Finite Group Databasebeta

← #7732009

Subgroups — #7732009

Order 512.

5648 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#47896C214yesmaximal, complemented
2#47893C214yesmaximal, complemented
3#47001C214yesmaximal, complemented
4#46395C214yesmaximal, complemented
5#43076C214yesmaximal, complemented
6#43047C214yesmaximal, complemented
7#39044C212yesmaximal, complemented
8#39041C212yesmaximal, complemented
9#38057C212yesmaximal, complemented
10#38054C212yesmaximal, complemented
11#37956C212yesmaximal, complemented
12#37932C212yesmaximal, complemented
13#37880C212yesmaximal, complemented
14#37872C212yesmaximal, complemented
15#37750C212yesmaximal, complemented
16#37749C212yesmaximal, complemented
17#37477C211yesmaximal, characteristic, complemented
18#37406C212yesmaximal, complemented
19#37338C212yesmaximal, complemented
20#36130C212yesmaximal, complemented
21#36107C212yesmaximal, complemented
22#35654C212yesmaximal, complemented
23#35526C212yesmaximal, complemented
24#35305C211yesmaximal, characteristic, complemented
25#35010C211yesmaximal, characteristic, complemented
26C2×#2407C211yesmaximal, characteristic
27#34380C211yesmaximal, characteristic, complemented
28#34175C211yesmaximal, characteristic, complemented
29#34057C211yesmaximal, characteristic, complemented
30C23×#41C2211yescharacteristic
31C2×#536C2211yescharacteristic, complemented
32C2×#536C2211yescharacteristic, complemented
33C2×#533C2212yescomplemented
34C2×#529C2212yescomplemented
35C22×C22⋊Q8C2211yescharacteristic
36C22×C22⋊Q8C2211yescharacteristic
37C22×#121C2211yescharacteristic
38C2×#520C2211yescharacteristic, complemented
39C2×#520C2211yescharacteristic, complemented
40C22×C4×D4C2211yescharacteristic
41#2857C2212yescomplemented
42#2855C2212yes—
43#2855C2212yescomplemented
44#2854C2212yescomplemented
45#2850C2212yescomplemented
46#2848C2212yes—
47#2848C2212yes—
48#2848C2212yes—
49#2841C2214yescomplemented
50#2788C2214yescomplemented
51#2787C2214yescomplemented
52#2787C2214yescomplemented
53#2784C2214yescomplemented
54#2780C2214yescomplemented
55#2779C2214yescomplemented
56#2779C2214yescomplemented
57#2778C2214yescomplemented
58#2778C2214yescomplemented
59#2770C2214yescomplemented
60#2762C2214yescomplemented
61#2762C2214yescomplemented
62#2761C2214yescomplemented
63#2761C2214yescomplemented
64#2760C2214yescomplemented
65#2758C2214yescomplemented
66#2757C2214yescomplemented
67#2755C2214yescomplemented
68#2750C2214yescomplemented
69#2749C2214yescomplemented
70#2749C2214yescomplemented
71#2748C2214yescomplemented
72#2747C2214yescomplemented
73#2745C2214yescomplemented
74#2743C2214yescomplemented
75#2743C2214yescomplemented
76#2741C2214yescomplemented
77#2737C2214yescomplemented
78#2723C2214yescomplemented
79#2702C2214yescomplemented
80#2696C2214yescomplemented
81#2696C2214yescomplemented
82#2695C2214yescomplemented
83#2695C2214yescomplemented
84#2694C2214yescomplemented
85#2693C2214yescomplemented
86#2692C2214yescomplemented
87#2690C2214yescomplemented
88#2689C2214yescomplemented
89#2687C2214yescomplemented
90#2659C2212yes—
91#2659C2212yescomplemented
92#2646C2212yes—
93#2646C2212yescomplemented
94#2645C2212yescomplemented
95#2644C2212yescomplemented
96#2642C2212yescomplemented
97#2640C2212yescomplemented
98#2629C2212yescomplemented
99#2628C2212yescomplemented
100#2627C2212yes—
101#2626C2212yes—
102#2616C2212yescomplemented
103#2616C2212yescomplemented
104#2609C2214yescomplemented
105#2601C2214yescomplemented
106#2600C2214yescomplemented
107#2599C2214yescomplemented
108#2598C2214yescomplemented
109#2598C2214yescomplemented
110#2579C2214yescomplemented
111#2579C2214yescomplemented
112#2577C2214yescomplemented
113#2569C2214yes—
114#2564C2214yescomplemented
115#2564C2214yescomplemented
116#2561C2214yes—
117#2559C2214yescomplemented
118#2556C2214yescomplemented
119#2553C2214yescomplemented
120#2549C2214yescomplemented
121#2536C2214yescomplemented
122#2514C2212yescomplemented
123#2512C2212yescomplemented
124#2505C2214yes—
125#2493C2214yes—
126#2493C2214yes—
127#2493C2214yescomplemented
128#2492C2212yescomplemented
129#2490C2212yescomplemented
130#2487C2212yescomplemented
131#2485C2214yescomplemented
132#2484C2214yescomplemented
133#2483C2214yes—
134#2480C2214yes—
135#2480C2214yes—
136#2478C2214yescomplemented
137#2477C2214yescomplemented
138#2477C2214yescomplemented
139#2476C2214yescomplemented
140#2473C2214yes—
141#2473C2214yescomplemented
142#2471C2214yescomplemented
143#2471C2214yescomplemented
144#2470C2214yescomplemented
145#2470C2214yescomplemented
146#2468C2214yescomplemented
147#2465C2214yescomplemented
148#2465C2214yescomplemented
149#2463C2214yescomplemented
150#2460C2214yescomplemented
151#2458C2214yescomplemented
152#2457C2214yescomplemented
153#2457C2214yescomplemented
154#2453C2212yescomplemented
155#2452C2212yescomplemented
156#2450C2214yescomplemented
157#2449C2214yescomplemented
158#2448C2212yescomplemented
159#2447C2212yescomplemented
160#2446C2212yescomplemented
161#2446C2212yescomplemented
162#2444C2214yescomplemented
163#2442C2212yes—
164#2442C2212yescomplemented
165#2440C2212yes—
166#2440C2212yescomplemented
167#2438C2214yescomplemented
168#2438C2214yescomplemented
169#2437C2214yes—
170#2437C2214yes—
171#2437C2214yes—
172#2435C2212yes—
173#2434C2212yes—
174#2432C2212yescomplemented
175#2432C2212yescomplemented
176#2429C2212yescomplemented
177#2429C2212yescomplemented
178#2427C2212yescomplemented
179#2426C2212yescomplemented
180#2425C2214yescomplemented
181#2423C2212yescomplemented
182#2420C2212yescomplemented
183#2417C2212yescomplemented
184#2417C2212yescomplemented
185#2409C2212yescomplemented
186#2407C2214yes—
187#2407C2212yes—
188#2407C2214yes—
189#2407C2212yes—
190#2407C2212yes—
191#2407C2212yes—
192#2406C2214yescomplemented
193#2405C2214yes—
194#2405C2214yes—
195C2×#394C2212yes—
196C2×#392C2212yes—
197#2378C2214yescomplemented
198#2360C2212yes—
199#2360C2214yes—
200#2360C2212yes—
201#2344C2212yescomplemented
202#2342C2214yes—
203#2342C2214yes—
204#2342C2214yes—
205#2341C2212yescomplemented
206Q8×C22⋊C4C2212yes—
207Q8×C22⋊C4C2212yescomplemented
208#2339C2214yescomplemented
209#2339C2212yescomplemented
210D4×C22⋊C4C2214yes—
211D4×C22⋊C4C2212yes—
212D4×C22⋊C4C2214yes—
213#2329C2212yes—
214#2329C2212yes—
215#2327C2212yescomplemented
216#2326C2212yescomplemented
217#2323C2212yescomplemented
218#2323C2212yescomplemented
219#2320C2212yescomplemented
220#2319C2212yescomplemented
221#2318C2212yescomplemented
222#2318C2212yescomplemented
223#2318C2212yescomplemented
224#2318C2212yescomplemented
225#2316C2212yescomplemented
226#2315C2211yescharacteristic
227#2315C2211yescharacteristic
228#2315C2212yes—
229#2313C2211yescharacteristic
230#2313C2211yescharacteristic
231#2313C2212yescomplemented
232#2312C2212yes—
233#2311C2211yescharacteristic, complemented
234#2311C2212yescomplemented
235#2311C2212yescomplemented
236#2311C2211yescharacteristic, complemented
237#2311C2211yescharacteristic, complemented
238#2311C2211yescharacteristic, complemented
239#2308C2212yes—
240#2308C2212yes—
241C4×C22⋊Q8C2212yescomplemented
242C4×#121C2212yescomplemented
243C2×#391C2211yescharacteristic
244C2×#390C2211yescharacteristic
245#2290C2212yescomplemented
246#2290C2212yescomplemented
247#2290C2212yescomplemented
248#2290C2212yescomplemented
249C2×#386C2212yes—
250C2×#385C2212yes—
251#2283C2212yes—
252#2280C2211yescharacteristic
253#2280C2211yescharacteristic
254#2280C2212yes—
255C2×#380C2211yescharacteristic
256C2×#380C2211yescharacteristic
257C2×#380C2212yes—
258C2×C4×C22⋊C4C2212yes—
259C22×#41—28no—
260C22×#41—44no—
261C22×#41—44no—
262C22×#41C2311yescharacteristic
263C22×#41C2311yescharacteristic
264C22×#41C2311yescharacteristic
265C22×#41C2312yes—
266C22×#41C2311yescharacteristic
267C22×#41C2312yes—
268C23×Q8C2311yescharacteristic
269C23×Q8C2311yescharacteristic
270C23×D4C2311yescharacteristic
271C23×D4C2311yescharacteristic
272C23×D4C2312yes—
273C23×D4C2312yes—
274C24×C4C2312yes—
275C24×C4C2311yescharacteristic
276C24×C4C2311yescharacteristic
277#536—44no—
278#536—44no—
279#533—48no—
280C2×C4⋊Q8C2312yes—
281C2×C4⋊Q8C2312yes—
282C2×C4⋊Q8C2312yes—
283#529—48no—
284C2×#126C2314yes—
285C2×#126C2314yes—
286C2×#125C2312yes—
287C2×#125C2314yes—
288C2×#124C2312yes—
289C2×#124C2312yes—
290C2×#123C2314yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×C22⋊Q8—28no—
295C2×C22⋊Q8—44no—
296C2×C22⋊Q8C2312yes—
297C2×C22⋊Q8C2312yes—
298C2×C22⋊Q8C2312yes—
299C2×C22⋊Q8C2312yes—
300C2×C22⋊Q8C2312yes—
301C2×C22⋊Q8C2314yes—
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2312yes—
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2312yes—
306C2×C22⋊Q8C2312yes—
307C2×C22⋊Q8C2312yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2314yes—
310C2×C22⋊Q8C2314yes—
311C2×C22⋊Q8C2314yes—
312C2×C22⋊Q8C2314yes—
313C2×#121—44no—
314C2×#121C2312yes—
315C2×#121C2312yes—
316C2×#121C2314yes—
317#520—44no—
318#520—44no—
319C2×C4×Q8C2312yes—
320C2×C4×Q8C2312yes—
321C2×C4×Q8C2312yes—
322C2×C4×Q8C2312yes—
323C2×C4×Q8C2314yes—
324C2×C4×D4—28no—
325C2×C4×D4C2312yes—
326C2×C4×D4C2312yes—
327C2×C4×D4C2312yes—
328C2×C4×D4C2312yes—
329C2×C4×D4C2312yes—
330C2×C4×D4C2314yes—
331C2×C4×D4C2312yes—
332C2×C4×D4C2314yes—
333C2×C4×D4C2314yes—
334C2×C4×D4C2314yes—
335C2×#117C2311yescharacteristic
336C2×#117C2311yescharacteristic
337C2×#117C2312yes—
338C2×#117C2311yescharacteristic
339C2×#117C2311yescharacteristic
340C2×#117C2312yes—
341C2×#117C2314yes—
342C2×#117C2314yes—
343C2×#117C2314yes—
344C22×C4⋊C4C2311yescharacteristic
345C22×C4⋊C4C2311yescharacteristic
346C22×C4⋊C4C2312yes—
347C22×C4⋊C4C2312yes—
348C22×C4⋊C4C2311yescharacteristic
349C22×C4⋊C4C2311yescharacteristic
350C22×C4⋊C4C2312yes—
351C22×C4⋊C4C2312yes—
352C22×C4⋊C4C2311yescharacteristic
353C22×C4⋊C4C2311yescharacteristic
354C22×C22⋊C4C2312yes—
355C22×C22⋊C4C2312yes—
356C22×C22⋊C4C2311yescharacteristic
357C22×C22⋊C4C2311yescharacteristic
358C22×C22⋊C4C2312yes—
359C22×C22⋊C4C2312yes—
360C22×C22⋊C4C2312yes—
361C22×C22⋊C4C2314yes—
362C22×C22⋊C4C2312yes—
363C22×C22⋊C4C2312yes—
364C22×C22⋊C4C2312yes—
365C22×C22⋊C4C2312yes—
366C22×C42C2311yescharacteristic
367C22×C42C2312yes—
368C22×C42C2312yes—
369#401C2314yes—
370#401C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#399C2314yes—
388#399C2314yes—
389#399C2314yes—
390#399C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#396C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#395C2314yes—
428#395C2314yes—
429#395C2314yes—
430#395C2314yes—
431#395C2314yes—
432#395C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#393C2314yes—
448#393C2314yes—
449#393C2314yes—
450#393C2314yes—
451#393C2314yes—
452#393C2314yes—
453#392C2314yes—
454#392C2314yes—
455#392C2314yes—
456#392C2314yes—
457#391C2312yes—
458#391C2312yes—
459#391C2312yes—
460#391C2314yes—
461#391C2314yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2314yes—
469#391C2314yes—
470#391C2314yes—
471#391C2312yes—
472#391C2314yes—
473#390C2312yes—
474#390C2312yes—
475#390C2312yes—
476#390C2314yes—
477#390C2314yes—
478#390C2312yes—
479#390C2312yes—
480#390C2314yes—
481#390C2314yes—
482#390C2312yes—
483#390C2314yes—
484#389C2314yes—
485#389C2314yes—
486#389C2314yes—
487#389C2314yes—
488#389C2312yes—
489#389C2312yes—
490#389C2312yes—
491#389C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2314yes—
495#389C2314yes—
496#389C2314yes—
497#389C2314yes—
498#389C2314yes—
499#389C2312yes—
500#389C2312yes—
501#388C2314yes—
502#388C2314yes—
503#388C2314yes—
504#388C2314yes—
505#388C2312yes—
506#388C2312yes—
507#388C2312yes—
508#388C2312yes—
509#388C2312yes—
510#388C2312yes—
511#388C2312yes—
512#388C2312yes—
513#388C2314yes—
514#388C2314yes—
515#388C2314yes—
516#388C2314yes—
517#388C2314yes—
518#388C2314yes—
519#388C2314yes—
520#388C2314yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#387C2314yes—
532#387C2314yes—
533#387C2314yes—
534#387C2314yes—
535#387C2312yes—
536#387C2312yes—
537#387C2312yes—
538#387C2312yes—
539#387C2312yes—
540#387C2312yes—
541#387C2312yes—
542#387C2312yes—
543#387C2314yes—
544#387C2314yes—
545#387C2314yes—
546#387C2314yes—
547#387C2314yes—
548#387C2314yes—
549#387C2314yes—
550#387C2314yes—
551#387C2314yes—
552#387C2314yes—
553#387C2314yes—
554#387C2314yes—
555#387C2314yes—
556#387C2314yes—
557#387C2314yes—
558#387C2314yes—
559#387C2314yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#386C2314yes—
564#386C2314yes—
565#386C2312yes—
566#386C2312yes—
567#386C2312yes—
568#386C2312yes—
569#386C2312yes—
570#386C2312yes—
571#386C2312yes—
572#386C2312yes—
573#386C2314yes—
574#386C2314yes—
575#386C2314yes—
576#386C2314yes—
577#386C2314yes—
578#386C2314yes—
579#386C2314yes—
580#386C2314yes—
581#386C2314yes—
582#386C2314yes—
583#386C2314yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#385C2312yes—
594#385C2314yes—
595#385C2314yes—
596#385C2314yes—
597#385C2314yes—
598#385C2314yes—
599#385C2312yes—
600#385C2312yes—
601#385C2312yes—
602#385C2312yes—
603#385C2312yes—
604#385C2312yes—
605#385C2312yes—
606#385C2314yes—
607#385C2314yes—
608#385C2314yes—
609#385C2314yes—
610#385C2314yes—
611#385C2314yes—
612#385C2314yes—
613#385C2314yes—
614#385C2314yes—
615#385C2314yes—
616#385C2314yes—
617#385C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#384C2312yes—
630#383C2312yes—
631#383C2312yes—
632#383C2314yes—
633#383C2314yes—
634#382C2312yes—
635#382C2312yes—
636#382C2314yes—
637#382C2312yes—
638#381C2312yes—
639#381C2314yes—
640#381C2312yes—
641#381C2314yes—
642#381C2312yes—
643#381C2312yes—
644#381C2314yes—
645#381C2314yes—
646#381C2314yes—
647#381C2314yes—
648#381C2314yes—
649#380C2312yes—
650#380C2314yes—
651#380C2314yes—
652#380C2314yes—
653#380C2311yescharacteristic
654#380C2311yescharacteristic
655#380C2312yes—
656#380C2312yes—
657#380C2312yes—
658#380C2312yes—
659#380C2312yes—
660#380C2312yes—
661#380C2312yes—
662#380C2312yes—
663#380C2312yes—
664#380C2312yes—
665#380C2311yescharacteristic
666#380C2311yescharacteristic
667#380C2311yescharacteristic
668#380C2311yescharacteristic
669#380C2312yes—
670#380C2314yes—
671#380C2314yes—
672#380C2314yes—
673#380C2311yescharacteristic
674#380C2311yescharacteristic
675#380C2312yes—
676#380C2312yes—
677#380C2312yes—
678#380C2312yes—
679#380C2312yes—
680#380C2314yes—
681#380C2312yes—
682#380C2314yes—
683#380C2314yes—
684#380C2314yes—
685#380C2312yes—
686#380C2312yes—
687#380C2314yes—
688#379C2314yes—
689#379C2314yes—
690#379C2312yes—
691#379C2312yes—
692#379C2314yes—
693#379C2314yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2314yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716#376C2312yes—
717#376C2312yes—
718C2×#95C2312yes—
719C2×#95C2314yes—
720C2×#95C2312yes—
721C2×#95C2312yes—
722C2×#95C2312yes—
723C2×#95C2312yes—
724C2×#95C2312yes—
725C25C2412yes—
726C25C2411yescharacteristic
727C25C2411yescharacteristic
728C2×#41—24no—
729C2×#41—24no—
730C2×#41—24no—
731C2×#41—24no—
732C2×#41—24no—
733C2×#41—28no—
734C2×#41—24no—
735C2×#41—24no—
736C2×#41—24no—
737C2×#41—28no—
738C2×#41—44no—
739C2×#41—44no—
740C2×#41—42no—
741C2×#41—44no—
742C2×#41—42no—
743C2×#41—42no—
744C2×#41—42no—
745C2×#41—44no—
746C2×#41—464no—
747C22×Q8—24no—
748C22×Q8—24no—
749C22×Q8—24no—
750C22×Q8—42no—
751C22×Q8—42no—
752C22×Q8—42no—
753C22×Q8C2412yes—
754C22×Q8C2411yescharacteristic
755C22×Q8C2412yes—
756C22×Q8C2411yescharacteristic
757C22×Q8C2412yes—
758C22×Q8C2414yes—
759C22×D4—24no—
760C22×D4—28no—
761C22×D4—24no—
762C22×D4—28no—
763C22×D4—24no—
764C22×D4—24no—
765C22×D4—42no—
766C22×D4—44no—
767C22×D4—42no—
768C22×D4—44no—
769C22×D4—44no—
770C22×D4—82no—
771C22×D4C2412yes—
772C22×D4C2411yescharacteristic
773C22×D4C2414yes—
774C22×D4C2412yes—
775C22×D4C2412yes—
776C22×D4C2412yes—
777C22×D4C2412yes—
778C22×D4C2412yes—
779C22×D4C2411yescharacteristic
780C22×D4C2414yes—
781C22×D4C2412yes—
782C23×C4—28no—
783C23×C4—24no—
784C23×C4—42no—
785C23×C4—42no—
786C23×C4—44no—
787C23×C4—42no—
788C23×C4—42no—
789C23×C4—44no—
790C23×C4#4118yes—
791C23×C4C2411yescharacteristic
792C23×C4C2412yes—
793C23×C4C2412yes—
794C23×C4C2412yes—
795C23×C4C2412yes—
796C23×C4C2412yes—
797C23×C4C2411yescharacteristic
798C23×C4C2411yescharacteristic
799C23×C4C2411yescharacteristic
800C23×C4C2412yes—
801C23×C4C2411yescharacteristic
802C23×C4C2411yescharacteristic
803C23×C4C2412yes—
804C23×C4C2412yes—
805C23×C4C2414yes—
806C23×C4C2412yes—
807C23×C4C2412yes—
808C23×C4C2412yes—
809C23×C4C2412yes—
810C23×C4C2412yes—
811C23×C4C2414yes—
812C23×C4C2412yes—
813C23×C4C2412yes—
814C23×C4C2412yes—
815C23×C4C2412yes—
816C23×C4C2411yescharacteristic
817C23×C4C2411yescharacteristic
818C23×C4C2411yescharacteristic
819C4⋊Q8—28no—
820C4⋊Q8—44no—
821C4⋊Q8—44no—
822#126—48no—
823#126—84no—
824#125—44no—
825#125—48no—
826#124—28no—
827#124—44no—
828#123—48no—
829#123—48no—
830#123—48no—
831#123—84no—
832C22⋊Q8—28no—
833C22⋊Q8—28no—
834C22⋊Q8—28no—
835C22⋊Q8—28no—
836C22⋊Q8—28no—
837C22⋊Q8—48no—
838C22⋊Q8—44no—
839C22⋊Q8—44no—
840C22⋊Q8—48no—
841C22⋊Q8—48no—
842C22⋊Q8—44no—
843C22⋊Q8—44no—
844C22⋊Q8—44no—
845C22⋊Q8—44no—
846C22⋊Q8—44no—
847C22⋊Q8—84no—
848C22⋊Q8—84no—
849#121—28no—
850#121—48no—
851#121—44no—
852C4×Q8—28no—
853C4×Q8—48no—
854C4×Q8—44no—
855C4×Q8—44no—
856C4×Q8—44no—
857C4×D4—28no—
858C4×D4—28no—
859C4×D4—28no—
860C4×D4—28no—
861C4×D4—28no—
862C4×D4—44no—
863C4×D4—48no—
864C4×D4—48no—
865C4×D4—48no—
866C4×D4—84no—
867#117—42no—
868#117—42no—
869#117—44no—
870#117—42no—
871#117—42no—
872#117—48no—
873#117—44no—
874#117—48no—
875#117—84no—
876C2×C4⋊C4—24no—
877C2×C4⋊C4—24no—
878C2×C4⋊C4—28no—
879C2×C4⋊C4—42no—
880C2×C4⋊C4—44no—
881C2×C4⋊C4—42no—
882C2×C4⋊C4—42no—
883C2×C4⋊C4—44no—
884C2×C4⋊C4—42no—
885C2×C4⋊C4—44no—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C22⋊C4—24no—
938C2×C22⋊C4—28no—
939C2×C22⋊C4—28no—
940C2×C22⋊C4—24no—
941C2×C22⋊C4—44no—
942C2×C22⋊C4—48no—
943C2×C22⋊C4—44no—
944C2×C22⋊C4—44no—
945C2×C22⋊C4—44no—
946C2×C22⋊C4—44no—
947C2×C22⋊C4—82no—
948C2×C22⋊C4—82no—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C42—24no—
1002C2×C42—44no—
1003C2×C42—44no—
1004C2×C42C2414yes—
1005C2×C42C2412yes—
1006C2×C42C2412yes—
1007C2×C42C2412yes—
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2414yes—
1013C2×C42C2414yes—
1014C2×C42C2414yes—
1015C2×C42C2414yes—
1016C2×C42C2414yes—
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020#95C2412yes—
1021#95C2414yes—
1022#95C2412yes—
1023#95C2412yes—
1024#95C2412yes—
1025#95C2412yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082C24—22no—
1083C24—22no—
1084C24—22no—
1085C24—22no—
1086C24—24no—
1087C24—24no—
1088C24—24no—
1089C24—24no—
1090C24—41no—
1091C24—41no—
1092C24—42no—
1093C24—41no—
1094C24—42no—
1095C24—41no—
1096C24—41no—
1097C24—41no—
1098C24—41no—
1099C24—41no—
1100C24—42no—
1101C24C2×#4114yes—
1102C242−1+414yes—
1103C24C2512yes—
1104C24C2511yescharacteristic
1105C24C2511yescharacteristic
1106C24C2512yes—
1107C24C2512yes—
1108C24C2511yescharacteristic
1109#41—232no—
1110#41—416no—
1111#41—416no—
1112#41—432no—
1113#41—416no—
1114#41—432no—
1115C2×Q8—22no—
1116C2×Q8—24no—
1117C2×Q8—24no—
1118C2×Q8—22no—
1119C2×Q8—24no—
1120C2×Q8—22no—
1121C2×Q8—24no—
1122C2×Q8—24no—
1123C2×Q8—24no—
1124C2×Q8—22no—
1125C2×Q8—22no—
1126C2×Q8—42no—
1127C2×Q8—44no—
1128C2×Q8—42no—
1129C2×Q8—42no—
1130C2×Q8—44no—
1131C2×Q8—44no—
1132C2×Q8—416no—
1133C2×Q8—88no—
1134C2×Q8H(5,𝔽2)14yes—
1135C2×D4—24no—
1136C2×D4—24no—
1137C2×D4—24no—
1138C2×D4—24no—
1139C2×D4—24no—
1140C2×D4—24no—
1141C2×D4—24no—
1142C2×D4—28no—
1143C2×D4—24no—
1144C2×D4—24no—
1145C2×D4—24no—
1146C2×D4—24no—
1147C2×D4—28no—
1148C2×D4—28no—
1149C2×D4—22no—
1150C2×D4—24no—
1151C2×D4—22no—
1152C2×D4—24no—
1153C2×D4—22no—
1154C2×D4—22no—
1155C2×D4—24no—
1156C2×D4—22no—
1157C2×D4—416no—
1158C2×D4—44no—
1159C2×D4—42no—
1160C2×D4—42no—
1161C2×D4—42no—
1162C2×D4—42no—
1163C2×D4—42no—
1164C2×D4—42no—
1165C2×D4—42no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—432no—
1169C2×D4—416no—
1170C2×D4—816no—
1171C2×D4H(5,𝔽2)14yes—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—24no—
1191C22×C4—28no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—24no—
1200C22×C4—24no—
1201C22×C4—24no—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—416no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—41no—
1224C22×C4—42no—
1225C22×C4—42no—
1226C22×C4—44no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—41no—
1231C22×C4—42no—
1232C22×C4—41no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—44no—
1241C22×C4—41no—
1242C22×C4—44no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—44no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—44no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—432no—
1252C22×C4—88no—
1253C22×C4C2×#4114yes—
1254C22×C4C2×#4114yes—
1255C22×C4C2×#4114yes—
1256C22×C4C2×#4114yes—
1257C22×C4C2×#4114yes—
1258C22×C4C2×#4114yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2514yes—
1265C22×C4C2512yes—
1266C22×C4C2514yes—
1267C22×C4C2514yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2514yes—
1274C22×C4C2512yes—
1275C22×C4C2514yes—
1276C22×C4C2514yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—28no—
1287C4⋊C4—28no—
1288C4⋊C4—24no—
1289C4⋊C4—28no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—28no—
1293C4⋊C4—24no—
1294C4⋊C4—28no—
1295C4⋊C4—28no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—42no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—28no—
1336C22⋊C4—28no—
1337C22⋊C4—28no—
1338C22⋊C4—28no—
1339C22⋊C4—28no—
1340C22⋊C4—28no—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—24no—
1345C22⋊C4—24no—
1346C22⋊C4—28no—
1347C22⋊C4—24no—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—28no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—42no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—44no—
1372C22⋊C4—42no—
1373C22⋊C4—44no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—42no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C42—24no—
1386C42—24no—
1387C42—24no—
1388C42—24no—
1389C42—24no—
1390C42—24no—
1391C42—28no—
1392C42—42no—
1393C42—42no—
1394C42—42no—
1395C42—42no—
1396C42—44no—
1397C42—44no—
1398C42—44no—
1399C42—44no—
1400C42—44no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—22no—
1413C23—22no—
1414C23—21no—
1415C23—21no—
1416C23—22no—
1417C23—21no—
1418C23—22no—
1419C23—22no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—22no—
1424C23—22no—
1425C23—21no—
1426C23—21no—
1427C23—22no—
1428C23—22no—
1429C23—28no—
1430C23—28no—
1431C23—22no—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—44no—
1439C23—44no—
1440C23—44no—
1441C23—44no—
1442C23—48no—
1443C23—48no—
1444C23—48no—
1445C23—48no—
1446C23—82no—
1447C23—82no—
1448C23—84no—
1449C23—82no—
1450C23—84no—
1451C23—82no—
1452C23—82no—
1453C23—82no—
1454C23—82no—
1455C23—82no—
1456C23—84no—
1457C23C22×#4112yes—
1458C23C22×#4112yes—
1459C23C22×#4112yes—
1460C23C2×H(5,𝔽2)14yes—
1461C23C2×2−1+414yes—
1462C23C2×2−1+412yes—
1463C23#58512yes—
1464C23C2611yescharacteristic
1465Q8—28no—
1466Q8—48no—
1467Q8—44no—
1468Q8—48no—
1469Q8—84no—
1470Q8—88no—
1471D4—216no—
1472D4—28no—
1473D4—48no—
1474D4—48no—
1475D4—48no—
1476D4—48no—
1477D4—48no—
1478D4—416no—
1479D4—48no—
1480D4—44no—
1481D4—88no—
1482C2×C4—216no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—28no—
1492C2×C4—28no—
1493C2×C4—28no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—24no—
1497C2×C4—22no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—24no—
1513C2×C4—24no—
1514C2×C4—24no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—24no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—24no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—44no—
1549C2×C4—44no—
1550C2×C4—44no—
1551C2×C4—48no—
1552C2×C4—48no—
1553C2×C4—48no—
1554C2×C4—48no—
1555C2×C4—48no—
1556C2×C4—48no—
1557C2×C4—44no—
1558C2×C4—48no—
1559C2×C4—84no—
1560C2×C4—82no—
1561C2×C4—84no—
1562C2×C4—88no—
1563C2×C4—84no—
1564C2×C4—82no—
1565C2×C4—84no—
1566C2×C4—84no—
1567C2×C4—84no—
1568C2×C4—84no—
1569C2×C4—162no—
1570C2×C4—164no—
1571C2×C4—162no—
1572C2×C4C22×#4112yes—
1573C2×C4C22×#4112yes—
1574C2×C4C22×#4112yes—
1575C2×C4C22×#4112yes—
1576C2×C4C2×H(5,𝔽2)14yes—
1577C2×C4C2×H(5,𝔽2)12yes—
1578C2×C4C2×H(5,𝔽2)12yes—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—24no—
1588C22—22no—
1589C22—22no—
1590C22—24no—
1591C22—22no—
1592C22—22no—
1593C22—24no—
1594C22—24no—
1595C22—24no—
1596C22—24no—
1597C22—42no—
1598C22—42no—
1599C22—42no—
1600C22—42no—
1601C22—41no—
1602C22—41no—
1603C22—42no—
1604C22—41no—
1605C22—41no—
1606C22—42no—
1607C22—41no—
1608C22—41no—
1609C22—42no—
1610C22—42no—
1611C22—41no—
1612C22—41no—
1613C22—42no—
1614C22—42no—
1615C22—42no—
1616C22—42no—
1617C22—42no—
1618C22—42no—
1619C22—42no—
1620C22—88no—
1621C22—88no—
1622C22—816no—
1623C22#349514yes—
1624C22C23×#4111yescharacteristic
1625C22C22×H(5,𝔽2)11yescharacteristic
1626C22C22×H(5,𝔽2)11yescharacteristic
1627C22C22×2−1+411yescharacteristic
1628C22C2×#58511yescharacteristic
1629C22H(7,𝔽2)11yescharacteristic
1630C222−1+611yescharacteristic
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—24no—
1635C4—42no—
1636C4—42no—
1637C4—44no—
1638C4—42no—
1639C4—44no—
1640C4—42no—
1641C4—42no—
1642C4—42no—
1643C4—42no—
1644C4—42no—
1645C4—44no—
1646C4—42no—
1647C4—42no—
1648C4—44no—
1649C4—42no—
1650C4—44no—
1651C4—42no—
1652C4—44no—
1653C4#349014yes—
1654C2—24no—
1655C2—42no—
1656C2—42no—
1657C2—44no—
1658C2—44no—
1659C2—82no—
1660C2C2×#349011yescharacteristic
1661C2C2×#349511yescharacteristic
1662C2#6285611yescharacteristic
1663C2#6289311yescharacteristic
1664C2#6289411yescharacteristic
1665C2#6289811yescharacteristic
1666C2#6289911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#2407C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #47896C2semidirect
2. #47893C2semidirect
3. #47001C2semidirect
4. #46395C2semidirect
5. #43076C2semidirect
6. #43047C2semidirect
7. #39044C2semidirect
8. #39041C2semidirect
9. #38057C2semidirect
10. #38054C2semidirect
11. #37956C2semidirect
12. #37932C2semidirect
13. #37880C2semidirect
14. #37872C2semidirect
15. #37750C2semidirect
16. #37749C2semidirect
17. #37477C2semidirect
18. #37406C2semidirect
19. #37338C2semidirect
20. #36130C2semidirect
21. #36107C2semidirect
22. #35654C2semidirect
23. #35526C2semidirect
24. #35305C2semidirect
25. #35010C2semidirect
27. #34380C2semidirect
28. #34175C2semidirect
29. #34057C2semidirect
31. C2×#536C22semidirect
32. C2×#536C22semidirect
33. C2×#533C22semidirect
34. C2×#529C22semidirect
38. C2×#520C22semidirect
39. C2×#520C22semidirect
41. #2857C22semidirect
43. #2855C22semidirect
44. #2854C22semidirect
45. #2850C22semidirect
49. #2841C22semidirect
50. #2788C22semidirect
51. #2787C22semidirect
52. #2787C22semidirect
53. #2784C22semidirect
54. #2780C22semidirect
55. #2779C22semidirect
56. #2779C22semidirect
57. #2778C22semidirect
58. #2778C22semidirect
59. #2770C22semidirect
60. #2762C22semidirect
61. #2762C22semidirect
62. #2761C22semidirect
63. #2761C22semidirect
64. #2760C22semidirect
65. #2758C22semidirect
66. #2757C22semidirect
67. #2755C22semidirect
68. #2750C22semidirect
69. #2749C22semidirect
70. #2749C22semidirect
71. #2748C22semidirect
72. #2747C22semidirect
73. #2745C22semidirect
74. #2743C22semidirect
75. #2743C22semidirect
76. #2741C22semidirect
77. #2737C22semidirect
78. #2723C22semidirect
79. #2702C22semidirect
80. #2696C22semidirect
81. #2696C22semidirect
82. #2695C22semidirect
83. #2695C22semidirect
84. #2694C22semidirect
85. #2693C22semidirect
86. #2692C22semidirect
87. #2690C22semidirect
88. #2689C22semidirect
89. #2687C22semidirect
91. #2659C22semidirect
93. #2646C22semidirect
94. #2645C22semidirect
95. #2644C22semidirect
96. #2642C22semidirect
97. #2640C22semidirect
98. #2629C22semidirect
99. #2628C22semidirect
102. #2616C22semidirect
103. #2616C22semidirect
104. #2609C22semidirect
105. #2601C22semidirect
106. #2600C22semidirect
107. #2599C22semidirect
108. #2598C22semidirect
109. #2598C22semidirect
110. #2579C22semidirect
111. #2579C22semidirect
112. #2577C22semidirect
114. #2564C22semidirect
115. #2564C22semidirect
117. #2559C22semidirect
118. #2556C22semidirect
119. #2553C22semidirect
120. #2549C22semidirect
121. #2536C22semidirect
122. #2514C22semidirect
123. #2512C22semidirect
127. #2493C22semidirect
128. #2492C22semidirect
129. #2490C22semidirect
130. #2487C22semidirect
131. #2485C22semidirect
132. #2484C22semidirect
136. #2478C22semidirect
137. #2477C22semidirect
138. #2477C22semidirect
139. #2476C22semidirect
141. #2473C22semidirect
142. #2471C22semidirect
143. #2471C22semidirect
144. #2470C22semidirect
145. #2470C22semidirect
146. #2468C22semidirect
147. #2465C22semidirect
148. #2465C22semidirect
149. #2463C22semidirect
150. #2460C22semidirect
151. #2458C22semidirect
152. #2457C22semidirect
153. #2457C22semidirect
154. #2453C22semidirect
155. #2452C22semidirect
156. #2450C22semidirect
157. #2449C22semidirect
158. #2448C22semidirect
159. #2447C22semidirect
160. #2446C22semidirect
161. #2446C22semidirect
162. #2444C22semidirect
164. #2442C22semidirect
166. #2440C22semidirect
167. #2438C22semidirect
168. #2438C22semidirect
174. #2432C22semidirect
175. #2432C22semidirect
176. #2429C22semidirect
177. #2429C22semidirect
178. #2427C22semidirect
179. #2426C22semidirect
180. #2425C22semidirect
181. #2423C22semidirect
182. #2420C22semidirect
183. #2417C22semidirect
184. #2417C22semidirect
185. #2409C22semidirect
192. #2406C22semidirect
197. #2378C22semidirect
201. #2344C22semidirect
205. #2341C22semidirect
207. Q8×C22⋊C4C22semidirect
208. #2339C22semidirect
209. #2339C22semidirect
215. #2327C22semidirect
216. #2326C22semidirect
217. #2323C22semidirect
218. #2323C22semidirect
219. #2320C22semidirect
220. #2319C22semidirect
221. #2318C22semidirect
222. #2318C22semidirect
223. #2318C22semidirect
224. #2318C22semidirect
225. #2316C22semidirect
231. #2313C22semidirect
233. #2311C22semidirect
234. #2311C22semidirect
235. #2311C22semidirect
236. #2311C22semidirect
237. #2311C22semidirect
238. #2311C22semidirect
241. C4×C22⋊Q8C22semidirect
242. C4×#121C22semidirect
245. #2290C22semidirect
246. #2290C22semidirect
247. #2290C22semidirect
248. #2290C22semidirect

Maximal subgroups

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

subgroupindex
#478962
#478932
#470012
#463952
#430762
#430472
#390442
#390412
#380572
#380542
#379562
#379322
#378802
#378722
#377502
#377492
#374772
#374062
#373382
#361302
#361072
#356542
#355262
#353052
#350102
C2×#24072
#343802
#341752
#340572