Finite Group Databasebeta

← #8458935

Subgroups — #8458935

Order 512.

5227 conjugacy classes of subgroups.

The subgroup lattice has 1827 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59418C211yesmaximal, characteristic, complemented
2#59312C211yesmaximal, characteristic, complemented
3#59305C211yesmaximal, characteristic, complemented
4#58927C214yesmaximal, complemented
5#58250C214yesmaximal, complemented
6#58017C214yesmaximal, complemented
7#53095C212yesmaximal, complemented
8#52972C212yesmaximal, complemented
9#50135C214yesmaximal, complemented
10#45649C212yesmaximal, complemented
11#45501C212yesmaximal, complemented
12#44915C212yesmaximal, complemented
13#44913C212yesmaximal, complemented
14#42798C212yesmaximal, complemented
15#42460C212yesmaximal, complemented
16#42448C212yesmaximal, complemented
17#42434C212yesmaximal, complemented
18#40125C212yesmaximal, complemented
19#39658C212yesmaximal, complemented
20#39563C212yesmaximal, complemented
21#39505C211yesmaximal, characteristic, complemented
22#39471C211yesmaximal, characteristic, complemented
23#39433C212yesmaximal, complemented
24#39377C211yesmaximal, characteristic, complemented
25#39340C211yesmaximal, characteristic, complemented
26#37627C211yesmaximal, characteristic, complemented
27#37310C212yesmaximal, complemented
28#37296C212yesmaximal, complemented
29#36505C211yesmaximal, characteristic, complemented
30#36445C211yesmaximal, characteristic, complemented
31#36180C211yesmaximal, characteristic, complemented
32#35273C211yesmaximal, characteristic, complemented
33#35273C211yesmaximal, characteristic, complemented
34#34715C211yesmaximal, characteristic, complemented
35#34715C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#554C2212yes—
38C2×#552C2212yes—
39C2×#547C2211yescharacteristic
40C2×#542C2212yes—
41C2×#537C2212yes—
42C2×#537C2212yes—
43C2×#537C2212yes—
44C2×#532C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic
47C2×C4×#41C2211yescharacteristic
48#2868C2211yescharacteristic
49#2857C2211yescharacteristic
50#2857C2211yescharacteristic
51#2857C2212yes—
52#2857C2212yes—
53#2857C2212yes—
54#2856C2212yes—
55#2856C2212yes—
56#2851C2212yes—
57#2841C2214yes—
58#2837C2214yes—
59#2837C2214yes—
60#2829C2214yes—
61#2827C2214yes—
62#2826C2214yes—
63#2823C2214yes—
64#2816C2214yes—
65#2806C2214yes—
66#2803C2214yes—
67#2802C2214yes—
68#2799C2214yes—
69#2795C2214yes—
70#2790C2214yes—
71#2790C2214yes—
72#2788C2214yes—
73#2786C2214yes—
74#2784C2214yes—
75#2780C2214yes—
76#2780C2214yes—
77#2751C2214yes—
78#2750C2214yes—
79#2732C2214yes—
80#2732C2214yes—
81#2731C2214yes—
82#2721C2214yes—
83#2720C2214yes—
84#2718C2214yes—
85#2714C2214yes—
86#2711C2214yes—
87#2711C2214yes—
88#2711C2214yes—
89#2710C2214yes—
90#2707C2214yes—
91#2707C2214yes—
92#2704C2214yes—
93#2704C2214yes—
94#2703C2214yes—
95#2701C2214yes—
96#2692C2214yes—
97#2692C2214yes—
98#2692C2214yes—
99#2691C2214yes—
100#2686C2214yes—
101#2682C2214yes—
102#2682C2214yes—
103#2682C2214yes—
104#2681C2214yes—
105#2676C2214yes—
106#2674C2214yes—
107#2672C2214yes—
108#2672C2214yes—
109#2671C2214yes—
110#2671C2214yes—
111#2671C2214yes—
112#2671C2214yes—
113#2671C2214yes—
114#2667C2214yes—
115#2662C2214yes—
116#2651C2214yes—
117#2635C2214yes—
118#2630C2214yes—
119#2629C2212yes—
120#2628C2212yes—
121#2625C2212yes—
122#2624C2212yes—
123#2620C2214yes—
124#2620C2214yes—
125#2620C2214yes—
126#2620C2212yes—
127#2620C2212yes—
128#2616C2212yes—
129#2615C2212yes—
130#2601C2214yes—
131#2588C2214yes—
132#2579C2214yes—
133#2567C2212yes—
134#2566C2212yes—
135#2562C2212yes—
136#2560C2214yes—
137#2559C2214yes—
138#2558C2214yes—
139#2556C2214yes—
140#2555C2214yes—
141#2552C2212yes—
142#2552C2212yes—
143#2552C2211yescharacteristic
144#2552C2212yes—
145#2547C2211yescharacteristic
146#2542C2212yes—
147#2542C2211yescharacteristic
148#2540C2214yes—
149#2540C2212yes—
150#2538C2211yescharacteristic
151#2538C2211yescharacteristic
152#2538C2212yes—
153#2538C2211yescharacteristic
154#2538C2212yes—
155#2538C2212yes—
156#2538C2211yescharacteristic
157#2537C2212yes—
158#2537C2211yescharacteristic
159#2537C2211yescharacteristic
160#2537C2212yes—
161#2537C2212yes—
162#2537C2211yescharacteristic
163#2536C2212yes—
164#2512C2212yes—
165#2507C2212yes—
166#2502C2212yes—
167#2502C2212yes—
168#2502C2212yes—
169#2501C2212yes—
170#2501C2212yes—
171#2500C2212yes—
172#2497C2212yes—
173#2497C2212yes—
174#2497C2212yes—
175#2496C2212yes—
176#2492C2212yes—
177#2492C2212yes—
178#2491C2212yes—
179#2491C2212yes—
180#2491C2212yes—
181#2490C2212yes—
182#2490C2212yes—
183#2487C2212yes—
184#2486C2212yes—
185#2477C2214yes—
186#2476C2212yes—
187#2476C2212yes—
188#2475C2214yes—
189#2474C2212yes—
190#2474C2212yes—
191#2464C2214yes—
192#2464C2214yes—
193#2460C2214yes—
194#2459C2212yes—
195#2459C2212yes—
196#2456C2214yes—
197#2456C2212yes—
198#2456C2212yes—
199#2454C2212yes—
200#2454C2214yes—
201#2451C2211yescharacteristic
202#2451C2211yescharacteristic
203#2446C2212yes—
204#2445C2211yescharacteristic
205#2445C2211yescharacteristic
206#2442C2212yes—
207#2442C2212yes—
208#2441C2214yes—
209#2441C2212yes—
210#2441C2212yes—
211#2440C2212yes—
212#2440C2212yes—
213#2440C2212yes—
214#2440C2212yes—
215#2440C2212yes—
216#2440C2212yes—
217#2439C2212yes—
218#2439C2211yescharacteristic
219#2439C2211yescharacteristic
220#2432C2212yes—
221#2432C2212yes—
222#2431C2211yescharacteristic
223#2431C2212yes—
224#2431C2211yescharacteristic
225#2429C2212yes—
226#2428C2212yes—
227#2426C2212yes—
228#2426C2211yescharacteristic
229#2426C2211yescharacteristic
230#2426C2212yes—
231#2423C2212yes—
232#2423C2212yes—
233#2423C2212yes—
234#2422C2212yes—
235#2421C2212yes—
236#2420C2211yescharacteristic
237#2420C2211yescharacteristic
238#2417C2212yes—
239#2417C2212yes—
240#2416C2212yes—
241#2416C2212yes—
242#2416C2212yes—
243#2416C2212yes—
244#2416C2214yes—
245#2416C2214yes—
246#2416C2212yes—
247#2414C2212yes—
248#2414C2214yes—
249#2414C2211yescharacteristic
250#2414C2211yescharacteristic
251#2413C2214yes—
252#2407C2212yes—
253#2407C2212yes—
254#2407C2211yescharacteristic
255#2407C2211yescharacteristic
256#2392C2212yes—
257#2392C2212yes—
258#2388C2212yes—
259#2388C2212yes—
260#2376C2214yes—
261#2367C2212yes—
262#2362C2212yes—
263#2361C2212yes—
264#2360C2212yes—
265#2355C2211yescharacteristic
266#2354C2211yescharacteristic
267Q8×C4⋊C4C2212yes—
268Q8×C4⋊C4C2211yescharacteristic
269D4×C4⋊C4C2212yes—
270D4×C4⋊C4C2212yes—
271D4×C4⋊C4C2212yes—
272D4×C4⋊C4C2211yescharacteristic
273#2344C2212yes—
274#2341C2212yes—
275#2341C2212yes—
276#2335C2214yes—
277#2314C2212yes—
278#2311C2212yes—
279#2311C2212yes—
280#2311C2212yes—
281C4×C4⋊Q8C2211yescharacteristic
282C4×#124C2211yescharacteristic
283C4×#124C2211yescharacteristic
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2212yes—
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×#123C2212yes—
289C4×#123C2212yes—
290C4×#121C2211yescharacteristic
291C4×#121C2211yescharacteristic
292#2297C2212yes—
293#2297C2212yes—
294#2293C2211yescharacteristic
295#2293C2211yescharacteristic
296C2×#384C2211yescharacteristic
297C2×#384C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304#557—44no—
305#554—48no—
306#552—48no—
307#547—44no—
308#542—48no—
309#537—48no—
310#537—48no—
311#537—48no—
312#532—44no—
313#532—44no—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2312yes—
321C2×#127C2311yescharacteristic
322C2×#127C2311yescharacteristic
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2314yes—
328C2×#125C2314yes—
329C2×#125C2314yes—
330C2×#124C2311yescharacteristic
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2311yescharacteristic
334C2×#124C2312yes—
335C2×#124C2314yes—
336C2×#124C2314yes—
337C2×#123C2312yes—
338C2×#123C2312yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2311yescharacteristic
357C2×C22⋊Q8C2314yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2314yes—
360C2×C22⋊Q8C2314yes—
361C2×#121C2311yescharacteristic
362C2×#121C2311yescharacteristic
363C2×#121C2314yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2314yes—
372C2×#121C2311yescharacteristic
373C2×#121C2311yescharacteristic
374C2×#121C2311yescharacteristic
375C2×#121C2311yescharacteristic
376C2×#121C2314yes—
377C2×#121C2314yes—
378C2×#121C2312yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2312yes—
382C2×#121C2314yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C4×#41—44no—
388C4×#41—44no—
389C2×C4×Q8C2312yes—
390C2×C4×Q8C2311yescharacteristic
391C2×C4×Q8C2311yescharacteristic
392C2×C4×Q8C2312yes—
393C2×C4×Q8C2312yes—
394C2×C4×Q8C2312yes—
395C2×C4×Q8C2311yescharacteristic
396C2×C4×Q8C2311yescharacteristic
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2314yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2314yes—
417C2×#117C2311yescharacteristic
418C2×#117C2311yescharacteristic
419C2×#117C2312yes—
420C2×#117C2312yes—
421C2×#117C2314yes—
422C2×#117C2312yes—
423C2×#117C2312yes—
424C2×#117C2312yes—
425C22×C4⋊C4C2312yes—
426C22×C4⋊C4C2312yes—
427C22×C4⋊C4C2312yes—
428C22×C4⋊C4C2312yes—
429C22×C4⋊C4C2312yes—
430C22×C4⋊C4C2312yes—
431C22×C4⋊C4C2312yes—
432C22×C4⋊C4C2312yes—
433C22×C42C2311yescharacteristic
434C22×C42C2311yescharacteristic
435C22×C42C2312yes—
436C22×C42C2312yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#399C2314yes—
445#399C2314yes—
446#399C2314yes—
447#399C2314yes—
448#399C2314yes—
449#399C2314yes—
450#399C2314yes—
451#399C2314yes—
452#399C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2312yes—
465#398C2314yes—
466#398C2312yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2312yes—
475#397C2314yes—
476#397C2312yes—
477#397C2314yes—
478#397C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2312yes—
482#396C2312yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2312yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2312yes—
503#395C2314yes—
504#395C2314yes—
505#395C2314yes—
506#395C2314yes—
507#395C2312yes—
508#395C2312yes—
509#394C2314yes—
510#394C2312yes—
511#394C2312yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2312yes—
520#394C2312yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2312yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2312yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2312yes—
537#394C2314yes—
538#394C2312yes—
539#394C2312yes—
540#394C2312yes—
541#394C2312yes—
542#394C2312yes—
543#394C2314yes—
544#393C2314yes—
545#393C2314yes—
546#393C2314yes—
547#393C2312yes—
548#393C2312yes—
549#393C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2312yes—
555#392C2312yes—
556#392C2312yes—
557#392C2312yes—
558#392C2312yes—
559#392C2312yes—
560#392C2312yes—
561#392C2312yes—
562#392C2314yes—
563#391C2312yes—
564#391C2312yes—
565#391C2314yes—
566#391C2314yes—
567#391C2314yes—
568#391C2312yes—
569#391C2312yes—
570#391C2312yes—
571#391C2311yescharacteristic
572#391C2312yes—
573#391C2311yescharacteristic
574#391C2312yes—
575#391C2314yes—
576#391C2311yescharacteristic
577#391C2311yescharacteristic
578#391C2312yes—
579#391C2312yes—
580#390C2314yes—
581#390C2311yescharacteristic
582#390C2312yes—
583#390C2314yes—
584#390C2314yes—
585#390C2314yes—
586#390C2314yes—
587#390C2311yescharacteristic
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2314yes—
592#390C2314yes—
593#390C2314yes—
594#390C2314yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2311yescharacteristic
599#390C2314yes—
600#390C2311yescharacteristic
601#390C2314yes—
602#390C2311yescharacteristic
603#390C2311yescharacteristic
604#390C2311yescharacteristic
605#390C2311yescharacteristic
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2314yes—
612#389C2314yes—
613#389C2314yes—
614#389C2314yes—
615#389C2311yescharacteristic
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2314yes—
622#389C2312yes—
623#389C2312yes—
624#389C2314yes—
625#389C2312yes—
626#389C2314yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2314yes—
631#389C2314yes—
632#389C2314yes—
633#389C2312yes—
634#389C2311yescharacteristic
635#389C2311yescharacteristic
636#389C2314yes—
637#389C2311yescharacteristic
638#389C2311yescharacteristic
639#389C2311yescharacteristic
640#389C2311yescharacteristic
641#389C2311yescharacteristic
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2312yes—
663#388C2312yes—
664#388C2312yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#388C2312yes—
669#388C2312yes—
670#388C2312yes—
671#388C2312yes—
672#388C2312yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2312yes—
680#387C2314yes—
681#387C2314yes—
682#387C2312yes—
683#387C2314yes—
684#387C2314yes—
685#387C2312yes—
686#387C2314yes—
687#387C2314yes—
688#387C2312yes—
689#387C2312yes—
690#387C2314yes—
691#387C2312yes—
692#386C2312yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2312yes—
702#386C2314yes—
703#386C2314yes—
704#386C2312yes—
705#386C2312yes—
706#386C2312yes—
707#386C2312yes—
708#386C2312yes—
709#386C2312yes—
710#386C2312yes—
711#386C2312yes—
712#386C2312yes—
713#386C2312yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2312yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2312yes—
732#385C2312yes—
733#385C2312yes—
734#385C2314yes—
735#385C2314yes—
736#384C2311yescharacteristic
737#384C2312yes—
738#384C2312yes—
739#384C2312yes—
740#384C2314yes—
741#384C2312yes—
742#384C2312yes—
743#384C2311yescharacteristic
744#384C2311yescharacteristic
745#384C2312yes—
746#384C2312yes—
747#384C2312yes—
748#384C2312yes—
749#384C2312yes—
750#384C2312yes—
751#384C2312yes—
752#382C2312yes—
753#382C2311yescharacteristic
754#382C2311yescharacteristic
755#381C2314yes—
756#381C2312yes—
757#381C2312yes—
758#380C2311yescharacteristic
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2311yescharacteristic
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2314yes—
775#380C2314yes—
776#380C2314yes—
777#380C2314yes—
778#380C2314yes—
779#380C2314yes—
780#380C2311yescharacteristic
781#380C2312yes—
782#380C2312yes—
783#380C2311yescharacteristic
784#380C2312yes—
785#380C2312yes—
786#380C2314yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2314yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2311yescharacteristic
821C43C2311yescharacteristic
822C2×#41—24no—
823C2×#41—24no—
824C2×#41—28no—
825C2×#41—24no—
826C2×#41—28no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—42no—
832C2×#41—42no—
833C2×#41—42no—
834C2×#41—44no—
835C2×#41—44no—
836C2×#41—44no—
837C22×Q8C2411yescharacteristic
838C22×Q8C2412yes—
839C22×Q8C2411yescharacteristic
840C22×Q8C2412yes—
841C22×Q8C2412yes—
842C22×Q8C2414yes—
843C22×D4C2411yescharacteristic
844C22×D4C2411yescharacteristic
845C22×D4C2411yescharacteristic
846C22×D4C2411yescharacteristic
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2412yes—
870C23×C4C2411yescharacteristic
871C23×C4C2411yescharacteristic
872C23×C4C2412yes—
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2414yes—
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2414yes—
880C23×C4C2414yes—
881C23×C4C2414yes—
882C4⋊Q8—24no—
883C4⋊Q8—42no—
884C4⋊Q8—42no—
885C4⋊Q8—44no—
886C4⋊Q8—44no—
887C4⋊Q8—44no—
888C4⋊Q8—82no—
889#127—42no—
890#127—42no—
891#126—48no—
892#126—48no—
893#125—44no—
894#125—44no—
895#125—48no—
896#125—48no—
897#125—48no—
898#124—24no—
899#124—44no—
900#124—44no—
901#124—48no—
902#124—42no—
903#124—44no—
904#124—84no—
905#123—28no—
906#123—28no—
907#123—48no—
908#123—48no—
909#123—48no—
910#123—84no—
911#123—84no—
912C22⋊Q8—28no—
913C22⋊Q8—28no—
914C22⋊Q8—24no—
915C22⋊Q8—28no—
916C22⋊Q8—48no—
917C22⋊Q8—48no—
918C22⋊Q8—48no—
919C22⋊Q8—48no—
920C22⋊Q8—48no—
921C22⋊Q8—44no—
922C22⋊Q8—42no—
923C22⋊Q8—44no—
924C22⋊Q8—48no—
925C22⋊Q8—44no—
926C22⋊Q8—44no—
927C22⋊Q8—44no—
928C22⋊Q8—44no—
929#121—24no—
930#121—24no—
931#121—44no—
932#121—44no—
933#121—48no—
934#121—48no—
935#121—48no—
936#121—48no—
937#121—48no—
938#121—48no—
939#121—42no—
940#121—42no—
941#121—42no—
942#121—42no—
943#121—44no—
944#121—48no—
945#121—44no—
946#121—44no—
947#121—44no—
948#121—44no—
949#121—44no—
950#121—44no—
951#121—48no—
952#121—48no—
953#121—84no—
954#121—84no—
955C4×Q8—28no—
956C4×Q8—24no—
957C4×Q8—24no—
958C4×Q8—42no—
959C4×Q8—42no—
960C4×Q8—44no—
961C4×Q8—44no—
962C4×Q8—44no—
963C4×D4—24no—
964C4×D4—24no—
965C4×D4—24no—
966C4×D4—24no—
967C4×D4—24no—
968C4×D4—24no—
969C4×D4—24no—
970C4×D4—42no—
971C4×D4—42no—
972C4×D4—44no—
973C4×D4—44no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—48no—
982C4×D4—84no—
983#117—44no—
984#117—44no—
985#117—44no—
986#117—44no—
987#117—48no—
988#117—42no—
989#117—42no—
990#117—44no—
991C2×C4⋊C4—28no—
992C2×C4⋊C4—44no—
993C2×C4⋊C4—44no—
994C2×C4⋊C4—44no—
995C2×C4⋊C4—44no—
996C2×C4⋊C4—44no—
997C2×C4⋊C4—82no—
998C2×C4⋊C4—82no—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2411yescharacteristic
1074C2×C22⋊C4C2411yescharacteristic
1075C2×C22⋊C4C2411yescharacteristic
1076C2×C22⋊C4C2411yescharacteristic
1077C2×C22⋊C4C2411yescharacteristic
1078C2×C22⋊C4C2411yescharacteristic
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2414yes—
1137C2×C42—24no—
1138C2×C42—24no—
1139C2×C42—44no—
1140C2×C42—44no—
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2414yes—
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2412yes—
1151C2×C42C2411yescharacteristic
1152C2×C42C2412yes—
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157C2×C42C2414yes—
1158C2×C42C2412yes—
1159C2×C42C2412yes—
1160C2×C42C2414yes—
1161C2×C42C2412yes—
1162C2×C42C2412yes—
1163C2×C42C2414yes—
1164C2×C42C2414yes—
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167#95C2412yes—
1168#95C2412yes—
1169#95C2411yescharacteristic
1170#95C2411yescharacteristic
1171#95C2412yes—
1172#95C2411yescharacteristic
1173#95C2411yescharacteristic
1174#95C2411yescharacteristic
1175#95C2411yescharacteristic
1176#95C2412yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2412yes—
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—
1221C24C2512yes—
1222C24C2512yes—
1223C24C2512yes—
1224C24C2512yes—
1225C24C2511yescharacteristic
1226C24C2511yescharacteristic
1227#41—416no—
1228#41—416no—
1229#41—816no—
1230#41—816no—
1231#41—816no—
1232C2×Q8—22no—
1233C2×Q8—22no—
1234C2×Q8—24no—
1235C2×Q8—24no—
1236C2×Q8—22no—
1237C2×Q8—24no—
1238C2×Q8—22no—
1239C2×Q8—24no—
1240C2×Q8—22no—
1241C2×Q8—24no—
1242C2×Q8—42no—
1243C2×Q8—42no—
1244C2×Q8—42no—
1245C2×Q8—42no—
1246C2×Q8—44no—
1247C2×Q8—44no—
1248C2×Q8—44no—
1249C2×Q8H(5,𝔽2)14yes—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—24no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—24no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—42no—
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—42no—
1289C2×D4—42no—
1290C2×D4—44no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—44no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—42no—
1301C2×D4—44no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—28no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—24no—
1329C22×C4—24no—
1330C22×C4—24no—
1331C22×C4—24no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—24no—
1340C22×C4—24no—
1341C22×C4—22no—
1342C22×C4—24no—
1343C22×C4—24no—
1344C22×C4—24no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—42no—
1350C22×C4—42no—
1351C22×C4—42no—
1352C22×C4—44no—
1353C22×C4—44no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—42no—
1357C22×C4—42no—
1358C22×C4—44no—
1359C22×C4—44no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4H(5,𝔽2)14yes—
1366C22×C42−1+414yes—
1367C22×C4C2512yes—
1368C22×C4C2511yescharacteristic
1369C22×C4C2512yes—
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2511yescharacteristic
1375C22×C4C2512yes—
1376C22×C4C2512yes—
1377C22×C4C2511yescharacteristic
1378C22×C4C2511yescharacteristic
1379C22×C4C2512yes—
1380C22×C4C2512yes—
1381C22×C4C2514yes—
1382C22×C4C2514yes—
1383C22×C4C2514yes—
1384C22×C4C2512yes—
1385C22×C4C2514yes—
1386C22×C4C2511yescharacteristic
1387C22×C4C2511yescharacteristic
1388C22×C4C2512yes—
1389C22×C4C2511yescharacteristic
1390C22×C4C2511yescharacteristic
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C4⋊C4—24no—
1397C4⋊C4—28no—
1398C4⋊C4—24no—
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—24no—
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—22no—
1407C4⋊C4—22no—
1408C4⋊C4—22no—
1409C4⋊C4—22no—
1410C4⋊C4—24no—
1411C4⋊C4—24no—
1412C4⋊C4—22no—
1413C4⋊C4—28no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—28no—
1417C4⋊C4—28no—
1418C4⋊C4—28no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—22no—
1426C4⋊C4—44no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—44no—
1431C4⋊C4—42no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—42no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C4⋊C4—44no—
1442C4⋊C4—42no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4—42no—
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—42no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—44no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C4⋊C42−1+414yes—
1464C22⋊C4—22no—
1465C22⋊C4—28no—
1466C22⋊C4—22no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—22no—
1473C22⋊C4—24no—
1474C22⋊C4—28no—
1475C22⋊C4—28no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—24no—
1482C22⋊C4—24no—
1483C22⋊C4—24no—
1484C22⋊C4—24no—
1485C22⋊C4—24no—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—44no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—42no—
1523C22⋊C4—44no—
1524C22⋊C4—42no—
1525C22⋊C4—42no—
1526C22⋊C4—42no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—44no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C42—22no—
1535C42—22no—
1536C42—22no—
1537C42—22no—
1538C42—22no—
1539C42—22no—
1540C42—24no—
1541C42—24no—
1542C42—22no—
1543C42—24no—
1544C42—28no—
1545C42—22no—
1546C42—22no—
1547C42—22no—
1548C42—22no—
1549C42—24no—
1550C42—42no—
1551C42—42no—
1552C42—42no—
1553C42—42no—
1554C42—44no—
1555C42—44no—
1556C42—44no—
1557C42—44no—
1558C42—41no—
1559C42H(5,𝔽2)14yes—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—22no—
1587C23—22no—
1588C23—22no—
1589C23—22no—
1590C23—22no—
1591C23—22no—
1592C23—22no—
1593C23—22no—
1594C23—22no—
1595C23—22no—
1596C23—22no—
1597C23—22no—
1598C23—22no—
1599C23—22no—
1600C23C2×H(5,𝔽2)12yes—
1601C23C2×2−1+412yes—
1602C23C2611yescharacteristic
1603Q8—28no—
1604Q8—44no—
1605Q8—48no—
1606Q8—84no—
1607Q8—84no—
1608Q8—164no—
1609D4—28no—
1610D4—48no—
1611D4—48no—
1612D4—48no—
1613D4—44no—
1614D4—44no—
1615D4—44no—
1616D4—44no—
1617D4—84no—
1618D4—84no—
1619D4—84no—
1620D4—84no—
1621D4—84no—
1622D4—84no—
1623D4—84no—
1624D4—84no—
1625D4—84no—
1626D4—88no—
1627D4—164no—
1628D4—164no—
1629D4—164no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—28no—
1645C2×C4—28no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—24no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—24no—
1662C2×C4—24no—
1663C2×C4—24no—
1664C2×C4—22no—
1665C2×C4—24no—
1666C2×C4—22no—
1667C2×C4—24no—
1668C2×C4—24no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—24no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—24no—
1694C2×C4—21no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—24no—
1702C2×C4—22no—
1703C2×C4—24no—
1704C2×C4—22no—
1705C2×C4—24no—
1706C2×C4—44no—
1707C2×C4—44no—
1708C2×C4—48no—
1709C2×C4—48no—
1710C2×C4—44no—
1711C2×C4—48no—
1712C2×C4—48no—
1713C2×C4—44no—
1714C2×C4—48no—
1715C2×C4—48no—
1716C2×C4—84no—
1717C2×C4—84no—
1718C2×C4—88no—
1719C2×C4—88no—
1720C2×C4—164no—
1721C2×C4—164no—
1722C2×C4C2×H(5,𝔽2)12yes—
1723C2×C4C2×H(5,𝔽2)14yes—
1724C2×C4C2×H(5,𝔽2)12yes—
1725C2×C4C2×H(5,𝔽2)12yes—
1726C2×C4C2×H(5,𝔽2)12yes—
1727C2×C4C2×H(5,𝔽2)12yes—
1728C2×C4C2×H(5,𝔽2)12yes—
1729C2×C4C2×2−1+412yes—
1730C2×C4C2×2−1+412yes—
1731C2×C4C2×2−1+412yes—
1732C2×C4C2×2−1+412yes—
1733C2×C4C2×2−1+412yes—
1734C2×C4#58512yes—
1735C22—22no—
1736C22—22no—
1737C22—22no—
1738C22—22no—
1739C22—22no—
1740C22—22no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—42no—
1750C22—42no—
1751C22—42no—
1752C22—42no—
1753C22—42no—
1754C22—42no—
1755C22—42no—
1756C22—42no—
1757C22—42no—
1758C22—42no—
1759C22—42no—
1760C22—42no—
1761C22—42no—
1762C22—42no—
1763C22—42no—
1764C22—42no—
1765C22—42no—
1766C22—42no—
1767C22—42no—
1768C22—42no—
1769C22—42no—
1770C22—42no—
1771C22—42no—
1772C22—42no—
1773C22—42no—
1774C22—42no—
1775C22—42no—
1776C22—42no—
1777C22C22×H(5,𝔽2)11yescharacteristic
1778C22C22×H(5,𝔽2)11yescharacteristic
1779C22C22×H(5,𝔽2)11yescharacteristic
1780C22C22×2−1+411yescharacteristic
1781C22C22×2−1+411yescharacteristic
1782C22C2×#58511yescharacteristic
1783C22H(7,𝔽2)11yescharacteristic
1784C4—22no—
1785C4—24no—
1786C4—22no—
1787C4—22no—
1788C4—22no—
1789C4—22no—
1790C4—22no—
1791C4—41no—
1792C4—42no—
1793C4—42no—
1794C4—42no—
1795C4—41no—
1796C4—42no—
1797C4—44no—
1798C4—44no—
1799C4—42no—
1800C4—44no—
1801C4—41no—
1802C4—41no—
1803C4—42no—
1804C4—42no—
1805C4—42no—
1806C4—41no—
1807C4—42no—
1808C4—42no—
1809C4—42no—
1810C4—44no—
1811C4#353614yes—
1812C4#354214yes—
1813C2—42no—
1814C2—42no—
1815C2—82no—
1816C2—82no—
1817C2—82no—
1818C2—82no—
1819C2C2×#354211yescharacteristic
1820C2C2×#353611yescharacteristic
1821C2#6283311yescharacteristic
1822C2#6291611yescharacteristic
1823C2#6292611yescharacteristic
1824C2#6294411yescharacteristic
1825C2#6303911yescharacteristic
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. #59418C2semidirect
2. #59312C2semidirect
3. #59305C2semidirect
4. #58927C2semidirect
5. #58250C2semidirect
6. #58017C2semidirect
7. #53095C2semidirect
8. #52972C2semidirect
9. #50135C2semidirect
10. #45649C2semidirect
11. #45501C2semidirect
12. #44915C2semidirect
13. #44913C2semidirect
14. #42798C2semidirect
15. #42460C2semidirect
16. #42448C2semidirect
17. #42434C2semidirect
18. #40125C2semidirect
19. #39658C2semidirect
20. #39563C2semidirect
21. #39505C2semidirect
22. #39471C2semidirect
23. #39433C2semidirect
24. #39377C2semidirect
25. #39340C2semidirect
26. #37627C2semidirect
27. #37310C2semidirect
28. #37296C2semidirect
29. #36505C2semidirect
30. #36445C2semidirect
31. #36180C2semidirect
32. #35273C2semidirect
33. #35273C2semidirect
34. #34715C2semidirect
35. #34715C2semidirect

Maximal subgroups

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

subgroupindex
#594182
#593122
#593052
#589272
#582502
#580172
#530952
#529722
#501352
#456492
#455012
#449152
#449132
#427982
#424602
#424482
#424342
#401252
#396582
#395632
#395052
#394712
#394332
#393772
#393402
#376272
#373102
#372962
#365052
#364452
#361802
#352732
#347152