Finite Group Databasebeta

← #8424411

Subgroups — #8424411

Order 512.

4649 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59459C212yesmaximal, complemented
2#59413C211yesmaximal, characteristic, complemented
3#59248C211yesmaximal, characteristic, complemented
4#59244C211yesmaximal, characteristic, complemented
5#59055C212yesmaximal, complemented
6#58895C214yesmaximal, complemented
7#58823C214yesmaximal, complemented
8#53045C212yesmaximal, complemented
9#53012C212yesmaximal, complemented
10#53008C212yesmaximal, complemented
11#52980C212yesmaximal, complemented
12#52438C214yesmaximal, complemented
13#42911C212yesmaximal, complemented
14#42607C212yesmaximal, complemented
15#42549C212yesmaximal, complemented
16#42542C212yesmaximal, complemented
17#40983C214yesmaximal, complemented
18#40196C212yesmaximal, complemented
19#40021C212yesmaximal, complemented
20#39599C211yesmaximal, characteristic, complemented
21#39596C211yesmaximal, characteristic, complemented
22#39343C211yesmaximal, characteristic, complemented
23#39196C212yesmaximal, complemented
24#39139C211yesmaximal, characteristic, complemented
25#37783C212yesmaximal, complemented
26#37640C211yesmaximal, characteristic, complemented
27#37622C211yesmaximal, characteristic, complemented
28#37573C212yesmaximal, complemented
29#37514C212yesmaximal, complemented
30#36590C211yesmaximal, characteristic, complemented
31#36477C211yesmaximal, characteristic, complemented
32#36210C211yesmaximal, characteristic, complemented
33#34929C211yesmaximal, characteristic, complemented
34#34929C211yesmaximal, characteristic, complemented
35#34889C211yesmaximal, characteristic
36C2×#557C2211yescharacteristic
37C2×#556C2212yes—
38C2×D4×Q8C2211yescharacteristic
39C2×#536C2212yes—
40C2×#533C2211yescharacteristic
41C2×#533C2212yes—
42C2×#533C2211yescharacteristic
43C2×#532C2211yescharacteristic
44C2×#529C2211yescharacteristic
45#2861C2212yes—
46#2859C2211yescharacteristic
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2855C2212yes—
50#2843C2214yes—
51#2838C2214yes—
52#2838C2214yes—
53#2838C2214yes—
54#2838C2214yes—
55#2837C2214yes—
56#2834C2214yes—
57#2833C2214yes—
58#2830C2214yes—
59#2829C2214yes—
60#2829C2214yes—
61#2821C2214yes—
62#2820C2214yes—
63#2814C2214yes—
64#2807C2214yes—
65#2803C2214yes—
66#2801C2214yes—
67#2798C2214yes—
68#2795C2214yes—
69#2792C2214yes—
70#2792C2214yes—
71#2789C2214yes—
72#2787C2214yes—
73#2759C2214yes—
74#2759C2214yes—
75#2758C2214yes—
76#2757C2214yes—
77#2757C2214yes—
78#2745C2214yes—
79#2731C2214yes—
80#2726C2214yes—
81#2721C2214yes—
82#2721C2214yes—
83#2721C2214yes—
84#2720C2214yes—
85#2718C2214yes—
86#2718C2214yes—
87#2715C2214yes—
88#2713C2214yes—
89#2710C2214yes—
90#2710C2214yes—
91#2707C2214yes—
92#2704C2214yes—
93#2704C2214yes—
94#2700C2214yes—
95#2694C2214yes—
96#2692C2214yes—
97#2687C2214yes—
98#2686C2214yes—
99#2674C2214yes—
100#2672C2214yes—
101#2664C2214yes—
102#2662C2214yes—
103#2654C2214yes—
104#2653C2214yes—
105#2653C2214yes—
106#2653C2214yes—
107#2649C2214yes—
108#2649C2214yes—
109#2632C2214yes—
110#2632C2214yes—
111#2629C2212yes—
112#2628C2212yes—
113#2628C2212yes—
114#2625C2212yes—
115#2624C2212yes—
116#2624C2212yes—
117#2624C2212yes—
118#2621C2212yes—
119#2621C2212yes—
120#2620C2214yes—
121#2616C2212yes—
122#2616C2212yes—
123#2616C2212yes—
124#2608C2214yes—
125#2599C2214yes—
126#2595C2214yes—
127#2594C2214yes—
128#2593C2214yes—
129#2592C2212yes—
130#2587C2214yes—
131#2586C2214yes—
132#2586C2214yes—
133#2584C2212yes—
134#2584C2212yes—
135#2582C2212yes—
136#2582C2211yescharacteristic
137#2582C2211yescharacteristic
138#2580C2212yes—
139#2570C2212yes—
140#2567C2212yes—
141#2567C2212yes—
142#2567C2214yes—
143#2566C2212yes—
144#2562C2212yes—
145#2559C2212yes—
146#2557C2212yes—
147#2556C2214yes—
148#2556C2214yes—
149#2556C2212yes—
150#2556C2212yes—
151#2552C2212yes—
152#2551C2212yes—
153#2551C2211yescharacteristic
154#2551C2211yescharacteristic
155#2550C2212yes—
156#2550C2211yescharacteristic
157#2548C2212yes—
158#2547C2212yes—
159#2546C2211yescharacteristic
160#2546C2212yes—
161#2546C2211yescharacteristic
162#2544C2211yescharacteristic
163#2542C2212yes—
164#2542C2212yes—
165#2542C2211yescharacteristic
166#2542C2211yescharacteristic
167#2542C2212yes—
168#2540C2211yescharacteristic
169#2538C2211yescharacteristic
170#2538C2211yescharacteristic
171#2538C2211yescharacteristic
172#2538C2211yescharacteristic
173#2538C2211yescharacteristic
174#2538C2211yescharacteristic
175#2536C2212yes—
176#2535C2211yescharacteristic
177#2525C2214yes—
178#2521C2212yes—
179#2514C2212yes—
180#2514C2212yes—
181#2514C2212yes—
182#2514C2212yes—
183#2513C2212yes—
184#2512C2212yes—
185#2509C2212yes—
186#2506C2212yes—
187#2506C2212yes—
188#2497C2212yes—
189#2496C2212yes—
190#2495C2212yes—
191#2494C2212yes—
192#2494C2212yes—
193#2494C2212yes—
194#2494C2212yes—
195#2494C2212yes—
196#2492C2211yescharacteristic
197#2492C2211yescharacteristic
198#2492C2212yes—
199#2492C2212yes—
200#2492C2212yes—
201#2492C2212yes—
202#2492C2211yescharacteristic
203#2491C2212yes—
204#2491C2212yes—
205#2490C2211yescharacteristic
206#2490C2212yes—
207#2485C2212yes—
208#2485C2212yes—
209#2479C2214yes—
210#2479C2214yes—
211#2474C2214yes—
212#2470C2214yes—
213#2469C2214yes—
214#2464C2212yes—
215#2458C2214yes—
216#2454C2212yes—
217#2452C2212yes—
218#2452C2212yes—
219#2451C2212yes—
220#2451C2214yes—
221#2451C2212yes—
222#2451C2214yes—
223#2448C2214yes—
224#2448C2212yes—
225#2445C2212yes—
226#2439C2212yes—
227#2434C2212yes—
228#2434C2212yes—
229#2429C2212yes—
230#2429C2212yes—
231#2429C2212yes—
232#2429C2212yes—
233#2429C2211yescharacteristic
234#2429C2211yescharacteristic
235#2429C2212yes—
236#2428C2211yescharacteristic
237#2427C2211yescharacteristic
238#2426C2214yes—
239#2423C2212yes—
240#2423C2212yes—
241#2423C2214yes—
242#2422C2212yes—
243#2421C2212yes—
244#2421C2212yes—
245#2421C2212yes—
246#2415C2212yes—
247#2415C2212yes—
248#2415C2212yes—
249#2415C2212yes—
250#2409C2212yes—
251#2409C2212yes—
252#2396C2212yes—
253#2396C2214yes—
254#2396C2212yes—
255#2395C2212yes—
256#2388C2212yes—
257#2370C2212yes—
258#2370C2212yes—
259#2367C2212yes—
260#2365C2212yes—
261#2365C2212yes—
262#2365C2212yes—
263#2362C2212yes—
264#2362C2212yes—
265#2357C2212yes—
266#2355C2211yescharacteristic
267#2355C2211yescharacteristic
268#2354C2211yescharacteristic
269Q8×C4⋊C4C2214yes—
270Q8×C4⋊C4C2211yescharacteristic
271#2347C2212yes—
272#2347C2212yes—
273Q8×C22⋊C4C2212yes—
274#2337C2214yes—
275#2324C2212yes—
276#2323C2212yes—
277#2323C2212yes—
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×C4⋊Q8C2212yes—
281C4×C4⋊Q8C2212yes—
282C4×#125C2212yes—
283C4×#124C2211yescharacteristic
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2212yes—
289C4×#121C2212yes—
290C4×#121C2211yescharacteristic
291#2297C2212yes—
292#2293C2212yes—
293#2293C2212yes—
294#2285C2211yescharacteristic
295#2285C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2312yes—
300C23×Q8C2312yes—
301#557—44no—
302#556—48no—
303D4×Q8—44no—
304#536—48no—
305#533—44no—
306#533—44no—
307#533—48no—
308#532—44no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2314yes—
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2311yescharacteristic
322C2×C4⋊Q8C2311yescharacteristic
323C2×#127C2311yescharacteristic
324#529—44no—
325C2×#126C2314yes—
326C2×#126C2312yes—
327C2×#126C2314yes—
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#125C2311yescharacteristic
331C2×#125C2312yes—
332C2×#125C2312yes—
333C2×#125C2314yes—
334C2×#125C2314yes—
335C2×#124C2311yescharacteristic
336C2×#124C2312yes—
337C2×#124C2311yescharacteristic
338C2×#124C2314yes—
339C2×#124C2314yes—
340C2×#124C2314yes—
341C2×#123C2312yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2311yescharacteristic
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2311yescharacteristic
363C2×C22⋊Q8C2314yes—
364C2×C22⋊Q8C2314yes—
365C2×C22⋊Q8C2312yes—
366C2×#121C2311yescharacteristic
367C2×#121C2312yes—
368C2×#121C2311yescharacteristic
369C2×#121C2311yescharacteristic
370C2×#121C2311yescharacteristic
371C2×#121C2312yes—
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2314yes—
381C2×C4×Q8C2314yes—
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2314yes—
385C2×C4×Q8C2312yes—
386C2×C4×Q8C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×#117C2312yes—
399C2×#117C2312yes—
400C2×#117C2312yes—
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2314yes—
405C22×C42C2311yescharacteristic
406C22×C42C2311yescharacteristic
407C22×C42C2312yes—
408#401C2314yes—
409#401C2314yes—
410#401C2314yes—
411#401C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2312yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2312yes—
424#400C2312yes—
425#399C2314yes—
426#399C2314yes—
427#399C2312yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2312yes—
434#399C2314yes—
435#399C2312yes—
436#399C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2312yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2312yes—
454#398C2314yes—
455#398C2312yes—
456#398C2312yes—
457#398C2312yes—
458#398C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2312yes—
470#397C2312yes—
471#397C2312yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2312yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2312yes—
490#396C2314yes—
491#396C2314yes—
492#396C2312yes—
493#396C2312yes—
494#395C2314yes—
495#395C2314yes—
496#395C2314yes—
497#395C2314yes—
498#395C2312yes—
499#395C2314yes—
500#395C2314yes—
501#395C2314yes—
502#395C2314yes—
503#395C2312yes—
504#395C2314yes—
505#395C2314yes—
506#395C2314yes—
507#395C2314yes—
508#395C2312yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2312yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2312yes—
525#394C2312yes—
526#394C2314yes—
527#394C2312yes—
528#394C2312yes—
529#393C2312yes—
530#393C2314yes—
531#393C2312yes—
532#393C2314yes—
533#393C2314yes—
534#393C2314yes—
535#393C2314yes—
536#393C2314yes—
537#393C2314yes—
538#393C2312yes—
539#392C2312yes—
540#392C2312yes—
541#392C2312yes—
542#391C2314yes—
543#391C2312yes—
544#391C2312yes—
545#391C2311yescharacteristic
546#391C2312yes—
547#391C2311yescharacteristic
548#391C2314yes—
549#391C2314yes—
550#391C2314yes—
551#391C2312yes—
552#391C2312yes—
553#391C2312yes—
554#391C2311yescharacteristic
555#391C2312yes—
556#391C2314yes—
557#391C2312yes—
558#391C2312yes—
559#391C2312yes—
560#391C2314yes—
561#391C2314yes—
562#391C2312yes—
563#391C2312yes—
564#391C2312yes—
565#391C2314yes—
566#391C2314yes—
567#391C2311yescharacteristic
568#391C2311yescharacteristic
569#391C2312yes—
570#391C2311yescharacteristic
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2314yes—
575#390C2312yes—
576#390C2312yes—
577#390C2311yescharacteristic
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2314yes—
583#390C2312yes—
584#390C2312yes—
585#390C2314yes—
586#390C2311yescharacteristic
587#390C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2314yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2311yescharacteristic
602#389C2312yes—
603#389C2312yes—
604#389C2314yes—
605#389C2314yes—
606#389C2314yes—
607#389C2312yes—
608#389C2314yes—
609#389C2312yes—
610#389C2311yescharacteristic
611#389C2314yes—
612#389C2314yes—
613#389C2312yes—
614#389C2314yes—
615#389C2314yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2311yescharacteristic
622#389C2314yes—
623#389C2312yes—
624#389C2314yes—
625#389C2312yes—
626#389C2314yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2314yes—
634#389C2311yescharacteristic
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2312yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2312yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2312yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2312yes—
673#388C2312yes—
674#388C2312yes—
675#388C2312yes—
676#388C2312yes—
677#388C2312yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2312yes—
702#387C2312yes—
703#387C2312yes—
704#386C2314yes—
705#386C2312yes—
706#386C2314yes—
707#386C2312yes—
708#386C2312yes—
709#386C2312yes—
710#386C2312yes—
711#386C2312yes—
712#386C2312yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2312yes—
721#385C2312yes—
722#385C2314yes—
723#385C2314yes—
724#385C2312yes—
725#384C2312yes—
726#384C2311yescharacteristic
727#384C2312yes—
728#384C2311yescharacteristic
729#384C2312yes—
730#384C2314yes—
731#384C2314yes—
732#384C2314yes—
733#384C2311yescharacteristic
734#384C2311yescharacteristic
735#383C2314yes—
736#383C2314yes—
737#383C2314yes—
738#382C2311yescharacteristic
739#382C2312yes—
740#382C2312yes—
741#382C2312yes—
742#382C2312yes—
743#382C2312yes—
744#381C2314yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2314yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2312yes—
760#380C2311yescharacteristic
761#380C2311yescharacteristic
762#380C2312yes—
763#380C2312yes—
764#380C2311yescharacteristic
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2311yescharacteristic
817C43C2312yes—
818C43C2311yescharacteristic
819C2×#41—44no—
820C2×#41—44no—
821C2×#41—44no—
822C22×Q8—44no—
823C22×Q8—44no—
824C22×Q8—44no—
825C22×Q8C2411yescharacteristic
826C22×Q8C2411yescharacteristic
827C22×Q8C2411yescharacteristic
828C22×Q8C2412yes—
829C22×Q8C2411yescharacteristic
830C22×Q8C2414yes—
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×Q8C2414yes—
834C22×Q8C2412yes—
835C22×D4C2411yescharacteristic
836C22×D4C2411yescharacteristic
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C23×C4C2414yes—
855C4⋊Q8—28no—
856C4⋊Q8—28no—
857C4⋊Q8—24no—
858C4⋊Q8—42no—
859C4⋊Q8—42no—
860C4⋊Q8—42no—
861C4⋊Q8—48no—
862C4⋊Q8—44no—
863C4⋊Q8—42no—
864C4⋊Q8—42no—
865C4⋊Q8—42no—
866C4⋊Q8—44no—
867C4⋊Q8—44no—
868C4⋊Q8—44no—
869#127—42no—
870#126—44no—
871#126—48no—
872#126—48no—
873#125—28no—
874#125—42no—
875#125—44no—
876#125—44no—
877#125—44no—
878#125—48no—
879#125—48no—
880#124—24no—
881#124—44no—
882#124—48no—
883#124—48no—
884#124—42no—
885#124—48no—
886#123—48no—
887#123—48no—
888#123—44no—
889C22⋊Q8—28no—
890C22⋊Q8—24no—
891C22⋊Q8—24no—
892C22⋊Q8—24no—
893C22⋊Q8—48no—
894C22⋊Q8—48no—
895C22⋊Q8—44no—
896C22⋊Q8—44no—
897C22⋊Q8—44no—
898C22⋊Q8—44no—
899C22⋊Q8—44no—
900C22⋊Q8—44no—
901C22⋊Q8—42no—
902C22⋊Q8—44no—
903C22⋊Q8—42no—
904C22⋊Q8—42no—
905C22⋊Q8—42no—
906C22⋊Q8—42no—
907C22⋊Q8—44no—
908C22⋊Q8—44no—
909C22⋊Q8—44no—
910C22⋊Q8—44no—
911#121—24no—
912#121—44no—
913#121—44no—
914#121—42no—
915#121—42no—
916#121—42no—
917C4×Q8—24no—
918C4×Q8—24no—
919C4×Q8—24no—
920C4×Q8—24no—
921C4×Q8—24no—
922C4×Q8—44no—
923C4×Q8—44no—
924C4×Q8—48no—
925C4×Q8—42no—
926C4×Q8—44no—
927C4×Q8—48no—
928C4×Q8—44no—
929C4×Q8—48no—
930C4×Q8—44no—
931C4×Q8—44no—
932C4×D4—24no—
933C4×D4—24no—
934C4×D4—24no—
935C4×D4—24no—
936C4×D4—24no—
937C4×D4—44no—
938C4×D4—42no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—42no—
943#117—28no—
944#117—44no—
945#117—44no—
946#117—44no—
947#117—44no—
948#117—48no—
949#117—44no—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C42—24no—
1083C2×C42—24no—
1084C2×C42—44no—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2412yes—
1103C2×C42C2414yes—
1104C2×C42C2414yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2414yes—
1107C2×C42C2414yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2414yes—
1111C2×C42C2414yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2411yescharacteristic
1115C2×C42C2412yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2411yescharacteristic
1121#95C2412yes—
1122#95C2412yes—
1123#95C2411yescharacteristic
1124#95C2411yescharacteristic
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2411yescharacteristic
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186C24C2511yescharacteristic
1187C24C2512yes—
1188C24C2511yescharacteristic
1189C24C2512yes—
1190#41—816no—
1191C2×Q8—22no—
1192C2×Q8—22no—
1193C2×Q8—22no—
1194C2×Q8—22no—
1195C2×Q8—22no—
1196C2×Q8—22no—
1197C2×Q8—28no—
1198C2×Q8—24no—
1199C2×Q8—24no—
1200C2×Q8—22no—
1201C2×Q8—22no—
1202C2×Q8—22no—
1203C2×Q8—28no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—24no—
1207C2×Q8—22no—
1208C2×Q8—24no—
1209C2×Q8—44no—
1210C2×Q8—42no—
1211C2×Q8—42no—
1212C2×Q8—44no—
1213C2×Q8—44no—
1214C2×Q8—42no—
1215C2×Q8—42no—
1216C2×Q8—42no—
1217C2×Q8—44no—
1218C2×Q8—42no—
1219C2×Q8—42no—
1220C2×Q8—42no—
1221C2×Q8—816no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—22no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—22no—
1260C22×C4—24no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—22no—
1271C22×C4—24no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—41no—
1275C22×C4—42no—
1276C22×C4—44no—
1277C22×C4—41no—
1278C22×C4—42no—
1279C22×C4—44no—
1280C22×C4—41no—
1281C22×C4—44no—
1282C22×C4C2511yescharacteristic
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2514yes—
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2514yes—
1292C22×C4C2514yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2514yes—
1301C22×C4C2512yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2512yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—28no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—24no—
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—28no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—28no—
1336C4⋊C4—28no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—28no—
1340C4⋊C4—24no—
1341C4⋊C4—22no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—22no—
1345C4⋊C4—24no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—41no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4H(5,𝔽2)14yes—
1391C4⋊C42−1+414yes—
1392C22⋊C4—28no—
1393C22⋊C4—28no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—22no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—42no—
1422C22⋊C4—44no—
1423C22⋊C4—41no—
1424C22⋊C4—41no—
1425C22⋊C4—41no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—44no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C42—22no—
1446C42—22no—
1447C42—22no—
1448C42—22no—
1449C42—22no—
1450C42—22no—
1451C42—22no—
1452C42—24no—
1453C42—28no—
1454C42—24no—
1455C42—24no—
1456C42—24no—
1457C42—24no—
1458C42—24no—
1459C42—22no—
1460C42—24no—
1461C42—28no—
1462C42—22no—
1463C42—42no—
1464C42—42no—
1465C42—41no—
1466C42—42no—
1467C42—44no—
1468C42—44no—
1469C42—41no—
1470C42—42no—
1471C42—44no—
1472C42—44no—
1473C42—44no—
1474C42—44no—
1475C42—42no—
1476C42H(5,𝔽2)14yes—
1477C422−1+414yes—
1478C23—21no—
1479C23—22no—
1480C23—21no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—22no—
1488C23—22no—
1489C23—21no—
1490C23—21no—
1491C23—22no—
1492C23—22no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—21no—
1502C23—21no—
1503C23—22no—
1504C23—22no—
1505C23—21no—
1506C23C2611yescharacteristic
1507Q8—416no—
1508Q8—44no—
1509Q8—44no—
1510Q8—48no—
1511Q8—44no—
1512Q8—44no—
1513Q8—84no—
1514Q8—84no—
1515Q8—88no—
1516Q8—84no—
1517D4—44no—
1518D4—44no—
1519D4—44no—
1520D4—84no—
1521D4—84no—
1522D4—84no—
1523D4—84no—
1524D4—84no—
1525D4—84no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—24no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—22no—
1560C2×C4—24no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—24no—
1576C2×C4—24no—
1577C2×C4—21no—
1578C2×C4—24no—
1579C2×C4—24no—
1580C2×C4—24no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—24no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—24no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—44no—
1608C2×C4—48no—
1609C2×C4—44no—
1610C2×C4—48no—
1611C2×C4—48no—
1612C2×C4—44no—
1613C2×C4—44no—
1614C2×C4—44no—
1615C2×C4—84no—
1616C2×C4—82no—
1617C2×C4—88no—
1618C2×C4C2×H(5,𝔽2)14yes—
1619C2×C4C2×H(5,𝔽2)12yes—
1620C2×C4C2×H(5,𝔽2)12yes—
1621C2×C4C2×H(5,𝔽2)12yes—
1622C2×C4C2×H(5,𝔽2)12yes—
1623C2×C4C2×2−1+412yes—
1624C2×C4C2×2−1+412yes—
1625C2×C4C2×2−1+414yes—
1626C2×C4C2×2−1+412yes—
1627C2×C4C2×2−1+412yes—
1628C2×C4#58512yes—
1629C2×C4#58512yes—
1630C22—42no—
1631C22—41no—
1632C22—42no—
1633C22—41no—
1634C22—42no—
1635C22—41no—
1636C22—42no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—42no—
1641C22—42no—
1642C22—41no—
1643C22—41no—
1644C22—42no—
1645C22—42no—
1646C22—42no—
1647C22—41no—
1648C22—41no—
1649C22—42no—
1650C22—41no—
1651C22—41no—
1652C22—42no—
1653C22—42no—
1654C22—41no—
1655C22—42no—
1656C22—42no—
1657C22—41no—
1658C22C22×H(5,𝔽2)11yescharacteristic
1659C22C22×H(5,𝔽2)11yescharacteristic
1660C22C22×2−1+411yescharacteristic
1661C22C22×2−1+411yescharacteristic
1662C22C2×#58511yescharacteristic
1663C22C2×#58511yescharacteristic
1664C222−1+611yescharacteristic
1665C4—24no—
1666C4—24no—
1667C4—22no—
1668C4—22no—
1669C4—22no—
1670C4—22no—
1671C4—41no—
1672C4—41no—
1673C4—42no—
1674C4—42no—
1675C4—42no—
1676C4—44no—
1677C4—42no—
1678C4—42no—
1679C4—41no—
1680C4—44no—
1681C4—41no—
1682C4—41no—
1683C4—42no—
1684C4—44no—
1685C4—44no—
1686C4—42no—
1687C4—41no—
1688C4—42no—
1689C4—42no—
1690C4—42no—
1691C4—42no—
1692C4—41no—
1693C4—42no—
1694C4#354614yes—
1695C4#355014yes—
1696C2—82no—
1697C2—81no—
1698C2—82no—
1699C2—81no—
1700C2C2×#354611yescharacteristic
1701C2C2×#355011yescharacteristic
1702C2#6276111yescharacteristic
1703C2#6291311yescharacteristic
1704C2#6292711yescharacteristic
1705C2#6295311yescharacteristic
1706C2#6301311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34889C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59459C2semidirect
2. #59413C2semidirect
3. #59248C2semidirect
4. #59244C2semidirect
5. #59055C2semidirect
6. #58895C2semidirect
7. #58823C2semidirect
8. #53045C2semidirect
9. #53012C2semidirect
10. #53008C2semidirect
11. #52980C2semidirect
12. #52438C2semidirect
13. #42911C2semidirect
14. #42607C2semidirect
15. #42549C2semidirect
16. #42542C2semidirect
17. #40983C2semidirect
18. #40196C2semidirect
19. #40021C2semidirect
20. #39599C2semidirect
21. #39596C2semidirect
22. #39343C2semidirect
23. #39196C2semidirect
24. #39139C2semidirect
25. #37783C2semidirect
26. #37640C2semidirect
27. #37622C2semidirect
28. #37573C2semidirect
29. #37514C2semidirect
30. #36590C2semidirect
31. #36477C2semidirect
32. #36210C2semidirect
33. #34929C2semidirect
34. #34929C2semidirect

Maximal subgroups

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

subgroupindex
#594592
#594132
#592482
#592442
#590552
#588952
#588232
#530452
#530122
#530082
#529802
#524382
#429112
#426072
#425492
#425422
#409832
#401962
#400212
#395992
#395962
#393432
#391962
#391392
#377832
#376402
#376222
#375732
#375142
#365902
#364772
#362102
#349292
#348892