Finite Group Databasebeta

← #7644106

Subgroups — #7644106

Order 512.

4200 conjugacy classes of subgroups.

The subgroup lattice has 1555 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42782C212yesmaximal, complemented
2#42780C212yesmaximal, complemented
3#42774C212yesmaximal, complemented
4#42773C212yesmaximal, complemented
5#42728C212yesmaximal, complemented
6#42723C212yesmaximal, complemented
7#42716C212yesmaximal, complemented
8#42710C212yesmaximal, complemented
9#42638C212yesmaximal, complemented
10#42636C212yesmaximal, complemented
11#42626C212yesmaximal, complemented
12#42623C212yesmaximal, complemented
13#42562C212yesmaximal, complemented
14#42553C212yesmaximal, complemented
15#42546C212yesmaximal, complemented
16#42538C212yesmaximal, complemented
17#37504C214yesmaximal, complemented
18#37488C214yesmaximal, complemented
19#36825C214yesmaximal, complemented
20#36798C214yesmaximal, complemented
21#35640C211yesmaximal, characteristic, complemented
22#35639C211yesmaximal, characteristic
23#35585C211yesmaximal, characteristic, complemented
24#35575C211yesmaximal, characteristic
25#35557C211yesmaximal, characteristic
26#35555C211yesmaximal, characteristic, complemented
27#35545C211yesmaximal, characteristic
28#35543C211yesmaximal, characteristic, complemented
29#35160C211yesmaximal, characteristic
30#35159C211yesmaximal, characteristic, complemented
31#34639C211yesmaximal, characteristic
32#34638C211yesmaximal, characteristic, complemented
33#34271C211yesmaximal, characteristic, complemented
34#34252C211yesmaximal, characteristic
35C2×#2330C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C22×#125C2211yescharacteristic
38C2×#520C2211yescharacteristic
39#2852C2214yes—
40#2851C2214yes—
41#2839C2214yes—
42#2839C2214yes—
43#2839C2214yes—
44#2836C2214yes—
45#2836C2214yes—
46#2836C2214yes—
47#2833C2214yes—
48#2831C2214yes—
49#2802C2214yes—
50#2802C2214yes—
51#2798C2214yes—
52#2794C2214yes—
53#2794C2214yes—
54#2789C2214yes—
55#2776C2214yes—
56#2776C2214yes—
57#2772C2214yes—
58#2769C2214yes—
59#2766C2214yes—
60#2766C2214yes—
61#2758C2214yes—
62#2758C2214yes—
63#2755C2214yes—
64#2754C2214yes—
65#2747C2214yes—
66#2744C2214yes—
67#2739C2214yes—
68#2739C2214yes—
69#2725C2214yes—
70#2725C2214yes—
71#2725C2214yes—
72#2722C2214yes—
73#2722C2214yes—
74#2721C2214yes—
75#2721C2214yes—
76#2719C2214yes—
77#2719C2214yes—
78#2719C2214yes—
79#2704C2214yes—
80#2698C2214yes—
81#2664C2214yes—
82#2664C2214yes—
83#2655C2214yes—
84#2655C2214yes—
85#2655C2214yes—
86#2655C2214yes—
87#2655C2214yes—
88#2654C2214yes—
89#2652C2214yes—
90#2652C2214yes—
91#2647C2211yescharacteristic
92#2647C2214yes—
93#2647C2211yescharacteristic
94#2647C2211yescharacteristic
95#2647C2211yescharacteristic
96#2647C2211yescharacteristic
97#2647C2211yescharacteristic
98#2647C2211yescharacteristic
99#2647C2211yescharacteristic
100#2646C2212yes—
101#2646C2212yes—
102#2646C2212yes—
103#2646C2212yes—
104#2646C2214yes—
105#2645C2211yescharacteristic
106#2645C2214yes—
107#2645C2211yescharacteristic
108#2645C2211yescharacteristic
109#2645C2211yescharacteristic
110#2644C2211yescharacteristic
111#2644C2211yescharacteristic
112#2644C2211yescharacteristic
113#2644C2211yescharacteristic
114#2643C2212yes—
115#2643C2212yes—
116#2643C2212yes—
117#2643C2212yes—
118#2643C2214yes—
119#2637C2214yes—
120#2634C2214yes—
121#2629C2214yes—
122#2625C2214yes—
123#2583C2214yes—
124#2579C2214yes—
125#2571C2212yes—
126#2570C2212yes—
127#2570C2212yes—
128#2570C2212yes—
129#2570C2212yes—
130#2569C2214yes—
131#2564C2214yes—
132#2552C2212yes—
133#2552C2212yes—
134#2552C2212yes—
135#2552C2212yes—
136#2552C2212yes—
137#2552C2212yes—
138#2552C2212yes—
139#2550C2212yes—
140#2550C2212yes—
141#2550C2212yes—
142#2550C2212yes—
143#2533C2214yes—
144#2528C2214yes—
145#2514C2212yes—
146#2514C2212yes—
147#2513C2212yes—
148#2513C2212yes—
149#2512C2212yes—
150#2512C2212yes—
151#2512C2212yes—
152#2512C2212yes—
153#2511C2212yes—
154#2511C2212yes—
155#2511C2212yes—
156#2511C2212yes—
157#2510C2214yes—
158#2509C2212yes—
159#2509C2212yes—
160#2509C2212yes—
161#2509C2212yes—
162#2509C2212yes—
163#2508C2212yes—
164#2508C2212yes—
165#2508C2212yes—
166#2508C2212yes—
167#2508C2212yes—
168#2507C2212yes—
169#2507C2212yes—
170#2507C2212yes—
171#2507C2212yes—
172#2507C2212yes—
173#2507C2212yes—
174#2507C2212yes—
175#2506C2212yes—
176#2506C2212yes—
177#2506C2212yes—
178#2506C2212yes—
179#2506C2212yes—
180#2506C2212yes—
181#2506C2214yes—
182#2506C2212yes—
183#2505C2214yes—
184#2502C2214yes—
185#2497C2212yes—
186#2497C2212yes—
187#2497C2212yes—
188#2497C2212yes—
189#2496C2212yes—
190#2496C2212yes—
191#2496C2212yes—
192#2496C2212yes—
193#2496C2214yes—
194#2495C2212yes—
195#2495C2212yes—
196#2494C2212yes—
197#2494C2212yes—
198#2487C2214yes—
199#2481C2214yes—
200#2481C2214yes—
201#2481C2214yes—
202#2478C2214yes—
203#2475C2214yes—
204#2473C2214yes—
205#2473C2214yes—
206#2473C2214yes—
207#2454C2212yes—
208#2454C2212yes—
209#2454C2212yes—
210#2453C2212yes—
211#2453C2212yes—
212#2453C2212yes—
213#2453C2214yes—
214#2452C2212yes—
215#2451C2212yes—
216#2442C2214yes—
217#2442C2212yes—
218#2442C2212yes—
219#2442C2212yes—
220#2441C2212yes—
221#2441C2212yes—
222#2441C2212yes—
223#2440C2212yes—
224#2439C2212yes—
225#2421C2214yes—
226#2417C2214yes—
227#2402C2212yes—
228#2402C2212yes—
229#2402C2212yes—
230#2402C2212yes—
231#2401C2212yes—
232#2401C2212yes—
233#2401C2212yes—
234#2401C2212yes—
235#2370C2212yes—
236#2370C2212yes—
237#2370C2212yes—
238#2370C2212yes—
239#2369C2212yes—
240#2369C2212yes—
241#2365C2212yes—
242#2365C2212yes—
243#2357C2212yes—
244#2356C2212yes—
245#2355C2212yes—
246#2354C2212yes—
247#2347C2212yes—
248#2346C2212yes—
249#2345C2212yes—
250#2344C2212yes—
251#2330C2212yes—
252#2330C2212yes—
253#2330C2212yes—
254#2330C2212yes—
255#2330C2212yes—
256#2330C2212yes—
257#2330C2212yes—
258#2330C2212yes—
259#2329C2214yes—
260#2318C2214yes—
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2317C2211yescharacteristic
264#2317C2211yescharacteristic
265#2317C2211yescharacteristic
266#2316C2211yescharacteristic
267#2316C2211yescharacteristic
268#2316C2211yescharacteristic
269#2311C2211yescharacteristic
270#2311C2211yescharacteristic
271#2311C2211yescharacteristic
272C4×C22⋊Q8C2214yes—
273#2297C2211yescharacteristic
274#2297C2211yescharacteristic
275#2297C2211yescharacteristic
276#2296C2211yescharacteristic
277#2296C2211yescharacteristic
278#2296C2211yescharacteristic
279#2296C2211yescharacteristic
280#2296C2211yescharacteristic
281#2296C2211yescharacteristic
282#2296C2211yescharacteristic
283C2×#389C2211yescharacteristic
284C2×#389C2212yes—
285C2×#389C2211yescharacteristic
286C2×#389C2212yes—
287#2290C2214yes—
288C2×#387C2212yes—
289C2×#387C2212yes—
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292C2×#384C2211yescharacteristic
293#2274C2211yescharacteristic
294#2274C2211yescharacteristic
295#2274C2211yescharacteristic
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×#376C2211yescharacteristic
299C22×#41C2311yescharacteristic
300#544—28no—
301C2×C4⋊Q8C2312yes—
302C2×C4⋊Q8C2312yes—
303C2×#126C2314yes—
304C2×#126C2314yes—
305C2×#126C2314yes—
306C2×#126C2314yes—
307C2×#125—28no—
308C2×#125C2312yes—
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2314yes—
315C2×#125C2314yes—
316C2×#125C2314yes—
317C2×#125C2314yes—
318C2×#125C2314yes—
319C2×C22⋊Q8C2314yes—
320C2×C22⋊Q8C2314yes—
321#520—28no—
322C2×C4×Q8C2312yes—
323C2×C4×Q8C2314yes—
324C2×C4×D4C2314yes—
325C2×C4×D4C2312yes—
326C2×#117C2311yescharacteristic
327C2×#117C2311yescharacteristic
328C2×#117C2311yescharacteristic
329C2×#117C2311yescharacteristic
330C2×#117C2311yescharacteristic
331C2×#117C2311yescharacteristic
332C2×#117C2311yescharacteristic
333C2×#117C2312yes—
334C2×#117C2314yes—
335C22×C4⋊C4C2311yescharacteristic
336C22×C4⋊C4C2311yescharacteristic
337C22×C4⋊C4C2311yescharacteristic
338C22×C4⋊C4C2312yes—
339C22×C4⋊C4C2312yes—
340C22×C4⋊C4C2312yes—
341C22×C4⋊C4C2312yes—
342C22×C4⋊C4C2312yes—
343C22×C4⋊C4C2312yes—
344C22×C4⋊C4C2312yes—
345C22×C4⋊C4C2311yescharacteristic
346C22×C42C2311yescharacteristic
347C22×C42C2311yescharacteristic
348C22×C42C2311yescharacteristic
349C22×C42C2312yes—
350C22×C42C2312yes—
351#401C2314yes—
352#401C2314yes—
353#401C2312yes—
354#401C2312yes—
355#401C2312yes—
356#401C2312yes—
357#400C2314yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2312yes—
367#400C2314yes—
368#400C2312yes—
369#400C2314yes—
370#400C2314yes—
371#400C2312yes—
372#400C2314yes—
373#400C2314yes—
374#400C2312yes—
375#400C2312yes—
376#400C2312yes—
377#400C2312yes—
378#400C2312yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2312yes—
393#400C2312yes—
394#400C2312yes—
395#400C2312yes—
396#400C2312yes—
397#400C2312yes—
398#400C2312yes—
399#400C2312yes—
400#400C2312yes—
401#400C2312yes—
402#400C2312yes—
403#400C2312yes—
404#400C2312yes—
405#400C2312yes—
406#400C2312yes—
407#400C2312yes—
408#400C2312yes—
409#400C2312yes—
410#400C2312yes—
411#400C2312yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2312yes—
423#398C2314yes—
424#398C2314yes—
425#398C2312yes—
426#398C2312yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2312yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2312yes—
448#398C2312yes—
449#398C2312yes—
450#398C2312yes—
451#398C2312yes—
452#398C2312yes—
453#398C2312yes—
454#398C2312yes—
455#398C2312yes—
456#398C2312yes—
457#398C2312yes—
458#398C2312yes—
459#397C2312yes—
460#397C2314yes—
461#397C2314yes—
462#397C2312yes—
463#397C2312yes—
464#397C2312yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2312yes—
472#397C2312yes—
473#397C2312yes—
474#397C2312yes—
475#397C2312yes—
476#397C2312yes—
477#397C2312yes—
478#397C2312yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2312yes—
488#396C2312yes—
489#396C2312yes—
490#396C2312yes—
491#395C2314yes—
492#395C2314yes—
493#395C2314yes—
494#393C2314yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2314yes—
499#391C2314yes—
500#391C2314yes—
501#391C2311yescharacteristic
502#391C2311yescharacteristic
503#391C2314yes—
504#391C2311yescharacteristic
505#391C2311yescharacteristic
506#391C2311yescharacteristic
507#391C2311yescharacteristic
508#391C2314yes—
509#391C2314yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2311yescharacteristic
514#390C2311yescharacteristic
515#390C2311yescharacteristic
516#390C2311yescharacteristic
517#390C2311yescharacteristic
518#390C2311yescharacteristic
519#389C2312yes—
520#389C2311yescharacteristic
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2312yes—
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2314yes—
568#389C2314yes—
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2314yes—
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2311yescharacteristic
581#389C2311yescharacteristic
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2314yes—
589#389C2314yes—
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#389C2314yes—
599#389C2314yes—
600#389C2314yes—
601#389C2314yes—
602#389C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#386C2312yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2312yes—
668#386C2312yes—
669#386C2312yes—
670#386C2312yes—
671#386C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2312yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2312yes—
681#385C2312yes—
682#385C2314yes—
683#385C2314yes—
684#385C2312yes—
685#385C2312yes—
686#385C2312yes—
687#385C2312yes—
688#385C2312yes—
689#385C2312yes—
690#385C2312yes—
691#385C2312yes—
692#385C2312yes—
693#385C2312yes—
694#385C2312yes—
695#384C2311yescharacteristic
696#384C2312yes—
697#384C2312yes—
698#384C2312yes—
699#384C2312yes—
700#384C2312yes—
701#384C2312yes—
702#384C2312yes—
703#384C2312yes—
704#384C2312yes—
705#384C2314yes—
706#384C2311yescharacteristic
707#384C2311yescharacteristic
708#384C2311yescharacteristic
709#384C2314yes—
710#383C2314yes—
711#383C2314yes—
712#383C2314yes—
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#382C2311yescharacteristic
717#382C2312yes—
718#382C2311yescharacteristic
719#382C2314yes—
720#382C2312yes—
721#382C2314yes—
722#382C2314yes—
723#382C2311yescharacteristic
724#382C2311yescharacteristic
725#382C2314yes—
726#381C2314yes—
727#380C2312yes—
728#380C2314yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2314yes—
742#380C2312yes—
743#380C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796#376C2311yescharacteristic
797#376C2311yescharacteristic
798#376C2311yescharacteristic
799#376C2311yescharacteristic
800#376C2311yescharacteristic
801#376C2311yescharacteristic
802#376C2311yescharacteristic
803#376C2311yescharacteristic
804#376C2314yes—
805C2×#95C2312yes—
806C2×#95C2312yes—
807C2×#95C2311yescharacteristic
808C2×#95C2311yescharacteristic
809C2×#95C2311yescharacteristic
810C2×#95C2311yescharacteristic
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#41—24no—
814C2×#41—24no—
815C2×#41—24no—
816C22×Q8C2411yescharacteristic
817C22×Q8C2414yes—
818C22×D4C2412yes—
819C22×D4C2411yescharacteristic
820C23×C4C2412yes—
821C23×C4C2412yes—
822C23×C4C2411yescharacteristic
823C23×C4C2412yes—
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2412yes—
827C23×C4C2414yes—
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C4⋊Q8—28no—
834C4⋊Q8—28no—
835#126—84no—
836#126—84no—
837#126—84no—
838#126—84no—
839#125—28no—
840#125—28no—
841#125—28no—
842#125—28no—
843#125—28no—
844#125—28no—
845#125—84no—
846#125—84no—
847#125—84no—
848#125—84no—
849#125—84no—
850C22⋊Q8—216no—
851C22⋊Q8—84no—
852C4×Q8—28no—
853C4×Q8—84no—
854C4×D4—216no—
855C4×D4—28no—
856#117—24no—
857#117—24no—
858#117—24no—
859#117—24no—
860#117—24no—
861#117—24no—
862#117—24no—
863#117—28no—
864#117—84no—
865C2×C4⋊C4—28no—
866C2×C4⋊C4—28no—
867C2×C4⋊C4—24no—
868C2×C4⋊C4—24no—
869C2×C4⋊C4—24no—
870C2×C4⋊C4—28no—
871C2×C4⋊C4—82no—
872C2×C4⋊C4—82no—
873C2×C4⋊C4—82no—
874C2×C4⋊C4—82no—
875C2×C4⋊C4#4118yes—
876C2×C4⋊C4C2411yescharacteristic
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C42—24no—
993C2×C42—24no—
994C2×C42—24no—
995C2×C42—82no—
996C2×C42—82no—
997C2×C42C2414yes—
998C2×C42C2412yes—
999C2×C42C2412yes—
1000C2×C42C2412yes—
1001C2×C42C2412yes—
1002C2×C42C2412yes—
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2411yescharacteristic
1006C2×C42C2411yescharacteristic
1007C2×C42C2411yescharacteristic
1008C2×C42C2411yescharacteristic
1009C2×C42C2411yescharacteristic
1010C2×C42C2411yescharacteristic
1011C2×C42C2411yescharacteristic
1012C2×C42C2411yescharacteristic
1013C2×C42C2411yescharacteristic
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2414yes—
1018C2×C42C2414yes—
1019C2×C42C2414yes—
1020C2×C42C2414yes—
1021C2×C42C2414yes—
1022C2×C42C2414yes—
1023C2×C42C2414yes—
1024C2×C42C2414yes—
1025C2×C42C2414yes—
1026C2×C42C2414yes—
1027#95C2411yescharacteristic
1028#95C2411yescharacteristic
1029#95C2411yescharacteristic
1030#95C2411yescharacteristic
1031#95C2411yescharacteristic
1032#95C2411yescharacteristic
1033#95C2411yescharacteristic
1034#95C2411yescharacteristic
1035#95C2411yescharacteristic
1036#95C2411yescharacteristic
1037#95C2411yescharacteristic
1038#95C2411yescharacteristic
1039#95C2411yescharacteristic
1040#95C2411yescharacteristic
1041#95C2411yescharacteristic
1042#95C2411yescharacteristic
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2412yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2412yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127C24C2512yes—
1128C24C2511yescharacteristic
1129#41—416no—
1130C2×Q8—22no—
1131C2×Q8—28no—
1132C2×Q8—22no—
1133C2×Q8—22no—
1134C2×Q8—44no—
1135C2×Q8—44no—
1136C2×D4—24no—
1137C2×D4—24no—
1138C2×D4—24no—
1139C2×D4—22no—
1140C2×D4—22no—
1141C2×D4—22no—
1142C22×C4—22no—
1143C22×C4—22no—
1144C22×C4—24no—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—22no—
1148C22×C4—22no—
1149C22×C4—24no—
1150C22×C4—24no—
1151C22×C4—24no—
1152C22×C4—24no—
1153C22×C4—24no—
1154C22×C4—28no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—42no—
1158C22×C4—42no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—42no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—42no—
1167C22×C4—42no—
1168C22×C4—42no—
1169C22×C4—42no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—42no—
1173C22×C4—44no—
1174C22×C4—44no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4C2×#4118yes—
1178C22×C4C2×#4114yes—
1179C22×C42−1+414yes—
1180C22×C42−1+414yes—
1181C22×C4C2512yes—
1182C22×C4C2511yescharacteristic
1183C22×C4C2511yescharacteristic
1184C22×C4C2512yes—
1185C22×C4C2511yescharacteristic
1186C22×C4C2511yescharacteristic
1187C22×C4C2511yescharacteristic
1188C22×C4C2511yescharacteristic
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2514yes—
1199C22×C4C2511yescharacteristic
1200C22×C4C2511yescharacteristic
1201C22×C4C2511yescharacteristic
1202C22×C4C2511yescharacteristic
1203C22×C4C2514yes—
1204C22×C4C2511yescharacteristic
1205C22×C4C2511yescharacteristic
1206C22×C4C2514yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2514yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C4⋊C4—22no—
1215C4⋊C4—28no—
1216C4⋊C4—28no—
1217C4⋊C4—28no—
1218C4⋊C4—28no—
1219C4⋊C4—28no—
1220C4⋊C4—24no—
1221C4⋊C4—24no—
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—28no—
1228C4⋊C4—28no—
1229C4⋊C4—28no—
1230C4⋊C4—24no—
1231C4⋊C4—24no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—22no—
1238C4⋊C4—22no—
1239C4⋊C4—22no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—44no—
1243C4⋊C4—44no—
1244C4⋊C4—44no—
1245C4⋊C4—44no—
1246C4⋊C4—44no—
1247C4⋊C4—44no—
1248C4⋊C4—44no—
1249C4⋊C4—44no—
1250C4⋊C4—44no—
1251C4⋊C4—42no—
1252C4⋊C4—42no—
1253C4⋊C4—42no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—42no—
1257C4⋊C4—42no—
1258C4⋊C4—42no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—44no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—44no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4C2×#4118yes—
1303C4⋊C4C2×#4118yes—
1304C22⋊C4—24no—
1305C22⋊C4—24no—
1306C22⋊C4—24no—
1307C22⋊C4—24no—
1308C22⋊C4—24no—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—28no—
1312C22⋊C4—42no—
1313C22⋊C4—44no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—44no—
1321C22⋊C4—42no—
1322C22⋊C4—44no—
1323C22⋊C4—42no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—44no—
1330C42—22no—
1331C42—22no—
1332C42—22no—
1333C42—22no—
1334C42—28no—
1335C42—24no—
1336C42—24no—
1337C42—24no—
1338C42—22no—
1339C42—22no—
1340C42—22no—
1341C42—22no—
1342C42—22no—
1343C42—22no—
1344C42—22no—
1345C42—22no—
1346C42—24no—
1347C42—24no—
1348C42—24no—
1349C42—24no—
1350C42—44no—
1351C42—44no—
1352C42—44no—
1353C42—44no—
1354C42—44no—
1355C42—44no—
1356C42—44no—
1357C42—44no—
1358C42—44no—
1359C42—44no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—22no—
1369C23—22no—
1370C23—22no—
1371C23C22×#4112yes—
1372C23C2×2−1+412yes—
1373C23C2×2−1+412yes—
1374C23C2611yescharacteristic
1375Q8—44no—
1376Q8—88no—
1377D4—48no—
1378D4—44no—
1379C2×C4—24no—
1380C2×C4—24no—
1381C2×C4—22no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—24no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—24no—
1410C2×C4—24no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—24no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—24no—
1427C2×C4—24no—
1428C2×C4—24no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—24no—
1438C2×C4—22no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—24no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—48no—
1472C2×C4—44no—
1473C2×C4—44no—
1474C2×C4—48no—
1475C2×C4—44no—
1476C2×C4—44no—
1477C2×C4—48no—
1478C2×C4—88no—
1479C2×C4—82no—
1480C2×C4—84no—
1481C2×C4—84no—
1482C2×C4—82no—
1483C2×C4#541116yes—
1484C2×C4C22×#4118yes—
1485C2×C4C22×#4112yes—
1486C2×C4C22×#4112yes—
1487C2×C4C2×2−1+412yes—
1488C2×C4C2×2−1+412yes—
1489C2×C4C2×2−1+412yes—
1490C2×C4C2×2−1+412yes—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—42no—
1498C22—42no—
1499C22—42no—
1500C22—42no—
1501C22—42no—
1502C22—42no—
1503C22—42no—
1504C22C2×#54114yes—
1505C22C23×#4111yescharacteristic
1506C22C22×2−1+411yescharacteristic
1507C22C22×2−1+411yescharacteristic
1508C22H(7,𝔽2)11yescharacteristic
1509C22H(7,𝔽2)11yescharacteristic
1510C222−1+611yescharacteristic
1511C222−1+611yescharacteristic
1512C4—28no—
1513C4—41no—
1514C4—41no—
1515C4—42no—
1516C4—42no—
1517C4—42no—
1518C4—42no—
1519C4—42no—
1520C4—42no—
1521C4—41no—
1522C4—41no—
1523C4—44no—
1524C4—42no—
1525C4—42no—
1526C4—42no—
1527C4—42no—
1528C4—42no—
1529C4—42no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—42no—
1535C4—41no—
1536C4—41no—
1537C4—44no—
1538C4—44no—
1539C4—42no—
1540C4—41no—
1541C4—41no—
1542C4—42no—
1543C4C2×#54114yes—
1544C4C2×#54114yes—
1545C2—24no—
1546C2—82no—
1547C2C22×#54111yescharacteristic
1548C2#6284711yescharacteristic
1549C2#6285111yescharacteristic
1550C2#6287711yescharacteristic
1551C2#6287711yescharacteristic
1552C2#6288111yescharacteristic
1553C2#6288911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×#41C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42782C2semidirect
2. #42780C2semidirect
3. #42774C2semidirect
4. #42773C2semidirect
5. #42728C2semidirect
6. #42723C2semidirect
7. #42716C2semidirect
8. #42710C2semidirect
9. #42638C2semidirect
10. #42636C2semidirect
11. #42626C2semidirect
12. #42623C2semidirect
13. #42562C2semidirect
14. #42553C2semidirect
15. #42546C2semidirect
16. #42538C2semidirect
17. #37504C2semidirect
18. #37488C2semidirect
19. #36825C2semidirect
20. #36798C2semidirect
21. #35640C2semidirect
23. #35585C2semidirect
26. #35555C2semidirect
28. #35543C2semidirect
30. #35159C2semidirect
32. #34638C2semidirect
33. #34271C2semidirect
35. C2×#2330C2semidirect

Maximal subgroups

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

subgroupindex
#427822
#427802
#427742
#427732
#427282
#427232
#427162
#427102
#426382
#426362
#426262
#426232
#425622
#425532
#425462
#425382
#375042
#374882
#368252
#367982
#356402
#356392
#355852
#355752
#355572
#355552
#355452
#355432
#351602
#351592
#346392
#346382
#342712
#342522
C2×#23302