Finite Group Databasebeta

← Group #11874247

Character table — Group #11874247

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222224444444444444444666666666666666688888888999912121212121212121212121212121212161616161616161618181818181824242424484848487272
order1222334444446666663666121212121212121212121212888888888888888824121212121212222224242424242424242424242424242424666612121212444444224466121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-11-11-11-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-11-11-11-11-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-111
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
χ9111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11-1
χ10111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-11
χ11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11-1-111-1-11-11
χ12111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-111-1-111-11-1
χ13111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-111-1-111-1-11
χ14111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11-1-111-1-111-1
χ15111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1111-1
χ16111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-11
χ1722222222-2-2-2-222222222222222-2-2-2-2-2-2-2-200000000000000000022-2-2-2-2222200000000000000000000000022-2-2-2-20000000000
χ1822222222-2-2-2-222222222222222-2-2-2-2-2-2-2-200000000000000000022-2-2-2-2-2-2-2-2000000000000000000000000-2-222220000000000
χ19222222-2-222-2-22222222222-2-2-2-22222-2-2-2-2000000000000000000-2-222-2-22222000000000000000000000000-2-222-2-20000000000
χ20222222-2-222-2-22222222222-2-2-2-22222-2-2-2-2000000000000000000-2-222-2-2-2-2-2-200000000000000000000000022-2-2220000000000
χ2122222-122222222-1-12-1-1-1-1-122-1-122-1-122-1-1000000002222222222-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-12-1-1-12-1-1-100000002020-10-100
χ2222222-122222222-1-12-1-1-1-1-122-1-122-1-122-1-10000000022222222-2-2-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-2111-21110000000-20-2010100
χ2322222-122222222-1-12-1-1-1-1-122-1-122-1-122-1-100000000-2-2-2-2-2-2-2-222-1-1-1-1-1-1000000000000111111112-1-1-12-1-1-10000000-20-2010100
χ2422222-122222222-1-12-1-1-1-1-122-1-122-1-122-1-100000000-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-100000000000011111111-2111-211100000002020-10-100
χ2522222-1-2-2-2-22222-1-12-1-1-1-1-1-2-211-2-21122-1-1000000002222-2-2-2-22-21111-1-1000000000000-1-1-1-111112-1-1-1-2111000000020-20-10100
χ2622222-1-2-2-2-22222-1-12-1-1-1-1-1-2-211-2-21122-1-1000000002222-2-2-2-2-221111-1-1000000000000-1-1-1-11111-21112-1-1-10000000-202010-100
χ2722222-1-2-2-2-22222-1-12-1-1-1-1-1-2-211-2-21122-1-100000000-2-2-2-222222-21111-1-10000000000001111-1-1-1-12-1-1-1-21110000000-202010-100
χ2822222-1-2-2-2-22222-1-12-1-1-1-1-1-2-211-2-21122-1-100000000-2-2-2-22222-221111-1-10000000000001111-1-1-1-1-21112-1-1-1000000020-20-10100
χ292222-12222222-1-122-12-1-1-1-1-1-122-1-122-1-122222222220000000022-1-1-1-1-1-10000-1-1-1-1-1-1-1-100000000-12-1-1-12-1-10000002020-10-1000
χ302222-12222222-1-122-12-1-1-1-1-1-122-1-122-1-1222222222200000000-2-2-1-1-1-1-1-10000-1-1-1-1-1-1-1-1000000001-2111-211000000-20-20101000
χ312222-12222222-1-122-12-1-1-1-1-1-122-1-122-1-122-2-2-2-2-2-2-2-20000000022-1-1-1-1-1-100001111111100000000-12-1-1-12-1-1000000-20-20101000
χ322222-12222222-1-122-12-1-1-1-1-1-122-1-122-1-122-2-2-2-2-2-2-2-200000000-2-2-1-1-1-1-1-1000011111111000000001-2111-2110000002020-10-1000
χ332222-12-2-2-2-222-1-122-12-1-1-1-111-2-211-2-2-1-1222222-2-2-2-2000000002-21111-1-10000-1-1-1-1111100000000-12-1-11-21100000020-20-101000
χ342222-12-2-2-2-222-1-122-12-1-1-1-111-2-211-2-2-1-1222222-2-2-2-200000000-221111-1-10000-1-1-1-11111000000001-211-12-1-1000000-202010-1000
χ352222-12-2-2-2-222-1-122-12-1-1-1-111-2-211-2-2-1-122-2-2-2-22222000000002-21111-1-100001111-1-1-1-100000000-12-1-11-211000000-202010-1000
χ362222-12-2-2-2-222-1-122-12-1-1-1-111-2-211-2-2-1-122-2-2-2-2222200000000-221111-1-100001111-1-1-1-1000000001-211-12-1-100000020-20-101000
χ3722-2-222002i−2i002-22-2-2-222-2-200002i−2i2i−2i000022−2−2i2i2−i2−i222−2−2i2i2−i2−i200002i−2i0022-2-222−2−2i2i2−i2−i222−2−2i2i2−i2−i200000000002i−2i000000000000
χ3822-2-222002i−2i002-22-2-2-222-2-200002i−2i2i−2i000022−2−2i2i2−i2−i2−2−222−i2−i2i2i200002i−2i00-2-22222−2−2i2i2−i2−i2−2−222−i2−i2i2i20000000000−2i2i000000000000
χ3922-2-222002i−2i002-22-2-2-222-2-200002i−2i2i−2i0000−2−222−i2−i2i2i222−2−2i2i2−i2−i200002i−2i00-2-222−2−222−i2−i2i2i222−2−2i2i2−i2−i20000000000−2i2i000000000000
χ4022-2-222002i−2i002-22-2-2-222-2-200002i−2i2i−2i0000−2−222−i2−i2i2i2−2−222−i2−i2i2i200002i−2i0022-2-2−2−222−i2−i2i2i2−2−222−i2−i2i2i200000000002i−2i000000000000
χ4122-2-22200−2i2i002-22-2-2-222-2-20000−2i2i−2i2i000022−2−2−i2−i2i2i222−2−2−i2−i2i2i20000−2i2i0022-2-222−2−2−i2−i2i2i222−2−2−i2−i2i2i20000000000−2i2i000000000000
χ4222-2-22200−2i2i002-22-2-2-222-2-20000−2i2i−2i2i000022−2−2−i2−i2i2i2−2−222i2i2−i2−i20000−2i2i00-2-22222−2−2−i2−i2i2i2−2−222i2i2−i2−i200000000002i−2i000000000000
χ4322-2-22200−2i2i002-22-2-2-222-2-20000−2i2i−2i2i0000−2−222i2i2−i2−i222−2−2−i2−i2i2i20000−2i2i00-2-222−2−222i2i2−i2−i222−2−2−i2−i2i2i200000000002i−2i000000000000
χ4422-2-22200−2i2i002-22-2-2-222-2-20000−2i2i−2i2i0000−2−222i2i2−i2−i2−2−222i2i2−i2−i20000−2i2i0022-2-2−2−222i2i2−i2−i2−2−222i2i2−i2−i20000000000−2i2i000000000000
χ452-22-2222i−2i0000-22-22-2-22-22-22i−2i2i−2i000000002−22−2i2−i2i2−i22−22−2i2−i2i2−i2002i−2i00002-22-22−22−2i2−i2i2−i22−22−2i2−i2i2−i2000000002i−2i00000000000000
χ462-22-2222i−2i0000-22-22-2-22-22-22i−2i2i−2i000000002−22−2i2−i2i2−i2−22−22−i2i2−i2i2002i−2i0000-22-222−22−2i2−i2i2−i2−22−22−i2i2−i2i200000000−2i2i00000000000000
χ472-22-2222i−2i0000-22-22-2-22-22-22i−2i2i−2i00000000−22−22−i2i2−i2i22−22−2i2−i2i2−i2002i−2i0000-22-22−22−22−i2i2−i2i22−22−2i2−i2i2−i200000000−2i2i00000000000000
χ482-22-2222i−2i0000-22-22-2-22-22-22i−2i2i−2i00000000−22−22−i2i2−i2i2−22−22−i2i2−i2i2002i−2i00002-22-2−22−22−i2i2−i2i2−22−22−i2i2−i2i2000000002i−2i00000000000000
χ492-22-222−2i2i0000-22-22-2-22-22-2−2i2i−2i2i000000002−22−2−i2i2−i2i22−22−2−i2i2−i2i200−2i2i00002-22-22−22−2−i2i2−i2i22−22−2−i2i2−i2i200000000−2i2i00000000000000
χ502-22-222−2i2i0000-22-22-2-22-22-2−2i2i−2i2i000000002−22−2−i2i2−i2i2−22−22i2−i2i2−i200−2i2i0000-22-222−22−2−i2i2−i2i2−22−22i2−i2i2−i2000000002i−2i00000000000000
χ512-22-222−2i2i0000-22-22-2-22-22-2−2i2i−2i2i00000000−22−22i2−i2i2−i22−22−2−i2i2−i2i200−2i2i0000-22-22−22−22i2−i2i2−i22−22−2−i2i2−i2i2000000002i−2i00000000000000
χ522-22-222−2i2i0000-22-22-2-22-22-2−2i2i−2i2i00000000−22−22i2−i2i2−i2−22−22i2−i2i2−i200−2i2i00002-22-2−22−22i2−i2i2−i2−22−22i2−i2i2−i200000000−2i2i00000000000000
χ532-2-222200002-2-2-2-2-2222-2-22000000002-22-200002-2-2200002-2-220000002-22-2-2200002-2-2200002-2-220000000000002-20000000000
χ542-2-222200002-2-2-2-2-2222-2-22000000002-22-200002-2-220000-222-20000002-2-222-200002-2-220000-222-2000000000000-220000000000
χ552-2-222200002-2-2-2-2-2222-2-22000000002-22-20000-222-200002-2-220000002-2-222-20000-222-200002-2-22000000000000-220000000000
χ562-2-222200002-2-2-2-2-2222-2-22000000002-22-20000-222-20000-222-20000002-22-2-220000-222-20000-222-20000000000002-20000000000
χ572-2-22220000-22-2-2-2-2222-2-2200000000-22-222-2-2200002-2-220000000000-222-2-222-2-2200002-2-220000000000000000-220000000000
χ582-2-22220000-22-2-2-2-2222-2-2200000000-22-222-2-220000-222-20000000000-22-222-22-2-220000-222-200000000000000002-20000000000
χ592-2-22220000-22-2-2-2-2222-2-2200000000-22-22-222-200002-2-220000000000-22-222-2-222-200002-2-2200000000000000002-20000000000
χ602-2-22220000-22-2-2-2-2222-2-2200000000-22-22-222-20000-222-20000000000-222-2-22-222-20000-222-20000000000000000-220000000000
χ6144444-244-4-4-4-444-2-24-2-2-2-2-244-2-2-4-422-4-422000000000000000000-2-2222200000000000000000000000000000000000000000000
χ6244444-2-4-444-4-444-2-24-2-2-2-2-2-4-42244-2-2-4-42200000000000000000022-2-22200000000000000000000000000000000000000000000
χ634444-2444-4-4-4-4-2-244-24-2-2-2-2-2-24422-4-422-4-4000000000000000000-2-2222200000000000000000000000000000000000000000000
χ644444-24-4-444-4-4-2-244-24-2-2-2-222-4-4-2-24422-4-400000000000000000022-2-22200000000000000000000000000000000000000000000
χ654444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-200000000000000004411111100000000000000000000-2-211-2-2110000000000000000
χ664444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-4-41111110000000000000000000022-1-122-1-10000000000000000
χ674444-2-244-4-4-4-4-2-2-2-2-2-21111-2-2-2-22222222200000000000000000011-1-1-1-100000000000000000000003-3003-30000000000000000
χ684444-2-244-4-4-4-4-2-2-2-2-2-21111-2-2-2-22222222200000000000000000011-1-1-1-10000000000000000000000-3300-330000000000000000
χ694444-2-2-4-444-4-4-2-2-2-2-2-211112222-2-2-2-22222000000000000000000-1-111-1-100000000000000000000003-300-330000000000000000
χ704444-2-2-4-444-4-4-2-2-2-2-2-211112222-2-2-2-22222000000000000000000-1-111-1-10000000000000000000000-33003-30000000000000000
χ714444-2-2-4-4-4-444-2-2-2-2-2-2111122222222-2-2-2-200000000000000004-4-1-1-1-11100000000000000000000-2-21122-1-10000000000000000
χ724444-2-2-4-4-4-444-2-2-2-2-2-2111122222222-2-2-2-20000000000000000-44-1-1-1-1110000000000000000000022-1-1-2-2110000000000000000
χ7344-4-44-2004i−4i004-4-22-42-2-22200004i−4i−2i2i0000000000002222−22−222i22i2−2i2−2i20000−2i2i00000000000000−2−222−i2−i2i2i2000000000000000000000000
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χ7744-4-4-24004i−4i00-224-42-4-2-2220000−2i2i4i−4i00002222−22−222i22i2−2i2−2i2000000000000−2i2i000000−2−222−i2−i2i2i200000000000000000000000000000000
χ7844-4-4-24004i−4i00-224-42-4-2-2220000−2i2i4i−4i0000−22−222222−2i2−2i22i22i2000000000000−2i2i00000022−2−2i2i2−i2−i200000000000000000000000000000000
χ7944-4-4-2400−4i4i00-224-42-4-2-22200002i−2i−4i4i00002222−22−22−2i2−2i22i22i20000000000002i−2i000000−2−222i2i2−i2−i200000000000000000000000000000000
χ8044-4-4-2400−4i4i00-224-42-4-2-22200002i−2i−4i4i0000−22−2222222i22i2−2i2−2i20000000000002i−2i00000022−2−2−i2−i2i2i200000000000000000000000000000000
χ814-44-44-24i−4i0000-442-2-42-22-224i−4i−2i2i000000000000000022−2222−222i2−2i22i2−2i200−2i2i0000000000000000−22−22−i2i2−i2i2000000000000000000000000
χ824-44-44-24i−4i0000-442-2-42-22-224i−4i−2i2i0000000000000000−2222−2222−2i22i2−2i22i200−2i2i00000000000000002−22−2i2−i2i2−i2000000000000000000000000
χ834-44-44-2−4i4i0000-442-2-42-22-22−4i4i2i−2i000000000000000022−2222−22−2i22i2−2i22i2002i−2i0000000000000000−22−22i2−i2i2−i2000000000000000000000000
χ844-44-44-2−4i4i0000-442-2-42-22-22−4i4i2i−2i0000000000000000−2222−22222i2−2i22i2−2i2002i−2i00000000000000002−22−2−i2i2−i2i2000000000000000000000000
χ854-44-4-244i−4i00002-2-442-4-22-22−2i2i4i−4i0000000022−2222−222i2−2i22i2−2i20000000000−2i2i00000000−22−22−i2i2−i2i200000000000000000000000000000000
χ864-44-4-244i−4i00002-2-442-4-22-22−2i2i4i−4i00000000−2222−2222−2i22i2−2i22i20000000000−2i2i000000002−22−2i2−i2i2−i200000000000000000000000000000000
χ874-44-4-24−4i4i00002-2-442-4-22-222i−2i−4i4i0000000022−2222−22−2i22i2−2i22i200000000002i−2i00000000−22−22i2−i2i2−i200000000000000000000000000000000
χ884-44-4-24−4i4i00002-2-442-4-22-222i−2i−4i4i00000000−2222−22222i2−2i22i2−2i200000000002i−2i000000002−22−2−i2i2−i2i200000000000000000000000000000000
χ894-4-444-200004-4-4-4224-2-222-2000000004-4-220000000000004-4-44000000-220000000000000000-222-2000000000000000000000000
χ904-4-444-200004-4-4-4224-2-222-2000000004-4-22000000000000-444-4000000-2200000000000000002-2-22000000000000000000000000
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χ964-4-44-240000-4422-4-4-24-222-2000000002-2-44-444-40000000000000000002-200002-2-22000000000000000000000000000000000000
χ9788-8-8-4-4008i−8i00-44-444422-2-20000−4i4i−4i4i0000000000000000000000002i−2i0000000000000000000000000000000000000000000000
χ9888-8-8-4-400−8i8i00-44-444422-2-200004i−4i4i−4i000000000000000000000000−2i2i0000000000000000000000000000000000000000000000
χ998-88-8-4-48i−8i00004-44-4442-22-2−4i4i−4i4i000000000000000000000000002i−2i000000000000000000000000000000000000000000000000
χ1008-88-8-4-4−8i8i00004-44-4442-22-24i−4i4i−4i00000000000000000000000000−2i2i000000000000000000000000000000000000000000000000
χ1018-8-88-4-400008-84444-4-42-2-2200000000-44-4400000000000000000000002-200000000000000000000000000000000000000000000
χ1028-8-88-4-40000-884444-4-42-2-22000000004-44-40000000000000000000000-2200000000000000000000000000000000000000000000

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