Finite Group Databasebeta

← #7711593

Subgroups — #7711593

Order 512.

5256 conjugacy classes of subgroups.

The subgroup lattice has 1631 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59663C212yesmaximal, complemented
2#59424C212yesmaximal, complemented
3#59012C214yesmaximal, complemented
4#45675C212yesmaximal, complemented
5#45654C212yesmaximal, complemented
6#45581C214yesmaximal, complemented
7#40399C214yesmaximal, complemented
8#40119C212yesmaximal, complemented
9#40047C212yesmaximal, complemented
10#39751C211yesmaximal, characteristic, complemented
11#39639C211yesmaximal, characteristic, complemented
12#39511C211yesmaximal, characteristic, complemented
13#39367C211yesmaximal, characteristic, complemented
14#38539C214yesmaximal, complemented
15#38484C212yesmaximal, complemented
16#38427C212yesmaximal, complemented
17#37881C212yesmaximal, complemented
18#37684C212yesmaximal, complemented
19#37460C212yesmaximal, complemented
20#37220C212yesmaximal, complemented
21#37157C212yesmaximal, complemented
22#36625C211yesmaximal, characteristic, complemented
23C2×#2854C211yesmaximal, characteristic
24#36190C212yesmaximal, complemented
25#36186C212yesmaximal, complemented
26#36140C212yesmaximal, complemented
27#36107C212yesmaximal
28#35247C212yesmaximal, complemented
29#35083C212yesmaximal, complemented
30#34433C212yesmaximal, complemented
31C2×C4×C22⋊Q8C211yesmaximal, characteristic, complemented
32C2×#552C2214yescomplemented
33C2×#543C2212yes—
34C2×#533C2211yescharacteristic, complemented
35C2×#529C2212yes—
36C22×#123C2212yes—
37C22×C22⋊Q8C2211yescharacteristic
38C22×#121C2211yescharacteristic
39C22×C4×Q8C2211yescharacteristic, complemented
40C23×C42C2211yescharacteristic
41#2857C2211yescharacteristic
42#2857C2211yescharacteristic
43#2857C2212yescomplemented
44#2857C2211yescharacteristic, complemented
45#2857C2211yescharacteristic, complemented
46#2855C2212yescomplemented
47#2855C2212yescomplemented
48#2855C2212yescomplemented
49#2854C2212yes—
50#2854C2212yes—
51#2854C2212yes—
52#2854C2212yes—
53#2854C2212yes—
54#2854C2212yes—
55#2854C2212yes—
56#2854C2212yes—
57#2854C2212yes—
58#2851C2212yes—
59#2851C2212yescomplemented
60#2850C2212yes—
61#2848C2212yes—
62#2848C2212yes—
63#2836C2214yescomplemented
64#2831C2214yescomplemented
65#2809C2212yescomplemented
66#2808C2212yescomplemented
67#2805C2212yescomplemented
68#2802C2214yescomplemented
69#2802C2214yescomplemented
70#2800C2214yescomplemented
71#2798C2214yescomplemented
72#2798C2214yescomplemented
73#2786C2214yescomplemented
74#2783C2214yescomplemented
75#2781C2214yescomplemented
76#2779C2214yescomplemented
77#2755C2214yescomplemented
78#2755C2214yescomplemented
79#2747C2214yescomplemented
80#2744C2214yescomplemented
81#2741C2214yescomplemented
82#2740C2214yescomplemented
83#2732C2214yescomplemented
84#2732C2212yescomplemented
85#2727C2212yescomplemented
86#2726C2212yescomplemented
87#2726C2212yescomplemented
88#2725C2214yescomplemented
89#2707C2214yescomplemented
90#2704C2214yescomplemented
91#2702C2214yescomplemented
92#2695C2214yescomplemented
93#2694C2214yescomplemented
94#2692C2214yescomplemented
95#2692C2214yescomplemented
96#2692C2214yescomplemented
97#2689C2214yescomplemented
98#2687C2214yescomplemented
99#2683C2212yescomplemented
100#2683C2214yescomplemented
101#2664C2214yescomplemented
102#2659C2212yes—
103#2654C2214yescomplemented
104#2650C2214yescomplemented
105#2650C2214yescomplemented
106#2646C2212yes—
107#2637C2214yescomplemented
108#2637C2214yescomplemented
109#2626C2212yes—
110#2626C2212yes—
111#2601C2214yescomplemented
112#2592C2212yescomplemented
113#2592C2212yescomplemented
114#2588C2214yescomplemented
115#2584C2214yescomplemented
116#2584C2212yescomplemented
117#2584C2212yescomplemented
118#2582C2212yescomplemented
119#2582C2212yescomplemented
120#2574C2214yescomplemented
121#2569C2214yescomplemented
122#2560C2214yescomplemented
123#2559C2214yes—
124#2558C2214yescomplemented
125#2553C2214yescomplemented
126#2552C2212yescomplemented
127#2550C2212yescomplemented
128#2549C2214yes—
129#2545C2212yescomplemented
130#2542C2212yescomplemented
131#2538C2212yescomplemented
132#2538C2212yescomplemented
133#2522C2214yescomplemented
134#2519C2214yescomplemented
135#2519C2214yescomplemented
136#2519C2214yescomplemented
137#2512C2212yescomplemented
138#2512C2212yescomplemented
139#2512C2212yescomplemented
140#2511C2212yescomplemented
141#2509C2212yescomplemented
142#2508C2212yescomplemented
143#2506C2212yescomplemented
144#2506C2212yescomplemented
145#2505C2214yes—
146#2505C2214yes—
147#2502C2212yes—
148#2498C2214yescomplemented
149#2498C2214yescomplemented
150#2497C2212yescomplemented
151#2497C2212yescomplemented
152#2492C2212yescomplemented
153#2490C2212yes—
154#2489C2214yescomplemented
155#2488C2214yescomplemented
156#2488C2214yescomplemented
157#2486C2214yescomplemented
158#2481C2214yescomplemented
159#2480C2214yes—
160#2480C2214yes—
161#2480C2214yes—
162#2480C2214yes—
163#2476C2214yes—
164#2475C2214yescomplemented
165#2473C2214yes—
166#2473C2214yes—
167#2470C2214yescomplemented
168#2469C2214yescomplemented
169#2458C2214yescomplemented
170#2453C2212yescomplemented
171#2452C2212yescomplemented
172#2452C2212yescomplemented
173#2451C2212yescomplemented
174#2449C2214yescomplemented
175#2449C2214yescomplemented
176#2448C2212yescomplemented
177#2448C2212yescomplemented
178#2447C2212yescomplemented
179#2446C2212yescomplemented
180#2444C2214yes—
181#2442C2212yes—
182#2442C2214yes—
183#2440C2212yes—
184#2438C2214yescomplemented
185#2437C2214yes—
186#2437C2214yes—
187#2437C2214yes—
188#2435C2212yes—
189#2427C2212yes—
190#2426C2212yes—
191#2425C2214yes—
192#2423C2212yescomplemented
193#2420C2212yes—
194#2419C2214yescomplemented
195#2417C2214yescomplemented
196#2413C2214yescomplemented
197#2413C2214yescomplemented
198#2413C2214yescomplemented
199#2409C2214yescomplemented
200#2405C2214yes—
201#2378C2214yescomplemented
202#2378C2214yescomplemented
203#2368C2214yes—
204#2367C2212yescomplemented
205#2365C2212yescomplemented
206#2362C2214yescomplemented
207#2362C2214yescomplemented
208#2360C2212yes—
209#2360C2212yes—
210#2360C2214yes—
211#2359C2214yescomplemented
212#2354C2212yescomplemented
213#2351C2212yescomplemented
214#2345C2212yes—
215#2342C2214yes—
216#2342C2214yes—
217#2342C2214yes—
218D4×C22⋊C4C2212yes—
219D4×C22⋊C4C2214yes—
220#2334C2214yescomplemented
221#2332C2214yescomplemented
222#2332C2214yescomplemented
223#2329C2212yes—
224#2329C2212yes—
225#2323C2214yescomplemented
226#2323C2214yescomplemented
227#2323C2214yescomplemented
228#2312C2212yes—
229C4×C22⋊Q8C2212yes—
230C4×C22⋊Q8C2212yes—
231C4×C22⋊Q8C2212yes—
232C4×C22⋊Q8C2211yescharacteristic
233C4×C22⋊Q8C2211yescharacteristic
234C4×C22⋊Q8C2211yescharacteristic
235C4×C22⋊Q8C2212yes—
236C4×C22⋊Q8C2211yescharacteristic
237C4×C22⋊Q8C2212yescomplemented
238C4×C22⋊Q8C2212yescomplemented
239C4×C22⋊Q8C2212yescomplemented
240C4×C22⋊Q8C2211yescharacteristic, complemented
241C4×C22⋊Q8C2212yescomplemented
242C4×C22⋊Q8C2211yescharacteristic, complemented
243C4×C22⋊Q8C2211yescharacteristic, complemented
244C4×C22⋊Q8C2211yescharacteristic, complemented
245C4×C22⋊Q8C2212yescomplemented
246C4×#121C2212yes—
247#2296C2212yescomplemented
248C2×#391C2211yescharacteristic, complemented
249C2×#390C2211yescharacteristic
250C2×#390C2211yescharacteristic
251C2×#389C2211yescharacteristic
252C2×#389C2211yescharacteristic
253C2×#389C2211yescharacteristic, complemented
254C2×#388C2212yes—
255C2×#388C2212yes—
256C2×#387C2212yescomplemented
257C2×#386C2212yes—
258C2×#385C2212yes—
259#2285C2211yescharacteristic, complemented
260#2285C2212yescomplemented
261#2280C2212yes—
262C2×#380C2211yescharacteristic
263C2×#380C2211yescharacteristic
264C2×C4×C4⋊C4C2211yescharacteristic, complemented
265C2×C4×C4⋊C4C2212yescomplemented
266C2×C4×C22⋊C4C2212yes—
267C23×Q8C2311yescharacteristic
268C23×D4C2312yes—
269C23×D4C2311yescharacteristic
270C24×C4C2311yescharacteristic
271C24×C4C2311yescharacteristic
272C24×C4C2311yescharacteristic
273#552—416no—
274#543—216no—
275#533—44no—
276C2×C4⋊Q8C2311yescharacteristic
277C2×C4⋊Q8C2311yescharacteristic
278C2×C4⋊Q8C2312yes—
279#529—48no—
280C2×#126C2314yes—
281C2×#126C2314yes—
282C2×#126C2314yes—
283C2×#126C2314yes—
284C2×#125C2312yes—
285C2×#125C2314yes—
286C2×#125C2312yes—
287C2×#125C2314yes—
288C2×#125C2314yes—
289C2×#124C2312yes—
290C2×#124C2312yes—
291C2×#123—48no—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×C22⋊Q8—28no—
299C2×C22⋊Q8C2314yes—
300C2×C22⋊Q8C2314yes—
301C2×C22⋊Q8C2312yes—
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2312yes—
304C2×C22⋊Q8C2314yes—
305C2×C22⋊Q8C2314yes—
306C2×C22⋊Q8C2314yes—
307C2×C22⋊Q8C2311yescharacteristic
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2311yescharacteristic
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2311yescharacteristic
312C2×C22⋊Q8C2314yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2314yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2311yescharacteristic
319C2×#121—44no—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×C4×Q8—44no—
325C2×C4×Q8C2311yescharacteristic
326C2×C4×Q8C2312yes—
327C2×C4×Q8C2314yes—
328C2×C4×Q8C2312yes—
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×D4C2312yes—
337C2×C4×D4C2314yes—
338C2×C4×D4C2312yes—
339C2×C4×D4C2314yes—
340C2×#117C2312yes—
341C2×#117C2314yes—
342C2×#117C2314yes—
343C2×#117C2314yes—
344C2×#117C2312yes—
345C22×C4⋊C4C2311yescharacteristic
346C22×C4⋊C4C2312yes—
347C22×C4⋊C4C2311yescharacteristic
348C22×C4⋊C4C2312yes—
349C22×C4⋊C4C2311yescharacteristic
350C22×C4⋊C4C2312yes—
351C22×C4⋊C4C2311yescharacteristic
352C22×C4⋊C4C2311yescharacteristic
353C22×C4⋊C4C2312yes—
354C22×C4⋊C4C2312yes—
355C22×C4⋊C4C2311yescharacteristic
356C22×C22⋊C4C2312yes—
357C22×C22⋊C4C2314yes—
358C22×C22⋊C4C2312yes—
359C22×C22⋊C4C2312yes—
360C22×C22⋊C4C2312yes—
361C22×C22⋊C4C2312yes—
362C22×C22⋊C4C2312yes—
363C22×C22⋊C4C2312yes—
364C22×C22⋊C4C2312yes—
365C22×C42—44no—
366C22×C42C2311yescharacteristic
367C22×C42C2311yescharacteristic
368C22×C42C2312yes—
369C22×C42C2312yes—
370C22×C42C2311yescharacteristic
371C22×C42C2311yescharacteristic
372C22×C42C2311yescharacteristic
373C22×C42C2311yescharacteristic
374C22×C42C2311yescharacteristic
375C22×C42C2311yescharacteristic
376C22×C42C2311yescharacteristic
377C22×C42C2311yescharacteristic
378C22×C42C2311yescharacteristic
379C22×C42C2311yescharacteristic
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#399C2314yes—
394#399C2314yes—
395#399C2314yes—
396#399C2314yes—
397#399C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#395C2314yes—
445#395C2314yes—
446#395C2314yes—
447#395C2314yes—
448#395C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#393C2314yes—
456#393C2314yes—
457#393C2314yes—
458#393C2314yes—
459#393C2314yes—
460#391C2312yes—
461#391C2314yes—
462#391C2312yes—
463#391C2314yes—
464#391C2314yes—
465#391C2314yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2314yes—
471#391C2311yescharacteristic
472#391C2314yes—
473#391C2312yes—
474#391C2312yes—
475#391C2314yes—
476#391C2311yescharacteristic
477#391C2312yes—
478#391C2312yes—
479#391C2311yescharacteristic
480#391C2311yescharacteristic
481#390C2312yes—
482#390C2312yes—
483#390C2312yes—
484#390C2312yes—
485#390C2312yes—
486#390C2312yes—
487#390C2314yes—
488#390C2314yes—
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2312yes—
495#389C2311yescharacteristic
496#389C2314yes—
497#389C2314yes—
498#389C2314yes—
499#389C2314yes—
500#389C2314yes—
501#389C2314yes—
502#389C2314yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2314yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2314yes—
516#389C2314yes—
517#389C2314yes—
518#389C2314yes—
519#389C2314yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2314yes—
534#389C2311yescharacteristic
535#389C2312yes—
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2312yes—
539#389C2311yescharacteristic
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
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#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2312yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2312yes—
603#387C2314yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2312yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2312yes—
642#385C2312yes—
643#385C2312yes—
644#385C2312yes—
645#385C2312yes—
646#385C2312yes—
647#385C2312yes—
648#384C2312yes—
649#384C2312yes—
650#384C2311yescharacteristic
651#384C2311yescharacteristic
652#384C2312yes—
653#382C2314yes—
654#382C2314yes—
655#382C2312yes—
656#382C2312yes—
657#382C2314yes—
658#381C2314yes—
659#381C2314yes—
660#381C2314yes—
661#381C2314yes—
662#380C2311yescharacteristic
663#380C2312yes—
664#380C2312yes—
665#380C2314yes—
666#380C2314yes—
667#380C2312yes—
668#380C2314yes—
669#380C2314yes—
670#380C2314yes—
671#380C2312yes—
672#380C2312yes—
673#380C2312yes—
674#380C2312yes—
675#380C2312yes—
676#380C2314yes—
677#380C2312yes—
678#380C2312yes—
679#380C2312yes—
680#380C2312yes—
681#380C2312yes—
682#380C2312yes—
683#380C2314yes—
684#380C2314yes—
685#380C2311yescharacteristic
686#380C2312yes—
687#380C2312yes—
688#380C2311yescharacteristic
689#380C2311yescharacteristic
690#379C2314yes—
691#379C2314yes—
692#379C2314yes—
693#379C2314yes—
694C4×C4⋊C4C2314yes—
695C4×C4⋊C4C2314yes—
696C4×C4⋊C4C2314yes—
697C4×C4⋊C4C2314yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2311yescharacteristic
701C4×C4⋊C4C2314yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2311yescharacteristic
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2311yescharacteristic
714C4×C4⋊C4C2311yescharacteristic
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C22⋊C4C2314yes—
720C4×C22⋊C4C2314yes—
721C4×C22⋊C4C2314yes—
722C4×C22⋊C4C2312yes—
723C4×C22⋊C4C2314yes—
724C4×C22⋊C4C2314yes—
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2312yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2312yes—
730C4×C22⋊C4C2312yes—
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2314yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2312yes—
735C2×#95C2312yes—
736C2×#95C2312yes—
737C2×#95C2312yes—
738C2×#95C2312yes—
739C2×#95C2312yes—
740C2×#95C2312yes—
741C2×#95C2312yes—
742C2×#95C2312yes—
743C25C2411yescharacteristic
744C25C2412yes—
745C22×Q8—24no—
746C22×Q8—42no—
747C22×Q8—42no—
748C22×Q8C2412yes—
749C22×Q8C2412yes—
750C22×Q8C2411yescharacteristic
751C22×Q8C2414yes—
752C22×Q8C2412yes—
753C22×Q8C2411yescharacteristic
754C22×D4—28no—
755C22×D4—24no—
756C22×D4—42no—
757C22×D4—42no—
758C22×D4—44no—
759C22×D4—44no—
760C22×D4C2414yes—
761C22×D4C2412yes—
762C22×D4C2414yes—
763C22×D4C2412yes—
764C23×C4—24no—
765C23×C4—24no—
766C23×C4—24no—
767C23×C4—24no—
768C23×C4—24no—
769C23×C4—42no—
770C23×C4—42no—
771C23×C4—42no—
772C23×C4—42no—
773C23×C4C2412yes—
774C23×C4C2411yescharacteristic
775C23×C4C2411yescharacteristic
776C23×C4C2411yescharacteristic
777C23×C4C2411yescharacteristic
778C23×C4C2411yescharacteristic
779C23×C4C2411yescharacteristic
780C23×C4C2411yescharacteristic
781C23×C4C2412yes—
782C23×C4C2412yes—
783C23×C4C2411yescharacteristic
784C23×C4C2411yescharacteristic
785C23×C4C2411yescharacteristic
786C23×C4C2411yescharacteristic
787C23×C4C2411yescharacteristic
788C23×C4C2411yescharacteristic
789C23×C4C2411yescharacteristic
790C23×C4C2411yescharacteristic
791C23×C4C2411yescharacteristic
792C23×C4C2412yes—
793C23×C4C2412yes—
794C23×C4C2412yes—
795C23×C4C2412yes—
796C23×C4C2414yes—
797C23×C4C2414yes—
798C23×C4C2411yescharacteristic
799C23×C4C2411yescharacteristic
800C4⋊Q8—44no—
801C4⋊Q8—42no—
802C4⋊Q8—42no—
803#126—48no—
804#126—48no—
805#126—48no—
806#126—48no—
807#125—44no—
808#125—44no—
809#125—48no—
810#125—48no—
811#125—48no—
812#124—44no—
813#124—44no—
814#123—216no—
815#123—48no—
816#123—48no—
817#123—48no—
818#123—48no—
819#123—48no—
820C22⋊Q8—24no—
821C22⋊Q8—216no—
822C22⋊Q8—24no—
823C22⋊Q8—28no—
824C22⋊Q8—28no—
825C22⋊Q8—28no—
826C22⋊Q8—28no—
827C22⋊Q8—24no—
828C22⋊Q8—216no—
829C22⋊Q8—216no—
830C22⋊Q8—216no—
831C22⋊Q8—28no—
832C22⋊Q8—216no—
833C22⋊Q8—44no—
834C22⋊Q8—48no—
835C22⋊Q8—48no—
836C22⋊Q8—48no—
837C22⋊Q8—44no—
838C22⋊Q8—44no—
839C22⋊Q8#4118yes—
840#121—28no—
841#121—44no—
842#121—44no—
843#121—44no—
844C4×Q8—42no—
845C4×Q8—44no—
846C4×Q8—42no—
847C4×Q8—44no—
848C4×Q8—42no—
849C4×Q8—42no—
850C4×Q8—44no—
851C4×Q8—48no—
852C4×Q8—44no—
853C4×Q8—44no—
854C4×Q8—44no—
855C4×D4—44no—
856C4×D4—44no—
857C4×D4—48no—
858C4×D4—48no—
859#117—28no—
860#117—48no—
861#117—48no—
862#117—44no—
863#117—48no—
864C2×C4⋊C4—28no—
865C2×C4⋊C4—24no—
866C2×C4⋊C4—24no—
867C2×C4⋊C4—28no—
868C2×C4⋊C4—42no—
869C2×C4⋊C4—42no—
870C2×C4⋊C4—42no—
871C2×C4⋊C4—44no—
872C2×C4⋊C4—44no—
873C2×C4⋊C4—42no—
874C2×C4⋊C4—44no—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C22⋊C4—28no—
942C2×C22⋊C4—28no—
943C2×C22⋊C4—28no—
944C2×C22⋊C4—216no—
945C2×C22⋊C4—44no—
946C2×C22⋊C4—44no—
947C2×C22⋊C4—44no—
948C2×C22⋊C4—44no—
949C2×C22⋊C4—44no—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C42—28no—
991C2×C42—24no—
992C2×C42—24no—
993C2×C42—42no—
994C2×C42—42no—
995C2×C42—42no—
996C2×C42—42no—
997C2×C42—42no—
998C2×C42—42no—
999C2×C42—42no—
1000C2×C42—42no—
1001C2×C42—44no—
1002C2×C42—42no—
1003C2×C42—42no—
1004C2×C42C2412yes—
1005C2×C42C2414yes—
1006C2×C42C2412yes—
1007C2×C42C2412yes—
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2411yescharacteristic
1011C2×C42C2411yescharacteristic
1012C2×C42C2411yescharacteristic
1013C2×C42C2411yescharacteristic
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2412yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2414yes—
1020C2×C42C2414yes—
1021C2×C42C2414yes—
1022C2×C42C2414yes—
1023C2×C42C2414yes—
1024C2×C42C2414yes—
1025C2×C42C2414yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036#95C2412yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2414yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
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#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094C24—22no—
1095C24—22no—
1096C24—22no—
1097C24—22no—
1098C24—24no—
1099C24—24no—
1100C24—24no—
1101C24—41no—
1102C24—41no—
1103C24—42no—
1104C24—42no—
1105C24—42no—
1106C24—42no—
1107C242−1+414yes—
1108C24C2514yes—
1109C24C2511yescharacteristic
1110C24C2511yescharacteristic
1111C24C2511yescharacteristic
1112C2×Q8—24no—
1113C2×Q8—22no—
1114C2×Q8—24no—
1115C2×Q8—28no—
1116C2×Q8—24no—
1117C2×Q8—24no—
1118C2×Q8—24no—
1119C2×Q8—24no—
1120C2×Q8—41no—
1121C2×Q8—42no—
1122C2×Q8—41no—
1123C2×Q8—41no—
1124C2×Q8—41no—
1125C2×Q8—44no—
1126C2×Q8—42no—
1127C2×Q8—42no—
1128C2×Q8—44no—
1129C2×Q8—416no—
1130C2×Q8C2×#4114yes—
1131C2×D4—28no—
1132C2×D4—28no—
1133C2×D4—28no—
1134C2×D4—28no—
1135C2×D4—24no—
1136C2×D4—24no—
1137C2×D4—24no—
1138C2×D4—24no—
1139C2×D4—42no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—42no—
1143C2×D4—88no—
1144C2×D4—816no—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—22no—
1148C22×C4—22no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—22no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—24no—
1158C22×C4—24no—
1159C22×C4—22no—
1160C22×C4—24no—
1161C22×C4—24no—
1162C22×C4—22no—
1163C22×C4—24no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—24no—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—24no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—28no—
1193C22×C4—28no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—42no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—42no—
1210C22×C4—416no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—416no—
1224C22×C4—416no—
1225C22×C4C2×#4114yes—
1226C22×C4H(5,𝔽2)14yes—
1227C22×C4H(5,𝔽2)14yes—
1228C22×C42−1+414yes—
1229C22×C4C2512yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2512yes—
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2514yes—
1236C22×C4C2514yes—
1237C22×C4C2512yes—
1238C22×C4C2514yes—
1239C22×C4C2514yes—
1240C22×C4C2514yes—
1241C22×C4C2514yes—
1242C22×C4C2514yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2511yescharacteristic
1247C22×C4C2511yescharacteristic
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2511yescharacteristic
1251C22×C4C2511yescharacteristic
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C22×C4C2511yescharacteristic
1255C22×C4C2511yescharacteristic
1256C4⋊C4—24no—
1257C4⋊C4—22no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—28no—
1262C4⋊C4—24no—
1263C4⋊C4—28no—
1264C4⋊C4—28no—
1265C4⋊C4—28no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—28no—
1272C4⋊C4—28no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—28no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—28no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—28no—
1285C4⋊C4—42no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—41no—
1291C4⋊C4—42no—
1292C4⋊C4—41no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—42no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4C2×#4114yes—
1321C4⋊C4C2×#4118yes—
1322C22⋊C4—24no—
1323C22⋊C4—28no—
1324C22⋊C4—28no—
1325C22⋊C4—28no—
1326C22⋊C4—28no—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—28no—
1332C22⋊C4—24no—
1333C22⋊C4—28no—
1334C22⋊C4—28no—
1335C22⋊C4—28no—
1336C22⋊C4—28no—
1337C22⋊C4—24no—
1338C22⋊C4—28no—
1339C22⋊C4—28no—
1340C22⋊C4—28no—
1341C22⋊C4—28no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4C2×#4118yes—
1362C42—22no—
1363C42—22no—
1364C42—22no—
1365C42—22no—
1366C42—22no—
1367C42—22no—
1368C42—22no—
1369C42—22no—
1370C42—24no—
1371C42—24no—
1372C42—24no—
1373C42—24no—
1374C42—28no—
1375C42—24no—
1376C42—24no—
1377C42—41no—
1378C42—41no—
1379C42—41no—
1380C42—41no—
1381C42—41no—
1382C42—41no—
1383C42—41no—
1384C42—41no—
1385C42—42no—
1386C42—42no—
1387C42—44no—
1388C42—44no—
1389C42—44no—
1390C42—44no—
1391C42—44no—
1392C42—44no—
1393C42—44no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—28no—
1409C23—28no—
1410C23—24no—
1411C23—24no—
1412C23—24no—
1413C23—24no—
1414C23—24no—
1415C23—24no—
1416C23—24no—
1417C23—44no—
1418C23—44no—
1419C23—44no—
1420C23—44no—
1421C23—44no—
1422C23—48no—
1423C23—84no—
1424C23—84no—
1425C23—84no—
1426C23—84no—
1427C23—84no—
1428C23—84no—
1429C23C22×#4112yes—
1430C23C2×H(5,𝔽2)12yes—
1431C23C2×H(5,𝔽2)12yes—
1432C23C2×2−1+412yes—
1433C23C2×2−1+412yes—
1434C23C2×2−1+412yes—
1435C23C2×2−1+412yes—
1436C23C2611yescharacteristic
1437Q8—44no—
1438Q8—48no—
1439Q8—44no—
1440Q8—48no—
1441Q8—84no—
1442Q8—88no—
1443D4—416no—
1444D4—48no—
1445D4—84no—
1446D4—88no—
1447C2×C4—28no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—28no—
1467C2×C4—28no—
1468C2×C4—28no—
1469C2×C4—22no—
1470C2×C4—24no—
1471C2×C4—24no—
1472C2×C4—24no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—24no—
1482C2×C4—24no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—24no—
1487C2×C4—24no—
1488C2×C4—24no—
1489C2×C4—24no—
1490C2×C4—24no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—24no—
1501C2×C4—24no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—24no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—24no—
1512C2×C4—24no—
1513C2×C4—24no—
1514C2×C4—21no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—44no—
1521C2×C4—44no—
1522C2×C4—44no—
1523C2×C4—48no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—44no—
1528C2×C4—44no—
1529C2×C4—44no—
1530C2×C4—44no—
1531C2×C4—44no—
1532C2×C4—48no—
1533C2×C4—44no—
1534C2×C4—48no—
1535C2×C4—44no—
1536C2×C4—44no—
1537C2×C4—88no—
1538C2×C4—88no—
1539C2×C4—84no—
1540C2×C4—84no—
1541C2×C4—84no—
1542C2×C4—84no—
1543C2×C4C22×#4112yes—
1544C2×C4C22×#4112yes—
1545C2×C4C22×#4114yes—
1546C2×C4C22×#4114yes—
1547C2×C4C2×H(5,𝔽2)12yes—
1548C2×C4C2×H(5,𝔽2)12yes—
1549C2×C4C2×H(5,𝔽2)12yes—
1550C2×C4C2×H(5,𝔽2)12yes—
1551C2×C4C2×2−1+412yes—
1552C2×C4C2×2−1+412yes—
1553C2×C4#58512yes—
1554C2×C4#58512yes—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—22no—
1561C22—22no—
1562C22—22no—
1563C22—22no—
1564C22—22no—
1565C22—22no—
1566C22—22no—
1567C22—22no—
1568C22—22no—
1569C22—22no—
1570C22—416no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—44no—
1576C22—44no—
1577C22—44no—
1578C22—44no—
1579C22—44no—
1580C22—44no—
1581C22—44no—
1582C22—168no—
1583C22#352314yes—
1584C22#353614yes—
1585C22C23×#4111yescharacteristic
1586C22C22×H(5,𝔽2)11yescharacteristic
1587C22C22×H(5,𝔽2)11yescharacteristic
1588C22C22×2−1+411yescharacteristic
1589C22C22×2−1+411yescharacteristic
1590C22C2×#58511yescharacteristic
1591C22C2×#58511yescharacteristic
1592C4—22no—
1593C4—22no—
1594C4—22no—
1595C4—22no—
1596C4—22no—
1597C4—22no—
1598C4—22no—
1599C4—24no—
1600C4—24no—
1601C4—41no—
1602C4—44no—
1603C4—42no—
1604C4—42no—
1605C4—41no—
1606C4—41no—
1607C4—44no—
1608C4—41no—
1609C4—42no—
1610C4—44no—
1611C4—42no—
1612C4—44no—
1613C4—44no—
1614C4—42no—
1615C4—42no—
1616C4—44no—
1617C4—44no—
1618C4#353514yes—
1619C2—24no—
1620C2—24no—
1621C2—42no—
1622C2—84no—
1623C2C2×#353511yescharacteristic
1624C2C2×#353611yescharacteristic
1625C2#6277311yescharacteristic
1626C2C2×#352311yescharacteristic
1627C2#6280011yescharacteristic
1628C2#6282311yescharacteristic
1629C2#6283511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×#121C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59663C2semidirect
2. #59424C2semidirect
3. #59012C2semidirect
4. #45675C2semidirect
5. #45654C2semidirect
6. #45581C2semidirect
7. #40399C2semidirect
8. #40119C2semidirect
9. #40047C2semidirect
10. #39751C2semidirect
11. #39639C2semidirect
12. #39511C2semidirect
13. #39367C2semidirect
14. #38539C2semidirect
15. #38484C2semidirect
16. #38427C2semidirect
17. #37881C2semidirect
18. #37684C2semidirect
19. #37460C2semidirect
20. #37220C2semidirect
21. #37157C2semidirect
22. #36625C2semidirect
24. #36190C2semidirect
25. #36186C2semidirect
26. #36140C2semidirect
28. #35247C2semidirect
29. #35083C2semidirect
30. #34433C2semidirect
31. C2×C4×C22⋊Q8C2semidirect
32. C2×#552C22semidirect
34. C2×#533C22semidirect
39. C22×C4×Q8C22semidirect
43. #2857C22semidirect
44. #2857C22semidirect
45. #2857C22semidirect
46. #2855C22semidirect
47. #2855C22semidirect
48. #2855C22semidirect
59. #2851C22semidirect
63. #2836C22semidirect
64. #2831C22semidirect
65. #2809C22semidirect
66. #2808C22semidirect
67. #2805C22semidirect
68. #2802C22semidirect
69. #2802C22semidirect
70. #2800C22semidirect
71. #2798C22semidirect
72. #2798C22semidirect
73. #2786C22semidirect
74. #2783C22semidirect
75. #2781C22semidirect
76. #2779C22semidirect
77. #2755C22semidirect
78. #2755C22semidirect
79. #2747C22semidirect
80. #2744C22semidirect
81. #2741C22semidirect
82. #2740C22semidirect
83. #2732C22semidirect
84. #2732C22semidirect
85. #2727C22semidirect
86. #2726C22semidirect
87. #2726C22semidirect
88. #2725C22semidirect
89. #2707C22semidirect
90. #2704C22semidirect
91. #2702C22semidirect
92. #2695C22semidirect
93. #2694C22semidirect
94. #2692C22semidirect
95. #2692C22semidirect
96. #2692C22semidirect
97. #2689C22semidirect
98. #2687C22semidirect
99. #2683C22semidirect
100. #2683C22semidirect
101. #2664C22semidirect
103. #2654C22semidirect
104. #2650C22semidirect
105. #2650C22semidirect
107. #2637C22semidirect
108. #2637C22semidirect
111. #2601C22semidirect
112. #2592C22semidirect
113. #2592C22semidirect
114. #2588C22semidirect
115. #2584C22semidirect
116. #2584C22semidirect
117. #2584C22semidirect
118. #2582C22semidirect
119. #2582C22semidirect
120. #2574C22semidirect
121. #2569C22semidirect
122. #2560C22semidirect
124. #2558C22semidirect
125. #2553C22semidirect
126. #2552C22semidirect
127. #2550C22semidirect
129. #2545C22semidirect
130. #2542C22semidirect
131. #2538C22semidirect
132. #2538C22semidirect
133. #2522C22semidirect
134. #2519C22semidirect
135. #2519C22semidirect
136. #2519C22semidirect
137. #2512C22semidirect
138. #2512C22semidirect
139. #2512C22semidirect
140. #2511C22semidirect
141. #2509C22semidirect
142. #2508C22semidirect
143. #2506C22semidirect
144. #2506C22semidirect
148. #2498C22semidirect
149. #2498C22semidirect
150. #2497C22semidirect
151. #2497C22semidirect
152. #2492C22semidirect
154. #2489C22semidirect
155. #2488C22semidirect
156. #2488C22semidirect
157. #2486C22semidirect
158. #2481C22semidirect
164. #2475C22semidirect
167. #2470C22semidirect
168. #2469C22semidirect
169. #2458C22semidirect
170. #2453C22semidirect
171. #2452C22semidirect
172. #2452C22semidirect
173. #2451C22semidirect
174. #2449C22semidirect
175. #2449C22semidirect
176. #2448C22semidirect
177. #2448C22semidirect
178. #2447C22semidirect
179. #2446C22semidirect
184. #2438C22semidirect
192. #2423C22semidirect
194. #2419C22semidirect
195. #2417C22semidirect
196. #2413C22semidirect
197. #2413C22semidirect
198. #2413C22semidirect
199. #2409C22semidirect
201. #2378C22semidirect
202. #2378C22semidirect
204. #2367C22semidirect
205. #2365C22semidirect
206. #2362C22semidirect
207. #2362C22semidirect
211. #2359C22semidirect
212. #2354C22semidirect
213. #2351C22semidirect
220. #2334C22semidirect
221. #2332C22semidirect
222. #2332C22semidirect
225. #2323C22semidirect
226. #2323C22semidirect
227. #2323C22semidirect
237. C4×C22⋊Q8C22semidirect
238. C4×C22⋊Q8C22semidirect
239. C4×C22⋊Q8C22semidirect
240. C4×C22⋊Q8C22semidirect
241. C4×C22⋊Q8C22semidirect
242. C4×C22⋊Q8C22semidirect
243. C4×C22⋊Q8C22semidirect
244. C4×C22⋊Q8C22semidirect
245. C4×C22⋊Q8C22semidirect
247. #2296C22semidirect
248. C2×#391C22semidirect
253. C2×#389C22semidirect
256. C2×#387C22semidirect
259. #2285C22semidirect
260. #2285C22semidirect
264. C2×C4×C4⋊C4C22semidirect
265. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#596632
#594242
#590122
#456752
#456542
#455812
#403992
#401192
#400472
#397512
#396392
#395112
#393672
#385392
#384842
#384272
#378812
#376842
#374602
#372202
#371572
#366252
C2×#28542
#361902
#361862
#361402
#361072
#352472
#350832
#344332
C2×C4×C22⋊Q82