Finite Group Databasebeta

← Group #11794343

Character table — Group #11794343

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order12222233444466666666663666666666121212121212121222666666666666666612121212888824242424242424244444881212121212121212242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111111111-1-1
χ922222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-2-2-20000000000000000000000000000002i−2i00
χ1022222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-2-2-2000000000000000000000000000000−2i2i00
χ112222222-12222222222-1-1-12-1-1-1-1-1-1-1-1-1-1222-1-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000200222-1-1-1-10000-1-1-1-10000
χ122222222-12222222222-1-1-12-1-1-1-1-1-1-1-1-1-1222-1-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-200-2-2-21111000011110000
χ132222222-12222222222-1-1-12-1-1-1-1-1-1-1-1-1-1222-1-1-12-1-2-2-2-2-2-2111111111111-1-1-1-10000000000002002-2-2-1-1-1-1000011110000
χ142222222-12222222222-1-1-12-1-1-1-1-1-1-1-1-1-1222-1-1-12-1-2-2-2-2-2-2111111111111-1-1-1-1000000000000-200-22211110000-1-1-1-10000
χ15222222-122222-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-1-1-1222-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10220000000-1-1-1-100000000
χ16222222-122222-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-1-1-1222-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110-2-20000000111100000000
χ17222222-122222-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-1-1-1222-12-2-21111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10-2-20000000111100000000
χ18222222-122222-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-1-1-1222-12-2-21111-2-2-2-211111111-1-1-1-1-2-2-2-2111111110220000000-1-1-1-100000000
χ192222-2-2222-22-22-2-2-2-2222222-2-222-2-2-2-2222-22-2-2-2200000000000000000022-2-2000000000000200-20022-2-2000000000000
χ202222-2-2222-22-22-2-2-2-2222222-2-222-2-2-2-2222-22-2-2-2200000000000000000022-2-2000000000000-200200-2-222000000000000
χ212222-2-222-22-222-2-2-2-2222222-2-222-2-2-2-22-2-22-2222-2000000000000000000-2-22222-2-22222-2-2-2-20000000000000000000000
χ222222-2-222-22-222-2-2-2-2222222-2-222-2-2-2-22-2-22-2222-2000000000000000000-2-222-2-222-2-2-2-222220000000000000000000000
χ232222-2-22-12-22-22-2-2-2-22-1-1-12-111-1-11111-122-2-111-2-1000000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3-1-111000000000000200-200-1-1110000−i3−i3i3i30000
χ242222-2-22-12-22-22-2-2-2-22-1-1-12-111-1-11111-122-2-111-2-1000000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3-1-111000000000000-20020011-1-10000i3i3−i3−i30000
χ252222-2-22-12-22-22-2-2-2-22-1-1-12-111-1-11111-122-2-111-2-1000000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3-1-111000000000000200-200-1-1110000i3i3−i3−i30000
χ262222-2-22-12-22-22-2-2-2-22-1-1-12-111-1-11111-122-2-111-2-1000000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3-1-111000000000000-20020011-1-10000−i3−i3i3i30000
χ272222-2-2-12-22-22-11111-1222-1-1-2-2-1-11111-111-1-222-1-200−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i311-1-122-2-2-1-1-1-111110000000000−i3−i3i3i300000000
χ282222-2-2-12-22-22-11111-1222-1-1-2-2-1-11111-111-1-222-1-200−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i311-1-1-2-2221111-1-1-1-10000000000i3i3−i3−i300000000
χ292222-2-2-12-22-22-11111-1222-1-1-2-2-1-11111-111-1-222-1-200i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i311-1-122-2-2-1-1-1-111110000000000i3i3−i3−i300000000
χ302222-2-2-12-22-22-11111-1222-1-1-2-2-1-11111-111-1-222-1-200i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i311-1-1-2-2221111-1-1-1-10000000000−i3−i3i3i300000000
χ3122-2-22-22222-2-2-222-2-222-2-2-222-2-2-222-2-222-2222-2-2-22-22-22-22-22-22-22-22-22-22-22-20000000000000000000000000000000000
χ3222-2-22-22222-2-2-222-2-222-2-2-222-2-2-222-2-222-2222-2-2-2-22-22-22-22-22-22-22-22-222-22-20000000000000000000000000000000000
χ3322-2-22-222-2-222-222-2-222-2-2-222-2-2-222-2-22-22-2-2-2222000000000000000000-22-22000000000000000000000000000000002-2
χ3422-2-22-222-2-222-222-2-222-2-2-222-2-2-222-2-22-22-2-2-2222000000000000000000-22-2200000000000000000000000000000000-22
χ3522-2-22-22-122-2-2-222-2-22-111-2-1-1111-1-111-12-22-1-11-212-22-22-2-11-11-11-11-11-11-11-110000000000000000003−33−300003−33−30000
χ3622-2-22-22-122-2-2-222-2-22-111-2-1-1111-1-111-12-22-1-11-212-22-22-2-11-11-11-11-11-11-11-11000000000000000000−33−330000−33−330000
χ3722-2-22-22-122-2-2-222-2-22-111-2-1-1111-1-111-12-22-1-11-21-22-22-221-11-11-11-11-11-1-11-110000000000000000003−33−30000−33−330000
χ3822-2-22-22-122-2-2-222-2-22-111-2-1-1111-1-111-12-22-1-11-21-22-22-221-11-11-11-11-11-1-11-11000000000000000000−33−3300003−33−30000
χ3922-2-22-2-1222-2-21-1-111-12-2-21-12-211-1-111-1-11-122-21-22-2-11-112-22-2-11-11-11-11-11-11000033−3−333−3−300000000003−33−300000000
χ4022-2-22-2-1222-2-21-1-111-12-2-21-12-211-1-111-1-11-122-21-22-2-11-112-22-2-11-11-11-11-11-110000−3−333−3−3330000000000−33−3300000000
χ4122-2-22-2-1222-2-21-1-111-12-2-21-12-211-1-111-1-11-122-21-2-221-11-1-22-221-11-11-11-1-11-11000033−3−333−3−30000000000−33−3300000000
χ4222-2-22-2-1222-2-21-1-111-12-2-21-12-211-1-111-1-11-122-21-2-221-11-1-22-221-11-11-11-1-11-110000−3−333−3−33300000000003−33−300000000
χ4322-2-2-22222-2-22-2-2-22222-2-2-22-22-2-2-2-22222-2-22-222-20000000000000000002-2-2200000000000000002i−2i000000002i−2i−2i2i0000
χ4422-2-2-22222-2-22-2-2-22222-2-2-22-22-2-2-2-22222-2-22-222-20000000000000000002-2-220000000000000000−2i2i00000000−2i2i2i−2i0000
χ4522-2-2-2222-222-2-2-2-22222-2-2-22-22-2-2-2-2222-222-22-2-22000000000000000000-222-200000000000002i−2i00000002i−2i−2i2i00000000
χ4622-2-2-2222-222-2-2-2-22222-2-2-22-22-2-2-2-2222-222-22-2-22000000000000000000-222-20000000000000−2i2i0000000−2i2i2i−2i00000000
χ4722-2-2-222-12-2-22-2-2-2222-111-2-11-11111-1-1-12-2-2-11-121000000−i3i3i3−i3−i3i3−i3i3i3−i3i3−i3-111-100000000000000002i−2i3−3−330000−iii−i0000
χ4822-2-2-222-12-2-22-2-2-2222-111-2-11-11111-1-1-12-2-2-11-121000000−i3i3i3−i3−i3i3−i3i3i3−i3i3−i3-111-10000000000000000−2i2i−333−30000i−i−ii0000
χ4922-2-2-222-12-2-22-2-2-2222-111-2-11-11111-1-1-12-2-2-11-121000000i3−i3−i3i3i3−i3i3−i3−i3i3−i3i3-111-100000000000000002i−2i−333−30000−iii−i0000
χ5022-2-2-222-12-2-22-2-2-2222-111-2-11-11111-1-1-12-2-2-11-121000000i3−i3−i3i3i3−i3i3−i3−i3i3−i3i3-111-10000000000000000−2i2i3−3−330000i−i−ii0000
χ5122-2-2-22-12-222-2111-1-1-12-2-21-1-221111-1-1-11-1-1-22-21200−i3i3i3−i30000−i3i3i3−i3−i3i3i3−i31-1-11000033−3−3−3−33302i−2i0000000−iii−i00000000
χ5222-2-2-22-12-222-2111-1-1-12-2-21-1-221111-1-1-11-1-1-22-21200−i3i3i3−i30000−i3i3i3−i3−i3i3i3−i31-1-110000−3−33333−3−30−2i2i0000000i−i−ii00000000
χ5322-2-2-22-12-222-2111-1-1-12-2-21-1-221111-1-1-11-1-1-22-21200i3−i3−i3i30000i3−i3−i3i3i3−i3−i3i31-1-11000033−3−3−3−3330−2i2i0000000i−i−ii00000000
χ5422-2-2-22-12-222-2111-1-1-12-2-21-1-221111-1-1-11-1-1-22-21200i3−i3−i3i30000i3−i3−i3i3i3−i3−i3i31-1-110000−3−33333−3−302i−2i0000000−iii−i00000000
χ554444444-2-4-4-4-4444444-2-2-24-2-2-2-2-2-2-2-2-2-2-4-4-4222-4200000000000000000022220000000000000000000000000000000000
χ56444444-24-4-4-4-4-2-2-2-2-2-2444-2-244-2-2-2-2-2-2-2222-4-4-42-400000000000000000022220000000000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000
χ58444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-2-4-422222222-1-1-1-1-1-1-1-111110000000000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-2111111122222222000000000033-3-3-3-333-1-1-1-10000000000000000000000000000000000
χ60444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-21111111222222220000000000-3-33333-3-3-1-1-1-10000000000000000000000000000000000
χ614444-4-44-2-44-444-4-4-4-44-2-2-24-222-2-22222-2-4-442-2-24200000000000000000022-2-20000000000000000000000000000000000
χ624444-4-4-244-44-4-22222-2444-2-2-4-4-2-22222-2-2-224-4-424000000000000000000-2-2220000000000000000000000000000000000
χ634444-4-4-2-24-44-4-22222-2-2-2-2-212211-1-1-1-11-2-22-2222-2000000−2i3−2i32i32i3i3i3i3i3−i3−i3−i3−i311-1-10000000000000000000000000000000000
χ644444-4-4-2-24-44-4-22222-2-2-2-2-212211-1-1-1-11-2-22-2222-20000002i32i3−2i3−2i3−i3−i3−i3−i3i3i3i3i311-1-10000000000000000000000000000000000
χ654444-4-4-2-2-44-44-22222-2-2-2-2-212211-1-1-1-1122-22-2-2-2200−2i3−2i32i32i30000i3i3−i3−i3i3i3−i3−i3-1-1110000000000000000000000000000000000
χ664444-4-4-2-2-44-44-22222-2-2-2-2-212211-1-1-1-1122-22-2-2-22002i32i3−2i3−2i30000−i3−i3i3i3−i3−i3i3i3-1-1110000000000000000000000000000000000
χ6744-4-44-44-2-4-444-444-4-44-222-4-2-2222-2-222-2-44-422-24-20000000000000000002-22-20000000000000000000000000000000000
χ6844-4-44-4-24-4-4442-2-222-24-4-42-24-422-2-222-22-22-4-44-240000000000000000002-22-20000000000000000000000000000000000
χ6944-4-44-4-2-244-4-42-2-222-2-22221-22-1-111-1-11-22-2-2-22224-4-22-22-22-221-11-11-11-11-11-10000000000000000000000000000000000
χ7044-4-44-4-2-244-4-42-2-222-2-22221-22-1-111-1-11-22-2-2-2222-442-22-22-22-2-11-11-11-111-11-10000000000000000000000000000000000
χ7144-4-44-4-2-2-4-4442-2-222-2-22221-22-1-111-1-112-2222-2-2-200000000003-3-33-333-3-11-110000000000000000000000000000000000
χ7244-4-44-4-2-2-4-4442-2-222-2-22221-22-1-111-1-112-2222-2-2-20000000000-333-33-3-33-11-110000000000000000000000000000000000
χ7344-4-4-444-2-444-4-4-4-4444-222-4-22-22222-2-2-2-4442-22-4-20000000000000000002-2-220000000000000000000000000000000000
χ7444-4-4-44-244-4-44222-2-2-24-4-42-2-442222-2-2-2-2224-44-2-4000000000000000000-222-20000000000000000000000000000000000
χ7544-4-4-44-2-24-4-44222-2-2-2-222212-2-1-1-1-1111-222-22-2-22000000−2i32i32i3−2i3i3−i3i3−i3−i3i3−i3i31-1-110000000000000000000000000000000000
χ7644-4-4-44-2-24-4-44222-2-2-2-222212-2-1-1-1-1111-222-22-2-220000002i3−2i3−2i32i3−i3i3−i3i3i3−i3i3−i31-1-110000000000000000000000000000000000
χ7744-4-4-44-2-2-444-4222-2-2-2-222212-2-1-1-1-11112-2-22-222-200−2i32i32i3−2i30000i3−i3−i3i3i3−i3−i3i3-111-10000000000000000000000000000000000
χ7844-4-4-44-2-2-444-4222-2-2-2-222212-2-1-1-1-11112-2-22-222-2002i3−2i3−2i32i30000−i3i3i3−i3−i3i3i3−i3-111-10000000000000000000000000000000000
χ794-44-40044000040000-4-44-4-44004-40000-400000000000000000000000000000000−2i22i20000−2i22i2−2i22i20000000000000000000000
χ804-44-40044000040000-4-44-4-44004-40000-4000000000000000000000000000000002i2−2i200002i2−2i22i2−2i20000000000000000000000
χ814-44-400-240000-2−2i32i3−2i32i32-44-42-200-22−2i32i3−2i32i3200000000000000000000000000000000−2i22i26−66−6i2−i2i2−i20000000000000000000000
χ824-44-400-240000-2−2i32i3−2i32i32-44-42-200-22−2i32i3−2i32i32000000000000000000000000000000002i2−2i2−66−66−i2i2−i2i20000000000000000000000
χ834-44-400-240000-22i3−2i32i3−2i32-44-42-200-222i3−2i32i3−2i3200000000000000000000000000000000−2i22i2−66−66i2−i2i2−i20000000000000000000000
χ844-44-400-240000-22i3−2i32i3−2i32-44-42-200-222i3−2i32i3−2i32000000000000000000000000000000002i2−2i26−66−6−i2i2−i2i20000000000000000000000
χ854-4-4400440000-40000-4-4-444400-440000-400000000000000000000000000000022−220022−22−222200000000000000000000000000
χ864-4-4400440000-40000-4-4-444400-440000-4000000000000000000000000000000−222200−222222−2200000000000000000000000000
χ874-4-4400-2400002−2i32i32i3−2i32-4-44-2-2002-2−2i32i32i3−2i3200000000000000000000000000000022−2200−222−2i6−i6−i6i60000000000000000000000
χ884-4-4400-2400002−2i32i32i3−2i32-4-44-2-2002-2−2i32i32i3−2i32000000000000000000000000000000−2222002−2−22−i6i6i6−i60000000000000000000000
χ894-4-4400-24000022i3−2i3−2i32i32-4-44-2-2002-22i3−2i3−2i32i3200000000000000000000000000000022−2200−222−2−i6i6i6−i60000000000000000000000
χ904-4-4400-24000022i3−2i3−2i32i32-4-44-2-2002-22i3−2i3−2i32i32000000000000000000000000000000−2222002−2−22i6−i6−i6i60000000000000000000000
χ918-88-8008-4000080000-84-44-8-400-44000040000000000000000000000000000000000000000000000000000000000000000
χ928-88-800-4-40000-4−4i34i3−4i34i344-4442002-22i3−2i32i3−2i3-20000000000000000000000000000000000000000000000000000000000000000
χ938-88-800-4-40000-44i3−4i34i3−4i344-4442002-2−2i32i3−2i32i3-20000000000000000000000000000000000000000000000000000000000000000
χ948-8-88008-40000-80000-844-48-4004-4000040000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-400004−4i34i34i3−4i3444-4-4200-222i3−2i3−2i32i3-20000000000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-4000044i3−4i3−4i34i3444-4-4200-22−2i32i32i3−2i3-20000000000000000000000000000000000000000000000000000000000000000

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