Finite Group Databasebeta

← #7690609

Subgroups — #7690609

Order 512.

4657 conjugacy classes of subgroups.

The subgroup lattice has 1598 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59869C211yesmaximal, characteristic, complemented
2#59868C212yesmaximal, complemented
3#59574C212yesmaximal, complemented
4#59567C212yesmaximal, complemented
5#59506C212yesmaximal, complemented
6#59450C211yesmaximal, characteristic, complemented
7#59436C211yesmaximal, characteristic, complemented
8#59344C214yesmaximal, complemented
9#45150C212yesmaximal, complemented
10#45119C212yesmaximal, complemented
11#43635C214yesmaximal, complemented
12#43521C214yesmaximal, complemented
13#40348C214yesmaximal, complemented
14#39819C212yesmaximal, complemented
15#39536C212yesmaximal, complemented
16#39490C211yesmaximal, characteristic, complemented
17#39008C212yesmaximal, complemented
18#38955C211yesmaximal, characteristic
19#36608C211yesmaximal, characteristic, complemented
20#36556C211yesmaximal, characteristic, complemented
21#36476C211yesmaximal, characteristic, complemented
22#36406C211yesmaximal, characteristic
23#36313C211yesmaximal, characteristic, complemented
24#36307C212yesmaximal, complemented
25#36250C212yesmaximal, complemented
26#36177C212yesmaximal, complemented
27#35846C212yesmaximal, complemented
28#35789C212yesmaximal, complemented
29#34913C212yesmaximal, complemented
30#34893C211yesmaximal, characteristic, complemented
31#34322C211yesmaximal, characteristic, complemented
32#34308C211yesmaximal, characteristic
33#34252C212yesmaximal, complemented
34C4×#554C211yesmaximal, characteristic, complemented
35C4×#556C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#556C2211yescharacteristic
38C2×#554C2211yescharacteristic
39C2×#547C2211yescharacteristic
40C2×#520C2212yes—
41#2864C2212yes—
42#2863C2212yes—
43#2862C2211yescharacteristic
44#2862C2211yescharacteristic
45#2862C2211yescharacteristic
46#2857C2212yes—
47#2855C2214yes—
48#2855C2212yes—
49#2809C2214yes—
50#2802C2214yes—
51#2787C2214yes—
52#2782C2214yes—
53#2776C2214yes—
54#2774C2214yes—
55#2771C2214yes—
56#2770C2214yes—
57#2767C2214yes—
58#2746C2214yes—
59#2746C2214yes—
60#2745C2214yes—
61#2745C2214yes—
62#2745C2214yes—
63#2744C2214yes—
64#2743C2214yes—
65#2738C2214yes—
66#2689C2214yes—
67#2689C2214yes—
68#2687C2214yes—
69#2687C2214yes—
70#2652C2214yes—
71#2638C2214yes—
72#2621C2212yes—
73#2621C2212yes—
74#2607C2214yes—
75#2606C2214yes—
76#2599C2214yes—
77#2590C2214yes—
78#2589C2212yes—
79#2589C2214yes—
80#2588C2214yes—
81#2588C2214yes—
82#2587C2212yes—
83#2585C2214yes—
84#2584C2211yescharacteristic
85#2583C2214yes—
86#2581C2212yes—
87#2581C2212yes—
88#2581C2212yes—
89#2580C2211yescharacteristic
90#2580C2212yes—
91#2578C2214yes—
92#2577C2214yes—
93#2576C2214yes—
94#2575C2214yes—
95#2575C2214yes—
96#2575C2214yes—
97#2573C2214yes—
98#2572C2214yes—
99#2571C2212yes—
100#2571C2212yes—
101#2570C2212yes—
102#2570C2212yes—
103#2568C2211yescharacteristic
104#2568C2212yes—
105#2568C2212yes—
106#2567C2211yescharacteristic
107#2566C2211yescharacteristic
108#2563C2211yescharacteristic
109#2553C2214yes—
110#2553C2214yes—
111#2550C2211yescharacteristic
112#2546C2212yes—
113#2546C2211yescharacteristic
114#2546C2211yescharacteristic
115#2542C2211yescharacteristic
116#2533C2214yes—
117#2533C2214yes—
118#2533C2214yes—
119#2530C2214yes—
120#2528C2214yes—
121#2528C2214yes—
122#2528C2214yes—
123#2527C2214yes—
124#2524C2214yes—
125#2524C2214yes—
126#2523C2214yes—
127#2522C2212yes—
128#2520C2214yes—
129#2517C2214yes—
130#2514C2212yes—
131#2514C2212yes—
132#2514C2212yes—
133#2514C2212yes—
134#2514C2212yes—
135#2514C2212yes—
136#2514C2214yes—
137#2514C2212yes—
138#2514C2212yes—
139#2514C2212yes—
140#2511C2212yes—
141#2511C2212yes—
142#2509C2211yescharacteristic
143#2509C2214yes—
144#2509C2212yes—
145#2508C2212yes—
146#2508C2212yes—
147#2508C2212yes—
148#2508C2214yes—
149#2507C2211yescharacteristic
150#2505C2214yes—
151#2505C2214yes—
152#2503C2212yes—
153#2503C2212yes—
154#2503C2212yes—
155#2499C2212yes—
156#2499C2212yes—
157#2495C2212yes—
158#2494C2212yes—
159#2493C2214yes—
160#2493C2214yes—
161#2493C2214yes—
162#2492C2212yes—
163#2489C2212yes—
164#2484C2214yes—
165#2478C2214yes—
166#2478C2214yes—
167#2477C2214yes—
168#2466C2214yes—
169#2466C2214yes—
170#2465C2212yes—
171#2454C2211yescharacteristic
172#2453C2212yes—
173#2453C2212yes—
174#2453C2212yes—
175#2452C2211yescharacteristic
176#2447C2212yes—
177#2447C2212yes—
178#2447C2212yes—
179#2447C2212yes—
180#2446C2212yes—
181#2446C2212yes—
182#2442C2212yes—
183#2442C2212yes—
184#2442C2212yes—
185#2432C2212yes—
186#2432C2212yes—
187#2427C2212yes—
188#2427C2212yes—
189#2423C2212yes—
190#2421C2212yes—
191#2420C2212yes—
192#2420C2212yes—
193#2401C2214yes—
194#2396C2212yes—
195#2396C2212yes—
196#2395C2214yes—
197#2373C2214yes—
198#2373C2212yes—
199#2373C2212yes—
200#2370C2212yes—
201#2369C2211yescharacteristic
202#2369C2212yes—
203#2368C2214yes—
204#2367C2212yes—
205#2367C2211yescharacteristic
206#2367C2211yescharacteristic
207#2365C2211yescharacteristic
208#2365C2212yes—
209#2365C2212yes—
210#2365C2211yescharacteristic
211#2365C2211yescharacteristic
212#2362C2212yes—
213#2361C2212yes—
214#2360C2212yes—
215#2360C2212yes—
216#2360C2212yes—
217#2360C2212yes—
218#2360C2212yes—
219#2360C2212yes—
220#2359C2214yes—
221#2357C2212yes—
222#2357C2212yes—
223#2356C2212yes—
224#2356C2212yes—
225#2356C2212yes—
226#2356C2211yescharacteristic
227#2356C2212yes—
228#2356C2211yescharacteristic
229#2355C2211yescharacteristic
230#2355C2211yescharacteristic
231#2355C2211yescharacteristic
232#2355C2212yes—
233#2355C2212yes—
234#2355C2212yes—
235#2354C2212yes—
236#2354C2211yescharacteristic
237#2351C2212yes—
238#2349C2212yes—
239D4×C4⋊C4C2211yescharacteristic
240D4×C4⋊C4C2211yescharacteristic
241#2347C2212yes—
242#2347C2214yes—
243#2346C2212yes—
244#2346C2214yes—
245#2345C2214yes—
246#2345C2212yes—
247#2344C2212yes—
248#2344C2212yes—
249#2344C2214yes—
250#2343C2214yes—
251#2339C2212yes—
252#2334C2214yes—
253#2323C2212yes—
254#2323C2212yes—
255#2322C2214yes—
256#2318C2214yes—
257#2318C2214yes—
258#2317C2212yes—
259#2311C2212yes—
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2211yescharacteristic
265C4×#125C2211yescharacteristic
266C4×#125C2211yescharacteristic
267C4×#125C2212yes—
268C4×#125C2212yes—
269C4×#126C2212yes—
270C4×#126C2212yes—
271C4×#124C2212yes—
272C4×#124C2211yescharacteristic
273C4×#124C2211yescharacteristic
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2214yes—
279C4×#121C2212yes—
280#2297C2212yes—
281#2296C2212yes—
282#2295C2212yes—
283#2295C2212yes—
284#2293C2211yescharacteristic
285#2293C2211yescharacteristic
286C2×#389C2212yes—
287#2290C2214yes—
288#2290C2214yes—
289#2283C2214yes—
290#2274C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2212yes—
297C4×#117C2212yes—
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2312yes—
300#556—28no—
301#556—28no—
302#554—28no—
303#547—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×#126C2312yes—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#125C2311yescharacteristic
315C2×#125C2312yes—
316C2×#125C2311yescharacteristic
317C2×#124C2312yes—
318C2×#124C2311yescharacteristic
319C2×#124C2311yescharacteristic
320C2×#123C2314yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×#121C2312yes—
330#520—216no—
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2314yes—
349C2×C4×D4C2314yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×#117C2312yes—
359C2×#117C2312yes—
360C2×#117C2314yes—
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2314yes—
364C2×#117C2312yes—
365C22×C4⋊C4C2312yes—
366C22×C4⋊C4C2314yes—
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2312yes—
370C22×C42C2314yes—
371C22×C42C2312yes—
372C22×C42C2312yes—
373#401C2314yes—
374#401C2314yes—
375#401C2314yes—
376#401C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2312yes—
394#400C2312yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#399C2312yes—
404#399C2314yes—
405#399C2314yes—
406#399C2312yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2312yes—
412#398C2314yes—
413#398C2312yes—
414#398C2314yes—
415#398C2314yes—
416#398C2312yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2312yes—
421#398C2314yes—
422#398C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#396C2312yes—
436#396C2312yes—
437#396C2312yes—
438#396C2312yes—
439#395C2314yes—
440#395C2314yes—
441#395C2312yes—
442#395C2312yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#393C2314yes—
448#393C2312yes—
449#393C2314yes—
450#393C2312yes—
451#391C2312yes—
452#391C2311yescharacteristic
453#391C2311yescharacteristic
454#391C2312yes—
455#391C2312yes—
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#391C2312yes—
460#391C2314yes—
461#391C2312yes—
462#391C2314yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2314yes—
476#391C2314yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2311yescharacteristic
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2311yescharacteristic
487#390C2312yes—
488#390C2311yescharacteristic
489#390C2311yescharacteristic
490#390C2311yescharacteristic
491#390C2312yes—
492#390C2311yescharacteristic
493#390C2311yescharacteristic
494#390C2311yescharacteristic
495#389C2312yes—
496#389C2311yescharacteristic
497#389C2311yescharacteristic
498#389C2312yes—
499#389C2311yescharacteristic
500#389C2312yes—
501#389C2312yes—
502#389C2311yescharacteristic
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2311yescharacteristic
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2311yescharacteristic
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2314yes—
519#389C2314yes—
520#389C2312yes—
521#389C2312yes—
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#389C2314yes—
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2312yes—
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2311yescharacteristic
534#389C2314yes—
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2311yescharacteristic
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2311yescharacteristic
546#388C2312yes—
547#388C2312yes—
548#388C2312yes—
549#388C2312yes—
550#388C2312yes—
551#388C2312yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2312yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2312yes—
565#388C2312yes—
566#388C2312yes—
567#388C2314yes—
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#388C2312yes—
572#387C2312yes—
573#387C2312yes—
574#387C2312yes—
575#387C2312yes—
576#387C2312yes—
577#387C2312yes—
578#387C2312yes—
579#387C2314yes—
580#387C2314yes—
581#387C2312yes—
582#387C2312yes—
583#387C2312yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2312yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#385C2312yes—
641#385C2312yes—
642#385C2314yes—
643#385C2314yes—
644#385C2312yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2312yes—
649#385C2314yes—
650#385C2314yes—
651#385C2312yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2312yes—
662#385C2312yes—
663#385C2312yes—
664#384C2311yescharacteristic
665#384C2311yescharacteristic
666#384C2311yescharacteristic
667#384C2312yes—
668#384C2312yes—
669#383C2312yes—
670#383C2312yes—
671#383C2314yes—
672#383C2314yes—
673#383C2314yes—
674#383C2314yes—
675#383C2314yes—
676#383C2314yes—
677#382C2311yescharacteristic
678#382C2312yes—
679#382C2311yescharacteristic
680#382C2312yes—
681#382C2312yes—
682#382C2312yes—
683#382C2314yes—
684#382C2314yes—
685#382C2311yescharacteristic
686#382C2312yes—
687#382C2311yescharacteristic
688#382C2314yes—
689#382C2314yes—
690#382C2312yes—
691#382C2314yes—
692#382C2314yes—
693#382C2312yes—
694#382C2312yes—
695#382C2312yes—
696#382C2312yes—
697#381C2314yes—
698#381C2314yes—
699#381C2314yes—
700#381C2314yes—
701#381C2314yes—
702#381C2314yes—
703#381C2314yes—
704#381C2314yes—
705#381C2314yes—
706#380C2312yes—
707#380C2312yes—
708#380C2314yes—
709#380C2314yes—
710#380C2312yes—
711#380C2314yes—
712#380C2314yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2314yes—
717#380C2314yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2311yescharacteristic
720C4×C4⋊C4C2311yescharacteristic
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2311yescharacteristic
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2311yescharacteristic
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2311yescharacteristic
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803#376C2314yes—
804#376C2314yes—
805#376C2314yes—
806#376C2312yes—
807#376C2312yes—
808C2×#95C2314yes—
809C2×#95C2314yes—
810C43C2312yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C2×#41—28no—
816C2×#41—28no—
817C2×#41—44no—
818C22×Q8C2411yescharacteristic
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×D4C2414yes—
826C22×D4C2411yescharacteristic
827C22×D4C2411yescharacteristic
828C23×C4C2412yes—
829C23×C4C2414yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2414yes—
833C23×C4C2414yes—
834C23×C4C2414yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C4⋊Q8—24no—
839C4⋊Q8—24no—
840C4⋊Q8—24no—
841C4⋊Q8—24no—
842C4⋊Q8—24no—
843C4⋊Q8—44no—
844C4⋊Q8—44no—
845#126—28no—
846#126—28no—
847#126—216no—
848#125—28no—
849#125—24no—
850#125—42no—
851#124—28no—
852#124—24no—
853#124—24no—
854#123—216no—
855C22⋊Q8—28no—
856C22⋊Q8—28no—
857C22⋊Q8—28no—
858C22⋊Q8—28no—
859C22⋊Q8—28no—
860C22⋊Q8—216no—
861C22⋊Q8—44no—
862C22⋊Q8—44no—
863#121—28no—
864C4×Q8—28no—
865C4×Q8—24no—
866C4×Q8—24no—
867C4×Q8—28no—
868C4×Q8—28no—
869C4×Q8—24no—
870C4×Q8—24no—
871C4×Q8—24no—
872C4×Q8—42no—
873C4×Q8—44no—
874C4×Q8—44no—
875C4×Q8—42no—
876C4×Q8—42no—
877C4×Q8—44no—
878C4×Q8—42no—
879C4×Q8—44no—
880C4×D4—28no—
881C4×D4—28no—
882C4×D4—216no—
883C4×D4—24no—
884C4×D4—216no—
885C4×D4—24no—
886C4×D4—44no—
887C4×D4—42no—
888C4×D4—42no—
889C4×D4#4118yes—
890C4×D4#4118yes—
891#117—28no—
892#117—28no—
893#117—216no—
894#117—28no—
895#117—44no—
896#117—44no—
897#117—48no—
898C2×C4⋊C4—216no—
899C2×C4⋊C4—28no—
900C2×C4⋊C4—28no—
901C2×C4⋊C4—28no—
902C2×C4⋊C4—44no—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C42—48no—
1013C2×C42—44no—
1014C2×C42—44no—
1015C2×C42C2411yescharacteristic
1016C2×C42C2414yes—
1017C2×C42C2414yes—
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2414yes—
1022C2×C42C2412yes—
1023C2×C42C2414yes—
1024C2×C42C2412yes—
1025C2×C42C2411yescharacteristic
1026C2×C42C2412yes—
1027C2×C42C2411yescharacteristic
1028C2×C42C2412yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2412yes—
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2412yes—
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2412yes—
1041C2×C42C2414yes—
1042C2×C42C2412yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2414yes—
1047C2×C42C2414yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2414yes—
1057C2×C42C2414yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061#95C2412yes—
1062#95C2412yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2411yescharacteristic
1070#95C2411yescharacteristic
1071#95C2411yescharacteristic
1072#95C2414yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149C24C2512yes—
1150C24C2512yes—
1151#41—432no—
1152C2×Q8—24no—
1153C2×Q8—22no—
1154C2×Q8—22no—
1155C2×Q8—22no—
1156C2×Q8—22no—
1157C2×Q8—22no—
1158C2×Q8—24no—
1159C2×Q8—24no—
1160C2×Q8—24no—
1161C2×Q8—24no—
1162C2×Q8—24no—
1163C2×Q8—24no—
1164C2×Q8—22no—
1165C2×Q8—22no—
1166C2×Q8—24no—
1167C2×Q8—41no—
1168C2×Q8—41no—
1169C2×Q8—42no—
1170C2×Q8—42no—
1171C2×Q8—42no—
1172C2×Q8—42no—
1173C2×D4—28no—
1174C2×D4—28no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—44no—
1180C2×D4C2×#4114yes—
1181C2×D4C2×#4114yes—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—28no—
1185C22×C4—28no—
1186C22×C4—28no—
1187C22×C4—24no—
1188C22×C4—28no—
1189C22×C4—24no—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—28no—
1194C22×C4—42no—
1195C22×C4—42no—
1196C22×C4—42no—
1197C22×C4—44no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—44no—
1203C22×C4—44no—
1204C22×C4—44no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—44no—
1210C22×C4C2×#4118yes—
1211C22×C4C2×#4118yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C22×C4C2511yescharacteristic
1215C22×C4C2512yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2511yescharacteristic
1218C22×C4C2512yes—
1219C22×C4C2514yes—
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2514yes—
1223C22×C4C2514yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2512yes—
1226C22×C4C2514yes—
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C22×C4C2512yes—
1237C22×C4C2511yescharacteristic
1238C22×C4C2511yescharacteristic
1239C22×C4C2511yescharacteristic
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C4⋊C4—28no—
1246C4⋊C4—24no—
1247C4⋊C4—22no—
1248C4⋊C4—28no—
1249C4⋊C4—28no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—28no—
1253C4⋊C4—28no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—22no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—28no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—24no—
1269C4⋊C4—28no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—28no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—22no—
1277C4⋊C4—24no—
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—24no—
1281C4⋊C4—22no—
1282C4⋊C4—24no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—42no—
1299C4⋊C4—41no—
1300C4⋊C4—42no—
1301C4⋊C4—41no—
1302C4⋊C4—44no—
1303C4⋊C4—41no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—41no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4C2×#4114yes—
1320C4⋊C4C2×#4114yes—
1321C4⋊C42−1+414yes—
1322C22⋊C4—28no—
1323C22⋊C4—28no—
1324C22⋊C4—24no—
1325C22⋊C4—24no—
1326C22⋊C4—28no—
1327C22⋊C4—28no—
1328C22⋊C4—28no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—24no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—28no—
1336C22⋊C4—24no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—44no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—44no—
1345C22⋊C4—42no—
1346C22⋊C4—44no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—44no—
1351C22⋊C4—42no—
1352C22⋊C4C2×#4118yes—
1353C22⋊C4C2×#4118yes—
1354C42—28no—
1355C42—24no—
1356C42—28no—
1357C42—24no—
1358C42—24no—
1359C42—28no—
1360C42—24no—
1361C42—22no—
1362C42—22no—
1363C42—24no—
1364C42—22no—
1365C42—22no—
1366C42—22no—
1367C42—24no—
1368C42—22no—
1369C42—22no—
1370C42—28no—
1371C42—24no—
1372C42—24no—
1373C42—22no—
1374C42—24no—
1375C42—22no—
1376C42—22no—
1377C42—22no—
1378C42—22no—
1379C42—42no—
1380C42—44no—
1381C42—42no—
1382C42—42no—
1383C42—42no—
1384C42—44no—
1385C42—41no—
1386C42—41no—
1387C42—41no—
1388C42—42no—
1389C42—42no—
1390C42—42no—
1391C42—44no—
1392C42—42no—
1393C42—44no—
1394C42—41no—
1395C42—41no—
1396C42—44no—
1397C42—42no—
1398C42C2×#4114yes—
1399C42C2×#4114yes—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23C22×#4114yes—
1413C23C22×#4114yes—
1414C23C2611yescharacteristic
1415Q8—44no—
1416Q8—44no—
1417Q8—44no—
1418Q8—48no—
1419Q8—48no—
1420Q8—84no—
1421Q8—84no—
1422D4—28no—
1423D4—28no—
1424D4—416no—
1425C2×C4—22no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—216no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—24no—
1445C2×C4—24no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—24no—
1457C2×C4—24no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—24no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—24no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—24no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—24no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—48no—
1513C2×C4—48no—
1514C2×C4—416no—
1515C2×C4—48no—
1516C2×C4—88no—
1517C2×C4—88no—
1518C2×C4—88no—
1519C2×C4—84no—
1520C2×C4—84no—
1521C2×C4C22×#4112yes—
1522C2×C4C22×#4114yes—
1523C2×C4C22×#4114yes—
1524C2×C4C22×#4112yes—
1525C2×C4C22×#4112yes—
1526C2×C4C22×#4112yes—
1527C2×C4C22×#4112yes—
1528C2×C4C22×#4112yes—
1529C2×C4C2×2−1+414yes—
1530C2×C4C2×2−1+412yes—
1531C2×C4#58512yes—
1532C2×C4#58512yes—
1533C2×C4#58512yes—
1534C22—24no—
1535C22—24no—
1536C22—24no—
1537C22—24no—
1538C22—24no—
1539C22—24no—
1540C22—42no—
1541C22—42no—
1542C22—42no—
1543C22—42no—
1544C22—42no—
1545C22—42no—
1546C22—42no—
1547C22—42no—
1548C22C23×#4111yescharacteristic
1549C22C23×#4111yescharacteristic
1550C22C22×2−1+411yescharacteristic
1551C22C2×#58511yescharacteristic
1552C22C2×#58511yescharacteristic
1553C22C2×#58511yescharacteristic
1554C222−1+611yescharacteristic
1555C4—22no—
1556C4—22no—
1557C4—22no—
1558C4—24no—
1559C4—22no—
1560C4—24no—
1561C4—24no—
1562C4—42no—
1563C4—42no—
1564C4—44no—
1565C4—42no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—42no—
1570C4—41no—
1571C4—42no—
1572C4—44no—
1573C4—44no—
1574C4—42no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—42no—
1579C4—42no—
1580C4—42no—
1581C4—41no—
1582C4—41no—
1583C4—44no—
1584C4—42no—
1585C4—42no—
1586C4#347514yes—
1587C4#350714yes—
1588C2—44no—
1589C2—44no—
1590C2C2×#347511yescharacteristic
1591C2C2×#350711yescharacteristic
1592C2#6278111yescharacteristic
1593C2#6293611yescharacteristic
1594C2#6299511yescharacteristic
1595C2#6300111yescharacteristic
1596C2#6302311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#547C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59869C2semidirect
2. #59868C2semidirect
3. #59574C2semidirect
4. #59567C2semidirect
5. #59506C2semidirect
6. #59450C2semidirect
7. #59436C2semidirect
8. #59344C2semidirect
9. #45150C2semidirect
10. #45119C2semidirect
11. #43635C2semidirect
12. #43521C2semidirect
13. #40348C2semidirect
14. #39819C2semidirect
15. #39536C2semidirect
16. #39490C2semidirect
17. #39008C2semidirect
19. #36608C2semidirect
20. #36556C2semidirect
21. #36476C2semidirect
23. #36313C2semidirect
24. #36307C2semidirect
25. #36250C2semidirect
26. #36177C2semidirect
27. #35846C2semidirect
28. #35789C2semidirect
29. #34913C2semidirect
30. #34893C2semidirect
31. #34322C2semidirect
33. #34252C2semidirect
34. C4×#554C2semidirect
35. C4×#556C2semidirect

Maximal subgroups

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

subgroupindex
#598692
#598682
#595742
#595672
#595062
#594502
#594362
#593442
#451502
#451192
#436352
#435212
#403482
#398192
#395362
#394902
#390082
#389552
#366082
#365562
#364762
#364062
#363132
#363072
#362502
#361772
#358462
#357892
#349132
#348932
#343222
#343082
#342522
C4×#5542
C4×#5562