Finite Group Databasebeta

← #6356927

Subgroups — #6356927

Order 512.

1656 conjugacy classes of subgroups.

The subgroup lattice has 1578 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62423C211yesmaximal, characteristic, complemented
2#61983C211yesmaximal, characteristic, complemented
3#61981C211yesmaximal, characteristic, complemented
4#60342C211yesmaximal, characteristic, complemented
5#19582C211yesmaximal, characteristic, complemented
6#19581C211yesmaximal, characteristic, complemented
7#19540C211yesmaximal, characteristic, complemented
8#19538C211yesmaximal, characteristic, complemented
9#19525C211yesmaximal, characteristic, complemented
10#19522C211yesmaximal, characteristic, complemented
11#19470C211yesmaximal, characteristic, complemented
12#19468C211yesmaximal, characteristic, complemented
13#19448C211yesmaximal, characteristic, complemented
14#19446C211yesmaximal, characteristic, complemented
15#19437C211yesmaximal, characteristic, complemented
16#19434C211yesmaximal, characteristic, complemented
17#19376C211yesmaximal, characteristic, complemented
18#19374C211yesmaximal, characteristic, complemented
19#19353C211yesmaximal, characteristic, complemented
20#19312C211yesmaximal, characteristic, complemented
21#19310C211yesmaximal, characteristic, complemented
22#19288C211yesmaximal, characteristic, complemented
23#19248C211yesmaximal, characteristic, complemented
24#19238C211yesmaximal, characteristic, complemented
25#19221C211yesmaximal, characteristic, complemented
26#19180C211yesmaximal, characteristic, complemented
27#19170C211yesmaximal, characteristic, complemented
28C2×#1688C211yesmaximal, characteristic, complemented
29#17838C211yesmaximal, characteristic, complemented
30#17771C211yesmaximal, characteristic, complemented
31#17770C211yesmaximal, characteristic, complemented
32#3508C2211yescharacteristic
33#3498C2211yescharacteristic
34#3482C2211yescharacteristic
35#3401—21no—
36#3399—21no—
37#3399—21no—
38#3397—21no—
39#3371—21no—
40#3368—21no—
41#3317—21no—
42#3310—21no—
43#3310—21no—
44#3306—21no—
45#3296—21no—
46#3294—21no—
47#3282—21no—
48D4×SD16—21no—
49#3274—21no—
50#3274—21no—
51#3271—21no—
52#3266—21no—
53#3265—21no—
54#3265—21no—
55#3264—21no—
56#3264—21no—
57#3264—21no—
58#3264—21no—
59#3254C2211yescharacteristic, complemented
60#3251C2211yescharacteristic, complemented
61#3248C2211yescharacteristic, complemented
62#3247C2211yescharacteristic
63#3247C2211yescharacteristic, complemented
64#3246C2211yescharacteristic, complemented
65#3217C2211yescharacteristic
66#3217C2211yescharacteristic, complemented
67#3217C2211yescharacteristic, complemented
68#3216C2211yescharacteristic, complemented
69#3212C2211yescharacteristic, complemented
70#3208C2211yescharacteristic
71#3208C2211yescharacteristic, complemented
72#3207C2211yescharacteristic
73#3207C2211yescharacteristic
74#3205C2211yescharacteristic
75#3205C2211yescharacteristic
76#3205C2211yescharacteristic
77#3184C2211yescharacteristic
78#3184C2211yescharacteristic
79#3167C2211yescharacteristic
80#3151C2211yescharacteristic
81#3151C2211yescharacteristic
82C2×#493C2211yescharacteristic
83#3115C2211yescharacteristic, complemented
84#3113C2211yescharacteristic, complemented
85#3112C2211yescharacteristic
86#3112C2211yescharacteristic, complemented
87#3106C2211yescharacteristic, complemented
88#3103C2211yescharacteristic, complemented
89#3038C2211yescharacteristic, complemented
90#3037C2211yescharacteristic, complemented
91#3035C2211yescharacteristic, complemented
92C2×#460C2211yescharacteristic
93C2×#460C2211yescharacteristic, complemented
94C2×#460C2211yescharacteristic, complemented
95#2995—21no—
96#2994C2211yescharacteristic, complemented
97#2993C2211yescharacteristic, complemented
98#2992—21no—
99#2990C2211yescharacteristic
100#2990C2211yescharacteristic
101#2990C2211yescharacteristic
102#2989—21no—
103#2989C2211yescharacteristic, complemented
104#2987—21no—
105#2985C2211yescharacteristic, complemented
106#2984C2211yescharacteristic, complemented
107#2983C2211yescharacteristic, complemented
108#2970—21no—
109#2970C2211yescharacteristic, complemented
110#2969C2211yescharacteristic, complemented
111#2968—21no—
112#2967—21no—
113#2966C2211yescharacteristic, complemented
114#2965C2211yescharacteristic
115Q8×M16C2211yescharacteristic, complemented
116#2962C2211yescharacteristic, complemented
117#2961—21no—
118C2×#446C2211yescharacteristic, complemented
119#1704C2211yescharacteristic, complemented
120#1704C2211yescharacteristic, complemented
121#1704C2211yescharacteristic, complemented
122#1703C2211yescharacteristic, complemented
123#1702C2211yescharacteristic, complemented
124#1702C2211yescharacteristic, complemented
125#1702C2211yescharacteristic, complemented
126#1702C2211yescharacteristic, complemented
127#1702C2211yescharacteristic, complemented
128#1702C2211yescharacteristic, complemented
129#1701C2211yescharacteristic, complemented
130#1701C2211yescharacteristic, complemented
131#1698C2211yescharacteristic, complemented
132#1698C2211yescharacteristic, complemented
133#1698C2211yescharacteristic, complemented
134#1697C2211yescharacteristic, complemented
135#1692C2211yescharacteristic, complemented
136#1692C2211yescharacteristic, complemented
137#1688C2211yescharacteristic, complemented
138#1688C2211yescharacteristic, complemented
139#1688C2211yescharacteristic, complemented
140#1688C2211yescharacteristic, complemented
141#1688C2211yescharacteristic, complemented
142#1688C2211yescharacteristic, complemented
143#1688C2211yescharacteristic, complemented
144#1688C2211yescharacteristic, complemented
145#1688C2211yescharacteristic, complemented
146#1688C2211yescharacteristic, complemented
147#1688C2211yescharacteristic, complemented
148#1688C2211yescharacteristic, complemented
149#1688C2211yescharacteristic, complemented
150#1687C2211yescharacteristic, complemented
151#1687C2211yescharacteristic, complemented
152#1687C2211yescharacteristic, complemented
153#1686C2211yescharacteristic, complemented
154#1686C2211yescharacteristic, complemented
155#1686C2211yescharacteristic, complemented
156#1686C2211yescharacteristic, complemented
157#1686C2211yescharacteristic, complemented
158#1685C2211yescharacteristic, complemented
159#1682C2211yescharacteristic, complemented
160#1682C2211yescharacteristic, complemented
161#1682C2211yescharacteristic, complemented
162#1681C2211yescharacteristic, complemented
163#1678C2211yescharacteristic, complemented
164#1678C2211yescharacteristic, complemented
165#1678C2211yescharacteristic, complemented
166#1677C2211yescharacteristic, complemented
167#1672C2211yescharacteristic, complemented
168#1671C2211yescharacteristic, complemented
169#1668C2211yescharacteristic, complemented
170#1668C2211yescharacteristic, complemented
171#1668C2211yescharacteristic, complemented
172#1668C2211yescharacteristic, complemented
173#1668C2211yescharacteristic, complemented
174#1667C2211yescharacteristic, complemented
175#1667C2211yescharacteristic, complemented
176#1667C2211yescharacteristic, complemented
177#1666C2211yescharacteristic, complemented
178#1666C2211yescharacteristic, complemented
179#1666C2211yescharacteristic, complemented
180#1666C2211yescharacteristic, complemented
181#1665C2211yescharacteristic, complemented
182#1665C2211yescharacteristic, complemented
183#1573C2211yescharacteristic, complemented
184#1573C2211yescharacteristic, complemented
185#1572C2211yescharacteristic, complemented
186#1572C2211yescharacteristic, complemented
187#1570C2211yescharacteristic, complemented
188#1570C2211yescharacteristic, complemented
189#1569C2211yescharacteristic, complemented
190#1569C2211yescharacteristic, complemented
191#1568C2211yescharacteristic, complemented
192#1565C2211yescharacteristic, complemented
193#1565C2211yescharacteristic, complemented
194C2×#334C2211yescharacteristic, complemented
195#1560C2211yescharacteristic, complemented
196#1557C2211yescharacteristic, complemented
197#1557C2211yescharacteristic, complemented
198#1555C2211yescharacteristic
199#1555C2211yescharacteristic, complemented
200#1555C2211yescharacteristic, complemented
201#1553C2211yescharacteristic, complemented
202#1553C2211yescharacteristic, complemented
203#1552C2211yescharacteristic, complemented
204#1552C2211yescharacteristic, complemented
205#1551C2211yescharacteristic
206#1551C2211yescharacteristic
207#1551C2211yescharacteristic, complemented
208#1551C2211yescharacteristic, complemented
209#1547C2211yescharacteristic, complemented
210#1547C2211yescharacteristic, complemented
211#1545C2211yescharacteristic, complemented
212#1545C2211yescharacteristic, complemented
213#1543C2211yescharacteristic, complemented
214#1540C2211yescharacteristic, complemented
215#1540C2211yescharacteristic, complemented
216C2×#331C2211yescharacteristic
217C2×#331C2211yescharacteristic, complemented
218C2×#331C2211yescharacteristic, complemented
219C2×H(5,𝔽2)—21no—
220C2×#137—21no—
221C2×AGL(1,ℤ/8)—21no—
222C2×AGL(1,ℤ/8)—21no—
223C2×AGL(1,ℤ/8)—21no—
224C2×AGL(1,ℤ/8)—21no—
225C2×AGL(1,ℤ/8)—21no—
226C2×#135—21no—
227C22×SD16—21no—
228C22×SD16—21no—
229C22×SD16—21no—
230C22×D8—21no—
231C22×D8—21no—
232#559—21no—
233#559—21no—
234#557D411yescharacteristic
235#556—21no—
236#556D411yescharacteristic
237#552—21no—
238#552—21no—
239#552D411yescharacteristic
240#552D411yescharacteristic
241#550—21no—
242#550—21no—
243#550—21no—
244#550—21no—
245D4×Q8D411yescharacteristic
246#548D411yescharacteristic
247#548D411yescharacteristic
248#547—21no—
249#547D411yescharacteristic
250#546—21no—
251#546—21no—
252#546—21no—
253#546—21no—
254D42—21no—
255D42—21no—
256D42—21no—
257D42—21no—
258D42—21no—
259D42—21no—
260#540—21no—
261#540—21no—
262#535—21no—
263#535—21no—
264#535—21no—
265#535—21no—
266#533—21no—
267#533C2311yescharacteristic
268#533C2311yescharacteristic
269#532C2311yescharacteristic
270#532C2311yescharacteristic
271#532C2311yescharacteristic
272#532C2311yescharacteristic
273#532C2311yescharacteristic
274#532C2311yescharacteristic
275#532C2311yescharacteristic
276C2×#127C2311yescharacteristic
277C2×#127C2311yescharacteristic
278C2×#127C2311yescharacteristic
279C2×#127C2311yescharacteristic
280#529—21no—
281#529—21no—
282#529C2311yescharacteristic
283#529C2311yescharacteristic
284#518—21no—
285C4×#41—21no—
286C4×#41C2311yescharacteristic
287C4×#41C2311yescharacteristic
288C2×C4×Q8C2311yescharacteristic
289C2×C4×Q8C2311yescharacteristic
290#498C2311yescharacteristic
291#497—21no—
292#496—21no—
293#496—21no—
294#496—21no—
295#496—21no—
296#496—21no—
297#496—21no—
298#496—21no—
299#495—21no—
300#493—21no—
301#493—21no—
302#493C2311yescharacteristic
303#493C2311yescharacteristic
304#493C2311yescharacteristic
305#493C2311yescharacteristic
306#493C2311yescharacteristic
307#493C2311yescharacteristic
308#492—21no—
309#492C2311yescharacteristic
310#492C2311yescharacteristic
311#492C2311yescharacteristic
312#490—21no—
313#490—21no—
314#490—21no—
315#489—21no—
316#488—21no—
317#487C2311yescharacteristic
318#486—21no—
319#486C2311yescharacteristic
320#486C2311yescharacteristic
321#486C2311yescharacteristic
322#486C2311yescharacteristic
323#486C2311yescharacteristic
324#483—21no—
325#482—21no—
326#482—21no—
327#481—21no—
328#480—21no—
329#480—21no—
330#479—21no—
331#478—21no—
332#478—21no—
333#478—21no—
334#477C2311yescharacteristic
335#477C2311yescharacteristic
336#477C2311yescharacteristic
337#476—21no—
338#476C2311yescharacteristic
339#475C2311yescharacteristic
340#475C2311yescharacteristic
341#475C2311yescharacteristic
342#474—21no—
343#474C2311yescharacteristic
344#469—21no—
345#469—21no—
346#469—21no—
347#469—21no—
348#469—21no—
349#468—21no—
350#468—21no—
351#468—21no—
352#467—21no—
353#466—21no—
354#466—21no—
355#465—21no—
356#465—21no—
357#465—21no—
358#465—21no—
359#465—21no—
360#465—21no—
361#465—21no—
362#464—21no—
363#464—21no—
364#464—21no—
365#464—21no—
366#463—21no—
367#463—21no—
368#463—21no—
369#463—21no—
370#463—21no—
371#463—21no—
372#463—21no—
373#463—21no—
374#462C2311yescharacteristic
375#462C2311yescharacteristic
376#462C2311yescharacteristic
377#461—21no—
378#461—21no—
379#461C2311yescharacteristic
380#460—21no—
381#460—21no—
382#460—21no—
383#460—21no—
384#460—21no—
385#460—21no—
386#460—21no—
387#460—21no—
388#460—21no—
389#460C2311yescharacteristic
390#460C2311yescharacteristic
391#460C2311yescharacteristic
392#460C2311yescharacteristic
393#460C2311yescharacteristic
394#460C2311yescharacteristic
395#460C2311yescharacteristic
396#460C2311yescharacteristic
397#460C2311yescharacteristic
398#460C2311yescharacteristic
399#460C2311yescharacteristic
400#460C2311yescharacteristic
401#460C2311yescharacteristic
402#460C2311yescharacteristic
403#460C2311yescharacteristic
404#459—21no—
405#459—21no—
406#459—21no—
407#459—21no—
408#459—21no—
409#459—21no—
410#459—21no—
411#459C2311yescharacteristic
412#459C2311yescharacteristic
413#459C2311yescharacteristic
414#459C2311yescharacteristic
415#459C2311yescharacteristic
416#452—21no—
417#452—21no—
418#452—21no—
419#451—21no—
420#450—21no—
421#450—21no—
422#450—21no—
423#450—21no—
424#450—21no—
425#450—21no—
426#450—21no—
427#449—21no—
428#449—21no—
429#449—21no—
430#449—21no—
431#449—21no—
432#449—21no—
433#449—21no—
434#448—21no—
435#448—21no—
436#448—21no—
437#447—21no—
438#447—21no—
439#447—21no—
440#447—21no—
441#447—21no—
442#447—21no—
443#447—21no—
444#447—21no—
445#447—21no—
446#446—21no—
447#446—21no—
448#446—21no—
449#446—21no—
450#446—21no—
451#446—21no—
452#446—21no—
453#446—21no—
454#446—21no—
455#446—21no—
456#446—21no—
457#446—21no—
458#446—21no—
459#446—21no—
460#446—21no—
461#446D411yescharacteristic
462#446D411yescharacteristic
463#446C2311yescharacteristic
464#446C2311yescharacteristic
465#446C2311yescharacteristic
466#446C2311yescharacteristic
467#446C2311yescharacteristic
468#446C2311yescharacteristic
469#446C2311yescharacteristic
470#446C2311yescharacteristic
471C8×Q8C2311yescharacteristic
472C8×Q8C2311yescharacteristic
473C8×Q8C2311yescharacteristic
474C8×Q8C2311yescharacteristic
475#442—21no—
476#442—21no—
477#442—21no—
478#442—21no—
479#442—21no—
480#441—21no—
481#441—21no—
482#440—21no—
483#440—21no—
484#440—21no—
485#440—21no—
486#440—21no—
487C4×SD16—21no—
488C4×SD16—21no—
489C4×SD16—21no—
490C4×SD16—21no—
491C4×SD16—21no—
492C4×D8—21no—
493#436—21no—
494#436—21no—
495#436D411yescharacteristic
496#436D411yescharacteristic
497#436C2311yescharacteristic
498#436C2311yescharacteristic
499#435—21no—
500#435—21no—
501#435—21no—
502#435—21no—
503#435—21no—
504#435—21no—
505#435—21no—
506#435—21no—
507#435—21no—
508#435—21no—
509#435—21no—
510#435—21no—
511#435—21no—
512#435—21no—
513#435D411yescharacteristic
514#435D411yescharacteristic
515#435D411yescharacteristic
516#435D411yescharacteristic
517C8×D4—21no—
518C8×D4—21no—
519C8×D4—21no—
520C8×D4—21no—
521C8×D4—21no—
522C8×D4C2311yescharacteristic
523C8×D4C2311yescharacteristic
524#433—21no—
525#433—21no—
526#433—21no—
527#433—21no—
528#433—21no—
529#433—21no—
530#432—21no—
531#432—21no—
532#432—21no—
533#432—21no—
534#432—21no—
535#432C2311yescharacteristic
536#432C2311yescharacteristic
537#432C2311yescharacteristic
538#432C2311yescharacteristic
539#432C2311yescharacteristic
540#432C2311yescharacteristic
541#431—21no—
542#431C2311yescharacteristic
543#431C2311yescharacteristic
544#431C2311yescharacteristic
545#431C2311yescharacteristic
546#431C2311yescharacteristic
547#431C2311yescharacteristic
548#424—21no—
549#424—21no—
550#424—21no—
551#423—21no—
552#423—21no—
553#423C2311yescharacteristic
554#423C2311yescharacteristic
555#423C2311yescharacteristic
556C2×C4⋊C8—21no—
557C2×C4⋊C8C2311yescharacteristic
558C2×C4⋊C8C2311yescharacteristic
559C2×C4⋊C8C2311yescharacteristic
560C2×C4⋊C8C2311yescharacteristic
561C2×C4⋊C8C2311yescharacteristic
562C2×C4⋊C8C2311yescharacteristic
563#418—21no—
564#417—21no—
565#416—21no—
566C2×#102—21no—
567C2×#102—21no—
568C2×#102—21no—
569#405—21no—
570#405—21no—
571#405—21no—
572C4×M16—21no—
573C4×M16C2311yescharacteristic
574C4×M16C2311yescharacteristic
575C2×#97—21no—
576C2×#97—21no—
577C2×C4×C8C2311yescharacteristic
578#335C2311yescharacteristic
579#335C2311yescharacteristic
580#335C2311yescharacteristic
581#335C2311yescharacteristic
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#334C2311yescharacteristic
585#334C2311yescharacteristic
586#334C2311yescharacteristic
587#334C2311yescharacteristic
588#334C2311yescharacteristic
589#334C2311yescharacteristic
590#334C2311yescharacteristic
591#334C2311yescharacteristic
592#334C2311yescharacteristic
593#334C2311yescharacteristic
594#333C2311yescharacteristic
595#333C2311yescharacteristic
596#333C2311yescharacteristic
597#333C2311yescharacteristic
598#332C2311yescharacteristic
599#332C2311yescharacteristic
600#332C2311yescharacteristic
601#332C2311yescharacteristic
602#332C2311yescharacteristic
603#332C2311yescharacteristic
604#332C2311yescharacteristic
605#332C2311yescharacteristic
606#331C2311yescharacteristic
607#331C2311yescharacteristic
608#331C2311yescharacteristic
609#331C2311yescharacteristic
610#331C2311yescharacteristic
611#331C2311yescharacteristic
612#331C2311yescharacteristic
613#331C2311yescharacteristic
614#331C2311yescharacteristic
615#331C2311yescharacteristic
616#331C2311yescharacteristic
617#331C2311yescharacteristic
618#331C2311yescharacteristic
619#331C2311yescharacteristic
620#331C2311yescharacteristic
621#331C2311yescharacteristic
622#331C2311yescharacteristic
623#331C2311yescharacteristic
624#331C2311yescharacteristic
625#331C2311yescharacteristic
626H(5,𝔽2)—84no—
627C2×#41—21no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—21no—
631C2×#41—21no—
632C2×#41—21no—
633C2×#41—21no—
634C2×#41—21no—
635C2×#41—41no—
636C2×#41C2×D411yescharacteristic
637C2×#41#4111yescharacteristic
638C22×Q8C2×D411yescharacteristic
639C22×Q8C2×D411yescharacteristic
640C22×D4—21no—
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—21no—
645C22×D4—21no—
646C22×D4—21no—
647C22×D4—21no—
648C22×D4—21no—
649C22×D4—21no—
650C22×D4—21no—
651C22×D4—21no—
652C22×D4—41no—
653C22×D4—41no—
654C22×D4—41no—
655#137—82no—
656AGL(1,ℤ/8)—82no—
657AGL(1,ℤ/8)—82no—
658AGL(1,ℤ/8)—82no—
659AGL(1,ℤ/8)—82no—
660AGL(1,ℤ/8)—82no—
661#135—82no—
662C2×Q16—21no—
663C2×Q16—21no—
664C2×Q16—21no—
665C2×SD16—21no—
666C2×SD16—21no—
667C2×SD16—21no—
668C2×SD16—21no—
669C2×SD16—21no—
670C2×SD16—21no—
671C2×SD16—21no—
672C2×SD16—21no—
673C2×SD16—21no—
674C2×SD16—21no—
675C2×SD16—21no—
676C2×SD16—21no—
677C2×SD16—21no—
678C2×SD16—21no—
679C2×SD16—21no—
680C2×SD16—21no—
681C2×SD16—21no—
682C2×SD16—21no—
683C2×SD16—21no—
684C2×SD16—21no—
685C2×SD16—21no—
686C2×SD16—21no—
687C2×SD16—82no—
688C2×SD16—82no—
689C2×SD16—82no—
690C2×D8—21no—
691C2×D8—21no—
692C2×D8—21no—
693C2×D8—21no—
694C2×D8—21no—
695C2×D8—21no—
696C2×D8—21no—
697C2×D8—21no—
698C2×D8—21no—
699C2×D8—21no—
700C2×D8—21no—
701C2×D8—21no—
702C2×D8—21no—
703C2×D8—21no—
704C2×D8—21no—
705C2×D8—21no—
706C2×D8—21no—
707C2×D8—82no—
708C2×D8—82no—
709C2×M16—21no—
710C2×M16—21no—
711C2×M16—21no—
712C2×M16—21no—
713C2×M16—21no—
714C2×M16C2×D411yescharacteristic
715C2×M16C2×D411yescharacteristic
716C2×M16C2×D411yescharacteristic
717C2×M16C2×D411yescharacteristic
718C22×C8—21no—
719C22×C8—21no—
720C22×C8—21no—
721C22×C8—21no—
722C22×C8—21no—
723C22×C8—21no—
724C22×C8—21no—
725C22×C8—21no—
726C22×C8C2×D411yescharacteristic
727C22×C8C2×D411yescharacteristic
728C4⋊Q8—21no—
729C4⋊Q8—21no—
730C4⋊Q8C2×D411yescharacteristic
731C4⋊Q8C2×D411yescharacteristic
732C4⋊Q8C2411yescharacteristic
733C4⋊Q8C2411yescharacteristic
734C4⋊Q8C2411yescharacteristic
735#127—21no—
736#127—21no—
737#127—21no—
738#127—21no—
739#127—21no—
740#127—21no—
741#127—21no—
742#127—21no—
743#127—21no—
744#127—21no—
745#127—21no—
746#127—21no—
747#127—41no—
748#127C2411yescharacteristic
749#127C2411yescharacteristic
750#127C2411yescharacteristic
751#127C2411yescharacteristic
752#127C2411yescharacteristic
753#126—21no—
754#126—21no—
755#126—21no—
756#126—21no—
757#126—21no—
758#126—21no—
759#125—21no—
760#125—21no—
761#125—21no—
762#125—21no—
763#125—21no—
764#125—21no—
765#125C2×D411yescharacteristic
766#125C2×D411yescharacteristic
767#124—21no—
768#124—21no—
769#124—21no—
770#124—21no—
771#124—21no—
772#124—21no—
773#124—21no—
774#124—21no—
775#124—21no—
776#124—41no—
777#124C2×D411yescharacteristic
778#124C2×D411yescharacteristic
779#123—21no—
780#123—21no—
781#123—21no—
782#123—21no—
783#123—21no—
784#123—21no—
785#123—41no—
786#123—41no—
787#123—41no—
788#123—41no—
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⋊Q8C2×D411yescharacteristic
799C22⋊Q8C2×D411yescharacteristic
800C22⋊Q8C2×D411yescharacteristic
801C22⋊Q8C2×D411yescharacteristic
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#121C2×D411yescharacteristic
829#121C2×D411yescharacteristic
830#120—41no—
831#120—41no—
832#120—41no—
833#120—41no—
834#120—41no—
835#120—41no—
836#120—41no—
837#120—41no—
838C4×Q8—21no—
839C4×Q8—21no—
840C4×Q8—21no—
841C4×Q8—21no—
842C4×Q8—21no—
843C4×Q8—21no—
844C4×Q8—21no—
845C4×Q8—21no—
846C4×Q8C2×D411yescharacteristic
847C4×Q8C2×D411yescharacteristic
848C4×Q8C2×D411yescharacteristic
849C4×Q8C2×D411yescharacteristic
850C4×Q8C2×D411yescharacteristic
851C4×Q8C2×D411yescharacteristic
852C4×Q8C2×D411yescharacteristic
853C4×Q8C2411yescharacteristic
854C4×Q8C2411yescharacteristic
855C4×Q8C2411yescharacteristic
856C4×D4—21no—
857C4×D4—21no—
858C4×D4—21no—
859C4×D4—21no—
860C4×D4—21no—
861C4×D4—21no—
862C4×D4—21no—
863C4×D4—21no—
864C4×D4—21no—
865C4×D4—21no—
866C4×D4—21no—
867C4×D4—21no—
868C4×D4—21no—
869C4×D4—21no—
870C4×D4—21no—
871C4×D4—21no—
872C4×D4—21no—
873C4×D4—21no—
874C4×D4—21no—
875C4×D4—21no—
876C4×D4—21no—
877C4×D4—41no—
878C4×D4—41no—
879C4×D4C2×D411yescharacteristic
880C4×D4C2×D411yescharacteristic
881C4×D4C2×D411yescharacteristic
882C4×D4C2×D411yescharacteristic
883C4×D4C2×D411yescharacteristic
884C4×D4C2×D411yescharacteristic
885C4×D4C2×D411yescharacteristic
886C4×D4C2411yescharacteristic
887#117—21no—
888#117—21no—
889#117—21no—
890#117—21no—
891#117—21no—
892#117—21no—
893#117—21no—
894#117—21no—
895#117C2×D411yescharacteristic
896#117#4111yescharacteristic
897#117#4111yescharacteristic
898#117#4111yescharacteristic
899C2×C4⋊C4—21no—
900C2×C4⋊C4—21no—
901C2×C4⋊C4C2×D411yescharacteristic
902C2×C4⋊C4C2×D411yescharacteristic
903C2×C22⋊C4—41no—
904C2×C22⋊C4—41no—
905C2×C42—21no—
906C2×C42—21no—
907C2×C42—21no—
908C2×C42C2411yescharacteristic
909C2×C42C2411yescharacteristic
910C2×C42C2411yescharacteristic
911#107—21no—
912#107—21no—
913#107—21no—
914#107—21no—
915#106—21no—
916#106—21no—
917#106—21no—
918#106—21no—
919#106—21no—
920#106—21no—
921C4⋊C8—21no—
922C4⋊C8—21no—
923C4⋊C8—21no—
924C4⋊C8—21no—
925C4⋊C8—21no—
926C4⋊C8—21no—
927C4⋊C8—21no—
928C4⋊C8—21no—
929C4⋊C8—21no—
930C4⋊C8—21no—
931C4⋊C8—21no—
932C4⋊C8—21no—
933C4⋊C8—21no—
934C4⋊C8—21no—
935C4⋊C8—21no—
936C4⋊C8—21no—
937C4⋊C8—21no—
938C4⋊C8—21no—
939C4⋊C8—21no—
940C4⋊C8—21no—
941C4⋊C8—21no—
942C4⋊C8C2×D411yescharacteristic
943C4⋊C8C2×D411yescharacteristic
944C4⋊C8C2×D411yescharacteristic
945C4⋊C8C2×D411yescharacteristic
946C4⋊C8C2×D411yescharacteristic
947C4⋊C8C2×D411yescharacteristic
948C4⋊C8C2411yescharacteristic
949C4⋊C8C2411yescharacteristic
950C4⋊C8C2411yescharacteristic
951C4⋊C8C2411yescharacteristic
952C4⋊C8C2411yescharacteristic
953C4⋊C8C2411yescharacteristic
954C4⋊C8C2411yescharacteristic
955C4⋊C8C2411yescharacteristic
956C4⋊C8C2411yescharacteristic
957C4⋊C8C2411yescharacteristic
958C4⋊C8C2411yescharacteristic
959C4⋊C8C2411yescharacteristic
960#103—21no—
961#103—21no—
962#103—21no—
963#103—21no—
964#103—21no—
965#103—21no—
966#103—21no—
967#103—21no—
968#103—21no—
969#103—21no—
970#103—21no—
971#103—21no—
972#102—21no—
973#102—21no—
974#102—21no—
975#102—21no—
976#102—21no—
977#102—21no—
978#102—21no—
979#102—21no—
980#102—21no—
981#102—21no—
982#102—21no—
983#102—21no—
984#102—21no—
985#102—21no—
986#102—21no—
987#102—21no—
988#102—21no—
989#102—21no—
990#102—21no—
991#102—21no—
992#102—21no—
993#102—21no—
994#102—21no—
995#102—21no—
996#102—21no—
997#102—21no—
998#102—21no—
999#102—21no—
1000#102—21no—
1001#102—21no—
1002#102—21no—
1003#102—21no—
1004C22⋊C8—21no—
1005C22⋊C8—21no—
1006C22⋊C8—21no—
1007C22⋊C8—21no—
1008C22⋊C8—21no—
1009C22⋊C8—21no—
1010C22⋊C8—21no—
1011C22⋊C8—21no—
1012C22⋊C8—21no—
1013C22⋊C8—21no—
1014C22⋊C8—21no—
1015C22⋊C8—21no—
1016C22⋊C8—21no—
1017C22⋊C8C2×D411yescharacteristic
1018C22⋊C8C2×D411yescharacteristic
1019C22⋊C8C2×D411yescharacteristic
1020C22⋊C8C2×D411yescharacteristic
1021C22⋊C8C2×D411yescharacteristic
1022C22⋊C8C2×D411yescharacteristic
1023#97—21no—
1024#97—21no—
1025#97—21no—
1026#97—21no—
1027#97—21no—
1028#97—21no—
1029#97—21no—
1030#97—21no—
1031#97—21no—
1032#97—21no—
1033#97—21no—
1034#97—21no—
1035#97—21no—
1036#97—21no—
1037#97C2×D411yescharacteristic
1038#97C2×D411yescharacteristic
1039#97C2×D411yescharacteristic
1040#97C2×D411yescharacteristic
1041C4×C8—21no—
1042C4×C8—21no—
1043C4×C8—21no—
1044C4×C8—21no—
1045C4×C8—21no—
1046C4×C8—21no—
1047C4×C8—21no—
1048C4×C8C2×D411yescharacteristic
1049C4×C8C2×D411yescharacteristic
1050C4×C8C2411yescharacteristic
1051C4×C8C2411yescharacteristic
1052C4×C8C2411yescharacteristic
1053C4×C8C2411yescharacteristic
1054C24—41no—
1055C24—41no—
1056C24—41no—
1057C24—41no—
1058#41—42no—
1059#41—41no—
1060#41—41no—
1061#41—82no—
1062#41—81no—
1063#41—81no—
1064#41—81no—
1065#41—81no—
1066#41—81no—
1067#41—81no—
1068#41—81no—
1069#41—81no—
1070#41—82no—
1071#41—82no—
1072#41—82no—
1073#41—84no—
1074C2×Q8—21no—
1075C2×Q8—21no—
1076C2×Q8—21no—
1077C2×Q8—21no—
1078C2×Q8—21no—
1079C2×Q8—21no—
1080C2×Q8—41no—
1081C2×Q8—41no—
1082C2×Q8—41no—
1083C2×Q8—41no—
1084C2×Q8#12111yescharacteristic
1085C2×Q8C22×D411yescharacteristic
1086C2×Q8C22×D411yescharacteristic
1087C2×Q8C22×D411yescharacteristic
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—21no—
1103C2×D4—21no—
1104C2×D4—21no—
1105C2×D4—21no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—41no—
1109C2×D4—41no—
1110C2×D4—41no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C2×D4—41no—
1115C2×D4—41no—
1116C2×D4—41no—
1117C2×D4—41no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—41no—
1123C2×D4—41no—
1124C2×D4—41no—
1125C2×D4—81no—
1126C2×D4—81no—
1127C2×D4—81no—
1128C2×D4—81no—
1129C2×D4—81no—
1130C2×D4—81no—
1131C2×D4—81no—
1132C2×D4—81no—
1133C2×D4—81no—
1134C2×D4—81no—
1135C2×D4—81no—
1136C2×D4—81no—
1137C2×D4—81no—
1138C2×D4—81no—
1139C2×D4—81no—
1140C2×D4—81no—
1141C2×D4—82no—
1142C2×D4—82no—
1143C2×D4—82no—
1144C2×D4—82no—
1145C2×D4—84no—
1146C2×D4—84no—
1147C2×D4—84no—
1148C2×D4#12111yescharacteristic
1149C2×D4#12111yescharacteristic
1150C2×D4#12111yescharacteristic
1151C2×D4C22×D411yescharacteristic
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4—21no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4C22×D411yescharacteristic
1167C22×C4C22×D411yescharacteristic
1168C22×C4C22×D411yescharacteristic
1169C22×C4C22×D411yescharacteristic
1170C22×C4C22×D411yescharacteristic
1171C22×C4C22×D411yescharacteristic
1172C22×C4C2×#4111yescharacteristic
1173C22×C4C2×#4111yescharacteristic
1174C22×C4C2×#4111yescharacteristic
1175Q16—42no—
1176Q16—81no—
1177Q16—81no—
1178SD16—42no—
1179SD16—42no—
1180SD16—42no—
1181SD16—42no—
1182SD16—42no—
1183SD16—42no—
1184SD16—42no—
1185SD16—81no—
1186SD16—81no—
1187SD16—81no—
1188SD16—81no—
1189SD16—81no—
1190SD16—81no—
1191SD16—81no—
1192SD16—81no—
1193SD16—81no—
1194SD16—81no—
1195SD16—81no—
1196SD16—81no—
1197SD16—81no—
1198SD16—81no—
1199SD16—81no—
1200D8—42no—
1201D8—42no—
1202D8—42no—
1203D8—42no—
1204D8—81no—
1205D8—81no—
1206D8—81no—
1207D8—81no—
1208D8—81no—
1209D8—81no—
1210D8—81no—
1211D8—81no—
1212D8—81no—
1213D8—81no—
1214D8—81no—
1215D8—81no—
1216D8—81no—
1217M16—22no—
1218M16—22no—
1219M16—41no—
1220M16—41no—
1221M16—81no—
1222M16—81no—
1223M16—81no—
1224M16—81no—
1225M16—81no—
1226C2×C8—22no—
1227C2×C8—21no—
1228C2×C8—21no—
1229C2×C8—21no—
1230C2×C8—21no—
1231C2×C8—21no—
1232C2×C8—21no—
1233C2×C8—21no—
1234C2×C8—21no—
1235C2×C8—21no—
1236C2×C8—21no—
1237C2×C8—21no—
1238C2×C8—21no—
1239C2×C8—41no—
1240C2×C8—42no—
1241C2×C8—81no—
1242C2×C8—81no—
1243C2×C8—81no—
1244C2×C8—81no—
1245C2×C8—81no—
1246C2×C8—81no—
1247C2×C8—81no—
1248C2×C8C22×D411yescharacteristic
1249C2×C8C22×D411yescharacteristic
1250C2×C8C22×D411yescharacteristic
1251C2×C8C22×D411yescharacteristic
1252C2×C8C22×D411yescharacteristic
1253C2×C8C22×D411yescharacteristic
1254C2×C8C22×D411yescharacteristic
1255C2×C8C22×D411yescharacteristic
1256C4⋊C4—21no—
1257C4⋊C4—21no—
1258C4⋊C4—21no—
1259C4⋊C4—21no—
1260C4⋊C4—21no—
1261C4⋊C4—21no—
1262C4⋊C4—21no—
1263C4⋊C4—21no—
1264C4⋊C4—21no—
1265C4⋊C4—21no—
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—41no—
1284C4⋊C4—41no—
1285C4⋊C4#12111yescharacteristic
1286C4⋊C4#12111yescharacteristic
1287C4⋊C4#12111yescharacteristic
1288C4⋊C4#12111yescharacteristic
1289C4⋊C4#12111yescharacteristic
1290C4⋊C4#12111yescharacteristic
1291C4⋊C4C22×D411yescharacteristic
1292C4⋊C4C22×D411yescharacteristic
1293C4⋊C4C22×D411yescharacteristic
1294C4⋊C4C22×D411yescharacteristic
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—41no—
1309C22⋊C4—41no—
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⋊C4—41no—
1323C22⋊C4#12111yescharacteristic
1324C22⋊C4#12111yescharacteristic
1325C22⋊C4#12111yescharacteristic
1326C22⋊C4#12111yescharacteristic
1327C22⋊C4#12111yescharacteristic
1328C22⋊C4#12111yescharacteristic
1329C42—21no—
1330C42—21no—
1331C42—21no—
1332C42—21no—
1333C42—21no—
1334C42—21no—
1335C42—21no—
1336C42—21no—
1337C42—21no—
1338C42—41no—
1339C42C22×D411yescharacteristic
1340C42C22×D411yescharacteristic
1341C42C22×D411yescharacteristic
1342C42C22×D411yescharacteristic
1343C42C22×D411yescharacteristic
1344C42C22×D411yescharacteristic
1345C42C2×#4111yescharacteristic
1346C42C2×#4111yescharacteristic
1347C42C2×#4111yescharacteristic
1348C42C2511yescharacteristic
1349C23—21no—
1350C23—41no—
1351C23—41no—
1352C23—41no—
1353C23—41no—
1354C23—41no—
1355C23—82no—
1356C23—82no—
1357C23—82no—
1358C23—82no—
1359C23—161no—
1360C23—161no—
1361C23—161no—
1362C23—161no—
1363C23—161no—
1364C23—161no—
1365C23—161no—
1366C23—161no—
1367C23C2×#12111yescharacteristic
1368C23C2×#12111yescharacteristic
1369C23C2×#12111yescharacteristic
1370Q8—21no—
1371Q8—21no—
1372Q8—21no—
1373Q8—21no—
1374Q8—21no—
1375Q8—21no—
1376Q8—41no—
1377Q8—41no—
1378Q8—41no—
1379Q8—41no—
1380Q8—41no—
1381Q8—81no—
1382Q8—81no—
1383Q8—81no—
1384Q8—81no—
1385D4—22no—
1386D4—22no—
1387D4—21no—
1388D4—21no—
1389D4—41no—
1390D4—42no—
1391D4—41no—
1392D4—41no—
1393D4—41no—
1394D4—41no—
1395D4—41no—
1396D4—41no—
1397D4—41no—
1398D4—41no—
1399D4—41no—
1400D4—41no—
1401D4—41no—
1402D4—41no—
1403D4—41no—
1404D4—41no—
1405D4—41no—
1406D4—41no—
1407D4—41no—
1408D4—41no—
1409D4—41no—
1410D4—41no—
1411D4—81no—
1412D4—81no—
1413D4—81no—
1414D4—81no—
1415D4—81no—
1416D4—82no—
1417D4—82no—
1418D4—82no—
1419D4—82no—
1420D4—81no—
1421D4—81no—
1422D4—82no—
1423D4—82no—
1424D4—82no—
1425D4—161no—
1426D4—161no—
1427D4—161no—
1428D4—161no—
1429D4—161no—
1430D4—161no—
1431D4—161no—
1432D4—161no—
1433D4—161no—
1434D4—161no—
1435D4—161no—
1436D4—161no—
1437C2×C4—22no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—42no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—81no—
1466C2×C4—81no—
1467C2×C4—82no—
1468C2×C4—82no—
1469C2×C4—82no—
1470C2×C4—81no—
1471C2×C4—81no—
1472C2×C4—81no—
1473C2×C4—161no—
1474C2×C4—161no—
1475C2×C4—161no—
1476C2×C4—161no—
1477C2×C4C2×#12111yescharacteristic
1478C2×C4C2×#12111yescharacteristic
1479C2×C4C2×#12111yescharacteristic
1480C2×C4C2×#12111yescharacteristic
1481C2×C4C2×#12111yescharacteristic
1482C2×C4C2×#12111yescharacteristic
1483C2×C4C2×#12111yescharacteristic
1484C2×C4C2×#12111yescharacteristic
1485C2×C4C2×#12111yescharacteristic
1486C2×C4C23×D411yescharacteristic
1487C2×C4C23×D411yescharacteristic
1488C2×C4C22×#4111yescharacteristic
1489C8—21no—
1490C8—21no—
1491C8—21no—
1492C8—21no—
1493C8—21no—
1494C8—21no—
1495C8—21no—
1496C8—41no—
1497C8—41no—
1498C8—41no—
1499C8—41no—
1500C8—41no—
1501C8—41no—
1502C8—41no—
1503C8—41no—
1504C8—41no—
1505C8—41no—
1506C8—41no—
1507C8—41no—
1508C8#57712yes—
1509C22—21no—
1510C22—21no—
1511C22—21no—
1512C22—21no—
1513C22—21no—
1514C22—21no—
1515C22—21no—
1516C22—21no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—81no—
1521C22—81no—
1522C22—81no—
1523C22—81no—
1524C22—81no—
1525C22—81no—
1526C22—81no—
1527C22—81no—
1528C22—81no—
1529C22—81no—
1530C22—81no—
1531C22—81no—
1532C22—81no—
1533C22—81no—
1534C22—81no—
1535C22—322no—
1536C22—322no—
1537C22—322no—
1538C22—322no—
1539C22#306812yes—
1540C22C22×#12111yescharacteristic
1541C4—21no—
1542C4—21no—
1543C4—21no—
1544C4—21no—
1545C4—21no—
1546C4—21no—
1547C4—21no—
1548C4—21no—
1549C4—21no—
1550C4—21no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—81no—
1559C4—81no—
1560C4—81no—
1561C4C2×#57711yescharacteristic
1562C4#358511yescharacteristic
1563C4#358511yescharacteristic
1564C4#358511yescharacteristic
1565C2—22no—
1566C2—41no—
1567C2—41no—
1568C2—81no—
1569C2—161no—
1570C2—161no—
1571C2—161no—
1572C2—161no—
1573C2—161no—
1574C2#6043111yescharacteristic
1575C2#6046111yescharacteristic
1576C2C2×#306811yescharacteristic
subgroupG/H
center, socleC22C22×#121
commutator, Frattini, cosocleC42C25
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22 ◁ C4×#41 ◁ G
LECSG ▷ C42 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #62423C2semidirect
2. #61983C2semidirect
3. #61981C2semidirect
4. #60342C2semidirect
5. #19582C2semidirect
6. #19581C2semidirect
7. #19540C2semidirect
8. #19538C2semidirect
9. #19525C2semidirect
10. #19522C2semidirect
11. #19470C2semidirect
12. #19468C2semidirect
13. #19448C2semidirect
14. #19446C2semidirect
15. #19437C2semidirect
16. #19434C2semidirect
17. #19376C2semidirect
18. #19374C2semidirect
19. #19353C2semidirect
20. #19312C2semidirect
21. #19310C2semidirect
22. #19288C2semidirect
23. #19248C2semidirect
24. #19238C2semidirect
25. #19221C2semidirect
26. #19180C2semidirect
27. #19170C2semidirect
28. C2×#1688C2semidirect
29. #17838C2semidirect
30. #17771C2semidirect
31. #17770C2semidirect
59. #3254C22semidirect
60. #3251C22semidirect
61. #3248C22semidirect
63. #3247C22semidirect
64. #3246C22semidirect
66. #3217C22semidirect
67. #3217C22semidirect
68. #3216C22semidirect
69. #3212C22semidirect
71. #3208C22semidirect
83. #3115C22semidirect
84. #3113C22semidirect
86. #3112C22semidirect
87. #3106C22semidirect
88. #3103C22semidirect
89. #3038C22semidirect
90. #3037C22semidirect
91. #3035C22semidirect
93. C2×#460C22semidirect
94. C2×#460C22semidirect
96. #2994C22semidirect
97. #2993C22semidirect
103. #2989C22semidirect
105. #2985C22semidirect
106. #2984C22semidirect
107. #2983C22semidirect
109. #2970C22semidirect
110. #2969C22semidirect
113. #2966C22semidirect
115. Q8×M16C22semidirect
116. #2962C22semidirect
118. C2×#446C22semidirect
119. #1704C22semidirect
120. #1704C22semidirect
121. #1704C22semidirect
122. #1703C22semidirect
123. #1702C22semidirect
124. #1702C22semidirect
125. #1702C22semidirect
126. #1702C22semidirect
127. #1702C22semidirect
128. #1702C22semidirect
129. #1701C22semidirect
130. #1701C22semidirect
131. #1698C22semidirect
132. #1698C22semidirect
133. #1698C22semidirect
134. #1697C22semidirect
135. #1692C22semidirect
136. #1692C22semidirect
137. #1688C22semidirect
138. #1688C22semidirect
139. #1688C22semidirect
140. #1688C22semidirect
141. #1688C22semidirect
142. #1688C22semidirect
143. #1688C22semidirect
144. #1688C22semidirect
145. #1688C22semidirect
146. #1688C22semidirect
147. #1688C22semidirect
148. #1688C22semidirect
149. #1688C22semidirect
150. #1687C22semidirect
151. #1687C22semidirect
152. #1687C22semidirect
153. #1686C22semidirect
154. #1686C22semidirect
155. #1686C22semidirect
156. #1686C22semidirect
157. #1686C22semidirect
158. #1685C22semidirect
159. #1682C22semidirect
160. #1682C22semidirect
161. #1682C22semidirect
162. #1681C22semidirect
163. #1678C22semidirect
164. #1678C22semidirect
165. #1678C22semidirect
166. #1677C22semidirect
167. #1672C22semidirect
168. #1671C22semidirect
169. #1668C22semidirect
170. #1668C22semidirect
171. #1668C22semidirect
172. #1668C22semidirect
173. #1668C22semidirect
174. #1667C22semidirect
175. #1667C22semidirect
176. #1667C22semidirect
177. #1666C22semidirect
178. #1666C22semidirect
179. #1666C22semidirect
180. #1666C22semidirect
181. #1665C22semidirect
182. #1665C22semidirect
183. #1573C22semidirect
184. #1573C22semidirect
185. #1572C22semidirect
186. #1572C22semidirect
187. #1570C22semidirect
188. #1570C22semidirect
189. #1569C22semidirect
190. #1569C22semidirect
191. #1568C22semidirect
192. #1565C22semidirect
193. #1565C22semidirect
194. C2×#334C22semidirect
195. #1560C22semidirect
196. #1557C22semidirect
197. #1557C22semidirect
199. #1555C22semidirect
200. #1555C22semidirect
201. #1553C22semidirect
202. #1553C22semidirect
203. #1552C22semidirect
204. #1552C22semidirect
207. #1551C22semidirect
208. #1551C22semidirect
209. #1547C22semidirect
210. #1547C22semidirect
211. #1545C22semidirect
212. #1545C22semidirect
213. #1543C22semidirect
214. #1540C22semidirect
215. #1540C22semidirect
217. C2×#331C22semidirect
218. C2×#331C22semidirect

Maximal subgroups

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

subgroupindex
#624232
#619832
#619812
#603422
#195822
#195812
#195402
#195382
#195252
#195222
#194702
#194682
#194482
#194462
#194372
#194342
#193762
#193742
#193532
#193122
#193102
#192882
#192482
#192382
#192212
#191802
#191702
C2×#16882
#178382
#177712
#177702