Finite Group Databasebeta

← #6354585

Subgroups — #6354585

Order 512.

1628 conjugacy classes of subgroups.

The subgroup lattice has 1519 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60944C211yesmaximal, characteristic, complemented
2#60559C211yesmaximal, characteristic, complemented
3#60536C211yesmaximal, characteristic, complemented
4#60278C211yesmaximal, characteristic, complemented
5#19499C211yesmaximal, characteristic, complemented
6#19498C211yesmaximal, characteristic, complemented
7#19493C211yesmaximal, characteristic, complemented
8#19492C211yesmaximal, characteristic, complemented
9#19487C211yesmaximal, characteristic, complemented
10#19486C211yesmaximal, characteristic, complemented
11#19481C211yesmaximal, characteristic, complemented
12#19480C211yesmaximal, characteristic, complemented
13#19479C211yesmaximal, characteristic, complemented
14#19478C211yesmaximal, characteristic, complemented
15#19473C211yesmaximal, characteristic, complemented
16#19472C211yesmaximal, characteristic, complemented
17#19467C211yesmaximal, characteristic, complemented
18#19466C211yesmaximal, characteristic, complemented
19#19461C211yesmaximal, characteristic, complemented
20#19460C211yesmaximal, characteristic, complemented
21#19161C211yesmaximal, characteristic, complemented
22#19160C211yesmaximal, characteristic, complemented
23#19159C211yesmaximal, characteristic, complemented
24#19159C211yesmaximal, characteristic, complemented
25#19129C211yesmaximal, characteristic, complemented
26#19128C211yesmaximal, characteristic, complemented
27#19127C211yesmaximal, characteristic, complemented
28#19127C211yesmaximal, characteristic, complemented
29#17806C211yesmaximal, characteristic, complemented
30#17740C211yesmaximal, characteristic, complemented
31#17716C211yesmaximal, characteristic, complemented
32#3444C2211yescharacteristic
33#3444C2211yescharacteristic
34C2×C4×#41C2211yescharacteristic
35#3250—21no—
36#3250—21no—
37#3231C2211yescharacteristic
38#3231C2211yescharacteristic, complemented
39#3228C2211yescharacteristic
40#3228C2211yescharacteristic, complemented
41#3210C2211yescharacteristic
42#3210C2211yescharacteristic, complemented
43#3207C2211yescharacteristic
44#3207C2211yescharacteristic, complemented
45#3191—21no—
46#3191—21no—
47#3170C2211yescharacteristic, complemented
48#3169C2211yescharacteristic, complemented
49#3167C2211yescharacteristic, complemented
50#3167C2211yescharacteristic, complemented
51#3116C2211yescharacteristic
52#3116C2211yescharacteristic
53#3115C2211yescharacteristic
54#3115C2211yescharacteristic
55#3111—21no—
56#3111—21no—
57#3108—21no—
58#3107C2211yescharacteristic
59#3107C2211yescharacteristic
60#3107C2211yescharacteristic
61#3107C2211yescharacteristic
62#3106C2211yescharacteristic
63#3106C2211yescharacteristic
64#3106C2211yescharacteristic
65#3106C2211yescharacteristic
66#3105—21no—
67#3104C2211yescharacteristic
68#3103C2211yescharacteristic
69#3102—21no—
70#3102—21no—
71#3102—21no—
72#3102—21no—
73#3102—21no—
74#3102—21no—
75#3102—21no—
76#3102—21no—
77#3101C2211yescharacteristic
78#3100C2211yescharacteristic
79#3093—21no—
80#3091—21no—
81#3078C2211yescharacteristic
82#3077C2211yescharacteristic
83#3076C2211yescharacteristic
84#3076C2211yescharacteristic
85#3037C2211yescharacteristic
86#3036C2211yescharacteristic
87#3035C2211yescharacteristic
88#3035C2211yescharacteristic
89#3005—21no—
90#3002—21no—
91#2991C2211yescharacteristic
92#2991C2211yescharacteristic
93#2990—21no—
94#2990—21no—
95#2990C2211yescharacteristic
96#2990C2211yescharacteristic
97#2984C2211yescharacteristic
98#2984C2211yescharacteristic
99#2974—21no—
100#2974—21no—
101#2974C2211yescharacteristic
102#2974C2211yescharacteristic
103#2965—21no—
104#2965—21no—
105#2965C2211yescharacteristic
106#2965C2211yescharacteristic
107C8×#41C2211yescharacteristic
108C8×#41C2211yescharacteristic
109C4×#137—21no—
110C4×AGL(1,ℤ/8)—21no—
111C4×#135—21no—
112C4×#135—21no—
113#2920—21no—
114#2920C2211yescharacteristic
115#2920C2211yescharacteristic
116C2×#431—21no—
117C2×#431C2211yescharacteristic
118C2×#431C2211yescharacteristic
119#1704C2211yescharacteristic, complemented
120#1704C2211yescharacteristic, complemented
121#1703C2211yescharacteristic, complemented
122#1703C2211yescharacteristic, complemented
123#1702C2211yescharacteristic, complemented
124#1702C2211yescharacteristic, complemented
125#1701C2211yescharacteristic, complemented
126#1701C2211yescharacteristic, complemented
127#1700C2211yescharacteristic, complemented
128#1700C2211yescharacteristic, complemented
129#1699C2211yescharacteristic, complemented
130#1699C2211yescharacteristic, complemented
131#1698C2211yescharacteristic, complemented
132#1698C2211yescharacteristic, complemented
133#1697C2211yescharacteristic, complemented
134#1697C2211yescharacteristic, complemented
135#1696C2211yescharacteristic, complemented
136#1695C2211yescharacteristic, complemented
137#1694C2211yescharacteristic, complemented
138#1693C2211yescharacteristic, complemented
139#1692C2211yescharacteristic, complemented
140#1692C2211yescharacteristic, complemented
141#1691C2211yescharacteristic, complemented
142#1691C2211yescharacteristic, complemented
143#1690C2211yescharacteristic, complemented
144#1689C2211yescharacteristic, complemented
145#1688C2211yescharacteristic, complemented
146#1687C2211yescharacteristic, complemented
147#1686C2211yescharacteristic, complemented
148#1686C2211yescharacteristic, complemented
149#1685C2211yescharacteristic, complemented
150#1685C2211yescharacteristic, complemented
151#1684C2211yescharacteristic, complemented
152#1684C2211yescharacteristic, complemented
153#1683C2211yescharacteristic, complemented
154#1683C2211yescharacteristic, complemented
155#1682C2211yescharacteristic, complemented
156#1682C2211yescharacteristic, complemented
157#1681C2211yescharacteristic, complemented
158#1681C2211yescharacteristic, complemented
159#1680C2211yescharacteristic, complemented
160#1680C2211yescharacteristic, complemented
161#1679C2211yescharacteristic, complemented
162#1679C2211yescharacteristic, complemented
163#1678C2211yescharacteristic, complemented
164#1678C2211yescharacteristic, complemented
165#1677C2211yescharacteristic, complemented
166#1677C2211yescharacteristic, complemented
167#1676C2211yescharacteristic, complemented
168#1675C2211yescharacteristic, complemented
169#1674C2211yescharacteristic, complemented
170#1673C2211yescharacteristic, complemented
171#1672C2211yescharacteristic, complemented
172#1672C2211yescharacteristic, complemented
173#1671C2211yescharacteristic, complemented
174#1671C2211yescharacteristic, complemented
175#1670C2211yescharacteristic, complemented
176#1669C2211yescharacteristic, complemented
177#1668C2211yescharacteristic, complemented
178#1667C2211yescharacteristic, complemented
179#1666C2211yescharacteristic, complemented
180#1666C2211yescharacteristic, complemented
181#1665C2211yescharacteristic, complemented
182#1665C2211yescharacteristic, complemented
183#1574C2211yescharacteristic
184#1574C2211yescharacteristic
185#1574C2211yescharacteristic
186#1574C2211yescharacteristic
187#1573C2211yescharacteristic, complemented
188#1573C2211yescharacteristic, complemented
189#1573C2211yescharacteristic, complemented
190#1573C2211yescharacteristic, complemented
191#1564C2211yescharacteristic, complemented
192#1564C2211yescharacteristic, complemented
193#1564C2211yescharacteristic, complemented
194#1564C2211yescharacteristic, complemented
195#1559C2211yescharacteristic
196#1559C2211yescharacteristic
197#1559C2211yescharacteristic, complemented
198#1559C2211yescharacteristic, complemented
199#1557C2211yescharacteristic
200#1557C2211yescharacteristic
201#1557C2211yescharacteristic, complemented
202#1557C2211yescharacteristic, complemented
203#1554C2211yescharacteristic
204#1554C2211yescharacteristic
205#1553C2211yescharacteristic
206#1553C2211yescharacteristic
207#1550C2211yescharacteristic, complemented
208#1550C2211yescharacteristic, complemented
209#1547C2211yescharacteristic, complemented
210#1547C2211yescharacteristic, complemented
211#1544C2211yescharacteristic, complemented
212#1544C2211yescharacteristic, complemented
213#1544C2211yescharacteristic, complemented
214#1544C2211yescharacteristic, complemented
215#1543C2211yescharacteristic, complemented
216#1543C2211yescharacteristic, complemented
217#1543C2211yescharacteristic, complemented
218#1543C2211yescharacteristic, complemented
219C22×#41D411yescharacteristic
220C2×#137—21no—
221C2×AGL(1,ℤ/8)—21no—
222C2×#135—21no—
223C2×#135—21no—
224#533C2311yescharacteristic
225#533C2311yescharacteristic
226#533C2311yescharacteristic
227#533C2311yescharacteristic
228#533C2311yescharacteristic
229#533C2311yescharacteristic
230#532C2311yescharacteristic
231#532C2311yescharacteristic
232#532C2311yescharacteristic
233#532C2311yescharacteristic
234#532C2311yescharacteristic
235#532C2311yescharacteristic
236#529—21no—
237#529—21no—
238#529—21no—
239#529—21no—
240#529—21no—
241#529—21no—
242#529—21no—
243#529—21no—
244#529—21no—
245#529—21no—
246#529—21no—
247#529—21no—
248#525—21no—
249#525—21no—
250#525—21no—
251#525—21no—
252#525—21no—
253#525—21no—
254C4×#41—21no—
255C4×#41—21no—
256C4×#41—21no—
257C4×#41—21no—
258C4×#41—21no—
259C4×#41—21no—
260C4×#41—21no—
261C4×#41—21no—
262C4×#41—21no—
263C4×#41—21no—
264C4×#41D411yescharacteristic
265C4×#41D411yescharacteristic
266C4×#41D411yescharacteristic
267C4×#41D411yescharacteristic
268C4×#41C2311yescharacteristic
269C4×#41C2311yescharacteristic
270C4×#41C2311yescharacteristic
271C4×#41C2311yescharacteristic
272C2×C4×Q8D411yescharacteristic
273C2×C4×Q8C2311yescharacteristic
274C2×C4×D4—21no—
275C2×C4×D4—21no—
276C2×C4×D4D411yescharacteristic
277C2×C4×D4C2311yescharacteristic
278C2×#117—21no—
279C2×#117D411yescharacteristic
280C22×C42—21no—
281C22×C42C2311yescharacteristic
282#500C2311yescharacteristic
283#500C2311yescharacteristic
284#498C2311yescharacteristic
285#498C2311yescharacteristic
286#494C2311yescharacteristic
287#493C2311yescharacteristic
288#492C2311yescharacteristic
289#492C2311yescharacteristic
290#487C2311yescharacteristic
291#487C2311yescharacteristic
292#487C2311yescharacteristic
293#487C2311yescharacteristic
294#486C2311yescharacteristic
295#486C2311yescharacteristic
296#486C2311yescharacteristic
297#486C2311yescharacteristic
298#485—21no—
299#485—21no—
300#485—21no—
301#485—21no—
302#485—21no—
303#485—21no—
304#485—21no—
305#485—21no—
306#485—21no—
307#485—21no—
308#484—21no—
309#483—21no—
310#482—21no—
311#482—21no—
312#482—21no—
313#482—21no—
314#482—21no—
315#482—21no—
316#482—21no—
317#482—21no—
318#482—21no—
319#482—21no—
320#481—21no—
321#480—21no—
322#479—21no—
323#479—21no—
324#479—21no—
325#479—21no—
326#479—21no—
327#479—21no—
328#479—21no—
329#479—21no—
330#478—21no—
331#478—21no—
332#478—21no—
333#478—21no—
334#478—21no—
335#478—21no—
336#478—21no—
337#478—21no—
338#477C2311yescharacteristic
339#477C2311yescharacteristic
340#477C2311yescharacteristic
341#477C2311yescharacteristic
342#476C2311yescharacteristic
343#476C2311yescharacteristic
344#476C2311yescharacteristic
345#476C2311yescharacteristic
346#475C2311yescharacteristic
347#475C2311yescharacteristic
348#475C2311yescharacteristic
349#475C2311yescharacteristic
350#474C2311yescharacteristic
351#474C2311yescharacteristic
352#474C2311yescharacteristic
353#474C2311yescharacteristic
354#467—21no—
355#467—21no—
356#466—21no—
357#466—21no—
358#465—21no—
359#465—21no—
360#465—21no—
361#465—21no—
362#464—21no—
363#464—21no—
364#464—21no—
365#464—21no—
366#464—21no—
367#464—21no—
368#464—21no—
369#464—21no—
370#463—21no—
371#463—21no—
372#463—21no—
373#463—21no—
374#463—21no—
375#463—21no—
376#463—21no—
377#463—21no—
378#462C2311yescharacteristic
379#462C2311yescharacteristic
380#462C2311yescharacteristic
381#462C2311yescharacteristic
382#461C2311yescharacteristic
383#461C2311yescharacteristic
384#461C2311yescharacteristic
385#461C2311yescharacteristic
386#460C2311yescharacteristic
387#460C2311yescharacteristic
388#460C2311yescharacteristic
389#460C2311yescharacteristic
390#459C2311yescharacteristic
391#459C2311yescharacteristic
392#459C2311yescharacteristic
393#459C2311yescharacteristic
394#452—21no—
395#452—21no—
396#452—21no—
397#452—21no—
398#452—21no—
399#452—21no—
400#452—21no—
401#452—21no—
402#452—21no—
403#452—21no—
404#451—21no—
405#450—21no—
406#449—21no—
407#449—21no—
408#449—21no—
409#449—21no—
410#449—21no—
411#449—21no—
412#449—21no—
413#449—21no—
414#449—21no—
415#449—21no—
416#448—21no—
417#447—21no—
418#446—21no—
419#446—21no—
420#446—21no—
421#446—21no—
422#446C2311yescharacteristic
423#446C2311yescharacteristic
424#446C2311yescharacteristic
425#446C2311yescharacteristic
426C8×Q8C2311yescharacteristic
427C8×Q8C2311yescharacteristic
428C8×Q8C2311yescharacteristic
429C8×Q8C2311yescharacteristic
430#442—21no—
431#442—21no—
432#441—21no—
433#441—21no—
434#440—21no—
435#440—21no—
436#440—21no—
437#440—21no—
438C4×Q16—21no—
439C4×Q16—21no—
440C4×Q16—21no—
441C4×Q16—21no—
442C4×Q16—21no—
443C4×Q16—21no—
444C4×Q16—21no—
445C4×Q16—21no—
446C4×SD16—21no—
447C4×SD16—21no—
448C4×SD16—21no—
449C4×SD16—21no—
450C4×SD16—21no—
451C4×SD16—21no—
452C4×SD16—21no—
453C4×SD16—21no—
454C4×SD16—21no—
455C4×SD16—21no—
456C4×SD16—21no—
457C4×SD16—21no—
458C4×SD16—21no—
459C4×SD16—21no—
460C4×SD16—21no—
461C4×SD16—21no—
462C4×D8—21no—
463C4×D8—21no—
464C4×D8—21no—
465C4×D8—21no—
466C4×D8—21no—
467C4×D8—21no—
468C4×D8—21no—
469C4×D8—21no—
470#436—21no—
471#436—21no—
472#436—21no—
473#436—21no—
474#436C2311yescharacteristic
475#436C2311yescharacteristic
476#436C2311yescharacteristic
477#436C2311yescharacteristic
478#435—21no—
479#435—21no—
480#435—21no—
481#435—21no—
482#435—21no—
483#435—21no—
484#435—21no—
485#435—21no—
486#435—21no—
487#435—21no—
488#435—21no—
489#435—21no—
490C8×D4—21no—
491C8×D4—21no—
492C8×D4—21no—
493C8×D4—21no—
494C8×D4C2311yescharacteristic
495C8×D4C2311yescharacteristic
496C8×D4C2311yescharacteristic
497C8×D4C2311yescharacteristic
498#432—21no—
499#432—21no—
500#432—21no—
501#432—21no—
502#432—21no—
503#432—21no—
504#432C2311yescharacteristic
505#432C2311yescharacteristic
506#432C2311yescharacteristic
507#432C2311yescharacteristic
508#431—21no—
509#431—21no—
510#431—21no—
511#431—21no—
512#431—21no—
513#431—21no—
514#431—21no—
515#431—21no—
516#431—21no—
517#431—21no—
518#431—21no—
519#431—21no—
520#431D411yescharacteristic
521#431D411yescharacteristic
522#431D411yescharacteristic
523#431D411yescharacteristic
524#431C2311yescharacteristic
525#431C2311yescharacteristic
526#431C2311yescharacteristic
527#431C2311yescharacteristic
528#431C2311yescharacteristic
529#431C2311yescharacteristic
530#431C2311yescharacteristic
531#431C2311yescharacteristic
532#431C2311yescharacteristic
533#431C2311yescharacteristic
534#431C2311yescharacteristic
535#431C2311yescharacteristic
536#428—21no—
537#428—21no—
538#427—21no—
539#427—21no—
540#423—21no—
541#423—21no—
542#423C2311yescharacteristic
543#423C2311yescharacteristic
544#423C2311yescharacteristic
545#423C2311yescharacteristic
546C2×C4⋊C8—21no—
547C2×C4⋊C8—21no—
548C2×C4⋊C8D411yescharacteristic
549C2×C4⋊C8D411yescharacteristic
550C2×C4⋊C8C2311yescharacteristic
551C2×C4⋊C8C2311yescharacteristic
552#419—21no—
553#418—21no—
554#417—21no—
555#417—21no—
556#416—21no—
557#416—21no—
558#416—21no—
559#416—21no—
560#407—21no—
561#407—21no—
562#407—21no—
563#407—21no—
564C2×C22⋊C8—21no—
565C2×C22⋊C8—21no—
566C2×C22⋊C8—21no—
567C2×C22⋊C8D411yescharacteristic
568C2×C22⋊C8D411yescharacteristic
569C4×M16—21no—
570C4×M16—21no—
571C4×M16—21no—
572C4×M16—21no—
573C2×C4×C8—21no—
574C2×C4×C8—21no—
575C2×C4×C8—21no—
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×#41—21no—
633C2×#41—21no—
634C2×#41—42no—
635C2×#41—42no—
636C2×#41C2×D411yescharacteristic
637C2×#41C2×D411yescharacteristic
638C2×#41C2×D411yescharacteristic
639C2×#41C2×D411yescharacteristic
640C22×Q8C2×D411yescharacteristic
641C22×D4—21no—
642C22×D4C2×D411yescharacteristic
643C23×C4—21no—
644C23×C4—21no—
645C23×C4—21no—
646C23×C4C2×D411yescharacteristic
647C23×C4C2×D411yescharacteristic
648C23×C4#4111yescharacteristic
649#137—44no—
650AGL(1,ℤ/8)—44no—
651#135—44no—
652#135—44no—
653C2×Q16—21no—
654C2×Q16—21no—
655C2×Q16—21no—
656C2×Q16—21no—
657C2×Q16—21no—
658C2×Q16—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—21no—
668C2×SD16—21no—
669C2×SD16—21no—
670C2×SD16—21no—
671C2×D8—21no—
672C2×D8—21no—
673C2×D8—21no—
674C2×D8—21no—
675C2×D8—21no—
676C2×D8—21no—
677C2×M16—21no—
678C2×M16—21no—
679C2×M16—21no—
680C2×M16—21no—
681C2×M16—21no—
682C2×M16—21no—
683C2×M16—21no—
684C2×M16—21no—
685C22×C8—21no—
686C22×C8—21no—
687C22×C8—21no—
688C22×C8—21no—
689C22×C8—21no—
690C22×C8—21no—
691C22×C8C2×D411yescharacteristic
692C22×C8C2×D411yescharacteristic
693C22×C8C2×D411yescharacteristic
694C22×C8C2×D411yescharacteristic
695C4⋊Q8C2411yescharacteristic
696C4⋊Q8C2411yescharacteristic
697C4⋊Q8C2411yescharacteristic
698C4⋊Q8C2411yescharacteristic
699C4⋊Q8C2411yescharacteristic
700C4⋊Q8C2411yescharacteristic
701#127C2411yescharacteristic
702#127C2411yescharacteristic
703#126—41no—
704#126—41no—
705#126—41no—
706#126—41no—
707#125—21no—
708#125—21no—
709#125—21no—
710#125—21no—
711#125—21no—
712#125—21no—
713#124—21no—
714#124—21no—
715#124—21no—
716#124—21no—
717#124—21no—
718#124—21no—
719#123—41no—
720#123—41no—
721#123—41no—
722#123—41no—
723#123—41no—
724#123—41no—
725C22⋊Q8—21no—
726C22⋊Q8—21no—
727C22⋊Q8—21no—
728C22⋊Q8—21no—
729C22⋊Q8—21no—
730C22⋊Q8—21no—
731C22⋊Q8—21no—
732C22⋊Q8—21no—
733C22⋊Q8—21no—
734C22⋊Q8—21no—
735C22⋊Q8—21no—
736C22⋊Q8—21no—
737#121—21no—
738#121—21no—
739#121—21no—
740#121—21no—
741#121—21no—
742#121—21no—
743#121—21no—
744#121—21no—
745#121—21no—
746#121—21no—
747#121—21no—
748#121—21no—
749#120—41no—
750#120—41no—
751C4×Q8—21no—
752C4×Q8—21no—
753C4×Q8—21no—
754C4×Q8—21no—
755C4×Q8—21no—
756C4×Q8—21no—
757C4×Q8—21no—
758C4×Q8—21no—
759C4×Q8—21no—
760C4×Q8—21no—
761C4×Q8—21no—
762C4×Q8—21no—
763C4×Q8—21no—
764C4×Q8—21no—
765C4×Q8—21no—
766C4×Q8—21no—
767C4×Q8C2×D411yescharacteristic
768C4×Q8C2×D411yescharacteristic
769C4×Q8C2×D411yescharacteristic
770C4×Q8C2×D411yescharacteristic
771C4×Q8C2×D411yescharacteristic
772C4×Q8C2×D411yescharacteristic
773C4×Q8C2411yescharacteristic
774C4×Q8C2411yescharacteristic
775C4×D4—21no—
776C4×D4—21no—
777C4×D4—21no—
778C4×D4—21no—
779C4×D4—21no—
780C4×D4—21no—
781C4×D4—21no—
782C4×D4—21no—
783C4×D4—21no—
784C4×D4—21no—
785C4×D4—21no—
786C4×D4—21no—
787C4×D4—21no—
788C4×D4—21no—
789C4×D4—21no—
790C4×D4—21no—
791C4×D4—21no—
792C4×D4—21no—
793C4×D4—21no—
794C4×D4—21no—
795C4×D4—21no—
796C4×D4—21no—
797C4×D4—21no—
798C4×D4—21no—
799C4×D4—21no—
800C4×D4—21no—
801C4×D4—21no—
802C4×D4—21no—
803C4×D4—21no—
804C4×D4—21no—
805C4×D4—21no—
806C4×D4—21no—
807C4×D4—41no—
808C4×D4—41no—
809C4×D4—41no—
810C4×D4—41no—
811C4×D4—41no—
812C4×D4—41no—
813C4×D4—41no—
814C4×D4—41no—
815C4×D4—41no—
816C4×D4—41no—
817C4×D4—41no—
818C4×D4—41no—
819C4×D4C2×D411yescharacteristic
820C4×D4C2×D411yescharacteristic
821C4×D4C2×D411yescharacteristic
822C4×D4C2×D411yescharacteristic
823C4×D4C2×D411yescharacteristic
824C4×D4C2×D411yescharacteristic
825C4×D4C2411yescharacteristic
826C4×D4C2411yescharacteristic
827#117—21no—
828#117—21no—
829#117—21no—
830#117—21no—
831#117—21no—
832#117—21no—
833#117—21no—
834#117—21no—
835#117—21no—
836#117—21no—
837#117—21no—
838#117—21no—
839#117—21no—
840#117—21no—
841#117—21no—
842#117—21no—
843#117—41no—
844#117—41no—
845#117—41no—
846#117—41no—
847#117—41no—
848#117—41no—
849#117C2×D411yescharacteristic
850#117C2×D411yescharacteristic
851#117C2×D411yescharacteristic
852#117C2×D411yescharacteristic
853C2×C4⋊C4—21no—
854C2×C4⋊C4—21no—
855C2×C4⋊C4C2×D411yescharacteristic
856C2×C4⋊C4C2×D411yescharacteristic
857C2×C22⋊C4—21no—
858C2×C22⋊C4—21no—
859C2×C22⋊C4—21no—
860C2×C42—21no—
861C2×C42—21no—
862C2×C42—21no—
863C2×C42—21no—
864C2×C42—21no—
865C2×C42—21no—
866C2×C42—21no—
867C2×C42—21no—
868C2×C42—21no—
869C2×C42—21no—
870C2×C42—21no—
871C2×C42—41no—
872C2×C42—41no—
873C2×C42C2×D411yescharacteristic
874C2×C42C2×D411yescharacteristic
875C2×C42C2×D411yescharacteristic
876C2×C42C2×D411yescharacteristic
877C2×C42C2×D411yescharacteristic
878C2×C42C2×D411yescharacteristic
879C2×C42#4111yescharacteristic
880C2×C42#4111yescharacteristic
881C2×C42#4111yescharacteristic
882C2×C42C2411yescharacteristic
883C2×C42C2411yescharacteristic
884C2×C42C2411yescharacteristic
885#107—21no—
886#107—21no—
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⋊C8—21no—
921C4⋊C8—21no—
922C4⋊C8—21no—
923C4⋊C8C2×D411yescharacteristic
924C4⋊C8C2×D411yescharacteristic
925C4⋊C8C2×D411yescharacteristic
926C4⋊C8C2×D411yescharacteristic
927C4⋊C8C2×D411yescharacteristic
928C4⋊C8C2×D411yescharacteristic
929C4⋊C8C2×D411yescharacteristic
930C4⋊C8C2×D411yescharacteristic
931C4⋊C8C2411yescharacteristic
932C4⋊C8C2411yescharacteristic
933C4⋊C8C2411yescharacteristic
934C4⋊C8C2411yescharacteristic
935C4⋊C8C2411yescharacteristic
936C4⋊C8C2411yescharacteristic
937C4⋊C8C2411yescharacteristic
938C4⋊C8C2411yescharacteristic
939C4⋊C8C2411yescharacteristic
940C4⋊C8C2411yescharacteristic
941C4⋊C8C2411yescharacteristic
942C4⋊C8C2411yescharacteristic
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#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#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—
990#102—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⋊C8C2×D411yescharacteristic
1012C22⋊C8C2×D411yescharacteristic
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×C8—21no—
1035C4×C8—21no—
1036C4×C8—21no—
1037C4×C8—21no—
1038C4×C8—21no—
1039C4×C8C2×D411yescharacteristic
1040C4×C8C2×D411yescharacteristic
1041C4×C8C2×D411yescharacteristic
1042C4×C8C2×D411yescharacteristic
1043C4×C8C2411yescharacteristic
1044C4×C8C2411yescharacteristic
1045C4×C8C2411yescharacteristic
1046C4×C8C2411yescharacteristic
1047C24—21no—
1048C24#12111yescharacteristic
1049#41—22no—
1050#41—22no—
1051#41—22no—
1052#41—22no—
1053#41—41no—
1054#41—41no—
1055#41—41no—
1056#41—41no—
1057#41—44no—
1058#41—42no—
1059#41—42no—
1060#41—42no—
1061#41—42no—
1062#41—44no—
1063#41—81no—
1064#41—81no—
1065#41—81no—
1066#41—81no—
1067#41—82no—
1068#41—82no—
1069C2×Q8—21no—
1070C2×Q8—22no—
1071C2×Q8—21no—
1072C2×Q8—21no—
1073C2×Q8—21no—
1074C2×Q8—21no—
1075C2×Q8—21no—
1076C2×Q8—21no—
1077C2×Q8—41no—
1078C2×Q8C22×D411yescharacteristic
1079C2×Q8C22×D411yescharacteristic
1080C2×D4—21no—
1081C2×D4—22no—
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—21no—
1092C2×D4—41no—
1093C2×D4—44no—
1094C2×D4—41no—
1095C2×D4—41no—
1096C2×D4—41no—
1097C2×D4—41no—
1098C2×D4—41no—
1099C2×D4—41no—
1100C2×D4C22×D411yescharacteristic
1101C2×D4C22×D411yescharacteristic
1102C22×C4—21no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—21no—
1106C22×C4—21no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—21no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—42no—
1122C22×C4—44no—
1123C22×C4—44no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—41no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—81no—
1131C22×C4—81no—
1132C22×C4#12111yescharacteristic
1133C22×C4#12111yescharacteristic
1134C22×C4#12111yescharacteristic
1135C22×C4#12111yescharacteristic
1136C22×C4#12111yescharacteristic
1137C22×C4#12111yescharacteristic
1138C22×C4#12111yescharacteristic
1139C22×C4#12111yescharacteristic
1140C22×C4#12111yescharacteristic
1141C22×C4C22×D411yescharacteristic
1142C22×C4C22×D411yescharacteristic
1143C22×C4C22×D411yescharacteristic
1144C22×C4C22×D411yescharacteristic
1145C22×C4C22×D411yescharacteristic
1146C22×C4C22×D411yescharacteristic
1147C22×C4C2×#4111yescharacteristic
1148C22×C4C2×#4111yescharacteristic
1149C22×C4C2×#4111yescharacteristic
1150Q16—42no—
1151Q16—42no—
1152Q16—42no—
1153Q16—42no—
1154Q16—81no—
1155Q16—81no—
1156SD16—42no—
1157SD16—42no—
1158SD16—42no—
1159SD16—42no—
1160SD16—42no—
1161SD16—42no—
1162SD16—42no—
1163SD16—42no—
1164SD16—81no—
1165SD16—81no—
1166SD16—81no—
1167SD16—81no—
1168D8—42no—
1169D8—42no—
1170D8—42no—
1171D8—42no—
1172D8—81no—
1173D8—81no—
1174M16—42no—
1175M16—42no—
1176M16—81no—
1177M16—81no—
1178M16—81no—
1179M16—81no—
1180M16—81no—
1181M16—81no—
1182C2×C8—21no—
1183C2×C8—21no—
1184C2×C8—21no—
1185C2×C8—21no—
1186C2×C8—21no—
1187C2×C8—21no—
1188C2×C8—21no—
1189C2×C8—21no—
1190C2×C8—21no—
1191C2×C8—21no—
1192C2×C8—21no—
1193C2×C8—21no—
1194C2×C8—41no—
1195C2×C8—41no—
1196C2×C8—41no—
1197C2×C8—41no—
1198C2×C8—42no—
1199C2×C8—42no—
1200C2×C8—81no—
1201C2×C8—81no—
1202C2×C8—81no—
1203C2×C8—81no—
1204C2×C8C22×D411yescharacteristic
1205C2×C8C22×D411yescharacteristic
1206C2×C8C22×D411yescharacteristic
1207C2×C8C22×D411yescharacteristic
1208C2×C8C22×D411yescharacteristic
1209C2×C8C22×D411yescharacteristic
1210C2×C8C22×D411yescharacteristic
1211C2×C8C22×D411yescharacteristic
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—21no—
1233C4⋊C4—21no—
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⋊C4C22×D411yescharacteristic
1247C4⋊C4C22×D411yescharacteristic
1248C4⋊C4C22×D411yescharacteristic
1249C4⋊C4C22×D411yescharacteristic
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—41no—
1263C22⋊C4—41no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4—41no—
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—
1280C42—21no—
1281C42—21no—
1282C42—21no—
1283C42—21no—
1284C42—21no—
1285C42—21no—
1286C42—21no—
1287C42—21no—
1288C42—21no—
1289C42—21no—
1290C42—21no—
1291C42—21no—
1292C42—41no—
1293C42—41no—
1294C42—41no—
1295C42—41no—
1296C42—41no—
1297C42—41no—
1298C42#12111yescharacteristic
1299C42#12111yescharacteristic
1300C42#12111yescharacteristic
1301C42#12111yescharacteristic
1302C42#12111yescharacteristic
1303C42#12111yescharacteristic
1304C42C22×D411yescharacteristic
1305C42C22×D411yescharacteristic
1306C42C22×D411yescharacteristic
1307C42C22×D411yescharacteristic
1308C42C22×D411yescharacteristic
1309C42C22×D411yescharacteristic
1310C42C2×#4111yescharacteristic
1311C42C2×#4111yescharacteristic
1312C42C2×#4111yescharacteristic
1313C42C2511yescharacteristic
1314C23—21no—
1315C23—21no—
1316C23—41no—
1317C23—41no—
1318C23—41no—
1319C23—42no—
1320C23—42no—
1321C23—41no—
1322C23—41no—
1323C23—81no—
1324C23C2×#12111yescharacteristic
1325C23C2×#12111yescharacteristic
1326C23C2×#12111yescharacteristic
1327Q8—21no—
1328Q8—21no—
1329Q8—21no—
1330Q8—42no—
1331Q8—41no—
1332Q8—41no—
1333Q8—41no—
1334Q8—41no—
1335Q8—41no—
1336Q8—41no—
1337Q8—41no—
1338Q8—41no—
1339Q8—81no—
1340Q8—81no—
1341Q8#57512yes—
1342D4—24no—
1343D4—21no—
1344D4—21no—
1345D4—21no—
1346D4—42no—
1347D4—42no—
1348D4—42no—
1349D4—42no—
1350D4—41no—
1351D4—41no—
1352D4—41no—
1353D4—41no—
1354D4—41no—
1355D4—41no—
1356D4—41no—
1357D4—41no—
1358D4—81no—
1359D4—81no—
1360D4—82no—
1361D4—82no—
1362D4—82no—
1363D4—82no—
1364D4—82no—
1365D4—82no—
1366D4#57512yes—
1367C2×C4—24no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—22no—
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—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—42no—
1399C2×C4—42no—
1400C2×C4—42no—
1401C2×C4—42no—
1402C2×C4—42no—
1403C2×C4—42no—
1404C2×C4—42no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4—41no—
1408C2×C4—41no—
1409C2×C4—42no—
1410C2×C4—42no—
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—82no—
1420C2×C4—82no—
1421C2×C4—82no—
1422C2×C4—82no—
1423C2×C4—81no—
1424C2×C4—82no—
1425C2×C4—82no—
1426C2×C4C2×#12111yescharacteristic
1427C2×C4C2×#12111yescharacteristic
1428C2×C4C2×#12111yescharacteristic
1429C2×C4C2×#12111yescharacteristic
1430C2×C4C2×#12111yescharacteristic
1431C2×C4C2×#12111yescharacteristic
1432C2×C4C2×#12111yescharacteristic
1433C2×C4C2×#12111yescharacteristic
1434C2×C4C2×#12111yescharacteristic
1435C2×C4C23×D411yescharacteristic
1436C2×C4C23×D411yescharacteristic
1437C2×C4C22×#4111yescharacteristic
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—
1456C8—41no—
1457C8—41no—
1458C22—21no—
1459C22—21no—
1460C22—21no—
1461C22—21no—
1462C22—21no—
1463C22—22no—
1464C22—21no—
1465C22—21no—
1466C22—21no—
1467C22—21no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—82no—
1474C22—84no—
1475C22—81no—
1476C22—81no—
1477C22—81no—
1478C22—81no—
1479C22—81no—
1480C22—81no—
1481C22C22×#12111yescharacteristic
1482C4—21no—
1483C4—21no—
1484C4—21no—
1485C4—21no—
1486C4—22no—
1487C4—21no—
1488C4—21no—
1489C4—21no—
1490C4—21no—
1491C4—21no—
1492C4—41no—
1493C4—41no—
1494C4—41no—
1495C4—41no—
1496C4—41no—
1497C4—81no—
1498C4—81no—
1499C4—81no—
1500C4—81no—
1501C4—81no—
1502C4—81no—
1503C4#306712yes—
1504C4C2×#57511yescharacteristic
1505C4C2×#57511yescharacteristic
1506C4#358411yescharacteristic
1507C4#358411yescharacteristic
1508C2—41no—
1509C2—41no—
1510C2—41no—
1511C2—42no—
1512C2—81no—
1513C2—161no—
1514C2—161no—
1515C2#6042211yescharacteristic
1516C2#6044411yescharacteristic
1517C2C2×#306711yescharacteristic
subgroupG/H
centerC2×C4C2×#121
commutator, Frattini, cosocleC42C25
socleC22C22×#121
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C2×C4 ◁ C22×C42 ◁ G
LECSG ▷ C42 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #60944C2semidirect
2. #60559C2semidirect
3. #60536C2semidirect
4. #60278C2semidirect
5. #19499C2semidirect
6. #19498C2semidirect
7. #19493C2semidirect
8. #19492C2semidirect
9. #19487C2semidirect
10. #19486C2semidirect
11. #19481C2semidirect
12. #19480C2semidirect
13. #19479C2semidirect
14. #19478C2semidirect
15. #19473C2semidirect
16. #19472C2semidirect
17. #19467C2semidirect
18. #19466C2semidirect
19. #19461C2semidirect
20. #19460C2semidirect
21. #19161C2semidirect
22. #19160C2semidirect
23. #19159C2semidirect
24. #19159C2semidirect
25. #19129C2semidirect
26. #19128C2semidirect
27. #19127C2semidirect
28. #19127C2semidirect
29. #17806C2semidirect
30. #17740C2semidirect
31. #17716C2semidirect
38. #3231C22semidirect
40. #3228C22semidirect
42. #3210C22semidirect
44. #3207C22semidirect
47. #3170C22semidirect
48. #3169C22semidirect
49. #3167C22semidirect
50. #3167C22semidirect
119. #1704C22semidirect
120. #1704C22semidirect
121. #1703C22semidirect
122. #1703C22semidirect
123. #1702C22semidirect
124. #1702C22semidirect
125. #1701C22semidirect
126. #1701C22semidirect
127. #1700C22semidirect
128. #1700C22semidirect
129. #1699C22semidirect
130. #1699C22semidirect
131. #1698C22semidirect
132. #1698C22semidirect
133. #1697C22semidirect
134. #1697C22semidirect
135. #1696C22semidirect
136. #1695C22semidirect
137. #1694C22semidirect
138. #1693C22semidirect
139. #1692C22semidirect
140. #1692C22semidirect
141. #1691C22semidirect
142. #1691C22semidirect
143. #1690C22semidirect
144. #1689C22semidirect
145. #1688C22semidirect
146. #1687C22semidirect
147. #1686C22semidirect
148. #1686C22semidirect
149. #1685C22semidirect
150. #1685C22semidirect
151. #1684C22semidirect
152. #1684C22semidirect
153. #1683C22semidirect
154. #1683C22semidirect
155. #1682C22semidirect
156. #1682C22semidirect
157. #1681C22semidirect
158. #1681C22semidirect
159. #1680C22semidirect
160. #1680C22semidirect
161. #1679C22semidirect
162. #1679C22semidirect
163. #1678C22semidirect
164. #1678C22semidirect
165. #1677C22semidirect
166. #1677C22semidirect
167. #1676C22semidirect
168. #1675C22semidirect
169. #1674C22semidirect
170. #1673C22semidirect
171. #1672C22semidirect
172. #1672C22semidirect
173. #1671C22semidirect
174. #1671C22semidirect
175. #1670C22semidirect
176. #1669C22semidirect
177. #1668C22semidirect
178. #1667C22semidirect
179. #1666C22semidirect
180. #1666C22semidirect
181. #1665C22semidirect
182. #1665C22semidirect
187. #1573C22semidirect
188. #1573C22semidirect
189. #1573C22semidirect
190. #1573C22semidirect
191. #1564C22semidirect
192. #1564C22semidirect
193. #1564C22semidirect
194. #1564C22semidirect
197. #1559C22semidirect
198. #1559C22semidirect
201. #1557C22semidirect
202. #1557C22semidirect
207. #1550C22semidirect
208. #1550C22semidirect
209. #1547C22semidirect
210. #1547C22semidirect
211. #1544C22semidirect
212. #1544C22semidirect
213. #1544C22semidirect
214. #1544C22semidirect
215. #1543C22semidirect
216. #1543C22semidirect
217. #1543C22semidirect
218. #1543C22semidirect

Maximal subgroups

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

subgroupindex
#609442
#605592
#605362
#602782
#194992
#194982
#194932
#194922
#194872
#194862
#194812
#194802
#194792
#194782
#194732
#194722
#194672
#194662
#194612
#194602
#191612
#191602
#191592
#191292
#191282
#191272
#178062
#177402
#177162