Finite Group Databasebeta

← #7987487

Subgroups — #7987487

Order 512.

4417 conjugacy classes of subgroups.

The subgroup lattice has 1594 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59679C211yesmaximal, characteristic, complemented
2#59475C212yesmaximal, complemented
3#59450C211yesmaximal, characteristic, complemented
4#59448C212yesmaximal, complemented
5#59429C211yesmaximal, characteristic, complemented
6#51450C214yesmaximal, complemented
7#50978C214yesmaximal, complemented
8#46053C214yesmaximal, complemented
9#45425C212yesmaximal, complemented
10#45391C212yesmaximal, complemented
11#45299C212yesmaximal, complemented
12#45230C212yesmaximal, complemented
13#42596C212yesmaximal, complemented
14#42594C212yesmaximal, complemented
15#42530C212yesmaximal, complemented
16#42525C212yesmaximal, complemented
17#40137C214yesmaximal, complemented
18#39803C212yesmaximal, complemented
19#39771C211yesmaximal, characteristic, complemented
20#39619C211yesmaximal, characteristic, complemented
21#39203C211yesmaximal, characteristic, complemented
22#39174C211yesmaximal, characteristic
23#39065C212yesmaximal, complemented
24#36609C211yesmaximal, characteristic, complemented
25#36591C212yesmaximal, complemented
26#36490C212yesmaximal, complemented
27#36457C211yesmaximal, characteristic
28#36300C211yesmaximal, characteristic, complemented
29#35194C212yesmaximal, complemented
30#35188C212yesmaximal, complemented
31#34920C211yesmaximal, characteristic, complemented
32#34902C211yesmaximal, characteristic, complemented
33#34494C211yesmaximal, characteristic
34#34491C211yesmaximal, characteristic, complemented
35C4×#557C211yesmaximal, characteristic, complemented
36C2×Q82C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×#550C2211yescharacteristic
39#2866C2214yes—
40#2865C2214yes—
41#2862C2211yescharacteristic
42#2861C2214yes—
43#2860C2212yes—
44#2858C2211yescharacteristic
45#2858C2211yescharacteristic
46#2858C2212yes—
47#2831C2214yes—
48#2830C2214yes—
49#2800C2214yes—
50#2798C2214yes—
51#2796C2214yes—
52#2788C2214yes—
53#2786C2214yes—
54#2771C2214yes—
55#2765C2214yes—
56#2763C2214yes—
57#2763C2214yes—
58#2761C2214yes—
59#2761C2214yes—
60#2761C2214yes—
61#2757C2214yes—
62#2757C2214yes—
63#2757C2214yes—
64#2754C2214yes—
65#2751C2214yes—
66#2747C2214yes—
67#2744C2214yes—
68#2742C2214yes—
69#2742C2214yes—
70#2740C2214yes—
71#2739C2214yes—
72#2739C2214yes—
73#2737C2214yes—
74#2723C2214yes—
75#2722C2214yes—
76#2715C2214yes—
77#2713C2214yes—
78#2713C2214yes—
79#2711C2214yes—
80#2711C2214yes—
81#2700C2214yes—
82#2660C2212yes—
83#2654C2214yes—
84#2651C2214yes—
85#2650C2214yes—
86#2650C2214yes—
87#2641C2212yes—
88#2640C2212yes—
89#2638C2214yes—
90#2637C2214yes—
91#2625C2212yes—
92#2601C2214yes—
93#2597C2214yes—
94#2597C2214yes—
95#2596C2212yes—
96#2595C2214yes—
97#2595C2214yes—
98#2594C2212yes—
99#2592C2212yes—
100#2592C2212yes—
101#2592C2211yescharacteristic
102#2592C2212yes—
103#2590C2212yes—
104#2589C2214yes—
105#2589C2214yes—
106#2588C2212yes—
107#2584C2211yescharacteristic
108#2581C2212yes—
109#2581C2211yescharacteristic
110#2581C2211yescharacteristic
111#2580C2212yes—
112#2580C2212yes—
113#2577C2214yes—
114#2577C2214yes—
115#2575C2214yes—
116#2575C2214yes—
117#2574C2214yes—
118#2573C2214yes—
119#2571C2212yes—
120#2571C2212yes—
121#2570C2211yescharacteristic
122#2570C2212yes—
123#2570C2212yes—
124#2568C2211yescharacteristic
125#2568C2212yes—
126#2567C2211yescharacteristic
127#2566C2212yes—
128#2566C2212yes—
129#2565C2212yes—
130#2565C2211yescharacteristic
131#2563C2212yes—
132#2563C2211yescharacteristic
133#2560C2214yes—
134#2550C2211yescharacteristic
135#2548C2211yescharacteristic
136#2548C2212yes—
137#2548C2212yes—
138#2548C2211yescharacteristic
139#2545C2212yes—
140#2545C2211yescharacteristic
141#2542C2211yescharacteristic
142#2538C2212yes—
143#2530C2214yes—
144#2526C2214yes—
145#2526C2214yes—
146#2525C2212yes—
147#2521C2214yes—
148#2521C2214yes—
149#2520C2212yes—
150#2516C2214yes—
151#2516C2214yes—
152#2515C2214yes—
153#2514C2211yescharacteristic
154#2513C2212yes—
155#2513C2212yes—
156#2513C2212yes—
157#2513C2212yes—
158#2513C2212yes—
159#2513C2212yes—
160#2513C2212yes—
161#2512C2212yes—
162#2512C2212yes—
163#2512C2212yes—
164#2512C2211yescharacteristic
165#2511C2212yes—
166#2508C2211yescharacteristic
167#2506C2211yescharacteristic
168#2505C2214yes—
169#2505C2214yes—
170#2503C2212yes—
171#2497C2212yes—
172#2497C2212yes—
173#2493C2214yes—
174#2491C2214yes—
175#2491C2212yes—
176#2491C2212yes—
177#2491C2214yes—
178#2489C2212yes—
179#2489C2212yes—
180#2475C2214yes—
181#2474C2214yes—
182#2474C2214yes—
183#2469C2214yes—
184#2469C2212yes—
185#2468C2214yes—
186#2466C2214yes—
187#2465C2214yes—
188#2462C2212yes—
189#2454C2212yes—
190#2453C2211yescharacteristic
191#2451C2212yes—
192#2451C2212yes—
193#2451C2211yescharacteristic
194#2448C2212yes—
195#2448C2212yes—
196#2448C2212yes—
197#2448C2211yescharacteristic
198#2448C2214yes—
199#2448C2212yes—
200#2447C2212yes—
201#2447C2212yes—
202#2447C2212yes—
203#2447C2212yes—
204#2447C2214yes—
205#2447C2212yes—
206#2447C2212yes—
207#2446C2212yes—
208#2446C2212yes—
209#2446C2211yescharacteristic
210#2440C2212yes—
211#2432C2212yes—
212#2432C2212yes—
213#2426C2212yes—
214#2426C2212yes—
215#2421C2212yes—
216#2421C2212yes—
217#2402C2212yes—
218#2401C2212yes—
219#2399C2212yes—
220#2396C2212yes—
221#2381C2214yes—
222#2377C2214yes—
223#2370C2212yes—
224#2370C2214yes—
225#2369C2211yescharacteristic
226#2367C2212yes—
227#2367C2212yes—
228#2367C2212yes—
229#2367C2212yes—
230#2367C2212yes—
231#2366C2212yes—
232#2366C2211yescharacteristic
233#2365C2212yes—
234#2365C2211yescharacteristic
235#2365C2212yes—
236#2365C2212yes—
237#2361C2212yes—
238#2360C2212yes—
239#2357C2212yes—
240#2357C2212yes—
241#2357C2212yes—
242#2356C2212yes—
243#2356C2212yes—
244#2355C2211yescharacteristic
245#2355C2212yes—
246#2355C2211yescharacteristic
247#2354C2212yes—
248#2351C2212yes—
249Q8×C4⋊C4C2211yescharacteristic
250#2349C2212yes—
251D4×C4⋊C4C2211yescharacteristic
252#2345C2212yes—
253#2343C2214yes—
254#2341C2212yes—
255#2341C2212yes—
256#2339C2212yes—
257#2331C2212yes—
258#2331C2212yes—
259#2328C2212yes—
260#2327C2212yes—
261#2327C2214yes—
262#2326C2212yes—
263#2326C2212yes—
264#2325C2214yes—
265#2324C2212yes—
266#2323C2212yes—
267#2320C2212yes—
268#2320C2212yes—
269#2319C2212yes—
270#2311C2212yes—
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2212yes—
276C4×#127C2211yescharacteristic
277C4×#125C2211yescharacteristic
278C4×#125C2212yes—
279C4×#125C2212yes—
280C4×#125C2211yescharacteristic
281C4×#125C2214yes—
282C4×#126C2212yes—
283C4×#124C2211yescharacteristic
284C4×#124C2212yes—
285C4×#124C2211yescharacteristic
286C4×#124C2214yes—
287#2298C2212yes—
288#2295C2211yescharacteristic
289#2295C2211yescharacteristic
290#2295C2212yes—
291#2295C2211yescharacteristic
292#2293C2211yescharacteristic
293#2293C2212yes—
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C42×Q8C2212yes—
298C42×Q8C2212yes—
299C22×#41C2312yes—
300Q82—28no—
301#557—28no—
302#550—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2314yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×#127C2311yescharacteristic
312C2×#127C2312yes—
313C2×#126C2312yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#125C2311yescharacteristic
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#124C2312yes—
322C2×#124C2311yescharacteristic
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2311yescharacteristic
327C2×#124C2312yes—
328C2×#124C2314yes—
329C2×#124C2314yes—
330C2×#124C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×#121C2312yes—
335C2×#121C2314yes—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2314yes—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2314yes—
365C2×#117C2312yes—
366C2×#117C2314yes—
367C22×C4⋊C4C2312yes—
368#401C2312yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2312yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2312yes—
381#400C2314yes—
382#400C2314yes—
383#400C2312yes—
384#400C2312yes—
385#400C2312yes—
386#400C2312yes—
387#400C2312yes—
388#400C2312yes—
389#399C2314yes—
390#399C2314yes—
391#399C2314yes—
392#399C2314yes—
393#399C2312yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2312yes—
398#398C2312yes—
399#398C2314yes—
400#398C2314yes—
401#398C2312yes—
402#398C2312yes—
403#398C2312yes—
404#398C2312yes—
405#398C2312yes—
406#398C2312yes—
407#398C2312yes—
408#398C2312yes—
409#398C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2312yes—
423#397C2312yes—
424#397C2314yes—
425#397C2314yes—
426#397C2312yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2312yes—
441#396C2314yes—
442#396C2312yes—
443#396C2312yes—
444#395C2314yes—
445#395C2314yes—
446#395C2312yes—
447#395C2314yes—
448#395C2312yes—
449#395C2312yes—
450#395C2312yes—
451#395C2314yes—
452#395C2312yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#393C2314yes—
467#393C2314yes—
468#393C2312yes—
469#393C2314yes—
470#391C2312yes—
471#391C2311yescharacteristic
472#391C2312yes—
473#391C2311yescharacteristic
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2311yescharacteristic
480#391C2311yescharacteristic
481#391C2311yescharacteristic
482#391C2312yes—
483#391C2312yes—
484#391C2314yes—
485#391C2314yes—
486#391C2312yes—
487#391C2314yes—
488#391C2311yescharacteristic
489#391C2312yes—
490#391C2312yes—
491#391C2311yescharacteristic
492#391C2311yescharacteristic
493#391C2314yes—
494#391C2314yes—
495#391C2314yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2311yescharacteristic
501#391C2311yescharacteristic
502#390C2314yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2314yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2311yescharacteristic
519#390C2312yes—
520#390C2312yes—
521#390C2311yescharacteristic
522#390C2311yescharacteristic
523#390C2312yes—
524#390C2314yes—
525#390C2314yes—
526#390C2314yes—
527#390C2314yes—
528#390C2314yes—
529#390C2312yes—
530#390C2311yescharacteristic
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2314yes—
542#389C2314yes—
543#389C2311yescharacteristic
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2311yescharacteristic
548#389C2311yescharacteristic
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2312yes—
554#389C2314yes—
555#389C2312yes—
556#389C2312yes—
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2311yescharacteristic
562#389C2314yes—
563#389C2314yes—
564#389C2312yes—
565#389C2312yes—
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2314yes—
625#387C2312yes—
626#387C2314yes—
627#387C2312yes—
628#387C2312yes—
629#387C2314yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2312yes—
659#387C2314yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#384C2312yes—
702#384C2311yescharacteristic
703#384C2312yes—
704#384C2312yes—
705#383C2312yes—
706#383C2314yes—
707#383C2314yes—
708#382C2311yescharacteristic
709#382C2311yescharacteristic
710#382C2312yes—
711#382C2314yes—
712#382C2312yes—
713#382C2312yes—
714#382C2311yescharacteristic
715#382C2312yes—
716#382C2311yescharacteristic
717#382C2312yes—
718#382C2312yes—
719#382C2312yes—
720#382C2314yes—
721#382C2314yes—
722#382C2314yes—
723#381C2314yes—
724#381C2314yes—
725#381C2314yes—
726#381C2314yes—
727#381C2314yes—
728#381C2314yes—
729#380C2312yes—
730#380C2312yes—
731#380C2314yes—
732#380C2314yes—
733#380C2314yes—
734#380C2314yes—
735#380C2312yes—
736#380C2314yes—
737#380C2314yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2314yes—
806C2×#95C2314yes—
807C43C2312yes—
808C43C2312yes—
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2314yes—
812C43C2311yescharacteristic
813C2×#41—28no—
814C2×#41—44no—
815C2×#41—44no—
816C22×Q8C2412yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2411yescharacteristic
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2414yes—
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×D4C2412yes—
825C22×D4C2411yescharacteristic
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2414yes—
829C22×D4C2414yes—
830C23×C4C2412yes—
831C23×C4C2414yes—
832C23×C4C2414yes—
833C23×C4C2414yes—
834C23×C4C2414yes—
835C4⋊Q8—28no—
836C4⋊Q8—24no—
837C4⋊Q8—28no—
838C4⋊Q8—216no—
839C4⋊Q8—24no—
840C4⋊Q8—28no—
841C4⋊Q8—24no—
842C4⋊Q8—42no—
843#127—28no—
844#127—24no—
845#126—44no—
846#126—84no—
847#126—84no—
848#125—216no—
849#125—28no—
850#125—42no—
851#125—42no—
852#125—44no—
853#124—28no—
854#124—24no—
855#124—44no—
856#124—48no—
857#124—44no—
858#124—42no—
859#124—44no—
860#124—44no—
861#124—84no—
862#124—82no—
863C22⋊Q8—44no—
864C22⋊Q8—44no—
865C22⋊Q8—84no—
866#121—28no—
867#121—216no—
868C4×Q8—28no—
869C4×Q8—24no—
870C4×Q8—28no—
871C4×Q8—28no—
872C4×Q8—24no—
873C4×Q8—28no—
874C4×Q8—24no—
875C4×Q8—42no—
876C4×Q8—42no—
877C4×Q8—44no—
878C4×Q8—42no—
879C4×Q8—44no—
880C4×Q8—44no—
881C4×Q8—42no—
882C4×Q8—44no—
883C4×Q8—42no—
884C4×Q8—42no—
885C4×Q8—84no—
886C4×Q8—82no—
887C4×Q8#4118yes—
888C4×D4—28no—
889C4×D4—24no—
890C4×D4—44no—
891C4×D4—44no—
892C4×D4—44no—
893C4×D4—44no—
894C4×D4—44no—
895C4×D4—82no—
896C4×D4—84no—
897#117—44no—
898#117—48no—
899C2×C4⋊C4—44no—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2412yes—
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2412yes—
1027C2×C42C2411yescharacteristic
1028C2×C42C2414yes—
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2414yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2414yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2414yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2414yes—
1046C2×C42C2414yes—
1047C2×C42C2414yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2414yes—
1052C2×C42C2414yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060#95C2412yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2414yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2411yescharacteristic
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2411yescharacteristic
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2411yescharacteristic
1110#95C2412yes—
1111#95C2412yes—
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2414yes—
1115#95C2411yescharacteristic
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144C24C2512yes—
1145C24C2514yes—
1146#41—816no—
1147C2×Q8—22no—
1148C2×Q8—22no—
1149C2×Q8—24no—
1150C2×Q8—28no—
1151C2×Q8—24no—
1152C2×Q8—22no—
1153C2×Q8—22no—
1154C2×Q8—22no—
1155C2×Q8—22no—
1156C2×Q8—24no—
1157C2×Q8—24no—
1158C2×Q8—22no—
1159C2×Q8—41no—
1160C2×Q8—41no—
1161C2×Q8—41no—
1162C2×Q8—42no—
1163C2×Q8—44no—
1164C2×Q8—42no—
1165C2×Q8—42no—
1166C2×Q8—42no—
1167C2×Q8—44no—
1168C2×Q8—42no—
1169C2×Q8C2×#4114yes—
1170C2×Q82−1+414yes—
1171C2×D4—22no—
1172C2×D4—24no—
1173C2×D4—24no—
1174C2×D4—28no—
1175C2×D4—24no—
1176C2×D4—28no—
1177C2×D4—24no—
1178C2×D4—22no—
1179C2×D4—24no—
1180C2×D4—22no—
1181C2×D4—24no—
1182C2×D4—24no—
1183C2×D4—42no—
1184C2×D4—44no—
1185C2×D4—42no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C22×C4—24no—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—28no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4—44no—
1197C22×C4—44no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—44no—
1204C22×C4C2512yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2511yescharacteristic
1209C22×C4C2512yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2511yescharacteristic
1214C22×C4C2512yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2514yes—
1217C22×C4C2512yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2514yes—
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C22×C4C2511yescharacteristic
1223C22×C4C2514yes—
1224C22×C4C2512yes—
1225C22×C4C2511yescharacteristic
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2511yescharacteristic
1229C22×C4C2512yes—
1230C22×C4C2512yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C22×C4C2511yescharacteristic
1237C4⋊C4—22no—
1238C4⋊C4—24no—
1239C4⋊C4—22no—
1240C4⋊C4—28no—
1241C4⋊C4—28no—
1242C4⋊C4—24no—
1243C4⋊C4—28no—
1244C4⋊C4—24no—
1245C4⋊C4—28no—
1246C4⋊C4—24no—
1247C4⋊C4—22no—
1248C4⋊C4—24no—
1249C4⋊C4—28no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—22no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—22no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—22no—
1259C4⋊C4—24no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—44no—
1268C4⋊C4—42no—
1269C4⋊C4—44no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—44no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—41no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—42no—
1286C4⋊C4—41no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4C2×#4114yes—
1312C4⋊C4C2×#4118yes—
1313C22⋊C4—28no—
1314C22⋊C4—24no—
1315C22⋊C4—24no—
1316C22⋊C4—28no—
1317C22⋊C4—24no—
1318C22⋊C4—28no—
1319C22⋊C4—28no—
1320C22⋊C4—24no—
1321C22⋊C4—42no—
1322C22⋊C4—44no—
1323C22⋊C4—42no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—42no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—42no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—42no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—42no—
1346C22⋊C4—44no—
1347C22⋊C4—42no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—44no—
1354C42—28no—
1355C42—24no—
1356C42—28no—
1357C42—24no—
1358C42—24no—
1359C42—22no—
1360C42—22no—
1361C42—24no—
1362C42—22no—
1363C42—22no—
1364C42—24no—
1365C42—24no—
1366C42—22no—
1367C42—24no—
1368C42—22no—
1369C42—22no—
1370C42—22no—
1371C42—24no—
1372C42—22no—
1373C42—22no—
1374C42—22no—
1375C42—22no—
1376C42—24no—
1377C42—22no—
1378C42—44no—
1379C42—41no—
1380C42—44no—
1381C42—42no—
1382C42—44no—
1383C42—41no—
1384C42—41no—
1385C42—44no—
1386C42—42no—
1387C42—42no—
1388C42—44no—
1389C42—41no—
1390C42—44no—
1391C42—44no—
1392C42—41no—
1393C42—42no—
1394C42—42no—
1395C42C2×#4118yes—
1396C42C2×#4114yes—
1397C23—22no—
1398C23—24no—
1399C23—22no—
1400C23—24no—
1401C23—22no—
1402C23—24no—
1403C23—22no—
1404C23—24no—
1405C23—22no—
1406C23—24no—
1407C23—24no—
1408C23—22no—
1409C23—24no—
1410C23—22no—
1411C23C2611yescharacteristic
1412Q8—28no—
1413Q8—28no—
1414Q8—44no—
1415Q8—48no—
1416Q8—44no—
1417Q8—84no—
1418Q8—88no—
1419Q8—84no—
1420D4—48no—
1421D4—48no—
1422D4—44no—
1423D4—84no—
1424D4—88no—
1425D4—88no—
1426C2×C4—22no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—21no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—24no—
1439C2×C4—24no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—21no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—24no—
1481C2×C4—24no—
1482C2×C4—24no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—24no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—48no—
1515C2×C4—88no—
1516C2×C4—88no—
1517C2×C4—164no—
1518C2×C4—164no—
1519C2×C4C22×#4114yes—
1520C2×C4C22×#4114yes—
1521C2×C4C22×#4112yes—
1522C2×C4C22×#4112yes—
1523C2×C4C22×#4112yes—
1524C2×C4C2×2−1+414yes—
1525C2×C4C2×2−1+412yes—
1526C2×C4#58512yes—
1527C2×C4#58512yes—
1528C2×C4#58512yes—
1529C2×C4#58512yes—
1530C22—42no—
1531C22—44no—
1532C22—44no—
1533C22—42no—
1534C22—42no—
1535C22—44no—
1536C22—44no—
1537C22—42no—
1538C22—42no—
1539C22—44no—
1540C22—42no—
1541C22—44no—
1542C22—42no—
1543C22—44no—
1544C22C23×#4111yescharacteristic
1545C22C22×2−1+411yescharacteristic
1546C22C2×#58511yescharacteristic
1547C22C2×#58511yescharacteristic
1548C22C2×#58511yescharacteristic
1549C22C2×#58511yescharacteristic
1550C22H(7,𝔽2)11yescharacteristic
1551C4—22no—
1552C4—24no—
1553C4—22no—
1554C4—24no—
1555C4—24no—
1556C4—42no—
1557C4—44no—
1558C4—42no—
1559C4—42no—
1560C4—42no—
1561C4—42no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—42no—
1567C4—41no—
1568C4—42no—
1569C4—42no—
1570C4—44no—
1571C4—41no—
1572C4—42no—
1573C4—42no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—44no—
1578C4—41no—
1579C4—42no—
1580C4—42no—
1581C4—41no—
1582C4#351014yes—
1583C4#351614yes—
1584C2—84no—
1585C2—82no—
1586C2#6276211yescharacteristic
1587C2C2×#351611yescharacteristic
1588C2C2×#351011yescharacteristic
1589C2#6295211yescharacteristic
1590C2#6296611yescharacteristic
1591C2#6301011yescharacteristic
1592C2#6303311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#550C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59679C2semidirect
2. #59475C2semidirect
3. #59450C2semidirect
4. #59448C2semidirect
5. #59429C2semidirect
6. #51450C2semidirect
7. #50978C2semidirect
8. #46053C2semidirect
9. #45425C2semidirect
10. #45391C2semidirect
11. #45299C2semidirect
12. #45230C2semidirect
13. #42596C2semidirect
14. #42594C2semidirect
15. #42530C2semidirect
16. #42525C2semidirect
17. #40137C2semidirect
18. #39803C2semidirect
19. #39771C2semidirect
20. #39619C2semidirect
21. #39203C2semidirect
23. #39065C2semidirect
24. #36609C2semidirect
25. #36591C2semidirect
26. #36490C2semidirect
28. #36300C2semidirect
29. #35194C2semidirect
30. #35188C2semidirect
31. #34920C2semidirect
32. #34902C2semidirect
34. #34491C2semidirect
35. C4×#557C2semidirect

Maximal subgroups

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

subgroupindex
#596792
#594752
#594502
#594482
#594292
#514502
#509782
#460532
#454252
#453912
#452992
#452302
#425962
#425942
#425302
#425252
#401372
#398032
#397712
#396192
#392032
#391742
#390652
#366092
#365912
#364902
#364572
#363002
#351942
#351882
#349202
#349022
#344942
#344912
C4×#5572