Finite Group Databasebeta

← #7514104

Subgroups — #7514104

Order 512.

3450 conjugacy classes of subgroups.

The subgroup lattice has 1904 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3265C211yesmaximal, characteristic, complemented
2C2×#3264C211yesmaximal, characteristic, complemented
3C2×#3009C211yesmaximal, characteristic, complemented
4C2×#3008C211yesmaximal, characteristic, complemented
5#45093C211yesmaximal, characteristic, complemented
6#35680C211yesmaximal, characteristic, complemented
7#31057C211yesmaximal, characteristic, complemented
8#30511C211yesmaximal, characteristic, complemented
9#30472C211yesmaximal, characteristic, complemented
10#30460C211yesmaximal, characteristic, complemented
11#25797C211yesmaximal, characteristic, complemented
12#25793C211yesmaximal, characteristic, complemented
13#25762C211yesmaximal, characteristic, complemented
14#25178C211yesmaximal, characteristic, complemented
15#25170C211yesmaximal, characteristic, complemented
16#25129C211yesmaximal, characteristic, complemented
17#25125C211yesmaximal, characteristic, complemented
18#25081C211yesmaximal, characteristic, complemented
19#25077C211yesmaximal, characteristic, complemented
20#24448C211yesmaximal, characteristic, complemented
21#24440C211yesmaximal, characteristic, complemented
22#24396C211yesmaximal, characteristic, complemented
23#24390C211yesmaximal, characteristic, complemented
24#24359C211yesmaximal, characteristic, complemented
25#24355C211yesmaximal, characteristic, complemented
26#23871C211yesmaximal, characteristic, complemented
27#23863C211yesmaximal, characteristic, complemented
28#23863C211yesmaximal, characteristic, complemented
29#22868C211yesmaximal, characteristic, complemented
30#22864C211yesmaximal, characteristic, complemented
31#22845C211yesmaximal, characteristic, complemented
32C22×H(5,𝔽2)C2211yescharacteristic
33C22×#137C2211yescharacteristic, complemented
34C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
36C23×SD16C2211yescharacteristic, complemented
37C23×D8C2211yescharacteristic
38C2×#548C2211yescharacteristic, complemented
39C2×#546C2211yescharacteristic, complemented
40C2×#546C2211yescharacteristic, complemented
41C2×D42C2211yescharacteristic
42C2×D42C2211yescharacteristic, complemented
43C2×#536C2211yescharacteristic, complemented
44C2×#535C2211yescharacteristic, complemented
45#3265—28no—
46#3264—28no—
47C2×#496C2211yescharacteristic, complemented
48C2×#496C2211yescharacteristic, complemented
49C2×#495C2211yescharacteristic, complemented
50C2×#469C2211yescharacteristic, complemented
51C2×#469C2211yescharacteristic, complemented
52C2×#468C2211yescharacteristic, complemented
53C2×#468C2211yescharacteristic, complemented
54C2×#466C2211yescharacteristic, complemented
55C2×#465C2211yescharacteristic, complemented
56C2×#460C2211yescharacteristic, complemented
57C2×#463C2211yescharacteristic, complemented
58C2×#463C2211yescharacteristic, complemented
59C2×#463C2211yescharacteristic, complemented
60C2×#459C2211yescharacteristic, complemented
61#3009—28no—
62#3008—28no—
63C2×#452C2211yescharacteristic, complemented
64C2×#452C2211yescharacteristic, complemented
65C2×#452C2211yescharacteristic, complemented
66C2×#452C2211yescharacteristic, complemented
67C2×#452C2211yescharacteristic, complemented
68C2×#449C2211yescharacteristic
69C2×#449C2211yescharacteristic
70C2×#449C2211yescharacteristic, complemented
71C2×#449C2211yescharacteristic, complemented
72C2×#449C2211yescharacteristic, complemented
73C2×#449C2211yescharacteristic, complemented
74C2×#448C2211yescharacteristic, complemented
75C2×#450C2211yescharacteristic
76C2×#450C2211yescharacteristic
77C2×#450C2211yescharacteristic, complemented
78C2×#450C2211yescharacteristic, complemented
79C2×#450C2211yescharacteristic, complemented
80C2×#447C2211yescharacteristic
81C2×#447C2211yescharacteristic
82C2×#447C2211yescharacteristic, complemented
83C2×#447C2211yescharacteristic, complemented
84C2×#447C2211yescharacteristic, complemented
85C2×#447C2211yescharacteristic, complemented
86C2×#442C2211yescharacteristic, complemented
87C2×#440C2211yescharacteristic, complemented
88C2×#435C2211yescharacteristic, complemented
89C2×#435C2211yescharacteristic, complemented
90C2×#418C2211yescharacteristic
91C2×#418C2211yescharacteristic, complemented
92C2×#416C2211yescharacteristic, complemented
93C2×#416C2211yescharacteristic, complemented
94C2×#408C2211yescharacteristic, complemented
95C2×#408C2211yescharacteristic, complemented
96#2678—21no—
97#2674—21no—
98#2673—21no—
99#2670—21no—
100#2615C2211yescharacteristic
101#2613—21no—
102#2540C2211yescharacteristic, complemented
103#2491—21no—
104#2472—21no—
105#2445—21no—
106#2436C2211yescharacteristic, complemented
107#2435C2211yescharacteristic, complemented
108#2433C2211yescharacteristic, complemented
109#2431C2211yescharacteristic
110#2431C2211yescharacteristic, complemented
111#2430—21no—
112#2427C2211yescharacteristic, complemented
113#2426C2211yescharacteristic, complemented
114#2418—21no—
115#2415C2211yescharacteristic, complemented
116#2414C2211yescharacteristic, complemented
117#2410—21no—
118#2410—21no—
119#2408C2211yescharacteristic, complemented
120#2407C2211yescharacteristic
121#2407C2211yescharacteristic, complemented
122#2407C2211yescharacteristic, complemented
123#2404—21no—
124#2403—21no—
125#2403—21no—
126#2388C2211yescharacteristic
127C2×#392—21no—
128#2363C2211yescharacteristic, complemented
129#2362C2211yescharacteristic, complemented
130#2339C2211yescharacteristic, complemented
131D4×C22⋊C4C2211yescharacteristic
132D4×C22⋊C4C2211yescharacteristic, complemented
133#2068C2211yescharacteristic, complemented
134#2066C2211yescharacteristic, complemented
135#2055C2211yescharacteristic, complemented
136#2055C2211yescharacteristic, complemented
137#2054C2211yescharacteristic, complemented
138#2054C2211yescharacteristic, complemented
139#2041C2211yescharacteristic, complemented
140#2041C2211yescharacteristic, complemented
141#2036C2211yescharacteristic, complemented
142#2035C2211yescharacteristic, complemented
143#2034C2211yescharacteristic, complemented
144#2034C2211yescharacteristic, complemented
145#2033C2211yescharacteristic, complemented
146#2033C2211yescharacteristic, complemented
147#2015C2211yescharacteristic, complemented
148#2015C2211yescharacteristic, complemented
149#2015C2211yescharacteristic, complemented
150#2014C2211yescharacteristic, complemented
151#2012C2211yescharacteristic, complemented
152#2012C2211yescharacteristic, complemented
153#2012C2211yescharacteristic, complemented
154#2012C2211yescharacteristic, complemented
155#2012C2211yescharacteristic, complemented
156#2011C2211yescharacteristic, complemented
157#2001C2211yescharacteristic, 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#1971C2211yescharacteristic, complemented
168#1970C2211yescharacteristic, complemented
169#1968C2211yescharacteristic, complemented
170#1954C2211yescharacteristic, complemented
171#1936C2211yescharacteristic, complemented
172#1936C2211yescharacteristic, complemented
173#1926C2211yescharacteristic, complemented
174#1925C2211yescharacteristic, complemented
175#1924C2211yescharacteristic, complemented
176#1924C2211yescharacteristic, complemented
177#1895C2211yescharacteristic, complemented
178#1894C2211yescharacteristic, complemented
179#1894C2211yescharacteristic, complemented
180#1893C2211yescharacteristic, complemented
181#1892C2211yescharacteristic, complemented
182#1880C2211yescharacteristic, complemented
183#1879C2211yescharacteristic, complemented
184#1879C2211yescharacteristic, complemented
185#1879C2211yescharacteristic, complemented
186#1878C2211yescharacteristic, complemented
187#1877C2211yescharacteristic, complemented
188#1877C2211yescharacteristic, complemented
189#1877C2211yescharacteristic, complemented
190#1875C2211yescharacteristic, complemented
191#1875C2211yescharacteristic, complemented
192#1870C2211yescharacteristic, complemented
193#1870C2211yescharacteristic, complemented
194#1870C2211yescharacteristic, complemented
195#1864C2211yescharacteristic, complemented
196#1862C2211yescharacteristic, complemented
197#1854C2211yescharacteristic, complemented
198#1854C2211yescharacteristic, complemented
199#1850C2211yescharacteristic, complemented
200#1850C2211yescharacteristic, complemented
201#1787C2211yescharacteristic, complemented
202#1786C2211yescharacteristic, complemented
203#1786C2211yescharacteristic, complemented
204C4×#102C2211yescharacteristic, complemented
205#1753C2211yescharacteristic, complemented
206#1753C2211yescharacteristic, complemented
207C2×H(5,𝔽2)—24no—
208C2×H(5,𝔽2)—24no—
209C2×H(5,𝔽2)—42no—
210C2×H(5,𝔽2)—42no—
211C2×H(5,𝔽2)—42no—
212C2×H(5,𝔽2)—42no—
213C22×#41—21no—
214C22×#41C2311yescharacteristic
215C22×#41C2311yescharacteristic
216C22×#41C2311yescharacteristic
217C22×#41C2311yescharacteristic
218C22×#41C2311yescharacteristic
219C23×Q8C2311yescharacteristic
220C23×D4—21no—
221C23×D4—21no—
222C23×D4—21no—
223C23×D4—21no—
224C23×D4—21no—
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C2×#137—24no—
231C2×#137—42no—
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)—42no—
237C2×AGL(1,ℤ/8)—42no—
238C2×AGL(1,ℤ/8)—42no—
239C22×Q16C2311yescharacteristic
240C22×Q16C2311yescharacteristic
241C22×SD16—24no—
242C22×SD16—24no—
243C22×SD16—42no—
244C22×SD16C2311yescharacteristic
245C22×SD16C2311yescharacteristic
246C22×SD16C2311yescharacteristic
247C22×SD16C2311yescharacteristic
248C22×SD16C2311yescharacteristic
249C22×SD16C2311yescharacteristic
250C22×SD16C2311yescharacteristic
251C22×SD16C2311yescharacteristic
252C22×SD16C2311yescharacteristic
253C22×SD16C2311yescharacteristic
254C22×D8—24no—
255C22×D8—24no—
256C22×D8—42no—
257C22×D8C2311yescharacteristic
258C22×D8C2311yescharacteristic
259C22×D8C2311yescharacteristic
260C22×D8C2311yescharacteristic
261C22×D8C2311yescharacteristic
262C22×D8C2311yescharacteristic
263C22×D8C2311yescharacteristic
264C22×D8C2311yescharacteristic
265C22×M16C2311yescharacteristic
266C22×M16C2311yescharacteristic
267C22×M16C2311yescharacteristic
268C23×C8C2311yescharacteristic
269C23×C8C2311yescharacteristic
270#548—24no—
271#548—42no—
272#546—24no—
273#546—42no—
274#546—42no—
275#546—42no—
276D42—24no—
277D42—24no—
278D42—42no—
279D42—42no—
280#536—24no—
281#536—42no—
282#535—24no—
283#535—42no—
284C2×C4⋊Q8—21no—
285C2×#127—21no—
286C2×#127C2311yescharacteristic
287C2×#127C2311yescharacteristic
288C2×#124—21no—
289C2×#124—21no—
290C2×#124—21no—
291C2×#124C2311yescharacteristic
292C2×#124C2311yescharacteristic
293C2×#124C2311yescharacteristic
294C2×#124C2311yescharacteristic
295C2×#123—21no—
296C2×#123—21no—
297C2×#123—21no—
298C2×#123—21no—
299C2×C22⋊Q8—21no—
300C2×C22⋊Q8C2311yescharacteristic
301C2×C22⋊Q8C2311yescharacteristic
302C2×C22⋊Q8C2311yescharacteristic
303C2×C22⋊Q8C2311yescharacteristic
304C2×C22⋊Q8C2311yescharacteristic
305C2×C22⋊Q8C2311yescharacteristic
306C2×#121—21no—
307C2×#121—21no—
308C2×#121—21no—
309C2×#121—21no—
310C2×#121—21no—
311C2×#121C2311yescharacteristic
312C2×#121C2311yescharacteristic
313C2×#121C2311yescharacteristic
314C2×#121C2311yescharacteristic
315C2×#121C2311yescharacteristic
316C2×#121C2311yescharacteristic
317C2×#121C2311yescharacteristic
318C2×#121C2311yescharacteristic
319C2×#121C2311yescharacteristic
320C2×#121C2311yescharacteristic
321C2×#120—21no—
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×#120—21no—
332C2×C4×Q8C2311yescharacteristic
333C2×C4×D4—21no—
334C2×C4×D4C2311yescharacteristic
335C2×C4×D4C2311yescharacteristic
336C2×C4×D4C2311yescharacteristic
337C2×C4×D4C2311yescharacteristic
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2311yescharacteristic
341C2×#117C2311yescharacteristic
342C2×#117C2311yescharacteristic
343C22×C22⋊C4—21no—
344C22×C22⋊C4—21no—
345C22×C22⋊C4—21no—
346C22×C22⋊C4—21no—
347#496—24no—
348#496—24no—
349#495—42no—
350#469—24no—
351#469—42no—
352#468—24no—
353#468—42no—
354#466—24no—
355#465—24no—
356#463—24no—
357#463—24no—
358#463—42no—
359#460—24no—
360#459—24no—
361#452—24no—
362#452—24no—
363#452—24no—
364#452—24no—
365#452—42no—
366#450—24no—
367#450—24no—
368#450—24no—
369#450—24no—
370#450D418yescomplemented
371#449—24no—
372#449—24no—
373#449—24no—
374#449—24no—
375#449—24no—
376#449—24no—
377#448—24no—
378#447—24no—
379#447—24no—
380#447—24no—
381#447—24no—
382#447—24no—
383#447D418yescomplemented
384#442—24no—
385#440—24no—
386#435—24no—
387#435—24no—
388C2×#107C2311yescharacteristic
389C2×#107C2311yescharacteristic
390C2×#106C2311yescharacteristic
391C2×#106C2311yescharacteristic
392C2×C4⋊C8C2311yescharacteristic
393C2×C4⋊C8C2311yescharacteristic
394C2×C4⋊C8C2311yescharacteristic
395#418—24no—
396#418—24no—
397#416—24no—
398#416—24no—
399C2×#103C2311yescharacteristic
400C2×#103C2311yescharacteristic
401C2×#103C2311yescharacteristic
402C2×#103C2311yescharacteristic
403C2×#103C2311yescharacteristic
404C2×#103C2311yescharacteristic
405C2×#103C2311yescharacteristic
406C2×#103C2311yescharacteristic
407C2×#103C2311yescharacteristic
408C2×#103C2311yescharacteristic
409C2×#102C2311yescharacteristic
410C2×#102C2311yescharacteristic
411C2×#102C2311yescharacteristic
412C2×#102C2311yescharacteristic
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
431#408—24no—
432#408—24no—
433C2×C22⋊C8C2311yescharacteristic
434C2×C22⋊C8C2311yescharacteristic
435C2×C22⋊C8C2311yescharacteristic
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×#97C2311yescharacteristic
445C2×#97C2311yescharacteristic
446C2×C4×C8C2311yescharacteristic
447#399—21no—
448#397—21no—
449#397—21no—
450#396—21no—
451#395D411yescharacteristic
452#394—21no—
453#394—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#394D411yescharacteristic
463#394D411yescharacteristic
464#394D411yescharacteristic
465#393—21no—
466#393—21no—
467#393—21no—
468#393D411yescharacteristic
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#392—21no—
479#392—21no—
480#392—21no—
481#392—21no—
482#392—21no—
483#392—21no—
484#392D411yescharacteristic
485#392D411yescharacteristic
486#392D411yescharacteristic
487#391C2311yescharacteristic
488#391C2311yescharacteristic
489#391C2311yescharacteristic
490#391C2311yescharacteristic
491#390—21no—
492#390—21no—
493#390—21no—
494#390—21no—
495#390—21no—
496#390C2311yescharacteristic
497#390C2311yescharacteristic
498#390C2311yescharacteristic
499#390C2311yescharacteristic
500#390C2311yescharacteristic
501#390C2311yescharacteristic
502#389—21no—
503#389C2311yescharacteristic
504#389C2311yescharacteristic
505#388—21no—
506#388—21no—
507#388—21no—
508#388—21no—
509#388—21no—
510#388—21no—
511#387—21no—
512#386—21no—
513#386—21no—
514#386—21no—
515#386—21no—
516#386—21no—
517#386—21no—
518#386—21no—
519#386—21no—
520#386—21no—
521#386—21no—
522#386—21no—
523#386—21no—
524#386—21no—
525#386—21no—
526#386—21no—
527#386—21no—
528#386—21no—
529#385—21no—
530#385—21no—
531#385—21no—
532#381—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—
543C4×C4⋊C4—21no—
544C4×C4⋊C4C2311yescharacteristic
545C4×C22⋊C4—21no—
546C4×C22⋊C4C2311yescharacteristic
547C4×C22⋊C4C2311yescharacteristic
548C4×C22⋊C4C2311yescharacteristic
549C2×#95—21no—
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—
567C25—21no—
568C25—21no—
569H(5,𝔽2)—416no—
570H(5,𝔽2)—416no—
571H(5,𝔽2)—416no—
572H(5,𝔽2)—416no—
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—22no—
588C2×#41—22no—
589C2×#41—22no—
590C2×#41—22no—
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—44no—
602C2×#41—41no—
603C2×#41—41no—
604C2×#41—44no—
605C2×#41—44no—
606C22×Q8—21no—
607C22×Q8—22no—
608C22×Q8—22no—
609C22×Q8—22no—
610C22×Q8—41no—
611C22×Q8—41no—
612C22×Q8—41no—
613C22×Q8C2×D411yescharacteristic
614C22×Q8C2411yescharacteristic
615C22×Q8C2411yescharacteristic
616C22×Q8C2411yescharacteristic
617C22×D4—22no—
618C22×D4—22no—
619C22×D4—22no—
620C22×D4—22no—
621C22×D4—21no—
622C22×D4—21no—
623C22×D4—22no—
624C22×D4—22no—
625C22×D4—22no—
626C22×D4—22no—
627C22×D4—22no—
628C22×D4—22no—
629C22×D4—21no—
630C22×D4—21no—
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—21no—
645C22×D4—21no—
646C22×D4—21no—
647C22×D4—21no—
648C22×D4—21no—
649C22×D4—21no—
650C22×D4—21no—
651C22×D4—22no—
652C22×D4—22no—
653C22×D4—22no—
654C22×D4—41no—
655C22×D4—41no—
656C22×D4—41no—
657C22×D4—41no—
658C22×D4—41no—
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—44no—
669C22×D4—44no—
670C22×D4—44no—
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—82no—
680C22×D4—82no—
681C22×D4—82no—
682C22×D4—82no—
683C22×D4C2×D411yescharacteristic
684C22×D4C2×D411yescharacteristic
685C22×D4C2×D411yescharacteristic
686C22×D4C2×D414yes—
687C22×D4C2×D414yes—
688C22×D4C2×D411yescharacteristic
689C22×D4C2×D411yescharacteristic
690C22×D4C2×D411yescharacteristic
691C22×D4C2411yescharacteristic
692C22×D4C2411yescharacteristic
693C22×D4C2411yescharacteristic
694C22×D4C2411yescharacteristic
695C22×D4C2411yescharacteristic
696C22×D4C2411yescharacteristic
697C23×C4—21no—
698C23×C4—21no—
699C23×C4—21no—
700C23×C4—21no—
701C23×C4—21no—
702C23×C4—21no—
703C23×C4—21no—
704C23×C4—21no—
705C23×C4—21no—
706C23×C4C2411yescharacteristic
707C23×C4C2411yescharacteristic
708C23×C4C2411yescharacteristic
709C23×C4C2411yescharacteristic
710#137—416no—
711AGL(1,ℤ/8)—416no—
712AGL(1,ℤ/8)—416no—
713C2×Q16—22no—
714C2×Q16—22no—
715C2×Q16—22no—
716C2×Q16—22no—
717C2×Q16—41no—
718C2×Q16—41no—
719C2×SD16—22no—
720C2×SD16—22no—
721C2×SD16—22no—
722C2×SD16—22no—
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—41no—
737C2×SD16—41no—
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—416no—
748C2×SD16C2×D414yes—
749C2×SD16C2×D414yescomplemented
750C2×D8—22no—
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—41no—
764C2×D8—41no—
765C2×D8—41no—
766C2×D8—41no—
767C2×D8—41no—
768C2×D8—41no—
769C2×D8—41no—
770C2×D8—41no—
771C2×D8—41no—
772C2×D8—416no—
773C2×D8C2×D414yes—
774C2×D8C2×D414yescomplemented
775C2×M16—22no—
776C2×M16—22no—
777C2×M16—22no—
778C2×M16—22no—
779C2×M16—22no—
780C2×M16—22no—
781C2×M16—41no—
782C2×M16—41no—
783C2×M16—41no—
784C22×C8—22no—
785C22×C8—22no—
786C22×C8—22no—
787C22×C8—22no—
788C22×C8—41no—
789C22×C8—41no—
790C22×C8C2411yescharacteristic
791C22×C8C2411yescharacteristic
792C22×C8C2411yescharacteristic
793C22×C8C2411yescharacteristic
794C22×C8C2411yescharacteristic
795C22×C8C2411yescharacteristic
796C22×C8C2411yescharacteristic
797C22×C8C2411yescharacteristic
798C4⋊Q8—44no—
799#127—22no—
800#127—22no—
801#127—41no—
802#127—41no—
803#127—44no—
804#124—22no—
805#124—22no—
806#124—22no—
807#124—41no—
808#124—41no—
809#124—41no—
810#124—41no—
811#124—41no—
812#124—44no—
813#124—44no—
814#124—44no—
815#123—44no—
816#123—44no—
817#123—44no—
818#123—44no—
819C22⋊Q8—22no—
820C22⋊Q8—22no—
821C22⋊Q8—22no—
822C22⋊Q8—22no—
823C22⋊Q8—22no—
824C22⋊Q8—22no—
825C22⋊Q8—22no—
826C22⋊Q8—44no—
827C22⋊Q8—41no—
828C22⋊Q8—41no—
829C22⋊Q8—41no—
830C22⋊Q8—41no—
831C22⋊Q8C2×D414yescomplemented
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—22no—
842#121—22no—
843#121—22no—
844#121—44no—
845#121—41no—
846#121—41no—
847#121—41no—
848#121—41no—
849#121—41no—
850#121—41no—
851#121—41no—
852#121—44no—
853#121—44no—
854#121—44no—
855#121—44no—
856#121C2×D414yescomplemented
857#120—44no—
858#120—44no—
859#120—44no—
860#120—44no—
861#120—44no—
862#120—44no—
863#120—44no—
864#120—44no—
865#120—82no—
866#120—82no—
867#120—82no—
868C4×Q8—22no—
869C4×Q8—41no—
870C4×D4—22no—
871C4×D4—22no—
872C4×D4—22no—
873C4×D4—22no—
874C4×D4—22no—
875C4×D4—22no—
876C4×D4—22no—
877C4×D4—22no—
878C4×D4—41no—
879C4×D4—41no—
880C4×D4—41no—
881C4×D4—41no—
882C4×D4—41no—
883C4×D4—41no—
884C4×D4—44no—
885#117—22no—
886#117—22no—
887#117—41no—
888#117—41no—
889C2×C4⋊C4—21no—
890C2×C4⋊C4—21no—
891C2×C4⋊C4—21no—
892C2×C4⋊C4—21no—
893C2×C4⋊C4—21no—
894C2×C4⋊C4—21no—
895C2×C4⋊C4—21no—
896C2×C4⋊C4—21no—
897C2×C4⋊C4—21no—
898C2×C4⋊C4C2×D411yescharacteristic
899C2×C4⋊C4C2×D411yescharacteristic
900C2×C4⋊C4C2×D411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C22⋊C4—21no—
909C2×C22⋊C4—21no—
910C2×C22⋊C4—21no—
911C2×C22⋊C4—21no—
912C2×C22⋊C4—21no—
913C2×C22⋊C4—21no—
914C2×C22⋊C4—21no—
915C2×C22⋊C4—21no—
916C2×C22⋊C4—21no—
917C2×C22⋊C4—21no—
918C2×C22⋊C4—21no—
919C2×C22⋊C4—21no—
920C2×C22⋊C4—21no—
921C2×C22⋊C4—21no—
922C2×C22⋊C4—21no—
923C2×C22⋊C4—21no—
924C2×C22⋊C4—21no—
925C2×C22⋊C4—21no—
926C2×C22⋊C4—21no—
927C2×C22⋊C4—21no—
928C2×C22⋊C4—21no—
929C2×C22⋊C4—21no—
930C2×C22⋊C4—21no—
931C2×C22⋊C4—21no—
932C2×C22⋊C4—21no—
933C2×C22⋊C4—21no—
934C2×C22⋊C4—21no—
935C2×C22⋊C4—21no—
936C2×C22⋊C4—21no—
937C2×C22⋊C4—21no—
938C2×C22⋊C4—21no—
939C2×C22⋊C4—21no—
940C2×C22⋊C4—21no—
941C2×C22⋊C4—21no—
942C2×C22⋊C4—21no—
943C2×C22⋊C4—21no—
944C2×C22⋊C4—21no—
945C2×C22⋊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—44no—
955C2×C22⋊C4—44no—
956C2×C22⋊C4—82no—
957C2×C22⋊C4—82no—
958C2×C22⋊C4C2×D411yescharacteristic
959C2×C22⋊C4C2×D411yescharacteristic
960C2×C22⋊C4C2×D411yescharacteristic
961C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
971C2×C42—21no—
972C2×C42—21no—
973C2×C42—21no—
974C2×C42C2411yescharacteristic
975C2×C42C2411yescharacteristic
976C2×C42C2411yescharacteristic
977#107—22no—
978#107—41no—
979#106—22no—
980#106—41no—
981C4⋊C8—22no—
982C4⋊C8—22no—
983C4⋊C8—41no—
984#103—22no—
985#103—22no—
986#103—22no—
987#103—22no—
988#103—22no—
989#103—22no—
990#103—22no—
991#103—41no—
992#103—41no—
993#103—41no—
994#102—22no—
995#102—22no—
996#102—22no—
997#102—22no—
998#102—22no—
999#102—22no—
1000#102—22no—
1001#102—22no—
1002#102—22no—
1003#102—22no—
1004#102—22no—
1005#102—22no—
1006#102—22no—
1007#102—41no—
1008#102—41no—
1009#102—41no—
1010#102—41no—
1011#102—41no—
1012#102C2×D414yes—
1013#102C2×D414yes—
1014#102C2×D414yescomplemented
1015#102C2×D414yescomplemented
1016C22⋊C8—22no—
1017C22⋊C8—22no—
1018C22⋊C8—22no—
1019C22⋊C8—22no—
1020C22⋊C8—22no—
1021C22⋊C8—22no—
1022C22⋊C8—22no—
1023C22⋊C8—22no—
1024C22⋊C8—41no—
1025C22⋊C8C2×D414yescomplemented
1026C22⋊C8C2×D414yescomplemented
1027#97—22no—
1028#97—22no—
1029C4×C8—41no—
1030#95—21no—
1031#95—21no—
1032#95—21no—
1033#95—21no—
1034#95—21no—
1035#95—21no—
1036#95—21no—
1037#95—21no—
1038#95—21no—
1039#95—21no—
1040#95—21no—
1041#95—21no—
1042#95—21no—
1043#95—21no—
1044#95—21no—
1045#95C2×D411yescharacteristic
1046#95C2×D411yescharacteristic
1047#95C2×D411yescharacteristic
1048#95C2×D411yescharacteristic
1049#95C2×D411yescharacteristic
1050#95C2×D411yescharacteristic
1051C24—21no—
1052C24—21no—
1053C24—21no—
1054C24—21no—
1055C24—24no—
1056C24—24no—
1057C24—21no—
1058C24—21no—
1059C24—42no—
1060C24—42no—
1061C24—42no—
1062C24—42no—
1063C24—42no—
1064C24—42no—
1065C24—42no—
1066C24—42no—
1067C24—42no—
1068C24—42no—
1069C24—42no—
1070C24—42no—
1071C24—42no—
1072C24—81no—
1073C24—81no—
1074C24—81no—
1075C24—81no—
1076C24—81no—
1077C24—81no—
1078C24—81no—
1079C24—81no—
1080C24—81no—
1081C24—81no—
1082C24—81no—
1083C24—81no—
1084C24—81no—
1085C24—81no—
1086C24—81no—
1087C24—81no—
1088C24—81no—
1089C24—81no—
1090C24—81no—
1091C24—81no—
1092C24C22×D411yescharacteristic
1093C24C22×D411yescharacteristic
1094C24C22×D411yescharacteristic
1095C24C22×D411yescharacteristic
1096#41—28no—
1097#41—28no—
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—44no—
1109#41—44no—
1110#41—44no—
1111#41—432no—
1112#41—44no—
1113#41—44no—
1114#41—82no—
1115#41—82no—
1116#41—82no—
1117C2×Q8—22no—
1118C2×Q8—22no—
1119C2×Q8—21no—
1120C2×Q8—21no—
1121C2×Q8—21no—
1122C2×Q8—21no—
1123C2×Q8—21no—
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×Q8—42no—
1137C2×Q8—44no—
1138C2×Q8—44no—
1139C2×Q8—42no—
1140C2×Q8—81no—
1141C2×Q8—82no—
1142C2×Q8—82no—
1143C2×Q8C22×D412yes—
1144C2×Q8H(5,𝔽2)12yes—
1145C2×D4—28no—
1146C2×D4—28no—
1147C2×D4—24no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—22no—
1154C2×D4—24no—
1155C2×D4—22no—
1156C2×D4—24no—
1157C2×D4—24no—
1158C2×D4—22no—
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—21no—
1184C2×D4—21no—
1185C2×D4—21no—
1186C2×D4—21no—
1187C2×D4—21no—
1188C2×D4—21no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
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—41no—
1214C2×D4—41no—
1215C2×D4—41no—
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—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—432no—
1237C2×D4—432no—
1238C2×D4—432no—
1239C2×D4—44no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—44no—
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—82no—
1255C2×D4—82no—
1256C2×D4—81no—
1257C2×D4—81no—
1258C2×D4—81no—
1259C2×D4—81no—
1260C2×D4—81no—
1261C2×D4—81no—
1262C2×D4—81no—
1263C2×D4—82no—
1264C2×D4—82no—
1265C2×D4—82no—
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—81no—
1279C2×D4—81no—
1280C2×D4—81no—
1281C2×D4—81no—
1282C2×D4—81no—
1283C2×D4—81no—
1284C2×D4—81no—
1285C2×D4—816no—
1286C2×D4—816no—
1287C2×D4C22×D412yes—
1288C2×D4C22×D412yes—
1289C2×D4C22×D412yes—
1290C2×D4C22×D412yes—
1291C2×D4C22×D412yes—
1292C2×D4H(5,𝔽2)12yes—
1293C22×C4—21no—
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4—21no—
1297C22×C4—21no—
1298C22×C4—21no—
1299C22×C4—21no—
1300C22×C4—21no—
1301C22×C4—24no—
1302C22×C4—21no—
1303C22×C4—21no—
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—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—21no—
1324C22×C4—42no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—42no—
1329C22×C4—42no—
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—81no—
1343C22×C4—81no—
1344C22×C4—81no—
1345C22×C4—81no—
1346C22×C4—81no—
1347C22×C4—81no—
1348C22×C4—81no—
1349C22×C4—81no—
1350C22×C4C22×D411yescharacteristic
1351C22×C4C22×D411yescharacteristic
1352C22×C4C22×D411yescharacteristic
1353C22×C4C22×D411yescharacteristic
1354C22×C4C22×D411yescharacteristic
1355C22×C4C22×D411yescharacteristic
1356C22×C4C22×D411yescharacteristic
1357C22×C4C22×D411yescharacteristic
1358C22×C4C22×D411yescharacteristic
1359C22×C4C22×D411yescharacteristic
1360C22×C4C22×D412yes—
1361C22×C4C22×D412yes—
1362C22×C4H(5,𝔽2)12yes—
1363C22×C4H(5,𝔽2)12yes—
1364C22×C4C2511yescharacteristic
1365Q16—44no—
1366Q16—44no—
1367SD16—28no—
1368SD16—44no—
1369SD16—44no—
1370SD16—44no—
1371SD16—44no—
1372SD16—44no—
1373SD16—44no—
1374SD16—44no—
1375SD16—44no—
1376SD16—82no—
1377D8—28no—
1378D8—44no—
1379D8—44no—
1380D8—44no—
1381D8—44no—
1382D8—44no—
1383D8—44no—
1384D8—82no—
1385M16—44no—
1386M16—44no—
1387M16—44no—
1388C2×C8—21no—
1389C2×C8—21no—
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—44no—
1409C2×C8—44no—
1410C2×C8C22×D412yes—
1411C2×C8C22×D412yes—
1412C2×C8C22×D412yes—
1413C2×C8C22×D412yes—
1414C4⋊C4—24no—
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—41no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—81no—
1437C4⋊C4—81no—
1438C4⋊C4C22×D412yes—
1439C4⋊C4C22×D412yes—
1440C22⋊C4—24no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—24no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
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—81no—
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—
1498C42—21no—
1499C42—21no—
1500C42—21no—
1501C42—21no—
1502C42—21no—
1503C42—21no—
1504C42—42no—
1505C42—42no—
1506C42—42no—
1507C42—81no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—22no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—22no—
1536C23—22no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—48no—
1541C23—48no—
1542C23—41no—
1543C23—41no—
1544C23—41no—
1545C23—41no—
1546C23—48no—
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—84no—
1580C23—84no—
1581C23—84no—
1582C23—84no—
1583C23—84no—
1584C23—84no—
1585C23—84no—
1586C23—84no—
1587C23—84no—
1588C23—84no—
1589C23—162no—
1590C23—162no—
1591C23—162no—
1592C23—162no—
1593C23—162no—
1594C23—162no—
1595C23—162no—
1596C23—162no—
1597C23—162no—
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—
1611C23D4212yes—
1612C23D4212yes—
1613C23C23×D411yescharacteristic
1614Q8—22no—
1615Q8—22no—
1616Q8—22no—
1617Q8—22no—
1618Q8—44no—
1619Q8—41no—
1620Q8—41no—
1621Q8—41no—
1622Q8—41no—
1623Q8—41no—
1624Q8—41no—
1625Q8—41no—
1626Q8—41no—
1627Q8—84no—
1628D4—22no—
1629D4—22no—
1630D4—22no—
1631D4—22no—
1632D4—22no—
1633D4—22no—
1634D4—22no—
1635D4—22no—
1636D4—22no—
1637D4—44no—
1638D4—48no—
1639D4—44no—
1640D4—48no—
1641D4—44no—
1642D4—48no—
1643D4—44no—
1644D4—44no—
1645D4—48no—
1646D4—48no—
1647D4—48no—
1648D4—41no—
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—84no—
1663D4—84no—
1664D4—84no—
1665D4—82no—
1666D4—84no—
1667D4—84no—
1668D4—84no—
1669D4—84no—
1670D4—84no—
1671D4—84no—
1672D4—84no—
1673D4—162no—
1674D4—162no—
1675D4—162no—
1676D4—162no—
1677D4—162no—
1678D4—162no—
1679D4—162no—
1680D4D4214yes—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
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—22no—
1711C2×C4—21no—
1712C2×C4—22no—
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—48no—
1722C2×C4—48no—
1723C2×C4—48no—
1724C2×C4—41no—
1725C2×C4—41no—
1726C2×C4—41no—
1727C2×C4—41no—
1728C2×C4—41no—
1729C2×C4—41no—
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—84no—
1759C2×C4—84no—
1760C2×C4—84no—
1761C2×C4—84no—
1762C2×C4—162no—
1763C2×C4—162no—
1764C2×C4D4212yes—
1765C2×C4D4212yes—
1766C2×C4C23×D411yescharacteristic
1767C2×C4C23×D411yescharacteristic
1768C2×C4C2×H(5,𝔽2)11yescharacteristic
1769C2×C4C2×H(5,𝔽2)11yescharacteristic
1770C2×C4C2×H(5,𝔽2)11yescharacteristic
1771C2×C4C2×H(5,𝔽2)11yescharacteristic
1772C8—22no—
1773C8—22no—
1774C8—22no—
1775C8—22no—
1776C8—41no—
1777C8—41no—
1778C8—41no—
1779C8—41no—
1780C22—22no—
1781C22—22no—
1782C22—24no—
1783C22—22no—
1784C22—22no—
1785C22—22no—
1786C22—22no—
1787C22—42no—
1788C22—41no—
1789C22—42no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—42no—
1794C22—42no—
1795C22—41no—
1796C22—41no—
1797C22—42no—
1798C22—42no—
1799C22—41no—
1800C22—41no—
1801C22—42no—
1802C22—42no—
1803C22—41no—
1804C22—41no—
1805C22—42no—
1806C22—41no—
1807C22—42no—
1808C22—42no—
1809C22—41no—
1810C22—41no—
1811C22—42no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—42no—
1816C22—42no—
1817C22—42no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—81no—
1825C22—81no—
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—168no—
1851C22—168no—
1852C22—168no—
1853C22—168no—
1854C22—168no—
1855C22C2×D4211yescharacteristic
1856C22C2×D4211yescharacteristic
1857C22#348411yescharacteristic
1858C22#358411yescharacteristic
1859C22#358511yescharacteristic
1860C22#358511yescharacteristic
1861C22#358511yescharacteristic
1862C4—22no—
1863C4—22no—
1864C4—41no—
1865C4—41no—
1866C4—42no—
1867C4—42no—
1868C4—41no—
1869C4—42no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—42no—
1874C4—41no—
1875C4—41no—
1876C4—81no—
1877C4—81no—
1878C4—81no—
1879C4—81no—
1880C4—81no—
1881C4—81no—
1882C4C2×D4211yescharacteristic
1883C4#348411yescharacteristic
1884C4#348411yescharacteristic
1885C4#353211yescharacteristic
1886C2—42no—
1887C2—42no—
1888C2—44no—
1889C2—81no—
1890C2—81no—
1891C2—82no—
1892C2—82no—
1893C2—82no—
1894C2—161no—
1895C2—161no—
1896C2#5899011yescharacteristic
1897C2#6105811yescharacteristic
1898C2#6105911yescharacteristic
1899C2#6109211yescharacteristic
1900C2#6109211yescharacteristic
1901C2#6162511yescharacteristic
1902C2#6167511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2388 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3265C2semidirect
2. C2×#3264C2semidirect
3. C2×#3009C2semidirect
4. C2×#3008C2semidirect
5. #45093C2semidirect
6. #35680C2semidirect
7. #31057C2semidirect
8. #30511C2semidirect
9. #30472C2semidirect
10. #30460C2semidirect
11. #25797C2semidirect
12. #25793C2semidirect
13. #25762C2semidirect
14. #25178C2semidirect
15. #25170C2semidirect
16. #25129C2semidirect
17. #25125C2semidirect
18. #25081C2semidirect
19. #25077C2semidirect
20. #24448C2semidirect
21. #24440C2semidirect
22. #24396C2semidirect
23. #24390C2semidirect
24. #24359C2semidirect
25. #24355C2semidirect
26. #23871C2semidirect
27. #23863C2semidirect
28. #23863C2semidirect
29. #22868C2semidirect
30. #22864C2semidirect
31. #22845C2semidirect
33. C22×#137C22semidirect
34. C22×AGL(1,ℤ/8)C22semidirect
35. C22×AGL(1,ℤ/8)C22semidirect
36. C23×SD16C22semidirect
38. C2×#548C22semidirect
39. C2×#546C22semidirect
40. C2×#546C22semidirect
42. C2×D42C22semidirect
43. C2×#536C22semidirect
44. C2×#535C22semidirect
47. C2×#496C22semidirect
48. C2×#496C22semidirect
49. C2×#495C22semidirect
50. C2×#469C22semidirect
51. C2×#469C22semidirect
52. C2×#468C22semidirect
53. C2×#468C22semidirect
54. C2×#466C22semidirect
55. C2×#465C22semidirect
56. C2×#460C22semidirect
57. C2×#463C22semidirect
58. C2×#463C22semidirect
59. C2×#463C22semidirect
60. C2×#459C22semidirect
63. C2×#452C22semidirect
64. C2×#452C22semidirect
65. C2×#452C22semidirect
66. C2×#452C22semidirect
67. C2×#452C22semidirect
70. C2×#449C22semidirect
71. C2×#449C22semidirect
72. C2×#449C22semidirect
73. C2×#449C22semidirect
74. C2×#448C22semidirect
77. C2×#450C22semidirect
78. C2×#450C22semidirect
79. C2×#450C22semidirect
82. C2×#447C22semidirect
83. C2×#447C22semidirect
84. C2×#447C22semidirect
85. C2×#447C22semidirect
86. C2×#442C22semidirect
87. C2×#440C22semidirect
88. C2×#435C22semidirect
89. C2×#435C22semidirect
91. C2×#418C22semidirect
92. C2×#416C22semidirect
93. C2×#416C22semidirect
94. C2×#408C22semidirect
95. C2×#408C22semidirect
102. #2540C22semidirect
106. #2436C22semidirect
107. #2435C22semidirect
108. #2433C22semidirect
110. #2431C22semidirect
112. #2427C22semidirect
113. #2426C22semidirect
115. #2415C22semidirect
116. #2414C22semidirect
119. #2408C22semidirect
121. #2407C22semidirect
122. #2407C22semidirect
128. #2363C22semidirect
129. #2362C22semidirect
130. #2339C22semidirect
132. D4×C22⋊C4C22semidirect
133. #2068C22semidirect
134. #2066C22semidirect
135. #2055C22semidirect
136. #2055C22semidirect
137. #2054C22semidirect
138. #2054C22semidirect
139. #2041C22semidirect
140. #2041C22semidirect
141. #2036C22semidirect
142. #2035C22semidirect
143. #2034C22semidirect
144. #2034C22semidirect
145. #2033C22semidirect
146. #2033C22semidirect
147. #2015C22semidirect
148. #2015C22semidirect
149. #2015C22semidirect
150. #2014C22semidirect
151. #2012C22semidirect
152. #2012C22semidirect
153. #2012C22semidirect
154. #2012C22semidirect
155. #2012C22semidirect
156. #2011C22semidirect
157. #2001C22semidirect
158. #2000C22semidirect
159. #2000C22semidirect
160. #2000C22semidirect
161. #2000C22semidirect
162. #1999C22semidirect
163. #1999C22semidirect
164. #1999C22semidirect
165. #1983C22semidirect
166. #1973C22semidirect
167. #1971C22semidirect
168. #1970C22semidirect
169. #1968C22semidirect
170. #1954C22semidirect
171. #1936C22semidirect
172. #1936C22semidirect
173. #1926C22semidirect
174. #1925C22semidirect
175. #1924C22semidirect
176. #1924C22semidirect
177. #1895C22semidirect
178. #1894C22semidirect
179. #1894C22semidirect
180. #1893C22semidirect
181. #1892C22semidirect
182. #1880C22semidirect
183. #1879C22semidirect
184. #1879C22semidirect
185. #1879C22semidirect
186. #1878C22semidirect
187. #1877C22semidirect
188. #1877C22semidirect
189. #1877C22semidirect
190. #1875C22semidirect
191. #1875C22semidirect
192. #1870C22semidirect
193. #1870C22semidirect
194. #1870C22semidirect
195. #1864C22semidirect
196. #1862C22semidirect
197. #1854C22semidirect
198. #1854C22semidirect
199. #1850C22semidirect
200. #1850C22semidirect
201. #1787C22semidirect
202. #1786C22semidirect
203. #1786C22semidirect
204. C4×#102C22semidirect
205. #1753C22semidirect
206. #1753C22semidirect
370. #450D4semidirect
383. #447D4semidirect
749. C2×SD16C2×D4semidirect
774. C2×D8C2×D4semidirect
831. C22⋊Q8C2×D4semidirect
856. #121C2×D4semidirect
1014. #102C2×D4semidirect
1015. #102C2×D4semidirect
1025. C22⋊C8C2×D4semidirect
1026. C22⋊C8C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32652
C2×#32642
C2×#30092
C2×#30082
#450932
#356802
#310572
#305112
#304722
#304602
#257972
#257932
#257622
#251782
#251702
#251292
#251252
#250812
#250772
#244482
#244402
#243962
#243902
#243592
#243552
#238712
#238632
#228682
#228642
#228452