Finite Group Databasebeta

← #7671706

Subgroups — #7671706

Order 512.

4828 conjugacy classes of subgroups.

The subgroup lattice has 1663 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59895C212yesmaximal, complemented
2#59893C212yesmaximal, complemented
3#59890C214yesmaximal, complemented
4#59868C212yesmaximal, complemented
5#59862C212yesmaximal
6#59422C214yesmaximal, complemented
7#39553C212yesmaximal, complemented
8#39545C212yesmaximal, complemented
9#39515C211yesmaximal, characteristic, complemented
10#39506C211yesmaximal, characteristic, complemented
11#39498C211yesmaximal, characteristic, complemented
12#39490C211yesmaximal, characteristic, complemented
13#38471C214yesmaximal, complemented
14#38469C214yesmaximal, complemented
15#36635C211yesmaximal, characteristic, complemented
16#36395C212yesmaximal, complemented
17#36394C212yesmaximal, complemented
18#36307C212yesmaximal, complemented
19#36293C212yesmaximal
20#36207C212yesmaximal, complemented
21#36193C211yesmaximal, characteristic, complemented
22#36177C211yesmaximal, characteristic, complemented
23#36167C212yesmaximal, complemented
24#36161C211yesmaximal, characteristic
25#36154C211yesmaximal, characteristic
26#35653C212yesmaximal, complemented
27#35652C212yesmaximal, complemented
28#35325C212yesmaximal, complemented
29#35185C211yesmaximal, characteristic, complemented
30#35184C211yesmaximal, characteristic, complemented
31#34322C211yesmaximal, characteristic, complemented
32#34317C211yesmaximal, characteristic, complemented
33#34180C212yesmaximal, complemented
34C4×#533C211yesmaximal, characteristic, complemented
35C2×#2293C211yesmaximal, characteristic
36C2×#556C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C22×C4×D4C2211yescharacteristic
40C22×#117C2212yes—
41#2864C2212yescomplemented
42#2864C2212yescomplemented
43#2863C2212yescomplemented
44#2863C2212yescomplemented
45#2863C2212yescomplemented
46#2862C2211yescharacteristic, complemented
47#2861C2212yes—
48#2860C2212yes—
49#2859C2211yescharacteristic, complemented
50#2857C2211yescharacteristic
51#2857C2211yescharacteristic
52#2855C2212yes—
53#2855C2212yes—
54#2855C2212yes—
55#2855C2212yes—
56#2851C2212yes—
57#2848C2212yes—
58#2848C2212yes—
59#2807C2214yescomplemented
60#2802C2214yescomplemented
61#2798C2214yescomplemented
62#2796C2214yes—
63#2788C2214yescomplemented
64#2787C2214yescomplemented
65#2783C2214yescomplemented
66#2783C2214yescomplemented
67#2777C2214yescomplemented
68#2774C2214yescomplemented
69#2773C2214yescomplemented
70#2771C2214yescomplemented
71#2759C2214yescomplemented
72#2751C2214yes—
73#2689C2214yescomplemented
74#2689C2214yescomplemented
75#2654C2214yescomplemented
76#2650C2214yescomplemented
77#2628C2212yescomplemented
78#2628C2212yescomplemented
79#2621C2212yescomplemented
80#2621C2212yescomplemented
81#2611C2214yescomplemented
82#2611C2214yescomplemented
83#2604C2214yescomplemented
84#2599C2214yescomplemented
85#2599C2214yescomplemented
86#2599C2214yescomplemented
87#2597C2214yes—
88#2596C2214yescomplemented
89#2596C2214yescomplemented
90#2595C2214yes—
91#2594C2214yescomplemented
92#2594C2214yescomplemented
93#2592C2212yes—
94#2590C2214yescomplemented
95#2585C2214yescomplemented
96#2584C2212yescomplemented
97#2583C2214yes—
98#2581C2212yescomplemented
99#2580C2212yes—
100#2577C2214yescomplemented
101#2577C2214yescomplemented
102#2577C2214yescomplemented
103#2575C2214yescomplemented
104#2575C2214yescomplemented
105#2573C2214yescomplemented
106#2571C2211yescharacteristic, complemented
107#2568C2211yescharacteristic, complemented
108#2567C2211yescharacteristic, complemented
109#2563C2211yescharacteristic
110#2561C2214yes—
111#2552C2211yescharacteristic, complemented
112#2547C2211yescharacteristic
113#2538C2211yescharacteristic
114#2538C2211yescharacteristic
115#2533C2214yescomplemented
116#2533C2214yescomplemented
117#2533C2214yescomplemented
118#2531C2214yes—
119#2530C2214yescomplemented
120#2528C2214yescomplemented
121#2526C2214yes—
122#2525C2214yescomplemented
123#2525C2214yescomplemented
124#2520C2214yescomplemented
125#2517C2214yescomplemented
126#2516C2214yes—
127#2515C2214yescomplemented
128#2514C2212yescomplemented
129#2514C2212yescomplemented
130#2514C2212yescomplemented
131#2513C2212yes—
132#2513C2212yes—
133#2513C2212yes—
134#2511C2212yescomplemented
135#2509C2212yescomplemented
136#2509C2214yescomplemented
137#2509C2212yescomplemented
138#2509C2212yescomplemented
139#2508C2212yescomplemented
140#2508C2212yescomplemented
141#2508C2212yescomplemented
142#2507C2212yescomplemented
143#2505C2214yes—
144#2505C2214yes—
145#2503C2212yes—
146#2503C2212yescomplemented
147#2499C2212yescomplemented
148#2496C2212yescomplemented
149#2495C2212yescomplemented
150#2495C2212yescomplemented
151#2494C2214yescomplemented
152#2494C2212yescomplemented
153#2493C2214yes—
154#2493C2214yes—
155#2493C2214yescomplemented
156#2489C2212yescomplemented
157#2489C2212yescomplemented
158#2487C2212yes—
159#2485C2212yes—
160#2484C2214yes—
161#2483C2214yes—
162#2482C2214yes—
163#2482C2214yes—
164#2480C2214yes—
165#2480C2214yes—
166#2479C2214yes—
167#2469C2214yescomplemented
168#2466C2214yes—
169#2454C2212yes—
170#2454C2212yes—
171#2453C2212yescomplemented
172#2453C2212yescomplemented
173#2453C2212yescomplemented
174#2450C2214yes—
175#2448C2212yes—
176#2448C2212yes—
177#2447C2212yes—
178#2447C2212yes—
179#2447C2212yes—
180#2442C2212yes—
181#2442C2212yes—
182#2442C2212yescomplemented
183#2441C2212yescomplemented
184#2438C2214yes—
185#2437C2214yes—
186#2435C2212yes—
187#2423C2212yescomplemented
188#2421C2212yescomplemented
189#2417C2212yes—
190#2415C2212yes—
191#2373C2214yescomplemented
192#2373C2214yescomplemented
193#2370C2212yescomplemented
194#2370C2212yescomplemented
195#2369C2211yescharacteristic, complemented
196#2367C2212yes—
197#2367C2212yes—
198#2365C2211yescharacteristic, complemented
199#2362C2214yescomplemented
200#2362C2212yescomplemented
201#2360C2212yes—
202#2360C2212yes—
203#2360C2212yescomplemented
204#2357C2212yes—
205#2356C2212yescomplemented
206#2355C2211yescharacteristic, complemented
207#2355C2211yescharacteristic, complemented
208#2354C2211yescharacteristic
209#2351C2212yescomplemented
210#2349C2212yes—
211D4×C4⋊C4C2211yescharacteristic
212#2347C2214yescomplemented
213#2346C2212yescomplemented
214#2346C2214yescomplemented
215#2345C2214yes—
216#2344C2214yes—
217#2344C2212yes—
218#2344C2212yescomplemented
219#2343C2214yes—
220#2343C2214yescomplemented
221#2343C2214yescomplemented
222#2343C2214yescomplemented
223#2342C2214yes—
224#2342C2214yes—
225#2342C2214yes—
226D4×C22⋊C4C2212yes—
227#2334C2214yescomplemented
228#2332C2214yescomplemented
229#2323C2212yescomplemented
230#2323C2212yescomplemented
231#2323C2212yescomplemented
232#2323C2212yescomplemented
233#2317C2212yescomplemented
234#2317C2212yescomplemented
235#2314C2212yescomplemented
236#2314C2212yescomplemented
237#2314C2212yescomplemented
238#2314C2212yescomplemented
239C4×C4⋊Q8C2211yescharacteristic, complemented
240C4×C4⋊Q8C2211yescharacteristic, complemented
241C4×C4⋊Q8C2211yescharacteristic, complemented
242C4×C4⋊Q8C2211yescharacteristic, complemented
243C4×C4⋊Q8C2211yescharacteristic, complemented
244C4×C4⋊Q8C2211yescharacteristic, complemented
245C4×#125C2212yescomplemented
246C4×#125C2212yescomplemented
247C4×#125C2212yescomplemented
248C4×#125C2212yescomplemented
249C4×#124C2212yes—
250C4×C22⋊Q8C2212yes—
251C4×C22⋊Q8C2212yes—
252C4×C22⋊Q8C2212yes—
253C4×C22⋊Q8C2211yescharacteristic
254C4×C22⋊Q8C2211yescharacteristic
255C4×C22⋊Q8C2211yescharacteristic
256C4×C22⋊Q8C2211yescharacteristic
257C4×C22⋊Q8C2212yes—
258#2296C2212yes—
259#2295C2212yescomplemented
260#2295C2212yescomplemented
261#2295C2212yescomplemented
262#2295C2211yescharacteristic, complemented
263#2295C2211yescharacteristic, complemented
264#2295C2212yescomplemented
265#2293C2211yescharacteristic
266#2293C2212yes—
267#2293C2211yescharacteristic
268#2293C2211yescharacteristic
269#2293C2211yescharacteristic
270#2293C2212yes—
271#2293C2212yes—
272#2293C2211yescharacteristic
273#2293C2211yescharacteristic
274#2293C2212yes—
275#2293C2212yes—
276#2293C2211yescharacteristic
277#2293C2211yescharacteristic
278C2×#390C2211yescharacteristic
279C2×#390C2211yescharacteristic
280C2×#389C2211yescharacteristic
281C2×#389C2211yescharacteristic
282C2×#388C2212yes—
283C2×#388C2212yes—
284#2285C2212yes—
285#2285C2211yescharacteristic
286#2283C2212yes—
287#2283C2212yes—
288#2280C2212yes—
289C2×#380C2212yes—
290#2274C2212yescomplemented
291#2274C2212yescomplemented
292C42×Q8C2211yescharacteristic, complemented
293C42×Q8C2211yescharacteristic, complemented
294C42×Q8C2212yescomplemented
295C4×#117C2212yes—
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C22⋊C4C2212yes—
298C2×C43C2211yescharacteristic
299C23×D4C2311yescharacteristic
300C24×C4C2312yes—
301#556—28no—
302#554—28no—
303#533—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×#126C2314yes—
309C2×#126C2314yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#124C2312yes—
315C2×#124C2312yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2314yes—
320C2×C22⋊Q8C2311yescharacteristic
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C4×Q8C2311yescharacteristic
327C2×C4×Q8C2311yescharacteristic
328C2×C4×Q8C2311yescharacteristic
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×D4—28no—
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2312yes—
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×#117—216no—
349C2×#117C2312yes—
350C2×#117C2312yes—
351C2×#117C2312yes—
352C2×#117C2312yes—
353C2×#117C2312yes—
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2314yes—
362C2×#117C2314yes—
363C22×C4⋊C4C2312yes—
364C22×C4⋊C4C2312yes—
365C22×C4⋊C4C2312yes—
366C22×C4⋊C4C2311yescharacteristic
367C22×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2311yescharacteristic
370C22×C22⋊C4C2312yes—
371C22×C22⋊C4C2312yes—
372C22×C22⋊C4C2312yes—
373C22×C22⋊C4C2314yes—
374C22×C22⋊C4C2312yes—
375C22×C22⋊C4C2312yes—
376C22×C42C2312yes—
377C22×C42C2311yescharacteristic
378C22×C42C2311yescharacteristic
379C22×C42C2311yescharacteristic
380C22×C42C2311yescharacteristic
381C22×C42C2311yescharacteristic
382C22×C42C2311yescharacteristic
383C22×C42C2311yescharacteristic
384#401C2314yes—
385#401C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#399C2314yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#395C2314yes—
441#395C2314yes—
442#395C2314yes—
443#394C2314yes—
444#394C2314yes—
445#393C2314yes—
446#393C2314yes—
447#393C2314yes—
448#391C2312yes—
449#391C2312yes—
450#391C2311yescharacteristic
451#391C2311yescharacteristic
452#391C2311yescharacteristic
453#391C2311yescharacteristic
454#391C2312yes—
455#391C2312yes—
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#391C2312yes—
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2314yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#390C2312yes—
472#390C2311yescharacteristic
473#390C2312yes—
474#390C2311yescharacteristic
475#390C2312yes—
476#390C2312yes—
477#390C2312yes—
478#390C2311yescharacteristic
479#390C2312yes—
480#390C2311yescharacteristic
481#390C2311yescharacteristic
482#390C2311yescharacteristic
483#390C2311yescharacteristic
484#390C2312yes—
485#390C2312yes—
486#390C2311yescharacteristic
487#389C2311yescharacteristic
488#389C2312yes—
489#389C2312yes—
490#389C2312yes—
491#389C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2311yescharacteristic
500#389C2311yescharacteristic
501#389C2311yescharacteristic
502#389C2311yescharacteristic
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2314yes—
509#389C2314yes—
510#389C2314yes—
511#389C2314yes—
512#389C2314yes—
513#389C2314yes—
514#389C2314yes—
515#389C2314yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2311yescharacteristic
524#389C2314yes—
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2312yes—
529#389C2314yes—
530#389C2314yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2311yescharacteristic
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2314yes—
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2312yes—
545#389C2312yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2312yes—
559#388C2312yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2312yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2312yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#387C2312yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2312yes—
597#387C2314yes—
598#387C2312yes—
599#387C2312yes—
600#387C2312yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
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#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#386C2314yes—
645#386C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2312yes—
665#385C2312yes—
666#385C2312yes—
667#385C2312yes—
668#384C2311yescharacteristic
669#384C2311yescharacteristic
670#384C2311yescharacteristic
671#384C2311yescharacteristic
672#384C2312yes—
673#384C2312yes—
674#383C2314yes—
675#383C2314yes—
676#383C2314yes—
677#383C2314yes—
678#383C2314yes—
679#382C2312yes—
680#382C2312yes—
681#382C2312yes—
682#382C2312yes—
683#382C2312yes—
684#382C2312yes—
685#382C2312yes—
686#382C2312yes—
687#382C2312yes—
688#382C2314yes—
689#382C2314yes—
690#382C2314yes—
691#382C2314yes—
692#382C2312yes—
693#381C2314yes—
694#381C2314yes—
695#381C2314yes—
696#381C2314yes—
697#381C2314yes—
698#381C2314yes—
699#381C2314yes—
700#381C2314yes—
701#380C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2314yes—
707#380C2314yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2314yes—
716#380C2314yes—
717#380C2312yes—
718#380C2314yes—
719#380C2311yescharacteristic
720#380C2311yescharacteristic
721#379C2314yes—
722#379C2314yes—
723#379C2314yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796#376C2314yes—
797#376C2314yes—
798#376C2314yes—
799#376C2312yes—
800#376C2312yes—
801C2×#95C2312yes—
802C2×#95C2314yes—
803C2×#95C2312yes—
804C2×#95C2312yes—
805C43C2311yescharacteristic
806C43C2311yescharacteristic
807C43C2311yescharacteristic
808C43C2312yes—
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C25C2412yes—
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×D4—24no—
822C22×D4—24no—
823C22×D4—42no—
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C22×D4C2411yescharacteristic
827C23×C4—28no—
828C23×C4—28no—
829C23×C4—44no—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2414yes—
844C23×C4C2414yes—
845C23×C4C2411yescharacteristic
846C4⋊Q8—24no—
847C4⋊Q8—24no—
848C4⋊Q8—24no—
849C4⋊Q8—24no—
850#126—216no—
851#126—48no—
852#125—28no—
853#125—28no—
854#125—44no—
855#125—44no—
856#124—28no—
857#124—44no—
858C22⋊Q8—24no—
859C22⋊Q8—24no—
860C22⋊Q8—28no—
861C22⋊Q8—28no—
862C22⋊Q8—28no—
863C22⋊Q8—28no—
864C22⋊Q8—216no—
865C22⋊Q8—44no—
866C22⋊Q8—44no—
867C22⋊Q8—44no—
868C4×Q8—28no—
869C4×Q8—24no—
870C4×Q8—24no—
871C4×Q8—28no—
872C4×Q8—24no—
873C4×Q8—24no—
874C4×Q8—44no—
875C4×Q8—44no—
876C4×Q8—44no—
877C4×Q8—42no—
878C4×Q8—42no—
879C4×Q8—44no—
880C4×Q8—44no—
881C4×D4—24no—
882C4×D4—28no—
883C4×D4—28no—
884C4×D4—24no—
885C4×D4—28no—
886C4×D4—24no—
887C4×D4—44no—
888C4×D4#4118yes—
889#117—28no—
890#117—28no—
891#117—28no—
892#117—28no—
893#117—28no—
894#117—28no—
895#117—28no—
896#117—28no—
897#117—28no—
898#117—28no—
899#117—48no—
900#117—44no—
901#117—48no—
902#117—44no—
903C2×C4⋊C4—28no—
904C2×C4⋊C4—28no—
905C2×C4⋊C4—28no—
906C2×C4⋊C4—24no—
907C2×C4⋊C4—24no—
908C2×C4⋊C4—44no—
909C2×C4⋊C4—42no—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C22⋊C4—28no—
983C2×C22⋊C4—28no—
984C2×C22⋊C4—28no—
985C2×C22⋊C4—44no—
986C2×C22⋊C4—48no—
987C2×C22⋊C4—44no—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C42—28no—
1029C2×C42—24no—
1030C2×C42—24no—
1031C2×C42—42no—
1032C2×C42—42no—
1033C2×C42—42no—
1034C2×C42—42no—
1035C2×C42#4118yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2414yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2414yes—
1065C2×C42C2414yes—
1066C2×C42C2414yes—
1067C2×C42C2414yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2414yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162C24—24no—
1163C24—24no—
1164C24—24no—
1165C24—24no—
1166C24—42no—
1167C24—42no—
1168C24—42no—
1169C24C2512yes—
1170C24C2512yes—
1171C24C2511yescharacteristic
1172C2×Q8—22no—
1173C2×Q8—22no—
1174C2×Q8—24no—
1175C2×Q8—22no—
1176C2×Q8—22no—
1177C2×Q8—24no—
1178C2×Q8—24no—
1179C2×Q8—24no—
1180C2×Q8—24no—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—42no—
1184C2×Q8—42no—
1185C2×Q8—42no—
1186C2×Q8—42no—
1187C2×D4—24no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—24no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—416no—
1195C2×D4—42no—
1196C2×D4C2×#4114yes—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—24no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—22no—
1209C22×C4—24no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—28no—
1215C22×C4—22no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—432no—
1234C22×C4—42no—
1235C22×C4—44no—
1236C22×C4—42no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4C2×#4114yes—
1242C22×C4C2×#4114yes—
1243C22×C4C2×#4118yes—
1244C22×C4C2×#4114yes—
1245C22×C42−1+414yes—
1246C22×C4C2512yes—
1247C22×C4C2511yescharacteristic
1248C22×C4C2514yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2514yes—
1254C22×C4C2514yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2512yes—
1257C22×C4C2511yescharacteristic
1258C22×C4C2511yescharacteristic
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2514yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C4⋊C4—22no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—22no—
1289C4⋊C4—28no—
1290C4⋊C4—24no—
1291C4⋊C4—22no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—28no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—28no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—28no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—28no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4C2×#4114yes—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—28no—
1354C22⋊C4—28no—
1355C22⋊C4—28no—
1356C22⋊C4—28no—
1357C22⋊C4—24no—
1358C22⋊C4—28no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4C2×#4118yes—
1390C42—24no—
1391C42—24no—
1392C42—24no—
1393C42—24no—
1394C42—22no—
1395C42—22no—
1396C42—22no—
1397C42—24no—
1398C42—24no—
1399C42—28no—
1400C42—24no—
1401C42—24no—
1402C42—22no—
1403C42—22no—
1404C42—22no—
1405C42—22no—
1406C42—22no—
1407C42—22no—
1408C42—22no—
1409C42—22no—
1410C42—22no—
1411C42—22no—
1412C42—24no—
1413C42—24no—
1414C42—24no—
1415C42—24no—
1416C42—41no—
1417C42—41no—
1418C42—41no—
1419C42—41no—
1420C42—41no—
1421C42—41no—
1422C42—41no—
1423C42—41no—
1424C42—41no—
1425C42—41no—
1426C42—42no—
1427C42—42no—
1428C42—44no—
1429C42—44no—
1430C42—44no—
1431C42—44no—
1432C42—42no—
1433C42—44no—
1434C42—44no—
1435C42—42no—
1436C42—44no—
1437C42C2×#4114yes—
1438C42C2×#4114yes—
1439C42C2×#4114yes—
1440C42C2×#4114yes—
1441C42C2×#4114yes—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—48no—
1460C23—48no—
1461C23—48no—
1462C23—48no—
1463C23—84no—
1464C23—84no—
1465C23—84no—
1466C23C22×#4114yes—
1467C23C22×#4112yes—
1468C23C2×2−1+412yes—
1469C23#58512yes—
1470C23C2611yescharacteristic
1471Q8—48no—
1472Q8—44no—
1473Q8—44no—
1474Q8—48no—
1475Q8—84no—
1476D4—28no—
1477D4—48no—
1478D4—44no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—28no—
1498C2×C4—28no—
1499C2×C4—216no—
1500C2×C4—28no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—24no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—24no—
1520C2×C4—24no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—24no—
1546C2×C4—24no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—24no—
1552C2×C4—24no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—44no—
1565C2×C4—48no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—48no—
1569C2×C4—48no—
1570C2×C4—44no—
1571C2×C4—48no—
1572C2×C4—48no—
1573C2×C4—88no—
1574C2×C4—84no—
1575C2×C4—164no—
1576C2×C4C22×#4112yes—
1577C2×C4C22×#4112yes—
1578C2×C4C22×#4114yes—
1579C2×C4C22×#4112yes—
1580C2×C4C22×#4112yes—
1581C2×C4C22×#4112yes—
1582C2×C4C22×#4112yes—
1583C2×C4C22×#4112yes—
1584C2×C4C22×#4112yes—
1585C2×C4C22×#4112yes—
1586C2×C4C2×2−1+412yes—
1587C2×C4C2×2−1+412yes—
1588C2×C4#58512yes—
1589C2×C4#58512yes—
1590C2×C4#58512yes—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—24no—
1598C22—24no—
1599C22—24no—
1600C22—42no—
1601C22—42no—
1602C22—42no—
1603C22—42no—
1604C22—42no—
1605C22—42no—
1606C22—42no—
1607C22—42no—
1608C22—42no—
1609C22—42no—
1610C22—42no—
1611C22—816no—
1612C22#350714yes—
1613C22C23×#4111yescharacteristic
1614C22C23×#4111yescharacteristic
1615C22C22×2−1+411yescharacteristic
1616C22C2×#58511yescharacteristic
1617C22C2×#58511yescharacteristic
1618C22C2×#58511yescharacteristic
1619C22C2×#58511yescharacteristic
1620C4—22no—
1621C4—22no—
1622C4—22no—
1623C4—22no—
1624C4—22no—
1625C4—22no—
1626C4—22no—
1627C4—22no—
1628C4—24no—
1629C4—42no—
1630C4—42no—
1631C4—44no—
1632C4—42no—
1633C4—41no—
1634C4—42no—
1635C4—44no—
1636C4—42no—
1637C4—42no—
1638C4—42no—
1639C4—42no—
1640C4—42no—
1641C4—41no—
1642C4—41no—
1643C4—44no—
1644C4—42no—
1645C4—44no—
1646C4—41no—
1647C4—42no—
1648C4—42no—
1649C4—42no—
1650C4#347514yes—
1651C4#349514yes—
1652C2—24no—
1653C2—44no—
1654C2—82no—
1655C2C2×#347511yescharacteristic
1656C2C2×#350711yescharacteristic
1657C2C2×#349511yescharacteristic
1658C2#6281011yescharacteristic
1659C2#6281511yescharacteristic
1660C2#6282711yescharacteristic
1661C2#6283111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC23×D4C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59895C2semidirect
2. #59893C2semidirect
3. #59890C2semidirect
4. #59868C2semidirect
6. #59422C2semidirect
7. #39553C2semidirect
8. #39545C2semidirect
9. #39515C2semidirect
10. #39506C2semidirect
11. #39498C2semidirect
12. #39490C2semidirect
13. #38471C2semidirect
14. #38469C2semidirect
15. #36635C2semidirect
16. #36395C2semidirect
17. #36394C2semidirect
18. #36307C2semidirect
20. #36207C2semidirect
21. #36193C2semidirect
22. #36177C2semidirect
23. #36167C2semidirect
26. #35653C2semidirect
27. #35652C2semidirect
28. #35325C2semidirect
29. #35185C2semidirect
30. #35184C2semidirect
31. #34322C2semidirect
32. #34317C2semidirect
33. #34180C2semidirect
34. C4×#533C2semidirect
41. #2864C22semidirect
42. #2864C22semidirect
43. #2863C22semidirect
44. #2863C22semidirect
45. #2863C22semidirect
46. #2862C22semidirect
49. #2859C22semidirect
59. #2807C22semidirect
60. #2802C22semidirect
61. #2798C22semidirect
63. #2788C22semidirect
64. #2787C22semidirect
65. #2783C22semidirect
66. #2783C22semidirect
67. #2777C22semidirect
68. #2774C22semidirect
69. #2773C22semidirect
70. #2771C22semidirect
71. #2759C22semidirect
73. #2689C22semidirect
74. #2689C22semidirect
75. #2654C22semidirect
76. #2650C22semidirect
77. #2628C22semidirect
78. #2628C22semidirect
79. #2621C22semidirect
80. #2621C22semidirect
81. #2611C22semidirect
82. #2611C22semidirect
83. #2604C22semidirect
84. #2599C22semidirect
85. #2599C22semidirect
86. #2599C22semidirect
88. #2596C22semidirect
89. #2596C22semidirect
91. #2594C22semidirect
92. #2594C22semidirect
94. #2590C22semidirect
95. #2585C22semidirect
96. #2584C22semidirect
98. #2581C22semidirect
100. #2577C22semidirect
101. #2577C22semidirect
102. #2577C22semidirect
103. #2575C22semidirect
104. #2575C22semidirect
105. #2573C22semidirect
106. #2571C22semidirect
107. #2568C22semidirect
108. #2567C22semidirect
111. #2552C22semidirect
115. #2533C22semidirect
116. #2533C22semidirect
117. #2533C22semidirect
119. #2530C22semidirect
120. #2528C22semidirect
122. #2525C22semidirect
123. #2525C22semidirect
124. #2520C22semidirect
125. #2517C22semidirect
127. #2515C22semidirect
128. #2514C22semidirect
129. #2514C22semidirect
130. #2514C22semidirect
134. #2511C22semidirect
135. #2509C22semidirect
136. #2509C22semidirect
137. #2509C22semidirect
138. #2509C22semidirect
139. #2508C22semidirect
140. #2508C22semidirect
141. #2508C22semidirect
142. #2507C22semidirect
146. #2503C22semidirect
147. #2499C22semidirect
148. #2496C22semidirect
149. #2495C22semidirect
150. #2495C22semidirect
151. #2494C22semidirect
152. #2494C22semidirect
155. #2493C22semidirect
156. #2489C22semidirect
157. #2489C22semidirect
167. #2469C22semidirect
171. #2453C22semidirect
172. #2453C22semidirect
173. #2453C22semidirect
182. #2442C22semidirect
183. #2441C22semidirect
187. #2423C22semidirect
188. #2421C22semidirect
191. #2373C22semidirect
192. #2373C22semidirect
193. #2370C22semidirect
194. #2370C22semidirect
195. #2369C22semidirect
198. #2365C22semidirect
199. #2362C22semidirect
200. #2362C22semidirect
203. #2360C22semidirect
205. #2356C22semidirect
206. #2355C22semidirect
207. #2355C22semidirect
209. #2351C22semidirect
212. #2347C22semidirect
213. #2346C22semidirect
214. #2346C22semidirect
218. #2344C22semidirect
220. #2343C22semidirect
221. #2343C22semidirect
222. #2343C22semidirect
227. #2334C22semidirect
228. #2332C22semidirect
229. #2323C22semidirect
230. #2323C22semidirect
231. #2323C22semidirect
232. #2323C22semidirect
233. #2317C22semidirect
234. #2317C22semidirect
235. #2314C22semidirect
236. #2314C22semidirect
237. #2314C22semidirect
238. #2314C22semidirect
239. C4×C4⋊Q8C22semidirect
240. C4×C4⋊Q8C22semidirect
241. C4×C4⋊Q8C22semidirect
242. C4×C4⋊Q8C22semidirect
243. C4×C4⋊Q8C22semidirect
244. C4×C4⋊Q8C22semidirect
245. C4×#125C22semidirect
246. C4×#125C22semidirect
247. C4×#125C22semidirect
248. C4×#125C22semidirect
259. #2295C22semidirect
260. #2295C22semidirect
261. #2295C22semidirect
262. #2295C22semidirect
263. #2295C22semidirect
264. #2295C22semidirect
290. #2274C22semidirect
291. #2274C22semidirect
292. C42×Q8C22semidirect
293. C42×Q8C22semidirect
294. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#598952
#598932
#598902
#598682
#598622
#594222
#395532
#395452
#395152
#395062
#394982
#394902
#384712
#384692
#366352
#363952
#363942
#363072
#362932
#362072
#361932
#361772
#361672
#361612
#361542
#356532
#356522
#353252
#351852
#351842
#343222
#343172
#341802
C4×#5332
C2×#22932