Finite Group Databasebeta

← #7657631

Subgroups — #7657631

Order 512.

5273 conjugacy classes of subgroups.

The subgroup lattice has 1802 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42945C212yesmaximal, complemented
2#42923C212yesmaximal, complemented
3#42694C212yesmaximal, complemented
4#42688C212yesmaximal, complemented
5#42036C214yesmaximal, complemented
6#42035C214yesmaximal, complemented
7#41087C214yesmaximal, complemented
8#41068C214yesmaximal, complemented
9#39737C211yesmaximal, characteristic, complemented
10#39735C211yesmaximal, characteristic, complemented
11#39069C212yesmaximal, complemented
12#39064C212yesmaximal, complemented
13#38942C211yesmaximal, characteristic, complemented
14#38940C211yesmaximal, characteristic, complemented
15#37785C212yesmaximal, complemented
16#37780C212yesmaximal, complemented
17#37623C211yesmaximal, characteristic, complemented
18#37618C211yesmaximal, characteristic, complemented
19#37593C212yesmaximal, complemented
20#37587C212yesmaximal, complemented
21#36472C211yesmaximal, characteristic, complemented
22#36449C211yesmaximal, characteristic, complemented
23#36126C211yesmaximal, characteristic, complemented
24#36116C211yesmaximal, characteristic, complemented
25#35923C212yesmaximal, complemented
26#35905C212yesmaximal, complemented
27#35752C212yesmaximal, complemented
28#35682C212yesmaximal, complemented
29#35290C212yesmaximal, complemented
30#35273C211yesmaximal, characteristic, complemented
31#34624C212yesmaximal, complemented
32#34609C211yesmaximal, characteristic, complemented
33#34232C211yesmaximal, characteristic, complemented
34#34207C211yesmaximal, characteristic, complemented
35#34121C211yesmaximal, characteristic, complemented
36C2×#553C2212yes—
37C2×#547C2212yes—
38C2×#537C2212yes—
39C2×#532C2211yescharacteristic
40C2×#532C2211yescharacteristic
41C2×#532C2212yes—
42C2×#529C2212yes—
43C2×#520C2212yes—
44C2×C4×#41C2211yescharacteristic
45#2863C2212yes—
46#2860C2212yes—
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2856C2211yescharacteristic
50#2856C2211yescharacteristic
51#2855C2212yes—
52#2854C2212yes—
53#2843C2214yes—
54#2832C2214yes—
55#2831C2214yes—
56#2829C2214yes—
57#2828C2214yes—
58#2815C2214yes—
59#2775C2214yes—
60#2772C2214yes—
61#2756C2214yes—
62#2756C2214yes—
63#2753C2214yes—
64#2753C2214yes—
65#2749C2214yes—
66#2741C2214yes—
67#2741C2214yes—
68#2741C2214yes—
69#2740C2214yes—
70#2737C2214yes—
71#2737C2214yes—
72#2714C2214yes—
73#2703C2214yes—
74#2703C2214yes—
75#2703C2214yes—
76#2702C2214yes—
77#2700C2214yes—
78#2699C2214yes—
79#2699C2214yes—
80#2696C2214yes—
81#2688C2214yes—
82#2676C2214yes—
83#2663C2214yes—
84#2662C2214yes—
85#2662C2214yes—
86#2661C2214yes—
87#2661C2214yes—
88#2661C2214yes—
89#2660C2212yes—
90#2660C2212yes—
91#2657C2212yes—
92#2652C2214yes—
93#2651C2214yes—
94#2650C2214yes—
95#2648C2214yes—
96#2647C2212yes—
97#2647C2212yes—
98#2641C2212yes—
99#2640C2212yes—
100#2640C2212yes—
101#2635C2212yes—
102#2635C2212yes—
103#2635C2214yes—
104#2632C2212yes—
105#2631C2212yes—
106#2631C2214yes—
107#2630C2214yes—
108#2628C2211yescharacteristic
109#2628C2211yescharacteristic
110#2627C2214yes—
111#2624C2211yescharacteristic
112#2624C2211yescharacteristic
113#2620C2212yes—
114#2620C2212yes—
115#2620C2212yes—
116#2619C2211yescharacteristic
117#2619C2211yescharacteristic
118#2619C2212yes—
119#2615C2211yescharacteristic
120#2615C2211yescharacteristic
121#2615C2212yes—
122#2615C2212yes—
123#2603C2214yes—
124#2602C2214yes—
125#2600C2214yes—
126#2578C2214yes—
127#2578C2214yes—
128#2574C2214yes—
129#2573C2214yes—
130#2572C2214yes—
131#2571C2211yescharacteristic
132#2564C2214yes—
133#2563C2212yes—
134#2562C2212yes—
135#2553C2214yes—
136#2553C2214yes—
137#2552C2211yescharacteristic
138#2552C2211yescharacteristic
139#2551C2211yescharacteristic
140#2547C2211yescharacteristic
141#2547C2211yescharacteristic
142#2541C2211yescharacteristic
143#2541C2211yescharacteristic
144#2538C2212yes—
145#2538C2212yes—
146#2537C2212yes—
147#2537C2212yes—
148#2537C2212yes—
149#2535C2212yes—
150#2535C2212yes—
151#2535C2212yes—
152#2530C2214yes—
153#2525C2214yes—
154#2516C2214yes—
155#2513C2212yes—
156#2511C2212yes—
157#2500C2212yes—
158#2500C2212yes—
159#2497C2212yes—
160#2496C2212yes—
161#2495C2212yes—
162#2495C2212yes—
163#2492C2212yes—
164#2491C2212yes—
165#2490C2212yes—
166#2490C2212yes—
167#2486C2212yes—
168#2485C2212yes—
169#2485C2212yes—
170#2485C2212yes—
171#2478C2214yes—
172#2477C2214yes—
173#2469C2214yes—
174#2467C2214yes—
175#2465C2214yes—
176#2464C2214yes—
177#2464C2214yes—
178#2464C2214yes—
179#2463C2214yes—
180#2461C2214yes—
181#2458C2214yes—
182#2458C2214yes—
183#2457C2214yes—
184#2456C2214yes—
185#2456C2214yes—
186#2453C2212yes—
187#2452C2212yes—
188#2450C2214yes—
189#2448C2212yes—
190#2447C2212yes—
191#2445C2212yes—
192#2445C2212yes—
193#2442C2212yes—
194#2442C2212yes—
195#2441C2212yes—
196#2440C2212yes—
197#2440C2212yes—
198#2439C2212yes—
199#2431C2212yes—
200#2431C2212yes—
201#2430C2214yes—
202#2430C2214yes—
203#2428C2212yes—
204#2428C2212yes—
205#2427C2212yes—
206#2426C2212yes—
207#2422C2212yes—
208#2422C2212yes—
209#2421C2212yes—
210#2420C2212yes—
211#2419C2214yes—
212#2419C2214yes—
213#2416C2212yes—
214#2416C2212yes—
215#2416C2212yes—
216#2416C2212yes—
217#2416C2212yes—
218#2414C2212yes—
219#2414C2212yes—
220#2414C2212yes—
221#2414C2214yes—
222#2407C2214yes—
223#2398C2212yes—
224#2397C2212yes—
225#2392C2214yes—
226#2392C2214yes—
227#2388C2212yes—
228#2388C2212yes—
229#2388C2214yes—
230#2388C2214yes—
231#2366C2211yescharacteristic
232#2366C2211yescharacteristic
233#2365C2211yescharacteristic
234#2365C2211yescharacteristic
235#2363C2212yes—
236#2363C2212yes—
237#2361C2212yes—
238#2361C2212yes—
239#2361C2214yes—
240#2361C2212yes—
241#2361C2212yes—
242#2357C2212yes—
243#2356C2212yes—
244#2355C2211yescharacteristic
245#2355C2211yescharacteristic
246#2354C2211yescharacteristic
247#2354C2211yescharacteristic
248#2354C2211yescharacteristic
249#2354C2211yescharacteristic
250#2354C2212yes—
251#2353C2212yes—
252#2353C2214yes—
253#2353C2212yes—
254#2352C2211yescharacteristic
255#2352C2211yescharacteristic
256#2352C2211yescharacteristic
257#2352C2211yescharacteristic
258#2352C2212yes—
259D4×C4⋊C4C2212yes—
260D4×C4⋊C4C2211yescharacteristic
261D4×C4⋊C4C2211yescharacteristic
262D4×C4⋊C4C2212yes—
263#2345C2212yes—
264#2344C2212yes—
265#2341C2212yes—
266#2339C2212yes—
267#2333C2214yes—
268#2326C2214yes—
269#2324C2212yes—
270#2323C2212yes—
271#2320C2212yes—
272#2319C2212yes—
273#2319C2212yes—
274#2311C2212yes—
275#2311C2212yes—
276C4×C4⋊Q8C2212yes—
277C4×#127C2212yes—
278C4×#127C2212yes—
279C4×#124C2212yes—
280C4×#124C2212yes—
281C4×#124C2212yes—
282C4×#121C2211yescharacteristic
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286#2298C2212yes—
287#2298C2212yes—
288#2297C2212yes—
289#2285C2211yescharacteristic
290C2×#384C2211yescharacteristic
291#2283C2211yescharacteristic
292#2283C2211yescharacteristic
293#2283C2211yescharacteristic
294#2275C2212yes—
295C4×#117C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2314yes—
303#553—48no—
304#547—48no—
305#537—48no—
306#532—28no—
307#532—28no—
308#532—48no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×#127C2311yescharacteristic
314C2×#127C2311yescharacteristic
315C2×#127C2312yes—
316C2×#127C2312yes—
317#529—48no—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2311yescharacteristic
341C2×#121C2311yescharacteristic
342C2×#121C2311yescharacteristic
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2311yescharacteristic
351C2×#121C2311yescharacteristic
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2314yes—
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#121C2314yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2314yes—
362#520—48no—
363C4×#41—28no—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2314yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2314yes—
398C2×#117C2311yescharacteristic
399C2×#117C2311yescharacteristic
400C2×#117C2311yescharacteristic
401C2×#117C2311yescharacteristic
402C2×#117C2311yescharacteristic
403C2×#117C2311yescharacteristic
404C2×#117C2312yes—
405C2×#117C2314yes—
406C2×#117C2311yescharacteristic
407C2×#117C2312yes—
408C2×#117C2312yes—
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2311yescharacteristic
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2311yescharacteristic
415C22×C4⋊C4C2312yes—
416C22×C42C2312yes—
417C22×C42C2311yescharacteristic
418C22×C42C2311yescharacteristic
419C22×C42C2311yescharacteristic
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2312yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2312yes—
431#399C2312yes—
432#399C2314yes—
433#399C2312yes—
434#399C2312yes—
435#399C2312yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#395C2314yes—
471#395C2312yes—
472#395C2312yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2312yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2312yes—
493#394C2312yes—
494#394C2314yes—
495#394C2312yes—
496#394C2312yes—
497#394C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2312yes—
503#394C2312yes—
504#394C2314yes—
505#394C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2312yes—
509#393C2314yes—
510#393C2314yes—
511#393C2312yes—
512#393C2314yes—
513#393C2312yes—
514#393C2312yes—
515#393C2314yes—
516#392C2312yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2312yes—
527#392C2312yes—
528#392C2312yes—
529#392C2312yes—
530#392C2312yes—
531#392C2312yes—
532#392C2314yes—
533#392C2314yes—
534#392C2312yes—
535#392C2312yes—
536#392C2312yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#391C2314yes—
541#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2312yes—
547#391C2312yes—
548#391C2312yes—
549#391C2314yes—
550#390C2311yescharacteristic
551#390C2312yes—
552#390C2314yes—
553#390C2314yes—
554#390C2314yes—
555#390C2312yes—
556#390C2312yes—
557#390C2314yes—
558#390C2314yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2314yes—
565#390C2314yes—
566#390C2314yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2311yescharacteristic
576#390C2311yescharacteristic
577#390C2311yescharacteristic
578#390C2314yes—
579#389C2314yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2311yescharacteristic
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2311yescharacteristic
589#389C2312yes—
590#389C2312yes—
591#389C2314yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2314yes—
598#389C2312yes—
599#389C2312yes—
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
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#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2312yes—
626#388C2312yes—
627#388C2314yes—
628#388C2312yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2314yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2312yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2312yes—
682#386C2312yes—
683#386C2312yes—
684#386C2312yes—
685#386C2312yes—
686#386C2312yes—
687#386C2312yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#384C2312yes—
703#384C2312yes—
704#384C2311yescharacteristic
705#384C2312yes—
706#384C2311yescharacteristic
707#384C2312yes—
708#384C2312yes—
709#384C2311yescharacteristic
710#384C2311yescharacteristic
711#383C2314yes—
712#383C2314yes—
713#383C2312yes—
714#383C2312yes—
715#383C2312yes—
716#382C2314yes—
717#382C2312yes—
718#382C2312yes—
719#382C2311yescharacteristic
720#382C2311yescharacteristic
721#382C2311yescharacteristic
722#382C2311yescharacteristic
723#382C2312yes—
724#382C2311yescharacteristic
725#382C2311yescharacteristic
726#381C2314yes—
727#381C2314yes—
728#381C2314yes—
729#381C2312yes—
730#381C2314yes—
731#381C2312yes—
732#381C2312yes—
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2314yes—
742#380C2314yes—
743#380C2314yes—
744#380C2312yes—
745#380C2312yes—
746#380C2314yes—
747#380C2312yes—
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#380C2311yescharacteristic
751#380C2311yescharacteristic
752#380C2312yes—
753#380C2312yes—
754#380C2314yes—
755#380C2312yes—
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759#380C2311yescharacteristic
760#380C2312yes—
761#380C2311yescharacteristic
762#380C2311yescharacteristic
763#380C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810#376C2312yes—
811#376C2312yes—
812#376C2312yes—
813#376C2312yes—
814#376C2312yes—
815C2×#95C2314yes—
816C2×#95C2312yes—
817C43C2312yes—
818C43C2312yes—
819C2×#41—24no—
820C2×#41—28no—
821C2×#41—28no—
822C2×#41—24no—
823C2×#41—44no—
824C2×#41—42no—
825C2×#41—44no—
826C2×#41—48no—
827C2×#41—48no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—84no—
831C22×Q8C2412yes—
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×Q8C2414yes—
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C22×D4C2411yescharacteristic
840C22×D4C2411yescharacteristic
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C23×C4C2411yescharacteristic
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2414yes—
868C23×C4C2414yes—
869C23×C4C2412yes—
870C23×C4C2414yes—
871C23×C4C2411yescharacteristic
872C23×C4C2411yescharacteristic
873C23×C4C2414yes—
874C23×C4C2414yes—
875C23×C4C2414yes—
876C23×C4C2411yescharacteristic
877C4⋊Q8—24no—
878C4⋊Q8—24no—
879C4⋊Q8—44no—
880C4⋊Q8—44no—
881#127—24no—
882#127—24no—
883#127—44no—
884#127—44no—
885#126—48no—
886#126—48no—
887#125—44no—
888#125—44no—
889#124—28no—
890#124—28no—
891#124—48no—
892#124—44no—
893#124—44no—
894#123—48no—
895#123—48no—
896#123—48no—
897#123—48no—
898#123—84no—
899C22⋊Q8—28no—
900C22⋊Q8—48no—
901C22⋊Q8—48no—
902C22⋊Q8—44no—
903C22⋊Q8—84no—
904#121—24no—
905#121—24no—
906#121—28no—
907#121—28no—
908#121—28no—
909#121—24no—
910#121—24no—
911#121—28no—
912#121—48no—
913#121—48no—
914#121—48no—
915#121—48no—
916#121—44no—
917#121—44no—
918#121—42no—
919#121—42no—
920#121—44no—
921#121—44no—
922#121—44no—
923#121—44no—
924#121—44no—
925#121—48no—
926#121—82no—
927#121—84no—
928#121—82no—
929C4×Q8—24no—
930C4×Q8—24no—
931C4×Q8—48no—
932C4×Q8—44no—
933C4×Q8—44no—
934C4×D4—24no—
935C4×D4—24no—
936C4×D4—24no—
937C4×D4—24no—
938C4×D4—28no—
939C4×D4—24no—
940C4×D4—24no—
941C4×D4—24no—
942C4×D4—24no—
943C4×D4—28no—
944C4×D4—28no—
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—48no—
955C4×D4—44no—
956C4×D4—48no—
957C4×D4—44no—
958C4×D4—48no—
959C4×D4—48no—
960C4×D4—48no—
961C4×D4—84no—
962C4×D4—84no—
963#117—24no—
964#117—24no—
965#117—24no—
966#117—24no—
967#117—24no—
968#117—44no—
969#117—48no—
970#117—42no—
971#117—42no—
972#117—44no—
973#117—44no—
974C2×C4⋊C4—28no—
975C2×C4⋊C4—28no—
976C2×C4⋊C4—24no—
977C2×C4⋊C4—42no—
978C2×C4⋊C4—44no—
979C2×C4⋊C4—44no—
980C2×C4⋊C4—82no—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2411yescharacteristic
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C42—28no—
1107C2×C42—24no—
1108C2×C42—24no—
1109C2×C42#4118yescomplemented
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2414yes—
1127C2×C42C2414yes—
1128C2×C42C2414yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2414yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202C24C2511yescharacteristic
1203C24C2512yes—
1204C24C2514yes—
1205C24C2512yes—
1206C24C2511yescharacteristic
1207C24C2511yescharacteristic
1208#41—416no—
1209#41—432no—
1210#41—816no—
1211#41—832no—
1212C2×Q8—22no—
1213C2×Q8—24no—
1214C2×Q8—24no—
1215C2×Q8—24no—
1216C2×Q8—22no—
1217C2×Q8—24no—
1218C2×Q8—42no—
1219C2×Q8—42no—
1220C2×Q8—41no—
1221C2×Q8—44no—
1222C2×Q8—44no—
1223C2×Q8—44no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—28no—
1233C2×D4—28no—
1234C2×D4—22no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—24no—
1246C2×D4—22no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—42no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—42no—
1275C2×D4—44no—
1276C2×D4—42no—
1277C2×D4—44no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—42no—
1286C2×D4—44no—
1287C2×D4—42no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—22no—
1309C22×C4—24no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—24no—
1315C22×C4—24no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—28no—
1320C22×C4—28no—
1321C22×C4—28no—
1322C22×C4—28no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—44no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—42no—
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×#4114yes—
1348C22×C4C2×#4114yes—
1349C22×C4H(5,𝔽2)14yes—
1350C22×C4C2512yes—
1351C22×C4C2512yes—
1352C22×C4C2511yescharacteristic
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2511yescharacteristic
1357C22×C4C2511yescharacteristic
1358C22×C4C2512yes—
1359C22×C4C2512yes—
1360C22×C4C2514yes—
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2512yes—
1365C22×C4C2512yes—
1366C22×C4C2512yes—
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C22×C4C2514yes—
1370C22×C4C2514yes—
1371C22×C4C2511yescharacteristic
1372C22×C4C2511yescharacteristic
1373C22×C4C2511yescharacteristic
1374C22×C4C2511yescharacteristic
1375C22×C4C2512yes—
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C22×C4C2511yescharacteristic
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—24no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—24no—
1391C4⋊C4—24no—
1392C4⋊C4—28no—
1393C4⋊C4—28no—
1394C4⋊C4—22no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—28no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—22no—
1407C4⋊C4—22no—
1408C4⋊C4—22no—
1409C4⋊C4—42no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—44no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—44no—
1422C4⋊C4—42no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—42no—
1426C4⋊C4—44no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—44no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—42no—
1435C4⋊C4H(5,𝔽2)14yes—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—28no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—28no—
1446C22⋊C4—28no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—28no—
1453C22⋊C4—24no—
1454C22⋊C4—28no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4—44no—
1471C22⋊C4—42no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—42no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—42no—
1489C22⋊C4—44no—
1490C22⋊C4—42no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—42no—
1498C22⋊C4—44no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C42—22no—
1505C42—22no—
1506C42—22no—
1507C42—22no—
1508C42—22no—
1509C42—22no—
1510C42—24no—
1511C42—24no—
1512C42—24no—
1513C42—24no—
1514C42—24no—
1515C42—24no—
1516C42—24no—
1517C42—24no—
1518C42—24no—
1519C42—24no—
1520C42—42no—
1521C42—42no—
1522C42—42no—
1523C42—42no—
1524C42—44no—
1525C42—44no—
1526C42—44no—
1527C42—42no—
1528C42—42no—
1529C42—44no—
1530C42C2×#4114yes—
1531C42C2×#4114yes—
1532C42C2×#4114yes—
1533C42C2×#4114yes—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—24no—
1548C23—22no—
1549C23—22no—
1550C23—21no—
1551C23—22no—
1552C23—24no—
1553C23—24no—
1554C23—22no—
1555C23—21no—
1556C23—22no—
1557C23—22no—
1558C23—22no—
1559C23—21no—
1560C23—24no—
1561C23—22no—
1562C23—22no—
1563C23—24no—
1564C23—22no—
1565C23—21no—
1566C23—22no—
1567C23—22no—
1568C23—24no—
1569C23—21no—
1570C23—21no—
1571C23—22no—
1572C23—24no—
1573C23—22no—
1574C23C22×#4112yes—
1575C23C2×H(5,𝔽2)12yes—
1576C23C2611yescharacteristic
1577Q8—44no—
1578Q8—48no—
1579Q8—48no—
1580Q8—88no—
1581D4—44no—
1582D4—44no—
1583D4—48no—
1584D4—48no—
1585D4—44no—
1586D4—48no—
1587D4—48no—
1588D4—48no—
1589D4—48no—
1590D4—48no—
1591D4—44no—
1592D4—44no—
1593D4—48no—
1594D4—84no—
1595D4—88no—
1596D4—88no—
1597D4—84no—
1598D4—88no—
1599D4—88no—
1600D4—84no—
1601D4—88no—
1602D4—88no—
1603D4—164no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—28no—
1617C2×C4—28no—
1618C2×C4—28no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—24no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—24no—
1639C2×C4—24no—
1640C2×C4—24no—
1641C2×C4—24no—
1642C2×C4—24no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—21no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—24no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—24no—
1670C2×C4—22no—
1671C2×C4—24no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—21no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—44no—
1683C2×C4—48no—
1684C2×C4—44no—
1685C2×C4—44no—
1686C2×C4—48no—
1687C2×C4—48no—
1688C2×C4—44no—
1689C2×C4—82no—
1690C2×C4—82no—
1691C2×C4—88no—
1692C2×C4—88no—
1693C2×C4—88no—
1694C2×C4—88no—
1695C2×C4—84no—
1696C2×C4—164no—
1697C2×C4—164no—
1698C2×C4C22×#4112yes—
1699C2×C4C22×#4112yes—
1700C2×C4C22×#4112yes—
1701C2×C4C22×#4112yes—
1702C2×C4C22×#4112yes—
1703C2×C4C22×#4112yes—
1704C2×C4C2×H(5,𝔽2)12yes—
1705C2×C4C2×H(5,𝔽2)14yes—
1706C2×C4C2×H(5,𝔽2)12yes—
1707C2×C4C2×H(5,𝔽2)12yes—
1708C2×C4#58512yes—
1709C2×C4#58512yes—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—22no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—44no—
1726C22—42no—
1727C22—42no—
1728C22—41no—
1729C22—42no—
1730C22—42no—
1731C22—44no—
1732C22—42no—
1733C22—42no—
1734C22—44no—
1735C22—41no—
1736C22—42no—
1737C22—41no—
1738C22—44no—
1739C22—42no—
1740C22—42no—
1741C22—42no—
1742C22—44no—
1743C22—41no—
1744C22—42no—
1745C22—42no—
1746C22—41no—
1747C22—44no—
1748C22—44no—
1749C22—41no—
1750C22—42no—
1751C22—42no—
1752C22C23×#4111yescharacteristic
1753C22C22×H(5,𝔽2)11yescharacteristic
1754C22C22×H(5,𝔽2)11yescharacteristic
1755C22C2×#58511yescharacteristic
1756C22C2×#58511yescharacteristic
1757C22H(7,𝔽2)11yescharacteristic
1758C222−1+611yescharacteristic
1759C4—22no—
1760C4—22no—
1761C4—22no—
1762C4—22no—
1763C4—24no—
1764C4—22no—
1765C4—41no—
1766C4—44no—
1767C4—41no—
1768C4—41no—
1769C4—42no—
1770C4—42no—
1771C4—44no—
1772C4—44no—
1773C4—42no—
1774C4—42no—
1775C4—42no—
1776C4—42no—
1777C4—42no—
1778C4—42no—
1779C4—41no—
1780C4—41no—
1781C4—42no—
1782C4—42no—
1783C4—42no—
1784C4—42no—
1785C4—42no—
1786C4#346014yes—
1787C4#349414yes—
1788C2—42no—
1789C2—42no—
1790C2—81no—
1791C2—84no—
1792C2—82no—
1793C2—82no—
1794C2C2×#346011yescharacteristic
1795C2C2×#349411yescharacteristic
1796C2#6285611yescharacteristic
1797C2#6291211yescharacteristic
1798C2#6292211yescharacteristic
1799C2#6292511yescharacteristic
1800C2#6293811yescharacteristic
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. #42945C2semidirect
2. #42923C2semidirect
3. #42694C2semidirect
4. #42688C2semidirect
5. #42036C2semidirect
6. #42035C2semidirect
7. #41087C2semidirect
8. #41068C2semidirect
9. #39737C2semidirect
10. #39735C2semidirect
11. #39069C2semidirect
12. #39064C2semidirect
13. #38942C2semidirect
14. #38940C2semidirect
15. #37785C2semidirect
16. #37780C2semidirect
17. #37623C2semidirect
18. #37618C2semidirect
19. #37593C2semidirect
20. #37587C2semidirect
21. #36472C2semidirect
22. #36449C2semidirect
23. #36126C2semidirect
24. #36116C2semidirect
25. #35923C2semidirect
26. #35905C2semidirect
27. #35752C2semidirect
28. #35682C2semidirect
29. #35290C2semidirect
30. #35273C2semidirect
31. #34624C2semidirect
32. #34609C2semidirect
33. #34232C2semidirect
34. #34207C2semidirect
35. #34121C2semidirect
1109. C2×C42#41semidirect

Maximal subgroups

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

subgroupindex
#429452
#429232
#426942
#426882
#420362
#420352
#410872
#410682
#397372
#397352
#390692
#390642
#389422
#389402
#377852
#377802
#376232
#376182
#375932
#375872
#364722
#364492
#361262
#361162
#359232
#359052
#357522
#356822
#352902
#352732
#346242
#346092
#342322
#342072
#341212