Finite Group Databasebeta

← #7878796

Subgroups — #7878796

Order 512.

5266 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59918C212yesmaximal, complemented
2#59642C211yesmaximal, characteristic, complemented
3#59313C211yesmaximal, characteristic, complemented
4#59275C212yesmaximal, complemented
5#59219C211yesmaximal, characteristic, complemented
6#49680C214yesmaximal, complemented
7#48327C214yesmaximal, complemented
8#46656C214yesmaximal, complemented
9#45062C212yesmaximal, complemented
10#45005C212yesmaximal, complemented
11#44978C212yesmaximal, complemented
12#44869C212yesmaximal, complemented
13#44303C214yesmaximal, complemented
14#42601C212yesmaximal, complemented
15#42446C212yesmaximal, complemented
16#40045C212yesmaximal, complemented
17#39609C211yesmaximal, characteristic, complemented
18#39604C212yesmaximal, complemented
19#39481C211yesmaximal, characteristic, complemented
20#39340C211yesmaximal, characteristic, complemented
21#38964C211yesmaximal, characteristic, complemented
22#38041C212yesmaximal, complemented
23#37968C212yesmaximal, complemented
24#36464C211yesmaximal, characteristic, complemented
25#36404C211yesmaximal, characteristic, complemented
26#36189C211yesmaximal, characteristic, complemented
27#35715C212yesmaximal, complemented
28#35693C212yesmaximal, complemented
29#35530C212yesmaximal, complemented
30#35520C212yesmaximal, complemented
31#34932C211yesmaximal, characteristic, complemented
32#34715C211yesmaximal, characteristic, complemented
33#34368C211yesmaximal, characteristic, complemented
34#34308C211yesmaximal, characteristic, complemented
35#34183C211yesmaximal, characteristic, complemented
36C2×#547C2211yescharacteristic
37C2×#547C2212yes—
38C2×#547C2212yes—
39C2×#537C2212yes—
40C2×#532C2211yescharacteristic
41C2×#529C2212yes—
42C2×#520C2212yes—
43C2×#520C2212yes—
44C2×C4×#41C2211yescharacteristic
45#2859C2211yescharacteristic
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic
48#2855C2212yes—
49#2854C2212yes—
50#2827C2214yes—
51#2807C2214yes—
52#2806C2214yes—
53#2800C2214yes—
54#2796C2214yes—
55#2792C2214yes—
56#2791C2214yes—
57#2790C2214yes—
58#2774C2214yes—
59#2773C2214yes—
60#2772C2214yes—
61#2770C2214yes—
62#2765C2214yes—
63#2763C2214yes—
64#2762C2214yes—
65#2746C2214yes—
66#2745C2214yes—
67#2743C2214yes—
68#2742C2214yes—
69#2741C2214yes—
70#2737C2214yes—
71#2723C2214yes—
72#2720C2214yes—
73#2720C2214yes—
74#2718C2214yes—
75#2710C2214yes—
76#2708C2214yes—
77#2701C2214yes—
78#2696C2214yes—
79#2687C2214yes—
80#2681C2214yes—
81#2680C2214yes—
82#2672C2214yes—
83#2671C2214yes—
84#2653C2214yes—
85#2638C2214yes—
86#2630C2214yes—
87#2628C2212yes—
88#2628C2212yes—
89#2627C2214yes—
90#2624C2212yes—
91#2616C2212yes—
92#2602C2214yes—
93#2597C2214yes—
94#2589C2214yes—
95#2586C2214yes—
96#2583C2214yes—
97#2582C2212yes—
98#2580C2212yes—
99#2580C2212yes—
100#2575C2214yes—
101#2571C2211yescharacteristic
102#2570C2212yes—
103#2570C2212yes—
104#2568C2211yescharacteristic
105#2567C2212yes—
106#2567C2212yes—
107#2558C2214yes—
108#2553C2212yes—
109#2553C2212yes—
110#2552C2211yescharacteristic
111#2551C2211yescharacteristic
112#2549C2214yes—
113#2547C2211yescharacteristic
114#2542C2211yescharacteristic
115#2542C2211yescharacteristic
116#2538C2211yescharacteristic
117#2537C2211yescharacteristic
118#2537C2212yes—
119#2537C2211yescharacteristic
120#2536C2212yes—
121#2536C2212yes—
122#2518C2214yes—
123#2516C2214yes—
124#2515C2214yes—
125#2513C2212yes—
126#2511C2212yes—
127#2511C2212yes—
128#2509C2212yes—
129#2508C2212yes—
130#2507C2212yes—
131#2507C2214yes—
132#2507C2212yes—
133#2507C2212yes—
134#2502C2214yes—
135#2502C2212yes—
136#2501C2214yes—
137#2500C2214yes—
138#2499C2214yes—
139#2499C2212yes—
140#2497C2212yes—
141#2497C2212yes—
142#2496C2211yescharacteristic
143#2496C2211yescharacteristic
144#2495C2212yes—
145#2494C2212yes—
146#2494C2212yes—
147#2492C2212yes—
148#2492C2212yes—
149#2489C2212yes—
150#2488C2214yes—
151#2487C2212yes—
152#2486C2212yes—
153#2486C2212yes—
154#2486C2212yes—
155#2479C2214yes—
156#2477C2214yes—
157#2477C2214yes—
158#2476C2212yes—
159#2474C2212yes—
160#2473C2214yes—
161#2471C2214yes—
162#2470C2214yes—
163#2470C2214yes—
164#2470C2214yes—
165#2470C2214yes—
166#2468C2214yes—
167#2464C2214yes—
168#2459C2214yes—
169#2459C2212yes—
170#2457C2214yes—
171#2456C2212yes—
172#2455C2214yes—
173#2455C2214yes—
174#2452C2212yes—
175#2451C2211yescharacteristic
176#2451C2212yes—
177#2449C2214yes—
178#2445C2211yescharacteristic
179#2443C2214yes—
180#2443C2214yes—
181#2443C2214yes—
182#2443C2214yes—
183#2442C2212yes—
184#2441C2212yes—
185#2440C2212yes—
186#2440C2212yes—
187#2440C2212yes—
188#2440C2212yes—
189#2439C2212yes—
190#2439C2211yescharacteristic
191#2431C2211yescharacteristic
192#2430C2214yes—
193#2428C2212yes—
194#2427C2212yes—
195#2426C2211yescharacteristic
196#2426C2212yes—
197#2423C2212yes—
198#2423C2212yes—
199#2423C2212yes—
200#2423C2212yes—
201#2422C2212yes—
202#2422C2212yes—
203#2422C2211yescharacteristic
204#2422C2212yes—
205#2422C2211yescharacteristic
206#2422C2212yes—
207#2420C2212yes—
208#2420C2211yescharacteristic
209#2417C2212yes—
210#2417C2212yes—
211#2416C2212yes—
212#2415C2212yes—
213#2415C2212yes—
214#2414C2211yescharacteristic
215#2407C2212yes—
216#2407C2212yes—
217#2407C2214yes—
218#2407C2212yes—
219#2407C2211yescharacteristic
220#2406C2214yes—
221#2406C2214yes—
222#2395C2212yes—
223#2395C2212yes—
224#2392C2212yes—
225#2388C2214yes—
226#2388C2212yes—
227#2379C2214yes—
228#2369C2212yes—
229#2368C2214yes—
230#2367C2212yes—
231#2366C2212yes—
232#2365C2211yescharacteristic
233#2363C2212yes—
234#2361C2212yes—
235#2360C2212yes—
236#2360C2212yes—
237#2360C2212yes—
238#2360C2212yes—
239#2360C2212yes—
240#2359C2214yes—
241#2357C2212yes—
242#2354C2211yescharacteristic
243#2354C2211yescharacteristic
244#2354C2212yes—
245#2352C2212yes—
246#2352C2212yes—
247Q8×C4⋊C4C2212yes—
248Q8×C4⋊C4C2211yescharacteristic
249Q8×C4⋊C4C2211yescharacteristic
250D4×C4⋊C4C2211yescharacteristic
251D4×C4⋊C4C2211yescharacteristic
252D4×C4⋊C4C2214yes—
253D4×C4⋊C4C2211yescharacteristic
254D4×C4⋊C4C2212yes—
255D4×C4⋊C4C2211yescharacteristic
256D4×C4⋊C4C2212yes—
257D4×C4⋊C4C2212yes—
258D4×C4⋊C4C2212yes—
259#2347C2212yes—
260#2345C2212yes—
261#2344C2212yes—
262#2339C2212yes—
263#2324C2212yes—
264#2324C2214yes—
265#2324C2212yes—
266#2323C2212yes—
267#2323C2212yes—
268#2322C2214yes—
269#2322C2214yes—
270#2317C2214yes—
271#2317C2212yes—
272#2317C2212yes—
273#2314C2212yes—
274#2311C2212yes—
275#2311C2212yes—
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2211yescharacteristic
278C4×#124C2211yescharacteristic
279C4×C22⋊Q8C2212yes—
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2211yescharacteristic
282C4×#123C2212yes—
283C4×#121C2212yes—
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287#2297C2212yes—
288#2297C2212yes—
289#2293C2211yescharacteristic
290C2×#389C2212yes—
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2285C2212yes—
295C2×#384C2211yescharacteristic
296C2×#384C2212yes—
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2314yes—
303#547—28no—
304#547—48no—
305#547—48no—
306#537—48no—
307#532—28no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×#127C2311yescharacteristic
314#529—48no—
315C2×#126C2312yes—
316C2×#126C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#124C2311yescharacteristic
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#123C2312yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×#123C2312yes—
326C2×#123C2314yes—
327C2×#123C2312yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×#121C2311yescharacteristic
346C2×#121C2311yescharacteristic
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2311yescharacteristic
351C2×#121C2311yescharacteristic
352C2×#121C2311yescharacteristic
353C2×#121C2312yes—
354C2×#121C2314yes—
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×#121C2312yes—
358#520—48no—
359#520—48no—
360C4×#41—28no—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2314yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2314yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2311yescharacteristic
392C2×#117C2312yes—
393C2×#117C2311yescharacteristic
394C2×#117C2312yes—
395C2×#117C2312yes—
396C2×#117C2312yes—
397C2×#117C2312yes—
398C2×#117C2314yes—
399C2×#117C2312yes—
400C2×#117C2314yes—
401C2×#117C2312yes—
402C22×C4⋊C4C2312yes—
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2312yes—
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2312yes—
407C22×C4⋊C4C2314yes—
408C22×C4⋊C4C2314yes—
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2314yes—
412C22×C4⋊C4C2312yes—
413C22×C42C2312yes—
414C22×C42C2311yescharacteristic
415C22×C42C2311yescharacteristic
416C22×C42C2312yes—
417#401C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2312yes—
428#400C2312yes—
429#400C2314yes—
430#399C2314yes—
431#399C2312yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2312yes—
437#399C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2312yes—
445#398C2314yes—
446#398C2312yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2312yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#397C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2312yes—
460#397C2314yes—
461#397C2312yes—
462#397C2314yes—
463#397C2312yes—
464#397C2312yes—
465#397C2312yes—
466#397C2314yes—
467#397C2312yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2312yes—
475#396C2312yes—
476#396C2314yes—
477#396C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2314yes—
481#395C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2312yes—
485#395C2314yes—
486#394C2312yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2312yes—
496#394C2312yes—
497#394C2314yes—
498#394C2312yes—
499#394C2312yes—
500#394C2312yes—
501#394C2312yes—
502#394C2312yes—
503#394C2312yes—
504#394C2312yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#393C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2312yes—
513#392C2312yes—
514#392C2312yes—
515#392C2314yes—
516#392C2314yes—
517#392C2312yes—
518#392C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2314yes—
522#391C2314yes—
523#391C2312yes—
524#391C2312yes—
525#391C2314yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2311yescharacteristic
530#391C2314yes—
531#391C2312yes—
532#391C2314yes—
533#391C2312yes—
534#391C2311yescharacteristic
535#391C2312yes—
536#391C2312yes—
537#390C2314yes—
538#390C2314yes—
539#390C2312yes—
540#390C2312yes—
541#390C2314yes—
542#390C2311yescharacteristic
543#390C2311yescharacteristic
544#390C2312yes—
545#390C2312yes—
546#390C2311yescharacteristic
547#390C2312yes—
548#390C2311yescharacteristic
549#390C2314yes—
550#390C2312yes—
551#390C2311yescharacteristic
552#390C2311yescharacteristic
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2312yes—
556#389C2311yescharacteristic
557#389C2312yes—
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2312yes—
561#389C2314yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#389C2314yes—
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2314yes—
576#389C2312yes—
577#389C2312yes—
578#389C2314yes—
579#389C2312yes—
580#389C2312yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2311yescharacteristic
585#389C2312yes—
586#389C2311yescharacteristic
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2314yes—
591#389C2312yes—
592#389C2314yes—
593#389C2314yes—
594#389C2312yes—
595#389C2314yes—
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#389C2311yescharacteristic
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2312yes—
626#388C2312yes—
627#388C2312yes—
628#388C2312yes—
629#388C2312yes—
630#388C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2312yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2312yes—
668#386C2312yes—
669#386C2314yes—
670#386C2314yes—
671#386C2312yes—
672#386C2312yes—
673#386C2314yes—
674#386C2312yes—
675#386C2312yes—
676#386C2312yes—
677#386C2312yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2312yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2312yes—
705#385C2312yes—
706#385C2312yes—
707#384C2311yescharacteristic
708#384C2311yescharacteristic
709#384C2311yescharacteristic
710#384C2314yes—
711#384C2312yes—
712#384C2312yes—
713#384C2312yes—
714#384C2311yescharacteristic
715#384C2314yes—
716#384C2311yescharacteristic
717#384C2312yes—
718#384C2312yes—
719#384C2314yes—
720#384C2311yescharacteristic
721#384C2311yescharacteristic
722#384C2312yes—
723#384C2311yescharacteristic
724#383C2314yes—
725#382C2312yes—
726#382C2312yes—
727#382C2311yescharacteristic
728#382C2312yes—
729#382C2312yes—
730#382C2312yes—
731#382C2314yes—
732#382C2312yes—
733#382C2314yes—
734#382C2312yes—
735#381C2314yes—
736#381C2314yes—
737#381C2314yes—
738#381C2312yes—
739#381C2314yes—
740#380C2312yes—
741#380C2311yescharacteristic
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2311yescharacteristic
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2314yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2311yescharacteristic
760#380C2311yescharacteristic
761#380C2312yes—
762#380C2314yes—
763#380C2311yescharacteristic
764#380C2314yes—
765#380C2311yescharacteristic
766#380C2311yescharacteristic
767#380C2312yes—
768#380C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2311yescharacteristic
817C2×#95C2314yes—
818C43C2311yescharacteristic
819C2×#41—24no—
820C2×#41—24no—
821C2×#41—28no—
822C2×#41—28no—
823C2×#41—28no—
824C2×#41—24no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—48no—
828C2×#41—48no—
829C2×#41—44no—
830C2×#41—84no—
831C22×Q8C2412yes—
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×Q8C2412yes—
835C22×Q8C2414yes—
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2414yes—
841C22×D4C2412yes—
842C22×D4C2411yescharacteristic
843C22×D4C2411yescharacteristic
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2414yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2414yes—
857C23×C4C2411yescharacteristic
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2411yescharacteristic
862C23×C4C2414yes—
863C23×C4C2412yes—
864C23×C4C2414yes—
865C23×C4C2412yes—
866C23×C4C2414yes—
867C23×C4C2414yes—
868C23×C4C2414yes—
869C4⋊Q8—24no—
870C4⋊Q8—24no—
871C4⋊Q8—42no—
872C4⋊Q8—44no—
873C4⋊Q8—44no—
874#127—24no—
875#126—44no—
876#126—44no—
877#125—44no—
878#125—82no—
879#124—24no—
880#124—28no—
881#124—44no—
882#123—28no—
883#123—216no—
884#123—44no—
885#123—48no—
886#123—44no—
887#123—48no—
888#123—48no—
889#123—48no—
890#123—84no—
891#123—84no—
892C22⋊Q8—24no—
893C22⋊Q8—28no—
894C22⋊Q8—28no—
895C22⋊Q8—28no—
896C22⋊Q8—48no—
897C22⋊Q8—48no—
898C22⋊Q8—44no—
899C22⋊Q8—48no—
900C22⋊Q8—44no—
901C22⋊Q8—44no—
902C22⋊Q8—44no—
903C22⋊Q8—44no—
904C22⋊Q8—84no—
905#121—24no—
906#121—28no—
907#121—24no—
908#121—28no—
909#121—24no—
910#121—24no—
911#121—24no—
912#121—28no—
913#121—44no—
914#121—48no—
915#121—48no—
916#121—44no—
917#121—48no—
918C4×Q8—24no—
919C4×Q8—24no—
920C4×Q8—44no—
921C4×Q8—44no—
922C4×Q8—44no—
923C4×Q8—44no—
924C4×Q8—44no—
925C4×D4—24no—
926C4×D4—24no—
927C4×D4—28no—
928C4×D4—28no—
929C4×D4—28no—
930C4×D4—24no—
931C4×D4—28no—
932C4×D4—24no—
933C4×D4—28no—
934C4×D4—24no—
935C4×D4—24no—
936C4×D4—42no—
937C4×D4—44no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—42no—
941C4×D4—44no—
942C4×D4—44no—
943C4×D4—48no—
944C4×D4—48no—
945C4×D4—48no—
946C4×D4—48no—
947C4×D4—84no—
948C4×D4#4118yescomplemented
949#117—28no—
950#117—24no—
951#117—28no—
952#117—44no—
953#117—44no—
954#117—48no—
955#117—44no—
956#117—44no—
957#117—48no—
958#117—82no—
959C2×C4⋊C4—28no—
960C2×C4⋊C4—28no—
961C2×C4⋊C4—48no—
962C2×C4⋊C4—44no—
963C2×C4⋊C4—44no—
964C2×C4⋊C4—44no—
965C2×C4⋊C4—44no—
966C2×C4⋊C4—44no—
967C2×C4⋊C4—48no—
968C2×C4⋊C4—82no—
969C2×C4⋊C4—84no—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2411yescharacteristic
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2411yescharacteristic
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C42—28no—
1103C2×C42—24no—
1104C2×C42—24no—
1105C2×C42—44no—
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2414yes—
1125C2×C42C2414yes—
1126C2×C42C2414yes—
1127C2×C42C2414yes—
1128C2×C42C2414yes—
1129C2×C42C2414yes—
1130C2×C42C2414yes—
1131C2×C42C2412yes—
1132C2×C42C2411yescharacteristic
1133C2×C42C2412yes—
1134C2×C42C2411yescharacteristic
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2411yescharacteristic
1142#95C2412yes—
1143#95C2411yescharacteristic
1144#95C2411yescharacteristic
1145#95C2412yes—
1146#95C2412yes—
1147#95C2411yescharacteristic
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199C24C2512yes—
1200C24C2511yescharacteristic
1201C24C2512yes—
1202C24C2511yescharacteristic
1203C24C2512yes—
1204#41—232no—
1205#41—432no—
1206#41—816no—
1207#41—832no—
1208C2×Q8—22no—
1209C2×Q8—24no—
1210C2×Q8—24no—
1211C2×Q8—22no—
1212C2×Q8—24no—
1213C2×Q8—24no—
1214C2×Q8—24no—
1215C2×Q8—42no—
1216C2×Q8—42no—
1217C2×Q8—44no—
1218C2×Q8—44no—
1219C2×Q8—44no—
1220C2×Q8—42no—
1221C2×Q8—42no—
1222C2×Q82−1+414yes—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—28no—
1227C2×D4—22no—
1228C2×D4—24no—
1229C2×D4—28no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—28no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—24no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—24no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—24no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—41no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—44no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—44no—
1258C2×D4—42no—
1259C2×D4—44no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4C2×#4114yes—
1264C2×D4H(5,𝔽2)14yes—
1265C22×C4—24no—
1266C22×C4—22no—
1267C22×C4—24no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—22no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—28no—
1274C22×C4—28no—
1275C22×C4—24no—
1276C22×C4—28no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—24no—
1283C22×C4—28no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—22no—
1287C22×C4—24no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—24no—
1293C22×C4—22no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—24no—
1299C22×C4—41no—
1300C22×C4—42no—
1301C22×C4—41no—
1302C22×C4—44no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—42no—
1311C22×C4—44no—
1312C22×C4—42no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4C2×#4118yes—
1321C22×C4H(5,𝔽2)14yes—
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2514yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2511yescharacteristic
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2514yes—
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2514yes—
1338C22×C4C2511yescharacteristic
1339C22×C4C2514yes—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2511yescharacteristic
1343C22×C4C2511yescharacteristic
1344C22×C4C2512yes—
1345C22×C4C2511yescharacteristic
1346C22×C4C2511yescharacteristic
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C22×C4C2512yes—
1350C22×C4C2511yescharacteristic
1351C22×C4C2511yescharacteristic
1352C4⋊C4—24no—
1353C4⋊C4—28no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—22no—
1357C4⋊C4—24no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—24no—
1361C4⋊C4—28no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—24no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—24no—
1372C4⋊C4—22no—
1373C4⋊C4—24no—
1374C4⋊C4—22no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—28no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—22no—
1382C4⋊C4—24no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—41no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—42no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—42no—
1423C4⋊C4C2×#4114yes—
1424C4⋊C42−1+414yes—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—28no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—28no—
1432C22⋊C4—24no—
1433C22⋊C4—22no—
1434C22⋊C4—24no—
1435C22⋊C4—28no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—22no—
1443C22⋊C4—24no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—28no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—42no—
1458C22⋊C4—44no—
1459C22⋊C4—42no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—44no—
1464C22⋊C4—42no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—44no—
1471C22⋊C4—42no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—42no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4C2×#4118yes—
1484C42—22no—
1485C42—22no—
1486C42—24no—
1487C42—22no—
1488C42—24no—
1489C42—22no—
1490C42—24no—
1491C42—22no—
1492C42—22no—
1493C42—22no—
1494C42—24no—
1495C42—24no—
1496C42—22no—
1497C42—24no—
1498C42—24no—
1499C42—22no—
1500C42—22no—
1501C42—22no—
1502C42—42no—
1503C42—42no—
1504C42—44no—
1505C42—44no—
1506C42—44no—
1507C42—44no—
1508C42—44no—
1509C42—44no—
1510C42—44no—
1511C42—41no—
1512C42C2×#4114yes—
1513C23—21no—
1514C23—22no—
1515C23—22no—
1516C23—22no—
1517C23—22no—
1518C23—21no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—21no—
1523C23—22no—
1524C23—21no—
1525C23—21no—
1526C23—22no—
1527C23—22no—
1528C23—22no—
1529C23—22no—
1530C23—21no—
1531C23—22no—
1532C23—21no—
1533C23—21no—
1534C23—22no—
1535C23—21no—
1536C23—22no—
1537C23—21no—
1538C23—22no—
1539C23—22no—
1540C23—21no—
1541C23—22no—
1542C23—21no—
1543C23—21no—
1544C23—22no—
1545C23C22×#4114yes—
1546C23C2×H(5,𝔽2)14yes—
1547C23C2×H(5,𝔽2)12yes—
1548C23C2611yescharacteristic
1549Q8—28no—
1550Q8—48no—
1551Q8—84no—
1552Q8—84no—
1553Q8—88no—
1554D4—216no—
1555D4—28no—
1556D4—28no—
1557D4—48no—
1558D4—44no—
1559D4—416no—
1560D4—48no—
1561D4—48no—
1562D4—44no—
1563D4—84no—
1564D4—84no—
1565D4—84no—
1566D4—84no—
1567D4—88no—
1568C2×C4—216no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—28no—
1584C2×C4—216no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—24no—
1606C2×C4—24no—
1607C2×C4—24no—
1608C2×C4—24no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—24no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—24no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—24no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—24no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—24no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—24no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—24no—
1648C2×C4—44no—
1649C2×C4—44no—
1650C2×C4—48no—
1651C2×C4—416no—
1652C2×C4—48no—
1653C2×C4—44no—
1654C2×C4—44no—
1655C2×C4—48no—
1656C2×C4—44no—
1657C2×C4—84no—
1658C2×C4—84no—
1659C2×C4—88no—
1660C2×C4—88no—
1661C2×C4—88no—
1662C2×C4—164no—
1663C2×C4—164no—
1664C2×C4C22×#4112yes—
1665C2×C4C22×#4114yes—
1666C2×C4C22×#4112yes—
1667C2×C4C22×#4112yes—
1668C2×C4C2×H(5,𝔽2)12yes—
1669C2×C4C2×H(5,𝔽2)12yes—
1670C2×C4C2×H(5,𝔽2)12yes—
1671C2×C4C2×2−1+412yes—
1672C2×C4C2×2−1+414yes—
1673C2×C4C2×2−1+412yes—
1674C2×C4C2×2−1+412yes—
1675C2×C4C2×2−1+412yes—
1676C2×C4#58512yes—
1677C22—24no—
1678C22—24no—
1679C22—22no—
1680C22—24no—
1681C22—24no—
1682C22—24no—
1683C22—22no—
1684C22—22no—
1685C22—24no—
1686C22—41no—
1687C22—42no—
1688C22—42no—
1689C22—41no—
1690C22—42no—
1691C22—41no—
1692C22—42no—
1693C22—42no—
1694C22—42no—
1695C22—42no—
1696C22—41no—
1697C22—42no—
1698C22—41no—
1699C22—42no—
1700C22—41no—
1701C22—42no—
1702C22—41no—
1703C22—42no—
1704C22—41no—
1705C22—42no—
1706C22—41no—
1707C22—42no—
1708C22—42no—
1709C22—41no—
1710C22—41no—
1711C22—42no—
1712C22C23×#4111yescharacteristic
1713C22C22×H(5,𝔽2)11yescharacteristic
1714C22C22×H(5,𝔽2)11yescharacteristic
1715C22C22×2−1+411yescharacteristic
1716C22C22×2−1+411yescharacteristic
1717C22C2×#58511yescharacteristic
1718C22H(7,𝔽2)11yescharacteristic
1719C4—22no—
1720C4—22no—
1721C4—22no—
1722C4—22no—
1723C4—24no—
1724C4—24no—
1725C4—22no—
1726C4—42no—
1727C4—41no—
1728C4—42no—
1729C4—41no—
1730C4—44no—
1731C4—41no—
1732C4—42no—
1733C4—41no—
1734C4—42no—
1735C4—42no—
1736C4—42no—
1737C4—42no—
1738C4—41no—
1739C4—44no—
1740C4—42no—
1741C4—42no—
1742C4—42no—
1743C4—44no—
1744C4—42no—
1745C4—41no—
1746C4—44no—
1747C4#349214yes—
1748C4#351314yes—
1749C2—44no—
1750C2—42no—
1751C2—44no—
1752C2—81no—
1753C2—82no—
1754C2C2×#349211yescharacteristic
1755C2C2×#351311yescharacteristic
1756C2#6283511yescharacteristic
1757C2#6291211yescharacteristic
1758C2#6295211yescharacteristic
1759C2#6300011yescharacteristic
1760C2#6303711yescharacteristic
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. #59918C2semidirect
2. #59642C2semidirect
3. #59313C2semidirect
4. #59275C2semidirect
5. #59219C2semidirect
6. #49680C2semidirect
7. #48327C2semidirect
8. #46656C2semidirect
9. #45062C2semidirect
10. #45005C2semidirect
11. #44978C2semidirect
12. #44869C2semidirect
13. #44303C2semidirect
14. #42601C2semidirect
15. #42446C2semidirect
16. #40045C2semidirect
17. #39609C2semidirect
18. #39604C2semidirect
19. #39481C2semidirect
20. #39340C2semidirect
21. #38964C2semidirect
22. #38041C2semidirect
23. #37968C2semidirect
24. #36464C2semidirect
25. #36404C2semidirect
26. #36189C2semidirect
27. #35715C2semidirect
28. #35693C2semidirect
29. #35530C2semidirect
30. #35520C2semidirect
31. #34932C2semidirect
32. #34715C2semidirect
33. #34368C2semidirect
34. #34308C2semidirect
35. #34183C2semidirect
948. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#599182
#596422
#593132
#592752
#592192
#496802
#483272
#466562
#450622
#450052
#449782
#448692
#443032
#426012
#424462
#400452
#396092
#396042
#394812
#393402
#389642
#380412
#379682
#364642
#364042
#361892
#357152
#356932
#355302
#355202
#349322
#347152
#343682
#343082
#341832