Finite Group Databasebeta

← #7514537

Subgroups — #7514537

Order 512.

2946 conjugacy classes of subgroups.

The subgroup lattice has 1754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3332C211yesmaximal, characteristic, complemented
2C2×#3012C211yesmaximal, characteristic, complemented
3#44869C211yesmaximal, characteristic, complemented
4#36091C211yesmaximal, characteristic, complemented
5#31024C211yesmaximal, characteristic, complemented
6#30984C211yesmaximal, characteristic, complemented
7#30527C211yesmaximal, characteristic, complemented
8#30412C211yesmaximal, characteristic, complemented
9#28332C211yesmaximal, characteristic, complemented
10#27254C211yesmaximal, characteristic, complemented
11#27233C211yesmaximal, characteristic, complemented
12#25967C211yesmaximal, characteristic, complemented
13#25136C211yesmaximal, characteristic, complemented
14#25097C211yesmaximal, characteristic, complemented
15#24896C211yesmaximal, characteristic, complemented
16#24865C211yesmaximal, characteristic, complemented
17#24568C211yesmaximal, characteristic, complemented
18#24546C211yesmaximal, characteristic, complemented
19#24443C211yesmaximal, characteristic, complemented
20#24427C211yesmaximal, characteristic, complemented
21#24397C211yesmaximal, characteristic, complemented
22#24372C211yesmaximal, characteristic, complemented
23#24277C211yesmaximal, characteristic, complemented
24#24238C211yesmaximal, characteristic, complemented
25#23960C211yesmaximal, characteristic, complemented
26#23857C211yesmaximal, characteristic, complemented
27#22877C211yesmaximal, characteristic, complemented
28#22853C211yesmaximal, characteristic, complemented
29#22449C211yesmaximal, characteristic, complemented
30#22432C211yesmaximal, characteristic, complemented
31#20602C211yesmaximal, characteristic, complemented
32C22×H(5,𝔽2)C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×#135C2211yescharacteristic
35C2×#550C2211yescharacteristic
36C2×#550C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×#547C2211yescharacteristic, complemented
39C2×#537C2211yescharacteristic
40#3332—28no—
41C2×#486C2211yescharacteristic, complemented
42C2×#481C2211yescharacteristic, complemented
43C2×#481C2211yescharacteristic, complemented
44C2×#475C2211yescharacteristic, complemented
45C2×#469C2211yescharacteristic, complemented
46C2×#469C2211yescharacteristic, complemented
47C2×#468C2211yescharacteristic, complemented
48C2×#465C2211yescharacteristic, complemented
49C2×#459C2211yescharacteristic, complemented
50C2×#459C2211yescharacteristic, complemented
51#3012—28no—
52C2×#452C2211yescharacteristic
53C2×#452C2211yescharacteristic
54C2×#452C2211yescharacteristic, complemented
55C2×#449C2211yescharacteristic
56C2×#449C2211yescharacteristic
57C2×#449C2211yescharacteristic, complemented
58C2×#449C2211yescharacteristic, complemented
59C2×#450C2211yescharacteristic
60C2×#450C2211yescharacteristic
61C2×#447C2211yescharacteristic
62C2×#447C2211yescharacteristic
63C2×C4×SD16C2211yescharacteristic, complemented
64C2×C4×SD16C2211yescharacteristic, complemented
65C2×#436C2211yescharacteristic, complemented
66C2×#436C2211yescharacteristic, complemented
67C2×#417C2211yescharacteristic
68C2×#417C2211yescharacteristic
69C2×#417C2211yescharacteristic, complemented
70C2×#418C2211yescharacteristic
71C2×#416C2211yescharacteristic
72C22×#102C2211yescharacteristic
73C22×#102C2211yescharacteristic
74C2×#408C2211yescharacteristic
75C2×#408C2211yescharacteristic
76#2708—21no—
77#2701—21no—
78#2687—21no—
79#2681—21no—
80#2615—21no—
81#2615C2211yescharacteristic
82#2549—21no—
83#2537C2211yescharacteristic, complemented
84#2502C2211yescharacteristic, complemented
85#2492C2211yescharacteristic, complemented
86#2464—21no—
87#2440C2211yescharacteristic, complemented
88#2433—21no—
89#2433—21no—
90#2433—21no—
91#2433C2211yescharacteristic
92#2433C2211yescharacteristic
93#2433C2211yescharacteristic
94#2430—21no—
95#2422C2211yescharacteristic, complemented
96#2417C2211yescharacteristic, complemented
97#2415C2211yescharacteristic, complemented
98#2408—21no—
99#2408—21no—
100#2408—21no—
101#2408C2211yescharacteristic
102#2408C2211yescharacteristic
103#2408C2211yescharacteristic
104#2407—21no—
105#2407C2211yescharacteristic, complemented
106#2388—21no—
107#2388C2211yescharacteristic
108#2363C2211yescharacteristic, complemented
109D4×C4⋊C4C2211yescharacteristic, complemented
110#2341C2211yescharacteristic
111#2341C2211yescharacteristic
112#2341C2211yescharacteristic
113#2339C2211yescharacteristic, complemented
114#2311C2211yescharacteristic
115#2094C2211yescharacteristic, complemented
116#2094C2211yescharacteristic, complemented
117#2077C2211yescharacteristic, complemented
118#2077C2211yescharacteristic, complemented
119#2071C2211yescharacteristic, complemented
120#2071C2211yescharacteristic, complemented
121#2067C2211yescharacteristic, complemented
122#2065C2211yescharacteristic, complemented
123#2055C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2055C2211yescharacteristic, complemented
126#2054C2211yescharacteristic, complemented
127#2041C2211yescharacteristic, complemented
128#2041C2211yescharacteristic, complemented
129#2035C2211yescharacteristic, complemented
130#2034C2211yescharacteristic, complemented
131#2034C2211yescharacteristic, complemented
132#2034C2211yescharacteristic, complemented
133#2034C2211yescharacteristic, complemented
134#2033C2211yescharacteristic, complemented
135#2023C2211yescharacteristic, complemented
136#2023C2211yescharacteristic, complemented
137#2014C2211yescharacteristic, complemented
138#2014C2211yescharacteristic, complemented
139#2014C2211yescharacteristic, complemented
140#2011C2211yescharacteristic, complemented
141#2000C2211yescharacteristic, complemented
142#2000C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#1999C2211yescharacteristic, complemented
145#1999C2211yescharacteristic, complemented
146#1999C2211yescharacteristic, complemented
147#1982C2211yescharacteristic, complemented
148#1970C2211yescharacteristic, complemented
149#1968C2211yescharacteristic, complemented
150#1968C2211yescharacteristic, complemented
151#1968C2211yescharacteristic, complemented
152#1957C2211yescharacteristic, complemented
153#1957C2211yescharacteristic, complemented
154#1954C2211yescharacteristic, complemented
155#1934C2211yescharacteristic, complemented
156#1934C2211yescharacteristic, complemented
157#1926C2211yescharacteristic, complemented
158#1926C2211yescharacteristic, complemented
159#1923C2211yescharacteristic, complemented
160#1923C2211yescharacteristic, complemented
161#1895C2211yescharacteristic, complemented
162#1895C2211yescharacteristic, complemented
163#1894C2211yescharacteristic, complemented
164#1893C2211yescharacteristic, complemented
165#1893C2211yescharacteristic, complemented
166#1880C2211yescharacteristic, complemented
167#1879C2211yescharacteristic, complemented
168#1879C2211yescharacteristic, complemented
169#1879C2211yescharacteristic, complemented
170#1879C2211yescharacteristic, complemented
171#1878C2211yescharacteristic, complemented
172#1878C2211yescharacteristic, complemented
173#1878C2211yescharacteristic, complemented
174#1875C2211yescharacteristic, complemented
175#1874C2211yescharacteristic, complemented
176#1874C2211yescharacteristic, complemented
177#1874C2211yescharacteristic, complemented
178#1870C2211yescharacteristic, complemented
179#1869C2211yescharacteristic, complemented
180#1869C2211yescharacteristic, complemented
181#1865C2211yescharacteristic, complemented
182#1863C2211yescharacteristic, complemented
183#1854C2211yescharacteristic, complemented
184#1853C2211yescharacteristic, complemented
185#1851C2211yescharacteristic, complemented
186#1851C2211yescharacteristic, complemented
187#1823C2211yescharacteristic, complemented
188#1809C2211yescharacteristic, complemented
189#1807C2211yescharacteristic, complemented
190#1803C2211yescharacteristic, complemented
191#1803C2211yescharacteristic, complemented
192#1788C2211yescharacteristic
193#1788C2211yescharacteristic
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1786C2211yescharacteristic
199#1786C2211yescharacteristic
200#1786C2211yescharacteristic
201#1786C2211yescharacteristic
202C4×#103C2211yescharacteristic, complemented
203C8×C22⋊C4C2211yescharacteristic, complemented
204C8×C22⋊C4C2211yescharacteristic, complemented
205C2×H(5,𝔽2)—24no—
206C2×H(5,𝔽2)—24no—
207C2×H(5,𝔽2)—42no—
208C2×H(5,𝔽2)—42no—
209C2×H(5,𝔽2)—42no—
210C2×H(5,𝔽2)—42no—
211C22×#41—21no—
212C22×#41—21no—
213C22×#41C2311yescharacteristic
214C22×#41C2311yescharacteristic
215C22×#41C2311yescharacteristic
216C22×#41C2311yescharacteristic
217C22×#41C2311yescharacteristic
218C22×#41C2311yescharacteristic
219C23×D4—21no—
220C23×D4—21no—
221C23×D4—21no—
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C2×AGL(1,ℤ/8)—24no—
226C2×AGL(1,ℤ/8)—42no—
227C2×AGL(1,ℤ/8)—42no—
228C2×#135—24no—
229C2×#135—24no—
230C2×#135—42no—
231C22×Q16C2311yescharacteristic
232C22×SD16C2311yescharacteristic
233C22×SD16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×D8C2311yescharacteristic
238C22×D8C2311yescharacteristic
239C22×D8C2311yescharacteristic
240C22×D8C2311yescharacteristic
241C22×M16C2311yescharacteristic
242C22×M16C2311yescharacteristic
243C22×M16C2311yescharacteristic
244C23×C8C2311yescharacteristic
245C23×C8C2311yescharacteristic
246#550—24no—
247#550—24no—
248#550—42no—
249#550—42no—
250#550—42no—
251#550—42no—
252#547—24no—
253#547—42no—
254#537—24no—
255#537—42no—
256C2×C4⋊Q8C2311yescharacteristic
257C2×#127—21no—
258C2×#127—21no—
259C2×#127—21no—
260C2×#127C2311yescharacteristic
261C2×#127C2311yescharacteristic
262C2×#127C2311yescharacteristic
263C2×#123—21no—
264C2×#123—21no—
265C2×#123—21no—
266C2×C22⋊Q8—21no—
267C2×C22⋊Q8—21no—
268C2×C22⋊Q8—21no—
269C2×C22⋊Q8C2311yescharacteristic
270C2×C22⋊Q8C2311yescharacteristic
271C2×C22⋊Q8C2311yescharacteristic
272C2×#121—21no—
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×#121C2311yescharacteristic
283C2×#121C2311yescharacteristic
284C2×#121C2311yescharacteristic
285C2×#121C2311yescharacteristic
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#120—21no—
292C2×#120—21no—
293C2×#120—21no—
294C2×#120—21no—
295C2×#120—21no—
296C2×#120—21no—
297C2×#120—21no—
298C2×#120—21no—
299C2×#120—21no—
300C2×C4×Q8C2311yescharacteristic
301C2×C4×Q8C2311yescharacteristic
302C2×C4×Q8C2311yescharacteristic
303C2×C4×D4—21no—
304C2×C4×D4—21no—
305C2×C4×D4—21no—
306C2×C4×D4—21no—
307C2×C4×D4C2311yescharacteristic
308C2×C4×D4C2311yescharacteristic
309C2×C4×D4C2311yescharacteristic
310C2×C4×D4C2311yescharacteristic
311C2×C4×D4C2311yescharacteristic
312C2×#117C2311yescharacteristic
313C22×C4⋊C4C2311yescharacteristic
314C22×C4⋊C4C2311yescharacteristic
315C22×C4⋊C4C2311yescharacteristic
316#486—24no—
317#481—24no—
318#481—24no—
319#475—24no—
320#469—24no—
321#469—24no—
322#468—42no—
323#465—42no—
324#459—24no—
325#459—42no—
326#452—24no—
327#452—24no—
328#452—42no—
329#450—24no—
330#450—24no—
331#449—24no—
332#449—24no—
333#449—42no—
334#449D418yescomplemented
335#447—24no—
336#447—24no—
337C4×SD16—24no—
338C4×SD16—42no—
339#436—24no—
340#436—42no—
341C2×#107C2311yescharacteristic
342C2×#106C2311yescharacteristic
343C2×#106C2311yescharacteristic
344C2×#106C2311yescharacteristic
345C2×#106C2311yescharacteristic
346C2×#106C2311yescharacteristic
347C2×C4⋊C8C2311yescharacteristic
348C2×C4⋊C8C2311yescharacteristic
349C2×C4⋊C8C2311yescharacteristic
350#418—42no—
351#417—24no—
352#417—24no—
353#417—24no—
354#416—42no—
355C2×#103C2311yescharacteristic
356C2×#103C2311yescharacteristic
357C2×#103C2311yescharacteristic
358C2×#103C2311yescharacteristic
359C2×#103C2311yescharacteristic
360C2×#103C2311yescharacteristic
361C2×#103C2311yescharacteristic
362C2×#103C2311yescharacteristic
363C2×#103C2311yescharacteristic
364C2×#102—24no—
365C2×#102—42no—
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×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391C2×#102C2311yescharacteristic
392C2×#102C2311yescharacteristic
393#408—24no—
394#408—42no—
395C2×C22⋊C8C2311yescharacteristic
396C2×C22⋊C8C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C2×C22⋊C8C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×C22⋊C8C2311yescharacteristic
405C2×C22⋊C8C2311yescharacteristic
406C2×C4×C8C2311yescharacteristic
407C2×C4×C8C2311yescharacteristic
408C2×C4×C8C2311yescharacteristic
409#400—21no—
410#398—21no—
411#398—21no—
412#398—21no—
413#398—21no—
414#397—21no—
415#397—21no—
416#396—21no—
417#395—21no—
418#395D411yescharacteristic
419#394—21no—
420#394—21no—
421#394—21no—
422#394—21no—
423#394—21no—
424#394—21no—
425#394—21no—
426#394—21no—
427#394D411yescharacteristic
428#394D411yescharacteristic
429#394D411yescharacteristic
430#393—21no—
431#393—21no—
432#393D411yescharacteristic
433#392—21no—
434#392—21no—
435#392—21no—
436#392—21no—
437#392—21no—
438#392—21no—
439#392—21no—
440#392—21no—
441#392—21no—
442#392—21no—
443#392—21no—
444#392—21no—
445#392—21no—
446#392D411yescharacteristic
447#392D411yescharacteristic
448#392D411yescharacteristic
449#391—21no—
450#391—21no—
451#391C2311yescharacteristic
452#391C2311yescharacteristic
453#391C2311yescharacteristic
454#390—21no—
455#390—21no—
456#390—21no—
457#390—21no—
458#390—21no—
459#390—21no—
460#390—21no—
461#390—21no—
462#390C2311yescharacteristic
463#390C2311yescharacteristic
464#390C2311yescharacteristic
465#390C2311yescharacteristic
466#390C2311yescharacteristic
467#390C2311yescharacteristic
468#390C2311yescharacteristic
469#389—21no—
470#389—21no—
471#389C2311yescharacteristic
472#389C2311yescharacteristic
473#388—21no—
474#388—21no—
475#388—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#385—21no—
484#385—21no—
485#385—21no—
486#385—21no—
487#385—21no—
488#385—21no—
489#385—21no—
490#384C2311yescharacteristic
491#384C2311yescharacteristic
492#381—21no—
493#380—21no—
494#380—21no—
495#380—21no—
496#380—21no—
497#380—21no—
498#380C2311yescharacteristic
499#380C2311yescharacteristic
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×C22⋊C4—21no—
511C4×C22⋊C4—21no—
512C4×C22⋊C4—21no—
513C4×C22⋊C4—21no—
514C4×C22⋊C4C2311yescharacteristic
515C4×C22⋊C4C2311yescharacteristic
516C4×C22⋊C4C2311yescharacteristic
517C2×#95—21no—
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#336C2311yescharacteristic
531#336C2311yescharacteristic
532#336C2311yescharacteristic
533#336C2311yescharacteristic
534#336C2311yescharacteristic
535#336C2311yescharacteristic
536C25—21no—
537C25—21no—
538C25—21no—
539H(5,𝔽2)—416no—
540H(5,𝔽2)—416no—
541H(5,𝔽2)—416no—
542H(5,𝔽2)—416no—
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—22no—
559C2×#41—22no—
560C2×#41—22no—
561C2×#41—22no—
562C2×#41—22no—
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—41no—
574C2×#41—41no—
575C2×#41—44no—
576C2×#41—44no—
577C2×#41—44no—
578C2×#41—41no—
579C2×#41—41no—
580C2×#41—44no—
581C2×#41—82no—
582C2×#41—82no—
583C2×#41C2×D414yes—
584C2×#41#4114yescomplemented
585C22×Q8—21no—
586C22×Q8C2×D411yescharacteristic
587C22×Q8C2411yescharacteristic
588C22×Q8C2411yescharacteristic
589C22×D4—22no—
590C22×D4—22no—
591C22×D4—22no—
592C22×D4—22no—
593C22×D4—21no—
594C22×D4—21no—
595C22×D4—21no—
596C22×D4—21no—
597C22×D4—22no—
598C22×D4—22no—
599C22×D4—21no—
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—22no—
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—22no—
620C22×D4—22no—
621C22×D4—22no—
622C22×D4—41no—
623C22×D4—41no—
624C22×D4—41no—
625C22×D4—41no—
626C22×D4—41no—
627C22×D4—41no—
628C22×D4—41no—
629C22×D4—41no—
630C22×D4—44no—
631C22×D4—44no—
632C22×D4—44no—
633C22×D4—44no—
634C22×D4—44no—
635C22×D4—44no—
636C22×D4—44no—
637C22×D4—44no—
638C22×D4—44no—
639C22×D4C2×D411yescharacteristic
640C22×D4C2×D411yescharacteristic
641C22×D4C2×D411yescharacteristic
642C22×D4C2×D411yescharacteristic
643C22×D4C2×D411yescharacteristic
644C22×D4C2×D411yescharacteristic
645C22×D4C2411yescharacteristic
646C22×D4C2411yescharacteristic
647C22×D4C2411yescharacteristic
648C22×D4C2411yescharacteristic
649C22×D4C2411yescharacteristic
650C23×C4—21no—
651C23×C4—21no—
652C23×C4—21no—
653C23×C4—21no—
654C23×C4—21no—
655C23×C4—21no—
656C23×C4—21no—
657C23×C4—21no—
658C23×C4—21no—
659C23×C4—21no—
660C23×C4C2411yescharacteristic
661C23×C4C2411yescharacteristic
662C23×C4C2411yescharacteristic
663C23×C4C2411yescharacteristic
664AGL(1,ℤ/8)—416no—
665#135—416no—
666C2×Q16—22no—
667C2×Q16—22no—
668C2×Q16—22no—
669C2×SD16—22no—
670C2×SD16—22no—
671C2×SD16—22no—
672C2×SD16—22no—
673C2×SD16—22no—
674C2×SD16—22no—
675C2×SD16—22no—
676C2×SD16—41no—
677C2×SD16—41no—
678C2×SD16—41no—
679C2×SD16—41no—
680C2×SD16—41no—
681C2×SD16—41no—
682C2×SD16—41no—
683C2×SD16C2×D414yes—
684C2×D8—22no—
685C2×D8—22no—
686C2×D8—22no—
687C2×D8—22no—
688C2×D8—22no—
689C2×D8—41no—
690C2×D8—41no—
691C2×D8—41no—
692C2×D8—41no—
693C2×D8—41no—
694C2×D8—41no—
695C2×D8C2×D414yes—
696C2×M16—22no—
697C2×M16—22no—
698C2×M16—22no—
699C2×M16—22no—
700C2×M16—41no—
701C2×M16—41no—
702C2×M16—41no—
703C2×M16—41no—
704C2×M16—41no—
705C22×C8—22no—
706C22×C8—22no—
707C22×C8—22no—
708C22×C8—41no—
709C22×C8—41no—
710C22×C8—41no—
711C22×C8C2411yescharacteristic
712C22×C8C2411yescharacteristic
713C22×C8C2411yescharacteristic
714C22×C8C2411yescharacteristic
715C22×C8C2411yescharacteristic
716C22×C8C2411yescharacteristic
717C22×C8C2411yescharacteristic
718C22×C8C2411yescharacteristic
719C4⋊Q8—22no—
720C4⋊Q8—41no—
721#127—22no—
722#127—22no—
723#127—22no—
724#127—41no—
725#127—41no—
726#127—41no—
727#127—44no—
728#127—44no—
729#127—44no—
730#123—44no—
731#123—44no—
732#123—82no—
733C22⋊Q8—22no—
734C22⋊Q8—22no—
735C22⋊Q8—22no—
736C22⋊Q8—44no—
737C22⋊Q8—44no—
738C22⋊Q8—41no—
739C22⋊Q8—41no—
740C22⋊Q8—41no—
741C22⋊Q8—82no—
742#121—22no—
743#121—22no—
744#121—22no—
745#121—22no—
746#121—22no—
747#121—22no—
748#121—22no—
749#121—22no—
750#121—22no—
751#121—22no—
752#121—44no—
753#121—44no—
754#121—44no—
755#121—44no—
756#121—44no—
757#121—41no—
758#121—41no—
759#121—41no—
760#121—41no—
761#121—41no—
762#121—41no—
763#121—41no—
764#121—44no—
765#121—44no—
766#121—44no—
767#121—44no—
768#121—82no—
769#121C2×D414yes—
770#120—82no—
771#120—82no—
772#120—82no—
773#120—82no—
774#120—82no—
775#120—82no—
776#120—82no—
777#120—82no—
778#120—82no—
779C4×Q8—22no—
780C4×Q8—22no—
781C4×Q8—22no—
782C4×Q8—41no—
783C4×Q8—41no—
784C4×Q8—41no—
785C4×D4—22no—
786C4×D4—22no—
787C4×D4—22no—
788C4×D4—22no—
789C4×D4—22no—
790C4×D4—41no—
791C4×D4—41no—
792C4×D4—41no—
793C4×D4—41no—
794C4×D4—41no—
795C4×D4—44no—
796C4×D4—44no—
797C4×D4—44no—
798C4×D4—82no—
799#117—41no—
800#117—41no—
801C2×C4⋊C4—22no—
802C2×C4⋊C4—22no—
803C2×C4⋊C4—22no—
804C2×C4⋊C4—22no—
805C2×C4⋊C4—21no—
806C2×C4⋊C4—21no—
807C2×C4⋊C4—21no—
808C2×C4⋊C4—21no—
809C2×C4⋊C4—21no—
810C2×C4⋊C4—21no—
811C2×C4⋊C4—21no—
812C2×C4⋊C4—21no—
813C2×C4⋊C4—21no—
814C2×C4⋊C4—21no—
815C2×C4⋊C4—21no—
816C2×C4⋊C4—21no—
817C2×C4⋊C4—21no—
818C2×C4⋊C4—21no—
819C2×C4⋊C4—21no—
820C2×C4⋊C4—21no—
821C2×C4⋊C4—41no—
822C2×C4⋊C4—41no—
823C2×C4⋊C4C2×D411yescharacteristic
824C2×C4⋊C4C2×D411yescharacteristic
825C2×C4⋊C4C2×D411yescharacteristic
826C2×C4⋊C4C2411yescharacteristic
827C2×C4⋊C4C2411yescharacteristic
828C2×C4⋊C4C2411yescharacteristic
829C2×C4⋊C4C2411yescharacteristic
830C2×C4⋊C4C2411yescharacteristic
831C2×C4⋊C4C2411yescharacteristic
832C2×C4⋊C4C2411yescharacteristic
833C2×C4⋊C4C2411yescharacteristic
834C2×C4⋊C4C2411yescharacteristic
835C2×C22⋊C4—21no—
836C2×C22⋊C4—21no—
837C2×C22⋊C4—21no—
838C2×C22⋊C4—21no—
839C2×C22⋊C4—21no—
840C2×C22⋊C4—21no—
841C2×C22⋊C4—21no—
842C2×C22⋊C4—21no—
843C2×C22⋊C4—21no—
844C2×C22⋊C4—21no—
845C2×C22⋊C4—21no—
846C2×C22⋊C4—21no—
847C2×C22⋊C4—21no—
848C2×C22⋊C4—21no—
849C2×C22⋊C4—21no—
850C2×C22⋊C4—21no—
851C2×C22⋊C4—21no—
852C2×C22⋊C4—21no—
853C2×C22⋊C4—21no—
854C2×C22⋊C4—21no—
855C2×C22⋊C4—21no—
856C2×C22⋊C4—21no—
857C2×C22⋊C4—21no—
858C2×C22⋊C4—21no—
859C2×C22⋊C4—21no—
860C2×C22⋊C4—21no—
861C2×C22⋊C4—21no—
862C2×C22⋊C4—21no—
863C2×C22⋊C4—21no—
864C2×C22⋊C4—21no—
865C2×C22⋊C4—21no—
866C2×C22⋊C4—21no—
867C2×C22⋊C4—21no—
868C2×C22⋊C4—21no—
869C2×C22⋊C4—21no—
870C2×C22⋊C4—21no—
871C2×C22⋊C4—21no—
872C2×C22⋊C4C2×D411yescharacteristic
873C2×C22⋊C4C2×D411yescharacteristic
874C2×C22⋊C4C2×D411yescharacteristic
875C2×C22⋊C4C2×D411yescharacteristic
876C2×C22⋊C4C2×D411yescharacteristic
877C2×C22⋊C4C2×D411yescharacteristic
878C2×C22⋊C4C2×D411yescharacteristic
879C2×C22⋊C4C2×D411yescharacteristic
880C2×C22⋊C4C2×D411yescharacteristic
881C2×C22⋊C4C2×D411yescharacteristic
882C2×C22⋊C4C2×D411yescharacteristic
883C2×C22⋊C4C2×D411yescharacteristic
884C2×C42—21no—
885C2×C42—21no—
886C2×C42—21no—
887C2×C42—21no—
888C2×C42—21no—
889C2×C42C2411yescharacteristic
890C2×C42C2411yescharacteristic
891C2×C42C2411yescharacteristic
892#107—41no—
893#106—22no—
894#106—22no—
895#106—22no—
896#106—41no—
897#106—41no—
898C4⋊C8—22no—
899C4⋊C8—41no—
900C4⋊C8—41no—
901#103—22no—
902#103—22no—
903#103—22no—
904#103—22no—
905#103—22no—
906#103—41no—
907#103—41no—
908#103—41no—
909#103C2×D414yes—
910#102—22no—
911#102—22no—
912#102—22no—
913#102—22no—
914#102—22no—
915#102—22no—
916#102—22no—
917#102—22no—
918#102—22no—
919#102—22no—
920#102—22no—
921#102—22no—
922#102—22no—
923#102—41no—
924#102—41no—
925#102—41no—
926#102—41no—
927#102—41no—
928#102—41no—
929#102—41no—
930#102—41no—
931#102—41no—
932#102—41no—
933#102—41no—
934#102—41no—
935#102—41no—
936#102C2×D414yes—
937C22⋊C8—22no—
938C22⋊C8—22no—
939C22⋊C8—22no—
940C22⋊C8—22no—
941C22⋊C8—22no—
942C22⋊C8—22no—
943C22⋊C8—41no—
944C22⋊C8—41no—
945C22⋊C8—41no—
946C22⋊C8—41no—
947C22⋊C8C2×D414yes—
948C4×C8—22no—
949C4×C8—41no—
950C4×C8—41no—
951#95—21no—
952#95—21no—
953#95—21no—
954#95—21no—
955#95—21no—
956#95—21no—
957#95—21no—
958#95—21no—
959#95—21no—
960#95—21no—
961#95—21no—
962#95—21no—
963#95—21no—
964#95—21no—
965#95—21no—
966#95—21no—
967#95—21no—
968#95C2×D411yescharacteristic
969#95C2×D411yescharacteristic
970#95C2×D411yescharacteristic
971#95C2×D411yescharacteristic
972#95C2×D411yescharacteristic
973#95C2×D411yescharacteristic
974C24—21no—
975C24—21no—
976C24—21no—
977C24—21no—
978C24—21no—
979C24—42no—
980C24—42no—
981C24—42no—
982C24—42no—
983C24—42no—
984C24—42no—
985C24—42no—
986C24—42no—
987C24—42no—
988C24—81no—
989C24—81no—
990C24—81no—
991C24—81no—
992C24—81no—
993C24—81no—
994C24—81no—
995C24—81no—
996C24—81no—
997C24—81no—
998C24—81no—
999C24—81no—
1000C24C22×D411yescharacteristic
1001C24C22×D411yescharacteristic
1002C24C22×D411yescharacteristic
1003C24C22×D411yescharacteristic
1004#41—28no—
1005#41—28no—
1006#41—44no—
1007#41—44no—
1008#41—44no—
1009#41—44no—
1010#41—44no—
1011#41—44no—
1012#41—44no—
1013#41—44no—
1014#41—44no—
1015#41—44no—
1016#41—44no—
1017#41—44no—
1018#41—44no—
1019#41—44no—
1020#41—44no—
1021#41—432no—
1022#41—44no—
1023#41—44no—
1024#41—82no—
1025#41—82no—
1026#41—82no—
1027#41—82no—
1028#41—82no—
1029#41—816no—
1030C2×Q8—22no—
1031C2×Q8—22no—
1032C2×Q8—21no—
1033C2×Q8—21no—
1034C2×Q8—21no—
1035C2×Q8—21no—
1036C2×Q8—21no—
1037C2×Q8—21no—
1038C2×Q8—21no—
1039C2×Q8—21no—
1040C2×Q8—21no—
1041C2×Q8—41no—
1042C2×Q8—42no—
1043C2×Q8—42no—
1044C2×Q8—81no—
1045C2×Q8C22×D412yes—
1046C2×Q8C2×#4112yes—
1047C2×Q8H(5,𝔽2)12yes—
1048C2×D4—28no—
1049C2×D4—28no—
1050C2×D4—24no—
1051C2×D4—22no—
1052C2×D4—22no—
1053C2×D4—22no—
1054C2×D4—24no—
1055C2×D4—22no—
1056C2×D4—24no—
1057C2×D4—22no—
1058C2×D4—22no—
1059C2×D4—24no—
1060C2×D4—22no—
1061C2×D4—22no—
1062C2×D4—22no—
1063C2×D4—22no—
1064C2×D4—22no—
1065C2×D4—21no—
1066C2×D4—21no—
1067C2×D4—21no—
1068C2×D4—21no—
1069C2×D4—21no—
1070C2×D4—21no—
1071C2×D4—21no—
1072C2×D4—21no—
1073C2×D4—21no—
1074C2×D4—21no—
1075C2×D4—21no—
1076C2×D4—21no—
1077C2×D4—21no—
1078C2×D4—21no—
1079C2×D4—21no—
1080C2×D4—21no—
1081C2×D4—21no—
1082C2×D4—21no—
1083C2×D4—21no—
1084C2×D4—21no—
1085C2×D4—21no—
1086C2×D4—21no—
1087C2×D4—21no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—44no—
1092C2×D4—44no—
1093C2×D4—44no—
1094C2×D4—44no—
1095C2×D4—41no—
1096C2×D4—41no—
1097C2×D4—41no—
1098C2×D4—41no—
1099C2×D4—41no—
1100C2×D4—42no—
1101C2×D4—42no—
1102C2×D4—42no—
1103C2×D4—42no—
1104C2×D4—42no—
1105C2×D4—42no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—42no—
1111C2×D4—42no—
1112C2×D4—42no—
1113C2×D4—44no—
1114C2×D4—44no—
1115C2×D4—41no—
1116C2×D4—41no—
1117C2×D4—42no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—42no—
1125C2×D4—42no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—432no—
1130C2×D4—432no—
1131C2×D4—432no—
1132C2×D4—44no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—42no—
1140C2×D4—42no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—42no—
1149C2×D4—81no—
1150C2×D4—81no—
1151C2×D4—81no—
1152C2×D4—81no—
1153C2×D4—81no—
1154C2×D4—81no—
1155C2×D4—81no—
1156C2×D4—81no—
1157C2×D4—81no—
1158C2×D4—81no—
1159C2×D4—81no—
1160C2×D4—81no—
1161C2×D4—81no—
1162C2×D4—81no—
1163C2×D4—81no—
1164C2×D4—81no—
1165C2×D4—81no—
1166C2×D4—81no—
1167C2×D4—81no—
1168C2×D4—81no—
1169C2×D4—81no—
1170C2×D4—81no—
1171C2×D4—81no—
1172C2×D4—81no—
1173C2×D4—81no—
1174C2×D4—81no—
1175C2×D4—81no—
1176C2×D4C22×D412yes—
1177C2×D4C22×D412yes—
1178C2×D4C2×#4112yes—
1179C2×D4H(5,𝔽2)12yes—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—24no—
1190C22×C4—21no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—21no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—21no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—42no—
1224C22×C4—42no—
1225C22×C4—42no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—81no—
1233C22×C4—81no—
1234C22×C4—81no—
1235C22×C4—81no—
1236C22×C4—81no—
1237C22×C4—81no—
1238C22×C4—81no—
1239C22×C4—81no—
1240C22×C4—81no—
1241C22×C4C22×D411yescharacteristic
1242C22×C4C22×D411yescharacteristic
1243C22×C4C22×D411yescharacteristic
1244C22×C4C22×D411yescharacteristic
1245C22×C4C22×D411yescharacteristic
1246C22×C4C22×D411yescharacteristic
1247C22×C4C22×D412yes—
1248C22×C4C22×D411yescharacteristic
1249C22×C4C22×D411yescharacteristic
1250C22×C4C22×D411yescharacteristic
1251C22×C4C22×D411yescharacteristic
1252C22×C4C2×#4112yes—
1253C22×C4H(5,𝔽2)12yes—
1254C22×C4H(5,𝔽2)12yes—
1255C22×C4C2511yescharacteristic
1256Q16—44no—
1257SD16—28no—
1258SD16—44no—
1259SD16—44no—
1260SD16—44no—
1261SD16—82no—
1262D8—44no—
1263D8—44no—
1264D8—44no—
1265D8—82no—
1266M16—44no—
1267M16—82no—
1268M16—82no—
1269C2×C8—21no—
1270C2×C8—21no—
1271C2×C8—21no—
1272C2×C8—21no—
1273C2×C8—21no—
1274C2×C8—21no—
1275C2×C8—21no—
1276C2×C8—21no—
1277C2×C8—21no—
1278C2×C8—21no—
1279C2×C8—21no—
1280C2×C8—21no—
1281C2×C8—21no—
1282C2×C8—21no—
1283C2×C8—21no—
1284C2×C8—21no—
1285C2×C8—21no—
1286C2×C8—21no—
1287C2×C8—21no—
1288C2×C8—21no—
1289C2×C8—21no—
1290C2×C8—21no—
1291C2×C8—44no—
1292C2×C8—82no—
1293C2×C8C22×D412yes—
1294C2×C8C22×D412yes—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—21no—
1298C4⋊C4—21no—
1299C4⋊C4—21no—
1300C4⋊C4—21no—
1301C4⋊C4—21no—
1302C4⋊C4—21no—
1303C4⋊C4—21no—
1304C4⋊C4—21no—
1305C4⋊C4—21no—
1306C4⋊C4—21no—
1307C4⋊C4—21no—
1308C4⋊C4—21no—
1309C4⋊C4—21no—
1310C4⋊C4—21no—
1311C4⋊C4—21no—
1312C4⋊C4—21no—
1313C4⋊C4—21no—
1314C4⋊C4—41no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—81no—
1326C4⋊C4—81no—
1327C4⋊C4—81no—
1328C4⋊C4—81no—
1329C4⋊C4—81no—
1330C4⋊C4—81no—
1331C4⋊C4C22×D412yes—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—24no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—81no—
1365C22⋊C4—81no—
1366C22⋊C4—81no—
1367C22⋊C4—81no—
1368C22⋊C4—81no—
1369C22⋊C4—81no—
1370C22⋊C4—81no—
1371C22⋊C4—81no—
1372C22⋊C4—81no—
1373C22⋊C4—81no—
1374C22⋊C4—81no—
1375C22⋊C4—81no—
1376C22⋊C4—81no—
1377C22⋊C4—81no—
1378C22⋊C4—81no—
1379C22⋊C4—81no—
1380C22⋊C4—81no—
1381C42—21no—
1382C42—21no—
1383C42—21no—
1384C42—21no—
1385C42—21no—
1386C42—21no—
1387C42—42no—
1388C42—42no—
1389C42—42no—
1390C42—81no—
1391C42—81no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—22no—
1407C23—21no—
1408C23—21no—
1409C23—22no—
1410C23—21no—
1411C23—22no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—22no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—48no—
1423C23—48no—
1424C23—48no—
1425C23—41no—
1426C23—41no—
1427C23—41no—
1428C23—41no—
1429C23—41no—
1430C23—41no—
1431C23—41no—
1432C23—41no—
1433C23—41no—
1434C23—41no—
1435C23—41no—
1436C23—41no—
1437C23—41no—
1438C23—41no—
1439C23—41no—
1440C23—41no—
1441C23—41no—
1442C23—41no—
1443C23—41no—
1444C23—41no—
1445C23—41no—
1446C23—41no—
1447C23—41no—
1448C23—41no—
1449C23—41no—
1450C23—41no—
1451C23—41no—
1452C23—41no—
1453C23—41no—
1454C23—41no—
1455C23—41no—
1456C23—162no—
1457C23—162no—
1458C23—162no—
1459C23—162no—
1460C23—162no—
1461C23—162no—
1462C23—162no—
1463C23—162no—
1464C23—162no—
1465C23—162no—
1466C23—162no—
1467C23—162no—
1468C23—162no—
1469C23—162no—
1470C23—162no—
1471C23—162no—
1472C23—162no—
1473C23—162no—
1474C23D4212yes—
1475C23#54612yes—
1476C23C23×D411yescharacteristic
1477Q8—22no—
1478Q8—22no—
1479Q8—22no—
1480Q8—44no—
1481Q8—41no—
1482Q8—41no—
1483Q8—41no—
1484Q8—41no—
1485Q8—84no—
1486Q8#54614yes—
1487D4—22no—
1488D4—22no—
1489D4—22no—
1490D4—22no—
1491D4—22no—
1492D4—22no—
1493D4—22no—
1494D4—22no—
1495D4—44no—
1496D4—44no—
1497D4—44no—
1498D4—44no—
1499D4—48no—
1500D4—48no—
1501D4—48no—
1502D4—48no—
1503D4—48no—
1504D4—44no—
1505D4—48no—
1506D4—41no—
1507D4—41no—
1508D4—41no—
1509D4—41no—
1510D4—41no—
1511D4—41no—
1512D4—41no—
1513D4—41no—
1514D4—41no—
1515D4—41no—
1516D4—41no—
1517D4—41no—
1518D4—82no—
1519D4—84no—
1520D4—84no—
1521D4—84no—
1522D4—84no—
1523D4—84no—
1524D4—84no—
1525D4—84no—
1526D4—162no—
1527D4—162no—
1528D4—162no—
1529D4—162no—
1530D4—162no—
1531D4—162no—
1532D4—162no—
1533D4—162no—
1534D4—162no—
1535D4—162no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—48no—
1574C2×C4—48no—
1575C2×C4—48no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—41no—
1608C2×C4—41no—
1609C2×C4—41no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—41no—
1613C2×C4—84no—
1614C2×C4—84no—
1615C2×C4—84no—
1616C2×C4—84no—
1617C2×C4—84no—
1618C2×C4—162no—
1619C2×C4—162no—
1620C2×C4D4212yes—
1621C2×C4#54612yes—
1622C2×C4#57612yes—
1623C2×C4#57712yes—
1624C2×C4#57712yes—
1625C2×C4C23×D411yescharacteristic
1626C2×C4C22×#4111yescharacteristic
1627C2×C4C2×H(5,𝔽2)11yescharacteristic
1628C2×C4C2×H(5,𝔽2)11yescharacteristic
1629C2×C4C2×H(5,𝔽2)11yescharacteristic
1630C2×C4C2×H(5,𝔽2)11yescharacteristic
1631C8—22no—
1632C8—22no—
1633C8—41no—
1634C8—41no—
1635C8—41no—
1636C8—41no—
1637C8—41no—
1638C8—41no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—42no—
1655C22—41no—
1656C22—41no—
1657C22—42no—
1658C22—41no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—41no—
1663C22—41no—
1664C22—42no—
1665C22—41no—
1666C22—42no—
1667C22—42no—
1668C22—41no—
1669C22—41no—
1670C22—42no—
1671C22—41no—
1672C22—42no—
1673C22—41no—
1674C22—41no—
1675C22—42no—
1676C22—41no—
1677C22—41no—
1678C22—42no—
1679C22—81no—
1680C22—81no—
1681C22—81no—
1682C22—81no—
1683C22—81no—
1684C22—81no—
1685C22—81no—
1686C22—81no—
1687C22—81no—
1688C22—81no—
1689C22—81no—
1690C22—81no—
1691C22—81no—
1692C22—81no—
1693C22—81no—
1694C22—81no—
1695C22—81no—
1696C22—81no—
1697C22—81no—
1698C22—81no—
1699C22—81no—
1700C22—81no—
1701C22—81no—
1702C22—168no—
1703C22—168no—
1704C22—168no—
1705C22C2×D4211yescharacteristic
1706C22C2×#54611yescharacteristic
1707C22#348411yescharacteristic
1708C22C2×#57611yescharacteristic
1709C22C2×#57711yescharacteristic
1710C22C2×#57711yescharacteristic
1711C22#358511yescharacteristic
1712C4—22no—
1713C4—22no—
1714C4—22no—
1715C4—24no—
1716C4—22no—
1717C4—22no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—42no—
1722C4—41no—
1723C4—41no—
1724C4—81no—
1725C4—81no—
1726C4—81no—
1727C4—81no—
1728C4—81no—
1729C4—81no—
1730C4—81no—
1731C4—81no—
1732C4—81no—
1733C4C2×#54611yescharacteristic
1734C4#348411yescharacteristic
1735C4#349011yescharacteristic
1736C4#353211yescharacteristic
1737C2—42no—
1738C2—42no—
1739C2—81no—
1740C2—81no—
1741C2—82no—
1742C2—82no—
1743C2—82no—
1744C2—82no—
1745C2—161no—
1746C2#5899111yescharacteristic
1747C2#6107211yescharacteristic
1748C2#6108711yescharacteristic
1749C2#6119211yescharacteristic
1750C2#6121511yescharacteristic
1751C2#6162311yescharacteristic
1752C2#6166811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2388 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3332C2semidirect
2. C2×#3012C2semidirect
3. #44869C2semidirect
4. #36091C2semidirect
5. #31024C2semidirect
6. #30984C2semidirect
7. #30527C2semidirect
8. #30412C2semidirect
9. #28332C2semidirect
10. #27254C2semidirect
11. #27233C2semidirect
12. #25967C2semidirect
13. #25136C2semidirect
14. #25097C2semidirect
15. #24896C2semidirect
16. #24865C2semidirect
17. #24568C2semidirect
18. #24546C2semidirect
19. #24443C2semidirect
20. #24427C2semidirect
21. #24397C2semidirect
22. #24372C2semidirect
23. #24277C2semidirect
24. #24238C2semidirect
25. #23960C2semidirect
26. #23857C2semidirect
27. #22877C2semidirect
28. #22853C2semidirect
29. #22449C2semidirect
30. #22432C2semidirect
31. #20602C2semidirect
38. C2×#547C22semidirect
41. C2×#486C22semidirect
42. C2×#481C22semidirect
43. C2×#481C22semidirect
44. C2×#475C22semidirect
45. C2×#469C22semidirect
46. C2×#469C22semidirect
47. C2×#468C22semidirect
48. C2×#465C22semidirect
49. C2×#459C22semidirect
50. C2×#459C22semidirect
54. C2×#452C22semidirect
57. C2×#449C22semidirect
58. C2×#449C22semidirect
63. C2×C4×SD16C22semidirect
64. C2×C4×SD16C22semidirect
65. C2×#436C22semidirect
66. C2×#436C22semidirect
69. C2×#417C22semidirect
83. #2537C22semidirect
84. #2502C22semidirect
85. #2492C22semidirect
87. #2440C22semidirect
95. #2422C22semidirect
96. #2417C22semidirect
97. #2415C22semidirect
105. #2407C22semidirect
108. #2363C22semidirect
109. D4×C4⋊C4C22semidirect
113. #2339C22semidirect
115. #2094C22semidirect
116. #2094C22semidirect
117. #2077C22semidirect
118. #2077C22semidirect
119. #2071C22semidirect
120. #2071C22semidirect
121. #2067C22semidirect
122. #2065C22semidirect
123. #2055C22semidirect
124. #2055C22semidirect
125. #2055C22semidirect
126. #2054C22semidirect
127. #2041C22semidirect
128. #2041C22semidirect
129. #2035C22semidirect
130. #2034C22semidirect
131. #2034C22semidirect
132. #2034C22semidirect
133. #2034C22semidirect
134. #2033C22semidirect
135. #2023C22semidirect
136. #2023C22semidirect
137. #2014C22semidirect
138. #2014C22semidirect
139. #2014C22semidirect
140. #2011C22semidirect
141. #2000C22semidirect
142. #2000C22semidirect
143. #2000C22semidirect
144. #1999C22semidirect
145. #1999C22semidirect
146. #1999C22semidirect
147. #1982C22semidirect
148. #1970C22semidirect
149. #1968C22semidirect
150. #1968C22semidirect
151. #1968C22semidirect
152. #1957C22semidirect
153. #1957C22semidirect
154. #1954C22semidirect
155. #1934C22semidirect
156. #1934C22semidirect
157. #1926C22semidirect
158. #1926C22semidirect
159. #1923C22semidirect
160. #1923C22semidirect
161. #1895C22semidirect
162. #1895C22semidirect
163. #1894C22semidirect
164. #1893C22semidirect
165. #1893C22semidirect
166. #1880C22semidirect
167. #1879C22semidirect
168. #1879C22semidirect
169. #1879C22semidirect
170. #1879C22semidirect
171. #1878C22semidirect
172. #1878C22semidirect
173. #1878C22semidirect
174. #1875C22semidirect
175. #1874C22semidirect
176. #1874C22semidirect
177. #1874C22semidirect
178. #1870C22semidirect
179. #1869C22semidirect
180. #1869C22semidirect
181. #1865C22semidirect
182. #1863C22semidirect
183. #1854C22semidirect
184. #1853C22semidirect
185. #1851C22semidirect
186. #1851C22semidirect
187. #1823C22semidirect
188. #1809C22semidirect
189. #1807C22semidirect
190. #1803C22semidirect
191. #1803C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
202. C4×#103C22semidirect
203. C8×C22⋊C4C22semidirect
204. C8×C22⋊C4C22semidirect
334. #449D4semidirect
584. C2×#41#41semidirect

Maximal subgroups

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

subgroupindex
C2×#33322
C2×#30122
#448692
#360912
#310242
#309842
#305272
#304122
#283322
#272542
#272332
#259672
#251362
#250972
#248962
#248652
#245682
#245462
#244432
#244272
#243972
#243722
#242772
#242382
#239602
#238572
#228772
#228532
#224492
#224322
#206022