Finite Group Databasebeta

← #6574712

Subgroups — #6574712

Order 512.

1857 conjugacy classes of subgroups.

The subgroup lattice has 1589 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#61380C211yesmaximal, characteristic, complemented
2#60499C211yesmaximal, characteristic, complemented
3#60494C211yesmaximal, characteristic, complemented
4#60174C211yesmaximal, characteristic
5#33223C211yesmaximal, characteristic, complemented
6#32973C211yesmaximal, characteristic, complemented
7#32972C211yesmaximal, characteristic, complemented
8#28543C211yesmaximal, characteristic, complemented
9#28298C211yesmaximal, characteristic, complemented
10#26503C211yesmaximal, characteristic, complemented
11#26500C211yesmaximal, characteristic, complemented
12#26407C211yesmaximal, characteristic, complemented
13#26406C211yesmaximal, characteristic, complemented
14#26403C211yesmaximal, characteristic, complemented
15#26400C211yesmaximal, characteristic, complemented
16#26085C211yesmaximal, characteristic, complemented
17#26083C211yesmaximal, characteristic, complemented
18#25987C211yesmaximal, characteristic, complemented
19#25985C211yesmaximal, characteristic, complemented
20#25983C211yesmaximal, characteristic, complemented
21#25982C211yesmaximal, characteristic, complemented
22#24860C211yesmaximal, characteristic, complemented
23#24855C211yesmaximal, characteristic, complemented
24#24324C211yesmaximal, characteristic, complemented
25#24323C211yesmaximal, characteristic, complemented
26#22693C211yesmaximal, characteristic, complemented
27#22692C211yesmaximal, characteristic, complemented
28#22687C211yesmaximal, characteristic, complemented
29#22467C211yesmaximal, characteristic
30#22464C211yesmaximal, characteristic
31#21629C211yesmaximal, characteristic, complemented
32C2×#577C2211yescharacteristic
33#3504C2211yescharacteristic, complemented
34#3503C2211yescharacteristic
35C4×2−1+4C2211yescharacteristic
36C4×H(5,𝔽2)C2211yescharacteristic
37#3390—21no—
38#3389—21no—
39#3388—21no—
40#3388—21no—
41#3387—21no—
42#3386—21no—
43#3385—21no—
44#3384—21no—
45#3164C2211yescharacteristic, complemented
46#3163C2211yescharacteristic, complemented
47C2×#501C2211yescharacteristic, complemented
48#3084—21no—
49#3084C2211yescharacteristic
50#3084C2211yescharacteristic
51#3084C2211yescharacteristic, complemented
52#3083—21no—
53#3083—21no—
54#3083—21no—
55#3083C2211yescharacteristic
56#3083C2211yescharacteristic
57#3083C2211yescharacteristic
58#3083C2211yescharacteristic
59#3083C2211yescharacteristic, complemented
60#3082—21no—
61#3082—21no—
62#3082C2211yescharacteristic, complemented
63#3082C2211yescharacteristic, complemented
64#3081—21no—
65#3081—21no—
66#3081C2211yescharacteristic
67#3081C2211yescharacteristic
68#3080—21no—
69#3080C2211yescharacteristic
70#3080C2211yescharacteristic
71#3079—21no—
72#3079C2211yescharacteristic
73#3079C2211yescharacteristic, complemented
74#3078—21no—
75#3078C2211yescharacteristic, complemented
76#3077—21no—
77#3077C2211yescharacteristic
78#3076—21no—
79#3076—21no—
80#3076C2211yescharacteristic
81C2×#479—21no—
82C2×#479C2211yescharacteristic, complemented
83C2×#474—21no—
84C2×#474C2211yescharacteristic
85#2961C2211yescharacteristic, complemented
86C2×#444C2211yescharacteristic
87C2×#443C2211yescharacteristic
88#2952C2211yescharacteristic
89#2951—21no—
90#2951C2211yescharacteristic
91#2951C2211yescharacteristic
92#2949—21no—
93#2949C2211yescharacteristic
94#2947—21no—
95#2947C2211yescharacteristic
96#2946—21no—
97#2946C2211yescharacteristic
98C4×#137—21no—
99C4×#137C2211yescharacteristic
100C4×AGL(1,ℤ/8)—21no—
101C4×AGL(1,ℤ/8)C2211yescharacteristic
102#2943—21no—
103#2943C2211yescharacteristic
104C2×#440—21no—
105C2×#440C2211yescharacteristic
106#2913C2211yescharacteristic
107#2913C2211yescharacteristic
108#2913C2211yescharacteristic
109#2913C2211yescharacteristic, complemented
110#2912C2211yescharacteristic, complemented
111#2906C2211yescharacteristic
112#2906C2211yescharacteristic, complemented
113#2898C2211yescharacteristic
114#2898C2211yescharacteristic
115#2898C2211yescharacteristic
116#2897C2211yescharacteristic
117#2897C2211yescharacteristic
118#2897C2211yescharacteristic
119#2875C2211yescharacteristic
120#2567C2211yescharacteristic, complemented
121#2566C2211yescharacteristic
122#2097C2211yescharacteristic, complemented
123#2095C2211yescharacteristic, complemented
124#2094C2211yescharacteristic
125#2093C2211yescharacteristic
126#2090C2211yescharacteristic, complemented
127#2089C2211yescharacteristic, complemented
128#2089C2211yescharacteristic, complemented
129#2089C2211yescharacteristic, complemented
130#2064C2211yescharacteristic, complemented
131#2064C2211yescharacteristic, complemented
132#2064C2211yescharacteristic, complemented
133#2064C2211yescharacteristic, complemented
134#2063C2211yescharacteristic
135#2063C2211yescharacteristic
136#2063C2211yescharacteristic
137#2063C2211yescharacteristic
138#2061C2211yescharacteristic, complemented
139#2060C2211yescharacteristic, complemented
140#2060C2211yescharacteristic, complemented
141#2060C2211yescharacteristic, complemented
142#2028C2211yescharacteristic, complemented
143#2028C2211yescharacteristic, complemented
144#2027C2211yescharacteristic
145#2027C2211yescharacteristic
146#1998C2211yescharacteristic, complemented
147#1997C2211yescharacteristic, complemented
148#1986C2211yescharacteristic, complemented
149#1977C2211yescharacteristic
150#1977C2211yescharacteristic
151#1973C2211yescharacteristic
152#1968C2211yescharacteristic
153#1952C2211yescharacteristic, complemented
154#1952C2211yescharacteristic, complemented
155#1952C2211yescharacteristic, complemented
156#1952C2211yescharacteristic, complemented
157#1951C2211yescharacteristic, complemented
158#1951C2211yescharacteristic, complemented
159#1950C2211yescharacteristic, complemented
160#1946C2211yescharacteristic, complemented
161#1945C2211yescharacteristic, complemented
162#1922C2211yescharacteristic, complemented
163#1922C2211yescharacteristic, complemented
164#1908C2211yescharacteristic
165#1908C2211yescharacteristic
166#1907C2211yescharacteristic
167#1907C2211yescharacteristic
168#1883C2211yescharacteristic
169#1883C2211yescharacteristic
170#1882C2211yescharacteristic
171#1882C2211yescharacteristic
172#1866C2211yescharacteristic
173#1866C2211yescharacteristic
174#1866C2211yescharacteristic
175#1866C2211yescharacteristic
176#1866C2211yescharacteristic, complemented
177#1866C2211yescharacteristic, complemented
178#1860C2211yescharacteristic
179#1860C2211yescharacteristic
180#1860C2211yescharacteristic, complemented
181#1859C2211yescharacteristic
182#1859C2211yescharacteristic
183#1859C2211yescharacteristic
184#1859C2211yescharacteristic
185#1859C2211yescharacteristic
186#1859C2211yescharacteristic
187#1859C2211yescharacteristic, complemented
188#1859C2211yescharacteristic, complemented
189#1859C2211yescharacteristic, complemented
190#1857C2211yescharacteristic, complemented
191#1857C2211yescharacteristic, complemented
192#1856C2211yescharacteristic
193#1856C2211yescharacteristic
194#1849C2211yescharacteristic, complemented
195#1847C2211yescharacteristic, complemented
196#1845C2211yescharacteristic, complemented
197#1816C2211yescharacteristic
198#1816C2211yescharacteristic
199#1816C2211yescharacteristic
200#1816C2211yescharacteristic, complemented
201#1816C2211yescharacteristic, complemented
202#1815C2211yescharacteristic
203#1815C2211yescharacteristic
204#1815C2211yescharacteristic
205#1806C2211yescharacteristic
206#1806C2211yescharacteristic
207#1806C2211yescharacteristic, complemented
208#1801C2211yescharacteristic, complemented
209#1800C2211yescharacteristic
210#1793C2211yescharacteristic
211#1793C2211yescharacteristic
212#1792C2211yescharacteristic
213#1792C2211yescharacteristic
214#1773C2211yescharacteristic, complemented
215#1772C2211yescharacteristic, complemented
216#1771C2211yescharacteristic, complemented
217#1765C2211yescharacteristic
218#1764C2211yescharacteristic
219C2×2−1+4C2311yescharacteristic
220C2×H(5,𝔽2)C2311yescharacteristic
221#577—24no—
222#577Q818yescomplemented
223C2×#137—21no—
224C2×#137C2311yescharacteristic
225C2×AGL(1,ℤ/8)—21no—
226C2×AGL(1,ℤ/8)C2311yescharacteristic
227C2×#135—21no—
228C2×#135C2311yescharacteristic
229C22×SD16—21no—
230C22×SD16C2311yescharacteristic
231C2×#131C2311yescharacteristic
232C2×#131C2311yescharacteristic
233C2×#131C2311yescharacteristic
234C2×#131C2311yescharacteristic
235C2×#131C2311yescharacteristic
236C2×#131C2311yescharacteristic
237Q82—21no—
238#557—21no—
239#557—21no—
240#557—21no—
241#554—21no—
242#554—21no—
243#554—21no—
244#554—41no—
245#554—41no—
246#554—41no—
247D4×Q8—21no—
248D4×Q8—41no—
249#544—21no—
250#544—21no—
251#544—21no—
252#544—21no—
253#544C2311yescharacteristic
254#544C2311yescharacteristic
255#544C2311yescharacteristic
256#544C2311yescharacteristic
257#533—21no—
258#533—21no—
259#533C2311yescharacteristic
260C2×C4⋊Q8—21no—
261C2×C4⋊Q8C2311yescharacteristic
262C2×#125—21no—
263C2×#125C2311yescharacteristic
264#520—21no—
265#520—21no—
266#520—21no—
267#520—21no—
268#520—41no—
269#520C2311yescharacteristic
270#520C2311yescharacteristic
271#520C2311yescharacteristic
272#520C2311yescharacteristic
273#520C2311yescharacteristic
274#520C2311yescharacteristic
275#520C2311yescharacteristic
276#520C2311yescharacteristic
277#519—21no—
278#519—21no—
279#519C2311yescharacteristic
280#518—21no—
281#518—21no—
282#518—41no—
283#518C2311yescharacteristic
284C4×#41—21no—
285C4×#41—21no—
286C4×#41—21no—
287C4×#41—21no—
288C4×#41—41no—
289C4×#41C2311yescharacteristic
290C4×#41C2311yescharacteristic
291C4×#41C2311yescharacteristic
292C2×C4×Q8—21no—
293C2×C4×Q8—21no—
294C2×C4×Q8C2311yescharacteristic
295C2×C4×D4—21no—
296C2×C4×D4—21no—
297C2×C4×D4—41no—
298C2×C4×D4C2311yescharacteristic
299#501—21no—
300#501—21no—
301#501—21no—
302#501—21no—
303#501—21no—
304#501—21no—
305#501—21no—
306#501—21no—
307#500—21no—
308#499—21no—
309#499—21no—
310#498—21no—
311#479—21no—
312#479—21no—
313#479—21no—
314#479—21no—
315#479—21no—
316#479—21no—
317#479—21no—
318#479—21no—
319#479—21no—
320#479—21no—
321#479—21no—
322#479—21no—
323#479—21no—
324#479—21no—
325#479—21no—
326#479—21no—
327#479—21no—
328#479—21no—
329#479—21no—
330#479—21no—
331#479—21no—
332#479—21no—
333#479D411yescharacteristic
334#479D411yescharacteristic
335#478—21no—
336#478—21no—
337#478—21no—
338#478—21no—
339#478—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#478—21no—
351#478—21no—
352#478—21no—
353#478D411yescharacteristic
354#478D411yescharacteristic
355#477—21no—
356#477—21no—
357#477—21no—
358#477—21no—
359#477—21no—
360#477—21no—
361#477—21no—
362#477—21no—
363#477—21no—
364#477—21no—
365#477D411yescharacteristic
366#476—21no—
367#476—21no—
368#476—21no—
369#476—21no—
370#476—21no—
371#476—21no—
372#476—21no—
373#476—21no—
374#476D411yescharacteristic
375#475—21no—
376#475—21no—
377#475—21no—
378#475—21no—
379#475—21no—
380#475—21no—
381#475—21no—
382#475—21no—
383#475D411yescharacteristic
384#474—21no—
385#474—21no—
386#474—21no—
387#474—21no—
388#474—21no—
389#474—21no—
390#474—21no—
391#474—21no—
392#474—21no—
393#474—21no—
394#474—21no—
395#474—21no—
396#474—21no—
397#474—21no—
398#474D411yescharacteristic
399#446—21no—
400#446—21no—
401#446—21no—
402#446—21no—
403#444—24no—
404#443—24no—
405#442—21no—
406#442—21no—
407#442—21no—
408#442D411yescharacteristic
409#442D411yescharacteristic
410#441—21no—
411#441—21no—
412#441—21no—
413#441D411yescharacteristic
414#441D411yescharacteristic
415#440—21no—
416#440—21no—
417#440—21no—
418#440—21no—
419#440—21no—
420#440—21no—
421#440—21no—
422#440—21no—
423#440—21no—
424#440—21no—
425#440—21no—
426#440—21no—
427#440—21no—
428#440—21no—
429#440D411yescharacteristic
430#440D411yescharacteristic
431#440D411yescharacteristic
432#440D411yescharacteristic
433C4×Q16—21no—
434C4×Q16—21no—
435C4×Q16—21no—
436C4×Q16—21no—
437C4×SD16—21no—
438C4×SD16—21no—
439C4×SD16—21no—
440C4×SD16—21no—
441C4×SD16—21no—
442C4×SD16—21no—
443C4×SD16—21no—
444C4×SD16—21no—
445C4×D8—21no—
446C4×D8—21no—
447C4×D8—21no—
448C4×D8—21no—
449C2×#108C2311yescharacteristic
450C2×#108C2311yescharacteristic
451C2×#108C2311yescharacteristic
452C2×#108C2311yescharacteristic
453C2×#108C2311yescharacteristic
454C2×#108C2311yescharacteristic
455#428—21no—
456#428—21no—
457#428—21no—
458#428—21no—
459#428—21no—
460#428—21no—
461#428—21no—
462#428—21no—
463#428—21no—
464#428—21no—
465#428C2311yescharacteristic
466#428C2311yescharacteristic
467#428C2311yescharacteristic
468#428C2311yescharacteristic
469#428C2311yescharacteristic
470#428C2311yescharacteristic
471#428C2311yescharacteristic
472#428C2311yescharacteristic
473#428C2311yescharacteristic
474#428C2311yescharacteristic
475#428C2311yescharacteristic
476#428C2311yescharacteristic
477#428C2311yescharacteristic
478#428C2311yescharacteristic
479#427—21no—
480#427—21no—
481#427—21no—
482#427—21no—
483#427—21no—
484#427C2311yescharacteristic
485#427C2311yescharacteristic
486#427C2311yescharacteristic
487C2×#107—21no—
488C2×#107—21no—
489C2×#107—21no—
490C2×#107—21no—
491C2×#107C2311yescharacteristic
492C2×#107C2311yescharacteristic
493C2×#107C2311yescharacteristic
494C2×#107C2311yescharacteristic
495C2×#107C2311yescharacteristic
496C2×#107C2311yescharacteristic
497C2×#106—21no—
498C2×#106C2311yescharacteristic
499C2×#106C2311yescharacteristic
500C2×#106C2311yescharacteristic
501#424—21no—
502#424—21no—
503#424—21no—
504#424—21no—
505#424C2311yescharacteristic
506#424C2311yescharacteristic
507#424C2311yescharacteristic
508#424C2311yescharacteristic
509#424C2311yescharacteristic
510#424C2311yescharacteristic
511#423—21no—
512#423—21no—
513#423C2311yescharacteristic
514#423C2311yescharacteristic
515#423C2311yescharacteristic
516C2×C4⋊C8—21no—
517C2×C4⋊C8—21no—
518C2×C4⋊C8C2311yescharacteristic
519C2×#104C2311yescharacteristic
520C2×#104C2311yescharacteristic
521C2×#104C2311yescharacteristic
522C2×#104C2311yescharacteristic
523C2×#104C2311yescharacteristic
524C2×#104C2311yescharacteristic
525#419—21no—
526#419—21no—
527#419—21no—
528#419C2311yescharacteristic
529#419C2311yescharacteristic
530#419C2311yescharacteristic
531#418—21no—
532#418—21no—
533#418—21no—
534#418C2311yescharacteristic
535#418C2311yescharacteristic
536#418C2311yescharacteristic
537#417—21no—
538#417—21no—
539#417—21no—
540#417—21no—
541#417—21no—
542#417—21no—
543#417C2311yescharacteristic
544#417C2311yescharacteristic
545#417C2311yescharacteristic
546#417C2311yescharacteristic
547#417C2311yescharacteristic
548#417C2311yescharacteristic
549#417C2311yescharacteristic
550#417C2311yescharacteristic
551#417C2311yescharacteristic
552#417C2311yescharacteristic
553#416—21no—
554#416—21no—
555#416—21no—
556#416—21no—
557#416—21no—
558#416—21no—
559#416C2311yescharacteristic
560#416C2311yescharacteristic
561#416C2311yescharacteristic
562#416C2311yescharacteristic
563C2×#103—21no—
564C2×#103—21no—
565C2×#103—21no—
566C2×#103C2311yescharacteristic
567C2×#103C2311yescharacteristic
568C2×#103C2311yescharacteristic
569C2×#102—21no—
570C2×#102—21no—
571C2×#102—21no—
572C2×#102C2311yescharacteristic
573C2×#102C2311yescharacteristic
574C2×#102C2311yescharacteristic
575C2×#101C2311yescharacteristic
576C2×#101C2311yescharacteristic
577C2×#100C2311yescharacteristic
578C2×#100C2311yescharacteristic
579#405—21no—
580#405—21no—
581#405C2311yescharacteristic
582#405C2311yescharacteristic
583#405C2311yescharacteristic
584#405C2311yescharacteristic
585C4×M16—21no—
586C4×M16C2311yescharacteristic
587C2×#97—21no—
588C2×#97C2311yescharacteristic
589C2×#97C2311yescharacteristic
590C2×C4×C8C2311yescharacteristic
591#396—41no—
592#395—41no—
593#391C2311yescharacteristic
594#391C2311yescharacteristic
595#390C2311yescharacteristic
596#390C2311yescharacteristic
597#389—41no—
598#385—41no—
599#384C2311yescharacteristic
600#384C2311yescharacteristic
601#384C2311yescharacteristic
602#382C2311yescharacteristic
603C4×C4⋊C4C2311yescharacteristic
604#343C2311yescharacteristic
605#343C2311yescharacteristic
606#343C2311yescharacteristic
607#343C2311yescharacteristic
608#343C2311yescharacteristic
609#343C2311yescharacteristic
610#343C2311yescharacteristic
611#343C2311yescharacteristic
612#343C2311yescharacteristic
613#343C2311yescharacteristic
614#343C2311yescharacteristic
615#343C2311yescharacteristic
616#341C2311yescharacteristic
617#341C2311yescharacteristic
618#339C2311yescharacteristic
619#339C2311yescharacteristic
620#339C2311yescharacteristic
621#339C2311yescharacteristic
622#339C2311yescharacteristic
623#339C2311yescharacteristic
624#339C2311yescharacteristic
625#339C2311yescharacteristic
626#339C2311yescharacteristic
627#339C2311yescharacteristic
628#336C2311yescharacteristic
629#336C2311yescharacteristic
6302−1+4—22no—
6312−1+4—22no—
6322−1+4—41no—
6332−1+4C2×Q814yescomplemented
634H(5,𝔽2)—22no—
635H(5,𝔽2)—22no—
636H(5,𝔽2)—41no—
637H(5,𝔽2)C2×Q814yes—
638C2×#41—21no—
639C2×#41—21no—
640C2×#41—21no—
641C2×#41—21no—
642C2×#41—41no—
643C2×#41C2411yescharacteristic
644C2×#41C2411yescharacteristic
645C2×#41C2411yescharacteristic
646C22×Q8—21no—
647C22×Q8—21no—
648C22×Q8—21no—
649C22×Q8—41no—
650C22×Q8C2411yescharacteristic
651C22×D4—21no—
652C22×D4—21no—
653C22×D4—41no—
654C22×D4C2411yescharacteristic
655C23×C4—21no—
656C23×C4—41no—
657#137—22no—
658#137—28no—
659#137C2×Q814yes—
660AGL(1,ℤ/8)—22no—
661AGL(1,ℤ/8)—28no—
662AGL(1,ℤ/8)C2×Q814yescomplemented
663#135—28no—
664#135C2×Q814yes—
665#135#4114yes—
666C2×Q16—21no—
667C2×Q16C2×D411yescharacteristic
668C2×SD16—21no—
669C2×SD16—21no—
670C2×SD16—28no—
671C2×SD16—21no—
672C2×SD16—21no—
673C2×SD16—22no—
674C2×SD16C2×D411yescharacteristic
675C2×SD16C2×D411yescharacteristic
676C2×SD16C2×Q814yescomplemented
677C2×D8—21no—
678C2×D8C2×D411yescharacteristic
679#131—22no—
680#131—22no—
681#131—22no—
682#131—22no—
683#131—22no—
684#131—22no—
685#131—41no—
686#131—41no—
687#131—41no—
688#131—41no—
689#131—41no—
690#131C2×Q814yescomplemented
691C2×M16—21no—
692C2×M16—21no—
693C2×M16—21no—
694C2×M16—21no—
695C2×M16—21no—
696C2×M16—21no—
697C2×M16C2411yescharacteristic
698C2×M16C2411yescharacteristic
699C2×M16C2411yescharacteristic
700C2×M16C2411yescharacteristic
701C2×M16C2411yescharacteristic
702C2×M16C2411yescharacteristic
703C2×M16C2411yescharacteristic
704C2×M16C2411yescharacteristic
705C22×C8—21no—
706C22×C8—21no—
707C22×C8—21no—
708C22×C8—21no—
709C22×C8—21no—
710C22×C8—21no—
711C22×C8C2411yescharacteristic
712C22×C8C2411yescharacteristic
713C22×C8C2411yescharacteristic
714C22×C8C2411yescharacteristic
715C4⋊Q8—21no—
716C4⋊Q8—21no—
717C4⋊Q8—21no—
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—41no—
728C4⋊Q8—41no—
729C4⋊Q8—41no—
730C4⋊Q8—41no—
731C4⋊Q8—41no—
732C4⋊Q8—41no—
733C4⋊Q8C2×D411yescharacteristic
734C4⋊Q8C2×D411yescharacteristic
735#125—21no—
736#125—21no—
737#125—21no—
738#125—21no—
739#125—21no—
740#125—21no—
741#125—21no—
742#125—21no—
743#125—21no—
744#125—21no—
745#125—21no—
746#125—21no—
747#125—41no—
748#125—41no—
749#125—41no—
750#125—41no—
751#125—41no—
752#125—41no—
753#125C2×D411yescharacteristic
754#125C2×D411yescharacteristic
755C22⋊Q8—21no—
756C22⋊Q8—21no—
757C22⋊Q8—41no—
758C22⋊Q8—41no—
759C22⋊Q8—41no—
760C22⋊Q8—41no—
761C22⋊Q8—41no—
762C22⋊Q8—41no—
763C22⋊Q8—41no—
764C22⋊Q8—41no—
765C22⋊Q8—41no—
766C22⋊Q8—41no—
767C22⋊Q8—41no—
768C22⋊Q8—41no—
769C22⋊Q8—41no—
770C22⋊Q8—41no—
771C22⋊Q8—41no—
772C22⋊Q8—41no—
773C4×Q8—21no—
774C4×Q8—21no—
775C4×Q8—21no—
776C4×Q8—21no—
777C4×Q8—21no—
778C4×Q8—21no—
779C4×Q8—21no—
780C4×Q8—21no—
781C4×Q8—21no—
782C4×Q8—21no—
783C4×Q8—21no—
784C4×Q8—21no—
785C4×Q8—21no—
786C4×Q8—21no—
787C4×Q8—21no—
788C4×Q8—21no—
789C4×Q8—21no—
790C4×Q8—21no—
791C4×Q8—41no—
792C4×Q8—41no—
793C4×Q8—41no—
794C4×Q8—41no—
795C4×Q8—41no—
796C4×Q8—41no—
797C4×Q8—41no—
798C4×Q8—41no—
799C4×Q8C2×D411yescharacteristic
800C4×Q8C2×D411yescharacteristic
801C4×Q8C2×D411yescharacteristic
802C4×Q8C2×D411yescharacteristic
803C4×Q8C2×D411yescharacteristic
804C4×Q8C2×D411yescharacteristic
805C4×D4—21no—
806C4×D4—21no—
807C4×D4—21no—
808C4×D4—21no—
809C4×D4—21no—
810C4×D4—21no—
811C4×D4—21no—
812C4×D4—21no—
813C4×D4—21no—
814C4×D4—21no—
815C4×D4—21no—
816C4×D4—21no—
817C4×D4—21no—
818C4×D4—21no—
819C4×D4—21no—
820C4×D4—21no—
821C4×D4—21no—
822C4×D4—21no—
823C4×D4—21no—
824C4×D4—21no—
825C4×D4—21no—
826C4×D4—21no—
827C4×D4—41no—
828C4×D4—41no—
829C4×D4—41no—
830C4×D4—41no—
831C4×D4—41no—
832C4×D4—41no—
833C4×D4—41no—
834C4×D4—41no—
835C4×D4—41no—
836C4×D4—41no—
837C4×D4—41no—
838C4×D4—41no—
839C4×D4—41no—
840C4×D4—41no—
841C4×D4—41no—
842C4×D4—41no—
843C4×D4—41no—
844C4×D4—41no—
845C4×D4—41no—
846C4×D4—41no—
847C4×D4C2×D411yescharacteristic
848C4×D4C2×D411yescharacteristic
849C4×D4C2×D411yescharacteristic
850C4×D4C2×D411yescharacteristic
851C4×D4C2×D411yescharacteristic
852C4×D4C2×D411yescharacteristic
853#117—21no—
854#117—21no—
855#117—21no—
856#117—21no—
857#117—21no—
858#117—21no—
859#117—21no—
860#117—21no—
861#117—21no—
862#117—21no—
863#117—21no—
864#117—41no—
865#117—41no—
866#117—41no—
867#117—41no—
868#117—41no—
869#117—41no—
870#117—41no—
871#117C2411yescharacteristic
872#117C2411yescharacteristic
873#117C2411yescharacteristic
874#117C2411yescharacteristic
875#117C2411yescharacteristic
876C2×C4⋊C4—21no—
877C2×C4⋊C4—21no—
878C2×C4⋊C4—21no—
879C2×C4⋊C4—21no—
880C2×C4⋊C4—21no—
881C2×C4⋊C4—21no—
882C2×C4⋊C4—21no—
883C2×C4⋊C4—21no—
884C2×C4⋊C4—21no—
885C2×C4⋊C4—21no—
886C2×C4⋊C4—21no—
887C2×C4⋊C4—21no—
888C2×C4⋊C4—21no—
889C2×C4⋊C4—41no—
890C2×C4⋊C4—41no—
891C2×C4⋊C4—41no—
892C2×C4⋊C4—41no—
893C2×C4⋊C4—41no—
894C2×C4⋊C4—41no—
895C2×C4⋊C4—41no—
896C2×C4⋊C4—41no—
897C2×C4⋊C4—41no—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C22⋊C4—21no—
905C2×C22⋊C4—41no—
906C2×C22⋊C4—41no—
907C2×C22⋊C4—41no—
908C2×C22⋊C4—41no—
909C2×C22⋊C4—41no—
910C2×C22⋊C4—41no—
911C2×C42—21no—
912C2×C42—21no—
913C2×C42—21no—
914C2×C42—21no—
915C2×C42—41no—
916C2×C42—41no—
917C2×C42—41no—
918C2×C42C2411yescharacteristic
919C2×C42C2411yescharacteristic
920C2×C42C2411yescharacteristic
921#108—22no—
922#108—22no—
923#108—41no—
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#107—21no—
940#107—21no—
941#107—21no—
942#107—21no—
943#107—21no—
944#107—21no—
945#107—21no—
946#107—21no—
947#107—21no—
948#107—21no—
949#107—21no—
950#107—21no—
951#107—21no—
952#107—21no—
953#107C2×D411yescharacteristic
954#107C2×D411yescharacteristic
955#107C2×D411yescharacteristic
956#107C2×D411yescharacteristic
957#107C2×D411yescharacteristic
958#107C2×D411yescharacteristic
959#106—21no—
960#106—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—
975#106—21no—
976#106—21no—
977#106—21no—
978#106—21no—
979#106C2×D411yescharacteristic
980#106C2×D411yescharacteristic
981#106C2×D411yescharacteristic
982#106C2×D411yescharacteristic
983#106C2×D411yescharacteristic
984#106C2×D411yescharacteristic
985C4⋊C8—21no—
986C4⋊C8—21no—
987C4⋊C8—21no—
988C4⋊C8—21no—
989C4⋊C8—21no—
990C4⋊C8—21no—
991C4⋊C8—21no—
992C4⋊C8—21no—
993C4⋊C8—21no—
994C4⋊C8—21no—
995C4⋊C8—21no—
996C4⋊C8—21no—
997C4⋊C8—21no—
998C4⋊C8—21no—
999C4⋊C8—21no—
1000C4⋊C8—21no—
1001C4⋊C8—21no—
1002C4⋊C8—21no—
1003C4⋊C8C2×D411yescharacteristic
1004C4⋊C8C2×D411yescharacteristic
1005C4⋊C8C2×D411yescharacteristic
1006C4⋊C8C2×D411yescharacteristic
1007#104—22no—
1008#104—22no—
1009#104—22no—
1010#104—22no—
1011#104—22no—
1012#104—22no—
1013#103—21no—
1014#103—21no—
1015#103—21no—
1016#103—21no—
1017#103—21no—
1018#103—21no—
1019#103—21no—
1020#103—21no—
1021#103—21no—
1022#103—21no—
1023#103—21no—
1024#103—21no—
1025#103—21no—
1026#103—21no—
1027#103—21no—
1028#103—21no—
1029#103—21no—
1030#103—21no—
1031#103—21no—
1032#103—21no—
1033#103—21no—
1034#103—21no—
1035#103C2×D411yescharacteristic
1036#103C2×D411yescharacteristic
1037#103C2×D411yescharacteristic
1038#103C2×D411yescharacteristic
1039#103C2×D411yescharacteristic
1040#103C2×D411yescharacteristic
1041#103C2×D411yescharacteristic
1042#103C2×D411yescharacteristic
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#102—21no—
1064#102—21no—
1065#102C2×D411yescharacteristic
1066#102C2×D411yescharacteristic
1067#102C2×D411yescharacteristic
1068#102C2×D411yescharacteristic
1069#102C2×D411yescharacteristic
1070#102C2×D411yescharacteristic
1071#102C2×D411yescharacteristic
1072#102C2×D411yescharacteristic
1073#101—41no—
1074#101—41no—
1075#100—41no—
1076#100—41no—
1077#97—21no—
1078#97—21no—
1079#97—21no—
1080#97—21no—
1081#97—22no—
1082#97—21no—
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—22no—
1092C4×C8—21no—
1093#95—21no—
1094#95—41no—
1095#95—41no—
1096#95—41no—
1097C24—21no—
1098C24—41no—
1099#41—21no—
1100#41—21no—
1101#41—21no—
1102#41—21no—
1103#41—21no—
1104#41—21no—
1105#41—24no—
1106#41—24no—
1107#41—24no—
1108#41—24no—
1109#41—44no—
1110#41—42no—
1111#41—42no—
1112#41—42no—
1113#41—42no—
1114#41—44no—
1115#41C22×Q812yes—
1116#41C22×Q812yes—
1117#41C22×Q812yes—
1118#41C2×#4112yes—
1119#41C2×#4112yes—
1120#412−1+412yes—
1121C2×Q8—21no—
1122C2×Q8—21no—
1123C2×Q8—21no—
1124C2×Q8—24no—
1125C2×Q8—24no—
1126C2×Q8—21no—
1127C2×Q8—21no—
1128C2×Q8—21no—
1129C2×Q8—21no—
1130C2×Q8—41no—
1131C2×Q8—41no—
1132C2×Q8—41no—
1133C2×Q8—41no—
1134C2×Q8—41no—
1135C2×Q8—42no—
1136C2×Q8—42no—
1137C2×Q8—41no—
1138C2×Q8—41no—
1139C2×Q8—161no—
1140C2×Q8—162no—
1141C2×Q8C22×D411yescharacteristic
1142C2×Q8C22×D411yescharacteristic
1143C2×Q8C22×D411yescharacteristic
1144C2×Q8C22×Q812yes—
1145C2×D4—21no—
1146C2×D4—21no—
1147C2×D4—21no—
1148C2×D4—24no—
1149C2×D4—24no—
1150C2×D4—21no—
1151C2×D4—21no—
1152C2×D4—21no—
1153C2×D4—21no—
1154C2×D4—21no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—41no—
1158C2×D4—41no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—41no—
1162C2×D4C22×D411yescharacteristic
1163C2×D4C22×D411yescharacteristic
1164C2×D4C22×D411yescharacteristic
1165C2×D4C22×Q812yes—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—161no—
1200C22×C4—162no—
1201C22×C4H(5,𝔽2)11yescharacteristic
1202C22×C4H(5,𝔽2)11yescharacteristic
1203C22×C4C2511yescharacteristic
1204Q16—24no—
1205Q16C22⋊Q814yes—
1206SD16—24no—
1207SD16—24no—
1208SD16—24no—
1209SD16—24no—
1210SD16C22⋊Q814yes—
1211SD16C22⋊Q814yes—
1212D8—24no—
1213D8C22⋊Q814yes—
1214M16—21no—
1215M16—24no—
1216M16—21no—
1217M16—21no—
1218M16—21no—
1219M16—21no—
1220M16—21no—
1221M16—21no—
1222M16—21no—
1223M16—21no—
1224M16—21no—
1225M16—21no—
1226M16—21no—
1227M16—21no—
1228M16—21no—
1229M16—21no—
1230M16—42no—
1231M16—42no—
1232M16—42no—
1233M16—42no—
1234M16—42no—
1235M16C22×Q812yes—
1236C2×C8—21no—
1237C2×C8—21no—
1238C2×C8—21no—
1239C2×C8—21no—
1240C2×C8—21no—
1241C2×C8—21no—
1242C2×C8—21no—
1243C2×C8—24no—
1244C2×C8—21no—
1245C2×C8—21no—
1246C2×C8—21no—
1247C2×C8—21no—
1248C2×C8—21no—
1249C2×C8—21no—
1250C2×C8—21no—
1251C2×C8—42no—
1252C2×C8—42no—
1253C2×C8—42no—
1254C2×C8—42no—
1255C2×C8—42no—
1256C2×C8C22×D411yescharacteristic
1257C2×C8C22×D411yescharacteristic
1258C2×C8C22×D411yescharacteristic
1259C2×C8C22×D411yescharacteristic
1260C2×C8C22×D411yescharacteristic
1261C2×C8C22×D411yescharacteristic
1262C2×C8C22×D411yescharacteristic
1263C2×C8C22×D411yescharacteristic
1264C2×C8C22×Q812yes—
1265C2×C8C2×#4112yes—
1266C4⋊C4—21no—
1267C4⋊C4—21no—
1268C4⋊C4—21no—
1269C4⋊C4—21no—
1270C4⋊C4—21no—
1271C4⋊C4—21no—
1272C4⋊C4—21no—
1273C4⋊C4—21no—
1274C4⋊C4—21no—
1275C4⋊C4—21no—
1276C4⋊C4—21no—
1277C4⋊C4—21no—
1278C4⋊C4—21no—
1279C4⋊C4—21no—
1280C4⋊C4—21no—
1281C4⋊C4—21no—
1282C4⋊C4—21no—
1283C4⋊C4—21no—
1284C4⋊C4—21no—
1285C4⋊C4—21no—
1286C4⋊C4—21no—
1287C4⋊C4—21no—
1288C4⋊C4—21no—
1289C4⋊C4—21no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—42no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—161no—
1322C4⋊C4—161no—
1323C4⋊C4—161no—
1324C4⋊C4C22×D411yescharacteristic
1325C4⋊C4C22×D411yescharacteristic
1326C4⋊C4C22×D411yescharacteristic
1327C4⋊C4C22×D411yescharacteristic
1328C4⋊C4C22×D411yescharacteristic
1329C4⋊C4C22×D411yescharacteristic
1330C4⋊C4C22×D411yescharacteristic
1331C4⋊C4C22×D411yescharacteristic
1332C4⋊C4C22×D411yescharacteristic
1333C4⋊C4C22×D411yescharacteristic
1334C22⋊C4—21no—
1335C22⋊C4—21no—
1336C22⋊C4—21no—
1337C22⋊C4—21no—
1338C22⋊C4—21no—
1339C22⋊C4—21no—
1340C22⋊C4—21no—
1341C22⋊C4—21no—
1342C22⋊C4—21no—
1343C22⋊C4—21no—
1344C22⋊C4—21no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—82no—
1358C22⋊C4—161no—
1359C42—21no—
1360C42—21no—
1361C42—21no—
1362C42—21no—
1363C42—21no—
1364C42—21no—
1365C42—21no—
1366C42—21no—
1367C42—21no—
1368C42—21no—
1369C42—21no—
1370C42—21no—
1371C42—21no—
1372C42—21no—
1373C42—21no—
1374C42—41no—
1375C42—41no—
1376C42—41no—
1377C42—41no—
1378C42—41no—
1379C42—41no—
1380C42—41no—
1381C42—41no—
1382C42—41no—
1383C42—41no—
1384C42—41no—
1385C42—41no—
1386C42C22×D411yescharacteristic
1387C42C22×D411yescharacteristic
1388C42C22×D411yescharacteristic
1389C42C22×D411yescharacteristic
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—22no—
1394C23—44no—
1395C23—41no—
1396C23—41no—
1397C23—81no—
1398C23—81no—
1399C23—161no—
1400C23—161no—
1401C23C2×H(5,𝔽2)11yescharacteristic
1402Q8—21no—
1403Q8—21no—
1404Q8—21no—
1405Q8—22no—
1406Q8—22no—
1407Q8—44no—
1408Q8—41no—
1409Q8—41no—
1410Q8—81no—
1411Q8—81no—
1412Q8—82no—
1413Q8—161no—
1414Q8—161no—
1415Q8—161no—
1416Q8—161no—
1417Q8—161no—
1418Q8C2×C22⋊Q812yes—
1419Q8C2×C22⋊Q812yes—
1420Q8D4×Q812yes—
1421D4—22no—
1422D4—22no—
1423D4—22no—
1424D4—22no—
1425D4—22no—
1426D4—22no—
1427D4—22no—
1428D4—22no—
1429D4—21no—
1430D4—21no—
1431D4—21no—
1432D4—44no—
1433D4—44no—
1434D4—44no—
1435D4—41no—
1436D4—41no—
1437D4C2×C22⋊Q812yes—
1438D4C2×C22⋊Q812yes—
1439D4D4×Q812yes—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—44no—
1464C2×C4—44no—
1465C2×C4—44no—
1466C2×C4—42no—
1467C2×C4—41no—
1468C2×C4—41no—
1469C2×C4—41no—
1470C2×C4—41no—
1471C2×C4—41no—
1472C2×C4—41no—
1473C2×C4—41no—
1474C2×C4—41no—
1475C2×C4—41no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—41no—
1479C2×C4—41no—
1480C2×C4—81no—
1481C2×C4—81no—
1482C2×C4—81no—
1483C2×C4—81no—
1484C2×C4—81no—
1485C2×C4—82no—
1486C2×C4—81no—
1487C2×C4—81no—
1488C2×C4—81no—
1489C2×C4—81no—
1490C2×C4—81no—
1491C2×C4—81no—
1492C2×C4—161no—
1493C2×C4—161no—
1494C2×C4—161no—
1495C2×C4—161no—
1496C2×C4—161no—
1497C2×C4—161no—
1498C2×C4—161no—
1499C2×C4—161no—
1500C2×C4—161no—
1501C2×C4—161no—
1502C2×C4—161no—
1503C2×C4D4211yescharacteristic
1504C2×C4D4211yescharacteristic
1505C2×C4D4211yescharacteristic
1506C2×C4D4211yescharacteristic
1507C2×C4C23×D411yescharacteristic
1508C2×C4C23×D411yescharacteristic
1509C2×C4C23×Q811yescharacteristic
1510C2×C4C22×#4111yescharacteristic
1511C2×C4C2×2−1+411yescharacteristic
1512C2×C4#58511yescharacteristic
1513C8—22no—
1514C8—21no—
1515C8—21no—
1516C8—21no—
1517C8—21no—
1518C8—21no—
1519C8—21no—
1520C8—41no—
1521C8—41no—
1522C8—41no—
1523C8—41no—
1524C8—41no—
1525C8—41no—
1526C8—41no—
1527C8C2×C22⋊Q812yes—
1528C8C2×C22⋊Q812yes—
1529C22—21no—
1530C22—21no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—42no—
1541C22—82no—
1542C22—81no—
1543C22—81no—
1544C22—161no—
1545C22—164no—
1546C22C2×D4211yescharacteristic
1547C22#350111yescharacteristic
1548C22#352011yescharacteristic
1549C4—21no—
1550C4—21no—
1551C4—21no—
1552C4—21no—
1553C4—22no—
1554C4—22no—
1555C4—22no—
1556C4—42no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—42no—
1568C4—81no—
1569C4—81no—
1570C4—81no—
1571C4—81no—
1572C4—81no—
1573C4—81no—
1574C4—81no—
1575C4C22×C22⋊Q811yescharacteristic
1576C4C2×D4×Q811yescharacteristic
1577C4D4×#4111yescharacteristic
1578C4#348911yescharacteristic
1579C2—21no—
1580C2—21no—
1581C2—42no—
1582C2—42no—
1583C2—42no—
1584C2—82no—
1585C2D4×C22⋊Q811yescharacteristic
1586C2#6110611yescharacteristic
1587C2#6111111yescharacteristic
subgroupG/H
center, socleC22C2×D42
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#577C22
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. #61380C2semidirect
2. #60499C2semidirect
3. #60494C2semidirect
5. #33223C2semidirect
6. #32973C2semidirect
7. #32972C2semidirect
8. #28543C2semidirect
9. #28298C2semidirect
10. #26503C2semidirect
11. #26500C2semidirect
12. #26407C2semidirect
13. #26406C2semidirect
14. #26403C2semidirect
15. #26400C2semidirect
16. #26085C2semidirect
17. #26083C2semidirect
18. #25987C2semidirect
19. #25985C2semidirect
20. #25983C2semidirect
21. #25982C2semidirect
22. #24860C2semidirect
23. #24855C2semidirect
24. #24324C2semidirect
25. #24323C2semidirect
26. #22693C2semidirect
27. #22692C2semidirect
28. #22687C2semidirect
31. #21629C2semidirect
33. #3504C22semidirect
45. #3164C22semidirect
46. #3163C22semidirect
47. C2×#501C22semidirect
51. #3084C22semidirect
59. #3083C22semidirect
62. #3082C22semidirect
63. #3082C22semidirect
73. #3079C22semidirect
75. #3078C22semidirect
82. C2×#479C22semidirect
85. #2961C22semidirect
109. #2913C22semidirect
110. #2912C22semidirect
112. #2906C22semidirect
120. #2567C22semidirect
122. #2097C22semidirect
123. #2095C22semidirect
126. #2090C22semidirect
127. #2089C22semidirect
128. #2089C22semidirect
129. #2089C22semidirect
130. #2064C22semidirect
131. #2064C22semidirect
132. #2064C22semidirect
133. #2064C22semidirect
138. #2061C22semidirect
139. #2060C22semidirect
140. #2060C22semidirect
141. #2060C22semidirect
142. #2028C22semidirect
143. #2028C22semidirect
146. #1998C22semidirect
147. #1997C22semidirect
148. #1986C22semidirect
153. #1952C22semidirect
154. #1952C22semidirect
155. #1952C22semidirect
156. #1952C22semidirect
157. #1951C22semidirect
158. #1951C22semidirect
159. #1950C22semidirect
160. #1946C22semidirect
161. #1945C22semidirect
162. #1922C22semidirect
163. #1922C22semidirect
176. #1866C22semidirect
177. #1866C22semidirect
180. #1860C22semidirect
187. #1859C22semidirect
188. #1859C22semidirect
189. #1859C22semidirect
190. #1857C22semidirect
191. #1857C22semidirect
194. #1849C22semidirect
195. #1847C22semidirect
196. #1845C22semidirect
200. #1816C22semidirect
201. #1816C22semidirect
207. #1806C22semidirect
208. #1801C22semidirect
214. #1773C22semidirect
215. #1772C22semidirect
216. #1771C22semidirect
222. #577Q8semidirect
633. 2−1+4C2×Q8semidirect
662. AGL(1,ℤ/8)C2×Q8semidirect
676. C2×SD16C2×Q8semidirect
690. #131C2×Q8semidirect

Maximal subgroups

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

subgroupindex
#613802
#604992
#604942
#601742
#332232
#329732
#329722
#285432
#282982
#265032
#265002
#264072
#264062
#264032
#264002
#260852
#260832
#259872
#259852
#259832
#259822
#248602
#248552
#243242
#243232
#226932
#226922
#226872
#224672
#224642
#216292