Finite Group Databasebeta

← #8106225

Subgroups — #8106225

Order 512.

5683 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53045C212yesmaximal, complemented
2#53007C211yesmaximal, characteristic, complemented
3#52958C211yesmaximal, characteristic, complemented
4#52411C212yesmaximal, complemented
5#52396C212yesmaximal, complemented
6#52326C214yesmaximal, complemented
7#45330C211yesmaximal, characteristic, complemented
8#45325C212yesmaximal, complemented
9#45321C211yesmaximal, characteristic, complemented
10#44217C214yesmaximal, complemented
11#43553C212yesmaximal, complemented
12#43175C212yesmaximal, complemented
13#42920C212yesmaximal, complemented
14#42911C212yesmaximal, complemented
15#42786C212yesmaximal, complemented
16#42446C212yesmaximal, complemented
17#42122C212yesmaximal, complemented
18#42043C212yesmaximal, complemented
19#41174C212yesmaximal, complemented
20#40974C212yesmaximal, complemented
21#40560C214yesmaximal, complemented
22#40542C214yesmaximal, complemented
23#36204C212yesmaximal, complemented
24#36161C212yesmaximal, complemented
25#36130C212yesmaximal, complemented
26D4×C22⋊Q8C212yesmaximal, complemented
27#35305C212yesmaximal, complemented
28#35240C211yesmaximal, characteristic, complemented
29#35084C211yesmaximal, characteristic, complemented
30#35014C212yesmaximal, complemented
31C2×#2388C211yesmaximal, characteristic
32C23×#41C2211yescharacteristic
33C2×#556C2212yescomplemented
34C2×D4×Q8C2212yescomplemented
35C2×#536C2212yescomplemented
36C2×#536C2212yescomplemented
37C2×#533C2211yescharacteristic
38C22×C22⋊Q8C2211yescharacteristic
39C22×C22⋊Q8C2212yes—
40C22×C4×D4C2211yescharacteristic
41C22×C4×D4C2212yes—
42#2857C2212yes—
43#2857C2212yes—
44#2855C2212yes—
45#2848C2212yes—
46#2848C2212yes—
47#2848C2212yes—
48#2848C2212yes—
49#2848C2212yes—
50#2841C2212yescomplemented
51#2838C2214yescomplemented
52#2837C2214yescomplemented
53#2837C2214yescomplemented
54#2835C2212yescomplemented
55#2832C2212yescomplemented
56#2832C2214yescomplemented
57#2831C2214yescomplemented
58#2829C2214yescomplemented
59#2829C2214yescomplemented
60#2827C2214yescomplemented
61#2823C2212yescomplemented
62#2821C2214yescomplemented
63#2814C2214yescomplemented
64#2811C2212yescomplemented
65#2806C2214yescomplemented
66#2803C2214yescomplemented
67#2801C2214yescomplemented
68#2800C2214yescomplemented
69#2797C2214yescomplemented
70#2795C2214yescomplemented
71#2792C2214yescomplemented
72#2792C2212yescomplemented
73#2779C2214yescomplemented
74#2764C2212yescomplemented
75#2757C2214yescomplemented
76#2752C2212yescomplemented
77#2745C2214yescomplemented
78#2734C2214yescomplemented
79#2731C2214yescomplemented
80#2730C2214yescomplemented
81#2730C2214yescomplemented
82#2729C2214yescomplemented
83#2728C2212yescomplemented
84#2718C2214yescomplemented
85#2718C2214yescomplemented
86#2716C2214yescomplemented
87#2712C2214yescomplemented
88#2712C2214yescomplemented
89#2712C2212yescomplemented
90#2710C2214yescomplemented
91#2710C2214yescomplemented
92#2710C2214yescomplemented
93#2705C2214yescomplemented
94#2705C2214yescomplemented
95#2702C2214yescomplemented
96#2695C2214yescomplemented
97#2680C2212yescomplemented
98#2677C2212yescomplemented
99#2674C2214yescomplemented
100#2663C2214yescomplemented
101#2662C2214yescomplemented
102#2662C2214yescomplemented
103#2653C2214yescomplemented
104#2651C2214yescomplemented
105#2646C2214yes—
106#2638C2212yescomplemented
107#2638C2212yescomplemented
108#2633C2212yescomplemented
109#2633C2212yescomplemented
110#2632C2214yescomplemented
111#2630C2214yescomplemented
112#2630C2214yescomplemented
113#2626C2214yes—
114#2616C2212yescomplemented
115#2616C2212yescomplemented
116#2616C2212yescomplemented
117#2616C2212yescomplemented
118#2602C2214yescomplemented
119#2600C2212yescomplemented
120#2589C2214yescomplemented
121#2589C2214yescomplemented
122#2587C2214yescomplemented
123#2587C2214yescomplemented
124#2586C2212yescomplemented
125#2586C2214yescomplemented
126#2583C2212yes—
127#2573C2214yescomplemented
128#2567C2214yescomplemented
129#2561C2212yes—
130#2561C2214yes—
131#2557C2214yescomplemented
132#2556C2214yescomplemented
133#2551C2212yescomplemented
134#2549C2214yes—
135#2547C2211yescharacteristic, complemented
136#2547C2212yescomplemented
137#2547C2211yescharacteristic, complemented
138#2542C2211yescharacteristic, complemented
139#2542C2212yescomplemented
140#2542C2211yescharacteristic, complemented
141#2538C2212yescomplemented
142#2538C2212yescomplemented
143#2536C2212yescomplemented
144#2536C2212yescomplemented
145#2527C2214yescomplemented
146#2523C2214yescomplemented
147#2521C2214yescomplemented
148#2502C2212yes—
149#2499C2212yescomplemented
150#2497C2212yescomplemented
151#2497C2212yescomplemented
152#2496C2212yescomplemented
153#2494C2212yescomplemented
154#2493C2214yes—
155#2492C2212yescomplemented
156#2492C2212yescomplemented
157#2492C2212yescomplemented
158#2492C2212yescomplemented
159#2486C2211yescharacteristic, complemented
160#2486C2211yescharacteristic, complemented
161#2485C2212yescomplemented
162#2485C2212yescomplemented
163#2483C2212yes—
164#2482C2212yes—
165#2482C2212yes—
166#2480C2214yes—
167#2480C2214yes—
168#2480C2214yes—
169#2473C2214yescomplemented
170#2466C2214yescomplemented
171#2466C2214yescomplemented
172#2465C2214yescomplemented
173#2461C2214yescomplemented
174#2461C2214yescomplemented
175#2459C2214yescomplemented
176#2458C2214yescomplemented
177#2455C2212yescomplemented
178#2452C2214yescomplemented
179#2451C2214yescomplemented
180#2449C2214yescomplemented
181#2449C2214yescomplemented
182#2447C2214yescomplemented
183#2440C2214yes—
184#2440C2212yescomplemented
185#2439C2212yescomplemented
186#2438C2214yes—
187#2437C2214yes—
188#2437C2214yes—
189#2437C2214yes—
190#2435C2214yes—
191#2435C2212yes—
192#2435C2214yes—
193#2434C2214yes—
194#2434C2212yescomplemented
195#2432C2214yescomplemented
196#2432C2214yescomplemented
197#2429C2212yescomplemented
198#2429C2212yescomplemented
199#2429C2212yescomplemented
200#2429C2212yescomplemented
201#2423C2212yescomplemented
202#2423C2212yescomplemented
203#2423C2212yescomplemented
204#2421C2212yescomplemented
205#2417C2212yescomplemented
206#2417C2212yescomplemented
207#2415C2212yescomplemented
208#2415C2212yescomplemented
209#2415C2212yescomplemented
210#2415C2212yescomplemented
211#2409C2211yescharacteristic, complemented
212#2409C2211yescharacteristic, complemented
213#2409C2212yescomplemented
214#2409C2212yescomplemented
215#2406C2214yescomplemented
216#2406C2214yescomplemented
217#2405C2212yes—
218#2405C2214yes—
219#2405C2214yes—
220#2388C2211yescharacteristic
221#2388C2211yescharacteristic
222#2388C2211yescharacteristic
223#2388C2211yescharacteristic
224#2388C2212yes—
225#2388C2211yescharacteristic
226#2388C2211yescharacteristic
227#2388C2212yes—
228#2388C2211yescharacteristic
229#2388C2212yes—
230#2388C2212yes—
231#2388C2211yescharacteristic
232C2×#395C2211yescharacteristic
233C2×#394C2212yes—
234C2×#394C2211yescharacteristic
235C2×#393C2211yescharacteristic
236C2×#392C2212yes—
237C2×#392C2211yescharacteristic
238#2373C2214yescomplemented
239#2368C2214yes—
240#2367C2214yescomplemented
241#2362C2212yescomplemented
242#2360C2214yes—
243#2360C2212yescomplemented
244#2360C2214yescomplemented
245#2354C2212yescomplemented
246D4×C4⋊C4C2214yescomplemented
247D4×C4⋊C4C2212yescomplemented
248#2347C2212yescomplemented
249#2342C2214yes—
250Q8×C22⋊C4C2212yescomplemented
251D4×C22⋊C4C2214yes—
252#2329C2214yes—
253#2326C2212yescomplemented
254#2326C2212yescomplemented
255#2322C2212yescomplemented
256#2322C2212yescomplemented
257#2312C2214yes—
258#2311C2212yescomplemented
259#2311C2212yescomplemented
260C4×C22⋊Q8C2212yes—
261C4×C22⋊Q8C2212yes—
262#2283C2211yescharacteristic
263#2280C2211yescharacteristic
264#2280C2212yes—
265C2×C4×C22⋊C4C2212yes—
266C2×C4×C22⋊C4C2211yescharacteristic
267C22×#41—44no—
268C22×#41—48no—
269C22×#41C2311yescharacteristic
270C22×#41C2312yes—
271C22×#41C2311yescharacteristic
272C22×#41C2311yescharacteristic
273C22×#41C2312yes—
274C22×#41C2311yescharacteristic
275C23×Q8C2312yes—
276C23×Q8C2311yescharacteristic
277C23×Q8C2311yescharacteristic
278C23×D4C2312yes—
279C23×D4C2311yescharacteristic
280C23×D4C2312yes—
281C23×D4C2311yescharacteristic
282C24×C4C2312yes—
283C24×C4C2311yescharacteristic
284C24×C4C2311yescharacteristic
285#556—48no—
286D4×Q8—48no—
287#536—48no—
288#536—48no—
289#533—44no—
290C2×C4⋊Q8C2314yes—
291C2×C4⋊Q8C2312yes—
292C2×C4⋊Q8C2312yes—
293C2×C4⋊Q8C2314yes—
294C2×C4⋊Q8C2311yescharacteristic
295C2×C4⋊Q8C2311yescharacteristic
296C2×C4⋊Q8C2314yes—
297C2×#126C2314yes—
298C2×#126C2314yes—
299C2×#126C2314yes—
300C2×#125C2312yes—
301C2×#124C2312yes—
302C2×#124C2312yes—
303C2×#124C2314yes—
304C2×#124C2314yes—
305C2×#124C2314yes—
306C2×#124C2314yes—
307C2×#123C2312yes—
308C2×#123C2312yes—
309C2×#123C2314yes—
310C2×#123C2314yes—
311C2×#123C2314yes—
312C2×#123C2314yes—
313C2×C22⋊Q8—44no—
314C2×C22⋊Q8—48no—
315C2×C22⋊Q8C2314yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2314yes—
339C2×C4×Q8C2314yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×D4—44no—
345C2×C4×D4—48no—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2314yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2312yes—
367C2×#117C2312yes—
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2314yes—
373C22×C4⋊C4C2312yes—
374C22×C22⋊C4C2312yes—
375C22×C22⋊C4C2312yes—
376C22×C22⋊C4C2311yescharacteristic
377C22×C22⋊C4C2312yes—
378C22×C22⋊C4C2314yes—
379C22×C22⋊C4C2312yes—
380C22×C22⋊C4C2311yescharacteristic
381C22×C22⋊C4C2312yes—
382C22×C22⋊C4C2312yes—
383C22×C42C2311yescharacteristic
384C22×C42C2312yes—
385#401C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#399C2312yes—
395#399C2314yes—
396#399C2314yes—
397#399C2312yes—
398#399C2314yes—
399#399C2314yes—
400#399C2312yes—
401#399C2314yes—
402#399C2312yes—
403#398C2314yes—
404#398C2314yes—
405#398C2312yes—
406#398C2314yes—
407#398C2312yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#397C2312yes—
418#397C2314yes—
419#397C2314yes—
420#397C2312yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2312yes—
430#397C2312yes—
431#397C2312yes—
432#397C2314yes—
433#397C2314yes—
434#397C2312yes—
435#397C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2312yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2312yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2312yes—
460#395C2311yescharacteristic
461#395C2314yes—
462#395C2311yescharacteristic
463#395C2312yes—
464#395C2311yescharacteristic
465#395C2311yescharacteristic
466#394C2311yescharacteristic
467#394C2314yes—
468#394C2312yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2312yes—
479#394C2314yes—
480#394C2311yescharacteristic
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2312yes—
490#394C2314yes—
491#394C2312yes—
492#394C2312yes—
493#394C2311yescharacteristic
494#394C2311yescharacteristic
495#394C2312yes—
496#394C2312yes—
497#394C2312yes—
498#394C2312yes—
499#394C2312yes—
500#393C2312yes—
501#393C2314yes—
502#393C2312yes—
503#393C2314yes—
504#393C2312yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2311yescharacteristic
510#393C2311yescharacteristic
511#393C2314yes—
512#393C2311yescharacteristic
513#393C2311yescharacteristic
514#393C2312yes—
515#392C2312yes—
516#392C2311yescharacteristic
517#392C2312yes—
518#392C2312yes—
519#392C2312yes—
520#392C2312yes—
521#392C2312yes—
522#392C2312yes—
523#392C2312yes—
524#392C2312yes—
525#392C2311yescharacteristic
526#392C2312yes—
527#392C2311yescharacteristic
528#392C2311yescharacteristic
529#391C2314yes—
530#391C2314yes—
531#391C2314yes—
532#391C2314yes—
533#391C2312yes—
534#391C2314yes—
535#391C2312yes—
536#391C2314yes—
537#391C2314yes—
538#391C2314yes—
539#391C2312yes—
540#391C2312yes—
541#391C2314yes—
542#391C2314yes—
543#391C2312yes—
544#391C2312yes—
545#391C2314yes—
546#391C2312yes—
547#391C2312yes—
548#390C2314yes—
549#390C2314yes—
550#390C2314yes—
551#390C2314yes—
552#390C2312yes—
553#390C2312yes—
554#390C2314yes—
555#390C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2314yes—
575#389C2312yes—
576#389C2312yes—
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#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2312yes—
632#386C2312yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2312yes—
641#385C2314yes—
642#385C2314yes—
643#385C2312yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#384C2312yes—
666#384C2314yes—
667#384C2312yes—
668#384C2312yes—
669#384C2312yes—
670#383C2314yes—
671#383C2312yes—
672#382C2312yes—
673#381C2314yes—
674#381C2312yes—
675#381C2314yes—
676#381C2312yes—
677#381C2312yes—
678#381C2312yes—
679#380C2312yes—
680#380C2312yes—
681#380C2312yes—
682#380C2312yes—
683#380C2312yes—
684#380C2312yes—
685#380C2312yes—
686#380C2312yes—
687#380C2314yes—
688#380C2314yes—
689#380C2314yes—
690#380C2314yes—
691#380C2312yes—
692#380C2312yes—
693#380C2312yes—
694#380C2312yes—
695#380C2314yes—
696#380C2314yes—
697#380C2312yes—
698#380C2312yes—
699#380C2311yescharacteristic
700#380C2311yescharacteristic
701#379C2314yes—
702#379C2314yes—
703#379C2314yes—
704#379C2314yes—
705#379C2314yes—
706#379C2314yes—
707#379C2312yes—
708C4×C4⋊C4C2314yes—
709C4×C4⋊C4C2314yes—
710C4×C4⋊C4C2314yes—
711C4×C4⋊C4C2314yes—
712C4×C4⋊C4C2314yes—
713C4×C4⋊C4C2311yescharacteristic
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2311yescharacteristic
717C4×C22⋊C4C2314yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2314yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2312yes—
722C4×C22⋊C4C2311yescharacteristic
723C4×C22⋊C4C2312yes—
724C4×C22⋊C4C2311yescharacteristic
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2314yes—
728C4×C22⋊C4C2312yes—
729C4×C22⋊C4C2314yes—
730C4×C22⋊C4C2312yes—
731C4×C22⋊C4C2314yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2312yes—
735C4×C22⋊C4C2311yescharacteristic
736C4×C22⋊C4C2312yes—
737C4×C22⋊C4C2311yescharacteristic
738C4×C22⋊C4C2312yes—
739C4×C22⋊C4C2312yes—
740#376C2312yes—
741C2×#95C2311yescharacteristic
742C2×#95C2312yes—
743C2×#95C2311yescharacteristic
744C2×#95C2312yes—
745C25C2412yes—
746C25C2411yescharacteristic
747C25C2411yescharacteristic
748C2×#41—28no—
749C2×#41—28no—
750C2×#41—42no—
751C2×#41—44no—
752C2×#41—44no—
753C2×#41—42no—
754C2×#41—44no—
755C2×#41—42no—
756C2×#41—42no—
757C2×#41—44no—
758C2×#41—44no—
759C2×#41—44no—
760C2×#41—44no—
761C2×#41—44no—
762C2×#41—464no—
763C22×Q8—28no—
764C22×Q8—42no—
765C22×Q8—44no—
766C22×Q8—44no—
767C22×Q8—42no—
768C22×Q8—44no—
769C22×Q8—44no—
770C22×Q8C2412yes—
771C22×Q8C2412yes—
772C22×Q8C2411yescharacteristic
773C22×Q8C2412yes—
774C22×Q8C2414yes—
775C22×Q8C2414yes—
776C22×Q8C2412yes—
777C22×Q8C2412yes—
778C22×Q8C2411yescharacteristic
779C22×D4—28no—
780C22×D4—42no—
781C22×D4—44no—
782C22×D4—42no—
783C22×D4—42no—
784C22×D4—44no—
785C22×D4—44no—
786C22×D4—44no—
787C22×D4—42no—
788C22×D4—44no—
789C22×D4—44no—
790C22×D4C2412yes—
791C22×D4C2411yescharacteristic
792C22×D4C2412yes—
793C22×D4C2412yes—
794C22×D4C2411yescharacteristic
795C22×D4C2412yes—
796C22×D4C2411yescharacteristic
797C22×D4C2411yescharacteristic
798C22×D4C2412yes—
799C22×D4C2412yes—
800C22×D4C2412yes—
801C22×D4C2412yes—
802C22×D4C2411yescharacteristic
803C22×D4C2411yescharacteristic
804C22×D4C2412yes—
805C23×C4—28no—
806C23×C4—24no—
807C23×C4—28no—
808C23×C4—24no—
809C23×C4—44no—
810C23×C4—44no—
811C23×C4—44no—
812C23×C4C2411yescharacteristic
813C23×C4C2411yescharacteristic
814C23×C4C2411yescharacteristic
815C23×C4C2412yes—
816C23×C4C2411yescharacteristic
817C23×C4C2411yescharacteristic
818C23×C4C2411yescharacteristic
819C23×C4C2412yes—
820C23×C4C2412yes—
821C23×C4C2412yes—
822C23×C4C2412yes—
823C23×C4C2411yescharacteristic
824C23×C4C2412yes—
825C23×C4C2411yescharacteristic
826C23×C4C2412yes—
827C23×C4C2414yes—
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2414yes—
834C23×C4C2412yes—
835C23×C4C2412yes—
836C4⋊Q8—42no—
837C4⋊Q8—44no—
838C4⋊Q8—42no—
839C4⋊Q8—48no—
840C4⋊Q8—44no—
841C4⋊Q8—48no—
842C4⋊Q8—48no—
843#126—48no—
844#126—48no—
845#126—48no—
846#125—44no—
847#124—44no—
848#124—48no—
849#124—44no—
850#124—48no—
851#124—48no—
852#124—48no—
853#123—48no—
854#123—44no—
855#123—48no—
856#123—48no—
857#123—44no—
858#123—48no—
859C22⋊Q8—28no—
860C22⋊Q8—28no—
861C22⋊Q8—28no—
862C22⋊Q8—28no—
863C22⋊Q8—216no—
864C22⋊Q8—44no—
865C22⋊Q8—48no—
866C22⋊Q8—44no—
867C22⋊Q8—48no—
868C22⋊Q8—48no—
869C22⋊Q8—48no—
870C22⋊Q8—44no—
871C22⋊Q8—48no—
872C22⋊Q8—44no—
873C22⋊Q8—44no—
874C22⋊Q8—44no—
875C22⋊Q8—44no—
876C22⋊Q8—44no—
877C22⋊Q8—44no—
878C22⋊Q8—44no—
879C22⋊Q8—44no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882C22⋊Q8—44no—
883C4×Q8—44no—
884C4×Q8—48no—
885C4×Q8—44no—
886C4×Q8—44no—
887C4×Q8—44no—
888C4×D4—28no—
889C4×D4—28no—
890C4×D4—42no—
891C4×D4—42no—
892C4×D4—42no—
893C4×D4—42no—
894C4×D4—42no—
895C4×D4—42no—
896C4×D4—42no—
897C4×D4—42no—
898C4×D4—44no—
899C4×D4—44no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—44no—
903C4×D4—44no—
904C4×D4—48no—
905C4×D4—48no—
906#117—28no—
907#117—44no—
908#117—44no—
909#117—44no—
910C2×C4⋊C4—44no—
911C2×C4⋊C4—42no—
912C2×C4⋊C4—44no—
913C2×C4⋊C4—48no—
914C2×C4⋊C4—44no—
915C2×C4⋊C4—42no—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C22⋊C4—28no—
967C2×C22⋊C4—28no—
968C2×C22⋊C4—44no—
969C2×C22⋊C4—44no—
970C2×C22⋊C4—44no—
971C2×C22⋊C4—44no—
972C2×C22⋊C4—48no—
973C2×C22⋊C4—42no—
974C2×C22⋊C4—42no—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C42—24no—
1038C2×C42—44no—
1039C2×C42C2414yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2412yes—
1047C2×C42C2414yes—
1048C2×C42C2414yes—
1049C2×C42C2414yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2414yes—
1053C2×C42C2414yes—
1054C2×C42C2414yes—
1055C2×C42C2412yes—
1056C2×C42C2414yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2411yescharacteristic
1061#95C2412yes—
1062#95C2411yescharacteristic
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2411yescharacteristic
1068#95C2412yes—
1069#95C2411yescharacteristic
1070#95C2412yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2412yes—
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—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111C24—24no—
1112C24—22no—
1113C24—22no—
1114C24—22no—
1115C24—24no—
1116C24—24no—
1117C24—24no—
1118C24—24no—
1119C24—24no—
1120C24—42no—
1121C24—42no—
1122C24—42no—
1123C24—42no—
1124C24—41no—
1125C24—41no—
1126C24—42no—
1127C24—41no—
1128C24C2511yescharacteristic
1129C24C2512yes—
1130C24C2511yescharacteristic
1131C24C2511yescharacteristic
1132C24C2512yes—
1133C24C2511yescharacteristic
1134C24C2511yescharacteristic
1135#41—416no—
1136#41—432no—
1137#41—416no—
1138#41—432no—
1139#41—416no—
1140#41—416no—
1141C2×Q8—24no—
1142C2×Q8—24no—
1143C2×Q8—24no—
1144C2×Q8—24no—
1145C2×Q8—24no—
1146C2×Q8—24no—
1147C2×Q8—24no—
1148C2×Q8—24no—
1149C2×Q8—28no—
1150C2×Q8—28no—
1151C2×Q8—24no—
1152C2×Q8—42no—
1153C2×Q8—41no—
1154C2×Q8—42no—
1155C2×Q8—41no—
1156C2×Q8—42no—
1157C2×Q8—42no—
1158C2×Q8—44no—
1159C2×Q8—44no—
1160C2×Q8—42no—
1161C2×Q8—44no—
1162C2×Q8—44no—
1163C2×Q8—44no—
1164C2×Q8—42no—
1165C2×Q8—416no—
1166C2×Q8—816no—
1167C2×Q8—88no—
1168C2×D4—24no—
1169C2×D4—24no—
1170C2×D4—24no—
1171C2×D4—24no—
1172C2×D4—24no—
1173C2×D4—24no—
1174C2×D4—24no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—24no—
1178C2×D4—24no—
1179C2×D4—24no—
1180C2×D4—24no—
1181C2×D4—24no—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4—41no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—41no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—432no—
1212C2×D4—416no—
1213C2×D4—432no—
1214C2×D4—416no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—22no—
1225C22×C4—28no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—41no—
1257C22×C4—432no—
1258C22×C4—42no—
1259C22×C4—44no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—44no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—42no—
1272C22×C4—416no—
1273C22×C4—88no—
1274C22×C4H(5,𝔽2)14yes—
1275C22×C4H(5,𝔽2)18yes—
1276C22×C42−1+418yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2514yes—
1280C22×C4C2514yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2514yes—
1288C22×C4C2514yes—
1289C22×C4C2514yes—
1290C22×C4C2514yes—
1291C22×C4C2514yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2514yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C4⋊C4—24no—
1302C4⋊C4—28no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—28no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—28no—
1312C4⋊C4—28no—
1313C4⋊C4—28no—
1314C4⋊C4—28no—
1315C4⋊C4—28no—
1316C4⋊C4—28no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—44no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C22⋊C4—28no—
1352C22⋊C4—28no—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—28no—
1356C22⋊C4—28no—
1357C22⋊C4—28no—
1358C22⋊C4—28no—
1359C22⋊C4—28no—
1360C22⋊C4—28no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C42—22no—
1414C42—22no—
1415C42—22no—
1416C42—22no—
1417C42—24no—
1418C42—24no—
1419C42—28no—
1420C42—24no—
1421C42—42no—
1422C42—42no—
1423C42—44no—
1424C42—44no—
1425C42—44no—
1426C42—44no—
1427C42—44no—
1428C42—44no—
1429C42—42no—
1430C42—44no—
1431C23—22no—
1432C23—21no—
1433C23—21no—
1434C23—22no—
1435C23—21no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—21no—
1443C23—22no—
1444C23—22no—
1445C23—21no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—21no—
1451C23—21no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—22no—
1465C23—21no—
1466C23—48no—
1467C23—44no—
1468C23—48no—
1469C23—48no—
1470C23—48no—
1471C23—44no—
1472C23—44no—
1473C23—44no—
1474C23—48no—
1475C23—44no—
1476C23—82no—
1477C23—84no—
1478C23—84no—
1479C23—84no—
1480C23—84no—
1481C23—84no—
1482C23—84no—
1483C23C2×H(5,𝔽2)14yes—
1484C23C2×H(5,𝔽2)12yes—
1485C23C2×2−1+414yes—
1486C23#58512yes—
1487C23C2611yescharacteristic
1488Q8—44no—
1489Q8—48no—
1490Q8—44no—
1491Q8—48no—
1492Q8—48no—
1493Q8—84no—
1494Q8—88no—
1495Q8—88no—
1496Q8—84no—
1497D4—216no—
1498D4—44no—
1499D4—48no—
1500D4—48no—
1501D4—48no—
1502D4—44no—
1503D4—48no—
1504D4—48no—
1505D4—44no—
1506D4—44no—
1507D4—48no—
1508D4—48no—
1509D4—44no—
1510D4—48no—
1511D4—44no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—28no—
1522C2×C4—216no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—24no—
1531C2×C4—24no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—24no—
1535C2×C4—24no—
1536C2×C4—24no—
1537C2×C4—24no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—24no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—24no—
1557C2×C4—24no—
1558C2×C4—24no—
1559C2×C4—24no—
1560C2×C4—24no—
1561C2×C4—24no—
1562C2×C4—24no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—21no—
1568C2×C4—24no—
1569C2×C4—24no—
1570C2×C4—21no—
1571C2×C4—48no—
1572C2×C4—48no—
1573C2×C4—48no—
1574C2×C4—48no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—44no—
1580C2×C4—48no—
1581C2×C4—44no—
1582C2×C4—44no—
1583C2×C4—44no—
1584C2×C4—44no—
1585C2×C4—82no—
1586C2×C4—82no—
1587C2×C4—84no—
1588C2×C4—84no—
1589C2×C4—82no—
1590C2×C4—88no—
1591C2×C4—88no—
1592C2×C4—84no—
1593C2×C4C2×H(5,𝔽2)14yes—
1594C2×C4C2×H(5,𝔽2)12yes—
1595C2×C4C2×H(5,𝔽2)12yes—
1596C2×C4C2×H(5,𝔽2)14yes—
1597C2×C4C2×2−1+414yes—
1598C2×C4C2×2−1+414yes—
1599C2×C4#58512yes—
1600C22—22no—
1601C22—24no—
1602C22—24no—
1603C22—22no—
1604C22—22no—
1605C22—24no—
1606C22—24no—
1607C22—24no—
1608C22—24no—
1609C22—42no—
1610C22—41no—
1611C22—42no—
1612C22—42no—
1613C22—42no—
1614C22—42no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—42no—
1620C22—41no—
1621C22—42no—
1622C22—41no—
1623C22—41no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—42no—
1628C22—42no—
1629C22—42no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—816no—
1639C22—88no—
1640C22—88no—
1641C22#355014yes—
1642C22C22×H(5,𝔽2)11yescharacteristic
1643C22C22×H(5,𝔽2)12yes—
1644C22C22×2−1+412yes—
1645C22C2×#58511yescharacteristic
1646C22C2×#58511yescharacteristic
1647C4—22no—
1648C4—24no—
1649C4—24no—
1650C4—22no—
1651C4—24no—
1652C4—41no—
1653C4—44no—
1654C4—44no—
1655C4—41no—
1656C4—41no—
1657C4—44no—
1658C4—44no—
1659C4—44no—
1660C4—44no—
1661C4—42no—
1662C4—42no—
1663C4—42no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—44no—
1669C4—44no—
1670C4#353214yes—
1671C2—24no—
1672C2—42no—
1673C2—44no—
1674C2—81no—
1675C2—81no—
1676C2—81no—
1677C2—82no—
1678C2C2×#353211yescharacteristic
1679C2#6272911yescharacteristic
1680C2C2×#355011yescharacteristic
1681C2#6281912yes—
1682C2#6283512yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#2388C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53045C2semidirect
2. #53007C2semidirect
3. #52958C2semidirect
4. #52411C2semidirect
5. #52396C2semidirect
6. #52326C2semidirect
7. #45330C2semidirect
8. #45325C2semidirect
9. #45321C2semidirect
10. #44217C2semidirect
11. #43553C2semidirect
12. #43175C2semidirect
13. #42920C2semidirect
14. #42911C2semidirect
15. #42786C2semidirect
16. #42446C2semidirect
17. #42122C2semidirect
18. #42043C2semidirect
19. #41174C2semidirect
20. #40974C2semidirect
21. #40560C2semidirect
22. #40542C2semidirect
23. #36204C2semidirect
24. #36161C2semidirect
25. #36130C2semidirect
26. D4×C22⋊Q8C2semidirect
27. #35305C2semidirect
28. #35240C2semidirect
29. #35084C2semidirect
30. #35014C2semidirect
33. C2×#556C22semidirect
34. C2×D4×Q8C22semidirect
35. C2×#536C22semidirect
36. C2×#536C22semidirect
50. #2841C22semidirect
51. #2838C22semidirect
52. #2837C22semidirect
53. #2837C22semidirect
54. #2835C22semidirect
55. #2832C22semidirect
56. #2832C22semidirect
57. #2831C22semidirect
58. #2829C22semidirect
59. #2829C22semidirect
60. #2827C22semidirect
61. #2823C22semidirect
62. #2821C22semidirect
63. #2814C22semidirect
64. #2811C22semidirect
65. #2806C22semidirect
66. #2803C22semidirect
67. #2801C22semidirect
68. #2800C22semidirect
69. #2797C22semidirect
70. #2795C22semidirect
71. #2792C22semidirect
72. #2792C22semidirect
73. #2779C22semidirect
74. #2764C22semidirect
75. #2757C22semidirect
76. #2752C22semidirect
77. #2745C22semidirect
78. #2734C22semidirect
79. #2731C22semidirect
80. #2730C22semidirect
81. #2730C22semidirect
82. #2729C22semidirect
83. #2728C22semidirect
84. #2718C22semidirect
85. #2718C22semidirect
86. #2716C22semidirect
87. #2712C22semidirect
88. #2712C22semidirect
89. #2712C22semidirect
90. #2710C22semidirect
91. #2710C22semidirect
92. #2710C22semidirect
93. #2705C22semidirect
94. #2705C22semidirect
95. #2702C22semidirect
96. #2695C22semidirect
97. #2680C22semidirect
98. #2677C22semidirect
99. #2674C22semidirect
100. #2663C22semidirect
101. #2662C22semidirect
102. #2662C22semidirect
103. #2653C22semidirect
104. #2651C22semidirect
106. #2638C22semidirect
107. #2638C22semidirect
108. #2633C22semidirect
109. #2633C22semidirect
110. #2632C22semidirect
111. #2630C22semidirect
112. #2630C22semidirect
114. #2616C22semidirect
115. #2616C22semidirect
116. #2616C22semidirect
117. #2616C22semidirect
118. #2602C22semidirect
119. #2600C22semidirect
120. #2589C22semidirect
121. #2589C22semidirect
122. #2587C22semidirect
123. #2587C22semidirect
124. #2586C22semidirect
125. #2586C22semidirect
127. #2573C22semidirect
128. #2567C22semidirect
131. #2557C22semidirect
132. #2556C22semidirect
133. #2551C22semidirect
135. #2547C22semidirect
136. #2547C22semidirect
137. #2547C22semidirect
138. #2542C22semidirect
139. #2542C22semidirect
140. #2542C22semidirect
141. #2538C22semidirect
142. #2538C22semidirect
143. #2536C22semidirect
144. #2536C22semidirect
145. #2527C22semidirect
146. #2523C22semidirect
147. #2521C22semidirect
149. #2499C22semidirect
150. #2497C22semidirect
151. #2497C22semidirect
152. #2496C22semidirect
153. #2494C22semidirect
155. #2492C22semidirect
156. #2492C22semidirect
157. #2492C22semidirect
158. #2492C22semidirect
159. #2486C22semidirect
160. #2486C22semidirect
161. #2485C22semidirect
162. #2485C22semidirect
169. #2473C22semidirect
170. #2466C22semidirect
171. #2466C22semidirect
172. #2465C22semidirect
173. #2461C22semidirect
174. #2461C22semidirect
175. #2459C22semidirect
176. #2458C22semidirect
177. #2455C22semidirect
178. #2452C22semidirect
179. #2451C22semidirect
180. #2449C22semidirect
181. #2449C22semidirect
182. #2447C22semidirect
184. #2440C22semidirect
185. #2439C22semidirect
194. #2434C22semidirect
195. #2432C22semidirect
196. #2432C22semidirect
197. #2429C22semidirect
198. #2429C22semidirect
199. #2429C22semidirect
200. #2429C22semidirect
201. #2423C22semidirect
202. #2423C22semidirect
203. #2423C22semidirect
204. #2421C22semidirect
205. #2417C22semidirect
206. #2417C22semidirect
207. #2415C22semidirect
208. #2415C22semidirect
209. #2415C22semidirect
210. #2415C22semidirect
211. #2409C22semidirect
212. #2409C22semidirect
213. #2409C22semidirect
214. #2409C22semidirect
215. #2406C22semidirect
216. #2406C22semidirect
238. #2373C22semidirect
240. #2367C22semidirect
241. #2362C22semidirect
243. #2360C22semidirect
244. #2360C22semidirect
245. #2354C22semidirect
246. D4×C4⋊C4C22semidirect
247. D4×C4⋊C4C22semidirect
248. #2347C22semidirect
250. Q8×C22⋊C4C22semidirect
253. #2326C22semidirect
254. #2326C22semidirect
255. #2322C22semidirect
256. #2322C22semidirect
258. #2311C22semidirect
259. #2311C22semidirect

Maximal subgroups

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

subgroupindex
#530452
#530072
#529582
#524112
#523962
#523262
#453302
#453252
#453212
#442172
#435532
#431752
#429202
#429112
#427862
#424462
#421222
#420432
#411742
#409742
#405602
#405422
#362042
#361612
#361302
D4×C22⋊Q82
#353052
#352402
#350842
#350142
C2×#23882