Finite Group Databasebeta

← #8467155

Subgroups — #8467155

Order 512.

4923 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#59410C211yesmaximal, characteristic, complemented
2#59304C211yesmaximal, characteristic, complemented
3#59218C211yesmaximal, characteristic, complemented
4#57448C214yesmaximal, complemented
5#55410C214yesmaximal, complemented
6#54559C214yesmaximal, complemented
7#53066C212yesmaximal, complemented
8#52981C212yesmaximal, complemented
9#49837C214yesmaximal, complemented
10#46338C212yesmaximal, complemented
11#45493C212yesmaximal, complemented
12#45373C212yesmaximal, complemented
13#45196C212yesmaximal, complemented
14#42855C212yesmaximal, complemented
15#42777C212yesmaximal, complemented
16#42752C212yesmaximal, complemented
17#42507C212yesmaximal, complemented
18#39862C212yesmaximal, complemented
19#39634C212yesmaximal, complemented
20#39191C211yesmaximal, characteristic, complemented
21#39136C211yesmaximal, characteristic, complemented
22#38923C211yesmaximal, characteristic, complemented
23#38920C211yesmaximal, characteristic, complemented
24#38213C212yesmaximal, complemented
25#37671C212yesmaximal, complemented
26#37620C211yesmaximal, characteristic, complemented
27#37335C212yesmaximal, complemented
28#37285C212yesmaximal, complemented
29#36312C211yesmaximal, characteristic, complemented
30#36189C211yesmaximal, characteristic, complemented
31#36100C211yesmaximal, characteristic, complemented
32#35236C211yesmaximal, characteristic, complemented
33#35209C211yesmaximal, characteristic, complemented
34#34934C211yesmaximal, characteristic, complemented
35#34700C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic, complemented
37C2×#553C2212yescomplemented
38C2×#547C2211yescharacteristic
39C2×#541C2212yescomplemented
40C2×#529C2211yescharacteristic
41C2×#529C2211yescharacteristic
42C2×#529C2211yescharacteristic, complemented
43C2×#525C2212yes—
44C22×C4×D4C2211yescharacteristic
45#2860C2212yes—
46#2860C2212yes—
47#2859C2211yescharacteristic, complemented
48#2859C2212yescomplemented
49#2857C2211yescharacteristic
50#2857C2211yescharacteristic, complemented
51#2848C2212yes—
52#2848C2212yes—
53#2847C2212yes—
54#2842C2214yes—
55#2837C2214yes—
56#2829C2214yes—
57#2829C2214yescomplemented
58#2828C2214yes—
59#2827C2214yescomplemented
60#2823C2214yescomplemented
61#2813C2214yes—
62#2807C2214yescomplemented
63#2797C2214yescomplemented
64#2795C2214yes—
65#2790C2214yes—
66#2790C2214yescomplemented
67#2786C2214yescomplemented
68#2783C2214yescomplemented
69#2781C2214yes—
70#2780C2214yes—
71#2780C2214yes—
72#2780C2214yescomplemented
73#2780C2214yescomplemented
74#2780C2214yescomplemented
75#2779C2214yescomplemented
76#2773C2214yescomplemented
77#2772C2214yescomplemented
78#2767C2214yescomplemented
79#2761C2214yescomplemented
80#2753C2214yescomplemented
81#2750C2214yescomplemented
82#2748C2214yescomplemented
83#2727C2214yescomplemented
84#2727C2214yescomplemented
85#2722C2214yescomplemented
86#2721C2214yescomplemented
87#2718C2214yescomplemented
88#2718C2214yescomplemented
89#2714C2214yes—
90#2714C2214yes—
91#2711C2214yescomplemented
92#2707C2214yescomplemented
93#2706C2214yescomplemented
94#2706C2214yescomplemented
95#2705C2214yes—
96#2705C2214yescomplemented
97#2705C2214yescomplemented
98#2705C2214yescomplemented
99#2703C2214yescomplemented
100#2697C2214yes—
101#2695C2214yes—
102#2695C2214yescomplemented
103#2694C2214yescomplemented
104#2694C2214yescomplemented
105#2691C2214yescomplemented
106#2685C2214yes—
107#2685C2214yes—
108#2685C2214yes—
109#2678C2214yes—
110#2669C2214yes—
111#2664C2214yescomplemented
112#2654C2214yescomplemented
113#2652C2214yescomplemented
114#2648C2214yescomplemented
115#2647C2214yescomplemented
116#2636C2214yes—
117#2636C2214yes—
118#2629C2212yescomplemented
119#2629C2212yescomplemented
120#2625C2212yescomplemented
121#2624C2212yes—
122#2624C2212yescomplemented
123#2620C2212yes—
124#2620C2212yescomplemented
125#2620C2212yescomplemented
126#2618C2214yescomplemented
127#2603C2214yescomplemented
128#2601C2214yes—
129#2582C2211yescharacteristic, complemented
130#2570C2212yescomplemented
131#2562C2212yes—
132#2559C2214yescomplemented
133#2554C2212yes—
134#2554C2214yescomplemented
135#2554C2212yescomplemented
136#2552C2211yescharacteristic, complemented
137#2552C2211yescharacteristic, complemented
138#2548C2211yescharacteristic, complemented
139#2547C2212yescomplemented
140#2546C2211yescharacteristic, complemented
141#2542C2211yescharacteristic
142#2542C2212yescomplemented
143#2541C2211yescharacteristic
144#2540C2212yes—
145#2540C2212yes—
146#2540C2212yescomplemented
147#2538C2211yescharacteristic
148#2538C2212yes—
149#2538C2211yescharacteristic
150#2538C2211yescharacteristic
151#2538C2212yescomplemented
152#2538C2211yescharacteristic, complemented
153#2538C2212yescomplemented
154#2537C2211yescharacteristic
155#2537C2211yescharacteristic
156#2537C2211yescharacteristic
157#2535C2214yescomplemented
158#2529C2214yescomplemented
159#2529C2214yescomplemented
160#2519C2214yescomplemented
161#2519C2214yescomplemented
162#2512C2212yes—
163#2512C2212yescomplemented
164#2512C2214yescomplemented
165#2512C2212yescomplemented
166#2511C2212yescomplemented
167#2508C2212yescomplemented
168#2507C2212yescomplemented
169#2506C2212yescomplemented
170#2501C2212yes—
171#2497C2212yes—
172#2497C2212yes—
173#2497C2212yescomplemented
174#2496C2212yescomplemented
175#2496C2212yescomplemented
176#2496C2212yescomplemented
177#2490C2212yes—
178#2490C2211yescharacteristic
179#2490C2214yescomplemented
180#2490C2211yescharacteristic, complemented
181#2489C2212yescomplemented
182#2489C2212yescomplemented
183#2487C2212yes—
184#2487C2212yes—
185#2487C2212yescomplemented
186#2487C2212yescomplemented
187#2487C2212yescomplemented
188#2485C2212yes—
189#2485C2212yes—
190#2485C2212yescomplemented
191#2480C2212yes—
192#2468C2212yes—
193#2468C2214yescomplemented
194#2467C2214yescomplemented
195#2466C2214yescomplemented
196#2460C2214yes—
197#2457C2212yes—
198#2455C2214yes—
199#2454C2214yes—
200#2454C2211yescharacteristic
201#2454C2214yescomplemented
202#2453C2212yescomplemented
203#2448C2212yes—
204#2447C2211yescharacteristic
205#2445C2212yes—
206#2443C2214yescomplemented
207#2442C2211yescharacteristic
208#2442C2212yescomplemented
209#2441C2212yes—
210#2441C2212yescomplemented
211#2441C2212yescomplemented
212#2435C2211yescharacteristic
213#2432C2212yescomplemented
214#2431C2212yescomplemented
215#2429C2212yes—
216#2429C2212yescomplemented
217#2428C2212yescomplemented
218#2427C2211yescharacteristic
219#2427C2212yes—
220#2426C2211yescharacteristic
221#2426C2212yes—
222#2426C2212yescomplemented
223#2426C2211yescharacteristic, complemented
224#2423C2212yes—
225#2423C2212yescomplemented
226#2423C2212yescomplemented
227#2422C2212yes—
228#2422C2212yescomplemented
229#2420C2211yescharacteristic
230#2418C2214yes—
231#2418C2212yes—
232#2417C2212yes—
233#2417C2212yes—
234#2417C2211yescharacteristic
235#2417C2212yescomplemented
236#2417C2212yescomplemented
237#2417C2212yescomplemented
238#2416C2212yes—
239#2416C2212yes—
240#2416C2212yes—
241#2416C2212yescomplemented
242#2415C2212yes—
243#2414C2212yes—
244#2414C2212yes—
245#2414C2212yes—
246#2414C2212yes—
247#2411C2214yes—
248#2408C2211yescharacteristic
249#2408C2212yes—
250#2408C2212yes—
251#2407C2212yes—
252#2407C2212yescomplemented
253#2395C2212yes—
254#2392C2212yes—
255#2392C2212yes—
256#2392C2212yescomplemented
257#2375C2214yes—
258#2370C2212yescomplemented
259#2362C2212yescomplemented
260#2362C2212yescomplemented
261#2361C2212yes—
262#2360C2212yescomplemented
263#2354C2211yescharacteristic
264#2354C2211yescharacteristic, complemented
265#2352C2212yes—
266#2352C2212yescomplemented
267Q8×C4⋊C4C2211yescharacteristic, complemented
268D4×C4⋊C4C2212yes—
269D4×C4⋊C4C2211yescharacteristic, complemented
270D4×C4⋊C4C2212yescomplemented
271#2346C2212yescomplemented
272#2345C2212yescomplemented
273#2341C2212yescomplemented
274#2328C2214yes—
275#2324C2212yes—
276#2324C2212yes—
277#2324C2212yescomplemented
278#2323C2212yescomplemented
279#2323C2212yescomplemented
280#2317C2212yescomplemented
281#2316C2212yescomplemented
282C4×C4⋊Q8C2211yescharacteristic, complemented
283C4×#127C2212yes—
284C4×#127C2211yescharacteristic, complemented
285C4×#124C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic, complemented
290C4×#120C2212yes—
291#2295C2212yescomplemented
292#2293C2211yescharacteristic
293#2293C2212yescomplemented
294#2285C2211yescharacteristic
295C2×#384C2211yescharacteristic, complemented
296#2280C2212yes—
297C42×Q8C2211yescharacteristic, complemented
298C42×D4C2211yescharacteristic
299C22×#41C2312yes—
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#556—44no—
303#553—48no—
304#547—44no—
305#541—48no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×#127C2312yes—
309C2×#127C2311yescharacteristic
310#529—44no—
311#529—44no—
312#529—44no—
313C2×#126C2312yes—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#125C2312yes—
323C2×#125C2311yescharacteristic
324C2×#125C2314yes—
325C2×#125C2311yescharacteristic
326C2×#125C2311yescharacteristic
327C2×#125C2314yes—
328C2×#125C2312yes—
329C2×#124C2311yescharacteristic
330C2×#124C2311yescharacteristic
331C2×#124C2312yes—
332C2×#124C2311yescharacteristic
333C2×#124C2311yescharacteristic
334#525—48no—
335C2×#123C2312yes—
336C2×#123C2312yes—
337C2×#123C2312yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2311yescharacteristic
355C2×#121C2311yescharacteristic
356C2×#121C2311yescharacteristic
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2311yescharacteristic
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2311yescharacteristic
366C2×#121C2311yescharacteristic
367C2×#121C2311yescharacteristic
368C2×#121C2314yes—
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×#120C2312yes—
372C2×#120C2314yes—
373C2×#120C2314yes—
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2311yescharacteristic
381C2×C4×D4—44no—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2312yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2311yescharacteristic
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2312yes—
410C2×#117C2312yes—
411C2×#117C2312yes—
412C2×#117C2312yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2312yes—
416C22×C4⋊C4C2311yescharacteristic
417C22×C4⋊C4C2312yes—
418C22×C4⋊C4C2312yes—
419C22×C22⋊C4C2312yes—
420C22×C42C2311yescharacteristic
421C22×C42C2311yescharacteristic
422#400C2314yes—
423#400C2314yes—
424#400C2312yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2314yes—
440#399C2314yes—
441#399C2312yes—
442#399C2314yes—
443#399C2314yes—
444#399C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2312yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2312yes—
457#398C2314yes—
458#398C2312yes—
459#398C2312yes—
460#398C2314yes—
461#398C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2312yes—
466#397C2314yes—
467#397C2312yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2312yes—
474#397C2312yes—
475#397C2312yes—
476#397C2312yes—
477#397C2314yes—
478#397C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2312yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2312yes—
499#396C2312yes—
500#396C2312yes—
501#396C2312yes—
502#396C2312yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2312yes—
511#394C2314yes—
512#394C2312yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2312yes—
517#394C2314yes—
518#394C2314yes—
519#394C2312yes—
520#394C2314yes—
521#394C2312yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2312yes—
532#394C2312yes—
533#394C2312yes—
534#394C2312yes—
535#394C2312yes—
536#394C2312yes—
537#394C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2312yes—
544#392C2312yes—
545#392C2312yes—
546#392C2314yes—
547#392C2314yes—
548#391C2312yes—
549#391C2312yes—
550#391C2312yes—
551#391C2312yes—
552#391C2312yes—
553#391C2312yes—
554#391C2311yescharacteristic
555#391C2311yescharacteristic
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2311yescharacteristic
563#390C2311yescharacteristic
564#390C2312yes—
565#390C2312yes—
566#390C2314yes—
567#390C2314yes—
568#390C2312yes—
569#390C2312yes—
570#390C2314yes—
571#390C2314yes—
572#390C2314yes—
573#390C2314yes—
574#390C2312yes—
575#390C2314yes—
576#390C2312yes—
577#390C2314yes—
578#390C2311yescharacteristic
579#390C2311yescharacteristic
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2311yescharacteristic
584#390C2311yescharacteristic
585#390C2314yes—
586#390C2314yes—
587#390C2311yescharacteristic
588#390C2311yescharacteristic
589#390C2314yes—
590#390C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2311yescharacteristic
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2314yes—
600#389C2314yes—
601#389C2311yescharacteristic
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2311yescharacteristic
606#389C2314yes—
607#389C2314yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2314yes—
612#389C2312yes—
613#389C2312yes—
614#389C2314yes—
615#389C2312yes—
616#389C2311yescharacteristic
617#389C2312yes—
618#389C2314yes—
619#389C2314yes—
620#389C2312yes—
621#389C2314yes—
622#389C2312yes—
623#389C2312yes—
624#389C2314yes—
625#389C2311yescharacteristic
626#389C2312yes—
627#389C2314yes—
628#389C2311yescharacteristic
629#389C2312yes—
630#389C2312yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2312yes—
664#388C2312yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2312yes—
684#387C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2312yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2312yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2312yes—
702#386C2312yes—
703#386C2312yes—
704#386C2312yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2312yes—
716#385C2312yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2312yes—
722#385C2314yes—
723#385C2312yes—
724#384C2312yes—
725#384C2311yescharacteristic
726#384C2311yescharacteristic
727#384C2312yes—
728#384C2314yes—
729#384C2311yescharacteristic
730#384C2311yescharacteristic
731#384C2312yes—
732#384C2312yes—
733#384C2312yes—
734#384C2312yes—
735#384C2312yes—
736#382C2312yes—
737#382C2312yes—
738#382C2314yes—
739#382C2314yes—
740#382C2314yes—
741#382C2311yescharacteristic
742#381C2312yes—
743#381C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2314yes—
749#380C2314yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2311yescharacteristic
755#380C2312yes—
756#380C2314yes—
757#380C2312yes—
758#380C2314yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2311yescharacteristic
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2314yes—
768#380C2311yescharacteristic
769#380C2312yes—
770#380C2314yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2311yescharacteristic
776#379C2312yes—
777#379C2314yes—
778#379C2314yes—
779#379C2312yes—
780#379C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2314yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816#376C2314yes—
817C43C2312yes—
818C43C2311yescharacteristic
819C25C2412yes—
820C2×#41—44no—
821C2×#41—44no—
822C2×#41—44no—
823C22×Q8C2411yescharacteristic
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×D4—42no—
827C22×D4—42no—
828C22×D4—42no—
829C22×D4C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C22×D4C2411yescharacteristic
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2411yescharacteristic
847C23×C4—44no—
848C23×C4—44no—
849C23×C4—44no—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2414yes—
862C23×C4C2414yes—
863C23×C4C2414yes—
864C23×C4C2412yes—
865C23×C4C2412yes—
866C4⋊Q8—24no—
867C4⋊Q8—44no—
868#127—28no—
869#127—42no—
870#126—44no—
871#126—44no—
872#126—44no—
873#126—48no—
874#126—48no—
875#126—48no—
876#126—48no—
877#126—84no—
878#126—84no—
879#125—28no—
880#125—42no—
881#125—42no—
882#125—42no—
883#125—48no—
884#125—48no—
885#125—82no—
886#124—42no—
887#124—42no—
888#124—42no—
889#124—42no—
890#124—44no—
891#123—48no—
892#123—48no—
893#123—48no—
894#123—44no—
895#123—44no—
896#123—44no—
897#123—84no—
898C22⋊Q8—28no—
899C22⋊Q8—42no—
900C22⋊Q8—44no—
901C22⋊Q8—44no—
902C22⋊Q8—44no—
903C22⋊Q8—44no—
904C22⋊Q8—44no—
905C22⋊Q8—42no—
906C22⋊Q8—42no—
907C22⋊Q8—42no—
908C22⋊Q8—44no—
909C22⋊Q8—44no—
910C22⋊Q8—44no—
911#121—24no—
912#121—24no—
913#121—48no—
914#121—44no—
915#121—44no—
916#121—42no—
917#121—44no—
918#121—44no—
919#121—44no—
920#121—42no—
921#121—42no—
922#121—42no—
923#121—44no—
924#121—44no—
925#121—84no—
926#121—84no—
927#120—28no—
928#120—48no—
929#120—84no—
930C4×Q8—24no—
931C4×Q8—24no—
932C4×Q8—24no—
933C4×Q8—44no—
934C4×Q8—42no—
935C4×Q8—44no—
936C4×Q8—44no—
937C4×D4—24no—
938C4×D4—24no—
939C4×D4—24no—
940C4×D4—24no—
941C4×D4—24no—
942C4×D4—44no—
943C4×D4—48no—
944C4×D4—42no—
945C4×D4—42no—
946C4×D4—48no—
947C4×D4—48no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—42no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—42no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960#117—28no—
961#117—44no—
962#117—44no—
963#117—44no—
964#117—44no—
965#117—44no—
966#117—44no—
967#117—82no—
968C2×C4⋊C4—44no—
969C2×C4⋊C4—44no—
970C2×C4⋊C4—42no—
971C2×C4⋊C4—44no—
972C2×C4⋊C4—44no—
973C2×C4⋊C4—82no—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C22⋊C4—44no—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2411yescharacteristic
1085C2×C22⋊C4C2411yescharacteristic
1086C2×C22⋊C4C2411yescharacteristic
1087C2×C22⋊C4C2411yescharacteristic
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C42—24no—
1122C2×C42—24no—
1123C2×C42C2412yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2414yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2411yescharacteristic
1132C2×C42C2412yes—
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2412yes—
1139C2×C42C2411yescharacteristic
1140C2×C42C2412yes—
1141C2×C42C2414yes—
1142C2×C42C2414yes—
1143C2×C42C2414yes—
1144C2×C42C2414yes—
1145C2×C42C2412yes—
1146C2×C42C2414yes—
1147C2×C42C2411yescharacteristic
1148C2×C42C2412yes—
1149C2×C42C2411yescharacteristic
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2411yescharacteristic
1156#95C2411yescharacteristic
1157#95C2411yescharacteristic
1158#95C2411yescharacteristic
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202C24—24no—
1203C24—42no—
1204C24—42no—
1205C24—42no—
1206C24—42no—
1207C24—42no—
1208C24—42no—
1209C24C2512yes—
1210C24C2512yes—
1211C24C2512yes—
1212C24C2512yes—
1213C24C2511yescharacteristic
1214C24C2511yescharacteristic
1215#41—816no—
1216C2×Q8—22no—
1217C2×Q8—22no—
1218C2×Q8—22no—
1219C2×Q8—24no—
1220C2×Q8—24no—
1221C2×Q8—22no—
1222C2×Q8—22no—
1223C2×Q8—22no—
1224C2×Q8—24no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—24no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—44no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—44no—
1261C2×D4—42no—
1262C2×D4—44no—
1263C2×D4—42no—
1264C2×D4—44no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—44no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—416no—
1279C2×D42−1+414yes—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—24no—
1292C22×C4—24no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—22no—
1300C22×C4—24no—
1301C22×C4—22no—
1302C22×C4—24no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—42no—
1311C22×C4—44no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—44no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4—816no—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2511yescharacteristic
1332C22×C4C2511yescharacteristic
1333C22×C4C2512yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C22×C4C2512yes—
1338C22×C4C2514yes—
1339C22×C4C2511yescharacteristic
1340C22×C4C2514yes—
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2511yescharacteristic
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2514yes—
1347C22×C4C2514yes—
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2511yescharacteristic
1351C22×C4C2512yes—
1352C22×C4C2511yescharacteristic
1353C22×C4C2512yes—
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C22×C4C2511yescharacteristic
1357C22×C4C2511yescharacteristic
1358C4⋊C4—22no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—24no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—28no—
1367C4⋊C4—28no—
1368C4⋊C4—22no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—28no—
1373C4⋊C4—24no—
1374C4⋊C4—22no—
1375C4⋊C4—24no—
1376C4⋊C4—22no—
1377C4⋊C4—24no—
1378C4⋊C4—22no—
1379C4⋊C4—24no—
1380C4⋊C4—22no—
1381C4⋊C4—24no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—42no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—42no—
1388C4⋊C4—44no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—41no—
1402C4⋊C4—42no—
1403C4⋊C4—41no—
1404C4⋊C4—42no—
1405C4⋊C4—44no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
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⋊C4—44no—
1420C4⋊C4—42no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—44no—
1426C4⋊C4—42no—
1427C4⋊C4—44no—
1428C4⋊C4H(5,𝔽2)14yes—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—28no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—28no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—44no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—44no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—41no—
1460C22⋊C4—41no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—42no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—42no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—44no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C42—22no—
1505C42—22no—
1506C42—22no—
1507C42—22no—
1508C42—22no—
1509C42—22no—
1510C42—28no—
1511C42—24no—
1512C42—22no—
1513C42—24no—
1514C42—24no—
1515C42—24no—
1516C42—22no—
1517C42—24no—
1518C42—22no—
1519C42—24no—
1520C42—22no—
1521C42—22no—
1522C42—44no—
1523C42—44no—
1524C42—44no—
1525C42—44no—
1526C42—42no—
1527C42—44no—
1528C42—41no—
1529C42—42no—
1530C42H(5,𝔽2)14yes—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
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—22no—
1567C23—22no—
1568C23—22no—
1569C23—22no—
1570C23—22no—
1571C23—48no—
1572C23—84no—
1573C23—84no—
1574C23—84no—
1575C23—84no—
1576C23—84no—
1577C23—84no—
1578C23C2×2−1+412yes—
1579C23C2×2−1+412yes—
1580C23C2611yescharacteristic
1581Q8—44no—
1582Q8—44no—
1583Q8—48no—
1584D4—44no—
1585D4—48no—
1586D4—48no—
1587D4—48no—
1588D4—44no—
1589D4—44no—
1590D4—44no—
1591D4—44no—
1592D4—84no—
1593D4—84no—
1594D4—84no—
1595D4—84no—
1596D4—84no—
1597D4—88no—
1598D4—84no—
1599D4—88no—
1600D4—164no—
1601D4—164no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—22no—
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—22no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—24no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—24no—
1627C2×C4—24no—
1628C2×C4—24no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—22no—
1647C2×C4—24no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—22no—
1654C2×C4—24no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—24no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—24no—
1662C2×C4—22no—
1663C2×C4—24no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—24no—
1674C2×C4—24no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—24no—
1680C2×C4—44no—
1681C2×C4—44no—
1682C2×C4—44no—
1683C2×C4—48no—
1684C2×C4—48no—
1685C2×C4—44no—
1686C2×C4—44no—
1687C2×C4—48no—
1688C2×C4—44no—
1689C2×C4—48no—
1690C2×C4—84no—
1691C2×C4—84no—
1692C2×C4—84no—
1693C2×C4—88no—
1694C2×C4—164no—
1695C2×C4—164no—
1696C2×C4C2×H(5,𝔽2)14yes—
1697C2×C4C2×H(5,𝔽2)12yes—
1698C2×C4C2×H(5,𝔽2)12yes—
1699C2×C4C2×H(5,𝔽2)12yes—
1700C2×C4C2×H(5,𝔽2)12yes—
1701C2×C4C2×2−1+412yes—
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—
1748C22C22×H(5,𝔽2)11yescharacteristic
1749C22C22×H(5,𝔽2)11yescharacteristic
1750C22C22×2−1+411yescharacteristic
1751C22C2×#58511yescharacteristic
1752C22C2×#58511yescharacteristic
1753C22C2×#58511yescharacteristic
1754C22H(7,𝔽2)11yescharacteristic
1755C4—24no—
1756C4—22no—
1757C4—22no—
1758C4—41no—
1759C4—42no—
1760C4—42no—
1761C4—41no—
1762C4—42no—
1763C4—41no—
1764C4—42no—
1765C4—42no—
1766C4—41no—
1767C4—44no—
1768C4—42no—
1769C4—41no—
1770C4—42no—
1771C4—41no—
1772C4—42no—
1773C4—44no—
1774C4—44no—
1775C4—42no—
1776C4—41no—
1777C4—44no—
1778C4—41no—
1779C4—41no—
1780C4—42no—
1781C4—42no—
1782C4#353914yes—
1783C4#354614yes—
1784C2—42no—
1785C2—42no—
1786C2—82no—
1787C2—82no—
1788C2—82no—
1789C2—82no—
1790C2C2×#353911yescharacteristic
1791C2C2×#354611yescharacteristic
1792C2#6282311yescharacteristic
1793C2#6292311yescharacteristic
1794C2#6293711yescharacteristic
1795C2#6294411yescharacteristic
1796C2#6301311yescharacteristic
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. #59410C2semidirect
2. #59304C2semidirect
3. #59218C2semidirect
4. #57448C2semidirect
5. #55410C2semidirect
6. #54559C2semidirect
7. #53066C2semidirect
8. #52981C2semidirect
9. #49837C2semidirect
10. #46338C2semidirect
11. #45493C2semidirect
12. #45373C2semidirect
13. #45196C2semidirect
14. #42855C2semidirect
15. #42777C2semidirect
16. #42752C2semidirect
17. #42507C2semidirect
18. #39862C2semidirect
19. #39634C2semidirect
20. #39191C2semidirect
21. #39136C2semidirect
22. #38923C2semidirect
23. #38920C2semidirect
24. #38213C2semidirect
25. #37671C2semidirect
26. #37620C2semidirect
27. #37335C2semidirect
28. #37285C2semidirect
29. #36312C2semidirect
30. #36189C2semidirect
31. #36100C2semidirect
32. #35236C2semidirect
33. #35209C2semidirect
34. #34934C2semidirect
35. #34700C2semidirect
36. C2×#556C22semidirect
37. C2×#553C22semidirect
39. C2×#541C22semidirect
42. C2×#529C22semidirect
47. #2859C22semidirect
48. #2859C22semidirect
50. #2857C22semidirect
57. #2829C22semidirect
59. #2827C22semidirect
60. #2823C22semidirect
62. #2807C22semidirect
63. #2797C22semidirect
66. #2790C22semidirect
67. #2786C22semidirect
68. #2783C22semidirect
72. #2780C22semidirect
73. #2780C22semidirect
74. #2780C22semidirect
75. #2779C22semidirect
76. #2773C22semidirect
77. #2772C22semidirect
78. #2767C22semidirect
79. #2761C22semidirect
80. #2753C22semidirect
81. #2750C22semidirect
82. #2748C22semidirect
83. #2727C22semidirect
84. #2727C22semidirect
85. #2722C22semidirect
86. #2721C22semidirect
87. #2718C22semidirect
88. #2718C22semidirect
91. #2711C22semidirect
92. #2707C22semidirect
93. #2706C22semidirect
94. #2706C22semidirect
96. #2705C22semidirect
97. #2705C22semidirect
98. #2705C22semidirect
99. #2703C22semidirect
102. #2695C22semidirect
103. #2694C22semidirect
104. #2694C22semidirect
105. #2691C22semidirect
111. #2664C22semidirect
112. #2654C22semidirect
113. #2652C22semidirect
114. #2648C22semidirect
115. #2647C22semidirect
118. #2629C22semidirect
119. #2629C22semidirect
120. #2625C22semidirect
122. #2624C22semidirect
124. #2620C22semidirect
125. #2620C22semidirect
126. #2618C22semidirect
127. #2603C22semidirect
129. #2582C22semidirect
130. #2570C22semidirect
132. #2559C22semidirect
134. #2554C22semidirect
135. #2554C22semidirect
136. #2552C22semidirect
137. #2552C22semidirect
138. #2548C22semidirect
139. #2547C22semidirect
140. #2546C22semidirect
142. #2542C22semidirect
146. #2540C22semidirect
151. #2538C22semidirect
152. #2538C22semidirect
153. #2538C22semidirect
157. #2535C22semidirect
158. #2529C22semidirect
159. #2529C22semidirect
160. #2519C22semidirect
161. #2519C22semidirect
163. #2512C22semidirect
164. #2512C22semidirect
165. #2512C22semidirect
166. #2511C22semidirect
167. #2508C22semidirect
168. #2507C22semidirect
169. #2506C22semidirect
173. #2497C22semidirect
174. #2496C22semidirect
175. #2496C22semidirect
176. #2496C22semidirect
179. #2490C22semidirect
180. #2490C22semidirect
181. #2489C22semidirect
182. #2489C22semidirect
185. #2487C22semidirect
186. #2487C22semidirect
187. #2487C22semidirect
190. #2485C22semidirect
193. #2468C22semidirect
194. #2467C22semidirect
195. #2466C22semidirect
201. #2454C22semidirect
202. #2453C22semidirect
206. #2443C22semidirect
208. #2442C22semidirect
210. #2441C22semidirect
211. #2441C22semidirect
213. #2432C22semidirect
214. #2431C22semidirect
216. #2429C22semidirect
217. #2428C22semidirect
222. #2426C22semidirect
223. #2426C22semidirect
225. #2423C22semidirect
226. #2423C22semidirect
228. #2422C22semidirect
235. #2417C22semidirect
236. #2417C22semidirect
237. #2417C22semidirect
241. #2416C22semidirect
252. #2407C22semidirect
256. #2392C22semidirect
258. #2370C22semidirect
259. #2362C22semidirect
260. #2362C22semidirect
262. #2360C22semidirect
264. #2354C22semidirect
266. #2352C22semidirect
267. Q8×C4⋊C4C22semidirect
269. D4×C4⋊C4C22semidirect
270. D4×C4⋊C4C22semidirect
271. #2346C22semidirect
272. #2345C22semidirect
273. #2341C22semidirect
277. #2324C22semidirect
278. #2323C22semidirect
279. #2323C22semidirect
280. #2317C22semidirect
281. #2316C22semidirect
282. C4×C4⋊Q8C22semidirect
284. C4×#127C22semidirect
289. C4×#121C22semidirect
291. #2295C22semidirect
293. #2293C22semidirect
295. C2×#384C22semidirect
297. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#594102
#593042
#592182
#574482
#554102
#545592
#530662
#529812
#498372
#463382
#454932
#453732
#451962
#428552
#427772
#427522
#425072
#398622
#396342
#391912
#391362
#389232
#389202
#382132
#376712
#376202
#373352
#372852
#363122
#361892
#361002
#352362
#352092
#349342
#347002