Finite Group Databasebeta

← #6591572

Subgroups — #6591572

Order 512.

4905 conjugacy classes of subgroups.

The subgroup lattice has 2033 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3484C211yesmaximal, characteristic, complemented
2C2×#3322C211yesmaximal, characteristic, complemented
3C2×#3318C211yesmaximal, characteristic, complemented
4#37846C211yesmaximal, characteristic, complemented
5#32966C211yesmaximal, characteristic, complemented
6#32884C211yesmaximal, characteristic, complemented
7#32878C211yesmaximal, characteristic, complemented
8#25891C211yesmaximal, characteristic, complemented
9#25890C211yesmaximal, characteristic, complemented
10#25867C211yesmaximal, characteristic, complemented
11#24450C211yesmaximal, characteristic, complemented
12#24440C211yesmaximal, characteristic, complemented
13#24440C211yesmaximal, characteristic, complemented
14#24428C211yesmaximal, characteristic, complemented
15#24390C211yesmaximal, characteristic, complemented
16#24388C211yesmaximal, characteristic, complemented
17#24257C211yesmaximal, characteristic, complemented
18#24236C211yesmaximal, characteristic, complemented
19#24218C211yesmaximal, characteristic, complemented
20#24050C211yesmaximal, characteristic, complemented
21#24048C211yesmaximal, characteristic, complemented
22#24044C211yesmaximal, characteristic, complemented
23#24032C211yesmaximal, characteristic, complemented
24#24013C211yesmaximal, characteristic, complemented
25#24008C211yesmaximal, characteristic, complemented
26#22428C211yesmaximal, characteristic, complemented
27#22424C211yesmaximal, characteristic, complemented
28#22400C211yesmaximal, characteristic, complemented
29#21458C211yesmaximal, characteristic, complemented
30#20602C211yesmaximal, characteristic, complemented
31#20598C211yesmaximal, characteristic, complemented
32C22×H(5,𝔽2)C2211yescharacteristic
33C24×D4C2211yescharacteristic
34#3484—28no—
35#3484—28no—
36C2×#553C2211yescharacteristic, complemented
37C2×#546—21no—
38C2×#546—21no—
39C2×#546C2211yescharacteristic
40C2×#546C2211yescharacteristic
41C2×#546C2211yescharacteristic
42C2×#546C2211yescharacteristic
43C2×D42—21no—
44C2×D42—21no—
45C2×D42C2211yescharacteristic
46C2×D42C2211yescharacteristic
47C2×D42C2211yescharacteristic
48C2×D42C2211yescharacteristic
49C2×#535C2211yescharacteristic
50C2×#535C2211yescharacteristic
51C2×#534—21no—
52C2×#534—21no—
53C2×#525C2211yescharacteristic
54C2×#525C2211yescharacteristic
55C22×#120—21no—
56C22×#120—21no—
57C2×#518C2211yescharacteristic
58#3322—28no—
59#3318—28no—
60C2×#490C2211yescharacteristic, complemented
61C2×#488C2211yescharacteristic, complemented
62C2×#481C2211yescharacteristic, complemented
63C2×#485C2211yescharacteristic, complemented
64C2×#482C2211yescharacteristic, complemented
65C2×#480C2211yescharacteristic, complemented
66C2×#478C2211yescharacteristic, complemented
67C2×#478C2211yescharacteristic, complemented
68C2×#469C2211yescharacteristic, complemented
69C2×#469C2211yescharacteristic, complemented
70C2×#468C2211yescharacteristic, complemented
71C2×#466C2211yescharacteristic, complemented
72C2×#463C2211yescharacteristic, complemented
73C2×#459C2211yescharacteristic, complemented
74C2×#449C2211yescharacteristic, complemented
75C2×#449C2211yescharacteristic, complemented
76C2×#449C2211yescharacteristic, complemented
77C2×#447C2211yescharacteristic
78C2×#447C2211yescharacteristic, complemented
79C2×#447C2211yescharacteristic, complemented
80C2×#447C2211yescharacteristic, complemented
81C2×#447C2211yescharacteristic, complemented
82C2×#447C2211yescharacteristic, complemented
83C2×#447C2211yescharacteristic, complemented
84C2×#447C2211yescharacteristic, complemented
85C2×#442C2211yescharacteristic, complemented
86C2×C4×D8C2211yescharacteristic, complemented
87C2×#436C2211yescharacteristic, complemented
88C2×#435C2211yescharacteristic, complemented
89C2×#417C2211yescharacteristic, complemented
90C2×#418C2211yescharacteristic, complemented
91C2×#418C2211yescharacteristic, complemented
92C2×#418C2211yescharacteristic, complemented
93C2×#418C2211yescharacteristic, complemented
94C2×#418C2211yescharacteristic, complemented
95C2×#416C2211yescharacteristic, complemented
96C22×#102C2211yescharacteristic, complemented
97C2×#408C2211yescharacteristic, complemented
98C2×#407C2211yescharacteristic, complemented
99#2847C2211yescharacteristic, complemented
100#2699—21no—
101#2687—21no—
102#2678—21no—
103#2678—21no—
104#2629C2211yescharacteristic, complemented
105#2615C2211yescharacteristic, complemented
106#2562C2211yescharacteristic, complemented
107#2560—21no—
108#2554—21no—
109#2537C2211yescharacteristic, complemented
110#2486C2211yescharacteristic, complemented
111#2485C2211yescharacteristic, complemented
112#2464—21no—
113#2457—21no—
114#2414C2211yescharacteristic, complemented
115#2414C2211yescharacteristic, complemented
116#2354C2211yescharacteristic, complemented
117#2324C2211yescharacteristic, complemented
118#2311C2211yescharacteristic, complemented
119#2280C2211yescharacteristic, complemented
120#2042C2211yescharacteristic, complemented
121#2042C2211yescharacteristic, complemented
122#2042C2211yescharacteristic, complemented
123#2041C2211yescharacteristic, complemented
124#2041C2211yescharacteristic, complemented
125#2041C2211yescharacteristic, complemented
126#2036C2211yescharacteristic, complemented
127#2035C2211yescharacteristic, complemented
128#2035C2211yescharacteristic, complemented
129#2034C2211yescharacteristic, complemented
130#2034C2211yescharacteristic, complemented
131#2034C2211yescharacteristic, complemented
132#2034C2211yescharacteristic, complemented
133#2033C2211yescharacteristic, complemented
134#2033C2211yescharacteristic, complemented
135#2033C2211yescharacteristic, complemented
136#2033C2211yescharacteristic, complemented
137#2033C2211yescharacteristic, complemented
138#2012C2211yescharacteristic, complemented
139#2011C2211yescharacteristic, complemented
140#2000C2211yescharacteristic, complemented
141#1999C2211yescharacteristic, complemented
142#1999C2211yescharacteristic, complemented
143#1999C2211yescharacteristic, complemented
144#1983C2211yescharacteristic, complemented
145#1982C2211yescharacteristic, complemented
146#1959C2211yescharacteristic, complemented
147#1957C2211yescharacteristic, complemented
148#1955C2211yescharacteristic, complemented
149#1954C2211yescharacteristic, complemented
150#1895C2211yescharacteristic, complemented
151#1895C2211yescharacteristic, complemented
152#1894C2211yescharacteristic, complemented
153#1893C2211yescharacteristic, complemented
154#1879C2211yescharacteristic, complemented
155#1879C2211yescharacteristic, complemented
156#1875C2211yescharacteristic, complemented
157#1875C2211yescharacteristic, complemented
158#1875C2211yescharacteristic, complemented
159#1875C2211yescharacteristic, complemented
160#1873C2211yescharacteristic, complemented
161#1870C2211yescharacteristic, complemented
162#1870C2211yescharacteristic, complemented
163#1870C2211yescharacteristic, complemented
164#1869C2211yescharacteristic, complemented
165#1864C2211yescharacteristic, complemented
166#1864C2211yescharacteristic, complemented
167#1864C2211yescharacteristic, complemented
168#1862C2211yescharacteristic, complemented
169#1862C2211yescharacteristic, complemented
170#1862C2211yescharacteristic, complemented
171#1854C2211yescharacteristic, complemented
172#1854C2211yescharacteristic, complemented
173#1854C2211yescharacteristic, complemented
174#1802C2211yescharacteristic, complemented
175#1802C2211yescharacteristic, complemented
176#1798C2211yescharacteristic, complemented
177#1788C2211yescharacteristic, complemented
178#1788C2211yescharacteristic, complemented
179#1788C2211yescharacteristic, complemented
180#1788C2211yescharacteristic, complemented
181#1788C2211yescharacteristic, complemented
182#1788C2211yescharacteristic, complemented
183#1788C2211yescharacteristic, complemented
184#1786C2211yescharacteristic
185#1786C2211yescharacteristic
186#1786C2211yescharacteristic
187#1786C2211yescharacteristic, complemented
188#1786C2211yescharacteristic, complemented
189#1786C2211yescharacteristic, complemented
190#1786C2211yescharacteristic, complemented
191#1786C2211yescharacteristic, complemented
192#1786C2211yescharacteristic, complemented
193#1786C2211yescharacteristic, complemented
194#1786C2211yescharacteristic, complemented
195#1786C2211yescharacteristic, complemented
196#1786C2211yescharacteristic, complemented
197#1786C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1786C2211yescharacteristic, complemented
202#1780C2211yescharacteristic, complemented
203#1779C2211yescharacteristic, complemented
204#1762C2211yescharacteristic, complemented
205C4×#102C2211yescharacteristic, complemented
206#1750C2211yescharacteristic, complemented
207C26—21no—
208C2×H(5,𝔽2)—24no—
209C2×H(5,𝔽2)—24no—
210C2×H(5,𝔽2)—24no—
211C2×H(5,𝔽2)—42no—
212C2×H(5,𝔽2)—42no—
213C2×H(5,𝔽2)—42no—
214C22×#41—21no—
215C22×#41C2311yescharacteristic
216C22×#41C2311yescharacteristic
217C22×#41C2311yescharacteristic
218C22×#41C2311yescharacteristic
219C23×D4—24no—
220C23×D4—24no—
221C23×D4—21no—
222C23×D4—21no—
223C23×D4—21no—
224C23×D4—21no—
225C23×D4—21no—
226C23×D4—21no—
227C23×D4—21no—
228C23×D4—24no—
229C23×D4—21no—
230C23×D4—21no—
231C23×D4—21no—
232C23×D4—42no—
233C23×D4—42no—
234C23×D4—42no—
235C23×D4C2311yescharacteristic
236C23×D4C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2311yescharacteristic
239C23×D4C2311yescharacteristic
240C23×D4C2311yescharacteristic
241C23×D4C2311yescharacteristic
242C23×D4C2311yescharacteristic
243C24×C4C2311yescharacteristic
244C22×SD16C2311yescharacteristic, complemented
245C22×D8C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×D8C2311yescharacteristic
248C22×D8C2311yescharacteristic
249C22×D8C2311yescharacteristic, complemented
250C22×M16C2311yescharacteristic
251C22×M16C2311yescharacteristic
252C22×M16C2311yescharacteristic, complemented
253C23×C8C2311yescharacteristic, complemented
254#553—24no—
255#553—24no—
256#546—216no—
257#546—216no—
258#546—24no—
259#546—24no—
260#546—24no—
261#546—24no—
262#546—24no—
263#546—24no—
264#546—24no—
265#546D418yescomplemented
266D42—216no—
267D42—216no—
268D42—24no—
269D42—24no—
270D42—24no—
271D42—24no—
272D42—24no—
273D42—24no—
274D42—24no—
275D42D418yescomplemented
276#535—24no—
277#535—24no—
278#535—24no—
279#535—24no—
280#534—216no—
281#534—216no—
282C2×#127—21no—
283C2×#127C2311yescharacteristic
284C2×#127C2311yescharacteristic
285C2×#126—21no—
286C2×#125C2311yescharacteristic, complemented
287C2×#124—21no—
288C2×#124C2311yescharacteristic
289C2×#124C2311yescharacteristic
290#525—24no—
291#525—24no—
292#525—24no—
293#525—24no—
294C2×#123—21no—
295C2×#123—21no—
296C2×#123—21no—
297C2×#123—21no—
298C2×#123—21no—
299C2×#123—21no—
300C2×#123—21no—
301C2×#123D411yescharacteristic
302C2×#123D411yescharacteristic
303C2×C22⋊Q8D411yescharacteristic
304C2×C22⋊Q8D411yescharacteristic
305C2×C22⋊Q8C2311yescharacteristic
306C2×C22⋊Q8C2311yescharacteristic
307C2×#121—21no—
308C2×#121—21no—
309C2×#121—21no—
310C2×#121—21no—
311C2×#121—21no—
312C2×#121—21no—
313C2×#121—21no—
314C2×#121—21no—
315C2×#121—21no—
316C2×#121—21no—
317C2×#121—21no—
318C2×#121—21no—
319C2×#121D411yescharacteristic
320C2×#121D411yescharacteristic
321C2×#121C2311yescharacteristic
322C2×#121C2311yescharacteristic
323C2×#121C2311yescharacteristic
324C2×#121C2311yescharacteristic
325C2×#121C2311yescharacteristic
326C2×#121C2311yescharacteristic
327C2×#121C2311yescharacteristic
328C2×#121C2311yescharacteristic
329C2×#121C2311yescharacteristic
330C2×#121C2311yescharacteristic, complemented
331C2×#121C2311yescharacteristic, complemented
332C2×#120—216no—
333C2×#120—216no—
334C2×#120—21no—
335C2×#120—21no—
336C2×#120—21no—
337C2×#120—21no—
338C2×#120—21no—
339C2×#120—21no—
340C2×#120—21no—
341C2×#120—21no—
342C2×#120—21no—
343C2×#120—21no—
344C2×#120—21no—
345C2×#120—21no—
346C2×#120—21no—
347C2×#120—21no—
348C2×#120—21no—
349C2×#120—21no—
350C2×#120—21no—
351C2×#120—21no—
352C2×#120D411yescharacteristic
353C2×#120D411yescharacteristic
354#518—24no—
355#518—24no—
356C2×C4×D4—21no—
357C2×C4×D4—21no—
358C2×C4×D4—21no—
359C2×C4×D4—21no—
360C2×C4×D4—21no—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic, complemented
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic, complemented
375C22×C4⋊C4C2311yescharacteristic, complemented
376C22×C22⋊C4—21no—
377C22×C22⋊C4—21no—
378C22×C22⋊C4—21no—
379C22×C22⋊C4—21no—
380C22×C22⋊C4—21no—
381C22×C22⋊C4—21no—
382#490—24no—
383#488—24no—
384#485—24no—
385#482—24no—
386#481—24no—
387#480—24no—
388#478—24no—
389#478—24no—
390#469—24no—
391#469—24no—
392#468—24no—
393#466—24no—
394#463—24no—
395#459—24no—
396#449—24no—
397#449—42no—
398#449—42no—
399#447—24no—
400#447—24no—
401#447—24no—
402#447—24no—
403#447—42no—
404#447—42no—
405#447—42no—
406#447—42no—
407#442—24no—
408C4×D8—24no—
409#436—24no—
410#435—24no—
411C2×#107C2311yescharacteristic, complemented
412C2×#107C2311yescharacteristic, complemented
413C2×#107C2311yescharacteristic, complemented
414C2×#106C2311yescharacteristic, complemented
415C2×#106C2311yescharacteristic, complemented
416C2×#106C2311yescharacteristic, complemented
417C2×C4⋊C8C2311yescharacteristic, complemented
418C2×C4⋊C8C2311yescharacteristic, complemented
419#418—24no—
420#418—24no—
421#418—42no—
422#418—42no—
423#418—42no—
424#417—24no—
425#416—42no—
426C2×#103C2311yescharacteristic, complemented
427C2×#103C2311yescharacteristic, complemented
428C2×#103C2311yescharacteristic, complemented
429C2×#103C2311yescharacteristic, complemented
430C2×#103C2311yescharacteristic, complemented
431C2×#103C2311yescharacteristic, complemented
432C2×#103C2311yescharacteristic, complemented
433C2×#102—24no—
434C2×#102C2311yescharacteristic
435C2×#102C2311yescharacteristic
436C2×#102C2311yescharacteristic
437C2×#102C2311yescharacteristic
438C2×#102C2311yescharacteristic
439C2×#102C2311yescharacteristic
440C2×#102C2311yescharacteristic
441C2×#102C2311yescharacteristic
442C2×#102C2311yescharacteristic
443C2×#102C2311yescharacteristic
444C2×#102C2311yescharacteristic
445C2×#102C2311yescharacteristic
446C2×#102C2311yescharacteristic
447C2×#102C2311yescharacteristic
448C2×#102C2311yescharacteristic
449C2×#102C2311yescharacteristic
450C2×#102C2311yescharacteristic
451C2×#102C2311yescharacteristic
452C2×#102C2311yescharacteristic
453C2×#102C2311yescharacteristic
454C2×#102C2311yescharacteristic
455C2×#102C2311yescharacteristic
456C2×#102C2311yescharacteristic
457C2×#102C2311yescharacteristic
458C2×#102C2311yescharacteristic
459C2×#102C2311yescharacteristic
460C2×#102C2311yescharacteristic
461C2×#102C2311yescharacteristic
462C2×#102C2311yescharacteristic, complemented
463C2×#102C2311yescharacteristic, complemented
464C2×#102C2311yescharacteristic, complemented
465C2×#102C2311yescharacteristic, complemented
466C2×#102C2311yescharacteristic, complemented
467C2×#102C2311yescharacteristic, complemented
468C2×#102C2311yescharacteristic, complemented
469C2×#102C2311yescharacteristic, complemented
470C2×#102C2311yescharacteristic, complemented
471#408—42no—
472#407—42no—
473C2×C22⋊C8C2311yescharacteristic
474C2×C22⋊C8C2311yescharacteristic
475C2×C22⋊C8C2311yescharacteristic
476C2×C22⋊C8C2311yescharacteristic
477C2×C22⋊C8C2311yescharacteristic
478C2×C22⋊C8C2311yescharacteristic
479C2×C22⋊C8C2311yescharacteristic
480C2×C22⋊C8C2311yescharacteristic
481C2×C22⋊C8C2311yescharacteristic
482C2×C22⋊C8C2311yescharacteristic
483C2×C22⋊C8C2311yescharacteristic, complemented
484C2×C22⋊C8C2311yescharacteristic, complemented
485C2×C22⋊C8C2311yescharacteristic, complemented
486C2×C22⋊C8C2311yescharacteristic, complemented
487C2×C22⋊C8C2311yescharacteristic, complemented
488C2×C22⋊C8C2311yescharacteristic, complemented
489C2×#97C2311yescharacteristic, complemented
490C2×C4×C8C2311yescharacteristic, complemented
491#400—21no—
492#398—21no—
493#398—21no—
494#398—21no—
495#397—21no—
496#397—21no—
497#396—21no—
498#396—21no—
499#394—21no—
500#394—21no—
501#394—21no—
502#394—21no—
503#394—21no—
504#394—21no—
505#393—21no—
506#392—21no—
507#392—21no—
508#392—21no—
509#392—21no—
510#392—21no—
511#391—21no—
512#390—21no—
513#390—21no—
514#390—21no—
515#390—21no—
516#390—21no—
517#390C2311yescharacteristic, complemented
518#389C2311yescharacteristic, complemented
519#389C2311yescharacteristic, complemented
520#389C2311yescharacteristic, complemented
521#388—21no—
522#388—21no—
523#388—21no—
524#388—21no—
525#388—21no—
526#388—21no—
527#388—21no—
528#388—21no—
529#387—21no—
530#386—21no—
531#386—21no—
532#386—21no—
533#386—21no—
534#386—21no—
535#386—21no—
536#385—21no—
537#384C2311yescharacteristic, complemented
538#381—21no—
539#381—21no—
540#380—21no—
541#380C2311yescharacteristic
542#380C2311yescharacteristic
543#380C2311yescharacteristic
544#380C2311yescharacteristic
545#380C2311yescharacteristic
546#380C2311yescharacteristic
547#380C2311yescharacteristic
548#380C2311yescharacteristic, complemented
549#380C2311yescharacteristic, complemented
550#380C2311yescharacteristic, complemented
551#380C2311yescharacteristic, complemented
552#379—21no—
553C4×C4⋊C4—21no—
554C4×C4⋊C4C2311yescharacteristic, complemented
555C4×C22⋊C4—21no—
556C4×C22⋊C4—21no—
557#340C2311yescharacteristic, complemented
558#340C2311yescharacteristic, complemented
559#340C2311yescharacteristic, complemented
560#340C2311yescharacteristic, complemented
561#340C2311yescharacteristic, complemented
562#340C2311yescharacteristic, complemented
563#340C2311yescharacteristic, complemented
564#340C2311yescharacteristic, complemented
565#336C2311yescharacteristic, complemented
566#336C2311yescharacteristic, complemented
567#336C2311yescharacteristic, complemented
568#336C2311yescharacteristic, complemented
569C25—21no—
570C25—28no—
571C25—21no—
572C25—21no—
573C25—21no—
574C25—21no—
575C25—21no—
576C25—21no—
577C25—21no—
578C25—44no—
579C25—44no—
580C25—82no—
581C25—82no—
582C25—82no—
583C25—82no—
584C25C2×D411yescharacteristic
585H(5,𝔽2)—416no—
586H(5,𝔽2)—416no—
587H(5,𝔽2)—416no—
588H(5,𝔽2)—416no—
589C2×#41—28no—
590C2×#41—22no—
591C2×#41—22no—
592C2×#41—22no—
593C2×#41—22no—
594C2×#41—22no—
595C2×#41—22no—
596C2×#41—22no—
597C2×#41—22no—
598C2×#41—22no—
599C2×#41—22no—
600C2×#41—22no—
601C2×#41—22no—
602C2×#41—22no—
603C2×#41—22no—
604C2×#41—22no—
605C2×#41—41no—
606C2×#41—41no—
607C2×#41—41no—
608C2×#41—41no—
609C2×#41—41no—
610C2×#41—41no—
611C2×#41—41no—
612C2×#41—41no—
613C2×#41—44no—
614C2×#41—44no—
615C2×#41C2×D414yes—
616C22×Q8C2×D411yescharacteristic
617C22×Q8C2411yescharacteristic
618C22×D4—22no—
619C22×D4—22no—
620C22×D4—22no—
621C22×D4—22no—
622C22×D4—22no—
623C22×D4—22no—
624C22×D4—22no—
625C22×D4—22no—
626C22×D4—22no—
627C22×D4—22no—
628C22×D4—28no—
629C22×D4—28no—
630C22×D4—28no—
631C22×D4—28no—
632C22×D4—28no—
633C22×D4—28no—
634C22×D4—21no—
635C22×D4—21no—
636C22×D4—21no—
637C22×D4—21no—
638C22×D4—21no—
639C22×D4—28no—
640C22×D4—28no—
641C22×D4—28no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—21no—
645C22×D4—21no—
646C22×D4—22no—
647C22×D4—22no—
648C22×D4—22no—
649C22×D4—22no—
650C22×D4—22no—
651C22×D4—22no—
652C22×D4—22no—
653C22×D4—22no—
654C22×D4—28no—
655C22×D4—22no—
656C22×D4—22no—
657C22×D4—22no—
658C22×D4—22no—
659C22×D4—22no—
660C22×D4—22no—
661C22×D4—21no—
662C22×D4—21no—
663C22×D4—21no—
664C22×D4—21no—
665C22×D4—21no—
666C22×D4—21no—
667C22×D4—21no—
668C22×D4—21no—
669C22×D4—21no—
670C22×D4—21no—
671C22×D4—21no—
672C22×D4—21no—
673C22×D4—21no—
674C22×D4—22no—
675C22×D4—22no—
676C22×D4—22no—
677C22×D4—21no—
678C22×D4—21no—
679C22×D4—21no—
680C22×D4—21no—
681C22×D4—22no—
682C22×D4—22no—
683C22×D4—22no—
684C22×D4—41no—
685C22×D4—41no—
686C22×D4—41no—
687C22×D4—41no—
688C22×D4—41no—
689C22×D4—41no—
690C22×D4—41no—
691C22×D4—41no—
692C22×D4—41no—
693C22×D4—41no—
694C22×D4—41no—
695C22×D4—41no—
696C22×D4—41no—
697C22×D4—41no—
698C22×D4—44no—
699C22×D4—44no—
700C22×D4—44no—
701C22×D4—416no—
702C22×D4—416no—
703C22×D4—44no—
704C22×D4—44no—
705C22×D4—44no—
706C22×D4—44no—
707C22×D4—44no—
708C22×D4—416no—
709C22×D4—416no—
710C22×D4—44no—
711C22×D4—44no—
712C22×D4—44no—
713C22×D4—44no—
714C22×D4—82no—
715C22×D4—82no—
716C22×D4—82no—
717C22×D4—82no—
718C22×D4—82no—
719C22×D4—82no—
720C22×D4—82no—
721C22×D4—82no—
722C22×D4C2×D411yescharacteristic
723C22×D4C2×D411yescharacteristic
724C22×D4C2×D411yescharacteristic
725C22×D4C2×D411yescharacteristic
726C22×D4C2×D411yescharacteristic
727C22×D4C2×D414yes—
728C22×D4C2×D414yes—
729C22×D4C2×D414yes—
730C22×D4C2×D411yescharacteristic
731C22×D4C2×D411yescharacteristic
732C22×D4#4114yes—
733C22×D4C2411yescharacteristic
734C22×D4C2411yescharacteristic
735C22×D4C2411yescharacteristic
736C22×D4C2411yescharacteristic
737C22×D4C2411yescharacteristic
738C22×D4C2411yescharacteristic
739C23×C4—21no—
740C23×C4—21no—
741C23×C4—21no—
742C23×C4—22no—
743C23×C4—22no—
744C23×C4—22no—
745C23×C4—22no—
746C23×C4—21no—
747C23×C4—21no—
748C23×C4—21no—
749C23×C4—21no—
750C23×C4—21no—
751C23×C4—21no—
752C23×C4—41no—
753C23×C4—41no—
754C23×C4C2×D411yescharacteristic
755C23×C4C2×D411yescharacteristic
756C23×C4C2×D411yescharacteristic
757C23×C4C2411yescharacteristic
758C23×C4C2411yescharacteristic
759C23×C4C2411yescharacteristic
760C23×C4C2411yescharacteristic
761C23×C4C2411yescharacteristic
762C2×SD16—22no—
763C2×SD16—41no—
764C2×SD16—41no—
765C2×D8—22no—
766C2×D8—22no—
767C2×D8—22no—
768C2×D8—22no—
769C2×D8—22no—
770C2×D8—22no—
771C2×D8—22no—
772C2×D8—22no—
773C2×D8—22no—
774C2×D8—41no—
775C2×D8—41no—
776C2×D8—41no—
777C2×D8—41no—
778C2×D8—41no—
779C2×D8—41no—
780C2×M16—22no—
781C2×M16—22no—
782C2×M16—22no—
783C2×M16—41no—
784C2×M16—41no—
785C2×M16—41no—
786C2×M16—41no—
787C2×M16—41no—
788C2×M16—41no—
789C22×C8—22no—
790C22×C8—41no—
791C22×C8—41no—
792C22×C8C2411yescharacteristic
793C22×C8C2411yescharacteristic
794C22×C8C2411yescharacteristic
795C22×C8C2411yescharacteristic
796C22×C8C2411yescharacteristic
797C22×C8C2411yescharacteristic
798C22×C8C2411yescharacteristic
799C22×C8C2411yescharacteristic
800#127—28no—
801#127—22no—
802#127—22no—
803#127—22no—
804#127C2×D414yes—
805#126—44no—
806#125—22no—
807#125—22no—
808#124—28no—
809#124—22no—
810#124—22no—
811#124—22no—
812#124C2×D414yes—
813#123—28no—
814#123—28no—
815#123—28no—
816#123—28no—
817#123—28no—
818#123—24no—
819#123—24no—
820#123—44no—
821#123—82no—
822C22⋊Q8—22no—
823C22⋊Q8—22no—
824C22⋊Q8—24no—
825C22⋊Q8—22no—
826C22⋊Q8—24no—
827C22⋊Q8C2×D414yes—
828#121—28no—
829#121—28no—
830#121—28no—
831#121—28no—
832#121—28no—
833#121—28no—
834#121—28no—
835#121—28no—
836#121—24no—
837#121—22no—
838#121—22no—
839#121—22no—
840#121—22no—
841#121—22no—
842#121—22no—
843#121—28no—
844#121—22no—
845#121—22no—
846#121—22no—
847#121—28no—
848#121—24no—
849#121—22no—
850#121—22no—
851#121—22no—
852#121—22no—
853#121—22no—
854#121—22no—
855#121—44no—
856#121—41no—
857#121—41no—
858#121—41no—
859#121—41no—
860#121—82no—
861#121C2×D414yes—
862#121C2×D414yes—
863#121C2×D414yes—
864#120—28no—
865#120—28no—
866#120—28no—
867#120—28no—
868#120—28no—
869#120—28no—
870#120—28no—
871#120—28no—
872#120—28no—
873#120—28no—
874#120—28no—
875#120—28no—
876#120—28no—
877#120—28no—
878#120—24no—
879#120—28no—
880#120—24no—
881#120—28no—
882#120—28no—
883#120—82no—
884C4×D4—28no—
885C4×D4—28no—
886C4×D4—28no—
887C4×D4—28no—
888C4×D4—22no—
889C4×D4—22no—
890C4×D4—22no—
891C4×D4—22no—
892C4×D4—22no—
893C4×D4—22no—
894C4×D4—22no—
895C4×D4—22no—
896C4×D4—22no—
897C4×D4—22no—
898C4×D4—22no—
899C4×D4—22no—
900C4×D4—22no—
901C4×D4—22no—
902C4×D4—44no—
903C4×D4C2×D414yes—
904C4×D4C2×D414yes—
905C4×D4C2×D414yes—
906C4×D4C2×D414yes—
907#117—22no—
908#117—22no—
909#117—22no—
910#117—22no—
911#117—22no—
912#117—22no—
913#117—41no—
914#117—41no—
915#117—41no—
916#117—41no—
917C2×C4⋊C4—21no—
918C2×C4⋊C4—21no—
919C2×C4⋊C4—22no—
920C2×C4⋊C4—22no—
921C2×C4⋊C4—21no—
922C2×C4⋊C4—21no—
923C2×C4⋊C4—21no—
924C2×C4⋊C4—21no—
925C2×C4⋊C4—21no—
926C2×C4⋊C4—21no—
927C2×C4⋊C4—21no—
928C2×C4⋊C4—21no—
929C2×C4⋊C4C2×D411yescharacteristic
930C2×C4⋊C4C2×D411yescharacteristic
931C2×C4⋊C4C2×D411yescharacteristic
932C2×C4⋊C4C2×D411yescharacteristic
933C2×C4⋊C4C2×D411yescharacteristic
934C2×C4⋊C4C2×D411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C22⋊C4—28no—
945C2×C22⋊C4—28no—
946C2×C22⋊C4—28no—
947C2×C22⋊C4—28no—
948C2×C22⋊C4—28no—
949C2×C22⋊C4—21no—
950C2×C22⋊C4—21no—
951C2×C22⋊C4—21no—
952C2×C22⋊C4—21no—
953C2×C22⋊C4—21no—
954C2×C22⋊C4—21no—
955C2×C22⋊C4—21no—
956C2×C22⋊C4—21no—
957C2×C22⋊C4—21no—
958C2×C22⋊C4—21no—
959C2×C22⋊C4—21no—
960C2×C22⋊C4—21no—
961C2×C22⋊C4—21no—
962C2×C22⋊C4—21no—
963C2×C22⋊C4—21no—
964C2×C22⋊C4—21no—
965C2×C22⋊C4—21no—
966C2×C22⋊C4—28no—
967C2×C22⋊C4—21no—
968C2×C22⋊C4—21no—
969C2×C22⋊C4—21no—
970C2×C22⋊C4—21no—
971C2×C22⋊C4—21no—
972C2×C22⋊C4—21no—
973C2×C22⋊C4—21no—
974C2×C22⋊C4—21no—
975C2×C22⋊C4—21no—
976C2×C22⋊C4—21no—
977C2×C22⋊C4—21no—
978C2×C22⋊C4—21no—
979C2×C22⋊C4—21no—
980C2×C22⋊C4—21no—
981C2×C22⋊C4—21no—
982C2×C22⋊C4—21no—
983C2×C22⋊C4—21no—
984C2×C22⋊C4—21no—
985C2×C22⋊C4—21no—
986C2×C22⋊C4—21no—
987C2×C22⋊C4—21no—
988C2×C22⋊C4—21no—
989C2×C22⋊C4C2×D411yescharacteristic
990C2×C22⋊C4C2×D411yescharacteristic
991C2×C22⋊C4C2×D411yescharacteristic
992C2×C22⋊C4C2×D411yescharacteristic
993C2×C22⋊C4C2×D411yescharacteristic
994C2×C22⋊C4C2×D411yescharacteristic
995C2×C22⋊C4C2×D411yescharacteristic
996C2×C22⋊C4C2×D411yescharacteristic
997C2×C22⋊C4C2×D411yescharacteristic
998C2×C22⋊C4C2×D411yescharacteristic
999C2×C42—21no—
1000C2×C42—21no—
1001C2×C42—21no—
1002C2×C42—21no—
1003C2×C42—21no—
1004C2×C42C2411yescharacteristic
1005C2×C42C2411yescharacteristic
1006#107—22no—
1007#107—22no—
1008#107—22no—
1009#106—22no—
1010#106—22no—
1011#106—22no—
1012C4⋊C8—22no—
1013C4⋊C8—22no—
1014#103—22no—
1015#103—22no—
1016#103—22no—
1017#103—41no—
1018#103—41no—
1019#103—41no—
1020#103—41no—
1021#102—22no—
1022#102—22no—
1023#102—22no—
1024#102—22no—
1025#102—22no—
1026#102—22no—
1027#102—22no—
1028#102—22no—
1029#102—22no—
1030#102—22no—
1031#102—22no—
1032#102—22no—
1033#102—22no—
1034#102—22no—
1035#102—22no—
1036#102—22no—
1037#102—22no—
1038#102—22no—
1039#102—22no—
1040#102—22no—
1041#102—22no—
1042#102—22no—
1043#102—22no—
1044#102—22no—
1045#102—22no—
1046#102—41no—
1047#102—41no—
1048#102—41no—
1049#102—41no—
1050#102—41no—
1051#102—41no—
1052#102—41no—
1053#102—41no—
1054#102—41no—
1055#102—41no—
1056#102—41no—
1057#102—41no—
1058C22⋊C8—22no—
1059C22⋊C8—22no—
1060C22⋊C8—22no—
1061C22⋊C8—22no—
1062C22⋊C8—22no—
1063C22⋊C8—22no—
1064C22⋊C8—22no—
1065C22⋊C8—22no—
1066C22⋊C8—41no—
1067C22⋊C8—41no—
1068C22⋊C8—41no—
1069C22⋊C8—41no—
1070C22⋊C8—41no—
1071C22⋊C8—41no—
1072C22⋊C8—41no—
1073C22⋊C8—41no—
1074#97—22no—
1075C4×C8—22no—
1076#95—21no—
1077#95—21no—
1078#95—21no—
1079#95—21no—
1080#95—21no—
1081#95—21no—
1082#95—21no—
1083#95—21no—
1084#95—21no—
1085#95—21no—
1086#95—21no—
1087#95—21no—
1088#95—21no—
1089#95—21no—
1090#95—21no—
1091C24—24no—
1092C24—24no—
1093C24—21no—
1094C24—21no—
1095C24—24no—
1096C24—24no—
1097C24—24no—
1098C24—24no—
1099C24—24no—
1100C24—22no—
1101C24—22no—
1102C24—22no—
1103C24—21no—
1104C24—21no—
1105C24—21no—
1106C24—24no—
1107C24—24no—
1108C24—24no—
1109C24—21no—
1110C24—41no—
1111C24—41no—
1112C24—41no—
1113C24—41no—
1114C24—42no—
1115C24—42no—
1116C24—42no—
1117C24—42no—
1118C24—42no—
1119C24—42no—
1120C24—42no—
1121C24—42no—
1122C24—42no—
1123C24—42no—
1124C24—42no—
1125C24—42no—
1126C24—432no—
1127C24—42no—
1128C24—42no—
1129C24—42no—
1130C24—42no—
1131C24—42no—
1132C24—42no—
1133C24—42no—
1134C24—42no—
1135C24—42no—
1136C24—42no—
1137C24—81no—
1138C24—81no—
1139C24—81no—
1140C24—81no—
1141C24—81no—
1142C24—81no—
1143C24—81no—
1144C24—81no—
1145C24—81no—
1146C24—81no—
1147C24—81no—
1148C24—81no—
1149C24—81no—
1150C24—81no—
1151C24—81no—
1152C24—81no—
1153C24—81no—
1154C24—81no—
1155C24—81no—
1156C24—81no—
1157C24—81no—
1158C24—81no—
1159C24—81no—
1160C24—81no—
1161C24—816no—
1162C24—816no—
1163C24—816no—
1164C24—816no—
1165C24—816no—
1166C24—816no—
1167C24C22×D411yescharacteristic
1168C24C22×D411yescharacteristic
1169C24C22×D411yescharacteristic
1170C24C22×D411yescharacteristic
1171C24C22×D411yescharacteristic
1172#41—28no—
1173#41—44no—
1174#41—44no—
1175#41—44no—
1176#41—44no—
1177#41—44no—
1178#41—44no—
1179#41—44no—
1180#41—44no—
1181#41—44no—
1182#41—44no—
1183#41—44no—
1184#41—44no—
1185#41—44no—
1186#41—432no—
1187#41—44no—
1188#41—44no—
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—21no—
1192C2×Q8—21no—
1193C2×Q8—21no—
1194C2×Q8—21no—
1195C2×Q8—21no—
1196C2×Q8—41no—
1197C2×Q8C22×D412yes—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—28no—
1201C2×D4—28no—
1202C2×D4—28no—
1203C2×D4—28no—
1204C2×D4—28no—
1205C2×D4—28no—
1206C2×D4—28no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—24no—
1217C2×D4—22no—
1218C2×D4—24no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—22no—
1239C2×D4—21no—
1240C2×D4—21no—
1241C2×D4—21no—
1242C2×D4—21no—
1243C2×D4—21no—
1244C2×D4—21no—
1245C2×D4—21no—
1246C2×D4—21no—
1247C2×D4—21no—
1248C2×D4—21no—
1249C2×D4—21no—
1250C2×D4—21no—
1251C2×D4—21no—
1252C2×D4—21no—
1253C2×D4—21no—
1254C2×D4—21no—
1255C2×D4—21no—
1256C2×D4—21no—
1257C2×D4—21no—
1258C2×D4—21no—
1259C2×D4—21no—
1260C2×D4—21no—
1261C2×D4—21no—
1262C2×D4—21no—
1263C2×D4—21no—
1264C2×D4—21no—
1265C2×D4—21no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—41no—
1280C2×D4—41no—
1281C2×D4—41no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—41no—
1285C2×D4—41no—
1286C2×D4—41no—
1287C2×D4—41no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—42no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—432no—
1308C2×D4—432no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—432no—
1312C2×D4—44no—
1313C2×D4—42no—
1314C2×D4—42no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—432no—
1318C2×D4—42no—
1319C2×D4—432no—
1320C2×D4—432no—
1321C2×D4—42no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—42no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—42no—
1330C2×D4—42no—
1331C2×D4—42no—
1332C2×D4—42no—
1333C2×D4—42no—
1334C2×D4—81no—
1335C2×D4—81no—
1336C2×D4—81no—
1337C2×D4—81no—
1338C2×D4—81no—
1339C2×D4—81no—
1340C2×D4—81no—
1341C2×D4—81no—
1342C2×D4—81no—
1343C2×D4—81no—
1344C2×D4—81no—
1345C2×D4—81no—
1346C2×D4—81no—
1347C2×D4—81no—
1348C2×D4—81no—
1349C2×D4—81no—
1350C2×D4—81no—
1351C2×D4—81no—
1352C2×D4—81no—
1353C2×D4—81no—
1354C2×D4—81no—
1355C2×D4—81no—
1356C2×D4—81no—
1357C2×D4—81no—
1358C2×D4—81no—
1359C2×D4—81no—
1360C2×D4—81no—
1361C2×D4—816no—
1362C2×D4—816no—
1363C2×D4—816no—
1364C2×D4—816no—
1365C2×D4#12014yes—
1366C2×D4C22×D412yes—
1367C2×D4C22×D412yes—
1368C2×D4C22×D412yes—
1369C2×D4C22×D412yes—
1370C2×D4C22×D412yes—
1371C2×D4C2×#4112yes—
1372C2×D4C2×#4112yes—
1373C2×D4H(5,𝔽2)12yes—
1374C2×D4H(5,𝔽2)12yes—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—24no—
1388C22×C4—24no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—24no—
1395C22×C4—24no—
1396C22×C4—24no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—24no—
1414C22×C4—24no—
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—41no—
1423C22×C4—41no—
1424C22×C4—41no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4—44no—
1428C22×C4—44no—
1429C22×C4—42no—
1430C22×C4—42no—
1431C22×C4—42no—
1432C22×C4—42no—
1433C22×C4—42no—
1434C22×C4—42no—
1435C22×C4—42no—
1436C22×C4—42no—
1437C22×C4—81no—
1438C22×C4—81no—
1439C22×C4—81no—
1440C22×C4—81no—
1441C22×C4—81no—
1442C22×C4—81no—
1443C22×C4—81no—
1444C22×C4—81no—
1445C22×C4—81no—
1446C22×C4—81no—
1447C22×C4—81no—
1448C22×C4—81no—
1449C22×C4C22×D411yescharacteristic
1450C22×C4C22×D411yescharacteristic
1451C22×C4C22×D411yescharacteristic
1452C22×C4C22×D411yescharacteristic
1453C22×C4C22×D411yescharacteristic
1454C22×C4C22×D411yescharacteristic
1455C22×C4C22×D411yescharacteristic
1456C22×C4C22×D411yescharacteristic
1457C22×C4C22×D412yes—
1458C22×C4C22×D412yes—
1459C22×C4C22×D412yes—
1460C22×C4C22×D412yes—
1461C22×C4C22×D411yescharacteristic
1462C22×C4C2×#4112yes—
1463C22×C4H(5,𝔽2)12yes—
1464C22×C4C2511yescharacteristic
1465SD16—82no—
1466D8—44no—
1467D8—44no—
1468D8—82no—
1469D8—82no—
1470D8—82no—
1471M16—82no—
1472M16—82no—
1473M16—82no—
1474C2×C8—21no—
1475C2×C8—21no—
1476C2×C8—21no—
1477C2×C8—21no—
1478C2×C8—21no—
1479C2×C8—21no—
1480C2×C8—21no—
1481C2×C8—21no—
1482C2×C8—21no—
1483C2×C8—21no—
1484C2×C8—21no—
1485C2×C8—21no—
1486C2×C8—21no—
1487C2×C8—21no—
1488C2×C8—21no—
1489C2×C8—21no—
1490C2×C8—21no—
1491C2×C8—21no—
1492C2×C8—21no—
1493C2×C8—21no—
1494C2×C8—21no—
1495C2×C8—21no—
1496C2×C8—21no—
1497C2×C8—21no—
1498C2×C8—82no—
1499C4⋊C4—24no—
1500C4⋊C4—24no—
1501C4⋊C4—22no—
1502C4⋊C4—22no—
1503C4⋊C4—22no—
1504C4⋊C4—22no—
1505C4⋊C4—22no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—21no—
1521C4⋊C4—21no—
1522C4⋊C4—42no—
1523C4⋊C4—42no—
1524C4⋊C4—42no—
1525C4⋊C4—81no—
1526C4⋊C4—81no—
1527C4⋊C4—81no—
1528C4⋊C4—81no—
1529C4⋊C4—81no—
1530C4⋊C4#12014yes—
1531C4⋊C4C22×D412yes—
1532C4⋊C4C22×D412yes—
1533C22⋊C4—24no—
1534C22⋊C4—24no—
1535C22⋊C4—24no—
1536C22⋊C4—24no—
1537C22⋊C4—24no—
1538C22⋊C4—24no—
1539C22⋊C4—24no—
1540C22⋊C4—24no—
1541C22⋊C4—24no—
1542C22⋊C4—24no—
1543C22⋊C4—22no—
1544C22⋊C4—22no—
1545C22⋊C4—22no—
1546C22⋊C4—22no—
1547C22⋊C4—22no—
1548C22⋊C4—22no—
1549C22⋊C4—24no—
1550C22⋊C4—24no—
1551C22⋊C4—24no—
1552C22⋊C4—24no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—24no—
1556C22⋊C4—22no—
1557C22⋊C4—22no—
1558C22⋊C4—42no—
1559C22⋊C4—42no—
1560C22⋊C4—42no—
1561C22⋊C4—42no—
1562C22⋊C4—42no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4—81no—
1566C22⋊C4—81no—
1567C22⋊C4—81no—
1568C22⋊C4—81no—
1569C22⋊C4—81no—
1570C22⋊C4—81no—
1571C22⋊C4—81no—
1572C22⋊C4—81no—
1573C22⋊C4—81no—
1574C22⋊C4—81no—
1575C22⋊C4—81no—
1576C22⋊C4—81no—
1577C22⋊C4—81no—
1578C22⋊C4—81no—
1579C22⋊C4—81no—
1580C22⋊C4#12014yes—
1581C22⋊C4#12014yes—
1582C42—24no—
1583C42—21no—
1584C42—21no—
1585C42—42no—
1586C42—81no—
1587C42—81no—
1588C42—81no—
1589C42C22×D412yes—
1590C42C22×D412yes—
1591C23—216no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—22no—
1607C23—22no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—22no—
1612C23—22no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—22no—
1618C23—22no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—22no—
1626C23—22no—
1627C23—21no—
1628C23—22no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—44no—
1633C23—44no—
1634C23—44no—
1635C23—48no—
1636C23—48no—
1637C23—48no—
1638C23—44no—
1639C23—44no—
1640C23—44no—
1641C23—48no—
1642C23—48no—
1643C23—48no—
1644C23—48no—
1645C23—48no—
1646C23—48no—
1647C23—48no—
1648C23—48no—
1649C23—44no—
1650C23—41no—
1651C23—41no—
1652C23—41no—
1653C23—41no—
1654C23—41no—
1655C23—41no—
1656C23—41no—
1657C23—41no—
1658C23—41no—
1659C23—41no—
1660C23—41no—
1661C23—41no—
1662C23—41no—
1663C23—41no—
1664C23—41no—
1665C23—41no—
1666C23—41no—
1667C23—41no—
1668C23—41no—
1669C23—41no—
1670C23—41no—
1671C23—41no—
1672C23—41no—
1673C23—41no—
1674C23—41no—
1675C23—41no—
1676C23—41no—
1677C23—41no—
1678C23—41no—
1679C23—41no—
1680C23—41no—
1681C23—41no—
1682C23—41no—
1683C23—84no—
1684C23—84no—
1685C23—84no—
1686C23—84no—
1687C23—84no—
1688C23—84no—
1689C23—84no—
1690C23—84no—
1691C23—84no—
1692C23—84no—
1693C23—84no—
1694C23—84no—
1695C23—84no—
1696C23—84no—
1697C23—84no—
1698C23—84no—
1699C23—84no—
1700C23—84no—
1701C23—84no—
1702C23—84no—
1703C23—84no—
1704C23—84no—
1705C23—84no—
1706C23—84no—
1707C23—84no—
1708C23—84no—
1709C23—84no—
1710C23—84no—
1711C23—84no—
1712C23—84no—
1713C23—84no—
1714C23—84no—
1715C23—84no—
1716C23—84no—
1717C23—8128no—
1718C23—84no—
1719C23—84no—
1720C23—162no—
1721C23—162no—
1722C23—162no—
1723C23—162no—
1724C23—162no—
1725C23—162no—
1726C23—162no—
1727C23—162no—
1728C23C2×#12012yes—
1729C23C2×#12012yes—
1730C23#54612yes—
1731C23#57612yes—
1732C23C23×D411yescharacteristic
1733Q8—22no—
1734Q8—22no—
1735Q8—44no—
1736Q8—41no—
1737Q8—41no—
1738D4—216no—
1739D4—22no—
1740D4—22no—
1741D4—22no—
1742D4—22no—
1743D4—22no—
1744D4—22no—
1745D4—22no—
1746D4—22no—
1747D4—22no—
1748D4—22no—
1749D4—22no—
1750D4—22no—
1751D4—44no—
1752D4—48no—
1753D4—48no—
1754D4—44no—
1755D4—44no—
1756D4—48no—
1757D4—44no—
1758D4—48no—
1759D4—44no—
1760D4—44no—
1761D4—48no—
1762D4—48no—
1763D4—48no—
1764D4—48no—
1765D4—48no—
1766D4—48no—
1767D4—44no—
1768D4—48no—
1769D4—48no—
1770D4—41no—
1771D4—41no—
1772D4—41no—
1773D4—41no—
1774D4—41no—
1775D4—41no—
1776D4—41no—
1777D4—41no—
1778D4—41no—
1779D4—41no—
1780D4—84no—
1781D4—84no—
1782D4—84no—
1783D4—84no—
1784D4—84no—
1785D4—84no—
1786D4—84no—
1787D4—84no—
1788D4—84no—
1789D4—162no—
1790D4—162no—
1791D4—162no—
1792D4—162no—
1793D4#54614yes—
1794D4#54614yes—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—44no—
1833C2×C4—44no—
1834C2×C4—44no—
1835C2×C4—48no—
1836C2×C4—48no—
1837C2×C4—48no—
1838C2×C4—41no—
1839C2×C4—41no—
1840C2×C4—41no—
1841C2×C4—41no—
1842C2×C4—41no—
1843C2×C4—41no—
1844C2×C4—41no—
1845C2×C4—41no—
1846C2×C4—41no—
1847C2×C4—41no—
1848C2×C4—41no—
1849C2×C4—41no—
1850C2×C4—41no—
1851C2×C4—41no—
1852C2×C4—41no—
1853C2×C4—41no—
1854C2×C4—41no—
1855C2×C4—41no—
1856C2×C4—41no—
1857C2×C4—41no—
1858C2×C4—41no—
1859C2×C4—41no—
1860C2×C4—41no—
1861C2×C4—41no—
1862C2×C4—41no—
1863C2×C4—41no—
1864C2×C4—41no—
1865C2×C4—41no—
1866C2×C4—41no—
1867C2×C4—41no—
1868C2×C4—41no—
1869C2×C4—41no—
1870C2×C4—41no—
1871C2×C4—41no—
1872C2×C4—41no—
1873C2×C4—84no—
1874C2×C4—84no—
1875C2×C4—84no—
1876C2×C4—84no—
1877C2×C4—162no—
1878C2×C4—162no—
1879C2×C4C2×#12012yes—
1880C2×C4C2×#12012yes—
1881C2×C4C2×#12012yes—
1882C2×C4C2×#12012yes—
1883C2×C4#54612yes—
1884C2×C4C23×D411yescharacteristic
1885C2×C4C23×D411yescharacteristic
1886C2×C4C22×#4111yescharacteristic
1887C2×C4C2×H(5,𝔽2)11yescharacteristic
1888C2×C4C2×H(5,𝔽2)11yescharacteristic
1889C2×C4C2×H(5,𝔽2)11yescharacteristic
1890C8—41no—
1891C8—41no—
1892C8—41no—
1893C8—41no—
1894C8—41no—
1895C8—41no—
1896C8—41no—
1897C8—41no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—24no—
1902C22—24no—
1903C22—22no—
1904C22—22no—
1905C22—22no—
1906C22—22no—
1907C22—22no—
1908C22—22no—
1909C22—22no—
1910C22—22no—
1911C22—22no—
1912C22—416no—
1913C22—41no—
1914C22—41no—
1915C22—41no—
1916C22—41no—
1917C22—42no—
1918C22—42no—
1919C22—41no—
1920C22—41no—
1921C22—41no—
1922C22—41no—
1923C22—42no—
1924C22—42no—
1925C22—42no—
1926C22—42no—
1927C22—41no—
1928C22—41no—
1929C22—42no—
1930C22—42no—
1931C22—41no—
1932C22—41no—
1933C22—41no—
1934C22—41no—
1935C22—42no—
1936C22—42no—
1937C22—41no—
1938C22—41no—
1939C22—42no—
1940C22—42no—
1941C22—42no—
1942C22—41no—
1943C22—42no—
1944C22—42no—
1945C22—41no—
1946C22—41no—
1947C22—41no—
1948C22—42no—
1949C22—42no—
1950C22—42no—
1951C22—41no—
1952C22—42no—
1953C22—42no—
1954C22—42no—
1955C22—41no—
1956C22—41no—
1957C22—816no—
1958C22—816no—
1959C22—816no—
1960C22—816no—
1961C22—816no—
1962C22—816no—
1963C22—81no—
1964C22—81no—
1965C22—81no—
1966C22—81no—
1967C22—81no—
1968C22—81no—
1969C22—81no—
1970C22—81no—
1971C22—81no—
1972C22—81no—
1973C22—81no—
1974C22—81no—
1975C22—81no—
1976C22—81no—
1977C22—81no—
1978C22—81no—
1979C22—81no—
1980C22—81no—
1981C22—81no—
1982C22—168no—
1983C22—168no—
1984C22C22×#12011yescharacteristic
1985C22C2×#54611yescharacteristic
1986C22#348411yescharacteristic
1987C22C2×#57611yescharacteristic
1988C22#358511yescharacteristic
1989C22#358511yescharacteristic
1990C22#358511yescharacteristic
1991C4—22no—
1992C4—22no—
1993C4—22no—
1994C4—22no—
1995C4—22no—
1996C4—41no—
1997C4—41no—
1998C4—42no—
1999C4—41no—
2000C4—42no—
2001C4—41no—
2002C4—42no—
2003C4—81no—
2004C4—81no—
2005C4—81no—
2006C4—81no—
2007C4—81no—
2008C4—81no—
2009C4—81no—
2010C4C2×#54611yescharacteristic
2011C4C2×#54611yescharacteristic
2012C4#348411yescharacteristic
2013C4#348411yescharacteristic
2014C2—42no—
2015C2—42no—
2016C2—42no—
2017C2—42no—
2018C2—44no—
2019C2—44no—
2020C2—81no—
2021C2—82no—
2022C2—82no—
2023C2—82no—
2024C2—161no—
2025C2#3615211yescharacteristic
2026C2#6036711yescharacteristic
2027C2#6037211yescharacteristic
2028C2#6117511yescharacteristic
2029C2#6118311yescharacteristic
2030C2#6160911yescharacteristic
2031C2#6164311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#525 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#3484C2semidirect
2. C2×#3322C2semidirect
3. C2×#3318C2semidirect
4. #37846C2semidirect
5. #32966C2semidirect
6. #32884C2semidirect
7. #32878C2semidirect
8. #25891C2semidirect
9. #25890C2semidirect
10. #25867C2semidirect
11. #24450C2semidirect
12. #24440C2semidirect
13. #24440C2semidirect
14. #24428C2semidirect
15. #24390C2semidirect
16. #24388C2semidirect
17. #24257C2semidirect
18. #24236C2semidirect
19. #24218C2semidirect
20. #24050C2semidirect
21. #24048C2semidirect
22. #24044C2semidirect
23. #24032C2semidirect
24. #24013C2semidirect
25. #24008C2semidirect
26. #22428C2semidirect
27. #22424C2semidirect
28. #22400C2semidirect
29. #21458C2semidirect
30. #20602C2semidirect
31. #20598C2semidirect
36. C2×#553C22semidirect
60. C2×#490C22semidirect
61. C2×#488C22semidirect
62. C2×#481C22semidirect
63. C2×#485C22semidirect
64. C2×#482C22semidirect
65. C2×#480C22semidirect
66. C2×#478C22semidirect
67. C2×#478C22semidirect
68. C2×#469C22semidirect
69. C2×#469C22semidirect
70. C2×#468C22semidirect
71. C2×#466C22semidirect
72. C2×#463C22semidirect
73. C2×#459C22semidirect
74. C2×#449C22semidirect
75. C2×#449C22semidirect
76. C2×#449C22semidirect
78. C2×#447C22semidirect
79. C2×#447C22semidirect
80. C2×#447C22semidirect
81. C2×#447C22semidirect
82. C2×#447C22semidirect
83. C2×#447C22semidirect
84. C2×#447C22semidirect
85. C2×#442C22semidirect
86. C2×C4×D8C22semidirect
87. C2×#436C22semidirect
88. C2×#435C22semidirect
89. C2×#417C22semidirect
90. C2×#418C22semidirect
91. C2×#418C22semidirect
92. C2×#418C22semidirect
93. C2×#418C22semidirect
94. C2×#418C22semidirect
95. C2×#416C22semidirect
96. C22×#102C22semidirect
97. C2×#408C22semidirect
98. C2×#407C22semidirect
99. #2847C22semidirect
104. #2629C22semidirect
105. #2615C22semidirect
106. #2562C22semidirect
109. #2537C22semidirect
110. #2486C22semidirect
111. #2485C22semidirect
114. #2414C22semidirect
115. #2414C22semidirect
116. #2354C22semidirect
117. #2324C22semidirect
118. #2311C22semidirect
119. #2280C22semidirect
120. #2042C22semidirect
121. #2042C22semidirect
122. #2042C22semidirect
123. #2041C22semidirect
124. #2041C22semidirect
125. #2041C22semidirect
126. #2036C22semidirect
127. #2035C22semidirect
128. #2035C22semidirect
129. #2034C22semidirect
130. #2034C22semidirect
131. #2034C22semidirect
132. #2034C22semidirect
133. #2033C22semidirect
134. #2033C22semidirect
135. #2033C22semidirect
136. #2033C22semidirect
137. #2033C22semidirect
138. #2012C22semidirect
139. #2011C22semidirect
140. #2000C22semidirect
141. #1999C22semidirect
142. #1999C22semidirect
143. #1999C22semidirect
144. #1983C22semidirect
145. #1982C22semidirect
146. #1959C22semidirect
147. #1957C22semidirect
148. #1955C22semidirect
149. #1954C22semidirect
150. #1895C22semidirect
151. #1895C22semidirect
152. #1894C22semidirect
153. #1893C22semidirect
154. #1879C22semidirect
155. #1879C22semidirect
156. #1875C22semidirect
157. #1875C22semidirect
158. #1875C22semidirect
159. #1875C22semidirect
160. #1873C22semidirect
161. #1870C22semidirect
162. #1870C22semidirect
163. #1870C22semidirect
164. #1869C22semidirect
165. #1864C22semidirect
166. #1864C22semidirect
167. #1864C22semidirect
168. #1862C22semidirect
169. #1862C22semidirect
170. #1862C22semidirect
171. #1854C22semidirect
172. #1854C22semidirect
173. #1854C22semidirect
174. #1802C22semidirect
175. #1802C22semidirect
176. #1798C22semidirect
177. #1788C22semidirect
178. #1788C22semidirect
179. #1788C22semidirect
180. #1788C22semidirect
181. #1788C22semidirect
182. #1788C22semidirect
183. #1788C22semidirect
187. #1786C22semidirect
188. #1786C22semidirect
189. #1786C22semidirect
190. #1786C22semidirect
191. #1786C22semidirect
192. #1786C22semidirect
193. #1786C22semidirect
194. #1786C22semidirect
195. #1786C22semidirect
196. #1786C22semidirect
197. #1786C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
201. #1786C22semidirect
202. #1780C22semidirect
203. #1779C22semidirect
204. #1762C22semidirect
205. C4×#102C22semidirect
206. #1750C22semidirect
244. C22×SD16C23semidirect
249. C22×D8C23semidirect
252. C22×M16C23semidirect
253. C23×C8C23semidirect
265. #546D4semidirect
275. D42D4semidirect
286. C2×#125C23semidirect
330. C2×#121C23semidirect
331. C2×#121C23semidirect
369. C2×C4×D4C23semidirect
374. C2×#117C23semidirect
375. C22×C4⋊C4C23semidirect
411. C2×#107C23semidirect
412. C2×#107C23semidirect
413. C2×#107C23semidirect
414. C2×#106C23semidirect
415. C2×#106C23semidirect
416. C2×#106C23semidirect
417. C2×C4⋊C8C23semidirect
418. C2×C4⋊C8C23semidirect
426. C2×#103C23semidirect
427. C2×#103C23semidirect
428. C2×#103C23semidirect
429. C2×#103C23semidirect
430. C2×#103C23semidirect
431. C2×#103C23semidirect
432. C2×#103C23semidirect
462. C2×#102C23semidirect
463. C2×#102C23semidirect
464. C2×#102C23semidirect
465. C2×#102C23semidirect
466. C2×#102C23semidirect
467. C2×#102C23semidirect
468. C2×#102C23semidirect
469. C2×#102C23semidirect
470. C2×#102C23semidirect
483. C2×C22⋊C8C23semidirect
484. C2×C22⋊C8C23semidirect
485. C2×C22⋊C8C23semidirect
486. C2×C22⋊C8C23semidirect
487. C2×C22⋊C8C23semidirect
488. C2×C22⋊C8C23semidirect
489. C2×#97C23semidirect
490. C2×C4×C8C23semidirect
517. #390C23semidirect
518. #389C23semidirect
519. #389C23semidirect
520. #389C23semidirect
537. #384C23semidirect
548. #380C23semidirect
549. #380C23semidirect
550. #380C23semidirect
551. #380C23semidirect
554. C4×C4⋊C4C23semidirect
557. #340C23semidirect
558. #340C23semidirect
559. #340C23semidirect
560. #340C23semidirect
561. #340C23semidirect
562. #340C23semidirect
563. #340C23semidirect
564. #340C23semidirect
565. #336C23semidirect
566. #336C23semidirect
567. #336C23semidirect
568. #336C23semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#34842
C2×#33222
C2×#33182
#378462
#329662
#328842
#328782
#258912
#258902
#258672
#244502
#244402
#244282
#243902
#243882
#242572
#242362
#242182
#240502
#240482
#240442
#240322
#240132
#240082
#224282
#224242
#224002
#214582
#206022
#205982