Finite Group Databasebeta

← #7653545

Subgroups — #7653545

Order 512.

4825 conjugacy classes of subgroups.

The subgroup lattice has 1698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42465C212yesmaximal, complemented
2#42453C212yesmaximal, complemented
3#41128C214yesmaximal, complemented
4#41046C214yesmaximal, complemented
5#40326C214yesmaximal, complemented
6#40002C212yesmaximal, complemented
7#39997C212yesmaximal, complemented
8#39811C212yesmaximal, complemented
9#39734C211yesmaximal, characteristic, complemented
10#39351C211yesmaximal, characteristic, complemented
11#39268C212yesmaximal, complemented
12#39149C211yesmaximal, characteristic, complemented
13#38941C211yesmaximal, characteristic, complemented
14#38746C214yesmaximal, complemented
15#38241C212yesmaximal, complemented
16#37773C212yesmaximal, complemented
17#37619C211yesmaximal, characteristic, complemented
18#37499C212yesmaximal, complemented
19#36587C211yesmaximal, characteristic, complemented
20#36476C212yesmaximal, complemented
21#36460C211yesmaximal, characteristic, complemented
22#36288C211yesmaximal, characteristic, complemented
23#36252C212yesmaximal, complemented
24#36133C211yesmaximal, characteristic, complemented
25#35800C212yesmaximal, complemented
26#35722C212yesmaximal, complemented
27#35292C211yesmaximal, characteristic
28#35192C211yesmaximal, characteristic, complemented
29#35155C212yesmaximal, complemented
30#35046C212yesmaximal, complemented
31#34979C211yesmaximal, characteristic, complemented
32#34720C212yesmaximal, complemented
33#34213C211yesmaximal, characteristic, complemented
34#34141C211yesmaximal, characteristic, complemented
35#34127C211yesmaximal, characteristic, complemented
36C2×#542C2212yes—
37C2×#533C2211yescharacteristic
38C2×#533C2212yes—
39C2×#532C2211yescharacteristic
40C2×C4×#41C2211yescharacteristic
41C2×C4×#41C2212yes—
42#2864C2212yes—
43#2862C2212yes—
44#2862C2212yes—
45#2860C2212yes—
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic
48#2856C2211yescharacteristic
49#2856C2211yescharacteristic
50#2855C2212yes—
51#2855C2214yes—
52#2853C2214yes—
53#2850C2212yes—
54#2827C2214yes—
55#2824C2214yes—
56#2816C2214yes—
57#2808C2214yes—
58#2798C2214yes—
59#2798C2214yes—
60#2796C2214yes—
61#2787C2214yes—
62#2776C2214yes—
63#2773C2214yes—
64#2766C2214yes—
65#2759C2214yes—
66#2754C2214yes—
67#2754C2214yes—
68#2747C2214yes—
69#2739C2214yes—
70#2737C2214yes—
71#2732C2214yes—
72#2730C2214yes—
73#2723C2214yes—
74#2721C2214yes—
75#2716C2214yes—
76#2712C2214yes—
77#2694C2214yes—
78#2689C2214yes—
79#2686C2214yes—
80#2672C2214yes—
81#2665C2214yes—
82#2658C2212yes—
83#2653C2214yes—
84#2653C2214yes—
85#2653C2214yes—
86#2652C2214yes—
87#2648C2214yes—
88#2645C2212yes—
89#2640C2212yes—
90#2640C2212yes—
91#2638C2214yes—
92#2636C2214yes—
93#2633C2214yes—
94#2630C2214yes—
95#2624C2212yes—
96#2624C2212yes—
97#2624C2212yes—
98#2624C2212yes—
99#2621C2212yes—
100#2615C2212yes—
101#2612C2214yes—
102#2611C2212yes—
103#2611C2212yes—
104#2607C2214yes—
105#2607C2214yes—
106#2605C2214yes—
107#2597C2214yes—
108#2597C2214yes—
109#2595C2214yes—
110#2594C2214yes—
111#2592C2212yes—
112#2589C2214yes—
113#2589C2214yes—
114#2589C2214yes—
115#2580C2212yes—
116#2580C2212yes—
117#2580C2212yes—
118#2576C2214yes—
119#2575C2214yes—
120#2574C2214yes—
121#2571C2211yescharacteristic
122#2571C2211yescharacteristic
123#2570C2212yes—
124#2570C2212yes—
125#2568C2211yescharacteristic
126#2563C2212yes—
127#2559C2214yes—
128#2551C2211yescharacteristic
129#2551C2211yescharacteristic
130#2548C2211yescharacteristic
131#2548C2211yescharacteristic
132#2547C2211yescharacteristic
133#2546C2211yescharacteristic
134#2546C2211yescharacteristic
135#2546C2211yescharacteristic
136#2542C2212yes—
137#2542C2211yescharacteristic
138#2540C2212yes—
139#2535C2212yes—
140#2532C2214yes—
141#2527C2214yes—
142#2526C2214yes—
143#2518C2214yes—
144#2517C2214yes—
145#2514C2212yes—
146#2513C2212yes—
147#2513C2212yes—
148#2513C2212yes—
149#2512C2212yes—
150#2512C2212yes—
151#2509C2212yes—
152#2508C2212yes—
153#2507C2212yes—
154#2506C2212yes—
155#2504C2212yes—
156#2500C2212yes—
157#2499C2212yes—
158#2497C2212yes—
159#2495C2212yes—
160#2494C2212yes—
161#2494C2212yes—
162#2492C2214yes—
163#2492C2212yes—
164#2491C2212yes—
165#2491C2212yes—
166#2491C2212yes—
167#2479C2214yes—
168#2478C2214yes—
169#2477C2214yes—
170#2475C2214yes—
171#2474C2214yes—
172#2471C2214yes—
173#2466C2214yes—
174#2463C2214yes—
175#2462C2214yes—
176#2460C2214yes—
177#2459C2214yes—
178#2459C2214yes—
179#2459C2214yes—
180#2452C2212yes—
181#2451C2212yes—
182#2448C2212yes—
183#2448C2214yes—
184#2447C2212yes—
185#2447C2214yes—
186#2446C2212yes—
187#2446C2212yes—
188#2444C2214yes—
189#2440C2212yes—
190#2439C2212yes—
191#2439C2212yes—
192#2439C2212yes—
193#2439C2212yes—
194#2439C2212yes—
195#2438C2214yes—
196#2432C2212yes—
197#2432C2212yes—
198#2432C2212yes—
199#2429C2212yes—
200#2429C2212yes—
201#2427C2212yes—
202#2426C2212yes—
203#2423C2214yes—
204#2422C2212yes—
205#2421C2212yes—
206#2420C2212yes—
207#2420C2212yes—
208#2415C2211yescharacteristic
209#2415C2211yescharacteristic
210#2415C2211yescharacteristic
211#2415C2211yescharacteristic
212#2414C2212yes—
213#2414C2212yes—
214#2407C2212yes—
215#2407C2212yes—
216#2398C2214yes—
217#2395C2212yes—
218#2395C2212yes—
219#2392C2214yes—
220#2370C2214yes—
221#2369C2212yes—
222#2369C2212yes—
223#2367C2212yes—
224#2367C2212yes—
225#2366C2211yescharacteristic
226#2366C2211yescharacteristic
227#2365C2211yescharacteristic
228#2365C2212yes—
229#2365C2211yescharacteristic
230#2365C2212yes—
231#2364C2214yes—
232#2363C2212yes—
233#2361C2212yes—
234#2361C2212yes—
235#2361C2212yes—
236#2357C2212yes—
237#2357C2212yes—
238#2355C2211yescharacteristic
239#2355C2211yescharacteristic
240#2355C2212yes—
241#2355C2211yescharacteristic
242#2355C2212yes—
243#2355C2211yescharacteristic
244#2352C2211yescharacteristic
245#2352C2211yescharacteristic
246#2352C2211yescharacteristic
247#2352C2211yescharacteristic
248Q8×C4⋊C4C2211yescharacteristic
249Q8×C4⋊C4C2211yescharacteristic
250D4×C4⋊C4C2211yescharacteristic
251D4×C4⋊C4C2211yescharacteristic
252#2347C2212yes—
253#2346C2212yes—
254#2344C2212yes—
255#2343C2212yes—
256#2343C2212yes—
257#2339C2212yes—
258#2337C2214yes—
259#2334C2214yes—
260#2331C2212yes—
261#2331C2212yes—
262#2329C2214yes—
263#2327C2212yes—
264#2324C2212yes—
265#2324C2212yes—
266#2323C2212yes—
267#2319C2212yes—
268#2317C2212yes—
269C4×C4⋊Q8C2212yes—
270C4×#124C2212yes—
271C4×#124C2212yes—
272C4×C22⋊Q8C2211yescharacteristic
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2214yes—
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×#121C2212yes—
280#2297C2212yes—
281#2295C2212yes—
282#2295C2212yes—
283#2293C2212yes—
284#2290C2212yes—
285#2290C2212yes—
286#2290C2214yes—
287#2290C2214yes—
288#2285C2211yescharacteristic
289#2285C2211yescharacteristic
290#2283C2211yescharacteristic
291#2283C2211yescharacteristic
292#2274C2212yes—
293C42×D4C2212yes—
294C42×D4C2212yes—
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301#542—48no—
302#533—28no—
303#533—48no—
304#532—28no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×#127C2311yescharacteristic
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#124C2312yes—
321C2×#124C2314yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2314yes—
325C2×#124C2312yes—
326C2×#123C2314yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C4×#41—28no—
348C4×#41—48no—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2314yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2312yes—
376C2×#117C2312yes—
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C2×#117C2311yescharacteristic
381C2×#117C2311yescharacteristic
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2314yes—
385C2×#117C2311yescharacteristic
386C2×#117C2314yes—
387C2×#117C2311yescharacteristic
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2311yescharacteristic
390C22×C4⋊C4C2311yescharacteristic
391C22×C4⋊C4C2311yescharacteristic
392C22×C42C2311yescharacteristic
393C22×C42C2311yescharacteristic
394C22×C42C2312yes—
395C22×C42C2314yes—
396C22×C42C2312yes—
397C22×C42C2311yescharacteristic
398#401C2314yes—
399#401C2314yes—
400#400C2312yes—
401#400C2312yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2312yes—
420#399C2312yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2312yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2312yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2312yes—
449#397C2314yes—
450#397C2314yes—
451#397C2312yes—
452#397C2312yes—
453#397C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#395C2314yes—
461#395C2314yes—
462#395C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2312yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2312yes—
477#394C2314yes—
478#394C2312yes—
479#394C2312yes—
480#394C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#393C2314yes—
489#393C2314yes—
490#393C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#391C2312yes—
495#391C2312yes—
496#391C2311yescharacteristic
497#391C2311yescharacteristic
498#391C2311yescharacteristic
499#391C2311yescharacteristic
500#391C2314yes—
501#391C2312yes—
502#391C2312yes—
503#391C2314yes—
504#391C2314yes—
505#391C2314yes—
506#391C2314yes—
507#391C2314yes—
508#391C2314yes—
509#391C2314yes—
510#391C2314yes—
511#391C2312yes—
512#391C2314yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2314yes—
517#391C2312yes—
518#391C2314yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2314yes—
529#390C2312yes—
530#390C2314yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2314yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2314yes—
556#389C2314yes—
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2314yes—
565#389C2314yes—
566#389C2312yes—
567#389C2312yes—
568#389C2314yes—
569#389C2312yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
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#388C2312yes—
604#388C2312yes—
605#388C2314yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2314yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2314yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#386C2312yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2312yes—
665#386C2312yes—
666#386C2312yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#385C2314yes—
674#385C2312yes—
675#385C2314yes—
676#385C2312yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2312yes—
688#385C2312yes—
689#385C2312yes—
690#385C2312yes—
691#385C2312yes—
692#385C2314yes—
693#385C2314yes—
694#384C2312yes—
695#384C2311yescharacteristic
696#384C2312yes—
697#384C2311yescharacteristic
698#384C2311yescharacteristic
699#384C2312yes—
700#384C2311yescharacteristic
701#383C2314yes—
702#383C2312yes—
703#383C2312yes—
704#382C2311yescharacteristic
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2314yes—
713#382C2314yes—
714#382C2311yescharacteristic
715#382C2311yescharacteristic
716#382C2312yes—
717#382C2312yes—
718#382C2311yescharacteristic
719#381C2312yes—
720#381C2314yes—
721#381C2314yes—
722#381C2314yes—
723#381C2312yes—
724#381C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2312yes—
728#380C2311yescharacteristic
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2311yescharacteristic
733#380C2312yes—
734#380C2312yes—
735#380C2311yescharacteristic
736#380C2311yescharacteristic
737#380C2311yescharacteristic
738#380C2311yescharacteristic
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741#380C2311yescharacteristic
742#380C2312yes—
743#380C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807#376C2312yes—
808#376C2312yes—
809#376C2312yes—
810#376C2314yes—
811#376C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C43C2312yes—
815C43C2312yes—
816C2×#41—24no—
817C2×#41—28no—
818C2×#41—42no—
819C2×#41—44no—
820C2×#41—44no—
821C2×#41—42no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×Q8C2411yescharacteristic
826C22×Q8C2414yes—
827C22×Q8C2412yes—
828C22×Q8C2414yes—
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2411yescharacteristic
833C22×D4C2414yes—
834C22×D4C2411yescharacteristic
835C22×D4C2414yes—
836C22×D4C2412yes—
837C22×D4C2414yes—
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2414yes—
849C23×C4C2414yes—
850C23×C4C2414yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C4⋊Q8—28no—
855C4⋊Q8—24no—
856C4⋊Q8—24no—
857C4⋊Q8—24no—
858C4⋊Q8—44no—
859C4⋊Q8—44no—
860C4⋊Q8—44no—
861C4⋊Q8—44no—
862C4⋊Q8—44no—
863C4⋊Q8—44no—
864#127—24no—
865#126—48no—
866#126—48no—
867#125—28no—
868#125—48no—
869#124—28no—
870#124—44no—
871#124—44no—
872#124—44no—
873#124—48no—
874#124—48no—
875#123—48no—
876C22⋊Q8—24no—
877C22⋊Q8—24no—
878C22⋊Q8—28no—
879C22⋊Q8—24no—
880C22⋊Q8—24no—
881C22⋊Q8—48no—
882C22⋊Q8—48no—
883C22⋊Q8—42no—
884C22⋊Q8—42no—
885C22⋊Q8—44no—
886C22⋊Q8—44no—
887C22⋊Q8—48no—
888#121—28no—
889#121—28no—
890#121—44no—
891#121—44no—
892#121—44no—
893#121—44no—
894#121—44no—
895#121—44no—
896C4×Q8—28no—
897C4×Q8—24no—
898C4×Q8—24no—
899C4×Q8—24no—
900C4×Q8—24no—
901C4×Q8—28no—
902C4×Q8—44no—
903C4×Q8—44no—
904C4×Q8—48no—
905C4×Q8—44no—
906C4×D4—24no—
907C4×D4—24no—
908C4×D4—24no—
909C4×D4—24no—
910C4×D4—28no—
911C4×D4—28no—
912C4×D4—24no—
913C4×D4—24no—
914C4×D4—28no—
915C4×D4—28no—
916C4×D4—48no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—48no—
921C4×D4—48no—
922C4×D4—44no—
923#117—24no—
924#117—28no—
925#117—24no—
926#117—24no—
927#117—24no—
928#117—24no—
929#117—44no—
930#117—48no—
931#117—48no—
932#117—42no—
933#117—44no—
934#117—42no—
935C2×C4⋊C4—24no—
936C2×C4⋊C4—24no—
937C2×C4⋊C4—42no—
938C2×C4⋊C4—42no—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C42—24no—
1060C2×C42—24no—
1061C2×C42—48no—
1062C2×C42—44no—
1063C2×C42—44no—
1064C2×C42#4118yes—
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2414yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2414yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2412yes—
1090C2×C42C2414yes—
1091C2×C42C2412yes—
1092C2×C42C2414yes—
1093C2×C42C2412yes—
1094C2×C42C2414yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176C24C2511yescharacteristic
1177C24C2514yes—
1178C24C2511yescharacteristic
1179C24C2511yescharacteristic
1180#41—432no—
1181#41—416no—
1182C2×Q8—22no—
1183C2×Q8—22no—
1184C2×Q8—22no—
1185C2×Q8—24no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—22no—
1189C2×Q8—22no—
1190C2×Q8—28no—
1191C2×Q8—22no—
1192C2×Q8—22no—
1193C2×Q8—24no—
1194C2×Q8—22no—
1195C2×Q8—41no—
1196C2×Q8—44no—
1197C2×Q8—42no—
1198C2×Q8—44no—
1199C2×Q8—42no—
1200C2×Q8—44no—
1201C2×Q8—44no—
1202C2×Q8—44no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—28no—
1207C2×D4—22no—
1208C2×D4—28no—
1209C2×D4—22no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—22no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—44no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—44no—
1222C2×D4—41no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—28no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—24no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—28no—
1254C22×C4—24no—
1255C22×C4—28no—
1256C22×C4—42no—
1257C22×C4—44no—
1258C22×C4—41no—
1259C22×C4—44no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—42no—
1264C22×C4—44no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—44no—
1270C22×C4—42no—
1271C22×C4—44no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—44no—
1275C22×C4C2×#4114yes—
1276C22×C4C2×#4114yes—
1277C22×C4C2×#4114yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2514yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2514yes—
1294C22×C4C2512yes—
1295C22×C4C2514yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—28no—
1328C4⋊C4—28no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—42no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4H(5,𝔽2)14yes—
1377C4⋊C42−1+414yes—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—22no—
1386C22⋊C4—22no—
1387C22⋊C4—22no—
1388C22⋊C4—22no—
1389C22⋊C4—28no—
1390C22⋊C4—28no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—28no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—28no—
1397C22⋊C4—28no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—22no—
1435C42—24no—
1436C42—24no—
1437C42—24no—
1438C42—24no—
1439C42—24no—
1440C42—28no—
1441C42—24no—
1442C42—24no—
1443C42—24no—
1444C42—24no—
1445C42—24no—
1446C42—24no—
1447C42—42no—
1448C42—42no—
1449C42—44no—
1450C42—42no—
1451C42—42no—
1452C42—44no—
1453C42—42no—
1454C42—42no—
1455C42—44no—
1456C42—42no—
1457C42—44no—
1458C42—44no—
1459C42—42no—
1460C42—44no—
1461C42—42no—
1462C42C2×#4114yes—
1463C42C2×#4114yes—
1464C42C2×#4114yes—
1465C42C2×#4114yes—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—24no—
1480C23—21no—
1481C23—24no—
1482C23—21no—
1483C23—24no—
1484C23—24no—
1485C23—21no—
1486C23—24no—
1487C23—21no—
1488C23—24no—
1489C23—24no—
1490C23—21no—
1491C23—21no—
1492C23C22×#4112yes—
1493C23#58512yes—
1494C23C2611yescharacteristic
1495Q8—44no—
1496Q8—44no—
1497Q8—44no—
1498Q8—48no—
1499Q8—88no—
1500Q8—84no—
1501Q8—164no—
1502D4—28no—
1503D4—44no—
1504D4—416no—
1505D4—44no—
1506D4—48no—
1507D4—48no—
1508D4—84no—
1509D4—88no—
1510D4—164no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—28no—
1526C2×C4—28no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—24no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—24no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—24no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—24no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—44no—
1594C2×C4—44no—
1595C2×C4—48no—
1596C2×C4—44no—
1597C2×C4—416no—
1598C2×C4—44no—
1599C2×C4—44no—
1600C2×C4—44no—
1601C2×C4—44no—
1602C2×C4—84no—
1603C2×C4—88no—
1604C2×C4—88no—
1605C2×C4—84no—
1606C2×C4—84no—
1607C2×C4C22×#4112yes—
1608C2×C4C22×#4112yes—
1609C2×C4C22×#4112yes—
1610C2×C4C22×#4112yes—
1611C2×C4C22×#4112yes—
1612C2×C4C22×#4112yes—
1613C2×C4C2×H(5,𝔽2)14yes—
1614C2×C4C2×H(5,𝔽2)12yes—
1615C2×C4C2×2−1+414yes—
1616C2×C4C2×2−1+412yes—
1617C2×C4#58512yes—
1618C2×C4#58512yes—
1619C2×C4#58512yes—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—44no—
1635C22—41no—
1636C22—44no—
1637C22—41no—
1638C22—44no—
1639C22—41no—
1640C22—44no—
1641C22—41no—
1642C22—41no—
1643C22—44no—
1644C22—41no—
1645C22—44no—
1646C22—41no—
1647C22—44no—
1648C22C23×#4111yescharacteristic
1649C22C22×H(5,𝔽2)11yescharacteristic
1650C22C22×2−1+411yescharacteristic
1651C22C2×#58511yescharacteristic
1652C22C2×#58511yescharacteristic
1653C22C2×#58511yescharacteristic
1654C22C2×#58511yescharacteristic
1655C4—24no—
1656C4—24no—
1657C4—22no—
1658C4—22no—
1659C4—22no—
1660C4—22no—
1661C4—22no—
1662C4—42no—
1663C4—42no—
1664C4—42no—
1665C4—42no—
1666C4—42no—
1667C4—42no—
1668C4—44no—
1669C4—41no—
1670C4—41no—
1671C4—44no—
1672C4—42no—
1673C4—42no—
1674C4—44no—
1675C4—42no—
1676C4—42no—
1677C4—42no—
1678C4—42no—
1679C4—41no—
1680C4—42no—
1681C4—42no—
1682C4—41no—
1683C4—41no—
1684C4#346114yes—
1685C4#350614yes—
1686C2—42no—
1687C2—42no—
1688C2—84no—
1689C2—81no—
1690C2C2×#346111yescharacteristic
1691C2C2×#350611yescharacteristic
1692C2#6281411yescharacteristic
1693C2#6301511yescharacteristic
1694C2#6302111yescharacteristic
1695C2#6303011yescharacteristic
1696C2#6303411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35292C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42465C2semidirect
2. #42453C2semidirect
3. #41128C2semidirect
4. #41046C2semidirect
5. #40326C2semidirect
6. #40002C2semidirect
7. #39997C2semidirect
8. #39811C2semidirect
9. #39734C2semidirect
10. #39351C2semidirect
11. #39268C2semidirect
12. #39149C2semidirect
13. #38941C2semidirect
14. #38746C2semidirect
15. #38241C2semidirect
16. #37773C2semidirect
17. #37619C2semidirect
18. #37499C2semidirect
19. #36587C2semidirect
20. #36476C2semidirect
21. #36460C2semidirect
22. #36288C2semidirect
23. #36252C2semidirect
24. #36133C2semidirect
25. #35800C2semidirect
26. #35722C2semidirect
28. #35192C2semidirect
29. #35155C2semidirect
30. #35046C2semidirect
31. #34979C2semidirect
32. #34720C2semidirect
33. #34213C2semidirect
34. #34141C2semidirect
35. #34127C2semidirect

Maximal subgroups

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

subgroupindex
#424652
#424532
#411282
#410462
#403262
#400022
#399972
#398112
#397342
#393512
#392682
#391492
#389412
#387462
#382412
#377732
#376192
#374992
#365872
#364762
#364602
#362882
#362522
#361332
#358002
#357222
#352922
#351922
#351552
#350462
#349792
#347202
#342132
#341412
#341272