Finite Group Databasebeta

← #8172732

Subgroups — #8172732

Order 512.

4790 conjugacy classes of subgroups.

The subgroup lattice has 1778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59229C211yesmaximal, characteristic, complemented
2#59227C211yesmaximal, characteristic, complemented
3#59134C211yesmaximal, characteristic, complemented
4#59125C211yesmaximal, characteristic, complemented
5#58929C214yesmaximal, complemented
6#56034C214yesmaximal, complemented
7#55942C214yesmaximal, complemented
8#53934C214yesmaximal, complemented
9#53098C212yesmaximal, complemented
10#53073C212yesmaximal, complemented
11#53070C212yesmaximal, complemented
12#53046C212yesmaximal, complemented
13#44981C212yesmaximal, complemented
14#44898C212yesmaximal, complemented
15#42995C212yesmaximal, complemented
16#42945C212yesmaximal, complemented
17#42796C212yesmaximal, complemented
18#42734C212yesmaximal, complemented
19#42637C212yesmaximal, complemented
20#42446C212yesmaximal, complemented
21#39471C211yesmaximal, characteristic, complemented
22#39468C211yesmaximal, characteristic, complemented
23#39159C211yesmaximal, characteristic, complemented
24#39156C211yesmaximal, characteristic, complemented
25#39146C211yesmaximal, characteristic, complemented
26#39043C212yesmaximal, complemented
27#38940C211yesmaximal, characteristic, complemented
28#38095C212yesmaximal, complemented
29#37499C212yesmaximal, complemented
30#37417C212yesmaximal, complemented
31#36504C211yesmaximal, characteristic, complemented
32#36404C211yesmaximal, characteristic, complemented
33#35316C211yesmaximal, characteristic, complemented
34#34909C211yesmaximal, characteristic, complemented
35#34609C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#555C2212yes—
38C2×#548C2212yes—
39C2×#547C2211yescharacteristic
40C2×#536C2212yes—
41C2×#532C2211yescharacteristic
42C22×C4⋊Q8C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2855C2212yes—
50#2850C2212yes—
51#2839C2214yes—
52#2837C2214yes—
53#2832C2214yes—
54#2831C2214yes—
55#2829C2214yes—
56#2828C2214yes—
57#2827C2214yes—
58#2827C2214yes—
59#2825C2214yes—
60#2824C2214yes—
61#2819C2214yes—
62#2813C2214yes—
63#2806C2214yes—
64#2800C2214yes—
65#2798C2214yes—
66#2797C2214yes—
67#2781C2214yes—
68#2780C2214yes—
69#2777C2214yes—
70#2775C2214yes—
71#2773C2214yes—
72#2770C2214yes—
73#2763C2214yes—
74#2762C2214yes—
75#2761C2214yes—
76#2761C2214yes—
77#2758C2214yes—
78#2756C2214yes—
79#2754C2214yes—
80#2754C2214yes—
81#2753C2214yes—
82#2749C2214yes—
83#2749C2214yes—
84#2746C2214yes—
85#2746C2214yes—
86#2746C2214yes—
87#2745C2214yes—
88#2745C2214yes—
89#2740C2214yes—
90#2738C2214yes—
91#2737C2214yes—
92#2733C2214yes—
93#2731C2214yes—
94#2730C2214yes—
95#2729C2214yes—
96#2716C2214yes—
97#2715C2214yes—
98#2712C2214yes—
99#2712C2214yes—
100#2710C2214yes—
101#2710C2214yes—
102#2710C2214yes—
103#2703C2214yes—
104#2703C2214yes—
105#2703C2214yes—
106#2691C2214yes—
107#2688C2214yes—
108#2688C2214yes—
109#2686C2214yes—
110#2674C2214yes—
111#2661C2214yes—
112#2653C2214yes—
113#2653C2214yes—
114#2652C2214yes—
115#2648C2214yes—
116#2645C2212yes—
117#2645C2212yes—
118#2644C2212yes—
119#2640C2212yes—
120#2640C2214yes—
121#2635C2212yes—
122#2635C2212yes—
123#2632C2212yes—
124#2631C2212yes—
125#2630C2214yes—
126#2628C2211yescharacteristic
127#2628C2211yescharacteristic
128#2628C2214yes—
129#2624C2211yescharacteristic
130#2624C2211yescharacteristic
131#2621C2212yes—
132#2621C2212yes—
133#2619C2211yescharacteristic
134#2619C2211yescharacteristic
135#2616C2212yes—
136#2615C2211yescharacteristic
137#2615C2212yes—
138#2615C2211yescharacteristic
139#2610C2214yes—
140#2605C2214yes—
141#2602C2214yes—
142#2600C2212yes—
143#2600C2212yes—
144#2599C2212yes—
145#2598C2212yes—
146#2595C2214yes—
147#2589C2214yes—
148#2581C2211yescharacteristic
149#2580C2211yescharacteristic
150#2575C2214yes—
151#2572C2214yes—
152#2571C2212yes—
153#2568C2211yescharacteristic
154#2568C2212yes—
155#2563C2212yes—
156#2562C2212yes—
157#2562C2212yes—
158#2552C2211yescharacteristic
159#2551C2211yescharacteristic
160#2547C2211yescharacteristic
161#2547C2211yescharacteristic
162#2547C2212yes—
163#2547C2212yes—
164#2547C2212yes—
165#2546C2212yes—
166#2546C2212yes—
167#2545C2212yes—
168#2544C2212yes—
169#2542C2211yescharacteristic
170#2540C2212yes—
171#2540C2212yes—
172#2538C2212yes—
173#2538C2211yescharacteristic
174#2537C2211yescharacteristic
175#2536C2212yes—
176#2536C2211yescharacteristic
177#2535C2211yescharacteristic
178#2529C2214yes—
179#2527C2214yes—
180#2514C2212yes—
181#2513C2212yes—
182#2500C2212yes—
183#2499C2212yes—
184#2497C2212yes—
185#2495C2212yes—
186#2495C2212yes—
187#2494C2212yes—
188#2492C2212yes—
189#2492C2212yes—
190#2492C2212yes—
191#2492C2212yes—
192#2492C2212yes—
193#2491C2212yes—
194#2491C2212yes—
195#2490C2212yes—
196#2489C2212yes—
197#2487C2212yes—
198#2487C2212yes—
199#2486C2212yes—
200#2486C2212yes—
201#2486C2212yes—
202#2486C2212yes—
203#2485C2212yes—
204#2485C2212yes—
205#2485C2212yes—
206#2485C2211yescharacteristic
207#2485C2211yescharacteristic
208#2481C2214yes—
209#2479C2214yes—
210#2477C2214yes—
211#2477C2214yes—
212#2474C2214yes—
213#2470C2214yes—
214#2467C2214yes—
215#2459C2214yes—
216#2459C2214yes—
217#2457C2214yes—
218#2451C2212yes—
219#2446C2212yes—
220#2443C2214yes—
221#2442C2212yes—
222#2440C2212yes—
223#2439C2212yes—
224#2439C2212yes—
225#2439C2212yes—
226#2436C2212yes—
227#2432C2212yes—
228#2431C2212yes—
229#2429C2212yes—
230#2427C2212yes—
231#2427C2212yes—
232#2426C2212yes—
233#2426C2212yes—
234#2423C2212yes—
235#2423C2212yes—
236#2421C2212yes—
237#2421C2212yes—
238#2420C2212yes—
239#2420C2212yes—
240#2417C2212yes—
241#2417C2212yes—
242#2416C2212yes—
243#2416C2212yes—
244#2415C2212yes—
245#2415C2212yes—
246#2415C2212yes—
247#2414C2212yes—
248#2409C2212yes—
249#2407C2212yes—
250#2407C2212yes—
251#2407C2212yes—
252#2407C2211yescharacteristic
253#2407C2212yes—
254#2407C2211yescharacteristic
255#2398C2212yes—
256#2397C2212yes—
257#2395C2212yes—
258#2388C2212yes—
259#2388C2212yes—
260#2388C2212yes—
261#2365C2211yescharacteristic
262#2365C2211yescharacteristic
263#2363C2212yes—
264#2360C2212yes—
265#2355C2211yescharacteristic
266#2354C2211yescharacteristic
267#2354C2211yescharacteristic
268#2354C2212yes—
269#2352C2212yes—
270#2352C2212yes—
271D4×C4⋊C4C2211yescharacteristic
272D4×C4⋊C4C2212yes—
273#2346C2212yes—
274#2346C2212yes—
275#2344C2212yes—
276Q8×C22⋊C4C2212yes—
277#2331C2212yes—
278#2330C2212yes—
279#2326C2212yes—
280#2320C2212yes—
281#2311C2212yes—
282#2311C2212yes—
283#2310C2212yes—
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2212yes—
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic
290C4×#121C2211yescharacteristic
291C4×#121C2211yescharacteristic
292C4×#121C2211yescharacteristic
293#2297C2212yes—
294#2290C2212yes—
295#2290C2212yes—
296#2285C2211yescharacteristic
297#2283C2211yescharacteristic
298#2283C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C23×Q8C2312yes—
304#556—44no—
305#555—48no—
306#548—48no—
307#547—44no—
308#536—48no—
309#532—44no—
310C2×C4⋊Q8—44no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2314yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×#127C2311yescharacteristic
321C2×#126C2314yes—
322C2×#125C2312yes—
323C2×#124C2314yes—
324C2×#124C2314yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2314yes—
330C2×#124C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2314yes—
346C2×#121C2311yescharacteristic
347C2×#121C2311yescharacteristic
348C2×#121C2312yes—
349C2×#121C2311yescharacteristic
350C2×#121C2312yes—
351C2×#121C2311yescharacteristic
352C2×#121C2311yescharacteristic
353C2×#121C2311yescharacteristic
354C2×#121C2311yescharacteristic
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×#121C2311yescharacteristic
359C2×#121C2314yes—
360C4×#41—44no—
361C4×#41—44no—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2312yes—
390C2×#117C2312yes—
391C2×#117C2311yescharacteristic
392C2×#117C2312yes—
393C2×#117C2312yes—
394C2×#117C2312yes—
395C2×#117C2314yes—
396C2×#117C2311yescharacteristic
397C2×#117C2312yes—
398C2×#117C2311yescharacteristic
399C2×#117C2311yescharacteristic
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2312yes—
403C22×C4⋊C4C2312yes—
404C22×C42C2311yescharacteristic
405C22×C42C2311yescharacteristic
406C22×C42C2311yescharacteristic
407C22×C42C2312yes—
408#401C2314yes—
409#401C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2312yes—
425#400C2312yes—
426#400C2312yes—
427#400C2314yes—
428#399C2312yes—
429#399C2314yes—
430#399C2312yes—
431#399C2312yes—
432#399C2312yes—
433#399C2314yes—
434#399C2312yes—
435#399C2314yes—
436#399C2314yes—
437#398C2312yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2312yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2312yes—
465#397C2314yes—
466#397C2312yes—
467#397C2312yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#395C2312yes—
483#395C2314yes—
484#395C2312yes—
485#395C2312yes—
486#395C2314yes—
487#395C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2312yes—
494#394C2314yes—
495#394C2314yes—
496#394C2312yes—
497#394C2314yes—
498#394C2314yes—
499#394C2312yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2312yes—
504#394C2314yes—
505#394C2312yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2312yes—
510#394C2312yes—
511#394C2312yes—
512#394C2312yes—
513#394C2312yes—
514#394C2312yes—
515#394C2312yes—
516#394C2312yes—
517#394C2314yes—
518#394C2314yes—
519#393C2314yes—
520#393C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2314yes—
524#393C2314yes—
525#393C2312yes—
526#393C2314yes—
527#393C2312yes—
528#393C2312yes—
529#393C2314yes—
530#393C2312yes—
531#393C2312yes—
532#393C2314yes—
533#392C2312yes—
534#392C2312yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2312yes—
539#392C2314yes—
540#392C2314yes—
541#392C2312yes—
542#392C2314yes—
543#392C2312yes—
544#392C2312yes—
545#392C2312yes—
546#392C2312yes—
547#392C2312yes—
548#392C2312yes—
549#392C2312yes—
550#392C2312yes—
551#392C2312yes—
552#391C2312yes—
553#391C2312yes—
554#391C2312yes—
555#391C2312yes—
556#391C2314yes—
557#391C2314yes—
558#391C2314yes—
559#391C2314yes—
560#391C2312yes—
561#391C2314yes—
562#391C2314yes—
563#391C2312yes—
564#391C2312yes—
565#391C2312yes—
566#391C2311yescharacteristic
567#391C2311yescharacteristic
568#391C2314yes—
569#391C2314yes—
570#391C2314yes—
571#391C2312yes—
572#391C2314yes—
573#391C2312yes—
574#391C2312yes—
575#391C2312yes—
576#391C2314yes—
577#390C2314yes—
578#390C2314yes—
579#390C2314yes—
580#390C2314yes—
581#390C2311yescharacteristic
582#390C2311yescharacteristic
583#390C2311yescharacteristic
584#390C2314yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2311yescharacteristic
589#390C2311yescharacteristic
590#390C2311yescharacteristic
591#390C2314yes—
592#390C2314yes—
593#390C2312yes—
594#389C2311yescharacteristic
595#389C2314yes—
596#389C2312yes—
597#389C2311yescharacteristic
598#389C2312yes—
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2311yescharacteristic
603#389C2314yes—
604#389C2314yes—
605#389C2312yes—
606#389C2314yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2314yes—
619#389C2312yes—
620#389C2312yes—
621#389C2311yescharacteristic
622#389C2311yescharacteristic
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2312yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2312yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2312yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2312yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2312yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2312yes—
674#387C2314yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2312yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2312yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2312yes—
700#386C2312yes—
701#386C2312yes—
702#386C2312yes—
703#386C2314yes—
704#386C2314yes—
705#386C2312yes—
706#386C2312yes—
707#386C2312yes—
708#386C2312yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#385C2314yes—
713#385C2312yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2312yes—
718#385C2312yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2312yes—
724#385C2312yes—
725#385C2312yes—
726#385C2314yes—
727#385C2314yes—
728#384C2312yes—
729#384C2312yes—
730#384C2311yescharacteristic
731#384C2311yescharacteristic
732#383C2314yes—
733#383C2314yes—
734#383C2312yes—
735#383C2312yes—
736#382C2314yes—
737#382C2314yes—
738#382C2311yescharacteristic
739#382C2312yes—
740#382C2312yes—
741#382C2314yes—
742#382C2312yes—
743#382C2311yescharacteristic
744#382C2311yescharacteristic
745#382C2311yescharacteristic
746#381C2314yes—
747#381C2314yes—
748#381C2314yes—
749#381C2314yes—
750#381C2312yes—
751#381C2312yes—
752#380C2311yescharacteristic
753#380C2311yescharacteristic
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2311yescharacteristic
763#380C2311yescharacteristic
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2311yescharacteristic
770#380C2314yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2311yescharacteristic
777#380C2311yescharacteristic
778#380C2311yescharacteristic
779#380C2311yescharacteristic
780#380C2311yescharacteristic
781#380C2311yescharacteristic
782#380C2314yes—
783#380C2314yes—
784#380C2312yes—
785#380C2311yescharacteristic
786#380C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2314yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816#376C2312yes—
817#376C2312yes—
818#376C2314yes—
819C2×#41—24no—
820C2×#41—42no—
821C2×#41—42no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—42no—
826C2×#41—42no—
827C2×#41—42no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C22×Q8—28no—
832C22×Q8—44no—
833C22×Q8—44no—
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×Q8C2412yes—
837C22×Q8C2411yescharacteristic
838C22×Q8C2414yes—
839C22×Q8C2414yes—
840C22×Q8C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2411yescharacteristic
843C22×D4C2411yescharacteristic
844C22×D4C2412yes—
845C22×D4C2411yescharacteristic
846C22×D4C2411yescharacteristic
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C23×C4C2411yescharacteristic
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2411yescharacteristic
864C23×C4C2412yes—
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2414yes—
871C23×C4C2411yescharacteristic
872C23×C4C2411yescharacteristic
873C23×C4C2414yes—
874C23×C4C2414yes—
875C23×C4C2412yes—
876C23×C4C2412yes—
877C4⋊Q8—24no—
878C4⋊Q8—24no—
879C4⋊Q8—44no—
880C4⋊Q8—44no—
881C4⋊Q8—44no—
882C4⋊Q8—42no—
883C4⋊Q8—44no—
884C4⋊Q8—44no—
885C4⋊Q8—48no—
886#127—42no—
887#126—48no—
888#125—44no—
889#124—44no—
890#124—48no—
891#124—44no—
892#124—48no—
893#124—44no—
894#124—44no—
895#124—48no—
896#124—48no—
897#123—48no—
898#123—48no—
899#123—48no—
900C22⋊Q8—48no—
901C22⋊Q8—44no—
902C22⋊Q8—42no—
903C22⋊Q8—44no—
904C22⋊Q8—42no—
905C22⋊Q8—44no—
906C22⋊Q8—44no—
907C22⋊Q8—44no—
908C22⋊Q8—44no—
909C22⋊Q8—44no—
910C22⋊Q8—44no—
911C22⋊Q8—44no—
912#121—24no—
913#121—24no—
914#121—44no—
915#121—48no—
916#121—42no—
917#121—44no—
918#121—42no—
919#121—42no—
920#121—42no—
921#121—42no—
922#121—42no—
923#121—44no—
924#121—44no—
925#121—48no—
926C4×Q8—24no—
927C4×Q8—42no—
928C4×Q8—42no—
929C4×Q8—44no—
930C4×Q8—42no—
931C4×Q8—44no—
932C4×Q8—44no—
933C4×D4—28no—
934C4×D4—24no—
935C4×D4—24no—
936C4×D4—24no—
937C4×D4—42no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—42no—
945C4×D4—42no—
946C4×D4—42no—
947C4×D4—42no—
948C4×D4—42no—
949C4×D4—42no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—48no—
954#117—28no—
955#117—42no—
956#117—42no—
957#117—42no—
958#117—44no—
959#117—48no—
960#117—44no—
961#117—42no—
962#117—44no—
963#117—44no—
964C2×C4⋊C4—44no—
965C2×C4⋊C4—44no—
966C2×C4⋊C4—44no—
967C2×C4⋊C4—44no—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C42—24no—
1097C2×C42—24no—
1098C2×C42—24no—
1099C2×C42—44no—
1100C2×C42C2411yescharacteristic
1101C2×C42C2414yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2412yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2414yes—
1116C2×C42C2412yes—
1117C2×C42C2414yes—
1118C2×C42C2414yes—
1119C2×C42C2414yes—
1120C2×C42C2412yes—
1121C2×C42C2414yes—
1122C2×C42C2414yes—
1123C2×C42C2411yescharacteristic
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
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—
1192C24C2512yes—
1193C24C2512yes—
1194C24C2512yes—
1195C24C2511yescharacteristic
1196C24C2511yescharacteristic
1197C24C2511yescharacteristic
1198#41—416no—
1199#41—416no—
1200#41—816no—
1201#41—816no—
1202C2×Q8—22no—
1203C2×Q8—24no—
1204C2×Q8—24no—
1205C2×Q8—24no—
1206C2×Q8—24no—
1207C2×Q8—22no—
1208C2×Q8—28no—
1209C2×Q8—24no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—24no—
1213C2×Q8—41no—
1214C2×Q8—41no—
1215C2×Q8—42no—
1216C2×Q8—44no—
1217C2×Q8—44no—
1218C2×Q8—42no—
1219C2×Q8—42no—
1220C2×Q8—44no—
1221C2×Q8—44no—
1222C2×Q8—44no—
1223C2×Q8—816no—
1224C2×D4—24no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—44no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—42no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—28no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—24no—
1291C22×C4—24no—
1292C22×C4—24no—
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—22no—
1302C22×C4—22no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—42no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—41no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4H(5,𝔽2)14yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2511yescharacteristic
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2514yes—
1345C22×C4C2511yescharacteristic
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2514yes—
1350C22×C4C2512yes—
1351C22×C4C2514yes—
1352C22×C4C2512yes—
1353C22×C4C2511yescharacteristic
1354C22×C4C2514yes—
1355C22×C4C2511yescharacteristic
1356C22×C4C2511yescharacteristic
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C22×C4C2511yescharacteristic
1361C4⋊C4—22no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—22no—
1369C4⋊C4—24no—
1370C4⋊C4—22no—
1371C4⋊C4—24no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—24no—
1377C4⋊C4—22no—
1378C4⋊C4—24no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—44no—
1392C4⋊C4—41no—
1393C4⋊C4—41no—
1394C4⋊C4—41no—
1395C4⋊C4—41no—
1396C4⋊C4—41no—
1397C4⋊C4—41no—
1398C4⋊C4—42no—
1399C4⋊C4—44no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—42no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—42no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C22⋊C4—28no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—44no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—44no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—44no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—42no—
1471C22⋊C4—44no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C42—22no—
1490C42—22no—
1491C42—22no—
1492C42—22no—
1493C42—22no—
1494C42—22no—
1495C42—22no—
1496C42—22no—
1497C42—22no—
1498C42—24no—
1499C42—28no—
1500C42—24no—
1501C42—24no—
1502C42—24no—
1503C42—24no—
1504C42—42no—
1505C42—42no—
1506C42—44no—
1507C42—44no—
1508C42—44no—
1509C42—44no—
1510C42—44no—
1511C42—44no—
1512C42H(5,𝔽2)14yes—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—22no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—22no—
1530C23—22no—
1531C23—22no—
1532C23—22no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—22no—
1538C23—22no—
1539C23—22no—
1540C23—22no—
1541C23—22no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—22no—
1546C23—22no—
1547C23—22no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—22no—
1552C23—22no—
1553C23—22no—
1554C23C2×H(5,𝔽2)12yes—
1555C23C2611yescharacteristic
1556Q8—44no—
1557Q8—44no—
1558Q8—48no—
1559Q8—48no—
1560Q8—88no—
1561Q8—84no—
1562Q8—164no—
1563D4—44no—
1564D4—48no—
1565D4—44no—
1566D4—44no—
1567D4—48no—
1568D4—44no—
1569D4—44no—
1570D4—44no—
1571D4—84no—
1572D4—84no—
1573D4—84no—
1574D4—84no—
1575D4—84no—
1576D4—84no—
1577D4—84no—
1578D4—84no—
1579D4—84no—
1580D4—88no—
1581D4—164no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—28no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—24no—
1598C2×C4—22no—
1599C2×C4—24no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—24no—
1607C2×C4—24no—
1608C2×C4—22no—
1609C2×C4—24no—
1610C2×C4—24no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—24no—
1623C2×C4—24no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—24no—
1636C2×C4—24no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—21no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—24no—
1647C2×C4—21no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—24no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—21no—
1662C2×C4—44no—
1663C2×C4—48no—
1664C2×C4—44no—
1665C2×C4—44no—
1666C2×C4—48no—
1667C2×C4—48no—
1668C2×C4—44no—
1669C2×C4—44no—
1670C2×C4—44no—
1671C2×C4—48no—
1672C2×C4—82no—
1673C2×C4—82no—
1674C2×C4—88no—
1675C2×C4—84no—
1676C2×C4—88no—
1677C2×C4—88no—
1678C2×C4C2×H(5,𝔽2)12yes—
1679C2×C4C2×H(5,𝔽2)12yes—
1680C2×C4C2×H(5,𝔽2)12yes—
1681C2×C4C2×H(5,𝔽2)12yes—
1682C2×C4C2×H(5,𝔽2)12yes—
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—41no—
1696C22—42no—
1697C22—42no—
1698C22—41no—
1699C22—41no—
1700C22—42no—
1701C22—42no—
1702C22—42no—
1703C22—42no—
1704C22—42no—
1705C22—42no—
1706C22—41no—
1707C22—41no—
1708C22—42no—
1709C22—42no—
1710C22—42no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—42no—
1716C22—42no—
1717C22—42no—
1718C22—41no—
1719C22—42no—
1720C22—42no—
1721C22—42no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—42no—
1726C22—42no—
1727C22—42no—
1728C22C22×H(5,𝔽2)11yescharacteristic
1729C22C22×H(5,𝔽2)11yescharacteristic
1730C22C2×#58511yescharacteristic
1731C22C2×#58511yescharacteristic
1732C22C2×#58511yescharacteristic
1733C222−1+611yescharacteristic
1734C222−1+611yescharacteristic
1735C4—22no—
1736C4—22no—
1737C4—41no—
1738C4—41no—
1739C4—42no—
1740C4—41no—
1741C4—42no—
1742C4—42no—
1743C4—41no—
1744C4—42no—
1745C4—41no—
1746C4—41no—
1747C4—44no—
1748C4—42no—
1749C4—42no—
1750C4—42no—
1751C4—44no—
1752C4—42no—
1753C4—42no—
1754C4—42no—
1755C4—42no—
1756C4—42no—
1757C4—42no—
1758C4—41no—
1759C4—41no—
1760C4—44no—
1761C4—44no—
1762C4#354014yes—
1763C4#354214yes—
1764C2—42no—
1765C2—82no—
1766C2—81no—
1767C2—81no—
1768C2—82no—
1769C2—82no—
1770C2C2×#354211yescharacteristic
1771C2C2×#354011yescharacteristic
1772C2#6288611yescharacteristic
1773C2#6292511yescharacteristic
1774C2#6293111yescharacteristic
1775C2#6293611yescharacteristic
1776C2#6293911yescharacteristic
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. #59229C2semidirect
2. #59227C2semidirect
3. #59134C2semidirect
4. #59125C2semidirect
5. #58929C2semidirect
6. #56034C2semidirect
7. #55942C2semidirect
8. #53934C2semidirect
9. #53098C2semidirect
10. #53073C2semidirect
11. #53070C2semidirect
12. #53046C2semidirect
13. #44981C2semidirect
14. #44898C2semidirect
15. #42995C2semidirect
16. #42945C2semidirect
17. #42796C2semidirect
18. #42734C2semidirect
19. #42637C2semidirect
20. #42446C2semidirect
21. #39471C2semidirect
22. #39468C2semidirect
23. #39159C2semidirect
24. #39156C2semidirect
25. #39146C2semidirect
26. #39043C2semidirect
27. #38940C2semidirect
28. #38095C2semidirect
29. #37499C2semidirect
30. #37417C2semidirect
31. #36504C2semidirect
32. #36404C2semidirect
33. #35316C2semidirect
34. #34909C2semidirect
35. #34609C2semidirect

Maximal subgroups

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

subgroupindex
#592292
#592272
#591342
#591252
#589292
#560342
#559422
#539342
#530982
#530732
#530702
#530462
#449812
#448982
#429952
#429452
#427962
#427342
#426372
#424462
#394712
#394682
#391592
#391562
#391462
#390432
#389402
#380952
#374992
#374172
#365042
#364042
#353162
#349092
#346092