Finite Group Databasebeta

← #7696922

Subgroups — #7696922

Order 512.

5817 conjugacy classes of subgroups.

The subgroup lattice has 1559 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59940C212yesmaximal, complemented
2#59933C211yesmaximal, characteristic, complemented
3#59376C211yesmaximal, characteristic, complemented
4#59370C212yesmaximal, complemented
5#59199C211yesmaximal, characteristic, complemented
6#59193C212yesmaximal, complemented
7#52185C211yesmaximal, characteristic, complemented
8C2×#2748C212yesmaximal, complemented
9#45393C212yesmaximal, complemented
10#45283C212yesmaximal, complemented
11#44918C212yesmaximal, complemented
12#44024C214yesmaximal, complemented
13#43975C214yesmaximal, complemented
14#43200C214yesmaximal, complemented
15#39041C212yesmaximal, complemented
16#39037C214yesmaximal, complemented
17#38249C212yesmaximal, complemented
18#38247C214yesmaximal, complemented
19#37854C214yesmaximal, complemented
20#37851C212yesmaximal, complemented
21#36289C211yesmaximal, characteristic, complemented
22#36236C211yesmaximal, characteristic, complemented
23#36212C211yesmaximal, characteristic
24#35987C212yesmaximal, complemented
25#35914C212yesmaximal, complemented
26#35806C212yesmaximal, complemented
27#34288C212yesmaximal, complemented
28#34260C212yesmaximal, complemented
29#34175C212yesmaximal, complemented
30C23×#41C2211yescharacteristic
31C2×#554C2211yescharacteristic, complemented
32C2×#546C2212yes—
33C2×D42C2211yescharacteristic
34C2×#520C2212yes—
35C2×#520C2212yes—
36C22×C4×D4C2211yescharacteristic, complemented
37#2858C2211yescharacteristic, complemented
38#2854C2211yescharacteristic, complemented
39#2850C2212yescomplemented
40#2849C2212yes—
41#2849C2212yescomplemented
42#2847C2211yescharacteristic
43#2799C2212yescomplemented
44#2798C2214yescomplemented
45#2797C2214yescomplemented
46#2786C2214yescomplemented
47#2764C2214yescomplemented
48#2763C2212yescomplemented
49#2761C2214yescomplemented
50#2757C2214yescomplemented
51#2754C2214yescomplemented
52#2749C2214yescomplemented
53#2748C2212yes—
54#2748C2212yes—
55#2748C2211yescharacteristic
56#2748C2212yes—
57#2748C2214yescomplemented
58#2748C2214yescomplemented
59#2748C2214yescomplemented
60#2748C2214yescomplemented
61#2748C2214yescomplemented
62#2748C2214yescomplemented
63#2747C2214yescomplemented
64#2747C2212yescomplemented
65#2746C2212yescomplemented
66#2745C2212yescomplemented
67#2744C2212yescomplemented
68#2743C2214yescomplemented
69#2743C2212yescomplemented
70#2742C2212yescomplemented
71#2741C2214yescomplemented
72#2741C2214yescomplemented
73#2740C2214yescomplemented
74#2735C2212yescomplemented
75#2730C2214yescomplemented
76#2722C2214yescomplemented
77#2717C2211yescharacteristic
78#2717C2214yescomplemented
79#2706C2214yescomplemented
80#2705C2214yescomplemented
81#2697C2211yescharacteristic
82#2684C2211yescharacteristic
83#2644C2212yescomplemented
84#2643C2214yescomplemented
85#2629C2212yescomplemented
86#2627C2214yescomplemented
87#2624C2212yescomplemented
88#2623C2214yescomplemented
89#2612C2212yescomplemented
90#2607C2212yescomplemented
91#2603C2214yescomplemented
92#2603C2214yescomplemented
93#2601C2214yescomplemented
94#2589C2214yescomplemented
95#2582C2212yescomplemented
96#2579C2214yescomplemented
97#2578C2214yescomplemented
98#2578C2214yescomplemented
99#2577C2214yescomplemented
100#2574C2214yescomplemented
101#2565C2212yescomplemented
102#2564C2214yescomplemented
103#2563C2211yescharacteristic
104#2557C2214yescomplemented
105#2554C2214yescomplemented
106#2553C2214yescomplemented
107#2553C2214yescomplemented
108#2548C2211yescharacteristic, complemented
109#2534C2214yescomplemented
110#2531C2214yescomplemented
111#2531C2214yescomplemented
112#2530C2214yescomplemented
113#2527C2214yescomplemented
114#2522C2214yescomplemented
115#2521C2214yescomplemented
116#2521C2214yescomplemented
117#2520C2214yescomplemented
118#2518C2214yescomplemented
119#2512C2212yescomplemented
120#2512C2212yescomplemented
121#2512C2212yescomplemented
122#2505C2214yescomplemented
123#2504C2211yescharacteristic, complemented
124#2504C2212yescomplemented
125#2501C2212yescomplemented
126#2498C2214yescomplemented
127#2498C2214yescomplemented
128#2497C2212yescomplemented
129#2497C2212yescomplemented
130#2497C2212yescomplemented
131#2490C2212yes—
132#2490C2212yescomplemented
133#2487C2211yescharacteristic
134#2487C2212yescomplemented
135#2482C2214yescomplemented
136#2481C2214yescomplemented
137#2481C2214yescomplemented
138#2481C2214yescomplemented
139#2480C2214yescomplemented
140#2480C2214yescomplemented
141#2480C2214yescomplemented
142#2472C2214yes—
143#2472C2214yescomplemented
144#2471C2214yescomplemented
145#2467C2214yescomplemented
146#2461C2214yescomplemented
147#2453C2212yescomplemented
148#2451C2212yescomplemented
149#2450C2214yescomplemented
150#2449C2214yescomplemented
151#2448C2212yescomplemented
152#2448C2212yescomplemented
153#2445C2212yescomplemented
154#2444C2214yescomplemented
155#2443C2214yescomplemented
156#2443C2214yescomplemented
157#2442C2212yescomplemented
158#2440C2212yescomplemented
159#2438C2214yescomplemented
160#2438C2214yescomplemented
161#2437C2212yescomplemented
162#2436C2211yescharacteristic
163#2435C2212yes—
164#2431C2212yes—
165#2430C2214yes—
166#2423C2212yescomplemented
167#2423C2212yescomplemented
168#2420C2212yes—
169#2419C2214yescomplemented
170#2418C2214yes—
171#2418C2214yescomplemented
172#2418C2214yescomplemented
173#2417C2214yescomplemented
174#2412C2212yescomplemented
175#2411C2214yescomplemented
176#2410C2212yes—
177#2409C2211yescharacteristic
178#2407C2212yes—
179#2405C2212yes—
180#2404C2214yes—
181#2403C2212yes—
182#2401C2212yescomplemented
183#2396C2212yescomplemented
184#2395C2212yescomplemented
185C2×#399C2214yescomplemented
186C2×#398C2214yescomplemented
187C2×#396C2214yescomplemented
188#2374C2212yes—
189#2372C2212yes—
190#2367C2212yescomplemented
191#2361C2212yescomplemented
192#2361C2214yescomplemented
193#2360C2212yescomplemented
194#2359C2214yescomplemented
195#2358C2212yes—
196#2358C2214yescomplemented
197#2356C2212yescomplemented
198#2355C2212yescomplemented
199#2353C2214yescomplemented
200#2352C2214yescomplemented
201#2349C2212yescomplemented
202D4×C4⋊C4C2212yescomplemented
203D4×C4⋊C4C2212yescomplemented
204D4×C4⋊C4C2212yescomplemented
205D4×C4⋊C4C2212yescomplemented
206#2345C2212yescomplemented
207#2344C2212yescomplemented
208#2343C2214yescomplemented
209#2343C2214yescomplemented
210#2342C2214yescomplemented
211#2341C2212yescomplemented
212#2341C2212yescomplemented
213Q8×C22⋊C4C2212yescomplemented
214Q8×C22⋊C4C2212yescomplemented
215#2339C2212yes—
216#2339C2212yes—
217#2339C2212yes—
218#2339C2214yescomplemented
219#2339C2214yescomplemented
220D4×C22⋊C4C2211yescharacteristic
221D4×C22⋊C4C2212yes—
222D4×C22⋊C4C2212yes—
223D4×C22⋊C4C2214yescomplemented
224D4×C22⋊C4C2214yescomplemented
225D4×C22⋊C4C2211yescharacteristic, complemented
226D4×C22⋊C4C2212yescomplemented
227#2326C2212yescomplemented
228#2325C2214yescomplemented
229#2324C2212yescomplemented
230#2322C2214yescomplemented
231#2320C2212yescomplemented
232#2318C2214yescomplemented
233#2314C2212yescomplemented
234#2313C2214yescomplemented
235#2311C2212yescomplemented
236#2311C2214yescomplemented
237#2311C2212yescomplemented
238#2311C2214yescomplemented
239C4×#124C2211yescharacteristic
240C4×C22⋊Q8C2212yescomplemented
241C4×#123C2211yescharacteristic
242C4×#120C2211yescharacteristic
243C4×#120C2214yescomplemented
244#2298C2212yescomplemented
245#2295C2212yescomplemented
246C2×#390C2212yes—
247#2290C2214yescomplemented
248#2290C2212yescomplemented
249C2×#387C2214yescomplemented
250C2×#386C2212yes—
251C2×#386C2212yes—
252C2×#385C2214yescomplemented
253#2280C2214yescomplemented
254#2280C2212yescomplemented
255C2×#380C2212yescomplemented
256C2×#380C2214yescomplemented
257#2275C2212yescomplemented
258C42×D4C2211yescharacteristic, complemented
259C22×#41—216no—
260C22×#41—44no—
261C22×#41C2314yes—
262C22×#41C2312yes—
263C22×#41C2312yes—
264C23×Q8C2311yescharacteristic
265C23×D4C2311yescharacteristic
266C23×D4C2311yescharacteristic
267C23×D4C2312yes—
268C23×D4C2312yes—
269C24×C4C2311yescharacteristic
270C24×C4C2312yes—
271C24×C4C2312yes—
272#554—44no—
273#546—216no—
274D42—44no—
275C2×C4⋊Q8C2311yescharacteristic
276C2×#127C2311yescharacteristic
277C2×#126C2314yes—
278C2×#126C2314yes—
279C2×#126C2314yes—
280C2×#125C2312yes—
281C2×#124C2312yes—
282C2×#124C2311yescharacteristic
283C2×#124C2312yes—
284C2×#124C2314yes—
285C2×#123C2314yes—
286C2×#123C2311yescharacteristic
287C2×#123C2314yes—
288C2×#123C2312yes—
289C2×#123C2314yes—
290C2×#123C2314yes—
291C2×C22⋊Q8C2312yes—
292C2×C22⋊Q8C2312yes—
293C2×C22⋊Q8C2314yes—
294C2×C22⋊Q8C2314yes—
295C2×#121C2312yes—
296C2×#121C2314yes—
297C2×#121C2311yescharacteristic
298C2×#121C2312yes—
299C2×#121C2311yescharacteristic
300C2×#120C2311yescharacteristic
301C2×#120C2314yes—
302C2×#120C2312yes—
303C2×#120C2312yes—
304C2×#120C2312yes—
305#520—216no—
306#520—48no—
307C2×C4×Q8C2312yes—
308C2×C4×Q8C2312yes—
309C2×C4×Q8C2312yes—
310C2×C4×Q8C2312yes—
311C2×C4×Q8C2311yescharacteristic
312C2×C4×D4—44no—
313C2×C4×D4C2314yes—
314C2×C4×D4C2312yes—
315C2×C4×D4C2312yes—
316C2×C4×D4C2312yes—
317C2×C4×D4C2312yes—
318C2×C4×D4C2312yes—
319C2×C4×D4C2314yes—
320C2×C4×D4C2311yescharacteristic
321C2×C4×D4C2312yes—
322C2×C4×D4C2311yescharacteristic
323C2×C4×D4C2314yes—
324C2×C4×D4C2314yes—
325C2×C4×D4C2312yes—
326C2×C4×D4C2314yes—
327C2×C4×D4C2314yes—
328C2×C4×D4C2314yes—
329C2×#117C2312yes—
330C2×#117C2314yes—
331C2×#117C2312yes—
332C2×#117C2314yes—
333C2×#117C2314yes—
334C22×C4⋊C4C2314yes—
335C22×C4⋊C4C2312yes—
336C22×C4⋊C4C2314yes—
337C22×C4⋊C4C2312yes—
338C22×C4⋊C4C2312yes—
339C22×C4⋊C4C2311yescharacteristic
340C22×C4⋊C4C2314yes—
341C22×C4⋊C4C2314yes—
342C22×C4⋊C4C2314yes—
343C22×C22⋊C4C2314yes—
344C22×C22⋊C4C2312yes—
345C22×C22⋊C4C2314yes—
346C22×C22⋊C4C2314yes—
347C22×C22⋊C4C2312yes—
348C22×C22⋊C4C2314yes—
349C22×C22⋊C4C2314yes—
350C22×C22⋊C4C2312yes—
351C22×C42C2311yescharacteristic
352C22×C42C2312yes—
353#401C2312yes—
354#400C2314yes—
355#400C2314yes—
356#400C2314yes—
357#400C2314yes—
358#400C2314yes—
359#400C2312yes—
360#400C2312yes—
361#400C2314yes—
362#400C2312yes—
363#400C2312yes—
364#400C2312yes—
365#400C2312yes—
366#399C2314yes—
367#399C2314yes—
368#399C2314yes—
369#399C2314yes—
370#399C2314yes—
371#399C2312yes—
372#399C2314yes—
373#399C2314yes—
374#399C2314yes—
375#399C2312yes—
376#399C2312yes—
377#398C2314yes—
378#398C2314yes—
379#398C2314yes—
380#398C2314yes—
381#398C2314yes—
382#398C2314yes—
383#398C2314yes—
384#398C2314yes—
385#398C2312yes—
386#398C2314yes—
387#398C2312yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2312yes—
392#397C2314yes—
393#397C2314yes—
394#397C2312yes—
395#397C2312yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2312yes—
405#397C2312yes—
406#397C2312yes—
407#397C2312yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#396C2314yes—
412#396C2312yes—
413#396C2314yes—
414#396C2314yes—
415#396C2314yes—
416#396C2312yes—
417#396C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2312yes—
423#395C2314yes—
424#395C2314yes—
425#395C2312yes—
426#395C2312yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2312yes—
431#394C2314yes—
432#394C2314yes—
433#394C2312yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#393C2312yes—
439#393C2312yes—
440#393C2312yes—
441#393C2312yes—
442#393C2314yes—
443#392C2314yes—
444#392C2314yes—
445#392C2314yes—
446#391C2312yes—
447#391C2312yes—
448#391C2312yes—
449#391C2312yes—
450#391C2312yes—
451#391C2314yes—
452#391C2314yes—
453#391C2314yes—
454#391C2314yes—
455#391C2314yes—
456#391C2312yes—
457#391C2314yes—
458#391C2311yescharacteristic
459#390C2312yes—
460#390C2312yes—
461#390C2312yes—
462#390C2312yes—
463#390C2312yes—
464#390C2314yes—
465#390C2314yes—
466#390C2314yes—
467#390C2314yes—
468#390C2312yes—
469#390C2314yes—
470#390C2312yes—
471#390C2312yes—
472#390C2312yes—
473#390C2312yes—
474#390C2312yes—
475#390C2314yes—
476#390C2314yes—
477#390C2311yescharacteristic
478#390C2312yes—
479#389C2312yes—
480#389C2312yes—
481#389C2314yes—
482#389C2314yes—
483#389C2312yes—
484#389C2314yes—
485#389C2312yes—
486#389C2312yes—
487#389C2314yes—
488#389C2312yes—
489#389C2312yes—
490#389C2312yes—
491#388C2314yes—
492#388C2314yes—
493#388C2312yes—
494#388C2312yes—
495#388C2314yes—
496#388C2314yes—
497#388C2314yes—
498#388C2314yes—
499#388C2314yes—
500#388C2314yes—
501#388C2314yes—
502#388C2314yes—
503#388C2314yes—
504#388C2314yes—
505#388C2312yes—
506#388C2314yes—
507#388C2314yes—
508#388C2314yes—
509#388C2312yes—
510#388C2314yes—
511#388C2314yes—
512#388C2314yes—
513#388C2312yes—
514#388C2312yes—
515#388C2312yes—
516#388C2314yes—
517#388C2314yes—
518#388C2312yes—
519#388C2314yes—
520#388C2314yes—
521#388C2314yes—
522#388C2312yes—
523#387C2314yes—
524#387C2314yes—
525#387C2314yes—
526#387C2314yes—
527#387C2312yes—
528#387C2314yes—
529#387C2314yes—
530#387C2314yes—
531#387C2314yes—
532#387C2314yes—
533#387C2314yes—
534#387C2314yes—
535#387C2314yes—
536#387C2314yes—
537#387C2314yes—
538#387C2312yes—
539#387C2314yes—
540#387C2314yes—
541#387C2314yes—
542#387C2314yes—
543#387C2314yes—
544#387C2312yes—
545#387C2312yes—
546#387C2314yes—
547#387C2314yes—
548#387C2314yes—
549#387C2314yes—
550#387C2314yes—
551#387C2312yes—
552#387C2312yes—
553#387C2312yes—
554#387C2314yes—
555#386C2312yes—
556#386C2314yes—
557#386C2314yes—
558#386C2314yes—
559#386C2314yes—
560#386C2314yes—
561#386C2314yes—
562#386C2314yes—
563#386C2314yes—
564#386C2314yes—
565#386C2314yes—
566#386C2314yes—
567#386C2314yes—
568#386C2314yes—
569#386C2314yes—
570#386C2314yes—
571#386C2312yes—
572#386C2312yes—
573#386C2314yes—
574#386C2314yes—
575#386C2314yes—
576#386C2314yes—
577#386C2314yes—
578#386C2314yes—
579#386C2312yes—
580#386C2314yes—
581#386C2314yes—
582#386C2312yes—
583#386C2314yes—
584#386C2314yes—
585#386C2314yes—
586#386C2312yes—
587#386C2312yes—
588#386C2312yes—
589#386C2312yes—
590#386C2312yes—
591#386C2312yes—
592#386C2311yescharacteristic
593#386C2314yes—
594#386C2311yescharacteristic
595#385C2312yes—
596#385C2314yes—
597#385C2314yes—
598#385C2314yes—
599#385C2312yes—
600#385C2314yes—
601#385C2314yes—
602#385C2314yes—
603#385C2314yes—
604#385C2314yes—
605#385C2314yes—
606#385C2314yes—
607#385C2314yes—
608#385C2314yes—
609#385C2314yes—
610#385C2311yescharacteristic
611#385C2311yescharacteristic
612#385C2312yes—
613#385C2314yes—
614#385C2314yes—
615#385C2314yes—
616#385C2314yes—
617#385C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2312yes—
621#385C2312yes—
622#385C2314yes—
623#384C2312yes—
624#384C2312yes—
625#384C2312yes—
626#383C2314yes—
627#383C2314yes—
628#382C2312yes—
629#382C2312yes—
630#382C2314yes—
631#382C2314yes—
632#382C2311yescharacteristic
633#381C2314yes—
634#381C2314yes—
635#381C2314yes—
636#381C2314yes—
637#381C2314yes—
638#381C2312yes—
639#381C2312yes—
640#381C2311yescharacteristic
641#380C2312yes—
642#380C2312yes—
643#380C2314yes—
644#380C2314yes—
645#380C2314yes—
646#380C2314yes—
647#380C2312yes—
648#380C2314yes—
649#380C2312yes—
650#380C2314yes—
651#380C2314yes—
652#380C2314yes—
653#380C2312yes—
654#380C2312yes—
655#380C2314yes—
656#380C2314yes—
657#380C2314yes—
658#380C2311yescharacteristic
659#380C2312yes—
660#380C2314yes—
661#380C2311yescharacteristic
662#380C2312yes—
663#380C2314yes—
664#380C2314yes—
665#380C2314yes—
666#380C2312yes—
667#380C2314yes—
668#380C2312yes—
669#379C2312yes—
670#379C2312yes—
671#379C2314yes—
672#379C2314yes—
673#379C2312yes—
674#379C2312yes—
675#379C2314yes—
676#379C2311yescharacteristic
677C4×C4⋊C4C2311yescharacteristic
678C4×C4⋊C4C2312yes—
679C4×C4⋊C4C2312yes—
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2314yes—
682C4×C4⋊C4C2312yes—
683C4×C4⋊C4C2314yes—
684C4×C4⋊C4C2314yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C22⋊C4C2314yes—
690C4×C22⋊C4C2314yes—
691C4×C22⋊C4C2314yes—
692C4×C22⋊C4C2314yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2312yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2311yescharacteristic
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2311yescharacteristic
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2314yes—
710#376C2312yes—
711#376C2314yes—
712#376C2314yes—
713C2×#95C2314yes—
714C2×#95C2314yes—
715C2×#95C2314yes—
716C2×#95C2314yes—
717C2×#95C2314yes—
718C2×#95C2314yes—
719C43C2311yescharacteristic
720C25C2412yes—
721C25C2412yes—
722C25C2411yescharacteristic
723C2×#41—28no—
724C2×#41—28no—
725C2×#41—216no—
726C2×#41—28no—
727C2×#41—216no—
728C2×#41—28no—
729C2×#41—48no—
730C2×#41—44no—
731C2×#41—464no—
732C2×#41#41116yes—
733C22×Q8—28no—
734C22×Q8—42no—
735C22×Q8C2412yes—
736C22×Q8C2412yes—
737C22×Q8C2411yescharacteristic
738C22×Q8C2412yes—
739C22×D4—28no—
740C22×D4—216no—
741C22×D4—28no—
742C22×D4—24no—
743C22×D4—24no—
744C22×D4—28no—
745C22×D4—44no—
746C22×D4—44no—
747C22×D4—82no—
748C22×D4C2412yes—
749C22×D4C2411yescharacteristic
750C22×D4C2412yes—
751C22×D4C2411yescharacteristic
752C22×D4C2412yes—
753C22×D4C2414yes—
754C22×D4C2414yes—
755C22×D4C2414yes—
756C22×D4C2412yes—
757C22×D4C2412yes—
758C22×D4C2412yes—
759C22×D4C2412yes—
760C22×D4C2411yescharacteristic
761C22×D4C2411yescharacteristic
762C23×C4—216no—
763C23×C4—28no—
764C23×C4—42no—
765C23×C4—44no—
766C23×C4—44no—
767C23×C4—84no—
768C23×C4C2411yescharacteristic
769C23×C4C2411yescharacteristic
770C23×C4C2412yes—
771C23×C4C2411yescharacteristic
772C23×C4C2412yes—
773C23×C4C2412yes—
774C23×C4C2414yes—
775C23×C4C2414yes—
776C23×C4C2412yes—
777C23×C4C2414yes—
778C23×C4C2414yes—
779C23×C4C2414yes—
780C23×C4C2414yes—
781C23×C4C2411yescharacteristic
782C23×C4C2414yes—
783C23×C4C2414yes—
784C23×C4C2414yes—
785C23×C4C2412yes—
786C23×C4C2414yes—
787C23×C4C2411yescharacteristic
788C4⋊Q8—42no—
789#127—42no—
790#126—84no—
791#126—84no—
792#126—84no—
793#125—44no—
794#124—28no—
795#124—24no—
796#124—82no—
797#124—84no—
798#123—24no—
799#123—216no—
800#123—84no—
801#123—84no—
802#123—84no—
803#123—82no—
804C22⋊Q8—28no—
805C22⋊Q8—44no—
806C22⋊Q8—48no—
807C22⋊Q8—84no—
808#121—216no—
809#121—28no—
810#121—42no—
811#121—42no—
812#121—44no—
813#120—216no—
814#120—24no—
815#120—44no—
816#120—44no—
817#120—82no—
818C4×Q8—28no—
819C4×Q8—28no—
820C4×Q8—42no—
821C4×Q8—44no—
822C4×Q8—44no—
823C4×D4—216no—
824C4×D4—216no—
825C4×D4—28no—
826C4×D4—28no—
827C4×D4—28no—
828C4×D4—28no—
829C4×D4—28no—
830C4×D4—24no—
831C4×D4—28no—
832C4×D4—44no—
833C4×D4—42no—
834C4×D4—48no—
835C4×D4—48no—
836C4×D4—48no—
837C4×D4—84no—
838C4×D4—84no—
839#117—216no—
840#117—28no—
841#117—44no—
842#117—48no—
843#117—84no—
844C2×C4⋊C4—216no—
845C2×C4⋊C4—28no—
846C2×C4⋊C4—42no—
847C2×C4⋊C4—44no—
848C2×C4⋊C4—48no—
849C2×C4⋊C4—44no—
850C2×C4⋊C4—84no—
851C2×C4⋊C4—84no—
852C2×C4⋊C4—84no—
853C2×C4⋊C4C2412yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2412yes—
856C2×C4⋊C4C2412yes—
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2411yescharacteristic
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2411yescharacteristic
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2414yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C22⋊C4—216no—
901C2×C22⋊C4—44no—
902C2×C22⋊C4—84no—
903C2×C22⋊C4—84no—
904C2×C22⋊C4—84no—
905C2×C22⋊C4—84no—
906C2×C22⋊C4—82no—
907C2×C22⋊C4—82no—
908C2×C22⋊C4C2412yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2412yes—
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2412yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2411yescharacteristic
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2411yescharacteristic
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2411yescharacteristic
933C2×C22⋊C4C2411yescharacteristic
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2411yescharacteristic
955C2×C22⋊C4C2411yescharacteristic
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C42—42no—
970C2×C42—82no—
971C2×C42C2412yes—
972C2×C42C2412yes—
973C2×C42C2412yes—
974C2×C42C2414yes—
975C2×C42C2414yes—
976C2×C42C2412yes—
977C2×C42C2411yescharacteristic
978C2×C42C2412yes—
979C2×C42C2411yescharacteristic
980C2×C42C2414yes—
981C2×C42C2414yes—
982C2×C42C2414yes—
983C2×C42C2414yes—
984C2×C42C2412yes—
985C2×C42C2414yes—
986C2×C42C2414yes—
987C2×C42C2412yes—
988C2×C42C2412yes—
989C2×C42C2411yescharacteristic
990#95C2412yes—
991#95C2412yes—
992#95C2414yes—
993#95C2414yes—
994#95C2412yes—
995#95C2412yes—
996#95C2412yes—
997#95C2414yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2412yes—
1013#95C2414yes—
1014#95C2412yes—
1015#95C2412yes—
1016#95C2412yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2412yes—
1021#95C2412yes—
1022#95C2412yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2412yes—
1026#95C2414yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2414yes—
1031#95C2412yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2412yes—
1051C24—24no—
1052C24—24no—
1053C24—28no—
1054C24—24no—
1055C24—28no—
1056C24—24no—
1057C24—24no—
1058C24—22no—
1059C24—44no—
1060C24—42no—
1061C24—44no—
1062C24—42no—
1063C24—42no—
1064C24—41no—
1065C24—41no—
1066C24C2512yes—
1067C24C2512yes—
1068C24C2512yes—
1069C24C2511yescharacteristic
1070C24C2511yescharacteristic
1071C24C2512yes—
1072#41—264no—
1073#41—464no—
1074#41—432no—
1075C2×Q8—24no—
1076C2×Q8—28no—
1077C2×Q8—24no—
1078C2×Q8—22no—
1079C2×Q8—42no—
1080C2×Q8—41no—
1081C2×Q8—41no—
1082C2×Q8—42no—
1083C2×Q8—44no—
1084C2×Q8—416no—
1085C2×Q8C2×#4118yes—
1086C2×D4—28no—
1087C2×D4—28no—
1088C2×D4—24no—
1089C2×D4—28no—
1090C2×D4—28no—
1091C2×D4—28no—
1092C2×D4—24no—
1093C2×D4—24no—
1094C2×D4—24no—
1095C2×D4—28no—
1096C2×D4—24no—
1097C2×D4—24no—
1098C2×D4—24no—
1099C2×D4—28no—
1100C2×D4—24no—
1101C2×D4—22no—
1102C2×D4—22no—
1103C2×D4—24no—
1104C2×D4—41no—
1105C2×D4—42no—
1106C2×D4—44no—
1107C2×D4—41no—
1108C2×D4—44no—
1109C2×D4—42no—
1110C2×D4—42no—
1111C2×D4—44no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—42no—
1116C2×D4—42no—
1117C2×D4—44no—
1118C2×D4—432no—
1119C2×D4—416no—
1120C2×D4—416no—
1121C2×D4—816no—
1122C2×D4C2×#41116yes—
1123C2×D4C2×#4118yes—
1124C2×D4H(5,𝔽2)14yes—
1125C2×D42−1+414yes—
1126C22×C4—28no—
1127C22×C4—28no—
1128C22×C4—24no—
1129C22×C4—24no—
1130C22×C4—24no—
1131C22×C4—24no—
1132C22×C4—28no—
1133C22×C4—28no—
1134C22×C4—28no—
1135C22×C4—28no—
1136C22×C4—28no—
1137C22×C4—28no—
1138C22×C4—22no—
1139C22×C4—24no—
1140C22×C4—24no—
1141C22×C4—28no—
1142C22×C4—24no—
1143C22×C4—28no—
1144C22×C4—28no—
1145C22×C4—24no—
1146C22×C4—22no—
1147C22×C4—22no—
1148C22×C4—24no—
1149C22×C4—41no—
1150C22×C4—42no—
1151C22×C4—41no—
1152C22×C4—42no—
1153C22×C4—44no—
1154C22×C4—42no—
1155C22×C4—42no—
1156C22×C4—432no—
1157C22×C4—416no—
1158C22×C4—41no—
1159C22×C4—44no—
1160C22×C4—42no—
1161C22×C4—44no—
1162C22×C4—44no—
1163C22×C4—44no—
1164C22×C4—44no—
1165C22×C4—44no—
1166C22×C4—44no—
1167C22×C4—44no—
1168C22×C4—44no—
1169C22×C4—44no—
1170C22×C4—44no—
1171C22×C4—44no—
1172C22×C4—44no—
1173C22×C4—44no—
1174C22×C4—44no—
1175C22×C4—41no—
1176C22×C4—44no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—44no—
1180C22×C4—816no—
1181C22×C4C2×#41116yes—
1182C22×C4C2×#4118yes—
1183C22×C4C2511yescharacteristic
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2512yes—
1187C22×C4C2512yes—
1188C22×C4C2511yescharacteristic
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2514yes—
1192C22×C4C2512yes—
1193C22×C4C2512yes—
1194C22×C4C2514yes—
1195C22×C4C2511yescharacteristic
1196C22×C4C2514yes—
1197C22×C4C2512yes—
1198C22×C4C2514yes—
1199C22×C4C2512yes—
1200C22×C4C2514yes—
1201C22×C4C2512yes—
1202C22×C4C2514yes—
1203C22×C4C2512yes—
1204C22×C4C2511yescharacteristic
1205C22×C4C2511yescharacteristic
1206C4⋊C4—24no—
1207C4⋊C4—28no—
1208C4⋊C4—28no—
1209C4⋊C4—28no—
1210C4⋊C4—24no—
1211C4⋊C4—24no—
1212C4⋊C4—24no—
1213C4⋊C4—24no—
1214C4⋊C4—24no—
1215C4⋊C4—28no—
1216C4⋊C4—24no—
1217C4⋊C4—24no—
1218C4⋊C4—22no—
1219C4⋊C4—24no—
1220C4⋊C4—42no—
1221C4⋊C4—44no—
1222C4⋊C4—41no—
1223C4⋊C4—42no—
1224C4⋊C4—44no—
1225C4⋊C4—44no—
1226C4⋊C4—44no—
1227C4⋊C4—42no—
1228C4⋊C4—42no—
1229C4⋊C4—42no—
1230C4⋊C4—42no—
1231C4⋊C4—44no—
1232C4⋊C4—44no—
1233C4⋊C4—44no—
1234C4⋊C4—44no—
1235C4⋊C4—44no—
1236C4⋊C4—44no—
1237C4⋊C4—44no—
1238C4⋊C4—44no—
1239C4⋊C4—44no—
1240C4⋊C4—42no—
1241C4⋊C4—44no—
1242C4⋊C4—41no—
1243C4⋊C4—44no—
1244C4⋊C4—42no—
1245C4⋊C4—44no—
1246C4⋊C4—44no—
1247C4⋊C4—42no—
1248C4⋊C4—44no—
1249C4⋊C4—44no—
1250C4⋊C4—42no—
1251C4⋊C4—42no—
1252C4⋊C4—42no—
1253C22⋊C4—24no—
1254C22⋊C4—24no—
1255C22⋊C4—28no—
1256C22⋊C4—28no—
1257C22⋊C4—28no—
1258C22⋊C4—24no—
1259C22⋊C4—28no—
1260C22⋊C4—28no—
1261C22⋊C4—24no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—24no—
1265C22⋊C4—24no—
1266C22⋊C4—24no—
1267C22⋊C4—24no—
1268C22⋊C4—28no—
1269C22⋊C4—28no—
1270C22⋊C4—28no—
1271C22⋊C4—28no—
1272C22⋊C4—24no—
1273C22⋊C4—44no—
1274C22⋊C4—42no—
1275C22⋊C4—42no—
1276C22⋊C4—44no—
1277C22⋊C4—44no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—42no—
1281C22⋊C4—44no—
1282C22⋊C4—44no—
1283C22⋊C4—42no—
1284C22⋊C4—44no—
1285C22⋊C4—44no—
1286C22⋊C4—44no—
1287C22⋊C4—44no—
1288C22⋊C4—42no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—44no—
1292C22⋊C4—44no—
1293C22⋊C4—44no—
1294C22⋊C4—42no—
1295C22⋊C4—42no—
1296C22⋊C4—42no—
1297C22⋊C4—44no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—42no—
1301C22⋊C4—44no—
1302C22⋊C4—42no—
1303C22⋊C4—42no—
1304C22⋊C4—42no—
1305C22⋊C4—42no—
1306C22⋊C4—44no—
1307C22⋊C4—42no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C42—28no—
1315C42—28no—
1316C42—24no—
1317C42—24no—
1318C42—24no—
1319C42—24no—
1320C42—24no—
1321C42—22no—
1322C42—22no—
1323C42—42no—
1324C42—41no—
1325C42—44no—
1326C42—42no—
1327C42—44no—
1328C42—44no—
1329C42—44no—
1330C42—44no—
1331C42—44no—
1332C42—42no—
1333C23—22no—
1334C23—24no—
1335C23—22no—
1336C23—22no—
1337C23—22no—
1338C23—22no—
1339C23—22no—
1340C23—21no—
1341C23—21no—
1342C23—22no—
1343C23—22no—
1344C23—22no—
1345C23—22no—
1346C23—22no—
1347C23—21no—
1348C23—21no—
1349C23—22no—
1350C23—24no—
1351C23—24no—
1352C23—22no—
1353C23—22no—
1354C23—22no—
1355C23—22no—
1356C23—24no—
1357C23—22no—
1358C23—24no—
1359C23—22no—
1360C23—44no—
1361C23—48no—
1362C23—48no—
1363C23—416no—
1364C23—416no—
1365C23—48no—
1366C23—48no—
1367C23—48no—
1368C23—84no—
1369C23—84no—
1370C23—88no—
1371C23—88no—
1372C23—84no—
1373C23—82no—
1374C23—82no—
1375C23C22×#4114yes—
1376C23C22×#4118yes—
1377C23C2×H(5,𝔽2)14yes—
1378C23C2×2−1+412yes—
1379C23C2×2−1+412yes—
1380C23C2611yescharacteristic
1381Q8—216no—
1382Q8—48no—
1383Q8—82no—
1384Q8—162no—
1385D4—232no—
1386D4—44no—
1387D4—416no—
1388D4—48no—
1389D4—48no—
1390D4—48no—
1391D4—44no—
1392D4—44no—
1393D4—84no—
1394D4—88no—
1395D4—84no—
1396D4—84no—
1397D4—162no—
1398D4#551116yes—
1399C2×C4—22no—
1400C2×C4—24no—
1401C2×C4—21no—
1402C2×C4—24no—
1403C2×C4—22no—
1404C2×C4—21no—
1405C2×C4—232no—
1406C2×C4—216no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—24no—
1412C2×C4—22no—
1413C2×C4—24no—
1414C2×C4—22no—
1415C2×C4—24no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—21no—
1422C2×C4—22no—
1423C2×C4—21no—
1424C2×C4—24no—
1425C2×C4—24no—
1426C2×C4—22no—
1427C2×C4—21no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—24no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—24no—
1442C2×C4—24no—
1443C2×C4—24no—
1444C2×C4—24no—
1445C2×C4—24no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—24no—
1451C2×C4—22no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—24no—
1457C2×C4—24no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—44no—
1462C2×C4—48no—
1463C2×C4—416no—
1464C2×C4—48no—
1465C2×C4—48no—
1466C2×C4—44no—
1467C2×C4—44no—
1468C2×C4—44no—
1469C2×C4—88no—
1470C2×C4—88no—
1471C2×C4—88no—
1472C2×C4—88no—
1473C2×C4—88no—
1474C2×C4—82no—
1475C2×C4—88no—
1476C2×C4—88no—
1477C2×C4—84no—
1478C2×C4—164no—
1479C2×C4C22×#4118yes—
1480C2×C4C22×#4114yes—
1481C2×C4C22×#4114yes—
1482C2×C4C2×H(5,𝔽2)12yes—
1483C2×C4C2×2−1+412yes—
1484C22—28no—
1485C22—24no—
1486C22—28no—
1487C22—24no—
1488C22—24no—
1489C22—24no—
1490C22—24no—
1491C22—24no—
1492C22—22no—
1493C22—22no—
1494C22—24no—
1495C22—42no—
1496C22—41no—
1497C22—42no—
1498C22—41no—
1499C22—42no—
1500C22—42no—
1501C22—42no—
1502C22—42no—
1503C22—41no—
1504C22—41no—
1505C22—44no—
1506C22—44no—
1507C22—42no—
1508C22—42no—
1509C22—44no—
1510C22—44no—
1511C22—42no—
1512C22—42no—
1513C22—42no—
1514C22—42no—
1515C22—816no—
1516C22—816no—
1517C22—88no—
1518C22C2×#55118yes—
1519C22C23×#4112yes—
1520C22C22×H(5,𝔽2)11yescharacteristic
1521C22C22×2−1+411yescharacteristic
1522C22H(7,𝔽2)12yes—
1523C22H(7,𝔽2)11yescharacteristic
1524C4—22no—
1525C4—24no—
1526C4—28no—
1527C4—42no—
1528C4—42no—
1529C4—42no—
1530C4—42no—
1531C4—42no—
1532C4—44no—
1533C4—44no—
1534C4—41no—
1535C4—42no—
1536C4—44no—
1537C4—42no—
1538C4—44no—
1539C4—42no—
1540C4—44no—
1541C4—42no—
1542C4—42no—
1543C4—42no—
1544C4—41no—
1545C4—41no—
1546C4C2×#55114yes—
1547C2—28no—
1548C2—44no—
1549C2—42no—
1550C2—42no—
1551C2—82no—
1552C2—82no—
1553C2C22×#55111yescharacteristic
1554C2#6285812yes—
1555C2#6289411yescharacteristic
1556C2#6300012yes—
1557C2#6304111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36212C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59940C2semidirect
2. #59933C2semidirect
3. #59376C2semidirect
4. #59370C2semidirect
5. #59199C2semidirect
6. #59193C2semidirect
7. #52185C2semidirect
8. C2×#2748C2semidirect
9. #45393C2semidirect
10. #45283C2semidirect
11. #44918C2semidirect
12. #44024C2semidirect
13. #43975C2semidirect
14. #43200C2semidirect
15. #39041C2semidirect
16. #39037C2semidirect
17. #38249C2semidirect
18. #38247C2semidirect
19. #37854C2semidirect
20. #37851C2semidirect
21. #36289C2semidirect
22. #36236C2semidirect
24. #35987C2semidirect
25. #35914C2semidirect
26. #35806C2semidirect
27. #34288C2semidirect
28. #34260C2semidirect
29. #34175C2semidirect
31. C2×#554C22semidirect
36. C22×C4×D4C22semidirect
37. #2858C22semidirect
38. #2854C22semidirect
39. #2850C22semidirect
41. #2849C22semidirect
43. #2799C22semidirect
44. #2798C22semidirect
45. #2797C22semidirect
46. #2786C22semidirect
47. #2764C22semidirect
48. #2763C22semidirect
49. #2761C22semidirect
50. #2757C22semidirect
51. #2754C22semidirect
52. #2749C22semidirect
57. #2748C22semidirect
58. #2748C22semidirect
59. #2748C22semidirect
60. #2748C22semidirect
61. #2748C22semidirect
62. #2748C22semidirect
63. #2747C22semidirect
64. #2747C22semidirect
65. #2746C22semidirect
66. #2745C22semidirect
67. #2744C22semidirect
68. #2743C22semidirect
69. #2743C22semidirect
70. #2742C22semidirect
71. #2741C22semidirect
72. #2741C22semidirect
73. #2740C22semidirect
74. #2735C22semidirect
75. #2730C22semidirect
76. #2722C22semidirect
78. #2717C22semidirect
79. #2706C22semidirect
80. #2705C22semidirect
83. #2644C22semidirect
84. #2643C22semidirect
85. #2629C22semidirect
86. #2627C22semidirect
87. #2624C22semidirect
88. #2623C22semidirect
89. #2612C22semidirect
90. #2607C22semidirect
91. #2603C22semidirect
92. #2603C22semidirect
93. #2601C22semidirect
94. #2589C22semidirect
95. #2582C22semidirect
96. #2579C22semidirect
97. #2578C22semidirect
98. #2578C22semidirect
99. #2577C22semidirect
100. #2574C22semidirect
101. #2565C22semidirect
102. #2564C22semidirect
104. #2557C22semidirect
105. #2554C22semidirect
106. #2553C22semidirect
107. #2553C22semidirect
108. #2548C22semidirect
109. #2534C22semidirect
110. #2531C22semidirect
111. #2531C22semidirect
112. #2530C22semidirect
113. #2527C22semidirect
114. #2522C22semidirect
115. #2521C22semidirect
116. #2521C22semidirect
117. #2520C22semidirect
118. #2518C22semidirect
119. #2512C22semidirect
120. #2512C22semidirect
121. #2512C22semidirect
122. #2505C22semidirect
123. #2504C22semidirect
124. #2504C22semidirect
125. #2501C22semidirect
126. #2498C22semidirect
127. #2498C22semidirect
128. #2497C22semidirect
129. #2497C22semidirect
130. #2497C22semidirect
132. #2490C22semidirect
134. #2487C22semidirect
135. #2482C22semidirect
136. #2481C22semidirect
137. #2481C22semidirect
138. #2481C22semidirect
139. #2480C22semidirect
140. #2480C22semidirect
141. #2480C22semidirect
143. #2472C22semidirect
144. #2471C22semidirect
145. #2467C22semidirect
146. #2461C22semidirect
147. #2453C22semidirect
148. #2451C22semidirect
149. #2450C22semidirect
150. #2449C22semidirect
151. #2448C22semidirect
152. #2448C22semidirect
153. #2445C22semidirect
154. #2444C22semidirect
155. #2443C22semidirect
156. #2443C22semidirect
157. #2442C22semidirect
158. #2440C22semidirect
159. #2438C22semidirect
160. #2438C22semidirect
161. #2437C22semidirect
166. #2423C22semidirect
167. #2423C22semidirect
169. #2419C22semidirect
171. #2418C22semidirect
172. #2418C22semidirect
173. #2417C22semidirect
174. #2412C22semidirect
175. #2411C22semidirect
182. #2401C22semidirect
183. #2396C22semidirect
184. #2395C22semidirect
185. C2×#399C22semidirect
186. C2×#398C22semidirect
187. C2×#396C22semidirect
190. #2367C22semidirect
191. #2361C22semidirect
192. #2361C22semidirect
193. #2360C22semidirect
194. #2359C22semidirect
196. #2358C22semidirect
197. #2356C22semidirect
198. #2355C22semidirect
199. #2353C22semidirect
200. #2352C22semidirect
201. #2349C22semidirect
202. D4×C4⋊C4C22semidirect
203. D4×C4⋊C4C22semidirect
204. D4×C4⋊C4C22semidirect
205. D4×C4⋊C4C22semidirect
206. #2345C22semidirect
207. #2344C22semidirect
208. #2343C22semidirect
209. #2343C22semidirect
210. #2342C22semidirect
211. #2341C22semidirect
212. #2341C22semidirect
213. Q8×C22⋊C4C22semidirect
214. Q8×C22⋊C4C22semidirect
218. #2339C22semidirect
219. #2339C22semidirect
223. D4×C22⋊C4C22semidirect
224. D4×C22⋊C4C22semidirect
225. D4×C22⋊C4C22semidirect
226. D4×C22⋊C4C22semidirect
227. #2326C22semidirect
228. #2325C22semidirect
229. #2324C22semidirect
230. #2322C22semidirect
231. #2320C22semidirect
232. #2318C22semidirect
233. #2314C22semidirect
234. #2313C22semidirect
235. #2311C22semidirect
236. #2311C22semidirect
237. #2311C22semidirect
238. #2311C22semidirect
240. C4×C22⋊Q8C22semidirect
243. C4×#120C22semidirect
244. #2298C22semidirect
245. #2295C22semidirect
247. #2290C22semidirect
248. #2290C22semidirect
249. C2×#387C22semidirect
252. C2×#385C22semidirect
253. #2280C22semidirect
254. #2280C22semidirect
255. C2×#380C22semidirect
256. C2×#380C22semidirect
257. #2275C22semidirect
258. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#599402
#599332
#593762
#593702
#591992
#591932
#521852
C2×#27482
#453932
#452832
#449182
#440242
#439752
#432002
#390412
#390372
#382492
#382472
#378542
#378512
#362892
#362362
#362122
#359872
#359142
#358062
#342882
#342602
#341752