Finite Group Databasebeta

← #6366812

Subgroups — #6366812

Order 512.

1547 conjugacy classes of subgroups.

The subgroup lattice has 1517 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62553C211yesmaximal, characteristic, complemented
2#62262C211yesmaximal, characteristic, complemented
3#62199C211yesmaximal, characteristic, complemented
4#62054C211yesmaximal, characteristic, complemented
5#20267C211yesmaximal, characteristic, complemented
6#20252C211yesmaximal, characteristic, complemented
7#20238C211yesmaximal, characteristic, complemented
8#20233C211yesmaximal, characteristic, complemented
9#20227C211yesmaximal, characteristic, complemented
10#20223C211yesmaximal, characteristic, complemented
11#20200C211yesmaximal, characteristic, complemented
12#20198C211yesmaximal, characteristic, complemented
13#20194C211yesmaximal, characteristic, complemented
14#20178C211yesmaximal, characteristic, complemented
15#20168C211yesmaximal, characteristic, complemented
16#20162C211yesmaximal, characteristic, complemented
17#19832C211yesmaximal, characteristic, complemented
18#19822C211yesmaximal, characteristic, complemented
19#19779C211yesmaximal, characteristic, complemented
20#19777C211yesmaximal, characteristic, complemented
21#19686C211yesmaximal, characteristic, complemented
22#19589C211yesmaximal, characteristic, complemented
23#19583C211yesmaximal, characteristic, complemented
24#19229C211yesmaximal, characteristic, complemented
25C2×#1699C211yesmaximal, characteristic, complemented
26#18733C211yesmaximal, characteristic, complemented
27#18726C211yesmaximal, characteristic, complemented
28#18587C211yesmaximal, characteristic, complemented
29#18570C211yesmaximal, characteristic, complemented
30#18092C211yesmaximal, characteristic, complemented
31#17938C211yesmaximal, characteristic, complemented
32#3552C2211yescharacteristic
33#3552C2211yescharacteristic, complemented
34#3520C2211yescharacteristic
35#3519C2211yescharacteristic
36#3398C2211yescharacteristic
37#3393C2211yescharacteristic
38#3384C2211yescharacteristic
39#3381C2211yescharacteristic
40#3374C2211yescharacteristic, complemented
41#3368C2211yescharacteristic
42#3367C2211yescharacteristic, complemented
43#3367C2211yescharacteristic, complemented
44#3364C2211yescharacteristic, complemented
45#3359C2211yescharacteristic, complemented
46#3359C2211yescharacteristic, complemented
47#3358C2211yescharacteristic
48#3356C2211yescharacteristic
49#3354C2211yescharacteristic
50#3354C2211yescharacteristic
51#3351—21no—
52#3346—21no—
53#3340C2211yescharacteristic
54#3339—21no—
55#3332C2211yescharacteristic
56#3331C2211yescharacteristic
57#3330C2211yescharacteristic
58#3330C2211yescharacteristic, complemented
59#3329C2211yescharacteristic
60#3328C2211yescharacteristic, complemented
61#3326—21no—
62#3324C2211yescharacteristic
63#3324C2211yescharacteristic
64#3323—21no—
65#3320—21no—
66#3318—21no—
67#3316—21no—
68#3316—21no—
69#3302C2211yescharacteristic, complemented
70#3301—21no—
71#3299—21no—
72#3299—21no—
73#3298C2211yescharacteristic
74#3298C2211yescharacteristic, complemented
75#3295—21no—
76#3294C2211yescharacteristic
77#3283C2211yescharacteristic, complemented
78#3282—21no—
79#3278C2211yescharacteristic
80#3276C2211yescharacteristic, complemented
81#3275—21no—
82#3272C2211yescharacteristic
83#3266—21no—
84#3258—21no—
85#3257—21no—
86#3248C2211yescharacteristic
87#3248C2211yescharacteristic, complemented
88#3247C2211yescharacteristic
89#3247C2211yescharacteristic
90#3242—21no—
91#3241—21no—
92#3239C2211yescharacteristic
93#3227C2211yescharacteristic
94#3225—21no—
95#3225—21no—
96#3218C2211yescharacteristic, complemented
97#3209C2211yescharacteristic, complemented
98#3191—21no—
99#3187—21no—
100#3178—21no—
101#3168C2211yescharacteristic
102#3167C2211yescharacteristic
103#3165C2211yescharacteristic, complemented
104#3141C2211yescharacteristic
105#3137—21no—
106C2×#487C2211yescharacteristic, complemented
107#3120—21no—
108#3118—21no—
109#3105C2211yescharacteristic
110#3081—21no—
111C2×#474C2211yescharacteristic
112#3056—21no—
113#3055—21no—
114#3046—21no—
115C2×#461C2211yescharacteristic
116#2994C2211yescharacteristic
117#2994C2211yescharacteristic, complemented
118#2966C2211yescharacteristic, complemented
119C2×#436C2211yescharacteristic
120#1720C2211yescharacteristic, complemented
121#1720C2211yescharacteristic, complemented
122#1719C2211yescharacteristic, complemented
123#1719C2211yescharacteristic, complemented
124#1718C2211yescharacteristic, complemented
125#1718C2211yescharacteristic, complemented
126#1716C2211yescharacteristic, complemented
127#1716C2211yescharacteristic, complemented
128#1702C2211yescharacteristic, complemented
129#1701C2211yescharacteristic, complemented
130#1700C2211yescharacteristic, complemented
131#1699C2211yescharacteristic
132#1699C2211yescharacteristic
133#1699C2211yescharacteristic
134#1699C2211yescharacteristic
135#1699C2211yescharacteristic, complemented
136#1699C2211yescharacteristic, complemented
137#1699C2211yescharacteristic, complemented
138#1699C2211yescharacteristic, complemented
139#1699C2211yescharacteristic, complemented
140#1692C2211yescharacteristic, complemented
141#1692C2211yescharacteristic, complemented
142#1691C2211yescharacteristic, complemented
143#1691C2211yescharacteristic, complemented
144#1690C2211yescharacteristic, complemented
145#1689C2211yescharacteristic, complemented
146#1686C2211yescharacteristic, complemented
147#1685C2211yescharacteristic, complemented
148#1684C2211yescharacteristic, complemented
149#1683C2211yescharacteristic, complemented
150#1682C2211yescharacteristic, complemented
151#1682C2211yescharacteristic, complemented
152#1681C2211yescharacteristic, complemented
153#1681C2211yescharacteristic, complemented
154#1680C2211yescharacteristic, complemented
155#1679C2211yescharacteristic, complemented
156#1672C2211yescharacteristic, complemented
157#1671C2211yescharacteristic, complemented
158#1670C2211yescharacteristic, complemented
159#1669C2211yescharacteristic, complemented
160#1654C2211yescharacteristic, complemented
161#1654C2211yescharacteristic, complemented
162#1654C2211yescharacteristic, complemented
163#1653C2211yescharacteristic, complemented
164#1652C2211yescharacteristic
165#1652C2211yescharacteristic
166#1652C2211yescharacteristic, complemented
167#1651C2211yescharacteristic, complemented
168#1650C2211yescharacteristic, complemented
169#1649C2211yescharacteristic, complemented
170#1649C2211yescharacteristic, complemented
171#1649C2211yescharacteristic, complemented
172#1648C2211yescharacteristic, complemented
173#1647C2211yescharacteristic
174#1647C2211yescharacteristic
175#1647C2211yescharacteristic, complemented
176#1646C2211yescharacteristic
177#1646C2211yescharacteristic
178#1643C2211yescharacteristic
179#1643C2211yescharacteristic
180#1642C2211yescharacteristic
181#1642C2211yescharacteristic
182#1639C2211yescharacteristic
183#1639C2211yescharacteristic
184#1638C2211yescharacteristic, complemented
185#1637C2211yescharacteristic, complemented
186#1636C2211yescharacteristic, complemented
187#1635C2211yescharacteristic, complemented
188#1628C2211yescharacteristic, complemented
189#1627C2211yescharacteristic, complemented
190#1626C2211yescharacteristic, complemented
191#1625C2211yescharacteristic, complemented
192#1594C2211yescharacteristic
193#1594C2211yescharacteristic, complemented
194#1592C2211yescharacteristic
195#1592C2211yescharacteristic, complemented
196#1592C2211yescharacteristic, complemented
197#1592C2211yescharacteristic, complemented
198#1584C2211yescharacteristic, complemented
199#1584C2211yescharacteristic, complemented
200#1583C2211yescharacteristic
201#1583C2211yescharacteristic, complemented
202#1581C2211yescharacteristic
203#1581C2211yescharacteristic, complemented
204#1581C2211yescharacteristic, complemented
205#1581C2211yescharacteristic, complemented
206SD16⋊C8C2211yescharacteristic, complemented
207SD16⋊C8C2211yescharacteristic, complemented
208#1573C2211yescharacteristic, complemented
209C2×#335C2211yescharacteristic, complemented
210#1552C2211yescharacteristic, complemented
211#1551C2211yescharacteristic
212C2×#332C2211yescharacteristic, complemented
213C2×#332C2211yescharacteristic, complemented
214#1490C2211yescharacteristic
215#1483C2211yescharacteristic
216#1483C2211yescharacteristic, complemented
217#1483C2211yescharacteristic, complemented
218#1451C2211yescharacteristic, complemented
219C2×#137—21no—
220C2×#137—21no—
221C2×AGL(1,ℤ/8)—21no—
222C2×#135—21no—
223C22×SD16—21no—
224C22×M16—21no—
225#563—41no—
226#563—41no—
227#557C2311yescharacteristic
228#557C2311yescharacteristic
229#556C2311yescharacteristic
230#556C2311yescharacteristic
231#556C2311yescharacteristic
232#555C2311yescharacteristic
233#554—21no—
234#554—21no—
235#554—21no—
236#554C2311yescharacteristic
237#553—21no—
238#553—21no—
239#553—21no—
240#553—21no—
241#552—21no—
242#551—41no—
243#550C2311yescharacteristic
244D4×Q8—21no—
245D4×Q8—21no—
246D4×Q8C2311yescharacteristic
247D4×Q8C2311yescharacteristic
248D4×Q8C2311yescharacteristic
249#548—21no—
250#548—21no—
251#548—21no—
252#547C2311yescharacteristic
253#547C2311yescharacteristic
254#547C2311yescharacteristic
255#547C2311yescharacteristic
256#546—21no—
257#546—21no—
258#546—41no—
259D42—21no—
260D42C2311yescharacteristic
261#544—21no—
262#544—21no—
263#542—21no—
264#542—21no—
265#542—21no—
266#541—21no—
267#541—21no—
268#540—21no—
269#539—41no—
270#539—41no—
271#539—41no—
272#538—41no—
273#536—21no—
274#536—21no—
275#533C2311yescharacteristic
276#532C2311yescharacteristic
277C2×C4⋊Q8C2311yescharacteristic
278C2×C4⋊Q8C2311yescharacteristic
279#529C2311yescharacteristic
280#529C2311yescharacteristic
281#529C2311yescharacteristic
282#525—21no—
283#525—21no—
284C2×C22⋊Q8—21no—
285C2×#121—21no—
286#520—21no—
287#518—21no—
288C2×C4×D4C2311yescharacteristic
289#501—21no—
290#501—21no—
291#501—41no—
292#500C2311yescharacteristic
293#500C2311yescharacteristic
294#499—21no—
295#499D411yescharacteristic
296#498C2311yescharacteristic
297#498C2311yescharacteristic
298#498C2311yescharacteristic
299#498C2311yescharacteristic
300#498C2311yescharacteristic
301#497—21no—
302#497—21no—
303#495—21no—
304#495D411yescharacteristic
305#494C2311yescharacteristic
306#494C2311yescharacteristic
307#492C2311yescharacteristic
308#491—21no—
309#491—21no—
310#490—21no—
311#489—21no—
312#489—21no—
313#489—21no—
314#489—41no—
315#488—21no—
316#488D411yescharacteristic
317#488D411yescharacteristic
318#487—21no—
319#487—21no—
320#487—21no—
321#487—21no—
322#487C2311yescharacteristic
323#487C2311yescharacteristic
324#487C2311yescharacteristic
325#487C2311yescharacteristic
326#487C2311yescharacteristic
327#487C2311yescharacteristic
328#487C2311yescharacteristic
329#487C2311yescharacteristic
330#487C2311yescharacteristic
331#486—21no—
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#484—21no—
344#484—21no—
345#484D411yescharacteristic
346#483—21no—
347#483—21no—
348#483—21no—
349#483—21no—
350#482—21no—
351#482—21no—
352#482—21no—
353#482—21no—
354#482—21no—
355#481—21no—
356#481—21no—
357#481—21no—
358#481—21no—
359#481—21no—
360#481—21no—
361#481D411yescharacteristic
362#480—21no—
363#479—21no—
364#479—21no—
365#479—21no—
366#479—21no—
367#479—21no—
368#478—21no—
369#478—21no—
370#478—21no—
371#478—21no—
372#478—21no—
373#478D411yescharacteristic
374#478D411yescharacteristic
375#477—21no—
376#477—21no—
377#477C2311yescharacteristic
378#477C2311yescharacteristic
379#476—21no—
380#476—21no—
381#476—21no—
382#476C2311yescharacteristic
383#476C2311yescharacteristic
384#475—21no—
385#475—21no—
386#475C2311yescharacteristic
387#475C2311yescharacteristic
388#475C2311yescharacteristic
389#475C2311yescharacteristic
390#474—21no—
391#474—21no—
392#474—21no—
393#474C2311yescharacteristic
394#474C2311yescharacteristic
395#474C2311yescharacteristic
396#474C2311yescharacteristic
397#474C2311yescharacteristic
398#474C2311yescharacteristic
399#474C2311yescharacteristic
400#474C2311yescharacteristic
401#470—21no—
402#470—21no—
403#470—21no—
404#470—21no—
405#469—21no—
406#469—21no—
407#469—21no—
408#468—21no—
409#468—21no—
410#468—21no—
411#468—21no—
412#468—21no—
413#468—21no—
414#468—21no—
415#467—21no—
416#467—21no—
417#467—21no—
418#467—21no—
419#467D411yescharacteristic
420#466—21no—
421#466—21no—
422#466—21no—
423#466D411yescharacteristic
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#465D411yescharacteristic
434#465D411yescharacteristic
435#464—21no—
436#464—21no—
437#464—21no—
438#464—21no—
439#464—21no—
440#464—21no—
441#463—21no—
442#463—21no—
443#463—21no—
444#463—21no—
445#463D411yescharacteristic
446#463D411yescharacteristic
447#462—21no—
448#462—21no—
449#462—21no—
450#462—21no—
451#462C2311yescharacteristic
452#462C2311yescharacteristic
453#462C2311yescharacteristic
454#462C2311yescharacteristic
455#461—21no—
456#461—21no—
457#461—21no—
458#461—21no—
459#461C2311yescharacteristic
460#461C2311yescharacteristic
461#461C2311yescharacteristic
462#461C2311yescharacteristic
463#461C2311yescharacteristic
464#461C2311yescharacteristic
465#461C2311yescharacteristic
466#461C2311yescharacteristic
467#460—21no—
468#460C2311yescharacteristic
469#460C2311yescharacteristic
470#459—21no—
471#459C2311yescharacteristic
472#459C2311yescharacteristic
473#452—21no—
474#452—21no—
475#452—21no—
476#452—21no—
477#452—21no—
478#452—21no—
479#451—21no—
480#451—21no—
481#451—21no—
482#451—21no—
483#451—21no—
484#450—21no—
485#450—21no—
486#450—21no—
487#450D411yescharacteristic
488#449—21no—
489#449—21no—
490#449—21no—
491#449—21no—
492#448—21no—
493#448—21no—
494#448—21no—
495#448—21no—
496#448—21no—
497#447—21no—
498#447D411yescharacteristic
499#446C2311yescharacteristic
500#446C2311yescharacteristic
501#446C2311yescharacteristic
502C8×Q8C2311yescharacteristic
503C8×Q8C2311yescharacteristic
504C8×Q8C2311yescharacteristic
505#442—21no—
506#441—21no—
507#441—21no—
508#440—21no—
509#440—21no—
510#440—21no—
511C4×Q16—21no—
512C4×Q16—21no—
513C4×Q16C2311yescharacteristic
514C4×SD16—21no—
515C4×SD16—21no—
516C4×SD16—21no—
517C4×SD16—21no—
518C4×SD16—21no—
519C4×SD16C2311yescharacteristic
520C4×SD16C2311yescharacteristic
521C4×SD16C2311yescharacteristic
522C4×SD16C2311yescharacteristic
523C4×D8—21no—
524C4×D8C2311yescharacteristic
525C4×D8C2311yescharacteristic
526C4×D8C2311yescharacteristic
527#436—21no—
528#436—21no—
529#436C2311yescharacteristic
530#436C2311yescharacteristic
531#436C2311yescharacteristic
532#436C2311yescharacteristic
533#436C2311yescharacteristic
534#436C2311yescharacteristic
535#436C2311yescharacteristic
536#435—21no—
537#435—21no—
538#435—21no—
539C8×D4—21no—
540C8×D4—21no—
541C8×D4—21no—
542C8×D4C2311yescharacteristic
543C8×D4C2311yescharacteristic
544C8×D4C2311yescharacteristic
545#433—21no—
546#433—21no—
547#433—21no—
548#432C2311yescharacteristic
549#431C2311yescharacteristic
550#428—21no—
551#428—21no—
552#428—21no—
553#428—41no—
554#427—21no—
555C2×#107—21no—
556#424—21no—
557#424—21no—
558C2×C4⋊C8C2311yescharacteristic
559C2×C4⋊C8C2311yescharacteristic
560C2×C4⋊C8C2311yescharacteristic
561#419—21no—
562#419—21no—
563#418—21no—
564#418—21no—
565#417—21no—
566#417—21no—
567#417—21no—
568#417—21no—
569#417—41no—
570#416—21no—
571C2×#103—21no—
572C2×#103—21no—
573C2×#103—21no—
574C2×#103—21no—
575C2×#103—21no—
576C2×#102—21no—
577C2×#102—21no—
578C2×C22⋊C8—21no—
579#405—21no—
580C4×M16C2311yescharacteristic
581C2×C4×C8C2311yescharacteristic
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#335C2311yescharacteristic
585#335C2311yescharacteristic
586#335C2311yescharacteristic
587#335C2311yescharacteristic
588#334C2311yescharacteristic
589#334C2311yescharacteristic
590#333C2311yescharacteristic
591#333C2311yescharacteristic
592#332C2311yescharacteristic
593#332C2311yescharacteristic
594#332C2311yescharacteristic
595#332C2311yescharacteristic
596#332C2311yescharacteristic
597#332C2311yescharacteristic
598#332C2311yescharacteristic
599#332C2311yescharacteristic
600#332C2311yescharacteristic
601#332C2311yescharacteristic
602#332C2311yescharacteristic
603#332C2311yescharacteristic
604#331C2311yescharacteristic
605#331C2311yescharacteristic
606Q8⋊C8C2311yescharacteristic
607Q8⋊C8C2311yescharacteristic
608Q8⋊C8C2311yescharacteristic
609Q8⋊C8C2311yescharacteristic
610Q8⋊C8C2311yescharacteristic
611Q8⋊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
625#322C2311yescharacteristic
626C2×#41—21no—
627C2×#41—21no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—21no—
631C2×#41—21no—
632C22×Q8—21no—
633C22×Q8—21no—
634C22×Q8—21no—
635C22×Q8—21no—
636C22×Q8—21no—
637C22×D4—21no—
638C22×D4—21no—
639C22×D4—41no—
640C22×D4C2×D411yescharacteristic
641C23×C4—21no—
642#137—82no—
643#137—82no—
644AGL(1,ℤ/8)—82no—
645#135—82no—
646C2×Q16—21no—
647C2×Q16—21no—
648C2×Q16—21no—
649C2×Q16—21no—
650C2×Q16—21no—
651C2×Q16—21no—
652C2×Q16—21no—
653C2×Q16—21no—
654C2×Q16C2×D411yescharacteristic
655C2×SD16—21no—
656C2×SD16—21no—
657C2×SD16—21no—
658C2×SD16—21no—
659C2×SD16—21no—
660C2×SD16—21no—
661C2×SD16—21no—
662C2×SD16—21no—
663C2×SD16—21no—
664C2×SD16—21no—
665C2×SD16—21no—
666C2×SD16—21no—
667C2×SD16—82no—
668C2×SD16C2×D411yescharacteristic
669C2×SD16C2×D411yescharacteristic
670C2×SD16C2×D411yescharacteristic
671C2×SD16C2×D411yescharacteristic
672C2×D8—21no—
673C2×D8—21no—
674C2×D8C2×D411yescharacteristic
675C2×D8C2×D411yescharacteristic
676C2×D8C2×D411yescharacteristic
677C2×M16—21no—
678C2×M16—21no—
679C2×M16—21no—
680C2×M16—21no—
681C2×M16—21no—
682C2×M16—21no—
683C2×M16—21no—
684C2×M16—21no—
685C2×M16—82no—
686C22×C8—21no—
687C22×C8—21no—
688C22×C8—21no—
689C22×C8—21no—
690C22×C8—21no—
691C22×C8—21no—
692C22×C8C2×D411yescharacteristic
693C22×C8C2×D411yescharacteristic
694C4⋊Q8—21no—
695C4⋊Q8—21no—
696C4⋊Q8—21no—
697C4⋊Q8—21no—
698C4⋊Q8—21no—
699C4⋊Q8—21no—
700C4⋊Q8—21no—
701C4⋊Q8—21no—
702C4⋊Q8—21no—
703C4⋊Q8—21no—
704C4⋊Q8—21no—
705C4⋊Q8—41no—
706C4⋊Q8—41no—
707C4⋊Q8C2411yescharacteristic
708C4⋊Q8C2411yescharacteristic
709C4⋊Q8C2411yescharacteristic
710C4⋊Q8C2411yescharacteristic
711C4⋊Q8C2411yescharacteristic
712C4⋊Q8C2411yescharacteristic
713C4⋊Q8C2411yescharacteristic
714#127—21no—
715#127C2411yescharacteristic
716#126—21no—
717#126—21no—
718#126—21no—
719#126—41no—
720#126—41no—
721#126—41no—
722#126—41no—
723#126—41no—
724#126—41no—
725#126—41no—
726#126—41no—
727#126—41no—
728#125—21no—
729#125—21no—
730#125—21no—
731#125—21no—
732#125—41no—
733#125—41no—
734#125—41no—
735#125—41no—
736#125—41no—
737#125—41no—
738#125—41no—
739#125C2×D411yescharacteristic
740#125C2×D411yescharacteristic
741#125C2×D411yescharacteristic
742#124—21no—
743#124—21no—
744#124—21no—
745#124—21no—
746#124—41no—
747#124—41no—
748#124—41no—
749#124—41no—
750#124C2×D411yescharacteristic
751#124C2×D411yescharacteristic
752#124C2×D411yescharacteristic
753#123—21no—
754#123—21no—
755#123—21no—
756#123—41no—
757#123—41no—
758#123—41no—
759#123—41no—
760#123—41no—
761#123—41no—
762#123—41no—
763#123—41no—
764#123—41no—
765#123—41no—
766#123—41no—
767#123—41no—
768#123—41no—
769C22⋊Q8—21no—
770C22⋊Q8—21no—
771C22⋊Q8—21no—
772C22⋊Q8—21no—
773C22⋊Q8—21no—
774C22⋊Q8—21no—
775C22⋊Q8—21no—
776C22⋊Q8—21no—
777C22⋊Q8—21no—
778C22⋊Q8—21no—
779C22⋊Q8—21no—
780C22⋊Q8—21no—
781C22⋊Q8—21no—
782C22⋊Q8—41no—
783C22⋊Q8—41no—
784C22⋊Q8—41no—
785C22⋊Q8—41no—
786C22⋊Q8—41no—
787C22⋊Q8—41no—
788C22⋊Q8—41no—
789C22⋊Q8—41no—
790C22⋊Q8—41no—
791C22⋊Q8—41no—
792C22⋊Q8—41no—
793C22⋊Q8—41no—
794C22⋊Q8—41no—
795C22⋊Q8—41no—
796C22⋊Q8—41no—
797C22⋊Q8—41no—
798C22⋊Q8—41no—
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—41no—
814#121—41no—
815#121—41no—
816#121—41no—
817#121—41no—
818#121—41no—
819#121—41no—
820#121—41no—
821#121C2×D411yescharacteristic
822#121C2×D411yescharacteristic
823#121C2×D411yescharacteristic
824#120—41no—
825#120—41no—
826#120—41no—
827#120—41no—
828C4×Q8—21no—
829C4×Q8—21no—
830C4×Q8—21no—
831C4×Q8—21no—
832C4×Q8—21no—
833C4×Q8—21no—
834C4×Q8—21no—
835C4×Q8—21no—
836C4×Q8—21no—
837C4×Q8C2411yescharacteristic
838C4×Q8C2411yescharacteristic
839C4×Q8C2411yescharacteristic
840C4×D4—21no—
841C4×D4—21no—
842C4×D4—21no—
843C4×D4—21no—
844C4×D4—21no—
845C4×D4—21no—
846C4×D4—21no—
847C4×D4—21no—
848C4×D4—21no—
849C4×D4—21no—
850C4×D4—21no—
851C4×D4—21no—
852C4×D4—41no—
853C4×D4—41no—
854C4×D4—41no—
855C4×D4—41no—
856C4×D4—41no—
857C4×D4—41no—
858C4×D4—41no—
859C4×D4—41no—
860C4×D4—41no—
861C4×D4—41no—
862C4×D4C2×D411yescharacteristic
863C4×D4C2×D411yescharacteristic
864C4×D4C2411yescharacteristic
865C4×D4C2411yescharacteristic
866C4×D4C2411yescharacteristic
867C4×D4C2411yescharacteristic
868C4×D4C2411yescharacteristic
869#117—21no—
870#117—21no—
871#117—21no—
872#117—21no—
873#117—21no—
874#117—21no—
875#117—21no—
876#117—21no—
877#117—21no—
878#117—41no—
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—41no—
889C2×C4⋊C4C2×D411yescharacteristic
890C2×C22⋊C4—21no—
891C2×C22⋊C4—41no—
892C2×C22⋊C4—41no—
893C2×C22⋊C4—41no—
894C2×C42C2411yescharacteristic
895#107—21no—
896#107—21no—
897#107—21no—
898#107—21no—
899#107—21no—
900#107—21no—
901#107—21no—
902#107—21no—
903#107—21no—
904#107—21no—
905#107—41no—
906#107—41no—
907#107C2×D411yescharacteristic
908#107C2×D411yescharacteristic
909#107C2×D411yescharacteristic
910#107C2×D411yescharacteristic
911#106—21no—
912#106—21no—
913#106—21no—
914#106—21no—
915#106—21no—
916#106—21no—
917#106—21no—
918#106—21no—
919#106—21no—
920#106—21no—
921#106—21no—
922#106—21no—
923#106—41no—
924#106—41no—
925#106C2×D411yescharacteristic
926#106C2×D411yescharacteristic
927#106C2×D411yescharacteristic
928#106C2×D411yescharacteristic
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⋊C8C2×D411yescharacteristic
939C4⋊C8C2×D411yescharacteristic
940C4⋊C8C2411yescharacteristic
941C4⋊C8C2411yescharacteristic
942C4⋊C8C2411yescharacteristic
943C4⋊C8C2411yescharacteristic
944C4⋊C8C2411yescharacteristic
945C4⋊C8C2411yescharacteristic
946C4⋊C8C2411yescharacteristic
947C4⋊C8C2411yescharacteristic
948#103—21no—
949#103—21no—
950#103—21no—
951#103—21no—
952#103—21no—
953#103—21no—
954#103—21no—
955#103—21no—
956#103—21no—
957#103—21no—
958#103—21no—
959#103—21no—
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—21no—
979#103—21no—
980#103—41no—
981#103—41no—
982#103C2×D411yescharacteristic
983#103C2×D411yescharacteristic
984#103C2×D411yescharacteristic
985#103C2×D411yescharacteristic
986#103C2×D411yescharacteristic
987#103C2×D411yescharacteristic
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—41no—
1009#102—41no—
1010#102C2×D411yescharacteristic
1011#102C2×D411yescharacteristic
1012#102C2×D411yescharacteristic
1013#102C2×D411yescharacteristic
1014#102C2×D411yescharacteristic
1015#102C2×D411yescharacteristic
1016#102C2×D411yescharacteristic
1017#102C2×D411yescharacteristic
1018#102C2×D411yescharacteristic
1019#102C2×D411yescharacteristic
1020C22⋊C8—21no—
1021C22⋊C8—21no—
1022C22⋊C8—21no—
1023C22⋊C8—21no—
1024C22⋊C8—21no—
1025C22⋊C8—21no—
1026C22⋊C8—21no—
1027C22⋊C8—21no—
1028C22⋊C8—21no—
1029C22⋊C8—21no—
1030C22⋊C8—21no—
1031C22⋊C8C2×D411yescharacteristic
1032C22⋊C8C2×D411yescharacteristic
1033#97—21no—
1034#97—21no—
1035#97—21no—
1036#97—21no—
1037#97—21no—
1038C4×C8—21no—
1039C4×C8—21no—
1040C4×C8—21no—
1041C4×C8C2×D411yescharacteristic
1042C4×C8C2×D411yescharacteristic
1043C4×C8C2411yescharacteristic
1044C4×C8C2411yescharacteristic
1045C4×C8C2411yescharacteristic
1046C4×C8C2411yescharacteristic
1047C4×C8C2411yescharacteristic
1048C4×C8C2411yescharacteristic
1049C24—21no—
1050C24—41no—
1051#41—42no—
1052#41—82no—
1053#41—81no—
1054#41—81no—
1055#41—81no—
1056#41—81no—
1057#41—81no—
1058#41—81no—
1059#41—81no—
1060#41—81no—
1061#41—81no—
1062C2×Q8—21no—
1063C2×Q8—21no—
1064C2×Q8—21no—
1065C2×Q8—21no—
1066C2×Q8—21no—
1067C2×Q8—21no—
1068C2×Q8—21no—
1069C2×Q8—41no—
1070C2×Q8—41no—
1071C2×Q8—41no—
1072C2×Q8—41no—
1073C2×Q8—41no—
1074C2×Q8—81no—
1075C2×Q8—81no—
1076C2×Q8—81no—
1077C2×Q8—81no—
1078C2×Q8—81no—
1079C2×Q8—81no—
1080C2×Q8—81no—
1081C2×Q8—81no—
1082C2×Q8—81no—
1083C2×Q8—81no—
1084C2×Q8C22×D411yescharacteristic
1085C2×Q8C22×D411yescharacteristic
1086C2×Q8C22×D411yescharacteristic
1087C2×D4—21no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—41no—
1095C2×D4—41no—
1096C2×D4—41no—
1097C2×D4—41no—
1098C2×D4—41no—
1099C2×D4—41no—
1100C2×D4—42no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C2×D4—81no—
1108C2×D4—81no—
1109C2×D4—81no—
1110C2×D4—162no—
1111C2×D4C22×D411yescharacteristic
1112C2×D4C22×D411yescharacteristic
1113C2×D4C22×D411yescharacteristic
1114C2×D4C22×D411yescharacteristic
1115C2×D4C22×D411yescharacteristic
1116C22×C4—21no—
1117C22×C4—21no—
1118C22×C4—21no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—41no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—41no—
1131C22×C4—41no—
1132C22×C4—41no—
1133C22×C4—41no—
1134C22×C4—41no—
1135C22×C4—41no—
1136C22×C4—81no—
1137C22×C4—81no—
1138C22×C4C22×D411yescharacteristic
1139C22×C4C22×D411yescharacteristic
1140C22×C4H(5,𝔽2)11yescharacteristic
1141Q16—41no—
1142Q16—81no—
1143Q16—81no—
1144Q16—81no—
1145Q16—81no—
1146Q16—81no—
1147Q16—81no—
1148Q16—81no—
1149Q16—81no—
1150SD16—41no—
1151SD16—41no—
1152SD16—41no—
1153SD16—41no—
1154SD16—42no—
1155SD16—42no—
1156SD16—42no—
1157SD16—81no—
1158SD16—81no—
1159SD16—81no—
1160SD16—81no—
1161SD16—81no—
1162SD16—81no—
1163SD16—81no—
1164SD16—81no—
1165SD16—81no—
1166D8—41no—
1167D8—41no—
1168D8—41no—
1169D8—81no—
1170D8—81no—
1171M16—42no—
1172M16—42no—
1173M16—42no—
1174M16—81no—
1175M16—81no—
1176M16—81no—
1177M16—81no—
1178M16—81no—
1179C2×C8—21no—
1180C2×C8—21no—
1181C2×C8—21no—
1182C2×C8—21no—
1183C2×C8—21no—
1184C2×C8—21no—
1185C2×C8—21no—
1186C2×C8—21no—
1187C2×C8—21no—
1188C2×C8—21no—
1189C2×C8—41no—
1190C2×C8—41no—
1191C2×C8—81no—
1192C2×C8—81no—
1193C2×C8—81no—
1194C2×C8—81no—
1195C2×C8—81no—
1196C2×C8—81no—
1197C2×C8C22×D411yescharacteristic
1198C2×C8C22×D411yescharacteristic
1199C2×C8C22×D411yescharacteristic
1200C2×C8C22×D411yescharacteristic
1201C2×C8C22×D411yescharacteristic
1202C2×C8C22×D411yescharacteristic
1203C2×C8C22×D411yescharacteristic
1204C2×C8C22×D411yescharacteristic
1205C4⋊C4—21no—
1206C4⋊C4—21no—
1207C4⋊C4—21no—
1208C4⋊C4—21no—
1209C4⋊C4—21no—
1210C4⋊C4—21no—
1211C4⋊C4—21no—
1212C4⋊C4—21no—
1213C4⋊C4—21no—
1214C4⋊C4—21no—
1215C4⋊C4—21no—
1216C4⋊C4—21no—
1217C4⋊C4—21no—
1218C4⋊C4—21no—
1219C4⋊C4—21no—
1220C4⋊C4—21no—
1221C4⋊C4—21no—
1222C4⋊C4—21no—
1223C4⋊C4—21no—
1224C4⋊C4—21no—
1225C4⋊C4—21no—
1226C4⋊C4—21no—
1227C4⋊C4—21no—
1228C4⋊C4—21no—
1229C4⋊C4—21no—
1230C4⋊C4—21no—
1231C4⋊C4—21no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4C22×D411yescharacteristic
1257C4⋊C4C22×D411yescharacteristic
1258C4⋊C4C22×D411yescharacteristic
1259C4⋊C4C22×D411yescharacteristic
1260C4⋊C4C22×D411yescharacteristic
1261C4⋊C4C22×D411yescharacteristic
1262C4⋊C4C22×D411yescharacteristic
1263C4⋊C4C22×D411yescharacteristic
1264C22⋊C4—21no—
1265C22⋊C4—21no—
1266C22⋊C4—21no—
1267C22⋊C4—21no—
1268C22⋊C4—21no—
1269C22⋊C4—21no—
1270C22⋊C4—21no—
1271C22⋊C4—21no—
1272C22⋊C4—21no—
1273C22⋊C4—21no—
1274C22⋊C4—21no—
1275C22⋊C4—21no—
1276C22⋊C4—21no—
1277C22⋊C4—21no—
1278C22⋊C4—21no—
1279C22⋊C4—21no—
1280C22⋊C4—21no—
1281C22⋊C4—21no—
1282C22⋊C4—21no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C42—21no—
1305C42—21no—
1306C42—21no—
1307C42—41no—
1308C42—41no—
1309C42—41no—
1310C42—41no—
1311C42—41no—
1312C42—41no—
1313C42—41no—
1314C42C22×D411yescharacteristic
1315C42C22×D411yescharacteristic
1316C42H(5,𝔽2)11yescharacteristic
1317C42C2511yescharacteristic
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—42no—
1324C23—41no—
1325C23—81no—
1326C23—81no—
1327C23—82no—
1328C23—161no—
1329C23—161no—
1330C23D4211yescharacteristic
1331Q8—21no—
1332Q8—21no—
1333Q8—21no—
1334Q8—21no—
1335Q8—21no—
1336Q8—21no—
1337Q8—41no—
1338Q8—41no—
1339Q8—41no—
1340Q8—41no—
1341Q8—41no—
1342Q8—41no—
1343Q8—41no—
1344Q8—41no—
1345Q8—41no—
1346Q8—41no—
1347Q8—41no—
1348Q8—41no—
1349Q8—81no—
1350Q8—161no—
1351Q8—161no—
1352Q8—161no—
1353Q8—161no—
1354Q8—161no—
1355D4—21no—
1356D4—21no—
1357D4—21no—
1358D4—21no—
1359D4—21no—
1360D4—21no—
1361D4—21no—
1362D4—21no—
1363D4—21no—
1364D4—21no—
1365D4—42no—
1366D4—42no—
1367D4—42no—
1368D4—41no—
1369D4—41no—
1370D4—41no—
1371D4—41no—
1372D4—81no—
1373D4—81no—
1374D4—82no—
1375D4—82no—
1376D4—82no—
1377D4—161no—
1378D4—161no—
1379D4—161no—
1380D4—161no—
1381D4—161no—
1382D4—161no—
1383D4—161no—
1384C2×C4—22no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4—41no—
1408C2×C4—41no—
1409C2×C4—41no—
1410C2×C4—41no—
1411C2×C4—41no—
1412C2×C4—41no—
1413C2×C4—41no—
1414C2×C4—41no—
1415C2×C4—41no—
1416C2×C4—41no—
1417C2×C4—81no—
1418C2×C4—81no—
1419C2×C4—81no—
1420C2×C4—82no—
1421C2×C4—161no—
1422C2×C4—161no—
1423C2×C4—161no—
1424C2×C4—161no—
1425C2×C4—161no—
1426C2×C4—161no—
1427C2×C4—161no—
1428C2×C4—161no—
1429C2×C4—161no—
1430C2×C4—161no—
1431C2×C4—161no—
1432C2×C4D4211yescharacteristic
1433C2×C4D4211yescharacteristic
1434C2×C4D4211yescharacteristic
1435C2×C4C23×D411yescharacteristic
1436C2×C4C23×D411yescharacteristic
1437C2×C4C2×H(5,𝔽2)11yescharacteristic
1438C8—21no—
1439C8—21no—
1440C8—21no—
1441C8—21no—
1442C8—21no—
1443C8—21no—
1444C8—21no—
1445C8—21no—
1446C8—41no—
1447C8—41no—
1448C8—41no—
1449C8—41no—
1450C8—41no—
1451C8—41no—
1452C8—41no—
1453C8—41no—
1454C8—41no—
1455C8—41no—
1456C22—21no—
1457C22—21no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—81no—
1474C22—81no—
1475C22—81no—
1476C22—162no—
1477C22—322no—
1478C22#328912yes—
1479C22C2×D4211yescharacteristic
1480C4—21no—
1481C4—21no—
1482C4—21no—
1483C4—21no—
1484C4—41no—
1485C4—41no—
1486C4—41no—
1487C4—41no—
1488C4—41no—
1489C4—41no—
1490C4—41no—
1491C4—41no—
1492C4—41no—
1493C4—41no—
1494C4—41no—
1495C4—81no—
1496C4—81no—
1497C4—81no—
1498C4—81no—
1499C4—81no—
1500C4—81no—
1501C4—81no—
1502C4#358411yescharacteristic
1503C4#358511yescharacteristic
1504C4#358511yescharacteristic
1505C4#358611yescharacteristic
1506C2—22no—
1507C2—81no—
1508C2—81no—
1509C2—81no—
1510C2—81no—
1511C2—81no—
1512C2—161no—
1513C2#6106211yescharacteristic
1514C2#6109211yescharacteristic
1515C2C2×#328911yescharacteristic
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. #62553C2semidirect
2. #62262C2semidirect
3. #62199C2semidirect
4. #62054C2semidirect
5. #20267C2semidirect
6. #20252C2semidirect
7. #20238C2semidirect
8. #20233C2semidirect
9. #20227C2semidirect
10. #20223C2semidirect
11. #20200C2semidirect
12. #20198C2semidirect
13. #20194C2semidirect
14. #20178C2semidirect
15. #20168C2semidirect
16. #20162C2semidirect
17. #19832C2semidirect
18. #19822C2semidirect
19. #19779C2semidirect
20. #19777C2semidirect
21. #19686C2semidirect
22. #19589C2semidirect
23. #19583C2semidirect
24. #19229C2semidirect
25. C2×#1699C2semidirect
26. #18733C2semidirect
27. #18726C2semidirect
28. #18587C2semidirect
29. #18570C2semidirect
30. #18092C2semidirect
31. #17938C2semidirect
33. #3552C22semidirect
40. #3374C22semidirect
42. #3367C22semidirect
43. #3367C22semidirect
44. #3364C22semidirect
45. #3359C22semidirect
46. #3359C22semidirect
58. #3330C22semidirect
60. #3328C22semidirect
69. #3302C22semidirect
74. #3298C22semidirect
77. #3283C22semidirect
80. #3276C22semidirect
87. #3248C22semidirect
96. #3218C22semidirect
97. #3209C22semidirect
103. #3165C22semidirect
106. C2×#487C22semidirect
117. #2994C22semidirect
118. #2966C22semidirect
120. #1720C22semidirect
121. #1720C22semidirect
122. #1719C22semidirect
123. #1719C22semidirect
124. #1718C22semidirect
125. #1718C22semidirect
126. #1716C22semidirect
127. #1716C22semidirect
128. #1702C22semidirect
129. #1701C22semidirect
130. #1700C22semidirect
135. #1699C22semidirect
136. #1699C22semidirect
137. #1699C22semidirect
138. #1699C22semidirect
139. #1699C22semidirect
140. #1692C22semidirect
141. #1692C22semidirect
142. #1691C22semidirect
143. #1691C22semidirect
144. #1690C22semidirect
145. #1689C22semidirect
146. #1686C22semidirect
147. #1685C22semidirect
148. #1684C22semidirect
149. #1683C22semidirect
150. #1682C22semidirect
151. #1682C22semidirect
152. #1681C22semidirect
153. #1681C22semidirect
154. #1680C22semidirect
155. #1679C22semidirect
156. #1672C22semidirect
157. #1671C22semidirect
158. #1670C22semidirect
159. #1669C22semidirect
160. #1654C22semidirect
161. #1654C22semidirect
162. #1654C22semidirect
163. #1653C22semidirect
166. #1652C22semidirect
167. #1651C22semidirect
168. #1650C22semidirect
169. #1649C22semidirect
170. #1649C22semidirect
171. #1649C22semidirect
172. #1648C22semidirect
175. #1647C22semidirect
184. #1638C22semidirect
185. #1637C22semidirect
186. #1636C22semidirect
187. #1635C22semidirect
188. #1628C22semidirect
189. #1627C22semidirect
190. #1626C22semidirect
191. #1625C22semidirect
193. #1594C22semidirect
195. #1592C22semidirect
196. #1592C22semidirect
197. #1592C22semidirect
198. #1584C22semidirect
199. #1584C22semidirect
201. #1583C22semidirect
203. #1581C22semidirect
204. #1581C22semidirect
205. #1581C22semidirect
206. SD16⋊C8C22semidirect
207. SD16⋊C8C22semidirect
208. #1573C22semidirect
209. C2×#335C22semidirect
210. #1552C22semidirect
212. C2×#332C22semidirect
213. C2×#332C22semidirect
216. #1483C22semidirect
217. #1483C22semidirect
218. #1451C22semidirect

Maximal subgroups

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

subgroupindex
#625532
#622622
#621992
#620542
#202672
#202522
#202382
#202332
#202272
#202232
#202002
#201982
#201942
#201782
#201682
#201622
#198322
#198222
#197792
#197772
#196862
#195892
#195832
#192292
C2×#16992
#187332
#187262
#185872
#185702
#180922
#179382