Finite Group Databasebeta

← #7513998

Subgroups — #7513998

Order 512.

3474 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3282C211yesmaximal, characteristic, complemented
2C2×D4×SD16C211yesmaximal, characteristic, complemented
3C2×#3002C211yesmaximal, characteristic, complemented
4C22×#449C211yesmaximal, characteristic, complemented
5#59004C211yesmaximal, characteristic, complemented
6#36428C211yesmaximal, characteristic, complemented
7#31057C211yesmaximal, characteristic, complemented
8#30503C211yesmaximal, characteristic, complemented
9#30455C211yesmaximal, characteristic, complemented
10#30454C211yesmaximal, characteristic, complemented
11#25781C211yesmaximal, characteristic, complemented
12#25775C211yesmaximal, characteristic, complemented
13#25761C211yesmaximal, characteristic, complemented
14#25159C211yesmaximal, characteristic, complemented
15#25155C211yesmaximal, characteristic, complemented
16#25115C211yesmaximal, characteristic, complemented
17#25112C211yesmaximal, characteristic, complemented
18#25088C211yesmaximal, characteristic, complemented
19#25083C211yesmaximal, characteristic, complemented
20#24437C211yesmaximal, characteristic, complemented
21#24425C211yesmaximal, characteristic, complemented
22#24383C211yesmaximal, characteristic, complemented
23#24379C211yesmaximal, characteristic, complemented
24#24362C211yesmaximal, characteristic, complemented
25#24357C211yesmaximal, characteristic, complemented
26#23858C211yesmaximal, characteristic, complemented
27#23850C211yesmaximal, characteristic, complemented
28#23848C211yesmaximal, characteristic, complemented
29#22877C211yesmaximal, characteristic, complemented
30#22875C211yesmaximal, characteristic, complemented
31#22842C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic, complemented
33C22×#135C2211yescharacteristic, complemented
34C22×#135C2211yescharacteristic, complemented
35C23×SD16C2211yescharacteristic
36C23×SD16C2211yescharacteristic, complemented
37C23×D8C2211yescharacteristic
38C2×D4×Q8C2211yescharacteristic
39C2×#548C2211yescharacteristic, complemented
40C2×#548C2211yescharacteristic, complemented
41C2×#546C2211yescharacteristic, complemented
42C2×D42C2211yescharacteristic
43C2×#525C2211yescharacteristic
44C22×#121C2211yescharacteristic
45#3282—28no—
46D4×SD16—28no—
47C2×#495C2211yescharacteristic, complemented
48C2×#495C2211yescharacteristic, complemented
49C2×#492C2211yescharacteristic, complemented
50C2×#467C2211yescharacteristic, complemented
51C2×#465C2211yescharacteristic
52C2×#465C2211yescharacteristic, complemented
53C2×#465C2211yescharacteristic, complemented
54C2×#465C2211yescharacteristic, complemented
55C2×#465C2211yescharacteristic, complemented
56C2×#464C2211yescharacteristic, complemented
57C2×#464C2211yescharacteristic, complemented
58C2×#460C2211yescharacteristic, complemented
59C2×#463C2211yescharacteristic, complemented
60C2×#461C2211yescharacteristic, complemented
61#3002—28no—
62C2×#452C2211yescharacteristic, complemented
63C2×#452C2211yescharacteristic, complemented
64C2×#452C2211yescharacteristic, complemented
65C2×#449—28no—
66C2×#449C2211yescharacteristic
67C2×#449C2211yescharacteristic
68C2×#449C2211yescharacteristic
69C2×#449C2211yescharacteristic
70C2×#449C2211yescharacteristic, complemented
71C2×#449C2211yescharacteristic, complemented
72C2×#449C2211yescharacteristic, complemented
73C2×#449C2211yescharacteristic, complemented
74C2×#449C2211yescharacteristic, complemented
75C2×#449C2211yescharacteristic, complemented
76C2×#451C2211yescharacteristic, complemented
77C2×#451C2211yescharacteristic, complemented
78C2×#448C2211yescharacteristic
79C2×#448C2211yescharacteristic, complemented
80C2×#450C2211yescharacteristic
81C2×#450C2211yescharacteristic, complemented
82C2×#450C2211yescharacteristic, complemented
83C2×#447C2211yescharacteristic
84C2×#447C2211yescharacteristic, complemented
85C2×#447C2211yescharacteristic, complemented
86C2×C4×SD16C2211yescharacteristic, complemented
87C2×C4×SD16C2211yescharacteristic, complemented
88C2×C8×D4C2211yescharacteristic
89C2×C8×D4C2211yescharacteristic, complemented
90C2×#416C2211yescharacteristic, complemented
91C2×#416C2211yescharacteristic, complemented
92C22×#103C2211yescharacteristic, complemented
93C22×#102C2211yescharacteristic, complemented
94C22×C22⋊C8C2211yescharacteristic, complemented
95C22×C22⋊C8C2211yescharacteristic, complemented
96#2848—21no—
97#2848C2211yescharacteristic, complemented
98#2678—21no—
99#2671—21no—
100#2540C2211yescharacteristic, complemented
101#2464—21no—
102#2435—21no—
103#2435C2211yescharacteristic
104#2435C2211yescharacteristic, complemented
105#2432—21no—
106#2432—21no—
107#2432C2211yescharacteristic, complemented
108#2432C2211yescharacteristic, complemented
109#2431C2211yescharacteristic, complemented
110#2428C2211yescharacteristic, complemented
111#2427C2211yescharacteristic, complemented
112#2424—21no—
113#2418—21no—
114#2417C2211yescharacteristic
115#2414C2211yescharacteristic, complemented
116#2408—21no—
117#2408—21no—
118#2408C2211yescharacteristic
119#2408C2211yescharacteristic, complemented
120#2407—21no—
121#2407—21no—
122#2407C2211yescharacteristic, complemented
123#2407C2211yescharacteristic, complemented
124#2403—21no—
125#2363C2211yescharacteristic, complemented
126#2361C2211yescharacteristic
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#2055C2211yescharacteristic, complemented
136#2055C2211yescharacteristic, complemented
137#2055C2211yescharacteristic, complemented
138#2054C2211yescharacteristic, complemented
139#2043C2211yescharacteristic, complemented
140#2042C2211yescharacteristic, complemented
141#2036C2211yescharacteristic, complemented
142#2035C2211yescharacteristic, complemented
143#2034C2211yescharacteristic, complemented
144#2034C2211yescharacteristic, complemented
145#2034C2211yescharacteristic, complemented
146#2033C2211yescharacteristic, complemented
147#2016C2211yescharacteristic, complemented
148#2015C2211yescharacteristic, complemented
149#2015C2211yescharacteristic, complemented
150#2012C2211yescharacteristic, complemented
151#2012C2211yescharacteristic, complemented
152#2012C2211yescharacteristic, complemented
153#2012C2211yescharacteristic, complemented
154#2012C2211yescharacteristic, complemented
155#2011C2211yescharacteristic, complemented
156#2011C2211yescharacteristic, complemented
157#2001C2211yescharacteristic, complemented
158#2001C2211yescharacteristic, complemented
159#2000C2211yescharacteristic, complemented
160#2000C2211yescharacteristic, complemented
161#2000C2211yescharacteristic, complemented
162#2000C2211yescharacteristic, complemented
163#1999C2211yescharacteristic, complemented
164#1999C2211yescharacteristic, complemented
165#1983C2211yescharacteristic, complemented
166#1970C2211yescharacteristic, complemented
167#1970C2211yescharacteristic, complemented
168#1968C2211yescharacteristic, complemented
169#1968C2211yescharacteristic, complemented
170#1954C2211yescharacteristic, complemented
171#1934C2211yescharacteristic, complemented
172#1933C2211yescharacteristic, complemented
173#1927C2211yescharacteristic, complemented
174#1926C2211yescharacteristic, complemented
175#1923C2211yescharacteristic, complemented
176#1923C2211yescharacteristic, complemented
177#1893C2211yescharacteristic
178#1893C2211yescharacteristic, complemented
179#1893C2211yescharacteristic, complemented
180#1893C2211yescharacteristic, complemented
181#1892C2211yescharacteristic, 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#1873C2211yescharacteristic, complemented
191#1872C2211yescharacteristic, complemented
192#1869C2211yescharacteristic
193#1869C2211yescharacteristic, complemented
194#1869C2211yescharacteristic, complemented
195#1865C2211yescharacteristic, complemented
196#1863C2211yescharacteristic, complemented
197#1854C2211yescharacteristic, complemented
198#1853C2211yescharacteristic, complemented
199#1850C2211yescharacteristic, complemented
200#1850C2211yescharacteristic, complemented
201#1788C2211yescharacteristic, complemented
202#1787C2211yescharacteristic, complemented
203#1786C2211yescharacteristic
204C4×#103C2211yescharacteristic, complemented
205C8×C22⋊C4C2211yescharacteristic, complemented
206C8×C22⋊C4C2211yescharacteristic, 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
220C23×Q8C2311yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×D4—21no—
223C23×D4—21no—
224C23×D4—21no—
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C24×C4—21no—
229C24×C4C2311yescharacteristic
230C2×#135—24no—
231C2×#135—24no—
232C2×#135—24no—
233C2×#135—42no—
234C2×#135—42no—
235C2×#135—42no—
236C22×Q16C2311yescharacteristic
237C22×Q16C2311yescharacteristic
238C22×Q16C2311yescharacteristic
239C22×SD16—24no—
240C22×SD16—24no—
241C22×SD16—24no—
242C22×SD16—24no—
243C22×SD16—42no—
244C22×SD16—42no—
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
265C23×C8C2311yescharacteristic
266C23×C8C2311yescharacteristic
267C23×C8C2311yescharacteristic
268C23×C8C2311yescharacteristic
269C23×C8C2311yescharacteristic
270D4×Q8—24no—
271D4×Q8—42no—
272#548—24no—
273#548—42no—
274#548—42no—
275#548—42no—
276#546—24no—
277#546—42no—
278D42—24no—
279D42—42no—
280C2×C4⋊Q8—21no—
281C2×C4⋊Q8C2311yescharacteristic
282C2×#127C2311yescharacteristic
283C2×#124—21no—
284C2×#124—21no—
285C2×#124C2311yescharacteristic
286C2×#124C2311yescharacteristic
287C2×#124C2311yescharacteristic
288C2×#124C2311yescharacteristic
289#525—24no—
290#525—42no—
291C2×#123—21no—
292C2×#123—21no—
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×C22⋊Q8C2311yescharacteristic
302C2×C22⋊Q8C2311yescharacteristic
303C2×C22⋊Q8C2311yescharacteristic
304C2×#121—21no—
305C2×#121—21no—
306C2×#121—21no—
307C2×#121—21no—
308C2×#121—21no—
309C2×#121—21no—
310C2×#121—21no—
311C2×#121—24no—
312C2×#121—42no—
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×#120D411yescharacteristic
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2311yescharacteristic
332C2×C4×D4—21no—
333C2×C4×D4—21no—
334C2×C4×D4—21no—
335C2×C4×D4—21no—
336C2×C4×D4—21no—
337C2×C4×D4—21no—
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2311yescharacteristic
343C2×#117C2311yescharacteristic
344C22×C4⋊C4C2311yescharacteristic
345C22×C22⋊C4—21no—
346C22×C22⋊C4—21no—
347#495—24no—
348#495—42no—
349#492—24no—
350#467—42no—
351#465—24no—
352#465—24no—
353#465—24no—
354#465—24no—
355#465—42no—
356#464—24no—
357#464—42no—
358#463—24no—
359#461—24no—
360#460—24no—
361#452—24no—
362#452—24no—
363#452—24no—
364#451—24no—
365#451—24no—
366#450—24no—
367#450—24no—
368#450—24no—
369#449—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#449D418yescomplemented
379#448—24no—
380#448D418yescomplemented
381#447—24no—
382#447—24no—
383#447—42no—
384C4×SD16—24no—
385C4×SD16—24no—
386C8×D4—24no—
387C8×D4—24no—
388C2×#107C2311yescharacteristic
389C2×#106C2311yescharacteristic
390C2×#106C2311yescharacteristic
391C2×#106C2311yescharacteristic
392C2×C4⋊C8C2311yescharacteristic
393C2×C4⋊C8C2311yescharacteristic
394C2×C4⋊C8C2311yescharacteristic
395#416—24no—
396#416—24no—
397C2×#103—24no—
398C2×#103C2311yescharacteristic
399C2×#103C2311yescharacteristic
400C2×#103C2311yescharacteristic
401C2×#103C2311yescharacteristic
402C2×#103C2311yescharacteristic
403C2×#103C2311yescharacteristic
404C2×#103C2311yescharacteristic
405C2×#103C2311yescharacteristic
406C2×#103C2311yescharacteristic
407C2×#103C2311yescharacteristic
408C2×#103C2311yescharacteristic
409C2×#103C2311yescharacteristic
410C2×#103C2311yescharacteristic
411C2×#103C2311yescharacteristic
412C2×#103C2311yescharacteristic
413C2×#102—24no—
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×C22⋊C8—24no—
432C2×C22⋊C8—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×C4×C8C2311yescharacteristic
445C2×C4×C8C2311yescharacteristic
446C2×C4×C8C2311yescharacteristic
447#399—21no—
448#398—21no—
449#397—21no—
450#396—21no—
451#394—21no—
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#394—21no—
463#394—21no—
464#394—21no—
465#394—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#391—21no—
476#391—21no—
477#391C2311yescharacteristic
478#391C2311yescharacteristic
479#391C2311yescharacteristic
480#390—21no—
481#390—21no—
482#390—21no—
483#390—21no—
484#390—21no—
485#390—21no—
486#390—21no—
487#390—21no—
488#390C2311yescharacteristic
489#390C2311yescharacteristic
490#390C2311yescharacteristic
491#390C2311yescharacteristic
492#390C2311yescharacteristic
493#390C2311yescharacteristic
494#390C2311yescharacteristic
495#389C2311yescharacteristic
496#389C2311yescharacteristic
497#388—21no—
498#388—21no—
499#388—21no—
500#386—21no—
501#386—21no—
502#386—21no—
503#386—21no—
504#386—21no—
505#386—21no—
506#386—21no—
507#386—21no—
508#386—21no—
509#386D411yescharacteristic
510#386D411yescharacteristic
511#386D411yescharacteristic
512#385—21no—
513#385—21no—
514#385—21no—
515#385—21no—
516#385—21no—
517#385—21no—
518#385—21no—
519#385—21no—
520#385—21no—
521#385—21no—
522#385D411yescharacteristic
523#385D411yescharacteristic
524#385D411yescharacteristic
525#380—21no—
526#380—21no—
527#380—21no—
528#380—21no—
529#380—21no—
530#380C2311yescharacteristic
531#380C2311yescharacteristic
532#380C2311yescharacteristic
533#380C2311yescharacteristic
534#379—21no—
535#379—21no—
536#379—21no—
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—44no—
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—41no—
595C2×#41—41no—
596C2×#41—44no—
597C2×#41—44no—
598C2×#41—44no—
599C2×#41—44no—
600C2×#41—41no—
601C2×#41—41no—
602C2×#41—44no—
603C2×#41—416no—
604C2×#41—416no—
605C2×#41—416no—
606C2×#41—416no—
607C2×#41C2×D414yescomplemented
608C22×Q8—21no—
609C22×Q8—21no—
610C22×Q8—22no—
611C22×Q8—22no—
612C22×Q8—22no—
613C22×Q8—22no—
614C22×Q8—22no—
615C22×Q8—22no—
616C22×Q8—41no—
617C22×Q8—41no—
618C22×Q8—41no—
619C22×Q8—41no—
620C22×Q8—41no—
621C22×Q8C2×D414yes—
622C22×Q8C2411yescharacteristic
623C22×Q8C2411yescharacteristic
624C22×Q8C2411yescharacteristic
625C22×Q8C2411yescharacteristic
626C22×D4—22no—
627C22×D4—22no—
628C22×D4—21no—
629C22×D4—21no—
630C22×D4—21no—
631C22×D4—21no—
632C22×D4—22no—
633C22×D4—22no—
634C22×D4—22no—
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—22no—
646C22×D4—22no—
647C22×D4—21no—
648C22×D4—21no—
649C22×D4—21no—
650C22×D4—21no—
651C22×D4—21no—
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—44no—
664C22×D4—44no—
665C22×D4—44no—
666C22×D4—44no—
667C22×D4—44no—
668C22×D4—44no—
669C22×D4—82no—
670C22×D4—82no—
671C22×D4—82no—
672C22×D4C2×D411yescharacteristic
673C22×D4C2×D411yescharacteristic
674C22×D4C2×D411yescharacteristic
675C22×D4C2411yescharacteristic
676C22×D4C2411yescharacteristic
677C22×D4C2411yescharacteristic
678C22×D4C2411yescharacteristic
679C22×D4C2411yescharacteristic
680C23×C4—21no—
681C23×C4—21no—
682C23×C4—21no—
683C23×C4—22no—
684C23×C4—22no—
685C23×C4—22no—
686C23×C4—22no—
687C23×C4—21no—
688C23×C4—21no—
689C23×C4—21no—
690C23×C4—21no—
691C23×C4—21no—
692C23×C4—21no—
693C23×C4—21no—
694C23×C4—41no—
695C23×C4—41no—
696C23×C4—44no—
697C23×C4—44no—
698C23×C4—44no—
699C23×C4C2×D411yescharacteristic
700C23×C4C2×D411yescharacteristic
701C23×C4C2×D411yescharacteristic
702C23×C4C2411yescharacteristic
703C23×C4C2411yescharacteristic
704C23×C4C2411yescharacteristic
705C23×C4C2411yescharacteristic
706#135—416no—
707#135—416no—
708C2×Q16—22no—
709C2×Q16—22no—
710C2×Q16—22no—
711C2×Q16—22no—
712C2×Q16—22no—
713C2×Q16—41no—
714C2×Q16—41no—
715C2×Q16—41no—
716C2×Q16—41no—
717C2×SD16—22no—
718C2×SD16—22no—
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—22no—
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×SD16—416no—
749C2×SD16C2×D414yes—
750C2×SD16C2×D414yescomplemented
751C2×SD16C2×D414yescomplemented
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—41no—
762C2×D8—41no—
763C2×D8—41no—
764C2×D8—41no—
765C2×D8—41no—
766C2×D8—41no—
767C2×D8—41no—
768C2×D8—41no—
769C2×D8—416no—
770C2×D8C2×D414yes—
771C22×C8—22no—
772C22×C8—22no—
773C22×C8—22no—
774C22×C8—22no—
775C22×C8—22no—
776C22×C8—22no—
777C22×C8—22no—
778C22×C8—22no—
779C22×C8—22no—
780C22×C8—22no—
781C22×C8—41no—
782C22×C8—41no—
783C22×C8—41no—
784C22×C8—41no—
785C22×C8—41no—
786C22×C8C2411yescharacteristic
787C22×C8C2411yescharacteristic
788C22×C8C2411yescharacteristic
789C22×C8C2411yescharacteristic
790C22×C8C2411yescharacteristic
791C22×C8C2411yescharacteristic
792C22×C8C2411yescharacteristic
793C22×C8C2411yescharacteristic
794C4⋊Q8—22no—
795C4⋊Q8—41no—
796C4⋊Q8—44no—
797#127—22no—
798#127—41no—
799#124—22no—
800#124—22no—
801#124—22no—
802#124—41no—
803#124—41no—
804#124—41no—
805#124—41no—
806#124—41no—
807#124—44no—
808#124—44no—
809#123—44no—
810#123—44no—
811C22⋊Q8—22no—
812C22⋊Q8—22no—
813C22⋊Q8—22no—
814C22⋊Q8—22no—
815C22⋊Q8—22no—
816C22⋊Q8—22no—
817C22⋊Q8—22no—
818C22⋊Q8—22no—
819C22⋊Q8—22no—
820C22⋊Q8—44no—
821C22⋊Q8—44no—
822C22⋊Q8—41no—
823C22⋊Q8—41no—
824C22⋊Q8—41no—
825C22⋊Q8—41no—
826C22⋊Q8—41no—
827C22⋊Q8—44no—
828C22⋊Q8—44no—
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—44no—
840#121—44no—
841#121—44no—
842#121—41no—
843#121—41no—
844#121—41no—
845#121—41no—
846#121—41no—
847#121—41no—
848#121—44no—
849#121—44no—
850#121—44no—
851#121—82no—
852#121C2×D414yes—
853#121C2×D414yes—
854#120—24no—
855#120—44no—
856#120—44no—
857#120—44no—
858#120—44no—
859#120—44no—
860#120—82no—
861C4×Q8—22no—
862C4×Q8—22no—
863C4×Q8—22no—
864C4×Q8—41no—
865C4×Q8—41no—
866C4×Q8—41no—
867C4×D4—22no—
868C4×D4—22no—
869C4×D4—22no—
870C4×D4—22no—
871C4×D4—22no—
872C4×D4—22no—
873C4×D4—41no—
874C4×D4—41no—
875C4×D4—41no—
876C4×D4—41no—
877C4×D4—44no—
878C4×D4—44no—
879C4×D4—44no—
880C4×D4—44no—
881C4×D4—44no—
882C4×D4—82no—
883#117—22no—
884#117—41no—
885C2×C4⋊C4—22no—
886C2×C4⋊C4—21no—
887C2×C4⋊C4—21no—
888C2×C4⋊C4—21no—
889C2×C4⋊C4—21no—
890C2×C4⋊C4—21no—
891C2×C4⋊C4—21no—
892C2×C4⋊C4—21no—
893C2×C4⋊C4—21no—
894C2×C4⋊C4—21no—
895C2×C4⋊C4—21no—
896C2×C4⋊C4—21no—
897C2×C4⋊C4—21no—
898C2×C4⋊C4—21no—
899C2×C4⋊C4—21no—
900C2×C4⋊C4—21no—
901C2×C4⋊C4—41no—
902C2×C4⋊C4C2×D411yescharacteristic
903C2×C4⋊C4C2×D411yescharacteristic
904C2×C4⋊C4C2×D411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
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—21no—
955C2×C22⋊C4—21no—
956C2×C22⋊C4—21no—
957C2×C22⋊C4—44no—
958C2×C22⋊C4—44no—
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×C22⋊C4C2×D411yescharacteristic
971C2×C42—21no—
972C2×C42—21no—
973C2×C42—21no—
974C2×C42—21no—
975C2×C42—21no—
976C2×C42C2411yescharacteristic
977C2×C42C2411yescharacteristic
978C2×C42C2411yescharacteristic
979#107—41no—
980#106—22no—
981#106—22no—
982#106—41no—
983C4⋊C8—22no—
984C4⋊C8—22no—
985C4⋊C8—41no—
986#103—22no—
987#103—22no—
988#103—22no—
989#103—22no—
990#103—22no—
991#103—22no—
992#103—22no—
993#103—22no—
994#103—41no—
995#103—41no—
996#103—41no—
997#103—41no—
998#103C2×D414yescomplemented
999#103C2×D414yescomplemented
1000#103C2×D414yescomplemented
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—41no—
1014#102—41no—
1015#102—41no—
1016#102—41no—
1017#102C2×D414yescomplemented
1018C22⋊C8—22no—
1019C22⋊C8—22no—
1020C22⋊C8—22no—
1021C22⋊C8—22no—
1022C22⋊C8—22no—
1023C22⋊C8—22no—
1024C22⋊C8—22no—
1025C22⋊C8—22no—
1026C22⋊C8—41no—
1027C22⋊C8C2×D414yes—
1028C22⋊C8C2×D414yescomplemented
1029C4×C8—22no—
1030C4×C8—22no—
1031C4×C8—41no—
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—22no—
1052C24—21no—
1053C24—21no—
1054C24—21no—
1055C24—21no—
1056C24—22no—
1057C24—22no—
1058C24—22no—
1059C24—21no—
1060C24—41no—
1061C24—41no—
1062C24—41no—
1063C24—42no—
1064C24—42no—
1065C24—42no—
1066C24—42no—
1067C24—42no—
1068C24—42no—
1069C24—42no—
1070C24—42no—
1071C24—42no—
1072C24—42no—
1073C24—42no—
1074C24—42no—
1075C24—81no—
1076C24—81no—
1077C24—81no—
1078C24—81no—
1079C24—81no—
1080C24—81no—
1081C24—81no—
1082C24—81no—
1083C24—81no—
1084C24C22×D411yescharacteristic
1085C24C22×D411yescharacteristic
1086C24C22×D411yescharacteristic
1087C24C22×D411yescharacteristic
1088#41—28no—
1089#41—28no—
1090#41—44no—
1091#41—44no—
1092#41—44no—
1093#41—44no—
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—432no—
1105#41—432no—
1106#41—44no—
1107#41—44no—
1108#41—82no—
1109#41—82no—
1110C2×Q8—24no—
1111C2×Q8—21no—
1112C2×Q8—21no—
1113C2×Q8—21no—
1114C2×Q8—21no—
1115C2×Q8—28no—
1116C2×Q8—21no—
1117C2×Q8—21no—
1118C2×Q8—21no—
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—42no—
1133C2×Q8—42no—
1134C2×Q8—42no—
1135C2×Q8—42no—
1136C2×Q8—42no—
1137C2×Q8—44no—
1138C2×Q8—44no—
1139C2×Q8—44no—
1140C2×Q8—44no—
1141C2×Q8—82no—
1142C2×Q8—82no—
1143C2×Q8—82no—
1144C2×Q8C22×D412yes—
1145C2×Q8C22×D412yes—
1146C2×Q8C22×D412yes—
1147C2×Q8H(5,𝔽2)12yes—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—28no—
1151C2×D4—24no—
1152C2×D4—22no—
1153C2×D4—24no—
1154C2×D4—24no—
1155C2×D4—22no—
1156C2×D4—24no—
1157C2×D4—22no—
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—21no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—41no—
1189C2×D4—42no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—44no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—44no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—432no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—82no—
1232C2×D4—82no—
1233C2×D4—81no—
1234C2×D4—81no—
1235C2×D4—81no—
1236C2×D4—81no—
1237C2×D4—81no—
1238C2×D4—82no—
1239C2×D4—82no—
1240C2×D4—82no—
1241C2×D4—81no—
1242C2×D4—81no—
1243C2×D4—81no—
1244C2×D4—81no—
1245C2×D4—81no—
1246C2×D4—81no—
1247C2×D4—81no—
1248C2×D4—81no—
1249C2×D4—81no—
1250C2×D4—81no—
1251C2×D4—81no—
1252C2×D4—816no—
1253C2×D4—816no—
1254C2×D4#13514yescomplemented
1255C2×D4C22×D412yes—
1256C2×D4C22×D412yes—
1257C2×D4C22×D412yes—
1258C2×D4H(5,𝔽2)12yes—
1259C22×C4—21no—
1260C22×C4—21no—
1261C22×C4—21no—
1262C22×C4—21no—
1263C22×C4—21no—
1264C22×C4—21no—
1265C22×C4—21no—
1266C22×C4—21no—
1267C22×C4—21no—
1268C22×C4—24no—
1269C22×C4—22no—
1270C22×C4—24no—
1271C22×C4—22no—
1272C22×C4—21no—
1273C22×C4—21no—
1274C22×C4—21no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—24no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—21no—
1281C22×C4—21no—
1282C22×C4—21no—
1283C22×C4—21no—
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—21no—
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4—21no—
1297C22×C4—21no—
1298C22×C4—21no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—42no—
1307C22×C4—42no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—42no—
1322C22×C4—42no—
1323C22×C4—42no—
1324C22×C4—432no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—42no—
1329C22×C4—81no—
1330C22×C4—81no—
1331C22×C4—81no—
1332C22×C4—81no—
1333C22×C4—81no—
1334C22×C4C22×D411yescharacteristic
1335C22×C4C22×D411yescharacteristic
1336C22×C4C22×D411yescharacteristic
1337C22×C4C22×D411yescharacteristic
1338C22×C4C22×D411yescharacteristic
1339C22×C4C22×D411yescharacteristic
1340C22×C4C22×D411yescharacteristic
1341C22×C4C22×D411yescharacteristic
1342C22×C4C22×D411yescharacteristic
1343C22×C4C22×D412yes—
1344C22×C4C22×D412yes—
1345C22×C4C22×D411yescharacteristic
1346C22×C4H(5,𝔽2)12yes—
1347C22×C4H(5,𝔽2)12yes—
1348C22×C4C2511yescharacteristic
1349Q16—44no—
1350Q16—44no—
1351Q16—82no—
1352SD16—28no—
1353SD16—28no—
1354SD16—44no—
1355SD16—44no—
1356SD16—44no—
1357SD16—44no—
1358SD16—44no—
1359SD16—44no—
1360SD16—44no—
1361SD16—44no—
1362SD16—82no—
1363D8—44no—
1364D8—44no—
1365D8—44no—
1366D8—44no—
1367D8—44no—
1368D8—44no—
1369C2×C8—21no—
1370C2×C8—21no—
1371C2×C8—21no—
1372C2×C8—21no—
1373C2×C8—21no—
1374C2×C8—21no—
1375C2×C8—21no—
1376C2×C8—21no—
1377C2×C8—21no—
1378C2×C8—21no—
1379C2×C8—21no—
1380C2×C8—21no—
1381C2×C8—21no—
1382C2×C8—21no—
1383C2×C8—21no—
1384C2×C8—21no—
1385C2×C8—21no—
1386C2×C8—21no—
1387C2×C8—21no—
1388C2×C8—21no—
1389C2×C8—44no—
1390C2×C8—44no—
1391C2×C8—44no—
1392C2×C8—44no—
1393C2×C8—44no—
1394C2×C8C22×D412yes—
1395C2×C8C22×D412yes—
1396C2×C8C22×D412yes—
1397C2×C8C22×D412yes—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—41no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—81no—
1427C4⋊C4—81no—
1428C4⋊C4C22×D412yes—
1429C4⋊C4C22×D412yes—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
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—81no—
1471C22⋊C4—81no—
1472C22⋊C4—81no—
1473C22⋊C4—81no—
1474C22⋊C4—81no—
1475C22⋊C4—81no—
1476C22⋊C4—81no—
1477C22⋊C4—81no—
1478C22⋊C4—81no—
1479C22⋊C4—81no—
1480C22⋊C4—81no—
1481C22⋊C4—81no—
1482C22⋊C4—81no—
1483C22⋊C4—81no—
1484C22⋊C4—81no—
1485C22⋊C4—81no—
1486C22⋊C4—81no—
1487C42—21no—
1488C42—21no—
1489C42—21no—
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—42no—
1494C42—42no—
1495C42—42no—
1496C42—42no—
1497C42—81no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—22no—
1523C23—21no—
1524C23—21no—
1525C23—44no—
1526C23—44no—
1527C23—44no—
1528C23—48no—
1529C23—41no—
1530C23—41no—
1531C23—41no—
1532C23—41no—
1533C23—41no—
1534C23—41no—
1535C23—41no—
1536C23—41no—
1537C23—41no—
1538C23—41no—
1539C23—41no—
1540C23—41no—
1541C23—41no—
1542C23—41no—
1543C23—41no—
1544C23—41no—
1545C23—44no—
1546C23—41no—
1547C23—41no—
1548C23—41no—
1549C23—41no—
1550C23—41no—
1551C23—41no—
1552C23—41no—
1553C23—41no—
1554C23—41no—
1555C23—41no—
1556C23—41no—
1557C23—41no—
1558C23—41no—
1559C23—41no—
1560C23—41no—
1561C23—82no—
1562C23—82no—
1563C23—82no—
1564C23—84no—
1565C23—84no—
1566C23—84no—
1567C23—84no—
1568C23—84no—
1569C23—84no—
1570C23—84no—
1571C23—84no—
1572C23—84no—
1573C23—84no—
1574C23—84no—
1575C23—84no—
1576C23—84no—
1577C23—162no—
1578C23—162no—
1579C23—162no—
1580C23—162no—
1581C23—162no—
1582C23—162no—
1583C23—162no—
1584C23D4212yes—
1585C23D4212yes—
1586C23C2×#13512yes—
1587C23C2×#13512yes—
1588C23#57712yes—
1589C23C23×D411yescharacteristic
1590Q8—22no—
1591Q8—22no—
1592Q8—22no—
1593Q8—22no—
1594Q8—22no—
1595Q8—48no—
1596Q8—41no—
1597Q8—41no—
1598Q8—41no—
1599Q8—41no—
1600Q8—41no—
1601Q8—41no—
1602Q8—41no—
1603Q8—41no—
1604Q8—41no—
1605Q8—41no—
1606Q8—84no—
1607Q8D4214yes—
1608D4—28no—
1609D4—22no—
1610D4—22no—
1611D4—22no—
1612D4—22no—
1613D4—22no—
1614D4—22no—
1615D4—22no—
1616D4—22no—
1617D4—48no—
1618D4—48no—
1619D4—48no—
1620D4—44no—
1621D4—48no—
1622D4—48no—
1623D4—48no—
1624D4—41no—
1625D4—41no—
1626D4—41no—
1627D4—41no—
1628D4—41no—
1629D4—41no—
1630D4—41no—
1631D4—41no—
1632D4—41no—
1633D4—41no—
1634D4—41no—
1635D4—41no—
1636D4—84no—
1637D4—84no—
1638D4—82no—
1639D4—84no—
1640D4—84no—
1641D4—84no—
1642D4—84no—
1643D4—84no—
1644D4—84no—
1645D4—84no—
1646D4—84no—
1647D4—84no—
1648D4—84no—
1649D4—162no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—21no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—44no—
1692C2×C4—48no—
1693C2×C4—44no—
1694C2×C4—44no—
1695C2×C4—48no—
1696C2×C4—48no—
1697C2×C4—48no—
1698C2×C4—48no—
1699C2×C4—41no—
1700C2×C4—41no—
1701C2×C4—41no—
1702C2×C4—41no—
1703C2×C4—41no—
1704C2×C4—41no—
1705C2×C4—41no—
1706C2×C4—41no—
1707C2×C4—41no—
1708C2×C4—41no—
1709C2×C4—41no—
1710C2×C4—41no—
1711C2×C4—41no—
1712C2×C4—41no—
1713C2×C4—41no—
1714C2×C4—41no—
1715C2×C4—41no—
1716C2×C4—41no—
1717C2×C4—41no—
1718C2×C4—41no—
1719C2×C4—41no—
1720C2×C4—41no—
1721C2×C4—41no—
1722C2×C4—41no—
1723C2×C4—41no—
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—84no—
1735C2×C4—84no—
1736C2×C4—84no—
1737C2×C4—84no—
1738C2×C4—162no—
1739C2×C4D4212yes—
1740C2×C4D4212yes—
1741C2×C4C2×#13512yes—
1742C2×C4C23×D411yescharacteristic
1743C2×C4C23×D411yescharacteristic
1744C2×C4C2×H(5,𝔽2)11yescharacteristic
1745C2×C4C2×H(5,𝔽2)11yescharacteristic
1746C2×C4C2×H(5,𝔽2)11yescharacteristic
1747C2×C4C2×H(5,𝔽2)11yescharacteristic
1748C8—22no—
1749C8—22no—
1750C8—22no—
1751C8—22no—
1752C8—41no—
1753C8—41no—
1754C8—41no—
1755C8—41no—
1756C22—22no—
1757C22—22no—
1758C22—22no—
1759C22—22no—
1760C22—22no—
1761C22—22no—
1762C22—22no—
1763C22—22no—
1764C22—22no—
1765C22—22no—
1766C22—22no—
1767C22—22no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—42no—
1777C22—42no—
1778C22—41no—
1779C22—42no—
1780C22—42no—
1781C22—42no—
1782C22—41no—
1783C22—42no—
1784C22—41no—
1785C22—42no—
1786C22—41no—
1787C22—42no—
1788C22—41no—
1789C22—42no—
1790C22—42no—
1791C22—41no—
1792C22—42no—
1793C22—41no—
1794C22—42no—
1795C22—88no—
1796C22—816no—
1797C22—81no—
1798C22—81no—
1799C22—81no—
1800C22—81no—
1801C22—81no—
1802C22—81no—
1803C22—81no—
1804C22—81no—
1805C22—81no—
1806C22—81no—
1807C22—81no—
1808C22—81no—
1809C22—81no—
1810C22—81no—
1811C22—81no—
1812C22—81no—
1813C22—81no—
1814C22—81no—
1815C22—81no—
1816C22—81no—
1817C22—81no—
1818C22—81no—
1819C22—81no—
1820C22—168no—
1821C22—168no—
1822C22#328214yescomplemented
1823C22C2×D4211yescharacteristic
1824C22C2×D4211yescharacteristic
1825C22#348411yescharacteristic
1826C22C22×#13511yescharacteristic
1827C22C2×#57711yescharacteristic
1828C22#358411yescharacteristic
1829C22#358511yescharacteristic
1830C4—22no—
1831C4—22no—
1832C4—24no—
1833C4—22no—
1834C4—41no—
1835C4—41no—
1836C4—42no—
1837C4—42no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—42no—
1842C4—41no—
1843C4—41no—
1844C4—81no—
1845C4—81no—
1846C4—81no—
1847C4—81no—
1848C4—81no—
1849C4—81no—
1850C4—81no—
1851C4C2×D4211yescharacteristic
1852C4#348411yescharacteristic
1853C4#348411yescharacteristic
1854C4#353211yescharacteristic
1855C2—24no—
1856C2—42no—
1857C2—42no—
1858C2—81no—
1859C2—82no—
1860C2—82no—
1861C2—82no—
1862C2—82no—
1863C2—161no—
1864C2#5899011yescharacteristic
1865C2C2×#328211yescharacteristic
1866C2D4×#13511yescharacteristic
1867C2#6107111yescharacteristic
1868C2#6107711yescharacteristic
1869C2#6156711yescharacteristic
1870C2#6164111yescharacteristic
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×#3282C2semidirect
2. C2×D4×SD16C2semidirect
3. C2×#3002C2semidirect
4. C22×#449C2semidirect
5. #59004C2semidirect
6. #36428C2semidirect
7. #31057C2semidirect
8. #30503C2semidirect
9. #30455C2semidirect
10. #30454C2semidirect
11. #25781C2semidirect
12. #25775C2semidirect
13. #25761C2semidirect
14. #25159C2semidirect
15. #25155C2semidirect
16. #25115C2semidirect
17. #25112C2semidirect
18. #25088C2semidirect
19. #25083C2semidirect
20. #24437C2semidirect
21. #24425C2semidirect
22. #24383C2semidirect
23. #24379C2semidirect
24. #24362C2semidirect
25. #24357C2semidirect
26. #23858C2semidirect
27. #23850C2semidirect
28. #23848C2semidirect
29. #22877C2semidirect
30. #22875C2semidirect
31. #22842C2semidirect
32. C23×#41C22semidirect
33. C22×#135C22semidirect
34. C22×#135C22semidirect
36. C23×SD16C22semidirect
39. C2×#548C22semidirect
40. C2×#548C22semidirect
41. C2×#546C22semidirect
47. C2×#495C22semidirect
48. C2×#495C22semidirect
49. C2×#492C22semidirect
50. C2×#467C22semidirect
52. C2×#465C22semidirect
53. C2×#465C22semidirect
54. C2×#465C22semidirect
55. C2×#465C22semidirect
56. C2×#464C22semidirect
57. C2×#464C22semidirect
58. C2×#460C22semidirect
59. C2×#463C22semidirect
60. C2×#461C22semidirect
62. C2×#452C22semidirect
63. C2×#452C22semidirect
64. C2×#452C22semidirect
70. C2×#449C22semidirect
71. C2×#449C22semidirect
72. C2×#449C22semidirect
73. C2×#449C22semidirect
74. C2×#449C22semidirect
75. C2×#449C22semidirect
76. C2×#451C22semidirect
77. C2×#451C22semidirect
79. C2×#448C22semidirect
81. C2×#450C22semidirect
82. C2×#450C22semidirect
84. C2×#447C22semidirect
85. C2×#447C22semidirect
86. C2×C4×SD16C22semidirect
87. C2×C4×SD16C22semidirect
89. C2×C8×D4C22semidirect
90. C2×#416C22semidirect
91. C2×#416C22semidirect
92. C22×#103C22semidirect
93. C22×#102C22semidirect
94. C22×C22⋊C8C22semidirect
95. C22×C22⋊C8C22semidirect
97. #2848C22semidirect
100. #2540C22semidirect
104. #2435C22semidirect
107. #2432C22semidirect
108. #2432C22semidirect
109. #2431C22semidirect
110. #2428C22semidirect
111. #2427C22semidirect
115. #2414C22semidirect
119. #2408C22semidirect
122. #2407C22semidirect
123. #2407C22semidirect
125. #2363C22semidirect
127. #2341C22semidirect
128. #2341C22semidirect
129. Q8×C22⋊C4C22semidirect
133. #2065C22semidirect
134. #2065C22semidirect
135. #2055C22semidirect
136. #2055C22semidirect
137. #2055C22semidirect
138. #2054C22semidirect
139. #2043C22semidirect
140. #2042C22semidirect
141. #2036C22semidirect
142. #2035C22semidirect
143. #2034C22semidirect
144. #2034C22semidirect
145. #2034C22semidirect
146. #2033C22semidirect
147. #2016C22semidirect
148. #2015C22semidirect
149. #2015C22semidirect
150. #2012C22semidirect
151. #2012C22semidirect
152. #2012C22semidirect
153. #2012C22semidirect
154. #2012C22semidirect
155. #2011C22semidirect
156. #2011C22semidirect
157. #2001C22semidirect
158. #2001C22semidirect
159. #2000C22semidirect
160. #2000C22semidirect
161. #2000C22semidirect
162. #2000C22semidirect
163. #1999C22semidirect
164. #1999C22semidirect
165. #1983C22semidirect
166. #1970C22semidirect
167. #1970C22semidirect
168. #1968C22semidirect
169. #1968C22semidirect
170. #1954C22semidirect
171. #1934C22semidirect
172. #1933C22semidirect
173. #1927C22semidirect
174. #1926C22semidirect
175. #1923C22semidirect
176. #1923C22semidirect
178. #1893C22semidirect
179. #1893C22semidirect
180. #1893C22semidirect
181. #1892C22semidirect
182. #1880C22semidirect
183. #1880C22semidirect
184. #1880C22semidirect
185. #1879C22semidirect
186. #1879C22semidirect
187. #1879C22semidirect
188. #1878C22semidirect
189. #1877C22semidirect
190. #1873C22semidirect
191. #1872C22semidirect
193. #1869C22semidirect
194. #1869C22semidirect
195. #1865C22semidirect
196. #1863C22semidirect
197. #1854C22semidirect
198. #1853C22semidirect
199. #1850C22semidirect
200. #1850C22semidirect
201. #1788C22semidirect
202. #1787C22semidirect
204. C4×#103C22semidirect
205. C8×C22⋊C4C22semidirect
206. C8×C22⋊C4C22semidirect
378. #449D4semidirect
380. #448D4semidirect
607. C2×#41C2×D4semidirect
750. C2×SD16C2×D4semidirect
751. C2×SD16C2×D4semidirect
998. #103C2×D4semidirect
999. #103C2×D4semidirect
1000. #103C2×D4semidirect
1017. #102C2×D4semidirect
1028. C22⋊C8C2×D4semidirect
1254. C2×D4#135semidirect
1822. C22#3282semidirect

Maximal subgroups

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

subgroupindex
C2×#32822
C2×D4×SD162
C2×#30022
C22×#4492
#590042
#364282
#310572
#305032
#304552
#304542
#257812
#257752
#257612
#251592
#251552
#251152
#251122
#250882
#250832
#244372
#244252
#243832
#243792
#243622
#243572
#238582
#238502
#238482
#228772
#228752
#228422