Finite Group Databasebeta

← #6356946

Subgroups — #6356946

Order 512.

1591 conjugacy classes of subgroups.

The subgroup lattice has 1525 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62477C211yesmaximal, characteristic, complemented
2#62128C211yesmaximal, characteristic, complemented
3#61978C211yesmaximal, characteristic, complemented
4#60324C211yesmaximal, characteristic, complemented
5#19591C211yesmaximal, characteristic, complemented
6#19589C211yesmaximal, characteristic, complemented
7#19551C211yesmaximal, characteristic, complemented
8#19544C211yesmaximal, characteristic, complemented
9#19519C211yesmaximal, characteristic, complemented
10#19513C211yesmaximal, characteristic, complemented
11#19465C211yesmaximal, characteristic, complemented
12#19462C211yesmaximal, characteristic, complemented
13#19455C211yesmaximal, characteristic, complemented
14#19450C211yesmaximal, characteristic, complemented
15#19430C211yesmaximal, characteristic, complemented
16#19427C211yesmaximal, characteristic, complemented
17#19379C211yesmaximal, characteristic, complemented
18#19370C211yesmaximal, characteristic, complemented
19#19357C211yesmaximal, characteristic, complemented
20#19323C211yesmaximal, characteristic, complemented
21#19306C211yesmaximal, characteristic, complemented
22#19283C211yesmaximal, characteristic, complemented
23#19250C211yesmaximal, characteristic, complemented
24#19233C211yesmaximal, characteristic, complemented
25#19222C211yesmaximal, characteristic, complemented
26#19184C211yesmaximal, characteristic, complemented
27#19165C211yesmaximal, characteristic, complemented
28C2×#1691C211yesmaximal, characteristic, complemented
29#17840C211yesmaximal, characteristic, complemented
30#17779C211yesmaximal, characteristic, complemented
31#17775C211yesmaximal, characteristic, complemented
32#3511C2211yescharacteristic
33#3499C2211yescharacteristic
34#3481C2211yescharacteristic
35#3401—21no—
36#3384—21no—
37#3384—21no—
38#3384—21no—
39#3376—21no—
40#3373—21no—
41#3354—21no—
42#3354—21no—
43#3345—21no—
44#3345—21no—
45#3345—21no—
46#3345—21no—
47#3345—21no—
48#3345—21no—
49#3335—21no—
50#3316—21no—
51#3307—21no—
52#3306—21no—
53#3306—21no—
54#3301—21no—
55#3294—21no—
56#3282—21no—
57#3267—21no—
58#3265—21no—
59#3253C2211yescharacteristic
60#3252C2211yescharacteristic
61#3247C2211yescharacteristic
62#3247C2211yescharacteristic
63#3247C2211yescharacteristic
64#3246C2211yescharacteristic
65#3238C2211yescharacteristic
66#3238C2211yescharacteristic
67#3228C2211yescharacteristic, complemented
68#3228C2211yescharacteristic, complemented
69#3227C2211yescharacteristic
70#3227C2211yescharacteristic, complemented
71#3227C2211yescharacteristic, complemented
72#3227C2211yescharacteristic, complemented
73#3226C2211yescharacteristic, complemented
74#3218C2211yescharacteristic
75#3214C2211yescharacteristic
76#3212C2211yescharacteristic
77#3184C2211yescharacteristic, complemented
78#3184C2211yescharacteristic, complemented
79#3169C2211yescharacteristic, complemented
80#3165C2211yescharacteristic, complemented
81#3165C2211yescharacteristic, complemented
82C2×#498C2211yescharacteristic, complemented
83#3116C2211yescharacteristic
84#3109C2211yescharacteristic
85#3109C2211yescharacteristic
86#3109C2211yescharacteristic
87#3106C2211yescharacteristic
88#3101C2211yescharacteristic
89#3079C2211yescharacteristic
90C2×#476C2211yescharacteristic
91C2×#476C2211yescharacteristic
92#3036C2211yescharacteristic
93#3035C2211yescharacteristic
94C2×#461C2211yescharacteristic
95#2995—21no—
96#2994C2211yescharacteristic
97#2993C2211yescharacteristic
98#2990C2211yescharacteristic
99#2990C2211yescharacteristic
100#2990C2211yescharacteristic
101#2989C2211yescharacteristic
102#2981C2211yescharacteristic
103#2978—21no—
104#2976—21no—
105#2975C2211yescharacteristic
106#2974C2211yescharacteristic
107#2973—21no—
108#2971C2211yescharacteristic
109#2969C2211yescharacteristic
110#2967—21no—
111#2966C2211yescharacteristic
112#2965C2211yescharacteristic
113#2935C2211yescharacteristic
114D4×M16—21no—
115D4×M16C2211yescharacteristic
116#2933—21no—
117#2930—21no—
118C2×#436C2211yescharacteristic
119#1702C2211yescharacteristic, complemented
120#1701C2211yescharacteristic
121#1701C2211yescharacteristic
122#1701C2211yescharacteristic, complemented
123#1698C2211yescharacteristic, complemented
124#1698C2211yescharacteristic, complemented
125#1698C2211yescharacteristic, complemented
126#1697C2211yescharacteristic
127#1697C2211yescharacteristic
128#1697C2211yescharacteristic
129#1697C2211yescharacteristic
130#1697C2211yescharacteristic, complemented
131#1697C2211yescharacteristic, complemented
132#1697C2211yescharacteristic, complemented
133#1697C2211yescharacteristic, complemented
134#1697C2211yescharacteristic, complemented
135#1696C2211yescharacteristic, complemented
136#1695C2211yescharacteristic
137#1695C2211yescharacteristic
138#1695C2211yescharacteristic
139#1695C2211yescharacteristic, complemented
140#1695C2211yescharacteristic, complemented
141#1692C2211yescharacteristic, complemented
142#1692C2211yescharacteristic, complemented
143#1692C2211yescharacteristic, complemented
144#1691C2211yescharacteristic
145#1691C2211yescharacteristic
146#1691C2211yescharacteristic
147#1691C2211yescharacteristic
148#1691C2211yescharacteristic
149#1691C2211yescharacteristic
150#1691C2211yescharacteristic, complemented
151#1691C2211yescharacteristic, complemented
152#1691C2211yescharacteristic, complemented
153#1691C2211yescharacteristic, complemented
154#1691C2211yescharacteristic, complemented
155#1691C2211yescharacteristic, complemented
156#1691C2211yescharacteristic, complemented
157#1687C2211yescharacteristic
158#1687C2211yescharacteristic, complemented
159#1682C2211yescharacteristic, complemented
160#1681C2211yescharacteristic, complemented
161#1681C2211yescharacteristic, complemented
162#1681C2211yescharacteristic, complemented
163#1678C2211yescharacteristic, complemented
164#1677C2211yescharacteristic, complemented
165#1677C2211yescharacteristic, complemented
166#1677C2211yescharacteristic, complemented
167#1676C2211yescharacteristic, complemented
168#1676C2211yescharacteristic, complemented
169#1675C2211yescharacteristic, complemented
170#1675C2211yescharacteristic, complemented
171#1675C2211yescharacteristic, complemented
172#1675C2211yescharacteristic, complemented
173#1672C2211yescharacteristic, complemented
174#1672C2211yescharacteristic, complemented
175#1672C2211yescharacteristic, complemented
176#1671C2211yescharacteristic, complemented
177#1671C2211yescharacteristic, complemented
178#1671C2211yescharacteristic, complemented
179#1671C2211yescharacteristic, complemented
180#1671C2211yescharacteristic, complemented
181#1668C2211yescharacteristic, complemented
182#1667C2211yescharacteristic, complemented
183#1573C2211yescharacteristic, complemented
184#1573C2211yescharacteristic, complemented
185#1572C2211yescharacteristic, complemented
186#1572C2211yescharacteristic, complemented
187#1571C2211yescharacteristic, complemented
188#1571C2211yescharacteristic, complemented
189#1569C2211yescharacteristic, complemented
190#1569C2211yescharacteristic, complemented
191#1568C2211yescharacteristic, complemented
192#1565C2211yescharacteristic, complemented
193#1565C2211yescharacteristic, complemented
194C2×#335C2211yescharacteristic, complemented
195#1560C2211yescharacteristic, complemented
196#1559C2211yescharacteristic, complemented
197#1558C2211yescharacteristic, complemented
198#1558C2211yescharacteristic, complemented
199#1557C2211yescharacteristic, complemented
200#1556C2211yescharacteristic, complemented
201#1554C2211yescharacteristic, complemented
202#1553C2211yescharacteristic, complemented
203#1551C2211yescharacteristic, complemented
204#1551C2211yescharacteristic, complemented
205#1551C2211yescharacteristic, complemented
206#1551C2211yescharacteristic, complemented
207#1551C2211yescharacteristic, complemented
208#1551C2211yescharacteristic, complemented
209#1550C2211yescharacteristic, complemented
210#1548C2211yescharacteristic, complemented
211#1548C2211yescharacteristic, complemented
212#1547C2211yescharacteristic, complemented
213#1543C2211yescharacteristic, complemented
214#1542C2211yescharacteristic, complemented
215C2×#333C2211yescharacteristic, complemented
216C2×#333C2211yescharacteristic, complemented
217#1540C2211yescharacteristic, complemented
218C2×#332C2211yescharacteristic, complemented
219C2×2−1+4—21no—
220C2×AGL(1,ℤ/8)—21no—
221C2×#135—21no—
222C22×SD16—21no—
223C2×#131—21no—
224C22×M16—21no—
225C22×M16—21no—
226#559D411yescharacteristic
227#556—21no—
228#555—21no—
229#554—21no—
230#554D411yescharacteristic
231#554D411yescharacteristic
232#553—21no—
233#553—21no—
234#553—21no—
235#553D411yescharacteristic
236#553D411yescharacteristic
237#551—21no—
238#551—21no—
239D4×Q8—21no—
240D4×Q8—21no—
241#548—21no—
242#548—21no—
243#547—21no—
244#547—21no—
245#547—21no—
246#547—21no—
247#547—21no—
248#547—21no—
249#547—21no—
250#546—21no—
251#546D411yescharacteristic
252#546D411yescharacteristic
253D42D411yescharacteristic
254#542—21no—
255#542—21no—
256#537—21no—
257#536—21no—
258#536—21no—
259#536—21no—
260#533C2311yescharacteristic
261#533C2311yescharacteristic
262#532C2311yescharacteristic
263#532C2311yescharacteristic
264#532C2311yescharacteristic
265#532C2311yescharacteristic
266#532C2311yescharacteristic
267#532C2311yescharacteristic
268#532C2311yescharacteristic
269C2×C4⋊Q8C2311yescharacteristic
270C2×C4⋊Q8C2311yescharacteristic
271C2×C4⋊Q8C2311yescharacteristic
272C2×C4⋊Q8C2311yescharacteristic
273#529—21no—
274#529C2311yescharacteristic
275#529C2311yescharacteristic
276#525—21no—
277#525—21no—
278#520—21no—
279C4×#41C2311yescharacteristic
280C4×#41C2311yescharacteristic
281C2×C4×D4—21no—
282C2×C4×D4C2311yescharacteristic
283C2×C4×D4C2311yescharacteristic
284#501—21no—
285#501—21no—
286#501—21no—
287#501—21no—
288#501—21no—
289#501—21no—
290#500C2311yescharacteristic
291#500C2311yescharacteristic
292#500C2311yescharacteristic
293#498—21no—
294#498—21no—
295#498—21no—
296#498C2311yescharacteristic
297#498C2311yescharacteristic
298#498C2311yescharacteristic
299#498C2311yescharacteristic
300#498C2311yescharacteristic
301#498C2311yescharacteristic
302#497—21no—
303#496—21no—
304#495—21no—
305#493C2311yescharacteristic
306#491—21no—
307#489—21no—
308#489—21no—
309#489—21no—
310#488—21no—
311#486—21no—
312#486C2311yescharacteristic
313#486C2311yescharacteristic
314#486C2311yescharacteristic
315#486C2311yescharacteristic
316#486C2311yescharacteristic
317#486C2311yescharacteristic
318#485—21no—
319#483—21no—
320#483—21no—
321#483—21no—
322#482—21no—
323#482—21no—
324#482—21no—
325#482—21no—
326#482—21no—
327#481—21no—
328#481—21no—
329#481—21no—
330#481—21no—
331#481—21no—
332#481—21no—
333#481—21no—
334#481—21no—
335#481—21no—
336#481—21no—
337#481—21no—
338#480—21no—
339#480—21no—
340#480—21no—
341#480—21no—
342#479—21no—
343#478—21no—
344#478—21no—
345#478—21no—
346#478—21no—
347#478—21no—
348#478—21no—
349#478—21no—
350#477C2311yescharacteristic
351#477C2311yescharacteristic
352#477C2311yescharacteristic
353#477C2311yescharacteristic
354#476—21no—
355#476—21no—
356#476—21no—
357#476—21no—
358#476—21no—
359#476—21no—
360#476—21no—
361#476—21no—
362#476—21no—
363#476—21no—
364#476—21no—
365#476C2311yescharacteristic
366#476C2311yescharacteristic
367#476C2311yescharacteristic
368#476C2311yescharacteristic
369#476C2311yescharacteristic
370#476C2311yescharacteristic
371#476C2311yescharacteristic
372#476C2311yescharacteristic
373#476C2311yescharacteristic
374#476C2311yescharacteristic
375#476C2311yescharacteristic
376#476C2311yescharacteristic
377#475—21no—
378#475—21no—
379#474—21no—
380#474—21no—
381#474—21no—
382#470—21no—
383#469—21no—
384#469—21no—
385#469—21no—
386#469—21no—
387#469—21no—
388#469—21no—
389#468—21no—
390#466—21no—
391#466—21no—
392#466—21no—
393#466—21no—
394#466—21no—
395#465—21no—
396#465—21no—
397#465—21no—
398#465—21no—
399#465—21no—
400#464—21no—
401#464—21no—
402#463—21no—
403#463—21no—
404#463—21no—
405#463—21no—
406#463—21no—
407#463—21no—
408#462C2311yescharacteristic
409#462C2311yescharacteristic
410#461—21no—
411#461—21no—
412#461C2311yescharacteristic
413#461C2311yescharacteristic
414#461C2311yescharacteristic
415#461C2311yescharacteristic
416#461C2311yescharacteristic
417#461C2311yescharacteristic
418#460—21no—
419#460C2311yescharacteristic
420#460C2311yescharacteristic
421#459—21no—
422#459C2311yescharacteristic
423#459C2311yescharacteristic
424#459C2311yescharacteristic
425#459C2311yescharacteristic
426#459C2311yescharacteristic
427#459C2311yescharacteristic
428#452—21no—
429#452—21no—
430#451—21no—
431#450—21no—
432#449—21no—
433#449—21no—
434#449—21no—
435#449—21no—
436#448—21no—
437#447—21no—
438#447—21no—
439#447—21no—
440#446—21no—
441#446—21no—
442#446—21no—
443#446D411yescharacteristic
444#446D411yescharacteristic
445#446C2311yescharacteristic
446#446C2311yescharacteristic
447C8×Q8C2311yescharacteristic
448C8×Q8C2311yescharacteristic
449#442—21no—
450#442—21no—
451#442—21no—
452#442—21no—
453#442—21no—
454#442—21no—
455#442—21no—
456#442—21no—
457#442—21no—
458#442—21no—
459#441—21no—
460#440—21no—
461C4×SD16—21no—
462C4×SD16—21no—
463C4×SD16—21no—
464C4×D8—21no—
465C4×D8—21no—
466C4×D8—21no—
467#436—21no—
468#436—21no—
469#436—21no—
470#436—21no—
471#436—21no—
472#436—21no—
473#436—21no—
474#436—21no—
475#436D411yescharacteristic
476#436D411yescharacteristic
477#436C2311yescharacteristic
478#436C2311yescharacteristic
479#436C2311yescharacteristic
480#436C2311yescharacteristic
481#436C2311yescharacteristic
482#436C2311yescharacteristic
483#436C2311yescharacteristic
484#436C2311yescharacteristic
485#435—21no—
486#435—21no—
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—
499#435—21no—
500#435—21no—
501#435—21no—
502#435—21no—
503#435—21no—
504#435—21no—
505#435D411yescharacteristic
506#435D411yescharacteristic
507#435D411yescharacteristic
508#435D411yescharacteristic
509C8×D4—21no—
510C8×D4—21no—
511C8×D4—21no—
512C8×D4—21no—
513C8×D4—21no—
514C8×D4C2311yescharacteristic
515C8×D4C2311yescharacteristic
516C8×D4C2311yescharacteristic
517C8×D4C2311yescharacteristic
518#433—21no—
519#433—21no—
520#433—21no—
521#433—21no—
522#432—21no—
523#432—21no—
524#432C2311yescharacteristic
525#432C2311yescharacteristic
526#432C2311yescharacteristic
527#432C2311yescharacteristic
528#432C2311yescharacteristic
529#432C2311yescharacteristic
530#431C2311yescharacteristic
531#431C2311yescharacteristic
532#431C2311yescharacteristic
533#431C2311yescharacteristic
534#431C2311yescharacteristic
535#431C2311yescharacteristic
536#428—21no—
537#428—21no—
538#428—21no—
539#428—21no—
540#428—21no—
541C2×#106—21no—
542C2×#106—21no—
543C2×#106—21no—
544C2×#106—21no—
545#424—21no—
546#424—21no—
547#423—21no—
548#423C2311yescharacteristic
549#423C2311yescharacteristic
550#423C2311yescharacteristic
551C2×C4⋊C8C2311yescharacteristic
552C2×C4⋊C8C2311yescharacteristic
553C2×C4⋊C8C2311yescharacteristic
554C2×C4⋊C8C2311yescharacteristic
555C2×C4⋊C8C2311yescharacteristic
556C2×C4⋊C8C2311yescharacteristic
557#417—21no—
558#417—21no—
559#416—21no—
560C2×#103—21no—
561C2×#102—21no—
562C2×#102—21no—
563#408—21no—
564#408—21no—
565#408—21no—
566#407—21no—
567#407—21no—
568#407—21no—
569#407—21no—
570C2×C22⋊C8—21no—
571C2×C22⋊C8—21no—
572#405—21no—
573#405—21no—
574C4×M16—21no—
575C4×M16C2311yescharacteristic
576C4×M16C2311yescharacteristic
577C2×C4×C8C2311yescharacteristic
578#335C2311yescharacteristic
579#335C2311yescharacteristic
580#335C2311yescharacteristic
581#335C2311yescharacteristic
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#335C2311yescharacteristic
585#335C2311yescharacteristic
586#335C2311yescharacteristic
587#335C2311yescharacteristic
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#333C2311yescharacteristic
603#333C2311yescharacteristic
604#333C2311yescharacteristic
605#333C2311yescharacteristic
606#333C2311yescharacteristic
607#333C2311yescharacteristic
608#333C2311yescharacteristic
609#333C2311yescharacteristic
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
6262−1+4—84no—
627C2×#41—21no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—21no—
631C2×#41—21no—
632C2×#41—21no—
633C2×#41—21no—
634C2×#41—41no—
635C2×#41—41no—
636C2×#41—41no—
637C2×#41C2×D411yescharacteristic
638C2×#41#4111yescharacteristic
639C22×Q8—21no—
640C22×Q8—21no—
641C22×Q8—21no—
642C22×Q8—21no—
643C22×Q8—41no—
644C22×D4—21no—
645C22×D4C2×D411yescharacteristic
646C22×D4C2×D411yescharacteristic
647C23×C4—21no—
648C23×C4—21no—
649AGL(1,ℤ/8)—82no—
650#135—82no—
651C2×Q16—21no—
652C2×Q16—21no—
653C2×SD16—21no—
654C2×SD16—21no—
655C2×SD16—21no—
656C2×SD16—21no—
657C2×SD16—21no—
658C2×SD16—21no—
659C2×SD16—21no—
660C2×SD16—21no—
661C2×SD16—82no—
662C2×D8—21no—
663C2×D8—21no—
664C2×D8—21no—
665C2×D8—21no—
666C2×D8—21no—
667C2×D8—21no—
668C2×D8—21no—
669C2×D8—21no—
670#131—82no—
671C2×M16—21no—
672C2×M16—21no—
673C2×M16—21no—
674C2×M16—21no—
675C2×M16—21no—
676C2×M16—21no—
677C2×M16—21no—
678C2×M16—21no—
679C2×M16—21no—
680C2×M16—21no—
681C2×M16—21no—
682C2×M16—82no—
683C2×M16—82no—
684C2×M16C2×D411yescharacteristic
685C2×M16C2×D411yescharacteristic
686C2×M16C2×D411yescharacteristic
687C2×M16C2×D411yescharacteristic
688C22×C8—21no—
689C22×C8—21no—
690C22×C8—21no—
691C22×C8—21no—
692C22×C8—21no—
693C22×C8—21no—
694C22×C8—21no—
695C22×C8—21no—
696C22×C8—21no—
697C22×C8—21no—
698C22×C8C2×D411yescharacteristic
699C22×C8C2×D411yescharacteristic
700C4⋊Q8—21no—
701C4⋊Q8—21no—
702C4⋊Q8—21no—
703C4⋊Q8—21no—
704C4⋊Q8—21no—
705C4⋊Q8—21no—
706C4⋊Q8—21no—
707C4⋊Q8—21no—
708C4⋊Q8—21no—
709C4⋊Q8—21no—
710C4⋊Q8—21no—
711C4⋊Q8—21no—
712C4⋊Q8C2×D411yescharacteristic
713C4⋊Q8C2411yescharacteristic
714C4⋊Q8C2411yescharacteristic
715C4⋊Q8C2411yescharacteristic
716C4⋊Q8C2411yescharacteristic
717C4⋊Q8C2411yescharacteristic
718C4⋊Q8C2411yescharacteristic
719#127C2×D411yescharacteristic
720#127C2411yescharacteristic
721#127C2411yescharacteristic
722#126—21no—
723#126—21no—
724#126—21no—
725#126—21no—
726#126—41no—
727#126—41no—
728#125—21no—
729#125—21no—
730#125—21no—
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—41no—
742#124—41no—
743#124C2×D411yescharacteristic
744#124C2×D411yescharacteristic
745#123—21no—
746#123—21no—
747#123—21no—
748#123—21no—
749#123—21no—
750#123—21no—
751#123—21no—
752#123—21no—
753#123—41no—
754#123—41no—
755#123—41no—
756#123—41no—
757#123—41no—
758#123—41no—
759#123—41no—
760#123—41no—
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—41no—
771C22⋊Q8—41no—
772C22⋊Q8—41no—
773C22⋊Q8—41no—
774C22⋊Q8—41no—
775C22⋊Q8—41no—
776C22⋊Q8—41no—
777C22⋊Q8—41no—
778C22⋊Q8—41no—
779C22⋊Q8C2×D411yescharacteristic
780C22⋊Q8C2×D411yescharacteristic
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—21no—
799#121—41no—
800#121—41no—
801#121—41no—
802#121C2×D411yescharacteristic
803#121C2×D411yescharacteristic
804#121C2×D411yescharacteristic
805#121C2×D411yescharacteristic
806#120—21no—
807#120—21no—
808#120—21no—
809#120—21no—
810C4×Q8—21no—
811C4×Q8—21no—
812C4×Q8—21no—
813C4×Q8—21no—
814C4×Q8C2×D411yescharacteristic
815C4×Q8C2×D411yescharacteristic
816C4×Q8C2×D411yescharacteristic
817C4×Q8C2411yescharacteristic
818C4×D4—21no—
819C4×D4—21no—
820C4×D4—21no—
821C4×D4—21no—
822C4×D4—21no—
823C4×D4—21no—
824C4×D4—21no—
825C4×D4—21no—
826C4×D4—21no—
827C4×D4—21no—
828C4×D4—21no—
829C4×D4—21no—
830C4×D4—21no—
831C4×D4—21no—
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—41no—
844C4×D4—41no—
845C4×D4C2×D411yescharacteristic
846C4×D4C2×D411yescharacteristic
847C4×D4C2×D411yescharacteristic
848C4×D4C2×D411yescharacteristic
849C4×D4C2×D411yescharacteristic
850C4×D4C2×D411yescharacteristic
851C4×D4C2×D411yescharacteristic
852C4×D4C2×D411yescharacteristic
853C4×D4C2×D411yescharacteristic
854C4×D4C2×D411yescharacteristic
855C4×D4C2×D411yescharacteristic
856C4×D4C2411yescharacteristic
857C4×D4C2411yescharacteristic
858C4×D4C2411yescharacteristic
859#117—21no—
860#117—21no—
861#117—21no—
862#117—21no—
863#117—21no—
864#117—41no—
865#117C2×D411yescharacteristic
866#117#4111yescharacteristic
867#117#4111yescharacteristic
868#117#4111yescharacteristic
869C2×C4⋊C4—21no—
870C2×C4⋊C4—21no—
871C2×C4⋊C4—21no—
872C2×C4⋊C4—21no—
873C2×C4⋊C4—21no—
874C2×C4⋊C4—21no—
875C2×C4⋊C4—21no—
876C2×C4⋊C4—21no—
877C2×C4⋊C4—21no—
878C2×C4⋊C4—41no—
879C2×C4⋊C4C2×D411yescharacteristic
880C2×C4⋊C4C2×D411yescharacteristic
881C2×C22⋊C4—21no—
882C2×C22⋊C4—21no—
883C2×C22⋊C4—21no—
884C2×C22⋊C4—21no—
885C2×C42—21no—
886C2×C42C2411yescharacteristic
887C2×C42C2411yescharacteristic
888C2×C42C2411yescharacteristic
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#107—21no—
898#107—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—
909#106—21no—
910#106—21no—
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—
923C4⋊C8—21no—
924C4⋊C8—21no—
925C4⋊C8—21no—
926C4⋊C8—21no—
927C4⋊C8—21no—
928C4⋊C8—21no—
929C4⋊C8—21no—
930C4⋊C8—21no—
931C4⋊C8—21no—
932C4⋊C8—21no—
933C4⋊C8—21no—
934C4⋊C8—21no—
935C4⋊C8—21no—
936C4⋊C8C2×D411yescharacteristic
937C4⋊C8C2×D411yescharacteristic
938C4⋊C8C2×D411yescharacteristic
939C4⋊C8C2×D411yescharacteristic
940C4⋊C8C2×D411yescharacteristic
941C4⋊C8C2×D411yescharacteristic
942C4⋊C8C2411yescharacteristic
943C4⋊C8C2411yescharacteristic
944C4⋊C8C2411yescharacteristic
945C4⋊C8C2411yescharacteristic
946C4⋊C8C2411yescharacteristic
947C4⋊C8C2411yescharacteristic
948C4⋊C8C2411yescharacteristic
949C4⋊C8C2411yescharacteristic
950C4⋊C8C2411yescharacteristic
951C4⋊C8C2411yescharacteristic
952C4⋊C8C2411yescharacteristic
953C4⋊C8C2411yescharacteristic
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#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—
990#102—21no—
991#102—21no—
992#102—21no—
993#102—21no—
994#102—21no—
995#102—21no—
996#102—21no—
997#102—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⋊C8—21no—
1014C22⋊C8—21no—
1015C22⋊C8—21no—
1016C22⋊C8—21no—
1017C22⋊C8—21no—
1018C22⋊C8—21no—
1019C22⋊C8C2×D411yescharacteristic
1020C22⋊C8C2×D411yescharacteristic
1021C22⋊C8C2×D411yescharacteristic
1022C22⋊C8C2×D411yescharacteristic
1023C22⋊C8C2×D411yescharacteristic
1024C22⋊C8C2×D411yescharacteristic
1025#97—21no—
1026#97—21no—
1027#97—21no—
1028#97—21no—
1029#97—21no—
1030#97—21no—
1031#97—21no—
1032#97—21no—
1033#97C2×D411yescharacteristic
1034#97C2×D411yescharacteristic
1035#97C2×D411yescharacteristic
1036#97C2×D411yescharacteristic
1037C4×C8—21no—
1038C4×C8—21no—
1039C4×C8—21no—
1040C4×C8—21no—
1041C4×C8—21no—
1042C4×C8C2×D411yescharacteristic
1043C4×C8C2×D411yescharacteristic
1044C4×C8C2411yescharacteristic
1045C4×C8C2411yescharacteristic
1046C4×C8C2411yescharacteristic
1047C4×C8C2411yescharacteristic
1048C24—21no—
1049C24—21no—
1050#41—42no—
1051#41—41no—
1052#41—41no—
1053#41—81no—
1054#41—81no—
1055#41—82no—
1056#41—82no—
1057#41—81no—
1058#41—81no—
1059#41—81no—
1060#41—81no—
1061#41—82no—
1062#41—82no—
1063#41—84no—
1064#41—84no—
1065#41—84no—
1066C2×Q8—21no—
1067C2×Q8—21no—
1068C2×Q8—21no—
1069C2×Q8—21no—
1070C2×Q8—21no—
1071C2×Q8—21no—
1072C2×Q8—21no—
1073C2×Q8—41no—
1074C2×Q8—41no—
1075C2×Q8—41no—
1076C2×Q8—41no—
1077C2×Q8—82no—
1078C2×Q8—81no—
1079C2×Q8—81no—
1080C2×Q8—82no—
1081C2×Q8—82no—
1082C2×Q8—84no—
1083C2×Q8#12111yescharacteristic
1084C2×Q8C22×D411yescharacteristic
1085C2×D4—21no—
1086C2×D4—21no—
1087C2×D4—21no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—41no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—41no—
1109C2×D4—41no—
1110C2×D4—82no—
1111C2×D4#12111yescharacteristic
1112C2×D4#12111yescharacteristic
1113C2×D4#12111yescharacteristic
1114C2×D4C22×D411yescharacteristic
1115C2×D4C22×D411yescharacteristic
1116C2×D4C22×D411yescharacteristic
1117C22×C4—21no—
1118C22×C4—21no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—21no—
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—41no—
1137C22×C4—41no—
1138C22×C4—81no—
1139C22×C4—81no—
1140C22×C4—81no—
1141C22×C4—81no—
1142C22×C4C22×D411yescharacteristic
1143C22×C4C22×D411yescharacteristic
1144C22×C4C22×D411yescharacteristic
1145C22×C4C22×D411yescharacteristic
1146C22×C4C22×D411yescharacteristic
1147C22×C4C22×D411yescharacteristic
1148C22×C4C2×#4111yescharacteristic
1149C22×C4C2×#4111yescharacteristic
1150C22×C4C2×#4111yescharacteristic
1151Q16—81no—
1152Q16—81no—
1153SD16—42no—
1154SD16—42no—
1155SD16—81no—
1156SD16—81no—
1157SD16—81no—
1158SD16—81no—
1159SD16—81no—
1160SD16—81no—
1161D8—42no—
1162D8—42no—
1163D8—42no—
1164D8—42no—
1165D8—81no—
1166D8—81no—
1167D8—81no—
1168D8—81no—
1169M16—22no—
1170M16—22no—
1171M16—41no—
1172M16—41no—
1173M16—42no—
1174M16—42no—
1175M16—81no—
1176M16—81no—
1177M16—81no—
1178M16—81no—
1179M16—81no—
1180M16—81no—
1181M16—81no—
1182M16—81no—
1183M16—81no—
1184C2×C8—22no—
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—21no—
1195C2×C8—21no—
1196C2×C8—21no—
1197C2×C8—41no—
1198C2×C8—42no—
1199C2×C8—81no—
1200C2×C8—81no—
1201C2×C8—81no—
1202C2×C8—81no—
1203C2×C8—81no—
1204C2×C8—81no—
1205C2×C8—81no—
1206C2×C8—81no—
1207C2×C8—81no—
1208C2×C8C22×D411yescharacteristic
1209C2×C8C22×D411yescharacteristic
1210C2×C8C22×D411yescharacteristic
1211C2×C8C22×D411yescharacteristic
1212C2×C8C22×D411yescharacteristic
1213C2×C8C22×D411yescharacteristic
1214C2×C8C22×D411yescharacteristic
1215C2×C8C22×D411yescharacteristic
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—21no—
1235C4⋊C4—21no—
1236C4⋊C4—21no—
1237C4⋊C4—21no—
1238C4⋊C4—21no—
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#12111yescharacteristic
1252C4⋊C4#12111yescharacteristic
1253C4⋊C4#12111yescharacteristic
1254C4⋊C4#12111yescharacteristic
1255C4⋊C4#12111yescharacteristic
1256C4⋊C4#12111yescharacteristic
1257C4⋊C4C22×D411yescharacteristic
1258C4⋊C4C22×D411yescharacteristic
1259C4⋊C4C22×D411yescharacteristic
1260C4⋊C4C22×D411yescharacteristic
1261C22⋊C4—21no—
1262C22⋊C4—21no—
1263C22⋊C4—21no—
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—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
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#12111yescharacteristic
1295C22⋊C4#12111yescharacteristic
1296C22⋊C4#12111yescharacteristic
1297C22⋊C4#12111yescharacteristic
1298C22⋊C4#12111yescharacteristic
1299C22⋊C4#12111yescharacteristic
1300C42—21no—
1301C42—21no—
1302C42—21no—
1303C42—41no—
1304C42—41no—
1305C42C22×D411yescharacteristic
1306C42C22×D411yescharacteristic
1307C42C22×D411yescharacteristic
1308C42C22×D411yescharacteristic
1309C42C22×D411yescharacteristic
1310C42C22×D411yescharacteristic
1311C42C2×#4111yescharacteristic
1312C42C2×#4111yescharacteristic
1313C42C2×#4111yescharacteristic
1314C42C2511yescharacteristic
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—42no—
1319C23—41no—
1320C23—41no—
1321C23—81no—
1322C23—81no—
1323C23—81no—
1324C23—81no—
1325C23—81no—
1326C23C2×#12111yescharacteristic
1327C23C2×#12111yescharacteristic
1328C23C2×#12111yescharacteristic
1329Q8—21no—
1330Q8—21no—
1331Q8—41no—
1332Q8—41no—
1333Q8—41no—
1334Q8—41no—
1335Q8—41no—
1336Q8—81no—
1337Q8—81no—
1338Q8—81no—
1339Q8—81no—
1340Q8—81no—
1341Q8—82no—
1342Q8—82no—
1343Q8—82no—
1344Q8—161no—
1345D4—22no—
1346D4—22no—
1347D4—21no—
1348D4—21no—
1349D4—21no—
1350D4—21no—
1351D4—21no—
1352D4—21no—
1353D4—41no—
1354D4—42no—
1355D4—41no—
1356D4—41no—
1357D4—41no—
1358D4—41no—
1359D4—41no—
1360D4—41no—
1361D4—41no—
1362D4—41no—
1363D4—81no—
1364D4—81no—
1365D4—81no—
1366D4—81no—
1367D4—81no—
1368D4—81no—
1369D4—81no—
1370D4—81no—
1371D4—81no—
1372D4—81no—
1373D4—82no—
1374D4—82no—
1375D4—82no—
1376D4—82no—
1377D4—161no—
1378D4—161no—
1379C2×C4—22no—
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—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
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—41no—
1409C2×C4—41no—
1410C2×C4—41no—
1411C2×C4—81no—
1412C2×C4—81no—
1413C2×C4—81no—
1414C2×C4—81no—
1415C2×C4—81no—
1416C2×C4—81no—
1417C2×C4—82no—
1418C2×C4—82no—
1419C2×C4—82no—
1420C2×C4—82no—
1421C2×C4—81no—
1422C2×C4—81no—
1423C2×C4—82no—
1424C2×C4—82no—
1425C2×C4—82no—
1426C2×C4—161no—
1427C2×C4—161no—
1428C2×C4—161no—
1429C2×C4C2×#12111yescharacteristic
1430C2×C4C2×#12111yescharacteristic
1431C2×C4C2×#12111yescharacteristic
1432C2×C4C2×#12111yescharacteristic
1433C2×C4C2×#12111yescharacteristic
1434C2×C4C2×#12111yescharacteristic
1435C2×C4C2×#12111yescharacteristic
1436C2×C4C2×#12111yescharacteristic
1437C2×C4C2×#12111yescharacteristic
1438C2×C4C23×D411yescharacteristic
1439C2×C4C23×D411yescharacteristic
1440C2×C4C22×#4111yescharacteristic
1441C8—21no—
1442C8—21no—
1443C8—21no—
1444C8—21no—
1445C8—21no—
1446C8—21no—
1447C8—21no—
1448C8—41no—
1449C8—41no—
1450C8—41no—
1451C8—41no—
1452C8—41no—
1453C8—41no—
1454C8—41no—
1455C8—41no—
1456C8—41no—
1457C8—41no—
1458C8—41no—
1459C8—41no—
1460C8#57712yes—
1461C22—21no—
1462C22—21no—
1463C22—21no—
1464C22—21no—
1465C22—21no—
1466C22—21no—
1467C22—21no—
1468C22—21no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—81no—
1479C22—81no—
1480C22—81no—
1481C22—81no—
1482C22—81no—
1483C22—81no—
1484C22—162no—
1485C22—162no—
1486C22#306812yes—
1487C22C22×#12111yescharacteristic
1488C4—21no—
1489C4—21no—
1490C4—21no—
1491C4—21no—
1492C4—21no—
1493C4—21no—
1494C4—21no—
1495C4—21no—
1496C4—21no—
1497C4—21no—
1498C4—41no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—81no—
1504C4—81no—
1505C4—81no—
1506C4—81no—
1507C4—81no—
1508C4—81no—
1509C4C2×#57711yescharacteristic
1510C4#358511yescharacteristic
1511C4#358611yescharacteristic
1512C4#358611yescharacteristic
1513C2—22no—
1514C2—41no—
1515C2—41no—
1516C2—81no—
1517C2—81no—
1518C2—81no—
1519C2—161no—
1520C2—161no—
1521C2#6042911yescharacteristic
1522C2#6046011yescharacteristic
1523C2C2×#306811yescharacteristic
subgroupG/H
center, socleC22C22×#121
commutator, Frattini, cosocleC42C25
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22 ◁ C4×#41 ◁ G
LECSG ▷ C42 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #62477C2semidirect
2. #62128C2semidirect
3. #61978C2semidirect
4. #60324C2semidirect
5. #19591C2semidirect
6. #19589C2semidirect
7. #19551C2semidirect
8. #19544C2semidirect
9. #19519C2semidirect
10. #19513C2semidirect
11. #19465C2semidirect
12. #19462C2semidirect
13. #19455C2semidirect
14. #19450C2semidirect
15. #19430C2semidirect
16. #19427C2semidirect
17. #19379C2semidirect
18. #19370C2semidirect
19. #19357C2semidirect
20. #19323C2semidirect
21. #19306C2semidirect
22. #19283C2semidirect
23. #19250C2semidirect
24. #19233C2semidirect
25. #19222C2semidirect
26. #19184C2semidirect
27. #19165C2semidirect
28. C2×#1691C2semidirect
29. #17840C2semidirect
30. #17779C2semidirect
31. #17775C2semidirect
67. #3228C22semidirect
68. #3228C22semidirect
70. #3227C22semidirect
71. #3227C22semidirect
72. #3227C22semidirect
73. #3226C22semidirect
77. #3184C22semidirect
78. #3184C22semidirect
79. #3169C22semidirect
80. #3165C22semidirect
81. #3165C22semidirect
82. C2×#498C22semidirect
119. #1702C22semidirect
122. #1701C22semidirect
123. #1698C22semidirect
124. #1698C22semidirect
125. #1698C22semidirect
130. #1697C22semidirect
131. #1697C22semidirect
132. #1697C22semidirect
133. #1697C22semidirect
134. #1697C22semidirect
135. #1696C22semidirect
139. #1695C22semidirect
140. #1695C22semidirect
141. #1692C22semidirect
142. #1692C22semidirect
143. #1692C22semidirect
150. #1691C22semidirect
151. #1691C22semidirect
152. #1691C22semidirect
153. #1691C22semidirect
154. #1691C22semidirect
155. #1691C22semidirect
156. #1691C22semidirect
158. #1687C22semidirect
159. #1682C22semidirect
160. #1681C22semidirect
161. #1681C22semidirect
162. #1681C22semidirect
163. #1678C22semidirect
164. #1677C22semidirect
165. #1677C22semidirect
166. #1677C22semidirect
167. #1676C22semidirect
168. #1676C22semidirect
169. #1675C22semidirect
170. #1675C22semidirect
171. #1675C22semidirect
172. #1675C22semidirect
173. #1672C22semidirect
174. #1672C22semidirect
175. #1672C22semidirect
176. #1671C22semidirect
177. #1671C22semidirect
178. #1671C22semidirect
179. #1671C22semidirect
180. #1671C22semidirect
181. #1668C22semidirect
182. #1667C22semidirect
183. #1573C22semidirect
184. #1573C22semidirect
185. #1572C22semidirect
186. #1572C22semidirect
187. #1571C22semidirect
188. #1571C22semidirect
189. #1569C22semidirect
190. #1569C22semidirect
191. #1568C22semidirect
192. #1565C22semidirect
193. #1565C22semidirect
194. C2×#335C22semidirect
195. #1560C22semidirect
196. #1559C22semidirect
197. #1558C22semidirect
198. #1558C22semidirect
199. #1557C22semidirect
200. #1556C22semidirect
201. #1554C22semidirect
202. #1553C22semidirect
203. #1551C22semidirect
204. #1551C22semidirect
205. #1551C22semidirect
206. #1551C22semidirect
207. #1551C22semidirect
208. #1551C22semidirect
209. #1550C22semidirect
210. #1548C22semidirect
211. #1548C22semidirect
212. #1547C22semidirect
213. #1543C22semidirect
214. #1542C22semidirect
215. C2×#333C22semidirect
216. C2×#333C22semidirect
217. #1540C22semidirect
218. C2×#332C22semidirect

Maximal subgroups

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

subgroupindex
#624772
#621282
#619782
#603242
#195912
#195892
#195512
#195442
#195192
#195132
#194652
#194622
#194552
#194502
#194302
#194272
#193792
#193702
#193572
#193232
#193062
#192832
#192502
#192332
#192222
#191842
#191652
C2×#16912
#178402
#177792
#177752