Finite Group Databasebeta

← #7986707

Subgroups — #7986707

Order 512.

5252 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59640C211yesmaximal, characteristic, complemented
2#59318C212yesmaximal, complemented
3#59304C211yesmaximal, characteristic, complemented
4#59230C211yesmaximal, characteristic, complemented
5#59093C212yesmaximal, complemented
6#50781C214yesmaximal, complemented
7#50769C214yesmaximal, complemented
8#46040C214yesmaximal, complemented
9#45393C212yesmaximal, complemented
10#45215C212yesmaximal, complemented
11#45043C212yesmaximal, complemented
12#44942C212yesmaximal, complemented
13#42762C212yesmaximal, complemented
14#42694C212yesmaximal, complemented
15#42603C212yesmaximal, complemented
16#42467C212yesmaximal, complemented
17#39736C211yesmaximal, characteristic, complemented
18#39626C211yesmaximal, characteristic, complemented
19#39193C211yesmaximal, characteristic, complemented
20#39138C211yesmaximal, characteristic, complemented
21#38505C214yesmaximal, complemented
22#38025C212yesmaximal, complemented
23#37864C212yesmaximal, complemented
24#36596C212yesmaximal, complemented
25#36576C211yesmaximal, characteristic, complemented
26#36488C212yesmaximal, complemented
27#36182C211yesmaximal, characteristic, complemented
28#36126C211yesmaximal, characteristic, complemented
29#35238C212yesmaximal, complemented
30#35230C212yesmaximal, complemented
31#34763C211yesmaximal, characteristic, complemented
32#34708C211yesmaximal, characteristic, complemented
33#34494C211yesmaximal, characteristic, complemented
34#34383C211yesmaximal, characteristic, complemented
35C2×#2355C211yesmaximal, characteristic, complemented
36C2×#553C2212yes—
37C2×#553C2212yes—
38C2×#550C2211yescharacteristic
39C2×#548C2212yes—
40C2×#547C2212yes—
41C2×#532C2212yes—
42C2×#529C2211yescharacteristic
43C2×#529C2212yes—
44C22×C4×Q8C2211yescharacteristic
45#2859C2211yescharacteristic
46#2856C2211yescharacteristic
47#2856C2211yescharacteristic
48#2856C2214yes—
49#2856C2212yes—
50#2854C2212yes—
51#2852C2214yes—
52#2850C2214yes—
53#2830C2214yes—
54#2829C2214yes—
55#2806C2214yes—
56#2803C2214yes—
57#2797C2214yes—
58#2792C2214yes—
59#2790C2214yes—
60#2784C2214yes—
61#2780C2214yes—
62#2779C2214yes—
63#2761C2214yes—
64#2757C2214yes—
65#2751C2214yes—
66#2751C2214yes—
67#2748C2214yes—
68#2741C2214yes—
69#2737C2214yes—
70#2723C2214yes—
71#2723C2214yes—
72#2718C2214yes—
73#2715C2214yes—
74#2714C2214yes—
75#2712C2214yes—
76#2712C2214yes—
77#2709C2214yes—
78#2706C2214yes—
79#2706C2214yes—
80#2706C2214yes—
81#2705C2214yes—
82#2704C2214yes—
83#2702C2214yes—
84#2700C2214yes—
85#2698C2214yes—
86#2691C2214yes—
87#2673C2214yes—
88#2662C2214yes—
89#2662C2214yes—
90#2660C2212yes—
91#2651C2214yes—
92#2650C2214yes—
93#2650C2214yes—
94#2630C2214yes—
95#2625C2212yes—
96#2620C2212yes—
97#2619C2212yes—
98#2595C2214yes—
99#2592C2212yes—
100#2587C2214yes—
101#2582C2212yes—
102#2574C2214yes—
103#2567C2212yes—
104#2566C2212yes—
105#2566C2212yes—
106#2566C2214yes—
107#2563C2212yes—
108#2563C2212yes—
109#2557C2214yes—
110#2554C2214yes—
111#2554C2214yes—
112#2553C2214yes—
113#2552C2211yescharacteristic
114#2552C2212yes—
115#2551C2211yescharacteristic
116#2550C2212yes—
117#2548C2211yescharacteristic
118#2548C2212yes—
119#2548C2212yes—
120#2544C2214yes—
121#2544C2212yes—
122#2543C2214yes—
123#2543C2214yes—
124#2541C2211yescharacteristic
125#2541C2212yes—
126#2541C2212yes—
127#2538C2211yescharacteristic
128#2538C2212yes—
129#2537C2211yescharacteristic
130#2535C2212yes—
131#2525C2214yes—
132#2521C2214yes—
133#2521C2212yes—
134#2519C2212yes—
135#2515C2214yes—
136#2512C2212yes—
137#2512C2214yes—
138#2512C2212yes—
139#2512C2212yes—
140#2512C2212yes—
141#2512C2211yescharacteristic
142#2508C2212yes—
143#2507C2212yes—
144#2506C2211yescharacteristic
145#2505C2214yes—
146#2504C2212yes—
147#2504C2212yes—
148#2501C2212yes—
149#2501C2211yescharacteristic
150#2500C2212yes—
151#2500C2212yes—
152#2496C2212yes—
153#2496C2211yescharacteristic
154#2495C2212yes—
155#2495C2212yes—
156#2492C2212yes—
157#2491C2212yes—
158#2491C2212yes—
159#2491C2211yescharacteristic
160#2490C2212yes—
161#2490C2212yes—
162#2490C2212yes—
163#2488C2214yes—
164#2488C2212yes—
165#2487C2212yes—
166#2486C2211yescharacteristic
167#2481C2212yes—
168#2469C2212yes—
169#2468C2214yes—
170#2461C2214yes—
171#2459C2214yes—
172#2459C2214yes—
173#2458C2212yes—
174#2453C2211yescharacteristic
175#2452C2212yes—
176#2451C2212yes—
177#2450C2214yes—
178#2450C2214yes—
179#2448C2211yescharacteristic
180#2447C2212yes—
181#2445C2212yes—
182#2445C2214yes—
183#2444C2214yes—
184#2443C2214yes—
185#2443C2212yes—
186#2442C2212yes—
187#2442C2211yescharacteristic
188#2441C2212yes—
189#2440C2211yescharacteristic
190#2439C2212yes—
191#2436C2211yescharacteristic
192#2431C2212yes—
193#2430C2214yes—
194#2430C2214yes—
195#2430C2214yes—
196#2430C2214yes—
197#2427C2212yes—
198#2426C2212yes—
199#2426C2214yes—
200#2426C2211yescharacteristic
201#2425C2214yes—
202#2425C2214yes—
203#2425C2214yes—
204#2425C2212yes—
205#2422C2212yes—
206#2422C2212yes—
207#2422C2212yes—
208#2421C2211yescharacteristic
209#2420C2212yes—
210#2420C2212yes—
211#2419C2214yes—
212#2417C2212yes—
213#2416C2212yes—
214#2416C2212yes—
215#2416C2212yes—
216#2416C2214yes—
217#2416C2212yes—
218#2416C2211yescharacteristic
219#2416C2212yes—
220#2416C2211yescharacteristic
221#2409C2211yescharacteristic
222#2407C2212yes—
223#2398C2212yes—
224#2396C2212yes—
225#2396C2212yes—
226#2395C2212yes—
227#2377C2214yes—
228#2376C2214yes—
229#2370C2212yes—
230#2367C2212yes—
231#2366C2211yescharacteristic
232#2366C2212yes—
233#2363C2212yes—
234#2363C2212yes—
235#2361C2212yes—
236#2361C2212yes—
237#2361C2212yes—
238#2361C2212yes—
239#2357C2212yes—
240#2355C2212yes—
241#2355C2211yescharacteristic
242#2355C2211yescharacteristic
243#2355C2212yes—
244#2355C2214yes—
245#2355C2211yescharacteristic
246#2355C2212yes—
247#2355C2212yes—
248#2355C2211yescharacteristic
249#2354C2211yescharacteristic
250#2354C2212yes—
251#2352C2212yes—
252Q8×C4⋊C4C2211yescharacteristic
253#2349C2212yes—
254D4×C4⋊C4C2211yescharacteristic
255D4×C4⋊C4C2211yescharacteristic
256D4×C4⋊C4C2212yes—
257#2345C2212yes—
258#2341C2212yes—
259#2339C2214yes—
260#2339C2212yes—
261#2334C2214yes—
262#2331C2212yes—
263#2328C2212yes—
264#2325C2214yes—
265#2324C2212yes—
266#2324C2212yes—
267#2324C2212yes—
268#2324C2212yes—
269#2324C2212yes—
270#2323C2212yes—
271#2319C2212yes—
272#2317C2212yes—
273#2314C2212yes—
274#2311C2212yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×#127C2211yescharacteristic
277C4×#124C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×#123C2212yes—
280C4×#121C2211yescharacteristic
281C4×#121C2211yescharacteristic
282C4×#121C2214yes—
283C4×#121C2212yes—
284C4×#121C2212yes—
285C4×#121C2211yescharacteristic
286#2295C2211yescharacteristic
287C2×#391C2212yes—
288#2293C2211yescharacteristic
289#2290C2212yes—
290C2×#387C2214yes—
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293C2×#384C2211yescharacteristic
294C2×#382C2212yes—
295C42×D4C2211yescharacteristic
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C4⋊C4C2212yes—
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2312yes—
300C22×#41C2314yes—
301C23×Q8C2311yescharacteristic
302#553—48no—
303#553—48no—
304#550—28no—
305#548—48no—
306#547—48no—
307#532—48no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×#127C2311yescharacteristic
312C2×#127C2312yes—
313C2×#127C2312yes—
314C2×#127C2314yes—
315#529—28no—
316#529—48no—
317C2×#126C2312yes—
318C2×#126C2312yes—
319C2×#126C2312yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#125C2311yescharacteristic
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#124C2311yescharacteristic
328C2×#124C2312yes—
329C2×#124C2314yes—
330C2×#124C2312yes—
331C2×#124C2311yescharacteristic
332C2×#124C2314yes—
333C2×#124C2314yes—
334C2×#123C2312yes—
335C2×#123C2314yes—
336C2×#123C2312yes—
337C2×#123C2312yes—
338C2×#123C2314yes—
339C2×#123C2312yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2314yes—
349C2×#121C2311yescharacteristic
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2311yescharacteristic
356C2×#121C2311yescharacteristic
357C2×#121C2311yescharacteristic
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×C4×Q8—28no—
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2312yes—
402C2×C4×D4C2314yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C22×C4⋊C4C2311yescharacteristic
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2311yescharacteristic
411C22×C4⋊C4C2311yescharacteristic
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2312yes—
416C22×C4⋊C4C2312yes—
417C22×C42C2312yes—
418C22×C42C2311yescharacteristic
419C22×C42C2312yes—
420C22×C42C2311yescharacteristic
421C22×C42C2314yes—
422#400C2314yes—
423#400C2312yes—
424#400C2314yes—
425#400C2312yes—
426#400C2312yes—
427#400C2314yes—
428#400C2314yes—
429#400C2312yes—
430#400C2312yes—
431#399C2314yes—
432#399C2312yes—
433#399C2314yes—
434#399C2312yes—
435#399C2312yes—
436#398C2314yes—
437#398C2314yes—
438#398C2312yes—
439#398C2314yes—
440#398C2314yes—
441#398C2312yes—
442#398C2314yes—
443#398C2314yes—
444#398C2312yes—
445#398C2312yes—
446#398C2312yes—
447#398C2314yes—
448#398C2314yes—
449#397C2312yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2312yes—
463#397C2314yes—
464#397C2312yes—
465#397C2312yes—
466#396C2312yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2312yes—
477#396C2314yes—
478#396C2312yes—
479#396C2314yes—
480#396C2312yes—
481#395C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2312yes—
485#395C2312yes—
486#395C2314yes—
487#394C2312yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2312yes—
499#394C2312yes—
500#394C2314yes—
501#394C2314yes—
502#394C2312yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2314yes—
514#393C2312yes—
515#393C2312yes—
516#393C2312yes—
517#393C2312yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#391C2312yes—
525#391C2311yescharacteristic
526#391C2312yes—
527#391C2314yes—
528#391C2314yes—
529#391C2314yes—
530#391C2312yes—
531#391C2311yescharacteristic
532#391C2312yes—
533#391C2311yescharacteristic
534#391C2314yes—
535#391C2312yes—
536#391C2314yes—
537#391C2314yes—
538#391C2311yescharacteristic
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2311yescharacteristic
543#390C2312yes—
544#390C2314yes—
545#390C2312yes—
546#390C2314yes—
547#390C2312yes—
548#390C2312yes—
549#390C2314yes—
550#390C2312yes—
551#390C2314yes—
552#390C2314yes—
553#390C2312yes—
554#390C2311yescharacteristic
555#390C2312yes—
556#390C2314yes—
557#390C2314yes—
558#390C2312yes—
559#390C2311yescharacteristic
560#390C2312yes—
561#390C2314yes—
562#390C2312yes—
563#390C2314yes—
564#390C2314yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2314yes—
569#390C2311yescharacteristic
570#390C2312yes—
571#390C2311yescharacteristic
572#390C2311yescharacteristic
573#390C2312yes—
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2311yescharacteristic
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2314yes—
582#389C2314yes—
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2312yes—
586#389C2311yescharacteristic
587#389C2312yes—
588#389C2314yes—
589#389C2312yes—
590#389C2312yes—
591#389C2314yes—
592#389C2314yes—
593#389C2314yes—
594#389C2311yescharacteristic
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2312yes—
602#389C2311yescharacteristic
603#389C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2312yes—
628#388C2314yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2314yes—
639#388C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2312yes—
659#387C2312yes—
660#387C2314yes—
661#387C2312yes—
662#387C2312yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2312yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2312yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2312yes—
688#386C2312yes—
689#386C2312yes—
690#386C2312yes—
691#386C2314yes—
692#386C2312yes—
693#386C2312yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2312yes—
708#385C2312yes—
709#385C2314yes—
710#385C2314yes—
711#385C2312yes—
712#385C2312yes—
713#384C2311yescharacteristic
714#384C2311yescharacteristic
715#384C2311yescharacteristic
716#384C2314yes—
717#384C2312yes—
718#384C2311yescharacteristic
719#384C2312yes—
720#384C2312yes—
721#384C2311yescharacteristic
722#384C2311yescharacteristic
723#384C2312yes—
724#384C2312yes—
725#383C2314yes—
726#382C2312yes—
727#382C2314yes—
728#382C2312yes—
729#382C2312yes—
730#382C2312yes—
731#382C2312yes—
732#382C2312yes—
733#382C2312yes—
734#382C2314yes—
735#382C2314yes—
736#382C2311yescharacteristic
737#381C2314yes—
738#381C2312yes—
739#381C2314yes—
740#381C2314yes—
741#380C2311yescharacteristic
742#380C2314yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2314yes—
747#380C2314yes—
748#380C2314yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2314yes—
753#380C2314yes—
754#380C2311yescharacteristic
755#380C2312yes—
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2311yescharacteristic
762#380C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2314yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812#376C2312yes—
813C2×#95C2314yes—
814C2×#95C2314yes—
815C2×#95C2314yes—
816C2×#95C2312yes—
817C2×#95C2314yes—
818C43C2311yescharacteristic
819C2×#41—28no—
820C2×#41—48no—
821C2×#41—48no—
822C2×#41—48no—
823C2×#41—44no—
824C2×#41—44no—
825C22×Q8—24no—
826C22×Q8—24no—
827C22×Q8—42no—
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2414yes—
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2414yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2414yes—
862C23×C4C2414yes—
863C23×C4C2411yescharacteristic
864C23×C4C2414yes—
865C23×C4C2414yes—
866C23×C4C2414yes—
867C23×C4C2414yes—
868C4⋊Q8—24no—
869C4⋊Q8—44no—
870C4⋊Q8—44no—
871#127—24no—
872#127—28no—
873#127—44no—
874#127—84no—
875#126—28no—
876#126—44no—
877#126—44no—
878#126—48no—
879#126—48no—
880#126—84no—
881#125—24no—
882#125—44no—
883#125—44no—
884#125—44no—
885#124—24no—
886#124—44no—
887#124—48no—
888#124—42no—
889#124—44no—
890#124—48no—
891#124—84no—
892#123—28no—
893#123—48no—
894#123—48no—
895#123—48no—
896#123—44no—
897#123—44no—
898#123—44no—
899#123—48no—
900#123—84no—
901C22⋊Q8—24no—
902C22⋊Q8—44no—
903C22⋊Q8—48no—
904C22⋊Q8—48no—
905C22⋊Q8—42no—
906C22⋊Q8—44no—
907#121—24no—
908#121—28no—
909#121—28no—
910#121—24no—
911#121—24no—
912#121—28no—
913#121—216no—
914#121—28no—
915#121—24no—
916#121—44no—
917#121—44no—
918#121—44no—
919#121—44no—
920#121—44no—
921#121—44no—
922#121—44no—
923#121—48no—
924#121—44no—
925#121—48no—
926#121—48no—
927#121—48no—
928#121—48no—
929#121—82no—
930C4×Q8—24no—
931C4×Q8—24no—
932C4×Q8—28no—
933C4×Q8—24no—
934C4×Q8—28no—
935C4×Q8—44no—
936C4×Q8—44no—
937C4×Q8#4118yescomplemented
938C4×D4—24no—
939C4×D4—28no—
940C4×D4—28no—
941C4×D4—24no—
942C4×D4—24no—
943C4×D4—28no—
944C4×D4—24no—
945C4×D4—28no—
946C4×D4—48no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—42no—
955C4×D4—48no—
956C4×D4—48no—
957C4×D4—48no—
958C4×D4—84no—
959C4×D4—82no—
960#117—28no—
961#117—44no—
962#117—44no—
963#117—44no—
964#117—44no—
965C2×C4⋊C4—24no—
966C2×C4⋊C4—28no—
967C2×C4⋊C4—24no—
968C2×C4⋊C4—28no—
969C2×C4⋊C4—24no—
970C2×C4⋊C4—44no—
971C2×C4⋊C4—44no—
972C2×C4⋊C4—44no—
973C2×C4⋊C4—82no—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C42—28no—
1106C2×C42—24no—
1107C2×C42—28no—
1108C2×C42—24no—
1109C2×C42—84no—
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2411yescharacteristic
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2412yes—
1123C2×C42C2411yescharacteristic
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2414yes—
1130C2×C42C2414yes—
1131C2×C42C2411yescharacteristic
1132C2×C42C2414yes—
1133C2×C42C2411yescharacteristic
1134C2×C42C2414yes—
1135C2×C42C2414yes—
1136C2×C42C2414yes—
1137C2×C42C2414yes—
1138C2×C42C2412yes—
1139C2×C42C2411yescharacteristic
1140#95C2412yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2411yescharacteristic
1168#95C2411yescharacteristic
1169#95C2412yes—
1170#95C2411yescharacteristic
1171#95C2411yescharacteristic
1172#95C2411yescharacteristic
1173#95C2411yescharacteristic
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202C24C2512yes—
1203C24C2511yescharacteristic
1204C24C2512yes—
1205C24C2514yes—
1206C24C2511yescharacteristic
1207#41—832no—
1208#41—816no—
1209C2×Q8—24no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—24no—
1213C2×Q8—22no—
1214C2×Q8—24no—
1215C2×Q8—22no—
1216C2×Q8—22no—
1217C2×Q8—42no—
1218C2×Q8—42no—
1219C2×Q8—44no—
1220C2×Q8—44no—
1221C2×Q8—42no—
1222C2×Q8—44no—
1223C2×Q8—416no—
1224C2×Q8C2×#4114yes—
1225C2×D4—22no—
1226C2×D4—24no—
1227C2×D4—22no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—28no—
1231C2×D4—28no—
1232C2×D4—24no—
1233C2×D4—22no—
1234C2×D4—24no—
1235C2×D4—28no—
1236C2×D4—24no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—28no—
1244C2×D4—28no—
1245C2×D4—24no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—22no—
1251C2×D4—24no—
1252C2×D4—28no—
1253C2×D4—24no—
1254C2×D4—22no—
1255C2×D4—42no—
1256C2×D4—44no—
1257C2×D4—42no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—42no—
1262C2×D4—44no—
1263C2×D4—42no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—22no—
1285C22×C4—24no—
1286C22×C4—24no—
1287C22×C4—28no—
1288C22×C4—22no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—22no—
1302C22×C4—24no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—28no—
1306C22×C4—42no—
1307C22×C4—42no—
1308C22×C4—41no—
1309C22×C4—42no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—41no—
1318C22×C4—41no—
1319C22×C4—44no—
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×C4H(5,𝔽2)14yes—
1329C22×C4H(5,𝔽2)14yes—
1330C22×C4C2511yescharacteristic
1331C22×C4C2511yescharacteristic
1332C22×C4C2511yescharacteristic
1333C22×C4C2511yescharacteristic
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2514yes—
1343C22×C4C2512yes—
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C22×C4C2514yes—
1347C22×C4C2511yescharacteristic
1348C22×C4C2514yes—
1349C22×C4C2512yes—
1350C22×C4C2511yescharacteristic
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C22×C4C2511yescharacteristic
1357C22×C4C2512yes—
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—22no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—24no—
1370C4⋊C4—22no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—22no—
1374C4⋊C4—24no—
1375C4⋊C4—28no—
1376C4⋊C4—24no—
1377C4⋊C4—22no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—22no—
1386C4⋊C4—24no—
1387C4⋊C4—22no—
1388C4⋊C4—24no—
1389C4⋊C4—22no—
1390C4⋊C4—24no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—44no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—41no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—42no—
1408C4⋊C4—44no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4C2×#4114yes—
1425C4⋊C4C2×#4118yes—
1426C4⋊C42−1+414yes—
1427C22⋊C4—22no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—28no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—22no—
1441C22⋊C4—24no—
1442C22⋊C4—22no—
1443C22⋊C4—24no—
1444C22⋊C4—28no—
1445C22⋊C4—28no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—28no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—44no—
1456C22⋊C4—41no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—44no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—42no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—44no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—44no—
1491C42—22no—
1492C42—22no—
1493C42—24no—
1494C42—22no—
1495C42—24no—
1496C42—22no—
1497C42—24no—
1498C42—22no—
1499C42—22no—
1500C42—24no—
1501C42—24no—
1502C42—24no—
1503C42—24no—
1504C42—22no—
1505C42—24no—
1506C42—22no—
1507C42—24no—
1508C42—22no—
1509C42—22no—
1510C42—44no—
1511C42—44no—
1512C42—44no—
1513C42—44no—
1514C42—44no—
1515C42—44no—
1516C42—41no—
1517C42—44no—
1518C42—41no—
1519C42C2×#4114yes—
1520C42C2×#4118yes—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—22no—
1526C23—21no—
1527C23—22no—
1528C23—24no—
1529C23—21no—
1530C23—22no—
1531C23—21no—
1532C23—24no—
1533C23—22no—
1534C23—24no—
1535C23—22no—
1536C23—22no—
1537C23—22no—
1538C23—24no—
1539C23—22no—
1540C23—21no—
1541C23—22no—
1542C23—22no—
1543C23—21no—
1544C23—21no—
1545C23—24no—
1546C23—24no—
1547C23—22no—
1548C23—22no—
1549C23—24no—
1550C23—22no—
1551C23—22no—
1552C23—21no—
1553C23C2×H(5,𝔽2)12yes—
1554C23C2×H(5,𝔽2)12yes—
1555C23#58512yes—
1556C23C2611yescharacteristic
1557Q8—28no—
1558Q8—48no—
1559Q8—44no—
1560Q8—84no—
1561Q8—88no—
1562D4—44no—
1563D4—48no—
1564D4—416no—
1565D4—48no—
1566D4—44no—
1567D4—48no—
1568D4—48no—
1569D4—44no—
1570D4—84no—
1571D4—84no—
1572D4—88no—
1573D4—84no—
1574D4—88no—
1575D4—88no—
1576D4—88no—
1577D4—164no—
1578D4—164no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—28no—
1592C2×C4—28no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—24no—
1617C2×C4—24no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—24no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—24no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—24no—
1644C2×C4—22no—
1645C2×C4—24no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—24no—
1652C2×C4—24no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—44no—
1660C2×C4—48no—
1661C2×C4—48no—
1662C2×C4—48no—
1663C2×C4—48no—
1664C2×C4—44no—
1665C2×C4—48no—
1666C2×C4—44no—
1667C2×C4—48no—
1668C2×C4—82no—
1669C2×C4—88no—
1670C2×C4—88no—
1671C2×C4—88no—
1672C2×C4—88no—
1673C2×C4—164no—
1674C2×C4—164no—
1675C2×C4C22×#4112yes—
1676C2×C4C22×#4114yes—
1677C2×C4C22×#4114yes—
1678C2×C4C22×#4112yes—
1679C2×C4C22×#4112yes—
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×C4C2×2−1+414yes—
1685C2×C4C2×2−1+412yes—
1686C2×C4#58512yes—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—42no—
1694C22—44no—
1695C22—41no—
1696C22—42no—
1697C22—41no—
1698C22—42no—
1699C22—44no—
1700C22—42no—
1701C22—42no—
1702C22—44no—
1703C22—42no—
1704C22—41no—
1705C22—42no—
1706C22—41no—
1707C22—44no—
1708C22—42no—
1709C22—42no—
1710C22—41no—
1711C22—44no—
1712C22—42no—
1713C22—41no—
1714C22—42no—
1715C22—42no—
1716C22—44no—
1717C22—42no—
1718C22—44no—
1719C22—41no—
1720C22—42no—
1721C22#354614yes—
1722C22C23×#4111yescharacteristic
1723C22C22×H(5,𝔽2)11yescharacteristic
1724C22C22×H(5,𝔽2)11yescharacteristic
1725C22C22×2−1+411yescharacteristic
1726C22C2×#58511yescharacteristic
1727C22C2×#58511yescharacteristic
1728C22H(7,𝔽2)11yescharacteristic
1729C4—22no—
1730C4—24no—
1731C4—22no—
1732C4—22no—
1733C4—24no—
1734C4—24no—
1735C4—42no—
1736C4—42no—
1737C4—42no—
1738C4—44no—
1739C4—41no—
1740C4—42no—
1741C4—42no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—42no—
1747C4—41no—
1748C4—42no—
1749C4—42no—
1750C4—42no—
1751C4—42no—
1752C4—41no—
1753C4—44no—
1754C4—44no—
1755C4—42no—
1756C4—41no—
1757C4#349414yes—
1758C4#352214yes—
1759C2—24no—
1760C2—82no—
1761C2—84no—
1762C2—81no—
1763C2—82no—
1764C2C2×#354611yescharacteristic
1765C2C2×#352211yescharacteristic
1766C2C2×#349411yescharacteristic
1767C2#6294411yescharacteristic
1768C2#6296111yescharacteristic
1769C2#6300811yescharacteristic
1770C2#6303311yescharacteristic
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. #59640C2semidirect
2. #59318C2semidirect
3. #59304C2semidirect
4. #59230C2semidirect
5. #59093C2semidirect
6. #50781C2semidirect
7. #50769C2semidirect
8. #46040C2semidirect
9. #45393C2semidirect
10. #45215C2semidirect
11. #45043C2semidirect
12. #44942C2semidirect
13. #42762C2semidirect
14. #42694C2semidirect
15. #42603C2semidirect
16. #42467C2semidirect
17. #39736C2semidirect
18. #39626C2semidirect
19. #39193C2semidirect
20. #39138C2semidirect
21. #38505C2semidirect
22. #38025C2semidirect
23. #37864C2semidirect
24. #36596C2semidirect
25. #36576C2semidirect
26. #36488C2semidirect
27. #36182C2semidirect
28. #36126C2semidirect
29. #35238C2semidirect
30. #35230C2semidirect
31. #34763C2semidirect
32. #34708C2semidirect
33. #34494C2semidirect
34. #34383C2semidirect
35. C2×#2355C2semidirect
937. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#596402
#593182
#593042
#592302
#590932
#507812
#507692
#460402
#453932
#452152
#450432
#449422
#427622
#426942
#426032
#424672
#397362
#396262
#391932
#391382
#385052
#380252
#378642
#365962
#365762
#364882
#361822
#361262
#352382
#352302
#347632
#347082
#344942
#343832
C2×#23552