Finite Group Databasebeta

← #7056239

Subgroups — #7056239

Order 512.

2250 conjugacy classes of subgroups.

The subgroup lattice has 1611 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3264C211yesmaximal, characteristic, complemented
2C2×#3260C211yesmaximal, characteristic, complemented
3#45187C211yesmaximal, characteristic, complemented
4#44872C211yesmaximal, characteristic, complemented
5#31179C211yesmaximal, characteristic, complemented
6#31172C211yesmaximal, characteristic, complemented
7#30936C211yesmaximal, characteristic, complemented
8#30923C211yesmaximal, characteristic, complemented
9#30761C211yesmaximal, characteristic, complemented
10#30752C211yesmaximal, characteristic, complemented
11#30472C211yesmaximal, characteristic, complemented
12#30471C211yesmaximal, characteristic, complemented
13#28566C211yesmaximal, characteristic, complemented
14#27249C211yesmaximal, characteristic, complemented
15#27240C211yesmaximal, characteristic, complemented
16#26906C211yesmaximal, characteristic, complemented
17#26905C211yesmaximal, characteristic, complemented
18#25788C211yesmaximal, characteristic, complemented
19#25380C211yesmaximal, characteristic, complemented
20#25378C211yesmaximal, characteristic, complemented
21#25101C211yesmaximal, characteristic, complemented
22#25093C211yesmaximal, characteristic, complemented
23#24450C211yesmaximal, characteristic, complemented
24#24448C211yesmaximal, characteristic, complemented
25#24370C211yesmaximal, characteristic, complemented
26#24367C211yesmaximal, characteristic, complemented
27#23942C211yesmaximal, characteristic, complemented
28#23939C211yesmaximal, characteristic, complemented
29#23540C211yesmaximal, characteristic, complemented
30#23135C211yesmaximal, characteristic, complemented
31#22070C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C23×D8C2211yescharacteristic
34C2×#546C2211yescharacteristic
35C2×D42C2211yescharacteristic
36C2×#541C2211yescharacteristic, complemented
37C2×#540C2211yescharacteristic
38#3264—28no—
39#3260—28no—
40C2×#496C2211yescharacteristic
41C2×#496C2211yescharacteristic
42C2×#496C2211yescharacteristic, complemented
43C2×#479C2211yescharacteristic, complemented
44C2×#479C2211yescharacteristic, complemented
45C2×#478C2211yescharacteristic, complemented
46C2×#478C2211yescharacteristic, complemented
47C2×#469C2211yescharacteristic
48C2×#468C2211yescharacteristic
49C2×#468C2211yescharacteristic, complemented
50C2×#465C2211yescharacteristic
51C2×#465C2211yescharacteristic, complemented
52C2×#460C2211yescharacteristic, complemented
53C2×#460C2211yescharacteristic, complemented
54C2×#460C2211yescharacteristic, complemented
55C2×#463C2211yescharacteristic
56C2×#463C2211yescharacteristic, complemented
57C2×#461C2211yescharacteristic, complemented
58C2×#461C2211yescharacteristic, complemented
59C2×#459C2211yescharacteristic
60C2×#449C2211yescharacteristic
61C2×#449C2211yescharacteristic, complemented
62C2×#450C2211yescharacteristic
63C2×#450C2211yescharacteristic
64C2×#450C2211yescharacteristic, complemented
65C2×#447C2211yescharacteristic
66C2×#447C2211yescharacteristic
67C2×#447C2211yescharacteristic, complemented
68C2×#442C2211yescharacteristic
69C2×#435C2211yescharacteristic
70C2×#424C2211yescharacteristic, complemented
71C2×#418C2211yescharacteristic
72C2×#418C2211yescharacteristic, complemented
73#2711—21no—
74#2703—21no—
75#2694—21no—
76#2685—21no—
77#2685—21no—
78#2678—21no—
79#2678—21no—
80#2668—21no—
81#2558—21no—
82#2545C2211yescharacteristic, complemented
83#2541C2211yescharacteristic, complemented
84#2539—21no—
85#2490—21no—
86#2490C2211yescharacteristic, complemented
87#2490C2211yescharacteristic, complemented
88#2480—21no—
89#2480—21no—
90#2464—21no—
91#2454C2211yescharacteristic, complemented
92#2454C2211yescharacteristic, complemented
93#2448C2211yescharacteristic, complemented
94#2445C2211yescharacteristic, complemented
95#2435C2211yescharacteristic, complemented
96#2433C2211yescharacteristic
97#2433C2211yescharacteristic, complemented
98#2432C2211yescharacteristic, complemented
99#2428C2211yescharacteristic, complemented
100#2426C2211yescharacteristic, complemented
101#2415C2211yescharacteristic
102#2414C2211yescharacteristic
103#2410—21no—
104#2408—21no—
105#2395C2211yescharacteristic
106#2367C2211yescharacteristic, complemented
107#2366C2211yescharacteristic, complemented
108#2363C2211yescharacteristic
109#2362C2211yescharacteristic, complemented
110#2341C2211yescharacteristic, complemented
111D4×C22⋊C4C2211yescharacteristic, complemented
112#2309C2211yescharacteristic
113#2309C2211yescharacteristic, complemented
114#2088C2211yescharacteristic, complemented
115#2077C2211yescharacteristic, complemented
116#2067C2211yescharacteristic, complemented
117#2067C2211yescharacteristic, complemented
118#2055C2211yescharacteristic, complemented
119#2055C2211yescharacteristic, complemented
120#2054C2211yescharacteristic
121#2054C2211yescharacteristic
122#2054C2211yescharacteristic
123#2054C2211yescharacteristic
124#2054C2211yescharacteristic, complemented
125#2054C2211yescharacteristic, complemented
126#2054C2211yescharacteristic, complemented
127#2054C2211yescharacteristic, complemented
128#2054C2211yescharacteristic, complemented
129#2042C2211yescharacteristic, complemented
130#2042C2211yescharacteristic, complemented
131#2041C2211yescharacteristic, complemented
132#2041C2211yescharacteristic, complemented
133#2033C2211yescharacteristic, complemented
134#2033C2211yescharacteristic, complemented
135#2025C2211yescharacteristic, complemented
136#2025C2211yescharacteristic, complemented
137#2025C2211yescharacteristic, complemented
138#2025C2211yescharacteristic, complemented
139#2014C2211yescharacteristic, complemented
140#2014C2211yescharacteristic, complemented
141#2013C2211yescharacteristic, complemented
142#2013C2211yescharacteristic, complemented
143#2012C2211yescharacteristic
144#2012C2211yescharacteristic, complemented
145#2012C2211yescharacteristic, complemented
146#2012C2211yescharacteristic, complemented
147#2011C2211yescharacteristic
148#2011C2211yescharacteristic, complemented
149#2011C2211yescharacteristic, complemented
150#2011C2211yescharacteristic, complemented
151#2000C2211yescharacteristic, complemented
152#2000C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1983C2211yescharacteristic, complemented
155#1982C2211yescharacteristic, complemented
156#1972C2211yescharacteristic
157#1972C2211yescharacteristic, complemented
158#1940C2211yescharacteristic, complemented
159#1940C2211yescharacteristic, complemented
160#1936C2211yescharacteristic, complemented
161#1936C2211yescharacteristic, complemented
162#1935C2211yescharacteristic, complemented
163#1935C2211yescharacteristic, complemented
164#1925C2211yescharacteristic, complemented
165#1925C2211yescharacteristic, complemented
166#1924C2211yescharacteristic, complemented
167#1924C2211yescharacteristic, complemented
168#1920C2211yescharacteristic, complemented
169#1919C2211yescharacteristic, complemented
170#1917C2211yescharacteristic, complemented
171#1917C2211yescharacteristic, complemented
172#1895C2211yescharacteristic, complemented
173#1894C2211yescharacteristic, complemented
174#1880C2211yescharacteristic, complemented
175#1880C2211yescharacteristic, complemented
176#1880C2211yescharacteristic, complemented
177#1880C2211yescharacteristic, complemented
178#1880C2211yescharacteristic, complemented
179#1880C2211yescharacteristic, complemented
180#1879C2211yescharacteristic, complemented
181#1879C2211yescharacteristic, complemented
182#1879C2211yescharacteristic, complemented
183#1879C2211yescharacteristic, complemented
184#1879C2211yescharacteristic, complemented
185#1879C2211yescharacteristic, complemented
186#1877C2211yescharacteristic, complemented
187#1877C2211yescharacteristic, complemented
188#1875C2211yescharacteristic
189#1875C2211yescharacteristic, complemented
190#1873C2211yescharacteristic, complemented
191#1873C2211yescharacteristic, complemented
192#1870C2211yescharacteristic
193#1862C2211yescharacteristic, complemented
194#1862C2211yescharacteristic, complemented
195#1851C2211yescharacteristic, complemented
196#1851C2211yescharacteristic, complemented
197#1851C2211yescharacteristic, complemented
198#1818C2211yescharacteristic, complemented
199#1788C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1763C2211yescharacteristic, complemented
202#1762C2211yescharacteristic, complemented
203#1752C2211yescharacteristic, complemented
204#1735C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C23×D4—21no—
207C23×D4C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C2×AGL(1,ℤ/8)—24no—
211C2×AGL(1,ℤ/8)—42no—
212C2×AGL(1,ℤ/8)—42no—
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×D8—24no—
222C22×D8—42no—
223C22×D8—42no—
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C22×D8C2311yescharacteristic
229C22×D8C2311yescharacteristic
230C22×D8C2311yescharacteristic
231C22×D8C2311yescharacteristic
232C22×M16C2311yescharacteristic
233C22×M16C2311yescharacteristic
234C23×C8C2311yescharacteristic
235#546—24no—
236#546—42no—
237D42—24no—
238D42—42no—
239#541—24no—
240#541—42no—
241#540—24no—
242#540—42no—
243C2×C4⋊Q8C2311yescharacteristic
244C2×#127C2311yescharacteristic
245C2×#127C2311yescharacteristic
246C2×#127C2311yescharacteristic
247C2×#127C2311yescharacteristic
248C2×#126—21no—
249C2×#126—21no—
250C2×#125—21no—
251C2×#125—21no—
252C2×#125C2311yescharacteristic
253C2×#125C2311yescharacteristic
254C2×#124C2311yescharacteristic
255C2×#124C2311yescharacteristic
256C2×#124C2311yescharacteristic
257C2×#123—21no—
258C2×#123—21no—
259C2×#123—21no—
260C2×#123—21no—
261C2×C22⋊Q8C2311yescharacteristic
262C2×C22⋊Q8C2311yescharacteristic
263C2×C22⋊Q8C2311yescharacteristic
264C2×#121—21no—
265C2×#121—21no—
266C2×#121—21no—
267C2×#121—21no—
268C2×#121—21no—
269C2×#121—21no—
270C2×#121—21no—
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#120—21no—
277C2×#120—21no—
278C2×#120—21no—
279C2×#120—21no—
280C2×#120—21no—
281C2×#120—21no—
282C2×#120—21no—
283C2×C4×Q8C2311yescharacteristic
284C2×C4×Q8C2311yescharacteristic
285C2×C4×Q8C2311yescharacteristic
286C2×C4×D4—21no—
287C2×C4×D4C2311yescharacteristic
288C2×C4×D4C2311yescharacteristic
289C2×C4×D4C2311yescharacteristic
290C2×C4×D4C2311yescharacteristic
291C2×C4×D4C2311yescharacteristic
292C2×C4×D4C2311yescharacteristic
293C2×#117C2311yescharacteristic
294C2×#117C2311yescharacteristic
295C2×#117C2311yescharacteristic
296C22×C22⋊C4—21no—
297C22×C22⋊C4—21no—
298#496—24no—
299#496—42no—
300#496—42no—
301#479—24no—
302#479—24no—
303#478—24no—
304#478—24no—
305#469—24no—
306#468—24no—
307#468—24no—
308#465—24no—
309#465D418yescomplemented
310#463—24no—
311#463—42no—
312#461—24no—
313#461—24no—
314#460—24no—
315#460—24no—
316#460—42no—
317#459—24no—
318#450—24no—
319#450—42no—
320#450—42no—
321#449—24no—
322#449—42no—
323#447—24no—
324#447—24no—
325#447—42no—
326#442—24no—
327#435—24no—
328C2×#107C2311yescharacteristic
329C2×#107C2311yescharacteristic
330C2×#106C2311yescharacteristic
331C2×#106C2311yescharacteristic
332#424—24no—
333C2×C4⋊C8C2311yescharacteristic
334C2×C4⋊C8C2311yescharacteristic
335C2×C4⋊C8C2311yescharacteristic
336C2×C4⋊C8C2311yescharacteristic
337C2×C4⋊C8C2311yescharacteristic
338C2×C4⋊C8C2311yescharacteristic
339C2×C4⋊C8C2311yescharacteristic
340#418—42no—
341#418—42no—
342C2×#103C2311yescharacteristic
343C2×#103C2311yescharacteristic
344C2×#103C2311yescharacteristic
345C2×#103C2311yescharacteristic
346C2×#103C2311yescharacteristic
347C2×#103C2311yescharacteristic
348C2×#103C2311yescharacteristic
349C2×#103C2311yescharacteristic
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
374C2×C22⋊C8C2311yescharacteristic
375C2×C22⋊C8C2311yescharacteristic
376C2×C22⋊C8C2311yescharacteristic
377C2×C22⋊C8C2311yescharacteristic
378C2×C22⋊C8C2311yescharacteristic
379C2×#97C2311yescharacteristic
380C2×#97C2311yescharacteristic
381C2×#97C2311yescharacteristic
382#400D411yescharacteristic
383#399—21no—
384#399—21no—
385#399—21no—
386#399D411yescharacteristic
387#398D411yescharacteristic
388#397—21no—
389#397—21no—
390#397—21no—
391#397—21no—
392#397D411yescharacteristic
393#397D411yescharacteristic
394#397D411yescharacteristic
395#396—21no—
396#396—21no—
397#396—21no—
398#396—21no—
399#396—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#394—21no—
409#394—21no—
410#394—21no—
411#394—21no—
412#394D411yescharacteristic
413#394D411yescharacteristic
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#391C2311yescharacteristic
423#391C2311yescharacteristic
424#390—21no—
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#390—21no—
436#390C2311yescharacteristic
437#390C2311yescharacteristic
438#390C2311yescharacteristic
439#390C2311yescharacteristic
440#390C2311yescharacteristic
441#390C2311yescharacteristic
442#390C2311yescharacteristic
443#390C2311yescharacteristic
444#390C2311yescharacteristic
445#390C2311yescharacteristic
446#390C2311yescharacteristic
447#390C2311yescharacteristic
448#390C2311yescharacteristic
449#390C2311yescharacteristic
450#389—21no—
451#389C2311yescharacteristic
452#389C2311yescharacteristic
453#389C2311yescharacteristic
454#389C2311yescharacteristic
455#388—21no—
456#388—21no—
457#388—21no—
458#388—21no—
459#388—21no—
460#388—21no—
461#388—21no—
462#388—21no—
463#388—21no—
464#388—21no—
465#388—21no—
466#388—21no—
467#388—21no—
468#388—21no—
469#387—21no—
470#386—21no—
471#386—21no—
472#386—21no—
473#386—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#385—21no—
478#385—21no—
479#385—21no—
480#385—21no—
481#385—21no—
482#380—21no—
483#380—21no—
484#380—21no—
485#380C2311yescharacteristic
486#380C2311yescharacteristic
487#379—21no—
488#379—21no—
489#379—21no—
490#379—21no—
491#379—21no—
492#379—21no—
493#379—21no—
494C4×C4⋊C4—21no—
495C4×C4⋊C4C2311yescharacteristic
496C4×C4⋊C4C2311yescharacteristic
497C4×C4⋊C4C2311yescharacteristic
498C4×C4⋊C4C2311yescharacteristic
499C4×C22⋊C4—21no—
500C4×C22⋊C4—21no—
501C4×C22⋊C4—21no—
502C4×C22⋊C4C2311yescharacteristic
503C4×C22⋊C4C2311yescharacteristic
504C4×C22⋊C4C2311yescharacteristic
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#336C2311yescharacteristic
518#336C2311yescharacteristic
519#336C2311yescharacteristic
520#336C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527C25—21no—
528C25—21no—
529C25—21no—
530C2×#41—22no—
531C2×#41—22no—
532C2×#41—41no—
533C2×#41—41no—
534C2×#41—41no—
535C2×#41—41no—
536C22×Q8C2411yescharacteristic
537C22×Q8C2411yescharacteristic
538C22×D4—21no—
539C22×D4—22no—
540C22×D4—22no—
541C22×D4—22no—
542C22×D4—22no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—22no—
549C22×D4—22no—
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—21no—
560C22×D4—21no—
561C22×D4—22no—
562C22×D4—22no—
563C22×D4—41no—
564C22×D4—41no—
565C22×D4—41no—
566C22×D4—41no—
567C22×D4—41no—
568C22×D4—41no—
569C22×D4—41no—
570C22×D4—41no—
571C22×D4—41no—
572C22×D4—41no—
573C22×D4—44no—
574C22×D4—82no—
575C22×D4—82no—
576C22×D4C2×D411yescharacteristic
577C22×D4C2411yescharacteristic
578C22×D4C2411yescharacteristic
579C22×D4C2411yescharacteristic
580C22×D4C2411yescharacteristic
581C22×D4C2411yescharacteristic
582C22×D4C2411yescharacteristic
583C23×C4—21no—
584C23×C4—21no—
585C23×C4—21no—
586C23×C4—21no—
587C23×C4—21no—
588C23×C4—21no—
589C23×C4C2411yescharacteristic
590C23×C4C2411yescharacteristic
591AGL(1,ℤ/8)—416no—
592C2×SD16—22no—
593C2×SD16—22no—
594C2×SD16—22no—
595C2×SD16—22no—
596C2×SD16—22no—
597C2×SD16—22no—
598C2×SD16—22no—
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×SD16—41no—
608C2×SD16—41no—
609C2×SD16—41no—
610C2×SD16—41no—
611C2×SD16—41no—
612C2×SD16—41no—
613C2×SD16—41no—
614C2×SD16—41no—
615C2×SD16C2×D414yes—
616C2×D8—22no—
617C2×D8—22no—
618C2×D8—22no—
619C2×D8—22no—
620C2×D8—22no—
621C2×D8—22no—
622C2×D8—22no—
623C2×D8—22no—
624C2×D8—22no—
625C2×D8—22no—
626C2×D8—22no—
627C2×D8—22no—
628C2×D8—41no—
629C2×D8—41no—
630C2×D8—41no—
631C2×D8—41no—
632C2×D8—41no—
633C2×D8—41no—
634C2×D8—41no—
635C2×D8—41no—
636C2×D8—41no—
637C2×D8—41no—
638C2×D8—41no—
639C2×D8—41no—
640C2×D8—416no—
641C2×M16—22no—
642C2×M16—22no—
643C2×M16—41no—
644C2×M16—41no—
645C2×M16—41no—
646C2×M16—41no—
647C22×C8—41no—
648C22×C8—41no—
649C22×C8C2×D414yes—
650C22×C8C2411yescharacteristic
651C22×C8C2411yescharacteristic
652C22×C8C2411yescharacteristic
653C22×C8C2411yescharacteristic
654C22×C8C2411yescharacteristic
655C22×C8C2411yescharacteristic
656C22×C8C2411yescharacteristic
657C22×C8C2411yescharacteristic
658C4⋊Q8—22no—
659C4⋊Q8—41no—
660#127—22no—
661#127—22no—
662#127—22no—
663#127—41no—
664#127—41no—
665#127—41no—
666#127—41no—
667#127—41no—
668#126—44no—
669#126—44no—
670#125—22no—
671#125—22no—
672#125—41no—
673#125—41no—
674#125—44no—
675#125—44no—
676#124—22no—
677#124—22no—
678#124—41no—
679#124—41no—
680#124—41no—
681#124—41no—
682#123—44no—
683#123—44no—
684#123—44no—
685#123—82no—
686C22⋊Q8—22no—
687C22⋊Q8—22no—
688C22⋊Q8—22no—
689C22⋊Q8—41no—
690C22⋊Q8—41no—
691C22⋊Q8C2×D414yes—
692#121—22no—
693#121—22no—
694#121—22no—
695#121—22no—
696#121—22no—
697#121—44no—
698#121—44no—
699#121—44no—
700#121—44no—
701#121—41no—
702#121—41no—
703#121—41no—
704#121—41no—
705#121—82no—
706#121—82no—
707#121—82no—
708#121C2×D414yes—
709#120—44no—
710#120—44no—
711#120—44no—
712#120—82no—
713#120—82no—
714#120—82no—
715#120—82no—
716C4×Q8—22no—
717C4×Q8—22no—
718C4×Q8—41no—
719C4×Q8—41no—
720C4×Q8—41no—
721C4×Q8—41no—
722C4×D4—22no—
723C4×D4—22no—
724C4×D4—22no—
725C4×D4—22no—
726C4×D4—22no—
727C4×D4—22no—
728C4×D4—41no—
729C4×D4—41no—
730C4×D4—41no—
731C4×D4—41no—
732C4×D4—41no—
733C4×D4—41no—
734C4×D4—82no—
735#117—22no—
736#117—22no—
737#117—41no—
738#117—41no—
739#117—41no—
740#117—41no—
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—21no—
749C2×C4⋊C4—21no—
750C2×C4⋊C4—21no—
751C2×C4⋊C4—21no—
752C2×C4⋊C4—21no—
753C2×C4⋊C4—21no—
754C2×C4⋊C4—21no—
755C2×C4⋊C4—21no—
756C2×C4⋊C4—21no—
757C2×C4⋊C4C2×D411yescharacteristic
758C2×C4⋊C4C2×D411yescharacteristic
759C2×C4⋊C4C2×D411yescharacteristic
760C2×C4⋊C4C2×D411yescharacteristic
761C2×C4⋊C4C2×D411yescharacteristic
762C2×C4⋊C4C2×D411yescharacteristic
763C2×C4⋊C4C2×D411yescharacteristic
764C2×C4⋊C4C2411yescharacteristic
765C2×C4⋊C4C2411yescharacteristic
766C2×C4⋊C4C2411yescharacteristic
767C2×C4⋊C4C2411yescharacteristic
768C2×C4⋊C4C2411yescharacteristic
769C2×C4⋊C4C2411yescharacteristic
770C2×C4⋊C4C2411yescharacteristic
771C2×C4⋊C4C2411yescharacteristic
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⋊C4—21no—
804C2×C22⋊C4—21no—
805C2×C22⋊C4—21no—
806C2×C22⋊C4—21no—
807C2×C22⋊C4—21no—
808C2×C22⋊C4—21no—
809C2×C22⋊C4—21no—
810C2×C22⋊C4—21no—
811C2×C22⋊C4—21no—
812C2×C22⋊C4—21no—
813C2×C22⋊C4—21no—
814C2×C22⋊C4—21no—
815C2×C22⋊C4—21no—
816C2×C22⋊C4—21no—
817C2×C22⋊C4—21no—
818C2×C22⋊C4—21no—
819C2×C22⋊C4—21no—
820C2×C22⋊C4—21no—
821C2×C22⋊C4—21no—
822C2×C22⋊C4—21no—
823C2×C22⋊C4—44no—
824C2×C22⋊C4—82no—
825C2×C22⋊C4C2×D411yescharacteristic
826C2×C22⋊C4C2×D411yescharacteristic
827C2×C22⋊C4C2×D411yescharacteristic
828C2×C22⋊C4C2×D411yescharacteristic
829C2×C22⋊C4C2×D411yescharacteristic
830C2×C22⋊C4C2×D411yescharacteristic
831C2×C22⋊C4C2×D411yescharacteristic
832C2×C22⋊C4C2×D411yescharacteristic
833C2×C22⋊C4C2×D411yescharacteristic
834C2×C22⋊C4C2×D411yescharacteristic
835C2×C42—21no—
836C2×C42—21no—
837C2×C42—21no—
838C2×C42—21no—
839C2×C42—21no—
840C2×C42—21no—
841C2×C42—21no—
842C2×C42C2411yescharacteristic
843C2×C42C2411yescharacteristic
844C2×C42C2411yescharacteristic
845C2×C42C2411yescharacteristic
846C2×C42C2411yescharacteristic
847#107—22no—
848#107—22no—
849#106—22no—
850#106C2×D414yes—
851C4⋊C8—22no—
852C4⋊C8—22no—
853C4⋊C8—22no—
854C4⋊C8—22no—
855C4⋊C8—22no—
856C4⋊C8—41no—
857C4⋊C8—41no—
858#103—22no—
859#103—22no—
860#103—22no—
861#103—41no—
862#103—41no—
863#103—41no—
864#103—41no—
865#103C2×D414yes—
866#102—22no—
867#102—22no—
868#102—22no—
869#102—22no—
870#102—22no—
871#102—22no—
872#102—22no—
873#102—22no—
874#102—22no—
875#102—22no—
876#102—22no—
877#102—41no—
878#102—41no—
879#102—41no—
880#102—41no—
881#102—41no—
882#102—41no—
883#102—41no—
884#102—41no—
885#102—41no—
886#102—41no—
887#102—41no—
888#102—41no—
889#102C2×D414yes—
890C22⋊C8—22no—
891C22⋊C8—22no—
892C22⋊C8—22no—
893C22⋊C8—41no—
894C22⋊C8—41no—
895#97—22no—
896#97—41no—
897#97—41no—
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—
910#95C2×D411yescharacteristic
911#95C2×D411yescharacteristic
912#95C2×D411yescharacteristic
913#95C2×D411yescharacteristic
914#95C2×D411yescharacteristic
915#95C2×D411yescharacteristic
916#95C2×D411yescharacteristic
917#95C2×D411yescharacteristic
918#95C2×D411yescharacteristic
919#95C2×D411yescharacteristic
920C24—21no—
921C24—21no—
922C24—21no—
923C24—21no—
924C24—21no—
925C24—21no—
926C24—42no—
927C24—42no—
928C24—42no—
929C24—42no—
930C24—42no—
931C24—42no—
932C24—42no—
933C24—81no—
934C24—81no—
935C24—81no—
936C24—81no—
937C24—81no—
938C24—81no—
939C24—81no—
940C24—81no—
941C24—81no—
942C24—81no—
943C24—81no—
944C24—81no—
945C24—81no—
946C24—81no—
947C24C22×D411yescharacteristic
948C24C22×D411yescharacteristic
949#41—44no—
950#41—82no—
951#41—82no—
952#41—82no—
953C2×Q8—21no—
954C2×Q8—21no—
955C2×Q8—21no—
956C2×Q8—21no—
957C2×Q8—21no—
958C2×Q8—21no—
959C2×Q8—21no—
960C2×Q8—21no—
961C2×Q8—21no—
962C2×Q8—21no—
963C2×Q8—21no—
964C2×Q8C22×D412yes—
965C2×D4—22no—
966C2×D4—24no—
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—21no—
988C2×D4—21no—
989C2×D4—21no—
990C2×D4—21no—
991C2×D4—21no—
992C2×D4—21no—
993C2×D4—21no—
994C2×D4—21no—
995C2×D4—21no—
996C2×D4—21no—
997C2×D4—21no—
998C2×D4—21no—
999C2×D4—21no—
1000C2×D4—44no—
1001C2×D4—44no—
1002C2×D4—44no—
1003C2×D4—44no—
1004C2×D4—41no—
1005C2×D4—41no—
1006C2×D4—42no—
1007C2×D4—42no—
1008C2×D4—42no—
1009C2×D4—42no—
1010C2×D4—42no—
1011C2×D4—42no—
1012C2×D4—42no—
1013C2×D4—42no—
1014C2×D4—42no—
1015C2×D4—42no—
1016C2×D4—42no—
1017C2×D4—42no—
1018C2×D4—42no—
1019C2×D4—42no—
1020C2×D4—42no—
1021C2×D4—42no—
1022C2×D4—44no—
1023C2×D4—42no—
1024C2×D4—42no—
1025C2×D4—42no—
1026C2×D4—42no—
1027C2×D4—42no—
1028C2×D4—42no—
1029C2×D4—82no—
1030C2×D4—82no—
1031C2×D4—82no—
1032C2×D4—82no—
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—82no—
1052C2×D4—82no—
1053C2×D4—82no—
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—81no—
1063C2×D4—81no—
1064C2×D4—816no—
1065C2×D4C22×D412yes—
1066C2×D4H(5,𝔽2)12yes—
1067C2×D4H(5,𝔽2)12yes—
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—42no—
1089C22×C4—42no—
1090C22×C4—42no—
1091C22×C4—42no—
1092C22×C4—42no—
1093C22×C4—42no—
1094C22×C4—42no—
1095C22×C4—42no—
1096C22×C4—81no—
1097C22×C4—81no—
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×C4C22×D411yescharacteristic
1107C22×C4C22×D411yescharacteristic
1108C22×C4C22×D411yescharacteristic
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×D411yescharacteristic
1118C22×C4C22×D412yes—
1119C22×C4H(5,𝔽2)12yes—
1120C22×C4C2511yescharacteristic
1121SD16—44no—
1122SD16—44no—
1123SD16—82no—
1124SD16—82no—
1125SD16—82no—
1126SD16—82no—
1127SD16—82no—
1128SD16—82no—
1129D8—28no—
1130D8—44no—
1131D8—44no—
1132D8—44no—
1133D8—44no—
1134D8—82no—
1135D8—82no—
1136D8—82no—
1137M16—44no—
1138M16—82no—
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—21no—
1155C2×C8—21no—
1156C2×C8—21no—
1157C2×C8—21no—
1158C2×C8—21no—
1159C2×C8—21no—
1160C2×C8—21no—
1161C2×C8—44no—
1162C2×C8C22×D412yes—
1163C2×C8C22×D412yes—
1164C4⋊C4—24no—
1165C4⋊C4—22no—
1166C4⋊C4—22no—
1167C4⋊C4—22no—
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—21no—
1179C4⋊C4—21no—
1180C4⋊C4—21no—
1181C4⋊C4—21no—
1182C4⋊C4—41no—
1183C4⋊C4—41no—
1184C4⋊C4—41no—
1185C4⋊C4—41no—
1186C4⋊C4—42no—
1187C4⋊C4—42no—
1188C4⋊C4—42no—
1189C4⋊C4—42no—
1190C4⋊C4—42no—
1191C4⋊C4—42no—
1192C4⋊C4—42no—
1193C4⋊C4—42no—
1194C4⋊C4—42no—
1195C4⋊C4—81no—
1196C4⋊C4—81no—
1197C4⋊C4—81no—
1198C4⋊C4—81no—
1199C4⋊C4—81no—
1200C4⋊C4—81no—
1201C4⋊C4C22×D412yes—
1202C4⋊C4C22×D412yes—
1203C22⋊C4—24no—
1204C22⋊C4—22no—
1205C22⋊C4—22no—
1206C22⋊C4—22no—
1207C22⋊C4—24no—
1208C22⋊C4—22no—
1209C22⋊C4—41no—
1210C22⋊C4—41no—
1211C22⋊C4—41no—
1212C22⋊C4—41no—
1213C22⋊C4—41no—
1214C22⋊C4—41no—
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—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—
1246C22⋊C4—81no—
1247C22⋊C4—81no—
1248C22⋊C4—81no—
1249C22⋊C4—81no—
1250C22⋊C4—81no—
1251C22⋊C4—81no—
1252C22⋊C4—81no—
1253C22⋊C4—81no—
1254C22⋊C4—81no—
1255C22⋊C4—81no—
1256C22⋊C4—81no—
1257C22⋊C4—81no—
1258C22⋊C4—81no—
1259C22⋊C4—81no—
1260C22⋊C4—81no—
1261C22⋊C4—81no—
1262C22⋊C4—81no—
1263C22⋊C4—81no—
1264C42—21no—
1265C42—21no—
1266C42—21no—
1267C42—21no—
1268C42—21no—
1269C42—21no—
1270C42—21no—
1271C42—21no—
1272C42—21no—
1273C42—21no—
1274C42—42no—
1275C42—42no—
1276C42—81no—
1277C42—81no—
1278C42—81no—
1279C42—81no—
1280C42—81no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—22no—
1292C23—21no—
1293C23—22no—
1294C23—21no—
1295C23—21no—
1296C23—22no—
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—41no—
1322C23—41no—
1323C23—41no—
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—84no—
1337C23—84no—
1338C23—84no—
1339C23—84no—
1340C23—84no—
1341C23—84no—
1342C23—84no—
1343C23—162no—
1344C23—162no—
1345C23—162no—
1346C23—162no—
1347C23—162no—
1348C23—162no—
1349C23—162no—
1350C23—162no—
1351C23—162no—
1352C23—162no—
1353C23—162no—
1354C23—162no—
1355C23—162no—
1356C23—162no—
1357C23D4212yes—
1358C23C23×D411yescharacteristic
1359Q8—22no—
1360Q8—22no—
1361Q8—41no—
1362Q8—41no—
1363Q8—41no—
1364Q8—41no—
1365Q8—41no—
1366Q8—41no—
1367D4—22no—
1368D4—22no—
1369D4—22no—
1370D4—22no—
1371D4—22no—
1372D4—22no—
1373D4—44no—
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—41no—
1391D4—41no—
1392D4—84no—
1393D4—84no—
1394D4—84no—
1395D4—84no—
1396D4—84no—
1397D4—84no—
1398D4—84no—
1399D4—84no—
1400D4—162no—
1401D4—162no—
1402D4—162no—
1403D4—162no—
1404D4—162no—
1405D4—162no—
1406D4—162no—
1407D4—162no—
1408D4—162no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—41no—
1455C2×C4—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—41no—
1466C2×C4—41no—
1467C2×C4—41no—
1468C2×C4—41no—
1469C2×C4—41no—
1470C2×C4—41no—
1471C2×C4—41no—
1472C2×C4—41no—
1473C2×C4—41no—
1474C2×C4—41no—
1475C2×C4—41no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—41no—
1479C2×C4—41no—
1480C2×C4—41no—
1481C2×C4—41no—
1482C2×C4—84no—
1483C2×C4—84no—
1484C2×C4—162no—
1485C2×C4—162no—
1486C2×C4—162no—
1487C2×C4—162no—
1488C2×C4D4212yes—
1489C2×C4C23×D411yescharacteristic
1490C2×C4C2×H(5,𝔽2)11yescharacteristic
1491C2×C4C2×H(5,𝔽2)11yescharacteristic
1492C2×C4C2×H(5,𝔽2)11yescharacteristic
1493C2×C4#58511yescharacteristic
1494C2×C4#58511yescharacteristic
1495C8—22no—
1496C8—22no—
1497C8—41no—
1498C8—41no—
1499C8—41no—
1500C8—41no—
1501C8—41no—
1502C8—41no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—42no—
1512C22—42no—
1513C22—42no—
1514C22—42no—
1515C22—42no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—42no—
1521C22—42no—
1522C22—41no—
1523C22—42no—
1524C22—42no—
1525C22—41no—
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—81no—
1543C22—81no—
1544C22—81no—
1545C22—81no—
1546C22—81no—
1547C22—81no—
1548C22—81no—
1549C22—81no—
1550C22—81no—
1551C22—81no—
1552C22—81no—
1553C22—81no—
1554C22—81no—
1555C22—81no—
1556C22—81no—
1557C22—81no—
1558C22—81no—
1559C22—168no—
1560C22—168no—
1561C22—168no—
1562C22C2×D4211yescharacteristic
1563C22#348811yescharacteristic
1564C22#348811yescharacteristic
1565C22#358511yescharacteristic
1566C22#358511yescharacteristic
1567C22#358511yescharacteristic
1568C22#358511yescharacteristic
1569C4—22no—
1570C4—41no—
1571C4—42no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—42no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—42no—
1584C4—81no—
1585C4—81no—
1586C4—81no—
1587C4—81no—
1588C4—81no—
1589C4—81no—
1590C4—81no—
1591C4#348411yescharacteristic
1592C4#350011yescharacteristic
1593C4#353411yescharacteristic
1594C4#353411yescharacteristic
1595C2—42no—
1596C2—81no—
1597C2—82no—
1598C2—82no—
1599C2—82no—
1600C2—161no—
1601C2—161no—
1602C2—161no—
1603C2#4388911yescharacteristic
1604C2#6105911yescharacteristic
1605C2#6108211yescharacteristic
1606C2#6207511yescharacteristic
1607C2#6207511yescharacteristic
1608C2#6207911yescharacteristic
1609C2#6207911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2395 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3264C2semidirect
2. C2×#3260C2semidirect
3. #45187C2semidirect
4. #44872C2semidirect
5. #31179C2semidirect
6. #31172C2semidirect
7. #30936C2semidirect
8. #30923C2semidirect
9. #30761C2semidirect
10. #30752C2semidirect
11. #30472C2semidirect
12. #30471C2semidirect
13. #28566C2semidirect
14. #27249C2semidirect
15. #27240C2semidirect
16. #26906C2semidirect
17. #26905C2semidirect
18. #25788C2semidirect
19. #25380C2semidirect
20. #25378C2semidirect
21. #25101C2semidirect
22. #25093C2semidirect
23. #24450C2semidirect
24. #24448C2semidirect
25. #24370C2semidirect
26. #24367C2semidirect
27. #23942C2semidirect
28. #23939C2semidirect
29. #23540C2semidirect
30. #23135C2semidirect
31. #22070C2semidirect
36. C2×#541C22semidirect
42. C2×#496C22semidirect
43. C2×#479C22semidirect
44. C2×#479C22semidirect
45. C2×#478C22semidirect
46. C2×#478C22semidirect
49. C2×#468C22semidirect
51. C2×#465C22semidirect
52. C2×#460C22semidirect
53. C2×#460C22semidirect
54. C2×#460C22semidirect
56. C2×#463C22semidirect
57. C2×#461C22semidirect
58. C2×#461C22semidirect
61. C2×#449C22semidirect
64. C2×#450C22semidirect
67. C2×#447C22semidirect
70. C2×#424C22semidirect
72. C2×#418C22semidirect
82. #2545C22semidirect
83. #2541C22semidirect
86. #2490C22semidirect
87. #2490C22semidirect
91. #2454C22semidirect
92. #2454C22semidirect
93. #2448C22semidirect
94. #2445C22semidirect
95. #2435C22semidirect
97. #2433C22semidirect
98. #2432C22semidirect
99. #2428C22semidirect
100. #2426C22semidirect
106. #2367C22semidirect
107. #2366C22semidirect
109. #2362C22semidirect
110. #2341C22semidirect
111. D4×C22⋊C4C22semidirect
113. #2309C22semidirect
114. #2088C22semidirect
115. #2077C22semidirect
116. #2067C22semidirect
117. #2067C22semidirect
118. #2055C22semidirect
119. #2055C22semidirect
124. #2054C22semidirect
125. #2054C22semidirect
126. #2054C22semidirect
127. #2054C22semidirect
128. #2054C22semidirect
129. #2042C22semidirect
130. #2042C22semidirect
131. #2041C22semidirect
132. #2041C22semidirect
133. #2033C22semidirect
134. #2033C22semidirect
135. #2025C22semidirect
136. #2025C22semidirect
137. #2025C22semidirect
138. #2025C22semidirect
139. #2014C22semidirect
140. #2014C22semidirect
141. #2013C22semidirect
142. #2013C22semidirect
144. #2012C22semidirect
145. #2012C22semidirect
146. #2012C22semidirect
148. #2011C22semidirect
149. #2011C22semidirect
150. #2011C22semidirect
151. #2000C22semidirect
152. #2000C22semidirect
153. #1999C22semidirect
154. #1983C22semidirect
155. #1982C22semidirect
157. #1972C22semidirect
158. #1940C22semidirect
159. #1940C22semidirect
160. #1936C22semidirect
161. #1936C22semidirect
162. #1935C22semidirect
163. #1935C22semidirect
164. #1925C22semidirect
165. #1925C22semidirect
166. #1924C22semidirect
167. #1924C22semidirect
168. #1920C22semidirect
169. #1919C22semidirect
170. #1917C22semidirect
171. #1917C22semidirect
172. #1895C22semidirect
173. #1894C22semidirect
174. #1880C22semidirect
175. #1880C22semidirect
176. #1880C22semidirect
177. #1880C22semidirect
178. #1880C22semidirect
179. #1880C22semidirect
180. #1879C22semidirect
181. #1879C22semidirect
182. #1879C22semidirect
183. #1879C22semidirect
184. #1879C22semidirect
185. #1879C22semidirect
186. #1877C22semidirect
187. #1877C22semidirect
189. #1875C22semidirect
190. #1873C22semidirect
191. #1873C22semidirect
193. #1862C22semidirect
194. #1862C22semidirect
195. #1851C22semidirect
196. #1851C22semidirect
197. #1851C22semidirect
198. #1818C22semidirect
199. #1788C22semidirect
200. #1786C22semidirect
201. #1763C22semidirect
202. #1762C22semidirect
203. #1752C22semidirect
204. #1735C22semidirect
309. #465D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32642
C2×#32602
#451872
#448722
#311792
#311722
#309362
#309232
#307612
#307522
#304722
#304712
#285662
#272492
#272402
#269062
#269052
#257882
#253802
#253782
#251012
#250932
#244502
#244482
#243702
#243672
#239422
#239392
#235402
#231352
#220702