Finite Group Databasebeta

← #7979673

Subgroups — #7979673

Order 512.

5009 conjugacy classes of subgroups.

The subgroup lattice has 1798 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59863C211yesmaximal, characteristic, complemented
2#59645C212yesmaximal, complemented
3#59202C212yesmaximal, complemented
4#59135C211yesmaximal, characteristic, complemented
5#59034C211yesmaximal, characteristic, complemented
6#50527C214yesmaximal, complemented
7#49261C214yesmaximal, complemented
8#46054C212yesmaximal, complemented
9#45701C212yesmaximal, complemented
10#45125C212yesmaximal, complemented
11#44909C212yesmaximal, complemented
12#44147C214yesmaximal, complemented
13#42990C212yesmaximal, complemented
14#42671C212yesmaximal, complemented
15#41503C214yesmaximal, complemented
16#40008C212yesmaximal, complemented
17#40001C212yesmaximal, complemented
18#39934C212yesmaximal, complemented
19#39515C211yesmaximal, characteristic, complemented
20#39471C211yesmaximal, characteristic, complemented
21#39218C212yesmaximal, complemented
22#37845C212yesmaximal, complemented
23#36459C211yesmaximal, characteristic, complemented
24#36415C211yesmaximal, characteristic, complemented
25#36399C212yesmaximal, complemented
26#36315C211yesmaximal, characteristic, complemented
27#36160C211yesmaximal, characteristic, complemented
28#36129C211yesmaximal, characteristic, complemented
29#35289C211yesmaximal, characteristic, complemented
30#35207C211yesmaximal, characteristic, complemented
31#35137C212yesmaximal, complemented
32#34946C211yesmaximal, characteristic, complemented
33#34681C211yesmaximal, characteristic, complemented
34#34361C212yesmaximal, complemented
35C4×#555C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#555C2211yescharacteristic
38C2×#547C2211yescharacteristic, complemented
39C2×#533C2211yescharacteristic
40C2×#532C2211yescharacteristic
41C22×C4⋊Q8C2211yescharacteristic, complemented
42C2×#525C2212yes—
43C22×C4×D4C2211yescharacteristic
44#2862C2211yescharacteristic, complemented
45#2862C2212yescomplemented
46#2861C2212yes—
47#2860C2212yescomplemented
48#2858C2212yes—
49#2857C2211yescharacteristic
50#2857C2211yescharacteristic, complemented
51#2854C2212yes—
52#2851C2212yescomplemented
53#2850C2212yes—
54#2847C2212yes—
55#2837C2214yes—
56#2828C2214yes—
57#2808C2214yescomplemented
58#2803C2214yescomplemented
59#2799C2214yescomplemented
60#2798C2214yescomplemented
61#2798C2214yescomplemented
62#2797C2214yescomplemented
63#2781C2214yescomplemented
64#2778C2214yescomplemented
65#2778C2214yescomplemented
66#2762C2214yescomplemented
67#2759C2214yescomplemented
68#2756C2214yes—
69#2756C2214yes—
70#2753C2214yes—
71#2751C2214yes—
72#2749C2214yes—
73#2735C2214yes—
74#2733C2214yes—
75#2731C2214yescomplemented
76#2715C2214yescomplemented
77#2714C2214yescomplemented
78#2712C2214yes—
79#2710C2214yescomplemented
80#2703C2214yes—
81#2703C2214yescomplemented
82#2700C2214yes—
83#2697C2214yes—
84#2696C2214yes—
85#2688C2214yes—
86#2684C2214yes—
87#2670C2214yes—
88#2670C2214yes—
89#2668C2214yes—
90#2653C2214yescomplemented
91#2653C2214yescomplemented
92#2652C2214yescomplemented
93#2650C2214yescomplemented
94#2650C2214yescomplemented
95#2648C2214yescomplemented
96#2640C2214yescomplemented
97#2628C2212yescomplemented
98#2615C2212yescomplemented
99#2610C2214yescomplemented
100#2597C2214yescomplemented
101#2595C2214yescomplemented
102#2592C2212yes—
103#2592C2214yescomplemented
104#2581C2212yescomplemented
105#2578C2214yescomplemented
106#2576C2214yes—
107#2576C2214yescomplemented
108#2563C2211yescharacteristic
109#2563C2211yescharacteristic
110#2563C2211yescharacteristic
111#2563C2211yescharacteristic, complemented
112#2563C2211yescharacteristic, complemented
113#2563C2211yescharacteristic, complemented
114#2562C2212yes—
115#2562C2212yes—
116#2561C2214yes—
117#2560C2214yes—
118#2557C2214yescomplemented
119#2557C2214yescomplemented
120#2557C2214yescomplemented
121#2557C2214yescomplemented
122#2555C2214yescomplemented
123#2554C2214yescomplemented
124#2552C2211yescharacteristic, complemented
125#2550C2212yescomplemented
126#2548C2212yes—
127#2547C2211yescharacteristic
128#2547C2211yescharacteristic
129#2547C2212yescomplemented
130#2547C2212yescomplemented
131#2547C2212yescomplemented
132#2540C2212yes—
133#2537C2211yescharacteristic
134#2536C2212yes—
135#2535C2212yescomplemented
136#2535C2212yescomplemented
137#2532C2214yescomplemented
138#2532C2214yescomplemented
139#2532C2214yescomplemented
140#2531C2214yescomplemented
141#2531C2214yescomplemented
142#2529C2214yescomplemented
143#2527C2214yes—
144#2527C2214yescomplemented
145#2521C2214yescomplemented
146#2517C2214yescomplemented
147#2514C2212yescomplemented
148#2513C2212yes—
149#2513C2212yescomplemented
150#2513C2214yescomplemented
151#2504C2212yes—
152#2504C2212yescomplemented
153#2503C2212yes—
154#2499C2212yescomplemented
155#2497C2212yescomplemented
156#2496C2212yescomplemented
157#2495C2212yes—
158#2495C2212yescomplemented
159#2494C2212yescomplemented
160#2494C2212yescomplemented
161#2494C2212yescomplemented
162#2492C2212yes—
163#2492C2212yescomplemented
164#2491C2212yes—
165#2491C2212yescomplemented
166#2490C2212yes—
167#2490C2212yes—
168#2490C2212yescomplemented
169#2489C2212yescomplemented
170#2487C2212yescomplemented
171#2485C2212yes—
172#2485C2212yes—
173#2485C2212yescomplemented
174#2485C2212yescomplemented
175#2485C2212yescomplemented
176#2477C2214yescomplemented
177#2474C2214yescomplemented
178#2472C2214yes—
179#2472C2212yes—
180#2471C2214yescomplemented
181#2464C2212yes—
182#2461C2212yes—
183#2459C2214yes—
184#2458C2214yescomplemented
185#2458C2214yescomplemented
186#2452C2211yescharacteristic
187#2451C2212yescomplemented
188#2448C2212yes—
189#2446C2212yescomplemented
190#2445C2211yescharacteristic
191#2442C2212yescomplemented
192#2442C2212yescomplemented
193#2440C2211yescharacteristic
194#2439C2212yes—
195#2439C2212yescomplemented
196#2439C2212yescomplemented
197#2436C2214yescomplemented
198#2436C2214yescomplemented
199#2435C2212yes—
200#2433C2211yescharacteristic
201#2431C2212yes—
202#2431C2212yes—
203#2429C2212yes—
204#2428C2211yescharacteristic
205#2426C2212yes—
206#2424C2212yes—
207#2422C2211yescharacteristic
208#2422C2212yescomplemented
209#2421C2212yescomplemented
210#2420C2212yes—
211#2417C2212yes—
212#2416C2212yes—
213#2416C2211yescharacteristic
214#2416C2212yescomplemented
215#2414C2212yes—
216#2414C2212yes—
217#2414C2212yescomplemented
218#2409C2212yes—
219#2408C2212yes—
220#2408C2211yescharacteristic
221#2407C2212yes—
222#2407C2212yescomplemented
223#2398C2214yes—
224#2392C2212yes—
225#2388C2212yes—
226#2375C2214yes—
227#2375C2214yes—
228#2374C2214yescomplemented
229#2374C2214yescomplemented
230#2372C2212yes—
231#2372C2214yescomplemented
232#2372C2212yescomplemented
233#2369C2211yescharacteristic, complemented
234#2369C2211yescharacteristic, complemented
235#2365C2211yescharacteristic, complemented
236#2363C2212yes—
237#2363C2212yes—
238#2363C2211yescharacteristic
239#2363C2211yescharacteristic, complemented
240#2360C2212yescomplemented
241#2355C2212yescomplemented
242#2354C2211yescharacteristic
243#2354C2212yes—
244#2354C2211yescharacteristic
245#2354C2211yescharacteristic, complemented
246#2354C2212yescomplemented
247#2354C2212yescomplemented
248#2354C2211yescharacteristic, complemented
249#2352C2212yes—
250#2352C2212yes—
251#2352C2212yes—
252#2352C2212yescomplemented
253#2352C2212yescomplemented
254#2352C2212yescomplemented
255#2352C2212yescomplemented
256#2347C2212yescomplemented
257#2346C2211yescharacteristic
258#2346C2212yescomplemented
259#2346C2212yescomplemented
260#2346C2211yescharacteristic, complemented
261#2341C2212yescomplemented
262Q8×C22⋊C4C2212yescomplemented
263#2337C2214yescomplemented
264#2333C2214yes—
265#2333C2214yescomplemented
266#2332C2214yes—
267#2332C2214yescomplemented
268#2324C2212yescomplemented
269#2314C2212yescomplemented
270#2314C2212yescomplemented
271#2311C2212yescomplemented
272#2311C2212yescomplemented
273#2311C2212yescomplemented
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×#127C2211yescharacteristic
277C4×#125C2212yescomplemented
278C4×#124C2212yes—
279C4×#124C2212yes—
280C4×#124C2212yes—
281C4×#124C2212yescomplemented
282C4×#121C2211yescharacteristic
283C4×#121C2212yes—
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic, complemented
287C4×#120C2212yes—
288#2297C2212yescomplemented
289#2295C2212yescomplemented
290#2293C2211yescharacteristic
291#2280C2212yes—
292#2280C2212yes—
293#2280C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic, complemented
296C4×#117C2211yescharacteristic
297C4×#117C2212yescomplemented
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×Q8C2312yes—
302C23×D4C2311yescharacteristic
303C24×C4C2312yes—
304#555—28no—
305#555—44no—
306#547—44no—
307#533—44no—
308#532—44no—
309C2×C4⋊Q8—44no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×#127C2311yescharacteristic
319C2×#127C2311yescharacteristic
320C2×#126C2314yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2314yes—
327C2×#124C2312yes—
328C2×#124C2314yes—
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#124C2314yes—
332C2×#124C2314yes—
333#525—216no—
334C2×#123C2312yes—
335C2×#123C2312yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2311yescharacteristic
348C2×#121C2311yescharacteristic
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2311yescharacteristic
356C2×#121C2311yescharacteristic
357C2×#121C2311yescharacteristic
358C2×#121C2311yescharacteristic
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#120C2312yes—
362C2×#120C2312yes—
363C2×#120C2312yes—
364C2×#120C2314yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×D4—44no—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×#117C2311yescharacteristic
392C2×#117C2312yes—
393C2×#117C2311yescharacteristic
394C2×#117C2312yes—
395C2×#117C2311yescharacteristic
396C2×#117C2312yes—
397C2×#117C2312yes—
398C2×#117C2312yes—
399C2×#117C2312yes—
400C2×#117C2312yes—
401C2×#117C2311yescharacteristic
402C2×#117C2312yes—
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2312yes—
405C22×C4⋊C4C2311yescharacteristic
406C22×C4⋊C4C2312yes—
407C22×C22⋊C4C2312yes—
408C22×C42C2311yescharacteristic
409C22×C42C2311yescharacteristic
410C22×C42C2312yes—
411#401C2314yes—
412#401C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#399C2314yes—
423#399C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2312yes—
455#396C2312yes—
456#396C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2312yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2312yes—
468#394C2312yes—
469#394C2314yes—
470#394C2312yes—
471#394C2312yes—
472#394C2312yes—
473#394C2312yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#393C2314yes—
489#393C2314yes—
490#393C2312yes—
491#393C2314yes—
492#393C2314yes—
493#392C2312yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2312yes—
501#392C2312yes—
502#392C2312yes—
503#392C2314yes—
504#392C2314yes—
505#391C2314yes—
506#391C2312yes—
507#391C2312yes—
508#391C2314yes—
509#391C2314yes—
510#391C2314yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2314yes—
515#391C2314yes—
516#391C2314yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2314yes—
521#391C2312yes—
522#391C2312yes—
523#391C2314yes—
524#391C2312yes—
525#391C2312yes—
526#391C2314yes—
527#391C2312yes—
528#390C2314yes—
529#390C2312yes—
530#390C2311yescharacteristic
531#390C2311yescharacteristic
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2314yes—
540#390C2314yes—
541#390C2314yes—
542#390C2314yes—
543#390C2312yes—
544#390C2314yes—
545#390C2314yes—
546#390C2311yescharacteristic
547#390C2314yes—
548#390C2311yescharacteristic
549#390C2314yes—
550#390C2314yes—
551#390C2311yescharacteristic
552#390C2312yes—
553#390C2311yescharacteristic
554#390C2312yes—
555#390C2311yescharacteristic
556#390C2311yescharacteristic
557#390C2314yes—
558#390C2312yes—
559#390C2312yes—
560#389C2311yescharacteristic
561#389C2312yes—
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2312yes—
571#389C2311yescharacteristic
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2314yes—
579#389C2312yes—
580#389C2312yes—
581#389C2311yescharacteristic
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2314yes—
621#388C2312yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#388C2314yes—
626#388C2312yes—
627#388C2312yes—
628#388C2314yes—
629#388C2314yes—
630#388C2312yes—
631#388C2312yes—
632#388C2314yes—
633#388C2314yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#386C2312yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2312yes—
667#386C2314yes—
668#386C2312yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2312yes—
682#386C2312yes—
683#386C2312yes—
684#386C2312yes—
685#386C2312yes—
686#386C2314yes—
687#386C2312yes—
688#386C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#385C2314yes—
694#385C2312yes—
695#385C2314yes—
696#385C2312yes—
697#384C2311yescharacteristic
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#384C2312yes—
701#383C2314yes—
702#383C2314yes—
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2314yes—
711#382C2312yes—
712#382C2312yes—
713#382C2312yes—
714#381C2314yes—
715#381C2314yes—
716#381C2314yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2312yes—
736#380C2314yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2314yes—
742#380C2312yes—
743#380C2311yescharacteristic
744#380C2312yes—
745#380C2311yescharacteristic
746#380C2312yes—
747#380C2311yescharacteristic
748#379C2314yes—
749#379C2314yes—
750#379C2314yes—
751#379C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810#376C2312yes—
811#376C2314yes—
812#376C2312yes—
813#376C2312yes—
814#376C2312yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2312yes—
818C25C2412yes—
819C2×#41—28no—
820C2×#41—44no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C22×Q8—44no—
826C22×Q8—44no—
827C22×Q8—82no—
828C22×Q8C2412yes—
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×Q8C2414yes—
834C22×D4—42no—
835C22×D4—42no—
836C22×D4—42no—
837C22×D4C2411yescharacteristic
838C22×D4C2411yescharacteristic
839C22×D4C2411yescharacteristic
840C22×D4C2411yescharacteristic
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2411yescharacteristic
856C23×C4—28no—
857C23×C4—44no—
858C23×C4—44no—
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2411yescharacteristic
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2414yes—
874C23×C4C2414yes—
875C23×C4C2412yes—
876C4⋊Q8—24no—
877C4⋊Q8—24no—
878C4⋊Q8—24no—
879C4⋊Q8—24no—
880C4⋊Q8—44no—
881C4⋊Q8—44no—
882C4⋊Q8—42no—
883C4⋊Q8—44no—
884#127—42no—
885#127—42no—
886#126—84no—
887#125—44no—
888#125—44no—
889#124—28no—
890#124—28no—
891#124—44no—
892#124—44no—
893#124—48no—
894#124—44no—
895#124—48no—
896#124—48no—
897#124—84no—
898#124—84no—
899#123—28no—
900#123—28no—
901#123—48no—
902#123—84no—
903C22⋊Q8—28no—
904C22⋊Q8—28no—
905C22⋊Q8—44no—
906C22⋊Q8—44no—
907C22⋊Q8—44no—
908C22⋊Q8—44no—
909C22⋊Q8—82no—
910#121—28no—
911#121—28no—
912#121—24no—
913#121—24no—
914#121—28no—
915#121—44no—
916#121—44no—
917#121—42no—
918#121—44no—
919#121—42no—
920#121—42no—
921#121—42no—
922#121—44no—
923#121—44no—
924#121—44no—
925#121—84no—
926#120—28no—
927#120—28no—
928#120—44no—
929#120—84no—
930C4×Q8—44no—
931C4×Q8—44no—
932C4×Q8—44no—
933C4×Q8—44no—
934C4×Q8—82no—
935C4×D4—28no—
936C4×D4—28no—
937C4×D4—28no—
938C4×D4—24no—
939C4×D4—24no—
940C4×D4—24no—
941C4×D4—24no—
942C4×D4—24no—
943C4×D4—44no—
944C4×D4—42no—
945C4×D4—42no—
946C4×D4—42no—
947C4×D4—44no—
948C4×D4—42no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—42no—
954C4×D4#4118yescomplemented
955#117—24no—
956#117—24no—
957#117—28no—
958#117—28no—
959#117—44no—
960#117—42no—
961#117—42no—
962#117—44no—
963#117—44no—
964#117—44no—
965#117—44no—
966#117—44no—
967C2×C4⋊C4—42no—
968C2×C4⋊C4—44no—
969C2×C4⋊C4—44no—
970C2×C4⋊C4—44no—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C22⋊C4—44no—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2411yescharacteristic
1095C2×C22⋊C4C2411yescharacteristic
1096C2×C42—24no—
1097C2×C42—24no—
1098C2×C42—44no—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2411yescharacteristic
1115C2×C42C2414yes—
1116C2×C42C2414yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2414yes—
1121C2×C42C2414yes—
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2414yes—
1125C2×C42C2414yes—
1126C2×C42C2412yes—
1127C2×C42C2414yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2412yes—
1135#95C2411yescharacteristic
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2411yescharacteristic
1156#95C2412yes—
1157#95C2411yescharacteristic
1158#95C2412yes—
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195C24—24no—
1196C24—42no—
1197C24—42no—
1198C24—42no—
1199C24—42no—
1200C24—42no—
1201C24—42no—
1202C24C2512yes—
1203C24C2512yes—
1204C24C2512yes—
1205C24C2512yes—
1206C24C2511yescharacteristic
1207C24C2511yescharacteristic
1208#41—816no—
1209#41—816no—
1210C2×Q8—24no—
1211C2×Q8—24no—
1212C2×Q8—24no—
1213C2×Q8—24no—
1214C2×Q8—24no—
1215C2×Q8—24no—
1216C2×Q8—24no—
1217C2×Q8—28no—
1218C2×Q8—42no—
1219C2×Q8—42no—
1220C2×Q8—42no—
1221C2×Q8—42no—
1222C2×Q8—42no—
1223C2×Q8—42no—
1224C2×Q8—44no—
1225C2×Q8—44no—
1226C2×Q8—42no—
1227C2×Q8—42no—
1228C2×Q8—816no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—22no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—24no—
1250C2×D4—42no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—44no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—42no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—416no—
1286C2×D4C2×#4114yes—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—24no—
1292C22×C4—24no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—24no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—24no—
1313C22×C4—24no—
1314C22×C4—24no—
1315C22×C4—22no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—41no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—42no—
1324C22×C4—42no—
1325C22×C4—41no—
1326C22×C4—42no—
1327C22×C4—44no—
1328C22×C4—41no—
1329C22×C4—42no—
1330C22×C4—42no—
1331C22×C4—42no—
1332C22×C4—42no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—816no—
1337C22×C4C2×#4114yes—
1338C22×C4C2×#4114yes—
1339C22×C4C2512yes—
1340C22×C4C2511yescharacteristic
1341C22×C4C2512yes—
1342C22×C4C2511yescharacteristic
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2514yes—
1350C22×C4C2514yes—
1351C22×C4C2511yescharacteristic
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2514yes—
1357C22×C4C2514yes—
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C22×C4C2511yescharacteristic
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C4⋊C4—22no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—22no—
1384C4⋊C4—24no—
1385C4⋊C4—22no—
1386C4⋊C4—24no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—24no—
1392C4⋊C4—22no—
1393C4⋊C4—24no—
1394C4⋊C4—22no—
1395C4⋊C4—42no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—42no—
1400C4⋊C4—41no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—42no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4C2×#4114yes—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—22no—
1439C22⋊C4—24no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—41no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—42no—
1490C22⋊C4C2×#4114yes—
1491C22⋊C4C2×#4114yes—
1492C42—24no—
1493C42—24no—
1494C42—24no—
1495C42—22no—
1496C42—22no—
1497C42—22no—
1498C42—22no—
1499C42—22no—
1500C42—22no—
1501C42—22no—
1502C42—24no—
1503C42—24no—
1504C42—22no—
1505C42—24no—
1506C42—24no—
1507C42—22no—
1508C42—42no—
1509C42—42no—
1510C42—42no—
1511C42—42no—
1512C42—42no—
1513C42—44no—
1514C42—44no—
1515C42—44no—
1516C42—44no—
1517C42—41no—
1518C42—44no—
1519C42—41no—
1520C42—44no—
1521C42—44no—
1522C42—42no—
1523C42—42no—
1524C42C2×#4114yes—
1525C42H(5,𝔽2)14yes—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—22no—
1539C23—22no—
1540C23—22no—
1541C23—22no—
1542C23—22no—
1543C23—22no—
1544C23—22no—
1545C23—22no—
1546C23—22no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—22no—
1553C23—22no—
1554C23—22no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—22no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—22no—
1566C23—48no—
1567C23—84no—
1568C23—84no—
1569C23—84no—
1570C23—84no—
1571C23—84no—
1572C23—84no—
1573C23C22×#4112yes—
1574C23C22×#4112yes—
1575C23C2611yescharacteristic
1576Q8—48no—
1577Q8—48no—
1578Q8—84no—
1579Q8—84no—
1580Q8—88no—
1581Q8—84no—
1582D4—44no—
1583D4—48no—
1584D4—44no—
1585D4—44no—
1586D4—44no—
1587D4—44no—
1588D4—84no—
1589D4—84no—
1590D4—84no—
1591D4—84no—
1592D4—84no—
1593D4—84no—
1594D4—84no—
1595D4—84no—
1596D4—84no—
1597D4—84no—
1598D4—88no—
1599D4—164no—
1600D4—164no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—28no—
1614C2×C4—28no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—24no—
1629C2×C4—24no—
1630C2×C4—24no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—21no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—24no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—24no—
1658C2×C4—24no—
1659C2×C4—21no—
1660C2×C4—24no—
1661C2×C4—21no—
1662C2×C4—24no—
1663C2×C4—24no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—24no—
1674C2×C4—24no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—24no—
1678C2×C4—44no—
1679C2×C4—48no—
1680C2×C4—48no—
1681C2×C4—48no—
1682C2×C4—48no—
1683C2×C4—44no—
1684C2×C4—44no—
1685C2×C4—48no—
1686C2×C4—82no—
1687C2×C4—84no—
1688C2×C4—84no—
1689C2×C4—84no—
1690C2×C4—84no—
1691C2×C4—88no—
1692C2×C4—88no—
1693C2×C4C22×#4112yes—
1694C2×C4C22×#4112yes—
1695C2×C4C22×#4112yes—
1696C2×C4C22×#4112yes—
1697C2×C4C22×#4112yes—
1698C2×C4C2×H(5,𝔽2)12yes—
1699C2×C4C2×H(5,𝔽2)12yes—
1700C2×C4C2×H(5,𝔽2)12yes—
1701C2×C4#58512yes—
1702C2×C4#58512yes—
1703C2×C4#58512yes—
1704C2×C4#58512yes—
1705C22—22no—
1706C22—22no—
1707C22—22no—
1708C22—22no—
1709C22—22no—
1710C22—22no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—42no—
1720C22—42no—
1721C22—42no—
1722C22—42no—
1723C22—42no—
1724C22—42no—
1725C22—42no—
1726C22—42no—
1727C22—42no—
1728C22—42no—
1729C22—42no—
1730C22—42no—
1731C22—42no—
1732C22—42no—
1733C22—42no—
1734C22—42no—
1735C22—42no—
1736C22—42no—
1737C22—42no—
1738C22—42no—
1739C22—42no—
1740C22—42no—
1741C22—42no—
1742C22—42no—
1743C22—42no—
1744C22—42no—
1745C22—42no—
1746C22—42no—
1747C22—816no—
1748C22C23×#4111yescharacteristic
1749C22C22×H(5,𝔽2)11yescharacteristic
1750C22C2×#58511yescharacteristic
1751C22C2×#58511yescharacteristic
1752C22C2×#58511yescharacteristic
1753C22C2×#58511yescharacteristic
1754C22H(7,𝔽2)11yescharacteristic
1755C4—22no—
1756C4—22no—
1757C4—22no—
1758C4—22no—
1759C4—22no—
1760C4—22no—
1761C4—41no—
1762C4—42no—
1763C4—41no—
1764C4—44no—
1765C4—42no—
1766C4—42no—
1767C4—42no—
1768C4—42no—
1769C4—42no—
1770C4—41no—
1771C4—42no—
1772C4—42no—
1773C4—42no—
1774C4—42no—
1775C4—42no—
1776C4—41no—
1777C4—44no—
1778C4—44no—
1779C4—42no—
1780C4—41no—
1781C4—44no—
1782C4#351414yes—
1783C4#354014yes—
1784C2—42no—
1785C2—42no—
1786C2—82no—
1787C2—82no—
1788C2—82no—
1789C2—82no—
1790C2C2×#354011yescharacteristic
1791C2C2×#351411yescharacteristic
1792C2#6281511yescharacteristic
1793C2#6292411yescharacteristic
1794C2#6293711yescharacteristic
1795C2#6299411yescharacteristic
1796C2#6303111yescharacteristic
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. #59863C2semidirect
2. #59645C2semidirect
3. #59202C2semidirect
4. #59135C2semidirect
5. #59034C2semidirect
6. #50527C2semidirect
7. #49261C2semidirect
8. #46054C2semidirect
9. #45701C2semidirect
10. #45125C2semidirect
11. #44909C2semidirect
12. #44147C2semidirect
13. #42990C2semidirect
14. #42671C2semidirect
15. #41503C2semidirect
16. #40008C2semidirect
17. #40001C2semidirect
18. #39934C2semidirect
19. #39515C2semidirect
20. #39471C2semidirect
21. #39218C2semidirect
22. #37845C2semidirect
23. #36459C2semidirect
24. #36415C2semidirect
25. #36399C2semidirect
26. #36315C2semidirect
27. #36160C2semidirect
28. #36129C2semidirect
29. #35289C2semidirect
30. #35207C2semidirect
31. #35137C2semidirect
32. #34946C2semidirect
33. #34681C2semidirect
34. #34361C2semidirect
35. C4×#555C2semidirect
38. C2×#547C22semidirect
41. C22×C4⋊Q8C22semidirect
44. #2862C22semidirect
45. #2862C22semidirect
47. #2860C22semidirect
50. #2857C22semidirect
52. #2851C22semidirect
57. #2808C22semidirect
58. #2803C22semidirect
59. #2799C22semidirect
60. #2798C22semidirect
61. #2798C22semidirect
62. #2797C22semidirect
63. #2781C22semidirect
64. #2778C22semidirect
65. #2778C22semidirect
66. #2762C22semidirect
67. #2759C22semidirect
75. #2731C22semidirect
76. #2715C22semidirect
77. #2714C22semidirect
79. #2710C22semidirect
81. #2703C22semidirect
90. #2653C22semidirect
91. #2653C22semidirect
92. #2652C22semidirect
93. #2650C22semidirect
94. #2650C22semidirect
95. #2648C22semidirect
96. #2640C22semidirect
97. #2628C22semidirect
98. #2615C22semidirect
99. #2610C22semidirect
100. #2597C22semidirect
101. #2595C22semidirect
103. #2592C22semidirect
104. #2581C22semidirect
105. #2578C22semidirect
107. #2576C22semidirect
111. #2563C22semidirect
112. #2563C22semidirect
113. #2563C22semidirect
118. #2557C22semidirect
119. #2557C22semidirect
120. #2557C22semidirect
121. #2557C22semidirect
122. #2555C22semidirect
123. #2554C22semidirect
124. #2552C22semidirect
125. #2550C22semidirect
129. #2547C22semidirect
130. #2547C22semidirect
131. #2547C22semidirect
135. #2535C22semidirect
136. #2535C22semidirect
137. #2532C22semidirect
138. #2532C22semidirect
139. #2532C22semidirect
140. #2531C22semidirect
141. #2531C22semidirect
142. #2529C22semidirect
144. #2527C22semidirect
145. #2521C22semidirect
146. #2517C22semidirect
147. #2514C22semidirect
149. #2513C22semidirect
150. #2513C22semidirect
152. #2504C22semidirect
154. #2499C22semidirect
155. #2497C22semidirect
156. #2496C22semidirect
158. #2495C22semidirect
159. #2494C22semidirect
160. #2494C22semidirect
161. #2494C22semidirect
163. #2492C22semidirect
165. #2491C22semidirect
168. #2490C22semidirect
169. #2489C22semidirect
170. #2487C22semidirect
173. #2485C22semidirect
174. #2485C22semidirect
175. #2485C22semidirect
176. #2477C22semidirect
177. #2474C22semidirect
180. #2471C22semidirect
184. #2458C22semidirect
185. #2458C22semidirect
187. #2451C22semidirect
189. #2446C22semidirect
191. #2442C22semidirect
192. #2442C22semidirect
195. #2439C22semidirect
196. #2439C22semidirect
197. #2436C22semidirect
198. #2436C22semidirect
208. #2422C22semidirect
209. #2421C22semidirect
214. #2416C22semidirect
217. #2414C22semidirect
222. #2407C22semidirect
228. #2374C22semidirect
229. #2374C22semidirect
231. #2372C22semidirect
232. #2372C22semidirect
233. #2369C22semidirect
234. #2369C22semidirect
235. #2365C22semidirect
239. #2363C22semidirect
240. #2360C22semidirect
241. #2355C22semidirect
245. #2354C22semidirect
246. #2354C22semidirect
247. #2354C22semidirect
248. #2354C22semidirect
252. #2352C22semidirect
253. #2352C22semidirect
254. #2352C22semidirect
255. #2352C22semidirect
256. #2347C22semidirect
258. #2346C22semidirect
259. #2346C22semidirect
260. #2346C22semidirect
261. #2341C22semidirect
262. Q8×C22⋊C4C22semidirect
263. #2337C22semidirect
265. #2333C22semidirect
267. #2332C22semidirect
268. #2324C22semidirect
269. #2314C22semidirect
270. #2314C22semidirect
271. #2311C22semidirect
272. #2311C22semidirect
273. #2311C22semidirect
274. C4×C4⋊Q8C22semidirect
275. C4×C4⋊Q8C22semidirect
277. C4×#125C22semidirect
281. C4×#124C22semidirect
286. C4×#121C22semidirect
288. #2297C22semidirect
289. #2295C22semidirect
295. C42×D4C22semidirect
297. C4×#117C22semidirect
298. C4×#117C22semidirect
954. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#598632
#596452
#592022
#591352
#590342
#505272
#492612
#460542
#457012
#451252
#449092
#441472
#429902
#426712
#415032
#400082
#400012
#399342
#395152
#394712
#392182
#378452
#364592
#364152
#363992
#363152
#361602
#361292
#352892
#352072
#351372
#349462
#346812
#343612
C4×#5552