Finite Group Databasebeta

← #6533587

Subgroups — #6533587

Order 512.

3735 conjugacy classes of subgroups.

The subgroup lattice has 1911 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3543C211yesmaximal, characteristic, complemented
2C2×#3273C211yesmaximal, characteristic, complemented
3C2×#3264C211yesmaximal, characteristic, complemented
4#38034C211yesmaximal, characteristic, complemented
5#29675C211yesmaximal, characteristic, complemented
6#29632C211yesmaximal, characteristic, complemented
7#29622C211yesmaximal, characteristic, complemented
8#25736C211yesmaximal, characteristic, complemented
9#25637C211yesmaximal, characteristic, complemented
10#25635C211yesmaximal, characteristic, complemented
11#25507C211yesmaximal, characteristic, complemented
12#25506C211yesmaximal, characteristic, complemented
13#24450C211yesmaximal, characteristic, complemented
14#24448C211yesmaximal, characteristic, complemented
15#24440C211yesmaximal, characteristic, complemented
16#24427C211yesmaximal, characteristic, complemented
17#24218C211yesmaximal, characteristic, complemented
18#24204C211yesmaximal, characteristic, complemented
19#24184C211yesmaximal, characteristic, complemented
20#23939C211yesmaximal, characteristic, complemented
21#23938C211yesmaximal, characteristic, complemented
22#23869C211yesmaximal, characteristic, complemented
23#23863C211yesmaximal, characteristic, complemented
24#23860C211yesmaximal, characteristic, complemented
25#23848C211yesmaximal, characteristic, complemented
26#23580C211yesmaximal, characteristic, complemented
27#23430C211yesmaximal, characteristic, complemented
28#23422C211yesmaximal, characteristic, complemented
29#22472C211yesmaximal, characteristic, complemented
30#22428C211yesmaximal, characteristic, complemented
31#22424C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C23×D8C2211yescharacteristic, complemented
36#3543—28no—
37#3543—28no—
38C2×#560—21no—
39C2×#560—21no—
40C2×#559C2211yescharacteristic, complemented
41C2×#550C2211yescharacteristic
42C2×#550C2211yescharacteristic, complemented
43C2×#546—21no—
44C2×#546C2211yescharacteristic
45C2×#546C2211yescharacteristic, complemented
46C2×#546C2211yescharacteristic, complemented
47C2×D42—21no—
48C2×D42C2211yescharacteristic
49C2×D42C2211yescharacteristic
50C2×D42C2211yescharacteristic, complemented
51C2×#540—21no—
52C2×#540C2211yescharacteristic
53C2×#540C2211yescharacteristic, complemented
54C2×#535—21no—
55C2×#535C2211yescharacteristic
56C2×#535C2211yescharacteristic, complemented
57C2×#534—21no—
58C2×#534—21no—
59C22×#127C2211yescharacteristic, complemented
60C2×#529C2211yescharacteristic
61C2×#529C2211yescharacteristic, complemented
62#3273—28no—
63#3264—28no—
64C2×#496C2211yescharacteristic, complemented
65C2×#495C2211yescharacteristic, complemented
66C2×#469C2211yescharacteristic
67C2×#468C2211yescharacteristic, complemented
68C2×#468C2211yescharacteristic, complemented
69C2×#465C2211yescharacteristic, complemented
70C2×#463C2211yescharacteristic, complemented
71C2×#463C2211yescharacteristic, complemented
72C2×#463C2211yescharacteristic, complemented
73C2×#459C2211yescharacteristic, complemented
74C2×#452C2211yescharacteristic, complemented
75C2×#452C2211yescharacteristic, complemented
76C2×#452C2211yescharacteristic, complemented
77C2×#449C2211yescharacteristic
78C2×#449C2211yescharacteristic, complemented
79C2×#449C2211yescharacteristic, complemented
80C2×#450C2211yescharacteristic, complemented
81C2×#450C2211yescharacteristic, complemented
82C2×#447C2211yescharacteristic, complemented
83C2×#447C2211yescharacteristic, complemented
84C2×#447C2211yescharacteristic, complemented
85C2×#447C2211yescharacteristic, complemented
86C2×#447C2211yescharacteristic, complemented
87C2×#447C2211yescharacteristic, complemented
88C2×#442C2211yescharacteristic, complemented
89C2×C4×D8C2211yescharacteristic, complemented
90C2×#436C2211yescharacteristic, complemented
91C2×#435C2211yescharacteristic, complemented
92C2×#418C2211yescharacteristic, complemented
93C2×#418C2211yescharacteristic, complemented
94C2×#418C2211yescharacteristic, complemented
95C2×#416C2211yescharacteristic, complemented
96#2854C2211yescharacteristic, complemented
97#2703—21no—
98#2697—21no—
99#2681—21no—
100#2678—21no—
101#2625C2211yescharacteristic, complemented
102#2620C2211yescharacteristic, complemented
103#2592C2211yescharacteristic, complemented
104#2558—21no—
105#2554—21no—
106#2538C2211yescharacteristic, complemented
107#2480—21no—
108#2472—21no—
109#2415C2211yescharacteristic, complemented
110#2414C2211yescharacteristic, complemented
111#2408C2211yescharacteristic, complemented
112#2407C2211yescharacteristic, complemented
113#2354C2211yescharacteristic, complemented
114#2324C2211yescharacteristic, complemented
115#2309C2211yescharacteristic, complemented
116#2297C2211yescharacteristic, complemented
117#2059C2211yescharacteristic, complemented
118#2042C2211yescharacteristic, complemented
119#2042C2211yescharacteristic, complemented
120#2041C2211yescharacteristic, complemented
121#2041C2211yescharacteristic, complemented
122#2041C2211yescharacteristic, complemented
123#2041C2211yescharacteristic, complemented
124#2041C2211yescharacteristic, complemented
125#2034C2211yescharacteristic, complemented
126#2033C2211yescharacteristic, complemented
127#2026C2211yescharacteristic, complemented
128#2025C2211yescharacteristic, complemented
129#2025C2211yescharacteristic, complemented
130#2015C2211yescharacteristic, complemented
131#2015C2211yescharacteristic, complemented
132#2014C2211yescharacteristic, complemented
133#2014C2211yescharacteristic, complemented
134#2014C2211yescharacteristic, complemented
135#2014C2211yescharacteristic, complemented
136#2014C2211yescharacteristic, complemented
137#2012C2211yescharacteristic, complemented
138#2012C2211yescharacteristic, complemented
139#2012C2211yescharacteristic, complemented
140#2012C2211yescharacteristic, complemented
141#2011C2211yescharacteristic
142#2011C2211yescharacteristic
143#2011C2211yescharacteristic, complemented
144#2011C2211yescharacteristic, complemented
145#2011C2211yescharacteristic, complemented
146#2011C2211yescharacteristic, complemented
147#2011C2211yescharacteristic, complemented
148#2011C2211yescharacteristic, complemented
149#2011C2211yescharacteristic, complemented
150#2011C2211yescharacteristic, complemented
151#2000C2211yescharacteristic, complemented
152#2000C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1999C2211yescharacteristic, complemented
157#1985C2211yescharacteristic, complemented
158#1984C2211yescharacteristic, complemented
159#1983C2211yescharacteristic, complemented
160#1982C2211yescharacteristic, complemented
161#1959C2211yescharacteristic, complemented
162#1957C2211yescharacteristic, complemented
163#1895C2211yescharacteristic, complemented
164#1895C2211yescharacteristic, complemented
165#1894C2211yescharacteristic, complemented
166#1893C2211yescharacteristic, 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#1878C2211yescharacteristic, complemented
176#1877C2211yescharacteristic, complemented
177#1877C2211yescharacteristic, complemented
178#1877C2211yescharacteristic, complemented
179#1875C2211yescharacteristic, complemented
180#1875C2211yescharacteristic, complemented
181#1875C2211yescharacteristic, complemented
182#1873C2211yescharacteristic, complemented
183#1870C2211yescharacteristic, complemented
184#1870C2211yescharacteristic, complemented
185#1870C2211yescharacteristic, complemented
186#1869C2211yescharacteristic, complemented
187#1865C2211yescharacteristic, complemented
188#1864C2211yescharacteristic, complemented
189#1862C2211yescharacteristic, complemented
190#1862C2211yescharacteristic, complemented
191#1818C2211yescharacteristic, complemented
192#1817C2211yescharacteristic, complemented
193#1802C2211yescharacteristic, complemented
194#1802C2211yescharacteristic, complemented
195#1798C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1786C2211yescharacteristic, complemented
202#1762C2211yescharacteristic, complemented
203C4×#102C2211yescharacteristic, complemented
204#1750C2211yescharacteristic, complemented
205#1729C2211yescharacteristic, complemented
206#1728C2211yescharacteristic, complemented
207C22×#41—21no—
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C22×#41C2311yescharacteristic
211C23×D4—21no—
212C23×D4—21no—
213C23×D4—21no—
214C23×D4—21no—
215C23×D4—21no—
216C23×D4C2311yescharacteristic
217C23×D4C2311yescharacteristic
218C23×D4C2311yescharacteristic
219C23×D4C2311yescharacteristic
220C23×D4C2311yescharacteristic
221C2×AGL(1,ℤ/8)—24no—
222C2×AGL(1,ℤ/8)—24no—
223C2×AGL(1,ℤ/8)—24no—
224C2×AGL(1,ℤ/8)—42no—
225C2×AGL(1,ℤ/8)—42no—
226C2×AGL(1,ℤ/8)—42no—
227C2×AGL(1,ℤ/8)—42no—
228C2×AGL(1,ℤ/8)—42no—
229C2×AGL(1,ℤ/8)—42no—
230C22×Q16C2311yescharacteristic
231C22×SD16C2311yescharacteristic
232C22×SD16C2311yescharacteristic
233C22×SD16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×D8—24no—
239C22×D8—42no—
240C22×D8—42no—
241C22×D8C2311yescharacteristic
242C22×D8C2311yescharacteristic
243C22×D8C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×D8C2311yescharacteristic
248C22×D8C2311yescharacteristic
249C22×D8C2311yescharacteristic
250C22×D8C2311yescharacteristic
251C22×M16C2311yescharacteristic
252C22×M16C2311yescharacteristic
253C22×M16C2311yescharacteristic
254C23×C8C2311yescharacteristic
255#560—216no—
256#560—216no—
257#559—24no—
258#559—24no—
259#550—24no—
260#550—24no—
261#550—24no—
262#550—24no—
263#546—216no—
264#546—24no—
265#546—24no—
266#546—24no—
267#546—24no—
268#546—24no—
269#546D418yescomplemented
270D42—216no—
271D42—24no—
272D42—24no—
273D42—24no—
274D42—24no—
275D42—24no—
276D42D418yescomplemented
277#540—216no—
278#540—24no—
279#540—24no—
280#540—24no—
281#540—24no—
282#535—216no—
283#535—24no—
284#535—24no—
285#535—24no—
286#535—24no—
287#534—216no—
288#534—216no—
289C2×#127—24no—
290C2×#127—24no—
291C2×#127—21no—
292C2×#127—21no—
293C2×#127—21no—
294C2×#127C2311yescharacteristic
295C2×#127C2311yescharacteristic
296C2×#127C2311yescharacteristic
297C2×#127C2311yescharacteristic
298C2×#127C2311yescharacteristic
299C2×#127C2311yescharacteristic
300#529—24no—
301#529—24no—
302#529—24no—
303#529—24no—
304C2×#126—21no—
305C2×#126D411yescharacteristic
306C2×#126D411yescharacteristic
307C2×#125D411yescharacteristic
308C2×#125C2311yescharacteristic
309C2×#124—21no—
310C2×#124D411yescharacteristic
311C2×#124C2311yescharacteristic
312C2×#124C2311yescharacteristic
313C2×#124C2311yescharacteristic
314C2×#124C2311yescharacteristic
315C2×#123—21no—
316C2×#123—21no—
317C2×#123—21no—
318C2×#123—21no—
319C2×#123—21no—
320C2×#123—21no—
321C2×#123—21no—
322C2×#123—21no—
323C2×#123—21no—
324C2×#123—21no—
325C2×#123—21no—
326C2×#123D411yescharacteristic
327C2×#123D411yescharacteristic
328C2×C22⋊Q8—21no—
329C2×C22⋊Q8D411yescharacteristic
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2311yescharacteristic
333C2×#121—21no—
334C2×#121—21no—
335C2×#121—21no—
336C2×#121—21no—
337C2×#121—21no—
338C2×#121—21no—
339C2×#121—21no—
340C2×#121—21no—
341C2×#121—21no—
342C2×#121—21no—
343C2×#121—21no—
344C2×#121—21no—
345C2×#121—21no—
346C2×#121—21no—
347C2×#121—21no—
348C2×#121—21no—
349C2×#121—21no—
350C2×#121—21no—
351C2×#121—21no—
352C2×#121D411yescharacteristic
353C2×#121C2311yescharacteristic
354C2×#121C2311yescharacteristic
355C2×#121C2311yescharacteristic
356C2×#121C2311yescharacteristic
357C2×#121C2311yescharacteristic
358C2×#121C2311yescharacteristic
359C2×#121C2311yescharacteristic
360C2×#121C2311yescharacteristic
361C2×#120—21no—
362C2×#120—21no—
363C2×#120—21no—
364C2×#120—21no—
365C2×#120—21no—
366C2×#120—21no—
367C2×#120—21no—
368C2×#120—21no—
369C2×#120—21no—
370C2×#120—21no—
371C2×#120—21no—
372C2×#120—21no—
373C2×#120—21no—
374C2×#120—21no—
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2311yescharacteristic
377C2×C4×D4—21no—
378C2×C4×D4—21no—
379C2×C4×D4—21no—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×#117—21no—
390C2×#117C2311yescharacteristic
391C2×#117C2311yescharacteristic
392C2×#117C2311yescharacteristic
393C2×#117C2311yescharacteristic
394C22×C22⋊C4—21no—
395C22×C22⋊C4—21no—
396C22×C22⋊C4—21no—
397C22×C42C2311yescharacteristic
398#496—24no—
399#495—24no—
400#469—24no—
401#468—24no—
402#468—24no—
403#465—24no—
404#463—24no—
405#463—24no—
406#463—24no—
407#459—24no—
408#452—24no—
409#452—24no—
410#452—42no—
411#450—24no—
412#450—42no—
413#449—24no—
414#449—42no—
415#449—42no—
416#447—24no—
417#447—24no—
418#447—24no—
419#447—24no—
420#447—42no—
421#447—42no—
422#442—24no—
423C4×D8—24no—
424#436—24no—
425#435—24no—
426C2×#107C2311yescharacteristic
427C2×#106C2311yescharacteristic
428C2×C4⋊C8C2311yescharacteristic
429C2×C4⋊C8C2311yescharacteristic
430#418—42no—
431#418—42no—
432#418—42no—
433#416—42no—
434C2×#103C2311yescharacteristic
435C2×#103C2311yescharacteristic
436C2×#103C2311yescharacteristic
437C2×#103C2311yescharacteristic
438C2×#103C2311yescharacteristic
439C2×#103C2311yescharacteristic
440C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
466C2×#102C2311yescharacteristic
467C2×#102C2311yescharacteristic
468C2×#102C2311yescharacteristic
469C2×#102C2311yescharacteristic
470C2×C22⋊C8C2311yescharacteristic
471C2×C22⋊C8C2311yescharacteristic
472C2×C22⋊C8C2311yescharacteristic
473C2×C22⋊C8C2311yescharacteristic
474C2×C22⋊C8C2311yescharacteristic
475C2×C22⋊C8C2311yescharacteristic
476C2×C22⋊C8C2311yescharacteristic
477C2×C22⋊C8C2311yescharacteristic
478C2×#97C2311yescharacteristic
479C2×C4×C8C2311yescharacteristic
480#400—21no—
481#398—21no—
482#397—21no—
483#397—21no—
484#397—21no—
485#397—21no—
486#396—21no—
487#396—21no—
488#396—21no—
489#396—21no—
490#394—21no—
491#394—21no—
492#394—21no—
493#394—21no—
494#394—21no—
495#394—21no—
496#393—21no—
497#392—21no—
498#392—21no—
499#392—21no—
500#391C2311yescharacteristic
501#391C2311yescharacteristic
502#391C2311yescharacteristic
503#390—21no—
504#390—21no—
505#390—21no—
506#390—21no—
507#390—21no—
508#390C2311yescharacteristic
509#390C2311yescharacteristic
510#390C2311yescharacteristic
511#390C2311yescharacteristic
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#389—21no—
515#389C2311yescharacteristic
516#389C2311yescharacteristic
517#389C2311yescharacteristic
518#388—21no—
519#388—21no—
520#388—21no—
521#388—21no—
522#388—21no—
523#388—21no—
524#388—21no—
525#388—21no—
526#388—21no—
527#386—21no—
528#386—21no—
529#386—21no—
530#386—21no—
531#386—21no—
532#385—21no—
533#385—21no—
534#384C2311yescharacteristic
535#380—21no—
536#380C2311yescharacteristic
537#380C2311yescharacteristic
538#380C2311yescharacteristic
539#379—21no—
540#379—21no—
541#379—21no—
542C4×C4⋊C4—21no—
543C4×C4⋊C4C2311yescharacteristic
544C4×C22⋊C4—21no—
545C4×C22⋊C4—21no—
546#340C2311yescharacteristic
547#340C2311yescharacteristic
548#340C2311yescharacteristic
549#340C2311yescharacteristic
550#340C2311yescharacteristic
551#340C2311yescharacteristic
552#340C2311yescharacteristic
553#340C2311yescharacteristic
554#336C2311yescharacteristic
555#336C2311yescharacteristic
556#336C2311yescharacteristic
557#336C2311yescharacteristic
558#336C2311yescharacteristic
559#336C2311yescharacteristic
560#336C2311yescharacteristic
561#336C2311yescharacteristic
562#336C2311yescharacteristic
563#336C2311yescharacteristic
564#336C2311yescharacteristic
565#336C2311yescharacteristic
566C25—21no—
567C25—21no—
568C25—21no—
569C25—21no—
570C25—21no—
571C2×#41—28no—
572C2×#41—22no—
573C2×#41—22no—
574C2×#41—22no—
575C2×#41—22no—
576C2×#41—22no—
577C2×#41—22no—
578C2×#41—41no—
579C2×#41—41no—
580C2×#41—41no—
581C2×#41—41no—
582C2×#41—41no—
583C2×#41—41no—
584C2×#41—41no—
585C2×#41—41no—
586C2×#41—41no—
587C2×#41—41no—
588C2×#41—41no—
589C2×#41—82no—
590C2×#41—82no—
591C2×#41C2×D414yes—
592C22×Q8C2×D411yescharacteristic
593C22×Q8C2411yescharacteristic
594C22×Q8C2411yescharacteristic
595C22×D4—21no—
596C22×D4—28no—
597C22×D4—28no—
598C22×D4—28no—
599C22×D4—28no—
600C22×D4—21no—
601C22×D4—21no—
602C22×D4—21no—
603C22×D4—21no—
604C22×D4—21no—
605C22×D4—21no—
606C22×D4—28no—
607C22×D4—22no—
608C22×D4—22no—
609C22×D4—22no—
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—21no—
622C22×D4—21no—
623C22×D4—21no—
624C22×D4—21no—
625C22×D4—21no—
626C22×D4—21no—
627C22×D4—21no—
628C22×D4—21no—
629C22×D4—21no—
630C22×D4—22no—
631C22×D4—22no—
632C22×D4—22no—
633C22×D4—22no—
634C22×D4—22no—
635C22×D4—21no—
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—41no—
645C22×D4—41no—
646C22×D4—41no—
647C22×D4—41no—
648C22×D4—41no—
649C22×D4—41no—
650C22×D4—41no—
651C22×D4—41no—
652C22×D4—41no—
653C22×D4—41no—
654C22×D4—41no—
655C22×D4—82no—
656C22×D4—82no—
657C22×D4—82no—
658C22×D4—82no—
659C22×D4—82no—
660C22×D4—82no—
661C22×D4—82no—
662C22×D4—82no—
663C22×D4—82no—
664C22×D4—82no—
665C22×D4C2×D411yescharacteristic
666C22×D4C2×D411yescharacteristic
667C22×D4C2×D414yes—
668C22×D4C2×D414yes—
669C22×D4C2×D414yes—
670C22×D4C2×D411yescharacteristic
671C22×D4C2411yescharacteristic
672C22×D4C2411yescharacteristic
673C22×D4C2411yescharacteristic
674C22×D4C2411yescharacteristic
675C22×D4C2411yescharacteristic
676C22×D4C2411yescharacteristic
677C22×D4C2411yescharacteristic
678C23×C4—21no—
679C23×C4—21no—
680C23×C4—21no—
681C23×C4—21no—
682C23×C4—21no—
683C23×C4—21no—
684C23×C4—21no—
685C23×C4—21no—
686C23×C4—21no—
687C23×C4C2×D411yescharacteristic
688C23×C4C2×D411yescharacteristic
689C23×C4C2411yescharacteristic
690C23×C4C2411yescharacteristic
691C23×C4C2411yescharacteristic
692AGL(1,ℤ/8)—416no—
693AGL(1,ℤ/8)—416no—
694AGL(1,ℤ/8)—416no—
695C2×Q16—22no—
696C2×Q16—41no—
697C2×Q16—41no—
698C2×SD16—22no—
699C2×SD16—22no—
700C2×SD16—22no—
701C2×SD16—22no—
702C2×SD16—22no—
703C2×SD16—22no—
704C2×SD16—22no—
705C2×SD16—22no—
706C2×SD16—22no—
707C2×SD16—22no—
708C2×SD16—22no—
709C2×SD16—41no—
710C2×SD16—41no—
711C2×SD16—41no—
712C2×SD16—41no—
713C2×SD16—41no—
714C2×SD16—41no—
715C2×SD16—41no—
716C2×SD16—41no—
717C2×SD16—41no—
718C2×SD16—41no—
719C2×D8—22no—
720C2×D8—22no—
721C2×D8—22no—
722C2×D8—22no—
723C2×D8—22no—
724C2×D8—22no—
725C2×D8—22no—
726C2×D8—22no—
727C2×D8—22no—
728C2×D8—22no—
729C2×D8—22no—
730C2×D8—22no—
731C2×D8—22no—
732C2×D8—22no—
733C2×D8—22no—
734C2×D8—22no—
735C2×D8—22no—
736C2×D8—22no—
737C2×D8—41no—
738C2×D8—41no—
739C2×D8—41no—
740C2×D8—41no—
741C2×D8—41no—
742C2×D8—41no—
743C2×D8—41no—
744C2×D8—41no—
745C2×D8—41no—
746C2×D8—41no—
747C2×D8—41no—
748C2×D8—41no—
749C2×D8—416no—
750C2×M16—22no—
751C2×M16—22no—
752C2×M16—22no—
753C2×M16—22no—
754C2×M16—22no—
755C2×M16—22no—
756C2×M16—41no—
757C2×M16—41no—
758C2×M16—41no—
759C22×C8—22no—
760C22×C8—22no—
761C22×C8—41no—
762C22×C8C2411yescharacteristic
763C22×C8C2411yescharacteristic
764C22×C8C2411yescharacteristic
765C22×C8C2411yescharacteristic
766C22×C8C2411yescharacteristic
767C22×C8C2411yescharacteristic
768C22×C8C2411yescharacteristic
769C22×C8C2411yescharacteristic
770#127—28no—
771#127—28no—
772#127—28no—
773#127—22no—
774#127—22no—
775#127—22no—
776#127—22no—
777#127—22no—
778#127—22no—
779#127—22no—
780#127—22no—
781#127—22no—
782#127—22no—
783#127—22no—
784#127C2×D414yes—
785#126—28no—
786#126—24no—
787#126—24no—
788#125—24no—
789#125—22no—
790#125—22no—
791#124—28no—
792#124—22no—
793#124—22no—
794#124—22no—
795#124—22no—
796#124—24no—
797#124—22no—
798#124—22no—
799#124—22no—
800#124C2×D414yes—
801#123—28no—
802#123—28no—
803#123—28no—
804#123—28no—
805#123—28no—
806#123—28no—
807#123—28no—
808#123—28no—
809#123—24no—
810#123—28no—
811#123—24no—
812#123—44no—
813#123—82no—
814C22⋊Q8—22no—
815C22⋊Q8—24no—
816C22⋊Q8—22no—
817C22⋊Q8—22no—
818C22⋊Q8—41no—
819C22⋊Q8—41no—
820C22⋊Q8—82no—
821C22⋊Q8C2×D414yes—
822#121—28no—
823#121—28no—
824#121—28no—
825#121—28no—
826#121—28no—
827#121—28no—
828#121—28no—
829#121—28no—
830#121—28no—
831#121—28no—
832#121—28no—
833#121—28no—
834#121—28no—
835#121—28no—
836#121—28no—
837#121—28no—
838#121—24no—
839#121—22no—
840#121—22no—
841#121—22no—
842#121—22no—
843#121—22no—
844#121—28no—
845#121—22no—
846#121—22no—
847#121—28no—
848#121—22no—
849#121—22no—
850#121—22no—
851#121—41no—
852#121—44no—
853#121—41no—
854#121—41no—
855#121C2×D414yes—
856#121C2×D414yes—
857#121C2×D414yes—
858#120—28no—
859#120—28no—
860#120—28no—
861#120—28no—
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—44no—
871#120—82no—
872C4×Q8—22no—
873C4×Q8—22no—
874C4×Q8—22no—
875C4×Q8—22no—
876C4×D4—28no—
877C4×D4—28no—
878C4×D4—28no—
879C4×D4—22no—
880C4×D4—22no—
881C4×D4—22no—
882C4×D4—22no—
883C4×D4—22no—
884C4×D4—22no—
885C4×D4—22no—
886C4×D4—22no—
887C4×D4—22no—
888C4×D4—22no—
889C4×D4—22no—
890C4×D4—22no—
891C4×D4—22no—
892C4×D4—22no—
893C4×D4C2×D414yes—
894C4×D4C2×D414yes—
895C4×D4C2×D414yes—
896C4×D4C2×D414yes—
897#117—28no—
898#117—22no—
899#117—22no—
900#117—22no—
901#117—22no—
902#117—41no—
903#117—41no—
904#117—41no—
905#117—41no—
906C2×C4⋊C4—21no—
907C2×C4⋊C4—21no—
908C2×C4⋊C4—21no—
909C2×C4⋊C4—21no—
910C2×C4⋊C4—21no—
911C2×C4⋊C4—21no—
912C2×C4⋊C4—21no—
913C2×C4⋊C4—21no—
914C2×C4⋊C4—21no—
915C2×C4⋊C4—21no—
916C2×C4⋊C4—21no—
917C2×C4⋊C4C2×D411yescharacteristic
918C2×C4⋊C4C2×D411yescharacteristic
919C2×C4⋊C4C2×D411yescharacteristic
920C2×C4⋊C4C2×D411yescharacteristic
921C2×C4⋊C4C2×D411yescharacteristic
922C2×C4⋊C4C2×D411yescharacteristic
923C2×C4⋊C4C2×D411yescharacteristic
924C2×C4⋊C4C2×D411yescharacteristic
925C2×C4⋊C4C2×D411yescharacteristic
926C2×C4⋊C4C2×D411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C22⋊C4—28no—
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⋊C4—21no—
952C2×C22⋊C4—28no—
953C2×C22⋊C4—21no—
954C2×C22⋊C4—21no—
955C2×C22⋊C4—21no—
956C2×C22⋊C4—21no—
957C2×C22⋊C4—21no—
958C2×C22⋊C4—21no—
959C2×C22⋊C4—21no—
960C2×C22⋊C4—21no—
961C2×C22⋊C4—21no—
962C2×C22⋊C4—21no—
963C2×C22⋊C4—21no—
964C2×C22⋊C4—21no—
965C2×C22⋊C4—21no—
966C2×C22⋊C4—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—44no—
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—22no—
991C2×C42—22no—
992C2×C42—21no—
993C2×C42—21no—
994C2×C42—21no—
995C2×C42C2×D411yescharacteristic
996C2×C42C2×D411yescharacteristic
997C2×C42C2411yescharacteristic
998C2×C42C2411yescharacteristic
999C2×C42C2411yescharacteristic
1000C2×C42C2411yescharacteristic
1001#107—22no—
1002#106—22no—
1003C4⋊C8—22no—
1004C4⋊C8—22no—
1005#103—22no—
1006#103—22no—
1007#103—22no—
1008#103—22no—
1009#103—41no—
1010#103—41no—
1011#103—41no—
1012#102—22no—
1013#102—22no—
1014#102—22no—
1015#102—22no—
1016#102—22no—
1017#102—22no—
1018#102—22no—
1019#102—22no—
1020#102—22no—
1021#102—22no—
1022#102—22no—
1023#102—22no—
1024#102—22no—
1025#102—22no—
1026#102—41no—
1027#102—41no—
1028#102—41no—
1029#102—41no—
1030#102—41no—
1031#102—41no—
1032#102—41no—
1033#102—41no—
1034#102—41no—
1035#102—41no—
1036#102—41no—
1037#102—41no—
1038#102—41no—
1039#102—41no—
1040#102—41no—
1041C22⋊C8—22no—
1042C22⋊C8—22no—
1043C22⋊C8—22no—
1044C22⋊C8—22no—
1045C22⋊C8—22no—
1046C22⋊C8—22no—
1047C22⋊C8—41no—
1048C22⋊C8—41no—
1049#97—22no—
1050C4×C8—22no—
1051#95—21no—
1052#95—21no—
1053#95—21no—
1054#95—21no—
1055#95—21no—
1056#95—21no—
1057#95—21no—
1058#95—21no—
1059#95—21no—
1060#95—21no—
1061#95—21no—
1062#95—21no—
1063#95—21no—
1064C24—24no—
1065C24—21no—
1066C24—21no—
1067C24—21no—
1068C24—21no—
1069C24—21no—
1070C24—21no—
1071C24—24no—
1072C24—24no—
1073C24—24no—
1074C24—21no—
1075C24—42no—
1076C24—42no—
1077C24—42no—
1078C24—42no—
1079C24—42no—
1080C24—42no—
1081C24—81no—
1082C24—81no—
1083C24—81no—
1084C24—81no—
1085C24—81no—
1086C24—81no—
1087C24—81no—
1088C24—81no—
1089C24—81no—
1090C24—81no—
1091C24—81no—
1092C24—81no—
1093C24—81no—
1094C24—81no—
1095C24—81no—
1096C24—81no—
1097C24—81no—
1098C24—81no—
1099C24—81no—
1100C24—81no—
1101C24—81no—
1102C24—81no—
1103C24—81no—
1104C24—81no—
1105C24—81no—
1106C24C22×D411yescharacteristic
1107C24C22×D411yescharacteristic
1108C24C22×D411yescharacteristic
1109#41—44no—
1110#41—44no—
1111#41—44no—
1112#41—44no—
1113#41—82no—
1114#41—82no—
1115#41—82no—
1116#41—82no—
1117#41—82no—
1118#41—82no—
1119#41—82no—
1120#41—82no—
1121#41—816no—
1122C2×Q8—22no—
1123C2×Q8—22no—
1124C2×Q8—21no—
1125C2×Q8—21no—
1126C2×Q8—21no—
1127C2×Q8—21no—
1128C2×Q8—21no—
1129C2×Q8—21no—
1130C2×Q8—21no—
1131C2×Q8—21no—
1132C2×Q8—21no—
1133C2×Q8—21no—
1134C2×Q8—21no—
1135C2×Q8—41no—
1136C2×Q8C22×D412yes—
1137C2×D4—24no—
1138C2×D4—24no—
1139C2×D4—22no—
1140C2×D4—24no—
1141C2×D4—22no—
1142C2×D4—24no—
1143C2×D4—24no—
1144C2×D4—24no—
1145C2×D4—24no—
1146C2×D4—24no—
1147C2×D4—24no—
1148C2×D4—24no—
1149C2×D4—24no—
1150C2×D4—24no—
1151C2×D4—24no—
1152C2×D4—24no—
1153C2×D4—24no—
1154C2×D4—24no—
1155C2×D4—24no—
1156C2×D4—24no—
1157C2×D4—24no—
1158C2×D4—24no—
1159C2×D4—24no—
1160C2×D4—24no—
1161C2×D4—24no—
1162C2×D4—22no—
1163C2×D4—21no—
1164C2×D4—21no—
1165C2×D4—21no—
1166C2×D4—21no—
1167C2×D4—21no—
1168C2×D4—21no—
1169C2×D4—21no—
1170C2×D4—21no—
1171C2×D4—21no—
1172C2×D4—21no—
1173C2×D4—21no—
1174C2×D4—21no—
1175C2×D4—21no—
1176C2×D4—21no—
1177C2×D4—21no—
1178C2×D4—21no—
1179C2×D4—21no—
1180C2×D4—21no—
1181C2×D4—21no—
1182C2×D4—21no—
1183C2×D4—21no—
1184C2×D4—21no—
1185C2×D4—21no—
1186C2×D4—21no—
1187C2×D4—21no—
1188C2×D4—21no—
1189C2×D4—21no—
1190C2×D4—21no—
1191C2×D4—21no—
1192C2×D4—21no—
1193C2×D4—21no—
1194C2×D4—21no—
1195C2×D4—21no—
1196C2×D4—21no—
1197C2×D4—21no—
1198C2×D4—21no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—82no—
1225C2×D4—82no—
1226C2×D4—82no—
1227C2×D4—82no—
1228C2×D4—82no—
1229C2×D4—82no—
1230C2×D4—82no—
1231C2×D4—82no—
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—81no—
1257C2×D4—81no—
1258C2×D4—81no—
1259C2×D4—81no—
1260C2×D4—81no—
1261C2×D4—82no—
1262C2×D4—82no—
1263C2×D4—82no—
1264C2×D4—82no—
1265C2×D4—816no—
1266C2×D4—816no—
1267C2×D4—81no—
1268C2×D4—81no—
1269C2×D4—81no—
1270C2×D4—81no—
1271C2×D4—81no—
1272C2×D4—81no—
1273C2×D4—81no—
1274C2×D4—81no—
1275C2×D4—81no—
1276C2×D4—81no—
1277C2×D4—81no—
1278C2×D4—81no—
1279C2×D4—81no—
1280C2×D4—816no—
1281C2×D4—81no—
1282C2×D4—81no—
1283C2×D4—81no—
1284C2×D4—81no—
1285C2×D4—81no—
1286C2×D4—81no—
1287C2×D4—81no—
1288C2×D4—816no—
1289C2×D4—816no—
1290C2×D4#12014yes—
1291C2×D4C22×D412yes—
1292C2×D4C22×D412yes—
1293C2×D4C22×D412yes—
1294C2×D4C22×D412yes—
1295C2×D4C22×D412yes—
1296C2×D4H(5,𝔽2)12yes—
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—24no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—24no—
1312C22×C4—24no—
1313C22×C4—24no—
1314C22×C4—22no—
1315C22×C4—21no—
1316C22×C4—21no—
1317C22×C4—21no—
1318C22×C4—21no—
1319C22×C4—21no—
1320C22×C4—21no—
1321C22×C4—24no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—21no—
1325C22×C4—21no—
1326C22×C4—21no—
1327C22×C4—21no—
1328C22×C4—21no—
1329C22×C4—21no—
1330C22×C4—41no—
1331C22×C4—41no—
1332C22×C4—41no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—81no—
1339C22×C4—81no—
1340C22×C4—81no—
1341C22×C4—81no—
1342C22×C4—81no—
1343C22×C4—81no—
1344C22×C4—81no—
1345C22×C4—81no—
1346C22×C4—81no—
1347C22×C4—81no—
1348C22×C4—81no—
1349C22×C4—81no—
1350C22×C4—81no—
1351C22×C4—81no—
1352C22×C4—81no—
1353C22×C4C22×D411yescharacteristic
1354C22×C4C22×D411yescharacteristic
1355C22×C4C22×D411yescharacteristic
1356C22×C4C22×D411yescharacteristic
1357C22×C4C22×D411yescharacteristic
1358C22×C4C22×D411yescharacteristic
1359C22×C4C22×D411yescharacteristic
1360C22×C4C22×D411yescharacteristic
1361C22×C4C22×D411yescharacteristic
1362C22×C4C22×D411yescharacteristic
1363C22×C4C22×D412yes—
1364C22×C4C22×D412yes—
1365C22×C4C22×D412yes—
1366C22×C4C22×D412yes—
1367C22×C4C22×D411yescharacteristic
1368C22×C4C2511yescharacteristic
1369Q16—82no—
1370SD16—44no—
1371SD16—44no—
1372SD16—44no—
1373SD16—44no—
1374SD16—44no—
1375SD16—44no—
1376SD16—82no—
1377D8—28no—
1378D8—28no—
1379D8—44no—
1380D8—44no—
1381D8—44no—
1382D8—44no—
1383D8—44no—
1384D8—44no—
1385D8—82no—
1386D8—82no—
1387M16—44no—
1388M16—44no—
1389M16—44no—
1390C2×C8—21no—
1391C2×C8—21no—
1392C2×C8—21no—
1393C2×C8—21no—
1394C2×C8—21no—
1395C2×C8—21no—
1396C2×C8—21no—
1397C2×C8—21no—
1398C2×C8—21no—
1399C2×C8—21no—
1400C2×C8—21no—
1401C2×C8—21no—
1402C2×C8—21no—
1403C2×C8—21no—
1404C2×C8—21no—
1405C2×C8—21no—
1406C2×C8—21no—
1407C2×C8—21no—
1408C2×C8—21no—
1409C2×C8—21no—
1410C2×C8—21no—
1411C2×C8—21no—
1412C2×C8—44no—
1413C2×C8H(5,𝔽2)12yes—
1414C2×C8H(5,𝔽2)12yes—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—24no—
1418C4⋊C4—24no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—22no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—81no—
1443C4⋊C4—81no—
1444C4⋊C4—81no—
1445C4⋊C4—81no—
1446C4⋊C4—81no—
1447C4⋊C4#12014yes—
1448C4⋊C4C22×D412yes—
1449C4⋊C4C22×D412yes—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—24no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—22no—
1461C22⋊C4—22no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—24no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—24no—
1471C22⋊C4—22no—
1472C22⋊C4—22no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—81no—
1484C22⋊C4—81no—
1485C22⋊C4—81no—
1486C22⋊C4—81no—
1487C22⋊C4—81no—
1488C22⋊C4—81no—
1489C22⋊C4—81no—
1490C22⋊C4—81no—
1491C22⋊C4—81no—
1492C22⋊C4—81no—
1493C22⋊C4—81no—
1494C22⋊C4—81no—
1495C22⋊C4—81no—
1496C22⋊C4—81no—
1497C22⋊C4—81no—
1498C22⋊C4—81no—
1499C22⋊C4—81no—
1500C22⋊C4#12014yes—
1501C22⋊C4#12014yes—
1502C42—24no—
1503C42—22no—
1504C42—22no—
1505C42—21no—
1506C42—21no—
1507C42—21no—
1508C42—21no—
1509C42—21no—
1510C42—21no—
1511C42—81no—
1512C42—81no—
1513C42—81no—
1514C42C22×D412yes—
1515C42C22×D412yes—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—22no—
1533C23—22no—
1534C23—22no—
1535C23—22no—
1536C23—22no—
1537C23—22no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—48no—
1542C23—48no—
1543C23—41no—
1544C23—41no—
1545C23—41no—
1546C23—41no—
1547C23—41no—
1548C23—41no—
1549C23—41no—
1550C23—41no—
1551C23—41no—
1552C23—41no—
1553C23—41no—
1554C23—41no—
1555C23—41no—
1556C23—41no—
1557C23—41no—
1558C23—41no—
1559C23—41no—
1560C23—41no—
1561C23—41no—
1562C23—41no—
1563C23—41no—
1564C23—41no—
1565C23—41no—
1566C23—41no—
1567C23—41no—
1568C23—41no—
1569C23—41no—
1570C23—41no—
1571C23—41no—
1572C23—41no—
1573C23—41no—
1574C23—41no—
1575C23—41no—
1576C23—41no—
1577C23—41no—
1578C23—41no—
1579C23—41no—
1580C23—41no—
1581C23—41no—
1582C23—41no—
1583C23—41no—
1584C23—41no—
1585C23—41no—
1586C23—84no—
1587C23—84no—
1588C23—84no—
1589C23—84no—
1590C23—84no—
1591C23—84no—
1592C23—84no—
1593C23—84no—
1594C23—84no—
1595C23—84no—
1596C23—84no—
1597C23—84no—
1598C23—162no—
1599C23—162no—
1600C23—162no—
1601C23—162no—
1602C23—162no—
1603C23—162no—
1604C23—162no—
1605C23—162no—
1606C23—162no—
1607C23—162no—
1608C23—162no—
1609C23—162no—
1610C23—162no—
1611C23—162no—
1612C23—162no—
1613C23—162no—
1614C23—162no—
1615C23—162no—
1616C23—162no—
1617C23—162no—
1618C23—162no—
1619C23C2×#12012yes—
1620C23C2×#12012yes—
1621C23C23×D411yescharacteristic
1622Q8—22no—
1623Q8—22no—
1624Q8—44no—
1625Q8—41no—
1626Q8—41no—
1627Q8—41no—
1628Q8—41no—
1629Q8—41no—
1630Q8—41no—
1631D4—22no—
1632D4—22no—
1633D4—22no—
1634D4—22no—
1635D4—22no—
1636D4—22no—
1637D4—22no—
1638D4—22no—
1639D4—22no—
1640D4—22no—
1641D4—22no—
1642D4—22no—
1643D4—44no—
1644D4—44no—
1645D4—48no—
1646D4—48no—
1647D4—44no—
1648D4—48no—
1649D4—41no—
1650D4—41no—
1651D4—41no—
1652D4—41no—
1653D4—41no—
1654D4—41no—
1655D4—41no—
1656D4—41no—
1657D4—41no—
1658D4—41no—
1659D4—41no—
1660D4—41no—
1661D4—41no—
1662D4—41no—
1663D4—41no—
1664D4—41no—
1665D4—84no—
1666D4—84no—
1667D4—84no—
1668D4—84no—
1669D4—84no—
1670D4—84no—
1671D4—84no—
1672D4—84no—
1673D4—84no—
1674D4—84no—
1675D4—84no—
1676D4—84no—
1677D4—84no—
1678D4—84no—
1679D4—84no—
1680D4—84no—
1681D4—84no—
1682D4—84no—
1683D4—84no—
1684D4—84no—
1685D4—84no—
1686D4—84no—
1687D4—162no—
1688D4—162no—
1689D4—162no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—22no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—21no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—44no—
1730C2×C4—48no—
1731C2×C4—44no—
1732C2×C4—41no—
1733C2×C4—41no—
1734C2×C4—41no—
1735C2×C4—41no—
1736C2×C4—41no—
1737C2×C4—41no—
1738C2×C4—41no—
1739C2×C4—41no—
1740C2×C4—41no—
1741C2×C4—41no—
1742C2×C4—41no—
1743C2×C4—41no—
1744C2×C4—41no—
1745C2×C4—41no—
1746C2×C4—41no—
1747C2×C4—41no—
1748C2×C4—41no—
1749C2×C4—41no—
1750C2×C4—41no—
1751C2×C4—41no—
1752C2×C4—41no—
1753C2×C4—41no—
1754C2×C4—41no—
1755C2×C4—41no—
1756C2×C4—41no—
1757C2×C4—41no—
1758C2×C4—41no—
1759C2×C4—41no—
1760C2×C4—84no—
1761C2×C4—84no—
1762C2×C4—84no—
1763C2×C4—84no—
1764C2×C4—84no—
1765C2×C4—84no—
1766C2×C4—84no—
1767C2×C4—162no—
1768C2×C4C2×#12012yes—
1769C2×C4C2×#12012yes—
1770C2×C4C2×#12012yes—
1771C2×C4C2×#12012yes—
1772C2×C4#57612yes—
1773C2×C4C23×D411yescharacteristic
1774C2×C4C23×D411yescharacteristic
1775C2×C4C2×H(5,𝔽2)11yescharacteristic
1776C2×C4C2×H(5,𝔽2)11yescharacteristic
1777C2×C4C2×H(5,𝔽2)11yescharacteristic
1778C2×C4#58511yescharacteristic
1779C8—22no—
1780C8—22no—
1781C8—41no—
1782C8—41no—
1783C8—41no—
1784C8—41no—
1785C8—41no—
1786C8—41no—
1787C22—22no—
1788C22—22no—
1789C22—22no—
1790C22—22no—
1791C22—22no—
1792C22—22no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—42no—
1803C22—41no—
1804C22—42no—
1805C22—42no—
1806C22—42no—
1807C22—42no—
1808C22—42no—
1809C22—42no—
1810C22—41no—
1811C22—42no—
1812C22—42no—
1813C22—42no—
1814C22—41no—
1815C22—42no—
1816C22—42no—
1817C22—42no—
1818C22—42no—
1819C22—42no—
1820C22—42no—
1821C22—41no—
1822C22—42no—
1823C22—42no—
1824C22—41no—
1825C22—41no—
1826C22—81no—
1827C22—81no—
1828C22—81no—
1829C22—81no—
1830C22—81no—
1831C22—81no—
1832C22—81no—
1833C22—81no—
1834C22—81no—
1835C22—81no—
1836C22—81no—
1837C22—81no—
1838C22—81no—
1839C22—81no—
1840C22—81no—
1841C22—81no—
1842C22—81no—
1843C22—81no—
1844C22—81no—
1845C22—81no—
1846C22—81no—
1847C22—81no—
1848C22—81no—
1849C22—81no—
1850C22—81no—
1851C22—81no—
1852C22—81no—
1853C22—81no—
1854C22—81no—
1855C22—81no—
1856C22—81no—
1857C22—168no—
1858C22—168no—
1859C22—168no—
1860C22—168no—
1861C22—168no—
1862C22C22×#12011yescharacteristic
1863C22#348811yescharacteristic
1864C22#349811yescharacteristic
1865C22C2×#57611yescharacteristic
1866C22#358511yescharacteristic
1867C22#358511yescharacteristic
1868C22#358511yescharacteristic
1869C4—22no—
1870C4—22no—
1871C4—22no—
1872C4—22no—
1873C4—22no—
1874C4—41no—
1875C4—42no—
1876C4—41no—
1877C4—41no—
1878C4—41no—
1879C4—42no—
1880C4—41no—
1881C4—41no—
1882C4—42no—
1883C4—81no—
1884C4—81no—
1885C4—81no—
1886C4—81no—
1887C4—81no—
1888C4—81no—
1889C4#348411yescharacteristic
1890C4#348411yescharacteristic
1891C4#349611yescharacteristic
1892C4#349611yescharacteristic
1893C2—42no—
1894C2—42no—
1895C2—81no—
1896C2—82no—
1897C2—82no—
1898C2—82no—
1899C2—82no—
1900C2—82no—
1901C2—82no—
1902C2—161no—
1903C2#3568011yescharacteristic
1904C2#6036711yescharacteristic
1905C2#6037211yescharacteristic
1906C2#6203111yescharacteristic
1907C2#6207911yescharacteristic
1908C2#6244111yescharacteristic
1909C2#6246311yescharacteristic
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×#3273C2semidirect
3. C2×#3264C2semidirect
4. #38034C2semidirect
5. #29675C2semidirect
6. #29632C2semidirect
7. #29622C2semidirect
8. #25736C2semidirect
9. #25637C2semidirect
10. #25635C2semidirect
11. #25507C2semidirect
12. #25506C2semidirect
13. #24450C2semidirect
14. #24448C2semidirect
15. #24440C2semidirect
16. #24427C2semidirect
17. #24218C2semidirect
18. #24204C2semidirect
19. #24184C2semidirect
20. #23939C2semidirect
21. #23938C2semidirect
22. #23869C2semidirect
23. #23863C2semidirect
24. #23860C2semidirect
25. #23848C2semidirect
26. #23580C2semidirect
27. #23430C2semidirect
28. #23422C2semidirect
29. #22472C2semidirect
30. #22428C2semidirect
31. #22424C2semidirect
32. C22×AGL(1,ℤ/8)C22semidirect
33. C22×AGL(1,ℤ/8)C22semidirect
34. C22×AGL(1,ℤ/8)C22semidirect
35. C23×D8C22semidirect
40. C2×#559C22semidirect
42. C2×#550C22semidirect
45. C2×#546C22semidirect
46. C2×#546C22semidirect
50. C2×D42C22semidirect
53. C2×#540C22semidirect
56. C2×#535C22semidirect
59. C22×#127C22semidirect
61. C2×#529C22semidirect
64. C2×#496C22semidirect
65. C2×#495C22semidirect
67. C2×#468C22semidirect
68. C2×#468C22semidirect
69. C2×#465C22semidirect
70. C2×#463C22semidirect
71. C2×#463C22semidirect
72. C2×#463C22semidirect
73. C2×#459C22semidirect
74. C2×#452C22semidirect
75. C2×#452C22semidirect
76. C2×#452C22semidirect
78. C2×#449C22semidirect
79. C2×#449C22semidirect
80. C2×#450C22semidirect
81. C2×#450C22semidirect
82. C2×#447C22semidirect
83. C2×#447C22semidirect
84. C2×#447C22semidirect
85. C2×#447C22semidirect
86. C2×#447C22semidirect
87. C2×#447C22semidirect
88. C2×#442C22semidirect
89. C2×C4×D8C22semidirect
90. C2×#436C22semidirect
91. C2×#435C22semidirect
92. C2×#418C22semidirect
93. C2×#418C22semidirect
94. C2×#418C22semidirect
95. C2×#416C22semidirect
96. #2854C22semidirect
101. #2625C22semidirect
102. #2620C22semidirect
103. #2592C22semidirect
106. #2538C22semidirect
109. #2415C22semidirect
110. #2414C22semidirect
111. #2408C22semidirect
112. #2407C22semidirect
113. #2354C22semidirect
114. #2324C22semidirect
115. #2309C22semidirect
116. #2297C22semidirect
117. #2059C22semidirect
118. #2042C22semidirect
119. #2042C22semidirect
120. #2041C22semidirect
121. #2041C22semidirect
122. #2041C22semidirect
123. #2041C22semidirect
124. #2041C22semidirect
125. #2034C22semidirect
126. #2033C22semidirect
127. #2026C22semidirect
128. #2025C22semidirect
129. #2025C22semidirect
130. #2015C22semidirect
131. #2015C22semidirect
132. #2014C22semidirect
133. #2014C22semidirect
134. #2014C22semidirect
135. #2014C22semidirect
136. #2014C22semidirect
137. #2012C22semidirect
138. #2012C22semidirect
139. #2012C22semidirect
140. #2012C22semidirect
143. #2011C22semidirect
144. #2011C22semidirect
145. #2011C22semidirect
146. #2011C22semidirect
147. #2011C22semidirect
148. #2011C22semidirect
149. #2011C22semidirect
150. #2011C22semidirect
151. #2000C22semidirect
152. #2000C22semidirect
153. #1999C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1999C22semidirect
157. #1985C22semidirect
158. #1984C22semidirect
159. #1983C22semidirect
160. #1982C22semidirect
161. #1959C22semidirect
162. #1957C22semidirect
163. #1895C22semidirect
164. #1895C22semidirect
165. #1894C22semidirect
166. #1893C22semidirect
167. #1880C22semidirect
168. #1880C22semidirect
169. #1879C22semidirect
170. #1879C22semidirect
171. #1879C22semidirect
172. #1879C22semidirect
173. #1879C22semidirect
174. #1879C22semidirect
175. #1878C22semidirect
176. #1877C22semidirect
177. #1877C22semidirect
178. #1877C22semidirect
179. #1875C22semidirect
180. #1875C22semidirect
181. #1875C22semidirect
182. #1873C22semidirect
183. #1870C22semidirect
184. #1870C22semidirect
185. #1870C22semidirect
186. #1869C22semidirect
187. #1865C22semidirect
188. #1864C22semidirect
189. #1862C22semidirect
190. #1862C22semidirect
191. #1818C22semidirect
192. #1817C22semidirect
193. #1802C22semidirect
194. #1802C22semidirect
195. #1798C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
201. #1786C22semidirect
202. #1762C22semidirect
203. C4×#102C22semidirect
204. #1750C22semidirect
205. #1729C22semidirect
206. #1728C22semidirect
269. #546D4semidirect
276. D42D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35432
C2×#32732
C2×#32642
#380342
#296752
#296322
#296222
#257362
#256372
#256352
#255072
#255062
#244502
#244482
#244402
#244272
#242182
#242042
#241842
#239392
#239382
#238692
#238632
#238602
#238482
#235802
#234302
#234222
#224722
#224282
#224242