Finite Group Databasebeta

← #6996579

Subgroups — #6996579

Order 512.

2575 conjugacy classes of subgroups.

The subgroup lattice has 1738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3275C211yesmaximal, characteristic, complemented
2C2×#3265C211yesmaximal, characteristic, complemented
3#44877C211yesmaximal, characteristic, complemented
4#42883C211yesmaximal, characteristic, complemented
5#31004C211yesmaximal, characteristic, complemented
6#30996C211yesmaximal, characteristic, complemented
7#30750C211yesmaximal, characteristic, complemented
8#30740C211yesmaximal, characteristic, complemented
9#30513C211yesmaximal, characteristic, complemented
10#30512C211yesmaximal, characteristic, complemented
11#30463C211yesmaximal, characteristic, complemented
12#30447C211yesmaximal, characteristic, complemented
13#28584C211yesmaximal, characteristic, complemented
14#26986C211yesmaximal, characteristic, complemented
15#26971C211yesmaximal, characteristic, complemented
16#26602C211yesmaximal, characteristic, complemented
17#26587C211yesmaximal, characteristic, complemented
18#25794C211yesmaximal, characteristic, complemented
19#25793C211yesmaximal, characteristic, complemented
20#25734C211yesmaximal, characteristic, complemented
21#25132C211yesmaximal, characteristic, complemented
22#25131C211yesmaximal, characteristic, complemented
23#24440C211yesmaximal, characteristic, complemented
24#24428C211yesmaximal, characteristic, complemented
25#23871C211yesmaximal, characteristic, complemented
26#23860C211yesmaximal, characteristic, complemented
27#23860C211yesmaximal, characteristic, complemented
28#23858C211yesmaximal, characteristic, complemented
29#23423C211yesmaximal, characteristic, complemented
30#23125C211yesmaximal, characteristic, complemented
31#22058C211yesmaximal, characteristic, complemented
32C22×#137C2211yescharacteristic, complemented
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C23×SD16C2211yescharacteristic, complemented
36C2×#548C2211yescharacteristic, complemented
37C2×#548C2211yescharacteristic, complemented
38C2×#546C2211yescharacteristic
39C2×D42C2211yescharacteristic
40C2×D42C2211yescharacteristic
41C2×#535C2211yescharacteristic
42#3275—28no—
43#3265—28no—
44C2×#496C2211yescharacteristic
45C2×#496C2211yescharacteristic, complemented
46C2×#495C2211yescharacteristic, complemented
47C2×#493C2211yescharacteristic, complemented
48C2×#470C2211yescharacteristic, complemented
49C2×#469C2211yescharacteristic
50C2×#469C2211yescharacteristic, complemented
51C2×#468C2211yescharacteristic, complemented
52C2×#468C2211yescharacteristic, complemented
53C2×#466C2211yescharacteristic
54C2×#464C2211yescharacteristic, complemented
55C2×#460C2211yescharacteristic
56C2×#463C2211yescharacteristic, complemented
57C2×#463C2211yescharacteristic, complemented
58C2×#452C2211yescharacteristic, complemented
59C2×#452C2211yescharacteristic, complemented
60C2×#449C2211yescharacteristic
61C2×#449C2211yescharacteristic, complemented
62C2×#449C2211yescharacteristic, complemented
63C2×#449C2211yescharacteristic, complemented
64C2×#449C2211yescharacteristic, complemented
65C2×#449C2211yescharacteristic, complemented
66C2×#448C2211yescharacteristic
67C2×#450C2211yescharacteristic
68C2×#450C2211yescharacteristic, complemented
69C2×#447C2211yescharacteristic
70C2×#447C2211yescharacteristic, complemented
71C2×#447C2211yescharacteristic, complemented
72C2×#447C2211yescharacteristic, complemented
73C2×#440C2211yescharacteristic, complemented
74C2×C4×SD16C2211yescharacteristic, complemented
75C2×#436C2211yescharacteristic, complemented
76C2×#435C2211yescharacteristic, complemented
77C2×#418C2211yescharacteristic, complemented
78C2×#416C2211yescharacteristic, complemented
79#2815—21no—
80#2733—21no—
81#2730—21no—
82#2730—21no—
83#2728—21no—
84#2679—21no—
85#2678—21no—
86#2671—21no—
87#2668—21no—
88#2635—21no—
89#2635—21no—
90#2619C2211yescharacteristic, complemented
91#2600—21no—
92#2544C2211yescharacteristic
93#2540C2211yescharacteristic
94#2448C2211yescharacteristic, complemented
95#2448C2211yescharacteristic, complemented
96#2435C2211yescharacteristic
97#2433C2211yescharacteristic
98#2431C2211yescharacteristic, complemented
99#2431C2211yescharacteristic, complemented
100#2428C2211yescharacteristic
101#2427C2211yescharacteristic
102#2424—21no—
103#2421C2211yescharacteristic, complemented
104#2421C2211yescharacteristic, complemented
105#2414C2211yescharacteristic, complemented
106#2414C2211yescharacteristic, complemented
107#2410—21no—
108#2408—21no—
109#2408C2211yescharacteristic
110#2407C2211yescharacteristic
111#2407C2211yescharacteristic, complemented
112#2407C2211yescharacteristic, complemented
113#2403—21no—
114#2392C2211yescharacteristic
115#2366C2211yescharacteristic
116#2324C2211yescharacteristic
117#2310C2211yescharacteristic, complemented
118#2085C2211yescharacteristic, complemented
119#2073C2211yescharacteristic, complemented
120#2067C2211yescharacteristic, complemented
121#2065C2211yescharacteristic, complemented
122#2055C2211yescharacteristic, complemented
123#2054C2211yescharacteristic, complemented
124#2042C2211yescharacteristic, complemented
125#2041C2211yescharacteristic
126#2041C2211yescharacteristic, complemented
127#2036C2211yescharacteristic, complemented
128#2035C2211yescharacteristic, complemented
129#2034C2211yescharacteristic, complemented
130#2033C2211yescharacteristic, complemented
131#2015C2211yescharacteristic, complemented
132#2015C2211yescharacteristic, complemented
133#2015C2211yescharacteristic, complemented
134#2015C2211yescharacteristic, complemented
135#2015C2211yescharacteristic, complemented
136#2014C2211yescharacteristic
137#2014C2211yescharacteristic
138#2014C2211yescharacteristic, complemented
139#2014C2211yescharacteristic, complemented
140#2012C2211yescharacteristic, complemented
141#2012C2211yescharacteristic, complemented
142#2012C2211yescharacteristic, complemented
143#2012C2211yescharacteristic, complemented
144#2012C2211yescharacteristic, complemented
145#2012C2211yescharacteristic, complemented
146#2011C2211yescharacteristic
147#2011C2211yescharacteristic
148#2011C2211yescharacteristic
149#2011C2211yescharacteristic, complemented
150#2001C2211yescharacteristic, complemented
151#2000C2211yescharacteristic
152#2000C2211yescharacteristic, complemented
153#2000C2211yescharacteristic, complemented
154#2000C2211yescharacteristic, complemented
155#1999C2211yescharacteristic
156#1999C2211yescharacteristic, complemented
157#1999C2211yescharacteristic, complemented
158#1973C2211yescharacteristic, complemented
159#1972C2211yescharacteristic, complemented
160#1970C2211yescharacteristic, complemented
161#1968C2211yescharacteristic, complemented
162#1961C2211yescharacteristic, complemented
163#1958C2211yescharacteristic, complemented
164#1935C2211yescharacteristic, complemented
165#1935C2211yescharacteristic, complemented
166#1934C2211yescharacteristic, complemented
167#1933C2211yescharacteristic, complemented
168#1928C2211yescharacteristic, complemented
169#1927C2211yescharacteristic, complemented
170#1926C2211yescharacteristic, complemented
171#1925C2211yescharacteristic, complemented
172#1924C2211yescharacteristic, complemented
173#1923C2211yescharacteristic, complemented
174#1917C2211yescharacteristic, complemented
175#1916C2211yescharacteristic, complemented
176#1895C2211yescharacteristic
177#1895C2211yescharacteristic, complemented
178#1895C2211yescharacteristic, complemented
179#1893C2211yescharacteristic, complemented
180#1880C2211yescharacteristic, complemented
181#1880C2211yescharacteristic, complemented
182#1880C2211yescharacteristic, complemented
183#1879C2211yescharacteristic, complemented
184#1879C2211yescharacteristic, complemented
185#1879C2211yescharacteristic, complemented
186#1879C2211yescharacteristic, complemented
187#1878C2211yescharacteristic, complemented
188#1877C2211yescharacteristic, complemented
189#1877C2211yescharacteristic, complemented
190#1875C2211yescharacteristic
191#1870C2211yescharacteristic, complemented
192#1870C2211yescharacteristic, complemented
193#1870C2211yescharacteristic, complemented
194#1869C2211yescharacteristic, complemented
195#1864C2211yescharacteristic, complemented
196#1862C2211yescharacteristic, complemented
197#1854C2211yescharacteristic, complemented
198#1787C2211yescharacteristic, complemented
199#1786C2211yescharacteristic
200#1786C2211yescharacteristic, complemented
201#1753C2211yescharacteristic, complemented
202#1753C2211yescharacteristic, complemented
203#1750C2211yescharacteristic, complemented
204#1729C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C23×Q8C2311yescharacteristic
209C23×D4—21no—
210C23×D4—21no—
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C23×D4C2311yescharacteristic
214C2×#137—24no—
215C2×#137—42no—
216C2×#137—42no—
217C2×AGL(1,ℤ/8)—24no—
218C2×AGL(1,ℤ/8)—24no—
219C2×AGL(1,ℤ/8)—42no—
220C2×AGL(1,ℤ/8)—42no—
221C2×AGL(1,ℤ/8)—42no—
222C2×AGL(1,ℤ/8)—42no—
223C22×Q16C2311yescharacteristic
224C22×Q16C2311yescharacteristic
225C22×SD16—24no—
226C22×SD16—42no—
227C22×SD16—42no—
228C22×SD16C2311yescharacteristic
229C22×SD16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×SD16C2311yescharacteristic
232C22×SD16C2311yescharacteristic
233C22×SD16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×D8C2311yescharacteristic
239C22×D8C2311yescharacteristic
240C22×D8C2311yescharacteristic
241C22×D8C2311yescharacteristic
242C22×D8C2311yescharacteristic
243C22×D8C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×M16C2311yescharacteristic
247C22×M16C2311yescharacteristic
248C22×M16C2311yescharacteristic
249C23×C8C2311yescharacteristic
250#548—24no—
251#548—24no—
252#548—42no—
253#548—42no—
254#546—24no—
255#546—42no—
256D42—24no—
257D42—42no—
258D42—42no—
259D42—42no—
260#535—42no—
261#535—42no—
262C2×#127C2311yescharacteristic
263C2×#127C2311yescharacteristic
264C2×#127C2311yescharacteristic
265C2×#127C2311yescharacteristic
266C2×#124—21no—
267C2×#124—21no—
268C2×#124C2311yescharacteristic
269C2×#124C2311yescharacteristic
270C2×#124C2311yescharacteristic
271C2×#124C2311yescharacteristic
272C2×#124C2311yescharacteristic
273C2×#123—21no—
274C2×C22⋊Q8—21no—
275C2×C22⋊Q8—21no—
276C2×C22⋊Q8C2311yescharacteristic
277C2×C22⋊Q8C2311yescharacteristic
278C2×C22⋊Q8C2311yescharacteristic
279C2×C22⋊Q8C2311yescharacteristic
280C2×#121—21no—
281C2×#121—21no—
282C2×#121—21no—
283C2×#121—21no—
284C2×#121—21no—
285C2×#121—21no—
286C2×#121—21no—
287C2×#121—21no—
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#121C2311yescharacteristic
296C2×#121C2311yescharacteristic
297C2×#120—21no—
298C2×#120—21no—
299C2×#120—21no—
300C2×#120—21no—
301C2×#120—21no—
302C2×#120—21no—
303C2×#120—21no—
304C2×#120—21no—
305C2×#120—21no—
306C2×#120—21no—
307C2×C4×Q8C2311yescharacteristic
308C2×C4×Q8C2311yescharacteristic
309C2×C4×D4—21no—
310C2×C4×D4—21no—
311C2×C4×D4—21no—
312C2×C4×D4C2311yescharacteristic
313C2×C4×D4C2311yescharacteristic
314C2×C4×D4C2311yescharacteristic
315C2×C4×D4C2311yescharacteristic
316C2×C4×D4C2311yescharacteristic
317C2×C4×D4C2311yescharacteristic
318C2×#117C2311yescharacteristic
319C2×#117C2311yescharacteristic
320C22×C22⋊C4—21no—
321#496—24no—
322#496—42no—
323#495—24no—
324#493—42no—
325#470—24no—
326#469—24no—
327#469—42no—
328#468—24no—
329#468—42no—
330#466—24no—
331#464—24no—
332#463—24no—
333#463—24no—
334#460—24no—
335#452—24no—
336#452—42no—
337#450—24no—
338#450—24no—
339#449—24no—
340#449—24no—
341#449—42no—
342#449—42no—
343#449—42no—
344#449—42no—
345#448D418yescomplemented
346#447—24no—
347#447—42no—
348#447—42no—
349#447—42no—
350#440—24no—
351C4×SD16—24no—
352#436—24no—
353#435—24no—
354C2×#107C2311yescharacteristic
355C2×#107C2311yescharacteristic
356C2×#106C2311yescharacteristic
357C2×#106C2311yescharacteristic
358C2×C4⋊C8C2311yescharacteristic
359C2×C4⋊C8C2311yescharacteristic
360#418—42no—
361#416—42no—
362C2×#103C2311yescharacteristic
363C2×#103C2311yescharacteristic
364C2×#103C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#103C2311yescharacteristic
372C2×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
395C2×C22⋊C8C2311yescharacteristic
396C2×C22⋊C8C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C2×C22⋊C8C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×#97C2311yescharacteristic
403C2×#97C2311yescharacteristic
404C2×C4×C8C2311yescharacteristic
405C2×C4×C8C2311yescharacteristic
406#400—21no—
407#400—21no—
408#399—21no—
409#399—21no—
410#399—21no—
411#398D411yescharacteristic
412#397—21no—
413#397—21no—
414#397—21no—
415#397—21no—
416#397—21no—
417#397D411yescharacteristic
418#396D411yescharacteristic
419#396D411yescharacteristic
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#394D411yescharacteristic
435#394D411yescharacteristic
436#394D411yescharacteristic
437#392—21no—
438#392—21no—
439#392—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#392—21no—
452#392—21no—
453#392D411yescharacteristic
454#391—21no—
455#391—21no—
456#391C2311yescharacteristic
457#391C2311yescharacteristic
458#391C2311yescharacteristic
459#391C2311yescharacteristic
460#391C2311yescharacteristic
461#390—21no—
462#390—21no—
463#390—21no—
464#390—21no—
465#390—21no—
466#390—21no—
467#390C2311yescharacteristic
468#390C2311yescharacteristic
469#390C2311yescharacteristic
470#390C2311yescharacteristic
471#390C2311yescharacteristic
472#390C2311yescharacteristic
473#390C2311yescharacteristic
474#390C2311yescharacteristic
475#389C2311yescharacteristic
476#389C2311yescharacteristic
477#389C2311yescharacteristic
478#388—21no—
479#388—21no—
480#388—21no—
481#388—21no—
482#388—21no—
483#388—21no—
484#388—21no—
485#388—21no—
486#388—21no—
487#387—21no—
488#387—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#386—21no—
499#386—21no—
500#386—21no—
501#386—21no—
502#386—21no—
503#385—21no—
504#385—21no—
505#385—21no—
506#385—21no—
507#382C2311yescharacteristic
508#381—21no—
509#381—21no—
510#380—21no—
511#380C2311yescharacteristic
512#380C2311yescharacteristic
513#380C2311yescharacteristic
514#379—21no—
515#379—21no—
516#379—21no—
517C4×C4⋊C4C2311yescharacteristic
518C4×C4⋊C4C2311yescharacteristic
519C4×C22⋊C4C2311yescharacteristic
520C4×C22⋊C4C2311yescharacteristic
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—41no—
548C2×#41—41no—
549C2×#41—41no—
550C2×#41—41no—
551C2×#41—41no—
552C2×#41—41no—
553C2×#41—41no—
554C2×#41—41no—
555C2×#41—41no—
556C2×#41—41no—
557C2×#41—41no—
558C2×#41—41no—
559C2×#41—41no—
560C22×Q8—21no—
561C22×Q8—22no—
562C22×Q8—41no—
563C22×Q8—41no—
564C22×Q8—41no—
565C22×Q8—41no—
566C22×Q8C2×D414yescomplemented
567C22×Q8C2411yescharacteristic
568C22×Q8C2411yescharacteristic
569C22×Q8C2411yescharacteristic
570C22×D4—21no—
571C22×D4—22no—
572C22×D4—22no—
573C22×D4—22no—
574C22×D4—22no—
575C22×D4—22no—
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—22no—
590C22×D4—21no—
591C22×D4—21no—
592C22×D4—21no—
593C22×D4—21no—
594C22×D4—21no—
595C22×D4—21no—
596C22×D4—21no—
597C22×D4—21no—
598C22×D4—21no—
599C22×D4—22no—
600C22×D4—41no—
601C22×D4—41no—
602C22×D4—41no—
603C22×D4—41no—
604C22×D4—41no—
605C22×D4—41no—
606C22×D4—41no—
607C22×D4—41no—
608C22×D4—41no—
609C22×D4—41no—
610C22×D4—41no—
611C22×D4—44no—
612C22×D4—44no—
613C22×D4—82no—
614C22×D4—82no—
615C22×D4—82no—
616C22×D4—82no—
617C22×D4C2×D411yescharacteristic
618C22×D4C2×D411yescharacteristic
619C22×D4C2×D411yescharacteristic
620C22×D4C2411yescharacteristic
621C22×D4C2411yescharacteristic
622C22×D4C2411yescharacteristic
623C22×D4C2411yescharacteristic
624C22×D4C2411yescharacteristic
625C22×D4C2411yescharacteristic
626C23×C4—21no—
627C23×C4—21no—
628C23×C4—21no—
629C23×C4—21no—
630C23×C4—21no—
631C23×C4—21no—
632C23×C4—21no—
633C23×C4C2411yescharacteristic
634C23×C4C2411yescharacteristic
635C23×C4C2411yescharacteristic
636#137—416no—
637AGL(1,ℤ/8)—416no—
638AGL(1,ℤ/8)—416no—
639C2×Q16—22no—
640C2×Q16—22no—
641C2×Q16—22no—
642C2×Q16—41no—
643C2×Q16—41no—
644C2×Q16—41no—
645C2×SD16—22no—
646C2×SD16—22no—
647C2×SD16—22no—
648C2×SD16—22no—
649C2×SD16—22no—
650C2×SD16—22no—
651C2×SD16—22no—
652C2×SD16—22no—
653C2×SD16—22no—
654C2×SD16—22no—
655C2×SD16—22no—
656C2×SD16—22no—
657C2×SD16—22no—
658C2×SD16—22no—
659C2×SD16—41no—
660C2×SD16—41no—
661C2×SD16—41no—
662C2×SD16—41no—
663C2×SD16—41no—
664C2×SD16—41no—
665C2×SD16—41no—
666C2×SD16—41no—
667C2×SD16—41no—
668C2×SD16—41no—
669C2×SD16—41no—
670C2×SD16—41no—
671C2×SD16—41no—
672C2×SD16—41no—
673C2×SD16—416no—
674C2×SD16C2×D414yes—
675C2×SD16C2×D414yes—
676C2×D8—22no—
677C2×D8—22no—
678C2×D8—22no—
679C2×D8—22no—
680C2×D8—22no—
681C2×D8—22no—
682C2×D8—22no—
683C2×D8—22no—
684C2×D8—22no—
685C2×D8—22no—
686C2×D8—22no—
687C2×D8—41no—
688C2×D8—41no—
689C2×D8—41no—
690C2×D8—41no—
691C2×D8—41no—
692C2×D8—41no—
693C2×D8—41no—
694C2×D8—41no—
695C2×D8—41no—
696C2×D8—41no—
697C2×D8—41no—
698C2×D8—41no—
699C2×D8—41no—
700C2×M16—22no—
701C2×M16—22no—
702C2×M16—22no—
703C2×M16—22no—
704C2×M16—22no—
705C2×M16—22no—
706C2×M16—41no—
707C2×M16—41no—
708C2×M16—41no—
709C22×C8—22no—
710C22×C8—22no—
711C22×C8—41no—
712C22×C8C2411yescharacteristic
713C22×C8C2411yescharacteristic
714C22×C8C2411yescharacteristic
715C22×C8C2411yescharacteristic
716C22×C8C2411yescharacteristic
717C22×C8C2411yescharacteristic
718C22×C8C2411yescharacteristic
719C22×C8C2411yescharacteristic
720#127—22no—
721#127—22no—
722#127—22no—
723#127—22no—
724#127—41no—
725#127—41no—
726#127—41no—
727#127—41no—
728#124—22no—
729#124—22no—
730#124—22no—
731#124—22no—
732#124—41no—
733#124—41no—
734#124—41no—
735#124—41no—
736#124—41no—
737#124—41no—
738#124—44no—
739#124—44no—
740#123—44no—
741C22⋊Q8—22no—
742C22⋊Q8—22no—
743C22⋊Q8—22no—
744C22⋊Q8—41no—
745C22⋊Q8—41no—
746C22⋊Q8—41no—
747C22⋊Q8—44no—
748C22⋊Q8—44no—
749C22⋊Q8—41no—
750C22⋊Q8—41no—
751#121—22no—
752#121—22no—
753#121—22no—
754#121—22no—
755#121—22no—
756#121—22no—
757#121—22no—
758#121—22no—
759#121—44no—
760#121—44no—
761#121—41no—
762#121—41no—
763#121—41no—
764#121—44no—
765#121—44no—
766#121—44no—
767#121—44no—
768#121—44no—
769#121—41no—
770#121—41no—
771#121—41no—
772#121—41no—
773#121—41no—
774#121—41no—
775#121—82no—
776#121C2×D414yes—
777#120—44no—
778#120—44no—
779#120—44no—
780#120—44no—
781#120—44no—
782#120—44no—
783#120—44no—
784#120—82no—
785#120—82no—
786#120—82no—
787C4×Q8—22no—
788C4×Q8—22no—
789C4×Q8—41no—
790C4×Q8—41no—
791C4×D4—22no—
792C4×D4—22no—
793C4×D4—22no—
794C4×D4—22no—
795C4×D4—22no—
796C4×D4—22no—
797C4×D4—41no—
798C4×D4—41no—
799C4×D4—41no—
800C4×D4—41no—
801C4×D4—41no—
802C4×D4—41no—
803C4×D4—44no—
804C4×D4—44no—
805C4×D4—82no—
806#117—41no—
807#117—41no—
808#117—41no—
809#117—41no—
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⋊C4C2×D411yescharacteristic
820C2×C4⋊C4C2×D411yescharacteristic
821C2×C4⋊C4C2×D411yescharacteristic
822C2×C4⋊C4C2×D411yescharacteristic
823C2×C4⋊C4C2×D411yescharacteristic
824C2×C4⋊C4C2×D411yescharacteristic
825C2×C4⋊C4C2×D411yescharacteristic
826C2×C4⋊C4C2411yescharacteristic
827C2×C4⋊C4C2411yescharacteristic
828C2×C4⋊C4C2411yescharacteristic
829C2×C4⋊C4C2411yescharacteristic
830C2×C4⋊C4C2411yescharacteristic
831C2×C4⋊C4C2411yescharacteristic
832C2×C4⋊C4C2411yescharacteristic
833C2×C22⋊C4—21no—
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—44no—
880C2×C22⋊C4C2×D411yescharacteristic
881C2×C22⋊C4C2×D411yescharacteristic
882C2×C22⋊C4C2×D411yescharacteristic
883C2×C22⋊C4C2×D411yescharacteristic
884C2×C22⋊C4C2×D411yescharacteristic
885C2×C22⋊C4C2×D411yescharacteristic
886C2×C22⋊C4C2×D411yescharacteristic
887C2×C22⋊C4C2×D411yescharacteristic
888C2×C22⋊C4C2×D411yescharacteristic
889C2×C22⋊C4C2×D411yescharacteristic
890C2×C22⋊C4C2×D411yescharacteristic
891C2×C22⋊C4C2×D411yescharacteristic
892C2×C42—21no—
893C2×C42—21no—
894C2×C42—21no—
895C2×C42—21no—
896C2×C42C2411yescharacteristic
897C2×C42C2411yescharacteristic
898C2×C42C2411yescharacteristic
899C2×C42C2411yescharacteristic
900#107—22no—
901#107—41no—
902#106—22no—
903#106—41no—
904C4⋊C8—22no—
905C4⋊C8—22no—
906#103—22no—
907#103—22no—
908#103—41no—
909#103—41no—
910#103—41no—
911#103—41no—
912#103—41no—
913#103—41no—
914#103C2×D414yescomplemented
915#103C2×D414yescomplemented
916#102—22no—
917#102—22no—
918#102—22no—
919#102—22no—
920#102—22no—
921#102—22no—
922#102—22no—
923#102—22no—
924#102—22no—
925#102—22no—
926#102—22no—
927#102—22no—
928#102—41no—
929#102—41no—
930#102—41no—
931#102—41no—
932#102—41no—
933#102—41no—
934#102—41no—
935#102—41no—
936#102—41no—
937#102—41no—
938C22⋊C8—22no—
939C22⋊C8—22no—
940C22⋊C8—22no—
941C22⋊C8—22no—
942C22⋊C8—22no—
943C22⋊C8—41no—
944C22⋊C8—41no—
945C22⋊C8C2×D414yescomplemented
946#97—22no—
947#97—41no—
948C4×C8—22no—
949C4×C8—41no—
950#95—21no—
951#95—21no—
952#95—21no—
953#95—21no—
954#95—21no—
955#95—21no—
956#95—21no—
957#95—21no—
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#95—21no—
969#95C2×D411yescharacteristic
970#95C2×D411yescharacteristic
971#95C2×D411yescharacteristic
972#95C2×D411yescharacteristic
973#95C2×D411yescharacteristic
974#95C2×D411yescharacteristic
975C24—21no—
976C24—21no—
977C24—21no—
978C24—21no—
979C24—21no—
980C24—21no—
981C24—42no—
982C24—42no—
983C24—42no—
984C24—42no—
985C24—42no—
986C24—42no—
987C24—42no—
988C24—42no—
989C24—81no—
990C24—81no—
991C24—81no—
992C24—81no—
993C24—81no—
994C24—81no—
995C24—81no—
996C24—81no—
997C24—81no—
998C24—81no—
999C24—81no—
1000C24—81no—
1001C24—81no—
1002C24C22×D411yescharacteristic
1003C24C22×D411yescharacteristic
1004C24C22×D411yescharacteristic
1005#41—44no—
1006#41—44no—
1007#41—44no—
1008#41—44no—
1009#41—82no—
1010#41—82no—
1011#41—82no—
1012#41—82no—
1013#41—82no—
1014#41—82no—
1015#41—82no—
1016#41—82no—
1017C2×Q8—24no—
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—21no—
1033C2×Q8—21no—
1034C2×Q8—44no—
1035C2×Q8—44no—
1036C2×Q8—81no—
1037C2×Q8—81no—
1038C2×Q8—82no—
1039C2×Q8—82no—
1040C2×Q8C22×D412yes—
1041C2×Q8C22×D412yes—
1042C2×D4—22no—
1043C2×D4—24no—
1044C2×D4—24no—
1045C2×D4—22no—
1046C2×D4—24no—
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—44no—
1081C2×D4—44no—
1082C2×D4—41no—
1083C2×D4—41no—
1084C2×D4—41no—
1085C2×D4—41no—
1086C2×D4—41no—
1087C2×D4—41no—
1088C2×D4—41no—
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—44no—
1103C2×D4—44no—
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—82no—
1116C2×D4—82no—
1117C2×D4—81no—
1118C2×D4—81no—
1119C2×D4—81no—
1120C2×D4—81no—
1121C2×D4—81no—
1122C2×D4—81no—
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—82no—
1138C2×D4—82no—
1139C2×D4—82no—
1140C2×D4—82no—
1141C2×D4—82no—
1142C2×D4—82no—
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—81no—
1153C2×D4—81no—
1154C2×D4—81no—
1155C2×D4—81no—
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×D4—816no—
1167C2×D4C22×D412yes—
1168C2×D4H(5,𝔽2)12yes—
1169C2×D4H(5,𝔽2)12yes—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—24no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—81no—
1206C22×C4—81no—
1207C22×C4—81no—
1208C22×C4—81no—
1209C22×C4—81no—
1210C22×C4—81no—
1211C22×C4—81no—
1212C22×C4—81no—
1213C22×C4—81no—
1214C22×C4—81no—
1215C22×C4—81no—
1216C22×C4—81no—
1217C22×C4C22×D411yescharacteristic
1218C22×C4C22×D411yescharacteristic
1219C22×C4C22×D411yescharacteristic
1220C22×C4C22×D411yescharacteristic
1221C22×C4C22×D411yescharacteristic
1222C22×C4C22×D411yescharacteristic
1223C22×C4C22×D411yescharacteristic
1224C22×C4C22×D411yescharacteristic
1225C22×C4C22×D411yescharacteristic
1226C22×C4C22×D411yescharacteristic
1227C22×C4C22×D411yescharacteristic
1228C22×C4C22×D412yes—
1229C22×C4H(5,𝔽2)12yes—
1230C22×C4C2511yescharacteristic
1231Q16—44no—
1232Q16—44no—
1233SD16—28no—
1234SD16—28no—
1235SD16—44no—
1236SD16—44no—
1237SD16—44no—
1238SD16—44no—
1239SD16—44no—
1240SD16—44no—
1241SD16—82no—
1242SD16—82no—
1243D8—44no—
1244D8—44no—
1245D8—44no—
1246D8—44no—
1247D8—82no—
1248D8—82no—
1249D8—82no—
1250D8—82no—
1251M16—44no—
1252M16—44no—
1253M16—44no—
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×C8—21no—
1273C2×C8—21no—
1274C2×C8—44no—
1275C2×C8C22×D412yes—
1276C2×C8C22×D412yes—
1277C2×C8H(5,𝔽2)12yes—
1278C2×C8H(5,𝔽2)12yes—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
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—21no—
1292C4⋊C4—21no—
1293C4⋊C4—21no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—81no—
1305C4⋊C4—81no—
1306C4⋊C4—81no—
1307C4⋊C4—81no—
1308C4⋊C4C22×D412yes—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—24no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
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—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
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—21no—
1368C42—21no—
1369C42—21no—
1370C42—21no—
1371C42—21no—
1372C42—21no—
1373C42—21no—
1374C42—21no—
1375C42—42no—
1376C42—42no—
1377C42—81no—
1378C42—81no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
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—21no—
1395C23—22no—
1396C23—22no—
1397C23—21no—
1398C23—21no—
1399C23—22no—
1400C23—21no—
1401C23—21no—
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—84no—
1442C23—84no—
1443C23—84no—
1444C23—84no—
1445C23—84no—
1446C23—84no—
1447C23—84no—
1448C23—84no—
1449C23—162no—
1450C23—162no—
1451C23—162no—
1452C23—162no—
1453C23—162no—
1454C23—162no—
1455C23—162no—
1456C23—162no—
1457C23—162no—
1458C23—162no—
1459C23—162no—
1460C23—162no—
1461C23—162no—
1462C23D4212yes—
1463C23C23×D411yescharacteristic
1464Q8—22no—
1465Q8—22no—
1466Q8—22no—
1467Q8—22no—
1468Q8—41no—
1469Q8—41no—
1470Q8—41no—
1471Q8—41no—
1472Q8—41no—
1473Q8—41no—
1474Q8—41no—
1475Q8—41no—
1476Q8—84no—
1477D4—22no—
1478D4—22no—
1479D4—22no—
1480D4—22no—
1481D4—22no—
1482D4—22no—
1483D4—44no—
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—84no—
1504D4—82no—
1505D4—84no—
1506D4—84no—
1507D4—84no—
1508D4—84no—
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—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
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—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—41no—
1567C2×C4—41no—
1568C2×C4—41no—
1569C2×C4—41no—
1570C2×C4—41no—
1571C2×C4—41no—
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—84no—
1602C2×C4—84no—
1603C2×C4—84no—
1604C2×C4—84no—
1605C2×C4—84no—
1606C2×C4—84no—
1607C2×C4—162no—
1608C2×C4D4212yes—
1609C2×C4C23×D411yescharacteristic
1610C2×C4C2×H(5,𝔽2)11yescharacteristic
1611C2×C4C2×H(5,𝔽2)11yescharacteristic
1612C2×C4C2×H(5,𝔽2)11yescharacteristic
1613C2×C4C2×H(5,𝔽2)11yescharacteristic
1614C2×C4C2×H(5,𝔽2)11yescharacteristic
1615C8—22no—
1616C8—22no—
1617C8—22no—
1618C8—22no—
1619C8—41no—
1620C8—41no—
1621C8—41no—
1622C8—41no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—42no—
1634C22—41no—
1635C22—41no—
1636C22—42no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—42no—
1641C22—42no—
1642C22—41no—
1643C22—41no—
1644C22—42no—
1645C22—42no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
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—168no—
1687C22—168no—
1688C22—168no—
1689C22C2×D4211yescharacteristic
1690C22#348411yescharacteristic
1691C22#349811yescharacteristic
1692C22#358411yescharacteristic
1693C22#358511yescharacteristic
1694C22#358511yescharacteristic
1695C22#358511yescharacteristic
1696C4—22no—
1697C4—41no—
1698C4—41no—
1699C4—42no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—42no—
1709C4—42no—
1710C4—81no—
1711C4—81no—
1712C4—81no—
1713C4—81no—
1714C4—81no—
1715C4—81no—
1716C4—81no—
1717C4#348411yescharacteristic
1718C4#348411yescharacteristic
1719C4#353711yescharacteristic
1720C4#353711yescharacteristic
1721C2—42no—
1722C2—81no—
1723C2—81no—
1724C2—82no—
1725C2—82no—
1726C2—82no—
1727C2—161no—
1728C2—161no—
1729C2—161no—
1730C2#4300111yescharacteristic
1731C2#6105911yescharacteristic
1732C2#6107711yescharacteristic
1733C2#6164411yescharacteristic
1734C2#6167811yescharacteristic
1735C2#6244111yescharacteristic
1736C2#6246811yescharacteristic
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×#3275C2semidirect
2. C2×#3265C2semidirect
3. #44877C2semidirect
4. #42883C2semidirect
5. #31004C2semidirect
6. #30996C2semidirect
7. #30750C2semidirect
8. #30740C2semidirect
9. #30513C2semidirect
10. #30512C2semidirect
11. #30463C2semidirect
12. #30447C2semidirect
13. #28584C2semidirect
14. #26986C2semidirect
15. #26971C2semidirect
16. #26602C2semidirect
17. #26587C2semidirect
18. #25794C2semidirect
19. #25793C2semidirect
20. #25734C2semidirect
21. #25132C2semidirect
22. #25131C2semidirect
23. #24440C2semidirect
24. #24428C2semidirect
25. #23871C2semidirect
26. #23860C2semidirect
27. #23860C2semidirect
28. #23858C2semidirect
29. #23423C2semidirect
30. #23125C2semidirect
31. #22058C2semidirect
32. C22×#137C22semidirect
34. C22×AGL(1,ℤ/8)C22semidirect
35. C23×SD16C22semidirect
36. C2×#548C22semidirect
37. C2×#548C22semidirect
45. C2×#496C22semidirect
46. C2×#495C22semidirect
47. C2×#493C22semidirect
48. C2×#470C22semidirect
50. C2×#469C22semidirect
51. C2×#468C22semidirect
52. C2×#468C22semidirect
54. C2×#464C22semidirect
56. C2×#463C22semidirect
57. C2×#463C22semidirect
58. C2×#452C22semidirect
59. C2×#452C22semidirect
61. C2×#449C22semidirect
62. C2×#449C22semidirect
63. C2×#449C22semidirect
64. C2×#449C22semidirect
65. C2×#449C22semidirect
68. C2×#450C22semidirect
70. C2×#447C22semidirect
71. C2×#447C22semidirect
72. C2×#447C22semidirect
73. C2×#440C22semidirect
74. C2×C4×SD16C22semidirect
75. C2×#436C22semidirect
76. C2×#435C22semidirect
77. C2×#418C22semidirect
78. C2×#416C22semidirect
90. #2619C22semidirect
94. #2448C22semidirect
95. #2448C22semidirect
98. #2431C22semidirect
99. #2431C22semidirect
103. #2421C22semidirect
104. #2421C22semidirect
105. #2414C22semidirect
106. #2414C22semidirect
111. #2407C22semidirect
112. #2407C22semidirect
117. #2310C22semidirect
118. #2085C22semidirect
119. #2073C22semidirect
120. #2067C22semidirect
121. #2065C22semidirect
122. #2055C22semidirect
123. #2054C22semidirect
124. #2042C22semidirect
126. #2041C22semidirect
127. #2036C22semidirect
128. #2035C22semidirect
129. #2034C22semidirect
130. #2033C22semidirect
131. #2015C22semidirect
132. #2015C22semidirect
133. #2015C22semidirect
134. #2015C22semidirect
135. #2015C22semidirect
138. #2014C22semidirect
139. #2014C22semidirect
140. #2012C22semidirect
141. #2012C22semidirect
142. #2012C22semidirect
143. #2012C22semidirect
144. #2012C22semidirect
145. #2012C22semidirect
149. #2011C22semidirect
150. #2001C22semidirect
152. #2000C22semidirect
153. #2000C22semidirect
154. #2000C22semidirect
156. #1999C22semidirect
157. #1999C22semidirect
158. #1973C22semidirect
159. #1972C22semidirect
160. #1970C22semidirect
161. #1968C22semidirect
162. #1961C22semidirect
163. #1958C22semidirect
164. #1935C22semidirect
165. #1935C22semidirect
166. #1934C22semidirect
167. #1933C22semidirect
168. #1928C22semidirect
169. #1927C22semidirect
170. #1926C22semidirect
171. #1925C22semidirect
172. #1924C22semidirect
173. #1923C22semidirect
174. #1917C22semidirect
175. #1916C22semidirect
177. #1895C22semidirect
178. #1895C22semidirect
179. #1893C22semidirect
180. #1880C22semidirect
181. #1880C22semidirect
182. #1880C22semidirect
183. #1879C22semidirect
184. #1879C22semidirect
185. #1879C22semidirect
186. #1879C22semidirect
187. #1878C22semidirect
188. #1877C22semidirect
189. #1877C22semidirect
191. #1870C22semidirect
192. #1870C22semidirect
193. #1870C22semidirect
194. #1869C22semidirect
195. #1864C22semidirect
196. #1862C22semidirect
197. #1854C22semidirect
198. #1787C22semidirect
200. #1786C22semidirect
201. #1753C22semidirect
202. #1753C22semidirect
203. #1750C22semidirect
204. #1729C22semidirect
345. #448D4semidirect
566. C22×Q8C2×D4semidirect
914. #103C2×D4semidirect
915. #103C2×D4semidirect
945. C22⋊C8C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32752
C2×#32652
#448772
#428832
#310042
#309962
#307502
#307402
#305132
#305122
#304632
#304472
#285842
#269862
#269712
#266022
#265872
#257942
#257932
#257342
#251322
#251312
#244402
#244282
#238712
#238602
#238582
#234232
#231252
#220582