Finite Group Databasebeta

← #7647109

Subgroups — #7647109

Order 512.

4337 conjugacy classes of subgroups.

The subgroup lattice has 1612 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42745C212yesmaximal, complemented
2#42744C212yesmaximal, complemented
3#42631C212yesmaximal, complemented
4#42567C212yesmaximal, complemented
5#41350C214yesmaximal, complemented
6#41213C214yesmaximal, complemented
7#39566C212yesmaximal, complemented
8#39515C211yesmaximal, characteristic, complemented
9#39490C211yesmaximal, characteristic, complemented
10#39470C211yesmaximal, characteristic
11#39468C211yesmaximal, characteristic
12#39192C211yesmaximal, characteristic, complemented
13#39157C211yesmaximal, characteristic, complemented
14#39058C212yesmaximal, complemented
15#38965C211yesmaximal, characteristic, complemented
16#38933C211yesmaximal, characteristic, complemented
17#37968C212yesmaximal, complemented
18#37936C212yesmaximal, complemented
19#37519C212yesmaximal, complemented
20#37503C212yesmaximal, complemented
21#37091C214yesmaximal, complemented
22#37088C214yesmaximal, complemented
23#35631C212yesmaximal, complemented
24#35615C212yesmaximal, complemented
25#35291C211yesmaximal, characteristic, complemented
26#35267C212yesmaximal, complemented
27#35221C212yesmaximal, complemented
28#35216C212yesmaximal, complemented
29#35206C211yesmaximal, characteristic, complemented
30#35163C212yesmaximal, complemented
31#34941C211yesmaximal, characteristic, complemented
32#34916C211yesmaximal, characteristic, complemented
33#34332C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35#34086C211yesmaximal, characteristic
36C2×#556C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#532C2211yescharacteristic
39#2866C2214yes—
40#2864C2214yes—
41#2863C2214yes—
42#2862C2211yescharacteristic
43#2860C2214yes—
44#2859C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2855C2212yes—
48#2851C2212yes—
49#2839C2214yes—
50#2838C2214yes—
51#2827C2214yes—
52#2827C2214yes—
53#2798C2214yes—
54#2796C2214yes—
55#2789C2214yes—
56#2776C2214yes—
57#2772C2214yes—
58#2770C2214yes—
59#2769C2214yes—
60#2768C2214yes—
61#2766C2214yes—
62#2765C2214yes—
63#2762C2214yes—
64#2762C2214yes—
65#2759C2214yes—
66#2750C2214yes—
67#2747C2214yes—
68#2746C2214yes—
69#2746C2214yes—
70#2744C2214yes—
71#2740C2214yes—
72#2738C2214yes—
73#2737C2214yes—
74#2725C2214yes—
75#2723C2214yes—
76#2715C2214yes—
77#2704C2214yes—
78#2700C2214yes—
79#2695C2214yes—
80#2691C2214yes—
81#2689C2214yes—
82#2689C2214yes—
83#2689C2214yes—
84#2681C2214yes—
85#2666C2214yes—
86#2666C2214yes—
87#2666C2214yes—
88#2654C2214yes—
89#2652C2214yes—
90#2652C2214yes—
91#2651C2214yes—
92#2651C2214yes—
93#2649C2214yes—
94#2647C2212yes—
95#2645C2212yes—
96#2645C2212yes—
97#2645C2214yes—
98#2644C2214yes—
99#2629C2212yes—
100#2628C2212yes—
101#2627C2214yes—
102#2625C2212yes—
103#2625C2212yes—
104#2623C2214yes—
105#2621C2212yes—
106#2616C2212yes—
107#2616C2212yes—
108#2597C2214yes—
109#2595C2214yes—
110#2592C2212yes—
111#2590C2212yes—
112#2590C2214yes—
113#2589C2212yes—
114#2588C2212yes—
115#2588C2214yes—
116#2587C2212yes—
117#2587C2214yes—
118#2586C2214yes—
119#2585C2214yes—
120#2584C2212yes—
121#2581C2212yes—
122#2578C2214yes—
123#2576C2214yes—
124#2574C2214yes—
125#2573C2214yes—
126#2571C2212yes—
127#2568C2211yescharacteristic
128#2567C2211yescharacteristic
129#2565C2212yes—
130#2563C2211yescharacteristic
131#2552C2211yescharacteristic
132#2552C2211yescharacteristic
133#2550C2212yes—
134#2547C2211yescharacteristic
135#2544C2212yes—
136#2538C2211yescharacteristic
137#2538C2211yescharacteristic
138#2538C2212yes—
139#2533C2214yes—
140#2529C2214yes—
141#2518C2214yes—
142#2518C2214yes—
143#2518C2214yes—
144#2517C2214yes—
145#2516C2214yes—
146#2515C2214yes—
147#2514C2212yes—
148#2514C2212yes—
149#2514C2212yes—
150#2513C2212yes—
151#2512C2212yes—
152#2511C2211yescharacteristic
153#2511C2212yes—
154#2510C2214yes—
155#2510C2214yes—
156#2509C2212yes—
157#2509C2212yes—
158#2509C2212yes—
159#2508C2212yes—
160#2508C2212yes—
161#2507C2212yes—
162#2507C2211yescharacteristic
163#2507C2212yes—
164#2503C2212yes—
165#2499C2212yes—
166#2497C2212yes—
167#2497C2211yescharacteristic
168#2496C2212yes—
169#2496C2212yes—
170#2496C2212yes—
171#2495C2212yes—
172#2495C2212yes—
173#2495C2212yes—
174#2494C2212yes—
175#2494C2214yes—
176#2494C2212yes—
177#2494C2212yes—
178#2494C2212yes—
179#2493C2214yes—
180#2492C2211yescharacteristic
181#2490C2212yes—
182#2489C2212yes—
183#2489C2212yes—
184#2489C2212yes—
185#2489C2212yes—
186#2488C2214yes—
187#2486C2212yes—
188#2485C2212yes—
189#2481C2214yes—
190#2481C2214yes—
191#2479C2214yes—
192#2478C2214yes—
193#2477C2214yes—
194#2470C2214yes—
195#2454C2212yes—
196#2454C2212yes—
197#2453C2212yes—
198#2453C2212yes—
199#2453C2212yes—
200#2451C2212yes—
201#2451C2211yescharacteristic
202#2448C2212yes—
203#2447C2212yes—
204#2447C2212yes—
205#2447C2212yes—
206#2446C2211yescharacteristic
207#2445C2212yes—
208#2441C2212yes—
209#2440C2212yes—
210#2429C2212yes—
211#2429C2211yescharacteristic
212#2427C2212yes—
213#2426C2212yes—
214#2423C2212yes—
215#2423C2212yes—
216#2423C2211yescharacteristic
217#2423C2212yes—
218#2421C2212yes—
219#2420C2212yes—
220#2417C2212yes—
221#2415C2212yes—
222#2402C2212yes—
223#2396C2212yes—
224#2396C2214yes—
225#2373C2214yes—
226#2370C2212yes—
227#2369C2211yescharacteristic
228#2367C2212yes—
229#2365C2211yescharacteristic
230#2362C2212yes—
231#2360C2212yes—
232#2360C2214yes—
233#2356C2212yes—
234#2355C2211yescharacteristic
235#2354C2211yescharacteristic
236Q8×C4⋊C4C2211yescharacteristic
237D4×C4⋊C4C2211yescharacteristic
238D4×C4⋊C4C2212yes—
239#2347C2212yes—
240#2345C2212yes—
241#2337C2212yes—
242#2337C2212yes—
243#2333C2212yes—
244#2333C2212yes—
245#2331C2211yescharacteristic
246#2331C2211yescharacteristic
247#2330C2212yes—
248#2330C2212yes—
249#2329C2214yes—
250#2328C2211yescharacteristic
251#2328C2211yescharacteristic
252#2326C2212yes—
253#2324C2211yescharacteristic
254#2324C2211yescharacteristic
255#2324C2211yescharacteristic
256#2324C2211yescharacteristic
257#2323C2212yes—
258#2323C2212yes—
259#2320C2212yes—
260#2320C2212yes—
261#2320C2212yes—
262#2317C2212yes—
263#2316C2212yes—
264#2314C2212yes—
265#2311C2212yes—
266#2311C2212yes—
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2211yescharacteristic
271C4×#125C2212yes—
272C4×#126C2214yes—
273C4×#124C2212yes—
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2211yescharacteristic
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2212yes—
279#2298C2212yes—
280#2297C2212yes—
281#2297C2212yes—
282#2295C2211yescharacteristic
283#2295C2212yes—
284#2293C2211yescharacteristic
285#2293C2212yes—
286#2293C2211yescharacteristic
287C2×#389C2212yes—
288#2290C2212yes—
289#2290C2212yes—
290#2285C2212yes—
291#2283C2211yescharacteristic
292#2275C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2212yes—
299C22×#41C2312yes—
300#556—28no—
301#554—28no—
302#532—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×#127C2311yescharacteristic
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#124C2312yes—
317C2×#124C2312yes—
318C2×#124C2312yes—
319C2×#123C2314yes—
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×#121C2311yescharacteristic
331C2×#121C2311yescharacteristic
332C2×#121C2312yes—
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×#117C2312yes—
353C2×#117C2311yescharacteristic
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2311yescharacteristic
358C2×#117C2314yes—
359C22×C4⋊C4C2312yes—
360C22×C4⋊C4C2312yes—
361C22×C4⋊C4C2314yes—
362C22×C42C2311yescharacteristic
363C22×C42C2312yes—
364C22×C42C2312yes—
365#401C2314yes—
366#401C2314yes—
367#401C2314yes—
368#401C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2312yes—
387#400C2312yes—
388#400C2312yes—
389#400C2312yes—
390#400C2314yes—
391#400C2312yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#399C2314yes—
396#399C2314yes—
397#399C2312yes—
398#399C2314yes—
399#399C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2312yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2312yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2312yes—
415#398C2314yes—
416#398C2312yes—
417#398C2312yes—
418#398C2312yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#396C2312yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2312yes—
450#396C2314yes—
451#396C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2312yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#393C2314yes—
467#393C2314yes—
468#393C2312yes—
469#391C2312yes—
470#391C2311yescharacteristic
471#391C2312yes—
472#391C2312yes—
473#391C2311yescharacteristic
474#391C2312yes—
475#391C2312yes—
476#391C2314yes—
477#391C2314yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2311yescharacteristic
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2314yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2311yescharacteristic
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2311yescharacteristic
499#391C2311yescharacteristic
500#390C2312yes—
501#390C2314yes—
502#390C2314yes—
503#390C2311yescharacteristic
504#390C2311yescharacteristic
505#390C2311yescharacteristic
506#390C2311yescharacteristic
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2311yescharacteristic
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2312yes—
529#389C2314yes—
530#389C2314yes—
531#389C2312yes—
532#389C2312yes—
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2312yes—
542#389C2312yes—
543#389C2311yescharacteristic
544#389C2311yescharacteristic
545#389C2311yescharacteristic
546#389C2311yescharacteristic
547#389C2312yes—
548#389C2314yes—
549#389C2312yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2312yes—
554#389C2314yes—
555#389C2311yescharacteristic
556#389C2314yes—
557#389C2312yes—
558#389C2314yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2311yescharacteristic
566#389C2314yes—
567#389C2312yes—
568#389C2311yescharacteristic
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2312yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2312yes—
622#387C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2312yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2312yes—
659#386C2312yes—
660#386C2312yes—
661#386C2312yes—
662#386C2314yes—
663#386C2312yes—
664#386C2312yes—
665#386C2312yes—
666#386C2312yes—
667#386C2312yes—
668#386C2312yes—
669#386C2312yes—
670#386C2312yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2312yes—
679#385C2312yes—
680#385C2312yes—
681#385C2312yes—
682#385C2314yes—
683#385C2314yes—
684#385C2312yes—
685#385C2312yes—
686#385C2314yes—
687#385C2314yes—
688#384C2311yescharacteristic
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2312yes—
693#384C2312yes—
694#384C2312yes—
695#384C2312yes—
696#383C2314yes—
697#383C2314yes—
698#383C2314yes—
699#383C2314yes—
700#383C2314yes—
701#383C2312yes—
702#382C2312yes—
703#382C2311yescharacteristic
704#382C2312yes—
705#382C2312yes—
706#382C2311yescharacteristic
707#382C2314yes—
708#382C2312yes—
709#382C2312yes—
710#382C2314yes—
711#382C2314yes—
712#382C2314yes—
713#382C2314yes—
714#382C2312yes—
715#381C2314yes—
716#381C2314yes—
717#381C2312yes—
718#381C2314yes—
719#381C2314yes—
720#380C2312yes—
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2311yescharacteristic
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2314yes—
731#380C2314yes—
732#380C2314yes—
733#380C2312yes—
734#380C2311yescharacteristic
735#380C2311yescharacteristic
736#380C2314yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803#376C2311yescharacteristic
804#376C2312yes—
805#376C2312yes—
806#376C2311yescharacteristic
807#376C2314yes—
808C2×#95C2314yes—
809C43C2314yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C2×#41—28no—
814C2×#41—44no—
815C2×#41—44no—
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×D4C2411yescharacteristic
823C22×D4C2411yescharacteristic
824C22×D4C2412yes—
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2412yes—
828C23×C4C2411yescharacteristic
829C23×C4C2412yes—
830C23×C4C2411yescharacteristic
831C23×C4C2412yes—
832C23×C4C2414yes—
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2414yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C4⋊Q8—24no—
840C4⋊Q8—24no—
841C4⋊Q8—24no—
842C4⋊Q8—42no—
843C4⋊Q8—42no—
844#127—24no—
845#126—216no—
846#126—84no—
847#126—84no—
848#125—28no—
849#125—44no—
850#125—44no—
851#125—82no—
852#124—28no—
853#124—28no—
854#124—44no—
855#123—84no—
856C22⋊Q8—28no—
857C22⋊Q8—28no—
858C22⋊Q8—216no—
859C22⋊Q8—44no—
860C22⋊Q8—44no—
861C22⋊Q8—44no—
862C22⋊Q8—42no—
863C22⋊Q8—42no—
864C22⋊Q8—84no—
865C22⋊Q8—82no—
866#121—24no—
867#121—24no—
868#121—28no—
869C4×Q8—28no—
870C4×Q8—24no—
871C4×Q8—24no—
872C4×Q8—28no—
873C4×Q8—44no—
874C4×Q8—42no—
875C4×Q8—42no—
876C4×Q8—44no—
877C4×Q8—44no—
878C4×Q8—82no—
879C4×D4—28no—
880C4×D4—28no—
881C4×D4—24no—
882C4×D4—24no—
883C4×D4—24no—
884C4×D4—42no—
885C4×D4—42no—
886C4×D4—44no—
887C4×D4#4118yes—
888#117—28no—
889#117—24no—
890#117—44no—
891#117—44no—
892#117—42no—
893#117—44no—
894#117—84no—
895C2×C4⋊C4—28no—
896C2×C4⋊C4—44no—
897C2×C4⋊C4—84no—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2411yescharacteristic
974C2×C22⋊C4C2411yescharacteristic
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C42—24no—
1015C2×C42—44no—
1016C2×C42—44no—
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2414yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2414yes—
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2412yes—
1036C2×C42C2414yes—
1037C2×C42C2414yes—
1038C2×C42C2411yescharacteristic
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2414yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2414yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055#95C2412yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2411yescharacteristic
1064#95C2414yes—
1065#95C2414yes—
1066#95C2411yescharacteristic
1067#95C2414yes—
1068#95C2411yescharacteristic
1069#95C2411yescharacteristic
1070#95C2411yescharacteristic
1071#95C2411yescharacteristic
1072#95C2411yescharacteristic
1073#95C2411yescharacteristic
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141C24C2512yes—
1142C24C2511yescharacteristic
1143C24C2512yes—
1144#41—816no—
1145C2×Q8—22no—
1146C2×Q8—22no—
1147C2×Q8—24no—
1148C2×Q8—24no—
1149C2×Q8—24no—
1150C2×Q8—24no—
1151C2×Q8—22no—
1152C2×Q8—22no—
1153C2×Q8—24no—
1154C2×Q8—22no—
1155C2×Q8—22no—
1156C2×Q8—42no—
1157C2×Q8—42no—
1158C2×Q8—42no—
1159C2×Q8—42no—
1160C2×Q8—42no—
1161C2×Q8—42no—
1162C2×Q8—42no—
1163C2×D4—24no—
1164C2×D4—24no—
1165C2×D4—24no—
1166C2×D4—22no—
1167C2×D4—24no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C2×D4—42no—
1178C2×D4—42no—
1179C2×D4—42no—
1180C2×D4C2×#4114yes—
1181C22×C4—24no—
1182C22×C4—24no—
1183C22×C4—28no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—24no—
1187C22×C4—22no—
1188C22×C4—24no—
1189C22×C4—24no—
1190C22×C4—22no—
1191C22×C4—24no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—24no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—44no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—41no—
1206C22×C4—42no—
1207C22×C4—41no—
1208C22×C4—44no—
1209C22×C4—42no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4C2×#4118yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2512yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2511yescharacteristic
1218C22×C4C2514yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2512yes—
1221C22×C4C2511yescharacteristic
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2514yes—
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C22×C4C2514yes—
1231C22×C4C2512yes—
1232C22×C4C2511yescharacteristic
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2511yescharacteristic
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2514yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2512yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C22×C4C2511yescharacteristic
1246C4⋊C4—22no—
1247C4⋊C4—28no—
1248C4⋊C4—24no—
1249C4⋊C4—22no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—22no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—28no—
1256C4⋊C4—24no—
1257C4⋊C4—28no—
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—24no—
1264C4⋊C4—28no—
1265C4⋊C4—22no—
1266C4⋊C4—24no—
1267C4⋊C4—22no—
1268C4⋊C4—24no—
1269C4⋊C4—22no—
1270C4⋊C4—24no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—44no—
1275C4⋊C4—42no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—44no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—42no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4C2×#4114yes—
1320C22⋊C4—28no—
1321C22⋊C4—24no—
1322C22⋊C4—28no—
1323C22⋊C4—28no—
1324C22⋊C4—24no—
1325C22⋊C4—24no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—44no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4C2×#4118yes—
1362C42—22no—
1363C42—22no—
1364C42—22no—
1365C42—28no—
1366C42—24no—
1367C42—24no—
1368C42—22no—
1369C42—28no—
1370C42—22no—
1371C42—22no—
1372C42—24no—
1373C42—24no—
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—22no—
1378C42—24no—
1379C42—24no—
1380C42—42no—
1381C42—42no—
1382C42—42no—
1383C42—42no—
1384C42—41no—
1385C42—42no—
1386C42—41no—
1387C42—44no—
1388C42—44no—
1389C42—42no—
1390C42—44no—
1391C42—42no—
1392C42—42no—
1393C42—44no—
1394C42—44no—
1395C42—41no—
1396C42—41no—
1397C42—44no—
1398C42C2×#4114yes—
1399C422−1+414yes—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—21no—
1408C23—21no—
1409C23—22no—
1410C23—21no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—22no—
1418C23—21no—
1419C23—22no—
1420C23C22×#4114yes—
1421C23C2611yescharacteristic
1422Q8—48no—
1423Q8—44no—
1424Q8—44no—
1425Q8—84no—
1426Q8—84no—
1427Q8—84no—
1428D4—28no—
1429D4—44no—
1430D4—84no—
1431D4—84no—
1432D4—84no—
1433D4—84no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—216no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—24no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—24no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—24no—
1456C2×C4—24no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—24no—
1483C2×C4—24no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—24no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—21no—
1502C2×C4—24no—
1503C2×C4—21no—
1504C2×C4—24no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—48no—
1522C2×C4—44no—
1523C2×C4—48no—
1524C2×C4—44no—
1525C2×C4—82no—
1526C2×C4—84no—
1527C2×C4—88no—
1528C2×C4—84no—
1529C2×C4—84no—
1530C2×C4—164no—
1531C2×C4C22×#4114yes—
1532C2×C4C22×#4112yes—
1533C2×C4C22×#4112yes—
1534C2×C4C22×#4112yes—
1535C2×C4C2×2−1+412yes—
1536C2×C4C2×2−1+412yes—
1537C2×C4C2×2−1+412yes—
1538C2×C4#58512yes—
1539C2×C4#58512yes—
1540C2×C4#58512yes—
1541C22—24no—
1542C22—24no—
1543C22—24no—
1544C22—42no—
1545C22—42no—
1546C22—42no—
1547C22—42no—
1548C22—41no—
1549C22—42no—
1550C22—41no—
1551C22—42no—
1552C22—42no—
1553C22—41no—
1554C22—41no—
1555C22—42no—
1556C22—41no—
1557C22—42no—
1558C22—41no—
1559C22—42no—
1560C22—42no—
1561C22—41no—
1562C22C23×#4111yescharacteristic
1563C22C22×2−1+411yescharacteristic
1564C22C2×#58511yescharacteristic
1565C22C2×#58511yescharacteristic
1566C22C2×#58511yescharacteristic
1567C22H(7,𝔽2)11yescharacteristic
1568C222−1+611yescharacteristic
1569C4—24no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—41no—
1574C4—42no—
1575C4—42no—
1576C4—42no—
1577C4—42no—
1578C4—42no—
1579C4—41no—
1580C4—44no—
1581C4—41no—
1582C4—44no—
1583C4—42no—
1584C4—41no—
1585C4—42no—
1586C4—42no—
1587C4—41no—
1588C4—44no—
1589C4—42no—
1590C4—42no—
1591C4—41no—
1592C4—41no—
1593C4—44no—
1594C4—42no—
1595C4—42no—
1596C4—41no—
1597C4—42no—
1598C4—41no—
1599C4#346114yes—
1600C4#352114yes—
1601C2—44no—
1602C2—81no—
1603C2—82no—
1604C2C2×#346111yescharacteristic
1605C2C2×#352111yescharacteristic
1606C2#6285711yescharacteristic
1607C2#6292611yescharacteristic
1608C2#6293211yescharacteristic
1609C2#6293711yescharacteristic
1610C2#6293911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#532C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42745C2semidirect
2. #42744C2semidirect
3. #42631C2semidirect
4. #42567C2semidirect
5. #41350C2semidirect
6. #41213C2semidirect
7. #39566C2semidirect
8. #39515C2semidirect
9. #39490C2semidirect
12. #39192C2semidirect
13. #39157C2semidirect
14. #39058C2semidirect
15. #38965C2semidirect
16. #38933C2semidirect
17. #37968C2semidirect
18. #37936C2semidirect
19. #37519C2semidirect
20. #37503C2semidirect
21. #37091C2semidirect
22. #37088C2semidirect
23. #35631C2semidirect
24. #35615C2semidirect
25. #35291C2semidirect
26. #35267C2semidirect
27. #35221C2semidirect
28. #35216C2semidirect
29. #35206C2semidirect
30. #35163C2semidirect
31. #34941C2semidirect
32. #34916C2semidirect
33. #34332C2semidirect
34. C4×#556C2semidirect

Maximal subgroups

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

subgroupindex
#427452
#427442
#426312
#425672
#413502
#412132
#395662
#395152
#394902
#394702
#394682
#391922
#391572
#390582
#389652
#389332
#379682
#379362
#375192
#375032
#370912
#370882
#356312
#356152
#352912
#352672
#352212
#352162
#352062
#351632
#349412
#349162
#343322
C4×#5562
#340862