Finite Group Databasebeta

← #7514211

Subgroups — #7514211

Order 512.

3679 conjugacy classes of subgroups.

The subgroup lattice has 1936 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D4×SD16C211yesmaximal, characteristic, complemented
2C2×#3265C211yesmaximal, characteristic, complemented
3C2×#3006C211yesmaximal, characteristic, complemented
4C22×#449C211yesmaximal, characteristic, complemented
5#58997C211yesmaximal, characteristic, complemented
6#36428C211yesmaximal, characteristic, complemented
7#31063C211yesmaximal, characteristic, complemented
8#30505C211yesmaximal, characteristic, complemented
9#30471C211yesmaximal, characteristic, complemented
10#30454C211yesmaximal, characteristic, complemented
11#25791C211yesmaximal, characteristic, complemented
12#25788C211yesmaximal, characteristic, complemented
13#25768C211yesmaximal, characteristic, complemented
14#25179C211yesmaximal, characteristic, complemented
15#25159C211yesmaximal, characteristic, complemented
16#25123C211yesmaximal, characteristic, complemented
17#25108C211yesmaximal, characteristic, complemented
18#25094C211yesmaximal, characteristic, complemented
19#25088C211yesmaximal, characteristic, complemented
20#24441C211yesmaximal, characteristic, complemented
21#24429C211yesmaximal, characteristic, complemented
22#24385C211yesmaximal, characteristic, complemented
23#24379C211yesmaximal, characteristic, complemented
24#24370C211yesmaximal, characteristic, complemented
25#24356C211yesmaximal, characteristic, complemented
26#23860C211yesmaximal, characteristic, complemented
27#23858C211yesmaximal, characteristic, complemented
28#23848C211yesmaximal, characteristic, complemented
29#22883C211yesmaximal, characteristic, complemented
30#22855C211yesmaximal, characteristic, complemented
31#22846C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic, complemented
33C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C23×SD16C2211yescharacteristic, complemented
36C23×SD16C2211yescharacteristic, complemented
37C23×D8C2211yescharacteristic, complemented
38C2×D4×Q8C2211yescharacteristic, complemented
39C2×#548C2211yescharacteristic, complemented
40C2×#548C2211yescharacteristic, complemented
41C2×D42—21no—
42C2×D42C2211yescharacteristic
43C2×D42C2211yescharacteristic, complemented
44C22×#121C2211yescharacteristic
45C22×#121C2211yescharacteristic
46D4×SD16—28no—
47#3265—28no—
48C2×#496C2211yescharacteristic, complemented
49C2×#496C2211yescharacteristic, complemented
50C2×#492C2211yescharacteristic, complemented
51C2×#468C2211yescharacteristic, complemented
52C2×#468C2211yescharacteristic, complemented
53C2×#466C2211yescharacteristic, complemented
54C2×#465C2211yescharacteristic
55C2×#465C2211yescharacteristic, complemented
56C2×#465C2211yescharacteristic, complemented
57C2×#460C2211yescharacteristic, complemented
58C2×#460C2211yescharacteristic, complemented
59C2×#460C2211yescharacteristic, complemented
60C2×#463C2211yescharacteristic, complemented
61C2×#461C2211yescharacteristic, complemented
62#3006—28no—
63C2×#449—28no—
64C2×#449C2211yescharacteristic
65C2×#449C2211yescharacteristic
66C2×#449C2211yescharacteristic, complemented
67C2×#449C2211yescharacteristic, complemented
68C2×#449C2211yescharacteristic, complemented
69C2×#449C2211yescharacteristic, complemented
70C2×#449C2211yescharacteristic, complemented
71C2×#449C2211yescharacteristic, complemented
72C2×#449C2211yescharacteristic, complemented
73C2×#449C2211yescharacteristic, complemented
74C2×#449C2211yescharacteristic, complemented
75C2×#449C2211yescharacteristic, complemented
76C2×#448C2211yescharacteristic
77C2×#448C2211yescharacteristic, complemented
78C2×#448C2211yescharacteristic, complemented
79C2×#448C2211yescharacteristic, complemented
80C2×#450C2211yescharacteristic, complemented
81C2×#450C2211yescharacteristic, complemented
82C2×#450C2211yescharacteristic, complemented
83C2×#447C2211yescharacteristic
84C2×#447C2211yescharacteristic, complemented
85C2×#447C2211yescharacteristic, complemented
86C2×#447C2211yescharacteristic, complemented
87C2×#440C2211yescharacteristic, complemented
88C2×C4×SD16C2211yescharacteristic, complemented
89C2×#435C2211yescharacteristic, complemented
90C2×C8×D4C2211yescharacteristic, complemented
91C2×#417C2211yescharacteristic, complemented
92C2×#417C2211yescharacteristic, complemented
93C22×#103C2211yescharacteristic, complemented
94C22×#102C2211yescharacteristic, complemented
95C2×#407C2211yescharacteristic, complemented
96C22×C22⋊C8C2211yescharacteristic, complemented
97#2848—21no—
98#2848C2211yescharacteristic, complemented
99#2675—21no—
100#2669—21no—
101#2541C2211yescharacteristic, complemented
102#2435—21no—
103#2435C2211yescharacteristic, complemented
104#2433C2211yescharacteristic
105#2433C2211yescharacteristic, complemented
106#2432—21no—
107#2432—21no—
108#2432C2211yescharacteristic, complemented
109#2432C2211yescharacteristic, complemented
110#2428C2211yescharacteristic, complemented
111#2428C2211yescharacteristic, complemented
112#2424—21no—
113#2424—21no—
114#2416C2211yescharacteristic
115#2416C2211yescharacteristic, complemented
116#2410—21no—
117#2410—21no—
118#2408—21no—
119#2408C2211yescharacteristic, complemented
120#2408C2211yescharacteristic, complemented
121#2407—21no—
122#2407—21no—
123#2407C2211yescharacteristic, complemented
124#2407C2211yescharacteristic, complemented
125#2403—21no—
126#2361C2211yescharacteristic
127#2361C2211yescharacteristic, complemented
128#2341C2211yescharacteristic, complemented
129#2341C2211yescharacteristic, complemented
130Q8×C22⋊C4C2211yescharacteristic, complemented
131C4×#120—21no—
132C4×#120C2211yescharacteristic
133#2067C2211yescharacteristic, complemented
134#2065C2211yescharacteristic, complemented
135#2055C2211yescharacteristic, complemented
136#2055C2211yescharacteristic, complemented
137#2054C2211yescharacteristic, complemented
138#2054C2211yescharacteristic, complemented
139#2043C2211yescharacteristic, complemented
140#2042C2211yescharacteristic, complemented
141#2035C2211yescharacteristic, complemented
142#2034C2211yescharacteristic, complemented
143#2034C2211yescharacteristic, complemented
144#2033C2211yescharacteristic, complemented
145#2033C2211yescharacteristic, complemented
146#2033C2211yescharacteristic, complemented
147#2014C2211yescharacteristic, complemented
148#2014C2211yescharacteristic, complemented
149#2013C2211yescharacteristic, complemented
150#2012C2211yescharacteristic, complemented
151#2012C2211yescharacteristic, complemented
152#2012C2211yescharacteristic, complemented
153#2011C2211yescharacteristic, complemented
154#2011C2211yescharacteristic, complemented
155#2011C2211yescharacteristic, complemented
156#2011C2211yescharacteristic, complemented
157#2000C2211yescharacteristic, complemented
158#2000C2211yescharacteristic, complemented
159#2000C2211yescharacteristic, complemented
160#2000C2211yescharacteristic, complemented
161#2000C2211yescharacteristic, complemented
162#1999C2211yescharacteristic, complemented
163#1999C2211yescharacteristic, complemented
164#1999C2211yescharacteristic, complemented
165#1983C2211yescharacteristic, complemented
166#1973C2211yescharacteristic, complemented
167#1972C2211yescharacteristic, complemented
168#1972C2211yescharacteristic, complemented
169#1970C2211yescharacteristic, complemented
170#1955C2211yescharacteristic, complemented
171#1935C2211yescharacteristic, complemented
172#1934C2211yescharacteristic, complemented
173#1928C2211yescharacteristic, complemented
174#1926C2211yescharacteristic, complemented
175#1924C2211yescharacteristic, complemented
176#1923C2211yescharacteristic, complemented
177#1895C2211yescharacteristic, complemented
178#1895C2211yescharacteristic, complemented
179#1893C2211yescharacteristic
180#1893C2211yescharacteristic, complemented
181#1893C2211yescharacteristic, complemented
182#1880C2211yescharacteristic, complemented
183#1880C2211yescharacteristic, complemented
184#1880C2211yescharacteristic, complemented
185#1880C2211yescharacteristic, complemented
186#1879C2211yescharacteristic, complemented
187#1879C2211yescharacteristic, complemented
188#1879C2211yescharacteristic, complemented
189#1877C2211yescharacteristic, complemented
190#1872C2211yescharacteristic, complemented
191#1872C2211yescharacteristic, complemented
192#1870C2211yescharacteristic, complemented
193#1869C2211yescharacteristic, complemented
194#1869C2211yescharacteristic, complemented
195#1865C2211yescharacteristic, complemented
196#1863C2211yescharacteristic, complemented
197#1853C2211yescharacteristic, complemented
198#1852C2211yescharacteristic, complemented
199#1851C2211yescharacteristic, complemented
200#1850C2211yescharacteristic, complemented
201#1787C2211yescharacteristic, complemented
202#1786C2211yescharacteristic, complemented
203#1786C2211yescharacteristic, complemented
204#1763C2211yescharacteristic, complemented
205#1753C2211yescharacteristic, complemented
206#1752C2211yescharacteristic, 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
219C23×Q8C2311yescharacteristic
220C23×Q8C2311yescharacteristic
221C23×D4—21no—
222C23×D4—21no—
223C23×D4—21no—
224C23×D4—21no—
225C23×D4—21no—
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C24×C4—21no—
231C24×C4C2311yescharacteristic
232C2×AGL(1,ℤ/8)—24no—
233C2×AGL(1,ℤ/8)—24no—
234C2×AGL(1,ℤ/8)—24no—
235C2×AGL(1,ℤ/8)—42no—
236C2×AGL(1,ℤ/8)—42no—
237C2×AGL(1,ℤ/8)—42no—
238C22×SD16—24no—
239C22×SD16—24no—
240C22×SD16—24no—
241C22×SD16—24no—
242C22×SD16—42no—
243C22×SD16—42no—
244C22×SD16C2311yescharacteristic
245C22×SD16C2311yescharacteristic
246C22×SD16C2311yescharacteristic
247C22×SD16C2311yescharacteristic
248C22×SD16C2311yescharacteristic
249C22×SD16C2311yescharacteristic
250C22×SD16C2311yescharacteristic
251C22×SD16C2311yescharacteristic
252C22×SD16C2311yescharacteristic
253C22×SD16C2311yescharacteristic
254C22×SD16C2311yescharacteristic
255C22×SD16C2311yescharacteristic
256C22×D8—24no—
257C22×D8—42no—
258C22×D8—42no—
259C22×D8C2311yescharacteristic
260C22×D8C2311yescharacteristic
261C22×D8C2311yescharacteristic
262C22×D8C2311yescharacteristic
263C22×D8C2311yescharacteristic
264C22×D8C2311yescharacteristic
265C22×D8C2311yescharacteristic
266C22×D8C2311yescharacteristic
267C22×M16C2311yescharacteristic
268C22×M16C2311yescharacteristic
269C23×C8C2311yescharacteristic
270C23×C8C2311yescharacteristic
271C23×C8C2311yescharacteristic
272D4×Q8—24no—
273D4×Q8—42no—
274#548—24no—
275#548—42no—
276#548—42no—
277#548—42no—
278D42—24no—
279D42—24no—
280D42—42no—
281D42—42no—
282D42—48no—
283C2×C4⋊Q8—21no—
284C2×C4⋊Q8C2311yescharacteristic
285C2×#127—21no—
286C2×#127C2311yescharacteristic
287C2×#127C2311yescharacteristic
288C2×#127C2311yescharacteristic
289C2×#124—21no—
290C2×#124—21no—
291C2×#124C2311yescharacteristic
292C2×#124C2311yescharacteristic
293C2×C22⋊Q8—21no—
294C2×C22⋊Q8—21no—
295C2×C22⋊Q8—21no—
296C2×C22⋊Q8—21no—
297C2×C22⋊Q8C2311yescharacteristic
298C2×C22⋊Q8C2311yescharacteristic
299C2×C22⋊Q8C2311yescharacteristic
300C2×C22⋊Q8C2311yescharacteristic
301C2×#121—21no—
302C2×#121—21no—
303C2×#121—21no—
304C2×#121—21no—
305C2×#121—21no—
306C2×#121—21no—
307C2×#121—21no—
308C2×#121—21no—
309C2×#121—21no—
310C2×#121—21no—
311C2×#121—21no—
312C2×#121—21no—
313C2×#121—24no—
314C2×#121—24no—
315C2×#121—42no—
316C2×#121—42no—
317C2×#121C2311yescharacteristic
318C2×#121C2311yescharacteristic
319C2×#121C2311yescharacteristic
320C2×#121C2311yescharacteristic
321C2×#121C2311yescharacteristic
322C2×#121C2311yescharacteristic
323C2×#121C2311yescharacteristic
324C2×#121C2311yescharacteristic
325C2×#121C2311yescharacteristic
326C2×#121C2311yescharacteristic
327C2×#121C2311yescharacteristic
328C2×#121C2311yescharacteristic
329C2×#120—21no—
330C2×#120—21no—
331C2×#120—21no—
332C2×#120—21no—
333C2×#120—21no—
334C2×#120—21no—
335C2×#120—21no—
336C2×#120—21no—
337C2×#120—21no—
338C2×#120—21no—
339C2×#120D411yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×D4—21no—
344C2×C4×D4—21no—
345C2×C4×D4—21no—
346C2×C4×D4—21no—
347C2×C4×D4—21no—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C22×C4⋊C4C2311yescharacteristic
354C22×C4⋊C4C2311yescharacteristic
355C22×C22⋊C4—21no—
356C22×C22⋊C4—21no—
357#496—24no—
358#496—42no—
359#492—24no—
360#468—24no—
361#468—42no—
362#466—24no—
363#465—24no—
364#465—24no—
365#465—42no—
366#463—24no—
367#461—24no—
368#460—24no—
369#460—24no—
370#460—42no—
371#450—24no—
372#450—24no—
373#450—24no—
374#449—24no—
375#449—24no—
376#449—24no—
377#449—24no—
378#449—24no—
379#449—24no—
380#449—24no—
381#449—24no—
382#449—24no—
383#449—24no—
384#449—24no—
385#449D418yescomplemented
386#448—24no—
387#448—24no—
388#448—24no—
389#448D418yescomplemented
390#447—24no—
391#447—24no—
392#447—24no—
393#447—42no—
394#440—24no—
395C4×SD16—24no—
396#435—24no—
397C8×D4—24no—
398C2×#107C2311yescharacteristic
399C2×#107C2311yescharacteristic
400C2×#106C2311yescharacteristic
401C2×#106C2311yescharacteristic
402C2×C4⋊C8C2311yescharacteristic
403C2×C4⋊C8C2311yescharacteristic
404C2×C4⋊C8C2311yescharacteristic
405#417—24no—
406#417—24no—
407C2×#103—24no—
408C2×#103C2311yescharacteristic
409C2×#103C2311yescharacteristic
410C2×#103C2311yescharacteristic
411C2×#103C2311yescharacteristic
412C2×#103C2311yescharacteristic
413C2×#103C2311yescharacteristic
414C2×#103C2311yescharacteristic
415C2×#103C2311yescharacteristic
416C2×#103C2311yescharacteristic
417C2×#103C2311yescharacteristic
418C2×#103C2311yescharacteristic
419C2×#103C2311yescharacteristic
420C2×#102—24no—
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
434C2×#102C2311yescharacteristic
435C2×#102C2311yescharacteristic
436C2×#102C2311yescharacteristic
437C2×#102C2311yescharacteristic
438C2×#102C2311yescharacteristic
439C2×#102C2311yescharacteristic
440C2×#102C2311yescharacteristic
441#407—24no—
442C2×C22⋊C8—24no—
443C2×C22⋊C8C2311yescharacteristic
444C2×C22⋊C8C2311yescharacteristic
445C2×C22⋊C8C2311yescharacteristic
446C2×C22⋊C8C2311yescharacteristic
447C2×C22⋊C8C2311yescharacteristic
448C2×C22⋊C8C2311yescharacteristic
449C2×C22⋊C8C2311yescharacteristic
450C2×C22⋊C8C2311yescharacteristic
451C2×C22⋊C8C2311yescharacteristic
452C2×C22⋊C8C2311yescharacteristic
453C2×C22⋊C8C2311yescharacteristic
454C2×#97C2311yescharacteristic
455C2×#97C2311yescharacteristic
456C2×C4×C8C2311yescharacteristic
457#396—21no—
458#396—21no—
459#394—21no—
460#394—21no—
461#394—21no—
462#394—21no—
463#394—21no—
464#394—21no—
465#394—21no—
466#394—21no—
467#394—21no—
468#394—21no—
469#394—21no—
470#394—21no—
471#394—21no—
472#394—21no—
473#392—21no—
474#392—21no—
475#392—21no—
476#392—21no—
477#392—21no—
478#392—21no—
479#392—21no—
480#392—21no—
481#392—21no—
482#392—21no—
483#392—21no—
484#392—21no—
485#391—21no—
486#391—21no—
487#391C2311yescharacteristic
488#391C2311yescharacteristic
489#390—21no—
490#390—21no—
491#390—21no—
492#390—21no—
493#390—21no—
494#390C2311yescharacteristic
495#390C2311yescharacteristic
496#390C2311yescharacteristic
497#390C2311yescharacteristic
498#390C2311yescharacteristic
499#390C2311yescharacteristic
500#390C2311yescharacteristic
501#390C2311yescharacteristic
502#389C2311yescharacteristic
503#389C2311yescharacteristic
504#388—21no—
505#388—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#386D411yescharacteristic
515#386D411yescharacteristic
516#386D411yescharacteristic
517#385—21no—
518#385—21no—
519#385—21no—
520#385—21no—
521#385—21no—
522#385—21no—
523#385—21no—
524#385—21no—
525#385—21no—
526#385—21no—
527#385—21no—
528#385D411yescharacteristic
529#385D411yescharacteristic
530#385D411yescharacteristic
531#380—21no—
532#380—21no—
533#380—21no—
534#380C2311yescharacteristic
535#380C2311yescharacteristic
536#380C2311yescharacteristic
537#380C2311yescharacteristic
538#379—21no—
539#379—21no—
540#379—21no—
541#379—21no—
542#379—21no—
543#379D411yescharacteristic
544C4×C4⋊C4C2311yescharacteristic
545C4×C22⋊C4—21no—
546C4×C22⋊C4—21no—
547C4×C22⋊C4—21no—
548C4×C22⋊C4C2311yescharacteristic
549C4×C22⋊C4C2311yescharacteristic
550C4×C22⋊C4C2311yescharacteristic
551#340C2311yescharacteristic
552#340C2311yescharacteristic
553#340C2311yescharacteristic
554#340C2311yescharacteristic
555#340C2311yescharacteristic
556#340C2311yescharacteristic
557#340C2311yescharacteristic
558#340C2311yescharacteristic
559#336C2311yescharacteristic
560#336C2311yescharacteristic
561#336C2311yescharacteristic
562#336C2311yescharacteristic
563#336C2311yescharacteristic
564#336C2311yescharacteristic
565C25—21no—
566C25—21no—
567C25—21no—
568C25—21no—
569C25C2×D411yescharacteristic
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—44no—
584C2×#41—41no—
585C2×#41—41no—
586C2×#41—41no—
587C2×#41—41no—
588C2×#41—41no—
589C2×#41—41no—
590C2×#41—41no—
591C2×#41—41no—
592C2×#41—41no—
593C2×#41—41no—
594C2×#41—44no—
595C2×#41—44no—
596C2×#41—44no—
597C2×#41—44no—
598C2×#41—44no—
599C2×#41—416no—
600C2×#41—416no—
601C2×#41—416no—
602C2×#41—416no—
603C2×#41C2×D414yescomplemented
604C22×Q8—21no—
605C22×Q8—21no—
606C22×Q8—22no—
607C22×Q8—22no—
608C22×Q8—22no—
609C22×Q8—22no—
610C22×Q8—22no—
611C22×Q8—22no—
612C22×Q8—41no—
613C22×Q8—41no—
614C22×Q8—41no—
615C22×Q8—41no—
616C22×Q8—41no—
617C22×Q8C2×D414yescomplemented
618C22×Q8C2411yescharacteristic
619C22×Q8C2411yescharacteristic
620C22×Q8C2411yescharacteristic
621C22×D4—22no—
622C22×D4—22no—
623C22×D4—21no—
624C22×D4—21no—
625C22×D4—21no—
626C22×D4—21no—
627C22×D4—22no—
628C22×D4—22no—
629C22×D4—22no—
630C22×D4—22no—
631C22×D4—21no—
632C22×D4—21no—
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—22no—
644C22×D4—22no—
645C22×D4—22no—
646C22×D4—21no—
647C22×D4—21no—
648C22×D4—21no—
649C22×D4—21no—
650C22×D4—21no—
651C22×D4—21no—
652C22×D4—21no—
653C22×D4—21no—
654C22×D4—21no—
655C22×D4—21no—
656C22×D4—22no—
657C22×D4—22no—
658C22×D4—22no—
659C22×D4—41no—
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—41no—
670C22×D4—41no—
671C22×D4—44no—
672C22×D4—44no—
673C22×D4—44no—
674C22×D4—44no—
675C22×D4—44no—
676C22×D4—44no—
677C22×D4—44no—
678C22×D4—44no—
679C22×D4—44no—
680C22×D4—44no—
681C22×D4—44no—
682C22×D4—82no—
683C22×D4—82no—
684C22×D4—82no—
685C22×D4—82no—
686C22×D4C2×D411yescharacteristic
687C22×D4C2×D411yescharacteristic
688C22×D4C2×D411yescharacteristic
689C22×D4C2411yescharacteristic
690C22×D4C2411yescharacteristic
691C22×D4C2411yescharacteristic
692C22×D4C2411yescharacteristic
693C22×D4C2411yescharacteristic
694C22×D4C2411yescharacteristic
695C23×C4—21no—
696C23×C4—21no—
697C23×C4—21no—
698C23×C4—22no—
699C23×C4—22no—
700C23×C4—22no—
701C23×C4—22no—
702C23×C4—21no—
703C23×C4—21no—
704C23×C4—21no—
705C23×C4—21no—
706C23×C4—21no—
707C23×C4—21no—
708C23×C4—21no—
709C23×C4—41no—
710C23×C4—41no—
711C23×C4—44no—
712C23×C4—44no—
713C23×C4—44no—
714C23×C4C2×D411yescharacteristic
715C23×C4C2×D411yescharacteristic
716C23×C4C2×D411yescharacteristic
717C23×C4C2411yescharacteristic
718C23×C4C2411yescharacteristic
719C23×C4C2411yescharacteristic
720C23×C4C2411yescharacteristic
721AGL(1,ℤ/8)—416no—
722AGL(1,ℤ/8)—416no—
723C2×SD16—22no—
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—22no—
739C2×SD16—22no—
740C2×SD16—22no—
741C2×SD16—22no—
742C2×SD16—22no—
743C2×SD16—22no—
744C2×SD16—41no—
745C2×SD16—41no—
746C2×SD16—41no—
747C2×SD16—41no—
748C2×SD16—41no—
749C2×SD16—41no—
750C2×SD16—41no—
751C2×SD16—41no—
752C2×SD16—41no—
753C2×SD16—41no—
754C2×SD16—41no—
755C2×SD16—41no—
756C2×SD16—416no—
757C2×SD16—416no—
758C2×SD16C2×D414yescomplemented
759C2×SD16C2×D414yescomplemented
760C2×SD16C2×D414yescomplemented
761C2×D8—22no—
762C2×D8—22no—
763C2×D8—22no—
764C2×D8—22no—
765C2×D8—22no—
766C2×D8—22no—
767C2×D8—22no—
768C2×D8—22no—
769C2×D8—22no—
770C2×D8—22no—
771C2×D8—22no—
772C2×D8—22no—
773C2×D8—22no—
774C2×D8—41no—
775C2×D8—41no—
776C2×D8—41no—
777C2×D8—41no—
778C2×D8—41no—
779C2×D8—41no—
780C2×D8—41no—
781C2×D8—41no—
782C2×D8—41no—
783C2×D8—41no—
784C2×D8—416no—
785C2×D8C2×D414yescomplemented
786C2×M16—22no—
787C2×M16—22no—
788C2×M16—22no—
789C2×M16—22no—
790C2×M16—41no—
791C2×M16—41no—
792C22×C8—22no—
793C22×C8—22no—
794C22×C8—22no—
795C22×C8—22no—
796C22×C8—22no—
797C22×C8—22no—
798C22×C8—41no—
799C22×C8—41no—
800C22×C8—41no—
801C22×C8C2411yescharacteristic
802C22×C8C2411yescharacteristic
803C22×C8C2411yescharacteristic
804C22×C8C2411yescharacteristic
805C22×C8C2411yescharacteristic
806C22×C8C2411yescharacteristic
807C22×C8C2411yescharacteristic
808C22×C8C2411yescharacteristic
809C4⋊Q8—22no—
810C4⋊Q8—41no—
811C4⋊Q8—44no—
812#127—22no—
813#127—22no—
814#127—41no—
815#127—41no—
816#127—41no—
817#127—41no—
818#127—44no—
819#124—22no—
820#124—22no—
821#124—41no—
822#124—41no—
823#124—44no—
824#124—44no—
825C22⋊Q8—22no—
826C22⋊Q8—22no—
827C22⋊Q8—22no—
828C22⋊Q8—22no—
829C22⋊Q8—22no—
830C22⋊Q8—44no—
831C22⋊Q8—44no—
832C22⋊Q8—41no—
833C22⋊Q8—41no—
834C22⋊Q8—41no—
835C22⋊Q8—44no—
836C22⋊Q8—44no—
837#121—22no—
838#121—22no—
839#121—22no—
840#121—22no—
841#121—22no—
842#121—22no—
843#121—22no—
844#121—22no—
845#121—22no—
846#121—22no—
847#121—22no—
848#121—22no—
849#121—22no—
850#121—22no—
851#121—44no—
852#121—44no—
853#121—44no—
854#121—44no—
855#121—44no—
856#121—44no—
857#121—41no—
858#121—41no—
859#121—41no—
860#121—41no—
861#121—41no—
862#121—41no—
863#121—41no—
864#121—41no—
865#121—44no—
866#121—44no—
867#121—44no—
868#121—44no—
869#121—44no—
870#121—44no—
871#121C2×D414yes—
872#121C2×D414yes—
873#120—24no—
874#120—44no—
875#120—44no—
876#120—44no—
877#120—44no—
878#120—44no—
879#120—44no—
880#120—44no—
881#120—44no—
882#120—82no—
883#120—82no—
884C4×Q8—22no—
885C4×Q8—22no—
886C4×Q8—22no—
887C4×Q8—41no—
888C4×Q8—41no—
889C4×Q8—41no—
890C4×D4—22no—
891C4×D4—22no—
892C4×D4—22no—
893C4×D4—22no—
894C4×D4—22no—
895C4×D4—22no—
896C4×D4—41no—
897C4×D4—41no—
898C4×D4—41no—
899C4×D4—41no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—44no—
903C4×D4—44no—
904C4×D4—44no—
905C2×C4⋊C4—22no—
906C2×C4⋊C4—22no—
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⋊C4—21no—
918C2×C4⋊C4—21no—
919C2×C4⋊C4—21no—
920C2×C4⋊C4—41no—
921C2×C4⋊C4—41no—
922C2×C4⋊C4C2×D411yescharacteristic
923C2×C4⋊C4C2×D411yescharacteristic
924C2×C4⋊C4C2×D411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
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—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—44no—
975C2×C22⋊C4—44no—
976C2×C22⋊C4C2×D411yescharacteristic
977C2×C22⋊C4C2×D411yescharacteristic
978C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
989C2×C42—21no—
990C2×C42—21no—
991C2×C42—21no—
992C2×C42C2411yescharacteristic
993C2×C42C2411yescharacteristic
994C2×C42C2411yescharacteristic
995#107—22no—
996#107—41no—
997#106—22no—
998#106—41no—
999C4⋊C8—22no—
1000C4⋊C8—22no—
1001C4⋊C8—41no—
1002#103—22no—
1003#103—22no—
1004#103—22no—
1005#103—22no—
1006#103—22no—
1007#103—22no—
1008#103—22no—
1009#103—41no—
1010#103—41no—
1011#103C2×D414yescomplemented
1012#103C2×D414yescomplemented
1013#103C2×D414yescomplemented
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—22no—
1027#102—41no—
1028#102—41no—
1029#102—41no—
1030#102—41no—
1031#102—41no—
1032#102—41no—
1033#102C2×D414yescomplemented
1034C22⋊C8—22no—
1035C22⋊C8—22no—
1036C22⋊C8—22no—
1037C22⋊C8—22no—
1038C22⋊C8—22no—
1039C22⋊C8—22no—
1040C22⋊C8—22no—
1041C22⋊C8—22no—
1042C22⋊C8—41no—
1043C22⋊C8C2×D414yescomplemented
1044C22⋊C8C2×D414yescomplemented
1045#97—22no—
1046#97—41no—
1047C4×C8—22no—
1048#95—21no—
1049#95—21no—
1050#95—21no—
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#95C2×D411yescharacteristic
1060#95C2×D411yescharacteristic
1061#95C2×D411yescharacteristic
1062#95C2×D411yescharacteristic
1063#95C2×D411yescharacteristic
1064#95C2×D411yescharacteristic
1065C24—22no—
1066C24—21no—
1067C24—21no—
1068C24—21no—
1069C24—21no—
1070C24—22no—
1071C24—22no—
1072C24—22no—
1073C24—21no—
1074C24—21no—
1075C24—41no—
1076C24—41no—
1077C24—41no—
1078C24—42no—
1079C24—42no—
1080C24—42no—
1081C24—42no—
1082C24—42no—
1083C24—42no—
1084C24—42no—
1085C24—42no—
1086C24—42no—
1087C24—42no—
1088C24—42no—
1089C24—42no—
1090C24—42no—
1091C24—42no—
1092C24—42no—
1093C24—42no—
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
1109C24C22×D411yescharacteristic
1110#41—28no—
1111#41—28no—
1112#41—44no—
1113#41—44no—
1114#41—44no—
1115#41—44no—
1116#41—44no—
1117#41—44no—
1118#41—44no—
1119#41—44no—
1120#41—44no—
1121#41—44no—
1122#41—44no—
1123#41—44no—
1124#41—432no—
1125#41—432no—
1126#41—44no—
1127#41—44no—
1128C2×Q8—24no—
1129C2×Q8—21no—
1130C2×Q8—21no—
1131C2×Q8—21no—
1132C2×Q8—21no—
1133C2×Q8—28no—
1134C2×Q8—21no—
1135C2×Q8—21no—
1136C2×Q8—21no—
1137C2×Q8—21no—
1138C2×Q8—21no—
1139C2×Q8—21no—
1140C2×Q8—21no—
1141C2×Q8—21no—
1142C2×Q8—21no—
1143C2×Q8—21no—
1144C2×Q8—42no—
1145C2×Q8—42no—
1146C2×Q8—42no—
1147C2×Q8—42no—
1148C2×Q8—42no—
1149C2×Q8—44no—
1150C2×Q8—44no—
1151C2×Q8—44no—
1152C2×Q8—44no—
1153C2×Q8—82no—
1154C2×Q8—82no—
1155C2×Q8—82no—
1156C2×Q8C22×D412yes—
1157C2×Q8C22×D412yes—
1158C2×Q8C22×D412yes—
1159C2×Q8H(5,𝔽2)12yes—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—28no—
1163C2×D4—24no—
1164C2×D4—22no—
1165C2×D4—24no—
1166C2×D4—24no—
1167C2×D4—24no—
1168C2×D4—22no—
1169C2×D4—22no—
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—21no—
1200C2×D4—21no—
1201C2×D4—21no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—41no—
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—41no—
1219C2×D4—41no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
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—44no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—432no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—82no—
1267C2×D4—82no—
1268C2×D4—82no—
1269C2×D4—82no—
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—81no—
1281C2×D4—81no—
1282C2×D4—81no—
1283C2×D4—81no—
1284C2×D4—82no—
1285C2×D4—82no—
1286C2×D4—82no—
1287C2×D4—81no—
1288C2×D4—81no—
1289C2×D4—81no—
1290C2×D4—81no—
1291C2×D4—81no—
1292C2×D4—81no—
1293C2×D4—81no—
1294C2×D4—81no—
1295C2×D4—816no—
1296C2×D4—816no—
1297C2×D4—816no—
1298C2×D4—816no—
1299C2×D4AGL(1,ℤ/8)14yescomplemented
1300C2×D4C22×D412yes—
1301C2×D4C22×D412yes—
1302C2×D4C22×D412yes—
1303C2×D4H(5,𝔽2)12yes—
1304C22×C4—21no—
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—24no—
1314C22×C4—24no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—21no—
1318C22×C4—21no—
1319C22×C4—21no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—24no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—21no—
1326C22×C4—21no—
1327C22×C4—21no—
1328C22×C4—21no—
1329C22×C4—21no—
1330C22×C4—21no—
1331C22×C4—21no—
1332C22×C4—21no—
1333C22×C4—21no—
1334C22×C4—21no—
1335C22×C4—21no—
1336C22×C4—21no—
1337C22×C4—21no—
1338C22×C4—21no—
1339C22×C4—21no—
1340C22×C4—21no—
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—41no—
1344C22×C4—41no—
1345C22×C4—41no—
1346C22×C4—44no—
1347C22×C4—44no—
1348C22×C4—44no—
1349C22×C4—44no—
1350C22×C4—42no—
1351C22×C4—42no—
1352C22×C4—42no—
1353C22×C4—42no—
1354C22×C4—42no—
1355C22×C4—42no—
1356C22×C4—42no—
1357C22×C4—42no—
1358C22×C4—42no—
1359C22×C4—42no—
1360C22×C4—42no—
1361C22×C4—42no—
1362C22×C4—42no—
1363C22×C4—42no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—42no—
1367C22×C4—42no—
1368C22×C4—42no—
1369C22×C4—432no—
1370C22×C4—42no—
1371C22×C4—42no—
1372C22×C4—42no—
1373C22×C4—42no—
1374C22×C4—81no—
1375C22×C4—81no—
1376C22×C4—81no—
1377C22×C4—81no—
1378C22×C4C22×D411yescharacteristic
1379C22×C4C22×D411yescharacteristic
1380C22×C4C22×D411yescharacteristic
1381C22×C4C22×D411yescharacteristic
1382C22×C4C22×D411yescharacteristic
1383C22×C4C22×D411yescharacteristic
1384C22×C4C22×D411yescharacteristic
1385C22×C4C22×D411yescharacteristic
1386C22×C4C22×D411yescharacteristic
1387C22×C4C22×D412yes—
1388C22×C4C22×D412yes—
1389C22×C4C22×D411yescharacteristic
1390C22×C4H(5,𝔽2)12yes—
1391C22×C4H(5,𝔽2)12yes—
1392C22×C4C2511yescharacteristic
1393SD16—28no—
1394SD16—28no—
1395SD16—44no—
1396SD16—44no—
1397SD16—44no—
1398SD16—44no—
1399SD16—44no—
1400SD16—44no—
1401SD16—44no—
1402SD16—44no—
1403SD16—82no—
1404SD16—82no—
1405D8—44no—
1406D8—44no—
1407D8—44no—
1408D8—44no—
1409D8—44no—
1410D8—44no—
1411D8—44no—
1412D8—44no—
1413M16—44no—
1414M16—44no—
1415C2×C8—21no—
1416C2×C8—21no—
1417C2×C8—21no—
1418C2×C8—21no—
1419C2×C8—21no—
1420C2×C8—21no—
1421C2×C8—21no—
1422C2×C8—21no—
1423C2×C8—21no—
1424C2×C8—21no—
1425C2×C8—21no—
1426C2×C8—21no—
1427C2×C8—21no—
1428C2×C8—21no—
1429C2×C8—21no—
1430C2×C8—21no—
1431C2×C8—21no—
1432C2×C8—21no—
1433C2×C8—21no—
1434C2×C8—21no—
1435C2×C8—44no—
1436C2×C8—44no—
1437C2×C8—44no—
1438C2×C8C22×D412yes—
1439C2×C8C22×D412yes—
1440C2×C8C22×D412yes—
1441C2×C8C22×D412yes—
1442C4⋊C4—22no—
1443C4⋊C4—22no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—41no—
1457C4⋊C4—42no—
1458C4⋊C4—42no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—42no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—42no—
1466C4⋊C4—42no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C4⋊C4—42no—
1470C4⋊C4C22×D412yes—
1471C4⋊C4C22×D412yes—
1472C22⋊C4—22no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—81no—
1515C22⋊C4—81no—
1516C22⋊C4—81no—
1517C22⋊C4—81no—
1518C22⋊C4—81no—
1519C22⋊C4—81no—
1520C22⋊C4—81no—
1521C22⋊C4—81no—
1522C22⋊C4—81no—
1523C22⋊C4—81no—
1524C22⋊C4—81no—
1525C22⋊C4—81no—
1526C42—21no—
1527C42—21no—
1528C42—21no—
1529C42—21no—
1530C42—21no—
1531C42—21no—
1532C42—42no—
1533C42—42no—
1534C42—42no—
1535C42—42no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—22no—
1555C23—22no—
1556C23—22no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—22no—
1561C23—21no—
1562C23—21no—
1563C23—44no—
1564C23—44no—
1565C23—44no—
1566C23—48no—
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—44no—
1584C23—41no—
1585C23—41no—
1586C23—41no—
1587C23—41no—
1588C23—41no—
1589C23—41no—
1590C23—41no—
1591C23—41no—
1592C23—41no—
1593C23—41no—
1594C23—41no—
1595C23—41no—
1596C23—41no—
1597C23—41no—
1598C23—41no—
1599C23—41no—
1600C23—41no—
1601C23—41no—
1602C23—41no—
1603C23—41no—
1604C23—41no—
1605C23—41no—
1606C23—82no—
1607C23—82no—
1608C23—82no—
1609C23—84no—
1610C23—84no—
1611C23—84no—
1612C23—84no—
1613C23—84no—
1614C23—84no—
1615C23—84no—
1616C23—84no—
1617C23—84no—
1618C23—84no—
1619C23—84no—
1620C23—84no—
1621C23—84no—
1622C23—84no—
1623C23—84no—
1624C23—84no—
1625C23—84no—
1626C23—162no—
1627C23—162no—
1628C23—162no—
1629C23—162no—
1630C23—162no—
1631C23—162no—
1632C23—162no—
1633C23—162no—
1634C23—162no—
1635C23—162no—
1636C23D4212yes—
1637C23D4212yes—
1638C23C2×AGL(1,ℤ/8)12yes—
1639C23C2×AGL(1,ℤ/8)12yes—
1640C23#57712yes—
1641C23C23×D411yescharacteristic
1642Q8—22no—
1643Q8—22no—
1644Q8—22no—
1645Q8—22no—
1646Q8—22no—
1647Q8—48no—
1648Q8—41no—
1649Q8—41no—
1650Q8—41no—
1651Q8—41no—
1652Q8—41no—
1653Q8—41no—
1654Q8—84no—
1655Q8D4214yescomplemented
1656D4—28no—
1657D4—22no—
1658D4—22no—
1659D4—22no—
1660D4—22no—
1661D4—22no—
1662D4—22no—
1663D4—22no—
1664D4—22no—
1665D4—48no—
1666D4—48no—
1667D4—48no—
1668D4—44no—
1669D4—48no—
1670D4—48no—
1671D4—48no—
1672D4—48no—
1673D4—41no—
1674D4—41no—
1675D4—41no—
1676D4—41no—
1677D4—41no—
1678D4—41no—
1679D4—41no—
1680D4—41no—
1681D4—41no—
1682D4—41no—
1683D4—41no—
1684D4—41no—
1685D4—41no—
1686D4—41no—
1687D4—41no—
1688D4—41no—
1689D4—84no—
1690D4—84no—
1691D4—84no—
1692D4—82no—
1693D4—84no—
1694D4—84no—
1695D4—84no—
1696D4—84no—
1697D4—84no—
1698D4—84no—
1699D4—84no—
1700D4—84no—
1701D4—84no—
1702D4—84no—
1703D4—84no—
1704D4—84no—
1705D4—162no—
1706D4—162no—
1707D4—162no—
1708D4—162no—
1709C2×C4—21no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—22no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—44no—
1751C2×C4—48no—
1752C2×C4—44no—
1753C2×C4—44no—
1754C2×C4—48no—
1755C2×C4—48no—
1756C2×C4—48no—
1757C2×C4—48no—
1758C2×C4—41no—
1759C2×C4—41no—
1760C2×C4—41no—
1761C2×C4—41no—
1762C2×C4—41no—
1763C2×C4—41no—
1764C2×C4—41no—
1765C2×C4—41no—
1766C2×C4—41no—
1767C2×C4—41no—
1768C2×C4—41no—
1769C2×C4—41no—
1770C2×C4—41no—
1771C2×C4—41no—
1772C2×C4—41no—
1773C2×C4—41no—
1774C2×C4—41no—
1775C2×C4—41no—
1776C2×C4—41no—
1777C2×C4—41no—
1778C2×C4—41no—
1779C2×C4—41no—
1780C2×C4—41no—
1781C2×C4—41no—
1782C2×C4—41no—
1783C2×C4—41no—
1784C2×C4—41no—
1785C2×C4—41no—
1786C2×C4—41no—
1787C2×C4—41no—
1788C2×C4—41no—
1789C2×C4—41no—
1790C2×C4—84no—
1791C2×C4—84no—
1792C2×C4—84no—
1793C2×C4—84no—
1794C2×C4—84no—
1795C2×C4D4212yes—
1796C2×C4D4212yes—
1797C2×C4C2×AGL(1,ℤ/8)12yes—
1798C2×C4C23×D411yescharacteristic
1799C2×C4C23×D411yescharacteristic
1800C2×C4C2×H(5,𝔽2)11yescharacteristic
1801C2×C4C2×H(5,𝔽2)11yescharacteristic
1802C2×C4C2×H(5,𝔽2)11yescharacteristic
1803C2×C4C2×H(5,𝔽2)11yescharacteristic
1804C8—22no—
1805C8—22no—
1806C8—22no—
1807C8—22no—
1808C8—41no—
1809C8—41no—
1810C8—41no—
1811C8—41no—
1812C22—22no—
1813C22—22no—
1814C22—22no—
1815C22—22no—
1816C22—22no—
1817C22—22no—
1818C22—22no—
1819C22—22no—
1820C22—22no—
1821C22—22no—
1822C22—22no—
1823C22—22no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—42no—
1833C22—41no—
1834C22—42no—
1835C22—42no—
1836C22—41no—
1837C22—42no—
1838C22—42no—
1839C22—42no—
1840C22—41no—
1841C22—42no—
1842C22—42no—
1843C22—41no—
1844C22—42no—
1845C22—42no—
1846C22—41no—
1847C22—41no—
1848C22—42no—
1849C22—41no—
1850C22—42no—
1851C22—88no—
1852C22—816no—
1853C22—81no—
1854C22—81no—
1855C22—81no—
1856C22—81no—
1857C22—81no—
1858C22—81no—
1859C22—81no—
1860C22—81no—
1861C22—81no—
1862C22—81no—
1863C22—81no—
1864C22—81no—
1865C22—81no—
1866C22—81no—
1867C22—81no—
1868C22—81no—
1869C22—81no—
1870C22—81no—
1871C22—81no—
1872C22—81no—
1873C22—81no—
1874C22—81no—
1875C22—81no—
1876C22—81no—
1877C22—81no—
1878C22—81no—
1879C22—81no—
1880C22—81no—
1881C22—81no—
1882C22—81no—
1883C22—168no—
1884C22—168no—
1885C22—168no—
1886C22#326514yescomplemented
1887C22C2×D4211yescharacteristic
1888C22C2×D4211yescharacteristic
1889C22#348411yescharacteristic
1890C22C22×AGL(1,ℤ/8)11yescharacteristic
1891C22C2×#57711yescharacteristic
1892C22#358411yescharacteristic
1893C22#358511yescharacteristic
1894C4—22no—
1895C4—22no—
1896C4—22no—
1897C4—24no—
1898C4—42no—
1899C4—41no—
1900C4—41no—
1901C4—42no—
1902C4—41no—
1903C4—41no—
1904C4—42no—
1905C4—41no—
1906C4—41no—
1907C4—41no—
1908C4—81no—
1909C4—81no—
1910C4—81no—
1911C4—81no—
1912C4—81no—
1913C4—81no—
1914C4C2×D4211yescharacteristic
1915C4#348411yescharacteristic
1916C4#348411yescharacteristic
1917C4#353211yescharacteristic
1918C2—24no—
1919C2—42no—
1920C2—42no—
1921C2—81no—
1922C2—82no—
1923C2—82no—
1924C2—82no—
1925C2—82no—
1926C2—161no—
1927C2—161no—
1928C2#5899011yescharacteristic
1929C2C2×#326511yescharacteristic
1930C2#6105511yescharacteristic
1931C2D4×AGL(1,ℤ/8)11yescharacteristic
1932C2#6107711yescharacteristic
1933C2#6159811yescharacteristic
1934C2#6162111yescharacteristic
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×D4×SD16C2semidirect
2. C2×#3265C2semidirect
3. C2×#3006C2semidirect
4. C22×#449C2semidirect
5. #58997C2semidirect
6. #36428C2semidirect
7. #31063C2semidirect
8. #30505C2semidirect
9. #30471C2semidirect
10. #30454C2semidirect
11. #25791C2semidirect
12. #25788C2semidirect
13. #25768C2semidirect
14. #25179C2semidirect
15. #25159C2semidirect
16. #25123C2semidirect
17. #25108C2semidirect
18. #25094C2semidirect
19. #25088C2semidirect
20. #24441C2semidirect
21. #24429C2semidirect
22. #24385C2semidirect
23. #24379C2semidirect
24. #24370C2semidirect
25. #24356C2semidirect
26. #23860C2semidirect
27. #23858C2semidirect
28. #23848C2semidirect
29. #22883C2semidirect
30. #22855C2semidirect
31. #22846C2semidirect
32. C23×#41C22semidirect
33. C22×AGL(1,ℤ/8)C22semidirect
34. C22×AGL(1,ℤ/8)C22semidirect
35. C23×SD16C22semidirect
36. C23×SD16C22semidirect
37. C23×D8C22semidirect
38. C2×D4×Q8C22semidirect
39. C2×#548C22semidirect
40. C2×#548C22semidirect
43. C2×D42C22semidirect
48. C2×#496C22semidirect
49. C2×#496C22semidirect
50. C2×#492C22semidirect
51. C2×#468C22semidirect
52. C2×#468C22semidirect
53. C2×#466C22semidirect
55. C2×#465C22semidirect
56. C2×#465C22semidirect
57. C2×#460C22semidirect
58. C2×#460C22semidirect
59. C2×#460C22semidirect
60. C2×#463C22semidirect
61. C2×#461C22semidirect
66. C2×#449C22semidirect
67. C2×#449C22semidirect
68. C2×#449C22semidirect
69. C2×#449C22semidirect
70. C2×#449C22semidirect
71. C2×#449C22semidirect
72. C2×#449C22semidirect
73. C2×#449C22semidirect
74. C2×#449C22semidirect
75. C2×#449C22semidirect
77. C2×#448C22semidirect
78. C2×#448C22semidirect
79. C2×#448C22semidirect
80. C2×#450C22semidirect
81. C2×#450C22semidirect
82. C2×#450C22semidirect
84. C2×#447C22semidirect
85. C2×#447C22semidirect
86. C2×#447C22semidirect
87. C2×#440C22semidirect
88. C2×C4×SD16C22semidirect
89. C2×#435C22semidirect
90. C2×C8×D4C22semidirect
91. C2×#417C22semidirect
92. C2×#417C22semidirect
93. C22×#103C22semidirect
94. C22×#102C22semidirect
95. C2×#407C22semidirect
96. C22×C22⋊C8C22semidirect
98. #2848C22semidirect
101. #2541C22semidirect
103. #2435C22semidirect
105. #2433C22semidirect
108. #2432C22semidirect
109. #2432C22semidirect
110. #2428C22semidirect
111. #2428C22semidirect
115. #2416C22semidirect
119. #2408C22semidirect
120. #2408C22semidirect
123. #2407C22semidirect
124. #2407C22semidirect
127. #2361C22semidirect
128. #2341C22semidirect
129. #2341C22semidirect
130. Q8×C22⋊C4C22semidirect
133. #2067C22semidirect
134. #2065C22semidirect
135. #2055C22semidirect
136. #2055C22semidirect
137. #2054C22semidirect
138. #2054C22semidirect
139. #2043C22semidirect
140. #2042C22semidirect
141. #2035C22semidirect
142. #2034C22semidirect
143. #2034C22semidirect
144. #2033C22semidirect
145. #2033C22semidirect
146. #2033C22semidirect
147. #2014C22semidirect
148. #2014C22semidirect
149. #2013C22semidirect
150. #2012C22semidirect
151. #2012C22semidirect
152. #2012C22semidirect
153. #2011C22semidirect
154. #2011C22semidirect
155. #2011C22semidirect
156. #2011C22semidirect
157. #2000C22semidirect
158. #2000C22semidirect
159. #2000C22semidirect
160. #2000C22semidirect
161. #2000C22semidirect
162. #1999C22semidirect
163. #1999C22semidirect
164. #1999C22semidirect
165. #1983C22semidirect
166. #1973C22semidirect
167. #1972C22semidirect
168. #1972C22semidirect
169. #1970C22semidirect
170. #1955C22semidirect
171. #1935C22semidirect
172. #1934C22semidirect
173. #1928C22semidirect
174. #1926C22semidirect
175. #1924C22semidirect
176. #1923C22semidirect
177. #1895C22semidirect
178. #1895C22semidirect
180. #1893C22semidirect
181. #1893C22semidirect
182. #1880C22semidirect
183. #1880C22semidirect
184. #1880C22semidirect
185. #1880C22semidirect
186. #1879C22semidirect
187. #1879C22semidirect
188. #1879C22semidirect
189. #1877C22semidirect
190. #1872C22semidirect
191. #1872C22semidirect
192. #1870C22semidirect
193. #1869C22semidirect
194. #1869C22semidirect
195. #1865C22semidirect
196. #1863C22semidirect
197. #1853C22semidirect
198. #1852C22semidirect
199. #1851C22semidirect
200. #1850C22semidirect
201. #1787C22semidirect
202. #1786C22semidirect
203. #1786C22semidirect
204. #1763C22semidirect
205. #1753C22semidirect
206. #1752C22semidirect
385. #449D4semidirect
389. #448D4semidirect
603. C2×#41C2×D4semidirect
617. C22×Q8C2×D4semidirect
758. C2×SD16C2×D4semidirect
759. C2×SD16C2×D4semidirect
760. C2×SD16C2×D4semidirect
785. C2×D8C2×D4semidirect
1011. #103C2×D4semidirect
1012. #103C2×D4semidirect
1013. #103C2×D4semidirect
1033. #102C2×D4semidirect
1043. C22⋊C8C2×D4semidirect
1044. C22⋊C8C2×D4semidirect
1299. C2×D4AGL(1,ℤ/8)semidirect
1655. Q8D42semidirect
1886. C22#3265semidirect

Maximal subgroups

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

subgroupindex
C2×D4×SD162
C2×#32652
C2×#30062
C22×#4492
#589972
#364282
#310632
#305052
#304712
#304542
#257912
#257882
#257682
#251792
#251592
#251232
#251082
#250942
#250882
#244412
#244292
#243852
#243792
#243702
#243562
#238602
#238582
#238482
#228832
#228552
#228462