Finite Group Databasebeta

← #7303110

Subgroups — #7303110

Order 512.

2110 conjugacy classes of subgroups.

The subgroup lattice has 1594 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59059C211yesmaximal, characteristic, complemented
2#39358C211yesmaximal, characteristic, complemented
3#31734C211yesmaximal, characteristic, complemented
4#31727C211yesmaximal, characteristic, complemented
5#30761C211yesmaximal, characteristic, complemented
6#30743C211yesmaximal, characteristic, complemented
7#30723C211yesmaximal, characteristic, complemented
8#30715C211yesmaximal, characteristic, complemented
9#30607C211yesmaximal, characteristic, complemented
10#30597C211yesmaximal, characteristic, complemented
11#30511C211yesmaximal, characteristic, complemented
12#30501C211yesmaximal, characteristic, complemented
13#30460C211yesmaximal, characteristic, complemented
14#30456C211yesmaximal, characteristic, complemented
15#30108C211yesmaximal, characteristic, complemented
16#29662C211yesmaximal, characteristic, complemented
17#28123C211yesmaximal, characteristic, complemented
18#26716C211yesmaximal, characteristic, complemented
19#26697C211yesmaximal, characteristic, complemented
20#26680C211yesmaximal, characteristic, complemented
21#26656C211yesmaximal, characteristic, complemented
22#25763C211yesmaximal, characteristic, complemented
23#25753C211yesmaximal, characteristic, complemented
24#25093C211yesmaximal, characteristic, complemented
25#25076C211yesmaximal, characteristic, complemented
26#24440C211yesmaximal, characteristic, complemented
27#24432C211yesmaximal, characteristic, complemented
28#23982C211yesmaximal, characteristic, complemented
29#23966C211yesmaximal, characteristic, complemented
30#23936C211yesmaximal, characteristic, complemented
31#23329C211yesmaximal, characteristic, complemented
32C2×#552C2211yescharacteristic, complemented
33C2×D42C2211yescharacteristic
34C2×D42C2211yescharacteristic
35C2×#534—21no—
36C2×#529C2211yescharacteristic, complemented
37C2×#496C2211yescharacteristic
38C2×#492C2211yescharacteristic
39C2×#484C2211yescharacteristic, complemented
40C2×#469C2211yescharacteristic
41C2×#468C2211yescharacteristic, complemented
42C2×#466C2211yescharacteristic, complemented
43C2×#465C2211yescharacteristic
44C2×#460C2211yescharacteristic, complemented
45C2×#463C2211yescharacteristic, complemented
46C2×#461C2211yescharacteristic, complemented
47C2×#459C2211yescharacteristic, complemented
48C2×#450C2211yescharacteristic
49C2×#450C2211yescharacteristic
50C2×#450C2211yescharacteristic, complemented
51C2×#450C2211yescharacteristic, complemented
52C2×#450C2211yescharacteristic, complemented
53C2×#450C2211yescharacteristic, complemented
54C2×#447C2211yescharacteristic
55C2×#447C2211yescharacteristic, complemented
56C2×#447C2211yescharacteristic, complemented
57C2×#418C2211yescharacteristic, complemented
58C22×#102C2211yescharacteristic, complemented
59#2856C2211yescharacteristic
60#2721—21no—
61#2705—21no—
62#2682—21no—
63#2679—21no—
64#2678—21no—
65#2678—21no—
66#2617—21no—
67#2554—21no—
68#2545C2211yescharacteristic, complemented
69#2542C2211yescharacteristic, complemented
70#2540C2211yescharacteristic, complemented
71#2540C2211yescharacteristic, complemented
72#2479—21no—
73#2471—21no—
74#2456—21no—
75#2454—21no—
76#2445C2211yescharacteristic
77#2445C2211yescharacteristic
78#2433C2211yescharacteristic
79#2433C2211yescharacteristic
80#2429C2211yescharacteristic, complemented
81#2427C2211yescharacteristic, complemented
82#2422C2211yescharacteristic
83#2422C2211yescharacteristic
84#2417C2211yescharacteristic, complemented
85#2416C2211yescharacteristic
86#2416C2211yescharacteristic
87#2414C2211yescharacteristic, complemented
88#2410—21no—
89#2410—21no—
90#2408C2211yescharacteristic
91#2408C2211yescharacteristic
92#2370C2211yescharacteristic, complemented
93#2362C2211yescharacteristic, complemented
94#2361C2211yescharacteristic, complemented
95#2354—21no—
96C4×C22⋊Q8C2211yescharacteristic, complemented
97C4×#121C2211yescharacteristic
98C2×#390C2211yescharacteristic
99#2099C2211yescharacteristic, complemented
100#2096C2211yescharacteristic, complemented
101#2088C2211yescharacteristic, complemented
102#2088C2211yescharacteristic, complemented
103#2067C2211yescharacteristic, complemented
104#2067C2211yescharacteristic, complemented
105#2055C2211yescharacteristic, complemented
106#2055C2211yescharacteristic, complemented
107#2055C2211yescharacteristic, complemented
108#2054C2211yescharacteristic, complemented
109#2043C2211yescharacteristic, complemented
110#2042C2211yescharacteristic, complemented
111#2041C2211yescharacteristic
112#2041C2211yescharacteristic
113#2041C2211yescharacteristic, complemented
114#2036C2211yescharacteristic, complemented
115#2035C2211yescharacteristic, complemented
116#2034C2211yescharacteristic, complemented
117#2034C2211yescharacteristic, complemented
118#2034C2211yescharacteristic, complemented
119#2033C2211yescharacteristic, complemented
120#2025C2211yescharacteristic, complemented
121#2025C2211yescharacteristic, complemented
122#2025C2211yescharacteristic, complemented
123#2025C2211yescharacteristic, complemented
124#2014C2211yescharacteristic
125#2014C2211yescharacteristic, complemented
126#2013C2211yescharacteristic, complemented
127#2012C2211yescharacteristic, complemented
128#2012C2211yescharacteristic, complemented
129#2012C2211yescharacteristic, complemented
130#2012C2211yescharacteristic, complemented
131#2012C2211yescharacteristic, complemented
132#2011C2211yescharacteristic
133#2000C2211yescharacteristic
134#2000C2211yescharacteristic
135#2000C2211yescharacteristic
136#2000C2211yescharacteristic, complemented
137#2000C2211yescharacteristic, complemented
138#2000C2211yescharacteristic, complemented
139#2000C2211yescharacteristic, complemented
140#2000C2211yescharacteristic, complemented
141#2000C2211yescharacteristic, complemented
142#2000C2211yescharacteristic, complemented
143#1999C2211yescharacteristic
144#1999C2211yescharacteristic, complemented
145#1999C2211yescharacteristic, complemented
146#1999C2211yescharacteristic, complemented
147#1982C2211yescharacteristic
148#1982C2211yescharacteristic
149#1955C2211yescharacteristic, complemented
150#1954C2211yescharacteristic, complemented
151#1936C2211yescharacteristic, complemented
152#1935C2211yescharacteristic, complemented
153#1934C2211yescharacteristic, complemented
154#1934C2211yescharacteristic, complemented
155#1926C2211yescharacteristic, complemented
156#1926C2211yescharacteristic, complemented
157#1925C2211yescharacteristic, complemented
158#1925C2211yescharacteristic, complemented
159#1925C2211yescharacteristic, complemented
160#1925C2211yescharacteristic, complemented
161#1924C2211yescharacteristic, complemented
162#1923C2211yescharacteristic, complemented
163#1921C2211yescharacteristic, complemented
164#1918C2211yescharacteristic, complemented
165#1917C2211yescharacteristic, complemented
166#1916C2211yescharacteristic, complemented
167#1894C2211yescharacteristic, complemented
168#1892C2211yescharacteristic, complemented
169#1880C2211yescharacteristic, complemented
170#1880C2211yescharacteristic, complemented
171#1880C2211yescharacteristic, complemented
172#1880C2211yescharacteristic, complemented
173#1880C2211yescharacteristic, complemented
174#1880C2211yescharacteristic, complemented
175#1879C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1877C2211yescharacteristic, complemented
179#1875C2211yescharacteristic
180#1875C2211yescharacteristic, complemented
181#1874C2211yescharacteristic
182#1874C2211yescharacteristic, complemented
183#1874C2211yescharacteristic, complemented
184#1872C2211yescharacteristic, complemented
185#1870C2211yescharacteristic, complemented
186#1870C2211yescharacteristic, complemented
187#1869C2211yescharacteristic, complemented
188#1869C2211yescharacteristic, complemented
189#1864C2211yescharacteristic, complemented
190#1864C2211yescharacteristic, complemented
191#1851C2211yescharacteristic, complemented
192#1850C2211yescharacteristic, complemented
193#1825C2211yescharacteristic, complemented
194#1824C2211yescharacteristic, complemented
195#1823C2211yescharacteristic, complemented
196#1817C2211yescharacteristic, complemented
197#1803C2211yescharacteristic, complemented
198#1802C2211yescharacteristic, complemented
199#1797C2211yescharacteristic, complemented
200#1786C2211yescharacteristic
201#1762C2211yescharacteristic, complemented
202C4×#102C2211yescharacteristic, complemented
203C23×D4—21no—
204C23×D4—21no—
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×M16C2311yescharacteristic
221C23×C8C2311yescharacteristic
222#552—42no—
223#552—42no—
224D42—42no—
225D42—42no—
226D42—42no—
227D42—42no—
228#534—48no—
229C2×C4⋊Q8C2311yescharacteristic
230C2×#127C2311yescharacteristic
231C2×#127C2311yescharacteristic
232C2×#127C2311yescharacteristic
233#529—42no—
234#529—42no—
235C2×#126—21no—
236C2×#126—21no—
237C2×#125—21no—
238C2×#125C2311yescharacteristic
239C2×#124C2311yescharacteristic
240C2×#124C2311yescharacteristic
241C2×#123—21no—
242C2×#123—21no—
243C2×#123—21no—
244C2×#123—21no—
245C2×#123—21no—
246C2×#123—21no—
247C2×C22⋊Q8C2311yescharacteristic
248C2×C22⋊Q8C2311yescharacteristic
249C2×C22⋊Q8C2311yescharacteristic
250C2×C22⋊Q8C2311yescharacteristic
251C2×C22⋊Q8C2311yescharacteristic
252C2×C22⋊Q8C2311yescharacteristic
253C2×#121—21no—
254C2×#121—21no—
255C2×#121—21no—
256C2×#121—21no—
257C2×#121—21no—
258C2×#121—21no—
259C2×#121D411yescharacteristic
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×#120—21no—
279C2×C4×Q8C2311yescharacteristic
280C2×C4×Q8C2311yescharacteristic
281C2×C4×D4—21no—
282C2×C4×D4—21no—
283C2×C4×D4C2311yescharacteristic
284C2×C4×D4C2311yescharacteristic
285C2×C4×D4C2311yescharacteristic
286C2×C4×D4C2311yescharacteristic
287C2×C4×D4C2311yescharacteristic
288C2×C4×D4C2311yescharacteristic
289C2×#117—21no—
290C2×#117—21no—
291C2×#117C2311yescharacteristic
292C22×C4⋊C4C2311yescharacteristic
293C22×C4⋊C4C2311yescharacteristic
294C22×C22⋊C4—21no—
295C22×C22⋊C4—21no—
296C22×C42C2311yescharacteristic
297#496—42no—
298#492—42no—
299#484—42no—
300#469—42no—
301#468—42no—
302#466—42no—
303#465—42no—
304#463—42no—
305#461—42no—
306#460—42no—
307#459—42no—
308#450—42no—
309#450—42no—
310#450—42no—
311#450—42no—
312#450—42no—
313#450—42no—
314#447—42no—
315#447—42no—
316#447—42no—
317C2×#107C2311yescharacteristic
318C2×#107C2311yescharacteristic
319C2×#106C2311yescharacteristic
320C2×#106C2311yescharacteristic
321C2×C4⋊C8C2311yescharacteristic
322C2×C4⋊C8C2311yescharacteristic
323C2×C4⋊C8C2311yescharacteristic
324C2×C4⋊C8C2311yescharacteristic
325#418—42no—
326C2×#103C2311yescharacteristic
327C2×#103C2311yescharacteristic
328C2×#103C2311yescharacteristic
329C2×#103C2311yescharacteristic
330C2×#103C2311yescharacteristic
331C2×#103C2311yescharacteristic
332C2×#103C2311yescharacteristic
333C2×#103C2311yescharacteristic
334C2×#102—42no—
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
351C2×#102C2311yescharacteristic
352C2×#102C2311yescharacteristic
353C2×#102C2311yescharacteristic
354C2×#102C2311yescharacteristic
355C2×#102C2311yescharacteristic
356C2×#102C2311yescharacteristic
357C2×#102C2311yescharacteristic
358C2×#102C2311yescharacteristic
359C2×C22⋊C8C2311yescharacteristic
360C2×C22⋊C8C2311yescharacteristic
361C2×C22⋊C8C2311yescharacteristic
362C2×C22⋊C8C2311yescharacteristic
363C2×C22⋊C8C2311yescharacteristic
364C2×C22⋊C8C2311yescharacteristic
365C2×C22⋊C8C2311yescharacteristic
366C2×C22⋊C8C2311yescharacteristic
367C2×C22⋊C8C2311yescharacteristic
368C2×C22⋊C8C2311yescharacteristic
369C2×#97C2311yescharacteristic
370C2×C4×C8C2311yescharacteristic
371#399—21no—
372#399—21no—
373#399—21no—
374#399—21no—
375#398—21no—
376#398—21no—
377#397—21no—
378#397—21no—
379#397—21no—
380#396—21no—
381#396—21no—
382#396—21no—
383#396—21no—
384#396—21no—
385#396—21no—
386#394—21no—
387#394—21no—
388#394—21no—
389#394—21no—
390#394—21no—
391#394—21no—
392#394—21no—
393#394—21no—
394#394—21no—
395#394—21no—
396#394—21no—
397#394—21no—
398#392—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#391C2311yescharacteristic
408#391C2311yescharacteristic
409#390—21no—
410#390—21no—
411#390—21no—
412#390—21no—
413#390—21no—
414#390—21no—
415#390—21no—
416#390—21no—
417#390—21no—
418#390—21no—
419#390D411yescharacteristic
420#390C2311yescharacteristic
421#390C2311yescharacteristic
422#390C2311yescharacteristic
423#390C2311yescharacteristic
424#390C2311yescharacteristic
425#390C2311yescharacteristic
426#390C2311yescharacteristic
427#390C2311yescharacteristic
428#390C2311yescharacteristic
429#389—21no—
430#389—21no—
431#389D411yescharacteristic
432#389C2311yescharacteristic
433#389C2311yescharacteristic
434#389C2311yescharacteristic
435#389C2311yescharacteristic
436#389C2311yescharacteristic
437#388—21no—
438#388—21no—
439#388—21no—
440#388—21no—
441#388—21no—
442#388—21no—
443#388—21no—
444#388D411yescharacteristic
445#388D411yescharacteristic
446#387—21no—
447#387—21no—
448#387—21no—
449#387—21no—
450#386—21no—
451#386—21no—
452#386—21no—
453#386—21no—
454#386—21no—
455#386—21no—
456#386—21no—
457#386D411yescharacteristic
458#386D411yescharacteristic
459#385—21no—
460#385—21no—
461#385—21no—
462#385—21no—
463#384—21no—
464#384C2311yescharacteristic
465#380—21no—
466#380—21no—
467#380D411yescharacteristic
468#380C2311yescharacteristic
469#380C2311yescharacteristic
470#380C2311yescharacteristic
471#379—21no—
472#379—21no—
473C4×C4⋊C4—21no—
474C4×C4⋊C4—21no—
475C4×C4⋊C4—21no—
476C4×C4⋊C4C2311yescharacteristic
477C4×C4⋊C4C2311yescharacteristic
478C4×C4⋊C4C2311yescharacteristic
479C4×C4⋊C4C2311yescharacteristic
480C4×C22⋊C4—21no—
481C4×C22⋊C4C2311yescharacteristic
482C4×C22⋊C4C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
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#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505#336C2311yescharacteristic
506#336C2311yescharacteristic
507#336C2311yescharacteristic
508#336C2311yescharacteristic
509C25—21no—
510C25—21no—
511C25—21no—
512C22×Q8C2411yescharacteristic
513C22×Q8C2411yescharacteristic
514C22×D4—22no—
515C22×D4—22no—
516C22×D4—22no—
517C22×D4—22no—
518C22×D4—21no—
519C22×D4—21no—
520C22×D4—21no—
521C22×D4—21no—
522C22×D4—21no—
523C22×D4—21no—
524C22×D4—21no—
525C22×D4—21no—
526C22×D4—21no—
527C22×D4—21no—
528C22×D4—21no—
529C22×D4—21no—
530C22×D4—21no—
531C22×D4—21no—
532C22×D4—21no—
533C22×D4—21no—
534C22×D4—21no—
535C22×D4—21no—
536C22×D4—41no—
537C22×D4—41no—
538C22×D4—41no—
539C22×D4—41no—
540C22×D4—41no—
541C22×D4—41no—
542C22×D4—41no—
543C22×D4—41no—
544C22×D4—41no—
545C22×D4—41no—
546C22×D4—41no—
547C22×D4—41no—
548C22×D4—41no—
549C22×D4—41no—
550C22×D4—44no—
551C22×D4—44no—
552C22×D4—44no—
553C22×D4—44no—
554C22×D4—82no—
555C22×D4—82no—
556C22×D4C2×D411yescharacteristic
557C22×D4C2×D411yescharacteristic
558C22×D4C2×D411yescharacteristic
559C22×D4C2411yescharacteristic
560C22×D4C2411yescharacteristic
561C22×D4C2411yescharacteristic
562C22×D4C2411yescharacteristic
563C22×D4C2411yescharacteristic
564C23×C4—21no—
565C23×C4—21no—
566C23×C4—21no—
567C23×C4—21no—
568C23×C4—21no—
569C23×C4C2×D411yescharacteristic
570C23×C4C2×D411yescharacteristic
571C23×C4C2411yescharacteristic
572C23×C4C2411yescharacteristic
573C23×C4C2411yescharacteristic
574C2×SD16—22no—
575C2×SD16—22no—
576C2×SD16—22no—
577C2×SD16—22no—
578C2×SD16—41no—
579C2×SD16—41no—
580C2×SD16—41no—
581C2×SD16—41no—
582C2×SD16—41no—
583C2×SD16—41no—
584C2×SD16—41no—
585C2×SD16—41no—
586C2×SD16—41no—
587C2×SD16—41no—
588C2×SD16—41no—
589C2×SD16—41no—
590C2×SD16—41no—
591C2×SD16—41no—
592C2×SD16—41no—
593C2×SD16—41no—
594C2×SD16—41no—
595C2×SD16—41no—
596C2×SD16—41no—
597C2×SD16—41no—
598C2×D8—22no—
599C2×D8—22no—
600C2×D8—41no—
601C2×D8—41no—
602C2×D8—41no—
603C2×D8—41no—
604C2×D8—41no—
605C2×D8—41no—
606C2×D8—41no—
607C2×D8—41no—
608C2×D8—41no—
609C2×D8—41no—
610C2×M16—41no—
611C2×M16—41no—
612C2×M16—41no—
613C22×C8—41no—
614C22×C8—41no—
615C22×C8—41no—
616C22×C8C2411yescharacteristic
617C22×C8C2411yescharacteristic
618C22×C8C2411yescharacteristic
619C22×C8C2411yescharacteristic
620C22×C8C2411yescharacteristic
621C22×C8C2411yescharacteristic
622C22×C8C2411yescharacteristic
623C22×C8C2411yescharacteristic
624C4⋊Q8—41no—
625C4⋊Q8—41no—
626#127—22no—
627#127—22no—
628#127—41no—
629#127—41no—
630#127—41no—
631#127—41no—
632#126—44no—
633#126—44no—
634#125—22no—
635#125—22no—
636#125—44no—
637#124—41no—
638#124—41no—
639#124—41no—
640#124—41no—
641#123—44no—
642#123—44no—
643#123—44no—
644#123—44no—
645#123—44no—
646#123—44no—
647C22⋊Q8—22no—
648C22⋊Q8—22no—
649C22⋊Q8—22no—
650C22⋊Q8—22no—
651C22⋊Q8—22no—
652C22⋊Q8—41no—
653C22⋊Q8—41no—
654C22⋊Q8—41no—
655C22⋊Q8—41no—
656C22⋊Q8—41no—
657C22⋊Q8—41no—
658C22⋊Q8—41no—
659#121—24no—
660#121—22no—
661#121—22no—
662#121—22no—
663#121—22no—
664#121—41no—
665#121—41no—
666#121—41no—
667#121—41no—
668#121—41no—
669#121—41no—
670#121—41no—
671#121—41no—
672#121—44no—
673#121—44no—
674#121—44no—
675#121—44no—
676#121—44no—
677#121—41no—
678#121—41no—
679#121—41no—
680#121—41no—
681#121—41no—
682#121—41no—
683#121—82no—
684#120—44no—
685#120—44no—
686#120—44no—
687#120—44no—
688#120—44no—
689#120—44no—
690#120—44no—
691#120—44no—
692#120—82no—
693#120—82no—
694C4×Q8—22no—
695C4×Q8—41no—
696C4×Q8—41no—
697C4×Q8—41no—
698C4×D4—22no—
699C4×D4—22no—
700C4×D4—22no—
701C4×D4—41no—
702C4×D4—41no—
703C4×D4—41no—
704C4×D4—41no—
705C4×D4—41no—
706C4×D4—41no—
707C4×D4—41no—
708C4×D4—41no—
709C4×D4—41no—
710C4×D4—44no—
711C4×D4—44no—
712#117—22no—
713#117—41no—
714#117—44no—
715#117—44no—
716C2×C4⋊C4—21no—
717C2×C4⋊C4—21no—
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—21no—
735C2×C4⋊C4—21no—
736C2×C4⋊C4—21no—
737C2×C4⋊C4—21no—
738C2×C4⋊C4—41no—
739C2×C4⋊C4—41no—
740C2×C4⋊C4—41no—
741C2×C4⋊C4C2×D411yescharacteristic
742C2×C4⋊C4C2×D411yescharacteristic
743C2×C4⋊C4C2×D411yescharacteristic
744C2×C4⋊C4C2×D411yescharacteristic
745C2×C4⋊C4C2×D411yescharacteristic
746C2×C4⋊C4C2411yescharacteristic
747C2×C4⋊C4C2411yescharacteristic
748C2×C4⋊C4C2411yescharacteristic
749C2×C4⋊C4C2411yescharacteristic
750C2×C4⋊C4C2411yescharacteristic
751C2×C4⋊C4C2411yescharacteristic
752C2×C4⋊C4C2411yescharacteristic
753C2×C4⋊C4C2411yescharacteristic
754C2×C4⋊C4C2411yescharacteristic
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—21no—
786C2×C22⋊C4—21no—
787C2×C22⋊C4—21no—
788C2×C22⋊C4—21no—
789C2×C22⋊C4—21no—
790C2×C22⋊C4—21no—
791C2×C22⋊C4—21no—
792C2×C22⋊C4—21no—
793C2×C22⋊C4—21no—
794C2×C22⋊C4—21no—
795C2×C22⋊C4—21no—
796C2×C22⋊C4—21no—
797C2×C22⋊C4—21no—
798C2×C22⋊C4—21no—
799C2×C22⋊C4—44no—
800C2×C22⋊C4—82no—
801C2×C22⋊C4C2×D411yescharacteristic
802C2×C22⋊C4C2×D411yescharacteristic
803C2×C22⋊C4C2×D411yescharacteristic
804C2×C22⋊C4C2×D411yescharacteristic
805C2×C22⋊C4C2×D411yescharacteristic
806C2×C22⋊C4C2×D411yescharacteristic
807C2×C22⋊C4C2×D411yescharacteristic
808C2×C22⋊C4C2×D411yescharacteristic
809C2×C22⋊C4C2×D411yescharacteristic
810C2×C22⋊C4C2×D411yescharacteristic
811C2×C42—21no—
812C2×C42—21no—
813C2×C42—21no—
814C2×C42—21no—
815C2×C42—21no—
816C2×C42—21no—
817C2×C42—41no—
818C2×C42—41no—
819C2×C42C2×D411yescharacteristic
820C2×C42C2×D411yescharacteristic
821C2×C42C2411yescharacteristic
822C2×C42C2411yescharacteristic
823C2×C42C2411yescharacteristic
824C2×C42C2411yescharacteristic
825#107—22no—
826#107—22no—
827#106—41no—
828#106—41no—
829C4⋊C8—41no—
830C4⋊C8—41no—
831C4⋊C8—41no—
832C4⋊C8—41no—
833#103—41no—
834#103—41no—
835#103—41no—
836#103—41no—
837#103—41no—
838#103—41no—
839#103—41no—
840#103—41no—
841#102—22no—
842#102—22no—
843#102—22no—
844#102—22no—
845#102—22no—
846#102—22no—
847#102—22no—
848#102—22no—
849#102—22no—
850#102—22no—
851#102—22no—
852#102—22no—
853#102—22no—
854#102—22no—
855#102—41no—
856#102—41no—
857#102—41no—
858#102—41no—
859#102—41no—
860#102—41no—
861#102—41no—
862#102—41no—
863#102—41no—
864#102—41no—
865C22⋊C8—41no—
866C22⋊C8—41no—
867C22⋊C8—41no—
868C22⋊C8—41no—
869C22⋊C8—41no—
870C22⋊C8—41no—
871C22⋊C8—41no—
872C22⋊C8—41no—
873C22⋊C8—41no—
874C22⋊C8—41no—
875#97—41no—
876C4×C8—41no—
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#95C2×D411yescharacteristic
893#95C2×D411yescharacteristic
894#95C2×D411yescharacteristic
895#95C2×D411yescharacteristic
896#95C2×D411yescharacteristic
897#95C2×D411yescharacteristic
898C24—24no—
899C24—21no—
900C24—21no—
901C24—21no—
902C24—21no—
903C24—21no—
904C24—42no—
905C24—42no—
906C24—42no—
907C24—42no—
908C24—42no—
909C24—42no—
910C24—81no—
911C24—81no—
912C24—81no—
913C24—81no—
914C24—81no—
915C24—81no—
916C24—81no—
917C24—81no—
918C24—81no—
919C24—81no—
920C24—81no—
921C24—81no—
922C24—81no—
923C24—81no—
924C24C22×D411yescharacteristic
925C24C22×D411yescharacteristic
926C24C22×D411yescharacteristic
927C2×Q8—21no—
928C2×Q8—21no—
929C2×Q8—21no—
930C2×Q8—21no—
931C2×Q8—21no—
932C2×Q8—21no—
933C2×Q8—21no—
934C2×Q8—21no—
935C2×Q8—21no—
936C2×Q8—21no—
937C2×Q8—21no—
938C2×Q8—21no—
939C2×D4—22no—
940C2×D4—22no—
941C2×D4—22no—
942C2×D4—24no—
943C2×D4—22no—
944C2×D4—22no—
945C2×D4—21no—
946C2×D4—21no—
947C2×D4—21no—
948C2×D4—21no—
949C2×D4—21no—
950C2×D4—21no—
951C2×D4—21no—
952C2×D4—21no—
953C2×D4—21no—
954C2×D4—21no—
955C2×D4—21no—
956C2×D4—21no—
957C2×D4—21no—
958C2×D4—21no—
959C2×D4—21no—
960C2×D4—21no—
961C2×D4—21no—
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—41no—
974C2×D4—41no—
975C2×D4—41no—
976C2×D4—41no—
977C2×D4—42no—
978C2×D4—42no—
979C2×D4—42no—
980C2×D4—42no—
981C2×D4—42no—
982C2×D4—42no—
983C2×D4—42no—
984C2×D4—42no—
985C2×D4—42no—
986C2×D4—42no—
987C2×D4—44no—
988C2×D4—44no—
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—81no—
1006C2×D4—81no—
1007C2×D4—81no—
1008C2×D4—81no—
1009C2×D4—81no—
1010C2×D4—81no—
1011C2×D4—81no—
1012C2×D4—81no—
1013C2×D4—81no—
1014C2×D4—81no—
1015C2×D4—81no—
1016C2×D4—81no—
1017C2×D4—81no—
1018C2×D4—81no—
1019C2×D4—81no—
1020C2×D4—81no—
1021C2×D4—82no—
1022C2×D4—82no—
1023C2×D4—82no—
1024C2×D4—82no—
1025C2×D4—82no—
1026C2×D4—82no—
1027C2×D4—82no—
1028C2×D4—82no—
1029C2×D4—82no—
1030C2×D4—82no—
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—81no—
1040C2×D4—81no—
1041C2×D4—81no—
1042C2×D4—816no—
1043C2×D4—816no—
1044C2×D4H(5,𝔽2)12yes—
1045C2×D4H(5,𝔽2)12yes—
1046C22×C4—21no—
1047C22×C4—21no—
1048C22×C4—21no—
1049C22×C4—22no—
1050C22×C4—21no—
1051C22×C4—21no—
1052C22×C4—21no—
1053C22×C4—21no—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—22no—
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—41no—
1078C22×C4—41no—
1079C22×C4—41no—
1080C22×C4—41no—
1081C22×C4—42no—
1082C22×C4—42no—
1083C22×C4—42no—
1084C22×C4—42no—
1085C22×C4—42no—
1086C22×C4—42no—
1087C22×C4—42no—
1088C22×C4—42no—
1089C22×C4—42no—
1090C22×C4—81no—
1091C22×C4—81no—
1092C22×C4—81no—
1093C22×C4—81no—
1094C22×C4—81no—
1095C22×C4—81no—
1096C22×C4C22×D411yescharacteristic
1097C22×C4C22×D411yescharacteristic
1098C22×C4C22×D411yescharacteristic
1099C22×C4C22×D411yescharacteristic
1100C22×C4C22×D411yescharacteristic
1101C22×C4C22×D411yescharacteristic
1102C22×C4C22×D411yescharacteristic
1103C22×C4C22×D411yescharacteristic
1104C22×C4C22×D411yescharacteristic
1105C22×C4C22×D411yescharacteristic
1106C22×C4C22×D411yescharacteristic
1107C22×C4C2511yescharacteristic
1108SD16—82no—
1109SD16—82no—
1110SD16—82no—
1111SD16—82no—
1112SD16—82no—
1113SD16—82no—
1114SD16—82no—
1115SD16—82no—
1116D8—82no—
1117D8—82no—
1118D8—82no—
1119D8—82no—
1120M16—82no—
1121C2×C8—21no—
1122C2×C8—21no—
1123C2×C8—21no—
1124C2×C8—21no—
1125C2×C8—21no—
1126C2×C8—21no—
1127C2×C8—21no—
1128C2×C8—21no—
1129C2×C8—21no—
1130C2×C8—21no—
1131C2×C8—21no—
1132C2×C8—21no—
1133C2×C8—21no—
1134C2×C8—21no—
1135C2×C8—21no—
1136C2×C8—21no—
1137C2×C8—21no—
1138C2×C8—21no—
1139C2×C8—21no—
1140C2×C8—21no—
1141C2×C8—21no—
1142C2×C8—21no—
1143C2×C8—21no—
1144C2×C8—21no—
1145C2×C8—82no—
1146C4⋊C4—24no—
1147C4⋊C4—24no—
1148C4⋊C4—22no—
1149C4⋊C4—21no—
1150C4⋊C4—21no—
1151C4⋊C4—21no—
1152C4⋊C4—21no—
1153C4⋊C4—21no—
1154C4⋊C4—21no—
1155C4⋊C4—21no—
1156C4⋊C4—21no—
1157C4⋊C4—21no—
1158C4⋊C4—21no—
1159C4⋊C4—21no—
1160C4⋊C4—21no—
1161C4⋊C4—21no—
1162C4⋊C4—21no—
1163C4⋊C4—21no—
1164C4⋊C4—41no—
1165C4⋊C4—41no—
1166C4⋊C4—41no—
1167C4⋊C4—41no—
1168C4⋊C4—42no—
1169C4⋊C4—42no—
1170C4⋊C4—42no—
1171C4⋊C4—42no—
1172C4⋊C4—42no—
1173C4⋊C4—42no—
1174C4⋊C4—42no—
1175C4⋊C4—42no—
1176C4⋊C4—42no—
1177C4⋊C4—42no—
1178C4⋊C4—42no—
1179C4⋊C4—42no—
1180C4⋊C4—81no—
1181C4⋊C4—81no—
1182C4⋊C4—81no—
1183C4⋊C4—81no—
1184C4⋊C4—81no—
1185C4⋊C4—81no—
1186C4⋊C4—81no—
1187C4⋊C4H(5,𝔽2)12yes—
1188C4⋊C4H(5,𝔽2)12yes—
1189C4⋊C4H(5,𝔽2)12yes—
1190C22⋊C4—22no—
1191C22⋊C4—41no—
1192C22⋊C4—41no—
1193C22⋊C4—41no—
1194C22⋊C4—41no—
1195C22⋊C4—41no—
1196C22⋊C4—41no—
1197C22⋊C4—41no—
1198C22⋊C4—41no—
1199C22⋊C4—42no—
1200C22⋊C4—42no—
1201C22⋊C4—42no—
1202C22⋊C4—42no—
1203C22⋊C4—42no—
1204C22⋊C4—42no—
1205C22⋊C4—42no—
1206C22⋊C4—42no—
1207C22⋊C4—42no—
1208C22⋊C4—42no—
1209C22⋊C4—42no—
1210C22⋊C4—42no—
1211C22⋊C4—42no—
1212C22⋊C4—42no—
1213C22⋊C4—42no—
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—81no—
1230C22⋊C4—81no—
1231C22⋊C4—81no—
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⋊C4—81no—
1242C22⋊C4—81no—
1243C22⋊C4AGL(1,ℤ/8)14yes—
1244C42—21no—
1245C42—21no—
1246C42—21no—
1247C42—21no—
1248C42—21no—
1249C42—21no—
1250C42—21no—
1251C42—21no—
1252C42—41no—
1253C42—41no—
1254C42—42no—
1255C42—42no—
1256C42—42no—
1257C42—42no—
1258C42—81no—
1259C42—81no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—22no—
1276C23—22no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—48no—
1282C23—41no—
1283C23—41no—
1284C23—41no—
1285C23—41no—
1286C23—41no—
1287C23—41no—
1288C23—41no—
1289C23—41no—
1290C23—41no—
1291C23—41no—
1292C23—41no—
1293C23—41no—
1294C23—41no—
1295C23—41no—
1296C23—41no—
1297C23—41no—
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—84no—
1316C23—84no—
1317C23—84no—
1318C23—84no—
1319C23—84no—
1320C23—84no—
1321C23—162no—
1322C23—162no—
1323C23—162no—
1324C23—162no—
1325C23—162no—
1326C23—162no—
1327C23—162no—
1328C23—162no—
1329C23—162no—
1330C23—162no—
1331C23—162no—
1332C23—162no—
1333C23—162no—
1334C23—162no—
1335C23C2×AGL(1,ℤ/8)12yes—
1336C23#57712yes—
1337C23C23×D411yescharacteristic
1338Q8—41no—
1339Q8—41no—
1340Q8—41no—
1341Q8—41no—
1342Q8—41no—
1343Q8—41no—
1344Q8—41no—
1345Q8—41no—
1346D4—22no—
1347D4—22no—
1348D4—22no—
1349D4—22no—
1350D4—44no—
1351D4—44no—
1352D4—41no—
1353D4—41no—
1354D4—41no—
1355D4—41no—
1356D4—41no—
1357D4—41no—
1358D4—41no—
1359D4—41no—
1360D4—41no—
1361D4—41no—
1362D4—41no—
1363D4—41no—
1364D4—41no—
1365D4—41no—
1366D4—41no—
1367D4—41no—
1368D4—84no—
1369D4—82no—
1370D4—84no—
1371D4—84no—
1372D4—84no—
1373D4—84no—
1374D4—84no—
1375D4—84no—
1376D4—84no—
1377D4—84no—
1378D4—84no—
1379D4—84no—
1380D4—162no—
1381D4—162no—
1382D4—162no—
1383D4—162no—
1384D4—162no—
1385D4—162no—
1386D4—162no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—22no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—22no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—22no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—41no—
1422C2×C4—41no—
1423C2×C4—41no—
1424C2×C4—41no—
1425C2×C4—41no—
1426C2×C4—41no—
1427C2×C4—41no—
1428C2×C4—41no—
1429C2×C4—41no—
1430C2×C4—41no—
1431C2×C4—41no—
1432C2×C4—41no—
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—82no—
1464C2×C4—84no—
1465C2×C4—84no—
1466C2×C4—82no—
1467C2×C4—84no—
1468C2×C4—84no—
1469C2×C4—162no—
1470C2×C4C2×AGL(1,ℤ/8)12yes—
1471C2×C4C2×AGL(1,ℤ/8)12yes—
1472C2×C4C2×H(5,𝔽2)11yescharacteristic
1473C2×C4C2×H(5,𝔽2)11yescharacteristic
1474C2×C4C2×H(5,𝔽2)11yescharacteristic
1475C2×C4C2×H(5,𝔽2)11yescharacteristic
1476C2×C4C2×H(5,𝔽2)11yescharacteristic
1477C2×C4#58511yescharacteristic
1478C8—41no—
1479C8—41no—
1480C8—41no—
1481C8—41no—
1482C8—41no—
1483C8—41no—
1484C8—41no—
1485C8—41no—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—42no—
1504C22—42no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—42no—
1509C22—42no—
1510C22—41no—
1511C22—42no—
1512C22—42no—
1513C22—81no—
1514C22—81no—
1515C22—81no—
1516C22—81no—
1517C22—81no—
1518C22—81no—
1519C22—81no—
1520C22—81no—
1521C22—81no—
1522C22—81no—
1523C22—81no—
1524C22—81no—
1525C22—81no—
1526C22—81no—
1527C22—81no—
1528C22—81no—
1529C22—81no—
1530C22—81no—
1531C22—81no—
1532C22—81no—
1533C22—81no—
1534C22—81no—
1535C22—81no—
1536C22—81no—
1537C22—81no—
1538C22—81no—
1539C22—81no—
1540C22—81no—
1541C22—81no—
1542C22—168no—
1543C22—168no—
1544C22—168no—
1545C22#348411yescharacteristic
1546C22#348411yescharacteristic
1547C22#348811yescharacteristic
1548C22C22×AGL(1,ℤ/8)11yescharacteristic
1549C22C2×#57711yescharacteristic
1550C22#358411yescharacteristic
1551C22#358511yescharacteristic
1552C4—22no—
1553C4—22no—
1554C4—42no—
1555C4—41no—
1556C4—42no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—42no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—81no—
1567C4—81no—
1568C4—81no—
1569C4—81no—
1570C4—81no—
1571C4—81no—
1572C4—81no—
1573C4—81no—
1574C4#354211yescharacteristic
1575C4#354211yescharacteristic
1576C4#354311yescharacteristic
1577C4#354311yescharacteristic
1578C2—42no—
1579C2—42no—
1580C2—81no—
1581C2—82no—
1582C2—82no—
1583C2—161no—
1584C2—161no—
1585C2—161no—
1586C2#4783111yescharacteristic
1587C2#6159811yescharacteristic
1588C2#6160011yescharacteristic
1589C2#6162111yescharacteristic
1590C2#6167811yescharacteristic
1591C2#6195911yescharacteristic
1592C2#6206611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#121 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59059C2semidirect
2. #39358C2semidirect
3. #31734C2semidirect
4. #31727C2semidirect
5. #30761C2semidirect
6. #30743C2semidirect
7. #30723C2semidirect
8. #30715C2semidirect
9. #30607C2semidirect
10. #30597C2semidirect
11. #30511C2semidirect
12. #30501C2semidirect
13. #30460C2semidirect
14. #30456C2semidirect
15. #30108C2semidirect
16. #29662C2semidirect
17. #28123C2semidirect
18. #26716C2semidirect
19. #26697C2semidirect
20. #26680C2semidirect
21. #26656C2semidirect
22. #25763C2semidirect
23. #25753C2semidirect
24. #25093C2semidirect
25. #25076C2semidirect
26. #24440C2semidirect
27. #24432C2semidirect
28. #23982C2semidirect
29. #23966C2semidirect
30. #23936C2semidirect
31. #23329C2semidirect
32. C2×#552C22semidirect
36. C2×#529C22semidirect
39. C2×#484C22semidirect
41. C2×#468C22semidirect
42. C2×#466C22semidirect
44. C2×#460C22semidirect
45. C2×#463C22semidirect
46. C2×#461C22semidirect
47. C2×#459C22semidirect
50. C2×#450C22semidirect
51. C2×#450C22semidirect
52. C2×#450C22semidirect
53. C2×#450C22semidirect
55. C2×#447C22semidirect
56. C2×#447C22semidirect
57. C2×#418C22semidirect
58. C22×#102C22semidirect
68. #2545C22semidirect
69. #2542C22semidirect
70. #2540C22semidirect
71. #2540C22semidirect
80. #2429C22semidirect
81. #2427C22semidirect
84. #2417C22semidirect
87. #2414C22semidirect
92. #2370C22semidirect
93. #2362C22semidirect
94. #2361C22semidirect
96. C4×C22⋊Q8C22semidirect
99. #2099C22semidirect
100. #2096C22semidirect
101. #2088C22semidirect
102. #2088C22semidirect
103. #2067C22semidirect
104. #2067C22semidirect
105. #2055C22semidirect
106. #2055C22semidirect
107. #2055C22semidirect
108. #2054C22semidirect
109. #2043C22semidirect
110. #2042C22semidirect
113. #2041C22semidirect
114. #2036C22semidirect
115. #2035C22semidirect
116. #2034C22semidirect
117. #2034C22semidirect
118. #2034C22semidirect
119. #2033C22semidirect
120. #2025C22semidirect
121. #2025C22semidirect
122. #2025C22semidirect
123. #2025C22semidirect
125. #2014C22semidirect
126. #2013C22semidirect
127. #2012C22semidirect
128. #2012C22semidirect
129. #2012C22semidirect
130. #2012C22semidirect
131. #2012C22semidirect
136. #2000C22semidirect
137. #2000C22semidirect
138. #2000C22semidirect
139. #2000C22semidirect
140. #2000C22semidirect
141. #2000C22semidirect
142. #2000C22semidirect
144. #1999C22semidirect
145. #1999C22semidirect
146. #1999C22semidirect
149. #1955C22semidirect
150. #1954C22semidirect
151. #1936C22semidirect
152. #1935C22semidirect
153. #1934C22semidirect
154. #1934C22semidirect
155. #1926C22semidirect
156. #1926C22semidirect
157. #1925C22semidirect
158. #1925C22semidirect
159. #1925C22semidirect
160. #1925C22semidirect
161. #1924C22semidirect
162. #1923C22semidirect
163. #1921C22semidirect
164. #1918C22semidirect
165. #1917C22semidirect
166. #1916C22semidirect
167. #1894C22semidirect
168. #1892C22semidirect
169. #1880C22semidirect
170. #1880C22semidirect
171. #1880C22semidirect
172. #1880C22semidirect
173. #1880C22semidirect
174. #1880C22semidirect
175. #1879C22semidirect
176. #1879C22semidirect
177. #1879C22semidirect
178. #1877C22semidirect
180. #1875C22semidirect
182. #1874C22semidirect
183. #1874C22semidirect
184. #1872C22semidirect
185. #1870C22semidirect
186. #1870C22semidirect
187. #1869C22semidirect
188. #1869C22semidirect
189. #1864C22semidirect
190. #1864C22semidirect
191. #1851C22semidirect
192. #1850C22semidirect
193. #1825C22semidirect
194. #1824C22semidirect
195. #1823C22semidirect
196. #1817C22semidirect
197. #1803C22semidirect
198. #1802C22semidirect
199. #1797C22semidirect
201. #1762C22semidirect
202. C4×#102C22semidirect

Maximal subgroups

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

subgroupindex
#590592
#393582
#317342
#317272
#307612
#307432
#307232
#307152
#306072
#305972
#305112
#305012
#304602
#304562
#301082
#296622
#281232
#267162
#266972
#266802
#266562
#257632
#257532
#250932
#250762
#244402
#244322
#239822
#239662
#239362
#233292