Finite Group Databasebeta

← #7651285

Subgroups — #7651285

Order 512.

4685 conjugacy classes of subgroups.

The subgroup lattice has 1695 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42922C212yesmaximal, complemented
2#42921C212yesmaximal, complemented
3#42861C212yesmaximal, complemented
4#42832C212yesmaximal, complemented
5#42750C212yesmaximal, complemented
6#42724C212yesmaximal, complemented
7#42656C212yesmaximal, complemented
8#42452C212yesmaximal, complemented
9#41554C214yesmaximal, complemented
10#40816C214yesmaximal, complemented
11#40220C212yesmaximal, complemented
12#40069C212yesmaximal, complemented
13#39939C212yesmaximal, complemented
14#39914C212yesmaximal, complemented
15#39536C212yesmaximal, complemented
16#39223C212yesmaximal, complemented
17#39155C212yesmaximal, complemented
18#38929C212yesmaximal, complemented
19#38600C214yesmaximal, complemented
20#38136C214yesmaximal, complemented
21#35633C211yesmaximal, characteristic
22#35630C211yesmaximal, characteristic, complemented
23#35627C211yesmaximal, characteristic, complemented
24#35585C211yesmaximal, characteristic, complemented
25#35544C211yesmaximal, characteristic, complemented
26#35519C211yesmaximal, characteristic, complemented
27#35311C211yesmaximal, characteristic, complemented
28#35307C211yesmaximal, characteristic, complemented
29#35179C211yesmaximal, characteristic, complemented
30#34742C211yesmaximal, characteristic
31#34739C211yesmaximal, characteristic, complemented
32C2×#2421C211yesmaximal, characteristic, complemented
33#34266C211yesmaximal, characteristic, complemented
34#34202C211yesmaximal, characteristic
35#34184C211yesmaximal, characteristic, complemented
36C2×#536C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C2×#525C2211yescharacteristic
39C22×C22⋊Q8C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C2×C4×#41C2211yescharacteristic
43C22×C4×Q8C2211yescharacteristic
44C22×#117C2211yescharacteristic
45#2855C2212yes—
46#2855C2212yes—
47#2855C2214yes—
48#2855C2212yescomplemented
49#2855C2212yescomplemented
50#2839C2214yescomplemented
51#2836C2214yes—
52#2835C2214yescomplemented
53#2827C2214yes—
54#2810C2214yescomplemented
55#2805C2214yescomplemented
56#2802C2214yescomplemented
57#2802C2214yescomplemented
58#2796C2214yes—
59#2789C2214yescomplemented
60#2787C2214yescomplemented
61#2786C2214yes—
62#2783C2214yes—
63#2783C2214yes—
64#2782C2214yes—
65#2775C2214yes—
66#2773C2214yes—
67#2771C2214yes—
68#2770C2214yescomplemented
69#2769C2214yescomplemented
70#2767C2214yescomplemented
71#2767C2214yescomplemented
72#2765C2214yes—
73#2747C2214yescomplemented
74#2746C2214yes—
75#2745C2214yescomplemented
76#2744C2214yes—
77#2744C2214yescomplemented
78#2739C2214yescomplemented
79#2738C2214yescomplemented
80#2737C2214yes—
81#2728C2214yes—
82#2707C2214yes—
83#2695C2214yes—
84#2690C2214yescomplemented
85#2689C2214yes—
86#2666C2214yescomplemented
87#2655C2214yescomplemented
88#2655C2214yescomplemented
89#2654C2214yes—
90#2652C2214yes—
91#2652C2214yescomplemented
92#2652C2214yescomplemented
93#2650C2214yes—
94#2649C2214yes—
95#2646C2214yescomplemented
96#2643C2214yes—
97#2638C2214yes—
98#2627C2214yes—
99#2625C2212yes—
100#2625C2212yes—
101#2625C2212yescomplemented
102#2625C2212yescomplemented
103#2594C2214yes—
104#2590C2214yescomplemented
105#2588C2214yescomplemented
106#2585C2214yescomplemented
107#2582C2212yescomplemented
108#2582C2212yescomplemented
109#2582C2212yescomplemented
110#2581C2212yescomplemented
111#2581C2212yescomplemented
112#2581C2212yescomplemented
113#2580C2212yescomplemented
114#2577C2214yes—
115#2571C2212yescomplemented
116#2571C2212yescomplemented
117#2570C2212yescomplemented
118#2570C2212yescomplemented
119#2569C2214yes—
120#2568C2212yescomplemented
121#2567C2212yescomplemented
122#2565C2212yescomplemented
123#2565C2212yescomplemented
124#2556C2214yes—
125#2538C2212yescomplemented
126#2534C2214yes—
127#2517C2214yescomplemented
128#2514C2212yescomplemented
129#2514C2212yescomplemented
130#2514C2212yescomplemented
131#2514C2212yescomplemented
132#2511C2212yescomplemented
133#2511C2212yescomplemented
134#2511C2212yescomplemented
135#2511C2212yescomplemented
136#2509C2212yescomplemented
137#2509C2212yescomplemented
138#2509C2212yescomplemented
139#2509C2212yescomplemented
140#2508C2212yescomplemented
141#2508C2212yescomplemented
142#2508C2212yescomplemented
143#2508C2212yescomplemented
144#2507C2212yescomplemented
145#2507C2212yescomplemented
146#2506C2212yescomplemented
147#2506C2212yescomplemented
148#2505C2214yes—
149#2505C2214yes—
150#2503C2212yes—
151#2502C2212yes—
152#2499C2212yes—
153#2499C2212yes—
154#2497C2212yes—
155#2497C2212yes—
156#2496C2212yes—
157#2496C2212yes—
158#2495C2212yes—
159#2495C2212yes—
160#2494C2212yes—
161#2494C2212yes—
162#2493C2214yes—
163#2493C2214yes—
164#2493C2214yes—
165#2493C2214yescomplemented
166#2493C2214yescomplemented
167#2488C2214yes—
168#2486C2214yes—
169#2484C2214yes—
170#2483C2214yes—
171#2480C2214yes—
172#2466C2214yes—
173#2450C2214yes—
174#2449C2214yes—
175#2447C2212yescomplemented
176#2447C2212yescomplemented
177#2446C2212yescomplemented
178#2446C2212yescomplemented
179#2442C2214yes—
180#2442C2211yescharacteristic
181#2442C2211yescharacteristic
182#2442C2212yescomplemented
183#2441C2211yescharacteristic
184#2441C2211yescharacteristic
185#2441C2212yescomplemented
186#2440C2211yescharacteristic
187#2440C2211yescharacteristic
188#2440C2212yescomplemented
189#2439C2211yescharacteristic
190#2439C2211yescharacteristic
191#2439C2212yescomplemented
192#2438C2212yes—
193#2438C2212yes—
194#2437C2212yes—
195#2437C2212yes—
196#2429C2212yes—
197#2429C2212yes—
198#2427C2212yes—
199#2427C2212yes—
200#2423C2211yescharacteristic
201#2423C2211yescharacteristic
202#2422C2211yescharacteristic
203#2422C2211yescharacteristic
204#2421C2212yes—
205#2421C2212yes—
206#2421C2211yescharacteristic
207#2421C2212yes—
208#2421C2212yes—
209#2421C2211yescharacteristic
210#2421C2212yes—
211#2421C2212yes—
212#2421C2212yes—
213#2421C2212yes—
214#2420C2211yescharacteristic
215#2420C2211yescharacteristic
216#2419C2214yes—
217#2419C2212yes—
218#2419C2214yes—
219#2419C2214yes—
220#2419C2212yes—
221#2418C2212yes—
222#2418C2212yes—
223#2417C2212yes—
224#2417C2212yes—
225#2415C2212yes—
226#2415C2212yes—
227#2396C2212yes—
228#2396C2212yes—
229#2395C2212yes—
230#2395C2212yes—
231C2×#400C2212yes—
232C2×#397C2212yes—
233#2367C2212yescomplemented
234#2367C2212yescomplemented
235#2365C2212yescomplemented
236#2365C2212yescomplemented
237#2362C2212yescomplemented
238#2362C2212yescomplemented
239#2360C2212yescomplemented
240#2360C2212yescomplemented
241#2359C2214yes—
242#2358C2214yes—
243#2354C2212yes—
244#2352C2212yes—
245#2352C2212yes—
246#2351C2212yescomplemented
247#2351C2212yescomplemented
248#2349C2214yes—
249#2349C2214yes—
250#2349C2212yescomplemented
251#2349C2212yescomplemented
252D4×C4⋊C4C2212yes—
253#2336C2214yescomplemented
254#2334C2214yes—
255#2329C2214yescomplemented
256#2324C2212yes—
257#2323C2212yes—
258#2322C2214yes—
259#2318C2214yes—
260#2317C2211yescharacteristic
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2317C2211yescharacteristic
264#2317C2211yescharacteristic
265#2317C2212yescomplemented
266#2317C2212yescomplemented
267#2316C2211yescharacteristic
268#2316C2211yescharacteristic
269#2311C2211yescharacteristic
270#2310C2211yescharacteristic
271#2310C2211yescharacteristic
272#2310C2211yescharacteristic
273C4×C22⋊Q8C2212yes—
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×#123C2212yes—
277C4×#123C2212yes—
278C4×#123C2214yes—
279C4×#121C2212yes—
280#2297C2211yescharacteristic
281#2296C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284C2×#391C2211yescharacteristic
285C2×#389C2211yescharacteristic
286C2×#388C2212yes—
287C2×#387C2212yes—
288#2285C2211yescharacteristic
289#2285C2211yescharacteristic
290#2285C2212yescomplemented
291C2×#382C2211yescharacteristic
292C2×#382C2212yescomplemented
293#2280C2211yescharacteristic
294#2280C2211yescharacteristic
295C2×#380C2211yescharacteristic
296#2274C2211yescharacteristic
297#2274C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C24×C4C2311yescharacteristic
302#536—28no—
303#533—44no—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×#126C2314yes—
308C2×#125C2311yescharacteristic
309C2×#125C2311yescharacteristic
310C2×#125C2314yes—
311C2×#124C2312yes—
312#525—28no—
313C2×#123C2314yes—
314C2×#123C2312yes—
315C2×#123C2312yes—
316C2×#123C2312yes—
317C2×C22⋊Q8—44no—
318C2×C22⋊Q8C2311yescharacteristic
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×#121C2311yescharacteristic
332C2×#121C2311yescharacteristic
333C2×#120C2312yes—
334#520—44no—
335#520—44no—
336C4×#41—28no—
337C2×C4×Q8—44no—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2314yes—
359C2×#117—44no—
360C2×#117C2311yescharacteristic
361C2×#117C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2312yes—
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2312yes—
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2311yescharacteristic
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2311yescharacteristic
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2312yes—
384C22×C22⋊C4C2312yes—
385C22×C22⋊C4C2312yes—
386C22×C22⋊C4C2311yescharacteristic
387C22×C22⋊C4C2312yes—
388C22×C22⋊C4C2311yescharacteristic
389C22×C42C2312yes—
390C22×C42C2311yescharacteristic
391C22×C42C2311yescharacteristic
392C22×C42C2312yes—
393C22×C42C2312yes—
394#401C2314yes—
395#401C2314yes—
396#401C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2312yes—
415#400C2314yes—
416#400C2314yes—
417#400C2312yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2312yes—
429#400C2312yes—
430#400C2314yes—
431#399C2312yes—
432#399C2314yes—
433#399C2312yes—
434#399C2312yes—
435#399C2312yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2312yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2312yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2312yes—
457#398C2312yes—
458#398C2312yes—
459#398C2312yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2312yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2312yes—
477#397C2312yes—
478#397C2312yes—
479#397C2312yes—
480#397C2312yes—
481#397C2314yes—
482#397C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2312yes—
486#396C2314yes—
487#396C2312yes—
488#396C2312yes—
489#396C2312yes—
490#396C2314yes—
491#396C2314yes—
492#395C2314yes—
493#395C2314yes—
494#395C2312yes—
495#395C2314yes—
496#395C2312yes—
497#394C2312yes—
498#394C2314yes—
499#394C2312yes—
500#394C2314yes—
501#394C2312yes—
502#394C2312yes—
503#393C2314yes—
504#393C2312yes—
505#393C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2314yes—
520#391C2314yes—
521#391C2311yescharacteristic
522#391C2311yescharacteristic
523#391C2314yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#390C2312yes—
531#390C2314yes—
532#390C2311yescharacteristic
533#390C2311yescharacteristic
534#389C2314yes—
535#389C2314yes—
536#389C2311yescharacteristic
537#389C2311yescharacteristic
538#389C2312yes—
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2314yes—
543#389C2314yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#389C2314yes—
571#389C2312yes—
572#389C2314yes—
573#389C2314yes—
574#389C2314yes—
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2312yes—
580#389C2311yescharacteristic
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2312yes—
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#387C2314yes—
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#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2312yes—
653#387C2314yes—
654#387C2312yes—
655#387C2312yes—
656#386C2314yes—
657#386C2314yes—
658#386C2312yes—
659#386C2314yes—
660#386C2312yes—
661#386C2314yes—
662#386C2312yes—
663#386C2314yes—
664#386C2312yes—
665#385C2312yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2314yes—
684#385C2312yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2312yes—
689#385C2312yes—
690#385C2312yes—
691#385C2312yes—
692#385C2312yes—
693#385C2312yes—
694#385C2312yes—
695#385C2312yes—
696#384C2312yes—
697#384C2312yes—
698#384C2312yes—
699#384C2312yes—
700#384C2312yes—
701#384C2311yescharacteristic
702#384C2311yescharacteristic
703#384C2311yescharacteristic
704#384C2311yescharacteristic
705#383C2314yes—
706#383C2314yes—
707#383C2314yes—
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2314yes—
714#382C2314yes—
715#382C2312yes—
716#382C2312yes—
717#382C2314yes—
718#382C2311yescharacteristic
719#382C2311yescharacteristic
720#382C2314yes—
721#382C2314yes—
722#382C2312yes—
723#382C2312yes—
724#382C2311yescharacteristic
725#382C2311yescharacteristic
726#381C2314yes—
727#381C2314yes—
728#381C2314yes—
729#381C2314yes—
730#381C2314yes—
731#381C2314yes—
732#381C2314yes—
733#381C2312yes—
734#381C2312yes—
735#381C2312yes—
736#381C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2314yes—
741#380C2314yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2314yes—
746#380C2312yes—
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2314yes—
753#380C2314yes—
754#380C2312yes—
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2314yes—
758#380C2314yes—
759#380C2311yescharacteristic
760#380C2311yescharacteristic
761#380C2311yescharacteristic
762#380C2311yescharacteristic
763#380C2312yes—
764#379C2312yes—
765#379C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C2×#95C2312yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2311yescharacteristic
817C2×#95C2312yes—
818C2×#95C2311yescharacteristic
819C25C2411yescharacteristic
820C2×#41—24no—
821C2×#41—24no—
822C2×#41#4118yes—
823C22×Q8—24no—
824C22×Q8—24no—
825C22×Q8—24no—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C23×C4—24no—
836C23×C4—24no—
837C23×C4—24no—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2414yes—
857C23×C4C2414yes—
858C23×C4C2411yescharacteristic
859C4⋊Q8—28no—
860C4⋊Q8—42no—
861C4⋊Q8—42no—
862#126—48no—
863#125—42no—
864#125—42no—
865#125—48no—
866#124—28no—
867#123—28no—
868#123—216no—
869#123—44no—
870#123—44no—
871C22⋊Q8—24no—
872C22⋊Q8—24no—
873C22⋊Q8—28no—
874C22⋊Q8—28no—
875C22⋊Q8—44no—
876C22⋊Q8—44no—
877C22⋊Q8—44no—
878C22⋊Q8—44no—
879C22⋊Q8—48no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884#121—24no—
885#121—24no—
886#120—28no—
887C4×Q8—24no—
888C4×Q8—24no—
889C4×Q8—44no—
890C4×Q8—44no—
891C4×Q8—44no—
892C4×Q8—44no—
893C4×Q8—44no—
894C4×Q8—44no—
895C4×Q8—44no—
896C4×Q8—44no—
897C4×D4—28no—
898C4×D4—28no—
899C4×D4—24no—
900C4×D4—24no—
901C4×D4—28no—
902C4×D4—28no—
903C4×D4—44no—
904C4×D4—44no—
905C4×D4—48no—
906C4×D4—48no—
907C4×D4—48no—
908#117—28no—
909#117—24no—
910#117—24no—
911#117—24no—
912#117—24no—
913#117—24no—
914#117—24no—
915#117—24no—
916#117—44no—
917#117—44no—
918#117—42no—
919#117—42no—
920#117—44no—
921#117—44no—
922C2×C4⋊C4—24no—
923C2×C4⋊C4—24no—
924C2×C4⋊C4—24no—
925C2×C4⋊C4—44no—
926C2×C4⋊C4—42no—
927C2×C4⋊C4—42no—
928C2×C4⋊C4—44no—
929C2×C4⋊C4—44no—
930C2×C4⋊C4—44no—
931C2×C4⋊C4—44no—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C22⋊C4—42no—
1009C2×C22⋊C4—44no—
1010C2×C22⋊C4—42no—
1011C2×C22⋊C4—44no—
1012C2×C22⋊C4—44no—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C42—28no—
1059C2×C42—24no—
1060C2×C42—24no—
1061C2×C42—44no—
1062C2×C42—44no—
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2411yescharacteristic
1100#95C2411yescharacteristic
1101#95C2411yescharacteristic
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174C24—22no—
1175C24—22no—
1176C24—22no—
1177C24—22no—
1178C24—41no—
1179C24—41no—
1180C24—41no—
1181C24C2511yescharacteristic
1182C24C2512yes—
1183C24C2511yescharacteristic
1184C24C2511yescharacteristic
1185#41—232no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—22no—
1189C2×Q8—24no—
1190C2×Q8—24no—
1191C2×Q8—22no—
1192C2×Q8—24no—
1193C2×Q8—24no—
1194C2×Q8—24no—
1195C2×Q8—42no—
1196C2×Q8—42no—
1197C2×Q8—42no—
1198C2×Q8—42no—
1199C2×Q8—42no—
1200C2×Q8—416no—
1201C2×Q8C2×#4114yes—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4C2×#4118yes—
1213C2×D4C2×#4114yes—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—22no—
1217C22×C4—24no—
1218C22×C4—22no—
1219C22×C4—24no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—41no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—41no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—416no—
1274C22×C4C2×#4118yes—
1275C22×C4C2×#4114yes—
1276C22×C4H(5,𝔽2)14yes—
1277C22×C42−1+414yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2514yes—
1283C22×C4C2514yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2512yes—
1295C22×C4C2514yes—
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2514yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—28no—
1320C4⋊C4—28no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—28no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—28no—
1393C22⋊C4—28no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—28no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—24no—
1408C22⋊C4—44no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C42—22no—
1431C42—24no—
1432C42—22no—
1433C42—24no—
1434C42—24no—
1435C42—22no—
1436C42—22no—
1437C42—24no—
1438C42—24no—
1439C42—22no—
1440C42—22no—
1441C42—22no—
1442C42—22no—
1443C42—24no—
1444C42—24no—
1445C42—24no—
1446C42—24no—
1447C42—42no—
1448C42—42no—
1449C42—44no—
1450C42—44no—
1451C42—44no—
1452C42—44no—
1453C42—44no—
1454C42—44no—
1455C42—44no—
1456C42—44no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—22no—
1464C23—21no—
1465C23—22no—
1466C23—21no—
1467C23—22no—
1468C23—22no—
1469C23—21no—
1470C23—22no—
1471C23—22no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—44no—
1481C23—44no—
1482C23—44no—
1483C23—44no—
1484C23—82no—
1485C23—82no—
1486C23—82no—
1487C23C22×#4114yes—
1488C23C22×#4112yes—
1489C23C2×H(5,𝔽2)12yes—
1490C23C2×2−1+412yes—
1491C23#58512yes—
1492C23C2611yescharacteristic
1493Q8—28no—
1494Q8—48no—
1495Q8—48no—
1496Q8—84no—
1497Q8—84no—
1498D4—216no—
1499D4—28no—
1500D4—48no—
1501D4—84no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—216no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—24no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—24no—
1531C2×C4—24no—
1532C2×C4—24no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—24no—
1548C2×C4—24no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—44no—
1589C2×C4—44no—
1590C2×C4—48no—
1591C2×C4—44no—
1592C2×C4—44no—
1593C2×C4—44no—
1594C2×C4—44no—
1595C2×C4—82no—
1596C2×C4—84no—
1597C2×C4—82no—
1598C2×C4—84no—
1599C2×C4—84no—
1600C2×C4—82no—
1601C2×C4—84no—
1602C2×C4—84no—
1603C2×C4—84no—
1604C2×C4—84no—
1605C2×C4—164no—
1606C2×C4—164no—
1607C2×C4#539116yes—
1608C2×C4C22×#4114yes—
1609C2×C4C22×#4112yes—
1610C2×C4C22×#4112yes—
1611C2×C4C2×H(5,𝔽2)12yes—
1612C2×C4C2×H(5,𝔽2)12yes—
1613C2×C4C2×2−1+412yes—
1614C2×C4C2×2−1+412yes—
1615C2×C4#58512yes—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—24no—
1623C22—22no—
1624C22—24no—
1625C22—22no—
1626C22—24no—
1627C22—22no—
1628C22—41no—
1629C22—42no—
1630C22—42no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—42no—
1635C22—42no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—88no—
1644C22C2×#53914yes—
1645C22C23×#4111yescharacteristic
1646C22C22×H(5,𝔽2)11yescharacteristic
1647C22C22×2−1+411yescharacteristic
1648C22C2×#58511yescharacteristic
1649C22C2×#58511yescharacteristic
1650C222−1+611yescharacteristic
1651C222−1+611yescharacteristic
1652C4—24no—
1653C4—22no—
1654C4—42no—
1655C4—41no—
1656C4—42no—
1657C4—41no—
1658C4—42no—
1659C4—42no—
1660C4—41no—
1661C4—42no—
1662C4—41no—
1663C4—42no—
1664C4—42no—
1665C4—44no—
1666C4—42no—
1667C4—41no—
1668C4—41no—
1669C4—44no—
1670C4—41no—
1671C4—42no—
1672C4—41no—
1673C4—44no—
1674C4—44no—
1675C4—42no—
1676C4—42no—
1677C4—42no—
1678C4—41no—
1679C4—42no—
1680C4—42no—
1681C4C2×#53914yes—
1682C4C2×#53914yes—
1683C2—24no—
1684C2—44no—
1685C2—42no—
1686C2—81no—
1687C2C22×#53911yescharacteristic
1688C2#6283111yescharacteristic
1689C2#6288911yescharacteristic
1690C2#6295411yescharacteristic
1691C2#6295411yescharacteristic
1692C2#6299311yescharacteristic
1693C2#6300911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42922C2semidirect
2. #42921C2semidirect
3. #42861C2semidirect
4. #42832C2semidirect
5. #42750C2semidirect
6. #42724C2semidirect
7. #42656C2semidirect
8. #42452C2semidirect
9. #41554C2semidirect
10. #40816C2semidirect
11. #40220C2semidirect
12. #40069C2semidirect
13. #39939C2semidirect
14. #39914C2semidirect
15. #39536C2semidirect
16. #39223C2semidirect
17. #39155C2semidirect
18. #38929C2semidirect
19. #38600C2semidirect
20. #38136C2semidirect
22. #35630C2semidirect
23. #35627C2semidirect
24. #35585C2semidirect
25. #35544C2semidirect
26. #35519C2semidirect
27. #35311C2semidirect
28. #35307C2semidirect
29. #35179C2semidirect
31. #34739C2semidirect
32. C2×#2421C2semidirect
33. #34266C2semidirect
35. #34184C2semidirect
48. #2855C22semidirect
49. #2855C22semidirect
50. #2839C22semidirect
52. #2835C22semidirect
54. #2810C22semidirect
55. #2805C22semidirect
56. #2802C22semidirect
57. #2802C22semidirect
59. #2789C22semidirect
60. #2787C22semidirect
68. #2770C22semidirect
69. #2769C22semidirect
70. #2767C22semidirect
71. #2767C22semidirect
73. #2747C22semidirect
75. #2745C22semidirect
77. #2744C22semidirect
78. #2739C22semidirect
79. #2738C22semidirect
84. #2690C22semidirect
86. #2666C22semidirect
87. #2655C22semidirect
88. #2655C22semidirect
91. #2652C22semidirect
92. #2652C22semidirect
95. #2646C22semidirect
101. #2625C22semidirect
102. #2625C22semidirect
104. #2590C22semidirect
105. #2588C22semidirect
106. #2585C22semidirect
107. #2582C22semidirect
108. #2582C22semidirect
109. #2582C22semidirect
110. #2581C22semidirect
111. #2581C22semidirect
112. #2581C22semidirect
113. #2580C22semidirect
115. #2571C22semidirect
116. #2571C22semidirect
117. #2570C22semidirect
118. #2570C22semidirect
120. #2568C22semidirect
121. #2567C22semidirect
122. #2565C22semidirect
123. #2565C22semidirect
125. #2538C22semidirect
127. #2517C22semidirect
128. #2514C22semidirect
129. #2514C22semidirect
130. #2514C22semidirect
131. #2514C22semidirect
132. #2511C22semidirect
133. #2511C22semidirect
134. #2511C22semidirect
135. #2511C22semidirect
136. #2509C22semidirect
137. #2509C22semidirect
138. #2509C22semidirect
139. #2509C22semidirect
140. #2508C22semidirect
141. #2508C22semidirect
142. #2508C22semidirect
143. #2508C22semidirect
144. #2507C22semidirect
145. #2507C22semidirect
146. #2506C22semidirect
147. #2506C22semidirect
165. #2493C22semidirect
166. #2493C22semidirect
175. #2447C22semidirect
176. #2447C22semidirect
177. #2446C22semidirect
178. #2446C22semidirect
182. #2442C22semidirect
185. #2441C22semidirect
188. #2440C22semidirect
191. #2439C22semidirect
233. #2367C22semidirect
234. #2367C22semidirect
235. #2365C22semidirect
236. #2365C22semidirect
237. #2362C22semidirect
238. #2362C22semidirect
239. #2360C22semidirect
240. #2360C22semidirect
246. #2351C22semidirect
247. #2351C22semidirect
250. #2349C22semidirect
251. #2349C22semidirect
253. #2336C22semidirect
255. #2329C22semidirect
265. #2317C22semidirect
266. #2317C22semidirect
290. #2285C22semidirect
292. C2×#382C22semidirect

Maximal subgroups

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

subgroupindex
#429222
#429212
#428612
#428322
#427502
#427242
#426562
#424522
#415542
#408162
#402202
#400692
#399392
#399142
#395362
#392232
#391552
#389292
#386002
#381362
#356332
#356302
#356272
#355852
#355442
#355192
#353112
#353072
#351792
#347422
#347392
C2×#24212
#342662
#342022
#341842