Finite Group Databasebeta

← #8425205

Subgroups — #8425205

Order 512.

4657 conjugacy classes of subgroups.

The subgroup lattice has 1653 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59821C211yesmaximal, characteristic, complemented
2#59647C211yesmaximal, characteristic, complemented
3#59646C211yesmaximal, characteristic, complemented
4#59504C212yesmaximal, complemented
5#59073C212yesmaximal, complemented
6#56784C214yesmaximal, complemented
7#55621C214yesmaximal, complemented
8#53123C212yesmaximal, complemented
9#53111C212yesmaximal, complemented
10#53105C212yesmaximal, complemented
11#53001C212yesmaximal, complemented
12#52354C214yesmaximal, complemented
13#42960C212yesmaximal, complemented
14#42846C212yesmaximal, complemented
15#42799C212yesmaximal, complemented
16#42588C212yesmaximal, complemented
17#40523C214yesmaximal, complemented
18#39753C211yesmaximal, characteristic, complemented
19#39409C212yesmaximal, complemented
20#39404C212yesmaximal, complemented
21#39377C211yesmaximal, characteristic, complemented
22#39192C211yesmaximal, characteristic, complemented
23#38965C211yesmaximal, characteristic, complemented
24#38262C212yesmaximal, complemented
25#37797C212yesmaximal, complemented
26#37626C211yesmaximal, characteristic
27#37625C211yesmaximal, characteristic, complemented
28#37591C212yesmaximal, complemented
29#37521C212yesmaximal, complemented
30#36559C211yesmaximal, characteristic, complemented
31#36464C211yesmaximal, characteristic, complemented
32#36447C211yesmaximal, characteristic, complemented
33#34934C211yesmaximal, characteristic, complemented
34#34902C211yesmaximal, characteristic, complemented
35#34893C211yesmaximal, characteristic, complemented
36C2×#556C2212yes—
37C2×#554C2212yes—
38C2×#542C2212yes—
39C2×#539C2214yes—
40C2×#529C2212yes—
41#2868C2211yescharacteristic
42#2859C2211yescharacteristic
43#2859C2211yescharacteristic
44#2859C2212yes—
45#2854C2212yes—
46#2838C2214yes—
47#2837C2214yes—
48#2836C2214yes—
49#2836C2214yes—
50#2836C2214yes—
51#2830C2214yes—
52#2829C2214yes—
53#2829C2214yes—
54#2829C2214yes—
55#2828C2214yes—
56#2827C2214yes—
57#2823C2214yes—
58#2817C2214yes—
59#2814C2214yes—
60#2803C2214yes—
61#2797C2214yes—
62#2795C2214yes—
63#2791C2214yes—
64#2781C2214yes—
65#2777C2214yes—
66#2775C2214yes—
67#2772C2214yes—
68#2768C2214yes—
69#2741C2214yes—
70#2738C2214yes—
71#2728C2214yes—
72#2727C2214yes—
73#2727C2214yes—
74#2725C2214yes—
75#2723C2214yes—
76#2723C2214yes—
77#2722C2214yes—
78#2720C2214yes—
79#2718C2214yes—
80#2713C2214yes—
81#2710C2214yes—
82#2707C2214yes—
83#2706C2214yes—
84#2706C2214yes—
85#2705C2214yes—
86#2704C2214yes—
87#2702C2214yes—
88#2702C2214yes—
89#2698C2214yes—
90#2696C2214yes—
91#2694C2214yes—
92#2693C2214yes—
93#2691C2214yes—
94#2683C2214yes—
95#2681C2214yes—
96#2674C2214yes—
97#2663C2214yes—
98#2662C2214yes—
99#2660C2212yes—
100#2653C2214yes—
101#2651C2214yes—
102#2649C2214yes—
103#2644C2212yes—
104#2641C2212yes—
105#2638C2214yes—
106#2635C2214yes—
107#2633C2214yes—
108#2630C2214yes—
109#2630C2214yes—
110#2629C2212yes—
111#2628C2212yes—
112#2625C2212yes—
113#2624C2212yes—
114#2624C2212yes—
115#2624C2212yes—
116#2620C2214yes—
117#2620C2212yes—
118#2619C2212yes—
119#2619C2212yes—
120#2602C2214yes—
121#2601C2214yes—
122#2600C2214yes—
123#2596C2212yes—
124#2594C2212yes—
125#2592C2211yescharacteristic
126#2589C2212yes—
127#2587C2212yes—
128#2584C2212yes—
129#2584C2211yescharacteristic
130#2581C2211yescharacteristic
131#2580C2211yescharacteristic
132#2577C2214yes—
133#2573C2214yes—
134#2571C2212yes—
135#2571C2211yescharacteristic
136#2570C2212yes—
137#2570C2211yescharacteristic
138#2566C2211yescharacteristic
139#2566C2212yes—
140#2566C2212yes—
141#2565C2212yes—
142#2563C2212yes—
143#2558C2214yes—
144#2556C2214yes—
145#2554C2214yes—
146#2553C2214yes—
147#2552C2211yescharacteristic
148#2552C2211yescharacteristic
149#2552C2212yes—
150#2552C2212yes—
151#2550C2211yescharacteristic
152#2550C2212yes—
153#2548C2212yes—
154#2548C2211yescharacteristic
155#2548C2211yescharacteristic
156#2545C2211yescharacteristic
157#2544C2212yes—
158#2542C2212yes—
159#2541C2211yescharacteristic
160#2541C2211yescharacteristic
161#2538C2211yescharacteristic
162#2538C2211yescharacteristic
163#2538C2212yes—
164#2538C2212yes—
165#2538C2212yes—
166#2538C2212yes—
167#2537C2211yescharacteristic
168#2525C2212yes—
169#2522C2212yes—
170#2518C2214yes—
171#2514C2211yescharacteristic
172#2513C2212yes—
173#2513C2212yes—
174#2513C2212yes—
175#2512C2212yes—
176#2512C2212yes—
177#2512C2211yescharacteristic
178#2512C2212yes—
179#2512C2212yes—
180#2509C2212yes—
181#2509C2211yescharacteristic
182#2508C2214yes—
183#2508C2212yes—
184#2507C2212yes—
185#2507C2212yes—
186#2507C2211yescharacteristic
187#2506C2212yes—
188#2506C2214yes—
189#2506C2212yes—
190#2504C2212yes—
191#2501C2212yes—
192#2500C2212yes—
193#2497C2212yes—
194#2496C2212yes—
195#2496C2212yes—
196#2495C2212yes—
197#2491C2212yes—
198#2490C2212yes—
199#2490C2212yes—
200#2490C2212yes—
201#2481C2214yes—
202#2479C2214yes—
203#2478C2214yes—
204#2470C2214yes—
205#2469C2212yes—
206#2468C2214yes—
207#2465C2212yes—
208#2461C2214yes—
209#2460C2214yes—
210#2455C2214yes—
211#2454C2212yes—
212#2454C2211yescharacteristic
213#2454C2212yes—
214#2452C2212yes—
215#2452C2212yes—
216#2452C2211yescharacteristic
217#2452C2212yes—
218#2452C2212yes—
219#2451C2212yes—
220#2449C2214yes—
221#2448C2211yescharacteristic
222#2448C2212yes—
223#2448C2212yes—
224#2447C2212yes—
225#2446C2211yescharacteristic
226#2445C2212yes—
227#2445C2212yes—
228#2445C2212yes—
229#2441C2212yes—
230#2440C2212yes—
231#2440C2212yes—
232#2429C2212yes—
233#2428C2212yes—
234#2428C2212yes—
235#2427C2212yes—
236#2426C2212yes—
237#2426C2212yes—
238#2423C2212yes—
239#2422C2212yes—
240#2422C2212yes—
241#2422C2212yes—
242#2422C2212yes—
243#2420C2212yes—
244#2420C2212yes—
245#2420C2212yes—
246#2415C2214yes—
247#2415C2214yes—
248#2401C2212yes—
249#2396C2212yes—
250#2396C2212yes—
251#2396C2212yes—
252#2392C2214yes—
253#2367C2212yes—
254#2366C2212yes—
255#2363C2212yes—
256#2363C2212yes—
257#2361C2212yes—
258#2355C2211yescharacteristic
259#2354C2211yescharacteristic
260#2354C2212yes—
261#2351C2212yes—
262Q8×C4⋊C4C2211yescharacteristic
263Q8×C4⋊C4C2212yes—
264Q8×C4⋊C4C2211yescharacteristic
265Q8×C4⋊C4C2211yescharacteristic
266D4×C4⋊C4C2211yescharacteristic
267D4×C4⋊C4C2212yes—
268D4×C4⋊C4C2212yes—
269#2347C2212yes—
270#2344C2214yes—
271#2331C2212yes—
272#2323C2212yes—
273#2316C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic
276C4×#127C2211yescharacteristic
277C4×#127C2212yes—
278C4×#127C2211yescharacteristic
279C4×#127C2211yescharacteristic
280C4×#125C2211yescharacteristic
281C4×#125C2211yescharacteristic
282C4×#125C2212yes—
283C4×#126C2212yes—
284C4×#124C2211yescharacteristic
285C4×#124C2211yescharacteristic
286C4×C22⋊Q8C2212yes—
287C4×C22⋊Q8C2212yes—
288C4×#121C2212yes—
289#2298C2212yes—
290#2296C2212yes—
291#2295C2211yescharacteristic
292#2293C2211yescharacteristic
293#2293C2211yescharacteristic
294#2293C2211yescharacteristic
295#2293C2212yes—
296C42×Q8C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×D4C2211yescharacteristic
299#556—48no—
300#554—48no—
301#542—48no—
302#539—416no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×#127C2311yescharacteristic
309C2×#127C2312yes—
310C2×#127C2312yes—
311#529—48no—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×#124C2312yes—
327C2×#124C2311yescharacteristic
328C2×#124C2311yescharacteristic
329C2×#124C2314yes—
330C2×#124C2312yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2314yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2314yes—
381C2×C4×D4C2312yes—
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2314yes—
386C2×#117C2314yes—
387C2×#117C2312yes—
388C22×C4⋊C4C2314yes—
389C22×C4⋊C4C2312yes—
390C22×C42C2312yes—
391#401C2312yes—
392#400C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2312yes—
402#400C2312yes—
403#400C2312yes—
404#400C2312yes—
405#400C2312yes—
406#399C2314yes—
407#399C2312yes—
408#399C2314yes—
409#399C2314yes—
410#399C2312yes—
411#399C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2312yes—
415#399C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2312yes—
419#398C2314yes—
420#398C2314yes—
421#398C2312yes—
422#398C2314yes—
423#398C2312yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2312yes—
435#398C2312yes—
436#398C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2312yes—
456#397C2312yes—
457#397C2314yes—
458#397C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2312yes—
462#396C2314yes—
463#396C2314yes—
464#396C2312yes—
465#396C2312yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2312yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2312yes—
477#396C2312yes—
478#396C2314yes—
479#396C2312yes—
480#396C2314yes—
481#396C2314yes—
482#395C2312yes—
483#395C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2312yes—
487#395C2314yes—
488#395C2312yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#393C2314yes—
515#393C2314yes—
516#393C2314yes—
517#393C2312yes—
518#393C2312yes—
519#393C2312yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#391C2311yescharacteristic
526#391C2312yes—
527#391C2311yescharacteristic
528#391C2311yescharacteristic
529#391C2312yes—
530#391C2311yescharacteristic
531#391C2314yes—
532#391C2314yes—
533#391C2312yes—
534#391C2311yescharacteristic
535#391C2311yescharacteristic
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2314yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2311yescharacteristic
550#390C2311yescharacteristic
551#390C2314yes—
552#390C2311yescharacteristic
553#390C2311yescharacteristic
554#390C2311yescharacteristic
555#390C2311yescharacteristic
556#390C2311yescharacteristic
557#390C2312yes—
558#390C2314yes—
559#390C2314yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2314yes—
566#390C2312yes—
567#390C2312yes—
568#390C2311yescharacteristic
569#390C2312yes—
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2311yescharacteristic
582#389C2311yescharacteristic
583#389C2312yes—
584#389C2314yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2314yes—
589#389C2312yes—
590#389C2314yes—
591#389C2312yes—
592#389C2312yes—
593#389C2314yes—
594#389C2312yes—
595#389C2314yes—
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#389C2312yes—
599#389C2312yes—
600#389C2314yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2312yes—
607#389C2312yes—
608#389C2314yes—
609#389C2314yes—
610#389C2312yes—
611#389C2312yes—
612#389C2314yes—
613#389C2312yes—
614#389C2314yes—
615#389C2312yes—
616#389C2312yes—
617#389C2314yes—
618#389C2314yes—
619#389C2314yes—
620#389C2311yescharacteristic
621#389C2312yes—
622#389C2311yescharacteristic
623#389C2312yes—
624#389C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2312yes—
628#388C2312yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2312yes—
633#388C2312yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2312yes—
648#388C2312yes—
649#388C2314yes—
650#388C2314yes—
651#388C2312yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2312yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2312yes—
663#388C2314yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2312yes—
677#387C2314yes—
678#387C2312yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2312yes—
684#387C2314yes—
685#387C2312yes—
686#387C2312yes—
687#387C2314yes—
688#387C2312yes—
689#387C2312yes—
690#387C2312yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#385C2314yes—
702#385C2312yes—
703#385C2312yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2312yes—
711#385C2312yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2312yes—
716#385C2314yes—
717#385C2312yes—
718#384C2311yescharacteristic
719#384C2311yescharacteristic
720#384C2311yescharacteristic
721#384C2312yes—
722#384C2311yescharacteristic
723#384C2311yescharacteristic
724#384C2312yes—
725#384C2312yes—
726#384C2314yes—
727#384C2312yes—
728#384C2312yes—
729#384C2312yes—
730#384C2312yes—
731#384C2312yes—
732#383C2312yes—
733#383C2314yes—
734#382C2311yescharacteristic
735#382C2312yes—
736#382C2311yescharacteristic
737#382C2312yes—
738#382C2312yes—
739#382C2312yes—
740#382C2311yescharacteristic
741#382C2312yes—
742#382C2311yescharacteristic
743#382C2314yes—
744#382C2314yes—
745#381C2314yes—
746#381C2314yes—
747#380C2314yes—
748#380C2314yes—
749#380C2314yes—
750#380C2314yes—
751#380C2312yes—
752#380C2314yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2314yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810#376C2312yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2414yes—
820C22×D4C2411yescharacteristic
821C22×D4C2412yes—
822C22×D4C2411yescharacteristic
823C22×D4C2412yes—
824C22×D4C2412yes—
825C22×D4C2414yes—
826C22×D4C2414yes—
827C22×D4C2414yes—
828C22×D4C2414yes—
829C22×D4C2414yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2414yes—
833C23×C4C2414yes—
834C23×C4C2414yes—
835C23×C4C2412yes—
836C23×C4C2414yes—
837C23×C4C2412yes—
838C4⋊Q8—24no—
839C4⋊Q8—42no—
840C4⋊Q8—44no—
841C4⋊Q8—44no—
842C4⋊Q8—44no—
843#127—24no—
844#127—44no—
845#127—44no—
846#126—28no—
847#126—48no—
848#126—48no—
849#126—48no—
850#126—48no—
851#126—48no—
852#125—44no—
853#125—42no—
854#125—42no—
855#125—44no—
856#125—48no—
857#125—44no—
858#125—44no—
859#125—48no—
860#124—28no—
861#124—24no—
862#124—48no—
863#124—42no—
864#124—44no—
865#123—48no—
866#123—48no—
867#123—48no—
868#123—48no—
869#123—48no—
870#123—48no—
871C22⋊Q8—28no—
872C22⋊Q8—28no—
873C22⋊Q8—48no—
874C22⋊Q8—48no—
875C22⋊Q8—48no—
876C22⋊Q8—48no—
877C22⋊Q8—48no—
878C22⋊Q8—44no—
879C22⋊Q8—48no—
880C22⋊Q8—48no—
881#121—48no—
882#121—44no—
883#121—44no—
884#121—44no—
885#121—44no—
886#121—44no—
887#121—44no—
888C4×Q8—24no—
889C4×Q8—28no—
890C4×Q8—24no—
891C4×Q8—24no—
892C4×Q8—24no—
893C4×Q8—42no—
894C4×Q8—42no—
895C4×Q8—44no—
896C4×Q8—44no—
897C4×Q8—42no—
898C4×Q8—44no—
899C4×D4—24no—
900C4×D4—24no—
901C4×D4—48no—
902C4×D4—44no—
903C4×D4—42no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—42no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—48no—
912C4×D4—44no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—48no—
916#117—44no—
917#117—44no—
918#117—44no—
919#117—48no—
920#117—48no—
921#117—44no—
922C2×C4⋊C4—216no—
923C2×C4⋊C4—44no—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C42—44no—
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2414yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2412yes—
1090C2×C42C2414yes—
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2411yescharacteristic
1123#95C2412yes—
1124#95C2411yescharacteristic
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2412yes—
1129#95C2412yes—
1130#95C2411yescharacteristic
1131#95C2412yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165C24C2512yes—
1166C24C2514yes—
1167C24C2512yes—
1168C2×Q8—22no—
1169C2×Q8—22no—
1170C2×Q8—24no—
1171C2×Q8—22no—
1172C2×Q8—22no—
1173C2×Q8—22no—
1174C2×Q8—22no—
1175C2×Q8—41no—
1176C2×Q8—41no—
1177C2×Q8—42no—
1178C2×Q8—42no—
1179C2×Q8—44no—
1180C2×Q8—44no—
1181C2×Q8—44no—
1182C2×Q8H(5,𝔽2)14yes—
1183C2×D4—22no—
1184C2×D4—24no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—24no—
1188C2×D4—24no—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—22no—
1192C2×D4—24no—
1193C2×D4—24no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—28no—
1220C22×C4—28no—
1221C22×C4—28no—
1222C22×C4—24no—
1223C22×C4—42no—
1224C22×C4—42no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—42no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2511yescharacteristic
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2511yescharacteristic
1254C22×C4C2511yescharacteristic
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2514yes—
1258C22×C4C2514yes—
1259C22×C4C2512yes—
1260C22×C4C2514yes—
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2512yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C4⋊C4—28no—
1270C4⋊C4—28no—
1271C4⋊C4—28no—
1272C4⋊C4—24no—
1273C4⋊C4—28no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—24no—
1277C4⋊C4—22no—
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—28no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—24no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—24no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—44no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—44no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—44no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4H(5,𝔽2)14yes—
1351C22⋊C4—28no—
1352C22⋊C4—24no—
1353C22⋊C4—28no—
1354C22⋊C4—28no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—44no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—44no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—44no—
1379C22⋊C4—42no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C42—22no—
1406C42—24no—
1407C42—24no—
1408C42—22no—
1409C42—24no—
1410C42—28no—
1411C42—22no—
1412C42—22no—
1413C42—22no—
1414C42—22no—
1415C42—24no—
1416C42—24no—
1417C42—24no—
1418C42—22no—
1419C42—22no—
1420C42—24no—
1421C42—24no—
1422C42—22no—
1423C42—22no—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—22no—
1429C42—42no—
1430C42—42no—
1431C42—41no—
1432C42—41no—
1433C42—41no—
1434C42—42no—
1435C42—44no—
1436C42—44no—
1437C42—44no—
1438C42—42no—
1439C42—44no—
1440C422−1+414yes—
1441C23—22no—
1442C23—24no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—24no—
1447C23—22no—
1448C23—22no—
1449C23—24no—
1450C23—22no—
1451C23—22no—
1452C23—24no—
1453C23—22no—
1454C23—24no—
1455C23—24no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—24no—
1462C23C2611yescharacteristic
1463Q8—28no—
1464Q8—44no—
1465Q8—44no—
1466Q8—84no—
1467Q8—164no—
1468D4—48no—
1469D4—44no—
1470D4—48no—
1471D4—44no—
1472D4—48no—
1473D4—88no—
1474D4—88no—
1475D4—88no—
1476D4—164no—
1477D4—164no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—24no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—24no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—24no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—48no—
1564C2×C4—48no—
1565C2×C4—88no—
1566C2×C4—84no—
1567C2×C4—88no—
1568C2×C4—88no—
1569C2×C4—84no—
1570C2×C4—164no—
1571C2×C4C2×H(5,𝔽2)14yes—
1572C2×C4C2×H(5,𝔽2)12yes—
1573C2×C4C2×H(5,𝔽2)12yes—
1574C2×C4C2×H(5,𝔽2)12yes—
1575C2×C4C2×H(5,𝔽2)12yes—
1576C2×C4C2×2−1+412yes—
1577C2×C4C2×2−1+412yes—
1578C2×C4C2×2−1+412yes—
1579C2×C4#58512yes—
1580C2×C4#58512yes—
1581C2×C4#58512yes—
1582C22—42no—
1583C22—44no—
1584C22—42no—
1585C22—42no—
1586C22—42no—
1587C22—44no—
1588C22—44no—
1589C22—42no—
1590C22—42no—
1591C22—44no—
1592C22—42no—
1593C22—42no—
1594C22—44no—
1595C22—42no—
1596C22—42no—
1597C22—42no—
1598C22—44no—
1599C22—42no—
1600C22—42no—
1601C22—44no—
1602C22—42no—
1603C22C22×H(5,𝔽2)11yescharacteristic
1604C22C22×H(5,𝔽2)11yescharacteristic
1605C22C22×2−1+411yescharacteristic
1606C22C2×#58511yescharacteristic
1607C22C2×#58511yescharacteristic
1608C22C2×#58511yescharacteristic
1609C222−1+611yescharacteristic
1610C4—24no—
1611C4—22no—
1612C4—22no—
1613C4—22no—
1614C4—22no—
1615C4—42no—
1616C4—42no—
1617C4—42no—
1618C4—44no—
1619C4—44no—
1620C4—42no—
1621C4—42no—
1622C4—41no—
1623C4—44no—
1624C4—42no—
1625C4—42no—
1626C4—41no—
1627C4—41no—
1628C4—42no—
1629C4—42no—
1630C4—42no—
1631C4—41no—
1632C4—41no—
1633C4—42no—
1634C4—41no—
1635C4—42no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—42no—
1640C4#355714yes—
1641C4#355914yes—
1642C2—82no—
1643C2—82no—
1644C2—84no—
1645C2C2×#355911yescharacteristic
1646C2C2×#355711yescharacteristic
1647C2#6275911yescharacteristic
1648C2#6291311yescharacteristic
1649C2#6292211yescharacteristic
1650C2#6296811yescharacteristic
1651C2#6301411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#37626C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59821C2semidirect
2. #59647C2semidirect
3. #59646C2semidirect
4. #59504C2semidirect
5. #59073C2semidirect
6. #56784C2semidirect
7. #55621C2semidirect
8. #53123C2semidirect
9. #53111C2semidirect
10. #53105C2semidirect
11. #53001C2semidirect
12. #52354C2semidirect
13. #42960C2semidirect
14. #42846C2semidirect
15. #42799C2semidirect
16. #42588C2semidirect
17. #40523C2semidirect
18. #39753C2semidirect
19. #39409C2semidirect
20. #39404C2semidirect
21. #39377C2semidirect
22. #39192C2semidirect
23. #38965C2semidirect
24. #38262C2semidirect
25. #37797C2semidirect
27. #37625C2semidirect
28. #37591C2semidirect
29. #37521C2semidirect
30. #36559C2semidirect
31. #36464C2semidirect
32. #36447C2semidirect
33. #34934C2semidirect
34. #34902C2semidirect
35. #34893C2semidirect

Maximal subgroups

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

subgroupindex
#598212
#596472
#596462
#595042
#590732
#567842
#556212
#531232
#531112
#531052
#530012
#523542
#429602
#428462
#427992
#425882
#405232
#397532
#394092
#394042
#393772
#391922
#389652
#382622
#377972
#376262
#376252
#375912
#375212
#365592
#364642
#364472
#349342
#349022
#348932