Finite Group Databasebeta

← #7516375

Subgroups — #7516375

Order 512.

2290 conjugacy classes of subgroups.

The subgroup lattice has 1592 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3309C211yesmaximal, characteristic, complemented
2C2×#3094C211yesmaximal, characteristic, complemented
3#59003C211yesmaximal, characteristic, complemented
4#36438C211yesmaximal, characteristic, complemented
5#31126C211yesmaximal, characteristic, complemented
6#31026C211yesmaximal, characteristic, complemented
7#30719C211yesmaximal, characteristic, complemented
8#30647C211yesmaximal, characteristic, complemented
9#28337C211yesmaximal, characteristic, complemented
10#27279C211yesmaximal, characteristic, complemented
11#26926C211yesmaximal, characteristic, complemented
12#26640C211yesmaximal, characteristic, complemented
13#26362C211yesmaximal, characteristic, complemented
14#26230C211yesmaximal, characteristic, complemented
15#26147C211yesmaximal, characteristic, complemented
16#25534C211yesmaximal, characteristic, complemented
17#25249C211yesmaximal, characteristic, complemented
18#25209C211yesmaximal, characteristic, complemented
19#25097C211yesmaximal, characteristic, complemented
20#24877C211yesmaximal, characteristic, complemented
21#24792C211yesmaximal, characteristic, complemented
22#24484C211yesmaximal, characteristic, complemented
23#24450C211yesmaximal, characteristic, complemented
24#24388C211yesmaximal, characteristic, complemented
25#24378C211yesmaximal, characteristic, complemented
26#24034C211yesmaximal, characteristic, complemented
27#23041C211yesmaximal, characteristic, complemented
28#22923C211yesmaximal, characteristic, complemented
29#22848C211yesmaximal, characteristic, complemented
30#22427C211yesmaximal, characteristic, complemented
31#20908C211yesmaximal, characteristic, complemented
32C2×#553C2211yescharacteristic, complemented
33C2×#550C2211yescharacteristic
34C2×#546C2211yescharacteristic
35C2×#525C2211yescharacteristic
36C22×#121C2211yescharacteristic
37C22×#117C2211yescharacteristic
38#3309—28no—
39C2×#490C2211yescharacteristic, complemented
40#3094—28no—
41C2×#481C2211yescharacteristic
42C2×#481C2211yescharacteristic
43C2×#482C2211yescharacteristic
44C2×#482C2211yescharacteristic
45C2×#482C2211yescharacteristic
46C2×#482C2211yescharacteristic
47C2×#480C2211yescharacteristic
48C2×#480C2211yescharacteristic
49C2×#480C2211yescharacteristic, complemented
50C2×#479C2211yescharacteristic, complemented
51C2×#469C2211yescharacteristic
52C2×#469C2211yescharacteristic, complemented
53C2×#468C2211yescharacteristic
54C2×#466C2211yescharacteristic
55C2×#466C2211yescharacteristic
56C2×#459C2211yescharacteristic, complemented
57C2×#449C2211yescharacteristic, complemented
58C2×#449C2211yescharacteristic, complemented
59C2×#447C2211yescharacteristic
60C2×#440C2211yescharacteristic, complemented
61C2×#436C2211yescharacteristic
62C2×#435C2211yescharacteristic, complemented
63C2×#428C2211yescharacteristic
64C2×#428C2211yescharacteristic
65C2×#417C2211yescharacteristic, complemented
66C2×#418C2211yescharacteristic
67C2×#418C2211yescharacteristic
68C2×#416C2211yescharacteristic, complemented
69C2×#416C2211yescharacteristic, complemented
70C2×#407C2211yescharacteristic
71C22×C22⋊C8C2211yescharacteristic
72#2852—21no—
73#2847C2211yescharacteristic
74#2682—21no—
75#2673—21no—
76#2601—21no—
77#2598—21no—
78#2541C2211yescharacteristic
79#2500C2211yescharacteristic, complemented
80#2485C2211yescharacteristic, complemented
81#2476—21no—
82#2470—21no—
83#2456—21no—
84#2442C2211yescharacteristic, complemented
85#2441C2211yescharacteristic
86#2433—21no—
87#2433C2211yescharacteristic
88#2431C2211yescharacteristic
89#2428—21no—
90#2428C2211yescharacteristic
91#2426C2211yescharacteristic
92#2424—21no—
93#2424—21no—
94#2418—21no—
95#2416C2211yescharacteristic
96#2416C2211yescharacteristic, complemented
97#2414C2211yescharacteristic
98#2414C2211yescharacteristic
99#2410—21no—
100#2407C2211yescharacteristic
101#2363C2211yescharacteristic
102#2363C2211yescharacteristic
103#2361C2211yescharacteristic, complemented
104#2360C2211yescharacteristic
105#2358—21no—
106#2352C2211yescharacteristic
107D4×C4⋊C4C2211yescharacteristic, complemented
108#2347C2211yescharacteristic, complemented
109C4×#121—21no—
110C4×#120C2211yescharacteristic
111#2095C2211yescharacteristic, complemented
112#2092C2211yescharacteristic, complemented
113#2086C2211yescharacteristic, complemented
114#2085C2211yescharacteristic, complemented
115#2077C2211yescharacteristic, complemented
116#2071C2211yescharacteristic, complemented
117#2067C2211yescharacteristic, complemented
118#2066C2211yescharacteristic, complemented
119#2065C2211yescharacteristic, complemented
120#2065C2211yescharacteristic, complemented
121#2059C2211yescharacteristic, complemented
122#2054C2211yescharacteristic, complemented
123#2042C2211yescharacteristic, complemented
124#2041C2211yescharacteristic, complemented
125#2041C2211yescharacteristic, complemented
126#2041C2211yescharacteristic, complemented
127#2035C2211yescharacteristic, complemented
128#2034C2211yescharacteristic, complemented
129#2034C2211yescharacteristic, complemented
130#2033C2211yescharacteristic
131#2033C2211yescharacteristic
132#2033C2211yescharacteristic, complemented
133#2033C2211yescharacteristic, complemented
134#2033C2211yescharacteristic, complemented
135#2025C2211yescharacteristic, complemented
136#2012C2211yescharacteristic, complemented
137#2011C2211yescharacteristic, complemented
138#2000C2211yescharacteristic, complemented
139#1999C2211yescharacteristic
140#1999C2211yescharacteristic
141#1999C2211yescharacteristic, complemented
142#1999C2211yescharacteristic, complemented
143#1983C2211yescharacteristic, complemented
144#1982C2211yescharacteristic, complemented
145#1970C2211yescharacteristic, complemented
146#1968C2211yescharacteristic, complemented
147#1958C2211yescharacteristic, complemented
148#1957C2211yescharacteristic, complemented
149#1954C2211yescharacteristic, complemented
150#1947C2211yescharacteristic, complemented
151#1943C2211yescharacteristic, complemented
152#1941C2211yescharacteristic, complemented
153#1936C2211yescharacteristic, complemented
154#1934C2211yescharacteristic, complemented
155#1928C2211yescharacteristic, complemented
156#1926C2211yescharacteristic, complemented
157#1926C2211yescharacteristic, complemented
158#1925C2211yescharacteristic, complemented
159#1924C2211yescharacteristic, complemented
160#1923C2211yescharacteristic, complemented
161#1921C2211yescharacteristic, complemented
162#1919C2211yescharacteristic, complemented
163#1895C2211yescharacteristic
164#1895C2211yescharacteristic, complemented
165#1894C2211yescharacteristic
166#1893C2211yescharacteristic
167#1893C2211yescharacteristic
168#1879C2211yescharacteristic, complemented
169#1879C2211yescharacteristic, complemented
170#1875C2211yescharacteristic
171#1875C2211yescharacteristic
172#1875C2211yescharacteristic, complemented
173#1874C2211yescharacteristic
174#1874C2211yescharacteristic, complemented
175#1874C2211yescharacteristic, complemented
176#1874C2211yescharacteristic, complemented
177#1873C2211yescharacteristic
178#1873C2211yescharacteristic
179#1872C2211yescharacteristic, complemented
180#1872C2211yescharacteristic, complemented
181#1870C2211yescharacteristic
182#1870C2211yescharacteristic, complemented
183#1869C2211yescharacteristic, complemented
184#1865C2211yescharacteristic, complemented
185#1863C2211yescharacteristic, complemented
186#1862C2211yescharacteristic, complemented
187#1862C2211yescharacteristic, complemented
188#1854C2211yescharacteristic, complemented
189#1852C2211yescharacteristic
190#1852C2211yescharacteristic, complemented
191#1851C2211yescharacteristic
192#1850C2211yescharacteristic, complemented
193#1809C2211yescharacteristic, complemented
194#1804C2211yescharacteristic, complemented
195#1788C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1786C2211yescharacteristic
199C4×#107C2211yescharacteristic, complemented
200C4×#102C2211yescharacteristic, complemented
201#1753C2211yescharacteristic
202C8×C22⋊C4C2211yescharacteristic, complemented
203#1735C2211yescharacteristic, complemented
204#1735C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×D4—21no—
208C23×D4C2311yescharacteristic
209C24×C4C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×M16C2311yescharacteristic
215C22×M16C2311yescharacteristic
216C22×M16C2311yescharacteristic
217C23×C8C2311yescharacteristic
218C23×C8C2311yescharacteristic
219#553—24no—
220#553—42no—
221#550—24no—
222#550—42no—
223#546—24no—
224#546—42no—
225C2×#127—21no—
226C2×#127—21no—
227C2×#127C2311yescharacteristic
228C2×#127C2311yescharacteristic
229C2×#126—21no—
230C2×#125C2311yescharacteristic
231C2×#124C2311yescharacteristic
232#525—24no—
233#525—42no—
234C2×#123—21no—
235C2×#123—21no—
236C2×#123—21no—
237C2×C22⋊Q8C2311yescharacteristic
238C2×C22⋊Q8C2311yescharacteristic
239C2×#121—21no—
240C2×#121—21no—
241C2×#121—21no—
242C2×#121—21no—
243C2×#121—21no—
244C2×#121—21no—
245C2×#121—21no—
246C2×#121—21no—
247C2×#121—21no—
248C2×#121—24no—
249C2×#121—42no—
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×#120—21no—
263C2×#120—21no—
264C2×#120—21no—
265C2×#120—21no—
266C2×#120—21no—
267C2×#120D411yescharacteristic
268C2×C4×Q8C2311yescharacteristic
269C2×C4×D4—21no—
270C2×C4×D4—21no—
271C2×C4×D4—21no—
272C2×C4×D4—21no—
273C2×C4×D4—21no—
274C2×C4×D4—21no—
275C2×C4×D4C2311yescharacteristic
276C2×C4×D4C2311yescharacteristic
277C2×C4×D4C2311yescharacteristic
278C2×C4×D4C2311yescharacteristic
279C2×C4×D4C2311yescharacteristic
280C2×#117—21no—
281C2×#117—21no—
282C2×#117—24no—
283C2×#117—42no—
284C2×#117C2311yescharacteristic
285C2×#117C2311yescharacteristic
286C2×#117C2311yescharacteristic
287C2×#117C2311yescharacteristic
288C2×#117C2311yescharacteristic
289C22×C4⋊C4C2311yescharacteristic
290C22×C4⋊C4C2311yescharacteristic
291C22×C4⋊C4C2311yescharacteristic
292C22×C4⋊C4C2311yescharacteristic
293C22×C22⋊C4—21no—
294C22×C22⋊C4—21no—
295C22×C22⋊C4—21no—
296C22×C42—21no—
297#490—24no—
298#482—24no—
299#482—24no—
300#482—24no—
301#482D418yescomplemented
302#481—24no—
303#481—24no—
304#480—24no—
305#480—24no—
306#480—24no—
307#479—24no—
308#469—24no—
309#469—42no—
310#468—24no—
311#466—24no—
312#466—42no—
313#459—24no—
314#449—24no—
315#449—24no—
316#447—42no—
317#440—24no—
318#436—42no—
319#435—24no—
320#428—24no—
321#428—24no—
322C2×#107C2311yescharacteristic
323C2×#107C2311yescharacteristic
324C2×#107C2311yescharacteristic
325C2×#107C2311yescharacteristic
326C2×#107C2311yescharacteristic
327C2×#107C2311yescharacteristic
328C2×#107C2311yescharacteristic
329C2×#106C2311yescharacteristic
330C2×#106C2311yescharacteristic
331C2×#106C2311yescharacteristic
332C2×#106C2311yescharacteristic
333C2×#106C2311yescharacteristic
334C2×C4⋊C8C2311yescharacteristic
335C2×C4⋊C8C2311yescharacteristic
336C2×C4⋊C8C2311yescharacteristic
337#418—24no—
338#418—24no—
339#417—24no—
340#416—24no—
341#416—42no—
342C2×#103C2311yescharacteristic
343C2×#103C2311yescharacteristic
344C2×#103C2311yescharacteristic
345C2×#103C2311yescharacteristic
346C2×#103C2311yescharacteristic
347C2×#103C2311yescharacteristic
348C2×#103C2311yescharacteristic
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
366C2×#102C2311yescharacteristic
367C2×#102C2311yescharacteristic
368C2×#102C2311yescharacteristic
369C2×#102C2311yescharacteristic
370C2×#102C2311yescharacteristic
371C2×#102C2311yescharacteristic
372C2×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374#407—24no—
375C2×C22⋊C8—42no—
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×C22⋊C8C2311yescharacteristic
385C2×C22⋊C8C2311yescharacteristic
386C2×C22⋊C8C2311yescharacteristic
387C2×#97C2311yescharacteristic
388C2×C4×C8C2311yescharacteristic
389C2×C4×C8C2311yescharacteristic
390#400—21no—
391#399—21no—
392#398—21no—
393#397—21no—
394#396—21no—
395#396—21no—
396#396—21no—
397#396—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#394—21no—
407#394—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#391C2311yescharacteristic
419#390—21no—
420#390—21no—
421#390—21no—
422#390—21no—
423#390—21no—
424#390—21no—
425#390C2311yescharacteristic
426#390C2311yescharacteristic
427#390C2311yescharacteristic
428#390C2311yescharacteristic
429#390C2311yescharacteristic
430#389—21no—
431#389—21no—
432#389—21no—
433#389C2311yescharacteristic
434#389C2311yescharacteristic
435#389C2311yescharacteristic
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#388—21no—
447#388—21no—
448#388—21no—
449#388—21no—
450#388—21no—
451#387—21no—
452#387—21no—
453#387—21no—
454#387—21no—
455#386—21no—
456#386—21no—
457#386—21no—
458#386—21no—
459#386—21no—
460#386—21no—
461#386—21no—
462#386—21no—
463#386—21no—
464#386—21no—
465#386—21no—
466#386—21no—
467#386—21no—
468#386D411yescharacteristic
469#386D411yescharacteristic
470#386D411yescharacteristic
471#385—21no—
472#385—21no—
473#385—21no—
474#385—21no—
475#385—21no—
476#385—21no—
477#385D411yescharacteristic
478#385D411yescharacteristic
479#385D411yescharacteristic
480#384C2311yescharacteristic
481#383—21no—
482#382C2311yescharacteristic
483#380—21no—
484#380C2311yescharacteristic
485#380C2311yescharacteristic
486#380C2311yescharacteristic
487#380C2311yescharacteristic
488#380C2311yescharacteristic
489#380C2311yescharacteristic
490#379D411yescharacteristic
491C4×C4⋊C4—21no—
492C4×C4⋊C4C2311yescharacteristic
493C4×C4⋊C4C2311yescharacteristic
494C4×C4⋊C4C2311yescharacteristic
495C4×C22⋊C4—21no—
496C4×C22⋊C4—21no—
497C4×C22⋊C4—21no—
498C4×C22⋊C4—21no—
499C4×C22⋊C4C2311yescharacteristic
500C4×C22⋊C4C2311yescharacteristic
501C4×C22⋊C4C2311yescharacteristic
502#340C2311yescharacteristic
503#340C2311yescharacteristic
504#340C2311yescharacteristic
505#340C2311yescharacteristic
506#340C2311yescharacteristic
507#340C2311yescharacteristic
508#340C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#336C2311yescharacteristic
519#336C2311yescharacteristic
520#336C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524C25—21no—
525C25C2×D411yescharacteristic
526C2×#41—22no—
527C2×#41—22no—
528C2×#41—22no—
529C2×#41—22no—
530C2×#41—22no—
531C2×#41—41no—
532C2×#41—41no—
533C2×#41—41no—
534C2×#41—41no—
535C2×#41—41no—
536C2×#41—41no—
537C2×#41—41no—
538C22×Q8C2411yescharacteristic
539C22×D4—21no—
540C22×D4—22no—
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—21no—
555C22×D4—21no—
556C22×D4—21no—
557C22×D4—21no—
558C22×D4—21no—
559C22×D4—22no—
560C22×D4—22no—
561C22×D4—41no—
562C22×D4—41no—
563C22×D4—41no—
564C22×D4—44no—
565C22×D4—82no—
566C22×D4—82no—
567C22×D4C2×D411yescharacteristic
568C22×D4C2×D411yescharacteristic
569C22×D4C2×D411yescharacteristic
570C22×D4C2411yescharacteristic
571C22×D4C2411yescharacteristic
572C22×D4C2411yescharacteristic
573C22×D4C2411yescharacteristic
574C23×C4—22no—
575C23×C4—22no—
576C23×C4—22no—
577C23×C4—22no—
578C23×C4—21no—
579C23×C4—21no—
580C23×C4—21no—
581C23×C4—21no—
582C23×C4—21no—
583C23×C4—21no—
584C23×C4—21no—
585C23×C4—21no—
586C23×C4—41no—
587C23×C4—41no—
588C23×C4C2×D411yescharacteristic
589C23×C4C2×D411yescharacteristic
590C23×C4C2×D411yescharacteristic
591C23×C4C2411yescharacteristic
592C23×C4C2411yescharacteristic
593C23×C4C2411yescharacteristic
594C23×C4C2411yescharacteristic
595C2×SD16—22no—
596C2×SD16—22no—
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×M16—22no—
608C2×M16—22no—
609C2×M16—22no—
610C2×M16—22no—
611C2×M16—22no—
612C2×M16—41no—
613C2×M16—41no—
614C2×M16—41no—
615C2×M16—41no—
616C22×C8—22no—
617C22×C8—22no—
618C22×C8—41no—
619C22×C8—41no—
620C22×C8—41no—
621C22×C8—41no—
622C22×C8C2411yescharacteristic
623C22×C8C2411yescharacteristic
624C22×C8C2411yescharacteristic
625C22×C8C2411yescharacteristic
626C22×C8C2411yescharacteristic
627C22×C8C2411yescharacteristic
628C22×C8C2411yescharacteristic
629C22×C8C2411yescharacteristic
630#127—22no—
631#127—41no—
632#127—41no—
633#127—41no—
634#127—44no—
635#127—82no—
636#126—44no—
637#125—22no—
638#125—41no—
639#124—22no—
640#124—41no—
641#123—44no—
642#123—44no—
643#123—44no—
644C22⋊Q8—22no—
645C22⋊Q8—22no—
646C22⋊Q8—41no—
647C22⋊Q8#4114yes—
648#121—22no—
649#121—22no—
650#121—22no—
651#121—22no—
652#121—22no—
653#121—22no—
654#121—22no—
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—44no—
664#121—44no—
665#121—44no—
666#121—44no—
667#121—44no—
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—44no—
677#121—44no—
678#121—82no—
679#121—82no—
680#121C2×D414yes—
681#120—42no—
682#120—44no—
683#120—44no—
684#120—44no—
685#120—82no—
686#120—82no—
687C4×Q8—22no—
688C4×Q8—41no—
689C4×D4—22no—
690C4×D4—22no—
691C4×D4—22no—
692C4×D4—22no—
693C4×D4—22no—
694C4×D4—22no—
695C4×D4—44no—
696C4×D4—41no—
697C4×D4—41no—
698C4×D4—41no—
699C4×D4—41no—
700C4×D4—44no—
701C4×D4—44no—
702C4×D4—44no—
703C4×D4—82no—
704C4×D4—82no—
705#117—22no—
706#117—22no—
707#117—22no—
708#117—22no—
709#117—22no—
710#117—22no—
711#117—44no—
712#117—44no—
713#117—41no—
714#117—41no—
715#117—41no—
716#117C2×D414yes—
717C2×C4⋊C4—21no—
718C2×C4⋊C4—22no—
719C2×C4⋊C4—22no—
720C2×C4⋊C4—22no—
721C2×C4⋊C4—22no—
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⋊C4—41no—
742C2×C4⋊C4C2×D411yescharacteristic
743C2×C4⋊C4C2×D411yescharacteristic
744C2×C4⋊C4C2×D411yescharacteristic
745C2×C4⋊C4C2411yescharacteristic
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×C4⋊C4C2411yescharacteristic
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—44no—
796C2×C22⋊C4—44no—
797C2×C22⋊C4—44no—
798C2×C22⋊C4C2×D411yescharacteristic
799C2×C22⋊C4C2×D411yescharacteristic
800C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
811C2×C42—21no—
812C2×C42—21no—
813C2×C42—21no—
814C2×C42—21no—
815C2×C42—21no—
816C2×C42—21no—
817C2×C42—21no—
818C2×C42—21no—
819C2×C42—44no—
820C2×C42C2411yescharacteristic
821C2×C42C2411yescharacteristic
822C2×C42C2411yescharacteristic
823#107—22no—
824#107—22no—
825#107—22no—
826#107—22no—
827#107—22no—
828#107—41no—
829#107C2×D414yes—
830#106—22no—
831#106—22no—
832#106—22no—
833#106—41no—
834#106C2×D414yes—
835C4⋊C8—22no—
836C4⋊C8—41no—
837C4⋊C8—41no—
838#103—22no—
839#103—22no—
840#103—22no—
841#103—22no—
842#103—41no—
843#103—41no—
844#103—41no—
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—22no—
856#102—22no—
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#102C2×D414yes—
869#102C2×D414yes—
870C22⋊C8—22no—
871C22⋊C8—22no—
872C22⋊C8—22no—
873C22⋊C8—22no—
874C22⋊C8—22no—
875C22⋊C8—22no—
876C22⋊C8—41no—
877C22⋊C8—41no—
878C22⋊C8—41no—
879C22⋊C8—41no—
880C22⋊C8C2×D414yes—
881#97—22no—
882C4×C8—41no—
883C4×C8—41no—
884#95—21no—
885#95—21no—
886#95—21no—
887#95—21no—
888#95—21no—
889#95—21no—
890#95—21no—
891#95—21no—
892#95—21no—
893#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#95C2×D411yescharacteristic
904#95C2×D411yescharacteristic
905#95C2×D411yescharacteristic
906#95C2×D411yescharacteristic
907#95C2×D411yescharacteristic
908#95C2×D411yescharacteristic
909C24—21no—
910C24—22no—
911C24—22no—
912C24—22no—
913C24—21no—
914C24—21no—
915C24—21no—
916C24—41no—
917C24—41no—
918C24—41no—
919C24—41no—
920C24—42no—
921C24—42no—
922C24—42no—
923C24—42no—
924C24—81no—
925C24—81no—
926C24—81no—
927C24C22×D411yescharacteristic
928C24C22×D411yescharacteristic
929C24C22×D411yescharacteristic
930C24C22×D411yescharacteristic
931#41—44no—
932#41—44no—
933#41—44no—
934#41—82no—
935#41—82no—
936#41—82no—
937#41—82no—
938#41—82no—
939C2×Q8—21no—
940C2×Q8—21no—
941C2×Q8—21no—
942C2×Q8—21no—
943C2×Q8—21no—
944C2×Q8C2×#4112yes—
945C2×D4—22no—
946C2×D4—22no—
947C2×D4—24no—
948C2×D4—22no—
949C2×D4—22no—
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—44no—
974C2×D4—44no—
975C2×D4—41no—
976C2×D4—41no—
977C2×D4—41no—
978C2×D4—41no—
979C2×D4—41no—
980C2×D4—42no—
981C2×D4—42no—
982C2×D4—42no—
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—42no—
1001C2×D4—42no—
1002C2×D4—42no—
1003C2×D4—42no—
1004C2×D4—42no—
1005C2×D4—42no—
1006C2×D4—42no—
1007C2×D4—42no—
1008C2×D4—42no—
1009C2×D4—82no—
1010C2×D4—82no—
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—81no—
1022C2×D4—81no—
1023C2×D4—81no—
1024C2×D4—81no—
1025C2×D4—81no—
1026C2×D4—81no—
1027C2×D4—81no—
1028C2×D4—81no—
1029C2×D4—81no—
1030C2×D4—81no—
1031C2×D4—81no—
1032C2×D4—81no—
1033C2×D4—81no—
1034C2×D4—81no—
1035C2×D4—81no—
1036C2×D4—81no—
1037C2×D4—81no—
1038C2×D4—816no—
1039C2×D4C22×D412yes—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—21no—
1045C22×C4—21no—
1046C22×C4—21no—
1047C22×C4—21no—
1048C22×C4—22no—
1049C22×C4—22no—
1050C22×C4—21no—
1051C22×C4—21no—
1052C22×C4—21no—
1053C22×C4—21no—
1054C22×C4—21no—
1055C22×C4—22no—
1056C22×C4—22no—
1057C22×C4—22no—
1058C22×C4—22no—
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—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—41no—
1079C22×C4—41no—
1080C22×C4—41no—
1081C22×C4—44no—
1082C22×C4—44no—
1083C22×C4—44no—
1084C22×C4—44no—
1085C22×C4—42no—
1086C22×C4—42no—
1087C22×C4—42no—
1088C22×C4—42no—
1089C22×C4—42no—
1090C22×C4—42no—
1091C22×C4—42no—
1092C22×C4—42no—
1093C22×C4—42no—
1094C22×C4—42no—
1095C22×C4—42no—
1096C22×C4—42no—
1097C22×C4—42no—
1098C22×C4—81no—
1099C22×C4—81no—
1100C22×C4—81no—
1101C22×C4—81no—
1102C22×C4—81no—
1103C22×C4—81no—
1104C22×C4—81no—
1105C22×C4—81no—
1106C22×C4—81no—
1107C22×C4—81no—
1108C22×C4—81no—
1109C22×C4C22×D411yescharacteristic
1110C22×C4C22×D411yescharacteristic
1111C22×C4C22×D411yescharacteristic
1112C22×C4C22×D411yescharacteristic
1113C22×C4C22×D411yescharacteristic
1114C22×C4C22×D411yescharacteristic
1115C22×C4C22×D411yescharacteristic
1116C22×C4C22×D411yescharacteristic
1117C22×C4C22×D412yes—
1118C22×C4C22×D411yescharacteristic
1119C22×C4C22×D411yescharacteristic
1120C22×C4C2×#4112yes—
1121C22×C4H(5,𝔽2)12yes—
1122C22×C4H(5,𝔽2)12yes—
1123C22×C4C2511yescharacteristic
1124SD16—44no—
1125D8—82no—
1126D8—82no—
1127D8—82no—
1128M16—44no—
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—82no—
1154C2×C8—82no—
1155C2×C8C22×D412yes—
1156C2×C8C22×D412yes—
1157C4⋊C4—22no—
1158C4⋊C4—24no—
1159C4⋊C4—22no—
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—21no—
1175C4⋊C4—21no—
1176C4⋊C4—21no—
1177C4⋊C4—21no—
1178C4⋊C4—41no—
1179C4⋊C4—42no—
1180C4⋊C4—42no—
1181C4⋊C4—42no—
1182C4⋊C4—42no—
1183C4⋊C4—42no—
1184C4⋊C4—42no—
1185C4⋊C4—42no—
1186C4⋊C4—42no—
1187C4⋊C4—42no—
1188C4⋊C4—81no—
1189C4⋊C4—81no—
1190C4⋊C4—81no—
1191C4⋊C4—81no—
1192C4⋊C4—81no—
1193C4⋊C4—81no—
1194C4⋊C4—81no—
1195C4⋊C4C22×D412yes—
1196C4⋊C4C22×D412yes—
1197C4⋊C4C22×D412yes—
1198C4⋊C4C2×#4112yes—
1199C22⋊C4—24no—
1200C22⋊C4—22no—
1201C22⋊C4—24no—
1202C22⋊C4—22no—
1203C22⋊C4—22no—
1204C22⋊C4—24no—
1205C22⋊C4—22no—
1206C22⋊C4—22no—
1207C22⋊C4—22no—
1208C22⋊C4—22no—
1209C22⋊C4—41no—
1210C22⋊C4—41no—
1211C22⋊C4—41no—
1212C22⋊C4—41no—
1213C22⋊C4—41no—
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—42no—
1230C22⋊C4—42no—
1231C22⋊C4—42no—
1232C22⋊C4—42no—
1233C22⋊C4—42no—
1234C22⋊C4—42no—
1235C22⋊C4—42no—
1236C22⋊C4—42no—
1237C22⋊C4—42no—
1238C22⋊C4—42no—
1239C22⋊C4—81no—
1240C22⋊C4—81no—
1241C22⋊C4—81no—
1242C22⋊C4—81no—
1243C22⋊C4—81no—
1244C22⋊C4—81no—
1245C22⋊C4—81no—
1246C22⋊C4—81no—
1247C22⋊C4—81no—
1248C22⋊C4—81no—
1249C22⋊C4—81no—
1250C42—24no—
1251C42—21no—
1252C42—21no—
1253C42—21no—
1254C42—21no—
1255C42—21no—
1256C42—21no—
1257C42—42no—
1258C42—42no—
1259C42—42no—
1260C42—42no—
1261C42—42no—
1262C42—81no—
1263C42—81no—
1264C42—81no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—22no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—44no—
1292C23—44no—
1293C23—44no—
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—82no—
1322C23—82no—
1323C23—82no—
1324C23—84no—
1325C23—84no—
1326C23—82no—
1327C23—84no—
1328C23—84no—
1329C23—162no—
1330C23—162no—
1331C23—162no—
1332C23D4212yes—
1333C23#54612yes—
1334C23#57612yes—
1335C23C23×D411yescharacteristic
1336Q8—22no—
1337Q8—22no—
1338Q8—41no—
1339Q8—41no—
1340D4—22no—
1341D4—22no—
1342D4—44no—
1343D4—41no—
1344D4—41no—
1345D4—41no—
1346D4—41no—
1347D4—41no—
1348D4—41no—
1349D4—41no—
1350D4—41no—
1351D4—41no—
1352D4—41no—
1353D4—41no—
1354D4—41no—
1355D4—41no—
1356D4—41no—
1357D4—84no—
1358D4—82no—
1359D4—82no—
1360D4—84no—
1361D4—84no—
1362D4—84no—
1363D4—84no—
1364D4—84no—
1365D4—84no—
1366D4—84no—
1367D4—84no—
1368D4—84no—
1369D4—84no—
1370D4—84no—
1371D4—162no—
1372D4—162no—
1373D4—162no—
1374D4—162no—
1375D4—162no—
1376D4—162no—
1377D4—162no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—21no—
1402C2×C4—22no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—44no—
1419C2×C4—44no—
1420C2×C4—44no—
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—84no—
1461C2×C4—84no—
1462C2×C4—84no—
1463C2×C4—84no—
1464C2×C4—84no—
1465C2×C4—162no—
1466C2×C4—162no—
1467C2×C4—162no—
1468C2×C4D4212yes—
1469C2×C4#54612yes—
1470C2×C4#57512yes—
1471C2×C4C23×D411yescharacteristic
1472C2×C4C22×#4111yescharacteristic
1473C2×C4C2×H(5,𝔽2)11yescharacteristic
1474C2×C4C2×H(5,𝔽2)11yescharacteristic
1475C2×C4#58511yescharacteristic
1476C2×C4#58511yescharacteristic
1477C8—22no—
1478C8—22no—
1479C8—41no—
1480C8—41no—
1481C8—41no—
1482C8—41no—
1483C8—41no—
1484C8—41no—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—42no—
1510C22—41no—
1511C22—42no—
1512C22—41no—
1513C22—42no—
1514C22—41no—
1515C22—41no—
1516C22—88no—
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—
1543C22C2×D4211yescharacteristic
1544C22C2×#54611yescharacteristic
1545C22#348511yescharacteristic
1546C22C2×#57511yescharacteristic
1547C22C2×#57611yescharacteristic
1548C22#358411yescharacteristic
1549C22#358511yescharacteristic
1550C4—22no—
1551C4—22no—
1552C4—22no—
1553C4—41no—
1554C4—41no—
1555C4—42no—
1556C4—41no—
1557C4—41no—
1558C4—42no—
1559C4—41no—
1560C4—42no—
1561C4—42no—
1562C4—41no—
1563C4—41no—
1564C4—42no—
1565C4—81no—
1566C4—81no—
1567C4—81no—
1568C4—81no—
1569C4—81no—
1570C4—81no—
1571C4—81no—
1572C4D4×#4111yescharacteristic
1573C4#348811yescharacteristic
1574C4#351311yescharacteristic
1575C4#353411yescharacteristic
1576C2—42no—
1577C2—42no—
1578C2—42no—
1579C2—81no—
1580C2—82no—
1581C2—161no—
1582C2—161no—
1583C2—161no—
1584C2#5899411yescharacteristic
1585C2#6103811yescharacteristic
1586C2#6107211yescharacteristic
1587C2#6116011yescharacteristic
1588C2#6117111yescharacteristic
1589C2#6172711yescharacteristic
1590C2#6175111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#120 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3309C2semidirect
2. C2×#3094C2semidirect
3. #59003C2semidirect
4. #36438C2semidirect
5. #31126C2semidirect
6. #31026C2semidirect
7. #30719C2semidirect
8. #30647C2semidirect
9. #28337C2semidirect
10. #27279C2semidirect
11. #26926C2semidirect
12. #26640C2semidirect
13. #26362C2semidirect
14. #26230C2semidirect
15. #26147C2semidirect
16. #25534C2semidirect
17. #25249C2semidirect
18. #25209C2semidirect
19. #25097C2semidirect
20. #24877C2semidirect
21. #24792C2semidirect
22. #24484C2semidirect
23. #24450C2semidirect
24. #24388C2semidirect
25. #24378C2semidirect
26. #24034C2semidirect
27. #23041C2semidirect
28. #22923C2semidirect
29. #22848C2semidirect
30. #22427C2semidirect
31. #20908C2semidirect
32. C2×#553C22semidirect
39. C2×#490C22semidirect
49. C2×#480C22semidirect
50. C2×#479C22semidirect
52. C2×#469C22semidirect
56. C2×#459C22semidirect
57. C2×#449C22semidirect
58. C2×#449C22semidirect
60. C2×#440C22semidirect
62. C2×#435C22semidirect
65. C2×#417C22semidirect
68. C2×#416C22semidirect
69. C2×#416C22semidirect
79. #2500C22semidirect
80. #2485C22semidirect
84. #2442C22semidirect
96. #2416C22semidirect
103. #2361C22semidirect
107. D4×C4⋊C4C22semidirect
108. #2347C22semidirect
111. #2095C22semidirect
112. #2092C22semidirect
113. #2086C22semidirect
114. #2085C22semidirect
115. #2077C22semidirect
116. #2071C22semidirect
117. #2067C22semidirect
118. #2066C22semidirect
119. #2065C22semidirect
120. #2065C22semidirect
121. #2059C22semidirect
122. #2054C22semidirect
123. #2042C22semidirect
124. #2041C22semidirect
125. #2041C22semidirect
126. #2041C22semidirect
127. #2035C22semidirect
128. #2034C22semidirect
129. #2034C22semidirect
132. #2033C22semidirect
133. #2033C22semidirect
134. #2033C22semidirect
135. #2025C22semidirect
136. #2012C22semidirect
137. #2011C22semidirect
138. #2000C22semidirect
141. #1999C22semidirect
142. #1999C22semidirect
143. #1983C22semidirect
144. #1982C22semidirect
145. #1970C22semidirect
146. #1968C22semidirect
147. #1958C22semidirect
148. #1957C22semidirect
149. #1954C22semidirect
150. #1947C22semidirect
151. #1943C22semidirect
152. #1941C22semidirect
153. #1936C22semidirect
154. #1934C22semidirect
155. #1928C22semidirect
156. #1926C22semidirect
157. #1926C22semidirect
158. #1925C22semidirect
159. #1924C22semidirect
160. #1923C22semidirect
161. #1921C22semidirect
162. #1919C22semidirect
164. #1895C22semidirect
168. #1879C22semidirect
169. #1879C22semidirect
172. #1875C22semidirect
174. #1874C22semidirect
175. #1874C22semidirect
176. #1874C22semidirect
179. #1872C22semidirect
180. #1872C22semidirect
182. #1870C22semidirect
183. #1869C22semidirect
184. #1865C22semidirect
185. #1863C22semidirect
186. #1862C22semidirect
187. #1862C22semidirect
188. #1854C22semidirect
190. #1852C22semidirect
192. #1850C22semidirect
193. #1809C22semidirect
194. #1804C22semidirect
195. #1788C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
199. C4×#107C22semidirect
200. C4×#102C22semidirect
202. C8×C22⋊C4C22semidirect
203. #1735C22semidirect
204. #1735C22semidirect
301. #482D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33092
C2×#30942
#590032
#364382
#311262
#310262
#307192
#306472
#283372
#272792
#269262
#266402
#263622
#262302
#261472
#255342
#252492
#252092
#250972
#248772
#247922
#244842
#244502
#243882
#243782
#240342
#230412
#229232
#228482
#224272
#209082