Finite Group Databasebeta

← #8701479

Subgroups — #8701479

Order 512.

5225 conjugacy classes of subgroups.

The subgroup lattice has 1565 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59945C212yesmaximal, complemented
2#59005C212yesmaximal, complemented
3#59000C211yesmaximal, characteristic, complemented
4#58998C211yesmaximal, characteristic, complemented
5#58996C212yesmaximal, complemented
6#55130C214yesmaximal, complemented
7#55071C214yesmaximal, complemented
8#54894C214yesmaximal, complemented
9#52301C211yesmaximal, characteristic, complemented
10#49945C214yesmaximal, complemented
11#49750C212yesmaximal, complemented
12#49685C214yesmaximal, complemented
13#48838C212yesmaximal, complemented
14#46073C211yesmaximal, characteristic, complemented
15#46043C212yesmaximal, complemented
16#45382C212yesmaximal, complemented
17#45170C212yesmaximal, complemented
18#45009C212yesmaximal, complemented
19#42815C212yesmaximal, complemented
20#42812C212yesmaximal, complemented
21#42680C212yesmaximal, complemented
22#39887C212yesmaximal, complemented
23#39594C211yesmaximal, characteristic, complemented
24#39120C211yesmaximal, characteristic, complemented
25#38917C212yesmaximal, complemented
26#37350C214yesmaximal, complemented
27#37150C212yesmaximal, complemented
28#36562C211yesmaximal, characteristic, complemented
29#36268C212yesmaximal, complemented
30C2×#557C2211yescharacteristic, complemented
31C2×#556C2212yescomplemented
32C2×#554C2211yescharacteristic
33C2×#552C2212yescomplemented
34C2×D4×Q8C2212yescomplemented
35C2×#548C2212yes—
36C2×#546C2212yes—
37C2×#525C2212yescomplemented
38C22×C22⋊Q8C2212yescomplemented
39C22×C22⋊Q8C2211yescharacteristic, complemented
40C22×#121C2211yescharacteristic, complemented
41#2862C2211yescharacteristic, complemented
42#2861C2212yescomplemented
43#2860C2214yescomplemented
44#2859C2212yescomplemented
45#2848C2211yescharacteristic, complemented
46#2848C2211yescharacteristic, complemented
47#2832C2214yescomplemented
48#2832C2212yescomplemented
49#2821C2214yescomplemented
50#2820C2214yescomplemented
51#2816C2214yescomplemented
52#2808C2214yescomplemented
53#2804C2211yescharacteristic
54#2804C2212yescomplemented
55#2785C2214yescomplemented
56#2785C2212yescomplemented
57#2784C2214yescomplemented
58#2783C2214yescomplemented
59#2783C2214yescomplemented
60#2782C2212yes—
61#2782C2212yescomplemented
62#2782C2214yescomplemented
63#2782C2212yescomplemented
64#2781C2214yes—
65#2775C2214yescomplemented
66#2775C2214yescomplemented
67#2769C2214yescomplemented
68#2763C2214yescomplemented
69#2763C2214yescomplemented
70#2753C2214yescomplemented
71#2753C2214yescomplemented
72#2744C2214yescomplemented
73#2737C2214yescomplemented
74#2737C2214yescomplemented
75#2736C2214yescomplemented
76#2723C2214yes—
77#2723C2214yescomplemented
78#2723C2214yescomplemented
79#2723C2214yescomplemented
80#2720C2214yescomplemented
81#2720C2214yescomplemented
82#2720C2214yescomplemented
83#2720C2214yescomplemented
84#2720C2214yescomplemented
85#2718C2214yescomplemented
86#2718C2214yescomplemented
87#2718C2214yescomplemented
88#2712C2214yescomplemented
89#2711C2214yescomplemented
90#2711C2214yescomplemented
91#2711C2214yescomplemented
92#2706C2214yescomplemented
93#2692C2214yes—
94#2692C2214yescomplemented
95#2692C2214yescomplemented
96#2686C2214yescomplemented
97#2685C2214yes—
98#2685C2214yes—
99#2685C2214yescomplemented
100#2684C2212yes—
101#2684C2211yescharacteristic
102#2684C2212yes—
103#2684C2211yescharacteristic
104#2684C2212yescomplemented
105#2683C2212yes—
106#2681C2214yescomplemented
107#2681C2214yescomplemented
108#2679C2212yes—
109#2679C2211yescharacteristic
110#2678C2214yescomplemented
111#2677C2212yescomplemented
112#2676C2214yes—
113#2676C2214yes—
114#2674C2214yescomplemented
115#2668C2212yescomplemented
116#2658C2212yescomplemented
117#2636C2214yescomplemented
118#2633C2214yescomplemented
119#2633C2214yescomplemented
120#2632C2214yescomplemented
121#2628C2214yescomplemented
122#2626C2214yescomplemented
123#2626C2212yescomplemented
124#2626C2212yescomplemented
125#2624C2214yescomplemented
126#2623C2214yescomplemented
127#2601C2214yescomplemented
128#2601C2214yescomplemented
129#2598C2214yescomplemented
130#2598C2214yescomplemented
131#2592C2212yescomplemented
132#2592C2212yescomplemented
133#2584C2212yescomplemented
134#2580C2214yescomplemented
135#2574C2214yescomplemented
136#2572C2214yescomplemented
137#2568C2212yescomplemented
138#2567C2211yescharacteristic, complemented
139#2566C2212yes—
140#2566C2214yescomplemented
141#2565C2212yescomplemented
142#2556C2214yescomplemented
143#2556C2214yescomplemented
144#2556C2214yescomplemented
145#2554C2214yescomplemented
146#2542C2212yes—
147#2542C2211yescharacteristic
148#2542C2212yescomplemented
149#2540C2212yes—
150#2540C2212yes—
151#2519C2214yescomplemented
152#2518C2214yes—
153#2518C2214yescomplemented
154#2508C2214yescomplemented
155#2502C2212yescomplemented
156#2500C2214yescomplemented
157#2497C2214yescomplemented
158#2495C2214yescomplemented
159#2492C2212yescomplemented
160#2491C2212yescomplemented
161#2490C2212yescomplemented
162#2489C2212yescomplemented
163#2489C2212yescomplemented
164#2489C2212yescomplemented
165#2487C2212yes—
166#2485C2214yescomplemented
167#2482C2214yescomplemented
168#2482C2214yescomplemented
169#2476C2214yescomplemented
170#2474C2214yescomplemented
171#2472C2214yes—
172#2472C2214yescomplemented
173#2463C2214yescomplemented
174#2461C2214yescomplemented
175#2455C2212yescomplemented
176#2452C2214yescomplemented
177#2449C2214yescomplemented
178#2449C2214yescomplemented
179#2443C2214yescomplemented
180#2440C2214yescomplemented
181#2437C2212yescomplemented
182#2437C2214yescomplemented
183#2436C2212yescomplemented
184#2436C2212yescomplemented
185#2435C2212yescomplemented
186#2435C2212yescomplemented
187#2435C2211yescharacteristic, complemented
188#2434C2212yescomplemented
189#2434C2211yescharacteristic, complemented
190#2434C2212yescomplemented
191#2432C2212yescomplemented
192#2432C2212yescomplemented
193#2432C2212yescomplemented
194#2429C2212yescomplemented
195#2429C2212yescomplemented
196#2429C2212yescomplemented
197#2429C2212yescomplemented
198#2429C2212yescomplemented
199#2429C2212yescomplemented
200#2427C2212yescomplemented
201#2427C2212yescomplemented
202#2426C2212yescomplemented
203#2426C2212yescomplemented
204#2426C2212yescomplemented
205#2426C2212yescomplemented
206#2424C2214yescomplemented
207#2422C2214yescomplemented
208#2420C2214yescomplemented
209#2418C2214yes—
210#2417C2212yes—
211#2417C2212yescomplemented
212#2416C2212yes—
213#2416C2214yes—
214#2416C2212yes—
215#2415C2212yes—
216#2415C2212yescomplemented
217#2411C2214yes—
218#2410C2214yes—
219#2409C2211yescharacteristic
220#2409C2212yescomplemented
221#2408C2212yes—
222#2408C2211yescharacteristic
223#2407C2212yes—
224#2398C2212yes—
225#2398C2212yescomplemented
226#2398C2212yescomplemented
227#2379C2214yescomplemented
228#2375C2212yes—
229#2363C2212yescomplemented
230#2362C2212yescomplemented
231#2361C2214yescomplemented
232#2361C2212yescomplemented
233#2360C2212yescomplemented
234#2360C2212yescomplemented
235#2360C2212yescomplemented
236#2358C2212yes—
237#2358C2212yes—
238#2347C2212yescomplemented
239#2345C2211yescharacteristic, complemented
240#2345C2211yescharacteristic, complemented
241#2344C2212yescomplemented
242D4×C22⋊C4C2214yescomplemented
243#2324C2214yescomplemented
244#2321C2212yes—
245#2321C2212yes—
246#2320C2212yescomplemented
247#2320C2212yescomplemented
248#2319C2212yescomplemented
249#2317C2214yescomplemented
250C4×#124C2212yes—
251C4×#124C2211yescharacteristic
252C4×#124C2212yescomplemented
253C4×#120C2212yes—
254C4×#120C2211yescharacteristic
255C4×#120C2211yescharacteristic
256C4×#120C2212yescomplemented
257#2293C2214yescomplemented
258C42×Q8C2211yescharacteristic, complemented
259C22×#41C2312yes—
260C23×Q8C2311yescharacteristic
261C23×Q8C2312yes—
262C23×D4C2312yes—
263C23×D4C2311yescharacteristic
264C24×C4C2311yescharacteristic
265C24×C4C2311yescharacteristic
266#557—44no—
267#556—48no—
268#554—44no—
269#552—48no—
270D4×Q8—48no—
271#548—48no—
272#546—48no—
273C2×C4⋊Q8C2314yes—
274C2×C4⋊Q8C2311yescharacteristic
275C2×C4⋊Q8C2312yes—
276C2×C4⋊Q8C2311yescharacteristic
277C2×C4⋊Q8C2312yes—
278C2×C4⋊Q8C2312yes—
279C2×#126C2314yes—
280C2×#126C2314yes—
281C2×#126C2314yes—
282C2×#125C2314yes—
283C2×#125C2312yes—
284C2×#125C2312yes—
285C2×#125C2314yes—
286C2×#125C2312yes—
287C2×#124C2311yescharacteristic
288C2×#124C2314yes—
289C2×#124C2312yes—
290C2×#124C2312yes—
291C2×#124C2312yes—
292C2×#124C2314yes—
293C2×#124C2312yes—
294C2×#124C2312yes—
295#525—48no—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×C22⋊Q8—48no—
300C2×C22⋊Q8—44no—
301C2×C22⋊Q8C2312yes—
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2312yes—
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2314yes—
306C2×C22⋊Q8C2312yes—
307C2×C22⋊Q8C2312yes—
308C2×C22⋊Q8C2311yescharacteristic
309C2×C22⋊Q8C2311yescharacteristic
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2314yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2314yes—
319C2×C22⋊Q8C2314yes—
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2314yes—
322C2×#121—44no—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#120C2311yescharacteristic
333C2×#120C2312yes—
334C2×#120C2311yescharacteristic
335C2×#120C2312yes—
336C2×#120C2314yes—
337C2×#120C2314yes—
338C2×#120C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2314yes—
349C2×C4×D4C2314yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×#117C2312yes—
359C2×#117C2314yes—
360C2×#117C2314yes—
361C2×#117C2314yes—
362C22×C4⋊C4C2312yes—
363C22×C4⋊C4C2311yescharacteristic
364C22×C4⋊C4C2311yescharacteristic
365C22×C4⋊C4C2314yes—
366C22×C4⋊C4C2312yes—
367C22×C22⋊C4C2312yes—
368C22×C22⋊C4C2312yes—
369C22×C22⋊C4C2314yes—
370C22×C22⋊C4C2314yes—
371#400C2312yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2312yes—
379#400C2312yes—
380#400C2312yes—
381#400C2312yes—
382#400C2312yes—
383#399C2314yes—
384#399C2314yes—
385#399C2314yes—
386#399C2314yes—
387#399C2314yes—
388#399C2314yes—
389#399C2314yes—
390#399C2314yes—
391#399C2314yes—
392#399C2312yes—
393#399C2312yes—
394#399C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#397C2312yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2312yes—
414#397C2312yes—
415#397C2312yes—
416#397C2312yes—
417#397C2312yes—
418#397C2314yes—
419#397C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#395C2314yes—
435#395C2314yes—
436#395C2314yes—
437#395C2314yes—
438#395C2314yes—
439#395C2314yes—
440#395C2312yes—
441#395C2314yes—
442#395C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2312yes—
454#394C2312yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2312yes—
463#394C2314yes—
464#394C2314yes—
465#394C2312yes—
466#394C2312yes—
467#394C2312yes—
468#394C2312yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#393C2312yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2312yes—
477#393C2314yes—
478#393C2312yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2312yes—
485#393C2312yes—
486#393C2312yes—
487#393C2312yes—
488#392C2314yes—
489#392C2314yes—
490#392C2312yes—
491#392C2314yes—
492#391C2311yescharacteristic
493#391C2312yes—
494#391C2314yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2314yes—
502#391C2312yes—
503#391C2312yes—
504#391C2314yes—
505#391C2312yes—
506#390C2311yescharacteristic
507#390C2312yes—
508#390C2314yes—
509#390C2314yes—
510#390C2312yes—
511#390C2312yes—
512#390C2314yes—
513#390C2314yes—
514#390C2314yes—
515#390C2314yes—
516#390C2314yes—
517#390C2314yes—
518#390C2312yes—
519#390C2312yes—
520#390C2314yes—
521#390C2314yes—
522#390C2314yes—
523#390C2314yes—
524#390C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2312yes—
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#388C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
581#388C2312yes—
582#388C2312yes—
583#388C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2311yescharacteristic
599#386C2312yes—
600#386C2314yes—
601#386C2314yes—
602#386C2312yes—
603#386C2314yes—
604#386C2314yes—
605#386C2312yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2311yescharacteristic
612#386C2312yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2312yes—
617#386C2312yes—
618#386C2312yes—
619#386C2312yes—
620#386C2312yes—
621#385C2314yes—
622#385C2314yes—
623#385C2312yes—
624#385C2312yes—
625#385C2314yes—
626#385C2314yes—
627#385C2312yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2312yes—
632#385C2312yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2312yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2311yescharacteristic
643#385C2314yes—
644#385C2312yes—
645#385C2312yes—
646#385C2314yes—
647#385C2314yes—
648#385C2312yes—
649#385C2312yes—
650#385C2312yes—
651#385C2312yes—
652#385C2312yes—
653#385C2311yescharacteristic
654#384C2312yes—
655#384C2312yes—
656#384C2314yes—
657#384C2314yes—
658#383C2314yes—
659#383C2314yes—
660#383C2314yes—
661#382C2314yes—
662#382C2312yes—
663#382C2314yes—
664#382C2314yes—
665#382C2314yes—
666#382C2314yes—
667#382C2314yes—
668#382C2311yescharacteristic
669#382C2312yes—
670#382C2312yes—
671#381C2314yes—
672#381C2314yes—
673#380C2314yes—
674#380C2314yes—
675#380C2314yes—
676#380C2312yes—
677#380C2311yescharacteristic
678#380C2311yescharacteristic
679#380C2312yes—
680#380C2312yes—
681#380C2312yes—
682#380C2314yes—
683#380C2314yes—
684#379C2312yes—
685#379C2312yes—
686#379C2312yes—
687#379C2312yes—
688#379C2314yes—
689#379C2311yescharacteristic
690#379C2314yes—
691#379C2312yes—
692#379C2312yes—
693#379C2311yescharacteristic
694#379C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2314yes—
697C4×C4⋊C4C2311yescharacteristic
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2314yes—
703C4×C4⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2311yescharacteristic
711C4×C22⋊C4C2311yescharacteristic
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720#376C2312yes—
721C43C2312yes—
722C43C2311yescharacteristic
723C25C2411yescharacteristic
724C25C2412yes—
725C25C2411yescharacteristic
726C2×#41—44no—
727C2×#41—44no—
728C2×#41—44no—
729C22×Q8—42no—
730C22×Q8—44no—
731C22×Q8—44no—
732C22×Q8—44no—
733C22×Q8—44no—
734C22×Q8C2411yescharacteristic
735C22×Q8C2412yes—
736C22×Q8C2412yes—
737C22×Q8C2411yescharacteristic
738C22×Q8C2412yes—
739C22×Q8C2414yes—
740C22×Q8C2412yes—
741C22×Q8C2412yes—
742C22×D4—42no—
743C22×D4—44no—
744C22×D4—44no—
745C22×D4—48no—
746C22×D4C2412yes—
747C22×D4C2412yes—
748C22×D4C2414yes—
749C22×D4C2412yes—
750C22×D4C2412yes—
751C22×D4C2414yes—
752C22×D4C2414yes—
753C22×D4C2412yes—
754C22×D4C2414yes—
755C22×D4C2414yes—
756C22×D4C2412yes—
757C22×D4C2411yescharacteristic
758C23×C4—42no—
759C23×C4—44no—
760C23×C4—42no—
761C23×C4—44no—
762C23×C4C2412yes—
763C23×C4C2411yescharacteristic
764C23×C4C2411yescharacteristic
765C23×C4C2412yes—
766C23×C4C2414yes—
767C23×C4C2412yes—
768C23×C4C2412yes—
769C23×C4C2414yes—
770C23×C4C2411yescharacteristic
771C23×C4C2414yes—
772C23×C4C2412yes—
773C23×C4C2414yes—
774C23×C4C2411yescharacteristic
775C23×C4C2412yes—
776C23×C4C2412yes—
777C4⋊Q8—48no—
778C4⋊Q8—42no—
779C4⋊Q8—44no—
780C4⋊Q8—44no—
781C4⋊Q8—44no—
782C4⋊Q8—42no—
783#126—48no—
784#126—48no—
785#126—48no—
786#125—48no—
787#125—44no—
788#125—44no—
789#125—48no—
790#125—44no—
791#124—24no—
792#124—48no—
793#124—44no—
794#124—44no—
795#124—44no—
796#124—44no—
797#124—48no—
798#124—44no—
799#123—48no—
800#123—48no—
801#123—48no—
802C22⋊Q8—28no—
803C22⋊Q8—28no—
804C22⋊Q8—28no—
805C22⋊Q8—28no—
806C22⋊Q8—48no—
807C22⋊Q8—48no—
808C22⋊Q8—48no—
809C22⋊Q8—48no—
810C22⋊Q8—48no—
811C22⋊Q8—48no—
812C22⋊Q8—44no—
813C22⋊Q8—44no—
814C22⋊Q8—48no—
815C22⋊Q8—44no—
816C22⋊Q8—44no—
817C22⋊Q8—44no—
818C22⋊Q8—44no—
819C22⋊Q8—44no—
820C22⋊Q8—44no—
821C22⋊Q8—42no—
822C22⋊Q8—42no—
823#121—28no—
824#121—28no—
825#121—48no—
826#121—48no—
827#121—48no—
828#121—44no—
829#121—44no—
830#121—48no—
831#121—48no—
832#120—24no—
833#120—24no—
834#120—28no—
835#120—48no—
836#120—48no—
837#120—44no—
838#120—44no—
839C4×Q8—28no—
840C4×Q8—28no—
841C4×Q8—28no—
842C4×Q8—24no—
843C4×Q8—44no—
844C4×Q8—44no—
845C4×Q8—42no—
846C4×D4—28no—
847C4×D4—48no—
848C4×D4—48no—
849C4×D4—48no—
850C4×D4—48no—
851C4×D4—44no—
852C4×D4—44no—
853C4×D4—44no—
854C4×D4—44no—
855C4×D4—44no—
856C4×D4—42no—
857C4×D4—48no—
858#117—28no—
859#117—48no—
860#117—48no—
861#117—48no—
862C2×C4⋊C4—24no—
863C2×C4⋊C4—28no—
864C2×C4⋊C4—24no—
865C2×C4⋊C4—44no—
866C2×C4⋊C4—48no—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2411yescharacteristic
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2411yescharacteristic
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C22⋊C4—44no—
920C2×C22⋊C4—48no—
921C2×C22⋊C4—44no—
922C2×C22⋊C4—48no—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2411yescharacteristic
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2411yescharacteristic
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2411yescharacteristic
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2411yescharacteristic
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2411yescharacteristic
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C42C2414yes—
992C2×C42C2414yes—
993C2×C42C2414yes—
994C2×C42C2412yes—
995C2×C42C2412yes—
996C2×C42C2414yes—
997C2×C42C2412yes—
998C2×C42C2412yes—
999C2×C42C2412yes—
1000C2×C42C2411yescharacteristic
1001C2×C42C2411yescharacteristic
1002C2×C42C2414yes—
1003C2×C42C2414yes—
1004C2×C42C2414yes—
1005C2×C42C2412yes—
1006C2×C42C2414yes—
1007C2×C42C2412yes—
1008C2×C42C2411yescharacteristic
1009#95C2412yes—
1010#95C2412yes—
1011#95C2412yes—
1012#95C2412yes—
1013#95C2412yes—
1014#95C2412yes—
1015#95C2412yes—
1016#95C2412yes—
1017#95C2412yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2412yes—
1022#95C2412yes—
1023#95C2412yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2412yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2412yes—
1048#95C2414yes—
1049#95C2412yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062C24—22no—
1063C24—24no—
1064C24—22no—
1065C24—24no—
1066C24—42no—
1067C24—41no—
1068C24—41no—
1069C24—41no—
1070C24—42no—
1071C24—42no—
1072C24—42no—
1073C24—41no—
1074C24—44no—
1075C24—44no—
1076C24—42no—
1077C24C2512yes—
1078C24C2514yes—
1079C24C2511yescharacteristic
1080C24C2511yescharacteristic
1081C24C2512yes—
1082#41—816no—
1083C2×Q8—24no—
1084C2×Q8—22no—
1085C2×Q8—24no—
1086C2×Q8—24no—
1087C2×Q8—24no—
1088C2×Q8—24no—
1089C2×Q8—24no—
1090C2×Q8—24no—
1091C2×Q8—22no—
1092C2×Q8—41no—
1093C2×Q8—41no—
1094C2×Q8—42no—
1095C2×Q8—44no—
1096C2×Q8—42no—
1097C2×Q8—44no—
1098C2×Q8—44no—
1099C2×Q8—44no—
1100C2×Q8—42no—
1101C2×Q8—42no—
1102C2×Q8—42no—
1103C2×Q8—44no—
1104C2×Q8—88no—
1105C2×Q8—816no—
1106C2×D4—24no—
1107C2×D4—28no—
1108C2×D4—24no—
1109C2×D4—24no—
1110C2×D4—28no—
1111C2×D4—24no—
1112C2×D4—24no—
1113C2×D4—28no—
1114C2×D4—24no—
1115C2×D4—28no—
1116C2×D4—24no—
1117C2×D4—24no—
1118C2×D4—28no—
1119C2×D4—41no—
1120C2×D4—42no—
1121C2×D4—44no—
1122C2×D4—41no—
1123C2×D4—42no—
1124C2×D4—44no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—44no—
1132C2×D4—42no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—42no—
1140C2×D4—88no—
1141C2×D4—816no—
1142C2×D42−1+414yes—
1143C22×C4—28no—
1144C22×C4—28no—
1145C22×C4—22no—
1146C22×C4—24no—
1147C22×C4—22no—
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—44no—
1159C22×C4—41no—
1160C22×C4—44no—
1161C22×C4—42no—
1162C22×C4—44no—
1163C22×C4—41no—
1164C22×C4—42no—
1165C22×C4—42no—
1166C22×C4—42no—
1167C22×C4—44no—
1168C22×C4—44no—
1169C22×C4—44no—
1170C22×C4—44no—
1171C22×C4—44no—
1172C22×C4—44no—
1173C22×C4—42no—
1174C22×C4—44no—
1175C22×C4—42no—
1176C22×C4—42no—
1177C22×C4—42no—
1178C22×C4—42no—
1179C22×C4—44no—
1180C22×C4—44no—
1181C22×C4—88no—
1182C22×C4—88no—
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2512yes—
1187C22×C4C2512yes—
1188C22×C4C2514yes—
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2511yescharacteristic
1193C22×C4C2514yes—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2514yes—
1198C22×C4C2514yes—
1199C22×C4C2512yes—
1200C22×C4C2511yescharacteristic
1201C22×C4C2511yescharacteristic
1202C22×C4C2512yes—
1203C22×C4C2514yes—
1204C22×C4C2512yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2511yescharacteristic
1207C4⋊C4—24no—
1208C4⋊C4—22no—
1209C4⋊C4—24no—
1210C4⋊C4—24no—
1211C4⋊C4—22no—
1212C4⋊C4—28no—
1213C4⋊C4—28no—
1214C4⋊C4—28no—
1215C4⋊C4—28no—
1216C4⋊C4—24no—
1217C4⋊C4—28no—
1218C4⋊C4—28no—
1219C4⋊C4—28no—
1220C4⋊C4—24no—
1221C4⋊C4—28no—
1222C4⋊C4—44no—
1223C4⋊C4—44no—
1224C4⋊C4—44no—
1225C4⋊C4—44no—
1226C4⋊C4—44no—
1227C4⋊C4—44no—
1228C4⋊C4—42no—
1229C4⋊C4—44no—
1230C4⋊C4—44no—
1231C4⋊C4—44no—
1232C4⋊C4—44no—
1233C4⋊C4—42no—
1234C4⋊C4—44no—
1235C4⋊C4—42no—
1236C4⋊C4—41no—
1237C4⋊C4—42no—
1238C4⋊C4—42no—
1239C4⋊C4—44no—
1240C4⋊C4—42no—
1241C4⋊C4—41no—
1242C4⋊C4—42no—
1243C4⋊C4—42no—
1244C4⋊C4—44no—
1245C4⋊C4—42no—
1246C4⋊C4—42no—
1247C4⋊C4—44no—
1248C4⋊C4—44no—
1249C4⋊C4—42no—
1250C4⋊C4—42no—
1251C4⋊C4—44no—
1252C4⋊C4—44no—
1253C4⋊C4—44no—
1254C4⋊C4—44no—
1255C4⋊C4—42no—
1256C4⋊C4—44no—
1257C4⋊C4H(5,𝔽2)14yes—
1258C4⋊C4H(5,𝔽2)18yes—
1259C22⋊C4—22no—
1260C22⋊C4—24no—
1261C22⋊C4—22no—
1262C22⋊C4—24no—
1263C22⋊C4—24no—
1264C22⋊C4—24no—
1265C22⋊C4—28no—
1266C22⋊C4—24no—
1267C22⋊C4—24no—
1268C22⋊C4—28no—
1269C22⋊C4—28no—
1270C22⋊C4—28no—
1271C22⋊C4—28no—
1272C22⋊C4—28no—
1273C22⋊C4—28no—
1274C22⋊C4—28no—
1275C22⋊C4—28no—
1276C22⋊C4—24no—
1277C22⋊C4—24no—
1278C22⋊C4—28no—
1279C22⋊C4—42no—
1280C22⋊C4—44no—
1281C22⋊C4—44no—
1282C22⋊C4—44no—
1283C22⋊C4—44no—
1284C22⋊C4—44no—
1285C22⋊C4—44no—
1286C22⋊C4—44no—
1287C22⋊C4—42no—
1288C22⋊C4—42no—
1289C22⋊C4—42no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—42no—
1293C22⋊C4—44no—
1294C22⋊C4—44no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—42no—
1298C22⋊C4—44no—
1299C22⋊C4—42no—
1300C22⋊C4—44no—
1301C22⋊C4—42no—
1302C22⋊C4—42no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—44no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—42no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—42no—
1327C42—28no—
1328C42—28no—
1329C42—28no—
1330C42—24no—
1331C42—24no—
1332C42—28no—
1333C42—24no—
1334C42—24no—
1335C42—24no—
1336C42—22no—
1337C42—22no—
1338C42—42no—
1339C42—41no—
1340C42—44no—
1341C42—44no—
1342C42—44no—
1343C42—42no—
1344C42—44no—
1345C23—22no—
1346C23—22no—
1347C23—22no—
1348C23—21no—
1349C23—22no—
1350C23—21no—
1351C23—22no—
1352C23—22no—
1353C23—22no—
1354C23—22no—
1355C23—22no—
1356C23—21no—
1357C23—22no—
1358C23—21no—
1359C23—22no—
1360C23—22no—
1361C23—24no—
1362C23—24no—
1363C23—24no—
1364C23—22no—
1365C23—22no—
1366C23—24no—
1367C23—22no—
1368C23—24no—
1369C23—22no—
1370C23—24no—
1371C23—24no—
1372C23—22no—
1373C23—44no—
1374C23—48no—
1375C23—44no—
1376C23—84no—
1377C23—82no—
1378C23—84no—
1379C23—88no—
1380C23—84no—
1381C23—82no—
1382C23—82no—
1383C23—82no—
1384C23—84no—
1385C23—84no—
1386C23—84no—
1387C23—164no—
1388C23C2×2−1+412yes—
1389C23C2×2−1+412yes—
1390C23#58514yes—
1391C23C2611yescharacteristic
1392Q8—44no—
1393Q8—44no—
1394Q8—48no—
1395Q8—48no—
1396Q8—84no—
1397Q8—88no—
1398Q8—84no—
1399Q8—162no—
1400D4—44no—
1401D4—416no—
1402D4—48no—
1403D4—48no—
1404D4—88no—
1405D4—88no—
1406D4—84no—
1407D4—84no—
1408D4—84no—
1409D4—88no—
1410D4—84no—
1411D4—88no—
1412C2×C4—21no—
1413C2×C4—24no—
1414C2×C4—24no—
1415C2×C4—21no—
1416C2×C4—24no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—24no—
1423C2×C4—22no—
1424C2×C4—24no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—21no—
1429C2×C4—22no—
1430C2×C4—24no—
1431C2×C4—24no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—24no—
1435C2×C4—24no—
1436C2×C4—24no—
1437C2×C4—24no—
1438C2×C4—24no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—24no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—24no—
1457C2×C4—22no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—24no—
1461C2×C4—22no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—24no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—416no—
1472C2×C4—44no—
1473C2×C4—48no—
1474C2×C4—44no—
1475C2×C4—48no—
1476C2×C4—84no—
1477C2×C4—88no—
1478C2×C4—84no—
1479C2×C4—82no—
1480C2×C4—84no—
1481C2×C4—84no—
1482C2×C4—82no—
1483C2×C4—88no—
1484C2×C4—84no—
1485C2×C4—88no—
1486C2×C4C2×H(5,𝔽2)18yes—
1487C2×C4C2×H(5,𝔽2)14yes—
1488C2×C4C2×H(5,𝔽2)14yes—
1489C2×C4C2×H(5,𝔽2)12yes—
1490C2×C4C2×2−1+412yes—
1491C22—24no—
1492C22—24no—
1493C22—24no—
1494C22—24no—
1495C22—22no—
1496C22—22no—
1497C22—24no—
1498C22—42no—
1499C22—41no—
1500C22—41no—
1501C22—42no—
1502C22—41no—
1503C22—41no—
1504C22—42no—
1505C22—42no—
1506C22—42no—
1507C22—42no—
1508C22—42no—
1509C22—44no—
1510C22—42no—
1511C22—44no—
1512C22—42no—
1513C22—44no—
1514C22—44no—
1515C22—42no—
1516C22—42no—
1517C22—44no—
1518C22—44no—
1519C22—42no—
1520C22—42no—
1521C22—44no—
1522C22—88no—
1523C22—88no—
1524C22—168no—
1525C22C22×H(5,𝔽2)12yes—
1526C22C22×H(5,𝔽2)11yescharacteristic
1527C22C22×2−1+411yescharacteristic
1528C22C2×#58512yes—
1529C222−1+611yescharacteristic
1530C4—24no—
1531C4—22no—
1532C4—28no—
1533C4—42no—
1534C4—41no—
1535C4—42no—
1536C4—41no—
1537C4—44no—
1538C4—44no—
1539C4—42no—
1540C4—42no—
1541C4—42no—
1542C4—42no—
1543C4—44no—
1544C4—42no—
1545C4—42no—
1546C4—42no—
1547C4—41no—
1548C4—42no—
1549C4—44no—
1550C4—42no—
1551C4—42no—
1552C4—42no—
1553C4#354914yes—
1554C2—42no—
1555C2—44no—
1556C2—42no—
1557C2—82no—
1558C2—84no—
1559C2C2×#354911yescharacteristic
1560C2#6289311yescharacteristic
1561C2#6289812yes—
1562C2#6301512yes—
1563C2#6301711yescharacteristic
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. #59945C2semidirect
2. #59005C2semidirect
3. #59000C2semidirect
4. #58998C2semidirect
5. #58996C2semidirect
6. #55130C2semidirect
7. #55071C2semidirect
8. #54894C2semidirect
9. #52301C2semidirect
10. #49945C2semidirect
11. #49750C2semidirect
12. #49685C2semidirect
13. #48838C2semidirect
14. #46073C2semidirect
15. #46043C2semidirect
16. #45382C2semidirect
17. #45170C2semidirect
18. #45009C2semidirect
19. #42815C2semidirect
20. #42812C2semidirect
21. #42680C2semidirect
22. #39887C2semidirect
23. #39594C2semidirect
24. #39120C2semidirect
25. #38917C2semidirect
26. #37350C2semidirect
27. #37150C2semidirect
28. #36562C2semidirect
29. #36268C2semidirect
30. C2×#557C22semidirect
31. C2×#556C22semidirect
33. C2×#552C22semidirect
34. C2×D4×Q8C22semidirect
37. C2×#525C22semidirect
38. C22×C22⋊Q8C22semidirect
39. C22×C22⋊Q8C22semidirect
40. C22×#121C22semidirect
41. #2862C22semidirect
42. #2861C22semidirect
43. #2860C22semidirect
44. #2859C22semidirect
45. #2848C22semidirect
46. #2848C22semidirect
47. #2832C22semidirect
48. #2832C22semidirect
49. #2821C22semidirect
50. #2820C22semidirect
51. #2816C22semidirect
52. #2808C22semidirect
54. #2804C22semidirect
55. #2785C22semidirect
56. #2785C22semidirect
57. #2784C22semidirect
58. #2783C22semidirect
59. #2783C22semidirect
61. #2782C22semidirect
62. #2782C22semidirect
63. #2782C22semidirect
65. #2775C22semidirect
66. #2775C22semidirect
67. #2769C22semidirect
68. #2763C22semidirect
69. #2763C22semidirect
70. #2753C22semidirect
71. #2753C22semidirect
72. #2744C22semidirect
73. #2737C22semidirect
74. #2737C22semidirect
75. #2736C22semidirect
77. #2723C22semidirect
78. #2723C22semidirect
79. #2723C22semidirect
80. #2720C22semidirect
81. #2720C22semidirect
82. #2720C22semidirect
83. #2720C22semidirect
84. #2720C22semidirect
85. #2718C22semidirect
86. #2718C22semidirect
87. #2718C22semidirect
88. #2712C22semidirect
89. #2711C22semidirect
90. #2711C22semidirect
91. #2711C22semidirect
92. #2706C22semidirect
94. #2692C22semidirect
95. #2692C22semidirect
96. #2686C22semidirect
99. #2685C22semidirect
104. #2684C22semidirect
106. #2681C22semidirect
107. #2681C22semidirect
110. #2678C22semidirect
111. #2677C22semidirect
114. #2674C22semidirect
115. #2668C22semidirect
116. #2658C22semidirect
117. #2636C22semidirect
118. #2633C22semidirect
119. #2633C22semidirect
120. #2632C22semidirect
121. #2628C22semidirect
122. #2626C22semidirect
123. #2626C22semidirect
124. #2626C22semidirect
125. #2624C22semidirect
126. #2623C22semidirect
127. #2601C22semidirect
128. #2601C22semidirect
129. #2598C22semidirect
130. #2598C22semidirect
131. #2592C22semidirect
132. #2592C22semidirect
133. #2584C22semidirect
134. #2580C22semidirect
135. #2574C22semidirect
136. #2572C22semidirect
137. #2568C22semidirect
138. #2567C22semidirect
140. #2566C22semidirect
141. #2565C22semidirect
142. #2556C22semidirect
143. #2556C22semidirect
144. #2556C22semidirect
145. #2554C22semidirect
148. #2542C22semidirect
151. #2519C22semidirect
153. #2518C22semidirect
154. #2508C22semidirect
155. #2502C22semidirect
156. #2500C22semidirect
157. #2497C22semidirect
158. #2495C22semidirect
159. #2492C22semidirect
160. #2491C22semidirect
161. #2490C22semidirect
162. #2489C22semidirect
163. #2489C22semidirect
164. #2489C22semidirect
166. #2485C22semidirect
167. #2482C22semidirect
168. #2482C22semidirect
169. #2476C22semidirect
170. #2474C22semidirect
172. #2472C22semidirect
173. #2463C22semidirect
174. #2461C22semidirect
175. #2455C22semidirect
176. #2452C22semidirect
177. #2449C22semidirect
178. #2449C22semidirect
179. #2443C22semidirect
180. #2440C22semidirect
181. #2437C22semidirect
182. #2437C22semidirect
183. #2436C22semidirect
184. #2436C22semidirect
185. #2435C22semidirect
186. #2435C22semidirect
187. #2435C22semidirect
188. #2434C22semidirect
189. #2434C22semidirect
190. #2434C22semidirect
191. #2432C22semidirect
192. #2432C22semidirect
193. #2432C22semidirect
194. #2429C22semidirect
195. #2429C22semidirect
196. #2429C22semidirect
197. #2429C22semidirect
198. #2429C22semidirect
199. #2429C22semidirect
200. #2427C22semidirect
201. #2427C22semidirect
202. #2426C22semidirect
203. #2426C22semidirect
204. #2426C22semidirect
205. #2426C22semidirect
206. #2424C22semidirect
207. #2422C22semidirect
208. #2420C22semidirect
211. #2417C22semidirect
216. #2415C22semidirect
220. #2409C22semidirect
225. #2398C22semidirect
226. #2398C22semidirect
227. #2379C22semidirect
229. #2363C22semidirect
230. #2362C22semidirect
231. #2361C22semidirect
232. #2361C22semidirect
233. #2360C22semidirect
234. #2360C22semidirect
235. #2360C22semidirect
238. #2347C22semidirect
239. #2345C22semidirect
240. #2345C22semidirect
241. #2344C22semidirect
242. D4×C22⋊C4C22semidirect
243. #2324C22semidirect
246. #2320C22semidirect
247. #2320C22semidirect
248. #2319C22semidirect
249. #2317C22semidirect
252. C4×#124C22semidirect
256. C4×#120C22semidirect
257. #2293C22semidirect
258. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#599452
#590052
#590002
#589982
#589962
#551302
#550712
#548942
#523012
#499452
#497502
#496852
#488382
#460732
#460432
#453822
#451702
#450092
#428152
#428122
#426802
#398872
#395942
#391202
#389172
#373502
#371502
#365622
#362682