Finite Group Databasebeta

← #8323553

Subgroups — #8323553

Order 512.

5180 conjugacy classes of subgroups.

The subgroup lattice has 1597 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59568C212yesmaximal, complemented
2#59308C212yesmaximal, complemented
3#59026C212yesmaximal, complemented
4#57965C214yesmaximal, complemented
5#56678C214yesmaximal, complemented
6#56571C212yesmaximal, complemented
7#55612C212yesmaximal, complemented
8#53701C214yesmaximal, complemented
9#52975C212yesmaximal, complemented
10#52410C212yesmaximal, complemented
11#52163C211yesmaximal, characteristic, complemented
12#49845C214yesmaximal, complemented
13#48149C214yesmaximal, complemented
14#45508C212yesmaximal, complemented
15#45214C212yesmaximal, complemented
16#43046C212yesmaximal, complemented
17#42971C211yesmaximal, characteristic, complemented
18#42759C212yesmaximal, complemented
19#42718C212yesmaximal, complemented
20#42502C211yesmaximal, characteristic, complemented
21#40886C214yesmaximal, complemented
22#39908C212yesmaximal, complemented
23#38904C212yesmaximal, complemented
24#37845C212yesmaximal, complemented
25#37648C212yesmaximal, complemented
26#37513C211yesmaximal, characteristic, complemented
27#36011C211yesmaximal, characteristic, complemented
28#35728C211yesmaximal, characteristic, complemented
29#35618C211yesmaximal, characteristic, complemented
30C2×#555C2211yescharacteristic
31C2×#555C2212yescomplemented
32C2×#546C2212yescomplemented
33C2×D42C2211yescharacteristic
34C2×#537C2211yescharacteristic
35C2×#525C2212yescomplemented
36C22×#121C2212yescomplemented
37C2×#520C2211yescharacteristic, complemented
38#2848C2212yescomplemented
39#2847C2212yescomplemented
40#2835C2212yescomplemented
41#2832C2212yescomplemented
42#2831C2214yescomplemented
43#2831C2214yescomplemented
44#2828C2214yescomplemented
45#2828C2212yescomplemented
46#2827C2214yescomplemented
47#2827C2214yescomplemented
48#2824C2214yescomplemented
49#2819C2212yescomplemented
50#2812C2214yescomplemented
51#2797C2214yescomplemented
52#2797C2214yescomplemented
53#2796C2214yescomplemented
54#2782C2212yes—
55#2778C2214yescomplemented
56#2772C2214yescomplemented
57#2769C2212yescomplemented
58#2764C2214yescomplemented
59#2757C2214yescomplemented
60#2753C2214yescomplemented
61#2750C2214yescomplemented
62#2750C2214yescomplemented
63#2749C2214yescomplemented
64#2749C2214yescomplemented
65#2749C2214yescomplemented
66#2746C2214yescomplemented
67#2743C2214yescomplemented
68#2740C2214yescomplemented
69#2737C2214yescomplemented
70#2735C2214yescomplemented
71#2735C2214yescomplemented
72#2732C2212yescomplemented
73#2730C2214yescomplemented
74#2728C2211yescharacteristic
75#2728C2211yescharacteristic, complemented
76#2728C2214yescomplemented
77#2724C2211yescharacteristic, complemented
78#2720C2214yescomplemented
79#2712C2212yescomplemented
80#2711C2214yescomplemented
81#2711C2214yescomplemented
82#2708C2212yescomplemented
83#2708C2212yescomplemented
84#2700C2214yescomplemented
85#2700C2214yescomplemented
86#2699C2214yescomplemented
87#2699C2214yescomplemented
88#2697C2212yescomplemented
89#2692C2214yescomplemented
90#2690C2214yescomplemented
91#2688C2214yescomplemented
92#2688C2214yescomplemented
93#2688C2214yescomplemented
94#2688C2214yescomplemented
95#2686C2214yescomplemented
96#2684C2214yes—
97#2684C2214yescomplemented
98#2682C2214yescomplemented
99#2681C2214yescomplemented
100#2679C2211yescharacteristic
101#2676C2214yescomplemented
102#2675C2214yescomplemented
103#2675C2212yescomplemented
104#2671C2214yescomplemented
105#2670C2214yescomplemented
106#2668C2212yes—
107#2668C2214yes—
108#2668C2214yes—
109#2668C2214yescomplemented
110#2668C2212yescomplemented
111#2653C2214yescomplemented
112#2652C2214yescomplemented
113#2651C2214yescomplemented
114#2648C2214yescomplemented
115#2639C2214yescomplemented
116#2635C2212yescomplemented
117#2635C2214yescomplemented
118#2633C2214yescomplemented
119#2631C2214yescomplemented
120#2628C2211yescharacteristic, complemented
121#2628C2212yescomplemented
122#2622C2214yescomplemented
123#2620C2212yescomplemented
124#2620C2214yescomplemented
125#2619C2211yescharacteristic, complemented
126#2618C2212yescomplemented
127#2615C2212yescomplemented
128#2609C2212yescomplemented
129#2591C2212yescomplemented
130#2589C2214yescomplemented
131#2578C2214yes—
132#2576C2214yescomplemented
133#2572C2212yescomplemented
134#2572C2214yescomplemented
135#2570C2212yescomplemented
136#2568C2211yescharacteristic, complemented
137#2557C2214yescomplemented
138#2557C2214yescomplemented
139#2555C2214yescomplemented
140#2555C2212yescomplemented
141#2555C2214yescomplemented
142#2548C2211yescharacteristic, complemented
143#2547C2212yescomplemented
144#2543C2214yescomplemented
145#2543C2212yescomplemented
146#2540C2212yescomplemented
147#2537C2212yes—
148#2536C2211yescharacteristic
149#2536C2211yescharacteristic, complemented
150#2535C2212yes—
151#2535C2212yes—
152#2518C2214yescomplemented
153#2510C2214yescomplemented
154#2506C2212yescomplemented
155#2504C2212yescomplemented
156#2504C2212yescomplemented
157#2503C2212yescomplemented
158#2500C2212yescomplemented
159#2500C2212yescomplemented
160#2499C2212yescomplemented
161#2495C2212yescomplemented
162#2495C2212yescomplemented
163#2495C2212yescomplemented
164#2494C2212yescomplemented
165#2493C2214yescomplemented
166#2492C2212yescomplemented
167#2491C2212yescomplemented
168#2490C2214yescomplemented
169#2487C2212yes—
170#2485C2212yescomplemented
171#2485C2212yescomplemented
172#2484C2212yescomplemented
173#2483C2214yescomplemented
174#2477C2214yescomplemented
175#2476C2214yescomplemented
176#2474C2214yescomplemented
177#2472C2214yescomplemented
178#2472C2214yescomplemented
179#2472C2214yescomplemented
180#2472C2214yescomplemented
181#2471C2214yescomplemented
182#2470C2214yescomplemented
183#2463C2212yes—
184#2459C2214yescomplemented
185#2452C2212yescomplemented
186#2452C2212yescomplemented
187#2447C2212yescomplemented
188#2444C2214yescomplemented
189#2444C2214yescomplemented
190#2444C2214yescomplemented
191#2440C2212yescomplemented
192#2439C2212yescomplemented
193#2437C2214yescomplemented
194#2435C2214yescomplemented
195#2428C2212yescomplemented
196#2428C2212yescomplemented
197#2427C2212yescomplemented
198#2427C2214yescomplemented
199#2426C2212yescomplemented
200#2424C2214yescomplemented
201#2424C2214yescomplemented
202#2424C2214yescomplemented
203#2421C2212yescomplemented
204#2421C2212yescomplemented
205#2420C2212yescomplemented
206#2420C2212yescomplemented
207#2420C2212yescomplemented
208#2420C2212yescomplemented
209#2417C2212yescomplemented
210#2416C2212yescomplemented
211#2416C2212yescomplemented
212#2415C2212yescomplemented
213#2414C2212yescomplemented
214#2414C2212yescomplemented
215#2411C2214yescomplemented
216#2410C2214yescomplemented
217#2410C2214yescomplemented
218#2410C2214yescomplemented
219#2408C2212yes—
220#2408C2212yes—
221#2408C2212yes—
222#2408C2214yescomplemented
223#2407C2212yescomplemented
224#2403C2214yes—
225#2395C2212yescomplemented
226#2395C2212yescomplemented
227#2395C2212yescomplemented
228#2392C2211yescharacteristic
229#2392C2211yescharacteristic, complemented
230C2×#394C2212yes—
231#2375C2214yescomplemented
232#2364C2214yescomplemented
233#2363C2212yescomplemented
234#2362C2212yescomplemented
235#2357C2212yescomplemented
236#2357C2211yescharacteristic, complemented
237#2352C2212yescomplemented
238#2352C2212yescomplemented
239#2349C2211yescharacteristic, complemented
240D4×C4⋊C4C2212yescomplemented
241#2342C2214yescomplemented
242#2342C2214yescomplemented
243D4×C22⋊C4C2212yescomplemented
244D4×C22⋊C4C2212yescomplemented
245#2337C2214yescomplemented
246#2324C2212yescomplemented
247#2324C2212yescomplemented
248#2317C2211yescharacteristic, complemented
249#2311C2211yescharacteristic, complemented
250#2308C2214yes—
251C4×#121C2212yescomplemented
252C4×#121C2212yescomplemented
253C4×#120C2212yes—
254C4×#120C2212yescomplemented
255#2297C2211yescharacteristic, complemented
256#2297C2211yescharacteristic, complemented
257C2×#382C2211yescharacteristic, complemented
258#2280C2212yescomplemented
259C22×#41C2311yescharacteristic
260C22×#41C2311yescharacteristic
261C23×D4C2312yes—
262C23×D4C2312yes—
263C23×D4C2314yes—
264C24×C4C2312yes—
265#555—48no—
266#555—44no—
267#546—48no—
268D42—44no—
269#537—44no—
270C2×C4⋊Q8C2311yescharacteristic
271C2×C4⋊Q8C2312yes—
272C2×#127C2311yescharacteristic
273C2×#125C2314yes—
274C2×#124C2314yes—
275C2×#124C2314yes—
276C2×#124C2312yes—
277C2×#124C2314yes—
278C2×#124C2314yes—
279C2×#124C2314yes—
280#525—48no—
281C2×#123C2314yes—
282C2×#123C2312yes—
283C2×#123C2312yes—
284C2×C22⋊Q8C2312yes—
285C2×C22⋊Q8C2312yes—
286C2×C22⋊Q8C2312yes—
287C2×C22⋊Q8C2312yes—
288C2×C22⋊Q8C2312yes—
289C2×C22⋊Q8C2312yes—
290C2×C22⋊Q8C2314yes—
291C2×C22⋊Q8C2314yes—
292C2×C22⋊Q8C2314yes—
293C2×#121—48no—
294C2×#121C2312yes—
295C2×#121C2312yes—
296C2×#121C2312yes—
297C2×#121C2312yes—
298C2×#121C2312yes—
299C2×#121C2312yes—
300C2×#121C2312yes—
301C2×#121C2312yes—
302C2×#121C2312yes—
303C2×#121C2314yes—
304C2×#121C2314yes—
305C2×#121C2314yes—
306C2×#121C2314yes—
307C2×#121C2312yes—
308C2×#121C2312yes—
309C2×#121C2312yes—
310C2×#121C2312yes—
311C2×#121C2312yes—
312C2×#121C2314yes—
313C2×#121C2314yes—
314C2×#121C2314yes—
315C2×#121C2314yes—
316C2×#121C2314yes—
317C2×#121C2314yes—
318C2×#120C2314yes—
319C2×#120C2314yes—
320C2×#120C2312yes—
321C2×#120C2314yes—
322C2×#120C2312yes—
323C2×#120C2312yes—
324C2×#120C2312yes—
325C2×#120C2314yes—
326C2×#120C2314yes—
327#520—44no—
328C2×C4×Q8C2311yescharacteristic
329C2×C4×Q8C2311yescharacteristic
330C2×C4×D4C2311yescharacteristic
331C2×C4×D4C2312yes—
332C2×C4×D4C2311yescharacteristic
333C2×C4×D4C2312yes—
334C2×C4×D4C2312yes—
335C2×C4×D4C2312yes—
336C2×C4×D4C2312yes—
337C2×C4×D4C2312yes—
338C2×C4×D4C2312yes—
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2314yes—
345C2×C4×D4C2314yes—
346C2×#117C2311yescharacteristic
347C2×#117C2311yescharacteristic
348C2×#117C2312yes—
349C2×#117C2312yes—
350C2×#117C2314yes—
351C2×#117C2312yes—
352C2×#117C2312yes—
353C2×#117C2312yes—
354C22×C4⋊C4C2311yescharacteristic
355C22×C4⋊C4C2311yescharacteristic
356C22×C4⋊C4C2312yes—
357C22×C4⋊C4C2312yes—
358C22×C22⋊C4C2314yes—
359C22×C22⋊C4C2314yes—
360C22×C22⋊C4C2314yes—
361C22×C22⋊C4C2314yes—
362C22×C42C2311yescharacteristic
363#401C2314yes—
364#400C2312yes—
365#400C2312yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2312yes—
371#400C2312yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2312yes—
378#400C2314yes—
379#399C2312yes—
380#399C2314yes—
381#399C2314yes—
382#399C2312yes—
383#399C2312yes—
384#399C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2312yes—
390#398C2311yescharacteristic
391#398C2311yescharacteristic
392#398C2312yes—
393#398C2312yes—
394#398C2312yes—
395#397C2314yes—
396#397C2314yes—
397#397C2312yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2311yescharacteristic
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2311yescharacteristic
416#397C2312yes—
417#397C2312yes—
418#397C2312yes—
419#397C2312yes—
420#397C2312yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2312yes—
435#396C2312yes—
436#395C2314yes—
437#395C2314yes—
438#395C2312yes—
439#394C2311yescharacteristic
440#394C2312yes—
441#394C2314yes—
442#394C2312yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2312yes—
451#394C2312yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2312yes—
457#394C2314yes—
458#394C2312yes—
459#394C2312yes—
460#394C2312yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2312yes—
465#394C2314yes—
466#394C2314yes—
467#394C2311yescharacteristic
468#394C2312yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2312yes—
473#394C2312yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2312yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2312yes—
496#392C2312yes—
497#392C2311yescharacteristic
498#392C2314yes—
499#392C2311yescharacteristic
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#391C2312yes—
504#391C2314yes—
505#391C2312yes—
506#391C2311yescharacteristic
507#391C2314yes—
508#391C2314yes—
509#391C2311yescharacteristic
510#391C2314yes—
511#391C2312yes—
512#390C2312yes—
513#390C2311yescharacteristic
514#390C2314yes—
515#390C2312yes—
516#390C2312yes—
517#390C2314yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2314yes—
522#390C2314yes—
523#390C2314yes—
524#390C2314yes—
525#390C2314yes—
526#390C2314yes—
527#390C2312yes—
528#390C2314yes—
529#390C2312yes—
530#390C2311yescharacteristic
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2312yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
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#388C2312yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#386C2312yes—
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#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2312yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2312yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2312yes—
616#386C2314yes—
617#386C2312yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2312yes—
622#386C2312yes—
623#386C2312yes—
624#386C2312yes—
625#386C2314yes—
626#386C2314yes—
627#386C2312yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2312yes—
634#385C2312yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2312yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2312yes—
644#385C2314yes—
645#385C2314yes—
646#385C2312yes—
647#385C2312yes—
648#385C2312yes—
649#385C2312yes—
650#384C2312yes—
651#384C2312yes—
652#383C2314yes—
653#383C2314yes—
654#383C2314yes—
655#382C2312yes—
656#382C2312yes—
657#382C2312yes—
658#382C2312yes—
659#382C2311yescharacteristic
660#382C2312yes—
661#382C2311yescharacteristic
662#382C2312yes—
663#381C2314yes—
664#381C2314yes—
665#381C2314yes—
666#381C2314yes—
667#381C2314yes—
668#381C2314yes—
669#381C2312yes—
670#381C2314yes—
671#380C2312yes—
672#380C2312yes—
673#380C2314yes—
674#380C2312yes—
675#380C2312yes—
676#380C2312yes—
677#380C2312yes—
678#380C2312yes—
679#380C2312yes—
680#380C2314yes—
681#380C2314yes—
682#380C2312yes—
683#380C2312yes—
684#380C2312yes—
685#380C2312yes—
686#380C2312yes—
687#379C2314yes—
688#379C2314yes—
689#379C2314yes—
690#379C2314yes—
691#379C2314yes—
692#379C2312yes—
693#379C2312yes—
694#379C2314yes—
695C4×C4⋊C4C2311yescharacteristic
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2314yes—
701C4×C4⋊C4C2311yescharacteristic
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C2×#95C2312yes—
719C2×#95C2314yes—
720C25C2414yes—
721C25C2412yes—
722C2×#41—24no—
723C2×#41—24no—
724C2×#41—24no—
725C2×#41—42no—
726C2×#41—42no—
727C2×#41—42no—
728C22×Q8C2411yescharacteristic
729C22×Q8C2411yescharacteristic
730C22×Q8C2412yes—
731C22×Q8C2414yes—
732C22×D4—28no—
733C22×D4—44no—
734C22×D4—44no—
735C22×D4—44no—
736C22×D4—48no—
737C22×D4—48no—
738C22×D4—84no—
739C22×D4—84no—
740C22×D4C2412yes—
741C22×D4C2412yes—
742C22×D4C2412yes—
743C22×D4C2411yescharacteristic
744C22×D4C2411yescharacteristic
745C22×D4C2412yes—
746C22×D4C2412yes—
747C22×D4C2412yes—
748C22×D4C2414yes—
749C22×D4C2411yescharacteristic
750C22×D4C2414yes—
751C22×D4C2414yes—
752C22×D4C2414yes—
753C22×D4C2412yes—
754C22×D4C2414yes—
755C22×D4C2412yes—
756C22×D4C2411yescharacteristic
757C22×D4C2412yes—
758C22×D4C2414yes—
759C22×D4C2414yes—
760C22×D4C2414yes—
761C22×D4C2414yes—
762C22×D4C2412yes—
763C23×C4—44no—
764C23×C4—44no—
765C23×C4—44no—
766C23×C4C2412yes—
767C23×C4C2412yes—
768C23×C4C2412yes—
769C23×C4C2412yes—
770C23×C4C2411yescharacteristic
771C23×C4C2412yes—
772C23×C4C2412yes—
773C23×C4C2414yes—
774C23×C4C2412yes—
775C23×C4C2414yes—
776C23×C4C2414yes—
777C23×C4C2414yes—
778C23×C4C2412yes—
779C23×C4C2412yes—
780C23×C4C2412yes—
781C23×C4C2412yes—
782C23×C4C2412yes—
783C4⋊Q8—44no—
784C4⋊Q8—42no—
785#127—42no—
786#125—84no—
787#124—48no—
788#124—44no—
789#124—48no—
790#124—48no—
791#124—48no—
792#124—84no—
793#123—44no—
794#123—48no—
795#123—44no—
796C22⋊Q8—44no—
797C22⋊Q8—44no—
798C22⋊Q8—44no—
799C22⋊Q8—44no—
800C22⋊Q8—44no—
801C22⋊Q8—44no—
802C22⋊Q8—84no—
803C22⋊Q8—84no—
804C22⋊Q8—84no—
805#121—28no—
806#121—28no—
807#121—28no—
808#121—48no—
809#121—48no—
810#121—44no—
811#121—48no—
812#121—44no—
813#121—44no—
814#121—48no—
815#121—48no—
816#121—48no—
817#121—44no—
818#121—44no—
819#121—44no—
820#121—44no—
821#121—44no—
822#121—44no—
823#121—44no—
824#121—44no—
825#121—84no—
826#121—84no—
827#121—84no—
828#121—84no—
829#120—44no—
830#120—44no—
831#120—48no—
832#120—48no—
833#120—44no—
834#120—44no—
835#120—48no—
836#120—84no—
837#120—84no—
838C4×Q8—42no—
839C4×Q8—42no—
840C4×D4—24no—
841C4×D4—24no—
842C4×D4—28no—
843C4×D4—28no—
844C4×D4—44no—
845C4×D4—44no—
846C4×D4—44no—
847C4×D4—44no—
848C4×D4—44no—
849C4×D4—44no—
850C4×D4—42no—
851C4×D4—42no—
852C4×D4—44no—
853C4×D4—44no—
854C4×D4—84no—
855C4×D4—84no—
856#117—24no—
857#117—42no—
858#117—44no—
859#117—48no—
860#117—44no—
861#117—44no—
862#117—44no—
863#117—44no—
864C2×C4⋊C4—42no—
865C2×C4⋊C4—44no—
866C2×C4⋊C4—42no—
867C2×C4⋊C4—44no—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2411yescharacteristic
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2411yescharacteristic
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2411yescharacteristic
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2412yes—
910C2×C22⋊C4—48no—
911C2×C22⋊C4—48no—
912C2×C22⋊C4—48no—
913C2×C22⋊C4—48no—
914C2×C22⋊C4C2412yes—
915C2×C22⋊C4C2412yes—
916C2×C22⋊C4C2412yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2412yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2411yescharacteristic
937C2×C22⋊C4C2411yescharacteristic
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C42—42no—
987C2×C42C2412yes—
988C2×C42C2412yes—
989C2×C42C2412yes—
990C2×C42C2411yescharacteristic
991C2×C42C2411yescharacteristic
992C2×C42C2412yes—
993C2×C42C2414yes—
994C2×C42C2414yes—
995C2×C42C2412yes—
996C2×C42C2412yes—
997C2×C42C2414yes—
998C2×C42C2414yes—
999C2×C42C2414yes—
1000C2×C42C2411yescharacteristic
1001C2×C42C2411yescharacteristic
1002#95C2411yescharacteristic
1003#95C2414yes—
1004#95C2412yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2412yes—
1010#95C2412yes—
1011#95C2411yescharacteristic
1012#95C2412yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2412yes—
1021#95C2414yes—
1022#95C2412yes—
1023#95C2412yes—
1024#95C2412yes—
1025#95C2412yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2414yes—
1036#95C2411yescharacteristic
1037#95C2412yes—
1038#95C2411yescharacteristic
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2414yes—
1055#95C2414yes—
1056C24—28no—
1057C24—28no—
1058C24—24no—
1059C24—42no—
1060C24—42no—
1061C24—42no—
1062C24—44no—
1063C24—42no—
1064C24—42no—
1065C24—42no—
1066C24—44no—
1067C24—44no—
1068C24—44no—
1069C24—44no—
1070C24C2514yes—
1071C24C2512yes—
1072C24C2512yes—
1073C24C2512yes—
1074C24C2511yescharacteristic
1075C24C2512yes—
1076#41—416no—
1077#41—88no—
1078C2×Q8—22no—
1079C2×Q8—22no—
1080C2×Q8—22no—
1081C2×Q8—22no—
1082C2×Q8—41no—
1083C2×Q8—41no—
1084C2×Q8—44no—
1085C2×Q8—44no—
1086C2×Q8—42no—
1087C2×Q8—44no—
1088C2×Q8—44no—
1089C2×D4—24no—
1090C2×D4—24no—
1091C2×D4—24no—
1092C2×D4—24no—
1093C2×D4—24no—
1094C2×D4—24no—
1095C2×D4—28no—
1096C2×D4—28no—
1097C2×D4—24no—
1098C2×D4—28no—
1099C2×D4—28no—
1100C2×D4—24no—
1101C2×D4—28no—
1102C2×D4—24no—
1103C2×D4—22no—
1104C2×D4—24no—
1105C2×D4—24no—
1106C2×D4—22no—
1107C2×D4—22no—
1108C2×D4—24no—
1109C2×D4—41no—
1110C2×D4—42no—
1111C2×D4—42no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—41no—
1115C2×D4—42no—
1116C2×D4—44no—
1117C2×D4—44no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—42no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—44no—
1126C2×D4—41no—
1127C2×D4—42no—
1128C2×D4—44no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—44no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—41no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—816no—
1154C2×D4—816no—
1155C2×D4—832no—
1156C2×D4H(5,𝔽2)14yes—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—24no—
1160C22×C4—24no—
1161C22×C4—24no—
1162C22×C4—24no—
1163C22×C4—24no—
1164C22×C4—24no—
1165C22×C4—24no—
1166C22×C4—24no—
1167C22×C4—24no—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—24no—
1171C22×C4—24no—
1172C22×C4—42no—
1173C22×C4—42no—
1174C22×C4—42no—
1175C22×C4—44no—
1176C22×C4—44no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—42no—
1180C22×C4—44no—
1181C22×C4—42no—
1182C22×C4—42no—
1183C22×C4—42no—
1184C22×C4—42no—
1185C22×C4—42no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4—42no—
1189C22×C4—42no—
1190C22×C4—42no—
1191C22×C4—42no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—816no—
1204C22×C4H(5,𝔽2)14yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2514yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2514yes—
1216C22×C4C2514yes—
1217C22×C4C2514yes—
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2514yes—
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C4⋊C4—24no—
1229C4⋊C4—22no—
1230C4⋊C4—24no—
1231C4⋊C4—22no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—41no—
1238C4⋊C4—42no—
1239C4⋊C4—42no—
1240C4⋊C4—42no—
1241C4⋊C4—44no—
1242C4⋊C4—42no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—42no—
1246C4⋊C4—42no—
1247C4⋊C4—44no—
1248C4⋊C4—42no—
1249C4⋊C4—42no—
1250C4⋊C4—41no—
1251C4⋊C4—42no—
1252C4⋊C4—42no—
1253C4⋊C4—44no—
1254C4⋊C4—44no—
1255C4⋊C4—42no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—42no—
1270C22⋊C4—28no—
1271C22⋊C4—28no—
1272C22⋊C4—24no—
1273C22⋊C4—24no—
1274C22⋊C4—24no—
1275C22⋊C4—24no—
1276C22⋊C4—24no—
1277C22⋊C4—24no—
1278C22⋊C4—24no—
1279C22⋊C4—28no—
1280C22⋊C4—28no—
1281C22⋊C4—24no—
1282C22⋊C4—28no—
1283C22⋊C4—24no—
1284C22⋊C4—44no—
1285C22⋊C4—44no—
1286C22⋊C4—44no—
1287C22⋊C4—44no—
1288C22⋊C4—44no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—44no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—42no—
1295C22⋊C4—42no—
1296C22⋊C4—44no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—42no—
1301C22⋊C4—42no—
1302C22⋊C4—42no—
1303C22⋊C4—42no—
1304C22⋊C4—42no—
1305C22⋊C4—44no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—44no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—44no—
1319C22⋊C4—42no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—42no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—42no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—42no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—42no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—42no—
1342C42—24no—
1343C42—24no—
1344C42—24no—
1345C42—22no—
1346C42—22no—
1347C42—24no—
1348C42—41no—
1349C42—41no—
1350C42—44no—
1351C42—44no—
1352C42—42no—
1353C42—42no—
1354C42—44no—
1355C42—44no—
1356C42—44no—
1357C23—22no—
1358C23—21no—
1359C23—22no—
1360C23—22no—
1361C23—24no—
1362C23—22no—
1363C23—22no—
1364C23—21no—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—22no—
1369C23—22no—
1370C23—24no—
1371C23—24no—
1372C23—22no—
1373C23—22no—
1374C23—22no—
1375C23—24no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—24no—
1382C23—24no—
1383C23—22no—
1384C23—24no—
1385C23—22no—
1386C23—24no—
1387C23—22no—
1388C23—24no—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23—416no—
1393C23—48no—
1394C23—84no—
1395C23—84no—
1396C23—84no—
1397C23—88no—
1398C23—88no—
1399C23—88no—
1400C23—88no—
1401C23—84no—
1402C23—84no—
1403C23—84no—
1404C23—164no—
1405C23—164no—
1406C23C2×H(5,𝔽2)14yes—
1407C23C2×H(5,𝔽2)12yes—
1408C23#58514yes—
1409C23C2611yescharacteristic
1410Q8—44no—
1411Q8—82no—
1412Q8—162no—
1413Q8—164no—
1414D4—28no—
1415D4—48no—
1416D4—44no—
1417D4—48no—
1418D4—48no—
1419D4—82no—
1420D4—84no—
1421D4—84no—
1422D4—88no—
1423D4—84no—
1424D4—88no—
1425D4—88no—
1426D4—88no—
1427D4—88no—
1428D4—84no—
1429D4—82no—
1430D4—84no—
1431D4—84no—
1432D4—88no—
1433D4—88no—
1434D4—162no—
1435D4—164no—
1436D4—164no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—28no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—24no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—22no—
1457C2×C4—24no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—24no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—24no—
1471C2×C4—22no—
1472C2×C4—24no—
1473C2×C4—22no—
1474C2×C4—24no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—24no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—24no—
1486C2×C4—24no—
1487C2×C4—24no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—24no—
1494C2×C4—24no—
1495C2×C4—24no—
1496C2×C4—22no—
1497C2×C4—48no—
1498C2×C4—48no—
1499C2×C4—48no—
1500C2×C4—48no—
1501C2×C4—84no—
1502C2×C4—84no—
1503C2×C4—84no—
1504C2×C4—88no—
1505C2×C4—84no—
1506C2×C4—84no—
1507C2×C4—84no—
1508C2×C4—88no—
1509C2×C4—162no—
1510C2×C4—162no—
1511C2×C4—164no—
1512C2×C4—164no—
1513C2×C4C2×H(5,𝔽2)12yes—
1514C2×C4C2×H(5,𝔽2)12yes—
1515C2×C4C2×H(5,𝔽2)12yes—
1516C2×C4#58512yes—
1517C22—22no—
1518C22—24no—
1519C22—24no—
1520C22—24no—
1521C22—24no—
1522C22—24no—
1523C22—24no—
1524C22—24no—
1525C22—42no—
1526C22—41no—
1527C22—42no—
1528C22—41no—
1529C22—42no—
1530C22—44no—
1531C22—42no—
1532C22—44no—
1533C22—42no—
1534C22—42no—
1535C22—42no—
1536C22—44no—
1537C22—44no—
1538C22—42no—
1539C22—42no—
1540C22—42no—
1541C22—42no—
1542C22—44no—
1543C22—44no—
1544C22—42no—
1545C22—42no—
1546C22—44no—
1547C22—42no—
1548C22—42no—
1549C22—44no—
1550C22—42no—
1551C22—44no—
1552C22—42no—
1553C22—42no—
1554C22—42no—
1555C22—816no—
1556C22—1616no—
1557C22C22×H(5,𝔽2)11yescharacteristic
1558C22C22×H(5,𝔽2)11yescharacteristic
1559C22C2×#58511yescharacteristic
1560C22C2×#58512yes—
1561C22H(7,𝔽2)12yes—
1562C4—22no—
1563C4—42no—
1564C4—42no—
1565C4—42no—
1566C4—42no—
1567C4—41no—
1568C4—41no—
1569C4—42no—
1570C4—42no—
1571C4—44no—
1572C4—44no—
1573C4—41no—
1574C4—41no—
1575C4—42no—
1576C4—42no—
1577C4—44no—
1578C4—42no—
1579C4—44no—
1580C4—42no—
1581C4—44no—
1582C4—42no—
1583C4—42no—
1584C4#353414yes—
1585C2—42no—
1586C2—44no—
1587C2—44no—
1588C2—82no—
1589C2—82no—
1590C2—84no—
1591C2C2×#353411yescharacteristic
1592C2#6291012yes—
1593C2#6295712yes—
1594C2#6301711yescharacteristic
1595C2#6304511yescharacteristic
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. #59568C2semidirect
2. #59308C2semidirect
3. #59026C2semidirect
4. #57965C2semidirect
5. #56678C2semidirect
6. #56571C2semidirect
7. #55612C2semidirect
8. #53701C2semidirect
9. #52975C2semidirect
10. #52410C2semidirect
11. #52163C2semidirect
12. #49845C2semidirect
13. #48149C2semidirect
14. #45508C2semidirect
15. #45214C2semidirect
16. #43046C2semidirect
17. #42971C2semidirect
18. #42759C2semidirect
19. #42718C2semidirect
20. #42502C2semidirect
21. #40886C2semidirect
22. #39908C2semidirect
23. #38904C2semidirect
24. #37845C2semidirect
25. #37648C2semidirect
26. #37513C2semidirect
27. #36011C2semidirect
28. #35728C2semidirect
29. #35618C2semidirect
31. C2×#555C22semidirect
32. C2×#546C22semidirect
35. C2×#525C22semidirect
36. C22×#121C22semidirect
37. C2×#520C22semidirect
38. #2848C22semidirect
39. #2847C22semidirect
40. #2835C22semidirect
41. #2832C22semidirect
42. #2831C22semidirect
43. #2831C22semidirect
44. #2828C22semidirect
45. #2828C22semidirect
46. #2827C22semidirect
47. #2827C22semidirect
48. #2824C22semidirect
49. #2819C22semidirect
50. #2812C22semidirect
51. #2797C22semidirect
52. #2797C22semidirect
53. #2796C22semidirect
55. #2778C22semidirect
56. #2772C22semidirect
57. #2769C22semidirect
58. #2764C22semidirect
59. #2757C22semidirect
60. #2753C22semidirect
61. #2750C22semidirect
62. #2750C22semidirect
63. #2749C22semidirect
64. #2749C22semidirect
65. #2749C22semidirect
66. #2746C22semidirect
67. #2743C22semidirect
68. #2740C22semidirect
69. #2737C22semidirect
70. #2735C22semidirect
71. #2735C22semidirect
72. #2732C22semidirect
73. #2730C22semidirect
75. #2728C22semidirect
76. #2728C22semidirect
77. #2724C22semidirect
78. #2720C22semidirect
79. #2712C22semidirect
80. #2711C22semidirect
81. #2711C22semidirect
82. #2708C22semidirect
83. #2708C22semidirect
84. #2700C22semidirect
85. #2700C22semidirect
86. #2699C22semidirect
87. #2699C22semidirect
88. #2697C22semidirect
89. #2692C22semidirect
90. #2690C22semidirect
91. #2688C22semidirect
92. #2688C22semidirect
93. #2688C22semidirect
94. #2688C22semidirect
95. #2686C22semidirect
97. #2684C22semidirect
98. #2682C22semidirect
99. #2681C22semidirect
101. #2676C22semidirect
102. #2675C22semidirect
103. #2675C22semidirect
104. #2671C22semidirect
105. #2670C22semidirect
109. #2668C22semidirect
110. #2668C22semidirect
111. #2653C22semidirect
112. #2652C22semidirect
113. #2651C22semidirect
114. #2648C22semidirect
115. #2639C22semidirect
116. #2635C22semidirect
117. #2635C22semidirect
118. #2633C22semidirect
119. #2631C22semidirect
120. #2628C22semidirect
121. #2628C22semidirect
122. #2622C22semidirect
123. #2620C22semidirect
124. #2620C22semidirect
125. #2619C22semidirect
126. #2618C22semidirect
127. #2615C22semidirect
128. #2609C22semidirect
129. #2591C22semidirect
130. #2589C22semidirect
132. #2576C22semidirect
133. #2572C22semidirect
134. #2572C22semidirect
135. #2570C22semidirect
136. #2568C22semidirect
137. #2557C22semidirect
138. #2557C22semidirect
139. #2555C22semidirect
140. #2555C22semidirect
141. #2555C22semidirect
142. #2548C22semidirect
143. #2547C22semidirect
144. #2543C22semidirect
145. #2543C22semidirect
146. #2540C22semidirect
149. #2536C22semidirect
152. #2518C22semidirect
153. #2510C22semidirect
154. #2506C22semidirect
155. #2504C22semidirect
156. #2504C22semidirect
157. #2503C22semidirect
158. #2500C22semidirect
159. #2500C22semidirect
160. #2499C22semidirect
161. #2495C22semidirect
162. #2495C22semidirect
163. #2495C22semidirect
164. #2494C22semidirect
165. #2493C22semidirect
166. #2492C22semidirect
167. #2491C22semidirect
168. #2490C22semidirect
170. #2485C22semidirect
171. #2485C22semidirect
172. #2484C22semidirect
173. #2483C22semidirect
174. #2477C22semidirect
175. #2476C22semidirect
176. #2474C22semidirect
177. #2472C22semidirect
178. #2472C22semidirect
179. #2472C22semidirect
180. #2472C22semidirect
181. #2471C22semidirect
182. #2470C22semidirect
184. #2459C22semidirect
185. #2452C22semidirect
186. #2452C22semidirect
187. #2447C22semidirect
188. #2444C22semidirect
189. #2444C22semidirect
190. #2444C22semidirect
191. #2440C22semidirect
192. #2439C22semidirect
193. #2437C22semidirect
194. #2435C22semidirect
195. #2428C22semidirect
196. #2428C22semidirect
197. #2427C22semidirect
198. #2427C22semidirect
199. #2426C22semidirect
200. #2424C22semidirect
201. #2424C22semidirect
202. #2424C22semidirect
203. #2421C22semidirect
204. #2421C22semidirect
205. #2420C22semidirect
206. #2420C22semidirect
207. #2420C22semidirect
208. #2420C22semidirect
209. #2417C22semidirect
210. #2416C22semidirect
211. #2416C22semidirect
212. #2415C22semidirect
213. #2414C22semidirect
214. #2414C22semidirect
215. #2411C22semidirect
216. #2410C22semidirect
217. #2410C22semidirect
218. #2410C22semidirect
222. #2408C22semidirect
223. #2407C22semidirect
225. #2395C22semidirect
226. #2395C22semidirect
227. #2395C22semidirect
229. #2392C22semidirect
231. #2375C22semidirect
232. #2364C22semidirect
233. #2363C22semidirect
234. #2362C22semidirect
235. #2357C22semidirect
236. #2357C22semidirect
237. #2352C22semidirect
238. #2352C22semidirect
239. #2349C22semidirect
240. D4×C4⋊C4C22semidirect
241. #2342C22semidirect
242. #2342C22semidirect
243. D4×C22⋊C4C22semidirect
244. D4×C22⋊C4C22semidirect
245. #2337C22semidirect
246. #2324C22semidirect
247. #2324C22semidirect
248. #2317C22semidirect
249. #2311C22semidirect
251. C4×#121C22semidirect
252. C4×#121C22semidirect
254. C4×#120C22semidirect
255. #2297C22semidirect
256. #2297C22semidirect
257. C2×#382C22semidirect
258. #2280C22semidirect

Maximal subgroups

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

subgroupindex
#595682
#593082
#590262
#579652
#566782
#565712
#556122
#537012
#529752
#524102
#521632
#498452
#481492
#455082
#452142
#430462
#429712
#427592
#427182
#425022
#408862
#399082
#389042
#378452
#376482
#375132
#360112
#357282
#356182