Finite Group Databasebeta

← #7325636

Subgroups — #7325636

Order 512.

2234 conjugacy classes of subgroups.

The subgroup lattice has 1615 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58997C211yesmaximal, characteristic
2#45667C211yesmaximal, characteristic, complemented
3#31328C211yesmaximal, characteristic, complemented
4#31318C211yesmaximal, characteristic, complemented
5#31276C211yesmaximal, characteristic, complemented
6#31043C211yesmaximal, characteristic, complemented
7#31027C211yesmaximal, characteristic, complemented
8#30931C211yesmaximal, characteristic, complemented
9#30926C211yesmaximal, characteristic, complemented
10#30547C211yesmaximal, characteristic, complemented
11#30547C211yesmaximal, characteristic, complemented
12#30547C211yesmaximal, characteristic, complemented
13#30527C211yesmaximal, characteristic, complemented
14#30516C211yesmaximal, characteristic, complemented
15#29598C211yesmaximal, characteristic, complemented
16#29596C211yesmaximal, characteristic, complemented
17#28923C211yesmaximal, characteristic, complemented
18#28914C211yesmaximal, characteristic, complemented
19#28609C211yesmaximal, characteristic, complemented
20#26803C211yesmaximal, characteristic, complemented
21#26800C211yesmaximal, characteristic, complemented
22#26736C211yesmaximal, characteristic, complemented
23#26721C211yesmaximal, characteristic, complemented
24#25891C211yesmaximal, characteristic, complemented
25#25885C211yesmaximal, characteristic, complemented
26#24385C211yesmaximal, characteristic, complemented
27#24385C211yesmaximal, characteristic, complemented
28#24269C211yesmaximal, characteristic, complemented
29#23849C211yesmaximal, characteristic, complemented
30#23849C211yesmaximal, characteristic, complemented
31#22036C211yesmaximal, characteristic, complemented
32C23×SD16C2211yescharacteristic, complemented
33C2×D42—21no—
34C2×D42C2211yescharacteristic
35C2×D42C2211yescharacteristic
36C22×#121C2211yescharacteristic
37C22×#121C2211yescharacteristic
38C2×#490C2211yescharacteristic, complemented
39C2×#490C2211yescharacteristic, complemented
40C2×#486C2211yescharacteristic, complemented
41C2×#484C2211yescharacteristic, complemented
42C2×#483C2211yescharacteristic, complemented
43C2×#478C2211yescharacteristic, complemented
44C2×#474C2211yescharacteristic, complemented
45C2×#468C2211yescharacteristic, complemented
46C2×#468C2211yescharacteristic, complemented
47C2×#468C2211yescharacteristic, complemented
48C2×#468C2211yescharacteristic, complemented
49C2×#448C2211yescharacteristic, complemented
50C2×#448C2211yescharacteristic, complemented
51C2×#450C2211yescharacteristic, complemented
52C2×#450C2211yescharacteristic, complemented
53C2×#450C2211yescharacteristic, complemented
54C2×#450C2211yescharacteristic, complemented
55C2×#435C2211yescharacteristic, complemented
56C2×#407C2211yescharacteristic, complemented
57#2848C2211yescharacteristic, complemented
58#2848C2211yescharacteristic, complemented
59#2835—21no—
60#2782—21no—
61#2782—21no—
62#2763—21no—
63#2763—21no—
64#2736—21no—
65#2684—21no—
66#2675—21no—
67#2669—21no—
68#2562C2211yescharacteristic, complemented
69#2562C2211yescharacteristic, complemented
70#2547C2211yescharacteristic, complemented
71#2541C2211yescharacteristic
72#2492C2211yescharacteristic, complemented
73#2492C2211yescharacteristic, complemented
74#2489C2211yescharacteristic, complemented
75#2489C2211yescharacteristic, complemented
76#2489C2211yescharacteristic, complemented
77#2489C2211yescharacteristic, complemented
78#2433C2211yescharacteristic
79#2433C2211yescharacteristic
80#2428C2211yescharacteristic
81#2428C2211yescharacteristic
82#2424—21no—
83#2424—21no—
84#2416C2211yescharacteristic
85#2416C2211yescharacteristic
86#2410—21no—
87#2410—21no—
88#2409C2211yescharacteristic, complemented
89#2409C2211yescharacteristic, complemented
90#2409C2211yescharacteristic, complemented
91#2408C2211yescharacteristic
92#2403—21no—
93#2379—21no—
94#2361C2211yescharacteristic
95#2361C2211yescharacteristic
96C4×#120C2211yescharacteristic
97#2077C2211yescharacteristic, complemented
98#2075C2211yescharacteristic, complemented
99#2068C2211yescharacteristic, complemented
100#2066C2211yescharacteristic, complemented
101#2059C2211yescharacteristic, complemented
102#2057C2211yescharacteristic, complemented
103#2055C2211yescharacteristic, complemented
104#2055C2211yescharacteristic, complemented
105#2055C2211yescharacteristic, complemented
106#2055C2211yescharacteristic, complemented
107#2034C2211yescharacteristic
108#2034C2211yescharacteristic, complemented
109#2034C2211yescharacteristic, complemented
110#2034C2211yescharacteristic, complemented
111#2034C2211yescharacteristic, complemented
112#2033C2211yescharacteristic
113#2033C2211yescharacteristic
114#2033C2211yescharacteristic
115#2033C2211yescharacteristic, complemented
116#2033C2211yescharacteristic, complemented
117#2033C2211yescharacteristic, complemented
118#2033C2211yescharacteristic, complemented
119#2033C2211yescharacteristic, complemented
120#2033C2211yescharacteristic, complemented
121#2033C2211yescharacteristic, complemented
122#2033C2211yescharacteristic, complemented
123#2025C2211yescharacteristic, complemented
124#2025C2211yescharacteristic, complemented
125#2025C2211yescharacteristic, complemented
126#2023C2211yescharacteristic, complemented
127#2014C2211yescharacteristic, complemented
128#2014C2211yescharacteristic, complemented
129#2014C2211yescharacteristic, complemented
130#2014C2211yescharacteristic, complemented
131#2014C2211yescharacteristic, complemented
132#2014C2211yescharacteristic, complemented
133#2000C2211yescharacteristic
134#2000C2211yescharacteristic
135#2000C2211yescharacteristic
136#2000C2211yescharacteristic
137#2000C2211yescharacteristic, complemented
138#2000C2211yescharacteristic, complemented
139#2000C2211yescharacteristic, complemented
140#2000C2211yescharacteristic, complemented
141#2000C2211yescharacteristic, complemented
142#2000C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#2000C2211yescharacteristic, complemented
145#1989C2211yescharacteristic, complemented
146#1982C2211yescharacteristic, complemented
147#1982C2211yescharacteristic, complemented
148#1982C2211yescharacteristic, complemented
149#1973C2211yescharacteristic, complemented
150#1973C2211yescharacteristic, complemented
151#1973C2211yescharacteristic, complemented
152#1968C2211yescharacteristic, complemented
153#1955C2211yescharacteristic, complemented
154#1954C2211yescharacteristic, complemented
155#1935C2211yescharacteristic, complemented
156#1933C2211yescharacteristic, complemented
157#1928C2211yescharacteristic, complemented
158#1928C2211yescharacteristic, complemented
159#1926C2211yescharacteristic, complemented
160#1925C2211yescharacteristic, complemented
161#1925C2211yescharacteristic, complemented
162#1925C2211yescharacteristic, complemented
163#1924C2211yescharacteristic, complemented
164#1924C2211yescharacteristic, complemented
165#1924C2211yescharacteristic, complemented
166#1923C2211yescharacteristic, complemented
167#1921C2211yescharacteristic, complemented
168#1918C2211yescharacteristic, complemented
169#1895C2211yescharacteristic, complemented
170#1895C2211yescharacteristic, complemented
171#1895C2211yescharacteristic, complemented
172#1895C2211yescharacteristic, complemented
173#1893C2211yescharacteristic, complemented
174#1893C2211yescharacteristic, complemented
175#1877C2211yescharacteristic, complemented
176#1877C2211yescharacteristic, complemented
177#1877C2211yescharacteristic, complemented
178#1877C2211yescharacteristic, complemented
179#1872C2211yescharacteristic, complemented
180#1872C2211yescharacteristic, complemented
181#1870C2211yescharacteristic, complemented
182#1869C2211yescharacteristic, complemented
183#1869C2211yescharacteristic, complemented
184#1852C2211yescharacteristic, complemented
185#1852C2211yescharacteristic, complemented
186#1851C2211yescharacteristic, complemented
187#1824C2211yescharacteristic, complemented
188#1823C2211yescharacteristic, complemented
189#1808C2211yescharacteristic, complemented
190#1787C2211yescharacteristic, complemented
191#1786C2211yescharacteristic, complemented
192#1786C2211yescharacteristic, complemented
193#1786C2211yescharacteristic, complemented
194#1786C2211yescharacteristic, complemented
195#1786C2211yescharacteristic, complemented
196#1786C2211yescharacteristic, complemented
197#1786C2211yescharacteristic, complemented
198#1779C2211yescharacteristic, complemented
199#1776C2211yescharacteristic, complemented
200#1762C2211yescharacteristic, complemented
201C4×#102C2211yescharacteristic, complemented
202#1753C2211yescharacteristic, complemented
203C23×Q8C2311yescharacteristic
204C23×D4—21no—
205C23×D4—21no—
206C23×D4—21no—
207C23×D4—21no—
208C23×D4C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C24×C4C2311yescharacteristic
212C22×SD16—42no—
213C22×SD16—42no—
214C22×SD16—42no—
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×M16C2311yescharacteristic
224C22×M16C2311yescharacteristic
225C23×C8C2311yescharacteristic
226D42—42no—
227D42—42no—
228D42—48no—
229D42—42no—
230D42—42no—
231C2×C4⋊Q8C2311yescharacteristic
232C2×#127—21no—
233C2×#127C2311yescharacteristic
234C2×#127C2311yescharacteristic
235C2×#127C2311yescharacteristic
236C2×#125C2311yescharacteristic
237C2×#125C2311yescharacteristic
238C2×#124—21no—
239C2×C22⋊Q8C2311yescharacteristic
240C2×C22⋊Q8C2311yescharacteristic
241C2×C22⋊Q8C2311yescharacteristic
242C2×C22⋊Q8C2311yescharacteristic
243C2×C22⋊Q8C2311yescharacteristic
244C2×C22⋊Q8C2311yescharacteristic
245C2×#121—21no—
246C2×#121—21no—
247C2×#121—21no—
248C2×#121—21no—
249C2×#121—21no—
250C2×#121—21no—
251C2×#121—21no—
252C2×#121—21no—
253C2×#121—21no—
254C2×#121—21no—
255C2×#121—42no—
256C2×#121—42no—
257C2×#121—42no—
258C2×#121—42no—
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#121C2311yescharacteristic
266C2×#121C2311yescharacteristic
267C2×#121C2311yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#120—21no—
270C2×#120—21no—
271C2×#120—21no—
272C2×#120—21no—
273C2×#120—21no—
274C2×#120—21no—
275C2×#120—21no—
276C2×#120—21no—
277C2×#120—21no—
278C2×#120D411yescharacteristic
279C2×C4×D4—21no—
280C2×C4×D4—21no—
281C2×C4×D4C2311yescharacteristic
282C2×C4×D4C2311yescharacteristic
283C2×C4×D4C2311yescharacteristic
284C2×C4×D4C2311yescharacteristic
285C2×C4×D4C2311yescharacteristic
286C22×C4⋊C4C2311yescharacteristic
287C22×C4⋊C4C2311yescharacteristic
288C22×C22⋊C4—21no—
289C22×C22⋊C4—21no—
290#490—42no—
291#490—42no—
292#486—42no—
293#484—42no—
294#483—42no—
295#478—42no—
296#474—42no—
297#468—42no—
298#468—42no—
299#468—42no—
300#468—42no—
301#450—42no—
302#450—42no—
303#450—42no—
304#450—42no—
305#448—42no—
306#448—42no—
307#435—42no—
308C2×#107C2311yescharacteristic
309C2×#107C2311yescharacteristic
310C2×#107C2311yescharacteristic
311C2×#107C2311yescharacteristic
312C2×#107C2311yescharacteristic
313C2×#107C2311yescharacteristic
314C2×#106C2311yescharacteristic
315C2×#106C2311yescharacteristic
316C2×C4⋊C8C2311yescharacteristic
317C2×C4⋊C8C2311yescharacteristic
318C2×C4⋊C8C2311yescharacteristic
319C2×#103C2311yescharacteristic
320C2×#103C2311yescharacteristic
321C2×#103C2311yescharacteristic
322C2×#103C2311yescharacteristic
323C2×#103C2311yescharacteristic
324C2×#103C2311yescharacteristic
325C2×#103C2311yescharacteristic
326C2×#103C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×#102C2311yescharacteristic
339C2×#102C2311yescharacteristic
340C2×#102C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×#102C2311yescharacteristic
343C2×#102C2311yescharacteristic
344C2×#102C2311yescharacteristic
345C2×#102C2311yescharacteristic
346C2×#102C2311yescharacteristic
347C2×#102C2311yescharacteristic
348C2×#102C2311yescharacteristic
349C2×#102C2311yescharacteristic
350C2×#102C2311yescharacteristic
351#407—42no—
352C2×C22⋊C8C2311yescharacteristic
353C2×C22⋊C8C2311yescharacteristic
354C2×C22⋊C8C2311yescharacteristic
355C2×C22⋊C8C2311yescharacteristic
356C2×C22⋊C8C2311yescharacteristic
357C2×C22⋊C8C2311yescharacteristic
358C2×C22⋊C8C2311yescharacteristic
359C2×C22⋊C8C2311yescharacteristic
360C2×C22⋊C8C2311yescharacteristic
361C2×C22⋊C8C2311yescharacteristic
362C2×C22⋊C8C2311yescharacteristic
363C2×C22⋊C8C2311yescharacteristic
364C2×C22⋊C8C2311yescharacteristic
365C2×#97C2311yescharacteristic
366C2×#97C2311yescharacteristic
367C2×C4×C8C2311yescharacteristic
368#400—21no—
369#400—21no—
370#400—21no—
371#400—21no—
372#400—21no—
373#400—21no—
374#400—21no—
375#400—21no—
376#397—21no—
377#397—21no—
378#397—21no—
379#397—21no—
380#397—21no—
381#397—21no—
382#396—21no—
383#396—21no—
384#395—21no—
385#395—21no—
386#395—21no—
387#394—21no—
388#394—21no—
389#394—21no—
390#394—21no—
391#394—21no—
392#394—21no—
393#394—21no—
394#393—21no—
395#393—21no—
396#393—21no—
397#393—21no—
398#393—21no—
399#392—21no—
400#392—21no—
401#392—21no—
402#392—21no—
403#392—21no—
404#392—21no—
405#392—21no—
406#392—21no—
407#392—21no—
408#391—21no—
409#391—21no—
410#391—21no—
411#391C2311yescharacteristic
412#391C2311yescharacteristic
413#391C2311yescharacteristic
414#391C2311yescharacteristic
415#391C2311yescharacteristic
416#391C2311yescharacteristic
417#390—21no—
418#390C2311yescharacteristic
419#390C2311yescharacteristic
420#390C2311yescharacteristic
421#390C2311yescharacteristic
422#389C2311yescharacteristic
423#389C2311yescharacteristic
424#388—21no—
425#388—21no—
426#388—21no—
427#388—21no—
428#388—21no—
429#388—21no—
430#388—21no—
431#388—21no—
432#388—21no—
433#388—21no—
434#388—21no—
435#388—21no—
436#386—21no—
437#386—21no—
438#386—21no—
439#386—21no—
440#386—21no—
441#386—21no—
442#386—21no—
443#386—21no—
444#386—21no—
445#386D411yescharacteristic
446#386D411yescharacteristic
447#386D411yescharacteristic
448#385—21no—
449#385—21no—
450#385—21no—
451#385—21no—
452#385—21no—
453#385—21no—
454#385—21no—
455#385—21no—
456#385—21no—
457#385—21no—
458#385—21no—
459#385D411yescharacteristic
460#385D411yescharacteristic
461#385D411yescharacteristic
462#382—21no—
463#382—21no—
464#382—21no—
465#382—21no—
466#380C2311yescharacteristic
467#380C2311yescharacteristic
468#380C2311yescharacteristic
469#380C2311yescharacteristic
470#380C2311yescharacteristic
471#380C2311yescharacteristic
472#380C2311yescharacteristic
473#380C2311yescharacteristic
474#380C2311yescharacteristic
475#380C2311yescharacteristic
476#379—21no—
477#379—21no—
478#379—21no—
479#379D411yescharacteristic
480C4×C4⋊C4C2311yescharacteristic
481C4×C4⋊C4C2311yescharacteristic
482C4×C4⋊C4C2311yescharacteristic
483C4×C4⋊C4C2311yescharacteristic
484C4×C22⋊C4C2311yescharacteristic
485C4×C22⋊C4C2311yescharacteristic
486C4×C22⋊C4C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#340C2311yescharacteristic
497#340C2311yescharacteristic
498#340C2311yescharacteristic
499#340C2311yescharacteristic
500#340C2311yescharacteristic
501#340C2311yescharacteristic
502#340C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505#336C2311yescharacteristic
506#336C2311yescharacteristic
507#336C2311yescharacteristic
508#336C2311yescharacteristic
509C25—21no—
510C25—21no—
511C25—21no—
512C25C2×D411yescharacteristic
513C22×Q8—21no—
514C22×Q8—21no—
515C22×Q8—41no—
516C22×Q8—41no—
517C22×Q8—41no—
518C22×Q8—41no—
519C22×Q8—41no—
520C22×Q8—41no—
521C22×Q8C2411yescharacteristic
522C22×Q8C2411yescharacteristic
523C22×D4—21no—
524C22×D4—21no—
525C22×D4—22no—
526C22×D4—22no—
527C22×D4—22no—
528C22×D4—22no—
529C22×D4—21no—
530C22×D4—21no—
531C22×D4—21no—
532C22×D4—21no—
533C22×D4—21no—
534C22×D4—21no—
535C22×D4—21no—
536C22×D4—21no—
537C22×D4—21no—
538C22×D4—21no—
539C22×D4—21no—
540C22×D4—21no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—41no—
547C22×D4—41no—
548C22×D4—41no—
549C22×D4—41no—
550C22×D4—41no—
551C22×D4—41no—
552C22×D4—41no—
553C22×D4—41no—
554C22×D4—41no—
555C22×D4—41no—
556C22×D4—41no—
557C22×D4—41no—
558C22×D4—41no—
559C22×D4—41no—
560C22×D4—44no—
561C22×D4—44no—
562C22×D4—44no—
563C22×D4—44no—
564C22×D4—44no—
565C22×D4—44no—
566C22×D4—44no—
567C22×D4—44no—
568C22×D4—82no—
569C22×D4—82no—
570C22×D4—82no—
571C22×D4—82no—
572C22×D4C2×D411yescharacteristic
573C22×D4C2×D411yescharacteristic
574C22×D4C2×D411yescharacteristic
575C22×D4C2411yescharacteristic
576C22×D4C2411yescharacteristic
577C22×D4C2411yescharacteristic
578C22×D4C2411yescharacteristic
579C23×C4—21no—
580C23×C4—21no—
581C23×C4—21no—
582C23×C4—21no—
583C23×C4—21no—
584C23×C4—41no—
585C23×C4—41no—
586C23×C4—41no—
587C23×C4—41no—
588C23×C4—41no—
589C23×C4—41no—
590C23×C4C2×D411yescharacteristic
591C23×C4C2×D411yescharacteristic
592C23×C4C2×D411yescharacteristic
593C23×C4C2411yescharacteristic
594C23×C4C2411yescharacteristic
595C23×C4C2411yescharacteristic
596C23×C4C2411yescharacteristic
597C2×SD16—22no—
598C2×SD16—22no—
599C2×SD16—22no—
600C2×SD16—22no—
601C2×SD16—22no—
602C2×SD16—22no—
603C2×SD16—41no—
604C2×SD16—41no—
605C2×SD16—41no—
606C2×SD16—41no—
607C2×SD16—41no—
608C2×SD16—41no—
609C2×SD16—41no—
610C2×SD16—41no—
611C2×SD16—41no—
612C2×SD16—41no—
613C2×SD16—41no—
614C2×SD16—41no—
615C2×SD16—41no—
616C2×SD16—41no—
617C2×SD16—41no—
618C2×SD16—41no—
619C2×SD16—41no—
620C2×SD16—41no—
621C2×SD16—416no—
622C2×M16—22no—
623C2×M16—41no—
624C2×M16—41no—
625C2×M16—41no—
626C2×M16—41no—
627C2×M16—41no—
628C22×C8—22no—
629C22×C8—41no—
630C22×C8—41no—
631C22×C8C2411yescharacteristic
632C22×C8C2411yescharacteristic
633C22×C8C2411yescharacteristic
634C22×C8C2411yescharacteristic
635C22×C8C2411yescharacteristic
636C22×C8C2411yescharacteristic
637C22×C8C2411yescharacteristic
638C22×C8C2411yescharacteristic
639C4⋊Q8—41no—
640C4⋊Q8—41no—
641#127—22no—
642#127—22no—
643#127—41no—
644#127—41no—
645#127—41no—
646#127—41no—
647#127—44no—
648#125—41no—
649#125—41no—
650#125—41no—
651#125—41no—
652#124—44no—
653C22⋊Q8—41no—
654C22⋊Q8—41no—
655C22⋊Q8—41no—
656C22⋊Q8—41no—
657C22⋊Q8—41no—
658C22⋊Q8—41no—
659C22⋊Q8—41no—
660C22⋊Q8—41no—
661C22⋊Q8—41no—
662C22⋊Q8—41no—
663C22⋊Q8—41no—
664C22⋊Q8—41no—
665#121—22no—
666#121—22no—
667#121—22no—
668#121—22no—
669#121—22no—
670#121—22no—
671#121—22no—
672#121—22no—
673#121—22no—
674#121—22no—
675#121—44no—
676#121—44no—
677#121—44no—
678#121—44no—
679#121—44no—
680#121—44no—
681#121—41no—
682#121—41no—
683#121—41no—
684#121—41no—
685#121—41no—
686#121—41no—
687#121—41no—
688#121—41no—
689#121—41no—
690#121—41no—
691#121—44no—
692#121—44no—
693#121—44no—
694#121—44no—
695#120—24no—
696#120—44no—
697#120—44no—
698#120—44no—
699#120—44no—
700#120—44no—
701#120—44no—
702#120—44no—
703#120—82no—
704#120—82no—
705C4×D4—22no—
706C4×D4—22no—
707C4×D4—41no—
708C4×D4—41no—
709C4×D4—41no—
710C4×D4—41no—
711C4×D4—41no—
712C4×D4—41no—
713C4×D4—41no—
714C4×D4—41no—
715C4×D4—44no—
716C4×D4—44no—
717C2×C4⋊C4—22no—
718C2×C4⋊C4—22no—
719C2×C4⋊C4—21no—
720C2×C4⋊C4—21no—
721C2×C4⋊C4—21no—
722C2×C4⋊C4—21no—
723C2×C4⋊C4—21no—
724C2×C4⋊C4—21no—
725C2×C4⋊C4—21no—
726C2×C4⋊C4—21no—
727C2×C4⋊C4—21no—
728C2×C4⋊C4—21no—
729C2×C4⋊C4—21no—
730C2×C4⋊C4—21no—
731C2×C4⋊C4—21no—
732C2×C4⋊C4—21no—
733C2×C4⋊C4—21no—
734C2×C4⋊C4—41no—
735C2×C4⋊C4—41no—
736C2×C4⋊C4C2×D411yescharacteristic
737C2×C4⋊C4C2×D411yescharacteristic
738C2×C4⋊C4C2×D411yescharacteristic
739C2×C4⋊C4C2411yescharacteristic
740C2×C4⋊C4C2411yescharacteristic
741C2×C4⋊C4C2411yescharacteristic
742C2×C4⋊C4C2411yescharacteristic
743C2×C4⋊C4C2411yescharacteristic
744C2×C4⋊C4C2411yescharacteristic
745C2×C4⋊C4C2411yescharacteristic
746C2×C4⋊C4C2411yescharacteristic
747C2×C4⋊C4C2411yescharacteristic
748C2×C4⋊C4C2411yescharacteristic
749C2×C22⋊C4—21no—
750C2×C22⋊C4—21no—
751C2×C22⋊C4—21no—
752C2×C22⋊C4—21no—
753C2×C22⋊C4—21no—
754C2×C22⋊C4—21no—
755C2×C22⋊C4—21no—
756C2×C22⋊C4—21no—
757C2×C22⋊C4—21no—
758C2×C22⋊C4—21no—
759C2×C22⋊C4—21no—
760C2×C22⋊C4—21no—
761C2×C22⋊C4—21no—
762C2×C22⋊C4—21no—
763C2×C22⋊C4—21no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
767C2×C22⋊C4—21no—
768C2×C22⋊C4—21no—
769C2×C22⋊C4—21no—
770C2×C22⋊C4—21no—
771C2×C22⋊C4—21no—
772C2×C22⋊C4—21no—
773C2×C22⋊C4—21no—
774C2×C22⋊C4—21no—
775C2×C22⋊C4—21no—
776C2×C22⋊C4—21no—
777C2×C22⋊C4—21no—
778C2×C22⋊C4—21no—
779C2×C22⋊C4—21no—
780C2×C22⋊C4—21no—
781C2×C22⋊C4—21no—
782C2×C22⋊C4—21no—
783C2×C22⋊C4—21no—
784C2×C22⋊C4—21no—
785C2×C22⋊C4—44no—
786C2×C22⋊C4—44no—
787C2×C22⋊C4C2×D411yescharacteristic
788C2×C22⋊C4C2×D411yescharacteristic
789C2×C22⋊C4C2×D411yescharacteristic
790C2×C22⋊C4C2×D411yescharacteristic
791C2×C22⋊C4C2×D411yescharacteristic
792C2×C22⋊C4C2×D411yescharacteristic
793C2×C22⋊C4C2×D411yescharacteristic
794C2×C22⋊C4C2×D411yescharacteristic
795C2×C22⋊C4C2×D411yescharacteristic
796C2×C22⋊C4C2×D411yescharacteristic
797C2×C22⋊C4C2×D411yescharacteristic
798C2×C22⋊C4C2×D411yescharacteristic
799C2×C42—21no—
800C2×C42—21no—
801C2×C42—21no—
802C2×C42—21no—
803C2×C42C2411yescharacteristic
804C2×C42C2411yescharacteristic
805C2×C42C2411yescharacteristic
806#107—22no—
807#107—22no—
808#107—22no—
809#107—41no—
810#107—41no—
811#107—41no—
812#106—22no—
813#106—41no—
814C4⋊C8—41no—
815C4⋊C8—41no—
816C4⋊C8—41no—
817#103—22no—
818#103—22no—
819#103—22no—
820#103—22no—
821#103—41no—
822#103—41no—
823#103—41no—
824#103—41no—
825#102—22no—
826#102—22no—
827#102—22no—
828#102—22no—
829#102—22no—
830#102—22no—
831#102—41no—
832#102—41no—
833#102—41no—
834#102—41no—
835#102—41no—
836#102—41no—
837#102—41no—
838#102—41no—
839#102—41no—
840#102—41no—
841#102—41no—
842#102—41no—
843#102—41no—
844#102—41no—
845#102—41no—
846#102—41no—
847#102—41no—
848#102—41no—
849C22⋊C8—22no—
850C22⋊C8—22no—
851C22⋊C8—41no—
852C22⋊C8—41no—
853C22⋊C8—41no—
854C22⋊C8—41no—
855C22⋊C8—41no—
856C22⋊C8—41no—
857C22⋊C8—41no—
858C22⋊C8—41no—
859C22⋊C8—41no—
860C22⋊C8—41no—
861C22⋊C8—41no—
862#97—22no—
863#97—41no—
864C4×C8—41no—
865#95—21no—
866#95—21no—
867#95—21no—
868#95—21no—
869#95—21no—
870#95—21no—
871#95—21no—
872#95—21no—
873#95—21no—
874#95—21no—
875#95—21no—
876#95—21no—
877#95—21no—
878#95—21no—
879#95—21no—
880#95—21no—
881#95—21no—
882#95—21no—
883#95—21no—
884#95—21no—
885#95—21no—
886#95—21no—
887#95—21no—
888#95—21no—
889#95—21no—
890#95—21no—
891#95—21no—
892#95—21no—
893#95C2×D411yescharacteristic
894#95C2×D411yescharacteristic
895#95C2×D411yescharacteristic
896#95C2×D411yescharacteristic
897#95C2×D411yescharacteristic
898#95C2×D411yescharacteristic
899C24—21no—
900C24—21no—
901C24—22no—
902C24—22no—
903C24—21no—
904C24—21no—
905C24—41no—
906C24—41no—
907C24—41no—
908C24—41no—
909C24—41no—
910C24—42no—
911C24—42no—
912C24—42no—
913C24—42no—
914C24—42no—
915C24—42no—
916C24—42no—
917C24—42no—
918C24—42no—
919C24—42no—
920C24—42no—
921C24—81no—
922C24—81no—
923C24—81no—
924C24—81no—
925C24—81no—
926C24—81no—
927C24—81no—
928C24—81no—
929C24—81no—
930C24—81no—
931C24C22×D411yescharacteristic
932C24C22×D411yescharacteristic
933C24C22×D411yescharacteristic
934C24C22×D411yescharacteristic
935C2×Q8—21no—
936C2×Q8—21no—
937C2×Q8—21no—
938C2×Q8—21no—
939C2×Q8—21no—
940C2×Q8—21no—
941C2×Q8—21no—
942C2×Q8—21no—
943C2×Q8—21no—
944C2×Q8—21no—
945C2×Q8—21no—
946C2×Q8—21no—
947C2×Q8—42no—
948C2×Q8—44no—
949C2×Q8—81no—
950C2×Q8—81no—
951C2×Q8—81no—
952C2×Q8—81no—
953C2×Q8—81no—
954C2×Q8—82no—
955C2×Q8—82no—
956C2×Q8—82no—
957C2×D4—24no—
958C2×D4—24no—
959C2×D4—22no—
960C2×D4—22no—
961C2×D4—22no—
962C2×D4—21no—
963C2×D4—21no—
964C2×D4—21no—
965C2×D4—21no—
966C2×D4—21no—
967C2×D4—21no—
968C2×D4—21no—
969C2×D4—21no—
970C2×D4—21no—
971C2×D4—21no—
972C2×D4—21no—
973C2×D4—21no—
974C2×D4—21no—
975C2×D4—21no—
976C2×D4—21no—
977C2×D4—21no—
978C2×D4—21no—
979C2×D4—21no—
980C2×D4—21no—
981C2×D4—21no—
982C2×D4—21no—
983C2×D4—21no—
984C2×D4—41no—
985C2×D4—41no—
986C2×D4—41no—
987C2×D4—41no—
988C2×D4—41no—
989C2×D4—42no—
990C2×D4—42no—
991C2×D4—42no—
992C2×D4—42no—
993C2×D4—42no—
994C2×D4—42no—
995C2×D4—42no—
996C2×D4—42no—
997C2×D4—42no—
998C2×D4—42no—
999C2×D4—42no—
1000C2×D4—42no—
1001C2×D4—42no—
1002C2×D4—42no—
1003C2×D4—42no—
1004C2×D4—42no—
1005C2×D4—44no—
1006C2×D4—42no—
1007C2×D4—42no—
1008C2×D4—42no—
1009C2×D4—42no—
1010C2×D4—42no—
1011C2×D4—42no—
1012C2×D4—42no—
1013C2×D4—42no—
1014C2×D4—42no—
1015C2×D4—42no—
1016C2×D4—42no—
1017C2×D4—42no—
1018C2×D4—42no—
1019C2×D4—42no—
1020C2×D4—42no—
1021C2×D4—42no—
1022C2×D4—42no—
1023C2×D4—42no—
1024C2×D4—42no—
1025C2×D4—81no—
1026C2×D4—81no—
1027C2×D4—81no—
1028C2×D4—81no—
1029C2×D4—81no—
1030C2×D4—81no—
1031C2×D4—81no—
1032C2×D4—81no—
1033C2×D4—81no—
1034C2×D4—81no—
1035C2×D4—81no—
1036C2×D4—81no—
1037C2×D4—81no—
1038C2×D4—81no—
1039C2×D4—82no—
1040C2×D4—82no—
1041C2×D4—82no—
1042C2×D4—82no—
1043C2×D4—82no—
1044C2×D4—82no—
1045C2×D4—82no—
1046C2×D4—82no—
1047C2×D4—82no—
1048C2×D4—82no—
1049C2×D4—82no—
1050C2×D4—81no—
1051C2×D4—81no—
1052C2×D4—81no—
1053C2×D4—81no—
1054C2×D4—81no—
1055C2×D4—81no—
1056C2×D4—816no—
1057C2×D4—816no—
1058C2×D4—816no—
1059C2×D4—816no—
1060C2×D4AGL(1,ℤ/8)14yes—
1061C2×D4H(5,𝔽2)12yes—
1062C2×D4H(5,𝔽2)12yes—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4—21no—
1089C22×C4—21no—
1090C22×C4—21no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
1095C22×C4—21no—
1096C22×C4—21no—
1097C22×C4—21no—
1098C22×C4—21no—
1099C22×C4—41no—
1100C22×C4—41no—
1101C22×C4—41no—
1102C22×C4—41no—
1103C22×C4—41no—
1104C22×C4—41no—
1105C22×C4—41no—
1106C22×C4—41no—
1107C22×C4—41no—
1108C22×C4—42no—
1109C22×C4—42no—
1110C22×C4—42no—
1111C22×C4—42no—
1112C22×C4—42no—
1113C22×C4—42no—
1114C22×C4—42no—
1115C22×C4—42no—
1116C22×C4—81no—
1117C22×C4—81no—
1118C22×C4—82no—
1119C22×C4—82no—
1120C22×C4—82no—
1121C22×C4—82no—
1122C22×C4—81no—
1123C22×C4—81no—
1124C22×C4—81no—
1125C22×C4—81no—
1126C22×C4—81no—
1127C22×C4C22×D411yescharacteristic
1128C22×C4C22×D411yescharacteristic
1129C22×C4C22×D411yescharacteristic
1130C22×C4C22×D411yescharacteristic
1131C22×C4C22×D411yescharacteristic
1132C22×C4C22×D411yescharacteristic
1133C22×C4C22×D411yescharacteristic
1134C22×C4C22×D411yescharacteristic
1135C22×C4C22×D411yescharacteristic
1136C22×C4C22×D411yescharacteristic
1137C22×C4C2511yescharacteristic
1138SD16—44no—
1139SD16—44no—
1140SD16—44no—
1141SD16—44no—
1142SD16—82no—
1143SD16—82no—
1144SD16—82no—
1145SD16—82no—
1146M16—82no—
1147M16—82no—
1148C2×C8—21no—
1149C2×C8—21no—
1150C2×C8—21no—
1151C2×C8—21no—
1152C2×C8—21no—
1153C2×C8—21no—
1154C2×C8—21no—
1155C2×C8—21no—
1156C2×C8—21no—
1157C2×C8—21no—
1158C2×C8—21no—
1159C2×C8—21no—
1160C2×C8—21no—
1161C2×C8—21no—
1162C2×C8—21no—
1163C2×C8—21no—
1164C2×C8—21no—
1165C2×C8—21no—
1166C2×C8—21no—
1167C2×C8—21no—
1168C2×C8—21no—
1169C2×C8—21no—
1170C2×C8—21no—
1171C2×C8—44no—
1172C2×C8H(5,𝔽2)12yes—
1173C4⋊C4—21no—
1174C4⋊C4—21no—
1175C4⋊C4—21no—
1176C4⋊C4—21no—
1177C4⋊C4—21no—
1178C4⋊C4—21no—
1179C4⋊C4—21no—
1180C4⋊C4—21no—
1181C4⋊C4—21no—
1182C4⋊C4—21no—
1183C4⋊C4—21no—
1184C4⋊C4—21no—
1185C4⋊C4—21no—
1186C4⋊C4—21no—
1187C4⋊C4—21no—
1188C4⋊C4—21no—
1189C4⋊C4—21no—
1190C4⋊C4—21no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C4⋊C4—42no—
1195C4⋊C4—42no—
1196C4⋊C4—42no—
1197C4⋊C4—42no—
1198C4⋊C4—81no—
1199C4⋊C4—81no—
1200C4⋊C4—81no—
1201C4⋊C4—81no—
1202C4⋊C4—81no—
1203C4⋊C4—81no—
1204C4⋊C4—81no—
1205C4⋊C4—81no—
1206C4⋊C4—81no—
1207C4⋊C4—81no—
1208C4⋊C4—81no—
1209C4⋊C4H(5,𝔽2)12yes—
1210C4⋊C4H(5,𝔽2)12yes—
1211C22⋊C4—24no—
1212C22⋊C4—24no—
1213C22⋊C4—22no—
1214C22⋊C4—22no—
1215C22⋊C4—22no—
1216C22⋊C4—22no—
1217C22⋊C4—41no—
1218C22⋊C4—41no—
1219C22⋊C4—41no—
1220C22⋊C4—41no—
1221C22⋊C4—41no—
1222C22⋊C4—41no—
1223C22⋊C4—41no—
1224C22⋊C4—41no—
1225C22⋊C4—42no—
1226C22⋊C4—42no—
1227C22⋊C4—42no—
1228C22⋊C4—42no—
1229C22⋊C4—42no—
1230C22⋊C4—42no—
1231C22⋊C4—42no—
1232C22⋊C4—42no—
1233C22⋊C4—42no—
1234C22⋊C4—42no—
1235C22⋊C4—42no—
1236C22⋊C4—42no—
1237C22⋊C4—42no—
1238C22⋊C4—42no—
1239C22⋊C4—42no—
1240C22⋊C4—42no—
1241C22⋊C4—42no—
1242C22⋊C4—42no—
1243C22⋊C4—42no—
1244C22⋊C4—42no—
1245C22⋊C4—42no—
1246C22⋊C4—81no—
1247C22⋊C4—81no—
1248C22⋊C4—81no—
1249C22⋊C4—81no—
1250C22⋊C4—81no—
1251C22⋊C4—81no—
1252C22⋊C4—81no—
1253C22⋊C4—81no—
1254C22⋊C4—81no—
1255C22⋊C4—81no—
1256C22⋊C4—81no—
1257C22⋊C4—81no—
1258C22⋊C4—81no—
1259C42—21no—
1260C42—21no—
1261C42—21no—
1262C42—21no—
1263C42—21no—
1264C42—21no—
1265C42—42no—
1266C42—42no—
1267C42—81no—
1268C42—81no—
1269C23—21no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—22no—
1290C23—22no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—44no—
1297C23—44no—
1298C23—41no—
1299C23—41no—
1300C23—41no—
1301C23—41no—
1302C23—41no—
1303C23—41no—
1304C23—41no—
1305C23—41no—
1306C23—41no—
1307C23—41no—
1308C23—41no—
1309C23—41no—
1310C23—41no—
1311C23—41no—
1312C23—41no—
1313C23—41no—
1314C23—41no—
1315C23—41no—
1316C23—41no—
1317C23—41no—
1318C23—41no—
1319C23—41no—
1320C23—41no—
1321C23—41no—
1322C23—41no—
1323C23—41no—
1324C23—82no—
1325C23—82no—
1326C23—82no—
1327C23—84no—
1328C23—84no—
1329C23—84no—
1330C23—84no—
1331C23—84no—
1332C23—84no—
1333C23—82no—
1334C23—82no—
1335C23—84no—
1336C23—84no—
1337C23—84no—
1338C23—84no—
1339C23—84no—
1340C23—162no—
1341C23—162no—
1342C23—162no—
1343C23—162no—
1344C23—162no—
1345C23—162no—
1346C23—162no—
1347C23—162no—
1348C23—162no—
1349C23—162no—
1350C23C2×AGL(1,ℤ/8)12yes—
1351C23C2×AGL(1,ℤ/8)12yes—
1352C23#57712yes—
1353C23C23×D411yescharacteristic
1354Q8—41no—
1355Q8—41no—
1356Q8—41no—
1357Q8—41no—
1358Q8—41no—
1359Q8—41no—
1360Q8—41no—
1361Q8—41no—
1362Q8—84no—
1363Q8—162no—
1364D4—22no—
1365D4—22no—
1366D4—22no—
1367D4—22no—
1368D4—44no—
1369D4—44no—
1370D4—48no—
1371D4—48no—
1372D4—41no—
1373D4—41no—
1374D4—41no—
1375D4—41no—
1376D4—41no—
1377D4—41no—
1378D4—41no—
1379D4—41no—
1380D4—41no—
1381D4—41no—
1382D4—41no—
1383D4—41no—
1384D4—84no—
1385D4—82no—
1386D4—84no—
1387D4—84no—
1388D4—84no—
1389D4—84no—
1390D4—84no—
1391D4—84no—
1392D4—84no—
1393D4—84no—
1394D4—84no—
1395D4—84no—
1396D4—84no—
1397D4—84no—
1398D4—162no—
1399D4—162no—
1400D4—162no—
1401D4—162no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—41no—
1455C2×C4—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—41no—
1466C2×C4—41no—
1467C2×C4—41no—
1468C2×C4—41no—
1469C2×C4—41no—
1470C2×C4—41no—
1471C2×C4—41no—
1472C2×C4—41no—
1473C2×C4—41no—
1474C2×C4—41no—
1475C2×C4—41no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—41no—
1479C2×C4—41no—
1480C2×C4—41no—
1481C2×C4—41no—
1482C2×C4—41no—
1483C2×C4—84no—
1484C2×C4—82no—
1485C2×C4—82no—
1486C2×C4—82no—
1487C2×C4—84no—
1488C2×C4—84no—
1489C2×C4—84no—
1490C2×C4—84no—
1491C2×C4C2×AGL(1,ℤ/8)12yes—
1492C2×C4C2×H(5,𝔽2)11yescharacteristic
1493C2×C4C2×H(5,𝔽2)11yescharacteristic
1494C2×C4C2×H(5,𝔽2)11yescharacteristic
1495C2×C4C2×H(5,𝔽2)11yescharacteristic
1496C2×C4C2×H(5,𝔽2)11yescharacteristic
1497C2×C4#58511yescharacteristic
1498C8—22no—
1499C8—41no—
1500C8—41no—
1501C8—41no—
1502C8—41no—
1503C8—41no—
1504C8—41no—
1505C8—41no—
1506C22—22no—
1507C22—22no—
1508C22—22no—
1509C22—22no—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—42no—
1529C22—42no—
1530C22—41no—
1531C22—41no—
1532C22—42no—
1533C22—41no—
1534C22—42no—
1535C22—41no—
1536C22—42no—
1537C22—41no—
1538C22—42no—
1539C22—41no—
1540C22—88no—
1541C22—81no—
1542C22—81no—
1543C22—81no—
1544C22—81no—
1545C22—81no—
1546C22—81no—
1547C22—81no—
1548C22—81no—
1549C22—81no—
1550C22—81no—
1551C22—81no—
1552C22—81no—
1553C22—81no—
1554C22—81no—
1555C22—81no—
1556C22—81no—
1557C22—81no—
1558C22—81no—
1559C22—81no—
1560C22—81no—
1561C22—81no—
1562C22—81no—
1563C22—168no—
1564C22—168no—
1565C22—168no—
1566C22#348411yescharacteristic
1567C22#348411yescharacteristic
1568C22#349611yescharacteristic
1569C22C22×AGL(1,ℤ/8)11yescharacteristic
1570C22C2×#57711yescharacteristic
1571C22#358511yescharacteristic
1572C22#358611yescharacteristic
1573C4—22no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—42no—
1581C4—41no—
1582C4—42no—
1583C4—41no—
1584C4—41no—
1585C4—81no—
1586C4—81no—
1587C4—81no—
1588C4—81no—
1589C4—81no—
1590C4—81no—
1591C4—81no—
1592C4—81no—
1593C4—81no—
1594C4—81no—
1595C4#353211yescharacteristic
1596C4#354911yescharacteristic
1597C4#355811yescharacteristic
1598C4#355811yescharacteristic
1599C2—42no—
1600C2—42no—
1601C2—42no—
1602C2—81no—
1603C2—82no—
1604C2—82no—
1605C2—161no—
1606C2—161no—
1607C2#4792911yescharacteristic
1608C2#6157111yescharacteristic
1609C2#6160011yescharacteristic
1610C2#6161811yescharacteristic
1611C2#6165411yescharacteristic
1612C2#6229511yescharacteristic
1613C2#6230811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#58997C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#120 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #45667C2semidirect
3. #31328C2semidirect
4. #31318C2semidirect
5. #31276C2semidirect
6. #31043C2semidirect
7. #31027C2semidirect
8. #30931C2semidirect
9. #30926C2semidirect
10. #30547C2semidirect
11. #30547C2semidirect
12. #30547C2semidirect
13. #30527C2semidirect
14. #30516C2semidirect
15. #29598C2semidirect
16. #29596C2semidirect
17. #28923C2semidirect
18. #28914C2semidirect
19. #28609C2semidirect
20. #26803C2semidirect
21. #26800C2semidirect
22. #26736C2semidirect
23. #26721C2semidirect
24. #25891C2semidirect
25. #25885C2semidirect
26. #24385C2semidirect
27. #24385C2semidirect
28. #24269C2semidirect
29. #23849C2semidirect
30. #23849C2semidirect
31. #22036C2semidirect
32. C23×SD16C22semidirect
38. C2×#490C22semidirect
39. C2×#490C22semidirect
40. C2×#486C22semidirect
41. C2×#484C22semidirect
42. C2×#483C22semidirect
43. C2×#478C22semidirect
44. C2×#474C22semidirect
45. C2×#468C22semidirect
46. C2×#468C22semidirect
47. C2×#468C22semidirect
48. C2×#468C22semidirect
49. C2×#448C22semidirect
50. C2×#448C22semidirect
51. C2×#450C22semidirect
52. C2×#450C22semidirect
53. C2×#450C22semidirect
54. C2×#450C22semidirect
55. C2×#435C22semidirect
56. C2×#407C22semidirect
57. #2848C22semidirect
58. #2848C22semidirect
68. #2562C22semidirect
69. #2562C22semidirect
70. #2547C22semidirect
72. #2492C22semidirect
73. #2492C22semidirect
74. #2489C22semidirect
75. #2489C22semidirect
76. #2489C22semidirect
77. #2489C22semidirect
88. #2409C22semidirect
89. #2409C22semidirect
90. #2409C22semidirect
97. #2077C22semidirect
98. #2075C22semidirect
99. #2068C22semidirect
100. #2066C22semidirect
101. #2059C22semidirect
102. #2057C22semidirect
103. #2055C22semidirect
104. #2055C22semidirect
105. #2055C22semidirect
106. #2055C22semidirect
108. #2034C22semidirect
109. #2034C22semidirect
110. #2034C22semidirect
111. #2034C22semidirect
115. #2033C22semidirect
116. #2033C22semidirect
117. #2033C22semidirect
118. #2033C22semidirect
119. #2033C22semidirect
120. #2033C22semidirect
121. #2033C22semidirect
122. #2033C22semidirect
123. #2025C22semidirect
124. #2025C22semidirect
125. #2025C22semidirect
126. #2023C22semidirect
127. #2014C22semidirect
128. #2014C22semidirect
129. #2014C22semidirect
130. #2014C22semidirect
131. #2014C22semidirect
132. #2014C22semidirect
137. #2000C22semidirect
138. #2000C22semidirect
139. #2000C22semidirect
140. #2000C22semidirect
141. #2000C22semidirect
142. #2000C22semidirect
143. #2000C22semidirect
144. #2000C22semidirect
145. #1989C22semidirect
146. #1982C22semidirect
147. #1982C22semidirect
148. #1982C22semidirect
149. #1973C22semidirect
150. #1973C22semidirect
151. #1973C22semidirect
152. #1968C22semidirect
153. #1955C22semidirect
154. #1954C22semidirect
155. #1935C22semidirect
156. #1933C22semidirect
157. #1928C22semidirect
158. #1928C22semidirect
159. #1926C22semidirect
160. #1925C22semidirect
161. #1925C22semidirect
162. #1925C22semidirect
163. #1924C22semidirect
164. #1924C22semidirect
165. #1924C22semidirect
166. #1923C22semidirect
167. #1921C22semidirect
168. #1918C22semidirect
169. #1895C22semidirect
170. #1895C22semidirect
171. #1895C22semidirect
172. #1895C22semidirect
173. #1893C22semidirect
174. #1893C22semidirect
175. #1877C22semidirect
176. #1877C22semidirect
177. #1877C22semidirect
178. #1877C22semidirect
179. #1872C22semidirect
180. #1872C22semidirect
181. #1870C22semidirect
182. #1869C22semidirect
183. #1869C22semidirect
184. #1852C22semidirect
185. #1852C22semidirect
186. #1851C22semidirect
187. #1824C22semidirect
188. #1823C22semidirect
189. #1808C22semidirect
190. #1787C22semidirect
191. #1786C22semidirect
192. #1786C22semidirect
193. #1786C22semidirect
194. #1786C22semidirect
195. #1786C22semidirect
196. #1786C22semidirect
197. #1786C22semidirect
198. #1779C22semidirect
199. #1776C22semidirect
200. #1762C22semidirect
201. C4×#102C22semidirect
202. #1753C22semidirect

Maximal subgroups

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

subgroupindex
#589972
#456672
#313282
#313182
#312762
#310432
#310272
#309312
#309262
#305472
#305272
#305162
#295982
#295962
#289232
#289142
#286092
#268032
#268002
#267362
#267212
#258912
#258852
#243852
#242692
#238492
#220362