Finite Group Databasebeta

← #7056095

Subgroups — #7056095

Order 512.

2268 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3323C211yesmaximal, characteristic, complemented
2C2×#3318C211yesmaximal, characteristic, complemented
3#44877C211yesmaximal, characteristic, complemented
4#42674C211yesmaximal, characteristic, complemented
5#31133C211yesmaximal, characteristic, complemented
6#31123C211yesmaximal, characteristic, complemented
7#30893C211yesmaximal, characteristic, complemented
8#30882C211yesmaximal, characteristic, complemented
9#30724C211yesmaximal, characteristic, complemented
10#30718C211yesmaximal, characteristic, complemented
11#30460C211yesmaximal, characteristic, complemented
12#30448C211yesmaximal, characteristic, complemented
13#28586C211yesmaximal, characteristic, complemented
14#27279C211yesmaximal, characteristic, complemented
15#27271C211yesmaximal, characteristic, complemented
16#26905C211yesmaximal, characteristic, complemented
17#26896C211yesmaximal, characteristic, complemented
18#25736C211yesmaximal, characteristic, complemented
19#25425C211yesmaximal, characteristic, complemented
20#25416C211yesmaximal, characteristic, complemented
21#25132C211yesmaximal, characteristic, complemented
22#25129C211yesmaximal, characteristic, complemented
23#24448C211yesmaximal, characteristic, complemented
24#24448C211yesmaximal, characteristic, complemented
25#24440C211yesmaximal, characteristic, complemented
26#24428C211yesmaximal, characteristic, complemented
27#23975C211yesmaximal, characteristic, complemented
28#23966C211yesmaximal, characteristic, complemented
29#23511C211yesmaximal, characteristic, complemented
30#23125C211yesmaximal, characteristic, complemented
31#22091C211yesmaximal, characteristic, complemented
32C2×#553C2211yescharacteristic, complemented
33C2×#552C2211yescharacteristic, complemented
34C2×#546C2211yescharacteristic
35C2×D42C2211yescharacteristic
36C2×D42C2211yescharacteristic
37C2×#535C2211yescharacteristic
38#3323—28no—
39#3318—28no—
40C2×#496C2211yescharacteristic, complemented
41C2×#495C2211yescharacteristic, complemented
42C2×#490C2211yescharacteristic
43C2×#488C2211yescharacteristic, complemented
44C2×#481C2211yescharacteristic
45C2×#485C2211yescharacteristic, complemented
46C2×#482C2211yescharacteristic, complemented
47C2×#478C2211yescharacteristic, complemented
48C2×#478C2211yescharacteristic, complemented
49C2×#470C2211yescharacteristic, complemented
50C2×#469C2211yescharacteristic
51C2×#469C2211yescharacteristic, complemented
52C2×#468C2211yescharacteristic
53C2×#468C2211yescharacteristic, complemented
54C2×#466C2211yescharacteristic
55C2×#464C2211yescharacteristic, complemented
56C2×#459C2211yescharacteristic
57C2×#452C2211yescharacteristic, complemented
58C2×#449C2211yescharacteristic, complemented
59C2×#450C2211yescharacteristic
60C2×#450C2211yescharacteristic, complemented
61C2×#450C2211yescharacteristic, complemented
62C2×#447C2211yescharacteristic
63C2×#447C2211yescharacteristic, complemented
64C2×#447C2211yescharacteristic, complemented
65C2×#442C2211yescharacteristic, complemented
66C2×C4×SD16C2211yescharacteristic, complemented
67C2×#436C2211yescharacteristic, complemented
68C2×#435C2211yescharacteristic, complemented
69C2×#417C2211yescharacteristic, complemented
70C2×#418C2211yescharacteristic
71C2×#418C2211yescharacteristic, complemented
72C2×#418C2211yescharacteristic, complemented
73C2×#416C2211yescharacteristic, complemented
74C22×#102C2211yescharacteristic, complemented
75#2813—21no—
76#2727—21no—
77#2725—21no—
78#2707—21no—
79#2705—21no—
80#2679—21no—
81#2678—21no—
82#2671—21no—
83#2668—21no—
84#2630—21no—
85#2624—21no—
86#2620C2211yescharacteristic, complemented
87#2544C2211yescharacteristic
88#2540C2211yescharacteristic
89#2485—21no—
90#2454C2211yescharacteristic, complemented
91#2453C2211yescharacteristic, complemented
92#2441C2211yescharacteristic, complemented
93#2441C2211yescharacteristic, complemented
94#2435C2211yescharacteristic
95#2433C2211yescharacteristic
96#2428C2211yescharacteristic
97#2427C2211yescharacteristic
98#2427C2211yescharacteristic, complemented
99#2426C2211yescharacteristic, complemented
100#2424—21no—
101#2415C2211yescharacteristic, complemented
102#2415C2211yescharacteristic, complemented
103#2414C2211yescharacteristic, complemented
104#2414C2211yescharacteristic, complemented
105#2410—21no—
106#2408—21no—
107#2408C2211yescharacteristic
108#2407C2211yescharacteristic
109#2403—21no—
110#2392C2211yescharacteristic
111#2366C2211yescharacteristic
112#2324C2211yescharacteristic
113#2316C2211yescharacteristic, complemented
114#2083C2211yescharacteristic, complemented
115#2071C2211yescharacteristic, complemented
116#2068C2211yescharacteristic, complemented
117#2065C2211yescharacteristic, complemented
118#2055C2211yescharacteristic, complemented
119#2054C2211yescharacteristic, complemented
120#2042C2211yescharacteristic, complemented
121#2042C2211yescharacteristic, complemented
122#2042C2211yescharacteristic, complemented
123#2042C2211yescharacteristic, complemented
124#2042C2211yescharacteristic, complemented
125#2042C2211yescharacteristic, complemented
126#2041C2211yescharacteristic
127#2041C2211yescharacteristic
128#2041C2211yescharacteristic
129#2041C2211yescharacteristic, complemented
130#2041C2211yescharacteristic, complemented
131#2036C2211yescharacteristic, complemented
132#2034C2211yescharacteristic, complemented
133#2033C2211yescharacteristic
134#2033C2211yescharacteristic, complemented
135#2026C2211yescharacteristic, complemented
136#2025C2211yescharacteristic, complemented
137#2025C2211yescharacteristic, complemented
138#2025C2211yescharacteristic, complemented
139#2015C2211yescharacteristic, complemented
140#2014C2211yescharacteristic
141#2014C2211yescharacteristic
142#2012C2211yescharacteristic, complemented
143#2012C2211yescharacteristic, complemented
144#2012C2211yescharacteristic, complemented
145#2011C2211yescharacteristic
146#2001C2211yescharacteristic, complemented
147#2000C2211yescharacteristic
148#2000C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#2000C2211yescharacteristic, complemented
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1971C2211yescharacteristic, complemented
155#1970C2211yescharacteristic, complemented
156#1959C2211yescharacteristic, complemented
157#1957C2211yescharacteristic, complemented
158#1944C2211yescharacteristic, complemented
159#1941C2211yescharacteristic, complemented
160#1936C2211yescharacteristic, complemented
161#1936C2211yescharacteristic, complemented
162#1934C2211yescharacteristic, complemented
163#1934C2211yescharacteristic, complemented
164#1928C2211yescharacteristic, complemented
165#1925C2211yescharacteristic, complemented
166#1924C2211yescharacteristic, complemented
167#1923C2211yescharacteristic, complemented
168#1920C2211yescharacteristic, complemented
169#1919C2211yescharacteristic, complemented
170#1917C2211yescharacteristic, complemented
171#1916C2211yescharacteristic, complemented
172#1895C2211yescharacteristic, complemented
173#1895C2211yescharacteristic, complemented
174#1894C2211yescharacteristic, complemented
175#1892C2211yescharacteristic, complemented
176#1880C2211yescharacteristic, complemented
177#1880C2211yescharacteristic, complemented
178#1879C2211yescharacteristic, complemented
179#1879C2211yescharacteristic, complemented
180#1879C2211yescharacteristic, complemented
181#1877C2211yescharacteristic, complemented
182#1877C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1875C2211yescharacteristic
185#1875C2211yescharacteristic
186#1875C2211yescharacteristic, complemented
187#1875C2211yescharacteristic, complemented
188#1873C2211yescharacteristic, complemented
189#1870C2211yescharacteristic, complemented
190#1870C2211yescharacteristic, complemented
191#1870C2211yescharacteristic, complemented
192#1869C2211yescharacteristic, complemented
193#1864C2211yescharacteristic, complemented
194#1862C2211yescharacteristic, complemented
195#1862C2211yescharacteristic, complemented
196#1862C2211yescharacteristic, complemented
197#1854C2211yescharacteristic, complemented
198#1823C2211yescharacteristic, complemented
199#1786C2211yescharacteristic
200#1786C2211yescharacteristic, complemented
201#1753C2211yescharacteristic, complemented
202#1753C2211yescharacteristic, complemented
203#1750C2211yescharacteristic, complemented
204#1729C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C23×D4—21no—
207C23×D4—21no—
208C23×D4C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C22×Q16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×M16C2311yescharacteristic
222C22×M16C2311yescharacteristic
223C22×M16C2311yescharacteristic
224C23×C8C2311yescharacteristic
225#553—24no—
226#553—42no—
227#552—24no—
228#552—42no—
229#546—24no—
230#546—42no—
231D42—24no—
232D42—42no—
233D42—42no—
234D42—42no—
235#535—42no—
236#535—42no—
237C2×#127C2311yescharacteristic
238C2×#127C2311yescharacteristic
239C2×#127C2311yescharacteristic
240C2×#126—21no—
241C2×#126—21no—
242C2×#125—21no—
243C2×#125C2311yescharacteristic
244C2×#125C2311yescharacteristic
245C2×#124C2311yescharacteristic
246C2×#124C2311yescharacteristic
247C2×#124C2311yescharacteristic
248C2×#124C2311yescharacteristic
249C2×#123—21no—
250C2×#123—21no—
251C2×#123—21no—
252C2×C22⋊Q8C2311yescharacteristic
253C2×C22⋊Q8C2311yescharacteristic
254C2×C22⋊Q8C2311yescharacteristic
255C2×C22⋊Q8C2311yescharacteristic
256C2×C22⋊Q8C2311yescharacteristic
257C2×#121—21no—
258C2×#121—21no—
259C2×#121—21no—
260C2×#121—21no—
261C2×#121—21no—
262C2×#121—21no—
263C2×#121—21no—
264C2×#121C2311yescharacteristic
265C2×#121C2311yescharacteristic
266C2×#121C2311yescharacteristic
267C2×#121C2311yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#120—21no—
273C2×#120—21no—
274C2×#120—21no—
275C2×#120—21no—
276C2×#120—21no—
277C2×#120—21no—
278C2×#120—21no—
279C2×#120—21no—
280C2×#120—21no—
281C2×#120—21no—
282C2×C4×Q8C2311yescharacteristic
283C2×C4×D4—21no—
284C2×C4×D4—21no—
285C2×C4×D4C2311yescharacteristic
286C2×C4×D4C2311yescharacteristic
287C2×C4×D4C2311yescharacteristic
288C2×C4×D4C2311yescharacteristic
289C2×C4×D4C2311yescharacteristic
290C2×C4×D4C2311yescharacteristic
291C2×C4×D4C2311yescharacteristic
292C2×#117—21no—
293C2×#117C2311yescharacteristic
294C2×#117C2311yescharacteristic
295C2×#117C2311yescharacteristic
296C2×#117C2311yescharacteristic
297C22×C4⋊C4C2311yescharacteristic
298C22×C22⋊C4—21no—
299#496—42no—
300#495—42no—
301#490—24no—
302#488—24no—
303#485—24no—
304#482—24no—
305#481D418yescomplemented
306#478—24no—
307#478—24no—
308#470—24no—
309#469—24no—
310#469—42no—
311#468—24no—
312#468—42no—
313#466—24no—
314#464—24no—
315#459—24no—
316#452—24no—
317#450—24no—
318#450—42no—
319#450—42no—
320#449—42no—
321#447—24no—
322#447—24no—
323#447—42no—
324#442—24no—
325C4×SD16—24no—
326#436—24no—
327#435—24no—
328C2×#107C2311yescharacteristic
329C2×#107C2311yescharacteristic
330C2×#107C2311yescharacteristic
331C2×#106C2311yescharacteristic
332C2×#106C2311yescharacteristic
333C2×#106C2311yescharacteristic
334C2×C4⋊C8C2311yescharacteristic
335C2×C4⋊C8C2311yescharacteristic
336#418—24no—
337#418—24no—
338#418—42no—
339#417—24no—
340#416—42no—
341C2×#103C2311yescharacteristic
342C2×#103C2311yescharacteristic
343C2×#103C2311yescharacteristic
344C2×#103C2311yescharacteristic
345C2×#103C2311yescharacteristic
346C2×#103C2311yescharacteristic
347C2×#103C2311yescharacteristic
348C2×#103C2311yescharacteristic
349C2×#103C2311yescharacteristic
350C2×#102—24no—
351C2×#102C2311yescharacteristic
352C2×#102C2311yescharacteristic
353C2×#102C2311yescharacteristic
354C2×#102C2311yescharacteristic
355C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
379C2×C22⋊C8C2311yescharacteristic
380C2×C22⋊C8C2311yescharacteristic
381C2×C22⋊C8C2311yescharacteristic
382C2×C22⋊C8C2311yescharacteristic
383C2×C22⋊C8C2311yescharacteristic
384C2×C22⋊C8C2311yescharacteristic
385C2×C22⋊C8C2311yescharacteristic
386C2×#97C2311yescharacteristic
387C2×#97C2311yescharacteristic
388C2×C4×C8C2311yescharacteristic
389C2×C4×C8C2311yescharacteristic
390#400—21no—
391#399—21no—
392#399—21no—
393#399—21no—
394#399—21no—
395#398—21no—
396#398D411yescharacteristic
397#397—21no—
398#397—21no—
399#397—21no—
400#397—21no—
401#397D411yescharacteristic
402#396—21no—
403#396—21no—
404#396—21no—
405#396—21no—
406#396—21no—
407#396—21no—
408#396D411yescharacteristic
409#396D411yescharacteristic
410#394—21no—
411#394—21no—
412#394—21no—
413#394—21no—
414#394—21no—
415#394—21no—
416#394—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#394D411yescharacteristic
427#394D411yescharacteristic
428#394D411yescharacteristic
429#392—21no—
430#392—21no—
431#392—21no—
432#392—21no—
433#392—21no—
434#392—21no—
435#392—21no—
436#392—21no—
437#392D411yescharacteristic
438#391C2311yescharacteristic
439#391C2311yescharacteristic
440#391C2311yescharacteristic
441#390—21no—
442#390—21no—
443#390—21no—
444#390—21no—
445#390—21no—
446#390—21no—
447#390—21no—
448#390C2311yescharacteristic
449#390C2311yescharacteristic
450#390C2311yescharacteristic
451#390C2311yescharacteristic
452#390C2311yescharacteristic
453#390C2311yescharacteristic
454#389—21no—
455#389—21no—
456#389—21no—
457#389—21no—
458#389—21no—
459#389—21no—
460#389—21no—
461#389C2311yescharacteristic
462#389C2311yescharacteristic
463#389C2311yescharacteristic
464#389C2311yescharacteristic
465#389C2311yescharacteristic
466#389C2311yescharacteristic
467#389C2311yescharacteristic
468#388—21no—
469#388—21no—
470#388—21no—
471#388—21no—
472#388—21no—
473#388—21no—
474#387—21no—
475#387—21no—
476#387—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#386—21no—
485#386—21no—
486#385—21no—
487#385—21no—
488#385—21no—
489#384C2311yescharacteristic
490#380—21no—
491#380—21no—
492#380—21no—
493#380—21no—
494#380—21no—
495#380C2311yescharacteristic
496#380C2311yescharacteristic
497#380C2311yescharacteristic
498#379—21no—
499#379—21no—
500#379—21no—
501C4×C4⋊C4C2311yescharacteristic
502C4×C4⋊C4C2311yescharacteristic
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—
529C25—21no—
530C2×#41—22no—
531C2×#41—22no—
532C2×#41—22no—
533C2×#41—41no—
534C2×#41—41no—
535C2×#41—41no—
536C22×Q8C2411yescharacteristic
537C22×Q8C2411yescharacteristic
538C22×D4—21no—
539C22×D4—22no—
540C22×D4—22no—
541C22×D4—22no—
542C22×D4—22no—
543C22×D4—22no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—21no—
551C22×D4—21no—
552C22×D4—21no—
553C22×D4—21no—
554C22×D4—22no—
555C22×D4—21no—
556C22×D4—21no—
557C22×D4—21no—
558C22×D4—21no—
559C22×D4—21no—
560C22×D4—21no—
561C22×D4—21no—
562C22×D4—22no—
563C22×D4—41no—
564C22×D4—41no—
565C22×D4—41no—
566C22×D4—41no—
567C22×D4—41no—
568C22×D4—41no—
569C22×D4—41no—
570C22×D4—41no—
571C22×D4—41no—
572C22×D4—41no—
573C22×D4—41no—
574C22×D4—44no—
575C22×D4—44no—
576C22×D4—82no—
577C22×D4—82no—
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×C4C2411yescharacteristic
595C23×C4C2411yescharacteristic
596C23×C4C2411yescharacteristic
597C2×Q16—22no—
598C2×Q16—41no—
599C2×Q16—41no—
600C2×SD16—22no—
601C2×SD16—22no—
602C2×SD16—22no—
603C2×SD16—22no—
604C2×SD16—41no—
605C2×SD16—41no—
606C2×SD16—41no—
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×D8—22no—
616C2×D8—22no—
617C2×D8—22no—
618C2×D8—22no—
619C2×D8—22no—
620C2×D8—41no—
621C2×D8—41no—
622C2×D8—41no—
623C2×D8—41no—
624C2×D8—41no—
625C2×D8—41no—
626C2×D8—41no—
627C2×M16—22no—
628C2×M16—22no—
629C2×M16—22no—
630C2×M16—41no—
631C2×M16—41no—
632C2×M16—41no—
633C2×M16—41no—
634C2×M16—41no—
635C2×M16—41no—
636C22×C8—22no—
637C22×C8—41no—
638C22×C8—41no—
639C22×C8C2411yescharacteristic
640C22×C8C2411yescharacteristic
641C22×C8C2411yescharacteristic
642C22×C8C2411yescharacteristic
643C22×C8C2411yescharacteristic
644C22×C8C2411yescharacteristic
645C22×C8C2411yescharacteristic
646C22×C8C2411yescharacteristic
647#127—22no—
648#127—22no—
649#127—22no—
650#127—22no—
651#127—41no—
652#127—41no—
653#126—44no—
654#126—44no—
655#125—22no—
656#125—22no—
657#125—41no—
658#125—41no—
659#125—44no—
660#124—22no—
661#124—22no—
662#124—41no—
663#124—41no—
664#124—41no—
665#124—41no—
666#124—41no—
667#124—41no—
668#123—44no—
669#123—44no—
670#123—44no—
671C22⋊Q8—22no—
672C22⋊Q8—22no—
673C22⋊Q8—22no—
674C22⋊Q8—22no—
675C22⋊Q8—41no—
676C22⋊Q8—41no—
677C22⋊Q8—41no—
678C22⋊Q8—41no—
679C22⋊Q8—41no—
680C22⋊Q8—41no—
681#121—22no—
682#121—22no—
683#121—22no—
684#121—22no—
685#121—22no—
686#121—22no—
687#121—22no—
688#121—44no—
689#121—44no—
690#121—41no—
691#121—41no—
692#121—41no—
693#121—41no—
694#121—44no—
695#121—44no—
696#121—44no—
697#121—44no—
698#121—41no—
699#121—41no—
700#121—41no—
701#121—41no—
702#121—82no—
703#121C2×D414yes—
704#120—44no—
705#120—44no—
706#120—44no—
707#120—44no—
708#120—44no—
709#120—44no—
710#120—44no—
711#120—82no—
712#120—82no—
713#120—82no—
714C4×Q8—22no—
715C4×Q8—41no—
716C4×D4—22no—
717C4×D4—22no—
718C4×D4—22no—
719C4×D4—22no—
720C4×D4—22no—
721C4×D4—22no—
722C4×D4—22no—
723C4×D4—41no—
724C4×D4—41no—
725C4×D4—41no—
726C4×D4—41no—
727C4×D4—41no—
728C4×D4—41no—
729C4×D4—41no—
730C4×D4—44no—
731C4×D4—82no—
732#117—22no—
733#117—22no—
734#117—41no—
735#117—41no—
736#117—44no—
737#117—41no—
738#117—41no—
739#117—41no—
740#117—41no—
741C2×C4⋊C4—21no—
742C2×C4⋊C4—22no—
743C2×C4⋊C4—21no—
744C2×C4⋊C4—21no—
745C2×C4⋊C4—21no—
746C2×C4⋊C4—21no—
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⋊C4C2×D411yescharacteristic
763C2×C4⋊C4C2×D411yescharacteristic
764C2×C4⋊C4C2×D411yescharacteristic
765C2×C4⋊C4C2×D411yescharacteristic
766C2×C4⋊C4C2×D411yescharacteristic
767C2×C4⋊C4C2×D411yescharacteristic
768C2×C4⋊C4C2×D411yescharacteristic
769C2×C4⋊C4C2×D414yescomplemented
770C2×C4⋊C4C2411yescharacteristic
771C2×C4⋊C4C2411yescharacteristic
772C2×C4⋊C4C2411yescharacteristic
773C2×C4⋊C4C2411yescharacteristic
774C2×C4⋊C4C2411yescharacteristic
775C2×C4⋊C4C2411yescharacteristic
776C2×C4⋊C4C2411yescharacteristic
777C2×C4⋊C4C2411yescharacteristic
778C2×C4⋊C4C2411yescharacteristic
779C2×C22⋊C4—21no—
780C2×C22⋊C4—21no—
781C2×C22⋊C4—21no—
782C2×C22⋊C4—21no—
783C2×C22⋊C4—21no—
784C2×C22⋊C4—21no—
785C2×C22⋊C4—21no—
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—44no—
823C2×C22⋊C4C2×D411yescharacteristic
824C2×C22⋊C4C2×D411yescharacteristic
825C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
836C2×C42—21no—
837C2×C42—21no—
838C2×C42—21no—
839C2×C42—21no—
840C2×C42C2411yescharacteristic
841C2×C42C2411yescharacteristic
842C2×C42C2411yescharacteristic
843C2×C42C2411yescharacteristic
844#107—22no—
845#107—22no—
846#107—41no—
847#106—41no—
848#106C2×D414yescomplemented
849#106C2×D414yescomplemented
850C4⋊C8—22no—
851C4⋊C8—22no—
852#103—22no—
853#103—22no—
854#103—22no—
855#103—22no—
856#103—41no—
857#103—41no—
858#103—41no—
859#103—41no—
860#103—41no—
861#102—22no—
862#102—22no—
863#102—22no—
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—41no—
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#102C2×D414yes—
887#102C2×D414yes—
888C22⋊C8—22no—
889C22⋊C8—22no—
890C22⋊C8—22no—
891C22⋊C8—41no—
892C22⋊C8—41no—
893C22⋊C8—41no—
894C22⋊C8—41no—
895C22⋊C8C2×D414yescomplemented
896#97—22no—
897#97—41no—
898C4×C8—22no—
899C4×C8—41no—
900#95—21no—
901#95—21no—
902#95—21no—
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#95C2×D411yescharacteristic
918#95C2×D411yescharacteristic
919#95C2×D411yescharacteristic
920#95C2×D411yescharacteristic
921#95C2×D411yescharacteristic
922#95C2×D411yescharacteristic
923C24—21no—
924C24—21no—
925C24—21no—
926C24—21no—
927C24—21no—
928C24—42no—
929C24—42no—
930C24—42no—
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—
945C24—81no—
946C24—81no—
947C24—81no—
948C24—81no—
949C24C22×D411yescharacteristic
950C24C22×D411yescharacteristic
951C24C22×D411yescharacteristic
952#41—44no—
953#41—44no—
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—21no—
968C2×D4—22no—
969C2×D4—24no—
970C2×D4—24no—
971C2×D4—22no—
972C2×D4—24no—
973C2×D4—21no—
974C2×D4—21no—
975C2×D4—21no—
976C2×D4—21no—
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—44no—
1001C2×D4—44no—
1002C2×D4—41no—
1003C2×D4—41no—
1004C2×D4—41no—
1005C2×D4—41no—
1006C2×D4—41no—
1007C2×D4—41no—
1008C2×D4—41no—
1009C2×D4—42no—
1010C2×D4—42no—
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—44no—
1022C2×D4—44no—
1023C2×D4—42no—
1024C2×D4—42no—
1025C2×D4—42no—
1026C2×D4—42no—
1027C2×D4—42no—
1028C2×D4—42no—
1029C2×D4—42no—
1030C2×D4—42no—
1031C2×D4—42no—
1032C2×D4—42no—
1033C2×D4—82no—
1034C2×D4—82no—
1035C2×D4—81no—
1036C2×D4—81no—
1037C2×D4—81no—
1038C2×D4—81no—
1039C2×D4—81no—
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—82no—
1050C2×D4—82no—
1051C2×D4—82no—
1052C2×D4—82no—
1053C2×D4—82no—
1054C2×D4—82no—
1055C2×D4—81no—
1056C2×D4—81no—
1057C2×D4—81no—
1058C2×D4—81no—
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—816no—
1071C2×D4—816no—
1072C2×D4C22×D412yes—
1073C2×D4H(5,𝔽2)12yes—
1074C2×D4H(5,𝔽2)12yes—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—24no—
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—42no—
1104C22×C4—42no—
1105C22×C4—42no—
1106C22×C4—42no—
1107C22×C4—42no—
1108C22×C4—42no—
1109C22×C4—42no—
1110C22×C4—81no—
1111C22×C4—81no—
1112C22×C4—81no—
1113C22×C4—81no—
1114C22×C4—81no—
1115C22×C4—81no—
1116C22×C4—81no—
1117C22×C4—81no—
1118C22×C4—81no—
1119C22×C4—81no—
1120C22×C4C22×D411yescharacteristic
1121C22×C4C22×D411yescharacteristic
1122C22×C4C22×D411yescharacteristic
1123C22×C4C22×D411yescharacteristic
1124C22×C4C22×D411yescharacteristic
1125C22×C4C22×D411yescharacteristic
1126C22×C4C22×D411yescharacteristic
1127C22×C4C22×D411yescharacteristic
1128C22×C4C22×D411yescharacteristic
1129C22×C4C22×D411yescharacteristic
1130C22×C4C22×D411yescharacteristic
1131C22×C4C22×D412yes—
1132C22×C4H(5,𝔽2)12yes—
1133C22×C4C2511yescharacteristic
1134Q16—82no—
1135SD16—44no—
1136SD16—82no—
1137SD16—82no—
1138SD16—82no—
1139SD16—82no—
1140D8—44no—
1141D8—82no—
1142D8—82no—
1143D8—82no—
1144M16—82no—
1145M16—82no—
1146M16—82no—
1147C2×C8—21no—
1148C2×C8—21no—
1149C2×C8—21no—
1150C2×C8—21no—
1151C2×C8—21no—
1152C2×C8—21no—
1153C2×C8—21no—
1154C2×C8—21no—
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—82no—
1170C2×C8C22×D412yes—
1171C2×C8C22×D412yes—
1172C4⋊C4—24no—
1173C4⋊C4—22no—
1174C4⋊C4—22no—
1175C4⋊C4—21no—
1176C4⋊C4—21no—
1177C4⋊C4—21no—
1178C4⋊C4—21no—
1179C4⋊C4—21no—
1180C4⋊C4—21no—
1181C4⋊C4—21no—
1182C4⋊C4—21no—
1183C4⋊C4—21no—
1184C4⋊C4—21no—
1185C4⋊C4—21no—
1186C4⋊C4—21no—
1187C4⋊C4—21no—
1188C4⋊C4—21no—
1189C4⋊C4—21no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C4⋊C4—41no—
1195C4⋊C4—42no—
1196C4⋊C4—42no—
1197C4⋊C4—42no—
1198C4⋊C4—42no—
1199C4⋊C4—42no—
1200C4⋊C4—42no—
1201C4⋊C4—42no—
1202C4⋊C4—42no—
1203C4⋊C4—81no—
1204C4⋊C4—81no—
1205C4⋊C4—81no—
1206C4⋊C4—81no—
1207C4⋊C4—81no—
1208C4⋊C4—81no—
1209C4⋊C4—81no—
1210C4⋊C4—81no—
1211C4⋊C4—81no—
1212C4⋊C4—81no—
1213C4⋊C4—81no—
1214C4⋊C4C22×D412yes—
1215C4⋊C4C22×D412yes—
1216C4⋊C4C22×D412yes—
1217C22⋊C4—22no—
1218C22⋊C4—22no—
1219C22⋊C4—24no—
1220C22⋊C4—22no—
1221C22⋊C4—22no—
1222C22⋊C4—41no—
1223C22⋊C4—41no—
1224C22⋊C4—41no—
1225C22⋊C4—41no—
1226C22⋊C4—41no—
1227C22⋊C4—41no—
1228C22⋊C4—41no—
1229C22⋊C4—41no—
1230C22⋊C4—42no—
1231C22⋊C4—42no—
1232C22⋊C4—42no—
1233C22⋊C4—42no—
1234C22⋊C4—42no—
1235C22⋊C4—42no—
1236C22⋊C4—42no—
1237C22⋊C4—42no—
1238C22⋊C4—42no—
1239C22⋊C4—42no—
1240C22⋊C4—42no—
1241C22⋊C4—42no—
1242C22⋊C4—42no—
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—81no—
1252C22⋊C4—81no—
1253C22⋊C4—81no—
1254C22⋊C4—81no—
1255C22⋊C4—81no—
1256C22⋊C4—81no—
1257C22⋊C4—81no—
1258C22⋊C4—81no—
1259C22⋊C4—81no—
1260C22⋊C4—81no—
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—
1272C42—21no—
1273C42—21no—
1274C42—21no—
1275C42—21no—
1276C42—21no—
1277C42—21no—
1278C42—21no—
1279C42—21no—
1280C42—42no—
1281C42—42no—
1282C42—42no—
1283C42—81no—
1284C42—81no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—22no—
1302C23—22no—
1303C23—21no—
1304C23—21no—
1305C23—22no—
1306C23—21no—
1307C23—21no—
1308C23—41no—
1309C23—41no—
1310C23—41no—
1311C23—41no—
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—84no—
1341C23—84no—
1342C23—84no—
1343C23—84no—
1344C23—84no—
1345C23—84no—
1346C23—84no—
1347C23—84no—
1348C23—162no—
1349C23—162no—
1350C23—162no—
1351C23—162no—
1352C23—162no—
1353C23—162no—
1354C23—162no—
1355C23—162no—
1356C23—162no—
1357C23—162no—
1358C23—162no—
1359C23—162no—
1360C23—162no—
1361C23D4212yes—
1362C23C23×D411yescharacteristic
1363Q8—41no—
1364Q8—41no—
1365Q8—41no—
1366Q8—41no—
1367Q8—41no—
1368Q8—41no—
1369Q8—41no—
1370Q8—41no—
1371D4—22no—
1372D4—22no—
1373D4—22no—
1374D4—22no—
1375D4—22no—
1376D4—22no—
1377D4—44no—
1378D4—44no—
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—82no—
1395D4—84no—
1396D4—84no—
1397D4—84no—
1398D4—84no—
1399D4—84no—
1400D4—84no—
1401D4—84no—
1402D4—84no—
1403D4—84no—
1404D4—84no—
1405D4—84no—
1406D4—162no—
1407D4—162no—
1408D4—162no—
1409D4—162no—
1410D4—162no—
1411D4—162no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
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—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—22no—
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—41no—
1452C2×C4—41no—
1453C2×C4—41no—
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—84no—
1490C2×C4—84no—
1491C2×C4—84no—
1492C2×C4—84no—
1493C2×C4—162no—
1494C2×C4—162no—
1495C2×C4D4212yes—
1496C2×C4C23×D411yescharacteristic
1497C2×C4C2×H(5,𝔽2)11yescharacteristic
1498C2×C4C2×H(5,𝔽2)11yescharacteristic
1499C2×C4C2×H(5,𝔽2)11yescharacteristic
1500C2×C4#58511yescharacteristic
1501C2×C4#58511yescharacteristic
1502C8—22no—
1503C8—22no—
1504C8—41no—
1505C8—41no—
1506C8—41no—
1507C8—41no—
1508C8—41no—
1509C8—41no—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—42no—
1522C22—42no—
1523C22—42no—
1524C22—41no—
1525C22—42no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—42no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—42no—
1535C22—42no—
1536C22—42no—
1537C22—42no—
1538C22—41no—
1539C22—41no—
1540C22—81no—
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—168no—
1567C22—168no—
1568C22—168no—
1569C22C2×D4211yescharacteristic
1570C22#348411yescharacteristic
1571C22#350011yescharacteristic
1572C22#358411yescharacteristic
1573C22#358511yescharacteristic
1574C22#358511yescharacteristic
1575C22#358511yescharacteristic
1576C4—22no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—42no—
1582C4—41no—
1583C4—41no—
1584C4—42no—
1585C4—42no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—81no—
1591C4—81no—
1592C4—81no—
1593C4—81no—
1594C4—81no—
1595C4—81no—
1596C4—81no—
1597C4—81no—
1598C4#348811yescharacteristic
1599C4#348811yescharacteristic
1600C4#353411yescharacteristic
1601C4#353411yescharacteristic
1602C2—42no—
1603C2—81no—
1604C2—81no—
1605C2—82no—
1606C2—82no—
1607C2—82no—
1608C2—161no—
1609C2—161no—
1610C2#4388911yescharacteristic
1611C2#6105911yescharacteristic
1612C2#6107411yescharacteristic
1613C2#6164311yescharacteristic
1614C2#6167811yescharacteristic
1615C2#6256411yescharacteristic
1616C2#6261411yescharacteristic
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×#3323C2semidirect
2. C2×#3318C2semidirect
3. #44877C2semidirect
4. #42674C2semidirect
5. #31133C2semidirect
6. #31123C2semidirect
7. #30893C2semidirect
8. #30882C2semidirect
9. #30724C2semidirect
10. #30718C2semidirect
11. #30460C2semidirect
12. #30448C2semidirect
13. #28586C2semidirect
14. #27279C2semidirect
15. #27271C2semidirect
16. #26905C2semidirect
17. #26896C2semidirect
18. #25736C2semidirect
19. #25425C2semidirect
20. #25416C2semidirect
21. #25132C2semidirect
22. #25129C2semidirect
23. #24448C2semidirect
24. #24448C2semidirect
25. #24440C2semidirect
26. #24428C2semidirect
27. #23975C2semidirect
28. #23966C2semidirect
29. #23511C2semidirect
30. #23125C2semidirect
31. #22091C2semidirect
32. C2×#553C22semidirect
33. C2×#552C22semidirect
40. C2×#496C22semidirect
41. C2×#495C22semidirect
43. C2×#488C22semidirect
45. C2×#485C22semidirect
46. C2×#482C22semidirect
47. C2×#478C22semidirect
48. C2×#478C22semidirect
49. C2×#470C22semidirect
51. C2×#469C22semidirect
53. C2×#468C22semidirect
55. C2×#464C22semidirect
57. C2×#452C22semidirect
58. C2×#449C22semidirect
60. C2×#450C22semidirect
61. C2×#450C22semidirect
63. C2×#447C22semidirect
64. C2×#447C22semidirect
65. C2×#442C22semidirect
66. C2×C4×SD16C22semidirect
67. C2×#436C22semidirect
68. C2×#435C22semidirect
69. C2×#417C22semidirect
71. C2×#418C22semidirect
72. C2×#418C22semidirect
73. C2×#416C22semidirect
74. C22×#102C22semidirect
86. #2620C22semidirect
90. #2454C22semidirect
91. #2453C22semidirect
92. #2441C22semidirect
93. #2441C22semidirect
98. #2427C22semidirect
99. #2426C22semidirect
101. #2415C22semidirect
102. #2415C22semidirect
103. #2414C22semidirect
104. #2414C22semidirect
113. #2316C22semidirect
114. #2083C22semidirect
115. #2071C22semidirect
116. #2068C22semidirect
117. #2065C22semidirect
118. #2055C22semidirect
119. #2054C22semidirect
120. #2042C22semidirect
121. #2042C22semidirect
122. #2042C22semidirect
123. #2042C22semidirect
124. #2042C22semidirect
125. #2042C22semidirect
129. #2041C22semidirect
130. #2041C22semidirect
131. #2036C22semidirect
132. #2034C22semidirect
134. #2033C22semidirect
135. #2026C22semidirect
136. #2025C22semidirect
137. #2025C22semidirect
138. #2025C22semidirect
139. #2015C22semidirect
142. #2012C22semidirect
143. #2012C22semidirect
144. #2012C22semidirect
146. #2001C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
151. #2000C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1971C22semidirect
155. #1970C22semidirect
156. #1959C22semidirect
157. #1957C22semidirect
158. #1944C22semidirect
159. #1941C22semidirect
160. #1936C22semidirect
161. #1936C22semidirect
162. #1934C22semidirect
163. #1934C22semidirect
164. #1928C22semidirect
165. #1925C22semidirect
166. #1924C22semidirect
167. #1923C22semidirect
168. #1920C22semidirect
169. #1919C22semidirect
170. #1917C22semidirect
171. #1916C22semidirect
172. #1895C22semidirect
173. #1895C22semidirect
174. #1894C22semidirect
175. #1892C22semidirect
176. #1880C22semidirect
177. #1880C22semidirect
178. #1879C22semidirect
179. #1879C22semidirect
180. #1879C22semidirect
181. #1877C22semidirect
182. #1877C22semidirect
183. #1877C22semidirect
186. #1875C22semidirect
187. #1875C22semidirect
188. #1873C22semidirect
189. #1870C22semidirect
190. #1870C22semidirect
191. #1870C22semidirect
192. #1869C22semidirect
193. #1864C22semidirect
194. #1862C22semidirect
195. #1862C22semidirect
196. #1862C22semidirect
197. #1854C22semidirect
198. #1823C22semidirect
200. #1786C22semidirect
201. #1753C22semidirect
202. #1753C22semidirect
203. #1750C22semidirect
204. #1729C22semidirect
305. #481D4semidirect
769. C2×C4⋊C4C2×D4semidirect
848. #106C2×D4semidirect
849. #106C2×D4semidirect
895. C22⋊C8C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33232
C2×#33182
#448772
#426742
#311332
#311232
#308932
#308822
#307242
#307182
#304602
#304482
#285862
#272792
#272712
#269052
#268962
#257362
#254252
#254162
#251322
#251292
#244482
#244402
#244282
#239752
#239662
#235112
#231252
#220912