Finite Group Databasebeta

← #7516632

Subgroups — #7516632

Order 512.

2280 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3274C211yesmaximal, characteristic, complemented
2C2×#3119C211yesmaximal, characteristic, complemented
3#44872C211yesmaximal, characteristic, complemented
4#36076C211yesmaximal, characteristic, complemented
5#31172C211yesmaximal, characteristic, complemented
6#31000C211yesmaximal, characteristic, complemented
7#30733C211yesmaximal, characteristic, complemented
8#30691C211yesmaximal, characteristic, complemented
9#28341C211yesmaximal, characteristic, complemented
10#27249C211yesmaximal, characteristic, complemented
11#26968C211yesmaximal, characteristic, complemented
12#26584C211yesmaximal, characteristic, complemented
13#26375C211yesmaximal, characteristic, complemented
14#26264C211yesmaximal, characteristic, complemented
15#26159C211yesmaximal, characteristic, complemented
16#25508C211yesmaximal, characteristic, complemented
17#25260C211yesmaximal, characteristic, complemented
18#25227C211yesmaximal, characteristic, complemented
19#25179C211yesmaximal, characteristic, complemented
20#24909C211yesmaximal, characteristic, complemented
21#24742C211yesmaximal, characteristic, complemented
22#24512C211yesmaximal, characteristic, complemented
23#24435C211yesmaximal, characteristic, complemented
24#24370C211yesmaximal, characteristic, complemented
25#24370C211yesmaximal, characteristic, complemented
26#24032C211yesmaximal, characteristic, complemented
27#23010C211yesmaximal, characteristic, complemented
28#22907C211yesmaximal, characteristic, complemented
29#22857C211yesmaximal, characteristic, complemented
30#22443C211yesmaximal, characteristic, complemented
31#20932C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C2×#550C2211yescharacteristic
35C2×D42C2211yescharacteristic
36C2×#540C2211yescharacteristic
37C2×#520C2211yescharacteristic, complemented
38#3274—28no—
39C2×#493C2211yescharacteristic
40#3119—28no—
41C2×#481C2211yescharacteristic, complemented
42C2×#480C2211yescharacteristic
43C2×#479C2211yescharacteristic, complemented
44C2×#478C2211yescharacteristic, complemented
45C2×#469C2211yescharacteristic
46C2×#469C2211yescharacteristic
47C2×#466C2211yescharacteristic, complemented
48C2×#460C2211yescharacteristic
49C2×#460C2211yescharacteristic
50C2×#460C2211yescharacteristic, complemented
51C2×#460C2211yescharacteristic, complemented
52C2×#459C2211yescharacteristic
53C2×#459C2211yescharacteristic, complemented
54C2×#449C2211yescharacteristic
55C2×#449C2211yescharacteristic
56C2×#449C2211yescharacteristic, complemented
57C2×#449C2211yescharacteristic, complemented
58C2×#447C2211yescharacteristic
59C2×#447C2211yescharacteristic
60C2×#442C2211yescharacteristic, complemented
61C2×#440C2211yescharacteristic, complemented
62C2×#440C2211yescharacteristic, complemented
63C2×C4×SD16C2211yescharacteristic
64C2×C4×SD16C2211yescharacteristic, complemented
65C2×C4×D8C2211yescharacteristic, complemented
66C2×#436C2211yescharacteristic
67C2×#433C2211yescharacteristic, complemented
68C2×#416C2211yescharacteristic, complemented
69C22×#102C2211yescharacteristic
70#2703—21no—
71#2678—21no—
72#2678—21no—
73#2668—21no—
74#2624—21no—
75#2624C2211yescharacteristic, complemented
76#2541C2211yescharacteristic
77#2539—21no—
78#2504—21no—
79#2504C2211yescharacteristic, complemented
80#2490C2211yescharacteristic
81#2486—21no—
82#2486C2211yescharacteristic
83#2464—21no—
84#2454C2211yescharacteristic
85#2445—21no—
86#2445—21no—
87#2445C2211yescharacteristic
88#2445C2211yescharacteristic, complemented
89#2445C2211yescharacteristic, complemented
90#2433C2211yescharacteristic
91#2433C2211yescharacteristic
92#2428C2211yescharacteristic
93#2420—21no—
94#2420—21no—
95#2420C2211yescharacteristic, complemented
96#2420C2211yescharacteristic, complemented
97#2414C2211yescharacteristic
98#2410—21no—
99#2408—21no—
100#2395—21no—
101#2395C2211yescharacteristic
102#2366C2211yescharacteristic
103#2363C2211yescharacteristic
104#2351C2211yescharacteristic, complemented
105#2351C2211yescharacteristic, complemented
106#2341C2211yescharacteristic, complemented
107#2341C2211yescharacteristic, complemented
108#2341C2211yescharacteristic, complemented
109D4×C22⋊C4C2211yescharacteristic
110#2309C2211yescharacteristic
111#2092C2211yescharacteristic
112#2092C2211yescharacteristic, complemented
113#2088C2211yescharacteristic, complemented
114#2085C2211yescharacteristic, complemented
115#2077C2211yescharacteristic, complemented
116#2073C2211yescharacteristic, complemented
117#2067C2211yescharacteristic, complemented
118#2067C2211yescharacteristic, complemented
119#2067C2211yescharacteristic, complemented
120#2065C2211yescharacteristic
121#2059C2211yescharacteristic, complemented
122#2054C2211yescharacteristic
123#2054C2211yescharacteristic
124#2054C2211yescharacteristic, complemented
125#2054C2211yescharacteristic, complemented
126#2054C2211yescharacteristic, complemented
127#2041C2211yescharacteristic
128#2041C2211yescharacteristic
129#2041C2211yescharacteristic, complemented
130#2041C2211yescharacteristic, complemented
131#2034C2211yescharacteristic, complemented
132#2033C2211yescharacteristic
133#2033C2211yescharacteristic
134#2033C2211yescharacteristic, complemented
135#2025C2211yescharacteristic, complemented
136#2011C2211yescharacteristic
137#2011C2211yescharacteristic
138#2011C2211yescharacteristic, complemented
139#2011C2211yescharacteristic, complemented
140#2011C2211yescharacteristic, complemented
141#2011C2211yescharacteristic, complemented
142#1999C2211yescharacteristic, complemented
143#1972C2211yescharacteristic
144#1972C2211yescharacteristic, complemented
145#1972C2211yescharacteristic, complemented
146#1972C2211yescharacteristic, complemented
147#1970C2211yescharacteristic
148#1961C2211yescharacteristic
149#1961C2211yescharacteristic, complemented
150#1949C2211yescharacteristic, complemented
151#1941C2211yescharacteristic, complemented
152#1940C2211yescharacteristic, complemented
153#1936C2211yescharacteristic
154#1936C2211yescharacteristic, complemented
155#1934C2211yescharacteristic, complemented
156#1934C2211yescharacteristic, complemented
157#1925C2211yescharacteristic, complemented
158#1925C2211yescharacteristic, complemented
159#1924C2211yescharacteristic, complemented
160#1924C2211yescharacteristic, complemented
161#1916C2211yescharacteristic, complemented
162#1916C2211yescharacteristic, complemented
163#1895C2211yescharacteristic, complemented
164#1895C2211yescharacteristic, complemented
165#1893C2211yescharacteristic
166#1880C2211yescharacteristic
167#1880C2211yescharacteristic
168#1880C2211yescharacteristic
169#1880C2211yescharacteristic, complemented
170#1880C2211yescharacteristic, complemented
171#1880C2211yescharacteristic, complemented
172#1880C2211yescharacteristic, complemented
173#1880C2211yescharacteristic, complemented
174#1879C2211yescharacteristic
175#1879C2211yescharacteristic
176#1879C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1879C2211yescharacteristic, complemented
179#1879C2211yescharacteristic, complemented
180#1879C2211yescharacteristic, complemented
181#1879C2211yescharacteristic, complemented
182#1875C2211yescharacteristic, complemented
183#1869C2211yescharacteristic
184#1865C2211yescharacteristic, complemented
185#1864C2211yescharacteristic, complemented
186#1863C2211yescharacteristic, complemented
187#1862C2211yescharacteristic
188#1862C2211yescharacteristic
189#1862C2211yescharacteristic, complemented
190#1854C2211yescharacteristic, complemented
191#1851C2211yescharacteristic, complemented
192#1851C2211yescharacteristic, complemented
193#1809C2211yescharacteristic, complemented
194#1804C2211yescharacteristic, complemented
195#1788C2211yescharacteristic, complemented
196#1786C2211yescharacteristic
197#1786C2211yescharacteristic
198#1786C2211yescharacteristic
199#1771C2211yescharacteristic, complemented
200#1763C2211yescharacteristic, complemented
201#1753C2211yescharacteristic, complemented
202#1752C2211yescharacteristic, complemented
203#1736C2211yescharacteristic, complemented
204#1729C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×D4—21no—
208C23×D4C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C2×AGL(1,ℤ/8)—24no—
211C2×AGL(1,ℤ/8)—24no—
212C2×AGL(1,ℤ/8)—24no—
213C2×AGL(1,ℤ/8)—24no—
214C2×AGL(1,ℤ/8)—42no—
215C2×AGL(1,ℤ/8)—42no—
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C22×M16C2311yescharacteristic
229C22×M16C2311yescharacteristic
230C23×C8C2311yescharacteristic
231#550—24no—
232#550—42no—
233D42—24no—
234D42—42no—
235#540—24no—
236#540—42no—
237C2×#127—21no—
238C2×#127C2311yescharacteristic
239C2×#127C2311yescharacteristic
240C2×#127C2311yescharacteristic
241C2×#127C2311yescharacteristic
242C2×#127C2311yescharacteristic
243C2×#125C2311yescharacteristic
244C2×#123—21no—
245C2×#123—21no—
246C2×#123—21no—
247C2×#123—21no—
248C2×#123—21no—
249C2×#123—21no—
250C2×#121—21no—
251C2×#121—21no—
252C2×#121—21no—
253C2×#121—21no—
254C2×#121—21no—
255C2×#121—21no—
256C2×#121—21no—
257C2×#121—21no—
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#120—21no—
265C2×#120—21no—
266C2×#120—21no—
267C2×#120—21no—
268C2×#120—21no—
269C2×#120—21no—
270#520—24no—
271#520—42no—
272C2×C4×Q8C2311yescharacteristic
273C2×C4×Q8C2311yescharacteristic
274C2×C4×Q8C2311yescharacteristic
275C2×C4×Q8C2311yescharacteristic
276C2×C4×Q8C2311yescharacteristic
277C2×C4×D4—21no—
278C2×C4×D4—21no—
279C2×C4×D4—21no—
280C2×C4×D4—21no—
281C2×C4×D4C2311yescharacteristic
282C2×C4×D4C2311yescharacteristic
283C2×C4×D4C2311yescharacteristic
284C2×C4×D4C2311yescharacteristic
285C2×C4×D4C2311yescharacteristic
286C2×C4×D4C2311yescharacteristic
287C2×C4×D4C2311yescharacteristic
288C2×#117—21no—
289C2×#117C2311yescharacteristic
290C2×#117C2311yescharacteristic
291C22×C4⋊C4—21no—
292C22×C4⋊C4C2311yescharacteristic
293C22×C22⋊C4—21no—
294#493—24no—
295#481—24no—
296#480—24no—
297#479—24no—
298#478—24no—
299#469—24no—
300#469—24no—
301#466—42no—
302#460—24no—
303#460—24no—
304#460—24no—
305#460—42no—
306#459—24no—
307#459—24no—
308#449—24no—
309#449—24no—
310#449—42no—
311#449D418yescomplemented
312#447—24no—
313#447—24no—
314#442—24no—
315#440—24no—
316#440—42no—
317C4×SD16—24no—
318C4×SD16—24no—
319C4×D8—24no—
320#436—24no—
321#433—24no—
322C2×#107C2311yescharacteristic
323C2×#107C2311yescharacteristic
324C2×#107C2311yescharacteristic
325C2×#107C2311yescharacteristic
326C2×#106C2311yescharacteristic
327C2×#106C2311yescharacteristic
328C2×#106C2311yescharacteristic
329C2×#106C2311yescharacteristic
330C2×C4⋊C8C2311yescharacteristic
331C2×C4⋊C8C2311yescharacteristic
332C2×C4⋊C8C2311yescharacteristic
333C2×C4⋊C8C2311yescharacteristic
334C2×C4⋊C8C2311yescharacteristic
335#416—42no—
336C2×#103C2311yescharacteristic
337C2×#103C2311yescharacteristic
338C2×#103C2311yescharacteristic
339C2×#103C2311yescharacteristic
340C2×#102—42no—
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
366C2×#102C2311yescharacteristic
367C2×#102C2311yescharacteristic
368C2×#102C2311yescharacteristic
369C2×C22⋊C8C2311yescharacteristic
370C2×C22⋊C8C2311yescharacteristic
371C2×C22⋊C8C2311yescharacteristic
372C2×C22⋊C8C2311yescharacteristic
373C2×C22⋊C8C2311yescharacteristic
374C2×#97C2311yescharacteristic
375C2×#97C2311yescharacteristic
376C2×#97C2311yescharacteristic
377C2×C4×C8C2311yescharacteristic
378C2×C4×C8C2311yescharacteristic
379#400D411yescharacteristic
380#399—21no—
381#399—21no—
382#399D411yescharacteristic
383#398—21no—
384#398D411yescharacteristic
385#397—21no—
386#397—21no—
387#397—21no—
388#397—21no—
389#397—21no—
390#397—21no—
391#397—21no—
392#397D411yescharacteristic
393#397D411yescharacteristic
394#397D411yescharacteristic
395#396—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#394—21no—
407#394—21no—
408#394—21no—
409#394D411yescharacteristic
410#394D411yescharacteristic
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#390—21no—
420#390—21no—
421#390—21no—
422#390—21no—
423#390—21no—
424#390—21no—
425#390—21no—
426#390—21no—
427#390—21no—
428#390—21no—
429#390—21no—
430#390—21no—
431#390C2311yescharacteristic
432#390C2311yescharacteristic
433#390C2311yescharacteristic
434#390C2311yescharacteristic
435#390C2311yescharacteristic
436#390C2311yescharacteristic
437#390C2311yescharacteristic
438#390C2311yescharacteristic
439#390C2311yescharacteristic
440#390C2311yescharacteristic
441#390C2311yescharacteristic
442#390C2311yescharacteristic
443#390C2311yescharacteristic
444#390C2311yescharacteristic
445#389—21no—
446#389—21no—
447#389—21no—
448#389—21no—
449#389C2311yescharacteristic
450#389C2311yescharacteristic
451#389C2311yescharacteristic
452#389C2311yescharacteristic
453#389C2311yescharacteristic
454#389C2311yescharacteristic
455#388—21no—
456#388—21no—
457#388—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#386—21no—
469#386—21no—
470#386—21no—
471#385—21no—
472#382—21no—
473#382—21no—
474#382C2311yescharacteristic
475#382C2311yescharacteristic
476#381—21no—
477#381—21no—
478#381—21no—
479#380—21no—
480#380—21no—
481#380—21no—
482#380—21no—
483#380C2311yescharacteristic
484#380C2311yescharacteristic
485#380C2311yescharacteristic
486#380C2311yescharacteristic
487#379—21no—
488#379—21no—
489#379—21no—
490C4×C4⋊C4—21no—
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#336C2311yescharacteristic
515#336C2311yescharacteristic
516#336C2311yescharacteristic
517#336C2311yescharacteristic
518#336C2311yescharacteristic
519#336C2311yescharacteristic
520#336C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524C25—21no—
525C25—21no—
526C2×#41—22no—
527C2×#41—22no—
528C2×#41—22no—
529C2×#41—22no—
530C2×#41—22no—
531C2×#41—22no—
532C2×#41—41no—
533C2×#41—41no—
534C2×#41—41no—
535C2×#41—41no—
536C2×#41—41no—
537C2×#41C2×D414yes—
538C22×Q8C2411yescharacteristic
539C22×D4—21no—
540C22×D4—21no—
541C22×D4—22no—
542C22×D4—22no—
543C22×D4—22no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—22no—
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—21no—
562C22×D4—21no—
563C22×D4—22no—
564C22×D4—41no—
565C22×D4—41no—
566C22×D4—41no—
567C22×D4—41no—
568C22×D4—41no—
569C22×D4—41no—
570C22×D4—41no—
571C22×D4—44no—
572C22×D4—82no—
573C22×D4—82no—
574C22×D4C2×D411yescharacteristic
575C22×D4C2411yescharacteristic
576C22×D4C2411yescharacteristic
577C22×D4C2411yescharacteristic
578C22×D4C2411yescharacteristic
579C22×D4C2411yescharacteristic
580C22×D4C2411yescharacteristic
581C23×C4—21no—
582C23×C4—21no—
583C23×C4—21no—
584C23×C4—21no—
585C23×C4—21no—
586C23×C4—21no—
587C23×C4—21no—
588C23×C4—21no—
589C23×C4—21no—
590C23×C4C2411yescharacteristic
591C23×C4C2411yescharacteristic
592AGL(1,ℤ/8)—416no—
593AGL(1,ℤ/8)—416no—
594C2×SD16—22no—
595C2×SD16—22no—
596C2×SD16—22no—
597C2×SD16—22no—
598C2×SD16—22no—
599C2×SD16—22no—
600C2×SD16—22no—
601C2×SD16—22no—
602C2×SD16—22no—
603C2×SD16—22no—
604C2×SD16C2×D414yes—
605C2×SD16#4114yes—
606C2×D8—22no—
607C2×D8—22no—
608C2×D8—22no—
609C2×D8—22no—
610C2×D8—22no—
611C2×D8—22no—
612C2×D8—22no—
613C2×D8—22no—
614C2×D8—22no—
615C2×D8—22no—
616C2×D8—41no—
617C2×D8—41no—
618C2×D8—41no—
619C2×D8—41no—
620C2×D8—41no—
621C2×D8—41no—
622C2×D8—41no—
623C2×D8—41no—
624C2×D8—41no—
625C2×D8—41no—
626C2×D8—41no—
627C2×D8—41no—
628C2×D8—41no—
629C2×D8C2×D414yes—
630C2×M16—22no—
631C2×M16—22no—
632C2×M16—22no—
633C2×M16—22no—
634C2×M16—41no—
635C2×M16—41no—
636C22×C8—22no—
637C22×C8—41no—
638C22×C8—41no—
639C22×C8C2411yescharacteristic
640C22×C8C2411yescharacteristic
641C22×C8C2411yescharacteristic
642C22×C8C2411yescharacteristic
643C22×C8C2411yescharacteristic
644C22×C8C2411yescharacteristic
645C22×C8C2411yescharacteristic
646C22×C8C2411yescharacteristic
647#127—22no—
648#127—22no—
649#127—22no—
650#127—22no—
651#127—41no—
652#127—41no—
653#127—41no—
654#127—41no—
655#127—41no—
656#127—41no—
657#127—44no—
658#125—22no—
659#125—41no—
660#123—44no—
661#123—44no—
662#123—82no—
663#123—82no—
664#123—82no—
665#123—82no—
666#121—22no—
667#121—22no—
668#121—22no—
669#121—22no—
670#121—22no—
671#121—22no—
672#121—22no—
673#121—44no—
674#121—44no—
675#121—44no—
676#121—44no—
677#121—44no—
678#121—41no—
679#121—41no—
680#121—41no—
681#121—41no—
682#121—82no—
683#121—82no—
684#121—82no—
685#121C2×D414yes—
686#120—44no—
687#120—44no—
688#120—82no—
689#120—82no—
690#120—82no—
691#120—82no—
692C4×Q8—22no—
693C4×Q8—22no—
694C4×Q8—22no—
695C4×Q8—22no—
696C4×Q8—22no—
697C4×Q8—41no—
698C4×Q8—41no—
699C4×Q8—41no—
700C4×Q8—41no—
701C4×Q8—41no—
702C4×D4—22no—
703C4×D4—22no—
704C4×D4—22no—
705C4×D4—22no—
706C4×D4—22no—
707C4×D4—22no—
708C4×D4—22no—
709C4×D4—41no—
710C4×D4—41no—
711C4×D4—41no—
712C4×D4—41no—
713C4×D4—41no—
714C4×D4—41no—
715C4×D4—41no—
716C4×D4—44no—
717C4×D4—44no—
718C4×D4—44no—
719C4×D4—82no—
720#117—22no—
721#117—22no—
722#117—44no—
723#117—41no—
724#117—41no—
725C2×C4⋊C4—22no—
726C2×C4⋊C4—22no—
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—21no—
739C2×C4⋊C4—21no—
740C2×C4⋊C4—21no—
741C2×C4⋊C4—44no—
742C2×C4⋊C4C2×D411yescharacteristic
743C2×C4⋊C4C2×D411yescharacteristic
744C2×C4⋊C4C2×D411yescharacteristic
745C2×C4⋊C4C2×D411yescharacteristic
746C2×C4⋊C4C2×D411yescharacteristic
747C2×C4⋊C4C2×D411yescharacteristic
748C2×C4⋊C4C2×D411yescharacteristic
749C2×C4⋊C4C2411yescharacteristic
750C2×C4⋊C4C2411yescharacteristic
751C2×C4⋊C4C2411yescharacteristic
752C2×C4⋊C4C2411yescharacteristic
753C2×C4⋊C4C2411yescharacteristic
754C2×C4⋊C4C2411yescharacteristic
755C2×C4⋊C4C2411yescharacteristic
756C2×C4⋊C4C2411yescharacteristic
757C2×C4⋊C4C2411yescharacteristic
758C2×C22⋊C4—21no—
759C2×C22⋊C4—21no—
760C2×C22⋊C4—21no—
761C2×C22⋊C4—21no—
762C2×C22⋊C4—21no—
763C2×C22⋊C4—21no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
767C2×C22⋊C4—21no—
768C2×C22⋊C4—21no—
769C2×C22⋊C4—21no—
770C2×C22⋊C4—21no—
771C2×C22⋊C4—21no—
772C2×C22⋊C4—21no—
773C2×C22⋊C4—21no—
774C2×C22⋊C4—21no—
775C2×C22⋊C4—21no—
776C2×C22⋊C4—21no—
777C2×C22⋊C4—21no—
778C2×C22⋊C4—21no—
779C2×C22⋊C4—21no—
780C2×C22⋊C4—21no—
781C2×C22⋊C4—21no—
782C2×C22⋊C4—21no—
783C2×C22⋊C4—21no—
784C2×C22⋊C4—21no—
785C2×C22⋊C4—21no—
786C2×C22⋊C4—21no—
787C2×C22⋊C4—21no—
788C2×C22⋊C4—21no—
789C2×C22⋊C4—21no—
790C2×C22⋊C4—21no—
791C2×C22⋊C4—21no—
792C2×C22⋊C4—21no—
793C2×C22⋊C4—21no—
794C2×C22⋊C4—21no—
795C2×C22⋊C4—21no—
796C2×C22⋊C4—21no—
797C2×C22⋊C4—21no—
798C2×C22⋊C4—21no—
799C2×C22⋊C4—21no—
800C2×C22⋊C4—21no—
801C2×C22⋊C4—21no—
802C2×C22⋊C4—21no—
803C2×C22⋊C4—82no—
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×C22⋊C4C2×D411yescharacteristic
812C2×C22⋊C4C2×D411yescharacteristic
813C2×C22⋊C4C2×D411yescharacteristic
814C2×C42—21no—
815C2×C42—21no—
816C2×C42—21no—
817C2×C42—21no—
818C2×C42—21no—
819C2×C42—21no—
820C2×C42—21no—
821C2×C42C2411yescharacteristic
822C2×C42C2411yescharacteristic
823C2×C42C2411yescharacteristic
824C2×C42C2411yescharacteristic
825C2×C42C2411yescharacteristic
826#107—22no—
827#107—22no—
828#107—41no—
829#107—41no—
830#106—22no—
831#106—22no—
832#106—22no—
833#106—41no—
834C4⋊C8—22no—
835C4⋊C8—22no—
836C4⋊C8—22no—
837C4⋊C8—22no—
838C4⋊C8—41no—
839#103—22no—
840#103—22no—
841#103—22no—
842#103C2×D414yes—
843#102—22no—
844#102—22no—
845#102—22no—
846#102—22no—
847#102—22no—
848#102—22no—
849#102—22no—
850#102—22no—
851#102—22no—
852#102—22no—
853#102—22no—
854#102—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—
869#102—41no—
870#102C2×D414yes—
871C22⋊C8—22no—
872C22⋊C8—22no—
873C22⋊C8—41no—
874C22⋊C8—41no—
875C22⋊C8C2×D414yes—
876#97—22no—
877#97—41no—
878#97—41no—
879C4×C8—22no—
880C4×C8—22no—
881#95—21no—
882#95—21no—
883#95—21no—
884#95—21no—
885#95—21no—
886#95—21no—
887#95—21no—
888#95—21no—
889#95—21no—
890#95—21no—
891#95—21no—
892#95—21no—
893#95—21no—
894#95—21no—
895#95—21no—
896#95C2×D411yescharacteristic
897#95C2×D411yescharacteristic
898#95C2×D411yescharacteristic
899#95C2×D411yescharacteristic
900#95C2×D411yescharacteristic
901#95C2×D411yescharacteristic
902#95C2×D411yescharacteristic
903#95C2×D411yescharacteristic
904#95C2×D411yescharacteristic
905#95C2×D411yescharacteristic
906C24—21no—
907C24—21no—
908C24—21no—
909C24—21no—
910C24—21no—
911C24—21no—
912C24—42no—
913C24—42no—
914C24—42no—
915C24—42no—
916C24—42no—
917C24—81no—
918C24—81no—
919C24—81no—
920C24—81no—
921C24—81no—
922C24—81no—
923C24—81no—
924C24—81no—
925C24—81no—
926C24C22×D411yescharacteristic
927C24C22×D411yescharacteristic
928#41—28no—
929#41—44no—
930#41—44no—
931#41—44no—
932#41—44no—
933#41—82no—
934#41—82no—
935#41—82no—
936C2×Q8—21no—
937C2×Q8—21no—
938C2×Q8—21no—
939C2×Q8C22×D412yes—
940C2×Q8C2×#4112yes—
941C2×Q8H(5,𝔽2)12yes—
942C2×D4—22no—
943C2×D4—24no—
944C2×D4—24no—
945C2×D4—22no—
946C2×D4—21no—
947C2×D4—21no—
948C2×D4—21no—
949C2×D4—21no—
950C2×D4—21no—
951C2×D4—21no—
952C2×D4—21no—
953C2×D4—21no—
954C2×D4—21no—
955C2×D4—21no—
956C2×D4—21no—
957C2×D4—21no—
958C2×D4—21no—
959C2×D4—21no—
960C2×D4—21no—
961C2×D4—21no—
962C2×D4—21no—
963C2×D4—21no—
964C2×D4—21no—
965C2×D4—21no—
966C2×D4—21no—
967C2×D4—21no—
968C2×D4—21no—
969C2×D4—21no—
970C2×D4—21no—
971C2×D4—21no—
972C2×D4—21no—
973C2×D4—21no—
974C2×D4—21no—
975C2×D4—21no—
976C2×D4—21no—
977C2×D4—21no—
978C2×D4—21no—
979C2×D4—44no—
980C2×D4—44no—
981C2×D4—41no—
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—44no—
1002C2×D4—42no—
1003C2×D4—42no—
1004C2×D4—42no—
1005C2×D4—42no—
1006C2×D4—42no—
1007C2×D4—42no—
1008C2×D4—42no—
1009C2×D4—42no—
1010C2×D4—82no—
1011C2×D4—82no—
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—82no—
1033C2×D4—82no—
1034C2×D4—82no—
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—816no—
1047C2×D4C22×D412yes—
1048C2×D4C22×D412yes—
1049C2×D4C2×#4112yes—
1050C22×C4—21no—
1051C22×C4—21no—
1052C22×C4—21no—
1053C22×C4—21no—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—24no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—42no—
1072C22×C4—42no—
1073C22×C4—42no—
1074C22×C4—42no—
1075C22×C4—42no—
1076C22×C4—42no—
1077C22×C4—42no—
1078C22×C4—42no—
1079C22×C4—42no—
1080C22×C4—42no—
1081C22×C4—42no—
1082C22×C4—42no—
1083C22×C4—42no—
1084C22×C4—81no—
1085C22×C4—81no—
1086C22×C4—81no—
1087C22×C4—81no—
1088C22×C4—81no—
1089C22×C4—81no—
1090C22×C4—81no—
1091C22×C4—81no—
1092C22×C4—81no—
1093C22×C4—81no—
1094C22×C4—81no—
1095C22×C4—81no—
1096C22×C4—81no—
1097C22×C4C22×D411yescharacteristic
1098C22×C4C22×D411yescharacteristic
1099C22×C4C22×D411yescharacteristic
1100C22×C4C22×D411yescharacteristic
1101C22×C4C22×D411yescharacteristic
1102C22×C4C22×D411yescharacteristic
1103C22×C4C22×D411yescharacteristic
1104C22×C4C22×D411yescharacteristic
1105C22×C4C22×D411yescharacteristic
1106C22×C4C22×D411yescharacteristic
1107C22×C4C22×D411yescharacteristic
1108C22×C4C22×D412yes—
1109C22×C4C22×D411yescharacteristic
1110C22×C4H(5,𝔽2)12yes—
1111C22×C4C2511yescharacteristic
1112SD16—28no—
1113SD16—28no—
1114SD16—44no—
1115SD16—44no—
1116D8—44no—
1117D8—44no—
1118D8—44no—
1119D8—44no—
1120D8—44no—
1121D8—44no—
1122D8—82no—
1123D8—82no—
1124M16—44no—
1125M16—44no—
1126C2×C8—21no—
1127C2×C8—21no—
1128C2×C8—21no—
1129C2×C8—21no—
1130C2×C8—21no—
1131C2×C8—21no—
1132C2×C8—21no—
1133C2×C8—21no—
1134C2×C8—21no—
1135C2×C8—21no—
1136C2×C8—21no—
1137C2×C8—21no—
1138C2×C8—21no—
1139C2×C8—21no—
1140C2×C8—21no—
1141C2×C8—21no—
1142C2×C8—21no—
1143C2×C8—21no—
1144C2×C8—21no—
1145C2×C8—21no—
1146C2×C8—21no—
1147C2×C8—82no—
1148C2×C8C22×D412yes—
1149C2×C8C22×D412yes—
1150C2×C8C2×#4112yes—
1151C4⋊C4—22no—
1152C4⋊C4—22no—
1153C4⋊C4—22no—
1154C4⋊C4—22no—
1155C4⋊C4—22no—
1156C4⋊C4—21no—
1157C4⋊C4—21no—
1158C4⋊C4—21no—
1159C4⋊C4—21no—
1160C4⋊C4—21no—
1161C4⋊C4—21no—
1162C4⋊C4—21no—
1163C4⋊C4—21no—
1164C4⋊C4—21no—
1165C4⋊C4—21no—
1166C4⋊C4—21no—
1167C4⋊C4—21no—
1168C4⋊C4—21no—
1169C4⋊C4—21no—
1170C4⋊C4—21no—
1171C4⋊C4—21no—
1172C4⋊C4—21no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—42no—
1176C4⋊C4—42no—
1177C4⋊C4—42no—
1178C4⋊C4—42no—
1179C4⋊C4—42no—
1180C4⋊C4—42no—
1181C4⋊C4—42no—
1182C4⋊C4—42no—
1183C4⋊C4—42no—
1184C4⋊C4—42no—
1185C4⋊C4—81no—
1186C4⋊C4—81no—
1187C4⋊C4—81no—
1188C4⋊C4—81no—
1189C4⋊C4C22×D412yes—
1190C22⋊C4—22no—
1191C22⋊C4—22no—
1192C22⋊C4—22no—
1193C22⋊C4—24no—
1194C22⋊C4—22no—
1195C22⋊C4—41no—
1196C22⋊C4—41no—
1197C22⋊C4—41no—
1198C22⋊C4—41no—
1199C22⋊C4—41no—
1200C22⋊C4—41no—
1201C22⋊C4—42no—
1202C22⋊C4—42no—
1203C22⋊C4—42no—
1204C22⋊C4—42no—
1205C22⋊C4—42no—
1206C22⋊C4—42no—
1207C22⋊C4—42no—
1208C22⋊C4—42no—
1209C22⋊C4—42no—
1210C22⋊C4—42no—
1211C22⋊C4—42no—
1212C22⋊C4—42no—
1213C22⋊C4—42no—
1214C22⋊C4—81no—
1215C22⋊C4—81no—
1216C22⋊C4—81no—
1217C22⋊C4—81no—
1218C22⋊C4—81no—
1219C22⋊C4—81no—
1220C22⋊C4—81no—
1221C22⋊C4—81no—
1222C22⋊C4—81no—
1223C22⋊C4—81no—
1224C22⋊C4—81no—
1225C22⋊C4—81no—
1226C22⋊C4—81no—
1227C22⋊C4—81no—
1228C22⋊C4—81no—
1229C22⋊C4—81no—
1230C22⋊C4—81no—
1231C22⋊C4—81no—
1232C22⋊C4—81no—
1233C22⋊C4—81no—
1234C22⋊C4—81no—
1235C22⋊C4—81no—
1236C22⋊C4—81no—
1237C22⋊C4—81no—
1238C22⋊C4—81no—
1239C22⋊C4—81no—
1240C22⋊C4—81no—
1241C22⋊C4—81no—
1242C22⋊C4—81no—
1243C22⋊C4—81no—
1244C22⋊C4—81no—
1245C42—21no—
1246C42—21no—
1247C42—21no—
1248C42—21no—
1249C42—21no—
1250C42—21no—
1251C42—21no—
1252C42—21no—
1253C42—21no—
1254C42—21no—
1255C42—42no—
1256C42—42no—
1257C42—42no—
1258C42—42no—
1259C42—42no—
1260C42—81no—
1261C42—81no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—22no—
1272C23—21no—
1273C23—22no—
1274C23—21no—
1275C23—22no—
1276C23—21no—
1277C23—21no—
1278C23—41no—
1279C23—41no—
1280C23—41no—
1281C23—41no—
1282C23—41no—
1283C23—41no—
1284C23—41no—
1285C23—41no—
1286C23—41no—
1287C23—41no—
1288C23—41no—
1289C23—41no—
1290C23—41no—
1291C23—41no—
1292C23—41no—
1293C23—41no—
1294C23—41no—
1295C23—41no—
1296C23—41no—
1297C23—41no—
1298C23—41no—
1299C23—41no—
1300C23—41no—
1301C23—41no—
1302C23—41no—
1303C23—41no—
1304C23—41no—
1305C23—41no—
1306C23—41no—
1307C23—41no—
1308C23—41no—
1309C23—41no—
1310C23—41no—
1311C23—41no—
1312C23—41no—
1313C23—41no—
1314C23—41no—
1315C23—41no—
1316C23—41no—
1317C23—84no—
1318C23—84no—
1319C23—84no—
1320C23—84no—
1321C23—84no—
1322C23—162no—
1323C23—162no—
1324C23—162no—
1325C23—162no—
1326C23—162no—
1327C23—162no—
1328C23—162no—
1329C23—162no—
1330C23—162no—
1331C23D4212yes—
1332C23C23×D411yescharacteristic
1333Q8—22no—
1334Q8—22no—
1335Q8—22no—
1336Q8#54614yes—
1337D4—22no—
1338D4—22no—
1339D4—22no—
1340D4—22no—
1341D4—22no—
1342D4—22no—
1343D4—44no—
1344D4—48no—
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—41no—
1358D4—41no—
1359D4—41no—
1360D4—41no—
1361D4—41no—
1362D4—41no—
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—
1378D4—162no—
1379D4—162no—
1380D4—162no—
1381D4—162no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—21no—
1387C2×C4—22no—
1388C2×C4—21no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—22no—
1414C2×C4—21no—
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—48no—
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—84no—
1456C2×C4—84no—
1457C2×C4—162no—
1458C2×C4—162no—
1459C2×C4—162no—
1460C2×C4—162no—
1461C2×C4—162no—
1462C2×C4—162no—
1463C2×C4D4212yes—
1464C2×C4#57612yes—
1465C2×C4C23×D411yescharacteristic
1466C2×C4C22×#4111yescharacteristic
1467C2×C4C2×H(5,𝔽2)11yescharacteristic
1468C2×C4C2×H(5,𝔽2)11yescharacteristic
1469C2×C4#58511yescharacteristic
1470C2×C4#58511yescharacteristic
1471C8—22no—
1472C8—22no—
1473C8—22no—
1474C8—41no—
1475C8—41no—
1476C8—41no—
1477C8—41no—
1478C8—41no—
1479C22—22no—
1480C22—22no—
1481C22—22no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—42no—
1487C22—41no—
1488C22—41no—
1489C22—42no—
1490C22—41no—
1491C22—42no—
1492C22—42no—
1493C22—42no—
1494C22—41no—
1495C22—41no—
1496C22—42no—
1497C22—41no—
1498C22—42no—
1499C22—42no—
1500C22—41no—
1501C22—42no—
1502C22—81no—
1503C22—81no—
1504C22—81no—
1505C22—81no—
1506C22—81no—
1507C22—81no—
1508C22—81no—
1509C22—81no—
1510C22—81no—
1511C22—81no—
1512C22—81no—
1513C22—81no—
1514C22—81no—
1515C22—81no—
1516C22—81no—
1517C22—81no—
1518C22—81no—
1519C22—81no—
1520C22—81no—
1521C22—81no—
1522C22—81no—
1523C22—81no—
1524C22—81no—
1525C22—81no—
1526C22—81no—
1527C22—81no—
1528C22—81no—
1529C22—81no—
1530C22—81no—
1531C22—81no—
1532C22—81no—
1533C22—81no—
1534C22—81no—
1535C22—168no—
1536C22—168no—
1537C22C2×D4211yescharacteristic
1538C22D4×#4111yescharacteristic
1539C22#348811yescharacteristic
1540C22C2×#57611yescharacteristic
1541C22#358511yescharacteristic
1542C22#358511yescharacteristic
1543C22#358511yescharacteristic
1544C4—22no—
1545C4—24no—
1546C4—22no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—42no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—81no—
1559C4—81no—
1560C4—81no—
1561C4—81no—
1562C4—81no—
1563C4—81no—
1564C4—81no—
1565C4—81no—
1566C4C2×#54611yescharacteristic
1567C4#348511yescharacteristic
1568C4#351311yescharacteristic
1569C4#353411yescharacteristic
1570C2—42no—
1571C2—81no—
1572C2—82no—
1573C2—82no—
1574C2—82no—
1575C2—161no—
1576C2—161no—
1577C2—161no—
1578C2#5899411yescharacteristic
1579C2#6107211yescharacteristic
1580C2#6108211yescharacteristic
1581C2#6150411yescharacteristic
1582C2#6155511yescharacteristic
1583C2#6203711yescharacteristic
1584C2#6208111yescharacteristic
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×#3274C2semidirect
2. C2×#3119C2semidirect
3. #44872C2semidirect
4. #36076C2semidirect
5. #31172C2semidirect
6. #31000C2semidirect
7. #30733C2semidirect
8. #30691C2semidirect
9. #28341C2semidirect
10. #27249C2semidirect
11. #26968C2semidirect
12. #26584C2semidirect
13. #26375C2semidirect
14. #26264C2semidirect
15. #26159C2semidirect
16. #25508C2semidirect
17. #25260C2semidirect
18. #25227C2semidirect
19. #25179C2semidirect
20. #24909C2semidirect
21. #24742C2semidirect
22. #24512C2semidirect
23. #24435C2semidirect
24. #24370C2semidirect
25. #24370C2semidirect
26. #24032C2semidirect
27. #23010C2semidirect
28. #22907C2semidirect
29. #22857C2semidirect
30. #22443C2semidirect
31. #20932C2semidirect
37. C2×#520C22semidirect
41. C2×#481C22semidirect
43. C2×#479C22semidirect
44. C2×#478C22semidirect
47. C2×#466C22semidirect
50. C2×#460C22semidirect
51. C2×#460C22semidirect
53. C2×#459C22semidirect
56. C2×#449C22semidirect
57. C2×#449C22semidirect
60. C2×#442C22semidirect
61. C2×#440C22semidirect
62. C2×#440C22semidirect
64. C2×C4×SD16C22semidirect
65. C2×C4×D8C22semidirect
67. C2×#433C22semidirect
68. C2×#416C22semidirect
75. #2624C22semidirect
79. #2504C22semidirect
88. #2445C22semidirect
89. #2445C22semidirect
95. #2420C22semidirect
96. #2420C22semidirect
104. #2351C22semidirect
105. #2351C22semidirect
106. #2341C22semidirect
107. #2341C22semidirect
108. #2341C22semidirect
112. #2092C22semidirect
113. #2088C22semidirect
114. #2085C22semidirect
115. #2077C22semidirect
116. #2073C22semidirect
117. #2067C22semidirect
118. #2067C22semidirect
119. #2067C22semidirect
121. #2059C22semidirect
124. #2054C22semidirect
125. #2054C22semidirect
126. #2054C22semidirect
129. #2041C22semidirect
130. #2041C22semidirect
131. #2034C22semidirect
134. #2033C22semidirect
135. #2025C22semidirect
138. #2011C22semidirect
139. #2011C22semidirect
140. #2011C22semidirect
141. #2011C22semidirect
142. #1999C22semidirect
144. #1972C22semidirect
145. #1972C22semidirect
146. #1972C22semidirect
149. #1961C22semidirect
150. #1949C22semidirect
151. #1941C22semidirect
152. #1940C22semidirect
154. #1936C22semidirect
155. #1934C22semidirect
156. #1934C22semidirect
157. #1925C22semidirect
158. #1925C22semidirect
159. #1924C22semidirect
160. #1924C22semidirect
161. #1916C22semidirect
162. #1916C22semidirect
163. #1895C22semidirect
164. #1895C22semidirect
169. #1880C22semidirect
170. #1880C22semidirect
171. #1880C22semidirect
172. #1880C22semidirect
173. #1880C22semidirect
176. #1879C22semidirect
177. #1879C22semidirect
178. #1879C22semidirect
179. #1879C22semidirect
180. #1879C22semidirect
181. #1879C22semidirect
182. #1875C22semidirect
184. #1865C22semidirect
185. #1864C22semidirect
186. #1863C22semidirect
189. #1862C22semidirect
190. #1854C22semidirect
191. #1851C22semidirect
192. #1851C22semidirect
193. #1809C22semidirect
194. #1804C22semidirect
195. #1788C22semidirect
199. #1771C22semidirect
200. #1763C22semidirect
201. #1753C22semidirect
202. #1752C22semidirect
203. #1736C22semidirect
204. #1729C22semidirect
311. #449D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32742
C2×#31192
#448722
#360762
#311722
#310002
#307332
#306912
#283412
#272492
#269682
#265842
#263752
#262642
#261592
#255082
#252602
#252272
#251792
#249092
#247422
#245122
#244352
#243702
#240322
#230102
#229072
#228572
#224432
#209322