Finite Group Databasebeta

← #7646123

Subgroups — #7646123

Order 512.

4268 conjugacy classes of subgroups.

The subgroup lattice has 1564 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42774C212yesmaximal, complemented
2#42773C212yesmaximal, complemented
3#42748C212yesmaximal, complemented
4#42744C212yesmaximal, complemented
5#42638C212yesmaximal, complemented
6#42636C212yesmaximal, complemented
7#42573C212yesmaximal, complemented
8#42569C212yesmaximal, complemented
9#40202C212yesmaximal, complemented
10#40189C212yesmaximal, complemented
11#40130C212yesmaximal, complemented
12#40120C212yesmaximal, complemented
13#39788C212yesmaximal, complemented
14#39780C212yesmaximal, complemented
15#39250C212yesmaximal, complemented
16#39241C212yesmaximal, complemented
17#37504C214yesmaximal, complemented
18#36798C214yesmaximal, complemented
19#36782C214yesmaximal, complemented
20#35640C211yesmaximal, characteristic, complemented
21#35639C211yesmaximal, characteristic
22#35585C211yesmaximal, characteristic, complemented
23#35575C211yesmaximal, characteristic
24#35267C211yesmaximal, characteristic
25#35265C211yesmaximal, characteristic, complemented
26#35181C211yesmaximal, characteristic, complemented
27#35160C211yesmaximal, characteristic
28#35160C211yesmaximal, characteristic
29#35159C211yesmaximal, characteristic, complemented
30#35061C214yesmaximal, complemented
31#34816C211yesmaximal, characteristic
32#34815C211yesmaximal, characteristic, complemented
33#34252C211yesmaximal, characteristic
34C2×#2370C211yesmaximal, characteristic, complemented
35C4×#544C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C22×#125C2211yescharacteristic
38C2×#520C2211yescharacteristic
39#2864C2212yes—
40#2863C2212yes—
41#2860C2212yes—
42#2859C2212yes—
43#2852C2214yes—
44#2852C2214yes—
45#2851C2214yes—
46#2851C2214yes—
47#2839C2214yes—
48#2839C2214yes—
49#2836C2214yes—
50#2836C2214yes—
51#2798C2214yes—
52#2794C2214yes—
53#2794C2214yes—
54#2789C2214yes—
55#2783C2214yes—
56#2783C2214yes—
57#2776C2214yes—
58#2776C2214yes—
59#2776C2214yes—
60#2772C2214yes—
61#2769C2214yes—
62#2769C2214yes—
63#2766C2214yes—
64#2766C2214yes—
65#2766C2214yes—
66#2762C2214yes—
67#2762C2214yes—
68#2758C2214yes—
69#2754C2214yes—
70#2747C2214yes—
71#2747C2214yes—
72#2744C2214yes—
73#2744C2214yes—
74#2739C2214yes—
75#2725C2214yes—
76#2722C2214yes—
77#2721C2214yes—
78#2721C2214yes—
79#2719C2214yes—
80#2719C2214yes—
81#2690C2214yes—
82#2689C2214yes—
83#2666C2214yes—
84#2664C2214yes—
85#2664C2214yes—
86#2664C2214yes—
87#2655C2214yes—
88#2655C2214yes—
89#2655C2214yes—
90#2650C2214yes—
91#2647C2214yes—
92#2647C2212yes—
93#2647C2212yes—
94#2646C2214yes—
95#2646C2214yes—
96#2645C2212yes—
97#2645C2214yes—
98#2644C2212yes—
99#2643C2214yes—
100#2643C2214yes—
101#2629C2214yes—
102#2625C2214yes—
103#2583C2214yes—
104#2579C2214yes—
105#2571C2212yes—
106#2571C2212yes—
107#2570C2212yes—
108#2570C2212yes—
109#2570C2212yes—
110#2570C2212yes—
111#2569C2214yes—
112#2564C2214yes—
113#2552C2212yes—
114#2552C2212yes—
115#2552C2212yes—
116#2552C2212yes—
117#2552C2212yes—
118#2552C2212yes—
119#2550C2212yes—
120#2550C2212yes—
121#2550C2212yes—
122#2550C2212yes—
123#2533C2214yes—
124#2528C2214yes—
125#2524C2214yes—
126#2519C2214yes—
127#2514C2211yescharacteristic
128#2514C2211yescharacteristic
129#2514C2212yes—
130#2514C2212yes—
131#2513C2211yescharacteristic
132#2513C2211yescharacteristic
133#2513C2212yes—
134#2513C2212yes—
135#2512C2211yescharacteristic
136#2512C2211yescharacteristic
137#2512C2212yes—
138#2512C2212yes—
139#2511C2211yescharacteristic
140#2511C2211yescharacteristic
141#2511C2212yes—
142#2511C2212yes—
143#2510C2212yes—
144#2510C2212yes—
145#2510C2214yes—
146#2509C2212yes—
147#2509C2212yes—
148#2509C2212yes—
149#2509C2212yes—
150#2509C2212yes—
151#2509C2211yescharacteristic
152#2509C2211yescharacteristic
153#2508C2212yes—
154#2508C2212yes—
155#2508C2212yes—
156#2508C2212yes—
157#2508C2211yescharacteristic
158#2508C2212yes—
159#2508C2211yescharacteristic
160#2507C2212yes—
161#2507C2212yes—
162#2507C2211yescharacteristic
163#2507C2212yes—
164#2507C2212yes—
165#2507C2212yes—
166#2507C2211yescharacteristic
167#2506C2212yes—
168#2506C2212yes—
169#2506C2212yes—
170#2506C2211yescharacteristic
171#2506C2214yes—
172#2506C2212yes—
173#2506C2212yes—
174#2506C2211yescharacteristic
175#2505C2212yes—
176#2505C2214yes—
177#2505C2212yes—
178#2502C2214yes—
179#2497C2212yes—
180#2497C2212yes—
181#2497C2212yes—
182#2496C2212yes—
183#2496C2212yes—
184#2496C2214yes—
185#2496C2212yes—
186#2495C2212yes—
187#2495C2212yes—
188#2495C2212yes—
189#2494C2212yes—
190#2494C2212yes—
191#2494C2212yes—
192#2487C2214yes—
193#2481C2212yes—
194#2481C2212yes—
195#2481C2214yes—
196#2478C2214yes—
197#2475C2214yes—
198#2473C2212yes—
199#2473C2214yes—
200#2473C2212yes—
201#2469C2214yes—
202#2462C2214yes—
203#2454C2212yes—
204#2454C2212yes—
205#2454C2212yes—
206#2453C2212yes—
207#2453C2212yes—
208#2453C2212yes—
209#2453C2214yes—
210#2452C2212yes—
211#2451C2212yes—
212#2442C2214yes—
213#2442C2212yes—
214#2442C2212yes—
215#2442C2212yes—
216#2441C2212yes—
217#2441C2212yes—
218#2441C2212yes—
219#2440C2212yes—
220#2439C2212yes—
221#2421C2214yes—
222#2417C2214yes—
223#2402C2212yes—
224#2402C2212yes—
225#2401C2212yes—
226#2401C2212yes—
227#2370C2212yes—
228#2370C2212yes—
229#2370C2212yes—
230#2370C2212yes—
231#2370C2212yes—
232#2370C2212yes—
233#2370C2212yes—
234#2370C2212yes—
235#2357C2212yes—
236#2356C2212yes—
237#2355C2212yes—
238#2354C2212yes—
239#2347C2212yes—
240#2346C2212yes—
241#2345C2212yes—
242#2344C2212yes—
243#2336C2214yes—
244#2336C2214yes—
245#2334C2214yes—
246#2334C2214yes—
247#2331C2212yes—
248#2331C2212yes—
249#2330C2212yes—
250#2330C2212yes—
251#2329C2214yes—
252#2318C2214yes—
253#2317C2211yescharacteristic
254#2317C2211yescharacteristic
255#2317C2211yescharacteristic
256#2317C2211yescharacteristic
257#2317C2211yescharacteristic
258#2317C2211yescharacteristic
259#2317C2211yescharacteristic
260#2316C2211yescharacteristic
261#2316C2211yescharacteristic
262#2316C2211yescharacteristic
263#2311C2211yescharacteristic
264#2311C2211yescharacteristic
265#2311C2211yescharacteristic
266C4×C4⋊Q8C2212yes—
267C4×C4⋊Q8C2212yes—
268C4×#125C2212yes—
269C4×#125C2212yes—
270C4×#125C2212yes—
271C4×#125C2212yes—
272C4×#126C2212yes—
273C4×#126C2212yes—
274C4×C22⋊Q8C2214yes—
275#2297C2211yescharacteristic
276#2297C2211yescharacteristic
277#2297C2211yescharacteristic
278#2296C2211yescharacteristic
279#2296C2211yescharacteristic
280#2296C2211yescharacteristic
281#2296C2211yescharacteristic
282#2296C2211yescharacteristic
283C2×#389C2211yescharacteristic
284C2×#389C2212yes—
285C2×#389C2211yescharacteristic
286#2290C2214yes—
287C2×#387C2212yes—
288C2×#387C2212yes—
289#2285C2211yescharacteristic
290#2285C2211yescharacteristic
291#2274C2211yescharacteristic
292C4×#117C2211yescharacteristic
293C4×#117C2211yescharacteristic
294C2×C4×C4⋊C4C2211yescharacteristic
295C2×C4×C4⋊C4C2211yescharacteristic
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300#544—28no—
301C2×C4⋊Q8C2312yes—
302C2×C4⋊Q8C2312yes—
303C2×#126C2312yes—
304C2×#126C2312yes—
305C2×#126C2314yes—
306C2×#126C2314yes—
307C2×#126C2314yes—
308C2×#125—28no—
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#125C2314yes—
319C2×#125C2314yes—
320C2×#125C2314yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2314yes—
323#520—28no—
324C2×C4×Q8C2312yes—
325C2×C4×Q8C2314yes—
326C2×C4×D4C2314yes—
327C2×C4×D4C2312yes—
328C2×#117C2311yescharacteristic
329C2×#117C2311yescharacteristic
330C2×#117C2311yescharacteristic
331C2×#117C2311yescharacteristic
332C2×#117C2311yescharacteristic
333C2×#117C2311yescharacteristic
334C2×#117C2311yescharacteristic
335C2×#117C2312yes—
336C2×#117C2314yes—
337C22×C4⋊C4C2311yescharacteristic
338C22×C4⋊C4C2311yescharacteristic
339C22×C4⋊C4C2311yescharacteristic
340C22×C4⋊C4C2312yes—
341C22×C4⋊C4C2312yes—
342C22×C4⋊C4C2312yes—
343C22×C4⋊C4C2311yescharacteristic
344C22×C4⋊C4C2311yescharacteristic
345C22×C4⋊C4C2312yes—
346C22×C4⋊C4C2312yes—
347C22×C4⋊C4C2311yescharacteristic
348C22×C42C2311yescharacteristic
349C22×C42C2311yescharacteristic
350C22×C42C2311yescharacteristic
351C22×C42C2312yes—
352C22×C42C2312yes—
353C22×C42C2312yes—
354#401C2314yes—
355#401C2314yes—
356#401C2314yes—
357#401C2312yes—
358#401C2312yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2312yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2312yes—
371#400C2312yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2312yes—
391#400C2312yes—
392#400C2312yes—
393#400C2312yes—
394#400C2312yes—
395#400C2312yes—
396#400C2312yes—
397#400C2312yes—
398#400C2312yes—
399#400C2312yes—
400#400C2312yes—
401#399C2314yes—
402#399C2314yes—
403#399C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2312yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2312yes—
421#398C2312yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2312yes—
434#398C2312yes—
435#398C2312yes—
436#398C2312yes—
437#398C2312yes—
438#397C2312yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2312yes—
449#397C2312yes—
450#397C2312yes—
451#397C2312yes—
452#397C2312yes—
453#396C2314yes—
454#396C2314yes—
455#396C2312yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2312yes—
462#395C2314yes—
463#395C2314yes—
464#395C2314yes—
465#393C2314yes—
466#391C2314yes—
467#391C2314yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2314yes—
472#391C2311yescharacteristic
473#391C2311yescharacteristic
474#391C2314yes—
475#391C2314yes—
476#391C2314yes—
477#391C2311yescharacteristic
478#391C2311yescharacteristic
479#391C2311yescharacteristic
480#391C2311yescharacteristic
481#390C2312yes—
482#390C2312yes—
483#390C2312yes—
484#390C2311yescharacteristic
485#390C2311yescharacteristic
486#390C2311yescharacteristic
487#390C2311yescharacteristic
488#390C2311yescharacteristic
489#390C2311yescharacteristic
490#389C2312yes—
491#389C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2314yes—
503#389C2314yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2314yes—
511#389C2314yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2314yes—
525#389C2314yes—
526#389C2314yes—
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2314yes—
533#389C2314yes—
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2311yescharacteristic
538#389C2312yes—
539#389C2314yes—
540#389C2312yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2311yescharacteristic
555#389C2311yescharacteristic
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2311yescharacteristic
559#389C2311yescharacteristic
560#389C2311yescharacteristic
561#389C2311yescharacteristic
562#389C2311yescharacteristic
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#387C2312yes—
590#387C2312yes—
591#387C2312yes—
592#387C2312yes—
593#387C2312yes—
594#387C2312yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2312yes—
600#387C2312yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
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#386C2312yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2312yes—
655#386C2312yes—
656#386C2312yes—
657#386C2312yes—
658#386C2312yes—
659#385C2314yes—
660#385C2314yes—
661#385C2312yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2312yes—
670#385C2312yes—
671#385C2314yes—
672#385C2314yes—
673#385C2312yes—
674#385C2312yes—
675#385C2312yes—
676#385C2312yes—
677#385C2312yes—
678#385C2312yes—
679#385C2312yes—
680#384C2312yes—
681#384C2312yes—
682#384C2312yes—
683#384C2312yes—
684#384C2312yes—
685#384C2311yescharacteristic
686#384C2311yescharacteristic
687#384C2312yes—
688#384C2312yes—
689#384C2314yes—
690#384C2314yes—
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#383C2312yes—
694#383C2312yes—
695#383C2314yes—
696#383C2314yes—
697#383C2314yes—
698#383C2314yes—
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2312yes—
703#382C2311yescharacteristic
704#382C2311yescharacteristic
705#382C2311yescharacteristic
706#382C2311yescharacteristic
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2314yes—
711#382C2312yes—
712#382C2312yes—
713#382C2314yes—
714#382C2314yes—
715#382C2314yes—
716#382C2314yes—
717#381C2314yes—
718#380C2312yes—
719#380C2314yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2314yes—
732#380C2314yes—
733#380C2312yes—
734#380C2312yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2314yes—
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⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801#376C2312yes—
802#376C2312yes—
803#376C2314yes—
804C2×#95C2312yes—
805C2×#95C2312yes—
806C2×#95C2312yes—
807C2×#95C2312yes—
808C2×#95C2311yescharacteristic
809C2×#95C2311yescharacteristic
810C2×#95C2312yes—
811C43C2312yes—
812C43C2312yes—
813C2×#41—24no—
814C2×#41—24no—
815C2×#41—24no—
816C22×Q8C2411yescharacteristic
817C22×Q8C2414yes—
818C22×D4C2412yes—
819C22×D4C2411yescharacteristic
820C23×C4C2412yes—
821C23×C4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2412yes—
825C23×C4C2411yescharacteristic
826C23×C4C2412yes—
827C23×C4C2411yescharacteristic
828C23×C4C2414yes—
829C23×C4C2411yescharacteristic
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C4⋊Q8—28no—
834C4⋊Q8—28no—
835#126—48no—
836#126—44no—
837#126—48no—
838#126—44no—
839#126—84no—
840#125—28no—
841#125—28no—
842#125—28no—
843#125—28no—
844#125—28no—
845#125—28no—
846#125—48no—
847#125—48no—
848#125—44no—
849#125—44no—
850#125—84no—
851#125—84no—
852C22⋊Q8—216no—
853C22⋊Q8—84no—
854C4×Q8—28no—
855C4×Q8—84no—
856C4×D4—216no—
857C4×D4—28no—
858#117—24no—
859#117—24no—
860#117—24no—
861#117—24no—
862#117—24no—
863#117—24no—
864#117—24no—
865#117—28no—
866#117—84no—
867C2×C4⋊C4—28no—
868C2×C4⋊C4—28no—
869C2×C4⋊C4—24no—
870C2×C4⋊C4—24no—
871C2×C4⋊C4—24no—
872C2×C4⋊C4—28no—
873C2×C4⋊C4—42no—
874C2×C4⋊C4—42no—
875C2×C4⋊C4—44no—
876C2×C4⋊C4—82no—
877C2×C4⋊C4#4118yes—
878C2×C4⋊C4C2411yescharacteristic
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C42—24no—
995C2×C42—24no—
996C2×C42—24no—
997C2×C42—44no—
998C2×C42—82no—
999C2×C42—82no—
1000C2×C42C2414yes—
1001C2×C42C2412yes—
1002C2×C42C2412yes—
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2412yes—
1006C2×C42C2412yes—
1007C2×C42C2412yes—
1008C2×C42C2412yes—
1009C2×C42C2411yescharacteristic
1010C2×C42C2411yescharacteristic
1011C2×C42C2411yescharacteristic
1012C2×C42C2411yescharacteristic
1013C2×C42C2412yes—
1014C2×C42C2414yes—
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2414yes—
1024C2×C42C2414yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2414yes—
1028C2×C42C2412yes—
1029C2×C42C2414yes—
1030C2×C42C2412yes—
1031C2×C42C2414yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2414yes—
1035C2×C42C2414yes—
1036#95C2411yescharacteristic
1037#95C2411yescharacteristic
1038#95C2411yescharacteristic
1039#95C2411yescharacteristic
1040#95C2414yes—
1041#95C2414yes—
1042#95C2411yescharacteristic
1043#95C2411yescharacteristic
1044#95C2414yes—
1045#95C2414yes—
1046#95C2411yescharacteristic
1047#95C2411yescharacteristic
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2412yes—
1070#95C2414yes—
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#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
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—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130C24C2512yes—
1131C24C2511yescharacteristic
1132#41—416no—
1133C2×Q8—22no—
1134C2×Q8—28no—
1135C2×Q8—22no—
1136C2×Q8—22no—
1137C2×Q8—44no—
1138C2×Q8—44no—
1139C2×D4—24no—
1140C2×D4—24no—
1141C2×D4—24no—
1142C2×D4—22no—
1143C2×D4—22no—
1144C2×D4—22no—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—24no—
1148C22×C4—22no—
1149C22×C4—22no—
1150C22×C4—24no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—24no—
1154C22×C4—24no—
1155C22×C4—24no—
1156C22×C4—24no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—28no—
1160C22×C4—42no—
1161C22×C4—42no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—42no—
1165C22×C4—42no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—42no—
1169C22×C4—42no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—42no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—42no—
1176C22×C4—41no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—41no—
1180C22×C4C2×#4118yes—
1181C22×C4C2×#4114yes—
1182C22×C42−1+414yes—
1183C22×C42−1+414yes—
1184C22×C4C2512yes—
1185C22×C4C2511yescharacteristic
1186C22×C4C2511yescharacteristic
1187C22×C4C2511yescharacteristic
1188C22×C4C2512yes—
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2511yescharacteristic
1193C22×C4C2514yes—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2511yescharacteristic
1197C22×C4C2511yescharacteristic
1198C22×C4C2514yes—
1199C22×C4C2512yes—
1200C22×C4C2511yescharacteristic
1201C22×C4C2511yescharacteristic
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2511yescharacteristic
1207C22×C4C2511yescharacteristic
1208C22×C4C2514yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2514yes—
1213C22×C4C2511yescharacteristic
1214C22×C4C2511yescharacteristic
1215C22×C4C2511yescharacteristic
1216C22×C4C2511yescharacteristic
1217C4⋊C4—22no—
1218C4⋊C4—28no—
1219C4⋊C4—28no—
1220C4⋊C4—28no—
1221C4⋊C4—28no—
1222C4⋊C4—28no—
1223C4⋊C4—24no—
1224C4⋊C4—24no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—28no—
1231C4⋊C4—28no—
1232C4⋊C4—28no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—22no—
1238C4⋊C4—22no—
1239C4⋊C4—22no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—22no—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—28no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—42no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4C2×#4118yes—
1306C4⋊C4C2×#4118yes—
1307C22⋊C4—24no—
1308C22⋊C4—24no—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—24no—
1312C22⋊C4—24no—
1313C22⋊C4—24no—
1314C22⋊C4—28no—
1315C22⋊C4—24no—
1316C22⋊C4—24no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—44no—
1322C22⋊C4—42no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C42—22no—
1334C42—22no—
1335C42—22no—
1336C42—22no—
1337C42—28no—
1338C42—24no—
1339C42—24no—
1340C42—24no—
1341C42—22no—
1342C42—22no—
1343C42—22no—
1344C42—22no—
1345C42—22no—
1346C42—22no—
1347C42—22no—
1348C42—22no—
1349C42—24no—
1350C42—24no—
1351C42—24no—
1352C42—24no—
1353C42—28no—
1354C42—24no—
1355C42—24no—
1356C42—44no—
1357C42—44no—
1358C42—44no—
1359C42—44no—
1360C42—44no—
1361C42—44no—
1362C42—42no—
1363C42—42no—
1364C42—44no—
1365C42—42no—
1366C42—42no—
1367C42—42no—
1368C42—42no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—22no—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23C22×#4112yes—
1381C23C2×2−1+412yes—
1382C23C2×2−1+412yes—
1383C23C2611yescharacteristic
1384Q8—44no—
1385Q8—88no—
1386D4—48no—
1387D4—44no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—24no—
1392C2×C4—24no—
1393C2×C4—21no—
1394C2×C4—22no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—24no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—24no—
1421C2×C4—24no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—24no—
1425C2×C4—24no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—22no—
1443C2×C4—24no—
1444C2×C4—24no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—24no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—48no—
1479C2×C4—44no—
1480C2×C4—44no—
1481C2×C4—44no—
1482C2×C4—48no—
1483C2×C4—44no—
1484C2×C4—48no—
1485C2×C4—48no—
1486C2×C4—88no—
1487C2×C4—82no—
1488C2×C4—82no—
1489C2×C4—84no—
1490C2×C4#541116yes—
1491C2×C4C22×#4118yes—
1492C2×C4C22×#4112yes—
1493C2×C4C22×#4112yes—
1494C2×C4C2×2−1+412yes—
1495C2×C4C2×2−1+412yes—
1496C2×C4C2×2−1+412yes—
1497C2×C4C2×2−1+412yes—
1498C2×C4#58512yes—
1499C2×C4#58512yes—
1500C22—22no—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—42no—
1507C22—42no—
1508C22—42no—
1509C22—42no—
1510C22—42no—
1511C22—42no—
1512C22—42no—
1513C22C2×#54114yes—
1514C22C23×#4111yescharacteristic
1515C22C22×2−1+411yescharacteristic
1516C22C22×2−1+411yescharacteristic
1517C22C2×#58511yescharacteristic
1518C22C2×#58511yescharacteristic
1519C22H(7,𝔽2)11yescharacteristic
1520C222−1+611yescharacteristic
1521C4—28no—
1522C4—22no—
1523C4—22no—
1524C4—42no—
1525C4—42no—
1526C4—42no—
1527C4—41no—
1528C4—41no—
1529C4—44no—
1530C4—41no—
1531C4—41no—
1532C4—42no—
1533C4—42no—
1534C4—42no—
1535C4—42no—
1536C4—42no—
1537C4—42no—
1538C4—44no—
1539C4—42no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—42no—
1544C4—42no—
1545C4—42no—
1546C4—42no—
1547C4—42no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—44no—
1552C4C2×#54114yes—
1553C4C2×#54114yes—
1554C2—24no—
1555C2—82no—
1556C2C22×#54111yescharacteristic
1557C2#6279311yescharacteristic
1558C2#6284711yescharacteristic
1559C2#6292611yescharacteristic
1560C2#6292811yescharacteristic
1561C2#6295611yescharacteristic
1562C2#6295811yescharacteristic
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. #42774C2semidirect
2. #42773C2semidirect
3. #42748C2semidirect
4. #42744C2semidirect
5. #42638C2semidirect
6. #42636C2semidirect
7. #42573C2semidirect
8. #42569C2semidirect
9. #40202C2semidirect
10. #40189C2semidirect
11. #40130C2semidirect
12. #40120C2semidirect
13. #39788C2semidirect
14. #39780C2semidirect
15. #39250C2semidirect
16. #39241C2semidirect
17. #37504C2semidirect
18. #36798C2semidirect
19. #36782C2semidirect
20. #35640C2semidirect
22. #35585C2semidirect
25. #35265C2semidirect
26. #35181C2semidirect
29. #35159C2semidirect
30. #35061C2semidirect
32. #34815C2semidirect
34. C2×#2370C2semidirect
35. C4×#544C2semidirect

Maximal subgroups

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

subgroupindex
#427742
#427732
#427482
#427442
#426382
#426362
#425732
#425692
#402022
#401892
#401302
#401202
#397882
#397802
#392502
#392412
#375042
#367982
#367822
#356402
#356392
#355852
#355752
#352672
#352652
#351812
#351602
#351592
#350612
#348162
#348152
#342522
C2×#23702
C4×#5442