Finite Group Databasebeta

← #8424441

Subgroups — #8424441

Order 512.

5219 conjugacy classes of subgroups.

The subgroup lattice has 1866 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59410C211yesmaximal, characteristic, complemented
2#59218C211yesmaximal, characteristic, complemented
3#59213C211yesmaximal, characteristic, complemented
4#59053C212yesmaximal, complemented
5#59053C212yesmaximal, complemented
6#55589C214yesmaximal, complemented
7#55585C214yesmaximal, complemented
8#53059C212yesmaximal, complemented
9#53055C212yesmaximal, complemented
10#53044C212yesmaximal, complemented
11#52956C212yesmaximal, complemented
12#52592C214yesmaximal, complemented
13#42991C212yesmaximal, complemented
14#42640C212yesmaximal, complemented
15#42462C212yesmaximal, complemented
16#42433C212yesmaximal, complemented
17#41126C214yesmaximal, complemented
18#40118C212yesmaximal, complemented
19#39902C212yesmaximal, complemented
20#39471C211yesmaximal, characteristic, complemented
21#39468C211yesmaximal, characteristic, complemented
22#39462C212yesmaximal, complemented
23#39340C211yesmaximal, characteristic, complemented
24#39136C211yesmaximal, characteristic, complemented
25#37785C212yesmaximal, complemented
26#37639C211yesmaximal, characteristic, complemented
27#37621C212yesmaximal, complemented
28#37621C211yesmaximal, characteristic, complemented
29#37516C212yesmaximal, complemented
30#36468C211yesmaximal, characteristic, complemented
31#36210C211yesmaximal, characteristic, complemented
32#36114C211yesmaximal, characteristic, complemented
33#34932C211yesmaximal, characteristic, complemented
34#34925C211yesmaximal, characteristic, complemented
35#34889C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#553C2212yes—
38C2×#553C2212yes—
39C2×#547C2211yescharacteristic
40C2×#537C2212yes—
41C2×#532C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#532C2212yes—
44C2×#532C2211yescharacteristic
45C2×#529C2212yes—
46C2×#529C2211yescharacteristic
47C2×#529C2212yes—
48#2859C2211yescharacteristic
49#2857C2211yescharacteristic
50#2857C2211yescharacteristic
51#2854C2212yes—
52#2851C2212yes—
53#2838C2214yes—
54#2830C2214yes—
55#2829C2214yes—
56#2828C2214yes—
57#2826C2214yes—
58#2825C2214yes—
59#2825C2214yes—
60#2824C2214yes—
61#2819C2214yes—
62#2818C2214yes—
63#2815C2214yes—
64#2813C2214yes—
65#2813C2214yes—
66#2813C2214yes—
67#2808C2214yes—
68#2803C2214yes—
69#2784C2214yes—
70#2783C2214yes—
71#2781C2214yes—
72#2767C2214yes—
73#2749C2214yes—
74#2745C2214yes—
75#2742C2214yes—
76#2737C2214yes—
77#2727C2214yes—
78#2723C2214yes—
79#2716C2214yes—
80#2715C2214yes—
81#2714C2214yes—
82#2714C2214yes—
83#2714C2214yes—
84#2714C2214yes—
85#2710C2214yes—
86#2708C2214yes—
87#2705C2214yes—
88#2705C2214yes—
89#2705C2214yes—
90#2705C2214yes—
91#2703C2214yes—
92#2703C2214yes—
93#2703C2214yes—
94#2702C2214yes—
95#2696C2214yes—
96#2691C2214yes—
97#2691C2214yes—
98#2688C2214yes—
99#2673C2214yes—
100#2673C2214yes—
101#2673C2214yes—
102#2672C2214yes—
103#2671C2214yes—
104#2666C2214yes—
105#2665C2214yes—
106#2662C2214yes—
107#2662C2214yes—
108#2662C2214yes—
109#2650C2214yes—
110#2648C2214yes—
111#2635C2214yes—
112#2628C2214yes—
113#2628C2212yes—
114#2620C2212yes—
115#2619C2214yes—
116#2619C2214yes—
117#2619C2212yes—
118#2616C2212yes—
119#2616C2212yes—
120#2616C2212yes—
121#2615C2212yes—
122#2615C2212yes—
123#2615C2212yes—
124#2615C2212yes—
125#2615C2212yes—
126#2615C2212yes—
127#2602C2214yes—
128#2601C2214yes—
129#2563C2212yes—
130#2563C2212yes—
131#2562C2212yes—
132#2562C2212yes—
133#2562C2212yes—
134#2559C2214yes—
135#2559C2212yes—
136#2557C2214yes—
137#2557C2212yes—
138#2555C2212yes—
139#2555C2212yes—
140#2554C2214yes—
141#2554C2214yes—
142#2554C2214yes—
143#2553C2214yes—
144#2552C2211yescharacteristic
145#2551C2211yescharacteristic
146#2550C2211yescharacteristic
147#2547C2211yescharacteristic
148#2544C2212yes—
149#2544C2211yescharacteristic
150#2542C2211yescharacteristic
151#2541C2212yes—
152#2541C2212yes—
153#2541C2211yescharacteristic
154#2541C2211yescharacteristic
155#2540C2212yes—
156#2540C2212yes—
157#2540C2211yescharacteristic
158#2540C2212yes—
159#2540C2212yes—
160#2538C2211yescharacteristic
161#2538C2211yescharacteristic
162#2538C2212yes—
163#2538C2212yes—
164#2538C2212yes—
165#2537C2211yescharacteristic
166#2537C2211yescharacteristic
167#2537C2211yescharacteristic
168#2537C2211yescharacteristic
169#2537C2211yescharacteristic
170#2537C2212yes—
171#2537C2211yescharacteristic
172#2537C2212yes—
173#2535C2211yescharacteristic
174#2535C2212yes—
175#2521C2212yes—
176#2514C2212yes—
177#2512C2212yes—
178#2509C2212yes—
179#2497C2212yes—
180#2496C2212yes—
181#2496C2212yes—
182#2496C2212yes—
183#2496C2212yes—
184#2496C2212yes—
185#2495C2212yes—
186#2494C2212yes—
187#2494C2212yes—
188#2492C2212yes—
189#2492C2211yescharacteristic
190#2491C2212yes—
191#2491C2211yescharacteristic
192#2491C2211yescharacteristic
193#2490C2211yescharacteristic
194#2490C2212yes—
195#2489C2212yes—
196#2487C2212yes—
197#2486C2212yes—
198#2485C2212yes—
199#2485C2212yes—
200#2485C2212yes—
201#2485C2212yes—
202#2479C2214yes—
203#2479C2214yes—
204#2477C2214yes—
205#2470C2214yes—
206#2468C2214yes—
207#2467C2214yes—
208#2467C2214yes—
209#2466C2214yes—
210#2464C2212yes—
211#2464C2214yes—
212#2459C2214yes—
213#2456C2214yes—
214#2456C2214yes—
215#2451C2212yes—
216#2442C2212yes—
217#2441C2212yes—
218#2440C2212yes—
219#2431C2212yes—
220#2431C2212yes—
221#2428C2212yes—
222#2428C2211yescharacteristic
223#2428C2212yes—
224#2428C2212yes—
225#2428C2211yescharacteristic
226#2428C2211yescharacteristic
227#2427C2212yes—
228#2427C2212yes—
229#2427C2211yescharacteristic
230#2426C2212yes—
231#2426C2212yes—
232#2426C2212yes—
233#2423C2212yes—
234#2422C2212yes—
235#2422C2212yes—
236#2421C2212yes—
237#2421C2212yes—
238#2420C2212yes—
239#2420C2212yes—
240#2417C2212yes—
241#2417C2212yes—
242#2417C2212yes—
243#2416C2212yes—
244#2415C2212yes—
245#2414C2212yes—
246#2414C2214yes—
247#2414C2212yes—
248#2414C2212yes—
249#2414C2212yes—
250#2414C2214yes—
251#2414C2214yes—
252#2414C2212yes—
253#2407C2212yes—
254#2407C2212yes—
255#2395C2212yes—
256#2395C2214yes—
257#2388C2212yes—
258#2388C2212yes—
259#2388C2212yes—
260#2370C2212yes—
261#2370C2212yes—
262#2366C2214yes—
263#2362C2212yes—
264#2362C2212yes—
265#2361C2212yes—
266#2361C2212yes—
267#2354C2211yescharacteristic
268#2352C2212yes—
269#2352C2212yes—
270Q8×C4⋊C4C2211yescharacteristic
271D4×C4⋊C4C2211yescharacteristic
272D4×C4⋊C4C2211yescharacteristic
273#2347C2212yes—
274#2344C2212yes—
275#2341C2212yes—
276#2334C2214yes—
277#2323C2212yes—
278#2311C2212yes—
279#2311C2212yes—
280C4×C4⋊Q8C2211yescharacteristic
281C4×#127C2211yescharacteristic
282C4×#124C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2212yes—
285C4×#121C2212yes—
286C4×#121C2211yescharacteristic
287C4×#121C2212yes—
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic
290C4×#121C2212yes—
291C4×#121C2212yes—
292#2297C2212yes—
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic
295#2285C2212yes—
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303#556—44no—
304#553—48no—
305#553—48no—
306#547—44no—
307#537—48no—
308#532—44no—
309#532—48no—
310#532—44no—
311#532—44no—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2311yescharacteristic
317C2×#127C2311yescharacteristic
318C2×#127C2314yes—
319C2×#127C2312yes—
320C2×#127C2311yescharacteristic
321C2×#127C2311yescharacteristic
322C2×#127C2311yescharacteristic
323#529—44no—
324#529—48no—
325#529—48no—
326C2×#126C2314yes—
327C2×#126C2314yes—
328C2×#126C2312yes—
329C2×#126C2314yes—
330C2×#126C2314yes—
331C2×#126C2314yes—
332C2×#126C2314yes—
333C2×#125C2312yes—
334C2×#125C2312yes—
335C2×#125C2311yescharacteristic
336C2×#124C2311yescharacteristic
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2312yes—
343C2×#124C2311yescharacteristic
344C2×#124C2312yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2312yes—
350C2×#123C2314yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2311yescharacteristic
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2314yes—
362C2×#121C2311yescharacteristic
363C2×#121C2311yescharacteristic
364C2×#121C2312yes—
365C2×#121C2311yescharacteristic
366C2×#121C2312yes—
367C2×#121C2311yescharacteristic
368C2×#121C2311yescharacteristic
369C2×#121C2311yescharacteristic
370C2×#121C2311yescharacteristic
371C2×#121C2312yes—
372C2×#121C2311yescharacteristic
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2311yescharacteristic
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2311yescharacteristic
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×C4×Q8C2311yescharacteristic
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2312yes—
400C2×C4×Q8C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2314yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2314yes—
418C2×C4×D4C2314yes—
419C2×C4×D4C2314yes—
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2311yescharacteristic
426C2×C4×D4C2311yescharacteristic
427C2×C4×D4C2311yescharacteristic
428C2×#117C2312yes—
429C2×#117C2312yes—
430C2×#117C2312yes—
431C2×#117C2314yes—
432C2×#117C2312yes—
433C2×#117C2312yes—
434C2×#117C2314yes—
435C22×C4⋊C4C2312yes—
436C22×C4⋊C4C2312yes—
437C22×C4⋊C4C2312yes—
438C22×C42C2312yes—
439C22×C42C2311yescharacteristic
440C22×C42C2311yescharacteristic
441C22×C42C2312yes—
442#401C2314yes—
443#400C2314yes—
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#400C2314yes—
448#400C2314yes—
449#400C2314yes—
450#400C2314yes—
451#400C2314yes—
452#400C2312yes—
453#399C2314yes—
454#399C2314yes—
455#399C2312yes—
456#399C2314yes—
457#399C2314yes—
458#399C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2312yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2312yes—
468#397C2312yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2312yes—
479#397C2314yes—
480#397C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#395C2314yes—
493#395C2312yes—
494#395C2314yes—
495#395C2314yes—
496#395C2312yes—
497#395C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2312yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2312yes—
517#394C2314yes—
518#394C2314yes—
519#394C2312yes—
520#394C2314yes—
521#394C2312yes—
522#394C2312yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2312yes—
531#394C2314yes—
532#394C2312yes—
533#394C2312yes—
534#394C2312yes—
535#394C2312yes—
536#394C2312yes—
537#393C2314yes—
538#393C2314yes—
539#393C2314yes—
540#393C2314yes—
541#393C2312yes—
542#393C2314yes—
543#393C2314yes—
544#393C2312yes—
545#393C2312yes—
546#392C2312yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2312yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2312yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2312yes—
569#392C2314yes—
570#392C2312yes—
571#392C2312yes—
572#392C2312yes—
573#392C2312yes—
574#392C2312yes—
575#392C2314yes—
576#391C2312yes—
577#391C2314yes—
578#391C2314yes—
579#391C2312yes—
580#391C2312yes—
581#391C2311yescharacteristic
582#391C2312yes—
583#391C2312yes—
584#391C2312yes—
585#391C2311yescharacteristic
586#390C2311yescharacteristic
587#390C2312yes—
588#390C2311yescharacteristic
589#390C2312yes—
590#390C2314yes—
591#390C2314yes—
592#390C2314yes—
593#390C2314yes—
594#390C2314yes—
595#390C2314yes—
596#390C2312yes—
597#390C2314yes—
598#390C2314yes—
599#390C2312yes—
600#390C2314yes—
601#390C2311yescharacteristic
602#390C2312yes—
603#390C2314yes—
604#390C2311yescharacteristic
605#390C2314yes—
606#390C2314yes—
607#390C2314yes—
608#390C2312yes—
609#390C2312yes—
610#390C2312yes—
611#390C2314yes—
612#390C2311yescharacteristic
613#390C2311yescharacteristic
614#390C2312yes—
615#390C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2311yescharacteristic
619#389C2314yes—
620#389C2314yes—
621#389C2312yes—
622#389C2314yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2314yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2311yescharacteristic
638#389C2312yes—
639#389C2314yes—
640#389C2312yes—
641#389C2311yescharacteristic
642#389C2312yes—
643#389C2311yescharacteristic
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2312yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2312yes—
667#388C2314yes—
668#388C2312yes—
669#388C2312yes—
670#388C2312yes—
671#388C2312yes—
672#388C2312yes—
673#388C2312yes—
674#388C2312yes—
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#387C2312yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2312yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2312yes—
703#386C2314yes—
704#386C2312yes—
705#386C2314yes—
706#386C2314yes—
707#386C2312yes—
708#386C2312yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2312yes—
713#386C2312yes—
714#386C2312yes—
715#386C2312yes—
716#386C2312yes—
717#386C2312yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2312yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#384C2311yescharacteristic
728#384C2311yescharacteristic
729#384C2311yescharacteristic
730#384C2311yescharacteristic
731#384C2312yes—
732#384C2312yes—
733#384C2312yes—
734#383C2314yes—
735#382C2314yes—
736#382C2312yes—
737#382C2311yescharacteristic
738#382C2312yes—
739#382C2312yes—
740#382C2314yes—
741#381C2314yes—
742#381C2314yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2311yescharacteristic
762#380C2311yescharacteristic
763#380C2314yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2311yescharacteristic
770#380C2312yes—
771#380C2314yes—
772#380C2314yes—
773#380C2314yes—
774#380C2314yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2314yes—
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2311yescharacteristic
821C43C2311yescharacteristic
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×Q8C2412yes—
837C22×Q8C2412yes—
838C22×Q8C2412yes—
839C22×D4C2411yescharacteristic
840C22×D4C2411yescharacteristic
841C22×D4C2411yescharacteristic
842C22×D4C2411yescharacteristic
843C22×D4C2411yescharacteristic
844C22×D4C2411yescharacteristic
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2414yes—
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2414yes—
864C22×D4C2412yes—
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2412yes—
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2411yescharacteristic
873C23×C4C2412yes—
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2412yes—
877C23×C4C2411yescharacteristic
878C23×C4C2412yes—
879C23×C4C2411yescharacteristic
880C23×C4C2414yes—
881C23×C4C2412yes—
882C23×C4C2412yes—
883C23×C4C2411yescharacteristic
884C23×C4C2414yes—
885C23×C4C2414yes—
886C23×C4C2412yes—
887C4⋊Q8—24no—
888C4⋊Q8—42no—
889C4⋊Q8—44no—
890C4⋊Q8—42no—
891C4⋊Q8—42no—
892#127—48no—
893#127—42no—
894#127—42no—
895#127—44no—
896#127—42no—
897#127—42no—
898#126—48no—
899#126—44no—
900#126—48no—
901#126—48no—
902#126—48no—
903#126—48no—
904#126—48no—
905#125—28no—
906#125—28no—
907#125—42no—
908#124—24no—
909#124—44no—
910#124—44no—
911#124—44no—
912#124—44no—
913#124—44no—
914#124—42no—
915#124—44no—
916#124—44no—
917#123—48no—
918#123—48no—
919#123—48no—
920#123—44no—
921#123—48no—
922#123—48no—
923C22⋊Q8—28no—
924C22⋊Q8—48no—
925C22⋊Q8—42no—
926C22⋊Q8—44no—
927C22⋊Q8—44no—
928C22⋊Q8—44no—
929C22⋊Q8—44no—
930C22⋊Q8—42no—
931C22⋊Q8—44no—
932C22⋊Q8—44no—
933C22⋊Q8—44no—
934#121—24no—
935#121—24no—
936#121—44no—
937#121—44no—
938#121—44no—
939#121—44no—
940#121—44no—
941#121—48no—
942#121—44no—
943#121—44no—
944#121—48no—
945#121—48no—
946#121—42no—
947#121—44no—
948#121—44no—
949#121—44no—
950#121—44no—
951#121—42no—
952#121—44no—
953#121—44no—
954#121—42no—
955#121—42no—
956#121—42no—
957#121—42no—
958#121—44no—
959#121—42no—
960#121—42no—
961#121—44no—
962#121—44no—
963#121—48no—
964#121—44no—
965#121—48no—
966#121—44no—
967#121—44no—
968#121—44no—
969C4×Q8—24no—
970C4×Q8—44no—
971C4×Q8—44no—
972C4×Q8—44no—
973C4×D4—24no—
974C4×D4—24no—
975C4×D4—24no—
976C4×D4—24no—
977C4×D4—24no—
978C4×D4—24no—
979C4×D4—28no—
980C4×D4—24no—
981C4×D4—24no—
982C4×D4—42no—
983C4×D4—42no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—42no—
988C4×D4—44no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—44no—
995C4×D4—42no—
996C4×D4—48no—
997C4×D4—48no—
998C4×D4—48no—
999C4×D4—48no—
1000#117—44no—
1001#117—44no—
1002#117—48no—
1003#117—48no—
1004#117—44no—
1005#117—44no—
1006#117—44no—
1007C2×C4⋊C4—28no—
1008C2×C4⋊C4—44no—
1009C2×C4⋊C4—44no—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2411yescharacteristic
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2411yescharacteristic
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2411yescharacteristic
1115C2×C22⋊C4C2411yescharacteristic
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C42—28no—
1143C2×C42—24no—
1144C2×C42—24no—
1145C2×C42—44no—
1146C2×C42C2411yescharacteristic
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2414yes—
1150C2×C42C2412yes—
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2412yes—
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159C2×C42C2412yes—
1160C2×C42C2411yescharacteristic
1161C2×C42C2412yes—
1162C2×C42C2414yes—
1163C2×C42C2414yes—
1164C2×C42C2414yes—
1165C2×C42C2414yes—
1166C2×C42C2414yes—
1167C2×C42C2411yescharacteristic
1168C2×C42C2412yes—
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172#95C2412yes—
1173#95C2411yescharacteristic
1174#95C2412yes—
1175#95C2411yescharacteristic
1176#95C2412yes—
1177#95C2411yescharacteristic
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2411yescharacteristic
1182#95C2412yes—
1183#95C2411yescharacteristic
1184#95C2411yescharacteristic
1185#95C2412yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2412yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224C24C2512yes—
1225C24C2512yes—
1226C24C2512yes—
1227C24C2512yes—
1228C24C2512yes—
1229C24C2511yescharacteristic
1230C24C2511yescharacteristic
1231#41—816no—
1232#41—816no—
1233#41—816no—
1234#41—816no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—24no—
1238C2×Q8—24no—
1239C2×Q8—22no—
1240C2×Q8—24no—
1241C2×Q8—42no—
1242C2×Q8—42no—
1243C2×Q8—42no—
1244C2×Q8—42no—
1245C2×Q8—42no—
1246C2×Q8—42no—
1247C2×Q8—42no—
1248C2×Q8—42no—
1249C2×Q8—42no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4—42no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—42no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—44no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—44no—
1300C2×D4—42no—
1301C2×D4—42no—
1302C2×D4—42no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—42no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—42no—
1313C2×D4—42no—
1314C2×D4—42no—
1315C2×D4—42no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—42no—
1326C2×D4—42no—
1327C2×D4—42no—
1328C2×D4—42no—
1329C2×D4—44no—
1330C2×D4—42no—
1331C2×D4—42no—
1332C2×D4—42no—
1333C2×D4—42no—
1334C2×D4—42no—
1335C2×D4—42no—
1336C2×D4—42no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C22×C4—24no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—24no—
1350C22×C4—24no—
1351C22×C4—24no—
1352C22×C4—22no—
1353C22×C4—24no—
1354C22×C4—24no—
1355C22×C4—24no—
1356C22×C4—24no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—24no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—24no—
1363C22×C4—22no—
1364C22×C4—24no—
1365C22×C4—22no—
1366C22×C4—24no—
1367C22×C4—24no—
1368C22×C4—22no—
1369C22×C4—24no—
1370C22×C4—22no—
1371C22×C4—24no—
1372C22×C4—22no—
1373C22×C4—28no—
1374C22×C4—24no—
1375C22×C4—41no—
1376C22×C4—42no—
1377C22×C4—42no—
1378C22×C4—42no—
1379C22×C4—44no—
1380C22×C4—44no—
1381C22×C4—42no—
1382C22×C4—41no—
1383C22×C4—42no—
1384C22×C4—44no—
1385C22×C4—42no—
1386C22×C4—42no—
1387C22×C4—41no—
1388C22×C4—42no—
1389C22×C4—44no—
1390C22×C4—44no—
1391C22×C4—44no—
1392C22×C4—44no—
1393C22×C4—44no—
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C22×C4C2511yescharacteristic
1397C22×C4C2511yescharacteristic
1398C22×C4C2512yes—
1399C22×C4C2511yescharacteristic
1400C22×C4C2512yes—
1401C22×C4C2511yescharacteristic
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2514yes—
1405C22×C4C2514yes—
1406C22×C4C2512yes—
1407C22×C4C2514yes—
1408C22×C4C2512yes—
1409C22×C4C2512yes—
1410C22×C4C2512yes—
1411C22×C4C2512yes—
1412C22×C4C2514yes—
1413C22×C4C2511yescharacteristic
1414C22×C4C2512yes—
1415C22×C4C2511yescharacteristic
1416C22×C4C2512yes—
1417C22×C4C2511yescharacteristic
1418C22×C4C2511yescharacteristic
1419C22×C4C2511yescharacteristic
1420C22×C4C2511yescharacteristic
1421C22×C4C2511yescharacteristic
1422C4⋊C4—24no—
1423C4⋊C4—28no—
1424C4⋊C4—22no—
1425C4⋊C4—22no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—22no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—28no—
1432C4⋊C4—28no—
1433C4⋊C4—28no—
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—24no—
1440C4⋊C4—28no—
1441C4⋊C4—28no—
1442C4⋊C4—24no—
1443C4⋊C4—24no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—24no—
1448C4⋊C4—24no—
1449C4⋊C4—24no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—44no—
1457C4⋊C4—42no—
1458C4⋊C4—41no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—42no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—42no—
1466C4⋊C4—42no—
1467C4⋊C4—44no—
1468C4⋊C4—44no—
1469C4⋊C4—44no—
1470C4⋊C4—44no—
1471C4⋊C4—44no—
1472C4⋊C4—42no—
1473C4⋊C4—44no—
1474C4⋊C4—44no—
1475C4⋊C4—44no—
1476C4⋊C4—44no—
1477C4⋊C4H(5,𝔽2)14yes—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—24no—
1484C22⋊C4—24no—
1485C22⋊C4—24no—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—24no—
1490C22⋊C4—24no—
1491C22⋊C4—24no—
1492C22⋊C4—28no—
1493C22⋊C4—24no—
1494C22⋊C4—22no—
1495C22⋊C4—24no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—44no—
1499C22⋊C4—42no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—42no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—42no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—41no—
1513C22⋊C4—41no—
1514C22⋊C4—42no—
1515C22⋊C4—41no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4—42no—
1521C22⋊C4—42no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—42no—
1526C22⋊C4—42no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—42no—
1530C22⋊C4—44no—
1531C22⋊C4—42no—
1532C22⋊C4—44no—
1533C22⋊C4—42no—
1534C22⋊C4—44no—
1535C22⋊C4—42no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—42no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C42—24no—
1555C42—22no—
1556C42—24no—
1557C42—22no—
1558C42—22no—
1559C42—22no—
1560C42—22no—
1561C42—22no—
1562C42—24no—
1563C42—22no—
1564C42—24no—
1565C42—24no—
1566C42—28no—
1567C42—22no—
1568C42—22no—
1569C42—42no—
1570C42—42no—
1571C42—41no—
1572C42—44no—
1573C42—44no—
1574C42—44no—
1575C42—44no—
1576C42—44no—
1577C42—41no—
1578C42H(5,𝔽2)14yes—
1579C42H(5,𝔽2)14yes—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—22no—
1587C23—22no—
1588C23—22no—
1589C23—22no—
1590C23—21no—
1591C23—21no—
1592C23—22no—
1593C23—22no—
1594C23—22no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—22no—
1599C23—22no—
1600C23—21no—
1601C23—22no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—22no—
1606C23—22no—
1607C23—22no—
1608C23—22no—
1609C23—21no—
1610C23—22no—
1611C23—22no—
1612C23—21no—
1613C23—22no—
1614C23—22no—
1615C23—22no—
1616C23—22no—
1617C23—22no—
1618C23—21no—
1619C23—22no—
1620C23—22no—
1621C23—22no—
1622C23—22no—
1623C23—22no—
1624C23—21no—
1625C23—22no—
1626C23—22no—
1627C23—21no—
1628C23—22no—
1629C23C2611yescharacteristic
1630Q8—44no—
1631Q8—48no—
1632Q8—84no—
1633Q8—84no—
1634Q8—84no—
1635D4—44no—
1636D4—44no—
1637D4—44no—
1638D4—44no—
1639D4—44no—
1640D4—44no—
1641D4—84no—
1642D4—84no—
1643D4—84no—
1644D4—84no—
1645D4—84no—
1646D4—88no—
1647D4—88no—
1648D4—84no—
1649D4—88no—
1650D4—88no—
1651D4—84no—
1652D4—84no—
1653D4—84no—
1654D4—84no—
1655D4—84no—
1656D4—84no—
1657D4—84no—
1658D4—84no—
1659D4—84no—
1660D4—84no—
1661D4—84no—
1662D4—84no—
1663D4—88no—
1664D4—164no—
1665C2×C4—22no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—24no—
1694C2×C4—24no—
1695C2×C4—24no—
1696C2×C4—24no—
1697C2×C4—24no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—24no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—24no—
1711C2×C4—24no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—24no—
1719C2×C4—24no—
1720C2×C4—21no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—24no—
1726C2×C4—22no—
1727C2×C4—21no—
1728C2×C4—22no—
1729C2×C4—21no—
1730C2×C4—22no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—21no—
1737C2×C4—24no—
1738C2×C4—48no—
1739C2×C4—44no—
1740C2×C4—44no—
1741C2×C4—48no—
1742C2×C4—48no—
1743C2×C4—48no—
1744C2×C4—48no—
1745C2×C4—44no—
1746C2×C4—44no—
1747C2×C4—48no—
1748C2×C4—44no—
1749C2×C4—84no—
1750C2×C4—84no—
1751C2×C4—88no—
1752C2×C4—82no—
1753C2×C4—84no—
1754C2×C4—88no—
1755C2×C4—164no—
1756C2×C4C2×H(5,𝔽2)12yes—
1757C2×C4C2×H(5,𝔽2)12yes—
1758C2×C4C2×H(5,𝔽2)12yes—
1759C2×C4C2×H(5,𝔽2)14yes—
1760C2×C4C2×H(5,𝔽2)12yes—
1761C2×C4C2×H(5,𝔽2)12yes—
1762C2×C4C2×H(5,𝔽2)12yes—
1763C2×C4C2×H(5,𝔽2)12yes—
1764C2×C4#58512yes—
1765C2×C4#58512yes—
1766C2×C4#58512yes—
1767C22—42no—
1768C22—41no—
1769C22—42no—
1770C22—41no—
1771C22—41no—
1772C22—42no—
1773C22—42no—
1774C22—42no—
1775C22—41no—
1776C22—42no—
1777C22—42no—
1778C22—42no—
1779C22—42no—
1780C22—42no—
1781C22—42no—
1782C22—41no—
1783C22—41no—
1784C22—42no—
1785C22—42no—
1786C22—42no—
1787C22—42no—
1788C22—42no—
1789C22—42no—
1790C22—42no—
1791C22—42no—
1792C22—41no—
1793C22—42no—
1794C22—41no—
1795C22—42no—
1796C22—42no—
1797C22—42no—
1798C22—42no—
1799C22—41no—
1800C22—41no—
1801C22—42no—
1802C22—41no—
1803C22—41no—
1804C22—42no—
1805C22—42no—
1806C22—42no—
1807C22—42no—
1808C22—42no—
1809C22—42no—
1810C22—42no—
1811C22—41no—
1812C22—42no—
1813C22—42no—
1814C22—42no—
1815C22—41no—
1816C22C22×H(5,𝔽2)11yescharacteristic
1817C22C22×H(5,𝔽2)11yescharacteristic
1818C22C22×H(5,𝔽2)11yescharacteristic
1819C22C2×#58511yescharacteristic
1820C22C2×#58511yescharacteristic
1821C22C2×#58511yescharacteristic
1822C222−1+611yescharacteristic
1823C4—22no—
1824C4—22no—
1825C4—24no—
1826C4—22no—
1827C4—22no—
1828C4—41no—
1829C4—42no—
1830C4—41no—
1831C4—41no—
1832C4—41no—
1833C4—42no—
1834C4—42no—
1835C4—42no—
1836C4—42no—
1837C4—44no—
1838C4—42no—
1839C4—42no—
1840C4—44no—
1841C4—41no—
1842C4—42no—
1843C4—44no—
1844C4—42no—
1845C4—44no—
1846C4—41no—
1847C4—42no—
1848C4—41no—
1849C4#354614yes—
1850C4#354614yes—
1851C2—81no—
1852C2—81no—
1853C2—82no—
1854C2—82no—
1855C2—82no—
1856C2—82no—
1857C2—82no—
1858C2C2×#354611yescharacteristic
1859C2C2×#354611yescharacteristic
1860C2#6275911yescharacteristic
1861C2#6291411yescharacteristic
1862C2#6292711yescharacteristic
1863C2#6293911yescharacteristic
1864C2#6302211yescharacteristic
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. #59218C2semidirect
3. #59213C2semidirect
4. #59053C2semidirect
5. #59053C2semidirect
6. #55589C2semidirect
7. #55585C2semidirect
8. #53059C2semidirect
9. #53055C2semidirect
10. #53044C2semidirect
11. #52956C2semidirect
12. #52592C2semidirect
13. #42991C2semidirect
14. #42640C2semidirect
15. #42462C2semidirect
16. #42433C2semidirect
17. #41126C2semidirect
18. #40118C2semidirect
19. #39902C2semidirect
20. #39471C2semidirect
21. #39468C2semidirect
22. #39462C2semidirect
23. #39340C2semidirect
24. #39136C2semidirect
25. #37785C2semidirect
26. #37639C2semidirect
27. #37621C2semidirect
28. #37621C2semidirect
29. #37516C2semidirect
30. #36468C2semidirect
31. #36210C2semidirect
32. #36114C2semidirect
33. #34932C2semidirect
34. #34925C2semidirect
35. #34889C2semidirect

Maximal subgroups

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

subgroupindex
#594102
#592182
#592132
#590532
#555892
#555852
#530592
#530552
#530442
#529562
#525922
#429912
#426402
#424622
#424332
#411262
#401182
#399022
#394712
#394682
#394622
#393402
#391362
#377852
#376392
#376212
#375162
#364682
#362102
#361142
#349322
#349252
#348892