Finite Group Databasebeta

← #7693279

Subgroups — #7693279

Order 512.

4693 conjugacy classes of subgroups.

The subgroup lattice has 1616 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59900C214yesmaximal, complemented
2#59771C212yesmaximal, complemented
3#59719C212yesmaximal, complemented
4#59681C211yesmaximal, characteristic, complemented
5#59646C211yesmaximal, characteristic
6#59639C212yesmaximal, complemented
7#59497C212yesmaximal, complemented
8#59426C211yesmaximal, characteristic, complemented
9#45156C212yesmaximal, complemented
10#44969C212yesmaximal, complemented
11#44117C214yesmaximal, complemented
12#43726C214yesmaximal, complemented
13#40016C214yesmaximal, complemented
14#39765C212yesmaximal, complemented
15#39249C212yesmaximal, complemented
16#39245C212yesmaximal, complemented
17#39172C211yesmaximal, characteristic, complemented
18#39168C211yesmaximal, characteristic, complemented
19#36609C211yesmaximal, characteristic, complemented
20#36597C211yesmaximal, characteristic
21#36589C212yesmaximal, complemented
22#36556C211yesmaximal, characteristic, complemented
23#36463C211yesmaximal, characteristic
24#36367C212yesmaximal, complemented
25#36271C212yesmaximal, complemented
26#36271C211yesmaximal, characteristic, complemented
27#35974C212yesmaximal, complemented
28#35860C212yesmaximal, complemented
29#34951C211yesmaximal, characteristic, complemented
30#34915C212yesmaximal, complemented
31#34331C211yesmaximal, characteristic, complemented
32#34326C212yesmaximal, complemented
33#34324C211yesmaximal, characteristic, complemented
34C4×Q82C211yesmaximal, characteristic, complemented
35C4×#556C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×Q82C2211yescharacteristic
38C2×#556C2211yescharacteristic
39C2×#556C2212yes—
40C2×#556C2211yescharacteristic
41#2864C2212yes—
42#2862C2211yescharacteristic
43#2860C2212yes—
44#2860C2214yes—
45#2858C2211yescharacteristic
46#2858C2211yescharacteristic
47#2858C2212yes—
48#2854C2212yes—
49#2808C2214yes—
50#2808C2214yes—
51#2804C2214yes—
52#2803C2214yes—
53#2802C2214yes—
54#2798C2214yes—
55#2798C2214yes—
56#2795C2214yes—
57#2793C2214yes—
58#2790C2214yes—
59#2783C2214yes—
60#2780C2214yes—
61#2779C2214yes—
62#2765C2214yes—
63#2759C2214yes—
64#2724C2214yes—
65#2718C2214yes—
66#2716C2214yes—
67#2716C2214yes—
68#2674C2214yes—
69#2674C2214yes—
70#2654C2214yes—
71#2649C2214yes—
72#2640C2212yes—
73#2640C2212yes—
74#2602C2214yes—
75#2601C2214yes—
76#2601C2214yes—
77#2601C2214yes—
78#2601C2214yes—
79#2597C2214yes—
80#2597C2214yes—
81#2596C2214yes—
82#2596C2214yes—
83#2595C2214yes—
84#2594C2214yes—
85#2593C2214yes—
86#2592C2212yes—
87#2592C2212yes—
88#2592C2212yes—
89#2592C2212yes—
90#2590C2214yes—
91#2589C2214yes—
92#2588C2214yes—
93#2587C2214yes—
94#2585C2212yes—
95#2585C2212yes—
96#2582C2211yescharacteristic
97#2580C2212yes—
98#2573C2214yes—
99#2573C2214yes—
100#2570C2212yes—
101#2568C2212yes—
102#2568C2211yescharacteristic
103#2567C2211yescharacteristic
104#2563C2211yescharacteristic
105#2560C2214yes—
106#2560C2214yes—
107#2560C2214yes—
108#2560C2214yes—
109#2557C2214yes—
110#2554C2214yes—
111#2554C2214yes—
112#2553C2214yes—
113#2552C2211yescharacteristic
114#2548C2211yescharacteristic
115#2548C2212yes—
116#2546C2211yescharacteristic
117#2546C2212yes—
118#2546C2211yescharacteristic
119#2546C2211yescharacteristic
120#2545C2212yes—
121#2545C2212yes—
122#2545C2212yes—
123#2545C2212yes—
124#2544C2212yes—
125#2542C2212yes—
126#2541C2211yescharacteristic
127#2532C2214yes—
128#2532C2214yes—
129#2527C2214yes—
130#2525C2214yes—
131#2525C2214yes—
132#2520C2214yes—
133#2516C2214yes—
134#2514C2212yes—
135#2513C2212yes—
136#2513C2212yes—
137#2513C2212yes—
138#2513C2212yes—
139#2512C2212yes—
140#2512C2212yes—
141#2512C2214yes—
142#2511C2212yes—
143#2511C2212yes—
144#2511C2212yes—
145#2509C2211yescharacteristic
146#2509C2212yes—
147#2509C2211yescharacteristic
148#2509C2212yes—
149#2508C2212yes—
150#2507C2212yes—
151#2500C2212yes—
152#2499C2214yes—
153#2496C2212yes—
154#2494C2212yes—
155#2492C2214yes—
156#2490C2212yes—
157#2490C2212yes—
158#2488C2214yes—
159#2477C2214yes—
160#2470C2214yes—
161#2469C2214yes—
162#2459C2214yes—
163#2458C2214yes—
164#2458C2214yes—
165#2453C2211yescharacteristic
166#2453C2211yescharacteristic
167#2452C2212yes—
168#2452C2212yes—
169#2452C2212yes—
170#2452C2214yes—
171#2450C2214yes—
172#2448C2212yes—
173#2448C2212yes—
174#2448C2212yes—
175#2448C2212yes—
176#2447C2212yes—
177#2447C2212yes—
178#2446C2212yes—
179#2446C2212yes—
180#2446C2212yes—
181#2445C2212yes—
182#2445C2212yes—
183#2439C2212yes—
184#2439C2212yes—
185#2439C2212yes—
186#2426C2212yes—
187#2426C2212yes—
188#2422C2212yes—
189#2421C2212yes—
190#2421C2212yes—
191#2421C2214yes—
192#2420C2212yes—
193#2402C2212yes—
194#2402C2212yes—
195#2401C2214yes—
196#2395C2214yes—
197#2373C2214yes—
198#2373C2214yes—
199#2373C2214yes—
200#2373C2212yes—
201#2373C2212yes—
202#2370C2212yes—
203#2369C2212yes—
204#2369C2212yes—
205#2369C2214yes—
206#2369C2211yescharacteristic
207#2368C2214yes—
208#2367C2212yes—
209#2367C2212yes—
210#2367C2212yes—
211#2367C2212yes—
212#2367C2212yes—
213#2367C2212yes—
214#2367C2212yes—
215#2367C2211yescharacteristic
216#2367C2211yescharacteristic
217#2366C2212yes—
218#2366C2211yescharacteristic
219#2365C2211yescharacteristic
220#2365C2212yes—
221#2365C2211yescharacteristic
222#2365C2212yes—
223#2363C2212yes—
224#2363C2212yes—
225#2363C2212yes—
226#2362C2214yes—
227#2362C2212yes—
228#2362C2212yes—
229#2359C2214yes—
230#2357C2212yes—
231#2357C2212yes—
232#2356C2211yescharacteristic
233#2356C2211yescharacteristic
234#2355C2212yes—
235#2355C2212yes—
236#2355C2212yes—
237#2355C2211yescharacteristic
238#2355C2211yescharacteristic
239#2354C2211yescharacteristic
240#2354C2211yescharacteristic
241#2354C2212yes—
242Q8×C4⋊C4C2211yescharacteristic
243Q8×C4⋊C4C2211yescharacteristic
244Q8×C4⋊C4C2212yes—
245Q8×C4⋊C4C2212yes—
246#2349C2212yes—
247#2347C2212yes—
248#2347C2212yes—
249#2346C2212yes—
250#2343C2214yes—
251#2335C2214yes—
252#2334C2214yes—
253#2334C2214yes—
254#2332C2214yes—
255#2327C2212yes—
256#2326C2212yes—
257#2326C2212yes—
258#2326C2212yes—
259C4×C4⋊Q8C2211yescharacteristic
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2212yes—
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2214yes—
265C4×C4⋊Q8C2212yes—
266C4×C4⋊Q8C2212yes—
267C4×#127C2211yescharacteristic
268C4×#125C2211yescharacteristic
269C4×#125C2212yes—
270C4×#125C2211yescharacteristic
271C4×#126C2214yes—
272C4×#126C2212yes—
273C4×#126C2212yes—
274C4×#124C2211yescharacteristic
275C4×#124C2212yes—
276C4×#124C2212yes—
277C4×#124C2211yescharacteristic
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2212yes—
280C4×#121C2212yes—
281#2298C2214yes—
282#2296C2212yes—
283#2295C2211yescharacteristic
284#2295C2211yescharacteristic
285#2295C2212yes—
286#2293C2212yes—
287#2293C2212yes—
288#2293C2214yes—
289#2276C2212yes—
290#2275C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2212yes—
295C42×Q8C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2212yes—
299#559—28no—
300Q82—28no—
301#556—28no—
302#556—216no—
303#556—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2314yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×#127C2311yescharacteristic
315C2×#127C2312yes—
316C2×#126C2312yes—
317C2×#126C2314yes—
318C2×#126C2312yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#125C2311yescharacteristic
323C2×#125C2311yescharacteristic
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2311yescharacteristic
329C2×#124C2312yes—
330C2×#124C2311yescharacteristic
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2314yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2312yes—
377C2×#117C2314yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2312yes—
382C2×#117C2314yes—
383C22×C42C2312yes—
384#401C2314yes—
385#400C2312yes—
386#400C2314yes—
387#400C2312yes—
388#400C2314yes—
389#400C2314yes—
390#400C2312yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2314yes—
398#400C2312yes—
399#400C2312yes—
400#400C2312yes—
401#400C2312yes—
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#398C2312yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2312yes—
410#398C2312yes—
411#398C2312yes—
412#398C2312yes—
413#398C2312yes—
414#398C2314yes—
415#398C2312yes—
416#398C2312yes—
417#398C2314yes—
418#398C2314yes—
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#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#395C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#393C2314yes—
454#393C2314yes—
455#393C2314yes—
456#393C2314yes—
457#393C2314yes—
458#393C2314yes—
459#393C2314yes—
460#393C2314yes—
461#392C2314yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2314yes—
466#391C2311yescharacteristic
467#391C2314yes—
468#391C2312yes—
469#391C2312yes—
470#391C2311yescharacteristic
471#391C2314yes—
472#391C2314yes—
473#391C2312yes—
474#391C2312yes—
475#391C2314yes—
476#391C2312yes—
477#391C2312yes—
478#391C2311yescharacteristic
479#391C2314yes—
480#391C2311yescharacteristic
481#391C2312yes—
482#391C2312yes—
483#391C2311yescharacteristic
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#391C2312yes—
487#391C2314yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2311yescharacteristic
493#391C2312yes—
494#390C2312yes—
495#390C2314yes—
496#390C2314yes—
497#390C2312yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2314yes—
509#390C2314yes—
510#390C2314yes—
511#390C2312yes—
512#390C2314yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2314yes—
517#390C2312yes—
518#390C2311yescharacteristic
519#390C2311yescharacteristic
520#390C2312yes—
521#390C2312yes—
522#389C2312yes—
523#389C2311yescharacteristic
524#389C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2311yescharacteristic
528#389C2314yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2312yes—
538#389C2314yes—
539#389C2312yes—
540#389C2314yes—
541#389C2312yes—
542#389C2312yes—
543#389C2311yescharacteristic
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2311yescharacteristic
561#389C2312yes—
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2312yes—
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#388C2312yes—
568#388C2314yes—
569#388C2312yes—
570#388C2314yes—
571#388C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2314yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
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#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2314yes—
621#387C2312yes—
622#387C2312yes—
623#387C2314yes—
624#387C2312yes—
625#387C2312yes—
626#387C2314yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2312yes—
686#385C2312yes—
687#384C2311yescharacteristic
688#384C2312yes—
689#384C2312yes—
690#384C2311yescharacteristic
691#384C2314yes—
692#384C2311yescharacteristic
693#384C2312yes—
694#384C2312yes—
695#383C2312yes—
696#383C2312yes—
697#383C2314yes—
698#382C2311yescharacteristic
699#382C2311yescharacteristic
700#382C2312yes—
701#382C2312yes—
702#382C2311yescharacteristic
703#382C2312yes—
704#382C2312yes—
705#382C2314yes—
706#382C2314yes—
707#382C2311yescharacteristic
708#381C2314yes—
709#381C2314yes—
710#380C2312yes—
711#380C2312yes—
712#380C2314yes—
713#380C2312yes—
714#380C2312yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2311yescharacteristic
717C4×C4⋊C4C2311yescharacteristic
718C4×C4⋊C4C2314yes—
719C4×C4⋊C4C2314yes—
720C4×C4⋊C4C2314yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2314yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2311yescharacteristic
727C4×C4⋊C4C2311yescharacteristic
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802#376C2312yes—
803#376C2312yes—
804#376C2314yes—
805#376C2312yes—
806#376C2312yes—
807C2×#95C2314yes—
808C43C2312yes—
809C43C2312yes—
810C43C2314yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2312yes—
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2411yescharacteristic
819C22×Q8C2411yescharacteristic
820C22×Q8C2414yes—
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×D4C2412yes—
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C22×D4C2414yes—
827C22×D4C2412yes—
828C22×D4C2414yes—
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2414yes—
832C23×C4C2414yes—
833C23×C4C2414yes—
834C23×C4C2412yes—
835C4⋊Q8—24no—
836C4⋊Q8—28no—
837C4⋊Q8—28no—
838C4⋊Q8—216no—
839C4⋊Q8—24no—
840C4⋊Q8—28no—
841C4⋊Q8—24no—
842C4⋊Q8—42no—
843C4⋊Q8—44no—
844C4⋊Q8—44no—
845#127—24no—
846#127—44no—
847#126—216no—
848#126—28no—
849#126—216no—
850#126—216no—
851#126—28no—
852#126—84no—
853#125—24no—
854#125—24no—
855#124—28no—
856#124—24no—
857#124—28no—
858#124—28no—
859#124—28no—
860#124—24no—
861#124—28no—
862#124—44no—
863#124—44no—
864#124—82no—
865#123—216no—
866#123—84no—
867#123—84no—
868C22⋊Q8—28no—
869C22⋊Q8—28no—
870C22⋊Q8—216no—
871C22⋊Q8—48no—
872C22⋊Q8—84no—
873#121—28no—
874#121—44no—
875C4×Q8—28no—
876C4×Q8—28no—
877C4×Q8—24no—
878C4×Q8—24no—
879C4×Q8—28no—
880C4×Q8—24no—
881C4×Q8—28no—
882C4×Q8—28no—
883C4×Q8—24no—
884C4×Q8—24no—
885C4×Q8—42no—
886C4×Q8—44no—
887C4×Q8—42no—
888C4×Q8—44no—
889C4×Q8—42no—
890C4×Q8—42no—
891C4×Q8—42no—
892C4×Q8—44no—
893C4×Q8—84no—
894C4×Q8—82no—
895C4×Q8#4118yes—
896C4×Q8#4118yes—
897C4×D4—24no—
898C4×D4—28no—
899C4×D4—28no—
900C4×D4—24no—
901C4×D4—28no—
902C4×D4—44no—
903C4×D4—44no—
904C4×D4—44no—
905C4×D4—42no—
906C4×D4—48no—
907C4×D4—82no—
908#117—28no—
909#117—28no—
910#117—216no—
911#117—44no—
912#117—44no—
913#117—84no—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C42—44no—
1030C2×C42C2412yes—
1031C2×C42C2414yes—
1032C2×C42C2414yes—
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2412yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2414yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2412yes—
1054C2×C42C2414yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2414yes—
1058C2×C42C2411yescharacteristic
1059C2×C42C2414yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2414yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2414yes—
1065C2×C42C2412yes—
1066C2×C42C2414yes—
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2414yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080#95C2412yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2411yescharacteristic
1087#95C2411yescharacteristic
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2411yescharacteristic
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2411yescharacteristic
1123#95C2414yes—
1124#95C2414yes—
1125#95C2411yescharacteristic
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2411yescharacteristic
1135#95C2414yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158C24C2512yes—
1159C24C2514yes—
1160C2×Q8—22no—
1161C2×Q8—22no—
1162C2×Q8—22no—
1163C2×Q8—22no—
1164C2×Q8—24no—
1165C2×Q8—24no—
1166C2×Q8—24no—
1167C2×Q8—28no—
1168C2×Q8—24no—
1169C2×Q8—22no—
1170C2×Q8—22no—
1171C2×Q8—22no—
1172C2×Q8—24no—
1173C2×Q8—22no—
1174C2×Q8—22no—
1175C2×Q8—41no—
1176C2×Q8—44no—
1177C2×Q8—42no—
1178C2×Q8—44no—
1179C2×Q8—42no—
1180C2×Q8—42no—
1181C2×Q8—42no—
1182C2×Q8C2×#4114yes—
1183C2×Q8C2×#4114yes—
1184C2×D4—22no—
1185C2×D4—24no—
1186C2×D4—22no—
1187C2×D4—24no—
1188C2×D4—24no—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—28no—
1192C2×D4—24no—
1193C2×D4—24no—
1194C2×D4—22no—
1195C2×D4—44no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—28no—
1208C22×C4—28no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—42no—
1215C22×C4—44no—
1216C22×C4—42no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4C2512yes—
1221C22×C4C2511yescharacteristic
1222C22×C4C2512yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C22×C4C2512yes—
1228C22×C4C2511yescharacteristic
1229C22×C4C2512yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2514yes—
1234C22×C4C2511yescharacteristic
1235C22×C4C2512yes—
1236C22×C4C2514yes—
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2514yes—
1241C22×C4C2511yescharacteristic
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2511yescharacteristic
1245C22×C4C2511yescharacteristic
1246C22×C4C2512yes—
1247C22×C4C2511yescharacteristic
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2511yescharacteristic
1251C22×C4C2511yescharacteristic
1252C22×C4C2511yescharacteristic
1253C4⋊C4—22no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—28no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—28no—
1261C4⋊C4—24no—
1262C4⋊C4—28no—
1263C4⋊C4—24no—
1264C4⋊C4—22no—
1265C4⋊C4—24no—
1266C4⋊C4—22no—
1267C4⋊C4—24no—
1268C4⋊C4—28no—
1269C4⋊C4—24no—
1270C4⋊C4—28no—
1271C4⋊C4—22no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—28no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—24no—
1294C4⋊C4—42no—
1295C4⋊C4—44no—
1296C4⋊C4—42no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—44no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—44no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—44no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—44no—
1323C4⋊C4C2×#4114yes—
1324C4⋊C4C2×#4114yes—
1325C4⋊C4C2×#4118yes—
1326C4⋊C4C2×#4118yes—
1327C4⋊C42−1+414yes—
1328C22⋊C4—24no—
1329C22⋊C4—28no—
1330C22⋊C4—28no—
1331C22⋊C4—24no—
1332C22⋊C4—28no—
1333C22⋊C4—28no—
1334C22⋊C4—28no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—28no—
1338C22⋊C4—28no—
1339C22⋊C4—24no—
1340C22⋊C4—28no—
1341C22⋊C4—24no—
1342C22⋊C4—28no—
1343C22⋊C4—28no—
1344C22⋊C4—28no—
1345C22⋊C4—28no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—42no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—42no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—42no—
1368C42—24no—
1369C42—28no—
1370C42—28no—
1371C42—24no—
1372C42—22no—
1373C42—24no—
1374C42—22no—
1375C42—24no—
1376C42—28no—
1377C42—24no—
1378C42—24no—
1379C42—22no—
1380C42—22no—
1381C42—22no—
1382C42—22no—
1383C42—24no—
1384C42—22no—
1385C42—22no—
1386C42—22no—
1387C42—22no—
1388C42—22no—
1389C42—22no—
1390C42—24no—
1391C42—42no—
1392C42—42no—
1393C42—42no—
1394C42—42no—
1395C42—44no—
1396C42—42no—
1397C42—44no—
1398C42—44no—
1399C42—41no—
1400C42—44no—
1401C42—44no—
1402C42—42no—
1403C42—41no—
1404C42—41no—
1405C42—42no—
1406C42—44no—
1407C42—42no—
1408C42—41no—
1409C42—42no—
1410C42—42no—
1411C42—44no—
1412C42—41no—
1413C42—42no—
1414C42C2×#4118yes—
1415C42C2×#4118yes—
1416C42C2×#4114yes—
1417C42C2×#4114yes—
1418C23—22no—
1419C23—24no—
1420C23—22no—
1421C23—24no—
1422C23—24no—
1423C23—22no—
1424C23—24no—
1425C23—22no—
1426C23—24no—
1427C23—24no—
1428C23—22no—
1429C23—22no—
1430C23—22no—
1431C23—24no—
1432C23C2611yescharacteristic
1433Q8—28no—
1434Q8—28no—
1435Q8—44no—
1436Q8—44no—
1437Q8—48no—
1438Q8—88no—
1439Q8—84no—
1440Q8—84no—
1441D4—44no—
1442D4—48no—
1443D4—48no—
1444D4—84no—
1445D4—88no—
1446D4—164no—
1447C2×C4—22no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—24no—
1475C2×C4—24no—
1476C2×C4—22no—
1477C2×C4—24no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—24no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—48no—
1532C2×C4—48no—
1533C2×C4—88no—
1534C2×C4—88no—
1535C2×C4—84no—
1536C2×C4—164no—
1537C2×C4C22×#4114yes—
1538C2×C4C22×#4114yes—
1539C2×C4C22×#4114yes—
1540C2×C4C22×#4112yes—
1541C2×C4C22×#4114yes—
1542C2×C4C22×#4112yes—
1543C2×C4C22×#4112yes—
1544C2×C4C22×#4112yes—
1545C2×C4C22×#4112yes—
1546C2×C4C22×#4112yes—
1547C2×C4C2×2−1+414yes—
1548C2×C4C2×2−1+412yes—
1549C2×C4#58512yes—
1550C2×C4#58512yes—
1551C2×C4#58512yes—
1552C22—44no—
1553C22—42no—
1554C22—44no—
1555C22—42no—
1556C22—42no—
1557C22—44no—
1558C22—42no—
1559C22—44no—
1560C22—42no—
1561C22—44no—
1562C22—42no—
1563C22—44no—
1564C22—42no—
1565C22—44no—
1566C22C23×#4111yescharacteristic
1567C22C23×#4111yescharacteristic
1568C22C22×2−1+411yescharacteristic
1569C22C2×#58511yescharacteristic
1570C22C2×#58511yescharacteristic
1571C22C2×#58511yescharacteristic
1572C22H(7,𝔽2)11yescharacteristic
1573C4—22no—
1574C4—24no—
1575C4—22no—
1576C4—24no—
1577C4—24no—
1578C4—22no—
1579C4—24no—
1580C4—22no—
1581C4—24no—
1582C4—41no—
1583C4—42no—
1584C4—41no—
1585C4—42no—
1586C4—42no—
1587C4—44no—
1588C4—42no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—42no—
1593C4—42no—
1594C4—41no—
1595C4—42no—
1596C4—41no—
1597C4—42no—
1598C4—41no—
1599C4—44no—
1600C4—41no—
1601C4—42no—
1602C4—42no—
1603C4—44no—
1604C4#348014yes—
1605C4#350714yes—
1606C2—84no—
1607C2—82no—
1608C2C2×#348011yescharacteristic
1609C2C2×#350711yescharacteristic
1610C2#6281611yescharacteristic
1611C2#6296611yescharacteristic
1612C2#6299911yescharacteristic
1613C2#6301011yescharacteristic
1614C2#6302511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2541C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59900C2semidirect
2. #59771C2semidirect
3. #59719C2semidirect
4. #59681C2semidirect
6. #59639C2semidirect
7. #59497C2semidirect
8. #59426C2semidirect
9. #45156C2semidirect
10. #44969C2semidirect
11. #44117C2semidirect
12. #43726C2semidirect
13. #40016C2semidirect
14. #39765C2semidirect
15. #39249C2semidirect
16. #39245C2semidirect
17. #39172C2semidirect
18. #39168C2semidirect
19. #36609C2semidirect
21. #36589C2semidirect
22. #36556C2semidirect
24. #36367C2semidirect
25. #36271C2semidirect
26. #36271C2semidirect
27. #35974C2semidirect
28. #35860C2semidirect
29. #34951C2semidirect
30. #34915C2semidirect
31. #34331C2semidirect
32. #34326C2semidirect
33. #34324C2semidirect
34. C4×Q82C2semidirect
35. C4×#556C2semidirect

Maximal subgroups

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

subgroupindex
#599002
#597712
#597192
#596812
#596462
#596392
#594972
#594262
#451562
#449692
#441172
#437262
#400162
#397652
#392492
#392452
#391722
#391682
#366092
#365972
#365892
#365562
#364632
#363672
#362712
#359742
#358602
#349512
#349152
#343312
#343262
#343242
C4×Q822
C4×#5562