Finite Group Databasebeta

← #7979536

Subgroups — #7979536

Order 512.

5041 conjugacy classes of subgroups.

The subgroup lattice has 1736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59828C211yesmaximal, characteristic, complemented
2#59397C212yesmaximal, complemented
3#59078C212yesmaximal, complemented
4#59071C211yesmaximal, characteristic, complemented
5#59064C211yesmaximal, characteristic, complemented
6#51885C214yesmaximal, complemented
7#50051C214yesmaximal, complemented
8#46074C212yesmaximal, complemented
9#45689C212yesmaximal, complemented
10#45216C212yesmaximal, complemented
11#45112C212yesmaximal, complemented
12#43381C214yesmaximal, complemented
13#42641C212yesmaximal, complemented
14#42460C212yesmaximal, complemented
15#41362C214yesmaximal, complemented
16#40105C212yesmaximal, complemented
17#40103C212yesmaximal, complemented
18#39985C212yesmaximal, complemented
19#39816C212yesmaximal, complemented
20#39387C211yesmaximal, characteristic, complemented
21#39137C211yesmaximal, characteristic, complemented
22#39127C212yesmaximal, complemented
23#36552C211yesmaximal, characteristic, complemented
24#36538C211yesmaximal, characteristic, complemented
25#36445C211yesmaximal, characteristic, complemented
26#36150C211yesmaximal, characteristic, complemented
27#36141C212yesmaximal, complemented
28#36117C211yesmaximal, characteristic, complemented
29#35241C211yesmaximal, characteristic, complemented
30#35184C211yesmaximal, characteristic, complemented
31#35036C212yesmaximal, complemented
32#34937C211yesmaximal, characteristic, complemented
33#34724C211yesmaximal, characteristic, complemented
34#34419C212yesmaximal, complemented
35C4×#554C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×#557C2212yes—
39C2×#554C2211yescharacteristic
40C2×#542C2212yes—
41C2×#533C2211yescharacteristic
42C2×#532C2212yes—
43C2×#532C2211yescharacteristic
44C2×#529C2212yes—
45C2×#529C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic
47#2863C2212yes—
48#2861C2212yes—
49#2861C2212yes—
50#2858C2211yescharacteristic
51#2857C2211yescharacteristic
52#2857C2212yes—
53#2857C2212yes—
54#2856C2211yescharacteristic
55#2854C2212yes—
56#2851C2212yes—
57#2850C2212yes—
58#2837C2214yes—
59#2837C2214yes—
60#2800C2214yes—
61#2793C2214yes—
62#2783C2214yes—
63#2781C2214yes—
64#2780C2214yes—
65#2780C2214yes—
66#2779C2214yes—
67#2773C2214yes—
68#2761C2214yes—
69#2750C2214yes—
70#2748C2214yes—
71#2741C2214yes—
72#2740C2214yes—
73#2732C2214yes—
74#2730C2214yes—
75#2730C2214yes—
76#2726C2214yes—
77#2725C2214yes—
78#2725C2214yes—
79#2721C2214yes—
80#2719C2214yes—
81#2711C2214yes—
82#2711C2214yes—
83#2708C2214yes—
84#2708C2214yes—
85#2707C2214yes—
86#2707C2214yes—
87#2706C2214yes—
88#2705C2214yes—
89#2705C2214yes—
90#2701C2214yes—
91#2694C2214yes—
92#2682C2214yes—
93#2667C2214yes—
94#2667C2214yes—
95#2664C2214yes—
96#2654C2214yes—
97#2649C2214yes—
98#2630C2214yes—
99#2629C2214yes—
100#2620C2212yes—
101#2620C2212yes—
102#2608C2214yes—
103#2590C2214yes—
104#2587C2214yes—
105#2582C2212yes—
106#2578C2214yes—
107#2577C2214yes—
108#2573C2214yes—
109#2569C2214yes—
110#2568C2211yescharacteristic
111#2568C2211yescharacteristic
112#2566C2212yes—
113#2565C2212yes—
114#2562C2214yes—
115#2559C2214yes—
116#2558C2214yes—
117#2558C2214yes—
118#2552C2211yescharacteristic
119#2552C2212yes—
120#2548C2211yescharacteristic
121#2548C2212yes—
122#2548C2212yes—
123#2547C2211yescharacteristic
124#2547C2212yes—
125#2546C2211yescharacteristic
126#2546C2211yescharacteristic
127#2545C2212yes—
128#2545C2212yes—
129#2545C2212yes—
130#2545C2212yes—
131#2545C2212yes—
132#2544C2212yes—
133#2543C2214yes—
134#2542C2212yes—
135#2542C2211yescharacteristic
136#2541C2211yescharacteristic
137#2540C2212yes—
138#2540C2212yes—
139#2538C2212yes—
140#2538C2214yes—
141#2538C2211yescharacteristic
142#2538C2212yes—
143#2537C2212yes—
144#2525C2214yes—
145#2518C2214yes—
146#2512C2212yes—
147#2512C2212yes—
148#2511C2212yes—
149#2508C2212yes—
150#2506C2212yes—
151#2506C2212yes—
152#2505C2214yes—
153#2502C2212yes—
154#2501C2212yes—
155#2498C2214yes—
156#2495C2212yes—
157#2490C2212yes—
158#2490C2214yes—
159#2489C2212yes—
160#2479C2214yes—
161#2478C2212yes—
162#2476C2214yes—
163#2475C2214yes—
164#2470C2212yes—
165#2468C2214yes—
166#2467C2214yes—
167#2466C2212yes—
168#2464C2214yes—
169#2460C2214yes—
170#2460C2214yes—
171#2457C2214yes—
172#2456C2214yes—
173#2455C2212yes—
174#2454C2212yes—
175#2454C2212yes—
176#2454C2212yes—
177#2454C2212yes—
178#2454C2214yes—
179#2454C2214yes—
180#2453C2212yes—
181#2453C2212yes—
182#2453C2214yes—
183#2453C2211yescharacteristic
184#2453C2212yes—
185#2448C2212yes—
186#2448C2212yes—
187#2448C2212yes—
188#2447C2212yes—
189#2447C2212yes—
190#2447C2211yescharacteristic
191#2446C2212yes—
192#2446C2212yes—
193#2446C2212yes—
194#2445C2212yes—
195#2441C2211yescharacteristic
196#2441C2212yes—
197#2441C2214yes—
198#2432C2211yescharacteristic
199#2432C2212yes—
200#2429C2212yes—
201#2429C2212yes—
202#2429C2211yescharacteristic
203#2428C2212yes—
204#2427C2212yes—
205#2427C2212yes—
206#2427C2212yes—
207#2426C2212yes—
208#2426C2212yes—
209#2426C2214yes—
210#2426C2212yes—
211#2426C2212yes—
212#2425C2214yes—
213#2423C2212yes—
214#2422C2211yescharacteristic
215#2421C2212yes—
216#2420C2212yes—
217#2419C2214yes—
218#2417C2212yes—
219#2417C2212yes—
220#2416C2212yes—
221#2416C2212yes—
222#2415C2211yescharacteristic
223#2414C2212yes—
224#2407C2211yescharacteristic
225#2407C2212yes—
226#2395C2212yes—
227#2392C2212yes—
228#2392C2214yes—
229#2379C2214yes—
230#2376C2214yes—
231#2370C2212yes—
232#2369C2211yescharacteristic
233#2368C2212yes—
234#2368C2212yes—
235#2367C2212yes—
236#2367C2212yes—
237#2367C2214yes—
238#2367C2212yes—
239#2366C2211yescharacteristic
240#2365C2212yes—
241#2365C2212yes—
242#2365C2211yescharacteristic
243#2364C2214yes—
244#2363C2212yes—
245#2361C2212yes—
246#2360C2212yes—
247#2360C2211yescharacteristic
248#2360C2211yescharacteristic
249#2359C2214yes—
250#2355C2212yes—
251#2355C2211yescharacteristic
252#2354C2212yes—
253#2351C2212yes—
254Q8×C4⋊C4C2211yescharacteristic
255Q8×C4⋊C4C2212yes—
256Q8×C4⋊C4C2211yescharacteristic
257#2349C2212yes—
258#2349C2212yes—
259D4×C4⋊C4C2211yescharacteristic
260#2345C2211yescharacteristic
261#2345C2211yescharacteristic
262#2341C2212yes—
263#2341C2212yes—
264#2339C2212yes—
265#2335C2214yes—
266#2334C2214yes—
267#2334C2214yes—
268#2329C2214yes—
269#2324C2212yes—
270#2323C2212yes—
271#2323C2212yes—
272#2323C2214yes—
273#2323C2212yes—
274#2314C2212yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2211yescharacteristic
278C4×#125C2212yes—
279C4×#124C2212yes—
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2212yes—
288C4×#123C2212yes—
289C4×#121C2212yes—
290C4×#121C2212yes—
291#2297C2212yes—
292#2296C2212yes—
293#2293C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2212yes—
296C42×D4C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301#559—44no—
302#557—44no—
303#557—48no—
304#554—28no—
305#542—216no—
306#533—44no—
307#532—44no—
308#532—48no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2311yescharacteristic
316C2×#127C2311yescharacteristic
317C2×#127C2312yes—
318#529—44no—
319#529—48no—
320C2×#126C2314yes—
321C2×#126C2312yes—
322C2×#126C2314yes—
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#125C2311yescharacteristic
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2312yes—
329C2×#125C2314yes—
330C2×#125C2314yes—
331C2×#125C2314yes—
332C2×#124C2312yes—
333C2×#124C2314yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2311yescharacteristic
340C2×#124C2312yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2312yes—
345C2×#123C2314yes—
346C2×#123C2312yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2311yescharacteristic
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2311yescharacteristic
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×#121C2312yes—
362C2×#121C2311yescharacteristic
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2314yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2314yes—
372C4×#41—44no—
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2314yes—
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2314yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2312yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2312yes—
408C2×#117C2312yes—
409C2×#117C2312yes—
410C2×#117C2314yes—
411C2×#117C2312yes—
412C2×#117C2312yes—
413C2×#117C2311yescharacteristic
414C22×C4⋊C4C2311yescharacteristic
415C22×C4⋊C4C2311yescharacteristic
416C22×C4⋊C4C2311yescharacteristic
417C22×C4⋊C4C2311yescharacteristic
418C22×C42C2311yescharacteristic
419C22×C42C2311yescharacteristic
420C22×C42C2312yes—
421C22×C42C2312yes—
422C22×C42C2312yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2312yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2312yes—
439#399C2314yes—
440#399C2314yes—
441#399C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2312yes—
451#398C2314yes—
452#398C2314yes—
453#398C2312yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2312yes—
463#397C2312yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2312yes—
468#397C2312yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2312yes—
487#396C2312yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2312yes—
503#394C2314yes—
504#394C2314yes—
505#394C2312yes—
506#394C2314yes—
507#394C2312yes—
508#394C2314yes—
509#394C2314yes—
510#394C2312yes—
511#394C2312yes—
512#394C2314yes—
513#392C2314yes—
514#392C2312yes—
515#392C2314yes—
516#392C2314yes—
517#391C2311yescharacteristic
518#391C2312yes—
519#391C2312yes—
520#391C2311yescharacteristic
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#391C2314yes—
531#391C2312yes—
532#391C2312yes—
533#391C2311yescharacteristic
534#391C2312yes—
535#391C2311yescharacteristic
536#391C2312yes—
537#391C2311yescharacteristic
538#391C2311yescharacteristic
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2314yes—
543#390C2314yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2314yes—
548#390C2314yes—
549#390C2314yes—
550#390C2314yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2311yescharacteristic
557#390C2312yes—
558#390C2312yes—
559#390C2314yes—
560#390C2312yes—
561#390C2311yescharacteristic
562#390C2314yes—
563#390C2314yes—
564#390C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2314yes—
576#389C2312yes—
577#389C2314yes—
578#389C2312yes—
579#389C2314yes—
580#389C2314yes—
581#389C2312yes—
582#389C2312yes—
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2314yes—
588#389C2312yes—
589#389C2314yes—
590#389C2312yes—
591#389C2314yes—
592#389C2312yes—
593#389C2312yes—
594#389C2314yes—
595#389C2314yes—
596#389C2312yes—
597#389C2312yes—
598#389C2311yescharacteristic
599#389C2312yes—
600#389C2314yes—
601#389C2312yes—
602#389C2314yes—
603#389C2312yes—
604#389C2311yescharacteristic
605#389C2312yes—
606#389C2314yes—
607#389C2312yes—
608#389C2311yescharacteristic
609#389C2311yescharacteristic
610#389C2311yescharacteristic
611#388C2312yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2314yes—
644#388C2314yes—
645#388C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2312yes—
673#387C2312yes—
674#387C2314yes—
675#387C2312yes—
676#387C2314yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2312yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2312yes—
705#385C2312yes—
706#385C2312yes—
707#385C2312yes—
708#385C2312yes—
709#385C2312yes—
710#385C2312yes—
711#385C2312yes—
712#385C2314yes—
713#385C2312yes—
714#385C2314yes—
715#385C2312yes—
716#385C2312yes—
717#385C2312yes—
718#385C2312yes—
719#384C2311yescharacteristic
720#384C2311yescharacteristic
721#384C2311yescharacteristic
722#384C2312yes—
723#384C2312yes—
724#384C2312yes—
725#384C2312yes—
726#384C2314yes—
727#383C2314yes—
728#382C2312yes—
729#382C2312yes—
730#382C2312yes—
731#382C2314yes—
732#382C2314yes—
733#381C2314yes—
734#381C2314yes—
735#381C2312yes—
736#380C2312yes—
737#380C2314yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2314yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2314yes—
746#380C2314yes—
747#380C2311yescharacteristic
748#380C2312yes—
749#380C2314yes—
750#380C2311yescharacteristic
751#380C2311yescharacteristic
752#380C2311yescharacteristic
753#380C2312yes—
754#380C2312yes—
755#380C2314yes—
756#380C2314yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
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⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816C2×#95C2314yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C43C2312yes—
820C43C2311yescharacteristic
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—28no—
824C2×#41—42no—
825C2×#41—44no—
826C2×#41—44no—
827C22×Q8C2411yescharacteristic
828C22×Q8C2412yes—
829C22×Q8C2411yescharacteristic
830C22×Q8C2412yes—
831C22×Q8C2411yescharacteristic
832C22×Q8C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2414yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2414yes—
855C23×C4C2414yes—
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2414yes—
859C23×C4C2412yes—
860C4⋊Q8—28no—
861C4⋊Q8—24no—
862C4⋊Q8—24no—
863C4⋊Q8—24no—
864C4⋊Q8—44no—
865C4⋊Q8—44no—
866C4⋊Q8#4118yescomplemented
867#127—24no—
868#127—44no—
869#126—216no—
870#126—44no—
871#126—48no—
872#125—28no—
873#125—42no—
874#125—44no—
875#125—44no—
876#125—48no—
877#125—44no—
878#125—48no—
879#125—48no—
880#125—48no—
881#124—216no—
882#124—28no—
883#124—28no—
884#124—44no—
885#124—42no—
886#124—44no—
887#124—44no—
888#124—44no—
889#124—44no—
890#123—216no—
891#123—48no—
892#123—44no—
893#123—44no—
894#123—48no—
895#123—48no—
896C22⋊Q8—216no—
897C22⋊Q8—28no—
898C22⋊Q8—28no—
899C22⋊Q8—24no—
900C22⋊Q8—24no—
901C22⋊Q8—28no—
902C22⋊Q8—24no—
903C22⋊Q8—24no—
904C22⋊Q8—44no—
905C22⋊Q8—44no—
906C22⋊Q8—44no—
907C22⋊Q8—42no—
908C22⋊Q8—44no—
909C22⋊Q8—44no—
910#121—28no—
911#121—48no—
912#121—48no—
913#121—48no—
914#121—44no—
915#121—44no—
916#121—42no—
917#121—44no—
918#121—44no—
919#121—44no—
920#121—44no—
921C4×Q8—28no—
922C4×Q8—28no—
923C4×Q8—24no—
924C4×Q8—24no—
925C4×Q8—24no—
926C4×Q8—24no—
927C4×Q8—44no—
928C4×Q8—48no—
929C4×Q8—42no—
930C4×Q8—42no—
931C4×Q8—44no—
932C4×Q8—44no—
933C4×Q8—44no—
934C4×Q8—44no—
935C4×Q8—44no—
936C4×Q8—44no—
937C4×D4—24no—
938C4×D4—28no—
939C4×D4—28no—
940C4×D4—24no—
941C4×D4—24no—
942C4×D4—48no—
943C4×D4—42no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—48no—
953C4×D4—48no—
954C4×D4—44no—
955C4×D4—42no—
956#117—28no—
957#117—44no—
958#117—44no—
959#117—48no—
960#117—42no—
961#117—44no—
962C2×C4⋊C4—24no—
963C2×C4⋊C4—24no—
964C2×C4⋊C4—42no—
965C2×C4⋊C4—42no—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2411yescharacteristic
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C42—24no—
1097C2×C42—24no—
1098C2×C42—44no—
1099C2×C42—44no—
1100C2×C42—44no—
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2414yes—
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2412yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2412yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2414yes—
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2414yes—
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2411yescharacteristic
1128C2×C42C2414yes—
1129C2×C42C2414yes—
1130C2×C42C2414yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2414yes—
1151#95C2412yes—
1152#95C2411yescharacteristic
1153#95C2412yes—
1154#95C2411yescharacteristic
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2411yescharacteristic
1159#95C2412yes—
1160#95C2411yescharacteristic
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201C24C2514yes—
1202C24C2512yes—
1203C24C2511yescharacteristic
1204C24C2511yescharacteristic
1205#41—416no—
1206#41—816no—
1207C2×Q8—22no—
1208C2×Q8—24no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—24no—
1213C2×Q8—22no—
1214C2×Q8—24no—
1215C2×Q8—24no—
1216C2×Q8—22no—
1217C2×Q8—22no—
1218C2×Q8—24no—
1219C2×Q8—22no—
1220C2×Q8—24no—
1221C2×Q8—42no—
1222C2×Q8—42no—
1223C2×Q8C2×#4118yes—
1224C2×Q8H(5,𝔽2)14yes—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—24no—
1228C2×D4—28no—
1229C2×D4—28no—
1230C2×D4—24no—
1231C2×D4—22no—
1232C2×D4—24no—
1233C2×D4—28no—
1234C2×D4—22no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—22no—
1240C2×D4—24no—
1241C2×D4—22no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—42no—
1245C2×D4—44no—
1246C2×D4—42no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—42no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—42no—
1256C2×D4—44no—
1257C2×D4—42no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—24no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—24no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—22no—
1273C22×C4—24no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—28no—
1280C22×C4—22no—
1281C22×C4—28no—
1282C22×C4—42no—
1283C22×C4—41no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—41no—
1295C22×C4—42no—
1296C22×C4—42no—
1297C22×C4—41no—
1298C22×C4—42no—
1299C22×C4—44no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C42−1+414yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2514yes—
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2514yes—
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2514yes—
1323C22×C4C2512yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C22×C4C2512yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2511yescharacteristic
1332C22×C4C2511yescharacteristic
1333C22×C4C2512yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C4⋊C4—22no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—22no—
1343C4⋊C4—24no—
1344C4⋊C4—28no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—28no—
1348C4⋊C4—24no—
1349C4⋊C4—22no—
1350C4⋊C4—24no—
1351C4⋊C4—22no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—24no—
1358C4⋊C4—28no—
1359C4⋊C4—28no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—28no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—24no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—24no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—44no—
1384C4⋊C4—41no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—44no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
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—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—44no—
1406C4⋊C4—42no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4C2×#4114yes—
1411C4⋊C4C2×#4114yes—
1412C4⋊C4C2×#4118yes—
1413C22⋊C4—22no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—22no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—28no—
1425C22⋊C4—28no—
1426C22⋊C4—28no—
1427C22⋊C4—28no—
1428C22⋊C4—28no—
1429C22⋊C4—24no—
1430C22⋊C4—28no—
1431C22⋊C4—28no—
1432C22⋊C4—24no—
1433C22⋊C4—22no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—42no—
1443C22⋊C4—41no—
1444C22⋊C4—42no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—42no—
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—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C42—24no—
1468C42—24no—
1469C42—28no—
1470C42—22no—
1471C42—22no—
1472C42—22no—
1473C42—22no—
1474C42—22no—
1475C42—22no—
1476C42—24no—
1477C42—24no—
1478C42—24no—
1479C42—24no—
1480C42—24no—
1481C42—28no—
1482C42—24no—
1483C42—22no—
1484C42—22no—
1485C42—22no—
1486C42—42no—
1487C42—42no—
1488C42—42no—
1489C42—42no—
1490C42—42no—
1491C42—42no—
1492C42—41no—
1493C42—42no—
1494C42—44no—
1495C42—41no—
1496C42—42no—
1497C42—42no—
1498C42—44no—
1499C42—44no—
1500C42—44no—
1501C42C2×#4114yes—
1502C42H(5,𝔽2)14yes—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—24no—
1516C23—22no—
1517C23—24no—
1518C23—22no—
1519C23—24no—
1520C23—22no—
1521C23—22no—
1522C23—24no—
1523C23—22no—
1524C23—24no—
1525C23—22no—
1526C23—24no—
1527C23—24no—
1528C23—22no—
1529C23C2×2−1+412yes—
1530C23#58512yes—
1531C23C2611yescharacteristic
1532Q8—28no—
1533Q8—48no—
1534Q8—44no—
1535Q8—48no—
1536Q8—44no—
1537Q8—48no—
1538D4—28no—
1539D4—48no—
1540D4—48no—
1541D4—44no—
1542D4—48no—
1543D4—88no—
1544D4—84no—
1545D4—88no—
1546D4—84no—
1547D4—88no—
1548D4—88no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—28no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—24no—
1591C2×C4—22no—
1592C2×C4—24no—
1593C2×C4—24no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—24no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—24no—
1614C2×C4—24no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—24no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—48no—
1631C2×C4—44no—
1632C2×C4—44no—
1633C2×C4—44no—
1634C2×C4—48no—
1635C2×C4—44no—
1636C2×C4—84no—
1637C2×C4—88no—
1638C2×C4—84no—
1639C2×C4—82no—
1640C2×C4—88no—
1641C2×C4—84no—
1642C2×C4—84no—
1643C2×C4—84no—
1644C2×C4—164no—
1645C2×C4C22×#4112yes—
1646C2×C4C22×#4114yes—
1647C2×C4C22×#4112yes—
1648C2×C4C22×#4114yes—
1649C2×C4C22×#4112yes—
1650C2×C4C2×H(5,𝔽2)12yes—
1651C2×C4C2×H(5,𝔽2)14yes—
1652C2×C4C2×H(5,𝔽2)12yes—
1653C2×C4C2×H(5,𝔽2)12yes—
1654C2×C4C2×H(5,𝔽2)12yes—
1655C2×C4C2×2−1+412yes—
1656C2×C4C2×2−1+412yes—
1657C2×C4#58512yes—
1658C22—22no—
1659C22—22no—
1660C22—22no—
1661C22—22no—
1662C22—22no—
1663C22—22no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—42no—
1673C22—44no—
1674C22—44no—
1675C22—42no—
1676C22—44no—
1677C22—42no—
1678C22—42no—
1679C22—44no—
1680C22—42no—
1681C22—44no—
1682C22—42no—
1683C22—44no—
1684C22—42no—
1685C22—44no—
1686C22C23×#4111yescharacteristic
1687C22C22×H(5,𝔽2)11yescharacteristic
1688C22C22×H(5,𝔽2)11yescharacteristic
1689C22C22×2−1+411yescharacteristic
1690C22C2×#58511yescharacteristic
1691C22C2×#58511yescharacteristic
1692C222−1+611yescharacteristic
1693C4—22no—
1694C4—24no—
1695C4—24no—
1696C4—24no—
1697C4—22no—
1698C4—22no—
1699C4—22no—
1700C4—41no—
1701C4—44no—
1702C4—42no—
1703C4—42no—
1704C4—42no—
1705C4—41no—
1706C4—42no—
1707C4—42no—
1708C4—42no—
1709C4—44no—
1710C4—42no—
1711C4—42no—
1712C4—41no—
1713C4—41no—
1714C4—44no—
1715C4—42no—
1716C4—41no—
1717C4—42no—
1718C4—41no—
1719C4—42no—
1720C4—42no—
1721C4—41no—
1722C4#351714yes—
1723C4#353614yes—
1724C2—42no—
1725C2—42no—
1726C2—82no—
1727C2—84no—
1728C2C2×#353611yescharacteristic
1729C2#6278811yescharacteristic
1730C2C2×#351711yescharacteristic
1731C2#6295411yescharacteristic
1732C2#6295611yescharacteristic
1733C2#6298411yescharacteristic
1734C2#6301911yescharacteristic
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. #59828C2semidirect
2. #59397C2semidirect
3. #59078C2semidirect
4. #59071C2semidirect
5. #59064C2semidirect
6. #51885C2semidirect
7. #50051C2semidirect
8. #46074C2semidirect
9. #45689C2semidirect
10. #45216C2semidirect
11. #45112C2semidirect
12. #43381C2semidirect
13. #42641C2semidirect
14. #42460C2semidirect
15. #41362C2semidirect
16. #40105C2semidirect
17. #40103C2semidirect
18. #39985C2semidirect
19. #39816C2semidirect
20. #39387C2semidirect
21. #39137C2semidirect
22. #39127C2semidirect
23. #36552C2semidirect
24. #36538C2semidirect
25. #36445C2semidirect
26. #36150C2semidirect
27. #36141C2semidirect
28. #36117C2semidirect
29. #35241C2semidirect
30. #35184C2semidirect
31. #35036C2semidirect
32. #34937C2semidirect
33. #34724C2semidirect
34. #34419C2semidirect
35. C4×#554C2semidirect
866. C4⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#598282
#593972
#590782
#590712
#590642
#518852
#500512
#460742
#456892
#452162
#451122
#433812
#426412
#424602
#413622
#401052
#401032
#399852
#398162
#393872
#391372
#391272
#365522
#365382
#364452
#361502
#361412
#361172
#352412
#351842
#350362
#349372
#347242
#344192
C4×#5542