Finite Group Databasebeta

← #7646517

Subgroups — #7646517

Order 512.

4850 conjugacy classes of subgroups.

The subgroup lattice has 1737 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42989C212yesmaximal, complemented
2#42946C212yesmaximal, complemented
3#42925C212yesmaximal, complemented
4#42923C212yesmaximal, complemented
5#42031C214yesmaximal, complemented
6#42030C214yesmaximal, complemented
7#39608C211yesmaximal, characteristic, complemented
8#39607C211yesmaximal, characteristic, complemented
9#39352C211yesmaximal, characteristic, complemented
10#39351C211yesmaximal, characteristic, complemented
11#39158C211yesmaximal, characteristic, complemented
12#39157C211yesmaximal, characteristic, complemented
13#38942C211yesmaximal, characteristic, complemented
14#38941C211yesmaximal, characteristic, complemented
15#38131C212yesmaximal, complemented
16#38129C212yesmaximal, complemented
17#37711C212yesmaximal, complemented
18#37710C212yesmaximal, complemented
19#37573C212yesmaximal, complemented
20#37572C212yesmaximal, complemented
21#36817C214yesmaximal, complemented
22#36811C214yesmaximal, complemented
23#35598C212yesmaximal, complemented
24#35597C212yesmaximal, complemented
25#35292C211yesmaximal, characteristic, complemented
26#35238C211yesmaximal, characteristic, complemented
27#35207C212yesmaximal, complemented
28#35196C212yesmaximal, complemented
29#35175C212yesmaximal, complemented
30#35169C212yesmaximal, complemented
31#34938C211yesmaximal, characteristic, complemented
32#34911C211yesmaximal, characteristic, complemented
33#34242C211yesmaximal, characteristic, complemented
34#34155C211yesmaximal, characteristic, complemented
35#34060C211yesmaximal, characteristic, complemented
36C2×#542C2212yes—
37C2×#540C2212yes—
38C2×#533C2212yes—
39C2×#532C2211yescharacteristic
40C2×#529C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42#2857C2211yescharacteristic
43#2857C2211yescharacteristic
44#2856C2211yescharacteristic
45#2856C2211yescharacteristic
46#2856C2212yes—
47#2855C2214yes—
48#2854C2214yes—
49#2851C2214yes—
50#2850C2212yes—
51#2850C2214yes—
52#2838C2214yes—
53#2837C2214yes—
54#2832C2214yes—
55#2829C2214yes—
56#2796C2214yes—
57#2778C2214yes—
58#2763C2214yes—
59#2762C2214yes—
60#2759C2214yes—
61#2756C2214yes—
62#2755C2214yes—
63#2753C2214yes—
64#2746C2214yes—
65#2737C2214yes—
66#2730C2214yes—
67#2728C2214yes—
68#2723C2214yes—
69#2723C2214yes—
70#2714C2214yes—
71#2711C2214yes—
72#2708C2214yes—
73#2706C2214yes—
74#2704C2214yes—
75#2700C2214yes—
76#2699C2214yes—
77#2696C2214yes—
78#2692C2214yes—
79#2689C2214yes—
80#2688C2214yes—
81#2686C2214yes—
82#2681C2214yes—
83#2681C2214yes—
84#2676C2214yes—
85#2676C2214yes—
86#2672C2214yes—
87#2671C2214yes—
88#2667C2214yes—
89#2665C2214yes—
90#2663C2214yes—
91#2663C2214yes—
92#2662C2214yes—
93#2662C2214yes—
94#2661C2214yes—
95#2654C2214yes—
96#2653C2214yes—
97#2653C2214yes—
98#2653C2214yes—
99#2649C2214yes—
100#2649C2214yes—
101#2645C2212yes—
102#2644C2212yes—
103#2641C2212yes—
104#2640C2212yes—
105#2629C2212yes—
106#2628C2212yes—
107#2624C2212yes—
108#2624C2212yes—
109#2624C2212yes—
110#2615C2212yes—
111#2604C2212yes—
112#2603C2212yes—
113#2602C2212yes—
114#2602C2212yes—
115#2596C2214yes—
116#2595C2214yes—
117#2593C2214yes—
118#2592C2212yes—
119#2592C2211yescharacteristic
120#2589C2214yes—
121#2587C2214yes—
122#2584C2211yescharacteristic
123#2580C2212yes—
124#2574C2214yes—
125#2571C2212yes—
126#2567C2211yescharacteristic
127#2566C2212yes—
128#2563C2212yes—
129#2563C2212yes—
130#2563C2211yescharacteristic
131#2562C2211yescharacteristic
132#2559C2214yes—
133#2557C2214yes—
134#2556C2214yes—
135#2555C2214yes—
136#2554C2214yes—
137#2553C2214yes—
138#2552C2211yescharacteristic
139#2552C2211yescharacteristic
140#2552C2212yes—
141#2551C2211yescharacteristic
142#2551C2211yescharacteristic
143#2550C2212yes—
144#2550C2212yes—
145#2549C2214yes—
146#2548C2211yescharacteristic
147#2547C2212yes—
148#2544C2212yes—
149#2542C2212yes—
150#2541C2211yescharacteristic
151#2540C2212yes—
152#2540C2211yescharacteristic
153#2537C2212yes—
154#2537C2212yes—
155#2535C2212yes—
156#2516C2214yes—
157#2516C2214yes—
158#2513C2212yes—
159#2512C2212yes—
160#2509C2212yes—
161#2508C2212yes—
162#2507C2212yes—
163#2506C2212yes—
164#2501C2212yes—
165#2500C2212yes—
166#2497C2212yes—
167#2497C2212yes—
168#2497C2212yes—
169#2496C2212yes—
170#2496C2212yes—
171#2494C2214yes—
172#2494C2212yes—
173#2494C2212yes—
174#2494C2212yes—
175#2491C2212yes—
176#2491C2212yes—
177#2491C2212yes—
178#2491C2212yes—
179#2490C2212yes—
180#2490C2214yes—
181#2489C2212yes—
182#2487C2212yes—
183#2485C2212yes—
184#2479C2214yes—
185#2477C2214yes—
186#2474C2214yes—
187#2470C2214yes—
188#2469C2214yes—
189#2458C2214yes—
190#2458C2214yes—
191#2458C2214yes—
192#2454C2212yes—
193#2453C2212yes—
194#2452C2212yes—
195#2452C2212yes—
196#2448C2214yes—
197#2448C2212yes—
198#2445C2212yes—
199#2440C2212yes—
200#2440C2212yes—
201#2440C2212yes—
202#2439C2212yes—
203#2430C2214yes—
204#2428C2212yes—
205#2427C2212yes—
206#2426C2214yes—
207#2426C2214yes—
208#2422C2212yes—
209#2422C2212yes—
210#2421C2214yes—
211#2420C2212yes—
212#2420C2212yes—
213#2416C2212yes—
214#2416C2212yes—
215#2416C2212yes—
216#2415C2211yescharacteristic
217#2415C2211yescharacteristic
218#2414C2212yes—
219#2414C2211yescharacteristic
220#2414C2212yes—
221#2414C2212yes—
222#2414C2211yescharacteristic
223#2407C2212yes—
224#2407C2212yes—
225#2399C2214yes—
226#2395C2212yes—
227#2388C2212yes—
228#2373C2214yes—
229#2372C2214yes—
230#2369C2211yescharacteristic
231#2369C2211yescharacteristic
232#2366C2211yescharacteristic
233#2366C2211yescharacteristic
234#2363C2212yes—
235#2363C2212yes—
236#2363C2212yes—
237#2363C2212yes—
238#2363C2212yes—
239#2362C2212yes—
240#2355C2211yescharacteristic
241#2354C2211yescharacteristic
242#2354C2212yes—
243#2352C2212yes—
244Q8×C4⋊C4C2211yescharacteristic
245D4×C4⋊C4C2211yescharacteristic
246#2335C2214yes—
247#2331C2212yes—
248#2330C2212yes—
249#2324C2212yes—
250#2324C2212yes—
251#2324C2212yes—
252#2324C2212yes—
253#2324C2212yes—
254#2323C2212yes—
255#2320C2212yes—
256#2319C2212yes—
257#2319C2212yes—
258#2319C2212yes—
259#2318C2212yes—
260#2318C2212yes—
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2314C2211yescharacteristic
264#2314C2211yescharacteristic
265#2314C2211yescharacteristic
266#2314C2211yescharacteristic
267#2314C2212yes—
268#2311C2211yescharacteristic
269#2311C2211yescharacteristic
270C4×C4⋊Q8C2212yes—
271C4×C4⋊Q8C2212yes—
272C4×#125C2212yes—
273C4×#124C2212yes—
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2211yescharacteristic
276C4×#121C2211yescharacteristic
277C4×#121C2211yescharacteristic
278#2297C2214yes—
279#2296C2212yes—
280#2295C2212yes—
281#2293C2212yes—
282#2293C2212yes—
283#2293C2212yes—
284#2293C2212yes—
285#2293C2212yes—
286#2290C2212yes—
287#2290C2212yes—
288#2285C2211yescharacteristic
289#2285C2211yescharacteristic
290#2285C2211yescharacteristic
291#2283C2211yescharacteristic
292#2283C2211yescharacteristic
293#2274C2212yes—
294C42×D4C2212yes—
295C42×D4C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301#542—48no—
302#540—48no—
303#533—48no—
304#532—28no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×#127C2311yescharacteristic
311C2×#127C2312yes—
312#529—28no—
313C2×#126C2312yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#124C2312yes—
321C2×#124C2311yescharacteristic
322C2×#124C2312yes—
323C2×#124C2314yes—
324C2×#124C2314yes—
325C2×#124C2314yes—
326C2×#123C2312yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2314yes—
341C2×#121C2311yescharacteristic
342C2×#121C2312yes—
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345C2×#121C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2314yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×#121C2314yes—
359C4×#41—28no—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2314yes—
364C2×C4×Q8C2314yes—
365C2×C4×Q8C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×#117C2311yescharacteristic
384C2×#117C2311yescharacteristic
385C2×#117C2312yes—
386C2×#117C2311yescharacteristic
387C2×#117C2311yescharacteristic
388C2×#117C2311yescharacteristic
389C2×#117C2311yescharacteristic
390C2×#117C2311yescharacteristic
391C2×#117C2312yes—
392C2×#117C2312yes—
393C2×#117C2312yes—
394C2×#117C2312yes—
395C2×#117C2314yes—
396C22×C4⋊C4C2311yescharacteristic
397C22×C4⋊C4C2311yescharacteristic
398C22×C4⋊C4C2312yes—
399C22×C42C2311yescharacteristic
400C22×C42C2311yescharacteristic
401C22×C42C2312yes—
402C22×C42C2314yes—
403C22×C42C2311yescharacteristic
404#401C2314yes—
405#401C2314yes—
406#400C2312yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#399C2312yes—
422#399C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2312yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2312yes—
444#397C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#395C2314yes—
459#395C2312yes—
460#395C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#395C2314yes—
465#394C2312yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2312yes—
479#394C2312yes—
480#394C2312yes—
481#394C2312yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2314yes—
494#393C2314yes—
495#393C2314yes—
496#393C2312yes—
497#393C2314yes—
498#393C2314yes—
499#393C2314yes—
500#392C2314yes—
501#392C2312yes—
502#392C2312yes—
503#392C2312yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#391C2314yes—
509#391C2314yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2314yes—
514#391C2314yes—
515#391C2312yes—
516#391C2312yes—
517#391C2311yescharacteristic
518#391C2311yescharacteristic
519#391C2312yes—
520#391C2314yes—
521#391C2314yes—
522#390C2314yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2314yes—
533#390C2314yes—
534#390C2312yes—
535#390C2314yes—
536#390C2314yes—
537#390C2312yes—
538#390C2314yes—
539#390C2312yes—
540#390C2312yes—
541#390C2311yescharacteristic
542#390C2311yescharacteristic
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#390C2314yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2314yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2314yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2312yes—
575#389C2314yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2311yescharacteristic
580#389C2311yescharacteristic
581#389C2312yes—
582#389C2312yes—
583#389C2314yes—
584#389C2314yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2314yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2312yes—
663#387C2314yes—
664#386C2312yes—
665#386C2312yes—
666#386C2312yes—
667#386C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#386C2312yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2312yes—
689#385C2312yes—
690#385C2312yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2312yes—
698#385C2312yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#384C2312yes—
703#384C2312yes—
704#384C2312yes—
705#384C2311yescharacteristic
706#384C2311yescharacteristic
707#384C2311yescharacteristic
708#384C2311yescharacteristic
709#384C2312yes—
710#384C2311yescharacteristic
711#384C2311yescharacteristic
712#383C2312yes—
713#383C2312yes—
714#382C2312yes—
715#382C2311yescharacteristic
716#382C2312yes—
717#382C2312yes—
718#382C2314yes—
719#382C2311yescharacteristic
720#382C2311yescharacteristic
721#382C2311yescharacteristic
722#382C2314yes—
723#382C2312yes—
724#382C2312yes—
725#381C2312yes—
726#381C2312yes—
727#381C2314yes—
728#381C2314yes—
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#380C2311yescharacteristic
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2312yes—
736#380C2314yes—
737#380C2312yes—
738#380C2312yes—
739#380C2314yes—
740#380C2311yescharacteristic
741#380C2311yescharacteristic
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746#380C2311yescharacteristic
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2314yes—
751#380C2314yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809#376C2312yes—
810#376C2312yes—
811#376C2312yes—
812#376C2312yes—
813C2×#95C2312yes—
814C43C2312yes—
815C43C2312yes—
816C2×#41—24no—
817C2×#41—28no—
818C2×#41—42no—
819C2×#41—42no—
820C2×#41—82no—
821C2×#41—82no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2411yescharacteristic
824C22×Q8C2414yes—
825C22×Q8C2412yes—
826C22×Q8C2414yes—
827C22×D4C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2411yescharacteristic
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2414yes—
837C22×D4C2412yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2414yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2414yes—
853C23×C4C2414yes—
854C23×C4C2414yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C4⋊Q8—28no—
859C4⋊Q8—24no—
860C4⋊Q8—44no—
861C4⋊Q8—44no—
862C4⋊Q8—44no—
863#127—24no—
864#127—44no—
865#126—28no—
866#126—48no—
867#126—84no—
868#125—28no—
869#125—24no—
870#125—44no—
871#125—84no—
872#124—24no—
873#124—28no—
874#124—44no—
875#124—48no—
876#124—84no—
877#124—84no—
878#123—28no—
879#123—48no—
880#123—48no—
881#123—48no—
882#123—84no—
883C22⋊Q8—24no—
884C22⋊Q8—24no—
885C22⋊Q8—24no—
886C22⋊Q8—48no—
887C22⋊Q8—48no—
888C22⋊Q8—48no—
889C22⋊Q8—84no—
890C22⋊Q8—84no—
891C22⋊Q8—82no—
892C22⋊Q8—82no—
893#121—24no—
894#121—28no—
895#121—28no—
896#121—24no—
897#121—24no—
898#121—48no—
899#121—44no—
900#121—44no—
901#121—44no—
902#121—44no—
903#121—48no—
904#121—44no—
905#121—44no—
906#121—84no—
907#121—82no—
908#121—84no—
909#121—84no—
910#121—82no—
911C4×Q8—24no—
912C4×Q8—24no—
913C4×Q8—24no—
914C4×Q8—48no—
915C4×Q8—48no—
916C4×Q8—44no—
917C4×D4—24no—
918C4×D4—24no—
919C4×D4—24no—
920C4×D4—24no—
921C4×D4—28no—
922C4×D4—28no—
923C4×D4—28no—
924C4×D4—24no—
925C4×D4—24no—
926C4×D4—24no—
927C4×D4—28no—
928C4×D4—28no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—44no—
933C4×D4—44no—
934#117—24no—
935#117—24no—
936#117—24no—
937#117—24no—
938#117—24no—
939#117—28no—
940#117—44no—
941#117—44no—
942#117—42no—
943#117—42no—
944#117—44no—
945#117—44no—
946#117—84no—
947C2×C4⋊C4—44no—
948C2×C4⋊C4—42no—
949C2×C4⋊C4—42no—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C42—24no—
1081C2×C42—24no—
1082C2×C42—44no—
1083C2×C42—84no—
1084C2×C42#4118yes—
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2414yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2414yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2414yes—
1109C2×C42C2414yes—
1110C2×C42C2414yes—
1111C2×C42C2414yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182C24C2512yes—
1183C24C2511yescharacteristic
1184C24C2511yescharacteristic
1185C24C2514yes—
1186C24C2511yescharacteristic
1187#41—416no—
1188#41—816no—
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—24no—
1192C2×Q8—22no—
1193C2×Q8—28no—
1194C2×Q8—22no—
1195C2×Q8—41no—
1196C2×Q8—41no—
1197C2×Q8—44no—
1198C2×Q8—44no—
1199C2×Q8—44no—
1200C2×Q8—42no—
1201C2×Q8—42no—
1202C2×Q8—44no—
1203C2×Q8—44no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—24no—
1207C2×D4—28no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—22no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—22no—
1218C2×D4—24no—
1219C2×D4—24no—
1220C2×D4—24no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—42no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—24no—
1258C22×C4—28no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—28no—
1272C22×C4—28no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—42no—
1282C22×C4—42no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4C2×#4114yes—
1295C22×C4C2×#4114yes—
1296C22×C4C2×#4114yes—
1297C22×C4C2512yes—
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C22×C4C2514yes—
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2514yes—
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2514yes—
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—22no—
1338C4⋊C4—24no—
1339C4⋊C4—22no—
1340C4⋊C4—24no—
1341C4⋊C4—22no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—28no—
1345C4⋊C4—28no—
1346C4⋊C4—28no—
1347C4⋊C4—24no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—24no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—24no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—42no—
1387C4⋊C4—44no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4H(5,𝔽2)14yes—
1393C4⋊C42−1+414yes—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—24no—
1397C22⋊C4—22no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—28no—
1404C22⋊C4—28no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—28no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—28no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—44no—
1427C22⋊C4—42no—
1428C22⋊C4—44no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—42no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C42—22no—
1458C42—22no—
1459C42—22no—
1460C42—22no—
1461C42—22no—
1462C42—22no—
1463C42—24no—
1464C42—24no—
1465C42—24no—
1466C42—24no—
1467C42—24no—
1468C42—24no—
1469C42—24no—
1470C42—24no—
1471C42—24no—
1472C42—42no—
1473C42—42no—
1474C42—42no—
1475C42—42no—
1476C42—44no—
1477C42—44no—
1478C42—42no—
1479C42—42no—
1480C42—44no—
1481C42—44no—
1482C42—42no—
1483C42—42no—
1484C42—44no—
1485C42—44no—
1486C42C2×#4114yes—
1487C42C2×#4114yes—
1488C42C2×#4114yes—
1489C42C2×#4114yes—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—22no—
1497C23—21no—
1498C23—21no—
1499C23—24no—
1500C23—21no—
1501C23—24no—
1502C23—22no—
1503C23—21no—
1504C23—21no—
1505C23—24no—
1506C23—22no—
1507C23—21no—
1508C23—22no—
1509C23—24no—
1510C23—24no—
1511C23—21no—
1512C23—21no—
1513C23—22no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—22no—
1519C23—24no—
1520C23—21no—
1521C23—22no—
1522C23—24no—
1523C23—21no—
1524C23C22×#4112yes—
1525C23C2611yescharacteristic
1526Q8—44no—
1527Q8—44no—
1528Q8—88no—
1529Q8—84no—
1530Q8—88no—
1531D4—44no—
1532D4—44no—
1533D4—44no—
1534D4—48no—
1535D4—44no—
1536D4—48no—
1537D4—84no—
1538D4—84no—
1539D4—84no—
1540D4—84no—
1541D4—88no—
1542D4—164no—
1543D4—164no—
1544D4—164no—
1545D4—164no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—28no—
1559C2×C4—28no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—24no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—24no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—24no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—24no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—24no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—24no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—44no—
1627C2×C4—416no—
1628C2×C4—48no—
1629C2×C4—44no—
1630C2×C4—44no—
1631C2×C4—44no—
1632C2×C4—44no—
1633C2×C4—82no—
1634C2×C4—82no—
1635C2×C4—88no—
1636C2×C4—88no—
1637C2×C4—84no—
1638C2×C4—84no—
1639C2×C4—164no—
1640C2×C4C22×#4112yes—
1641C2×C4C22×#4112yes—
1642C2×C4C22×#4112yes—
1643C2×C4C22×#4112yes—
1644C2×C4C22×#4112yes—
1645C2×C4C22×#4112yes—
1646C2×C4C2×H(5,𝔽2)14yes—
1647C2×C4C2×H(5,𝔽2)12yes—
1648C2×C4C2×2−1+414yes—
1649C2×C4C2×2−1+412yes—
1650C2×C4#58512yes—
1651C2×C4#58512yes—
1652C22—22no—
1653C22—22no—
1654C22—22no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—42no—
1662C22—44no—
1663C22—44no—
1664C22—41no—
1665C22—41no—
1666C22—42no—
1667C22—44no—
1668C22—41no—
1669C22—42no—
1670C22—41no—
1671C22—42no—
1672C22—41no—
1673C22—44no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—42no—
1678C22—44no—
1679C22—44no—
1680C22—41no—
1681C22—42no—
1682C22—41no—
1683C22—41no—
1684C22—44no—
1685C22—42no—
1686C22—41no—
1687C22C23×#4111yescharacteristic
1688C22C22×H(5,𝔽2)11yescharacteristic
1689C22C22×2−1+411yescharacteristic
1690C22C2×#58511yescharacteristic
1691C22C2×#58511yescharacteristic
1692C22H(7,𝔽2)11yescharacteristic
1693C22H(7,𝔽2)11yescharacteristic
1694C4—22no—
1695C4—22no—
1696C4—22no—
1697C4—24no—
1698C4—22no—
1699C4—24no—
1700C4—41no—
1701C4—41no—
1702C4—42no—
1703C4—44no—
1704C4—41no—
1705C4—41no—
1706C4—42no—
1707C4—42no—
1708C4—42no—
1709C4—42no—
1710C4—44no—
1711C4—42no—
1712C4—42no—
1713C4—42no—
1714C4—44no—
1715C4—42no—
1716C4—42no—
1717C4—41no—
1718C4—41no—
1719C4—42no—
1720C4—42no—
1721C4—42no—
1722C4#345514yes—
1723C4#351114yes—
1724C2—42no—
1725C2—81no—
1726C2—81no—
1727C2—84no—
1728C2—82no—
1729C2C2×#345511yescharacteristic
1730C2C2×#351111yescharacteristic
1731C2#6285511yescharacteristic
1732C2#6292011yescharacteristic
1733C2#6292311yescharacteristic
1734C2#6295111yescharacteristic
1735C2#6295211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42989C2semidirect
2. #42946C2semidirect
3. #42925C2semidirect
4. #42923C2semidirect
5. #42031C2semidirect
6. #42030C2semidirect
7. #39608C2semidirect
8. #39607C2semidirect
9. #39352C2semidirect
10. #39351C2semidirect
11. #39158C2semidirect
12. #39157C2semidirect
13. #38942C2semidirect
14. #38941C2semidirect
15. #38131C2semidirect
16. #38129C2semidirect
17. #37711C2semidirect
18. #37710C2semidirect
19. #37573C2semidirect
20. #37572C2semidirect
21. #36817C2semidirect
22. #36811C2semidirect
23. #35598C2semidirect
24. #35597C2semidirect
25. #35292C2semidirect
26. #35238C2semidirect
27. #35207C2semidirect
28. #35196C2semidirect
29. #35175C2semidirect
30. #35169C2semidirect
31. #34938C2semidirect
32. #34911C2semidirect
33. #34242C2semidirect
34. #34155C2semidirect
35. #34060C2semidirect

Maximal subgroups

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

subgroupindex
#429892
#429462
#429252
#429232
#420312
#420302
#396082
#396072
#393522
#393512
#391582
#391572
#389422
#389412
#381312
#381292
#377112
#377102
#375732
#375722
#368172
#368112
#355982
#355972
#352922
#352382
#352072
#351962
#351752
#351692
#349382
#349112
#342422
#341552
#340602