Finite Group Databasebeta

← #6668050

Subgroups — #6668050

Order 512.

3041 conjugacy classes of subgroups.

The subgroup lattice has 1829 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3198C211yesmaximal, characteristic, complemented
2C2×#3006C211yesmaximal, characteristic, complemented
3#37650C211yesmaximal, characteristic, complemented
4#35251C211yesmaximal, characteristic, complemented
5#32880C211yesmaximal, characteristic, complemented
6#31064C211yesmaximal, characteristic, complemented
7#31058C211yesmaximal, characteristic, complemented
8#31047C211yesmaximal, characteristic, complemented
9#31020C211yesmaximal, characteristic, complemented
10#30509C211yesmaximal, characteristic, complemented
11#30506C211yesmaximal, characteristic, complemented
12#30419C211yesmaximal, characteristic, complemented
13#30400C211yesmaximal, characteristic, complemented
14#29725C211yesmaximal, characteristic, complemented
15#29606C211yesmaximal, characteristic, complemented
16#28325C211yesmaximal, characteristic, complemented
17#28127C211yesmaximal, characteristic, complemented
18#25133C211yesmaximal, characteristic, complemented
19#25123C211yesmaximal, characteristic, complemented
20#24891C211yesmaximal, characteristic, complemented
21#24885C211yesmaximal, characteristic, complemented
22#24558C211yesmaximal, characteristic, complemented
23#24397C211yesmaximal, characteristic, complemented
24#24277C211yesmaximal, characteristic, complemented
25#24275C211yesmaximal, characteristic, complemented
26#24005C211yesmaximal, characteristic, complemented
27#23924C211yesmaximal, characteristic, complemented
28#23860C211yesmaximal, characteristic, complemented
29#23860C211yesmaximal, characteristic, complemented
30#22400C211yesmaximal, characteristic, complemented
31#22053C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic, complemented
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×AGL(1,ℤ/8)C2211yescharacteristic
35C2×D42C2211yescharacteristic, complemented
36C2×#537C2211yescharacteristic, complemented
37C2×#537C2211yescharacteristic, complemented
38C2×#535C2211yescharacteristic, complemented
39C2×#525C2211yescharacteristic
40C22×#121C2211yescharacteristic
41#3198—28no—
42C2×#481C2211yescharacteristic, complemented
43C2×#481C2211yescharacteristic, complemented
44C2×#485C2211yescharacteristic, complemented
45C2×#482C2211yescharacteristic, complemented
46C2×#480C2211yescharacteristic, complemented
47C2×#469C2211yescharacteristic, complemented
48C2×#469C2211yescharacteristic, complemented
49C2×#468C2211yescharacteristic, complemented
50C2×#466C2211yescharacteristic, complemented
51C2×#465C2211yescharacteristic, complemented
52C2×#465C2211yescharacteristic, complemented
53#3006—28no—
54C2×#449C2211yescharacteristic
55C2×#449C2211yescharacteristic
56C2×#449C2211yescharacteristic
57C2×#449C2211yescharacteristic
58C2×#449C2211yescharacteristic, complemented
59C2×#449C2211yescharacteristic, complemented
60C2×#449C2211yescharacteristic, complemented
61C2×#449C2211yescharacteristic, complemented
62C2×#448C2211yescharacteristic
63C2×#448C2211yescharacteristic, complemented
64C2×#448C2211yescharacteristic, complemented
65C2×#450C2211yescharacteristic, complemented
66C2×#450C2211yescharacteristic, complemented
67C2×#447C2211yescharacteristic
68C2×#447C2211yescharacteristic, complemented
69C2×#447C2211yescharacteristic, complemented
70C2×#447C2211yescharacteristic, complemented
71C2×#447C2211yescharacteristic, complemented
72C2×#436C2211yescharacteristic, complemented
73C2×#435C2211yescharacteristic, complemented
74C2×#417C2211yescharacteristic, complemented
75C2×#417C2211yescharacteristic, complemented
76C2×#408C2211yescharacteristic, complemented
77C2×#407C2211yescharacteristic, complemented
78#2848—21no—
79#2847—21no—
80#2847C2211yescharacteristic
81#2678—21no—
82#2676—21no—
83#2673—21no—
84#2669—21no—
85#2619C2211yescharacteristic, complemented
86#2616—21no—
87#2615—21no—
88#2615C2211yescharacteristic, complemented
89#2541C2211yescharacteristic
90#2535C2211yescharacteristic
91#2472—21no—
92#2433—21no—
93#2430—21no—
94#2430—21no—
95#2416C2211yescharacteristic, complemented
96#2414C2211yescharacteristic
97#2410—21no—
98#2410—21no—
99#2410—21no—
100#2409C2211yescharacteristic, complemented
101#2409C2211yescharacteristic, complemented
102#2408C2211yescharacteristic
103#2408C2211yescharacteristic, complemented
104#2408C2211yescharacteristic, complemented
105#2408C2211yescharacteristic, complemented
106#2407C2211yescharacteristic
107#2407C2211yescharacteristic
108#2407C2211yescharacteristic, complemented
109#2407C2211yescharacteristic, complemented
110#2403—21no—
111#2352C2211yescharacteristic, complemented
112#2324C2211yescharacteristic, complemented
113#2311C2211yescharacteristic, complemented
114#2311C2211yescharacteristic, complemented
115C2×#380C2211yescharacteristic, complemented
116#2097C2211yescharacteristic, complemented
117#2092C2211yescharacteristic, complemented
118#2076C2211yescharacteristic, complemented
119#2076C2211yescharacteristic, complemented
120#2074C2211yescharacteristic, complemented
121#2073C2211yescharacteristic, complemented
122#2066C2211yescharacteristic, complemented
123#2065C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2055C2211yescharacteristic, complemented
126#2055C2211yescharacteristic, complemented
127#2054C2211yescharacteristic, complemented
128#2054C2211yescharacteristic, complemented
129#2054C2211yescharacteristic, complemented
130#2035C2211yescharacteristic, complemented
131#2035C2211yescharacteristic, complemented
132#2035C2211yescharacteristic, complemented
133#2034C2211yescharacteristic
134#2034C2211yescharacteristic
135#2034C2211yescharacteristic, complemented
136#2034C2211yescharacteristic, complemented
137#2034C2211yescharacteristic, complemented
138#2034C2211yescharacteristic, complemented
139#2034C2211yescharacteristic, complemented
140#2034C2211yescharacteristic, complemented
141#2034C2211yescharacteristic, complemented
142#2014C2211yescharacteristic, complemented
143#2014C2211yescharacteristic, complemented
144#2011C2211yescharacteristic, complemented
145#2011C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#1999C2211yescharacteristic, complemented
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1973C2211yescharacteristic, complemented
157#1972C2211yescharacteristic, complemented
158#1972C2211yescharacteristic, complemented
159#1970C2211yescharacteristic, complemented
160#1968C2211yescharacteristic, complemented
161#1968C2211yescharacteristic, complemented
162#1955C2211yescharacteristic, complemented
163#1954C2211yescharacteristic, complemented
164#1935C2211yescharacteristic, complemented
165#1934C2211yescharacteristic, complemented
166#1927C2211yescharacteristic, complemented
167#1927C2211yescharacteristic, complemented
168#1926C2211yescharacteristic, complemented
169#1926C2211yescharacteristic, complemented
170#1895C2211yescharacteristic, complemented
171#1895C2211yescharacteristic, complemented
172#1894C2211yescharacteristic, complemented
173#1893C2211yescharacteristic, complemented
174#1879C2211yescharacteristic, complemented
175#1879C2211yescharacteristic, complemented
176#1877C2211yescharacteristic, complemented
177#1877C2211yescharacteristic, complemented
178#1875C2211yescharacteristic, complemented
179#1874C2211yescharacteristic, complemented
180#1874C2211yescharacteristic, complemented
181#1874C2211yescharacteristic, complemented
182#1873C2211yescharacteristic, complemented
183#1870C2211yescharacteristic, complemented
184#1870C2211yescharacteristic, complemented
185#1870C2211yescharacteristic, complemented
186#1869C2211yescharacteristic, complemented
187#1853C2211yescharacteristic, complemented
188#1853C2211yescharacteristic, complemented
189#1853C2211yescharacteristic, complemented
190#1823C2211yescharacteristic, complemented
191#1809C2211yescharacteristic, complemented
192#1809C2211yescharacteristic, complemented
193#1798C2211yescharacteristic, complemented
194#1788C2211yescharacteristic, complemented
195#1788C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1787C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1786C2211yescharacteristic, complemented
202#1780C2211yescharacteristic, complemented
203#1779C2211yescharacteristic, complemented
204#1750C2211yescharacteristic, complemented
205C22×#41—21no—
206C22×#41—21no—
207C22×#41—24no—
208C22×#41—42no—
209C22×#41—42no—
210C22×#41—42no—
211C22×#41—42no—
212C22×#41—42no—
213C22×#41C2311yescharacteristic
214C22×#41C2311yescharacteristic
215C22×#41C2311yescharacteristic
216C22×#41C2311yescharacteristic
217C22×#41C2311yescharacteristic
218C23×Q8C2311yescharacteristic
219C23×D4—21no—
220C23×D4—21no—
221C23×D4—21no—
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C24×C4—21no—
226C24×C4C2311yescharacteristic
227C2×AGL(1,ℤ/8)—24no—
228C2×AGL(1,ℤ/8)—24no—
229C2×AGL(1,ℤ/8)—42no—
230C2×AGL(1,ℤ/8)—42no—
231C2×AGL(1,ℤ/8)—42no—
232C2×AGL(1,ℤ/8)—42no—
233C22×SD16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×D8C2311yescharacteristic
240C22×D8C2311yescharacteristic
241C22×D8C2311yescharacteristic
242C22×D8C2311yescharacteristic
243C22×D8C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×M16C2311yescharacteristic
246C22×M16C2311yescharacteristic
247C22×M16C2311yescharacteristic
248C23×C8C2311yescharacteristic
249D42—42no—
250D42—42no—
251#537—24no—
252#537—42no—
253#537—42no—
254#537—42no—
255#535—24no—
256#535—42no—
257C2×#127—21no—
258C2×#127—21no—
259C2×#127C2311yescharacteristic
260C2×#124—21no—
261#525—42no—
262#525—42no—
263C2×#123D411yescharacteristic
264C2×#123D411yescharacteristic
265C2×C22⋊Q8—21no—
266C2×C22⋊Q8—21no—
267C2×C22⋊Q8D411yescharacteristic
268C2×C22⋊Q8D411yescharacteristic
269C2×C22⋊Q8C2311yescharacteristic
270C2×C22⋊Q8C2311yescharacteristic
271C2×C22⋊Q8C2311yescharacteristic
272C2×C22⋊Q8C2311yescharacteristic
273C2×#121—21no—
274C2×#121—21no—
275C2×#121—21no—
276C2×#121—21no—
277C2×#121—21no—
278C2×#121—21no—
279C2×#121—21no—
280C2×#121—21no—
281C2×#121—21no—
282C2×#121—21no—
283C2×#121—24no—
284C2×#121—42no—
285C2×#121D411yescharacteristic
286C2×#121D411yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#121C2311yescharacteristic
296C2×#121C2311yescharacteristic
297C2×#121C2311yescharacteristic
298C2×#121C2311yescharacteristic
299C2×#121C2311yescharacteristic
300C2×#121C2311yescharacteristic
301C2×#121C2311yescharacteristic
302C2×#120—21no—
303C2×#120—21no—
304C2×#120—21no—
305C2×#120—21no—
306C2×#120—21no—
307C2×#120—21no—
308C2×#120—21no—
309C2×#120—21no—
310C2×#120—21no—
311C2×#120D411yescharacteristic
312C2×#120D411yescharacteristic
313C2×C4×D4C2311yescharacteristic
314C2×C4×D4C2311yescharacteristic
315C2×C4×D4C2311yescharacteristic
316C2×C4×D4C2311yescharacteristic
317C2×C4×D4C2311yescharacteristic
318C2×#117C2311yescharacteristic
319C2×#117C2311yescharacteristic
320C22×C4⋊C4C2311yescharacteristic
321C22×C4⋊C4C2311yescharacteristic
322C22×C4⋊C4C2311yescharacteristic
323C22×C22⋊C4—21no—
324C22×C22⋊C4—21no—
325#485—24no—
326#482—24no—
327#481—24no—
328#481—42no—
329#480—24no—
330#469—24no—
331#469—42no—
332#468—24no—
333#466—24no—
334#465—24no—
335#465—42no—
336#450—24no—
337#450—42no—
338#449—24no—
339#449—24no—
340#449—24no—
341#449—24no—
342#449—42no—
343#449—42no—
344#449—42no—
345#449D418yescomplemented
346#448—24no—
347#448—24no—
348#448—42no—
349#447—24no—
350#447—24no—
351#447—24no—
352#447—42no—
353#447—42no—
354#436—42no—
355#435—42no—
356C2×#107C2311yescharacteristic
357C2×#107C2311yescharacteristic
358C2×#106C2311yescharacteristic
359C2×#106C2311yescharacteristic
360C2×#106C2311yescharacteristic
361C2×#106C2311yescharacteristic
362C2×#106C2311yescharacteristic
363C2×#106C2311yescharacteristic
364C2×C4⋊C8C2311yescharacteristic
365C2×C4⋊C8C2311yescharacteristic
366#417—24no—
367#417—24no—
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#103C2311yescharacteristic
372C2×#103C2311yescharacteristic
373C2×#103C2311yescharacteristic
374C2×#103C2311yescharacteristic
375C2×#103C2311yescharacteristic
376C2×#103C2311yescharacteristic
377C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
397C2×#102C2311yescharacteristic
398C2×#102C2311yescharacteristic
399C2×#102C2311yescharacteristic
400#408—24no—
401#407—24no—
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×C22⋊C8C2311yescharacteristic
405C2×C22⋊C8C2311yescharacteristic
406C2×C22⋊C8C2311yescharacteristic
407C2×C22⋊C8C2311yescharacteristic
408C2×C22⋊C8C2311yescharacteristic
409C2×C22⋊C8C2311yescharacteristic
410C2×C22⋊C8C2311yescharacteristic
411C2×C22⋊C8C2311yescharacteristic
412C2×C22⋊C8C2311yescharacteristic
413C2×C22⋊C8C2311yescharacteristic
414C2×C22⋊C8C2311yescharacteristic
415C2×C22⋊C8C2311yescharacteristic
416C2×C22⋊C8C2311yescharacteristic
417C2×C22⋊C8C2311yescharacteristic
418C2×#97C2311yescharacteristic
419C2×C4×C8C2311yescharacteristic
420#397—21no—
421#396—21no—
422#395—21no—
423#395—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#393—21no—
437#393—21no—
438#393—21no—
439#392—21no—
440#392—21no—
441#392—21no—
442#392—21no—
443#392—21no—
444#392—21no—
445#392—21no—
446#392—21no—
447#392—21no—
448#392—21no—
449#392—21no—
450#392—21no—
451#392—21no—
452#392—21no—
453#392—21no—
454#392—21no—
455#392—21no—
456#391C2311yescharacteristic
457#391C2311yescharacteristic
458#391C2311yescharacteristic
459#391C2311yescharacteristic
460#390—21no—
461#390—21no—
462#390—21no—
463#390C2311yescharacteristic
464#390C2311yescharacteristic
465#390C2311yescharacteristic
466#390C2311yescharacteristic
467#390C2311yescharacteristic
468#390C2311yescharacteristic
469#390C2311yescharacteristic
470#389C2311yescharacteristic
471#388—21no—
472#388—21no—
473#388—21no—
474#387—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#386—21no—
489#386—21no—
490#386—21no—
491#386—21no—
492#386—21no—
493#385—21no—
494#385—21no—
495#385—21no—
496#385—21no—
497#385—21no—
498#385—21no—
499#385—21no—
500#382C2311yescharacteristic
501#380—21no—
502#380—21no—
503#380—21no—
504#380—21no—
505#380—21no—
506#380—21no—
507#380C2311yescharacteristic
508#380C2311yescharacteristic
509#380C2311yescharacteristic
510#380C2311yescharacteristic
511#380C2311yescharacteristic
512#380C2311yescharacteristic
513#380C2311yescharacteristic
514#380C2311yescharacteristic
515#380C2311yescharacteristic
516#379—21no—
517#379—21no—
518#379—21no—
519#379—21no—
520C4×C4⋊C4C2311yescharacteristic
521C4×C22⋊C4—21no—
522C2×#95—21no—
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#340C2311yescharacteristic
531#340C2311yescharacteristic
532#340C2311yescharacteristic
533#340C2311yescharacteristic
534#340C2311yescharacteristic
535#336C2311yescharacteristic
536#336C2311yescharacteristic
537#336C2311yescharacteristic
538#336C2311yescharacteristic
539C25—21no—
540C25—21no—
541C25—21no—
542C25C2×D411yescharacteristic
543C2×#41—22no—
544C2×#41—22no—
545C2×#41—22no—
546C2×#41—22no—
547C2×#41—22no—
548C2×#41—22no—
549C2×#41—22no—
550C2×#41—22no—
551C2×#41—22no—
552C2×#41—22no—
553C2×#41—22no—
554C2×#41—22no—
555C2×#41—22no—
556C2×#41—22no—
557C2×#41—22no—
558C2×#41—41no—
559C2×#41—41no—
560C2×#41—41no—
561C2×#41—41no—
562C2×#41—44no—
563C2×#41—41no—
564C2×#41—41no—
565C2×#41—41no—
566C2×#41—41no—
567C2×#41—41no—
568C2×#41—41no—
569C2×#41—41no—
570C2×#41—41no—
571C2×#41—41no—
572C2×#41—41no—
573C2×#41—44no—
574C2×#41—44no—
575C2×#41—44no—
576C2×#41—44no—
577C2×#41—44no—
578C2×#41—416no—
579C2×#41—416no—
580C2×#41—416no—
581C2×#41—416no—
582C2×#41C2×D414yescomplemented
583C22×Q8—21no—
584C22×Q8—22no—
585C22×Q8—22no—
586C22×Q8—41no—
587C22×Q8—41no—
588C22×Q8—41no—
589C22×Q8—41no—
590C22×Q8C2×D411yescharacteristic
591C22×Q8C2411yescharacteristic
592C22×Q8C2411yescharacteristic
593C22×D4—21no—
594C22×D4—21no—
595C22×D4—21no—
596C22×D4—22no—
597C22×D4—22no—
598C22×D4—22no—
599C22×D4—22no—
600C22×D4—21no—
601C22×D4—21no—
602C22×D4—21no—
603C22×D4—21no—
604C22×D4—21no—
605C22×D4—21no—
606C22×D4—21no—
607C22×D4—21no—
608C22×D4—21no—
609C22×D4—21no—
610C22×D4—21no—
611C22×D4—21no—
612C22×D4—21no—
613C22×D4—21no—
614C22×D4—21no—
615C22×D4—21no—
616C22×D4—21no—
617C22×D4—21no—
618C22×D4—21no—
619C22×D4—21no—
620C22×D4—21no—
621C22×D4—22no—
622C22×D4—22no—
623C22×D4—41no—
624C22×D4—41no—
625C22×D4—41no—
626C22×D4—41no—
627C22×D4—41no—
628C22×D4—41no—
629C22×D4—41no—
630C22×D4—41no—
631C22×D4—41no—
632C22×D4—41no—
633C22×D4—41no—
634C22×D4—41no—
635C22×D4—44no—
636C22×D4—44no—
637C22×D4—44no—
638C22×D4—44no—
639C22×D4—44no—
640C22×D4—82no—
641C22×D4—82no—
642C22×D4—82no—
643C22×D4—82no—
644C22×D4C2×D411yescharacteristic
645C22×D4C2×D411yescharacteristic
646C22×D4C2×D411yescharacteristic
647C22×D4C2×D411yescharacteristic
648C22×D4C2×D411yescharacteristic
649C22×D4C2×D411yescharacteristic
650C22×D4C2×D411yescharacteristic
651C22×D4C2411yescharacteristic
652C22×D4C2411yescharacteristic
653C22×D4C2411yescharacteristic
654C22×D4C2411yescharacteristic
655C22×D4C2411yescharacteristic
656C23×C4—22no—
657C23×C4—21no—
658C23×C4—21no—
659C23×C4—22no—
660C23×C4—22no—
661C23×C4—22no—
662C23×C4—21no—
663C23×C4—21no—
664C23×C4—21no—
665C23×C4—21no—
666C23×C4—21no—
667C23×C4—21no—
668C23×C4—21no—
669C23×C4—41no—
670C23×C4—41no—
671C23×C4—44no—
672C23×C4—44no—
673C23×C4—44no—
674C23×C4C2×D411yescharacteristic
675C23×C4C2×D411yescharacteristic
676C23×C4C2×D411yescharacteristic
677C23×C4C2411yescharacteristic
678C23×C4C2411yescharacteristic
679C23×C4C2411yescharacteristic
680C23×C4C2411yescharacteristic
681C23×C4C2411yescharacteristic
682AGL(1,ℤ/8)—416no—
683AGL(1,ℤ/8)—416no—
684C2×SD16—22no—
685C2×SD16—22no—
686C2×SD16—22no—
687C2×SD16—22no—
688C2×SD16—22no—
689C2×SD16—22no—
690C2×SD16—22no—
691C2×SD16—41no—
692C2×SD16—41no—
693C2×SD16—41no—
694C2×SD16—41no—
695C2×SD16—41no—
696C2×SD16—41no—
697C2×SD16—41no—
698C2×SD16—41no—
699C2×SD16—41no—
700C2×SD16—41no—
701C2×SD16C2×D414yes—
702C2×D8—22no—
703C2×D8—22no—
704C2×D8—22no—
705C2×D8—22no—
706C2×D8—22no—
707C2×D8—22no—
708C2×D8—22no—
709C2×D8—41no—
710C2×D8—41no—
711C2×D8—41no—
712C2×D8—41no—
713C2×D8—41no—
714C2×D8—41no—
715C2×D8—41no—
716C2×D8—41no—
717C2×D8—41no—
718C2×D8—41no—
719C2×D8C2×D414yes—
720C2×M16—22no—
721C2×M16—22no—
722C2×M16—22no—
723C2×M16—22no—
724C2×M16—22no—
725C2×M16—41no—
726C2×M16—41no—
727C2×M16—41no—
728C2×M16—41no—
729C22×C8—22no—
730C22×C8—41no—
731C22×C8—41no—
732C22×C8C2411yescharacteristic
733C22×C8C2411yescharacteristic
734C22×C8C2411yescharacteristic
735C22×C8C2411yescharacteristic
736C22×C8C2411yescharacteristic
737C22×C8C2411yescharacteristic
738C22×C8C2411yescharacteristic
739C22×C8C2411yescharacteristic
740#127—41no—
741#127—41no—
742#127—44no—
743#127—82no—
744#124—44no—
745#123—42no—
746#123—42no—
747C22⋊Q8—22no—
748C22⋊Q8—22no—
749C22⋊Q8—22no—
750C22⋊Q8—22no—
751C22⋊Q8—42no—
752C22⋊Q8—42no—
753C22⋊Q8—41no—
754C22⋊Q8—41no—
755C22⋊Q8—41no—
756C22⋊Q8—41no—
757C22⋊Q8—44no—
758C22⋊Q8—44no—
759#121—22no—
760#121—22no—
761#121—22no—
762#121—22no—
763#121—22no—
764#121—22no—
765#121—22no—
766#121—22no—
767#121—22no—
768#121—22no—
769#121—22no—
770#121—22no—
771#121—22no—
772#121—22no—
773#121—22no—
774#121—42no—
775#121—44no—
776#121—41no—
777#121—41no—
778#121—41no—
779#121—41no—
780#121—41no—
781#121—41no—
782#121—41no—
783#121—41no—
784#121—41no—
785#121—41no—
786#121—44no—
787#121—42no—
788#121—44no—
789#121—44no—
790#121—44no—
791#121—44no—
792#121—44no—
793#121—44no—
794#121—44no—
795#121—41no—
796#121—41no—
797#121—41no—
798#121—41no—
799#121—82no—
800#121C2×D414yes—
801#120—42no—
802#120—42no—
803#120—44no—
804#120—44no—
805#120—44no—
806#120—44no—
807#120—82no—
808#120—82no—
809#120—82no—
810#120—82no—
811#120—82no—
812C4×D4—22no—
813C4×D4—22no—
814C4×D4—22no—
815C4×D4—22no—
816C4×D4—41no—
817C4×D4—41no—
818C4×D4—41no—
819C4×D4—41no—
820C4×D4—41no—
821C4×D4—41no—
822#117—22no—
823#117—41no—
824#117—41no—
825#117—41no—
826C2×C4⋊C4—22no—
827C2×C4⋊C4—22no—
828C2×C4⋊C4—22no—
829C2×C4⋊C4—21no—
830C2×C4⋊C4—21no—
831C2×C4⋊C4—21no—
832C2×C4⋊C4—21no—
833C2×C4⋊C4—21no—
834C2×C4⋊C4—21no—
835C2×C4⋊C4—21no—
836C2×C4⋊C4—21no—
837C2×C4⋊C4—41no—
838C2×C4⋊C4—41no—
839C2×C4⋊C4—41no—
840C2×C4⋊C4C2×D411yescharacteristic
841C2×C4⋊C4C2×D411yescharacteristic
842C2×C4⋊C4C2×D411yescharacteristic
843C2×C4⋊C4C2×D411yescharacteristic
844C2×C4⋊C4C2×D411yescharacteristic
845C2×C4⋊C4C2×D411yescharacteristic
846C2×C4⋊C4C2411yescharacteristic
847C2×C4⋊C4C2411yescharacteristic
848C2×C4⋊C4C2411yescharacteristic
849C2×C4⋊C4C2411yescharacteristic
850C2×C4⋊C4C2411yescharacteristic
851C2×C4⋊C4C2411yescharacteristic
852C2×C4⋊C4C2411yescharacteristic
853C2×C4⋊C4C2411yescharacteristic
854C2×C4⋊C4C2411yescharacteristic
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—21no—
883C2×C22⋊C4—21no—
884C2×C22⋊C4—21no—
885C2×C22⋊C4—21no—
886C2×C22⋊C4—21no—
887C2×C22⋊C4—21no—
888C2×C22⋊C4—21no—
889C2×C22⋊C4—21no—
890C2×C22⋊C4—21no—
891C2×C22⋊C4—21no—
892C2×C22⋊C4—21no—
893C2×C22⋊C4—21no—
894C2×C22⋊C4—21no—
895C2×C22⋊C4—21no—
896C2×C22⋊C4—21no—
897C2×C22⋊C4—21no—
898C2×C22⋊C4—21no—
899C2×C22⋊C4—44no—
900C2×C22⋊C4—82no—
901C2×C22⋊C4C2×D411yescharacteristic
902C2×C22⋊C4C2×D411yescharacteristic
903C2×C22⋊C4C2×D411yescharacteristic
904C2×C22⋊C4C2×D411yescharacteristic
905C2×C22⋊C4C2×D411yescharacteristic
906C2×C22⋊C4C2×D411yescharacteristic
907C2×C22⋊C4C2×D411yescharacteristic
908C2×C22⋊C4C2×D411yescharacteristic
909C2×C22⋊C4C2×D411yescharacteristic
910C2×C22⋊C4C2×D411yescharacteristic
911C2×C42—21no—
912C2×C42—21no—
913C2×C42C2411yescharacteristic
914C2×C42C2411yescharacteristic
915#107—22no—
916#107—22no—
917#106—22no—
918#106—22no—
919#106—41no—
920#106—41no—
921#106—41no—
922#106—41no—
923C4⋊C8—41no—
924C4⋊C8—41no—
925#103—22no—
926#103—22no—
927#103—22no—
928#103—22no—
929#103—22no—
930#103—41no—
931#103—41no—
932#103—41no—
933#103—41no—
934#103C2×D414yescomplemented
935#102—22no—
936#102—22no—
937#102—22no—
938#102—22no—
939#102—22no—
940#102—22no—
941#102—22no—
942#102—22no—
943#102—22no—
944#102—41no—
945#102—41no—
946#102—41no—
947#102—41no—
948#102—41no—
949#102—41no—
950#102—41no—
951#102—41no—
952#102—41no—
953#102—41no—
954#102—41no—
955#102—41no—
956#102C2×D414yescomplemented
957C22⋊C8—22no—
958C22⋊C8—22no—
959C22⋊C8—22no—
960C22⋊C8—22no—
961C22⋊C8—22no—
962C22⋊C8—22no—
963C22⋊C8—22no—
964C22⋊C8—22no—
965C22⋊C8—22no—
966C22⋊C8—41no—
967C22⋊C8—41no—
968C22⋊C8—41no—
969C22⋊C8—41no—
970C22⋊C8—41no—
971C22⋊C8—41no—
972C22⋊C8C2×D414yescomplemented
973#97—41no—
974C4×C8—41no—
975#95—21no—
976#95—21no—
977#95—21no—
978#95—21no—
979#95—21no—
980#95—21no—
981#95—21no—
982#95—21no—
983#95—21no—
984#95—21no—
985#95—21no—
986#95—21no—
987#95—21no—
988#95—21no—
989#95—21no—
990#95—21no—
991#95—21no—
992#95—21no—
993#95—21no—
994#95—21no—
995#95—21no—
996C24—21no—
997C24—21no—
998C24—21no—
999C24—22no—
1000C24—22no—
1001C24—22no—
1002C24—21no—
1003C24—21no—
1004C24—41no—
1005C24—41no—
1006C24—41no—
1007C24—41no—
1008C24—42no—
1009C24—42no—
1010C24—42no—
1011C24—42no—
1012C24—42no—
1013C24—42no—
1014C24—42no—
1015C24—42no—
1016C24—42no—
1017C24—42no—
1018C24—42no—
1019C24—81no—
1020C24—81no—
1021C24—81no—
1022C24—81no—
1023C24—81no—
1024C24—81no—
1025C24—81no—
1026C24—81no—
1027C24—81no—
1028C24—81no—
1029C24C22×D411yescharacteristic
1030C24C22×D411yescharacteristic
1031C24C22×D411yescharacteristic
1032C24C22×D411yescharacteristic
1033C24C22×D411yescharacteristic
1034#41—28no—
1035#41—28no—
1036#41—44no—
1037#41—44no—
1038#41—44no—
1039#41—44no—
1040#41—44no—
1041#41—44no—
1042#41—44no—
1043#41—44no—
1044#41—44no—
1045#41—44no—
1046#41—44no—
1047#41—44no—
1048#41—44no—
1049#41—44no—
1050#41—432no—
1051#41—432no—
1052#41—82no—
1053#41—82no—
1054#41—82no—
1055#41—82no—
1056C2×Q8—22no—
1057C2×Q8—21no—
1058C2×Q8—21no—
1059C2×Q8—21no—
1060C2×Q8—21no—
1061C2×Q8—21no—
1062C2×Q8—21no—
1063C2×Q8—21no—
1064C2×Q8—21no—
1065C2×Q8—21no—
1066C2×Q8—21no—
1067C2×Q8—41no—
1068C2×Q8—41no—
1069C2×Q8—42no—
1070C2×Q8—42no—
1071C2×Q8—42no—
1072C2×Q8—44no—
1073C2×Q8—44no—
1074C2×Q8—44no—
1075C2×Q8—44no—
1076C2×Q8C22×D412yes—
1077C2×Q8H(5,𝔽2)12yes—
1078C2×D4—24no—
1079C2×D4—22no—
1080C2×D4—24no—
1081C2×D4—22no—
1082C2×D4—22no—
1083C2×D4—24no—
1084C2×D4—22no—
1085C2×D4—22no—
1086C2×D4—22no—
1087C2×D4—22no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—21no—
1103C2×D4—21no—
1104C2×D4—21no—
1105C2×D4—21no—
1106C2×D4—21no—
1107C2×D4—21no—
1108C2×D4—21no—
1109C2×D4—21no—
1110C2×D4—21no—
1111C2×D4—21no—
1112C2×D4—21no—
1113C2×D4—21no—
1114C2×D4—21no—
1115C2×D4—44no—
1116C2×D4—44no—
1117C2×D4—41no—
1118C2×D4—41no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C2×D4—41no—
1132C2×D4—41no—
1133C2×D4—41no—
1134C2×D4—41no—
1135C2×D4—41no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—42no—
1140C2×D4—42no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—42no—
1149C2×D4—42no—
1150C2×D4—42no—
1151C2×D4—432no—
1152C2×D4—44no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—42no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—42no—
1161C2×D4—42no—
1162C2×D4—42no—
1163C2×D4—42no—
1164C2×D4—42no—
1165C2×D4—42no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C2×D4—82no—
1173C2×D4—82no—
1174C2×D4—81no—
1175C2×D4—81no—
1176C2×D4—81no—
1177C2×D4—81no—
1178C2×D4—81no—
1179C2×D4—81no—
1180C2×D4—82no—
1181C2×D4—82no—
1182C2×D4—82no—
1183C2×D4—82no—
1184C2×D4—81no—
1185C2×D4—81no—
1186C2×D4—81no—
1187C2×D4—81no—
1188C2×D4—81no—
1189C2×D4—81no—
1190C2×D4—81no—
1191C2×D4—81no—
1192C2×D4—81no—
1193C2×D4—81no—
1194C2×D4—81no—
1195C2×D4—81no—
1196C2×D4—81no—
1197C2×D4—81no—
1198C2×D4—81no—
1199C2×D4—81no—
1200C2×D4—81no—
1201C2×D4—81no—
1202C2×D4—81no—
1203C2×D4—81no—
1204C2×D4—81no—
1205C2×D4—81no—
1206C2×D4—81no—
1207C2×D4—81no—
1208C2×D4—81no—
1209C2×D4—81no—
1210C2×D4—81no—
1211C2×D4—816no—
1212C2×D4—816no—
1213C2×D4C22×D412yes—
1214C2×D4C22×D412yes—
1215C2×D4H(5,𝔽2)12yes—
1216C22×C4—21no—
1217C22×C4—21no—
1218C22×C4—21no—
1219C22×C4—21no—
1220C22×C4—21no—
1221C22×C4—21no—
1222C22×C4—21no—
1223C22×C4—21no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—21no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—21no—
1236C22×C4—21no—
1237C22×C4—21no—
1238C22×C4—21no—
1239C22×C4—21no—
1240C22×C4—21no—
1241C22×C4—21no—
1242C22×C4—21no—
1243C22×C4—21no—
1244C22×C4—21no—
1245C22×C4—21no—
1246C22×C4—21no—
1247C22×C4—21no—
1248C22×C4—21no—
1249C22×C4—21no—
1250C22×C4—21no—
1251C22×C4—21no—
1252C22×C4—21no—
1253C22×C4—21no—
1254C22×C4—21no—
1255C22×C4—21no—
1256C22×C4—21no—
1257C22×C4—21no—
1258C22×C4—21no—
1259C22×C4—21no—
1260C22×C4—21no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—44no—
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—432no—
1281C22×C4—42no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—81no—
1288C22×C4—81no—
1289C22×C4—81no—
1290C22×C4—81no—
1291C22×C4—81no—
1292C22×C4—81no—
1293C22×C4—81no—
1294C22×C4C22×D411yescharacteristic
1295C22×C4C22×D411yescharacteristic
1296C22×C4C22×D411yescharacteristic
1297C22×C4C22×D411yescharacteristic
1298C22×C4C22×D411yescharacteristic
1299C22×C4C22×D411yescharacteristic
1300C22×C4C22×D411yescharacteristic
1301C22×C4C22×D411yescharacteristic
1302C22×C4C22×D411yescharacteristic
1303C22×C4C22×D412yes—
1304C22×C4H(5,𝔽2)12yes—
1305C22×C4H(5,𝔽2)12yes—
1306C22×C4H(5,𝔽2)12yes—
1307C22×C4C2511yescharacteristic
1308SD16—44no—
1309SD16—44no—
1310SD16—44no—
1311SD16—44no—
1312SD16—82no—
1313SD16—82no—
1314D8—44no—
1315D8—44no—
1316D8—44no—
1317D8—44no—
1318D8—82no—
1319D8—82no—
1320M16—44no—
1321M16—44no—
1322M16—82no—
1323C2×C8—21no—
1324C2×C8—21no—
1325C2×C8—21no—
1326C2×C8—21no—
1327C2×C8—21no—
1328C2×C8—21no—
1329C2×C8—21no—
1330C2×C8—21no—
1331C2×C8—21no—
1332C2×C8—21no—
1333C2×C8—21no—
1334C2×C8—21no—
1335C2×C8—21no—
1336C2×C8—21no—
1337C2×C8—21no—
1338C2×C8—21no—
1339C2×C8—21no—
1340C2×C8—21no—
1341C2×C8—21no—
1342C2×C8—21no—
1343C2×C8—21no—
1344C2×C8—21no—
1345C2×C8—82no—
1346C2×C8C22×D412yes—
1347C2×C8C22×D412yes—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—21no—
1351C4⋊C4—21no—
1352C4⋊C4—21no—
1353C4⋊C4—21no—
1354C4⋊C4—21no—
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—21no—
1366C4⋊C4—21no—
1367C4⋊C4—41no—
1368C4⋊C4—41no—
1369C4⋊C4—41no—
1370C4⋊C4—41no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—81no—
1379C4⋊C4C22×D412yes—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—24no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—81no—
1413C22⋊C4—81no—
1414C22⋊C4—81no—
1415C22⋊C4—81no—
1416C22⋊C4—81no—
1417C22⋊C4—81no—
1418C22⋊C4—81no—
1419C22⋊C4—81no—
1420C22⋊C4—81no—
1421C22⋊C4—81no—
1422C22⋊C4—81no—
1423C22⋊C4—81no—
1424C22⋊C4—81no—
1425C22⋊C4—81no—
1426C22⋊C4—81no—
1427C22⋊C4—81no—
1428C22⋊C4—81no—
1429C22⋊C4—81no—
1430C22⋊C4—81no—
1431C22⋊C4—81no—
1432C22⋊C4—81no—
1433C22⋊C4—81no—
1434C42—21no—
1435C42—21no—
1436C42—21no—
1437C42—21no—
1438C42—42no—
1439C42—81no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—22no—
1467C23—21no—
1468C23—22no—
1469C23—21no—
1470C23—22no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—44no—
1476C23—44no—
1477C23—44no—
1478C23—48no—
1479C23—41no—
1480C23—41no—
1481C23—41no—
1482C23—41no—
1483C23—41no—
1484C23—41no—
1485C23—41no—
1486C23—41no—
1487C23—41no—
1488C23—41no—
1489C23—41no—
1490C23—41no—
1491C23—41no—
1492C23—41no—
1493C23—41no—
1494C23—41no—
1495C23—41no—
1496C23—41no—
1497C23—41no—
1498C23—41no—
1499C23—41no—
1500C23—41no—
1501C23—41no—
1502C23—41no—
1503C23—41no—
1504C23—41no—
1505C23—41no—
1506C23—41no—
1507C23—41no—
1508C23—41no—
1509C23—41no—
1510C23—41no—
1511C23—82no—
1512C23—82no—
1513C23—82no—
1514C23—84no—
1515C23—84no—
1516C23—84no—
1517C23—84no—
1518C23—84no—
1519C23—82no—
1520C23—84no—
1521C23—84no—
1522C23—84no—
1523C23—84no—
1524C23—84no—
1525C23—84no—
1526C23—84no—
1527C23—162no—
1528C23—162no—
1529C23—162no—
1530C23—162no—
1531C23—162no—
1532C23—162no—
1533C23—162no—
1534C23—162no—
1535C23#53412yes—
1536C23D4212yes—
1537C23#57712yes—
1538C23C23×D411yescharacteristic
1539Q8—22no—
1540Q8—22no—
1541Q8—22no—
1542Q8—22no—
1543Q8—48no—
1544Q8—41no—
1545Q8—41no—
1546Q8—41no—
1547Q8—41no—
1548Q8—82no—
1549D4—22no—
1550D4—22no—
1551D4—22no—
1552D4—22no—
1553D4—22no—
1554D4—22no—
1555D4—48no—
1556D4—48no—
1557D4—44no—
1558D4—48no—
1559D4—48no—
1560D4—48no—
1561D4—41no—
1562D4—41no—
1563D4—41no—
1564D4—41no—
1565D4—41no—
1566D4—41no—
1567D4—41no—
1568D4—41no—
1569D4—41no—
1570D4—41no—
1571D4—41no—
1572D4—41no—
1573D4—41no—
1574D4—41no—
1575D4—82no—
1576D4—84no—
1577D4—82no—
1578D4—82no—
1579D4—82no—
1580D4—82no—
1581D4—82no—
1582D4—84no—
1583D4—84no—
1584D4—84no—
1585D4—84no—
1586D4—84no—
1587D4—84no—
1588D4—84no—
1589D4—84no—
1590D4—162no—
1591D4—162no—
1592D4—162no—
1593D4—162no—
1594D4—162no—
1595D4—162no—
1596D4—162no—
1597D4—162no—
1598D4—162no—
1599D4—162no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—44no—
1637C2×C4—44no—
1638C2×C4—44no—
1639C2×C4—48no—
1640C2×C4—48no—
1641C2×C4—48no—
1642C2×C4—48no—
1643C2×C4—48no—
1644C2×C4—41no—
1645C2×C4—41no—
1646C2×C4—41no—
1647C2×C4—41no—
1648C2×C4—41no—
1649C2×C4—41no—
1650C2×C4—41no—
1651C2×C4—41no—
1652C2×C4—41no—
1653C2×C4—41no—
1654C2×C4—41no—
1655C2×C4—41no—
1656C2×C4—41no—
1657C2×C4—41no—
1658C2×C4—41no—
1659C2×C4—41no—
1660C2×C4—41no—
1661C2×C4—41no—
1662C2×C4—41no—
1663C2×C4—41no—
1664C2×C4—41no—
1665C2×C4—41no—
1666C2×C4—41no—
1667C2×C4—41no—
1668C2×C4—41no—
1669C2×C4—41no—
1670C2×C4—41no—
1671C2×C4—41no—
1672C2×C4—41no—
1673C2×C4—41no—
1674C2×C4—41no—
1675C2×C4—41no—
1676C2×C4—41no—
1677C2×C4—41no—
1678C2×C4—41no—
1679C2×C4—41no—
1680C2×C4—41no—
1681C2×C4—41no—
1682C2×C4—41no—
1683C2×C4—41no—
1684C2×C4—41no—
1685C2×C4—41no—
1686C2×C4—84no—
1687C2×C4—84no—
1688C2×C4—162no—
1689C2×C4—162no—
1690C2×C4#53412yes—
1691C2×C4D4212yes—
1692C2×C4C23×D411yescharacteristic
1693C2×C4C2×H(5,𝔽2)11yescharacteristic
1694C2×C4C2×H(5,𝔽2)11yescharacteristic
1695C2×C4C2×H(5,𝔽2)11yescharacteristic
1696C2×C4C2×H(5,𝔽2)11yescharacteristic
1697C2×C4C2×H(5,𝔽2)11yescharacteristic
1698C8—22no—
1699C8—22no—
1700C8—41no—
1701C8—41no—
1702C8—41no—
1703C8—41no—
1704C8—41no—
1705C8—41no—
1706C22—22no—
1707C22—22no—
1708C22—22no—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—42no—
1728C22—42no—
1729C22—41no—
1730C22—41no—
1731C22—42no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—42no—
1739C22—42no—
1740C22—42no—
1741C22—41no—
1742C22—41no—
1743C22—42no—
1744C22—41no—
1745C22—41no—
1746C22—42no—
1747C22—41no—
1748C22—41no—
1749C22—42no—
1750C22—88no—
1751C22—816no—
1752C22—81no—
1753C22—81no—
1754C22—81no—
1755C22—81no—
1756C22—81no—
1757C22—81no—
1758C22—81no—
1759C22—81no—
1760C22—81no—
1761C22—81no—
1762C22—81no—
1763C22—81no—
1764C22—81no—
1765C22—81no—
1766C22—81no—
1767C22—81no—
1768C22—81no—
1769C22—81no—
1770C22—81no—
1771C22—81no—
1772C22—81no—
1773C22—81no—
1774C22—81no—
1775C22—81no—
1776C22—81no—
1777C22—81no—
1778C22—168no—
1779C22—168no—
1780C22C2×#53411yescharacteristic
1781C22C2×D4211yescharacteristic
1782C22#348411yescharacteristic
1783C22C2×#57711yescharacteristic
1784C22#358511yescharacteristic
1785C22#358511yescharacteristic
1786C22#358511yescharacteristic
1787C4—22no—
1788C4—22no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4—42no—
1793C4—42no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—42no—
1799C4—81no—
1800C4—81no—
1801C4—81no—
1802C4—81no—
1803C4—81no—
1804C4—81no—
1805C4—81no—
1806C4—81no—
1807C4#348411yescharacteristic
1808C4#348411yescharacteristic
1809C4#353211yescharacteristic
1810C4#353211yescharacteristic
1811C2—42no—
1812C2—42no—
1813C2—42no—
1814C2—81no—
1815C2—81no—
1816C2—82no—
1817C2—82no—
1818C2—82no—
1819C2—161no—
1820C2—161no—
1821C2#3764411yescharacteristic
1822C2#6075311yescharacteristic
1823C2#6076511yescharacteristic
1824C2#6106311yescharacteristic
1825C2#6107111yescharacteristic
1826C2#6162111yescharacteristic
1827C2#6165311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#525 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#3198C2semidirect
2. C2×#3006C2semidirect
3. #37650C2semidirect
4. #35251C2semidirect
5. #32880C2semidirect
6. #31064C2semidirect
7. #31058C2semidirect
8. #31047C2semidirect
9. #31020C2semidirect
10. #30509C2semidirect
11. #30506C2semidirect
12. #30419C2semidirect
13. #30400C2semidirect
14. #29725C2semidirect
15. #29606C2semidirect
16. #28325C2semidirect
17. #28127C2semidirect
18. #25133C2semidirect
19. #25123C2semidirect
20. #24891C2semidirect
21. #24885C2semidirect
22. #24558C2semidirect
23. #24397C2semidirect
24. #24277C2semidirect
25. #24275C2semidirect
26. #24005C2semidirect
27. #23924C2semidirect
28. #23860C2semidirect
29. #23860C2semidirect
30. #22400C2semidirect
31. #22053C2semidirect
32. C23×#41C22semidirect
35. C2×D42C22semidirect
36. C2×#537C22semidirect
37. C2×#537C22semidirect
38. C2×#535C22semidirect
42. C2×#481C22semidirect
43. C2×#481C22semidirect
44. C2×#485C22semidirect
45. C2×#482C22semidirect
46. C2×#480C22semidirect
47. C2×#469C22semidirect
48. C2×#469C22semidirect
49. C2×#468C22semidirect
50. C2×#466C22semidirect
51. C2×#465C22semidirect
52. C2×#465C22semidirect
58. C2×#449C22semidirect
59. C2×#449C22semidirect
60. C2×#449C22semidirect
61. C2×#449C22semidirect
63. C2×#448C22semidirect
64. C2×#448C22semidirect
65. C2×#450C22semidirect
66. C2×#450C22semidirect
68. C2×#447C22semidirect
69. C2×#447C22semidirect
70. C2×#447C22semidirect
71. C2×#447C22semidirect
72. C2×#436C22semidirect
73. C2×#435C22semidirect
74. C2×#417C22semidirect
75. C2×#417C22semidirect
76. C2×#408C22semidirect
77. C2×#407C22semidirect
85. #2619C22semidirect
88. #2615C22semidirect
95. #2416C22semidirect
100. #2409C22semidirect
101. #2409C22semidirect
103. #2408C22semidirect
104. #2408C22semidirect
105. #2408C22semidirect
108. #2407C22semidirect
109. #2407C22semidirect
111. #2352C22semidirect
112. #2324C22semidirect
113. #2311C22semidirect
114. #2311C22semidirect
115. C2×#380C22semidirect
116. #2097C22semidirect
117. #2092C22semidirect
118. #2076C22semidirect
119. #2076C22semidirect
120. #2074C22semidirect
121. #2073C22semidirect
122. #2066C22semidirect
123. #2065C22semidirect
124. #2055C22semidirect
125. #2055C22semidirect
126. #2055C22semidirect
127. #2054C22semidirect
128. #2054C22semidirect
129. #2054C22semidirect
130. #2035C22semidirect
131. #2035C22semidirect
132. #2035C22semidirect
135. #2034C22semidirect
136. #2034C22semidirect
137. #2034C22semidirect
138. #2034C22semidirect
139. #2034C22semidirect
140. #2034C22semidirect
141. #2034C22semidirect
142. #2014C22semidirect
143. #2014C22semidirect
144. #2011C22semidirect
145. #2011C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
151. #1999C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1973C22semidirect
157. #1972C22semidirect
158. #1972C22semidirect
159. #1970C22semidirect
160. #1968C22semidirect
161. #1968C22semidirect
162. #1955C22semidirect
163. #1954C22semidirect
164. #1935C22semidirect
165. #1934C22semidirect
166. #1927C22semidirect
167. #1927C22semidirect
168. #1926C22semidirect
169. #1926C22semidirect
170. #1895C22semidirect
171. #1895C22semidirect
172. #1894C22semidirect
173. #1893C22semidirect
174. #1879C22semidirect
175. #1879C22semidirect
176. #1877C22semidirect
177. #1877C22semidirect
178. #1875C22semidirect
179. #1874C22semidirect
180. #1874C22semidirect
181. #1874C22semidirect
182. #1873C22semidirect
183. #1870C22semidirect
184. #1870C22semidirect
185. #1870C22semidirect
186. #1869C22semidirect
187. #1853C22semidirect
188. #1853C22semidirect
189. #1853C22semidirect
190. #1823C22semidirect
191. #1809C22semidirect
192. #1809C22semidirect
193. #1798C22semidirect
194. #1788C22semidirect
195. #1788C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1787C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
201. #1786C22semidirect
202. #1780C22semidirect
203. #1779C22semidirect
204. #1750C22semidirect
345. #449D4semidirect
582. C2×#41C2×D4semidirect
934. #103C2×D4semidirect
956. #102C2×D4semidirect
972. C22⋊C8C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#31982
C2×#30062
#376502
#352512
#328802
#310642
#310582
#310472
#310202
#305092
#305062
#304192
#304002
#297252
#296062
#283252
#281272
#251332
#251232
#248912
#248852
#245582
#243972
#242772
#242752
#240052
#239242
#238602
#224002
#220532