Finite Group Databasebeta

← #7514096

Subgroups — #7514096

Order 512.

3487 conjugacy classes of subgroups.

The subgroup lattice has 1907 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3275C211yesmaximal, characteristic, complemented
2C2×#3274C211yesmaximal, characteristic, complemented
3C2×#3006C211yesmaximal, characteristic, complemented
4C2×#3005C211yesmaximal, characteristic, complemented
5#59004C211yesmaximal, characteristic, complemented
6#36429C211yesmaximal, characteristic, complemented
7#31063C211yesmaximal, characteristic, complemented
8#30512C211yesmaximal, characteristic, complemented
9#30447C211yesmaximal, characteristic, complemented
10#30446C211yesmaximal, characteristic, complemented
11#25794C211yesmaximal, characteristic, complemented
12#25793C211yesmaximal, characteristic, complemented
13#25765C211yesmaximal, characteristic, complemented
14#25159C211yesmaximal, characteristic, complemented
15#25155C211yesmaximal, characteristic, complemented
16#25135C211yesmaximal, characteristic, complemented
17#25132C211yesmaximal, characteristic, complemented
18#25106C211yesmaximal, characteristic, complemented
19#25097C211yesmaximal, characteristic, complemented
20#24455C211yesmaximal, characteristic, complemented
21#24443C211yesmaximal, characteristic, complemented
22#24388C211yesmaximal, characteristic, complemented
23#24384C211yesmaximal, characteristic, complemented
24#24371C211yesmaximal, characteristic, complemented
25#24368C211yesmaximal, characteristic, complemented
26#23869C211yesmaximal, characteristic, complemented
27#23861C211yesmaximal, characteristic, complemented
28#23860C211yesmaximal, characteristic, complemented
29#22885C211yesmaximal, characteristic, complemented
30#22883C211yesmaximal, characteristic, complemented
31#22852C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic, complemented
33C22×#137C2211yescharacteristic, complemented
34C22×AGL(1,ℤ/8)C2211yescharacteristic
35C22×AGL(1,ℤ/8)C2211yescharacteristic
36C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
37C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
38C2×#550C2211yescharacteristic
39C2×#550C2211yescharacteristic, complemented
40C2×#548C2211yescharacteristic, complemented
41C2×#546C2211yescharacteristic
42C2×D42C2211yescharacteristic, complemented
43C2×#525C2211yescharacteristic
44C22×#121C2211yescharacteristic
45#3275—28no—
46#3274—28no—
47C2×#496C2211yescharacteristic, complemented
48C2×#495C2211yescharacteristic, complemented
49C2×#493C2211yescharacteristic, complemented
50C2×#470C2211yescharacteristic, complemented
51C2×#469C2211yescharacteristic
52C2×#469C2211yescharacteristic, complemented
53C2×#469C2211yescharacteristic, complemented
54C2×#469C2211yescharacteristic, complemented
55C2×#468C2211yescharacteristic, complemented
56C2×#464C2211yescharacteristic, complemented
57C2×#464C2211yescharacteristic, complemented
58C2×#460C2211yescharacteristic, complemented
59C2×#463C2211yescharacteristic, complemented
60C2×#459C2211yescharacteristic, complemented
61#3006—28no—
62#3005—28no—
63C2×#452C2211yescharacteristic, complemented
64C2×#452C2211yescharacteristic, complemented
65C2×#452C2211yescharacteristic, complemented
66C2×#452C2211yescharacteristic, complemented
67C2×#452C2211yescharacteristic, complemented
68C2×#449C2211yescharacteristic
69C2×#449C2211yescharacteristic
70C2×#449C2211yescharacteristic
71C2×#449C2211yescharacteristic
72C2×#449C2211yescharacteristic, complemented
73C2×#449C2211yescharacteristic, complemented
74C2×#449C2211yescharacteristic, complemented
75C2×#449C2211yescharacteristic, complemented
76C2×#449C2211yescharacteristic, complemented
77C2×#449C2211yescharacteristic, complemented
78C2×#448C2211yescharacteristic
79C2×#448C2211yescharacteristic, complemented
80C2×#450C2211yescharacteristic, complemented
81C2×#447C2211yescharacteristic
82C2×#447C2211yescharacteristic, complemented
83C2×#447C2211yescharacteristic, complemented
84C2×#447C2211yescharacteristic, complemented
85C2×#447C2211yescharacteristic, complemented
86C2×C4×SD16C2211yescharacteristic, complemented
87C2×C4×SD16C2211yescharacteristic, complemented
88C2×#436C2211yescharacteristic, complemented
89C2×#436C2211yescharacteristic, complemented
90C2×#417C2211yescharacteristic, complemented
91C2×#417C2211yescharacteristic, complemented
92C2×#419C2211yescharacteristic, complemented
93C2×#418C2211yescharacteristic, complemented
94C2×#407C2211yescharacteristic, complemented
95C2×#407C2211yescharacteristic, complemented
96#2847—21no—
97#2847C2211yescharacteristic, complemented
98#2678—21no—
99#2671—21no—
100#2540C2211yescharacteristic, complemented
101#2464—21no—
102#2435C2211yescharacteristic, complemented
103#2433—21no—
104#2433C2211yescharacteristic, complemented
105#2431—21no—
106#2431—21no—
107#2431C2211yescharacteristic
108#2431C2211yescharacteristic, complemented
109#2431C2211yescharacteristic, complemented
110#2428C2211yescharacteristic, complemented
111#2427C2211yescharacteristic, complemented
112#2424—21no—
113#2418—21no—
114#2417C2211yescharacteristic, complemented
115#2414C2211yescharacteristic
116#2408—21no—
117#2408—21no—
118#2408C2211yescharacteristic, complemented
119#2408C2211yescharacteristic, complemented
120#2407—21no—
121#2407—21no—
122#2407C2211yescharacteristic
123#2407C2211yescharacteristic, complemented
124#2403—21no—
125#2363C2211yescharacteristic
126#2361C2211yescharacteristic, complemented
127#2341C2211yescharacteristic, complemented
128#2341C2211yescharacteristic, complemented
129Q8×C22⋊C4C2211yescharacteristic, complemented
130D4×C22⋊C4—21no—
131C4×#120—21no—
132C4×#120C2211yescharacteristic
133#2065C2211yescharacteristic, complemented
134#2065C2211yescharacteristic, complemented
135#2056C2211yescharacteristic, complemented
136#2055C2211yescharacteristic, complemented
137#2054C2211yescharacteristic, complemented
138#2054C2211yescharacteristic, complemented
139#2042C2211yescharacteristic, complemented
140#2041C2211yescharacteristic, complemented
141#2035C2211yescharacteristic, complemented
142#2035C2211yescharacteristic, complemented
143#2034C2211yescharacteristic, complemented
144#2034C2211yescharacteristic, complemented
145#2033C2211yescharacteristic, complemented
146#2033C2211yescharacteristic, complemented
147#2015C2211yescharacteristic, complemented
148#2014C2211yescharacteristic, complemented
149#2014C2211yescharacteristic, complemented
150#2012C2211yescharacteristic, complemented
151#2012C2211yescharacteristic, complemented
152#2012C2211yescharacteristic, complemented
153#2012C2211yescharacteristic, complemented
154#2011C2211yescharacteristic, complemented
155#2011C2211yescharacteristic, complemented
156#2011C2211yescharacteristic, complemented
157#2000C2211yescharacteristic, complemented
158#2000C2211yescharacteristic, complemented
159#2000C2211yescharacteristic, complemented
160#2000C2211yescharacteristic, complemented
161#1999C2211yescharacteristic, complemented
162#1999C2211yescharacteristic, complemented
163#1999C2211yescharacteristic, complemented
164#1999C2211yescharacteristic, complemented
165#1982C2211yescharacteristic, complemented
166#1973C2211yescharacteristic, complemented
167#1972C2211yescharacteristic, complemented
168#1970C2211yescharacteristic, complemented
169#1968C2211yescharacteristic, complemented
170#1955C2211yescharacteristic, complemented
171#1934C2211yescharacteristic, complemented
172#1933C2211yescharacteristic, complemented
173#1927C2211yescharacteristic, complemented
174#1926C2211yescharacteristic, complemented
175#1923C2211yescharacteristic, complemented
176#1923C2211yescharacteristic, complemented
177#1895C2211yescharacteristic
178#1895C2211yescharacteristic, complemented
179#1895C2211yescharacteristic, complemented
180#1895C2211yescharacteristic, complemented
181#1894C2211yescharacteristic, complemented
182#1880C2211yescharacteristic, complemented
183#1880C2211yescharacteristic, complemented
184#1880C2211yescharacteristic, complemented
185#1879C2211yescharacteristic, complemented
186#1879C2211yescharacteristic, complemented
187#1879C2211yescharacteristic, complemented
188#1878C2211yescharacteristic, complemented
189#1877C2211yescharacteristic, complemented
190#1875C2211yescharacteristic, complemented
191#1874C2211yescharacteristic, complemented
192#1870C2211yescharacteristic, complemented
193#1870C2211yescharacteristic, complemented
194#1870C2211yescharacteristic, complemented
195#1865C2211yescharacteristic, complemented
196#1863C2211yescharacteristic, complemented
197#1854C2211yescharacteristic, complemented
198#1853C2211yescharacteristic, complemented
199#1851C2211yescharacteristic, complemented
200#1851C2211yescharacteristic, complemented
201#1788C2211yescharacteristic, complemented
202#1788C2211yescharacteristic, complemented
203#1786C2211yescharacteristic, complemented
204#1763C2211yescharacteristic, complemented
205#1753C2211yescharacteristic, complemented
206#1753C2211yescharacteristic, complemented
207C22×#41—21no—
208C22×#41—21no—
209C22×#41—24no—
210C22×#41—24no—
211C22×#41—42no—
212C22×#41—42no—
213C22×#41—42no—
214C22×#41—42no—
215C22×#41C2311yescharacteristic
216C22×#41C2311yescharacteristic
217C22×#41C2311yescharacteristic
218C22×#41C2311yescharacteristic
219C22×#41C2311yescharacteristic
220C22×#41C2311yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×D4—21no—
223C23×D4—21no—
224C23×D4—21no—
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C24×C4—21no—
229C24×C4C2311yescharacteristic
230C2×#137—24no—
231C2×#137—24no—
232C2×#137—42no—
233C2×AGL(1,ℤ/8)—24no—
234C2×AGL(1,ℤ/8)—24no—
235C2×AGL(1,ℤ/8)—24no—
236C2×AGL(1,ℤ/8)—24no—
237C2×AGL(1,ℤ/8)—24no—
238C2×AGL(1,ℤ/8)—24no—
239C2×AGL(1,ℤ/8)—42no—
240C2×AGL(1,ℤ/8)—42no—
241C2×AGL(1,ℤ/8)—42no—
242C2×AGL(1,ℤ/8)—42no—
243C2×AGL(1,ℤ/8)—42no—
244C2×AGL(1,ℤ/8)—42no—
245C22×Q16C2311yescharacteristic
246C22×Q16C2311yescharacteristic
247C22×SD16C2311yescharacteristic
248C22×SD16C2311yescharacteristic
249C22×SD16C2311yescharacteristic
250C22×SD16C2311yescharacteristic
251C22×SD16C2311yescharacteristic
252C22×SD16C2311yescharacteristic
253C22×SD16C2311yescharacteristic
254C22×SD16C2311yescharacteristic
255C22×SD16C2311yescharacteristic
256C22×D8C2311yescharacteristic
257C22×D8C2311yescharacteristic
258C22×D8C2311yescharacteristic
259C22×D8C2311yescharacteristic
260C22×D8C2311yescharacteristic
261C22×D8C2311yescharacteristic
262C22×D8C2311yescharacteristic
263C22×D8C2311yescharacteristic
264C22×D8C2311yescharacteristic
265C22×M16C2311yescharacteristic
266C22×M16C2311yescharacteristic
267C22×M16C2311yescharacteristic
268C22×M16C2311yescharacteristic
269C22×M16C2311yescharacteristic
270#550—24no—
271#550—42no—
272#550—42no—
273#550—42no—
274#548—24no—
275#548—42no—
276#546—24no—
277#546—42no—
278D42—24no—
279D42—42no—
280C2×#127—21no—
281C2×#127—21no—
282C2×#127C2311yescharacteristic
283C2×#127C2311yescharacteristic
284C2×#127C2311yescharacteristic
285C2×#124—21no—
286C2×#124C2311yescharacteristic
287C2×#124C2311yescharacteristic
288C2×#124C2311yescharacteristic
289#525—24no—
290#525—42no—
291C2×#123—21no—
292C2×#123—21no—
293C2×C22⋊Q8—21no—
294C2×C22⋊Q8C2311yescharacteristic
295C2×C22⋊Q8C2311yescharacteristic
296C2×C22⋊Q8C2311yescharacteristic
297C2×C22⋊Q8C2311yescharacteristic
298C2×#121—21no—
299C2×#121—21no—
300C2×#121—21no—
301C2×#121—21no—
302C2×#121—21no—
303C2×#121—21no—
304C2×#121—21no—
305C2×#121—21no—
306C2×#121—21no—
307C2×#121—21no—
308C2×#121—24no—
309C2×#121—42no—
310C2×#121C2311yescharacteristic
311C2×#121C2311yescharacteristic
312C2×#121C2311yescharacteristic
313C2×#121C2311yescharacteristic
314C2×#121C2311yescharacteristic
315C2×#121C2311yescharacteristic
316C2×#121C2311yescharacteristic
317C2×#121C2311yescharacteristic
318C2×#121C2311yescharacteristic
319C2×#121C2311yescharacteristic
320C2×#121C2311yescharacteristic
321C2×#121C2311yescharacteristic
322C2×#120—21no—
323C2×#120—21no—
324C2×#120—21no—
325C2×#120—21no—
326C2×#120—21no—
327C2×#120—21no—
328C2×#120—21no—
329C2×#120—21no—
330C2×#120—21no—
331C2×#120D411yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×D4—21no—
336C2×C4×D4—21no—
337C2×C4×D4—21no—
338C2×C4×D4—21no—
339C2×C4×D4—21no—
340C2×C4×D4—21no—
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×#117C2311yescharacteristic
347C22×C4⋊C4C2311yescharacteristic
348C22×C22⋊C4—21no—
349C22×C22⋊C4—21no—
350#496—42no—
351#495—24no—
352#493—24no—
353#470—24no—
354#469—24no—
355#469—24no—
356#469—24no—
357#469—42no—
358#468—42no—
359#464—24no—
360#464—42no—
361#463—24no—
362#460—24no—
363#459—24no—
364#452—24no—
365#452—24no—
366#452—24no—
367#452—24no—
368#452—24no—
369#450—24no—
370#449—24no—
371#449—24no—
372#449—24no—
373#449—24no—
374#449—24no—
375#449—24no—
376#449—24no—
377#449—24no—
378#449—24no—
379#449D418yescomplemented
380#448—24no—
381#448D418yescomplemented
382#447—24no—
383#447—24no—
384#447—24no—
385#447—24no—
386#447—42no—
387C4×SD16—24no—
388C4×SD16—24no—
389#436—24no—
390#436—24no—
391C2×#107C2311yescharacteristic
392C2×#106C2311yescharacteristic
393C2×#106C2311yescharacteristic
394C2×#106C2311yescharacteristic
395C2×C4⋊C8C2311yescharacteristic
396C2×C4⋊C8C2311yescharacteristic
397C2×C4⋊C8C2311yescharacteristic
398#419—24no—
399#418—24no—
400#417—24no—
401#417—24no—
402C2×#103C2311yescharacteristic
403C2×#103C2311yescharacteristic
404C2×#103C2311yescharacteristic
405C2×#103C2311yescharacteristic
406C2×#103C2311yescharacteristic
407C2×#103C2311yescharacteristic
408C2×#103C2311yescharacteristic
409C2×#103C2311yescharacteristic
410C2×#103C2311yescharacteristic
411C2×#103C2311yescharacteristic
412C2×#103C2311yescharacteristic
413C2×#102C2311yescharacteristic
414C2×#102C2311yescharacteristic
415C2×#102C2311yescharacteristic
416C2×#102C2311yescharacteristic
417C2×#102C2311yescharacteristic
418C2×#102C2311yescharacteristic
419C2×#102C2311yescharacteristic
420C2×#102C2311yescharacteristic
421C2×#102C2311yescharacteristic
422C2×#102C2311yescharacteristic
423C2×#102C2311yescharacteristic
424C2×#102C2311yescharacteristic
425C2×#102C2311yescharacteristic
426C2×#102C2311yescharacteristic
427C2×#102C2311yescharacteristic
428C2×#102C2311yescharacteristic
429C2×#102C2311yescharacteristic
430C2×#102C2311yescharacteristic
431C2×#102C2311yescharacteristic
432C2×#102C2311yescharacteristic
433C2×#102C2311yescharacteristic
434#407—24no—
435#407—24no—
436C2×C22⋊C8C2311yescharacteristic
437C2×C22⋊C8C2311yescharacteristic
438C2×C22⋊C8C2311yescharacteristic
439C2×C22⋊C8C2311yescharacteristic
440C2×C22⋊C8C2311yescharacteristic
441C2×C22⋊C8C2311yescharacteristic
442C2×C22⋊C8C2311yescharacteristic
443C2×C22⋊C8C2311yescharacteristic
444C2×C22⋊C8C2311yescharacteristic
445C2×C22⋊C8C2311yescharacteristic
446C2×C22⋊C8C2311yescharacteristic
447C2×#97C2311yescharacteristic
448C2×C4×C8C2311yescharacteristic
449C2×C4×C8C2311yescharacteristic
450#399—21no—
451#398—21no—
452#397—21no—
453#396—21no—
454#394—21no—
455#394—21no—
456#394—21no—
457#394—21no—
458#394—21no—
459#394—21no—
460#394—21no—
461#394—21no—
462#394—21no—
463#392—21no—
464#392—21no—
465#392—21no—
466#392—21no—
467#392—21no—
468#392—21no—
469#392—21no—
470#392—21no—
471#392—21no—
472#392—21no—
473#392—21no—
474#392—21no—
475#392—21no—
476#392—21no—
477#392—21no—
478#391—21no—
479#391—21no—
480#391C2311yescharacteristic
481#391C2311yescharacteristic
482#391C2311yescharacteristic
483#390—21no—
484#390—21no—
485#390—21no—
486#390—21no—
487#390—21no—
488#390—21no—
489#390—21no—
490#390—21no—
491#390C2311yescharacteristic
492#390C2311yescharacteristic
493#390C2311yescharacteristic
494#390C2311yescharacteristic
495#390C2311yescharacteristic
496#390C2311yescharacteristic
497#390C2311yescharacteristic
498#389C2311yescharacteristic
499#389C2311yescharacteristic
500#388—21no—
501#388—21no—
502#388—21no—
503#386—21no—
504#386—21no—
505#386—21no—
506#386—21no—
507#386—21no—
508#386—21no—
509#386—21no—
510#386—21no—
511#386—21no—
512#386—21no—
513#386—21no—
514#386—21no—
515#386—21no—
516#386—21no—
517#386—21no—
518#386—21no—
519#386D411yescharacteristic
520#386D411yescharacteristic
521#386D411yescharacteristic
522#385—21no—
523#385—21no—
524#385—21no—
525#385D411yescharacteristic
526#385D411yescharacteristic
527#385D411yescharacteristic
528#380—21no—
529#380—21no—
530#380—21no—
531#380—21no—
532#380—21no—
533#380C2311yescharacteristic
534#380C2311yescharacteristic
535#380C2311yescharacteristic
536#380C2311yescharacteristic
537#379—21no—
538#379—21no—
539#379—21no—
540#379—21no—
541#379D411yescharacteristic
542C4×C4⋊C4C2311yescharacteristic
543C4×C22⋊C4—21no—
544C4×C22⋊C4—21no—
545C4×C22⋊C4—21no—
546C4×C22⋊C4—21no—
547C4×C22⋊C4C2311yescharacteristic
548C4×C22⋊C4C2311yescharacteristic
549C4×C22⋊C4C2311yescharacteristic
550#340C2311yescharacteristic
551#340C2311yescharacteristic
552#340C2311yescharacteristic
553#340C2311yescharacteristic
554#340C2311yescharacteristic
555#340C2311yescharacteristic
556#340C2311yescharacteristic
557#340C2311yescharacteristic
558#336C2311yescharacteristic
559#336C2311yescharacteristic
560#336C2311yescharacteristic
561#336C2311yescharacteristic
562#336C2311yescharacteristic
563#336C2311yescharacteristic
564C25—21no—
565C25—21no—
566C25—21no—
567C25C2×D411yescharacteristic
568C2×#41—22no—
569C2×#41—22no—
570C2×#41—22no—
571C2×#41—22no—
572C2×#41—22no—
573C2×#41—22no—
574C2×#41—22no—
575C2×#41—22no—
576C2×#41—22no—
577C2×#41—22no—
578C2×#41—22no—
579C2×#41—22no—
580C2×#41—22no—
581C2×#41—22no—
582C2×#41—22no—
583C2×#41—22no—
584C2×#41—22no—
585C2×#41—22no—
586C2×#41—22no—
587C2×#41—44no—
588C2×#41—41no—
589C2×#41—41no—
590C2×#41—41no—
591C2×#41—41no—
592C2×#41—41no—
593C2×#41—41no—
594C2×#41—41no—
595C2×#41—41no—
596C2×#41—41no—
597C2×#41—41no—
598C2×#41—41no—
599C2×#41—41no—
600C2×#41—41no—
601C2×#41—41no—
602C2×#41—44no—
603C2×#41—44no—
604C2×#41—44no—
605C2×#41—44no—
606C2×#41—41no—
607C2×#41—41no—
608C2×#41—44no—
609C2×#41—416no—
610C2×#41—416no—
611C2×#41—416no—
612C2×#41—416no—
613C2×#41C2×D414yes—
614C22×Q8—21no—
615C22×Q8—22no—
616C22×Q8—22no—
617C22×Q8—22no—
618C22×Q8—41no—
619C22×Q8—41no—
620C22×Q8C2×D414yescomplemented
621C22×Q8C2411yescharacteristic
622C22×Q8C2411yescharacteristic
623C22×Q8C2411yescharacteristic
624C22×D4—22no—
625C22×D4—22no—
626C22×D4—21no—
627C22×D4—21no—
628C22×D4—21no—
629C22×D4—21no—
630C22×D4—22no—
631C22×D4—22no—
632C22×D4—22no—
633C22×D4—21no—
634C22×D4—21no—
635C22×D4—21no—
636C22×D4—21no—
637C22×D4—21no—
638C22×D4—21no—
639C22×D4—21no—
640C22×D4—21no—
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—21no—
645C22×D4—21no—
646C22×D4—21no—
647C22×D4—22no—
648C22×D4—22no—
649C22×D4—21no—
650C22×D4—21no—
651C22×D4—21no—
652C22×D4—21no—
653C22×D4—21no—
654C22×D4—21no—
655C22×D4—21no—
656C22×D4—21no—
657C22×D4—21no—
658C22×D4—22no—
659C22×D4—22no—
660C22×D4—41no—
661C22×D4—41no—
662C22×D4—41no—
663C22×D4—41no—
664C22×D4—41no—
665C22×D4—41no—
666C22×D4—41no—
667C22×D4—41no—
668C22×D4—41no—
669C22×D4—44no—
670C22×D4—44no—
671C22×D4—44no—
672C22×D4—44no—
673C22×D4—44no—
674C22×D4—44no—
675C22×D4—82no—
676C22×D4—82no—
677C22×D4—82no—
678C22×D4C2×D411yescharacteristic
679C22×D4C2×D411yescharacteristic
680C22×D4C2×D411yescharacteristic
681C22×D4C2411yescharacteristic
682C22×D4C2411yescharacteristic
683C22×D4C2411yescharacteristic
684C22×D4C2411yescharacteristic
685C22×D4C2411yescharacteristic
686C22×D4C2411yescharacteristic
687C23×C4—21no—
688C23×C4—21no—
689C23×C4—21no—
690C23×C4—22no—
691C23×C4—22no—
692C23×C4—22no—
693C23×C4—22no—
694C23×C4—21no—
695C23×C4—21no—
696C23×C4—21no—
697C23×C4—21no—
698C23×C4—21no—
699C23×C4—21no—
700C23×C4—21no—
701C23×C4—41no—
702C23×C4—41no—
703C23×C4—44no—
704C23×C4—44no—
705C23×C4—44no—
706C23×C4C2×D411yescharacteristic
707C23×C4C2×D411yescharacteristic
708C23×C4C2×D411yescharacteristic
709C23×C4C2411yescharacteristic
710C23×C4C2411yescharacteristic
711C23×C4C2411yescharacteristic
712C23×C4C2411yescharacteristic
713#137—416no—
714AGL(1,ℤ/8)—416no—
715AGL(1,ℤ/8)—416no—
716AGL(1,ℤ/8)—416no—
717AGL(1,ℤ/8)—416no—
718C2×Q16—22no—
719C2×Q16—22no—
720C2×Q16—22no—
721C2×Q16—22no—
722C2×Q16—22no—
723C2×Q16—41no—
724C2×SD16—22no—
725C2×SD16—22no—
726C2×SD16—22no—
727C2×SD16—22no—
728C2×SD16—22no—
729C2×SD16—22no—
730C2×SD16—22no—
731C2×SD16—22no—
732C2×SD16—22no—
733C2×SD16—22no—
734C2×SD16—22no—
735C2×SD16—22no—
736C2×SD16—22no—
737C2×SD16—22no—
738C2×SD16—41no—
739C2×SD16—41no—
740C2×SD16—41no—
741C2×SD16—41no—
742C2×SD16—41no—
743C2×SD16—41no—
744C2×SD16—41no—
745C2×SD16—41no—
746C2×SD16—41no—
747C2×SD16—41no—
748C2×SD16C2×D414yes—
749C2×SD16C2×D414yes—
750C2×SD16C2×D414yescomplemented
751C2×D8—22no—
752C2×D8—22no—
753C2×D8—22no—
754C2×D8—22no—
755C2×D8—22no—
756C2×D8—22no—
757C2×D8—22no—
758C2×D8—22no—
759C2×D8—22no—
760C2×D8—22no—
761C2×D8—22no—
762C2×D8—22no—
763C2×D8—22no—
764C2×D8—22no—
765C2×D8—22no—
766C2×D8—41no—
767C2×D8—41no—
768C2×D8—41no—
769C2×D8—41no—
770C2×D8—41no—
771C2×D8—41no—
772C2×D8—41no—
773C2×D8—41no—
774C2×D8—41no—
775C2×D8—41no—
776C2×D8—41no—
777C2×D8C2×D414yescomplemented
778C2×M16—22no—
779C2×M16—22no—
780C2×M16—22no—
781C2×M16—22no—
782C2×M16—22no—
783C2×M16—22no—
784C2×M16—22no—
785C2×M16—22no—
786C2×M16—22no—
787C2×M16—22no—
788C2×M16—41no—
789C2×M16—41no—
790C2×M16—41no—
791C2×M16—41no—
792C2×M16—41no—
793C22×C8C2411yescharacteristic
794C22×C8C2411yescharacteristic
795C22×C8C2411yescharacteristic
796C22×C8C2411yescharacteristic
797C22×C8C2411yescharacteristic
798C22×C8C2411yescharacteristic
799C22×C8C2411yescharacteristic
800C22×C8C2411yescharacteristic
801#127—22no—
802#127—22no—
803#127—22no—
804#127—41no—
805#127—41no—
806#127—41no—
807#127—44no—
808#127—44no—
809#124—22no—
810#124—22no—
811#124—41no—
812#124—41no—
813#124—41no—
814#124—41no—
815#124—44no—
816#123—44no—
817#123—44no—
818C22⋊Q8—22no—
819C22⋊Q8—22no—
820C22⋊Q8—22no—
821C22⋊Q8—22no—
822C22⋊Q8—22no—
823C22⋊Q8—41no—
824C22⋊Q8—41no—
825C22⋊Q8—41no—
826C22⋊Q8—44no—
827#121—22no—
828#121—22no—
829#121—22no—
830#121—22no—
831#121—22no—
832#121—22no—
833#121—22no—
834#121—22no—
835#121—22no—
836#121—22no—
837#121—22no—
838#121—22no—
839#121—22no—
840#121—22no—
841#121—44no—
842#121—44no—
843#121—44no—
844#121—44no—
845#121—44no—
846#121—41no—
847#121—41no—
848#121—41no—
849#121—41no—
850#121—41no—
851#121—41no—
852#121—41no—
853#121—41no—
854#121—44no—
855#121—44no—
856#121—44no—
857#121—44no—
858#121—82no—
859#121C2×D414yes—
860#121C2×D414yes—
861#120—42no—
862#120—44no—
863#120—44no—
864#120—44no—
865#120—44no—
866#120—44no—
867#120—82no—
868#120—82no—
869#120—82no—
870#120—82no—
871C4×Q8—22no—
872C4×Q8—22no—
873C4×Q8—22no—
874C4×Q8—41no—
875C4×Q8—41no—
876C4×Q8—41no—
877C4×D4—22no—
878C4×D4—22no—
879C4×D4—22no—
880C4×D4—22no—
881C4×D4—22no—
882C4×D4—22no—
883C4×D4—41no—
884C4×D4—41no—
885C4×D4—41no—
886C4×D4—41no—
887C4×D4—44no—
888C4×D4—44no—
889C4×D4—44no—
890C4×D4—44no—
891C4×D4—44no—
892C4×D4—82no—
893#117—22no—
894#117—41no—
895C2×C4⋊C4—22no—
896C2×C4⋊C4—21no—
897C2×C4⋊C4—21no—
898C2×C4⋊C4—21no—
899C2×C4⋊C4—21no—
900C2×C4⋊C4—21no—
901C2×C4⋊C4—21no—
902C2×C4⋊C4—21no—
903C2×C4⋊C4—21no—
904C2×C4⋊C4—21no—
905C2×C4⋊C4—21no—
906C2×C4⋊C4—41no—
907C2×C4⋊C4C2×D411yescharacteristic
908C2×C4⋊C4C2×D411yescharacteristic
909C2×C4⋊C4C2×D411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
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⋊C4—21no—
952C2×C22⋊C4—21no—
953C2×C22⋊C4—21no—
954C2×C22⋊C4—21no—
955C2×C22⋊C4—21no—
956C2×C22⋊C4—21no—
957C2×C22⋊C4—21no—
958C2×C22⋊C4—21no—
959C2×C22⋊C4—21no—
960C2×C22⋊C4—44no—
961C2×C22⋊C4—44no—
962C2×C22⋊C4C2×D411yescharacteristic
963C2×C22⋊C4C2×D411yescharacteristic
964C2×C22⋊C4C2×D411yescharacteristic
965C2×C22⋊C4C2×D411yescharacteristic
966C2×C22⋊C4C2×D411yescharacteristic
967C2×C22⋊C4C2×D411yescharacteristic
968C2×C22⋊C4C2×D411yescharacteristic
969C2×C22⋊C4C2×D411yescharacteristic
970C2×C22⋊C4C2×D411yescharacteristic
971C2×C22⋊C4C2×D411yescharacteristic
972C2×C22⋊C4C2×D411yescharacteristic
973C2×C22⋊C4C2×D411yescharacteristic
974C2×C42—21no—
975C2×C42—21no—
976C2×C42—21no—
977C2×C42—21no—
978C2×C42—21no—
979C2×C42C2411yescharacteristic
980C2×C42C2411yescharacteristic
981C2×C42C2411yescharacteristic
982#107—41no—
983#106—22no—
984#106—22no—
985#106—41no—
986C4⋊C8—22no—
987C4⋊C8—22no—
988C4⋊C8—41no—
989#103—22no—
990#103—22no—
991#103—22no—
992#103—22no—
993#103—22no—
994#103—22no—
995#103—41no—
996#103—41no—
997#103C2×D414yescomplemented
998#103C2×D414yescomplemented
999#103C2×D414yescomplemented
1000#102—22no—
1001#102—22no—
1002#102—22no—
1003#102—22no—
1004#102—22no—
1005#102—22no—
1006#102—22no—
1007#102—22no—
1008#102—22no—
1009#102—22no—
1010#102—22no—
1011#102—22no—
1012#102—22no—
1013#102—22no—
1014#102—41no—
1015#102—41no—
1016#102—41no—
1017#102—41no—
1018#102—41no—
1019#102—41no—
1020#102C2×D414yescomplemented
1021C22⋊C8—22no—
1022C22⋊C8—22no—
1023C22⋊C8—22no—
1024C22⋊C8—22no—
1025C22⋊C8—22no—
1026C22⋊C8—22no—
1027C22⋊C8—22no—
1028C22⋊C8—22no—
1029C22⋊C8—41no—
1030C22⋊C8C2×D414yes—
1031C22⋊C8C2×D414yescomplemented
1032#97—41no—
1033C4×C8—22no—
1034C4×C8—22no—
1035#95—21no—
1036#95—21no—
1037#95—21no—
1038#95—21no—
1039#95—21no—
1040#95—21no—
1041#95—21no—
1042#95—21no—
1043#95—21no—
1044#95—21no—
1045#95—21no—
1046#95—21no—
1047#95—21no—
1048#95C2×D411yescharacteristic
1049#95C2×D411yescharacteristic
1050#95C2×D411yescharacteristic
1051#95C2×D411yescharacteristic
1052#95C2×D411yescharacteristic
1053#95C2×D411yescharacteristic
1054C24—21no—
1055C24—21no—
1056C24—21no—
1057C24—21no—
1058C24—22no—
1059C24—22no—
1060C24—21no—
1061C24—21no—
1062C24—41no—
1063C24—41no—
1064C24—41no—
1065C24—41no—
1066C24—41no—
1067C24—42no—
1068C24—42no—
1069C24—42no—
1070C24—42no—
1071C24—42no—
1072C24—42no—
1073C24—42no—
1074C24—42no—
1075C24—42no—
1076C24—42no—
1077C24—42no—
1078C24—42no—
1079C24—81no—
1080C24—81no—
1081C24—81no—
1082C24—81no—
1083C24—81no—
1084C24—81no—
1085C24—81no—
1086C24—81no—
1087C24—81no—
1088C24C22×D411yescharacteristic
1089C24C22×D411yescharacteristic
1090C24C22×D411yescharacteristic
1091C24C22×D411yescharacteristic
1092#41—28no—
1093#41—28no—
1094#41—44no—
1095#41—44no—
1096#41—44no—
1097#41—44no—
1098#41—44no—
1099#41—44no—
1100#41—44no—
1101#41—44no—
1102#41—44no—
1103#41—44no—
1104#41—44no—
1105#41—44no—
1106#41—44no—
1107#41—44no—
1108#41—432no—
1109#41—432no—
1110#41—44no—
1111#41—44no—
1112#41—44no—
1113#41—82no—
1114#41—82no—
1115#41—82no—
1116#41—82no—
1117#41—82no—
1118C2×Q8—24no—
1119C2×Q8—21no—
1120C2×Q8—21no—
1121C2×Q8—21no—
1122C2×Q8—21no—
1123C2×Q8—28no—
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—42no—
1135C2×Q8—42no—
1136C2×Q8—44no—
1137C2×Q8—44no—
1138C2×Q8—44no—
1139C2×Q8C22×D412yes—
1140C2×Q8C22×D412yes—
1141C2×Q8C22×D412yes—
1142C2×Q8H(5,𝔽2)12yes—
1143C2×D4—28no—
1144C2×D4—24no—
1145C2×D4—22no—
1146C2×D4—24no—
1147C2×D4—24no—
1148C2×D4—22no—
1149C2×D4—24no—
1150C2×D4—22no—
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—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—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—41no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—44no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—44no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—432no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—82no—
1246C2×D4—82no—
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—82no—
1259C2×D4—82no—
1260C2×D4—82no—
1261C2×D4—81no—
1262C2×D4—81no—
1263C2×D4—81no—
1264C2×D4—81no—
1265C2×D4—81no—
1266C2×D4—81no—
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—816no—
1279C2×D4—816no—
1280C2×D4C22×D412yes—
1281C2×D4C22×D412yes—
1282C2×D4C22×D412yes—
1283C2×D4H(5,𝔽2)12yes—
1284C22×C4—21no—
1285C22×C4—21no—
1286C22×C4—21no—
1287C22×C4—21no—
1288C22×C4—21no—
1289C22×C4—21no—
1290C22×C4—21no—
1291C22×C4—21no—
1292C22×C4—21no—
1293C22×C4—24no—
1294C22×C4—22no—
1295C22×C4—24no—
1296C22×C4—22no—
1297C22×C4—21no—
1298C22×C4—21no—
1299C22×C4—21no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—24no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—21no—
1306C22×C4—21no—
1307C22×C4—21no—
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—21no—
1312C22×C4—21no—
1313C22×C4—21no—
1314C22×C4—21no—
1315C22×C4—21no—
1316C22×C4—21no—
1317C22×C4—21no—
1318C22×C4—21no—
1319C22×C4—21no—
1320C22×C4—21no—
1321C22×C4—21no—
1322C22×C4—21no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—41no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—42no—
1331C22×C4—42no—
1332C22×C4—42no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—42no—
1339C22×C4—42no—
1340C22×C4—42no—
1341C22×C4—42no—
1342C22×C4—42no—
1343C22×C4—42no—
1344C22×C4—42no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—42no—
1348C22×C4—432no—
1349C22×C4—42no—
1350C22×C4—42no—
1351C22×C4—42no—
1352C22×C4—42no—
1353C22×C4—81no—
1354C22×C4—81no—
1355C22×C4—81no—
1356C22×C4—81no—
1357C22×C4—81no—
1358C22×C4C22×D411yescharacteristic
1359C22×C4C22×D411yescharacteristic
1360C22×C4C22×D411yescharacteristic
1361C22×C4C22×D411yescharacteristic
1362C22×C4C22×D411yescharacteristic
1363C22×C4C22×D411yescharacteristic
1364C22×C4C22×D411yescharacteristic
1365C22×C4C22×D411yescharacteristic
1366C22×C4C22×D411yescharacteristic
1367C22×C4C22×D412yes—
1368C22×C4C22×D412yes—
1369C22×C4C22×D411yescharacteristic
1370C22×C4H(5,𝔽2)12yes—
1371C22×C4H(5,𝔽2)12yes—
1372C22×C4C2511yescharacteristic
1373Q16—44no—
1374Q16—44no—
1375SD16—28no—
1376SD16—28no—
1377SD16—44no—
1378SD16—44no—
1379SD16—44no—
1380SD16—44no—
1381SD16—44no—
1382SD16—44no—
1383SD16—82no—
1384D8—44no—
1385D8—44no—
1386D8—44no—
1387D8—44no—
1388D8—44no—
1389D8—44no—
1390D8—44no—
1391D8—44no—
1392D8—82no—
1393M16—44no—
1394M16—44no—
1395M16—44no—
1396M16—44no—
1397M16—44no—
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—21no—
1413C2×C8—21no—
1414C2×C8—21no—
1415C2×C8—21no—
1416C2×C8—21no—
1417C2×C8—21no—
1418C2×C8C22×D412yes—
1419C2×C8C22×D412yes—
1420C2×C8C22×D412yes—
1421C2×C8C22×D412yes—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
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—41no—
1437C4⋊C4—42no—
1438C4⋊C4—42no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—42no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—81no—
1446C4⋊C4—81no—
1447C4⋊C4C22×D412yes—
1448C4⋊C4C22×D412yes—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—22no—
1454C22⋊C4—22no—
1455C22⋊C4—22no—
1456C22⋊C4—22no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—41no—
1460C22⋊C4—41no—
1461C22⋊C4—41no—
1462C22⋊C4—41no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
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—42no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
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—81no—
1501C22⋊C4—81no—
1502C22⋊C4—81no—
1503C22⋊C4—81no—
1504C42—21no—
1505C42—21no—
1506C42—21no—
1507C42—21no—
1508C42—21no—
1509C42—21no—
1510C42—42no—
1511C42—42no—
1512C42—42no—
1513C42—42no—
1514C42—81no—
1515C23—21no—
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—21no—
1533C23—21no—
1534C23—22no—
1535C23—22no—
1536C23—21no—
1537C23—21no—
1538C23—22no—
1539C23—21no—
1540C23—21no—
1541C23—22no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—44no—
1546C23—48no—
1547C23—44no—
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—82no—
1587C23—82no—
1588C23—82no—
1589C23—84no—
1590C23—84no—
1591C23—84no—
1592C23—84no—
1593C23—82no—
1594C23—82no—
1595C23—84no—
1596C23—84no—
1597C23—84no—
1598C23—84no—
1599C23—84no—
1600C23—84no—
1601C23—84no—
1602C23—84no—
1603C23—84no—
1604C23—162no—
1605C23—162no—
1606C23—162no—
1607C23—162no—
1608C23—162no—
1609C23—162no—
1610C23—162no—
1611C23D4212yes—
1612C23D4212yes—
1613C23C23×D411yescharacteristic
1614Q8—22no—
1615Q8—22no—
1616Q8—22no—
1617Q8—22no—
1618Q8—22no—
1619Q8—48no—
1620Q8—41no—
1621Q8—41no—
1622Q8—41no—
1623Q8—41no—
1624Q8—41no—
1625Q8—41no—
1626Q8D4214yes—
1627D4—22no—
1628D4—22no—
1629D4—22no—
1630D4—22no—
1631D4—22no—
1632D4—22no—
1633D4—22no—
1634D4—22no—
1635D4—44no—
1636D4—48no—
1637D4—48no—
1638D4—48no—
1639D4—48no—
1640D4—48no—
1641D4—48no—
1642D4—41no—
1643D4—41no—
1644D4—41no—
1645D4—41no—
1646D4—41no—
1647D4—41no—
1648D4—41no—
1649D4—41no—
1650D4—41no—
1651D4—41no—
1652D4—41no—
1653D4—41no—
1654D4—41no—
1655D4—41no—
1656D4—41no—
1657D4—41no—
1658D4—84no—
1659D4—84no—
1660D4—84no—
1661D4—84no—
1662D4—82no—
1663D4—84no—
1664D4—82no—
1665D4—84no—
1666D4—84no—
1667D4—84no—
1668D4—84no—
1669D4—84no—
1670D4—84no—
1671D4—84no—
1672D4—84no—
1673D4—84no—
1674D4—162no—
1675D4—162no—
1676D4—162no—
1677D4—162no—
1678D4—162no—
1679D4—162no—
1680D4—162no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—21no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—22no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—44no—
1723C2×C4—48no—
1724C2×C4—44no—
1725C2×C4—44no—
1726C2×C4—48no—
1727C2×C4—48no—
1728C2×C4—48no—
1729C2×C4—48no—
1730C2×C4—41no—
1731C2×C4—41no—
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—41no—
1761C2×C4—41no—
1762C2×C4—84no—
1763C2×C4—84no—
1764C2×C4—84no—
1765C2×C4—84no—
1766C2×C4—162no—
1767C2×C4D4212yes—
1768C2×C4D4212yes—
1769C2×C4#57512yes—
1770C2×C4C23×D411yescharacteristic
1771C2×C4C23×D411yescharacteristic
1772C2×C4C2×H(5,𝔽2)11yescharacteristic
1773C2×C4C2×H(5,𝔽2)11yescharacteristic
1774C2×C4C2×H(5,𝔽2)11yescharacteristic
1775C2×C4C2×H(5,𝔽2)11yescharacteristic
1776C8—22no—
1777C8—22no—
1778C8—22no—
1779C8—22no—
1780C8—41no—
1781C8—41no—
1782C8—41no—
1783C8—41no—
1784C22—22no—
1785C22—22no—
1786C22—22no—
1787C22—22no—
1788C22—22no—
1789C22—22no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—42no—
1799C22—42no—
1800C22—41no—
1801C22—41no—
1802C22—42no—
1803C22—42no—
1804C22—41no—
1805C22—42no—
1806C22—41no—
1807C22—41no—
1808C22—42no—
1809C22—41no—
1810C22—42no—
1811C22—41no—
1812C22—42no—
1813C22—42no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—42no—
1818C22—41no—
1819C22—41no—
1820C22—42no—
1821C22—41no—
1822C22—41no—
1823C22—42no—
1824C22—88no—
1825C22—816no—
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—168no—
1857C22—168no—
1858C22C2×D4211yescharacteristic
1859C22C2×D4211yescharacteristic
1860C22#348411yescharacteristic
1861C22C2×#57511yescharacteristic
1862C22#358511yescharacteristic
1863C22#358511yescharacteristic
1864C22#358511yescharacteristic
1865C4—22no—
1866C4—22no—
1867C4—24no—
1868C4—22no—
1869C4—41no—
1870C4—41no—
1871C4—42no—
1872C4—41no—
1873C4—42no—
1874C4—41no—
1875C4—42no—
1876C4—41no—
1877C4—41no—
1878C4—41no—
1879C4—81no—
1880C4—81no—
1881C4—81no—
1882C4—81no—
1883C4—81no—
1884C4—81no—
1885C4C2×D4211yescharacteristic
1886C4#348411yescharacteristic
1887C4#348411yescharacteristic
1888C4#353211yescharacteristic
1889C2—42no—
1890C2—42no—
1891C2—81no—
1892C2—81no—
1893C2—82no—
1894C2—82no—
1895C2—82no—
1896C2—82no—
1897C2—161no—
1898C2—161no—
1899C2#5899011yescharacteristic
1900C2#6105911yescharacteristic
1901C2#6106311yescharacteristic
1902C2#6106611yescharacteristic
1903C2#6107011yescharacteristic
1904C2#6159011yescharacteristic
1905C2#6165311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#120 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3275C2semidirect
2. C2×#3274C2semidirect
3. C2×#3006C2semidirect
4. C2×#3005C2semidirect
5. #59004C2semidirect
6. #36429C2semidirect
7. #31063C2semidirect
8. #30512C2semidirect
9. #30447C2semidirect
10. #30446C2semidirect
11. #25794C2semidirect
12. #25793C2semidirect
13. #25765C2semidirect
14. #25159C2semidirect
15. #25155C2semidirect
16. #25135C2semidirect
17. #25132C2semidirect
18. #25106C2semidirect
19. #25097C2semidirect
20. #24455C2semidirect
21. #24443C2semidirect
22. #24388C2semidirect
23. #24384C2semidirect
24. #24371C2semidirect
25. #24368C2semidirect
26. #23869C2semidirect
27. #23861C2semidirect
28. #23860C2semidirect
29. #22885C2semidirect
30. #22883C2semidirect
31. #22852C2semidirect
32. C23×#41C22semidirect
33. C22×#137C22semidirect
36. C22×AGL(1,ℤ/8)C22semidirect
37. C22×AGL(1,ℤ/8)C22semidirect
39. C2×#550C22semidirect
40. C2×#548C22semidirect
42. C2×D42C22semidirect
47. C2×#496C22semidirect
48. C2×#495C22semidirect
49. C2×#493C22semidirect
50. C2×#470C22semidirect
52. C2×#469C22semidirect
53. C2×#469C22semidirect
54. C2×#469C22semidirect
55. C2×#468C22semidirect
56. C2×#464C22semidirect
57. C2×#464C22semidirect
58. C2×#460C22semidirect
59. C2×#463C22semidirect
60. C2×#459C22semidirect
63. C2×#452C22semidirect
64. C2×#452C22semidirect
65. C2×#452C22semidirect
66. C2×#452C22semidirect
67. C2×#452C22semidirect
72. C2×#449C22semidirect
73. C2×#449C22semidirect
74. C2×#449C22semidirect
75. C2×#449C22semidirect
76. C2×#449C22semidirect
77. C2×#449C22semidirect
79. C2×#448C22semidirect
80. C2×#450C22semidirect
82. C2×#447C22semidirect
83. C2×#447C22semidirect
84. C2×#447C22semidirect
85. C2×#447C22semidirect
86. C2×C4×SD16C22semidirect
87. C2×C4×SD16C22semidirect
88. C2×#436C22semidirect
89. C2×#436C22semidirect
90. C2×#417C22semidirect
91. C2×#417C22semidirect
92. C2×#419C22semidirect
93. C2×#418C22semidirect
94. C2×#407C22semidirect
95. C2×#407C22semidirect
97. #2847C22semidirect
100. #2540C22semidirect
102. #2435C22semidirect
104. #2433C22semidirect
108. #2431C22semidirect
109. #2431C22semidirect
110. #2428C22semidirect
111. #2427C22semidirect
114. #2417C22semidirect
118. #2408C22semidirect
119. #2408C22semidirect
123. #2407C22semidirect
126. #2361C22semidirect
127. #2341C22semidirect
128. #2341C22semidirect
129. Q8×C22⋊C4C22semidirect
133. #2065C22semidirect
134. #2065C22semidirect
135. #2056C22semidirect
136. #2055C22semidirect
137. #2054C22semidirect
138. #2054C22semidirect
139. #2042C22semidirect
140. #2041C22semidirect
141. #2035C22semidirect
142. #2035C22semidirect
143. #2034C22semidirect
144. #2034C22semidirect
145. #2033C22semidirect
146. #2033C22semidirect
147. #2015C22semidirect
148. #2014C22semidirect
149. #2014C22semidirect
150. #2012C22semidirect
151. #2012C22semidirect
152. #2012C22semidirect
153. #2012C22semidirect
154. #2011C22semidirect
155. #2011C22semidirect
156. #2011C22semidirect
157. #2000C22semidirect
158. #2000C22semidirect
159. #2000C22semidirect
160. #2000C22semidirect
161. #1999C22semidirect
162. #1999C22semidirect
163. #1999C22semidirect
164. #1999C22semidirect
165. #1982C22semidirect
166. #1973C22semidirect
167. #1972C22semidirect
168. #1970C22semidirect
169. #1968C22semidirect
170. #1955C22semidirect
171. #1934C22semidirect
172. #1933C22semidirect
173. #1927C22semidirect
174. #1926C22semidirect
175. #1923C22semidirect
176. #1923C22semidirect
178. #1895C22semidirect
179. #1895C22semidirect
180. #1895C22semidirect
181. #1894C22semidirect
182. #1880C22semidirect
183. #1880C22semidirect
184. #1880C22semidirect
185. #1879C22semidirect
186. #1879C22semidirect
187. #1879C22semidirect
188. #1878C22semidirect
189. #1877C22semidirect
190. #1875C22semidirect
191. #1874C22semidirect
192. #1870C22semidirect
193. #1870C22semidirect
194. #1870C22semidirect
195. #1865C22semidirect
196. #1863C22semidirect
197. #1854C22semidirect
198. #1853C22semidirect
199. #1851C22semidirect
200. #1851C22semidirect
201. #1788C22semidirect
202. #1788C22semidirect
203. #1786C22semidirect
204. #1763C22semidirect
205. #1753C22semidirect
206. #1753C22semidirect
379. #449D4semidirect
381. #448D4semidirect
620. C22×Q8C2×D4semidirect
750. C2×SD16C2×D4semidirect
777. C2×D8C2×D4semidirect
997. #103C2×D4semidirect
998. #103C2×D4semidirect
999. #103C2×D4semidirect
1020. #102C2×D4semidirect
1031. C22⋊C8C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32752
C2×#32742
C2×#30062
C2×#30052
#590042
#364292
#310632
#305122
#304472
#304462
#257942
#257932
#257652
#251592
#251552
#251352
#251322
#251062
#250972
#244552
#244432
#243882
#243842
#243712
#243682
#238692
#238612
#238602
#228852
#228832
#228522