Finite Group Databasebeta

← Group #11884613

Character table — Group #11884613

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444444668888888888888881212121212121212121212121212121616161616162424242424242424242424243636363648487272
order12223344666666234666661212121244246666612121212121212122444488121212121212121266612121244468121212242424242288121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-111111111111111-11-11-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-11-1-111-1-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-111-1-1-11
χ41111111111111111111111111111-1-11-1-111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111-11-1-1-1-1-1-111-1-1111-1
χ511111111111111111111111111-1-1111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111111-11-11-1-1-11111-1-1-1-111-1-1
χ611111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111-1-1-1-11-1-111-1-1111111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11-1-11-111111111-1-1-1-11-1
χ811111111111111111111111111-1-1-1-11-1-111-1-1111111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-11111-11
χ911111111111111-11-1-1-11111111111-1-111-1-1-1-1-1-111-1-11-1-11111-1-1111111111-1-1-1-1-111-1-1-1-111-1-111111-1-1-1
χ1011111111111111-11-1-1-11111111111-1-111-1-1-1-1-1-111-1-11-1-111-1-1-1-1111111111-1-1-11-1-111-1-1-1-1-111-1-1-1-1-1111
χ1111111111111111-11-1-1-1111111111-11-1-1-1-1-111-1-111-1-11-1-1-1-111-1-111-1-1-1-1-1-1-111111-11-1-11111-1-1-1-111-111-1
χ1211111111111111-11-1-1-1111111111-11-1-1-1-1-111-1-111-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111-11111-111-1-11111-1-11-1-11
χ1311111111111111-11-1-1-11111111-1-11-1-111-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-1-1-1111-1-1-1-111-1-111111-1-1-1-1-1-11-111
χ1411111111111111-11-1-1-11111111-1-11-1-111-1-1-1-1-1-111-1-1-111-1-1-1-111-1-1-1-1-1-1111-1-1-111-1-11111-1-1111111-11-1-1
χ1511111111111111-11-1-1-11111111-1-1-11-1-1-1-1-111-1-111-1-1-111111111-1-11111-1-1-11111-1-1-1-11-1-111-1-111-1-1-11-11
χ1611111111111111-11-1-1-11111111-1-1-11-1-1-1-1-111-1-111-1-1-11111-1-111-1-11111-1-1-1111-1-11-111-1-1-1-111-1-1111-11-1
χ17222222-2-222222222-222222-2-2-2-222002002200-2-2-2-2-2-2-22-2000022220000000000000-20-200000000000000
χ18222222-2-222222222-222222-2-2-2-2-2-2002002200-2-2-2-2-2-22-220000-2-2-2-2000000000000020200000000000000
χ19222222-2-2222222-222-2-2222-2-2-2-22200-200-2-20022-2-222-2-220000-2-2220000000000000-20200000000000000
χ20222222-2-2222222-222-2-2222-2-2-2-2-2-200-200-2-20022-2-22222-2000022-2-2000000000000020-200000000000000
χ2122222-1222-1-122-12-12-1-1-1-1-12-1-1222222-1-1-1-1-1-12-1-1-1-1-12222200-1-1-1-1-1-1-1-12-1-12-1-1020-10-1-1-1000000000000
χ2222222-1222-1-122-12-12-1-1-1-1-12-1-1222-2-2211-1-1112-1-1-1-1-1222-2-200-1-1-1-11111-211-2110-20-10-111000000000000
χ2322222-1222-1-122-12-12-1-1-1-1-12-1-12-2-2222-1-1-1-1-1-12-1-1-1-1-1-2-2-2-2-200111111112-1-12-1-10-2010111000000000000
χ2422222-1222-1-122-12-12-1-1-1-1-12-1-12-2-2-2-2211-1-1112-1-1-1-1-1-2-2-222001111-1-1-1-1-211-211020101-1-1000000000000
χ2522222-1222-1-122-1-2-1-211-1-1-12-1-12222-2-2-1-11111-21-1-1112-2-2220011-1-1-1-1-1-12-1-1-2110-20-10111000000000000
χ2622222-1222-1-122-1-2-1-211-1-1-12-1-1222-22-21111-1-1-21-1-1112-2-2-2-20011-1-11111-2112-1-1020-101-1-1000000000000
χ2722222-1222-1-122-1-2-1-211-1-1-12-1-12-2-22-2-2-1-11111-21-1-111-222-2-200-1-11111112-1-1-21102010-1-1-1000000000000
χ2822222-1222-1-122-1-2-1-211-1-1-12-1-12-2-2-22-21111-1-1-21-1-111-2222200-1-111-1-1-1-1-2112-1-10-2010-111000000000000
χ2922222-1-2-22-1-122-12-1-2-1-1-1-1-1-211-222002−i3i3-1-1−i3i3-211111-22-20000-1-1-1-1−i3−i3i3i30−i3i30−i3i3000101−i3i3000000000000
χ3022222-1-2-22-1-122-12-1-2-1-1-1-1-1-211-222002i3−i3-1-1i3−i3-211111-22-20000-1-1-1-1i3i3−i3−i30i3−i30i3−i3000101i3−i3000000000000
χ3122222-1-2-22-1-122-12-1-2-1-1-1-1-1-211-2-2-2002−i3i3-1-1−i3i3-2111112-2200001111i3i3−i3−i30−i3i30−i3i3000-10-1i3−i3000000000000
χ3222222-1-2-22-1-122-12-1-2-1-1-1-1-1-211-2-2-2002i3−i3-1-1i3−i3-2111112-2200001111−i3−i3i3i30i3−i30i3−i3000-10-1−i3i3000000000000
χ3322222-1-2-22-1-122-1-2-1211-1-1-1-211-22200-2−i3i311i3−i32-111-1-1-2-22000011-1-1−i3−i3i3i30−i3i30i3−i300010-1i3−i3000000000000
χ3422222-1-2-22-1-122-1-2-1211-1-1-1-211-22200-2i3−i311−i3i32-111-1-1-2-22000011-1-1i3i3−i3−i30i3−i30−i3i300010-1−i3i3000000000000
χ3522222-1-2-22-1-122-1-2-1211-1-1-1-211-2-2-200-2−i3i311i3−i32-111-1-122-20000-1-111i3i3−i3−i30−i3i30i3−i3000-101−i3i3000000000000
χ3622222-1-2-22-1-122-1-2-1211-1-1-1-211-2-2-200-2i3−i311−i3i32-111-1-122-20000-1-111−i3−i3i3i30i3−i30−i3i3000-101i3−i3000000000000
χ372222-1222-122-1-122-1222-1-1-1-122-10022-122-1-122-12-1-1-1-1000002200000000-1-1-1-1-1-120202000-1-1-1-10000-1-100
χ382222-1222-122-1-122-1222-1-1-1-122-10022-122-1-122-12-1-1-1-100000-2-200000000-1-1-1-1-1-1-20-20-2000111100001100
χ392222-1222-122-1-122-1222-1-1-1-122-100-2-2-1-2-2-1-1-2-2-12-1-1-1-1000002200000000111111-20-202000-1-1-1-100001100
χ402222-1222-122-1-122-1222-1-1-1-122-100-2-2-1-2-2-1-1-2-2-12-1-1-1-100000-2-2000000001111112020-200011110000-1-100
χ412222-1222-122-1-12-2-1-2-2-2-1-1-1-122-1002-212211-2-21-2-1-111000002200000000-1-1-1111-2020-2000-1-1110000-1100
χ422222-1222-122-1-12-2-1-2-2-2-1-1-1-122-1002-212211-2-21-2-1-11100000-2-200000000-1-1-111120-20200011-1-100001-100
χ432222-1222-122-1-12-2-1-2-2-2-1-1-1-122-100-221-2-211221-2-1-111000002200000000111-1-1-120-20-2000-1-11100001-100
χ442222-1222-122-1-12-2-1-2-2-2-1-1-1-122-100-221-2-211221-2-1-11100000-2-200000000111-1-1-1-2020200011-1-10000-1100
χ452-2-2222-22-2-2-22-2202000-22-2-22-2200000000000002-2000002-22-200002-22-2000000000000002-2002-2000000
χ462-2-2222-22-2-2-22-2202000-22-2-22-2200000000000002-2000002-2-2200002-22-200000000000000-2200-22000000
χ472-2-2222-22-2-2-22-2202000-22-2-22-2200000000000002-200000-222-20000-22-22000000000000002-200-22000000
χ482-2-2222-22-2-2-22-2202000-22-2-22-2200000000000002-200000-22-220000-22-2200000000000000-22002-2000000
χ494444-24-4-4-244-2-244-2-444-2-2-22-4-420000-200-2-2002-4222200000000000000000000000000000000000000000
χ504444-24-4-4-244-2-24-4-24-4-4-2-2-22-4-4200002002200-2422-2-200000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-20044-2-2-211-2-2-2-21111000000000000000-211-21100000000000000000000
χ524444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-200-4-4-2221122-2-211110000000000000002-1-12-1-100000000000000000000
χ534444-2-244-2-2-2-2-2-2-41-422111-2-2-2-2004-42-2-2-1-1222211-1-1000000000000000-2112-1-100000000000000000000
χ544444-2-244-2-2-2-2-2-2-41-422111-2-2-2-200-44222-1-1-2-22211-1-10000000000000002-1-1-21100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-241-4-2-211122220000-2−2i32i311−2i32i322-1-1-1-10000000000000000i3−i30i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-241-4-2-211122220000-22i3−2i3112i3−2i322-1-1-1-10000000000000000−i3i30−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-2-41422111222200002−2i32i3-1-12i3−2i3-2-2-1-1110000000000000000i3−i30−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-2-414221112222000022i3−2i3-1-1−2i32i3-2-2-1-1110000000000000000−i3i30i3−i300000000000000000000
χ5944-4-4440044-4-4-4-4040004-4-40000000000000000000000000000000000000000000000000000000022−220000
χ6044-4-4440044-4-4-4-4040004-4-400000000000000000000000000000000000000000000000000000000−22220000
χ614-44-44400-4-44-44-404000-4-4400004i−4i0000000000000000000000004i−4i000000000000000000000000000000
χ624-44-44400-4-44-44-404000-4-440000−4i4i000000000000000000000000−4i4i000000000000000000000000000000
χ634-44-44-200-42-2-4420-20−2i32i322-200004i−4i00000−2i32i300000000000000023−23−2i2i000000000000000000000000000000
χ644-44-44-200-42-2-4420-20−2i32i322-20000−4i4i00000−2i32i3000000000000000−23232i−2i000000000000000000000000000000
χ654-44-44-200-42-2-4420-202i3−2i322-200004i−4i000002i3−2i3000000000000000−2323−2i2i000000000000000000000000000000
χ664-44-44-200-42-2-4420-202i3−2i322-20000−4i4i000002i3−2i300000000000000023−232i−2i000000000000000000000000000000
χ674-4-44444-4-4-4-44-4404000-44-44-44-40000000000000-440000000000000000000000000000000000000000000
χ684-4-444-24-4-4224-4-20-20002-2242-2-400000000000002-20000000000000−2i32i32i3−2i300000000000000000000000000
χ694-4-444-24-4-4224-4-20-20002-2242-2-400000000000002-200000000000002i3−2i3−2i32i300000000000000000000000000
χ704-4-444-2-44-4224-4-20-20002-22-4-2240000000000000-22000004-4000000-22-2200000000000000000000000000
χ714-4-444-2-44-4224-4-20-20002-22-4-2240000000000000-2200000-440000002-22-200000000000000000000000000
χ724-4-44-244-42-4-4-2240-20002-22-2-44200000000000002-200000000000000000000000000000000023−2300000000
χ734-4-44-244-42-4-4-2240-20002-22-2-44200000000000002-2000000000000000000000000000000000−232300000000
χ744-4-44-24-442-4-4-2240-20002-2224-4-20000000000000-2200000004-40000000000000000000000-220000000000
χ754-4-44-24-442-4-4-2240-20002-2224-4-20000000000000-220000000-4400000000000000000000002-20000000000
χ7688-8-88-4008-44-8-840-4000-44400000000000000000000000000000000000000000000000000000000000000
χ7788-8-8-4800-48-844-80-4000-44400000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4-400-4-44444020002-2-200000000000000000006i−6i00000000000000000000000000000000000000000
χ7988-8-8-4-400-4-44444020002-2-20000000000000000000−6i6i00000000000000000000000000000000000000000
χ808-88-8-48004-884-4-80-400044-400000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4-40044-44-44020−4i34i3-2-22000000000002i3−2i30000000000000000000000000000000000000000000000000
χ828-88-8-4-40044-44-440204i3−4i3-2-2200000000000−2i32i30000000000000000000000000000000000000000000000000
χ838-8-88-4-48-8444-44-402000-22-2-44-440000000000000-220000000000000000000000000000000000000000000
χ848-8-88-4-4-88444-44-402000-22-24-44-400000000000002-20000000000000000000000000000000000000000000

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