Finite Group Databasebeta

← #6848043

Subgroups — #6848043

Order 512.

2147 conjugacy classes of subgroups.

The subgroup lattice has 1641 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#39463C211yesmaximal, characteristic, complemented
2#35274C211yesmaximal, characteristic
3#33152C211yesmaximal, characteristic, complemented
4#32045C211yesmaximal, characteristic, complemented
5#32036C211yesmaximal, characteristic, complemented
6#32035C211yesmaximal, characteristic, complemented
7#32028C211yesmaximal, characteristic, complemented
8#30730C211yesmaximal, characteristic, complemented
9#30717C211yesmaximal, characteristic, complemented
10#30716C211yesmaximal, characteristic, complemented
11#30703C211yesmaximal, characteristic, complemented
12#29604C211yesmaximal, characteristic, complemented
13#29604C211yesmaximal, characteristic, complemented
14#28609C211yesmaximal, characteristic, complemented
15#28609C211yesmaximal, characteristic, complemented
16#26248C211yesmaximal, characteristic, complemented
17#26246C211yesmaximal, characteristic, complemented
18#25860C211yesmaximal, characteristic, complemented
19#25583C211yesmaximal, characteristic, complemented
20#25583C211yesmaximal, characteristic, complemented
21#25402C211yesmaximal, characteristic, complemented
22#25402C211yesmaximal, characteristic, complemented
23#24394C211yesmaximal, characteristic, complemented
24#24394C211yesmaximal, characteristic, complemented
25#24211C211yesmaximal, characteristic, complemented
26#24015C211yesmaximal, characteristic, complemented
27#24013C211yesmaximal, characteristic, complemented
28#22403C211yesmaximal, characteristic, complemented
29#21770C211yesmaximal, characteristic, complemented
30#21770C211yesmaximal, characteristic, complemented
31#21583C211yesmaximal, characteristic, complemented
32C2×#552C2211yescharacteristic, complemented
33C2×#535C2211yescharacteristic
34C2×#535C2211yescharacteristic
35C2×#535C2211yescharacteristic
36C2×#535C2211yescharacteristic
37C2×#532C2211yescharacteristic
38C22×#127C2211yescharacteristic
39C2×#490C2211yescharacteristic
40C2×#490C2211yescharacteristic
41C2×#481C2211yescharacteristic, complemented
42C2×#485C2211yescharacteristic
43C2×#482C2211yescharacteristic, complemented
44C2×#482C2211yescharacteristic, complemented
45C2×#480C2211yescharacteristic, complemented
46C2×#468C2211yescharacteristic, complemented
47C2×#468C2211yescharacteristic, complemented
48C2×#465C2211yescharacteristic, complemented
49C2×#465C2211yescharacteristic, complemented
50C2×#460C2211yescharacteristic
51C2×#460C2211yescharacteristic
52C2×#450C2211yescharacteristic
53C2×#450C2211yescharacteristic
54C2×#435C2211yescharacteristic, complemented
55C2×#435C2211yescharacteristic, complemented
56C2×#408C2211yescharacteristic
57C2×#408C2211yescharacteristic
58#2867—21no—
59#2858—21no—
60#2851C2211yescharacteristic
61#2713—21no—
62#2711—21no—
63#2709—21no—
64#2708—21no—
65#2657—21no—
66#2657—21no—
67#2616C2211yescharacteristic
68#2616C2211yescharacteristic
69#2562C2211yescharacteristic, complemented
70#2559—21no—
71#2541C2211yescharacteristic
72#2541C2211yescharacteristic
73#2541C2211yescharacteristic
74#2541C2211yescharacteristic
75#2541C2211yescharacteristic
76#2541C2211yescharacteristic
77#2541C2211yescharacteristic
78#2541C2211yescharacteristic
79#2536C2211yescharacteristic, complemented
80#2521—21no—
81#2487C2211yescharacteristic, complemented
82#2485C2211yescharacteristic, complemented
83#2476—21no—
84#2474—21no—
85#2433—21no—
86#2433—21no—
87#2433—21no—
88#2433—21no—
89#2417C2211yescharacteristic, complemented
90#2415C2211yescharacteristic, complemented
91#2352C2211yescharacteristic, complemented
92#2311C2211yescharacteristic
93#2311C2211yescharacteristic
94C4×C22⋊Q8C2211yescharacteristic
95C4×#117C2211yescharacteristic
96#2041C2211yescharacteristic
97#2041C2211yescharacteristic
98#2041C2211yescharacteristic
99#2041C2211yescharacteristic
100#2041C2211yescharacteristic
101#2041C2211yescharacteristic
102#2034C2211yescharacteristic, complemented
103#2034C2211yescharacteristic, complemented
104#2034C2211yescharacteristic, complemented
105#2034C2211yescharacteristic, complemented
106#2034C2211yescharacteristic, complemented
107#2034C2211yescharacteristic, complemented
108#2034C2211yescharacteristic, complemented
109#2034C2211yescharacteristic, complemented
110#2034C2211yescharacteristic, complemented
111#2034C2211yescharacteristic, complemented
112#2033C2211yescharacteristic, complemented
113#2033C2211yescharacteristic, complemented
114#2033C2211yescharacteristic, complemented
115#2033C2211yescharacteristic, complemented
116#2033C2211yescharacteristic, complemented
117#2033C2211yescharacteristic, complemented
118#2033C2211yescharacteristic, complemented
119#2033C2211yescharacteristic, complemented
120#2033C2211yescharacteristic, complemented
121#2033C2211yescharacteristic, complemented
122#2014C2211yescharacteristic
123#2014C2211yescharacteristic
124#2000C2211yescharacteristic, complemented
125#2000C2211yescharacteristic, complemented
126#2000C2211yescharacteristic, complemented
127#2000C2211yescharacteristic, complemented
128#2000C2211yescharacteristic, complemented
129#2000C2211yescharacteristic, complemented
130#2000C2211yescharacteristic, complemented
131#2000C2211yescharacteristic, complemented
132#2000C2211yescharacteristic, complemented
133#2000C2211yescharacteristic, complemented
134#2000C2211yescharacteristic, complemented
135#2000C2211yescharacteristic, complemented
136#1989C2211yescharacteristic, complemented
137#1989C2211yescharacteristic, complemented
138#1982C2211yescharacteristic
139#1982C2211yescharacteristic
140#1961C2211yescharacteristic
141#1961C2211yescharacteristic
142#1955C2211yescharacteristic, complemented
143#1955C2211yescharacteristic, complemented
144#1949C2211yescharacteristic, complemented
145#1949C2211yescharacteristic, complemented
146#1928C2211yescharacteristic, complemented
147#1927C2211yescharacteristic, complemented
148#1921C2211yescharacteristic, complemented
149#1921C2211yescharacteristic, complemented
150#1920C2211yescharacteristic, complemented
151#1920C2211yescharacteristic, complemented
152#1919C2211yescharacteristic, complemented
153#1918C2211yescharacteristic, complemented
154#1895C2211yescharacteristic, complemented
155#1895C2211yescharacteristic, complemented
156#1895C2211yescharacteristic, complemented
157#1895C2211yescharacteristic, complemented
158#1895C2211yescharacteristic, complemented
159#1895C2211yescharacteristic, complemented
160#1893C2211yescharacteristic, complemented
161#1893C2211yescharacteristic, complemented
162#1893C2211yescharacteristic, complemented
163#1893C2211yescharacteristic, complemented
164#1893C2211yescharacteristic, complemented
165#1893C2211yescharacteristic, complemented
166#1875C2211yescharacteristic, complemented
167#1875C2211yescharacteristic, complemented
168#1875C2211yescharacteristic, complemented
169#1875C2211yescharacteristic, complemented
170#1875C2211yescharacteristic, complemented
171#1875C2211yescharacteristic, complemented
172#1874C2211yescharacteristic, complemented
173#1874C2211yescharacteristic, complemented
174#1874C2211yescharacteristic, complemented
175#1874C2211yescharacteristic, complemented
176#1874C2211yescharacteristic, complemented
177#1874C2211yescharacteristic, complemented
178#1873C2211yescharacteristic
179#1870C2211yescharacteristic, complemented
180#1870C2211yescharacteristic, complemented
181#1869C2211yescharacteristic, complemented
182#1869C2211yescharacteristic, complemented
183#1854C2211yescharacteristic
184#1854C2211yescharacteristic
185#1854C2211yescharacteristic
186#1825C2211yescharacteristic
187#1825C2211yescharacteristic
188#1825C2211yescharacteristic
189#1797C2211yescharacteristic
190#1786C2211yescharacteristic
191#1786C2211yescharacteristic
192#1786C2211yescharacteristic
193#1786C2211yescharacteristic
194#1786C2211yescharacteristic
195#1786C2211yescharacteristic
196#1780C2211yescharacteristic
197#1780C2211yescharacteristic
198#1776C2211yescharacteristic, complemented
199#1776C2211yescharacteristic, complemented
200#1763C2211yescharacteristic, complemented
201#1763C2211yescharacteristic, complemented
202#1749C2211yescharacteristic
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C23×D4—21no—
206C23×D4—21no—
207C23×D4C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×M16C2311yescharacteristic
214C22×M16C2311yescharacteristic
215C23×C8C2311yescharacteristic
216C23×C8C2311yescharacteristic
217#552—42no—
218#552—42no—
219#535—24no—
220#535—24no—
221#535—42no—
222#535—42no—
223#535—42no—
224#535—42no—
225#535—42no—
226#535—42no—
227#532—42no—
228#532—42no—
229C2×C4⋊Q8D411yescharacteristic
230C2×#127—21no—
231C2×#127—21no—
232C2×#127—21no—
233C2×#127—21no—
234C2×#127—21no—
235C2×#127—21no—
236C2×#127—21no—
237C2×#127—21no—
238C2×#127—21no—
239C2×#127—21no—
240C2×#127—21no—
241C2×#127—21no—
242C2×#127—21no—
243C2×#127—21no—
244C2×#127—42no—
245C2×#127—42no—
246C2×#127D411yescharacteristic
247C2×#127C2311yescharacteristic
248C2×#127C2311yescharacteristic
249C2×#127C2311yescharacteristic
250C2×#127C2311yescharacteristic
251C2×#126—21no—
252C2×#125—21no—
253C2×#125C2311yescharacteristic
254C2×#124—21no—
255C2×#124—21no—
256C2×#124—21no—
257C2×#124—21no—
258C2×#124D411yescharacteristic
259C2×#124D411yescharacteristic
260C2×#123—21no—
261C2×C22⋊Q8C2311yescharacteristic
262C2×C22⋊Q8C2311yescharacteristic
263C2×C22⋊Q8C2311yescharacteristic
264C2×C22⋊Q8C2311yescharacteristic
265C2×C22⋊Q8C2311yescharacteristic
266C2×#121D411yescharacteristic
267C2×#121D411yescharacteristic
268C2×#121D411yescharacteristic
269C2×#121D411yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#121C2311yescharacteristic
283C2×#121C2311yescharacteristic
284C2×#121C2311yescharacteristic
285C2×#121C2311yescharacteristic
286C2×#120—21no—
287C2×#120—21no—
288C2×#120—21no—
289C2×#120—21no—
290C2×#120—21no—
291C2×#120—21no—
292C2×#120—21no—
293C2×#120—21no—
294C2×C4×Q8C2311yescharacteristic
295C2×C4×D4C2311yescharacteristic
296C2×C4×D4C2311yescharacteristic
297C2×C4×D4C2311yescharacteristic
298C2×C4×D4C2311yescharacteristic
299C2×#117—21no—
300C2×#117C2311yescharacteristic
301C2×#117C2311yescharacteristic
302C2×#117C2311yescharacteristic
303C2×#117C2311yescharacteristic
304C22×C4⋊C4C2311yescharacteristic
305C22×C4⋊C4C2311yescharacteristic
306C22×C42C2311yescharacteristic
307#490—42no—
308#490—42no—
309#485—24no—
310#482—42no—
311#482—42no—
312#481—42no—
313#480—42no—
314#468—42no—
315#468—42no—
316#465—42no—
317#465—42no—
318#460—42no—
319#460—42no—
320#450—42no—
321#450—42no—
322#435—42no—
323#435—42no—
324C2×#107C2311yescharacteristic
325C2×#107C2311yescharacteristic
326C2×#107C2311yescharacteristic
327C2×#107C2311yescharacteristic
328C2×#106C2311yescharacteristic
329C2×#106C2311yescharacteristic
330C2×#106C2311yescharacteristic
331C2×#106C2311yescharacteristic
332C2×C4⋊C8C2311yescharacteristic
333C2×C4⋊C8C2311yescharacteristic
334C2×#103C2311yescharacteristic
335C2×#103C2311yescharacteristic
336C2×#103C2311yescharacteristic
337C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
360C2×#102C2311yescharacteristic
361C2×#102C2311yescharacteristic
362C2×#102C2311yescharacteristic
363C2×#102C2311yescharacteristic
364C2×#102C2311yescharacteristic
365C2×#102C2311yescharacteristic
366#408—42no—
367#408—42no—
368C2×C22⋊C8C2311yescharacteristic
369C2×C22⋊C8C2311yescharacteristic
370C2×C22⋊C8C2311yescharacteristic
371C2×C22⋊C8C2311yescharacteristic
372C2×C22⋊C8C2311yescharacteristic
373C2×C22⋊C8C2311yescharacteristic
374C2×C22⋊C8C2311yescharacteristic
375C2×C22⋊C8C2311yescharacteristic
376C2×C22⋊C8C2311yescharacteristic
377C2×C22⋊C8C2311yescharacteristic
378C2×C22⋊C8C2311yescharacteristic
379C2×C22⋊C8C2311yescharacteristic
380C2×C22⋊C8C2311yescharacteristic
381C2×C22⋊C8C2311yescharacteristic
382C2×C22⋊C8C2311yescharacteristic
383C2×C22⋊C8C2311yescharacteristic
384C2×#97C2311yescharacteristic
385C2×#97C2311yescharacteristic
386#400—21no—
387#400—21no—
388#399—21no—
389#398—21no—
390#398—21no—
391#397—21no—
392#397—21no—
393#396—21no—
394#395—21no—
395#395—21no—
396#394—21no—
397#394—21no—
398#394—21no—
399#394—21no—
400#394—21no—
401#394—21no—
402#394—21no—
403#394—21no—
404#394—21no—
405#394—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#392—21no—
415#392—21no—
416#392—21no—
417#392—21no—
418#392—21no—
419#392—21no—
420#392—21no—
421#392—21no—
422#391—21no—
423#391—21no—
424#391C2311yescharacteristic
425#390—21no—
426#390—21no—
427#390—21no—
428#390—21no—
429#390—21no—
430#390—21no—
431#390—21no—
432#390—21no—
433#390—21no—
434#390—21no—
435#389—21no—
436#389C2311yescharacteristic
437#389C2311yescharacteristic
438#389C2311yescharacteristic
439#388—21no—
440#388—21no—
441#388—21no—
442#388—21no—
443#388—21no—
444#388—21no—
445#388—21no—
446#387—21no—
447#387—21no—
448#387—21no—
449#387—21no—
450#387—21no—
451#386—21no—
452#386—21no—
453#386—21no—
454#386—21no—
455#386—21no—
456#386—21no—
457#386—21no—
458#385—21no—
459#385—21no—
460#385—21no—
461#385—21no—
462#382C2311yescharacteristic
463#380—21no—
464#380C2311yescharacteristic
465#380C2311yescharacteristic
466#380C2311yescharacteristic
467#380C2311yescharacteristic
468#380C2311yescharacteristic
469#380C2311yescharacteristic
470#380C2311yescharacteristic
471#380C2311yescharacteristic
472#380C2311yescharacteristic
473#380C2311yescharacteristic
474#380C2311yescharacteristic
475C4×C4⋊C4—21no—
476C4×C4⋊C4C2311yescharacteristic
477C4×C4⋊C4C2311yescharacteristic
478C4×C4⋊C4C2311yescharacteristic
479C4×C4⋊C4C2311yescharacteristic
480C4×C4⋊C4C2311yescharacteristic
481C4×C22⋊C4—21no—
482C4×C22⋊C4—21no—
483C4×C22⋊C4—21no—
484C4×C22⋊C4—21no—
485#376—21no—
486C43—21no—
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#340C2311yescharacteristic
504#340C2311yescharacteristic
505#340C2311yescharacteristic
506#340C2311yescharacteristic
507#336C2311yescharacteristic
508#336C2311yescharacteristic
509#336C2311yescharacteristic
510#336C2311yescharacteristic
511C25—21no—
512C25—21no—
513C2×#41—22no—
514C2×#41—22no—
515C2×#41—22no—
516C2×#41—22no—
517C2×#41—41no—
518C2×#41—41no—
519C2×#41—41no—
520C2×#41—41no—
521C2×#41—41no—
522C2×#41—41no—
523C2×#41—41no—
524C2×#41—41no—
525C22×Q8C2×D411yescharacteristic
526C22×Q8C2×D411yescharacteristic
527C22×Q8C2411yescharacteristic
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—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—21no—
553C22×D4—21no—
554C22×D4—22no—
555C22×D4—22no—
556C22×D4—22no—
557C22×D4—22no—
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×D4C2×D411yescharacteristic
579C22×D4C2×D411yescharacteristic
580C22×D4C2×D411yescharacteristic
581C22×D4C2×D411yescharacteristic
582C22×D4C2411yescharacteristic
583C22×D4C2411yescharacteristic
584C22×D4C2411yescharacteristic
585C22×D4C2411yescharacteristic
586C23×C4—21no—
587C23×C4—21no—
588C23×C4C2×D411yescharacteristic
589C23×C4C2×D411yescharacteristic
590C23×C4C2411yescharacteristic
591C23×C4C2411yescharacteristic
592C23×C4C2411yescharacteristic
593C23×C4C2411yescharacteristic
594C23×C4C2411yescharacteristic
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×SD16—41no—
604C2×SD16—41no—
605C2×SD16—41no—
606C2×SD16—41no—
607C2×M16—41no—
608C2×M16—41no—
609C2×M16—41no—
610C2×M16—41no—
611C2×M16—41no—
612C2×M16—41no—
613C22×C8—41no—
614C22×C8—41no—
615C22×C8—41no—
616C22×C8—41no—
617C22×C8—41no—
618C22×C8—41no—
619C22×C8C2411yescharacteristic
620C22×C8C2411yescharacteristic
621C22×C8C2411yescharacteristic
622C22×C8C2411yescharacteristic
623C22×C8C2411yescharacteristic
624C22×C8C2411yescharacteristic
625C22×C8C2411yescharacteristic
626C22×C8C2411yescharacteristic
627C4⋊Q8—42no—
628#127—22no—
629#127—22no—
630#127—22no—
631#127—22no—
632#127—41no—
633#127—41no—
634#127—41no—
635#127—41no—
636#127—42no—
637#127—44no—
638#127—44no—
639#127—44no—
640#127—44no—
641#127—44no—
642#127—44no—
643#127—82no—
644#127—82no—
645#127—82no—
646#127—82no—
647#127—82no—
648#127—82no—
649#127—82no—
650#127—82no—
651#126—44no—
652#125—22no—
653#125—22no—
654#125—44no—
655#124—42no—
656#124—42no—
657#124—44no—
658#124—44no—
659#124—44no—
660#124—44no—
661#123—44no—
662C22⋊Q8—22no—
663C22⋊Q8—22no—
664C22⋊Q8—41no—
665C22⋊Q8—41no—
666C22⋊Q8—41no—
667C22⋊Q8—41no—
668C22⋊Q8—41no—
669C22⋊Q8—41no—
670C22⋊Q8—41no—
671C22⋊Q8—41no—
672#121—22no—
673#121—22no—
674#121—22no—
675#121—22no—
676#121—22no—
677#121—22no—
678#121—22no—
679#121—22no—
680#121—22no—
681#121—22no—
682#121—22no—
683#121—22no—
684#121—22no—
685#121—22no—
686#121—22no—
687#121—22no—
688#121—42no—
689#121—42no—
690#121—42no—
691#121—42no—
692#121—41no—
693#121—41no—
694#121—41no—
695#121—41no—
696#121—41no—
697#121—41no—
698#121—41no—
699#121—41no—
700#121—41no—
701#121—41no—
702#121—41no—
703#121—41no—
704#121—41no—
705#121—41no—
706#121—41no—
707#121—41no—
708#120—44no—
709#120—44no—
710#120—44no—
711#120—44no—
712#120—44no—
713#120—44no—
714#120—44no—
715#120—44no—
716C4×Q8—22no—
717C4×Q8—22no—
718C4×D4—22no—
719C4×D4—22no—
720C4×D4—22no—
721C4×D4—22no—
722C4×D4—41no—
723C4×D4—41no—
724C4×D4—41no—
725C4×D4—41no—
726#117—22no—
727#117—22no—
728#117—22no—
729#117—44no—
730#117—41no—
731#117—41no—
732#117—41no—
733#117—41no—
734#117#4114yes—
735C2×C4⋊C4—21no—
736C2×C4⋊C4—21no—
737C2×C4⋊C4—21no—
738C2×C4⋊C4—21no—
739C2×C4⋊C4—21no—
740C2×C4⋊C4—21no—
741C2×C4⋊C4—21no—
742C2×C4⋊C4—21no—
743C2×C4⋊C4—21no—
744C2×C4⋊C4—21no—
745C2×C4⋊C4—21no—
746C2×C4⋊C4—21no—
747C2×C4⋊C4—21no—
748C2×C4⋊C4—41no—
749C2×C4⋊C4—41no—
750C2×C4⋊C4—41no—
751C2×C4⋊C4—41no—
752C2×C4⋊C4C2×D411yescharacteristic
753C2×C4⋊C4C2×D411yescharacteristic
754C2×C4⋊C4C2×D411yescharacteristic
755C2×C4⋊C4C2×D411yescharacteristic
756C2×C4⋊C4C2411yescharacteristic
757C2×C4⋊C4C2411yescharacteristic
758C2×C4⋊C4C2411yescharacteristic
759C2×C4⋊C4C2411yescharacteristic
760C2×C4⋊C4C2411yescharacteristic
761C2×C4⋊C4C2411yescharacteristic
762C2×C4⋊C4C2411yescharacteristic
763C2×C4⋊C4C2411yescharacteristic
764C2×C4⋊C4C2411yescharacteristic
765C2×C4⋊C4C2411yescharacteristic
766C2×C4⋊C4C2411yescharacteristic
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—21no—
800C2×C22⋊C4—21no—
801C2×C22⋊C4—21no—
802C2×C22⋊C4—21no—
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—22no—
814C2×C42—22no—
815C2×C42—21no—
816C2×C42—21no—
817C2×C42—21no—
818C2×C42—21no—
819C2×C42—21no—
820C2×C42—21no—
821C2×C42—21no—
822C2×C42—21no—
823C2×C42C2×D411yescharacteristic
824C2×C42C2×D411yescharacteristic
825C2×C42C2411yescharacteristic
826C2×C42C2411yescharacteristic
827#107—22no—
828#107—22no—
829#107—22no—
830#107—22no—
831#106—22no—
832#106—22no—
833#106—22no—
834#106—22no—
835C4⋊C8—22no—
836C4⋊C8—22no—
837#103—22no—
838#103—22no—
839#103—22no—
840#103—22no—
841#102—41no—
842#102—41no—
843#102—41no—
844#102—41no—
845#102—41no—
846#102—41no—
847#102—41no—
848#102—41no—
849#102—41no—
850#102—41no—
851#102—41no—
852#102—41no—
853#102—41no—
854#102—41no—
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—
865#102—41no—
866#102—41no—
867#102—41no—
868#102—41no—
869C22⋊C8—22no—
870C22⋊C8—22no—
871C22⋊C8—22no—
872C22⋊C8—22no—
873C22⋊C8—41no—
874C22⋊C8—41no—
875C22⋊C8—41no—
876C22⋊C8—41no—
877C22⋊C8—41no—
878C22⋊C8—41no—
879C22⋊C8—41no—
880C22⋊C8—41no—
881C22⋊C8—41no—
882C22⋊C8—41no—
883C22⋊C8—41no—
884C22⋊C8—41no—
885#97—22no—
886#97—22no—
887#95—21no—
888#95—21no—
889#95—21no—
890#95—21no—
891#95—21no—
892#95—21no—
893#95—21no—
894#95—21no—
895#95—21no—
896#95—21no—
897#95—21no—
898#95—21no—
899#95—21no—
900#95—21no—
901#95—21no—
902#95—21no—
903#95—21no—
904#95—21no—
905#95—21no—
906#95—21no—
907#95—21no—
908#95—21no—
909#95—21no—
910C24—21no—
911C24—21no—
912C24—21no—
913C24—21no—
914C24—42no—
915C24—42no—
916C24—42no—
917C24—42no—
918C24—42no—
919C24—42no—
920C24—81no—
921C24—81no—
922C24—81no—
923C24—81no—
924C24—81no—
925C24—81no—
926C24—81no—
927C24—81no—
928C24C22×D411yescharacteristic
929C24C22×D411yescharacteristic
930C24C22×D411yescharacteristic
931C24C22×D411yescharacteristic
932C24C22×D411yescharacteristic
933#41—82no—
934#41—82no—
935#41—82no—
936#41—82no—
937#41—82no—
938#41—82no—
939#41—82no—
940#41—82no—
941C2×Q8—22no—
942C2×Q8—22no—
943C2×Q8—21no—
944C2×Q8—21no—
945C2×Q8—21no—
946C2×Q8—21no—
947C2×Q8—21no—
948C2×Q8—21no—
949C2×Q8—41no—
950C2×Q8—41no—
951C2×Q8—41no—
952C2×Q8—41no—
953C2×D4—22no—
954C2×D4—22no—
955C2×D4—22no—
956C2×D4—22no—
957C2×D4—22no—
958C2×D4—22no—
959C2×D4—22no—
960C2×D4—22no—
961C2×D4—22no—
962C2×D4—22no—
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—21no—
985C2×D4—21no—
986C2×D4—21no—
987C2×D4—41no—
988C2×D4—41no—
989C2×D4—41no—
990C2×D4—41no—
991C2×D4—41no—
992C2×D4—41no—
993C2×D4—41no—
994C2×D4—41no—
995C2×D4—41no—
996C2×D4—41no—
997C2×D4—41no—
998C2×D4—41no—
999C2×D4—41no—
1000C2×D4—41no—
1001C2×D4—41no—
1002C2×D4—41no—
1003C2×D4—41no—
1004C2×D4—41no—
1005C2×D4—41no—
1006C2×D4—41no—
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—42no—
1026C2×D4—42no—
1027C2×D4—42no—
1028C2×D4—42no—
1029C2×D4—42no—
1030C2×D4—42no—
1031C2×D4—42no—
1032C2×D4—42no—
1033C2×D4—42no—
1034C2×D4—42no—
1035C2×D4—42no—
1036C2×D4—42no—
1037C2×D4—42no—
1038C2×D4—42no—
1039C2×D4—42no—
1040C2×D4—42no—
1041C2×D4—42no—
1042C2×D4—42no—
1043C2×D4—42no—
1044C2×D4—42no—
1045C2×D4—82no—
1046C2×D4—82no—
1047C2×D4—82no—
1048C2×D4—82no—
1049C2×D4—82no—
1050C2×D4—82no—
1051C2×D4—82no—
1052C2×D4—82no—
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—816no—
1062C2×D4—816no—
1063C2×D4—81no—
1064C2×D4—81no—
1065C2×D4—81no—
1066C2×D4—81no—
1067C2×D4—81no—
1068C2×D4—81no—
1069C2×D4—81no—
1070C2×D4—81no—
1071C2×D4—81no—
1072C2×D4—81no—
1073C2×D4—81no—
1074C2×D4—81no—
1075C2×D4—81no—
1076C2×D4—81no—
1077C2×D4—81no—
1078C2×D4—81no—
1079C2×D4—81no—
1080C2×D4—81no—
1081C2×D4—81no—
1082C2×D4—81no—
1083C2×D4—81no—
1084C2×D4—81no—
1085C2×D4—81no—
1086C2×D4—81no—
1087C2×D4—81no—
1088C2×D4—81no—
1089C2×D4—81no—
1090C2×D4—81no—
1091C2×D4—81no—
1092C2×D4—81no—
1093C2×D4—81no—
1094C2×D4—81no—
1095C22×C4—21no—
1096C22×C4—21no—
1097C22×C4—21no—
1098C22×C4—21no—
1099C22×C4—21no—
1100C22×C4—21no—
1101C22×C4—21no—
1102C22×C4—21no—
1103C22×C4—22no—
1104C22×C4—22no—
1105C22×C4—22no—
1106C22×C4—21no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—21no—
1117C22×C4—21no—
1118C22×C4—21no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—21no—
1128C22×C4—21no—
1129C22×C4—21no—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—41no—
1139C22×C4—41no—
1140C22×C4—41no—
1141C22×C4—42no—
1142C22×C4—81no—
1143C22×C4—81no—
1144C22×C4—81no—
1145C22×C4—81no—
1146C22×C4—81no—
1147C22×C4C22×D411yescharacteristic
1148C22×C4C22×D411yescharacteristic
1149C22×C4C22×D411yescharacteristic
1150C22×C4C22×D411yescharacteristic
1151C22×C4C22×D411yescharacteristic
1152C22×C4C22×D411yescharacteristic
1153C22×C4C22×D411yescharacteristic
1154C22×C4C22×D411yescharacteristic
1155C22×C4C22×D411yescharacteristic
1156C22×C4C2×#4112yes—
1157C22×C4H(5,𝔽2)12yes—
1158C22×C4C2511yescharacteristic
1159SD16—82no—
1160SD16—82no—
1161SD16—82no—
1162SD16—82no—
1163M16—82no—
1164M16—82no—
1165C2×C8—21no—
1166C2×C8—21no—
1167C2×C8—21no—
1168C2×C8—21no—
1169C2×C8—21no—
1170C2×C8—21no—
1171C2×C8—21no—
1172C2×C8—21no—
1173C2×C8—21no—
1174C2×C8—21no—
1175C2×C8—21no—
1176C2×C8—21no—
1177C2×C8—21no—
1178C2×C8—21no—
1179C2×C8—21no—
1180C2×C8—21no—
1181C2×C8—21no—
1182C2×C8—21no—
1183C2×C8—21no—
1184C2×C8—21no—
1185C2×C8—21no—
1186C2×C8—21no—
1187C2×C8—21no—
1188C2×C8—21no—
1189C2×C8—82no—
1190C2×C8—82no—
1191C4⋊C4—22no—
1192C4⋊C4—22no—
1193C4⋊C4—21no—
1194C4⋊C4—21no—
1195C4⋊C4—21no—
1196C4⋊C4—21no—
1197C4⋊C4—21no—
1198C4⋊C4—21no—
1199C4⋊C4—21no—
1200C4⋊C4—21no—
1201C4⋊C4—21no—
1202C4⋊C4—21no—
1203C4⋊C4—21no—
1204C4⋊C4—21no—
1205C4⋊C4—21no—
1206C4⋊C4—21no—
1207C4⋊C4—21no—
1208C4⋊C4—21no—
1209C4⋊C4—21no—
1210C4⋊C4—21no—
1211C4⋊C4—41no—
1212C4⋊C4—41no—
1213C4⋊C4—42no—
1214C4⋊C4—42no—
1215C4⋊C4—42no—
1216C4⋊C4—42no—
1217C4⋊C4—42no—
1218C4⋊C4—42no—
1219C4⋊C4—42no—
1220C4⋊C4—42no—
1221C4⋊C4—81no—
1222C4⋊C4—81no—
1223C4⋊C4—81no—
1224C4⋊C4—81no—
1225C4⋊C4—81no—
1226C4⋊C4C2×#4112yes—
1227C4⋊C4C2×#4112yes—
1228C4⋊C4H(5,𝔽2)12yes—
1229C4⋊C4H(5,𝔽2)12yes—
1230C22⋊C4—24no—
1231C22⋊C4—24no—
1232C22⋊C4—22no—
1233C22⋊C4—22no—
1234C22⋊C4—22no—
1235C22⋊C4—22no—
1236C22⋊C4—41no—
1237C22⋊C4—41no—
1238C22⋊C4—41no—
1239C22⋊C4—41no—
1240C22⋊C4—42no—
1241C22⋊C4—42no—
1242C22⋊C4—42no—
1243C22⋊C4—42no—
1244C22⋊C4—42no—
1245C22⋊C4—42no—
1246C22⋊C4—42no—
1247C22⋊C4—42no—
1248C22⋊C4—42no—
1249C22⋊C4—42no—
1250C22⋊C4—42no—
1251C22⋊C4—42no—
1252C22⋊C4—42no—
1253C22⋊C4—42no—
1254C22⋊C4—42no—
1255C22⋊C4—42no—
1256C22⋊C4—42no—
1257C22⋊C4—42no—
1258C22⋊C4—42no—
1259C22⋊C4—42no—
1260C22⋊C4—81no—
1261C22⋊C4—81no—
1262C22⋊C4—81no—
1263C22⋊C4—81no—
1264C22⋊C4—81no—
1265C22⋊C4—81no—
1266C22⋊C4—81no—
1267C22⋊C4—81no—
1268C22⋊C4—81no—
1269C22⋊C4—81no—
1270C22⋊C4—81no—
1271C22⋊C4—81no—
1272C22⋊C4—81no—
1273C22⋊C4—81no—
1274C42—24no—
1275C42—22no—
1276C42—22no—
1277C42—24no—
1278C42—21no—
1279C42—21no—
1280C42—42no—
1281C42—42no—
1282C42—42no—
1283C42—42no—
1284C42—42no—
1285C42—42no—
1286C42—81no—
1287C42—81no—
1288C42H(5,𝔽2)12yes—
1289C42H(5,𝔽2)12yes—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—41no—
1325C23—41no—
1326C23—41no—
1327C23—41no—
1328C23—41no—
1329C23—41no—
1330C23—41no—
1331C23—41no—
1332C23—41no—
1333C23—41no—
1334C23—41no—
1335C23—41no—
1336C23—41no—
1337C23—41no—
1338C23—41no—
1339C23—41no—
1340C23—41no—
1341C23—41no—
1342C23—41no—
1343C23—41no—
1344C23—41no—
1345C23—41no—
1346C23—41no—
1347C23—41no—
1348C23—41no—
1349C23—41no—
1350C23—41no—
1351C23—41no—
1352C23—84no—
1353C23—84no—
1354C23—84no—
1355C23—84no—
1356C23—84no—
1357C23—84no—
1358C23—162no—
1359C23—162no—
1360C23—162no—
1361C23—162no—
1362C23—162no—
1363C23—162no—
1364C23—162no—
1365C23—162no—
1366C23#54612yes—
1367C23C23×D411yescharacteristic
1368Q8—41no—
1369Q8—41no—
1370Q8—41no—
1371Q8—41no—
1372Q8—82no—
1373Q8—82no—
1374D4—41no—
1375D4—41no—
1376D4—41no—
1377D4—41no—
1378D4—41no—
1379D4—41no—
1380D4—41no—
1381D4—41no—
1382D4—41no—
1383D4—41no—
1384D4—41no—
1385D4—41no—
1386D4—41no—
1387D4—41no—
1388D4—41no—
1389D4—41no—
1390D4—82no—
1391D4—82no—
1392D4—82no—
1393D4—82no—
1394D4—82no—
1395D4—82no—
1396D4—84no—
1397D4—84no—
1398D4—84no—
1399D4—84no—
1400D4—84no—
1401D4—84no—
1402D4—84no—
1403D4—84no—
1404D4—82no—
1405D4—82no—
1406D4—82no—
1407D4—82no—
1408D4—84no—
1409D4—84no—
1410D4—162no—
1411D4—162no—
1412D4—162no—
1413D4—162no—
1414D4—162no—
1415D4—162no—
1416D4—162no—
1417D4—162no—
1418D4—162no—
1419D4—162no—
1420D4—162no—
1421D4—162no—
1422D4—162no—
1423D4—162no—
1424D4—162no—
1425D4—162no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—44no—
1458C2×C4—44no—
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—41no—
1484C2×C4—41no—
1485C2×C4—41no—
1486C2×C4—41no—
1487C2×C4—41no—
1488C2×C4—41no—
1489C2×C4—41no—
1490C2×C4—41no—
1491C2×C4—41no—
1492C2×C4—41no—
1493C2×C4—41no—
1494C2×C4—41no—
1495C2×C4—41no—
1496C2×C4—41no—
1497C2×C4—41no—
1498C2×C4—41no—
1499C2×C4—41no—
1500C2×C4—41no—
1501C2×C4—41no—
1502C2×C4—41no—
1503C2×C4—41no—
1504C2×C4—41no—
1505C2×C4—41no—
1506C2×C4—41no—
1507C2×C4—84no—
1508C2×C4—162no—
1509C2×C4#53412yes—
1510C2×C4#53412yes—
1511C2×C4#54612yes—
1512C2×C4#57712yes—
1513C2×C4C22×#4111yescharacteristic
1514C2×C4C2×H(5,𝔽2)11yescharacteristic
1515C2×C4C2×H(5,𝔽2)11yescharacteristic
1516C2×C4C2×H(5,𝔽2)11yescharacteristic
1517C2×C4C2×H(5,𝔽2)11yescharacteristic
1518C2×C4C2×H(5,𝔽2)11yescharacteristic
1519C8—41no—
1520C8—41no—
1521C8—41no—
1522C8—41no—
1523C8—41no—
1524C8—41no—
1525C8—41no—
1526C8—41no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—81no—
1563C22—81no—
1564C22—81no—
1565C22—81no—
1566C22—81no—
1567C22—81no—
1568C22—81no—
1569C22—81no—
1570C22—81no—
1571C22—81no—
1572C22—81no—
1573C22—81no—
1574C22—81no—
1575C22—81no—
1576C22—81no—
1577C22—81no—
1578C22—81no—
1579C22—81no—
1580C22—81no—
1581C22—81no—
1582C22—81no—
1583C22—81no—
1584C22—81no—
1585C22—81no—
1586C22—81no—
1587C22—81no—
1588C22—81no—
1589C22—81no—
1590C22—168no—
1591C22—168no—
1592C22C2×#53411yescharacteristic
1593C22C2×#54611yescharacteristic
1594C22#348411yescharacteristic
1595C22C2×#57711yescharacteristic
1596C22#358511yescharacteristic
1597C22#358511yescharacteristic
1598C22#358511yescharacteristic
1599C4—22no—
1600C4—22no—
1601C4—22no—
1602C4—22no—
1603C4—42no—
1604C4—42no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—42no—
1611C4—42no—
1612C4—81no—
1613C4—81no—
1614C4—81no—
1615C4—81no—
1616C4—81no—
1617C4—81no—
1618C4—81no—
1619C4—81no—
1620C4#350811yescharacteristic
1621C4#350811yescharacteristic
1622C4#354311yescharacteristic
1623C4#354311yescharacteristic
1624C2—42no—
1625C2—81no—
1626C2—81no—
1627C2—81no—
1628C2—81no—
1629C2—161no—
1630C2—161no—
1631C2—161no—
1632C2—161no—
1633C2#3946411yescharacteristic
1634C2#6075311yescharacteristic
1635C2#6075711yescharacteristic
1636C2#6120611yescharacteristic
1637C2#6122311yescharacteristic
1638C2#6167511yescharacteristic
1639C2#6168911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#35274C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#532 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #39463C2semidirect
3. #33152C2semidirect
4. #32045C2semidirect
5. #32036C2semidirect
6. #32035C2semidirect
7. #32028C2semidirect
8. #30730C2semidirect
9. #30717C2semidirect
10. #30716C2semidirect
11. #30703C2semidirect
12. #29604C2semidirect
13. #29604C2semidirect
14. #28609C2semidirect
15. #28609C2semidirect
16. #26248C2semidirect
17. #26246C2semidirect
18. #25860C2semidirect
19. #25583C2semidirect
20. #25583C2semidirect
21. #25402C2semidirect
22. #25402C2semidirect
23. #24394C2semidirect
24. #24394C2semidirect
25. #24211C2semidirect
26. #24015C2semidirect
27. #24013C2semidirect
28. #22403C2semidirect
29. #21770C2semidirect
30. #21770C2semidirect
31. #21583C2semidirect
32. C2×#552C22semidirect
41. C2×#481C22semidirect
43. C2×#482C22semidirect
44. C2×#482C22semidirect
45. C2×#480C22semidirect
46. C2×#468C22semidirect
47. C2×#468C22semidirect
48. C2×#465C22semidirect
49. C2×#465C22semidirect
54. C2×#435C22semidirect
55. C2×#435C22semidirect
69. #2562C22semidirect
79. #2536C22semidirect
81. #2487C22semidirect
82. #2485C22semidirect
89. #2417C22semidirect
90. #2415C22semidirect
91. #2352C22semidirect
102. #2034C22semidirect
103. #2034C22semidirect
104. #2034C22semidirect
105. #2034C22semidirect
106. #2034C22semidirect
107. #2034C22semidirect
108. #2034C22semidirect
109. #2034C22semidirect
110. #2034C22semidirect
111. #2034C22semidirect
112. #2033C22semidirect
113. #2033C22semidirect
114. #2033C22semidirect
115. #2033C22semidirect
116. #2033C22semidirect
117. #2033C22semidirect
118. #2033C22semidirect
119. #2033C22semidirect
120. #2033C22semidirect
121. #2033C22semidirect
124. #2000C22semidirect
125. #2000C22semidirect
126. #2000C22semidirect
127. #2000C22semidirect
128. #2000C22semidirect
129. #2000C22semidirect
130. #2000C22semidirect
131. #2000C22semidirect
132. #2000C22semidirect
133. #2000C22semidirect
134. #2000C22semidirect
135. #2000C22semidirect
136. #1989C22semidirect
137. #1989C22semidirect
142. #1955C22semidirect
143. #1955C22semidirect
144. #1949C22semidirect
145. #1949C22semidirect
146. #1928C22semidirect
147. #1927C22semidirect
148. #1921C22semidirect
149. #1921C22semidirect
150. #1920C22semidirect
151. #1920C22semidirect
152. #1919C22semidirect
153. #1918C22semidirect
154. #1895C22semidirect
155. #1895C22semidirect
156. #1895C22semidirect
157. #1895C22semidirect
158. #1895C22semidirect
159. #1895C22semidirect
160. #1893C22semidirect
161. #1893C22semidirect
162. #1893C22semidirect
163. #1893C22semidirect
164. #1893C22semidirect
165. #1893C22semidirect
166. #1875C22semidirect
167. #1875C22semidirect
168. #1875C22semidirect
169. #1875C22semidirect
170. #1875C22semidirect
171. #1875C22semidirect
172. #1874C22semidirect
173. #1874C22semidirect
174. #1874C22semidirect
175. #1874C22semidirect
176. #1874C22semidirect
177. #1874C22semidirect
179. #1870C22semidirect
180. #1870C22semidirect
181. #1869C22semidirect
182. #1869C22semidirect
198. #1776C22semidirect
199. #1776C22semidirect
200. #1763C22semidirect
201. #1763C22semidirect

Maximal subgroups

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

subgroupindex
#394632
#352742
#331522
#320452
#320362
#320352
#320282
#307302
#307172
#307162
#307032
#296042
#286092
#262482
#262462
#258602
#255832
#254022
#243942
#242112
#240152
#240132
#224032
#217702
#215832