Finite Group Databasebeta

← #7516554

Subgroups — #7516554

Order 512.

2007 conjugacy classes of subgroups.

The subgroup lattice has 1802 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#61183C211yesmaximal, characteristic, complemented
2#61072C211yesmaximal, characteristic, complemented
3#60587C211yesmaximal, characteristic, complemented
4#60523C211yesmaximal, characteristic, complemented
5#31186C211yesmaximal, characteristic, complemented
6#31048C211yesmaximal, characteristic, complemented
7#30765C211yesmaximal, characteristic, complemented
8#30696C211yesmaximal, characteristic, complemented
9#28319C211yesmaximal, characteristic, complemented
10#27286C211yesmaximal, characteristic, complemented
11#26996C211yesmaximal, characteristic, complemented
12#26648C211yesmaximal, characteristic, complemented
13#26402C211yesmaximal, characteristic, complemented
14#26272C211yesmaximal, characteristic, complemented
15#26195C211yesmaximal, characteristic, complemented
16#25528C211yesmaximal, characteristic, complemented
17#25269C211yesmaximal, characteristic, complemented
18#25269C211yesmaximal, characteristic, complemented
19#25180C211yesmaximal, characteristic, complemented
20#24929C211yesmaximal, characteristic, complemented
21#24799C211yesmaximal, characteristic, complemented
22#24520C211yesmaximal, characteristic, complemented
23#24468C211yesmaximal, characteristic, complemented
24#24456C211yesmaximal, characteristic, complemented
25#24398C211yesmaximal, characteristic, complemented
26#24022C211yesmaximal, characteristic, complemented
27#23046C211yesmaximal, characteristic, complemented
28#22951C211yesmaximal, characteristic, complemented
29#22887C211yesmaximal, characteristic, complemented
30#22463C211yesmaximal, characteristic, complemented
31#20945C211yesmaximal, characteristic, complemented
32C2×#576C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34#3494C2211yescharacteristic, complemented
35#3488C2211yescharacteristic
36#3484C2211yescharacteristic
37#3428C2211yescharacteristic, complemented
38#3325—21no—
39#3322—21no—
40#3319—21no—
41#3318—21no—
42#3318—21no—
43#3306—21no—
44#3297—21no—
45#3294—21no—
46#3282—21no—
47D4×D8—21no—
48#3274—21no—
49#3273—21no—
50#3268—21no—
51#3265—21no—
52#3264—21no—
53#3264—21no—
54#3155C2211yescharacteristic
55#3136C2211yescharacteristic, complemented
56#3126—21no—
57#3122—21no—
58#3121—21no—
59#3118—21no—
60#3115—21no—
61#3111—21no—
62#3106—21no—
63#3102—21no—
64#3099—21no—
65#3099C2211yescharacteristic, complemented
66#3098—21no—
67#3098C2211yescharacteristic, complemented
68#3096—21no—
69#3096—21no—
70#3096C2211yescharacteristic, complemented
71#3096C2211yescharacteristic, complemented
72#3096C2211yescharacteristic, complemented
73#3094—21no—
74#3094C2211yescharacteristic, complemented
75#3093—21no—
76#3093C2211yescharacteristic
77#3093C2211yescharacteristic, complemented
78#3091—21no—
79#3091C2211yescharacteristic
80C2×#482—21no—
81C2×#482C2211yescharacteristic, complemented
82C2×#482C2211yescharacteristic, complemented
83#3084C2211yescharacteristic, complemented
84#3083C2211yescharacteristic, complemented
85#3081C2211yescharacteristic, complemented
86C2×#472C2211yescharacteristic
87C2×#472C2211yescharacteristic, complemented
88#3062C2211yescharacteristic
89#3058C2211yescharacteristic, complemented
90#3055C2211yescharacteristic
91#3055C2211yescharacteristic
92#3045C2211yescharacteristic
93#3045C2211yescharacteristic, complemented
94#3045C2211yescharacteristic, complemented
95#3041C2211yescharacteristic
96#3041C2211yescharacteristic, complemented
97C2×#453C2211yescharacteristic, complemented
98#3012C2211yescharacteristic
99#3008C2211yescharacteristic
100#3008C2211yescharacteristic, complemented
101#3006C2211yescharacteristic, complemented
102#3002C2211yescharacteristic
103C2×#447C2211yescharacteristic
104C2×#447C2211yescharacteristic, complemented
105C2×#444C2211yescharacteristic, complemented
106#2952C2211yescharacteristic, complemented
107#2951C2211yescharacteristic, complemented
108#2948C2211yescharacteristic, complemented
109#2946C2211yescharacteristic
110#2946C2211yescharacteristic, complemented
111#2946C2211yescharacteristic, complemented
112#2933C2211yescharacteristic
113#2933C2211yescharacteristic, complemented
114#2924C2211yescharacteristic, complemented
115#2913C2211yescharacteristic, complemented
116#2912C2211yescharacteristic, complemented
117C2×#421C2211yescharacteristic, complemented
118#2897C2211yescharacteristic, complemented
119#2897C2211yescharacteristic, complemented
120#2897C2211yescharacteristic, complemented
121C2×#418C2211yescharacteristic, complemented
122#2880C2211yescharacteristic, complemented
123#2619C2211yescharacteristic, complemented
124#2309C2211yescharacteristic, complemented
125#2092C2211yescharacteristic, complemented
126#2092C2211yescharacteristic, complemented
127#2090C2211yescharacteristic, complemented
128#2090C2211yescharacteristic, complemented
129#2078C2211yescharacteristic, complemented
130#2078C2211yescharacteristic, complemented
131#2063C2211yescharacteristic, complemented
132#2063C2211yescharacteristic, complemented
133#2063C2211yescharacteristic, complemented
134#2063C2211yescharacteristic, complemented
135#2061C2211yescharacteristic, complemented
136#2051C2211yescharacteristic, complemented
137#2051C2211yescharacteristic, complemented
138#2051C2211yescharacteristic, complemented
139#2051C2211yescharacteristic, complemented
140#2045C2211yescharacteristic, complemented
141#2045C2211yescharacteristic, complemented
142#2040C2211yescharacteristic, complemented
143#2037C2211yescharacteristic, complemented
144#2037C2211yescharacteristic, complemented
145#2037C2211yescharacteristic, complemented
146#2037C2211yescharacteristic, complemented
147#2037C2211yescharacteristic, complemented
148#2037C2211yescharacteristic, complemented
149#2027C2211yescharacteristic, complemented
150#2018C2211yescharacteristic, complemented
151#2018C2211yescharacteristic, complemented
152#2011C2211yescharacteristic, complemented
153#2011C2211yescharacteristic, complemented
154#2006C2211yescharacteristic, complemented
155#2002C2211yescharacteristic, complemented
156#2002C2211yescharacteristic, complemented
157#1978C2211yescharacteristic, complemented
158#1978C2211yescharacteristic, complemented
159#1974C2211yescharacteristic, complemented
160#1972C2211yescharacteristic, complemented
161#1972C2211yescharacteristic, complemented
162#1970C2211yescharacteristic, complemented
163#1970C2211yescharacteristic, complemented
164#1952C2211yescharacteristic, complemented
165#1952C2211yescharacteristic, complemented
166#1946C2211yescharacteristic, complemented
167#1938C2211yescharacteristic, complemented
168#1937C2211yescharacteristic, complemented
169#1931C2211yescharacteristic, complemented
170#1931C2211yescharacteristic, complemented
171#1931C2211yescharacteristic, complemented
172#1931C2211yescharacteristic, complemented
173#1929C2211yescharacteristic, complemented
174#1929C2211yescharacteristic, complemented
175#1922C2211yescharacteristic, complemented
176#1922C2211yescharacteristic, complemented
177#1907C2211yescharacteristic
178#1907C2211yescharacteristic, complemented
179#1907C2211yescharacteristic, complemented
180#1907C2211yescharacteristic, complemented
181#1900C2211yescharacteristic, complemented
182#1900C2211yescharacteristic, complemented
183#1897C2211yescharacteristic
184#1897C2211yescharacteristic, complemented
185#1887C2211yescharacteristic, complemented
186#1883C2211yescharacteristic
187#1883C2211yescharacteristic
188#1883C2211yescharacteristic, complemented
189#1883C2211yescharacteristic, complemented
190#1883C2211yescharacteristic, complemented
191#1883C2211yescharacteristic, complemented
192#1883C2211yescharacteristic, complemented
193#1883C2211yescharacteristic, complemented
194#1883C2211yescharacteristic, complemented
195#1883C2211yescharacteristic, complemented
196#1876C2211yescharacteristic, complemented
197#1876C2211yescharacteristic, complemented
198#1866C2211yescharacteristic, complemented
199#1866C2211yescharacteristic, complemented
200#1860C2211yescharacteristic, complemented
201#1860C2211yescharacteristic, complemented
202#1856C2211yescharacteristic, complemented
203#1856C2211yescharacteristic, complemented
204#1856C2211yescharacteristic, complemented
205#1855C2211yescharacteristic, complemented
206#1855C2211yescharacteristic, complemented
207#1815C2211yescharacteristic, complemented
208#1815C2211yescharacteristic, complemented
209#1792C2211yescharacteristic, complemented
210#1792C2211yescharacteristic, complemented
211#1792C2211yescharacteristic, complemented
212#1783C2211yescharacteristic, complemented
213#1772C2211yescharacteristic, complemented
214#1765C2211yescharacteristic, complemented
215#1764C2211yescharacteristic, complemented
216#1750C2211yescharacteristic, complemented
217#1742C2211yescharacteristic, complemented
218#1733C2211yescharacteristic, complemented
219C2×H(5,𝔽2)C2311yescharacteristic
220C2×H(5,𝔽2)C2311yescharacteristic
221C22×#41C2311yescharacteristic
222C23×D4C2311yescharacteristic
223#576—24no—
224#576—42no—
225C2×AGL(1,ℤ/8)—21no—
226C2×AGL(1,ℤ/8)—21no—
227C2×AGL(1,ℤ/8)—21no—
228C2×AGL(1,ℤ/8)—21no—
229C2×AGL(1,ℤ/8)—24no—
230C2×AGL(1,ℤ/8)—42no—
231C2×AGL(1,ℤ/8)C2311yescharacteristic
232C2×AGL(1,ℤ/8)C2311yescharacteristic
233C2×AGL(1,ℤ/8)C2311yescharacteristic
234C2×AGL(1,ℤ/8)C2311yescharacteristic
235C2×AGL(1,ℤ/8)C2311yescharacteristic
236C2×AGL(1,ℤ/8)C2311yescharacteristic
237C2×AGL(1,ℤ/8)C2311yescharacteristic
238C2×AGL(1,ℤ/8)C2311yescharacteristic
239C2×#135—21no—
240C2×#135C2311yescharacteristic
241C2×#135C2311yescharacteristic
242C22×SD16—21no—
243C22×D8—21no—
244C22×D8—21no—
245C22×D8C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×D8C2311yescharacteristic
248C22×D8C2311yescharacteristic
249C2×#131C2311yescharacteristic
250C2×#131C2311yescharacteristic
251C2×#131C2311yescharacteristic
252C2×#131C2311yescharacteristic
253C22×M16C2311yescharacteristic
254C22×M16C2311yescharacteristic
255#555—21no—
256#553—21no—
257#553—21no—
258#551—41no—
259#550—21no—
260#548—21no—
261#547—21no—
262#546—21no—
263#546—21no—
264#546—21no—
265#546—21no—
266#546—21no—
267#546—41no—
268#546—41no—
269D42—21no—
270D42—21no—
271D42—21no—
272D42—21no—
273D42—21no—
274D42—41no—
275#544C2311yescharacteristic
276#542—21no—
277#540—21no—
278#537—21no—
279#537C2311yescharacteristic
280#535—21no—
281#535C2311yescharacteristic
282#535C2311yescharacteristic
283#535C2311yescharacteristic
284#535C2311yescharacteristic
285#534—41no—
286#532—21no—
287C2×#127C2311yescharacteristic
288#529—21no—
289#525—21no—
290#525C2311yescharacteristic
291#525C2311yescharacteristic
292C2×#121—21no—
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#120—41no—
296#520—21no—
297#520—21no—
298#520C2311yescharacteristic
299#520C2311yescharacteristic
300#520C2311yescharacteristic
301#520C2311yescharacteristic
302#520C2311yescharacteristic
303#520C2311yescharacteristic
304#519—21no—
305#518—21no—
306#518—41no—
307#518C2311yescharacteristic
308#518C2311yescharacteristic
309C4×#41—21no—
310C4×#41—21no—
311C4×#41—41no—
312C2×#117—21no—
313C2×#117—21no—
314C2×#117C2311yescharacteristic
315C2×#117C2311yescharacteristic
316C2×#117C2311yescharacteristic
317#496—21no—
318#496—21no—
319#495—21no—
320#493—21no—
321#490—21no—
322#489—21no—
323#488—21no—
324#486—21no—
325#485—21no—
326#485—21no—
327#485—21no—
328#485—21no—
329#485—21no—
330#485—21no—
331#485D411yescharacteristic, complemented
332#485D411yescharacteristic, complemented
333#484—21no—
334#484D411yescharacteristic, complemented
335#483—21no—
336#483D411yescharacteristic, complemented
337#482—21no—
338#482—21no—
339#482—21no—
340#482—21no—
341#482—21no—
342#482—21no—
343#482—21no—
344#482—21no—
345#482—21no—
346#482—21no—
347#482—21no—
348#482—21no—
349#482—21no—
350#482—21no—
351#482—21no—
352#482—21no—
353#482—21no—
354#482—21no—
355#482—21no—
356#482—21no—
357#482—21no—
358#482—21no—
359#482D411yescharacteristic, complemented
360#482D411yescharacteristic, complemented
361#481—21no—
362#481—21no—
363#481—21no—
364#481—21no—
365#481—21no—
366#481D411yescharacteristic, complemented
367#480—21no—
368#480—21no—
369#480—21no—
370#480—21no—
371#480—21no—
372#480D411yescharacteristic, complemented
373#479—21no—
374#479—21no—
375#478—21no—
376#478—21no—
377#478—21no—
378#478—21no—
379#477—21no—
380#476—21no—
381#476—21no—
382#475—21no—
383#474—21no—
384#474—21no—
385#472—24no—
386#472—42no—
387#469—21no—
388#469—21no—
389#469—21no—
390#469—21no—
391#469—21no—
392#468—21no—
393#468—21no—
394#468—21no—
395#466—21no—
396#466—21no—
397#466—21no—
398#466—21no—
399#466—21no—
400#465—21no—
401#465—21no—
402#465—21no—
403#464—21no—
404#464—21no—
405#464—21no—
406#463—21no—
407#463—21no—
408#463—21no—
409#463—21no—
410#463—21no—
411#463—21no—
412#463—21no—
413#460—21no—
414#460—21no—
415#460—21no—
416#459—21no—
417#459—21no—
418#459—21no—
419#459—21no—
420#459—21no—
421#459—21no—
422#459—21no—
423#453—42no—
424#452—21no—
425#452D411yescharacteristic, complemented
426#452D411yescharacteristic, complemented
427#451D411yescharacteristic, complemented
428#450—21no—
429#450D411yescharacteristic, complemented
430#449—21no—
431#449—21no—
432#449—21no—
433#449—21no—
434#449—21no—
435#449—21no—
436#449—21no—
437#449D411yescharacteristic, complemented
438#449D411yescharacteristic, complemented
439#448—21no—
440#448D411yescharacteristic, complemented
441#447—21no—
442#447—21no—
443#447—21no—
444#447—21no—
445#447—21no—
446#447—21no—
447#447—21no—
448#447—21no—
449#447—21no—
450#447—21no—
451#447—21no—
452#447—21no—
453#447—21no—
454#447—21no—
455#447D411yescharacteristic, complemented
456#444—42no—
457#442—21no—
458#442—21no—
459#442—21no—
460#442—21no—
461#442—21no—
462#442—21no—
463#441—21no—
464#440—21no—
465#440—21no—
466#440—21no—
467#440—21no—
468#440—21no—
469C4×Q16—21no—
470C4×SD16—21no—
471C4×SD16—21no—
472C4×SD16—21no—
473C4×SD16—21no—
474C4×SD16—21no—
475C4×D8—21no—
476C4×D8—21no—
477C4×D8—21no—
478C4×D8—21no—
479C4×D8—21no—
480C4×D8—21no—
481#436—21no—
482#436—21no—
483#435—21no—
484#435—21no—
485#435—21no—
486#435—21no—
487C8×D4—21no—
488C8×D4—21no—
489#433—21no—
490#433—21no—
491#432—21no—
492#431—21no—
493C2×#108C2311yescharacteristic
494C2×#108C2311yescharacteristic
495C2×#108C2311yescharacteristic
496C2×#108C2311yescharacteristic
497#428—21no—
498#428—21no—
499#428—21no—
500#428—21no—
501#428C2311yescharacteristic
502#428C2311yescharacteristic
503#428C2311yescharacteristic
504#428C2311yescharacteristic
505#428C2311yescharacteristic
506#428C2311yescharacteristic
507#428C2311yescharacteristic
508#428C2311yescharacteristic
509#427—21no—
510#427—21no—
511#427C2311yescharacteristic
512#427C2311yescharacteristic
513C2×#107—21no—
514C2×#107C2311yescharacteristic
515C2×#107C2311yescharacteristic
516C2×#106—21no—
517C2×#106C2311yescharacteristic
518C2×#106C2311yescharacteristic
519#424C2311yescharacteristic
520#424C2311yescharacteristic
521#424C2311yescharacteristic
522#424C2311yescharacteristic
523#421—42no—
524C2×#104C2311yescharacteristic
525C2×#104C2311yescharacteristic
526C2×#104C2311yescharacteristic
527C2×#104C2311yescharacteristic
528C2×#104C2311yescharacteristic
529C2×#104C2311yescharacteristic
530C2×#104C2311yescharacteristic
531C2×#104C2311yescharacteristic
532#418—21no—
533#418—21no—
534#418—21no—
535#418—21no—
536#418—21no—
537#418C2311yescharacteristic
538#418C2311yescharacteristic
539#418C2311yescharacteristic
540#418C2311yescharacteristic
541#418C2311yescharacteristic
542#418C2311yescharacteristic
543#418C2311yescharacteristic
544#418C2311yescharacteristic
545#417—21no—
546#417—21no—
547#417—21no—
548#417C2311yescharacteristic
549#417C2311yescharacteristic
550#417C2311yescharacteristic
551#417C2311yescharacteristic
552#417C2311yescharacteristic
553#417C2311yescharacteristic
554#417C2311yescharacteristic
555#417C2311yescharacteristic
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×#102—21no—
568C2×#102C2311yescharacteristic
569C2×#102C2311yescharacteristic
570C2×#102C2311yescharacteristic
571C2×#102C2311yescharacteristic
572C2×#102C2311yescharacteristic
573C2×#102C2311yescharacteristic
574C2×#102C2311yescharacteristic
575C2×#102C2311yescharacteristic
576C2×#100C2311yescharacteristic
577C2×#100C2311yescharacteristic
578C2×#100C2311yescharacteristic
579C2×#100C2311yescharacteristic
580C2×#100C2311yescharacteristic
581C2×#100C2311yescharacteristic
582C2×#100C2311yescharacteristic
583C2×#100C2311yescharacteristic
584#408—21no—
585#408—21no—
586#408C2311yescharacteristic
587#408C2311yescharacteristic
588#408C2311yescharacteristic
589#408C2311yescharacteristic
590#407—21no—
591#407C2311yescharacteristic
592#407C2311yescharacteristic
593C2×C22⋊C8—21no—
594C2×C22⋊C8C2311yescharacteristic
595C2×C22⋊C8C2311yescharacteristic
596#405C2311yescharacteristic
597#405C2311yescharacteristic
598#405C2311yescharacteristic
599#405C2311yescharacteristic
600C2×#97C2311yescharacteristic
601C2×C4×C8C2311yescharacteristic
602#394—41no—
603#392—41no—
604#390—41no—
605#390C2311yescharacteristic
606#390C2311yescharacteristic
607#390C2311yescharacteristic
608#390C2311yescharacteristic
609#390C2311yescharacteristic
610#390C2311yescharacteristic
611#382C2311yescharacteristic
612#379—41no—
613#343C2311yescharacteristic
614#343C2311yescharacteristic
615#343C2311yescharacteristic
616#343C2311yescharacteristic
617#343C2311yescharacteristic
618#343C2311yescharacteristic
619#343C2311yescharacteristic
620#343C2311yescharacteristic
621#341C2311yescharacteristic
622#341C2311yescharacteristic
623#341C2311yescharacteristic
624#341C2311yescharacteristic
625#339C2311yescharacteristic
626#339C2311yescharacteristic
627#339C2311yescharacteristic
628#339C2311yescharacteristic
629#339C2311yescharacteristic
630#339C2311yescharacteristic
631#339C2311yescharacteristic
632#339C2311yescharacteristic
633#336C2311yescharacteristic
634#336C2311yescharacteristic
635C25—21no—
636H(5,𝔽2)—22no—
637H(5,𝔽2)—22no—
638H(5,𝔽2)—22no—
639H(5,𝔽2)—41no—
640H(5,𝔽2)—41no—
641H(5,𝔽2)—41no—
642H(5,𝔽2)—41no—
643H(5,𝔽2)—41no—
644C2×#41—21no—
645C2×#41—21no—
646C2×#41—22no—
647C2×#41—22no—
648C2×#41—21no—
649C2×#41—21no—
650C2×#41—21no—
651C2×#41—21no—
652C2×#41—41no—
653C2×#41—41no—
654C2×#41—41no—
655C2×#41C2×D411yescharacteristic
656C2×#41C2×D411yescharacteristic
657C2×#41C2411yescharacteristic
658C2×#41C2411yescharacteristic
659C2×#41C2411yescharacteristic
660C2×#41C2411yescharacteristic
661C22×Q8C2×D411yescharacteristic
662C22×D4—21no—
663C22×D4—21no—
664C22×D4—22no—
665C22×D4—21no—
666C22×D4—21no—
667C22×D4—21no—
668C22×D4—21no—
669C22×D4—21no—
670C22×D4—21no—
671C22×D4—21no—
672C22×D4—21no—
673C22×D4—21no—
674C22×D4—21no—
675C22×D4—41no—
676C22×D4—41no—
677C22×D4—41no—
678C22×D4—41no—
679C22×D4—41no—
680C22×D4—41no—
681C22×D4—41no—
682C22×D4—41no—
683C22×D4—41no—
684C22×D4C2×D411yescharacteristic
685C22×D4C2411yescharacteristic
686C22×D4C2411yescharacteristic
687C22×D4C2411yescharacteristic
688C22×D4C2411yescharacteristic
689C23×C4—21no—
690C23×C4C2411yescharacteristic
691AGL(1,ℤ/8)—22no—
692AGL(1,ℤ/8)—22no—
693AGL(1,ℤ/8)—22no—
694AGL(1,ℤ/8)—22no—
695AGL(1,ℤ/8)—22no—
696AGL(1,ℤ/8)—22no—
697AGL(1,ℤ/8)—22no—
698AGL(1,ℤ/8)—22no—
699AGL(1,ℤ/8)—41no—
700AGL(1,ℤ/8)—41no—
701AGL(1,ℤ/8)—41no—
702AGL(1,ℤ/8)—41no—
703AGL(1,ℤ/8)—41no—
704AGL(1,ℤ/8)—41no—
705AGL(1,ℤ/8)—41no—
706AGL(1,ℤ/8)—44no—
707AGL(1,ℤ/8)—44no—
708AGL(1,ℤ/8)—44no—
709AGL(1,ℤ/8)—44no—
710AGL(1,ℤ/8)#4114yescomplemented
711#135—22no—
712#135—22no—
713#135—41no—
714#135—41no—
715#135—44no—
716C2×Q16C2×D411yescharacteristic
717C2×Q16C2×D411yescharacteristic
718C2×SD16—21no—
719C2×SD16—21no—
720C2×SD16—21no—
721C2×SD16—21no—
722C2×SD16—21no—
723C2×SD16—21no—
724C2×SD16—21no—
725C2×SD16—21no—
726C2×SD16—44no—
727C2×SD16C2×D411yescharacteristic
728C2×SD16C2×D411yescharacteristic
729C2×SD16C2×D411yescharacteristic
730C2×SD16C2×D411yescharacteristic
731C2×D8—21no—
732C2×D8—21no—
733C2×D8—21no—
734C2×D8—21no—
735C2×D8—21no—
736C2×D8—21no—
737C2×D8—21no—
738C2×D8—22no—
739C2×D8—22no—
740C2×D8—21no—
741C2×D8—21no—
742C2×D8—21no—
743C2×D8—21no—
744C2×D8—21no—
745C2×D8—21no—
746C2×D8—21no—
747C2×D8—21no—
748C2×D8—21no—
749C2×D8—41no—
750C2×D8—41no—
751C2×D8—41no—
752C2×D8—41no—
753C2×D8—41no—
754C2×D8—41no—
755C2×D8—44no—
756C2×D8—44no—
757C2×D8C2×D411yescharacteristic
758C2×D8C2×D411yescharacteristic
759#131—22no—
760#131—22no—
761#131—22no—
762#131—41no—
763#131—41no—
764#131—41no—
765#131—41no—
766#131—41no—
767C2×M16—21no—
768C2×M16—21no—
769C2×M16—21no—
770C2×M16—21no—
771C2×M16—21no—
772C2×M16—21no—
773C2×M16—22no—
774C2×M16—41no—
775C2×M16—41no—
776C2×M16—41no—
777C2×M16C2411yescharacteristic
778C2×M16C2411yescharacteristic
779C2×M16C2411yescharacteristic
780C2×M16C2411yescharacteristic
781C2×M16C2411yescharacteristic
782C2×M16C2411yescharacteristic
783C2×M16C2411yescharacteristic
784C2×M16C2411yescharacteristic
785C22×C8—21no—
786C22×C8—21no—
787C22×C8—21no—
788C22×C8—21no—
789C22×C8—21no—
790C22×C8—21no—
791C22×C8C2411yescharacteristic
792C22×C8C2411yescharacteristic
793C22×C8C2411yescharacteristic
794C22×C8C2411yescharacteristic
795C4⋊Q8—21no—
796C4⋊Q8—21no—
797#127—21no—
798#127—21no—
799#127—21no—
800#127—21no—
801#127—41no—
802#127—41no—
803#127—41no—
804#126—41no—
805#126—41no—
806#125—21no—
807#125—21no—
808#124—21no—
809#124—21no—
810#124—21no—
811#124—21no—
812#124—41no—
813#124—41no—
814#124—41no—
815#123—21no—
816#123—21no—
817#123—41no—
818#123—41no—
819#123—41no—
820#123—41no—
821#123—41no—
822#123—41no—
823#123—41no—
824C22⋊Q8—21no—
825C22⋊Q8—21no—
826C22⋊Q8—41no—
827C22⋊Q8—41no—
828C22⋊Q8—41no—
829C22⋊Q8C2×D411yescharacteristic
830C22⋊Q8C2×D411yescharacteristic
831C22⋊Q8C2×D411yescharacteristic
832C22⋊Q8C2×D411yescharacteristic
833#121—21no—
834#121—21no—
835#121—21no—
836#121—21no—
837#121—21no—
838#121—21no—
839#121—21no—
840#121—21no—
841#121—21no—
842#121—21no—
843#121—21no—
844#121—21no—
845#121—21no—
846#121—21no—
847#121—21no—
848#121—21no—
849#121—21no—
850#121—21no—
851#121—41no—
852#121—41no—
853#121—41no—
854#121—41no—
855#121—41no—
856#121—41no—
857#121—41no—
858#121—41no—
859#121—41no—
860#121—41no—
861#121—41no—
862#121—41no—
863#121—41no—
864#121C2×D411yescharacteristic
865#121C2×D411yescharacteristic
866#121C2×D411yescharacteristic
867#121C2×D411yescharacteristic
868#120—21no—
869#120—21no—
870#120—41no—
871#120—41no—
872#120—41no—
873#120—41no—
874#120—41no—
875#120—41no—
876#120—41no—
877#120—41no—
878#120—41no—
879#120—41no—
880#120—41no—
881#120—41no—
882#120—41no—
883C4×Q8—21no—
884C4×Q8—21no—
885C4×Q8—21no—
886C4×Q8—21no—
887C4×Q8—21no—
888C4×Q8—21no—
889C4×Q8—41no—
890C4×Q8—41no—
891C4×D4—21no—
892C4×D4—21no—
893C4×D4—21no—
894C4×D4—21no—
895C4×D4—21no—
896C4×D4—21no—
897C4×D4—21no—
898C4×D4—21no—
899C4×D4—21no—
900C4×D4—21no—
901C4×D4—21no—
902C4×D4—21no—
903C4×D4—21no—
904C4×D4—21no—
905C4×D4—21no—
906C4×D4—21no—
907C4×D4—21no—
908C4×D4—21no—
909C4×D4—41no—
910C4×D4—41no—
911C4×D4—41no—
912C4×D4—41no—
913C4×D4—41no—
914C4×D4—41no—
915C4×D4—41no—
916C4×D4—41no—
917C4×D4—41no—
918C4×D4—41no—
919C4×D4—41no—
920C4×D4—41no—
921C4×D4—41no—
922C4×D4—41no—
923C4×D4—41no—
924C4×D4—41no—
925#117—21no—
926#117—21no—
927#117—21no—
928#117—21no—
929#117—21no—
930#117—21no—
931#117—21no—
932#117—21no—
933#117—21no—
934#117—21no—
935#117—21no—
936#117—21no—
937#117—41no—
938#117—41no—
939#117—41no—
940#117—41no—
941#117—41no—
942#117—41no—
943#117—41no—
944#117C2×D411yescharacteristic
945#117C2×D411yescharacteristic
946#117C2411yescharacteristic
947#117C2411yescharacteristic
948#117C2411yescharacteristic
949#117C2411yescharacteristic
950C2×C4⋊C4—21no—
951C2×C4⋊C4—21no—
952C2×C4⋊C4—21no—
953C2×C4⋊C4—21no—
954C2×C4⋊C4—21no—
955C2×C4⋊C4—21no—
956C2×C4⋊C4—21no—
957C2×C4⋊C4C2×D411yescharacteristic
958C2×C4⋊C4C2×D411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C22⋊C4—21no—
964C2×C22⋊C4—21no—
965C2×C22⋊C4—21no—
966C2×C22⋊C4—21no—
967C2×C22⋊C4—21no—
968C2×C22⋊C4—41no—
969C2×C22⋊C4—41no—
970C2×C22⋊C4—41no—
971C2×C22⋊C4—41no—
972C2×C22⋊C4—41no—
973C2×C22⋊C4—41no—
974C2×C22⋊C4—41no—
975C2×C22⋊C4—41no—
976C2×C22⋊C4—41no—
977C2×C22⋊C4—41no—
978C2×C22⋊C4—41no—
979C2×C22⋊C4—41no—
980C2×C22⋊C4—41no—
981C2×C42—21no—
982C2×C42—21no—
983C2×C42—41no—
984C2×C42—41no—
985C2×C42C2411yescharacteristic
986C2×C42C2411yescharacteristic
987#108—22no—
988#108—41no—
989#108—41no—
990#108—41no—
991#107—21no—
992#107—21no—
993#107—21no—
994#107—21no—
995#107—21no—
996#107—21no—
997#107—21no—
998#107—21no—
999#107—21no—
1000#107—21no—
1001#107—21no—
1002#107—21no—
1003#107C2×D411yescharacteristic
1004#107C2×D411yescharacteristic
1005#107C2×D411yescharacteristic
1006#107C2×D411yescharacteristic
1007#106—21no—
1008#106—21no—
1009#106—21no—
1010#106—21no—
1011#106—21no—
1012#106—21no—
1013#106—21no—
1014#106—21no—
1015#106—21no—
1016#106—21no—
1017#106—21no—
1018#106—21no—
1019#106C2×D411yescharacteristic
1020#106C2×D411yescharacteristic
1021#106C2×D411yescharacteristic
1022#106C2×D411yescharacteristic
1023C4⋊C8—21no—
1024C4⋊C8—21no—
1025C4⋊C8—21no—
1026C4⋊C8—21no—
1027C4⋊C8—21no—
1028C4⋊C8—21no—
1029C4⋊C8—21no—
1030C4⋊C8—21no—
1031#104—22no—
1032#104—22no—
1033#104—41no—
1034#104—41no—
1035#104—41no—
1036#104—41no—
1037#104—41no—
1038#104—41no—
1039#103—21no—
1040#103—21no—
1041#103—21no—
1042#103—21no—
1043#103—21no—
1044#103—21no—
1045#103—21no—
1046#103—21no—
1047#103C2×D411yescharacteristic
1048#103C2×D411yescharacteristic
1049#103C2×D411yescharacteristic
1050#103C2×D411yescharacteristic
1051#103C2×D411yescharacteristic
1052#103C2×D411yescharacteristic
1053#103C2×D411yescharacteristic
1054#103C2×D411yescharacteristic
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#102—21no—
1064#102—21no—
1065#102—21no—
1066#102—21no—
1067#102—21no—
1068#102—21no—
1069#102—21no—
1070#102—21no—
1071#102—21no—
1072#102—21no—
1073#102—21no—
1074#102—21no—
1075#102—21no—
1076#102—21no—
1077#102—21no—
1078#102—21no—
1079#102—21no—
1080#102—21no—
1081#102—21no—
1082#102—21no—
1083#102—21no—
1084#102—21no—
1085#102—21no—
1086#102—21no—
1087#102—21no—
1088#102—21no—
1089#102—21no—
1090#102—21no—
1091#102—21no—
1092#102—21no—
1093#102—21no—
1094#102—21no—
1095#102C2×D411yescharacteristic
1096#102C2×D411yescharacteristic
1097#102C2×D411yescharacteristic
1098#102C2×D411yescharacteristic
1099#102C2×D411yescharacteristic
1100#102C2×D411yescharacteristic
1101#102C2×D411yescharacteristic
1102#102C2×D411yescharacteristic
1103#100—22no—
1104#100—22no—
1105#100—41no—
1106#100—41no—
1107#100—41no—
1108#100—41no—
1109#100—41no—
1110#100—41no—
1111C22⋊C8—21no—
1112C22⋊C8—21no—
1113C22⋊C8—21no—
1114C22⋊C8—21no—
1115C22⋊C8—21no—
1116C22⋊C8—21no—
1117C22⋊C8—21no—
1118C22⋊C8—21no—
1119C22⋊C8—21no—
1120C22⋊C8—21no—
1121C22⋊C8—21no—
1122C22⋊C8—21no—
1123C22⋊C8C2×D411yescharacteristic
1124C22⋊C8C2×D411yescharacteristic
1125C22⋊C8C2×D411yescharacteristic
1126C22⋊C8C2×D411yescharacteristic
1127C22⋊C8C2×D411yescharacteristic
1128C22⋊C8C2×D411yescharacteristic
1129C22⋊C8C2×D411yescharacteristic
1130C22⋊C8C2×D411yescharacteristic
1131#97—21no—
1132#97—21no—
1133#97—21no—
1134#97—21no—
1135#97—41no—
1136C4×C8—21no—
1137C4×C8—21no—
1138C4×C8—21no—
1139C4×C8—21no—
1140C4×C8—41no—
1141#95—41no—
1142C24—21no—
1143C24—21no—
1144C24—21no—
1145C24—21no—
1146C24—21no—
1147C24—41no—
1148C24—41no—
1149C24—42no—
1150C24—41no—
1151C24—41no—
1152C24—81no—
1153C24—161no—
1154C24—161no—
1155C24H(5,𝔽2)11yescharacteristic
1156#41—21no—
1157#41—21no—
1158#41—22no—
1159#41—22no—
1160#41—21no—
1161#41—21no—
1162#41—21no—
1163#41—21no—
1164#41—21no—
1165#41—21no—
1166#41—21no—
1167#41—21no—
1168#41—21no—
1169#41—21no—
1170#41—21no—
1171#41—21no—
1172#41—42no—
1173#41—42no—
1174#41—41no—
1175#41—41no—
1176#41—42no—
1177#41—42no—
1178#41—42no—
1179#41—42no—
1180#41—42no—
1181#41—42no—
1182#41—42no—
1183#41—81no—
1184#41—81no—
1185#41—81no—
1186#41—162no—
1187#41C2×#4112yes—
1188#41H(5,𝔽2)12yes—
1189C2×Q8—21no—
1190C2×Q8—22no—
1191C2×Q8—41no—
1192C2×Q8—41no—
1193C2×Q8C22×D411yescharacteristic
1194C2×Q8C22×D411yescharacteristic
1195C2×Q8C22×D411yescharacteristic
1196C2×Q8C22×D411yescharacteristic
1197C2×D4—21no—
1198C2×D4—22no—
1199C2×D4—21no—
1200C2×D4—21no—
1201C2×D4—21no—
1202C2×D4—21no—
1203C2×D4—21no—
1204C2×D4—21no—
1205C2×D4—21no—
1206C2×D4—21no—
1207C2×D4—21no—
1208C2×D4—21no—
1209C2×D4—21no—
1210C2×D4—21no—
1211C2×D4—21no—
1212C2×D4—21no—
1213C2×D4—21no—
1214C2×D4—21no—
1215C2×D4—21no—
1216C2×D4—21no—
1217C2×D4—21no—
1218C2×D4—21no—
1219C2×D4—21no—
1220C2×D4—21no—
1221C2×D4—21no—
1222C2×D4—21no—
1223C2×D4—21no—
1224C2×D4—21no—
1225C2×D4—21no—
1226C2×D4—21no—
1227C2×D4—21no—
1228C2×D4—21no—
1229C2×D4—21no—
1230C2×D4—21no—
1231C2×D4—21no—
1232C2×D4—41no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—42no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—81no—
1265C2×D4—81no—
1266C2×D4—81no—
1267C2×D4—81no—
1268C2×D4—81no—
1269C2×D4—81no—
1270C2×D4—81no—
1271C2×D4—81no—
1272C2×D4—82no—
1273C2×D4—82no—
1274C2×D4—82no—
1275C2×D4—82no—
1276C2×D4—82no—
1277C2×D4—161no—
1278C2×D4—161no—
1279C2×D4—161no—
1280C2×D4—161no—
1281C2×D4—162no—
1282C2×D4—162no—
1283C2×D4—162no—
1284C2×D4C22×D411yescharacteristic
1285C2×D4C22×D411yescharacteristic
1286C2×D4C22×D411yescharacteristic
1287C2×D4C22×D411yescharacteristic
1288C2×D4C2×#4112yes—
1289C22×C4—21no—
1290C22×C4—21no—
1291C22×C4—21no—
1292C22×C4—21no—
1293C22×C4—21no—
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4—21no—
1297C22×C4—21no—
1298C22×C4—21no—
1299C22×C4—21no—
1300C22×C4—21no—
1301C22×C4—21no—
1302C22×C4—21no—
1303C22×C4—21no—
1304C22×C4—21no—
1305C22×C4—21no—
1306C22×C4—21no—
1307C22×C4—21no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—41no—
1317C22×C4—41no—
1318C22×C4—41no—
1319C22×C4—41no—
1320C22×C4—41no—
1321C22×C4—41no—
1322C22×C4C22×D411yescharacteristic
1323C22×C4C22×D411yescharacteristic
1324C22×C4C22×D411yescharacteristic
1325C22×C4C22×D411yescharacteristic
1326C22×C4H(5,𝔽2)11yescharacteristic
1327C22×C4C2511yescharacteristic
1328Q16—22no—
1329Q16—41no—
1330SD16—24no—
1331SD16—22no—
1332SD16—22no—
1333SD16—41no—
1334SD16—41no—
1335SD16—42no—
1336SD16—42no—
1337SD16—42no—
1338SD16—42no—
1339SD16—42no—
1340SD16—42no—
1341SD16—81no—
1342D8—24no—
1343D8—22no—
1344D8—41no—
1345D8—42no—
1346D8—42no—
1347D8—42no—
1348D8—42no—
1349D8—42no—
1350D8—42no—
1351D8—42no—
1352D8—42no—
1353D8—42no—
1354D8—42no—
1355D8—81no—
1356D8—81no—
1357D8—81no—
1358D8—81no—
1359D8—81no—
1360M16—21no—
1361M16—21no—
1362M16—21no—
1363M16—21no—
1364M16—21no—
1365M16—21no—
1366M16—21no—
1367M16—21no—
1368M16—21no—
1369M16—21no—
1370M16—21no—
1371M16—21no—
1372M16—21no—
1373M16—21no—
1374M16—21no—
1375M16—42no—
1376M16—42no—
1377M16—42no—
1378M16—42no—
1379M16—81no—
1380M16—81no—
1381M16C2×#4112yes—
1382C2×C8—21no—
1383C2×C8—21no—
1384C2×C8—21no—
1385C2×C8—21no—
1386C2×C8—21no—
1387C2×C8—21no—
1388C2×C8—21no—
1389C2×C8—21no—
1390C2×C8—21no—
1391C2×C8—21no—
1392C2×C8—21no—
1393C2×C8—21no—
1394C2×C8—21no—
1395C2×C8—21no—
1396C2×C8—21no—
1397C2×C8—21no—
1398C2×C8—42no—
1399C2×C8—42no—
1400C2×C8—42no—
1401C2×C8—42no—
1402C2×C8—81no—
1403C2×C8—81no—
1404C2×C8C22×D411yescharacteristic
1405C2×C8C22×D411yescharacteristic
1406C2×C8C22×D411yescharacteristic
1407C2×C8C22×D411yescharacteristic
1408C2×C8C22×D411yescharacteristic
1409C2×C8C22×D411yescharacteristic
1410C2×C8C22×D411yescharacteristic
1411C2×C8C22×D411yescharacteristic
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—41no—
1427C4⋊C4—41no—
1428C4⋊C4—41no—
1429C4⋊C4—41no—
1430C4⋊C4—41no—
1431C4⋊C4—41no—
1432C4⋊C4—41no—
1433C4⋊C4—41no—
1434C4⋊C4—41no—
1435C4⋊C4—41no—
1436C4⋊C4—81no—
1437C4⋊C4C22×D411yescharacteristic
1438C4⋊C4C22×D411yescharacteristic
1439C4⋊C4C22×D411yescharacteristic
1440C4⋊C4C22×D411yescharacteristic
1441C4⋊C4C22×D411yescharacteristic
1442C4⋊C4C22×D411yescharacteristic
1443C4⋊C4C22×D411yescharacteristic
1444C4⋊C4C22×D411yescharacteristic
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—41no—
1460C22⋊C4—41no—
1461C22⋊C4—41no—
1462C22⋊C4—41no—
1463C22⋊C4—41no—
1464C22⋊C4—41no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—41no—
1476C22⋊C4—41no—
1477C22⋊C4—41no—
1478C22⋊C4—41no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—81no—
1486C22⋊C4—161no—
1487C22⋊C4—161no—
1488C22⋊C4—161no—
1489C22⋊C4—161no—
1490C22⋊C4—161no—
1491C22⋊C4—161no—
1492C42—21no—
1493C42—21no—
1494C42—21no—
1495C42—21no—
1496C42—21no—
1497C42—21no—
1498C42—21no—
1499C42—21no—
1500C42—21no—
1501C42—21no—
1502C42—41no—
1503C42—41no—
1504C42—41no—
1505C42—41no—
1506C42—41no—
1507C42—41no—
1508C42—41no—
1509C42—41no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—22no—
1517C23—41no—
1518C23—41no—
1519C23—42no—
1520C23—41no—
1521C23—41no—
1522C23—41no—
1523C23—41no—
1524C23—41no—
1525C23—41no—
1526C23—41no—
1527C23—41no—
1528C23—41no—
1529C23—41no—
1530C23—41no—
1531C23—81no—
1532C23—81no—
1533C23—82no—
1534C23—82no—
1535C23—82no—
1536C23—81no—
1537C23—81no—
1538C23—81no—
1539C23—81no—
1540C23—82no—
1541C23—82no—
1542C23—81no—
1543C23—81no—
1544C23—81no—
1545C23—81no—
1546C23—82no—
1547C23—161no—
1548C23—161no—
1549C23—161no—
1550C23—161no—
1551C23—161no—
1552C23—161no—
1553C23—164no—
1554C23—164no—
1555C23D4211yescharacteristic
1556C23D4211yescharacteristic
1557C23C2×H(5,𝔽2)11yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—21no—
1563Q8—21no—
1564Q8—21no—
1565Q8—42no—
1566Q8—161no—
1567Q8#54612yes—
1568D4—22no—
1569D4—22no—
1570D4—22no—
1571D4—21no—
1572D4—21no—
1573D4—22no—
1574D4—21no—
1575D4—21no—
1576D4—21no—
1577D4—21no—
1578D4—21no—
1579D4—42no—
1580D4—42no—
1581D4—42no—
1582D4—42no—
1583D4—42no—
1584D4—41no—
1585D4—41no—
1586D4—41no—
1587D4—41no—
1588D4—41no—
1589D4—41no—
1590D4—41no—
1591D4—41no—
1592D4—41no—
1593D4—41no—
1594D4—41no—
1595D4—41no—
1596D4—41no—
1597D4—41no—
1598D4—41no—
1599D4—41no—
1600D4—41no—
1601D4—41no—
1602D4—41no—
1603D4—41no—
1604D4—82no—
1605D4—82no—
1606D4—82no—
1607D4—81no—
1608D4—81no—
1609D4—82no—
1610D4—82no—
1611D4—82no—
1612D4—82no—
1613D4—82no—
1614D4—161no—
1615D4—161no—
1616D4—161no—
1617D4—161no—
1618D4—161no—
1619D4—161no—
1620D4—161no—
1621D4—161no—
1622D4—161no—
1623D4—161no—
1624D4—161no—
1625D4—164no—
1626D4#54612yes—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—42no—
1652C2×C4—42no—
1653C2×C4—42no—
1654C2×C4—41no—
1655C2×C4—41no—
1656C2×C4—41no—
1657C2×C4—41no—
1658C2×C4—41no—
1659C2×C4—41no—
1660C2×C4—41no—
1661C2×C4—41no—
1662C2×C4—41no—
1663C2×C4—41no—
1664C2×C4—41no—
1665C2×C4—41no—
1666C2×C4—41no—
1667C2×C4—41no—
1668C2×C4—41no—
1669C2×C4—41no—
1670C2×C4—82no—
1671C2×C4—81no—
1672C2×C4—81no—
1673C2×C4—82no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—161no—
1679C2×C4—161no—
1680C2×C4—161no—
1681C2×C4—161no—
1682C2×C4—161no—
1683C2×C4—161no—
1684C2×C4—161no—
1685C2×C4—161no—
1686C2×C4—161no—
1687C2×C4—161no—
1688C2×C4D4211yescharacteristic
1689C2×C4D4211yescharacteristic
1690C2×C4C23×D411yescharacteristic
1691C2×C4C23×D411yescharacteristic
1692C2×C4C22×#4111yescharacteristic
1693C2×C4C2×H(5,𝔽2)11yescharacteristic
1694C2×C4#58511yescharacteristic
1695C2×C4#58511yescharacteristic
1696C8—21no—
1697C8—21no—
1698C8—22no—
1699C8—21no—
1700C8—21no—
1701C8—21no—
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—41no—
1706C8—41no—
1707C8—41no—
1708C8—41no—
1709C8—41no—
1710C8—41no—
1711C8—41no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—22no—
1717C22—21no—
1718C22—21no—
1719C22—21no—
1720C22—21no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—42no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—81no—
1734C22—81no—
1735C22—82no—
1736C22—82no—
1737C22—81no—
1738C22—81no—
1739C22—81no—
1740C22—81no—
1741C22—81no—
1742C22—81no—
1743C22—81no—
1744C22—81no—
1745C22—81no—
1746C22—81no—
1747C22—81no—
1748C22—161no—
1749C22—161no—
1750C22—161no—
1751C22—161no—
1752C22—161no—
1753C22—161no—
1754C22—162no—
1755C22—164no—
1756C22—164no—
1757C22—322no—
1758C22—322no—
1759C22C2×D4211yescharacteristic
1760C22#351311yescharacteristic
1761C22#353411yescharacteristic
1762C4—21no—
1763C4—21no—
1764C4—22no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—41no—
1774C4—41no—
1775C4—41no—
1776C4—81no—
1777C4—81no—
1778C4—81no—
1779C4—81no—
1780C4—81no—
1781C4—81no—
1782C4C2×#54611yescharacteristic
1783C4D4×#4111yescharacteristic
1784C4#348511yescharacteristic
1785C4#348811yescharacteristic
1786C2—21no—
1787C2—21no—
1788C2—41no—
1789C2—41no—
1790C2—42no—
1791C2—81no—
1792C2—81no—
1793C2—81no—
1794C2—82no—
1795C2—161no—
1796C2—161no—
1797C2—161no—
1798C2#5899411yescharacteristic
1799C2#6110611yescharacteristic
1800C2#6110611yescharacteristic
subgroupG/H
center, socleC22C2×D42
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ C23×C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #61183C2semidirect
2. #61072C2semidirect
3. #60587C2semidirect
4. #60523C2semidirect
5. #31186C2semidirect
6. #31048C2semidirect
7. #30765C2semidirect
8. #30696C2semidirect
9. #28319C2semidirect
10. #27286C2semidirect
11. #26996C2semidirect
12. #26648C2semidirect
13. #26402C2semidirect
14. #26272C2semidirect
15. #26195C2semidirect
16. #25528C2semidirect
17. #25269C2semidirect
18. #25269C2semidirect
19. #25180C2semidirect
20. #24929C2semidirect
21. #24799C2semidirect
22. #24520C2semidirect
23. #24468C2semidirect
24. #24456C2semidirect
25. #24398C2semidirect
26. #24022C2semidirect
27. #23046C2semidirect
28. #22951C2semidirect
29. #22887C2semidirect
30. #22463C2semidirect
31. #20945C2semidirect
34. #3494C22semidirect
37. #3428C22semidirect
55. #3136C22semidirect
65. #3099C22semidirect
67. #3098C22semidirect
70. #3096C22semidirect
71. #3096C22semidirect
72. #3096C22semidirect
74. #3094C22semidirect
77. #3093C22semidirect
81. C2×#482C22semidirect
82. C2×#482C22semidirect
83. #3084C22semidirect
84. #3083C22semidirect
85. #3081C22semidirect
87. C2×#472C22semidirect
89. #3058C22semidirect
93. #3045C22semidirect
94. #3045C22semidirect
96. #3041C22semidirect
97. C2×#453C22semidirect
100. #3008C22semidirect
101. #3006C22semidirect
104. C2×#447C22semidirect
105. C2×#444C22semidirect
106. #2952C22semidirect
107. #2951C22semidirect
108. #2948C22semidirect
110. #2946C22semidirect
111. #2946C22semidirect
113. #2933C22semidirect
114. #2924C22semidirect
115. #2913C22semidirect
116. #2912C22semidirect
117. C2×#421C22semidirect
118. #2897C22semidirect
119. #2897C22semidirect
120. #2897C22semidirect
121. C2×#418C22semidirect
122. #2880C22semidirect
123. #2619C22semidirect
124. #2309C22semidirect
125. #2092C22semidirect
126. #2092C22semidirect
127. #2090C22semidirect
128. #2090C22semidirect
129. #2078C22semidirect
130. #2078C22semidirect
131. #2063C22semidirect
132. #2063C22semidirect
133. #2063C22semidirect
134. #2063C22semidirect
135. #2061C22semidirect
136. #2051C22semidirect
137. #2051C22semidirect
138. #2051C22semidirect
139. #2051C22semidirect
140. #2045C22semidirect
141. #2045C22semidirect
142. #2040C22semidirect
143. #2037C22semidirect
144. #2037C22semidirect
145. #2037C22semidirect
146. #2037C22semidirect
147. #2037C22semidirect
148. #2037C22semidirect
149. #2027C22semidirect
150. #2018C22semidirect
151. #2018C22semidirect
152. #2011C22semidirect
153. #2011C22semidirect
154. #2006C22semidirect
155. #2002C22semidirect
156. #2002C22semidirect
157. #1978C22semidirect
158. #1978C22semidirect
159. #1974C22semidirect
160. #1972C22semidirect
161. #1972C22semidirect
162. #1970C22semidirect
163. #1970C22semidirect
164. #1952C22semidirect
165. #1952C22semidirect
166. #1946C22semidirect
167. #1938C22semidirect
168. #1937C22semidirect
169. #1931C22semidirect
170. #1931C22semidirect
171. #1931C22semidirect
172. #1931C22semidirect
173. #1929C22semidirect
174. #1929C22semidirect
175. #1922C22semidirect
176. #1922C22semidirect
178. #1907C22semidirect
179. #1907C22semidirect
180. #1907C22semidirect
181. #1900C22semidirect
182. #1900C22semidirect
184. #1897C22semidirect
185. #1887C22semidirect
188. #1883C22semidirect
189. #1883C22semidirect
190. #1883C22semidirect
191. #1883C22semidirect
192. #1883C22semidirect
193. #1883C22semidirect
194. #1883C22semidirect
195. #1883C22semidirect
196. #1876C22semidirect
197. #1876C22semidirect
198. #1866C22semidirect
199. #1866C22semidirect
200. #1860C22semidirect
201. #1860C22semidirect
202. #1856C22semidirect
203. #1856C22semidirect
204. #1856C22semidirect
205. #1855C22semidirect
206. #1855C22semidirect
207. #1815C22semidirect
208. #1815C22semidirect
209. #1792C22semidirect
210. #1792C22semidirect
211. #1792C22semidirect
212. #1783C22semidirect
213. #1772C22semidirect
214. #1765C22semidirect
215. #1764C22semidirect
216. #1750C22semidirect
217. #1742C22semidirect
218. #1733C22semidirect
331. #485D4semidirect
332. #485D4semidirect
334. #484D4semidirect
336. #483D4semidirect
359. #482D4semidirect
360. #482D4semidirect
366. #481D4semidirect
372. #480D4semidirect
425. #452D4semidirect
426. #452D4semidirect
427. #451D4semidirect
429. #450D4semidirect
437. #449D4semidirect
438. #449D4semidirect
440. #448D4semidirect
455. #447D4semidirect
710. AGL(1,ℤ/8)#41semidirect

Maximal subgroups

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

subgroupindex
#611832
#610722
#605872
#605232
#311862
#310482
#307652
#306962
#283192
#272862
#269962
#266482
#264022
#262722
#261952
#255282
#252692
#251802
#249292
#247992
#245202
#244682
#244562
#243982
#240222
#230462
#229512
#228872
#224632
#209452