Finite Group Databasebeta

← #7650727

Subgroups — #7650727

Order 512.

4256 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#42728C212yesmaximal, complemented
4#42723C212yesmaximal, complemented
5#42716C212yesmaximal, complemented
6#42710C212yesmaximal, complemented
7#42638C212yesmaximal, complemented
8#42636C212yesmaximal, complemented
9#41428C214yesmaximal, complemented
10#41428C214yesmaximal, complemented
11#40130C212yesmaximal, complemented
12#40120C212yesmaximal, complemented
13#40082C212yesmaximal, complemented
14#40075C212yesmaximal, complemented
15#39250C212yesmaximal, complemented
16#39241C212yesmaximal, complemented
17#39032C212yesmaximal, complemented
18#39027C212yesmaximal, complemented
19#38461C214yesmaximal, complemented
20#37882C214yesmaximal, complemented
21#35639C211yesmaximal, characteristic
22#35639C211yesmaximal, characteristic
23#35557C211yesmaximal, characteristic
24#35555C211yesmaximal, characteristic, complemented
25#35545C211yesmaximal, characteristic
26#35543C211yesmaximal, characteristic, complemented
27#35267C211yesmaximal, characteristic
28#35265C211yesmaximal, characteristic, complemented
29#35159C211yesmaximal, characteristic, complemented
30C2×#2552C211yesmaximal, characteristic, complemented
31#34816C211yesmaximal, characteristic
32#34815C211yesmaximal, characteristic, complemented
33#34252C211yesmaximal, characteristic
34#34217C211yesmaximal, characteristic, complemented
35#34217C211yesmaximal, characteristic, complemented
36C22×#125C2211yescharacteristic
37C22×#125C2211yescharacteristic
38C2×#520C2211yescharacteristic
39#2864C2212yes—
40#2863C2212yes—
41#2860C2212yes—
42#2859C2212yes—
43#2851C2214yes—
44#2839C2214yes—
45#2839C2214yes—
46#2836C2214yes—
47#2836C2214yes—
48#2802C2214yes—
49#2794C2214yes—
50#2794C2214yes—
51#2794C2214yes—
52#2794C2214yes—
53#2783C2214yes—
54#2776C2214yes—
55#2776C2214yes—
56#2776C2214yes—
57#2772C2214yes—
58#2769C2214yes—
59#2769C2214yes—
60#2766C2214yes—
61#2766C2214yes—
62#2766C2214yes—
63#2747C2214yes—
64#2747C2214yes—
65#2744C2214yes—
66#2744C2214yes—
67#2739C2214yes—
68#2739C2214yes—
69#2725C2214yes—
70#2725C2214yes—
71#2722C2214yes—
72#2722C2214yes—
73#2721C2214yes—
74#2721C2214yes—
75#2721C2214yes—
76#2721C2214yes—
77#2719C2214yes—
78#2719C2214yes—
79#2719C2214yes—
80#2664C2214yes—
81#2664C2214yes—
82#2655C2214yes—
83#2655C2214yes—
84#2655C2214yes—
85#2655C2214yes—
86#2655C2214yes—
87#2654C2214yes—
88#2654C2214yes—
89#2652C2214yes—
90#2647C2214yes—
91#2647C2212yes—
92#2647C2212yes—
93#2646C2214yes—
94#2645C2212yes—
95#2644C2212yes—
96#2629C2214yes—
97#2579C2214yes—
98#2579C2214yes—
99#2571C2212yes—
100#2570C2212yes—
101#2570C2212yes—
102#2570C2212yes—
103#2570C2212yes—
104#2552C2212yes—
105#2552C2212yes—
106#2552C2212yes—
107#2552C2212yes—
108#2552C2212yes—
109#2552C2212yes—
110#2552C2212yes—
111#2552C2212yes—
112#2552C2212yes—
113#2552C2212yes—
114#2552C2212yes—
115#2533C2214yes—
116#2528C2214yes—
117#2524C2214yes—
118#2524C2214yes—
119#2519C2214yes—
120#2519C2214yes—
121#2514C2211yescharacteristic
122#2514C2211yescharacteristic
123#2514C2212yes—
124#2513C2211yescharacteristic
125#2513C2211yescharacteristic
126#2513C2212yes—
127#2512C2211yescharacteristic
128#2512C2211yescharacteristic
129#2512C2212yes—
130#2512C2212yes—
131#2512C2212yes—
132#2511C2211yescharacteristic
133#2511C2211yescharacteristic
134#2511C2212yes—
135#2511C2212yes—
136#2511C2212yes—
137#2510C2212yes—
138#2510C2212yes—
139#2510C2214yes—
140#2510C2214yes—
141#2509C2212yes—
142#2509C2211yescharacteristic
143#2509C2212yes—
144#2509C2212yes—
145#2509C2211yescharacteristic
146#2509C2212yes—
147#2508C2212yes—
148#2508C2212yes—
149#2508C2212yes—
150#2508C2212yes—
151#2508C2211yescharacteristic
152#2508C2211yescharacteristic
153#2507C2211yescharacteristic
154#2507C2212yes—
155#2507C2212yes—
156#2507C2212yes—
157#2507C2212yes—
158#2507C2212yes—
159#2507C2212yes—
160#2507C2211yescharacteristic
161#2506C2212yes—
162#2506C2214yes—
163#2506C2212yes—
164#2506C2212yes—
165#2506C2212yes—
166#2506C2212yes—
167#2506C2211yescharacteristic
168#2506C2214yes—
169#2506C2212yes—
170#2506C2211yescharacteristic
171#2505C2214yes—
172#2505C2214yes—
173#2505C2212yes—
174#2505C2212yes—
175#2497C2212yes—
176#2497C2212yes—
177#2497C2212yes—
178#2497C2212yes—
179#2496C2212yes—
180#2496C2212yes—
181#2496C2214yes—
182#2496C2212yes—
183#2496C2212yes—
184#2496C2214yes—
185#2495C2212yes—
186#2495C2212yes—
187#2494C2212yes—
188#2494C2212yes—
189#2487C2214yes—
190#2487C2214yes—
191#2481C2212yes—
192#2481C2212yes—
193#2481C2214yes—
194#2481C2214yes—
195#2481C2214yes—
196#2481C2214yes—
197#2478C2214yes—
198#2475C2214yes—
199#2473C2212yes—
200#2473C2214yes—
201#2473C2214yes—
202#2473C2214yes—
203#2473C2214yes—
204#2473C2212yes—
205#2454C2212yes—
206#2454C2212yes—
207#2454C2212yes—
208#2454C2212yes—
209#2453C2212yes—
210#2453C2212yes—
211#2453C2212yes—
212#2453C2212yes—
213#2442C2212yes—
214#2442C2212yes—
215#2442C2212yes—
216#2442C2212yes—
217#2441C2212yes—
218#2441C2212yes—
219#2441C2212yes—
220#2441C2212yes—
221#2402C2212yes—
222#2402C2212yes—
223#2401C2212yes—
224#2401C2212yes—
225C2×#398C2212yes—
226C2×#398C2212yes—
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#2345C2214yes—
242#2345C2214yes—
243#2345C2212yes—
244#2345C2214yes—
245#2345C2214yes—
246#2344C2212yes—
247#2336C2214yes—
248#2334C2214yes—
249#2330C2212yes—
250#2330C2212yes—
251#2330C2214yes—
252#2330C2212yes—
253#2330C2212yes—
254#2318C2214yes—
255#2317C2211yescharacteristic
256#2317C2211yescharacteristic
257#2317C2211yescharacteristic
258#2317C2211yescharacteristic
259#2317C2211yescharacteristic
260#2316C2211yescharacteristic
261#2316C2211yescharacteristic
262#2316C2211yescharacteristic
263#2316C2211yescharacteristic
264#2314C2214yes—
265#2311C2211yescharacteristic
266#2311C2211yescharacteristic
267#2311C2211yescharacteristic
268C4×#125C2212yes—
269C4×#125C2212yes—
270C4×#125C2212yes—
271C4×#125C2212yes—
272C4×#125C2212yes—
273C4×#125C2212yes—
274C4×#126C2212yes—
275C4×#126C2212yes—
276#2297C2211yescharacteristic
277#2297C2211yescharacteristic
278#2297C2211yescharacteristic
279#2296C2211yescharacteristic
280#2296C2211yescharacteristic
281#2296C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284C2×#389C2212yes—
285C2×#389C2211yescharacteristic
286C2×#389C2211yescharacteristic
287#2290C2214yes—
288#2285C2211yescharacteristic
289#2285C2211yescharacteristic
290C2×#384C2211yescharacteristic
291C2×#384C2212yes—
292#2274C2211yescharacteristic
293#2274C2211yescharacteristic
294#2274C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C2×#126C2312yes—
301C2×#126C2312yes—
302C2×#126C2314yes—
303C2×#126C2314yes—
304C2×#126C2314yes—
305C2×#126C2314yes—
306C2×#125—28no—
307C2×#125—28no—
308C2×#125C2312yes—
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#125C2314yes—
320C2×#125C2314yes—
321C2×#125C2314yes—
322C2×#125C2314yes—
323#520—28no—
324C2×C4×Q8C2312yes—
325C2×C4×D4C2314yes—
326C2×C4×D4C2312yes—
327C2×#117C2311yescharacteristic
328C2×#117C2311yescharacteristic
329C2×#117C2311yescharacteristic
330C2×#117C2311yescharacteristic
331C2×#117C2311yescharacteristic
332C2×#117C2311yescharacteristic
333C2×#117C2311yescharacteristic
334C2×#117C2312yes—
335C2×#117C2314yes—
336C22×C4⋊C4C2311yescharacteristic
337C22×C4⋊C4C2311yescharacteristic
338C22×C4⋊C4C2311yescharacteristic
339C22×C4⋊C4C2312yes—
340C22×C4⋊C4C2312yes—
341C22×C4⋊C4C2312yes—
342C22×C4⋊C4C2312yes—
343C22×C4⋊C4C2312yes—
344C22×C4⋊C4C2311yescharacteristic
345C22×C4⋊C4C2311yescharacteristic
346C22×C4⋊C4C2312yes—
347C22×C4⋊C4C2312yes—
348C22×C4⋊C4C2312yes—
349C22×C4⋊C4C2312yes—
350C22×C4⋊C4C2311yescharacteristic
351C22×C42C2311yescharacteristic
352C22×C42C2311yescharacteristic
353C22×C42C2311yescharacteristic
354C22×C42C2312yes—
355#401C2314yes—
356#401C2312yes—
357#401C2312yes—
358#401C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2312yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2312yes—
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#400C2312yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2312yes—
389#400C2312yes—
390#400C2312yes—
391#400C2312yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2312yes—
398#400C2312yes—
399#400C2312yes—
400#400C2312yes—
401#399C2314yes—
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2312yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2312yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2312yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2312yes—
436#398C2314yes—
437#398C2314yes—
438#398C2312yes—
439#398C2312yes—
440#398C2314yes—
441#398C2312yes—
442#398C2312yes—
443#397C2312yes—
444#397C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2312yes—
452#397C2314yes—
453#397C2312yes—
454#397C2312yes—
455#397C2312yes—
456#397C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2312yes—
464#396C2314yes—
465#396C2314yes—
466#396C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2311yescharacteristic
471#391C2311yescharacteristic
472#391C2311yescharacteristic
473#391C2311yescharacteristic
474#391C2311yescharacteristic
475#391C2311yescharacteristic
476#390C2312yes—
477#390C2312yes—
478#390C2312yes—
479#390C2311yescharacteristic
480#390C2311yescharacteristic
481#390C2311yescharacteristic
482#390C2311yescharacteristic
483#390C2311yescharacteristic
484#390C2311yescharacteristic
485#389C2312yes—
486#389C2312yes—
487#389C2312yes—
488#389C2312yes—
489#389C2312yes—
490#389C2312yes—
491#389C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2311yescharacteristic
499#389C2311yescharacteristic
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2314yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2314yes—
521#389C2314yes—
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#389C2314yes—
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2311yescharacteristic
537#389C2311yescharacteristic
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2311yescharacteristic
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2311yescharacteristic
553#389C2314yes—
554#389C2314yes—
555#389C2312yes—
556#389C2312yes—
557#389C2311yescharacteristic
558#389C2311yescharacteristic
559#389C2311yescharacteristic
560#389C2311yescharacteristic
561#389C2311yescharacteristic
562#389C2311yescharacteristic
563#389C2311yescharacteristic
564#389C2312yes—
565#389C2311yescharacteristic
566#389C2312yes—
567#388C2312yes—
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#387C2312yes—
586#387C2312yes—
587#387C2312yes—
588#387C2312yes—
589#387C2312yes—
590#387C2312yes—
591#387C2312yes—
592#387C2312yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
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#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2312yes—
653#386C2312yes—
654#386C2312yes—
655#386C2312yes—
656#386C2312yes—
657#386C2312yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2312yes—
664#385C2312yes—
665#385C2312yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2312yes—
671#385C2312yes—
672#385C2312yes—
673#385C2312yes—
674#385C2312yes—
675#385C2312yes—
676#385C2312yes—
677#384C2314yes—
678#384C2311yescharacteristic
679#384C2312yes—
680#384C2312yes—
681#384C2312yes—
682#384C2312yes—
683#384C2312yes—
684#384C2312yes—
685#384C2312yes—
686#384C2311yescharacteristic
687#384C2311yescharacteristic
688#384C2311yescharacteristic
689#384C2314yes—
690#384C2314yes—
691#384C2314yes—
692#384C2312yes—
693#384C2312yes—
694#383C2312yes—
695#383C2312yes—
696#383C2314yes—
697#383C2314yes—
698#383C2314yes—
699#382C2311yescharacteristic
700#382C2311yescharacteristic
701#382C2311yescharacteristic
702#382C2311yescharacteristic
703#382C2312yes—
704#382C2312yes—
705#382C2314yes—
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2314yes—
711#382C2312yes—
712#382C2314yes—
713#382C2314yes—
714#381C2314yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2314yes—
722#380C2314yes—
723#380C2314yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2314yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2314yes—
733#380C2314yes—
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
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⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
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⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2314yes—
806C2×#95C2312yes—
807C2×#95C2311yescharacteristic
808C2×#95C2311yescharacteristic
809C2×#95C2312yes—
810C2×#95C2312yes—
811C43C2312yes—
812C43C2312yes—
813C2×#41—24no—
814C2×#41—24no—
815C2×#41—24no—
816C22×Q8C2411yescharacteristic
817C22×D4C2412yes—
818C22×D4C2411yescharacteristic
819C23×C4C2411yescharacteristic
820C23×C4C2412yes—
821C23×C4C2412yes—
822C23×C4C2412yes—
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2412yes—
828C23×C4C2411yescharacteristic
829C23×C4C2414yes—
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832#126—44no—
833#126—48no—
834#126—44no—
835#126—84no—
836#126—84no—
837#126—84no—
838#125—28no—
839#125—28no—
840#125—28no—
841#125—28no—
842#125—28no—
843#125—28no—
844#125—28no—
845#125—28no—
846#125—48no—
847#125—44no—
848#125—44no—
849#125—48no—
850#125—84no—
851#125—84no—
852#125—84no—
853C4×Q8—28no—
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—48no—
865C2×C4⋊C4—28no—
866C2×C4⋊C4—28no—
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—82no—
878C2×C4⋊C4—82no—
879C2×C4⋊C4#4118yes—
880C2×C4⋊C4C2411yescharacteristic
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
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×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C42—24no—
1000C2×C42—24no—
1001C2×C42—24no—
1002C2×C42—44no—
1003C2×C42C2414yes—
1004C2×C42C2412yes—
1005C2×C42C2414yes—
1006C2×C42C2412yes—
1007C2×C42C2412yes—
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2411yescharacteristic
1013C2×C42C2411yescharacteristic
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2414yes—
1025C2×C42C2412yes—
1026C2×C42C2414yes—
1027C2×C42C2414yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2414yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2414yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2411yescharacteristic
1042#95C2411yescharacteristic
1043#95C2411yescharacteristic
1044#95C2411yescharacteristic
1045#95C2411yescharacteristic
1046#95C2411yescharacteristic
1047#95C2411yescharacteristic
1048#95C2411yescharacteristic
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
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#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131C24C2512yes—
1132C24C2511yescharacteristic
1133#41—416no—
1134C2×Q8—22no—
1135C2×Q8—22no—
1136C2×Q8—22no—
1137C2×D4—24no—
1138C2×D4—24no—
1139C2×D4—24no—
1140C2×D4—22no—
1141C2×D4—22no—
1142C2×D4—22no—
1143C22×C4—22no—
1144C22×C4—22no—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—24no—
1148C22×C4—22no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—24no—
1153C22×C4—24no—
1154C22×C4—24no—
1155C22×C4—24no—
1156C22×C4—24no—
1157C22×C4—28no—
1158C22×C4—42no—
1159C22×C4—42no—
1160C22×C4—41no—
1161C22×C4—42no—
1162C22×C4—42no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—42no—
1169C22×C4—42no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—42no—
1173C22×C4—42no—
1174C22×C4—44no—
1175C22×C4—44no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4C2×#4118yes—
1179C22×C4C2×#4114yes—
1180C22×C42−1+414yes—
1181C22×C42−1+414yes—
1182C22×C4C2512yes—
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2511yescharacteristic
1187C22×C4C2511yescharacteristic
1188C22×C4C2512yes—
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2511yescharacteristic
1192C22×C4C2511yescharacteristic
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2511yescharacteristic
1198C22×C4C2511yescharacteristic
1199C22×C4C2514yes—
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2511yescharacteristic
1204C22×C4C2511yescharacteristic
1205C22×C4C2511yescharacteristic
1206C22×C4C2511yescharacteristic
1207C22×C4C2514yes—
1208C22×C4C2514yes—
1209C22×C4C2512yes—
1210C22×C4C2514yes—
1211C22×C4C2511yescharacteristic
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C22×C4C2511yescharacteristic
1215C4⋊C4—22no—
1216C4⋊C4—28no—
1217C4⋊C4—28no—
1218C4⋊C4—28no—
1219C4⋊C4—28no—
1220C4⋊C4—28no—
1221C4⋊C4—28no—
1222C4⋊C4—28no—
1223C4⋊C4—28no—
1224C4⋊C4—28no—
1225C4⋊C4—24no—
1226C4⋊C4—24no—
1227C4⋊C4—24no—
1228C4⋊C4—24no—
1229C4⋊C4—22no—
1230C4⋊C4—24no—
1231C4⋊C4—24no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
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—22no—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—28no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—44no—
1259C4⋊C4—41no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
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—44no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
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—44no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4C2×#4118yes—
1307C4⋊C4C2×#4118yes—
1308C22⋊C4—24no—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—24no—
1312C22⋊C4—24no—
1313C22⋊C4—24no—
1314C22⋊C4—24no—
1315C22⋊C4—28no—
1316C22⋊C4—24no—
1317C22⋊C4—24no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—44no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—44no—
1329C22⋊C4—42no—
1330C22⋊C4—44no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—44no—
1334C42—22no—
1335C42—22no—
1336C42—22no—
1337C42—22no—
1338C42—22no—
1339C42—22no—
1340C42—22no—
1341C42—22no—
1342C42—28no—
1343C42—24no—
1344C42—22no—
1345C42—22no—
1346C42—22no—
1347C42—22no—
1348C42—24no—
1349C42—24no—
1350C42—24no—
1351C42—24no—
1352C42—24no—
1353C42—24no—
1354C42—28no—
1355C42—44no—
1356C42—44no—
1357C42—42no—
1358C42—42no—
1359C42—44no—
1360C42—42no—
1361C42—44no—
1362C42—42no—
1363C42—42no—
1364C42—44no—
1365C42—44no—
1366C42—44no—
1367C42—42no—
1368C42—42no—
1369C42—42no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23C22×#4112yes—
1382C23C2×2−1+412yes—
1383C23C2×2−1+412yes—
1384C23C2611yescharacteristic
1385Q8—44no—
1386D4—48no—
1387D4—44no—
1388C2×C4—28no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—24no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—24no—
1395C2×C4—22no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—24no—
1407C2×C4—24no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—22no—
1411C2×C4—22no—
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—22no—
1421C2×C4—22no—
1422C2×C4—24no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—24no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—22no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—24no—
1440C2×C4—24no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—21no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—24no—
1459C2×C4—24no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—48no—
1480C2×C4—44no—
1481C2×C4—48no—
1482C2×C4—48no—
1483C2×C4—88no—
1484C2×C4—82no—
1485C2×C4—82no—
1486C2×C4—82no—
1487C2×C4—82no—
1488C2×C4—84no—
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—41no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—42no—
1529C4—42no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—44no—
1535C4—44no—
1536C4—42no—
1537C4—42no—
1538C4—42no—
1539C4—42no—
1540C4—42no—
1541C4—42no—
1542C4—41no—
1543C4—41no—
1544C4—42no—
1545C4—42no—
1546C4—42no—
1547C4—44no—
1548C4—42no—
1549C4—42no—
1550C4—42no—
1551C4—42no—
1552C4C2×#54114yes—
1553C4C2×#54114yes—
1554C2—24no—
1555C2—82no—
1556C2C22×#54111yescharacteristic
1557C2#6282511yescharacteristic
1558C2#6287711yescharacteristic
1559C2#6292611yescharacteristic
1560C2#6295611yescharacteristic
1561C2#6299111yescharacteristic
1562C2#6300611yescharacteristic
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. #42728C2semidirect
4. #42723C2semidirect
5. #42716C2semidirect
6. #42710C2semidirect
7. #42638C2semidirect
8. #42636C2semidirect
9. #41428C2semidirect
10. #41428C2semidirect
11. #40130C2semidirect
12. #40120C2semidirect
13. #40082C2semidirect
14. #40075C2semidirect
15. #39250C2semidirect
16. #39241C2semidirect
17. #39032C2semidirect
18. #39027C2semidirect
19. #38461C2semidirect
20. #37882C2semidirect
24. #35555C2semidirect
26. #35543C2semidirect
28. #35265C2semidirect
29. #35159C2semidirect
30. C2×#2552C2semidirect
32. #34815C2semidirect
34. #34217C2semidirect
35. #34217C2semidirect

Maximal subgroups

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

subgroupindex
#427742
#427732
#427282
#427232
#427162
#427102
#426382
#426362
#414282
#401302
#401202
#400822
#400752
#392502
#392412
#390322
#390272
#384612
#378822
#356392
#355572
#355552
#355452
#355432
#352672
#352652
#351592
C2×#25522
#348162
#348152
#342522
#342172