Finite Group Databasebeta

← #7645590

Subgroups — #7645590

Order 512.

5382 conjugacy classes of subgroups.

The subgroup lattice has 1601 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42074C214yesmaximal, complemented
2#42071C214yesmaximal, complemented
3#42061C214yesmaximal, complemented
4#42057C214yesmaximal, complemented
5#39439C212yesmaximal, complemented
6#39434C212yesmaximal, complemented
7#39272C212yesmaximal, complemented
8#39268C212yesmaximal, complemented
9#37787C212yesmaximal, complemented
10#37782C212yesmaximal, complemented
11#37775C212yesmaximal, complemented
12#37772C212yesmaximal, complemented
13#37618C211yesmaximal, characteristic, complemented
14#37570C212yesmaximal, complemented
15#37536C211yesmaximal, characteristic, complemented
16#37202C214yesmaximal, complemented
17#36818C212yesmaximal, complemented
18#36812C212yesmaximal, complemented
19#35438C212yesmaximal, complemented
20#35422C212yesmaximal, complemented
21#35329C211yesmaximal, characteristic, complemented
22#35213C211yesmaximal, characteristic, complemented
23#35169C212yesmaximal, complemented
24#35109C212yesmaximal, complemented
25#35044C214yesmaximal, complemented
26#34889C212yesmaximal, complemented
27#34240C211yesmaximal, characteristic, complemented
28#34155C211yesmaximal, characteristic, complemented
29#34086C211yesmaximal, characteristic, complemented
30C2×#542C2212yescomplemented
31C2×#540C2212yes—
32C2×#536C2212yes—
33C2×#535C2212yes—
34C2×#532C2211yescharacteristic
35C2×#532C2211yescharacteristic
36C2×#532C2212yes—
37C2×#529C2212yescomplemented
38C22×#124C2211yescharacteristic
39#2863C2214yescomplemented
40#2858C2214yes—
41#2856C2212yes—
42#2855C2212yescomplemented
43#2854C2212yes—
44#2854C2214yescomplemented
45#2850C2212yescomplemented
46#2850C2214yescomplemented
47#2837C2214yescomplemented
48#2828C2214yescomplemented
49#2819C2214yes—
50#2815C2214yes—
51#2808C2214yescomplemented
52#2798C2214yescomplemented
53#2796C2214yescomplemented
54#2796C2214yescomplemented
55#2754C2214yescomplemented
56#2733C2214yescomplemented
57#2730C2214yescomplemented
58#2724C2214yescomplemented
59#2716C2214yescomplemented
60#2716C2214yescomplemented
61#2714C2214yescomplemented
62#2714C2214yescomplemented
63#2712C2214yes—
64#2712C2214yescomplemented
65#2712C2214yescomplemented
66#2710C2214yes—
67#2710C2214yescomplemented
68#2710C2214yescomplemented
69#2706C2214yes—
70#2705C2214yes—
71#2705C2214yescomplemented
72#2696C2214yes—
73#2693C2214yes—
74#2682C2214yescomplemented
75#2678C2214yes—
76#2678C2214yes—
77#2673C2214yes—
78#2673C2214yes—
79#2673C2214yescomplemented
80#2673C2214yescomplemented
81#2670C2214yes—
82#2668C2214yes—
83#2667C2212yes—
84#2665C2212yes—
85#2663C2214yescomplemented
86#2661C2214yescomplemented
87#2661C2214yescomplemented
88#2658C2212yes—
89#2657C2212yes—
90#2657C2212yes—
91#2657C2212yescomplemented
92#2651C2214yescomplemented
93#2649C2214yescomplemented
94#2648C2214yescomplemented
95#2648C2214yescomplemented
96#2640C2212yes—
97#2640C2212yescomplemented
98#2635C2214yescomplemented
99#2631C2214yes—
100#2631C2214yescomplemented
101#2625C2212yescomplemented
102#2624C2212yes—
103#2620C2212yescomplemented
104#2619C2212yes—
105#2617C2212yes—
106#2617C2212yes—
107#2615C2212yes—
108#2615C2212yes—
109#2612C2214yescomplemented
110#2608C2212yes—
111#2607C2212yes—
112#2607C2214yescomplemented
113#2597C2214yescomplemented
114#2597C2214yescomplemented
115#2589C2214yescomplemented
116#2570C2212yescomplemented
117#2559C2214yescomplemented
118#2559C2214yescomplemented
119#2557C2214yes—
120#2557C2214yes—
121#2557C2214yescomplemented
122#2557C2214yescomplemented
123#2557C2214yescomplemented
124#2557C2214yescomplemented
125#2555C2214yescomplemented
126#2554C2214yes—
127#2553C2214yescomplemented
128#2550C2212yescomplemented
129#2547C2211yescharacteristic, complemented
130#2547C2211yescharacteristic, complemented
131#2544C2212yes—
132#2544C2212yes—
133#2541C2211yescharacteristic, complemented
134#2541C2211yescharacteristic, complemented
135#2540C2212yes—
136#2540C2212yes—
137#2540C2212yes—
138#2540C2212yes—
139#2539C2214yes—
140#2539C2212yes—
141#2539C2212yes—
142#2539C2214yes—
143#2535C2212yescomplemented
144#2535C2212yescomplemented
145#2521C2214yescomplemented
146#2516C2214yescomplemented
147#2513C2214yescomplemented
148#2492C2212yescomplemented
149#2492C2214yescomplemented
150#2491C2212yes—
151#2490C2212yes—
152#2489C2212yescomplemented
153#2476C2214yescomplemented
154#2476C2214yescomplemented
155#2471C2214yes—
156#2471C2214yescomplemented
157#2471C2214yescomplemented
158#2471C2214yescomplemented
159#2467C2214yescomplemented
160#2464C2214yescomplemented
161#2464C2214yescomplemented
162#2459C2214yes—
163#2459C2214yescomplemented
164#2459C2214yescomplemented
165#2457C2214yes—
166#2456C2214yescomplemented
167#2456C2214yescomplemented
168#2447C2214yescomplemented
169#2441C2212yes—
170#2439C2212yes—
171#2439C2214yescomplemented
172#2436C2211yescharacteristic
173#2436C2211yescharacteristic
174#2433C2211yescharacteristic
175#2433C2211yescharacteristic
176#2431C2214yes—
177#2431C2212yes—
178#2431C2212yes—
179#2431C2214yescomplemented
180#2428C2212yes—
181#2428C2214yes—
182#2428C2212yes—
183#2428C2212yes—
184#2428C2212yes—
185#2428C2214yescomplemented
186#2427C2212yescomplemented
187#2427C2212yescomplemented
188#2426C2212yescomplemented
189#2426C2212yescomplemented
190#2424C2214yes—
191#2424C2214yes—
192#2423C2212yescomplemented
193#2422C2212yes—
194#2421C2212yescomplemented
195#2420C2212yes—
196#2414C2214yescomplemented
197#2407C2214yescomplemented
198#2404C2214yes—
199#2404C2212yes—
200#2404C2212yes—
201#2395C2214yescomplemented
202#2388C2214yescomplemented
203#2372C2214yes—
204#2372C2214yescomplemented
205#2369C2212yescomplemented
206#2367C2212yes—
207#2367C2212yes—
208#2366C2212yescomplemented
209#2363C2212yes—
210#2363C2214yes—
211#2363C2212yes—
212#2342C2214yes—
213Q8×C22⋊C4C2212yes—
214D4×C22⋊C4C2212yes—
215#2337C2212yes—
216#2337C2212yes—
217#2337C2212yescomplemented
218#2337C2212yescomplemented
219#2333C2211yescharacteristic
220#2333C2211yescharacteristic
221#2333C2211yescharacteristic
222#2333C2211yescharacteristic
223#2333C2214yescomplemented
224#2333C2214yescomplemented
225#2331C2212yescomplemented
226#2331C2212yescomplemented
227#2330C2212yescomplemented
228#2328C2212yescomplemented
229#2324C2212yes—
230#2324C2212yes—
231#2324C2212yes—
232#2323C2212yescomplemented
233#2312C2212yes—
234C4×#124C2212yes—
235C4×#124C2212yes—
236C4×C22⋊Q8C2212yescomplemented
237C4×#121C2212yes—
238C4×#121C2214yescomplemented
239#2297C2212yes—
240#2297C2212yes—
241#2297C2212yes—
242#2297C2212yes—
243#2297C2214yescomplemented
244#2293C2211yescharacteristic, complemented
245#2293C2212yescomplemented
246#2293C2212yescomplemented
247#2293C2211yescharacteristic, complemented
248#2290C2212yescomplemented
249#2290C2212yescomplemented
250#2283C2211yescharacteristic
251#2283C2211yescharacteristic
252#2273C2212yes—
253C42×D4C2212yescomplemented
254C42×D4C2211yescharacteristic, complemented
255C42×D4C2211yescharacteristic, complemented
256C42×D4C2212yescomplemented
257C4×#117C2211yescharacteristic
258C4×#117C2211yescharacteristic
259C22×#41C2312yes—
260C22×#41C2312yes—
261C22×#41C2314yes—
262C23×Q8C2311yescharacteristic
263C23×D4C2311yescharacteristic
264#542—48no—
265#540—48no—
266#536—48no—
267#535—48no—
268#532—28no—
269#532—28no—
270#532—48no—
271C2×C4⋊Q8C2311yescharacteristic
272C2×C4⋊Q8C2312yes—
273C2×C4⋊Q8C2311yescharacteristic
274C2×C4⋊Q8C2314yes—
275C2×#127C2311yescharacteristic
276C2×#127C2311yescharacteristic
277C2×#127C2312yes—
278C2×#127C2314yes—
279C2×#127C2312yes—
280C2×#127C2312yes—
281C2×#127C2312yes—
282#529—48no—
283C2×#126C2314yes—
284C2×#126C2314yes—
285C2×#125C2312yes—
286C2×#124—28no—
287C2×#124C2312yes—
288C2×#124C2312yes—
289C2×#124C2312yes—
290C2×#124C2312yes—
291C2×#124C2312yes—
292C2×#124C2312yes—
293C2×#124C2312yes—
294C2×#124C2314yes—
295C2×#124C2314yes—
296C2×#124C2312yes—
297C2×#124C2314yes—
298C2×#124C2314yes—
299C2×#124C2314yes—
300C2×#124C2312yes—
301C2×#124C2312yes—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×#123C2314yes—
308C2×#123C2314yes—
309C2×#123C2314yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2314yes—
314C2×C22⋊Q8C2312yes—
315C2×#121C2312yes—
316C2×#121C2312yes—
317C2×#121C2311yescharacteristic
318C2×#121C2311yescharacteristic
319C2×#121C2311yescharacteristic
320C2×#121C2311yescharacteristic
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2314yes—
324C2×#121C2314yes—
325C2×#121C2312yes—
326C2×#121C2314yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#120C2314yes—
339C2×#120C2314yes—
340C2×#120C2312yes—
341C2×#120C2312yes—
342C2×#120C2312yes—
343C2×#120C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2314yes—
362C2×#117C2312yes—
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2314yes—
367C2×#117C2312yes—
368C2×#117C2312yes—
369C22×C22⋊C4C2312yes—
370C22×C22⋊C4C2312yes—
371C22×C22⋊C4C2314yes—
372C22×C42C2312yes—
373C22×C42C2312yes—
374C22×C42C2312yes—
375C22×C42C2312yes—
376C22×C42C2311yescharacteristic
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#399C2314yes—
383#399C2314yes—
384#399C2314yes—
385#399C2314yes—
386#399C2314yes—
387#399C2314yes—
388#399C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#397C2314yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#396C2314yes—
410#396C2314yes—
411#396C2314yes—
412#396C2314yes—
413#396C2314yes—
414#396C2314yes—
415#395C2314yes—
416#394C2314yes—
417#394C2314yes—
418#394C2314yes—
419#394C2314yes—
420#394C2314yes—
421#394C2314yes—
422#394C2314yes—
423#394C2314yes—
424#394C2314yes—
425#394C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#393C2314yes—
439#393C2314yes—
440#393C2314yes—
441#393C2314yes—
442#393C2314yes—
443#393C2314yes—
444#393C2314yes—
445#393C2314yes—
446#393C2314yes—
447#392C2314yes—
448#392C2314yes—
449#392C2314yes—
450#392C2314yes—
451#392C2314yes—
452#392C2314yes—
453#392C2314yes—
454#392C2314yes—
455#392C2314yes—
456#392C2314yes—
457#392C2314yes—
458#392C2314yes—
459#392C2314yes—
460#392C2314yes—
461#392C2314yes—
462#392C2314yes—
463#392C2314yes—
464#392C2314yes—
465#392C2314yes—
466#392C2314yes—
467#392C2314yes—
468#392C2314yes—
469#392C2314yes—
470#392C2314yes—
471#392C2314yes—
472#392C2314yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2314yes—
479#391C2314yes—
480#391C2312yes—
481#391C2314yes—
482#391C2314yes—
483#391C2314yes—
484#391C2312yes—
485#391C2314yes—
486#391C2312yes—
487#391C2312yes—
488#391C2314yes—
489#391C2314yes—
490#391C2314yes—
491#391C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2312yes—
499#390C2314yes—
500#390C2314yes—
501#390C2314yes—
502#390C2314yes—
503#390C2314yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2314yes—
508#390C2314yes—
509#390C2314yes—
510#390C2314yes—
511#390C2314yes—
512#390C2314yes—
513#390C2314yes—
514#390C2314yes—
515#390C2314yes—
516#390C2312yes—
517#390C2314yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2314yes—
522#390C2314yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2314yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2314yes—
531#389C2314yes—
532#389C2312yes—
533#389C2314yes—
534#389C2314yes—
535#389C2312yes—
536#389C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2312yes—
546#388C2312yes—
547#388C2312yes—
548#388C2312yes—
549#388C2314yes—
550#388C2312yes—
551#388C2312yes—
552#388C2312yes—
553#388C2312yes—
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#387C2314yes—
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#386C2312yes—
592#386C2312yes—
593#386C2312yes—
594#386C2312yes—
595#386C2314yes—
596#386C2312yes—
597#386C2312yes—
598#386C2312yes—
599#386C2312yes—
600#386C2312yes—
601#386C2312yes—
602#386C2312yes—
603#386C2312yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2312yes—
618#386C2312yes—
619#386C2312yes—
620#386C2312yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#385C2314yes—
634#385C2312yes—
635#385C2312yes—
636#385C2312yes—
637#385C2312yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#384C2312yes—
644#383C2312yes—
645#383C2312yes—
646#382C2312yes—
647#382C2312yes—
648#382C2312yes—
649#382C2314yes—
650#381C2311yescharacteristic
651#381C2311yescharacteristic
652#381C2314yes—
653#381C2314yes—
654#381C2312yes—
655#380C2314yes—
656#380C2312yes—
657#380C2311yescharacteristic
658#380C2311yescharacteristic
659#380C2312yes—
660#380C2312yes—
661#380C2314yes—
662#380C2312yes—
663#380C2312yes—
664#380C2314yes—
665#379C2314yes—
666C4×C4⋊C4C2311yescharacteristic
667C4×C4⋊C4C2312yes—
668C4×C4⋊C4C2312yes—
669C4×C4⋊C4C2312yes—
670C4×C4⋊C4C2312yes—
671C4×C4⋊C4C2311yescharacteristic
672C4×C4⋊C4C2312yes—
673C4×C4⋊C4C2311yescharacteristic
674C4×C4⋊C4C2314yes—
675C4×C4⋊C4C2311yescharacteristic
676C4×C4⋊C4C2311yescharacteristic
677C4×C4⋊C4C2314yes—
678C4×C4⋊C4C2312yes—
679C4×C4⋊C4C2312yes—
680C4×C4⋊C4C2311yescharacteristic
681C4×C22⋊C4C2311yescharacteristic
682C4×C22⋊C4C2312yes—
683C4×C22⋊C4C2311yescharacteristic
684C4×C22⋊C4C2312yes—
685C4×C22⋊C4C2312yes—
686C4×C22⋊C4C2312yes—
687C4×C22⋊C4C2312yes—
688C4×C22⋊C4C2312yes—
689C4×C22⋊C4C2314yes—
690C4×C22⋊C4C2314yes—
691C4×C22⋊C4C2314yes—
692C4×C22⋊C4C2312yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2312yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2311yescharacteristic
711C4×C22⋊C4C2311yescharacteristic
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714#376C2312yes—
715#376C2312yes—
716#376C2312yes—
717#376C2312yes—
718C43C2312yes—
719C43C2311yescharacteristic
720C43C2311yescharacteristic
721C25C2412yes—
722C2×#41—28no—
723C2×#41—28no—
724C2×#41—44no—
725C2×#41—44no—
726C2×#41—48no—
727C2×#41—48no—
728C2×#41—82no—
729C2×#41—84no—
730C2×#41—82no—
731C22×Q8—24no—
732C22×Q8—44no—
733C22×Q8C2412yes—
734C22×Q8C2414yes—
735C22×Q8C2412yes—
736C22×Q8C2412yes—
737C22×Q8C2412yes—
738C22×D4—24no—
739C22×D4—44no—
740C22×D4C2411yescharacteristic
741C22×D4C2411yescharacteristic
742C22×D4C2412yes—
743C22×D4C2412yes—
744C22×D4C2412yes—
745C22×D4C2414yes—
746C22×D4C2411yescharacteristic
747C22×D4C2411yescharacteristic
748C22×D4C2412yes—
749C22×D4C2412yes—
750C22×D4C2412yes—
751C22×D4C2412yes—
752C22×D4C2414yes—
753C22×D4C2412yes—
754C22×D4C2412yes—
755C22×D4C2412yes—
756C22×D4C2414yes—
757C22×D4C2414yes—
758C22×D4C2414yes—
759C22×D4C2414yes—
760C22×D4C2414yes—
761C22×D4C2414yes—
762C22×D4C2414yes—
763C22×D4C2414yes—
764C22×D4C2414yes—
765C22×D4C2414yes—
766C23×C4C2412yes—
767C23×C4C2412yes—
768C23×C4C2414yes—
769C23×C4C2411yescharacteristic
770C23×C4C2412yes—
771C23×C4C2414yes—
772C23×C4C2412yes—
773C23×C4C2412yes—
774C23×C4C2412yes—
775C23×C4C2414yes—
776C23×C4C2412yes—
777C23×C4C2414yes—
778C23×C4C2412yes—
779C23×C4C2412yes—
780C23×C4C2411yescharacteristic
781C23×C4C2411yescharacteristic
782C4⋊Q8—28no—
783C4⋊Q8—24no—
784C4⋊Q8—24no—
785C4⋊Q8—48no—
786#127—24no—
787#127—24no—
788#127—44no—
789#127—48no—
790#127—44no—
791#127—82no—
792#127—82no—
793#126—48no—
794#126—48no—
795#125—28no—
796#124—28no—
797#124—28no—
798#124—28no—
799#124—28no—
800#124—28no—
801#124—28no—
802#124—48no—
803#124—48no—
804#124—44no—
805#124—44no—
806#124—48no—
807#124—48no—
808#124—84no—
809#124—82no—
810#124—82no—
811#123—48no—
812#123—48no—
813#123—48no—
814#123—48no—
815#123—48no—
816#123—48no—
817#123—84no—
818#123—84no—
819C22⋊Q8—28no—
820C22⋊Q8—28no—
821C22⋊Q8—44no—
822C22⋊Q8—44no—
823C22⋊Q8—48no—
824#121—24no—
825#121—24no—
826#121—28no—
827#121—28no—
828#121—24no—
829#121—24no—
830#121—28no—
831#121—28no—
832#121—48no—
833#121—48no—
834#121—48no—
835#121—48no—
836#121—48no—
837#121—44no—
838#121—44no—
839#121—44no—
840#121—44no—
841#121—48no—
842#121—44no—
843#121—44no—
844#121—84no—
845#121—84no—
846#121—84no—
847#120—48no—
848#120—48no—
849#120—82no—
850#120—82no—
851#120—82no—
852#120—82no—
853C4×Q8—44no—
854C4×Q8—44no—
855C4×D4—28no—
856C4×D4—28no—
857C4×D4—28no—
858C4×D4—24no—
859C4×D4—24no—
860C4×D4—28no—
861C4×D4—24no—
862C4×D4—24no—
863C4×D4—44no—
864C4×D4—44no—
865C4×D4—44no—
866C4×D4—44no—
867C4×D4—48no—
868C4×D4—48no—
869C4×D4—48no—
870C4×D4—84no—
871#117—28no—
872#117—44no—
873#117—44no—
874#117—44no—
875#117—48no—
876#117—82no—
877#117—82no—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2412yes—
913C2×C22⋊C4—28no—
914C2×C22⋊C4—28no—
915C2×C22⋊C4—48no—
916C2×C22⋊C4C2412yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2411yescharacteristic
961C2×C22⋊C4C2411yescharacteristic
962C2×C22⋊C4C2411yescharacteristic
963C2×C22⋊C4C2411yescharacteristic
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C42—44no—
985C2×C42—44no—
986C2×C42—82no—
987C2×C42—82no—
988C2×C42#4118yescomplemented
989C2×C42C2412yes—
990C2×C42C2412yes—
991C2×C42C2414yes—
992C2×C42C2412yes—
993C2×C42C2412yes—
994C2×C42C2412yes—
995C2×C42C2411yescharacteristic
996C2×C42C2411yescharacteristic
997C2×C42C2412yes—
998C2×C42C2412yes—
999C2×C42C2414yes—
1000C2×C42C2412yes—
1001C2×C42C2412yes—
1002C2×C42C2414yes—
1003C2×C42C2414yes—
1004C2×C42C2414yes—
1005C2×C42C2412yes—
1006C2×C42C2412yes—
1007C2×C42C2412yes—
1008C2×C42C2414yes—
1009C2×C42C2412yes—
1010C2×C42C2411yescharacteristic
1011C2×C42C2411yescharacteristic
1012C2×C42C2412yes—
1013C2×C42C2411yescharacteristic
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017#95C2412yes—
1018#95C2412yes—
1019#95C2412yes—
1020#95C2414yes—
1021#95C2412yes—
1022#95C2412yes—
1023#95C2414yes—
1024#95C2412yes—
1025#95C2412yes—
1026#95C2412yes—
1027#95C2414yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2414yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2412yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2414yes—
1052#95C2412yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067C24—24no—
1068C24—44no—
1069C24—44no—
1070C24—42no—
1071C24—42no—
1072C24C2514yes—
1073C24C2512yes—
1074C24C2512yes—
1075C24C2512yes—
1076C24C2512yes—
1077C24C2511yescharacteristic
1078#41—816no—
1079#41—816no—
1080#41—832no—
1081C2×Q8—24no—
1082C2×Q8—24no—
1083C2×Q8—24no—
1084C2×Q8—24no—
1085C2×Q8—24no—
1086C2×Q8—24no—
1087C2×Q8—28no—
1088C2×Q8—42no—
1089C2×Q8—44no—
1090C2×Q8—44no—
1091C2×Q8—42no—
1092C2×Q8—42no—
1093C2×Q8—42no—
1094C2×Q8—44no—
1095C2×Q8—88no—
1096C2×D4—24no—
1097C2×D4—24no—
1098C2×D4—24no—
1099C2×D4—24no—
1100C2×D4—24no—
1101C2×D4—24no—
1102C2×D4—22no—
1103C2×D4—22no—
1104C2×D4—24no—
1105C2×D4—22no—
1106C2×D4—22no—
1107C2×D4—24no—
1108C2×D4—24no—
1109C2×D4—24no—
1110C2×D4—24no—
1111C2×D4—24no—
1112C2×D4—24no—
1113C2×D4—24no—
1114C2×D4—28no—
1115C2×D4—28no—
1116C2×D4—42no—
1117C2×D4—42no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—44no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—44no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—41no—
1142C2×D4—41no—
1143C2×D4—42no—
1144C2×D4—41no—
1145C2×D4—41no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—88no—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—24no—
1176C22×C4—24no—
1177C22×C4—24no—
1178C22×C4—24no—
1179C22×C4—28no—
1180C22×C4—24no—
1181C22×C4—24no—
1182C22×C4—28no—
1183C22×C4—24no—
1184C22×C4—28no—
1185C22×C4—28no—
1186C22×C4—24no—
1187C22×C4—42no—
1188C22×C4—42no—
1189C22×C4—42no—
1190C22×C4—44no—
1191C22×C4—42no—
1192C22×C4—42no—
1193C22×C4—42no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—44no—
1207C22×C4—42no—
1208C22×C4—44no—
1209C22×C4—42no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4C2×#4114yes—
1214C22×C4C2×#4114yes—
1215C22×C4C2×#4114yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2514yes—
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2514yes—
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2514yes—
1228C22×C4C2514yes—
1229C22×C4C2512yes—
1230C22×C4C2512yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C22×C4C2514yes—
1237C22×C4C2512yes—
1238C22×C4C2511yescharacteristic
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—22no—
1242C4⋊C4—22no—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—24no—
1246C4⋊C4—28no—
1247C4⋊C4—28no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—28no—
1251C4⋊C4—28no—
1252C4⋊C4—28no—
1253C4⋊C4—24no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—42no—
1257C4⋊C4—42no—
1258C4⋊C4—42no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4H(5,𝔽2)18yes—
1274C22⋊C4—28no—
1275C22⋊C4—28no—
1276C22⋊C4—28no—
1277C22⋊C4—28no—
1278C22⋊C4—24no—
1279C22⋊C4—24no—
1280C22⋊C4—24no—
1281C22⋊C4—24no—
1282C22⋊C4—24no—
1283C22⋊C4—24no—
1284C22⋊C4—24no—
1285C22⋊C4—24no—
1286C22⋊C4—28no—
1287C22⋊C4—28no—
1288C22⋊C4—28no—
1289C22⋊C4—28no—
1290C22⋊C4—28no—
1291C22⋊C4—28no—
1292C22⋊C4—28no—
1293C22⋊C4—24no—
1294C22⋊C4—28no—
1295C22⋊C4—28no—
1296C22⋊C4—24no—
1297C22⋊C4—24no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—42no—
1301C22⋊C4—42no—
1302C22⋊C4—42no—
1303C22⋊C4—44no—
1304C22⋊C4—42no—
1305C22⋊C4—44no—
1306C22⋊C4—42no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—42no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—42no—
1341C22⋊C4—44no—
1342C42—24no—
1343C42—24no—
1344C42—24no—
1345C42—28no—
1346C42—24no—
1347C42—24no—
1348C42—42no—
1349C42—42no—
1350C42—42no—
1351C42—42no—
1352C42—42no—
1353C42—41no—
1354C42—41no—
1355C42—44no—
1356C42—44no—
1357C42—42no—
1358C42—44no—
1359C42—41no—
1360C42—41no—
1361C42—42no—
1362C42—44no—
1363C42—44no—
1364C42—42no—
1365C42—42no—
1366C42C2×#4114yes—
1367C42C2×#4114yes—
1368C42C2×#4114yes—
1369C42C2×#4114yes—
1370C23—22no—
1371C23—22no—
1372C23—21no—
1373C23—21no—
1374C23—24no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—24no—
1382C23—24no—
1383C23—24no—
1384C23—24no—
1385C23—22no—
1386C23—22no—
1387C23—24no—
1388C23—24no—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23—24no—
1393C23—22no—
1394C23—24no—
1395C23—22no—
1396C23—22no—
1397C23—24no—
1398C23—24no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—48no—
1406C23—84no—
1407C23—84no—
1408C23—164no—
1409C23—164no—
1410C23C22×#4112yes—
1411C23C2611yescharacteristic
1412Q8—48no—
1413Q8—84no—
1414Q8—84no—
1415Q8—84no—
1416Q8—88no—
1417D4—48no—
1418D4—48no—
1419D4—44no—
1420D4—44no—
1421D4—48no—
1422D4—82no—
1423D4—82no—
1424D4—88no—
1425D4—84no—
1426D4—84no—
1427D4—84no—
1428D4—88no—
1429D4—84no—
1430D4—84no—
1431D4—84no—
1432D4—84no—
1433D4—88no—
1434D4—88no—
1435D4—88no—
1436D4—88no—
1437D4—164no—
1438D4—164no—
1439D4—164no—
1440D4—164no—
1441D4—164no—
1442D4—164no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—24no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—24no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—28no—
1455C2×C4—24no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—24no—
1471C2×C4—24no—
1472C2×C4—24no—
1473C2×C4—24no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—24no—
1479C2×C4—22no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—24no—
1492C2×C4—24no—
1493C2×C4—24no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—44no—
1501C2×C4—44no—
1502C2×C4—416no—
1503C2×C4—48no—
1504C2×C4—48no—
1505C2×C4—48no—
1506C2×C4—48no—
1507C2×C4—48no—
1508C2×C4—84no—
1509C2×C4—88no—
1510C2×C4—88no—
1511C2×C4—84no—
1512C2×C4—84no—
1513C2×C4—84no—
1514C2×C4—164no—
1515C2×C4C22×#4112yes—
1516C2×C4C22×#4112yes—
1517C2×C4C22×#4112yes—
1518C2×C4C22×#4112yes—
1519C2×C4C22×#4112yes—
1520C2×C4C22×#4112yes—
1521C2×C4C2×H(5,𝔽2)18yes—
1522C2×C4C2×H(5,𝔽2)14yes—
1523C2×C4#58514yes—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—42no—
1528C22—42no—
1529C22—42no—
1530C22—42no—
1531C22—44no—
1532C22—42no—
1533C22—42no—
1534C22—42no—
1535C22—42no—
1536C22—42no—
1537C22—42no—
1538C22—44no—
1539C22—42no—
1540C22—44no—
1541C22—44no—
1542C22—44no—
1543C22—42no—
1544C22—42no—
1545C22—44no—
1546C22—42no—
1547C22—42no—
1548C22—42no—
1549C22—44no—
1550C22—44no—
1551C22—44no—
1552C22—42no—
1553C22—44no—
1554C22—42no—
1555C22—42no—
1556C22—42no—
1557C22—42no—
1558C22—42no—
1559C22—44no—
1560C22—168no—
1561C22C23×#4111yescharacteristic
1562C22C22×H(5,𝔽2)12yes—
1563C22C2×#58512yes—
1564C22H(7,𝔽2)11yescharacteristic
1565C22H(7,𝔽2)11yescharacteristic
1566C4—22no—
1567C4—22no—
1568C4—22no—
1569C4—24no—
1570C4—28no—
1571C4—22no—
1572C4—22no—
1573C4—42no—
1574C4—42no—
1575C4—44no—
1576C4—42no—
1577C4—42no—
1578C4—42no—
1579C4—42no—
1580C4—44no—
1581C4—42no—
1582C4—42no—
1583C4—42no—
1584C4—42no—
1585C4—42no—
1586C4—44no—
1587C4—44no—
1588C4#350814yes—
1589C2—42no—
1590C2—82no—
1591C2—82no—
1592C2—82no—
1593C2—82no—
1594C2—84no—
1595C2#6268611yescharacteristic
1596C2C2×#350811yescharacteristic
1597C2#6285511yescharacteristic
1598C2#6291812yes—
1599C2#6292312yes—
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. #42074C2semidirect
2. #42071C2semidirect
3. #42061C2semidirect
4. #42057C2semidirect
5. #39439C2semidirect
6. #39434C2semidirect
7. #39272C2semidirect
8. #39268C2semidirect
9. #37787C2semidirect
10. #37782C2semidirect
11. #37775C2semidirect
12. #37772C2semidirect
13. #37618C2semidirect
14. #37570C2semidirect
15. #37536C2semidirect
16. #37202C2semidirect
17. #36818C2semidirect
18. #36812C2semidirect
19. #35438C2semidirect
20. #35422C2semidirect
21. #35329C2semidirect
22. #35213C2semidirect
23. #35169C2semidirect
24. #35109C2semidirect
25. #35044C2semidirect
26. #34889C2semidirect
27. #34240C2semidirect
28. #34155C2semidirect
29. #34086C2semidirect
30. C2×#542C22semidirect
37. C2×#529C22semidirect
39. #2863C22semidirect
42. #2855C22semidirect
44. #2854C22semidirect
45. #2850C22semidirect
46. #2850C22semidirect
47. #2837C22semidirect
48. #2828C22semidirect
51. #2808C22semidirect
52. #2798C22semidirect
53. #2796C22semidirect
54. #2796C22semidirect
55. #2754C22semidirect
56. #2733C22semidirect
57. #2730C22semidirect
58. #2724C22semidirect
59. #2716C22semidirect
60. #2716C22semidirect
61. #2714C22semidirect
62. #2714C22semidirect
64. #2712C22semidirect
65. #2712C22semidirect
67. #2710C22semidirect
68. #2710C22semidirect
71. #2705C22semidirect
74. #2682C22semidirect
79. #2673C22semidirect
80. #2673C22semidirect
85. #2663C22semidirect
86. #2661C22semidirect
87. #2661C22semidirect
91. #2657C22semidirect
92. #2651C22semidirect
93. #2649C22semidirect
94. #2648C22semidirect
95. #2648C22semidirect
97. #2640C22semidirect
98. #2635C22semidirect
100. #2631C22semidirect
101. #2625C22semidirect
103. #2620C22semidirect
109. #2612C22semidirect
112. #2607C22semidirect
113. #2597C22semidirect
114. #2597C22semidirect
115. #2589C22semidirect
116. #2570C22semidirect
117. #2559C22semidirect
118. #2559C22semidirect
121. #2557C22semidirect
122. #2557C22semidirect
123. #2557C22semidirect
124. #2557C22semidirect
125. #2555C22semidirect
127. #2553C22semidirect
128. #2550C22semidirect
129. #2547C22semidirect
130. #2547C22semidirect
133. #2541C22semidirect
134. #2541C22semidirect
143. #2535C22semidirect
144. #2535C22semidirect
145. #2521C22semidirect
146. #2516C22semidirect
147. #2513C22semidirect
148. #2492C22semidirect
149. #2492C22semidirect
152. #2489C22semidirect
153. #2476C22semidirect
154. #2476C22semidirect
156. #2471C22semidirect
157. #2471C22semidirect
158. #2471C22semidirect
159. #2467C22semidirect
160. #2464C22semidirect
161. #2464C22semidirect
163. #2459C22semidirect
164. #2459C22semidirect
166. #2456C22semidirect
167. #2456C22semidirect
168. #2447C22semidirect
171. #2439C22semidirect
179. #2431C22semidirect
185. #2428C22semidirect
186. #2427C22semidirect
187. #2427C22semidirect
188. #2426C22semidirect
189. #2426C22semidirect
192. #2423C22semidirect
194. #2421C22semidirect
196. #2414C22semidirect
197. #2407C22semidirect
201. #2395C22semidirect
202. #2388C22semidirect
204. #2372C22semidirect
205. #2369C22semidirect
208. #2366C22semidirect
217. #2337C22semidirect
218. #2337C22semidirect
223. #2333C22semidirect
224. #2333C22semidirect
225. #2331C22semidirect
226. #2331C22semidirect
227. #2330C22semidirect
228. #2328C22semidirect
232. #2323C22semidirect
236. C4×C22⋊Q8C22semidirect
238. C4×#121C22semidirect
243. #2297C22semidirect
244. #2293C22semidirect
245. #2293C22semidirect
246. #2293C22semidirect
247. #2293C22semidirect
248. #2290C22semidirect
249. #2290C22semidirect
253. C42×D4C22semidirect
254. C42×D4C22semidirect
255. C42×D4C22semidirect
256. C42×D4C22semidirect
988. C2×C42#41semidirect

Maximal subgroups

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

subgroupindex
#420742
#420712
#420612
#420572
#394392
#394342
#392722
#392682
#377872
#377822
#377752
#377722
#376182
#375702
#375362
#372022
#368182
#368122
#354382
#354222
#353292
#352132
#351692
#351092
#350442
#348892
#342402
#341552
#340862