Finite Group Databasebeta

← Group #11886540

Character table — Group #11886540

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222224444444444444446666666688888888888881212121212121212121212121212121212121212121216161616161624242424242424363636363636484872
order12223344446666663466612121212121212121212444488882266661212121212121222448812121212121212122424242424242424666666224661212448888664
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1111111111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111111111111111-1-111111111-1-1-1-1-1-1-1-1111111-1-111111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1111
χ51111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-11111111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-11
χ71111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111111-1-11
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1111111-1
χ9111111-1-1111111111-1111-1-1-1-1-1-1111111-1-111111-111-1-1-111-1-1-1-11-111-1-111-1-111111111-1-1-1-11-111-1-11-1-11-1-1-11111-1-11-1-1
χ10111111-1-1111111111-1111-1-1-1-1-1-1111111-1-11111-11-1-111-111-1-1-1-11-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-111-1111-111-1-111-1-1-111
χ11111111-1-1111111111-1111-1-1-1-1-1-1111111-1-1-1-1-1-11-111-1-1-111-1-1-1-11-1111111-1-11111-1-1-1-111111-111-1-1-11-11-1-1-1-1-1-1-111-111
χ12111111-1-1111111111-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-111-111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1111-111-11111-1-1111-1-1
χ13111111-1-1111111111-1111-1-1-1-1-1-11111-1-11111111-111-1-1-111-1-1-1-1-11-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-11-11-1111-1-1-1-1111-11
χ14111111-1-1111111111-1111-1-1-1-1-1-11111-1-1111111-11-1-111-111-1-1-1-1-1111-1-1-1-11111111111-1-1-1-1-11-1-111-11-1-11-1-111-1-111-11-1
χ15111111-1-1111111111-1111-1-1-1-1-1-11111-1-111-1-1-1-11-111-1-1-111-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-111111-111-1-1-111-11111111-1-1-11-1
χ16111111-1-1111111111-1111-1-1-1-1-1-11111-1-111-1-1-1-1-11-1-111-111-1-1-1-1-111111-1-1111111-1-1-1-11111-11-1-1111-1-1-11-1-1-1-111-1-11-11
χ1722222222-2-22222222-22222222-2-2-2-2-2-222220000000000-2-2-222-2-2-2-200002222000000000000000000000-2-200000000000
χ1822222222-2-22222222-22222222-2-2-2-2-2-2-2-2-2-20000000000-2-2-222-2-2220000-2-2-2-20000000000000000000002200000000000
χ19222222-2-2-2-222222222222-2-2-2-222-2-2-2-222-2-200000000002-2-2-2-222-22000022-2-2000000000000000000000-2200000000000
χ20222222-2-2-2-222222222222-2-2-2-222-2-2-2-2-2-22200000000002-2-2-2-2222-20000-2-2220000000000000000000002-200000000000
χ2122222-122222-1-1-122-12-1-1-122-1-1-1-122-1-1000022222222222-1-1-1-1-1-100002200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-12200000000000-1-10
χ2222222-122222-1-1-122-12-1-1-122-1-1-1-122-1-100002222-2-2-2-2-2-22-1-1-1-1-1-100002200000000-1-1-1-1-1-1-1-1111111-2-200000000000110
χ2322222-122222-1-1-122-12-1-1-122-1-1-1-122-1-10000-2-2-2-22222222-1-1-1-1-1-10000-2-20000000011111111-1-1-1-1-1-1-2-200000000000110
χ2422222-122222-1-1-122-12-1-1-122-1-1-1-122-1-10000-2-2-2-2-2-2-2-2-2-22-1-1-1-1-1-10000-2-200000000111111111111112200000000000-1-10
χ2522222-1-2-2222-1-1-122-1-2-1-1-1-2-2111122-1-1000022222-222-2-2-2-1-111110000-2-200000000-1-1-1-11111-11-1-1112-200000000000-110
χ2622222-1-2-2222-1-1-122-1-2-1-1-1-2-2111122-1-100002222-22-2-222-2-1-111110000-2-200000000-1-1-1-111111-111-1-1-22000000000001-10
χ2722222-1-2-2222-1-1-122-1-2-1-1-1-2-2111122-1-10000-2-2-2-22-222-2-2-2-1-11111000022000000001111-1-1-1-1-11-1-111-22000000000001-10
χ2822222-1-2-2222-1-1-122-1-2-1-1-1-2-2111122-1-10000-2-2-2-2-22-2-222-2-1-11111000022000000001111-1-1-1-11-111-1-12-200000000000-110
χ292222-122222-1222-1-1-12-1-1-1-1-12222-1-1222222000022-1-1-1-1-1-1-1-1-1-1-1222200-1-1-1-1-1-1-1-10000000022-1-1-1-1002-1-1-1-1000000000
χ302222-122222-1222-1-1-12-1-1-1-1-12222-1-12222220000-2-21111-1-1-1-1-1-1-122-2-200-1-1-1-1111100000000-2-2111100-2-1-111000000000
χ312222-122222-1222-1-1-12-1-1-1-1-12222-1-122-2-2-2-2000022-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200111111110000000022-1-1-1-100-21111000000000
χ322222-122222-1222-1-1-12-1-1-1-1-12222-1-122-2-2-2-20000-2-21111-1-1-1-1-1-1-1-2-222001111-1-1-1-100000000-2-2111100211-1-1000000000
χ332222-1222-2-2-1222-1-1-1-2-1-1-1-1-122-2-211-2-22222000000−i3i3−i3i3111-1-111-2-20000-1-1-1-1−i3−i3i3i30000000000−i3i3−i3i300011−i3i3000000000
χ342222-1222-2-2-1222-1-1-1-2-1-1-1-1-122-2-211-2-22222000000i3−i3i3−i3111-1-111-2-20000-1-1-1-1i3i3−i3−i30000000000i3−i3i3−i300011i3−i3000000000
χ352222-1222-2-2-1222-1-1-1-2-1-1-1-1-122-2-211-2-2-2-2-2-2000000−i3i3−i3i3111-1-1112200001111i3i3−i3−i30000000000−i3i3−i3i3000-1-1i3−i3000000000
χ362222-1222-2-2-1222-1-1-1-2-1-1-1-1-122-2-211-2-2-2-2-2-2000000i3−i3i3−i3111-1-1112200001111−i3−i3i3i30000000000i3−i3i3−i3000-1-1−i3i3000000000
χ372222-12-2-222-1222-1-1-1-2-1-1-111-2-2-2-2-1-12222-2-200002-2-1-1111-1-111112-22200-1-111-1-1-1-1000000002-2-1-11100-2-1111000000000
χ382222-12-2-222-1222-1-1-1-2-1-1-111-2-2-2-2-1-12222-2-20000-2211-1-11-1-111112-2-2-200-1-111111100000000-2211-1-1002-11-1-1000000000
χ392222-12-2-222-1222-1-1-1-2-1-1-111-2-2-2-2-1-122-2-22200002-2-1-1111-1-11111-22-2-20011-1-11111000000002-2-1-1110021-1-1-1000000000
χ402222-12-2-222-1222-1-1-1-2-1-1-111-2-2-2-2-1-122-2-2220000-2211-1-11-1-11111-22220011-1-1-1-1-1-100000000-2211-1-100-21-111000000000
χ412222-12-2-2-2-2-1222-1-1-12-1-1-111-2-22211-2-222-2-2000000−i3i3i3−i3-11111-1-1-220000-1-111−i3−i3i3i30000000000−i3i3i3−i30001-1i3−i3000000000
χ422222-12-2-2-2-2-1222-1-1-12-1-1-111-2-22211-2-222-2-2000000i3−i3−i3i3-11111-1-1-220000-1-111i3i3−i3−i30000000000i3−i3−i3i30001-1−i3i3000000000
χ432222-12-2-2-2-2-1222-1-1-12-1-1-111-2-22211-2-2-2-222000000−i3i3i3−i3-11111-1-12-2000011-1-1i3i3−i3−i30000000000−i3i3i3−i3000-11−i3i3000000000
χ442222-12-2-2-2-2-1222-1-1-12-1-1-111-2-22211-2-2-2-222000000i3−i3−i3i3-11111-1-12-2000011-1-1−i3−i3i3i30000000000i3−i3−i3i3000-11i3−i3000000000
χ4522-2-2222-20022-2-2-2-2202-2-22-22-20000002i−2i2i−2i22−2−20000000002-20000002−22i−2i2i−2i000022−2−222−2−2000000000000000−i2i2−i2i2000
χ4622-2-2222-20022-2-2-2-2202-2-22-22-20000002i−2i2i−2i−2−2220000000002-2000000−222i−2i2i−2i0000−2−222−2−222000000000000000i2−i2i2−i2000
χ4722-2-2222-20022-2-2-2-2202-2-22-22-2000000−2i2i−2i2i22−2−20000000002-20000002−2−2i2i−2i2i000022−2−222−2−2000000000000000i2−i2i2−i2000
χ4822-2-2222-20022-2-2-2-2202-2-22-22-2000000−2i2i−2i2i−2−2220000000002-2000000−22−2i2i−2i2i0000−2−222−2−222000000000000000−i2i2−i2i2000
χ4922-2-222-220022-2-2-2-2202-2-2-22-220000002i−2i−2i2i22−2−2000000000-22000000−222i−2i−2i2i000022−2−2−2−222000000000000000−i2i2i2−i2000
χ5022-2-222-220022-2-2-2-2202-2-2-22-220000002i−2i−2i2i−2−222000000000-220000002−22i−2i−2i2i0000−2−22222−2−2000000000000000i2−i2−i2i2000
χ5122-2-222-220022-2-2-2-2202-2-2-22-22000000−2i2i2i−2i22−2−2000000000-22000000−22−2i2i2i−2i000022−2−2−2−222000000000000000i2−i2−i2i2000
χ5222-2-222-220022-2-2-2-2202-2-2-22-22000000−2i2i2i−2i−2−222000000000-220000002−2−2i2i2i−2i0000−2−22222−2−2000000000000000−i2i2i2−i2000
χ532-2-222200-22-2-22-2-2220-22-20000002-22-200002-22-200000002-20000002-20000002-22-22-22-2000000000000000002-20000000
χ542-2-222200-22-2-22-2-2220-22-20000002-22-200002-22-200000002-2000000-22000000-22-222-22-200000000000000000-220000000
χ552-2-222200-22-2-22-2-2220-22-20000002-22-20000-22-2200000002-20000002-20000002-22-2-22-2200000000000000000-220000000
χ562-2-222200-22-2-22-2-2220-22-20000002-22-20000-22-2200000002-2000000-22000000-22-22-22-22000000000000000002-20000000
χ5744444-244-4-44-2-2-244-2-4-2-2-244-2-222-4-42200000000000000-422-2-22200000000000000000000000000000000000000000000
χ5844444-2-4-4-4-44-2-2-244-24-2-2-2-4-422-2-2-4-4220000000000000042222-2-200000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-20000000044-2-2-2-2-21111110000000000000000000000-2-211110000000000000000
χ604444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-200000000-4-42222-2111111000000000000000000000022-1-1-1-10000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-4111-2-2-2-22222220000000000−2i32i3−2i32i32-1-111-1-1000000000000000000000000i3−i3i3−i30000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-4111-2-2-2-222222200000000002i3−2i32i3−2i32-1-111-1-1000000000000000000000000−i3i3−i3i30000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-4111222222-2-2-2-2000000004-4-2-222211-1-1-1-10000000000000000000000-2211-1-10000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-4111222222-2-2-2-200000000-4422-2-2211-1-1-1-100000000000000000000002-2-1-1110000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-2141112222-2-222220000000000−2i32i32i3−2i3-2-1-1-1-111000000000000000000000000i3−i3−i3i30000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-2141112222-2-2222200000000002i3−2i3−2i32i3-2-1-1-1-111000000000000000000000000−i3i3i3−i30000000000000000
χ6744-4-44-24-4004-222-4-4-20-2224-4-2200000000002222−22−22000000000-2200000022−2200000000−2−222−2−2220000000000000000000000
χ6844-4-44-24-4004-222-4-4-20-2224-4-220000000000−22−222222000000000-22000000−22220000000022−2−222−2−20000000000000000000000
χ6944-4-44-2-44004-222-4-4-20-222-442-200000000002222−22−220000000002-2000000−222200000000−2−22222−2−20000000000000000000000
χ7044-4-44-2-44004-222-4-4-20-222-442-20000000000−22−2222220000000002-200000022−220000000022−2−2−2−2220000000000000000000000
χ7144-4-4-244-400-24-4-422-20-222-224-40000004i−4i4i−4i0000000000000-2200000000−2i2i−2i2i0000000000000000000000000000000000
χ7244-4-4-244-400-24-4-422-20-222-224-4000000−4i4i−4i4i0000000000000-22000000002i−2i2i−2i0000000000000000000000000000000000
χ7344-4-4-24-4400-24-4-422-20-2222-2-440000004i−4i−4i4i00000000000002-200000000−2i2i2i−2i0000000000000000000000000000000000
χ7444-4-4-24-4400-24-4-422-20-2222-2-44000000−4i4i4i−4i00000000000002-2000000002i−2i−2i2i0000000000000000000000000000000000
χ754-44-4440000-4-4-444-440-4-440000000000000022−22−222200000000000000000000000000022−22−222200000000000000000000000000
χ764-44-4440000-4-4-444-440-4-4400000000000000−222222−22000000000000000000000000000−222222−2200000000000000000000000000
χ774-44-44-20000-422-24-4-2022-20000−2i32i30000000022−22−222200000000000−2i32i300000000000000−222−2i6−i6i6−i60000000000000000000000
χ784-44-44-20000-422-24-4-2022-20000−2i32i300000000−222222−2200000000000−2i32i3000000000000002−2−22−i6i6−i6i60000000000000000000000
χ794-44-44-20000-422-24-4-2022-200002i3−2i30000000022−22−2222000000000002i3−2i300000000000000−222−2−i6i6−i6i60000000000000000000000
χ804-44-44-20000-422-24-4-2022-200002i3−2i300000000−222222−22000000000002i3−2i3000000000000002−2−22i6−i6i6−i60000000000000000000000
χ814-4-4444004-4-4-44-4-4440-44-4000000-44-44000000000000000-44000000000000000000000000000000000000000000000000
χ824-4-444-2004-4-42-22-44-202-22000000-442-20000000000000002-20000000000000000000000−2i32i32i3−2i30000000000000000000000
χ834-4-444-2004-4-42-22-44-202-22000000-442-20000000000000002-200000000000000000000002i3−2i3−2i32i30000000000000000000000
χ844-4-444-200-44-42-22-44-202-220000004-4-2200004-44-40000000-22000000000000000000-22-2200000000000000000000000000
χ854-4-444-200-44-42-22-44-202-220000004-4-220000-44-440000000-220000000000000000002-22-200000000000000000000000000
χ864-4-44-24004-42-44-42-2-202-220000002-2-440000000000000002-200000000000000−2i32i32i3−2i3000000000000000000000000000000
χ874-4-44-24004-42-44-42-2-202-220000002-2-440000000000000002-2000000000000002i3−2i3−2i32i3000000000000000000000000000000
χ884-4-44-2400-442-44-42-2-202-22000000-224-4000000000000000-220000004-4000000-22-22000000000000000000000000000000
χ894-4-44-2400-442-44-42-2-202-22000000-224-4000000000000000-22000000-440000002-22-2000000000000000000000000000000
χ9088-8-8-4-48-800-4-44444202-2-2-44-44000000000000000000000002-20000000000000000000000000000000000000000000000
χ9188-8-8-4-4-8800-4-44444202-2-24-44-400000000000000000000000-220000000000000000000000000000000000000000000000
χ928-88-8-4800004-8-88-44-4044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-40000444-4-4420-2-220000−4i34i3000000000000000000000002i3−2i300000000000000000000000000000000000000000000
χ948-88-8-4-40000444-4-4420-2-2200004i3−4i300000000000000000000000−2i32i300000000000000000000000000000000000000000000
χ958-8-88-4-4008-844-444-420-22-20000004-44-4000000000000000-22000000000000000000000000000000000000000000000000
χ968-8-88-4-400-8844-444-420-22-2000000-44-440000000000000002-2000000000000000000000000000000000000000000000000

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