Finite Group Databasebeta

← #7056029

Subgroups — #7056029

Order 512.

2325 conjugacy classes of subgroups.

The subgroup lattice has 1656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3309C211yesmaximal, characteristic, complemented
2C2×#3294C211yesmaximal, characteristic, complemented
3#44927C211yesmaximal, characteristic, complemented
4#42476C211yesmaximal, characteristic, complemented
5#31145C211yesmaximal, characteristic, complemented
6#31124C211yesmaximal, characteristic, complemented
7#30890C211yesmaximal, characteristic, complemented
8#30874C211yesmaximal, characteristic, complemented
9#30714C211yesmaximal, characteristic, complemented
10#30701C211yesmaximal, characteristic, complemented
11#30462C211yesmaximal, characteristic, complemented
12#30444C211yesmaximal, characteristic, complemented
13#28584C211yesmaximal, characteristic, complemented
14#27264C211yesmaximal, characteristic, complemented
15#27257C211yesmaximal, characteristic, complemented
16#26916C211yesmaximal, characteristic, complemented
17#26891C211yesmaximal, characteristic, complemented
18#25734C211yesmaximal, characteristic, complemented
19#25422C211yesmaximal, characteristic, complemented
20#25414C211yesmaximal, characteristic, complemented
21#25116C211yesmaximal, characteristic, complemented
22#25115C211yesmaximal, characteristic, complemented
23#24440C211yesmaximal, characteristic, complemented
24#24435C211yesmaximal, characteristic, complemented
25#24434C211yesmaximal, characteristic, complemented
26#24428C211yesmaximal, characteristic, complemented
27#23972C211yesmaximal, characteristic, complemented
28#23963C211yesmaximal, characteristic, complemented
29#23511C211yesmaximal, characteristic, complemented
30#23123C211yesmaximal, characteristic, complemented
31#22093C211yesmaximal, characteristic, complemented
32C2×#553C2211yescharacteristic, complemented
33C2×#550C2211yescharacteristic
34C2×#547C2211yescharacteristic
35C2×#546C2211yescharacteristic
36C2×D42C2211yescharacteristic
37C2×#535C2211yescharacteristic
38#3309—28no—
39#3294—28no—
40C2×#496C2211yescharacteristic, complemented
41C2×#493C2211yescharacteristic
42C2×#490C2211yescharacteristic, complemented
43C2×#486C2211yescharacteristic
44C2×#482C2211yescharacteristic, complemented
45C2×#480C2211yescharacteristic
46C2×#480C2211yescharacteristic
47C2×#479C2211yescharacteristic, complemented
48C2×#474C2211yescharacteristic
49C2×#469C2211yescharacteristic
50C2×#466C2211yescharacteristic
51C2×#466C2211yescharacteristic
52C2×#466C2211yescharacteristic
53C2×#466C2211yescharacteristic, complemented
54C2×#465C2211yescharacteristic, complemented
55C2×#459C2211yescharacteristic
56C2×#459C2211yescharacteristic, complemented
57C2×#449C2211yescharacteristic, complemented
58C2×#449C2211yescharacteristic, complemented
59C2×#449C2211yescharacteristic, complemented
60C2×#449C2211yescharacteristic, complemented
61C2×#447C2211yescharacteristic
62C2×#447C2211yescharacteristic
63C2×#447C2211yescharacteristic
64C2×#447C2211yescharacteristic
65C2×#440C2211yescharacteristic, complemented
66C2×C4×D8C2211yescharacteristic
67C2×#435C2211yescharacteristic, complemented
68C2×C8×D4C2211yescharacteristic
69C2×#417C2211yescharacteristic, complemented
70C2×#418C2211yescharacteristic
71C2×#416C2211yescharacteristic, complemented
72C2×#416C2211yescharacteristic, complemented
73C22×#102C2211yescharacteristic
74C22×#102C2211yescharacteristic
75#2813—21no—
76#2705—21no—
77#2702—21no—
78#2682—21no—
79#2681—21no—
80#2678—21no—
81#2675—21no—
82#2669—21no—
83#2669—21no—
84#2630—21no—
85#2619C2211yescharacteristic, complemented
86#2615—21no—
87#2541C2211yescharacteristic
88#2541C2211yescharacteristic
89#2464—21no—
90#2454C2211yescharacteristic, complemented
91#2452C2211yescharacteristic, complemented
92#2442C2211yescharacteristic, complemented
93#2439C2211yescharacteristic, complemented
94#2433—21no—
95#2433C2211yescharacteristic
96#2431C2211yescharacteristic
97#2428C2211yescharacteristic
98#2428C2211yescharacteristic, complemented
99#2428C2211yescharacteristic, complemented
100#2426C2211yescharacteristic
101#2424—21no—
102#2416C2211yescharacteristic, complemented
103#2414C2211yescharacteristic
104#2414C2211yescharacteristic, complemented
105#2414C2211yescharacteristic, complemented
106#2410—21no—
107#2408C2211yescharacteristic
108#2407—21no—
109#2407C2211yescharacteristic
110#2392C2211yescharacteristic
111#2367C2211yescharacteristic
112#2324C2211yescharacteristic
113#2316C2211yescharacteristic, complemented
114#2085C2211yescharacteristic, complemented
115#2073C2211yescharacteristic, complemented
116#2067C2211yescharacteristic, complemented
117#2065C2211yescharacteristic, complemented
118#2055C2211yescharacteristic, complemented
119#2054C2211yescharacteristic
120#2042C2211yescharacteristic
121#2042C2211yescharacteristic
122#2042C2211yescharacteristic, complemented
123#2042C2211yescharacteristic, complemented
124#2041C2211yescharacteristic
125#2041C2211yescharacteristic
126#2041C2211yescharacteristic
127#2041C2211yescharacteristic, complemented
128#2041C2211yescharacteristic, complemented
129#2041C2211yescharacteristic, complemented
130#2041C2211yescharacteristic, complemented
131#2036C2211yescharacteristic, complemented
132#2034C2211yescharacteristic
133#2034C2211yescharacteristic
134#2033C2211yescharacteristic, complemented
135#2025C2211yescharacteristic
136#2025C2211yescharacteristic, complemented
137#2024C2211yescharacteristic, complemented
138#2023C2211yescharacteristic, complemented
139#2012C2211yescharacteristic
140#2012C2211yescharacteristic
141#2011C2211yescharacteristic
142#2011C2211yescharacteristic, complemented
143#2011C2211yescharacteristic, complemented
144#2011C2211yescharacteristic, complemented
145#2011C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#1999C2211yescharacteristic
148#1999C2211yescharacteristic
149#1999C2211yescharacteristic, complemented
150#1999C2211yescharacteristic, complemented
151#1999C2211yescharacteristic, complemented
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1972C2211yescharacteristic, complemented
155#1970C2211yescharacteristic, complemented
156#1961C2211yescharacteristic
157#1958C2211yescharacteristic, complemented
158#1943C2211yescharacteristic, complemented
159#1942C2211yescharacteristic, complemented
160#1936C2211yescharacteristic
161#1936C2211yescharacteristic, complemented
162#1934C2211yescharacteristic, complemented
163#1933C2211yescharacteristic, complemented
164#1926C2211yescharacteristic, complemented
165#1925C2211yescharacteristic, complemented
166#1924C2211yescharacteristic, complemented
167#1923C2211yescharacteristic, complemented
168#1921C2211yescharacteristic, complemented
169#1918C2211yescharacteristic, complemented
170#1917C2211yescharacteristic, complemented
171#1916C2211yescharacteristic, complemented
172#1895C2211yescharacteristic, complemented
173#1893C2211yescharacteristic, complemented
174#1893C2211yescharacteristic, complemented
175#1893C2211yescharacteristic, complemented
176#1880C2211yescharacteristic, complemented
177#1879C2211yescharacteristic
178#1879C2211yescharacteristic
179#1879C2211yescharacteristic, complemented
180#1879C2211yescharacteristic, complemented
181#1879C2211yescharacteristic, complemented
182#1879C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1875C2211yescharacteristic
185#1875C2211yescharacteristic
186#1875C2211yescharacteristic, complemented
187#1874C2211yescharacteristic, complemented
188#1872C2211yescharacteristic, complemented
189#1870C2211yescharacteristic
190#1869C2211yescharacteristic, complemented
191#1869C2211yescharacteristic, complemented
192#1869C2211yescharacteristic, complemented
193#1864C2211yescharacteristic
194#1864C2211yescharacteristic, complemented
195#1863C2211yescharacteristic, complemented
196#1862C2211yescharacteristic, complemented
197#1854C2211yescharacteristic, complemented
198#1824C2211yescharacteristic, complemented
199#1788C2211yescharacteristic, complemented
200#1786C2211yescharacteristic
201#1752C2211yescharacteristic, complemented
202C8×C22⋊C4C2211yescharacteristic, complemented
203#1750C2211yescharacteristic, complemented
204#1729C2211yescharacteristic, complemented
205C22×#41—21no—
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C23×D4—21no—
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×M16C2311yescharacteristic
222C23×C8C2311yescharacteristic
223C23×C8C2311yescharacteristic
224C23×C8C2311yescharacteristic
225#553—24no—
226#553—42no—
227#550—24no—
228#550—42no—
229#547—24no—
230#547—42no—
231#546—42no—
232#546—42no—
233D42—24no—
234D42—42no—
235#535—42no—
236#535—42no—
237C2×C4⋊Q8C2311yescharacteristic
238C2×#127—21no—
239C2×#127—21no—
240C2×#127C2311yescharacteristic
241C2×#127C2311yescharacteristic
242C2×#127C2311yescharacteristic
243C2×#127C2311yescharacteristic
244C2×#127C2311yescharacteristic
245C2×#126—21no—
246C2×#125C2311yescharacteristic
247C2×#124C2311yescharacteristic
248C2×#124C2311yescharacteristic
249C2×#123—21no—
250C2×#123—21no—
251C2×#123—21no—
252C2×#123—21no—
253C2×C22⋊Q8—21no—
254C2×C22⋊Q8—21no—
255C2×C22⋊Q8C2311yescharacteristic
256C2×#121—21no—
257C2×#121—21no—
258C2×#121—21no—
259C2×#121—21no—
260C2×#121—21no—
261C2×#121—21no—
262C2×#121—21no—
263C2×#121—21no—
264C2×#121—21no—
265C2×#121—21no—
266C2×#121—21no—
267C2×#121—21no—
268C2×#121—21no—
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#120—21no—
282C2×#120—21no—
283C2×#120—21no—
284C2×#120—21no—
285C2×#120—21no—
286C2×#120—21no—
287C2×#120—21no—
288C2×#120—21no—
289C2×C4×Q8C2311yescharacteristic
290C2×C4×D4—21no—
291C2×C4×D4—21no—
292C2×C4×D4C2311yescharacteristic
293C2×C4×D4C2311yescharacteristic
294C2×C4×D4C2311yescharacteristic
295C2×C4×D4C2311yescharacteristic
296C2×C4×D4C2311yescharacteristic
297C2×C4×D4C2311yescharacteristic
298C2×C4×D4C2311yescharacteristic
299C2×#117C2311yescharacteristic
300C2×#117C2311yescharacteristic
301C2×#117C2311yescharacteristic
302C22×C4⋊C4C2311yescharacteristic
303C22×C4⋊C4C2311yescharacteristic
304C22×C22⋊C4—21no—
305#496—42no—
306#493—42no—
307#490—24no—
308#486—24no—
309#482—24no—
310#480—24no—
311#480D418yescomplemented
312#479—24no—
313#474—24no—
314#469—24no—
315#466—24no—
316#466—24no—
317#466—24no—
318#466—42no—
319#465—42no—
320#459—24no—
321#459—24no—
322#449—24no—
323#449—24no—
324#449—42no—
325#449—42no—
326#447—24no—
327#447—24no—
328#447—42no—
329#447—42no—
330#440—24no—
331C4×D8—24no—
332#435—24no—
333C8×D4—24no—
334C2×#107C2311yescharacteristic
335C2×#107C2311yescharacteristic
336C2×#107C2311yescharacteristic
337C2×#107C2311yescharacteristic
338C2×#106C2311yescharacteristic
339C2×#106C2311yescharacteristic
340C2×C4⋊C8C2311yescharacteristic
341C2×C4⋊C8C2311yescharacteristic
342#418—42no—
343#417—24no—
344#416—24no—
345#416—42no—
346C2×#103C2311yescharacteristic
347C2×#103C2311yescharacteristic
348C2×#103C2311yescharacteristic
349C2×#103C2311yescharacteristic
350C2×#103C2311yescharacteristic
351C2×#103C2311yescharacteristic
352C2×#102—24no—
353C2×#102—24no—
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×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×C22⋊C8C2311yescharacteristic
385C2×C22⋊C8C2311yescharacteristic
386C2×C22⋊C8C2311yescharacteristic
387C2×C22⋊C8C2311yescharacteristic
388C2×C22⋊C8C2311yescharacteristic
389C2×C22⋊C8C2311yescharacteristic
390C2×C22⋊C8C2311yescharacteristic
391C2×C22⋊C8C2311yescharacteristic
392C2×#97C2311yescharacteristic
393C2×#97C2311yescharacteristic
394C2×C4×C8C2311yescharacteristic
395C2×C4×C8C2311yescharacteristic
396#400—21no—
397#399—21no—
398#398—21no—
399#398D411yescharacteristic
400#397D411yescharacteristic
401#396—21no—
402#396—21no—
403#396—21no—
404#396—21no—
405#396—21no—
406#396D411yescharacteristic
407#396D411yescharacteristic
408#394—21no—
409#394—21no—
410#394—21no—
411#394—21no—
412#394—21no—
413#394—21no—
414#394—21no—
415#394—21no—
416#394—21no—
417#394—21no—
418#394—21no—
419#394—21no—
420#394D411yescharacteristic
421#394D411yescharacteristic
422#394D411yescharacteristic
423#393—21no—
424#393—21no—
425#392—21no—
426#392—21no—
427#392—21no—
428#392—21no—
429#392—21no—
430#392—21no—
431#392—21no—
432#392—21no—
433#392—21no—
434#392—21no—
435#392—21no—
436#392—21no—
437#392—21no—
438#392—21no—
439#392—21no—
440#392—21no—
441#392—21no—
442#392—21no—
443#392D411yescharacteristic
444#391—21no—
445#391C2311yescharacteristic
446#390—21no—
447#390—21no—
448#390—21no—
449#390—21no—
450#390—21no—
451#390—21no—
452#390C2311yescharacteristic
453#390C2311yescharacteristic
454#390C2311yescharacteristic
455#390C2311yescharacteristic
456#390C2311yescharacteristic
457#390C2311yescharacteristic
458#390C2311yescharacteristic
459#390C2311yescharacteristic
460#389—21no—
461#389—21no—
462#389C2311yescharacteristic
463#389C2311yescharacteristic
464#389C2311yescharacteristic
465#389C2311yescharacteristic
466#389C2311yescharacteristic
467#389C2311yescharacteristic
468#389C2311yescharacteristic
469#388—21no—
470#388—21no—
471#388—21no—
472#388—21no—
473#388—21no—
474#388—21no—
475#388—21no—
476#387—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#386—21no—
485#385—21no—
486#385—21no—
487#385—21no—
488#385—21no—
489#385—21no—
490#385—21no—
491#382C2311yescharacteristic
492#380—21no—
493#380—21no—
494#380—21no—
495#380—21no—
496#380C2311yescharacteristic
497#380C2311yescharacteristic
498#380C2311yescharacteristic
499#379—21no—
500C4×C4⋊C4C2311yescharacteristic
501C4×C4⋊C4C2311yescharacteristic
502C4×C22⋊C4—21no—
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—
529C2×#41—22no—
530C2×#41—22no—
531C2×#41—22no—
532C2×#41—22no—
533C2×#41—22no—
534C2×#41—41no—
535C2×#41—41no—
536C2×#41—41no—
537C2×#41—44no—
538C2×#41—41no—
539C2×#41—41no—
540C2×#41—41no—
541C2×#41—41no—
542C2×#41—82no—
543C2×#41—82no—
544C22×Q8—21no—
545C22×Q8C2411yescharacteristic
546C22×D4—21no—
547C22×D4—22no—
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—21no—
562C22×D4—21no—
563C22×D4—22no—
564C22×D4—21no—
565C22×D4—21no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—21no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—21no—
576C22×D4—22no—
577C22×D4—41no—
578C22×D4—41no—
579C22×D4—41no—
580C22×D4—41no—
581C22×D4—41no—
582C22×D4—41no—
583C22×D4—41no—
584C22×D4—44no—
585C22×D4—82no—
586C22×D4—82no—
587C22×D4C2×D411yescharacteristic
588C22×D4C2×D411yescharacteristic
589C22×D4C2×D411yescharacteristic
590C22×D4C2411yescharacteristic
591C22×D4C2411yescharacteristic
592C22×D4C2411yescharacteristic
593C22×D4C2411yescharacteristic
594C22×D4C2411yescharacteristic
595C22×D4C2411yescharacteristic
596C23×C4—21no—
597C23×C4—21no—
598C23×C4—21no—
599C23×C4—21no—
600C23×C4—21no—
601C23×C4—21no—
602C23×C4—21no—
603C23×C4—21no—
604C23×C4C2411yescharacteristic
605C23×C4C2411yescharacteristic
606C23×C4C2411yescharacteristic
607C2×SD16—22no—
608C2×SD16—22no—
609C2×SD16—22no—
610C2×SD16—41no—
611C2×SD16—41no—
612C2×SD16—41no—
613C2×D8—22no—
614C2×D8—22no—
615C2×D8—22no—
616C2×D8—22no—
617C2×D8—22no—
618C2×D8—22no—
619C2×D8—22no—
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×D8—41no—
630C2×D8—41no—
631C2×D8—41no—
632C2×D8—41no—
633C2×D8—41no—
634C2×D8—41no—
635C2×D8—41no—
636C2×D8—41no—
637C2×M16—22no—
638C2×M16—41no—
639C2×M16—41no—
640C22×C8—22no—
641C22×C8—22no—
642C22×C8—22no—
643C22×C8—41no—
644C22×C8—41no—
645C22×C8—41no—
646C22×C8—41no—
647C22×C8—41no—
648C22×C8—41no—
649C22×C8C2411yescharacteristic
650C22×C8C2411yescharacteristic
651C22×C8C2411yescharacteristic
652C22×C8C2411yescharacteristic
653C22×C8C2411yescharacteristic
654C22×C8C2411yescharacteristic
655C22×C8C2411yescharacteristic
656C22×C8C2411yescharacteristic
657C4⋊Q8—22no—
658C4⋊Q8—41no—
659#127—22no—
660#127—22no—
661#127—22no—
662#127—41no—
663#127—41no—
664#127—41no—
665#127—41no—
666#127—41no—
667#127—41no—
668#127—41no—
669#127—44no—
670#127—82no—
671#126—44no—
672#125—22no—
673#125—41no—
674#124—22no—
675#124—22no—
676#124—22no—
677#124—41no—
678#123—44no—
679#123—44no—
680#123—44no—
681#123—44no—
682C22⋊Q8—22no—
683C22⋊Q8—44no—
684C22⋊Q8—41no—
685C22⋊Q8—82no—
686#121—22no—
687#121—22no—
688#121—22no—
689#121—22no—
690#121—22no—
691#121—22no—
692#121—22no—
693#121—22no—
694#121—22no—
695#121—22no—
696#121—44no—
697#121—44no—
698#121—44no—
699#121—44no—
700#121—44no—
701#121—44no—
702#121—41no—
703#121—41no—
704#121—41no—
705#121—41no—
706#121—41no—
707#121—44no—
708#121—41no—
709#121—41no—
710#121—41no—
711#121—41no—
712#121—41no—
713#121—41no—
714#121—41no—
715#121—41no—
716#121—82no—
717#121—82no—
718#121—82no—
719#121—82no—
720#121—82no—
721#121—82no—
722#121C2×D414yes—
723#120—44no—
724#120—44no—
725#120—44no—
726#120—44no—
727#120—44no—
728#120—82no—
729#120—82no—
730#120—82no—
731C4×Q8—22no—
732C4×Q8—41no—
733C4×D4—22no—
734C4×D4—22no—
735C4×D4—22no—
736C4×D4—22no—
737C4×D4—22no—
738C4×D4—22no—
739C4×D4—22no—
740C4×D4—41no—
741C4×D4—41no—
742C4×D4—41no—
743C4×D4—41no—
744C4×D4—41no—
745C4×D4—41no—
746C4×D4—41no—
747C4×D4—44no—
748C4×D4—44no—
749#117—22no—
750#117—41no—
751#117—41no—
752#117—41no—
753#117—41no—
754#117—41no—
755C2×C4⋊C4—21no—
756C2×C4⋊C4—22no—
757C2×C4⋊C4—22no—
758C2×C4⋊C4—21no—
759C2×C4⋊C4—21no—
760C2×C4⋊C4—21no—
761C2×C4⋊C4—21no—
762C2×C4⋊C4—21no—
763C2×C4⋊C4—21no—
764C2×C4⋊C4—21no—
765C2×C4⋊C4—21no—
766C2×C4⋊C4—21no—
767C2×C4⋊C4—21no—
768C2×C4⋊C4—21no—
769C2×C4⋊C4—21no—
770C2×C4⋊C4—21no—
771C2×C4⋊C4—41no—
772C2×C4⋊C4C2×D411yescharacteristic
773C2×C4⋊C4C2×D411yescharacteristic
774C2×C4⋊C4C2×D411yescharacteristic
775C2×C4⋊C4C2×D414yes—
776C2×C4⋊C4C2×D411yescharacteristic
777C2×C4⋊C4C2×D411yescharacteristic
778C2×C4⋊C4C2×D411yescharacteristic
779C2×C4⋊C4C2×D411yescharacteristic
780C2×C4⋊C4C2411yescharacteristic
781C2×C4⋊C4C2411yescharacteristic
782C2×C4⋊C4C2411yescharacteristic
783C2×C4⋊C4C2411yescharacteristic
784C2×C4⋊C4C2411yescharacteristic
785C2×C4⋊C4C2411yescharacteristic
786C2×C4⋊C4C2411yescharacteristic
787C2×C4⋊C4C2411yescharacteristic
788C2×C4⋊C4C2411yescharacteristic
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—21no—
824C2×C22⋊C4—21no—
825C2×C22⋊C4—21no—
826C2×C22⋊C4—21no—
827C2×C22⋊C4—21no—
828C2×C22⋊C4—21no—
829C2×C22⋊C4—21no—
830C2×C22⋊C4—21no—
831C2×C22⋊C4—44no—
832C2×C22⋊C4C2×D411yescharacteristic
833C2×C22⋊C4C2×D411yescharacteristic
834C2×C22⋊C4C2×D411yescharacteristic
835C2×C22⋊C4C2×D411yescharacteristic
836C2×C22⋊C4C2×D411yescharacteristic
837C2×C22⋊C4C2×D411yescharacteristic
838C2×C22⋊C4C2×D411yescharacteristic
839C2×C22⋊C4C2×D411yescharacteristic
840C2×C22⋊C4C2×D411yescharacteristic
841C2×C22⋊C4C2×D411yescharacteristic
842C2×C22⋊C4C2×D411yescharacteristic
843C2×C22⋊C4C2×D411yescharacteristic
844C2×C42—21no—
845C2×C42—21no—
846C2×C42—21no—
847C2×C42—21no—
848C2×C42C2411yescharacteristic
849C2×C42C2411yescharacteristic
850C2×C42C2411yescharacteristic
851C2×C42C2411yescharacteristic
852#107—22no—
853#107—41no—
854#107C2×D414yes—
855#107C2×D414yes—
856#106—22no—
857#106—41no—
858C4⋊C8—22no—
859C4⋊C8—22no—
860#103—22no—
861#103—22no—
862#103—22no—
863#103—22no—
864#103—22no—
865#103—41no—
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—22no—
878#102—22no—
879#102—22no—
880#102—22no—
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#102—41no—
890#102—41no—
891#102—41no—
892#102—41no—
893#102—41no—
894#102C2×D414yes—
895#102C2×D414yes—
896C22⋊C8—22no—
897C22⋊C8—22no—
898C22⋊C8—22no—
899C22⋊C8—41no—
900C22⋊C8—41no—
901C22⋊C8—41no—
902C22⋊C8—41no—
903C22⋊C8C2×D414yes—
904#97—22no—
905#97—41no—
906C4×C8—22no—
907C4×C8—41no—
908#95—21no—
909#95—21no—
910#95—21no—
911#95—21no—
912#95—21no—
913#95—21no—
914#95—21no—
915#95—21no—
916#95—21no—
917#95—21no—
918#95—21no—
919#95—21no—
920#95—21no—
921#95—21no—
922#95—21no—
923#95C2×D411yescharacteristic
924#95C2×D411yescharacteristic
925#95C2×D411yescharacteristic
926#95C2×D411yescharacteristic
927#95C2×D411yescharacteristic
928#95C2×D411yescharacteristic
929C24—21no—
930C24—21no—
931C24—21no—
932C24—21no—
933C24—21no—
934C24—21no—
935C24—42no—
936C24—42no—
937C24—42no—
938C24—42no—
939C24—42no—
940C24—81no—
941C24—81no—
942C24—81no—
943C24—81no—
944C24—81no—
945C24—81no—
946C24—81no—
947C24—81no—
948C24—81no—
949C24C22×D411yescharacteristic
950C24C22×D411yescharacteristic
951C24C22×D411yescharacteristic
952#41—44no—
953#41—44no—
954#41—44no—
955#41—82no—
956#41—82no—
957#41—82no—
958#41—82no—
959#41—82no—
960#41—816no—
961C2×Q8—21no—
962C2×Q8—21no—
963C2×Q8—21no—
964C2×Q8—21no—
965C2×Q8—21no—
966C2×Q8—42no—
967C2×Q8—42no—
968C2×Q8—81no—
969C2×Q8H(5,𝔽2)12yes—
970C2×D4—22no—
971C2×D4—22no—
972C2×D4—22no—
973C2×D4—24no—
974C2×D4—22no—
975C2×D4—22no—
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—21no—
1001C2×D4—21no—
1002C2×D4—21no—
1003C2×D4—21no—
1004C2×D4—21no—
1005C2×D4—21no—
1006C2×D4—21no—
1007C2×D4—21no—
1008C2×D4—21no—
1009C2×D4—21no—
1010C2×D4—44no—
1011C2×D4—44no—
1012C2×D4—41no—
1013C2×D4—41no—
1014C2×D4—41no—
1015C2×D4—41no—
1016C2×D4—42no—
1017C2×D4—42no—
1018C2×D4—42no—
1019C2×D4—42no—
1020C2×D4—42no—
1021C2×D4—42no—
1022C2×D4—42no—
1023C2×D4—42no—
1024C2×D4—42no—
1025C2×D4—42no—
1026C2×D4—42no—
1027C2×D4—42no—
1028C2×D4—42no—
1029C2×D4—42no—
1030C2×D4—42no—
1031C2×D4—42no—
1032C2×D4—42no—
1033C2×D4—42no—
1034C2×D4—44no—
1035C2×D4—42no—
1036C2×D4—42no—
1037C2×D4—42no—
1038C2×D4—42no—
1039C2×D4—42no—
1040C2×D4—42no—
1041C2×D4—42no—
1042C2×D4—42no—
1043C2×D4—42no—
1044C2×D4—42no—
1045C2×D4—42no—
1046C2×D4—82no—
1047C2×D4—82no—
1048C2×D4—81no—
1049C2×D4—81no—
1050C2×D4—81no—
1051C2×D4—81no—
1052C2×D4—81no—
1053C2×D4—81no—
1054C2×D4—81no—
1055C2×D4—81no—
1056C2×D4—81no—
1057C2×D4—81no—
1058C2×D4—81no—
1059C2×D4—81no—
1060C2×D4—81no—
1061C2×D4—81no—
1062C2×D4—81no—
1063C2×D4—81no—
1064C2×D4—81no—
1065C2×D4—81no—
1066C2×D4—81no—
1067C2×D4—81no—
1068C2×D4—81no—
1069C2×D4—81no—
1070C2×D4—82no—
1071C2×D4—82no—
1072C2×D4—82no—
1073C2×D4—81no—
1074C2×D4—81no—
1075C2×D4—81no—
1076C2×D4—81no—
1077C2×D4—81no—
1078C2×D4—81no—
1079C2×D4—81no—
1080C2×D4—81no—
1081C2×D4—81no—
1082C2×D4—81no—
1083C2×D4—81no—
1084C2×D4—81no—
1085C2×D4—81no—
1086C2×D4—81no—
1087C2×D4—81no—
1088C2×D4—81no—
1089C2×D4—81no—
1090C2×D4—81no—
1091C2×D4—81no—
1092C2×D4—81no—
1093C2×D4—81no—
1094C2×D4—81no—
1095C2×D4—81no—
1096C2×D4—81no—
1097C2×D4—81no—
1098C2×D4—81no—
1099C2×D4—816no—
1100C2×D4C22×D412yes—
1101C2×D4H(5,𝔽2)12yes—
1102C22×C4—21no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—21no—
1106C22×C4—21no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—24no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—21no—
1117C22×C4—21no—
1118C22×C4—21no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—21no—
1128C22×C4—21no—
1129C22×C4—42no—
1130C22×C4—42no—
1131C22×C4—42no—
1132C22×C4—42no—
1133C22×C4—42no—
1134C22×C4—42no—
1135C22×C4—42no—
1136C22×C4—42no—
1137C22×C4—42no—
1138C22×C4—42no—
1139C22×C4—42no—
1140C22×C4—42no—
1141C22×C4—81no—
1142C22×C4—81no—
1143C22×C4—81no—
1144C22×C4—81no—
1145C22×C4—81no—
1146C22×C4—81no—
1147C22×C4—81no—
1148C22×C4—81no—
1149C22×C4—81no—
1150C22×C4—81no—
1151C22×C4—81no—
1152C22×C4C22×D411yescharacteristic
1153C22×C4C22×D411yescharacteristic
1154C22×C4C22×D411yescharacteristic
1155C22×C4C22×D411yescharacteristic
1156C22×C4C22×D411yescharacteristic
1157C22×C4C22×D411yescharacteristic
1158C22×C4C22×D411yescharacteristic
1159C22×C4C22×D411yescharacteristic
1160C22×C4C22×D411yescharacteristic
1161C22×C4C22×D411yescharacteristic
1162C22×C4C22×D412yes—
1163C22×C4C22×D411yescharacteristic
1164C22×C4H(5,𝔽2)12yes—
1165C22×C4C2511yescharacteristic
1166SD16—44no—
1167SD16—82no—
1168D8—44no—
1169D8—82no—
1170D8—82no—
1171D8—82no—
1172D8—82no—
1173D8—82no—
1174D8—82no—
1175D8—82no—
1176M16—82no—
1177C2×C8—21no—
1178C2×C8—21no—
1179C2×C8—21no—
1180C2×C8—21no—
1181C2×C8—21no—
1182C2×C8—21no—
1183C2×C8—21no—
1184C2×C8—21no—
1185C2×C8—21no—
1186C2×C8—21no—
1187C2×C8—21no—
1188C2×C8—21no—
1189C2×C8—21no—
1190C2×C8—21no—
1191C2×C8—21no—
1192C2×C8—21no—
1193C2×C8—21no—
1194C2×C8—21no—
1195C2×C8—21no—
1196C2×C8—21no—
1197C2×C8—21no—
1198C2×C8—21no—
1199C2×C8—82no—
1200C2×C8—82no—
1201C2×C8—82no—
1202C2×C8C22×D412yes—
1203C2×C8C22×D412yes—
1204C4⋊C4—24no—
1205C4⋊C4—22no—
1206C4⋊C4—22no—
1207C4⋊C4—22no—
1208C4⋊C4—21no—
1209C4⋊C4—21no—
1210C4⋊C4—21no—
1211C4⋊C4—21no—
1212C4⋊C4—21no—
1213C4⋊C4—21no—
1214C4⋊C4—21no—
1215C4⋊C4—21no—
1216C4⋊C4—21no—
1217C4⋊C4—21no—
1218C4⋊C4—21no—
1219C4⋊C4—21no—
1220C4⋊C4—21no—
1221C4⋊C4—21no—
1222C4⋊C4—21no—
1223C4⋊C4—41no—
1224C4⋊C4—41no—
1225C4⋊C4—41no—
1226C4⋊C4—41no—
1227C4⋊C4—42no—
1228C4⋊C4—42no—
1229C4⋊C4—42no—
1230C4⋊C4—42no—
1231C4⋊C4—42no—
1232C4⋊C4—42no—
1233C4⋊C4—81no—
1234C4⋊C4—81no—
1235C4⋊C4—81no—
1236C4⋊C4—81no—
1237C4⋊C4—81no—
1238C4⋊C4—81no—
1239C4⋊C4—81no—
1240C4⋊C4C22×D412yes—
1241C4⋊C4C22×D412yes—
1242C4⋊C4C22×D412yes—
1243C22⋊C4—24no—
1244C22⋊C4—24no—
1245C22⋊C4—22no—
1246C22⋊C4—22no—
1247C22⋊C4—22no—
1248C22⋊C4—24no—
1249C22⋊C4—22no—
1250C22⋊C4—22no—
1251C22⋊C4—22no—
1252C22⋊C4—41no—
1253C22⋊C4—41no—
1254C22⋊C4—41no—
1255C22⋊C4—41no—
1256C22⋊C4—41no—
1257C22⋊C4—41no—
1258C22⋊C4—42no—
1259C22⋊C4—42no—
1260C22⋊C4—42no—
1261C22⋊C4—42no—
1262C22⋊C4—42no—
1263C22⋊C4—42no—
1264C22⋊C4—42no—
1265C22⋊C4—42no—
1266C22⋊C4—42no—
1267C22⋊C4—42no—
1268C22⋊C4—42no—
1269C22⋊C4—42no—
1270C22⋊C4—42no—
1271C22⋊C4—42no—
1272C22⋊C4—42no—
1273C22⋊C4—42no—
1274C22⋊C4—42no—
1275C22⋊C4—42no—
1276C22⋊C4—42no—
1277C22⋊C4—81no—
1278C22⋊C4—81no—
1279C22⋊C4—81no—
1280C22⋊C4—81no—
1281C22⋊C4—81no—
1282C22⋊C4—81no—
1283C22⋊C4—81no—
1284C22⋊C4—81no—
1285C22⋊C4—81no—
1286C22⋊C4—81no—
1287C22⋊C4—81no—
1288C22⋊C4—81no—
1289C22⋊C4—81no—
1290C22⋊C4—81no—
1291C22⋊C4—81no—
1292C22⋊C4—81no—
1293C22⋊C4—81no—
1294C22⋊C4—81no—
1295C22⋊C4—81no—
1296C22⋊C4—81no—
1297C42—21no—
1298C42—21no—
1299C42—21no—
1300C42—21no—
1301C42—21no—
1302C42—21no—
1303C42—21no—
1304C42—21no—
1305C42—42no—
1306C42—42no—
1307C42—81no—
1308C42—81no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—22no—
1325C23—22no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—41no—
1331C23—41no—
1332C23—41no—
1333C23—41no—
1334C23—41no—
1335C23—41no—
1336C23—41no—
1337C23—41no—
1338C23—41no—
1339C23—41no—
1340C23—41no—
1341C23—41no—
1342C23—41no—
1343C23—41no—
1344C23—41no—
1345C23—41no—
1346C23—41no—
1347C23—41no—
1348C23—41no—
1349C23—41no—
1350C23—41no—
1351C23—41no—
1352C23—41no—
1353C23—41no—
1354C23—41no—
1355C23—41no—
1356C23—41no—
1357C23—41no—
1358C23—41no—
1359C23—41no—
1360C23—41no—
1361C23—41no—
1362C23—41no—
1363C23—41no—
1364C23—41no—
1365C23—41no—
1366C23—41no—
1367C23—41no—
1368C23—41no—
1369C23—41no—
1370C23—84no—
1371C23—84no—
1372C23—84no—
1373C23—84no—
1374C23—84no—
1375C23—162no—
1376C23—162no—
1377C23—162no—
1378C23—162no—
1379C23—162no—
1380C23—162no—
1381C23—162no—
1382C23—162no—
1383C23—162no—
1384C23D4212yes—
1385C23#57612yes—
1386C23C23×D411yescharacteristic
1387Q8—22no—
1388Q8—22no—
1389Q8—41no—
1390Q8—41no—
1391Q8—84no—
1392D4—28no—
1393D4—22no—
1394D4—22no—
1395D4—22no—
1396D4—22no—
1397D4—41no—
1398D4—41no—
1399D4—41no—
1400D4—41no—
1401D4—41no—
1402D4—41no—
1403D4—41no—
1404D4—41no—
1405D4—41no—
1406D4—41no—
1407D4—41no—
1408D4—41no—
1409D4—41no—
1410D4—41no—
1411D4—41no—
1412D4—41no—
1413D4—41no—
1414D4—41no—
1415D4—41no—
1416D4—41no—
1417D4—84no—
1418D4—84no—
1419D4—82no—
1420D4—82no—
1421D4—84no—
1422D4—84no—
1423D4—84no—
1424D4—84no—
1425D4—84no—
1426D4—84no—
1427D4—84no—
1428D4—84no—
1429D4—84no—
1430D4—162no—
1431D4—162no—
1432D4—162no—
1433D4—162no—
1434D4—162no—
1435D4—162no—
1436D4—162no—
1437D4—162no—
1438D4—162no—
1439D4—162no—
1440D4—162no—
1441D4—162no—
1442D4—162no—
1443D4—162no—
1444D4—162no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—41no—
1485C2×C4—41no—
1486C2×C4—41no—
1487C2×C4—41no—
1488C2×C4—41no—
1489C2×C4—41no—
1490C2×C4—41no—
1491C2×C4—41no—
1492C2×C4—41no—
1493C2×C4—41no—
1494C2×C4—41no—
1495C2×C4—41no—
1496C2×C4—41no—
1497C2×C4—41no—
1498C2×C4—41no—
1499C2×C4—41no—
1500C2×C4—41no—
1501C2×C4—41no—
1502C2×C4—41no—
1503C2×C4—41no—
1504C2×C4—41no—
1505C2×C4—41no—
1506C2×C4—41no—
1507C2×C4—41no—
1508C2×C4—41no—
1509C2×C4—41no—
1510C2×C4—41no—
1511C2×C4—41no—
1512C2×C4—41no—
1513C2×C4—41no—
1514C2×C4—41no—
1515C2×C4—41no—
1516C2×C4—41no—
1517C2×C4—41no—
1518C2×C4—84no—
1519C2×C4—84no—
1520C2×C4—84no—
1521C2×C4—84no—
1522C2×C4—84no—
1523C2×C4—84no—
1524C2×C4—162no—
1525C2×C4—162no—
1526C2×C4D4212yes—
1527C2×C4#57612yes—
1528C2×C4C23×D411yescharacteristic
1529C2×C4C2×H(5,𝔽2)11yescharacteristic
1530C2×C4C2×H(5,𝔽2)11yescharacteristic
1531C2×C4C2×H(5,𝔽2)11yescharacteristic
1532C2×C4#58511yescharacteristic
1533C2×C4#58511yescharacteristic
1534C8—22no—
1535C8—22no—
1536C8—41no—
1537C8—41no—
1538C8—41no—
1539C8—41no—
1540C8—41no—
1541C8—41no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—42no—
1559C22—42no—
1560C22—42no—
1561C22—41no—
1562C22—41no—
1563C22—42no—
1564C22—41no—
1565C22—41no—
1566C22—42no—
1567C22—41no—
1568C22—42no—
1569C22—81no—
1570C22—81no—
1571C22—81no—
1572C22—81no—
1573C22—81no—
1574C22—81no—
1575C22—81no—
1576C22—81no—
1577C22—81no—
1578C22—81no—
1579C22—81no—
1580C22—81no—
1581C22—81no—
1582C22—81no—
1583C22—81no—
1584C22—81no—
1585C22—81no—
1586C22—81no—
1587C22—81no—
1588C22—81no—
1589C22—81no—
1590C22—81no—
1591C22—81no—
1592C22—81no—
1593C22—81no—
1594C22—81no—
1595C22—81no—
1596C22—81no—
1597C22—81no—
1598C22—81no—
1599C22—81no—
1600C22—81no—
1601C22—81no—
1602C22—81no—
1603C22—81no—
1604C22—81no—
1605C22—168no—
1606C22—168no—
1607C22C2×D4211yescharacteristic
1608C22#348411yescharacteristic
1609C22#350011yescharacteristic
1610C22C2×#57611yescharacteristic
1611C22C2×#57611yescharacteristic
1612C22#358411yescharacteristic
1613C22#358511yescharacteristic
1614C4—22no—
1615C4—22no—
1616C4—41no—
1617C4—41no—
1618C4—42no—
1619C4—41no—
1620C4—42no—
1621C4—42no—
1622C4—42no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—41no—
1629C4—81no—
1630C4—81no—
1631C4—81no—
1632C4—81no—
1633C4—81no—
1634C4—81no—
1635C4#348811yescharacteristic
1636C4#348811yescharacteristic
1637C4#353411yescharacteristic
1638C4#353411yescharacteristic
1639C2—42no—
1640C2—42no—
1641C2—81no—
1642C2—82no—
1643C2—82no—
1644C2—161no—
1645C2—161no—
1646C2—161no—
1647C2—161no—
1648C2#4388911yescharacteristic
1649C2#6104911yescharacteristic
1650C2#6107711yescharacteristic
1651C2#6163911yescharacteristic
1652C2#6168811yescharacteristic
1653C2#6256111yescharacteristic
1654C2#6259811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2392 ◁ 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×#3294C2semidirect
3. #44927C2semidirect
4. #42476C2semidirect
5. #31145C2semidirect
6. #31124C2semidirect
7. #30890C2semidirect
8. #30874C2semidirect
9. #30714C2semidirect
10. #30701C2semidirect
11. #30462C2semidirect
12. #30444C2semidirect
13. #28584C2semidirect
14. #27264C2semidirect
15. #27257C2semidirect
16. #26916C2semidirect
17. #26891C2semidirect
18. #25734C2semidirect
19. #25422C2semidirect
20. #25414C2semidirect
21. #25116C2semidirect
22. #25115C2semidirect
23. #24440C2semidirect
24. #24435C2semidirect
25. #24434C2semidirect
26. #24428C2semidirect
27. #23972C2semidirect
28. #23963C2semidirect
29. #23511C2semidirect
30. #23123C2semidirect
31. #22093C2semidirect
32. C2×#553C22semidirect
40. C2×#496C22semidirect
42. C2×#490C22semidirect
44. C2×#482C22semidirect
47. C2×#479C22semidirect
53. C2×#466C22semidirect
54. C2×#465C22semidirect
56. C2×#459C22semidirect
57. C2×#449C22semidirect
58. C2×#449C22semidirect
59. C2×#449C22semidirect
60. C2×#449C22semidirect
65. C2×#440C22semidirect
67. C2×#435C22semidirect
69. C2×#417C22semidirect
71. C2×#416C22semidirect
72. C2×#416C22semidirect
85. #2619C22semidirect
90. #2454C22semidirect
91. #2452C22semidirect
92. #2442C22semidirect
93. #2439C22semidirect
98. #2428C22semidirect
99. #2428C22semidirect
102. #2416C22semidirect
104. #2414C22semidirect
105. #2414C22semidirect
113. #2316C22semidirect
114. #2085C22semidirect
115. #2073C22semidirect
116. #2067C22semidirect
117. #2065C22semidirect
118. #2055C22semidirect
122. #2042C22semidirect
123. #2042C22semidirect
127. #2041C22semidirect
128. #2041C22semidirect
129. #2041C22semidirect
130. #2041C22semidirect
131. #2036C22semidirect
134. #2033C22semidirect
136. #2025C22semidirect
137. #2024C22semidirect
138. #2023C22semidirect
142. #2011C22semidirect
143. #2011C22semidirect
144. #2011C22semidirect
145. #2011C22semidirect
146. #2000C22semidirect
149. #1999C22semidirect
150. #1999C22semidirect
151. #1999C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1972C22semidirect
155. #1970C22semidirect
157. #1958C22semidirect
158. #1943C22semidirect
159. #1942C22semidirect
161. #1936C22semidirect
162. #1934C22semidirect
163. #1933C22semidirect
164. #1926C22semidirect
165. #1925C22semidirect
166. #1924C22semidirect
167. #1923C22semidirect
168. #1921C22semidirect
169. #1918C22semidirect
170. #1917C22semidirect
171. #1916C22semidirect
172. #1895C22semidirect
173. #1893C22semidirect
174. #1893C22semidirect
175. #1893C22semidirect
176. #1880C22semidirect
179. #1879C22semidirect
180. #1879C22semidirect
181. #1879C22semidirect
182. #1879C22semidirect
183. #1877C22semidirect
186. #1875C22semidirect
187. #1874C22semidirect
188. #1872C22semidirect
190. #1869C22semidirect
191. #1869C22semidirect
192. #1869C22semidirect
194. #1864C22semidirect
195. #1863C22semidirect
196. #1862C22semidirect
197. #1854C22semidirect
198. #1824C22semidirect
199. #1788C22semidirect
201. #1752C22semidirect
202. C8×C22⋊C4C22semidirect
203. #1750C22semidirect
204. #1729C22semidirect
311. #480D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33092
C2×#32942
#449272
#424762
#311452
#311242
#308902
#308742
#307142
#307012
#304622
#304442
#285842
#272642
#272572
#269162
#268912
#257342
#254222
#254142
#251162
#251152
#244402
#244352
#244342
#244282
#239722
#239632
#235112
#231232
#220932