Finite Group Databasebeta

← #7056022

Subgroups — #7056022

Order 512.

2252 conjugacy classes of subgroups.

The subgroup lattice has 1621 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3310C211yesmaximal, characteristic, complemented
2C2×#3305C211yesmaximal, characteristic, complemented
3#44927C211yesmaximal, characteristic, complemented
4#42970C211yesmaximal, characteristic, complemented
5#31132C211yesmaximal, characteristic, complemented
6#31123C211yesmaximal, characteristic, complemented
7#30890C211yesmaximal, characteristic, complemented
8#30876C211yesmaximal, characteristic, complemented
9#30716C211yesmaximal, characteristic, complemented
10#30701C211yesmaximal, characteristic, complemented
11#30460C211yesmaximal, characteristic, complemented
12#30458C211yesmaximal, characteristic, complemented
13#28586C211yesmaximal, characteristic, complemented
14#27263C211yesmaximal, characteristic, complemented
15#27254C211yesmaximal, characteristic, complemented
16#26915C211yesmaximal, characteristic, complemented
17#26900C211yesmaximal, characteristic, complemented
18#25736C211yesmaximal, characteristic, complemented
19#25422C211yesmaximal, characteristic, complemented
20#25411C211yesmaximal, characteristic, complemented
21#25123C211yesmaximal, characteristic, complemented
22#25112C211yesmaximal, characteristic, complemented
23#24443C211yesmaximal, characteristic, complemented
24#24436C211yesmaximal, characteristic, complemented
25#24434C211yesmaximal, characteristic, complemented
26#24424C211yesmaximal, characteristic, complemented
27#23976C211yesmaximal, characteristic, complemented
28#23971C211yesmaximal, characteristic, complemented
29#23509C211yesmaximal, characteristic, complemented
30#23123C211yesmaximal, characteristic, complemented
31#22090C211yesmaximal, characteristic, complemented
32C2×#555C2211yescharacteristic, complemented
33C2×#552C2211yescharacteristic
34C2×#550C2211yescharacteristic
35C2×#546C2211yescharacteristic
36C2×D42C2211yescharacteristic
37C2×#535C2211yescharacteristic
38#3310—28no—
39#3305—28no—
40C2×#496C2211yescharacteristic
41C2×#495C2211yescharacteristic, complemented
42C2×#490C2211yescharacteristic
43C2×#486C2211yescharacteristic, complemented
44C2×#482C2211yescharacteristic
45C2×#482C2211yescharacteristic, complemented
46C2×#480C2211yescharacteristic
47C2×#477C2211yescharacteristic, complemented
48C2×#478C2211yescharacteristic
49C2×#468C2211yescharacteristic
50C2×#466C2211yescharacteristic
51C2×#466C2211yescharacteristic, complemented
52C2×#465C2211yescharacteristic
53C2×#465C2211yescharacteristic
54C2×#465C2211yescharacteristic, complemented
55C2×#460C2211yescharacteristic
56C2×#459C2211yescharacteristic, complemented
57C2×#452C2211yescharacteristic, complemented
58C2×#452C2211yescharacteristic, complemented
59C2×#449C2211yescharacteristic, complemented
60C2×#449C2211yescharacteristic, complemented
61C2×#450C2211yescharacteristic
62C2×#450C2211yescharacteristic
63C2×#447C2211yescharacteristic
64C2×#447C2211yescharacteristic
65C2×#440C2211yescharacteristic
66C2×C4×SD16C2211yescharacteristic, complemented
67C2×#435C2211yescharacteristic
68C2×C8×D4C2211yescharacteristic, complemented
69C2×#417C2211yescharacteristic, complemented
70C2×#418C2211yescharacteristic
71C2×#416C2211yescharacteristic, complemented
72C2×#416C2211yescharacteristic, complemented
73C22×#102C2211yescharacteristic
74C22×#102C2211yescharacteristic
75#2820—21no—
76#2715—21no—
77#2691—21no—
78#2678—21no—
79#2675—21no—
80#2672—21no—
81#2671—21no—
82#2669—21no—
83#2669—21no—
84#2629—21no—
85#2620—21no—
86#2620C2211yescharacteristic, complemented
87#2609—21no—
88#2541C2211yescharacteristic
89#2541C2211yescharacteristic
90#2464—21no—
91#2454C2211yescharacteristic, complemented
92#2451C2211yescharacteristic, complemented
93#2441C2211yescharacteristic, complemented
94#2440C2211yescharacteristic, complemented
95#2433—21no—
96#2433C2211yescharacteristic
97#2431C2211yescharacteristic
98#2428C2211yescharacteristic
99#2427C2211yescharacteristic, complemented
100#2426C2211yescharacteristic
101#2426C2211yescharacteristic, complemented
102#2424—21no—
103#2417C2211yescharacteristic, complemented
104#2416C2211yescharacteristic
105#2416C2211yescharacteristic, complemented
106#2415C2211yescharacteristic, complemented
107#2410—21no—
108#2408C2211yescharacteristic
109#2407C2211yescharacteristic
110#2392C2211yescharacteristic
111#2367C2211yescharacteristic
112#2324C2211yescharacteristic
113#2317C2211yescharacteristic, complemented
114#2083C2211yescharacteristic, complemented
115#2071C2211yescharacteristic, complemented
116#2065C2211yescharacteristic, complemented
117#2065C2211yescharacteristic, complemented
118#2055C2211yescharacteristic
119#2055C2211yescharacteristic, complemented
120#2042C2211yescharacteristic
121#2042C2211yescharacteristic
122#2042C2211yescharacteristic, complemented
123#2042C2211yescharacteristic, complemented
124#2042C2211yescharacteristic, complemented
125#2041C2211yescharacteristic
126#2041C2211yescharacteristic
127#2041C2211yescharacteristic
128#2041C2211yescharacteristic, complemented
129#2041C2211yescharacteristic, complemented
130#2041C2211yescharacteristic, complemented
131#2035C2211yescharacteristic, complemented
132#2034C2211yescharacteristic
133#2033C2211yescharacteristic
134#2033C2211yescharacteristic, complemented
135#2026C2211yescharacteristic, complemented
136#2025C2211yescharacteristic, complemented
137#2023C2211yescharacteristic
138#2023C2211yescharacteristic, complemented
139#2015C2211yescharacteristic
140#2014C2211yescharacteristic, complemented
141#2014C2211yescharacteristic, complemented
142#2012C2211yescharacteristic
143#2012C2211yescharacteristic, complemented
144#2011C2211yescharacteristic
145#2011C2211yescharacteristic, complemented
146#2001C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#1999C2211yescharacteristic
151#1999C2211yescharacteristic
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1972C2211yescharacteristic, complemented
155#1968C2211yescharacteristic, complemented
156#1959C2211yescharacteristic, complemented
157#1957C2211yescharacteristic
158#1943C2211yescharacteristic, complemented
159#1941C2211yescharacteristic, complemented
160#1936C2211yescharacteristic, complemented
161#1935C2211yescharacteristic, complemented
162#1934C2211yescharacteristic
163#1934C2211yescharacteristic, complemented
164#1928C2211yescharacteristic, complemented
165#1925C2211yescharacteristic, complemented
166#1924C2211yescharacteristic, complemented
167#1923C2211yescharacteristic, complemented
168#1919C2211yescharacteristic, complemented
169#1918C2211yescharacteristic, complemented
170#1917C2211yescharacteristic, complemented
171#1916C2211yescharacteristic, complemented
172#1895C2211yescharacteristic, complemented
173#1893C2211yescharacteristic, complemented
174#1893C2211yescharacteristic, complemented
175#1892C2211yescharacteristic, complemented
176#1880C2211yescharacteristic, complemented
177#1879C2211yescharacteristic
178#1879C2211yescharacteristic
179#1879C2211yescharacteristic, complemented
180#1879C2211yescharacteristic, complemented
181#1878C2211yescharacteristic, complemented
182#1878C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1875C2211yescharacteristic
185#1875C2211yescharacteristic, complemented
186#1874C2211yescharacteristic
187#1874C2211yescharacteristic, complemented
188#1872C2211yescharacteristic, complemented
189#1870C2211yescharacteristic, complemented
190#1869C2211yescharacteristic
191#1869C2211yescharacteristic, complemented
192#1869C2211yescharacteristic, complemented
193#1864C2211yescharacteristic, complemented
194#1864C2211yescharacteristic, complemented
195#1863C2211yescharacteristic, complemented
196#1862C2211yescharacteristic
197#1853C2211yescharacteristic, complemented
198#1825C2211yescharacteristic, complemented
199#1788C2211yescharacteristic, complemented
200#1786C2211yescharacteristic
201#1752C2211yescharacteristic, complemented
202C8×C22⋊C4C2211yescharacteristic, complemented
203#1750C2211yescharacteristic, complemented
204#1729C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×D4—21no—
208C23×D4C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C22×Q16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×M16C2311yescharacteristic
221C23×C8C2311yescharacteristic
222C23×C8C2311yescharacteristic
223C23×C8C2311yescharacteristic
224#555—24no—
225#555—42no—
226#552—24no—
227#552—42no—
228#550—24no—
229#550—42no—
230#546—42no—
231#546—42no—
232D42—24no—
233D42—42no—
234#535—42no—
235#535—42no—
236C2×C4⋊Q8C2311yescharacteristic
237C2×#127—21no—
238C2×#127—21no—
239C2×#127C2311yescharacteristic
240C2×#127C2311yescharacteristic
241C2×#127C2311yescharacteristic
242C2×#127C2311yescharacteristic
243C2×#126—21no—
244C2×#125—21no—
245C2×#125C2311yescharacteristic
246C2×#124—21no—
247C2×#124—21no—
248C2×#124C2311yescharacteristic
249C2×#124C2311yescharacteristic
250C2×#124C2311yescharacteristic
251C2×#123—21no—
252C2×#123—21no—
253C2×C22⋊Q8—21no—
254C2×C22⋊Q8C2311yescharacteristic
255C2×C22⋊Q8C2311yescharacteristic
256C2×C22⋊Q8C2311yescharacteristic
257C2×C22⋊Q8C2311yescharacteristic
258C2×#121—21no—
259C2×#121—21no—
260C2×#121—21no—
261C2×#121—21no—
262C2×#121—21no—
263C2×#121—21no—
264C2×#121—21no—
265C2×#121—21no—
266C2×#121—21no—
267C2×#121—21no—
268C2×#121—21no—
269C2×#121—21no—
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#120—21no—
280C2×#120—21no—
281C2×#120—21no—
282C2×#120—21no—
283C2×#120—21no—
284C2×#120—21no—
285C2×#120—21no—
286C2×#120—21no—
287C2×C4×Q8C2311yescharacteristic
288C2×C4×Q8C2311yescharacteristic
289C2×C4×D4—21no—
290C2×C4×D4C2311yescharacteristic
291C2×C4×D4C2311yescharacteristic
292C2×C4×D4C2311yescharacteristic
293C2×C4×D4C2311yescharacteristic
294C2×C4×D4C2311yescharacteristic
295C2×C4×D4C2311yescharacteristic
296C2×#117—21no—
297C2×#117—21no—
298C2×#117C2311yescharacteristic
299C2×#117C2311yescharacteristic
300C2×#117C2311yescharacteristic
301C22×C4⋊C4C2311yescharacteristic
302C22×C4⋊C4C2311yescharacteristic
303C22×C22⋊C4—21no—
304#496—42no—
305#495—42no—
306#490—24no—
307#486—24no—
308#482—24no—
309#482D418yescomplemented
310#480—24no—
311#478—24no—
312#477—24no—
313#468—24no—
314#466—24no—
315#466—24no—
316#465—24no—
317#465—42no—
318#465—42no—
319#460—24no—
320#459—24no—
321#452—42no—
322#452—42no—
323#450—24no—
324#450—24no—
325#449—24no—
326#449—24no—
327#447—42no—
328#447—42no—
329#440—24no—
330C4×SD16—24no—
331#435—24no—
332C8×D4—24no—
333C2×#107C2311yescharacteristic
334C2×#107C2311yescharacteristic
335C2×#107C2311yescharacteristic
336C2×#106C2311yescharacteristic
337C2×#106C2311yescharacteristic
338C2×#106C2311yescharacteristic
339C2×C4⋊C8C2311yescharacteristic
340C2×C4⋊C8C2311yescharacteristic
341#418—24no—
342#417—42no—
343#416—24no—
344#416—24no—
345C2×#103C2311yescharacteristic
346C2×#103C2311yescharacteristic
347C2×#103C2311yescharacteristic
348C2×#103C2311yescharacteristic
349C2×#103C2311yescharacteristic
350C2×#103C2311yescharacteristic
351C2×#103C2311yescharacteristic
352C2×#103C2311yescharacteristic
353C2×#103C2311yescharacteristic
354C2×#102—24no—
355C2×#102—42no—
356C2×#102C2311yescharacteristic
357C2×#102C2311yescharacteristic
358C2×#102C2311yescharacteristic
359C2×#102C2311yescharacteristic
360C2×#102C2311yescharacteristic
361C2×#102C2311yescharacteristic
362C2×#102C2311yescharacteristic
363C2×#102C2311yescharacteristic
364C2×#102C2311yescharacteristic
365C2×#102C2311yescharacteristic
366C2×#102C2311yescharacteristic
367C2×#102C2311yescharacteristic
368C2×#102C2311yescharacteristic
369C2×#102C2311yescharacteristic
370C2×#102C2311yescharacteristic
371C2×#102C2311yescharacteristic
372C2×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×C22⋊C8C2311yescharacteristic
384C2×C22⋊C8C2311yescharacteristic
385C2×C22⋊C8C2311yescharacteristic
386C2×C22⋊C8C2311yescharacteristic
387C2×C22⋊C8C2311yescharacteristic
388C2×C22⋊C8C2311yescharacteristic
389C2×C22⋊C8C2311yescharacteristic
390C2×C22⋊C8C2311yescharacteristic
391C2×#97C2311yescharacteristic
392C2×#97C2311yescharacteristic
393C2×C4×C8C2311yescharacteristic
394C2×C4×C8C2311yescharacteristic
395#399—21no—
396#399—21no—
397#398—21no—
398#398—21no—
399#398—21no—
400#398D411yescharacteristic
401#397—21no—
402#397—21no—
403#397D411yescharacteristic
404#396—21no—
405#396—21no—
406#396—21no—
407#396—21no—
408#396—21no—
409#396—21no—
410#396—21no—
411#396—21no—
412#396—21no—
413#396D411yescharacteristic
414#396D411yescharacteristic
415#395—21no—
416#395—21no—
417#394—21no—
418#394—21no—
419#394—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#394D411yescharacteristic
429#394D411yescharacteristic
430#394D411yescharacteristic
431#392—21no—
432#392—21no—
433#392—21no—
434#392—21no—
435#392—21no—
436#392—21no—
437#392—21no—
438#392—21no—
439#392—21no—
440#392—21no—
441#392—21no—
442#392D411yescharacteristic
443#391—21no—
444#391C2311yescharacteristic
445#391C2311yescharacteristic
446#391C2311yescharacteristic
447#390—21no—
448#390—21no—
449#390—21no—
450#390—21no—
451#390C2311yescharacteristic
452#390C2311yescharacteristic
453#390C2311yescharacteristic
454#390C2311yescharacteristic
455#390C2311yescharacteristic
456#390C2311yescharacteristic
457#389—21no—
458#389—21no—
459#389C2311yescharacteristic
460#389C2311yescharacteristic
461#389C2311yescharacteristic
462#389C2311yescharacteristic
463#389C2311yescharacteristic
464#389C2311yescharacteristic
465#389C2311yescharacteristic
466#388—21no—
467#388—21no—
468#388—21no—
469#388—21no—
470#388—21no—
471#388—21no—
472#387—21no—
473#387—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#385—21no—
484#385—21no—
485#385—21no—
486#385—21no—
487#385—21no—
488#385—21no—
489#385—21no—
490#384—21no—
491#384C2311yescharacteristic
492#382—21no—
493#380—21no—
494#380—21no—
495#380—21no—
496#380C2311yescharacteristic
497#380C2311yescharacteristic
498#380C2311yescharacteristic
499#379—21no—
500C4×C4⋊C4C2311yescharacteristic
501C4×C4⋊C4C2311yescharacteristic
502C4×C22⋊C4—21no—
503C4×C22⋊C4C2311yescharacteristic
504C4×C22⋊C4C2311yescharacteristic
505#340C2311yescharacteristic
506#340C2311yescharacteristic
507#340C2311yescharacteristic
508#340C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#336C2311yescharacteristic
518#336C2311yescharacteristic
519#336C2311yescharacteristic
520#336C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527C25—21no—
528C25—21no—
529C2×#41—22no—
530C2×#41—22no—
531C2×#41—22no—
532C2×#41—22no—
533C2×#41—22no—
534C2×#41—41no—
535C2×#41—41no—
536C2×#41—41no—
537C2×#41—41no—
538C2×#41—41no—
539C2×#41—41no—
540C2×#41—41no—
541C22×Q8—21no—
542C22×Q8C2411yescharacteristic
543C22×Q8C2411yescharacteristic
544C22×D4—21no—
545C22×D4—22no—
546C22×D4—22no—
547C22×D4—22no—
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—21no—
551C22×D4—21no—
552C22×D4—21no—
553C22×D4—21no—
554C22×D4—21no—
555C22×D4—21no—
556C22×D4—21no—
557C22×D4—21no—
558C22×D4—22no—
559C22×D4—21no—
560C22×D4—21no—
561C22×D4—21no—
562C22×D4—21no—
563C22×D4—21no—
564C22×D4—21no—
565C22×D4—21no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—21no—
569C22×D4—22no—
570C22×D4—41no—
571C22×D4—41no—
572C22×D4—41no—
573C22×D4—41no—
574C22×D4—41no—
575C22×D4—41no—
576C22×D4—41no—
577C22×D4—44no—
578C22×D4—82no—
579C22×D4—82no—
580C22×D4C2×D411yescharacteristic
581C22×D4C2×D411yescharacteristic
582C22×D4C2×D411yescharacteristic
583C22×D4C2411yescharacteristic
584C22×D4C2411yescharacteristic
585C22×D4C2411yescharacteristic
586C22×D4C2411yescharacteristic
587C22×D4C2411yescharacteristic
588C23×C4—21no—
589C23×C4—21no—
590C23×C4—21no—
591C23×C4—21no—
592C23×C4—21no—
593C23×C4—21no—
594C23×C4—21no—
595C23×C4C2411yescharacteristic
596C23×C4C2411yescharacteristic
597C23×C4C2411yescharacteristic
598C2×Q16—22no—
599C2×Q16—41no—
600C2×Q16—41no—
601C2×SD16—22no—
602C2×SD16—22no—
603C2×SD16—22no—
604C2×SD16—22no—
605C2×SD16—22no—
606C2×SD16—22no—
607C2×SD16—41no—
608C2×SD16—41no—
609C2×SD16—41no—
610C2×SD16—41no—
611C2×SD16—41no—
612C2×SD16—41no—
613C2×SD16—41no—
614C2×SD16—41no—
615C2×SD16—41no—
616C2×D8—22no—
617C2×D8—22no—
618C2×D8—22no—
619C2×D8—41no—
620C2×D8—41no—
621C2×D8—41no—
622C2×D8—41no—
623C2×D8—41no—
624C2×D8—41no—
625C2×D8—41no—
626C2×D8—41no—
627C2×D8—41no—
628C2×M16—22no—
629C2×M16—41no—
630C2×M16—41no—
631C22×C8—22no—
632C22×C8—22no—
633C22×C8—22no—
634C22×C8—41no—
635C22×C8—41no—
636C22×C8—41no—
637C22×C8—41no—
638C22×C8—41no—
639C22×C8—41no—
640C22×C8C2411yescharacteristic
641C22×C8C2411yescharacteristic
642C22×C8C2411yescharacteristic
643C22×C8C2411yescharacteristic
644C22×C8C2411yescharacteristic
645C22×C8C2411yescharacteristic
646C22×C8C2411yescharacteristic
647C22×C8C2411yescharacteristic
648C4⋊Q8—22no—
649C4⋊Q8—41no—
650#127—22no—
651#127—22no—
652#127—22no—
653#127—41no—
654#127—41no—
655#127—41no—
656#127—41no—
657#127—41no—
658#127—44no—
659#127—82no—
660#126—44no—
661#125—22no—
662#125—41no—
663#125—44no—
664#124—22no—
665#124—22no—
666#124—22no—
667#124—44no—
668#124—41no—
669#124—41no—
670#124—41no—
671#124—44no—
672#123—44no—
673#123—44no—
674C22⋊Q8—22no—
675C22⋊Q8—22no—
676C22⋊Q8—22no—
677C22⋊Q8—22no—
678C22⋊Q8—41no—
679C22⋊Q8—41no—
680C22⋊Q8—41no—
681C22⋊Q8—41no—
682C22⋊Q8—82no—
683#121—22no—
684#121—22no—
685#121—22no—
686#121—22no—
687#121—22no—
688#121—22no—
689#121—22no—
690#121—44no—
691#121—44no—
692#121—44no—
693#121—44no—
694#121—44no—
695#121—44no—
696#121—44no—
697#121—41no—
698#121—41no—
699#121—41no—
700#121—41no—
701#121—41no—
702#121—41no—
703#121—41no—
704#121—41no—
705#121—41no—
706#121—41no—
707#121—82no—
708#121—82no—
709#121—82no—
710#121—82no—
711#121—82no—
712#121C2×D414yes—
713#120—44no—
714#120—44no—
715#120—44no—
716#120—44no—
717#120—44no—
718#120—82no—
719#120—82no—
720#120—82no—
721C4×Q8—22no—
722C4×Q8—22no—
723C4×Q8—41no—
724C4×Q8—41no—
725C4×D4—22no—
726C4×D4—22no—
727C4×D4—22no—
728C4×D4—22no—
729C4×D4—22no—
730C4×D4—22no—
731C4×D4—41no—
732C4×D4—41no—
733C4×D4—41no—
734C4×D4—41no—
735C4×D4—41no—
736C4×D4—41no—
737C4×D4—44no—
738#117—22no—
739#117—22no—
740#117—41no—
741#117—41no—
742#117—44no—
743#117—44no—
744#117—41no—
745#117C2×D414yes—
746C2×C4⋊C4—22no—
747C2×C4⋊C4—21no—
748C2×C4⋊C4—21no—
749C2×C4⋊C4—21no—
750C2×C4⋊C4—21no—
751C2×C4⋊C4—21no—
752C2×C4⋊C4—21no—
753C2×C4⋊C4—21no—
754C2×C4⋊C4—21no—
755C2×C4⋊C4—21no—
756C2×C4⋊C4—21no—
757C2×C4⋊C4—21no—
758C2×C4⋊C4—21no—
759C2×C4⋊C4—21no—
760C2×C4⋊C4—21no—
761C2×C4⋊C4—21no—
762C2×C4⋊C4—21no—
763C2×C4⋊C4—21no—
764C2×C4⋊C4—21no—
765C2×C4⋊C4—21no—
766C2×C4⋊C4—21no—
767C2×C4⋊C4—41no—
768C2×C4⋊C4—41no—
769C2×C4⋊C4—41no—
770C2×C4⋊C4C2×D411yescharacteristic
771C2×C4⋊C4C2×D411yescharacteristic
772C2×C4⋊C4C2×D411yescharacteristic
773C2×C4⋊C4C2×D411yescharacteristic
774C2×C4⋊C4C2×D411yescharacteristic
775C2×C4⋊C4C2×D411yescharacteristic
776C2×C4⋊C4C2×D411yescharacteristic
777C2×C4⋊C4C2411yescharacteristic
778C2×C4⋊C4C2411yescharacteristic
779C2×C4⋊C4C2411yescharacteristic
780C2×C4⋊C4C2411yescharacteristic
781C2×C4⋊C4C2411yescharacteristic
782C2×C4⋊C4C2411yescharacteristic
783C2×C4⋊C4C2411yescharacteristic
784C2×C4⋊C4C2411yescharacteristic
785C2×C4⋊C4C2411yescharacteristic
786C2×C22⋊C4—21no—
787C2×C22⋊C4—21no—
788C2×C22⋊C4—21no—
789C2×C22⋊C4—21no—
790C2×C22⋊C4—21no—
791C2×C22⋊C4—21no—
792C2×C22⋊C4—21no—
793C2×C22⋊C4—21no—
794C2×C22⋊C4—21no—
795C2×C22⋊C4—21no—
796C2×C22⋊C4—21no—
797C2×C22⋊C4—21no—
798C2×C22⋊C4—21no—
799C2×C22⋊C4—21no—
800C2×C22⋊C4—21no—
801C2×C22⋊C4—21no—
802C2×C22⋊C4—21no—
803C2×C22⋊C4—21no—
804C2×C22⋊C4—21no—
805C2×C22⋊C4—21no—
806C2×C22⋊C4—21no—
807C2×C22⋊C4—21no—
808C2×C22⋊C4—21no—
809C2×C22⋊C4—21no—
810C2×C22⋊C4—21no—
811C2×C22⋊C4—21no—
812C2×C22⋊C4—21no—
813C2×C22⋊C4—21no—
814C2×C22⋊C4—21no—
815C2×C22⋊C4—21no—
816C2×C22⋊C4—21no—
817C2×C22⋊C4—21no—
818C2×C22⋊C4—21no—
819C2×C22⋊C4—21no—
820C2×C22⋊C4—21no—
821C2×C22⋊C4—21no—
822C2×C22⋊C4—21no—
823C2×C22⋊C4—21no—
824C2×C22⋊C4—21no—
825C2×C22⋊C4—44no—
826C2×C22⋊C4C2×D411yescharacteristic
827C2×C22⋊C4C2×D411yescharacteristic
828C2×C22⋊C4C2×D411yescharacteristic
829C2×C22⋊C4C2×D411yescharacteristic
830C2×C22⋊C4C2×D411yescharacteristic
831C2×C22⋊C4C2×D411yescharacteristic
832C2×C22⋊C4C2×D411yescharacteristic
833C2×C22⋊C4C2×D411yescharacteristic
834C2×C22⋊C4C2×D411yescharacteristic
835C2×C22⋊C4C2×D411yescharacteristic
836C2×C22⋊C4C2×D411yescharacteristic
837C2×C22⋊C4C2×D411yescharacteristic
838C2×C42—21no—
839C2×C42—21no—
840C2×C42—21no—
841C2×C42—21no—
842C2×C42—21no—
843C2×C42C2411yescharacteristic
844C2×C42C2411yescharacteristic
845C2×C42C2411yescharacteristic
846C2×C42C2411yescharacteristic
847#107—22no—
848#107—22no—
849#107C2×D414yes—
850#106—41no—
851#106—41no—
852#106C2×D414yes—
853C4⋊C8—22no—
854C4⋊C8—22no—
855#103—22no—
856#103—22no—
857#103—22no—
858#103—22no—
859#103—22no—
860#103—22no—
861#103—41no—
862#103—41no—
863#103—41no—
864#102—22no—
865#102—22no—
866#102—22no—
867#102—22no—
868#102—22no—
869#102—22no—
870#102—22no—
871#102—22no—
872#102—22no—
873#102—22no—
874#102—22no—
875#102—22no—
876#102—22no—
877#102—22no—
878#102—41no—
879#102—41no—
880#102—41no—
881#102—41no—
882#102—41no—
883#102—41no—
884#102—41no—
885#102—41no—
886#102—41no—
887#102—41no—
888#102—41no—
889#102C2×D414yes—
890#102C2×D414yes—
891C22⋊C8—22no—
892C22⋊C8—22no—
893C22⋊C8—22no—
894C22⋊C8—41no—
895C22⋊C8—41no—
896C22⋊C8—41no—
897C22⋊C8—41no—
898C22⋊C8C2×D414yes—
899#97—22no—
900#97—41no—
901C4×C8—22no—
902C4×C8—41no—
903#95—21no—
904#95—21no—
905#95—21no—
906#95—21no—
907#95—21no—
908#95—21no—
909#95—21no—
910#95—21no—
911#95—21no—
912#95—21no—
913#95—21no—
914#95—21no—
915#95—21no—
916#95—21no—
917#95—21no—
918#95—21no—
919#95—21no—
920#95C2×D411yescharacteristic
921#95C2×D411yescharacteristic
922#95C2×D411yescharacteristic
923#95C2×D411yescharacteristic
924#95C2×D411yescharacteristic
925#95C2×D411yescharacteristic
926C24—21no—
927C24—21no—
928C24—21no—
929C24—21no—
930C24—21no—
931C24—42no—
932C24—42no—
933C24—42no—
934C24—42no—
935C24—42no—
936C24—81no—
937C24—81no—
938C24—81no—
939C24—81no—
940C24—81no—
941C24—81no—
942C24—81no—
943C24—81no—
944C24—81no—
945C24C22×D411yescharacteristic
946C24C22×D411yescharacteristic
947C24C22×D411yescharacteristic
948#41—44no—
949#41—44no—
950#41—44no—
951#41—82no—
952#41—82no—
953#41—82no—
954#41—82no—
955#41—82no—
956C2×Q8—21no—
957C2×Q8—21no—
958C2×Q8—21no—
959C2×Q8—21no—
960C2×Q8—21no—
961C2×Q8—21no—
962C2×Q8—21no—
963C2×Q8—21no—
964C2×Q8—21no—
965C2×Q8—21no—
966C2×Q8—21no—
967C2×Q8—42no—
968C2×Q8—81no—
969C2×Q8—81no—
970C2×Q8H(5,𝔽2)12yes—
971C2×D4—22no—
972C2×D4—22no—
973C2×D4—22no—
974C2×D4—24no—
975C2×D4—22no—
976C2×D4—22no—
977C2×D4—21no—
978C2×D4—21no—
979C2×D4—21no—
980C2×D4—21no—
981C2×D4—21no—
982C2×D4—21no—
983C2×D4—21no—
984C2×D4—21no—
985C2×D4—21no—
986C2×D4—21no—
987C2×D4—21no—
988C2×D4—21no—
989C2×D4—21no—
990C2×D4—21no—
991C2×D4—21no—
992C2×D4—21no—
993C2×D4—21no—
994C2×D4—21no—
995C2×D4—21no—
996C2×D4—21no—
997C2×D4—21no—
998C2×D4—21no—
999C2×D4—21no—
1000C2×D4—21no—
1001C2×D4—21no—
1002C2×D4—21no—
1003C2×D4—21no—
1004C2×D4—21no—
1005C2×D4—44no—
1006C2×D4—44no—
1007C2×D4—41no—
1008C2×D4—41no—
1009C2×D4—41no—
1010C2×D4—41no—
1011C2×D4—42no—
1012C2×D4—42no—
1013C2×D4—42no—
1014C2×D4—42no—
1015C2×D4—42no—
1016C2×D4—42no—
1017C2×D4—42no—
1018C2×D4—42no—
1019C2×D4—42no—
1020C2×D4—42no—
1021C2×D4—42no—
1022C2×D4—42no—
1023C2×D4—42no—
1024C2×D4—42no—
1025C2×D4—42no—
1026C2×D4—42no—
1027C2×D4—42no—
1028C2×D4—44no—
1029C2×D4—42no—
1030C2×D4—42no—
1031C2×D4—42no—
1032C2×D4—42no—
1033C2×D4—42no—
1034C2×D4—42no—
1035C2×D4—42no—
1036C2×D4—42no—
1037C2×D4—42no—
1038C2×D4—82no—
1039C2×D4—82no—
1040C2×D4—81no—
1041C2×D4—81no—
1042C2×D4—81no—
1043C2×D4—81no—
1044C2×D4—81no—
1045C2×D4—81no—
1046C2×D4—81no—
1047C2×D4—81no—
1048C2×D4—81no—
1049C2×D4—81no—
1050C2×D4—81no—
1051C2×D4—81no—
1052C2×D4—81no—
1053C2×D4—81no—
1054C2×D4—81no—
1055C2×D4—81no—
1056C2×D4—82no—
1057C2×D4—82no—
1058C2×D4—82no—
1059C2×D4—81no—
1060C2×D4—81no—
1061C2×D4—81no—
1062C2×D4—81no—
1063C2×D4—81no—
1064C2×D4—81no—
1065C2×D4—81no—
1066C2×D4—81no—
1067C2×D4—81no—
1068C2×D4—81no—
1069C2×D4—81no—
1070C2×D4—81no—
1071C2×D4—81no—
1072C2×D4—81no—
1073C2×D4—81no—
1074C2×D4—81no—
1075C2×D4—81no—
1076C2×D4—81no—
1077C2×D4—81no—
1078C2×D4—81no—
1079C2×D4—816no—
1080C2×D4C22×D412yes—
1081C2×D4H(5,𝔽2)12yes—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4—21no—
1089C22×C4—21no—
1090C22×C4—21no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
1095C22×C4—21no—
1096C22×C4—21no—
1097C22×C4—21no—
1098C22×C4—21no—
1099C22×C4—21no—
1100C22×C4—21no—
1101C22×C4—21no—
1102C22×C4—21no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—21no—
1106C22×C4—21no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—42no—
1110C22×C4—42no—
1111C22×C4—42no—
1112C22×C4—42no—
1113C22×C4—42no—
1114C22×C4—42no—
1115C22×C4—42no—
1116C22×C4—42no—
1117C22×C4—42no—
1118C22×C4—42no—
1119C22×C4—42no—
1120C22×C4—81no—
1121C22×C4—81no—
1122C22×C4—81no—
1123C22×C4—81no—
1124C22×C4—81no—
1125C22×C4—81no—
1126C22×C4—81no—
1127C22×C4—81no—
1128C22×C4—81no—
1129C22×C4—81no—
1130C22×C4C22×D411yescharacteristic
1131C22×C4C22×D411yescharacteristic
1132C22×C4C22×D411yescharacteristic
1133C22×C4C22×D411yescharacteristic
1134C22×C4C22×D411yescharacteristic
1135C22×C4C22×D411yescharacteristic
1136C22×C4C22×D411yescharacteristic
1137C22×C4C22×D411yescharacteristic
1138C22×C4C22×D411yescharacteristic
1139C22×C4C22×D411yescharacteristic
1140C22×C4C22×D412yes—
1141C22×C4C22×D411yescharacteristic
1142C22×C4H(5,𝔽2)12yes—
1143C22×C4C2511yescharacteristic
1144Q16—82no—
1145SD16—44no—
1146SD16—44no—
1147SD16—82no—
1148SD16—82no—
1149SD16—82no—
1150D8—82no—
1151D8—82no—
1152D8—82no—
1153D8—82no—
1154M16—82no—
1155C2×C8—21no—
1156C2×C8—21no—
1157C2×C8—21no—
1158C2×C8—21no—
1159C2×C8—21no—
1160C2×C8—21no—
1161C2×C8—21no—
1162C2×C8—21no—
1163C2×C8—21no—
1164C2×C8—21no—
1165C2×C8—21no—
1166C2×C8—21no—
1167C2×C8—21no—
1168C2×C8—21no—
1169C2×C8—21no—
1170C2×C8—21no—
1171C2×C8—21no—
1172C2×C8—21no—
1173C2×C8—21no—
1174C2×C8—21no—
1175C2×C8—21no—
1176C2×C8—21no—
1177C2×C8—82no—
1178C2×C8—82no—
1179C2×C8—82no—
1180C2×C8C22×D412yes—
1181C2×C8C22×D412yes—
1182C4⋊C4—22no—
1183C4⋊C4—22no—
1184C4⋊C4—22no—
1185C4⋊C4—21no—
1186C4⋊C4—21no—
1187C4⋊C4—21no—
1188C4⋊C4—21no—
1189C4⋊C4—21no—
1190C4⋊C4—21no—
1191C4⋊C4—21no—
1192C4⋊C4—21no—
1193C4⋊C4—21no—
1194C4⋊C4—21no—
1195C4⋊C4—21no—
1196C4⋊C4—21no—
1197C4⋊C4—21no—
1198C4⋊C4—21no—
1199C4⋊C4—21no—
1200C4⋊C4—41no—
1201C4⋊C4—41no—
1202C4⋊C4—41no—
1203C4⋊C4—41no—
1204C4⋊C4—42no—
1205C4⋊C4—42no—
1206C4⋊C4—42no—
1207C4⋊C4—42no—
1208C4⋊C4—42no—
1209C4⋊C4—42no—
1210C4⋊C4—42no—
1211C4⋊C4—42no—
1212C4⋊C4—42no—
1213C4⋊C4—81no—
1214C4⋊C4—81no—
1215C4⋊C4—81no—
1216C4⋊C4—81no—
1217C4⋊C4—81no—
1218C4⋊C4—81no—
1219C4⋊C4—81no—
1220C4⋊C4—81no—
1221C4⋊C4—81no—
1222C4⋊C4—81no—
1223C4⋊C4—81no—
1224C4⋊C4C22×D412yes—
1225C4⋊C4C22×D412yes—
1226C4⋊C4C22×D412yes—
1227C22⋊C4—24no—
1228C22⋊C4—24no—
1229C22⋊C4—24no—
1230C22⋊C4—22no—
1231C22⋊C4—22no—
1232C22⋊C4—22no—
1233C22⋊C4—24no—
1234C22⋊C4—22no—
1235C22⋊C4—22no—
1236C22⋊C4—22no—
1237C22⋊C4—41no—
1238C22⋊C4—41no—
1239C22⋊C4—41no—
1240C22⋊C4—41no—
1241C22⋊C4—41no—
1242C22⋊C4—41no—
1243C22⋊C4—42no—
1244C22⋊C4—42no—
1245C22⋊C4—42no—
1246C22⋊C4—42no—
1247C22⋊C4—42no—
1248C22⋊C4—42no—
1249C22⋊C4—42no—
1250C22⋊C4—42no—
1251C22⋊C4—42no—
1252C22⋊C4—42no—
1253C22⋊C4—42no—
1254C22⋊C4—42no—
1255C22⋊C4—42no—
1256C22⋊C4—42no—
1257C22⋊C4—42no—
1258C22⋊C4—42no—
1259C22⋊C4—42no—
1260C22⋊C4—42no—
1261C22⋊C4—81no—
1262C22⋊C4—81no—
1263C22⋊C4—81no—
1264C22⋊C4—81no—
1265C22⋊C4—81no—
1266C22⋊C4—81no—
1267C22⋊C4—81no—
1268C22⋊C4—81no—
1269C22⋊C4—81no—
1270C22⋊C4—81no—
1271C22⋊C4—81no—
1272C22⋊C4—81no—
1273C22⋊C4—81no—
1274C22⋊C4—81no—
1275C22⋊C4—81no—
1276C22⋊C4—81no—
1277C22⋊C4—81no—
1278C42—24no—
1279C42—21no—
1280C42—21no—
1281C42—21no—
1282C42—21no—
1283C42—21no—
1284C42—21no—
1285C42—21no—
1286C42—21no—
1287C42—42no—
1288C42—42no—
1289C42—42no—
1290C42—81no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—22no—
1307C23—22no—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—41no—
1313C23—41no—
1314C23—41no—
1315C23—41no—
1316C23—41no—
1317C23—41no—
1318C23—41no—
1319C23—41no—
1320C23—41no—
1321C23—41no—
1322C23—41no—
1323C23—41no—
1324C23—41no—
1325C23—41no—
1326C23—41no—
1327C23—41no—
1328C23—41no—
1329C23—41no—
1330C23—41no—
1331C23—41no—
1332C23—41no—
1333C23—41no—
1334C23—41no—
1335C23—41no—
1336C23—41no—
1337C23—41no—
1338C23—41no—
1339C23—41no—
1340C23—41no—
1341C23—41no—
1342C23—41no—
1343C23—41no—
1344C23—41no—
1345C23—84no—
1346C23—84no—
1347C23—84no—
1348C23—84no—
1349C23—84no—
1350C23—162no—
1351C23—162no—
1352C23—162no—
1353C23—162no—
1354C23—162no—
1355C23—162no—
1356C23—162no—
1357C23—162no—
1358C23—162no—
1359C23D4212yes—
1360C23#57612yes—
1361C23C23×D411yescharacteristic
1362Q8—22no—
1363Q8—22no—
1364Q8—41no—
1365Q8—41no—
1366Q8—41no—
1367Q8—41no—
1368Q8—41no—
1369Q8—41no—
1370Q8—162no—
1371D4—22no—
1372D4—22no—
1373D4—22no—
1374D4—22no—
1375D4—44no—
1376D4—44no—
1377D4—41no—
1378D4—41no—
1379D4—41no—
1380D4—41no—
1381D4—41no—
1382D4—41no—
1383D4—41no—
1384D4—41no—
1385D4—41no—
1386D4—41no—
1387D4—41no—
1388D4—41no—
1389D4—41no—
1390D4—41no—
1391D4—41no—
1392D4—41no—
1393D4—84no—
1394D4—84no—
1395D4—82no—
1396D4—84no—
1397D4—84no—
1398D4—84no—
1399D4—84no—
1400D4—84no—
1401D4—84no—
1402D4—162no—
1403D4—162no—
1404D4—162no—
1405D4—162no—
1406D4—162no—
1407D4—162no—
1408D4—162no—
1409D4—162no—
1410D4—162no—
1411D4—162no—
1412D4—162no—
1413D4—162no—
1414D4—162no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—41no—
1455C2×C4—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—41no—
1466C2×C4—41no—
1467C2×C4—41no—
1468C2×C4—41no—
1469C2×C4—41no—
1470C2×C4—41no—
1471C2×C4—41no—
1472C2×C4—41no—
1473C2×C4—41no—
1474C2×C4—41no—
1475C2×C4—41no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—41no—
1479C2×C4—41no—
1480C2×C4—41no—
1481C2×C4—41no—
1482C2×C4—41no—
1483C2×C4—41no—
1484C2×C4—41no—
1485C2×C4—41no—
1486C2×C4—41no—
1487C2×C4—41no—
1488C2×C4—41no—
1489C2×C4—41no—
1490C2×C4—41no—
1491C2×C4—84no—
1492C2×C4—84no—
1493C2×C4—84no—
1494C2×C4—84no—
1495C2×C4—84no—
1496C2×C4—162no—
1497C2×C4—162no—
1498C2×C4D4212yes—
1499C2×C4#57712yes—
1500C2×C4C23×D411yescharacteristic
1501C2×C4C2×H(5,𝔽2)11yescharacteristic
1502C2×C4C2×H(5,𝔽2)11yescharacteristic
1503C2×C4C2×H(5,𝔽2)11yescharacteristic
1504C2×C4#58511yescharacteristic
1505C2×C4#58511yescharacteristic
1506C8—22no—
1507C8—22no—
1508C8—41no—
1509C8—41no—
1510C8—41no—
1511C8—41no—
1512C8—41no—
1513C8—41no—
1514C22—22no—
1515C22—22no—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—42no—
1531C22—42no—
1532C22—41no—
1533C22—42no—
1534C22—41no—
1535C22—42no—
1536C22—41no—
1537C22—41no—
1538C22—42no—
1539C22—41no—
1540C22—42no—
1541C22—81no—
1542C22—81no—
1543C22—81no—
1544C22—81no—
1545C22—81no—
1546C22—81no—
1547C22—81no—
1548C22—81no—
1549C22—81no—
1550C22—81no—
1551C22—81no—
1552C22—81no—
1553C22—81no—
1554C22—81no—
1555C22—81no—
1556C22—81no—
1557C22—81no—
1558C22—81no—
1559C22—81no—
1560C22—81no—
1561C22—81no—
1562C22—81no—
1563C22—81no—
1564C22—81no—
1565C22—81no—
1566C22—81no—
1567C22—81no—
1568C22—81no—
1569C22—81no—
1570C22—168no—
1571C22—168no—
1572C22C2×D4211yescharacteristic
1573C22#348411yescharacteristic
1574C22#350011yescharacteristic
1575C22C2×#57611yescharacteristic
1576C22C2×#57711yescharacteristic
1577C22#358411yescharacteristic
1578C22#358511yescharacteristic
1579C4—22no—
1580C4—22no—
1581C4—41no—
1582C4—41no—
1583C4—42no—
1584C4—41no—
1585C4—42no—
1586C4—41no—
1587C4—41no—
1588C4—42no—
1589C4—42no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—81no—
1595C4—81no—
1596C4—81no—
1597C4—81no—
1598C4—81no—
1599C4—81no—
1600C4—81no—
1601C4#348811yescharacteristic
1602C4#348811yescharacteristic
1603C4#353411yescharacteristic
1604C4#353411yescharacteristic
1605C2—42no—
1606C2—42no—
1607C2—81no—
1608C2—82no—
1609C2—82no—
1610C2—161no—
1611C2—161no—
1612C2—161no—
1613C2#4388911yescharacteristic
1614C2#6105511yescharacteristic
1615C2#6107211yescharacteristic
1616C2#6163911yescharacteristic
1617C2#6168911yescharacteristic
1618C2#6255211yescharacteristic
1619C2#6260711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2392 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3310C2semidirect
2. C2×#3305C2semidirect
3. #44927C2semidirect
4. #42970C2semidirect
5. #31132C2semidirect
6. #31123C2semidirect
7. #30890C2semidirect
8. #30876C2semidirect
9. #30716C2semidirect
10. #30701C2semidirect
11. #30460C2semidirect
12. #30458C2semidirect
13. #28586C2semidirect
14. #27263C2semidirect
15. #27254C2semidirect
16. #26915C2semidirect
17. #26900C2semidirect
18. #25736C2semidirect
19. #25422C2semidirect
20. #25411C2semidirect
21. #25123C2semidirect
22. #25112C2semidirect
23. #24443C2semidirect
24. #24436C2semidirect
25. #24434C2semidirect
26. #24424C2semidirect
27. #23976C2semidirect
28. #23971C2semidirect
29. #23509C2semidirect
30. #23123C2semidirect
31. #22090C2semidirect
32. C2×#555C22semidirect
41. C2×#495C22semidirect
43. C2×#486C22semidirect
45. C2×#482C22semidirect
47. C2×#477C22semidirect
51. C2×#466C22semidirect
54. C2×#465C22semidirect
56. C2×#459C22semidirect
57. C2×#452C22semidirect
58. C2×#452C22semidirect
59. C2×#449C22semidirect
60. C2×#449C22semidirect
66. C2×C4×SD16C22semidirect
68. C2×C8×D4C22semidirect
69. C2×#417C22semidirect
71. C2×#416C22semidirect
72. C2×#416C22semidirect
86. #2620C22semidirect
91. #2454C22semidirect
92. #2451C22semidirect
93. #2441C22semidirect
94. #2440C22semidirect
99. #2427C22semidirect
101. #2426C22semidirect
103. #2417C22semidirect
105. #2416C22semidirect
106. #2415C22semidirect
113. #2317C22semidirect
114. #2083C22semidirect
115. #2071C22semidirect
116. #2065C22semidirect
117. #2065C22semidirect
119. #2055C22semidirect
122. #2042C22semidirect
123. #2042C22semidirect
124. #2042C22semidirect
128. #2041C22semidirect
129. #2041C22semidirect
130. #2041C22semidirect
131. #2035C22semidirect
134. #2033C22semidirect
135. #2026C22semidirect
136. #2025C22semidirect
138. #2023C22semidirect
140. #2014C22semidirect
141. #2014C22semidirect
143. #2012C22semidirect
145. #2011C22semidirect
146. #2001C22semidirect
147. #2000C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1972C22semidirect
155. #1968C22semidirect
156. #1959C22semidirect
158. #1943C22semidirect
159. #1941C22semidirect
160. #1936C22semidirect
161. #1935C22semidirect
163. #1934C22semidirect
164. #1928C22semidirect
165. #1925C22semidirect
166. #1924C22semidirect
167. #1923C22semidirect
168. #1919C22semidirect
169. #1918C22semidirect
170. #1917C22semidirect
171. #1916C22semidirect
172. #1895C22semidirect
173. #1893C22semidirect
174. #1893C22semidirect
175. #1892C22semidirect
176. #1880C22semidirect
179. #1879C22semidirect
180. #1879C22semidirect
181. #1878C22semidirect
182. #1878C22semidirect
183. #1877C22semidirect
185. #1875C22semidirect
187. #1874C22semidirect
188. #1872C22semidirect
189. #1870C22semidirect
191. #1869C22semidirect
192. #1869C22semidirect
193. #1864C22semidirect
194. #1864C22semidirect
195. #1863C22semidirect
197. #1853C22semidirect
198. #1825C22semidirect
199. #1788C22semidirect
201. #1752C22semidirect
202. C8×C22⋊C4C22semidirect
203. #1750C22semidirect
204. #1729C22semidirect
309. #482D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33102
C2×#33052
#449272
#429702
#311322
#311232
#308902
#308762
#307162
#307012
#304602
#304582
#285862
#272632
#272542
#269152
#269002
#257362
#254222
#254112
#251232
#251122
#244432
#244362
#244342
#244242
#239762
#239712
#235092
#231232
#220902