Finite Group Databasebeta

← #8464338

Subgroups — #8464338

Order 512.

4901 conjugacy classes of subgroups.

The subgroup lattice has 1760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59642C211yesmaximal, characteristic, complemented
2#59081C211yesmaximal, characteristic, complemented
3#59066C211yesmaximal, characteristic, complemented
4#57638C214yesmaximal, complemented
5#54972C214yesmaximal, complemented
6#53902C214yesmaximal, complemented
7#53084C212yesmaximal, complemented
8#53046C212yesmaximal, complemented
9#48188C214yesmaximal, complemented
10#46015C212yesmaximal, complemented
11#45603C212yesmaximal, complemented
12#45285C212yesmaximal, complemented
13#45243C212yesmaximal, complemented
14#42916C212yesmaximal, complemented
15#42895C212yesmaximal, complemented
16#42839C212yesmaximal, complemented
17#42590C212yesmaximal, complemented
18#40218C212yesmaximal, complemented
19#40129C212yesmaximal, complemented
20#39674C212yesmaximal, complemented
21#39437C212yesmaximal, complemented
22#39341C211yesmaximal, characteristic, complemented
23#39201C211yesmaximal, characteristic, complemented
24#39147C211yesmaximal, characteristic, complemented
25#38932C211yesmaximal, characteristic, complemented
26#37634C211yesmaximal, characteristic, complemented
27#37336C212yesmaximal, complemented
28#37325C212yesmaximal, complemented
29#36457C211yesmaximal, characteristic, complemented
30#36456C211yesmaximal, characteristic, complemented
31#36150C211yesmaximal, characteristic, complemented
32#35209C211yesmaximal, characteristic, complemented
33#35190C211yesmaximal, characteristic, complemented
34#34945C211yesmaximal, characteristic, complemented
35#34715C211yesmaximal, characteristic, complemented
36C2×Q82C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×#547C2212yes—
39C2×#541C2212yes—
40C2×#537C2212yes—
41C2×#533C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#532C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45#2860C2212yes—
46#2859C2212yes—
47#2858C2211yescharacteristic
48#2858C2212yes—
49#2857C2211yescharacteristic
50#2857C2212yes—
51#2856C2211yescharacteristic
52#2850C2212yes—
53#2850C2212yes—
54#2832C2214yes—
55#2831C2214yes—
56#2830C2214yes—
57#2828C2214yes—
58#2824C2214yes—
59#2819C2214yes—
60#2816C2214yes—
61#2814C2214yes—
62#2808C2214yes—
63#2807C2214yes—
64#2803C2214yes—
65#2803C2214yes—
66#2788C2214yes—
67#2781C2214yes—
68#2779C2214yes—
69#2778C2214yes—
70#2770C2214yes—
71#2768C2214yes—
72#2768C2214yes—
73#2764C2214yes—
74#2763C2214yes—
75#2759C2214yes—
76#2757C2214yes—
77#2756C2214yes—
78#2753C2214yes—
79#2750C2214yes—
80#2733C2214yes—
81#2730C2214yes—
82#2729C2214yes—
83#2714C2214yes—
84#2712C2214yes—
85#2712C2214yes—
86#2711C2214yes—
87#2711C2214yes—
88#2710C2214yes—
89#2710C2214yes—
90#2710C2214yes—
91#2710C2214yes—
92#2708C2214yes—
93#2707C2214yes—
94#2705C2214yes—
95#2701C2214yes—
96#2701C2214yes—
97#2701C2214yes—
98#2696C2214yes—
99#2691C2214yes—
100#2691C2214yes—
101#2690C2214yes—
102#2687C2214yes—
103#2687C2214yes—
104#2686C2214yes—
105#2682C2214yes—
106#2682C2214yes—
107#2676C2214yes—
108#2675C2214yes—
109#2672C2214yes—
110#2671C2214yes—
111#2664C2214yes—
112#2661C2214yes—
113#2661C2214yes—
114#2660C2212yes—
115#2653C2214yes—
116#2648C2214yes—
117#2647C2212yes—
118#2644C2212yes—
119#2641C2212yes—
120#2635C2214yes—
121#2632C2214yes—
122#2624C2212yes—
123#2618C2214yes—
124#2616C2212yes—
125#2616C2212yes—
126#2615C2212yes—
127#2598C2214yes—
128#2593C2214yes—
129#2589C2214yes—
130#2589C2214yes—
131#2583C2214yes—
132#2582C2212yes—
133#2580C2212yes—
134#2580C2212yes—
135#2576C2214yes—
136#2573C2212yes—
137#2573C2212yes—
138#2571C2211yescharacteristic
139#2570C2212yes—
140#2568C2211yescharacteristic
141#2568C2211yescharacteristic
142#2566C2212yes—
143#2563C2211yescharacteristic
144#2563C2211yescharacteristic
145#2563C2212yes—
146#2563C2212yes—
147#2562C2212yes—
148#2559C2214yes—
149#2559C2214yes—
150#2558C2214yes—
151#2556C2214yes—
152#2554C2214yes—
153#2552C2211yescharacteristic
154#2550C2212yes—
155#2548C2212yes—
156#2548C2211yescharacteristic
157#2548C2212yes—
158#2547C2211yescharacteristic
159#2546C2211yescharacteristic
160#2542C2211yescharacteristic
161#2542C2211yescharacteristic
162#2541C2211yescharacteristic
163#2541C2212yes—
164#2540C2212yes—
165#2538C2211yescharacteristic
166#2538C2212yes—
167#2538C2211yescharacteristic
168#2536C2212yes—
169#2536C2212yes—
170#2519C2214yes—
171#2514C2212yes—
172#2513C2212yes—
173#2513C2212yes—
174#2512C2212yes—
175#2506C2212yes—
176#2502C2212yes—
177#2500C2212yes—
178#2500C2212yes—
179#2500C2212yes—
180#2495C2212yes—
181#2495C2212yes—
182#2494C2211yescharacteristic
183#2494C2211yescharacteristic
184#2492C2212yes—
185#2492C2212yes—
186#2491C2212yes—
187#2491C2212yes—
188#2491C2214yes—
189#2491C2214yes—
190#2491C2212yes—
191#2490C2212yes—
192#2490C2214yes—
193#2490C2212yes—
194#2489C2212yes—
195#2486C2212yes—
196#2481C2214yes—
197#2476C2212yes—
198#2474C2212yes—
199#2473C2214yes—
200#2459C2212yes—
201#2456C2212yes—
202#2454C2212yes—
203#2453C2212yes—
204#2452C2212yes—
205#2452C2212yes—
206#2452C2214yes—
207#2451C2212yes—
208#2451C2211yescharacteristic
209#2448C2212yes—
210#2447C2212yes—
211#2446C2214yes—
212#2445C2212yes—
213#2445C2211yescharacteristic
214#2445C2212yes—
215#2443C2214yes—
216#2442C2212yes—
217#2439C2214yes—
218#2439C2211yescharacteristic
219#2439C2212yes—
220#2439C2212yes—
221#2432C2212yes—
222#2431C2212yes—
223#2431C2211yescharacteristic
224#2429C2212yes—
225#2429C2212yes—
226#2428C2212yes—
227#2428C2212yes—
228#2428C2212yes—
229#2427C2212yes—
230#2427C2212yes—
231#2426C2212yes—
232#2426C2212yes—
233#2426C2211yescharacteristic
234#2426C2212yes—
235#2423C2212yes—
236#2422C2212yes—
237#2422C2212yes—
238#2422C2212yes—
239#2422C2212yes—
240#2422C2212yes—
241#2421C2211yescharacteristic
242#2421C2211yescharacteristic
243#2420C2211yescharacteristic
244#2416C2212yes—
245#2414C2212yes—
246#2414C2211yescharacteristic
247#2407C2212yes—
248#2407C2212yes—
249#2407C2212yes—
250#2407C2212yes—
251#2407C2212yes—
252#2407C2211yescharacteristic
253#2401C2212yes—
254#2401C2212yes—
255#2392C2212yes—
256#2388C2212yes—
257#2379C2214yes—
258#2369C2211yescharacteristic
259#2367C2212yes—
260#2367C2212yes—
261#2366C2211yescharacteristic
262#2365C2212yes—
263#2363C2212yes—
264#2362C2212yes—
265#2360C2212yes—
266#2351C2212yes—
267Q8×C4⋊C4C2211yescharacteristic
268D4×C4⋊C4C2211yescharacteristic
269D4×C4⋊C4C2212yes—
270#2341C2212yes—
271#2341C2212yes—
272#2341C2212yes—
273#2341C2212yes—
274#2337C2214yes—
275#2328C2212yes—
276#2326C2212yes—
277#2326C2212yes—
278#2324C2212yes—
279#2323C2212yes—
280#2319C2212yes—
281C4×C4⋊Q8C2211yescharacteristic
282C4×C4⋊Q8C2211yescharacteristic
283C4×#124C2211yescharacteristic
284C4×#124C2212yes—
285C4×#124C2212yes—
286C4×C22⋊Q8C2212yes—
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2211yescharacteristic
290C4×#123C2212yes—
291C4×#121C2211yescharacteristic
292#2297C2212yes—
293#2295C2212yes—
294#2293C2211yescharacteristic
295#2283C2211yescharacteristic
296#2283C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303Q82—44no—
304#550—44no—
305#547—48no—
306#541—48no—
307#537—48no—
308#533—44no—
309#532—44no—
310#532—44no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2314yes—
319C2×#127C2311yescharacteristic
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2311yescharacteristic
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#125C2312yes—
326C2×#125C2314yes—
327C2×#125C2312yes—
328C2×#125C2314yes—
329C2×#124C2312yes—
330C2×#124C2311yescharacteristic
331C2×#124C2312yes—
332C2×#124C2314yes—
333C2×#124C2314yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2314yes—
339C2×#123C2314yes—
340C2×#123C2312yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2314yes—
365C2×#121C2312yes—
366C2×#121C2311yescharacteristic
367C2×#121C2312yes—
368C2×#121C2311yescharacteristic
369C2×#121C2311yescharacteristic
370C2×#121C2314yes—
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×#121C2314yes—
374C2×#121C2312yes—
375C2×#121C2314yes—
376C4×#41—44no—
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2312yes—
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2312yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2312yes—
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2311yescharacteristic
409C22×C4⋊C4C2314yes—
410C22×C4⋊C4C2312yes—
411C22×C42C2311yescharacteristic
412C22×C42C2311yescharacteristic
413C22×C42C2312yes—
414#401C2312yes—
415#401C2312yes—
416#400C2314yes—
417#400C2312yes—
418#400C2312yes—
419#400C2314yes—
420#400C2314yes—
421#400C2312yes—
422#400C2312yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2312yes—
428#400C2312yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2312yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#397C2312yes—
448#397C2314yes—
449#397C2312yes—
450#397C2312yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2312yes—
460#397C2314yes—
461#397C2314yes—
462#397C2312yes—
463#397C2312yes—
464#397C2312yes—
465#396C2314yes—
466#396C2314yes—
467#396C2312yes—
468#396C2312yes—
469#396C2312yes—
470#396C2314yes—
471#396C2312yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2312yes—
481#395C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2312yes—
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#394C2312yes—
506#394C2312yes—
507#394C2312yes—
508#394C2312yes—
509#394C2312yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2314yes—
519#393C2314yes—
520#393C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2314yes—
524#393C2314yes—
525#393C2312yes—
526#393C2314yes—
527#392C2312yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2312yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2312yes—
538#392C2312yes—
539#392C2314yes—
540#391C2312yes—
541#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2312yes—
547#391C2311yescharacteristic
548#391C2311yescharacteristic
549#391C2314yes—
550#391C2314yes—
551#391C2312yes—
552#391C2311yescharacteristic
553#391C2311yescharacteristic
554#391C2314yes—
555#391C2312yes—
556#391C2314yes—
557#391C2314yes—
558#391C2312yes—
559#391C2312yes—
560#391C2312yes—
561#390C2314yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2314yes—
569#390C2311yescharacteristic
570#390C2312yes—
571#390C2314yes—
572#390C2311yescharacteristic
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2314yes—
579#390C2312yes—
580#390C2312yes—
581#390C2314yes—
582#390C2314yes—
583#390C2312yes—
584#390C2314yes—
585#390C2314yes—
586#390C2314yes—
587#390C2312yes—
588#390C2311yescharacteristic
589#390C2314yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2311yescharacteristic
595#390C2314yes—
596#390C2312yes—
597#389C2312yes—
598#389C2311yescharacteristic
599#389C2312yes—
600#389C2311yescharacteristic
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2314yes—
610#389C2312yes—
611#389C2311yescharacteristic
612#389C2312yes—
613#389C2314yes—
614#389C2312yes—
615#389C2314yes—
616#389C2314yes—
617#389C2314yes—
618#389C2314yes—
619#389C2312yes—
620#389C2314yes—
621#389C2312yes—
622#389C2312yes—
623#389C2311yescharacteristic
624#389C2312yes—
625#389C2314yes—
626#389C2312yes—
627#389C2311yescharacteristic
628#389C2311yescharacteristic
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2312yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2312yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2312yes—
663#388C2312yes—
664#388C2312yes—
665#388C2312yes—
666#388C2312yes—
667#388C2314yes—
668#388C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2314yes—
678#387C2312yes—
679#387C2314yes—
680#387C2312yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2312yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2312yes—
699#386C2312yes—
700#386C2312yes—
701#386C2312yes—
702#386C2312yes—
703#386C2312yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2312yes—
708#385C2312yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2312yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2312yes—
726#384C2311yescharacteristic
727#384C2311yescharacteristic
728#384C2312yes—
729#384C2312yes—
730#384C2312yes—
731#384C2312yes—
732#383C2312yes—
733#383C2312yes—
734#383C2314yes—
735#382C2311yescharacteristic
736#382C2312yes—
737#382C2314yes—
738#382C2312yes—
739#382C2314yes—
740#382C2311yescharacteristic
741#382C2312yes—
742#382C2311yescharacteristic
743#382C2311yescharacteristic
744#382C2311yescharacteristic
745#382C2312yes—
746#381C2312yes—
747#381C2312yes—
748#381C2314yes—
749#381C2312yes—
750#380C2311yescharacteristic
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2311yescharacteristic
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2314yes—
760#380C2314yes—
761#380C2314yes—
762#380C2312yes—
763#380C2314yes—
764#380C2314yes—
765#380C2314yes—
766#380C2311yescharacteristic
767#380C2311yescharacteristic
768#380C2311yescharacteristic
769#380C2311yescharacteristic
770#380C2311yescharacteristic
771#380C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815#376C2312yes—
816#376C2312yes—
817C43C2311yescharacteristic
818C43C2312yes—
819C2×#41—28no—
820C2×#41—24no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—42no—
825C2×#41—42no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C22×Q8C2412yes—
832C22×Q8C2411yescharacteristic
833C22×Q8C2411yescharacteristic
834C22×Q8C2412yes—
835C22×Q8C2412yes—
836C22×Q8C2412yes—
837C22×Q8C2414yes—
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2411yescharacteristic
841C22×D4C2412yes—
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2412yes—
855C22×D4C2414yes—
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2414yes—
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2414yes—
867C23×C4C2414yes—
868C23×C4C2414yes—
869C23×C4C2412yes—
870C4⋊Q8—28no—
871C4⋊Q8—24no—
872C4⋊Q8—24no—
873C4⋊Q8—42no—
874C4⋊Q8—42no—
875C4⋊Q8—44no—
876C4⋊Q8—44no—
877C4⋊Q8—48no—
878#127—24no—
879#127—44no—
880#127—42no—
881#127—44no—
882#126—48no—
883#126—48no—
884#125—44no—
885#125—44no—
886#125—48no—
887#125—48no—
888#124—28no—
889#124—24no—
890#124—44no—
891#124—48no—
892#124—44no—
893#124—44no—
894#124—44no—
895#124—48no—
896#124—82no—
897#124—84no—
898#123—44no—
899#123—48no—
900#123—48no—
901#123—84no—
902#123—84no—
903#123—84no—
904C22⋊Q8—24no—
905C22⋊Q8—28no—
906C22⋊Q8—24no—
907C22⋊Q8—24no—
908C22⋊Q8—48no—
909C22⋊Q8—44no—
910C22⋊Q8—44no—
911C22⋊Q8—44no—
912C22⋊Q8—44no—
913C22⋊Q8—44no—
914C22⋊Q8—44no—
915C22⋊Q8—84no—
916C22⋊Q8—82no—
917#121—44no—
918#121—48no—
919#121—48no—
920#121—48no—
921#121—48no—
922#121—48no—
923#121—42no—
924#121—44no—
925#121—44no—
926#121—42no—
927#121—44no—
928#121—42no—
929#121—44no—
930#121—44no—
931#121—44no—
932#121—44no—
933#121—82no—
934#121—84no—
935C4×Q8—24no—
936C4×Q8—24no—
937C4×Q8—24no—
938C4×Q8—44no—
939C4×Q8—44no—
940C4×Q8—42no—
941C4×Q8—42no—
942C4×Q8—44no—
943C4×Q8—44no—
944C4×Q8—44no—
945C4×Q8—44no—
946C4×Q8—44no—
947C4×D4—24no—
948C4×D4—24no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—42no—
952C4×D4—42no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—42no—
958C4×D4—42no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—44no—
963#117—44no—
964#117—44no—
965#117—42no—
966#117—44no—
967C2×C4⋊C4—44no—
968C2×C4⋊C4—48no—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C42—24no—
1098C2×C42—24no—
1099C2×C42—44no—
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2412yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2411yescharacteristic
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2412yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2414yes—
1121C2×C42C2412yes—
1122C2×C42C2414yes—
1123C2×C42C2414yes—
1124C2×C42C2412yes—
1125C2×C42C2414yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2412yes—
1128C2×C42C2414yes—
1129C2×C42C2411yescharacteristic
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2411yescharacteristic
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2411yescharacteristic
1143#95C2411yescharacteristic
1144#95C2411yescharacteristic
1145#95C2411yescharacteristic
1146#95C2411yescharacteristic
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196C24C2512yes—
1197C24C2511yescharacteristic
1198C24C2511yescharacteristic
1199C24C2512yes—
1200C24C2514yes—
1201#41—416no—
1202#41—816no—
1203#41—816no—
1204#41—816no—
1205C2×Q8—22no—
1206C2×Q8—22no—
1207C2×Q8—24no—
1208C2×Q8—24no—
1209C2×Q8—24no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—24no—
1213C2×Q8—24no—
1214C2×Q8—42no—
1215C2×Q8—42no—
1216C2×Q8—42no—
1217C2×Q8—42no—
1218C2×Q8—42no—
1219C2×Q8—42no—
1220C2×Q8—42no—
1221C2×Q8—44no—
1222C2×Q8—44no—
1223C2×Q8—44no—
1224C2×Q8H(5,𝔽2)14yes—
1225C2×Q82−1+414yes—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—28no—
1233C2×D4—22no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—24no—
1239C2×D4—22no—
1240C2×D4—24no—
1241C2×D4—22no—
1242C2×D4—42no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—44no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—44no—
1264C2×D4—42no—
1265C2×D4—44no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—24no—
1287C22×C4—24no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—24no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—28no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—44no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4C2511yescharacteristic
1323C22×C4C2512yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2511yescharacteristic
1330C22×C4C2511yescharacteristic
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2511yescharacteristic
1339C22×C4C2512yes—
1340C22×C4C2514yes—
1341C22×C4C2514yes—
1342C22×C4C2512yes—
1343C22×C4C2514yes—
1344C22×C4C2512yes—
1345C22×C4C2511yescharacteristic
1346C22×C4C2511yescharacteristic
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2511yescharacteristic
1350C22×C4C2511yescharacteristic
1351C22×C4C2511yescharacteristic
1352C4⋊C4—22no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—28no—
1356C4⋊C4—22no—
1357C4⋊C4—24no—
1358C4⋊C4—22no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—28no—
1371C4⋊C4—28no—
1372C4⋊C4—22no—
1373C4⋊C4—24no—
1374C4⋊C4—22no—
1375C4⋊C4—24no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—42no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—41no—
1387C4⋊C4—41no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—44no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—42no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—28no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—28no—
1422C22⋊C4—24no—
1423C22⋊C4—28no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—28no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—42no—
1480C42—22no—
1481C42—22no—
1482C42—22no—
1483C42—22no—
1484C42—22no—
1485C42—22no—
1486C42—24no—
1487C42—22no—
1488C42—24no—
1489C42—24no—
1490C42—24no—
1491C42—24no—
1492C42—22no—
1493C42—22no—
1494C42—24no—
1495C42—24no—
1496C42—22no—
1497C42—22no—
1498C42—24no—
1499C42—42no—
1500C42—42no—
1501C42—44no—
1502C42—42no—
1503C42—44no—
1504C42—44no—
1505C42—44no—
1506C42—44no—
1507C42—41no—
1508C42—42no—
1509C42H(5,𝔽2)14yes—
1510C23—22no—
1511C23—21no—
1512C23—21no—
1513C23—22no—
1514C23—22no—
1515C23—21no—
1516C23—22no—
1517C23—24no—
1518C23—24no—
1519C23—21no—
1520C23—21no—
1521C23—22no—
1522C23—24no—
1523C23—22no—
1524C23—21no—
1525C23—24no—
1526C23—22no—
1527C23—22no—
1528C23—21no—
1529C23—21no—
1530C23—22no—
1531C23—22no—
1532C23—22no—
1533C23—24no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—24no—
1539C23—22no—
1540C23—21no—
1541C23—22no—
1542C23—24no—
1543C23—21no—
1544C23—22no—
1545C23C2611yescharacteristic
1546Q8—28no—
1547Q8—28no—
1548Q8—48no—
1549Q8—84no—
1550Q8—84no—
1551Q8—84no—
1552Q8—164no—
1553D4—44no—
1554D4—48no—
1555D4—44no—
1556D4—48no—
1557D4—44no—
1558D4—48no—
1559D4—84no—
1560D4—88no—
1561D4—84no—
1562D4—84no—
1563D4—84no—
1564D4—84no—
1565D4—84no—
1566D4—88no—
1567D4—164no—
1568D4—164no—
1569D4—164no—
1570D4—164no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—24no—
1594C2×C4—24no—
1595C2×C4—24no—
1596C2×C4—24no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—24no—
1623C2×C4—22no—
1624C2×C4—24no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—24no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—24no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—24no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—21no—
1651C2×C4—48no—
1652C2×C4—44no—
1653C2×C4—44no—
1654C2×C4—48no—
1655C2×C4—44no—
1656C2×C4—48no—
1657C2×C4—44no—
1658C2×C4—82no—
1659C2×C4—82no—
1660C2×C4—88no—
1661C2×C4—88no—
1662C2×C4—84no—
1663C2×C4—88no—
1664C2×C4—164no—
1665C2×C4C2×H(5,𝔽2)12yes—
1666C2×C4C2×H(5,𝔽2)14yes—
1667C2×C4C2×H(5,𝔽2)12yes—
1668C2×C4C2×H(5,𝔽2)12yes—
1669C2×C4C2×H(5,𝔽2)12yes—
1670C2×C4C2×2−1+414yes—
1671C2×C4C2×2−1+412yes—
1672C2×C4#58512yes—
1673C2×C4#58512yes—
1674C2×C4#58512yes—
1675C22—42no—
1676C22—41no—
1677C22—41no—
1678C22—42no—
1679C22—44no—
1680C22—42no—
1681C22—41no—
1682C22—41no—
1683C22—42no—
1684C22—44no—
1685C22—42no—
1686C22—41no—
1687C22—41no—
1688C22—42no—
1689C22—44no—
1690C22—41no—
1691C22—41no—
1692C22—42no—
1693C22—44no—
1694C22—42no—
1695C22—44no—
1696C22—42no—
1697C22—41no—
1698C22—41no—
1699C22—42no—
1700C22—41no—
1701C22—42no—
1702C22—44no—
1703C22—42no—
1704C22—41no—
1705C22—42no—
1706C22—41no—
1707C22—41no—
1708C22—42no—
1709C22—44no—
1710C22C22×H(5,𝔽2)11yescharacteristic
1711C22C22×H(5,𝔽2)11yescharacteristic
1712C22C22×2−1+411yescharacteristic
1713C22C2×#58511yescharacteristic
1714C22C2×#58511yescharacteristic
1715C22C2×#58511yescharacteristic
1716C22H(7,𝔽2)11yescharacteristic
1717C4—24no—
1718C4—24no—
1719C4—22no—
1720C4—22no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—42no—
1725C4—41no—
1726C4—42no—
1727C4—44no—
1728C4—41no—
1729C4—42no—
1730C4—42no—
1731C4—42no—
1732C4—42no—
1733C4—41no—
1734C4—42no—
1735C4—42no—
1736C4—42no—
1737C4—44no—
1738C4—41no—
1739C4—42no—
1740C4—41no—
1741C4—41no—
1742C4—42no—
1743C4—42no—
1744C4—44no—
1745C4#354114yes—
1746C4#355814yes—
1747C2—81no—
1748C2—82no—
1749C2—81no—
1750C2—82no—
1751C2—84no—
1752C2C2×#354111yescharacteristic
1753C2C2×#355811yescharacteristic
1754C2#6282711yescharacteristic
1755C2#6292311yescharacteristic
1756C2#6295211yescharacteristic
1757C2#6295511yescharacteristic
1758C2#6303911yescharacteristic
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. #59642C2semidirect
2. #59081C2semidirect
3. #59066C2semidirect
4. #57638C2semidirect
5. #54972C2semidirect
6. #53902C2semidirect
7. #53084C2semidirect
8. #53046C2semidirect
9. #48188C2semidirect
10. #46015C2semidirect
11. #45603C2semidirect
12. #45285C2semidirect
13. #45243C2semidirect
14. #42916C2semidirect
15. #42895C2semidirect
16. #42839C2semidirect
17. #42590C2semidirect
18. #40218C2semidirect
19. #40129C2semidirect
20. #39674C2semidirect
21. #39437C2semidirect
22. #39341C2semidirect
23. #39201C2semidirect
24. #39147C2semidirect
25. #38932C2semidirect
26. #37634C2semidirect
27. #37336C2semidirect
28. #37325C2semidirect
29. #36457C2semidirect
30. #36456C2semidirect
31. #36150C2semidirect
32. #35209C2semidirect
33. #35190C2semidirect
34. #34945C2semidirect
35. #34715C2semidirect

Maximal subgroups

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

subgroupindex
#596422
#590812
#590662
#576382
#549722
#539022
#530842
#530462
#481882
#460152
#456032
#452852
#452432
#429162
#428952
#428392
#425902
#402182
#401292
#396742
#394372
#393412
#392012
#391472
#389322
#376342
#373362
#373252
#364572
#364562
#361502
#352092
#351902
#349452
#347152