Finite Group Databasebeta

← Group #11889138

Character table — Group #11889138

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444444444668888888888888812121212121212121212121212121212121616161616162424242424242424242424242424243636727272
order1222334466666623466666121212121212222466666121212121212122244444666666881212666121212246681212121212122424242488448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1111111-1-1111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-11-1-1111-1-11111-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1-11-1-1-1111111-1-1-1-1-1-111-1
χ4111111111111111111111111111111-1-11-1-1111-1-11111-1-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-11
χ51111111111111111111111111111-1-111111111111111-1-1-1-1-111-1-1-1-1-1-111-1-1111111-11-1-11-1-111111111-1-1-1-1-1
χ61111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111-1-1-1-11-1-1111-1-1111111-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-111-1-11
χ81111111111111111111111111111-1-1-1-11-1-1111-1-1111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-11111-1-111-1
χ911111111111111-11-1-1-1111-1-11111111-1-111-1-1-1-1-111-1-111-11-11111111111-1-1111-1-1-1-1-1-1-1-1-11-1-11111-1-111-11-1
χ1011111111111111-11-1-1-1111-1-11111111-1-111-1-1-1-1-111-1-111-11-1-1-1111111-1-1-1-1111-1-1-1-11-1-11-1111-1-1-1-111-1-11-11
χ1111111111111111-11-1-1-1111-1-1111111-11-1-1-1-1-1-11111-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-11111-1111-11-1-111-1-111-1-1-111
χ1211111111111111-11-1-1-1111-1-1111111-11-1-1-1-1-1-11111-1-1-1-1-11-1-1-111-1-1-1-111-1-1-1-1-11111111-1-1111-1-111-1-1111-1-1
χ1311111111111111-11-1-1-1111-1-11111-1-11-1-111-1-1-1-1-111-1-1-1-11-1111-1-1-1-1-1-11111111-1-1-11-111-11-1-1-11111-1-1-1-11-11
χ1411111111111111-11-1-1-1111-1-11111-1-11-1-111-1-1-1-1-111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-111111-1-1-1111111-111-1-1-1-11111-11-1
χ1511111111111111-11-1-1-1111-1-11111-1-1-11-1-1-1-1-1-11111-1-1111-1111-1-11111-1-111-1-1-1111-1-1-1-111-1-1-111-1-111111-1-1
χ1611111111111111-11-1-1-1111-1-11111-1-1-11-1-1-1-1-1-11111-1-1111-11-1-1-1-111111111-1-1-1111-11-1-1-11-111-1-111-1-1-1-1-111
χ17222222-2-222222222-222222-2-2-2-2-2-2220020022-200-2-2-2-200-2-2200220000002200000000000-2-20000000000000
χ18222222-2-222222222-222222-2-2-2-2-2-2-2-20020022-200-2-2-2-20022-200-2-2000000-2-200000000000220000000000000
χ19222222-2-2222222-222-2-222222-2-2-2-22200-200-2-2200-2-222002-2-20022000000-2-2000000000002-20000000000000
χ20222222-2-2222222-222-2-222222-2-2-2-2-2-200-200-2-2200-2-22200-22200-2-20000002200000000000-220000000000000
χ2122222-1222-1-1-1222-12-1-1-1-1-122-1-12222222-1-1-1-1-1-1-1-1-1-1-12222200-1-1-1-1-1-100-1-12-1-12-1-120-1-10-1-10000000000000
χ2222222-1222-1-1-1222-12-1-1-1-1-122-1-12222-2-2211-1-1-111-1-1-1-1-2-222200-1-1111100-1-1-211-211-20110-1-10000000000000
χ2322222-1222-1-1-1222-12-1-1-1-1-122-1-122-2-2222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-20011111100112-1-12-1-1-20110110000000000000
χ2422222-1222-1-1-1222-12-1-1-1-1-122-1-122-2-2-2-2211-1-1-111-1-1-1-122-2-2-20011-1-1-1-10011-211-21120-1-10110000000000000
χ2522222-1222-1-1-122-2-1-211-1-1-1-2-2-1-122222-2-2-1-111111-1-11122-22-200-1-1-1-1-1-100112-1-1-211-201101-10000000000000
χ2622222-1222-1-1-122-2-1-211-1-1-1-2-2-1-12222-22-211111-1-1-1-111-2-2-22-200-1-111110011-2112-1-120-1-101-10000000000000
χ2722222-1222-1-1-122-2-1-211-1-1-1-2-2-1-122-2-22-2-2-1-111111-1-111-2-22-220011111100-1-12-1-1-21120-1-10-110000000000000
χ2822222-1222-1-1-122-2-1-211-1-1-1-2-2-1-122-2-2-22-211111-1-1-1-111222-220011-1-1-1-100-1-1-2112-1-1-20110-110000000000000
χ2922222-1-2-22-1-1-1222-1-2-1-1-1-1-1-2-211-2-222002−i3i3-1-11−i3i3111100-2-2200-1-1−i3−i3i3i300-1-10−i3i30−i3i300−i3i30110000000000000
χ3022222-1-2-22-1-1-1222-1-2-1-1-1-1-1-2-211-2-222002i3−i3-1-11i3−i3111100-2-2200-1-1i3i3−i3−i300-1-10i3−i30i3−i300i3−i30110000000000000
χ3122222-1-2-22-1-1-1222-1-2-1-1-1-1-1-2-211-2-2-2-2002−i3i3-1-11−i3i311110022-20011i3i3−i3−i300110−i3i30−i3i300i3−i30-1-10000000000000
χ3222222-1-2-22-1-1-1222-1-2-1-1-1-1-1-2-211-2-2-2-2002i3−i3-1-11i3−i311110022-20011−i3−i3i3i300110i3−i30i3−i300−i3i30-1-10000000000000
χ3322222-1-2-22-1-1-122-2-1211-1-1-12211-2-22200-2−i3i311-1i3−i311-1-1002-2-200-1-1−i3−i3i3i300110−i3i30i3−i300i3−i30-110000000000000
χ3422222-1-2-22-1-1-122-2-1211-1-1-12211-2-22200-2i3−i311-1−i3i311-1-1002-2-200-1-1i3i3−i3−i300110i3−i30−i3i300−i3i30-110000000000000
χ3522222-1-2-22-1-1-122-2-1211-1-1-12211-2-2-2-200-2−i3i311-1i3−i311-1-100-2220011i3i3−i3−i300-1-10−i3i30i3−i300−i3i301-10000000000000
χ3622222-1-2-22-1-1-122-2-1211-1-1-12211-2-2-2-200-2i3−i311-1−i3i311-1-100-2220011−i3−i3i3i300-1-10i3−i30−i3i300i3−i301-10000000000000
χ372222-1222-1222-1-12-1222-1-1-1-1-122-1-10022-122-1-1222-1-1-1-100000220000002200-1-1-1-1-1-10200200-1-1-1-1-1-1-1-100000
χ382222-1222-1222-1-12-1222-1-1-1-1-122-1-10022-122-1-1222-1-1-1-100000-2-2000000-2-200-1-1-1-1-1-10-200-2001111111100000
χ392222-1222-1222-1-12-1222-1-1-1-1-122-1-100-2-2-1-2-2-1-12-2-2-1-1-1-10000022000000-2-2001111110200-200-1-1-1-1111100000
χ402222-1222-1222-1-12-1222-1-1-1-1-122-1-100-2-2-1-2-2-1-12-2-2-1-1-1-100000-2-200000022001111110-2002001111-1-1-1-100000
χ412222-1222-1222-1-1-2-1-2-2-2-1-1-11122-1-1002-212211-2-2-2-1-11100000220000002200-1-1-11110-200-20011-1-1-1-11100000
χ422222-1222-1222-1-1-2-1-2-2-2-1-1-11122-1-1002-212211-2-2-2-1-11100000-2-2000000-2-200-1-1-11110200200-1-11111-1-100000
χ432222-1222-1222-1-1-2-1-2-2-2-1-1-11122-1-100-221-2-211-222-1-1110000022000000-2-200111-1-1-10-20020011-1-111-1-100000
χ442222-1222-1222-1-1-2-1-2-2-2-1-1-11122-1-100-221-2-211-222-1-11100000-2-20000002200111-1-1-10200-200-1-111-1-11100000
χ452-22-2222-22-22-2-2-202000-22-2002-22-20000000000002-2002-20002i−2i002-22-200000000000000000002i−2i00002i−2i000
χ462-22-2222-22-22-2-2-202000-22-2002-22-20000000000002-2002-2000−2i2i002-22-20000000000000000000−2i2i0000−2i2i000
χ472-22-2222-22-22-2-2-202000-22-2002-22-20000000000002-200-220002i−2i00-22-2200000000000000000002i−2i0000−2i2i000
χ482-22-2222-22-22-2-2-202000-22-2002-22-20000000000002-200-22000−2i2i00-22-220000000000000000000−2i2i00002i−2i000
χ494444-24-4-4-2444-2-24-2-444-2-2-222-4-4220000-200-2-2-40022220000000000000000000000000000000000000000000
χ504444-24-4-4-2444-2-2-4-24-4-4-2-2-2-2-2-4-42200002002240022-2-20000000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-20044-2-2-211-2-2-2111100000000000000000-211-21100000000000000000000
χ524444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-200-4-4-22211-2221111000000000000000002-1-12-1-100000000000000000000
χ534444-2-244-2-2-2-2-2-2-41-42211122-2-2-2-2004-42-2-2-1-122211-1-100000000000000000-2112-1-100000000000000000000
χ544444-2-244-2-2-2-2-2-2-41-42211122-2-2-2-200-44222-1-12-2-211-1-1000000000000000002-1-1-21100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-241-4-2-21112222220000-2−2i32i3112−2i32i3-1-1-1-1000000000000000000i3−i30i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-241-4-2-21112222220000-22i3−2i31122i3−2i3-1-1-1-1000000000000000000−i3i30−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-2-41422111-2-2222200002−2i32i3-1-1-22i3−2i3-1-111000000000000000000i3−i30−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-2-41422111-2-22222000022i3−2i3-1-1-2−2i32i3-1-111000000000000000000−i3i30i3−i300000000000000000000
χ5944-4-44400-44-4-44-4040004-4-400000000000000000000000000000000000−2i22i20000000000000000000−2i22i20000000
χ6044-4-44400-44-4-44-4040004-4-4000000000000000000000000000000000002i2−2i200000000000000000002i2−2i20000000
χ6144-4-4-240024-4-4-220-2000-22223−2300000000000000000023−230000000000000−2i22i20000000000000000000i2−i2i6−i600000
χ6244-4-4-240024-4-4-220-2000-22223−2300000000000000000023−2300000000000002i2−2i20000000000000000000−i2i2−i6i600000
χ6344-4-4-240024-4-4-220-2000-222−2323000000000000000000−23230000000000000−2i22i20000000000000000000i2−i2−i6i600000
χ6444-4-4-240024-4-4-220-2000-222−2323000000000000000000−232300000000000002i2−2i20000000000000000000−i2i2i6−i600000
χ654-44-444-444-44-4-4-404000-44-400-44-44000000000000-44000000000000000000000000000000000000000000000
χ664-44-44-24-442-22-4-40-20002-2200-224-4000000000000-22004-40000000-22-22000000000000000000000000000000
χ674-44-44-24-442-22-4-40-20002-2200-224-4000000000000-2200-4400000002-22-2000000000000000000000000000000
χ684-44-44-2-4442-22-4-40-20002-22002-2-440000000000002-200000000000−2i32i32i3−2i3000000000000000000000000000000
χ694-44-44-2-4442-22-4-40-20002-22002-2-440000000000002-2000000000002i3−2i3−2i32i3000000000000000000000000000000
χ704-44-4-244-4-2-44-4220-20002-22004-4-22000000000000-2200000004i−4i0000000000000000000000000−2i2i000000000
χ714-44-4-244-4-2-44-4220-20002-22004-4-22000000000000-220000000−4i4i00000000000000000000000002i−2i000000000
χ724-44-4-24-44-2-44-4220-20002-2200-442-20000000000002-20000000000000000000000000000000023−2300000000000
χ734-44-4-24-44-2-44-4220-20002-2200-442-20000000000002-200000000000000000000000000000000−232300000000000
χ744-4-444400-4-4-44-4404000-4-440000004-40000000000000000000004-40000000000000000000000000000000000
χ754-4-444400-4-4-44-4404000-4-44000000-44000000000000000000000-440000000000000000000000000000000000
χ764-4-444-200-422-2-440-20−2i32i322-20000004-400000−2i32i300000000000000-22000000−2i32i300000000000000000000000000
χ774-4-444-200-422-2-440-20−2i32i322-2000000-4400000−2i32i3000000000000002-20000002i3−2i300000000000000000000000000
χ784-4-444-200-422-2-440-202i3−2i322-20000004-4000002i3−2i300000000000000-220000002i3−2i300000000000000000000000000
χ794-4-444-200-422-2-440-202i3−2i322-2000000-44000002i3−2i3000000000000002-2000000−2i32i300000000000000000000000000
χ8088-8-88-400-8-4448-80-4000-44400000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-4004-444-44020002-2-243−43000000000000000000−23230000000000000000000000000000000000000000000
χ8288-8-8-4-4004-444-44020002-2-2−434300000000000000000023−230000000000000000000000000000000000000000000
χ838-88-8-4-48-8-44-444402000-22-200-44-440000000000002-2000000000000000000000000000000000000000000000
χ848-88-8-4-4-88-44-444402000-22-2004-44-4000000000000-22000000000000000000000000000000000000000000000
χ858-8-88-48004-8-884-40-400044-400000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400444-44-4020−4i34i3-2-2200000000000002i3−2i300000000000000000000000000000000000000000000000000
χ878-8-88-4-400444-44-40204i3−4i3-2-220000000000000−2i32i300000000000000000000000000000000000000000000000000

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