Finite Group Databasebeta

← #8195347

Subgroups — #8195347

Order 512.

5430 conjugacy classes of subgroups.

The subgroup lattice has 1664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60045C212yesmaximal, complemented
2#59237C212yesmaximal, complemented
3#59130C212yesmaximal, complemented
4#59000C211yesmaximal, characteristic, complemented
5#58998C211yesmaximal, characteristic, complemented
6#58391C212yesmaximal, complemented
7#57964C212yesmaximal, complemented
8#55130C214yesmaximal, complemented
9#53144C212yesmaximal, complemented
10#52930C212yesmaximal, complemented
11#49750C212yesmaximal, complemented
12#48838C212yesmaximal, complemented
13#46618C214yesmaximal, complemented
14#46287C212yesmaximal, complemented
15#45645C211yesmaximal, characteristic, complemented
16#45494C211yesmaximal, characteristic, complemented
17#45009C212yesmaximal, complemented
18#44835C212yesmaximal, complemented
19#42808C212yesmaximal, complemented
20#42478C212yesmaximal, complemented
21#42364C214yesmaximal, complemented
22#39887C212yesmaximal, complemented
23#39854C212yesmaximal, complemented
24#38937C212yesmaximal, complemented
25#38905C212yesmaximal, complemented
26#37969C214yesmaximal, complemented
27#36424C212yesmaximal, complemented
28#36097C212yesmaximal, complemented
29#35129C211yesmaximal, characteristic, complemented
30#34963C211yesmaximal, characteristic, complemented
31#34947C211yesmaximal, characteristic, complemented
32C2×#552C2212yescomplemented
33C2×D4×Q8C2212yescomplemented
34C2×#548C2212yes—
35C2×#547C2212yescomplemented
36C2×#546C2212yescomplemented
37C2×#533C2211yescharacteristic, complemented
38C22×#124C2211yescharacteristic, complemented
39C2×#525C2212yes—
40C22×C22⋊Q8C2212yescomplemented
41C2×C4×#41C2211yescharacteristic
42C22×C4×D4C2211yescharacteristic, complemented
43#2854C2214yescomplemented
44#2850C2212yes—
45#2850C2212yescomplemented
46#2848C2212yescomplemented
47#2847C2212yes—
48#2840C2212yescomplemented
49#2835C2214yescomplemented
50#2832C2214yescomplemented
51#2832C2214yescomplemented
52#2824C2212yes—
53#2824C2214yescomplemented
54#2821C2214yescomplemented
55#2816C2214yescomplemented
56#2808C2214yescomplemented
57#2804C2212yes—
58#2804C2214yescomplemented
59#2804C2214yescomplemented
60#2784C2214yescomplemented
61#2782C2214yescomplemented
62#2781C2214yescomplemented
63#2775C2214yescomplemented
64#2775C2214yescomplemented
65#2769C2214yescomplemented
66#2763C2212yescomplemented
67#2763C2214yescomplemented
68#2763C2214yescomplemented
69#2753C2214yescomplemented
70#2753C2214yescomplemented
71#2744C2214yescomplemented
72#2737C2214yescomplemented
73#2737C2214yescomplemented
74#2720C2214yescomplemented
75#2720C2214yescomplemented
76#2720C2214yescomplemented
77#2718C2214yescomplemented
78#2711C2214yescomplemented
79#2706C2214yescomplemented
80#2706C2214yescomplemented
81#2706C2214yescomplemented
82#2696C2214yescomplemented
83#2696C2214yescomplemented
84#2696C2214yescomplemented
85#2696C2214yescomplemented
86#2692C2214yescomplemented
87#2692C2214yescomplemented
88#2692C2214yescomplemented
89#2686C2214yescomplemented
90#2685C2214yescomplemented
91#2684C2214yescomplemented
92#2683C2212yes—
93#2679C2212yes—
94#2679C2212yes—
95#2678C2214yes—
96#2678C2214yescomplemented
97#2678C2214yescomplemented
98#2677C2212yescomplemented
99#2676C2214yes—
100#2676C2214yescomplemented
101#2674C2214yescomplemented
102#2670C2212yes—
103#2668C2212yes—
104#2642C2212yescomplemented
105#2640C2212yescomplemented
106#2636C2214yes—
107#2633C2214yescomplemented
108#2632C2212yescomplemented
109#2632C2214yescomplemented
110#2631C2212yes—
111#2628C2214yescomplemented
112#2626C2214yescomplemented
113#2623C2214yescomplemented
114#2615C2214yes—
115#2610C2212yes—
116#2610C2212yescomplemented
117#2610C2214yescomplemented
118#2598C2212yes—
119#2598C2214yescomplemented
120#2598C2214yescomplemented
121#2598C2212yescomplemented
122#2598C2214yescomplemented
123#2592C2212yescomplemented
124#2580C2212yescomplemented
125#2574C2214yescomplemented
126#2572C2214yescomplemented
127#2572C2214yescomplemented
128#2572C2214yescomplemented
129#2568C2211yescharacteristic, complemented
130#2567C2211yescharacteristic, complemented
131#2566C2212yes—
132#2566C2214yescomplemented
133#2565C2212yescomplemented
134#2564C2212yescomplemented
135#2564C2212yescomplemented
136#2563C2211yescharacteristic
137#2563C2212yescomplemented
138#2562C2212yescomplemented
139#2560C2214yescomplemented
140#2558C2214yescomplemented
141#2556C2214yescomplemented
142#2554C2214yescomplemented
143#2550C2212yescomplemented
144#2545C2212yescomplemented
145#2542C2211yescharacteristic
146#2542C2212yescomplemented
147#2540C2212yes—
148#2540C2212yes—
149#2540C2212yescomplemented
150#2536C2212yescomplemented
151#2535C2212yes—
152#2532C2214yescomplemented
153#2532C2214yescomplemented
154#2526C2214yescomplemented
155#2526C2214yescomplemented
156#2500C2214yescomplemented
157#2498C2214yescomplemented
158#2497C2214yescomplemented
159#2495C2214yescomplemented
160#2492C2212yescomplemented
161#2492C2212yescomplemented
162#2492C2212yescomplemented
163#2492C2212yescomplemented
164#2491C2212yescomplemented
165#2491C2214yescomplemented
166#2490C2212yes—
167#2490C2212yescomplemented
168#2489C2212yescomplemented
169#2487C2211yescharacteristic
170#2487C2211yescharacteristic, complemented
171#2482C2211yescharacteristic, complemented
172#2482C2212yescomplemented
173#2482C2211yescharacteristic, complemented
174#2476C2214yes—
175#2474C2214yescomplemented
176#2472C2214yescomplemented
177#2472C2214yescomplemented
178#2463C2214yescomplemented
179#2461C2214yescomplemented
180#2461C2214yescomplemented
181#2455C2212yes—
182#2449C2214yescomplemented
183#2449C2214yescomplemented
184#2443C2214yescomplemented
185#2440C2214yescomplemented
186#2437C2214yescomplemented
187#2437C2212yescomplemented
188#2436C2212yescomplemented
189#2434C2212yescomplemented
190#2432C2212yescomplemented
191#2432C2212yescomplemented
192#2430C2214yescomplemented
193#2429C2212yescomplemented
194#2427C2212yes—
195#2427C2212yescomplemented
196#2426C2212yescomplemented
197#2424C2214yes—
198#2422C2214yescomplemented
199#2418C2214yescomplemented
200#2417C2212yescomplemented
201#2417C2212yescomplemented
202#2417C2212yescomplemented
203#2417C2212yescomplemented
204#2416C2212yes—
205#2416C2212yescomplemented
206#2415C2212yescomplemented
207#2415C2212yescomplemented
208#2411C2214yescomplemented
209#2410C2214yescomplemented
210#2409C2211yescharacteristic
211#2409C2212yescomplemented
212#2409C2211yescharacteristic, complemented
213#2409C2212yescomplemented
214#2409C2212yescomplemented
215#2408C2211yescharacteristic
216#2408C2211yescharacteristic
217#2408C2211yescharacteristic, complemented
218#2408C2212yescomplemented
219#2408C2211yescharacteristic, complemented
220#2407C2212yes—
221#2407C2212yescomplemented
222#2404C2212yes—
223#2404C2211yescharacteristic
224#2404C2211yescharacteristic
225#2404C2214yescomplemented
226#2404C2214yescomplemented
227#2398C2212yescomplemented
228#2397C2212yes—
229#2396C2212yescomplemented
230#2396C2212yescomplemented
231#2375C2212yes—
232#2375C2212yes—
233#2367C2212yescomplemented
234#2363C2212yescomplemented
235#2361C2214yescomplemented
236#2360C2212yescomplemented
237#2358C2212yes—
238#2358C2212yes—
239#2358C2214yescomplemented
240#2358C2214yescomplemented
241#2356C2212yescomplemented
242#2352C2212yescomplemented
243#2347C2212yescomplemented
244#2346C2214yescomplemented
245#2344C2212yescomplemented
246#2326C2214yescomplemented
247#2324C2214yescomplemented
248#2321C2212yes—
249#2321C2212yescomplemented
250#2320C2212yescomplemented
251#2319C2212yescomplemented
252#2311C2214yescomplemented
253C4×C22⋊Q8C2212yescomplemented
254C4×C22⋊Q8C2212yescomplemented
255C4×#121C2212yes—
256C4×#121C2212yescomplemented
257C4×#120C2211yescharacteristic
258C4×#120C2211yescharacteristic
259C4×#120C2211yescharacteristic, complemented
260C4×#120C2211yescharacteristic, complemented
261#2297C2212yes—
262#2297C2214yescomplemented
263#2285C2212yescomplemented
264#2283C2211yescharacteristic, complemented
265#2283C2211yescharacteristic, complemented
266C2×C4×C4⋊C4C2211yescharacteristic, complemented
267C22×#41C2311yescharacteristic
268C22×#41C2314yes—
269C22×#41C2312yes—
270C23×Q8C2311yescharacteristic
271C23×Q8C2312yes—
272C23×D4C2311yescharacteristic
273C23×D4C2311yescharacteristic
274C24×C4C2311yescharacteristic
275C24×C4C2311yescharacteristic
276#552—48no—
277D4×Q8—48no—
278#548—48no—
279#547—48no—
280#546—48no—
281#533—44no—
282C2×C4⋊Q8C2311yescharacteristic
283C2×C4⋊Q8C2312yes—
284C2×C4⋊Q8C2314yes—
285C2×C4⋊Q8C2311yescharacteristic
286C2×C4⋊Q8C2312yes—
287C2×#126C2314yes—
288C2×#125C2312yes—
289C2×#125C2312yes—
290C2×#125C2314yes—
291C2×#124—44no—
292C2×#124C2312yes—
293C2×#124C2314yes—
294C2×#124C2312yes—
295C2×#124C2312yes—
296C2×#124C2314yes—
297C2×#124C2312yes—
298C2×#124C2312yes—
299#525—48no—
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×#123C2314yes—
305C2×C22⋊Q8—48no—
306C2×C22⋊Q8C2312yes—
307C2×C22⋊Q8C2312yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2314yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2314yes—
319C2×C22⋊Q8C2314yes—
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2314yes—
323C2×#121C2312yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2312yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2314yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2314yes—
334C2×#120C2312yes—
335C2×#120C2311yescharacteristic
336C2×#120C2311yescharacteristic
337C2×#120C2312yes—
338C2×#120C2314yes—
339C2×#120C2314yes—
340C2×#120C2311yescharacteristic
341C2×#120C2311yescharacteristic
342C2×#120C2314yes—
343C2×#120C2314yes—
344C4×#41—44no—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×D4—44no—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2314yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×#117C2312yes—
371C2×#117C2314yes—
372C2×#117C2314yes—
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C2×#117C2312yes—
376C2×#117C2311yescharacteristic
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2314yes—
380C22×C4⋊C4C2311yescharacteristic
381C22×C22⋊C4C2312yes—
382C22×C22⋊C4C2314yes—
383C22×C22⋊C4C2314yes—
384C22×C22⋊C4C2311yescharacteristic
385C22×C22⋊C4C2312yes—
386C22×C22⋊C4C2311yescharacteristic
387C22×C42C2311yescharacteristic
388C22×C42C2311yescharacteristic
389C22×C42C2311yescharacteristic
390C22×C42C2312yes—
391#400C2314yes—
392#400C2312yes—
393#400C2312yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2312yes—
401#400C2314yes—
402#400C2314yes—
403#400C2312yes—
404#400C2314yes—
405#399C2312yes—
406#399C2314yes—
407#399C2312yes—
408#399C2312yes—
409#399C2314yes—
410#399C2312yes—
411#399C2312yes—
412#399C2314yes—
413#399C2312yes—
414#399C2314yes—
415#399C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2312yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#395C2312yes—
446#395C2312yes—
447#395C2312yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2312yes—
454#395C2314yes—
455#394C2314yes—
456#394C2312yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2312yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2312yes—
471#394C2312yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2312yes—
482#393C2312yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#393C2314yes—
489#393C2312yes—
490#393C2314yes—
491#393C2314yes—
492#393C2312yes—
493#393C2314yes—
494#393C2314yes—
495#393C2312yes—
496#393C2314yes—
497#393C2312yes—
498#393C2314yes—
499#392C2312yes—
500#392C2314yes—
501#392C2312yes—
502#392C2312yes—
503#392C2312yes—
504#392C2314yes—
505#392C2314yes—
506#392C2312yes—
507#392C2314yes—
508#392C2314yes—
509#392C2312yes—
510#392C2314yes—
511#391C2314yes—
512#391C2312yes—
513#391C2312yes—
514#391C2314yes—
515#391C2314yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2314yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2314yes—
526#390C2314yes—
527#390C2312yes—
528#390C2314yes—
529#390C2312yes—
530#390C2314yes—
531#390C2314yes—
532#390C2314yes—
533#390C2314yes—
534#390C2312yes—
535#390C2312yes—
536#390C2314yes—
537#390C2314yes—
538#390C2312yes—
539#390C2312yes—
540#390C2314yes—
541#390C2312yes—
542#390C2314yes—
543#390C2314yes—
544#390C2312yes—
545#390C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#388C2312yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2312yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2312yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2312yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2312yes—
621#386C2314yes—
622#386C2312yes—
623#386C2312yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2312yes—
628#386C2312yes—
629#386C2312yes—
630#386C2311yescharacteristic
631#386C2312yes—
632#386C2312yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2311yescharacteristic
637#386C2314yes—
638#386C2311yescharacteristic
639#386C2314yes—
640#386C2311yescharacteristic
641#385C2314yes—
642#385C2314yes—
643#385C2311yescharacteristic
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2311yescharacteristic
648#385C2314yes—
649#385C2312yes—
650#385C2312yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2312yes—
656#385C2312yes—
657#385C2312yes—
658#385C2312yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2311yescharacteristic
668#385C2311yescharacteristic
669#384C2312yes—
670#384C2312yes—
671#384C2314yes—
672#383C2314yes—
673#383C2314yes—
674#383C2314yes—
675#383C2312yes—
676#383C2312yes—
677#382C2312yes—
678#382C2314yes—
679#382C2312yes—
680#382C2314yes—
681#382C2314yes—
682#382C2312yes—
683#382C2312yes—
684#381C2314yes—
685#381C2311yescharacteristic
686#381C2314yes—
687#381C2312yes—
688#381C2311yescharacteristic
689#380C2311yescharacteristic
690#380C2312yes—
691#380C2312yes—
692#380C2312yes—
693#380C2312yes—
694#380C2311yescharacteristic
695#380C2312yes—
696#380C2312yes—
697#380C2314yes—
698#380C2314yes—
699#380C2314yes—
700#380C2314yes—
701#380C2314yes—
702#380C2312yes—
703#380C2314yes—
704#380C2314yes—
705#380C2311yescharacteristic
706#380C2311yescharacteristic
707#380C2312yes—
708#379C2312yes—
709#379C2312yes—
710#379C2311yescharacteristic
711#379C2314yes—
712#379C2314yes—
713#379C2311yescharacteristic
714#379C2311yescharacteristic
715#379C2311yescharacteristic
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2311yescharacteristic
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2314yes—
722C4×C4⋊C4C2311yescharacteristic
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2314yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2314yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2314yes—
730C4×C22⋊C4C2314yes—
731C4×C22⋊C4C2314yes—
732C4×C22⋊C4C2314yes—
733C4×C22⋊C4C2314yes—
734C4×C22⋊C4C2312yes—
735C4×C22⋊C4C2312yes—
736C4×C22⋊C4C2312yes—
737C4×C22⋊C4C2312yes—
738C4×C22⋊C4C2312yes—
739C4×C22⋊C4C2311yescharacteristic
740C4×C22⋊C4C2311yescharacteristic
741#376C2312yes—
742#376C2314yes—
743#376C2312yes—
744C2×#95C2312yes—
745C25C2411yescharacteristic
746C25C2412yes—
747C25C2411yescharacteristic
748C2×#41—24no—
749C2×#41—42no—
750C2×#41—48no—
751C2×#41—42no—
752C2×#41—48no—
753C2×#41—48no—
754C2×#41—44no—
755C2×#41—44no—
756C2×#41—44no—
757C22×Q8—44no—
758C22×Q8—42no—
759C22×Q8—44no—
760C22×Q8—44no—
761C22×Q8—44no—
762C22×Q8C2412yes—
763C22×Q8C2412yes—
764C22×Q8C2411yescharacteristic
765C22×Q8C2412yes—
766C22×Q8C2414yes—
767C22×Q8C2412yes—
768C22×Q8C2414yes—
769C22×D4—42no—
770C22×D4—42no—
771C22×D4—44no—
772C22×D4—44no—
773C22×D4C2412yes—
774C22×D4C2412yes—
775C22×D4C2411yescharacteristic
776C22×D4C2411yescharacteristic
777C22×D4C2412yes—
778C22×D4C2412yes—
779C22×D4C2412yes—
780C22×D4C2412yes—
781C22×D4C2414yes—
782C22×D4C2414yes—
783C22×D4C2414yes—
784C22×D4C2412yes—
785C22×D4C2414yes—
786C22×D4C2414yes—
787C22×D4C2414yes—
788C22×D4C2412yes—
789C22×D4C2411yescharacteristic
790C23×C4—42no—
791C23×C4—42no—
792C23×C4—44no—
793C23×C4—44no—
794C23×C4C2411yescharacteristic
795C23×C4C2412yes—
796C23×C4C2411yescharacteristic
797C23×C4C2412yes—
798C23×C4C2411yescharacteristic
799C23×C4C2411yescharacteristic
800C23×C4C2411yescharacteristic
801C23×C4C2411yescharacteristic
802C23×C4C2414yes—
803C23×C4C2414yes—
804C23×C4C2411yescharacteristic
805C23×C4C2414yes—
806C23×C4C2411yescharacteristic
807C23×C4C2411yescharacteristic
808C23×C4C2412yes—
809C23×C4C2411yescharacteristic
810C23×C4C2414yes—
811C23×C4C2411yescharacteristic
812C23×C4C2414yes—
813C23×C4C2412yes—
814C23×C4C2412yes—
815C4⋊Q8—42no—
816C4⋊Q8—44no—
817C4⋊Q8—48no—
818C4⋊Q8—42no—
819C4⋊Q8—44no—
820#126—48no—
821#125—44no—
822#125—48no—
823#125—44no—
824#124—28no—
825#124—44no—
826#124—44no—
827#124—48no—
828#124—44no—
829#124—44no—
830#124—48no—
831#123—48no—
832#123—48no—
833#123—48no—
834#123—48no—
835#123—48no—
836C22⋊Q8—28no—
837C22⋊Q8—28no—
838C22⋊Q8—28no—
839C22⋊Q8—48no—
840C22⋊Q8—48no—
841C22⋊Q8—48no—
842C22⋊Q8—48no—
843C22⋊Q8—48no—
844C22⋊Q8—44no—
845C22⋊Q8—48no—
846C22⋊Q8—44no—
847C22⋊Q8—44no—
848C22⋊Q8—44no—
849C22⋊Q8—44no—
850C22⋊Q8—44no—
851C22⋊Q8—44no—
852C22⋊Q8—44no—
853#121—28no—
854#121—48no—
855#121—44no—
856#121—44no—
857#121—44no—
858#121—48no—
859#121—44no—
860#121—44no—
861#121—44no—
862#121—48no—
863#121—48no—
864#120—24no—
865#120—28no—
866#120—24no—
867#120—48no—
868#120—48no—
869#120—48no—
870#120—48no—
871#120—42no—
872#120—42no—
873#120—44no—
874C4×Q8—28no—
875C4×Q8—28no—
876C4×Q8—42no—
877C4×Q8—42no—
878C4×Q8—44no—
879C4×D4—28no—
880C4×D4—28no—
881C4×D4—44no—
882C4×D4—48no—
883C4×D4—48no—
884C4×D4—48no—
885C4×D4—44no—
886C4×D4—48no—
887C4×D4—44no—
888C4×D4—42no—
889C4×D4—42no—
890C4×D4—42no—
891C4×D4—42no—
892C4×D4—42no—
893C4×D4—42no—
894C4×D4—44no—
895C4×D4—44no—
896C4×D4—44no—
897C4×D4—44no—
898#117—28no—
899#117—42no—
900#117—42no—
901#117—42no—
902#117—44no—
903#117—48no—
904#117—48no—
905C2×C4⋊C4—28no—
906C2×C4⋊C4—28no—
907C2×C4⋊C4—42no—
908C2×C4⋊C4—48no—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C22⋊C4—42no—
955C2×C22⋊C4—42no—
956C2×C22⋊C4—48no—
957C2×C22⋊C4—44no—
958C2×C22⋊C4—44no—
959C2×C22⋊C4—48no—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2411yescharacteristic
975C2×C22⋊C4C2411yescharacteristic
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2411yescharacteristic
989C2×C22⋊C4C2411yescharacteristic
990C2×C22⋊C4C2411yescharacteristic
991C2×C22⋊C4C2411yescharacteristic
992C2×C22⋊C4C2411yescharacteristic
993C2×C22⋊C4C2411yescharacteristic
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C42—24no—
1030C2×C42—24no—
1031C2×C42—24no—
1032C2×C42—44no—
1033C2×C42C2414yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2414yes—
1048C2×C42C2414yes—
1049C2×C42C2414yes—
1050C2×C42C2414yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054#95C2414yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2414yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106C24—22no—
1107C24—24no—
1108C24—22no—
1109C24—24no—
1110C24—42no—
1111C24—41no—
1112C24—41no—
1113C24—42no—
1114C24—42no—
1115C24—42no—
1116C24—41no—
1117C24—41no—
1118C24—44no—
1119C24—44no—
1120C24—42no—
1121C24C2512yes—
1122C24C2514yes—
1123C24C2511yescharacteristic
1124C24C2511yescharacteristic
1125C24C2512yes—
1126C24C2511yescharacteristic
1127#41—416no—
1128#41—832no—
1129#41—816no—
1130C2×Q8—24no—
1131C2×Q8—24no—
1132C2×Q8—24no—
1133C2×Q8—24no—
1134C2×Q8—24no—
1135C2×Q8—24no—
1136C2×Q8—22no—
1137C2×Q8—41no—
1138C2×Q8—41no—
1139C2×Q8—42no—
1140C2×Q8—44no—
1141C2×Q8—44no—
1142C2×Q8—44no—
1143C2×Q8—44no—
1144C2×Q8—44no—
1145C2×Q8—42no—
1146C2×Q8—44no—
1147C2×Q8—44no—
1148C2×Q8—44no—
1149C2×Q8—816no—
1150C2×Q8—88no—
1151C2×D4—24no—
1152C2×D4—22no—
1153C2×D4—22no—
1154C2×D4—24no—
1155C2×D4—22no—
1156C2×D4—22no—
1157C2×D4—24no—
1158C2×D4—24no—
1159C2×D4—24no—
1160C2×D4—24no—
1161C2×D4—24no—
1162C2×D4—28no—
1163C2×D4—28no—
1164C2×D4—24no—
1165C2×D4—28no—
1166C2×D4—28no—
1167C2×D4—24no—
1168C2×D4—24no—
1169C2×D4—24no—
1170C2×D4—24no—
1171C2×D4—28no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—42no—
1178C2×D4—42no—
1179C2×D4—42no—
1180C2×D4—41no—
1181C2×D4—42no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—42no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—416no—
1201C2×D4—88no—
1202C2×D42−1+414yes—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—28no—
1209C22×C4—28no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—28no—
1217C22×C4—28no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—28no—
1230C22×C4—42no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—42no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—88no—
1258C22×C4—88no—
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2514yes—
1265C22×C4C2511yescharacteristic
1266C22×C4C2514yes—
1267C22×C4C2514yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2514yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2514yes—
1276C22×C4C2514yes—
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C22×C4C2514yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—28no—
1287C4⋊C4—28no—
1288C4⋊C4—24no—
1289C4⋊C4—28no—
1290C4⋊C4—28no—
1291C4⋊C4—24no—
1292C4⋊C4—28no—
1293C4⋊C4—24no—
1294C4⋊C4—28no—
1295C4⋊C4—28no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—44no—
1317C4⋊C4—42no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4H(5,𝔽2)18yes—
1329C22⋊C4—22no—
1330C22⋊C4—24no—
1331C22⋊C4—22no—
1332C22⋊C4—24no—
1333C22⋊C4—28no—
1334C22⋊C4—24no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—28no—
1338C22⋊C4—28no—
1339C22⋊C4—28no—
1340C22⋊C4—28no—
1341C22⋊C4—28no—
1342C22⋊C4—28no—
1343C22⋊C4—28no—
1344C22⋊C4—28no—
1345C22⋊C4—24no—
1346C22⋊C4—28no—
1347C22⋊C4—24no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—42no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—42no—
1367C22⋊C4—44no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—41no—
1379C22⋊C4—42no—
1380C22⋊C4—44no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—41no—
1384C22⋊C4—44no—
1385C22⋊C4—42no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C42—22no—
1399C42—22no—
1400C42—22no—
1401C42—22no—
1402C42—22no—
1403C42—22no—
1404C42—22no—
1405C42—22no—
1406C42—22no—
1407C42—28no—
1408C42—28no—
1409C42—28no—
1410C42—24no—
1411C42—24no—
1412C42—44no—
1413C42—42no—
1414C42—42no—
1415C42—44no—
1416C42—44no—
1417C42—44no—
1418C42H(5,𝔽2)14yes—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—21no—
1424C23—22no—
1425C23—21no—
1426C23—21no—
1427C23—22no—
1428C23—22no—
1429C23—21no—
1430C23—22no—
1431C23—21no—
1432C23—21no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—24no—
1439C23—22no—
1440C23—24no—
1441C23—24no—
1442C23—22no—
1443C23—22no—
1444C23—24no—
1445C23—24no—
1446C23—22no—
1447C23—24no—
1448C23—22no—
1449C23—22no—
1450C23—24no—
1451C23—44no—
1452C23—48no—
1453C23—44no—
1454C23—84no—
1455C23—84no—
1456C23—82no—
1457C23—82no—
1458C23—88no—
1459C23—84no—
1460C23—82no—
1461C23—82no—
1462C23—84no—
1463C23—84no—
1464C23—84no—
1465C23—164no—
1466C23C2×2−1+412yes—
1467C23C2×2−1+412yes—
1468C23#58514yes—
1469C23#58512yes—
1470C23C2611yescharacteristic
1471Q8—44no—
1472Q8—48no—
1473Q8—48no—
1474Q8—84no—
1475Q8—88no—
1476Q8—84no—
1477Q8—88no—
1478D4—44no—
1479D4—48no—
1480D4—48no—
1481D4—44no—
1482D4—44no—
1483D4—48no—
1484D4—48no—
1485D4—48no—
1486D4—88no—
1487D4—88no—
1488D4—84no—
1489D4—88no—
1490D4—84no—
1491D4—88no—
1492D4—88no—
1493D4—84no—
1494D4—88no—
1495C2×C4—28no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—24no—
1501C2×C4—24no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—24no—
1520C2×C4—24no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—24no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—24no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—24no—
1545C2×C4—24no—
1546C2×C4—24no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—44no—
1558C2×C4—44no—
1559C2×C4—416no—
1560C2×C4—416no—
1561C2×C4—44no—
1562C2×C4—44no—
1563C2×C4—44no—
1564C2×C4—48no—
1565C2×C4—48no—
1566C2×C4—44no—
1567C2×C4—82no—
1568C2×C4—82no—
1569C2×C4—88no—
1570C2×C4—82no—
1571C2×C4—84no—
1572C2×C4—84no—
1573C2×C4—82no—
1574C2×C4—88no—
1575C2×C4—84no—
1576C2×C4—88no—
1577C2×C4C2×H(5,𝔽2)12yes—
1578C2×C4C2×H(5,𝔽2)12yes—
1579C2×C4C2×H(5,𝔽2)18yes—
1580C2×C4C2×H(5,𝔽2)12yes—
1581C2×C4C2×H(5,𝔽2)14yes—
1582C2×C4C2×2−1+412yes—
1583C22—24no—
1584C22—24no—
1585C22—24no—
1586C22—24no—
1587C22—24no—
1588C22—24no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—42no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—42no—
1600C22—42no—
1601C22—42no—
1602C22—42no—
1603C22—42no—
1604C22—42no—
1605C22—42no—
1606C22—44no—
1607C22—42no—
1608C22—44no—
1609C22—42no—
1610C22—44no—
1611C22—42no—
1612C22—44no—
1613C22—44no—
1614C22—42no—
1615C22—42no—
1616C22—44no—
1617C22—42no—
1618C22—44no—
1619C22—88no—
1620C22—88no—
1621C22—168no—
1622C22C22×H(5,𝔽2)11yescharacteristic
1623C22C22×H(5,𝔽2)12yes—
1624C22C22×2−1+411yescharacteristic
1625C22C2×#58512yes—
1626C22C2×#58511yescharacteristic
1627C4—22no—
1628C4—28no—
1629C4—22no—
1630C4—22no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—44no—
1635C4—41no—
1636C4—41no—
1637C4—42no—
1638C4—42no—
1639C4—41no—
1640C4—44no—
1641C4—44no—
1642C4—42no—
1643C4—42no—
1644C4—44no—
1645C4—44no—
1646C4—44no—
1647C4—42no—
1648C4—42no—
1649C4—41no—
1650C4—41no—
1651C4#354914yes—
1652C2—42no—
1653C2—44no—
1654C2—42no—
1655C2—42no—
1656C2—82no—
1657C2—84no—
1658C2#6272911yescharacteristic
1659C2C2×#354911yescharacteristic
1660C2#6281911yescharacteristic
1661C2#6301512yes—
1662C2#6301712yes—
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. #60045C2semidirect
2. #59237C2semidirect
3. #59130C2semidirect
4. #59000C2semidirect
5. #58998C2semidirect
6. #58391C2semidirect
7. #57964C2semidirect
8. #55130C2semidirect
9. #53144C2semidirect
10. #52930C2semidirect
11. #49750C2semidirect
12. #48838C2semidirect
13. #46618C2semidirect
14. #46287C2semidirect
15. #45645C2semidirect
16. #45494C2semidirect
17. #45009C2semidirect
18. #44835C2semidirect
19. #42808C2semidirect
20. #42478C2semidirect
21. #42364C2semidirect
22. #39887C2semidirect
23. #39854C2semidirect
24. #38937C2semidirect
25. #38905C2semidirect
26. #37969C2semidirect
27. #36424C2semidirect
28. #36097C2semidirect
29. #35129C2semidirect
30. #34963C2semidirect
31. #34947C2semidirect
32. C2×#552C22semidirect
33. C2×D4×Q8C22semidirect
35. C2×#547C22semidirect
36. C2×#546C22semidirect
37. C2×#533C22semidirect
38. C22×#124C22semidirect
40. C22×C22⋊Q8C22semidirect
42. C22×C4×D4C22semidirect
43. #2854C22semidirect
45. #2850C22semidirect
46. #2848C22semidirect
48. #2840C22semidirect
49. #2835C22semidirect
50. #2832C22semidirect
51. #2832C22semidirect
53. #2824C22semidirect
54. #2821C22semidirect
55. #2816C22semidirect
56. #2808C22semidirect
58. #2804C22semidirect
59. #2804C22semidirect
60. #2784C22semidirect
61. #2782C22semidirect
62. #2781C22semidirect
63. #2775C22semidirect
64. #2775C22semidirect
65. #2769C22semidirect
66. #2763C22semidirect
67. #2763C22semidirect
68. #2763C22semidirect
69. #2753C22semidirect
70. #2753C22semidirect
71. #2744C22semidirect
72. #2737C22semidirect
73. #2737C22semidirect
74. #2720C22semidirect
75. #2720C22semidirect
76. #2720C22semidirect
77. #2718C22semidirect
78. #2711C22semidirect
79. #2706C22semidirect
80. #2706C22semidirect
81. #2706C22semidirect
82. #2696C22semidirect
83. #2696C22semidirect
84. #2696C22semidirect
85. #2696C22semidirect
86. #2692C22semidirect
87. #2692C22semidirect
88. #2692C22semidirect
89. #2686C22semidirect
90. #2685C22semidirect
91. #2684C22semidirect
96. #2678C22semidirect
97. #2678C22semidirect
98. #2677C22semidirect
100. #2676C22semidirect
101. #2674C22semidirect
104. #2642C22semidirect
105. #2640C22semidirect
107. #2633C22semidirect
108. #2632C22semidirect
109. #2632C22semidirect
111. #2628C22semidirect
112. #2626C22semidirect
113. #2623C22semidirect
116. #2610C22semidirect
117. #2610C22semidirect
119. #2598C22semidirect
120. #2598C22semidirect
121. #2598C22semidirect
122. #2598C22semidirect
123. #2592C22semidirect
124. #2580C22semidirect
125. #2574C22semidirect
126. #2572C22semidirect
127. #2572C22semidirect
128. #2572C22semidirect
129. #2568C22semidirect
130. #2567C22semidirect
132. #2566C22semidirect
133. #2565C22semidirect
134. #2564C22semidirect
135. #2564C22semidirect
137. #2563C22semidirect
138. #2562C22semidirect
139. #2560C22semidirect
140. #2558C22semidirect
141. #2556C22semidirect
142. #2554C22semidirect
143. #2550C22semidirect
144. #2545C22semidirect
146. #2542C22semidirect
149. #2540C22semidirect
150. #2536C22semidirect
152. #2532C22semidirect
153. #2532C22semidirect
154. #2526C22semidirect
155. #2526C22semidirect
156. #2500C22semidirect
157. #2498C22semidirect
158. #2497C22semidirect
159. #2495C22semidirect
160. #2492C22semidirect
161. #2492C22semidirect
162. #2492C22semidirect
163. #2492C22semidirect
164. #2491C22semidirect
165. #2491C22semidirect
167. #2490C22semidirect
168. #2489C22semidirect
170. #2487C22semidirect
171. #2482C22semidirect
172. #2482C22semidirect
173. #2482C22semidirect
175. #2474C22semidirect
176. #2472C22semidirect
177. #2472C22semidirect
178. #2463C22semidirect
179. #2461C22semidirect
180. #2461C22semidirect
182. #2449C22semidirect
183. #2449C22semidirect
184. #2443C22semidirect
185. #2440C22semidirect
186. #2437C22semidirect
187. #2437C22semidirect
188. #2436C22semidirect
189. #2434C22semidirect
190. #2432C22semidirect
191. #2432C22semidirect
192. #2430C22semidirect
193. #2429C22semidirect
195. #2427C22semidirect
196. #2426C22semidirect
198. #2422C22semidirect
199. #2418C22semidirect
200. #2417C22semidirect
201. #2417C22semidirect
202. #2417C22semidirect
203. #2417C22semidirect
205. #2416C22semidirect
206. #2415C22semidirect
207. #2415C22semidirect
208. #2411C22semidirect
209. #2410C22semidirect
211. #2409C22semidirect
212. #2409C22semidirect
213. #2409C22semidirect
214. #2409C22semidirect
217. #2408C22semidirect
218. #2408C22semidirect
219. #2408C22semidirect
221. #2407C22semidirect
225. #2404C22semidirect
226. #2404C22semidirect
227. #2398C22semidirect
229. #2396C22semidirect
230. #2396C22semidirect
233. #2367C22semidirect
234. #2363C22semidirect
235. #2361C22semidirect
236. #2360C22semidirect
239. #2358C22semidirect
240. #2358C22semidirect
241. #2356C22semidirect
242. #2352C22semidirect
243. #2347C22semidirect
244. #2346C22semidirect
245. #2344C22semidirect
246. #2326C22semidirect
247. #2324C22semidirect
249. #2321C22semidirect
250. #2320C22semidirect
251. #2319C22semidirect
252. #2311C22semidirect
253. C4×C22⋊Q8C22semidirect
254. C4×C22⋊Q8C22semidirect
256. C4×#121C22semidirect
259. C4×#120C22semidirect
260. C4×#120C22semidirect
262. #2297C22semidirect
263. #2285C22semidirect
264. #2283C22semidirect
265. #2283C22semidirect
266. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#600452
#592372
#591302
#590002
#589982
#583912
#579642
#551302
#531442
#529302
#497502
#488382
#466182
#462872
#456452
#454942
#450092
#448352
#428082
#424782
#423642
#398872
#398542
#389372
#389052
#379692
#364242
#360972
#351292
#349632
#349472