Finite Group Databasebeta

← #7681138

Subgroups — #7681138

Order 512.

5498 conjugacy classes of subgroups.

The subgroup lattice has 1743 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59892C214yesmaximal, complemented
2#59882C214yesmaximal, complemented
3#59487C212yesmaximal, complemented
4#59485C212yesmaximal, complemented
5#59479C212yesmaximal, complemented
6#59477C212yesmaximal, complemented
7#45305C212yesmaximal, complemented
8#45292C212yesmaximal, complemented
9#45192C212yesmaximal, complemented
10#44998C212yesmaximal, complemented
11#44000C214yesmaximal, complemented
12#43978C214yesmaximal, complemented
13#39045C212yesmaximal, complemented
14#39043C212yesmaximal, complemented
15#38207C212yesmaximal, complemented
16#38201C212yesmaximal, complemented
17#38117C212yesmaximal, complemented
18#38111C212yesmaximal, complemented
19#36381C212yesmaximal, complemented
20#36277C212yesmaximal, complemented
21#35673C211yesmaximal, characteristic, complemented
22#35660C211yesmaximal, characteristic
23#35592C211yesmaximal, characteristic, complemented
24#35517C211yesmaximal, characteristic, complemented
25#35279C211yesmaximal, characteristic, complemented
26#35267C211yesmaximal, characteristic, complemented
27#35255C211yesmaximal, characteristic, complemented
28#34816C211yesmaximal, characteristic, complemented
29C2×#2451C211yesmaximal, characteristic, complemented
30#34259C211yesmaximal, characteristic, complemented
31#34257C211yesmaximal, characteristic, complemented
32#34254C211yesmaximal, characteristic, complemented
33#34253C211yesmaximal, characteristic, complemented
34#34141C211yesmaximal, characteristic, complemented
35C4×#536C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C22×C4⋊Q8C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C2×#519C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45C22×C4×Q8C2211yescharacteristic
46#2863C2212yes—
47#2860C2212yes—
48#2857C2212yes—
49#2857C2212yes—
50#2855C2212yes—
51#2854C2212yes—
52#2799C2214yes—
53#2798C2214yes—
54#2786C2214yes—
55#2763C2214yes—
56#2762C2214yes—
57#2759C2214yes—
58#2759C2214yes—
59#2758C2214yes—
60#2756C2214yes—
61#2755C2214yes—
62#2752C2214yes—
63#2751C2214yes—
64#2747C2214yes—
65#2746C2214yes—
66#2745C2214yes—
67#2742C2214yes—
68#2741C2214yes—
69#2738C2214yes—
70#2737C2214yes—
71#2737C2214yes—
72#2730C2214yes—
73#2723C2214yes—
74#2717C2214yes—
75#2706C2214yes—
76#2645C2212yes—
77#2644C2212yes—
78#2628C2212yes—
79#2628C2212yes—
80#2625C2212yes—
81#2624C2212yes—
82#2610C2214yes—
83#2607C2214yes—
84#2605C2214yes—
85#2605C2214yes—
86#2591C2214yes—
87#2589C2214yes—
88#2588C2214yes—
89#2586C2214yes—
90#2578C2214yes—
91#2575C2214yes—
92#2574C2214yes—
93#2574C2214yes—
94#2572C2214yes—
95#2569C2214yes—
96#2568C2212yes—
97#2567C2212yes—
98#2564C2214yes—
99#2563C2212yes—
100#2560C2214yes—
101#2557C2214yes—
102#2553C2214yes—
103#2542C2212yes—
104#2532C2214yes—
105#2531C2214yes—
106#2530C2214yes—
107#2527C2214yes—
108#2527C2214yes—
109#2523C2214yes—
110#2522C2214yes—
111#2521C2214yes—
112#2521C2214yes—
113#2518C2214yes—
114#2516C2214yes—
115#2516C2214yes—
116#2514C2211yescharacteristic
117#2514C2211yescharacteristic
118#2513C2211yescharacteristic
119#2513C2211yescharacteristic
120#2512C2211yescharacteristic
121#2512C2211yescharacteristic
122#2511C2211yescharacteristic
123#2511C2211yescharacteristic
124#2510C2212yes—
125#2510C2212yes—
126#2510C2214yes—
127#2498C2214yes—
128#2498C2214yes—
129#2498C2214yes—
130#2497C2212yes—
131#2496C2212yes—
132#2495C2212yes—
133#2494C2212yes—
134#2493C2214yes—
135#2492C2212yes—
136#2492C2212yes—
137#2492C2212yes—
138#2492C2212yes—
139#2491C2212yes—
140#2491C2212yes—
141#2491C2212yes—
142#2491C2212yes—
143#2488C2214yes—
144#2487C2212yes—
145#2487C2214yes—
146#2486C2212yes—
147#2485C2212yes—
148#2485C2212yes—
149#2481C2212yes—
150#2481C2212yes—
151#2481C2214yes—
152#2479C2214yes—
153#2467C2214yes—
154#2461C2214yes—
155#2451C2212yes—
156#2451C2212yes—
157#2451C2212yes—
158#2451C2212yes—
159#2451C2212yes—
160#2451C2212yes—
161#2451C2212yes—
162#2451C2212yes—
163#2448C2212yes—
164#2448C2212yes—
165#2448C2212yes—
166#2447C2212yes—
167#2446C2212yes—
168#2446C2212yes—
169#2446C2212yes—
170#2445C2212yes—
171#2444C2214yes—
172#2444C2214yes—
173#2443C2214yes—
174#2443C2214yes—
175#2438C2214yes—
176#2436C2214yes—
177#2436C2212yes—
178#2434C2212yes—
179#2432C2212yes—
180#2431C2212yes—
181#2430C2214yes—
182#2430C2214yes—
183#2423C2212yes—
184#2423C2212yes—
185#2423C2212yes—
186#2422C2212yes—
187#2421C2212yes—
188#2421C2212yes—
189#2421C2212yes—
190#2420C2212yes—
191#2409C2212yes—
192#2409C2212yes—
193#2409C2214yes—
194#2407C2212yes—
195#2407C2212yes—
196#2401C2212yes—
197#2401C2212yes—
198C2×#398C2212yes—
199C2×#395C2212yes—
200#2373C2214yes—
201#2372C2214yes—
202#2368C2214yes—
203#2367C2211yescharacteristic
204#2367C2211yescharacteristic
205#2367C2211yescharacteristic
206#2367C2211yescharacteristic
207#2366C2211yescharacteristic
208#2366C2211yescharacteristic
209#2365C2211yescharacteristic
210#2365C2211yescharacteristic
211#2364C2212yes—
212#2364C2212yes—
213#2361C2212yes—
214#2361C2212yes—
215#2356C2212yes—
216#2356C2212yes—
217#2355C2212yes—
218#2355C2212yes—
219#2353C2214yes—
220#2353C2214yes—
221#2352C2214yes—
222#2347C2212yes—
223#2346C2212yes—
224#2345C2212yes—
225#2344C2212yes—
226#2343C2214yes—
227#2343C2214yes—
228#2341C2212yes—
229#2341C2212yes—
230#2341C2212yes—
231#2341C2212yes—
232Q8×C22⋊C4C2212yes—
233Q8×C22⋊C4C2212yes—
234Q8×C22⋊C4C2212yes—
235Q8×C22⋊C4C2212yes—
236Q8×C22⋊C4C2212yes—
237Q8×C22⋊C4C2212yes—
238#2339C2212yes—
239#2339C2212yes—
240#2339C2214yes—
241#2339C2214yes—
242#2327C2212yes—
243#2326C2212yes—
244#2323C2212yes—
245#2323C2212yes—
246#2322C2214yes—
247#2320C2212yes—
248#2320C2212yes—
249#2320C2212yes—
250#2319C2212yes—
251#2317C2211yescharacteristic
252#2317C2211yescharacteristic
253#2316C2211yescharacteristic
254#2311C2211yescharacteristic
255#2311C2211yescharacteristic
256#2311C2212yes—
257#2311C2211yescharacteristic
258#2311C2211yescharacteristic
259#2311C2211yescharacteristic
260#2311C2211yescharacteristic
261#2311C2214yes—
262#2310C2211yescharacteristic
263#2310C2212yes—
264C4×C4⋊Q8C2212yes—
265C4×#126C2212yes—
266C4×#126C2212yes—
267C4×#124C2212yes—
268C4×C22⋊Q8C2212yes—
269C4×C22⋊Q8C2212yes—
270C4×#123C2214yes—
271#2297C2211yescharacteristic
272#2297C2211yescharacteristic
273#2297C2211yescharacteristic
274#2297C2211yescharacteristic
275#2297C2212yes—
276#2297C2211yescharacteristic
277#2297C2214yes—
278#2296C2211yescharacteristic
279#2295C2212yes—
280#2295C2212yes—
281#2295C2212yes—
282C2×#391C2211yescharacteristic
283C2×#391C2211yescharacteristic
284C2×#391C2212yes—
285C2×#391C2212yes—
286#2293C2212yes—
287#2293C2212yes—
288C2×#389C2211yescharacteristic
289C2×#389C2211yescharacteristic
290#2290C2212yes—
291#2290C2212yes—
292C2×#387C2212yes—
293#2285C2211yescharacteristic
294#2274C2211yescharacteristic
295C42×D4C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C2×2−1+4—28no—
300C2×2−1+4—28no—
301C2×2−1+4—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2314yes—
305C22×#41C2312yes—
306C22×#41C2312yes—
307C22×#41C2311yescharacteristic
308C23×Q8C2312yes—
309C23×Q8C2312yes—
310C23×Q8C2311yescharacteristic
311C23×Q8C2312yes—
312#537—44no—
313#536—28no—
314#532—28no—
315C2×C4⋊Q8—44no—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2312yes—
322C2×#127C2311yescharacteristic
323C2×#126C2312yes—
324C2×#126C2312yes—
325C2×#126C2314yes—
326C2×#124C2312yes—
327C2×#124C2311yescharacteristic
328C2×#124C2311yescharacteristic
329C2×#124C2314yes—
330C2×#124C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2314yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345#520—28no—
346#519—28no—
347C4×#41—44no—
348C4×#41—44no—
349C2×C4×Q8—44no—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C2×#117C2312yes—
380C2×#117C2311yescharacteristic
381C2×#117C2311yescharacteristic
382C2×#117C2311yescharacteristic
383C2×#117C2314yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2314yes—
387C22×C4⋊C4C2311yescharacteristic
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2311yescharacteristic
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2311yescharacteristic
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2311yescharacteristic
395C22×C4⋊C4C2312yes—
396C22×C4⋊C4C2312yes—
397C22×C42C2311yescharacteristic
398C22×C42C2311yescharacteristic
399C22×C42C2311yescharacteristic
400C22×C42C2312yes—
401C22×C42C2312yes—
402C22×C42C2312yes—
403#401C2314yes—
404#401C2312yes—
405#401C2312yes—
406#400C2312yes—
407#400C2314yes—
408#400C2314yes—
409#400C2312yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2312yes—
419#400C2312yes—
420#400C2312yes—
421#400C2312yes—
422#400C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2312yes—
447#397C2312yes—
448#397C2312yes—
449#397C2312yes—
450#397C2312yes—
451#397C2312yes—
452#397C2314yes—
453#397C2314yes—
454#396C2312yes—
455#396C2314yes—
456#396C2312yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#395C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#392C2314yes—
482#392C2314yes—
483#391C2314yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2311yescharacteristic
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2314yes—
493#391C2314yes—
494#391C2312yes—
495#391C2312yes—
496#391C2314yes—
497#391C2314yes—
498#391C2312yes—
499#391C2312yes—
500#391C2314yes—
501#391C2314yes—
502#391C2314yes—
503#391C2311yescharacteristic
504#391C2312yes—
505#391C2314yes—
506#391C2314yes—
507#391C2314yes—
508#391C2314yes—
509#391C2312yes—
510#391C2312yes—
511#391C2311yescharacteristic
512#391C2311yescharacteristic
513#391C2311yescharacteristic
514#391C2314yes—
515#391C2314yes—
516#391C2311yescharacteristic
517#391C2312yes—
518#391C2312yes—
519#391C2311yescharacteristic
520#391C2311yescharacteristic
521#391C2311yescharacteristic
522#391C2312yes—
523#391C2312yes—
524#391C2314yes—
525#391C2314yes—
526#391C2311yescharacteristic
527#390C2314yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2311yescharacteristic
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#390C2314yes—
536#390C2312yes—
537#390C2311yescharacteristic
538#390C2311yescharacteristic
539#390C2311yescharacteristic
540#390C2311yescharacteristic
541#390C2314yes—
542#390C2311yescharacteristic
543#390C2312yes—
544#390C2312yes—
545#390C2311yescharacteristic
546#390C2311yescharacteristic
547#390C2311yescharacteristic
548#390C2311yescharacteristic
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2311yescharacteristic
563#389C2311yescharacteristic
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2312yes—
658#386C2314yes—
659#386C2312yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2312yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2312yes—
671#386C2312yes—
672#386C2312yes—
673#386C2314yes—
674#386C2312yes—
675#386C2312yes—
676#386C2312yes—
677#386C2312yes—
678#386C2312yes—
679#386C2314yes—
680#386C2312yes—
681#386C2312yes—
682#386C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2312yes—
694#385C2312yes—
695#385C2312yes—
696#385C2312yes—
697#385C2312yes—
698#385C2312yes—
699#384C2312yes—
700#384C2312yes—
701#384C2311yescharacteristic
702#384C2311yescharacteristic
703#383C2312yes—
704#383C2312yes—
705#383C2314yes—
706#383C2314yes—
707#383C2314yes—
708#383C2314yes—
709#382C2312yes—
710#382C2312yes—
711#382C2314yes—
712#382C2314yes—
713#382C2314yes—
714#382C2311yescharacteristic
715#382C2311yescharacteristic
716#381C2314yes—
717#381C2314yes—
718#381C2314yes—
719#381C2314yes—
720#381C2314yes—
721#381C2314yes—
722#380C2314yes—
723#380C2314yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2314yes—
736#380C2314yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2314yes—
744#380C2312yes—
745#380C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805#376C2312yes—
806#376C2312yes—
807#376C2314yes—
808#376C2314yes—
809#376C2314yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2312yes—
817C2×#95C2311yescharacteristic
818C2×#95C2311yescharacteristic
819C2×#95C2312yes—
820C43C2312yes—
821C43C2312yes—
8222−1+4—464no—
823C2×#41—28no—
824C2×#41—28no—
825C2×#41—216no—
826C2×#41—28no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—28no—
831C2×#41—216no—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—24no—
837C2×#41—48no—
838C2×#41—44no—
839C2×#41—44no—
840C2×#41#4118yes—
841C22×Q8—28no—
842C22×Q8—28no—
843C22×Q8—28no—
844C22×Q8—24no—
845C22×Q8—28no—
846C22×Q8—24no—
847C22×Q8—44no—
848C22×Q8—44no—
849C22×Q8—44no—
850C22×Q8—44no—
851C22×Q8—82no—
852C22×Q8#4118yes—
853C22×Q8C2411yescharacteristic
854C22×Q8C2411yescharacteristic
855C22×Q8C2414yes—
856C22×Q8C2412yes—
857C22×Q8C2412yes—
858C22×Q8C2411yescharacteristic
859C22×Q8C2414yes—
860C22×Q8C2414yes—
861C22×D4C2412yes—
862C22×D4C2411yescharacteristic
863C22×D4C2412yes—
864C22×D4C2411yescharacteristic
865C22×D4C2412yes—
866C22×D4C2414yes—
867C22×D4C2412yes—
868C22×D4C2411yescharacteristic
869C22×D4C2412yes—
870C22×D4C2414yes—
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2411yescharacteristic
877C23×C4C2414yes—
878C23×C4C2414yes—
879C23×C4C2412yes—
880C23×C4C2412yes—
881C23×C4C2411yescharacteristic
882C23×C4C2412yes—
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2411yescharacteristic
886C23×C4C2414yes—
887C23×C4C2412yes—
888C23×C4C2412yes—
889C23×C4C2412yes—
890C23×C4C2412yes—
891C23×C4C2411yescharacteristic
892C4⋊Q8—24no—
893C4⋊Q8—28no—
894C4⋊Q8—44no—
895C4⋊Q8—44no—
896C4⋊Q8—44no—
897C4⋊Q8—44no—
898#127—24no—
899#126—28no—
900#126—44no—
901#126—84no—
902#124—24no—
903#124—28no—
904#124—24no—
905#124—48no—
906#124—84no—
907#123—216no—
908#123—84no—
909#123—84no—
910C22⋊Q8—28no—
911C22⋊Q8—28no—
912C22⋊Q8—48no—
913C22⋊Q8—44no—
914C22⋊Q8—44no—
915C22⋊Q8—84no—
916#121—28no—
917#121—28no—
918#121—44no—
919#121—44no—
920#121—48no—
921C4×Q8—28no—
922C4×Q8—28no—
923C4×Q8—28no—
924C4×Q8—28no—
925C4×Q8—28no—
926C4×Q8—44no—
927C4×Q8—44no—
928C4×Q8—44no—
929C4×Q8—44no—
930C4×Q8—42no—
931C4×Q8—42no—
932C4×Q8—42no—
933C4×Q8—42no—
934C4×D4—216no—
935C4×D4—28no—
936C4×D4—28no—
937C4×D4—28no—
938C4×D4—28no—
939C4×D4—42no—
940C4×D4—42no—
941C4×D4—42no—
942C4×D4—42no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948#117—216no—
949#117—24no—
950#117—24no—
951#117—28no—
952#117—24no—
953#117—24no—
954#117—24no—
955#117—44no—
956#117—44no—
957#117—84no—
958C2×C4⋊C4—28no—
959C2×C4⋊C4—24no—
960C2×C4⋊C4—24no—
961C2×C4⋊C4—24no—
962C2×C4⋊C4—24no—
963C2×C4⋊C4—42no—
964C2×C4⋊C4—44no—
965C2×C4⋊C4—44no—
966C2×C4⋊C4—82no—
967C2×C4⋊C4—82no—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C42—24no—
1077C2×C42—24no—
1078C2×C42—24no—
1079C2×C42—44no—
1080C2×C42—44no—
1081C2×C42—44no—
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2414yes—
1087C2×C42C2412yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2414yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2414yes—
1112C2×C42C2414yes—
1113C2×C42C2414yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2414yes—
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2411yescharacteristic
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2414yes—
1198C24C2512yes—
1199C24C2512yes—
1200C24C2512yes—
1201C24C2511yescharacteristic
1202#41—232no—
1203#41—464no—
1204#41—432no—
1205#41—432no—
1206#41—416no—
1207#41—416no—
1208C2×Q8—232no—
1209C2×Q8—22no—
1210C2×Q8—24no—
1211C2×Q8—24no—
1212C2×Q8—22no—
1213C2×Q8—22no—
1214C2×Q8—28no—
1215C2×Q8—28no—
1216C2×Q8—22no—
1217C2×Q8—22no—
1218C2×Q8—24no—
1219C2×Q8—24no—
1220C2×Q8—22no—
1221C2×Q8—22no—
1222C2×Q8—22no—
1223C2×Q8—28no—
1224C2×Q8—44no—
1225C2×Q8—44no—
1226C2×Q8—44no—
1227C2×Q8—44no—
1228C2×Q8—44no—
1229C2×Q8—44no—
1230C2×Q8—432no—
1231C2×Q8—432no—
1232C2×Q8—816no—
1233C2×Q8C2×#4118yes—
1234C2×Q8C2×#4114yes—
1235C2×Q8C2×#4118yes—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—28no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—28no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—24no—
1257C2×D4—42no—
1258C2×D4—44no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4C2×#4118yes—
1265C2×D4C2×#4114yes—
1266C22×C4—24no—
1267C22×C4—24no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—22no—
1271C22×C4—28no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—24no—
1276C22×C4—22no—
1277C22×C4—28no—
1278C22×C4—24no—
1279C22×C4—22no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—28no—
1284C22×C4—28no—
1285C22×C4—28no—
1286C22×C4—24no—
1287C22×C4—24no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—41no—
1298C22×C4—42no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—42no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—41no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—42no—
1308C22×C4—42no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—44no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—41no—
1321C22×C4—44no—
1322C22×C4—42no—
1323C22×C4—42no—
1324C22×C4C2×#4118yes—
1325C22×C4C2×#4118yes—
1326C22×C4C2×#4114yes—
1327C22×C4C2×#4114yes—
1328C22×C4H(5,𝔽2)14yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2511yescharacteristic
1332C22×C4C2511yescharacteristic
1333C22×C4C2512yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2512yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C22×C4C2514yes—
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2511yescharacteristic
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2514yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2514yes—
1350C22×C4C2512yes—
1351C22×C4C2511yescharacteristic
1352C22×C4C2512yes—
1353C22×C4C2514yes—
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C22×C4C2511yescharacteristic
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C4⋊C4—22no—
1361C4⋊C4—24no—
1362C4⋊C4—28no—
1363C4⋊C4—24no—
1364C4⋊C4—22no—
1365C4⋊C4—28no—
1366C4⋊C4—28no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—28no—
1376C4⋊C4—28no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—24no—
1391C4⋊C4—41no—
1392C4⋊C4—41no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—42no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C42−1+414yescomplemented
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—28no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—28no—
1429C22⋊C4—28no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—44no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—42no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—44no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C42—22no—
1469C42—22no—
1470C42—22no—
1471C42—22no—
1472C42—28no—
1473C42—24no—
1474C42—28no—
1475C42—28no—
1476C42—24no—
1477C42—24no—
1478C42—24no—
1479C42—22no—
1480C42—22no—
1481C42—22no—
1482C42—22no—
1483C42—22no—
1484C42—22no—
1485C42—22no—
1486C42—22no—
1487C42—24no—
1488C42—24no—
1489C42—24no—
1490C42—42no—
1491C42—42no—
1492C42—42no—
1493C42—42no—
1494C42—44no—
1495C42—44no—
1496C42—42no—
1497C42—42no—
1498C42—42no—
1499C42—44no—
1500C42—42no—
1501C42—44no—
1502C42—42no—
1503C42—42no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—22no—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—22no—
1525C23—22no—
1526C23—22no—
1527C23—22no—
1528C23C22×#4114yes—
1529C23C22×#4112yes—
1530C23C22×#4112yes—
1531C23C2×H(5,𝔽2)12yes—
1532C23C2611yescharacteristic
1533Q8—216no—
1534Q8—216no—
1535Q8—28no—
1536Q8—416no—
1537Q8—44no—
1538Q8—44no—
1539Q8—88no—
1540Q8—88no—
1541D4—216no—
1542D4—28no—
1543D4—48no—
1544D4—416no—
1545D4—48no—
1546D4—48no—
1547D4—44no—
1548D4—44no—
1549D4—84no—
1550D4—164no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—216no—
1564C2×C4—216no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—24no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—24no—
1590C2×C4—24no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—24no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—24no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—24no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—24no—
1621C2×C4—24no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—24no—
1633C2×C4—21no—
1634C2×C4—416no—
1635C2×C4—44no—
1636C2×C4—44no—
1637C2×C4—44no—
1638C2×C4—416no—
1639C2×C4—44no—
1640C2×C4—48no—
1641C2×C4—48no—
1642C2×C4—48no—
1643C2×C4—84no—
1644C2×C4—84no—
1645C2×C4—84no—
1646C2×C4—82no—
1647C2×C4—84no—
1648C2×C4—88no—
1649C2×C4—82no—
1650C2×C4—84no—
1651C2×C4—84no—
1652C2×C4#551116yes—
1653C2×C4C22×#4118yes—
1654C2×C4C22×#4114yes—
1655C2×C4C22×#4112yes—
1656C2×C4C22×#4112yes—
1657C2×C4C22×#4112yes—
1658C2×C4C22×#4112yes—
1659C2×C4C2×H(5,𝔽2)12yes—
1660C2×C4C2×H(5,𝔽2)12yes—
1661C2×C4C2×2−1+412yes—
1662C2×C4C2×2−1+412yes—
1663C2×C4C2×2−1+412yes—
1664C2×C4#58512yes—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—24no—
1672C22—24no—
1673C22—24no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—42no—
1686C22—42no—
1687C22—42no—
1688C22—42no—
1689C22—42no—
1690C22—42no—
1691C22—42no—
1692C22C2×#55114yes—
1693C22C23×#4111yescharacteristic
1694C22C23×#4111yescharacteristic
1695C22C22×H(5,𝔽2)11yescharacteristic
1696C22C22×2−1+411yescharacteristic
1697C22C2×#58511yescharacteristic
1698C22H(7,𝔽2)11yescharacteristic
1699C222−1+611yescharacteristic
1700C4—22no—
1701C4—22no—
1702C4—22no—
1703C4—22no—
1704C4—24no—
1705C4—28no—
1706C4—42no—
1707C4—42no—
1708C4—42no—
1709C4—42no—
1710C4—42no—
1711C4—42no—
1712C4—42no—
1713C4—41no—
1714C4—41no—
1715C4—42no—
1716C4—44no—
1717C4—41no—
1718C4—44no—
1719C4—41no—
1720C4—41no—
1721C4—42no—
1722C4—41no—
1723C4—44no—
1724C4—41no—
1725C4—41no—
1726C4—42no—
1727C4—42no—
1728C4—42no—
1729C4C2×#55114yes—
1730C4C2×#55114yes—
1731C2—24no—
1732C2—44no—
1733C2—82no—
1734C2—82no—
1735C2C22×#55111yescharacteristic
1736C2#6280511yescharacteristic
1737C2#6285711yescharacteristic
1738C2#6292411yescharacteristic
1739C2#6294211yescharacteristic
1740C2#6299911yescharacteristic
1741C2#6300711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35660C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59892C2semidirect
2. #59882C2semidirect
3. #59487C2semidirect
4. #59485C2semidirect
5. #59479C2semidirect
6. #59477C2semidirect
7. #45305C2semidirect
8. #45292C2semidirect
9. #45192C2semidirect
10. #44998C2semidirect
11. #44000C2semidirect
12. #43978C2semidirect
13. #39045C2semidirect
14. #39043C2semidirect
15. #38207C2semidirect
16. #38201C2semidirect
17. #38117C2semidirect
18. #38111C2semidirect
19. #36381C2semidirect
20. #36277C2semidirect
21. #35673C2semidirect
23. #35592C2semidirect
24. #35517C2semidirect
25. #35279C2semidirect
26. #35267C2semidirect
27. #35255C2semidirect
28. #34816C2semidirect
29. C2×#2451C2semidirect
30. #34259C2semidirect
31. #34257C2semidirect
32. #34254C2semidirect
33. #34253C2semidirect
34. #34141C2semidirect
35. C4×#536C2semidirect
1417. C4⋊C42−1+4semidirect

Maximal subgroups

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

subgroupindex
#598922
#598822
#594872
#594852
#594792
#594772
#453052
#452922
#451922
#449982
#440002
#439782
#390452
#390432
#382072
#382012
#381172
#381112
#363812
#362772
#356732
#356602
#355922
#355172
#352792
#352672
#352552
#348162
C2×#24512
#342592
#342572
#342542
#342532
#341412
C4×#5362