Finite Group Databasebeta

← #6591573

Subgroups — #6591573

Order 512.

4372 conjugacy classes of subgroups.

The subgroup lattice has 1937 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3488C211yesmaximal, characteristic
2C2×#3333C211yesmaximal, characteristic, complemented
3C2×#3314C211yesmaximal, characteristic, complemented
4#37838C211yesmaximal, characteristic, complemented
5#32963C211yesmaximal, characteristic, complemented
6#32886C211yesmaximal, characteristic, complemented
7#32883C211yesmaximal, characteristic, complemented
8#25896C211yesmaximal, characteristic, complemented
9#25885C211yesmaximal, characteristic, complemented
10#25865C211yesmaximal, characteristic, complemented
11#24452C211yesmaximal, characteristic, complemented
12#24448C211yesmaximal, characteristic, complemented
13#24443C211yesmaximal, characteristic, complemented
14#24433C211yesmaximal, characteristic, complemented
15#24393C211yesmaximal, characteristic, complemented
16#24385C211yesmaximal, characteristic, complemented
17#24252C211yesmaximal, characteristic, complemented
18#24246C211yesmaximal, characteristic, complemented
19#24220C211yesmaximal, characteristic, complemented
20#24051C211yesmaximal, characteristic, complemented
21#24049C211yesmaximal, characteristic, complemented
22#24046C211yesmaximal, characteristic, complemented
23#24032C211yesmaximal, characteristic, complemented
24#24011C211yesmaximal, characteristic, complemented
25#24002C211yesmaximal, characteristic, complemented
26#22427C211yesmaximal, characteristic, complemented
27#22422C211yesmaximal, characteristic, complemented
28#22400C211yesmaximal, characteristic, complemented
29#21465C211yesmaximal, characteristic, complemented
30#20602C211yesmaximal, characteristic, complemented
31#20601C211yesmaximal, characteristic, complemented
32C22×H(5,𝔽2)C2211yescharacteristic
33C23×#41C2211yescharacteristic
34#3488—28no—
35#3488—28no—
36C2×#554C2211yescharacteristic, complemented
37C2×#550C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×#548C2211yescharacteristic
40C2×#548C2211yescharacteristic
41C2×#546—21no—
42C2×#546—21no—
43C2×#546C2211yescharacteristic
44C2×#546C2211yescharacteristic
45C2×D42—21no—
46C2×D42—21no—
47C2×D42C2211yescharacteristic
48C2×D42C2211yescharacteristic
49C2×#537—21no—
50C2×#537C2211yescharacteristic
51C2×#535—21no—
52C2×#535C2211yescharacteristic
53C2×#525—21no—
54C2×#525C2211yescharacteristic
55C22×#121—21no—
56C22×#121C2211yescharacteristic
57C2×#520C2211yescharacteristic
58#3333—28no—
59#3314—28no—
60C2×#489C2211yescharacteristic, complemented
61C2×#486C2211yescharacteristic, complemented
62C2×#484C2211yescharacteristic, complemented
63C2×#480C2211yescharacteristic, complemented
64C2×#480C2211yescharacteristic, complemented
65C2×#480C2211yescharacteristic, complemented
66C2×#477C2211yescharacteristic, complemented
67C2×#474C2211yescharacteristic, complemented
68C2×#468C2211yescharacteristic, complemented
69C2×#468C2211yescharacteristic, complemented
70C2×#468C2211yescharacteristic, complemented
71C2×#467C2211yescharacteristic, complemented
72C2×#464C2211yescharacteristic, complemented
73C2×#460C2211yescharacteristic, complemented
74C2×#452C2211yescharacteristic
75C2×#452C2211yescharacteristic, complemented
76C2×#452C2211yescharacteristic, complemented
77C2×#452C2211yescharacteristic, complemented
78C2×#452C2211yescharacteristic, complemented
79C2×#452C2211yescharacteristic, complemented
80C2×#451C2211yescharacteristic, complemented
81C2×#450C2211yescharacteristic, complemented
82C2×#450C2211yescharacteristic, complemented
83C2×#450C2211yescharacteristic, complemented
84C2×#450C2211yescharacteristic, complemented
85C2×#440C2211yescharacteristic, complemented
86C2×C4×Q16C2211yescharacteristic, complemented
87C2×#436C2211yescharacteristic, complemented
88C2×#435C2211yescharacteristic, complemented
89C2×#417C2211yescharacteristic, complemented
90C2×#417C2211yescharacteristic, complemented
91C2×#417C2211yescharacteristic, complemented
92C2×#417C2211yescharacteristic, complemented
93C2×#417C2211yescharacteristic, complemented
94C2×#418C2211yescharacteristic, complemented
95C2×#416C2211yescharacteristic, complemented
96C22×#102C2211yescharacteristic, complemented
97C2×#408C2211yescharacteristic, complemented
98C2×#407C2211yescharacteristic, complemented
99#2848C2211yescharacteristic, complemented
100#2694—21no—
101#2690—21no—
102#2687—21no—
103#2672—21no—
104#2628C2211yescharacteristic, complemented
105#2616C2211yescharacteristic, complemented
106#2549—21no—
107#2547C2211yescharacteristic, complemented
108#2536C2211yescharacteristic, complemented
109#2487C2211yescharacteristic, complemented
110#2486C2211yescharacteristic, complemented
111#2472—21no—
112#2444—21no—
113#2418—21no—
114#2417C2211yescharacteristic, complemented
115#2415C2211yescharacteristic, complemented
116#2352C2211yescharacteristic, complemented
117#2323C2211yescharacteristic, complemented
118#2311C2211yescharacteristic, complemented
119C2×#380C2211yescharacteristic, complemented
120#2042C2211yescharacteristic, complemented
121#2042C2211yescharacteristic, complemented
122#2042C2211yescharacteristic, complemented
123#2041C2211yescharacteristic, complemented
124#2041C2211yescharacteristic, complemented
125#2041C2211yescharacteristic, complemented
126#2036C2211yescharacteristic, complemented
127#2036C2211yescharacteristic, complemented
128#2036C2211yescharacteristic, complemented
129#2033C2211yescharacteristic, complemented
130#2033C2211yescharacteristic, complemented
131#2033C2211yescharacteristic, complemented
132#2033C2211yescharacteristic, complemented
133#2033C2211yescharacteristic, complemented
134#2033C2211yescharacteristic, complemented
135#2033C2211yescharacteristic, complemented
136#2033C2211yescharacteristic, complemented
137#2033C2211yescharacteristic, complemented
138#2015C2211yescharacteristic, complemented
139#2014C2211yescharacteristic, complemented
140#2001C2211yescharacteristic, complemented
141#2000C2211yescharacteristic, complemented
142#2000C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#1983C2211yescharacteristic, complemented
145#1982C2211yescharacteristic, complemented
146#1961C2211yescharacteristic, complemented
147#1958C2211yescharacteristic, complemented
148#1955C2211yescharacteristic, complemented
149#1954C2211yescharacteristic, complemented
150#1895C2211yescharacteristic, complemented
151#1895C2211yescharacteristic, complemented
152#1894C2211yescharacteristic, complemented
153#1893C2211yescharacteristic, complemented
154#1878C2211yescharacteristic, complemented
155#1877C2211yescharacteristic, complemented
156#1875C2211yescharacteristic, complemented
157#1874C2211yescharacteristic, complemented
158#1874C2211yescharacteristic, complemented
159#1873C2211yescharacteristic, complemented
160#1872C2211yescharacteristic, complemented
161#1870C2211yescharacteristic, complemented
162#1870C2211yescharacteristic, complemented
163#1870C2211yescharacteristic, complemented
164#1869C2211yescharacteristic, complemented
165#1863C2211yescharacteristic, complemented
166#1863C2211yescharacteristic, complemented
167#1863C2211yescharacteristic, complemented
168#1862C2211yescharacteristic, complemented
169#1862C2211yescharacteristic, complemented
170#1862C2211yescharacteristic, complemented
171#1852C2211yescharacteristic, complemented
172#1852C2211yescharacteristic, complemented
173#1852C2211yescharacteristic, complemented
174#1805C2211yescharacteristic, complemented
175#1804C2211yescharacteristic, complemented
176#1798C2211yescharacteristic, complemented
177#1788C2211yescharacteristic
178#1788C2211yescharacteristic
179#1788C2211yescharacteristic
180#1788C2211yescharacteristic, complemented
181#1788C2211yescharacteristic, complemented
182#1788C2211yescharacteristic, complemented
183#1788C2211yescharacteristic, complemented
184#1788C2211yescharacteristic, complemented
185#1788C2211yescharacteristic, complemented
186#1788C2211yescharacteristic, complemented
187#1788C2211yescharacteristic, complemented
188#1788C2211yescharacteristic, complemented
189#1787C2211yescharacteristic, complemented
190#1787C2211yescharacteristic, complemented
191#1787C2211yescharacteristic, 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#1763C2211yescharacteristic, complemented
205C4×#102C2211yescharacteristic, complemented
206#1750C2211yescharacteristic, complemented
207C2×H(5,𝔽2)—24no—
208C2×H(5,𝔽2)—24no—
209C2×H(5,𝔽2)—24no—
210C2×H(5,𝔽2)—42no—
211C2×H(5,𝔽2)—42no—
212C2×H(5,𝔽2)—42no—
213C22×#41—24no—
214C22×#41—24no—
215C22×#41—21no—
216C22×#41—21no—
217C22×#41—21no—
218C22×#41—24no—
219C22×#41—42no—
220C22×#41—42no—
221C22×#41—42no—
222C22×#41C2311yescharacteristic
223C22×#41C2311yescharacteristic
224C22×#41C2311yescharacteristic
225C22×#41C2311yescharacteristic
226C22×#41C2311yescharacteristic
227C22×#41C2311yescharacteristic
228C22×#41C2311yescharacteristic
229C23×Q8C2311yescharacteristic
230C23×D4—21no—
231C23×D4—21no—
232C23×D4—21no—
233C23×D4—21no—
234C23×D4—21no—
235C23×D4—21no—
236C23×D4—21no—
237C23×D4C2311yescharacteristic
238C23×D4C2311yescharacteristic
239C23×D4C2311yescharacteristic
240C23×D4C2311yescharacteristic
241C24×C4—21no—
242C24×C4C2311yescharacteristic
243C22×Q16C2311yescharacteristic
244C22×Q16C2311yescharacteristic
245C22×SD16C2311yescharacteristic
246C22×SD16C2311yescharacteristic
247C22×SD16C2311yescharacteristic
248C22×SD16C2311yescharacteristic
249C22×M16C2311yescharacteristic
250C22×M16C2311yescharacteristic
251C22×M16C2311yescharacteristic
252C23×C8C2311yescharacteristic
253#554—24no—
254#554—24no—
255#550—24no—
256#550—24no—
257#550—24no—
258#550D418yes—
259#548—24no—
260#548—24no—
261#548—24no—
262#548—24no—
263#546—216no—
264#546—216no—
265#546—24no—
266#546—24no—
267#546—24no—
268#546D418yes—
269D42—216no—
270D42—216no—
271D42—24no—
272D42—24no—
273D42—24no—
274D42—24no—
275#537—216no—
276#537—24no—
277#537—24no—
278#535—216no—
279#535—24no—
280#535—24no—
281C2×C4⋊Q8C2311yescharacteristic
282C2×#127—21no—
283C2×#127—21no—
284C2×#127C2311yescharacteristic
285C2×#127C2311yescharacteristic
286C2×#125—21no—
287C2×#124—21no—
288C2×#124—21no—
289C2×#124—21no—
290C2×#124C2311yescharacteristic
291C2×#124C2311yescharacteristic
292#525—216no—
293#525—24no—
294#525—24no—
295C2×#123—21no—
296C2×#123—21no—
297C2×#123—21no—
298C2×#123D411yescharacteristic
299C2×#123D411yescharacteristic
300C2×C22⋊Q8—21no—
301C2×C22⋊Q8—21no—
302C2×C22⋊Q8—21no—
303C2×C22⋊Q8—21no—
304C2×C22⋊Q8—21no—
305C2×C22⋊Q8D411yescharacteristic
306C2×C22⋊Q8D411yescharacteristic
307C2×C22⋊Q8C2311yescharacteristic
308C2×C22⋊Q8C2311yescharacteristic
309C2×C22⋊Q8C2311yescharacteristic
310C2×C22⋊Q8C2311yescharacteristic
311C2×C22⋊Q8C2311yescharacteristic
312C2×C22⋊Q8C2311yescharacteristic
313C2×C22⋊Q8C2311yescharacteristic
314C2×#121—216no—
315C2×#121—21no—
316C2×#121—21no—
317C2×#121—21no—
318C2×#121—21no—
319C2×#121—21no—
320C2×#121—21no—
321C2×#121—21no—
322C2×#121—24no—
323C2×#121—24no—
324C2×#121—21no—
325C2×#121—21no—
326C2×#121—21no—
327C2×#121—21no—
328C2×#121—21no—
329C2×#121—21no—
330C2×#121—21no—
331C2×#121—21no—
332C2×#121—21no—
333C2×#121—21no—
334C2×#121D411yescharacteristic
335C2×#121D411yescharacteristic
336C2×#121C2311yescharacteristic
337C2×#121C2311yescharacteristic
338C2×#121C2311yescharacteristic
339C2×#121C2311yescharacteristic
340C2×#121C2311yescharacteristic
341C2×#121C2311yescharacteristic
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×#120D411yescharacteristic
351C2×#120D411yescharacteristic
352#520—24no—
353#520—24no—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×D4—21no—
358C2×C4×D4—21no—
359C2×C4×D4—21no—
360C2×C4×D4—21no—
361C2×C4×D4—21no—
362C2×C4×D4—21no—
363C2×C4×D4—21no—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×#117—21no—
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C22×C4⋊C4—21no—
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2311yescharacteristic
377C22×C4⋊C4C2311yescharacteristic
378C22×C22⋊C4—21no—
379C22×C22⋊C4—21no—
380C22×C22⋊C4—21no—
381C22×C22⋊C4—21no—
382#489—24no—
383#486—24no—
384#484—24no—
385#480—24no—
386#480—24no—
387#480—24no—
388#477—24no—
389#474—24no—
390#468—24no—
391#468—24no—
392#468—24no—
393#467—24no—
394#464—24no—
395#460—24no—
396#452—24no—
397#452—24no—
398#452—24no—
399#452—24no—
400#452—42no—
401#452—42no—
402#451—42no—
403#450—24no—
404#450—42no—
405#450—42no—
406#450—42no—
407#440—24no—
408C4×Q16—24no—
409#436—24no—
410#435—24no—
411C2×#107C2311yescharacteristic
412C2×#107C2311yescharacteristic
413C2×#107C2311yescharacteristic
414C2×#107C2311yescharacteristic
415C2×#107C2311yescharacteristic
416C2×#107C2311yescharacteristic
417C2×C4⋊C8C2311yescharacteristic
418C2×C4⋊C8C2311yescharacteristic
419#418—42no—
420#417—24no—
421#417—24no—
422#417—24no—
423#417—42no—
424#417—42no—
425#416—42no—
426C2×#103C2311yescharacteristic
427C2×#103C2311yescharacteristic
428C2×#103C2311yescharacteristic
429C2×#103C2311yescharacteristic
430C2×#103C2311yescharacteristic
431C2×#103C2311yescharacteristic
432C2×#103C2311yescharacteristic
433C2×#103C2311yescharacteristic
434C2×#103C2311yescharacteristic
435C2×#103C2311yescharacteristic
436C2×#103C2311yescharacteristic
437C2×#103C2311yescharacteristic
438C2×#103C2311yescharacteristic
439C2×#103C2311yescharacteristic
440C2×#103C2311yescharacteristic
441C2×#103C2311yescharacteristic
442C2×#102—24no—
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
463C2×#102C2311yescharacteristic
464C2×#102C2311yescharacteristic
465C2×#102C2311yescharacteristic
466C2×#102C2311yescharacteristic
467C2×#102C2311yescharacteristic
468C2×#102C2311yescharacteristic
469C2×#102C2311yescharacteristic
470C2×#102C2311yescharacteristic
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
484C2×C22⋊C8C2311yescharacteristic
485C2×C22⋊C8C2311yescharacteristic
486C2×C22⋊C8C2311yescharacteristic
487C2×C22⋊C8C2311yescharacteristic
488C2×C22⋊C8C2311yescharacteristic
489C2×#97C2311yescharacteristic
490C2×C4×C8C2311yescharacteristic
491#400—21no—
492#400—21no—
493#399—21no—
494#399—21no—
495#398—21no—
496#398—21no—
497#398—21no—
498#397—21no—
499#397—21no—
500#397—21no—
501#397—21no—
502#396—21no—
503#395—21no—
504#395—21no—
505#394—21no—
506#394—21no—
507#394—21no—
508#394—21no—
509#394—21no—
510#393—21no—
511#391—21no—
512#391—21no—
513#391C2311yescharacteristic
514#390—21no—
515#389—21no—
516#389—21no—
517#389C2311yescharacteristic
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#388—21no—
521#388—21no—
522#388—21no—
523#388—21no—
524#388—21no—
525#388—21no—
526#387—21no—
527#387—21no—
528#386—21no—
529#386—21no—
530#386—21no—
531#386—21no—
532#386—21no—
533#385—21no—
534#385—21no—
535#385—21no—
536#385—21no—
537#382C2311yescharacteristic
538#381—21no—
539#380—21no—
540#380—21no—
541#380—21no—
542#380C2311yescharacteristic
543#380C2311yescharacteristic
544#380C2311yescharacteristic
545#380C2311yescharacteristic
546#380C2311yescharacteristic
547#380C2311yescharacteristic
548#380C2311yescharacteristic
549#380C2311yescharacteristic
550#380C2311yescharacteristic
551#380C2311yescharacteristic
552#380C2311yescharacteristic
553#379—21no—
554C4×C4⋊C4C2311yescharacteristic
555C4×C22⋊C4—21no—
556C2×#95—21no—
557#340C2311yescharacteristic
558#340C2311yescharacteristic
559#340C2311yescharacteristic
560#340C2311yescharacteristic
561#340C2311yescharacteristic
562#340C2311yescharacteristic
563#340C2311yescharacteristic
564#340C2311yescharacteristic
565#336C2311yescharacteristic
566#336C2311yescharacteristic
567#336C2311yescharacteristic
568#336C2311yescharacteristic
569C25—21no—
570C25—21no—
571C25—21no—
572C25—21no—
573C25C2×D411yescharacteristic
574H(5,𝔽2)—416no—
575H(5,𝔽2)—416no—
576H(5,𝔽2)—416no—
577H(5,𝔽2)—416no—
578C2×#41—28no—
579C2×#41—28no—
580C2×#41—28no—
581C2×#41—22no—
582C2×#41—22no—
583C2×#41—22no—
584C2×#41—22no—
585C2×#41—22no—
586C2×#41—22no—
587C2×#41—22no—
588C2×#41—22no—
589C2×#41—22no—
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—22no—
606C2×#41—22no—
607C2×#41—41no—
608C2×#41—41no—
609C2×#41—44no—
610C2×#41—41no—
611C2×#41—41no—
612C2×#41—41no—
613C2×#41—41no—
614C2×#41—41no—
615C2×#41—41no—
616C2×#41—41no—
617C2×#41—41no—
618C2×#41—41no—
619C2×#41—41no—
620C2×#41—44no—
621C2×#41—44no—
622C2×#41—44no—
623C2×#41—44no—
624C2×#41—44no—
625C2×#41—416no—
626C2×#41—416no—
627C2×#41—416no—
628C2×#41—416no—
629C2×#41C2×D414yes—
630C2×#41C2×D414yes—
631C2×#41C2×D414yes—
632C2×#41#4114yes—
633C22×Q8—22no—
634C22×Q8—22no—
635C22×Q8—21no—
636C22×Q8—21no—
637C22×Q8—22no—
638C22×Q8—22no—
639C22×Q8—41no—
640C22×Q8—41no—
641C22×Q8C2×D411yescharacteristic
642C22×Q8C2411yescharacteristic
643C22×Q8C2411yescharacteristic
644C22×Q8C2411yescharacteristic
645C22×D4—21no—
646C22×D4—22no—
647C22×D4—22no—
648C22×D4—28no—
649C22×D4—28no—
650C22×D4—28no—
651C22×D4—28no—
652C22×D4—21no—
653C22×D4—21no—
654C22×D4—21no—
655C22×D4—21no—
656C22×D4—21no—
657C22×D4—21no—
658C22×D4—21no—
659C22×D4—28no—
660C22×D4—28no—
661C22×D4—28no—
662C22×D4—21no—
663C22×D4—21no—
664C22×D4—21no—
665C22×D4—21no—
666C22×D4—22no—
667C22×D4—22no—
668C22×D4—22no—
669C22×D4—22no—
670C22×D4—22no—
671C22×D4—22no—
672C22×D4—22no—
673C22×D4—22no—
674C22×D4—22no—
675C22×D4—22no—
676C22×D4—21no—
677C22×D4—21no—
678C22×D4—21no—
679C22×D4—21no—
680C22×D4—22no—
681C22×D4—21no—
682C22×D4—21no—
683C22×D4—21no—
684C22×D4—21no—
685C22×D4—22no—
686C22×D4—22no—
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—44no—
696C22×D4—44no—
697C22×D4—44no—
698C22×D4—44no—
699C22×D4—44no—
700C22×D4—44no—
701C22×D4—44no—
702C22×D4—44no—
703C22×D4—82no—
704C22×D4—82no—
705C22×D4—82no—
706C22×D4—82no—
707C22×D4—82no—
708C22×D4—82no—
709C22×D4C2×D411yescharacteristic
710C22×D4C2×D411yescharacteristic
711C22×D4C2×D411yescharacteristic
712C22×D4C2×D411yescharacteristic
713C22×D4C2×D411yescharacteristic
714C22×D4C2×D414yes—
715C22×D4C2×D411yescharacteristic
716C22×D4C2×D411yescharacteristic
717C22×D4C2411yescharacteristic
718C22×D4C2411yescharacteristic
719C22×D4C2411yescharacteristic
720C22×D4C2411yescharacteristic
721C23×C4—21no—
722C23×C4—28no—
723C23×C4—21no—
724C23×C4—21no—
725C23×C4—21no—
726C23×C4—21no—
727C23×C4—21no—
728C23×C4—21no—
729C23×C4—21no—
730C23×C4—22no—
731C23×C4—22no—
732C23×C4—22no—
733C23×C4—22no—
734C23×C4—21no—
735C23×C4—21no—
736C23×C4—21no—
737C23×C4—21no—
738C23×C4—21no—
739C23×C4—41no—
740C23×C4—41no—
741C23×C4—44no—
742C23×C4—44no—
743C23×C4C2×D411yescharacteristic
744C23×C4C2×D411yescharacteristic
745C23×C4C2×D411yescharacteristic
746C23×C4C2411yescharacteristic
747C23×C4C2411yescharacteristic
748C23×C4C2411yescharacteristic
749C23×C4C2411yescharacteristic
750C23×C4C2411yescharacteristic
751C2×Q16—22no—
752C2×Q16—22no—
753C2×Q16—22no—
754C2×Q16—22no—
755C2×Q16—41no—
756C2×Q16—41no—
757C2×SD16—22no—
758C2×SD16—22no—
759C2×SD16—22no—
760C2×SD16—22no—
761C2×SD16—22no—
762C2×SD16—22no—
763C2×SD16—41no—
764C2×SD16—41no—
765C2×SD16—41no—
766C2×SD16—41no—
767C2×SD16—41no—
768C2×SD16—41no—
769C2×M16—22no—
770C2×M16—22no—
771C2×M16—22no—
772C2×M16—41no—
773C2×M16—41no—
774C2×M16—41no—
775C2×M16—41no—
776C2×M16—41no—
777C2×M16—41no—
778C22×C8—22no—
779C22×C8—41no—
780C22×C8—41no—
781C22×C8C2411yescharacteristic
782C22×C8C2411yescharacteristic
783C22×C8C2411yescharacteristic
784C22×C8C2411yescharacteristic
785C22×C8C2411yescharacteristic
786C22×C8C2411yescharacteristic
787C22×C8C2411yescharacteristic
788C22×C8C2411yescharacteristic
789C4⋊Q8—22no—
790C4⋊Q8—22no—
791#127—28no—
792#127—28no—
793#127—22no—
794#127—22no—
795#127—22no—
796#127C2×D414yes—
797#125—44no—
798#124—28no—
799#124—28no—
800#124—22no—
801#124—22no—
802#124—22no—
803#124—82no—
804#124C2×D414yes—
805#123—28no—
806#123—28no—
807#123—24no—
808#123—24no—
809#123—82no—
810C22⋊Q8—28no—
811C22⋊Q8—28no—
812C22⋊Q8—28no—
813C22⋊Q8—22no—
814C22⋊Q8—22no—
815C22⋊Q8—24no—
816C22⋊Q8—22no—
817C22⋊Q8—24no—
818C22⋊Q8—22no—
819C22⋊Q8—22no—
820C22⋊Q8—22no—
821C22⋊Q8—22no—
822C22⋊Q8—22no—
823C22⋊Q8—22no—
824C22⋊Q8—44no—
825C22⋊Q8—44no—
826C22⋊Q8—41no—
827C22⋊Q8—41no—
828C22⋊Q8—41no—
829C22⋊Q8—41no—
830C22⋊Q8C2×D414yes—
831#121—28no—
832#121—28no—
833#121—28no—
834#121—28no—
835#121—28no—
836#121—28no—
837#121—28no—
838#121—28no—
839#121—28no—
840#121—28no—
841#121—28no—
842#121—28no—
843#121—28no—
844#121—28no—
845#121—24no—
846#121—22no—
847#121—22no—
848#121—22no—
849#121—22no—
850#121—22no—
851#121—22no—
852#121—22no—
853#121—22no—
854#121—22no—
855#121—24no—
856#121—28no—
857#121—28no—
858#121—28no—
859#121C2×D414yes—
860#121C2×D414yes—
861#121C2×D414yes—
862#120—28no—
863#120—28no—
864#120—28no—
865#120—28no—
866#120—28no—
867#120—28no—
868#120—28no—
869#120—28no—
870#120—24no—
871#120—24no—
872C4×Q8—22no—
873C4×Q8—22no—
874C4×Q8—22no—
875C4×Q8—22no—
876C4×Q8—22no—
877C4×Q8C2×D414yes—
878C4×D4—28no—
879C4×D4—28no—
880C4×D4—28no—
881C4×D4—28no—
882C4×D4—28no—
883C4×D4—22no—
884C4×D4—22no—
885C4×D4—22no—
886C4×D4—22no—
887C4×D4—22no—
888C4×D4—28no—
889C4×D4—22no—
890C4×D4—22no—
891C4×D4—22no—
892C4×D4—22no—
893C4×D4—44no—
894C4×D4C2×D414yes—
895C4×D4C2×D414yes—
896C4×D4C2×D414yes—
897#117—28no—
898#117—22no—
899#117—22no—
900#117—41no—
901#117—41no—
902C2×C4⋊C4—28no—
903C2×C4⋊C4—21no—
904C2×C4⋊C4—21no—
905C2×C4⋊C4—21no—
906C2×C4⋊C4—21no—
907C2×C4⋊C4—21no—
908C2×C4⋊C4—22no—
909C2×C4⋊C4—22no—
910C2×C4⋊C4—22no—
911C2×C4⋊C4—22no—
912C2×C4⋊C4—22no—
913C2×C4⋊C4—22no—
914C2×C4⋊C4—21no—
915C2×C4⋊C4—21no—
916C2×C4⋊C4—21no—
917C2×C4⋊C4—21no—
918C2×C4⋊C4—21no—
919C2×C4⋊C4—21no—
920C2×C4⋊C4—21no—
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—41no—
928C2×C4⋊C4—41no—
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—21no—
947C2×C22⋊C4—21no—
948C2×C22⋊C4—21no—
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—28no—
961C2×C22⋊C4—21no—
962C2×C22⋊C4—21no—
963C2×C22⋊C4—21no—
964C2×C22⋊C4—21no—
965C2×C22⋊C4—21no—
966C2×C22⋊C4—21no—
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—82no—
979C2×C22⋊C4C2×D411yescharacteristic
980C2×C22⋊C4C2×D411yescharacteristic
981C2×C22⋊C4C2×D411yescharacteristic
982C2×C22⋊C4C2×D411yescharacteristic
983C2×C22⋊C4C2×D411yescharacteristic
984C2×C22⋊C4C2×D411yescharacteristic
985C2×C22⋊C4C2×D411yescharacteristic
986C2×C22⋊C4C2×D411yescharacteristic
987C2×C22⋊C4C2×D411yescharacteristic
988C2×C22⋊C4C2×D411yescharacteristic
989C2×C42—21no—
990C2×C42—21no—
991C2×C42—21no—
992C2×C42—21no—
993C2×C42—21no—
994C2×C42C2411yescharacteristic
995C2×C42C2411yescharacteristic
996#107—22no—
997#107—22no—
998#107—22no—
999#107—22no—
1000#107—22no—
1001#107—22no—
1002C4⋊C8—22no—
1003C4⋊C8—22no—
1004#103—22no—
1005#103—22no—
1006#103—22no—
1007#103—22no—
1008#103—22no—
1009#103—22no—
1010#103—22no—
1011#103—22no—
1012#103—22no—
1013#103—22no—
1014#103—22no—
1015#103—22no—
1016#103—41no—
1017#103—41no—
1018#103—41no—
1019#103—41no—
1020#102—22no—
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—41no—
1037#102—41no—
1038#102—41no—
1039#102—41no—
1040#102—41no—
1041#102—41no—
1042#102—41no—
1043#102—41no—
1044#102—41no—
1045#102—41no—
1046#102—41no—
1047#102—41no—
1048C22⋊C8—22no—
1049C22⋊C8—22no—
1050C22⋊C8—22no—
1051C22⋊C8—22no—
1052C22⋊C8—22no—
1053C22⋊C8—22no—
1054C22⋊C8—22no—
1055C22⋊C8—22no—
1056C22⋊C8—41no—
1057C22⋊C8—41no—
1058C22⋊C8—41no—
1059C22⋊C8—41no—
1060C22⋊C8—41no—
1061C22⋊C8—41no—
1062C22⋊C8—41no—
1063C22⋊C8—41no—
1064#97—22no—
1065C4×C8—22no—
1066#95—21no—
1067#95—21no—
1068#95—21no—
1069#95—21no—
1070#95—21no—
1071#95—21no—
1072#95—21no—
1073#95—21no—
1074#95—21no—
1075#95—21no—
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—
1085C24—21no—
1086C24—24no—
1087C24—24no—
1088C24—24no—
1089C24—21no—
1090C24—21no—
1091C24—21no—
1092C24—22no—
1093C24—22no—
1094C24—22no—
1095C24—24no—
1096C24—41no—
1097C24—41no—
1098C24—41no—
1099C24—41no—
1100C24—42no—
1101C24—42no—
1102C24—42no—
1103C24—42no—
1104C24—42no—
1105C24—42no—
1106C24—42no—
1107C24—42no—
1108C24—42no—
1109C24—42no—
1110C24—81no—
1111C24—81no—
1112C24—81no—
1113C24—81no—
1114C24—81no—
1115C24—81no—
1116C24—81no—
1117C24—81no—
1118C24—81no—
1119C24—81no—
1120C24—81no—
1121C24—81no—
1122C24—81no—
1123C24—81no—
1124C24C22×D411yescharacteristic
1125C24C22×D411yescharacteristic
1126C24C22×D411yescharacteristic
1127C24C22×D411yescharacteristic
1128C24C22×D411yescharacteristic
1129#41—28no—
1130#41—28no—
1131#41—28no—
1132#41—28no—
1133#41—28no—
1134#41—28no—
1135#41—28no—
1136#41—44no—
1137#41—44no—
1138#41—44no—
1139#41—44no—
1140#41—44no—
1141#41—44no—
1142#41—44no—
1143#41—44no—
1144#41—44no—
1145#41—44no—
1146#41—44no—
1147#41—44no—
1148#41—44no—
1149#41—44no—
1150#41—44no—
1151#41—44no—
1152#41—44no—
1153#41—432no—
1154#41—432no—
1155#41—44no—
1156#41—44no—
1157#41—432no—
1158#41—44no—
1159#41—44no—
1160C2×Q8—24no—
1161C2×Q8—22no—
1162C2×Q8—22no—
1163C2×Q8—21no—
1164C2×Q8—21no—
1165C2×Q8—21no—
1166C2×Q8—21no—
1167C2×Q8—21no—
1168C2×Q8—21no—
1169C2×Q8—21no—
1170C2×Q8—21no—
1171C2×Q8—21no—
1172C2×Q8—21no—
1173C2×Q8—21no—
1174C2×Q8—21no—
1175C2×Q8—21no—
1176C2×Q8—21no—
1177C2×Q8—41no—
1178C2×Q8—42no—
1179C2×Q8—42no—
1180C2×Q8—44no—
1181C2×Q8—44no—
1182C2×Q8—44no—
1183C2×Q8—44no—
1184C2×Q8—42no—
1185C2×Q8—81no—
1186C2×Q8—81no—
1187C2×Q8C22×D412yes—
1188C2×Q8C22×D412yes—
1189C2×Q8C2×#4112yes—
1190C2×Q8H(5,𝔽2)12yes—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—24no—
1194C2×D4—28no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—22no—
1203C2×D4—24no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—22no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—22no—
1225C2×D4—21no—
1226C2×D4—21no—
1227C2×D4—21no—
1228C2×D4—21no—
1229C2×D4—21no—
1230C2×D4—21no—
1231C2×D4—21no—
1232C2×D4—21no—
1233C2×D4—21no—
1234C2×D4—21no—
1235C2×D4—21no—
1236C2×D4—21no—
1237C2×D4—21no—
1238C2×D4—21no—
1239C2×D4—21no—
1240C2×D4—21no—
1241C2×D4—21no—
1242C2×D4—21no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—432no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—432no—
1278C2×D4—44no—
1279C2×D4—432no—
1280C2×D4—432no—
1281C2×D4—44no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—42no—
1293C2×D4—81no—
1294C2×D4—81no—
1295C2×D4—81no—
1296C2×D4—81no—
1297C2×D4—81no—
1298C2×D4—81no—
1299C2×D4—81no—
1300C2×D4—81no—
1301C2×D4—81no—
1302C2×D4—81no—
1303C2×D4—81no—
1304C2×D4—81no—
1305C2×D4—81no—
1306C2×D4—81no—
1307C2×D4—81no—
1308C2×D4—81no—
1309C2×D4—816no—
1310C2×D4—816no—
1311C2×D4—816no—
1312C2×D4#12014yes—
1313C2×D4C22×D412yes—
1314C2×D4C22×D412yes—
1315C2×D4C22×D412yes—
1316C2×D4C22×D412yes—
1317C2×D4C2×#4112yes—
1318C2×D4H(5,𝔽2)12yes—
1319C22×C4—24no—
1320C22×C4—24no—
1321C22×C4—21no—
1322C22×C4—24no—
1323C22×C4—21no—
1324C22×C4—21no—
1325C22×C4—21no—
1326C22×C4—21no—
1327C22×C4—21no—
1328C22×C4—21no—
1329C22×C4—21no—
1330C22×C4—21no—
1331C22×C4—21no—
1332C22×C4—21no—
1333C22×C4—21no—
1334C22×C4—21no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—21no—
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—24no—
1344C22×C4—24no—
1345C22×C4—24no—
1346C22×C4—22no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—24no—
1365C22×C4—21no—
1366C22×C4—21no—
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—41no—
1374C22×C4—41no—
1375C22×C4—41no—
1376C22×C4—44no—
1377C22×C4—44no—
1378C22×C4—44no—
1379C22×C4—44no—
1380C22×C4—42no—
1381C22×C4—42no—
1382C22×C4—42no—
1383C22×C4—42no—
1384C22×C4—42no—
1385C22×C4—42no—
1386C22×C4—42no—
1387C22×C4—42no—
1388C22×C4—42no—
1389C22×C4—42no—
1390C22×C4—432no—
1391C22×C4—42no—
1392C22×C4—42no—
1393C22×C4—42no—
1394C22×C4—42no—
1395C22×C4—42no—
1396C22×C4—81no—
1397C22×C4—81no—
1398C22×C4—81no—
1399C22×C4—81no—
1400C22×C4—81no—
1401C22×C4—81no—
1402C22×C4—81no—
1403C22×C4—81no—
1404C22×C4—81no—
1405C22×C4—81no—
1406C22×C4—81no—
1407C22×C4—81no—
1408C22×C4C22×D411yescharacteristic
1409C22×C4C22×D411yescharacteristic
1410C22×C4C22×D411yescharacteristic
1411C22×C4C22×D411yescharacteristic
1412C22×C4C22×D411yescharacteristic
1413C22×C4C22×D411yescharacteristic
1414C22×C4C22×D411yescharacteristic
1415C22×C4C22×D411yescharacteristic
1416C22×C4C22×D412yes—
1417C22×C4C22×D412yes—
1418C22×C4C22×D412yes—
1419C22×C4C22×D412yes—
1420C22×C4C22×D411yescharacteristic
1421C22×C4C2×#4112yes—
1422C22×C4H(5,𝔽2)12yes—
1423C22×C4C2511yescharacteristic
1424Q16—44no—
1425Q16—82no—
1426SD16—44no—
1427SD16—82no—
1428SD16—82no—
1429SD16—82no—
1430M16—82no—
1431M16—82no—
1432M16—82no—
1433C2×C8—21no—
1434C2×C8—21no—
1435C2×C8—21no—
1436C2×C8—21no—
1437C2×C8—21no—
1438C2×C8—21no—
1439C2×C8—21no—
1440C2×C8—21no—
1441C2×C8—21no—
1442C2×C8—21no—
1443C2×C8—21no—
1444C2×C8—21no—
1445C2×C8—21no—
1446C2×C8—21no—
1447C2×C8—21no—
1448C2×C8—21no—
1449C2×C8—21no—
1450C2×C8—21no—
1451C2×C8—21no—
1452C2×C8—21no—
1453C2×C8—21no—
1454C2×C8—21no—
1455C2×C8—21no—
1456C2×C8—21no—
1457C2×C8—82no—
1458C4⋊C4—24no—
1459C4⋊C4—24no—
1460C4⋊C4—24no—
1461C4⋊C4—22no—
1462C4⋊C4—24no—
1463C4⋊C4—24no—
1464C4⋊C4—22no—
1465C4⋊C4—22no—
1466C4⋊C4—22no—
1467C4⋊C4—22no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—42no—
1485C4⋊C4—42no—
1486C4⋊C4—42no—
1487C4⋊C4—42no—
1488C4⋊C4—42no—
1489C4⋊C4—42no—
1490C4⋊C4—42no—
1491C4⋊C4—81no—
1492C4⋊C4—81no—
1493C4⋊C4—81no—
1494C4⋊C4—81no—
1495C4⋊C4—81no—
1496C4⋊C4—81no—
1497C4⋊C4#12014yes—
1498C4⋊C4C22×D412yes—
1499C4⋊C4C22×D412yes—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—22no—
1509C22⋊C4—22no—
1510C22⋊C4—24no—
1511C22⋊C4—24no—
1512C22⋊C4—22no—
1513C22⋊C4—24no—
1514C22⋊C4—24no—
1515C22⋊C4—24no—
1516C22⋊C4—24no—
1517C22⋊C4—22no—
1518C22⋊C4—22no—
1519C22⋊C4—22no—
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—42no—
1526C22⋊C4—42no—
1527C22⋊C4—42no—
1528C22⋊C4—42no—
1529C22⋊C4—81no—
1530C22⋊C4—81no—
1531C22⋊C4—81no—
1532C22⋊C4—81no—
1533C22⋊C4—81no—
1534C22⋊C4—81no—
1535C22⋊C4—81no—
1536C22⋊C4—81no—
1537C22⋊C4—81no—
1538C22⋊C4—81no—
1539C22⋊C4#12014yes—
1540C22⋊C4#12014yes—
1541C42—24no—
1542C42—24no—
1543C42—21no—
1544C42—21no—
1545C42—42no—
1546C42—81no—
1547C42—81no—
1548C42C22×D412yes—
1549C42C22×D412yes—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—22no—
1565C23—21no—
1566C23—21no—
1567C23—22no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—22no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—44no—
1588C23—44no—
1589C23—44no—
1590C23—48no—
1591C23—48no—
1592C23—48no—
1593C23—48no—
1594C23—48no—
1595C23—41no—
1596C23—41no—
1597C23—41no—
1598C23—41no—
1599C23—41no—
1600C23—41no—
1601C23—41no—
1602C23—41no—
1603C23—41no—
1604C23—41no—
1605C23—41no—
1606C23—41no—
1607C23—41no—
1608C23—41no—
1609C23—41no—
1610C23—41no—
1611C23—41no—
1612C23—41no—
1613C23—41no—
1614C23—41no—
1615C23—41no—
1616C23—41no—
1617C23—82no—
1618C23—82no—
1619C23—82no—
1620C23—84no—
1621C23—84no—
1622C23—84no—
1623C23—84no—
1624C23—84no—
1625C23—82no—
1626C23—84no—
1627C23—84no—
1628C23—84no—
1629C23—84no—
1630C23—84no—
1631C23—84no—
1632C23—162no—
1633C23—162no—
1634C23—162no—
1635C23—162no—
1636C23—162no—
1637C23—162no—
1638C23—162no—
1639C23—162no—
1640C23—162no—
1641C23—162no—
1642C23—162no—
1643C23—162no—
1644C23C2×#12012yes—
1645C23C2×#12012yes—
1646C23#54612yes—
1647C23#57612yes—
1648C23C23×D411yescharacteristic
1649Q8—22no—
1650Q8—22no—
1651Q8—22no—
1652Q8—22no—
1653Q8—22no—
1654Q8—44no—
1655Q8—48no—
1656Q8—41no—
1657Q8—41no—
1658Q8—41no—
1659Q8—41no—
1660Q8—41no—
1661Q8—41no—
1662Q8—162no—
1663Q8#54614yes—
1664D4—216no—
1665D4—22no—
1666D4—22no—
1667D4—22no—
1668D4—22no—
1669D4—22no—
1670D4—22no—
1671D4—22no—
1672D4—22no—
1673D4—22no—
1674D4—44no—
1675D4—44no—
1676D4—44no—
1677D4—48no—
1678D4—44no—
1679D4—48no—
1680D4—48no—
1681D4—48no—
1682D4—48no—
1683D4—44no—
1684D4—44no—
1685D4—48no—
1686D4—48no—
1687D4—48no—
1688D4—48no—
1689D4—48no—
1690D4—48no—
1691D4—41no—
1692D4—41no—
1693D4—41no—
1694D4—41no—
1695D4—41no—
1696D4—41no—
1697D4—84no—
1698D4—84no—
1699D4—82no—
1700D4—84no—
1701D4—84no—
1702D4—84no—
1703D4—84no—
1704D4—84no—
1705D4—84no—
1706D4#54614yes—
1707C2×C4—216no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—22no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—22no—
1720C2×C4—21no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—44no—
1749C2×C4—48no—
1750C2×C4—48no—
1751C2×C4—44no—
1752C2×C4—44no—
1753C2×C4—48no—
1754C2×C4—48no—
1755C2×C4—48no—
1756C2×C4—48no—
1757C2×C4—41no—
1758C2×C4—41no—
1759C2×C4—41no—
1760C2×C4—41no—
1761C2×C4—41no—
1762C2×C4—41no—
1763C2×C4—41no—
1764C2×C4—41no—
1765C2×C4—41no—
1766C2×C4—41no—
1767C2×C4—41no—
1768C2×C4—41no—
1769C2×C4—41no—
1770C2×C4—41no—
1771C2×C4—41no—
1772C2×C4—41no—
1773C2×C4—41no—
1774C2×C4—41no—
1775C2×C4—41no—
1776C2×C4—41no—
1777C2×C4—41no—
1778C2×C4—41no—
1779C2×C4—41no—
1780C2×C4—41no—
1781C2×C4—41no—
1782C2×C4—41no—
1783C2×C4—41no—
1784C2×C4—41no—
1785C2×C4—41no—
1786C2×C4—41no—
1787C2×C4—41no—
1788C2×C4—41no—
1789C2×C4—41no—
1790C2×C4—41no—
1791C2×C4—41no—
1792C2×C4—41no—
1793C2×C4—41no—
1794C2×C4—41no—
1795C2×C4—84no—
1796C2×C4—84no—
1797C2×C4—84no—
1798C2×C4—162no—
1799C2×C4—162no—
1800C2×C4—162no—
1801C2×C4C2×#12012yes—
1802C2×C4C2×#12012yes—
1803C2×C4C2×#12012yes—
1804C2×C4C2×#12012yes—
1805C2×C4#54612yes—
1806C2×C4C23×D411yescharacteristic
1807C2×C4C23×D411yescharacteristic
1808C2×C4C22×#4111yescharacteristic
1809C2×C4C2×H(5,𝔽2)11yescharacteristic
1810C2×C4C2×H(5,𝔽2)11yescharacteristic
1811C2×C4C2×H(5,𝔽2)11yescharacteristic
1812C8—41no—
1813C8—41no—
1814C8—41no—
1815C8—41no—
1816C8—41no—
1817C8—41no—
1818C8—41no—
1819C8—41no—
1820C22—22no—
1821C22—22no—
1822C22—22no—
1823C22—24no—
1824C22—22no—
1825C22—22no—
1826C22—22no—
1827C22—22no—
1828C22—22no—
1829C22—22no—
1830C22—22no—
1831C22—22no—
1832C22—22no—
1833C22—41no—
1834C22—41no—
1835C22—42no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—42no—
1841C22—41no—
1842C22—41no—
1843C22—42no—
1844C22—41no—
1845C22—42no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—42no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—42no—
1855C22—41no—
1856C22—42no—
1857C22—42no—
1858C22—42no—
1859C22—41no—
1860C22—41no—
1861C22—42no—
1862C22—41no—
1863C22—42no—
1864C22—42no—
1865C22—41no—
1866C22—42no—
1867C22—42no—
1868C22—42no—
1869C22—41no—
1870C22—41no—
1871C22—88no—
1872C22—816no—
1873C22—81no—
1874C22—81no—
1875C22—81no—
1876C22—81no—
1877C22—81no—
1878C22—81no—
1879C22—81no—
1880C22—81no—
1881C22—81no—
1882C22—81no—
1883C22—81no—
1884C22—81no—
1885C22—168no—
1886C22—168no—
1887C22—168no—
1888C22C22×#12011yescharacteristic
1889C22C2×#54611yescharacteristic
1890C22#348411yescharacteristic
1891C22C2×#57611yescharacteristic
1892C22#358511yescharacteristic
1893C22#358611yescharacteristic
1894C22#358611yescharacteristic
1895C4—22no—
1896C4—24no—
1897C4—22no—
1898C4—22no—
1899C4—22no—
1900C4—22no—
1901C4—41no—
1902C4—41no—
1903C4—42no—
1904C4—41no—
1905C4—41no—
1906C4—42no—
1907C4—42no—
1908C4—81no—
1909C4—81no—
1910C4—81no—
1911C4—81no—
1912C4—81no—
1913C4—81no—
1914C4—81no—
1915C4—81no—
1916C4C2×#54611yescharacteristic
1917C4C2×#54611yescharacteristic
1918C4#348411yescharacteristic
1919C4#348411yescharacteristic
1920C2—42no—
1921C2—42no—
1922C2—42no—
1923C2—42no—
1924C2—44no—
1925C2—81no—
1926C2—82no—
1927C2—82no—
1928C2—82no—
1929C2#3615211yescharacteristic
1930C2#6037011yescharacteristic
1931C2#6037211yescharacteristic
1932C2#6118011yescharacteristic
1933C2#6119111yescharacteristic
1934C2#6162411yescharacteristic
1935C2#6165411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#3488C2
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
2. C2×#3333C2semidirect
3. C2×#3314C2semidirect
4. #37838C2semidirect
5. #32963C2semidirect
6. #32886C2semidirect
7. #32883C2semidirect
8. #25896C2semidirect
9. #25885C2semidirect
10. #25865C2semidirect
11. #24452C2semidirect
12. #24448C2semidirect
13. #24443C2semidirect
14. #24433C2semidirect
15. #24393C2semidirect
16. #24385C2semidirect
17. #24252C2semidirect
18. #24246C2semidirect
19. #24220C2semidirect
20. #24051C2semidirect
21. #24049C2semidirect
22. #24046C2semidirect
23. #24032C2semidirect
24. #24011C2semidirect
25. #24002C2semidirect
26. #22427C2semidirect
27. #22422C2semidirect
28. #22400C2semidirect
29. #21465C2semidirect
30. #20602C2semidirect
31. #20601C2semidirect
36. C2×#554C22semidirect
60. C2×#489C22semidirect
61. C2×#486C22semidirect
62. C2×#484C22semidirect
63. C2×#480C22semidirect
64. C2×#480C22semidirect
65. C2×#480C22semidirect
66. C2×#477C22semidirect
67. C2×#474C22semidirect
68. C2×#468C22semidirect
69. C2×#468C22semidirect
70. C2×#468C22semidirect
71. C2×#467C22semidirect
72. C2×#464C22semidirect
73. C2×#460C22semidirect
75. C2×#452C22semidirect
76. C2×#452C22semidirect
77. C2×#452C22semidirect
78. C2×#452C22semidirect
79. C2×#452C22semidirect
80. C2×#451C22semidirect
81. C2×#450C22semidirect
82. C2×#450C22semidirect
83. C2×#450C22semidirect
84. C2×#450C22semidirect
85. C2×#440C22semidirect
86. C2×C4×Q16C22semidirect
87. C2×#436C22semidirect
88. C2×#435C22semidirect
89. C2×#417C22semidirect
90. C2×#417C22semidirect
91. C2×#417C22semidirect
92. C2×#417C22semidirect
93. C2×#417C22semidirect
94. C2×#418C22semidirect
95. C2×#416C22semidirect
96. C22×#102C22semidirect
97. C2×#408C22semidirect
98. C2×#407C22semidirect
99. #2848C22semidirect
104. #2628C22semidirect
105. #2616C22semidirect
107. #2547C22semidirect
108. #2536C22semidirect
109. #2487C22semidirect
110. #2486C22semidirect
114. #2417C22semidirect
115. #2415C22semidirect
116. #2352C22semidirect
117. #2323C22semidirect
118. #2311C22semidirect
119. C2×#380C22semidirect
120. #2042C22semidirect
121. #2042C22semidirect
122. #2042C22semidirect
123. #2041C22semidirect
124. #2041C22semidirect
125. #2041C22semidirect
126. #2036C22semidirect
127. #2036C22semidirect
128. #2036C22semidirect
129. #2033C22semidirect
130. #2033C22semidirect
131. #2033C22semidirect
132. #2033C22semidirect
133. #2033C22semidirect
134. #2033C22semidirect
135. #2033C22semidirect
136. #2033C22semidirect
137. #2033C22semidirect
138. #2015C22semidirect
139. #2014C22semidirect
140. #2001C22semidirect
141. #2000C22semidirect
142. #2000C22semidirect
143. #2000C22semidirect
144. #1983C22semidirect
145. #1982C22semidirect
146. #1961C22semidirect
147. #1958C22semidirect
148. #1955C22semidirect
149. #1954C22semidirect
150. #1895C22semidirect
151. #1895C22semidirect
152. #1894C22semidirect
153. #1893C22semidirect
154. #1878C22semidirect
155. #1877C22semidirect
156. #1875C22semidirect
157. #1874C22semidirect
158. #1874C22semidirect
159. #1873C22semidirect
160. #1872C22semidirect
161. #1870C22semidirect
162. #1870C22semidirect
163. #1870C22semidirect
164. #1869C22semidirect
165. #1863C22semidirect
166. #1863C22semidirect
167. #1863C22semidirect
168. #1862C22semidirect
169. #1862C22semidirect
170. #1862C22semidirect
171. #1852C22semidirect
172. #1852C22semidirect
173. #1852C22semidirect
174. #1805C22semidirect
175. #1804C22semidirect
176. #1798C22semidirect
180. #1788C22semidirect
181. #1788C22semidirect
182. #1788C22semidirect
183. #1788C22semidirect
184. #1788C22semidirect
185. #1788C22semidirect
186. #1788C22semidirect
187. #1788C22semidirect
188. #1788C22semidirect
189. #1787C22semidirect
190. #1787C22semidirect
191. #1787C22semidirect
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. #1763C22semidirect
205. C4×#102C22semidirect
206. #1750C22semidirect

Maximal subgroups

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

subgroupindex
C2×#34882
C2×#33332
C2×#33142
#378382
#329632
#328862
#328832
#258962
#258852
#258652
#244522
#244482
#244432
#244332
#243932
#243852
#242522
#242462
#242202
#240512
#240492
#240462
#240322
#240112
#240022
#224272
#224222
#224002
#214652
#206022
#206012