Finite Group Databasebeta

← #7146124

Subgroups — #7146124

Order 512.

2422 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3265C211yesmaximal, characteristic, complemented
2C2×#3224C211yesmaximal, characteristic, complemented
3#45316C211yesmaximal, characteristic, complemented
4#44877C211yesmaximal, characteristic, complemented
5#31068C211yesmaximal, characteristic, complemented
6#31058C211yesmaximal, characteristic, complemented
7#31000C211yesmaximal, characteristic, complemented
8#30996C211yesmaximal, characteristic, complemented
9#30608C211yesmaximal, characteristic, complemented
10#30591C211yesmaximal, characteristic, complemented
11#30422C211yesmaximal, characteristic, complemented
12#30400C211yesmaximal, characteristic, complemented
13#28612C211yesmaximal, characteristic, complemented
14#28436C211yesmaximal, characteristic, complemented
15#25881C211yesmaximal, characteristic, complemented
16#25761C211yesmaximal, characteristic, complemented
17#25372C211yesmaximal, characteristic, complemented
18#25325C211yesmaximal, characteristic, complemented
19#25177C211yesmaximal, characteristic, complemented
20#25162C211yesmaximal, characteristic, complemented
21#24373C211yesmaximal, characteristic, complemented
22#24356C211yesmaximal, characteristic, complemented
23#24252C211yesmaximal, characteristic, complemented
24#24245C211yesmaximal, characteristic, complemented
25#24220C211yesmaximal, characteristic, complemented
26#24166C211yesmaximal, characteristic, complemented
27#23860C211yesmaximal, characteristic, complemented
28#23852C211yesmaximal, characteristic, complemented
29#23715C211yesmaximal, characteristic, complemented
30#23195C211yesmaximal, characteristic, complemented
31#22144C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C23×SD16C2211yescharacteristic, complemented
34C2×#548C2211yescharacteristic, complemented
35C2×#546C2211yescharacteristic
36C2×D42C2211yescharacteristic
37C2×D42C2211yescharacteristic
38C2×#542C2211yescharacteristic, complemented
39C2×#535C2211yescharacteristic
40#3265—28no—
41#3224—28no—
42C2×#496C2211yescharacteristic
43C2×#495C2211yescharacteristic, complemented
44C2×#489C2211yescharacteristic, complemented
45C2×#486C2211yescharacteristic
46C2×#476C2211yescharacteristic, complemented
47C2×#468C2211yescharacteristic, complemented
48C2×#466C2211yescharacteristic
49C2×#464C2211yescharacteristic, complemented
50C2×#464C2211yescharacteristic, complemented
51C2×#460C2211yescharacteristic
52C2×#460C2211yescharacteristic
53C2×#460C2211yescharacteristic, complemented
54C2×#463C2211yescharacteristic, complemented
55C2×#463C2211yescharacteristic, complemented
56C2×#463C2211yescharacteristic, complemented
57C2×#459C2211yescharacteristic, complemented
58C2×#452C2211yescharacteristic, complemented
59C2×#452C2211yescharacteristic, complemented
60C2×#452C2211yescharacteristic, complemented
61C2×#449C2211yescharacteristic, complemented
62C2×#449C2211yescharacteristic, complemented
63C2×#449C2211yescharacteristic, complemented
64C2×#451C2211yescharacteristic, complemented
65C2×#448C2211yescharacteristic
66C2×#448C2211yescharacteristic, complemented
67C2×#450C2211yescharacteristic
68C2×#450C2211yescharacteristic, complemented
69C2×#450C2211yescharacteristic, complemented
70C2×#447C2211yescharacteristic, complemented
71C2×#447C2211yescharacteristic, complemented
72C2×#440C2211yescharacteristic, complemented
73C2×#440C2211yescharacteristic, complemented
74C2×C4×D8C2211yescharacteristic, complemented
75C2×#435C2211yescharacteristic, complemented
76C2×#433C2211yescharacteristic, complemented
77#2712—21no—
78#2703—21no—
79#2700—21no—
80#2698—21no—
81#2679—21no—
82#2678—21no—
83#2671—21no—
84#2668—21no—
85#2568C2211yescharacteristic, complemented
86#2563C2211yescharacteristic, complemented
87#2559—21no—
88#2544C2211yescharacteristic
89#2540C2211yescharacteristic
90#2536C2211yescharacteristic, complemented
91#2535C2211yescharacteristic, complemented
92#2488—21no—
93#2459—21no—
94#2450—21no—
95#2435C2211yescharacteristic
96#2433C2211yescharacteristic
97#2428C2211yescharacteristic
98#2427C2211yescharacteristic
99#2424—21no—
100#2421C2211yescharacteristic, complemented
101#2420C2211yescharacteristic, complemented
102#2410—21no—
103#2409C2211yescharacteristic, complemented
104#2408—21no—
105#2408C2211yescharacteristic
106#2407C2211yescharacteristic
107#2407C2211yescharacteristic, complemented
108#2403—21no—
109#2392C2211yescharacteristic
110#2367C2211yescharacteristic, complemented
111#2366C2211yescharacteristic
112Q8×C22⋊C4C2211yescharacteristic, complemented
113#2339C2211yescharacteristic, complemented
114#2324C2211yescharacteristic
115#2323C2211yescharacteristic, complemented
116#2097C2211yescharacteristic, complemented
117#2092C2211yescharacteristic, complemented
118#2086C2211yescharacteristic, complemented
119#2076C2211yescharacteristic, complemented
120#2073C2211yescharacteristic, complemented
121#2073C2211yescharacteristic, complemented
122#2068C2211yescharacteristic, complemented
123#2065C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2055C2211yescharacteristic, complemented
126#2055C2211yescharacteristic, complemented
127#2055C2211yescharacteristic, complemented
128#2055C2211yescharacteristic, complemented
129#2042C2211yescharacteristic, complemented
130#2041C2211yescharacteristic, complemented
131#2036C2211yescharacteristic, complemented
132#2035C2211yescharacteristic, complemented
133#2035C2211yescharacteristic, complemented
134#2035C2211yescharacteristic, complemented
135#2034C2211yescharacteristic
136#2034C2211yescharacteristic
137#2034C2211yescharacteristic, complemented
138#2034C2211yescharacteristic, complemented
139#2034C2211yescharacteristic, complemented
140#2034C2211yescharacteristic, complemented
141#2033C2211yescharacteristic
142#2033C2211yescharacteristic, complemented
143#2015C2211yescharacteristic, complemented
144#2015C2211yescharacteristic, complemented
145#2015C2211yescharacteristic, complemented
146#2014C2211yescharacteristic
147#2014C2211yescharacteristic, complemented
148#2011C2211yescharacteristic
149#2001C2211yescharacteristic, complemented
150#2000C2211yescharacteristic
151#2000C2211yescharacteristic
152#2000C2211yescharacteristic, complemented
153#2000C2211yescharacteristic, complemented
154#1999C2211yescharacteristic
155#1999C2211yescharacteristic, complemented
156#1988C2211yescharacteristic, complemented
157#1983C2211yescharacteristic, complemented
158#1983C2211yescharacteristic, complemented
159#1982C2211yescharacteristic
160#1972C2211yescharacteristic, complemented
161#1971C2211yescharacteristic, complemented
162#1968C2211yescharacteristic, complemented
163#1968C2211yescharacteristic, complemented
164#1961C2211yescharacteristic
165#1958C2211yescharacteristic, complemented
166#1955C2211yescharacteristic, complemented
167#1954C2211yescharacteristic, complemented
168#1954C2211yescharacteristic, complemented
169#1939C2211yescharacteristic, complemented
170#1924C2211yescharacteristic, complemented
171#1923C2211yescharacteristic, complemented
172#1895C2211yescharacteristic, complemented
173#1894C2211yescharacteristic, complemented
174#1893C2211yescharacteristic, complemented
175#1892C2211yescharacteristic, complemented
176#1880C2211yescharacteristic, complemented
177#1880C2211yescharacteristic, complemented
178#1879C2211yescharacteristic, complemented
179#1879C2211yescharacteristic, complemented
180#1879C2211yescharacteristic, complemented
181#1879C2211yescharacteristic, complemented
182#1878C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1877C2211yescharacteristic, complemented
185#1877C2211yescharacteristic, complemented
186#1870C2211yescharacteristic, complemented
187#1869C2211yescharacteristic, complemented
188#1865C2211yescharacteristic, complemented
189#1864C2211yescharacteristic, complemented
190#1851C2211yescharacteristic, complemented
191#1850C2211yescharacteristic, complemented
192#1804C2211yescharacteristic, complemented
193#1804C2211yescharacteristic, complemented
194#1798C2211yescharacteristic, complemented
195#1788C2211yescharacteristic, complemented
196#1786C2211yescharacteristic
197#1786C2211yescharacteristic
198#1786C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1776C2211yescharacteristic, complemented
202#1771C2211yescharacteristic, complemented
203C4×#103C2211yescharacteristic, complemented
204C4×#102C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×Q8C2311yescharacteristic
208C23×D4—21no—
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—
216C22×Q16C2311yescharacteristic
217C22×Q16C2311yescharacteristic
218C22×SD16—24no—
219C22×SD16—42no—
220C22×SD16—42no—
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C22×SD16C2311yescharacteristic
229C22×SD16C2311yescharacteristic
230C22×D8C2311yescharacteristic
231C22×D8C2311yescharacteristic
232C22×D8C2311yescharacteristic
233C22×D8C2311yescharacteristic
234C22×M16C2311yescharacteristic
235C23×C8C2311yescharacteristic
236#548—24no—
237#548—42no—
238#546—42no—
239#546—42no—
240D42—24no—
241D42—42no—
242D42—42no—
243D42—42no—
244#542—24no—
245#542—42no—
246#535—24no—
247#535—42no—
248C2×C4⋊Q8C2311yescharacteristic
249C2×#127C2311yescharacteristic
250C2×#127C2311yescharacteristic
251C2×#127C2311yescharacteristic
252C2×#126—21no—
253C2×#124—21no—
254C2×#124—21no—
255C2×#124C2311yescharacteristic
256C2×#124C2311yescharacteristic
257C2×#124C2311yescharacteristic
258C2×#124C2311yescharacteristic
259C2×#123—21no—
260C2×#123—21no—
261C2×C22⋊Q8—21no—
262C2×C22⋊Q8—21no—
263C2×C22⋊Q8C2311yescharacteristic
264C2×C22⋊Q8C2311yescharacteristic
265C2×C22⋊Q8C2311yescharacteristic
266C2×C22⋊Q8C2311yescharacteristic
267C2×C22⋊Q8C2311yescharacteristic
268C2×#121—21no—
269C2×#121—21no—
270C2×#121—21no—
271C2×#121—21no—
272C2×#121—21no—
273C2×#121—21no—
274C2×#121—21no—
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#120—21no—
283C2×#120—21no—
284C2×#120—21no—
285C2×#120—21no—
286C2×#120—21no—
287C2×#120—21no—
288C2×#120—21no—
289C2×#120—21no—
290C2×#120—21no—
291C2×#120—21no—
292C2×C4×Q8C2311yescharacteristic
293C2×C4×Q8C2311yescharacteristic
294C2×C4×Q8C2311yescharacteristic
295C2×C4×D4—21no—
296C2×C4×D4—21no—
297C2×C4×D4C2311yescharacteristic
298C2×C4×D4C2311yescharacteristic
299C2×C4×D4C2311yescharacteristic
300C2×C4×D4C2311yescharacteristic
301C2×C4×D4C2311yescharacteristic
302C2×C4×D4C2311yescharacteristic
303C2×C4×D4C2311yescharacteristic
304C2×C4×D4C2311yescharacteristic
305C2×#117C2311yescharacteristic
306C22×C22⋊C4—21no—
307#496D418yescomplemented
308#495—24no—
309#489—24no—
310#486—24no—
311#476—42no—
312#468—24no—
313#466—24no—
314#464—24no—
315#464—42no—
316#463—24no—
317#463—24no—
318#463—42no—
319#460—24no—
320#460—24no—
321#460—42no—
322#459—24no—
323#452—24no—
324#452—42no—
325#452—42no—
326#451—42no—
327#450—24no—
328#450—24no—
329#450—42no—
330#449—24no—
331#449—24no—
332#449—42no—
333#448—24no—
334#448—42no—
335#447—24no—
336#447—24no—
337#440—24no—
338#440—42no—
339C4×D8—42no—
340#435—24no—
341#433—24no—
342C2×#107C2311yescharacteristic
343C2×#107C2311yescharacteristic
344C2×#106C2311yescharacteristic
345C2×#106C2311yescharacteristic
346C2×#106C2311yescharacteristic
347C2×C4⋊C8C2311yescharacteristic
348C2×C4⋊C8C2311yescharacteristic
349C2×C4⋊C8C2311yescharacteristic
350C2×C4⋊C8C2311yescharacteristic
351C2×C4⋊C8C2311yescharacteristic
352C2×C4⋊C8C2311yescharacteristic
353C2×#103C2311yescharacteristic
354C2×#103C2311yescharacteristic
355C2×#103C2311yescharacteristic
356C2×#103C2311yescharacteristic
357C2×#103C2311yescharacteristic
358C2×#103C2311yescharacteristic
359C2×#103C2311yescharacteristic
360C2×#103C2311yescharacteristic
361C2×#103C2311yescharacteristic
362C2×#103C2311yescharacteristic
363C2×#103C2311yescharacteristic
364C2×#102C2311yescharacteristic
365C2×#102C2311yescharacteristic
366C2×#102C2311yescharacteristic
367C2×#102C2311yescharacteristic
368C2×#102C2311yescharacteristic
369C2×#102C2311yescharacteristic
370C2×#102C2311yescharacteristic
371C2×#102C2311yescharacteristic
372C2×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×C22⋊C8C2311yescharacteristic
388C2×C22⋊C8C2311yescharacteristic
389C2×C22⋊C8C2311yescharacteristic
390C2×C22⋊C8C2311yescharacteristic
391C2×C22⋊C8C2311yescharacteristic
392C2×C22⋊C8C2311yescharacteristic
393C2×C22⋊C8C2311yescharacteristic
394C2×C22⋊C8C2311yescharacteristic
395C2×C22⋊C8C2311yescharacteristic
396C2×C22⋊C8C2311yescharacteristic
397C2×#97C2311yescharacteristic
398C2×#97C2311yescharacteristic
399C2×C4×C8C2311yescharacteristic
400C2×C4×C8C2311yescharacteristic
401#400—21no—
402#400—21no—
403#400—21no—
404#399—21no—
405#398—21no—
406#398D411yescharacteristic
407#397—21no—
408#397—21no—
409#397—21no—
410#397—21no—
411#397D411yescharacteristic
412#396D411yescharacteristic
413#396D411yescharacteristic
414#395—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#393—21no—
430#393—21no—
431#393—21no—
432#392—21no—
433#392—21no—
434#392—21no—
435#392—21no—
436#392—21no—
437#392—21no—
438#392—21no—
439#392—21no—
440#392D411yescharacteristic
441#391—21no—
442#391—21no—
443#391—21no—
444#391—21no—
445#391C2311yescharacteristic
446#391C2311yescharacteristic
447#391C2311yescharacteristic
448#391C2311yescharacteristic
449#391C2311yescharacteristic
450#390—21no—
451#390—21no—
452#390—21no—
453#390—21no—
454#390—21no—
455#390C2311yescharacteristic
456#390C2311yescharacteristic
457#390C2311yescharacteristic
458#390C2311yescharacteristic
459#390C2311yescharacteristic
460#389—21no—
461#389C2311yescharacteristic
462#389C2311yescharacteristic
463#388—21no—
464#388—21no—
465#388—21no—
466#388—21no—
467#388—21no—
468#388—21no—
469#388—21no—
470#388—21no—
471#387—21no—
472#387—21no—
473#386—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#386—21no—
485#386—21no—
486#386—21no—
487#386—21no—
488#385—21no—
489#385—21no—
490#385—21no—
491#385—21no—
492#385—21no—
493#382—21no—
494#382C2311yescharacteristic
495#382C2311yescharacteristic
496#381—21no—
497#381—21no—
498#380—21no—
499#380—21no—
500#380C2311yescharacteristic
501#380C2311yescharacteristic
502#380C2311yescharacteristic
503#380C2311yescharacteristic
504#380C2311yescharacteristic
505#380C2311yescharacteristic
506#379—21no—
507#379—21no—
508#379—21no—
509C4×C4⋊C4C2311yescharacteristic
510C4×C4⋊C4C2311yescharacteristic
511C4×C4⋊C4C2311yescharacteristic
512C4×C22⋊C4—21no—
513C4×C22⋊C4—21no—
514C4×C22⋊C4C2311yescharacteristic
515C4×C22⋊C4C2311yescharacteristic
516C2×#95—21no—
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#336C2311yescharacteristic
528#336C2311yescharacteristic
529#336C2311yescharacteristic
530#336C2311yescharacteristic
531#336C2311yescharacteristic
532#336C2311yescharacteristic
533C25—21no—
534C25—21no—
535C25—21no—
536C2×#41—22no—
537C2×#41—22no—
538C2×#41—22no—
539C2×#41—41no—
540C2×#41—41no—
541C2×#41—41no—
542C2×#41—41no—
543C2×#41—41no—
544C2×#41—41no—
545C2×#41—41no—
546C2×#41—41no—
547C2×#41—41no—
548C22×Q8—21no—
549C22×Q8—21no—
550C22×Q8—22no—
551C22×Q8—22no—
552C22×Q8—41no—
553C22×Q8—41no—
554C22×Q8—41no—
555C22×Q8—41no—
556C22×Q8C2411yescharacteristic
557C22×Q8C2411yescharacteristic
558C22×Q8C2411yescharacteristic
559C22×D4—21no—
560C22×D4—22no—
561C22×D4—22no—
562C22×D4—22no—
563C22×D4—22no—
564C22×D4—22no—
565C22×D4—21no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—21no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—21no—
576C22×D4—21no—
577C22×D4—21no—
578C22×D4—21no—
579C22×D4—21no—
580C22×D4—21no—
581C22×D4—21no—
582C22×D4—41no—
583C22×D4—41no—
584C22×D4—41no—
585C22×D4—41no—
586C22×D4—41no—
587C22×D4—41no—
588C22×D4—41no—
589C22×D4—41no—
590C22×D4—41no—
591C22×D4—41no—
592C22×D4—41no—
593C22×D4—41no—
594C22×D4—41no—
595C22×D4—44no—
596C22×D4—44no—
597C22×D4—82no—
598C22×D4—82no—
599C22×D4—82no—
600C22×D4—82no—
601C22×D4C2×D411yescharacteristic
602C22×D4C2×D411yescharacteristic
603C22×D4C2×D411yescharacteristic
604C22×D4C2411yescharacteristic
605C22×D4C2411yescharacteristic
606C22×D4C2411yescharacteristic
607C22×D4C2411yescharacteristic
608C22×D4C2411yescharacteristic
609C23×C4—21no—
610C23×C4—21no—
611C23×C4—21no—
612C23×C4—21no—
613C23×C4—21no—
614C23×C4—21no—
615C23×C4—21no—
616C23×C4—21no—
617C23×C4C2411yescharacteristic
618C23×C4C2411yescharacteristic
619C23×C4C2411yescharacteristic
620AGL(1,ℤ/8)—416no—
621C2×Q16—22no—
622C2×Q16—22no—
623C2×Q16—41no—
624C2×Q16—41no—
625C2×Q16—41no—
626C2×Q16—41no—
627C2×SD16—22no—
628C2×SD16—22no—
629C2×SD16—22no—
630C2×SD16—22no—
631C2×SD16—22no—
632C2×SD16—22no—
633C2×SD16—22no—
634C2×SD16—22no—
635C2×SD16—22no—
636C2×SD16—22no—
637C2×SD16—22no—
638C2×SD16—22no—
639C2×SD16—41no—
640C2×SD16—41no—
641C2×SD16—41no—
642C2×SD16—41no—
643C2×SD16—41no—
644C2×SD16—41no—
645C2×SD16—41no—
646C2×SD16—41no—
647C2×SD16—41no—
648C2×SD16—41no—
649C2×SD16—41no—
650C2×SD16—41no—
651C2×SD16—41no—
652C2×SD16—416no—
653C2×SD16C2×D414yes—
654C2×SD16C2×D414yescomplemented
655C2×D8—22no—
656C2×D8—22no—
657C2×D8—22no—
658C2×D8—41no—
659C2×D8—41no—
660C2×D8—41no—
661C2×D8—41no—
662C2×D8—41no—
663C2×D8—41no—
664C2×D8—41no—
665C2×D8C2×D414yes—
666C2×D8C2×D414yescomplemented
667C2×M16—22no—
668C2×M16—41no—
669C2×M16—41no—
670C22×C8—22no—
671C22×C8—41no—
672C22×C8—41no—
673C22×C8C2411yescharacteristic
674C22×C8C2411yescharacteristic
675C22×C8C2411yescharacteristic
676C22×C8C2411yescharacteristic
677C22×C8C2411yescharacteristic
678C22×C8C2411yescharacteristic
679C22×C8C2411yescharacteristic
680C22×C8C2411yescharacteristic
681C4⋊Q8—22no—
682C4⋊Q8—22no—
683#127—22no—
684#127—22no—
685#127—22no—
686#127—41no—
687#127—41no—
688#127C2×D414yes—
689#126—44no—
690#124—22no—
691#124—22no—
692#124—22no—
693#124—22no—
694#124—22no—
695#124—41no—
696#124—41no—
697#124—44no—
698#124—44no—
699#124C2×D414yescomplemented
700#123—44no—
701#123—44no—
702C22⋊Q8—22no—
703C22⋊Q8—22no—
704C22⋊Q8—22no—
705C22⋊Q8—22no—
706C22⋊Q8—44no—
707C22⋊Q8—44no—
708C22⋊Q8—41no—
709C22⋊Q8—41no—
710C22⋊Q8—41no—
711C22⋊Q8—41no—
712C22⋊Q8—41no—
713C22⋊Q8—41no—
714#121—22no—
715#121—22no—
716#121—22no—
717#121—22no—
718#121—22no—
719#121—22no—
720#121—22no—
721#121—44no—
722#121—44no—
723#121—41no—
724#121—41no—
725#121—41no—
726#121—41no—
727#121—41no—
728#121—44no—
729#121—44no—
730#121—44no—
731#121—44no—
732#121—41no—
733#121—41no—
734#121—82no—
735#120—44no—
736#120—44no—
737#120—44no—
738#120—44no—
739#120—44no—
740#120—44no—
741#120—44no—
742#120—82no—
743#120—82no—
744#120—82no—
745C4×Q8—22no—
746C4×Q8—22no—
747C4×Q8—22no—
748C4×Q8—41no—
749C4×Q8—41no—
750C4×Q8—41no—
751C4×D4—22no—
752C4×D4—22no—
753C4×D4—22no—
754C4×D4—22no—
755C4×D4—22no—
756C4×D4—22no—
757C4×D4—22no—
758C4×D4—41no—
759C4×D4—41no—
760C4×D4—41no—
761C4×D4—41no—
762C4×D4—41no—
763C4×D4—41no—
764C4×D4—41no—
765C4×D4—41no—
766C4×D4—41no—
767C4×D4—44no—
768C4×D4—82no—
769#117—22no—
770#117—22no—
771C2×C4⋊C4—21no—
772C2×C4⋊C4—21no—
773C2×C4⋊C4—21no—
774C2×C4⋊C4—21no—
775C2×C4⋊C4—21no—
776C2×C4⋊C4—21no—
777C2×C4⋊C4—21no—
778C2×C4⋊C4—21no—
779C2×C4⋊C4—21no—
780C2×C4⋊C4—21no—
781C2×C4⋊C4—21no—
782C2×C4⋊C4C2×D411yescharacteristic
783C2×C4⋊C4C2×D411yescharacteristic
784C2×C4⋊C4C2×D411yescharacteristic
785C2×C4⋊C4C2×D411yescharacteristic
786C2×C4⋊C4C2×D411yescharacteristic
787C2×C4⋊C4C2×D411yescharacteristic
788C2×C4⋊C4C2×D411yescharacteristic
789C2×C4⋊C4C2411yescharacteristic
790C2×C4⋊C4C2411yescharacteristic
791C2×C4⋊C4C2411yescharacteristic
792C2×C4⋊C4C2411yescharacteristic
793C2×C4⋊C4C2411yescharacteristic
794C2×C4⋊C4C2411yescharacteristic
795C2×C4⋊C4C2411yescharacteristic
796C2×C4⋊C4C2411yescharacteristic
797C2×C22⋊C4—21no—
798C2×C22⋊C4—21no—
799C2×C22⋊C4—21no—
800C2×C22⋊C4—21no—
801C2×C22⋊C4—21no—
802C2×C22⋊C4—21no—
803C2×C22⋊C4—21no—
804C2×C22⋊C4—21no—
805C2×C22⋊C4—21no—
806C2×C22⋊C4—21no—
807C2×C22⋊C4—21no—
808C2×C22⋊C4—21no—
809C2×C22⋊C4—21no—
810C2×C22⋊C4—21no—
811C2×C22⋊C4—21no—
812C2×C22⋊C4—21no—
813C2×C22⋊C4—21no—
814C2×C22⋊C4—21no—
815C2×C22⋊C4—21no—
816C2×C22⋊C4—21no—
817C2×C22⋊C4—21no—
818C2×C22⋊C4—21no—
819C2×C22⋊C4—21no—
820C2×C22⋊C4—21no—
821C2×C22⋊C4—21no—
822C2×C22⋊C4—21no—
823C2×C22⋊C4—21no—
824C2×C22⋊C4—21no—
825C2×C22⋊C4—21no—
826C2×C22⋊C4—21no—
827C2×C22⋊C4—21no—
828C2×C22⋊C4—21no—
829C2×C22⋊C4—21no—
830C2×C22⋊C4—21no—
831C2×C22⋊C4—21no—
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—44no—
839C2×C22⋊C4C2×D411yescharacteristic
840C2×C22⋊C4C2×D411yescharacteristic
841C2×C22⋊C4C2×D411yescharacteristic
842C2×C22⋊C4C2×D411yescharacteristic
843C2×C22⋊C4C2×D411yescharacteristic
844C2×C22⋊C4C2×D411yescharacteristic
845C2×C22⋊C4C2×D411yescharacteristic
846C2×C22⋊C4C2×D411yescharacteristic
847C2×C22⋊C4C2×D411yescharacteristic
848C2×C22⋊C4C2×D411yescharacteristic
849C2×C22⋊C4C2×D411yescharacteristic
850C2×C22⋊C4C2×D411yescharacteristic
851C2×C42—21no—
852C2×C42—21no—
853C2×C42—21no—
854C2×C42—21no—
855C2×C42—21no—
856C2×C42C2411yescharacteristic
857C2×C42C2411yescharacteristic
858C2×C42C2411yescharacteristic
859C2×C42C2411yescharacteristic
860#107—22no—
861#107—22no—
862#106—41no—
863#106—41no—
864#106—41no—
865C4⋊C8—22no—
866C4⋊C8—22no—
867C4⋊C8—22no—
868C4⋊C8—22no—
869C4⋊C8—41no—
870C4⋊C8—41no—
871#103—22no—
872#103—22no—
873#103—22no—
874#103—22no—
875#103—22no—
876#103—22no—
877#103—22no—
878#103—41no—
879#103—41no—
880#103—41no—
881#103—41no—
882#102—22no—
883#102—22no—
884#102—22no—
885#102—22no—
886#102—22no—
887#102—22no—
888#102—22no—
889#102—22no—
890#102—22no—
891#102—22no—
892#102—22no—
893#102—22no—
894#102—41no—
895#102—41no—
896#102—41no—
897#102—41no—
898#102—41no—
899#102—41no—
900#102—41no—
901#102—41no—
902#102—41no—
903#102—41no—
904#102—41no—
905C22⋊C8—22no—
906C22⋊C8—22no—
907C22⋊C8—22no—
908C22⋊C8—22no—
909C22⋊C8—41no—
910C22⋊C8—41no—
911C22⋊C8—41no—
912C22⋊C8—41no—
913C22⋊C8—41no—
914C22⋊C8—41no—
915#97—41no—
916#97C2×D414yescomplemented
917C4×C8—22no—
918C4×C8—41no—
919#95—21no—
920#95—21no—
921#95—21no—
922#95—21no—
923#95—21no—
924#95—21no—
925#95—21no—
926#95—21no—
927#95—21no—
928#95—21no—
929#95—21no—
930#95—21no—
931#95—21no—
932#95—21no—
933#95—21no—
934#95—21no—
935#95—21no—
936#95—21no—
937#95—21no—
938#95—21no—
939#95—21no—
940#95—21no—
941#95—21no—
942#95—21no—
943#95C2×D411yescharacteristic
944#95C2×D411yescharacteristic
945#95C2×D411yescharacteristic
946#95C2×D411yescharacteristic
947#95C2×D411yescharacteristic
948#95C2×D411yescharacteristic
949C24—21no—
950C24—21no—
951C24—21no—
952C24—21no—
953C24—21no—
954C24—42no—
955C24—42no—
956C24—42no—
957C24—42no—
958C24—42no—
959C24—42no—
960C24—42no—
961C24—42no—
962C24—81no—
963C24—81no—
964C24—81no—
965C24—81no—
966C24—81no—
967C24—81no—
968C24—81no—
969C24—81no—
970C24—81no—
971C24—81no—
972C24—81no—
973C24—81no—
974C24—81no—
975C24C22×D411yescharacteristic
976C24C22×D411yescharacteristic
977C24C22×D411yescharacteristic
978#41—44no—
979#41—82no—
980#41—82no—
981#41—82no—
982#41—82no—
983#41—82no—
984#41—82no—
985#41—82no—
986C2×Q8—21no—
987C2×Q8—21no—
988C2×Q8—21no—
989C2×Q8—21no—
990C2×Q8—21no—
991C2×Q8—21no—
992C2×Q8—21no—
993C2×Q8—21no—
994C2×Q8—21no—
995C2×Q8—21no—
996C2×Q8—21no—
997C2×Q8—21no—
998C2×Q8—21no—
999C2×Q8—21no—
1000C2×Q8—21no—
1001C2×Q8—21no—
1002C2×Q8—42no—
1003C2×Q8—42no—
1004C2×Q8—42no—
1005C2×Q8—44no—
1006C2×Q8—81no—
1007C2×Q8—81no—
1008C2×Q8—81no—
1009C2×Q8—82no—
1010C2×Q8—82no—
1011C2×Q8—82no—
1012C2×Q8C22×D412yes—
1013C2×Q8H(5,𝔽2)12yes—
1014C2×D4—22no—
1015C2×D4—24no—
1016C2×D4—22no—
1017C2×D4—22no—
1018C2×D4—24no—
1019C2×D4—24no—
1020C2×D4—21no—
1021C2×D4—21no—
1022C2×D4—21no—
1023C2×D4—21no—
1024C2×D4—21no—
1025C2×D4—21no—
1026C2×D4—21no—
1027C2×D4—21no—
1028C2×D4—21no—
1029C2×D4—21no—
1030C2×D4—21no—
1031C2×D4—21no—
1032C2×D4—21no—
1033C2×D4—21no—
1034C2×D4—21no—
1035C2×D4—21no—
1036C2×D4—21no—
1037C2×D4—21no—
1038C2×D4—21no—
1039C2×D4—21no—
1040C2×D4—21no—
1041C2×D4—21no—
1042C2×D4—21no—
1043C2×D4—21no—
1044C2×D4—21no—
1045C2×D4—21no—
1046C2×D4—41no—
1047C2×D4—41no—
1048C2×D4—41no—
1049C2×D4—41no—
1050C2×D4—41no—
1051C2×D4—41no—
1052C2×D4—42no—
1053C2×D4—42no—
1054C2×D4—42no—
1055C2×D4—42no—
1056C2×D4—42no—
1057C2×D4—42no—
1058C2×D4—42no—
1059C2×D4—42no—
1060C2×D4—42no—
1061C2×D4—42no—
1062C2×D4—42no—
1063C2×D4—42no—
1064C2×D4—42no—
1065C2×D4—44no—
1066C2×D4—44no—
1067C2×D4—42no—
1068C2×D4—42no—
1069C2×D4—42no—
1070C2×D4—42no—
1071C2×D4—42no—
1072C2×D4—42no—
1073C2×D4—42no—
1074C2×D4—42no—
1075C2×D4—42no—
1076C2×D4—42no—
1077C2×D4—42no—
1078C2×D4—42no—
1079C2×D4—81no—
1080C2×D4—81no—
1081C2×D4—81no—
1082C2×D4—81no—
1083C2×D4—81no—
1084C2×D4—81no—
1085C2×D4—81no—
1086C2×D4—81no—
1087C2×D4—81no—
1088C2×D4—81no—
1089C2×D4—81no—
1090C2×D4—81no—
1091C2×D4—81no—
1092C2×D4—81no—
1093C2×D4—82no—
1094C2×D4—82no—
1095C2×D4—82no—
1096C2×D4—82no—
1097C2×D4—82no—
1098C2×D4—82no—
1099C2×D4—82no—
1100C2×D4—82no—
1101C2×D4—82no—
1102C2×D4—82no—
1103C2×D4—81no—
1104C2×D4—81no—
1105C2×D4—81no—
1106C2×D4—81no—
1107C2×D4—81no—
1108C2×D4—81no—
1109C2×D4—81no—
1110C2×D4—81no—
1111C2×D4—81no—
1112C2×D4—81no—
1113C2×D4—81no—
1114C2×D4—81no—
1115C2×D4—816no—
1116C2×D4—816no—
1117C2×D4C22×D412yes—
1118C2×D4C22×D412yes—
1119C2×D4C22×D412yes—
1120C2×D4H(5,𝔽2)12yes—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—21no—
1128C22×C4—21no—
1129C22×C4—21no—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—21no—
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—42no—
1151C22×C4—42no—
1152C22×C4—42no—
1153C22×C4—42no—
1154C22×C4—42no—
1155C22×C4—42no—
1156C22×C4—42no—
1157C22×C4—42no—
1158C22×C4—42no—
1159C22×C4—42no—
1160C22×C4—42no—
1161C22×C4—81no—
1162C22×C4—81no—
1163C22×C4—81no—
1164C22×C4—81no—
1165C22×C4—81no—
1166C22×C4—81no—
1167C22×C4—81no—
1168C22×C4—81no—
1169C22×C4—81no—
1170C22×C4—81no—
1171C22×C4—81no—
1172C22×C4—81no—
1173C22×C4—81no—
1174C22×C4C22×D411yescharacteristic
1175C22×C4C22×D411yescharacteristic
1176C22×C4C22×D411yescharacteristic
1177C22×C4C22×D411yescharacteristic
1178C22×C4C22×D411yescharacteristic
1179C22×C4C22×D411yescharacteristic
1180C22×C4C22×D411yescharacteristic
1181C22×C4C22×D411yescharacteristic
1182C22×C4C22×D411yescharacteristic
1183C22×C4C22×D411yescharacteristic
1184C22×C4C22×D411yescharacteristic
1185C22×C4C2511yescharacteristic
1186Q16—82no—
1187Q16—82no—
1188SD16—28no—
1189SD16—44no—
1190SD16—44no—
1191SD16—44no—
1192SD16—44no—
1193SD16—44no—
1194SD16—82no—
1195SD16—82no—
1196SD16—82no—
1197D8—44no—
1198D8—44no—
1199D8—44no—
1200D8—82no—
1201M16—44no—
1202C2×C8—21no—
1203C2×C8—21no—
1204C2×C8—21no—
1205C2×C8—21no—
1206C2×C8—21no—
1207C2×C8—21no—
1208C2×C8—21no—
1209C2×C8—21no—
1210C2×C8—21no—
1211C2×C8—21no—
1212C2×C8—21no—
1213C2×C8—21no—
1214C2×C8—21no—
1215C2×C8—21no—
1216C2×C8—21no—
1217C2×C8—21no—
1218C2×C8—21no—
1219C2×C8—21no—
1220C2×C8—21no—
1221C2×C8—21no—
1222C2×C8—21no—
1223C2×C8—21no—
1224C2×C8—44no—
1225C2×C8C22×D412yes—
1226C2×C8C22×D412yes—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—21no—
1231C4⋊C4—21no—
1232C4⋊C4—21no—
1233C4⋊C4—21no—
1234C4⋊C4—21no—
1235C4⋊C4—21no—
1236C4⋊C4—21no—
1237C4⋊C4—21no—
1238C4⋊C4—21no—
1239C4⋊C4—21no—
1240C4⋊C4—21no—
1241C4⋊C4—21no—
1242C4⋊C4—21no—
1243C4⋊C4—21no—
1244C4⋊C4—21no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—42no—
1250C4⋊C4—42no—
1251C4⋊C4—42no—
1252C4⋊C4—42no—
1253C4⋊C4—42no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—81no—
1257C4⋊C4—81no—
1258C4⋊C4—81no—
1259C4⋊C4—81no—
1260C4⋊C4H(5,𝔽2)12yes—
1261C22⋊C4—24no—
1262C22⋊C4—22no—
1263C22⋊C4—24no—
1264C22⋊C4—24no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—42no—
1277C22⋊C4—42no—
1278C22⋊C4—42no—
1279C22⋊C4—42no—
1280C22⋊C4—42no—
1281C22⋊C4—42no—
1282C22⋊C4—42no—
1283C22⋊C4—42no—
1284C22⋊C4—42no—
1285C22⋊C4—42no—
1286C22⋊C4—42no—
1287C22⋊C4—42no—
1288C22⋊C4—42no—
1289C22⋊C4—42no—
1290C22⋊C4—42no—
1291C22⋊C4—42no—
1292C22⋊C4—42no—
1293C22⋊C4—42no—
1294C22⋊C4—42no—
1295C22⋊C4—42no—
1296C22⋊C4—81no—
1297C22⋊C4—81no—
1298C22⋊C4—81no—
1299C22⋊C4—81no—
1300C22⋊C4—81no—
1301C22⋊C4—81no—
1302C22⋊C4—81no—
1303C22⋊C4—81no—
1304C22⋊C4—81no—
1305C22⋊C4—81no—
1306C22⋊C4—81no—
1307C22⋊C4—81no—
1308C22⋊C4—81no—
1309C22⋊C4—81no—
1310C22⋊C4—81no—
1311C22⋊C4—81no—
1312C22⋊C4—81no—
1313C22⋊C4—81no—
1314C42—21no—
1315C42—21no—
1316C42—21no—
1317C42—21no—
1318C42—21no—
1319C42—21no—
1320C42—42no—
1321C42—42no—
1322C42—81no—
1323C42—81no—
1324C42—81no—
1325C42C22×D412yes—
1326C42H(5,𝔽2)12yes—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—22no—
1340C23—21no—
1341C23—21no—
1342C23—22no—
1343C23—22no—
1344C23—22no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—41no—
1352C23—41no—
1353C23—41no—
1354C23—41no—
1355C23—41no—
1356C23—41no—
1357C23—41no—
1358C23—41no—
1359C23—41no—
1360C23—41no—
1361C23—41no—
1362C23—41no—
1363C23—41no—
1364C23—41no—
1365C23—41no—
1366C23—41no—
1367C23—41no—
1368C23—41no—
1369C23—41no—
1370C23—41no—
1371C23—41no—
1372C23—41no—
1373C23—41no—
1374C23—41no—
1375C23—41no—
1376C23—41no—
1377C23—41no—
1378C23—41no—
1379C23—41no—
1380C23—41no—
1381C23—41no—
1382C23—84no—
1383C23—84no—
1384C23—84no—
1385C23—84no—
1386C23—84no—
1387C23—84no—
1388C23—84no—
1389C23—84no—
1390C23—162no—
1391C23—162no—
1392C23—162no—
1393C23—162no—
1394C23—162no—
1395C23—162no—
1396C23—162no—
1397C23—162no—
1398C23—162no—
1399C23—162no—
1400C23—162no—
1401C23—162no—
1402C23—162no—
1403C23#57712yes—
1404C23C23×D411yescharacteristic
1405Q8—22no—
1406Q8—22no—
1407Q8—22no—
1408Q8—22no—
1409Q8—41no—
1410Q8—41no—
1411Q8—41no—
1412Q8—41no—
1413Q8—41no—
1414Q8—41no—
1415Q8—41no—
1416Q8—41no—
1417Q8—84no—
1418Q8—162no—
1419D4—22no—
1420D4—22no—
1421D4—22no—
1422D4—22no—
1423D4—22no—
1424D4—22no—
1425D4—22no—
1426D4—22no—
1427D4—44no—
1428D4—44no—
1429D4—41no—
1430D4—41no—
1431D4—41no—
1432D4—41no—
1433D4—41no—
1434D4—41no—
1435D4—41no—
1436D4—41no—
1437D4—41no—
1438D4—41no—
1439D4—41no—
1440D4—41no—
1441D4—84no—
1442D4—84no—
1443D4—82no—
1444D4—84no—
1445D4—84no—
1446D4—84no—
1447D4—84no—
1448D4—84no—
1449D4—84no—
1450D4—84no—
1451D4—84no—
1452D4—84no—
1453D4—84no—
1454D4—84no—
1455D4—162no—
1456D4—162no—
1457D4—162no—
1458D4—162no—
1459D4—162no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—41no—
1495C2×C4—41no—
1496C2×C4—41no—
1497C2×C4—41no—
1498C2×C4—41no—
1499C2×C4—41no—
1500C2×C4—41no—
1501C2×C4—41no—
1502C2×C4—41no—
1503C2×C4—41no—
1504C2×C4—41no—
1505C2×C4—41no—
1506C2×C4—41no—
1507C2×C4—41no—
1508C2×C4—41no—
1509C2×C4—41no—
1510C2×C4—41no—
1511C2×C4—41no—
1512C2×C4—41no—
1513C2×C4—41no—
1514C2×C4—41no—
1515C2×C4—41no—
1516C2×C4—41no—
1517C2×C4—41no—
1518C2×C4—41no—
1519C2×C4—41no—
1520C2×C4—41no—
1521C2×C4—41no—
1522C2×C4—41no—
1523C2×C4—41no—
1524C2×C4—41no—
1525C2×C4—41no—
1526C2×C4—41no—
1527C2×C4—41no—
1528C2×C4—41no—
1529C2×C4—41no—
1530C2×C4—41no—
1531C2×C4—41no—
1532C2×C4—41no—
1533C2×C4—41no—
1534C2×C4—41no—
1535C2×C4—41no—
1536C2×C4—84no—
1537C2×C4—84no—
1538C2×C4—84no—
1539C2×C4—84no—
1540C2×C4—84no—
1541C2×C4—162no—
1542C2×C4—162no—
1543C2×C4—162no—
1544C2×C4D4212yes—
1545C2×C4D4212yes—
1546C2×C4C23×D411yescharacteristic
1547C2×C4C2×H(5,𝔽2)11yescharacteristic
1548C2×C4C2×H(5,𝔽2)11yescharacteristic
1549C2×C4C2×H(5,𝔽2)11yescharacteristic
1550C2×C4C2×H(5,𝔽2)11yescharacteristic
1551C2×C4#58511yescharacteristic
1552C8—22no—
1553C8—22no—
1554C8—41no—
1555C8—41no—
1556C8—41no—
1557C8—41no—
1558C8—41no—
1559C8—41no—
1560C22—22no—
1561C22—22no—
1562C22—22no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—42no—
1572C22—42no—
1573C22—42no—
1574C22—42no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—42no—
1579C22—42no—
1580C22—42no—
1581C22—41no—
1582C22—42no—
1583C22—42no—
1584C22—42no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—42no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—42no—
1593C22—81no—
1594C22—81no—
1595C22—81no—
1596C22—81no—
1597C22—81no—
1598C22—81no—
1599C22—81no—
1600C22—81no—
1601C22—81no—
1602C22—81no—
1603C22—81no—
1604C22—81no—
1605C22—81no—
1606C22—81no—
1607C22—81no—
1608C22—81no—
1609C22—81no—
1610C22—81no—
1611C22—81no—
1612C22—81no—
1613C22—81no—
1614C22—81no—
1615C22—81no—
1616C22—168no—
1617C22—168no—
1618C22—168no—
1619C22C2×D4211yescharacteristic
1620C22#348411yescharacteristic
1621C22#348811yescharacteristic
1622C22C2×#57711yescharacteristic
1623C22#358411yescharacteristic
1624C22#358511yescharacteristic
1625C22#358511yescharacteristic
1626C4—22no—
1627C4—22no—
1628C4—41no—
1629C4—41no—
1630C4—41no—
1631C4—42no—
1632C4—42no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—42no—
1640C4—81no—
1641C4—81no—
1642C4—81no—
1643C4—81no—
1644C4—81no—
1645C4—81no—
1646C4—81no—
1647C4—81no—
1648C4#348411yescharacteristic
1649C4#349611yescharacteristic
1650C4#354311yescharacteristic
1651C4#355811yescharacteristic
1652C2—42no—
1653C2—81no—
1654C2—81no—
1655C2—82no—
1656C2—82no—
1657C2—82no—
1658C2—82no—
1659C2—161no—
1660C2#4487711yescharacteristic
1661C2#6107111yescharacteristic
1662C2#6109211yescharacteristic
1663C2#6164011yescharacteristic
1664C2#6164411yescharacteristic
1665C2#6200911yescharacteristic
1666C2#6204911yescharacteristic
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×#3265C2semidirect
2. C2×#3224C2semidirect
3. #45316C2semidirect
4. #44877C2semidirect
5. #31068C2semidirect
6. #31058C2semidirect
7. #31000C2semidirect
8. #30996C2semidirect
9. #30608C2semidirect
10. #30591C2semidirect
11. #30422C2semidirect
12. #30400C2semidirect
13. #28612C2semidirect
14. #28436C2semidirect
15. #25881C2semidirect
16. #25761C2semidirect
17. #25372C2semidirect
18. #25325C2semidirect
19. #25177C2semidirect
20. #25162C2semidirect
21. #24373C2semidirect
22. #24356C2semidirect
23. #24252C2semidirect
24. #24245C2semidirect
25. #24220C2semidirect
26. #24166C2semidirect
27. #23860C2semidirect
28. #23852C2semidirect
29. #23715C2semidirect
30. #23195C2semidirect
31. #22144C2semidirect
33. C23×SD16C22semidirect
34. C2×#548C22semidirect
38. C2×#542C22semidirect
43. C2×#495C22semidirect
44. C2×#489C22semidirect
46. C2×#476C22semidirect
47. C2×#468C22semidirect
49. C2×#464C22semidirect
50. C2×#464C22semidirect
53. C2×#460C22semidirect
54. C2×#463C22semidirect
55. C2×#463C22semidirect
56. C2×#463C22semidirect
57. C2×#459C22semidirect
58. C2×#452C22semidirect
59. C2×#452C22semidirect
60. C2×#452C22semidirect
61. C2×#449C22semidirect
62. C2×#449C22semidirect
63. C2×#449C22semidirect
64. C2×#451C22semidirect
66. C2×#448C22semidirect
68. C2×#450C22semidirect
69. C2×#450C22semidirect
70. C2×#447C22semidirect
71. C2×#447C22semidirect
72. C2×#440C22semidirect
73. C2×#440C22semidirect
74. C2×C4×D8C22semidirect
75. C2×#435C22semidirect
76. C2×#433C22semidirect
85. #2568C22semidirect
86. #2563C22semidirect
90. #2536C22semidirect
91. #2535C22semidirect
100. #2421C22semidirect
101. #2420C22semidirect
103. #2409C22semidirect
107. #2407C22semidirect
110. #2367C22semidirect
112. Q8×C22⋊C4C22semidirect
113. #2339C22semidirect
115. #2323C22semidirect
116. #2097C22semidirect
117. #2092C22semidirect
118. #2086C22semidirect
119. #2076C22semidirect
120. #2073C22semidirect
121. #2073C22semidirect
122. #2068C22semidirect
123. #2065C22semidirect
124. #2055C22semidirect
125. #2055C22semidirect
126. #2055C22semidirect
127. #2055C22semidirect
128. #2055C22semidirect
129. #2042C22semidirect
130. #2041C22semidirect
131. #2036C22semidirect
132. #2035C22semidirect
133. #2035C22semidirect
134. #2035C22semidirect
137. #2034C22semidirect
138. #2034C22semidirect
139. #2034C22semidirect
140. #2034C22semidirect
142. #2033C22semidirect
143. #2015C22semidirect
144. #2015C22semidirect
145. #2015C22semidirect
147. #2014C22semidirect
149. #2001C22semidirect
152. #2000C22semidirect
153. #2000C22semidirect
155. #1999C22semidirect
156. #1988C22semidirect
157. #1983C22semidirect
158. #1983C22semidirect
160. #1972C22semidirect
161. #1971C22semidirect
162. #1968C22semidirect
163. #1968C22semidirect
165. #1958C22semidirect
166. #1955C22semidirect
167. #1954C22semidirect
168. #1954C22semidirect
169. #1939C22semidirect
170. #1924C22semidirect
171. #1923C22semidirect
172. #1895C22semidirect
173. #1894C22semidirect
174. #1893C22semidirect
175. #1892C22semidirect
176. #1880C22semidirect
177. #1880C22semidirect
178. #1879C22semidirect
179. #1879C22semidirect
180. #1879C22semidirect
181. #1879C22semidirect
182. #1878C22semidirect
183. #1877C22semidirect
184. #1877C22semidirect
185. #1877C22semidirect
186. #1870C22semidirect
187. #1869C22semidirect
188. #1865C22semidirect
189. #1864C22semidirect
190. #1851C22semidirect
191. #1850C22semidirect
192. #1804C22semidirect
193. #1804C22semidirect
194. #1798C22semidirect
195. #1788C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
201. #1776C22semidirect
202. #1771C22semidirect
203. C4×#103C22semidirect
204. C4×#102C22semidirect
307. #496D4semidirect
654. C2×SD16C2×D4semidirect
666. C2×D8C2×D4semidirect
699. #124C2×D4semidirect
916. #97C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32652
C2×#32242
#453162
#448772
#310682
#310582
#310002
#309962
#306082
#305912
#304222
#304002
#286122
#284362
#258812
#257612
#253722
#253252
#251772
#251622
#243732
#243562
#242522
#242452
#242202
#241662
#238602
#238522
#237152
#231952
#221442