Finite Group Databasebeta

← #8461320

Subgroups — #8461320

Order 512.

4928 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#59426C211yesmaximal, characteristic, complemented
2#59136C211yesmaximal, characteristic, complemented
3#59070C211yesmaximal, characteristic, complemented
4#58214C214yesmaximal, complemented
5#57986C214yesmaximal, complemented
6#55352C214yesmaximal, complemented
7#52984C212yesmaximal, complemented
8#52956C212yesmaximal, complemented
9#47837C214yesmaximal, complemented
10#46075C212yesmaximal, complemented
11#45650C212yesmaximal, complemented
12#45257C212yesmaximal, complemented
13#45131C212yesmaximal, complemented
14#42557C212yesmaximal, complemented
15#42518C212yesmaximal, complemented
16#42472C212yesmaximal, complemented
17#42447C212yesmaximal, complemented
18#39735C211yesmaximal, characteristic, complemented
19#39560C212yesmaximal, complemented
20#39552C212yesmaximal, complemented
21#39480C211yesmaximal, characteristic, complemented
22#39470C211yesmaximal, characteristic, complemented
23#39400C212yesmaximal, complemented
24#39397C212yesmaximal, complemented
25#39201C211yesmaximal, characteristic, complemented
26#37639C211yesmaximal, characteristic, complemented
27#37356C212yesmaximal, complemented
28#37325C212yesmaximal, complemented
29#36496C211yesmaximal, characteristic, complemented
30#36493C211yesmaximal, characteristic, complemented
31#36122C211yesmaximal, characteristic, complemented
32#35279C211yesmaximal, characteristic, complemented
33#35185C211yesmaximal, characteristic, complemented
34#34941C211yesmaximal, characteristic, complemented
35#34715C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#548C2212yes—
39C2×#539C2214yes—
40C2×#532C2211yescharacteristic
41C2×#532C2211yescharacteristic
42C22×C4⋊Q8C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44#2864C2212yes—
45#2861C2212yes—
46#2860C2212yes—
47#2858C2211yescharacteristic
48#2857C2211yescharacteristic
49#2857C2212yes—
50#2857C2212yes—
51#2856C2211yescharacteristic
52#2850C2212yes—
53#2838C2214yes—
54#2837C2214yes—
55#2832C2214yes—
56#2829C2214yes—
57#2826C2214yes—
58#2825C2214yes—
59#2824C2214yes—
60#2819C2214yes—
61#2804C2214yes—
62#2803C2214yes—
63#2800C2214yes—
64#2797C2214yes—
65#2796C2214yes—
66#2788C2214yes—
67#2788C2214yes—
68#2787C2214yes—
69#2784C2214yes—
70#2779C2214yes—
71#2778C2214yes—
72#2778C2214yes—
73#2778C2214yes—
74#2775C2214yes—
75#2762C2214yes—
76#2759C2214yes—
77#2759C2214yes—
78#2759C2214yes—
79#2756C2214yes—
80#2756C2214yes—
81#2756C2214yes—
82#2753C2214yes—
83#2750C2214yes—
84#2738C2214yes—
85#2730C2214yes—
86#2730C2214yes—
87#2729C2214yes—
88#2717C2214yes—
89#2714C2214yes—
90#2714C2214yes—
91#2712C2214yes—
92#2711C2214yes—
93#2710C2214yes—
94#2710C2214yes—
95#2710C2214yes—
96#2708C2214yes—
97#2705C2214yes—
98#2703C2214yes—
99#2703C2214yes—
100#2700C2214yes—
101#2700C2214yes—
102#2696C2214yes—
103#2695C2214yes—
104#2690C2214yes—
105#2690C2214yes—
106#2687C2214yes—
107#2686C2214yes—
108#2681C2214yes—
109#2681C2214yes—
110#2651C2214yes—
111#2650C2214yes—
112#2638C2214yes—
113#2636C2214yes—
114#2635C2214yes—
115#2631C2214yes—
116#2628C2214yes—
117#2625C2212yes—
118#2624C2212yes—
119#2619C2212yes—
120#2619C2212yes—
121#2619C2212yes—
122#2616C2212yes—
123#2615C2214yes—
124#2615C2212yes—
125#2615C2212yes—
126#2602C2214yes—
127#2600C2214yes—
128#2592C2212yes—
129#2589C2214yes—
130#2580C2212yes—
131#2579C2214yes—
132#2574C2212yes—
133#2574C2212yes—
134#2571C2211yescharacteristic
135#2570C2212yes—
136#2568C2212yes—
137#2567C2211yescharacteristic
138#2567C2211yescharacteristic
139#2567C2211yescharacteristic
140#2567C2211yescharacteristic
141#2566C2212yes—
142#2563C2211yescharacteristic
143#2563C2212yes—
144#2563C2211yescharacteristic
145#2563C2211yescharacteristic
146#2563C2211yescharacteristic
147#2552C2211yescharacteristic
148#2550C2212yes—
149#2550C2212yes—
150#2548C2212yes—
151#2545C2212yes—
152#2544C2212yes—
153#2542C2212yes—
154#2541C2212yes—
155#2541C2211yescharacteristic
156#2541C2211yescharacteristic
157#2540C2212yes—
158#2538C2211yescharacteristic
159#2538C2211yescharacteristic
160#2537C2212yes—
161#2537C2212yes—
162#2535C2212yes—
163#2535C2212yes—
164#2514C2212yes—
165#2514C2212yes—
166#2513C2212yes—
167#2513C2212yes—
168#2513C2212yes—
169#2512C2212yes—
170#2509C2212yes—
171#2508C2212yes—
172#2506C2212yes—
173#2506C2212yes—
174#2500C2212yes—
175#2497C2211yescharacteristic
176#2497C2211yescharacteristic
177#2496C2212yes—
178#2496C2212yes—
179#2495C2212yes—
180#2494C2212yes—
181#2494C2212yes—
182#2492C2212yes—
183#2491C2212yes—
184#2491C2212yes—
185#2491C2212yes—
186#2490C2212yes—
187#2487C2212yes—
188#2487C2212yes—
189#2486C2212yes—
190#2476C2212yes—
191#2474C2212yes—
192#2473C2214yes—
193#2471C2214yes—
194#2469C2214yes—
195#2469C2214yes—
196#2466C2214yes—
197#2463C2214yes—
198#2461C2214yes—
199#2461C2214yes—
200#2461C2214yes—
201#2459C2212yes—
202#2456C2214yes—
203#2456C2214yes—
204#2456C2214yes—
205#2456C2212yes—
206#2454C2214yes—
207#2454C2212yes—
208#2452C2212yes—
209#2452C2212yes—
210#2452C2212yes—
211#2451C2211yescharacteristic
212#2448C2212yes—
213#2447C2212yes—
214#2447C2212yes—
215#2445C2212yes—
216#2445C2212yes—
217#2445C2212yes—
218#2445C2211yescharacteristic
219#2443C2214yes—
220#2442C2212yes—
221#2440C2212yes—
222#2439C2212yes—
223#2439C2211yescharacteristic
224#2436C2212yes—
225#2432C2212yes—
226#2431C2211yescharacteristic
227#2431C2212yes—
228#2427C2212yes—
229#2427C2212yes—
230#2426C2212yes—
231#2426C2212yes—
232#2426C2211yescharacteristic
233#2423C2211yescharacteristic
234#2423C2211yescharacteristic
235#2422C2212yes—
236#2422C2212yes—
237#2422C2212yes—
238#2422C2212yes—
239#2421C2212yes—
240#2420C2212yes—
241#2420C2211yescharacteristic
242#2417C2212yes—
243#2416C2212yes—
244#2416C2212yes—
245#2415C2212yes—
246#2414C2212yes—
247#2414C2211yescharacteristic
248#2409C2214yes—
249#2409C2214yes—
250#2407C2211yescharacteristic
251#2406C2214yes—
252#2396C2212yes—
253#2396C2212yes—
254#2392C2212yes—
255#2388C2212yes—
256#2378C2214yes—
257#2369C2211yescharacteristic
258#2366C2211yescharacteristic
259#2366C2212yes—
260#2363C2212yes—
261#2361C2212yes—
262#2361C2212yes—
263#2361C2212yes—
264#2361C2212yes—
265#2361C2212yes—
266#2355C2211yescharacteristic
267#2355C2212yes—
268#2354C2211yescharacteristic
269D4×C4⋊C4C2212yes—
270D4×C4⋊C4C2212yes—
271D4×C4⋊C4C2212yes—
272#2347C2212yes—
273#2324C2212yes—
274#2324C2212yes—
275#2323C2212yes—
276#2317C2212yes—
277#2314C2212yes—
278#2314C2212yes—
279#2311C2212yes—
280#2311C2212yes—
281C4×C4⋊Q8C2211yescharacteristic
282C4×C4⋊Q8C2211yescharacteristic
283C4×#127C2212yes—
284C4×#125C2212yes—
285C4×#124C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2211yescharacteristic
289C4×#123C2212yes—
290C4×#121C2211yescharacteristic
291C4×#121C2212yes—
292#2297C2212yes—
293#2293C2211yescharacteristic
294#2293C2212yes—
295#2285C2211yescharacteristic
296#2285C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×Q8C2312yes—
303#559—44no—
304#554—44no—
305#548—48no—
306#539—416no—
307#532—44no—
308#532—44no—
309C2×C4⋊Q8—44no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×#127C2311yescharacteristic
318C2×#127C2312yes—
319C2×#127C2312yes—
320C2×#127C2311yescharacteristic
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2314yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2311yescharacteristic
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2314yes—
333C2×#124C2312yes—
334C2×#124C2314yes—
335C2×#123C2312yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2314yes—
352C2×#121C2312yes—
353C2×#121C2311yescharacteristic
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2311yescharacteristic
364C2×#121C2311yescharacteristic
365C2×#121C2312yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C4×#41—44no—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2314yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2314yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2314yes—
398C2×#117C2312yes—
399C2×#117C2312yes—
400C2×#117C2312yes—
401C2×#117C2312yes—
402C2×#117C2311yescharacteristic
403C2×#117C2312yes—
404C22×C4⋊C4C2312yes—
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2314yes—
407C22×C4⋊C4C2312yes—
408C22×C42C2311yescharacteristic
409C22×C42C2311yescharacteristic
410C22×C42C2312yes—
411#401C2314yes—
412#401C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2312yes—
421#400C2314yes—
422#400C2314yes—
423#400C2312yes—
424#400C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2312yes—
430#399C2312yes—
431#398C2314yes—
432#398C2314yes—
433#398C2312yes—
434#398C2312yes—
435#398C2314yes—
436#398C2312yes—
437#398C2314yes—
438#398C2314yes—
439#398C2312yes—
440#398C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2312yes—
462#396C2312yes—
463#396C2314yes—
464#396C2312yes—
465#396C2312yes—
466#396C2312yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2312yes—
471#396C2314yes—
472#395C2312yes—
473#395C2312yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2312yes—
478#395C2314yes—
479#395C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2312yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2312yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2312yes—
505#394C2314yes—
506#394C2312yes—
507#394C2312yes—
508#393C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2312yes—
513#393C2312yes—
514#393C2314yes—
515#393C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2314yes—
519#393C2312yes—
520#393C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2312yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2312yes—
535#392C2312yes—
536#392C2312yes—
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2312yes—
541#391C2314yes—
542#391C2312yes—
543#391C2311yescharacteristic
544#391C2311yescharacteristic
545#391C2314yes—
546#391C2314yes—
547#391C2312yes—
548#391C2312yes—
549#391C2312yes—
550#391C2311yescharacteristic
551#391C2314yes—
552#391C2314yes—
553#391C2314yes—
554#391C2311yescharacteristic
555#391C2312yes—
556#390C2311yescharacteristic
557#390C2312yes—
558#390C2314yes—
559#390C2314yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2314yes—
568#390C2314yes—
569#390C2312yes—
570#390C2314yes—
571#390C2314yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2311yescharacteristic
579#390C2312yes—
580#390C2314yes—
581#390C2312yes—
582#390C2312yes—
583#390C2311yescharacteristic
584#390C2311yescharacteristic
585#390C2312yes—
586#390C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2311yescharacteristic
590#389C2311yescharacteristic
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2314yes—
605#389C2314yes—
606#389C2314yes—
607#389C2311yescharacteristic
608#389C2312yes—
609#389C2312yes—
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2314yes—
613#389C2311yescharacteristic
614#389C2312yes—
615#389C2312yes—
616#389C2314yes—
617#389C2311yescharacteristic
618#389C2312yes—
619#389C2311yescharacteristic
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2312yes—
628#388C2312yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2312yes—
650#388C2314yes—
651#388C2314yes—
652#388C2312yes—
653#388C2314yes—
654#388C2312yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2312yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2312yes—
677#387C2314yes—
678#387C2312yes—
679#387C2312yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2312yes—
699#386C2312yes—
700#386C2312yes—
701#386C2312yes—
702#386C2314yes—
703#386C2312yes—
704#386C2312yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2312yes—
712#385C2312yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2312yes—
724#385C2312yes—
725#384C2312yes—
726#384C2311yescharacteristic
727#384C2311yescharacteristic
728#384C2312yes—
729#384C2311yescharacteristic
730#384C2312yes—
731#384C2311yescharacteristic
732#384C2311yescharacteristic
733#384C2311yescharacteristic
734#383C2314yes—
735#383C2314yes—
736#382C2312yes—
737#382C2312yes—
738#382C2312yes—
739#382C2312yes—
740#382C2312yes—
741#382C2311yescharacteristic
742#382C2312yes—
743#382C2312yes—
744#382C2312yes—
745#382C2312yes—
746#381C2314yes—
747#381C2314yes—
748#381C2312yes—
749#380C2311yescharacteristic
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2314yes—
754#380C2312yes—
755#380C2312yes—
756#380C2311yescharacteristic
757#380C2312yes—
758#380C2311yescharacteristic
759#380C2314yes—
760#380C2311yescharacteristic
761#380C2312yes—
762#380C2312yes—
763#380C2314yes—
764#380C2314yes—
765#380C2311yescharacteristic
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2311yescharacteristic
770#380C2314yes—
771#380C2314yes—
772#380C2312yes—
773#380C2311yescharacteristic
774#380C2314yes—
775#380C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2314yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816C43C2312yes—
817C43C2311yescharacteristic
818C2×#41—24no—
819C2×#41—44no—
820C2×#41—44no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—42no—
824C2×#41—42no—
825C2×#41—44no—
826C2×#41—82no—
827C22×Q8—44no—
828C22×Q8—44no—
829C22×Q8—82no—
830C22×Q8C2411yescharacteristic
831C22×Q8C2411yescharacteristic
832C22×Q8C2412yes—
833C22×Q8C2414yes—
834C22×Q8C2412yes—
835C22×Q8C2412yes—
836C22×Q8C2412yes—
837C22×D4C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2411yescharacteristic
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2414yes—
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2414yes—
867C23×C4C2414yes—
868C23×C4C2414yes—
869C23×C4C2414yes—
870C4⋊Q8—24no—
871C4⋊Q8—24no—
872C4⋊Q8—44no—
873C4⋊Q8—44no—
874C4⋊Q8—42no—
875C4⋊Q8—42no—
876C4⋊Q8—44no—
877#127—24no—
878#127—44no—
879#127—44no—
880#127—42no—
881#126—48no—
882#126—48no—
883#125—28no—
884#125—44no—
885#125—48no—
886#124—44no—
887#124—44no—
888#124—42no—
889#124—44no—
890#124—44no—
891#124—44no—
892#124—48no—
893#124—84no—
894#124—82no—
895#123—28no—
896#123—48no—
897#123—48no—
898#123—48no—
899#123—48no—
900#123—84no—
901C22⋊Q8—216no—
902C22⋊Q8—48no—
903C22⋊Q8—48no—
904C22⋊Q8—44no—
905C22⋊Q8—44no—
906C22⋊Q8—42no—
907C22⋊Q8—42no—
908C22⋊Q8—42no—
909C22⋊Q8—48no—
910C22⋊Q8—44no—
911C22⋊Q8—84no—
912#121—24no—
913#121—28no—
914#121—44no—
915#121—44no—
916#121—48no—
917#121—44no—
918#121—44no—
919#121—44no—
920#121—44no—
921#121—44no—
922#121—44no—
923#121—44no—
924#121—42no—
925#121—42no—
926#121—48no—
927#121—84no—
928C4×Q8—24no—
929C4×Q8—24no—
930C4×Q8—44no—
931C4×Q8—44no—
932C4×Q8—42no—
933C4×Q8—42no—
934C4×Q8—42no—
935C4×D4—24no—
936C4×D4—24no—
937C4×D4—24no—
938C4×D4—24no—
939C4×D4—48no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—42no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—42no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—48no—
954C4×D4—48no—
955C4×D4—84no—
956C4×D4—84no—
957#117—44no—
958#117—44no—
959#117—44no—
960#117—44no—
961#117—44no—
962#117—42no—
963C2×C4⋊C4—44no—
964C2×C4⋊C4—44no—
965C2×C4⋊C4—48no—
966C2×C4⋊C4—44no—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2411yescharacteristic
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C42—24no—
1098C2×C42—24no—
1099C2×C42—44no—
1100C2×C42C2411yescharacteristic
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2412yes—
1119C2×C42C2414yes—
1120C2×C42C2412yes—
1121C2×C42C2414yes—
1122C2×C42C2412yes—
1123C2×C42C2414yes—
1124C2×C42C2414yes—
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129#95C2412yes—
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2411yescharacteristic
1135#95C2411yescharacteristic
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193C24C2512yes—
1194C24C2514yes—
1195C24C2512yes—
1196C24C2511yescharacteristic
1197C24C2511yescharacteristic
1198#41—416no—
1199#41—816no—
1200#41—816no—
1201C2×Q8—22no—
1202C2×Q8—22no—
1203C2×Q8—24no—
1204C2×Q8—28no—
1205C2×Q8—24no—
1206C2×Q8—22no—
1207C2×Q8—22no—
1208C2×Q8—22no—
1209C2×Q8—22no—
1210C2×Q8—42no—
1211C2×Q8—42no—
1212C2×Q8—42no—
1213C2×Q8—42no—
1214C2×Q8—44no—
1215C2×Q8—42no—
1216C2×Q8—42no—
1217C2×Q8—42no—
1218C2×Q8—44no—
1219C2×Q8—42no—
1220C2×Q8—42no—
1221C2×Q8—42no—
1222C2×Q8—816no—
1223C2×D4—22no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—28no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—22no—
1235C2×D4—24no—
1236C2×D4—22no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—42no—
1243C2×D4—41no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—42no—
1251C2×D4—44no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—44no—
1255C2×D4—42no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—42no—
1262C2×D4—44no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—24no—
1290C22×C4—22no—
1291C22×C4—24no—
1292C22×C4—24no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—24no—
1296C22×C4—22no—
1297C22×C4—24no—
1298C22×C4—22no—
1299C22×C4—28no—
1300C22×C4—24no—
1301C22×C4—42no—
1302C22×C4—41no—
1303C22×C4—42no—
1304C22×C4—41no—
1305C22×C4—42no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—42no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C42−1+414yes—
1322C22×C4C2512yes—
1323C22×C4C2511yescharacteristic
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C22×C4C2514yes—
1329C22×C4C2512yes—
1330C22×C4C2511yescharacteristic
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2514yes—
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2511yescharacteristic
1342C22×C4C2514yes—
1343C22×C4C2511yescharacteristic
1344C22×C4C2512yes—
1345C22×C4C2511yescharacteristic
1346C22×C4C2511yescharacteristic
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C22×C4C2511yescharacteristic
1351C22×C4C2511yescharacteristic
1352C4⋊C4—22no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—24no—
1362C4⋊C4—22no—
1363C4⋊C4—24no—
1364C4⋊C4—28no—
1365C4⋊C4—24no—
1366C4⋊C4—28no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—24no—
1373C4⋊C4—22no—
1374C4⋊C4—24no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—41no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—44no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—42no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—42no—
1416C4⋊C4H(5,𝔽2)14yes—
1417C22⋊C4—22no—
1418C22⋊C4—24no—
1419C22⋊C4—22no—
1420C22⋊C4—24no—
1421C22⋊C4—22no—
1422C22⋊C4—24no—
1423C22⋊C4—28no—
1424C22⋊C4—28no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—22no—
1428C22⋊C4—24no—
1429C22⋊C4—28no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—44no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—44no—
1482C42—22no—
1483C42—22no—
1484C42—22no—
1485C42—22no—
1486C42—22no—
1487C42—22no—
1488C42—24no—
1489C42—22no—
1490C42—24no—
1491C42—24no—
1492C42—22no—
1493C42—22no—
1494C42—24no—
1495C42—24no—
1496C42—24no—
1497C42—24no—
1498C42—22no—
1499C42—22no—
1500C42—42no—
1501C42—42no—
1502C42—44no—
1503C42—44no—
1504C42—44no—
1505C42—42no—
1506C42—44no—
1507C42—42no—
1508C42—42no—
1509C42—41no—
1510C42H(5,𝔽2)14yes—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—22no—
1518C23—24no—
1519C23—22no—
1520C23—21no—
1521C23—22no—
1522C23—22no—
1523C23—24no—
1524C23—21no—
1525C23—21no—
1526C23—24no—
1527C23—22no—
1528C23—22no—
1529C23—21no—
1530C23—24no—
1531C23—24no—
1532C23—21no—
1533C23—22no—
1534C23—22no—
1535C23—22no—
1536C23—22no—
1537C23—21no—
1538C23—22no—
1539C23—24no—
1540C23—22no—
1541C23—22no—
1542C23—21no—
1543C23—24no—
1544C23—22no—
1545C23C2×2−1+412yes—
1546C23C2611yescharacteristic
1547Q8—48no—
1548Q8—44no—
1549Q8—44no—
1550Q8—84no—
1551Q8—88no—
1552Q8—84no—
1553Q8—84no—
1554D4—44no—
1555D4—48no—
1556D4—48no—
1557D4—44no—
1558D4—48no—
1559D4—44no—
1560D4—48no—
1561D4—84no—
1562D4—84no—
1563D4—88no—
1564D4—88no—
1565D4—88no—
1566D4—88no—
1567D4—84no—
1568D4—84no—
1569D4—84no—
1570D4—88no—
1571D4—164no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—28no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—24no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—24no—
1598C2×C4—22no—
1599C2×C4—24no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—24no—
1603C2×C4—24no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—24no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—24no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—24no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—24no—
1652C2×C4—44no—
1653C2×C4—44no—
1654C2×C4—48no—
1655C2×C4—44no—
1656C2×C4—44no—
1657C2×C4—48no—
1658C2×C4—48no—
1659C2×C4—44no—
1660C2×C4—84no—
1661C2×C4—88no—
1662C2×C4—88no—
1663C2×C4—88no—
1664C2×C4—164no—
1665C2×C4—164no—
1666C2×C4C2×H(5,𝔽2)12yes—
1667C2×C4C2×H(5,𝔽2)12yes—
1668C2×C4C2×H(5,𝔽2)12yes—
1669C2×C4C2×H(5,𝔽2)12yes—
1670C2×C4C2×H(5,𝔽2)12yes—
1671C2×C4C2×H(5,𝔽2)12yes—
1672C2×C4C2×2−1+412yes—
1673C2×C4C2×2−1+412yes—
1674C2×C4#58512yes—
1675C2×C4#58512yes—
1676C2×C4#58512yes—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—42no—
1685C22—41no—
1686C22—42no—
1687C22—44no—
1688C22—41no—
1689C22—42no—
1690C22—42no—
1691C22—44no—
1692C22—44no—
1693C22—42no—
1694C22—42no—
1695C22—41no—
1696C22—41no—
1697C22—44no—
1698C22—42no—
1699C22—42no—
1700C22—41no—
1701C22—44no—
1702C22—42no—
1703C22—42no—
1704C22—42no—
1705C22—41no—
1706C22—44no—
1707C22—42no—
1708C22—42no—
1709C22—44no—
1710C22—42no—
1711C22—41no—
1712C22C22×H(5,𝔽2)11yescharacteristic
1713C22C22×H(5,𝔽2)11yescharacteristic
1714C22C22×2−1+411yescharacteristic
1715C22C2×#58511yescharacteristic
1716C22C2×#58511yescharacteristic
1717C22C2×#58511yescharacteristic
1718C22H(7,𝔽2)11yescharacteristic
1719C4—22no—
1720C4—22no—
1721C4—22no—
1722C4—22no—
1723C4—22no—
1724C4—41no—
1725C4—42no—
1726C4—41no—
1727C4—41no—
1728C4—42no—
1729C4—42no—
1730C4—42no—
1731C4—41no—
1732C4—42no—
1733C4—42no—
1734C4—42no—
1735C4—42no—
1736C4—44no—
1737C4—44no—
1738C4—42no—
1739C4—44no—
1740C4—42no—
1741C4—41no—
1742C4—42no—
1743C4—42no—
1744C4—42no—
1745C4—42no—
1746C4—41no—
1747C4#354114yes—
1748C4#356214yes—
1749C2—42no—
1750C2—82no—
1751C2—81no—
1752C2—82no—
1753C2—84no—
1754C2C2×#354111yescharacteristic
1755C2C2×#356211yescharacteristic
1756C2#6283511yescharacteristic
1757C2#6291211yescharacteristic
1758C2#6292611yescharacteristic
1759C2#6293811yescharacteristic
1760C2#6302211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59426C2semidirect
2. #59136C2semidirect
3. #59070C2semidirect
4. #58214C2semidirect
5. #57986C2semidirect
6. #55352C2semidirect
7. #52984C2semidirect
8. #52956C2semidirect
9. #47837C2semidirect
10. #46075C2semidirect
11. #45650C2semidirect
12. #45257C2semidirect
13. #45131C2semidirect
14. #42557C2semidirect
15. #42518C2semidirect
16. #42472C2semidirect
17. #42447C2semidirect
18. #39735C2semidirect
19. #39560C2semidirect
20. #39552C2semidirect
21. #39480C2semidirect
22. #39470C2semidirect
23. #39400C2semidirect
24. #39397C2semidirect
25. #39201C2semidirect
26. #37639C2semidirect
27. #37356C2semidirect
28. #37325C2semidirect
29. #36496C2semidirect
30. #36493C2semidirect
31. #36122C2semidirect
32. #35279C2semidirect
33. #35185C2semidirect
34. #34941C2semidirect
35. #34715C2semidirect

Maximal subgroups

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

subgroupindex
#594262
#591362
#590702
#582142
#579862
#553522
#529842
#529562
#478372
#460752
#456502
#452572
#451312
#425572
#425182
#424722
#424472
#397352
#395602
#395522
#394802
#394702
#394002
#393972
#392012
#376392
#373562
#373252
#364962
#364932
#361222
#352792
#351852
#349412
#347152