Finite Group Databasebeta

← #7979704

Subgroups — #7979704

Order 512.

4761 conjugacy classes of subgroups.

The subgroup lattice has 1698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59462C212yesmaximal, complemented
2#59437C211yesmaximal, characteristic, complemented
3#59081C211yesmaximal, characteristic, complemented
4#59042C211yesmaximal, characteristic, complemented
5#59027C212yesmaximal, complemented
6#49017C214yesmaximal, complemented
7#48941C214yesmaximal, complemented
8#46060C212yesmaximal, complemented
9#45626C212yesmaximal, complemented
10#45320C212yesmaximal, complemented
11#45122C212yesmaximal, complemented
12#44336C214yesmaximal, complemented
13#42831C212yesmaximal, complemented
14#42720C212yesmaximal, complemented
15#41455C214yesmaximal, complemented
16#39908C212yesmaximal, complemented
17#39219C212yesmaximal, complemented
18#39203C211yesmaximal, characteristic, complemented
19#39125C211yesmaximal, characteristic, complemented
20#39034C212yesmaximal, complemented
21#39020C212yesmaximal
22#37859C212yesmaximal, complemented
23#36551C211yesmaximal, characteristic, complemented
24Q8×#124C211yesmaximal, characteristic, complemented
25#36450C211yesmaximal, characteristic, complemented
26#36449C212yesmaximal, complemented
27#36151C211yesmaximal, characteristic, complemented
28D4×C22⋊Q8C211yesmaximal, characteristic, complemented
29#35241C211yesmaximal, characteristic, complemented
30#35184C211yesmaximal, characteristic, complemented
31#35137C212yesmaximal, complemented
32#34946C211yesmaximal, characteristic, complemented
33#34700C211yesmaximal, characteristic
34#34370C212yesmaximal, complemented
35C4×#552C211yesmaximal, characteristic, complemented
36C2×Q82C2211yescharacteristic, complemented
37C2×#552C2211yescharacteristic
38C2×D4×Q8C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#533C2211yescharacteristic, complemented
41C2×#529C2211yescharacteristic
42C22×C22⋊Q8C2212yes—
43C22×C4×D4C2211yescharacteristic
44#2863C2212yescomplemented
45#2863C2212yescomplemented
46#2862C2211yescharacteristic, complemented
47#2862C2212yescomplemented
48#2861C2212yes—
49#2857C2211yescharacteristic
50#2857C2211yescharacteristic, complemented
51#2857C2212yescomplemented
52#2851C2212yescomplemented
53#2850C2212yes—
54#2848C2212yes—
55#2839C2214yescomplemented
56#2833C2214yescomplemented
57#2809C2214yescomplemented
58#2798C2214yescomplemented
59#2798C2214yescomplemented
60#2788C2214yescomplemented
61#2787C2214yescomplemented
62#2783C2214yescomplemented
63#2781C2214yes—
64#2778C2214yes—
65#2777C2214yescomplemented
66#2775C2214yescomplemented
67#2768C2214yescomplemented
68#2764C2214yes—
69#2762C2214yescomplemented
70#2758C2214yescomplemented
71#2755C2214yescomplemented
72#2754C2214yescomplemented
73#2750C2214yes—
74#2745C2214yes—
75#2744C2214yescomplemented
76#2742C2214yescomplemented
77#2741C2214yes—
78#2741C2214yes—
79#2739C2214yes—
80#2736C2214yes—
81#2735C2214yes—
82#2735C2214yes—
83#2729C2214yes—
84#2716C2214yescomplemented
85#2698C2214yes—
86#2690C2214yescomplemented
87#2687C2214yes—
88#2684C2214yes—
89#2674C2214yescomplemented
90#2664C2214yescomplemented
91#2654C2214yescomplemented
92#2653C2214yes—
93#2653C2214yescomplemented
94#2652C2214yescomplemented
95#2650C2214yescomplemented
96#2649C2214yes—
97#2628C2212yescomplemented
98#2625C2212yescomplemented
99#2589C2214yescomplemented
100#2589C2214yescomplemented
101#2578C2214yescomplemented
102#2578C2214yescomplemented
103#2577C2214yes—
104#2577C2214yescomplemented
105#2575C2214yescomplemented
106#2574C2214yescomplemented
107#2574C2214yescomplemented
108#2571C2212yescomplemented
109#2570C2212yescomplemented
110#2568C2212yescomplemented
111#2568C2211yescharacteristic, complemented
112#2568C2211yescharacteristic, complemented
113#2565C2212yescomplemented
114#2563C2211yescharacteristic
115#2563C2212yes—
116#2563C2211yescharacteristic
117#2562C2212yes—
118#2562C2212yes—
119#2561C2214yes—
120#2556C2214yescomplemented
121#2552C2211yescharacteristic, complemented
122#2550C2212yescomplemented
123#2550C2212yescomplemented
124#2547C2212yes—
125#2547C2211yescharacteristic
126#2547C2211yescharacteristic
127#2547C2212yescomplemented
128#2546C2211yescharacteristic, complemented
129#2545C2212yes—
130#2542C2211yescharacteristic
131#2538C2211yescharacteristic
132#2536C2212yes—
133#2536C2212yescomplemented
134#2536C2212yescomplemented
135#2532C2214yescomplemented
136#2530C2214yescomplemented
137#2530C2214yescomplemented
138#2528C2214yescomplemented
139#2527C2214yescomplemented
140#2525C2214yescomplemented
141#2522C2214yescomplemented
142#2518C2214yes—
143#2514C2212yescomplemented
144#2514C2212yescomplemented
145#2513C2212yes—
146#2513C2212yes—
147#2509C2212yescomplemented
148#2503C2212yes—
149#2499C2212yes—
150#2498C2214yescomplemented
151#2497C2212yescomplemented
152#2495C2212yescomplemented
153#2495C2214yescomplemented
154#2495C2212yescomplemented
155#2494C2212yes—
156#2494C2212yescomplemented
157#2492C2212yes—
158#2492C2214yescomplemented
159#2492C2214yescomplemented
160#2492C2212yescomplemented
161#2492C2212yescomplemented
162#2492C2212yescomplemented
163#2491C2212yes—
164#2489C2212yes—
165#2489C2212yes—
166#2489C2212yescomplemented
167#2489C2212yescomplemented
168#2487C2212yescomplemented
169#2485C2214yescomplemented
170#2480C2212yes—
171#2480C2214yes—
172#2477C2214yescomplemented
173#2477C2214yescomplemented
174#2474C2214yescomplemented
175#2473C2214yescomplemented
176#2468C2212yes—
177#2459C2214yes—
178#2457C2212yes—
179#2454C2211yescharacteristic
180#2454C2212yes—
181#2453C2212yescomplemented
182#2453C2212yescomplemented
183#2453C2212yescomplemented
184#2453C2212yescomplemented
185#2452C2212yes—
186#2451C2212yescomplemented
187#2451C2212yescomplemented
188#2450C2214yescomplemented
189#2449C2214yes—
190#2448C2212yes—
191#2448C2212yes—
192#2447C2211yescharacteristic
193#2446C2212yescomplemented
194#2446C2214yescomplemented
195#2442C2211yescharacteristic
196#2442C2212yescomplemented
197#2440C2212yes—
198#2439C2212yes—
199#2437C2214yes—
200#2435C2212yes—
201#2435C2211yescharacteristic
202#2429C2212yes—
203#2427C2211yescharacteristic
204#2427C2212yes—
205#2423C2212yescomplemented
206#2421C2212yes—
207#2421C2212yescomplemented
208#2421C2212yescomplemented
209#2421C2212yescomplemented
210#2421C2212yescomplemented
211#2420C2211yescharacteristic
212#2418C2212yes—
213#2418C2214yes—
214#2417C2211yescharacteristic
215#2417C2212yes—
216#2417C2212yescomplemented
217#2417C2212yescomplemented
218#2415C2212yes—
219#2415C2212yes—
220#2409C2212yes—
221#2409C2212yescomplemented
222#2408C2211yescharacteristic
223#2398C2214yes—
224#2395C2212yes—
225#2392C2212yes—
226#2378C2214yes—
227#2378C2214yes—
228#2373C2212yes—
229#2371C2212yescomplemented
230#2370C2211yescharacteristic, complemented
231#2369C2211yescharacteristic, complemented
232#2367C2212yes—
233#2367C2212yes—
234#2365C2211yescharacteristic, complemented
235#2365C2212yescomplemented
236#2362C2212yes—
237#2362C2211yescharacteristic
238#2362C2212yes—
239#2362C2212yes—
240#2362C2212yescomplemented
241#2360C2211yescharacteristic, complemented
242#2359C2212yes—
243#2356C2211yescharacteristic, complemented
244#2355C2212yescomplemented
245#2355C2211yescharacteristic, complemented
246#2352C2211yescharacteristic
247#2352C2214yescomplemented
248#2351C2212yescomplemented
249D4×C4⋊C4C2211yescharacteristic
250D4×C4⋊C4C2212yes—
251D4×C4⋊C4C2212yescomplemented
252#2346C2211yescharacteristic
253#2345C2212yescomplemented
254#2345C2214yescomplemented
255#2345C2214yescomplemented
256#2345C2212yescomplemented
257#2344C2211yescharacteristic, complemented
258#2343C2212yescomplemented
259Q8×C22⋊C4C2212yescomplemented
260Q8×C22⋊C4C2212yescomplemented
261Q8×C22⋊C4C2212yescomplemented
262D4×C22⋊C4C2212yes—
263#2337C2214yescomplemented
264#2332C2214yescomplemented
265#2332C2214yescomplemented
266#2323C2212yescomplemented
267#2323C2212yescomplemented
268#2323C2212yescomplemented
269#2323C2212yescomplemented
270#2323C2212yescomplemented
271#2314C2212yescomplemented
272#2312C2214yes—
273#2312C2214yes—
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×#125C2211yescharacteristic, complemented
276C4×#125C2212yescomplemented
277C4×#125C2212yescomplemented
278C4×#126C2212yes—
279C4×#124C2211yescharacteristic
280C4×#124C2212yes—
281C4×#124C2212yes—
282C4×#124C2212yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic, complemented
286C4×#123C2212yes—
287C4×#121C2212yes—
288C4×#121C2211yescharacteristic
289C4×#120C2212yes—
290#2293C2211yescharacteristic
291#2280C2212yes—
292#2280C2212yes—
293#2280C2212yes—
294C42×Q8C2211yescharacteristic, complemented
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yescomplemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C23×Q8C2312yes—
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302Q82—44no—
303#552—28no—
304D4×Q8—44no—
305#533—44no—
306#533—44no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2314yes—
315#529—44no—
316C2×#126C2312yes—
317C2×#126C2312yes—
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2311yescharacteristic
323C2×#125C2312yes—
324C2×#124C2312yes—
325C2×#124C2311yescharacteristic
326C2×#124C2314yes—
327C2×#124C2312yes—
328C2×#124C2311yescharacteristic
329C2×#123C2312yes—
330C2×#123C2312yes—
331C2×C22⋊Q8—216no—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2311yescharacteristic
349C2×#121C2311yescharacteristic
350C2×#121C2311yescharacteristic
351C2×#120C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×D4—44no—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2314yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×#117C2312yes—
380C2×#117C2311yescharacteristic
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2311yescharacteristic
385C2×#117C2312yes—
386C2×#117C2312yes—
387C22×C4⋊C4C2311yescharacteristic
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2314yes—
390C22×C4⋊C4C2311yescharacteristic
391C22×C4⋊C4C2311yescharacteristic
392C22×C22⋊C4C2314yes—
393C22×C22⋊C4C2312yes—
394C22×C42C2311yescharacteristic
395C22×C42C2311yescharacteristic
396C22×C42C2312yes—
397#401C2314yes—
398#401C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2312yes—
419#400C2314yes—
420#399C2314yes—
421#399C2314yes—
422#399C2312yes—
423#399C2314yes—
424#399C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2312yes—
431#398C2314yes—
432#398C2312yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2312yes—
451#397C2312yes—
452#397C2314yes—
453#397C2312yes—
454#397C2312yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#396C2312yes—
461#396C2314yes—
462#396C2312yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#395C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2312yes—
475#394C2314yes—
476#394C2312yes—
477#394C2312yes—
478#394C2312yes—
479#394C2312yes—
480#394C2314yes—
481#394C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#393C2314yes—
489#393C2314yes—
490#392C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2311yescharacteristic
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2314yes—
500#391C2314yes—
501#391C2312yes—
502#391C2312yes—
503#391C2314yes—
504#391C2314yes—
505#391C2314yes—
506#391C2311yescharacteristic
507#391C2312yes—
508#391C2314yes—
509#391C2314yes—
510#391C2312yes—
511#391C2314yes—
512#391C2314yes—
513#391C2312yes—
514#391C2314yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2314yes—
519#391C2311yescharacteristic
520#391C2312yes—
521#391C2311yescharacteristic
522#391C2312yes—
523#391C2314yes—
524#391C2312yes—
525#390C2311yescharacteristic
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2311yescharacteristic
531#390C2311yescharacteristic
532#390C2311yescharacteristic
533#389C2311yescharacteristic
534#389C2311yescharacteristic
535#389C2312yes—
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2312yes—
543#389C2311yescharacteristic
544#389C2314yes—
545#389C2312yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2312yes—
554#389C2314yes—
555#389C2314yes—
556#389C2312yes—
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2314yes—
565#389C2312yes—
566#389C2314yes—
567#389C2311yescharacteristic
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2314yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2314yes—
621#387C2314yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
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#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2314yes—
657#387C2312yes—
658#387C2312yes—
659#386C2312yes—
660#386C2314yes—
661#386C2314yes—
662#386C2312yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2312yes—
668#386C2312yes—
669#386C2312yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2312yes—
674#385C2314yes—
675#385C2314yes—
676#385C2312yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2312yes—
681#385C2312yes—
682#385C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2312yes—
686#385C2312yes—
687#384C2311yescharacteristic
688#384C2312yes—
689#384C2312yes—
690#383C2312yes—
691#383C2314yes—
692#383C2314yes—
693#383C2314yes—
694#382C2312yes—
695#382C2312yes—
696#382C2311yescharacteristic
697#382C2312yes—
698#382C2312yes—
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2314yes—
703#382C2314yes—
704#382C2311yescharacteristic
705#382C2312yes—
706#382C2314yes—
707#381C2314yes—
708#381C2314yes—
709#381C2312yes—
710#381C2312yes—
711#381C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2314yes—
721#380C2314yes—
722#380C2314yes—
723#380C2314yes—
724#380C2314yes—
725#380C2312yes—
726#380C2312yes—
727#380C2314yes—
728#380C2312yes—
729#380C2314yes—
730#380C2314yes—
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2312yes—
734#380C2311yescharacteristic
735#380C2312yes—
736#380C2311yescharacteristic
737#380C2312yes—
738#380C2312yes—
739#380C2314yes—
740#380C2312yes—
741#380C2312yes—
742#380C2311yescharacteristic
743#379C2314yes—
744#379C2314yes—
745#379C2312yes—
746#379C2312yes—
747#379C2314yes—
748#379C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811#376C2312yes—
812#376C2312yes—
813#376C2312yes—
814C2×#95C2312yes—
815C43C2312yes—
816C43C2312yes—
817C43C2311yescharacteristic
818C25C2412yes—
819C22×Q8—28no—
820C22×Q8—44no—
821C22×Q8—44no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×Q8C2411yescharacteristic
826C22×Q8C2412yes—
827C22×Q8C2414yes—
828C22×Q8C2414yes—
829C22×D4—24no—
830C22×D4—42no—
831C22×D4—42no—
832C22×D4C2411yescharacteristic
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2412yes—
838C23×C4—28no—
839C23×C4—44no—
840C23×C4—44no—
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2414yes—
851C23×C4C2414yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C4⋊Q8—24no—
857C4⋊Q8—24no—
858C4⋊Q8—24no—
859C4⋊Q8—44no—
860C4⋊Q8—44no—
861C4⋊Q8—44no—
862C4⋊Q8—44no—
863C4⋊Q8—48no—
864#126—28no—
865#126—44no—
866#125—28no—
867#125—24no—
868#125—44no—
869#125—42no—
870#125—44no—
871#125—44no—
872#124—28no—
873#124—24no—
874#124—44no—
875#124—42no—
876#124—48no—
877#123—28no—
878#123—44no—
879C22⋊Q8—28no—
880C22⋊Q8—24no—
881C22⋊Q8—28no—
882C22⋊Q8—28no—
883C22⋊Q8—216no—
884C22⋊Q8—216no—
885C22⋊Q8—44no—
886C22⋊Q8—48no—
887C22⋊Q8—44no—
888C22⋊Q8—42no—
889C22⋊Q8—42no—
890C22⋊Q8—44no—
891C22⋊Q8—44no—
892C22⋊Q8—44no—
893C22⋊Q8—44no—
894C22⋊Q8—44no—
895C22⋊Q8#4118yes—
896#121—24no—
897#121—42no—
898#120—44no—
899C4×Q8—24no—
900C4×Q8—24no—
901C4×Q8—24no—
902C4×Q8—42no—
903C4×Q8—44no—
904C4×Q8—44no—
905C4×Q8—44no—
906C4×Q8—44no—
907C4×Q8—44no—
908C4×Q8—44no—
909C4×Q8—44no—
910C4×Q8—44no—
911C4×D4—24no—
912C4×D4—24no—
913C4×D4—24no—
914C4×D4—44no—
915C4×D4—42no—
916C4×D4—42no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—42no—
922C4×D4—44no—
923C4×D4—42no—
924C4×D4—48no—
925#117—24no—
926#117—28no—
927#117—44no—
928#117—44no—
929#117—44no—
930#117—42no—
931#117—44no—
932#117—44no—
933C2×C4⋊C4—28no—
934C2×C4⋊C4—216no—
935C2×C4⋊C4—24no—
936C2×C4⋊C4—42no—
937C2×C4⋊C4—42no—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C22⋊C4—216no—
1007C2×C22⋊C4—44no—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C42—24no—
1061C2×C42—24no—
1062C2×C42—44no—
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2412yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2411yescharacteristic
1115#95C2412yes—
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2412yes—
1119#95C2411yescharacteristic
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177C24—24no—
1178C24—24no—
1179C24—42no—
1180C24—42no—
1181C24—42no—
1182C24—42no—
1183C24—42no—
1184C24C2512yes—
1185C24C2511yescharacteristic
1186C24C2512yes—
1187C24C2511yescharacteristic
1188C2×Q8—24no—
1189C2×Q8—28no—
1190C2×Q8—22no—
1191C2×Q8—22no—
1192C2×Q8—24no—
1193C2×Q8—24no—
1194C2×Q8—24no—
1195C2×Q8—22no—
1196C2×Q8—24no—
1197C2×Q8—22no—
1198C2×Q8—24no—
1199C2×Q8—24no—
1200C2×Q8—22no—
1201C2×Q8—44no—
1202C2×Q8—42no—
1203C2×Q8—44no—
1204C2×Q8—42no—
1205C2×Q8—44no—
1206C2×Q8—44no—
1207C2×Q8—44no—
1208C2×Q8—816no—
1209C2×Q8C2×#4114yes—
1210C2×D4—22no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—22no—
1215C2×D4—24no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—41no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—416no—
1228C2×D42−1+414yes—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—24no—
1249C22×C4—22no—
1250C22×C4—24no—
1251C22×C4—28no—
1252C22×C4—28no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—22no—
1256C22×C4—42no—
1257C22×C4—41no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—41no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—41no—
1271C22×C4—42no—
1272C22×C4—44no—
1273C22×C4—816no—
1274C22×C4C2×#4114yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2514yes—
1291C22×C4C2512yes—
1292C22×C4C2514yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2514yes—
1295C22×C4C2514yes—
1296C22×C4C2512yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—28no—
1309C4⋊C4—28no—
1310C4⋊C4—28no—
1311C4⋊C4—28no—
1312C4⋊C4—24no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—22no—
1327C4⋊C4—24no—
1328C4⋊C4—22no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—22no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—42no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4C2×#4114yes—
1373C4⋊C4C2×#4118yes—
1374C22⋊C4—28no—
1375C22⋊C4—24no—
1376C22⋊C4—22no—
1377C22⋊C4—24no—
1378C22⋊C4—28no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—28no—
1382C22⋊C4—22no—
1383C22⋊C4—24no—
1384C22⋊C4—28no—
1385C22⋊C4—28no—
1386C22⋊C4—28no—
1387C22⋊C4—22no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—41no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4C2×#4118yes—
1426C42—24no—
1427C42—24no—
1428C42—22no—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—22no—
1435C42—24no—
1436C42—24no—
1437C42—22no—
1438C42—24no—
1439C42—24no—
1440C42—24no—
1441C42—22no—
1442C42—24no—
1443C42—22no—
1444C42—42no—
1445C42—42no—
1446C42—41no—
1447C42—42no—
1448C42—42no—
1449C42—42no—
1450C42—42no—
1451C42—42no—
1452C42—44no—
1453C42—44no—
1454C42—44no—
1455C42—41no—
1456C42—42no—
1457C42—44no—
1458C42—44no—
1459C42—44no—
1460C42—44no—
1461C42H(5,𝔽2)14yes—
1462C23—21no—
1463C23—22no—
1464C23—22no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—22no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—22no—
1475C23—21no—
1476C23—22no—
1477C23—22no—
1478C23—21no—
1479C23—21no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—48no—
1488C23—48no—
1489C23—84no—
1490C23—84no—
1491C23—84no—
1492C23—84no—
1493C23—84no—
1494C23C22×#4112yes—
1495C23C2×2−1+414yes—
1496C23#58512yes—
1497C23C2611yescharacteristic
1498Q8—28no—
1499Q8—48no—
1500Q8—44no—
1501Q8—48no—
1502Q8—84no—
1503Q8—88no—
1504Q8—164no—
1505D4—28no—
1506D4—48no—
1507D4—44no—
1508D4—48no—
1509D4—44no—
1510D4—84no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—28no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—24no—
1525C2×C4—24no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—24no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—21no—
1573C2×C4—24no—
1574C2×C4—24no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—24no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—48no—
1596C2×C4—44no—
1597C2×C4—44no—
1598C2×C4—48no—
1599C2×C4—48no—
1600C2×C4—44no—
1601C2×C4—44no—
1602C2×C4—88no—
1603C2×C4—82no—
1604C2×C4—84no—
1605C2×C4—84no—
1606C2×C4—88no—
1607C2×C4—84no—
1608C2×C4—84no—
1609C2×C4C22×#4112yes—
1610C2×C4C22×#4114yes—
1611C2×C4C22×#4114yes—
1612C2×C4C22×#4112yes—
1613C2×C4C2×H(5,𝔽2)12yes—
1614C2×C4C2×H(5,𝔽2)12yes—
1615C2×C4C2×H(5,𝔽2)12yes—
1616C2×C4C2×2−1+412yes—
1617C2×C4#58512yes—
1618C2×C4#58512yes—
1619C22—24no—
1620C22—22no—
1621C22—24no—
1622C22—22no—
1623C22—24no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—42no—
1633C22—41no—
1634C22—42no—
1635C22—41no—
1636C22—42no—
1637C22—41no—
1638C22—41no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—42no—
1644C22—42no—
1645C22—42no—
1646C22—42no—
1647C22—816no—
1648C22C23×#4111yescharacteristic
1649C22C22×H(5,𝔽2)11yescharacteristic
1650C22C22×2−1+411yescharacteristic
1651C22C2×#58511yescharacteristic
1652C22C2×#58511yescharacteristic
1653C22C2×#58511yescharacteristic
1654C222−1+611yescharacteristic
1655C4—22no—
1656C4—24no—
1657C4—24no—
1658C4—22no—
1659C4—41no—
1660C4—41no—
1661C4—42no—
1662C4—44no—
1663C4—41no—
1664C4—42no—
1665C4—41no—
1666C4—42no—
1667C4—42no—
1668C4—41no—
1669C4—42no—
1670C4—42no—
1671C4—44no—
1672C4—42no—
1673C4—44no—
1674C4—41no—
1675C4—41no—
1676C4—42no—
1677C4—42no—
1678C4—42no—
1679C4—41no—
1680C4—41no—
1681C4—42no—
1682C4—44no—
1683C4—42no—
1684C4#351414yes—
1685C4#354114yes—
1686C2—42no—
1687C2—44no—
1688C2—42no—
1689C2—82no—
1690C2C2×#354111yescharacteristic
1691C2C2×#351411yescharacteristic
1692C2#6281611yescharacteristic
1693C2#6293611yescharacteristic
1694C2#6295411yescharacteristic
1695C2#6299811yescharacteristic
1696C2#6302311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2408C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59462C2semidirect
2. #59437C2semidirect
3. #59081C2semidirect
4. #59042C2semidirect
5. #59027C2semidirect
6. #49017C2semidirect
7. #48941C2semidirect
8. #46060C2semidirect
9. #45626C2semidirect
10. #45320C2semidirect
11. #45122C2semidirect
12. #44336C2semidirect
13. #42831C2semidirect
14. #42720C2semidirect
15. #41455C2semidirect
16. #39908C2semidirect
17. #39219C2semidirect
18. #39203C2semidirect
19. #39125C2semidirect
20. #39034C2semidirect
22. #37859C2semidirect
23. #36551C2semidirect
24. Q8×#124C2semidirect
25. #36450C2semidirect
26. #36449C2semidirect
27. #36151C2semidirect
28. D4×C22⋊Q8C2semidirect
29. #35241C2semidirect
30. #35184C2semidirect
31. #35137C2semidirect
32. #34946C2semidirect
34. #34370C2semidirect
35. C4×#552C2semidirect
36. C2×Q82C22semidirect
40. C2×#533C22semidirect
44. #2863C22semidirect
45. #2863C22semidirect
46. #2862C22semidirect
47. #2862C22semidirect
50. #2857C22semidirect
51. #2857C22semidirect
52. #2851C22semidirect
55. #2839C22semidirect
56. #2833C22semidirect
57. #2809C22semidirect
58. #2798C22semidirect
59. #2798C22semidirect
60. #2788C22semidirect
61. #2787C22semidirect
62. #2783C22semidirect
65. #2777C22semidirect
66. #2775C22semidirect
67. #2768C22semidirect
69. #2762C22semidirect
70. #2758C22semidirect
71. #2755C22semidirect
72. #2754C22semidirect
75. #2744C22semidirect
76. #2742C22semidirect
84. #2716C22semidirect
86. #2690C22semidirect
89. #2674C22semidirect
90. #2664C22semidirect
91. #2654C22semidirect
93. #2653C22semidirect
94. #2652C22semidirect
95. #2650C22semidirect
97. #2628C22semidirect
98. #2625C22semidirect
99. #2589C22semidirect
100. #2589C22semidirect
101. #2578C22semidirect
102. #2578C22semidirect
104. #2577C22semidirect
105. #2575C22semidirect
106. #2574C22semidirect
107. #2574C22semidirect
108. #2571C22semidirect
109. #2570C22semidirect
110. #2568C22semidirect
111. #2568C22semidirect
112. #2568C22semidirect
113. #2565C22semidirect
120. #2556C22semidirect
121. #2552C22semidirect
122. #2550C22semidirect
123. #2550C22semidirect
127. #2547C22semidirect
128. #2546C22semidirect
133. #2536C22semidirect
134. #2536C22semidirect
135. #2532C22semidirect
136. #2530C22semidirect
137. #2530C22semidirect
138. #2528C22semidirect
139. #2527C22semidirect
140. #2525C22semidirect
141. #2522C22semidirect
143. #2514C22semidirect
144. #2514C22semidirect
147. #2509C22semidirect
150. #2498C22semidirect
151. #2497C22semidirect
152. #2495C22semidirect
153. #2495C22semidirect
154. #2495C22semidirect
156. #2494C22semidirect
158. #2492C22semidirect
159. #2492C22semidirect
160. #2492C22semidirect
161. #2492C22semidirect
162. #2492C22semidirect
166. #2489C22semidirect
167. #2489C22semidirect
168. #2487C22semidirect
169. #2485C22semidirect
172. #2477C22semidirect
173. #2477C22semidirect
174. #2474C22semidirect
175. #2473C22semidirect
181. #2453C22semidirect
182. #2453C22semidirect
183. #2453C22semidirect
184. #2453C22semidirect
186. #2451C22semidirect
187. #2451C22semidirect
188. #2450C22semidirect
193. #2446C22semidirect
194. #2446C22semidirect
196. #2442C22semidirect
205. #2423C22semidirect
207. #2421C22semidirect
208. #2421C22semidirect
209. #2421C22semidirect
210. #2421C22semidirect
216. #2417C22semidirect
217. #2417C22semidirect
221. #2409C22semidirect
229. #2371C22semidirect
230. #2370C22semidirect
231. #2369C22semidirect
234. #2365C22semidirect
235. #2365C22semidirect
240. #2362C22semidirect
241. #2360C22semidirect
243. #2356C22semidirect
244. #2355C22semidirect
245. #2355C22semidirect
247. #2352C22semidirect
248. #2351C22semidirect
251. D4×C4⋊C4C22semidirect
253. #2345C22semidirect
254. #2345C22semidirect
255. #2345C22semidirect
256. #2345C22semidirect
257. #2344C22semidirect
258. #2343C22semidirect
259. Q8×C22⋊C4C22semidirect
260. Q8×C22⋊C4C22semidirect
261. Q8×C22⋊C4C22semidirect
263. #2337C22semidirect
264. #2332C22semidirect
265. #2332C22semidirect
266. #2323C22semidirect
267. #2323C22semidirect
268. #2323C22semidirect
269. #2323C22semidirect
270. #2323C22semidirect
271. #2314C22semidirect
274. C4×C4⋊Q8C22semidirect
275. C4×#125C22semidirect
276. C4×#125C22semidirect
277. C4×#125C22semidirect
285. C4×C22⋊Q8C22semidirect
294. C42×Q8C22semidirect
297. C4×#117C22semidirect
298. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#594622
#594372
#590812
#590422
#590272
#490172
#489412
#460602
#456262
#453202
#451222
#443362
#428312
#427202
#414552
#399082
#392192
#392032
#391252
#390342
#390202
#378592
#365512
Q8×#1242
#364502
#364492
#361512
D4×C22⋊Q82
#352412
#351842
#351372
#349462
#347002
#343702
C4×#5522