Finite Group Databasebeta

← #7565435

Subgroups — #7565435

Order 512.

1767 conjugacy classes of subgroups.

The subgroup lattice has 1640 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#61385C211yesmaximal, characteristic, complemented
2#61333C211yesmaximal, characteristic, complemented
3#61206C211yesmaximal, characteristic, complemented
4#60626C211yesmaximal, characteristic, complemented
5#30939C211yesmaximal, characteristic, complemented
6#30939C211yesmaximal, characteristic, complemented
7#30839C211yesmaximal, characteristic, complemented
8#30837C211yesmaximal, characteristic, complemented
9#28674C211yesmaximal, characteristic, complemented
10#28435C211yesmaximal, characteristic, complemented
11#27812C211yesmaximal, characteristic, complemented
12#27807C211yesmaximal, characteristic, complemented
13#27290C211yesmaximal, characteristic, complemented
14#27288C211yesmaximal, characteristic, complemented
15#26855C211yesmaximal, characteristic, complemented
16#26850C211yesmaximal, characteristic, complemented
17#25984C211yesmaximal, characteristic, complemented
18#25982C211yesmaximal, characteristic, complemented
19#25918C211yesmaximal, characteristic, complemented
20#25698C211yesmaximal, characteristic, complemented
21#25362C211yesmaximal, characteristic, complemented
22#25315C211yesmaximal, characteristic, complemented
23#25187C211yesmaximal, characteristic, complemented
24#25187C211yesmaximal, characteristic, complemented
25#24325C211yesmaximal, characteristic, complemented
26#24230C211yesmaximal, characteristic
27#23236C211yesmaximal, characteristic, complemented
28#22897C211yesmaximal, characteristic, complemented
29#22891C211yesmaximal, characteristic, complemented
30#21629C211yesmaximal, characteristic, complemented
31#21557C211yesmaximal, characteristic, complemented
32#3507C2211yescharacteristic
33#3504C2211yescharacteristic
34#3501C2211yescharacteristic, complemented
35#3498C2211yescharacteristic
36#3389—21no—
37#3389—21no—
38#3388—21no—
39#3388—21no—
40#3386—21no—
41#3384—21no—
42#3381—21no—
43#3380—21no—
44#3376—21no—
45#3376—21no—
46#3372—21no—
47#3372—21no—
48#3370—21no—
49#3370—21no—
50#3367—21no—
51#3367—21no—
52#3333—21no—
53#3324—21no—
54#3317—21no—
55#3317—21no—
56#3310—21no—
57#3310—21no—
58#3304—21no—
59#3295—21no—
60#3166C2211yescharacteristic, complemented
61#3164C2211yescharacteristic, complemented
62#3163C2211yescharacteristic, complemented
63#3142—21no—
64#3142C2211yescharacteristic
65#3138—21no—
66#3138C2211yescharacteristic
67#3138C2211yescharacteristic
68#3137C2211yescharacteristic, complemented
69#3137C2211yescharacteristic, complemented
70#3136—21no—
71#3136—21no—
72#3136—21no—
73#3136—21no—
74#3136C2211yescharacteristic
75#3136C2211yescharacteristic
76#3136C2211yescharacteristic
77#3136C2211yescharacteristic
78#3135—21no—
79#3135C2211yescharacteristic
80C2×#490—21no—
81C2×#490C2211yescharacteristic
82#3096C2211yescharacteristic
83#3096C2211yescharacteristic
84#3084C2211yescharacteristic
85#3083C2211yescharacteristic
86#3083C2211yescharacteristic, complemented
87#3083C2211yescharacteristic, complemented
88#3081C2211yescharacteristic, complemented
89#3081C2211yescharacteristic, complemented
90#3078C2211yescharacteristic, complemented
91#3076C2211yescharacteristic
92C2×#478C2211yescharacteristic, complemented
93C2×#471C2211yescharacteristic
94#3057C2211yescharacteristic
95#3057C2211yescharacteristic
96#3042C2211yescharacteristic, complemented
97#3042C2211yescharacteristic, complemented
98#3036C2211yescharacteristic
99C2×#460C2211yescharacteristic
100C2×#453C2211yescharacteristic
101C2×#453C2211yescharacteristic
102#3009C2211yescharacteristic
103#3009C2211yescharacteristic
104#2962C2211yescharacteristic, complemented
105#2961C2211yescharacteristic, complemented
106#2946C2211yescharacteristic
107#2946C2211yescharacteristic
108#2946C2211yescharacteristic, complemented
109#2946C2211yescharacteristic, complemented
110C4×#137C2211yescharacteristic
111C4×AGL(1,ℤ/8)C2211yescharacteristic
112C2×#440C2211yescharacteristic, complemented
113#2935C2211yescharacteristic
114#2897C2211yescharacteristic
115#2897C2211yescharacteristic
116#2897C2211yescharacteristic
117#2897C2211yescharacteristic
118#2897C2211yescharacteristic
119#2897C2211yescharacteristic
120#2875C2211yescharacteristic
121#2565C2211yescharacteristic, complemented
122#2541C2211yescharacteristic
123#2093C2211yescharacteristic, complemented
124#2092C2211yescharacteristic, complemented
125#2079C2211yescharacteristic, complemented
126#2078C2211yescharacteristic, complemented
127#2063C2211yescharacteristic, complemented
128#2063C2211yescharacteristic, complemented
129#2063C2211yescharacteristic, complemented
130#2063C2211yescharacteristic, complemented
131#2063C2211yescharacteristic, complemented
132#2063C2211yescharacteristic, complemented
133#2061C2211yescharacteristic, complemented
134#2060C2211yescharacteristic, complemented
135#2051C2211yescharacteristic, complemented
136#2051C2211yescharacteristic, complemented
137#2046C2211yescharacteristic, complemented
138#2046C2211yescharacteristic, complemented
139#2038C2211yescharacteristic, complemented
140#2038C2211yescharacteristic, complemented
141#2038C2211yescharacteristic, complemented
142#2038C2211yescharacteristic, complemented
143#2037C2211yescharacteristic
144#2037C2211yescharacteristic
145#2028C2211yescharacteristic, complemented
146#2028C2211yescharacteristic, complemented
147#2027C2211yescharacteristic, complemented
148#2027C2211yescharacteristic, complemented
149#2027C2211yescharacteristic, complemented
150#2027C2211yescharacteristic, complemented
151#2014C2211yescharacteristic, complemented
152#2014C2211yescharacteristic, complemented
153#2002C2211yescharacteristic
154#2002C2211yescharacteristic
155#1998C2211yescharacteristic, complemented
156#1986C2211yescharacteristic, complemented
157#1986C2211yescharacteristic, complemented
158#1980C2211yescharacteristic
159#1977C2211yescharacteristic, complemented
160#1977C2211yescharacteristic, complemented
161#1977C2211yescharacteristic, complemented
162#1973C2211yescharacteristic, complemented
163#1968C2211yescharacteristic, complemented
164#1965C2211yescharacteristic
165#1961C2211yescharacteristic, complemented
166#1957C2211yescharacteristic, complemented
167#1952C2211yescharacteristic, complemented
168#1950C2211yescharacteristic, complemented
169#1938C2211yescharacteristic, complemented
170#1937C2211yescharacteristic, complemented
171#1931C2211yescharacteristic, complemented
172#1931C2211yescharacteristic, complemented
173#1931C2211yescharacteristic, complemented
174#1931C2211yescharacteristic, complemented
175#1931C2211yescharacteristic, complemented
176#1931C2211yescharacteristic, complemented
177#1931C2211yescharacteristic, complemented
178#1930C2211yescharacteristic, complemented
179#1929C2211yescharacteristic, complemented
180#1929C2211yescharacteristic, complemented
181#1922C2211yescharacteristic, complemented
182#1922C2211yescharacteristic, complemented
183#1908C2211yescharacteristic
184#1907C2211yescharacteristic
185#1907C2211yescharacteristic, complemented
186#1907C2211yescharacteristic, complemented
187#1887C2211yescharacteristic, complemented
188#1887C2211yescharacteristic, complemented
189#1887C2211yescharacteristic, complemented
190#1887C2211yescharacteristic, complemented
191#1882C2211yescharacteristic
192#1882C2211yescharacteristic
193#1866C2211yescharacteristic
194#1866C2211yescharacteristic
195#1866C2211yescharacteristic, complemented
196#1866C2211yescharacteristic, complemented
197#1860C2211yescharacteristic
198#1860C2211yescharacteristic, complemented
199#1860C2211yescharacteristic, complemented
200#1859C2211yescharacteristic
201#1859C2211yescharacteristic, complemented
202#1859C2211yescharacteristic, complemented
203#1816C2211yescharacteristic
204#1816C2211yescharacteristic, complemented
205#1815C2211yescharacteristic, complemented
206#1806C2211yescharacteristic
207#1792C2211yescharacteristic
208#1792C2211yescharacteristic
209#1778C2211yescharacteristic, complemented
210#1773C2211yescharacteristic, complemented
211#1772C2211yescharacteristic, complemented
212#1771C2211yescharacteristic, complemented
213#1765C2211yescharacteristic
214#1765C2211yescharacteristic, complemented
215#1764C2211yescharacteristic
216#1764C2211yescharacteristic, complemented
217C4×#101C2211yescharacteristic, complemented
218C4×#100C2211yescharacteristic, complemented
219C2×H(5,𝔽2)C2311yescharacteristic
220C2×H(5,𝔽2)C2311yescharacteristic
221C2×#137C2311yescharacteristic
222C2×AGL(1,ℤ/8)C2311yescharacteristic
223C2×AGL(1,ℤ/8)C2311yescharacteristic
224C2×AGL(1,ℤ/8)C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C2×#131C2311yescharacteristic
229C2×#131C2311yescharacteristic
230C2×#131C2311yescharacteristic
231C2×#131C2311yescharacteristic
232#559—21no—
233#557—21no—
234#557—21no—
235#557—21no—
236#556—21no—
237#556—21no—
238#556—21no—
239#554—21no—
240#554—21no—
241#554—21no—
242#554—21no—
243#554—21no—
244#554—21no—
245#554—21no—
246#554—21no—
247#554—21no—
248#554—41no—
249#554—41no—
250#552—21no—
251#552—21no—
252#550—21no—
253#550—21no—
254D4×Q8—21no—
255D4×Q8—21no—
256D42—21no—
257D42—21no—
258D42—41no—
259D42—41no—
260#544—21no—
261#544—21no—
262#544C2311yescharacteristic
263#544C2311yescharacteristic
264#544C2311yescharacteristic
265#544C2311yescharacteristic
266#543—41no—
267#539—41no—
268#536C2311yescharacteristic
269#536C2311yescharacteristic
270#535—21no—
271#535—21no—
272#535C2311yescharacteristic
273#535C2311yescharacteristic
274#533—21no—
275#533C2311yescharacteristic
276#533C2311yescharacteristic
277#532—21no—
278#532C2311yescharacteristic
279C2×#127—21no—
280C2×#127C2311yescharacteristic
281C2×#127C2311yescharacteristic
282C2×#127C2311yescharacteristic
283#529—41no—
284C2×#125—21no—
285C2×#125C2311yescharacteristic
286C2×C22⋊Q8—41no—
287C2×#121—41no—
288#520C2311yescharacteristic
289#520C2311yescharacteristic
290#520C2311yescharacteristic
291#520C2311yescharacteristic
292#518C2311yescharacteristic
293#518C2311yescharacteristic
294C4×#41C2311yescharacteristic
295C2×C4×Q8C2311yescharacteristic
296C2×C4×D4C2311yescharacteristic
297#501—21no—
298#501—21no—
299#501—21no—
300#501—21no—
301#501—21no—
302#501—21no—
303#500—21no—
304#499—21no—
305#499—21no—
306#499—21no—
307#499—21no—
308#498—21no—
309#491—21no—
310#491—21no—
311#491—21no—
312#491D411yescharacteristic, complemented
313#491D411yescharacteristic, complemented
314#490—21no—
315#490—21no—
316#490—21no—
317#490—21no—
318#490—21no—
319#490—21no—
320#490—21no—
321#490—21no—
322#490—21no—
323#490—21no—
324#490—21no—
325#490—21no—
326#490—21no—
327#490D411yescharacteristic, complemented
328#490D411yescharacteristic, complemented
329#489—21no—
330#489—21no—
331#489—21no—
332#489—21no—
333#489—21no—
334#489—21no—
335#489D411yescharacteristic, complemented
336#489D411yescharacteristic, complemented
337#489D411yescharacteristic, complemented
338#489D411yescharacteristic, complemented
339#488—21no—
340#488—21no—
341#488—21no—
342#488—21no—
343#488—21no—
344#488—21no—
345#488—21no—
346#488—21no—
347#487—21no—
348#487—21no—
349#486—21no—
350#486—21no—
351#486—21no—
352#486—21no—
353#486—21no—
354#486—21no—
355#486—21no—
356#486—21no—
357#482—21no—
358#482—21no—
359#482—21no—
360#482—21no—
361#481—21no—
362#481—21no—
363#480—21no—
364#480—21no—
365#479—21no—
366#479—21no—
367#479—21no—
368#479—21no—
369#479—21no—
370#479—21no—
371#479D411yescharacteristic, complemented
372#479D411yescharacteristic, complemented
373#478—21no—
374#478—21no—
375#478—21no—
376#478—21no—
377#478—21no—
378#478—21no—
379#478—21no—
380#478—21no—
381#478—21no—
382#478—21no—
383#478—21no—
384#478—21no—
385#478D411yescharacteristic, complemented
386#478D411yescharacteristic, complemented
387#477—21no—
388#477—21no—
389#477—21no—
390#477—21no—
391#477D411yescharacteristic, complemented
392#476—21no—
393#476—21no—
394#476—21no—
395#476D411yescharacteristic, complemented
396#475—21no—
397#475—21no—
398#475D411yescharacteristic, complemented
399#474—21no—
400#474—21no—
401#474—21no—
402#474—21no—
403#474—21no—
404#474D411yescharacteristic, complemented
405#471—24no—
406#468—21no—
407#468—21no—
408#468—21no—
409#468—21no—
410#465—21no—
411#465—21no—
412#465—21no—
413#465—21no—
414#463—21no—
415#463—21no—
416#463—21no—
417#463—21no—
418#463—21no—
419#463—21no—
420#461—21no—
421#461—21no—
422#461—21no—
423#461—21no—
424#461—21no—
425#460—21no—
426#460—21no—
427#460—21no—
428#460—21no—
429#459—21no—
430#453—24no—
431#453—24no—
432#452—21no—
433#452—21no—
434#452—21no—
435#452—21no—
436#450—21no—
437#450—21no—
438#450—21no—
439#450—21no—
440#446—21no—
441#446—21no—
442#446—21no—
443#446—21no—
444#446—21no—
445#446—21no—
446#446—21no—
447C8×Q8—21no—
448#442—21no—
449#442—21no—
450#442—21no—
451#442—21no—
452#442—21no—
453#441—21no—
454#440—21no—
455#440—21no—
456#440—21no—
457#440—21no—
458#440—21no—
459#440—21no—
460#440—21no—
461#440—21no—
462#440—21no—
463#440—21no—
464C4×Q16—21no—
465C4×SD16—21no—
466C4×SD16—21no—
467C4×SD16—21no—
468C4×SD16—21no—
469C4×SD16—21no—
470C4×SD16—21no—
471C4×D8—21no—
472C4×D8—21no—
473C4×D8—21no—
474C4×D8—21no—
475C4×D8—21no—
476#436—21no—
477#435—21no—
478#435—21no—
479C8×D4—21no—
480C2×#108C2311yescharacteristic
481C2×#108C2311yescharacteristic
482C2×#108C2311yescharacteristic
483C2×#108C2311yescharacteristic
484#428C2311yescharacteristic
485#428C2311yescharacteristic
486#428C2311yescharacteristic
487#428C2311yescharacteristic
488#428C2311yescharacteristic
489#428C2311yescharacteristic
490#428C2311yescharacteristic
491#428C2311yescharacteristic
492#427C2311yescharacteristic
493#427C2311yescharacteristic
494C2×#107C2311yescharacteristic
495C2×#107C2311yescharacteristic
496C2×#106C2311yescharacteristic
497#424C2311yescharacteristic
498#424C2311yescharacteristic
499#424C2311yescharacteristic
500#424C2311yescharacteristic
501#423C2311yescharacteristic
502C2×C4⋊C8C2311yescharacteristic
503C2×#104C2311yescharacteristic
504C2×#104C2311yescharacteristic
505C2×#104C2311yescharacteristic
506C2×#104C2311yescharacteristic
507C2×#104C2311yescharacteristic
508C2×#104C2311yescharacteristic
509#419C2311yescharacteristic
510#419C2311yescharacteristic
511#419C2311yescharacteristic
512#418—21no—
513#418—21no—
514#418—21no—
515#418—21no—
516#418—21no—
517#418—21no—
518#418C2311yescharacteristic
519#418C2311yescharacteristic
520#418C2311yescharacteristic
521#418C2311yescharacteristic
522#418C2311yescharacteristic
523#418C2311yescharacteristic
524#418C2311yescharacteristic
525#418C2311yescharacteristic
526#418C2311yescharacteristic
527#417—21no—
528#417—21no—
529#417—21no—
530#417—21no—
531#417—21no—
532#417—21no—
533#417C2311yescharacteristic
534#417C2311yescharacteristic
535#417C2311yescharacteristic
536#417C2311yescharacteristic
537#417C2311yescharacteristic
538#417C2311yescharacteristic
539#417C2311yescharacteristic
540#417C2311yescharacteristic
541#416—21no—
542#416—21no—
543#416—21no—
544#416—21no—
545#416—21no—
546#416—21no—
547#416C2311yescharacteristic
548#416C2311yescharacteristic
549#416C2311yescharacteristic
550#416C2311yescharacteristic
551#416C2311yescharacteristic
552#416C2311yescharacteristic
553C2×#103C2311yescharacteristic
554C2×#102—21no—
555C2×#102—21no—
556C2×#102—21no—
557C2×#102—21no—
558C2×#102—21no—
559C2×#102—21no—
560C2×#102C2311yescharacteristic
561C2×#102C2311yescharacteristic
562C2×#102C2311yescharacteristic
563C2×#102C2311yescharacteristic
564C2×#102C2311yescharacteristic
565C2×#102C2311yescharacteristic
566C2×#102C2311yescharacteristic
567C2×#102C2311yescharacteristic
568C2×#102C2311yescharacteristic
569C2×#101C2311yescharacteristic
570C2×#101C2311yescharacteristic
571C2×#100C2311yescharacteristic
572C2×#100C2311yescharacteristic
573C2×#100C2311yescharacteristic
574C2×#100C2311yescharacteristic
575C2×#100C2311yescharacteristic
576C2×#100C2311yescharacteristic
577#408C2311yescharacteristic
578#408C2311yescharacteristic
579#405—21no—
580#405—21no—
581#405C2311yescharacteristic
582#405C2311yescharacteristic
583#405C2311yescharacteristic
584#405C2311yescharacteristic
585#405C2311yescharacteristic
586#405C2311yescharacteristic
587C4×M16—21no—
588C4×M16C2311yescharacteristic
589C4×M16C2311yescharacteristic
590C4×M16C2311yescharacteristic
591C2×#97—21no—
592C2×#97C2311yescharacteristic
593C2×#97C2311yescharacteristic
594C2×C4×C8C2311yescharacteristic
595#398—41no—
596#392—41no—
597#391C2311yescharacteristic
598#391C2311yescharacteristic
599#390C2311yescharacteristic
600#390C2311yescharacteristic
601#387—41no—
602#384C2311yescharacteristic
603#382C2311yescharacteristic
604C4×C4⋊C4C2311yescharacteristic
605#343C2311yescharacteristic
606#343C2311yescharacteristic
607#343C2311yescharacteristic
608#343C2311yescharacteristic
609#343C2311yescharacteristic
610#343C2311yescharacteristic
611#343C2311yescharacteristic
612#343C2311yescharacteristic
613#341C2311yescharacteristic
614#341C2311yescharacteristic
615#341C2311yescharacteristic
616#341C2311yescharacteristic
617#339C2311yescharacteristic
618#339C2311yescharacteristic
619#339C2311yescharacteristic
620#339C2311yescharacteristic
621#339C2311yescharacteristic
622#339C2311yescharacteristic
623#339C2311yescharacteristic
624#339C2311yescharacteristic
625#339C2311yescharacteristic
626#339C2311yescharacteristic
627#336C2311yescharacteristic
628#336C2311yescharacteristic
629H(5,𝔽2)—22no—
630H(5,𝔽2)—22no—
631H(5,𝔽2)—22no—
632H(5,𝔽2)—22no—
633H(5,𝔽2)—41no—
634H(5,𝔽2)—41no—
635H(5,𝔽2)—41no—
636H(5,𝔽2)—41no—
637C2×#41—21no—
638C2×#41—21no—
639C2×#41—21no—
640C2×#41—21no—
641C2×#41C2411yescharacteristic
642C2×#41C2411yescharacteristic
643C2×#41C2411yescharacteristic
644C22×Q8—41no—
645C22×Q8C2411yescharacteristic
646C22×D4—21no—
647C22×D4—21no—
648C22×D4—21no—
649C22×D4—21no—
650C22×D4—21no—
651C22×D4—21no—
652C22×D4—41no—
653C22×D4—41no—
654C22×D4—41no—
655C22×D4—41no—
656C22×D4—41no—
657C22×D4—41no—
658C22×D4C2411yescharacteristic
659C22×D4C2411yescharacteristic
660C22×D4C2411yescharacteristic
661C23×C4—21no—
662#137—22no—
663#137—22no—
664AGL(1,ℤ/8)—22no—
665AGL(1,ℤ/8)—22no—
666AGL(1,ℤ/8)—22no—
667AGL(1,ℤ/8)—41no—
668AGL(1,ℤ/8)—41no—
669AGL(1,ℤ/8)#4114yes—
670C2×Q16—21no—
671C2×SD16—21no—
672C2×SD16—21no—
673C2×SD16—21no—
674C2×SD16—21no—
675C2×SD16—22no—
676C2×SD16—21no—
677C2×SD16—21no—
678C2×SD16—21no—
679C2×SD16—21no—
680C2×SD16—21no—
681C2×SD16—21no—
682C2×SD16—41no—
683C2×SD16—41no—
684C2×SD16—41no—
685C2×SD16—41no—
686C2×SD16—41no—
687C2×D8—21no—
688C2×D8—21no—
689C2×D8—21no—
690#131—22no—
691#131—22no—
692#131—41no—
693#131—41no—
694#131—41no—
695#131—41no—
696#131—41no—
697#131—41no—
698C2×M16—21no—
699C2×M16—21no—
700C2×M16—21no—
701C2×M16—21no—
702C2×M16C2411yescharacteristic
703C2×M16C2411yescharacteristic
704C2×M16C2411yescharacteristic
705C2×M16C2411yescharacteristic
706C2×M16C2411yescharacteristic
707C2×M16C2411yescharacteristic
708C2×M16C2411yescharacteristic
709C2×M16C2411yescharacteristic
710C22×C8—21no—
711C22×C8—21no—
712C22×C8—21no—
713C22×C8—21no—
714C22×C8C2411yescharacteristic
715C22×C8C2411yescharacteristic
716C22×C8C2411yescharacteristic
717C22×C8C2411yescharacteristic
718C4⋊Q8—21no—
719C4⋊Q8—21no—
720C4⋊Q8—21no—
721C4⋊Q8—21no—
722C4⋊Q8—21no—
723C4⋊Q8—21no—
724C4⋊Q8—21no—
725C4⋊Q8—21no—
726C4⋊Q8—21no—
727C4⋊Q8—21no—
728C4⋊Q8—41no—
729C4⋊Q8—41no—
730C4⋊Q8C2×D411yescharacteristic
731C4⋊Q8C2×D411yescharacteristic
732C4⋊Q8C2×D411yescharacteristic
733C4⋊Q8C2×D411yescharacteristic
734C4⋊Q8C2×D411yescharacteristic
735#127—21no—
736#127—21no—
737#127—22no—
738#127—22no—
739#127—21no—
740#127—21no—
741#127—21no—
742#127—21no—
743#127—41no—
744#127—41no—
745#127—41no—
746#127—41no—
747#127C2×D411yescharacteristic
748#126—41no—
749#126—41no—
750#126—41no—
751#126—41no—
752#125—21no—
753#125—21no—
754#125—21no—
755#125—21no—
756#125—21no—
757#125—21no—
758#125—21no—
759#125—21no—
760#125—21no—
761#125—21no—
762#125—21no—
763#125—21no—
764#125—41no—
765#125—41no—
766#125—41no—
767#125—41no—
768#125—41no—
769#125—41no—
770#125—41no—
771#125C2×D411yescharacteristic
772#125C2×D411yescharacteristic
773#125C2×D411yescharacteristic
774#125C2×D411yescharacteristic
775#124—21no—
776#124—21no—
777#124—21no—
778#124—21no—
779#124—41no—
780#124C2×D411yescharacteristic
781#124C2×D411yescharacteristic
782#123—41no—
783#123—41no—
784#123—41no—
785#123—41no—
786C22⋊Q8—21no—
787C22⋊Q8—21no—
788C22⋊Q8—21no—
789C22⋊Q8—21no—
790C22⋊Q8—21no—
791C22⋊Q8—21no—
792C22⋊Q8—21no—
793C22⋊Q8—21no—
794C22⋊Q8—41no—
795C22⋊Q8—41no—
796C22⋊Q8—41no—
797C22⋊Q8—41no—
798C22⋊Q8—41no—
799C22⋊Q8—41no—
800C22⋊Q8—41no—
801C22⋊Q8—41no—
802C22⋊Q8—41no—
803C22⋊Q8—41no—
804C22⋊Q8—41no—
805C22⋊Q8—41no—
806C22⋊Q8—41no—
807C22⋊Q8—41no—
808C22⋊Q8—41no—
809C22⋊Q8—41no—
810C22⋊Q8—41no—
811C22⋊Q8—41no—
812C22⋊Q8—41no—
813C22⋊Q8—41no—
814C22⋊Q8—41no—
815C22⋊Q8—41no—
816C22⋊Q8—41no—
817C22⋊Q8—41no—
818#121—21no—
819#121—21no—
820#121—21no—
821#121—21no—
822#121—21no—
823#121—21no—
824#121—41no—
825#121—41no—
826#121—41no—
827#121—41no—
828#121—41no—
829#121—41no—
830#121—84no—
831#120—41no—
832#120—41no—
833#120—41no—
834#120—41no—
835#120—41no—
836#120—41no—
837C4×Q8—21no—
838C4×Q8—21no—
839C4×Q8—21no—
840C4×Q8—21no—
841C4×Q8—21no—
842C4×Q8—21no—
843C4×Q8—21no—
844C4×Q8—21no—
845C4×Q8—21no—
846C4×Q8—21no—
847C4×Q8—21no—
848C4×Q8—21no—
849C4×Q8—41no—
850C4×Q8—41no—
851C4×Q8—41no—
852C4×Q8C2×D411yescharacteristic
853C4×Q8C2×D411yescharacteristic
854C4×D4—21no—
855C4×D4—21no—
856C4×D4—21no—
857C4×D4—21no—
858C4×D4—21no—
859C4×D4—21no—
860C4×D4—21no—
861C4×D4—21no—
862C4×D4—21no—
863C4×D4—21no—
864C4×D4—21no—
865C4×D4—21no—
866C4×D4—21no—
867C4×D4—21no—
868C4×D4—21no—
869C4×D4—21no—
870C4×D4—21no—
871C4×D4—21no—
872C4×D4—21no—
873C4×D4—21no—
874C4×D4—41no—
875C4×D4—41no—
876C4×D4—41no—
877C4×D4—41no—
878C4×D4—41no—
879C4×D4—41no—
880C4×D4—41no—
881C4×D4C2×D411yescharacteristic
882C4×D4C2×D411yescharacteristic
883#117—21no—
884#117—21no—
885#117—21no—
886#117—21no—
887#117—21no—
888#117—41no—
889#117—41no—
890#117C2411yescharacteristic
891#117C2411yescharacteristic
892#117C2411yescharacteristic
893#117C2411yescharacteristic
894#117C2411yescharacteristic
895C2×C4⋊C4—21no—
896C2×C4⋊C4—21no—
897C2×C4⋊C4—21no—
898C2×C4⋊C4—21no—
899C2×C4⋊C4—21no—
900C2×C4⋊C4—21no—
901C2×C4⋊C4—21no—
902C2×C4⋊C4—21no—
903C2×C4⋊C4—41no—
904C2×C4⋊C4—41no—
905C2×C4⋊C4—41no—
906C2×C4⋊C4—41no—
907C2×C4⋊C4—41no—
908C2×C4⋊C4—41no—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C22⋊C4—21no—
914C2×C22⋊C4—41no—
915C2×C22⋊C4—41no—
916C2×C22⋊C4—41no—
917C2×C22⋊C4—41no—
918C2×C42—21no—
919C2×C42—21no—
920C2×C42C2411yescharacteristic
921C2×C42C2411yescharacteristic
922C2×C42C2411yescharacteristic
923#108—22no—
924#108—41no—
925#108—41no—
926#108—41no—
927#107—21no—
928#107—21no—
929#107—21no—
930#107—21no—
931#107—21no—
932#107—21no—
933#107—21no—
934#107—21no—
935#107—21no—
936#107—21no—
937#107—21no—
938#107—21no—
939#107C2×D411yescharacteristic
940#107C2×D411yescharacteristic
941#107C2×D411yescharacteristic
942#107C2×D411yescharacteristic
943#106—21no—
944#106—21no—
945#106—21no—
946#106—21no—
947#106—21no—
948#106—21no—
949#106—21no—
950#106—21no—
951#106—21no—
952#106—21no—
953#106C2×D411yescharacteristic
954#106C2×D411yescharacteristic
955#106C2×D411yescharacteristic
956#106C2×D411yescharacteristic
957C4⋊C8—21no—
958C4⋊C8—21no—
959C4⋊C8—21no—
960C4⋊C8—21no—
961C4⋊C8—21no—
962C4⋊C8—21no—
963C4⋊C8—21no—
964C4⋊C8—21no—
965C4⋊C8—21no—
966C4⋊C8—21no—
967C4⋊C8C2×D411yescharacteristic
968C4⋊C8C2×D411yescharacteristic
969C4⋊C8C2×D411yescharacteristic
970C4⋊C8C2×D411yescharacteristic
971#104—22no—
972#104—22no—
973#104—22no—
974#104—22no—
975#104—41no—
976#104—41no—
977#103—21no—
978#103—21no—
979#103—21no—
980#103—21no—
981#103—21no—
982#103—21no—
983#103—21no—
984#103—21no—
985#103—21no—
986#103—21no—
987#103—21no—
988#103—21no—
989#103—21no—
990#103—21no—
991#103—21no—
992#103—21no—
993#103C2×D411yescharacteristic
994#103C2×D411yescharacteristic
995#103C2×D411yescharacteristic
996#103C2×D411yescharacteristic
997#103C2×D411yescharacteristic
998#103C2×D411yescharacteristic
999#103C2×D411yescharacteristic
1000#103C2×D411yescharacteristic
1001#103C2×D411yescharacteristic
1002#103C2×D411yescharacteristic
1003#103C2×D411yescharacteristic
1004#103C2×D411yescharacteristic
1005#102—21no—
1006#102—21no—
1007#102—21no—
1008#102—21no—
1009#102—21no—
1010#102—21no—
1011#102—21no—
1012#102—21no—
1013#102—21no—
1014#102—21no—
1015#102—21no—
1016#102—21no—
1017#102—21no—
1018#102—21no—
1019#102—21no—
1020#102—21no—
1021#102—21no—
1022#102—21no—
1023#102—21no—
1024#102—21no—
1025#102—21no—
1026#102—21no—
1027#102—21no—
1028#102—21no—
1029#102—21no—
1030#102—21no—
1031#102—21no—
1032#102—21no—
1033#102—21no—
1034#102—21no—
1035#102—21no—
1036#102—21no—
1037#102—21no—
1038#102—21no—
1039#102—21no—
1040#102—21no—
1041#102—21no—
1042#102—21no—
1043#102—21no—
1044#102—21no—
1045#102—21no—
1046#102—21no—
1047#102—21no—
1048#102—21no—
1049#102C2×D411yescharacteristic
1050#102C2×D411yescharacteristic
1051#102C2×D411yescharacteristic
1052#102C2×D411yescharacteristic
1053#102C2×D411yescharacteristic
1054#102C2×D411yescharacteristic
1055#102C2×D411yescharacteristic
1056#102C2×D411yescharacteristic
1057#102C2×D411yescharacteristic
1058#102C2×D411yescharacteristic
1059#102C2×D411yescharacteristic
1060#102C2×D411yescharacteristic
1061#101—22no—
1062#101—41no—
1063#100—22no—
1064#100—22no—
1065#100—22no—
1066#100—41no—
1067#100—41no—
1068#100—41no—
1069C22⋊C8—21no—
1070C22⋊C8—21no—
1071C22⋊C8—21no—
1072C22⋊C8—21no—
1073#97—21no—
1074#97—21no—
1075#97—21no—
1076#97—21no—
1077#97—21no—
1078#97—21no—
1079#97—21no—
1080#97—21no—
1081#97—21no—
1082#97—41no—
1083#97C2×D411yescharacteristic
1084#97C2×D411yescharacteristic
1085#97C2×D411yescharacteristic
1086#97C2×D411yescharacteristic
1087C4×C8—21no—
1088C4×C8—21no—
1089C4×C8—21no—
1090C4×C8—21no—
1091C4×C8—21no—
1092C4×C8—21no—
1093C4×C8—21no—
1094C4×C8—21no—
1095C4×C8—21no—
1096C4×C8—41no—
1097#95—21no—
1098#95—41no—
1099#95—41no—
1100#95—41no—
1101C24—21no—
1102C24—21no—
1103C24—21no—
1104C24—41no—
1105C24—41no—
1106#41—21no—
1107#41—21no—
1108#41—21no—
1109#41—21no—
1110#41—21no—
1111#41—21no—
1112#41—21no—
1113#41—21no—
1114#41—21no—
1115#41—21no—
1116#41—42no—
1117#41—42no—
1118#41—42no—
1119#41—42no—
1120#41—42no—
1121#41—42no—
1122#41—81no—
1123#41—81no—
1124#41C2×#4112yes—
1125#412−1+412yes—
1126C2×Q8—21no—
1127C2×Q8—21no—
1128C2×Q8—21no—
1129C2×Q8—21no—
1130C2×Q8—21no—
1131C2×Q8—21no—
1132C2×Q8—21no—
1133C2×Q8—21no—
1134C2×Q8—21no—
1135C2×Q8—21no—
1136C2×Q8—41no—
1137C2×Q8—41no—
1138C2×Q8—41no—
1139C2×Q8—41no—
1140C2×Q8—162no—
1141C2×Q8C22×D411yescharacteristic
1142C2×Q8C22×D411yescharacteristic
1143C2×Q8C22×D411yescharacteristic
1144C2×D4—21no—
1145C2×D4—21no—
1146C2×D4—21no—
1147C2×D4—21no—
1148C2×D4—21no—
1149C2×D4—21no—
1150C2×D4—21no—
1151C2×D4—21no—
1152C2×D4—21no—
1153C2×D4—21no—
1154C2×D4—21no—
1155C2×D4—21no—
1156C2×D4—21no—
1157C2×D4—21no—
1158C2×D4—21no—
1159C2×D4—21no—
1160C2×D4—21no—
1161C2×D4—21no—
1162C2×D4—21no—
1163C2×D4—21no—
1164C2×D4—21no—
1165C2×D4—21no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C2×D4—42no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—42no—
1179C2×D4—42no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—82no—
1185C2×D4—81no—
1186C2×D4—81no—
1187C2×D4—82no—
1188C2×D4—82no—
1189C2×D4—82no—
1190C2×D4—82no—
1191C2×D4—82no—
1192C2×D4—82no—
1193C2×D4—82no—
1194C2×D4—82no—
1195C2×D4—161no—
1196C2×D4—161no—
1197C2×D4—161no—
1198C2×D4—162no—
1199C2×D4—162no—
1200C2×D4C22×D411yescharacteristic
1201C2×D4C22×D411yescharacteristic
1202C2×D4C22×D411yescharacteristic
1203C2×D4C2×#4112yes—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—21no—
1214C22×C4—21no—
1215C22×C4—21no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—82no—
1229C22×C4H(5,𝔽2)11yescharacteristic
1230C22×C4H(5,𝔽2)11yescharacteristic
1231C22×C4C2511yescharacteristic
1232Q16—42no—
1233SD16—24no—
1234SD16—42no—
1235SD16—42no—
1236SD16—42no—
1237SD16—42no—
1238SD16—42no—
1239SD16—81no—
1240SD16—81no—
1241SD16—81no—
1242SD16—81no—
1243D8—24no—
1244D8—42no—
1245D8—42no—
1246M16—21no—
1247M16—21no—
1248M16—21no—
1249M16—21no—
1250M16—21no—
1251M16—21no—
1252M16—21no—
1253M16—21no—
1254M16—21no—
1255M16—21no—
1256M16—21no—
1257M16—21no—
1258M16—21no—
1259M16—21no—
1260M16—21no—
1261M16—42no—
1262M16—42no—
1263M16—81no—
1264M16—81no—
1265M16C2×#4112yes—
1266C2×C8—21no—
1267C2×C8—21no—
1268C2×C8—21no—
1269C2×C8—21no—
1270C2×C8—21no—
1271C2×C8—21no—
1272C2×C8—21no—
1273C2×C8—21no—
1274C2×C8—21no—
1275C2×C8—21no—
1276C2×C8—21no—
1277C2×C8—21no—
1278C2×C8—21no—
1279C2×C8—21no—
1280C2×C8—21no—
1281C2×C8—21no—
1282C2×C8—42no—
1283C2×C8—42no—
1284C2×C8—81no—
1285C2×C8—81no—
1286C2×C8C22×D411yescharacteristic
1287C2×C8C22×D411yescharacteristic
1288C2×C8C22×D411yescharacteristic
1289C2×C8C22×D411yescharacteristic
1290C2×C8C22×D411yescharacteristic
1291C2×C8C22×D411yescharacteristic
1292C2×C8C22×D411yescharacteristic
1293C2×C8C22×D411yescharacteristic
1294C4⋊C4—21no—
1295C4⋊C4—21no—
1296C4⋊C4—21no—
1297C4⋊C4—21no—
1298C4⋊C4—21no—
1299C4⋊C4—21no—
1300C4⋊C4—21no—
1301C4⋊C4—21no—
1302C4⋊C4—21no—
1303C4⋊C4—21no—
1304C4⋊C4—21no—
1305C4⋊C4—21no—
1306C4⋊C4—21no—
1307C4⋊C4—21no—
1308C4⋊C4—21no—
1309C4⋊C4—21no—
1310C4⋊C4—21no—
1311C4⋊C4—21no—
1312C4⋊C4—21no—
1313C4⋊C4—21no—
1314C4⋊C4—21no—
1315C4⋊C4—21no—
1316C4⋊C4—21no—
1317C4⋊C4—21no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C4⋊C4—41no—
1333C4⋊C4—41no—
1334C4⋊C4—41no—
1335C4⋊C4—41no—
1336C4⋊C4—41no—
1337C4⋊C4—41no—
1338C4⋊C4—42no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—82no—
1346C4⋊C4C22×D411yescharacteristic
1347C4⋊C4C22×D411yescharacteristic
1348C4⋊C4C22×D411yescharacteristic
1349C4⋊C4C22×D411yescharacteristic
1350C4⋊C4C22×D411yescharacteristic
1351C4⋊C4C22×D411yescharacteristic
1352C4⋊C4C22×D411yescharacteristic
1353C4⋊C4C22×D411yescharacteristic
1354C4⋊C4C22×D411yescharacteristic
1355C4⋊C4C22×D411yescharacteristic
1356C22⋊C4—21no—
1357C22⋊C4—21no—
1358C22⋊C4—21no—
1359C22⋊C4—21no—
1360C22⋊C4—21no—
1361C22⋊C4—21no—
1362C22⋊C4—21no—
1363C22⋊C4—21no—
1364C22⋊C4—21no—
1365C22⋊C4—21no—
1366C22⋊C4—21no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—82no—
1386C22⋊C4—82no—
1387C42—21no—
1388C42—21no—
1389C42—21no—
1390C42—21no—
1391C42—21no—
1392C42—21no—
1393C42—21no—
1394C42—21no—
1395C42—21no—
1396C42—21no—
1397C42—21no—
1398C42—41no—
1399C42—41no—
1400C42—41no—
1401C42—41no—
1402C42—41no—
1403C42—41no—
1404C42C22×D411yescharacteristic
1405C42C22×D411yescharacteristic
1406C42C22×D411yescharacteristic
1407C42C22×D411yescharacteristic
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—22no—
1412C23—41no—
1413C23—41no—
1414C23—41no—
1415C23—41no—
1416C23—41no—
1417C23—41no—
1418C23—41no—
1419C23—41no—
1420C23—82no—
1421C23—82no—
1422C23—81no—
1423C23—81no—
1424C23—81no—
1425C23—81no—
1426C23—81no—
1427C23—81no—
1428C23—161no—
1429C23—161no—
1430C23—161no—
1431C23—161no—
1432C23C2×H(5,𝔽2)11yescharacteristic
1433Q8—21no—
1434Q8—21no—
1435Q8—21no—
1436Q8—21no—
1437Q8—21no—
1438Q8—41no—
1439Q8—41no—
1440Q8—41no—
1441Q8—41no—
1442Q8—81no—
1443Q8—81no—
1444Q8—81no—
1445Q8—81no—
1446Q8—161no—
1447Q8—161no—
1448Q8—161no—
1449Q8—161no—
1450Q8#54812yes—
1451D4—22no—
1452D4—22no—
1453D4—22no—
1454D4—22no—
1455D4—21no—
1456D4—21no—
1457D4—21no—
1458D4—21no—
1459D4—21no—
1460D4—42no—
1461D4—41no—
1462D4—41no—
1463D4—41no—
1464D4—41no—
1465D4—41no—
1466D4—41no—
1467D4—41no—
1468D4—41no—
1469D4—41no—
1470D4—41no—
1471D4—41no—
1472D4—41no—
1473D4—41no—
1474D4—41no—
1475D4—81no—
1476D4—82no—
1477D4—82no—
1478D4—82no—
1479D4—82no—
1480D4—82no—
1481D4—82no—
1482D4—161no—
1483D4—161no—
1484D4—161no—
1485D4—161no—
1486D4—161no—
1487D4—161no—
1488D4—164no—
1489D4—164no—
1490D4#54812yes—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
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—41no—
1519C2×C4—41no—
1520C2×C4—41no—
1521C2×C4—41no—
1522C2×C4—41no—
1523C2×C4—41no—
1524C2×C4—41no—
1525C2×C4—81no—
1526C2×C4—81no—
1527C2×C4—82no—
1528C2×C4—82no—
1529C2×C4—82no—
1530C2×C4—81no—
1531C2×C4—81no—
1532C2×C4—81no—
1533C2×C4—81no—
1534C2×C4—161no—
1535C2×C4—161no—
1536C2×C4—161no—
1537C2×C4—161no—
1538C2×C4—161no—
1539C2×C4—161no—
1540C2×C4—161no—
1541C2×C4—161no—
1542C2×C4—161no—
1543C2×C4D4211yescharacteristic
1544C2×C4D4211yescharacteristic
1545C2×C4D4211yescharacteristic
1546C2×C4D4211yescharacteristic
1547C2×C4C23×D411yescharacteristic
1548C2×C4C23×D411yescharacteristic
1549C2×C4C22×#4111yescharacteristic
1550C2×C4C2×2−1+411yescharacteristic
1551C2×C4#58511yescharacteristic
1552C2×C4#58511yescharacteristic
1553C8—22no—
1554C8—21no—
1555C8—21no—
1556C8—21no—
1557C8—21no—
1558C8—21no—
1559C8—21no—
1560C8—21no—
1561C8—21no—
1562C8—41no—
1563C8—41no—
1564C8—41no—
1565C8—41no—
1566C8—41no—
1567C8—41no—
1568C8—41no—
1569C22—21no—
1570C22—21no—
1571C22—22no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—42no—
1581C22—82no—
1582C22—81no—
1583C22—81no—
1584C22—81no—
1585C22—81no—
1586C22—81no—
1587C22—81no—
1588C22—81no—
1589C22—81no—
1590C22—161no—
1591C22—161no—
1592C22—161no—
1593C22—161no—
1594C22—161no—
1595C22—322no—
1596C22—322no—
1597C22C2×D4211yescharacteristic
1598C22#351411yescharacteristic
1599C22#356111yescharacteristic
1600C4—21no—
1601C4—21no—
1602C4—21no—
1603C4—21no—
1604C4—22no—
1605C4—42no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C4—41no—
1615C4—41no—
1616C4—41no—
1617C4—41no—
1618C4—81no—
1619C4—81no—
1620C4—81no—
1621C4—81no—
1622C4—81no—
1623C4—81no—
1624C4C2×#54811yescharacteristic
1625C4D4×#4111yescharacteristic
1626C4#348911yescharacteristic
1627C4#350011yescharacteristic
1628C2—21no—
1629C2—21no—
1630C2—42no—
1631C2—81no—
1632C2—81no—
1633C2—82no—
1634C2—161no—
1635C2—161no—
1636C2#5913011yescharacteristic
1637C2#6110711yescharacteristic
1638C2#6111011yescharacteristic
subgroupG/H
center, socleC22C2×D42
commutator, Frattini, cosocleC22×C4C25
prime radical#24230C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ C2×C42 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #61385C2semidirect
2. #61333C2semidirect
3. #61206C2semidirect
4. #60626C2semidirect
5. #30939C2semidirect
6. #30939C2semidirect
7. #30839C2semidirect
8. #30837C2semidirect
9. #28674C2semidirect
10. #28435C2semidirect
11. #27812C2semidirect
12. #27807C2semidirect
13. #27290C2semidirect
14. #27288C2semidirect
15. #26855C2semidirect
16. #26850C2semidirect
17. #25984C2semidirect
18. #25982C2semidirect
19. #25918C2semidirect
20. #25698C2semidirect
21. #25362C2semidirect
22. #25315C2semidirect
23. #25187C2semidirect
24. #25187C2semidirect
25. #24325C2semidirect
27. #23236C2semidirect
28. #22897C2semidirect
29. #22891C2semidirect
30. #21629C2semidirect
31. #21557C2semidirect
34. #3501C22semidirect
60. #3166C22semidirect
61. #3164C22semidirect
62. #3163C22semidirect
68. #3137C22semidirect
69. #3137C22semidirect
86. #3083C22semidirect
87. #3083C22semidirect
88. #3081C22semidirect
89. #3081C22semidirect
90. #3078C22semidirect
92. C2×#478C22semidirect
96. #3042C22semidirect
97. #3042C22semidirect
104. #2962C22semidirect
105. #2961C22semidirect
108. #2946C22semidirect
109. #2946C22semidirect
112. C2×#440C22semidirect
121. #2565C22semidirect
123. #2093C22semidirect
124. #2092C22semidirect
125. #2079C22semidirect
126. #2078C22semidirect
127. #2063C22semidirect
128. #2063C22semidirect
129. #2063C22semidirect
130. #2063C22semidirect
131. #2063C22semidirect
132. #2063C22semidirect
133. #2061C22semidirect
134. #2060C22semidirect
135. #2051C22semidirect
136. #2051C22semidirect
137. #2046C22semidirect
138. #2046C22semidirect
139. #2038C22semidirect
140. #2038C22semidirect
141. #2038C22semidirect
142. #2038C22semidirect
145. #2028C22semidirect
146. #2028C22semidirect
147. #2027C22semidirect
148. #2027C22semidirect
149. #2027C22semidirect
150. #2027C22semidirect
151. #2014C22semidirect
152. #2014C22semidirect
155. #1998C22semidirect
156. #1986C22semidirect
157. #1986C22semidirect
159. #1977C22semidirect
160. #1977C22semidirect
161. #1977C22semidirect
162. #1973C22semidirect
163. #1968C22semidirect
165. #1961C22semidirect
166. #1957C22semidirect
167. #1952C22semidirect
168. #1950C22semidirect
169. #1938C22semidirect
170. #1937C22semidirect
171. #1931C22semidirect
172. #1931C22semidirect
173. #1931C22semidirect
174. #1931C22semidirect
175. #1931C22semidirect
176. #1931C22semidirect
177. #1931C22semidirect
178. #1930C22semidirect
179. #1929C22semidirect
180. #1929C22semidirect
181. #1922C22semidirect
182. #1922C22semidirect
185. #1907C22semidirect
186. #1907C22semidirect
187. #1887C22semidirect
188. #1887C22semidirect
189. #1887C22semidirect
190. #1887C22semidirect
195. #1866C22semidirect
196. #1866C22semidirect
198. #1860C22semidirect
199. #1860C22semidirect
201. #1859C22semidirect
202. #1859C22semidirect
204. #1816C22semidirect
205. #1815C22semidirect
209. #1778C22semidirect
210. #1773C22semidirect
211. #1772C22semidirect
212. #1771C22semidirect
214. #1765C22semidirect
216. #1764C22semidirect
217. C4×#101C22semidirect
218. C4×#100C22semidirect
312. #491D4semidirect
313. #491D4semidirect
327. #490D4semidirect
328. #490D4semidirect
335. #489D4semidirect
336. #489D4semidirect
337. #489D4semidirect
338. #489D4semidirect
371. #479D4semidirect
372. #479D4semidirect
385. #478D4semidirect
386. #478D4semidirect
391. #477D4semidirect
395. #476D4semidirect
398. #475D4semidirect
404. #474D4semidirect

Maximal subgroups

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

subgroupindex
#613852
#613332
#612062
#606262
#309392
#308392
#308372
#286742
#284352
#278122
#278072
#272902
#272882
#268552
#268502
#259842
#259822
#259182
#256982
#253622
#253152
#251872
#243252
#242302
#232362
#228972
#228912
#216292
#215572