Finite Group Databasebeta

← #6513308

Subgroups — #6513308

Order 512.

3519 conjugacy classes of subgroups.

The subgroup lattice has 1861 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3543C211yesmaximal, characteristic, complemented
2C2×#3220C211yesmaximal, characteristic, complemented
3C2×#3176C211yesmaximal, characteristic, complemented
4#37276C211yesmaximal, characteristic, complemented
5#25867C211yesmaximal, characteristic, complemented
6#25860C211yesmaximal, characteristic, complemented
7#25734C211yesmaximal, characteristic, complemented
8#25721C211yesmaximal, characteristic, complemented
9#25682C211yesmaximal, characteristic, complemented
10#25675C211yesmaximal, characteristic, complemented
11#25608C211yesmaximal, characteristic, complemented
12#25605C211yesmaximal, characteristic, complemented
13#24451C211yesmaximal, characteristic, complemented
14#24444C211yesmaximal, characteristic, complemented
15#24440C211yesmaximal, characteristic, complemented
16#24440C211yesmaximal, characteristic, complemented
17#24435C211yesmaximal, characteristic, complemented
18#24428C211yesmaximal, characteristic, complemented
19#24424C211yesmaximal, characteristic, complemented
20#24424C211yesmaximal, characteristic, complemented
21#24257C211yesmaximal, characteristic, complemented
22#24248C211yesmaximal, characteristic, complemented
23#24245C211yesmaximal, characteristic, complemented
24#24236C211yesmaximal, characteristic, complemented
25#24204C211yesmaximal, characteristic, complemented
26#24196C211yesmaximal, characteristic, complemented
27#24192C211yesmaximal, characteristic, complemented
28#24184C211yesmaximal, characteristic, complemented
29#21872C211yesmaximal, characteristic, complemented
30#21381C211yesmaximal, characteristic, complemented
31#21206C211yesmaximal, characteristic, complemented
32#3543—28no—
33#3543—28no—
34C2×#560—21no—
35C2×#560—21no—
36C2×#559C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×#546—21no—
40C2×#546C2211yescharacteristic
41C2×#546C2211yescharacteristic
42C2×D42—21no—
43C2×D42C2211yescharacteristic
44C2×D42C2211yescharacteristic
45C2×D42C2211yescharacteristic
46C2×#540—21no—
47C2×#540C2211yescharacteristic
48C2×#540C2211yescharacteristic
49C2×#540C2211yescharacteristic, complemented
50C2×#535—21no—
51C2×#535C2211yescharacteristic
52C2×#535C2211yescharacteristic
53C2×#534—21no—
54C2×#534—21no—
55C22×#127C2211yescharacteristic
56C2×#529C2211yescharacteristic
57C2×#529C2211yescharacteristic
58#3220—28no—
59#3176—28no—
60C2×#499C2211yescharacteristic, complemented
61C2×#496C2211yescharacteristic, complemented
62C2×#493C2211yescharacteristic, complemented
63C2×#493C2211yescharacteristic, complemented
64C2×#490C2211yescharacteristic, complemented
65C2×#490C2211yescharacteristic, complemented
66C2×#490C2211yescharacteristic, complemented
67C2×#488C2211yescharacteristic, complemented
68C2×#469C2211yescharacteristic, complemented
69C2×#469C2211yescharacteristic, complemented
70C2×#466C2211yescharacteristic, complemented
71C2×#466C2211yescharacteristic, complemented
72C2×#463C2211yescharacteristic, complemented
73C2×#463C2211yescharacteristic, complemented
74C2×#459C2211yescharacteristic, complemented
75C2×#459C2211yescharacteristic, complemented
76C2×#449C2211yescharacteristic, complemented
77C2×#449C2211yescharacteristic, complemented
78C2×#449C2211yescharacteristic, complemented
79C2×#449C2211yescharacteristic, complemented
80C2×#447C2211yescharacteristic, complemented
81C2×#447C2211yescharacteristic, complemented
82C2×#447C2211yescharacteristic, complemented
83C2×#447C2211yescharacteristic, complemented
84C2×#447C2211yescharacteristic, complemented
85C2×#447C2211yescharacteristic, complemented
86C2×#447C2211yescharacteristic, complemented
87C2×#447C2211yescharacteristic, complemented
88C2×#442C2211yescharacteristic, complemented
89C2×#442C2211yescharacteristic, complemented
90C2×C4×D8C2211yescharacteristic, complemented
91C2×C4×D8C2211yescharacteristic, complemented
92C2×#433C2211yescharacteristic, complemented
93C2×#417C2211yescharacteristic, complemented
94C2×#418C2211yescharacteristic, complemented
95C2×#416C2211yescharacteristic, complemented
96C22×#102C2211yescharacteristic, complemented
97C2×#405C2211yescharacteristic, complemented
98#2856C2211yescharacteristic, complemented
99#2851C2211yescharacteristic, complemented
100#2707—21no—
101#2705—21no—
102#2691—21no—
103#2682—21no—
104#2681—21no—
105#2676—21no—
106#2675—21no—
107#2671—21no—
108#2629C2211yescharacteristic, complemented
109#2619C2211yescharacteristic, complemented
110#2580C2211yescharacteristic, complemented
111#2538C2211yescharacteristic, complemented
112#2537C2211yescharacteristic, complemented
113#2535C2211yescharacteristic, complemented
114#2416C2211yescharacteristic, complemented
115#2416C2211yescharacteristic, complemented
116#2414C2211yescharacteristic, complemented
117#2414C2211yescharacteristic, complemented
118#2317C2211yescharacteristic, complemented
119#2042C2211yescharacteristic, complemented
120#2042C2211yescharacteristic, complemented
121#2041C2211yescharacteristic
122#2041C2211yescharacteristic
123#2041C2211yescharacteristic, complemented
124#2041C2211yescharacteristic, complemented
125#2041C2211yescharacteristic, complemented
126#2041C2211yescharacteristic, complemented
127#2036C2211yescharacteristic, complemented
128#2035C2211yescharacteristic, complemented
129#2034C2211yescharacteristic
130#2034C2211yescharacteristic, complemented
131#2034C2211yescharacteristic, complemented
132#2033C2211yescharacteristic
133#2033C2211yescharacteristic, complemented
134#2033C2211yescharacteristic, complemented
135#2012C2211yescharacteristic, complemented
136#2012C2211yescharacteristic, complemented
137#2011C2211yescharacteristic
138#2011C2211yescharacteristic
139#2011C2211yescharacteristic, complemented
140#2011C2211yescharacteristic, complemented
141#2011C2211yescharacteristic, complemented
142#2011C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#2000C2211yescharacteristic, complemented
145#1999C2211yescharacteristic
146#1999C2211yescharacteristic
147#1999C2211yescharacteristic, complemented
148#1999C2211yescharacteristic, complemented
149#1999C2211yescharacteristic, complemented
150#1999C2211yescharacteristic, complemented
151#1992C2211yescharacteristic, complemented
152#1991C2211yescharacteristic, complemented
153#1985C2211yescharacteristic, complemented
154#1984C2211yescharacteristic, complemented
155#1961C2211yescharacteristic, complemented
156#1961C2211yescharacteristic, complemented
157#1961C2211yescharacteristic, complemented
158#1959C2211yescharacteristic, complemented
159#1959C2211yescharacteristic, complemented
160#1958C2211yescharacteristic, complemented
161#1958C2211yescharacteristic, complemented
162#1957C2211yescharacteristic, complemented
163#1957C2211yescharacteristic, complemented
164#1957C2211yescharacteristic, complemented
165#1955C2211yescharacteristic, complemented
166#1954C2211yescharacteristic, complemented
167#1880C2211yescharacteristic, complemented
168#1880C2211yescharacteristic, complemented
169#1879C2211yescharacteristic, complemented
170#1879C2211yescharacteristic, complemented
171#1879C2211yescharacteristic, complemented
172#1879C2211yescharacteristic, complemented
173#1879C2211yescharacteristic, complemented
174#1879C2211yescharacteristic, complemented
175#1875C2211yescharacteristic, complemented
176#1875C2211yescharacteristic, complemented
177#1874C2211yescharacteristic, complemented
178#1874C2211yescharacteristic, complemented
179#1870C2211yescharacteristic, complemented
180#1870C2211yescharacteristic, complemented
181#1869C2211yescharacteristic, complemented
182#1869C2211yescharacteristic, complemented
183#1865C2211yescharacteristic, complemented
184#1864C2211yescharacteristic, complemented
185#1864C2211yescharacteristic, complemented
186#1864C2211yescharacteristic, complemented
187#1863C2211yescharacteristic, complemented
188#1862C2211yescharacteristic, complemented
189#1862C2211yescharacteristic, complemented
190#1862C2211yescharacteristic, complemented
191#1804C2211yescharacteristic, complemented
192#1804C2211yescharacteristic, complemented
193#1802C2211yescharacteristic, complemented
194#1802C2211yescharacteristic, complemented
195#1788C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1786C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1786C2211yescharacteristic, complemented
202#1786C2211yescharacteristic, complemented
203#1750C2211yescharacteristic, complemented
204#1750C2211yescharacteristic, complemented
205#1749C2211yescharacteristic, complemented
206C4×C22⋊C8C2211yescharacteristic, complemented
207C22×#41—21no—
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C23×D4—21no—
211C23×D4—21no—
212C23×D4—21no—
213C23×D4—21no—
214C23×D4—21no—
215C23×D4C2311yescharacteristic
216C23×D4C2311yescharacteristic
217C23×D4C2311yescharacteristic
218C23×D4C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C22×D8C2311yescharacteristic
229C22×D8C2311yescharacteristic
230C22×D8C2311yescharacteristic
231C22×M16C2311yescharacteristic
232C23×C8C2311yescharacteristic
233#560—216no—
234#560—216no—
235#559—24no—
236#559—24no—
237#550—24no—
238#550—24no—
239#550—24no—
240#550—24no—
241#546—216no—
242#546—24no—
243#546—24no—
244#546—24no—
245#546—24no—
246D42—216no—
247D42—24no—
248D42—24no—
249D42—24no—
250D42—24no—
251D42—24no—
252D42—24no—
253#540—216no—
254#540—24no—
255#540—24no—
256#540—24no—
257#540—24no—
258#540—24no—
259#540D418yescomplemented
260#535—216no—
261#535—24no—
262#535—24no—
263#535—24no—
264#535D418yescomplemented
265#534—216no—
266#534—216no—
267C2×#127—21no—
268C2×#127—24no—
269C2×#127—24no—
270C2×#127—21no—
271C2×#127—21no—
272C2×#127C2311yescharacteristic
273C2×#127C2311yescharacteristic
274C2×#127C2311yescharacteristic
275C2×#127C2311yescharacteristic
276C2×#127C2311yescharacteristic
277C2×#127C2311yescharacteristic
278C2×#127C2311yescharacteristic
279#529—24no—
280#529—24no—
281#529—24no—
282#529—24no—
283C2×#126—21no—
284C2×#126D411yescharacteristic
285C2×#126D411yescharacteristic
286C2×#125D411yescharacteristic
287C2×#125C2311yescharacteristic
288C2×#125C2311yescharacteristic
289C2×#124—21no—
290C2×#124D411yescharacteristic
291C2×#124C2311yescharacteristic
292C2×#124C2311yescharacteristic
293C2×#124C2311yescharacteristic
294C2×#123—21no—
295C2×#123—21no—
296C2×#123—21no—
297C2×#123—21no—
298C2×#123—21no—
299C2×#123—21no—
300C2×#123—21no—
301C2×#123—21no—
302C2×#123—21no—
303C2×#123—21no—
304C2×#123—21no—
305C2×#123D411yescharacteristic
306C2×#123D411yescharacteristic
307C2×C22⋊Q8—21no—
308C2×C22⋊Q8D411yescharacteristic
309C2×C22⋊Q8C2311yescharacteristic
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×#121—21no—
320C2×#121—21no—
321C2×#121—21no—
322C2×#121—21no—
323C2×#121—21no—
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×#121—21no—
335C2×#121D411yescharacteristic
336C2×#121C2311yescharacteristic
337C2×#121C2311yescharacteristic
338C2×#121C2311yescharacteristic
339C2×#121C2311yescharacteristic
340C2×#121C2311yescharacteristic
341C2×#121C2311yescharacteristic
342C2×#121C2311yescharacteristic
343C2×#121C2311yescharacteristic
344C2×#121C2311yescharacteristic
345C2×#121C2311yescharacteristic
346C2×#121C2311yescharacteristic
347C2×#120—21no—
348C2×#120—21no—
349C2×#120—21no—
350C2×#120—21no—
351C2×#120—21no—
352C2×#120—21no—
353C2×#120—21no—
354C2×#120—21no—
355C2×#120—21no—
356C2×#120—21no—
357C2×#120—21no—
358C2×#120—21no—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
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×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×#117—21no—
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C22×C4⋊C4C2311yescharacteristic
379C22×C22⋊C4—21no—
380C22×C22⋊C4—21no—
381C22×C42C2311yescharacteristic
382#499—24no—
383#496—24no—
384#493—24no—
385#493—24no—
386#490—24no—
387#490—24no—
388#490—24no—
389#488—24no—
390#469—24no—
391#469—24no—
392#466—24no—
393#466—24no—
394#463—24no—
395#463—24no—
396#459—24no—
397#459—24no—
398#449—24no—
399#449—24no—
400#449—42no—
401#449—42no—
402#447—24no—
403#447—24no—
404#447—42no—
405#447—42no—
406#447—42no—
407#447—42no—
408#447—42no—
409#447—42no—
410#442—24no—
411#442—24no—
412C4×D8—24no—
413C4×D8—24no—
414#433—24no—
415C2×#107C2311yescharacteristic
416C2×#107C2311yescharacteristic
417C2×#106C2311yescharacteristic
418C2×#106C2311yescharacteristic
419C2×C4⋊C8C2311yescharacteristic
420C2×C4⋊C8C2311yescharacteristic
421#418—42no—
422#417—42no—
423#416—42no—
424C2×#103C2311yescharacteristic
425C2×#103C2311yescharacteristic
426C2×#103C2311yescharacteristic
427C2×#103C2311yescharacteristic
428C2×#103C2311yescharacteristic
429C2×#103C2311yescharacteristic
430C2×#102—42no—
431C2×#102C2311yescharacteristic
432C2×#102C2311yescharacteristic
433C2×#102C2311yescharacteristic
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
463C2×#102C2311yescharacteristic
464C2×#102C2311yescharacteristic
465C2×C22⋊C8C2311yescharacteristic
466C2×C22⋊C8C2311yescharacteristic
467C2×C22⋊C8C2311yescharacteristic
468C2×C22⋊C8C2311yescharacteristic
469C2×C22⋊C8C2311yescharacteristic
470C2×C22⋊C8C2311yescharacteristic
471C2×C22⋊C8C2311yescharacteristic
472C2×C22⋊C8C2311yescharacteristic
473C2×C22⋊C8C2311yescharacteristic
474C2×C22⋊C8C2311yescharacteristic
475#405—24no—
476C2×#97C2311yescharacteristic
477C2×#97C2311yescharacteristic
478C2×#97C2311yescharacteristic
479C2×C4×C8C2311yescharacteristic
480C2×C4×C8C2311yescharacteristic
481C2×C4×C8C2311yescharacteristic
482#399—21no—
483#398—21no—
484#398—21no—
485#397—21no—
486#396—21no—
487#396—21no—
488#396—21no—
489#396—21no—
490#396—21no—
491#396—21no—
492#394—21no—
493#394—21no—
494#394—21no—
495#394—21no—
496#394—21no—
497#394—21no—
498#394—21no—
499#394—21no—
500#393—21no—
501#392—21no—
502#392—21no—
503#392—21no—
504#392—21no—
505#392—21no—
506#390—21no—
507#390—21no—
508#390—21no—
509#390—21no—
510#390C2311yescharacteristic
511#390C2311yescharacteristic
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#389—21no—
515#389—21no—
516#389C2311yescharacteristic
517#389C2311yescharacteristic
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#388—21no—
521#388—21no—
522#387—21no—
523#387—21no—
524#386—21no—
525#386—21no—
526#386—21no—
527#386—21no—
528#385—21no—
529#385—21no—
530#385—21no—
531#385—21no—
532#385—21no—
533#385—21no—
534#384C2311yescharacteristic
535#384C2311yescharacteristic
536#382C2311yescharacteristic
537#382C2311yescharacteristic
538#380—21no—
539#380—21no—
540#380C2311yescharacteristic
541#380C2311yescharacteristic
542#380C2311yescharacteristic
543#380C2311yescharacteristic
544#340C2311yescharacteristic
545#340C2311yescharacteristic
546#340C2311yescharacteristic
547#340C2311yescharacteristic
548#340C2311yescharacteristic
549#340C2311yescharacteristic
550#340C2311yescharacteristic
551#340C2311yescharacteristic
552#336C2311yescharacteristic
553#336C2311yescharacteristic
554#336C2311yescharacteristic
555#336C2311yescharacteristic
556#336C2311yescharacteristic
557#336C2311yescharacteristic
558#336C2311yescharacteristic
559#336C2311yescharacteristic
560C25—21no—
561C25—21no—
562C25—21no—
563C25—21no—
564C2×#41—28no—
565C2×#41—22no—
566C2×#41—22no—
567C2×#41—22no—
568C2×#41—41no—
569C2×#41—41no—
570C2×#41—41no—
571C2×#41—41no—
572C2×#41—41no—
573C2×#41—41no—
574C2×#41—41no—
575C2×#41—41no—
576C2×#41—82no—
577C2×#41—82no—
578C2×#41C2×D414yes—
579C22×Q8C2×D411yescharacteristic
580C22×Q8C2411yescharacteristic
581C22×D4—21no—
582C22×D4—28no—
583C22×D4—28no—
584C22×D4—28no—
585C22×D4—28no—
586C22×D4—28no—
587C22×D4—21no—
588C22×D4—21no—
589C22×D4—21no—
590C22×D4—21no—
591C22×D4—21no—
592C22×D4—21no—
593C22×D4—22no—
594C22×D4—22no—
595C22×D4—22no—
596C22×D4—22no—
597C22×D4—22no—
598C22×D4—22no—
599C22×D4—21no—
600C22×D4—21no—
601C22×D4—21no—
602C22×D4—21no—
603C22×D4—21no—
604C22×D4—21no—
605C22×D4—21no—
606C22×D4—21no—
607C22×D4—21no—
608C22×D4—21no—
609C22×D4—21no—
610C22×D4—21no—
611C22×D4—21no—
612C22×D4—21no—
613C22×D4—21no—
614C22×D4—21no—
615C22×D4—21no—
616C22×D4—21no—
617C22×D4—21no—
618C22×D4—21no—
619C22×D4—21no—
620C22×D4—21no—
621C22×D4—22no—
622C22×D4—21no—
623C22×D4—21no—
624C22×D4—41no—
625C22×D4—41no—
626C22×D4—41no—
627C22×D4—41no—
628C22×D4—41no—
629C22×D4—41no—
630C22×D4—41no—
631C22×D4—41no—
632C22×D4—41no—
633C22×D4—41no—
634C22×D4—41no—
635C22×D4—41no—
636C22×D4—41no—
637C22×D4—41no—
638C22×D4—41no—
639C22×D4—41no—
640C22×D4—82no—
641C22×D4—82no—
642C22×D4—82no—
643C22×D4—82no—
644C22×D4—82no—
645C22×D4—82no—
646C22×D4—82no—
647C22×D4—82no—
648C22×D4—82no—
649C22×D4—82no—
650C22×D4C2×D411yescharacteristic
651C22×D4C2×D411yescharacteristic
652C22×D4C2×D411yescharacteristic
653C22×D4C2×D414yes—
654C22×D4C2411yescharacteristic
655C22×D4C2411yescharacteristic
656C22×D4C2411yescharacteristic
657C22×D4C2411yescharacteristic
658C22×D4C2411yescharacteristic
659C22×D4C2411yescharacteristic
660C22×D4C2411yescharacteristic
661C23×C4—21no—
662C23×C4—21no—
663C23×C4—21no—
664C23×C4—21no—
665C23×C4—21no—
666C23×C4—21no—
667C23×C4—21no—
668C23×C4—21no—
669C23×C4—21no—
670C23×C4—21no—
671C23×C4C2×D411yescharacteristic
672C23×C4C2×D411yescharacteristic
673C23×C4C2411yescharacteristic
674C23×C4C2411yescharacteristic
675C23×C4C2411yescharacteristic
676C2×SD16—22no—
677C2×SD16—22no—
678C2×SD16—41no—
679C2×SD16—41no—
680C2×SD16—41no—
681C2×SD16—41no—
682C2×D8—22no—
683C2×D8—22no—
684C2×D8—22no—
685C2×D8—22no—
686C2×D8—22no—
687C2×D8—22no—
688C2×D8—22no—
689C2×D8—22no—
690C2×D8—22no—
691C2×D8—22no—
692C2×D8—22no—
693C2×D8—22no—
694C2×D8—22no—
695C2×D8—22no—
696C2×D8—41no—
697C2×D8—41no—
698C2×D8—41no—
699C2×D8—41no—
700C2×D8—41no—
701C2×D8—41no—
702C2×D8—41no—
703C2×D8—41no—
704C2×D8—41no—
705C2×D8—41no—
706C2×D8—41no—
707C2×D8—41no—
708C2×D8—41no—
709C2×D8—41no—
710C2×D8—41no—
711C2×D8—41no—
712C2×M16—22no—
713C2×M16—22no—
714C2×M16—41no—
715C22×C8—22no—
716C22×C8—22no—
717C22×C8—41no—
718C22×C8C2411yescharacteristic
719C22×C8C2411yescharacteristic
720C22×C8C2411yescharacteristic
721C22×C8C2411yescharacteristic
722C22×C8C2411yescharacteristic
723C22×C8C2411yescharacteristic
724C22×C8C2411yescharacteristic
725C22×C8C2411yescharacteristic
726#127—28no—
727#127—28no—
728#127—28no—
729#127—22no—
730#127—22no—
731#127—22no—
732#127—22no—
733#127—22no—
734#127—22no—
735#127—22no—
736#127—22no—
737#127—22no—
738#127—22no—
739#127—22no—
740#127C2×D414yes—
741#127C2×D414yes—
742#127C2×D414yes—
743#126—28no—
744#126—24no—
745#126—24no—
746#125—24no—
747#125—22no—
748#125—22no—
749#125—22no—
750#125C2×D414yes—
751#124—28no—
752#124—22no—
753#124—22no—
754#124—24no—
755#124—22no—
756#124—22no—
757#124C2×D414yes—
758#124C2×D414yes—
759#123—28no—
760#123—28no—
761#123—28no—
762#123—28no—
763#123—28no—
764#123—28no—
765#123—28no—
766#123—28no—
767#123—28no—
768#123—24no—
769#123—24no—
770#123—44no—
771#123—44no—
772C22⋊Q8—22no—
773C22⋊Q8—24no—
774C22⋊Q8—22no—
775C22⋊Q8—82no—
776#121—28no—
777#121—28no—
778#121—28no—
779#121—28no—
780#121—28no—
781#121—28no—
782#121—28no—
783#121—28no—
784#121—28no—
785#121—28no—
786#121—28no—
787#121—28no—
788#121—28no—
789#121—28no—
790#121—22no—
791#121—22no—
792#121—22no—
793#121—22no—
794#121—22no—
795#121—28no—
796#121—28no—
797#121—22no—
798#121—22no—
799#121—22no—
800#121—28no—
801#121—28no—
802#121—24no—
803#121—22no—
804#121—22no—
805#121—22no—
806#121—22no—
807#121—44no—
808#121—44no—
809#121—41no—
810#121—41no—
811#121—41no—
812#121—41no—
813#121—41no—
814#121—41no—
815#121—41no—
816#121—41no—
817#121—82no—
818#121—82no—
819#121—82no—
820#121—82no—
821#121—82no—
822#121C2×D414yes—
823#121C2×D414yes—
824#120—28no—
825#120—28no—
826#120—28no—
827#120—28no—
828#120—28no—
829#120—28no—
830#120—28no—
831#120—28no—
832#120—28no—
833#120—28no—
834#120—28no—
835#120—28no—
836C4×Q8—22no—
837C4×Q8—22no—
838C4×Q8—22no—
839C4×Q8—22no—
840C4×D4—28no—
841C4×D4—28no—
842C4×D4—28no—
843C4×D4—22no—
844C4×D4—22no—
845C4×D4—22no—
846C4×D4—22no—
847C4×D4—22no—
848C4×D4—22no—
849C4×D4—22no—
850C4×D4—22no—
851C4×D4—22no—
852C4×D4—22no—
853C4×D4—22no—
854C4×D4—22no—
855C4×D4—22no—
856C4×D4—22no—
857C4×D4—22no—
858C4×D4—22no—
859C4×D4—22no—
860C4×D4—22no—
861C4×D4C2×D414yes—
862C4×D4C2×D414yes—
863#117—28no—
864#117—22no—
865#117—22no—
866#117—41no—
867#117—41no—
868#117C2×D414yes—
869#117C2×D414yes—
870C2×C4⋊C4—21no—
871C2×C4⋊C4—21no—
872C2×C4⋊C4—21no—
873C2×C4⋊C4—21no—
874C2×C4⋊C4—21no—
875C2×C4⋊C4—21no—
876C2×C4⋊C4—21no—
877C2×C4⋊C4—21no—
878C2×C4⋊C4—21no—
879C2×C4⋊C4—21no—
880C2×C4⋊C4—21no—
881C2×C4⋊C4—21no—
882C2×C4⋊C4—21no—
883C2×C4⋊C4—21no—
884C2×C4⋊C4—21no—
885C2×C4⋊C4—41no—
886C2×C4⋊C4—41no—
887C2×C4⋊C4C2×D411yescharacteristic
888C2×C4⋊C4C2×D411yescharacteristic
889C2×C4⋊C4C2×D411yescharacteristic
890C2×C4⋊C4C2×D411yescharacteristic
891C2×C4⋊C4C2×D411yescharacteristic
892C2×C4⋊C4C2×D411yescharacteristic
893C2×C4⋊C4C2×D411yescharacteristic
894C2×C4⋊C4C2×D411yescharacteristic
895C2×C4⋊C4C2×D411yescharacteristic
896C2×C4⋊C4C2×D411yescharacteristic
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C22⋊C4—28no—
906C2×C22⋊C4—28no—
907C2×C22⋊C4—21no—
908C2×C22⋊C4—21no—
909C2×C22⋊C4—21no—
910C2×C22⋊C4—21no—
911C2×C22⋊C4—21no—
912C2×C22⋊C4—21no—
913C2×C22⋊C4—21no—
914C2×C22⋊C4—21no—
915C2×C22⋊C4—21no—
916C2×C22⋊C4—21no—
917C2×C22⋊C4—21no—
918C2×C22⋊C4—21no—
919C2×C22⋊C4—21no—
920C2×C22⋊C4—21no—
921C2×C22⋊C4—21no—
922C2×C22⋊C4—21no—
923C2×C22⋊C4—21no—
924C2×C22⋊C4—21no—
925C2×C22⋊C4—21no—
926C2×C22⋊C4—21no—
927C2×C22⋊C4—21no—
928C2×C22⋊C4—21no—
929C2×C22⋊C4—21no—
930C2×C22⋊C4—21no—
931C2×C22⋊C4—21no—
932C2×C22⋊C4—21no—
933C2×C22⋊C4—21no—
934C2×C22⋊C4—21no—
935C2×C22⋊C4—21no—
936C2×C22⋊C4—21no—
937C2×C22⋊C4—21no—
938C2×C22⋊C4—21no—
939C2×C22⋊C4—21no—
940C2×C22⋊C4—21no—
941C2×C22⋊C4—21no—
942C2×C22⋊C4—21no—
943C2×C22⋊C4—21no—
944C2×C22⋊C4—21no—
945C2×C22⋊C4C2×D411yescharacteristic
946C2×C22⋊C4C2×D411yescharacteristic
947C2×C22⋊C4C2×D411yescharacteristic
948C2×C22⋊C4C2×D411yescharacteristic
949C2×C22⋊C4C2×D411yescharacteristic
950C2×C22⋊C4C2×D411yescharacteristic
951C2×C22⋊C4C2×D411yescharacteristic
952C2×C22⋊C4C2×D411yescharacteristic
953C2×C22⋊C4C2×D411yescharacteristic
954C2×C22⋊C4C2×D411yescharacteristic
955C2×C42—21no—
956C2×C42—22no—
957C2×C42—22no—
958C2×C42—21no—
959C2×C42C2×D411yescharacteristic
960C2×C42C2×D411yescharacteristic
961C2×C42C2411yescharacteristic
962C2×C42C2411yescharacteristic
963C2×C42C2411yescharacteristic
964C2×C42C2411yescharacteristic
965#107—22no—
966#107—22no—
967#106—22no—
968#106—22no—
969C4⋊C8—22no—
970C4⋊C8—22no—
971#103—22no—
972#103—22no—
973#103—22no—
974#103—22no—
975#103—41no—
976#103—41no—
977#102—22no—
978#102—22no—
979#102—22no—
980#102—22no—
981#102—22no—
982#102—22no—
983#102—22no—
984#102—22no—
985#102—22no—
986#102—22no—
987#102—22no—
988#102—22no—
989#102—22no—
990#102—22no—
991#102—22no—
992#102—22no—
993#102—22no—
994#102—22no—
995#102—22no—
996#102—22no—
997#102—41no—
998#102—41no—
999#102—41no—
1000#102—41no—
1001#102—41no—
1002#102—41no—
1003#102—41no—
1004#102—41no—
1005#102—41no—
1006#102—41no—
1007#102—41no—
1008#102—41no—
1009#102—41no—
1010#102—41no—
1011C22⋊C8—22no—
1012C22⋊C8—22no—
1013C22⋊C8—22no—
1014C22⋊C8—22no—
1015C22⋊C8—22no—
1016C22⋊C8—22no—
1017C22⋊C8—41no—
1018C22⋊C8—41no—
1019C22⋊C8—41no—
1020C22⋊C8—41no—
1021#97—22no—
1022#97—22no—
1023#97—22no—
1024C4×C8—22no—
1025C4×C8—22no—
1026C4×C8—22no—
1027#95—21no—
1028#95—21no—
1029#95—21no—
1030#95—21no—
1031#95—21no—
1032#95—21no—
1033#95—21no—
1034#95—21no—
1035#95—21no—
1036#95—21no—
1037#95—21no—
1038#95—21no—
1039C24—24no—
1040C24—24no—
1041C24—24no—
1042C24—21no—
1043C24—21no—
1044C24—21no—
1045C24—21no—
1046C24—21no—
1047C24—24no—
1048C24—21no—
1049C24—21no—
1050C24—42no—
1051C24—42no—
1052C24—42no—
1053C24—42no—
1054C24—81no—
1055C24—81no—
1056C24—81no—
1057C24—81no—
1058C24—81no—
1059C24—81no—
1060C24—81no—
1061C24—81no—
1062C24—81no—
1063C24—81no—
1064C24—81no—
1065C24—81no—
1066C24—81no—
1067C24—81no—
1068C24—81no—
1069C24—81no—
1070C24—81no—
1071C24—81no—
1072C24—81no—
1073C24—81no—
1074C24C22×D411yescharacteristic
1075C24C22×D411yescharacteristic
1076C24C22×D411yescharacteristic
1077#41—44no—
1078#41—44no—
1079#41—82no—
1080#41—82no—
1081#41—82no—
1082#41—82no—
1083#41—82no—
1084#41—82no—
1085#41—816no—
1086C2×Q8—22no—
1087C2×Q8—22no—
1088C2×Q8—21no—
1089C2×Q8—21no—
1090C2×Q8—21no—
1091C2×Q8—21no—
1092C2×Q8—21no—
1093C2×Q8—41no—
1094C2×Q8C22×D412yes—
1095C2×D4—24no—
1096C2×D4—24no—
1097C2×D4—24no—
1098C2×D4—22no—
1099C2×D4—22no—
1100C2×D4—22no—
1101C2×D4—22no—
1102C2×D4—24no—
1103C2×D4—24no—
1104C2×D4—24no—
1105C2×D4—24no—
1106C2×D4—24no—
1107C2×D4—24no—
1108C2×D4—24no—
1109C2×D4—24no—
1110C2×D4—24no—
1111C2×D4—24no—
1112C2×D4—24no—
1113C2×D4—24no—
1114C2×D4—24no—
1115C2×D4—22no—
1116C2×D4—24no—
1117C2×D4—24no—
1118C2×D4—24no—
1119C2×D4—24no—
1120C2×D4—24no—
1121C2×D4—24no—
1122C2×D4—24no—
1123C2×D4—22no—
1124C2×D4—21no—
1125C2×D4—21no—
1126C2×D4—21no—
1127C2×D4—21no—
1128C2×D4—21no—
1129C2×D4—21no—
1130C2×D4—21no—
1131C2×D4—21no—
1132C2×D4—21no—
1133C2×D4—21no—
1134C2×D4—21no—
1135C2×D4—21no—
1136C2×D4—21no—
1137C2×D4—21no—
1138C2×D4—21no—
1139C2×D4—21no—
1140C2×D4—21no—
1141C2×D4—21no—
1142C2×D4—21no—
1143C2×D4—21no—
1144C2×D4—21no—
1145C2×D4—21no—
1146C2×D4—21no—
1147C2×D4—21no—
1148C2×D4—21no—
1149C2×D4—21no—
1150C2×D4—21no—
1151C2×D4—21no—
1152C2×D4—21no—
1153C2×D4—21no—
1154C2×D4—21no—
1155C2×D4—21no—
1156C2×D4—21no—
1157C2×D4—21no—
1158C2×D4—21no—
1159C2×D4—21no—
1160C2×D4—21no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C2×D4—42no—
1178C2×D4—82no—
1179C2×D4—82no—
1180C2×D4—81no—
1181C2×D4—81no—
1182C2×D4—81no—
1183C2×D4—81no—
1184C2×D4—81no—
1185C2×D4—81no—
1186C2×D4—81no—
1187C2×D4—81no—
1188C2×D4—81no—
1189C2×D4—81no—
1190C2×D4—81no—
1191C2×D4—81no—
1192C2×D4—81no—
1193C2×D4—81no—
1194C2×D4—81no—
1195C2×D4—81no—
1196C2×D4—81no—
1197C2×D4—81no—
1198C2×D4—81no—
1199C2×D4—81no—
1200C2×D4—81no—
1201C2×D4—81no—
1202C2×D4—81no—
1203C2×D4—81no—
1204C2×D4—81no—
1205C2×D4—81no—
1206C2×D4—81no—
1207C2×D4—81no—
1208C2×D4—81no—
1209C2×D4—81no—
1210C2×D4—81no—
1211C2×D4—81no—
1212C2×D4—82no—
1213C2×D4—82no—
1214C2×D4—82no—
1215C2×D4—82no—
1216C2×D4—82no—
1217C2×D4—82no—
1218C2×D4—82no—
1219C2×D4—82no—
1220C2×D4—82no—
1221C2×D4—82no—
1222C2×D4—82no—
1223C2×D4—82no—
1224C2×D4—816no—
1225C2×D4—816no—
1226C2×D4—81no—
1227C2×D4—81no—
1228C2×D4—81no—
1229C2×D4—81no—
1230C2×D4—81no—
1231C2×D4—81no—
1232C2×D4—81no—
1233C2×D4—81no—
1234C2×D4—81no—
1235C2×D4—81no—
1236C2×D4—81no—
1237C2×D4—81no—
1238C2×D4—816no—
1239C2×D4—81no—
1240C2×D4—81no—
1241C2×D4—81no—
1242C2×D4—81no—
1243C2×D4—81no—
1244C2×D4—81no—
1245C2×D4—81no—
1246C2×D4—81no—
1247C2×D4—81no—
1248C2×D4—81no—
1249C2×D4—81no—
1250C2×D4—81no—
1251C2×D4—81no—
1252C2×D4—81no—
1253C2×D4—816no—
1254C2×D4—816no—
1255C2×D4C22×D412yes—
1256C2×D4C22×D412yes—
1257C2×D4C22×D412yes—
1258C2×D4C22×D412yes—
1259C2×D4C22×D412yes—
1260C22×C4—21no—
1261C22×C4—21no—
1262C22×C4—21no—
1263C22×C4—21no—
1264C22×C4—24no—
1265C22×C4—22no—
1266C22×C4—21no—
1267C22×C4—21no—
1268C22×C4—21no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—21no—
1276C22×C4—21no—
1277C22×C4—21no—
1278C22×C4—21no—
1279C22×C4—21no—
1280C22×C4—21no—
1281C22×C4—21no—
1282C22×C4—21no—
1283C22×C4—21no—
1284C22×C4—21no—
1285C22×C4—21no—
1286C22×C4—21no—
1287C22×C4—24no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—21no—
1291C22×C4—21no—
1292C22×C4—21no—
1293C22×C4—21no—
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—81no—
1303C22×C4—81no—
1304C22×C4—81no—
1305C22×C4—81no—
1306C22×C4—81no—
1307C22×C4—81no—
1308C22×C4—81no—
1309C22×C4—81no—
1310C22×C4—81no—
1311C22×C4—81no—
1312C22×C4—81no—
1313C22×C4—81no—
1314C22×C4—81no—
1315C22×C4—81no—
1316C22×C4—81no—
1317C22×C4—81no—
1318C22×C4—81no—
1319C22×C4—81no—
1320C22×C4—81no—
1321C22×C4C22×D411yescharacteristic
1322C22×C4C22×D411yescharacteristic
1323C22×C4C22×D411yescharacteristic
1324C22×C4C22×D411yescharacteristic
1325C22×C4C22×D411yescharacteristic
1326C22×C4C22×D411yescharacteristic
1327C22×C4C22×D411yescharacteristic
1328C22×C4C22×D411yescharacteristic
1329C22×C4C22×D411yescharacteristic
1330C22×C4C22×D411yescharacteristic
1331C22×C4C22×D412yes—
1332C22×C4C22×D412yes—
1333C22×C4C22×D411yescharacteristic
1334C22×C4C2511yescharacteristic
1335SD16—82no—
1336SD16—82no—
1337D8—44no—
1338D8—44no—
1339D8—44no—
1340D8—44no—
1341D8—82no—
1342D8—82no—
1343D8—82no—
1344D8—82no—
1345D8—82no—
1346D8—82no—
1347M16—44no—
1348C2×C8—21no—
1349C2×C8—21no—
1350C2×C8—21no—
1351C2×C8—21no—
1352C2×C8—21no—
1353C2×C8—21no—
1354C2×C8—21no—
1355C2×C8—21no—
1356C2×C8—21no—
1357C2×C8—21no—
1358C2×C8—21no—
1359C2×C8—21no—
1360C2×C8—21no—
1361C2×C8—21no—
1362C2×C8—21no—
1363C2×C8—21no—
1364C2×C8—21no—
1365C2×C8—21no—
1366C2×C8—21no—
1367C2×C8—21no—
1368C2×C8—21no—
1369C2×C8—21no—
1370C2×C8—44no—
1371C2×C8H(5,𝔽2)12yes—
1372C2×C8H(5,𝔽2)12yes—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—21no—
1391C4⋊C4—21no—
1392C4⋊C4—21no—
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—81no—
1403C4⋊C4—81no—
1404C4⋊C4—81no—
1405C4⋊C4—81no—
1406C4⋊C4—81no—
1407C4⋊C4—81no—
1408C4⋊C4—81no—
1409C4⋊C4—81no—
1410C4⋊C4#12014yes—
1411C4⋊C4#12014yes—
1412C4⋊C4C22×D412yes—
1413C4⋊C4C22×D412yes—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—81no—
1447C22⋊C4—81no—
1448C22⋊C4—81no—
1449C22⋊C4—81no—
1450C22⋊C4—81no—
1451C22⋊C4—81no—
1452C22⋊C4—81no—
1453C22⋊C4—81no—
1454C22⋊C4—81no—
1455C22⋊C4—81no—
1456C22⋊C4—81no—
1457C22⋊C4—81no—
1458C22⋊C4—81no—
1459C22⋊C4—81no—
1460C22⋊C4#12014yes—
1461C22⋊C4#12014yes—
1462C42—24no—
1463C42—22no—
1464C42—22no—
1465C42—21no—
1466C42—21no—
1467C42—21no—
1468C42—21no—
1469C42—81no—
1470C42C22×D412yes—
1471C42C22×D412yes—
1472C42C22×D412yes—
1473C42C22×D412yes—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—48no—
1499C23—48no—
1500C23—41no—
1501C23—41no—
1502C23—41no—
1503C23—41no—
1504C23—41no—
1505C23—41no—
1506C23—41no—
1507C23—41no—
1508C23—41no—
1509C23—41no—
1510C23—41no—
1511C23—41no—
1512C23—41no—
1513C23—41no—
1514C23—41no—
1515C23—41no—
1516C23—41no—
1517C23—41no—
1518C23—41no—
1519C23—41no—
1520C23—41no—
1521C23—41no—
1522C23—41no—
1523C23—41no—
1524C23—41no—
1525C23—41no—
1526C23—41no—
1527C23—41no—
1528C23—41no—
1529C23—41no—
1530C23—41no—
1531C23—41no—
1532C23—41no—
1533C23—41no—
1534C23—41no—
1535C23—41no—
1536C23—41no—
1537C23—41no—
1538C23—41no—
1539C23—41no—
1540C23—41no—
1541C23—41no—
1542C23—41no—
1543C23—41no—
1544C23—84no—
1545C23—84no—
1546C23—84no—
1547C23—84no—
1548C23—84no—
1549C23—84no—
1550C23—84no—
1551C23—84no—
1552C23—84no—
1553C23—84no—
1554C23—162no—
1555C23—162no—
1556C23—162no—
1557C23—162no—
1558C23—162no—
1559C23—162no—
1560C23—162no—
1561C23—162no—
1562C23—162no—
1563C23—162no—
1564C23—162no—
1565C23—162no—
1566C23—162no—
1567C23—162no—
1568C23—162no—
1569C23—162no—
1570C23C2×#12012yes—
1571C23#57612yes—
1572C23C23×D411yescharacteristic
1573Q8—22no—
1574Q8—22no—
1575Q8—44no—
1576Q8—41no—
1577Q8—41no—
1578D4—22no—
1579D4—22no—
1580D4—22no—
1581D4—22no—
1582D4—22no—
1583D4—22no—
1584D4—22no—
1585D4—22no—
1586D4—22no—
1587D4—22no—
1588D4—44no—
1589D4—44no—
1590D4—48no—
1591D4—48no—
1592D4—44no—
1593D4—48no—
1594D4—41no—
1595D4—41no—
1596D4—41no—
1597D4—41no—
1598D4—41no—
1599D4—41no—
1600D4—41no—
1601D4—41no—
1602D4—41no—
1603D4—41no—
1604D4—41no—
1605D4—41no—
1606D4—41no—
1607D4—41no—
1608D4—41no—
1609D4—41no—
1610D4—41no—
1611D4—41no—
1612D4—84no—
1613D4—84no—
1614D4—84no—
1615D4—84no—
1616D4—84no—
1617D4—84no—
1618D4—84no—
1619D4—84no—
1620D4—84no—
1621D4—84no—
1622D4—84no—
1623D4—84no—
1624D4—84no—
1625D4—84no—
1626D4—84no—
1627D4—84no—
1628D4—84no—
1629D4—84no—
1630D4—84no—
1631D4—84no—
1632D4—162no—
1633D4—162no—
1634D4—162no—
1635D4—162no—
1636D4—162no—
1637D4—162no—
1638D4—162no—
1639D4—162no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—22no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—44no—
1675C2×C4—44no—
1676C2×C4—48no—
1677C2×C4—41no—
1678C2×C4—41no—
1679C2×C4—41no—
1680C2×C4—41no—
1681C2×C4—41no—
1682C2×C4—41no—
1683C2×C4—41no—
1684C2×C4—41no—
1685C2×C4—41no—
1686C2×C4—41no—
1687C2×C4—41no—
1688C2×C4—41no—
1689C2×C4—41no—
1690C2×C4—41no—
1691C2×C4—41no—
1692C2×C4—41no—
1693C2×C4—41no—
1694C2×C4—41no—
1695C2×C4—41no—
1696C2×C4—41no—
1697C2×C4—41no—
1698C2×C4—41no—
1699C2×C4—41no—
1700C2×C4—41no—
1701C2×C4—41no—
1702C2×C4—41no—
1703C2×C4—41no—
1704C2×C4—41no—
1705C2×C4—41no—
1706C2×C4—41no—
1707C2×C4—41no—
1708C2×C4—41no—
1709C2×C4—84no—
1710C2×C4—84no—
1711C2×C4—84no—
1712C2×C4—84no—
1713C2×C4—84no—
1714C2×C4—84no—
1715C2×C4—162no—
1716C2×C4—162no—
1717C2×C4—162no—
1718C2×C4C2×#12012yes—
1719C2×C4C2×#12012yes—
1720C2×C4C2×#12012yes—
1721C2×C4C2×#12012yes—
1722C2×C4C2×#12012yes—
1723C2×C4#57612yes—
1724C2×C4C23×D411yescharacteristic
1725C2×C4C23×D411yescharacteristic
1726C2×C4C2×H(5,𝔽2)11yescharacteristic
1727C2×C4C2×H(5,𝔽2)11yescharacteristic
1728C2×C4#58511yescharacteristic
1729C2×C4#58511yescharacteristic
1730C8—22no—
1731C8—22no—
1732C8—41no—
1733C8—41no—
1734C8—41no—
1735C8—41no—
1736C8—41no—
1737C8—41no—
1738C22—22no—
1739C22—22no—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—22no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—42no—
1756C22—42no—
1757C22—42no—
1758C22—42no—
1759C22—42no—
1760C22—42no—
1761C22—42no—
1762C22—42no—
1763C22—42no—
1764C22—42no—
1765C22—41no—
1766C22—41no—
1767C22—42no—
1768C22—42no—
1769C22—42no—
1770C22—42no—
1771C22—42no—
1772C22—41no—
1773C22—41no—
1774C22—81no—
1775C22—81no—
1776C22—81no—
1777C22—81no—
1778C22—81no—
1779C22—81no—
1780C22—81no—
1781C22—81no—
1782C22—81no—
1783C22—81no—
1784C22—81no—
1785C22—81no—
1786C22—81no—
1787C22—81no—
1788C22—81no—
1789C22—81no—
1790C22—81no—
1791C22—81no—
1792C22—81no—
1793C22—81no—
1794C22—81no—
1795C22—81no—
1796C22—81no—
1797C22—81no—
1798C22—81no—
1799C22—81no—
1800C22—81no—
1801C22—81no—
1802C22—81no—
1803C22—81no—
1804C22—81no—
1805C22—81no—
1806C22—81no—
1807C22—81no—
1808C22—168no—
1809C22—168no—
1810C22—168no—
1811C22—168no—
1812C22C22×#12011yescharacteristic
1813C22#349811yescharacteristic
1814C22#350011yescharacteristic
1815C22C2×#57611yescharacteristic
1816C22C2×#57611yescharacteristic
1817C22#358511yescharacteristic
1818C22#358511yescharacteristic
1819C4—22no—
1820C4—22no—
1821C4—22no—
1822C4—22no—
1823C4—22no—
1824C4—22no—
1825C4—41no—
1826C4—41no—
1827C4—42no—
1828C4—41no—
1829C4—41no—
1830C4—41no—
1831C4—42no—
1832C4—42no—
1833C4—81no—
1834C4—81no—
1835C4—81no—
1836C4—81no—
1837C4—81no—
1838C4—81no—
1839C4#348811yescharacteristic
1840C4#348811yescharacteristic
1841C4#349611yescharacteristic
1842C4#349611yescharacteristic
1843C2—42no—
1844C2—42no—
1845C2—81no—
1846C2—82no—
1847C2—82no—
1848C2—82no—
1849C2—82no—
1850C2—82no—
1851C2—161no—
1852C2—161no—
1853C2#3551311yescharacteristic
1854C2#6037211yescharacteristic
1855C2#6037211yescharacteristic
1856C2#6243111yescharacteristic
1857C2#6244111yescharacteristic
1858C2#6259811yescharacteristic
1859C2#6261011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#529 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3543C2semidirect
2. C2×#3220C2semidirect
3. C2×#3176C2semidirect
4. #37276C2semidirect
5. #25867C2semidirect
6. #25860C2semidirect
7. #25734C2semidirect
8. #25721C2semidirect
9. #25682C2semidirect
10. #25675C2semidirect
11. #25608C2semidirect
12. #25605C2semidirect
13. #24451C2semidirect
14. #24444C2semidirect
15. #24440C2semidirect
16. #24440C2semidirect
17. #24435C2semidirect
18. #24428C2semidirect
19. #24424C2semidirect
20. #24424C2semidirect
21. #24257C2semidirect
22. #24248C2semidirect
23. #24245C2semidirect
24. #24236C2semidirect
25. #24204C2semidirect
26. #24196C2semidirect
27. #24192C2semidirect
28. #24184C2semidirect
29. #21872C2semidirect
30. #21381C2semidirect
31. #21206C2semidirect
49. C2×#540C22semidirect
60. C2×#499C22semidirect
61. C2×#496C22semidirect
62. C2×#493C22semidirect
63. C2×#493C22semidirect
64. C2×#490C22semidirect
65. C2×#490C22semidirect
66. C2×#490C22semidirect
67. C2×#488C22semidirect
68. C2×#469C22semidirect
69. C2×#469C22semidirect
70. C2×#466C22semidirect
71. C2×#466C22semidirect
72. C2×#463C22semidirect
73. C2×#463C22semidirect
74. C2×#459C22semidirect
75. C2×#459C22semidirect
76. C2×#449C22semidirect
77. C2×#449C22semidirect
78. C2×#449C22semidirect
79. C2×#449C22semidirect
80. C2×#447C22semidirect
81. C2×#447C22semidirect
82. C2×#447C22semidirect
83. C2×#447C22semidirect
84. C2×#447C22semidirect
85. C2×#447C22semidirect
86. C2×#447C22semidirect
87. C2×#447C22semidirect
88. C2×#442C22semidirect
89. C2×#442C22semidirect
90. C2×C4×D8C22semidirect
91. C2×C4×D8C22semidirect
92. C2×#433C22semidirect
93. C2×#417C22semidirect
94. C2×#418C22semidirect
95. C2×#416C22semidirect
96. C22×#102C22semidirect
97. C2×#405C22semidirect
98. #2856C22semidirect
99. #2851C22semidirect
108. #2629C22semidirect
109. #2619C22semidirect
110. #2580C22semidirect
111. #2538C22semidirect
112. #2537C22semidirect
113. #2535C22semidirect
114. #2416C22semidirect
115. #2416C22semidirect
116. #2414C22semidirect
117. #2414C22semidirect
118. #2317C22semidirect
119. #2042C22semidirect
120. #2042C22semidirect
123. #2041C22semidirect
124. #2041C22semidirect
125. #2041C22semidirect
126. #2041C22semidirect
127. #2036C22semidirect
128. #2035C22semidirect
130. #2034C22semidirect
131. #2034C22semidirect
133. #2033C22semidirect
134. #2033C22semidirect
135. #2012C22semidirect
136. #2012C22semidirect
139. #2011C22semidirect
140. #2011C22semidirect
141. #2011C22semidirect
142. #2011C22semidirect
143. #2000C22semidirect
144. #2000C22semidirect
147. #1999C22semidirect
148. #1999C22semidirect
149. #1999C22semidirect
150. #1999C22semidirect
151. #1992C22semidirect
152. #1991C22semidirect
153. #1985C22semidirect
154. #1984C22semidirect
155. #1961C22semidirect
156. #1961C22semidirect
157. #1961C22semidirect
158. #1959C22semidirect
159. #1959C22semidirect
160. #1958C22semidirect
161. #1958C22semidirect
162. #1957C22semidirect
163. #1957C22semidirect
164. #1957C22semidirect
165. #1955C22semidirect
166. #1954C22semidirect
167. #1880C22semidirect
168. #1880C22semidirect
169. #1879C22semidirect
170. #1879C22semidirect
171. #1879C22semidirect
172. #1879C22semidirect
173. #1879C22semidirect
174. #1879C22semidirect
175. #1875C22semidirect
176. #1875C22semidirect
177. #1874C22semidirect
178. #1874C22semidirect
179. #1870C22semidirect
180. #1870C22semidirect
181. #1869C22semidirect
182. #1869C22semidirect
183. #1865C22semidirect
184. #1864C22semidirect
185. #1864C22semidirect
186. #1864C22semidirect
187. #1863C22semidirect
188. #1862C22semidirect
189. #1862C22semidirect
190. #1862C22semidirect
191. #1804C22semidirect
192. #1804C22semidirect
193. #1802C22semidirect
194. #1802C22semidirect
195. #1788C22semidirect
196. #1788C22semidirect
197. #1786C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
201. #1786C22semidirect
202. #1786C22semidirect
203. #1750C22semidirect
204. #1750C22semidirect
205. #1749C22semidirect
206. C4×C22⋊C8C22semidirect
259. #540D4semidirect
264. #535D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35432
C2×#32202
C2×#31762
#372762
#258672
#258602
#257342
#257212
#256822
#256752
#256082
#256052
#244512
#244442
#244402
#244352
#244282
#244242
#242572
#242482
#242452
#242362
#242042
#241962
#241922
#241842
#218722
#213812
#212062