Finite Group Databasebeta

← #11708910

Subgroups — #11708910

Order 768.

6184 conjugacy classes of subgroups.

The subgroup lattice has 1736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#3553C211yesmaximal, characteristic, complemented
2D3×#564C211yesmaximal, characteristic, complemented
3#87140C211yesmaximal, characteristic, complemented
4#87136C212yesmaximal, complemented
5#87136C212yesmaximal, complemented
6#87112C211yesmaximal, characteristic, complemented
7#87094C211yesmaximal, characteristic, complemented
8#86943C214yesmaximal, complemented
9#86927C214yesmaximal, complemented
10#86899C214yesmaximal, complemented
11#86884C214yesmaximal, complemented
12#86869C214yesmaximal, complemented
13#86851C214yesmaximal, complemented
14#86519C214yesmaximal, complemented
15#86502C214yesmaximal, complemented
16#86463C214yesmaximal, complemented
17#86445C214yesmaximal, complemented
18#86445C214yesmaximal, complemented
19#86432C214yesmaximal, complemented
20#86164C212yesmaximal, complemented
21#86142C212yesmaximal, complemented
22#86098C211yesmaximal, characteristic, complemented
23C2×C3⋊#564C211yesmaximal, characteristic, complemented
24#63067—31nomaximal, Sylow
25C3×#564C2211yescharacteristic
26C3×#563C2212yes—
27C3×#562C2211yescharacteristic
28C3×#554C2214yes—
29C3×#553C2214yes—
30C3×#552C2214yes—
31C3×#541C2214yes—
32C3×#539C2214yes—
33C3×#539C2214yes—
34C3×#529C2212yes—
35C2×C3×#125C2211yescharacteristic
36#5729C2214yes—
37#5729C2214yes—
38#5721C2214yes—
39#5721C2214yes—
40#5712C2214yes—
41#5708C2214yes—
42#5708C2214yes—
43#5708C2214yes—
44#5708C2214yes—
45#5708C2214yes—
46#5707C2214yes—
47#5706C2214yes—
48#5701C2214yes—
49#5701C2214yes—
50#5701C2214yes—
51#5701C2214yes—
52#5701C2214yes—
53#5701C2214yes—
54#5701C2214yes—
55#5701C2214yes—
56#5701C2214yes—
57#5701C2214yes—
58#5701C2214yes—
59#5701C2214yes—
60#5696C2214yes—
61#5696C2214yes—
62#5696C2214yes—
63#5696C2214yes—
64#5693C2214yes—
65#5690C2214yes—
66#5689C2212yes—
67#5689C2212yes—
68#5689C2214yes—
69#5688C2211yescharacteristic
70#5688C2211yescharacteristic
71#5688C2212yes—
72D3×#125C2211yescharacteristic
73D3×#125C2211yescharacteristic
74D3×#125C2214yes—
75D3×#125C2212yes—
76D3×#125C2214yes—
77D3×#125C2214yes—
78C3⋊#564C2211yescharacteristic
79C3⋊#564C2214yes—
80C3⋊#564C2214yes—
81C3⋊#564C2211yescharacteristic
82C3⋊#564C2212yes—
83C3⋊#564C2214yes—
84C3⋊#564C2214yes—
85C3⋊#564C2214yes—
86C3⋊#564C2212yes—
87C3⋊#564C2212yes—
88C3⋊#564C2214yes—
89C3⋊#564C2214yes—
90C3⋊#564C2214yes—
91#5685C2214yes—
92#5685C2214yes—
93#5685C2214yes—
94#5685C2214yes—
95#5685C2214yes—
96#5685C2214yes—
97#5685C2214yes—
98#5680C2212yes—
99#5680C2212yes—
100#5672C2212yes—
101#5672C2212yes—
102#5665C2214yes—
103#5661C2214yes—
104#5660C2214yes—
105#5660C2214yes—
106#5660C2214yes—
107#5660C2214yes—
108#5655C2214yes—
109#5651C2214yes—
110#5651C2214yes—
111#5651C2214yes—
112#5650C2214yes—
113#5650C2214yes—
114#5650C2214yes—
115#5650C2214yes—
116#5650C2214yes—
117#5650C2214yes—
118#5650C2214yes—
119#5650C2214yes—
120#5650C2214yes—
121#5649C2214yes—
122#5646C2214yes—
123#5646C2214yes—
124#5642C2212yes—
125#5642C2214yes—
126#5639C2214yes—
127#5639C2214yes—
128#5638C2214yes—
129#5636C2214yes—
130#5636C2214yes—
131#5636C2214yes—
132#5636C2214yes—
133#5635C2214yes—
134#5635C2212yes—
135#5625C2214yes—
136#5625C2214yes—
137#5625C2214yes—
138#5625C2214yes—
139#5625C2214yes—
140#5623C2214yes—
141#5623C2214yes—
142#5623C2214yes—
143#5623C2214yes—
144#5623C2214yes—
145#5623C2214yes—
146#5622C2214yes—
147#5622C2214yes—
148#5622C2214yes—
149#5621C2214yes—
150#5618C2212yes—
151#5614C2214yes—
152#5611C2212yes—
153#5611C2214yes—
154#5602C2214yes—
155#5602C2214yes—
156#5602C2214yes—
157#5601C2214yes—
158#5600C2214yes—
159#5600C2214yes—
160#5583C2214yes—
161#5581C2212yes—
162#5578C2214yes—
163#5569C2214yes—
164#5569C2212yes—
165#5567C2214yes—
166#5567C2214yes—
167#5564C2214yes—
168#5564C2214yes—
169#5564C2214yes—
170#5558C2212yes—
171#5557C2214yes—
172#5546C2214yes—
173#5546C2214yes—
174#5543C2214yes—
175#5541C2214yes—
176#5541C2214yes—
177#5541C2214yes—
178#5541C2214yes—
179#5541C2214yes—
180#5539C2214yes—
181#5539C2214yes—
182#5539C2214yes—
183#5539C2212yes—
184#5538C2214yes—
185C4×#237C2214yes—
186#5531C2214yes—
187#5531C2214yes—
188#5529C2214yes—
189#5529C2214yes—
190#5519C2214yes—
191#5518C2214yes—
192#5518C2214yes—
193#5517C2214yes—
194#5513C2214yes—
195#5511C2214yes—
196#5511C2214yes—
197#5511C2214yes—
198#5504C2212yes—
199#5500C2212yes—
200#5500C2214yes—
201C2×#890C2214yes—
202C2×#889C2214yes—
203C2×#889C2214yes—
204C2×#889C2214yes—
205C4×#235C2211yescharacteristic
206#5470C2211yescharacteristic
207C2×#870C2212yes—
208#3563—32no—
209#3563—32no—
210#3563—34no—
211#3563—34no—
212#3563—34no—
213#3563—34no—
214#3563—34no—
215#3563—34no—
216#3563—32no—
217#3556—31no—
218#3556—34no—
219#3553—31no—
220#3553—34no—
221#3553—34no—
222#3553D311yescharacteristic, complemented
223#3531—31no—
224C2×#564—31no—
225C2×#564—31no—
226#3515—34no—
227#3515—34no—
228#3515—32no—
229#3504—34no—
230#3504—31no—
231C2×#237C2314yes—
232C2×#235C2311yescharacteristic
233C3×C4⋊Q8C2314yes—
234C3×#126C2314yes—
235C3×#126C2314yes—
236C3×#126C2314yes—
237C3×#126C2314yes—
238C3×#126C2314yes—
239C3×#125C2311yescharacteristic
240C3×#125C2311yescharacteristic
241C3×#125C2312yes—
242C3×#125C2314yes—
243C3×#125C2314yes—
244C3×#125C2314yes—
245C3×#125C2314yes—
246C3×#125C2314yes—
247C3×#125C2314yes—
248C3×#125C2312yes—
249C3×#124C2312yes—
250C3×#123C2314yes—
251C3×#123C2314yes—
252C3×#123C2314yes—
253C3×#123C2314yes—
254C3×#123C2314yes—
255C3×C22⋊Q8C2312yes—
256C3×C22⋊Q8C2314yes—
257C3×C22⋊Q8C2314yes—
258C3×C22⋊Q8C2314yes—
259C3×C22⋊Q8C2314yes—
260C3×C22⋊Q8C2314yes—
261C3×C22⋊Q8C2314yes—
262C3×#121C2314yes—
263C3×#121C2314yes—
264C3×#121C2312yes—
265C3×C4×Q8C2312yes—
266C3×C4×Q8C2314yes—
267C3×C4×D4C2314yes—
268C3×C4×D4C2314yes—
269C3×C4×D4C2312yes—
270C3×C4×D4C2314yes—
271C3×C4×D4C2314yes—
272C3×#117C2314yes—
273C3×#117C2314yes—
274C2×C3×C4⋊C4C2312yes—
275C2×C3×C4⋊C4C2314yes—
276C2×C3×C4⋊C4C2314yes—
277C2×C3×C42C2311yescharacteristic
278#946C2314yes—
279#946C2312yes—
280#946C2314yes—
281#946C2312yes—
282Q8×Dic3C2314yes—
283Q8×Dic3C2312yes—
284Q8×Dic3C2314yes—
285Q8×Dic3C2312yes—
286#944C2314yes—
287#944C2314yes—
288#944C2314yes—
289#944C2314yes—
290#944C2314yes—
291#944C2314yes—
292#939C2314yes—
293#939C2314yes—
294#938C2314yes—
295#938C2312yes—
296#938C2312yes—
297#936C2314yes—
298#935C2314yes—
299#935C2314yes—
300#935C2314yes—
301#935C2314yes—
302#935C2314yes—
303#935C2314yes—
304#935C2314yes—
305#935C2314yes—
306D4×Dic3C2314yes—
307D4×Dic3C2314yes—
308D4×Dic3C2312yes—
309D4×Dic3C2312yes—
310D4×Dic3C2314yes—
311D4×Dic3C2314yes—
312D4×Dic3C2314yes—
313#929C2314yes—
314#929C2314yes—
315C4×#67C2314yes—
316C4×#67C2312yes—
317C4×#67C2314yes—
318C4×#67C2314yes—
319C4×#67C2314yes—
320C4×#67C2314yes—
321C4×#67C2312yes—
322C4×#67C2314yes—
323#926C2314yes—
324#926C2314yes—
325#926C2312yes—
326#926C2311yescharacteristic
327#926C2314yes—
328#926C2314yes—
329C2×C4⋊Dic3C2314yes—
330C2×C4⋊Dic3C2312yes—
331C2×C4⋊Dic3C2312yes—
332C2×C4⋊Dic3C2314yes—
333#924C2314yes—
334#924C2314yes—
335#924C2314yes—
336#924C2314yes—
337#924C2314yes—
338#924C2314yes—
339#924C2314yes—
340#924C2314yes—
341#924C2314yes—
342#924C2314yes—
343#924C2314yes—
344C2×Dic3⋊C4C2314yes—
345C2×Dic3⋊C4C2314yes—
346C2×Dic3⋊C4C2314yes—
347C2×Dic3⋊C4C2314yes—
348C2×Dic3⋊C4C2314yes—
349C2×Dic3⋊C4C2314yes—
350C2×Dic3⋊C4C2314yes—
351C2×Dic3⋊C4C2314yes—
352C2×C4×Dic3C2314yes—
353C2×C4×Dic3C2314yes—
354#898C2314yes—
355#898C2314yes—
356#898C2314yes—
357#898C2314yes—
358#898C2314yes—
359#897C2314yes—
360#897C2314yes—
361#897C2314yes—
362#896C2314yes—
363#896C2314yes—
364#896C2314yes—
365#896C2314yes—
366#896C2314yes—
367#896C2314yes—
368#896C2314yes—
369#896C2314yes—
370#896C2314yes—
371#894C2314yes—
372#893C2314yes—
373#892C2312yes—
374#892C2312yes—
375#892C2314yes—
376#892C2314yes—
377#892C2312yes—
378#892C2312yes—
379D3×C4⋊C4C2312yes—
380D3×C4⋊C4C2314yes—
381D3×C4⋊C4C2312yes—
382D3×C4⋊C4C2314yes—
383D3×C4⋊C4C2314yes—
384D3×C4⋊C4C2314yes—
385D3×C4⋊C4C2314yes—
386D3×C4⋊C4C2312yes—
387D3×C4⋊C4C2314yes—
388D3×C4⋊C4C2314yes—
389D3×C4⋊C4C2312yes—
390#890C2314yes—
391#890C2314yes—
392#890C2314yes—
393#890C2314yes—
394#890C2312yes—
395#890C2314yes—
396#890C2314yes—
397#890C2314yes—
398#890C2314yes—
399#890C2312yes—
400#890C2314yes—
401#890C2314yes—
402#890C2314yes—
403#890C2314yes—
404#890C2314yes—
405#890C2314yes—
406#890C2314yes—
407#890C2314yes—
408#890C2314yes—
409#890C2314yes—
410#890C2314yes—
411#890C2312yes—
412#890C2314yes—
413#890C2314yes—
414#890C2312yes—
415#889C2314yes—
416#889C2314yes—
417#889C2314yes—
418#889C2314yes—
419#889C2314yes—
420#889C2314yes—
421#889C2314yes—
422#889C2314yes—
423#889C2314yes—
424#889C2314yes—
425#889C2314yes—
426#889C2314yes—
427#889C2314yes—
428#889C2314yes—
429#889C2314yes—
430#889C2314yes—
431#889C2314yes—
432#889C2314yes—
433#889C2314yes—
434#889C2314yes—
435#889C2314yes—
436#889C2314yes—
437#889C2314yes—
438#889C2314yes—
439#889C2314yes—
440#889C2314yes—
441#889C2314yes—
442#889C2314yes—
443#889C2314yes—
444#889C2314yes—
445#889C2314yes—
446#889C2314yes—
447#889C2314yes—
448#889C2314yes—
449#889C2314yes—
450#889C2314yes—
451#889C2314yes—
452#889C2314yes—
453#889C2314yes—
454#889C2314yes—
455#889C2314yes—
456#889C2314yes—
457#889C2314yes—
458#889C2314yes—
459#889C2314yes—
460#889C2314yes—
461#889C2314yes—
462#889C2314yes—
463#889C2314yes—
464#889C2314yes—
465#889C2314yes—
466#889C2314yes—
467#889C2314yes—
468#888C2314yes—
469#888C2312yes—
470#888C2314yes—
471#888C2314yes—
472#888C2312yes—
473#888C2314yes—
474#888C2314yes—
475#888C2314yes—
476#888C2314yes—
477#888C2314yes—
478#888C2312yes—
479#888C2314yes—
480#888C2314yes—
481#888C2312yes—
482#888C2314yes—
483#888C2314yes—
484#887C2314yes—
485#887C2314yes—
486#887C2314yes—
487#887C2314yes—
488#887C2314yes—
489#887C2314yes—
490#887C2314yes—
491#887C2314yes—
492#887C2314yes—
493#887C2314yes—
494#887C2314yes—
495#887C2314yes—
496#887C2314yes—
497#887C2314yes—
498#886C2314yes—
499#886C2314yes—
500#885C2314yes—
501#884C2314yes—
502#883C2314yes—
503#883C2314yes—
504#883C2314yes—
505#883C2314yes—
506#883C2314yes—
507#883C2314yes—
508#883C2314yes—
509#67⋊C4C2314yes—
510#67⋊C4C2314yes—
511#67⋊C4C2314yes—
512#67⋊C4C2314yes—
513#67⋊C4C2314yes—
514#67⋊C4C2314yes—
515#879C2314yes—
516#879C2314yes—
517#879C2314yes—
518#879C2314yes—
519#879C2314yes—
520#879C2314yes—
521#879C2314yes—
522#879C2314yes—
523#879C2314yes—
524#879C2314yes—
525#879C2314yes—
526#879C2314yes—
527#879C2314yes—
528#879C2314yes—
529#879C2314yes—
530#879C2314yes—
531#879C2314yes—
532#879C2314yes—
533#879C2314yes—
534#879C2314yes—
535#879C2314yes—
536#879C2314yes—
537#879C2314yes—
538#878C2314yes—
539#878C2314yes—
540#878C2314yes—
541#878C2314yes—
542#878C2314yes—
543#878C2314yes—
544#878C2314yes—
545#878C2314yes—
546#878C2314yes—
547#878C2314yes—
548#878C2314yes—
549#878C2314yes—
550#878C2314yes—
551#878C2314yes—
552#878C2314yes—
553#878C2314yes—
554#878C2314yes—
555#878C2314yes—
556#878C2314yes—
557#878C2314yes—
558#877C2314yes—
559#877C2314yes—
560#877C2314yes—
561#877C2314yes—
562#877C2314yes—
563#877C2314yes—
564#877C2314yes—
565#877C2314yes—
566#877C2314yes—
567#877C2314yes—
568#877C2314yes—
569#877C2314yes—
570#876C2314yes—
571#876C2314yes—
572C4×D12C2312yes—
573#872C2311yescharacteristic
574#872C2311yescharacteristic
575#872C2314yes—
576#872C2314yes—
577#872C2314yes—
578C42×D3C2311yescharacteristic
579C42×D3C2311yescharacteristic
580C42×D3C2314yes—
581#870C2311yescharacteristic
582#870C2311yescharacteristic
583#870C2312yes—
584#870C2312yes—
585#870C2314yes—
586#870C2314yes—
587#870C2314yes—
588#870C2312yes—
589#870C2312yes—
590#870C2314yes—
591#870C2314yes—
592#870C2314yes—
593#870C2314yes—
594#870C2314yes—
595#870C2314yes—
596#869C2312yes—
597#869C2314yes—
598C4×Dic6C2314yes—
599C4×Dic6C2314yes—
600C4×Dic6C2314yes—
601C4×Dic6C2312yes—
602C4×Dic6C2314yes—
603C4×Dic6C2314yes—
604C4×Dic6C2314yes—
605C4×Dic6C2314yes—
606C4×Dic6C2314yes—
607C4×Dic6C2314yes—
608C4×Dic6C2314yes—
609C4×Dic6C2314yes—
610#564—31no—
611#564—34no—
612#564—34no—
613#564—31no—
614#564—34no—
615#564—34no—
616#564—34no—
617#564—34no—
618#564—32no—
619#564—32no—
620#564—34no—
621#564—34no—
622#564—32no—
623#564C2×D311yescharacteristic
624#563—34no—
625#563—32no—
626#563—32no—
627#563—34no—
628#563—34no—
629#563—34no—
630#563—34no—
631#563—34no—
632#563C2×D312yes—
633#562—34no—
634#562C2×D311yescharacteristic
635#557—34no—
636#557—34no—
637#557—34no—
638#557—34no—
639#557—34no—
640#557—34no—
641#557—34no—
642#557—34no—
643#557—34no—
644#557—34no—
645#557—32no—
646#557—34no—
647#557—34no—
648#554—34no—
649#554—32no—
650#554—34no—
651#554—34no—
652#554—34no—
653#554—34no—
654#554—34no—
655#554—34no—
656#554—34no—
657#554—34no—
658#554—32no—
659#554—34no—
660#554—34no—
661#554—34no—
662#554—34no—
663#554C2×D314yes—
664#553—34no—
665#553—34no—
666#553—34no—
667#553—32no—
668#553—32no—
669#553C2×D314yes—
670#552—34no—
671#552—34no—
672#552—34no—
673#552—34no—
674#552—34no—
675#552—34no—
676#552—34no—
677#552—34no—
678#552—34no—
679#552—34no—
680#552—34no—
681#552—34no—
682#552—34no—
683#552—34no—
684#552—34no—
685#552—34no—
686#552—34no—
687#552—34no—
688#552—32no—
689#552—32no—
690#552—34no—
691#552—34no—
692#552—34no—
693#552—34no—
694#552—34no—
695#552—34no—
696#552—34no—
697#552—34no—
698#552—34no—
699#552—34no—
700#552C2×D314yes—
701#547—34no—
702#547—34no—
703#547—32no—
704#544—34no—
705#544—34no—
706#544—34no—
707#544—32no—
708#544—32no—
709#544—34no—
710#544—34no—
711#544—34no—
712#544—34no—
713#544—34no—
714#544—34no—
715#544—34no—
716#544—32no—
717#544—34no—
718#541—34no—
719#541—34no—
720#541—34no—
721#541—34no—
722#541—34no—
723#541—34no—
724#541—34no—
725#541—34no—
726#541—34no—
727#541—34no—
728#541—34no—
729#541—34no—
730#541—34no—
731#541—34no—
732#541—34no—
733#541—34no—
734#541—34no—
735#541—34no—
736#541—34no—
737#541—34no—
738#541—34no—
739#541—34no—
740#541—34no—
741#541—34no—
742#541C2×D314yes—
743#539—34no—
744#539—34no—
745#539—34no—
746#539—34no—
747#539—34no—
748#539—34no—
749#539—34no—
750#539—34no—
751#539—34no—
752#539—34no—
753#539—34no—
754#539—34no—
755#539—34no—
756#539C2×D314yes—
757#539C2×D314yes—
758#533—31no—
759#533—31no—
760#533—32no—
761#533—34no—
762#533—34no—
763#533—34no—
764#533—34no—
765#533—34no—
766#533—31no—
767#529—34no—
768#529—32no—
769#529—32no—
770#529—34no—
771#529—34no—
772#529—34no—
773#529—34no—
774#529—34no—
775#529C2×D312yes—
776C2×#125—34no—
777C2×#125—31no—
778C2×#125—31no—
779C2×#125—34no—
780C2×#125—34no—
781C2×#125—32no—
782C2×#125—34no—
783C2×#125—34no—
784C2×#125—34no—
785C2×#125—34no—
786C2×#125—32no—
787C2×#125C2×D311yescharacteristic
788#520—34no—
789#520—34no—
790#520—32no—
791C4×#41—34no—
792C4×#41—31no—
793C2×C3×Q8C2414yes—
794C2×C3×Q8C2412yes—
795C2×C3×D4C2414yes—
796C2×C3×D4C2412yes—
797C2×C3×D4C2414yes—
798C22×C3×C4C2411yescharacteristic
799C22×C3×C4C2414yes—
800C22×C3×C4C2414yes—
801C22×C3×C4C2412yes—
802C22×C3×C4C2414yes—
803C22×C3×C4C2414yes—
804C2×#67C2414yes—
805C2×#67C2411yescharacteristic
806C2×#67C2414yes—
807C2×#67C2411yescharacteristic
808C22×Dic3C2414yes—
809C22×Dic3C2414yes—
810C22×Dic3C2414yes—
811C22×Dic3C2414yes—
812C22×Dic3C2414yes—
813C22×Dic3C2414yes—
814#237—216no—
815#235—24no—
816C2×D12C2411yescharacteristic
817C2×C4×D3C2414yes—
818C2×C4×D3C2411yescharacteristic
819C2×C4×D3C2411yescharacteristic
820C2×C4×D3C2412yes—
821C2×C4×D3C2412yes—
822C2×C4×D3C2414yes—
823C2×C4×D3C2414yes—
824C2×C4×D3C2414yes—
825C2×Dic6C2414yes—
826C2×Dic6C2411yescharacteristic
827C2×Dic6C2414yes—
828C2×Dic6C2414yes—
829C2×Dic6C2414yes—
830C2×Dic6C2414yes—
831C2×Dic6C2414yes—
832C2×Dic6C2414yes—
833C3×C4⋊C4C2414yes—
834C3×C4⋊C4C2414yes—
835C3×C4⋊C4C2414yes—
836C3×C4⋊C4C2414yes—
837C3×C4⋊C4C2414yes—
838C3×C4⋊C4C2414yes—
839C3×C4⋊C4C2414yes—
840C3×C4⋊C4C2414yes—
841C3×C4⋊C4C2414yes—
842C3×C4⋊C4C2414yes—
843C3×C4⋊C4C2414yes—
844C3×C4⋊C4C2414yes—
845C3×C4⋊C4C2414yes—
846C3×C4⋊C4C2412yes—
847C3×C4⋊C4C2412yes—
848C3×C4⋊C4C2412yes—
849C3×C4⋊C4C2412yes—
850C3×C4⋊C4C2414yes—
851C3×C4⋊C4C2414yes—
852C3×C22⋊C4C2414yes—
853C3×C22⋊C4C2414yes—
854C3×C22⋊C4C2414yes—
855C3×C22⋊C4C2414yes—
856C3×C22⋊C4C2414yes—
857C3×C22⋊C4C2414yes—
858C3×C22⋊C4C2414yes—
859C3×C22⋊C4C2414yes—
860C3×C22⋊C4C2414yes—
861C3×C42C2414yes—
862C3×C42C2414yes—
863C3×C42C2412yes—
864C3×C42C2414yes—
865C3×C42C2411yescharacteristic
866C3×C42C2411yescharacteristic
867#217C2414yes—
868#217C2412yes—
869#217C2414yes—
870#217C2414yes—
871#217C2414yes—
872#217C2414yes—
873#217C2414yes—
874#217C2414yes—
875#217C2414yes—
876#217C2414yes—
877#217C2414yes—
878#217C2414yes—
879(C2×D3)⋊C4C2412yes—
880(C2×D3)⋊C4C2414yes—
881(C2×D3)⋊C4C2412yes—
882(C2×D3)⋊C4C2414yes—
883(C2×D3)⋊C4C2414yes—
884(C2×D3)⋊C4C2414yes—
885(C2×D3)⋊C4C2414yes—
886(C2×D3)⋊C4C2414yes—
887C4⋊Dic3C2414yes—
888C4⋊Dic3C2414yes—
889C4⋊Dic3C2414yes—
890C4⋊Dic3C2414yes—
891C4⋊Dic3C2414yes—
892C4⋊Dic3C2414yes—
893C4⋊Dic3C2414yes—
894C4⋊Dic3C2414yes—
895C4⋊Dic3C2412yes—
896C4⋊Dic3C2414yes—
897C4⋊Dic3C2414yes—
898C4⋊Dic3C2414yes—
899C4⋊Dic3C2412yes—
900C4⋊Dic3C2412yes—
901C4⋊Dic3C2412yes—
902C4⋊Dic3C2412yes—
903C4⋊Dic3C2412yes—
904C4⋊Dic3C2412yes—
905C4⋊Dic3C2414yes—
906C4⋊Dic3C2414yes—
907C4⋊Dic3C2414yes—
908C4⋊Dic3C2414yes—
909C4⋊Dic3C2414yes—
910C4⋊Dic3C2414yes—
911Dic3⋊C4C2412yes—
912Dic3⋊C4C2414yes—
913Dic3⋊C4C2414yes—
914Dic3⋊C4C2412yes—
915Dic3⋊C4C2414yes—
916Dic3⋊C4C2414yes—
917Dic3⋊C4C2414yes—
918Dic3⋊C4C2414yes—
919Dic3⋊C4C2414yes—
920Dic3⋊C4C2414yes—
921Dic3⋊C4C2414yes—
922Dic3⋊C4C2414yes—
923Dic3⋊C4C2414yes—
924Dic3⋊C4C2414yes—
925Dic3⋊C4C2414yes—
926Dic3⋊C4C2414yes—
927Dic3⋊C4C2414yes—
928Dic3⋊C4C2414yes—
929Dic3⋊C4C2414yes—
930Dic3⋊C4C2414yes—
931Dic3⋊C4C2414yes—
932Dic3⋊C4C2414yes—
933Dic3⋊C4C2414yes—
934Dic3⋊C4C2414yes—
935Dic3⋊C4C2414yes—
936Dic3⋊C4C2414yes—
937Dic3⋊C4C2414yes—
938Dic3⋊C4C2414yes—
939Dic3⋊C4C2414yes—
940Dic3⋊C4C2414yes—
941Dic3⋊C4C2414yes—
942Dic3⋊C4C2414yes—
943Dic3⋊C4C2414yes—
944Dic3⋊C4C2414yes—
945Dic3⋊C4C2414yes—
946Dic3⋊C4C2414yes—
947Dic3⋊C4C2414yes—
948Dic3⋊C4C2414yes—
949Dic3⋊C4C2414yes—
950Dic3⋊C4C2414yes—
951Dic3⋊C4C2414yes—
952Dic3⋊C4C2414yes—
953Dic3⋊C4C2414yes—
954Dic3⋊C4C2414yes—
955Dic3⋊C4C2414yes—
956Dic3⋊C4C2414yes—
957C4×Dic3C2414yes—
958C4×Dic3C2414yes—
959C4×Dic3C2414yes—
960C4×Dic3C2414yes—
961C4×Dic3C2414yes—
962C4×Dic3C2414yes—
963C4×Dic3C2414yes—
964C4×Dic3C2414yes—
965C4×Dic3C2412yes—
966C4×Dic3C2412yes—
967C4×Dic3C2414yes—
968C4×Dic3C2414yes—
969C4×Dic3C2414yes—
970C4×Dic3C2414yes—
971C4×Dic3C2414yes—
972C4×Dic3C2414yes—
973C4×Dic3C2411yescharacteristic
974C4×Dic3C2411yescharacteristic
975C4×Dic3C2414yes—
976C4×Dic3C2414yes—
977C4×Dic3C2414yes—
978C2×#41—34no—
979C2×#41—31no—
980C4⋊Q8—34no—
981C4⋊Q8—34no—
982C4⋊Q8—34no—
983C4⋊Q8—34no—
984C4⋊Q8—34no—
985C4⋊Q8—34no—
986C4⋊Q8—34no—
987C4⋊Q8—34no—
988C4⋊Q8—32no—
989C4⋊Q8—34no—
990C4⋊Q8—32no—
991C4⋊Q8—34no—
992C4⋊Q8—32no—
993C4⋊Q8—34no—
994C4⋊Q8—34no—
995C4⋊Q8—32no—
996C4⋊Q8—34no—
997C4⋊Q8—34no—
998C4⋊Q8—34no—
999C4⋊Q8—34no—
1000C4⋊Q8—34no—
1001C4⋊Q8—34no—
1002C4⋊Q8—32no—
1003C4⋊Q8—34no—
1004C4⋊Q8C22×D314yes—
1005#126—34no—
1006#126—34no—
1007#126—34no—
1008#126—34no—
1009#126—34no—
1010#126—34no—
1011#126—34no—
1012#126—34no—
1013#126—34no—
1014#126—34no—
1015#126—34no—
1016#126—34no—
1017#126—34no—
1018#126—34no—
1019#126—34no—
1020#126—34no—
1021#126—34no—
1022#126—34no—
1023#126—34no—
1024#126—34no—
1025#126—34no—
1026#126—34no—
1027#126—34no—
1028#126—34no—
1029#126—34no—
1030#126—34no—
1031#126—34no—
1032#126—34no—
1033#126—34no—
1034#126—34no—
1035#126C22×D314yes—
1036#126C22×D314yes—
1037#126C22×D314yes—
1038#126C22×D314yes—
1039#126C22×D314yes—
1040#125—34no—
1041#125—34no—
1042#125—34no—
1043#125—34no—
1044#125—34no—
1045#125—34no—
1046#125—34no—
1047#125—34no—
1048#125—34no—
1049#125—34no—
1050#125—34no—
1051#125—34no—
1052#125—34no—
1053#125—34no—
1054#125—34no—
1055#125—34no—
1056#125—34no—
1057#125—34no—
1058#125—34no—
1059#125—34no—
1060#125—34no—
1061#125—34no—
1062#125—34no—
1063#125—34no—
1064#125—34no—
1065#125—32no—
1066#125—34no—
1067#125—34no—
1068#125—32no—
1069#125—34no—
1070#125—34no—
1071#125—34no—
1072#125—32no—
1073#125—34no—
1074#125—34no—
1075#125—34no—
1076#125—34no—
1077#125—34no—
1078#125—34no—
1079#125—34no—
1080#125—34no—
1081#125—34no—
1082#125—34no—
1083#125—34no—
1084#125—34no—
1085#125—34no—
1086#125—34no—
1087#125—34no—
1088#125—34no—
1089#125—34no—
1090#125—34no—
1091#125—34no—
1092#125—32no—
1093#125—34no—
1094#125—34no—
1095#125—34no—
1096#125—34no—
1097#125—34no—
1098#125—34no—
1099#125—34no—
1100#125—34no—
1101#125—34no—
1102#125—34no—
1103#125—34no—
1104#125—34no—
1105#125—34no—
1106#125—34no—
1107#125—34no—
1108#125—34no—
1109#125—34no—
1110#125—34no—
1111#125—34no—
1112#125—34no—
1113#125—34no—
1114#125—34no—
1115#125—34no—
1116#125—34no—
1117#125—34no—
1118#125—32no—
1119#125—31no—
1120#125—32no—
1121#125—34no—
1122#125—34no—
1123#125—34no—
1124#125—34no—
1125#125—32no—
1126#125—32no—
1127#125—34no—
1128#125—31no—
1129#125—34no—
1130#125—34no—
1131#125—34no—
1132#125—34no—
1133#125C22×D311yescharacteristic
1134#125C22×D311yescharacteristic
1135#125C22×D312yes—
1136#125C22×D314yes—
1137#125C22×D314yes—
1138#125C22×D314yes—
1139#125C22×D314yes—
1140#125C22×D312yes—
1141#125C22×D314yes—
1142#125C22×D314yes—
1143#124—34no—
1144#124—34no—
1145#124C22×D312yes—
1146#123—34no—
1147#123—34no—
1148#123—34no—
1149#123—34no—
1150#123—34no—
1151#123—34no—
1152#123—34no—
1153#123—34no—
1154#123—34no—
1155#123—34no—
1156#123—34no—
1157#123—34no—
1158#123—34no—
1159#123—34no—
1160#123—34no—
1161#123—34no—
1162#123—34no—
1163#123—34no—
1164#123—34no—
1165#123—34no—
1166#123C22×D314yes—
1167#123C22×D314yes—
1168#123C22×D314yes—
1169#123C22×D314yes—
1170#123C22×D314yes—
1171C22⋊Q8—32no—
1172C22⋊Q8—32no—
1173C22⋊Q8—34no—
1174C22⋊Q8—34no—
1175C22⋊Q8—34no—
1176C22⋊Q8—34no—
1177C22⋊Q8—34no—
1178C22⋊Q8—34no—
1179C22⋊Q8—34no—
1180C22⋊Q8—34no—
1181C22⋊Q8—34no—
1182C22⋊Q8—34no—
1183C22⋊Q8—34no—
1184C22⋊Q8—34no—
1185C22⋊Q8—34no—
1186C22⋊Q8—34no—
1187C22⋊Q8—34no—
1188C22⋊Q8—34no—
1189C22⋊Q8—34no—
1190C22⋊Q8—34no—
1191C22⋊Q8—34no—
1192C22⋊Q8—34no—
1193C22⋊Q8—34no—
1194C22⋊Q8—34no—
1195C22⋊Q8—34no—
1196C22⋊Q8—34no—
1197C22⋊Q8—34no—
1198C22⋊Q8—34no—
1199C22⋊Q8—34no—
1200C22⋊Q8—34no—
1201C22⋊Q8—34no—
1202C22⋊Q8—34no—
1203C22⋊Q8—34no—
1204C22⋊Q8—34no—
1205C22⋊Q8—34no—
1206C22⋊Q8—34no—
1207C22⋊Q8—34no—
1208C22⋊Q8—34no—
1209C22⋊Q8—34no—
1210C22⋊Q8—34no—
1211C22⋊Q8—34no—
1212C22⋊Q8—34no—
1213C22⋊Q8—34no—
1214C22⋊Q8—34no—
1215C22⋊Q8—34no—
1216C22⋊Q8—34no—
1217C22⋊Q8—34no—
1218C22⋊Q8C22×D312yes—
1219C22⋊Q8C22×D314yes—
1220C22⋊Q8C22×D314yes—
1221C22⋊Q8C22×D314yes—
1222C22⋊Q8C22×D314yes—
1223C22⋊Q8C22×D314yes—
1224C22⋊Q8C22×D314yes—
1225#121—32no—
1226#121—34no—
1227#121—34no—
1228#121—32no—
1229#121—34no—
1230#121—34no—
1231#121C22×D314yes—
1232#121C22×D314yes—
1233#121C22×D312yes—
1234C4×Q8—32no—
1235C4×Q8—32no—
1236C4×Q8—34no—
1237C4×Q8—34no—
1238C4×Q8—34no—
1239C4×Q8—34no—
1240C4×Q8—34no—
1241C4×Q8—34no—
1242C4×Q8—34no—
1243C4×Q8—34no—
1244C4×Q8—34no—
1245C4×Q8—34no—
1246C4×Q8—34no—
1247C4×Q8—34no—
1248C4×Q8—34no—
1249C4×Q8—34no—
1250C4×Q8—34no—
1251C4×Q8—34no—
1252C4×Q8—34no—
1253C4×Q8—32no—
1254C4×Q8—34no—
1255C4×Q8—34no—
1256C4×Q8—34no—
1257C4×Q8—34no—
1258C4×Q8—34no—
1259C4×Q8—34no—
1260C4×Q8—34no—
1261C4×Q8—34no—
1262C4×Q8—34no—
1263C4×Q8—34no—
1264C4×Q8C22×D312yes—
1265C4×Q8C22×D314yes—
1266C4×D4—34no—
1267C4×D4—34no—
1268C4×D4—34no—
1269C4×D4—32no—
1270C4×D4—34no—
1271C4×D4—32no—
1272C4×D4—34no—
1273C4×D4—34no—
1274C4×D4—32no—
1275C4×D4—32no—
1276C4×D4—34no—
1277C4×D4—34no—
1278C4×D4—34no—
1279C4×D4—34no—
1280C4×D4—34no—
1281C4×D4—34no—
1282C4×D4—34no—
1283C4×D4—34no—
1284C4×D4—34no—
1285C4×D4—34no—
1286C4×D4—34no—
1287C4×D4—34no—
1288C4×D4—32no—
1289C4×D4C22×D314yes—
1290C4×D4C22×D314yes—
1291C4×D4C22×D314yes—
1292C4×D4C22×D314yes—
1293C4×D4C22×D312yes—
1294#117—31no—
1295#117—32no—
1296#117—34no—
1297#117—34no—
1298#117—34no—
1299#117—34no—
1300#117—34no—
1301#117—32no—
1302#117—32no—
1303#117—34no—
1304#117—32no—
1305#117—32no—
1306#117—34no—
1307#117—34no—
1308#117—34no—
1309#117—34no—
1310#117—34no—
1311#117—34no—
1312#117—34no—
1313#117—34no—
1314#117—34no—
1315#117—34no—
1316#117—34no—
1317#117—34no—
1318#117—31no—
1319#117—31no—
1320#117—34no—
1321#117—34no—
1322#117—34no—
1323#117C22×D314yes—
1324#117C22×D314yes—
1325C2×C4⋊C4—34no—
1326C2×C4⋊C4—34no—
1327C2×C4⋊C4—34no—
1328C2×C4⋊C4—34no—
1329C2×C4⋊C4—34no—
1330C2×C4⋊C4—34no—
1331C2×C4⋊C4—32no—
1332C2×C4⋊C4—34no—
1333C2×C4⋊C4—32no—
1334C2×C4⋊C4—34no—
1335C2×C4⋊C4—34no—
1336C2×C4⋊C4—34no—
1337C2×C4⋊C4—34no—
1338C2×C4⋊C4—34no—
1339C2×C4⋊C4—32no—
1340C2×C4⋊C4—32no—
1341C2×C4⋊C4—34no—
1342C2×C4⋊C4—32no—
1343C2×C4⋊C4—34no—
1344C2×C4⋊C4—34no—
1345C2×C4⋊C4—32no—
1346C2×C4⋊C4—34no—
1347C2×C4⋊C4—34no—
1348C2×C4⋊C4C22×D312yes—
1349C2×C4⋊C4C22×D314yes—
1350C2×C4⋊C4C22×D314yes—
1351C2×C42—34no—
1352C2×C42—34no—
1353C2×C42—34no—
1354C2×C42—31no—
1355C2×C42—31no—
1356C2×C42C22×D311yescharacteristic
1357C23×C3C2514yes—
1358C23×C3C2511yescharacteristic
1359C22×D3C2511yescharacteristic
1360C22×D3C2511yescharacteristic
1361C3×Q8—42no—
1362C3×Q8—44no—
1363C3×D4—28no—
1364C3×D4—44no—
1365C3×D4—42no—
1366C2×C3×C4—22no—
1367C2×C3×C4—44no—
1368C2×C3×C4—42no—
1369C2×C3×C4—44no—
1370C2×C3×C4—44no—
1371C2×C3×C4—44no—
1372C2×C3×C4C2511yescharacteristic
1373C2×C3×C4C2514yes—
1374C2×C3×C4C2514yes—
1375C2×C3×C4C2514yes—
1376C2×C3×C4C2514yes—
1377C2×C3×C4C2514yes—
1378C2×C3×C4C2511yescharacteristic
1379C2×C3×C4C2512yes—
1380C2×C3×C4C2512yes—
1381#67—22no—
1382#67—28no—
1383#67—44no—
1384#672−1+414yes—
1385C2×Dic3—28no—
1386C2×Dic3—28no—
1387C2×Dic3—44no—
1388C2×Dic3—44no—
1389C2×Dic3—44no—
1390C2×Dic3—44no—
1391C2×Dic3C2514yes—
1392C2×Dic3C2511yescharacteristic
1393C2×Dic3C2514yes—
1394C2×Dic3C2512yes—
1395C2×Dic3C2514yes—
1396C2×Dic3C2514yes—
1397C2×Dic3C2514yes—
1398C2×Dic3C2512yes—
1399C2×Dic3C2514yes—
1400C2×Dic3C2511yescharacteristic
1401D12—22no—
1402C4×D3—22no—
1403C4×D3—28no—
1404C4×D3—22no—
1405C4×D3—42no—
1406C4×D3—44no—
1407C4×D3—44no—
1408C4×D3—42no—
1409C4×D3—44no—
1410Dic6—22no—
1411Dic6—28no—
1412Dic6—44no—
1413Dic6—44no—
1414Dic6—44no—
1415Dic6—44no—
1416Dic6—44no—
1417Dic6—44no—
1418#41—64no—
1419#41—616no—
1420C2×Q8—31no—
1421C2×Q8—34no—
1422C2×Q8—34no—
1423C2×Q8—34no—
1424C2×Q8—34no—
1425C2×Q8—34no—
1426C2×Q8—34no—
1427C2×Q8—34no—
1428C2×Q8C23×D314yes—
1429C2×Q8C23×D312yes—
1430C2×D4—31no—
1431C2×D4—34no—
1432C2×D4—31no—
1433C2×D4—34no—
1434C2×D4—31no—
1435C2×D4C23×D314yes—
1436C2×D4C23×D312yes—
1437C2×D4C23×D314yes—
1438C22×C4—34no—
1439C22×C4—34no—
1440C22×C4—34no—
1441C22×C4—34no—
1442C22×C4—34no—
1443C22×C4—34no—
1444C22×C4—31no—
1445C22×C4—34no—
1446C22×C4—31no—
1447C22×C4—34no—
1448C22×C4—32no—
1449C22×C4—34no—
1450C22×C4—32no—
1451C22×C4—34no—
1452C22×C4C23×D311yescharacteristic
1453C22×C4C23×D314yes—
1454C22×C4C23×D314yes—
1455C22×C4C23×D312yes—
1456C22×C4C23×D314yes—
1457C22×C4C23×D314yes—
1458C4⋊C4—34no—
1459C4⋊C4—34no—
1460C4⋊C4—32no—
1461C4⋊C4—34no—
1462C4⋊C4—34no—
1463C4⋊C4—34no—
1464C4⋊C4—34no—
1465C4⋊C4—32no—
1466C4⋊C4—34no—
1467C4⋊C4—34no—
1468C4⋊C4—34no—
1469C4⋊C4—34no—
1470C4⋊C4—32no—
1471C4⋊C4—34no—
1472C4⋊C4—32no—
1473C4⋊C4—34no—
1474C4⋊C4—34no—
1475C4⋊C4—34no—
1476C4⋊C4—34no—
1477C4⋊C4—34no—
1478C4⋊C4—34no—
1479C4⋊C4—34no—
1480C4⋊C4—34no—
1481C4⋊C4—34no—
1482C4⋊C4—34no—
1483C4⋊C4—32no—
1484C4⋊C4—34no—
1485C4⋊C4—34no—
1486C4⋊C4—34no—
1487C4⋊C4—32no—
1488C4⋊C4—34no—
1489C4⋊C4—34no—
1490C4⋊C4—34no—
1491C4⋊C4—34no—
1492C4⋊C4—34no—
1493C4⋊C4—34no—
1494C4⋊C4—34no—
1495C4⋊C4—34no—
1496C4⋊C4—34no—
1497C4⋊C4—34no—
1498C4⋊C4—34no—
1499C4⋊C4—34no—
1500C4⋊C4—34no—
1501C4⋊C4—34no—
1502C4⋊C4—34no—
1503C4⋊C4—34no—
1504C4⋊C4—34no—
1505C4⋊C4—34no—
1506C4⋊C4—34no—
1507C4⋊C4—34no—
1508C4⋊C4—34no—
1509C4⋊C4—34no—
1510C4⋊C4—34no—
1511C4⋊C4—34no—
1512C4⋊C4—34no—
1513C4⋊C4—34no—
1514C4⋊C4—32no—
1515C4⋊C4—34no—
1516C4⋊C4—32no—
1517C4⋊C4—34no—
1518C4⋊C4—32no—
1519C4⋊C4—34no—
1520C4⋊C4—34no—
1521C4⋊C4—34no—
1522C4⋊C4—34no—
1523C4⋊C4—34no—
1524C4⋊C4—34no—
1525C4⋊C4—34no—
1526C4⋊C4—34no—
1527C4⋊C4—34no—
1528C4⋊C4C23×D312yes—
1529C4⋊C4C23×D312yes—
1530C4⋊C4C23×D314yes—
1531C4⋊C4C23×D314yes—
1532C4⋊C4C23×D314yes—
1533C4⋊C4C23×D312yes—
1534C4⋊C4C23×D312yes—
1535C4⋊C4C23×D314yes—
1536C4⋊C4C23×D314yes—
1537C4⋊C4C23×D314yes—
1538C4⋊C4C23×D314yes—
1539C4⋊C4C23×D314yes—
1540C4⋊C4C23×D314yes—
1541C4⋊C4C23×D314yes—
1542C4⋊C4C23×D314yes—
1543C4⋊C4C23×D314yes—
1544C4⋊C4C23×D314yes—
1545C4⋊C4C23×D314yes—
1546C4⋊C4C23×D314yes—
1547C22⋊C4—32no—
1548C22⋊C4—34no—
1549C22⋊C4—34no—
1550C22⋊C4—34no—
1551C22⋊C4—34no—
1552C22⋊C4—34no—
1553C22⋊C4—34no—
1554C22⋊C4—34no—
1555C22⋊C4—34no—
1556C22⋊C4—34no—
1557C22⋊C4—34no—
1558C22⋊C4—34no—
1559C22⋊C4—34no—
1560C22⋊C4—32no—
1561C22⋊C4—34no—
1562C22⋊C4—34no—
1563C22⋊C4—34no—
1564C22⋊C4—34no—
1565C22⋊C4—34no—
1566C22⋊C4—32no—
1567C22⋊C4C23×D314yes—
1568C22⋊C4C23×D314yes—
1569C22⋊C4C23×D314yes—
1570C22⋊C4C23×D314yes—
1571C22⋊C4C23×D314yes—
1572C22⋊C4C23×D314yes—
1573C22⋊C4C23×D314yes—
1574C22⋊C4C23×D314yes—
1575C22⋊C4C23×D314yes—
1576C42—34no—
1577C42—34no—
1578C42—34no—
1579C42—31no—
1580C42—34no—
1581C42—32no—
1582C42—34no—
1583C42—31no—
1584C42—34no—
1585C42—34no—
1586C42—32no—
1587C42—34no—
1588C42—34no—
1589C42—34no—
1590C42—34no—
1591C42—34no—
1592C42—34no—
1593C42—34no—
1594C42—34no—
1595C42—34no—
1596C42—34no—
1597C42C23×D311yescharacteristic
1598C42C23×D314yes—
1599C42C23×D311yescharacteristic
1600C42C23×D312yes—
1601C42C23×D314yes—
1602C42C23×D314yes—
1603C22×C3—22no—
1604C22×C3—24no—
1605C22×C3—24no—
1606C22×C3—24no—
1607C22×C3C2×2−1+412yes—
1608C22×C3C2611yescharacteristic
1609C2×D3—22no—
1610C2×D3—21no—
1611C2×D3—22no—
1612C2×D3C2×2−1+412yes—
1613C3×C4—24no—
1614C3×C4—21no—
1615C3×C4—21no—
1616C3×C4—22no—
1617C3×C4—24no—
1618C3×C4—24no—
1619C3×C4—24no—
1620C3×C4—24no—
1621C3×C4—22no—
1622Dic3—21no—
1623Dic3—24no—
1624Dic3—24no—
1625Dic3—22no—
1626Dic3—24no—
1627Dic3—24no—
1628Dic3—22no—
1629Dic3—24no—
1630Dic3—24no—
1631Dic3C2×2−1+412yes—
1632C23—31no—
1633C23—31no—
1634C23C24×D314yes—
1635C23C24×D311yescharacteristic
1636Q8—44no—
1637Q8—42no—
1638Q8—62no—
1639Q8—68no—
1640Q8—124no—
1641Q8—124no—
1642Q8—124no—
1643Q8—124no—
1644Q8—124no—
1645Q8—124no—
1646D4—28no—
1647D4—34no—
1648D4—44no—
1649D4—42no—
1650D4—62no—
1651D4—68no—
1652D4—62no—
1653D4—124no—
1654C2×C4—22no—
1655C2×C4—31no—
1656C2×C4—32no—
1657C2×C4—34no—
1658C2×C4—31no—
1659C2×C4—34no—
1660C2×C4—34no—
1661C2×C4—34no—
1662C2×C4—32no—
1663C2×C4—34no—
1664C2×C4—34no—
1665C2×C4—44no—
1666C2×C4—42no—
1667C2×C4—44no—
1668C2×C4—44no—
1669C2×C4—44no—
1670C2×C4—62no—
1671C2×C4—62no—
1672C2×C4—68no—
1673C2×C4—68no—
1674C2×C4—68no—
1675C2×C4—124no—
1676C2×C4—124no—
1677C2×C4—124no—
1678C2×C4—122no—
1679C2×C4—122no—
1680C2×C4—124no—
1681C2×C4—124no—
1682C2×C4—124no—
1683C2×C4—124no—
1684C2×C4C24×D314yes—
1685C2×C4C24×D311yescharacteristic
1686C2×C4C24×D314yes—
1687C2×C4C24×D314yes—
1688C2×C4C24×D314yes—
1689C2×C4C24×D314yes—
1690C2×C4C24×D311yescharacteristic
1691C2×C4C24×D312yes—
1692C2×C4C24×D312yes—
1693C2×C3—22no—
1694C2×C3—44no—
1695C2×C3C22×2−1+411yescharacteristic
1696C2×C32−1+612yes—
1697D3—22no—
1698D3—41no—
1699C22—22no—
1700C22—24no—
1701C22—24no—
1702C22—24no—
1703C22—32no—
1704C22—62no—
1705C22—61no—
1706C22—62no—
1707C22D3×2−1+412yes—
1708C22C25×D311yescharacteristic
1709C4—21no—
1710C4—21no—
1711C4—24no—
1712C4—22no—
1713C4—24no—
1714C4—24no—
1715C4—24no—
1716C4—22no—
1717C4—24no—
1718C4—32no—
1719C4—64no—
1720C4—61no—
1721C4—64no—
1722C4—64no—
1723C4—64no—
1724C4—62no—
1725C4—64no—
1726C4—62no—
1727C4—64no—
1728C3#6306711yescharacteristic, complemented, Sylow
1729C2—22no—
1730C2—44no—
1731C2—62no—
1732C2—121no—
1733C2C2×D3×2−1+411yescharacteristic
1734C2#8757212yes—
subgroupG/H
center, FrattiniC22C25×D3
commutator, socle, cosocleC22×C3C26
FittingC3×#3553C2
hypercenter#3553D3
hypocenterC3#63067
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C22 ◁ #3553

Complements

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

NH ≅ G/Ntype
1. C3×#3553C2semidirect
2. D3×#564C2semidirect
3. #87140C2semidirect
4. #87136C2semidirect
5. #87136C2semidirect
6. #87112C2semidirect
7. #87094C2semidirect
8. #86943C2semidirect
9. #86927C2semidirect
10. #86899C2semidirect
11. #86884C2semidirect
12. #86869C2semidirect
13. #86851C2semidirect
14. #86519C2semidirect
15. #86502C2semidirect
16. #86463C2semidirect
17. #86445C2semidirect
18. #86445C2semidirect
19. #86432C2semidirect
20. #86164C2semidirect
21. #86142C2semidirect
22. #86098C2semidirect
23. C2×C3⋊#564C2semidirect
222. #3553D3semidirect
1728. C3#63067semidirect

Maximal subgroups

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

subgroupindex
C3×#35532
D3×#5642
#871402
#871362
#871122
#870942
#869432
#869272
#868992
#868842
#868692
#868512
#865192
#865022
#864632
#864452
#864322
#861642
#861422
#860982
C2×C3⋊#5642
#630673