Finite Group Databasebeta

← #7021754

Subgroups — #7021754

Order 512.

2319 conjugacy classes of subgroups.

The subgroup lattice has 1623 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3316C211yesmaximal, characteristic, complemented
2C2×#3275C211yesmaximal, characteristic, complemented
3#45417C211yesmaximal, characteristic, complemented
4#45263C211yesmaximal, characteristic, complemented
5#30925C211yesmaximal, characteristic, complemented
6#30905C211yesmaximal, characteristic, complemented
7#30851C211yesmaximal, characteristic, complemented
8#30746C211yesmaximal, characteristic, complemented
9#30719C211yesmaximal, characteristic, complemented
10#30544C211yesmaximal, characteristic, complemented
11#30506C211yesmaximal, characteristic, complemented
12#30457C211yesmaximal, characteristic, complemented
13#28133C211yesmaximal, characteristic, complemented
14#28113C211yesmaximal, characteristic, complemented
15#26898C211yesmaximal, characteristic, complemented
16#26629C211yesmaximal, characteristic, complemented
17#26615C211yesmaximal, characteristic, complemented
18#25169C211yesmaximal, characteristic, complemented
19#25086C211yesmaximal, characteristic, complemented
20#24439C211yesmaximal, characteristic, complemented
21#24368C211yesmaximal, characteristic, complemented
22#24275C211yesmaximal, characteristic, complemented
23#24220C211yesmaximal, characteristic, complemented
24#24038C211yesmaximal, characteristic, complemented
25#23969C211yesmaximal, characteristic, complemented
26#23867C211yesmaximal, characteristic, complemented
27#23854C211yesmaximal, characteristic, complemented
28#23854C211yesmaximal, characteristic, complemented
29#23426C211yesmaximal, characteristic, complemented
30#22203C211yesmaximal, characteristic, complemented
31#22175C211yesmaximal, characteristic, complemented
32C22×#137C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×#135C2211yescharacteristic
35C2×#554C2211yescharacteristic
36C2×#548C2211yescharacteristic
37C2×#548C2211yescharacteristic
38C2×#548C2211yescharacteristic
39C2×#546C2211yescharacteristic
40C2×#535C2211yescharacteristic
41#3316—28no—
42#3275—28no—
43C2×#495C2211yescharacteristic
44C2×#489C2211yescharacteristic, complemented
45C2×#481C2211yescharacteristic, complemented
46C2×#483C2211yescharacteristic
47C2×#475C2211yescharacteristic, complemented
48C2×#470C2211yescharacteristic
49C2×#469C2211yescharacteristic
50C2×#466C2211yescharacteristic
51C2×#465C2211yescharacteristic
52C2×#465C2211yescharacteristic, complemented
53C2×#464C2211yescharacteristic
54C2×#464C2211yescharacteristic
55C2×#464C2211yescharacteristic, complemented
56C2×#460C2211yescharacteristic
57C2×#463C2211yescharacteristic
58C2×#452C2211yescharacteristic
59C2×#452C2211yescharacteristic
60C2×#449C2211yescharacteristic
61C2×#451C2211yescharacteristic, complemented
62C2×#451C2211yescharacteristic, complemented
63C2×#451C2211yescharacteristic, complemented
64C2×#448C2211yescharacteristic
65C2×#448C2211yescharacteristic, complemented
66C2×#448C2211yescharacteristic, complemented
67C2×#450C2211yescharacteristic
68C2×#441C2211yescharacteristic, complemented
69C2×C4×SD16C2211yescharacteristic
70C2×#436C2211yescharacteristic
71C2×#435C2211yescharacteristic
72C2×#417C2211yescharacteristic
73C22×#103C2211yescharacteristic, complemented
74C22×#102C2211yescharacteristic
75#2704—21no—
76#2700—21no—
77#2692—21no—
78#2681—21no—
79#2676—21no—
80#2672—21no—
81#2670—21no—
82#2669—21no—
83#2548C2211yescharacteristic
84#2541C2211yescharacteristic
85#2491C2211yescharacteristic, complemented
86#2486C2211yescharacteristic
87#2472—21no—
88#2464—21no—
89#2460—21no—
90#2459—21no—
91#2456—21no—
92#2451C2211yescharacteristic, complemented
93#2448C2211yescharacteristic, complemented
94#2436C2211yescharacteristic
95#2431C2211yescharacteristic
96#2428—21no—
97#2428C2211yescharacteristic
98#2427—21no—
99#2426C2211yescharacteristic
100#2426C2211yescharacteristic, complemented
101#2424—21no—
102#2416C2211yescharacteristic, complemented
103#2409C2211yescharacteristic, complemented
104#2408C2211yescharacteristic
105#2407C2211yescharacteristic
106#2407C2211yescharacteristic
107#2392C2211yescharacteristic
108#2367C2211yescharacteristic
109#2360C2211yescharacteristic, complemented
110Q8×C22⋊C4C2211yescharacteristic, complemented
111#2323C2211yescharacteristic
112#2323C2211yescharacteristic
113#2311C2211yescharacteristic
114#2067C2211yescharacteristic, complemented
115#2066C2211yescharacteristic, complemented
116#2066C2211yescharacteristic, complemented
117#2065C2211yescharacteristic, complemented
118#2056C2211yescharacteristic, complemented
119#2055C2211yescharacteristic
120#2055C2211yescharacteristic, complemented
121#2054C2211yescharacteristic
122#2042C2211yescharacteristic
123#2042C2211yescharacteristic
124#2042C2211yescharacteristic
125#2041C2211yescharacteristic
126#2036C2211yescharacteristic, complemented
127#2034C2211yescharacteristic
128#2034C2211yescharacteristic
129#2034C2211yescharacteristic, complemented
130#2023C2211yescharacteristic
131#2023C2211yescharacteristic
132#2015C2211yescharacteristic
133#2015C2211yescharacteristic
134#2015C2211yescharacteristic
135#2015C2211yescharacteristic, complemented
136#2015C2211yescharacteristic, complemented
137#2014C2211yescharacteristic
138#2014C2211yescharacteristic
139#2014C2211yescharacteristic
140#2012C2211yescharacteristic
141#2012C2211yescharacteristic
142#2012C2211yescharacteristic, complemented
143#2012C2211yescharacteristic, complemented
144#2011C2211yescharacteristic
145#2011C2211yescharacteristic
146#2000C2211yescharacteristic
147#2000C2211yescharacteristic
148#2000C2211yescharacteristic
149#2000C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#1999C2211yescharacteristic
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1983C2211yescharacteristic
155#1982C2211yescharacteristic
156#1973C2211yescharacteristic
157#1972C2211yescharacteristic
158#1934C2211yescharacteristic, complemented
159#1933C2211yescharacteristic, complemented
160#1927C2211yescharacteristic, complemented
161#1927C2211yescharacteristic, complemented
162#1927C2211yescharacteristic, complemented
163#1926C2211yescharacteristic, complemented
164#1924C2211yescharacteristic, complemented
165#1923C2211yescharacteristic, complemented
166#1919C2211yescharacteristic, complemented
167#1919C2211yescharacteristic, complemented
168#1917C2211yescharacteristic, complemented
169#1916C2211yescharacteristic, complemented
170#1895C2211yescharacteristic, complemented
171#1894C2211yescharacteristic, complemented
172#1892C2211yescharacteristic
173#1892C2211yescharacteristic
174#1880C2211yescharacteristic
175#1880C2211yescharacteristic
176#1880C2211yescharacteristic, complemented
177#1880C2211yescharacteristic, complemented
178#1880C2211yescharacteristic, complemented
179#1878C2211yescharacteristic, complemented
180#1878C2211yescharacteristic, complemented
181#1878C2211yescharacteristic, complemented
182#1878C2211yescharacteristic, complemented
183#1878C2211yescharacteristic, complemented
184#1874C2211yescharacteristic
185#1874C2211yescharacteristic
186#1870C2211yescharacteristic, complemented
187#1869C2211yescharacteristic
188#1869C2211yescharacteristic
189#1869C2211yescharacteristic, complemented
190#1864C2211yescharacteristic
191#1864C2211yescharacteristic
192#1863C2211yescharacteristic, complemented
193#1863C2211yescharacteristic, complemented
194#1851C2211yescharacteristic, complemented
195#1850C2211yescharacteristic, complemented
196#1824C2211yescharacteristic
197#1809C2211yescharacteristic
198#1798C2211yescharacteristic
199#1788C2211yescharacteristic
200#1788C2211yescharacteristic
201#1788C2211yescharacteristic
202#1788C2211yescharacteristic
203#1786C2211yescharacteristic
204#1729C2211yescharacteristic
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C23×Q8C2311yescharacteristic
209C23×Q8C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C2×#137—24no—
212C2×#137—42no—
213C2×#137—42no—
214C2×AGL(1,ℤ/8)—24no—
215C2×AGL(1,ℤ/8)—42no—
216C2×AGL(1,ℤ/8)—42no—
217C2×#135—42no—
218C2×#135—42no—
219C2×#135—42no—
220C22×Q16C2311yescharacteristic
221C22×Q16C2311yescharacteristic
222C22×Q16C2311yescharacteristic
223C22×Q16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C22×SD16C2311yescharacteristic
229C22×SD16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×SD16C2311yescharacteristic
232C22×D8C2311yescharacteristic
233C22×D8C2311yescharacteristic
234C22×D8C2311yescharacteristic
235C22×M16C2311yescharacteristic
236C22×M16C2311yescharacteristic
237C23×C8C2311yescharacteristic
238C23×C8C2311yescharacteristic
239#554—24no—
240#554—42no—
241#548—24no—
242#548—24no—
243#548—42no—
244#548—42no—
245#548—42no—
246#548—42no—
247#546—24no—
248#546—42no—
249#535—42no—
250#535—42no—
251C2×C4⋊Q8C2311yescharacteristic
252C2×#127—21no—
253C2×#127C2311yescharacteristic
254C2×#127C2311yescharacteristic
255C2×#125—21no—
256C2×#124—21no—
257C2×#124—21no—
258C2×#124—21no—
259C2×#124—21no—
260C2×#124C2311yescharacteristic
261C2×#124C2311yescharacteristic
262C2×#124C2311yescharacteristic
263C2×#124C2311yescharacteristic
264C2×#124C2311yescharacteristic
265C2×#123—21no—
266C2×#123—21no—
267C2×C22⋊Q8—21no—
268C2×C22⋊Q8—21no—
269C2×C22⋊Q8—21no—
270C2×C22⋊Q8—21no—
271C2×C22⋊Q8—21no—
272C2×C22⋊Q8C2311yescharacteristic
273C2×C22⋊Q8C2311yescharacteristic
274C2×C22⋊Q8C2311yescharacteristic
275C2×C22⋊Q8C2311yescharacteristic
276C2×C22⋊Q8C2311yescharacteristic
277C2×#121—21no—
278C2×#121—21no—
279C2×#121—21no—
280C2×#121—21no—
281C2×#121—21no—
282C2×#121—21no—
283C2×#121—21no—
284C2×#121—21no—
285C2×#121C2311yescharacteristic
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#120—21no—
293C2×#120—21no—
294C2×#120—21no—
295C2×#120—21no—
296C2×C4×Q8C2311yescharacteristic
297C2×C4×Q8C2311yescharacteristic
298C2×C4×Q8C2311yescharacteristic
299C2×C4×Q8C2311yescharacteristic
300C2×C4×Q8C2311yescharacteristic
301C2×C4×D4—21no—
302C2×C4×D4—21no—
303C2×C4×D4—21no—
304C2×C4×D4—21no—
305C2×C4×D4C2311yescharacteristic
306C2×C4×D4C2311yescharacteristic
307C2×C4×D4C2311yescharacteristic
308C2×C4×D4C2311yescharacteristic
309C2×#117C2311yescharacteristic
310C22×C4⋊C4C2311yescharacteristic
311C22×C4⋊C4C2311yescharacteristic
312C22×C22⋊C4—21no—
313#495—24no—
314#489—24no—
315#483—24no—
316#481—24no—
317#475—24no—
318#470D418yescomplemented
319#469—24no—
320#466—42no—
321#465—24no—
322#465—42no—
323#464—24no—
324#464—24no—
325#464—42no—
326#463—24no—
327#460—42no—
328#452—24no—
329#452—24no—
330#451—24no—
331#451—42no—
332#451—42no—
333#450—24no—
334#449—24no—
335#448—24no—
336#448—42no—
337#448—42no—
338#441—24no—
339C4×SD16—24no—
340#436—24no—
341#435—24no—
342C2×#107C2311yescharacteristic
343C2×#106C2311yescharacteristic
344C2×#106C2311yescharacteristic
345C2×#106C2311yescharacteristic
346C2×#106C2311yescharacteristic
347C2×C4⋊C8C2311yescharacteristic
348C2×C4⋊C8C2311yescharacteristic
349C2×C4⋊C8C2311yescharacteristic
350C2×C4⋊C8C2311yescharacteristic
351#417—24no—
352C2×#103—24no—
353C2×#103C2311yescharacteristic
354C2×#103C2311yescharacteristic
355C2×#103C2311yescharacteristic
356C2×#103C2311yescharacteristic
357C2×#103C2311yescharacteristic
358C2×#103C2311yescharacteristic
359C2×#103C2311yescharacteristic
360C2×#103C2311yescharacteristic
361C2×#103C2311yescharacteristic
362C2×#103C2311yescharacteristic
363C2×#103C2311yescharacteristic
364C2×#103C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#102—42no—
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×#102C2311yescharacteristic
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×#97C2311yescharacteristic
397C2×C4×C8C2311yescharacteristic
398#399—21no—
399#398—21no—
400#398—21no—
401#398D411yescharacteristic
402#397—21no—
403#397—21no—
404#397D411yescharacteristic
405#396—21no—
406#396—21no—
407#396—21no—
408#396D411yescharacteristic
409#396D411yescharacteristic
410#395—21no—
411#395—21no—
412#394—21no—
413#394—21no—
414#394—21no—
415#394—21no—
416#394—21no—
417#394—21no—
418#394—21no—
419#394—21no—
420#394—21no—
421#394—21no—
422#394D411yescharacteristic
423#394D411yescharacteristic
424#394D411yescharacteristic
425#393—21no—
426#393—21no—
427#393—21no—
428#393—21no—
429#392—21no—
430#392—21no—
431#392—21no—
432#392—21no—
433#392—21no—
434#392—21no—
435#392—21no—
436#392—21no—
437#392D411yescharacteristic
438#391—21no—
439#391—21no—
440#391—21no—
441#391C2311yescharacteristic
442#391C2311yescharacteristic
443#391C2311yescharacteristic
444#391C2311yescharacteristic
445#391C2311yescharacteristic
446#391C2311yescharacteristic
447#390—21no—
448#390—21no—
449#390—21no—
450#390—21no—
451#390—21no—
452#390C2311yescharacteristic
453#390C2311yescharacteristic
454#390C2311yescharacteristic
455#390C2311yescharacteristic
456#390C2311yescharacteristic
457#390C2311yescharacteristic
458#389—21no—
459#389—21no—
460#389—21no—
461#389C2311yescharacteristic
462#389C2311yescharacteristic
463#389C2311yescharacteristic
464#389C2311yescharacteristic
465#388—21no—
466#388—21no—
467#388—21no—
468#388—21no—
469#388—21no—
470#388—21no—
471#388—21no—
472#388—21no—
473#388—21no—
474#388—21no—
475#388—21no—
476#387—21no—
477#387—21no—
478#387—21no—
479#387—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#386—21no—
489#386—21no—
490#386—21no—
491#385—21no—
492#385—21no—
493#385—21no—
494#385—21no—
495#385—21no—
496#381—21no—
497#380—21no—
498#380—21no—
499#380—21no—
500#380C2311yescharacteristic
501#380C2311yescharacteristic
502#380C2311yescharacteristic
503#380C2311yescharacteristic
504#379—21no—
505C4×C4⋊C4C2311yescharacteristic
506C4×C4⋊C4C2311yescharacteristic
507C4×C4⋊C4C2311yescharacteristic
508C4×C22⋊C4—21no—
509C4×C22⋊C4—21no—
510C4×C22⋊C4—21no—
511C4×C22⋊C4C2311yescharacteristic
512C4×C22⋊C4C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#336C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527#336C2311yescharacteristic
528#336C2311yescharacteristic
529#336C2311yescharacteristic
530#336C2311yescharacteristic
531#336C2311yescharacteristic
532#336C2311yescharacteristic
533C25—21no—
534C2×#41—22no—
535C2×#41—22no—
536C2×#41—22no—
537C2×#41—22no—
538C2×#41—22no—
539C2×#41—22no—
540C2×#41—22no—
541C2×#41—22no—
542C2×#41—41no—
543C2×#41—41no—
544C2×#41—41no—
545C2×#41—41no—
546C2×#41—41no—
547C2×#41—41no—
548C2×#41—41no—
549C2×#41—41no—
550C2×#41—41no—
551C2×#41—41no—
552C22×Q8—21no—
553C22×Q8—21no—
554C22×Q8—21no—
555C22×Q8—22no—
556C22×Q8—22no—
557C22×Q8—22no—
558C22×Q8—22no—
559C22×Q8—41no—
560C22×Q8—41no—
561C22×Q8—41no—
562C22×Q8—41no—
563C22×Q8—41no—
564C22×Q8—41no—
565C22×Q8—41no—
566C22×Q8—41no—
567C22×Q8C2411yescharacteristic
568C22×Q8C2411yescharacteristic
569C22×Q8C2411yescharacteristic
570C22×Q8C2411yescharacteristic
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—22no—
583C22×D4—21no—
584C22×D4—21no—
585C22×D4—21no—
586C22×D4—21no—
587C22×D4—21no—
588C22×D4—22no—
589C22×D4—41no—
590C22×D4—41no—
591C22×D4—41no—
592C22×D4C2×D411yescharacteristic
593C22×D4C2×D411yescharacteristic
594C22×D4C2×D411yescharacteristic
595C22×D4C2411yescharacteristic
596C22×D4C2411yescharacteristic
597C22×D4C2411yescharacteristic
598C22×D4C2411yescharacteristic
599C23×C4—21no—
600C23×C4—21no—
601C23×C4—21no—
602C23×C4—21no—
603C23×C4—21no—
604C23×C4—21no—
605C23×C4—21no—
606C23×C4—21no—
607C23×C4C2411yescharacteristic
608C23×C4C2411yescharacteristic
609C23×C4C2411yescharacteristic
610#137—416no—
611AGL(1,ℤ/8)—416no—
612#135—416no—
613C2×Q16—22no—
614C2×Q16—22no—
615C2×Q16—22no—
616C2×Q16—22no—
617C2×Q16—22no—
618C2×Q16—22no—
619C2×Q16—41no—
620C2×Q16—41no—
621C2×Q16—41no—
622C2×Q16—41no—
623C2×Q16—41no—
624C2×Q16C2×D414yes—
625C2×SD16—22no—
626C2×SD16—22no—
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—41no—
638C2×SD16—41no—
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×D8—22no—
650C2×D8—22no—
651C2×D8—22no—
652C2×D8—41no—
653C2×D8—41no—
654C2×D8—41no—
655C2×D8—41no—
656C2×D8—41no—
657C2×D8—41no—
658C2×M16—22no—
659C2×M16—41no—
660C2×M16—41no—
661C2×M16—41no—
662C2×M16—41no—
663C2×M16C2×D414yes—
664C22×C8—22no—
665C22×C8—22no—
666C22×C8—41no—
667C22×C8—41no—
668C22×C8—41no—
669C22×C8—41no—
670C22×C8C2411yescharacteristic
671C22×C8C2411yescharacteristic
672C22×C8C2411yescharacteristic
673C22×C8C2411yescharacteristic
674C22×C8C2411yescharacteristic
675C22×C8C2411yescharacteristic
676C22×C8C2411yescharacteristic
677C22×C8C2411yescharacteristic
678C4⋊Q8—22no—
679C4⋊Q8—41no—
680#127—22no—
681#127—41no—
682#127—41no—
683#127—41no—
684#127—82no—
685#125—44no—
686#124—22no—
687#124—22no—
688#124—22no—
689#124—22no—
690#124—22no—
691#124—22no—
692#124—41no—
693#124—41no—
694#124—41no—
695#124—41no—
696#124—44no—
697#124—44no—
698#124—44no—
699#124—82no—
700#123—44no—
701#123—82no—
702C22⋊Q8—22no—
703C22⋊Q8—22no—
704C22⋊Q8—22no—
705C22⋊Q8—22no—
706C22⋊Q8—22no—
707C22⋊Q8—44no—
708C22⋊Q8—44no—
709C22⋊Q8—44no—
710C22⋊Q8—44no—
711C22⋊Q8—44no—
712C22⋊Q8—41no—
713C22⋊Q8—41no—
714C22⋊Q8—41no—
715C22⋊Q8C2×D414yes—
716C22⋊Q8C2×D414yes—
717#121—22no—
718#121—22no—
719#121—22no—
720#121—22no—
721#121—44no—
722#121—44no—
723#121—44no—
724#121—44no—
725#121—44no—
726#121—44no—
727#121—41no—
728#121—41no—
729#121—41no—
730#121—41no—
731#121—41no—
732#121—41no—
733#121—41no—
734#121—41no—
735#121—41no—
736#121—41no—
737#121—82no—
738#121—82no—
739#120—44no—
740#120—44no—
741#120—44no—
742#120—82no—
743C4×Q8—22no—
744C4×Q8—22no—
745C4×Q8—22no—
746C4×Q8—41no—
747C4×Q8—41no—
748C4×Q8—41no—
749C4×Q8—41no—
750C4×Q8—41no—
751C4×Q8—41no—
752C4×Q8—41no—
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—44no—
762C4×D4—44no—
763C4×D4—44no—
764C4×D4—44no—
765#117—41no—
766#117—41no—
767C2×C4⋊C4—21no—
768C2×C4⋊C4—21no—
769C2×C4⋊C4—22no—
770C2×C4⋊C4—22no—
771C2×C4⋊C4—22no—
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⋊C4—21no—
783C2×C4⋊C4—21no—
784C2×C4⋊C4—21no—
785C2×C4⋊C4—21no—
786C2×C4⋊C4—21no—
787C2×C4⋊C4—41no—
788C2×C4⋊C4C2×D411yescharacteristic
789C2×C4⋊C4C2×D411yescharacteristic
790C2×C4⋊C4C2×D411yescharacteristic
791C2×C4⋊C4C2×D411yescharacteristic
792C2×C4⋊C4C2×D411yescharacteristic
793C2×C4⋊C4C2×D411yescharacteristic
794C2×C4⋊C4C2×D411yescharacteristic
795C2×C4⋊C4C2411yescharacteristic
796C2×C4⋊C4C2411yescharacteristic
797C2×C4⋊C4C2411yescharacteristic
798C2×C4⋊C4C2411yescharacteristic
799C2×C4⋊C4C2411yescharacteristic
800C2×C4⋊C4C2411yescharacteristic
801C2×C4⋊C4C2411yescharacteristic
802C2×C4⋊C4C2411yescharacteristic
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—21no—
839C2×C22⋊C4—21no—
840C2×C22⋊C4—21no—
841C2×C22⋊C4—21no—
842C2×C22⋊C4—44no—
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×C22⋊C4C2×D411yescharacteristic
852C2×C22⋊C4C2×D411yescharacteristic
853C2×C22⋊C4C2×D411yescharacteristic
854C2×C22⋊C4C2×D411yescharacteristic
855C2×C42—21no—
856C2×C42—21no—
857C2×C42—21no—
858C2×C42—21no—
859C2×C42—21no—
860C2×C42—21no—
861C2×C42—21no—
862C2×C42C2411yescharacteristic
863C2×C42C2411yescharacteristic
864C2×C42C2411yescharacteristic
865C2×C42C2411yescharacteristic
866#107—41no—
867#106—22no—
868#106—22no—
869#106—41no—
870#106C2×D414yes—
871C4⋊C8—22no—
872C4⋊C8—22no—
873C4⋊C8—41no—
874C4⋊C8—41no—
875#103—22no—
876#103—22no—
877#103—22no—
878#103—22no—
879#103—22no—
880#103—22no—
881#103—22no—
882#103—22no—
883#103—41no—
884#103—41no—
885#103—41no—
886#103—41no—
887#103—41no—
888#103—41no—
889#103C2×D414yes—
890#103C2×D414yes—
891#102—22no—
892#102—22no—
893#102—22no—
894#102—22no—
895#102—22no—
896#102—22no—
897#102—22no—
898#102—41no—
899#102—41no—
900#102—41no—
901#102—41no—
902#102—41no—
903#102—41no—
904#102—41no—
905#102—41no—
906#102—41no—
907#102—41no—
908#102—41no—
909C22⋊C8—22no—
910C22⋊C8—22no—
911C22⋊C8—22no—
912C22⋊C8—22no—
913C22⋊C8—41no—
914C22⋊C8—41no—
915C22⋊C8—41no—
916C22⋊C8—41no—
917#97—22no—
918C4×C8—22no—
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#95C2×D411yescharacteristic
942#95C2×D411yescharacteristic
943#95C2×D411yescharacteristic
944#95C2×D411yescharacteristic
945#95C2×D411yescharacteristic
946#95C2×D411yescharacteristic
947C24—21no—
948C24—21no—
949C24—21no—
950C24—21no—
951C24—42no—
952C24—42no—
953C24—81no—
954C24—81no—
955C24—81no—
956C24—81no—
957C24—81no—
958C24C22×D411yescharacteristic
959C24C22×D411yescharacteristic
960C24C22×D411yescharacteristic
961#41—44no—
962#41—44no—
963#41—44no—
964#41—44no—
965#41—44no—
966#41—82no—
967#41—82no—
968#41—82no—
969#41—82no—
970#41—82no—
971#41—82no—
972#41—82no—
973C2×Q8—21no—
974C2×Q8—21no—
975C2×Q8—21no—
976C2×Q8—21no—
977C2×Q8—21no—
978C2×Q8—21no—
979C2×Q8—21no—
980C2×Q8—21no—
981C2×Q8—21no—
982C2×Q8—21no—
983C2×Q8—21no—
984C2×Q8—21no—
985C2×Q8—21no—
986C2×Q8—21no—
987C2×Q8—21no—
988C2×Q8—21no—
989C2×Q8—21no—
990C2×Q8—21no—
991C2×Q8—21no—
992C2×Q8—21no—
993C2×Q8—42no—
994C2×Q8—42no—
995C2×Q8—42no—
996C2×Q8—42no—
997C2×Q8—42no—
998C2×Q8—44no—
999C2×Q8—44no—
1000C2×Q8—81no—
1001C2×Q8—81no—
1002C2×Q8—81no—
1003C2×Q8—81no—
1004C2×Q8—82no—
1005C2×Q8—82no—
1006C2×Q8—82no—
1007C2×Q8—82no—
1008C2×Q8—82no—
1009C2×Q8—82no—
1010C2×Q8C22×D412yes—
1011C2×Q8C22×D412yes—
1012C2×Q8H(5,𝔽2)12yes—
1013C2×Q8H(5,𝔽2)12yes—
1014C2×D4—22no—
1015C2×D4—22no—
1016C2×D4—22no—
1017C2×D4—22no—
1018C2×D4—21no—
1019C2×D4—21no—
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—44no—
1042C2×D4—44no—
1043C2×D4—41no—
1044C2×D4—41no—
1045C2×D4—41no—
1046C2×D4—41no—
1047C2×D4—41no—
1048C2×D4—42no—
1049C2×D4—42no—
1050C2×D4—42no—
1051C2×D4—42no—
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—42no—
1066C2×D4—42no—
1067C2×D4—42no—
1068C2×D4—42no—
1069C2×D4—82no—
1070C2×D4—82no—
1071C2×D4—81no—
1072C2×D4—81no—
1073C2×D4—81no—
1074C2×D4—81no—
1075C2×D4—81no—
1076C2×D4—81no—
1077C2×D4—81no—
1078C2×D4—81no—
1079C2×D4—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—81no—
1094C2×D4—81no—
1095C2×D4H(5,𝔽2)12yes—
1096C22×C4—21no—
1097C22×C4—21no—
1098C22×C4—21no—
1099C22×C4—21no—
1100C22×C4—21no—
1101C22×C4—21no—
1102C22×C4—21no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—21no—
1106C22×C4—21no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—21no—
1117C22×C4—21no—
1118C22×C4—21no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—42no—
1125C22×C4—42no—
1126C22×C4—42no—
1127C22×C4—42no—
1128C22×C4—42no—
1129C22×C4—42no—
1130C22×C4—42no—
1131C22×C4—42no—
1132C22×C4—42no—
1133C22×C4—42no—
1134C22×C4—42no—
1135C22×C4—42no—
1136C22×C4—42no—
1137C22×C4—81no—
1138C22×C4—81no—
1139C22×C4—81no—
1140C22×C4—81no—
1141C22×C4—81no—
1142C22×C4—81no—
1143C22×C4—81no—
1144C22×C4—81no—
1145C22×C4—81no—
1146C22×C4—81no—
1147C22×C4—81no—
1148C22×C4C22×D411yescharacteristic
1149C22×C4C22×D411yescharacteristic
1150C22×C4C22×D411yescharacteristic
1151C22×C4C22×D411yescharacteristic
1152C22×C4C22×D411yescharacteristic
1153C22×C4C22×D411yescharacteristic
1154C22×C4C22×D411yescharacteristic
1155C22×C4C22×D411yescharacteristic
1156C22×C4C22×D411yescharacteristic
1157C22×C4C22×D411yescharacteristic
1158C22×C4C22×D411yescharacteristic
1159C22×C4C22×D412yes—
1160C22×C4H(5,𝔽2)12yes—
1161C22×C4C2511yescharacteristic
1162Q16—44no—
1163Q16—44no—
1164Q16—44no—
1165Q16—44no—
1166SD16—28no—
1167SD16—44no—
1168SD16—44no—
1169SD16—44no—
1170SD16—44no—
1171SD16—82no—
1172SD16—82no—
1173SD16—82no—
1174D8—44no—
1175D8—44no—
1176D8—44no—
1177M16—44no—
1178M16—44no—
1179C2×C8—21no—
1180C2×C8—21no—
1181C2×C8—21no—
1182C2×C8—21no—
1183C2×C8—21no—
1184C2×C8—21no—
1185C2×C8—21no—
1186C2×C8—21no—
1187C2×C8—21no—
1188C2×C8—21no—
1189C2×C8—21no—
1190C2×C8—21no—
1191C2×C8—21no—
1192C2×C8—21no—
1193C2×C8—21no—
1194C2×C8—21no—
1195C2×C8—21no—
1196C2×C8—21no—
1197C2×C8—21no—
1198C2×C8—21no—
1199C2×C8—21no—
1200C2×C8—21no—
1201C2×C8—44no—
1202C2×C8—82no—
1203C2×C8C22×D412yes—
1204C2×C8C22×D412yes—
1205C4⋊C4—24no—
1206C4⋊C4—24no—
1207C4⋊C4—22no—
1208C4⋊C4—22no—
1209C4⋊C4—21no—
1210C4⋊C4—21no—
1211C4⋊C4—21no—
1212C4⋊C4—21no—
1213C4⋊C4—21no—
1214C4⋊C4—21no—
1215C4⋊C4—21no—
1216C4⋊C4—21no—
1217C4⋊C4—21no—
1218C4⋊C4—21no—
1219C4⋊C4—21no—
1220C4⋊C4—21no—
1221C4⋊C4—21no—
1222C4⋊C4—21no—
1223C4⋊C4—41no—
1224C4⋊C4—41no—
1225C4⋊C4—41no—
1226C4⋊C4—41no—
1227C4⋊C4—41no—
1228C4⋊C4—42no—
1229C4⋊C4—42no—
1230C4⋊C4—42no—
1231C4⋊C4—42no—
1232C4⋊C4—42no—
1233C4⋊C4—42no—
1234C4⋊C4—42no—
1235C4⋊C4—42no—
1236C4⋊C4—42no—
1237C4⋊C4—42no—
1238C4⋊C4—81no—
1239C4⋊C4—81no—
1240C4⋊C4—81no—
1241C4⋊C4—81no—
1242C4⋊C4—81no—
1243C4⋊C4C22×D412yes—
1244C4⋊C4C22×D412yes—
1245C22⋊C4—24no—
1246C22⋊C4—24no—
1247C22⋊C4—24no—
1248C22⋊C4—24no—
1249C22⋊C4—22no—
1250C22⋊C4—22no—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—41no—
1255C22⋊C4—41no—
1256C22⋊C4—41no—
1257C22⋊C4—41no—
1258C22⋊C4—41no—
1259C22⋊C4—41no—
1260C22⋊C4—41no—
1261C22⋊C4—42no—
1262C22⋊C4—42no—
1263C22⋊C4—42no—
1264C22⋊C4—42no—
1265C22⋊C4—42no—
1266C22⋊C4—42no—
1267C22⋊C4—42no—
1268C22⋊C4—42no—
1269C22⋊C4—42no—
1270C22⋊C4—42no—
1271C22⋊C4—42no—
1272C22⋊C4—42no—
1273C22⋊C4—42no—
1274C22⋊C4—42no—
1275C22⋊C4—42no—
1276C22⋊C4—42no—
1277C22⋊C4—42no—
1278C22⋊C4—42no—
1279C22⋊C4—42no—
1280C22⋊C4—81no—
1281C22⋊C4—81no—
1282C22⋊C4—81no—
1283C22⋊C4—81no—
1284C22⋊C4—81no—
1285C22⋊C4—81no—
1286C22⋊C4—81no—
1287C22⋊C4—81no—
1288C22⋊C4—81no—
1289C22⋊C4—81no—
1290C22⋊C4—81no—
1291C22⋊C4—81no—
1292C22⋊C4—81no—
1293C22⋊C4—81no—
1294C22⋊C4—81no—
1295C22⋊C4—81no—
1296C42—21no—
1297C42—21no—
1298C42—21no—
1299C42—21no—
1300C42—21no—
1301C42—21no—
1302C42—21no—
1303C42—21no—
1304C42—42no—
1305C42—42no—
1306C42—42no—
1307C42—42no—
1308C42—81no—
1309C42—81no—
1310C42—81no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—22no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—41no—
1332C23—41no—
1333C23—41no—
1334C23—41no—
1335C23—41no—
1336C23—41no—
1337C23—41no—
1338C23—41no—
1339C23—41no—
1340C23—41no—
1341C23—41no—
1342C23—41no—
1343C23—41no—
1344C23—41no—
1345C23—41no—
1346C23—41no—
1347C23—41no—
1348C23—41no—
1349C23—41no—
1350C23—41no—
1351C23—41no—
1352C23—41no—
1353C23—41no—
1354C23—41no—
1355C23—41no—
1356C23—41no—
1357C23—41no—
1358C23—84no—
1359C23—84no—
1360C23—162no—
1361C23—162no—
1362C23—162no—
1363C23—162no—
1364C23—162no—
1365C23D4212yes—
1366C23#57712yes—
1367C23C23×D411yescharacteristic
1368Q8—22no—
1369Q8—22no—
1370Q8—22no—
1371Q8—22no—
1372Q8—22no—
1373Q8—22no—
1374Q8—22no—
1375Q8—22no—
1376Q8—41no—
1377Q8—41no—
1378Q8—41no—
1379Q8—41no—
1380Q8—41no—
1381Q8—41no—
1382Q8—41no—
1383Q8—41no—
1384Q8—84no—
1385Q8—84no—
1386Q8—162no—
1387D4—22no—
1388D4—22no—
1389D4—44no—
1390D4—41no—
1391D4—41no—
1392D4—41no—
1393D4—41no—
1394D4—41no—
1395D4—41no—
1396D4—41no—
1397D4—41no—
1398D4—41no—
1399D4—41no—
1400D4—41no—
1401D4—41no—
1402D4—41no—
1403D4—41no—
1404D4—84no—
1405D4—82no—
1406D4—82no—
1407D4—84no—
1408D4—84no—
1409D4—84no—
1410D4—84no—
1411D4—84no—
1412D4—84no—
1413D4—162no—
1414D4—162no—
1415D4—162no—
1416D4—162no—
1417D4—162no—
1418D4—162no—
1419D4—162no—
1420D4—162no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—41no—
1466C2×C4—41no—
1467C2×C4—41no—
1468C2×C4—41no—
1469C2×C4—41no—
1470C2×C4—41no—
1471C2×C4—41no—
1472C2×C4—41no—
1473C2×C4—41no—
1474C2×C4—41no—
1475C2×C4—41no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—41no—
1479C2×C4—41no—
1480C2×C4—41no—
1481C2×C4—41no—
1482C2×C4—41no—
1483C2×C4—41no—
1484C2×C4—41no—
1485C2×C4—41no—
1486C2×C4—41no—
1487C2×C4—41no—
1488C2×C4—41no—
1489C2×C4—41no—
1490C2×C4—41no—
1491C2×C4—41no—
1492C2×C4—41no—
1493C2×C4—41no—
1494C2×C4—41no—
1495C2×C4—41no—
1496C2×C4—41no—
1497C2×C4—41no—
1498C2×C4—41no—
1499C2×C4—41no—
1500C2×C4—41no—
1501C2×C4—84no—
1502C2×C4—84no—
1503C2×C4—84no—
1504C2×C4—84no—
1505C2×C4—84no—
1506C2×C4—162no—
1507C2×C4—162no—
1508C2×C4—162no—
1509C2×C4D4212yes—
1510C2×C4C23×D411yescharacteristic
1511C2×C4C2×H(5,𝔽2)11yescharacteristic
1512C2×C4C2×H(5,𝔽2)11yescharacteristic
1513C2×C4C2×H(5,𝔽2)11yescharacteristic
1514C2×C4C2×H(5,𝔽2)11yescharacteristic
1515C2×C4#58511yescharacteristic
1516C8—22no—
1517C8—22no—
1518C8—41no—
1519C8—41no—
1520C8—41no—
1521C8—41no—
1522C8—41no—
1523C8—41no—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—42no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—42no—
1545C22—41no—
1546C22—42no—
1547C22—41no—
1548C22—81no—
1549C22—81no—
1550C22—81no—
1551C22—81no—
1552C22—81no—
1553C22—81no—
1554C22—81no—
1555C22—81no—
1556C22—81no—
1557C22—81no—
1558C22—81no—
1559C22—81no—
1560C22—81no—
1561C22—81no—
1562C22—81no—
1563C22—81no—
1564C22—81no—
1565C22—81no—
1566C22—81no—
1567C22—81no—
1568C22—81no—
1569C22—81no—
1570C22—81no—
1571C22—81no—
1572C22—81no—
1573C22—168no—
1574C22C2×D4211yescharacteristic
1575C22#348411yescharacteristic
1576C22#348811yescharacteristic
1577C22C2×#57711yescharacteristic
1578C22#358411yescharacteristic
1579C22#358511yescharacteristic
1580C22#358611yescharacteristic
1581C4—22no—
1582C4—41no—
1583C4—41no—
1584C4—42no—
1585C4—42no—
1586C4—42no—
1587C4—42no—
1588C4—41no—
1589C4—41no—
1590C4—42no—
1591C4—41no—
1592C4—41no—
1593C4—42no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—81no—
1599C4—81no—
1600C4—81no—
1601C4—81no—
1602C4—81no—
1603C4—81no—
1604C4#348411yescharacteristic
1605C4#348811yescharacteristic
1606C4#353211yescharacteristic
1607C4#353411yescharacteristic
1608C2—42no—
1609C2—42no—
1610C2—81no—
1611C2—82no—
1612C2—161no—
1613C2—161no—
1614C2—161no—
1615C2#4309811yescharacteristic
1616C2#6107511yescharacteristic
1617C2#6107711yescharacteristic
1618C2#6162311yescharacteristic
1619C2#6169111yescharacteristic
1620C2#6206611yescharacteristic
1621C2#6207811yescharacteristic
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×#3316C2semidirect
2. C2×#3275C2semidirect
3. #45417C2semidirect
4. #45263C2semidirect
5. #30925C2semidirect
6. #30905C2semidirect
7. #30851C2semidirect
8. #30746C2semidirect
9. #30719C2semidirect
10. #30544C2semidirect
11. #30506C2semidirect
12. #30457C2semidirect
13. #28133C2semidirect
14. #28113C2semidirect
15. #26898C2semidirect
16. #26629C2semidirect
17. #26615C2semidirect
18. #25169C2semidirect
19. #25086C2semidirect
20. #24439C2semidirect
21. #24368C2semidirect
22. #24275C2semidirect
23. #24220C2semidirect
24. #24038C2semidirect
25. #23969C2semidirect
26. #23867C2semidirect
27. #23854C2semidirect
28. #23854C2semidirect
29. #23426C2semidirect
30. #22203C2semidirect
31. #22175C2semidirect
44. C2×#489C22semidirect
45. C2×#481C22semidirect
47. C2×#475C22semidirect
52. C2×#465C22semidirect
55. C2×#464C22semidirect
61. C2×#451C22semidirect
62. C2×#451C22semidirect
63. C2×#451C22semidirect
65. C2×#448C22semidirect
66. C2×#448C22semidirect
68. C2×#441C22semidirect
73. C22×#103C22semidirect
85. #2491C22semidirect
92. #2451C22semidirect
93. #2448C22semidirect
100. #2426C22semidirect
102. #2416C22semidirect
103. #2409C22semidirect
109. #2360C22semidirect
110. Q8×C22⋊C4C22semidirect
114. #2067C22semidirect
115. #2066C22semidirect
116. #2066C22semidirect
117. #2065C22semidirect
118. #2056C22semidirect
120. #2055C22semidirect
126. #2036C22semidirect
129. #2034C22semidirect
135. #2015C22semidirect
136. #2015C22semidirect
142. #2012C22semidirect
143. #2012C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
158. #1934C22semidirect
159. #1933C22semidirect
160. #1927C22semidirect
161. #1927C22semidirect
162. #1927C22semidirect
163. #1926C22semidirect
164. #1924C22semidirect
165. #1923C22semidirect
166. #1919C22semidirect
167. #1919C22semidirect
168. #1917C22semidirect
169. #1916C22semidirect
170. #1895C22semidirect
171. #1894C22semidirect
176. #1880C22semidirect
177. #1880C22semidirect
178. #1880C22semidirect
179. #1878C22semidirect
180. #1878C22semidirect
181. #1878C22semidirect
182. #1878C22semidirect
183. #1878C22semidirect
186. #1870C22semidirect
189. #1869C22semidirect
192. #1863C22semidirect
193. #1863C22semidirect
194. #1851C22semidirect
195. #1850C22semidirect
318. #470D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33162
C2×#32752
#454172
#452632
#309252
#309052
#308512
#307462
#307192
#305442
#305062
#304572
#281332
#281132
#268982
#266292
#266152
#251692
#250862
#244392
#243682
#242752
#242202
#240382
#239692
#238672
#238542
#234262
#222032
#221752