Finite Group Databasebeta

← #7646671

Subgroups — #7646671

Order 512.

4643 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42869C212yesmaximal, complemented
2#42852C212yesmaximal, complemented
3#42761C212yesmaximal, complemented
4#42711C212yesmaximal, complemented
5#41882C214yesmaximal, complemented
6#41775C214yesmaximal, complemented
7#39821C212yesmaximal, complemented
8#39754C211yesmaximal, characteristic, complemented
9#39737C211yesmaximal, characteristic, complemented
10#39507C211yesmaximal, characteristic, complemented
11#39481C211yesmaximal, characteristic, complemented
12#39273C212yesmaximal, complemented
13#39200C211yesmaximal, characteristic, complemented
14#39167C211yesmaximal, characteristic, complemented
15#39136C211yesmaximal, characteristic, complemented
16#39124C211yesmaximal, characteristic, complemented
17#37981C212yesmaximal, complemented
18#37953C212yesmaximal, complemented
19#37593C212yesmaximal, complemented
20#37570C212yesmaximal, complemented
21#37107C214yesmaximal, complemented
22#37078C214yesmaximal, complemented
23#35664C212yesmaximal, complemented
24#35663C212yesmaximal, complemented
25#35291C211yesmaximal, characteristic, complemented
26#35216C212yesmaximal, complemented
27#35212C212yesmaximal, complemented
28#35196C211yesmaximal, characteristic, complemented
29#35185C212yesmaximal, complemented
30#35163C212yesmaximal, complemented
31#34932C211yesmaximal, characteristic, complemented
32#34914C211yesmaximal, characteristic, complemented
33#34311C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35#34084C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×D4×Q8C2211yescharacteristic
38C2×#529C2211yescharacteristic
39C2×#529C2212yes—
40C2×#529C2212yes—
41C2×#519C2212yes—
42#2866C2214yes—
43#2864C2214yes—
44#2862C2211yescharacteristic
45#2860C2214yes—
46#2860C2214yes—
47#2859C2211yescharacteristic
48#2857C2211yescharacteristic
49#2857C2211yescharacteristic
50#2855C2212yes—
51#2850C2212yes—
52#2837C2214yes—
53#2832C2214yes—
54#2831C2214yes—
55#2828C2214yes—
56#2808C2214yes—
57#2803C2214yes—
58#2803C2214yes—
59#2802C2214yes—
60#2801C2214yes—
61#2784C2214yes—
62#2781C2214yes—
63#2779C2214yes—
64#2778C2214yes—
65#2775C2214yes—
66#2774C2214yes—
67#2774C2214yes—
68#2773C2214yes—
69#2773C2214yes—
70#2773C2214yes—
71#2772C2214yes—
72#2766C2214yes—
73#2756C2214yes—
74#2754C2214yes—
75#2753C2214yes—
76#2752C2214yes—
77#2751C2214yes—
78#2745C2214yes—
79#2741C2214yes—
80#2741C2214yes—
81#2738C2214yes—
82#2727C2214yes—
83#2723C2214yes—
84#2723C2214yes—
85#2723C2214yes—
86#2705C2214yes—
87#2696C2214yes—
88#2663C2214yes—
89#2661C2214yes—
90#2660C2212yes—
91#2654C2214yes—
92#2652C2214yes—
93#2651C2214yes—
94#2651C2214yes—
95#2650C2214yes—
96#2650C2214yes—
97#2650C2214yes—
98#2649C2214yes—
99#2649C2214yes—
100#2648C2214yes—
101#2648C2214yes—
102#2645C2212yes—
103#2640C2212yes—
104#2628C2212yes—
105#2625C2212yes—
106#2625C2212yes—
107#2624C2212yes—
108#2620C2212yes—
109#2620C2212yes—
110#2619C2212yes—
111#2611C2214yes—
112#2610C2214yes—
113#2609C2214yes—
114#2602C2214yes—
115#2602C2214yes—
116#2599C2214yes—
117#2598C2214yes—
118#2595C2214yes—
119#2592C2212yes—
120#2587C2214yes—
121#2584C2212yes—
122#2582C2212yes—
123#2581C2212yes—
124#2580C2214yes—
125#2571C2211yescharacteristic
126#2571C2212yes—
127#2570C2212yes—
128#2567C2212yes—
129#2563C2212yes—
130#2562C2212yes—
131#2560C2212yes—
132#2559C2212yes—
133#2558C2212yes—
134#2557C2212yes—
135#2553C2214yes—
136#2552C2211yescharacteristic
137#2547C2211yescharacteristic
138#2547C2211yescharacteristic
139#2544C2212yes—
140#2542C2211yescharacteristic
141#2542C2211yescharacteristic
142#2540C2212yes—
143#2540C2212yes—
144#2538C2212yes—
145#2538C2212yes—
146#2537C2211yescharacteristic
147#2537C2211yescharacteristic
148#2536C2212yes—
149#2535C2212yes—
150#2533C2214yes—
151#2529C2214yes—
152#2518C2214yes—
153#2517C2214yes—
154#2516C2214yes—
155#2514C2212yes—
156#2513C2214yes—
157#2513C2212yes—
158#2512C2211yescharacteristic
159#2511C2212yes—
160#2511C2212yes—
161#2509C2214yes—
162#2509C2212yes—
163#2508C2212yes—
164#2508C2212yes—
165#2507C2212yes—
166#2506C2211yescharacteristic
167#2499C2212yes—
168#2497C2212yes—
169#2497C2212yes—
170#2496C2211yescharacteristic
171#2496C2212yes—
172#2495C2212yes—
173#2494C2212yes—
174#2492C2212yes—
175#2491C2211yescharacteristic
176#2490C2212yes—
177#2490C2212yes—
178#2489C2212yes—
179#2489C2212yes—
180#2489C2212yes—
181#2485C2212yes—
182#2485C2212yes—
183#2485C2212yes—
184#2479C2214yes—
185#2478C2214yes—
186#2476C2214yes—
187#2474C2214yes—
188#2471C2214yes—
189#2470C2214yes—
190#2469C2214yes—
191#2469C2214yes—
192#2465C2214yes—
193#2462C2214yes—
194#2458C2214yes—
195#2458C2214yes—
196#2453C2212yes—
197#2453C2212yes—
198#2452C2211yescharacteristic
199#2448C2212yes—
200#2448C2212yes—
201#2445C2211yescharacteristic
202#2441C2212yes—
203#2441C2212yes—
204#2436C2212yes—
205#2428C2211yescharacteristic
206#2427C2212yes—
207#2426C2212yes—
208#2426C2212yes—
209#2423C2212yes—
210#2423C2212yes—
211#2422C2211yescharacteristic
212#2422C2212yes—
213#2421C2212yes—
214#2421C2212yes—
215#2420C2212yes—
216#2415C2212yes—
217#2415C2212yes—
218#2415C2212yes—
219#2414C2212yes—
220#2414C2212yes—
221#2414C2212yes—
222#2409C2212yes—
223#2409C2212yes—
224#2409C2212yes—
225#2398C2212yes—
226#2395C2214yes—
227#2392C2212yes—
228#2373C2214yes—
229#2367C2212yes—
230#2365C2211yescharacteristic
231#2365C2212yes—
232#2365C2211yescharacteristic
233#2362C2212yes—
234#2362C2214yes—
235#2362C2212yes—
236#2356C2212yes—
237#2355C2211yescharacteristic
238#2354C2211yescharacteristic
239#2354C2212yes—
240#2354C2211yescharacteristic
241Q8×C4⋊C4C2211yescharacteristic
242#2347C2212yes—
243Q8×C22⋊C4C2212yes—
244#2335C2212yes—
245#2335C2212yes—
246#2334C2212yes—
247#2334C2212yes—
248#2330C2211yescharacteristic
249#2330C2211yescharacteristic
250#2330C2212yes—
251#2326C2211yescharacteristic
252#2326C2211yescharacteristic
253#2326C2212yes—
254#2324C2211yescharacteristic
255#2324C2211yescharacteristic
256#2324C2212yes—
257#2324C2212yes—
258#2323C2212yes—
259#2323C2214yes—
260#2323C2212yes—
261#2323C2211yescharacteristic
262#2323C2211yescharacteristic
263#2323C2212yes—
264#2323C2212yes—
265#2323C2212yes—
266#2320C2212yes—
267#2314C2212yes—
268#2314C2212yes—
269#2314C2212yes—
270C4×C4⋊Q8C2212yes—
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×#127C2211yescharacteristic
275C4×#126C2214yes—
276C4×#124C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2212yes—
279C4×#121C2211yescharacteristic
280C4×#121C2211yescharacteristic
281C4×#121C2212yes—
282#2298C2212yes—
283#2296C2212yes—
284#2295C2211yescharacteristic
285#2293C2211yescharacteristic
286#2293C2212yes—
287#2293C2211yescharacteristic
288#2293C2212yes—
289#2290C2212yes—
290#2290C2212yes—
291#2285C2211yescharacteristic
292#2285C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2212yes—
299C23×Q8C2312yes—
300#556—28no—
301D4×Q8—28no—
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×#127C2311yescharacteristic
307#529—28no—
308#529—48no—
309#529—48no—
310C2×#126C2314yes—
311C2×#126C2312yes—
312C2×#126C2312yes—
313C2×#126C2312yes—
314C2×#126C2314yes—
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#124C2311yescharacteristic
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#123C2312yes—
325C2×#123C2312yes—
326C2×#123C2312yes—
327C2×#123C2314yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×#121C2311yescharacteristic
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2311yescharacteristic
344C2×#121C2311yescharacteristic
345C2×#121C2312yes—
346C2×#121C2312yes—
347#519—48no—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2314yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2314yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2314yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×#117C2312yes—
375C2×#117C2311yescharacteristic
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2311yescharacteristic
381C2×#117C2314yes—
382C2×#117C2314yes—
383C2×#117C2314yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C22×C42C2311yescharacteristic
387C22×C42C2312yes—
388C22×C42C2312yes—
389#401C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2312yes—
406#400C2312yes—
407#399C2314yes—
408#399C2314yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2314yes—
413#399C2314yes—
414#398C2312yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#397C2312yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2312yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#396C2312yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2312yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#394C2312yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2312yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2312yes—
476#394C2312yes—
477#394C2314yes—
478#394C2314yes—
479#394C2312yes—
480#393C2312yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2312yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#392C2312yes—
489#392C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#391C2312yes—
494#391C2314yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2311yescharacteristic
502#391C2311yescharacteristic
503#391C2312yes—
504#391C2312yes—
505#391C2314yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2314yes—
510#391C2312yes—
511#391C2312yes—
512#390C2312yes—
513#390C2311yescharacteristic
514#390C2311yescharacteristic
515#390C2312yes—
516#390C2314yes—
517#390C2312yes—
518#390C2311yescharacteristic
519#390C2311yescharacteristic
520#390C2311yescharacteristic
521#390C2312yes—
522#390C2312yes—
523#390C2314yes—
524#390C2314yes—
525#390C2314yes—
526#390C2314yes—
527#390C2311yescharacteristic
528#390C2314yes—
529#390C2314yes—
530#390C2312yes—
531#390C2312yes—
532#390C2311yescharacteristic
533#390C2312yes—
534#390C2314yes—
535#390C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2311yescharacteristic
540#389C2314yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2312yes—
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2314yes—
555#389C2312yes—
556#389C2311yescharacteristic
557#389C2314yes—
558#389C2312yes—
559#389C2311yescharacteristic
560#389C2314yes—
561#389C2312yes—
562#389C2312yes—
563#389C2314yes—
564#389C2314yes—
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2312yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2314yes—
577#389C2311yescharacteristic
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2314yes—
583#389C2312yes—
584#389C2311yescharacteristic
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2314yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2312yes—
635#388C2314yes—
636#388C2312yes—
637#388C2312yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2312yes—
672#387C2312yes—
673#387C2314yes—
674#387C2312yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#386C2312yes—
681#386C2312yes—
682#386C2312yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2312yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2312yes—
693#386C2312yes—
694#385C2314yes—
695#385C2314yes—
696#385C2312yes—
697#385C2312yes—
698#385C2312yes—
699#385C2312yes—
700#385C2314yes—
701#385C2314yes—
702#385C2312yes—
703#385C2312yes—
704#385C2312yes—
705#385C2314yes—
706#385C2314yes—
707#385C2312yes—
708#384C2311yescharacteristic
709#384C2311yescharacteristic
710#384C2312yes—
711#384C2311yescharacteristic
712#384C2311yescharacteristic
713#384C2312yes—
714#384C2312yes—
715#384C2312yes—
716#384C2311yescharacteristic
717#384C2311yescharacteristic
718#383C2314yes—
719#383C2314yes—
720#382C2314yes—
721#382C2312yes—
722#382C2312yes—
723#382C2312yes—
724#382C2312yes—
725#382C2314yes—
726#382C2314yes—
727#382C2312yes—
728#382C2312yes—
729#382C2312yes—
730#382C2314yes—
731#381C2314yes—
732#380C2311yescharacteristic
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2311yescharacteristic
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2311yescharacteristic
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2311yescharacteristic
745#380C2314yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2314yes—
752#380C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808#376C2311yescharacteristic
809#376C2312yes—
810#376C2311yescharacteristic
811#376C2314yes—
812C43C2314yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2312yes—
816C22×Q8—28no—
817C22×Q8—44no—
818C22×Q8—44no—
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2411yescharacteristic
822C22×Q8C2414yes—
823C22×Q8C2412yes—
824C22×D4C2411yescharacteristic
825C22×D4C2411yescharacteristic
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2414yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2414yes—
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2414yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C4⋊Q8—24no—
846C4⋊Q8—28no—
847C4⋊Q8—24no—
848C4⋊Q8—42no—
849#127—42no—
850#126—28no—
851#126—216no—
852#126—44no—
853#126—44no—
854#126—48no—
855#125—24no—
856#125—44no—
857#125—44no—
858#125—44no—
859#124—24no—
860#124—28no—
861#124—44no—
862#124—44no—
863#124—44no—
864#123—28no—
865#123—44no—
866#123—44no—
867#123—48no—
868C22⋊Q8—24no—
869C22⋊Q8—28no—
870C22⋊Q8—28no—
871C22⋊Q8—216no—
872C22⋊Q8—44no—
873C22⋊Q8—44no—
874C22⋊Q8—44no—
875C22⋊Q8—44no—
876C22⋊Q8—44no—
877C22⋊Q8—44no—
878C22⋊Q8—44no—
879#121—24no—
880#121—44no—
881#121—44no—
882#121—42no—
883#121—44no—
884#121—42no—
885#121—44no—
886#121—44no—
887C4×Q8—28no—
888C4×Q8—24no—
889C4×Q8—28no—
890C4×Q8—44no—
891C4×Q8—48no—
892C4×Q8—48no—
893C4×Q8—44no—
894C4×Q8—42no—
895C4×Q8—44no—
896C4×Q8—44no—
897C4×Q8—44no—
898C4×Q8#4118yes—
899C4×D4—24no—
900C4×D4—28no—
901C4×D4—24no—
902C4×D4—28no—
903C4×D4—24no—
904C4×D4—24no—
905C4×D4—42no—
906C4×D4—42no—
907C4×D4—42no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—48no—
913#117—28no—
914#117—28no—
915#117—28no—
916#117—24no—
917#117—44no—
918#117—44no—
919#117—42no—
920#117—48no—
921#117—48no—
922#117—48no—
923#117—44no—
924#117—44no—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C42—24no—
1055C2×C42—28no—
1056C2×C42—44no—
1057C2×C42C2414yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2414yes—
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2414yes—
1080C2×C42C2414yes—
1081C2×C42C2412yes—
1082C2×C42C2414yes—
1083C2×C42C2412yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2414yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095#95C2412yes—
1096#95C2411yescharacteristic
1097#95C2414yes—
1098#95C2414yes—
1099#95C2411yescharacteristic
1100#95C2411yescharacteristic
1101#95C2411yescharacteristic
1102#95C2411yescharacteristic
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2414yes—
1106#95C2411yescharacteristic
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165C24C2512yes—
1166C24C2512yes—
1167C24C2512yes—
1168C24C2511yescharacteristic
1169C2×Q8—24no—
1170C2×Q8—28no—
1171C2×Q8—24no—
1172C2×Q8—22no—
1173C2×Q8—24no—
1174C2×Q8—22no—
1175C2×Q8—24no—
1176C2×Q8—24no—
1177C2×Q8—24no—
1178C2×Q8—44no—
1179C2×Q8—44no—
1180C2×Q8—42no—
1181C2×Q8—42no—
1182C2×Q8—42no—
1183C2×Q8—432no—
1184C2×Q8C2×#4114yes—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—24no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—42no—
1196C2×D4—44no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4—44no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—44no—
1211C2×D4—42no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—28no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—22no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—42no—
1236C22×C4—44no—
1237C22×C4—42no—
1238C22×C4—44no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4C2511yescharacteristic
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C22×C4C2514yes—
1252C22×C4C2512yes—
1253C22×C4C2512yes—
1254C22×C4C2511yescharacteristic
1255C22×C4C2512yes—
1256C22×C4C2511yescharacteristic
1257C22×C4C2514yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2512yes—
1262C22×C4C2514yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2514yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—24no—
1285C4⋊C4—22no—
1286C4⋊C4—24no—
1287C4⋊C4—28no—
1288C4⋊C4—28no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—24no—
1298C4⋊C4—28no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—41no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—41no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—42no—
1348C4⋊C4C2×#4114yes—
1349C4⋊C4C2×#4118yes—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—28no—
1353C22⋊C4—28no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—28no—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—24no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—41no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—41no—
1378C22⋊C4—42no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C42—22no—
1409C42—22no—
1410C42—22no—
1411C42—28no—
1412C42—24no—
1413C42—24no—
1414C42—24no—
1415C42—22no—
1416C42—24no—
1417C42—28no—
1418C42—24no—
1419C42—22no—
1420C42—24no—
1421C42—24no—
1422C42—22no—
1423C42—22no—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—42no—
1428C42—42no—
1429C42—42no—
1430C42—44no—
1431C42—41no—
1432C42—42no—
1433C42—41no—
1434C42—41no—
1435C42—41no—
1436C42—44no—
1437C42—44no—
1438C42—44no—
1439C42—44no—
1440C42—44no—
1441C42—42no—
1442C42—44no—
1443C42C2×#4114yes—
1444C42C2×#4118yes—
1445C42H(5,𝔽2)14yes—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—21no—
1450C23—22no—
1451C23—21no—
1452C23—22no—
1453C23—22no—
1454C23—21no—
1455C23—22no—
1456C23—22no—
1457C23—21no—
1458C23—21no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—21no—
1473C23—21no—
1474C23C2611yescharacteristic
1475Q8—28no—
1476Q8—416no—
1477Q8—48no—
1478Q8—48no—
1479Q8—84no—
1480D4—44no—
1481D4—44no—
1482D4—44no—
1483D4—84no—
1484D4—84no—
1485D4—84no—
1486D4—84no—
1487D4—84no—
1488D4—88no—
1489D4—164no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—24no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—24no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—24no—
1541C2×C4—24no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—24no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—24no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—48no—
1573C2×C4—416no—
1574C2×C4—44no—
1575C2×C4—48no—
1576C2×C4—48no—
1577C2×C4—44no—
1578C2×C4—48no—
1579C2×C4—82no—
1580C2×C4—84no—
1581C2×C4—84no—
1582C2×C4—84no—
1583C2×C4C22×#4114yes—
1584C2×C4C22×#4112yes—
1585C2×C4C22×#4114yes—
1586C2×C4C22×#4112yes—
1587C2×C4C22×#4112yes—
1588C2×C4C2×H(5,𝔽2)12yes—
1589C2×C4C2×H(5,𝔽2)12yes—
1590C2×C4C2×H(5,𝔽2)12yes—
1591C2×C4#58512yes—
1592C2×C4#58512yes—
1593C2×C4#58512yes—
1594C22—42no—
1595C22—41no—
1596C22—42no—
1597C22—42no—
1598C22—41no—
1599C22—42no—
1600C22—42no—
1601C22—42no—
1602C22—42no—
1603C22—42no—
1604C22—41no—
1605C22—42no—
1606C22—42no—
1607C22—42no—
1608C22—41no—
1609C22—42no—
1610C22—42no—
1611C22—42no—
1612C22—42no—
1613C22—41no—
1614C22—42no—
1615C22—41no—
1616C22—42no—
1617C22—42no—
1618C22—42no—
1619C22—42no—
1620C22—41no—
1621C22—42no—
1622C22C23×#4111yescharacteristic
1623C22C22×H(5,𝔽2)11yescharacteristic
1624C22C2×#58511yescharacteristic
1625C22C2×#58511yescharacteristic
1626C22C2×#58511yescharacteristic
1627C222−1+611yescharacteristic
1628C222−1+611yescharacteristic
1629C4—22no—
1630C4—24no—
1631C4—22no—
1632C4—24no—
1633C4—22no—
1634C4—41no—
1635C4—42no—
1636C4—44no—
1637C4—41no—
1638C4—42no—
1639C4—42no—
1640C4—42no—
1641C4—42no—
1642C4—41no—
1643C4—41no—
1644C4—42no—
1645C4—44no—
1646C4—42no—
1647C4—42no—
1648C4—42no—
1649C4—41no—
1650C4—41no—
1651C4—42no—
1652C4—44no—
1653C4—42no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—44no—
1658C4#346014yes—
1659C4#352414yes—
1660C2—81no—
1661C2—82no—
1662C2—82no—
1663C2—82no—
1664C2C2×#346011yescharacteristic
1665C2C2×#352411yescharacteristic
1666C2#6286111yescharacteristic
1667C2#6292511yescharacteristic
1668C2#6293611yescharacteristic
1669C2#6296011yescharacteristic
1670C2#6296811yescharacteristic
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. #42869C2semidirect
2. #42852C2semidirect
3. #42761C2semidirect
4. #42711C2semidirect
5. #41882C2semidirect
6. #41775C2semidirect
7. #39821C2semidirect
8. #39754C2semidirect
9. #39737C2semidirect
10. #39507C2semidirect
11. #39481C2semidirect
12. #39273C2semidirect
13. #39200C2semidirect
14. #39167C2semidirect
15. #39136C2semidirect
16. #39124C2semidirect
17. #37981C2semidirect
18. #37953C2semidirect
19. #37593C2semidirect
20. #37570C2semidirect
21. #37107C2semidirect
22. #37078C2semidirect
23. #35664C2semidirect
24. #35663C2semidirect
25. #35291C2semidirect
26. #35216C2semidirect
27. #35212C2semidirect
28. #35196C2semidirect
29. #35185C2semidirect
30. #35163C2semidirect
31. #34932C2semidirect
32. #34914C2semidirect
33. #34311C2semidirect
34. C4×#556C2semidirect
35. #34084C2semidirect

Maximal subgroups

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

subgroupindex
#428692
#428522
#427612
#427112
#418822
#417752
#398212
#397542
#397372
#395072
#394812
#392732
#392002
#391672
#391362
#391242
#379812
#379532
#375932
#375702
#371072
#370782
#356642
#356632
#352912
#352162
#352122
#351962
#351852
#351632
#349322
#349142
#343112
C4×#5562
#340842