Finite Group Databasebeta

← #7654396

Subgroups — #7654396

Order 512.

4697 conjugacy classes of subgroups.

The subgroup lattice has 1643 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42714C212yesmaximal, complemented
2#42549C212yesmaximal, complemented
3#42371C214yesmaximal, complemented
4#42367C214yesmaximal, complemented
5#40463C214yesmaximal, complemented
6#40196C212yesmaximal, complemented
7#39801C212yesmaximal, complemented
8#39727C211yesmaximal, characteristic, complemented
9#39659C212yesmaximal, complemented
10#39625C211yesmaximal, characteristic, complemented
11#39596C211yesmaximal, characteristic, complemented
12#39293C212yesmaximal, complemented
13#39167C211yesmaximal, characteristic, complemented
14#38347C214yesmaximal, complemented
15#38285C212yesmaximal
16#38237C212yesmaximal, complemented
17#37631C211yesmaximal, characteristic, complemented
18#37588C212yesmaximal, complemented
19#36594C211yesmaximal, characteristic, complemented
20#36473C212yesmaximal, complemented
21#36473C211yesmaximal, characteristic, complemented
22#36315C211yesmaximal, characteristic, complemented
23#36313C211yesmaximal, characteristic, complemented
24#36310C212yesmaximal, complemented
25#36030C212yesmaximal, complemented
26#36007C212yesmaximal, complemented
27#35283C211yesmaximal, characteristic, complemented
28#35216C212yesmaximal, complemented
29#35176C211yesmaximal, characteristic, complemented
30#35114C212yesmaximal, complemented
31#34970C211yesmaximal, characteristic
32#34950C212yesmaximal, complemented
33#34311C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35#34154C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#556C2212yes—
38C2×#556C2212yes—
39C2×D4×Q8C2211yescharacteristic
40C2×#533C2211yescharacteristic
41C2×#519C2212yes—
42#2868C2211yescharacteristic
43#2866C2214yes—
44#2863C2212yes—
45#2862C2211yescharacteristic
46#2861C2212yes—
47#2860C2212yes—
48#2860C2214yes—
49#2858C2212yes—
50#2857C2211yescharacteristic
51#2857C2212yes—
52#2857C2211yescharacteristic
53#2855C2212yes—
54#2838C2214yes—
55#2838C2214yes—
56#2837C2214yes—
57#2805C2214yes—
58#2803C2214yes—
59#2798C2214yes—
60#2793C2214yes—
61#2792C2214yes—
62#2788C2214yes—
63#2788C2214yes—
64#2787C2214yes—
65#2784C2214yes—
66#2777C2214yes—
67#2777C2214yes—
68#2759C2214yes—
69#2759C2214yes—
70#2758C2214yes—
71#2745C2214yes—
72#2734C2214yes—
73#2731C2214yes—
74#2725C2214yes—
75#2723C2214yes—
76#2723C2214yes—
77#2720C2214yes—
78#2702C2214yes—
79#2692C2214yes—
80#2686C2214yes—
81#2667C2214yes—
82#2665C2214yes—
83#2660C2212yes—
84#2654C2214yes—
85#2653C2214yes—
86#2651C2214yes—
87#2651C2214yes—
88#2650C2214yes—
89#2647C2212yes—
90#2645C2212yes—
91#2640C2212yes—
92#2640C2212yes—
93#2637C2214yes—
94#2632C2214yes—
95#2632C2214yes—
96#2628C2212yes—
97#2628C2212yes—
98#2628C2212yes—
99#2625C2212yes—
100#2620C2212yes—
101#2610C2214yes—
102#2604C2214yes—
103#2604C2214yes—
104#2604C2214yes—
105#2604C2214yes—
106#2599C2214yes—
107#2595C2214yes—
108#2592C2212yes—
109#2587C2214yes—
110#2586C2214yes—
111#2586C2214yes—
112#2582C2212yes—
113#2581C2214yes—
114#2580C2212yes—
115#2568C2211yescharacteristic
116#2567C2212yes—
117#2567C2212yes—
118#2567C2212yes—
119#2552C2211yescharacteristic
120#2551C2212yes—
121#2551C2211yescharacteristic
122#2551C2212yes—
123#2550C2212yes—
124#2547C2212yes—
125#2547C2211yescharacteristic
126#2546C2211yescharacteristic
127#2545C2214yes—
128#2544C2212yes—
129#2542C2211yescharacteristic
130#2542C2212yes—
131#2538C2211yescharacteristic
132#2538C2211yescharacteristic
133#2538C2212yes—
134#2536C2212yes—
135#2532C2214yes—
136#2531C2214yes—
137#2531C2212yes—
138#2529C2214yes—
139#2528C2214yes—
140#2528C2214yes—
141#2527C2214yes—
142#2526C2212yes—
143#2526C2214yes—
144#2524C2214yes—
145#2522C2214yes—
146#2521C2214yes—
147#2521C2214yes—
148#2521C2214yes—
149#2515C2214yes—
150#2514C2212yes—
151#2514C2212yes—
152#2513C2211yescharacteristic
153#2512C2212yes—
154#2512C2212yes—
155#2512C2214yes—
156#2511C2212yes—
157#2511C2212yes—
158#2507C2212yes—
159#2507C2214yes—
160#2507C2211yescharacteristic
161#2507C2212yes—
162#2497C2212yes—
163#2497C2211yescharacteristic
164#2496C2214yes—
165#2496C2212yes—
166#2494C2212yes—
167#2492C2212yes—
168#2492C2212yes—
169#2492C2212yes—
170#2492C2212yes—
171#2492C2212yes—
172#2491C2214yes—
173#2491C2212yes—
174#2490C2211yescharacteristic
175#2489C2212yes—
176#2485C2212yes—
177#2479C2214yes—
178#2479C2214yes—
179#2478C2214yes—
180#2478C2214yes—
181#2476C2212yes—
182#2474C2214yes—
183#2474C2214yes—
184#2471C2212yes—
185#2469C2214yes—
186#2469C2214yes—
187#2458C2214yes—
188#2454C2212yes—
189#2454C2211yescharacteristic
190#2453C2212yes—
191#2451C2212yes—
192#2451C2212yes—
193#2451C2214yes—
194#2451C2212yes—
195#2451C2212yes—
196#2448C2212yes—
197#2446C2212yes—
198#2445C2211yescharacteristic
199#2439C2212yes—
200#2434C2212yes—
201#2429C2212yes—
202#2429C2212yes—
203#2428C2211yescharacteristic
204#2426C2212yes—
205#2423C2212yes—
206#2423C2212yes—
207#2423C2212yes—
208#2420C2211yescharacteristic
209#2415C2212yes—
210#2415C2212yes—
211#2415C2212yes—
212#2415C2212yes—
213#2409C2212yes—
214#2409C2212yes—
215#2409C2212yes—
216#2399C2214yes—
217#2399C2214yes—
218#2395C2212yes—
219#2392C2212yes—
220#2373C2214yes—
221#2371C2212yes—
222#2371C2212yes—
223#2367C2212yes—
224#2365C2212yes—
225#2365C2211yescharacteristic
226#2365C2211yescharacteristic
227#2365C2211yescharacteristic
228#2365C2211yescharacteristic
229#2365C2211yescharacteristic
230#2365C2211yescharacteristic
231#2365C2212yes—
232#2362C2211yescharacteristic
233#2362C2214yes—
234#2362C2212yes—
235#2362C2211yescharacteristic
236#2362C2212yes—
237#2362C2211yescharacteristic
238#2362C2212yes—
239#2362C2211yescharacteristic
240#2362C2212yes—
241#2362C2212yes—
242#2356C2212yes—
243#2356C2212yes—
244#2355C2211yescharacteristic
245#2354C2212yes—
246#2354C2211yescharacteristic
247#2354C2211yescharacteristic
248#2354C2212yes—
249#2354C2212yes—
250Q8×C4⋊C4C2211yescharacteristic
251#2347C2212yes—
252#2346C2212yes—
253Q8×C22⋊C4C2212yes—
254#2337C2214yes—
255#2335C2214yes—
256#2331C2212yes—
257#2330C2212yes—
258#2330C2212yes—
259#2326C2212yes—
260#2324C2212yes—
261#2323C2212yes—
262#2323C2214yes—
263#2323C2212yes—
264#2319C2212yes—
265#2314C2212yes—
266C4×C4⋊Q8C2211yescharacteristic
267C4×C4⋊Q8C2212yes—
268C4×C4⋊Q8C2214yes—
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2212yes—
271C4×C4⋊Q8C2212yes—
272C4×#127C2211yescharacteristic
273C4×#125C2211yescharacteristic
274C4×#126C2214yes—
275C4×#124C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×#123C2212yes—
278C4×#121C2212yes—
279C4×#121C2211yescharacteristic
280C4×#121C2211yescharacteristic
281#2298C2212yes—
282#2298C2212yes—
283#2295C2212yes—
284#2295C2212yes—
285#2295C2211yescharacteristic
286#2295C2211yescharacteristic
287#2295C2212yes—
288#2295C2214yes—
289#2293C2212yes—
290#2293C2211yescharacteristic
291C42×Q8C2211yescharacteristic
292C42×Q8C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2212yes—
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2212yes—
299C23×Q8C2312yes—
300#556—28no—
301#556—48no—
302#556—48no—
303D4×Q8—28no—
304#533—28no—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2314yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×#127C2311yescharacteristic
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#125C2311yescharacteristic
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2314yes—
329C2×#124C2314yes—
330C2×#124C2314yes—
331C2×#123C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×#121C2311yescharacteristic
345C2×#121C2311yescharacteristic
346C2×#121C2312yes—
347#519—48no—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2314yes—
357C2×C4×Q8C2314yes—
358C2×C4×Q8C2314yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2314yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2311yescharacteristic
382C2×#117C2312yes—
383C2×#117C2314yes—
384C2×#117C2314yes—
385C2×#117C2311yescharacteristic
386C2×#117C2311yescharacteristic
387C22×C42C2311yescharacteristic
388C22×C42C2312yes—
389#401C2314yes—
390#401C2314yes—
391#400C2314yes—
392#400C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#399C2314yes—
405#399C2314yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2312yes—
410#399C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2312yes—
420#398C2312yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2312yes—
438#397C2314yes—
439#397C2312yes—
440#397C2312yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2312yes—
449#396C2312yes—
450#396C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#394C2312yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2312yes—
470#394C2314yes—
471#394C2312yes—
472#394C2312yes—
473#394C2312yes—
474#394C2314yes—
475#393C2314yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#392C2312yes—
485#391C2314yes—
486#391C2314yes—
487#391C2314yes—
488#391C2314yes—
489#391C2314yes—
490#391C2312yes—
491#391C2312yes—
492#391C2311yescharacteristic
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2314yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2314yes—
502#391C2314yes—
503#391C2314yes—
504#391C2312yes—
505#391C2312yes—
506#391C2314yes—
507#391C2312yes—
508#391C2311yescharacteristic
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2311yescharacteristic
514#391C2311yescharacteristic
515#391C2312yes—
516#391C2312yes—
517#390C2311yescharacteristic
518#390C2311yescharacteristic
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2314yes—
525#390C2311yescharacteristic
526#390C2314yes—
527#390C2311yescharacteristic
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2314yes—
532#390C2314yes—
533#390C2311yescharacteristic
534#390C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2311yescharacteristic
538#389C2312yes—
539#389C2311yescharacteristic
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2312yes—
544#389C2314yes—
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2312yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#389C2314yes—
562#389C2312yes—
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2314yes—
567#389C2312yes—
568#389C2312yes—
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2312yes—
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2312yes—
580#389C2312yes—
581#389C2311yescharacteristic
582#389C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2312yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2314yes—
625#388C2314yes—
626#388C2312yes—
627#388C2312yes—
628#388C2312yes—
629#388C2312yes—
630#388C2312yes—
631#388C2314yes—
632#388C2312yes—
633#388C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2312yes—
664#387C2314yes—
665#387C2312yes—
666#387C2312yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2314yes—
671#387C2314yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#386C2314yes—
683#386C2314yes—
684#386C2312yes—
685#386C2314yes—
686#386C2312yes—
687#386C2312yes—
688#386C2312yes—
689#386C2312yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2312yes—
698#384C2311yescharacteristic
699#384C2312yes—
700#384C2314yes—
701#384C2312yes—
702#384C2311yescharacteristic
703#384C2311yescharacteristic
704#384C2312yes—
705#384C2312yes—
706#384C2312yes—
707#384C2312yes—
708#383C2314yes—
709#383C2314yes—
710#383C2314yes—
711#382C2311yescharacteristic
712#382C2312yes—
713#382C2312yes—
714#382C2312yes—
715#382C2314yes—
716#382C2312yes—
717#381C2314yes—
718#381C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2314yes—
722#380C2311yescharacteristic
723#380C2314yes—
724#380C2312yes—
725#380C2312yes—
726#380C2314yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802#376C2312yes—
803#376C2312yes—
804#376C2311yescharacteristic
805#376C2314yes—
806#376C2314yes—
807#376C2312yes—
808#376C2314yes—
809#376C2311yescharacteristic
810C43C2314yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2312yes—
814C43C2312yes—
815C43C2312yes—
816C22×Q8—28no—
817C22×Q8—44no—
818C22×Q8—44no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2411yescharacteristic
824C22×Q8C2414yes—
825C22×Q8C2414yes—
826C22×Q8C2414yes—
827C22×D4C2411yescharacteristic
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C23×C4C2411yescharacteristic
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2414yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C4⋊Q8—24no—
842C4⋊Q8—24no—
843C4⋊Q8—24no—
844C4⋊Q8—28no—
845C4⋊Q8—24no—
846C4⋊Q8—44no—
847C4⋊Q8—44no—
848C4⋊Q8—44no—
849C4⋊Q8—44no—
850C4⋊Q8—44no—
851C4⋊Q8—44no—
852C4⋊Q8—48no—
853#127—42no—
854#126—216no—
855#126—48no—
856#126—48no—
857#126—48no—
858#126—48no—
859#125—28no—
860#125—24no—
861#125—44no—
862#124—28no—
863#124—48no—
864#124—48no—
865#124—48no—
866#124—44no—
867#123—28no—
868C22⋊Q8—24no—
869C22⋊Q8—28no—
870C22⋊Q8—24no—
871C22⋊Q8—28no—
872C22⋊Q8—28no—
873C22⋊Q8—216no—
874C22⋊Q8—44no—
875C22⋊Q8—44no—
876C22⋊Q8—44no—
877C22⋊Q8—44no—
878C22⋊Q8—44no—
879C22⋊Q8—44no—
880#121—24no—
881#121—44no—
882#121—42no—
883C4×Q8—24no—
884C4×Q8—28no—
885C4×Q8—24no—
886C4×Q8—28no—
887C4×Q8—28no—
888C4×Q8—28no—
889C4×Q8—24no—
890C4×Q8—28no—
891C4×Q8—48no—
892C4×Q8—48no—
893C4×Q8—48no—
894C4×Q8—44no—
895C4×Q8—48no—
896C4×Q8—42no—
897C4×Q8—42no—
898C4×Q8—44no—
899C4×Q8—44no—
900C4×Q8—44no—
901C4×Q8#4118yes—
902C4×D4—24no—
903C4×D4—24no—
904C4×D4—28no—
905C4×D4—24no—
906C4×D4—42no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—44no—
911#117—28no—
912#117—28no—
913#117—28no—
914#117—24no—
915#117—24no—
916#117—28no—
917#117—44no—
918#117—42no—
919#117—48no—
920#117—48no—
921#117—42no—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C42—24no—
1043C2×C42—44no—
1044C2×C42C2411yescharacteristic
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2414yes—
1048C2×C42C2414yes—
1049C2×C42C2414yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2414yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2414yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2414yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2414yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2411yescharacteristic
1093#95C2412yes—
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2412yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2411yescharacteristic
1102#95C2411yescharacteristic
1103#95C2411yescharacteristic
1104#95C2412yes—
1105#95C2412yes—
1106#95C2411yescharacteristic
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165C24C2512yes—
1166C24C2511yescharacteristic
1167C24C2512yes—
1168C2×Q8—24no—
1169C2×Q8—22no—
1170C2×Q8—24no—
1171C2×Q8—28no—
1172C2×Q8—24no—
1173C2×Q8—22no—
1174C2×Q8—24no—
1175C2×Q8—22no—
1176C2×Q8—24no—
1177C2×Q8—24no—
1178C2×Q8—22no—
1179C2×Q8—24no—
1180C2×Q8—22no—
1181C2×Q8—24no—
1182C2×Q8—28no—
1183C2×Q8—44no—
1184C2×Q8—42no—
1185C2×Q8—44no—
1186C2×Q8—44no—
1187C2×Q8—44no—
1188C2×Q8—44no—
1189C2×Q8—44no—
1190C2×Q8—44no—
1191C2×Q8—432no—
1192C2×Q8C2×#4114yes—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—24no—
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—42no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—24no—
1215C22×C4—28no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—22no—
1219C22×C4—24no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—24no—
1223C22×C4—22no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—44no—
1229C22×C4—41no—
1230C22×C4—44no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4C2511yescharacteristic
1236C22×C4C2514yes—
1237C22×C4C2512yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2512yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2514yes—
1249C22×C4C2512yes—
1250C22×C4C2514yes—
1251C22×C4C2512yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2512yes—
1254C22×C4C2514yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2512yes—
1257C22×C4C2511yescharacteristic
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—28no—
1277C4⋊C4—24no—
1278C4⋊C4—22no—
1279C4⋊C4—28no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—22no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—28no—
1287C4⋊C4—24no—
1288C4⋊C4—22no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—28no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—41no—
1306C4⋊C4—44no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4C2×#4114yes—
1338C4⋊C4C2×#4118yes—
1339C4⋊C4H(5,𝔽2)14yes—
1340C4⋊C42−1+414yes—
1341C4⋊C42−1+414yes—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—28no—
1345C22⋊C4—28no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—28no—
1349C22⋊C4—28no—
1350C22⋊C4—28no—
1351C22⋊C4—24no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—22no—
1360C22⋊C4—41no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C42—22no—
1388C42—22no—
1389C42—22no—
1390C42—24no—
1391C42—28no—
1392C42—28no—
1393C42—28no—
1394C42—24no—
1395C42—24no—
1396C42—22no—
1397C42—24no—
1398C42—28no—
1399C42—22no—
1400C42—24no—
1401C42—22no—
1402C42—22no—
1403C42—22no—
1404C42—24no—
1405C42—24no—
1406C42—24no—
1407C42—24no—
1408C42—28no—
1409C42—22no—
1410C42—22no—
1411C42—24no—
1412C42—22no—
1413C42—22no—
1414C42—22no—
1415C42—24no—
1416C42—24no—
1417C42—22no—
1418C42—42no—
1419C42—42no—
1420C42—41no—
1421C42—42no—
1422C42—44no—
1423C42—44no—
1424C42—42no—
1425C42—44no—
1426C42—42no—
1427C42—42no—
1428C42—42no—
1429C42—44no—
1430C42C2×#4114yes—
1431C42C2×#4118yes—
1432C23—22no—
1433C23—21no—
1434C23—22no—
1435C23—22no—
1436C23—21no—
1437C23—22no—
1438C23—21no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—21no—
1444C23—21no—
1445C23—22no—
1446C23—21no—
1447C23—21no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23C2611yescharacteristic
1454Q8—28no—
1455Q8—48no—
1456Q8—416no—
1457Q8—44no—
1458Q8—48no—
1459Q8—48no—
1460Q8—88no—
1461Q8—88no—
1462D4—44no—
1463D4—44no—
1464D4—84no—
1465D4—84no—
1466D4—84no—
1467D4—84no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—24no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—24no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—24no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—44no—
1550C2×C4—416no—
1551C2×C4—44no—
1552C2×C4—48no—
1553C2×C4—48no—
1554C2×C4—44no—
1555C2×C4—84no—
1556C2×C4—84no—
1557C2×C4C22×#4114yes—
1558C2×C4C22×#4112yes—
1559C2×C4C22×#4114yes—
1560C2×C4C22×#4112yes—
1561C2×C4C22×#4112yes—
1562C2×C4C2×H(5,𝔽2)14yes—
1563C2×C4C2×H(5,𝔽2)12yes—
1564C2×C4C2×2−1+412yes—
1565C2×C4C2×2−1+412yes—
1566C2×C4C2×2−1+412yes—
1567C2×C4C2×2−1+414yes—
1568C2×C4C2×2−1+412yes—
1569C2×C4#58512yes—
1570C2×C4#58512yes—
1571C2×C4#58512yes—
1572C22—42no—
1573C22—41no—
1574C22—42no—
1575C22—42no—
1576C22—42no—
1577C22—41no—
1578C22—42no—
1579C22—42no—
1580C22—41no—
1581C22—41no—
1582C22—42no—
1583C22—42no—
1584C22—41no—
1585C22—42no—
1586C22—42no—
1587C22—41no—
1588C22—42no—
1589C22—42no—
1590C22—42no—
1591C22—42no—
1592C22—41no—
1593C22C23×#4111yescharacteristic
1594C22C22×H(5,𝔽2)11yescharacteristic
1595C22C22×2−1+411yescharacteristic
1596C22C22×2−1+411yescharacteristic
1597C22C2×#58511yescharacteristic
1598C22C2×#58511yescharacteristic
1599C22C2×#58511yescharacteristic
1600C4—22no—
1601C4—22no—
1602C4—24no—
1603C4—22no—
1604C4—24no—
1605C4—22no—
1606C4—22no—
1607C4—24no—
1608C4—24no—
1609C4—41no—
1610C4—42no—
1611C4—44no—
1612C4—42no—
1613C4—44no—
1614C4—42no—
1615C4—41no—
1616C4—42no—
1617C4—42no—
1618C4—41no—
1619C4—41no—
1620C4—42no—
1621C4—41no—
1622C4—41no—
1623C4—44no—
1624C4—42no—
1625C4—42no—
1626C4—41no—
1627C4—42no—
1628C4—44no—
1629C4—42no—
1630C4#346014yes—
1631C4#351814yes—
1632C2—82no—
1633C2—81no—
1634C2—82no—
1635C2C2×#346011yescharacteristic
1636C2C2×#351811yescharacteristic
1637C2#6280511yescharacteristic
1638C2#6301911yescharacteristic
1639C2#6302511yescharacteristic
1640C2#6302511yescharacteristic
1641C2#6303711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2428C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42714C2semidirect
2. #42549C2semidirect
3. #42371C2semidirect
4. #42367C2semidirect
5. #40463C2semidirect
6. #40196C2semidirect
7. #39801C2semidirect
8. #39727C2semidirect
9. #39659C2semidirect
10. #39625C2semidirect
11. #39596C2semidirect
12. #39293C2semidirect
13. #39167C2semidirect
14. #38347C2semidirect
16. #38237C2semidirect
17. #37631C2semidirect
18. #37588C2semidirect
19. #36594C2semidirect
20. #36473C2semidirect
21. #36473C2semidirect
22. #36315C2semidirect
23. #36313C2semidirect
24. #36310C2semidirect
25. #36030C2semidirect
26. #36007C2semidirect
27. #35283C2semidirect
28. #35216C2semidirect
29. #35176C2semidirect
30. #35114C2semidirect
32. #34950C2semidirect
33. #34311C2semidirect
34. C4×#556C2semidirect
35. #34154C2semidirect

Maximal subgroups

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

subgroupindex
#427142
#425492
#423712
#423672
#404632
#401962
#398012
#397272
#396592
#396252
#395962
#392932
#391672
#383472
#382852
#382372
#376312
#375882
#365942
#364732
#363152
#363132
#363102
#360302
#360072
#352832
#352162
#351762
#351142
#349702
#349502
#343112
C4×#5562
#341542