Finite Group Databasebeta

← #7650691

Subgroups — #7650691

Order 512.

4919 conjugacy classes of subgroups.

The subgroup lattice has 1715 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42750C212yesmaximal, complemented
2#42727C212yesmaximal, complemented
3#42724C212yesmaximal, complemented
4#42631C212yesmaximal, complemented
5#42622C212yesmaximal, complemented
6#42572C212yesmaximal, complemented
7#42559C212yesmaximal, complemented
8#42543C212yesmaximal, complemented
9#41426C214yesmaximal, complemented
10#40639C214yesmaximal, complemented
11#40172C212yesmaximal, complemented
12#40072C212yesmaximal, complemented
13#40069C212yesmaximal, complemented
14#40048C212yesmaximal, complemented
15#39536C212yesmaximal, complemented
16#39035C212yesmaximal, complemented
17#39031C212yesmaximal, complemented
18#39008C212yesmaximal, complemented
19#38109C214yesmaximal, complemented
20#37880C214yesmaximal, complemented
21#35672C211yesmaximal, characteristic, complemented
22#35662C211yesmaximal, characteristic, complemented
23#35630C211yesmaximal, characteristic, complemented
24#35626C211yesmaximal, characteristic, complemented
25#35543C211yesmaximal, characteristic, complemented
26#35540C211yesmaximal, characteristic
27#35311C211yesmaximal, characteristic, complemented
28#35265C211yesmaximal, characteristic, complemented
29#35172C211yesmaximal, characteristic, complemented
30#34814C211yesmaximal, characteristic, complemented
31#34739C211yesmaximal, characteristic, complemented
32C2×#2427C211yesmaximal, characteristic
33#34248C211yesmaximal, characteristic, complemented
34#34211C211yesmaximal, characteristic, complemented
35#34204C211yesmaximal, characteristic
36C2×#533C2211yescharacteristic
37C22×#124C2211yescharacteristic
38C22×C22⋊Q8C2211yescharacteristic
39C22×#121C2211yescharacteristic
40C2×#519C2211yescharacteristic
41C2×#518C2211yescharacteristic
42C2×#518C2211yescharacteristic
43C22×C4×D4C2211yescharacteristic
44C22×#117C2211yescharacteristic
45#2864C2212yescomplemented
46#2859C2212yescomplemented
47#2855C2212yescomplemented
48#2855C2212yescomplemented
49#2848C2214yes—
50#2835C2214yescomplemented
51#2834C2214yescomplemented
52#2827C2214yescomplemented
53#2827C2214yescomplemented
54#2796C2214yescomplemented
55#2787C2214yescomplemented
56#2787C2214yescomplemented
57#2786C2214yescomplemented
58#2782C2214yescomplemented
59#2770C2214yescomplemented
60#2770C2214yescomplemented
61#2757C2214yescomplemented
62#2750C2214yescomplemented
63#2747C2214yescomplemented
64#2747C2214yescomplemented
65#2746C2214yescomplemented
66#2746C2214yescomplemented
67#2745C2214yescomplemented
68#2745C2214yescomplemented
69#2744C2214yescomplemented
70#2744C2214yescomplemented
71#2743C2214yescomplemented
72#2740C2214yescomplemented
73#2739C2214yescomplemented
74#2739C2214yescomplemented
75#2738C2214yescomplemented
76#2738C2214yescomplemented
77#2737C2214yescomplemented
78#2728C2214yescomplemented
79#2723C2214yescomplemented
80#2707C2214yescomplemented
81#2695C2214yescomplemented
82#2694C2214yescomplemented
83#2690C2214yescomplemented
84#2690C2214yescomplemented
85#2687C2214yescomplemented
86#2653C2214yescomplemented
87#2652C2214yescomplemented
88#2652C2214yescomplemented
89#2652C2214yescomplemented
90#2652C2214yescomplemented
91#2649C2214yescomplemented
92#2647C2212yescomplemented
93#2647C2212yescomplemented
94#2646C2214yescomplemented
95#2643C2214yescomplemented
96#2638C2214yescomplemented
97#2633C2214yescomplemented
98#2627C2214yescomplemented
99#2626C2214yes—
100#2625C2212yescomplemented
101#2625C2212yescomplemented
102#2623C2214yescomplemented
103#2582C2212yescomplemented
104#2582C2212yescomplemented
105#2581C2212yescomplemented
106#2581C2212yescomplemented
107#2580C2212yescomplemented
108#2580C2212yescomplemented
109#2571C2212yescomplemented
110#2570C2212yescomplemented
111#2570C2212yescomplemented
112#2566C2212yescomplemented
113#2566C2212yescomplemented
114#2563C2212yescomplemented
115#2552C2212yescomplemented
116#2542C2212yescomplemented
117#2538C2212yescomplemented
118#2538C2212yescomplemented
119#2523C2214yescomplemented
120#2517C2214yescomplemented
121#2514C2212yescomplemented
122#2514C2212yescomplemented
123#2514C2212yescomplemented
124#2514C2212yescomplemented
125#2511C2212yescomplemented
126#2511C2212yescomplemented
127#2511C2212yescomplemented
128#2511C2212yescomplemented
129#2509C2212yescomplemented
130#2509C2212yescomplemented
131#2508C2212yescomplemented
132#2508C2212yescomplemented
133#2507C2212yescomplemented
134#2507C2212yescomplemented
135#2506C2212yescomplemented
136#2506C2212yescomplemented
137#2505C2214yes—
138#2505C2214yes—
139#2503C2212yescomplemented
140#2502C2212yescomplemented
141#2499C2212yescomplemented
142#2499C2212yescomplemented
143#2497C2211yescharacteristic, complemented
144#2497C2211yescharacteristic, complemented
145#2496C2211yescharacteristic, complemented
146#2496C2211yescharacteristic, complemented
147#2495C2211yescharacteristic, complemented
148#2495C2211yescharacteristic, complemented
149#2494C2211yescharacteristic, complemented
150#2494C2211yescharacteristic, complemented
151#2493C2214yes—
152#2493C2214yes—
153#2493C2212yes—
154#2493C2212yes—
155#2493C2214yescomplemented
156#2493C2214yescomplemented
157#2488C2214yescomplemented
158#2484C2214yes—
159#2484C2214yes—
160#2483C2214yes—
161#2483C2214yes—
162#2483C2214yes—
163#2483C2214yes—
164#2482C2214yes—
165#2481C2214yescomplemented
166#2480C2212yes—
167#2480C2212yes—
168#2473C2214yes—
169#2473C2214yes—
170#2473C2214yescomplemented
171#2473C2214yescomplemented
172#2466C2214yescomplemented
173#2460C2214yescomplemented
174#2453C2212yescomplemented
175#2453C2212yescomplemented
176#2451C2212yescomplemented
177#2451C2212yescomplemented
178#2449C2214yescomplemented
179#2447C2212yescomplemented
180#2447C2212yescomplemented
181#2447C2212yescomplemented
182#2447C2212yescomplemented
183#2447C2212yescomplemented
184#2447C2212yescomplemented
185#2447C2212yescomplemented
186#2447C2212yescomplemented
187#2442C2211yescharacteristic, complemented
188#2442C2211yescharacteristic, complemented
189#2441C2211yescharacteristic, complemented
190#2441C2211yescharacteristic, complemented
191#2440C2211yescharacteristic, complemented
192#2440C2211yescharacteristic, complemented
193#2439C2211yescharacteristic, complemented
194#2439C2211yescharacteristic, complemented
195#2438C2214yes—
196#2438C2214yes—
197#2438C2212yes—
198#2438C2212yes—
199#2437C2212yes—
200#2437C2212yes—
201#2427C2212yes—
202#2427C2212yes—
203#2427C2212yes—
204#2427C2212yes—
205#2427C2212yes—
206#2427C2212yes—
207#2427C2212yes—
208#2427C2212yes—
209#2423C2212yescomplemented
210#2423C2212yescomplemented
211#2423C2212yescomplemented
212#2423C2212yescomplemented
213#2422C2212yes—
214#2422C2212yes—
215#2422C2212yes—
216#2422C2212yes—
217#2421C2212yescomplemented
218#2421C2212yescomplemented
219#2421C2212yescomplemented
220#2421C2212yescomplemented
221#2420C2212yes—
222#2420C2212yes—
223#2420C2212yes—
224#2420C2212yes—
225#2419C2214yescomplemented
226#2405C2214yes—
227#2401C2212yescomplemented
228#2401C2212yescomplemented
229#2396C2212yescomplemented
230#2396C2212yescomplemented
231C2×#397C2212yes—
232C2×#394C2212yes—
233#2367C2212yescomplemented
234#2367C2212yescomplemented
235#2367C2212yescomplemented
236#2367C2212yescomplemented
237#2363C2212yes—
238#2363C2212yes—
239#2361C2212yes—
240#2361C2212yes—
241#2349C2212yescomplemented
242#2349C2212yescomplemented
243#2349C2212yescomplemented
244#2349C2212yescomplemented
245D4×C4⋊C4C2212yescomplemented
246D4×C4⋊C4C2212yescomplemented
247D4×C4⋊C4C2212yescomplemented
248D4×C4⋊C4C2212yescomplemented
249#2342C2214yes—
250#2342C2214yes—
251#2342C2214yes—
252D4×C22⋊C4C2214yes—
253#2329C2214yescomplemented
254#2326C2212yescomplemented
255#2326C2212yescomplemented
256#2324C2212yes—
257#2324C2212yes—
258#2322C2214yescomplemented
259#2318C2214yescomplemented
260#2317C2211yescharacteristic
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2317C2211yescharacteristic
264#2317C2211yescharacteristic
265#2317C2211yescharacteristic
266#2316C2211yescharacteristic
267#2315C2214yes—
268#2313C2214yescomplemented
269#2310C2211yescharacteristic
270#2310C2211yescharacteristic
271#2310C2211yescharacteristic
272#2309C2211yescharacteristic
273#2309C2211yescharacteristic
274C4×#126C2212yescomplemented
275C4×#126C2212yescomplemented
276C4×#124C2212yescomplemented
277C4×#124C2212yescomplemented
278C4×C22⋊Q8C2212yescomplemented
279C4×C22⋊Q8C2212yescomplemented
280C4×#121C2212yes—
281C4×#121C2212yes—
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284#2296C2211yescharacteristic
285#2296C2211yescharacteristic
286C2×#391C2211yescharacteristic
287C2×#389C2211yescharacteristic
288C2×#386C2212yes—
289C2×#385C2214yes—
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292#2280C2211yescharacteristic
293#2280C2211yescharacteristic
294#2280C2211yescharacteristic
295C2×#380C2212yes—
296#2274C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C23×Q8C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C23×D4C2312yes—
302C24×C4C2311yescharacteristic
303C24×C4C2312yes—
304#533—44no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×#126C2312yes—
308C2×#126C2312yes—
309C2×#125C2311yescharacteristic
310C2×#125C2311yescharacteristic
311C2×#125C2314yes—
312C2×#125C2314yes—
313C2×#124—28no—
314C2×#124C2312yes—
315C2×#124C2312yes—
316C2×#124C2312yes—
317C2×#124C2312yes—
318C2×#123C2314yes—
319C2×#123C2314yes—
320C2×C22⋊Q8—44no—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2314yes—
331C2×#121—28no—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336#519—44no—
337#518—28no—
338#518—44no—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×D4—44no—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2314yes—
360C2×#117—44no—
361C2×#117C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2314yes—
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2314yes—
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2311yescharacteristic
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2314yes—
381C22×C4⋊C4C2312yes—
382C22×C22⋊C4C2314yes—
383C22×C22⋊C4C2312yes—
384C22×C22⋊C4C2312yes—
385C22×C22⋊C4C2312yes—
386C22×C22⋊C4C2312yes—
387C22×C22⋊C4C2314yes—
388C22×C22⋊C4C2312yes—
389C22×C22⋊C4C2311yescharacteristic
390C22×C22⋊C4C2312yes—
391C22×C22⋊C4C2311yescharacteristic
392C22×C42C2311yescharacteristic
393C22×C42C2311yescharacteristic
394C22×C42C2312yes—
395#401C2312yes—
396#401C2314yes—
397#401C2314yes—
398#401C2312yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2312yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2312yes—
417#400C2314yes—
418#400C2314yes—
419#400C2312yes—
420#400C2314yes—
421#400C2312yes—
422#400C2312yes—
423#400C2312yes—
424#400C2312yes—
425#400C2314yes—
426#400C2312yes—
427#399C2312yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2312yes—
432#399C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2312yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2312yes—
450#398C2312yes—
451#398C2312yes—
452#398C2314yes—
453#397C2312yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2312yes—
465#397C2314yes—
466#397C2314yes—
467#397C2312yes—
468#397C2312yes—
469#397C2314yes—
470#397C2312yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2312yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2312yes—
486#396C2312yes—
487#396C2312yes—
488#396C2312yes—
489#396C2312yes—
490#396C2312yes—
491#395C2312yes—
492#395C2314yes—
493#395C2314yes—
494#395C2312yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2312yes—
506#393C2312yes—
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#391C2312yes—
520#391C2312yes—
521#391C2314yes—
522#391C2314yes—
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2314yes—
536#390C2314yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
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#389C2314yes—
557#389C2314yes—
558#389C2311yescharacteristic
559#389C2311yescharacteristic
560#389C2311yescharacteristic
561#389C2311yescharacteristic
562#389C2314yes—
563#389C2314yes—
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2312yes—
573#389C2314yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2311yescharacteristic
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#387C2312yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
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#387C2314yes—
637#387C2312yes—
638#387C2312yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2312yes—
654#385C2312yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2312yes—
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#385C2312yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2312yes—
686#385C2312yes—
687#385C2312yes—
688#385C2312yes—
689#385C2312yes—
690#385C2312yes—
691#385C2312yes—
692#385C2312yes—
693#384C2312yes—
694#384C2312yes—
695#384C2311yescharacteristic
696#384C2312yes—
697#384C2312yes—
698#384C2312yes—
699#384C2312yes—
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#384C2311yescharacteristic
703#383C2312yes—
704#383C2312yes—
705#383C2314yes—
706#383C2314yes—
707#382C2312yes—
708#382C2312yes—
709#382C2311yescharacteristic
710#382C2312yes—
711#382C2311yescharacteristic
712#382C2314yes—
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#382C2311yescharacteristic
717#382C2311yescharacteristic
718#382C2314yes—
719#381C2314yes—
720#381C2314yes—
721#381C2314yes—
722#381C2314yes—
723#381C2314yes—
724#381C2314yes—
725#381C2314yes—
726#381C2312yes—
727#381C2314yes—
728#381C2314yes—
729#381C2314yes—
730#381C2314yes—
731#381C2312yes—
732#381C2312yes—
733#380C2314yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2312yes—
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#380C2311yescharacteristic
751#380C2312yes—
752#380C2314yes—
753#380C2311yescharacteristic
754#380C2311yescharacteristic
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759#380C2314yes—
760#380C2314yes—
761#380C2312yes—
762#379C2314yes—
763#379C2314yes—
764#379C2312yes—
765#379C2312yes—
766#379C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810#376C2312yes—
811C2×#95C2314yes—
812C2×#95C2314yes—
813C2×#95C2312yes—
814C2×#95C2311yescharacteristic
815C2×#95C2312yes—
816C2×#95C2311yescharacteristic
817C2×#95C2312yes—
818C43C2312yes—
819C25C2411yescharacteristic
820C25C2412yes—
821C22×Q8—24no—
822C22×Q8—24no—
823C22×Q8—24no—
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×D4—28no—
829C22×D4—24no—
830C22×D4—24no—
831C22×D4—44no—
832C22×D4—82no—
833C22×D4#4118yes—
834C22×D4C2414yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2414yes—
838C23×C4—24no—
839C23×C4—24no—
840C23×C4—24no—
841C23×C4—44no—
842C23×C4—44no—
843C23×C4—82no—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2414yes—
858C23×C4C2414yes—
859C23×C4C2414yes—
860C23×C4C2414yes—
861C23×C4C2412yes—
862C23×C4C2414yes—
863C23×C4C2414yes—
864C23×C4C2411yescharacteristic
865C4⋊Q8—42no—
866C4⋊Q8—42no—
867#126—44no—
868#126—44no—
869#125—42no—
870#125—42no—
871#125—84no—
872#125—84no—
873#124—28no—
874#124—28no—
875#124—28no—
876#124—28no—
877#123—48no—
878#123—84no—
879C22⋊Q8—44no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884C22⋊Q8—44no—
885C22⋊Q8—44no—
886C22⋊Q8—44no—
887C22⋊Q8—48no—
888C22⋊Q8—84no—
889#121—28no—
890#121—28no—
891#121—28no—
892#121—28no—
893C4×Q8—44no—
894C4×Q8—44no—
895C4×Q8—44no—
896C4×Q8—44no—
897C4×Q8—44no—
898C4×Q8—44no—
899C4×D4—28no—
900C4×D4—28no—
901C4×D4—28no—
902C4×D4—28no—
903C4×D4—44no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—48no—
912C4×D4—84no—
913#117—24no—
914#117—24no—
915#117—24no—
916#117—24no—
917#117—24no—
918#117—24no—
919#117—24no—
920#117—24no—
921#117—44no—
922#117—44no—
923#117—48no—
924#117—42no—
925#117—42no—
926C2×C4⋊C4—24no—
927C2×C4⋊C4—24no—
928C2×C4⋊C4—48no—
929C2×C4⋊C4—42no—
930C2×C4⋊C4—42no—
931C2×C4⋊C4—44no—
932C2×C4⋊C4—84no—
933C2×C4⋊C4—82no—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C22⋊C4—216no—
1007C2×C22⋊C4—28no—
1008C2×C22⋊C4—28no—
1009C2×C22⋊C4—28no—
1010C2×C22⋊C4—42no—
1011C2×C22⋊C4—42no—
1012C2×C22⋊C4—44no—
1013C2×C22⋊C4—48no—
1014C2×C22⋊C4—44no—
1015C2×C22⋊C4—44no—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2411yescharacteristic
1049C2×C22⋊C4C2411yescharacteristic
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C42—24no—
1069C2×C42—24no—
1070C2×C42—44no—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2411yescharacteristic
1102#95C2411yescharacteristic
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179C24—24no—
1180C24—24no—
1181C24—22no—
1182C24—22no—
1183C24—22no—
1184C24—22no—
1185C24—41no—
1186C24—42no—
1187C24—42no—
1188C24—42no—
1189C24—41no—
1190C24—42no—
1191C24—41no—
1192C24C2×#4118yes—
1193C24C2511yescharacteristic
1194C24C2514yes—
1195C24C2511yescharacteristic
1196C24C2511yescharacteristic
1197C2×Q8—24no—
1198C2×Q8—24no—
1199C2×Q8—24no—
1200C2×Q8—24no—
1201C2×Q8—24no—
1202C2×Q8—24no—
1203C2×Q8—24no—
1204C2×Q8—42no—
1205C2×Q8—42no—
1206C2×Q8—42no—
1207C2×Q8—42no—
1208C2×Q8—42no—
1209C2×Q8—416no—
1210C2×D4—28no—
1211C2×D4—28no—
1212C2×D4—28no—
1213C2×D4—232no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—816no—
1222C2×D4C2×#4118yes—
1223C2×D4C2×#4118yes—
1224C22×C4—22no—
1225C22×C4—24no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—28no—
1236C22×C4—28no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—28no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—41no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—44no—
1262C22×C4—41no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—42no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—41no—
1274C22×C4—42no—
1275C22×C4—44no—
1276C22×C4—41no—
1277C22×C4—42no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—416no—
1285C22×C4—816no—
1286C22×C4C2×#4114yes—
1287C22×C4H(5,𝔽2)14yes—
1288C22×C42−1+414yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2514yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2514yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2514yes—
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
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—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—44no—
1378C4⋊C4—42no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—28no—
1395C22⋊C4—28no—
1396C22⋊C4—28no—
1397C22⋊C4—28no—
1398C22⋊C4—28no—
1399C22⋊C4—28no—
1400C22⋊C4—28no—
1401C22⋊C4—28no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—42no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C42—22no—
1445C42—22no—
1446C42—22no—
1447C42—22no—
1448C42—24no—
1449C42—24no—
1450C42—22no—
1451C42—22no—
1452C42—22no—
1453C42—22no—
1454C42—24no—
1455C42—24no—
1456C42—24no—
1457C42—24no—
1458C42—24no—
1459C42—24no—
1460C42—42no—
1461C42—42no—
1462C42—42no—
1463C42—44no—
1464C42—44no—
1465C42—44no—
1466C42—44no—
1467C42—42no—
1468C42—42no—
1469C42—42no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—24no—
1477C23—21no—
1478C23—24no—
1479C23—21no—
1480C23—24no—
1481C23—24no—
1482C23—24no—
1483C23—21no—
1484C23—24no—
1485C23—21no—
1486C23—216no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—48no—
1495C23—48no—
1496C23—44no—
1497C23—44no—
1498C23—44no—
1499C23—44no—
1500C23—84no—
1501C23—82no—
1502C23—84no—
1503C23—84no—
1504C23—82no—
1505C23—82no—
1506C23—84no—
1507C23C22×#4118yes—
1508C23C22×#4112yes—
1509C23C2×H(5,𝔽2)12yes—
1510C23C2×2−1+412yes—
1511C23#58512yes—
1512C23C2611yescharacteristic
1513Q8—48no—
1514Q8—48no—
1515Q8—84no—
1516Q8—84no—
1517D4—216no—
1518D4—216no—
1519D4—416no—
1520D4—88no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—24no—
1534C2×C4—24no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—24no—
1548C2×C4—24no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—24no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—24no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—44no—
1608C2×C4—48no—
1609C2×C4—44no—
1610C2×C4—48no—
1611C2×C4—44no—
1612C2×C4—44no—
1613C2×C4—44no—
1614C2×C4—44no—
1615C2×C4—88no—
1616C2×C4—82no—
1617C2×C4—88no—
1618C2×C4—82no—
1619C2×C4—88no—
1620C2×C4—82no—
1621C2×C4—84no—
1622C2×C4—84no—
1623C2×C4—84no—
1624C2×C4—88no—
1625C2×C4—164no—
1626C2×C4—164no—
1627C2×C4#539116yes—
1628C2×C4C22×#4112yes—
1629C2×C4C22×#4112yes—
1630C2×C4C2×H(5,𝔽2)12yes—
1631C2×C4C2×H(5,𝔽2)12yes—
1632C2×C4C2×2−1+412yes—
1633C2×C4C2×2−1+412yes—
1634C2×C4#58512yes—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—28no—
1642C22—22no—
1643C22—28no—
1644C22—22no—
1645C22—28no—
1646C22—22no—
1647C22—41no—
1648C22—44no—
1649C22—41no—
1650C22—44no—
1651C22—44no—
1652C22—41no—
1653C22—41no—
1654C22—44no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—816no—
1663C22—88no—
1664C22C2×#53914yes—
1665C22C23×#4111yescharacteristic
1666C22C22×H(5,𝔽2)11yescharacteristic
1667C22C22×2−1+411yescharacteristic
1668C22C2×#58511yescharacteristic
1669C22C2×#58511yescharacteristic
1670C22H(7,𝔽2)11yescharacteristic
1671C222−1+611yescharacteristic
1672C4—22no—
1673C4—41no—
1674C4—41no—
1675C4—42no—
1676C4—42no—
1677C4—44no—
1678C4—41no—
1679C4—41no—
1680C4—42no—
1681C4—42no—
1682C4—42no—
1683C4—42no—
1684C4—42no—
1685C4—42no—
1686C4—44no—
1687C4—41no—
1688C4—42no—
1689C4—42no—
1690C4—42no—
1691C4—42no—
1692C4—41no—
1693C4—41no—
1694C4—44no—
1695C4—41no—
1696C4—42no—
1697C4—42no—
1698C4—41no—
1699C4—42no—
1700C4—42no—
1701C4C2×#53914yes—
1702C4C2×#53914yes—
1703C2—24no—
1704C2—48no—
1705C2—42no—
1706C2—81no—
1707C2C22×#53911yescharacteristic
1708C2#6283111yescharacteristic
1709C2#6287911yescharacteristic
1710C2#6292411yescharacteristic
1711C2#6295411yescharacteristic
1712C2#6299011yescharacteristic
1713C2#6299111yescharacteristic
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. #42750C2semidirect
2. #42727C2semidirect
3. #42724C2semidirect
4. #42631C2semidirect
5. #42622C2semidirect
6. #42572C2semidirect
7. #42559C2semidirect
8. #42543C2semidirect
9. #41426C2semidirect
10. #40639C2semidirect
11. #40172C2semidirect
12. #40072C2semidirect
13. #40069C2semidirect
14. #40048C2semidirect
15. #39536C2semidirect
16. #39035C2semidirect
17. #39031C2semidirect
18. #39008C2semidirect
19. #38109C2semidirect
20. #37880C2semidirect
21. #35672C2semidirect
22. #35662C2semidirect
23. #35630C2semidirect
24. #35626C2semidirect
25. #35543C2semidirect
27. #35311C2semidirect
28. #35265C2semidirect
29. #35172C2semidirect
30. #34814C2semidirect
31. #34739C2semidirect
33. #34248C2semidirect
34. #34211C2semidirect
45. #2864C22semidirect
46. #2859C22semidirect
47. #2855C22semidirect
48. #2855C22semidirect
50. #2835C22semidirect
51. #2834C22semidirect
52. #2827C22semidirect
53. #2827C22semidirect
54. #2796C22semidirect
55. #2787C22semidirect
56. #2787C22semidirect
57. #2786C22semidirect
58. #2782C22semidirect
59. #2770C22semidirect
60. #2770C22semidirect
61. #2757C22semidirect
62. #2750C22semidirect
63. #2747C22semidirect
64. #2747C22semidirect
65. #2746C22semidirect
66. #2746C22semidirect
67. #2745C22semidirect
68. #2745C22semidirect
69. #2744C22semidirect
70. #2744C22semidirect
71. #2743C22semidirect
72. #2740C22semidirect
73. #2739C22semidirect
74. #2739C22semidirect
75. #2738C22semidirect
76. #2738C22semidirect
77. #2737C22semidirect
78. #2728C22semidirect
79. #2723C22semidirect
80. #2707C22semidirect
81. #2695C22semidirect
82. #2694C22semidirect
83. #2690C22semidirect
84. #2690C22semidirect
85. #2687C22semidirect
86. #2653C22semidirect
87. #2652C22semidirect
88. #2652C22semidirect
89. #2652C22semidirect
90. #2652C22semidirect
91. #2649C22semidirect
92. #2647C22semidirect
93. #2647C22semidirect
94. #2646C22semidirect
95. #2643C22semidirect
96. #2638C22semidirect
97. #2633C22semidirect
98. #2627C22semidirect
100. #2625C22semidirect
101. #2625C22semidirect
102. #2623C22semidirect
103. #2582C22semidirect
104. #2582C22semidirect
105. #2581C22semidirect
106. #2581C22semidirect
107. #2580C22semidirect
108. #2580C22semidirect
109. #2571C22semidirect
110. #2570C22semidirect
111. #2570C22semidirect
112. #2566C22semidirect
113. #2566C22semidirect
114. #2563C22semidirect
115. #2552C22semidirect
116. #2542C22semidirect
117. #2538C22semidirect
118. #2538C22semidirect
119. #2523C22semidirect
120. #2517C22semidirect
121. #2514C22semidirect
122. #2514C22semidirect
123. #2514C22semidirect
124. #2514C22semidirect
125. #2511C22semidirect
126. #2511C22semidirect
127. #2511C22semidirect
128. #2511C22semidirect
129. #2509C22semidirect
130. #2509C22semidirect
131. #2508C22semidirect
132. #2508C22semidirect
133. #2507C22semidirect
134. #2507C22semidirect
135. #2506C22semidirect
136. #2506C22semidirect
139. #2503C22semidirect
140. #2502C22semidirect
141. #2499C22semidirect
142. #2499C22semidirect
143. #2497C22semidirect
144. #2497C22semidirect
145. #2496C22semidirect
146. #2496C22semidirect
147. #2495C22semidirect
148. #2495C22semidirect
149. #2494C22semidirect
150. #2494C22semidirect
155. #2493C22semidirect
156. #2493C22semidirect
157. #2488C22semidirect
165. #2481C22semidirect
170. #2473C22semidirect
171. #2473C22semidirect
172. #2466C22semidirect
173. #2460C22semidirect
174. #2453C22semidirect
175. #2453C22semidirect
176. #2451C22semidirect
177. #2451C22semidirect
178. #2449C22semidirect
179. #2447C22semidirect
180. #2447C22semidirect
181. #2447C22semidirect
182. #2447C22semidirect
183. #2447C22semidirect
184. #2447C22semidirect
185. #2447C22semidirect
186. #2447C22semidirect
187. #2442C22semidirect
188. #2442C22semidirect
189. #2441C22semidirect
190. #2441C22semidirect
191. #2440C22semidirect
192. #2440C22semidirect
193. #2439C22semidirect
194. #2439C22semidirect
209. #2423C22semidirect
210. #2423C22semidirect
211. #2423C22semidirect
212. #2423C22semidirect
217. #2421C22semidirect
218. #2421C22semidirect
219. #2421C22semidirect
220. #2421C22semidirect
225. #2419C22semidirect
227. #2401C22semidirect
228. #2401C22semidirect
229. #2396C22semidirect
230. #2396C22semidirect
233. #2367C22semidirect
234. #2367C22semidirect
235. #2367C22semidirect
236. #2367C22semidirect
241. #2349C22semidirect
242. #2349C22semidirect
243. #2349C22semidirect
244. #2349C22semidirect
245. D4×C4⋊C4C22semidirect
246. D4×C4⋊C4C22semidirect
247. D4×C4⋊C4C22semidirect
248. D4×C4⋊C4C22semidirect
253. #2329C22semidirect
254. #2326C22semidirect
255. #2326C22semidirect
258. #2322C22semidirect
259. #2318C22semidirect
268. #2313C22semidirect
274. C4×#126C22semidirect
275. C4×#126C22semidirect
276. C4×#124C22semidirect
277. C4×#124C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×C22⋊Q8C22semidirect

Maximal subgroups

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

subgroupindex
#427502
#427272
#427242
#426312
#426222
#425722
#425592
#425432
#414262
#406392
#401722
#400722
#400692
#400482
#395362
#390352
#390312
#390082
#381092
#378802
#356722
#356622
#356302
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C2×#24272
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