Finite Group Databasebeta

← Group #11878714

Character table — Group #11878714

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
χ3111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-111-111111-1-1-1-11-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-11-1111
χ51111111111111111111111111111-1-11111111111111111-1-1-1-1-111111111111111111-1-11-1-11-1-1-1-1-1-1-1-11-11-1-1
χ61111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11-111
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
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1111111-1-1
χ9111111111111111111-1-11111-1-1-1-11111111-1-1-111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-11111-1-11-1-1-1-11-1-111-11-1
χ10111111111111111111-1-11111-1-1-1-1111111-111111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111111-1-11-1-1-1-11-11
χ11111111111111111111-1-11111-1-1-1-111-1-1-1-11-1-1-111-1-1-1-1-1-1111-1-111-1-1-1-111111111-1-1-1-1-1-11-111-1-1-1-1-111-111-11
χ12111111111111111111-1-11111-1-1-1-111-1-1-1-1-111111-1-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-1111-1-11-11-1111-1-1-1111-1-11-1
χ13111111111111111111-1-11111-1-1-1-1-1-111111-1-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-11-11-1-11111-1111-1-1-11
χ14111111111111111111-1-11111-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111-1-1-11-11-1-1-111-111-1111-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-111-1-111-111111-1-1-1-111-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1111-1-111-1-11
χ17222222-2-2222222222200-2-2-2-200002222-2-20000-2-2000000-222000022-2-200000000000-2-20000-2000020000000
χ18222222-2-2222222222200-2-2-2-2000022-2-2220000-2-2000000-2220000-2-22200000000000220000-20000-20000000
χ19222222-2-2222222222200-2-2-2-20000-2-222-2-20000-2-20000002-2-2000022-2-20000000000022000020000-20000000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-2220000-2-20000002-2-20000-2-22200000000000-2-200002000020000000
χ2122222-1222-1-12-12-1-1-1-122-12-12-1-1-1-10022222222-1-122-1-1-1-10000022-1-1-1-1-1-1-1-12-1-1-1-1-1-100200200000000-10-100
χ2222222-1222-1-12-12-1-1-1-122-12-12-1-1-1-1002222-2-2-2-2-1-122-1-1-1-10000022-1-1-1-1-1-1-1-1-211111100-200-20000000010100
χ2322222-1222-1-12-12-1-1-1-122-12-12-1-1-1-100-2-2-2-22222-1-122-1-1-1-100000-2-2111111112-1-1-1-1-1-100-200-20000000010100
χ2422222-1222-1-12-12-1-1-1-122-12-12-1-1-1-100-2-2-2-2-2-2-2-2-1-122-1-1-1-100000-2-211111111-211111100200200000000-10-100
χ2522222-1222-1-12-12-1-1-1-1-2-2-12-1211110022222-2-2-2-1-1-2-2111100000-2-2-1-1-1-111112-1-1-111100200-200000000-10100
χ2622222-1222-1-12-12-1-1-1-1-2-2-12-121111002222-2222-1-1-2-2111100000-2-2-1-1-1-11111-2111-1-1-100-20020000000010-100
χ2722222-1222-1-12-12-1-1-1-1-2-2-12-12111100-2-2-2-22-2-2-2-1-1-2-2111100000221111-1-1-1-12-1-1-111100-20020000000010-100
χ2822222-1222-1-12-12-1-1-1-1-2-2-12-12111100-2-2-2-2-2222-1-1-2-2111100000221111-1-1-1-1-2111-1-1-100200-200000000-10100
χ292222-1222-122-12-1-1-1-1-1222-12-1222222000022-1-1-1-1-1-1-1-1-1-12-1-1220000000000-12-1-12-1-1000220-1-1-1-1-10000-1000
χ302222-1222-122-12-1-1-1-1-1222-12-12222220000-2-211-1-1-1-1-1-1-1-12-1-12200000000001-211-211000-2-20-111-1-100001000
χ312222-1222-122-12-1-1-1-1-1222-12-12222-2-2000022-1-1-1-1-1-1-1-1-1-1-211-2-20000000000-12-1-12-1-1000-2-201111100001000
χ322222-1222-122-12-1-1-1-1-1222-12-12222-2-20000-2-211-1-1-1-1-1-1-1-1-211-2-200000000001-211-2110002201-1-1110000-1000
χ332222-1222-122-12-1-1-1-1-1-2-22-12-1-2-2-2-22200002-211-1-11111112-1-1-2-20000000000-12-1-1-2110002-20-111110000-1000
χ342222-1222-122-12-1-1-1-1-1-2-22-12-1-2-2-2-2220000-22-1-1-1-11111112-1-1-2-200000000001-2112-1-1000-220-1-1-11100001000
χ352222-1222-122-12-1-1-1-1-1-2-22-12-1-2-2-2-2-2-200002-211-1-1111111-211220000000000-12-1-1-211000-2201-1-1-1-100001000
χ362222-1222-122-12-1-1-1-1-1-2-22-12-1-2-2-2-2-2-20000-22-1-1-1-1111111-2112200000000001-2112-1-10002-20111-1-10000-1000
χ372-22-22200-22-22-2-222-2-2−i2i20000−i2−i2i2i22-2002-2000000−i2i2−i2−i2i2i202-2−i2i2−i2i2002-2−i2−i2i2i200000002-20000000−i2i20−i2i200000
χ382-22-22200-22-22-2-222-2-2−i2i20000−i2−i2i2i22-200-22000000−i2i2−i2−i2i2i202-2−i2i2i2−i200-22i2i2−i2−i20000000-220000000−i2i20i2−i200000
χ392-22-22200-22-22-2-222-2-2−i2i20000−i2−i2i2i2-22002-2000000−i2i2−i2−i2i2i20-22i2−i2−i2i2002-2−i2−i2i2i20000000-220000000i2−i20i2−i200000
χ402-22-22200-22-22-2-222-2-2−i2i20000−i2−i2i2i2-2200-22000000−i2i2−i2−i2i2i20-22i2−i2i2−i200-22i2i2−i2−i200000002-20000000i2−i20−i2i200000
χ412-22-22200-22-22-2-222-2-2i2−i20000i2i2−i2−i22-2002-2000000i2−i2i2i2−i2−i202-2i2−i2i2−i2002-2i2i2−i2−i200000002-20000000i2−i20i2−i200000
χ422-22-22200-22-22-2-222-2-2i2−i20000i2i2−i2−i22-200-22000000i2−i2i2i2−i2−i202-2i2−i2−i2i200-22−i2−i2i2i20000000-220000000i2−i20−i2i200000
χ432-22-22200-22-22-2-222-2-2i2−i20000i2i2−i2−i2-22002-2000000i2−i2i2i2−i2−i20-22−i2i2i2−i2002-2i2i2−i2−i20000000-220000000−i2i20−i2i200000
χ442-22-22200-22-22-2-222-2-2i2−i20000i2i2−i2−i2-2200-22000000i2−i2i2i2−i2−i20-22−i2i2−i2i200-22−i2−i2i2i200000002-20000000−i2i20i2−i200000
χ4544444-2-4-44-2-24-24-2-2-2-2002-42-400000044-4-40000220000000000000-2-222000000000000000000000000000000
χ4644444-2-4-44-2-24-24-2-2-2-2002-42-4000000-4-444000022000000000000022-2-2000000000000000000000000000000
χ474444-24-4-4-244-24-2-2-2-2-200-42-420000440000000022000000-4-2-200000000000000000000000002000000000000
χ484444-24-4-4-244-24-2-2-2-2-200-42-420000-4-400000000220000004220000000000000000000000000-2000000000000
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
χ5344-4-444004-44-4-4-44-44-40000000000004-40000000000000000000004-400000000000000000000000000000000
χ5444-4-444004-44-4-4-44-44-4000000000000-44000000000000000000000-4400000000000000000000000000000000
χ5544-4-44-20042-2-42-4-22-220000006−66−6004-400000000006−66−60000000-22006−66−600000000000000000000000000
χ5644-4-44-20042-2-42-4-22-220000006−66−600-4400000000006−66−600000002-200−66−6600000000000000000000000000
χ5744-4-44-20042-2-42-4-22-22000000−66−66004-40000000000−66−660000000-2200−66−6600000000000000000000000000
χ5844-4-44-20042-2-42-4-22-22000000−66−6600-440000000000−66−6600000002-2006−66−600000000000000000000000000
χ594-44-44-200-4-2242-4-2-222−2i22i20000i2i2−i2−i200004-4000000−2i22i2i2i2−i2−i200000−2i22i200-22i2i2−i2−i200000000000000000000000000
χ604-44-44-200-4-2242-4-2-222−2i22i20000i2i2−i2−i20000-44000000−2i22i2i2i2−i2−i2000002i2−2i2002-2−i2−i2i2i200000000000000000000000000
χ614-44-44-200-4-2242-4-2-2222i2−2i20000−i2−i2i2i200004-40000002i2−2i2−i2−i2i2i2000002i2−2i200-22−i2−i2i2i200000000000000000000000000
χ624-44-44-200-4-2242-4-2-2222i2−2i20000−i2−i2i2i20000-440000002i2−2i2−i2−i2i2i200000−2i22i2002-2i2i2−i2−i200000000000000000000000000
χ634-44-4-240024-4-2-42-2-222−2i22i20000−2i2−2i22i22i24-40000000000i2−i2i2i2−i2−i20-22−2i22i200000000000000000000000000i2−i200000000
χ644-44-4-240024-4-2-42-2-222−2i22i20000−2i2−2i22i22i2-440000000000i2−i2i2i2−i2−i202-22i2−2i200000000000000000000000000−i2i200000000
χ654-44-4-240024-4-2-42-2-2222i2−2i200002i22i2−2i2−2i24-40000000000−i2i2−i2−i2i2i20-222i2−2i200000000000000000000000000−i2i200000000
χ664-44-4-240024-4-2-42-2-2222i2−2i200002i22i2−2i2−2i2-440000000000−i2i2−i2−i2i2i202-2−2i22i200000000000000000000000000i2−i200000000
χ674-4-44444-4-4-4-4-4444-4-4400-4-444000000000000004-400000000000000000000000000000000000000000000000
χ684-4-4444-44-4-4-4-4444-4-440044-4-400000000000000-4400000000000000000000000000000000000000000000000
χ694-4-444-24-4-422-4-24-222-2002-4-2400000000000000-2200000000000000000−2i32i32i3−2i300000000000000000000000000
χ704-4-444-24-4-422-4-24-222-2002-4-2400000000000000-22000000000000000002i3−2i3−2i32i300000000000000000000000000
χ714-4-444-2-44-422-4-24-222-200-242-4−2i32i32i3−2i300000000002-200−2i32i32i3−2i300000000000000000000000000000000000000000
χ724-4-444-2-44-422-4-24-222-200-242-42i3−2i3−2i32i300000000002-2002i3−2i3−2i32i300000000000000000000000000000000000000000
χ734-4-44-244-42-4-424-2-222-200-424-200000000000000-2200000000000000000000000000000000000−2i32i30000000000
χ744-4-44-244-42-4-424-2-222-200-424-200000000000000-22000000000000000000000000000000000002i3−2i30000000000
χ754-4-44-24-442-4-424-2-222-2004-2-42000000000000−2i32i32-200000000000000000000000000−2i32i30000000000000000000
χ764-4-44-24-442-4-424-2-222-2004-2-420000000000002i3−2i32-2000000000000000000000000002i3−2i30000000000000000000
χ774-4-44-2-2-442222-2-21-1-1100-2-222−2i32i32i3−2i300000000−2i32i3-1100i3−i3−i3i3000000000000000003-30i3−i30000000000000000000
χ784-4-44-2-2-442222-2-21-1-1100-2-222−2i32i32i3−2i3000000002i3−2i3-1100i3−i3−i3i300000000000000000-330−i3i30000000000000000000
χ794-4-44-2-2-442222-2-21-1-1100-2-2222i3−2i3−2i32i300000000−2i32i3-1100−i3i3i3−i300000000000000000-330i3−i30000000000000000000
χ804-4-44-2-2-442222-2-21-1-1100-2-2222i3−2i3−2i32i3000000002i3−2i3-1100−i3i3i3−i3000000000000000003-30−i3i30000000000000000000
χ818888-4-4-8-8-4-4-4-4-4-4222200444400000000000000-2-200000000000000000000000000000000000000000000000
χ8288-8-8-4800-4-884-84-44-44000000000000000000000000000000000000000000000000000000000000000000000
χ8388-8-8-4-400-44-44442-22-200000026−2626−2600000000000000−66−6600000000000000000000000000000000000000000
χ8488-8-8-4-400-44-44442-22-2000000−2626−2626000000000000006−66−600000000000000000000000000000000000000000
χ858-88-8-4-4004-44-44422-2-2−4i24i200002i22i2−2i2−2i20000000000002i2−2i2−i2−i2i2i200000000000000000000000000000000000000000
χ868-88-8-4-4004-44-44422-2-24i2−4i20000−2i2−2i22i22i2000000000000−2i22i2i2i2−i2−i200000000000000000000000000000000000000000
χ878-8-88-4-48-84444-4-42-2-220044-4-4000000000000002-200000000000000000000000000000000000000000000000

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