Finite Group Databasebeta

← #6356269

Subgroups — #6356269

Order 512.

1529 conjugacy classes of subgroups.

The subgroup lattice has 1513 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62531C211yesmaximal, characteristic, complemented
2#60991C211yesmaximal, characteristic, complemented
3#60990C211yesmaximal, characteristic
4#60321C211yesmaximal, characteristic, complemented
5#19551C211yesmaximal, characteristic, complemented
6#19545C211yesmaximal, characteristic, complemented
7#19543C211yesmaximal, characteristic, complemented
8#19537C211yesmaximal, characteristic, complemented
9#19519C211yesmaximal, characteristic, complemented
10#19512C211yesmaximal, characteristic, complemented
11#19511C211yesmaximal, characteristic, complemented
12#19504C211yesmaximal, characteristic, complemented
13#19419C211yesmaximal, characteristic, complemented
14#19413C211yesmaximal, characteristic, complemented
15#19394C211yesmaximal, characteristic, complemented
16#19388C211yesmaximal, characteristic, complemented
17#19366C211yesmaximal, characteristic, complemented
18#19364C211yesmaximal, characteristic, complemented
19#19331C211yesmaximal, characteristic, complemented
20#19330C211yesmaximal, characteristic, complemented
21#19303C211yesmaximal, characteristic, complemented
22#19282C211yesmaximal, characteristic, complemented
23#19221C211yesmaximal, characteristic, complemented
24#19220C211yesmaximal, characteristic, complemented
25#19200C211yesmaximal, characteristic, complemented
26#19198C211yesmaximal, characteristic, complemented
27#19159C211yesmaximal, characteristic, complemented
28#19142C211yesmaximal, characteristic, complemented
29#17827C211yesmaximal, characteristic, complemented
30#17767C211yesmaximal, characteristic, complemented
31#17766C211yesmaximal, characteristic, complemented
32#3509C2211yescharacteristic
33#3508C2211yescharacteristic
34#3460C2211yescharacteristic
35#3365—21no—
36#3365—21no—
37#3304—21no—
38#3304—21no—
39#3296—21no—
40#3296—21no—
41#3296—21no—
42#3296—21no—
43#3254C2211yescharacteristic, complemented
44#3253C2211yescharacteristic
45#3252C2211yescharacteristic, complemented
46#3251C2211yescharacteristic
47#3248C2211yescharacteristic, complemented
48#3247C2211yescharacteristic
49#3246C2211yescharacteristic, complemented
50#3245C2211yescharacteristic
51#3242—21no—
52#3241—21no—
53#3235C2211yescharacteristic
54#3235C2211yescharacteristic
55#3233C2211yescharacteristic
56#3233C2211yescharacteristic
57#3229C2211yescharacteristic, complemented
58#3228C2211yescharacteristic
59#3228C2211yescharacteristic, complemented
60#3222—21no—
61#3220—21no—
62#3218C2211yescharacteristic
63#3217C2211yescharacteristic
64#3210C2211yescharacteristic
65#3210C2211yescharacteristic, complemented
66#3208C2211yescharacteristic, complemented
67#3206C2211yescharacteristic
68#3205C2211yescharacteristic
69#3201—21no—
70#3200—21no—
71#3199—21no—
72#3198—21no—
73#3179—21no—
74#3178—21no—
75#3176—21no—
76#3174—21no—
77#3170C2211yescharacteristic, complemented
78#3167C2211yescharacteristic
79#3167C2211yescharacteristic, complemented
80#3131C2211yescharacteristic
81#3131C2211yescharacteristic, complemented
82C2×#486C2211yescharacteristic, complemented
83#3126—21no—
84#3122—21no—
85#3121—21no—
86#3118—21no—
87#3116C2211yescharacteristic, complemented
88#3115C2211yescharacteristic
89#3110C2211yescharacteristic, complemented
90#3109C2211yescharacteristic
91#3107C2211yescharacteristic, complemented
92#3106C2211yescharacteristic
93#3101C2211yescharacteristic, complemented
94#3100C2211yescharacteristic
95#2994—21no—
96#2993C2211yescharacteristic
97#2993C2211yescharacteristic, complemented
98#2989C2211yescharacteristic
99#2988C2211yescharacteristic, complemented
100#2981C2211yescharacteristic
101#2981C2211yescharacteristic, complemented
102#2979—21no—
103#2977—21no—
104#2977—21no—
105#2972C2211yescharacteristic, complemented
106#2969—21no—
107#2966C2211yescharacteristic
108#2966C2211yescharacteristic, complemented
109#2965C2211yescharacteristic, complemented
110C8×#41C2211yescharacteristic
111#2935—21no—
112#2933—21no—
113#2933—21no—
114#2931C2211yescharacteristic
115#2931C2211yescharacteristic, complemented
116C2×#436C2211yescharacteristic, complemented
117#2925C2211yescharacteristic
118#2925C2211yescharacteristic
119#1704C2211yescharacteristic, complemented
120#1704C2211yescharacteristic, complemented
121#1703C2211yescharacteristic, complemented
122#1703C2211yescharacteristic, complemented
123#1703C2211yescharacteristic, complemented
124#1703C2211yescharacteristic, complemented
125#1703C2211yescharacteristic, complemented
126#1703C2211yescharacteristic, complemented
127#1702C2211yescharacteristic, complemented
128#1702C2211yescharacteristic, complemented
129#1701C2211yescharacteristic
130#1701C2211yescharacteristic
131#1701C2211yescharacteristic
132#1701C2211yescharacteristic
133#1701C2211yescharacteristic, complemented
134#1701C2211yescharacteristic, complemented
135#1700C2211yescharacteristic, complemented
136#1699C2211yescharacteristic, complemented
137#1699C2211yescharacteristic, complemented
138#1699C2211yescharacteristic, complemented
139#1698C2211yescharacteristic, complemented
140#1697C2211yescharacteristic
141#1697C2211yescharacteristic
142#1697C2211yescharacteristic, complemented
143#1692C2211yescharacteristic, complemented
144#1691C2211yescharacteristic, complemented
145#1691C2211yescharacteristic, complemented
146#1691C2211yescharacteristic, complemented
147#1686C2211yescharacteristic, complemented
148#1685C2211yescharacteristic
149#1685C2211yescharacteristic
150#1685C2211yescharacteristic, complemented
151#1682C2211yescharacteristic, complemented
152#1682C2211yescharacteristic, complemented
153#1681C2211yescharacteristic
154#1681C2211yescharacteristic
155#1681C2211yescharacteristic
156#1681C2211yescharacteristic
157#1681C2211yescharacteristic, complemented
158#1681C2211yescharacteristic, complemented
159#1680C2211yescharacteristic, complemented
160#1679C2211yescharacteristic, complemented
161#1679C2211yescharacteristic, complemented
162#1679C2211yescharacteristic, complemented
163#1678C2211yescharacteristic, complemented
164#1677C2211yescharacteristic
165#1677C2211yescharacteristic
166#1677C2211yescharacteristic, complemented
167#1676C2211yescharacteristic, complemented
168#1675C2211yescharacteristic, complemented
169#1675C2211yescharacteristic, complemented
170#1675C2211yescharacteristic, complemented
171#1672C2211yescharacteristic, complemented
172#1671C2211yescharacteristic, complemented
173#1671C2211yescharacteristic, complemented
174#1671C2211yescharacteristic, complemented
175#1670C2211yescharacteristic, complemented
176#1669C2211yescharacteristic, complemented
177#1669C2211yescharacteristic, complemented
178#1669C2211yescharacteristic, complemented
179#1666C2211yescharacteristic, complemented
180#1665C2211yescharacteristic
181#1665C2211yescharacteristic
182#1665C2211yescharacteristic, complemented
183#1572C2211yescharacteristic, complemented
184#1572C2211yescharacteristic, complemented
185#1572C2211yescharacteristic, complemented
186#1572C2211yescharacteristic, complemented
187#1571C2211yescharacteristic, complemented
188#1571C2211yescharacteristic, complemented
189#1568C2211yescharacteristic, complemented
190#1568C2211yescharacteristic, complemented
191#1566C2211yescharacteristic, complemented
192#1564C2211yescharacteristic, complemented
193#1564C2211yescharacteristic, complemented
194C2×#334C2211yescharacteristic, complemented
195#1561C2211yescharacteristic, complemented
196#1560C2211yescharacteristic, complemented
197#1559C2211yescharacteristic, complemented
198#1559C2211yescharacteristic, complemented
199#1559C2211yescharacteristic, complemented
200#1557C2211yescharacteristic, complemented
201#1556C2211yescharacteristic, complemented
202#1555C2211yescharacteristic, complemented
203#1554C2211yescharacteristic, complemented
204#1554C2211yescharacteristic, complemented
205#1554C2211yescharacteristic, complemented
206#1553C2211yescharacteristic
207#1552C2211yescharacteristic, complemented
208#1552C2211yescharacteristic, complemented
209#1551C2211yescharacteristic
210#1551C2211yescharacteristic, complemented
211#1550C2211yescharacteristic, complemented
212#1549C2211yescharacteristic, complemented
213#1547C2211yescharacteristic, complemented
214#1545C2211yescharacteristic, complemented
215#1544C2211yescharacteristic, complemented
216#1543C2211yescharacteristic
217#1542C2211yescharacteristic, complemented
218#1540C2211yescharacteristic
219C2×#131—21no—
220C2×#131—21no—
221C22×M16—21no—
222#559—21no—
223#559—21no—
224#557—21no—
225#557—21no—
226#556—21no—
227#556—21no—
228#552—21no—
229#552—21no—
230#552—21no—
231#552—21no—
232#550—21no—
233#550—21no—
234#546—21no—
235#546—21no—
236#546—21no—
237#546—21no—
238#544D411yescharacteristic
239#542—21no—
240#542D411yescharacteristic
241#542D411yescharacteristic
242#541—21no—
243#541—21no—
244#540—21no—
245#540—21no—
246#540—21no—
247#540D411yescharacteristic
248#540D411yescharacteristic
249#538—21no—
250#538—21no—
251#537D411yescharacteristic
252#536—21no—
253#535—21no—
254#535D411yescharacteristic
255#535D411yescharacteristic
256#533C2311yescharacteristic
257#533C2311yescharacteristic
258#533C2311yescharacteristic
259#533C2311yescharacteristic
260#533C2311yescharacteristic
261#533C2311yescharacteristic
262#532—21no—
263#532C2311yescharacteristic
264#532C2311yescharacteristic
265#532C2311yescharacteristic
266#532C2311yescharacteristic
267#532C2311yescharacteristic
268#532C2311yescharacteristic
269C2×C4⋊Q8C2311yescharacteristic
270C2×#127C2311yescharacteristic
271#529—21no—
272#529C2311yescharacteristic
273#529C2311yescharacteristic
274#525—21no—
275#525—21no—
276#519—21no—
277#518—21no—
278C4×#41C2311yescharacteristic
279C4×#41C2311yescharacteristic
280C2×C4×D4C2311yescharacteristic
281#501—21no—
282#501—21no—
283#500C2311yescharacteristic
284#499—21no—
285#499—21no—
286#498C2311yescharacteristic
287#498C2311yescharacteristic
288#497—21no—
289#496—21no—
290#494C2311yescharacteristic
291#493—21no—
292#492—21no—
293#492C2311yescharacteristic
294#492C2311yescharacteristic
295#491—21no—
296#490—21no—
297#490—21no—
298#490—21no—
299#488—21no—
300#488—21no—
301#488—21no—
302#488—21no—
303#488—21no—
304#488—21no—
305#487—21no—
306#487C2311yescharacteristic
307#487C2311yescharacteristic
308#487C2311yescharacteristic
309#487C2311yescharacteristic
310#486—21no—
311#486—21no—
312#486—21no—
313#486C2311yescharacteristic
314#486C2311yescharacteristic
315#486C2311yescharacteristic
316#486C2311yescharacteristic
317#486C2311yescharacteristic
318#486C2311yescharacteristic
319#485—21no—
320#485—21no—
321#485—21no—
322#485—21no—
323#484—21no—
324#483—21no—
325#483—21no—
326#483—21no—
327#482—21no—
328#482—21no—
329#482—21no—
330#482—21no—
331#482—21no—
332#482—21no—
333#482—21no—
334#482—21no—
335#482—21no—
336#482—21no—
337#482—21no—
338#482—21no—
339#481—21no—
340#480—21no—
341#479—21no—
342#479—21no—
343#478—21no—
344#478—21no—
345#478—21no—
346#478—21no—
347#478—21no—
348#478—21no—
349#477—21no—
350#477C2311yescharacteristic
351#477C2311yescharacteristic
352#476—21no—
353#476C2311yescharacteristic
354#476C2311yescharacteristic
355#476C2311yescharacteristic
356#476C2311yescharacteristic
357#476C2311yescharacteristic
358#476C2311yescharacteristic
359#475—21no—
360#475—21no—
361#475—21no—
362#475C2311yescharacteristic
363#475C2311yescharacteristic
364#474—21no—
365#474C2311yescharacteristic
366#474C2311yescharacteristic
367#474C2311yescharacteristic
368#474C2311yescharacteristic
369#474C2311yescharacteristic
370#474C2311yescharacteristic
371#470—21no—
372#469—21no—
373#469—21no—
374#469—21no—
375#468—21no—
376#468—21no—
377#468—21no—
378#468—21no—
379#467—21no—
380#467—21no—
381#467—21no—
382#466—21no—
383#466—21no—
384#466—21no—
385#465—21no—
386#465—21no—
387#465—21no—
388#465—21no—
389#465—21no—
390#465—21no—
391#465—21no—
392#465—21no—
393#464—21no—
394#464—21no—
395#464—21no—
396#464—21no—
397#464—21no—
398#464—21no—
399#463—21no—
400#463—21no—
401#462C2311yescharacteristic
402#462C2311yescharacteristic
403#461C2311yescharacteristic
404#461C2311yescharacteristic
405#461C2311yescharacteristic
406#461C2311yescharacteristic
407#461C2311yescharacteristic
408#461C2311yescharacteristic
409#460—21no—
410#460—21no—
411#460—21no—
412#460—21no—
413#460C2311yescharacteristic
414#460C2311yescharacteristic
415#459—21no—
416#459—21no—
417#459C2311yescharacteristic
418#459C2311yescharacteristic
419#459C2311yescharacteristic
420#459C2311yescharacteristic
421#459C2311yescharacteristic
422#459C2311yescharacteristic
423#452—21no—
424#452—21no—
425#452—21no—
426#452—21no—
427#452—21no—
428#452—21no—
429#451—21no—
430#450—21no—
431#450—21no—
432#450—21no—
433#450—21no—
434#450—21no—
435#449—21no—
436#449—21no—
437#448—21no—
438#448—21no—
439#448—21no—
440#447—21no—
441#447—21no—
442#447—21no—
443#447—21no—
444#447—21no—
445#446—21no—
446#446C2311yescharacteristic
447#446C2311yescharacteristic
448C8×Q8D411yescharacteristic
449C8×Q8D411yescharacteristic
450C8×Q8C2311yescharacteristic
451C8×Q8C2311yescharacteristic
452#442—21no—
453#442—21no—
454#442—21no—
455#441—21no—
456#440—21no—
457#440—21no—
458#440—21no—
459#440—21no—
460C4×Q16—21no—
461C4×Q16—21no—
462C4×Q16—21no—
463C4×SD16—21no—
464C4×SD16—21no—
465C4×SD16—21no—
466C4×SD16—21no—
467C4×SD16—21no—
468C4×SD16—21no—
469C4×SD16—21no—
470C4×SD16—21no—
471C4×D8—21no—
472C4×D8—21no—
473C4×D8—21no—
474#436—21no—
475#436—21no—
476#436—21no—
477#436—21no—
478#436—21no—
479#436—21no—
480#436—21no—
481#436C2311yescharacteristic
482#436C2311yescharacteristic
483#436C2311yescharacteristic
484#436C2311yescharacteristic
485#436C2311yescharacteristic
486#436C2311yescharacteristic
487#435—21no—
488#435—21no—
489#435—21no—
490#435—21no—
491#435—21no—
492#435—21no—
493#435—21no—
494#435—21no—
495#435—21no—
496#435—21no—
497#435—21no—
498#435—21no—
499C8×D4—21no—
500C8×D4—21no—
501C8×D4—21no—
502C8×D4—21no—
503C8×D4—21no—
504C8×D4—21no—
505C8×D4—21no—
506C8×D4—21no—
507C8×D4D411yescharacteristic
508C8×D4D411yescharacteristic
509C8×D4D411yescharacteristic
510C8×D4D411yescharacteristic
511C8×D4D411yescharacteristic
512C8×D4D411yescharacteristic
513C8×D4C2311yescharacteristic
514C8×D4C2311yescharacteristic
515C8×D4C2311yescharacteristic
516C8×D4C2311yescharacteristic
517C8×D4C2311yescharacteristic
518C8×D4C2311yescharacteristic
519#433—21no—
520#433—21no—
521#433—21no—
522#433—21no—
523#433—21no—
524#433—21no—
525#433—21no—
526#433—21no—
527#432C2311yescharacteristic
528#432C2311yescharacteristic
529#432C2311yescharacteristic
530#432C2311yescharacteristic
531#432C2311yescharacteristic
532#432C2311yescharacteristic
533#431—21no—
534#431—21no—
535#431C2311yescharacteristic
536#431C2311yescharacteristic
537#431C2311yescharacteristic
538#431C2311yescharacteristic
539#431C2311yescharacteristic
540#431C2311yescharacteristic
541#431C2311yescharacteristic
542#431C2311yescharacteristic
543#424—21no—
544#424—21no—
545#423C2311yescharacteristic
546#423C2311yescharacteristic
547#423C2311yescharacteristic
548#423C2311yescharacteristic
549C2×C4⋊C8—21no—
550C2×C4⋊C8C2311yescharacteristic
551C2×C4⋊C8C2311yescharacteristic
552C2×C4⋊C8C2311yescharacteristic
553#416—21no—
554#416—21no—
555#416—21no—
556#416—21no—
557C2×#102—21no—
558C2×#102—21no—
559#408—21no—
560#408—21no—
561#408—21no—
562#408—21no—
563#408—21no—
564#408—21no—
565#408—21no—
566#408—21no—
567C2×C22⋊C8—21no—
568C2×C22⋊C8—21no—
569C2×C22⋊C8—21no—
570#405—21no—
571#405—21no—
572#405—21no—
573#405—21no—
574C4×M16—21no—
575C2×C4×C8C2311yescharacteristic
576C2×C4×C8C2311yescharacteristic
577C2×C4×C8C2311yescharacteristic
578#335C2311yescharacteristic
579#335C2311yescharacteristic
580#335C2311yescharacteristic
581#335C2311yescharacteristic
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#335C2311yescharacteristic
585#335C2311yescharacteristic
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#333C2311yescharacteristic
599#333C2311yescharacteristic
600#333C2311yescharacteristic
601#333C2311yescharacteristic
602#332C2311yescharacteristic
603#332C2311yescharacteristic
604#332C2311yescharacteristic
605#332C2311yescharacteristic
606#332C2311yescharacteristic
607#332C2311yescharacteristic
608#332C2311yescharacteristic
609#332C2311yescharacteristic
610#332C2311yescharacteristic
611#332C2311yescharacteristic
612#332C2311yescharacteristic
613#332C2311yescharacteristic
614#332C2311yescharacteristic
615#332C2311yescharacteristic
616#332C2311yescharacteristic
617#332C2311yescharacteristic
618#331C2311yescharacteristic
619#331C2311yescharacteristic
620#331C2311yescharacteristic
621#331C2311yescharacteristic
622#331C2311yescharacteristic
623#331C2311yescharacteristic
624#331C2311yescharacteristic
625#331C2311yescharacteristic
626C2×#41—21no—
627C2×#41—21no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—21no—
631C2×#41—21no—
632C2×#41C2×D411yescharacteristic
633C2×#41C2×D411yescharacteristic
634C22×Q8—21no—
635C22×D4—21no—
636C22×D4—21no—
637C22×D4—21no—
638C22×D4C2×D411yescharacteristic
639C23×C4—21no—
640C2×Q16—21no—
641C2×Q16—21no—
642C2×Q16—21no—
643C2×Q16—21no—
644C2×SD16—21no—
645C2×SD16—21no—
646C2×SD16—21no—
647C2×SD16—21no—
648C2×SD16—21no—
649C2×SD16—21no—
650C2×SD16—21no—
651C2×SD16—21no—
652C2×SD16—21no—
653C2×SD16—21no—
654C2×SD16—21no—
655C2×SD16—21no—
656C2×D8—21no—
657C2×D8—21no—
658C2×D8—21no—
659C2×D8—21no—
660C2×D8—21no—
661C2×D8—21no—
662#131—82no—
663#131—82no—
664C2×M16—21no—
665C2×M16—21no—
666C2×M16—21no—
667C2×M16—21no—
668C2×M16—21no—
669C2×M16—21no—
670C2×M16—21no—
671C2×M16—21no—
672C2×M16—21no—
673C2×M16—21no—
674C2×M16—82no—
675C22×C8—21no—
676C22×C8—21no—
677C22×C8—21no—
678C22×C8—21no—
679C22×C8—21no—
680C22×C8—21no—
681C22×C8—21no—
682C22×C8—21no—
683C22×C8—21no—
684C22×C8C2×D411yescharacteristic
685C22×C8C2×D411yescharacteristic
686C22×C8C2×D411yescharacteristic
687C22×C8C2×D411yescharacteristic
688C22×C8C2×D411yescharacteristic
689C22×C8C2×D411yescharacteristic
690C4⋊Q8—21no—
691C4⋊Q8—21no—
692C4⋊Q8—21no—
693C4⋊Q8—21no—
694C4⋊Q8—41no—
695C4⋊Q8C2×D411yescharacteristic
696C4⋊Q8C2×D411yescharacteristic
697C4⋊Q8C2411yescharacteristic
698C4⋊Q8C2411yescharacteristic
699C4⋊Q8C2411yescharacteristic
700C4⋊Q8C2411yescharacteristic
701C4⋊Q8C2411yescharacteristic
702C4⋊Q8C2411yescharacteristic
703#127—21no—
704#127—21no—
705#127—21no—
706#127—21no—
707#127—41no—
708#127C2×D411yescharacteristic
709#127C2×D411yescharacteristic
710#127C2411yescharacteristic
711#127C2411yescharacteristic
712#126—21no—
713#126—21no—
714#126—21no—
715#126—21no—
716#126—41no—
717#126—41no—
718#126—41no—
719#126—41no—
720#125—21no—
721#125—21no—
722#125—21no—
723#125—21no—
724#125—21no—
725#125—21no—
726#125—21no—
727#125—41no—
728#125—41no—
729#125—41no—
730#125—41no—
731#125C2×D411yescharacteristic
732#125C2×D411yescharacteristic
733#124—21no—
734#124—21no—
735#124—21no—
736#124—21no—
737#124—21no—
738#124—21no—
739#124—21no—
740#124—21no—
741#124—21no—
742#124—41no—
743#124—41no—
744#124C2×D411yescharacteristic
745#124C2×D411yescharacteristic
746#123—21no—
747#123—21no—
748#123—21no—
749#123—21no—
750#123—21no—
751#123—21no—
752#123—21no—
753#123—21no—
754#123—41no—
755#123—41no—
756#123—41no—
757#123—41no—
758#123—41no—
759#123—41no—
760C22⋊Q8—21no—
761C22⋊Q8—21no—
762C22⋊Q8—21no—
763C22⋊Q8—21no—
764C22⋊Q8—21no—
765C22⋊Q8—21no—
766C22⋊Q8—21no—
767C22⋊Q8—21no—
768C22⋊Q8—21no—
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⋊Q8C2×D411yescharacteristic
778C22⋊Q8C2×D411yescharacteristic
779#121—21no—
780#121—21no—
781#121—21no—
782#121—21no—
783#121—21no—
784#121—21no—
785#121—21no—
786#121—21no—
787#121—21no—
788#121—21no—
789#121—21no—
790#121—21no—
791#121—21no—
792#121—21no—
793#121—21no—
794#121—21no—
795#121—21no—
796#121—21no—
797#121—21no—
798#121—41no—
799#121—41no—
800#121—41no—
801#121—41no—
802#121C2×D411yescharacteristic
803#121C2×D411yescharacteristic
804#121C2×D411yescharacteristic
805#121C2×D411yescharacteristic
806#121C2×D411yescharacteristic
807#121C2×D411yescharacteristic
808#120—21no—
809#120—21no—
810#120—21no—
811#120—21no—
812#120—41no—
813#120—41no—
814C4×Q8—21no—
815C4×Q8—21no—
816C4×Q8—21no—
817C4×Q8—21no—
818C4×Q8—21no—
819C4×Q8—21no—
820C4×Q8—21no—
821C4×Q8—21no—
822C4×Q8—21no—
823C4×Q8—21no—
824C4×Q8—21no—
825C4×Q8—21no—
826C4×Q8—41no—
827C4×Q8—41no—
828C4×Q8C2×D411yescharacteristic
829C4×Q8C2×D411yescharacteristic
830C4×Q8#4111yescharacteristic
831C4×Q8C2411yescharacteristic
832C4×D4—21no—
833C4×D4—21no—
834C4×D4—21no—
835C4×D4—21no—
836C4×D4—21no—
837C4×D4—21no—
838C4×D4—21no—
839C4×D4—21no—
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—41no—
849C4×D4—41no—
850C4×D4C2×D411yescharacteristic
851C4×D4C2×D411yescharacteristic
852C4×D4C2×D411yescharacteristic
853C4×D4C2×D411yescharacteristic
854C4×D4C2×D411yescharacteristic
855C4×D4C2×D411yescharacteristic
856C4×D4#4111yescharacteristic
857C4×D4#4111yescharacteristic
858C4×D4#4111yescharacteristic
859C4×D4C2411yescharacteristic
860C4×D4C2411yescharacteristic
861C4×D4C2411yescharacteristic
862#117—21no—
863#117—21no—
864#117—21no—
865#117—21no—
866#117—21no—
867#117—21no—
868#117—21no—
869#117—21no—
870#117—21no—
871#117—41no—
872#117—41no—
873#117C2×D411yescharacteristic
874#117C2×D411yescharacteristic
875#117C2×D411yescharacteristic
876#117C2×D411yescharacteristic
877C2×C4⋊C4—21no—
878C2×C4⋊C4—21no—
879C2×C4⋊C4C2×D411yescharacteristic
880C2×C22⋊C4—21no—
881C2×C22⋊C4—41no—
882C2×C22⋊C4—41no—
883C2×C42—21no—
884C2×C42C2411yescharacteristic
885C2×C42C2411yescharacteristic
886C2×C42C2411yescharacteristic
887#107—21no—
888#107—21no—
889#107—21no—
890#107—21no—
891#107—21no—
892#107—21no—
893#107—21no—
894#107—21no—
895#107—21no—
896#107—21no—
897#106—21no—
898#106—21no—
899#106—21no—
900#106—21no—
901#106—21no—
902#106—21no—
903#106—21no—
904#106—21no—
905#106—21no—
906#106—21no—
907#106—21no—
908#106—21no—
909C4⋊C8—21no—
910C4⋊C8—21no—
911C4⋊C8—21no—
912C4⋊C8—21no—
913C4⋊C8—21no—
914C4⋊C8—21no—
915C4⋊C8—21no—
916C4⋊C8—21no—
917C4⋊C8—21no—
918C4⋊C8—21no—
919C4⋊C8—21no—
920C4⋊C8C2×D411yescharacteristic
921C4⋊C8C2×D411yescharacteristic
922C4⋊C8C2×D411yescharacteristic
923C4⋊C8C2×D411yescharacteristic
924C4⋊C8C2×D411yescharacteristic
925C4⋊C8C2×D411yescharacteristic
926C4⋊C8C2411yescharacteristic
927C4⋊C8C2411yescharacteristic
928C4⋊C8C2411yescharacteristic
929C4⋊C8C2411yescharacteristic
930C4⋊C8C2411yescharacteristic
931C4⋊C8C2411yescharacteristic
932C4⋊C8C2411yescharacteristic
933C4⋊C8C2411yescharacteristic
934C4⋊C8C2411yescharacteristic
935C4⋊C8C2411yescharacteristic
936C4⋊C8C2411yescharacteristic
937C4⋊C8C2411yescharacteristic
938#103—21no—
939#103—21no—
940#103—21no—
941#103—21no—
942#103—21no—
943#103—21no—
944#103—21no—
945#103—21no—
946#103—21no—
947#103—21no—
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#102—21no—
959#102—21no—
960#102—21no—
961#102—21no—
962#102—21no—
963#102—21no—
964#102—21no—
965#102—21no—
966#102—21no—
967#102—21no—
968#102—21no—
969#102—21no—
970#102—21no—
971#102—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—
990C22⋊C8—21no—
991C22⋊C8—21no—
992C22⋊C8—21no—
993C22⋊C8—21no—
994C22⋊C8—21no—
995C22⋊C8—21no—
996C22⋊C8—21no—
997C22⋊C8—21no—
998C22⋊C8—21no—
999C22⋊C8—21no—
1000C22⋊C8—21no—
1001C22⋊C8—21no—
1002C22⋊C8—21no—
1003C22⋊C8—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⋊C8C2×D411yescharacteristic
1014C22⋊C8C2×D411yescharacteristic
1015C22⋊C8C2×D411yescharacteristic
1016C22⋊C8C2×D411yescharacteristic
1017C22⋊C8C2×D411yescharacteristic
1018C22⋊C8C2×D411yescharacteristic
1019#97—21no—
1020#97—21no—
1021#97—21no—
1022#97—21no—
1023#97—21no—
1024#97—21no—
1025#97—21no—
1026#97—21no—
1027C4×C8—21no—
1028C4×C8—21no—
1029C4×C8—21no—
1030C4×C8—21no—
1031C4×C8—21no—
1032C4×C8—21no—
1033C4×C8—21no—
1034C4×C8C2×D411yescharacteristic
1035C4×C8C2×D411yescharacteristic
1036C4×C8C2×D411yescharacteristic
1037C4×C8C2×D411yescharacteristic
1038C4×C8C2×D411yescharacteristic
1039C4×C8C2×D411yescharacteristic
1040C4×C8C2411yescharacteristic
1041C4×C8C2411yescharacteristic
1042C4×C8C2411yescharacteristic
1043C4×C8C2411yescharacteristic
1044C24—21no—
1045C24—41no—
1046#41—41no—
1047#41—41no—
1048#41—41no—
1049#41—41no—
1050#41—81no—
1051#41—81no—
1052#41—81no—
1053#41—81no—
1054#41—81no—
1055#41—81no—
1056#41—81no—
1057#41—81no—
1058#41—161no—
1059#41—161no—
1060C2×Q8—21no—
1061C2×Q8—21no—
1062C2×Q8—21no—
1063C2×Q8—21no—
1064C2×Q8—21no—
1065C2×Q8—21no—
1066C2×Q8—21no—
1067C2×Q8—21no—
1068C2×Q8—41no—
1069C2×Q8—81no—
1070C2×Q8—81no—
1071C2×Q8#12111yescharacteristic
1072C2×Q8C22×D411yescharacteristic
1073C2×D4—21no—
1074C2×D4—21no—
1075C2×D4—21no—
1076C2×D4—21no—
1077C2×D4—21no—
1078C2×D4—21no—
1079C2×D4—21no—
1080C2×D4—21no—
1081C2×D4—21no—
1082C2×D4—21no—
1083C2×D4—21no—
1084C2×D4—21no—
1085C2×D4—21no—
1086C2×D4—21no—
1087C2×D4—21no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—41no—
1092C2×D4—41no—
1093C2×D4—41no—
1094C2×D4—41no—
1095C2×D4—41no—
1096C2×D4—41no—
1097C2×D4—41no—
1098C2×D4—41no—
1099C2×D4—41no—
1100C2×D4—81no—
1101C2×D4—81no—
1102C2×D4—81no—
1103C2×D4—81no—
1104C2×D4—161no—
1105C2×D4#12111yescharacteristic
1106C2×D4#12111yescharacteristic
1107C2×D4#12111yescharacteristic
1108C2×D4C22×D411yescharacteristic
1109C2×D4C22×D411yescharacteristic
1110C2×D4C22×D411yescharacteristic
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—21no—
1117C22×C4—21no—
1118C22×C4—21no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—81no—
1125C22×C4—81no—
1126C22×C4C22×D411yescharacteristic
1127C22×C4C22×D411yescharacteristic
1128C22×C4C22×D411yescharacteristic
1129C22×C4C22×D411yescharacteristic
1130C22×C4C22×D411yescharacteristic
1131C22×C4C22×D411yescharacteristic
1132C22×C4C2×#4111yescharacteristic
1133C22×C4C2×#4111yescharacteristic
1134C22×C4C2×#4111yescharacteristic
1135Q16—81no—
1136Q16—81no—
1137Q16—81no—
1138Q16—81no—
1139SD16—81no—
1140SD16—81no—
1141SD16—81no—
1142SD16—81no—
1143SD16—81no—
1144SD16—81no—
1145SD16—81no—
1146SD16—81no—
1147SD16—81no—
1148SD16—81no—
1149SD16—81no—
1150SD16—81no—
1151D8—81no—
1152D8—81no—
1153D8—81no—
1154D8—81no—
1155D8—81no—
1156D8—81no—
1157M16—42no—
1158M16—42no—
1159M16—42no—
1160M16—81no—
1161M16—81no—
1162M16—81no—
1163M16—81no—
1164M16—81no—
1165M16—81no—
1166M16—81no—
1167C2×C8—21no—
1168C2×C8—21no—
1169C2×C8—21no—
1170C2×C8—21no—
1171C2×C8—21no—
1172C2×C8—21no—
1173C2×C8—21no—
1174C2×C8—21no—
1175C2×C8—21no—
1176C2×C8—21no—
1177C2×C8—21no—
1178C2×C8—21no—
1179C2×C8—41no—
1180C2×C8—41no—
1181C2×C8—41no—
1182C2×C8—41no—
1183C2×C8—41no—
1184C2×C8—41no—
1185C2×C8—81no—
1186C2×C8—81no—
1187C2×C8—81no—
1188C2×C8—81no—
1189C2×C8—81no—
1190C2×C8—81no—
1191C2×C8—81no—
1192C2×C8—81no—
1193C2×C8—81no—
1194C2×C8C22×D411yescharacteristic
1195C2×C8C22×D411yescharacteristic
1196C2×C8C22×D411yescharacteristic
1197C2×C8C22×D411yescharacteristic
1198C2×C8C22×D411yescharacteristic
1199C2×C8C22×D411yescharacteristic
1200C2×C8C22×D411yescharacteristic
1201C2×C8C22×D411yescharacteristic
1202C4⋊C4—21no—
1203C4⋊C4—21no—
1204C4⋊C4—21no—
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—41no—
1226C4⋊C4—41no—
1227C4⋊C4—41no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4#12111yescharacteristic
1240C4⋊C4#12111yescharacteristic
1241C4⋊C4#12111yescharacteristic
1242C4⋊C4#12111yescharacteristic
1243C4⋊C4#12111yescharacteristic
1244C4⋊C4#12111yescharacteristic
1245C4⋊C4C22×D411yescharacteristic
1246C4⋊C4C22×D411yescharacteristic
1247C4⋊C4C22×D411yescharacteristic
1248C4⋊C4C22×D411yescharacteristic
1249C22⋊C4—21no—
1250C22⋊C4—21no—
1251C22⋊C4—21no—
1252C22⋊C4—21no—
1253C22⋊C4—21no—
1254C22⋊C4—21no—
1255C22⋊C4—21no—
1256C22⋊C4—21no—
1257C22⋊C4—21no—
1258C22⋊C4—21no—
1259C22⋊C4—21no—
1260C22⋊C4—21no—
1261C22⋊C4—21no—
1262C22⋊C4—21no—
1263C22⋊C4—21no—
1264C22⋊C4—21no—
1265C22⋊C4—21no—
1266C22⋊C4—21no—
1267C22⋊C4—21no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4#12111yescharacteristic
1283C22⋊C4#12111yescharacteristic
1284C22⋊C4#12111yescharacteristic
1285C22⋊C4#12111yescharacteristic
1286C22⋊C4#12111yescharacteristic
1287C22⋊C4#12111yescharacteristic
1288C42—21no—
1289C42—21no—
1290C42—21no—
1291C42—41no—
1292C42—41no—
1293C42—41no—
1294C42—41no—
1295C42—41no—
1296C42—41no—
1297C42C22×D411yescharacteristic
1298C42C22×D411yescharacteristic
1299C42C22×D411yescharacteristic
1300C42C22×D411yescharacteristic
1301C42C22×D411yescharacteristic
1302C42C22×D411yescharacteristic
1303C42C2×#4111yescharacteristic
1304C42C2×#4111yescharacteristic
1305C42C2×#4111yescharacteristic
1306C42C2511yescharacteristic
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—42no—
1311C23—41no—
1312C23—41no—
1313C23—81no—
1314C23—81no—
1315C23—82no—
1316C23—161no—
1317C23—161no—
1318C23C2×#12111yescharacteristic
1319C23C2×#12111yescharacteristic
1320C23C2×#12111yescharacteristic
1321Q8—21no—
1322Q8—21no—
1323Q8—41no—
1324Q8—41no—
1325Q8—41no—
1326Q8—41no—
1327Q8—41no—
1328Q8—41no—
1329Q8—41no—
1330Q8—41no—
1331Q8—41no—
1332Q8—81no—
1333Q8—81no—
1334Q8—81no—
1335Q8—81no—
1336Q8—82no—
1337D4—21no—
1338D4—21no—
1339D4—21no—
1340D4—21no—
1341D4—21no—
1342D4—21no—
1343D4—41no—
1344D4—41no—
1345D4—41no—
1346D4—42no—
1347D4—42no—
1348D4—41no—
1349D4—41no—
1350D4—41no—
1351D4—41no—
1352D4—41no—
1353D4—41no—
1354D4—41no—
1355D4—41no—
1356D4—81no—
1357D4—81no—
1358D4—81no—
1359D4—81no—
1360D4—81no—
1361D4—81no—
1362D4—82no—
1363D4—81no—
1364D4—81no—
1365D4—81no—
1366D4—81no—
1367D4—81no—
1368D4—81no—
1369D4—161no—
1370D4—161no—
1371D4—161no—
1372D4—161no—
1373D4—161no—
1374D4—161no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—42no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
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—81no—
1409C2×C4—81no—
1410C2×C4—81no—
1411C2×C4—81no—
1412C2×C4—82no—
1413C2×C4—161no—
1414C2×C4—161no—
1415C2×C4—161no—
1416C2×C4—161no—
1417C2×C4C2×#12111yescharacteristic
1418C2×C4C2×#12111yescharacteristic
1419C2×C4C2×#12111yescharacteristic
1420C2×C4C2×#12111yescharacteristic
1421C2×C4C2×#12111yescharacteristic
1422C2×C4C2×#12111yescharacteristic
1423C2×C4C2×#12111yescharacteristic
1424C2×C4C2×#12111yescharacteristic
1425C2×C4C2×#12111yescharacteristic
1426C2×C4C23×D411yescharacteristic
1427C2×C4C23×D411yescharacteristic
1428C2×C4C22×#4111yescharacteristic
1429C8—21no—
1430C8—21no—
1431C8—21no—
1432C8—21no—
1433C8—21no—
1434C8—21no—
1435C8—21no—
1436C8—21no—
1437C8—41no—
1438C8—41no—
1439C8—41no—
1440C8—41no—
1441C8—41no—
1442C8—41no—
1443C8—41no—
1444C8—41no—
1445C8—41no—
1446C8—41no—
1447C8—41no—
1448C8—41no—
1449C22—21no—
1450C22—21no—
1451C22—21no—
1452C22—21no—
1453C22—21no—
1454C22—21no—
1455C22—21no—
1456C22—21no—
1457C22—21no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—81no—
1468C22—81no—
1469C22—81no—
1470C22—81no—
1471C22—81no—
1472C22—81no—
1473C22—162no—
1474C22—322no—
1475C22C22×#12111yescharacteristic
1476C4—21no—
1477C4—21no—
1478C4—21no—
1479C4—21no—
1480C4—21no—
1481C4—21no—
1482C4—21no—
1483C4—21no—
1484C4—21no—
1485C4—21no—
1486C4—41no—
1487C4—41no—
1488C4—41no—
1489C4—41no—
1490C4—41no—
1491C4—81no—
1492C4—81no—
1493C4—81no—
1494C4—81no—
1495C4—81no—
1496C4—81no—
1497C4#358411yescharacteristic
1498C4#358411yescharacteristic
1499C4#358411yescharacteristic
1500C4#358511yescharacteristic
1501C2—41no—
1502C2—41no—
1503C2—41no—
1504C2—81no—
1505C2—81no—
1506C2—81no—
1507C2—161no—
1508C2—161no—
1509C2#6043011yescharacteristic
1510C2#6045011yescharacteristic
1511C2#6047011yescharacteristic
subgroupG/H
center, socleC22C22×#121
commutator, Frattini, cosocleC42C25
prime radical#60990C2
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. #62531C2semidirect
2. #60991C2semidirect
4. #60321C2semidirect
5. #19551C2semidirect
6. #19545C2semidirect
7. #19543C2semidirect
8. #19537C2semidirect
9. #19519C2semidirect
10. #19512C2semidirect
11. #19511C2semidirect
12. #19504C2semidirect
13. #19419C2semidirect
14. #19413C2semidirect
15. #19394C2semidirect
16. #19388C2semidirect
17. #19366C2semidirect
18. #19364C2semidirect
19. #19331C2semidirect
20. #19330C2semidirect
21. #19303C2semidirect
22. #19282C2semidirect
23. #19221C2semidirect
24. #19220C2semidirect
25. #19200C2semidirect
26. #19198C2semidirect
27. #19159C2semidirect
28. #19142C2semidirect
29. #17827C2semidirect
30. #17767C2semidirect
31. #17766C2semidirect
43. #3254C22semidirect
45. #3252C22semidirect
47. #3248C22semidirect
49. #3246C22semidirect
57. #3229C22semidirect
59. #3228C22semidirect
65. #3210C22semidirect
66. #3208C22semidirect
77. #3170C22semidirect
79. #3167C22semidirect
81. #3131C22semidirect
82. C2×#486C22semidirect
87. #3116C22semidirect
89. #3110C22semidirect
91. #3107C22semidirect
93. #3101C22semidirect
97. #2993C22semidirect
99. #2988C22semidirect
101. #2981C22semidirect
105. #2972C22semidirect
108. #2966C22semidirect
109. #2965C22semidirect
115. #2931C22semidirect
116. C2×#436C22semidirect
119. #1704C22semidirect
120. #1704C22semidirect
121. #1703C22semidirect
122. #1703C22semidirect
123. #1703C22semidirect
124. #1703C22semidirect
125. #1703C22semidirect
126. #1703C22semidirect
127. #1702C22semidirect
128. #1702C22semidirect
133. #1701C22semidirect
134. #1701C22semidirect
135. #1700C22semidirect
136. #1699C22semidirect
137. #1699C22semidirect
138. #1699C22semidirect
139. #1698C22semidirect
142. #1697C22semidirect
143. #1692C22semidirect
144. #1691C22semidirect
145. #1691C22semidirect
146. #1691C22semidirect
147. #1686C22semidirect
150. #1685C22semidirect
151. #1682C22semidirect
152. #1682C22semidirect
157. #1681C22semidirect
158. #1681C22semidirect
159. #1680C22semidirect
160. #1679C22semidirect
161. #1679C22semidirect
162. #1679C22semidirect
163. #1678C22semidirect
166. #1677C22semidirect
167. #1676C22semidirect
168. #1675C22semidirect
169. #1675C22semidirect
170. #1675C22semidirect
171. #1672C22semidirect
172. #1671C22semidirect
173. #1671C22semidirect
174. #1671C22semidirect
175. #1670C22semidirect
176. #1669C22semidirect
177. #1669C22semidirect
178. #1669C22semidirect
179. #1666C22semidirect
182. #1665C22semidirect
183. #1572C22semidirect
184. #1572C22semidirect
185. #1572C22semidirect
186. #1572C22semidirect
187. #1571C22semidirect
188. #1571C22semidirect
189. #1568C22semidirect
190. #1568C22semidirect
191. #1566C22semidirect
192. #1564C22semidirect
193. #1564C22semidirect
194. C2×#334C22semidirect
195. #1561C22semidirect
196. #1560C22semidirect
197. #1559C22semidirect
198. #1559C22semidirect
199. #1559C22semidirect
200. #1557C22semidirect
201. #1556C22semidirect
202. #1555C22semidirect
203. #1554C22semidirect
204. #1554C22semidirect
205. #1554C22semidirect
207. #1552C22semidirect
208. #1552C22semidirect
210. #1551C22semidirect
211. #1550C22semidirect
212. #1549C22semidirect
213. #1547C22semidirect
214. #1545C22semidirect
215. #1544C22semidirect
217. #1542C22semidirect

Maximal subgroups

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

subgroupindex
#625312
#609912
#609902
#603212
#195512
#195452
#195432
#195372
#195192
#195122
#195112
#195042
#194192
#194132
#193942
#193882
#193662
#193642
#193312
#193302
#193032
#192822
#192212
#192202
#192002
#191982
#191592
#191422
#178272
#177672
#177662