Finite Group Databasebeta

← Group #11887416

Character table — Group #11887416

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444466668888888888888812121212121212121212121212121212121216161616161618181818242424242424242424242424242436367272
order122222334466666634666666612121212444424666612121212121212122224448888121212121212121266612121288882466666121212242424248844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1111-1-1-1-111111111111111-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111-1-1-1-11111-1-111111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-11-1-1111111-1-1
χ511111111111111111111111111111-1-1-1-111111111111111-111-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-11111-1-1-11111-1-1-1-1
χ611111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-11111-111-1-1-1-111-1-1
χ811111111111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-111
χ91111-1-111111111111-1-1-1-1-1111111111-1-11-111-1-1-1-1-1-111-1-1111-1-1-111-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-11111-1-1111-1
χ101111-1-111111111111-1-1-1-1-1111111111-1-11-111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-11111111-1-111-111-1-111-1-1-11
χ111111-1-111111111111-1-1-1-1-1111111111-1-1-11-1-1-1-1-1-11111-1-1111-111-1-11111-1-11111-1-1-11111111-1-1111-1-1-1-1-1-1-111-1-11-1
χ121111-1-111111111111-1-1-1-1-1111111111-1-1-11-1-1-1-1-1-11111-1-11-1-1-11111-1-111-1-11111-1-1-1111-1-1-1-11-11-1-111-1-1-111-1-111-11
χ131111-1-111111111111-1-1-1-1-11111111-1-1111-111-1-1-1-1-1-111-1-1-11111111-1-1-1-1111111111-1-1-11111-1-1-111-1-11-1-111-1-1-1-1-11
χ141111-1-111111111111-1-1-1-1-11111111-1-1111-111-1-1-1-1-1-111-1-1-1-1-1111-1-111-1-1111111111-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-111111-1
χ151111-1-111111111111-1-1-1-1-11111111-1-111-11-1-1-1-1-1-11111-1-1-1111-1-1-1-111-1-111-1-1-1-1-1-1-1111-1-1-1-1-11-111-1-1111-1-11111-11
χ161111-1-111111111111-1-1-1-1-11111111-1-111-11-1-1-1-1-1-11111-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1111111111-1-1-11111111-1-1-1-11-1
χ1722222222-2-22222222-22222222-2-2-2-22222000022-2-200-2-2-2-2-200-200000022220000000000000000-20000-20000000000
χ1822222222-2-22222222-22222222-2-2-2-2-2-2-2-2000022-2-200-2-2-2-22002000000-2-2-2-200000000000000002000020000000000
χ192222222-122-1-1-1222-1222-1-1-1-1-122-1-100002222-1-1-1222-1-1-1-1022000222200000000-1-1-1-1-1-10000200-1-1-1-1000-1-1-1-10000
χ202222222-122-1-1-1222-1222-1-1-1-1-122-1-100002222-1-1-1222-1-1-1-10-2-2000-2-2-2-200000000-1-1-1-1-1-10000-200111100011110000
χ212222222-122-1-1-1222-1222-1-1-1-1-122-1-10000-2-2-2-2-1-1-12-2-2-1-1-1-1022000-2-2-2-2000000001111110000200-1-1-1-100011110000
χ222222222-122-1-1-1222-1222-1-1-1-1-122-1-10000-2-2-2-2-1-1-12-2-2-1-1-1-10-2-20002222000000001111110000-2001111000-1-1-1-10000
χ23222222-1222222-1-1-1-12-1-122-1-1-1-1-122222222-1-1-1-12-1-1-1-1-1-1-12002220000-1-1-1-1-1-1-1-12-1-12-1-1000002-10000-1-1-100000000
χ24222222-1222222-1-1-1-12-1-122-1-1-1-1-1222222-2-211-1-12-111-1-1-1-12002-2-20000-1-1-1-11111-211-21100000-2-10000-11100000000
χ25222222-1222222-1-1-1-12-1-122-1-1-1-1-122-2-2-2-222-1-1-1-12-1-1-1-1-1-1-1-200-2-2-20000111111112-1-12-1-100000-21000011100000000
χ26222222-1222222-1-1-1-12-1-122-1-1-1-1-122-2-2-2-2-2-211-1-12-111-1-1-1-1-200-22200001111-1-1-1-1-211-211000002100001-1-100000000
χ27222222-12-2-2222-1-1-1-1-2-1-122-1-1-111-2-2222200−i3i3-1-1-21−i3i31111-200-2000000-1-1-1-1−i3−i3i3i30−i3i30−i3i3000000100001−i3i300000000
χ28222222-12-2-2222-1-1-1-1-2-1-122-1-1-111-2-2222200i3−i3-1-1-21i3−i31111-200-2000000-1-1-1-1i3i3−i3−i30i3−i30i3−i3000000100001i3−i300000000
χ29222222-12-2-2222-1-1-1-1-2-1-122-1-1-111-2-2-2-2-2-200−i3i3-1-1-21−i3i3111120020000001111i3i3−i3−i30−i3i30−i3i3000000-10000-1i3−i300000000
χ30222222-12-2-2222-1-1-1-1-2-1-122-1-1-111-2-2-2-2-2-200i3−i3-1-1-21i3−i3111120020000001111−i3−i3i3i30i3−i30i3−i3000000-10000-1−i3i300000000
χ312222-2-222-2-222222222-2-2-2-2222-2-2-2-222-2-20000-2-22200-2-222-200200000022-2-20000000000000000-2000020000000000
χ322222-2-222-2-222222222-2-2-2-2222-2-2-2-2-2-2220000-2-22200-2-222200-2000000-2-222000000000000000020000-20000000000
χ332222-2-22-122-1-1-1222-1-2-2-211-1-1-122-1-100002-222111-2-2-2-1-11102200022-2-200000000-1-1-11110000-200-1-111000-1-1110000
χ342222-2-22-122-1-1-1222-1-2-2-211-1-1-122-1-100002-222111-2-2-2-1-1110-2-2000-2-22200000000-1-1-1111000020011-1-100011-1-10000
χ352222-2-22-122-1-1-1222-1-2-2-211-1-1-122-1-10000-22-2-2111-222-1-111022000-2-22200000000111-1-1-10000-200-1-11100011-1-10000
χ362222-2-22-122-1-1-1222-1-2-2-211-1-1-122-1-10000-22-2-2111-222-1-1110-2-200022-2-200000000111-1-1-1000020011-1-1000-1-1110000
χ372222-2-2-1222222-1-1-1-1-211-2-2-1-1-1-1-12222-2-22-2-1-111-2111-1-111200-2-2-20000-1-11111112-1-1-211000002-100001-1-100000000
χ382222-2-2-1222222-1-1-1-1-211-2-2-1-1-1-1-12222-2-2-221111-21-1-1-1-111200-2220000-1-111-1-1-1-1-2112-1-100000-2-1000011100000000
χ392222-2-2-1222222-1-1-1-1-211-2-2-1-1-1-1-122-2-2222-2-1-111-2111-1-111-200222000011-1-1-1-1-1-12-1-1-21100000-210000-11100000000
χ402222-2-2-1222222-1-1-1-1-211-2-2-1-1-1-1-122-2-222-221111-21-1-1-1-111-2002-2-2000011-1-11111-2112-1-100000210000-1-1-100000000
χ412222-2-2-12-2-2222-1-1-1-1211-2-2-1-1-111-2-222-2-200−i3i3112-1i3−i311-1-1-2002000000-1-111i3i3−i3−i30−i3i30i3−i300000010000-1−i3i300000000
χ422222-2-2-12-2-2222-1-1-1-1211-2-2-1-1-111-2-222-2-200i3−i3112-1−i3i311-1-1-2002000000-1-111−i3−i3i3i30i3−i30−i3i300000010000-1i3−i300000000
χ432222-2-2-12-2-2222-1-1-1-1211-2-2-1-1-111-2-2-2-22200−i3i3112-1i3−i311-1-1200-200000011-1-1−i3−i3i3i30−i3i30i3−i3000000-100001i3−i300000000
χ442222-2-2-12-2-2222-1-1-1-1211-2-2-1-1-111-2-2-2-22200i3−i3112-1−i3i311-1-1200-200000011-1-1i3i3−i3−i30i3−i30−i3i3000000-100001−i3i300000000
χ4522-2-22-22200-22-22-2-2202-22-2-22-200002i−2i2i−2i00002-2000000000000002−22−22i−2i2i−2i0000000000−i2−i2i2i200000000002−22−2−i2i200
χ4622-2-22-22200-22-22-2-2202-22-2-22-200002i−2i2i−2i00002-200000000000000−22−222i−2i2i−2i0000000000i2i2−i2−i20000000000−22−22i2−i200
χ4722-2-22-22200-22-22-2-2202-22-2-22-20000−2i2i−2i2i00002-2000000000000002−22−2−2i2i−2i2i0000000000i2i2−i2−i200000000002−22−2i2−i200
χ4822-2-22-22200-22-22-2-2202-22-2-22-20000−2i2i−2i2i00002-200000000000000−22−22−2i2i−2i2i0000000000−i2−i2i2i20000000000−22−22−i2i200
χ4922-2-2-222200-22-22-2-220-22-22-22-200002i−2i−2i2i0000-22000000000000002−2−222i−2i−2i2i0000000000i2i2−i2−i200000000002−2−22−i2i200
χ5022-2-2-222200-22-22-2-220-22-22-22-200002i−2i−2i2i0000-2200000000000000−222−22i−2i−2i2i0000000000−i2−i2i2i20000000000−222−2i2−i200
χ5122-2-2-222200-22-22-2-220-22-22-22-20000−2i2i2i−2i0000-22000000000000002−2−22−2i2i2i−2i0000000000−i2−i2i2i200000000002−2−22i2−i200
χ5222-2-2-222200-22-22-2-220-22-22-22-20000−2i2i2i−2i0000-2200000000000000−222−2−2i2i2i−2i0000000000i2i2−i2−i20000000000−222−2−i2i200
χ532-22-200222-2-2-22-22-2200000-2-222-22-2000000000000002-20002-202i−2i000000002i−2i2i−2i0000002i−2i2i−2i0002-20000000000000
χ542-22-200222-2-2-22-22-2200000-2-222-22-2000000000000002-20002-20−2i2i00000000−2i2i−2i2i000000−2i2i−2i2i0002-20000000000000
χ552-22-200222-2-2-22-22-2200000-2-222-22-2000000000000002-2000-2202i−2i000000002i−2i2i−2i000000−2i2i−2i2i000-220000000000000
χ562-22-200222-2-2-22-22-2200000-2-222-22-2000000000000002-2000-220−2i2i00000000−2i2i−2i2i0000002i−2i2i−2i000-220000000000000
χ574444444-2-4-4-2-2-2444-2-444-2-2-2-2-2-4-42200000000-2-22-40022220000000000000000000000000000000000000000000000
χ58444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2000044-2-211-2-2-2-21111000000000000000000-211-2110000000000000000000000
χ59444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-20000-4-42211-2-22211110000000000000000002-1-12-1-10000000000000000000000
χ60444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-21112222000000−2i32i31122−2i32i3-1-1-1-10000000000000000000i3−i30i3−i30000000000000000000000
χ61444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-211122220000002i3−2i311222i3−2i3-1-1-1-10000000000000000000−i3i30−i3i30000000000000000000000
χ624444-4-44-2-4-4-2-2-2444-24-4-422-2-2-2-4-4220000000022-240022-2-20000000000000000000000000000000000000000000000
χ634444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-2-200004-4-2-2-1-1222211-1-1000000000000000000-2112-1-10000000000000000000000
χ644444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-2-20000-4422-1-122-2-211-1-10000000000000000002-1-1-2110000000000000000000000
χ654444-4-4-2-2-4-4-2-2-2-2-2-21422221112222000000−2i32i3-1-1-2-22i3−2i3-1-1110000000000000000000i3−i30−i3i30000000000000000000000
χ664444-4-4-2-2-4-4-2-2-2-2-2-214222211122220000002i3−2i3-1-1-2-2−2i32i3-1-1110000000000000000000−i3i30i3−i30000000000000000000000
χ6744-4-44-44-2002-224-4-4-204-4-222-22000000000000-220000000000000022−2222−220000000000000000000000000000−22−220000
χ6844-4-44-44-2002-224-4-4-204-4-222-22000000000000-2200000000000000−2222−222200000000000000000000000000002−22−20000
χ6944-4-44-4-2400-44-4-222-20-224-42-2200004i−4i4i−4i0000-22000000000000000000−2i2i−2i2i00000000000000000000000000000000
χ7044-4-44-4-2400-44-4-222-20-224-42-220000−4i4i−4i4i0000-220000000000000000002i−2i2i−2i00000000000000000000000000000000
χ7144-4-4-444-2002-224-4-4-20-442-22-220000000000002-20000000000000022−22−22220000000000000000000000000000−222−20000
χ7244-4-4-444-2002-224-4-4-20-442-22-220000000000002-200000000000000−222222−2200000000000000000000000000002−2−220000
χ7344-4-4-44-2400-44-4-222-202-2-442-2200004i−4i−4i4i00002-2000000000000000000−2i2i2i−2i00000000000000000000000000000000
χ7444-4-4-44-2400-44-4-222-202-2-442-220000−4i4i4i−4i00002-20000000000000000002i−2i−2i2i00000000000000000000000000000000
χ754-44-40044-44-4-44-44-4400000-4-44-44-4400000000000000-44000000000000000000000000000000000000000000000000
χ764-44-4004-24-422-2-44-4-20000022-24-4-2200000000000000-220004-40000000000000000000000000000-220000000000000
χ774-44-4004-24-422-2-44-4-20000022-24-4-2200000000000000-22000-4400000000000000000000000000002-20000000000000
χ784-44-4004-2-4422-2-44-4-20000022-2-442-2000000000000002-200000000000000000000000000000000000−2i32i300000000000
χ794-44-4004-2-4422-2-44-4-20000022-2-442-2000000000000002-2000000000000000000000000000000000002i3−2i300000000000
χ804-44-400-244-4-4-442-22-20000022-2-224-400000000000000-220000004i−4i00000000−2i2i−2i2i0000000000000000000000000000
χ814-44-400-244-4-4-442-22-20000022-2-224-400000000000000-22000000−4i4i000000002i−2i2i−2i0000000000000000000000000000
χ824-44-400-24-44-4-442-22-20000022-22-2-44000000000000002-2000000000000000023−23−23230000000000000000000000000000
χ834-44-400-24-44-4-442-22-20000022-22-2-44000000000000002-20000000000000000−232323−230000000000000000000000000000
χ844-4-440044004-4-4-4-444000004-4-4000000000000000000000000000000000000000000000022−22−2222000000000000000000
χ854-4-440044004-4-4-4-444000004-4-40000000000000000000000000000000000000000000000−222222−22000000000000000000
χ8688-8-88-8-4-4004-44-44420-44-44-22-20000000000002-2000000000000000000000000000000000000000000000000000000
χ8788-8-8-88-4-4004-44-444204-44-4-22-2000000000000-22000000000000000000000000000000000000000000000000000000
χ888-88-800-4-48-844-44-44200000-2-22-44-44000000000000002-2000000000000000000000000000000000000000000000000
χ898-88-800-4-4-8844-44-44200000-2-224-44-400000000000000-22000000000000000000000000000000000000000000000000
χ908-8-88008-400-444-8-88-400000-44400000000000000000000000000000000000000000000000000000000000000000000
χ918-8-8800-48008-8-844-4-400000-44400000000000000000000000000000000000000000000000000000000000000000000
χ928-8-8800-4-400-44444-42000002-2-2000000000000000000006i−6i0000000000000000000000000000000000000000000000
χ938-8-8800-4-400-44444-42000002-2-200000000000000000000−6i6i0000000000000000000000000000000000000000000000

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