Finite Group Databasebeta

← #7056124

Subgroups — #7056124

Order 512.

2177 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3322C211yesmaximal, characteristic, complemented
2C2×#3307C211yesmaximal, characteristic, complemented
3#44892C211yesmaximal, characteristic, complemented
4#42952C211yesmaximal, characteristic, complemented
5#31140C211yesmaximal, characteristic, complemented
6#31128C211yesmaximal, characteristic, complemented
7#30895C211yesmaximal, characteristic, complemented
8#30886C211yesmaximal, characteristic, complemented
9#30729C211yesmaximal, characteristic, complemented
10#30725C211yesmaximal, characteristic, complemented
11#30471C211yesmaximal, characteristic, complemented
12#30447C211yesmaximal, characteristic, complemented
13#28587C211yesmaximal, characteristic, complemented
14#27284C211yesmaximal, characteristic, complemented
15#27276C211yesmaximal, characteristic, complemented
16#26905C211yesmaximal, characteristic, complemented
17#26888C211yesmaximal, characteristic, complemented
18#25734C211yesmaximal, characteristic, complemented
19#25426C211yesmaximal, characteristic, complemented
20#25419C211yesmaximal, characteristic, complemented
21#25133C211yesmaximal, characteristic, complemented
22#25124C211yesmaximal, characteristic, complemented
23#24454C211yesmaximal, characteristic, complemented
24#24451C211yesmaximal, characteristic, complemented
25#24451C211yesmaximal, characteristic, complemented
26#24434C211yesmaximal, characteristic, complemented
27#23973C211yesmaximal, characteristic, complemented
28#23962C211yesmaximal, characteristic, complemented
29#23509C211yesmaximal, characteristic, complemented
30#23125C211yesmaximal, characteristic, complemented
31#22092C211yesmaximal, characteristic, complemented
32C2×#553C2211yescharacteristic
33C2×#553C2211yescharacteristic
34C2×#550C2211yescharacteristic
35C2×#547C2211yescharacteristic
36C2×#546C2211yescharacteristic
37C2×#535C2211yescharacteristic
38#3322—28no—
39#3307—28no—
40C2×#496C2211yescharacteristic
41C2×#493C2211yescharacteristic
42C2×#491C2211yescharacteristic, complemented
43C2×#488C2211yescharacteristic
44C2×#485C2211yescharacteristic
45C2×#483C2211yescharacteristic, complemented
46C2×#480C2211yescharacteristic
47C2×#478C2211yescharacteristic
48C2×#478C2211yescharacteristic, complemented
49C2×#469C2211yescharacteristic
50C2×#469C2211yescharacteristic
51C2×#469C2211yescharacteristic, complemented
52C2×#468C2211yescharacteristic
53C2×#468C2211yescharacteristic, complemented
54C2×#465C2211yescharacteristic
55C2×#463C2211yescharacteristic
56C2×#461C2211yescharacteristic, complemented
57C2×#449C2211yescharacteristic
58C2×#449C2211yescharacteristic
59C2×#449C2211yescharacteristic
60C2×#449C2211yescharacteristic
61C2×#449C2211yescharacteristic, complemented
62C2×#449C2211yescharacteristic, complemented
63C2×#447C2211yescharacteristic
64C2×#447C2211yescharacteristic
65C2×#442C2211yescharacteristic, complemented
66C2×C4×D8C2211yescharacteristic
67C2×#436C2211yescharacteristic
68C2×#435C2211yescharacteristic
69C2×#417C2211yescharacteristic
70C2×#417C2211yescharacteristic
71C2×#417C2211yescharacteristic, complemented
72C2×#418C2211yescharacteristic
73C2×#416C2211yescharacteristic
74C22×#102C2211yescharacteristic
75#2823—21no—
76#2693—21no—
77#2682—21no—
78#2678—21no—
79#2675—21no—
80#2673—21no—
81#2671—21no—
82#2671—21no—
83#2669—21no—
84#2636—21no—
85#2636—21no—
86#2619C2211yescharacteristic
87#2545C2211yescharacteristic
88#2540C2211yescharacteristic
89#2537—21no—
90#2454C2211yescharacteristic, complemented
91#2454C2211yescharacteristic, complemented
92#2443—21no—
93#2442C2211yescharacteristic, complemented
94#2442C2211yescharacteristic, complemented
95#2432C2211yescharacteristic
96#2431C2211yescharacteristic
97#2428C2211yescharacteristic
98#2428C2211yescharacteristic, complemented
99#2428C2211yescharacteristic, complemented
100#2427C2211yescharacteristic
101#2424—21no—
102#2418—21no—
103#2416—21no—
104#2416C2211yescharacteristic
105#2416C2211yescharacteristic
106#2416C2211yescharacteristic, complemented
107#2416C2211yescharacteristic, complemented
108#2408C2211yescharacteristic
109#2407C2211yescharacteristic
110#2392C2211yescharacteristic
111#2366C2211yescharacteristic
112#2323C2211yescharacteristic
113#2317C2211yescharacteristic
114#2085C2211yescharacteristic, complemented
115#2074C2211yescharacteristic, complemented
116#2066C2211yescharacteristic, complemented
117#2065C2211yescharacteristic
118#2054C2211yescharacteristic
119#2054C2211yescharacteristic, complemented
120#2043C2211yescharacteristic, complemented
121#2042C2211yescharacteristic
122#2042C2211yescharacteristic
123#2042C2211yescharacteristic
124#2042C2211yescharacteristic
125#2042C2211yescharacteristic
126#2041C2211yescharacteristic
127#2041C2211yescharacteristic
128#2041C2211yescharacteristic
129#2041C2211yescharacteristic
130#2041C2211yescharacteristic, complemented
131#2036C2211yescharacteristic, complemented
132#2034C2211yescharacteristic
133#2034C2211yescharacteristic
134#2034C2211yescharacteristic, complemented
135#2026C2211yescharacteristic, complemented
136#2025C2211yescharacteristic
137#2025C2211yescharacteristic
138#2025C2211yescharacteristic, complemented
139#2014C2211yescharacteristic, complemented
140#2013C2211yescharacteristic, complemented
141#2012C2211yescharacteristic
142#2012C2211yescharacteristic
143#2012C2211yescharacteristic
144#2011C2211yescharacteristic
145#2011C2211yescharacteristic
146#2000C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, complemented
149#1999C2211yescharacteristic
150#1999C2211yescharacteristic
151#1999C2211yescharacteristic
152#1999C2211yescharacteristic
153#1999C2211yescharacteristic, complemented
154#1972C2211yescharacteristic
155#1968C2211yescharacteristic, complemented
156#1961C2211yescharacteristic
157#1958C2211yescharacteristic
158#1943C2211yescharacteristic, complemented
159#1941C2211yescharacteristic, complemented
160#1936C2211yescharacteristic
161#1935C2211yescharacteristic, complemented
162#1934C2211yescharacteristic, complemented
163#1933C2211yescharacteristic, complemented
164#1926C2211yescharacteristic, complemented
165#1925C2211yescharacteristic, complemented
166#1924C2211yescharacteristic, complemented
167#1923C2211yescharacteristic, complemented
168#1921C2211yescharacteristic, complemented
169#1920C2211yescharacteristic, complemented
170#1917C2211yescharacteristic, complemented
171#1916C2211yescharacteristic, complemented
172#1895C2211yescharacteristic
173#1895C2211yescharacteristic
174#1894C2211yescharacteristic, complemented
175#1893C2211yescharacteristic
176#1880C2211yescharacteristic, complemented
177#1880C2211yescharacteristic, complemented
178#1879C2211yescharacteristic
179#1879C2211yescharacteristic
180#1879C2211yescharacteristic
181#1879C2211yescharacteristic, complemented
182#1879C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1874C2211yescharacteristic
185#1874C2211yescharacteristic
186#1874C2211yescharacteristic, complemented
187#1872C2211yescharacteristic
188#1872C2211yescharacteristic, complemented
189#1870C2211yescharacteristic
190#1870C2211yescharacteristic, complemented
191#1870C2211yescharacteristic, complemented
192#1869C2211yescharacteristic
193#1865C2211yescharacteristic, complemented
194#1865C2211yescharacteristic, complemented
195#1864C2211yescharacteristic
196#1862C2211yescharacteristic, complemented
197#1853C2211yescharacteristic
198#1825C2211yescharacteristic
199#1788C2211yescharacteristic
200#1788C2211yescharacteristic, complemented
201#1753C2211yescharacteristic, complemented
202#1753C2211yescharacteristic, complemented
203#1750C2211yescharacteristic
204#1729C2211yescharacteristic
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×M16C2311yescharacteristic
220C22×M16C2311yescharacteristic
221C22×M16C2311yescharacteristic
222C23×C8C2311yescharacteristic
223#553—24no—
224#553—24no—
225#553—42no—
226#553—42no—
227#550—42no—
228#550—42no—
229#547—24no—
230#547—42no—
231#546—24no—
232#546—42no—
233#535—42no—
234#535—42no—
235C2×C4⋊Q8C2311yescharacteristic
236C2×#127—21no—
237C2×#127C2311yescharacteristic
238C2×#127C2311yescharacteristic
239C2×#127C2311yescharacteristic
240C2×#126—21no—
241C2×#126—21no—
242C2×#125C2311yescharacteristic
243C2×#125C2311yescharacteristic
244C2×#124C2311yescharacteristic
245C2×#124C2311yescharacteristic
246C2×#124C2311yescharacteristic
247C2×#123—21no—
248C2×#123—21no—
249C2×#123—21no—
250C2×#123—21no—
251C2×#123—21no—
252C2×C22⋊Q8C2311yescharacteristic
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×#121—21no—
264C2×#121—21no—
265C2×#121—21no—
266C2×#121—21no—
267C2×#121—21no—
268C2×#121—21no—
269C2×#121—21no—
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#120—21no—
281C2×#120—21no—
282C2×#120—21no—
283C2×#120—21no—
284C2×C4×Q8C2311yescharacteristic
285C2×C4×D4—21no—
286C2×C4×D4—21no—
287C2×C4×D4—21no—
288C2×C4×D4—21no—
289C2×C4×D4C2311yescharacteristic
290C2×C4×D4C2311yescharacteristic
291C2×C4×D4C2311yescharacteristic
292C2×C4×D4C2311yescharacteristic
293C2×C4×D4C2311yescharacteristic
294C2×C4×D4C2311yescharacteristic
295C2×C4×D4C2311yescharacteristic
296C2×#117C2311yescharacteristic
297C2×#117C2311yescharacteristic
298C22×C4⋊C4—21no—
299C22×C4⋊C4C2311yescharacteristic
300C22×C4⋊C4C2311yescharacteristic
301C22×C4⋊C4C2311yescharacteristic
302C22×C22⋊C4—21no—
303#496—42no—
304#493—42no—
305#491—24no—
306#488—24no—
307#485D418yescomplemented
308#483—24no—
309#480—24no—
310#478—24no—
311#478—24no—
312#469—24no—
313#469—42no—
314#469—42no—
315#468—24no—
316#468—24no—
317#465—24no—
318#463—24no—
319#461—24no—
320#449—24no—
321#449—24no—
322#449—24no—
323#449—42no—
324#449—42no—
325#449—42no—
326#447—24no—
327#447—42no—
328#442—24no—
329C4×D8—24no—
330#436—24no—
331#435—24no—
332C2×#107C2311yescharacteristic
333C2×#107C2311yescharacteristic
334C2×#106C2311yescharacteristic
335C2×#106C2311yescharacteristic
336C2×#106C2311yescharacteristic
337C2×#106C2311yescharacteristic
338C2×C4⋊C8C2311yescharacteristic
339C2×C4⋊C8C2311yescharacteristic
340#418—24no—
341#417—24no—
342#417—24no—
343#417—42no—
344#416—24no—
345C2×#103C2311yescharacteristic
346C2×#103C2311yescharacteristic
347C2×#103C2311yescharacteristic
348C2×#103C2311yescharacteristic
349C2×#103C2311yescharacteristic
350C2×#103C2311yescharacteristic
351C2×#103C2311yescharacteristic
352C2×#103C2311yescharacteristic
353C2×#103C2311yescharacteristic
354C2×#103C2311yescharacteristic
355C2×#103C2311yescharacteristic
356C2×#103C2311yescharacteristic
357C2×#102—42no—
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×C22⋊C8C2311yescharacteristic
383C2×C22⋊C8C2311yescharacteristic
384C2×C22⋊C8C2311yescharacteristic
385C2×C22⋊C8C2311yescharacteristic
386C2×C22⋊C8C2311yescharacteristic
387C2×C22⋊C8C2311yescharacteristic
388C2×C22⋊C8C2311yescharacteristic
389C2×C22⋊C8C2311yescharacteristic
390C2×#97C2311yescharacteristic
391C2×#97C2311yescharacteristic
392C2×C4×C8C2311yescharacteristic
393C2×C4×C8C2311yescharacteristic
394#400—21no—
395#400—21no—
396#399—21no—
397#399—21no—
398#399—21no—
399#398—21no—
400#398—21no—
401#398D411yescharacteristic
402#397—21no—
403#397D411yescharacteristic
404#396—21no—
405#396—21no—
406#396—21no—
407#396—21no—
408#396—21no—
409#396—21no—
410#396—21no—
411#396—21no—
412#396D411yescharacteristic
413#396D411yescharacteristic
414#394—21no—
415#394—21no—
416#394—21no—
417#394—21no—
418#394—21no—
419#394—21no—
420#394—21no—
421#394—21no—
422#394—21no—
423#394—21no—
424#394—21no—
425#394—21no—
426#394—21no—
427#394—21no—
428#394D411yescharacteristic
429#394D411yescharacteristic
430#394D411yescharacteristic
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#392D411yescharacteristic
442#391C2311yescharacteristic
443#391C2311yescharacteristic
444#390—21no—
445#390—21no—
446#390—21no—
447#390C2311yescharacteristic
448#390C2311yescharacteristic
449#390C2311yescharacteristic
450#390C2311yescharacteristic
451#390C2311yescharacteristic
452#390C2311yescharacteristic
453#390C2311yescharacteristic
454#389—21no—
455#389C2311yescharacteristic
456#389C2311yescharacteristic
457#389C2311yescharacteristic
458#389C2311yescharacteristic
459#389C2311yescharacteristic
460#389C2311yescharacteristic
461#389C2311yescharacteristic
462#388—21no—
463#388—21no—
464#388—21no—
465#388—21no—
466#387—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#386—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#385—21no—
481#385—21no—
482#385—21no—
483#385—21no—
484#385—21no—
485#385—21no—
486#385—21no—
487#385—21no—
488#385—21no—
489#384—21no—
490#382—21no—
491#382C2311yescharacteristic
492#380—21no—
493#380—21no—
494#380—21no—
495#380—21no—
496#380—21no—
497#380C2311yescharacteristic
498#380C2311yescharacteristic
499#380C2311yescharacteristic
500#379—21no—
501C4×C4⋊C4C2311yescharacteristic
502C4×C4⋊C4C2311yescharacteristic
503C4×C22⋊C4C2311yescharacteristic
504C4×C22⋊C4C2311yescharacteristic
505#340C2311yescharacteristic
506#340C2311yescharacteristic
507#340C2311yescharacteristic
508#340C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#336C2311yescharacteristic
518#336C2311yescharacteristic
519#336C2311yescharacteristic
520#336C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527C25—21no—
528C2×#41—22no—
529C2×#41—22no—
530C2×#41—22no—
531C2×#41—22no—
532C2×#41—22no—
533C2×#41—22no—
534C2×#41—22no—
535C2×#41—41no—
536C2×#41—41no—
537C2×#41—41no—
538C2×#41—41no—
539C2×#41—41no—
540C2×#41—41no—
541C2×#41—41no—
542C2×#41—41no—
543C2×#41—41no—
544C2×#41—41no—
545C2×#41—41no—
546C22×Q8C2411yescharacteristic
547C22×Q8C2411yescharacteristic
548C22×D4—22no—
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—21no—
560C22×D4—21no—
561C22×D4—21no—
562C22×D4—21no—
563C22×D4—21no—
564C22×D4—22no—
565C22×D4—21no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—21no—
569C22×D4—21no—
570C22×D4—22no—
571C22×D4—41no—
572C22×D4—41no—
573C22×D4—41no—
574C22×D4C2×D411yescharacteristic
575C22×D4C2×D411yescharacteristic
576C22×D4C2×D411yescharacteristic
577C22×D4C2411yescharacteristic
578C22×D4C2411yescharacteristic
579C22×D4C2411yescharacteristic
580C22×D4C2411yescharacteristic
581C22×D4C2411yescharacteristic
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×C4—21no—
591C23×C4—21no—
592C23×C4C2411yescharacteristic
593C23×C4C2411yescharacteristic
594C23×C4C2411yescharacteristic
595C2×SD16—22no—
596C2×SD16—22no—
597C2×SD16—22no—
598C2×SD16—41no—
599C2×SD16—41no—
600C2×SD16—41no—
601C2×SD16—41no—
602C2×SD16—41no—
603C2×SD16—41no—
604C2×SD16—41no—
605C2×SD16—41no—
606C2×SD16—41no—
607C2×D8—22no—
608C2×D8—22no—
609C2×D8—22no—
610C2×D8—22no—
611C2×D8—22no—
612C2×D8—22no—
613C2×D8—22no—
614C2×D8—41no—
615C2×D8—41no—
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×M16—22no—
626C2×M16—22no—
627C2×M16—22no—
628C2×M16—41no—
629C2×M16—41no—
630C2×M16—41no—
631C2×M16—41no—
632C2×M16—41no—
633C2×M16—41no—
634C22×C8—22no—
635C22×C8—41no—
636C22×C8—41no—
637C22×C8C2411yescharacteristic
638C22×C8C2411yescharacteristic
639C22×C8C2411yescharacteristic
640C22×C8C2411yescharacteristic
641C22×C8C2411yescharacteristic
642C22×C8C2411yescharacteristic
643C22×C8C2411yescharacteristic
644C22×C8C2411yescharacteristic
645C4⋊Q8—22no—
646C4⋊Q8—41no—
647#127—22no—
648#127—22no—
649#127—22no—
650#127—41no—
651#127—41no—
652#127—41no—
653#127—44no—
654#126—44no—
655#126—44no—
656#125—22no—
657#125—22no—
658#125—41no—
659#125—41no—
660#124—22no—
661#124—22no—
662#124—41no—
663#124—41no—
664#124—41no—
665#124—41no—
666#123—44no—
667#123—44no—
668#123—44no—
669#123—44no—
670#123—44no—
671C22⋊Q8—22no—
672C22⋊Q8—22no—
673C22⋊Q8—41no—
674C22⋊Q8—41no—
675C22⋊Q8—41no—
676C22⋊Q8C2×D414yes—
677#121—22no—
678#121—22no—
679#121—22no—
680#121—22no—
681#121—22no—
682#121—22no—
683#121—22no—
684#121—22no—
685#121—22no—
686#121—44no—
687#121—44no—
688#121—44no—
689#121—44no—
690#121—41no—
691#121—41no—
692#121—41no—
693#121—41no—
694#121—41no—
695#121—44no—
696#121—44no—
697#121—44no—
698#121—44no—
699#121—41no—
700#121—41no—
701#121—41no—
702#121—41no—
703#121—41no—
704#121—41no—
705#121—82no—
706#121—82no—
707#121—82no—
708#121—82no—
709#121—82no—
710#121—82no—
711#121—82no—
712#120—44no—
713#120—44no—
714#120—44no—
715#120—82no—
716C4×Q8—41no—
717C4×Q8—41no—
718C4×D4—22no—
719C4×D4—22no—
720C4×D4—22no—
721C4×D4—22no—
722C4×D4—22no—
723C4×D4—22no—
724C4×D4—22no—
725C4×D4—22no—
726C4×D4—44no—
727C4×D4—44no—
728C4×D4—41no—
729C4×D4—41no—
730C4×D4—41no—
731C4×D4—41no—
732C4×D4—41no—
733C4×D4—41no—
734C4×D4—44no—
735C4×D4—82no—
736#117—22no—
737#117—41no—
738#117—41no—
739#117C2×D414yes—
740C2×C4⋊C4—21no—
741C2×C4⋊C4—22no—
742C2×C4⋊C4—22no—
743C2×C4⋊C4—21no—
744C2×C4⋊C4—21no—
745C2×C4⋊C4—21no—
746C2×C4⋊C4—21no—
747C2×C4⋊C4—21no—
748C2×C4⋊C4—21no—
749C2×C4⋊C4—21no—
750C2×C4⋊C4—21no—
751C2×C4⋊C4—21no—
752C2×C4⋊C4—21no—
753C2×C4⋊C4—21no—
754C2×C4⋊C4—21no—
755C2×C4⋊C4—21no—
756C2×C4⋊C4—21no—
757C2×C4⋊C4—21no—
758C2×C4⋊C4—21no—
759C2×C4⋊C4—21no—
760C2×C4⋊C4—21no—
761C2×C4⋊C4—21no—
762C2×C4⋊C4—41no—
763C2×C4⋊C4—41no—
764C2×C4⋊C4—44no—
765C2×C4⋊C4—41no—
766C2×C4⋊C4—41no—
767C2×C4⋊C4C2×D411yescharacteristic
768C2×C4⋊C4C2×D411yescharacteristic
769C2×C4⋊C4C2×D411yescharacteristic
770C2×C4⋊C4C2×D411yescharacteristic
771C2×C4⋊C4C2×D411yescharacteristic
772C2×C4⋊C4C2×D411yescharacteristic
773C2×C4⋊C4C2×D411yescharacteristic
774C2×C4⋊C4C2411yescharacteristic
775C2×C4⋊C4C2411yescharacteristic
776C2×C4⋊C4C2411yescharacteristic
777C2×C4⋊C4C2411yescharacteristic
778C2×C4⋊C4C2411yescharacteristic
779C2×C4⋊C4C2411yescharacteristic
780C2×C4⋊C4C2411yescharacteristic
781C2×C4⋊C4C2411yescharacteristic
782C2×C4⋊C4C2411yescharacteristic
783C2×C22⋊C4—21no—
784C2×C22⋊C4—21no—
785C2×C22⋊C4—21no—
786C2×C22⋊C4—21no—
787C2×C22⋊C4—21no—
788C2×C22⋊C4—21no—
789C2×C22⋊C4—21no—
790C2×C22⋊C4—21no—
791C2×C22⋊C4—21no—
792C2×C22⋊C4—21no—
793C2×C22⋊C4—21no—
794C2×C22⋊C4—21no—
795C2×C22⋊C4—21no—
796C2×C22⋊C4—21no—
797C2×C22⋊C4—21no—
798C2×C22⋊C4—21no—
799C2×C22⋊C4—21no—
800C2×C22⋊C4—21no—
801C2×C22⋊C4—21no—
802C2×C22⋊C4—21no—
803C2×C22⋊C4—21no—
804C2×C22⋊C4—21no—
805C2×C22⋊C4—21no—
806C2×C22⋊C4—21no—
807C2×C22⋊C4—21no—
808C2×C22⋊C4—21no—
809C2×C22⋊C4—21no—
810C2×C22⋊C4—21no—
811C2×C22⋊C4—21no—
812C2×C22⋊C4—21no—
813C2×C22⋊C4—21no—
814C2×C22⋊C4—21no—
815C2×C22⋊C4—21no—
816C2×C22⋊C4—21no—
817C2×C22⋊C4—21no—
818C2×C22⋊C4—21no—
819C2×C22⋊C4—21no—
820C2×C22⋊C4—21no—
821C2×C22⋊C4—21no—
822C2×C22⋊C4—21no—
823C2×C22⋊C4—21no—
824C2×C22⋊C4—44no—
825C2×C22⋊C4C2×D411yescharacteristic
826C2×C22⋊C4C2×D411yescharacteristic
827C2×C22⋊C4C2×D411yescharacteristic
828C2×C22⋊C4C2×D411yescharacteristic
829C2×C22⋊C4C2×D411yescharacteristic
830C2×C22⋊C4C2×D411yescharacteristic
831C2×C22⋊C4C2×D411yescharacteristic
832C2×C22⋊C4C2×D411yescharacteristic
833C2×C22⋊C4C2×D411yescharacteristic
834C2×C22⋊C4C2×D411yescharacteristic
835C2×C22⋊C4C2×D411yescharacteristic
836C2×C22⋊C4C2×D411yescharacteristic
837C2×C42—21no—
838C2×C42—21no—
839C2×C42—21no—
840C2×C42C2411yescharacteristic
841C2×C42C2411yescharacteristic
842C2×C42C2411yescharacteristic
843C2×C42C2411yescharacteristic
844#107—22no—
845#107C2×D414yes—
846#106—22no—
847#106—41no—
848#106—41no—
849#106C2×D414yes—
850C4⋊C8—22no—
851C4⋊C8—22no—
852#103—22no—
853#103—22no—
854#103—22no—
855#103—22no—
856#103—22no—
857#103—41no—
858#103—41no—
859#103—41no—
860#103—41no—
861#103—41no—
862#103C2×D414yes—
863#103C2×D414yes—
864#102—22no—
865#102—22no—
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—41no—
880#102—41no—
881#102—41no—
882#102—41no—
883#102—41no—
884#102—41no—
885#102—41no—
886#102—41no—
887#102—41no—
888C22⋊C8—22no—
889C22⋊C8—22no—
890C22⋊C8—22no—
891C22⋊C8—41no—
892C22⋊C8—41no—
893C22⋊C8—41no—
894C22⋊C8—41no—
895C22⋊C8C2×D414yes—
896#97—22no—
897#97—41no—
898C4×C8—22no—
899C4×C8—41no—
900#95—21no—
901#95—21no—
902#95—21no—
903#95—21no—
904#95—21no—
905#95—21no—
906#95—21no—
907#95—21no—
908#95—21no—
909#95—21no—
910#95—21no—
911#95—21no—
912#95—21no—
913#95—21no—
914#95—21no—
915#95—21no—
916#95—21no—
917#95C2×D411yescharacteristic
918#95C2×D411yescharacteristic
919#95C2×D411yescharacteristic
920#95C2×D411yescharacteristic
921#95C2×D411yescharacteristic
922#95C2×D411yescharacteristic
923C24—21no—
924C24—21no—
925C24—21no—
926C24—21no—
927C24—21no—
928C24—42no—
929C24—42no—
930C24—81no—
931C24—81no—
932C24—81no—
933C24—81no—
934C24—81no—
935C24C22×D411yescharacteristic
936C24C22×D411yescharacteristic
937C24C22×D411yescharacteristic
938#41—44no—
939#41—44no—
940#41—44no—
941#41—44no—
942#41—82no—
943#41—82no—
944#41—82no—
945#41—82no—
946#41—82no—
947#41—82no—
948#41—82no—
949#41—82no—
950C2×Q8—21no—
951C2×Q8—21no—
952C2×Q8—21no—
953C2×Q8—21no—
954C2×Q8—21no—
955C2×Q8—21no—
956C2×Q8—21no—
957C2×Q8—21no—
958C2×Q8—21no—
959C2×Q8—21no—
960C2×Q8—21no—
961C2×Q8C22×D412yes—
962C2×D4—24no—
963C2×D4—24no—
964C2×D4—22no—
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—21no—
994C2×D4—44no—
995C2×D4—44no—
996C2×D4—41no—
997C2×D4—41no—
998C2×D4—41no—
999C2×D4—41no—
1000C2×D4—41no—
1001C2×D4—41no—
1002C2×D4—41no—
1003C2×D4—42no—
1004C2×D4—42no—
1005C2×D4—42no—
1006C2×D4—42no—
1007C2×D4—42no—
1008C2×D4—42no—
1009C2×D4—42no—
1010C2×D4—42no—
1011C2×D4—42no—
1012C2×D4—42no—
1013C2×D4—42no—
1014C2×D4—42no—
1015C2×D4—42no—
1016C2×D4—42no—
1017C2×D4—42no—
1018C2×D4—42no—
1019C2×D4—42no—
1020C2×D4—42no—
1021C2×D4—42no—
1022C2×D4—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—81no—
1041C2×D4—81no—
1042C2×D4—81no—
1043C2×D4—81no—
1044C2×D4—81no—
1045C2×D4—81no—
1046C2×D4—81no—
1047C2×D4—81no—
1048C2×D4—81no—
1049C2×D4—81no—
1050C2×D4—81no—
1051C2×D4—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×D4H(5,𝔽2)12yes—
1064C2×D4H(5,𝔽2)12yes—
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—21no—
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—42no—
1101C22×C4—42no—
1102C22×C4—42no—
1103C22×C4—42no—
1104C22×C4—42no—
1105C22×C4—81no—
1106C22×C4—81no—
1107C22×C4—81no—
1108C22×C4—81no—
1109C22×C4—81no—
1110C22×C4—81no—
1111C22×C4—81no—
1112C22×C4—81no—
1113C22×C4—81no—
1114C22×C4—81no—
1115C22×C4—81no—
1116C22×C4—81no—
1117C22×C4—81no—
1118C22×C4—81no—
1119C22×C4—81no—
1120C22×C4—81no—
1121C22×C4—81no—
1122C22×C4C22×D411yescharacteristic
1123C22×C4C22×D411yescharacteristic
1124C22×C4C22×D411yescharacteristic
1125C22×C4C22×D411yescharacteristic
1126C22×C4C22×D411yescharacteristic
1127C22×C4C22×D411yescharacteristic
1128C22×C4C22×D411yescharacteristic
1129C22×C4C22×D411yescharacteristic
1130C22×C4C22×D411yescharacteristic
1131C22×C4C22×D411yescharacteristic
1132C22×C4C22×D411yescharacteristic
1133C22×C4C22×D412yes—
1134C22×C4H(5,𝔽2)12yes—
1135C22×C4C2511yescharacteristic
1136SD16—82no—
1137SD16—82no—
1138SD16—82no—
1139SD16—82no—
1140D8—44no—
1141D8—44no—
1142D8—82no—
1143D8—82no—
1144D8—82no—
1145D8—82no—
1146M16—82no—
1147M16—82no—
1148M16—82no—
1149C2×C8—21no—
1150C2×C8—21no—
1151C2×C8—21no—
1152C2×C8—21no—
1153C2×C8—21no—
1154C2×C8—21no—
1155C2×C8—21no—
1156C2×C8—21no—
1157C2×C8—21no—
1158C2×C8—21no—
1159C2×C8—21no—
1160C2×C8—21no—
1161C2×C8—21no—
1162C2×C8—21no—
1163C2×C8—21no—
1164C2×C8—21no—
1165C2×C8—21no—
1166C2×C8—21no—
1167C2×C8—21no—
1168C2×C8—21no—
1169C2×C8—21no—
1170C2×C8—21no—
1171C2×C8—82no—
1172C2×C8C22×D412yes—
1173C2×C8C22×D412yes—
1174C4⋊C4—24no—
1175C4⋊C4—22no—
1176C4⋊C4—22no—
1177C4⋊C4—21no—
1178C4⋊C4—21no—
1179C4⋊C4—21no—
1180C4⋊C4—21no—
1181C4⋊C4—21no—
1182C4⋊C4—21no—
1183C4⋊C4—21no—
1184C4⋊C4—21no—
1185C4⋊C4—21no—
1186C4⋊C4—21no—
1187C4⋊C4—21no—
1188C4⋊C4—21no—
1189C4⋊C4—21no—
1190C4⋊C4—21no—
1191C4⋊C4—21no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C4⋊C4—41no—
1195C4⋊C4—41no—
1196C4⋊C4—41no—
1197C4⋊C4—42no—
1198C4⋊C4—42no—
1199C4⋊C4—42no—
1200C4⋊C4—42no—
1201C4⋊C4—42no—
1202C4⋊C4—42no—
1203C4⋊C4—42no—
1204C4⋊C4—42no—
1205C4⋊C4—42no—
1206C4⋊C4—42no—
1207C4⋊C4—81no—
1208C4⋊C4—81no—
1209C4⋊C4—81no—
1210C4⋊C4—81no—
1211C4⋊C4—81no—
1212C4⋊C4—81no—
1213C4⋊C4—81no—
1214C4⋊C4—81no—
1215C4⋊C4—81no—
1216C4⋊C4C22×D412yes—
1217C4⋊C4C22×D412yes—
1218C4⋊C4C22×D412yes—
1219C22⋊C4—24no—
1220C22⋊C4—24no—
1221C22⋊C4—22no—
1222C22⋊C4—22no—
1223C22⋊C4—22no—
1224C22⋊C4—22no—
1225C22⋊C4—41no—
1226C22⋊C4—41no—
1227C22⋊C4—41no—
1228C22⋊C4—41no—
1229C22⋊C4—41no—
1230C22⋊C4—41no—
1231C22⋊C4—41no—
1232C22⋊C4—41no—
1233C22⋊C4—42no—
1234C22⋊C4—42no—
1235C22⋊C4—42no—
1236C22⋊C4—42no—
1237C22⋊C4—42no—
1238C22⋊C4—42no—
1239C22⋊C4—42no—
1240C22⋊C4—42no—
1241C22⋊C4—42no—
1242C22⋊C4—42no—
1243C22⋊C4—42no—
1244C22⋊C4—42no—
1245C22⋊C4—42no—
1246C22⋊C4—42no—
1247C22⋊C4—42no—
1248C22⋊C4—42no—
1249C22⋊C4—42no—
1250C22⋊C4—42no—
1251C22⋊C4—42no—
1252C22⋊C4—42no—
1253C22⋊C4—42no—
1254C22⋊C4—42no—
1255C22⋊C4—81no—
1256C22⋊C4—81no—
1257C22⋊C4—81no—
1258C22⋊C4—81no—
1259C22⋊C4—81no—
1260C22⋊C4—81no—
1261C22⋊C4—81no—
1262C22⋊C4—81no—
1263C22⋊C4—81no—
1264C22⋊C4—81no—
1265C22⋊C4—81no—
1266C22⋊C4—81no—
1267C22⋊C4—81no—
1268C22⋊C4—81no—
1269C22⋊C4—81no—
1270C22⋊C4—81no—
1271C22⋊C4—81no—
1272C42—24no—
1273C42—21no—
1274C42—21no—
1275C42—21no—
1276C42—21no—
1277C42—21no—
1278C42—21no—
1279C42—21no—
1280C42—21no—
1281C42—42no—
1282C42—81no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—22no—
1300C23—21no—
1301C23—21no—
1302C23—22no—
1303C23—21no—
1304C23—21no—
1305C23—41no—
1306C23—41no—
1307C23—41no—
1308C23—41no—
1309C23—41no—
1310C23—41no—
1311C23—41no—
1312C23—41no—
1313C23—41no—
1314C23—41no—
1315C23—41no—
1316C23—41no—
1317C23—41no—
1318C23—41no—
1319C23—41no—
1320C23—41no—
1321C23—41no—
1322C23—41no—
1323C23—41no—
1324C23—41no—
1325C23—41no—
1326C23—41no—
1327C23—41no—
1328C23—41no—
1329C23—41no—
1330C23—41no—
1331C23—41no—
1332C23—41no—
1333C23—41no—
1334C23—41no—
1335C23—41no—
1336C23—41no—
1337C23—41no—
1338C23—84no—
1339C23—84no—
1340C23—162no—
1341C23—162no—
1342C23—162no—
1343C23—162no—
1344C23—162no—
1345C23D4212yes—
1346C23C23×D411yescharacteristic
1347Q8—22no—
1348Q8—22no—
1349Q8—41no—
1350Q8—41no—
1351Q8—41no—
1352Q8—41no—
1353Q8—41no—
1354Q8—41no—
1355D4—22no—
1356D4—22no—
1357D4—22no—
1358D4—22no—
1359D4—41no—
1360D4—41no—
1361D4—41no—
1362D4—41no—
1363D4—41no—
1364D4—41no—
1365D4—41no—
1366D4—41no—
1367D4—41no—
1368D4—41no—
1369D4—41no—
1370D4—41no—
1371D4—41no—
1372D4—41no—
1373D4—41no—
1374D4—41no—
1375D4—84no—
1376D4—82no—
1377D4—82no—
1378D4—84no—
1379D4—84no—
1380D4—82no—
1381D4—84no—
1382D4—84no—
1383D4—84no—
1384D4—84no—
1385D4—84no—
1386D4—162no—
1387D4—162no—
1388D4—162no—
1389D4—162no—
1390D4—162no—
1391D4—162no—
1392D4—162no—
1393D4—162no—
1394D4—162no—
1395D4—162no—
1396D4—162no—
1397D4—162no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—22no—
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—21no—
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—22no—
1423C2×C4—22no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—22no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—22no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—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—41no—
1472C2×C4—41no—
1473C2×C4—41no—
1474C2×C4—41no—
1475C2×C4—84no—
1476C2×C4—84no—
1477C2×C4—84no—
1478C2×C4—84no—
1479C2×C4—162no—
1480C2×C4—162no—
1481C2×C4—162no—
1482C2×C4—162no—
1483C2×C4—162no—
1484C2×C4—162no—
1485C2×C4D4212yes—
1486C2×C4C23×D411yescharacteristic
1487C2×C4C2×H(5,𝔽2)11yescharacteristic
1488C2×C4C2×H(5,𝔽2)11yescharacteristic
1489C2×C4C2×H(5,𝔽2)11yescharacteristic
1490C2×C4#58511yescharacteristic
1491C2×C4#58511yescharacteristic
1492C8—22no—
1493C8—22no—
1494C8—41no—
1495C8—41no—
1496C8—41no—
1497C8—41no—
1498C8—41no—
1499C8—41no—
1500C22—22no—
1501C22—22no—
1502C22—22no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—42no—
1512C22—42no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—42no—
1522C22—42no—
1523C22—42no—
1524C22—42no—
1525C22—41no—
1526C22—41no—
1527C22—81no—
1528C22—81no—
1529C22—81no—
1530C22—81no—
1531C22—81no—
1532C22—81no—
1533C22—81no—
1534C22—81no—
1535C22—81no—
1536C22—81no—
1537C22—81no—
1538C22—81no—
1539C22—81no—
1540C22—81no—
1541C22—81no—
1542C22—81no—
1543C22—81no—
1544C22—81no—
1545C22—81no—
1546C22—81no—
1547C22—81no—
1548C22—81no—
1549C22—81no—
1550C22—81no—
1551C22—81no—
1552C22—81no—
1553C22—81no—
1554C22—81no—
1555C22—81no—
1556C22—168no—
1557C22C2×D4211yescharacteristic
1558C22#348411yescharacteristic
1559C22#350011yescharacteristic
1560C22#358411yescharacteristic
1561C22#358511yescharacteristic
1562C22#358511yescharacteristic
1563C22#358511yescharacteristic
1564C4—22no—
1565C4—41no—
1566C4—41no—
1567C4—42no—
1568C4—41no—
1569C4—41no—
1570C4—42no—
1571C4—42no—
1572C4—41no—
1573C4—41no—
1574C4—42no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—81no—
1580C4—81no—
1581C4—81no—
1582C4—81no—
1583C4—81no—
1584C4—81no—
1585C4—81no—
1586C4#348811yescharacteristic
1587C4#348811yescharacteristic
1588C4#353411yescharacteristic
1589C4#353411yescharacteristic
1590C2—42no—
1591C2—81no—
1592C2—81no—
1593C2—82no—
1594C2—82no—
1595C2—161no—
1596C2—161no—
1597C2—161no—
1598C2#4388911yescharacteristic
1599C2#6106311yescharacteristic
1600C2#6107711yescharacteristic
1601C2#6164811yescharacteristic
1602C2#6167811yescharacteristic
1603C2#6257311yescharacteristic
1604C2#6261311yescharacteristic
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×#3322C2semidirect
2. C2×#3307C2semidirect
3. #44892C2semidirect
4. #42952C2semidirect
5. #31140C2semidirect
6. #31128C2semidirect
7. #30895C2semidirect
8. #30886C2semidirect
9. #30729C2semidirect
10. #30725C2semidirect
11. #30471C2semidirect
12. #30447C2semidirect
13. #28587C2semidirect
14. #27284C2semidirect
15. #27276C2semidirect
16. #26905C2semidirect
17. #26888C2semidirect
18. #25734C2semidirect
19. #25426C2semidirect
20. #25419C2semidirect
21. #25133C2semidirect
22. #25124C2semidirect
23. #24454C2semidirect
24. #24451C2semidirect
25. #24451C2semidirect
26. #24434C2semidirect
27. #23973C2semidirect
28. #23962C2semidirect
29. #23509C2semidirect
30. #23125C2semidirect
31. #22092C2semidirect
42. C2×#491C22semidirect
45. C2×#483C22semidirect
48. C2×#478C22semidirect
51. C2×#469C22semidirect
53. C2×#468C22semidirect
56. C2×#461C22semidirect
61. C2×#449C22semidirect
62. C2×#449C22semidirect
65. C2×#442C22semidirect
71. C2×#417C22semidirect
90. #2454C22semidirect
91. #2454C22semidirect
93. #2442C22semidirect
94. #2442C22semidirect
98. #2428C22semidirect
99. #2428C22semidirect
106. #2416C22semidirect
107. #2416C22semidirect
114. #2085C22semidirect
115. #2074C22semidirect
116. #2066C22semidirect
119. #2054C22semidirect
120. #2043C22semidirect
130. #2041C22semidirect
131. #2036C22semidirect
134. #2034C22semidirect
135. #2026C22semidirect
138. #2025C22semidirect
139. #2014C22semidirect
140. #2013C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
148. #2000C22semidirect
153. #1999C22semidirect
155. #1968C22semidirect
158. #1943C22semidirect
159. #1941C22semidirect
161. #1935C22semidirect
162. #1934C22semidirect
163. #1933C22semidirect
164. #1926C22semidirect
165. #1925C22semidirect
166. #1924C22semidirect
167. #1923C22semidirect
168. #1921C22semidirect
169. #1920C22semidirect
170. #1917C22semidirect
171. #1916C22semidirect
174. #1894C22semidirect
176. #1880C22semidirect
177. #1880C22semidirect
181. #1879C22semidirect
182. #1879C22semidirect
183. #1877C22semidirect
186. #1874C22semidirect
188. #1872C22semidirect
190. #1870C22semidirect
191. #1870C22semidirect
193. #1865C22semidirect
194. #1865C22semidirect
196. #1862C22semidirect
200. #1788C22semidirect
201. #1753C22semidirect
202. #1753C22semidirect
307. #485D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33222
C2×#33072
#448922
#429522
#311402
#311282
#308952
#308862
#307292
#307252
#304712
#304472
#285872
#272842
#272762
#269052
#268882
#257342
#254262
#254192
#251332
#251242
#244542
#244512
#244342
#239732
#239622
#235092
#231252
#220922