Finite Group Databasebeta

← Group #11878853

Character table — Group #11878853

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444444446666668888888888881212121212121212121212121212121616161616161618182424242424242424243636364848487272
order122233446666663666881212121224242424224444246612122424242424244668888121212122424242466612121212442244661224244886121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-11-1-1111111-1-1-1-11-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-1-11-1111
χ51111111111111111111111111111-1-11111111111111111-1-1-1-1-111111111111111111-1-1-111-1-1-1-1-1-1-1-1-11-11-1-1
χ61111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-11-111
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
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1111111-1-1
χ9111111111111111111-1-11111-1-1-1-11111111-11111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1111-1-11-1-11-1-11-1
χ10111111111111111111-1-11111-1-1-1-1111111-11-1-111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1111111-1-111-1-11-1-11-1-1-111-11
χ11111111111111111111-1-11111-1-1-1-111-1-1-1-11-11111-1-1-1-1-1-1111-1-111-1-1-1-11111111-1-1-1-1-1-11-11-1111-1-1-111-1-11-11
χ12111111111111111111-1-11111-1-1-1-111-1-1-1-1-11-1-111-1-1-1-1-1-1111-1-111-1-1-1-11111-1-1-11111-1-1-11-11-1-11-1-1-11111-11-1
χ13111111111111111111-1-11111-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111-1-1-1-1-1-1-11-11-1-1-111-11111-1-11
χ14111111111111111111-1-11111-1-1-1-1-1-11111-11-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11111-1-11-11-111-111-111-1-111-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-111-1-111-1-1-1111-1-1-1111-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-111111111-1-111-1111-1-11-1-1-11
χ17222222-2-2222222222200-2-2-2-200002222-2-20000-2-2000000-222000022-2-20000000000022000000-200-20000000
χ18222222-2-2222222222200-2-2-2-2000022-2-2220000-2-2000000-2220000-2-22200000000000-2-2000000-20020000000
χ19222222-2-2222222222200-2-2-2-20000-2-222-2-20000-2-20000002-2-2000022-2-200000000000-2-200000020020000000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-2220000-2-20000002-2-20000-2-2220000000000022000000200-20000000
χ2122222-122-12-12-12-1-1-1-1222-12-1222222000022-1-1-1-1-1-1-1-1-1-12-1-12200000000002-1-1-12-1-1002002-1-1-1-1-10000-1000
χ2222222-122-12-12-12-1-1-1-1222-12-12222220000-2-211-1-1-1-1-1-1-1-12-1-1220000000000-2111-21100-200-211-1-1-100001000
χ2322222-122-12-12-12-1-1-1-1222-12-12222-2-2000022-1-1-1-1-1-1-1-1-1-1-211-2-200000000002-1-1-12-1-100-200-21111100001000
χ2422222-122-12-12-12-1-1-1-1222-12-12222-2-20000-2-211-1-1-1-1-1-1-1-1-211-2-20000000000-2111-211002002-1-11110000-1000
χ2522222-122-12-12-12-1-1-1-1-2-22-12-1-2-2-2-22200002-2-1-1-1-11111112-1-1-2-200000000002-1-11-21100200-2-1-1-11100001000
χ2622222-122-12-12-12-1-1-1-1-2-22-12-1-2-2-2-2220000-2211-1-11111112-1-1-2-20000000000-211-12-1-100-200211-1110000-1000
χ2722222-122-12-12-12-1-1-1-1-2-22-12-1-2-2-2-2-2-200002-2-1-1-1-1111111-2112200000000002-1-11-21100-2002111-1-10000-1000
χ2822222-122-12-12-12-1-1-1-1-2-22-12-1-2-2-2-2-2-20000-2211-1-1111111-211220000000000-211-12-1-100200-2-1-11-1-100001000
χ292222-12222-12-12-1-1-1-1-122-12-12-1-1-1-10022222222-1-122-1-1-1-10000022-1-1-1-1-1-1-1-1-1-1-12-1-1-100022000000000-10-100
χ302222-12222-12-12-1-1-1-1-122-12-12-1-1-1-1002222-2-2-2-2-1-122-1-1-1-10000022-1-1-1-1-1-1-1-1111-2111000-2-200000000010100
χ312222-12222-12-12-1-1-1-1-122-12-12-1-1-1-100-2-2-2-22222-1-122-1-1-1-100000-2-211111111-1-1-12-1-1-1000-2-200000000010100
χ322222-12222-12-12-1-1-1-1-122-12-12-1-1-1-100-2-2-2-2-2-2-2-2-1-122-1-1-1-100000-2-211111111111-211100022000000000-10-100
χ332222-12222-12-12-1-1-1-1-1-2-2-12-1211110022222-222-1-1-2-2111100000-2-2-1-1-1-11111-1-1-1-21110002-2000000000-10100
χ342222-12222-12-12-1-1-1-1-1-2-2-12-121111002222-22-2-2-1-1-2-2111100000-2-2-1-1-1-111111112-1-1-1000-2200000000010-100
χ352222-12222-12-12-1-1-1-1-1-2-2-12-12111100-2-2-2-22-222-1-1-2-2111100000221111-1-1-1-1-1-1-1-2111000-2200000000010-100
χ362222-12222-12-12-1-1-1-1-1-2-2-12-12111100-2-2-2-2-22-2-2-1-1-2-2111100000221111-1-1-1-11112-1-1-10002-2000000000-10100
χ3722-2-222002-2-22-2-222-2-2−i2i20000−i2−i2i2i22-22-200000000−i2i2−i2−i2i2i202-2−i2i2−i2i22-200−i2−i2i2i200000002-20000000−i2i20−i2i200000
χ3822-2-222002-2-22-2-222-2-2−i2i20000−i2−i2i2i22-2-2200000000−i2i2−i2−i2i2i202-2−i2i2i2−i2-2200i2i2−i2−i20000000-220000000−i2i20i2−i200000
χ3922-2-222002-2-22-2-222-2-2−i2i20000−i2−i2i2i2-222-200000000−i2i2−i2−i2i2i20-22i2−i2−i2i22-200−i2−i2i2i20000000-220000000i2−i20i2−i200000
χ4022-2-222002-2-22-2-222-2-2−i2i20000−i2−i2i2i2-22-2200000000−i2i2−i2−i2i2i20-22i2−i2i2−i2-2200i2i2−i2−i200000002-20000000i2−i20−i2i200000
χ4122-2-222002-2-22-2-222-2-2i2−i20000i2i2−i2−i22-22-200000000i2−i2i2i2−i2−i202-2i2−i2i2−i22-200i2i2−i2−i200000002-20000000i2−i20i2−i200000
χ4222-2-222002-2-22-2-222-2-2i2−i20000i2i2−i2−i22-2-2200000000i2−i2i2i2−i2−i202-2i2−i2−i2i2-2200−i2−i2i2i20000000-220000000i2−i20−i2i200000
χ4322-2-222002-2-22-2-222-2-2i2−i20000i2i2−i2−i2-222-200000000i2−i2i2i2−i2−i20-22−i2i2i2−i22-200i2i2−i2−i20000000-220000000−i2i20−i2i200000
χ4422-2-222002-2-22-2-222-2-2i2−i20000i2i2−i2−i2-22-2200000000i2−i2i2i2−i2−i20-22−i2i2−i2i2-2200−i2−i2i2i200000002-20000000−i2i20i2−i200000
χ4544444-2-4-4-24-24-24-2-2-2-200-42-420000440000000022000000-4-2-200000000000000000000000000020000000000
χ4644444-2-4-4-24-24-24-2-2-2-200-42-420000-4-40000000022000000422000000000000000000000000000-20000000000
χ474444-24-4-44-24-24-2-2-2-2-2002-42-400000044-4-40000220000000000000-2-222000000000000000000000000000000
χ484444-24-4-44-24-24-2-2-2-2-2002-42-4000000-4-444000022000000000000022-2-2000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000044-2-211-2-21111000000000000000-211-2-2110000000000000000000
χ504444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-2000000-4-42211-2-211110000000000000002-1-122-1-10000000000000000000
χ514444-2-244-2-2-2-2-2-21111-4-4-2-2-2-222220000004-4-2-21122-1-1-1-1000000000000000-21122-1-10000000000000000000
χ524444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000-44221122-1-1-1-10000000000000002-1-1-2-2110000000000000000000
χ5344-4-44-200-2-4242-4-2-222−2i22i20000−2i2−2i22i22i24-40000000000i2−i2i2i2−i2−i20-22−2i22i200000000000000000000000000i2−i200000000
χ5444-4-44-200-2-4242-4-2-222−2i22i20000−2i2−2i22i22i2-440000000000i2−i2i2i2−i2−i202-22i2−2i200000000000000000000000000−i2i200000000
χ5544-4-44-200-2-4242-4-2-2222i2−2i200002i22i2−2i2−2i24-40000000000−i2i2−i2−i2i2i20-222i2−2i200000000000000000000000000−i2i200000000
χ5644-4-44-200-2-4242-4-2-2222i2−2i200002i22i2−2i2−2i2-440000000000−i2i2−i2−i2i2i202-2−2i22i200000000000000000000000000i2−i200000000
χ5744-4-4-240042-4-2-42-2-222−2i22i20000i2i2−i2−i2004-400000000−2i22i2i2i2−i2−i200000−2i22i2-2200i2i2−i2−i200000000000000000000000000
χ5844-4-4-240042-4-2-42-2-222−2i22i20000i2i2−i2−i200-4400000000−2i22i2i2i2−i2−i2000002i2−2i22-200−i2−i2i2i200000000000000000000000000
χ5944-4-4-240042-4-2-42-2-2222i2−2i20000−i2−i2i2i2004-4000000002i2−2i2−i2−i2i2i2000002i2−2i2-2200−i2−i2i2i200000000000000000000000000
χ6044-4-4-240042-4-2-42-2-2222i2−2i20000−i2−i2i2i200-44000000002i2−2i2−i2−i2i2i200000−2i22i22-200i2i2−i2−i200000000000000000000000000
χ614-44-44400-4-44-4-444-4-44000000000000004-40000000000000000000004-4000000000000000000000000000000
χ624-44-44400-4-44-4-444-4-4400000000000000-44000000000000000000000-44000000000000000000000000000000
χ634-44-4-2400-4242-4-2-222-2000000i6−i6i6−i600004-400000000i6−i6i6−i6000000000-22i6−i6i6−i600000000000000000000000000
χ644-44-4-2400-4242-4-2-222-2000000i6−i6i6−i60000-4400000000i6−i6i6−i60000000002-2−i6i6−i6i600000000000000000000000000
χ654-44-4-2400-4242-4-2-222-2000000−i6i6−i6i600004-400000000−i6i6−i6i6000000000-22−i6i6−i6i600000000000000000000000000
χ664-44-4-2400-4242-4-2-222-2000000−i6i6−i6i60000-4400000000−i6i6−i6i60000000002-2i6−i6i6−i600000000000000000000000000
χ674-4-44444-4-44-4-44-44-44-400-4-444000000000000004-400000000000000000000000000000000000000000000000
χ684-4-4444-44-44-4-44-44-44-40044-4-400000000000000-4400000000000000000000000000000000000000000000000
χ694-4-444-24-4242-4-2-4-22-2200-424-2000000000000−2i32i3-220000000000000000000000−2i32i300000000000000000000000
χ704-4-444-24-4242-4-2-4-22-2200-424-20000000000002i3−2i3-2200000000000000000000002i3−2i300000000000000000000000
χ714-4-444-2-44242-4-2-4-22-22004-2-42000000000000002-20000000000000000000000000000000000−2i32i300000000000
χ724-4-444-2-44242-4-2-4-22-22004-2-42000000000000002-200000000000000000000000000000000002i3−2i300000000000
χ734-4-44-244-4-4-2-4242-22-22002-4-2423−23−23230000000000-220023−23−232300000000000000000000000000000000000000000
χ744-4-44-244-4-4-2-4242-22-22002-4-24−232323−230000000000-2200−232323−2300000000000000000000000000000000000000000
χ754-4-44-24-44-4-2-4242-22-2200-242-4000000000000002-20000000000000000023−23−232300000000000000000000000000
χ764-4-44-24-44-4-2-4242-22-2200-242-4000000000000002-200000000000000000−232323−2300000000000000000000000000
χ774-4-44-2-24-42-222-221-11-10022-2-223−23−232300000000−2i32i31-100−333−30000000000000000i3−i3003i−3i0000000000000000000
χ784-4-44-2-24-42-222-221-11-10022-2-223−23−2323000000002i3−2i31-100−333−30000000000000000−i3i300−3i3i0000000000000000000
χ794-4-44-2-24-42-222-221-11-10022-2-2−232323−2300000000−2i32i31-1003−3−330000000000000000i3−i300−3i3i0000000000000000000
χ804-4-44-2-24-42-222-221-11-10022-2-2−232323−23000000002i3−2i31-1003−3−330000000000000000−i3i3003i−3i0000000000000000000
χ818888-4-4-8-8-4-4-4-4-4-4222200444400000000000000-2-200000000000000000000000000000000000000000000000
χ8288-8-8-4-400-444-44422-2-2−4i24i200002i22i2−2i2−2i20000000000002i2−2i2−i2−i2i2i200000000000000000000000000000000000000000
χ8388-8-8-4-400-444-44422-2-24i2−4i20000−2i2−2i22i22i2000000000000−2i22i2i2i2−i2−i200000000000000000000000000000000000000000
χ848-88-88-4004-8-4-848-444-4000000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-40044-444-42-2-220000002i6−2i62i6−2i600000000000000−i6i6−i6i600000000000000000000000000000000000000000
χ868-88-8-4-40044-444-42-2-22000000−2i62i6−2i62i600000000000000i6−i6i6−i600000000000000000000000000000000000000000
χ878-8-88-4-4-884-444-442-22-200-4-44400000000000000-2200000000000000000000000000000000000000000000000

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