Finite Group Databasebeta

← #6368163

Subgroups — #6368163

Order 512.

1634 conjugacy classes of subgroups.

The subgroup lattice has 1566 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62503C211yesmaximal, characteristic, complemented
2#62349C211yesmaximal, characteristic, complemented
3#62070C211yesmaximal, characteristic, complemented
4#61664C211yesmaximal, characteristic, complemented
5#20305C211yesmaximal, characteristic, complemented
6#20261C211yesmaximal, characteristic, complemented
7#20195C211yesmaximal, characteristic, complemented
8#20176C211yesmaximal, characteristic, complemented
9#20175C211yesmaximal, characteristic, complemented
10#20081C211yesmaximal, characteristic, complemented
11#20049C211yesmaximal, characteristic, complemented
12#20038C211yesmaximal, characteristic, complemented
13#20027C211yesmaximal, characteristic, complemented
14#19997C211yesmaximal, characteristic, complemented
15#19892C211yesmaximal, characteristic, complemented
16#19883C211yesmaximal, characteristic, complemented
17#19859C211yesmaximal, characteristic, complemented
18#19792C211yesmaximal, characteristic, complemented
19#19763C211yesmaximal, characteristic, complemented
20#19758C211yesmaximal, characteristic, complemented
21#19726C211yesmaximal, characteristic, complemented
22#19580C211yesmaximal, characteristic, complemented
23#19556C211yesmaximal, characteristic, complemented
24#19232C211yesmaximal, characteristic, complemented
25#19180C211yesmaximal, characteristic, complemented
26#18966C211yesmaximal, characteristic, complemented
27#18935C211yesmaximal, characteristic, complemented
28#18891C211yesmaximal, characteristic, complemented
29#18882C211yesmaximal, characteristic, complemented
30#18082C211yesmaximal, characteristic, complemented
31#18007C211yesmaximal, characteristic, complemented
32#3549C2211yescharacteristic
33#3546C2211yescharacteristic
34#3515C2211yescharacteristic, complemented
35#3499C2211yescharacteristic, complemented
36#3398C2211yescharacteristic, complemented
37#3392C2211yescharacteristic, complemented
38#3386C2211yescharacteristic, complemented
39#3386C2211yescharacteristic, complemented
40#3384C2211yescharacteristic, complemented
41#3384C2211yescharacteristic, complemented
42#3366C2211yescharacteristic, complemented
43#3360C2211yescharacteristic, complemented
44#3354C2211yescharacteristic
45#3347—21no—
46#3345—21no—
47#3345—21no—
48#3343—21no—
49#3343—21no—
50#3340C2211yescharacteristic
51#3335C2211yescharacteristic, complemented
52#3335C2211yescharacteristic, complemented
53#3334C2211yescharacteristic, complemented
54#3334C2211yescharacteristic, complemented
55#3331C2211yescharacteristic, complemented
56#3329—21no—
57#3329C2211yescharacteristic
58#3329C2211yescharacteristic, complemented
59#3325C2211yescharacteristic
60#3324C2211yescharacteristic
61#3319—21no—
62#3318—21no—
63#3317—21no—
64#3305C2211yescharacteristic
65#3303—21no—
66#3303C2211yescharacteristic
67#3303C2211yescharacteristic, complemented
68#3296—21no—
69#3295C2211yescharacteristic, complemented
70#3294C2211yescharacteristic
71#3284—21no—
72#3283C2211yescharacteristic, complemented
73D4×SD16—21no—
74D4×SD16C2211yescharacteristic
75D4×SD16C2211yescharacteristic, complemented
76D4×D8C2211yescharacteristic
77#3274C2211yescharacteristic
78#3272—21no—
79#3272C2211yescharacteristic
80#3272C2211yescharacteristic, complemented
81#3272C2211yescharacteristic, complemented
82#3267—21no—
83#3264—21no—
84#3258—21no—
85#3247C2211yescharacteristic
86#3246C2211yescharacteristic
87#3245C2211yescharacteristic
88#3239C2211yescharacteristic, complemented
89#3238—21no—
90#3235C2211yescharacteristic, complemented
91#3234—21no—
92#3226C2211yescharacteristic, complemented
93#3222—21no—
94#3210C2211yescharacteristic, complemented
95#3210C2211yescharacteristic, complemented
96#3206C2211yescharacteristic
97#3206C2211yescharacteristic, complemented
98#3200—21no—
99#3200—21no—
100#3199—21no—
101#3198—21no—
102#3184C2211yescharacteristic
103#3180—21no—
104#3171C2211yescharacteristic
105#3165C2211yescharacteristic, complemented
106C2×#501—21no—
107#3125—21no—
108#3106C2211yescharacteristic
109#3106C2211yescharacteristic, complemented
110#3062—21no—
111#3058—21no—
112#3045—21no—
113#3035C2211yescharacteristic, complemented
114#3010—21no—
115#3010—21no—
116#2994C2211yescharacteristic, complemented
117#2979C2211yescharacteristic, complemented
118#2970C2211yescharacteristic, complemented
119#2935C2211yescharacteristic
120#1723C2211yescharacteristic, complemented
121#1722C2211yescharacteristic, complemented
122#1720C2211yescharacteristic, complemented
123#1719C2211yescharacteristic, complemented
124#1715C2211yescharacteristic
125#1714C2211yescharacteristic, complemented
126#1707C2211yescharacteristic, complemented
127#1706C2211yescharacteristic
128#1704C2211yescharacteristic, complemented
129#1703C2211yescharacteristic, complemented
130#1703C2211yescharacteristic, complemented
131#1702C2211yescharacteristic, complemented
132#1698C2211yescharacteristic, complemented
133#1697C2211yescharacteristic, complemented
134#1693C2211yescharacteristic, complemented
135#1693C2211yescharacteristic, complemented
136#1692C2211yescharacteristic, complemented
137#1691C2211yescharacteristic, complemented
138#1691C2211yescharacteristic, complemented
139#1689C2211yescharacteristic, complemented
140#1688C2211yescharacteristic
141#1686C2211yescharacteristic, complemented
142#1685C2211yescharacteristic
143#1685C2211yescharacteristic, complemented
144#1684C2211yescharacteristic, complemented
145#1683C2211yescharacteristic, complemented
146#1683C2211yescharacteristic, complemented
147#1681C2211yescharacteristic, complemented
148#1677C2211yescharacteristic, complemented
149#1677C2211yescharacteristic, complemented
150#1673C2211yescharacteristic, complemented
151#1673C2211yescharacteristic, complemented
152#1671C2211yescharacteristic, complemented
153#1671C2211yescharacteristic, complemented
154#1671C2211yescharacteristic, complemented
155#1669C2211yescharacteristic, complemented
156#1667C2211yescharacteristic
157#1666C2211yescharacteristic, complemented
158#1665C2211yescharacteristic
159#1665C2211yescharacteristic, complemented
160#1650C2211yescharacteristic, complemented
161#1650C2211yescharacteristic, complemented
162#1649C2211yescharacteristic, complemented
163#1649C2211yescharacteristic, complemented
164#1647C2211yescharacteristic, complemented
165#1647C2211yescharacteristic, complemented
166#1647C2211yescharacteristic, complemented
167#1647C2211yescharacteristic, complemented
168#1646C2211yescharacteristic
169#1646C2211yescharacteristic, complemented
170#1642C2211yescharacteristic, complemented
171#1642C2211yescharacteristic, complemented
172#1639C2211yescharacteristic
173#1639C2211yescharacteristic, complemented
174#1639C2211yescharacteristic, complemented
175#1639C2211yescharacteristic, complemented
176#1636C2211yescharacteristic, complemented
177#1635C2211yescharacteristic, complemented
178#1634C2211yescharacteristic
179#1634C2211yescharacteristic, complemented
180#1632C2211yescharacteristic, complemented
181#1632C2211yescharacteristic, complemented
182#1629C2211yescharacteristic
183#1629C2211yescharacteristic, complemented
184#1627C2211yescharacteristic, complemented
185#1627C2211yescharacteristic, complemented
186#1626C2211yescharacteristic, complemented
187#1625C2211yescharacteristic
188#1625C2211yescharacteristic, complemented
189#1625C2211yescharacteristic, complemented
190#1622C2211yescharacteristic
191#1622C2211yescharacteristic, complemented
192#1592C2211yescharacteristic, complemented
193#1592C2211yescharacteristic, complemented
194#1590C2211yescharacteristic, complemented
195#1589C2211yescharacteristic, complemented
196#1588C2211yescharacteristic, complemented
197#1586C2211yescharacteristic, complemented
198#1586C2211yescharacteristic, complemented
199#1585C2211yescharacteristic, complemented
200#1582C2211yescharacteristic, complemented
201#1582C2211yescharacteristic, complemented
202#1581C2211yescharacteristic, complemented
203#1581C2211yescharacteristic, complemented
204#1580C2211yescharacteristic, complemented
205#1580C2211yescharacteristic, complemented
206C8×SD16C2211yescharacteristic, complemented
207C8×D8C2211yescharacteristic, complemented
208#1573C2211yescharacteristic, complemented
209#1565C2211yescharacteristic, complemented
210#1553C2211yescharacteristic, complemented
211#1551C2211yescharacteristic, complemented
212#1542C2211yescharacteristic, complemented
213C2×#332C2211yescharacteristic, complemented
214#1496C2211yescharacteristic
215#1482C2211yescharacteristic, complemented
216#1480C2211yescharacteristic, complemented
217#1477C2211yescharacteristic, complemented
218#1453C2211yescharacteristic, complemented
219C2×2−1+4—21no—
220C2×AGL(1,ℤ/8)—21no—
221C2×AGL(1,ℤ/8)—21no—
222C2×AGL(1,ℤ/8)—21no—
223C2×AGL(1,ℤ/8)—21no—
224C2×#135—21no—
225C2×#135—21no—
226C22×SD16—21no—
227C22×SD16—21no—
228C22×D8—21no—
229C2×#131—21no—
230H(3,𝔽4)—41no—
231#560—41no—
232#557C2311yescharacteristic
233#556C2311yescharacteristic
234#555—21no—
235#555—21no—
236#555C2311yescharacteristic
237#555C2311yescharacteristic
238#554C2311yescharacteristic
239#554C2311yescharacteristic
240#553—21no—
241#553—21no—
242#552—21no—
243#552—21no—
244#552—41no—
245#550—21no—
246#550C2311yescharacteristic
247D4×Q8—21no—
248D4×Q8C2311yescharacteristic
249D4×Q8C2311yescharacteristic
250#547—21no—
251#547—21no—
252#547—21no—
253#547—21no—
254#547—41no—
255#547C2311yescharacteristic
256#547C2311yescharacteristic
257#547C2311yescharacteristic
258#547C2311yescharacteristic
259#546—21no—
260#546—21no—
261D42—21no—
262D42—21no—
263D42C2311yescharacteristic
264D42C2311yescharacteristic
265D42C2311yescharacteristic
266#542—21no—
267#541—21no—
268#539—41no—
269#538—41no—
270#537—21no—
271#536—21no—
272#536—41no—
273#535—21no—
274#535—21no—
275#535—21no—
276#535—21no—
277#535—21no—
278#535—21no—
279#535—41no—
280#533C2311yescharacteristic
281#532—21no—
282#532C2311yescharacteristic
283#532C2311yescharacteristic
284#532C2311yescharacteristic
285#532C2311yescharacteristic
286C2×C4⋊Q8—21no—
287C2×C4⋊Q8C2311yescharacteristic
288#529—21no—
289#529C2311yescharacteristic
290C2×#125—21no—
291#520—21no—
292C4×#41C2311yescharacteristic
293#501—21no—
294#501—21no—
295#501—21no—
296#501—21no—
297#501—21no—
298#501—21no—
299#501—21no—
300#501—21no—
301#501D411yescharacteristic
302#500C2311yescharacteristic
303#500C2311yescharacteristic
304#500C2311yescharacteristic
305#500C2311yescharacteristic
306#498C2311yescharacteristic
307#498C2311yescharacteristic
308#498C2311yescharacteristic
309#497—21no—
310#496D411yescharacteristic
311#494C2311yescharacteristic
312#494C2311yescharacteristic
313#493C2311yescharacteristic
314#492—21no—
315#492—21no—
316#492C2311yescharacteristic
317#492C2311yescharacteristic
318#492C2311yescharacteristic
319#492C2311yescharacteristic
320#490—21no—
321#490—21no—
322#490D411yescharacteristic
323#489—21no—
324#489D411yescharacteristic
325#488—21no—
326#487—21no—
327#487C2311yescharacteristic
328#487C2311yescharacteristic
329#487C2311yescharacteristic
330#487C2311yescharacteristic
331#486C2311yescharacteristic
332#486C2311yescharacteristic
333#486C2311yescharacteristic
334#486C2311yescharacteristic
335#486C2311yescharacteristic
336#486C2311yescharacteristic
337#485—21no—
338#485—21no—
339#485—21no—
340#485—21no—
341#485—21no—
342#484—21no—
343#483—21no—
344#483—21no—
345#483—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#482D411yescharacteristic
355#482D411yescharacteristic
356#481—21no—
357#481—21no—
358#481—21no—
359#481—21no—
360#481—21no—
361#480—21no—
362#480—21no—
363#480—21no—
364#480—21no—
365#480—21no—
366#480—41no—
367#479—21no—
368#478—21no—
369#478—21no—
370#478—21no—
371#478—21no—
372#478—21no—
373#478—21no—
374#477—21no—
375#477—21no—
376#477D411yescharacteristic
377#477C2311yescharacteristic
378#477C2311yescharacteristic
379#476—21no—
380#476—21no—
381#476D411yescharacteristic
382#476C2311yescharacteristic
383#476C2311yescharacteristic
384#476C2311yescharacteristic
385#476C2311yescharacteristic
386#476C2311yescharacteristic
387#476C2311yescharacteristic
388#475—21no—
389#475C2311yescharacteristic
390#475C2311yescharacteristic
391#474—21no—
392#474—41no—
393#474C2311yescharacteristic
394#474C2311yescharacteristic
395#474C2311yescharacteristic
396#474C2311yescharacteristic
397#474C2311yescharacteristic
398#474C2311yescharacteristic
399#470—21no—
400#469—21no—
401#469—21no—
402#469—21no—
403#469—21no—
404#469—21no—
405#469D411yescharacteristic
406#469D411yescharacteristic
407#468—21no—
408#468—21no—
409#468—21no—
410#468—21no—
411#468—21no—
412#468—21no—
413#468D411yescharacteristic
414#468D411yescharacteristic
415#467—21no—
416#466—21no—
417#466—21no—
418#466—21no—
419#466—21no—
420#466—21no—
421#466—21no—
422#466—21no—
423#466—21no—
424#465—21no—
425#465—21no—
426#465—21no—
427#465—21no—
428#465—21no—
429#465—21no—
430#465—21no—
431#465—21no—
432#465—21no—
433#465—21no—
434#465—21no—
435#464—21no—
436#464—21no—
437#464—21no—
438#464—21no—
439#464—41no—
440#463—21no—
441#463—21no—
442#463—21no—
443#462—21no—
444#462C2311yescharacteristic
445#461—21no—
446#461—21no—
447#461—21no—
448#461C2311yescharacteristic
449#461C2311yescharacteristic
450#461C2311yescharacteristic
451#461C2311yescharacteristic
452#461C2311yescharacteristic
453#461C2311yescharacteristic
454#461C2311yescharacteristic
455#460—21no—
456#460—21no—
457#460D411yescharacteristic
458#460C2311yescharacteristic
459#460C2311yescharacteristic
460#460C2311yescharacteristic
461#459—21no—
462#459—21no—
463#459D411yescharacteristic
464#459C2311yescharacteristic
465#459C2311yescharacteristic
466#459C2311yescharacteristic
467#459C2311yescharacteristic
468#459C2311yescharacteristic
469#452—21no—
470#452—21no—
471#452—21no—
472#452—21no—
473#452—21no—
474#452—41no—
475#450—21no—
476#450—21no—
477#450—21no—
478#450—21no—
479#450—21no—
480#450—21no—
481#450—21no—
482#449—21no—
483#449—21no—
484#449—21no—
485#449—21no—
486#449—21no—
487#449—21no—
488#449—21no—
489#449—21no—
490#449D411yescharacteristic
491#449D411yescharacteristic
492#448—21no—
493#448—21no—
494#448—21no—
495#448—21no—
496#448—21no—
497#448—21no—
498#448—21no—
499#448—21no—
500#447—21no—
501#447—21no—
502#447—21no—
503#447—21no—
504#447—21no—
505#446C2311yescharacteristic
506#446C2311yescharacteristic
507#446C2311yescharacteristic
508C8×Q8C2311yescharacteristic
509#442—21no—
510#442—21no—
511#442—21no—
512#442—21no—
513#442—21no—
514#441—21no—
515#440—21no—
516#440—21no—
517C4×SD16—21no—
518C4×SD16—21no—
519C4×SD16—21no—
520C4×SD16C2311yescharacteristic
521C4×SD16C2311yescharacteristic
522C4×SD16C2311yescharacteristic
523C4×SD16C2311yescharacteristic
524C4×D8—21no—
525C4×D8C2311yescharacteristic
526C4×D8C2311yescharacteristic
527C4×D8C2311yescharacteristic
528C4×D8C2311yescharacteristic
529#436—21no—
530#436C2311yescharacteristic
531#436C2311yescharacteristic
532#436C2311yescharacteristic
533#436C2311yescharacteristic
534#436C2311yescharacteristic
535#435—21no—
536#435—21no—
537#435—21no—
538#435—21no—
539#435—21no—
540C8×D4—21no—
541C8×D4—21no—
542C8×D4C2311yescharacteristic
543C8×D4C2311yescharacteristic
544C8×D4C2311yescharacteristic
545C8×D4C2311yescharacteristic
546C8×D4C2311yescharacteristic
547C8×D4C2311yescharacteristic
548C8×D4C2311yescharacteristic
549#433—21no—
550#432—21no—
551#432C2311yescharacteristic
552#431C2311yescharacteristic
553#431C2311yescharacteristic
554#431C2311yescharacteristic
555#428—21no—
556#428—21no—
557#428—21no—
558#427—21no—
559C2×#107—21no—
560C2×#107—21no—
561C2×#106—21no—
562C2×#106—21no—
563#424—21no—
564C2×C4⋊C8C2311yescharacteristic
565C2×C4⋊C8C2311yescharacteristic
566#419—21no—
567#419—21no—
568#418—21no—
569#418—21no—
570#417—21no—
571#416—21no—
572#416—21no—
573#416—21no—
574#416—21no—
575C2×#102—21no—
576C2×#102—21no—
577#408—21no—
578#408—21no—
579#408—21no—
580C4×M16C2311yescharacteristic
581C2×#97—21no—
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#335C2311yescharacteristic
585#335C2311yescharacteristic
586#334C2311yescharacteristic
587#334C2311yescharacteristic
588#334C2311yescharacteristic
589#334C2311yescharacteristic
590#333C2311yescharacteristic
591#333C2311yescharacteristic
592#333C2311yescharacteristic
593#333C2311yescharacteristic
594#332C2311yescharacteristic
595#332C2311yescharacteristic
596#332C2311yescharacteristic
597#332C2311yescharacteristic
598#332C2311yescharacteristic
599#332C2311yescharacteristic
600#332C2311yescharacteristic
601#332C2311yescharacteristic
602#331C2311yescharacteristic
603#331C2311yescharacteristic
604#331C2311yescharacteristic
605#331C2311yescharacteristic
606Q8⋊C8C2311yescharacteristic
607Q8⋊C8C2311yescharacteristic
608Q8⋊C8C2311yescharacteristic
609Q8⋊C8C2311yescharacteristic
610D4⋊C8C2311yescharacteristic
611D4⋊C8C2311yescharacteristic
612D4⋊C8C2311yescharacteristic
613D4⋊C8C2311yescharacteristic
614D4⋊C8C2311yescharacteristic
615D4⋊C8C2311yescharacteristic
616D4⋊C8C2311yescharacteristic
617D4⋊C8C2311yescharacteristic
618D4⋊C8C2311yescharacteristic
619D4⋊C8C2311yescharacteristic
620D4⋊C8C2311yescharacteristic
621D4⋊C8C2311yescharacteristic
622#322C2311yescharacteristic
623#322C2311yescharacteristic
624#322C2311yescharacteristic
625C82C2311yescharacteristic
6262−1+4—82no—
6272−1+4—82no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—21no—
631C2×#41—21no—
632C2×#41—21no—
633C2×#41—21no—
634C2×#41—21no—
635C2×#41—21no—
636C2×#41—21no—
637C2×#41—41no—
638C2×#41—41no—
639C2×#41—41no—
640C2×#41C2×D411yescharacteristic
641C22×Q8—21no—
642C22×Q8—21no—
643C22×Q8—21no—
644C22×Q8—41no—
645C22×D4—21no—
646C22×D4—21no—
647C22×D4—21no—
648C22×D4—21no—
649C22×D4—21no—
650C22×D4—21no—
651C22×D4—41no—
652AGL(1,ℤ/8)—82no—
653AGL(1,ℤ/8)—82no—
654AGL(1,ℤ/8)—82no—
655AGL(1,ℤ/8)—82no—
656#135—82no—
657#135—82no—
658C2×Q16—21no—
659C2×Q16—21no—
660C2×Q16—21no—
661C2×Q16—41no—
662C2×SD16—21no—
663C2×SD16—21no—
664C2×SD16—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—41no—
679C2×SD16—82no—
680C2×SD16—82no—
681C2×SD16C2×D411yescharacteristic
682C2×SD16C2×D411yescharacteristic
683C2×SD16C2×D411yescharacteristic
684C2×SD16C2×D411yescharacteristic
685C2×D8—21no—
686C2×D8—21no—
687C2×D8—21no—
688C2×D8—21no—
689C2×D8—21no—
690C2×D8—21no—
691C2×D8—21no—
692C2×D8—82no—
693C2×D8C2×D411yescharacteristic
694C2×D8C2×D411yescharacteristic
695C2×D8C2×D411yescharacteristic
696C2×D8C2×D411yescharacteristic
697#131—82no—
698C2×M16—21no—
699C2×M16—21no—
700C2×M16—21no—
701C2×M16—21no—
702C2×M16—21no—
703C2×M16C2×D411yescharacteristic
704C2×M16C2×D411yescharacteristic
705C22×C8—21no—
706C22×C8—21no—
707C22×C8—21no—
708C22×C8—21no—
709C22×C8—21no—
710C22×C8—21no—
711C22×C8—21no—
712C22×C8—21no—
713C22×C8—21no—
714C4⋊Q8—21no—
715C4⋊Q8—21no—
716C4⋊Q8—21no—
717C4⋊Q8—21no—
718C4⋊Q8—21no—
719C4⋊Q8—21no—
720C4⋊Q8—41no—
721C4⋊Q8—41no—
722C4⋊Q8C2×D411yescharacteristic
723C4⋊Q8C2×D411yescharacteristic
724C4⋊Q8C2411yescharacteristic
725C4⋊Q8C2411yescharacteristic
726C4⋊Q8C2411yescharacteristic
727C4⋊Q8C2411yescharacteristic
728C4⋊Q8C2411yescharacteristic
729C4⋊Q8C2411yescharacteristic
730#127—21no—
731#127—41no—
732#127—41no—
733#127—41no—
734#127C2×D411yescharacteristic
735#127C2×D411yescharacteristic
736#127C2411yescharacteristic
737#127C2411yescharacteristic
738#126—21no—
739#126—41no—
740#126—41no—
741#126—41no—
742#126—41no—
743#126—41no—
744#125—21no—
745#125—21no—
746#125—21no—
747#125—21no—
748#125—41no—
749#125—41no—
750#125—41no—
751#125—41no—
752#125C2×D411yescharacteristic
753#124—21no—
754#124—21no—
755#124—21no—
756#124—21no—
757#124—21no—
758#124—41no—
759#124—41no—
760#124—41no—
761#124—41no—
762#124—41no—
763#124—41no—
764#124—41no—
765#124—41no—
766#124C2×D411yescharacteristic
767#123—21no—
768#123—41no—
769#123—41no—
770#123—41no—
771#123—41no—
772#123—41no—
773#123—41no—
774#123—41no—
775#123—41no—
776#123—41no—
777#123—41no—
778#123—41no—
779#123—41no—
780#123—41no—
781C22⋊Q8—21no—
782C22⋊Q8—21no—
783C22⋊Q8—21no—
784C22⋊Q8—21no—
785C22⋊Q8—21no—
786C22⋊Q8—21no—
787C22⋊Q8—21no—
788C22⋊Q8—21no—
789C22⋊Q8—21no—
790C22⋊Q8—21no—
791C22⋊Q8—21no—
792C22⋊Q8—41no—
793C22⋊Q8—41no—
794C22⋊Q8—41no—
795C22⋊Q8—41no—
796C22⋊Q8—41no—
797C22⋊Q8—41no—
798C22⋊Q8—41no—
799C22⋊Q8C2×D411yescharacteristic
800#121—21no—
801#121—21no—
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—21no—
819#121—21no—
820#121—21no—
821#121—41no—
822#121—41no—
823#121—41no—
824#121—41no—
825#121—41no—
826#121—41no—
827#121—41no—
828#121—41no—
829#121—41no—
830#121—41no—
831#121C2×D411yescharacteristic
832#121C2×D411yescharacteristic
833#121C2×D411yescharacteristic
834#121C2×D411yescharacteristic
835#121C2×D411yescharacteristic
836#120—41no—
837#120—41no—
838#120—41no—
839#120—41no—
840#120—41no—
841#120—41no—
842#120—41no—
843#120—41no—
844#120—41no—
845#120—41no—
846#120—41no—
847#120—41no—
848C4×Q8—21no—
849C4×Q8—21no—
850C4×Q8—21no—
851C4×Q8—21no—
852C4×Q8—21no—
853C4×Q8C2×D411yescharacteristic
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—41no—
871C4×D4—41no—
872C4×D4—41no—
873C4×D4—41no—
874C4×D4C2×D411yescharacteristic
875C4×D4C2411yescharacteristic
876C4×D4C2411yescharacteristic
877C4×D4C2411yescharacteristic
878C4×D4C2411yescharacteristic
879C4×D4C2411yescharacteristic
880C4×D4C2411yescharacteristic
881#117—21no—
882#117—21no—
883#117—21no—
884#117—21no—
885#117—21no—
886#117—21no—
887#117—21no—
888#117—21no—
889#117—41no—
890#117—41no—
891#117—41no—
892#117C2×D411yescharacteristic
893C2×C4⋊C4—21no—
894C2×C4⋊C4—21no—
895C2×C4⋊C4—21no—
896C2×C4⋊C4—21no—
897C2×C4⋊C4—21no—
898C2×C4⋊C4—21no—
899C2×C4⋊C4—21no—
900C2×C4⋊C4—21no—
901C2×C4⋊C4—41no—
902C2×C4⋊C4—41no—
903C2×C4⋊C4—41no—
904C2×C22⋊C4—41no—
905C2×C42—21no—
906C2×C42C2411yescharacteristic
907#107—21no—
908#107—21no—
909#107—21no—
910#107—21no—
911#107—21no—
912#107—21no—
913#107—21no—
914#107—21no—
915#107—21no—
916#107—21no—
917#107—21no—
918#107—21no—
919#107—41no—
920#107—41no—
921#107C2×D411yescharacteristic
922#107C2×D411yescharacteristic
923#107C2×D411yescharacteristic
924#107C2×D411yescharacteristic
925#106—21no—
926#106—21no—
927#106—21no—
928#106—21no—
929#106—21no—
930#106—21no—
931#106—21no—
932#106—21no—
933#106—21no—
934#106—21no—
935#106—21no—
936#106—21no—
937#106—21no—
938#106—21no—
939#106C2×D411yescharacteristic
940#106C2×D411yescharacteristic
941#106C2×D411yescharacteristic
942#106C2×D411yescharacteristic
943C4⋊C8—21no—
944C4⋊C8—21no—
945C4⋊C8—21no—
946C4⋊C8—21no—
947C4⋊C8—21no—
948C4⋊C8—21no—
949C4⋊C8—21no—
950C4⋊C8C2×D411yescharacteristic
951C4⋊C8C2×D411yescharacteristic
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#103—21no—
973#103—21no—
974#103—21no—
975#103—21no—
976#103—21no—
977#103—21no—
978#103—41no—
979#103C2×D411yescharacteristic
980#103C2×D411yescharacteristic
981#103C2×D411yescharacteristic
982#103C2×D411yescharacteristic
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—
1004#102—21no—
1005#102—21no—
1006#102—21no—
1007#102—21no—
1008#102—21no—
1009#102—41no—
1010#102—41no—
1011#102—41no—
1012#102C2×D411yescharacteristic
1013#102C2×D411yescharacteristic
1014#102C2×D411yescharacteristic
1015#102C2×D411yescharacteristic
1016#102C2×D411yescharacteristic
1017#102C2×D411yescharacteristic
1018#102C2×D411yescharacteristic
1019#102C2×D411yescharacteristic
1020#102C2×D411yescharacteristic
1021#102C2×D411yescharacteristic
1022#102C2×D411yescharacteristic
1023#102C2×D411yescharacteristic
1024C22⋊C8—21no—
1025C22⋊C8—21no—
1026C22⋊C8—21no—
1027C22⋊C8—21no—
1028C22⋊C8—21no—
1029C22⋊C8—21no—
1030C22⋊C8—21no—
1031C22⋊C8—21no—
1032C22⋊C8—21no—
1033C22⋊C8—21no—
1034C22⋊C8—21no—
1035C22⋊C8—21no—
1036C22⋊C8—21no—
1037C22⋊C8—21no—
1038C22⋊C8—21no—
1039C22⋊C8C2×D411yescharacteristic
1040C22⋊C8C2×D411yescharacteristic
1041#97—21no—
1042#97—21no—
1043#97—21no—
1044#97—21no—
1045#97C2×D411yescharacteristic
1046#97C2×D411yescharacteristic
1047C4×C8—21no—
1048C4×C8—21no—
1049C4×C8C2411yescharacteristic
1050C4×C8C2411yescharacteristic
1051C4×C8C2411yescharacteristic
1052C4×C8C2411yescharacteristic
1053C4×C8C2411yescharacteristic
1054C4×C8C2411yescharacteristic
1055C24—41no—
1056C24—41no—
1057C24—41no—
1058#41—22no—
1059#41—41no—
1060#41—42no—
1061#41—42no—
1062#41—42no—
1063#41—81no—
1064#41—81no—
1065#41—81no—
1066#41—81no—
1067#41—81no—
1068#41—81no—
1069#41—81no—
1070#41—81no—
1071#41—81no—
1072#41—84no—
1073#41—81no—
1074#41—81no—
1075#41—81no—
1076#41—81no—
1077#41—84no—
1078#41—84no—
1079#41—161no—
1080C2×Q8—21no—
1081C2×Q8—21no—
1082C2×Q8—21no—
1083C2×Q8—21no—
1084C2×Q8—21no—
1085C2×Q8—21no—
1086C2×Q8—21no—
1087C2×Q8—21no—
1088C2×Q8—41no—
1089C2×Q8—41no—
1090C2×Q8—41no—
1091C2×Q8—42no—
1092C2×Q8—42no—
1093C2×Q8—81no—
1094C2×Q8—81no—
1095C2×Q8—81no—
1096C2×Q8—81no—
1097C2×Q8—84no—
1098C2×Q8C22×D411yescharacteristic
1099C2×Q8C22×D411yescharacteristic
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—21no—
1103C2×D4—21no—
1104C2×D4—21no—
1105C2×D4—21no—
1106C2×D4—21no—
1107C2×D4—21no—
1108C2×D4—21no—
1109C2×D4—21no—
1110C2×D4—21no—
1111C2×D4—21no—
1112C2×D4—21no—
1113C2×D4—21no—
1114C2×D4—21no—
1115C2×D4—21no—
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—41no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C2×D4—41no—
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—81no—
1142C2×D4—81no—
1143C2×D4—81no—
1144C2×D4—162no—
1145C2×D4C22×D411yescharacteristic
1146C2×D4C22×D411yescharacteristic
1147C2×D4C22×D411yescharacteristic
1148C2×D4C22×D411yescharacteristic
1149C2×D4C22×D411yescharacteristic
1150C2×D4C22×D411yescharacteristic
1151C22×C4—21no—
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×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4C22×D411yescharacteristic
1172C22×C4C22×D411yescharacteristic
1173C22×C4H(5,𝔽2)11yescharacteristic
1174Q16—81no—
1175Q16—81no—
1176Q16—81no—
1177Q16—161no—
1178SD16—22no—
1179SD16—41no—
1180SD16—41no—
1181SD16—41no—
1182SD16—42no—
1183SD16—42no—
1184SD16—81no—
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—161no—
1199D8—22no—
1200D8—22no—
1201D8—22no—
1202D8—41no—
1203D8—42no—
1204D8—42no—
1205D8—42no—
1206D8—81no—
1207D8—81no—
1208D8—81no—
1209D8—81no—
1210M16—22no—
1211M16—41no—
1212M16—42no—
1213M16—81no—
1214M16—81no—
1215M16—81no—
1216M16—81no—
1217C2×C8—21no—
1218C2×C8—21no—
1219C2×C8—21no—
1220C2×C8—21no—
1221C2×C8—21no—
1222C2×C8—21no—
1223C2×C8—21no—
1224C2×C8—21no—
1225C2×C8—21no—
1226C2×C8—21no—
1227C2×C8—42no—
1228C2×C8—42no—
1229C2×C8—42no—
1230C2×C8—81no—
1231C2×C8—81no—
1232C2×C8—81no—
1233C2×C8—81no—
1234C2×C8—81no—
1235C2×C8—81no—
1236C2×C8C22×D411yescharacteristic
1237C2×C8C22×D411yescharacteristic
1238C2×C8C22×D411yescharacteristic
1239C2×C8C22×D411yescharacteristic
1240C2×C8C22×D411yescharacteristic
1241C2×C8C22×D411yescharacteristic
1242C2×C8C22×D411yescharacteristic
1243C2×C8C22×D411yescharacteristic
1244C4⋊C4—21no—
1245C4⋊C4—21no—
1246C4⋊C4—21no—
1247C4⋊C4—21no—
1248C4⋊C4—21no—
1249C4⋊C4—21no—
1250C4⋊C4—21no—
1251C4⋊C4—21no—
1252C4⋊C4—21no—
1253C4⋊C4—21no—
1254C4⋊C4—21no—
1255C4⋊C4—21no—
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—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4C22×D411yescharacteristic
1283C4⋊C4C22×D411yescharacteristic
1284C4⋊C4C22×D411yescharacteristic
1285C4⋊C4C22×D411yescharacteristic
1286C4⋊C4C22×D411yescharacteristic
1287C4⋊C4C22×D411yescharacteristic
1288C4⋊C4C22×D411yescharacteristic
1289C4⋊C4C22×D411yescharacteristic
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—41no—
1307C22⋊C4—41no—
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—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C42—21no—
1330C42—21no—
1331C42—21no—
1332C42—21no—
1333C42—41no—
1334C42—41no—
1335C42—41no—
1336C42—41no—
1337C42—41no—
1338C42C22×D411yescharacteristic
1339C42C22×D411yescharacteristic
1340C42H(5,𝔽2)11yescharacteristic
1341C42C2511yescharacteristic
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—41no—
1349C23—41no—
1350C23—161no—
1351C23—161no—
1352C23—161no—
1353C23—161no—
1354C23—161no—
1355C23—161no—
1356C23—161no—
1357C23—161no—
1358C23—161no—
1359C23D4211yescharacteristic
1360Q8—21no—
1361Q8—21no—
1362Q8—21no—
1363Q8—21no—
1364Q8—41no—
1365Q8—41no—
1366Q8—41no—
1367Q8—41no—
1368Q8—41no—
1369Q8—41no—
1370Q8—41no—
1371Q8—41no—
1372Q8—81no—
1373Q8—81no—
1374Q8—81no—
1375Q8—81no—
1376Q8—82no—
1377Q8—82no—
1378Q8—82no—
1379D4—21no—
1380D4—21no—
1381D4—21no—
1382D4—21no—
1383D4—21no—
1384D4—21no—
1385D4—21no—
1386D4—21no—
1387D4—21no—
1388D4—21no—
1389D4—21no—
1390D4—42no—
1391D4—42no—
1392D4—41no—
1393D4—41no—
1394D4—41no—
1395D4—41no—
1396D4—41no—
1397D4—41no—
1398D4—41no—
1399D4—41no—
1400D4—81no—
1401D4—81no—
1402D4—81no—
1403D4—81no—
1404D4—81no—
1405D4—81no—
1406D4—81no—
1407D4—81no—
1408D4—81no—
1409D4—81no—
1410D4—82no—
1411D4—82no—
1412D4—82no—
1413D4—161no—
1414D4—161no—
1415D4—161no—
1416D4—161no—
1417D4—161no—
1418D4—161no—
1419D4—161no—
1420D4—161no—
1421D4—161no—
1422D4—161no—
1423D4—161no—
1424D4—161no—
1425D4—161no—
1426D4#57612yes—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—41no—
1442C2×C4—42no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—41no—
1455C2×C4—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—81no—
1462C2×C4—82no—
1463C2×C4—82no—
1464C2×C4—82no—
1465C2×C4—82no—
1466C2×C4—82no—
1467C2×C4—82no—
1468C2×C4—82no—
1469C2×C4—161no—
1470C2×C4—161no—
1471C2×C4—161no—
1472C2×C4—161no—
1473C2×C4—161no—
1474C2×C4D4211yescharacteristic
1475C2×C4D4211yescharacteristic
1476C2×C4D4211yescharacteristic
1477C2×C4C23×D411yescharacteristic
1478C2×C4C23×D411yescharacteristic
1479C2×C4C2×H(5,𝔽2)11yescharacteristic
1480C8—21no—
1481C8—21no—
1482C8—21no—
1483C8—21no—
1484C8—21no—
1485C8—21no—
1486C8—21no—
1487C8—41no—
1488C8—41no—
1489C8—41no—
1490C8—41no—
1491C8—41no—
1492C8—41no—
1493C8—41no—
1494C8—41no—
1495C8—41no—
1496C8—41no—
1497C8#57712yes—
1498C22—21no—
1499C22—22no—
1500C22—21no—
1501C22—21no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—81no—
1520C22—81no—
1521C22—81no—
1522C22—81no—
1523C22—81no—
1524C22—81no—
1525C22—322no—
1526C22—322no—
1527C22—322no—
1528C22C2×D4211yescharacteristic
1529C4—21no—
1530C4—21no—
1531C4—21no—
1532C4—21no—
1533C4—41no—
1534C4—41no—
1535C4—41no—
1536C4—41no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—81no—
1544C4—81no—
1545C4—81no—
1546C4—81no—
1547C4—81no—
1548C4—81no—
1549C4C2×#57611yescharacteristic
1550C4C2×#57711yescharacteristic
1551C4#358511yescharacteristic
1552C4#358611yescharacteristic
1553C2—41no—
1554C2—42no—
1555C2—81no—
1556C2—81no—
1557C2—81no—
1558C2—81no—
1559C2—81no—
1560C2—161no—
1561C2—161no—
1562C2#6107211yescharacteristic
1563C2#6109411yescharacteristic
1564C2#6110711yescharacteristic
subgroupG/H
center, socleC22C2×D42
commutator, Frattini, cosocleC42C25
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22 ◁ C2×C42 ◁ G
LECSG ▷ C42 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #62503C2semidirect
2. #62349C2semidirect
3. #62070C2semidirect
4. #61664C2semidirect
5. #20305C2semidirect
6. #20261C2semidirect
7. #20195C2semidirect
8. #20176C2semidirect
9. #20175C2semidirect
10. #20081C2semidirect
11. #20049C2semidirect
12. #20038C2semidirect
13. #20027C2semidirect
14. #19997C2semidirect
15. #19892C2semidirect
16. #19883C2semidirect
17. #19859C2semidirect
18. #19792C2semidirect
19. #19763C2semidirect
20. #19758C2semidirect
21. #19726C2semidirect
22. #19580C2semidirect
23. #19556C2semidirect
24. #19232C2semidirect
25. #19180C2semidirect
26. #18966C2semidirect
27. #18935C2semidirect
28. #18891C2semidirect
29. #18882C2semidirect
30. #18082C2semidirect
31. #18007C2semidirect
34. #3515C22semidirect
35. #3499C22semidirect
36. #3398C22semidirect
37. #3392C22semidirect
38. #3386C22semidirect
39. #3386C22semidirect
40. #3384C22semidirect
41. #3384C22semidirect
42. #3366C22semidirect
43. #3360C22semidirect
51. #3335C22semidirect
52. #3335C22semidirect
53. #3334C22semidirect
54. #3334C22semidirect
55. #3331C22semidirect
58. #3329C22semidirect
67. #3303C22semidirect
69. #3295C22semidirect
72. #3283C22semidirect
75. D4×SD16C22semidirect
80. #3272C22semidirect
81. #3272C22semidirect
88. #3239C22semidirect
90. #3235C22semidirect
92. #3226C22semidirect
94. #3210C22semidirect
95. #3210C22semidirect
97. #3206C22semidirect
105. #3165C22semidirect
109. #3106C22semidirect
113. #3035C22semidirect
116. #2994C22semidirect
117. #2979C22semidirect
118. #2970C22semidirect
120. #1723C22semidirect
121. #1722C22semidirect
122. #1720C22semidirect
123. #1719C22semidirect
125. #1714C22semidirect
126. #1707C22semidirect
128. #1704C22semidirect
129. #1703C22semidirect
130. #1703C22semidirect
131. #1702C22semidirect
132. #1698C22semidirect
133. #1697C22semidirect
134. #1693C22semidirect
135. #1693C22semidirect
136. #1692C22semidirect
137. #1691C22semidirect
138. #1691C22semidirect
139. #1689C22semidirect
141. #1686C22semidirect
143. #1685C22semidirect
144. #1684C22semidirect
145. #1683C22semidirect
146. #1683C22semidirect
147. #1681C22semidirect
148. #1677C22semidirect
149. #1677C22semidirect
150. #1673C22semidirect
151. #1673C22semidirect
152. #1671C22semidirect
153. #1671C22semidirect
154. #1671C22semidirect
155. #1669C22semidirect
157. #1666C22semidirect
159. #1665C22semidirect
160. #1650C22semidirect
161. #1650C22semidirect
162. #1649C22semidirect
163. #1649C22semidirect
164. #1647C22semidirect
165. #1647C22semidirect
166. #1647C22semidirect
167. #1647C22semidirect
169. #1646C22semidirect
170. #1642C22semidirect
171. #1642C22semidirect
173. #1639C22semidirect
174. #1639C22semidirect
175. #1639C22semidirect
176. #1636C22semidirect
177. #1635C22semidirect
179. #1634C22semidirect
180. #1632C22semidirect
181. #1632C22semidirect
183. #1629C22semidirect
184. #1627C22semidirect
185. #1627C22semidirect
186. #1626C22semidirect
188. #1625C22semidirect
189. #1625C22semidirect
191. #1622C22semidirect
192. #1592C22semidirect
193. #1592C22semidirect
194. #1590C22semidirect
195. #1589C22semidirect
196. #1588C22semidirect
197. #1586C22semidirect
198. #1586C22semidirect
199. #1585C22semidirect
200. #1582C22semidirect
201. #1582C22semidirect
202. #1581C22semidirect
203. #1581C22semidirect
204. #1580C22semidirect
205. #1580C22semidirect
206. C8×SD16C22semidirect
207. C8×D8C22semidirect
208. #1573C22semidirect
209. #1565C22semidirect
210. #1553C22semidirect
211. #1551C22semidirect
212. #1542C22semidirect
213. C2×#332C22semidirect
215. #1482C22semidirect
216. #1480C22semidirect
217. #1477C22semidirect
218. #1453C22semidirect

Maximal subgroups

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

subgroupindex
#625032
#623492
#620702
#616642
#203052
#202612
#201952
#201762
#201752
#200812
#200492
#200382
#200272
#199972
#198922
#198832
#198592
#197922
#197632
#197582
#197262
#195802
#195562
#192322
#191802
#189662
#189352
#188912
#188822
#180822
#180072