Finite Group Databasebeta

← #6996481

Subgroups — #6996481

Order 512.

2551 conjugacy classes of subgroups.

The subgroup lattice has 1735 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3280C211yesmaximal, characteristic, complemented
2C2×#3265C211yesmaximal, characteristic, complemented
3#45263C211yesmaximal, characteristic, complemented
4#42474C211yesmaximal, characteristic, complemented
5#31010C211yesmaximal, characteristic, complemented
6#30985C211yesmaximal, characteristic, complemented
7#30763C211yesmaximal, characteristic, complemented
8#30747C211yesmaximal, characteristic, complemented
9#30505C211yesmaximal, characteristic, complemented
10#30499C211yesmaximal, characteristic, complemented
11#30468C211yesmaximal, characteristic, complemented
12#30458C211yesmaximal, characteristic, complemented
13#28590C211yesmaximal, characteristic, complemented
14#26975C211yesmaximal, characteristic, complemented
15#26961C211yesmaximal, characteristic, complemented
16#26613C211yesmaximal, characteristic, complemented
17#26593C211yesmaximal, characteristic, complemented
18#25785C211yesmaximal, characteristic, complemented
19#25776C211yesmaximal, characteristic, complemented
20#25736C211yesmaximal, characteristic, complemented
21#25120C211yesmaximal, characteristic, complemented
22#25109C211yesmaximal, characteristic, complemented
23#24450C211yesmaximal, characteristic, complemented
24#24433C211yesmaximal, characteristic, complemented
25#23863C211yesmaximal, characteristic, complemented
26#23858C211yesmaximal, characteristic, complemented
27#23854C211yesmaximal, characteristic, complemented
28#23848C211yesmaximal, characteristic, complemented
29#23422C211yesmaximal, characteristic, complemented
30#23123C211yesmaximal, characteristic, complemented
31#22052C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×#135C2211yescharacteristic, complemented
34C23×SD16C2211yescharacteristic, complemented
35C23×D8C2211yescharacteristic
36C2×#548C2211yescharacteristic
37C2×#548C2211yescharacteristic, complemented
38C2×#546C2211yescharacteristic
39C2×#546C2211yescharacteristic, complemented
40C2×D42C2211yescharacteristic
41C2×#535C2211yescharacteristic, complemented
42#3280—28no—
43#3265—28no—
44C2×#496C2211yescharacteristic, complemented
45C2×#496C2211yescharacteristic, complemented
46C2×#495C2211yescharacteristic
47C2×#495C2211yescharacteristic, complemented
48C2×#468C2211yescharacteristic
49C2×#467C2211yescharacteristic, complemented
50C2×#466C2211yescharacteristic
51C2×#466C2211yescharacteristic, complemented
52C2×#466C2211yescharacteristic, complemented
53C2×#465C2211yescharacteristic, complemented
54C2×#460C2211yescharacteristic, complemented
55C2×#463C2211yescharacteristic
56C2×#463C2211yescharacteristic, complemented
57C2×#463C2211yescharacteristic, complemented
58C2×#452C2211yescharacteristic, complemented
59C2×#452C2211yescharacteristic, complemented
60C2×#449C2211yescharacteristic
61C2×#449C2211yescharacteristic
62C2×#449C2211yescharacteristic, complemented
63C2×#449C2211yescharacteristic, complemented
64C2×#449C2211yescharacteristic, complemented
65C2×#451C2211yescharacteristic, complemented
66C2×#448C2211yescharacteristic, complemented
67C2×#450C2211yescharacteristic
68C2×#450C2211yescharacteristic, complemented
69C2×#447C2211yescharacteristic
70C2×#447C2211yescharacteristic
71C2×#447C2211yescharacteristic
72C2×#447C2211yescharacteristic, complemented
73C2×#440C2211yescharacteristic, complemented
74C2×C4×D8C2211yescharacteristic, complemented
75C2×#435C2211yescharacteristic
76C2×C8×D4C2211yescharacteristic, complemented
77C2×#418C2211yescharacteristic, complemented
78C2×#416C2211yescharacteristic, complemented
79#2812—21no—
80#2701—21no—
81#2697—21no—
82#2682—21no—
83#2681—21no—
84#2678—21no—
85#2676—21no—
86#2670—21no—
87#2669—21no—
88#2622—21no—
89#2620C2211yescharacteristic
90#2613—21no—
91#2548C2211yescharacteristic, complemented
92#2541C2211yescharacteristic, complemented
93#2472—21no—
94#2456—21no—
95#2447C2211yescharacteristic, complemented
96#2445C2211yescharacteristic, complemented
97#2436C2211yescharacteristic, complemented
98#2435C2211yescharacteristic, complemented
99#2431C2211yescharacteristic, complemented
100#2431C2211yescharacteristic, complemented
101#2428—21no—
102#2428C2211yescharacteristic, complemented
103#2426C2211yescharacteristic, complemented
104#2424—21no—
105#2422C2211yescharacteristic, complemented
106#2422C2211yescharacteristic, complemented
107#2415C2211yescharacteristic
108#2414C2211yescharacteristic
109#2408C2211yescharacteristic
110#2408C2211yescharacteristic, complemented
111#2407C2211yescharacteristic, complemented
112#2407C2211yescharacteristic, complemented
113#2405—21no—
114#2392C2211yescharacteristic
115#2367C2211yescharacteristic, complemented
116#2323C2211yescharacteristic, complemented
117#2309C2211yescharacteristic
118#2083C2211yescharacteristic, complemented
119#2072C2211yescharacteristic, complemented
120#2068C2211yescharacteristic, complemented
121#2065C2211yescharacteristic, complemented
122#2055C2211yescharacteristic, complemented
123#2054C2211yescharacteristic, complemented
124#2042C2211yescharacteristic, complemented
125#2042C2211yescharacteristic, complemented
126#2042C2211yescharacteristic, complemented
127#2034C2211yescharacteristic, complemented
128#2033C2211yescharacteristic, complemented
129#2033C2211yescharacteristic, complemented
130#2033C2211yescharacteristic, complemented
131#2015C2211yescharacteristic, complemented
132#2015C2211yescharacteristic, complemented
133#2015C2211yescharacteristic, complemented
134#2015C2211yescharacteristic, complemented
135#2014C2211yescharacteristic, complemented
136#2012C2211yescharacteristic
137#2012C2211yescharacteristic
138#2012C2211yescharacteristic, complemented
139#2012C2211yescharacteristic, complemented
140#2012C2211yescharacteristic, complemented
141#2012C2211yescharacteristic, complemented
142#2012C2211yescharacteristic, complemented
143#2011C2211yescharacteristic
144#2011C2211yescharacteristic
145#2011C2211yescharacteristic
146#2011C2211yescharacteristic
147#2011C2211yescharacteristic, complemented
148#2011C2211yescharacteristic, complemented
149#2011C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#2000C2211yescharacteristic, complemented
152#2000C2211yescharacteristic, complemented
153#2000C2211yescharacteristic, complemented
154#1999C2211yescharacteristic
155#1999C2211yescharacteristic
156#1999C2211yescharacteristic, complemented
157#1999C2211yescharacteristic, complemented
158#1973C2211yescharacteristic, complemented
159#1973C2211yescharacteristic, complemented
160#1968C2211yescharacteristic, complemented
161#1968C2211yescharacteristic, complemented
162#1959C2211yescharacteristic, complemented
163#1957C2211yescharacteristic, complemented
164#1936C2211yescharacteristic, complemented
165#1936C2211yescharacteristic, complemented
166#1934C2211yescharacteristic, complemented
167#1934C2211yescharacteristic, complemented
168#1928C2211yescharacteristic, complemented
169#1926C2211yescharacteristic, complemented
170#1925C2211yescharacteristic, complemented
171#1925C2211yescharacteristic, complemented
172#1924C2211yescharacteristic, complemented
173#1923C2211yescharacteristic, complemented
174#1917C2211yescharacteristic, complemented
175#1916C2211yescharacteristic, complemented
176#1894C2211yescharacteristic, complemented
177#1893C2211yescharacteristic
178#1893C2211yescharacteristic, complemented
179#1892C2211yescharacteristic, complemented
180#1880C2211yescharacteristic, complemented
181#1880C2211yescharacteristic, complemented
182#1880C2211yescharacteristic, complemented
183#1879C2211yescharacteristic
184#1879C2211yescharacteristic
185#1879C2211yescharacteristic, complemented
186#1879C2211yescharacteristic, complemented
187#1878C2211yescharacteristic, complemented
188#1878C2211yescharacteristic, complemented
189#1877C2211yescharacteristic, complemented
190#1873C2211yescharacteristic, complemented
191#1870C2211yescharacteristic, complemented
192#1869C2211yescharacteristic
193#1869C2211yescharacteristic, complemented
194#1869C2211yescharacteristic, complemented
195#1863C2211yescharacteristic, complemented
196#1862C2211yescharacteristic, complemented
197#1854C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1787C2211yescharacteristic, complemented
200#1786C2211yescharacteristic
201#1752C2211yescharacteristic, complemented
202C8×C22⋊C4C2211yescharacteristic, complemented
203#1750C2211yescharacteristic, complemented
204#1729C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C23×Q8C2311yescharacteristic
209C23×D4—21no—
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C2×AGL(1,ℤ/8)—24no—
214C2×AGL(1,ℤ/8)—42no—
215C2×AGL(1,ℤ/8)—42no—
216C2×#135—24no—
217C2×#135—42no—
218C2×#135—42no—
219C22×Q16C2311yescharacteristic
220C22×Q16C2311yescharacteristic
221C22×SD16—24no—
222C22×SD16—42no—
223C22×SD16—42no—
224C22×SD16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C22×SD16C2311yescharacteristic
229C22×SD16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×SD16C2311yescharacteristic
232C22×SD16C2311yescharacteristic
233C22×D8—24no—
234C22×D8—42no—
235C22×D8—42no—
236C22×D8C2311yescharacteristic
237C22×D8C2311yescharacteristic
238C22×D8C2311yescharacteristic
239C22×D8C2311yescharacteristic
240C22×D8C2311yescharacteristic
241C22×D8C2311yescharacteristic
242C22×D8C2311yescharacteristic
243C22×D8C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×M16C2311yescharacteristic
246C23×C8C2311yescharacteristic
247C23×C8C2311yescharacteristic
248C23×C8C2311yescharacteristic
249#548—24no—
250#548—42no—
251#548—42no—
252#548—42no—
253#546—24no—
254#546—24no—
255#546—42no—
256#546—42no—
257D42—24no—
258D42—42no—
259#535—42no—
260#535—42no—
261C2×#127—21no—
262C2×#127C2311yescharacteristic
263C2×#127C2311yescharacteristic
264C2×#127C2311yescharacteristic
265C2×#124—21no—
266C2×#124—21no—
267C2×#124C2311yescharacteristic
268C2×#124C2311yescharacteristic
269C2×#124C2311yescharacteristic
270C2×#124C2311yescharacteristic
271C2×#124C2311yescharacteristic
272C2×#124C2311yescharacteristic
273C2×#123—21no—
274C2×#123—21no—
275C2×#123—21no—
276C2×#123—21no—
277C2×#123—21no—
278C2×C22⋊Q8—21no—
279C2×C22⋊Q8—21no—
280C2×C22⋊Q8C2311yescharacteristic
281C2×C22⋊Q8C2311yescharacteristic
282C2×C22⋊Q8C2311yescharacteristic
283C2×C22⋊Q8C2311yescharacteristic
284C2×#121—21no—
285C2×#121—21no—
286C2×#121—21no—
287C2×#121—21no—
288C2×#121—21no—
289C2×#121—21no—
290C2×#121—21no—
291C2×#121—21no—
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#121C2311yescharacteristic
296C2×#121C2311yescharacteristic
297C2×#121C2311yescharacteristic
298C2×#121C2311yescharacteristic
299C2×#121C2311yescharacteristic
300C2×#121C2311yescharacteristic
301C2×#120—21no—
302C2×#120—21no—
303C2×#120—21no—
304C2×#120—21no—
305C2×#120—21no—
306C2×#120—21no—
307C2×#120—21no—
308C2×#120—21no—
309C2×C4×Q8C2311yescharacteristic
310C2×C4×Q8C2311yescharacteristic
311C2×C4×D4—21no—
312C2×C4×D4—21no—
313C2×C4×D4C2311yescharacteristic
314C2×C4×D4C2311yescharacteristic
315C2×C4×D4C2311yescharacteristic
316C2×C4×D4C2311yescharacteristic
317C2×C4×D4C2311yescharacteristic
318C2×C4×D4C2311yescharacteristic
319C2×#117C2311yescharacteristic
320C2×#117C2311yescharacteristic
321C22×C22⋊C4—21no—
322C22×C22⋊C4—21no—
323#496—24no—
324#496—42no—
325#495—24no—
326#495—42no—
327#468—24no—
328#467—24no—
329#466—24no—
330#466—24no—
331#466—42no—
332#465—42no—
333#463—24no—
334#463—24no—
335#463—24no—
336#460—24no—
337#452—42no—
338#452—42no—
339#451—42no—
340#450—24no—
341#450D418yescomplemented
342#449—24no—
343#449—24no—
344#449—24no—
345#449—42no—
346#449—42no—
347#448—24no—
348#447—24no—
349#447—42no—
350#447—42no—
351#447—42no—
352#440—24no—
353C4×D8—24no—
354#435—24no—
355C8×D4—24no—
356C2×#107C2311yescharacteristic
357C2×#107C2311yescharacteristic
358C2×#107C2311yescharacteristic
359C2×#106C2311yescharacteristic
360C2×C4⋊C8C2311yescharacteristic
361C2×C4⋊C8C2311yescharacteristic
362#418—42no—
363#416—42no—
364C2×#103C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#103C2311yescharacteristic
372C2×#103C2311yescharacteristic
373C2×#103C2311yescharacteristic
374C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
395C2×#102C2311yescharacteristic
396C2×C22⋊C8C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C2×C22⋊C8C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×#97C2311yescharacteristic
405C2×#97C2311yescharacteristic
406C2×C4×C8C2311yescharacteristic
407C2×C4×C8C2311yescharacteristic
408#398D411yescharacteristic
409#397—21no—
410#397—21no—
411#397—21no—
412#397—21no—
413#397—21no—
414#397D411yescharacteristic
415#396—21no—
416#396—21no—
417#396—21no—
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#394—21no—
435#394—21no—
436#394—21no—
437#394—21no—
438#394D411yescharacteristic
439#394D411yescharacteristic
440#394D411yescharacteristic
441#393—21no—
442#393—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#392—21no—
454#392—21no—
455#392D411yescharacteristic
456#391C2311yescharacteristic
457#391C2311yescharacteristic
458#391C2311yescharacteristic
459#391C2311yescharacteristic
460#390—21no—
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#390C2311yescharacteristic
476#389—21no—
477#389—21no—
478#389C2311yescharacteristic
479#389C2311yescharacteristic
480#389C2311yescharacteristic
481#388—21no—
482#388—21no—
483#388—21no—
484#388—21no—
485#388—21no—
486#388—21no—
487#388—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#385—21no—
500#385—21no—
501#385—21no—
502#385—21no—
503#385—21no—
504#385—21no—
505#384C2311yescharacteristic
506#381—21no—
507#380C2311yescharacteristic
508#380C2311yescharacteristic
509#380C2311yescharacteristic
510#379—21no—
511#379—21no—
512#379—21no—
513#379—21no—
514#379—21no—
515#379—21no—
516C4×C4⋊C4C2311yescharacteristic
517C4×C4⋊C4C2311yescharacteristic
518C4×C22⋊C4—21no—
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—22no—
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—22no—
563C22×Q8—41no—
564C22×Q8—41no—
565C22×Q8—41no—
566C22×Q8—41no—
567C22×Q8C2411yescharacteristic
568C22×Q8C2411yescharacteristic
569C22×Q8C2411yescharacteristic
570C22×D4—22no—
571C22×D4—22no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—21no—
576C22×D4—21no—
577C22×D4—21no—
578C22×D4—21no—
579C22×D4—21no—
580C22×D4—21no—
581C22×D4—21no—
582C22×D4—21no—
583C22×D4—21no—
584C22×D4—21no—
585C22×D4—22no—
586C22×D4—21no—
587C22×D4—21no—
588C22×D4—21no—
589C22×D4—21no—
590C22×D4—21no—
591C22×D4—21no—
592C22×D4—21no—
593C22×D4—21no—
594C22×D4—22no—
595C22×D4—22no—
596C22×D4—41no—
597C22×D4—41no—
598C22×D4—41no—
599C22×D4—41no—
600C22×D4—41no—
601C22×D4—41no—
602C22×D4—41no—
603C22×D4—41no—
604C22×D4—41no—
605C22×D4—41no—
606C22×D4—41no—
607C22×D4—41no—
608C22×D4—44no—
609C22×D4—82no—
610C22×D4—82no—
611C22×D4C2×D411yescharacteristic
612C22×D4C2×D411yescharacteristic
613C22×D4C2×D411yescharacteristic
614C22×D4C2×D414yes—
615C22×D4C2411yescharacteristic
616C22×D4C2411yescharacteristic
617C22×D4C2411yescharacteristic
618C22×D4C2411yescharacteristic
619C22×D4C2411yescharacteristic
620C22×D4C2411yescharacteristic
621C23×C4—21no—
622C23×C4—21no—
623C23×C4—21no—
624C23×C4—21no—
625C23×C4—21no—
626C23×C4—21no—
627C23×C4—21no—
628C23×C4C2411yescharacteristic
629C23×C4C2411yescharacteristic
630C23×C4C2411yescharacteristic
631AGL(1,ℤ/8)—416no—
632#135—416no—
633C2×Q16—22no—
634C2×Q16—22no—
635C2×Q16—22no—
636C2×Q16—41no—
637C2×Q16—41no—
638C2×Q16—41no—
639C2×SD16—22no—
640C2×SD16—22no—
641C2×SD16—22no—
642C2×SD16—22no—
643C2×SD16—22no—
644C2×SD16—22no—
645C2×SD16—22no—
646C2×SD16—22no—
647C2×SD16—22no—
648C2×SD16—22no—
649C2×SD16—22no—
650C2×SD16—22no—
651C2×SD16—41no—
652C2×SD16—41no—
653C2×SD16—41no—
654C2×SD16—41no—
655C2×SD16—41no—
656C2×SD16—41no—
657C2×SD16—41no—
658C2×SD16—41no—
659C2×SD16—41no—
660C2×SD16—41no—
661C2×SD16—41no—
662C2×SD16—41no—
663C2×SD16—41no—
664C2×SD16—416no—
665C2×SD16C2×D414yes—
666C2×SD16C2×D414yes—
667C2×D8—22no—
668C2×D8—22no—
669C2×D8—22no—
670C2×D8—22no—
671C2×D8—22no—
672C2×D8—22no—
673C2×D8—22no—
674C2×D8—22no—
675C2×D8—22no—
676C2×D8—22no—
677C2×D8—22no—
678C2×D8—22no—
679C2×D8—22no—
680C2×D8—41no—
681C2×D8—41no—
682C2×D8—41no—
683C2×D8—41no—
684C2×D8—41no—
685C2×D8—41no—
686C2×D8—41no—
687C2×D8—41no—
688C2×D8—41no—
689C2×D8—41no—
690C2×D8—41no—
691C2×D8—41no—
692C2×D8—41no—
693C2×D8—41no—
694C2×D8—416no—
695C2×M16—22no—
696C2×M16—22no—
697C2×M16—41no—
698C22×C8—22no—
699C22×C8—22no—
700C22×C8—22no—
701C22×C8—22no—
702C22×C8—22no—
703C22×C8—22no—
704C22×C8—41no—
705C22×C8—41no—
706C22×C8—41no—
707C22×C8C2411yescharacteristic
708C22×C8C2411yescharacteristic
709C22×C8C2411yescharacteristic
710C22×C8C2411yescharacteristic
711C22×C8C2411yescharacteristic
712C22×C8C2411yescharacteristic
713C22×C8C2411yescharacteristic
714C22×C8C2411yescharacteristic
715#127—22no—
716#127—22no—
717#127—41no—
718#127—41no—
719#127—41no—
720#127—41no—
721#127—82no—
722#124—22no—
723#124—22no—
724#124—22no—
725#124—22no—
726#124—22no—
727#124—22no—
728#124—41no—
729#124—41no—
730#124—41no—
731#124—41no—
732#124—41no—
733#124—41no—
734#124—44no—
735#124—44no—
736#123—44no—
737#123—44no—
738#123—82no—
739#123—82no—
740#123—82no—
741C22⋊Q8—22no—
742C22⋊Q8—22no—
743C22⋊Q8—22no—
744C22⋊Q8—22no—
745C22⋊Q8—44no—
746C22⋊Q8—44no—
747C22⋊Q8—41no—
748C22⋊Q8—41no—
749C22⋊Q8—41no—
750C22⋊Q8C2×D414yes—
751#121—22no—
752#121—22no—
753#121—22no—
754#121—22no—
755#121—22no—
756#121—22no—
757#121—22no—
758#121—44no—
759#121—44no—
760#121—44no—
761#121—44no—
762#121—44no—
763#121—44no—
764#121—41no—
765#121—41no—
766#121—41no—
767#121—41no—
768#121—41no—
769#121—44no—
770#121—41no—
771#121—41no—
772#121—41no—
773#121—41no—
774#121—41no—
775#121—41no—
776#121—82no—
777#120—44no—
778#120—44no—
779#120—44no—
780#120—44no—
781#120—44no—
782#120—44no—
783#120—82no—
784#120—82no—
785C4×Q8—22no—
786C4×Q8—41no—
787C4×Q8—41no—
788C4×Q8—41no—
789C4×D4—22no—
790C4×D4—22no—
791C4×D4—22no—
792C4×D4—22no—
793C4×D4—22no—
794C4×D4—22no—
795C4×D4—22no—
796C4×D4—41no—
797C4×D4—41no—
798C4×D4—41no—
799C4×D4—41no—
800C4×D4—41no—
801C4×D4—44no—
802C4×D4—44no—
803#117—41no—
804#117—41no—
805#117—41no—
806#117—41no—
807C2×C4⋊C4—21no—
808C2×C4⋊C4—21no—
809C2×C4⋊C4—21no—
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⋊C4C2×D411yescharacteristic
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⋊C4C2411yescharacteristic
826C2×C4⋊C4C2411yescharacteristic
827C2×C4⋊C4C2411yescharacteristic
828C2×C4⋊C4C2411yescharacteristic
829C2×C4⋊C4C2411yescharacteristic
830C2×C4⋊C4C2411yescharacteristic
831C2×C4⋊C4C2411yescharacteristic
832C2×C22⋊C4—21no—
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—21no—
880C2×C22⋊C4—21no—
881C2×C22⋊C4—21no—
882C2×C22⋊C4—44no—
883C2×C22⋊C4—44no—
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×C22⋊C4C2×D411yescharacteristic
893C2×C22⋊C4C2×D411yescharacteristic
894C2×C22⋊C4C2×D411yescharacteristic
895C2×C22⋊C4C2×D411yescharacteristic
896C2×C42—21no—
897C2×C42—21no—
898C2×C42—21no—
899C2×C42—21no—
900C2×C42C2411yescharacteristic
901C2×C42C2411yescharacteristic
902C2×C42C2411yescharacteristic
903C2×C42C2411yescharacteristic
904#107—22no—
905#107—22no—
906#107—41no—
907#106—41no—
908C4⋊C8—22no—
909C4⋊C8—22no—
910#103—22no—
911#103—22no—
912#103—22no—
913#103—22no—
914#103—22no—
915#103—22no—
916#103—41no—
917#103—41no—
918#103—41no—
919#103—41no—
920#103—41no—
921#102—22no—
922#102—22no—
923#102—22no—
924#102—22no—
925#102—22no—
926#102—22no—
927#102—22no—
928#102—22no—
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—
938#102—41no—
939#102—41no—
940#102C2×D414yes—
941#102C2×D414yes—
942C22⋊C8—22no—
943C22⋊C8—22no—
944C22⋊C8—22no—
945C22⋊C8—22no—
946C22⋊C8—22no—
947C22⋊C8—41no—
948C22⋊C8—41no—
949C22⋊C8C2×D414yes—
950#97—22no—
951#97—41no—
952C4×C8—22no—
953C4×C8—41no—
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—24no—
979C24—21no—
980C24—21no—
981C24—21no—
982C24—42no—
983C24—42no—
984C24—42no—
985C24—42no—
986C24—81no—
987C24—81no—
988C24—81no—
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—21no—
1018C2×Q8—21no—
1019C2×Q8—21no—
1020C2×Q8—21no—
1021C2×Q8—21no—
1022C2×Q8—21no—
1023C2×Q8—21no—
1024C2×Q8—21no—
1025C2×Q8—21no—
1026C2×Q8—21no—
1027C2×Q8—21no—
1028C2×Q8—21no—
1029C2×Q8—21no—
1030C2×Q8—21no—
1031C2×Q8—21no—
1032C2×Q8—21no—
1033C2×Q8—42no—
1034C2×Q8—42no—
1035C2×Q8—44no—
1036C2×Q8—81no—
1037C2×Q8—82no—
1038C2×Q8—82no—
1039C2×Q8—82no—
1040C2×Q8C22×D412yes—
1041C2×Q8H(5,𝔽2)12yes—
1042C2×D4—22no—
1043C2×D4—22no—
1044C2×D4—22no—
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—44no—
1083C2×D4—44no—
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—42no—
1104C2×D4—42no—
1105C2×D4—42no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—42no—
1111C2×D4—42no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—82no—
1116C2×D4—82no—
1117C2×D4—82no—
1118C2×D4—82no—
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—82no—
1136C2×D4—82no—
1137C2×D4—82no—
1138C2×D4—81no—
1139C2×D4—81no—
1140C2×D4—81no—
1141C2×D4—81no—
1142C2×D4—81no—
1143C2×D4—81no—
1144C2×D4—81no—
1145C2×D4—81no—
1146C2×D4—81no—
1147C2×D4—81no—
1148C2×D4—81no—
1149C2×D4—81no—
1150C2×D4—81no—
1151C2×D4—81no—
1152C2×D4—81no—
1153C2×D4—81no—
1154C2×D4—81no—
1155C2×D4—81no—
1156C2×D4—81no—
1157C2×D4—81no—
1158C2×D4—81no—
1159C2×D4—816no—
1160C2×D4C22×D412yes—
1161C2×D4C22×D412yes—
1162C2×D4H(5,𝔽2)12yes—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—21no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
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—42no—
1190C22×C4—42no—
1191C22×C4—42no—
1192C22×C4—42no—
1193C22×C4—42no—
1194C22×C4—42no—
1195C22×C4—42no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—81no—
1201C22×C4—81no—
1202C22×C4—81no—
1203C22×C4—81no—
1204C22×C4—81no—
1205C22×C4—81no—
1206C22×C4—81no—
1207C22×C4—81no—
1208C22×C4—81no—
1209C22×C4—81no—
1210C22×C4C22×D411yescharacteristic
1211C22×C4C22×D411yescharacteristic
1212C22×C4C22×D411yescharacteristic
1213C22×C4C22×D411yescharacteristic
1214C22×C4C22×D411yescharacteristic
1215C22×C4C22×D411yescharacteristic
1216C22×C4C22×D411yescharacteristic
1217C22×C4C22×D411yescharacteristic
1218C22×C4C22×D411yescharacteristic
1219C22×C4C22×D411yescharacteristic
1220C22×C4C22×D411yescharacteristic
1221C22×C4C22×D412yes—
1222C22×C4H(5,𝔽2)12yes—
1223C22×C4C2511yescharacteristic
1224Q16—44no—
1225Q16—82no—
1226SD16—28no—
1227SD16—44no—
1228SD16—44no—
1229SD16—44no—
1230SD16—44no—
1231SD16—44no—
1232SD16—44no—
1233SD16—82no—
1234SD16—82no—
1235D8—28no—
1236D8—44no—
1237D8—44no—
1238D8—44no—
1239D8—44no—
1240D8—44no—
1241D8—82no—
1242D8—82no—
1243D8—82no—
1244M16—44no—
1245C2×C8—21no—
1246C2×C8—21no—
1247C2×C8—21no—
1248C2×C8—21no—
1249C2×C8—21no—
1250C2×C8—21no—
1251C2×C8—21no—
1252C2×C8—21no—
1253C2×C8—21no—
1254C2×C8—21no—
1255C2×C8—21no—
1256C2×C8—21no—
1257C2×C8—21no—
1258C2×C8—21no—
1259C2×C8—21no—
1260C2×C8—21no—
1261C2×C8—21no—
1262C2×C8—21no—
1263C2×C8—21no—
1264C2×C8—21no—
1265C2×C8—44no—
1266C2×C8—44no—
1267C2×C8—44no—
1268C2×C8C22×D412yes—
1269C2×C8C22×D412yes—
1270C2×C8H(5,𝔽2)12yes—
1271C2×C8H(5,𝔽2)12yes—
1272C4⋊C4—24no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—21no—
1276C4⋊C4—21no—
1277C4⋊C4—21no—
1278C4⋊C4—21no—
1279C4⋊C4—21no—
1280C4⋊C4—21no—
1281C4⋊C4—21no—
1282C4⋊C4—21no—
1283C4⋊C4—21no—
1284C4⋊C4—21no—
1285C4⋊C4—21no—
1286C4⋊C4—21no—
1287C4⋊C4—21no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—81no—
1299C4⋊C4—81no—
1300C4⋊C4—81no—
1301C4⋊C4—81no—
1302C4⋊C4—81no—
1303C4⋊C4C22×D412yes—
1304C22⋊C4—24no—
1305C22⋊C4—24no—
1306C22⋊C4—24no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—81no—
1340C22⋊C4—81no—
1341C22⋊C4—81no—
1342C22⋊C4—81no—
1343C22⋊C4—81no—
1344C22⋊C4—81no—
1345C22⋊C4—81no—
1346C22⋊C4—81no—
1347C22⋊C4—81no—
1348C22⋊C4—81no—
1349C22⋊C4—81no—
1350C22⋊C4—81no—
1351C22⋊C4—81no—
1352C22⋊C4—81no—
1353C22⋊C4—81no—
1354C22⋊C4—81no—
1355C22⋊C4—81no—
1356C22⋊C4—81no—
1357C22⋊C4—81no—
1358C22⋊C4—81no—
1359C22⋊C4—81no—
1360C22⋊C4—81no—
1361C22⋊C4—81no—
1362C22⋊C4—81no—
1363C22⋊C4—81no—
1364C22⋊C4—81no—
1365C22⋊C4—81no—
1366C42—21no—
1367C42—21no—
1368C42—21no—
1369C42—21no—
1370C42—21no—
1371C42—21no—
1372C42—21no—
1373C42—21no—
1374C42—42no—
1375C42—42no—
1376C42—81no—
1377C42—81no—
1378C23—21no—
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—22no—
1395C23—22no—
1396C23—22no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—41no—
1401C23—41no—
1402C23—41no—
1403C23—41no—
1404C23—41no—
1405C23—41no—
1406C23—41no—
1407C23—41no—
1408C23—41no—
1409C23—41no—
1410C23—41no—
1411C23—41no—
1412C23—41no—
1413C23—41no—
1414C23—41no—
1415C23—41no—
1416C23—41no—
1417C23—41no—
1418C23—41no—
1419C23—41no—
1420C23—41no—
1421C23—41no—
1422C23—41no—
1423C23—41no—
1424C23—41no—
1425C23—41no—
1426C23—41no—
1427C23—41no—
1428C23—41no—
1429C23—41no—
1430C23—41no—
1431C23—41no—
1432C23—41no—
1433C23—41no—
1434C23—41no—
1435C23—41no—
1436C23—41no—
1437C23—41no—
1438C23—41no—
1439C23—84no—
1440C23—84no—
1441C23—84no—
1442C23—84no—
1443C23—84no—
1444C23—84no—
1445C23—84no—
1446C23—162no—
1447C23—162no—
1448C23—162no—
1449C23—162no—
1450C23—162no—
1451C23—162no—
1452C23—162no—
1453C23—162no—
1454C23—162no—
1455C23—162no—
1456C23—162no—
1457C23—162no—
1458C23—162no—
1459C23—162no—
1460C23D4212yes—
1461C23#57612yes—
1462C23C23×D411yescharacteristic
1463Q8—22no—
1464Q8—22no—
1465Q8—22no—
1466Q8—22no—
1467Q8—41no—
1468Q8—41no—
1469Q8—41no—
1470Q8—41no—
1471Q8—41no—
1472Q8—41no—
1473Q8—41no—
1474Q8—41no—
1475Q8—84no—
1476D4—22no—
1477D4—22no—
1478D4—22no—
1479D4—22no—
1480D4—22no—
1481D4—22no—
1482D4—44no—
1483D4—44no—
1484D4—41no—
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—84no—
1503D4—84no—
1504D4—82no—
1505D4—84no—
1506D4—84no—
1507D4—84no—
1508D4—84no—
1509D4—84no—
1510D4—84no—
1511D4—84no—
1512D4—84no—
1513D4—84no—
1514D4—162no—
1515D4—162no—
1516D4—162no—
1517D4—162no—
1518D4—162no—
1519D4—162no—
1520D4—162no—
1521D4—162no—
1522D4—162no—
1523D4—162no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
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—22no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—41no—
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—84no—
1599C2×C4—84no—
1600C2×C4—84no—
1601C2×C4—84no—
1602C2×C4—84no—
1603C2×C4—162no—
1604C2×C4—162no—
1605C2×C4D4212yes—
1606C2×C4C23×D411yescharacteristic
1607C2×C4C2×H(5,𝔽2)11yescharacteristic
1608C2×C4C2×H(5,𝔽2)11yescharacteristic
1609C2×C4C2×H(5,𝔽2)11yescharacteristic
1610C2×C4C2×H(5,𝔽2)11yescharacteristic
1611C2×C4C2×H(5,𝔽2)11yescharacteristic
1612C8—22no—
1613C8—22no—
1614C8—22no—
1615C8—22no—
1616C8—41no—
1617C8—41no—
1618C8—41no—
1619C8—41no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—41no—
1640C22—42no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—42no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
1648C22—41no—
1649C22—41no—
1650C22—81no—
1651C22—81no—
1652C22—81no—
1653C22—81no—
1654C22—81no—
1655C22—81no—
1656C22—81no—
1657C22—81no—
1658C22—81no—
1659C22—81no—
1660C22—81no—
1661C22—81no—
1662C22—81no—
1663C22—81no—
1664C22—81no—
1665C22—81no—
1666C22—81no—
1667C22—81no—
1668C22—81no—
1669C22—81no—
1670C22—81no—
1671C22—81no—
1672C22—81no—
1673C22—81no—
1674C22—81no—
1675C22—81no—
1676C22—81no—
1677C22—81no—
1678C22—81no—
1679C22—81no—
1680C22—81no—
1681C22—81no—
1682C22—81no—
1683C22—168no—
1684C22—168no—
1685C22—168no—
1686C22C2×D4211yescharacteristic
1687C22#348411yescharacteristic
1688C22#349811yescharacteristic
1689C22C2×#57611yescharacteristic
1690C22#358411yescharacteristic
1691C22#358411yescharacteristic
1692C22#358511yescharacteristic
1693C4—22no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—42no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—42no—
1704C4—42no—
1705C4—41no—
1706C4—41no—
1707C4—81no—
1708C4—81no—
1709C4—81no—
1710C4—81no—
1711C4—81no—
1712C4—81no—
1713C4—81no—
1714C4#348411yescharacteristic
1715C4#348411yescharacteristic
1716C4#353711yescharacteristic
1717C4#353711yescharacteristic
1718C2—42no—
1719C2—42no—
1720C2—81no—
1721C2—82no—
1722C2—82no—
1723C2—82no—
1724C2—161no—
1725C2—161no—
1726C2—161no—
1727C2#4300111yescharacteristic
1728C2#6105211yescharacteristic
1729C2#6107211yescharacteristic
1730C2#6163911yescharacteristic
1731C2#6169011yescharacteristic
1732C2#6243611yescharacteristic
1733C2#6246111yescharacteristic
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×#3280C2semidirect
2. C2×#3265C2semidirect
3. #45263C2semidirect
4. #42474C2semidirect
5. #31010C2semidirect
6. #30985C2semidirect
7. #30763C2semidirect
8. #30747C2semidirect
9. #30505C2semidirect
10. #30499C2semidirect
11. #30468C2semidirect
12. #30458C2semidirect
13. #28590C2semidirect
14. #26975C2semidirect
15. #26961C2semidirect
16. #26613C2semidirect
17. #26593C2semidirect
18. #25785C2semidirect
19. #25776C2semidirect
20. #25736C2semidirect
21. #25120C2semidirect
22. #25109C2semidirect
23. #24450C2semidirect
24. #24433C2semidirect
25. #23863C2semidirect
26. #23858C2semidirect
27. #23854C2semidirect
28. #23848C2semidirect
29. #23422C2semidirect
30. #23123C2semidirect
31. #22052C2semidirect
33. C22×#135C22semidirect
34. C23×SD16C22semidirect
37. C2×#548C22semidirect
39. C2×#546C22semidirect
41. C2×#535C22semidirect
44. C2×#496C22semidirect
45. C2×#496C22semidirect
47. C2×#495C22semidirect
49. C2×#467C22semidirect
51. C2×#466C22semidirect
52. C2×#466C22semidirect
53. C2×#465C22semidirect
54. C2×#460C22semidirect
56. C2×#463C22semidirect
57. C2×#463C22semidirect
58. C2×#452C22semidirect
59. C2×#452C22semidirect
62. C2×#449C22semidirect
63. C2×#449C22semidirect
64. C2×#449C22semidirect
65. C2×#451C22semidirect
66. C2×#448C22semidirect
68. C2×#450C22semidirect
72. C2×#447C22semidirect
73. C2×#440C22semidirect
74. C2×C4×D8C22semidirect
76. C2×C8×D4C22semidirect
77. C2×#418C22semidirect
78. C2×#416C22semidirect
91. #2548C22semidirect
92. #2541C22semidirect
95. #2447C22semidirect
96. #2445C22semidirect
97. #2436C22semidirect
98. #2435C22semidirect
99. #2431C22semidirect
100. #2431C22semidirect
102. #2428C22semidirect
103. #2426C22semidirect
105. #2422C22semidirect
106. #2422C22semidirect
110. #2408C22semidirect
111. #2407C22semidirect
112. #2407C22semidirect
115. #2367C22semidirect
116. #2323C22semidirect
118. #2083C22semidirect
119. #2072C22semidirect
120. #2068C22semidirect
121. #2065C22semidirect
122. #2055C22semidirect
123. #2054C22semidirect
124. #2042C22semidirect
125. #2042C22semidirect
126. #2042C22semidirect
127. #2034C22semidirect
128. #2033C22semidirect
129. #2033C22semidirect
130. #2033C22semidirect
131. #2015C22semidirect
132. #2015C22semidirect
133. #2015C22semidirect
134. #2015C22semidirect
135. #2014C22semidirect
138. #2012C22semidirect
139. #2012C22semidirect
140. #2012C22semidirect
141. #2012C22semidirect
142. #2012C22semidirect
147. #2011C22semidirect
148. #2011C22semidirect
149. #2011C22semidirect
150. #2000C22semidirect
151. #2000C22semidirect
152. #2000C22semidirect
153. #2000C22semidirect
156. #1999C22semidirect
157. #1999C22semidirect
158. #1973C22semidirect
159. #1973C22semidirect
160. #1968C22semidirect
161. #1968C22semidirect
162. #1959C22semidirect
163. #1957C22semidirect
164. #1936C22semidirect
165. #1936C22semidirect
166. #1934C22semidirect
167. #1934C22semidirect
168. #1928C22semidirect
169. #1926C22semidirect
170. #1925C22semidirect
171. #1925C22semidirect
172. #1924C22semidirect
173. #1923C22semidirect
174. #1917C22semidirect
175. #1916C22semidirect
176. #1894C22semidirect
178. #1893C22semidirect
179. #1892C22semidirect
180. #1880C22semidirect
181. #1880C22semidirect
182. #1880C22semidirect
185. #1879C22semidirect
186. #1879C22semidirect
187. #1878C22semidirect
188. #1878C22semidirect
189. #1877C22semidirect
190. #1873C22semidirect
191. #1870C22semidirect
193. #1869C22semidirect
194. #1869C22semidirect
195. #1863C22semidirect
196. #1862C22semidirect
197. #1854C22semidirect
198. #1788C22semidirect
199. #1787C22semidirect
201. #1752C22semidirect
202. C8×C22⋊C4C22semidirect
203. #1750C22semidirect
204. #1729C22semidirect
341. #450D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32802
C2×#32652
#452632
#424742
#310102
#309852
#307632
#307472
#305052
#304992
#304682
#304582
#285902
#269752
#269612
#266132
#265932
#257852
#257762
#257362
#251202
#251092
#244502
#244332
#238632
#238582
#238542
#238482
#234222
#231232
#220522