Finite Group Databasebeta

← #8461317

Subgroups — #8461317

Order 512.

4929 conjugacy classes of subgroups.

The subgroup lattice has 1775 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59411C211yesmaximal, characteristic, complemented
2#59305C211yesmaximal, characteristic, complemented
3#59242C211yesmaximal, characteristic, complemented
4#58008C214yesmaximal, complemented
5#57801C214yesmaximal, complemented
6#54619C214yesmaximal, complemented
7#53152C212yesmaximal, complemented
8#53114C212yesmaximal, complemented
9#48095C214yesmaximal, complemented
10#45689C212yesmaximal, complemented
11#45603C212yesmaximal, complemented
12#45104C212yesmaximal, complemented
13#44945C212yesmaximal, complemented
14#42910C212yesmaximal, complemented
15#42524C212yesmaximal, complemented
16#42518C212yesmaximal, complemented
17#42454C212yesmaximal, complemented
18#39725C211yesmaximal, characteristic, complemented
19#39560C212yesmaximal, complemented
20#39528C212yesmaximal, complemented
21#39506C211yesmaximal, characteristic, complemented
22#39341C211yesmaximal, characteristic, complemented
23#39059C212yesmaximal, complemented
24#39005C212yesmaximal, complemented
25#38977C211yesmaximal, characteristic, complemented
26#37625C211yesmaximal, characteristic, complemented
27#37388C212yesmaximal, complemented
28#37361C212yesmaximal, complemented
29#36580C211yesmaximal, characteristic, complemented
30#36493C211yesmaximal, characteristic, complemented
31#36182C211yesmaximal, characteristic, complemented
32#35280C211yesmaximal, characteristic, complemented
33#35178C211yesmaximal, characteristic, complemented
34#34715C211yesmaximal, characteristic, complemented
35#34691C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#553C2212yes—
38C2×#550C2211yescharacteristic
39C2×#537C2212yes—
40C2×#536C2212yes—
41C2×#533C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44C22×C4×Q8C2211yescharacteristic
45#2859C2211yescharacteristic
46#2857C2212yes—
47#2857C2212yes—
48#2856C2211yescharacteristic
49#2856C2211yescharacteristic
50#2854C2212yes—
51#2854C2212yes—
52#2850C2212yes—
53#2850C2212yes—
54#2837C2214yes—
55#2836C2214yes—
56#2834C2214yes—
57#2831C2214yes—
58#2829C2214yes—
59#2829C2214yes—
60#2825C2214yes—
61#2821C2214yes—
62#2790C2214yes—
63#2787C2214yes—
64#2783C2214yes—
65#2783C2214yes—
66#2781C2214yes—
67#2780C2214yes—
68#2779C2214yes—
69#2779C2214yes—
70#2778C2214yes—
71#2778C2214yes—
72#2778C2214yes—
73#2768C2214yes—
74#2765C2214yes—
75#2765C2214yes—
76#2761C2214yes—
77#2759C2214yes—
78#2757C2214yes—
79#2756C2214yes—
80#2756C2214yes—
81#2753C2214yes—
82#2750C2214yes—
83#2748C2214yes—
84#2739C2214yes—
85#2730C2214yes—
86#2729C2214yes—
87#2729C2214yes—
88#2711C2214yes—
89#2708C2214yes—
90#2708C2214yes—
91#2708C2214yes—
92#2708C2214yes—
93#2706C2214yes—
94#2706C2214yes—
95#2703C2214yes—
96#2703C2214yes—
97#2701C2214yes—
98#2701C2214yes—
99#2701C2214yes—
100#2701C2214yes—
101#2698C2214yes—
102#2691C2214yes—
103#2688C2214yes—
104#2687C2214yes—
105#2686C2214yes—
106#2686C2214yes—
107#2676C2214yes—
108#2676C2214yes—
109#2675C2214yes—
110#2672C2214yes—
111#2662C2214yes—
112#2649C2214yes—
113#2645C2212yes—
114#2644C2212yes—
115#2641C2212yes—
116#2635C2214yes—
117#2631C2214yes—
118#2630C2214yes—
119#2630C2214yes—
120#2629C2214yes—
121#2624C2212yes—
122#2621C2212yes—
123#2620C2212yes—
124#2619C2212yes—
125#2618C2214yes—
126#2615C2212yes—
127#2602C2214yes—
128#2592C2212yes—
129#2589C2214yes—
130#2582C2211yescharacteristic
131#2582C2211yescharacteristic
132#2582C2212yes—
133#2580C2212yes—
134#2580C2212yes—
135#2579C2214yes—
136#2571C2212yes—
137#2566C2212yes—
138#2566C2212yes—
139#2563C2214yes—
140#2552C2211yescharacteristic
141#2548C2212yes—
142#2548C2212yes—
143#2548C2211yescharacteristic
144#2546C2212yes—
145#2545C2214yes—
146#2544C2212yes—
147#2541C2212yes—
148#2541C2211yescharacteristic
149#2540C2212yes—
150#2540C2212yes—
151#2538C2211yescharacteristic
152#2538C2212yes—
153#2538C2211yescharacteristic
154#2538C2211yescharacteristic
155#2538C2211yescharacteristic
156#2538C2211yescharacteristic
157#2536C2212yes—
158#2536C2212yes—
159#2535C2212yes—
160#2535C2214yes—
161#2524C2214yes—
162#2518C2214yes—
163#2514C2212yes—
164#2514C2212yes—
165#2513C2212yes—
166#2513C2212yes—
167#2512C2212yes—
168#2512C2212yes—
169#2508C2212yes—
170#2508C2212yes—
171#2508C2212yes—
172#2507C2212yes—
173#2505C2214yes—
174#2504C2212yes—
175#2503C2212yes—
176#2502C2212yes—
177#2500C2212yes—
178#2499C2212yes—
179#2497C2212yes—
180#2495C2212yes—
181#2494C2212yes—
182#2491C2212yes—
183#2489C2212yes—
184#2489C2212yes—
185#2489C2212yes—
186#2489C2212yes—
187#2476C2212yes—
188#2474C2212yes—
189#2473C2212yes—
190#2471C2214yes—
191#2465C2212yes—
192#2463C2214yes—
193#2462C2212yes—
194#2461C2214yes—
195#2459C2212yes—
196#2458C2214yes—
197#2457C2214yes—
198#2456C2214yes—
199#2456C2214yes—
200#2456C2212yes—
201#2454C2212yes—
202#2452C2212yes—
203#2451C2211yescharacteristic
204#2451C2211yescharacteristic
205#2450C2214yes—
206#2449C2212yes—
207#2448C2212yes—
208#2448C2212yes—
209#2447C2212yes—
210#2447C2212yes—
211#2446C2211yescharacteristic
212#2445C2212yes—
213#2445C2212yes—
214#2445C2211yescharacteristic
215#2443C2214yes—
216#2442C2212yes—
217#2442C2212yes—
218#2440C2211yescharacteristic
219#2439C2211yescharacteristic
220#2436C2212yes—
221#2434C2211yescharacteristic
222#2432C2212yes—
223#2432C2212yes—
224#2431C2211yescharacteristic
225#2431C2212yes—
226#2429C2211yescharacteristic
227#2428C2212yes—
228#2428C2212yes—
229#2427C2212yes—
230#2427C2212yes—
231#2426C2211yescharacteristic
232#2425C2214yes—
233#2425C2214yes—
234#2423C2211yescharacteristic
235#2422C2212yes—
236#2422C2212yes—
237#2422C2212yes—
238#2422C2212yes—
239#2420C2211yescharacteristic
240#2417C2211yescharacteristic
241#2417C2212yes—
242#2417C2214yes—
243#2417C2212yes—
244#2417C2212yes—
245#2416C2212yes—
246#2416C2212yes—
247#2416C2212yes—
248#2414C2211yescharacteristic
249#2409C2211yescharacteristic
250#2407C2212yes—
251#2407C2212yes—
252#2407C2211yescharacteristic
253#2399C2212yes—
254#2396C2212yes—
255#2392C2212yes—
256#2388C2212yes—
257#2379C2214yes—
258#2370C2212yes—
259#2367C2212yes—
260#2366C2212yes—
261#2363C2212yes—
262#2361C2212yes—
263#2361C2212yes—
264#2361C2212yes—
265#2361C2212yes—
266#2355C2211yescharacteristic
267#2355C2211yescharacteristic
268#2355C2211yescharacteristic
269#2349C2212yes—
270D4×C4⋊C4C2212yes—
271D4×C4⋊C4C2211yescharacteristic
272#2347C2212yes—
273#2339C2212yes—
274#2324C2212yes—
275#2319C2212yes—
276#2318C2214yes—
277#2316C2212yes—
278#2314C2212yes—
279#2311C2212yes—
280#2311C2212yes—
281C4×C4⋊Q8C2211yescharacteristic
282C4×#127C2211yescharacteristic
283C4×#124C2211yescharacteristic
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×#123C2212yes—
289C4×#121C2211yescharacteristic
290C4×#121C2212yes—
291C4×#121C2212yes—
292#2297C2212yes—
293#2295C2211yescharacteristic
294#2293C2211yescharacteristic
295#2290C2212yes—
296#2285C2211yescharacteristic
297C2×#384C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×Q8C2311yescharacteristic
303#559—44no—
304#553—48no—
305#550—44no—
306#537—48no—
307#536—48no—
308#533—44no—
309#532—44no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2314yes—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×#127C2311yescharacteristic
316C2×#127C2312yes—
317C2×#127C2312yes—
318C2×#127C2311yescharacteristic
319C2×#126C2314yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2314yes—
327C2×#124C2314yes—
328C2×#124C2312yes—
329C2×#124C2311yescharacteristic
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2314yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2311yescharacteristic
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2311yescharacteristic
357C2×#121C2311yescharacteristic
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2314yes—
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C4×#41—44no—
371C2×C4×Q8—44no—
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2312yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2314yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2311yescharacteristic
407C2×#117C2312yes—
408C22×C4⋊C4C2311yescharacteristic
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2312yes—
414C22×C42C2311yescharacteristic
415C22×C42C2311yescharacteristic
416C22×C42C2312yes—
417C22×C42C2312yes—
418#401C2314yes—
419#401C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2312yes—
430#400C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2312yes—
436#398C2314yes—
437#398C2314yes—
438#398C2312yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2312yes—
443#398C2314yes—
444#398C2314yes—
445#398C2312yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2312yes—
451#398C2312yes—
452#398C2312yes—
453#398C2312yes—
454#398C2314yes—
455#398C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2312yes—
472#397C2314yes—
473#397C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2312yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2312yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2312yes—
491#396C2312yes—
492#395C2312yes—
493#395C2312yes—
494#395C2312yes—
495#395C2312yes—
496#395C2312yes—
497#395C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2312yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2312yes—
518#394C2312yes—
519#394C2312yes—
520#394C2312yes—
521#394C2312yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#393C2312yes—
526#393C2312yes—
527#393C2314yes—
528#393C2314yes—
529#393C2314yes—
530#393C2314yes—
531#392C2312yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2312yes—
541#392C2314yes—
542#392C2312yes—
543#392C2312yes—
544#391C2311yescharacteristic
545#391C2311yescharacteristic
546#391C2312yes—
547#391C2312yes—
548#391C2314yes—
549#391C2314yes—
550#391C2312yes—
551#391C2312yes—
552#391C2312yes—
553#391C2311yescharacteristic
554#391C2311yescharacteristic
555#391C2312yes—
556#391C2312yes—
557#391C2312yes—
558#391C2311yescharacteristic
559#391C2312yes—
560#391C2311yescharacteristic
561#391C2311yescharacteristic
562#391C2311yescharacteristic
563#391C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2314yes—
568#390C2314yes—
569#390C2311yescharacteristic
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2314yes—
576#390C2314yes—
577#390C2311yescharacteristic
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2311yescharacteristic
590#390C2314yes—
591#390C2311yescharacteristic
592#390C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2311yescharacteristic
596#389C2312yes—
597#389C2314yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2314yes—
603#389C2314yes—
604#389C2312yes—
605#389C2312yes—
606#389C2311yescharacteristic
607#389C2311yescharacteristic
608#389C2314yes—
609#389C2312yes—
610#389C2312yes—
611#389C2314yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2311yescharacteristic
621#389C2311yescharacteristic
622#389C2311yescharacteristic
623#389C2311yescharacteristic
624#389C2311yescharacteristic
625#388C2314yes—
626#388C2314yes—
627#388C2312yes—
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#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2312yes—
648#388C2312yes—
649#388C2314yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2314yes—
655#388C2312yes—
656#388C2314yes—
657#388C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2314yes—
662#387C2312yes—
663#387C2314yes—
664#387C2312yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2314yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#386C2314yes—
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#386C2314yes—
699#386C2314yes—
700#386C2312yes—
701#386C2312yes—
702#386C2312yes—
703#386C2312yes—
704#386C2312yes—
705#386C2312yes—
706#386C2312yes—
707#386C2314yes—
708#386C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2312yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2312yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2312yes—
730#385C2312yes—
731#385C2312yes—
732#385C2312yes—
733#385C2312yes—
734#385C2312yes—
735#384C2311yescharacteristic
736#384C2311yescharacteristic
737#384C2312yes—
738#384C2312yes—
739#384C2312yes—
740#384C2311yescharacteristic
741#384C2311yescharacteristic
742#384C2312yes—
743#383C2314yes—
744#383C2314yes—
745#382C2314yes—
746#382C2314yes—
747#382C2312yes—
748#382C2312yes—
749#382C2312yes—
750#382C2312yes—
751#382C2314yes—
752#382C2312yes—
753#382C2311yescharacteristic
754#382C2314yes—
755#381C2312yes—
756#381C2314yes—
757#381C2314yes—
758#381C2314yes—
759#380C2314yes—
760#380C2314yes—
761#380C2314yes—
762#380C2314yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2314yes—
767#380C2314yes—
768#380C2312yes—
769#380C2312yes—
770#380C2314yes—
771#380C2314yes—
772#380C2314yes—
773#380C2311yescharacteristic
774#380C2312yes—
775#380C2311yescharacteristic
776#380C2311yescharacteristic
777#380C2312yes—
778#380C2312yes—
779#380C2311yescharacteristic
780#380C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816#376C2312yes—
817C2×#95C2314yes—
818C43C2311yescharacteristic
819C2×#41—28no—
820C2×#41—24no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—42no—
824C2×#41—42no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C22×Q8—24no—
829C22×Q8—42no—
830C22×Q8—42no—
831C22×Q8C2411yescharacteristic
832C22×Q8C2411yescharacteristic
833C22×Q8C2411yescharacteristic
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×Q8C2412yes—
837C22×Q8C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2414yes—
868C23×C4C2412yes—
869C23×C4C2414yes—
870C23×C4C2414yes—
871C23×C4C2414yes—
872C23×C4C2414yes—
873C4⋊Q8—42no—
874C4⋊Q8—42no—
875C4⋊Q8—42no—
876C4⋊Q8—42no—
877C4⋊Q8—48no—
878#127—24no—
879#127—44no—
880#127—42no—
881#127—44no—
882#126—48no—
883#125—44no—
884#125—44no—
885#125—44no—
886#124—44no—
887#124—44no—
888#124—42no—
889#124—48no—
890#124—44no—
891#124—44no—
892#124—48no—
893#123—48no—
894#123—44no—
895#123—48no—
896#123—48no—
897#123—48no—
898#123—84no—
899#123—84no—
900C22⋊Q8—24no—
901C22⋊Q8—44no—
902C22⋊Q8—48no—
903C22⋊Q8—44no—
904C22⋊Q8—42no—
905C22⋊Q8—42no—
906C22⋊Q8—42no—
907C22⋊Q8—42no—
908C22⋊Q8—44no—
909C22⋊Q8—44no—
910C22⋊Q8—44no—
911C22⋊Q8—44no—
912C22⋊Q8—44no—
913C22⋊Q8—84no—
914#121—28no—
915#121—24no—
916#121—28no—
917#121—44no—
918#121—44no—
919#121—48no—
920#121—48no—
921#121—48no—
922#121—48no—
923#121—48no—
924#121—44no—
925#121—44no—
926#121—42no—
927#121—42no—
928#121—44no—
929#121—44no—
930#121—44no—
931#121—82no—
932#121—84no—
933C4×Q8—24no—
934C4×Q8—24no—
935C4×Q8—24no—
936C4×Q8—24no—
937C4×Q8—44no—
938C4×Q8—44no—
939C4×Q8—44no—
940C4×Q8—42no—
941C4×Q8—42no—
942C4×Q8—42no—
943C4×D4—24no—
944C4×D4—24no—
945C4×D4—24no—
946C4×D4—24no—
947C4×D4—48no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—42no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—48no—
959C4×D4—42no—
960C4×D4—44no—
961C4×D4—84no—
962C4×D4—84no—
963C4×D4—82no—
964#117—28no—
965#117—44no—
966#117—44no—
967#117—44no—
968#117—42no—
969C2×C4⋊C4—44no—
970C2×C4⋊C4—42no—
971C2×C4⋊C4—44no—
972C2×C4⋊C4—44no—
973C2×C4⋊C4—44no—
974C2×C4⋊C4—82no—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2411yescharacteristic
1049C2×C22⋊C4C2411yescharacteristic
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2411yescharacteristic
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C42—24no—
1106C2×C42—24no—
1107C2×C42—44no—
1108C2×C42—44no—
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2412yes—
1112C2×C42C2414yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2412yes—
1127C2×C42C2411yescharacteristic
1128C2×C42C2414yes—
1129C2×C42C2412yes—
1130C2×C42C2411yescharacteristic
1131C2×C42C2414yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2414yes—
1135C2×C42C2411yescharacteristic
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2411yescharacteristic
1147#95C2411yescharacteristic
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2411yescharacteristic
1152#95C2412yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
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#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200C24C2514yes—
1201C24C2512yes—
1202C24C2512yes—
1203C24C2511yescharacteristic
1204C24C2511yescharacteristic
1205#41—416no—
1206#41—816no—
1207#41—816no—
1208C2×Q8—22no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—22no—
1213C2×Q8—22no—
1214C2×Q8—22no—
1215C2×Q8—24no—
1216C2×Q8—24no—
1217C2×Q8—22no—
1218C2×Q8—22no—
1219C2×Q8—22no—
1220C2×Q8—22no—
1221C2×Q8—22no—
1222C2×Q8—24no—
1223C2×Q8—42no—
1224C2×Q8—42no—
1225C2×Q8—42no—
1226C2×Q8—42no—
1227C2×Q8—42no—
1228C2×Q8—42no—
1229C2×Q8—416no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—28no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—28no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—22no—
1246C2×D4—24no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—22no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—41no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—44no—
1258C2×D4—42no—
1259C2×D4—44no—
1260C2×D4—42no—
1261C2×D4—44no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—42no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—44no—
1274C2×D4—42no—
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—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—24no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—24no—
1293C22×C4—22no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—22no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—24no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—24no—
1306C22×C4—42no—
1307C22×C4—42no—
1308C22×C4—41no—
1309C22×C4—42no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—44no—
1314C22×C4—41no—
1315C22×C4—42no—
1316C22×C4—44no—
1317C22×C4—41no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4H(5,𝔽2)14yes—
1334C22×C42−1+414yes—
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C22×C4C2514yes—
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2511yescharacteristic
1352C22×C4C2514yes—
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2514yes—
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C22×C4C2511yescharacteristic
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C4⋊C4—24no—
1366C4⋊C4—22no—
1367C4⋊C4—24no—
1368C4⋊C4—22no—
1369C4⋊C4—24no—
1370C4⋊C4—22no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—24no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—24no—
1379C4⋊C4—22no—
1380C4⋊C4—24no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—24no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—44no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—44no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C22⋊C4—28no—
1433C22⋊C4—22no—
1434C22⋊C4—24no—
1435C22⋊C4—22no—
1436C22⋊C4—24no—
1437C22⋊C4—22no—
1438C22⋊C4—24no—
1439C22⋊C4—28no—
1440C22⋊C4—22no—
1441C22⋊C4—24no—
1442C22⋊C4—28no—
1443C22⋊C4—28no—
1444C22⋊C4—22no—
1445C22⋊C4—24no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—44no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—41no—
1458C22⋊C4—44no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
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—42no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—44no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—42no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C42—22no—
1496C42—22no—
1497C42—22no—
1498C42—22no—
1499C42—22no—
1500C42—22no—
1501C42—24no—
1502C42—24no—
1503C42—24no—
1504C42—28no—
1505C42—24no—
1506C42—22no—
1507C42—22no—
1508C42—22no—
1509C42—24no—
1510C42—22no—
1511C42—24no—
1512C42—42no—
1513C42—42no—
1514C42—42no—
1515C42—42no—
1516C42—41no—
1517C42—44no—
1518C42—41no—
1519C42—44no—
1520C42—44no—
1521C42H(5,𝔽2)14yes—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—24no—
1535C23—22no—
1536C23—22no—
1537C23—22no—
1538C23—22no—
1539C23—24no—
1540C23—24no—
1541C23—22no—
1542C23—22no—
1543C23—22no—
1544C23—24no—
1545C23—22no—
1546C23—22no—
1547C23—24no—
1548C23—22no—
1549C23—24no—
1550C23—22no—
1551C23—22no—
1552C23—22no—
1553C23—22no—
1554C23—24no—
1555C23C2×H(5,𝔽2)12yes—
1556C23C2×2−1+412yes—
1557C23C2611yescharacteristic
1558Q8—48no—
1559Q8—44no—
1560Q8—44no—
1561Q8—44no—
1562Q8—44no—
1563Q8—84no—
1564Q8—84no—
1565D4—44no—
1566D4—48no—
1567D4—48no—
1568D4—44no—
1569D4—48no—
1570D4—44no—
1571D4—48no—
1572D4—84no—
1573D4—84no—
1574D4—88no—
1575D4—88no—
1576D4—84no—
1577D4—84no—
1578D4—88no—
1579D4—84no—
1580D4—88no—
1581D4—164no—
1582D4—164no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—28no—
1592C2×C4—28no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—24no—
1604C2×C4—24no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—24no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—24no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—21no—
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—24no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—24no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—24no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—24no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—24no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—44no—
1666C2×C4—48no—
1667C2×C4—48no—
1668C2×C4—44no—
1669C2×C4—44no—
1670C2×C4—48no—
1671C2×C4—48no—
1672C2×C4—84no—
1673C2×C4—82no—
1674C2×C4—84no—
1675C2×C4—88no—
1676C2×C4—164no—
1677C2×C4—164no—
1678C2×C4—164no—
1679C2×C4—164no—
1680C2×C4C2×H(5,𝔽2)12yes—
1681C2×C4C2×H(5,𝔽2)12yes—
1682C2×C4C2×H(5,𝔽2)12yes—
1683C2×C4C2×H(5,𝔽2)12yes—
1684C2×C4C2×H(5,𝔽2)12yes—
1685C2×C4C2×2−1+412yes—
1686C2×C4C2×2−1+412yes—
1687C2×C4#58512yes—
1688C2×C4#58512yes—
1689C2×C4#58512yes—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—22no—
1694C22—22no—
1695C22—22no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—42no—
1705C22—42no—
1706C22—44no—
1707C22—42no—
1708C22—44no—
1709C22—42no—
1710C22—44no—
1711C22—42no—
1712C22—42no—
1713C22—42no—
1714C22—44no—
1715C22—42no—
1716C22—42no—
1717C22—44no—
1718C22—42no—
1719C22—42no—
1720C22—44no—
1721C22—42no—
1722C22—42no—
1723C22—42no—
1724C22—44no—
1725C22C22×H(5,𝔽2)11yescharacteristic
1726C22C22×H(5,𝔽2)11yescharacteristic
1727C22C22×2−1+411yescharacteristic
1728C22C2×#58511yescharacteristic
1729C22C2×#58511yescharacteristic
1730C22C2×#58511yescharacteristic
1731C22H(7,𝔽2)11yescharacteristic
1732C4—22no—
1733C4—22no—
1734C4—22no—
1735C4—22no—
1736C4—41no—
1737C4—42no—
1738C4—41no—
1739C4—42no—
1740C4—42no—
1741C4—41no—
1742C4—44no—
1743C4—41no—
1744C4—42no—
1745C4—42no—
1746C4—42no—
1747C4—41no—
1748C4—42no—
1749C4—42no—
1750C4—44no—
1751C4—41no—
1752C4—44no—
1753C4—42no—
1754C4—41no—
1755C4—42no—
1756C4—42no—
1757C4—42no—
1758C4—42no—
1759C4—42no—
1760C4#354114yes—
1761C4#354214yes—
1762C2—42no—
1763C2—42no—
1764C2—82no—
1765C2—84no—
1766C2—82no—
1767C2C2×#354211yescharacteristic
1768C2C2×#354111yescharacteristic
1769C2#6283511yescharacteristic
1770C2#6292611yescharacteristic
1771C2#6295711yescharacteristic
1772C2#6296111yescharacteristic
1773C2#6303111yescharacteristic
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. #59411C2semidirect
2. #59305C2semidirect
3. #59242C2semidirect
4. #58008C2semidirect
5. #57801C2semidirect
6. #54619C2semidirect
7. #53152C2semidirect
8. #53114C2semidirect
9. #48095C2semidirect
10. #45689C2semidirect
11. #45603C2semidirect
12. #45104C2semidirect
13. #44945C2semidirect
14. #42910C2semidirect
15. #42524C2semidirect
16. #42518C2semidirect
17. #42454C2semidirect
18. #39725C2semidirect
19. #39560C2semidirect
20. #39528C2semidirect
21. #39506C2semidirect
22. #39341C2semidirect
23. #39059C2semidirect
24. #39005C2semidirect
25. #38977C2semidirect
26. #37625C2semidirect
27. #37388C2semidirect
28. #37361C2semidirect
29. #36580C2semidirect
30. #36493C2semidirect
31. #36182C2semidirect
32. #35280C2semidirect
33. #35178C2semidirect
34. #34715C2semidirect
35. #34691C2semidirect

Maximal subgroups

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

subgroupindex
#594112
#593052
#592422
#580082
#578012
#546192
#531522
#531142
#480952
#456892
#456032
#451042
#449452
#429102
#425242
#425182
#424542
#397252
#395602
#395282
#395062
#393412
#390592
#390052
#389772
#376252
#373882
#373612
#365802
#364932
#361822
#352802
#351782
#347152
#346912