Finite Group Databasebeta

← #7520246

Subgroups — #7520246

Order 512.

1818 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#61201C211yesmaximal, characteristic, complemented
2#61199C211yesmaximal, characteristic, complemented
3#60601C211yesmaximal, characteristic, complemented
4#60597C211yesmaximal, characteristic, complemented
5#31074C211yesmaximal, characteristic, complemented
6#31070C211yesmaximal, characteristic, complemented
7#30431C211yesmaximal, characteristic, complemented
8#30428C211yesmaximal, characteristic, complemented
9#28525C211yesmaximal, characteristic, complemented
10#26580C211yesmaximal, characteristic, complemented
11#26578C211yesmaximal, characteristic, complemented
12#25670C211yesmaximal, characteristic, complemented
13#25669C211yesmaximal, characteristic, complemented
14#25362C211yesmaximal, characteristic, complemented
15#25359C211yesmaximal, characteristic, complemented
16#25054C211yesmaximal, characteristic, complemented
17#25054C211yesmaximal, characteristic, complemented
18#25052C211yesmaximal, characteristic, complemented
19#25050C211yesmaximal, characteristic, complemented
20#24932C211yesmaximal, characteristic, complemented
21#24932C211yesmaximal, characteristic, complemented
22#24929C211yesmaximal, characteristic, complemented
23#24928C211yesmaximal, characteristic, complemented
24#24724C211yesmaximal, characteristic, complemented
25#24720C211yesmaximal, characteristic, complemented
26#24226C211yesmaximal, characteristic, complemented
27#23115C211yesmaximal, characteristic, complemented
28#23115C211yesmaximal, characteristic, complemented
29#22897C211yesmaximal, characteristic, complemented
30#22891C211yesmaximal, characteristic, complemented
31#21473C211yesmaximal, characteristic, complemented
32#3512C2211yescharacteristic
33#3511C2211yescharacteristic
34#3496C2211yescharacteristic, complemented
35C4×H(5,𝔽2)C2211yescharacteristic, complemented
36#3330—21no—
37#3324—21no—
38#3323—21no—
39#3322—21no—
40#3319—21no—
41#3319—21no—
42#3318—21no—
43#3315—21no—
44#3314—21no—
45#3314—21no—
46#3310—21no—
47#3307—21no—
48#3302—21no—
49#3297—21no—
50#3296—21no—
51#3294—21no—
52#3142C2211yescharacteristic, complemented
53#3141C2211yescharacteristic, complemented
54#3125—21no—
55#3125—21no—
56#3123—21no—
57#3122—21no—
58#3120—21no—
59#3119—21no—
60#3118—21no—
61#3118—21no—
62#3116—21no—
63#3114—21no—
64#3111—21no—
65#3109—21no—
66#3106—21no—
67#3105—21no—
68#3102—21no—
69#3101—21no—
70#3099C2211yescharacteristic, complemented
71#3099C2211yescharacteristic, complemented
72#3099C2211yescharacteristic, complemented
73#3099C2211yescharacteristic, complemented
74#3098C2211yescharacteristic, complemented
75#3098C2211yescharacteristic, complemented
76#3098C2211yescharacteristic, complemented
77#3098C2211yescharacteristic, complemented
78#3080C2211yescharacteristic, complemented
79#3079C2211yescharacteristic, complemented
80C2×#478C2211yescharacteristic, complemented
81C2×#478C2211yescharacteristic, complemented
82C2×#476C2211yescharacteristic, complemented
83C2×#474C2211yescharacteristic, complemented
84#3061C2211yescharacteristic
85#3061C2211yescharacteristic
86#3061C2211yescharacteristic
87#3060C2211yescharacteristic
88#3036C2211yescharacteristic
89#3036C2211yescharacteristic
90#3035C2211yescharacteristic
91#3035C2211yescharacteristic
92C2×#453C2211yescharacteristic
93C2×#453C2211yescharacteristic
94C2×#453C2211yescharacteristic
95#3012C2211yescharacteristic
96#3012C2211yescharacteristic
97#3012C2211yescharacteristic
98#3012C2211yescharacteristic
99#3012C2211yescharacteristic, complemented
100#3012C2211yescharacteristic, complemented
101#3012C2211yescharacteristic, complemented
102#3012C2211yescharacteristic, complemented
103#2952C2211yescharacteristic, complemented
104#2952C2211yescharacteristic, complemented
105#2952C2211yescharacteristic, complemented
106#2951C2211yescharacteristic, complemented
107#2946C2211yescharacteristic, complemented
108#2946C2211yescharacteristic, complemented
109#2946C2211yescharacteristic, complemented
110#2946C2211yescharacteristic, complemented
111C4×AGL(1,ℤ/8)C2211yescharacteristic
112C4×AGL(1,ℤ/8)C2211yescharacteristic
113#2935C2211yescharacteristic, complemented
114#2935C2211yescharacteristic, complemented
115#2925C2211yescharacteristic, complemented
116#2925C2211yescharacteristic, complemented
117#2897C2211yescharacteristic, complemented
118#2897C2211yescharacteristic, complemented
119#2897C2211yescharacteristic, complemented
120#2897C2211yescharacteristic, complemented
121#2660C2211yescharacteristic, complemented
122#2328C2211yescharacteristic
123#2094C2211yescharacteristic, complemented
124#2093C2211yescharacteristic, complemented
125#2092C2211yescharacteristic, complemented
126#2092C2211yescharacteristic, complemented
127#2079C2211yescharacteristic, complemented
128#2079C2211yescharacteristic, complemented
129#2079C2211yescharacteristic, complemented
130#2079C2211yescharacteristic, complemented
131#2078C2211yescharacteristic, complemented
132#2078C2211yescharacteristic, complemented
133#2078C2211yescharacteristic, complemented
134#2078C2211yescharacteristic, complemented
135#2051C2211yescharacteristic
136#2051C2211yescharacteristic
137#2051C2211yescharacteristic
138#2051C2211yescharacteristic
139#2051C2211yescharacteristic, complemented
140#2051C2211yescharacteristic, complemented
141#2051C2211yescharacteristic, complemented
142#2051C2211yescharacteristic, complemented
143#2040C2211yescharacteristic, complemented
144#2040C2211yescharacteristic, complemented
145#2040C2211yescharacteristic, complemented
146#2040C2211yescharacteristic, complemented
147#2040C2211yescharacteristic, complemented
148#2040C2211yescharacteristic, complemented
149#2039C2211yescharacteristic, complemented
150#2039C2211yescharacteristic, complemented
151#2039C2211yescharacteristic, complemented
152#2039C2211yescharacteristic, complemented
153#2006C2211yescharacteristic
154#2006C2211yescharacteristic
155#1998C2211yescharacteristic, complemented
156#1997C2211yescharacteristic, complemented
157#1975C2211yescharacteristic, complemented
158#1975C2211yescharacteristic, complemented
159#1974C2211yescharacteristic, complemented
160#1974C2211yescharacteristic, complemented
161#1963C2211yescharacteristic, complemented
162#1963C2211yescharacteristic, complemented
163#1961C2211yescharacteristic
164#1957C2211yescharacteristic
165#1952C2211yescharacteristic, complemented
166#1952C2211yescharacteristic, complemented
167#1952C2211yescharacteristic, complemented
168#1951C2211yescharacteristic, complemented
169#1950C2211yescharacteristic, complemented
170#1950C2211yescharacteristic, complemented
171#1931C2211yescharacteristic, complemented
172#1931C2211yescharacteristic, complemented
173#1931C2211yescharacteristic, complemented
174#1931C2211yescharacteristic, complemented
175#1929C2211yescharacteristic, complemented
176#1929C2211yescharacteristic, complemented
177#1929C2211yescharacteristic, complemented
178#1929C2211yescharacteristic, complemented
179#1907C2211yescharacteristic, complemented
180#1907C2211yescharacteristic, complemented
181#1907C2211yescharacteristic, complemented
182#1907C2211yescharacteristic, complemented
183#1887C2211yescharacteristic
184#1883C2211yescharacteristic
185#1883C2211yescharacteristic
186#1876C2211yescharacteristic, complemented
187#1876C2211yescharacteristic, complemented
188#1876C2211yescharacteristic, complemented
189#1876C2211yescharacteristic, complemented
190#1860C2211yescharacteristic, complemented
191#1860C2211yescharacteristic, complemented
192#1860C2211yescharacteristic, complemented
193#1860C2211yescharacteristic, complemented
194#1860C2211yescharacteristic, complemented
195#1860C2211yescharacteristic, complemented
196#1859C2211yescharacteristic, complemented
197#1859C2211yescharacteristic, complemented
198#1859C2211yescharacteristic, complemented
199#1859C2211yescharacteristic, complemented
200#1856C2211yescharacteristic, complemented
201#1847C2211yescharacteristic, complemented
202#1846C2211yescharacteristic, complemented
203#1816C2211yescharacteristic, complemented
204#1815C2211yescharacteristic, complemented
205#1815C2211yescharacteristic, complemented
206#1815C2211yescharacteristic, complemented
207#1800C2211yescharacteristic, complemented
208#1792C2211yescharacteristic, complemented
209#1792C2211yescharacteristic, complemented
210#1792C2211yescharacteristic, complemented
211#1768C2211yescharacteristic, complemented
212#1765C2211yescharacteristic, complemented
213#1765C2211yescharacteristic, complemented
214#1764C2211yescharacteristic, complemented
215#1764C2211yescharacteristic, complemented
216#1759C2211yescharacteristic, complemented
217#1759C2211yescharacteristic, complemented
218C4×#100C2211yescharacteristic, complemented
219C2×H(5,𝔽2)C2311yescharacteristic
220C2×H(5,𝔽2)C2311yescharacteristic
221C2×H(5,𝔽2)C2311yescharacteristic
222C2×AGL(1,ℤ/8)C2311yescharacteristic
223C2×AGL(1,ℤ/8)C2311yescharacteristic
224C2×AGL(1,ℤ/8)C2311yescharacteristic
225C2×AGL(1,ℤ/8)C2311yescharacteristic
226C2×AGL(1,ℤ/8)C2311yescharacteristic
227C2×AGL(1,ℤ/8)C2311yescharacteristic
228C2×#135C2311yescharacteristic
229C2×#135C2311yescharacteristic
230C2×#135C2311yescharacteristic
231C2×#135C2311yescharacteristic
232C2×#131C2311yescharacteristic
233C2×#131C2311yescharacteristic
234C2×#131C2311yescharacteristic
235C2×#131C2311yescharacteristic
236#556—21no—
237#555—21no—
238#554—21no—
239#553—21no—
240#553—21no—
241#553—41no—
242#553—41no—
243#553—41no—
244#552—21no—
245#552—21no—
246#548—41no—
247#547—21no—
248#547—21no—
249#547—21no—
250#546—21no—
251#546—21no—
252#546—21no—
253#546—21no—
254D42—21no—
255D42—21no—
256#542—21no—
257#542—21no—
258#541—21no—
259#540—21no—
260#537C2311yescharacteristic
261#537C2311yescharacteristic
262#537C2311yescharacteristic
263#537C2311yescharacteristic
264#537C2311yescharacteristic
265#537C2311yescharacteristic
266#534—41no—
267#533—21no—
268#532—21no—
269#532C2311yescharacteristic
270#532C2311yescharacteristic
271C2×C4⋊Q8C2311yescharacteristic
272C2×#127C2311yescharacteristic
273#529—21no—
274#529—21no—
275C2×#125C2311yescharacteristic
276C2×#121—41no—
277#520—21no—
278#520—21no—
279#520C2311yescharacteristic
280#520C2311yescharacteristic
281#520C2311yescharacteristic
282#520C2311yescharacteristic
283#520C2311yescharacteristic
284#520C2311yescharacteristic
285#518—21no—
286#518—21no—
287#518—41no—
288#518C2311yescharacteristic
289C4×#41—21no—
290C4×#41—21no—
291C4×#41C2311yescharacteristic
292C4×#41C2311yescharacteristic
293C2×C4×D4—21no—
294C2×C4×D4—21no—
295C2×C4×D4—41no—
296C2×C4×D4C2311yescharacteristic
297C2×C4×D4C2311yescharacteristic
298#491—21no—
299#490—21no—
300#489—21no—
301#489—21no—
302#488—21no—
303#488—21no—
304#487—21no—
305#486—21no—
306#485—21no—
307#485—21no—
308#485—21no—
309#485—21no—
310#485—21no—
311#485—21no—
312#485—21no—
313#485—21no—
314#484—21no—
315#484—21no—
316#484—21no—
317#484—21no—
318#483—21no—
319#483—21no—
320#483—21no—
321#483—21no—
322#482—21no—
323#482—21no—
324#482—21no—
325#482—21no—
326#482—21no—
327#482—21no—
328#482—21no—
329#482—21no—
330#481—21no—
331#481—21no—
332#481—21no—
333#481—21no—
334#480—21no—
335#480—21no—
336#480—21no—
337#480—21no—
338#479—21no—
339#479—21no—
340#478—21no—
341#478—21no—
342#478—21no—
343#478—21no—
344#478—21no—
345#478—21no—
346#478—21no—
347#478—21no—
348#478—21no—
349#478—21no—
350#477—21no—
351#476—21no—
352#476—21no—
353#476—21no—
354#476—21no—
355#476—21no—
356#475—21no—
357#474—21no—
358#474—21no—
359#474—21no—
360#474—21no—
361#474—21no—
362#470—21no—
363#469—21no—
364#468—21no—
365#468—21no—
366#468—21no—
367#468—21no—
368#468—21no—
369#468—21no—
370#467—21no—
371#467—21no—
372#467—21no—
373#466—21no—
374#466—21no—
375#466—21no—
376#465—21no—
377#465—21no—
378#464D411yescharacteristic, complemented
379#464D411yescharacteristic, complemented
380#464D411yescharacteristic, complemented
381#464D411yescharacteristic, complemented
382#463—21no—
383#463—21no—
384#463—21no—
385#463—21no—
386#463D411yescharacteristic, complemented
387#463D411yescharacteristic, complemented
388#463D411yescharacteristic, complemented
389#463D411yescharacteristic, complemented
390#462D411yescharacteristic, complemented
391#462D411yescharacteristic, complemented
392#461—21no—
393#461—21no—
394#461D411yescharacteristic, complemented
395#461D411yescharacteristic, complemented
396#460D411yescharacteristic, complemented
397#460D411yescharacteristic, complemented
398#459—21no—
399#459—21no—
400#459D411yescharacteristic, complemented
401#459D411yescharacteristic, complemented
402#453—24no—
403#453—24no—
404#453—24no—
405#452—21no—
406#452—21no—
407#452—21no—
408#452—21no—
409#452—21no—
410#452—21no—
411#452—21no—
412#452—21no—
413#450—21no—
414#450—21no—
415#450—21no—
416#450—21no—
417#450—21no—
418#450—21no—
419#450—21no—
420#450—21no—
421#449—21no—
422#449—21no—
423#449—21no—
424#449—21no—
425#449—21no—
426#449—21no—
427#449—21no—
428#449—21no—
429#447—21no—
430#447—21no—
431#447—21no—
432#447—21no—
433#447—21no—
434#447—21no—
435#447—21no—
436#447—21no—
437#442—21no—
438#442—21no—
439#442—21no—
440#442—21no—
441#442—21no—
442#442—21no—
443#442—21no—
444#442—21no—
445#442—21no—
446#441—21no—
447#441—21no—
448#441—21no—
449#440—21no—
450#440—21no—
451#440—21no—
452#440—21no—
453#440—21no—
454#440—21no—
455#440—21no—
456#440—21no—
457C4×Q16—21no—
458C4×SD16—21no—
459C4×SD16—21no—
460C4×SD16—21no—
461C4×SD16—21no—
462C4×SD16—21no—
463C4×SD16—21no—
464C4×SD16—21no—
465C4×SD16—21no—
466C4×SD16—21no—
467C4×SD16—21no—
468C4×SD16—21no—
469C4×SD16—21no—
470C4×D8—21no—
471C4×D8—21no—
472C4×D8—21no—
473C4×D8—21no—
474C4×D8—21no—
475C4×D8—21no—
476C4×D8—21no—
477#436—21no—
478#436—21no—
479#435—21no—
480#435—21no—
481#435—21no—
482#435—21no—
483C8×D4—21no—
484C8×D4—21no—
485#433—21no—
486#433—21no—
487#433—21no—
488#433—21no—
489#432—21no—
490#432—21no—
491#431—21no—
492#431—21no—
493C2×#108C2311yescharacteristic
494C2×#108C2311yescharacteristic
495C2×#108C2311yescharacteristic
496C2×#108C2311yescharacteristic
497#428C2311yescharacteristic
498#428C2311yescharacteristic
499#428C2311yescharacteristic
500#428C2311yescharacteristic
501#428C2311yescharacteristic
502#428C2311yescharacteristic
503C2×#107C2311yescharacteristic
504C2×#107C2311yescharacteristic
505C2×#107C2311yescharacteristic
506C2×#107C2311yescharacteristic
507C2×#106C2311yescharacteristic
508C2×#106C2311yescharacteristic
509C2×#106C2311yescharacteristic
510C2×#106C2311yescharacteristic
511#423C2311yescharacteristic
512#423C2311yescharacteristic
513C2×C4⋊C8C2311yescharacteristic
514C2×C4⋊C8C2311yescharacteristic
515C2×#104C2311yescharacteristic
516C2×#104C2311yescharacteristic
517C2×#104C2311yescharacteristic
518C2×#104C2311yescharacteristic
519C2×#104C2311yescharacteristic
520C2×#104C2311yescharacteristic
521C2×#104C2311yescharacteristic
522C2×#104C2311yescharacteristic
523C2×#104C2311yescharacteristic
524C2×#104C2311yescharacteristic
525C2×#104C2311yescharacteristic
526C2×#104C2311yescharacteristic
527#418—21no—
528#418—21no—
529#418—21no—
530#418—21no—
531#418C2311yescharacteristic
532#418C2311yescharacteristic
533#417—21no—
534#417—21no—
535#417—21no—
536#417—21no—
537#417C2311yescharacteristic
538#417C2311yescharacteristic
539#417C2311yescharacteristic
540#417C2311yescharacteristic
541#417C2311yescharacteristic
542#417C2311yescharacteristic
543#417C2311yescharacteristic
544#417C2311yescharacteristic
545#417C2311yescharacteristic
546#417C2311yescharacteristic
547#417C2311yescharacteristic
548#417C2311yescharacteristic
549#417C2311yescharacteristic
550#417C2311yescharacteristic
551#417C2311yescharacteristic
552#417C2311yescharacteristic
553#417C2311yescharacteristic
554#417C2311yescharacteristic
555#416—21no—
556#416—21no—
557#416—21no—
558#416—21no—
559#416C2311yescharacteristic
560#416C2311yescharacteristic
561#416C2311yescharacteristic
562#416C2311yescharacteristic
563C2×#102—21no—
564C2×#102—21no—
565C2×#102—21no—
566C2×#102—21no—
567C2×#102C2311yescharacteristic
568C2×#102C2311yescharacteristic
569C2×#102C2311yescharacteristic
570C2×#102C2311yescharacteristic
571C2×#102C2311yescharacteristic
572C2×#102C2311yescharacteristic
573C2×#102C2311yescharacteristic
574C2×#102C2311yescharacteristic
575C2×#100C2311yescharacteristic
576C2×#100C2311yescharacteristic
577C2×#100C2311yescharacteristic
578C2×#100C2311yescharacteristic
579#408C2311yescharacteristic
580#408C2311yescharacteristic
581#408C2311yescharacteristic
582#408C2311yescharacteristic
583#408C2311yescharacteristic
584#408C2311yescharacteristic
585#408C2311yescharacteristic
586#408C2311yescharacteristic
587#405C2311yescharacteristic
588#405C2311yescharacteristic
589#405C2311yescharacteristic
590#405C2311yescharacteristic
591C4×M16C2311yescharacteristic
592C4×M16C2311yescharacteristic
593C2×#97C2311yescharacteristic
594C2×C4×C8C2311yescharacteristic
595#398—41no—
596#395—41no—
597#390C2311yescharacteristic
598#390C2311yescharacteristic
599#386—41no—
600#386—41no—
601#384C2311yescharacteristic
602#384C2311yescharacteristic
603#382C2311yescharacteristic
604#382C2311yescharacteristic
605#382C2311yescharacteristic
606#376C2311yescharacteristic
607#343C2311yescharacteristic
608#343C2311yescharacteristic
609#343C2311yescharacteristic
610#343C2311yescharacteristic
611#343C2311yescharacteristic
612#343C2311yescharacteristic
613#343C2311yescharacteristic
614#343C2311yescharacteristic
615#343C2311yescharacteristic
616#343C2311yescharacteristic
617#343C2311yescharacteristic
618#343C2311yescharacteristic
619#341C2311yescharacteristic
620#341C2311yescharacteristic
621#341C2311yescharacteristic
622#341C2311yescharacteristic
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)—41no—
633H(5,𝔽2)—41no—
634H(5,𝔽2)—41no—
635H(5,𝔽2)—41no—
636H(5,𝔽2)—41no—
637H(5,𝔽2)—41no—
638H(5,𝔽2)—41no—
639H(5,𝔽2)—41no—
640H(5,𝔽2)—41no—
641C2×#41—21no—
642C2×#41—21no—
643C2×#41—21no—
644C2×#41—21no—
645C2×#41—21no—
646C2×#41—21no—
647C2×#41—41no—
648C2×#41C2411yescharacteristic
649C2×#41C2411yescharacteristic
650C2×#41C2411yescharacteristic
651C2×#41C2411yescharacteristic
652C2×#41C2411yescharacteristic
653C2×#41C2411yescharacteristic
654C22×Q8—21no—
655C22×D4—21no—
656C22×D4—21no—
657C22×D4—21no—
658C22×D4—21no—
659C22×D4—21no—
660C22×D4—21no—
661C22×D4—41no—
662C22×D4—41no—
663C22×D4—41no—
664C22×D4—41no—
665C22×D4—41no—
666C22×D4C2411yescharacteristic
667C22×D4C2411yescharacteristic
668C23×C4—21no—
669C23×C4—21no—
670C23×C4—41no—
671AGL(1,ℤ/8)—22no—
672AGL(1,ℤ/8)—22no—
673AGL(1,ℤ/8)—22no—
674AGL(1,ℤ/8)—22no—
675AGL(1,ℤ/8)—22no—
676AGL(1,ℤ/8)—22no—
677AGL(1,ℤ/8)—41no—
678AGL(1,ℤ/8)—41no—
679AGL(1,ℤ/8)—41no—
680AGL(1,ℤ/8)—41no—
681AGL(1,ℤ/8)—41no—
682AGL(1,ℤ/8)—41no—
683#135—41no—
684#135—41no—
685#135—41no—
686#135—41no—
687#135—41no—
688#135—41no—
689#135—41no—
690#135—41no—
691C2×Q16C2×D411yescharacteristic
692C2×Q16C2×D411yescharacteristic
693C2×Q16C2×D411yescharacteristic
694C2×Q16C2×D411yescharacteristic
695C2×SD16—21no—
696C2×SD16—21no—
697C2×SD16—21no—
698C2×SD16—21no—
699C2×SD16—21no—
700C2×SD16—21no—
701C2×SD16C2×D411yescharacteristic
702C2×SD16C2×D411yescharacteristic
703C2×SD16C2×D411yescharacteristic
704C2×SD16C2×D411yescharacteristic
705C2×SD16C2×D411yescharacteristic
706C2×SD16C2×D411yescharacteristic
707C2×SD16C2×D411yescharacteristic
708C2×SD16C2×D411yescharacteristic
709C2×D8—21no—
710C2×D8—21no—
711C2×D8—21no—
712C2×D8—21no—
713C2×D8—21no—
714C2×D8—21no—
715C2×D8C2×D411yescharacteristic
716C2×D8C2×D411yescharacteristic
717C2×D8C2×D411yescharacteristic
718C2×D8C2×D411yescharacteristic
719#131—41no—
720#131—41no—
721#131—41no—
722#131—41no—
723#131—41no—
724#131—41no—
725#131—41no—
726#131—41no—
727C2×M16—21no—
728C2×M16—21no—
729C2×M16—21no—
730C2×M16—21no—
731C2×M16C2411yescharacteristic
732C2×M16C2411yescharacteristic
733C2×M16C2411yescharacteristic
734C2×M16C2411yescharacteristic
735C2×M16C2411yescharacteristic
736C2×M16C2411yescharacteristic
737C2×M16C2411yescharacteristic
738C2×M16C2411yescharacteristic
739C22×C8—21no—
740C22×C8—21no—
741C22×C8—21no—
742C22×C8—21no—
743C22×C8C2411yescharacteristic
744C22×C8C2411yescharacteristic
745C22×C8C2411yescharacteristic
746C22×C8C2411yescharacteristic
747C4⋊Q8—21no—
748C4⋊Q8—21no—
749C4⋊Q8—21no—
750C4⋊Q8—21no—
751C4⋊Q8C2×D411yescharacteristic
752C4⋊Q8C2×D411yescharacteristic
753#127—41no—
754#127C2×D411yescharacteristic
755#127C2×D411yescharacteristic
756#127#4114yescomplemented
757#126—41no—
758#126—41no—
759#126—41no—
760#126—41no—
761#126—41no—
762#126—41no—
763#125—21no—
764#125—21no—
765#125—21no—
766#125—21no—
767#125—41no—
768#125—41no—
769#125—41no—
770#124—41no—
771#124—41no—
772#124—41no—
773#124C2×D411yescharacteristic
774#124C2×D411yescharacteristic
775#124C2×D411yescharacteristic
776#124C2×D411yescharacteristic
777#123—41no—
778#123—41no—
779#123—41no—
780#123—41no—
781#123—41no—
782#123—41no—
783#123—41no—
784#123—41no—
785#123—41no—
786#123—41no—
787C22⋊Q8—21no—
788C22⋊Q8—21no—
789C22⋊Q8—21no—
790C22⋊Q8—21no—
791C22⋊Q8—21no—
792C22⋊Q8—21no—
793C22⋊Q8—21no—
794C22⋊Q8—21no—
795C22⋊Q8—21no—
796C22⋊Q8—21no—
797C22⋊Q8—21no—
798C22⋊Q8—21no—
799C22⋊Q8—41no—
800C22⋊Q8—41no—
801C22⋊Q8—41no—
802#121—21no—
803#121—21no—
804#121—21no—
805#121—21no—
806#121—21no—
807#121—21no—
808#121—21no—
809#121—21no—
810#121—21no—
811#121—21no—
812#121—21no—
813#121—21no—
814#121—21no—
815#121—21no—
816#121—21no—
817#121—21no—
818#121—41no—
819#121—41no—
820#121—41no—
821#121—41no—
822#121—41no—
823#121—41no—
824#121—41no—
825#121—41no—
826#121—41no—
827#121—41no—
828#121—41no—
829#121—41no—
830#121—41no—
831#120—41no—
832#120—41no—
833#120—41no—
834#120—41no—
835C4×Q8—21no—
836C4×Q8—21no—
837C4×Q8—21no—
838C4×Q8—21no—
839C4×Q8—21no—
840C4×Q8—21no—
841C4×Q8—41no—
842C4×Q8C2×D411yescharacteristic
843C4×Q8C2×D411yescharacteristic
844C4×Q8C2×D411yescharacteristic
845C4×Q8C2×D411yescharacteristic
846C4×D4—21no—
847C4×D4—21no—
848C4×D4—21no—
849C4×D4—21no—
850C4×D4—21no—
851C4×D4—21no—
852C4×D4—21no—
853C4×D4—21no—
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—41no—
873C4×D4—41no—
874C4×D4—41no—
875C4×D4—41no—
876C4×D4—41no—
877C4×D4—41no—
878C4×D4—41no—
879C4×D4—41no—
880C4×D4—41no—
881C4×D4—41no—
882C4×D4—41no—
883C4×D4—41no—
884C4×D4—41no—
885C4×D4—41no—
886C4×D4—41no—
887C4×D4—41no—
888C4×D4—41no—
889C4×D4C2×D411yescharacteristic
890C4×D4C2×D411yescharacteristic
891C4×D4C2×D411yescharacteristic
892C4×D4C2×D411yescharacteristic
893#117—21no—
894#117—21no—
895#117—21no—
896#117—21no—
897#117—21no—
898#117—21no—
899#117—21no—
900#117—21no—
901#117—41no—
902#117—41no—
903#117—41no—
904#117—41no—
905#117—41no—
906#117C2411yescharacteristic
907#117C2411yescharacteristic
908C2×C4⋊C4—21no—
909C2×C4⋊C4—21no—
910C2×C4⋊C4—21no—
911C2×C4⋊C4—21no—
912C2×C4⋊C4—21no—
913C2×C4⋊C4—21no—
914C2×C4⋊C4—21no—
915C2×C4⋊C4—21no—
916C2×C4⋊C4—21no—
917C2×C4⋊C4—41no—
918C2×C4⋊C4—41no—
919C2×C4⋊C4—41no—
920C2×C4⋊C4—41no—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C22⋊C4—21no—
928C2×C22⋊C4—21no—
929C2×C22⋊C4—41no—
930C2×C22⋊C4—41no—
931C2×C22⋊C4—41no—
932C2×C22⋊C4—41no—
933C2×C22⋊C4—41no—
934C2×C22⋊C4—41no—
935C2×C22⋊C4—41no—
936C2×C22⋊C4—41no—
937C2×C42—21no—
938C2×C42—21no—
939C2×C42—41no—
940C2×C42C2411yescharacteristic
941C2×C42C2411yescharacteristic
942C2×C42C2411yescharacteristic
943#108—41no—
944#108—41no—
945#108—41no—
946#108—41no—
947#107—21no—
948#107—21no—
949#107—21no—
950#107—21no—
951#107—21no—
952#107—21no—
953#107—21no—
954#107—21no—
955#107—21no—
956#107—21no—
957#107—21no—
958#107—21no—
959#107—21no—
960#107—21no—
961#106—21no—
962#106—21no—
963#106—21no—
964#106—21no—
965#106—21no—
966#106—21no—
967#106—21no—
968#106—21no—
969#106—21no—
970#106—21no—
971#106—21no—
972#106—21no—
973#106—21no—
974#106—21no—
975C4⋊C8—21no—
976C4⋊C8—21no—
977C4⋊C8—21no—
978C4⋊C8—21no—
979C4⋊C8C2×D411yescharacteristic
980C4⋊C8C2×D411yescharacteristic
981C4⋊C8C2×D411yescharacteristic
982C4⋊C8C2×D411yescharacteristic
983C4⋊C8C2×D411yescharacteristic
984C4⋊C8C2×D411yescharacteristic
985C4⋊C8C2×D411yescharacteristic
986C4⋊C8C2×D411yescharacteristic
987#104—22no—
988#104—22no—
989#104—22no—
990#104—22no—
991#104—22no—
992#104—22no—
993#104—41no—
994#104—41no—
995#104—41no—
996#104—41no—
997#104—41no—
998#104—41no—
999#103—21no—
1000#103—21no—
1001#103—21no—
1002#103—21no—
1003#103—21no—
1004#103—21no—
1005#103—21no—
1006#103—21no—
1007#103—21no—
1008#103—21no—
1009#103—21no—
1010#103—21no—
1011#103—21no—
1012#103—21no—
1013#103—21no—
1014#103—21no—
1015#103—21no—
1016#103—21no—
1017#103C2×D411yescharacteristic
1018#103C2×D411yescharacteristic
1019#103C2×D411yescharacteristic
1020#103C2×D411yescharacteristic
1021#103C2×D411yescharacteristic
1022#103C2×D411yescharacteristic
1023#103C2×D411yescharacteristic
1024#103C2×D411yescharacteristic
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#102—21no—
1050#102—21no—
1051#102—21no—
1052#102—21no—
1053#102—21no—
1054#102—21no—
1055#102—21no—
1056#102—21no—
1057#102—21no—
1058#102—21no—
1059#102—21no—
1060#102—21no—
1061#102—21no—
1062#102—21no—
1063#102C2×D411yescharacteristic
1064#102C2×D411yescharacteristic
1065#102C2×D411yescharacteristic
1066#102C2×D411yescharacteristic
1067#102C2×D411yescharacteristic
1068#102C2×D411yescharacteristic
1069#102C2×D411yescharacteristic
1070#102C2×D411yescharacteristic
1071#100—22no—
1072#100—22no—
1073#100—22no—
1074#100—41no—
1075C22⋊C8—21no—
1076C22⋊C8—21no—
1077C22⋊C8—21no—
1078C22⋊C8—21no—
1079C22⋊C8—21no—
1080C22⋊C8—21no—
1081C22⋊C8—21no—
1082C22⋊C8—21no—
1083C22⋊C8—21no—
1084C22⋊C8—21no—
1085C22⋊C8—21no—
1086C22⋊C8—21no—
1087C22⋊C8—21no—
1088C22⋊C8—21no—
1089C22⋊C8—21no—
1090C22⋊C8—21no—
1091#97—21no—
1092#97—21no—
1093#97—21no—
1094#97—21no—
1095#97—21no—
1096#97—21no—
1097#97—41no—
1098C4×C8—21no—
1099C4×C8—21no—
1100C4×C8—21no—
1101C4×C8—21no—
1102C4×C8—21no—
1103C4×C8—21no—
1104C4×C8—41no—
1105#95—21no—
1106#95—21no—
1107#95—41no—
1108#95—41no—
1109#95—41no—
1110C24—21no—
1111C24—21no—
1112C24—41no—
1113C24—41no—
1114C24—41no—
1115#41—21no—
1116#41—21no—
1117#41—21no—
1118#41—21no—
1119#41—21no—
1120#41—21no—
1121#41—21no—
1122#41—21no—
1123#41—21no—
1124#41—21no—
1125#41—21no—
1126#41—21no—
1127#41—21no—
1128#41—21no—
1129#41—21no—
1130#41—21no—
1131#41—21no—
1132#41—21no—
1133#41—21no—
1134#41—21no—
1135#41—21no—
1136#41—21no—
1137#41—21no—
1138#41—21no—
1139#41—42no—
1140#41—42no—
1141#41—42no—
1142#41—42no—
1143#41—42no—
1144#41—42no—
1145#41—42no—
1146#41—42no—
1147#41—81no—
1148#41—81no—
1149#41—81no—
1150#41—81no—
1151#41—162no—
1152C2×Q8—41no—
1153C2×Q8—41no—
1154C2×Q8—161no—
1155C2×Q8C22×D411yescharacteristic
1156C2×Q8C22×D411yescharacteristic
1157C2×Q8C22×D411yescharacteristic
1158C2×Q8C22×D411yescharacteristic
1159C2×Q8C22×D411yescharacteristic
1160C2×Q8C22×D411yescharacteristic
1161C2×D4—21no—
1162C2×D4—21no—
1163C2×D4—21no—
1164C2×D4—21no—
1165C2×D4—21no—
1166C2×D4—21no—
1167C2×D4—21no—
1168C2×D4—21no—
1169C2×D4—21no—
1170C2×D4—21no—
1171C2×D4—21no—
1172C2×D4—21no—
1173C2×D4—21no—
1174C2×D4—21no—
1175C2×D4—21no—
1176C2×D4—21no—
1177C2×D4—21no—
1178C2×D4—21no—
1179C2×D4—21no—
1180C2×D4—21no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—44no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—81no—
1205C2×D4—81no—
1206C2×D4—81no—
1207C2×D4—81no—
1208C2×D4—82no—
1209C2×D4—82no—
1210C2×D4—82no—
1211C2×D4—82no—
1212C2×D4—161no—
1213C2×D4—161no—
1214C2×D4—162no—
1215C2×D4C22×D411yescharacteristic
1216C2×D4C22×D411yescharacteristic
1217C2×D4C22×D411yescharacteristic
1218C2×D4C22×D411yescharacteristic
1219C2×D4C22×D411yescharacteristic
1220C2×D4C22×D411yescharacteristic
1221C2×D4C2×#4112yes—
1222C2×D4C2×#4112yes—
1223C22×C4—21no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—21no—
1230C22×C4—21no—
1231C22×C4—21no—
1232C22×C4—21no—
1233C22×C4—21no—
1234C22×C4—21no—
1235C22×C4—21no—
1236C22×C4—21no—
1237C22×C4—21no—
1238C22×C4—21no—
1239C22×C4—21no—
1240C22×C4—21no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—161no—
1257C22×C4—161no—
1258C22×C4—162no—
1259C22×C4H(5,𝔽2)11yescharacteristic
1260C22×C4H(5,𝔽2)11yescharacteristic
1261C22×C4C2511yescharacteristic
1262Q16—41no—
1263Q16—41no—
1264Q16—41no—
1265Q16—41no—
1266SD16—41no—
1267SD16—41no—
1268SD16—41no—
1269SD16—41no—
1270SD16—41no—
1271SD16—41no—
1272SD16—41no—
1273SD16—41no—
1274SD16—42no—
1275SD16—42no—
1276SD16—42no—
1277SD16—42no—
1278SD16—42no—
1279SD16—42no—
1280D8—41no—
1281D8—41no—
1282D8—41no—
1283D8—41no—
1284D8—42no—
1285D8—42no—
1286D8—42no—
1287D8—42no—
1288D8—42no—
1289D8—42no—
1290M16—21no—
1291M16—21no—
1292M16—21no—
1293M16—21no—
1294M16—21no—
1295M16—21no—
1296M16—21no—
1297M16—21no—
1298M16—21no—
1299M16—21no—
1300M16—21no—
1301M16—21no—
1302M16—21no—
1303M16—21no—
1304M16—21no—
1305M16—21no—
1306M16—81no—
1307M16—81no—
1308M16—81no—
1309M16—81no—
1310C2×C8—21no—
1311C2×C8—21no—
1312C2×C8—21no—
1313C2×C8—21no—
1314C2×C8—21no—
1315C2×C8—21no—
1316C2×C8—21no—
1317C2×C8—21no—
1318C2×C8—21no—
1319C2×C8—21no—
1320C2×C8—21no—
1321C2×C8—21no—
1322C2×C8—21no—
1323C2×C8—21no—
1324C2×C8—21no—
1325C2×C8—21no—
1326C2×C8—81no—
1327C2×C8—81no—
1328C2×C8—81no—
1329C2×C8—81no—
1330C2×C8C22×D411yescharacteristic
1331C2×C8C22×D411yescharacteristic
1332C2×C8C22×D411yescharacteristic
1333C2×C8C22×D411yescharacteristic
1334C2×C8C22×D411yescharacteristic
1335C2×C8C22×D411yescharacteristic
1336C2×C8C22×D411yescharacteristic
1337C2×C8C22×D411yescharacteristic
1338C4⋊C4—21no—
1339C4⋊C4—21no—
1340C4⋊C4—21no—
1341C4⋊C4—21no—
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—21no—
1349C4⋊C4—21no—
1350C4⋊C4—21no—
1351C4⋊C4—21no—
1352C4⋊C4—21no—
1353C4⋊C4—21no—
1354C4⋊C4—21no—
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—41no—
1359C4⋊C4—41no—
1360C4⋊C4—41no—
1361C4⋊C4—41no—
1362C4⋊C4—41no—
1363C4⋊C4—41no—
1364C4⋊C4—41no—
1365C4⋊C4—41no—
1366C4⋊C4—41no—
1367C4⋊C4—41no—
1368C4⋊C4—41no—
1369C4⋊C4—41no—
1370C4⋊C4—41no—
1371C4⋊C4—41no—
1372C4⋊C4—41no—
1373C4⋊C4—41no—
1374C4⋊C4—41no—
1375C4⋊C4—41no—
1376C4⋊C4—161no—
1377C4⋊C4—161no—
1378C4⋊C4C22×D411yescharacteristic
1379C4⋊C4C22×D411yescharacteristic
1380C4⋊C4C22×D411yescharacteristic
1381C4⋊C4C22×D411yescharacteristic
1382C22⋊C4—21no—
1383C22⋊C4—21no—
1384C22⋊C4—21no—
1385C22⋊C4—21no—
1386C22⋊C4—21no—
1387C22⋊C4—21no—
1388C22⋊C4—21no—
1389C22⋊C4—21no—
1390C22⋊C4—21no—
1391C22⋊C4—21no—
1392C22⋊C4—21no—
1393C22⋊C4—21no—
1394C22⋊C4—21no—
1395C22⋊C4—21no—
1396C22⋊C4—41no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—41no—
1420C22⋊C4—161no—
1421C22⋊C4—161no—
1422C42—21no—
1423C42—21no—
1424C42—21no—
1425C42—21no—
1426C42—21no—
1427C42—21no—
1428C42—21no—
1429C42—21no—
1430C42—21no—
1431C42—41no—
1432C42—41no—
1433C42—41no—
1434C42—41no—
1435C42—41no—
1436C42—41no—
1437C42C22×D411yescharacteristic
1438C42C22×D411yescharacteristic
1439C42C22×D411yescharacteristic
1440C42C22×D411yescharacteristic
1441C42C2×#4112yes—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—22no—
1449C23—22no—
1450C23—44no—
1451C23—41no—
1452C23—41no—
1453C23—41no—
1454C23—41no—
1455C23—81no—
1456C23—81no—
1457C23—81no—
1458C23—81no—
1459C23—82no—
1460C23—82no—
1461C23—161no—
1462C23—161no—
1463C23—161no—
1464C23—161no—
1465C23—161no—
1466C23—161no—
1467C23C2×H(5,𝔽2)11yescharacteristic
1468Q8—21no—
1469Q8—21no—
1470Q8—21no—
1471Q8—21no—
1472Q8—21no—
1473Q8—21no—
1474Q8—21no—
1475Q8—21no—
1476Q8—21no—
1477Q8—21no—
1478Q8—21no—
1479Q8—21no—
1480Q8—82no—
1481Q8—161no—
1482D4—22no—
1483D4—22no—
1484D4—21no—
1485D4—21no—
1486D4—21no—
1487D4—21no—
1488D4—21no—
1489D4—21no—
1490D4—22no—
1491D4—22no—
1492D4—21no—
1493D4—21no—
1494D4—21no—
1495D4—21no—
1496D4—21no—
1497D4—21no—
1498D4—42no—
1499D4—44no—
1500D4—44no—
1501D4—41no—
1502D4—41no—
1503D4—41no—
1504D4—41no—
1505D4—41no—
1506D4—41no—
1507D4—41no—
1508D4—41no—
1509D4—41no—
1510D4—41no—
1511D4—41no—
1512D4—41no—
1513D4—41no—
1514D4—41no—
1515D4—41no—
1516D4—41no—
1517D4—81no—
1518D4—81no—
1519D4—81no—
1520D4—82no—
1521D4—82no—
1522D4—82no—
1523D4—82no—
1524D4—164no—
1525D4—161no—
1526D4—161no—
1527D4—161no—
1528D4—161no—
1529D4—161no—
1530D4—161no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—41no—
1543C2×C4—41no—
1544C2×C4—42no—
1545C2×C4—41no—
1546C2×C4—41no—
1547C2×C4—44no—
1548C2×C4—41no—
1549C2×C4—41no—
1550C2×C4—41no—
1551C2×C4—41no—
1552C2×C4—41no—
1553C2×C4—41no—
1554C2×C4—41no—
1555C2×C4—41no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—41no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—41no—
1566C2×C4—41no—
1567C2×C4—41no—
1568C2×C4—41no—
1569C2×C4—81no—
1570C2×C4—81no—
1571C2×C4—81no—
1572C2×C4—82no—
1573C2×C4—82no—
1574C2×C4—82no—
1575C2×C4—82no—
1576C2×C4—81no—
1577C2×C4—81no—
1578C2×C4—81no—
1579C2×C4—81no—
1580C2×C4—81no—
1581C2×C4—81no—
1582C2×C4—161no—
1583C2×C4—161no—
1584C2×C4—161no—
1585C2×C4—161no—
1586C2×C4—161no—
1587C2×C4—161no—
1588C2×C4—161no—
1589C2×C4—161no—
1590C2×C4—161no—
1591C2×C4—161no—
1592C2×C4D4211yescharacteristic
1593C2×C4D4211yescharacteristic
1594C2×C4D4211yescharacteristic
1595C2×C4D4211yescharacteristic
1596C2×C4C23×D411yescharacteristic
1597C2×C4C23×D411yescharacteristic
1598C2×C4C22×#4111yescharacteristic
1599C2×C4#58511yescharacteristic
1600C2×C4#58511yescharacteristic
1601C2×C4#58511yescharacteristic
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—21no—
1606C8—21no—
1607C8—21no—
1608C8—21no—
1609C8—21no—
1610C8—41no—
1611C8—41no—
1612C8—41no—
1613C8—41no—
1614C8—41no—
1615C8—41no—
1616C8—41no—
1617C8—41no—
1618C22—21no—
1619C22—21no—
1620C22—41no—
1621C22—41no—
1622C22—42no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—42no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—82no—
1641C22—82no—
1642C22—81no—
1643C22—81no—
1644C22—81no—
1645C22—81no—
1646C22—161no—
1647C22—161no—
1648C22—164no—
1649C22—322no—
1650C22—322no—
1651C22C2×D4211yescharacteristic
1652C22#350511yescharacteristic
1653C22#354011yescharacteristic
1654C4—21no—
1655C4—21no—
1656C4—21no—
1657C4—21no—
1658C4—42no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—81no—
1670C4—81no—
1671C4—81no—
1672C4—81no—
1673C4—81no—
1674C4—81no—
1675C4—81no—
1676C4D4×#4111yescharacteristic
1677C4D4×#4111yescharacteristic
1678C4#348511yescharacteristic
1679C4#348511yescharacteristic
1680C2—21no—
1681C2—21no—
1682C2—81no—
1683C2—81no—
1684C2—81no—
1685C2—81no—
1686C2—81no—
1687C2—81no—
1688C2—82no—
1689C2—82no—
1690C2#5900011yescharacteristic
1691C2#6110611yescharacteristic
1692C2#6110711yescharacteristic
subgroupG/H
center, socleC22C2×D42
commutator, Frattini, cosocleC22×C4C25
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. #61201C2semidirect
2. #61199C2semidirect
3. #60601C2semidirect
4. #60597C2semidirect
5. #31074C2semidirect
6. #31070C2semidirect
7. #30431C2semidirect
8. #30428C2semidirect
9. #28525C2semidirect
10. #26580C2semidirect
11. #26578C2semidirect
12. #25670C2semidirect
13. #25669C2semidirect
14. #25362C2semidirect
15. #25359C2semidirect
16. #25054C2semidirect
17. #25054C2semidirect
18. #25052C2semidirect
19. #25050C2semidirect
20. #24932C2semidirect
21. #24932C2semidirect
22. #24929C2semidirect
23. #24928C2semidirect
24. #24724C2semidirect
25. #24720C2semidirect
26. #24226C2semidirect
27. #23115C2semidirect
28. #23115C2semidirect
29. #22897C2semidirect
30. #22891C2semidirect
31. #21473C2semidirect
34. #3496C22semidirect
35. C4×H(5,𝔽2)C22semidirect
52. #3142C22semidirect
53. #3141C22semidirect
70. #3099C22semidirect
71. #3099C22semidirect
72. #3099C22semidirect
73. #3099C22semidirect
74. #3098C22semidirect
75. #3098C22semidirect
76. #3098C22semidirect
77. #3098C22semidirect
78. #3080C22semidirect
79. #3079C22semidirect
80. C2×#478C22semidirect
81. C2×#478C22semidirect
82. C2×#476C22semidirect
83. C2×#474C22semidirect
99. #3012C22semidirect
100. #3012C22semidirect
101. #3012C22semidirect
102. #3012C22semidirect
103. #2952C22semidirect
104. #2952C22semidirect
105. #2952C22semidirect
106. #2951C22semidirect
107. #2946C22semidirect
108. #2946C22semidirect
109. #2946C22semidirect
110. #2946C22semidirect
113. #2935C22semidirect
114. #2935C22semidirect
115. #2925C22semidirect
116. #2925C22semidirect
117. #2897C22semidirect
118. #2897C22semidirect
119. #2897C22semidirect
120. #2897C22semidirect
121. #2660C22semidirect
123. #2094C22semidirect
124. #2093C22semidirect
125. #2092C22semidirect
126. #2092C22semidirect
127. #2079C22semidirect
128. #2079C22semidirect
129. #2079C22semidirect
130. #2079C22semidirect
131. #2078C22semidirect
132. #2078C22semidirect
133. #2078C22semidirect
134. #2078C22semidirect
139. #2051C22semidirect
140. #2051C22semidirect
141. #2051C22semidirect
142. #2051C22semidirect
143. #2040C22semidirect
144. #2040C22semidirect
145. #2040C22semidirect
146. #2040C22semidirect
147. #2040C22semidirect
148. #2040C22semidirect
149. #2039C22semidirect
150. #2039C22semidirect
151. #2039C22semidirect
152. #2039C22semidirect
155. #1998C22semidirect
156. #1997C22semidirect
157. #1975C22semidirect
158. #1975C22semidirect
159. #1974C22semidirect
160. #1974C22semidirect
161. #1963C22semidirect
162. #1963C22semidirect
165. #1952C22semidirect
166. #1952C22semidirect
167. #1952C22semidirect
168. #1951C22semidirect
169. #1950C22semidirect
170. #1950C22semidirect
171. #1931C22semidirect
172. #1931C22semidirect
173. #1931C22semidirect
174. #1931C22semidirect
175. #1929C22semidirect
176. #1929C22semidirect
177. #1929C22semidirect
178. #1929C22semidirect
179. #1907C22semidirect
180. #1907C22semidirect
181. #1907C22semidirect
182. #1907C22semidirect
186. #1876C22semidirect
187. #1876C22semidirect
188. #1876C22semidirect
189. #1876C22semidirect
190. #1860C22semidirect
191. #1860C22semidirect
192. #1860C22semidirect
193. #1860C22semidirect
194. #1860C22semidirect
195. #1860C22semidirect
196. #1859C22semidirect
197. #1859C22semidirect
198. #1859C22semidirect
199. #1859C22semidirect
200. #1856C22semidirect
201. #1847C22semidirect
202. #1846C22semidirect
203. #1816C22semidirect
204. #1815C22semidirect
205. #1815C22semidirect
206. #1815C22semidirect
207. #1800C22semidirect
208. #1792C22semidirect
209. #1792C22semidirect
210. #1792C22semidirect
211. #1768C22semidirect
212. #1765C22semidirect
213. #1765C22semidirect
214. #1764C22semidirect
215. #1764C22semidirect
216. #1759C22semidirect
217. #1759C22semidirect
218. C4×#100C22semidirect
378. #464D4semidirect
379. #464D4semidirect
380. #464D4semidirect
381. #464D4semidirect
386. #463D4semidirect
387. #463D4semidirect
388. #463D4semidirect
389. #463D4semidirect
390. #462D4semidirect
391. #462D4semidirect
394. #461D4semidirect
395. #461D4semidirect
396. #460D4semidirect
397. #460D4semidirect
400. #459D4semidirect
401. #459D4semidirect
756. #127#41semidirect

Maximal subgroups

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

subgroupindex
#612012
#611992
#606012
#605972
#310742
#310702
#304312
#304282
#285252
#265802
#265782
#256702
#256692
#253622
#253592
#250542
#250522
#250502
#249322
#249292
#249282
#247242
#247202
#242262
#231152
#228972
#228912
#214732