Finite Group Databasebeta

← Group #11874916

Character table — Group #11874916

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222224444444444444444666666666666666688888888999912121212121212121212121212121212161616161616161618181818181824242424484848487272
order1222334444446666663666121212121212121212121212888888888888888844121212121212222224242424242424242424242424242424121212121212121244444444441212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ9111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-11-11-11-11-11-1
χ10111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-11-11-11-11-11
χ11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111-1-111-1-11-11
χ12111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-111-1-111-11-1
χ13111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11111-111-1-111-1-11
χ14111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111111-1-111-1-111-1
χ15111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-1-11-11-11-111-1
χ16111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-11-11-11-11-1-11
χ1722222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-222-2-22222000000000000000000000000-2-222-2-20000000000
χ1822222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-222-2-2-2-2-2-200000000000000000000000022-2-2220000000000
χ19222222-2-222-2-22222222222-2-2-2-22222-2-2-2-2000000000000000000-2-2-2-2222222000000000000000000000000-2-2-2-2220000000000
χ20222222-2-222-2-22222222222-2-2-2-22222-2-2-2-2000000000000000000-2-2-2-222-2-2-2-20000000000000000000000002222-2-20000000000
χ2122222-12222222-122-1-1-1-1-1-122-1-122-1-122-1-1000000002222222222-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-12-12-1-1-1-1-1000000002200-1-100
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χ2322222-12222222-122-1-1-1-1-1-122-1-122-1-122-1-100000000-2-2-2-2-2-2-2-222-1-1-1-1-1-1000000000000111111112-12-1-1-1-1-100000000-2-2001100
χ2422222-12222222-122-1-1-1-1-1-122-1-122-1-122-1-100000000-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-100000000000011111111-21-211111000000002200-1-100
χ2522222-1-2-2-2-2222-122-1-1-1-1-1-1-2-211-2-21122-1-1000000002222-2-2-2-22-2-1-11111000000000000-1-1-1-111112-1-21-1-111000000002-200-1100
χ2622222-1-2-2-2-2222-122-1-1-1-1-1-1-2-211-2-21122-1-1000000002222-2-2-2-2-22-1-11111000000000000-1-1-1-11111-212-111-1-100000000-22001-100
χ2722222-1-2-2-2-2222-122-1-1-1-1-1-1-2-211-2-21122-1-100000000-2-2-2-222222-2-1-111110000000000001111-1-1-1-12-1-21-1-11100000000-22001-100
χ2822222-1-2-2-2-2222-122-1-1-1-1-1-1-2-211-2-21122-1-100000000-2-2-2-22222-22-1-111110000000000001111-1-1-1-1-212-111-1-1000000002-200-1100
χ292222-12222222-12-1-122-1-1-1-1-1-122-1-122-1-122222222220000000022-1-1-1-1-1-10000-1-1-1-1-1-1-1-100000000-12-12-1-1-1-10000002200-1-10000
χ302222-12222222-12-1-122-1-1-1-1-1-122-1-122-1-1222222222200000000-2-2-1-1-1-1-1-10000-1-1-1-1-1-1-1-1000000001-21-21111000000-2-200110000
χ312222-12222222-12-1-122-1-1-1-1-1-122-1-122-1-122-2-2-2-2-2-2-2-20000000022-1-1-1-1-1-100001111111100000000-12-12-1-1-1-1000000-2-200110000
χ322222-12222222-12-1-122-1-1-1-1-1-122-1-122-1-122-2-2-2-2-2-2-2-200000000-2-2-1-1-1-1-1-1000011111111000000001-21-211110000002200-1-10000
χ332222-12-2-2-2-222-12-1-122-1-1-1-111-2-211-2-2-1-1222222-2-2-2-2000000002-2-1-111110000-1-1-1-1111100000000-121-2-1-1110000002-200-110000
χ342222-12-2-2-2-222-12-1-122-1-1-1-111-2-211-2-2-1-1222222-2-2-2-200000000-22-1-111110000-1-1-1-11111000000001-2-1211-1-1000000-22001-10000
χ352222-12-2-2-2-222-12-1-122-1-1-1-111-2-211-2-2-1-122-2-2-2-22222000000002-2-1-1111100001111-1-1-1-100000000-121-2-1-111000000-22001-10000
χ362222-12-2-2-2-222-12-1-122-1-1-1-111-2-211-2-2-1-122-2-2-2-2222200000000-22-1-1111100001111-1-1-1-1000000001-2-1211-1-10000002-200-110000
χ3722-2-22200002-222-2-2-2-222-2-2000000002-22-2000022-2-2000022-2-2002-2000022-2-2000022-2-2000022-2-2000000002-200000000000000
χ3822-2-22200002-222-2-2-2-222-2-2000000002-22-2000022-2-20000-2-222002-20000-2-222000022-2-20000-2-22200000000-2200000000000000
χ3922-2-22200002-222-2-2-2-222-2-2000000002-22-20000-2-222000022-2-2002-20000-2-2220000-2-222000022-2-200000000-2200000000000000
χ4022-2-22200002-222-2-2-2-222-2-2000000002-22-20000-2-2220000-2-222002-2000022-2-20000-2-2220000-2-222000000002-200000000000000
χ4122-2-2220000-2222-2-2-2-222-2-200000000-22-2222-2-2000022-2-2000000-22000022-2-222-2-2000022-2-2000000000000-2200000000000000
χ4222-2-2220000-2222-2-2-2-222-2-200000000-22-2222-2-20000-2-222000000-220000-2-22222-2-20000-2-2220000000000002-200000000000000
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χ4422-2-2220000-2222-2-2-2-222-2-200000000-22-22-2-2220000-2-222000000-22000022-2-2-2-2220000-2-222000000000000-2200000000000000
χ452-22-222002i−2i00-2-22-22-22-22-200002i−2i2i−2i0000i2−i2i2−i22−22−2i2−i2i2−i22−22−20000002i−2i2-22-2i2−i2i2−i22−22−2i2−i2i2−i22−22−20000000000002i−2i0000000000
χ462-22-222002i−2i00-2-22-22-22-22-200002i−2i2i−2i0000i2−i2i2−i22−22−2−i2i2−i2i2−22−220000002i−2i-22-22i2−i2i2−i22−22−2−i2i2−i2i2−22−22000000000000−2i2i0000000000
χ472-22-222002i−2i00-2-22-22-22-22-200002i−2i2i−2i0000−i2i2−i2i2−22−22i2−i2i2−i22−22−20000002i−2i-22-22−i2i2−i2i2−22−22i2−i2i2−i22−22−2000000000000−2i2i0000000000
χ482-22-222002i−2i00-2-22-22-22-22-200002i−2i2i−2i0000−i2i2−i2i2−22−22−i2i2−i2i2−22−220000002i−2i2-22-2−i2i2−i2i2−22−22−i2i2−i2i2−22−220000000000002i−2i0000000000
χ492-22-22200−2i2i00-2-22-22-22-22-20000−2i2i−2i2i0000i2−i2i2−i2−22−22i2−i2i2−i2−22−22000000−2i2i2-22-2i2−i2i2−i2−22−22i2−i2i2−i2−22−22000000000000−2i2i0000000000
χ502-22-22200−2i2i00-2-22-22-22-22-20000−2i2i−2i2i0000i2−i2i2−i2−22−22−i2i2−i2i22−22−2000000−2i2i-22-22i2−i2i2−i2−22−22−i2i2−i2i22−22−20000000000002i−2i0000000000
χ512-22-22200−2i2i00-2-22-22-22-22-20000−2i2i−2i2i0000−i2i2−i2i22−22−2i2−i2i2−i2−22−22000000−2i2i-22-22−i2i2−i2i22−22−2i2−i2i2−i2−22−220000000000002i−2i0000000000
χ522-22-22200−2i2i00-2-22-22-22-22-20000−2i2i−2i2i0000−i2i2−i2i22−22−2−i2i2−i2i22−22−2000000−2i2i2-22-2−i2i2−i2i22−22−2−i2i2−i2i22−22−2000000000000−2i2i0000000000
χ532-2-22222i−2i0000-2-2-22-222-2-222i−2i2i−2i00000000i2−i2−i2i22−2−22i2−i2−i2i22−2−2200002i−2i002-2-22i2−i2−i2i22−2−22i2−i2−i2i22−2−2200000000002i−2i000000000000
χ542-2-22222i−2i0000-2-2-22-222-2-222i−2i2i−2i00000000i2−i2−i2i22−2−22−i2i2i2−i2−222−200002i−2i00-222-2i2−i2−i2i22−2−22−i2i2i2−i2−222−20000000000−2i2i000000000000
χ552-2-22222i−2i0000-2-2-22-222-2-222i−2i2i−2i00000000−i2i2i2−i2−222−2i2−i2−i2i22−2−2200002i−2i00-222-2−i2i2i2−i2−222−2i2−i2−i2i22−2−220000000000−2i2i000000000000
χ562-2-22222i−2i0000-2-2-22-222-2-222i−2i2i−2i00000000−i2i2i2−i2−222−2−i2i2i2−i2−222−200002i−2i002-2-22−i2i2i2−i2−222−2−i2i2i2−i2−222−200000000002i−2i000000000000
χ572-2-2222−2i2i0000-2-2-22-222-2-22−2i2i−2i2i00000000i2−i2−i2i2−222−2i2−i2−i2i2−222−20000−2i2i002-2-22i2−i2−i2i2−222−2i2−i2−i2i2−222−20000000000−2i2i000000000000
χ582-2-2222−2i2i0000-2-2-22-222-2-22−2i2i−2i2i00000000i2−i2−i2i2−222−2−i2i2i2−i22−2−220000−2i2i00-222-2i2−i2−i2i2−222−2−i2i2i2−i22−2−2200000000002i−2i000000000000
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χ964-4-44-24−4i4i00002-42-2-44-222-22i−2i−4i4i00000000−2i22i22i2−2i222−22−22220000000000002i−2i000000i2−i2−i2i2−222−200000000000000000000000000000000
χ9788-8-8-4-400008-8-4-4444422-2-200000000-44-440000000000000000002-2000000000000000000000000000000000000000000000000
χ9888-8-8-4-40000-88-4-4444422-2-2000000004-44-4000000000000000000-22000000000000000000000000000000000000000000000000
χ998-88-8-4-4008i−8i0044-44-442-22-20000−4i4i−4i4i000000000000000000000000002i−2i00000000000000000000000000000000000000000000
χ1008-88-8-4-400−8i8i0044-44-442-22-200004i−4i4i−4i00000000000000000000000000−2i2i00000000000000000000000000000000000000000000
χ1018-8-88-4-48i−8i0000444-44-42-2-22−4i4i−4i4i00000000000000000000000000002i−2i0000000000000000000000000000000000000000000000
χ1028-8-88-4-4−8i8i0000444-44-42-2-224i−4i4i−4i0000000000000000000000000000−2i2i0000000000000000000000000000000000000000000000

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