Finite Group Databasebeta

← Group #11882246

Character table — Group #11882246

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444444446666668888888888881212121212121212121212121212121616161616161618182424242424242424243636364848487272
order122233446666663666881212121224242424224444241212121224242424242446688881212121224242424666612121244244412121224244886121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-111-1-1-1-11-1-111111-1-1-1-1-1
χ311111111111111111111111111111111-1-1111111111111-11111-1-1-1-11111111111111-1-1-11-11-1-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111-1-1-1-1-1-111111111-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-1-11-1-111
χ51111111111111111111111111111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-11111111-1-11-11-111111-1-1-11-1-1-1-1
χ61111111111111111111111111111-1-1-1-111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1111-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1111111-1-1
χ9111111111111111111-1-11111-1-1-1-11111111-1-1-111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1111-1-111-1-1-1-11-1-111-1-11
χ10111111111111111111-1-11111-1-1-1-1111111-111111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111111-111-1111-1-11-1-1-1-111-1
χ11111111111111111111-1-11111-1-1-1-11111-1-11-1-1-111-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-111-11111-111-11-11-1
χ12111111111111111111-1-11111-1-1-1-11111-1-1-111111-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-111-1111-11-11
χ13111111111111111111-1-11111-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-11-1-111-1-111-1-111111111-1-1-1-1-111-1-11-1-1-1-1-1111-111-1
χ14111111111111111111-1-11111-1-1-1-1-1-1-1-111-111111-1-1-1-1-1-11-1-111-1-111-1-11111-1-1-1-1111-1-1-1-111111-1-1-111-11-1-11
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-111-111-1-111111-1-1-1-11-11
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11-1-1-1111-1-111-11-1
χ17222222-2-2222222222200-2-2-2-2000022-2-2220000-2-2000000-222000022-2-200000000000220000-20000-20000000
χ18222222-2-2222222222200-2-2-2-2000022-2-2-2-20000-2-20000002220000-2-2-2-200000000000-2-200002000020000000
χ19222222-2-2222222222200-2-2-2-20000-2-222220000-2-2000000-2-2-20000222200000000000-2-20000-2000020000000
χ20222222-2-2222222222200-2-2-2-20000-2-222-2-20000-2-20000002-2-20000-2-2220000000000022000020000-20000000
χ2122222-122-1-1222-1-1-1-1-122-12-12222200002222-1-1-1-1-1-1-1-1-1-12000022-1-10000002-1-1-12-1-1002020-1-1-1-1-1000-10000
χ2222222-122-1-1222-1-1-1-1-122-12-122222000022-2-211-1-1-1-1-1-1-1-12000022-1-1000000-2111-21100-20-20-111-1-100010000
χ2322222-122-1-1222-1-1-1-1-122-12-1222220000-2-222-1-1-1-1-1-1-1-1-1-1-20000-2-2110000002-1-1-12-1-100-20-201111100010000
χ2422222-122-1-1222-1-1-1-1-122-12-1222220000-2-2-2-211-1-1-1-1-1-1-1-1-20000-2-211000000-2111-2110020201-1-111000-10000
χ2522222-122-1-1222-1-1-1-1-1-2-2-12-12-2-2-2-20000222-211-1-111111120000-2-2-1-10000002-1-1-1-2110020-20-11111000-10000
χ2622222-122-1-1222-1-1-1-1-1-2-2-12-12-2-2-2-2000022-22-1-1-1-111111120000-2-2-1-1000000-21112-1-100-2020-1-1-11100010000
χ2722222-122-1-1222-1-1-1-1-1-2-2-12-12-2-2-2-20000-2-22-211-1-1111111-2000022110000002-1-1-1-21100-20201-1-1-1-100010000
χ2822222-122-1-1222-1-1-1-1-1-2-2-12-12-2-2-2-20000-2-2-22-1-1-1-1111111-200002211000000-21112-1-10020-20111-1-1000-10000
χ292222-122222-1-1-12-1-1-1-1222-12-1-1-1-1-12222002222-1-122-1-1-1-10-1-1220000-1-1-1-1-1-1-12-1-1-1-1-1000202000000000-1-100
χ302222-122222-1-1-12-1-1-1-1222-12-1-1-1-1-1222200-2-2-2-2-1-122-1-1-1-10-1-1220000-1-1-1-1-1-11-211111000-20-20000000001100
χ312222-122222-1-1-12-1-1-1-1222-12-1-1-1-1-1-2-2-2-2002222-1-122-1-1-1-1011-2-20000111111-12-1-1-1-1-1000-20-20000000001100
χ322222-122222-1-1-12-1-1-1-1222-12-1-1-1-1-1-2-2-2-200-2-2-2-2-1-122-1-1-1-1011-2-200001111111-211111000202000000000-1-100
χ332222-122222-1-1-12-1-1-1-1-2-22-12-111112222002-2-2-2-1-1-2-211110-1-1-2-20000-1-11111-12-1-1111000-202000000000-1100
χ342222-122222-1-1-12-1-1-1-1-2-22-12-11111222200-2222-1-1-2-211110-1-1-2-20000-1-111111-211-1-1-100020-20000000001-100
χ352222-122222-1-1-12-1-1-1-1-2-22-12-11111-2-2-2-2002-2-2-2-1-1-2-2111101122000011-1-1-1-1-12-1-111100020-20000000001-100
χ362222-122222-1-1-12-1-1-1-1-2-22-12-11111-2-2-2-200-2222-1-1-2-2111101122000011-1-1-1-11-211-1-1-1000-202000000000-1100
χ372-2-2222002-22-2-2-222-2-2−i2i20000−i2−i2i2i22-2002-2000000−i2i2−i2−i2i2i202-2−i2i2−i2i22-200−i2−i2i2i200000002-20000000−i2i20−i2i200000
χ382-2-2222002-22-2-2-222-2-2−i2i20000−i2−i2i2i22-200-22000000−i2i2−i2−i2i2i202-2−i2i2i2−i2-2200−i2−i2i2i20000000-220000000i2−i20i2−i200000
χ392-2-2222002-22-2-2-222-2-2−i2i20000−i2−i2i2i2-22002-2000000−i2i2−i2−i2i2i20-22i2−i2−i2i22-200i2i2−i2−i20000000-220000000−i2i20i2−i200000
χ402-2-2222002-22-2-2-222-2-2−i2i20000−i2−i2i2i2-2200-22000000−i2i2−i2−i2i2i20-22i2−i2i2−i2-2200i2i2−i2−i200000002-20000000i2−i20−i2i200000
χ412-2-2222002-22-2-2-222-2-2i2−i20000i2i2−i2−i22-2002-2000000i2−i2i2i2−i2−i202-2i2−i2i2−i22-200i2i2−i2−i200000002-20000000i2−i20i2−i200000
χ422-2-2222002-22-2-2-222-2-2i2−i20000i2i2−i2−i22-200-22000000i2−i2i2i2−i2−i202-2i2−i2−i2i2-2200i2i2−i2−i20000000-220000000−i2i20−i2i200000
χ432-2-2222002-22-2-2-222-2-2i2−i20000i2i2−i2−i2-22002-2000000i2−i2i2i2−i2−i20-22−i2i2i2−i22-200−i2−i2i2i20000000-220000000i2−i20−i2i200000
χ442-2-2222002-22-2-2-222-2-2i2−i20000i2i2−i2−i2-2200-22000000i2−i2i2i2−i2−i20-22−i2i2−i2i2-2200−i2−i2i2i200000002-20000000−i2i20i2−i200000
χ4544444-2-4-4-2-2444-2-2-2-2-2002-42-40000000044000022000000-4000000-2-200000000000000000002000000000000
χ4644444-2-4-4-2-2444-2-2-2-2-2002-42-400000000-4-40000220000004000000220000000000000000000-2000000000000
χ474444-24-4-444-2-2-24-2-2-2-200-42-42000044-4-4000000220000000-2-200000022000000000000000000000000000000
χ484444-24-4-444-2-2-24-2-2-2-200-42-420000-4-44400000022000000022000000-2-2000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000044-2-211-2-21111000000000000000-2-211-2110000000000000000000
χ504444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-2000000-4-42211-2-2111100000000000000022-1-12-1-10000000000000000000
χ514444-2-244-2-2-2-2-2-21111-4-4-2-2-2-222220000004-4221122-1-1-1-1000000000000000-2-2112-1-10000000000000000000
χ524444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000-44-2-21122-1-1-1-100000000000000022-1-1-2110000000000000000000
χ5344-4-44400-4-4-44-444-44-40000000000004i−4i000000000000000000000004i−4i000000000000000000000000000000
χ5444-4-44400-4-4-44-444-44-4000000000000−4i4i00000000000000000000000−4i4i000000000000000000000000000000
χ5544-4-4-2400-4-42-224-22-220000006−66−6004i−4i00000000006−66−6000000000−2i2ii6−i6i6−i600000000000000000000000000
χ5644-4-4-2400-4-42-224-22-220000006−66−600−4i4i00000000006−66−60000000002i−2i−i6i6−i6i600000000000000000000000000
χ5744-4-4-2400-4-42-224-22-22000000−66−66004i−4i0000000000−66−66000000000−2i2i−i6i6−i6i600000000000000000000000000
χ5844-4-4-2400-4-42-224-22-22000000−66−6600−4i4i0000000000−66−660000000002i−2ii6−i6i6−i600000000000000000000000000
χ594-44-4444-4-44-4-44-44-4-440044-4-4000000000000004-400000000000000000000000000000000000000000000000
χ604-44-444-44-44-4-44-44-4-4400-4-44400000000000000-4400000000000000000000000000000000000000000000000
χ614-44-44-24-42-2-4-442-222-200-242-400000000000000-220000000000000000000000000000000000023−230000000000
χ624-44-44-24-42-2-4-442-222-200-242-400000000000000-2200000000000000000000000000000000000−23230000000000
χ634-44-44-2-442-2-4-442-222-2002-4-24000000000000−2i32i32-200000000000000000000000000−2i32i30000000000000000000
χ644-44-44-2-442-2-4-442-222-2002-4-240000000000002i3−2i32-2000000000000000000000000002i3−2i30000000000000000000
χ654-44-4-244-4-4422-2-4-222-2004-2-4200000000000000-220000000000000000023−23−232300000000000000000000000000
χ664-44-4-244-4-4422-2-4-222-2004-2-4200000000000000-2200000000000000000−232323−2300000000000000000000000000
χ674-44-4-24-44-4422-2-4-222-200-424-2−2i32i32i3−2i300000000002-200−2i32i32i3−2i300000000000000000000000000000000000000000
χ684-44-4-24-44-4422-2-4-222-200-424-22i3−2i3−2i32i300000000002-2002i3−2i3−2i32i300000000000000000000000000000000000000000
χ694-44-4-2-2-442-222-221-1-110022-2-2−2i32i32i3−2i300000000−2i32i3-1100i3−i3−i3i3000000000000000003-30i3−i30000000000000000000
χ704-44-4-2-2-442-222-221-1-110022-2-2−2i32i32i3−2i3000000002i3−2i3-1100i3−i3−i3i300000000000000000-330−i3i30000000000000000000
χ714-44-4-2-2-442-222-221-1-110022-2-22i3−2i3−2i32i300000000−2i32i3-1100−i3i3i3−i300000000000000000-330i3−i30000000000000000000
χ724-44-4-2-2-442-222-221-1-110022-2-22i3−2i3−2i32i3000000002i3−2i3-1100−i3i3i3−i3000000000000000003-30−i3i30000000000000000000
χ734-4-444-200-224-4-42-2-222−2i22i20000−2i2−2i22i22i200004-4000000i2−i2i2i2−i2−i200000−2i22i2-220000000000000000000000i2−i200000000
χ744-4-444-200-224-4-42-2-222−2i22i20000−2i2−2i22i22i20000-44000000i2−i2i2i2−i2−i2000002i2−2i22-20000000000000000000000−i2i200000000
χ754-4-444-200-224-4-42-2-2222i2−2i200002i22i2−2i2−2i200004-4000000−i2i2−i2−i2i2i2000002i2−2i2-220000000000000000000000−i2i200000000
χ764-4-444-200-224-4-42-2-2222i2−2i200002i22i2−2i2−2i20000-44000000−i2i2−i2−i2i2i200000−2i22i22-20000000000000000000000i2−i200000000
χ774-4-44-24004-4-222-4-2-222−2i22i20000i2i2−i2−i24-40000000000−2i22i2i2i2−i2−i20-22−2i22i2000000i2i2−i2−i200000000000000000000000000
χ784-4-44-24004-4-222-4-2-222−2i22i20000i2i2−i2−i2-440000000000−2i22i2i2i2−i2−i202-22i2−2i2000000−i2−i2i2i200000000000000000000000000
χ794-4-44-24004-4-222-4-2-2222i2−2i20000−i2−i2i2i24-400000000002i2−2i2−i2−i2i2i20-222i2−2i2000000−i2−i2i2i200000000000000000000000000
χ804-4-44-24004-4-222-4-2-2222i2−2i20000−i2−i2i2i2-4400000000002i2−2i2−i2−i2i2i202-2−2i22i2000000i2i2−i2−i200000000000000000000000000
χ818888-4-4-8-8-4-4-4-4-4-4222200444400000000000000-2-200000000000000000000000000000000000000000000000
χ8288-8-88-40044-88-8-4-44-44000000000000000000000000000000000000000000000000000000000000000000000
χ8388-8-8-4-400444-44-42-22-200000026−2626−2600000000000000−66−6600000000000000000000000000000000000000000
χ8488-8-8-4-400444-44-42-22-2000000−2626−2626000000000000006−66−600000000000000000000000000000000000000000
χ858-88-8-4-48-84-444-442-2-2200-4-444000000000000002-200000000000000000000000000000000000000000000000
χ868-8-88-4-400-44-444422-2-2−4i24i200002i22i2−2i2−2i20000000000002i2−2i2−i2−i2i2i200000000000000000000000000000000000000000
χ878-8-88-4-400-44-444422-2-24i2−4i20000−2i2−2i22i22i2000000000000−2i22i2i2i2−i2−i200000000000000000000000000000000000000000

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