Finite Group Databasebeta

← Group #10833333

Character table — Group #10833333

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444444444444444444444488888888888888888888888888888881212242424242424242424484848
order12222234444666222244446666668812121212121212122424242422244466666666888121212121212121224242424242488444444888488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111111111-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1
χ41111111111111111111111111111-1-111111111-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111
χ51111111111111111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111111111-1-1111-1-1-1-11
χ61111111111111111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-11111-1
χ71111111111111111-1-111-1-1111111-1-111111111-1-1-1-1111-1-11-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-1-111-1
χ81111111111111111-1-111-1-1111111-1-111111111-1-1-1-1111-1-11-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-111-1-11
χ911111111111111-1-111-1-11111-1-1-1-111111-1-1-1-1111111-1-1-1-111111-1-1-1-11-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111-11-1
χ1011111111111111-1-111-1-11111-1-1-1-111111-1-1-1-1111111-1-1-1-111111-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-11-11
χ1111111111111111-1-111-1-11111-1-1-1-1-1-1111-1-1-1-11-1-1-1-1-111-1-1-111-1-11111-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-11
χ1211111111111111-1-111-1-11111-1-1-1-1-1-1111-1-1-1-11-1-1-1-1-111-1-1-111-1-11111-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11-1
χ1311111111111111-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-111111-11111-1-1-1-1-111111-1-1-1-11111-1-111-1-1-1-111-1-111111-1-11-1-1
χ1411111111111111-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-111111-11111-1-1-1-1-111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-111-111
χ1511111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-11-1-1-1-11-1-1111-1-111-1-1-1-1-111-1-1111111-1-1111111-1-111-1-11-1-1-111
χ1611111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-11-1-1-1-11-1-1111-1-111-1-1-1-1-111-1-1111111-1-11111-1-111-1-111-1111-1-1
χ17222222-12222-1-1-122222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ18222222-12222-1-1-122222222-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-11111-2-2-222-2-1-1111111-2-2-2-1-1-1-1-1-11111111100000000000000
χ19222222-12222-1-1-122-2-222-2-2-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111122211111111-1-1-1-1-1-100000000000000
χ20222222-12222-1-1-122-2-222-2-2-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-11111222-2-2211-1-1-1-1-1-1-2-2-2111111-1-111111100000000000000
χ21222222-12222-1-1-1-2-222-2-222-1-1111122-1-1-11111-1-1-1-1-12-2-2-2-22-1-1-1-111112-2-2-1-11111-1-1-1-1111100000000000000
χ22222222-12222-1-1-1-2-222-2-222-1-11111-2-2-1-1-11111-11111-222-2-2-2-1-111-1-1-1-1-222-1-111111111-1-1-1-100000000000000
χ23222222-12222-1-1-1-2-2-2-2-2-2-2-2-1-1111122-1-1-11111-1-1-1-1-1-22222-21111-1-1-1-12-2-211-1-1-1-111-1-1111100000000000000
χ24222222-12222-1-1-1-2-2-2-2-2-2-2-2-1-11111-2-2-1-1-11111-111112-2-222211-1-11111-22211-1-1-1-1-1-111-1-1-1-100000000000000
χ252222-2-222-22-2222002200-2-2-2-20000222-2-2000022222-20000222-2-20000-200-2-2000022-2-2000000000000000000
χ262222-2-222-22-2222002200-2-2-2-20000-2-22-2-200002-2-2-2-220000-222220000200-2-20000-2-222000000000000000000
χ272222-2-222-22-222200-2-20022-2-20000222-2-200002222220000-2-2-2220000-200220000-2-2-2-2000000000000000000
χ282222-2-222-22-222200-2-20022-2-20000-2-22-2-200002-2-2-2-2-200002-2-2-2-200002002200002222000000000000000000
χ292222-2-22-22-222222200-2-200-2-2222200-222-2-2-2-2-200000000000000000000000000000000000222-20000-200000
χ302222-2-22-22-222222200-2-200-2-2222200-222-2-2-2-2-200000000000000000000000000000000000-2-2-220000200000
χ312222-2-22-22-22222-2-2002200-2-2-2-2-2-200-2222222-20000000000000000000000000000000000022-220000-200000
χ322222-2-22-22-22222-2-2002200-2-2-2-2-2-200-2222222-200000000000000000000000000000000000-2-22-20000200000
χ332222-2-2-12-22-2-1-1-1002200-2-211−i3−i3i3i322-111−i3−i3i3i3-1-1-1-1-1-200002-1-111−i3−i3i3i3-20011−i3−i3i3i3-1-111−i3−i3i3i300000000000000
χ342222-2-2-12-22-2-1-1-1002200-2-211−i3−i3i3i3-2-2-111−i3−i3i3i3-1111120000-2-1-1-1-1i3i3−i3−i320011−i3−i3i3i311-1-1i3i3−i3−i300000000000000
χ352222-2-2-12-22-2-1-1-1002200-2-211i3i3−i3−i322-111i3i3−i3−i3-1-1-1-1-1-200002-1-111i3i3−i3−i3-20011i3i3−i3−i3-1-111i3i3−i3−i300000000000000
χ362222-2-2-12-22-2-1-1-1002200-2-211i3i3−i3−i3-2-2-111i3i3−i3−i3-1111120000-2-1-1-1-1−i3−i3i3i320011i3i3−i3−i311-1-1−i3−i3i3i300000000000000
χ372222-2-2-12-22-2-1-1-100-2-2002211−i3−i3i3i322-111−i3−i3i3i3-1-1-1-1-120000-211-1-1i3i3−i3−i3-200-1-1i3i3−i3−i31111−i3−i3i3i300000000000000
χ382222-2-2-12-22-2-1-1-100-2-2002211−i3−i3i3i3-2-2-111−i3−i3i3i3-11111-2000021111−i3−i3i3i3200-1-1i3i3−i3−i3-1-1-1-1i3i3−i3−i300000000000000
χ392222-2-2-12-22-2-1-1-100-2-2002211i3i3−i3−i322-111i3i3−i3−i3-1-1-1-1-120000-211-1-1−i3−i3i3i3-200-1-1−i3−i3i3i31111i3i3−i3−i300000000000000
χ402222-2-2-12-22-2-1-1-100-2-2002211i3i3−i3−i3-2-2-111i3i3−i3−i3-11111-2000021111i3i3−i3−i3200-1-1−i3−i3i3i3-1-1-1-1−i3−i3i3i300000000000000
χ412-2-222-2222-2-2-2-222-2002-2002-22-22-20022-22-22-2-20000000000000000000000000000000000000002i−2i0002i−2i000
χ422-2-222-2222-2-2-2-222-2002-2002-22-22-20022-22-22-2-2000000000000000000000000000000000000000−2i2i000−2i2i000
χ432-2-222-2222-2-2-2-22-2200-22002-2-22-220022-2-22-22-20000000000000000000000000000000000000002i−2i000−2i2i000
χ442-2-222-2222-2-2-2-22-2200-22002-2-22-220022-2-22-22-2000000000000000000000000000000000000000−2i2i0002i−2i000
χ452-2-222-22-2-222-2-22002-2002-22-2000000-2-2200002000002-20002-2002-22-202-22-2000000002-22-200000000000000
χ462-2-222-22-2-222-2-22002-2002-22-2000000-2-220000200000-220002-200-22-220-222-200000000-22-2200000000000000
χ472-2-222-22-2-222-2-2200-2200-222-2000000-2-2200002000002-2000-22002-22-20-22-2200000000-22-2200000000000000
χ482-2-222-22-2-222-2-2200-2200-222-2000000-2-220000200000-22000-2200-22-2202-2-22000000002-22-200000000000000
χ492-2-222-2-1-2-22211-1002-2002-2-11−i3i3i3−i30011-1i3−i3−i3i3-1−i3−i3i3i302-2000-11−i3i3-11-1102-2-11−i3i3−i3i3−i3i3−i3i3-11-1100000000000000
χ502-2-222-2-1-2-22211-1002-2002-2-11−i3i3i3−i30011-1i3−i3−i3i3-1i3i3−i3−i30-22000-11i3−i31-11-10-22-11−i3i3−i3i3i3−i3i3−i31-11-100000000000000
χ512-2-222-2-1-2-22211-1002-2002-2-11i3−i3−i3i30011-1−i3i3i3−i3-1−i3−i3i3i30-22000-11−i3i31-11-10-22-11i3−i3i3−i3−i3i3−i3i31-11-100000000000000
χ522-2-222-2-1-2-22211-1002-2002-2-11i3−i3−i3i30011-1−i3i3i3−i3-1i3i3−i3−i302-2000-11i3−i3-11-1102-2-11i3−i3i3−i3i3−i3i3−i3-11-1100000000000000
χ532-2-222-2-1-2-22211-100-2200-22-11−i3i3i3−i30011-1i3−i3−i3i3-1−i3−i3i3i30-220001-1i3−i31-11-102-21-1i3−i3i3−i3i3−i3−i3i3-11-1100000000000000
χ542-2-222-2-1-2-22211-100-2200-22-11−i3i3i3−i30011-1i3−i3−i3i3-1i3i3−i3−i302-20001-1−i3i3-11-110-221-1i3−i3i3−i3−i3i3i3−i31-11-100000000000000
χ552-2-222-2-1-2-22211-100-2200-22-11i3−i3−i3i30011-1−i3i3i3−i3-1−i3−i3i3i302-20001-1i3−i3-11-110-221-1−i3i3−i3i3i3−i3−i3i31-11-100000000000000
χ562-2-222-2-1-2-22211-100-2200-22-11i3−i3−i3i30011-1−i3i3i3−i3-1i3i3−i3−i30-220001-1−i3i31-11-102-21-1−i3i3−i3i3−i3i3i3−i3-11-1100000000000000
χ572-2-22-222-222-2-2-222-22-2-22-22-222-22-200-22-2-22-22200000002-202-2000000000-222-2-220000000000000000000000
χ582-2-22-222-222-2-2-222-2-22-222-2-222-22-200-22-2-22-2220000000-220-220000000002-2-222-20000000000000000000000
χ592-2-22-222-222-2-2-22-222-22-2-22-22-22-2200-22-22-22-220000000-2202-2000000000-22-222-20000000000000000000000
χ602-2-22-222-222-2-2-22-22-222-22-2-22-22-2200-22-22-22-2200000002-20-220000000002-22-2-220000000000000000000000
χ612-2-22-22-1-222-211-12-22-2-22-221-1-11-11001-111-11-1-1−i3−i3i3i30002-20-11i3−i3−i3i3i3−i30001-1-111-1−i3i3i3−i3−i3i3i3−i300000000000000
χ622-2-22-22-1-222-211-12-22-2-22-221-1-11-11001-111-11-1-1i3i3−i3−i30002-20-11−i3i3i3−i3−i3i30001-1-111-1i3−i3−i3i3i3−i3−i3i300000000000000
χ632-2-22-22-1-222-211-12-2-22-222-21-1-11-11001-111-11-1-1−i3−i3i3i3000-2201-1−i3i3i3−i3−i3i3000-111-1-11i3−i3i3−i3−i3i3i3−i300000000000000
χ642-2-22-22-1-222-211-12-2-22-222-21-1-11-11001-111-11-1-1i3i3−i3−i3000-2201-1i3−i3−i3i3i3−i3000-111-1-11−i3i3−i3i3i3−i3−i3i300000000000000
χ652-2-22-22-1-222-211-1-222-22-2-221-11-11-1001-11-11-11-1−i3−i3i3i3000-220-11i3−i3i3−i3−i3i30001-11-1-11−i3i3i3−i3i3−i3−i3i300000000000000
χ662-2-22-22-1-222-211-1-222-22-2-221-11-11-1001-11-11-11-1i3i3−i3−i3000-220-11−i3i3−i3i3i3−i30001-11-1-11i3−i3−i3i3−i3i3i3−i300000000000000
χ672-2-22-22-1-222-211-1-22-222-22-21-11-11-1001-11-11-11-1−i3−i3i3i30002-201-1−i3i3−i3i3i3−i3000-11-111-1i3−i3i3−i3i3−i3−i3i300000000000000
χ682-2-22-22-1-222-211-1-22-222-22-21-11-11-1001-11-11-11-1i3i3−i3−i30002-201-1i3−i3i3−i3−i3i3000-11-111-1−i3i3−i3i3−i3i3i3−i300000000000000
χ694444444-4-4-4-44440000000044000000-4-4-40000-40000000000000000000000000000000000000000000000000
χ70444444-2-4-4-4-4-2-2-200000000-2-2−2i3−2i32i32i3002222i32i3−2i3−2i320000000000000000000000000000000000000000000000000
χ71444444-2-4-4-4-4-2-2-200000000-2-22i32i3−2i3−2i300222−2i3−2i32i32i320000000000000000000000000000000000000000000000000
χ724444-4-4-2-44-44-2-2-24400-4-40022-2-2-2-2002-2-2222220000000000000000000000000000000000000000000000000
χ734444-4-4-2-44-44-2-2-2-4-4004400222222002-2-2-2-2-2-220000000000000000000000000000000000000000000000000
χ744-44-400400004-4-400000000000000−2i22i200000000−2i22i2−2i22i20000000000000000000000000000000−2i22i200002-2000000
χ754-44-400400004-4-400000000000000−2i22i200000000−2i22i2−2i22i200000000000000000000000000000002i2−2i20000-22000000
χ764-44-400400004-4-4000000000000002i2−2i2000000002i2−2i22i2−2i20000000000000000000000000000000−2i22i20000-22000000
χ774-44-400400004-4-4000000000000002i2−2i2000000002i2−2i22i2−2i200000000000000000000000000000002i2−2i200002-2000000
χ784-4-444-4-244-4-422-24-4004-400-22-22-2200-2-22-22-2220000000000000000000000000000000000000000000000000
χ794-4-444-4-244-4-422-2-4400-4400-222-22-200-2-222-22-220000000000000000000000000000000000000000000000000
χ804-4-44-4444-4-44-4-4400000000-440000004-440000-40000000000000000000000000000000000000000000000000
χ814-4-44-44-24-4-4422-2000000002-2−2i32i32i3−2i300-22-2−2i32i32i3−2i320000000000000000000000000000000000000000000000000
χ824-4-44-44-24-4-4422-2000000002-22i3−2i3−2i32i300-22-22i3−2i3−2i32i320000000000000000000000000000000000000000000000000
χ8388-8-80080000-88-80000000000000000000000000000000000000000000000000000000000000000000000000
χ8488-8-800-400004-4400000000000000000000000026−26−2626000000000000000000000000000000000000000000000
χ8588-8-800-400004-44000000000000000000000000−262626−26000000000000000000000000000000000000000000000
χ868-88-800-40000-44400000000000000−4i24i2000000002i2−2i22i2−2i2000000000000000000000000000000000000000000000
χ878-88-800-40000-444000000000000004i2−4i200000000−2i22i2−2i22i2000000000000000000000000000000000000000000000

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