Finite Group Databasebeta

← #7566097

Subgroups — #7566097

Order 512.

2311 conjugacy classes of subgroups.

The subgroup lattice has 1604 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3318C211yesmaximal, characteristic, complemented
2C2×#3136C211yesmaximal, characteristic, complemented
3#44973C211yesmaximal, characteristic, complemented
4#44877C211yesmaximal, characteristic, complemented
5#30655C211yesmaximal, characteristic, complemented
6#30646C211yesmaximal, characteristic, complemented
7#30539C211yesmaximal, characteristic, complemented
8#30535C211yesmaximal, characteristic, complemented
9#28921C211yesmaximal, characteristic, complemented
10#28906C211yesmaximal, characteristic, complemented
11#28612C211yesmaximal, characteristic, complemented
12#28430C211yesmaximal, characteristic, complemented
13#27271C211yesmaximal, characteristic, complemented
14#27254C211yesmaximal, characteristic, complemented
15#25881C211yesmaximal, characteristic, complemented
16#25575C211yesmaximal, characteristic, complemented
17#25318C211yesmaximal, characteristic, complemented
18#25280C211yesmaximal, characteristic, complemented
19#25133C211yesmaximal, characteristic, complemented
20#25116C211yesmaximal, characteristic, complemented
21#24870C211yesmaximal, characteristic, complemented
22#24865C211yesmaximal, characteristic, complemented
23#24428C211yesmaximal, characteristic, complemented
24#24424C211yesmaximal, characteristic, complemented
25#24309C211yesmaximal, characteristic, complemented
26#24218C211yesmaximal, characteristic, complemented
27#23229C211yesmaximal, characteristic, complemented
28#22428C211yesmaximal, characteristic, complemented
29#22419C211yesmaximal, characteristic, complemented
30#21529C211yesmaximal, characteristic, complemented
31#21496C211yesmaximal, characteristic, complemented
32C2×#553C2211yescharacteristic, complemented
33C2×#546C2211yescharacteristic
34C2×D42C2211yescharacteristic
35C2×D42C2211yescharacteristic
36C2×#544C2211yescharacteristic, complemented
37C2×#535C2211yescharacteristic
38#3318—28no—
39#3136—28no—
40C2×#490C2211yescharacteristic
41C2×#490C2211yescharacteristic, complemented
42C2×#489C2211yescharacteristic, complemented
43C2×#489C2211yescharacteristic, complemented
44C2×#488C2211yescharacteristic, complemented
45C2×#488C2211yescharacteristic, complemented
46C2×#486C2211yescharacteristic
47C2×#486C2211yescharacteristic, complemented
48C2×#481C2211yescharacteristic
49C2×#482C2211yescharacteristic, complemented
50C2×#478C2211yescharacteristic, complemented
51C2×#476C2211yescharacteristic, complemented
52C2×#469C2211yescharacteristic, complemented
53C2×#466C2211yescharacteristic
54C2×#466C2211yescharacteristic
55C2×#463C2211yescharacteristic, complemented
56C2×#459C2211yescharacteristic
57C2×#449C2211yescharacteristic, complemented
58C2×#447C2211yescharacteristic
59C2×#447C2211yescharacteristic, complemented
60C2×#447C2211yescharacteristic, complemented
61C2×#442C2211yescharacteristic, complemented
62C2×#436C2211yescharacteristic, complemented
63C2×#435C2211yescharacteristic, complemented
64C2×#435C2211yescharacteristic, complemented
65C2×#417C2211yescharacteristic, complemented
66C2×#418C2211yescharacteristic
67C2×#418C2211yescharacteristic, complemented
68C2×#416C2211yescharacteristic, complemented
69C22×#102C2211yescharacteristic, complemented
70C22×#102C2211yescharacteristic, complemented
71C2×#405C2211yescharacteristic, complemented
72#2723—21no—
73#2711—21no—
74#2681—21no—
75#2679—21no—
76#2678—21no—
77#2674—21no—
78#2671—21no—
79#2668—21no—
80#2563C2211yescharacteristic, complemented
81#2544C2211yescharacteristic
82#2542C2211yescharacteristic, complemented
83#2540—21no—
84#2540C2211yescharacteristic
85#2519—21no—
86#2491C2211yescharacteristic, complemented
87#2490C2211yescharacteristic, complemented
88#2463—21no—
89#2452—21no—
90#2441C2211yescharacteristic, complemented
91#2440C2211yescharacteristic, complemented
92#2435C2211yescharacteristic
93#2433C2211yescharacteristic
94#2428C2211yescharacteristic
95#2427C2211yescharacteristic
96#2424—21no—
97#2416C2211yescharacteristic, complemented
98#2414C2211yescharacteristic, complemented
99#2410—21no—
100#2408—21no—
101#2408C2211yescharacteristic
102#2407C2211yescharacteristic
103#2403—21no—
104#2392C2211yescharacteristic
105#2370C2211yescharacteristic, complemented
106#2366C2211yescharacteristic
107#2354C2211yescharacteristic, complemented
108D4×C4⋊C4C2211yescharacteristic, complemented
109#2324C2211yescharacteristic
110#2324C2211yescharacteristic, complemented
111#2096C2211yescharacteristic, complemented
112#2094C2211yescharacteristic, complemented
113#2071C2211yescharacteristic, complemented
114#2071C2211yescharacteristic, complemented
115#2067C2211yescharacteristic, complemented
116#2066C2211yescharacteristic, complemented
117#2059C2211yescharacteristic, complemented
118#2058C2211yescharacteristic, complemented
119#2054C2211yescharacteristic, complemented
120#2054C2211yescharacteristic, complemented
121#2042C2211yescharacteristic, complemented
122#2042C2211yescharacteristic, complemented
123#2041C2211yescharacteristic
124#2041C2211yescharacteristic, complemented
125#2036C2211yescharacteristic, complemented
126#2035C2211yescharacteristic, complemented
127#2034C2211yescharacteristic
128#2034C2211yescharacteristic
129#2034C2211yescharacteristic, complemented
130#2034C2211yescharacteristic, complemented
131#2034C2211yescharacteristic, complemented
132#2033C2211yescharacteristic, complemented
133#2025C2211yescharacteristic, complemented
134#2023C2211yescharacteristic, complemented
135#2012C2211yescharacteristic, complemented
136#2012C2211yescharacteristic, complemented
137#2011C2211yescharacteristic
138#2011C2211yescharacteristic, complemented
139#2000C2211yescharacteristic, complemented
140#2000C2211yescharacteristic, complemented
141#1999C2211yescharacteristic, complemented
142#1999C2211yescharacteristic, complemented
143#1989C2211yescharacteristic, complemented
144#1988C2211yescharacteristic, complemented
145#1983C2211yescharacteristic, complemented
146#1983C2211yescharacteristic, complemented
147#1982C2211yescharacteristic
148#1982C2211yescharacteristic
149#1972C2211yescharacteristic, complemented
150#1972C2211yescharacteristic, complemented
151#1968C2211yescharacteristic, complemented
152#1959C2211yescharacteristic, complemented
153#1957C2211yescharacteristic
154#1954C2211yescharacteristic, complemented
155#1943C2211yescharacteristic, complemented
156#1939C2211yescharacteristic, complemented
157#1936C2211yescharacteristic, complemented
158#1934C2211yescharacteristic, complemented
159#1934C2211yescharacteristic, complemented
160#1934C2211yescharacteristic, complemented
161#1928C2211yescharacteristic, complemented
162#1926C2211yescharacteristic, complemented
163#1926C2211yescharacteristic, complemented
164#1926C2211yescharacteristic, complemented
165#1924C2211yescharacteristic, complemented
166#1924C2211yescharacteristic, complemented
167#1895C2211yescharacteristic
168#1895C2211yescharacteristic, complemented
169#1895C2211yescharacteristic, complemented
170#1894C2211yescharacteristic, complemented
171#1893C2211yescharacteristic, complemented
172#1892C2211yescharacteristic, complemented
173#1879C2211yescharacteristic, complemented
174#1879C2211yescharacteristic, complemented
175#1875C2211yescharacteristic
176#1875C2211yescharacteristic, complemented
177#1874C2211yescharacteristic
178#1874C2211yescharacteristic, complemented
179#1873C2211yescharacteristic, complemented
180#1872C2211yescharacteristic, complemented
181#1869C2211yescharacteristic, complemented
182#1869C2211yescharacteristic, complemented
183#1862C2211yescharacteristic, complemented
184#1862C2211yescharacteristic, complemented
185#1854C2211yescharacteristic, complemented
186#1853C2211yescharacteristic, complemented
187#1807C2211yescharacteristic, complemented
188#1802C2211yescharacteristic, complemented
189#1802C2211yescharacteristic, complemented
190#1798C2211yescharacteristic, complemented
191#1788C2211yescharacteristic, complemented
192#1786C2211yescharacteristic
193#1786C2211yescharacteristic
194#1786C2211yescharacteristic, complemented
195#1786C2211yescharacteristic, complemented
196#1786C2211yescharacteristic, complemented
197#1776C2211yescharacteristic, complemented
198#1771C2211yescharacteristic, complemented
199#1762C2211yescharacteristic, complemented
200C4×#102C2211yescharacteristic, complemented
201C4×#102C2211yescharacteristic, complemented
202C4×#102C2211yescharacteristic, complemented
203#1753C2211yescharacteristic, complemented
204C8×C22⋊C4C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C23×D4—21no—
207C23×D4—21no—
208C23×D4C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×M16C2311yescharacteristic
217C22×M16C2311yescharacteristic
218C23×C8C2311yescharacteristic
219C23×C8C2311yescharacteristic
220#553—24no—
221#553—42no—
222#546—24no—
223#546—42no—
224D42—24no—
225D42—24no—
226D42—42no—
227D42—42no—
228#544—24no—
229#544—42no—
230#535—24no—
231#535—42no—
232C2×C4⋊Q8—21no—
233C2×C4⋊Q8C2311yescharacteristic
234C2×C4⋊Q8C2311yescharacteristic
235C2×#127C2311yescharacteristic
236C2×#127C2311yescharacteristic
237C2×#127C2311yescharacteristic
238C2×#126—21no—
239C2×#125—21no—
240C2×#125C2311yescharacteristic
241C2×#125C2311yescharacteristic
242C2×#124—21no—
243C2×#124C2311yescharacteristic
244C2×#124C2311yescharacteristic
245C2×#124C2311yescharacteristic
246C2×#123—21no—
247C2×#123—21no—
248C2×C22⋊Q8—21no—
249C2×C22⋊Q8—21no—
250C2×C22⋊Q8—21no—
251C2×C22⋊Q8—21no—
252C2×C22⋊Q8—21no—
253C2×C22⋊Q8C2311yescharacteristic
254C2×C22⋊Q8C2311yescharacteristic
255C2×#121—21no—
256C2×#121—21no—
257C2×#121—21no—
258C2×#121—21no—
259C2×#121—21no—
260C2×#121—21no—
261C2×#121—21no—
262C2×#121—21no—
263C2×#121C2311yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#121C2311yescharacteristic
266C2×#121C2311yescharacteristic
267C2×#121C2311yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#120—21no—
272C2×#120—21no—
273C2×#120—21no—
274C2×#120—21no—
275C2×#120—21no—
276C2×#120—21no—
277C2×#120—21no—
278C2×#120—21no—
279C2×#120—21no—
280C2×#120—21no—
281C2×C4×D4—21no—
282C2×C4×D4—21no—
283C2×C4×D4—21no—
284C2×C4×D4C2311yescharacteristic
285C2×C4×D4C2311yescharacteristic
286C2×C4×D4C2311yescharacteristic
287C2×C4×D4C2311yescharacteristic
288C2×C4×D4C2311yescharacteristic
289C2×C4×D4C2311yescharacteristic
290C2×C4×D4C2311yescharacteristic
291C2×#117C2311yescharacteristic
292C2×#117C2311yescharacteristic
293C2×#117C2311yescharacteristic
294C22×C4⋊C4C2311yescharacteristic
295C22×C4⋊C4C2311yescharacteristic
296C22×C22⋊C4—21no—
297#490—24no—
298#490D418yescomplemented
299#489—24no—
300#489—24no—
301#488—24no—
302#488—24no—
303#486—24no—
304#486—24no—
305#482—24no—
306#481—24no—
307#478—24no—
308#476—42no—
309#469—24no—
310#466—24no—
311#466—24no—
312#463—42no—
313#459—24no—
314#449—42no—
315#447—24no—
316#447—24no—
317#447—42no—
318#442—24no—
319#436—42no—
320#435—24no—
321#435—42no—
322C2×#107C2311yescharacteristic
323C2×#107C2311yescharacteristic
324C2×#106C2311yescharacteristic
325C2×#106C2311yescharacteristic
326C2×#106C2311yescharacteristic
327C2×#106C2311yescharacteristic
328C2×#106C2311yescharacteristic
329C2×C4⋊C8C2311yescharacteristic
330C2×C4⋊C8C2311yescharacteristic
331C2×C4⋊C8C2311yescharacteristic
332C2×C4⋊C8C2311yescharacteristic
333#418—24no—
334#418—24no—
335#417—24no—
336#416—24no—
337C2×#103C2311yescharacteristic
338C2×#103C2311yescharacteristic
339C2×#103C2311yescharacteristic
340C2×#103C2311yescharacteristic
341C2×#103C2311yescharacteristic
342C2×#103C2311yescharacteristic
343C2×#103C2311yescharacteristic
344C2×#102—24no—
345C2×#102—24no—
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×#102C2311yescharacteristic
370C2×#102C2311yescharacteristic
371C2×#102C2311yescharacteristic
372C2×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×C22⋊C8C2311yescharacteristic
378C2×C22⋊C8C2311yescharacteristic
379C2×C22⋊C8C2311yescharacteristic
380C2×C22⋊C8C2311yescharacteristic
381C2×C22⋊C8C2311yescharacteristic
382C2×C22⋊C8C2311yescharacteristic
383C2×C22⋊C8C2311yescharacteristic
384C2×C22⋊C8C2311yescharacteristic
385#405—24no—
386C2×#97C2311yescharacteristic
387C2×#97C2311yescharacteristic
388C2×#97C2311yescharacteristic
389C2×C4×C8C2311yescharacteristic
390C2×C4×C8C2311yescharacteristic
391C2×C4×C8C2311yescharacteristic
392#399—21no—
393#399—21no—
394#399—21no—
395#399—21no—
396#398—21no—
397#398D411yescharacteristic
398#397—21no—
399#397—21no—
400#397D411yescharacteristic
401#396—21no—
402#396—21no—
403#396D411yescharacteristic
404#396D411yescharacteristic
405#395—21no—
406#394—21no—
407#394—21no—
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#394D411yescharacteristic
419#394D411yescharacteristic
420#394D411yescharacteristic
421#393—21no—
422#393—21no—
423#393—21no—
424#392—21no—
425#392—21no—
426#392—21no—
427#392—21no—
428#392—21no—
429#392—21no—
430#392—21no—
431#392D411yescharacteristic
432#391C2311yescharacteristic
433#390—21no—
434#390—21no—
435#390—21no—
436#390—21no—
437#390—21no—
438#390—21no—
439#390—21no—
440#390—21no—
441#390—21no—
442#390C2311yescharacteristic
443#390C2311yescharacteristic
444#390C2311yescharacteristic
445#390C2311yescharacteristic
446#390C2311yescharacteristic
447#390C2311yescharacteristic
448#390C2311yescharacteristic
449#389—21no—
450#389—21no—
451#389—21no—
452#389C2311yescharacteristic
453#389C2311yescharacteristic
454#389C2311yescharacteristic
455#389C2311yescharacteristic
456#388—21no—
457#388—21no—
458#388—21no—
459#388—21no—
460#388—21no—
461#388—21no—
462#388—21no—
463#387—21no—
464#387—21no—
465#387—21no—
466#386—21no—
467#386—21no—
468#386—21no—
469#386—21no—
470#386—21no—
471#386—21no—
472#386—21no—
473#386—21no—
474#386—21no—
475#386—21no—
476#385—21no—
477#385—21no—
478#385—21no—
479#385—21no—
480#385—21no—
481#385—21no—
482#384C2311yescharacteristic
483#384C2311yescharacteristic
484#382—21no—
485#380—21no—
486#380C2311yescharacteristic
487#380C2311yescharacteristic
488#380C2311yescharacteristic
489#380C2311yescharacteristic
490#380C2311yescharacteristic
491#380C2311yescharacteristic
492#379—21no—
493#379—21no—
494#379—21no—
495C4×C4⋊C4—21no—
496C4×C4⋊C4—21no—
497C4×C4⋊C4C2311yescharacteristic
498C4×C4⋊C4C2311yescharacteristic
499C4×C4⋊C4C2311yescharacteristic
500C4×C4⋊C4C2311yescharacteristic
501C4×C4⋊C4C2311yescharacteristic
502C4×C22⋊C4C2311yescharacteristic
503C4×C22⋊C4C2311yescharacteristic
504#340C2311yescharacteristic
505#340C2311yescharacteristic
506#340C2311yescharacteristic
507#340C2311yescharacteristic
508#340C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#336C2311yescharacteristic
519#336C2311yescharacteristic
520#336C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524C25—21no—
525C25—21no—
526C25—21no—
527C2×#41—22no—
528C2×#41—22no—
529C2×#41—22no—
530C2×#41—41no—
531C2×#41—41no—
532C2×#41—41no—
533C22×Q8—21no—
534C22×Q8—21no—
535C22×Q8C2411yescharacteristic
536C22×D4—21no—
537C22×D4—22no—
538C22×D4—22no—
539C22×D4—22no—
540C22×D4—22no—
541C22×D4—22no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—21no—
551C22×D4—21no—
552C22×D4—21no—
553C22×D4—21no—
554C22×D4—21no—
555C22×D4—21no—
556C22×D4—21no—
557C22×D4—21no—
558C22×D4—21no—
559C22×D4—22no—
560C22×D4—22no—
561C22×D4—41no—
562C22×D4—41no—
563C22×D4—41no—
564C22×D4—41no—
565C22×D4—41no—
566C22×D4—41no—
567C22×D4—41no—
568C22×D4—41no—
569C22×D4—41no—
570C22×D4—41no—
571C22×D4—41no—
572C22×D4—44no—
573C22×D4—44no—
574C22×D4—82no—
575C22×D4—82no—
576C22×D4—82no—
577C22×D4—82no—
578C22×D4C2×D411yescharacteristic
579C22×D4C2×D411yescharacteristic
580C22×D4C2×D411yescharacteristic
581C22×D4C2411yescharacteristic
582C22×D4C2411yescharacteristic
583C22×D4C2411yescharacteristic
584C22×D4C2411yescharacteristic
585C22×D4C2411yescharacteristic
586C23×C4—21no—
587C23×C4—21no—
588C23×C4—21no—
589C23×C4—21no—
590C23×C4—21no—
591C23×C4—21no—
592C23×C4—21no—
593C23×C4C2411yescharacteristic
594C23×C4C2411yescharacteristic
595C23×C4C2411yescharacteristic
596C2×SD16—41no—
597C2×SD16—41no—
598C2×SD16—41no—
599C2×D8—22no—
600C2×D8—22no—
601C2×D8—22no—
602C2×D8—22no—
603C2×D8—41no—
604C2×D8—41no—
605C2×D8—41no—
606C2×D8—41no—
607C2×D8—41no—
608C2×D8—41no—
609C2×D8—41no—
610C2×D8—41no—
611C2×M16—22no—
612C2×M16—22no—
613C2×M16—22no—
614C2×M16—41no—
615C2×M16—41no—
616C2×M16—41no—
617C22×C8—22no—
618C22×C8—22no—
619C22×C8—22no—
620C22×C8—41no—
621C22×C8—41no—
622C22×C8—41no—
623C22×C8C2411yescharacteristic
624C22×C8C2411yescharacteristic
625C22×C8C2411yescharacteristic
626C22×C8C2411yescharacteristic
627C22×C8C2411yescharacteristic
628C22×C8C2411yescharacteristic
629C22×C8C2411yescharacteristic
630C22×C8C2411yescharacteristic
631C4⋊Q8—22no—
632C4⋊Q8—22no—
633C4⋊Q8—22no—
634C4⋊Q8—41no—
635C4⋊Q8—44no—
636#127—22no—
637#127—22no—
638#127—22no—
639#127—41no—
640#127—41no—
641#127C2×D414yes—
642#126—44no—
643#125—22no—
644#125—22no—
645#125—41no—
646#125—44no—
647#125C2×D414yescomplemented
648#124—22no—
649#124—22no—
650#124—22no—
651#124—22no—
652#124—41no—
653#124—41no—
654#124—82no—
655#123—44no—
656#123—44no—
657C22⋊Q8—22no—
658C22⋊Q8—44no—
659C22⋊Q8—44no—
660C22⋊Q8—41no—
661C22⋊Q8—41no—
662C22⋊Q8—41no—
663C22⋊Q8—82no—
664C22⋊Q8—82no—
665C22⋊Q8—82no—
666#121—22no—
667#121—22no—
668#121—22no—
669#121—22no—
670#121—22no—
671#121—22no—
672#121—22no—
673#121—22no—
674#121—44no—
675#121—44no—
676#121—41no—
677#121—41no—
678#121—41no—
679#121—41no—
680#121—41no—
681#121—44no—
682#121—44no—
683#121—44no—
684#121—44no—
685#121—41no—
686#121—41no—
687#121—82no—
688#121—82no—
689#121#4114yes—
690#120—44no—
691#120—44no—
692#120—44no—
693#120—44no—
694#120—44no—
695#120—44no—
696#120—44no—
697#120—82no—
698#120—82no—
699#120—82no—
700C4×D4—22no—
701C4×D4—22no—
702C4×D4—22no—
703C4×D4—22no—
704C4×D4—22no—
705C4×D4—22no—
706C4×D4—22no—
707C4×D4—22no—
708C4×D4—22no—
709C4×D4—22no—
710C4×D4—22no—
711C4×D4—22no—
712C4×D4—41no—
713C4×D4—41no—
714C4×D4—44no—
715C4×D4—82no—
716C4×D4—82no—
717#117—22no—
718#117—22no—
719#117—22no—
720#117—22no—
721#117—41no—
722#117—41no—
723C2×C4⋊C4—21no—
724C2×C4⋊C4—21no—
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—21no—
742C2×C4⋊C4—21no—
743C2×C4⋊C4—41no—
744C2×C4⋊C4—41no—
745C2×C4⋊C4C2×D411yescharacteristic
746C2×C4⋊C4C2×D411yescharacteristic
747C2×C4⋊C4C2×D411yescharacteristic
748C2×C4⋊C4C2×D411yescharacteristic
749C2×C4⋊C4C2×D411yescharacteristic
750C2×C4⋊C4C2×D411yescharacteristic
751C2×C4⋊C4C2×D411yescharacteristic
752C2×C4⋊C4C2411yescharacteristic
753C2×C4⋊C4C2411yescharacteristic
754C2×C4⋊C4C2411yescharacteristic
755C2×C4⋊C4C2411yescharacteristic
756C2×C4⋊C4C2411yescharacteristic
757C2×C4⋊C4C2411yescharacteristic
758C2×C4⋊C4C2411yescharacteristic
759C2×C4⋊C4C2411yescharacteristic
760C2×C4⋊C4C2411yescharacteristic
761C2×C4⋊C4C2411yescharacteristic
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—21no—
804C2×C22⋊C4—44no—
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×C22⋊C4C2×D411yescharacteristic
815C2×C22⋊C4C2×D411yescharacteristic
816C2×C22⋊C4C2×D411yescharacteristic
817C2×C42—21no—
818C2×C42—21no—
819C2×C42—21no—
820C2×C42—21no—
821C2×C42—21no—
822C2×C42—21no—
823C2×C42C2411yescharacteristic
824C2×C42C2411yescharacteristic
825C2×C42C2411yescharacteristic
826C2×C42C2411yescharacteristic
827#107—22no—
828#107—22no—
829#106—22no—
830#106—22no—
831#106—41no—
832#106—41no—
833#106—41no—
834C4⋊C8—22no—
835C4⋊C8—22no—
836C4⋊C8—41no—
837C4⋊C8—41no—
838#103—22no—
839#103—22no—
840#103—22no—
841#103—22no—
842#103—41no—
843#103—41no—
844#103—41no—
845#102—22no—
846#102—22no—
847#102—22no—
848#102—22no—
849#102—22no—
850#102—22no—
851#102—22no—
852#102—22no—
853#102—22no—
854#102—22no—
855#102—22no—
856#102—22no—
857#102—22no—
858#102—22no—
859#102—22no—
860#102—22no—
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#102—41no—
871#102—41no—
872#102C2×D414yes—
873#102C2×D414yes—
874#102C2×D414yescomplemented
875#102C2×D414yescomplemented
876C22⋊C8—22no—
877C22⋊C8—22no—
878C22⋊C8—22no—
879C22⋊C8—22no—
880C22⋊C8—41no—
881C22⋊C8—41no—
882C22⋊C8—41no—
883C22⋊C8—41no—
884#97—22no—
885#97—41no—
886#97C2×D414yescomplemented
887C4×C8—22no—
888C4×C8—22no—
889C4×C8—41no—
890#95—21no—
891#95—21no—
892#95—21no—
893#95—21no—
894#95—21no—
895#95—21no—
896#95—21no—
897#95—21no—
898#95—21no—
899#95—21no—
900#95—21no—
901#95—21no—
902#95—21no—
903#95—21no—
904#95—21no—
905#95—21no—
906#95C2×D411yescharacteristic
907#95C2×D411yescharacteristic
908#95C2×D411yescharacteristic
909#95C2×D411yescharacteristic
910#95C2×D411yescharacteristic
911#95C2×D411yescharacteristic
912C24—21no—
913C24—21no—
914C24—21no—
915C24—21no—
916C24—21no—
917C24—42no—
918C24—42no—
919C24—42no—
920C24—42no—
921C24—42no—
922C24—42no—
923C24—42no—
924C24—42no—
925C24—81no—
926C24—81no—
927C24—81no—
928C24—81no—
929C24—81no—
930C24—81no—
931C24—81no—
932C24—81no—
933C24—81no—
934C24—81no—
935C24—81no—
936C24—81no—
937C24—81no—
938C24C22×D411yescharacteristic
939C24C22×D411yescharacteristic
940C24C22×D411yescharacteristic
941#41—44no—
942#41—44no—
943#41—82no—
944#41—82no—
945C2×Q8—21no—
946C2×Q8—21no—
947C2×Q8—21no—
948C2×Q8—21no—
949C2×Q8—21no—
950C2×Q8—21no—
951C2×Q8—42no—
952C2×Q8—42no—
953C2×Q8—81no—
954C2×Q8—81no—
955C2×Q8—81no—
956C2×Q8—81no—
957C2×D4—22no—
958C2×D4—22no—
959C2×D4—22no—
960C2×D4—22no—
961C2×D4—24no—
962C2×D4—22no—
963C2×D4—24no—
964C2×D4—24no—
965C2×D4—22no—
966C2×D4—21no—
967C2×D4—21no—
968C2×D4—21no—
969C2×D4—21no—
970C2×D4—21no—
971C2×D4—21no—
972C2×D4—21no—
973C2×D4—21no—
974C2×D4—21no—
975C2×D4—21no—
976C2×D4—21no—
977C2×D4—21no—
978C2×D4—21no—
979C2×D4—21no—
980C2×D4—21no—
981C2×D4—21no—
982C2×D4—21no—
983C2×D4—21no—
984C2×D4—21no—
985C2×D4—21no—
986C2×D4—21no—
987C2×D4—21no—
988C2×D4—21no—
989C2×D4—21no—
990C2×D4—21no—
991C2×D4—21no—
992C2×D4—21no—
993C2×D4—44no—
994C2×D4—44no—
995C2×D4—41no—
996C2×D4—41no—
997C2×D4—41no—
998C2×D4—42no—
999C2×D4—42no—
1000C2×D4—42no—
1001C2×D4—42no—
1002C2×D4—42no—
1003C2×D4—42no—
1004C2×D4—42no—
1005C2×D4—42no—
1006C2×D4—42no—
1007C2×D4—42no—
1008C2×D4—42no—
1009C2×D4—42no—
1010C2×D4—44no—
1011C2×D4—44no—
1012C2×D4—42no—
1013C2×D4—42no—
1014C2×D4—42no—
1015C2×D4—42no—
1016C2×D4—42no—
1017C2×D4—42no—
1018C2×D4—42no—
1019C2×D4—42no—
1020C2×D4—42no—
1021C2×D4—42no—
1022C2×D4—42no—
1023C2×D4—42no—
1024C2×D4—82no—
1025C2×D4—82no—
1026C2×D4—81no—
1027C2×D4—81no—
1028C2×D4—81no—
1029C2×D4—81no—
1030C2×D4—81no—
1031C2×D4—81no—
1032C2×D4—81no—
1033C2×D4—81no—
1034C2×D4—81no—
1035C2×D4—81no—
1036C2×D4—81no—
1037C2×D4—81no—
1038C2×D4—81no—
1039C2×D4—81no—
1040C2×D4—82no—
1041C2×D4—82no—
1042C2×D4—82no—
1043C2×D4—82no—
1044C2×D4—82no—
1045C2×D4—82no—
1046C2×D4—81no—
1047C2×D4—81no—
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—816no—
1060C2×D4—816no—
1061C2×D4C22×D412yes—
1062C2×D4C22×D412yes—
1063C2×D4C2×#4112yes—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—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—21no—
1089C22×C4—21no—
1090C22×C4—21no—
1091C22×C4—42no—
1092C22×C4—42no—
1093C22×C4—42no—
1094C22×C4—42no—
1095C22×C4—42no—
1096C22×C4—42no—
1097C22×C4—42no—
1098C22×C4—42no—
1099C22×C4—42no—
1100C22×C4—81no—
1101C22×C4—81no—
1102C22×C4—81no—
1103C22×C4—81no—
1104C22×C4—81no—
1105C22×C4—81no—
1106C22×C4—81no—
1107C22×C4—81no—
1108C22×C4—81no—
1109C22×C4—81no—
1110C22×C4—81no—
1111C22×C4—81no—
1112C22×C4C22×D411yescharacteristic
1113C22×C4C22×D411yescharacteristic
1114C22×C4C22×D411yescharacteristic
1115C22×C4C22×D411yescharacteristic
1116C22×C4C22×D411yescharacteristic
1117C22×C4C22×D411yescharacteristic
1118C22×C4C22×D411yescharacteristic
1119C22×C4C22×D411yescharacteristic
1120C22×C4C22×D411yescharacteristic
1121C22×C4C22×D411yescharacteristic
1122C22×C4C22×D411yescharacteristic
1123C22×C4C2×#4112yes—
1124C22×C4H(5,𝔽2)12yes—
1125C22×C4C2511yescharacteristic
1126SD16—82no—
1127D8—44no—
1128D8—82no—
1129D8—82no—
1130D8—82no—
1131M16—44no—
1132M16—82no—
1133C2×C8—21no—
1134C2×C8—21no—
1135C2×C8—21no—
1136C2×C8—21no—
1137C2×C8—21no—
1138C2×C8—21no—
1139C2×C8—21no—
1140C2×C8—21no—
1141C2×C8—21no—
1142C2×C8—21no—
1143C2×C8—21no—
1144C2×C8—21no—
1145C2×C8—21no—
1146C2×C8—21no—
1147C2×C8—21no—
1148C2×C8—21no—
1149C2×C8—21no—
1150C2×C8—21no—
1151C2×C8—21no—
1152C2×C8—21no—
1153C2×C8—21no—
1154C2×C8—21no—
1155C2×C8—44no—
1156C2×C8—82no—
1157C2×C8C22×D412yes—
1158C2×C8C22×D412yes—
1159C4⋊C4—24no—
1160C4⋊C4—24no—
1161C4⋊C4—22no—
1162C4⋊C4—22no—
1163C4⋊C4—22no—
1164C4⋊C4—22no—
1165C4⋊C4—22no—
1166C4⋊C4—22no—
1167C4⋊C4—21no—
1168C4⋊C4—21no—
1169C4⋊C4—21no—
1170C4⋊C4—21no—
1171C4⋊C4—21no—
1172C4⋊C4—21no—
1173C4⋊C4—21no—
1174C4⋊C4—21no—
1175C4⋊C4—21no—
1176C4⋊C4—21no—
1177C4⋊C4—21no—
1178C4⋊C4—21no—
1179C4⋊C4—21no—
1180C4⋊C4—21no—
1181C4⋊C4—21no—
1182C4⋊C4—21no—
1183C4⋊C4—21no—
1184C4⋊C4—41no—
1185C4⋊C4—42no—
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—
1203C4⋊C4C2×#4112yes—
1204C22⋊C4—22no—
1205C22⋊C4—22no—
1206C22⋊C4—22no—
1207C22⋊C4—22no—
1208C22⋊C4—22no—
1209C22⋊C4—22no—
1210C22⋊C4—22no—
1211C22⋊C4—24no—
1212C22⋊C4—22no—
1213C22⋊C4—22no—
1214C22⋊C4—22no—
1215C22⋊C4—41no—
1216C22⋊C4—41no—
1217C22⋊C4—42no—
1218C22⋊C4—42no—
1219C22⋊C4—42no—
1220C22⋊C4—42no—
1221C22⋊C4—42no—
1222C22⋊C4—42no—
1223C22⋊C4—42no—
1224C22⋊C4—42no—
1225C22⋊C4—42no—
1226C22⋊C4—42no—
1227C22⋊C4—42no—
1228C22⋊C4—42no—
1229C22⋊C4—42no—
1230C22⋊C4—42no—
1231C22⋊C4—42no—
1232C22⋊C4—42no—
1233C22⋊C4—42no—
1234C22⋊C4—42no—
1235C22⋊C4—42no—
1236C22⋊C4—42no—
1237C22⋊C4—42no—
1238C22⋊C4—42no—
1239C22⋊C4—81no—
1240C22⋊C4—81no—
1241C22⋊C4—81no—
1242C22⋊C4—81no—
1243C22⋊C4—81no—
1244C22⋊C4—81no—
1245C22⋊C4—81no—
1246C22⋊C4—81no—
1247C22⋊C4—81no—
1248C22⋊C4—81no—
1249C22⋊C4—81no—
1250C22⋊C4—81no—
1251C22⋊C4—81no—
1252C22⋊C4—81no—
1253C22⋊C4—81no—
1254C22⋊C4—81no—
1255C22⋊C4—81no—
1256C22⋊C4—81no—
1257C22⋊C4—81no—
1258C42—21no—
1259C42—21no—
1260C42—21no—
1261C42—21no—
1262C42—21no—
1263C42—21no—
1264C42—42no—
1265C42—42no—
1266C42—42no—
1267C42—81no—
1268C42—81no—
1269C42—81no—
1270C42C22×D412yes—
1271C42H(5,𝔽2)12yes—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—22no—
1288C23—22no—
1289C23—22no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—41no—
1295C23—41no—
1296C23—41no—
1297C23—41no—
1298C23—41no—
1299C23—41no—
1300C23—41no—
1301C23—41no—
1302C23—41no—
1303C23—41no—
1304C23—41no—
1305C23—41no—
1306C23—41no—
1307C23—41no—
1308C23—41no—
1309C23—41no—
1310C23—41no—
1311C23—41no—
1312C23—41no—
1313C23—41no—
1314C23—41no—
1315C23—41no—
1316C23—41no—
1317C23—41no—
1318C23—41no—
1319C23—41no—
1320C23—41no—
1321C23—41no—
1322C23—41no—
1323C23—41no—
1324C23—41no—
1325C23—41no—
1326C23—84no—
1327C23—84no—
1328C23—84no—
1329C23—84no—
1330C23—84no—
1331C23—84no—
1332C23—84no—
1333C23—84no—
1334C23—162no—
1335C23—162no—
1336C23—162no—
1337C23—162no—
1338C23—162no—
1339C23—162no—
1340C23—162no—
1341C23—162no—
1342C23—162no—
1343C23—162no—
1344C23—162no—
1345C23—162no—
1346C23—162no—
1347C23#54612yes—
1348C23#57712yes—
1349C23C23×D411yescharacteristic
1350Q8—41no—
1351Q8—41no—
1352Q8—41no—
1353Q8—41no—
1354Q8—162no—
1355Q8—162no—
1356D4—22no—
1357D4—22no—
1358D4—22no—
1359D4—22no—
1360D4—22no—
1361D4—22no—
1362D4—44no—
1363D4—44no—
1364D4—44no—
1365D4—41no—
1366D4—41no—
1367D4—41no—
1368D4—41no—
1369D4—41no—
1370D4—41no—
1371D4—41no—
1372D4—41no—
1373D4—41no—
1374D4—41no—
1375D4—41no—
1376D4—41no—
1377D4—41no—
1378D4—41no—
1379D4—84no—
1380D4—84no—
1381D4—84no—
1382D4—84no—
1383D4—84no—
1384D4—84no—
1385D4—84no—
1386D4—84no—
1387D4—84no—
1388D4—84no—
1389D4—84no—
1390D4—84no—
1391D4—162no—
1392D4—162no—
1393D4—162no—
1394D4—162no—
1395D4—162no—
1396D4—162no—
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—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—22no—
1418C2×C4—21no—
1419C2×C4—22no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—22no—
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—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—41no—
1455C2×C4—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—41no—
1460C2×C4—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—84no—
1472C2×C4—84no—
1473C2×C4—84no—
1474C2×C4—162no—
1475C2×C4—162no—
1476C2×C4—162no—
1477C2×C4—162no—
1478C2×C4D4212yes—
1479C2×C4D4212yes—
1480C2×C4#54612yes—
1481C2×C4#57612yes—
1482C2×C4C23×D411yescharacteristic
1483C2×C4C22×#4111yescharacteristic
1484C2×C4C2×H(5,𝔽2)11yescharacteristic
1485C2×C4C2×H(5,𝔽2)11yescharacteristic
1486C2×C4#58511yescharacteristic
1487C2×C4#58511yescharacteristic
1488C8—22no—
1489C8—22no—
1490C8—41no—
1491C8—41no—
1492C8—41no—
1493C8—41no—
1494C8—41no—
1495C8—41no—
1496C22—22no—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—22no—
1501C22—22no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—42no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—42no—
1516C22—42no—
1517C22—42no—
1518C22—42no—
1519C22—41no—
1520C22—41no—
1521C22—42no—
1522C22—42no—
1523C22—42no—
1524C22—41no—
1525C22—42no—
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—168no—
1553C22—168no—
1554C22—168no—
1555C22C2×D4211yescharacteristic
1556C22C2×#54611yescharacteristic
1557C22#350011yescharacteristic
1558C22C2×#57611yescharacteristic
1559C22C2×#57711yescharacteristic
1560C22#358511yescharacteristic
1561C22#358511yescharacteristic
1562C4—22no—
1563C4—22no—
1564C4—22no—
1565C4—22no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—42no—
1570C4—41no—
1571C4—42no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—42no—
1576C4—81no—
1577C4—81no—
1578C4—81no—
1579C4—81no—
1580C4—81no—
1581C4—81no—
1582C4—81no—
1583C4—81no—
1584C4D4×#4111yescharacteristic
1585C4#348811yescharacteristic
1586C4#351411yescharacteristic
1587C4#355811yescharacteristic
1588C2—42no—
1589C2—42no—
1590C2—81no—
1591C2—82no—
1592C2—82no—
1593C2—82no—
1594C2—161no—
1595C2—161no—
1596C2#5913111yescharacteristic
1597C2#6107111yescharacteristic
1598C2#6109311yescharacteristic
1599C2#6118311yescharacteristic
1600C2#6119211yescharacteristic
1601C2#6255011yescharacteristic
1602C2#6257011yescharacteristic
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×#3318C2semidirect
2. C2×#3136C2semidirect
3. #44973C2semidirect
4. #44877C2semidirect
5. #30655C2semidirect
6. #30646C2semidirect
7. #30539C2semidirect
8. #30535C2semidirect
9. #28921C2semidirect
10. #28906C2semidirect
11. #28612C2semidirect
12. #28430C2semidirect
13. #27271C2semidirect
14. #27254C2semidirect
15. #25881C2semidirect
16. #25575C2semidirect
17. #25318C2semidirect
18. #25280C2semidirect
19. #25133C2semidirect
20. #25116C2semidirect
21. #24870C2semidirect
22. #24865C2semidirect
23. #24428C2semidirect
24. #24424C2semidirect
25. #24309C2semidirect
26. #24218C2semidirect
27. #23229C2semidirect
28. #22428C2semidirect
29. #22419C2semidirect
30. #21529C2semidirect
31. #21496C2semidirect
32. C2×#553C22semidirect
36. C2×#544C22semidirect
41. C2×#490C22semidirect
42. C2×#489C22semidirect
43. C2×#489C22semidirect
44. C2×#488C22semidirect
45. C2×#488C22semidirect
47. C2×#486C22semidirect
49. C2×#482C22semidirect
50. C2×#478C22semidirect
51. C2×#476C22semidirect
52. C2×#469C22semidirect
55. C2×#463C22semidirect
57. C2×#449C22semidirect
59. C2×#447C22semidirect
60. C2×#447C22semidirect
61. C2×#442C22semidirect
62. C2×#436C22semidirect
63. C2×#435C22semidirect
64. C2×#435C22semidirect
65. C2×#417C22semidirect
67. C2×#418C22semidirect
68. C2×#416C22semidirect
69. C22×#102C22semidirect
70. C22×#102C22semidirect
71. C2×#405C22semidirect
80. #2563C22semidirect
82. #2542C22semidirect
86. #2491C22semidirect
87. #2490C22semidirect
90. #2441C22semidirect
91. #2440C22semidirect
97. #2416C22semidirect
98. #2414C22semidirect
105. #2370C22semidirect
107. #2354C22semidirect
108. D4×C4⋊C4C22semidirect
110. #2324C22semidirect
111. #2096C22semidirect
112. #2094C22semidirect
113. #2071C22semidirect
114. #2071C22semidirect
115. #2067C22semidirect
116. #2066C22semidirect
117. #2059C22semidirect
118. #2058C22semidirect
119. #2054C22semidirect
120. #2054C22semidirect
121. #2042C22semidirect
122. #2042C22semidirect
124. #2041C22semidirect
125. #2036C22semidirect
126. #2035C22semidirect
129. #2034C22semidirect
130. #2034C22semidirect
131. #2034C22semidirect
132. #2033C22semidirect
133. #2025C22semidirect
134. #2023C22semidirect
135. #2012C22semidirect
136. #2012C22semidirect
138. #2011C22semidirect
139. #2000C22semidirect
140. #2000C22semidirect
141. #1999C22semidirect
142. #1999C22semidirect
143. #1989C22semidirect
144. #1988C22semidirect
145. #1983C22semidirect
146. #1983C22semidirect
149. #1972C22semidirect
150. #1972C22semidirect
151. #1968C22semidirect
152. #1959C22semidirect
154. #1954C22semidirect
155. #1943C22semidirect
156. #1939C22semidirect
157. #1936C22semidirect
158. #1934C22semidirect
159. #1934C22semidirect
160. #1934C22semidirect
161. #1928C22semidirect
162. #1926C22semidirect
163. #1926C22semidirect
164. #1926C22semidirect
165. #1924C22semidirect
166. #1924C22semidirect
168. #1895C22semidirect
169. #1895C22semidirect
170. #1894C22semidirect
171. #1893C22semidirect
172. #1892C22semidirect
173. #1879C22semidirect
174. #1879C22semidirect
176. #1875C22semidirect
178. #1874C22semidirect
179. #1873C22semidirect
180. #1872C22semidirect
181. #1869C22semidirect
182. #1869C22semidirect
183. #1862C22semidirect
184. #1862C22semidirect
185. #1854C22semidirect
186. #1853C22semidirect
187. #1807C22semidirect
188. #1802C22semidirect
189. #1802C22semidirect
190. #1798C22semidirect
191. #1788C22semidirect
194. #1786C22semidirect
195. #1786C22semidirect
196. #1786C22semidirect
197. #1776C22semidirect
198. #1771C22semidirect
199. #1762C22semidirect
200. C4×#102C22semidirect
201. C4×#102C22semidirect
202. C4×#102C22semidirect
203. #1753C22semidirect
204. C8×C22⋊C4C22semidirect
298. #490D4semidirect
647. #125C2×D4semidirect
874. #102C2×D4semidirect
875. #102C2×D4semidirect
886. #97C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33182
C2×#31362
#449732
#448772
#306552
#306462
#305392
#305352
#289212
#289062
#286122
#284302
#272712
#272542
#258812
#255752
#253182
#252802
#251332
#251162
#248702
#248652
#244282
#244242
#243092
#242182
#232292
#224282
#224192
#215292
#214962