Finite Group Databasebeta

← #7709872

Subgroups — #7709872

Order 512.

5296 conjugacy classes of subgroups.

The subgroup lattice has 1792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59693C212yesmaximal, complemented
2#59660C211yesmaximal, characteristic, complemented
3#59647C211yesmaximal, characteristic, complemented
4#59475C212yesmaximal, complemented
5#59435C211yesmaximal, characteristic, complemented
6#59419C211yesmaximal, characteristic, complemented
7#45914C214yesmaximal, complemented
8#45593C212yesmaximal, complemented
9#45592C212yesmaximal, complemented
10#40308C214yesmaximal, complemented
11#40150C212yesmaximal, complemented
12#40148C212yesmaximal, complemented
13#39938C212yesmaximal, complemented
14#39865C212yesmaximal, complemented
15#39850C214yesmaximal, complemented
16#39284C212yesmaximal, complemented
17#39191C211yesmaximal, characteristic, complemented
18#39169C211yesmaximal, characteristic, complemented
19#39069C212yesmaximal, complemented
20#38976C211yesmaximal, characteristic, complemented
21#38952C211yesmaximal, characteristic, complemented
22#37498C212yesmaximal, complemented
23#36995C214yesmaximal, complemented
24#36638C211yesmaximal, characteristic, complemented
25#36631C211yesmaximal, characteristic, complemented
26#36492C211yesmaximal, characteristic, complemented
27#36455C211yesmaximal, characteristic, complemented
28#36410C211yesmaximal, characteristic, complemented
29#36392C212yesmaximal, complemented
30#36275C211yesmaximal, characteristic, complemented
31#36263C212yesmaximal, complemented
32#35038C212yesmaximal, complemented
33#35029C212yesmaximal, complemented
34#34477C212yesmaximal, complemented
35C4×#532C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#553C2214yes—
39C2×#550C2212yes—
40C2×#550C2211yescharacteristic
41C2×#550C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#529C2212yes—
44C2×C4×#41C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46#2866C2212yes—
47#2865C2212yes—
48#2864C2211yescharacteristic
49#2863C2211yescharacteristic
50#2861C2212yes—
51#2861C2211yescharacteristic
52#2860C2212yes—
53#2860C2212yes—
54#2860C2211yescharacteristic
55#2859C2211yescharacteristic
56#2858C2211yescharacteristic
57#2857C2211yescharacteristic
58#2856C2211yescharacteristic
59#2856C2212yes—
60#2855C2211yescharacteristic
61#2855C2212yes—
62#2854C2212yes—
63#2854C2212yes—
64#2854C2211yescharacteristic
65#2854C2212yes—
66#2853C2212yes—
67#2852C2212yes—
68#2851C2211yescharacteristic
69#2851C2212yes—
70#2850C2212yes—
71#2850C2211yescharacteristic
72#2826C2214yes—
73#2825C2214yes—
74#2797C2214yes—
75#2779C2214yes—
76#2778C2214yes—
77#2775C2214yes—
78#2766C2214yes—
79#2757C2214yes—
80#2756C2214yes—
81#2753C2214yes—
82#2753C2214yes—
83#2753C2214yes—
84#2750C2214yes—
85#2743C2214yes—
86#2741C2214yes—
87#2741C2214yes—
88#2739C2214yes—
89#2728C2214yes—
90#2719C2214yes—
91#2711C2214yes—
92#2711C2214yes—
93#2706C2214yes—
94#2703C2214yes—
95#2699C2214yes—
96#2694C2214yes—
97#2693C2214yes—
98#2688C2214yes—
99#2676C2214yes—
100#2676C2214yes—
101#2673C2214yes—
102#2673C2214yes—
103#2672C2214yes—
104#2672C2214yes—
105#2671C2214yes—
106#2654C2214yes—
107#2649C2214yes—
108#2648C2214yes—
109#2645C2212yes—
110#2641C2212yes—
111#2636C2214yes—
112#2635C2214yes—
113#2635C2214yes—
114#2624C2212yes—
115#2620C2212yes—
116#2604C2214yes—
117#2602C2214yes—
118#2601C2214yes—
119#2600C2214yes—
120#2600C2214yes—
121#2598C2214yes—
122#2595C2214yes—
123#2591C2214yes—
124#2582C2211yescharacteristic
125#2582C2211yescharacteristic
126#2578C2214yes—
127#2576C2214yes—
128#2576C2214yes—
129#2575C2214yes—
130#2573C2214yes—
131#2571C2212yes—
132#2567C2211yescharacteristic
133#2566C2212yes—
134#2563C2211yescharacteristic
135#2562C2212yes—
136#2559C2214yes—
137#2559C2214yes—
138#2558C2214yes—
139#2553C2214yes—
140#2548C2211yescharacteristic
141#2544C2212yes—
142#2543C2214yes—
143#2543C2214yes—
144#2541C2212yes—
145#2541C2211yescharacteristic
146#2541C2212yes—
147#2537C2211yescharacteristic
148#2537C2211yescharacteristic
149#2537C2212yes—
150#2536C2214yes—
151#2535C2212yes—
152#2526C2214yes—
153#2514C2212yes—
154#2513C2212yes—
155#2512C2212yes—
156#2511C2212yes—
157#2508C2212yes—
158#2506C2212yes—
159#2506C2212yes—
160#2505C2214yes—
161#2504C2212yes—
162#2501C2212yes—
163#2497C2212yes—
164#2496C2212yes—
165#2495C2212yes—
166#2490C2212yes—
167#2489C2212yes—
168#2489C2212yes—
169#2487C2212yes—
170#2487C2212yes—
171#2485C2212yes—
172#2481C2214yes—
173#2477C2214yes—
174#2476C2214yes—
175#2467C2214yes—
176#2467C2214yes—
177#2464C2214yes—
178#2464C2214yes—
179#2463C2214yes—
180#2456C2214yes—
181#2454C2212yes—
182#2454C2212yes—
183#2453C2212yes—
184#2449C2214yes—
185#2448C2212yes—
186#2447C2212yes—
187#2446C2212yes—
188#2445C2212yes—
189#2445C2212yes—
190#2445C2212yes—
191#2443C2214yes—
192#2442C2212yes—
193#2442C2212yes—
194#2441C2212yes—
195#2441C2212yes—
196#2438C2214yes—
197#2432C2212yes—
198#2431C2212yes—
199#2431C2212yes—
200#2431C2212yes—
201#2428C2212yes—
202#2428C2212yes—
203#2428C2212yes—
204#2428C2212yes—
205#2428C2214yes—
206#2427C2212yes—
207#2427C2212yes—
208#2421C2212yes—
209#2420C2212yes—
210#2420C2212yes—
211#2420C2212yes—
212#2417C2212yes—
213#2416C2212yes—
214#2416C2212yes—
215#2416C2212yes—
216#2414C2212yes—
217#2414C2212yes—
218#2414C2212yes—
219#2414C2214yes—
220#2407C2212yes—
221#2407C2212yes—
222#2407C2212yes—
223#2407C2212yes—
224#2380C2214yes—
225#2377C2214yes—
226#2367C2212yes—
227#2366C2212yes—
228#2364C2214yes—
229#2363C2212yes—
230#2361C2212yes—
231#2361C2212yes—
232#2361C2212yes—
233#2361C2212yes—
234#2356C2212yes—
235#2355C2211yescharacteristic
236#2354C2211yescharacteristic
237#2353C2214yes—
238#2352C2212yes—
239Q8×C4⋊C4C2211yescharacteristic
240D4×C4⋊C4C2211yescharacteristic
241D4×C4⋊C4C2212yes—
242#2346C2212yes—
243#2343C2214yes—
244#2341C2212yes—
245#2339C2212yes—
246#2339C2212yes—
247#2339C2212yes—
248#2335C2214yes—
249#2333C2214yes—
250#2328C2212yes—
251#2328C2214yes—
252#2325C2214yes—
253#2325C2214yes—
254#2324C2212yes—
255#2320C2212yes—
256#2318C2214yes—
257#2311C2212yes—
258C4×C4⋊Q8C2211yescharacteristic
259C4×C4⋊Q8C2211yescharacteristic
260C4×C4⋊Q8C2211yescharacteristic
261C4×#127C2211yescharacteristic
262C4×#127C2211yescharacteristic
263C4×#127C2211yescharacteristic
264C4×#125C2211yescharacteristic
265C4×#126C2212yes—
266C4×#124C2211yescharacteristic
267C4×#124C2211yescharacteristic
268C4×#124C2212yes—
269C4×#124C2211yescharacteristic
270C4×#124C2211yescharacteristic
271C4×#124C2211yescharacteristic
272C4×C22⋊Q8C2211yescharacteristic
273C4×#123C2212yes—
274C4×#121C2212yes—
275C4×#121C2212yes—
276C4×#121C2212yes—
277C4×#121C2211yescharacteristic
278C4×#121C2212yes—
279C4×#121C2212yes—
280C4×#121C2212yes—
281C4×#121C2212yes—
282C4×#121C2212yes—
283#2298C2212yes—
284#2297C2212yes—
285#2297C2211yescharacteristic
286#2297C2211yescharacteristic
287#2295C2211yescharacteristic
288#2293C2212yes—
289#2293C2212yes—
290#2293C2211yescharacteristic
291#2293C2212yes—
292#2293C2212yes—
293C2×#389C2212yes—
294#2290C2212yes—
295#2285C2211yescharacteristic
296C42×D4C2212yes—
297C42×D4C2212yes—
298C2×C43C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303#554—44no—
304#554—44no—
305#553—416no—
306#550—216no—
307#550—44no—
308#550—44no—
309#532—28no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×#127C2311yescharacteristic
313C2×#127C2311yescharacteristic
314C2×#127C2312yes—
315C2×#127C2314yes—
316C2×#127C2312yes—
317C2×#127C2312yes—
318#529—48no—
319C2×#126C2312yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#125C2311yescharacteristic
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2314yes—
327C2×#124C2311yescharacteristic
328C2×#124C2311yescharacteristic
329C2×#124C2312yes—
330C2×#124C2311yescharacteristic
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#123C2314yes—
334C2×#123C2312yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×#121C2312yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2314yes—
351C2×#121C2314yes—
352C2×#121C2311yescharacteristic
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2314yes—
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367C4×#41—44no—
368C4×#41—44no—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2314yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×#117C2314yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2311yescharacteristic
409C2×#117C2312yes—
410C2×#117C2311yescharacteristic
411C2×#117C2312yes—
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2314yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2312yes—
416C22×C42C2311yescharacteristic
417C22×C42C2311yescharacteristic
418C22×C42C2311yescharacteristic
419C22×C42C2311yescharacteristic
420C22×C42C2311yescharacteristic
421C22×C42C2312yes—
422C22×C42C2311yescharacteristic
423C22×C42C2312yes—
424C22×C42C2311yescharacteristic
425#401C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#399C2314yes—
439#399C2314yes—
440#399C2314yes—
441#399C2314yes—
442#399C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#395C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#393C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#391C2311yescharacteristic
506#391C2312yes—
507#391C2311yescharacteristic
508#391C2311yescharacteristic
509#391C2311yescharacteristic
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2311yescharacteristic
516#391C2311yescharacteristic
517#391C2311yescharacteristic
518#391C2311yescharacteristic
519#391C2312yes—
520#391C2312yes—
521#390C2311yescharacteristic
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2311yescharacteristic
526#390C2311yescharacteristic
527#390C2312yes—
528#390C2312yes—
529#390C2311yescharacteristic
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2314yes—
538#390C2314yes—
539#390C2314yes—
540#390C2314yes—
541#390C2311yescharacteristic
542#390C2314yes—
543#390C2312yes—
544#390C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2311yescharacteristic
548#390C2311yescharacteristic
549#390C2312yes—
550#390C2311yescharacteristic
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#389C2311yescharacteristic
556#389C2311yescharacteristic
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2312yes—
567#389C2314yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2311yescharacteristic
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2312yes—
579#389C2312yes—
580#389C2311yescharacteristic
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2314yes—
586#389C2314yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2314yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2312yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2314yes—
625#388C2314yes—
626#388C2312yes—
627#388C2312yes—
628#388C2312yes—
629#388C2314yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2314yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2312yes—
652#387C2314yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2314yes—
662#387C2312yes—
663#387C2314yes—
664#387C2312yes—
665#386C2314yes—
666#386C2314yes—
667#386C2312yes—
668#386C2312yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
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#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2312yes—
699#386C2314yes—
700#386C2312yes—
701#386C2314yes—
702#386C2312yes—
703#386C2312yes—
704#386C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2312yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2312yes—
715#385C2312yes—
716#385C2312yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#384C2311yescharacteristic
724#384C2311yescharacteristic
725#384C2311yescharacteristic
726#384C2311yescharacteristic
727#384C2312yes—
728#384C2312yes—
729#383C2312yes—
730#383C2314yes—
731#383C2314yes—
732#382C2311yescharacteristic
733#382C2312yes—
734#382C2311yescharacteristic
735#382C2314yes—
736#382C2314yes—
737#382C2314yes—
738#382C2312yes—
739#382C2311yescharacteristic
740#382C2312yes—
741#382C2311yescharacteristic
742#381C2314yes—
743#381C2314yes—
744#381C2314yes—
745#381C2314yes—
746#381C2312yes—
747#380C2311yescharacteristic
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2314yes—
753#380C2314yes—
754#380C2312yes—
755#380C2314yes—
756#380C2314yes—
757#380C2312yes—
758#380C2311yescharacteristic
759#380C2312yes—
760#380C2314yes—
761#380C2312yes—
762#380C2312yes—
763#380C2314yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808#376C2312yes—
809#376C2314yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C43C2311yescharacteristic
820C2×#41—28no—
821C2×#41—24no—
822C2×#41—42no—
823C2×#41—42no—
824C2×#41—42no—
825C2×#41—42no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41#4118yescomplemented
832C22×Q8C2411yescharacteristic
833C22×Q8C2411yescharacteristic
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2412yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2412yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2412yes—
865C23×C4C2414yes—
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2411yescharacteristic
869C23×C4C2414yes—
870C23×C4C2414yes—
871C23×C4C2414yes—
872C23×C4C2414yes—
873C23×C4C2414yes—
874C23×C4C2411yescharacteristic
875C23×C4C2412yes—
876C4⋊Q8—24no—
877C4⋊Q8—24no—
878#127—24no—
879#127—28no—
880#127—216no—
881#127—24no—
882#127—44no—
883#127—44no—
884#126—28no—
885#126—48no—
886#126—48no—
887#125—42no—
888#125—44no—
889#125—44no—
890#125—44no—
891#125—48no—
892#124—24no—
893#124—24no—
894#124—44no—
895#124—44no—
896#124—42no—
897#124—44no—
898#123—48no—
899#123—48no—
900#123—44no—
901#123—48no—
902#123—48no—
903C22⋊Q8—48no—
904C22⋊Q8—48no—
905C22⋊Q8—44no—
906C22⋊Q8—42no—
907C22⋊Q8—44no—
908C22⋊Q8—44no—
909#121—28no—
910#121—28no—
911#121—28no—
912#121—216no—
913#121—28no—
914#121—216no—
915#121—44no—
916#121—48no—
917#121—48no—
918#121—48no—
919#121—48no—
920#121—48no—
921#121—48no—
922#121—48no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—44no—
927#121—42no—
928#121—44no—
929#121—44no—
930#121—44no—
931#121—44no—
932C4×Q8—28no—
933C4×Q8—24no—
934C4×Q8—24no—
935C4×Q8—24no—
936C4×Q8—44no—
937C4×Q8—42no—
938C4×Q8—42no—
939C4×D4—28no—
940C4×D4—28no—
941C4×D4—28no—
942C4×D4—216no—
943C4×D4—24no—
944C4×D4—24no—
945C4×D4—24no—
946C4×D4—28no—
947C4×D4—48no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—42no—
953C4×D4—42no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—48no—
964C4×D4—44no—
965C4×D4—44no—
966C4×D4—48no—
967C4×D4—48no—
968#117—216no—
969#117—44no—
970#117—44no—
971#117—44no—
972#117—44no—
973#117—42no—
974#117—42no—
975C2×C4⋊C4—44no—
976C2×C4⋊C4—48no—
977C2×C4⋊C4—44no—
978C2×C4⋊C4—44no—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C42—24no—
1098C2×C42—24no—
1099C2×C42—24no—
1100C2×C42—44no—
1101C2×C42—44no—
1102C2×C42—42no—
1103C2×C42—42no—
1104C2×C42—42no—
1105C2×C42—42no—
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2414yes—
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2412yes—
1123C2×C42C2414yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2414yes—
1134C2×C42C2414yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207C24C2512yes—
1208C24C2512yes—
1209C24C2514yes—
1210C24C2512yes—
1211C24C2511yescharacteristic
1212#41—416no—
1213#41—416no—
1214#41—816no—
1215#41—816no—
1216C2×Q8—22no—
1217C2×Q8—22no—
1218C2×Q8—22no—
1219C2×Q8—22no—
1220C2×Q8—24no—
1221C2×Q8—22no—
1222C2×Q8—22no—
1223C2×Q8—22no—
1224C2×Q8—22no—
1225C2×Q8—42no—
1226C2×Q8—42no—
1227C2×Q8C2×#4114yes—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—28no—
1232C2×D4—24no—
1233C2×D4—28no—
1234C2×D4—28no—
1235C2×D4—28no—
1236C2×D4—24no—
1237C2×D4—22no—
1238C2×D4—28no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—22no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—24no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—42no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—42no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4C2×#4114yes—
1287C2×D4C2×#4118yes—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—24no—
1293C22×C4—24no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—28no—
1311C22×C4—24no—
1312C22×C4—28no—
1313C22×C4—24no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—41no—
1317C22×C4—41no—
1318C22×C4—41no—
1319C22×C4—41no—
1320C22×C4—41no—
1321C22×C4—41no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—42no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—42no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—42no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4C2×#4114yes—
1347C22×C4C2×#4118yes—
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2511yescharacteristic
1351C22×C4C2511yescharacteristic
1352C22×C4C2511yescharacteristic
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2514yes—
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2514yes—
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2512yes—
1366C22×C4C2512yes—
1367C22×C4C2512yes—
1368C22×C4C2514yes—
1369C22×C4C2512yes—
1370C22×C4C2511yescharacteristic
1371C22×C4C2511yescharacteristic
1372C22×C4C2511yescharacteristic
1373C22×C4C2511yescharacteristic
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—28no—
1382C4⋊C4—24no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—24no—
1386C4⋊C4—28no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—28no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—24no—
1393C4⋊C4—22no—
1394C4⋊C4—24no—
1395C4⋊C4—22no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—24no—
1399C4⋊C4—24no—
1400C4⋊C4—22no—
1401C4⋊C4—24no—
1402C4⋊C4—22no—
1403C4⋊C4—24no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—22no—
1407C4⋊C4—24no—
1408C4⋊C4—22no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—42no—
1424C4⋊C4—44no—
1425C4⋊C4—44no—
1426C4⋊C4—42no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—42no—
1430C4⋊C4—44no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C22⋊C4—28no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—28no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—28no—
1442C22⋊C4—28no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—28no—
1452C22⋊C4—24no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—44no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—44no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—42no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—44no—
1490C22⋊C4—42no—
1491C22⋊C4—44no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C42—22no—
1497C42—22no—
1498C42—22no—
1499C42—22no—
1500C42—28no—
1501C42—24no—
1502C42—22no—
1503C42—22no—
1504C42—22no—
1505C42—22no—
1506C42—22no—
1507C42—22no—
1508C42—24no—
1509C42—24no—
1510C42—28no—
1511C42—24no—
1512C42—22no—
1513C42—22no—
1514C42—22no—
1515C42—22no—
1516C42—22no—
1517C42—22no—
1518C42—22no—
1519C42—22no—
1520C42—24no—
1521C42—41no—
1522C42—41no—
1523C42—41no—
1524C42—41no—
1525C42—41no—
1526C42—41no—
1527C42—41no—
1528C42—41no—
1529C42—42no—
1530C42—42no—
1531C42—42no—
1532C42—42no—
1533C42—44no—
1534C42—44no—
1535C42H(5,𝔽2)14yes—
1536C42H(5,𝔽2)14yes—
1537C23—22no—
1538C23—22no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—22no—
1544C23—22no—
1545C23—22no—
1546C23—22no—
1547C23—21no—
1548C23—21no—
1549C23—22no—
1550C23—22no—
1551C23—24no—
1552C23—22no—
1553C23—24no—
1554C23—22no—
1555C23—22no—
1556C23—22no—
1557C23—24no—
1558C23—24no—
1559C23—22no—
1560C23—22no—
1561C23—22no—
1562C23—24no—
1563C23—22no—
1564C23—22no—
1565C23—22no—
1566C23—24no—
1567C23—24no—
1568C23—22no—
1569C23—22no—
1570C23C22×#4114yes—
1571C23C22×#4112yes—
1572C23C2611yescharacteristic
1573Q8—28no—
1574Q8—44no—
1575Q8—44no—
1576Q8—84no—
1577D4—28no—
1578D4—48no—
1579D4—48no—
1580D4—48no—
1581D4—48no—
1582D4—44no—
1583D4—48no—
1584D4—44no—
1585D4—48no—
1586D4—84no—
1587D4—88no—
1588D4—88no—
1589D4—88no—
1590D4—88no—
1591D4—84no—
1592D4—88no—
1593D4—88no—
1594D4—88no—
1595D4—164no—
1596D4—164no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—28no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—24no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—24no—
1626C2×C4—24no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—24no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—24no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—22no—
1656C2×C4—24no—
1657C2×C4—22no—
1658C2×C4—24no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—24no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—24no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—48no—
1676C2×C4—44no—
1677C2×C4—44no—
1678C2×C4—44no—
1679C2×C4—44no—
1680C2×C4—48no—
1681C2×C4—44no—
1682C2×C4—48no—
1683C2×C4—44no—
1684C2×C4—48no—
1685C2×C4—48no—
1686C2×C4—88no—
1687C2×C4—84no—
1688C2×C4—84no—
1689C2×C4—88no—
1690C2×C4—88no—
1691C2×C4—88no—
1692C2×C4—164no—
1693C2×C4—164no—
1694C2×C4C22×#4112yes—
1695C2×C4C22×#4114yes—
1696C2×C4C22×#4112yes—
1697C2×C4C2×H(5,𝔽2)12yes—
1698C2×C4C2×H(5,𝔽2)12yes—
1699C2×C4C2×H(5,𝔽2)12yes—
1700C2×C4C2×H(5,𝔽2)12yes—
1701C2×C4C2×H(5,𝔽2)12yes—
1702C2×C4C2×H(5,𝔽2)12yes—
1703C2×C4#58512yes—
1704C2×C4#58512yes—
1705C2×C4#58512yes—
1706C2×C4#58512yes—
1707C22—22no—
1708C22—24no—
1709C22—22no—
1710C22—24no—
1711C22—22no—
1712C22—24no—
1713C22—42no—
1714C22—41no—
1715C22—41no—
1716C22—42no—
1717C22—41no—
1718C22—42no—
1719C22—41no—
1720C22—42no—
1721C22—42no—
1722C22—44no—
1723C22—42no—
1724C22—44no—
1725C22—42no—
1726C22—42no—
1727C22—42no—
1728C22—42no—
1729C22—44no—
1730C22—42no—
1731C22—42no—
1732C22—44no—
1733C22—42no—
1734C22—44no—
1735C22—42no—
1736C22—42no—
1737C22—42no—
1738C22—44no—
1739C22—44no—
1740C22—42no—
1741C22—42no—
1742C22C23×#4111yescharacteristic
1743C22C22×H(5,𝔽2)11yescharacteristic
1744C22C22×H(5,𝔽2)11yescharacteristic
1745C22C2×#58511yescharacteristic
1746C22C2×#58511yescharacteristic
1747C22C2×#58511yescharacteristic
1748C22C2×#58511yescharacteristic
1749C4—22no—
1750C4—22no—
1751C4—24no—
1752C4—22no—
1753C4—22no—
1754C4—22no—
1755C4—22no—
1756C4—41no—
1757C4—42no—
1758C4—42no—
1759C4—42no—
1760C4—41no—
1761C4—42no—
1762C4—44no—
1763C4—42no—
1764C4—42no—
1765C4—41no—
1766C4—44no—
1767C4—42no—
1768C4—41no—
1769C4—42no—
1770C4—42no—
1771C4—42no—
1772C4—42no—
1773C4—44no—
1774C4—42no—
1775C4—41no—
1776C4—41no—
1777C4#350514yes—
1778C4#356214yes—
1779C2—42no—
1780C2—44no—
1781C2—82no—
1782C2—84no—
1783C2—82no—
1784C2C2×#356211yescharacteristic
1785C2#6275911yescharacteristic
1786C2C2×#350511yescharacteristic
1787C2#6280011yescharacteristic
1788C2#6281611yescharacteristic
1789C2#6283411yescharacteristic
1790C2#6284011yescharacteristic
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. #59693C2semidirect
2. #59660C2semidirect
3. #59647C2semidirect
4. #59475C2semidirect
5. #59435C2semidirect
6. #59419C2semidirect
7. #45914C2semidirect
8. #45593C2semidirect
9. #45592C2semidirect
10. #40308C2semidirect
11. #40150C2semidirect
12. #40148C2semidirect
13. #39938C2semidirect
14. #39865C2semidirect
15. #39850C2semidirect
16. #39284C2semidirect
17. #39191C2semidirect
18. #39169C2semidirect
19. #39069C2semidirect
20. #38976C2semidirect
21. #38952C2semidirect
22. #37498C2semidirect
23. #36995C2semidirect
24. #36638C2semidirect
25. #36631C2semidirect
26. #36492C2semidirect
27. #36455C2semidirect
28. #36410C2semidirect
29. #36392C2semidirect
30. #36275C2semidirect
31. #36263C2semidirect
32. #35038C2semidirect
33. #35029C2semidirect
34. #34477C2semidirect
35. C4×#532C2semidirect
831. C2×#41#41semidirect

Maximal subgroups

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

subgroupindex
#596932
#596602
#596472
#594752
#594352
#594192
#459142
#455932
#455922
#403082
#401502
#401482
#399382
#398652
#398502
#392842
#391912
#391692
#390692
#389762
#389522
#374982
#369952
#366382
#366312
#364922
#364552
#364102
#363922
#362752
#362632
#350382
#350292
#344772
C4×#5322