Finite Group Databasebeta

← #7695086

Subgroups — #7695086

Order 512.

5293 conjugacy classes of subgroups.

The subgroup lattice has 1578 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60044C212yesmaximal, complemented
2#60009C214yesmaximal, complemented
3#59863C211yesmaximal, characteristic, complemented
4#59204C212yesmaximal, complemented
5#52278C212yesmaximal, complemented
6#52103C211yesmaximal, characteristic, complemented
7#45126C212yesmaximal, complemented
8#44907C212yesmaximal, complemented
9#44907C212yesmaximal, complemented
10#44687C214yesmaximal, complemented
11#44282C214yesmaximal, complemented
12#43392C214yesmaximal, complemented
13#40410C214yesmaximal, complemented
14#40392C214yesmaximal, complemented
15#39493C211yesmaximal, characteristic, complemented
16#39493C211yesmaximal, characteristic, complemented
17#38763C212yesmaximal, complemented
18#38760C212yesmaximal, complemented
19#37845C212yesmaximal, complemented
20#37839C212yesmaximal, complemented
21#36415C211yesmaximal, characteristic, complemented
22#36235C212yesmaximal, complemented
23#35833C212yesmaximal, complemented
24#35770C212yesmaximal, complemented
25#35682C212yesmaximal, complemented
26#34321C211yesmaximal, characteristic, complemented
27#34316C211yesmaximal, characteristic, complemented
28#34202C212yesmaximal, complemented
29#34201C212yesmaximal, complemented
30C2×#555C2211yescharacteristic
31C2×#555C2211yescharacteristic
32C2×#547C2211yescharacteristic
33C2×#547C2211yescharacteristic, complemented
34C2×#525C2212yes—
35C2×#525C2212yes—
36C2×#520C2212yes—
37C22×#117C2212yescomplemented
38#2862C2211yescharacteristic, complemented
39#2850C2212yes—
40#2850C2214yes—
41#2847C2212yescomplemented
42#2808C2212yes—
43#2808C2212yescomplemented
44#2806C2212yescomplemented
45#2806C2212yescomplemented
46#2805C2212yescomplemented
47#2805C2212yescomplemented
48#2804C2212yes—
49#2804C2212yes—
50#2803C2214yescomplemented
51#2803C2214yescomplemented
52#2797C2214yescomplemented
53#2779C2214yescomplemented
54#2779C2214yescomplemented
55#2778C2214yes—
56#2778C2214yescomplemented
57#2759C2214yescomplemented
58#2745C2214yescomplemented
59#2740C2214yes—
60#2737C2214yescomplemented
61#2732C2212yes—
62#2732C2212yes—
63#2714C2214yes—
64#2714C2214yes—
65#2706C2214yes—
66#2703C2214yes—
67#2700C2214yescomplemented
68#2696C2214yes—
69#2696C2214yescomplemented
70#2692C2214yescomplemented
71#2688C2214yes—
72#2683C2211yescharacteristic
73#2682C2211yescharacteristic
74#2682C2211yescharacteristic
75#2681C2212yes—
76#2681C2212yes—
77#2680C2212yes—
78#2679C2211yescharacteristic
79#2678C2212yes—
80#2678C2212yes—
81#2670C2214yescomplemented
82#2669C2212yes—
83#2668C2214yes—
84#2654C2214yescomplemented
85#2653C2214yes—
86#2630C2214yescomplemented
87#2628C2212yescomplemented
88#2628C2212yescomplemented
89#2615C2212yes—
90#2610C2214yes—
91#2609C2214yescomplemented
92#2602C2214yescomplemented
93#2601C2214yescomplemented
94#2601C2214yescomplemented
95#2597C2214yescomplemented
96#2597C2214yescomplemented
97#2595C2214yescomplemented
98#2594C2214yescomplemented
99#2594C2214yescomplemented
100#2592C2214yescomplemented
101#2589C2214yescomplemented
102#2589C2214yescomplemented
103#2577C2214yescomplemented
104#2576C2214yes—
105#2574C2214yescomplemented
106#2570C2212yescomplemented
107#2570C2212yescomplemented
108#2563C2211yescharacteristic, complemented
109#2563C2212yescomplemented
110#2560C2214yescomplemented
111#2557C2214yes—
112#2557C2214yes—
113#2557C2214yescomplemented
114#2557C2214yescomplemented
115#2555C2214yes—
116#2554C2214yescomplemented
117#2553C2214yescomplemented
118#2548C2212yes—
119#2547C2211yescharacteristic
120#2547C2212yescomplemented
121#2539C2214yescomplemented
122#2535C2212yescomplemented
123#2535C2212yescomplemented
124#2528C2214yescomplemented
125#2527C2214yescomplemented
126#2521C2214yes—
127#2521C2214yescomplemented
128#2520C2214yescomplemented
129#2520C2214yescomplemented
130#2517C2214yescomplemented
131#2516C2214yes—
132#2513C2214yescomplemented
133#2510C2214yes—
134#2500C2212yescomplemented
135#2500C2212yescomplemented
136#2499C2212yescomplemented
137#2496C2212yescomplemented
138#2496C2212yescomplemented
139#2494C2212yescomplemented
140#2494C2212yescomplemented
141#2488C2214yescomplemented
142#2487C2212yes—
143#2486C2212yescomplemented
144#2485C2212yes—
145#2485C2212yes—
146#2485C2212yescomplemented
147#2485C2212yescomplemented
148#2480C2214yescomplemented
149#2477C2214yescomplemented
150#2476C2214yes—
151#2476C2214yes—
152#2476C2214yescomplemented
153#2474C2214yescomplemented
154#2472C2214yes—
155#2472C2214yescomplemented
156#2471C2214yescomplemented
157#2469C2214yescomplemented
158#2467C2214yes—
159#2465C2214yescomplemented
160#2465C2214yescomplemented
161#2465C2214yescomplemented
162#2463C2214yes—
163#2458C2214yescomplemented
164#2456C2214yes—
165#2440C2212yescomplemented
166#2440C2212yescomplemented
167#2439C2212yescomplemented
168#2439C2212yescomplemented
169#2431C2212yes—
170#2430C2214yes—
171#2424C2214yes—
172#2416C2212yes—
173#2416C2212yescomplemented
174#2414C2212yes—
175#2414C2212yescomplemented
176#2407C2214yescomplemented
177#2404C2214yes—
178#2401C2214yescomplemented
179#2398C2214yescomplemented
180#2392C2212yes—
181#2392C2212yes—
182#2388C2212yes—
183#2388C2214yescomplemented
184#2374C2214yescomplemented
185#2369C2211yescharacteristic, complemented
186#2368C2214yescomplemented
187#2367C2214yescomplemented
188#2365C2211yescharacteristic, complemented
189#2363C2212yes—
190#2363C2214yes—
191#2363C2214yes—
192#2363C2212yescomplemented
193#2362C2212yescomplemented
194#2362C2214yescomplemented
195#2362C2214yescomplemented
196#2361C2212yescomplemented
197#2359C2214yes—
198#2359C2214yescomplemented
199#2358C2214yes—
200#2358C2214yescomplemented
201#2355C2212yescomplemented
202#2354C2211yescharacteristic
203#2354C2212yes—
204#2354C2212yes—
205#2354C2211yescharacteristic, complemented
206#2354C2211yescharacteristic, complemented
207#2354C2212yescomplemented
208#2354C2212yescomplemented
209#2354C2212yescomplemented
210#2352C2212yes—
211#2352C2212yes—
212#2352C2212yes—
213#2352C2212yes—
214#2352C2212yescomplemented
215#2352C2212yescomplemented
216#2352C2212yescomplemented
217#2352C2212yescomplemented
218D4×C4⋊C4C2211yescharacteristic
219D4×C4⋊C4C2212yescomplemented
220#2347C2212yescomplemented
221#2347C2212yescomplemented
222#2346C2212yescomplemented
223#2345C2212yescomplemented
224#2345C2212yescomplemented
225#2341C2212yes—
226#2337C2214yescomplemented
227#2335C2214yescomplemented
228#2324C2214yes—
229#2324C2212yescomplemented
230#2324C2212yescomplemented
231#2323C2214yescomplemented
232#2321C2214yes—
233#2321C2214yescomplemented
234#2317C2212yescomplemented
235#2317C2212yescomplemented
236#2311C2212yes—
237#2311C2212yes—
238C4×C4⋊Q8C2211yescharacteristic, complemented
239C4×C4⋊Q8C2211yescharacteristic, complemented
240C4×#127C2211yescharacteristic
241C4×C22⋊Q8C2212yescomplemented
242C4×C22⋊Q8C2214yescomplemented
243C4×#123C2214yes—
244C4×#123C2214yescomplemented
245C4×#121C2212yes—
246C4×#121C2214yes—
247C4×#120C2212yes—
248#2297C2212yes—
249#2297C2212yescomplemented
250#2296C2212yescomplemented
251#2293C2211yescharacteristic
252#2293C2211yescharacteristic
253#2290C2214yescomplemented
254#2280C2212yescomplemented
255C2×#380C2212yescomplemented
256#2274C2212yescomplemented
257#2274C2212yescomplemented
258C42×D4C2211yescharacteristic, complemented
259C22×#41C2312yes—
260C22×#41C2312yes—
261C22×#41C2312yes—
262C24×C4C2312yes—
263#555—28no—
264#555—44no—
265#547—28no—
266#547—44no—
267C2×C4⋊Q8C2311yescharacteristic
268C2×C4⋊Q8C2311yescharacteristic
269C2×C4⋊Q8C2311yescharacteristic
270C2×C4⋊Q8C2311yescharacteristic
271C2×#127C2311yescharacteristic
272C2×#126C2314yes—
273C2×#126C2314yes—
274C2×#124C2314yes—
275C2×#124C2314yes—
276C2×#124C2314yes—
277C2×#124C2312yes—
278#525—216no—
279#525—216no—
280C2×#123C2314yes—
281C2×#123C2312yes—
282C2×#123C2312yes—
283C2×#123C2312yes—
284C2×#123C2312yes—
285C2×#123C2314yes—
286C2×#123C2314yes—
287C2×C22⋊Q8C2312yes—
288C2×C22⋊Q8C2312yes—
289C2×C22⋊Q8C2312yes—
290C2×C22⋊Q8C2312yes—
291C2×C22⋊Q8C2312yes—
292C2×C22⋊Q8C2312yes—
293C2×C22⋊Q8C2314yes—
294C2×C22⋊Q8C2314yes—
295C2×#121C2312yes—
296C2×#121C2312yes—
297C2×#121C2312yes—
298C2×#121C2312yes—
299C2×#121C2312yes—
300C2×#121C2312yes—
301C2×#121C2312yes—
302C2×#121C2312yes—
303C2×#121C2312yes—
304C2×#121C2312yes—
305C2×#121C2314yes—
306C2×#121C2314yes—
307C2×#120C2312yes—
308C2×#120C2312yes—
309C2×#120C2312yes—
310C2×#120C2312yes—
311C2×#120C2312yes—
312C2×#120C2314yes—
313#520—48no—
314C2×C4×Q8C2312yes—
315C2×C4×Q8C2314yes—
316C2×C4×Q8C2312yes—
317C2×C4×Q8C2312yes—
318C2×C4×D4C2312yes—
319C2×C4×D4C2312yes—
320C2×C4×D4C2311yescharacteristic
321C2×C4×D4C2311yescharacteristic
322C2×C4×D4C2312yes—
323C2×C4×D4C2312yes—
324C2×C4×D4C2312yes—
325C2×C4×D4C2312yes—
326C2×C4×D4C2311yescharacteristic
327C2×C4×D4C2311yescharacteristic
328C2×C4×D4C2311yescharacteristic
329C2×C4×D4C2314yes—
330C2×C4×D4C2314yes—
331C2×C4×D4C2314yes—
332C2×C4×D4C2314yes—
333C2×C4×D4C2312yes—
334C2×C4×D4C2314yes—
335C2×C4×D4C2311yescharacteristic
336C2×C4×D4C2311yescharacteristic
337C2×#117—48no—
338C2×#117C2312yes—
339C2×#117C2312yes—
340C2×#117C2312yes—
341C2×#117C2312yes—
342C2×#117C2312yes—
343C2×#117C2312yes—
344C2×#117C2312yes—
345C2×#117C2312yes—
346C2×#117C2314yes—
347C2×#117C2312yes—
348C2×#117C2312yes—
349C2×#117C2312yes—
350C2×#117C2314yes—
351C2×#117C2312yes—
352C2×#117C2312yes—
353C22×C4⋊C4C2312yes—
354C22×C4⋊C4C2312yes—
355C22×C4⋊C4C2312yes—
356C22×C4⋊C4C2312yes—
357C22×C4⋊C4C2312yes—
358C22×C22⋊C4C2314yes—
359C22×C22⋊C4C2314yes—
360C22×C42C2314yes—
361C22×C42C2312yes—
362#401C2314yes—
363#401C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#399C2314yes—
372#399C2314yes—
373#399C2314yes—
374#398C2314yes—
375#398C2314yes—
376#398C2314yes—
377#398C2314yes—
378#398C2314yes—
379#398C2312yes—
380#398C2312yes—
381#397C2314yes—
382#397C2314yes—
383#397C2314yes—
384#397C2314yes—
385#397C2314yes—
386#397C2314yes—
387#397C2314yes—
388#397C2314yes—
389#397C2312yes—
390#397C2312yes—
391#397C2314yes—
392#397C2314yes—
393#397C2314yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#396C2312yes—
398#396C2314yes—
399#396C2314yes—
400#396C2314yes—
401#396C2312yes—
402#396C2314yes—
403#396C2312yes—
404#396C2312yes—
405#395C2314yes—
406#395C2314yes—
407#395C2314yes—
408#395C2312yes—
409#395C2314yes—
410#394C2312yes—
411#394C2312yes—
412#394C2312yes—
413#394C2314yes—
414#394C2314yes—
415#394C2314yes—
416#394C2314yes—
417#394C2312yes—
418#394C2314yes—
419#394C2314yes—
420#394C2314yes—
421#394C2314yes—
422#394C2312yes—
423#394C2312yes—
424#394C2312yes—
425#394C2312yes—
426#394C2312yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#393C2314yes—
432#393C2314yes—
433#393C2314yes—
434#393C2314yes—
435#393C2314yes—
436#393C2314yes—
437#393C2314yes—
438#393C2314yes—
439#393C2312yes—
440#392C2314yes—
441#392C2314yes—
442#392C2314yes—
443#392C2314yes—
444#392C2312yes—
445#392C2312yes—
446#392C2312yes—
447#392C2314yes—
448#392C2312yes—
449#392C2312yes—
450#392C2314yes—
451#392C2314yes—
452#391C2314yes—
453#391C2312yes—
454#391C2312yes—
455#391C2314yes—
456#391C2314yes—
457#391C2312yes—
458#391C2312yes—
459#391C2312yes—
460#391C2314yes—
461#391C2314yes—
462#391C2314yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#390C2314yes—
467#390C2312yes—
468#390C2311yescharacteristic
469#390C2312yes—
470#390C2311yescharacteristic
471#390C2314yes—
472#390C2312yes—
473#390C2314yes—
474#390C2312yes—
475#390C2314yes—
476#390C2314yes—
477#390C2314yes—
478#390C2314yes—
479#390C2314yes—
480#390C2314yes—
481#390C2314yes—
482#390C2312yes—
483#390C2312yes—
484#390C2314yes—
485#390C2314yes—
486#390C2311yescharacteristic
487#390C2314yes—
488#390C2311yescharacteristic
489#390C2311yescharacteristic
490#390C2311yescharacteristic
491#389C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2314yes—
500#389C2314yes—
501#389C2314yes—
502#389C2314yes—
503#389C2312yes—
504#389C2314yes—
505#389C2312yes—
506#389C2312yes—
507#389C2311yescharacteristic
508#389C2311yescharacteristic
509#389C2312yes—
510#389C2311yescharacteristic
511#389C2311yescharacteristic
512#388C2314yes—
513#388C2314yes—
514#388C2314yes—
515#388C2314yes—
516#388C2314yes—
517#388C2314yes—
518#388C2314yes—
519#388C2314yes—
520#388C2314yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2312yes—
536#388C2312yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2312yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2312yes—
557#387C2314yes—
558#387C2314yes—
559#387C2314yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2312yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2312yes—
610#386C2314yes—
611#386C2312yes—
612#386C2314yes—
613#385C2314yes—
614#385C2314yes—
615#385C2314yes—
616#385C2314yes—
617#385C2314yes—
618#385C2314yes—
619#385C2312yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2312yes—
626#385C2314yes—
627#385C2314yes—
628#385C2312yes—
629#384C2311yescharacteristic
630#384C2311yescharacteristic
631#384C2311yescharacteristic
632#384C2312yes—
633#384C2312yes—
634#383C2314yes—
635#382C2312yes—
636#382C2314yes—
637#382C2312yes—
638#382C2312yes—
639#382C2312yes—
640#382C2312yes—
641#382C2314yes—
642#381C2314yes—
643#381C2314yes—
644#380C2312yes—
645#380C2312yes—
646#380C2312yes—
647#380C2312yes—
648#380C2312yes—
649#380C2312yes—
650#380C2312yes—
651#380C2312yes—
652#380C2312yes—
653#380C2312yes—
654#380C2312yes—
655#380C2314yes—
656#380C2314yes—
657#380C2314yes—
658#380C2312yes—
659#380C2312yes—
660#380C2312yes—
661#380C2312yes—
662#380C2312yes—
663#380C2312yes—
664#380C2312yes—
665#380C2314yes—
666#379C2314yes—
667#379C2312yes—
668C4×C4⋊C4C2314yes—
669C4×C4⋊C4C2312yes—
670C4×C4⋊C4C2312yes—
671C4×C4⋊C4C2312yes—
672C4×C4⋊C4C2312yes—
673C4×C4⋊C4C2311yescharacteristic
674C4×C4⋊C4C2311yescharacteristic
675C4×C4⋊C4C2311yescharacteristic
676C4×C4⋊C4C2314yes—
677C4×C4⋊C4C2314yes—
678C4×C4⋊C4C2314yes—
679C4×C4⋊C4C2314yes—
680C4×C4⋊C4C2314yes—
681C4×C4⋊C4C2314yes—
682C4×C4⋊C4C2314yes—
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2314yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2311yescharacteristic
690C4×C4⋊C4C2311yescharacteristic
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2314yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2312yes—
717#376C2314yes—
718C2×#95C2314yes—
719C43C2311yescharacteristic
720C25C2412yes—
721C2×#41—28no—
722C2×#41—28no—
723C2×#41—28no—
724C2×#41—44no—
725C2×#41—44no—
726C2×#41—44no—
727C2×#41—82no—
728C2×#41—82no—
729C2×#41—82no—
730C22×Q8C2412yes—
731C22×Q8C2412yes—
732C22×Q8C2412yes—
733C22×Q8C2412yes—
734C22×Q8C2412yes—
735C22×D4C2411yescharacteristic
736C22×D4C2412yes—
737C22×D4C2412yes—
738C22×D4C2412yes—
739C22×D4C2412yes—
740C22×D4C2412yes—
741C22×D4C2411yescharacteristic
742C22×D4C2412yes—
743C22×D4C2412yes—
744C22×D4C2414yes—
745C22×D4C2412yes—
746C22×D4C2412yes—
747C22×D4C2411yescharacteristic
748C22×D4C2414yes—
749C22×D4C2414yes—
750C22×D4C2414yes—
751C22×D4C2411yescharacteristic
752C22×D4C2411yescharacteristic
753C23×C4—28no—
754C23×C4—28no—
755C23×C4—44no—
756C23×C4C2412yes—
757C23×C4C2412yes—
758C23×C4C2412yes—
759C23×C4C2412yes—
760C23×C4C2412yes—
761C23×C4C2412yes—
762C23×C4C2412yes—
763C23×C4C2412yes—
764C23×C4C2414yes—
765C23×C4C2414yes—
766C23×C4C2414yes—
767C23×C4C2412yes—
768C23×C4C2412yes—
769C23×C4C2414yes—
770C23×C4C2414yes—
771C4⋊Q8—24no—
772C4⋊Q8—24no—
773C4⋊Q8—42no—
774C4⋊Q8—42no—
775#127—42no—
776#126—84no—
777#126—84no—
778#124—216no—
779#124—48no—
780#124—82no—
781#124—84no—
782#123—28no—
783#123—28no—
784#123—28no—
785#123—28no—
786#123—216no—
787#123—48no—
788#123—84no—
789C22⋊Q8—28no—
790C22⋊Q8—28no—
791C22⋊Q8—28no—
792C22⋊Q8—28no—
793C22⋊Q8—28no—
794C22⋊Q8—48no—
795C22⋊Q8—44no—
796C22⋊Q8—84no—
797#121—28no—
798#121—28no—
799#121—28no—
800#121—28no—
801#121—28no—
802#121—28no—
803#121—28no—
804#121—44no—
805#121—44no—
806#121—44no—
807#121—84no—
808#121—84no—
809#120—28no—
810#120—28no—
811#120—28no—
812#120—28no—
813#120—44no—
814#120—84no—
815C4×Q8—44no—
816C4×Q8—48no—
817C4×Q8—82no—
818C4×Q8—82no—
819C4×D4—28no—
820C4×D4—28no—
821C4×D4—28no—
822C4×D4—28no—
823C4×D4—24no—
824C4×D4—28no—
825C4×D4—28no—
826C4×D4—24no—
827C4×D4—24no—
828C4×D4—48no—
829C4×D4—42no—
830C4×D4—42no—
831C4×D4—48no—
832C4×D4—48no—
833C4×D4—48no—
834C4×D4—82no—
835C4×D4—84no—
836C4×D4#4118yescomplemented
837C4×D4#4118yescomplemented
838#117—28no—
839#117—28no—
840#117—28no—
841#117—28no—
842#117—28no—
843#117—28no—
844#117—44no—
845#117—48no—
846#117—48no—
847#117—44no—
848#117—44no—
849#117—44no—
850#117—44no—
851#117—82no—
852#117—82no—
853C2×C4⋊C4—28no—
854C2×C4⋊C4—28no—
855C2×C4⋊C4—28no—
856C2×C4⋊C4—44no—
857C2×C4⋊C4—44no—
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2411yescharacteristic
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2412yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2411yescharacteristic
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C22⋊C4—48no—
911C2×C22⋊C4—84no—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2412yes—
915C2×C22⋊C4C2412yes—
916C2×C22⋊C4C2412yes—
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2412yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C42—48no—
975C2×C42—82no—
976C2×C42C2414yes—
977C2×C42C2414yes—
978C2×C42C2414yes—
979C2×C42C2412yes—
980C2×C42C2412yes—
981C2×C42C2411yescharacteristic
982C2×C42C2411yescharacteristic
983C2×C42C2414yes—
984C2×C42C2414yes—
985C2×C42C2414yes—
986C2×C42C2414yes—
987C2×C42C2414yes—
988C2×C42C2414yes—
989C2×C42C2414yes—
990C2×C42C2414yes—
991C2×C42C2412yes—
992C2×C42C2411yescharacteristic
993C2×C42C2414yes—
994C2×C42C2412yes—
995C2×C42C2414yes—
996C2×C42C2412yes—
997C2×C42C2411yescharacteristic
998C2×C42C2411yescharacteristic
999C2×C42C2411yescharacteristic
1000C2×C42C2411yescharacteristic
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2412yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2412yes—
1010#95C2412yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2412yes—
1014#95C2412yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2412yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2412yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2414yes—
1052C24—24no—
1053C24—24no—
1054C24—42no—
1055C24—42no—
1056C24—42no—
1057C24—42no—
1058C24—42no—
1059C24C2512yes—
1060C24C2512yes—
1061C24C2512yes—
1062C24C2512yes—
1063C24C2512yes—
1064#41—432no—
1065#41—816no—
1066#41—816no—
1067C2×Q8—24no—
1068C2×Q8—24no—
1069C2×Q8—24no—
1070C2×Q8—24no—
1071C2×Q8—24no—
1072C2×Q8—42no—
1073C2×Q8—42no—
1074C2×Q8—42no—
1075C2×Q8—42no—
1076C2×Q8—42no—
1077C2×Q8—42no—
1078C2×Q8—42no—
1079C2×Q8—42no—
1080C2×Q8—42no—
1081C2×Q8—42no—
1082C2×D4—24no—
1083C2×D4—24no—
1084C2×D4—24no—
1085C2×D4—24no—
1086C2×D4—24no—
1087C2×D4—24no—
1088C2×D4—24no—
1089C2×D4—24no—
1090C2×D4—28no—
1091C2×D4—28no—
1092C2×D4—22no—
1093C2×D4—22no—
1094C2×D4—24no—
1095C2×D4—24no—
1096C2×D4—24no—
1097C2×D4—24no—
1098C2×D4—22no—
1099C2×D4—22no—
1100C2×D4—22no—
1101C2×D4—42no—
1102C2×D4—42no—
1103C2×D4—42no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—42no—
1107C2×D4—41no—
1108C2×D4—42no—
1109C2×D4—41no—
1110C2×D4—41no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4—44no—
1114C2×D4—42no—
1115C2×D4—42no—
1116C2×D4—44no—
1117C2×D4—44no—
1118C2×D4—44no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—42no—
1124C2×D4—42no—
1125C2×D4—41no—
1126C2×D4—42no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4C2×#4114yes—
1135C2×D4C2×#4114yes—
1136C22×C4—24no—
1137C22×C4—24no—
1138C22×C4—24no—
1139C22×C4—24no—
1140C22×C4—24no—
1141C22×C4—24no—
1142C22×C4—28no—
1143C22×C4—24no—
1144C22×C4—24no—
1145C22×C4—24no—
1146C22×C4—24no—
1147C22×C4—24no—
1148C22×C4—24no—
1149C22×C4—24no—
1150C22×C4—24no—
1151C22×C4—24no—
1152C22×C4—24no—
1153C22×C4—24no—
1154C22×C4—24no—
1155C22×C4—24no—
1156C22×C4—24no—
1157C22×C4—28no—
1158C22×C4—28no—
1159C22×C4—42no—
1160C22×C4—42no—
1161C22×C4—42no—
1162C22×C4—42no—
1163C22×C4—42no—
1164C22×C4—42no—
1165C22×C4—42no—
1166C22×C4—42no—
1167C22×C4—432no—
1168C22×C4—44no—
1169C22×C4—44no—
1170C22×C4—44no—
1171C22×C4—44no—
1172C22×C4—44no—
1173C22×C4—44no—
1174C22×C4—44no—
1175C22×C4—44no—
1176C22×C4—44no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—44no—
1180C22×C4C2×#4118yes—
1181C22×C4C2×#4118yes—
1182C22×C4C2512yes—
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2512yes—
1187C22×C4C2514yes—
1188C22×C4C2512yes—
1189C22×C4C2514yes—
1190C22×C4C2514yes—
1191C22×C4C2514yes—
1192C22×C4C2511yescharacteristic
1193C22×C4C2512yes—
1194C22×C4C2514yes—
1195C22×C4C2514yes—
1196C22×C4C2512yes—
1197C22×C4C2511yescharacteristic
1198C22×C4C2511yescharacteristic
1199C22×C4C2511yescharacteristic
1200C22×C4C2511yescharacteristic
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2511yescharacteristic
1205C22×C4C2511yescharacteristic
1206C4⋊C4—22no—
1207C4⋊C4—24no—
1208C4⋊C4—28no—
1209C4⋊C4—22no—
1210C4⋊C4—24no—
1211C4⋊C4—24no—
1212C4⋊C4—24no—
1213C4⋊C4—24no—
1214C4⋊C4—24no—
1215C4⋊C4—24no—
1216C4⋊C4—24no—
1217C4⋊C4—24no—
1218C4⋊C4—24no—
1219C4⋊C4—24no—
1220C4⋊C4—24no—
1221C4⋊C4—24no—
1222C4⋊C4—24no—
1223C4⋊C4—24no—
1224C4⋊C4—24no—
1225C4⋊C4—28no—
1226C4⋊C4—28no—
1227C4⋊C4—24no—
1228C4⋊C4—24no—
1229C4⋊C4—28no—
1230C4⋊C4—44no—
1231C4⋊C4—44no—
1232C4⋊C4—42no—
1233C4⋊C4—41no—
1234C4⋊C4—44no—
1235C4⋊C4—41no—
1236C4⋊C4—42no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—42no—
1240C4⋊C4—42no—
1241C4⋊C4—41no—
1242C4⋊C4—44no—
1243C4⋊C4—42no—
1244C4⋊C4—41no—
1245C4⋊C4—44no—
1246C4⋊C4—44no—
1247C4⋊C4—44no—
1248C4⋊C4—44no—
1249C4⋊C4—44no—
1250C4⋊C4—44no—
1251C4⋊C4—44no—
1252C4⋊C4—44no—
1253C4⋊C4—42no—
1254C4⋊C4—44no—
1255C4⋊C4C2×#4114yes—
1256C4⋊C4C2×#4114yes—
1257C4⋊C4H(5,𝔽2)14yes—
1258C22⋊C4—28no—
1259C22⋊C4—24no—
1260C22⋊C4—24no—
1261C22⋊C4—24no—
1262C22⋊C4—24no—
1263C22⋊C4—24no—
1264C22⋊C4—24no—
1265C22⋊C4—24no—
1266C22⋊C4—24no—
1267C22⋊C4—28no—
1268C22⋊C4—24no—
1269C22⋊C4—24no—
1270C22⋊C4—24no—
1271C22⋊C4—24no—
1272C22⋊C4—24no—
1273C22⋊C4—24no—
1274C22⋊C4—24no—
1275C22⋊C4—24no—
1276C22⋊C4—24no—
1277C22⋊C4—24no—
1278C22⋊C4—28no—
1279C22⋊C4—28no—
1280C22⋊C4—28no—
1281C22⋊C4—24no—
1282C22⋊C4—24no—
1283C22⋊C4—24no—
1284C22⋊C4—44no—
1285C22⋊C4—44no—
1286C22⋊C4—44no—
1287C22⋊C4—44no—
1288C22⋊C4—44no—
1289C22⋊C4—44no—
1290C22⋊C4—42no—
1291C22⋊C4—44no—
1292C22⋊C4—44no—
1293C22⋊C4—44no—
1294C22⋊C4—42no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—42no—
1302C22⋊C4—42no—
1303C22⋊C4—44no—
1304C22⋊C4—42no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—42no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4C2×#4118yes—
1319C22⋊C4C2×#4118yes—
1320C42—28no—
1321C42—24no—
1322C42—24no—
1323C42—28no—
1324C42—28no—
1325C42—22no—
1326C42—22no—
1327C42—44no—
1328C42—44no—
1329C42—41no—
1330C42—42no—
1331C42—42no—
1332C42—42no—
1333C42—41no—
1334C42—44no—
1335C42—44no—
1336C42—44no—
1337C42—44no—
1338C42—44no—
1339C42—44no—
1340C42—44no—
1341C42—41no—
1342C42—44no—
1343C42C2×#4114yes—
1344C42C2×#4114yes—
1345C23—22no—
1346C23—22no—
1347C23—22no—
1348C23—22no—
1349C23—22no—
1350C23—22no—
1351C23—22no—
1352C23—22no—
1353C23—22no—
1354C23—22no—
1355C23—22no—
1356C23—22no—
1357C23—22no—
1358C23—22no—
1359C23—22no—
1360C23—22no—
1361C23—22no—
1362C23—22no—
1363C23—22no—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—22no—
1369C23—22no—
1370C23—22no—
1371C23—22no—
1372C23—22no—
1373C23—22no—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—48no—
1379C23—48no—
1380C23—84no—
1381C23—84no—
1382C23—84no—
1383C23—84no—
1384C23—84no—
1385C23C22×#4114yes—
1386C23C22×#4114yes—
1387C23C2611yescharacteristic
1388Q8—48no—
1389Q8—48no—
1390Q8—84no—
1391Q8—84no—
1392Q8—162no—
1393D4—44no—
1394D4—44no—
1395D4—48no—
1396D4—48no—
1397D4—44no—
1398D4—48no—
1399D4—48no—
1400D4—44no—
1401D4—84no—
1402D4—84no—
1403D4—82no—
1404D4—84no—
1405D4—88no—
1406D4—84no—
1407D4—84no—
1408D4—88no—
1409D4—88no—
1410D4—164no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—21no—
1415C2×C4—22no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—22no—
1419C2×C4—21no—
1420C2×C4—22no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—216no—
1428C2×C4—216no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—24no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—24no—
1441C2×C4—22no—
1442C2×C4—24no—
1443C2×C4—24no—
1444C2×C4—21no—
1445C2×C4—24no—
1446C2×C4—22no—
1447C2×C4—24no—
1448C2×C4—22no—
1449C2×C4—24no—
1450C2×C4—24no—
1451C2×C4—22no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—24no—
1461C2×C4—24no—
1462C2×C4—24no—
1463C2×C4—21no—
1464C2×C4—24no—
1465C2×C4—24no—
1466C2×C4—24no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—22no—
1473C2×C4—24no—
1474C2×C4—48no—
1475C2×C4—48no—
1476C2×C4—48no—
1477C2×C4—48no—
1478C2×C4—48no—
1479C2×C4—48no—
1480C2×C4—48no—
1481C2×C4—48no—
1482C2×C4—88no—
1483C2×C4—88no—
1484C2×C4—88no—
1485C2×C4—88no—
1486C2×C4—164no—
1487C2×C4C22×#4114yes—
1488C2×C4C22×#4112yes—
1489C2×C4C22×#4112yes—
1490C2×C4C22×#4112yes—
1491C2×C4C22×#4112yes—
1492C2×C4C22×#4114yes—
1493C2×C4C22×#4112yes—
1494C2×C4C22×#4112yes—
1495C2×C4C2×H(5,𝔽2)14yes—
1496C2×C4C2×H(5,𝔽2)12yes—
1497C2×C4#58512yes—
1498C22—24no—
1499C22—24no—
1500C22—24no—
1501C22—24no—
1502C22—24no—
1503C22—24no—
1504C22—42no—
1505C22—42no—
1506C22—42no—
1507C22—42no—
1508C22—42no—
1509C22—42no—
1510C22—42no—
1511C22—42no—
1512C22—42no—
1513C22—42no—
1514C22—42no—
1515C22—42no—
1516C22—42no—
1517C22—42no—
1518C22—42no—
1519C22—42no—
1520C22—42no—
1521C22—42no—
1522C22—42no—
1523C22—42no—
1524C22—42no—
1525C22—42no—
1526C22—42no—
1527C22—42no—
1528C22—42no—
1529C22—42no—
1530C22—42no—
1531C22—42no—
1532C22—42no—
1533C22—816no—
1534C22C23×#4111yescharacteristic
1535C22C23×#4111yescharacteristic
1536C22C22×H(5,𝔽2)11yescharacteristic
1537C22C2×#58511yescharacteristic
1538C22H(7,𝔽2)11yescharacteristic
1539C22H(7,𝔽2)11yescharacteristic
1540C222−1+611yescharacteristic
1541C4—22no—
1542C4—22no—
1543C4—22no—
1544C4—22no—
1545C4—22no—
1546C4—24no—
1547C4—24no—
1548C4—24no—
1549C4—42no—
1550C4—44no—
1551C4—42no—
1552C4—44no—
1553C4—44no—
1554C4—41no—
1555C4—42no—
1556C4—42no—
1557C4—42no—
1558C4—44no—
1559C4—42no—
1560C4—44no—
1561C4—44no—
1562C4—42no—
1563C4—42no—
1564C4#348114yes—
1565C2—44no—
1566C2—44no—
1567C2—82no—
1568C2—82no—
1569C2—82no—
1570C2C2×#348111yescharacteristic
1571C2#6284511yescharacteristic
1572C2#6285511yescharacteristic
1573C2#6289611yescharacteristic
1574C2#6299411yescharacteristic
1575C2#6300911yescharacteristic
1576C2#6305211yescharacteristic
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. #60044C2semidirect
2. #60009C2semidirect
3. #59863C2semidirect
4. #59204C2semidirect
5. #52278C2semidirect
6. #52103C2semidirect
7. #45126C2semidirect
8. #44907C2semidirect
9. #44907C2semidirect
10. #44687C2semidirect
11. #44282C2semidirect
12. #43392C2semidirect
13. #40410C2semidirect
14. #40392C2semidirect
15. #39493C2semidirect
16. #39493C2semidirect
17. #38763C2semidirect
18. #38760C2semidirect
19. #37845C2semidirect
20. #37839C2semidirect
21. #36415C2semidirect
22. #36235C2semidirect
23. #35833C2semidirect
24. #35770C2semidirect
25. #35682C2semidirect
26. #34321C2semidirect
27. #34316C2semidirect
28. #34202C2semidirect
29. #34201C2semidirect
33. C2×#547C22semidirect
37. C22×#117C22semidirect
38. #2862C22semidirect
41. #2847C22semidirect
43. #2808C22semidirect
44. #2806C22semidirect
45. #2806C22semidirect
46. #2805C22semidirect
47. #2805C22semidirect
50. #2803C22semidirect
51. #2803C22semidirect
52. #2797C22semidirect
53. #2779C22semidirect
54. #2779C22semidirect
56. #2778C22semidirect
57. #2759C22semidirect
58. #2745C22semidirect
60. #2737C22semidirect
67. #2700C22semidirect
69. #2696C22semidirect
70. #2692C22semidirect
81. #2670C22semidirect
84. #2654C22semidirect
86. #2630C22semidirect
87. #2628C22semidirect
88. #2628C22semidirect
91. #2609C22semidirect
92. #2602C22semidirect
93. #2601C22semidirect
94. #2601C22semidirect
95. #2597C22semidirect
96. #2597C22semidirect
97. #2595C22semidirect
98. #2594C22semidirect
99. #2594C22semidirect
100. #2592C22semidirect
101. #2589C22semidirect
102. #2589C22semidirect
103. #2577C22semidirect
105. #2574C22semidirect
106. #2570C22semidirect
107. #2570C22semidirect
108. #2563C22semidirect
109. #2563C22semidirect
110. #2560C22semidirect
113. #2557C22semidirect
114. #2557C22semidirect
116. #2554C22semidirect
117. #2553C22semidirect
120. #2547C22semidirect
121. #2539C22semidirect
122. #2535C22semidirect
123. #2535C22semidirect
124. #2528C22semidirect
125. #2527C22semidirect
127. #2521C22semidirect
128. #2520C22semidirect
129. #2520C22semidirect
130. #2517C22semidirect
132. #2513C22semidirect
134. #2500C22semidirect
135. #2500C22semidirect
136. #2499C22semidirect
137. #2496C22semidirect
138. #2496C22semidirect
139. #2494C22semidirect
140. #2494C22semidirect
141. #2488C22semidirect
143. #2486C22semidirect
146. #2485C22semidirect
147. #2485C22semidirect
148. #2480C22semidirect
149. #2477C22semidirect
152. #2476C22semidirect
153. #2474C22semidirect
155. #2472C22semidirect
156. #2471C22semidirect
157. #2469C22semidirect
159. #2465C22semidirect
160. #2465C22semidirect
161. #2465C22semidirect
163. #2458C22semidirect
165. #2440C22semidirect
166. #2440C22semidirect
167. #2439C22semidirect
168. #2439C22semidirect
173. #2416C22semidirect
175. #2414C22semidirect
176. #2407C22semidirect
178. #2401C22semidirect
179. #2398C22semidirect
183. #2388C22semidirect
184. #2374C22semidirect
185. #2369C22semidirect
186. #2368C22semidirect
187. #2367C22semidirect
188. #2365C22semidirect
192. #2363C22semidirect
193. #2362C22semidirect
194. #2362C22semidirect
195. #2362C22semidirect
196. #2361C22semidirect
198. #2359C22semidirect
200. #2358C22semidirect
201. #2355C22semidirect
205. #2354C22semidirect
206. #2354C22semidirect
207. #2354C22semidirect
208. #2354C22semidirect
209. #2354C22semidirect
214. #2352C22semidirect
215. #2352C22semidirect
216. #2352C22semidirect
217. #2352C22semidirect
219. D4×C4⋊C4C22semidirect
220. #2347C22semidirect
221. #2347C22semidirect
222. #2346C22semidirect
223. #2345C22semidirect
224. #2345C22semidirect
226. #2337C22semidirect
227. #2335C22semidirect
229. #2324C22semidirect
230. #2324C22semidirect
231. #2323C22semidirect
233. #2321C22semidirect
234. #2317C22semidirect
235. #2317C22semidirect
238. C4×C4⋊Q8C22semidirect
239. C4×C4⋊Q8C22semidirect
241. C4×C22⋊Q8C22semidirect
242. C4×C22⋊Q8C22semidirect
244. C4×#123C22semidirect
249. #2297C22semidirect
250. #2296C22semidirect
253. #2290C22semidirect
254. #2280C22semidirect
255. C2×#380C22semidirect
256. #2274C22semidirect
257. #2274C22semidirect
258. C42×D4C22semidirect
836. C4×D4#41semidirect
837. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#600442
#600092
#598632
#592042
#522782
#521032
#451262
#449072
#446872
#442822
#433922
#404102
#403922
#394932
#387632
#387602
#378452
#378392
#364152
#362352
#358332
#357702
#356822
#343212
#343162
#342022
#342012