Finite Group Databasebeta

← #8657074

Subgroups — #8657074

Order 512.

4594 conjugacy classes of subgroups.

The subgroup lattice has 1483 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59102C212yesmaximal, complemented
2#56661C212yesmaximal, complemented
3#56256C214yesmaximal, complemented
4#55176C214yesmaximal, complemented
5#53103C211yesmaximal, characteristic, complemented
6#51438C214yesmaximal, complemented
7#48492C214yesmaximal, complemented
8#48410C214yesmaximal, complemented
9#47543C214yesmaximal, complemented
10#47194C212yesmaximal, complemented
11#46054C212yesmaximal, complemented
12#45697C211yesmaximal, characteristic, complemented
13#45433C212yesmaximal, complemented
14#45345C211yesmaximal, characteristic, complemented
15#44993C212yesmaximal, complemented
16#42838C212yesmaximal, complemented
17#42679C211yesmaximal, characteristic, complemented
18#41016C212yesmaximal, complemented
19#40147C212yesmaximal, complemented
20#40083C212yesmaximal, complemented
21#39134C211yesmaximal, characteristic, complemented
22#38987C212yesmaximal, complemented
23#38119C212yesmaximal, complemented
24#37412C212yesmaximal, complemented
25#36112C212yesmaximal, complemented
26#35995C211yesmaximal, characteristic, complemented
27#35523C212yesmaximal, complemented
28#35044C212yesmaximal, complemented
29#34921C211yesmaximal, characteristic, complemented
30C2×#553C2211yescharacteristic
31C2×#547C2211yescharacteristic, complemented
32C2×#529C2212yes—
33C22×#125C2211yescharacteristic, complemented
34C2×#518C2211yescharacteristic
35#2863C2212yescomplemented
36#2861C2212yes—
37#2858C2212yes—
38#2854C2211yescharacteristic, complemented
39#2851C2212yescomplemented
40#2850C2212yes—
41#2829C2214yes—
42#2829C2214yescomplemented
43#2828C2214yes—
44#2826C2212yes—
45#2815C2212yes—
46#2813C2212yes—
47#2812C2212yes—
48#2798C2214yes—
49#2797C2214yes—
50#2796C2214yescomplemented
51#2795C2214yes—
52#2795C2214yescomplemented
53#2794C2212yescomplemented
54#2793C2214yescomplemented
55#2790C2214yescomplemented
56#2786C2214yescomplemented
57#2786C2214yescomplemented
58#2781C2214yescomplemented
59#2780C2214yescomplemented
60#2777C2214yescomplemented
61#2772C2214yescomplemented
62#2772C2214yescomplemented
63#2771C2212yescomplemented
64#2770C2214yescomplemented
65#2767C2214yescomplemented
66#2764C2214yescomplemented
67#2761C2214yescomplemented
68#2757C2214yescomplemented
69#2756C2214yescomplemented
70#2754C2214yes—
71#2754C2214yescomplemented
72#2754C2214yescomplemented
73#2753C2214yes—
74#2753C2214yes—
75#2752C2212yes—
76#2752C2212yes—
77#2744C2214yescomplemented
78#2740C2214yescomplemented
79#2740C2214yescomplemented
80#2739C2214yescomplemented
81#2735C2212yes—
82#2735C2214yes—
83#2733C2214yes—
84#2731C2214yes—
85#2731C2214yescomplemented
86#2721C2214yescomplemented
87#2718C2214yescomplemented
88#2712C2214yes—
89#2710C2214yescomplemented
90#2710C2214yescomplemented
91#2708C2214yescomplemented
92#2706C2214yescomplemented
93#2703C2214yes—
94#2703C2214yescomplemented
95#2697C2212yes—
96#2694C2214yes—
97#2684C2214yes—
98#2682C2214yescomplemented
99#2678C2214yes—
100#2670C2214yes—
101#2670C2214yes—
102#2661C2214yescomplemented
103#2651C2214yes—
104#2649C2214yescomplemented
105#2648C2214yescomplemented
106#2644C2212yes—
107#2644C2212yescomplemented
108#2642C2211yescharacteristic, complemented
109#2636C2212yes—
110#2635C2212yescomplemented
111#2631C2214yescomplemented
112#2630C2214yescomplemented
113#2624C2211yescharacteristic
114#2623C2212yes—
115#2618C2212yes—
116#2607C2212yescomplemented
117#2607C2211yescharacteristic, complemented
118#2603C2212yes—
119#2602C2212yes—
120#2600C2214yes—
121#2600C2211yescharacteristic, complemented
122#2597C2214yescomplemented
123#2596C2212yes—
124#2592C2212yes—
125#2589C2212yescomplemented
126#2582C2212yescomplemented
127#2582C2212yescomplemented
128#2575C2212yescomplemented
129#2563C2214yescomplemented
130#2562C2211yescharacteristic, complemented
131#2558C2214yescomplemented
132#2557C2212yes—
133#2557C2214yescomplemented
134#2557C2214yescomplemented
135#2554C2214yescomplemented
136#2552C2212yescomplemented
137#2548C2212yes—
138#2547C2214yescomplemented
139#2546C2212yescomplemented
140#2545C2212yes—
141#2545C2214yescomplemented
142#2542C2211yescharacteristic
143#2535C2212yes—
144#2534C2214yes—
145#2532C2214yescomplemented
146#2532C2214yescomplemented
147#2531C2214yes—
148#2531C2214yescomplemented
149#2530C2214yescomplemented
150#2530C2214yescomplemented
151#2525C2214yes—
152#2519C2214yescomplemented
153#2518C2214yes—
154#2517C2211yescharacteristic, complemented
155#2517C2214yescomplemented
156#2513C2212yes—
157#2513C2212yescomplemented
158#2501C2212yes—
159#2501C2211yescharacteristic, complemented
160#2497C2212yescomplemented
161#2492C2212yes—
162#2492C2212yescomplemented
163#2491C2212yes—
164#2490C2212yes—
165#2490C2212yes—
166#2489C2212yescomplemented
167#2487C2212yescomplemented
168#2486C2211yescharacteristic
169#2486C2212yescomplemented
170#2485C2212yes—
171#2485C2214yes—
172#2482C2214yes—
173#2481C2214yescomplemented
174#2481C2214yescomplemented
175#2480C2214yes—
176#2475C2214yescomplemented
177#2471C2214yescomplemented
178#2466C2214yes—
179#2460C2214yescomplemented
180#2459C2212yes—
181#2459C2214yescomplemented
182#2459C2214yescomplemented
183#2458C2214yes—
184#2458C2214yescomplemented
185#2457C2214yescomplemented
186#2456C2214yescomplemented
187#2456C2214yescomplemented
188#2455C2214yes—
189#2455C2211yescharacteristic, complemented
190#2454C2212yes—
191#2454C2212yes—
192#2454C2212yescomplemented
193#2453C2212yescomplemented
194#2448C2214yescomplemented
195#2447C2212yes—
196#2447C2214yescomplemented
197#2446C2212yescomplemented
198#2443C2214yescomplemented
199#2441C2212yes—
200#2439C2212yescomplemented
201#2435C2212yes—
202#2433C2211yescharacteristic
203#2431C2212yes—
204#2431C2212yes—
205#2428C2212yes—
206#2427C2212yes—
207#2426C2212yes—
208#2424C2214yes—
209#2422C2212yes—
210#2421C2212yes—
211#2418C2214yes—
212#2418C2214yes—
213#2417C2212yescomplemented
214#2416C2212yes—
215#2415C2212yes—
216#2414C2212yes—
217#2414C2212yes—
218#2408C2211yescharacteristic
219#2408C2212yes—
220#2407C2212yes—
221#2407C2212yescomplemented
222#2398C2212yescomplemented
223#2397C2212yes—
224#2397C2211yescharacteristic
225#2395C2211yescharacteristic
226#2375C2212yes—
227#2375C2214yes—
228#2366C2212yes—
229#2365C2212yescomplemented
230#2362C2212yescomplemented
231#2361C2212yes—
232#2361C2214yescomplemented
233#2360C2212yescomplemented
234#2352C2214yescomplemented
235#2352C2214yescomplemented
236#2346C2211yescharacteristic
237#2346C2212yescomplemented
238#2345C2211yescharacteristic, complemented
239#2341C2212yescomplemented
240#2337C2214yescomplemented
241#2333C2214yescomplemented
242#2331C2214yescomplemented
243#2326C2212yes—
244#2326C2214yescomplemented
245#2323C2212yes—
246#2322C2212yescomplemented
247#2320C2212yescomplemented
248#2319C2212yes—
249#2319C2211yescharacteristic, complemented
250C4×#125C2212yescomplemented
251C4×#124C2212yes—
252C4×#123C2211yescharacteristic
253C4×#123C2212yescomplemented
254C4×#121C2212yes—
255#2297C2212yescomplemented
256#2295C2212yescomplemented
257#2290C2212yes—
258C42×D4C2212yescomplemented
259C22×#41C2312yes—
260C23×D4C2311yescharacteristic
261#553—44no—
262#547—44no—
263C2×C4⋊Q8C2314yes—
264C2×C4⋊Q8C2312yes—
265C2×C4⋊Q8C2311yescharacteristic
266C2×#127C2312yes—
267#529—48no—
268C2×#126C2312yes—
269C2×#126C2314yes—
270C2×#125—44no—
271C2×#125C2312yes—
272C2×#125C2311yescharacteristic
273C2×#125C2312yes—
274C2×#125C2314yes—
275C2×#124C2312yes—
276C2×#124C2314yes—
277C2×#124C2314yes—
278C2×#124C2312yes—
279C2×#124C2312yes—
280C2×#124C2314yes—
281C2×#124C2314yes—
282C2×#123C2312yes—
283C2×#123C2311yescharacteristic
284C2×#123C2312yes—
285C2×#123C2314yes—
286C2×#123C2314yes—
287C2×#123C2312yes—
288C2×#123C2312yes—
289C2×#123C2312yes—
290C2×#123C2312yes—
291C2×#123C2314yes—
292C2×C22⋊Q8C2312yes—
293C2×C22⋊Q8C2312yes—
294C2×C22⋊Q8C2312yes—
295C2×#121C2314yes—
296C2×#121C2312yes—
297C2×#121C2311yescharacteristic
298C2×#121C2314yes—
299C2×#121C2312yes—
300C2×#121C2311yescharacteristic
301C2×#121C2312yes—
302C2×#121C2312yes—
303C2×#121C2312yes—
304C2×#120C2312yes—
305C2×#120C2314yes—
306C2×#120C2314yes—
307#518—44no—
308C2×C4×Q8C2312yes—
309C2×C4×Q8C2312yes—
310C2×C4×Q8C2312yes—
311C2×C4×Q8C2314yes—
312C2×C4×D4C2312yes—
313C2×C4×D4C2311yescharacteristic
314C2×C4×D4C2311yescharacteristic
315C2×C4×D4C2314yes—
316C2×C4×D4C2312yes—
317C2×C4×D4C2312yes—
318C2×C4×D4C2312yes—
319C2×C4×D4C2314yes—
320C2×C4×D4C2312yes—
321C2×C4×D4C2312yes—
322C2×C4×D4C2314yes—
323C2×C4×D4C2312yes—
324C2×C4×D4C2311yescharacteristic
325C2×C4×D4C2312yes—
326C2×C4×D4C2312yes—
327C2×C4×D4C2314yes—
328C2×#117C2311yescharacteristic
329C2×#117C2311yescharacteristic
330C2×#117C2312yes—
331C2×#117C2314yes—
332C22×C4⋊C4C2311yescharacteristic
333C22×C4⋊C4C2312yes—
334C22×C4⋊C4C2312yes—
335C22×C4⋊C4C2312yes—
336C22×C4⋊C4C2311yescharacteristic
337C22×C22⋊C4C2314yes—
338C22×C42C2311yescharacteristic
339C22×C42C2312yes—
340#400C2312yes—
341#400C2314yes—
342#400C2314yes—
343#400C2311yescharacteristic
344#400C2312yes—
345#400C2312yes—
346#400C2314yes—
347#400C2312yes—
348#400C2314yes—
349#400C2312yes—
350#400C2314yes—
351#400C2314yes—
352#400C2314yes—
353#400C2314yes—
354#399C2312yes—
355#399C2312yes—
356#399C2314yes—
357#399C2311yescharacteristic
358#399C2311yescharacteristic
359#399C2311yescharacteristic
360#399C2312yes—
361#399C2312yes—
362#399C2314yes—
363#399C2314yes—
364#399C2314yes—
365#399C2314yes—
366#398C2312yes—
367#398C2314yes—
368#398C2311yescharacteristic
369#398C2314yes—
370#398C2314yes—
371#398C2314yes—
372#398C2314yes—
373#398C2314yes—
374#398C2314yes—
375#398C2314yes—
376#398C2314yes—
377#397C2314yes—
378#397C2314yes—
379#397C2314yes—
380#397C2314yes—
381#397C2314yes—
382#397C2312yes—
383#397C2314yes—
384#397C2312yes—
385#397C2314yes—
386#397C2314yes—
387#397C2311yescharacteristic
388#397C2312yes—
389#397C2312yes—
390#397C2314yes—
391#397C2314yes—
392#397C2314yes—
393#397C2314yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2312yes—
404#396C2314yes—
405#396C2314yes—
406#396C2314yes—
407#396C2314yes—
408#396C2314yes—
409#396C2314yes—
410#396C2314yes—
411#396C2314yes—
412#396C2314yes—
413#396C2314yes—
414#396C2314yes—
415#396C2314yes—
416#396C2314yes—
417#394C2312yes—
418#394C2314yes—
419#394C2314yes—
420#394C2314yes—
421#394C2314yes—
422#394C2314yes—
423#394C2314yes—
424#394C2314yes—
425#394C2312yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2314yes—
434#394C2312yes—
435#394C2312yes—
436#394C2312yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#393C2312yes—
443#393C2314yes—
444#393C2314yes—
445#393C2314yes—
446#393C2312yes—
447#393C2314yes—
448#393C2314yes—
449#392C2312yes—
450#392C2312yes—
451#392C2314yes—
452#392C2314yes—
453#392C2314yes—
454#392C2311yescharacteristic
455#392C2312yes—
456#392C2312yes—
457#392C2314yes—
458#392C2314yes—
459#392C2314yes—
460#392C2314yes—
461#392C2314yes—
462#392C2311yescharacteristic
463#392C2314yes—
464#392C2314yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2314yes—
469#391C2314yes—
470#391C2314yes—
471#391C2314yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2314yes—
478#391C2312yes—
479#391C2314yes—
480#390C2314yes—
481#390C2314yes—
482#390C2314yes—
483#390C2314yes—
484#390C2314yes—
485#390C2312yes—
486#390C2312yes—
487#390C2312yes—
488#390C2312yes—
489#390C2314yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2314yes—
495#390C2312yes—
496#390C2312yes—
497#390C2314yes—
498#390C2314yes—
499#390C2312yes—
500#390C2314yes—
501#390C2314yes—
502#390C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2314yes—
509#389C2314yes—
510#389C2312yes—
511#389C2312yes—
512#389C2314yes—
513#389C2314yes—
514#389C2314yes—
515#389C2314yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2314yes—
521#389C2312yes—
522#388C2314yes—
523#388C2312yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2312yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2312yes—
541#388C2312yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2312yes—
549#388C2312yes—
550#388C2312yes—
551#388C2312yes—
552#388C2312yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2312yes—
579#387C2312yes—
580#387C2312yes—
581#387C2312yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2312yes—
592#387C2314yes—
593#387C2314yes—
594#387C2312yes—
595#387C2312yes—
596#387C2312yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2312yes—
606#386C2314yes—
607#386C2312yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2312yes—
616#386C2312yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2311yescharacteristic
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2312yes—
629#385C2311yescharacteristic
630#385C2312yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2312yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2312yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#384C2312yes—
647#384C2314yes—
648#384C2312yes—
649#383C2314yes—
650#383C2314yes—
651#382C2312yes—
652#382C2314yes—
653#382C2314yes—
654#382C2312yes—
655#382C2314yes—
656#382C2312yes—
657#381C2314yes—
658#381C2312yes—
659#381C2312yes—
660#381C2312yes—
661#381C2314yes—
662#381C2311yescharacteristic
663#380C2312yes—
664#380C2312yes—
665#380C2312yes—
666#380C2314yes—
667#380C2314yes—
668#380C2314yes—
669#380C2312yes—
670#380C2312yes—
671#380C2312yes—
672#380C2314yes—
673#380C2311yescharacteristic
674#380C2311yescharacteristic
675#380C2314yes—
676#380C2314yes—
677#380C2314yes—
678#379C2314yes—
679#379C2314yes—
680#379C2314yes—
681#379C2312yes—
682C4×C4⋊C4C2314yes—
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2314yes—
686C4×C4⋊C4C2311yescharacteristic
687C4×C4⋊C4C2314yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C22⋊C4C2312yes—
696C4×C22⋊C4C2312yes—
697C4×C22⋊C4C2312yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2311yescharacteristic
705C4×C22⋊C4C2311yescharacteristic
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712#376C2312yes—
713#376C2311yescharacteristic
714#376C2314yes—
715#376C2312yes—
716C43C2312yes—
717C25C2412yes—
718C2×#41—44no—
719C2×#41—44no—
720C2×#41—44no—
721C22×Q8C2412yes—
722C22×Q8C2414yes—
723C22×Q8C2412yes—
724C22×D4—42no—
725C22×D4—44no—
726C22×D4C2412yes—
727C22×D4C2411yescharacteristic
728C22×D4C2412yes—
729C22×D4C2411yescharacteristic
730C22×D4C2414yes—
731C22×D4C2414yes—
732C22×D4C2412yes—
733C22×D4C2412yes—
734C22×D4C2412yes—
735C22×D4C2414yes—
736C22×D4C2414yes—
737C22×D4C2411yescharacteristic
738C22×D4C2412yes—
739C22×D4C2414yes—
740C22×D4C2414yes—
741C23×C4C2411yescharacteristic
742C23×C4C2411yescharacteristic
743C23×C4C2412yes—
744C23×C4C2414yes—
745C23×C4C2412yes—
746C23×C4C2412yes—
747C23×C4C2411yescharacteristic
748C23×C4C2412yes—
749C23×C4C2414yes—
750C23×C4C2411yescharacteristic
751C23×C4C2414yes—
752C23×C4C2412yes—
753C23×C4C2412yes—
754C4⋊Q8—44no—
755C4⋊Q8—48no—
756C4⋊Q8—42no—
757#127—44no—
758#126—44no—
759#126—48no—
760#125—28no—
761#125—44no—
762#125—42no—
763#125—48no—
764#124—48no—
765#124—44no—
766#124—44no—
767#124—48no—
768#124—44no—
769#124—84no—
770#124—84no—
771#123—44no—
772#123—48no—
773#123—48no—
774#123—44no—
775#123—42no—
776#123—44no—
777#123—84no—
778#123—82no—
779#123—82no—
780#123—82no—
781C22⋊Q8—28no—
782C22⋊Q8—44no—
783C22⋊Q8—44no—
784#121—44no—
785#121—44no—
786#121—48no—
787#121—44no—
788#121—44no—
789#121—44no—
790#121—42no—
791#121—42no—
792#121—48no—
793#120—48no—
794#120—44no—
795#120—84no—
796C4×Q8—44no—
797C4×Q8—44no—
798C4×Q8—44no—
799C4×Q8—84no—
800C4×D4—28no—
801C4×D4—24no—
802C4×D4—48no—
803C4×D4—44no—
804C4×D4—44no—
805C4×D4—48no—
806C4×D4—44no—
807C4×D4—44no—
808C4×D4—44no—
809C4×D4—44no—
810C4×D4—42no—
811C4×D4—44no—
812C4×D4—42no—
813C4×D4—48no—
814C4×D4—44no—
815C4×D4—84no—
816#117—24no—
817#117—42no—
818#117—44no—
819#117—48no—
820C2×C4⋊C4—24no—
821C2×C4⋊C4—44no—
822C2×C4⋊C4—44no—
823C2×C4⋊C4—42no—
824C2×C4⋊C4—44no—
825C2×C4⋊C4C2414yes—
826C2×C4⋊C4C2414yes—
827C2×C4⋊C4C2414yes—
828C2×C4⋊C4C2412yes—
829C2×C4⋊C4C2411yescharacteristic
830C2×C4⋊C4C2412yes—
831C2×C4⋊C4C2411yescharacteristic
832C2×C4⋊C4C2412yes—
833C2×C4⋊C4C2412yes—
834C2×C4⋊C4C2412yes—
835C2×C4⋊C4C2412yes—
836C2×C4⋊C4C2411yescharacteristic
837C2×C4⋊C4C2412yes—
838C2×C4⋊C4C2414yes—
839C2×C4⋊C4C2414yes—
840C2×C4⋊C4C2412yes—
841C2×C4⋊C4C2411yescharacteristic
842C2×C4⋊C4C2411yescharacteristic
843C2×C4⋊C4C2412yes—
844C2×C4⋊C4C2414yes—
845C2×C4⋊C4C2411yescharacteristic
846C2×C4⋊C4C2412yes—
847C2×C4⋊C4C2412yes—
848C2×C4⋊C4C2412yes—
849C2×C4⋊C4C2414yes—
850C2×C4⋊C4C2412yes—
851C2×C4⋊C4C2412yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2414yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2414yes—
856C2×C4⋊C4C2412yes—
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2414yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2411yescharacteristic
875C2×C22⋊C4—48no—
876C2×C22⋊C4C2412yes—
877C2×C22⋊C4C2414yes—
878C2×C22⋊C4C2412yes—
879C2×C22⋊C4C2414yes—
880C2×C22⋊C4C2412yes—
881C2×C22⋊C4C2414yes—
882C2×C22⋊C4C2412yes—
883C2×C22⋊C4C2412yes—
884C2×C22⋊C4C2412yes—
885C2×C22⋊C4C2411yescharacteristic
886C2×C22⋊C4C2412yes—
887C2×C22⋊C4C2412yes—
888C2×C22⋊C4C2414yes—
889C2×C22⋊C4C2414yes—
890C2×C22⋊C4C2414yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2411yescharacteristic
893C2×C22⋊C4C2412yes—
894C2×C22⋊C4C2411yescharacteristic
895C2×C22⋊C4C2412yes—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2412yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2412yes—
902C2×C22⋊C4C2412yes—
903C2×C22⋊C4C2412yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2412yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2412yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2412yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2411yescharacteristic
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C42—42no—
941C2×C42—44no—
942C2×C42C2412yes—
943C2×C42C2412yes—
944C2×C42C2411yescharacteristic
945C2×C42C2412yes—
946C2×C42C2414yes—
947C2×C42C2412yes—
948C2×C42C2412yes—
949C2×C42C2412yes—
950C2×C42C2412yes—
951C2×C42C2412yes—
952C2×C42C2414yes—
953C2×C42C2414yes—
954C2×C42C2414yes—
955C2×C42C2412yes—
956C2×C42C2412yes—
957C2×C42C2414yes—
958C2×C42C2414yes—
959C2×C42C2412yes—
960C2×C42C2412yes—
961C2×C42C2414yes—
962C2×C42C2412yes—
963C2×C42C2412yes—
964#95C2412yes—
965#95C2411yescharacteristic
966#95C2412yes—
967#95C2414yes—
968#95C2411yescharacteristic
969#95C2412yes—
970#95C2414yes—
971#95C2412yes—
972#95C2411yescharacteristic
973#95C2412yes—
974#95C2414yes—
975#95C2412yes—
976#95C2412yes—
977#95C2414yes—
978#95C2412yes—
979#95C2412yes—
980#95C2412yes—
981#95C2412yes—
982#95C2412yes—
983#95C2412yes—
984#95C2412yes—
985#95C2412yes—
986#95C2414yes—
987#95C2414yes—
988#95C2414yes—
989#95C2414yes—
990#95C2414yes—
991#95C2414yes—
992#95C2414yes—
993#95C2412yes—
994#95C2411yescharacteristic
995#95C2412yes—
996#95C2414yes—
997#95C2412yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2412yes—
1001#95C2412yes—
1002#95C2412yes—
1003#95C2414yes—
1004#95C2412yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2412yes—
1008#95C2412yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2412yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025C24—42no—
1026C24—44no—
1027C24—44no—
1028C24—42no—
1029C24—42no—
1030C24C2511yescharacteristic
1031C24C2514yes—
1032C24C2512yes—
1033C24C2512yes—
1034C24C2511yescharacteristic
1035#41—816no—
1036C2×Q8—24no—
1037C2×Q8—24no—
1038C2×Q8—24no—
1039C2×Q8—28no—
1040C2×Q8—24no—
1041C2×Q8—42no—
1042C2×Q8—44no—
1043C2×Q8—42no—
1044C2×Q8—44no—
1045C2×D4—24no—
1046C2×D4—22no—
1047C2×D4—28no—
1048C2×D4—24no—
1049C2×D4—24no—
1050C2×D4—22no—
1051C2×D4—24no—
1052C2×D4—24no—
1053C2×D4—24no—
1054C2×D4—28no—
1055C2×D4—42no—
1056C2×D4—42no—
1057C2×D4—42no—
1058C2×D4—44no—
1059C2×D4—41no—
1060C2×D4—42no—
1061C2×D4—41no—
1062C2×D4—44no—
1063C2×D4—44no—
1064C2×D4—42no—
1065C2×D4—44no—
1066C2×D4—42no—
1067C2×D4—44no—
1068C2×D4—44no—
1069C2×D4—44no—
1070C2×D4—44no—
1071C2×D4—44no—
1072C2×D4—42no—
1073C2×D4—41no—
1074C2×D4—42no—
1075C2×D4—44no—
1076C2×D4—42no—
1077C2×D4—44no—
1078C2×D4—44no—
1079C2×D4—44no—
1080C2×D4—44no—
1081C2×D4—44no—
1082C2×D4—44no—
1083C2×D4—42no—
1084C2×D4—44no—
1085C2×D4—44no—
1086C2×D4—416no—
1087C22×C4—22no—
1088C22×C4—24no—
1089C22×C4—22no—
1090C22×C4—24no—
1091C22×C4—22no—
1092C22×C4—24no—
1093C22×C4—24no—
1094C22×C4—24no—
1095C22×C4—24no—
1096C22×C4—28no—
1097C22×C4—24no—
1098C22×C4—24no—
1099C22×C4—41no—
1100C22×C4—41no—
1101C22×C4—42no—
1102C22×C4—42no—
1103C22×C4—42no—
1104C22×C4—44no—
1105C22×C4—44no—
1106C22×C4—44no—
1107C22×C4—44no—
1108C22×C4—44no—
1109C22×C4—42no—
1110C22×C4—42no—
1111C22×C4—42no—
1112C22×C4—42no—
1113C22×C4—42no—
1114C22×C4—41no—
1115C22×C4—42no—
1116C22×C4—44no—
1117C22×C4—44no—
1118C22×C4—44no—
1119C22×C4—44no—
1120C22×C4—44no—
1121C22×C4C2512yes—
1122C22×C4C2512yes—
1123C22×C4C2512yes—
1124C22×C4C2512yes—
1125C22×C4C2514yes—
1126C22×C4C2512yes—
1127C22×C4C2514yes—
1128C22×C4C2514yes—
1129C22×C4C2511yescharacteristic
1130C22×C4C2511yescharacteristic
1131C22×C4C2512yes—
1132C22×C4C2512yes—
1133C22×C4C2512yes—
1134C22×C4C2512yes—
1135C22×C4C2514yes—
1136C22×C4C2512yes—
1137C22×C4C2512yes—
1138C22×C4C2512yes—
1139C22×C4C2511yescharacteristic
1140C22×C4C2514yes—
1141C22×C4C2511yescharacteristic
1142C22×C4C2512yes—
1143C22×C4C2512yes—
1144C22×C4C2511yescharacteristic
1145C4⋊C4—22no—
1146C4⋊C4—24no—
1147C4⋊C4—28no—
1148C4⋊C4—28no—
1149C4⋊C4—28no—
1150C4⋊C4—24no—
1151C4⋊C4—22no—
1152C4⋊C4—24no—
1153C4⋊C4—24no—
1154C4⋊C4—24no—
1155C4⋊C4—24no—
1156C4⋊C4—41no—
1157C4⋊C4—42no—
1158C4⋊C4—44no—
1159C4⋊C4—44no—
1160C4⋊C4—42no—
1161C4⋊C4—41no—
1162C4⋊C4—41no—
1163C4⋊C4—42no—
1164C4⋊C4—44no—
1165C4⋊C4—42no—
1166C4⋊C4—42no—
1167C4⋊C4—42no—
1168C4⋊C4—42no—
1169C4⋊C4—41no—
1170C4⋊C4—44no—
1171C4⋊C4—42no—
1172C4⋊C4—42no—
1173C4⋊C4—42no—
1174C4⋊C4—44no—
1175C4⋊C4—44no—
1176C4⋊C4—42no—
1177C4⋊C4—44no—
1178C4⋊C4—44no—
1179C4⋊C4—44no—
1180C4⋊C4—44no—
1181C4⋊C4—42no—
1182C4⋊C4—44no—
1183C4⋊C4—44no—
1184C4⋊C4—42no—
1185C4⋊C4—42no—
1186C4⋊C4—44no—
1187C4⋊C4—42no—
1188C4⋊C4—44no—
1189C4⋊C4—44no—
1190C4⋊C4—44no—
1191C4⋊C4—44no—
1192C4⋊C4—44no—
1193C4⋊C4—44no—
1194C4⋊C4H(5,𝔽2)14yes—
1195C22⋊C4—24no—
1196C22⋊C4—22no—
1197C22⋊C4—24no—
1198C22⋊C4—28no—
1199C22⋊C4—24no—
1200C22⋊C4—28no—
1201C22⋊C4—24no—
1202C22⋊C4—28no—
1203C22⋊C4—24no—
1204C22⋊C4—24no—
1205C22⋊C4—24no—
1206C22⋊C4—42no—
1207C22⋊C4—44no—
1208C22⋊C4—44no—
1209C22⋊C4—44no—
1210C22⋊C4—44no—
1211C22⋊C4—42no—
1212C22⋊C4—44no—
1213C22⋊C4—44no—
1214C22⋊C4—42no—
1215C22⋊C4—42no—
1216C22⋊C4—42no—
1217C22⋊C4—42no—
1218C22⋊C4—41no—
1219C22⋊C4—42no—
1220C22⋊C4—42no—
1221C22⋊C4—41no—
1222C22⋊C4—44no—
1223C22⋊C4—44no—
1224C22⋊C4—44no—
1225C22⋊C4—44no—
1226C22⋊C4—42no—
1227C22⋊C4—44no—
1228C22⋊C4—44no—
1229C22⋊C4—44no—
1230C22⋊C4—44no—
1231C22⋊C4—44no—
1232C22⋊C4—44no—
1233C22⋊C4—44no—
1234C22⋊C4—44no—
1235C22⋊C4—44no—
1236C22⋊C4—42no—
1237C22⋊C4—44no—
1238C22⋊C4—44no—
1239C22⋊C4—42no—
1240C22⋊C4—42no—
1241C22⋊C4—44no—
1242C22⋊C4—42no—
1243C22⋊C4—42no—
1244C22⋊C4—41no—
1245C22⋊C4—44no—
1246C22⋊C4—44no—
1247C22⋊C4—44no—
1248C22⋊C4—44no—
1249C22⋊C4—44no—
1250C22⋊C4—44no—
1251C22⋊C4—44no—
1252C22⋊C4—44no—
1253C22⋊C4—44no—
1254C22⋊C4—44no—
1255C22⋊C4—42no—
1256C22⋊C4—44no—
1257C22⋊C4—42no—
1258C22⋊C4—44no—
1259C42—24no—
1260C42—24no—
1261C42—24no—
1262C42—22no—
1263C42—24no—
1264C42—28no—
1265C42—24no—
1266C42—24no—
1267C42—24no—
1268C42—42no—
1269C42—42no—
1270C42—42no—
1271C42—44no—
1272C42—44no—
1273C42—42no—
1274C42—44no—
1275C42—44no—
1276C42—42no—
1277C42—44no—
1278C42—44no—
1279C42—42no—
1280C42—42no—
1281C23—21no—
1282C23—22no—
1283C23—22no—
1284C23—21no—
1285C23—21no—
1286C23—22no—
1287C23—24no—
1288C23—22no—
1289C23—22no—
1290C23—22no—
1291C23—24no—
1292C23—22no—
1293C23—24no—
1294C23—22no—
1295C23—21no—
1296C23—22no—
1297C23—22no—
1298C23—24no—
1299C23—22no—
1300C23—24no—
1301C23—24no—
1302C23—22no—
1303C23—24no—
1304C23—24no—
1305C23—22no—
1306C23—24no—
1307C23—21no—
1308C23—22no—
1309C23—48no—
1310C23—162no—
1311C23—164no—
1312C23—162no—
1313C23—164no—
1314C23#58512yes—
1315C23C2611yescharacteristic
1316Q8—48no—
1317Q8—88no—
1318Q8—84no—
1319D4—48no—
1320D4—48no—
1321D4—48no—
1322D4—44no—
1323D4—88no—
1324D4—88no—
1325D4—84no—
1326D4—82no—
1327D4—82no—
1328D4—88no—
1329D4—88no—
1330D4—84no—
1331D4—88no—
1332D4—162no—
1333D4—164no—
1334C2×C4—24no—
1335C2×C4—22no—
1336C2×C4—22no—
1337C2×C4—21no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—22no—
1341C2×C4—22no—
1342C2×C4—21no—
1343C2×C4—22no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—22no—
1347C2×C4—24no—
1348C2×C4—24no—
1349C2×C4—22no—
1350C2×C4—22no—
1351C2×C4—22no—
1352C2×C4—22no—
1353C2×C4—22no—
1354C2×C4—22no—
1355C2×C4—24no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—22no—
1359C2×C4—24no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—24no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—24no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—24no—
1369C2×C4—24no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—24no—
1375C2×C4—21no—
1376C2×C4—24no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—24no—
1380C2×C4—22no—
1381C2×C4—24no—
1382C2×C4—24no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—24no—
1388C2×C4—22no—
1389C2×C4—21no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—24no—
1393C2×C4—24no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—44no—
1397C2×C4—44no—
1398C2×C4—48no—
1399C2×C4—88no—
1400C2×C4—84no—
1401C2×C4—84no—
1402C2×C4—82no—
1403C2×C4—84no—
1404C2×C4—82no—
1405C2×C4—84no—
1406C2×C4—84no—
1407C2×C4—88no—
1408C2×C4—164no—
1409C2×C4C2×H(5,𝔽2)14yes—
1410C2×C4C2×H(5,𝔽2)12yes—
1411C2×C4#58514yes—
1412C2×C4#58514yes—
1413C22—24no—
1414C22—22no—
1415C22—41no—
1416C22—41no—
1417C22—42no—
1418C22—42no—
1419C22—41no—
1420C22—42no—
1421C22—44no—
1422C22—42no—
1423C22—42no—
1424C22—44no—
1425C22—41no—
1426C22—42no—
1427C22—44no—
1428C22—44no—
1429C22—42no—
1430C22—44no—
1431C22—42no—
1432C22—42no—
1433C22—44no—
1434C22—42no—
1435C22—41no—
1436C22—42no—
1437C22—44no—
1438C22—42no—
1439C22—44no—
1440C22—44no—
1441C22—42no—
1442C22—168no—
1443C22C22×H(5,𝔽2)11yescharacteristic
1444C22C2×#58512yes—
1445C22C2×#58512yes—
1446C22C2×#58511yescharacteristic
1447C22H(7,𝔽2)11yescharacteristic
1448C4—24no—
1449C4—24no—
1450C4—41no—
1451C4—42no—
1452C4—41no—
1453C4—44no—
1454C4—42no—
1455C4—42no—
1456C4—41no—
1457C4—42no—
1458C4—42no—
1459C4—42no—
1460C4—44no—
1461C4—42no—
1462C4—42no—
1463C4—42no—
1464C4—44no—
1465C4—42no—
1466C4—41no—
1467C4—42no—
1468C4—44no—
1469C4—42no—
1470C4—44no—
1471C4#354014yes—
1472C2—42no—
1473C2—82no—
1474C2—82no—
1475C2—84no—
1476C2—81no—
1477C2C2×#354011yescharacteristic
1478C2#6282712yes—
1479C2#6289911yescharacteristic
1480C2#6294112yes—
1481C2#6302111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59102C2semidirect
2. #56661C2semidirect
3. #56256C2semidirect
4. #55176C2semidirect
5. #53103C2semidirect
6. #51438C2semidirect
7. #48492C2semidirect
8. #48410C2semidirect
9. #47543C2semidirect
10. #47194C2semidirect
11. #46054C2semidirect
12. #45697C2semidirect
13. #45433C2semidirect
14. #45345C2semidirect
15. #44993C2semidirect
16. #42838C2semidirect
17. #42679C2semidirect
18. #41016C2semidirect
19. #40147C2semidirect
20. #40083C2semidirect
21. #39134C2semidirect
22. #38987C2semidirect
23. #38119C2semidirect
24. #37412C2semidirect
25. #36112C2semidirect
26. #35995C2semidirect
27. #35523C2semidirect
28. #35044C2semidirect
29. #34921C2semidirect
31. C2×#547C22semidirect
33. C22×#125C22semidirect
35. #2863C22semidirect
38. #2854C22semidirect
39. #2851C22semidirect
42. #2829C22semidirect
50. #2796C22semidirect
52. #2795C22semidirect
53. #2794C22semidirect
54. #2793C22semidirect
55. #2790C22semidirect
56. #2786C22semidirect
57. #2786C22semidirect
58. #2781C22semidirect
59. #2780C22semidirect
60. #2777C22semidirect
61. #2772C22semidirect
62. #2772C22semidirect
63. #2771C22semidirect
64. #2770C22semidirect
65. #2767C22semidirect
66. #2764C22semidirect
67. #2761C22semidirect
68. #2757C22semidirect
69. #2756C22semidirect
71. #2754C22semidirect
72. #2754C22semidirect
77. #2744C22semidirect
78. #2740C22semidirect
79. #2740C22semidirect
80. #2739C22semidirect
85. #2731C22semidirect
86. #2721C22semidirect
87. #2718C22semidirect
89. #2710C22semidirect
90. #2710C22semidirect
91. #2708C22semidirect
92. #2706C22semidirect
94. #2703C22semidirect
98. #2682C22semidirect
102. #2661C22semidirect
104. #2649C22semidirect
105. #2648C22semidirect
107. #2644C22semidirect
108. #2642C22semidirect
110. #2635C22semidirect
111. #2631C22semidirect
112. #2630C22semidirect
116. #2607C22semidirect
117. #2607C22semidirect
121. #2600C22semidirect
122. #2597C22semidirect
125. #2589C22semidirect
126. #2582C22semidirect
127. #2582C22semidirect
128. #2575C22semidirect
129. #2563C22semidirect
130. #2562C22semidirect
131. #2558C22semidirect
133. #2557C22semidirect
134. #2557C22semidirect
135. #2554C22semidirect
136. #2552C22semidirect
138. #2547C22semidirect
139. #2546C22semidirect
141. #2545C22semidirect
145. #2532C22semidirect
146. #2532C22semidirect
148. #2531C22semidirect
149. #2530C22semidirect
150. #2530C22semidirect
152. #2519C22semidirect
154. #2517C22semidirect
155. #2517C22semidirect
157. #2513C22semidirect
159. #2501C22semidirect
160. #2497C22semidirect
162. #2492C22semidirect
166. #2489C22semidirect
167. #2487C22semidirect
169. #2486C22semidirect
173. #2481C22semidirect
174. #2481C22semidirect
176. #2475C22semidirect
177. #2471C22semidirect
179. #2460C22semidirect
181. #2459C22semidirect
182. #2459C22semidirect
184. #2458C22semidirect
185. #2457C22semidirect
186. #2456C22semidirect
187. #2456C22semidirect
189. #2455C22semidirect
192. #2454C22semidirect
193. #2453C22semidirect
194. #2448C22semidirect
196. #2447C22semidirect
197. #2446C22semidirect
198. #2443C22semidirect
200. #2439C22semidirect
213. #2417C22semidirect
221. #2407C22semidirect
222. #2398C22semidirect
229. #2365C22semidirect
230. #2362C22semidirect
232. #2361C22semidirect
233. #2360C22semidirect
234. #2352C22semidirect
235. #2352C22semidirect
237. #2346C22semidirect
238. #2345C22semidirect
239. #2341C22semidirect
240. #2337C22semidirect
241. #2333C22semidirect
242. #2331C22semidirect
244. #2326C22semidirect
246. #2322C22semidirect
247. #2320C22semidirect
249. #2319C22semidirect
250. C4×#125C22semidirect
253. C4×#123C22semidirect
255. #2297C22semidirect
256. #2295C22semidirect
258. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#591022
#566612
#562562
#551762
#531032
#514382
#484922
#484102
#475432
#471942
#460542
#456972
#454332
#453452
#449932
#428382
#426792
#410162
#401472
#400832
#391342
#389872
#381192
#374122
#361122
#359952
#355232
#350442
#349212