Finite Group Databasebeta

← #7325556

Subgroups — #7325556

Order 512.

2040 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53065C211yesmaximal, characteristic, complemented
2#44870C211yesmaximal, characteristic, complemented
3#31339C211yesmaximal, characteristic, complemented
4#31335C211yesmaximal, characteristic, complemented
5#31276C211yesmaximal, characteristic, complemented
6#31046C211yesmaximal, characteristic, complemented
7#31037C211yesmaximal, characteristic, complemented
8#30931C211yesmaximal, characteristic, complemented
9#30923C211yesmaximal, characteristic, complemented
10#30547C211yesmaximal, characteristic, complemented
11#30547C211yesmaximal, characteristic, complemented
12#30539C211yesmaximal, characteristic, complemented
13#30539C211yesmaximal, characteristic, complemented
14#30515C211yesmaximal, characteristic, complemented
15#29604C211yesmaximal, characteristic, complemented
16#29602C211yesmaximal, characteristic, complemented
17#28932C211yesmaximal, characteristic, complemented
18#28930C211yesmaximal, characteristic, complemented
19#28609C211yesmaximal, characteristic, complemented
20#26815C211yesmaximal, characteristic, complemented
21#26813C211yesmaximal, characteristic, complemented
22#26747C211yesmaximal, characteristic, complemented
23#26745C211yesmaximal, characteristic, complemented
24#25891C211yesmaximal, characteristic, complemented
25#25891C211yesmaximal, characteristic, complemented
26#24394C211yesmaximal, characteristic, complemented
27#24390C211yesmaximal, characteristic, complemented
28#24275C211yesmaximal, characteristic, complemented
29#23860C211yesmaximal, characteristic, complemented
30#23860C211yesmaximal, characteristic, complemented
31#22035C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C2×D42C2211yescharacteristic
34C2×D42C2211yescharacteristic
35C2×#535C2211yescharacteristic
36C2×#535C2211yescharacteristic
37C2×#490C2211yescharacteristic
38C2×#490C2211yescharacteristic
39C2×#490C2211yescharacteristic, complemented
40C2×#485C2211yescharacteristic, complemented
41C2×#482C2211yescharacteristic, complemented
42C2×#478C2211yescharacteristic, complemented
43C2×#478C2211yescharacteristic, complemented
44C2×#469C2211yescharacteristic, complemented
45C2×#468C2211yescharacteristic, complemented
46C2×#466C2211yescharacteristic, complemented
47C2×#465C2211yescharacteristic, complemented
48C2×#449C2211yescharacteristic, complemented
49C2×#449C2211yescharacteristic, complemented
50C2×#450C2211yescharacteristic, complemented
51C2×#450C2211yescharacteristic, complemented
52C2×#447C2211yescharacteristic, complemented
53C2×#447C2211yescharacteristic, complemented
54C2×#435C2211yescharacteristic, complemented
55C2×#408C2211yescharacteristic, complemented
56#2835—21no—
57#2828—21no—
58#2828—21no—
59#2828—21no—
60#2785—21no—
61#2753—21no—
62#2753—21no—
63#2753—21no—
64#2679—21no—
65#2670—21no—
66#2669—21no—
67#2669—21no—
68#2616C2211yescharacteristic, complemented
69#2615C2211yescharacteristic, complemented
70#2562C2211yescharacteristic, complemented
71#2562C2211yescharacteristic, complemented
72#2562C2211yescharacteristic, complemented
73#2555—21no—
74#2541C2211yescharacteristic
75#2490C2211yescharacteristic, complemented
76#2490C2211yescharacteristic, complemented
77#2490C2211yescharacteristic, complemented
78#2489C2211yescharacteristic, complemented
79#2489C2211yescharacteristic, complemented
80#2489C2211yescharacteristic, complemented
81#2433—21no—
82#2433—21no—
83#2433C2211yescharacteristic
84#2433C2211yescharacteristic
85#2428C2211yescharacteristic
86#2428C2211yescharacteristic
87#2414C2211yescharacteristic
88#2414C2211yescharacteristic
89#2408C2211yescharacteristic
90#2407C2211yescharacteristic, complemented
91#2407C2211yescharacteristic, complemented
92#2407C2211yescharacteristic, complemented
93#2403—21no—
94#2388C2211yescharacteristic
95#2363C2211yescharacteristic
96#2363C2211yescharacteristic
97#2077C2211yescharacteristic, complemented
98#2075C2211yescharacteristic, complemented
99#2067C2211yescharacteristic, complemented
100#2066C2211yescharacteristic, complemented
101#2059C2211yescharacteristic, complemented
102#2059C2211yescharacteristic, complemented
103#2055C2211yescharacteristic, complemented
104#2055C2211yescharacteristic, complemented
105#2054C2211yescharacteristic, complemented
106#2054C2211yescharacteristic, complemented
107#2034C2211yescharacteristic
108#2034C2211yescharacteristic
109#2034C2211yescharacteristic, complemented
110#2034C2211yescharacteristic, complemented
111#2034C2211yescharacteristic, complemented
112#2034C2211yescharacteristic, complemented
113#2034C2211yescharacteristic, complemented
114#2034C2211yescharacteristic, complemented
115#2033C2211yescharacteristic
116#2033C2211yescharacteristic
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#2025C2211yescharacteristic, complemented
127#2014C2211yescharacteristic
128#2014C2211yescharacteristic
129#2014C2211yescharacteristic, complemented
130#2011C2211yescharacteristic
131#2011C2211yescharacteristic
132#2011C2211yescharacteristic, complemented
133#2000C2211yescharacteristic
134#2000C2211yescharacteristic
135#2000C2211yescharacteristic, complemented
136#2000C2211yescharacteristic, complemented
137#2000C2211yescharacteristic, complemented
138#2000C2211yescharacteristic, complemented
139#1999C2211yescharacteristic
140#1999C2211yescharacteristic
141#1999C2211yescharacteristic, complemented
142#1999C2211yescharacteristic, complemented
143#1999C2211yescharacteristic, complemented
144#1999C2211yescharacteristic, complemented
145#1989C2211yescharacteristic, complemented
146#1982C2211yescharacteristic
147#1982C2211yescharacteristic
148#1982C2211yescharacteristic, complemented
149#1973C2211yescharacteristic, complemented
150#1973C2211yescharacteristic, complemented
151#1972C2211yescharacteristic, complemented
152#1972C2211yescharacteristic, complemented
153#1955C2211yescharacteristic, complemented
154#1955C2211yescharacteristic, complemented
155#1936C2211yescharacteristic, complemented
156#1935C2211yescharacteristic, complemented
157#1927C2211yescharacteristic, complemented
158#1926C2211yescharacteristic, complemented
159#1926C2211yescharacteristic, complemented
160#1925C2211yescharacteristic, complemented
161#1925C2211yescharacteristic, complemented
162#1925C2211yescharacteristic, complemented
163#1924C2211yescharacteristic, complemented
164#1924C2211yescharacteristic, complemented
165#1924C2211yescharacteristic, complemented
166#1924C2211yescharacteristic, complemented
167#1919C2211yescharacteristic, complemented
168#1918C2211yescharacteristic, complemented
169#1895C2211yescharacteristic, complemented
170#1895C2211yescharacteristic, complemented
171#1895C2211yescharacteristic, complemented
172#1895C2211yescharacteristic, complemented
173#1893C2211yescharacteristic, complemented
174#1893C2211yescharacteristic, complemented
175#1879C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1877C2211yescharacteristic, complemented
178#1877C2211yescharacteristic, complemented
179#1875C2211yescharacteristic, complemented
180#1873C2211yescharacteristic, complemented
181#1870C2211yescharacteristic, complemented
182#1870C2211yescharacteristic, complemented
183#1870C2211yescharacteristic, complemented
184#1854C2211yescharacteristic, complemented
185#1854C2211yescharacteristic, complemented
186#1851C2211yescharacteristic, complemented
187#1825C2211yescharacteristic, complemented
188#1825C2211yescharacteristic, complemented
189#1809C2211yescharacteristic, complemented
190#1788C2211yescharacteristic, complemented
191#1786C2211yescharacteristic
192#1786C2211yescharacteristic
193#1786C2211yescharacteristic
194#1786C2211yescharacteristic, complemented
195#1786C2211yescharacteristic, complemented
196#1786C2211yescharacteristic, complemented
197#1786C2211yescharacteristic, complemented
198#1780C2211yescharacteristic, complemented
199#1776C2211yescharacteristic, complemented
200#1762C2211yescharacteristic, complemented
201#1762C2211yescharacteristic, complemented
202#1752C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C23×D4—21no—
206C23×D4—21no—
207C23×D4C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C2×AGL(1,ℤ/8)—42no—
211C2×AGL(1,ℤ/8)—42no—
212C2×AGL(1,ℤ/8)—42no—
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×M16C2311yescharacteristic
222C22×M16C2311yescharacteristic
223C23×C8C2311yescharacteristic
224D42—42no—
225D42—42no—
226D42—42no—
227D42—42no—
228#535—42no—
229#535—42no—
230#535—42no—
231#535—42no—
232C2×#127—21no—
233C2×#127—21no—
234C2×#127—21no—
235C2×#127C2311yescharacteristic
236C2×#127C2311yescharacteristic
237C2×#127C2311yescharacteristic
238C2×#125C2311yescharacteristic
239C2×#125C2311yescharacteristic
240C2×#125C2311yescharacteristic
241C2×#124—21no—
242C2×#124—21no—
243C2×C22⋊Q8C2311yescharacteristic
244C2×C22⋊Q8C2311yescharacteristic
245C2×C22⋊Q8C2311yescharacteristic
246C2×#121—21no—
247C2×#121—21no—
248C2×#121—21no—
249C2×#121—21no—
250C2×#121C2311yescharacteristic
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#120—21no—
264C2×#120—21no—
265C2×#120—21no—
266C2×#120—21no—
267C2×#120—21no—
268C2×#120—21no—
269C2×#120—21no—
270C2×#120—21no—
271C2×#120—21no—
272C2×#120—21no—
273C2×#120—21no—
274C2×#120—21no—
275C2×#120—21no—
276C2×C4×D4C2311yescharacteristic
277C2×C4×D4C2311yescharacteristic
278C2×C4×D4C2311yescharacteristic
279C2×C4×D4C2311yescharacteristic
280C2×C4×D4C2311yescharacteristic
281C2×#117C2311yescharacteristic
282C2×#117C2311yescharacteristic
283#490—42no—
284#490—42no—
285#490—42no—
286#485—42no—
287#482—42no—
288#478—42no—
289#478—42no—
290#469—42no—
291#468—42no—
292#466—42no—
293#465—42no—
294#450—42no—
295#450—42no—
296#449—42no—
297#449—42no—
298#447—42no—
299#447—42no—
300#435—42no—
301C2×#107C2311yescharacteristic
302C2×#107C2311yescharacteristic
303C2×#107C2311yescharacteristic
304C2×#107C2311yescharacteristic
305C2×#106C2311yescharacteristic
306C2×#106C2311yescharacteristic
307C2×#106C2311yescharacteristic
308C2×#106C2311yescharacteristic
309C2×C4⋊C8C2311yescharacteristic
310C2×C4⋊C8C2311yescharacteristic
311C2×C4⋊C8C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
315C2×#103C2311yescharacteristic
316C2×#102C2311yescharacteristic
317C2×#102C2311yescharacteristic
318C2×#102C2311yescharacteristic
319C2×#102C2311yescharacteristic
320C2×#102C2311yescharacteristic
321C2×#102C2311yescharacteristic
322C2×#102C2311yescharacteristic
323C2×#102C2311yescharacteristic
324C2×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
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
344#408—42no—
345C2×C22⋊C8C2311yescharacteristic
346C2×C22⋊C8C2311yescharacteristic
347C2×C22⋊C8C2311yescharacteristic
348C2×C22⋊C8C2311yescharacteristic
349C2×C22⋊C8C2311yescharacteristic
350C2×C22⋊C8C2311yescharacteristic
351C2×C22⋊C8C2311yescharacteristic
352C2×C22⋊C8C2311yescharacteristic
353C2×C22⋊C8C2311yescharacteristic
354C2×C22⋊C8C2311yescharacteristic
355C2×C22⋊C8C2311yescharacteristic
356C2×C22⋊C8C2311yescharacteristic
357C2×C22⋊C8C2311yescharacteristic
358C2×#97C2311yescharacteristic
359C2×#97C2311yescharacteristic
360C2×#97C2311yescharacteristic
361#400—21no—
362#400—21no—
363#400—21no—
364#400—21no—
365#400—21no—
366#400—21no—
367#397—21no—
368#397—21no—
369#397—21no—
370#397—21no—
371#397—21no—
372#397—21no—
373#395—21no—
374#395D411yescharacteristic
375#394—21no—
376#394—21no—
377#394—21no—
378#394—21no—
379#394—21no—
380#394—21no—
381#394—21no—
382#394—21no—
383#394—21no—
384#394—21no—
385#394—21no—
386#394—21no—
387#394—21no—
388#394—21no—
389#394—21no—
390#394—21no—
391#394—21no—
392#394D411yescharacteristic
393#394D411yescharacteristic
394#394D411yescharacteristic
395#393—21no—
396#393D411yescharacteristic
397#392—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#392—21no—
408#392—21no—
409#392—21no—
410#392—21no—
411#392—21no—
412#392—21no—
413#392—21no—
414#392D411yescharacteristic
415#392D411yescharacteristic
416#392D411yescharacteristic
417#391C2311yescharacteristic
418#391C2311yescharacteristic
419#391C2311yescharacteristic
420#390—21no—
421#390—21no—
422#390—21no—
423#390—21no—
424#390—21no—
425#390—21no—
426#390—21no—
427#390—21no—
428#390C2311yescharacteristic
429#390C2311yescharacteristic
430#390C2311yescharacteristic
431#390C2311yescharacteristic
432#390C2311yescharacteristic
433#390C2311yescharacteristic
434#390C2311yescharacteristic
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#388—21no—
445#388—21no—
446#388—21no—
447#388—21no—
448#388—21no—
449#388—21no—
450#388—21no—
451#388—21no—
452#388—21no—
453#386—21no—
454#386—21no—
455#386—21no—
456#386—21no—
457#386—21no—
458#386—21no—
459#386—21no—
460#385—21no—
461#385—21no—
462#385—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—
477C4×C4⋊C4C2311yescharacteristic
478C4×C4⋊C4C2311yescharacteristic
479C4×C4⋊C4C2311yescharacteristic
480C4×C4⋊C4C2311yescharacteristic
481C4×C22⋊C4—21no—
482C4×C22⋊C4—21no—
483C4×C22⋊C4C2311yescharacteristic
484C4×C22⋊C4C2311yescharacteristic
485C4×C22⋊C4C2311yescharacteristic
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#340C2311yescharacteristic
500#340C2311yescharacteristic
501#340C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505#336C2311yescharacteristic
506#336C2311yescharacteristic
507#336C2311yescharacteristic
508C25—21no—
509C25—21no—
510C25—21no—
511C2×#41—41no—
512C2×#41—41no—
513C2×#41—41no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—41no—
517C2×#41—41no—
518C2×#41—41no—
519C2×#41—41no—
520C2×#41—41no—
521C2×#41—41no—
522C2×#41—41no—
523C22×Q8C2×D411yescharacteristic
524C22×Q8C2411yescharacteristic
525C22×D4—21no—
526C22×D4—21no—
527C22×D4—22no—
528C22×D4—22no—
529C22×D4—22no—
530C22×D4—22no—
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—21no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—21no—
551C22×D4—21no—
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—41no—
561C22×D4—41no—
562C22×D4—41no—
563C22×D4—41no—
564C22×D4—41no—
565C22×D4—41no—
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×D4C2×D411yescharacteristic
576C22×D4C2×D411yescharacteristic
577C22×D4C2×D411yescharacteristic
578C22×D4C2411yescharacteristic
579C22×D4C2411yescharacteristic
580C22×D4C2411yescharacteristic
581C22×D4C2411yescharacteristic
582C22×D4C2411yescharacteristic
583C23×C4—21no—
584C23×C4—21no—
585C23×C4—21no—
586C23×C4C2411yescharacteristic
587C23×C4C2411yescharacteristic
588C23×C4C2411yescharacteristic
589C23×C4C2411yescharacteristic
590AGL(1,ℤ/8)—416no—
591C2×SD16—22no—
592C2×SD16—22no—
593C2×SD16—22no—
594C2×SD16—41no—
595C2×SD16—41no—
596C2×SD16—41no—
597C2×SD16—41no—
598C2×SD16—41no—
599C2×SD16—41no—
600C2×SD16—41no—
601C2×SD16—41no—
602C2×SD16—41no—
603C2×D8—22no—
604C2×D8—22no—
605C2×D8—22no—
606C2×D8—41no—
607C2×D8—41no—
608C2×D8—41no—
609C2×D8—41no—
610C2×D8—41no—
611C2×D8—41no—
612C2×D8—41no—
613C2×D8—41no—
614C2×D8—41no—
615C2×M16—22no—
616C2×M16—41no—
617C2×M16—41no—
618C2×M16—41no—
619C2×M16—41no—
620C2×M16—41no—
621C22×C8—22no—
622C22×C8—41no—
623C22×C8—41no—
624C22×C8C2411yescharacteristic
625C22×C8C2411yescharacteristic
626C22×C8C2411yescharacteristic
627C22×C8C2411yescharacteristic
628C22×C8C2411yescharacteristic
629C22×C8C2411yescharacteristic
630C22×C8C2411yescharacteristic
631C22×C8C2411yescharacteristic
632#127—22no—
633#127—22no—
634#127—41no—
635#127—41no—
636#127—41no—
637#127—41no—
638#127—44no—
639#127—44no—
640#127—82no—
641#125—41no—
642#125—41no—
643#125—41no—
644#125—41no—
645#125—41no—
646#125—41no—
647#124—44no—
648#124—44no—
649C22⋊Q8—41no—
650C22⋊Q8—41no—
651C22⋊Q8—41no—
652C22⋊Q8—41no—
653C22⋊Q8—41no—
654C22⋊Q8—41no—
655#121—22no—
656#121—22no—
657#121—22no—
658#121—22no—
659#121—22no—
660#121—22no—
661#121—22no—
662#121—22no—
663#121—22no—
664#121—22no—
665#121—44no—
666#121—44no—
667#121—41no—
668#121—41no—
669#121—41no—
670#121—41no—
671#121—41no—
672#121—41no—
673#121—41no—
674#121—41no—
675#121—41no—
676#121—41no—
677#121—41no—
678#121—41no—
679#121—41no—
680#121—41no—
681#121—41no—
682#121—41no—
683#121—82no—
684#121—82no—
685#120—44no—
686#120—44no—
687#120—44no—
688#120—44no—
689#120—44no—
690#120—44no—
691#120—44no—
692#120—44no—
693#120—82no—
694#120—82no—
695#120—82no—
696#120—82no—
697#120—82no—
698C4×D4—22no—
699C4×D4—22no—
700C4×D4—41no—
701C4×D4—41no—
702C4×D4—41no—
703C4×D4—41no—
704C4×D4—41no—
705C4×D4—41no—
706C4×D4—41no—
707C4×D4—41no—
708#117—22no—
709#117—22no—
710#117—41no—
711#117—41no—
712C2×C4⋊C4—21no—
713C2×C4⋊C4—21no—
714C2×C4⋊C4—21no—
715C2×C4⋊C4—21no—
716C2×C4⋊C4—21no—
717C2×C4⋊C4—21no—
718C2×C4⋊C4—21no—
719C2×C4⋊C4—21no—
720C2×C4⋊C4—21no—
721C2×C4⋊C4—21no—
722C2×C4⋊C4—21no—
723C2×C4⋊C4C2×D411yescharacteristic
724C2×C4⋊C4C2×D411yescharacteristic
725C2×C4⋊C4C2×D411yescharacteristic
726C2×C4⋊C4C2411yescharacteristic
727C2×C4⋊C4C2411yescharacteristic
728C2×C4⋊C4C2411yescharacteristic
729C2×C4⋊C4C2411yescharacteristic
730C2×C4⋊C4C2411yescharacteristic
731C2×C4⋊C4C2411yescharacteristic
732C2×C4⋊C4C2411yescharacteristic
733C2×C4⋊C4C2411yescharacteristic
734C2×C4⋊C4C2411yescharacteristic
735C2×C4⋊C4C2411yescharacteristic
736C2×C22⋊C4—21no—
737C2×C22⋊C4—21no—
738C2×C22⋊C4—21no—
739C2×C22⋊C4—21no—
740C2×C22⋊C4—21no—
741C2×C22⋊C4—21no—
742C2×C22⋊C4—21no—
743C2×C22⋊C4—21no—
744C2×C22⋊C4—21no—
745C2×C22⋊C4—21no—
746C2×C22⋊C4—21no—
747C2×C22⋊C4—21no—
748C2×C22⋊C4—21no—
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⋊C4C2×D411yescharacteristic
781C2×C22⋊C4C2×D411yescharacteristic
782C2×C22⋊C4C2×D411yescharacteristic
783C2×C22⋊C4C2×D411yescharacteristic
784C2×C22⋊C4C2×D411yescharacteristic
785C2×C22⋊C4C2×D411yescharacteristic
786C2×C22⋊C4C2×D411yescharacteristic
787C2×C22⋊C4C2×D411yescharacteristic
788C2×C22⋊C4C2×D411yescharacteristic
789C2×C22⋊C4C2×D411yescharacteristic
790C2×C22⋊C4C2×D411yescharacteristic
791C2×C22⋊C4C2×D411yescharacteristic
792C2×C42—21no—
793C2×C42—21no—
794C2×C42—21no—
795C2×C42—21no—
796C2×C42—21no—
797C2×C42—21no—
798C2×C42C2411yescharacteristic
799C2×C42C2411yescharacteristic
800C2×C42C2411yescharacteristic
801#107—22no—
802#107—22no—
803#107—41no—
804#107—41no—
805#106—22no—
806#106—22no—
807#106—41no—
808#106—41no—
809C4⋊C8—41no—
810C4⋊C8—41no—
811C4⋊C8—41no—
812#103—22no—
813#103—22no—
814#103—41no—
815#103—41no—
816#102—22no—
817#102—22no—
818#102—22no—
819#102—22no—
820#102—22no—
821#102—22no—
822#102—22no—
823#102—22no—
824#102—41no—
825#102—41no—
826#102—41no—
827#102—41no—
828#102—41no—
829#102—41no—
830#102—41no—
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—
844C22⋊C8—22no—
845C22⋊C8—22no—
846C22⋊C8—41no—
847C22⋊C8—41no—
848C22⋊C8—41no—
849C22⋊C8—41no—
850C22⋊C8—41no—
851C22⋊C8—41no—
852C22⋊C8—41no—
853C22⋊C8—41no—
854C22⋊C8—41no—
855C22⋊C8—41no—
856C22⋊C8—41no—
857#97—22no—
858#97—41no—
859#97—41no—
860#95—21no—
861#95—21no—
862#95—21no—
863#95—21no—
864#95—21no—
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#95C2×D411yescharacteristic
883#95C2×D411yescharacteristic
884#95C2×D411yescharacteristic
885#95C2×D411yescharacteristic
886#95C2×D411yescharacteristic
887#95C2×D411yescharacteristic
888C24—21no—
889C24—21no—
890C24—21no—
891C24—21no—
892C24—21no—
893C24—42no—
894C24—42no—
895C24—42no—
896C24—42no—
897C24—42no—
898C24—42no—
899C24—42no—
900C24—81no—
901C24—81no—
902C24—81no—
903C24—81no—
904C24—81no—
905C24—81no—
906C24—81no—
907C24—81no—
908C24—81no—
909C24—81no—
910C24—81no—
911C24—81no—
912C24—81no—
913C24—81no—
914C24C22×D411yescharacteristic
915C24C22×D411yescharacteristic
916C24C22×D411yescharacteristic
917C24C22×D411yescharacteristic
918#41—44no—
919#41—82no—
920#41—82no—
921#41—82no—
922#41—82no—
923#41—82no—
924#41—82no—
925#41—82no—
926C2×Q8—21no—
927C2×Q8—21no—
928C2×Q8—21no—
929C2×Q8—21no—
930C2×Q8—21no—
931C2×Q8—21no—
932C2×Q8—41no—
933C2×Q8—41no—
934C2×Q8—41no—
935C2×D4—24no—
936C2×D4—24no—
937C2×D4—21no—
938C2×D4—21no—
939C2×D4—21no—
940C2×D4—21no—
941C2×D4—21no—
942C2×D4—21no—
943C2×D4—21no—
944C2×D4—21no—
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—41no—
966C2×D4—41no—
967C2×D4—41no—
968C2×D4—41no—
969C2×D4—41no—
970C2×D4—41no—
971C2×D4—41no—
972C2×D4—41no—
973C2×D4—41no—
974C2×D4—41no—
975C2×D4—41no—
976C2×D4—41no—
977C2×D4—41no—
978C2×D4—41no—
979C2×D4—41no—
980C2×D4—41no—
981C2×D4—41no—
982C2×D4—41no—
983C2×D4—42no—
984C2×D4—42no—
985C2×D4—42no—
986C2×D4—42no—
987C2×D4—42no—
988C2×D4—42no—
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—44no—
1001C2×D4—42no—
1002C2×D4—42no—
1003C2×D4—42no—
1004C2×D4—42no—
1005C2×D4—42no—
1006C2×D4—42no—
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—82no—
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—81no—
1043C2×D4—81no—
1044C2×D4—81no—
1045C2×D4—81no—
1046C2×D4—81no—
1047C2×D4—81no—
1048C2×D4—81no—
1049C2×D4—81no—
1050C2×D4—81no—
1051C2×D4—81no—
1052C2×D4—81no—
1053C2×D4—81no—
1054C2×D4—81no—
1055C2×D4—81no—
1056C2×D4—81no—
1057C2×D4—81no—
1058C2×D4—81no—
1059C2×D4—81no—
1060C2×D4—81no—
1061C2×D4—81no—
1062C2×D4—816no—
1063C2×D4—816no—
1064C2×D4H(5,𝔽2)12yes—
1065C2×D4H(5,𝔽2)12yes—
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—21no—
1100C22×C4—21no—
1101C22×C4—42no—
1102C22×C4—42no—
1103C22×C4—42no—
1104C22×C4—42no—
1105C22×C4—81no—
1106C22×C4—81no—
1107C22×C4—81no—
1108C22×C4—81no—
1109C22×C4—81no—
1110C22×C4C22×D411yescharacteristic
1111C22×C4C22×D411yescharacteristic
1112C22×C4C22×D411yescharacteristic
1113C22×C4C22×D411yescharacteristic
1114C22×C4C22×D411yescharacteristic
1115C22×C4C22×D411yescharacteristic
1116C22×C4C22×D411yescharacteristic
1117C22×C4C22×D411yescharacteristic
1118C22×C4C22×D411yescharacteristic
1119C22×C4C22×D411yescharacteristic
1120C22×C4C2511yescharacteristic
1121SD16—44no—
1122SD16—44no—
1123SD16—82no—
1124SD16—82no—
1125D8—44no—
1126D8—44no—
1127D8—82no—
1128D8—82no—
1129M16—44no—
1130M16—82no—
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—21no—
1146C2×C8—21no—
1147C2×C8—21no—
1148C2×C8—21no—
1149C2×C8—21no—
1150C2×C8—21no—
1151C2×C8—21no—
1152C2×C8—21no—
1153C2×C8—21no—
1154C2×C8—82no—
1155C2×C8H(5,𝔽2)12yes—
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—21no—
1165C4⋊C4—21no—
1166C4⋊C4—21no—
1167C4⋊C4—21no—
1168C4⋊C4—21no—
1169C4⋊C4—21no—
1170C4⋊C4—21no—
1171C4⋊C4—21no—
1172C4⋊C4—21no—
1173C4⋊C4—21no—
1174C4⋊C4—41no—
1175C4⋊C4—41no—
1176C4⋊C4—41no—
1177C4⋊C4—81no—
1178C4⋊C4—81no—
1179C4⋊C4—81no—
1180C4⋊C4—81no—
1181C4⋊C4—81no—
1182C4⋊C4—81no—
1183C4⋊C4—81no—
1184C4⋊C4—81no—
1185C4⋊C4—81no—
1186C4⋊C4—81no—
1187C4⋊C4—81no—
1188C4⋊C4H(5,𝔽2)12yes—
1189C4⋊C4H(5,𝔽2)12yes—
1190C22⋊C4—24no—
1191C22⋊C4—24no—
1192C22⋊C4—41no—
1193C22⋊C4—41no—
1194C22⋊C4—41no—
1195C22⋊C4—41no—
1196C22⋊C4—41no—
1197C22⋊C4—41no—
1198C22⋊C4—41no—
1199C22⋊C4—41no—
1200C22⋊C4—41no—
1201C22⋊C4—41no—
1202C22⋊C4—41no—
1203C22⋊C4—41no—
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—81no—
1221C22⋊C4—81no—
1222C22⋊C4—81no—
1223C22⋊C4—81no—
1224C22⋊C4—81no—
1225C22⋊C4—81no—
1226C22⋊C4—81no—
1227C22⋊C4—81no—
1228C22⋊C4—81no—
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⋊C4—81no—
1244C22⋊C4—81no—
1245C22⋊C4—81no—
1246C42—21no—
1247C42—21no—
1248C42—21no—
1249C42—21no—
1250C42—21no—
1251C42—21no—
1252C42—42no—
1253C42—42no—
1254C42—81no—
1255C42—81no—
1256C42—81no—
1257C42—81no—
1258C23—21no—
1259C23—21no—
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—22no—
1275C23—22no—
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—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—41no—
1316C23—41no—
1317C23—41no—
1318C23—41no—
1319C23—41no—
1320C23—41no—
1321C23—84no—
1322C23—84no—
1323C23—84no—
1324C23—84no—
1325C23—84no—
1326C23—84no—
1327C23—84no—
1328C23—162no—
1329C23—162no—
1330C23—162no—
1331C23—162no—
1332C23—162no—
1333C23—162no—
1334C23—162no—
1335C23—162no—
1336C23—162no—
1337C23—162no—
1338C23—162no—
1339C23—162no—
1340C23—162no—
1341C23—162no—
1342C23C23×D411yescharacteristic
1343Q8—41no—
1344Q8—41no—
1345Q8—41no—
1346Q8—41no—
1347Q8—82no—
1348D4—22no—
1349D4—22no—
1350D4—22no—
1351D4—22no—
1352D4—44no—
1353D4—44no—
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—41no—
1369D4—41no—
1370D4—84no—
1371D4—84no—
1372D4—82no—
1373D4—84no—
1374D4—82no—
1375D4—82no—
1376D4—82no—
1377D4—84no—
1378D4—84no—
1379D4—84no—
1380D4—84no—
1381D4—84no—
1382D4—84no—
1383D4—84no—
1384D4—162no—
1385D4—162no—
1386D4—162no—
1387D4—162no—
1388D4—162no—
1389D4—162no—
1390D4—162no—
1391D4—162no—
1392D4—162no—
1393D4—162no—
1394D4—162no—
1395D4—162no—
1396D4—162no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
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—21no—
1415C2×C4—22no—
1416C2×C4—22no—
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—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—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—84no—
1477C2×C4—84no—
1478C2×C4—84no—
1479C2×C4C2×H(5,𝔽2)11yescharacteristic
1480C2×C4C2×H(5,𝔽2)11yescharacteristic
1481C2×C4C2×H(5,𝔽2)11yescharacteristic
1482C2×C4C2×H(5,𝔽2)11yescharacteristic
1483C2×C4C2×H(5,𝔽2)11yescharacteristic
1484C2×C4#58511yescharacteristic
1485C8—22no—
1486C8—41no—
1487C8—41no—
1488C8—41no—
1489C8—41no—
1490C8—41no—
1491C8—41no—
1492C8—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—42no—
1498C22—42no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—42no—
1512C22—42no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—42no—
1523C22—42no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
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—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—168no—
1557C22—168no—
1558C22—168no—
1559C22#348411yescharacteristic
1560C22#348411yescharacteristic
1561C22#349611yescharacteristic
1562C22#358511yescharacteristic
1563C22#358511yescharacteristic
1564C22#358511yescharacteristic
1565C22#358511yescharacteristic
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—42no—
1575C4—42no—
1576C4—41no—
1577C4—41no—
1578C4—81no—
1579C4—81no—
1580C4—81no—
1581C4—81no—
1582C4—81no—
1583C4—81no—
1584C4—81no—
1585C4—81no—
1586C4—81no—
1587C4#353211yescharacteristic
1588C4#354911yescharacteristic
1589C4#355811yescharacteristic
1590C4#355811yescharacteristic
1591C2—81no—
1592C2—81no—
1593C2—81no—
1594C2—81no—
1595C2—82no—
1596C2—82no—
1597C2—161no—
1598C2—161no—
1599C2—161no—
1600C2#4792911yescharacteristic
1601C2#6164311yescharacteristic
1602C2#6164311yescharacteristic
1603C2#6167511yescharacteristic
1604C2#6167511yescharacteristic
1605C2#6229211yescharacteristic
1606C2#6233611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2388 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53065C2semidirect
2. #44870C2semidirect
3. #31339C2semidirect
4. #31335C2semidirect
5. #31276C2semidirect
6. #31046C2semidirect
7. #31037C2semidirect
8. #30931C2semidirect
9. #30923C2semidirect
10. #30547C2semidirect
11. #30547C2semidirect
12. #30539C2semidirect
13. #30539C2semidirect
14. #30515C2semidirect
15. #29604C2semidirect
16. #29602C2semidirect
17. #28932C2semidirect
18. #28930C2semidirect
19. #28609C2semidirect
20. #26815C2semidirect
21. #26813C2semidirect
22. #26747C2semidirect
23. #26745C2semidirect
24. #25891C2semidirect
25. #25891C2semidirect
26. #24394C2semidirect
27. #24390C2semidirect
28. #24275C2semidirect
29. #23860C2semidirect
30. #23860C2semidirect
31. #22035C2semidirect
39. C2×#490C22semidirect
40. C2×#485C22semidirect
41. C2×#482C22semidirect
42. C2×#478C22semidirect
43. C2×#478C22semidirect
44. C2×#469C22semidirect
45. C2×#468C22semidirect
46. C2×#466C22semidirect
47. C2×#465C22semidirect
48. C2×#449C22semidirect
49. C2×#449C22semidirect
50. C2×#450C22semidirect
51. C2×#450C22semidirect
52. C2×#447C22semidirect
53. C2×#447C22semidirect
54. C2×#435C22semidirect
55. C2×#408C22semidirect
68. #2616C22semidirect
69. #2615C22semidirect
70. #2562C22semidirect
71. #2562C22semidirect
72. #2562C22semidirect
75. #2490C22semidirect
76. #2490C22semidirect
77. #2490C22semidirect
78. #2489C22semidirect
79. #2489C22semidirect
80. #2489C22semidirect
90. #2407C22semidirect
91. #2407C22semidirect
92. #2407C22semidirect
97. #2077C22semidirect
98. #2075C22semidirect
99. #2067C22semidirect
100. #2066C22semidirect
101. #2059C22semidirect
102. #2059C22semidirect
103. #2055C22semidirect
104. #2055C22semidirect
105. #2054C22semidirect
106. #2054C22semidirect
109. #2034C22semidirect
110. #2034C22semidirect
111. #2034C22semidirect
112. #2034C22semidirect
113. #2034C22semidirect
114. #2034C22semidirect
117. #2033C22semidirect
118. #2033C22semidirect
119. #2033C22semidirect
120. #2033C22semidirect
121. #2033C22semidirect
122. #2033C22semidirect
123. #2025C22semidirect
124. #2025C22semidirect
125. #2025C22semidirect
126. #2025C22semidirect
129. #2014C22semidirect
132. #2011C22semidirect
135. #2000C22semidirect
136. #2000C22semidirect
137. #2000C22semidirect
138. #2000C22semidirect
141. #1999C22semidirect
142. #1999C22semidirect
143. #1999C22semidirect
144. #1999C22semidirect
145. #1989C22semidirect
148. #1982C22semidirect
149. #1973C22semidirect
150. #1973C22semidirect
151. #1972C22semidirect
152. #1972C22semidirect
153. #1955C22semidirect
154. #1955C22semidirect
155. #1936C22semidirect
156. #1935C22semidirect
157. #1927C22semidirect
158. #1926C22semidirect
159. #1926C22semidirect
160. #1925C22semidirect
161. #1925C22semidirect
162. #1925C22semidirect
163. #1924C22semidirect
164. #1924C22semidirect
165. #1924C22semidirect
166. #1924C22semidirect
167. #1919C22semidirect
168. #1918C22semidirect
169. #1895C22semidirect
170. #1895C22semidirect
171. #1895C22semidirect
172. #1895C22semidirect
173. #1893C22semidirect
174. #1893C22semidirect
175. #1879C22semidirect
176. #1879C22semidirect
177. #1877C22semidirect
178. #1877C22semidirect
179. #1875C22semidirect
180. #1873C22semidirect
181. #1870C22semidirect
182. #1870C22semidirect
183. #1870C22semidirect
184. #1854C22semidirect
185. #1854C22semidirect
186. #1851C22semidirect
187. #1825C22semidirect
188. #1825C22semidirect
189. #1809C22semidirect
190. #1788C22semidirect
194. #1786C22semidirect
195. #1786C22semidirect
196. #1786C22semidirect
197. #1786C22semidirect
198. #1780C22semidirect
199. #1776C22semidirect
200. #1762C22semidirect
201. #1762C22semidirect
202. #1752C22semidirect

Maximal subgroups

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

subgroupindex
#530652
#448702
#313392
#313352
#312762
#310462
#310372
#309312
#309232
#305472
#305392
#305152
#296042
#296022
#289322
#289302
#286092
#268152
#268132
#267472
#267452
#258912
#243942
#243902
#242752
#238602
#220352