Finite Group Databasebeta

← #8459262

Subgroups — #8459262

Order 512.

4894 conjugacy classes of subgroups.

The subgroup lattice has 1771 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59815C211yesmaximal, characteristic, complemented
2#59305C211yesmaximal, characteristic, complemented
3#59243C211yesmaximal, characteristic, complemented
4#58871C214yesmaximal, complemented
5#57279C214yesmaximal, complemented
6#55160C214yesmaximal, complemented
7#53152C212yesmaximal, complemented
8#52973C212yesmaximal, complemented
9#48281C214yesmaximal, complemented
10#46340C212yesmaximal, complemented
11#45515C212yesmaximal, complemented
12#45358C212yesmaximal, complemented
13#44980C212yesmaximal, complemented
14#42679C212yesmaximal, complemented
15#42572C212yesmaximal, complemented
16#42518C212yesmaximal, complemented
17#42505C212yesmaximal, complemented
18#40021C212yesmaximal, complemented
19#40006C212yesmaximal, complemented
20#39762C211yesmaximal, characteristic, complemented
21#39725C211yesmaximal, characteristic, complemented
22#39725C211yesmaximal, characteristic, complemented
23#38909C211yesmaximal, characteristic, complemented
24#38214C212yesmaximal, complemented
25#38088C212yesmaximal, complemented
26#37622C211yesmaximal, characteristic, complemented
27#37356C212yesmaximal, complemented
28#37340C212yesmaximal, complemented
29#36410C211yesmaximal, characteristic, complemented
30#36270C211yesmaximal, characteristic, complemented
31#36182C211yesmaximal, characteristic, complemented
32#35280C211yesmaximal, characteristic, complemented
33#35186C211yesmaximal, characteristic, complemented
34#34929C211yesmaximal, characteristic, complemented
35#34727C211yesmaximal, characteristic, complemented
36C2×#553C2212yes—
37C2×#552C2212yes—
38C2×#550C2211yescharacteristic
39C2×#550C2211yescharacteristic
40C2×#547C2212yes—
41C2×#533C2211yescharacteristic
42C2×#533C2211yescharacteristic
43C2×#529C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45#2861C2212yes—
46#2860C2212yes—
47#2860C2212yes—
48#2859C2211yescharacteristic
49#2857C2212yes—
50#2857C2212yes—
51#2856C2211yescharacteristic
52#2856C2211yescharacteristic
53#2854C2212yes—
54#2837C2214yes—
55#2834C2214yes—
56#2829C2214yes—
57#2826C2214yes—
58#2825C2214yes—
59#2814C2214yes—
60#2813C2214yes—
61#2813C2214yes—
62#2807C2214yes—
63#2803C2214yes—
64#2801C2214yes—
65#2801C2214yes—
66#2790C2214yes—
67#2786C2214yes—
68#2784C2214yes—
69#2779C2214yes—
70#2778C2214yes—
71#2778C2214yes—
72#2778C2214yes—
73#2778C2214yes—
74#2776C2214yes—
75#2776C2214yes—
76#2770C2214yes—
77#2757C2214yes—
78#2757C2214yes—
79#2756C2214yes—
80#2756C2214yes—
81#2756C2214yes—
82#2748C2214yes—
83#2745C2214yes—
84#2742C2214yes—
85#2731C2214yes—
86#2727C2214yes—
87#2718C2214yes—
88#2718C2214yes—
89#2715C2214yes—
90#2714C2214yes—
91#2711C2214yes—
92#2711C2214yes—
93#2708C2214yes—
94#2708C2214yes—
95#2703C2214yes—
96#2703C2214yes—
97#2702C2214yes—
98#2695C2214yes—
99#2695C2214yes—
100#2694C2214yes—
101#2691C2214yes—
102#2686C2214yes—
103#2682C2214yes—
104#2682C2214yes—
105#2676C2214yes—
106#2676C2214yes—
107#2676C2214yes—
108#2674C2214yes—
109#2672C2214yes—
110#2671C2214yes—
111#2664C2214yes—
112#2653C2214yes—
113#2653C2214yes—
114#2651C2214yes—
115#2642C2212yes—
116#2635C2214yes—
117#2631C2214yes—
118#2629C2214yes—
119#2628C2212yes—
120#2625C2212yes—
121#2624C2212yes—
122#2624C2212yes—
123#2623C2214yes—
124#2621C2212yes—
125#2619C2212yes—
126#2619C2212yes—
127#2601C2214yes—
128#2594C2214yes—
129#2592C2212yes—
130#2587C2214yes—
131#2584C2212yes—
132#2582C2211yescharacteristic
133#2582C2212yes—
134#2582C2211yescharacteristic
135#2582C2211yescharacteristic
136#2580C2212yes—
137#2580C2212yes—
138#2579C2214yes—
139#2566C2212yes—
140#2566C2212yes—
141#2562C2212yes—
142#2559C2214yes—
143#2558C2214yes—
144#2556C2212yes—
145#2556C2212yes—
146#2552C2211yescharacteristic
147#2551C2211yescharacteristic
148#2548C2212yes—
149#2548C2211yescharacteristic
150#2548C2212yes—
151#2548C2211yescharacteristic
152#2546C2211yescharacteristic
153#2544C2212yes—
154#2542C2211yescharacteristic
155#2541C2212yes—
156#2540C2212yes—
157#2540C2212yes—
158#2538C2212yes—
159#2538C2211yescharacteristic
160#2538C2211yescharacteristic
161#2538C2211yescharacteristic
162#2538C2211yescharacteristic
163#2538C2211yescharacteristic
164#2537C2212yes—
165#2536C2212yes—
166#2514C2212yes—
167#2514C2212yes—
168#2514C2212yes—
169#2514C2212yes—
170#2513C2212yes—
171#2512C2212yes—
172#2512C2212yes—
173#2512C2212yes—
174#2509C2212yes—
175#2509C2212yes—
176#2507C2212yes—
177#2506C2212yes—
178#2506C2212yes—
179#2504C2212yes—
180#2502C2212yes—
181#2500C2212yes—
182#2499C2212yes—
183#2497C2212yes—
184#2494C2212yes—
185#2494C2212yes—
186#2492C2211yescharacteristic
187#2492C2211yescharacteristic
188#2491C2212yes—
189#2491C2212yes—
190#2490C2212yes—
191#2487C2214yes—
192#2479C2214yes—
193#2479C2212yes—
194#2476C2214yes—
195#2473C2214yes—
196#2473C2214yes—
197#2471C2212yes—
198#2470C2214yes—
199#2470C2214yes—
200#2468C2214yes—
201#2467C2214yes—
202#2467C2212yes—
203#2464C2214yes—
204#2456C2214yes—
205#2456C2212yes—
206#2454C2211yescharacteristic
207#2454C2212yes—
208#2454C2212yes—
209#2454C2214yes—
210#2452C2212yes—
211#2448C2211yescharacteristic
212#2448C2212yes—
213#2447C2212yes—
214#2445C2212yes—
215#2445C2212yes—
216#2445C2212yes—
217#2445C2212yes—
218#2442C2212yes—
219#2441C2211yescharacteristic
220#2432C2212yes—
221#2432C2212yes—
222#2431C2211yescharacteristic
223#2431C2212yes—
224#2429C2211yescharacteristic
225#2429C2211yescharacteristic
226#2428C2212yes—
227#2428C2211yescharacteristic
228#2427C2212yes—
229#2423C2211yescharacteristic
230#2422C2212yes—
231#2422C2212yes—
232#2417C2212yes—
233#2417C2214yes—
234#2417C2212yes—
235#2417C2212yes—
236#2416C2212yes—
237#2416C2212yes—
238#2416C2212yes—
239#2416C2214yes—
240#2415C2212yes—
241#2415C2212yes—
242#2415C2212yes—
243#2414C2212yes—
244#2414C2211yescharacteristic
245#2414C2214yes—
246#2407C2212yes—
247#2407C2212yes—
248#2407C2212yes—
249#2407C2212yes—
250#2407C2212yes—
251#2407C2211yescharacteristic
252#2407C2212yes—
253#2397C2212yes—
254#2396C2212yes—
255#2396C2212yes—
256#2392C2212yes—
257#2376C2214yes—
258#2370C2212yes—
259#2367C2212yes—
260#2363C2212yes—
261#2361C2212yes—
262#2361C2212yes—
263#2361C2212yes—
264#2355C2211yescharacteristic
265#2355C2211yescharacteristic
266#2354C2211yescharacteristic
267#2354C2212yes—
268#2352C2212yes—
269D4×C4⋊C4C2212yes—
270D4×C4⋊C4C2212yes—
271D4×C4⋊C4C2211yescharacteristic
272#2337C2214yes—
273#2330C2212yes—
274#2326C2212yes—
275#2324C2212yes—
276#2324C2212yes—
277#2319C2212yes—
278#2316C2212yes—
279#2311C2212yes—
280#2311C2212yes—
281C4×C4⋊Q8C2212yes—
282C4×C4⋊Q8C2211yescharacteristic
283C4×#127C2211yescharacteristic
284C4×#127C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic
289C4×#121C2212yes—
290#2297C2212yes—
291#2295C2211yescharacteristic
292#2293C2212yes—
293#2293C2212yes—
294#2290C2212yes—
295#2285C2211yescharacteristic
296C2×#384C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302#553—48no—
303#552—48no—
304#550—44no—
305#550—44no—
306#547—48no—
307#533—44no—
308#533—44no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×#127C2311yescharacteristic
316C2×#127C2311yescharacteristic
317C2×#127C2312yes—
318C2×#127C2312yes—
319#529—44no—
320C2×#126C2314yes—
321C2×#126C2312yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2311yescharacteristic
327C2×#125C2312yes—
328C2×#125C2312yes—
329C2×#125C2314yes—
330C2×#124C2312yes—
331C2×#124C2311yescharacteristic
332C2×#124C2314yes—
333C2×#124C2312yes—
334C2×#124C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2312yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2314yes—
355C2×#121C2312yes—
356C2×#121C2311yescharacteristic
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2311yescharacteristic
363C2×#121C2311yescharacteristic
364C2×#121C2312yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2314yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2314yes—
372C2×#121C2314yes—
373C4×#41—44no—
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2312yes—
403C2×C4×D4C2314yes—
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2311yescharacteristic
407C2×#117C2312yes—
408C2×#117C2314yes—
409C2×#117C2312yes—
410C2×#117C2312yes—
411C2×#117C2312yes—
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2314yes—
415C22×C4⋊C4C2312yes—
416C22×C4⋊C4C2312yes—
417C22×C42C2311yescharacteristic
418C22×C42C2311yescharacteristic
419C22×C42C2312yes—
420#401C2314yes—
421#401C2314yes—
422#401C2314yes—
423#400C2314yes—
424#400C2312yes—
425#400C2314yes—
426#400C2314yes—
427#400C2312yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2312yes—
440#399C2312yes—
441#399C2312yes—
442#399C2312yes—
443#399C2312yes—
444#399C2312yes—
445#398C2312yes—
446#398C2312yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2312yes—
460#398C2312yes—
461#398C2312yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2312yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2312yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2312yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2312yes—
491#396C2312yes—
492#396C2312yes—
493#396C2312yes—
494#395C2314yes—
495#395C2312yes—
496#395C2312yes—
497#394C2314yes—
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#394C2312yes—
516#394C2312yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#393C2314yes—
528#393C2314yes—
529#393C2314yes—
530#393C2312yes—
531#393C2312yes—
532#392C2312yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2312yes—
542#392C2312yes—
543#392C2312yes—
544#392C2312yes—
545#392C2314yes—
546#391C2312yes—
547#391C2312yes—
548#391C2311yescharacteristic
549#391C2311yescharacteristic
550#391C2311yescharacteristic
551#391C2312yes—
552#391C2312yes—
553#391C2312yes—
554#391C2312yes—
555#391C2312yes—
556#391C2314yes—
557#391C2312yes—
558#391C2311yescharacteristic
559#391C2312yes—
560#391C2312yes—
561#391C2311yescharacteristic
562#391C2311yescharacteristic
563#390C2312yes—
564#390C2311yescharacteristic
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2311yescharacteristic
569#390C2312yes—
570#390C2311yescharacteristic
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2314yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2314yes—
583#390C2314yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2314yes—
592#390C2314yes—
593#390C2314yes—
594#390C2312yes—
595#390C2312yes—
596#390C2311yescharacteristic
597#390C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2314yes—
609#389C2314yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2311yescharacteristic
614#389C2311yescharacteristic
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2314yes—
619#389C2314yes—
620#389C2312yes—
621#389C2314yes—
622#389C2314yes—
623#389C2314yes—
624#389C2312yes—
625#389C2314yes—
626#389C2311yescharacteristic
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2314yes—
633#389C2311yescharacteristic
634#389C2312yes—
635#389C2311yescharacteristic
636#389C2311yescharacteristic
637#389C2312yes—
638#389C2312yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2312yes—
654#388C2314yes—
655#388C2314yes—
656#388C2312yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2312yes—
668#388C2312yes—
669#388C2312yes—
670#388C2312yes—
671#388C2312yes—
672#388C2312yes—
673#388C2312yes—
674#388C2312yes—
675#388C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2312yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2312yes—
689#387C2312yes—
690#387C2312yes—
691#387C2312yes—
692#387C2312yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2312yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2312yes—
711#386C2312yes—
712#386C2312yes—
713#386C2314yes—
714#386C2312yes—
715#386C2314yes—
716#386C2312yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2312yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2312yes—
738#385C2312yes—
739#385C2312yes—
740#384C2311yescharacteristic
741#384C2311yescharacteristic
742#384C2311yescharacteristic
743#384C2312yes—
744#384C2312yes—
745#384C2312yes—
746#384C2312yes—
747#384C2311yescharacteristic
748#384C2311yescharacteristic
749#384C2312yes—
750#383C2314yes—
751#383C2314yes—
752#382C2312yes—
753#382C2312yes—
754#382C2312yes—
755#382C2312yes—
756#381C2314yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2314yes—
762#380C2314yes—
763#380C2314yes—
764#380C2314yes—
765#380C2314yes—
766#380C2314yes—
767#380C2314yes—
768#380C2314yes—
769#380C2311yescharacteristic
770#380C2311yescharacteristic
771#380C2312yes—
772#380C2314yes—
773#380C2311yescharacteristic
774#380C2312yes—
775#380C2314yes—
776#380C2311yescharacteristic
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2314yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816#376C2312yes—
817C43C2311yescharacteristic
818C43C2312yes—
819C2×#41—24no—
820C2×#41—42no—
821C2×#41—42no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C22×Q8C2411yescharacteristic
829C22×Q8C2411yescharacteristic
830C22×Q8C2411yescharacteristic
831C22×Q8C2411yescharacteristic
832C22×Q8C2412yes—
833C22×Q8C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2414yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2411yescharacteristic
863C23×C4C2414yes—
864C23×C4C2414yes—
865C23×C4C2414yes—
866C23×C4C2414yes—
867C4⋊Q8—24no—
868C4⋊Q8—42no—
869C4⋊Q8—42no—
870C4⋊Q8—42no—
871C4⋊Q8—42no—
872C4⋊Q8—44no—
873#127—24no—
874#127—42no—
875#127—44no—
876#127—44no—
877#126—44no—
878#126—48no—
879#126—48no—
880#126—84no—
881#125—28no—
882#125—44no—
883#125—42no—
884#125—44no—
885#125—44no—
886#125—48no—
887#124—44no—
888#124—44no—
889#124—42no—
890#124—48no—
891#124—84no—
892#123—48no—
893#123—48no—
894#123—48no—
895#123—44no—
896#123—48no—
897#123—48no—
898C22⋊Q8—44no—
899C22⋊Q8—44no—
900C22⋊Q8—42no—
901C22⋊Q8—42no—
902C22⋊Q8—42no—
903C22⋊Q8—42no—
904C22⋊Q8—42no—
905C22⋊Q8—42no—
906C22⋊Q8—42no—
907C22⋊Q8—44no—
908C22⋊Q8—44no—
909C22⋊Q8—44no—
910C22⋊Q8—44no—
911C22⋊Q8—84no—
912#121—24no—
913#121—28no—
914#121—44no—
915#121—44no—
916#121—48no—
917#121—48no—
918#121—48no—
919#121—44no—
920#121—42no—
921#121—42no—
922#121—48no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—44no—
927#121—84no—
928#121—84no—
929#121—82no—
930C4×Q8—24no—
931C4×Q8—24no—
932C4×Q8—24no—
933C4×Q8—24no—
934C4×Q8—24no—
935C4×Q8—44no—
936C4×Q8—44no—
937C4×Q8—42no—
938C4×Q8—42no—
939C4×D4—24no—
940C4×D4—24no—
941C4×D4—24no—
942C4×D4—28no—
943C4×D4—28no—
944C4×D4—24no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—42no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—42no—
956C4×D4—44no—
957C4×D4—48no—
958C4×D4—82no—
959C4×D4—84no—
960#117—44no—
961#117—44no—
962#117—44no—
963#117—44no—
964#117—48no—
965#117—42no—
966#117—44no—
967#117—44no—
968C2×C4⋊C4—44no—
969C2×C4⋊C4—48no—
970C2×C4⋊C4—44no—
971C2×C4⋊C4—44no—
972C2×C4⋊C4—82no—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2411yescharacteristic
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2411yescharacteristic
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C42—24no—
1111C2×C42—24no—
1112C2×C42—44no—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2412yes—
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2412yes—
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2414yes—
1130C2×C42C2412yes—
1131C2×C42C2414yes—
1132C2×C42C2411yescharacteristic
1133C2×C42C2412yes—
1134C2×C42C2414yes—
1135C2×C42C2411yescharacteristic
1136C2×C42C2412yes—
1137C2×C42C2414yes—
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2411yescharacteristic
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2412yes—
1151#95C2411yescharacteristic
1152#95C2411yescharacteristic
1153#95C2411yescharacteristic
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200C24C2512yes—
1201C24C2512yes—
1202C24C2511yescharacteristic
1203C24C2514yes—
1204C24C2511yescharacteristic
1205#41—416no—
1206#41—816no—
1207#41—816no—
1208C2×Q8—22no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—22no—
1213C2×Q8—22no—
1214C2×Q8—22no—
1215C2×Q8—22no—
1216C2×Q8—22no—
1217C2×Q8—22no—
1218C2×Q8—22no—
1219C2×Q8—22no—
1220C2×Q8—24no—
1221C2×Q8—42no—
1222C2×Q8—42no—
1223C2×Q8—42no—
1224C2×Q8—42no—
1225C2×Q8—42no—
1226C2×D4—22no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—28no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—24no—
1233C2×D4—22no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—22no—
1239C2×D4—24no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—24no—
1243C2×D4—22no—
1244C2×D4—24no—
1245C2×D4—42no—
1246C2×D4—41no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—44no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—44no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—24no—
1287C22×C4—22no—
1288C22×C4—24no—
1289C22×C4—22no—
1290C22×C4—24no—
1291C22×C4—24no—
1292C22×C4—22no—
1293C22×C4—24no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—28no—
1302C22×C4—24no—
1303C22×C4—42no—
1304C22×C4—41no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—41no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—41no—
1318C22×C4—42no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C42−1+414yes—
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2514yes—
1330C22×C4C2512yes—
1331C22×C4C2511yescharacteristic
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2514yes—
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2514yes—
1344C22×C4C2512yes—
1345C22×C4C2511yescharacteristic
1346C22×C4C2512yes—
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C22×C4C2511yescharacteristic
1351C22×C4C2511yescharacteristic
1352C22×C4C2511yescharacteristic
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C4⋊C4—22no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—24no—
1364C4⋊C4—28no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—28no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—24no—
1373C4⋊C4—22no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—24no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—44no—
1393C4⋊C4—42no—
1394C4⋊C4—44no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—44no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—44no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C22⋊C4—22no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—22no—
1431C22⋊C4—24no—
1432C22⋊C4—28no—
1433C22⋊C4—22no—
1434C22⋊C4—24no—
1435C22⋊C4—22no—
1436C22⋊C4—24no—
1437C22⋊C4—28no—
1438C22⋊C4—22no—
1439C22⋊C4—28no—
1440C22⋊C4—24no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—44no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—44no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—41no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—42no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—42no—
1491C22⋊C4—44no—
1492C42—22no—
1493C42—22no—
1494C42—22no—
1495C42—22no—
1496C42—22no—
1497C42—22no—
1498C42—24no—
1499C42—24no—
1500C42—24no—
1501C42—24no—
1502C42—24no—
1503C42—22no—
1504C42—22no—
1505C42—24no—
1506C42—22no—
1507C42—24no—
1508C42—42no—
1509C42—42no—
1510C42—44no—
1511C42—44no—
1512C42—41no—
1513C42—41no—
1514C42—44no—
1515C42—42no—
1516C42—44no—
1517C42—42no—
1518C42—42no—
1519C42H(5,𝔽2)14yes—
1520C42H(5,𝔽2)14yes—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—22no—
1528C23—22no—
1529C23—21no—
1530C23—22no—
1531C23—24no—
1532C23—22no—
1533C23—21no—
1534C23—24no—
1535C23—21no—
1536C23—24no—
1537C23—22no—
1538C23—22no—
1539C23—22no—
1540C23—24no—
1541C23—21no—
1542C23—21no—
1543C23—24no—
1544C23—22no—
1545C23—22no—
1546C23—22no—
1547C23—22no—
1548C23—24no—
1549C23—22no—
1550C23—21no—
1551C23—22no—
1552C23—24no—
1553C23—22no—
1554C23—21no—
1555C23C2×2−1+412yes—
1556C23C2611yescharacteristic
1557Q8—44no—
1558Q8—44no—
1559Q8—44no—
1560Q8—44no—
1561Q8—84no—
1562Q8—84no—
1563D4—44no—
1564D4—48no—
1565D4—48no—
1566D4—44no—
1567D4—48no—
1568D4—44no—
1569D4—48no—
1570D4—84no—
1571D4—84no—
1572D4—88no—
1573D4—84no—
1574D4—84no—
1575D4—84no—
1576D4—88no—
1577D4—88no—
1578D4—164no—
1579D4—164no—
1580D4—164no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—28no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—24no—
1610C2×C4—24no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—24no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—24no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—24no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—24no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—24no—
1647C2×C4—21no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—24no—
1657C2×C4—21no—
1658C2×C4—24no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—44no—
1662C2×C4—48no—
1663C2×C4—44no—
1664C2×C4—44no—
1665C2×C4—44no—
1666C2×C4—48no—
1667C2×C4—48no—
1668C2×C4—88no—
1669C2×C4—84no—
1670C2×C4—82no—
1671C2×C4—88no—
1672C2×C4—88no—
1673C2×C4—88no—
1674C2×C4—164no—
1675C2×C4C2×H(5,𝔽2)12yes—
1676C2×C4C2×H(5,𝔽2)12yes—
1677C2×C4C2×H(5,𝔽2)12yes—
1678C2×C4C2×H(5,𝔽2)12yes—
1679C2×C4C2×H(5,𝔽2)12yes—
1680C2×C4C2×H(5,𝔽2)12yes—
1681C2×C4C2×2−1+412yes—
1682C2×C4C2×2−1+412yes—
1683C2×C4#58512yes—
1684C2×C4#58512yes—
1685C2×C4#58512yes—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—42no—
1694C22—41no—
1695C22—42no—
1696C22—44no—
1697C22—42no—
1698C22—42no—
1699C22—41no—
1700C22—44no—
1701C22—41no—
1702C22—42no—
1703C22—42no—
1704C22—44no—
1705C22—41no—
1706C22—44no—
1707C22—42no—
1708C22—42no—
1709C22—42no—
1710C22—41no—
1711C22—44no—
1712C22—42no—
1713C22—42no—
1714C22—44no—
1715C22—42no—
1716C22—41no—
1717C22—41no—
1718C22—42no—
1719C22—44no—
1720C22—42no—
1721C22C22×H(5,𝔽2)11yescharacteristic
1722C22C22×H(5,𝔽2)11yescharacteristic
1723C22C22×2−1+411yescharacteristic
1724C22C2×#58511yescharacteristic
1725C22C2×#58511yescharacteristic
1726C22C2×#58511yescharacteristic
1727C22H(7,𝔽2)11yescharacteristic
1728C4—22no—
1729C4—22no—
1730C4—22no—
1731C4—22no—
1732C4—22no—
1733C4—41no—
1734C4—42no—
1735C4—41no—
1736C4—41no—
1737C4—42no—
1738C4—42no—
1739C4—42no—
1740C4—42no—
1741C4—42no—
1742C4—42no—
1743C4—42no—
1744C4—41no—
1745C4—44no—
1746C4—41no—
1747C4—42no—
1748C4—42no—
1749C4—44no—
1750C4—44no—
1751C4—42no—
1752C4—41no—
1753C4—42no—
1754C4—42no—
1755C4—42no—
1756C4#354114yes—
1757C4#354614yes—
1758C2—42no—
1759C2—82no—
1760C2—81no—
1761C2—82no—
1762C2—84no—
1763C2C2×#354111yescharacteristic
1764C2C2×#354611yescharacteristic
1765C2#6283511yescharacteristic
1766C2#6292611yescharacteristic
1767C2#6295511yescharacteristic
1768C2#6295711yescharacteristic
1769C2#6303111yescharacteristic
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. #59815C2semidirect
2. #59305C2semidirect
3. #59243C2semidirect
4. #58871C2semidirect
5. #57279C2semidirect
6. #55160C2semidirect
7. #53152C2semidirect
8. #52973C2semidirect
9. #48281C2semidirect
10. #46340C2semidirect
11. #45515C2semidirect
12. #45358C2semidirect
13. #44980C2semidirect
14. #42679C2semidirect
15. #42572C2semidirect
16. #42518C2semidirect
17. #42505C2semidirect
18. #40021C2semidirect
19. #40006C2semidirect
20. #39762C2semidirect
21. #39725C2semidirect
22. #39725C2semidirect
23. #38909C2semidirect
24. #38214C2semidirect
25. #38088C2semidirect
26. #37622C2semidirect
27. #37356C2semidirect
28. #37340C2semidirect
29. #36410C2semidirect
30. #36270C2semidirect
31. #36182C2semidirect
32. #35280C2semidirect
33. #35186C2semidirect
34. #34929C2semidirect
35. #34727C2semidirect

Maximal subgroups

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

subgroupindex
#598152
#593052
#592432
#588712
#572792
#551602
#531522
#529732
#482812
#463402
#455152
#453582
#449802
#426792
#425722
#425182
#425052
#400212
#400062
#397622
#397252
#389092
#382142
#380882
#376222
#373562
#373402
#364102
#362702
#361822
#352802
#351862
#349292
#347272