Finite Group Databasebeta

← #7693209

Subgroups — #7693209

Order 512.

4777 conjugacy classes of subgroups.

The subgroup lattice has 1677 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59566C212yesmaximal, complemented
2#59554C214yesmaximal, complemented
3#59448C212yesmaximal, complemented
4#59427C211yesmaximal, characteristic, complemented
5#59302C211yesmaximal, characteristic, complemented
6#59293C212yesmaximal, complemented
7#59242C211yesmaximal, characteristic, complemented
8#59201C212yesmaximal, complemented
9#45365C212yesmaximal, complemented
10#45150C212yesmaximal, complemented
11#44490C214yesmaximal, complemented
12#43639C214yesmaximal, complemented
13#39939C212yesmaximal, complemented
14#39935C212yesmaximal, complemented
15#39737C211yesmaximal, characteristic, complemented
16#39734C211yesmaximal, characteristic, complemented
17#39018C214yesmaximal, complemented
18#38947C212yesmaximal
19#36590C211yesmaximal, characteristic, complemented
20#36485C212yesmaximal, complemented
21#36417C212yesmaximal, complemented
22#36416C211yesmaximal, characteristic, complemented
23#36405C211yesmaximal, characteristic, complemented
24#36207C212yesmaximal, complemented
25#36181C211yesmaximal, characteristic, complemented
26#36161C211yesmaximal, characteristic, complemented
27#36037C212yesmaximal, complemented
28#35789C212yesmaximal, complemented
29#34941C211yesmaximal, characteristic, complemented
30#34814C212yesmaximal, complemented
31#34318C212yesmaximal, complemented
32#34188C211yesmaximal, characteristic, complemented
33#34186C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35C4×#546C211yesmaximal, characteristic
36C2×#556C2211yescharacteristic
37C2×#552C2212yes—
38C2×#546C2211yescharacteristic
39C2×C4×#41C2211yescharacteristic
40C22×C4×D4C2211yescharacteristic
41#2865C2214yescomplemented
42#2861C2212yes—
43#2859C2211yescharacteristic, complemented
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic, complemented
46#2855C2212yescomplemented
47#2851C2212yescomplemented
48#2848C2212yes—
49#2793C2214yescomplemented
50#2787C2214yes—
51#2783C2214yescomplemented
52#2772C2214yescomplemented
53#2766C2214yescomplemented
54#2765C2214yescomplemented
55#2757C2214yes—
56#2747C2214yes—
57#2746C2214yescomplemented
58#2745C2214yescomplemented
59#2743C2214yescomplemented
60#2741C2214yescomplemented
61#2739C2214yescomplemented
62#2738C2214yescomplemented
63#2737C2214yes—
64#2736C2214yes—
65#2735C2214yes—
66#2707C2214yes—
67#2707C2214yes—
68#2697C2214yes—
69#2697C2214yes—
70#2652C2214yes—
71#2650C2214yescomplemented
72#2621C2212yes—
73#2620C2212yes—
74#2597C2214yes—
75#2594C2214yescomplemented
76#2594C2214yescomplemented
77#2594C2214yescomplemented
78#2592C2212yes—
79#2589C2214yescomplemented
80#2588C2214yescomplemented
81#2587C2214yescomplemented
82#2587C2214yescomplemented
83#2585C2214yescomplemented
84#2582C2211yescharacteristic, complemented
85#2580C2212yes—
86#2577C2214yescomplemented
87#2576C2214yescomplemented
88#2576C2214yescomplemented
89#2575C2214yescomplemented
90#2574C2212yes—
91#2574C2212yescomplemented
92#2572C2214yescomplemented
93#2572C2214yescomplemented
94#2571C2211yescharacteristic, complemented
95#2571C2212yescomplemented
96#2570C2212yescomplemented
97#2570C2212yescomplemented
98#2568C2212yescomplemented
99#2567C2211yescharacteristic, complemented
100#2566C2212yes—
101#2565C2212yescomplemented
102#2563C2211yescharacteristic
103#2562C2212yescomplemented
104#2552C2211yescharacteristic, complemented
105#2552C2211yescharacteristic, complemented
106#2547C2211yescharacteristic
107#2546C2211yescharacteristic, complemented
108#2545C2212yes—
109#2538C2211yescharacteristic
110#2538C2211yescharacteristic
111#2532C2214yescomplemented
112#2530C2214yescomplemented
113#2528C2214yescomplemented
114#2526C2214yescomplemented
115#2525C2214yescomplemented
116#2525C2214yescomplemented
117#2524C2214yescomplemented
118#2524C2214yescomplemented
119#2523C2214yes—
120#2519C2214yescomplemented
121#2517C2214yes—
122#2516C2214yescomplemented
123#2515C2214yescomplemented
124#2515C2214yescomplemented
125#2515C2214yescomplemented
126#2514C2212yescomplemented
127#2514C2212yescomplemented
128#2514C2212yescomplemented
129#2514C2212yescomplemented
130#2513C2212yes—
131#2512C2212yes—
132#2511C2212yescomplemented
133#2508C2212yescomplemented
134#2507C2212yescomplemented
135#2506C2212yescomplemented
136#2506C2212yescomplemented
137#2505C2214yescomplemented
138#2504C2212yes—
139#2503C2212yescomplemented
140#2499C2212yes—
141#2499C2212yes—
142#2499C2212yescomplemented
143#2497C2211yescharacteristic
144#2497C2212yescomplemented
145#2497C2212yescomplemented
146#2497C2211yescharacteristic, complemented
147#2496C2212yes—
148#2496C2212yes—
149#2496C2212yescomplemented
150#2495C2212yes—
151#2495C2212yes—
152#2495C2212yescomplemented
153#2494C2212yes—
154#2494C2212yescomplemented
155#2493C2214yescomplemented
156#2493C2214yescomplemented
157#2489C2212yes—
158#2486C2212yes—
159#2486C2212yes—
160#2485C2212yes—
161#2485C2212yescomplemented
162#2485C2212yescomplemented
163#2482C2214yes—
164#2481C2214yescomplemented
165#2480C2214yes—
166#2480C2214yes—
167#2480C2214yes—
168#2480C2214yes—
169#2479C2214yes—
170#2478C2214yescomplemented
171#2476C2214yes—
172#2476C2214yes—
173#2475C2214yescomplemented
174#2468C2214yescomplemented
175#2466C2214yes—
176#2454C2212yes—
177#2448C2212yes—
178#2447C2212yes—
179#2447C2212yes—
180#2446C2212yescomplemented
181#2441C2212yescomplemented
182#2441C2212yescomplemented
183#2439C2212yescomplemented
184#2439C2212yescomplemented
185#2435C2212yes—
186#2432C2212yes—
187#2423C2211yescharacteristic
188#2423C2211yescharacteristic, complemented
189#2421C2212yescomplemented
190#2417C2212yescomplemented
191#2415C2212yes—
192#2415C2212yescomplemented
193#2401C2214yes—
194#2401C2214yescomplemented
195#2396C2212yes—
196#2396C2212yescomplemented
197#2374C2214yes—
198#2373C2214yes—
199#2373C2214yescomplemented
200#2370C2212yescomplemented
201#2370C2214yescomplemented
202#2370C2212yescomplemented
203#2367C2212yes—
204#2367C2212yes—
205#2367C2211yescharacteristic
206#2365C2212yescomplemented
207#2365C2211yescharacteristic, complemented
208#2364C2212yes—
209#2363C2211yescharacteristic
210#2362C2212yescomplemented
211#2362C2212yescomplemented
212#2362C2212yescomplemented
213#2360C2212yes—
214#2360C2211yescharacteristic
215#2359C2212yes—
216#2358C2212yes—
217#2357C2212yes—
218#2357C2212yes—
219#2357C2214yes—
220#2356C2212yescomplemented
221#2356C2212yescomplemented
222#2355C2211yescharacteristic, complemented
223#2355C2211yescharacteristic, complemented
224#2355C2212yescomplemented
225#2355C2211yescharacteristic, complemented
226#2355C2212yescomplemented
227#2354C2212yes—
228#2354C2211yescharacteristic
229#2354C2211yescharacteristic
230#2354C2212yes—
231#2354C2211yescharacteristic
232#2354C2211yescharacteristic
233#2354C2211yescharacteristic
234#2354C2212yes—
235#2352C2211yescharacteristic
236#2352C2212yescomplemented
237#2352C2212yescomplemented
238#2352C2212yescomplemented
239#2352C2214yescomplemented
240#2349C2211yescharacteristic
241#2347C2212yes—
242#2347C2214yescomplemented
243#2347C2212yescomplemented
244#2347C2212yescomplemented
245#2346C2212yescomplemented
246#2345C2212yescomplemented
247#2344C2212yescomplemented
248#2344C2212yescomplemented
249#2343C2214yescomplemented
250#2342C2212yes—
251#2339C2211yescharacteristic
252D4×C22⋊C4C2211yescharacteristic
253#2336C2214yescomplemented
254#2335C2214yes—
255#2323C2212yes—
256#2323C2212yescomplemented
257#2314C2214yescomplemented
258#2312C2214yes—
259#2311C2212yes—
260#2309C2212yes—
261C4×C4⋊Q8C2211yescharacteristic, complemented
262C4×C4⋊Q8C2211yescharacteristic, complemented
263C4×#125C2212yescomplemented
264C4×#125C2212yescomplemented
265C4×#126C2214yes—
266C4×#126C2214yescomplemented
267C4×#126C2214yescomplemented
268C4×#124C2212yes—
269C4×#124C2211yescharacteristic
270C4×C22⋊Q8C2211yescharacteristic
271C4×C22⋊Q8C2211yescharacteristic
272C4×C22⋊Q8C2211yescharacteristic, complemented
273C4×C22⋊Q8C2212yescomplemented
274C4×#123C2212yes—
275C4×#121C2211yescharacteristic
276C4×#121C2212yes—
277C4×#120C2212yes—
278#2298C2214yescomplemented
279#2296C2212yescomplemented
280#2296C2212yescomplemented
281#2293C2212yes—
282#2285C2211yescharacteristic
283#2285C2211yescharacteristic
284#2285C2212yescomplemented
285#2285C2211yescharacteristic, complemented
286#2285C2212yescomplemented
287C2×#384C2211yescharacteristic, complemented
288#2280C2212yes—
289#2280C2212yes—
290#2280C2212yes—
291#2274C2212yes—
292#2274C2212yescomplemented
293C42×Q8C2212yescomplemented
294C42×Q8C2211yescharacteristic, complemented
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2212yescomplemented
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#556—28no—
303#552—216no—
304#546—28no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×#126C2314yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#125C2312yes—
312C2×#125C2314yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#124C2311yescharacteristic
316C2×#124C2312yes—
317C2×#124C2312yes—
318C2×#123C2314yes—
319C2×#123C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×#121C2311yescharacteristic
328C2×#121C2312yes—
329C2×#120C2312yes—
330C4×#41—28no—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×D4—28no—
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2314yes—
359C2×#117C2312yes—
360C2×#117C2311yescharacteristic
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2314yes—
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2312yes—
367C2×#117C2312yes—
368C2×#117C2312yes—
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2312yes—
372C22×C4⋊C4C2312yes—
373C22×C22⋊C4C2312yes—
374C22×C22⋊C4C2312yes—
375C22×C22⋊C4C2312yes—
376C22×C42C2312yes—
377C22×C42C2311yescharacteristic
378C22×C42C2311yescharacteristic
379C22×C42C2312yes—
380#401C2314yes—
381#401C2314yes—
382#401C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2312yes—
396#400C2314yes—
397#400C2312yes—
398#400C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2312yes—
402#399C2312yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2312yes—
408#398C2312yes—
409#398C2314yes—
410#398C2312yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2312yes—
415#398C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2312yes—
437#396C2312yes—
438#396C2312yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2312yes—
446#395C2312yes—
447#395C2312yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#393C2312yes—
455#393C2312yes—
456#393C2314yes—
457#393C2314yes—
458#391C2312yes—
459#391C2312yes—
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2311yescharacteristic
465#391C2311yescharacteristic
466#391C2311yescharacteristic
467#391C2314yes—
468#391C2312yes—
469#391C2314yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2311yescharacteristic
474#391C2312yes—
475#391C2312yes—
476#390C2312yes—
477#390C2312yes—
478#390C2312yes—
479#390C2312yes—
480#390C2314yes—
481#390C2312yes—
482#390C2314yes—
483#390C2312yes—
484#390C2312yes—
485#390C2311yescharacteristic
486#390C2311yescharacteristic
487#390C2312yes—
488#390C2312yes—
489#389C2312yes—
490#389C2312yes—
491#389C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2311yescharacteristic
495#389C2312yes—
496#389C2312yes—
497#389C2311yescharacteristic
498#389C2312yes—
499#389C2311yescharacteristic
500#389C2312yes—
501#389C2312yes—
502#389C2311yescharacteristic
503#389C2312yes—
504#389C2314yes—
505#389C2312yes—
506#389C2314yes—
507#389C2312yes—
508#389C2314yes—
509#389C2312yes—
510#389C2312yes—
511#389C2314yes—
512#389C2314yes—
513#389C2314yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2312yes—
526#389C2311yescharacteristic
527#388C2312yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2312yes—
552#388C2312yes—
553#388C2312yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2312yes—
563#388C2312yes—
564#388C2312yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2312yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2312yes—
586#387C2312yes—
587#387C2312yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2312yes—
599#387C2312yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2312yes—
613#387C2314yes—
614#387C2314yes—
615#387C2312yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2312yes—
622#387C2314yes—
623#387C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2312yes—
627#386C2312yes—
628#386C2314yes—
629#386C2312yes—
630#386C2314yes—
631#386C2312yes—
632#386C2312yes—
633#386C2312yes—
634#386C2312yes—
635#385C2314yes—
636#385C2314yes—
637#385C2312yes—
638#385C2312yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2312yes—
643#385C2314yes—
644#385C2314yes—
645#385C2312yes—
646#385C2312yes—
647#385C2314yes—
648#385C2312yes—
649#385C2312yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#384C2311yescharacteristic
654#384C2311yescharacteristic
655#384C2312yes—
656#384C2312yes—
657#384C2311yescharacteristic
658#384C2311yescharacteristic
659#384C2312yes—
660#384C2311yescharacteristic
661#384C2311yescharacteristic
662#384C2311yescharacteristic
663#384C2311yescharacteristic
664#384C2312yes—
665#383C2314yes—
666#383C2314yes—
667#383C2314yes—
668#383C2314yes—
669#383C2314yes—
670#383C2314yes—
671#382C2311yescharacteristic
672#382C2312yes—
673#382C2312yes—
674#382C2312yes—
675#382C2314yes—
676#382C2312yes—
677#382C2312yes—
678#382C2312yes—
679#382C2312yes—
680#382C2314yes—
681#382C2312yes—
682#382C2314yes—
683#382C2312yes—
684#382C2312yes—
685#381C2314yes—
686#381C2314yes—
687#381C2314yes—
688#381C2314yes—
689#381C2312yes—
690#381C2314yes—
691#381C2314yes—
692#380C2311yescharacteristic
693#380C2312yes—
694#380C2312yes—
695#380C2312yes—
696#380C2311yescharacteristic
697#380C2311yescharacteristic
698#380C2311yescharacteristic
699#380C2311yescharacteristic
700#380C2314yes—
701#380C2314yes—
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2311yescharacteristic
707#380C2311yescharacteristic
708#380C2314yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2314yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2311yescharacteristic
721#379C2314yes—
722#379C2314yes—
723#379C2314yes—
724#379C2312yes—
725#379C2314yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808#376C2314yes—
809#376C2314yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C43C2314yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C25C2412yes—
816C2×#41—24no—
817C2×#41—24no—
818C2×#41—42no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×D4—24no—
824C22×D4—24no—
825C22×D4—42no—
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C23×C4—28no—
833C23×C4—44no—
834C23×C4—44no—
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2414yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C4⋊Q8—24no—
852C4⋊Q8—42no—
853C4⋊Q8—44no—
854#126—216no—
855#126—216no—
856#126—48no—
857#125—216no—
858#125—28no—
859#125—44no—
860#125—44no—
861#124—28no—
862#124—24no—
863#124—44no—
864#123—216no—
865#123—28no—
866C22⋊Q8—24no—
867C22⋊Q8—28no—
868C22⋊Q8—28no—
869C22⋊Q8—28no—
870C22⋊Q8—44no—
871C22⋊Q8—42no—
872C22⋊Q8—42no—
873#121—24no—
874#121—28no—
875#120—28no—
876C4×Q8—24no—
877C4×Q8—28no—
878C4×Q8—24no—
879C4×Q8—28no—
880C4×Q8—24no—
881C4×Q8—44no—
882C4×Q8—42no—
883C4×Q8—44no—
884C4×Q8—42no—
885C4×D4—24no—
886C4×D4—24no—
887C4×D4—28no—
888C4×D4—28no—
889C4×D4—24no—
890C4×D4—28no—
891C4×D4—28no—
892C4×D4—24no—
893C4×D4—24no—
894C4×D4—42no—
895C4×D4—44no—
896C4×D4—42no—
897C4×D4—42no—
898C4×D4#4118yes—
899C4×D4#4118yes—
900#117—28no—
901#117—28no—
902#117—24no—
903#117—28no—
904#117—216no—
905#117—44no—
906#117—44no—
907#117—44no—
908#117—44no—
909#117—44no—
910#117—48no—
911#117—44no—
912#117—44no—
913C2×C4⋊C4—28no—
914C2×C4⋊C4—24no—
915C2×C4⋊C4—44no—
916C2×C4⋊C4—44no—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C22⋊C4—28no—
988C2×C22⋊C4—28no—
989C2×C22⋊C4—44no—
990C2×C22⋊C4C2411yescharacteristic
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C42—28no—
1042C2×C42—24no—
1043C2×C42—24no—
1044C2×C42—44no—
1045C2×C42C2412yes—
1046C2×C42C2414yes—
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2414yes—
1051C2×C42C2414yes—
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2414yes—
1066C2×C42C2414yes—
1067C2×C42C2414yes—
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2412yes—
1074C2×C42C2414yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2414yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084#95C2411yescharacteristic
1085#95C2411yescharacteristic
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2411yescharacteristic
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2411yescharacteristic
1108#95C2412yes—
1109#95C2412yes—
1110#95C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160C24—24no—
1161C24—24no—
1162C24—42no—
1163C24—42no—
1164C24—42no—
1165C24—42no—
1166C24—42no—
1167C24C2512yes—
1168C24C2511yescharacteristic
1169C24C2512yes—
1170C24C2511yescharacteristic
1171#41—416no—
1172C2×Q8—22no—
1173C2×Q8—24no—
1174C2×Q8—22no—
1175C2×Q8—24no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—22no—
1179C2×Q8—24no—
1180C2×Q8—22no—
1181C2×Q8—42no—
1182C2×Q8—42no—
1183C2×Q8—42no—
1184C2×D4—24no—
1185C2×D4—24no—
1186C2×D4—24no—
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—41no—
1196C2×D4—41no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4C2×#4114yes—
1202C2×D4C2×#4114yes—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—28no—
1212C22×C4—24no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—41no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—41no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—41no—
1248C22×C4—816no—
1249C22×C4C2×#4118yes—
1250C22×C4C2×#4114yes—
1251C22×C4C2×#4114yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2512yes—
1254C22×C4C2511yescharacteristic
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2511yescharacteristic
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2514yes—
1265C22×C4C2512yes—
1266C22×C4C2514yes—
1267C22×C4C2514yes—
1268C22×C4C2512yes—
1269C22×C4C2511yescharacteristic
1270C22×C4C2514yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—22no—
1286C4⋊C4—24no—
1287C4⋊C4—28no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—28no—
1294C4⋊C4—24no—
1295C4⋊C4—28no—
1296C4⋊C4—22no—
1297C4⋊C4—28no—
1298C4⋊C4—28no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—28no—
1302C4⋊C4—28no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—28no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—44no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—41no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4C2×#4114yes—
1352C4⋊C4C2×#4114yes—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—28no—
1357C22⋊C4—28no—
1358C22⋊C4—28no—
1359C22⋊C4—28no—
1360C22⋊C4—28no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—22no—
1369C22⋊C4—24no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—44no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—44no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—41no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4C2×#4114yes—
1402C22⋊C4C2×#4118yes—
1403C22⋊C4C2×#4114yes—
1404C42—22no—
1405C42—24no—
1406C42—22no—
1407C42—22no—
1408C42—22no—
1409C42—22no—
1410C42—22no—
1411C42—24no—
1412C42—24no—
1413C42—28no—
1414C42—28no—
1415C42—28no—
1416C42—24no—
1417C42—22no—
1418C42—24no—
1419C42—24no—
1420C42—24no—
1421C42—24no—
1422C42—22no—
1423C42—22no—
1424C42—42no—
1425C42—42no—
1426C42—41no—
1427C42—42no—
1428C42—44no—
1429C42—44no—
1430C42—44no—
1431C42—44no—
1432C42—44no—
1433C42—44no—
1434C42—44no—
1435C42—41no—
1436C42—42no—
1437C42—42no—
1438C42—44no—
1439C42—42no—
1440C42—44no—
1441C42C2×#4114yes—
1442C42C2×#4114yes—
1443C23—21no—
1444C23—22no—
1445C23—21no—
1446C23—21no—
1447C23—22no—
1448C23—22no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—22no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—22no—
1458C23—22no—
1459C23—21no—
1460C23—21no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—48no—
1469C23—48no—
1470C23—84no—
1471C23—84no—
1472C23—84no—
1473C23—84no—
1474C23—84no—
1475C23C22×#4112yes—
1476C23C22×#4114yes—
1477C23C22×#4112yes—
1478C23C2611yescharacteristic
1479Q8—48no—
1480Q8—44no—
1481Q8—44no—
1482Q8—84no—
1483D4—28no—
1484D4—44no—
1485D4—48no—
1486D4—48no—
1487D4—44no—
1488D4—84no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—28no—
1504C2×C4—28no—
1505C2×C4—216no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—24no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—24no—
1551C2×C4—24no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—44no—
1573C2×C4—48no—
1574C2×C4—48no—
1575C2×C4—44no—
1576C2×C4—48no—
1577C2×C4—44no—
1578C2×C4—82no—
1579C2×C4—84no—
1580C2×C4—84no—
1581C2×C4—84no—
1582C2×C4—88no—
1583C2×C4—84no—
1584C2×C4—84no—
1585C2×C4C22×#4112yes—
1586C2×C4C22×#4114yes—
1587C2×C4C22×#4112yes—
1588C2×C4C22×#4112yes—
1589C2×C4C22×#4112yes—
1590C2×C4C22×#4112yes—
1591C2×C4C22×#4112yes—
1592C2×C4C22×#4112yes—
1593C2×C4C22×#4112yes—
1594C2×C4#58512yes—
1595C2×C4#58512yes—
1596C2×C4#58512yes—
1597C2×C4#58512yes—
1598C22—24no—
1599C22—22no—
1600C22—22no—
1601C22—24no—
1602C22—22no—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—24no—
1607C22—41no—
1608C22—41no—
1609C22—42no—
1610C22—42no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—42no—
1616C22—41no—
1617C22—42no—
1618C22—41no—
1619C22—42no—
1620C22—42no—
1621C22—42no—
1622C22—42no—
1623C22—42no—
1624C22—42no—
1625C22—42no—
1626C22—816no—
1627C22C23×#4111yescharacteristic
1628C22C23×#4111yescharacteristic
1629C22C2×#58511yescharacteristic
1630C22C2×#58511yescharacteristic
1631C22C2×#58511yescharacteristic
1632C22C2×#58511yescharacteristic
1633C222−1+611yescharacteristic
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—24no—
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—42no—
1642C4—42no—
1643C4—41no—
1644C4—44no—
1645C4—42no—
1646C4—42no—
1647C4—42no—
1648C4—42no—
1649C4—42no—
1650C4—41no—
1651C4—41no—
1652C4—42no—
1653C4—41no—
1654C4—42no—
1655C4—44no—
1656C4—44no—
1657C4—42no—
1658C4—42no—
1659C4—42no—
1660C4—41no—
1661C4—42no—
1662C4—44no—
1663C4#347514yes—
1664C4#352114yes—
1665C2—42no—
1666C2—44no—
1667C2—42no—
1668C2—82no—
1669C2C2×#347511yescharacteristic
1670C2C2×#352111yescharacteristic
1671C2#6281511yescharacteristic
1672C2#6293611yescharacteristic
1673C2#6299311yescharacteristic
1674C2#6299511yescharacteristic
1675C2#6303111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#546C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59566C2semidirect
2. #59554C2semidirect
3. #59448C2semidirect
4. #59427C2semidirect
5. #59302C2semidirect
6. #59293C2semidirect
7. #59242C2semidirect
8. #59201C2semidirect
9. #45365C2semidirect
10. #45150C2semidirect
11. #44490C2semidirect
12. #43639C2semidirect
13. #39939C2semidirect
14. #39935C2semidirect
15. #39737C2semidirect
16. #39734C2semidirect
17. #39018C2semidirect
19. #36590C2semidirect
20. #36485C2semidirect
21. #36417C2semidirect
22. #36416C2semidirect
23. #36405C2semidirect
24. #36207C2semidirect
25. #36181C2semidirect
26. #36161C2semidirect
27. #36037C2semidirect
28. #35789C2semidirect
29. #34941C2semidirect
30. #34814C2semidirect
31. #34318C2semidirect
32. #34188C2semidirect
33. #34186C2semidirect
34. C4×#556C2semidirect
41. #2865C22semidirect
43. #2859C22semidirect
45. #2857C22semidirect
46. #2855C22semidirect
47. #2851C22semidirect
49. #2793C22semidirect
51. #2783C22semidirect
52. #2772C22semidirect
53. #2766C22semidirect
54. #2765C22semidirect
57. #2746C22semidirect
58. #2745C22semidirect
59. #2743C22semidirect
60. #2741C22semidirect
61. #2739C22semidirect
62. #2738C22semidirect
71. #2650C22semidirect
75. #2594C22semidirect
76. #2594C22semidirect
77. #2594C22semidirect
79. #2589C22semidirect
80. #2588C22semidirect
81. #2587C22semidirect
82. #2587C22semidirect
83. #2585C22semidirect
84. #2582C22semidirect
86. #2577C22semidirect
87. #2576C22semidirect
88. #2576C22semidirect
89. #2575C22semidirect
91. #2574C22semidirect
92. #2572C22semidirect
93. #2572C22semidirect
94. #2571C22semidirect
95. #2571C22semidirect
96. #2570C22semidirect
97. #2570C22semidirect
98. #2568C22semidirect
99. #2567C22semidirect
101. #2565C22semidirect
103. #2562C22semidirect
104. #2552C22semidirect
105. #2552C22semidirect
107. #2546C22semidirect
111. #2532C22semidirect
112. #2530C22semidirect
113. #2528C22semidirect
114. #2526C22semidirect
115. #2525C22semidirect
116. #2525C22semidirect
117. #2524C22semidirect
118. #2524C22semidirect
120. #2519C22semidirect
122. #2516C22semidirect
123. #2515C22semidirect
124. #2515C22semidirect
125. #2515C22semidirect
126. #2514C22semidirect
127. #2514C22semidirect
128. #2514C22semidirect
129. #2514C22semidirect
132. #2511C22semidirect
133. #2508C22semidirect
134. #2507C22semidirect
135. #2506C22semidirect
136. #2506C22semidirect
137. #2505C22semidirect
139. #2503C22semidirect
142. #2499C22semidirect
144. #2497C22semidirect
145. #2497C22semidirect
146. #2497C22semidirect
149. #2496C22semidirect
152. #2495C22semidirect
154. #2494C22semidirect
155. #2493C22semidirect
156. #2493C22semidirect
161. #2485C22semidirect
162. #2485C22semidirect
164. #2481C22semidirect
170. #2478C22semidirect
173. #2475C22semidirect
174. #2468C22semidirect
180. #2446C22semidirect
181. #2441C22semidirect
182. #2441C22semidirect
183. #2439C22semidirect
184. #2439C22semidirect
188. #2423C22semidirect
189. #2421C22semidirect
190. #2417C22semidirect
192. #2415C22semidirect
194. #2401C22semidirect
196. #2396C22semidirect
199. #2373C22semidirect
200. #2370C22semidirect
201. #2370C22semidirect
202. #2370C22semidirect
206. #2365C22semidirect
207. #2365C22semidirect
210. #2362C22semidirect
211. #2362C22semidirect
212. #2362C22semidirect
220. #2356C22semidirect
221. #2356C22semidirect
222. #2355C22semidirect
223. #2355C22semidirect
224. #2355C22semidirect
225. #2355C22semidirect
226. #2355C22semidirect
236. #2352C22semidirect
237. #2352C22semidirect
238. #2352C22semidirect
239. #2352C22semidirect
242. #2347C22semidirect
243. #2347C22semidirect
244. #2347C22semidirect
245. #2346C22semidirect
246. #2345C22semidirect
247. #2344C22semidirect
248. #2344C22semidirect
249. #2343C22semidirect
253. #2336C22semidirect
256. #2323C22semidirect
257. #2314C22semidirect
261. C4×C4⋊Q8C22semidirect
262. C4×C4⋊Q8C22semidirect
263. C4×#125C22semidirect
264. C4×#125C22semidirect
266. C4×#126C22semidirect
267. C4×#126C22semidirect
272. C4×C22⋊Q8C22semidirect
273. C4×C22⋊Q8C22semidirect
278. #2298C22semidirect
279. #2296C22semidirect
280. #2296C22semidirect
284. #2285C22semidirect
285. #2285C22semidirect
286. #2285C22semidirect
287. C2×#384C22semidirect
292. #2274C22semidirect
293. C42×Q8C22semidirect
294. C42×Q8C22semidirect
297. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#595662
#595542
#594482
#594272
#593022
#592932
#592422
#592012
#453652
#451502
#444902
#436392
#399392
#399352
#397372
#397342
#390182
#389472
#365902
#364852
#364172
#364162
#364052
#362072
#361812
#361612
#360372
#357892
#349412
#348142
#343182
#341882
#341862
C4×#5562
C4×#5462