Finite Group Databasebeta

← #6500263

Subgroups — #6500263

Order 512.

3587 conjugacy classes of subgroups.

The subgroup lattice has 1865 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3549C211yesmaximal, characteristic, complemented
2C2×#3198C211yesmaximal, characteristic, complemented
3C2×#3062C211yesmaximal, characteristic, complemented
4#37272C211yesmaximal, characteristic, complemented
5#25554C211yesmaximal, characteristic, complemented
6#25552C211yesmaximal, characteristic, complemented
7#25538C211yesmaximal, characteristic, complemented
8#25536C211yesmaximal, characteristic, complemented
9#25502C211yesmaximal, characteristic, complemented
10#25501C211yesmaximal, characteristic, complemented
11#25496C211yesmaximal, characteristic, complemented
12#25495C211yesmaximal, characteristic, complemented
13#24448C211yesmaximal, characteristic, complemented
14#24440C211yesmaximal, characteristic, complemented
15#24432C211yesmaximal, characteristic, complemented
16#24424C211yesmaximal, characteristic, complemented
17#24394C211yesmaximal, characteristic, complemented
18#24394C211yesmaximal, characteristic, complemented
19#24390C211yesmaximal, characteristic, complemented
20#24390C211yesmaximal, characteristic, complemented
21#24105C211yesmaximal, characteristic, complemented
22#24104C211yesmaximal, characteristic, complemented
23#24033C211yesmaximal, characteristic, complemented
24#24032C211yesmaximal, characteristic, complemented
25#23965C211yesmaximal, characteristic, complemented
26#23965C211yesmaximal, characteristic, complemented
27#23860C211yesmaximal, characteristic, complemented
28#23860C211yesmaximal, characteristic, complemented
29#21770C211yesmaximal, characteristic, complemented
30#20975C211yesmaximal, characteristic, complemented
31#20900C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C22×#131C2211yescharacteristic, complemented
34#3549—28no—
35#3549—28no—
36C2×H(3,𝔽4)—21no—
37C2×H(3,𝔽4)—21no—
38C2×#555—21no—
39C2×#555C2211yescharacteristic
40C2×#555C2211yescharacteristic
41C2×#555C2211yescharacteristic
42C2×#555C2211yescharacteristic
43C2×D42—21no—
44C2×D42C2211yescharacteristic
45C2×D42C2211yescharacteristic
46C2×D42C2211yescharacteristic
47C2×D42C2211yescharacteristic
48C2×#537C2211yescharacteristic, complemented
49C2×#535—21no—
50C2×#535—21no—
51C2×#535—21no—
52C2×#535—21no—
53C2×#535C2211yescharacteristic
54C2×#535C2211yescharacteristic
55C2×#535C2211yescharacteristic
56C2×#535C2211yescharacteristic
57C2×#532C2211yescharacteristic
58C2×#532C2211yescharacteristic
59C2×#532C2211yescharacteristic
60#3198—28no—
61C2×#481C2211yescharacteristic, complemented
62C2×#485C2211yescharacteristic, complemented
63C2×#482C2211yescharacteristic, complemented
64C2×#480C2211yescharacteristic, complemented
65#3062—28no—
66C2×#469C2211yescharacteristic, complemented
67C2×#469C2211yescharacteristic, complemented
68C2×#469C2211yescharacteristic, complemented
69C2×#468C2211yescharacteristic, complemented
70C2×#468C2211yescharacteristic, complemented
71C2×#468C2211yescharacteristic, complemented
72C2×#466C2211yescharacteristic, complemented
73C2×#466C2211yescharacteristic, complemented
74C2×#466C2211yescharacteristic, complemented
75C2×#465C2211yescharacteristic, complemented
76C2×#465C2211yescharacteristic, complemented
77C2×#465C2211yescharacteristic, complemented
78C2×#449C2211yescharacteristic, complemented
79C2×#449C2211yescharacteristic, complemented
80C2×#450C2211yescharacteristic, complemented
81C2×#450C2211yescharacteristic, complemented
82C2×#450C2211yescharacteristic, complemented
83C2×#447C2211yescharacteristic, complemented
84C2×#447C2211yescharacteristic, complemented
85C2×#447C2211yescharacteristic, complemented
86C2×#428C2211yescharacteristic, complemented
87C2×#418C2211yescharacteristic, complemented
88C2×#416C2211yescharacteristic, complemented
89C22×#102C2211yescharacteristic, complemented
90C22×#102C2211yescharacteristic, complemented
91C2×#408C2211yescharacteristic, complemented
92C2×#408C2211yescharacteristic, complemented
93C2×#408C2211yescharacteristic, complemented
94#2855C2211yescharacteristic, complemented
95#2854C2211yescharacteristic, complemented
96#2730—21no—
97#2729—21no—
98#2699—21no—
99#2688—21no—
100#2686—21no—
101#2682—21no—
102#2673—21no—
103#2671—21no—
104#2616C2211yescharacteristic, complemented
105#2615C2211yescharacteristic, complemented
106#2487C2211yescharacteristic, complemented
107#2486C2211yescharacteristic, complemented
108#2417C2211yescharacteristic, complemented
109#2416C2211yescharacteristic, complemented
110#2415C2211yescharacteristic, complemented
111#2414C2211yescharacteristic, complemented
112#2407C2211yescharacteristic, complemented
113#2407C2211yescharacteristic, complemented
114#2311C2211yescharacteristic, complemented
115#2058C2211yescharacteristic, complemented
116#2058C2211yescharacteristic, complemented
117#2057C2211yescharacteristic, complemented
118#2057C2211yescharacteristic, complemented
119#2041C2211yescharacteristic
120#2041C2211yescharacteristic
121#2041C2211yescharacteristic
122#2041C2211yescharacteristic
123#2034C2211yescharacteristic, complemented
124#2034C2211yescharacteristic, complemented
125#2034C2211yescharacteristic, complemented
126#2034C2211yescharacteristic, complemented
127#2033C2211yescharacteristic, complemented
128#2033C2211yescharacteristic, complemented
129#2033C2211yescharacteristic, complemented
130#2033C2211yescharacteristic, complemented
131#2024C2211yescharacteristic, complemented
132#2024C2211yescharacteristic, complemented
133#2023C2211yescharacteristic, complemented
134#2023C2211yescharacteristic, complemented
135#2014C2211yescharacteristic
136#2014C2211yescharacteristic
137#2011C2211yescharacteristic
138#2011C2211yescharacteristic
139#2000C2211yescharacteristic, complemented
140#2000C2211yescharacteristic, complemented
141#2000C2211yescharacteristic, complemented
142#2000C2211yescharacteristic, complemented
143#1999C2211yescharacteristic, complemented
144#1999C2211yescharacteristic, complemented
145#1999C2211yescharacteristic, complemented
146#1999C2211yescharacteristic, complemented
147#1895C2211yescharacteristic, complemented
148#1895C2211yescharacteristic, complemented
149#1895C2211yescharacteristic, complemented
150#1895C2211yescharacteristic, complemented
151#1895C2211yescharacteristic, complemented
152#1895C2211yescharacteristic, complemented
153#1893C2211yescharacteristic, complemented
154#1893C2211yescharacteristic, complemented
155#1893C2211yescharacteristic, complemented
156#1893C2211yescharacteristic, complemented
157#1893C2211yescharacteristic, complemented
158#1893C2211yescharacteristic, complemented
159#1879C2211yescharacteristic, complemented
160#1879C2211yescharacteristic, complemented
161#1879C2211yescharacteristic, complemented
162#1879C2211yescharacteristic, complemented
163#1877C2211yescharacteristic, complemented
164#1877C2211yescharacteristic, complemented
165#1877C2211yescharacteristic, complemented
166#1877C2211yescharacteristic, complemented
167#1875C2211yescharacteristic, complemented
168#1875C2211yescharacteristic, complemented
169#1875C2211yescharacteristic, complemented
170#1875C2211yescharacteristic, complemented
171#1874C2211yescharacteristic, complemented
172#1874C2211yescharacteristic, complemented
173#1873C2211yescharacteristic, complemented
174#1873C2211yescharacteristic, complemented
175#1870C2211yescharacteristic, complemented
176#1870C2211yescharacteristic, complemented
177#1870C2211yescharacteristic, complemented
178#1870C2211yescharacteristic, complemented
179#1869C2211yescharacteristic, complemented
180#1869C2211yescharacteristic, complemented
181#1869C2211yescharacteristic, complemented
182#1869C2211yescharacteristic, complemented
183#1864C2211yescharacteristic, complemented
184#1864C2211yescharacteristic, complemented
185#1864C2211yescharacteristic, complemented
186#1864C2211yescharacteristic, complemented
187#1862C2211yescharacteristic, complemented
188#1862C2211yescharacteristic, complemented
189#1862C2211yescharacteristic, complemented
190#1862C2211yescharacteristic, complemented
191#1854C2211yescharacteristic, complemented
192#1854C2211yescharacteristic, complemented
193#1854C2211yescharacteristic, complemented
194#1854C2211yescharacteristic, complemented
195#1825C2211yescharacteristic, complemented
196#1825C2211yescharacteristic, complemented
197#1786C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1786C2211yescharacteristic, complemented
202#1786C2211yescharacteristic, complemented
203#1736C2211yescharacteristic, complemented
204#1735C2211yescharacteristic, complemented
205#1728C2211yescharacteristic, complemented
206C2×#336C2211yescharacteristic, complemented
207C22×#41—21no—
208C22×#41—21no—
209C22×#41C2311yescharacteristic
210C22×#41C2311yescharacteristic
211C22×#41C2311yescharacteristic
212C23×D4—21no—
213C23×D4—21no—
214C23×D4—21no—
215C23×D4—21no—
216C23×D4C2311yescharacteristic
217C23×D4C2311yescharacteristic
218C23×D4C2311yescharacteristic
219C23×D4C2311yescharacteristic
220C2×AGL(1,ℤ/8)—24no—
221C2×AGL(1,ℤ/8)—42no—
222C2×AGL(1,ℤ/8)—42no—
223C22×SD16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C22×D8C2311yescharacteristic
229C22×D8C2311yescharacteristic
230C22×D8C2311yescharacteristic
231C2×#131—24no—
232C2×#131—42no—
233C2×#131—42no—
234C22×M16C2311yescharacteristic
235C22×M16C2311yescharacteristic
236C22×M16C2311yescharacteristic
237C22×M16C2311yescharacteristic
238C23×C8C2311yescharacteristic
239C23×C8C2311yescharacteristic
240C23×C8C2311yescharacteristic
241C23×C8C2311yescharacteristic
242H(3,𝔽4)—216no—
243H(3,𝔽4)—216no—
244#555—216no—
245#555—24no—
246#555—24no—
247#555—24no—
248#555—24no—
249#555—24no—
250#555—24no—
251#555—24no—
252#555—24no—
253D42—216no—
254D42—24no—
255D42—24no—
256D42—24no—
257D42—24no—
258D42—24no—
259D42—24no—
260D42—24no—
261D42—24no—
262#537—24no—
263#537—24no—
264#535—216no—
265#535—216no—
266#535—216no—
267#535—216no—
268#535—24no—
269#535—24no—
270#535—24no—
271#535—24no—
272#535—24no—
273#535—24no—
274#535D418yescomplemented
275#535D418yescomplemented
276#532—24no—
277#532—24no—
278#532—24no—
279#532—24no—
280#532—24no—
281#532—24no—
282C2×C4⋊Q8D411yescharacteristic
283C2×C4⋊Q8C2311yescharacteristic
284C2×C4⋊Q8C2311yescharacteristic
285C2×#127—21no—
286C2×#127—21no—
287C2×#127—21no—
288C2×#127—21no—
289C2×#127D411yescharacteristic
290C2×#127C2311yescharacteristic
291C2×#127C2311yescharacteristic
292C2×#124—21no—
293C2×#124—21no—
294C2×#124—21no—
295C2×#124—21no—
296C2×#124—21no—
297C2×#124—21no—
298C2×#124—21no—
299C2×#124—21no—
300C2×#124—21no—
301C2×#124—21no—
302C2×#124—21no—
303C2×#124—21no—
304C2×#124—21no—
305C2×#124—21no—
306C2×#124D411yescharacteristic
307C2×#124D411yescharacteristic
308C2×#123—21no—
309C2×#123—21no—
310C2×C22⋊Q8—21no—
311C2×C22⋊Q8C2311yescharacteristic
312C2×C22⋊Q8C2311yescharacteristic
313C2×C22⋊Q8C2311yescharacteristic
314C2×C22⋊Q8C2311yescharacteristic
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×#121D411yescharacteristic
330C2×#121D411yescharacteristic
331C2×#121D411yescharacteristic
332C2×#121D411yescharacteristic
333C2×#121C2311yescharacteristic
334C2×#121C2311yescharacteristic
335C2×#121C2311yescharacteristic
336C2×#121C2311yescharacteristic
337C2×#121C2311yescharacteristic
338C2×#121C2311yescharacteristic
339C2×#121C2311yescharacteristic
340C2×#121C2311yescharacteristic
341C2×#121C2311yescharacteristic
342C2×#121C2311yescharacteristic
343C2×#121C2311yescharacteristic
344C2×#121C2311yescharacteristic
345C2×#121C2311yescharacteristic
346C2×#121C2311yescharacteristic
347C2×#121C2311yescharacteristic
348C2×#121C2311yescharacteristic
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×#120—21no—
360C2×#120—21no—
361C2×#120—21no—
362C2×#120—21no—
363C2×#120—21no—
364C2×#120—21no—
365C2×C4×D4—21no—
366C2×C4×D4—21no—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×#117—21no—
376C2×#117—21no—
377C2×#117—21no—
378C2×#117—21no—
379C2×#117C2311yescharacteristic
380C2×#117C2311yescharacteristic
381C2×#117C2311yescharacteristic
382C2×#117C2311yescharacteristic
383C2×#117C2311yescharacteristic
384C22×C4⋊C4C2311yescharacteristic
385C22×C4⋊C4C2311yescharacteristic
386C22×C42C2311yescharacteristic
387#485—24no—
388#482—24no—
389#481—24no—
390#480—24no—
391#469—24no—
392#469—24no—
393#469—24no—
394#468—24no—
395#468—24no—
396#468—24no—
397#466—24no—
398#466—24no—
399#466—24no—
400#465—24no—
401#465—24no—
402#465—24no—
403#450—24no—
404#450—42no—
405#450—42no—
406#449—24no—
407#449—24no—
408#447—24no—
409#447—42no—
410#447—42no—
411#428—24no—
412C2×#107C2311yescharacteristic
413C2×#107C2311yescharacteristic
414C2×#107C2311yescharacteristic
415C2×#107C2311yescharacteristic
416C2×#106C2311yescharacteristic
417C2×#106C2311yescharacteristic
418C2×#106C2311yescharacteristic
419C2×#106C2311yescharacteristic
420#418—42no—
421#416—24no—
422C2×#103C2311yescharacteristic
423C2×#103C2311yescharacteristic
424C2×#103C2311yescharacteristic
425C2×#103C2311yescharacteristic
426C2×#102—24no—
427C2×#102—42no—
428C2×#102C2311yescharacteristic
429C2×#102C2311yescharacteristic
430C2×#102C2311yescharacteristic
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
456#408—24no—
457#408—42no—
458#408—42no—
459C2×C22⋊C8C2311yescharacteristic
460C2×C22⋊C8C2311yescharacteristic
461C2×C22⋊C8C2311yescharacteristic
462C2×C22⋊C8C2311yescharacteristic
463C2×C22⋊C8C2311yescharacteristic
464C2×C22⋊C8C2311yescharacteristic
465C2×C22⋊C8C2311yescharacteristic
466C2×C22⋊C8C2311yescharacteristic
467C2×C22⋊C8C2311yescharacteristic
468C2×C22⋊C8C2311yescharacteristic
469C2×C22⋊C8C2311yescharacteristic
470C2×C22⋊C8C2311yescharacteristic
471#400—21no—
472#399—21no—
473#398—21no—
474#398—21no—
475#397—21no—
476#397—21no—
477#396—21no—
478#396—21no—
479#395—21no—
480#394—21no—
481#394—21no—
482#394—21no—
483#394—21no—
484#394—21no—
485#394—21no—
486#394—21no—
487#394—21no—
488#393—21no—
489#392—21no—
490#392—21no—
491#392—21no—
492#392—21no—
493#392—21no—
494#392—21no—
495#391—21no—
496#391C2311yescharacteristic
497#391C2311yescharacteristic
498#390—21no—
499#390—21no—
500#390C2311yescharacteristic
501#390C2311yescharacteristic
502#389—21no—
503#389C2311yescharacteristic
504#389C2311yescharacteristic
505#389C2311yescharacteristic
506#389C2311yescharacteristic
507#388—21no—
508#388—21no—
509#388—21no—
510#388—21no—
511#387—21no—
512#387—21no—
513#386—21no—
514#386—21no—
515#386—21no—
516#386—21no—
517#386—21no—
518#386—21no—
519#386—21no—
520#386—21no—
521#385—21no—
522#385—21no—
523#385—21no—
524#385—21no—
525#381—21no—
526#381—21no—
527#380—21no—
528#380C2311yescharacteristic
529#380C2311yescharacteristic
530#380C2311yescharacteristic
531#380C2311yescharacteristic
532#380C2311yescharacteristic
533#380C2311yescharacteristic
534#380C2311yescharacteristic
535#380C2311yescharacteristic
536#340C2311yescharacteristic
537#340C2311yescharacteristic
538#340C2311yescharacteristic
539#340C2311yescharacteristic
540#340C2311yescharacteristic
541#340C2311yescharacteristic
542#340C2311yescharacteristic
543#340C2311yescharacteristic
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—28no—
566C2×#41—22no—
567C2×#41—22no—
568C2×#41—22no—
569C2×#41—22no—
570C2×#41—41no—
571C2×#41—41no—
572C2×#41—41no—
573C2×#41—41no—
574C2×#41—41no—
575C2×#41—41no—
576C2×#41—41no—
577C2×#41—41no—
578C2×#41—41no—
579C2×#41—41no—
580C2×#41—41no—
581C2×#41—41no—
582C2×#41—82no—
583C2×#41—82no—
584C2×#41—82no—
585C2×#41—82no—
586C2×#41C2×D414yes—
587C2×#41C2×D414yes—
588C22×Q8—21no—
589C22×Q8—21no—
590C22×Q8C2×D411yescharacteristic
591C22×Q8C2×D411yescharacteristic
592C22×Q8C2411yescharacteristic
593C22×D4—28no—
594C22×D4—28no—
595C22×D4—28no—
596C22×D4—28no—
597C22×D4—21no—
598C22×D4—21no—
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—22no—
610C22×D4—22no—
611C22×D4—22no—
612C22×D4—22no—
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—21no—
622C22×D4—21no—
623C22×D4—21no—
624C22×D4—21no—
625C22×D4—21no—
626C22×D4—22no—
627C22×D4—22no—
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—41no—
641C22×D4—41no—
642C22×D4—41no—
643C22×D4—41no—
644C22×D4—82no—
645C22×D4—82no—
646C22×D4—82no—
647C22×D4—82no—
648C22×D4—82no—
649C22×D4—82no—
650C22×D4—82no—
651C22×D4—82no—
652C22×D4C2×D411yescharacteristic
653C22×D4C2×D411yescharacteristic
654C22×D4C2×D411yescharacteristic
655C22×D4C2×D411yescharacteristic
656C22×D4C2×D411yescharacteristic
657C22×D4C2×D411yescharacteristic
658C22×D4C2×D411yescharacteristic
659C22×D4C2×D414yes—
660C22×D4C2×D414yes—
661C22×D4C2×D411yescharacteristic
662C22×D4C2×D411yescharacteristic
663C22×D4C2×D411yescharacteristic
664C22×D4C2411yescharacteristic
665C22×D4C2411yescharacteristic
666C22×D4C2411yescharacteristic
667C22×D4C2411yescharacteristic
668C22×D4C2411yescharacteristic
669C23×C4—21no—
670C23×C4—21no—
671C23×C4—21no—
672C23×C4—21no—
673C23×C4—21no—
674C23×C4—21no—
675C23×C4—21no—
676C23×C4C2×D411yescharacteristic
677C23×C4C2×D411yescharacteristic
678C23×C4C2411yescharacteristic
679C23×C4C2411yescharacteristic
680C23×C4C2411yescharacteristic
681C23×C4C2411yescharacteristic
682C23×C4C2411yescharacteristic
683AGL(1,ℤ/8)—416no—
684C2×SD16—22no—
685C2×SD16—22no—
686C2×SD16—22no—
687C2×SD16—22no—
688C2×SD16—22no—
689C2×SD16—22no—
690C2×SD16—41no—
691C2×SD16—41no—
692C2×SD16—41no—
693C2×SD16—41no—
694C2×SD16—41no—
695C2×SD16—41no—
696C2×D8—22no—
697C2×D8—22no—
698C2×D8—22no—
699C2×D8—22no—
700C2×D8—22no—
701C2×D8—22no—
702C2×D8—41no—
703C2×D8—41no—
704C2×D8—41no—
705C2×D8—41no—
706C2×D8—41no—
707C2×D8—41no—
708#131—416no—
709C2×M16—22no—
710C2×M16—22no—
711C2×M16—22no—
712C2×M16—22no—
713C2×M16—22no—
714C2×M16—22no—
715C2×M16—22no—
716C2×M16—22no—
717C2×M16—41no—
718C2×M16—41no—
719C2×M16—41no—
720C2×M16—41no—
721C22×C8—22no—
722C22×C8—22no—
723C22×C8—22no—
724C22×C8—22no—
725C22×C8—22no—
726C22×C8—22no—
727C22×C8—41no—
728C22×C8—41no—
729C22×C8—41no—
730C22×C8—41no—
731C22×C8—41no—
732C22×C8—41no—
733C22×C8C2411yescharacteristic
734C22×C8C2411yescharacteristic
735C22×C8C2411yescharacteristic
736C22×C8C2411yescharacteristic
737C22×C8C2411yescharacteristic
738C22×C8C2411yescharacteristic
739C22×C8C2411yescharacteristic
740C22×C8C2411yescharacteristic
741C4⋊Q8—24no—
742C4⋊Q8—22no—
743C4⋊Q8—22no—
744C4⋊Q8—22no—
745C4⋊Q8—22no—
746#127—28no—
747#127—28no—
748#127—28no—
749#127—28no—
750#127—24no—
751#127—22no—
752#127—22no—
753#127—22no—
754#127—22no—
755#124—28no—
756#124—28no—
757#124—28no—
758#124—28no—
759#124—28no—
760#124—28no—
761#124—28no—
762#124—28no—
763#124—28no—
764#124—28no—
765#124—28no—
766#124—28no—
767#124—28no—
768#124—28no—
769#124—24no—
770#124—24no—
771#123—82no—
772#123—82no—
773C22⋊Q8—22no—
774C22⋊Q8—22no—
775C22⋊Q8—22no—
776C22⋊Q8—22no—
777C22⋊Q8—44no—
778C22⋊Q8—41no—
779C22⋊Q8—41no—
780C22⋊Q8—41no—
781C22⋊Q8—41no—
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—28no—
791#121—28no—
792#121—24no—
793#121—24no—
794#121—24no—
795#121—24no—
796#121—22no—
797#121—22no—
798#121—22no—
799#121—22no—
800#121—22no—
801#121—22no—
802#121—22no—
803#121—22no—
804#121—22no—
805#121—22no—
806#121—22no—
807#121—22no—
808#121—22no—
809#121—22no—
810#121—22no—
811#121—22no—
812#121—22no—
813#121—22no—
814#121—22no—
815#121—22no—
816#121—44no—
817#121—44no—
818#121—44no—
819#121—41no—
820#121—41no—
821#121—41no—
822#121—41no—
823#121—82no—
824#121C2×D414yes—
825#121C2×D414yes—
826#121C2×D414yes—
827#121C2×D414yes—
828#121C2×D414yes—
829#121C2×D414yes—
830#121C2×D414yes—
831#121C2×D414yes—
832#120—28no—
833#120—28no—
834#120—28no—
835#120—28no—
836#120—28no—
837#120—28no—
838#120—28no—
839#120—28no—
840#120—28no—
841#120—28no—
842#120—28no—
843#120—28no—
844#120—28no—
845#120—28no—
846#120—28no—
847#120—28no—
848C4×D4—28no—
849C4×D4—28no—
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×D4—22no—
862C4×D4—22no—
863C4×D4—22no—
864C4×D4—22no—
865C4×D4—22no—
866#117—28no—
867#117—28no—
868#117—28no—
869#117—28no—
870#117—22no—
871#117—22no—
872#117—22no—
873#117—22no—
874#117—22no—
875#117—22no—
876#117—41no—
877#117—41no—
878#117C2×D414yes—
879#117C2×D414yes—
880C2×C4⋊C4—21no—
881C2×C4⋊C4—21no—
882C2×C4⋊C4—22no—
883C2×C4⋊C4—22no—
884C2×C4⋊C4—21no—
885C2×C4⋊C4—21no—
886C2×C4⋊C4—21no—
887C2×C4⋊C4—21no—
888C2×C4⋊C4—21no—
889C2×C4⋊C4—21no—
890C2×C4⋊C4—21no—
891C2×C4⋊C4—21no—
892C2×C4⋊C4—21no—
893C2×C4⋊C4—21no—
894C2×C4⋊C4—41no—
895C2×C4⋊C4—41no—
896C2×C4⋊C4C2×D411yescharacteristic
897C2×C4⋊C4C2×D411yescharacteristic
898C2×C4⋊C4C2×D411yescharacteristic
899C2×C4⋊C4C2×D411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
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⋊C4—21no—
946C2×C22⋊C4—21no—
947C2×C22⋊C4—21no—
948C2×C22⋊C4—21no—
949C2×C22⋊C4—21no—
950C2×C22⋊C4—21no—
951C2×C22⋊C4C2×D411yescharacteristic
952C2×C22⋊C4C2×D411yescharacteristic
953C2×C22⋊C4C2×D411yescharacteristic
954C2×C22⋊C4C2×D411yescharacteristic
955C2×C22⋊C4C2×D411yescharacteristic
956C2×C22⋊C4C2×D411yescharacteristic
957C2×C22⋊C4C2×D411yescharacteristic
958C2×C22⋊C4C2×D411yescharacteristic
959C2×C42—21no—
960C2×C42—21no—
961C2×C42—21no—
962C2×C42—21no—
963C2×C42—22no—
964C2×C42—22no—
965C2×C42—21no—
966C2×C42C2×D411yescharacteristic
967C2×C42C2×D411yescharacteristic
968C2×C42C2411yescharacteristic
969C2×C42C2411yescharacteristic
970#107—22no—
971#107—22no—
972#107—22no—
973#107—22no—
974#106—22no—
975#106—22no—
976#106—22no—
977#106—22no—
978#103—22no—
979#103—22no—
980#103—22no—
981#103—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—22no—
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—
1010C22⋊C8—22no—
1011C22⋊C8—22no—
1012C22⋊C8—22no—
1013C22⋊C8—22no—
1014C22⋊C8—22no—
1015C22⋊C8—22no—
1016C22⋊C8—22no—
1017C22⋊C8—22no—
1018C22⋊C8—41no—
1019C22⋊C8—41no—
1020C22⋊C8—41no—
1021C22⋊C8—41no—
1022#95—21no—
1023#95—21no—
1024#95—21no—
1025#95—21no—
1026#95—21no—
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—
1038C24—24no—
1039C24—24no—
1040C24—21no—
1041C24—21no—
1042C24—21no—
1043C24—21no—
1044C24—24no—
1045C24—24no—
1046C24—21no—
1047C24—81no—
1048C24—81no—
1049C24—81no—
1050C24—81no—
1051C24—81no—
1052C24—81no—
1053C24—81no—
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—
1071C24C22×D411yescharacteristic
1072C24C22×D411yescharacteristic
1073C24C22×D411yescharacteristic
1074C24C22×D411yescharacteristic
1075C24C22×D411yescharacteristic
1076#41—44no—
1077#41—44no—
1078#41—44no—
1079#41—44no—
1080#41—44no—
1081#41—44no—
1082#41—82no—
1083#41—82no—
1084#41—82no—
1085#41—82no—
1086#41—82no—
1087#41—82no—
1088#41—816no—
1089#41—816no—
1090C2×Q8—24no—
1091C2×Q8—24no—
1092C2×Q8—22no—
1093C2×Q8—21no—
1094C2×Q8—21no—
1095C2×Q8—21no—
1096C2×Q8—21no—
1097C2×Q8—21no—
1098C2×Q8—21no—
1099C2×Q8—41no—
1100C2×Q8—41no—
1101C2×Q8—41no—
1102C2×Q8—41no—
1103C2×Q8—81no—
1104C2×Q8—81no—
1105C2×Q8—81no—
1106C2×Q8—81no—
1107C2×Q8#12014yes—
1108C2×D4—24no—
1109C2×D4—24no—
1110C2×D4—22no—
1111C2×D4—22no—
1112C2×D4—22no—
1113C2×D4—22no—
1114C2×D4—24no—
1115C2×D4—24no—
1116C2×D4—24no—
1117C2×D4—24no—
1118C2×D4—24no—
1119C2×D4—24no—
1120C2×D4—24no—
1121C2×D4—24no—
1122C2×D4—22no—
1123C2×D4—22no—
1124C2×D4—24no—
1125C2×D4—24no—
1126C2×D4—24no—
1127C2×D4—24no—
1128C2×D4—24no—
1129C2×D4—24no—
1130C2×D4—24no—
1131C2×D4—24no—
1132C2×D4—22no—
1133C2×D4—24no—
1134C2×D4—24no—
1135C2×D4—22no—
1136C2×D4—22no—
1137C2×D4—22no—
1138C2×D4—22no—
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—21no—
1162C2×D4—21no—
1163C2×D4—21no—
1164C2×D4—21no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—41no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—42no—
1180C2×D4—42no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—42no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4—82no—
1193C2×D4—82no—
1194C2×D4—82no—
1195C2×D4—82no—
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—82no—
1209C2×D4—82no—
1210C2×D4—82no—
1211C2×D4—82no—
1212C2×D4—82no—
1213C2×D4—82no—
1214C2×D4—82no—
1215C2×D4—82no—
1216C2×D4—816no—
1217C2×D4—816no—
1218C2×D4—816no—
1219C2×D4—816no—
1220C2×D4—81no—
1221C2×D4—81no—
1222C2×D4—81no—
1223C2×D4—81no—
1224C2×D4—81no—
1225C2×D4—81no—
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—81no—
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—81no—
1254C2×D4—81no—
1255C2×D4—81no—
1256C2×D4#12014yes—
1257C2×D4#12014yes—
1258C2×D4#12014yes—
1259C2×D4C22×D412yes—
1260C2×D4C22×D412yes—
1261C2×D4C22×D412yes—
1262C2×D4C22×D412yes—
1263C22×C4—21no—
1264C22×C4—21no—
1265C22×C4—21no—
1266C22×C4—21no—
1267C22×C4—21no—
1268C22×C4—21no—
1269C22×C4—21no—
1270C22×C4—21no—
1271C22×C4—21no—
1272C22×C4—21no—
1273C22×C4—21no—
1274C22×C4—21no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—21no—
1282C22×C4—21no—
1283C22×C4—21no—
1284C22×C4—21no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—21no—
1288C22×C4—21no—
1289C22×C4—21no—
1290C22×C4—21no—
1291C22×C4—21no—
1292C22×C4—21no—
1293C22×C4—21no—
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4—21no—
1297C22×C4—21no—
1298C22×C4—21no—
1299C22×C4—21no—
1300C22×C4—21no—
1301C22×C4—21no—
1302C22×C4—21no—
1303C22×C4—21no—
1304C22×C4—21no—
1305C22×C4—21no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—81no—
1319C22×C4—81no—
1320C22×C4—81no—
1321C22×C4—81no—
1322C22×C4—81no—
1323C22×C4—81no—
1324C22×C4—81no—
1325C22×C4C22×D411yescharacteristic
1326C22×C4C22×D411yescharacteristic
1327C22×C4C22×D411yescharacteristic
1328C22×C4C22×D411yescharacteristic
1329C22×C4C22×D411yescharacteristic
1330C22×C4C22×D411yescharacteristic
1331C22×C4C22×D411yescharacteristic
1332C22×C4C22×D412yes—
1333C22×C4C22×D412yes—
1334C22×C4C22×D412yes—
1335C22×C4C22×D412yes—
1336C22×C4C22×D412yes—
1337C22×C4C22×D412yes—
1338C22×C4C22×D411yescharacteristic
1339C22×C4C22×D411yescharacteristic
1340C22×C4C2511yescharacteristic
1341SD16—44no—
1342SD16—44no—
1343SD16—82no—
1344SD16—82no—
1345D8—44no—
1346D8—44no—
1347D8—82no—
1348D8—82no—
1349M16—28no—
1350M16—44no—
1351M16—44no—
1352M16—82no—
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—21no—
1371C2×C8—21no—
1372C2×C8—21no—
1373C2×C8—21no—
1374C2×C8—21no—
1375C2×C8—44no—
1376C2×C8—44no—
1377C2×C8—44no—
1378C2×C8—82no—
1379C2×C8H(5,𝔽2)12yes—
1380C2×C8H(5,𝔽2)12yes—
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
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—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—81no—
1409C4⋊C4—81no—
1410C4⋊C4—81no—
1411C4⋊C4—81no—
1412C4⋊C4—81no—
1413C4⋊C4C22×D412yes—
1414C4⋊C4C22×D412yes—
1415C4⋊C4C22×D412yes—
1416C4⋊C4C22×D412yes—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
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—81no—
1461C22⋊C4—81no—
1462C22⋊C4—81no—
1463C22⋊C4—81no—
1464C22⋊C4—81no—
1465C22⋊C4—81no—
1466C42—24no—
1467C42—24no—
1468C42—22no—
1469C42—22no—
1470C42—24no—
1471C42—24no—
1472C42—21no—
1473C42—21no—
1474C42—21no—
1475C42—21no—
1476C42—81no—
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—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
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—84no—
1555C23—84no—
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—
1570C23—162no—
1571C23—162no—
1572C23C2×#12012yes—
1573C23C2×#12012yes—
1574C23C2×#12012yes—
1575C23C23×D411yescharacteristic
1576Q8—44no—
1577Q8—41no—
1578Q8—41no—
1579Q8—41no—
1580Q8—41no—
1581Q8—82no—
1582Q8—84no—
1583Q8—84no—
1584D4—22no—
1585D4—22no—
1586D4—22no—
1587D4—22no—
1588D4—22no—
1589D4—22no—
1590D4—22no—
1591D4—22no—
1592D4—44no—
1593D4—44no—
1594D4—44no—
1595D4—44no—
1596D4—44no—
1597D4—44no—
1598D4—44no—
1599D4—48no—
1600D4—48no—
1601D4—41no—
1602D4—41no—
1603D4—41no—
1604D4—41no—
1605D4—41no—
1606D4—41no—
1607D4—41no—
1608D4—41no—
1609D4—41no—
1610D4—41no—
1611D4—41no—
1612D4—41no—
1613D4—84no—
1614D4—84no—
1615D4—82no—
1616D4—82no—
1617D4—82no—
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—84no—
1633D4—84no—
1634D4—84no—
1635D4—162no—
1636D4—162no—
1637D4—162no—
1638D4—162no—
1639C2×C4—21no—
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—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—44no—
1678C2×C4—44no—
1679C2×C4—48no—
1680C2×C4—48no—
1681C2×C4—48no—
1682C2×C4—48no—
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—41no—
1710C2×C4—41no—
1711C2×C4—41no—
1712C2×C4—41no—
1713C2×C4—41no—
1714C2×C4—41no—
1715C2×C4—41no—
1716C2×C4—41no—
1717C2×C4—41no—
1718C2×C4—41no—
1719C2×C4—41no—
1720C2×C4—84no—
1721C2×C4—162no—
1722C2×C4—162no—
1723C2×C4C2×#12012yes—
1724C2×C4C2×#12012yes—
1725C2×C4C2×#12012yes—
1726C2×C4#57612yes—
1727C2×C4#57712yes—
1728C2×C4C23×D411yescharacteristic
1729C2×C4C23×D411yescharacteristic
1730C2×C4C2×H(5,𝔽2)11yescharacteristic
1731C2×C4C2×H(5,𝔽2)11yescharacteristic
1732C2×C4#58511yescharacteristic
1733C2×C4#58511yescharacteristic
1734C8—22no—
1735C8—22no—
1736C8—41no—
1737C8—41no—
1738C8—41no—
1739C8—41no—
1740C8—41no—
1741C8—41no—
1742C22—22no—
1743C22—22no—
1744C22—22no—
1745C22—22no—
1746C22—22no—
1747C22—22no—
1748C22—22no—
1749C22—22no—
1750C22—22no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—42no—
1766C22—42no—
1767C22—42no—
1768C22—42no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—42no—
1778C22—42no—
1779C22—41no—
1780C22—41no—
1781C22—42no—
1782C22—42no—
1783C22—42no—
1784C22—42no—
1785C22—41no—
1786C22—41no—
1787C22—42no—
1788C22—42no—
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—81no—
1809C22—81no—
1810C22—81no—
1811C22—81no—
1812C22—168no—
1813C22—168no—
1814C22—168no—
1815C22—168no—
1816C22C22×#12011yescharacteristic
1817C22#349611yescharacteristic
1818C22#349611yescharacteristic
1819C22C2×#57611yescharacteristic
1820C22C2×#57711yescharacteristic
1821C22#358511yescharacteristic
1822C22#358511yescharacteristic
1823C4—22no—
1824C4—22no—
1825C4—22no—
1826C4—22no—
1827C4—22no—
1828C4—41no—
1829C4—41no—
1830C4—41no—
1831C4—42no—
1832C4—42no—
1833C4—41no—
1834C4—42no—
1835C4—42no—
1836C4—81no—
1837C4—81no—
1838C4—81no—
1839C4—81no—
1840C4—81no—
1841C4—81no—
1842C4—81no—
1843C4#348411yescharacteristic
1844C4#348511yescharacteristic
1845C4#349611yescharacteristic
1846C4#349611yescharacteristic
1847C2—42no—
1848C2—42no—
1849C2—42no—
1850C2—81no—
1851C2—81no—
1852C2—82no—
1853C2—82no—
1854C2—82no—
1855C2—82no—
1856C2—161no—
1857C2#3534711yescharacteristic
1858C2#6037211yescharacteristic
1859C2#6037311yescharacteristic
1860C2#6233611yescharacteristic
1861C2#6234211yescharacteristic
1862C2#6234611yescharacteristic
1863C2#6234911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#532 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3549C2semidirect
2. C2×#3198C2semidirect
3. C2×#3062C2semidirect
4. #37272C2semidirect
5. #25554C2semidirect
6. #25552C2semidirect
7. #25538C2semidirect
8. #25536C2semidirect
9. #25502C2semidirect
10. #25501C2semidirect
11. #25496C2semidirect
12. #25495C2semidirect
13. #24448C2semidirect
14. #24440C2semidirect
15. #24432C2semidirect
16. #24424C2semidirect
17. #24394C2semidirect
18. #24394C2semidirect
19. #24390C2semidirect
20. #24390C2semidirect
21. #24105C2semidirect
22. #24104C2semidirect
23. #24033C2semidirect
24. #24032C2semidirect
25. #23965C2semidirect
26. #23965C2semidirect
27. #23860C2semidirect
28. #23860C2semidirect
29. #21770C2semidirect
30. #20975C2semidirect
31. #20900C2semidirect
32. C22×AGL(1,ℤ/8)C22semidirect
33. C22×#131C22semidirect
48. C2×#537C22semidirect
61. C2×#481C22semidirect
62. C2×#485C22semidirect
63. C2×#482C22semidirect
64. C2×#480C22semidirect
66. C2×#469C22semidirect
67. C2×#469C22semidirect
68. C2×#469C22semidirect
69. C2×#468C22semidirect
70. C2×#468C22semidirect
71. C2×#468C22semidirect
72. C2×#466C22semidirect
73. C2×#466C22semidirect
74. C2×#466C22semidirect
75. C2×#465C22semidirect
76. C2×#465C22semidirect
77. C2×#465C22semidirect
78. C2×#449C22semidirect
79. C2×#449C22semidirect
80. C2×#450C22semidirect
81. C2×#450C22semidirect
82. C2×#450C22semidirect
83. C2×#447C22semidirect
84. C2×#447C22semidirect
85. C2×#447C22semidirect
86. C2×#428C22semidirect
87. C2×#418C22semidirect
88. C2×#416C22semidirect
89. C22×#102C22semidirect
90. C22×#102C22semidirect
91. C2×#408C22semidirect
92. C2×#408C22semidirect
93. C2×#408C22semidirect
94. #2855C22semidirect
95. #2854C22semidirect
104. #2616C22semidirect
105. #2615C22semidirect
106. #2487C22semidirect
107. #2486C22semidirect
108. #2417C22semidirect
109. #2416C22semidirect
110. #2415C22semidirect
111. #2414C22semidirect
112. #2407C22semidirect
113. #2407C22semidirect
114. #2311C22semidirect
115. #2058C22semidirect
116. #2058C22semidirect
117. #2057C22semidirect
118. #2057C22semidirect
123. #2034C22semidirect
124. #2034C22semidirect
125. #2034C22semidirect
126. #2034C22semidirect
127. #2033C22semidirect
128. #2033C22semidirect
129. #2033C22semidirect
130. #2033C22semidirect
131. #2024C22semidirect
132. #2024C22semidirect
133. #2023C22semidirect
134. #2023C22semidirect
139. #2000C22semidirect
140. #2000C22semidirect
141. #2000C22semidirect
142. #2000C22semidirect
143. #1999C22semidirect
144. #1999C22semidirect
145. #1999C22semidirect
146. #1999C22semidirect
147. #1895C22semidirect
148. #1895C22semidirect
149. #1895C22semidirect
150. #1895C22semidirect
151. #1895C22semidirect
152. #1895C22semidirect
153. #1893C22semidirect
154. #1893C22semidirect
155. #1893C22semidirect
156. #1893C22semidirect
157. #1893C22semidirect
158. #1893C22semidirect
159. #1879C22semidirect
160. #1879C22semidirect
161. #1879C22semidirect
162. #1879C22semidirect
163. #1877C22semidirect
164. #1877C22semidirect
165. #1877C22semidirect
166. #1877C22semidirect
167. #1875C22semidirect
168. #1875C22semidirect
169. #1875C22semidirect
170. #1875C22semidirect
171. #1874C22semidirect
172. #1874C22semidirect
173. #1873C22semidirect
174. #1873C22semidirect
175. #1870C22semidirect
176. #1870C22semidirect
177. #1870C22semidirect
178. #1870C22semidirect
179. #1869C22semidirect
180. #1869C22semidirect
181. #1869C22semidirect
182. #1869C22semidirect
183. #1864C22semidirect
184. #1864C22semidirect
185. #1864C22semidirect
186. #1864C22semidirect
187. #1862C22semidirect
188. #1862C22semidirect
189. #1862C22semidirect
190. #1862C22semidirect
191. #1854C22semidirect
192. #1854C22semidirect
193. #1854C22semidirect
194. #1854C22semidirect
195. #1825C22semidirect
196. #1825C22semidirect
197. #1786C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
201. #1786C22semidirect
202. #1786C22semidirect
203. #1736C22semidirect
204. #1735C22semidirect
205. #1728C22semidirect
206. C2×#336C22semidirect
274. #535D4semidirect
275. #535D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35492
C2×#31982
C2×#30622
#372722
#255542
#255522
#255382
#255362
#255022
#255012
#254962
#254952
#244482
#244402
#244322
#244242
#243942
#243902
#241052
#241042
#240332
#240322
#239652
#238602
#217702
#209752
#209002