Finite Group Databasebeta

← #6683655

Subgroups — #6683655

Order 512.

2558 conjugacy classes of subgroups.

The subgroup lattice has 1740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3211C211yesmaximal, characteristic, complemented
2C2×#3155C211yesmaximal, characteristic, complemented
3#37751C211yesmaximal, characteristic, complemented
4#37677C211yesmaximal, characteristic, complemented
5#33047C211yesmaximal, characteristic, complemented
6#30763C211yesmaximal, characteristic, complemented
7#30750C211yesmaximal, characteristic, complemented
8#30746C211yesmaximal, characteristic, complemented
9#30735C211yesmaximal, characteristic, complemented
10#30472C211yesmaximal, characteristic, complemented
11#30461C211yesmaximal, characteristic, complemented
12#30457C211yesmaximal, characteristic, complemented
13#30444C211yesmaximal, characteristic, complemented
14#30270C211yesmaximal, characteristic, complemented
15#29806C211yesmaximal, characteristic, complemented
16#28630C211yesmaximal, characteristic, complemented
17#28452C211yesmaximal, characteristic, complemented
18#25867C211yesmaximal, characteristic, complemented
19#25736C211yesmaximal, characteristic, complemented
20#25731C211yesmaximal, characteristic, complemented
21#25605C211yesmaximal, characteristic, complemented
22#24371C211yesmaximal, characteristic, complemented
23#24366C211yesmaximal, characteristic, complemented
24#24362C211yesmaximal, characteristic, complemented
25#24355C211yesmaximal, characteristic, complemented
26#23866C211yesmaximal, characteristic, complemented
27#23860C211yesmaximal, characteristic, complemented
28#23854C211yesmaximal, characteristic, complemented
29#23848C211yesmaximal, characteristic, complemented
30#22274C211yesmaximal, characteristic, complemented
31#21109C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C22×#135C2211yescharacteristic, complemented
35C23×D8C2211yescharacteristic
36C2×#548C2211yescharacteristic
37C2×D42C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C2×#535C2211yescharacteristic, complemented
40C2×#529C2211yescharacteristic, complemented
41C22×#124C2211yescharacteristic, complemented
42#3211—28no—
43#3155—28no—
44C2×#496C2211yescharacteristic
45C2×#496C2211yescharacteristic
46C2×#496C2211yescharacteristic, complemented
47C2×#496C2211yescharacteristic, complemented
48C2×#496C2211yescharacteristic, complemented
49C2×#495C2211yescharacteristic
50C2×#495C2211yescharacteristic, complemented
51C2×#495C2211yescharacteristic, complemented
52C2×#493C2211yescharacteristic
53C2×#493C2211yescharacteristic, complemented
54C2×#490C2211yescharacteristic, complemented
55C2×#488C2211yescharacteristic, complemented
56C2×#488C2211yescharacteristic, complemented
57C2×#464C2211yescharacteristic, complemented
58C2×#464C2211yescharacteristic, complemented
59C2×#464C2211yescharacteristic, complemented
60C2×#460C2211yescharacteristic, complemented
61C2×#463C2211yescharacteristic
62C2×#463C2211yescharacteristic, complemented
63C2×#463C2211yescharacteristic, complemented
64C2×#459C2211yescharacteristic, complemented
65C2×#452C2211yescharacteristic, complemented
66C2×#449C2211yescharacteristic
67C2×#451C2211yescharacteristic, complemented
68C2×#448C2211yescharacteristic, complemented
69C2×#448C2211yescharacteristic, complemented
70C2×#448C2211yescharacteristic, complemented
71C2×#450C2211yescharacteristic, complemented
72C2×#450C2211yescharacteristic, complemented
73C2×#447C2211yescharacteristic
74C2×#447C2211yescharacteristic
75C2×#447C2211yescharacteristic
76C2×#447C2211yescharacteristic, complemented
77C2×#431C2211yescharacteristic, complemented
78C2×#405C2211yescharacteristic, complemented
79#2856C2211yescharacteristic, complemented
80#2856C2211yescharacteristic, complemented
81#2691—21no—
82#2685—21no—
83#2678—21no—
84#2676—21no—
85#2676—21no—
86#2671—21no—
87#2670—21no—
88#2670—21no—
89#2657C2211yescharacteristic, complemented
90#2641C2211yescharacteristic, complemented
91#2629C2211yescharacteristic, complemented
92#2620C2211yescharacteristic
93#2548C2211yescharacteristic, complemented
94#2544C2211yescharacteristic, complemented
95#2476—21no—
96#2464—21no—
97#2448C2211yescharacteristic, complemented
98#2445C2211yescharacteristic, complemented
99#2436C2211yescharacteristic, complemented
100#2435C2211yescharacteristic
101#2433C2211yescharacteristic, complemented
102#2431C2211yescharacteristic
103#2428C2211yescharacteristic, complemented
104#2426C2211yescharacteristic, complemented
105#2424—21no—
106#2424—21no—
107#2424—21no—
108#2411—21no—
109#2410—21no—
110#2410—21no—
111#2408C2211yescharacteristic
112#2407C2211yescharacteristic
113#2341C2211yescharacteristic, complemented
114D4×C22⋊C4C2211yescharacteristic, complemented
115#2326C2211yescharacteristic, complemented
116#2326C2211yescharacteristic, complemented
117#2290C2211yescharacteristic
118#2055C2211yescharacteristic, complemented
119#2055C2211yescharacteristic, complemented
120#2054C2211yescharacteristic
121#2054C2211yescharacteristic, complemented
122#2054C2211yescharacteristic, complemented
123#2054C2211yescharacteristic, complemented
124#2054C2211yescharacteristic, complemented
125#2054C2211yescharacteristic, complemented
126#2042C2211yescharacteristic, complemented
127#2042C2211yescharacteristic, complemented
128#2041C2211yescharacteristic, complemented
129#2041C2211yescharacteristic, complemented
130#2015C2211yescharacteristic, complemented
131#2015C2211yescharacteristic, complemented
132#2014C2211yescharacteristic, complemented
133#2014C2211yescharacteristic, complemented
134#2012C2211yescharacteristic
135#2012C2211yescharacteristic, complemented
136#2012C2211yescharacteristic, complemented
137#2012C2211yescharacteristic, complemented
138#2012C2211yescharacteristic, complemented
139#2012C2211yescharacteristic, complemented
140#2012C2211yescharacteristic, complemented
141#2012C2211yescharacteristic, complemented
142#2012C2211yescharacteristic, complemented
143#2012C2211yescharacteristic, complemented
144#2011C2211yescharacteristic
145#2011C2211yescharacteristic
146#2011C2211yescharacteristic, complemented
147#2011C2211yescharacteristic, complemented
148#2011C2211yescharacteristic, complemented
149#2011C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#2000C2211yescharacteristic, complemented
152#1999C2211yescharacteristic
153#1999C2211yescharacteristic
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1999C2211yescharacteristic, complemented
157#1999C2211yescharacteristic, complemented
158#1992C2211yescharacteristic, complemented
159#1959C2211yescharacteristic, complemented
160#1959C2211yescharacteristic, complemented
161#1959C2211yescharacteristic, complemented
162#1957C2211yescharacteristic, complemented
163#1957C2211yescharacteristic, complemented
164#1936C2211yescharacteristic, complemented
165#1935C2211yescharacteristic, complemented
166#1934C2211yescharacteristic, complemented
167#1933C2211yescharacteristic, complemented
168#1924C2211yescharacteristic, complemented
169#1923C2211yescharacteristic, complemented
170#1917C2211yescharacteristic, complemented
171#1916C2211yescharacteristic, complemented
172#1895C2211yescharacteristic
173#1894C2211yescharacteristic, complemented
174#1893C2211yescharacteristic
175#1892C2211yescharacteristic, complemented
176#1880C2211yescharacteristic, complemented
177#1880C2211yescharacteristic, complemented
178#1880C2211yescharacteristic, complemented
179#1880C2211yescharacteristic, complemented
180#1880C2211yescharacteristic, complemented
181#1880C2211yescharacteristic, complemented
182#1879C2211yescharacteristic
183#1879C2211yescharacteristic
184#1879C2211yescharacteristic
185#1879C2211yescharacteristic, complemented
186#1879C2211yescharacteristic, complemented
187#1879C2211yescharacteristic, complemented
188#1878C2211yescharacteristic, complemented
189#1878C2211yescharacteristic, complemented
190#1877C2211yescharacteristic, complemented
191#1877C2211yescharacteristic, complemented
192#1870C2211yescharacteristic
193#1869C2211yescharacteristic
194#1851C2211yescharacteristic, complemented
195#1850C2211yescharacteristic, complemented
196#1834C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1786C2211yescharacteristic
200#1786C2211yescharacteristic
201#1768C2211yescharacteristic, complemented
202#1750C2211yescharacteristic, complemented
203#1749C2211yescharacteristic, complemented
204#1746C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×Q8C2311yescharacteristic
208C23×D4—21no—
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C2×AGL(1,ℤ/8)—24no—
213C2×AGL(1,ℤ/8)—24no—
214C2×AGL(1,ℤ/8)—42no—
215C2×AGL(1,ℤ/8)—42no—
216C2×AGL(1,ℤ/8)—42no—
217C2×AGL(1,ℤ/8)—42no—
218C2×#135—24no—
219C2×#135—42no—
220C2×#135—42no—
221C22×Q16C2311yescharacteristic
222C22×Q16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C22×SD16C2311yescharacteristic
229C22×SD16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×SD16C2311yescharacteristic
232C22×SD16C2311yescharacteristic
233C22×D8—24no—
234C22×D8—42no—
235C22×D8—42no—
236C22×D8C2311yescharacteristic
237C22×D8C2311yescharacteristic
238C22×D8C2311yescharacteristic
239C22×D8C2311yescharacteristic
240C22×D8C2311yescharacteristic
241C22×D8C2311yescharacteristic
242C22×D8C2311yescharacteristic
243C22×D8C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×D8C2311yescharacteristic
248C22×M16C2311yescharacteristic
249C23×C8C2311yescharacteristic
250#548—42no—
251#548—42no—
252D42—42no—
253D42—42no—
254#535—24no—
255#535—24no—
256#535—42no—
257#535—42no—
258C2×#127C2311yescharacteristic
259C2×#127C2311yescharacteristic
260C2×#127C2311yescharacteristic
261C2×#127C2311yescharacteristic
262C2×#127C2311yescharacteristic
263C2×#127C2311yescharacteristic
264#529—24no—
265#529—42no—
266C2×#126—21no—
267C2×#125C2311yescharacteristic
268C2×#124—21no—
269C2×#124—24no—
270C2×#124—21no—
271C2×#124—21no—
272C2×#124—42no—
273C2×#124C2311yescharacteristic
274C2×#124C2311yescharacteristic
275C2×#124C2311yescharacteristic
276C2×#124C2311yescharacteristic
277C2×#124C2311yescharacteristic
278C2×#124C2311yescharacteristic
279C2×#124C2311yescharacteristic
280C2×#124C2311yescharacteristic
281C2×#124C2311yescharacteristic
282C2×#123—21no—
283C2×#123—21no—
284C2×C22⋊Q8—21no—
285C2×C22⋊Q8C2311yescharacteristic
286C2×C22⋊Q8C2311yescharacteristic
287C2×#121—21no—
288C2×#121—21no—
289C2×#121—21no—
290C2×#121—21no—
291C2×#121—21no—
292C2×#121—21no—
293C2×#121—21no—
294C2×#121—21no—
295C2×#121—21no—
296C2×#121—21no—
297C2×#121—21no—
298C2×#121C2311yescharacteristic
299C2×#121C2311yescharacteristic
300C2×#121C2311yescharacteristic
301C2×#121C2311yescharacteristic
302C2×#121C2311yescharacteristic
303C2×#121C2311yescharacteristic
304C2×#120—21no—
305C2×#120—21no—
306C2×#120—21no—
307C2×#120—21no—
308C2×#120—21no—
309C2×#120—21no—
310C2×#120—21no—
311C2×#120—21no—
312C2×#120—21no—
313C2×C4×Q8C2311yescharacteristic
314C2×C4×Q8C2311yescharacteristic
315C2×C4×Q8C2311yescharacteristic
316C2×C4×D4—21no—
317C2×C4×D4—21no—
318C2×C4×D4C2311yescharacteristic
319C2×C4×D4C2311yescharacteristic
320C2×C4×D4C2311yescharacteristic
321C2×C4×D4C2311yescharacteristic
322C2×#117—21no—
323C2×#117C2311yescharacteristic
324C22×C22⋊C4—21no—
325C22×C22⋊C4—21no—
326C22×C22⋊C4—21no—
327C22×C42C2311yescharacteristic
328#496—24no—
329#496—24no—
330#496—24no—
331#496—24no—
332#496—42no—
333#495—24no—
334#495—24no—
335#495D418yescomplemented
336#493—24no—
337#493—24no—
338#490—42no—
339#488—24no—
340#488—24no—
341#464—24no—
342#464—24no—
343#464—42no—
344#463—24no—
345#463—24no—
346#463—42no—
347#460—42no—
348#459—42no—
349#452—42no—
350#451—24no—
351#450—24no—
352#450—42no—
353#449—42no—
354#448—24no—
355#448—42no—
356#448—42no—
357#447—24no—
358#447—42no—
359#447—42no—
360#447—42no—
361#431—24no—
362C2×C4⋊C8C2311yescharacteristic
363C2×C4⋊C8C2311yescharacteristic
364C2×C4⋊C8C2311yescharacteristic
365C2×C4⋊C8C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#103C2311yescharacteristic
372C2×#103C2311yescharacteristic
373C2×#103C2311yescharacteristic
374C2×#103C2311yescharacteristic
375C2×#103C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391C2×#102C2311yescharacteristic
392C2×#102C2311yescharacteristic
393C2×#102C2311yescharacteristic
394C2×#102C2311yescharacteristic
395C2×#102C2311yescharacteristic
396C2×#102C2311yescharacteristic
397C2×#102C2311yescharacteristic
398C2×C22⋊C8C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404#405—24no—
405C2×#97C2311yescharacteristic
406C2×#97C2311yescharacteristic
407C2×#97C2311yescharacteristic
408C2×C4×C8C2311yescharacteristic
409C2×C4×C8C2311yescharacteristic
410C2×C4×C8C2311yescharacteristic
411#399—21no—
412#398—21no—
413#398—21no—
414#397—21no—
415#396—21no—
416#396—21no—
417#396—21no—
418#396—21no—
419#396—21no—
420#394—21no—
421#394—21no—
422#394—21no—
423#394—21no—
424#394—21no—
425#394—21no—
426#394—21no—
427#394—21no—
428#394—21no—
429#394—21no—
430#394—21no—
431#394—21no—
432#394—21no—
433#394—21no—
434#394—21no—
435#394—21no—
436#394—21no—
437#394—21no—
438#393—21no—
439#393—21no—
440#392—21no—
441#392—21no—
442#392—21no—
443#392—21no—
444#392—21no—
445#392—21no—
446#392—21no—
447#392—21no—
448#392—21no—
449#392—21no—
450#392—21no—
451#391C2311yescharacteristic
452#391C2311yescharacteristic
453#391C2311yescharacteristic
454#390—21no—
455#390—21no—
456#390—21no—
457#390—21no—
458#390—21no—
459#390—21no—
460#390—21no—
461#390—21no—
462#390—21no—
463#390C2311yescharacteristic
464#390C2311yescharacteristic
465#390C2311yescharacteristic
466#390C2311yescharacteristic
467#390C2311yescharacteristic
468#390C2311yescharacteristic
469#390C2311yescharacteristic
470#390C2311yescharacteristic
471#390C2311yescharacteristic
472#390C2311yescharacteristic
473#390C2311yescharacteristic
474#389C2311yescharacteristic
475#389C2311yescharacteristic
476#388—21no—
477#388—21no—
478#388—21no—
479#388—21no—
480#388—21no—
481#388—21no—
482#388—21no—
483#388D411yescharacteristic
484#388D411yescharacteristic
485#387D411yescharacteristic
486#387D411yescharacteristic
487#386—21no—
488#386—21no—
489#386—21no—
490#386—21no—
491#386—21no—
492#386—21no—
493#386—21no—
494#386—21no—
495#386—21no—
496#386—21no—
497#386—21no—
498#386D411yescharacteristic
499#386D411yescharacteristic
500#385—21no—
501#385—21no—
502#385—21no—
503#385—21no—
504#385—21no—
505#385D411yescharacteristic
506#385D411yescharacteristic
507#384C2311yescharacteristic
508#384C2311yescharacteristic
509#380—21no—
510#380C2311yescharacteristic
511#380C2311yescharacteristic
512#379—21no—
513#379—21no—
514#379—21no—
515#379—21no—
516C4×C4⋊C4C2311yescharacteristic
517C4×C22⋊C4—21no—
518C4×C22⋊C4C2311yescharacteristic
519C4×C22⋊C4C2311yescharacteristic
520#376C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#336C2311yescharacteristic
530#336C2311yescharacteristic
531#336C2311yescharacteristic
532#336C2311yescharacteristic
533#336C2311yescharacteristic
534#336C2311yescharacteristic
535#336C2311yescharacteristic
536#336C2311yescharacteristic
537#336C2311yescharacteristic
538#336C2311yescharacteristic
539C25—21no—
540C25—21no—
541C25—21no—
542C2×#41—22no—
543C2×#41—22no—
544C2×#41—22no—
545C2×#41—22no—
546C2×#41—22no—
547C2×#41—22no—
548C2×#41—41no—
549C2×#41—41no—
550C2×#41—41no—
551C2×#41—41no—
552C2×#41—41no—
553C2×#41—41no—
554C22×Q8—21no—
555C22×Q8—22no—
556C22×Q8—41no—
557C22×Q8—41no—
558C22×Q8—41no—
559C22×Q8—41no—
560C22×Q8—41no—
561C22×Q8C2411yescharacteristic
562C22×Q8C2411yescharacteristic
563C22×Q8C2411yescharacteristic
564C22×D4—22no—
565C22×D4—22no—
566C22×D4—22no—
567C22×D4—21no—
568C22×D4—21no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—21no—
576C22×D4—21no—
577C22×D4—21no—
578C22×D4—21no—
579C22×D4—21no—
580C22×D4—21no—
581C22×D4—21no—
582C22×D4—21no—
583C22×D4—21no—
584C22×D4—21no—
585C22×D4—21no—
586C22×D4—21no—
587C22×D4—21no—
588C22×D4—21no—
589C22×D4—21no—
590C22×D4—22no—
591C22×D4—22no—
592C22×D4—22no—
593C22×D4—22no—
594C22×D4—41no—
595C22×D4—41no—
596C22×D4—41no—
597C22×D4—41no—
598C22×D4—41no—
599C22×D4—41no—
600C22×D4—41no—
601C22×D4—41no—
602C22×D4—41no—
603C22×D4—41no—
604C22×D4—41no—
605C22×D4—44no—
606C22×D4—82no—
607C22×D4—82no—
608C22×D4C2×D411yescharacteristic
609C22×D4C2411yescharacteristic
610C22×D4C2411yescharacteristic
611C22×D4C2411yescharacteristic
612C22×D4C2411yescharacteristic
613C22×D4C2411yescharacteristic
614C22×D4C2411yescharacteristic
615C22×D4C2411yescharacteristic
616C23×C4—21no—
617C23×C4—21no—
618C23×C4—21no—
619C23×C4—21no—
620C23×C4—21no—
621C23×C4—21no—
622C23×C4C2×D411yescharacteristic
623C23×C4C2×D411yescharacteristic
624C23×C4C2411yescharacteristic
625C23×C4C2411yescharacteristic
626AGL(1,ℤ/8)—416no—
627AGL(1,ℤ/8)—416no—
628#135—416no—
629C2×Q16—22no—
630C2×Q16—41no—
631C2×Q16—41no—
632C2×Q16—41no—
633C2×Q16—41no—
634C2×Q16C2×D414yescomplemented
635C2×SD16—22no—
636C2×SD16—22no—
637C2×SD16—22no—
638C2×SD16—22no—
639C2×SD16—22no—
640C2×SD16—22no—
641C2×SD16—22no—
642C2×SD16—22no—
643C2×SD16—22no—
644C2×SD16—22no—
645C2×SD16—41no—
646C2×SD16—41no—
647C2×SD16—41no—
648C2×SD16—41no—
649C2×SD16—41no—
650C2×SD16—41no—
651C2×SD16—41no—
652C2×SD16—41no—
653C2×SD16—41no—
654C2×SD16—41no—
655C2×SD16—41no—
656C2×SD16—41no—
657C2×SD16—41no—
658C2×SD16—41no—
659C2×SD16—41no—
660C2×SD16—41no—
661C2×SD16—41no—
662C2×SD16—41no—
663C2×SD16C2×D414yes—
664C2×SD16C2×D414yescomplemented
665C2×D8—22no—
666C2×D8—22no—
667C2×D8—22no—
668C2×D8—22no—
669C2×D8—22no—
670C2×D8—22no—
671C2×D8—22no—
672C2×D8—22no—
673C2×D8—22no—
674C2×D8—22no—
675C2×D8—22no—
676C2×D8—22no—
677C2×D8—22no—
678C2×D8—41no—
679C2×D8—41no—
680C2×D8—41no—
681C2×D8—41no—
682C2×D8—41no—
683C2×D8—41no—
684C2×D8—41no—
685C2×D8—41no—
686C2×D8—41no—
687C2×D8—41no—
688C2×D8—41no—
689C2×D8—41no—
690C2×D8—41no—
691C2×D8—41no—
692C2×D8—416no—
693C2×D8—41no—
694C2×D8—41no—
695C2×D8—41no—
696C2×D8—41no—
697C2×D8—41no—
698C2×D8—41no—
699C2×D8—41no—
700C2×D8—41no—
701C2×D8C2×D414yes—
702C2×M16—22no—
703C2×M16—22no—
704C2×M16—22no—
705C22×C8—22no—
706C22×C8—22no—
707C22×C8—22no—
708C22×C8C2411yescharacteristic
709C22×C8C2411yescharacteristic
710C22×C8C2411yescharacteristic
711C22×C8C2411yescharacteristic
712C22×C8C2411yescharacteristic
713C22×C8C2411yescharacteristic
714C22×C8C2411yescharacteristic
715C22×C8C2411yescharacteristic
716#127—22no—
717#127—22no—
718#127—22no—
719#127—22no—
720#127—22no—
721#127—22no—
722#127—41no—
723#127—41no—
724#127—41no—
725#127—41no—
726#127—41no—
727#127—41no—
728#126—44no—
729#125—22no—
730#125—22no—
731#124—22no—
732#124—22no—
733#124—22no—
734#124—22no—
735#124—22no—
736#124—22no—
737#124—22no—
738#124—22no—
739#124—44no—
740#124—44no—
741#124—41no—
742#124—41no—
743#124—41no—
744#124—41no—
745#124—41no—
746#124—41no—
747#124—41no—
748#124—41no—
749#124—44no—
750#124C2×D414yes—
751#124C2×D414yescomplemented
752#123—44no—
753#123—82no—
754C22⋊Q8—22no—
755C22⋊Q8—22no—
756C22⋊Q8—22no—
757C22⋊Q8—41no—
758C22⋊Q8—44no—
759#121—22no—
760#121—22no—
761#121—22no—
762#121—44no—
763#121—44no—
764#121—44no—
765#121—44no—
766#121—41no—
767#121—41no—
768#121—41no—
769#121—41no—
770#121—41no—
771#121—44no—
772#121—44no—
773#121—41no—
774#121—41no—
775#121—41no—
776#121—41no—
777#121—82no—
778#121—82no—
779#121—82no—
780#121—82no—
781#121—82no—
782#120—44no—
783#120—44no—
784#120—44no—
785#120—44no—
786#120—44no—
787#120—44no—
788#120—82no—
789#120—82no—
790#120—82no—
791C4×Q8—22no—
792C4×Q8—41no—
793C4×Q8—41no—
794C4×Q8—41no—
795C4×Q8—41no—
796C4×Q8—41no—
797C4×D4—22no—
798C4×D4—22no—
799C4×D4—22no—
800C4×D4—41no—
801C4×D4—41no—
802C4×D4—41no—
803C4×D4—41no—
804C4×D4—41no—
805C4×D4—44no—
806C4×D4—44no—
807#117—22no—
808#117—22no—
809#117—44no—
810C2×C4⋊C4—21no—
811C2×C4⋊C4—21no—
812C2×C4⋊C4—21no—
813C2×C4⋊C4—21no—
814C2×C4⋊C4—21no—
815C2×C4⋊C4—21no—
816C2×C4⋊C4—21no—
817C2×C4⋊C4—21no—
818C2×C4⋊C4—21no—
819C2×C4⋊C4—21no—
820C2×C4⋊C4—21no—
821C2×C4⋊C4—21no—
822C2×C4⋊C4—21no—
823C2×C4⋊C4C2×D411yescharacteristic
824C2×C4⋊C4C2×D411yescharacteristic
825C2×C4⋊C4C2×D411yescharacteristic
826C2×C4⋊C4C2×D411yescharacteristic
827C2×C4⋊C4C2×D411yescharacteristic
828C2×C4⋊C4C2411yescharacteristic
829C2×C4⋊C4C2411yescharacteristic
830C2×C4⋊C4C2411yescharacteristic
831C2×C4⋊C4C2411yescharacteristic
832C2×C4⋊C4C2411yescharacteristic
833C2×C4⋊C4C2411yescharacteristic
834C2×C22⋊C4—21no—
835C2×C22⋊C4—21no—
836C2×C22⋊C4—21no—
837C2×C22⋊C4—21no—
838C2×C22⋊C4—21no—
839C2×C22⋊C4—21no—
840C2×C22⋊C4—21no—
841C2×C22⋊C4—21no—
842C2×C22⋊C4—21no—
843C2×C22⋊C4—21no—
844C2×C22⋊C4—21no—
845C2×C22⋊C4—21no—
846C2×C22⋊C4—21no—
847C2×C22⋊C4—21no—
848C2×C22⋊C4—21no—
849C2×C22⋊C4—21no—
850C2×C22⋊C4—21no—
851C2×C22⋊C4—21no—
852C2×C22⋊C4—21no—
853C2×C22⋊C4—21no—
854C2×C22⋊C4—21no—
855C2×C22⋊C4—21no—
856C2×C22⋊C4—21no—
857C2×C22⋊C4—21no—
858C2×C22⋊C4—21no—
859C2×C22⋊C4—21no—
860C2×C22⋊C4—21no—
861C2×C22⋊C4—21no—
862C2×C22⋊C4—21no—
863C2×C22⋊C4—21no—
864C2×C22⋊C4—21no—
865C2×C22⋊C4—21no—
866C2×C22⋊C4—21no—
867C2×C22⋊C4—21no—
868C2×C22⋊C4—21no—
869C2×C22⋊C4—21no—
870C2×C22⋊C4—21no—
871C2×C22⋊C4—21no—
872C2×C22⋊C4—21no—
873C2×C22⋊C4—21no—
874C2×C22⋊C4—21no—
875C2×C22⋊C4—21no—
876C2×C22⋊C4—21no—
877C2×C22⋊C4—21no—
878C2×C22⋊C4—21no—
879C2×C22⋊C4—21no—
880C2×C22⋊C4—21no—
881C2×C22⋊C4—21no—
882C2×C22⋊C4—21no—
883C2×C22⋊C4—21no—
884C2×C22⋊C4—21no—
885C2×C22⋊C4—21no—
886C2×C22⋊C4—21no—
887C2×C22⋊C4—44no—
888C2×C22⋊C4—44no—
889C2×C22⋊C4—82no—
890C2×C22⋊C4C2×D411yescharacteristic
891C2×C22⋊C4C2×D411yescharacteristic
892C2×C22⋊C4C2×D411yescharacteristic
893C2×C22⋊C4C2×D411yescharacteristic
894C2×C22⋊C4C2×D411yescharacteristic
895C2×C22⋊C4C2×D411yescharacteristic
896C2×C22⋊C4C2×D411yescharacteristic
897C2×C22⋊C4C2×D411yescharacteristic
898C2×C42—22no—
899C2×C42—22no—
900C2×C42—21no—
901C2×C42—21no—
902C2×C42—21no—
903C2×C42C2×D411yescharacteristic
904C2×C42C2×D411yescharacteristic
905C2×C42C2411yescharacteristic
906C2×C42C2411yescharacteristic
907C2×C42C2411yescharacteristic
908C2×C42C2411yescharacteristic
909C2×C42C2411yescharacteristic
910C4⋊C8—22no—
911C4⋊C8—22no—
912C4⋊C8—22no—
913C4⋊C8—22no—
914#103—22no—
915#103—22no—
916#103—22no—
917#103—22no—
918#103—22no—
919#103—22no—
920#103—41no—
921#103—41no—
922#103—41no—
923#103—41no—
924#102—22no—
925#102—22no—
926#102—22no—
927#102—22no—
928#102—22no—
929#102—22no—
930#102—41no—
931#102—41no—
932#102—41no—
933#102—41no—
934#102—41no—
935#102—41no—
936#102—41no—
937#102—41no—
938#102—41no—
939#102—41no—
940#102—41no—
941#102—41no—
942#102—41no—
943#102—41no—
944#102—41no—
945#102—41no—
946C22⋊C8—22no—
947C22⋊C8—22no—
948C22⋊C8—22no—
949C22⋊C8—22no—
950C22⋊C8—22no—
951C22⋊C8—22no—
952#97—22no—
953#97—22no—
954#97—22no—
955C4×C8—22no—
956C4×C8—22no—
957C4×C8C2×D414yescomplemented
958#95—21no—
959#95—21no—
960#95—21no—
961#95—21no—
962#95—21no—
963#95—21no—
964#95—21no—
965#95—21no—
966#95—21no—
967#95—21no—
968#95C2×D411yescharacteristic
969#95C2×D411yescharacteristic
970#95C2×D411yescharacteristic
971#95C2×D411yescharacteristic
972#95C2×D411yescharacteristic
973#95C2×D411yescharacteristic
974#95C2×D411yescharacteristic
975#95C2×D411yescharacteristic
976#95C2×D411yescharacteristic
977#95C2×D411yescharacteristic
978C24—21no—
979C24—21no—
980C24—21no—
981C24—21no—
982C24—21no—
983C24—21no—
984C24—21no—
985C24—42no—
986C24—42no—
987C24—42no—
988C24—42no—
989C24—42no—
990C24—42no—
991C24—42no—
992C24—42no—
993C24—81no—
994C24—81no—
995C24—81no—
996C24—81no—
997C24—81no—
998C24—81no—
999C24—81no—
1000C24—81no—
1001C24—81no—
1002C24—81no—
1003C24—81no—
1004C24—81no—
1005C24—81no—
1006C24C22×D411yescharacteristic
1007C24C22×D411yescharacteristic
1008#41—44no—
1009#41—44no—
1010#41—44no—
1011#41—44no—
1012#41—82no—
1013#41—82no—
1014#41—82no—
1015#41—82no—
1016C2×Q8—21no—
1017C2×Q8—21no—
1018C2×Q8—21no—
1019C2×Q8—21no—
1020C2×Q8—21no—
1021C2×Q8—21no—
1022C2×Q8—21no—
1023C2×Q8—21no—
1024C2×Q8—21no—
1025C2×Q8—21no—
1026C2×Q8—21no—
1027C2×Q8—21no—
1028C2×Q8—21no—
1029C2×Q8—21no—
1030C2×Q8—21no—
1031C2×Q8—21no—
1032C2×Q8—42no—
1033C2×Q8—42no—
1034C2×Q8—81no—
1035C2×Q8—82no—
1036C2×Q8—82no—
1037C2×Q8—82no—
1038C2×Q8—82no—
1039C2×Q8C22×D412yes—
1040C2×Q8C22×D412yes—
1041C2×D4—22no—
1042C2×D4—22no—
1043C2×D4—21no—
1044C2×D4—21no—
1045C2×D4—21no—
1046C2×D4—21no—
1047C2×D4—21no—
1048C2×D4—21no—
1049C2×D4—21no—
1050C2×D4—21no—
1051C2×D4—21no—
1052C2×D4—21no—
1053C2×D4—21no—
1054C2×D4—21no—
1055C2×D4—21no—
1056C2×D4—21no—
1057C2×D4—21no—
1058C2×D4—21no—
1059C2×D4—21no—
1060C2×D4—21no—
1061C2×D4—21no—
1062C2×D4—21no—
1063C2×D4—21no—
1064C2×D4—21no—
1065C2×D4—21no—
1066C2×D4—21no—
1067C2×D4—21no—
1068C2×D4—21no—
1069C2×D4—21no—
1070C2×D4—21no—
1071C2×D4—21no—
1072C2×D4—21no—
1073C2×D4—21no—
1074C2×D4—21no—
1075C2×D4—21no—
1076C2×D4—21no—
1077C2×D4—21no—
1078C2×D4—21no—
1079C2×D4—21no—
1080C2×D4—21no—
1081C2×D4—21no—
1082C2×D4—21no—
1083C2×D4—44no—
1084C2×D4—44no—
1085C2×D4—44no—
1086C2×D4—44no—
1087C2×D4—41no—
1088C2×D4—42no—
1089C2×D4—42no—
1090C2×D4—42no—
1091C2×D4—42no—
1092C2×D4—42no—
1093C2×D4—42no—
1094C2×D4—42no—
1095C2×D4—42no—
1096C2×D4—42no—
1097C2×D4—42no—
1098C2×D4—42no—
1099C2×D4—42no—
1100C2×D4—42no—
1101C2×D4—42no—
1102C2×D4—42no—
1103C2×D4—42no—
1104C2×D4—42no—
1105C2×D4—42no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—42no—
1111C2×D4—42no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—42no—
1116C2×D4—42no—
1117C2×D4—42no—
1118C2×D4—42no—
1119C2×D4—82no—
1120C2×D4—82no—
1121C2×D4—82no—
1122C2×D4—82no—
1123C2×D4—81no—
1124C2×D4—81no—
1125C2×D4—81no—
1126C2×D4—81no—
1127C2×D4—81no—
1128C2×D4—81no—
1129C2×D4—81no—
1130C2×D4—81no—
1131C2×D4—81no—
1132C2×D4—81no—
1133C2×D4—81no—
1134C2×D4—81no—
1135C2×D4—81no—
1136C2×D4—81no—
1137C2×D4—81no—
1138C2×D4—81no—
1139C2×D4—81no—
1140C2×D4—81no—
1141C2×D4—81no—
1142C2×D4—81no—
1143C2×D4—81no—
1144C2×D4—81no—
1145C2×D4—81no—
1146C2×D4—81no—
1147C2×D4—81no—
1148C2×D4—81no—
1149C2×D4—81no—
1150C2×D4—81no—
1151C2×D4—81no—
1152C2×D4—82no—
1153C2×D4—82no—
1154C2×D4—82no—
1155C2×D4—82no—
1156C2×D4—81no—
1157C2×D4—81no—
1158C2×D4—81no—
1159C2×D4—81no—
1160C2×D4—81no—
1161C2×D4—81no—
1162C2×D4—81no—
1163C2×D4—81no—
1164C2×D4—81no—
1165C2×D4—816no—
1166C2×D4C22×D412yes—
1167C2×D4C22×D412yes—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—22no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—22no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—22no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—42no—
1194C22×C4—42no—
1195C22×C4—42no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—81no—
1203C22×C4—81no—
1204C22×C4—81no—
1205C22×C4—81no—
1206C22×C4—81no—
1207C22×C4—81no—
1208C22×C4—81no—
1209C22×C4—81no—
1210C22×C4—81no—
1211C22×C4C22×D411yescharacteristic
1212C22×C4C22×D411yescharacteristic
1213C22×C4C22×D411yescharacteristic
1214C22×C4C22×D411yescharacteristic
1215C22×C4C22×D411yescharacteristic
1216C22×C4C22×D411yescharacteristic
1217C22×C4C22×D411yescharacteristic
1218C22×C4C22×D411yescharacteristic
1219C22×C4C22×D411yescharacteristic
1220C22×C4C22×D411yescharacteristic
1221C22×C4C22×D411yescharacteristic
1222C22×C4C22×D411yescharacteristic
1223C22×C4H(5,𝔽2)12yes—
1224C22×C4H(5,𝔽2)12yes—
1225C22×C4C2511yescharacteristic
1226Q16—44no—
1227Q16—82no—
1228SD16—44no—
1229SD16—44no—
1230SD16—44no—
1231SD16—44no—
1232SD16—44no—
1233SD16—44no—
1234SD16—82no—
1235SD16—82no—
1236SD16—82no—
1237SD16—82no—
1238D8—44no—
1239D8—44no—
1240D8—44no—
1241D8—44no—
1242D8—44no—
1243D8—44no—
1244D8—44no—
1245D8—44no—
1246D8—44no—
1247D8—82no—
1248D8—82no—
1249D8—82no—
1250M16—28no—
1251C2×C8—28no—
1252C2×C8—21no—
1253C2×C8—21no—
1254C2×C8—21no—
1255C2×C8—21no—
1256C2×C8—21no—
1257C2×C8—21no—
1258C2×C8—21no—
1259C2×C8—21no—
1260C2×C8—21no—
1261C2×C8—21no—
1262C2×C8—21no—
1263C2×C8—21no—
1264C2×C8—21no—
1265C2×C8—21no—
1266C2×C8—21no—
1267C2×C8—21no—
1268C2×C8—21no—
1269C2×C8—21no—
1270C2×C8—21no—
1271C2×C8—21no—
1272C2×C8C22×D412yes—
1273C2×C8C22×D412yes—
1274C2×C8H(5,𝔽2)12yes—
1275C2×C8H(5,𝔽2)12yes—
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—22no—
1279C4⋊C4—21no—
1280C4⋊C4—21no—
1281C4⋊C4—21no—
1282C4⋊C4—21no—
1283C4⋊C4—21no—
1284C4⋊C4—21no—
1285C4⋊C4—21no—
1286C4⋊C4—21no—
1287C4⋊C4—21no—
1288C4⋊C4—21no—
1289C4⋊C4—21no—
1290C4⋊C4—21no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—81no—
1300C4⋊C4—81no—
1301C4⋊C4—81no—
1302C4⋊C4—81no—
1303C4⋊C4—81no—
1304C4⋊C4—81no—
1305C4⋊C4—81no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—24no—
1312C22⋊C4—24no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
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—81no—
1341C22⋊C4—81no—
1342C22⋊C4—81no—
1343C22⋊C4—81no—
1344C22⋊C4—81no—
1345C22⋊C4—81no—
1346C22⋊C4—81no—
1347C22⋊C4—81no—
1348C22⋊C4—81no—
1349C22⋊C4—81no—
1350C22⋊C4—81no—
1351C22⋊C4—81no—
1352C22⋊C4—81no—
1353C22⋊C4—81no—
1354C22⋊C4—81no—
1355C22⋊C4—81no—
1356C22⋊C4—81no—
1357C22⋊C4—81no—
1358C22⋊C4—81no—
1359C22⋊C4—81no—
1360C22⋊C4—81no—
1361C22⋊C4—81no—
1362C22⋊C4—81no—
1363C22⋊C4—81no—
1364C22⋊C4—81no—
1365C22⋊C4—81no—
1366C22⋊C4—81no—
1367C42—22no—
1368C42—22no—
1369C42—21no—
1370C42—21no—
1371C42—21no—
1372C42—21no—
1373C42—21no—
1374C42—21no—
1375C42—21no—
1376C42—21no—
1377C42—42no—
1378C42—42no—
1379C42—81no—
1380C42C22×D412yes—
1381C42H(5,𝔽2)12yes—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—22no—
1395C23—22no—
1396C23—41no—
1397C23—41no—
1398C23—41no—
1399C23—41no—
1400C23—41no—
1401C23—41no—
1402C23—41no—
1403C23—41no—
1404C23—41no—
1405C23—41no—
1406C23—41no—
1407C23—41no—
1408C23—41no—
1409C23—41no—
1410C23—41no—
1411C23—41no—
1412C23—41no—
1413C23—41no—
1414C23—41no—
1415C23—41no—
1416C23—41no—
1417C23—41no—
1418C23—41no—
1419C23—41no—
1420C23—41no—
1421C23—41no—
1422C23—41no—
1423C23—41no—
1424C23—41no—
1425C23—41no—
1426C23—41no—
1427C23—41no—
1428C23—41no—
1429C23—41no—
1430C23—41no—
1431C23—41no—
1432C23—41no—
1433C23—41no—
1434C23—41no—
1435C23—41no—
1436C23—41no—
1437C23—41no—
1438C23—41no—
1439C23—41no—
1440C23—41no—
1441C23—41no—
1442C23—41no—
1443C23—84no—
1444C23—84no—
1445C23—84no—
1446C23—84no—
1447C23—84no—
1448C23—84no—
1449C23—84no—
1450C23—84no—
1451C23—162no—
1452C23—162no—
1453C23—162no—
1454C23—162no—
1455C23—162no—
1456C23—162no—
1457C23—162no—
1458C23—162no—
1459C23—162no—
1460C23—162no—
1461C23—162no—
1462C23—162no—
1463C23—162no—
1464C23#53512yes—
1465C23#57612yes—
1466C23C23×D411yescharacteristic
1467Q8—22no—
1468Q8—22no—
1469Q8—22no—
1470Q8—22no—
1471Q8—41no—
1472Q8—41no—
1473Q8—41no—
1474Q8—41no—
1475Q8—41no—
1476Q8—41no—
1477Q8—41no—
1478Q8—41no—
1479Q8—84no—
1480D4—22no—
1481D4—22no—
1482D4—22no—
1483D4—22no—
1484D4—44no—
1485D4—41no—
1486D4—41no—
1487D4—41no—
1488D4—41no—
1489D4—41no—
1490D4—41no—
1491D4—41no—
1492D4—41no—
1493D4—41no—
1494D4—41no—
1495D4—41no—
1496D4—41no—
1497D4—41no—
1498D4—41no—
1499D4—41no—
1500D4—41no—
1501D4—41no—
1502D4—41no—
1503D4—41no—
1504D4—41no—
1505D4—41no—
1506D4—41no—
1507D4—41no—
1508D4—41no—
1509D4—84no—
1510D4—84no—
1511D4—84no—
1512D4—84no—
1513D4—84no—
1514D4—84no—
1515D4—84no—
1516D4—84no—
1517D4—84no—
1518D4—84no—
1519D4—162no—
1520D4—162no—
1521D4—162no—
1522D4—162no—
1523D4—162no—
1524D4—162no—
1525D4—162no—
1526D4—162no—
1527D4—162no—
1528D4—162no—
1529D4—162no—
1530D4—162no—
1531D4—162no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—44no—
1572C2×C4—41no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—82no—
1602C2×C4—84no—
1603C2×C4—84no—
1604C2×C4—84no—
1605C2×C4—84no—
1606C2×C4—84no—
1607C2×C4—162no—
1608C2×C4#53512yes—
1609C2×C4D4212yes—
1610C2×C4D4212yes—
1611C2×C4C23×D411yescharacteristic
1612C2×C4C2×H(5,𝔽2)11yescharacteristic
1613C2×C4C2×H(5,𝔽2)11yescharacteristic
1614C2×C4C2×H(5,𝔽2)11yescharacteristic
1615C2×C4C2×H(5,𝔽2)11yescharacteristic
1616C2×C4C2×H(5,𝔽2)11yescharacteristic
1617C8—22no—
1618C8—22no—
1619C8—22no—
1620C8—22no—
1621C8—41no—
1622C8—41no—
1623C8—41no—
1624C8—41no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—42no—
1644C22—42no—
1645C22—81no—
1646C22—81no—
1647C22—81no—
1648C22—81no—
1649C22—81no—
1650C22—81no—
1651C22—81no—
1652C22—81no—
1653C22—81no—
1654C22—81no—
1655C22—81no—
1656C22—81no—
1657C22—81no—
1658C22—81no—
1659C22—81no—
1660C22—81no—
1661C22—81no—
1662C22—81no—
1663C22—81no—
1664C22—81no—
1665C22—81no—
1666C22—81no—
1667C22—81no—
1668C22—81no—
1669C22—81no—
1670C22—81no—
1671C22—81no—
1672C22—81no—
1673C22—81no—
1674C22—81no—
1675C22—81no—
1676C22—81no—
1677C22—81no—
1678C22—81no—
1679C22—81no—
1680C22—81no—
1681C22—81no—
1682C22—81no—
1683C22—81no—
1684C22—81no—
1685C22—81no—
1686C22—81no—
1687C22—81no—
1688C22—168no—
1689C22—168no—
1690C22—168no—
1691C22C2×#53511yescharacteristic
1692C22C2×D4211yescharacteristic
1693C22#349811yescharacteristic
1694C22C2×#57611yescharacteristic
1695C22#358411yescharacteristic
1696C22#358511yescharacteristic
1697C22#358511yescharacteristic
1698C4—22no—
1699C4—22no—
1700C4—22no—
1701C4—41no—
1702C4—41no—
1703C4—42no—
1704C4—42no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4—81no—
1713C4—81no—
1714C4—81no—
1715C4—81no—
1716C4—81no—
1717C4—81no—
1718C4—81no—
1719C4#348411yescharacteristic
1720C4#348411yescharacteristic
1721C4#354311yescharacteristic
1722C4#354311yescharacteristic
1723C2—42no—
1724C2—42no—
1725C2—82no—
1726C2—82no—
1727C2—161no—
1728C2—161no—
1729C2—161no—
1730C2—161no—
1731C2—161no—
1732C2#3767411yescharacteristic
1733C2#6081111yescharacteristic
1734C2#6083411yescharacteristic
1735C2#6105611yescharacteristic
1736C2#6106311yescharacteristic
1737C2#6245911yescharacteristic
1738C2#6246811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2290 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3211C2semidirect
2. C2×#3155C2semidirect
3. #37751C2semidirect
4. #37677C2semidirect
5. #33047C2semidirect
6. #30763C2semidirect
7. #30750C2semidirect
8. #30746C2semidirect
9. #30735C2semidirect
10. #30472C2semidirect
11. #30461C2semidirect
12. #30457C2semidirect
13. #30444C2semidirect
14. #30270C2semidirect
15. #29806C2semidirect
16. #28630C2semidirect
17. #28452C2semidirect
18. #25867C2semidirect
19. #25736C2semidirect
20. #25731C2semidirect
21. #25605C2semidirect
22. #24371C2semidirect
23. #24366C2semidirect
24. #24362C2semidirect
25. #24355C2semidirect
26. #23866C2semidirect
27. #23860C2semidirect
28. #23854C2semidirect
29. #23848C2semidirect
30. #22274C2semidirect
31. #21109C2semidirect
33. C22×AGL(1,ℤ/8)C22semidirect
34. C22×#135C22semidirect
39. C2×#535C22semidirect
40. C2×#529C22semidirect
41. C22×#124C22semidirect
46. C2×#496C22semidirect
47. C2×#496C22semidirect
48. C2×#496C22semidirect
50. C2×#495C22semidirect
51. C2×#495C22semidirect
53. C2×#493C22semidirect
54. C2×#490C22semidirect
55. C2×#488C22semidirect
56. C2×#488C22semidirect
57. C2×#464C22semidirect
58. C2×#464C22semidirect
59. C2×#464C22semidirect
60. C2×#460C22semidirect
62. C2×#463C22semidirect
63. C2×#463C22semidirect
64. C2×#459C22semidirect
65. C2×#452C22semidirect
67. C2×#451C22semidirect
68. C2×#448C22semidirect
69. C2×#448C22semidirect
70. C2×#448C22semidirect
71. C2×#450C22semidirect
72. C2×#450C22semidirect
76. C2×#447C22semidirect
77. C2×#431C22semidirect
78. C2×#405C22semidirect
79. #2856C22semidirect
80. #2856C22semidirect
89. #2657C22semidirect
90. #2641C22semidirect
91. #2629C22semidirect
93. #2548C22semidirect
94. #2544C22semidirect
97. #2448C22semidirect
98. #2445C22semidirect
99. #2436C22semidirect
101. #2433C22semidirect
103. #2428C22semidirect
104. #2426C22semidirect
113. #2341C22semidirect
114. D4×C22⋊C4C22semidirect
115. #2326C22semidirect
116. #2326C22semidirect
118. #2055C22semidirect
119. #2055C22semidirect
121. #2054C22semidirect
122. #2054C22semidirect
123. #2054C22semidirect
124. #2054C22semidirect
125. #2054C22semidirect
126. #2042C22semidirect
127. #2042C22semidirect
128. #2041C22semidirect
129. #2041C22semidirect
130. #2015C22semidirect
131. #2015C22semidirect
132. #2014C22semidirect
133. #2014C22semidirect
135. #2012C22semidirect
136. #2012C22semidirect
137. #2012C22semidirect
138. #2012C22semidirect
139. #2012C22semidirect
140. #2012C22semidirect
141. #2012C22semidirect
142. #2012C22semidirect
143. #2012C22semidirect
146. #2011C22semidirect
147. #2011C22semidirect
148. #2011C22semidirect
149. #2011C22semidirect
150. #2000C22semidirect
151. #2000C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1999C22semidirect
157. #1999C22semidirect
158. #1992C22semidirect
159. #1959C22semidirect
160. #1959C22semidirect
161. #1959C22semidirect
162. #1957C22semidirect
163. #1957C22semidirect
164. #1936C22semidirect
165. #1935C22semidirect
166. #1934C22semidirect
167. #1933C22semidirect
168. #1924C22semidirect
169. #1923C22semidirect
170. #1917C22semidirect
171. #1916C22semidirect
173. #1894C22semidirect
175. #1892C22semidirect
176. #1880C22semidirect
177. #1880C22semidirect
178. #1880C22semidirect
179. #1880C22semidirect
180. #1880C22semidirect
181. #1880C22semidirect
185. #1879C22semidirect
186. #1879C22semidirect
187. #1879C22semidirect
188. #1878C22semidirect
189. #1878C22semidirect
190. #1877C22semidirect
191. #1877C22semidirect
194. #1851C22semidirect
195. #1850C22semidirect
196. #1834C22semidirect
197. #1788C22semidirect
198. #1788C22semidirect
201. #1768C22semidirect
202. #1750C22semidirect
203. #1749C22semidirect
204. #1746C22semidirect
335. #495D4semidirect
634. C2×Q16C2×D4semidirect
664. C2×SD16C2×D4semidirect
751. #124C2×D4semidirect
957. C4×C8C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32112
C2×#31552
#377512
#376772
#330472
#307632
#307502
#307462
#307352
#304722
#304612
#304572
#304442
#302702
#298062
#286302
#284522
#258672
#257362
#257312
#256052
#243712
#243662
#243622
#243552
#238662
#238602
#238542
#238482
#222742
#211092