Finite Group Databasebeta

← #7746754

Subgroups — #7746754

Order 512.

4681 conjugacy classes of subgroups.

The subgroup lattice has 1773 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#45390C212yesmaximal, complemented
2#45342C212yesmaximal, complemented
3#45341C212yesmaximal, complemented
4#45305C212yesmaximal, complemented
5#45291C212yesmaximal
6#45288C212yesmaximal, complemented
7#45281C212yesmaximal, complemented
8#45122C212yesmaximal
9#45065C212yesmaximal, complemented
10#45058C212yesmaximal, complemented
11#45017C212yesmaximal, complemented
12#45014C212yesmaximal, complemented
13#42864C212yesmaximal, complemented
14#42851C212yesmaximal, complemented
15#42628C212yesmaximal, complemented
16#42597C212yesmaximal, complemented
17#42573C212yesmaximal, complemented
18#42534C212yesmaximal, complemented
19#36598C211yesmaximal, characteristic, complemented
20#36563C211yesmaximal, characteristic, complemented
21#36210C211yesmaximal, characteristic, complemented
22#36209C211yesmaximal, characteristic, complemented
23#36188C211yesmaximal, characteristic, complemented
24#36129C211yesmaximal, characteristic, complemented
25#36129C211yesmaximal, characteristic, complemented
26D4×C4⋊Q8C211yesmaximal, characteristic, complemented
27#36007C212yesmaximal, complemented
28#35911C212yesmaximal, complemented
29#35867C212yesmaximal, complemented
30#35815C212yesmaximal, complemented
31#35774C212yesmaximal
32#35723C212yesmaximal, complemented
33#35291C211yesmaximal, characteristic, complemented
34#35284C211yesmaximal, characteristic, complemented
35#35283C211yesmaximal, characteristic, complemented
36#34551C211yesmaximal, characteristic
37#34225C211yesmaximal, characteristic, complemented
38#34216C211yesmaximal, characteristic, complemented
39#34209C211yesmaximal, characteristic, complemented
40C2×#556C2212yes—
41C2×D4×Q8C2212yes—
42C2×#533C2211yescharacteristic
43C22×C4⋊Q8C2211yescharacteristic
44C22×C4⋊Q8C2211yescharacteristic
45C2×#519C2212yes—
46#2868C2211yescharacteristic
47#2868C2211yescharacteristic
48#2862C2211yescharacteristic
49#2862C2211yescharacteristic
50#2859C2211yescharacteristic
51#2859C2211yescharacteristic
52#2857C2211yescharacteristic
53#2857C2211yescharacteristic
54#2857C2211yescharacteristic
55#2857C2211yescharacteristic
56#2857C2211yescharacteristic
57#2857C2211yescharacteristic
58#2839C2214yes—
59#2831C2214yes—
60#2809C2214yes—
61#2805C2214yes—
62#2799C2214yes—
63#2793C2214yes—
64#2789C2214yes—
65#2787C2214yes—
66#2783C2214yes—
67#2781C2214yes—
68#2776C2214yes—
69#2776C2214yes—
70#2772C2214yes—
71#2767C2214yes—
72#2762C2214yes—
73#2762C2214yes—
74#2759C2214yes—
75#2758C2214yes—
76#2755C2214yes—
77#2747C2214yes—
78#2744C2214yes—
79#2738C2214yes—
80#2716C2214yes—
81#2702C2214yes—
82#2700C2214yes—
83#2689C2214yes—
84#2666C2214yes—
85#2666C2214yes—
86#2655C2214yes—
87#2649C2214yes—
88#2647C2212yes—
89#2647C2212yes—
90#2645C2212yes—
91#2637C2214yes—
92#2629C2212yes—
93#2628C2212yes—
94#2625C2214yes—
95#2625C2212yes—
96#2612C2214yes—
97#2605C2214yes—
98#2605C2214yes—
99#2604C2214yes—
100#2590C2214yes—
101#2589C2214yes—
102#2588C2214yes—
103#2585C2214yes—
104#2582C2212yes—
105#2582C2212yes—
106#2581C2214yes—
107#2574C2214yes—
108#2573C2214yes—
109#2571C2212yes—
110#2570C2214yes—
111#2570C2212yes—
112#2570C2212yes—
113#2568C2212yes—
114#2568C2212yes—
115#2567C2212yes—
116#2562C2212yes—
117#2552C2212yes—
118#2551C2212yes—
119#2551C2212yes—
120#2550C2212yes—
121#2550C2212yes—
122#2550C2212yes—
123#2550C2212yes—
124#2547C2212yes—
125#2547C2212yes—
126#2546C2212yes—
127#2536C2212yes—
128#2530C2214yes—
129#2527C2214yes—
130#2525C2214yes—
131#2523C2214yes—
132#2514C2212yes—
133#2514C2212yes—
134#2511C2212yes—
135#2511C2212yes—
136#2511C2212yes—
137#2511C2212yes—
138#2509C2212yes—
139#2509C2212yes—
140#2508C2212yes—
141#2508C2212yes—
142#2508C2212yes—
143#2507C2212yes—
144#2507C2212yes—
145#2507C2212yes—
146#2507C2212yes—
147#2499C2214yes—
148#2499C2212yes—
149#2499C2212yes—
150#2497C2212yes—
151#2497C2212yes—
152#2496C2212yes—
153#2496C2212yes—
154#2496C2212yes—
155#2496C2212yes—
156#2495C2212yes—
157#2495C2212yes—
158#2495C2212yes—
159#2495C2212yes—
160#2494C2212yes—
161#2494C2212yes—
162#2494C2212yes—
163#2492C2212yes—
164#2492C2212yes—
165#2492C2212yes—
166#2492C2212yes—
167#2489C2212yes—
168#2489C2212yes—
169#2489C2212yes—
170#2485C2214yes—
171#2485C2212yes—
172#2485C2212yes—
173#2485C2212yes—
174#2478C2214yes—
175#2478C2214yes—
176#2474C2214yes—
177#2474C2214yes—
178#2468C2214yes—
179#2465C2214yes—
180#2459C2214yes—
181#2453C2212yes—
182#2451C2212yes—
183#2451C2212yes—
184#2451C2212yes—
185#2451C2214yes—
186#2451C2212yes—
187#2451C2212yes—
188#2451C2212yes—
189#2446C2214yes—
190#2446C2214yes—
191#2446C2212yes—
192#2446C2212yes—
193#2446C2212yes—
194#2446C2212yes—
195#2446C2212yes—
196#2446C2212yes—
197#2442C2212yes—
198#2442C2212yes—
199#2440C2212yes—
200#2440C2212yes—
201#2440C2212yes—
202#2440C2212yes—
203#2439C2212yes—
204#2439C2212yes—
205#2434C2212yes—
206#2434C2212yes—
207#2429C2212yes—
208#2429C2212yes—
209#2429C2212yes—
210#2429C2212yes—
211#2423C2212yes—
212#2423C2214yes—
213#2423C2212yes—
214#2421C2214yes—
215#2421C2212yes—
216#2421C2212yes—
217#2417C2212yes—
218#2417C2212yes—
219#2415C2212yes—
220#2409C2212yes—
221#2409C2212yes—
222#2402C2211yescharacteristic
223#2402C2211yescharacteristic
224#2402C2211yescharacteristic
225#2401C2211yescharacteristic
226#2401C2211yescharacteristic
227#2401C2211yescharacteristic
228#2401C2211yescharacteristic
229#2401C2211yescharacteristic
230#2401C2211yescharacteristic
231#2399C2214yes—
232#2398C2211yescharacteristic
233#2398C2211yescharacteristic
234#2398C2211yescharacteristic
235#2396C2211yescharacteristic
236#2396C2211yescharacteristic
237#2396C2211yescharacteristic
238#2395C2211yescharacteristic
239#2395C2214yes—
240#2395C2211yescharacteristic
241#2395C2211yescharacteristic
242#2395C2211yescharacteristic
243#2395C2211yescharacteristic
244#2395C2211yescharacteristic
245#2392C2211yescharacteristic
246#2392C2211yescharacteristic
247#2392C2211yescharacteristic
248#2370C2212yes—
249#2370C2212yes—
250#2370C2212yes—
251#2369C2212yes—
252#2369C2212yes—
253#2369C2212yes—
254#2365C2212yes—
255#2365C2212yes—
256#2365C2212yes—
257#2365C2212yes—
258#2365C2212yes—
259#2365C2212yes—
260#2365C2212yes—
261#2365C2212yes—
262#2365C2212yes—
263#2362C2212yes—
264#2362C2212yes—
265#2362C2212yes—
266#2360C2212yes—
267#2360C2212yes—
268#2356C2212yes—
269#2356C2212yes—
270#2355C2212yes—
271#2355C2212yes—
272#2355C2212yes—
273#2352C2212yes—
274#2352C2212yes—
275#2351C2212yes—
276Q8×C4⋊C4C2212yes—
277D4×C4⋊C4C2212yes—
278D4×C4⋊C4C2212yes—
279#2347C2212yes—
280#2347C2212yes—
281#2346C2212yes—
282#2346C2212yes—
283#2346C2212yes—
284#2345C2212yes—
285#2345C2212yes—
286#2344C2212yes—
287#2344C2212yes—
288#2344C2212yes—
289#2344C2212yes—
290Q8×C22⋊C4C2212yes—
291Q8×C22⋊C4C2212yes—
292Q8×C22⋊C4C2212yes—
293Q8×C22⋊C4C2212yes—
294#2331C2212yes—
295#2331C2212yes—
296#2331C2212yes—
297#2330C2212yes—
298#2327C2212yes—
299#2327C2212yes—
300#2323C2212yes—
301#2323C2212yes—
302#2323C2212yes—
303#2320C2212yes—
304#2320C2212yes—
305#2316C2212yes—
306#2314C2212yes—
307#2314C2212yes—
308#2310C2212yes—
309C4×C4⋊Q8C2211yescharacteristic
310C4×C4⋊Q8C2211yescharacteristic
311C4×C4⋊Q8C2211yescharacteristic
312C4×C4⋊Q8C2211yescharacteristic
313C4×C4⋊Q8C2211yescharacteristic
314C4×C4⋊Q8C2211yescharacteristic
315C4×C4⋊Q8C2211yescharacteristic
316C4×C4⋊Q8C2211yescharacteristic
317C4×C4⋊Q8C2211yescharacteristic
318C4×C4⋊Q8C2211yescharacteristic
319#2285C2211yescharacteristic
320#2285C2211yescharacteristic
321#2285C2211yescharacteristic
322#2276C2212yes—
323#2274C2212yes—
324C42×Q8C2211yescharacteristic
325C42×D4C2211yescharacteristic
326C42×D4C2211yescharacteristic
327C42×D4C2211yescharacteristic
328C4×#117C2211yescharacteristic
329C4×#117C2211yescharacteristic
330C4×#117C2211yescharacteristic
331C23×Q8C2312yes—
332C23×Q8C2312yes—
333#556—48no—
334D4×Q8—48no—
335#533—28no—
336C2×C4⋊Q8—28no—
337C2×C4⋊Q8—28no—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2312yes—
349C2×C4⋊Q8C2312yes—
350C2×C4⋊Q8C2312yes—
351C2×C4⋊Q8C2312yes—
352C2×C4⋊Q8C2314yes—
353C2×C4⋊Q8C2311yescharacteristic
354C2×#126C2314yes—
355C2×#126C2314yes—
356C2×#125C2312yes—
357C2×#125C2312yes—
358C2×#125C2312yes—
359C2×#124C2314yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2314yes—
369C2×C22⋊Q8C2314yes—
370#519—48no—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2314yes—
387C2×C4×Q8C2314yes—
388C2×C4×Q8C2314yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2314yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2311yescharacteristic
399C2×#117C2312yes—
400C2×#117C2311yescharacteristic
401C2×#117C2311yescharacteristic
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2311yescharacteristic
405C2×#117C2311yescharacteristic
406C2×#117C2311yescharacteristic
407C2×#117C2311yescharacteristic
408C2×#117C2314yes—
409C2×#117C2314yes—
410C2×#117C2312yes—
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C42C2311yescharacteristic
416C22×C42C2311yescharacteristic
417C22×C42C2311yescharacteristic
418#401C2314yes—
419#401C2314yes—
420#401C2311yescharacteristic
421#401C2311yescharacteristic
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2311yescharacteristic
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2311yescharacteristic
434#400C2314yes—
435#400C2311yescharacteristic
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2311yescharacteristic
440#400C2314yes—
441#400C2311yescharacteristic
442#400C2311yescharacteristic
443#400C2314yes—
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#400C2314yes—
448#400C2314yes—
449#400C2311yescharacteristic
450#400C2311yescharacteristic
451#400C2311yescharacteristic
452#400C2311yescharacteristic
453#400C2311yescharacteristic
454#400C2311yescharacteristic
455#400C2311yescharacteristic
456#400C2311yescharacteristic
457#400C2311yescharacteristic
458#399C2314yes—
459#399C2311yescharacteristic
460#399C2311yescharacteristic
461#399C2311yescharacteristic
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2314yes—
471#398C2314yes—
472#398C2314yes—
473#398C2314yes—
474#398C2314yes—
475#398C2314yes—
476#398C2314yes—
477#398C2311yescharacteristic
478#398C2314yes—
479#398C2314yes—
480#398C2311yescharacteristic
481#398C2314yes—
482#398C2314yes—
483#398C2314yes—
484#398C2311yescharacteristic
485#398C2311yescharacteristic
486#398C2311yescharacteristic
487#398C2311yescharacteristic
488#398C2311yescharacteristic
489#398C2311yescharacteristic
490#398C2311yescharacteristic
491#397C2314yes—
492#397C2311yescharacteristic
493#397C2314yes—
494#397C2314yes—
495#397C2311yescharacteristic
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2311yescharacteristic
501#397C2311yescharacteristic
502#397C2311yescharacteristic
503#397C2311yescharacteristic
504#397C2314yes—
505#397C2314yes—
506#397C2311yescharacteristic
507#397C2311yescharacteristic
508#397C2311yescharacteristic
509#397C2311yescharacteristic
510#397C2311yescharacteristic
511#397C2311yescharacteristic
512#397C2311yescharacteristic
513#397C2311yescharacteristic
514#397C2311yescharacteristic
515#397C2314yes—
516#396C2311yescharacteristic
517#396C2311yescharacteristic
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2311yescharacteristic
523#396C2311yescharacteristic
524#396C2311yescharacteristic
525#396C2311yescharacteristic
526#395C2314yes—
527#395C2314yes—
528#395C2314yes—
529#395C2314yes—
530#395C2314yes—
531#395C2314yes—
532#395C2314yes—
533#395C2311yescharacteristic
534#395C2314yes—
535#395C2314yes—
536#394C2314yes—
537#394C2311yescharacteristic
538#394C2311yescharacteristic
539#394C2311yescharacteristic
540#394C2311yescharacteristic
541#394C2311yescharacteristic
542#394C2311yescharacteristic
543#394C2311yescharacteristic
544#394C2311yescharacteristic
545#394C2311yescharacteristic
546#394C2314yes—
547#393C2314yes—
548#393C2314yes—
549#393C2311yescharacteristic
550#393C2314yes—
551#393C2311yescharacteristic
552#393C2311yescharacteristic
553#392C2311yescharacteristic
554#391C2312yes—
555#391C2312yes—
556#391C2312yes—
557#391C2312yes—
558#391C2312yes—
559#391C2312yes—
560#391C2312yes—
561#391C2312yes—
562#391C2312yes—
563#391C2312yes—
564#391C2314yes—
565#391C2314yes—
566#391C2314yes—
567#391C2314yes—
568#391C2312yes—
569#391C2312yes—
570#391C2314yes—
571#391C2314yes—
572#391C2312yes—
573#391C2312yes—
574#391C2314yes—
575#391C2312yes—
576#391C2314yes—
577#391C2314yes—
578#391C2312yes—
579#391C2312yes—
580#391C2314yes—
581#391C2314yes—
582#391C2314yes—
583#391C2314yes—
584#391C2314yes—
585#391C2312yes—
586#391C2314yes—
587#391C2314yes—
588#391C2314yes—
589#391C2314yes—
590#391C2312yes—
591#391C2312yes—
592#391C2312yes—
593#391C2312yes—
594#391C2312yes—
595#391C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2314yes—
619#389C2314yes—
620#389C2314yes—
621#389C2314yes—
622#389C2314yes—
623#389C2314yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2314yes—
628#389C2314yes—
629#389C2314yes—
630#389C2314yes—
631#389C2314yes—
632#389C2312yes—
633#389C2314yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2314yes—
639#389C2314yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2312yes—
650#389C2314yes—
651#389C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#386C2314yes—
721#386C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#384C2311yescharacteristic
729#384C2311yescharacteristic
730#384C2311yescharacteristic
731#384C2311yescharacteristic
732#384C2314yes—
733#384C2312yes—
734#384C2312yes—
735#384C2312yes—
736#384C2312yes—
737#384C2312yes—
738#384C2312yes—
739#384C2312yes—
740#383C2314yes—
741#383C2314yes—
742#383C2314yes—
743#383C2314yes—
744#382C2314yes—
745#382C2312yes—
746#382C2312yes—
747#382C2312yes—
748#382C2312yes—
749#382C2312yes—
750#382C2314yes—
751#382C2312yes—
752#382C2314yes—
753#382C2312yes—
754#382C2314yes—
755#382C2314yes—
756#382C2312yes—
757#382C2312yes—
758#381C2314yes—
759#381C2314yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2314yes—
768#380C2314yes—
769#380C2314yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2314yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2314yes—
806C4×C4⋊C4C2314yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2314yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2314yes—
811C4×C4⋊C4C2314yes—
812C4×C4⋊C4C2314yes—
813C4×C4⋊C4C2314yes—
814C4×C4⋊C4C2314yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2311yescharacteristic
828C4×C4⋊C4C2311yescharacteristic
829C4×C4⋊C4C2311yescharacteristic
830C4×C4⋊C4C2311yescharacteristic
831C4×C4⋊C4C2311yescharacteristic
832C4×C4⋊C4C2311yescharacteristic
833C4×C4⋊C4C2311yescharacteristic
834C4×C4⋊C4C2311yescharacteristic
835C4×C4⋊C4C2311yescharacteristic
836C4×C4⋊C4C2311yescharacteristic
837C4×C4⋊C4C2311yescharacteristic
838C4×C4⋊C4C2311yescharacteristic
839C4×C4⋊C4C2311yescharacteristic
840C4×C4⋊C4C2311yescharacteristic
841C4×C4⋊C4C2311yescharacteristic
842C4×C4⋊C4C2311yescharacteristic
843C4×C4⋊C4C2311yescharacteristic
844C4×C4⋊C4C2311yescharacteristic
845C4×C4⋊C4C2311yescharacteristic
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2314yes—
849C4×C22⋊C4C2311yescharacteristic
850C4×C22⋊C4C2311yescharacteristic
851C4×C22⋊C4C2311yescharacteristic
852C4×C22⋊C4C2311yescharacteristic
853C4×C22⋊C4C2314yes—
854C4×C22⋊C4C2311yescharacteristic
855C4×C22⋊C4C2311yescharacteristic
856C4×C22⋊C4C2311yescharacteristic
857C4×C22⋊C4C2311yescharacteristic
858C4×C22⋊C4C2311yescharacteristic
859C4×C22⋊C4C2311yescharacteristic
860C4×C22⋊C4C2311yescharacteristic
861C4×C22⋊C4C2311yescharacteristic
862C4×C22⋊C4C2311yescharacteristic
863C4×C22⋊C4C2311yescharacteristic
864C4×C22⋊C4C2311yescharacteristic
865C4×C22⋊C4C2311yescharacteristic
866C4×C22⋊C4C2311yescharacteristic
867C4×C22⋊C4C2311yescharacteristic
868C4×C22⋊C4C2311yescharacteristic
869C4×C22⋊C4C2311yescharacteristic
870C4×C22⋊C4C2311yescharacteristic
871C4×C22⋊C4C2311yescharacteristic
872C4×C22⋊C4C2311yescharacteristic
873C4×C22⋊C4C2311yescharacteristic
874C4×C22⋊C4C2311yescharacteristic
875C4×C22⋊C4C2311yescharacteristic
876C4×C22⋊C4C2311yescharacteristic
877C4×C22⋊C4C2311yescharacteristic
878C4×C22⋊C4C2311yescharacteristic
879C4×C22⋊C4C2311yescharacteristic
880#376C2311yescharacteristic
881#376C2311yescharacteristic
882#376C2311yescharacteristic
883#376C2311yescharacteristic
884#376C2311yescharacteristic
885#376C2314yes—
886#376C2314yes—
887#376C2311yescharacteristic
888C43C2311yescharacteristic
889C43C2311yescharacteristic
890C43C2311yescharacteristic
891C43C2311yescharacteristic
892C22×Q8—28no—
893C22×Q8—28no—
894C22×Q8—28no—
895C22×Q8—44no—
896C22×Q8—44no—
897C22×Q8—44no—
898C22×Q8C2412yes—
899C22×Q8C2412yes—
900C22×Q8C2412yes—
901C22×Q8C2411yescharacteristic
902C22×Q8C2414yes—
903C22×Q8C2412yes—
904C22×Q8C2414yes—
905C22×Q8C2414yes—
906C22×D4C2411yescharacteristic
907C22×D4C2411yescharacteristic
908C22×D4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2411yescharacteristic
912C23×C4C2411yescharacteristic
913C23×C4C2411yescharacteristic
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2414yes—
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2414yes—
920C4⋊Q8—28no—
921C4⋊Q8—28no—
922C4⋊Q8—28no—
923C4⋊Q8—28no—
924C4⋊Q8—28no—
925C4⋊Q8—28no—
926C4⋊Q8—24no—
927C4⋊Q8—24no—
928C4⋊Q8—24no—
929C4⋊Q8—28no—
930C4⋊Q8—44no—
931C4⋊Q8—44no—
932C4⋊Q8—44no—
933C4⋊Q8—44no—
934C4⋊Q8—48no—
935C4⋊Q8#4118yes—
936#126—48no—
937#126—48no—
938#125—28no—
939#125—44no—
940#125—44no—
941#124—48no—
942C22⋊Q8—28no—
943C22⋊Q8—28no—
944C22⋊Q8—28no—
945C22⋊Q8—48no—
946C22⋊Q8—48no—
947C22⋊Q8—44no—
948C22⋊Q8—44no—
949C22⋊Q8—44no—
950C22⋊Q8—44no—
951C22⋊Q8—44no—
952C4×Q8—28no—
953C4×Q8—28no—
954C4×Q8—28no—
955C4×Q8—24no—
956C4×Q8—24no—
957C4×Q8—42no—
958C4×Q8—48no—
959C4×Q8—44no—
960C4×Q8—44no—
961C4×Q8—44no—
962C4×Q8—44no—
963C4×Q8—44no—
964C4×Q8—44no—
965C4×Q8—44no—
966C4×Q8—48no—
967C4×Q8—48no—
968C4×Q8—44no—
969C4×Q8—44no—
970C4×D4—24no—
971C4×D4—24no—
972C4×D4—24no—
973C4×D4—24no—
974C4×D4—24no—
975C4×D4—24no—
976C4×D4—42no—
977C4×D4—42no—
978C4×D4—42no—
979C4×D4—48no—
980#117—24no—
981#117—28no—
982#117—24no—
983#117—28no—
984#117—28no—
985#117—24no—
986#117—24no—
987#117—42no—
988#117—42no—
989#117—48no—
990#117—48no—
991#117—44no—
992C2×C4⋊C4—28no—
993C2×C4⋊C4—28no—
994C2×C4⋊C4—28no—
995C2×C4⋊C4—28no—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C22⋊C4C2411yescharacteristic
1080C2×C22⋊C4C2411yescharacteristic
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2411yescharacteristic
1085C2×C22⋊C4C2411yescharacteristic
1086C2×C22⋊C4C2411yescharacteristic
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2411yescharacteristic
1089C2×C22⋊C4C2411yescharacteristic
1090C2×C22⋊C4C2411yescharacteristic
1091C2×C22⋊C4C2411yescharacteristic
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2411yescharacteristic
1094C2×C22⋊C4C2411yescharacteristic
1095C2×C22⋊C4C2411yescharacteristic
1096C2×C22⋊C4C2411yescharacteristic
1097C2×C22⋊C4C2411yescharacteristic
1098C2×C22⋊C4C2411yescharacteristic
1099C2×C22⋊C4C2411yescharacteristic
1100C2×C22⋊C4C2411yescharacteristic
1101C2×C22⋊C4C2411yescharacteristic
1102C2×C22⋊C4C2411yescharacteristic
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2411yescharacteristic
1105C2×C22⋊C4C2411yescharacteristic
1106C2×C22⋊C4C2411yescharacteristic
1107C2×C22⋊C4C2411yescharacteristic
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2411yescharacteristic
1110C2×C22⋊C4C2411yescharacteristic
1111C2×C22⋊C4C2411yescharacteristic
1112C2×C22⋊C4C2411yescharacteristic
1113C2×C22⋊C4C2411yescharacteristic
1114C2×C22⋊C4C2411yescharacteristic
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C42—24no—
1120C2×C42—24no—
1121C2×C42—24no—
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2414yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2414yes—
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2414yes—
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2414yes—
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157C2×C42C2414yes—
1158C2×C42C2414yes—
1159C2×C42C2414yes—
1160C2×C42C2414yes—
1161C2×C42C2414yes—
1162C2×C42C2414yes—
1163C2×C42C2414yes—
1164C2×C42C2414yes—
1165C2×C42C2414yes—
1166C2×C42C2414yes—
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170#95C2411yescharacteristic
1171#95C2411yescharacteristic
1172#95C2411yescharacteristic
1173#95C2411yescharacteristic
1174#95C2411yescharacteristic
1175#95C2411yescharacteristic
1176#95C2411yescharacteristic
1177#95C2411yescharacteristic
1178#95C2411yescharacteristic
1179#95C2411yescharacteristic
1180#95C2411yescharacteristic
1181#95C2411yescharacteristic
1182#95C2411yescharacteristic
1183#95C2411yescharacteristic
1184#95C2411yescharacteristic
1185#95C2411yescharacteristic
1186#95C2411yescharacteristic
1187#95C2411yescharacteristic
1188#95C2411yescharacteristic
1189#95C2411yescharacteristic
1190#95C2411yescharacteristic
1191#95C2411yescharacteristic
1192#95C2411yescharacteristic
1193#95C2411yescharacteristic
1194#95C2411yescharacteristic
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2411yescharacteristic
1202#95C2411yescharacteristic
1203#95C2411yescharacteristic
1204#95C2411yescharacteristic
1205#95C2411yescharacteristic
1206#95C2411yescharacteristic
1207#95C2411yescharacteristic
1208#95C2411yescharacteristic
1209#95C2411yescharacteristic
1210#95C2411yescharacteristic
1211#95C2411yescharacteristic
1212#95C2411yescharacteristic
1213#95C2411yescharacteristic
1214#95C2411yescharacteristic
1215#95C2411yescharacteristic
1216#95C2411yescharacteristic
1217#95C2411yescharacteristic
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2411yescharacteristic
1227#95C2411yescharacteristic
1228#95C2411yescharacteristic
1229#95C2411yescharacteristic
1230#95C2411yescharacteristic
1231#95C2411yescharacteristic
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268C24C2511yescharacteristic
1269C24C2511yescharacteristic
1270C24C2511yescharacteristic
1271C2×Q8—24no—
1272C2×Q8—28no—
1273C2×Q8—24no—
1274C2×Q8—24no—
1275C2×Q8—28no—
1276C2×Q8—24no—
1277C2×Q8—28no—
1278C2×Q8—24no—
1279C2×Q8—24no—
1280C2×Q8—22no—
1281C2×Q8—22no—
1282C2×Q8—24no—
1283C2×Q8—28no—
1284C2×Q8—24no—
1285C2×Q8—24no—
1286C2×Q8—24no—
1287C2×Q8—24no—
1288C2×Q8—41no—
1289C2×Q8—44no—
1290C2×Q8—44no—
1291C2×Q8—44no—
1292C2×Q8—44no—
1293C2×Q8—44no—
1294C2×Q8—432no—
1295C2×Q8—816no—
1296C2×Q8C2×#4118yes—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—41no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—28no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—28no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—28no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4H(5,𝔽2)14yes—
1338C22×C42−1+414yes—
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C22×C4C2514yes—
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C22×C4C2511yescharacteristic
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C22×C4C2514yes—
1350C22×C4C2511yescharacteristic
1351C22×C4C2511yescharacteristic
1352C22×C4C2511yescharacteristic
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C22×C4C2514yes—
1357C22×C4C2514yes—
1358C22×C4C2514yes—
1359C22×C4C2514yes—
1360C22×C4C2514yes—
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2514yes—
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C22×C4C2511yescharacteristic
1372C22×C4C2511yescharacteristic
1373C22×C4C2511yescharacteristic
1374C22×C4C2511yescharacteristic
1375C4⋊C4—28no—
1376C4⋊C4—28no—
1377C4⋊C4—28no—
1378C4⋊C4—28no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—28no—
1385C4⋊C4—28no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—24no—
1391C4⋊C4—24no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—28no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—22no—
1398C4⋊C4—22no—
1399C4⋊C4—24no—
1400C4⋊C4—24no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—22no—
1407C4⋊C4—22no—
1408C4⋊C4—22no—
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—24no—
1412C4⋊C4—28no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—28no—
1416C4⋊C4—24no—
1417C4⋊C4—24no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—24no—
1422C4⋊C4—41no—
1423C4⋊C4—41no—
1424C4⋊C4—41no—
1425C4⋊C4—41no—
1426C4⋊C4—44no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—41no—
1431C4⋊C4—41no—
1432C4⋊C4—41no—
1433C4⋊C4—44no—
1434C4⋊C4—41no—
1435C4⋊C4—41no—
1436C4⋊C4—44no—
1437C4⋊C4—41no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—44no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4C2×#4118yes—
1457C4⋊C4C2×#4118yes—
1458C22⋊C4—22no—
1459C22⋊C4—22no—
1460C22⋊C4—28no—
1461C22⋊C4—22no—
1462C22⋊C4—22no—
1463C22⋊C4—28no—
1464C22⋊C4—22no—
1465C22⋊C4—28no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—22no—
1469C22⋊C4—28no—
1470C22⋊C4—22no—
1471C22⋊C4—22no—
1472C22⋊C4—22no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—44no—
1487C22⋊C4—41no—
1488C22⋊C4—41no—
1489C22⋊C4—41no—
1490C22⋊C4—41no—
1491C22⋊C4—41no—
1492C22⋊C4—41no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C42—22no—
1499C42—22no—
1500C42—22no—
1501C42—22no—
1502C42—22no—
1503C42—22no—
1504C42—22no—
1505C42—22no—
1506C42—22no—
1507C42—28no—
1508C42—22no—
1509C42—22no—
1510C42—28no—
1511C42—22no—
1512C42—22no—
1513C42—28no—
1514C42—22no—
1515C42—22no—
1516C42—22no—
1517C42—22no—
1518C42—22no—
1519C42—22no—
1520C42—22no—
1521C42—22no—
1522C42—28no—
1523C42—22no—
1524C42—22no—
1525C42—22no—
1526C42—22no—
1527C42—22no—
1528C42—22no—
1529C42—22no—
1530C42—22no—
1531C42—22no—
1532C42—22no—
1533C42—44no—
1534C42—44no—
1535C42—44no—
1536C42—44no—
1537C42—44no—
1538C42—44no—
1539C42—44no—
1540C42—44no—
1541C42—44no—
1542C42—44no—
1543C42C2×#4114yes—
1544C422−1+414yes—
1545C422−1+414yes—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23C2×H(5,𝔽2)12yes—
1566C23C2×2−1+412yes—
1567C23C2611yescharacteristic
1568Q8—216no—
1569Q8—44no—
1570Q8—416no—
1571Q8—48no—
1572Q8—48no—
1573Q8—48no—
1574Q8—88no—
1575Q8—88no—
1576D4—28no—
1577D4—44no—
1578D4—44no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—24no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—24no—
1592C2×C4—21no—
1593C2×C4—28no—
1594C2×C4—28no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—24no—
1603C2×C4—24no—
1604C2×C4—24no—
1605C2×C4—24no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—24no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—24no—
1615C2×C4—24no—
1616C2×C4—24no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—24no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—24no—
1630C2×C4—24no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—24no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—24no—
1647C2×C4—24no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—24no—
1662C2×C4—24no—
1663C2×C4—24no—
1664C2×C4—24no—
1665C2×C4—21no—
1666C2×C4—24no—
1667C2×C4—24no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—24no—
1672C2×C4—21no—
1673C2×C4—416no—
1674C2×C4—44no—
1675C2×C4—44no—
1676C2×C4—44no—
1677C2×C4—44no—
1678C2×C4—44no—
1679C2×C4—44no—
1680C2×C4—44no—
1681C2×C4—88no—
1682C2×C4C22×#4118yes—
1683C2×C4C22×#4112yes—
1684C2×C4C22×#4112yes—
1685C2×C4C22×#4112yes—
1686C2×C4C2×H(5,𝔽2)12yes—
1687C2×C4C2×H(5,𝔽2)12yes—
1688C2×C4C2×2−1+412yes—
1689C2×C4C2×2−1+412yes—
1690C2×C4C2×2−1+412yes—
1691C2×C4C2×2−1+412yes—
1692C2×C4C2×2−1+412yes—
1693C2×C4C2×2−1+412yes—
1694C2×C4C2×2−1+412yes—
1695C2×C4C2×2−1+412yes—
1696C2×C4#58512yes—
1697C2×C4#58512yes—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—22no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22C23×#4111yescharacteristic
1720C22C22×H(5,𝔽2)11yescharacteristic
1721C22C22×2−1+411yescharacteristic
1722C22C22×2−1+411yescharacteristic
1723C22C22×2−1+411yescharacteristic
1724C22C2×#58511yescharacteristic
1725C22C2×#58511yescharacteristic
1726C4—22no—
1727C4—28no—
1728C4—22no—
1729C4—22no—
1730C4—22no—
1731C4—22no—
1732C4—22no—
1733C4—41no—
1734C4—44no—
1735C4—41no—
1736C4—44no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—44no—
1743C4—44no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—44no—
1751C4—44no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—44no—
1758C4—41no—
1759C4#351314yes—
1760C4#351814yes—
1761C4#352314yes—
1762C2—42no—
1763C2—42no—
1764C2—81no—
1765C2C2×#351311yescharacteristic
1766C2C2×#352311yescharacteristic
1767C2C2×#351811yescharacteristic
1768C2#6283311yescharacteristic
1769C2#6283511yescharacteristic
1770C2#6283711yescharacteristic
1771C2#6283811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#392C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #45390C2semidirect
2. #45342C2semidirect
3. #45341C2semidirect
4. #45305C2semidirect
6. #45288C2semidirect
7. #45281C2semidirect
9. #45065C2semidirect
10. #45058C2semidirect
11. #45017C2semidirect
12. #45014C2semidirect
13. #42864C2semidirect
14. #42851C2semidirect
15. #42628C2semidirect
16. #42597C2semidirect
17. #42573C2semidirect
18. #42534C2semidirect
19. #36598C2semidirect
20. #36563C2semidirect
21. #36210C2semidirect
22. #36209C2semidirect
23. #36188C2semidirect
24. #36129C2semidirect
25. #36129C2semidirect
26. D4×C4⋊Q8C2semidirect
27. #36007C2semidirect
28. #35911C2semidirect
29. #35867C2semidirect
30. #35815C2semidirect
32. #35723C2semidirect
33. #35291C2semidirect
34. #35284C2semidirect
35. #35283C2semidirect
37. #34225C2semidirect
38. #34216C2semidirect
39. #34209C2semidirect

Maximal subgroups

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

subgroupindex
#453902
#453422
#453412
#453052
#452912
#452882
#452812
#451222
#450652
#450582
#450172
#450142
#428642
#428512
#426282
#425972
#425732
#425342
#365982
#365632
#362102
#362092
#361882
#361292
D4×C4⋊Q82
#360072
#359112
#358672
#358152
#357742
#357232
#352912
#352842
#352832
#345512
#342252
#342162
#342092