Finite Group Databasebeta

← #8424472

Subgroups — #8424472

Order 512.

4827 conjugacy classes of subgroups.

The subgroup lattice has 1723 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59679C211yesmaximal, characteristic, complemented
2#59457C212yesmaximal, complemented
3#59080C211yesmaximal, characteristic, complemented
4#59061C212yesmaximal, complemented
5#59057C211yesmaximal, characteristic, complemented
6#55126C214yesmaximal, complemented
7#54754C214yesmaximal, complemented
8#53095C212yesmaximal, complemented
9#53041C212yesmaximal, complemented
10#53020C212yesmaximal, complemented
11#52983C212yesmaximal, complemented
12#52502C214yesmaximal, complemented
13#42800C212yesmaximal, complemented
14#42605C212yesmaximal, complemented
15#42561C212yesmaximal, complemented
16#42540C212yesmaximal, complemented
17#40933C214yesmaximal, complemented
18#40076C212yesmaximal, complemented
19#39973C212yesmaximal, complemented
20#39598C211yesmaximal, characteristic, complemented
21#39596C211yesmaximal, characteristic, complemented
22#39353C211yesmaximal, characteristic, complemented
23#39185C212yesmaximal, complemented
24#39157C211yesmaximal, characteristic, complemented
25#37774C212yesmaximal, complemented
26#37640C211yesmaximal, characteristic, complemented
27#37619C211yesmaximal, characteristic, complemented
28#37573C212yesmaximal, complemented
29#37494C212yesmaximal, complemented
30#36556C211yesmaximal, characteristic, complemented
31#36276C211yesmaximal, characteristic, complemented
32#36149C211yesmaximal, characteristic, complemented
33#34934C211yesmaximal, characteristic, complemented
34#34929C211yesmaximal, characteristic, complemented
35#34917C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×D4×Q8C2211yescharacteristic
38C2×#548C2212yes—
39C2×#541C2212yes—
40C2×#533C2211yescharacteristic
41C2×#533C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#532C2211yescharacteristic
44C2×#529C2212yes—
45#2864C2212yes—
46#2862C2211yescharacteristic
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2857C2212yes—
50#2841C2214yes—
51#2838C2214yes—
52#2838C2214yes—
53#2838C2214yes—
54#2832C2214yes—
55#2831C2214yes—
56#2829C2214yes—
57#2827C2214yes—
58#2827C2214yes—
59#2826C2214yes—
60#2823C2214yes—
61#2820C2214yes—
62#2820C2214yes—
63#2816C2214yes—
64#2800C2214yes—
65#2796C2214yes—
66#2796C2214yes—
67#2790C2214yes—
68#2780C2214yes—
69#2780C2214yes—
70#2771C2214yes—
71#2762C2214yes—
72#2746C2214yes—
73#2743C2214yes—
74#2742C2214yes—
75#2730C2214yes—
76#2729C2214yes—
77#2727C2214yes—
78#2723C2214yes—
79#2723C2214yes—
80#2722C2214yes—
81#2721C2214yes—
82#2720C2214yes—
83#2720C2214yes—
84#2719C2214yes—
85#2715C2214yes—
86#2714C2214yes—
87#2714C2214yes—
88#2711C2214yes—
89#2705C2214yes—
90#2704C2214yes—
91#2702C2214yes—
92#2698C2214yes—
93#2698C2214yes—
94#2696C2214yes—
95#2694C2214yes—
96#2692C2214yes—
97#2691C2214yes—
98#2689C2214yes—
99#2683C2214yes—
100#2676C2214yes—
101#2665C2214yes—
102#2662C2214yes—
103#2658C2212yes—
104#2654C2214yes—
105#2653C2214yes—
106#2649C2214yes—
107#2645C2212yes—
108#2643C2214yes—
109#2640C2212yes—
110#2639C2214yes—
111#2638C2214yes—
112#2636C2214yes—
113#2633C2214yes—
114#2629C2212yes—
115#2628C2212yes—
116#2625C2212yes—
117#2624C2212yes—
118#2624C2212yes—
119#2624C2212yes—
120#2624C2212yes—
121#2620C2212yes—
122#2620C2212yes—
123#2616C2214yes—
124#2588C2214yes—
125#2584C2212yes—
126#2580C2212yes—
127#2580C2212yes—
128#2580C2212yes—
129#2578C2212yes—
130#2576C2212yes—
131#2571C2212yes—
132#2570C2211yescharacteristic
133#2567C2211yescharacteristic
134#2567C2211yescharacteristic
135#2567C2212yes—
136#2566C2212yes—
137#2566C2214yes—
138#2566C2211yescharacteristic
139#2562C2211yescharacteristic
140#2556C2212yes—
141#2556C2212yes—
142#2554C2214yes—
143#2552C2212yes—
144#2552C2211yescharacteristic
145#2551C2211yescharacteristic
146#2550C2212yes—
147#2550C2212yes—
148#2549C2214yes—
149#2549C2214yes—
150#2548C2211yescharacteristic
151#2548C2211yescharacteristic
152#2548C2211yescharacteristic
153#2547C2212yes—
154#2546C2211yescharacteristic
155#2546C2211yescharacteristic
156#2546C2211yescharacteristic
157#2545C2212yes—
158#2542C2212yes—
159#2542C2211yescharacteristic
160#2542C2212yes—
161#2541C2211yescharacteristic
162#2540C2212yes—
163#2538C2212yes—
164#2538C2212yes—
165#2538C2212yes—
166#2538C2212yes—
167#2538C2211yescharacteristic
168#2538C2211yescharacteristic
169#2535C2211yescharacteristic
170#2535C2212yes—
171#2520C2214yes—
172#2515C2212yes—
173#2513C2212yes—
174#2512C2212yes—
175#2512C2212yes—
176#2512C2212yes—
177#2511C2212yes—
178#2509C2212yes—
179#2509C2212yes—
180#2508C2212yes—
181#2506C2212yes—
182#2506C2212yes—
183#2502C2212yes—
184#2497C2211yescharacteristic
185#2496C2212yes—
186#2496C2212yes—
187#2496C2212yes—
188#2496C2212yes—
189#2494C2211yescharacteristic
190#2494C2212yes—
191#2492C2212yes—
192#2492C2211yescharacteristic
193#2492C2211yescharacteristic
194#2491C2212yes—
195#2490C2212yes—
196#2490C2212yes—
197#2489C2212yes—
198#2479C2214yes—
199#2474C2214yes—
200#2467C2214yes—
201#2467C2214yes—
202#2466C2214yes—
203#2463C2214yes—
204#2457C2212yes—
205#2454C2214yes—
206#2454C2212yes—
207#2453C2212yes—
208#2452C2212yes—
209#2452C2214yes—
210#2452C2212yes—
211#2450C2214yes—
212#2450C2214yes—
213#2447C2212yes—
214#2447C2212yes—
215#2447C2212yes—
216#2446C2212yes—
217#2446C2212yes—
218#2445C2212yes—
219#2444C2214yes—
220#2444C2214yes—
221#2441C2214yes—
222#2440C2212yes—
223#2438C2214yes—
224#2436C2212yes—
225#2434C2212yes—
226#2434C2212yes—
227#2432C2212yes—
228#2432C2212yes—
229#2429C2212yes—
230#2429C2211yescharacteristic
231#2429C2211yescharacteristic
232#2428C2212yes—
233#2428C2212yes—
234#2427C2212yes—
235#2427C2212yes—
236#2427C2212yes—
237#2426C2212yes—
238#2426C2212yes—
239#2425C2214yes—
240#2422C2211yescharacteristic
241#2420C2212yes—
242#2420C2211yescharacteristic
243#2420C2212yes—
244#2419C2214yes—
245#2417C2212yes—
246#2416C2212yes—
247#2409C2212yes—
248#2407C2212yes—
249#2407C2212yes—
250#2407C2214yes—
251#2407C2212yes—
252#2401C2212yes—
253#2396C2212yes—
254#2396C2212yes—
255#2392C2214yes—
256#2392C2212yes—
257#2369C2211yescharacteristic
258#2367C2212yes—
259#2366C2212yes—
260#2366C2212yes—
261#2365C2212yes—
262#2365C2211yescharacteristic
263#2361C2212yes—
264#2357C2212yes—
265#2355C2211yescharacteristic
266#2355C2212yes—
267Q8×C4⋊C4C2211yescharacteristic
268#2349C2212yes—
269#2349C2212yes—
270#2349C2212yes—
271#2349C2214yes—
272#2339C2212yes—
273#2339C2212yes—
274#2330C2212yes—
275#2329C2214yes—
276#2324C2212yes—
277#2324C2212yes—
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2212yes—
280C4×#127C2212yes—
281C4×#127C2211yescharacteristic
282C4×#125C2211yescharacteristic
283C4×#125C2212yes—
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×#123C2212yes—
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic
289C4×#121C2212yes—
290C2×#391C2212yes—
291#2293C2212yes—
292#2293C2212yes—
293#2290C2212yes—
294#2285C2211yescharacteristic
295#2283C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×Q8C2312yes—
302#554—44no—
303D4×Q8—44no—
304#548—48no—
305#541—48no—
306#533—44no—
307#533—44no—
308#532—44no—
309#532—44no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2311yescharacteristic
321C2×#127C2312yes—
322C2×#127C2311yescharacteristic
323#529—48no—
324C2×#126C2314yes—
325C2×#126C2314yes—
326C2×#126C2314yes—
327C2×#126C2314yes—
328C2×#126C2314yes—
329C2×#125C2311yescharacteristic
330C2×#125C2312yes—
331C2×#125C2312yes—
332C2×#125C2314yes—
333C2×#125C2312yes—
334C2×#125C2312yes—
335C2×#125C2314yes—
336C2×#124C2312yes—
337C2×#124C2314yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#123C2314yes—
343C2×#123C2312yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2311yescharacteristic
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2314yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2314yes—
362C2×C22⋊Q8C2314yes—
363C2×#121C2311yescharacteristic
364C2×#121C2311yescharacteristic
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2312yes—
402C2×C4×D4C2314yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2314yes—
407C22×C4⋊C4C2312yes—
408C22×C42C2311yescharacteristic
409C22×C42C2311yescharacteristic
410C22×C42C2312yes—
411#401C2312yes—
412#401C2314yes—
413#400C2312yes—
414#400C2312yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2312yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2312yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2312yes—
430#399C2314yes—
431#399C2314yes—
432#399C2312yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2314yes—
440#399C2312yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2312yes—
447#398C2312yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2312yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2312yes—
457#398C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2312yes—
465#397C2312yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2312yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2312yes—
478#396C2314yes—
479#396C2312yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2312yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2312yes—
490#396C2312yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2312yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2312yes—
499#396C2312yes—
500#395C2314yes—
501#395C2314yes—
502#395C2314yes—
503#395C2314yes—
504#395C2314yes—
505#395C2314yes—
506#395C2314yes—
507#395C2312yes—
508#395C2314yes—
509#395C2312yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2312yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2312yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2312yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#393C2314yes—
533#393C2314yes—
534#393C2314yes—
535#393C2312yes—
536#393C2314yes—
537#393C2314yes—
538#393C2314yes—
539#393C2312yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2312yes—
545#391C2312yes—
546#391C2311yescharacteristic
547#391C2312yes—
548#391C2311yescharacteristic
549#391C2314yes—
550#391C2312yes—
551#391C2312yes—
552#391C2314yes—
553#391C2312yes—
554#391C2314yes—
555#391C2312yes—
556#391C2312yes—
557#391C2312yes—
558#391C2312yes—
559#391C2312yes—
560#391C2312yes—
561#391C2312yes—
562#391C2312yes—
563#391C2312yes—
564#391C2311yescharacteristic
565#391C2314yes—
566#391C2311yescharacteristic
567#390C2314yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2314yes—
574#390C2311yescharacteristic
575#390C2312yes—
576#390C2311yescharacteristic
577#390C2312yes—
578#390C2314yes—
579#390C2312yes—
580#390C2314yes—
581#390C2314yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2314yes—
589#390C2312yes—
590#390C2314yes—
591#390C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2311yescharacteristic
595#389C2311yescharacteristic
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2311yescharacteristic
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2311yescharacteristic
610#389C2314yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2314yes—
616#389C2314yes—
617#389C2314yes—
618#389C2311yescharacteristic
619#389C2312yes—
620#389C2314yes—
621#389C2314yes—
622#389C2312yes—
623#389C2314yes—
624#389C2314yes—
625#389C2312yes—
626#389C2314yes—
627#389C2312yes—
628#389C2312yes—
629#389C2311yescharacteristic
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2314yes—
637#388C2314yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2312yes—
650#388C2312yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2312yes—
655#388C2312yes—
656#388C2312yes—
657#387C2314yes—
658#387C2312yes—
659#387C2312yes—
660#387C2314yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2312yes—
686#386C2312yes—
687#386C2312yes—
688#386C2312yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2312yes—
697#386C2314yes—
698#386C2314yes—
699#385C2312yes—
700#385C2312yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2312yes—
720#385C2312yes—
721#385C2312yes—
722#384C2312yes—
723#384C2311yescharacteristic
724#384C2312yes—
725#384C2311yescharacteristic
726#384C2312yes—
727#384C2311yescharacteristic
728#384C2314yes—
729#384C2312yes—
730#384C2312yes—
731#384C2311yescharacteristic
732#383C2312yes—
733#382C2311yescharacteristic
734#382C2312yes—
735#382C2312yes—
736#382C2314yes—
737#382C2311yescharacteristic
738#382C2312yes—
739#382C2314yes—
740#382C2311yescharacteristic
741#382C2312yes—
742#381C2312yes—
743#381C2314yes—
744#381C2314yes—
745#381C2314yes—
746#381C2312yes—
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#380C2311yescharacteristic
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2314yes—
755#380C2314yes—
756#380C2312yes—
757#380C2312yes—
758#380C2314yes—
759#380C2314yes—
760#380C2314yes—
761#380C2314yes—
762#380C2314yes—
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#380C2311yescharacteristic
767#380C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813#376C2312yes—
814C2×#95C2314yes—
815C2×#95C2314yes—
816C2×#95C2314yes—
817C43C2311yescharacteristic
818C43C2312yes—
819C2×#41—44no—
820C2×#41—44no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—82no—
825C22×Q8—44no—
826C22×Q8—44no—
827C22×Q8—44no—
828C22×Q8C2411yescharacteristic
829C22×Q8C2411yescharacteristic
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×Q8C2412yes—
834C22×Q8C2412yes—
835C22×Q8C2414yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2414yes—
839C22×D4C2411yescharacteristic
840C22×D4C2411yescharacteristic
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C23×C4C2412yes—
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2414yes—
854C23×C4C2412yes—
855C23×C4C2414yes—
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2414yes—
859C23×C4C2414yes—
860C23×C4C2414yes—
861C4⋊Q8—24no—
862C4⋊Q8—24no—
863C4⋊Q8—42no—
864C4⋊Q8—42no—
865C4⋊Q8—44no—
866C4⋊Q8—42no—
867C4⋊Q8—44no—
868C4⋊Q8—42no—
869C4⋊Q8—42no—
870C4⋊Q8—44no—
871C4⋊Q8—44no—
872#127—28no—
873#127—24no—
874#126—48no—
875#126—48no—
876#126—48no—
877#126—84no—
878#126—84no—
879#125—28no—
880#125—24no—
881#125—44no—
882#125—44no—
883#125—48no—
884#125—44no—
885#125—48no—
886#124—48no—
887#124—44no—
888#124—44no—
889#124—44no—
890#124—44no—
891#124—44no—
892#123—44no—
893#123—48no—
894C22⋊Q8—24no—
895C22⋊Q8—24no—
896C22⋊Q8—48no—
897C22⋊Q8—48no—
898C22⋊Q8—48no—
899C22⋊Q8—44no—
900C22⋊Q8—44no—
901C22⋊Q8—48no—
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—84no—
911C22⋊Q8—84no—
912C22⋊Q8—82no—
913#121—24no—
914#121—24no—
915#121—28no—
916#121—48no—
917#121—44no—
918#121—44no—
919#121—44no—
920#121—44no—
921#121—44no—
922#121—84no—
923C4×Q8—24no—
924C4×Q8—28no—
925C4×Q8—24no—
926C4×Q8—24no—
927C4×Q8—24no—
928C4×Q8—44no—
929C4×Q8—44no—
930C4×Q8—42no—
931C4×Q8—44no—
932C4×D4—24no—
933C4×D4—24no—
934C4×D4—24no—
935C4×D4—24no—
936C4×D4—28no—
937C4×D4—44no—
938C4×D4—48no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—44no—
943C4×D4—48no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—42no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—48no—
950C4×D4—42no—
951C4×D4—84no—
952C4×D4—82no—
953#117—44no—
954#117—44no—
955#117—44no—
956#117—48no—
957C2×C4⋊C4—44no—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C42—24no—
1091C2×C42—24no—
1092C2×C42—44no—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2414yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2411yescharacteristic
1115C2×C42C2414yes—
1116C2×C42C2414yes—
1117C2×C42C2412yes—
1118C2×C42C2414yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123#95C2411yescharacteristic
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2411yescharacteristic
1139#95C2412yes—
1140#95C2412yes—
1141#95C2411yescharacteristic
1142#95C2411yescharacteristic
1143#95C2412yes—
1144#95C2411yescharacteristic
1145#95C2412yes—
1146#95C2412yes—
1147#95C2411yescharacteristic
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191C24C2511yescharacteristic
1192C24C2511yescharacteristic
1193C24C2514yes—
1194C24C2512yes—
1195#41—816no—
1196#41—816no—
1197C2×Q8—22no—
1198C2×Q8—22no—
1199C2×Q8—22no—
1200C2×Q8—22no—
1201C2×Q8—24no—
1202C2×Q8—22no—
1203C2×Q8—22no—
1204C2×Q8—24no—
1205C2×Q8—24no—
1206C2×Q8—22no—
1207C2×Q8—22no—
1208C2×Q8—22no—
1209C2×Q8—24no—
1210C2×Q8—24no—
1211C2×Q8—42no—
1212C2×Q8—42no—
1213C2×Q8—44no—
1214C2×Q8—44no—
1215C2×Q8—42no—
1216C2×Q8—42no—
1217C2×Q8—42no—
1218C2×Q8—42no—
1219C2×Q8—44no—
1220C2×Q8—42no—
1221C2×Q8—816no—
1222C2×D4—28no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—28no—
1226C2×D4—22no—
1227C2×D4—28no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—44no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—42no—
1250C2×D4—44no—
1251C2×D4—42no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D42−1+414yes—
1255C22×C4—24no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—24no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—24no—
1275C22×C4—28no—
1276C22×C4—28no—
1277C22×C4—41no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—41no—
1287C22×C4—44no—
1288C22×C4—42no—
1289C22×C4—41no—
1290C22×C4—44no—
1291C22×C4—42no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4C2512yes—
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2512yes—
1308C22×C4C2514yes—
1309C22×C4C2514yes—
1310C22×C4C2512yes—
1311C22×C4C2514yes—
1312C22×C4C2511yescharacteristic
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C22×C4C2512yes—
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C4⋊C4—22no—
1329C4⋊C4—24no—
1330C4⋊C4—28no—
1331C4⋊C4—22no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—28no—
1338C4⋊C4—28no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—22no—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—24no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—24no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—41no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—42no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—44no—
1401C4⋊C4—42no—
1402C4⋊C4—44no—
1403C4⋊C4H(5,𝔽2)14yes—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—28no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—28no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—24no—
1416C22⋊C4—22no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—41no—
1427C22⋊C4—41no—
1428C22⋊C4—44no—
1429C22⋊C4—41no—
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—44no—
1439C22⋊C4—42no—
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—44no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C42—22no—
1461C42—22no—
1462C42—22no—
1463C42—22no—
1464C42—22no—
1465C42—22no—
1466C42—22no—
1467C42—24no—
1468C42—24no—
1469C42—24no—
1470C42—24no—
1471C42—24no—
1472C42—24no—
1473C42—28no—
1474C42—22no—
1475C42—24no—
1476C42—22no—
1477C42—24no—
1478C42—42no—
1479C42—42no—
1480C42—41no—
1481C42—44no—
1482C42—41no—
1483C42—42no—
1484C42—42no—
1485C42—44no—
1486C42—44no—
1487C42—42no—
1488C42H(5,𝔽2)14yes—
1489C422−1+414yes—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—21no—
1497C23—21no—
1498C23—24no—
1499C23—21no—
1500C23—21no—
1501C23—24no—
1502C23—21no—
1503C23—21no—
1504C23—24no—
1505C23—21no—
1506C23—21no—
1507C23—24no—
1508C23—21no—
1509C23—21no—
1510C23—24no—
1511C23—24no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—24no—
1516C23—21no—
1517C23C2×2−1+414yes—
1518C23C2611yescharacteristic
1519Q8—44no—
1520Q8—44no—
1521Q8—44no—
1522Q8—48no—
1523Q8—84no—
1524Q8—84no—
1525Q8—84no—
1526Q8—88no—
1527D4—28no—
1528D4—416no—
1529D4—44no—
1530D4—48no—
1531D4—48no—
1532D4—48no—
1533D4—84no—
1534D4—84no—
1535D4—88no—
1536D4—88no—
1537D4—88no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—24no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—24no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—24no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—24no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—24no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—24no—
1620C2×C4—44no—
1621C2×C4—44no—
1622C2×C4—48no—
1623C2×C4—44no—
1624C2×C4—44no—
1625C2×C4—44no—
1626C2×C4—84no—
1627C2×C4—88no—
1628C2×C4—82no—
1629C2×C4—88no—
1630C2×C4—84no—
1631C2×C4—88no—
1632C2×C4—88no—
1633C2×C4—164no—
1634C2×C4C2×H(5,𝔽2)14yes—
1635C2×C4C2×H(5,𝔽2)12yes—
1636C2×C4C2×H(5,𝔽2)12yes—
1637C2×C4C2×H(5,𝔽2)12yes—
1638C2×C4C2×H(5,𝔽2)12yes—
1639C2×C4C2×2−1+412yes—
1640C2×C4C2×2−1+412yes—
1641C2×C4C2×2−1+412yes—
1642C2×C4C2×2−1+412yes—
1643C2×C4#58512yes—
1644C2×C4#58512yes—
1645C22—24no—
1646C22—24no—
1647C22—24no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—41no—
1653C22—41no—
1654C22—44no—
1655C22—41no—
1656C22—41no—
1657C22—44no—
1658C22—44no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—44no—
1664C22—44no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—44no—
1669C22—41no—
1670C22—41no—
1671C22—44no—
1672C22—41no—
1673C22C22×H(5,𝔽2)11yescharacteristic
1674C22C22×H(5,𝔽2)11yescharacteristic
1675C22C22×2−1+411yescharacteristic
1676C22C22×2−1+411yescharacteristic
1677C22C2×#58511yescharacteristic
1678C22C2×#58511yescharacteristic
1679C22H(7,𝔽2)11yescharacteristic
1680C4—24no—
1681C4—22no—
1682C4—22no—
1683C4—22no—
1684C4—22no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—42no—
1690C4—44no—
1691C4—42no—
1692C4—42no—
1693C4—42no—
1694C4—42no—
1695C4—41no—
1696C4—42no—
1697C4—42no—
1698C4—42no—
1699C4—42no—
1700C4—44no—
1701C4—44no—
1702C4—41no—
1703C4—42no—
1704C4—42no—
1705C4—42no—
1706C4—41no—
1707C4—42no—
1708C4—42no—
1709C4#354614yes—
1710C4#355214yes—
1711C2—44no—
1712C2—81no—
1713C2—81no—
1714C2—84no—
1715C2C2×#355211yescharacteristic
1716C2C2×#354611yescharacteristic
1717C2#6276111yescharacteristic
1718C2#6291711yescharacteristic
1719C2#6292411yescharacteristic
1720C2#6295111yescharacteristic
1721C2#6301311yescharacteristic
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. #59679C2semidirect
2. #59457C2semidirect
3. #59080C2semidirect
4. #59061C2semidirect
5. #59057C2semidirect
6. #55126C2semidirect
7. #54754C2semidirect
8. #53095C2semidirect
9. #53041C2semidirect
10. #53020C2semidirect
11. #52983C2semidirect
12. #52502C2semidirect
13. #42800C2semidirect
14. #42605C2semidirect
15. #42561C2semidirect
16. #42540C2semidirect
17. #40933C2semidirect
18. #40076C2semidirect
19. #39973C2semidirect
20. #39598C2semidirect
21. #39596C2semidirect
22. #39353C2semidirect
23. #39185C2semidirect
24. #39157C2semidirect
25. #37774C2semidirect
26. #37640C2semidirect
27. #37619C2semidirect
28. #37573C2semidirect
29. #37494C2semidirect
30. #36556C2semidirect
31. #36276C2semidirect
32. #36149C2semidirect
33. #34934C2semidirect
34. #34929C2semidirect
35. #34917C2semidirect

Maximal subgroups

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

subgroupindex
#596792
#594572
#590802
#590612
#590572
#551262
#547542
#530952
#530412
#530202
#529832
#525022
#428002
#426052
#425612
#425402
#409332
#400762
#399732
#395982
#395962
#393532
#391852
#391572
#377742
#376402
#376192
#375732
#374942
#365562
#362762
#361492
#349342
#349292
#349172