Finite Group Databasebeta

← #6512860

Subgroups — #6512860

Order 512.

3581 conjugacy classes of subgroups.

The subgroup lattice has 1835 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3543C211yesmaximal, characteristic, complemented
2C2×#3119C211yesmaximal, characteristic, complemented
3C2×#3045C211yesmaximal, characteristic, complemented
4#35521C211yesmaximal, characteristic, complemented
5#24259C211yesmaximal, characteristic, complemented
6#24248C211yesmaximal, characteristic, complemented
7#24245C211yesmaximal, characteristic, complemented
8#24240C211yesmaximal, characteristic, complemented
9#24220C211yesmaximal, characteristic, complemented
10#24218C211yesmaximal, characteristic, complemented
11#24211C211yesmaximal, characteristic, complemented
12#24208C211yesmaximal, characteristic, complemented
13#24204C211yesmaximal, characteristic, complemented
14#24200C211yesmaximal, characteristic, complemented
15#24194C211yesmaximal, characteristic, complemented
16#24184C211yesmaximal, characteristic, complemented
17#24164C211yesmaximal, characteristic, complemented
18#24162C211yesmaximal, characteristic, complemented
19#24161C211yesmaximal, characteristic, complemented
20#24158C211yesmaximal, characteristic, complemented
21#24049C211yesmaximal, characteristic, complemented
22#24045C211yesmaximal, characteristic, complemented
23#24033C211yesmaximal, characteristic, complemented
24#24032C211yesmaximal, characteristic, complemented
25#23860C211yesmaximal, characteristic, complemented
26#23860C211yesmaximal, characteristic, complemented
27#23857C211yesmaximal, characteristic, complemented
28#23850C211yesmaximal, characteristic, complemented
29#21897C211yesmaximal, characteristic, complemented
30#21855C211yesmaximal, characteristic, complemented
31#21813C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C22×#135C2211yescharacteristic, complemented
34#3543—28no—
35#3543—28no—
36C2×#560—21no—
37C2×#560—21no—
38C2×#559C2211yescharacteristic
39C2×#550C2211yescharacteristic
40C2×#550C2211yescharacteristic
41C2×#546—21no—
42C2×#546C2211yescharacteristic
43C2×#546C2211yescharacteristic
44C2×D42—21no—
45C2×D42C2211yescharacteristic
46C2×D42C2211yescharacteristic
47C2×D42C2211yescharacteristic
48C2×#540—21no—
49C2×#540C2211yescharacteristic
50C2×#540C2211yescharacteristic
51C2×#535—21no—
52C2×#535C2211yescharacteristic
53C2×#535C2211yescharacteristic
54C2×#534—21no—
55C2×#534—21no—
56C22×#127C2211yescharacteristic
57C2×#529C2211yescharacteristic
58C2×#529C2211yescharacteristic
59C2×#520C2211yescharacteristic, complemented
60#3119—28no—
61C2×#481C2211yescharacteristic, complemented
62C2×#480C2211yescharacteristic, complemented
63C2×#479C2211yescharacteristic, complemented
64C2×#478C2211yescharacteristic, complemented
65#3045—28no—
66C2×#464C2211yescharacteristic, complemented
67C2×#464C2211yescharacteristic, complemented
68C2×#460C2211yescharacteristic, complemented
69C2×#460C2211yescharacteristic, complemented
70C2×#460C2211yescharacteristic, complemented
71C2×#463C2211yescharacteristic, complemented
72C2×#463C2211yescharacteristic, complemented
73C2×#459C2211yescharacteristic, complemented
74C2×#459C2211yescharacteristic, complemented
75C2×#459C2211yescharacteristic, complemented
76C2×#452C2211yescharacteristic, complemented
77C2×#449C2211yescharacteristic, complemented
78C2×#449C2211yescharacteristic, complemented
79C2×#449C2211yescharacteristic, complemented
80C2×#450C2211yescharacteristic, complemented
81C2×#450C2211yescharacteristic, complemented
82C2×#450C2211yescharacteristic, complemented
83C2×#447C2211yescharacteristic, complemented
84C2×#447C2211yescharacteristic, complemented
85C2×#447C2211yescharacteristic, complemented
86C2×#442C2211yescharacteristic, complemented
87C2×#440C2211yescharacteristic, complemented
88C2×C4×SD16C2211yescharacteristic, complemented
89C2×C4×D8C2211yescharacteristic, complemented
90C2×#433C2211yescharacteristic, complemented
91C2×#424C2211yescharacteristic, complemented
92C2×#417C2211yescharacteristic, complemented
93C22×#102C2211yescharacteristic, complemented
94#2581C2211yescharacteristic, complemented
95#2538C2211yescharacteristic, complemented
96#2538C2211yescharacteristic, complemented
97#2535C2211yescharacteristic, complemented
98#2487C2211yescharacteristic, complemented
99#2486C2211yescharacteristic, complemented
100#2481—21no—
101#2475—21no—
102#2471—21no—
103#2466—21no—
104#2461—21no—
105#2457—21no—
106#2456—21no—
107#2449—21no—
108#2407C2211yescharacteristic, complemented
109#2407C2211yescharacteristic, complemented
110#2324C2211yescharacteristic, complemented
111#2323C2211yescharacteristic, complemented
112#2314C2211yescharacteristic, complemented
113C4×C22⋊Q8C2211yescharacteristic, complemented
114C4×#121C2211yescharacteristic, complemented
115#2042C2211yescharacteristic, complemented
116#2042C2211yescharacteristic, complemented
117#2041C2211yescharacteristic
118#2041C2211yescharacteristic
119#2041C2211yescharacteristic, complemented
120#2041C2211yescharacteristic, complemented
121#2041C2211yescharacteristic, complemented
122#2041C2211yescharacteristic, complemented
123#2036C2211yescharacteristic, complemented
124#2036C2211yescharacteristic, complemented
125#2034C2211yescharacteristic
126#2034C2211yescharacteristic
127#2034C2211yescharacteristic, complemented
128#2034C2211yescharacteristic, complemented
129#2033C2211yescharacteristic, complemented
130#2033C2211yescharacteristic, complemented
131#2015C2211yescharacteristic, complemented
132#2014C2211yescharacteristic
133#2014C2211yescharacteristic, complemented
134#2014C2211yescharacteristic, complemented
135#2012C2211yescharacteristic, complemented
136#2011C2211yescharacteristic
137#2011C2211yescharacteristic, complemented
138#2011C2211yescharacteristic, complemented
139#2001C2211yescharacteristic, complemented
140#2000C2211yescharacteristic
141#2000C2211yescharacteristic, complemented
142#2000C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#1999C2211yescharacteristic
145#1999C2211yescharacteristic, complemented
146#1999C2211yescharacteristic, complemented
147#1989C2211yescharacteristic, complemented
148#1989C2211yescharacteristic, complemented
149#1985C2211yescharacteristic, complemented
150#1984C2211yescharacteristic, complemented
151#1983C2211yescharacteristic, complemented
152#1983C2211yescharacteristic, complemented
153#1982C2211yescharacteristic, complemented
154#1982C2211yescharacteristic, complemented
155#1982C2211yescharacteristic, complemented
156#1982C2211yescharacteristic, complemented
157#1961C2211yescharacteristic, complemented
158#1959C2211yescharacteristic, complemented
159#1958C2211yescharacteristic, complemented
160#1957C2211yescharacteristic, complemented
161#1955C2211yescharacteristic, complemented
162#1954C2211yescharacteristic, complemented
163#1895C2211yescharacteristic, complemented
164#1895C2211yescharacteristic, complemented
165#1893C2211yescharacteristic, complemented
166#1893C2211yescharacteristic, complemented
167#1880C2211yescharacteristic, complemented
168#1879C2211yescharacteristic, complemented
169#1879C2211yescharacteristic, complemented
170#1879C2211yescharacteristic, complemented
171#1878C2211yescharacteristic, complemented
172#1877C2211yescharacteristic, complemented
173#1877C2211yescharacteristic, complemented
174#1877C2211yescharacteristic, complemented
175#1870C2211yescharacteristic, complemented
176#1870C2211yescharacteristic, complemented
177#1869C2211yescharacteristic, complemented
178#1869C2211yescharacteristic, complemented
179#1865C2211yescharacteristic, complemented
180#1865C2211yescharacteristic, complemented
181#1864C2211yescharacteristic, complemented
182#1864C2211yescharacteristic, complemented
183#1862C2211yescharacteristic, complemented
184#1862C2211yescharacteristic, complemented
185#1862C2211yescharacteristic, complemented
186#1862C2211yescharacteristic, complemented
187#1804C2211yescharacteristic, complemented
188#1804C2211yescharacteristic, complemented
189#1802C2211yescharacteristic, complemented
190#1802C2211yescharacteristic, complemented
191#1798C2211yescharacteristic, complemented
192#1798C2211yescharacteristic, complemented
193#1797C2211yescharacteristic, complemented
194#1797C2211yescharacteristic, complemented
195#1788C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1786C2211yescharacteristic, complemented
202#1786C2211yescharacteristic, complemented
203#1786C2211yescharacteristic, complemented
204#1786C2211yescharacteristic, complemented
205#1786C2211yescharacteristic, complemented
206#1786C2211yescharacteristic, complemented
207C22×#41—21no—
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C22×#41C2311yescharacteristic
211C23×D4—21no—
212C23×D4—21no—
213C23×D4—21no—
214C23×D4—21no—
215C23×D4—21no—
216C23×D4C2311yescharacteristic
217C23×D4C2311yescharacteristic
218C23×D4C2311yescharacteristic
219C23×D4C2311yescharacteristic
220C2×AGL(1,ℤ/8)—24no—
221C2×AGL(1,ℤ/8)—42no—
222C2×AGL(1,ℤ/8)—42no—
223C2×#135—24no—
224C2×#135—42no—
225C2×#135—42no—
226C22×Q16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C22×SD16C2311yescharacteristic
229C22×SD16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×SD16C2311yescharacteristic
232C22×SD16C2311yescharacteristic
233C22×D8C2311yescharacteristic
234C22×D8C2311yescharacteristic
235C22×D8C2311yescharacteristic
236C22×D8C2311yescharacteristic
237C22×D8C2311yescharacteristic
238C22×M16C2311yescharacteristic
239C23×C8C2311yescharacteristic
240#560—216no—
241#560—216no—
242#559—24no—
243#559—24no—
244#550—24no—
245#550—24no—
246#550—24no—
247#550—24no—
248#546—216no—
249#546—24no—
250#546—24no—
251#546—24no—
252#546—24no—
253D42—216no—
254D42—24no—
255D42—24no—
256D42—24no—
257D42—24no—
258D42—24no—
259D42—24no—
260#540—216no—
261#540—24no—
262#540—24no—
263#540—24no—
264#540D418yescomplemented
265#535—216no—
266#535—24no—
267#535—24no—
268#535—24no—
269#535D418yescomplemented
270#534—216no—
271#534—216no—
272C2×#127—21no—
273C2×#127—24no—
274C2×#127—24no—
275C2×#127—21no—
276C2×#127—21no—
277C2×#127C2311yescharacteristic
278C2×#127C2311yescharacteristic
279C2×#127C2311yescharacteristic
280C2×#127C2311yescharacteristic
281C2×#127C2311yescharacteristic
282C2×#127C2311yescharacteristic
283#529—24no—
284#529—24no—
285#529—24no—
286#529—24no—
287C2×#126—21no—
288C2×#126D411yescharacteristic
289C2×#126D411yescharacteristic
290C2×#125D411yescharacteristic
291C2×#125C2311yescharacteristic
292C2×#124—21no—
293C2×#124D411yescharacteristic
294C2×#124C2311yescharacteristic
295C2×#124C2311yescharacteristic
296C2×#124C2311yescharacteristic
297C2×#123—21no—
298C2×#123—21no—
299C2×#123—21no—
300C2×#123—21no—
301C2×#123—21no—
302C2×#123—21no—
303C2×#123—21no—
304C2×#123—21no—
305C2×#123—21no—
306C2×#123—21no—
307C2×#123D411yescharacteristic
308C2×#123D411yescharacteristic
309C2×C22⋊Q8—21no—
310C2×C22⋊Q8D411yescharacteristic
311C2×C22⋊Q8C2311yescharacteristic
312C2×C22⋊Q8C2311yescharacteristic
313C2×C22⋊Q8C2311yescharacteristic
314C2×#121—21no—
315C2×#121—21no—
316C2×#121—21no—
317C2×#121—21no—
318C2×#121—21no—
319C2×#121—21no—
320C2×#121—21no—
321C2×#121—21no—
322C2×#121—21no—
323C2×#121—21no—
324C2×#121—21no—
325C2×#121—21no—
326C2×#121—21no—
327C2×#121—21no—
328C2×#121—21no—
329C2×#121—21no—
330C2×#121—21no—
331C2×#121—21no—
332C2×#121D411yescharacteristic
333C2×#121C2311yescharacteristic
334C2×#121C2311yescharacteristic
335C2×#121C2311yescharacteristic
336C2×#121C2311yescharacteristic
337C2×#121C2311yescharacteristic
338C2×#121C2311yescharacteristic
339C2×#121C2311yescharacteristic
340C2×#120—21no—
341C2×#120—21no—
342C2×#120—21no—
343C2×#120—21no—
344C2×#120—21no—
345C2×#120—21no—
346C2×#120—21no—
347C2×#120—21no—
348C2×#120—21no—
349C2×#120—21no—
350C2×#120—21no—
351C2×#120—21no—
352#520—24no—
353#520—24no—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×D4—21no—
359C2×C4×D4—21no—
360C2×C4×D4—21no—
361C2×C4×D4—21no—
362C2×C4×D4—21no—
363C2×C4×D4—21no—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×#117—21no—
375C2×#117—21no—
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C22×C4⋊C4—21no—
379C22×C4⋊C4C2311yescharacteristic
380C22×C22⋊C4—21no—
381C22×C22⋊C4—21no—
382C22×C42C2311yescharacteristic
383#481—24no—
384#480—24no—
385#479—24no—
386#478—24no—
387#464—24no—
388#464—24no—
389#463—24no—
390#463—24no—
391#460—24no—
392#460—24no—
393#460—24no—
394#459—24no—
395#459—24no—
396#459—24no—
397#452—42no—
398#450—42no—
399#450—42no—
400#450—42no—
401#449—24no—
402#449—24no—
403#449—42no—
404#447—42no—
405#447—42no—
406#447—42no—
407#442—24no—
408#440—24no—
409C4×SD16—24no—
410C4×D8—24no—
411#433—24no—
412C2×#107C2311yescharacteristic
413C2×#107C2311yescharacteristic
414C2×#106C2311yescharacteristic
415C2×#106C2311yescharacteristic
416#424—24no—
417C2×C4⋊C8C2311yescharacteristic
418C2×C4⋊C8C2311yescharacteristic
419C2×C4⋊C8C2311yescharacteristic
420C2×C4⋊C8C2311yescharacteristic
421C2×C4⋊C8C2311yescharacteristic
422C2×C4⋊C8C2311yescharacteristic
423#417—24no—
424C2×#103C2311yescharacteristic
425C2×#103C2311yescharacteristic
426C2×#103C2311yescharacteristic
427C2×#103C2311yescharacteristic
428C2×#103C2311yescharacteristic
429C2×#103C2311yescharacteristic
430C2×#103C2311yescharacteristic
431C2×#103C2311yescharacteristic
432C2×#102—24no—
433C2×#102C2311yescharacteristic
434C2×#102C2311yescharacteristic
435C2×#102C2311yescharacteristic
436C2×#102C2311yescharacteristic
437C2×#102C2311yescharacteristic
438C2×#102C2311yescharacteristic
439C2×#102C2311yescharacteristic
440C2×#102C2311yescharacteristic
441C2×#102C2311yescharacteristic
442C2×#102C2311yescharacteristic
443C2×#102C2311yescharacteristic
444C2×#102C2311yescharacteristic
445C2×#102C2311yescharacteristic
446C2×#102C2311yescharacteristic
447C2×#102C2311yescharacteristic
448C2×#102C2311yescharacteristic
449C2×#102C2311yescharacteristic
450C2×#102C2311yescharacteristic
451C2×#102C2311yescharacteristic
452C2×#102C2311yescharacteristic
453C2×#102C2311yescharacteristic
454C2×#102C2311yescharacteristic
455C2×#102C2311yescharacteristic
456C2×#102C2311yescharacteristic
457C2×#102C2311yescharacteristic
458C2×#102C2311yescharacteristic
459C2×#102C2311yescharacteristic
460C2×#102C2311yescharacteristic
461C2×#102C2311yescharacteristic
462C2×#102C2311yescharacteristic
463C2×#102C2311yescharacteristic
464C2×#102C2311yescharacteristic
465C2×C22⋊C8C2311yescharacteristic
466C2×C22⋊C8C2311yescharacteristic
467C2×C22⋊C8C2311yescharacteristic
468C2×C22⋊C8C2311yescharacteristic
469C2×C22⋊C8C2311yescharacteristic
470C2×C22⋊C8C2311yescharacteristic
471C2×C22⋊C8C2311yescharacteristic
472C2×C22⋊C8C2311yescharacteristic
473C2×C22⋊C8C2311yescharacteristic
474C2×C22⋊C8C2311yescharacteristic
475C2×#97C2311yescharacteristic
476C2×C4×C8C2311yescharacteristic
477#400—21no—
478#400—21no—
479#399—21no—
480#398—21no—
481#397—21no—
482#397—21no—
483#396—21no—
484#396—21no—
485#396—21no—
486#396—21no—
487#395—21no—
488#394—21no—
489#394—21no—
490#392—21no—
491#392—21no—
492#392—21no—
493#391C2311yescharacteristic
494#391C2311yescharacteristic
495#390—21no—
496#390—21no—
497#390C2311yescharacteristic
498#390C2311yescharacteristic
499#389—21no—
500#389—21no—
501#389C2311yescharacteristic
502#389C2311yescharacteristic
503#389C2311yescharacteristic
504#389C2311yescharacteristic
505#388—21no—
506#388—21no—
507#388—21no—
508#388—21no—
509#388—21no—
510#388—21no—
511#387—21no—
512#387—21no—
513#387—21no—
514#387—21no—
515#387—21no—
516#387—21no—
517#386—21no—
518#386—21no—
519#386—21no—
520#386—21no—
521#386—21no—
522#386—21no—
523#386—21no—
524#385—21no—
525#385—21no—
526#385—21no—
527#385—21no—
528#385—21no—
529#384C2311yescharacteristic
530#382C2311yescharacteristic
531#381—21no—
532#380—21no—
533#380C2311yescharacteristic
534#380C2311yescharacteristic
535#380C2311yescharacteristic
536#380C2311yescharacteristic
537#380C2311yescharacteristic
538#380C2311yescharacteristic
539C4×C4⋊C4—21no—
540C4×C4⋊C4C2311yescharacteristic
541C4×C4⋊C4C2311yescharacteristic
542C4×C22⋊C4—21no—
543C4×C22⋊C4—21no—
544#340C2311yescharacteristic
545#340C2311yescharacteristic
546#340C2311yescharacteristic
547#340C2311yescharacteristic
548#340C2311yescharacteristic
549#340C2311yescharacteristic
550#340C2311yescharacteristic
551#340C2311yescharacteristic
552#336C2311yescharacteristic
553#336C2311yescharacteristic
554#336C2311yescharacteristic
555#336C2311yescharacteristic
556#336C2311yescharacteristic
557#336C2311yescharacteristic
558#336C2311yescharacteristic
559#336C2311yescharacteristic
560C25—21no—
561C25—21no—
562C25—21no—
563C25—21no—
564C2×#41—28no—
565C2×#41—22no—
566C2×#41—22no—
567C2×#41—22no—
568C2×#41—22no—
569C2×#41—22no—
570C2×#41—22no—
571C2×#41—22no—
572C2×#41—41no—
573C2×#41—41no—
574C2×#41—41no—
575C2×#41—41no—
576C2×#41—41no—
577C2×#41—41no—
578C2×#41—41no—
579C2×#41—41no—
580C2×#41—41no—
581C2×#41—41no—
582C2×#41—82no—
583C2×#41—82no—
584C2×#41C2×D414yes—
585C22×Q8C2×D411yescharacteristic
586C22×Q8C2411yescharacteristic
587C22×Q8C2411yescharacteristic
588C22×D4—21no—
589C22×D4—28no—
590C22×D4—28no—
591C22×D4—28no—
592C22×D4—28no—
593C22×D4—28no—
594C22×D4—21no—
595C22×D4—21no—
596C22×D4—21no—
597C22×D4—21no—
598C22×D4—21no—
599C22×D4—21no—
600C22×D4—22no—
601C22×D4—22no—
602C22×D4—22no—
603C22×D4—22no—
604C22×D4—22no—
605C22×D4—22no—
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—21no—
622C22×D4—21no—
623C22×D4—21no—
624C22×D4—21no—
625C22×D4—22no—
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—41no—
636C22×D4—41no—
637C22×D4—41no—
638C22×D4—41no—
639C22×D4—41no—
640C22×D4—41no—
641C22×D4—41no—
642C22×D4—82no—
643C22×D4—82no—
644C22×D4—82no—
645C22×D4—82no—
646C22×D4—82no—
647C22×D4—82no—
648C22×D4—82no—
649C22×D4—82no—
650C22×D4—82no—
651C22×D4—82no—
652C22×D4C2×D411yescharacteristic
653C22×D4C2×D411yescharacteristic
654C22×D4C2×D411yescharacteristic
655C22×D4C2×D414yes—
656C22×D4C2411yescharacteristic
657C22×D4C2411yescharacteristic
658C22×D4C2411yescharacteristic
659C22×D4C2411yescharacteristic
660C22×D4C2411yescharacteristic
661C22×D4C2411yescharacteristic
662C23×C4—21no—
663C23×C4—21no—
664C23×C4—21no—
665C23×C4—21no—
666C23×C4—21no—
667C23×C4—21no—
668C23×C4—21no—
669C23×C4—21no—
670C23×C4—21no—
671C23×C4—21no—
672C23×C4—21no—
673C23×C4C2×D411yescharacteristic
674C23×C4C2×D411yescharacteristic
675C23×C4C2411yescharacteristic
676C23×C4C2411yescharacteristic
677C23×C4C2411yescharacteristic
678AGL(1,ℤ/8)—416no—
679#135—416no—
680C2×Q16—22no—
681C2×Q16—22no—
682C2×Q16—41no—
683C2×SD16—22no—
684C2×SD16—22no—
685C2×SD16—22no—
686C2×SD16—22no—
687C2×SD16—22no—
688C2×SD16—22no—
689C2×SD16—22no—
690C2×SD16—22no—
691C2×SD16—22no—
692C2×SD16—22no—
693C2×SD16—22no—
694C2×SD16—22no—
695C2×SD16—41no—
696C2×SD16—41no—
697C2×SD16—41no—
698C2×SD16—41no—
699C2×SD16—41no—
700C2×SD16—41no—
701C2×D8—22no—
702C2×D8—22no—
703C2×D8—22no—
704C2×D8—22no—
705C2×D8—22no—
706C2×D8—22no—
707C2×D8—22no—
708C2×D8—22no—
709C2×D8—22no—
710C2×D8—22no—
711C2×D8—41no—
712C2×D8—41no—
713C2×D8—41no—
714C2×D8—41no—
715C2×D8—41no—
716C2×M16—22no—
717C2×M16—41no—
718C2×M16—41no—
719C22×C8—22no—
720C22×C8—41no—
721C22×C8—41no—
722C22×C8C2411yescharacteristic
723C22×C8C2411yescharacteristic
724C22×C8C2411yescharacteristic
725C22×C8C2411yescharacteristic
726C22×C8C2411yescharacteristic
727C22×C8C2411yescharacteristic
728C22×C8C2411yescharacteristic
729C22×C8C2411yescharacteristic
730#127—28no—
731#127—28no—
732#127—28no—
733#127—22no—
734#127—22no—
735#127—22no—
736#127—22no—
737#127—22no—
738#127—22no—
739#127—22no—
740#127—22no—
741#127—22no—
742#127C2×D414yes—
743#127C2×D414yes—
744#127C2×D414yes—
745#126—28no—
746#126—24no—
747#126—24no—
748#125—24no—
749#125—22no—
750#125C2×D414yes—
751#124—28no—
752#124—22no—
753#124—22no—
754#124—24no—
755#124—22no—
756#124—22no—
757#124C2×D414yes—
758#124C2×D414yes—
759#123—28no—
760#123—28no—
761#123—28no—
762#123—28no—
763#123—28no—
764#123—28no—
765#123—28no—
766#123—28no—
767#123—28no—
768#123—24no—
769#123—24no—
770#123—82no—
771C22⋊Q8—22no—
772C22⋊Q8—24no—
773C22⋊Q8—22no—
774C22⋊Q8—22no—
775C22⋊Q8—22no—
776C22⋊Q8—41no—
777C22⋊Q8—41no—
778C22⋊Q8—82no—
779#121—28no—
780#121—28no—
781#121—28no—
782#121—28no—
783#121—28no—
784#121—28no—
785#121—28no—
786#121—28no—
787#121—28no—
788#121—28no—
789#121—28no—
790#121—28no—
791#121—28no—
792#121—28no—
793#121—22no—
794#121—22no—
795#121—22no—
796#121—22no—
797#121—22no—
798#121—28no—
799#121—28no—
800#121—22no—
801#121—22no—
802#121—22no—
803#121—28no—
804#121—28no—
805#121—24no—
806#121—22no—
807#121—22no—
808#121—41no—
809#121—41no—
810#121C2×D414yes—
811#121C2×D414yes—
812#120—28no—
813#120—28no—
814#120—28no—
815#120—28no—
816#120—28no—
817#120—28no—
818#120—28no—
819#120—28no—
820#120—28no—
821#120—28no—
822#120—28no—
823#120—28no—
824C4×Q8—22no—
825C4×Q8—22no—
826C4×Q8—22no—
827C4×Q8—22no—
828C4×Q8—22no—
829C4×Q8—22no—
830C4×Q8—22no—
831C4×Q8—22no—
832C4×D4—28no—
833C4×D4—28no—
834C4×D4—28no—
835C4×D4—22no—
836C4×D4—22no—
837C4×D4—22no—
838C4×D4—22no—
839C4×D4—22no—
840C4×D4—22no—
841C4×D4—22no—
842C4×D4—22no—
843C4×D4—22no—
844C4×D4—22no—
845C4×D4—22no—
846C4×D4—22no—
847C4×D4—22no—
848C4×D4—22no—
849C4×D4—22no—
850C4×D4—22no—
851C4×D4—22no—
852C4×D4—22no—
853C4×D4—44no—
854C4×D4—44no—
855C4×D4—82no—
856C4×D4C2×D414yes—
857C4×D4C2×D414yes—
858#117—28no—
859#117—22no—
860#117—22no—
861#117—44no—
862#117C2×D414yes—
863#117C2×D414yes—
864C2×C4⋊C4—21no—
865C2×C4⋊C4—21no—
866C2×C4⋊C4—21no—
867C2×C4⋊C4—21no—
868C2×C4⋊C4—22no—
869C2×C4⋊C4—22no—
870C2×C4⋊C4—21no—
871C2×C4⋊C4—21no—
872C2×C4⋊C4—21no—
873C2×C4⋊C4—21no—
874C2×C4⋊C4—21no—
875C2×C4⋊C4—21no—
876C2×C4⋊C4—21no—
877C2×C4⋊C4—21no—
878C2×C4⋊C4—21no—
879C2×C4⋊C4—21no—
880C2×C4⋊C4—21no—
881C2×C4⋊C4—44no—
882C2×C4⋊C4C2×D411yescharacteristic
883C2×C4⋊C4C2×D411yescharacteristic
884C2×C4⋊C4C2×D411yescharacteristic
885C2×C4⋊C4C2×D411yescharacteristic
886C2×C4⋊C4C2×D411yescharacteristic
887C2×C4⋊C4C2×D411yescharacteristic
888C2×C4⋊C4C2×D411yescharacteristic
889C2×C4⋊C4C2×D411yescharacteristic
890C2×C4⋊C4C2×D411yescharacteristic
891C2×C4⋊C4C2×D411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C22⋊C4—28no—
901C2×C22⋊C4—28no—
902C2×C22⋊C4—21no—
903C2×C22⋊C4—21no—
904C2×C22⋊C4—21no—
905C2×C22⋊C4—21no—
906C2×C22⋊C4—21no—
907C2×C22⋊C4—21no—
908C2×C22⋊C4—21no—
909C2×C22⋊C4—21no—
910C2×C22⋊C4—21no—
911C2×C22⋊C4—21no—
912C2×C22⋊C4—21no—
913C2×C22⋊C4—21no—
914C2×C22⋊C4—21no—
915C2×C22⋊C4—21no—
916C2×C22⋊C4—21no—
917C2×C22⋊C4—21no—
918C2×C22⋊C4—21no—
919C2×C22⋊C4—21no—
920C2×C22⋊C4—21no—
921C2×C22⋊C4—21no—
922C2×C22⋊C4—21no—
923C2×C22⋊C4—21no—
924C2×C22⋊C4—21no—
925C2×C22⋊C4—21no—
926C2×C22⋊C4—21no—
927C2×C22⋊C4—21no—
928C2×C22⋊C4—21no—
929C2×C22⋊C4—21no—
930C2×C22⋊C4—21no—
931C2×C22⋊C4—21no—
932C2×C22⋊C4—21no—
933C2×C22⋊C4—21no—
934C2×C22⋊C4—21no—
935C2×C22⋊C4C2×D411yescharacteristic
936C2×C22⋊C4C2×D411yescharacteristic
937C2×C22⋊C4C2×D411yescharacteristic
938C2×C22⋊C4C2×D411yescharacteristic
939C2×C22⋊C4C2×D411yescharacteristic
940C2×C22⋊C4C2×D411yescharacteristic
941C2×C22⋊C4C2×D411yescharacteristic
942C2×C22⋊C4C2×D411yescharacteristic
943C2×C22⋊C4C2×D411yescharacteristic
944C2×C22⋊C4C2×D411yescharacteristic
945C2×C42—21no—
946C2×C42—22no—
947C2×C42—22no—
948C2×C42—21no—
949C2×C42—21no—
950C2×C42—21no—
951C2×C42—21no—
952C2×C42C2×D411yescharacteristic
953C2×C42C2×D411yescharacteristic
954C2×C42C2411yescharacteristic
955C2×C42C2411yescharacteristic
956C2×C42C2411yescharacteristic
957C2×C42C2411yescharacteristic
958#107—22no—
959#107—22no—
960#106—22no—
961#106—22no—
962C4⋊C8—22no—
963C4⋊C8—22no—
964C4⋊C8—22no—
965C4⋊C8—22no—
966C4⋊C8—22no—
967C4⋊C8—22no—
968#103—22no—
969#103—22no—
970#103—22no—
971#103—22no—
972#103—41no—
973#103—41no—
974#103—41no—
975#103—41no—
976#102—22no—
977#102—22no—
978#102—22no—
979#102—22no—
980#102—22no—
981#102—22no—
982#102—22no—
983#102—22no—
984#102—22no—
985#102—22no—
986#102—22no—
987#102—22no—
988#102—41no—
989#102—41no—
990#102—41no—
991#102—41no—
992#102—41no—
993#102—41no—
994#102—41no—
995#102—41no—
996#102—41no—
997#102—41no—
998#102—41no—
999#102—41no—
1000#102—41no—
1001#102—41no—
1002#102—41no—
1003#102—41no—
1004#102—41no—
1005#102—41no—
1006#102—41no—
1007#102—41no—
1008C22⋊C8—22no—
1009C22⋊C8—22no—
1010C22⋊C8—41no—
1011C22⋊C8—41no—
1012C22⋊C8—41no—
1013C22⋊C8—41no—
1014C22⋊C8—41no—
1015C22⋊C8—41no—
1016C22⋊C8—41no—
1017C22⋊C8—41no—
1018#97—22no—
1019C4×C8—22no—
1020#95—21no—
1021#95—21no—
1022#95—21no—
1023#95—21no—
1024#95—21no—
1025#95—21no—
1026#95—21no—
1027#95—21no—
1028#95—21no—
1029#95—21no—
1030#95—21no—
1031#95—21no—
1032#95—21no—
1033#95—21no—
1034#95—21no—
1035#95—21no—
1036#95—21no—
1037#95—21no—
1038C24—24no—
1039C24—24no—
1040C24—24no—
1041C24—21no—
1042C24—21no—
1043C24—21no—
1044C24—21no—
1045C24—21no—
1046C24—21no—
1047C24—24no—
1048C24—42no—
1049C24—42no—
1050C24—42no—
1051C24—42no—
1052C24—81no—
1053C24—81no—
1054C24—81no—
1055C24—81no—
1056C24—81no—
1057C24—81no—
1058C24—81no—
1059C24—81no—
1060C24—81no—
1061C24—81no—
1062C24—81no—
1063C24—81no—
1064C24—81no—
1065C24—81no—
1066C24—81no—
1067C24—81no—
1068C24—81no—
1069C24—81no—
1070C24—81no—
1071C24—81no—
1072C24C22×D411yescharacteristic
1073C24C22×D411yescharacteristic
1074C24C22×D411yescharacteristic
1075#41—28no—
1076#41—44no—
1077#41—44no—
1078#41—44no—
1079#41—44no—
1080#41—44no—
1081#41—82no—
1082#41—82no—
1083#41—82no—
1084#41—82no—
1085#41—82no—
1086#41—82no—
1087#41—816no—
1088C2×Q8—22no—
1089C2×Q8—22no—
1090C2×Q8—21no—
1091C2×Q8—21no—
1092C2×Q8—21no—
1093C2×Q8—21no—
1094C2×Q8—21no—
1095C2×Q8—21no—
1096C2×Q8—21no—
1097C2×Q8—21no—
1098C2×Q8—21no—
1099C2×Q8—21no—
1100C2×Q8—41no—
1101C2×Q8C22×D412yes—
1102C2×Q8H(5,𝔽2)12yes—
1103C2×D4—24no—
1104C2×D4—24no—
1105C2×D4—24no—
1106C2×D4—22no—
1107C2×D4—22no—
1108C2×D4—22no—
1109C2×D4—22no—
1110C2×D4—24no—
1111C2×D4—24no—
1112C2×D4—24no—
1113C2×D4—24no—
1114C2×D4—24no—
1115C2×D4—24no—
1116C2×D4—24no—
1117C2×D4—24no—
1118C2×D4—24no—
1119C2×D4—24no—
1120C2×D4—24no—
1121C2×D4—24no—
1122C2×D4—24no—
1123C2×D4—22no—
1124C2×D4—24no—
1125C2×D4—24no—
1126C2×D4—24no—
1127C2×D4—24no—
1128C2×D4—24no—
1129C2×D4—24no—
1130C2×D4—24no—
1131C2×D4—22no—
1132C2×D4—21no—
1133C2×D4—21no—
1134C2×D4—21no—
1135C2×D4—21no—
1136C2×D4—21no—
1137C2×D4—21no—
1138C2×D4—21no—
1139C2×D4—21no—
1140C2×D4—21no—
1141C2×D4—21no—
1142C2×D4—21no—
1143C2×D4—21no—
1144C2×D4—21no—
1145C2×D4—21no—
1146C2×D4—21no—
1147C2×D4—21no—
1148C2×D4—21no—
1149C2×D4—21no—
1150C2×D4—21no—
1151C2×D4—21no—
1152C2×D4—21no—
1153C2×D4—21no—
1154C2×D4—21no—
1155C2×D4—21no—
1156C2×D4—21no—
1157C2×D4—21no—
1158C2×D4—21no—
1159C2×D4—21no—
1160C2×D4—21no—
1161C2×D4—21no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C2×D4—41no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C2×D4—42no—
1178C2×D4—42no—
1179C2×D4—82no—
1180C2×D4—82no—
1181C2×D4—81no—
1182C2×D4—81no—
1183C2×D4—81no—
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—82no—
1210C2×D4—82no—
1211C2×D4—82no—
1212C2×D4—82no—
1213C2×D4—82no—
1214C2×D4—82no—
1215C2×D4—82no—
1216C2×D4—82no—
1217C2×D4—82no—
1218C2×D4—82no—
1219C2×D4—82no—
1220C2×D4—82no—
1221C2×D4—816no—
1222C2×D4—816no—
1223C2×D4—81no—
1224C2×D4—81no—
1225C2×D4—81no—
1226C2×D4—81no—
1227C2×D4—81no—
1228C2×D4—81no—
1229C2×D4—81no—
1230C2×D4—81no—
1231C2×D4—81no—
1232C2×D4—81no—
1233C2×D4—81no—
1234C2×D4—81no—
1235C2×D4—81no—
1236C2×D4—816no—
1237C2×D4—81no—
1238C2×D4—81no—
1239C2×D4—816no—
1240C2×D4—816no—
1241C2×D4C22×D412yes—
1242C2×D4C22×D412yes—
1243C2×D4C22×D412yes—
1244C2×D4C22×D412yes—
1245C2×D4C22×D412yes—
1246C2×D4H(5,𝔽2)12yes—
1247C22×C4—21no—
1248C22×C4—21no—
1249C22×C4—21no—
1250C22×C4—21no—
1251C22×C4—24no—
1252C22×C4—22no—
1253C22×C4—21no—
1254C22×C4—21no—
1255C22×C4—21no—
1256C22×C4—21no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—21no—
1264C22×C4—21no—
1265C22×C4—21no—
1266C22×C4—21no—
1267C22×C4—21no—
1268C22×C4—21no—
1269C22×C4—21no—
1270C22×C4—21no—
1271C22×C4—21no—
1272C22×C4—21no—
1273C22×C4—21no—
1274C22×C4—21no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—21no—
1279C22×C4—21no—
1280C22×C4—21no—
1281C22×C4—21no—
1282C22×C4—21no—
1283C22×C4—21no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—81no—
1295C22×C4—81no—
1296C22×C4—81no—
1297C22×C4—81no—
1298C22×C4—81no—
1299C22×C4—81no—
1300C22×C4—81no—
1301C22×C4—81no—
1302C22×C4—81no—
1303C22×C4—81no—
1304C22×C4—81no—
1305C22×C4—81no—
1306C22×C4—81no—
1307C22×C4—81no—
1308C22×C4—81no—
1309C22×C4—81no—
1310C22×C4—81no—
1311C22×C4—81no—
1312C22×C4C22×D411yescharacteristic
1313C22×C4C22×D411yescharacteristic
1314C22×C4C22×D411yescharacteristic
1315C22×C4C22×D411yescharacteristic
1316C22×C4C22×D411yescharacteristic
1317C22×C4C22×D411yescharacteristic
1318C22×C4C22×D411yescharacteristic
1319C22×C4C22×D411yescharacteristic
1320C22×C4C22×D411yescharacteristic
1321C22×C4C22×D411yescharacteristic
1322C22×C4C22×D412yes—
1323C22×C4C22×D412yes—
1324C22×C4C22×D411yescharacteristic
1325C22×C4C2511yescharacteristic
1326Q16—44no—
1327SD16—44no—
1328SD16—44no—
1329SD16—44no—
1330SD16—44no—
1331SD16—44no—
1332SD16—44no—
1333D8—44no—
1334D8—44no—
1335D8—44no—
1336D8—44no—
1337D8—44no—
1338M16—44no—
1339C2×C8—21no—
1340C2×C8—21no—
1341C2×C8—21no—
1342C2×C8—21no—
1343C2×C8—21no—
1344C2×C8—21no—
1345C2×C8—21no—
1346C2×C8—21no—
1347C2×C8—21no—
1348C2×C8—21no—
1349C2×C8—21no—
1350C2×C8—21no—
1351C2×C8—21no—
1352C2×C8—21no—
1353C2×C8—21no—
1354C2×C8—21no—
1355C2×C8—21no—
1356C2×C8—21no—
1357C2×C8—21no—
1358C2×C8—21no—
1359C2×C8—21no—
1360C2×C8—21no—
1361C2×C8—21no—
1362C2×C8—21no—
1363C2×C8—44no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—21no—
1379C4⋊C4—21no—
1380C4⋊C4—21no—
1381C4⋊C4—21no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—81no—
1398C4⋊C4—81no—
1399C4⋊C4—81no—
1400C4⋊C4—81no—
1401C4⋊C4#12014yes—
1402C4⋊C4#12014yes—
1403C4⋊C4C22×D412yes—
1404C4⋊C4C22×D412yes—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—22no—
1415C22⋊C4—22no—
1416C22⋊C4—22no—
1417C22⋊C4—22no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—22no—
1427C22⋊C4—22no—
1428C22⋊C4—22no—
1429C22⋊C4—22no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—81no—
1438C22⋊C4—81no—
1439C22⋊C4—81no—
1440C22⋊C4—81no—
1441C22⋊C4—81no—
1442C22⋊C4—81no—
1443C22⋊C4—81no—
1444C22⋊C4—81no—
1445C22⋊C4—81no—
1446C22⋊C4#12014yes—
1447C22⋊C4#12014yes—
1448C42—24no—
1449C42—22no—
1450C42—22no—
1451C42—21no—
1452C42—21no—
1453C42—21no—
1454C42—21no—
1455C42—42no—
1456C42—42no—
1457C42—81no—
1458C42—81no—
1459C42C22×D412yes—
1460C42C22×D412yes—
1461C42C22×D412yes—
1462C42C22×D412yes—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—21no—
1484C23—22no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—48no—
1489C23—48no—
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—41no—
1512C23—41no—
1513C23—41no—
1514C23—41no—
1515C23—41no—
1516C23—41no—
1517C23—41no—
1518C23—41no—
1519C23—41no—
1520C23—41no—
1521C23—41no—
1522C23—41no—
1523C23—41no—
1524C23—41no—
1525C23—41no—
1526C23—84no—
1527C23—84no—
1528C23—84no—
1529C23—84no—
1530C23—84no—
1531C23—84no—
1532C23—84no—
1533C23—84no—
1534C23—84no—
1535C23—84no—
1536C23—162no—
1537C23—162no—
1538C23—162no—
1539C23—162no—
1540C23—162no—
1541C23—162no—
1542C23—162no—
1543C23—162no—
1544C23—162no—
1545C23—162no—
1546C23—162no—
1547C23—162no—
1548C23—162no—
1549C23—162no—
1550C23—162no—
1551C23—162no—
1552C23C2×#12012yes—
1553C23#57712yes—
1554C23C23×D411yescharacteristic
1555Q8—22no—
1556Q8—22no—
1557Q8—22no—
1558Q8—22no—
1559Q8—44no—
1560Q8—41no—
1561Q8—41no—
1562Q8—41no—
1563Q8—41no—
1564D4—22no—
1565D4—22no—
1566D4—22no—
1567D4—22no—
1568D4—22no—
1569D4—22no—
1570D4—22no—
1571D4—22no—
1572D4—22no—
1573D4—22no—
1574D4—22no—
1575D4—22no—
1576D4—44no—
1577D4—44no—
1578D4—48no—
1579D4—48no—
1580D4—44no—
1581D4—48no—
1582D4—48no—
1583D4—41no—
1584D4—41no—
1585D4—41no—
1586D4—41no—
1587D4—41no—
1588D4—41no—
1589D4—41no—
1590D4—41no—
1591D4—41no—
1592D4—41no—
1593D4—41no—
1594D4—41no—
1595D4—84no—
1596D4—84no—
1597D4—84no—
1598D4—84no—
1599D4—84no—
1600D4—84no—
1601D4—84no—
1602D4—84no—
1603D4—84no—
1604D4—84no—
1605D4—84no—
1606D4—84no—
1607D4—84no—
1608D4—84no—
1609D4—84no—
1610D4—84no—
1611D4—84no—
1612D4—84no—
1613D4—84no—
1614D4—84no—
1615D4—84no—
1616D4—162no—
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—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—44no—
1653C2×C4—44no—
1654C2×C4—48no—
1655C2×C4—48no—
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—41no—
1687C2×C4—41no—
1688C2×C4—41no—
1689C2×C4—41no—
1690C2×C4—84no—
1691C2×C4—84no—
1692C2×C4—84no—
1693C2×C4—84no—
1694C2×C4—84no—
1695C2×C4—84no—
1696C2×C4—162no—
1697C2×C4—162no—
1698C2×C4—162no—
1699C2×C4C2×#12012yes—
1700C2×C4C2×#12012yes—
1701C2×C4C2×#12012yes—
1702C2×C4C2×#12012yes—
1703C2×C4C2×#12012yes—
1704C2×C4#57612yes—
1705C2×C4C23×D411yescharacteristic
1706C2×C4C23×D411yescharacteristic
1707C2×C4C2×H(5,𝔽2)11yescharacteristic
1708C2×C4C2×H(5,𝔽2)11yescharacteristic
1709C2×C4#58511yescharacteristic
1710C2×C4#58511yescharacteristic
1711C8—41no—
1712C8—41no—
1713C8—41no—
1714C8—41no—
1715C8—41no—
1716C8—41no—
1717C8—41no—
1718C8—41no—
1719C22—22no—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—22no—
1724C22—22no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—42no—
1736C22—41no—
1737C22—41no—
1738C22—42no—
1739C22—42no—
1740C22—41no—
1741C22—42no—
1742C22—42no—
1743C22—42no—
1744C22—42no—
1745C22—42no—
1746C22—42no—
1747C22—42no—
1748C22—42no—
1749C22—41no—
1750C22—42no—
1751C22—42no—
1752C22—42no—
1753C22—42no—
1754C22—41no—
1755C22—42no—
1756C22—42no—
1757C22—42no—
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—81no—
1779C22—81no—
1780C22—81no—
1781C22—81no—
1782C22—168no—
1783C22—168no—
1784C22—168no—
1785C22—168no—
1786C22C22×#12011yescharacteristic
1787C22#348811yescharacteristic
1788C22#348811yescharacteristic
1789C22C2×#57611yescharacteristic
1790C22C2×#57711yescharacteristic
1791C22#358511yescharacteristic
1792C22#358511yescharacteristic
1793C4—22no—
1794C4—22no—
1795C4—22no—
1796C4—22no—
1797C4—22no—
1798C4—22no—
1799C4—41no—
1800C4—41no—
1801C4—42no—
1802C4—42no—
1803C4—41no—
1804C4—42no—
1805C4—41no—
1806C4—41no—
1807C4—42no—
1808C4—81no—
1809C4—81no—
1810C4—81no—
1811C4—81no—
1812C4—81no—
1813C4—81no—
1814C4#348411yescharacteristic
1815C4#348511yescharacteristic
1816C4#348811yescharacteristic
1817C4#348811yescharacteristic
1818C2—42no—
1819C2—42no—
1820C2—81no—
1821C2—82no—
1822C2—82no—
1823C2—82no—
1824C2—82no—
1825C2—82no—
1826C2—82no—
1827C2#3551211yescharacteristic
1828C2#6037211yescharacteristic
1829C2#6037311yescharacteristic
1830C2#6200911yescharacteristic
1831C2#6203711yescharacteristic
1832C2#6205311yescharacteristic
1833C2#6207911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#529 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3543C2semidirect
2. C2×#3119C2semidirect
3. C2×#3045C2semidirect
4. #35521C2semidirect
5. #24259C2semidirect
6. #24248C2semidirect
7. #24245C2semidirect
8. #24240C2semidirect
9. #24220C2semidirect
10. #24218C2semidirect
11. #24211C2semidirect
12. #24208C2semidirect
13. #24204C2semidirect
14. #24200C2semidirect
15. #24194C2semidirect
16. #24184C2semidirect
17. #24164C2semidirect
18. #24162C2semidirect
19. #24161C2semidirect
20. #24158C2semidirect
21. #24049C2semidirect
22. #24045C2semidirect
23. #24033C2semidirect
24. #24032C2semidirect
25. #23860C2semidirect
26. #23860C2semidirect
27. #23857C2semidirect
28. #23850C2semidirect
29. #21897C2semidirect
30. #21855C2semidirect
31. #21813C2semidirect
32. C22×AGL(1,ℤ/8)C22semidirect
33. C22×#135C22semidirect
59. C2×#520C22semidirect
61. C2×#481C22semidirect
62. C2×#480C22semidirect
63. C2×#479C22semidirect
64. C2×#478C22semidirect
66. C2×#464C22semidirect
67. C2×#464C22semidirect
68. C2×#460C22semidirect
69. C2×#460C22semidirect
70. C2×#460C22semidirect
71. C2×#463C22semidirect
72. C2×#463C22semidirect
73. C2×#459C22semidirect
74. C2×#459C22semidirect
75. C2×#459C22semidirect
76. C2×#452C22semidirect
77. C2×#449C22semidirect
78. C2×#449C22semidirect
79. C2×#449C22semidirect
80. C2×#450C22semidirect
81. C2×#450C22semidirect
82. C2×#450C22semidirect
83. C2×#447C22semidirect
84. C2×#447C22semidirect
85. C2×#447C22semidirect
86. C2×#442C22semidirect
87. C2×#440C22semidirect
88. C2×C4×SD16C22semidirect
89. C2×C4×D8C22semidirect
90. C2×#433C22semidirect
91. C2×#424C22semidirect
92. C2×#417C22semidirect
93. C22×#102C22semidirect
94. #2581C22semidirect
95. #2538C22semidirect
96. #2538C22semidirect
97. #2535C22semidirect
98. #2487C22semidirect
99. #2486C22semidirect
108. #2407C22semidirect
109. #2407C22semidirect
110. #2324C22semidirect
111. #2323C22semidirect
112. #2314C22semidirect
113. C4×C22⋊Q8C22semidirect
114. C4×#121C22semidirect
115. #2042C22semidirect
116. #2042C22semidirect
119. #2041C22semidirect
120. #2041C22semidirect
121. #2041C22semidirect
122. #2041C22semidirect
123. #2036C22semidirect
124. #2036C22semidirect
127. #2034C22semidirect
128. #2034C22semidirect
129. #2033C22semidirect
130. #2033C22semidirect
131. #2015C22semidirect
133. #2014C22semidirect
134. #2014C22semidirect
135. #2012C22semidirect
137. #2011C22semidirect
138. #2011C22semidirect
139. #2001C22semidirect
141. #2000C22semidirect
142. #2000C22semidirect
143. #2000C22semidirect
145. #1999C22semidirect
146. #1999C22semidirect
147. #1989C22semidirect
148. #1989C22semidirect
149. #1985C22semidirect
150. #1984C22semidirect
151. #1983C22semidirect
152. #1983C22semidirect
153. #1982C22semidirect
154. #1982C22semidirect
155. #1982C22semidirect
156. #1982C22semidirect
157. #1961C22semidirect
158. #1959C22semidirect
159. #1958C22semidirect
160. #1957C22semidirect
161. #1955C22semidirect
162. #1954C22semidirect
163. #1895C22semidirect
164. #1895C22semidirect
165. #1893C22semidirect
166. #1893C22semidirect
167. #1880C22semidirect
168. #1879C22semidirect
169. #1879C22semidirect
170. #1879C22semidirect
171. #1878C22semidirect
172. #1877C22semidirect
173. #1877C22semidirect
174. #1877C22semidirect
175. #1870C22semidirect
176. #1870C22semidirect
177. #1869C22semidirect
178. #1869C22semidirect
179. #1865C22semidirect
180. #1865C22semidirect
181. #1864C22semidirect
182. #1864C22semidirect
183. #1862C22semidirect
184. #1862C22semidirect
185. #1862C22semidirect
186. #1862C22semidirect
187. #1804C22semidirect
188. #1804C22semidirect
189. #1802C22semidirect
190. #1802C22semidirect
191. #1798C22semidirect
192. #1798C22semidirect
193. #1797C22semidirect
194. #1797C22semidirect
195. #1788C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1788C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
201. #1786C22semidirect
202. #1786C22semidirect
203. #1786C22semidirect
204. #1786C22semidirect
205. #1786C22semidirect
206. #1786C22semidirect
264. #540D4semidirect
269. #535D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35432
C2×#31192
C2×#30452
#355212
#242592
#242482
#242452
#242402
#242202
#242182
#242112
#242082
#242042
#242002
#241942
#241842
#241642
#241622
#241612
#241582
#240492
#240452
#240332
#240322
#238602
#238572
#238502
#218972
#218552
#218132