Finite Group Databasebeta

← #7689409

Subgroups — #7689409

Order 512.

4761 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59875C211yesmaximal, characteristic, complemented
2#59855C212yesmaximal, complemented
3#59564C212yesmaximal, complemented
4#59432C212yesmaximal, complemented
5#59335C214yesmaximal, complemented
6#59280C212yesmaximal, complemented
7#59257C211yesmaximal, characteristic, complemented
8#59235C211yesmaximal, characteristic, complemented
9#45130C212yesmaximal, complemented
10#45129C212yesmaximal, complemented
11#43628C214yesmaximal, complemented
12#43523C214yesmaximal, complemented
13#39537C212yesmaximal, complemented
14#39498C211yesmaximal, characteristic, complemented
15#39000C212yesmaximal, complemented
16#38908C211yesmaximal, characteristic, complemented
17#38753C214yesmaximal, complemented
18#37985C212yesmaximal, complemented
19#36477C211yesmaximal, characteristic, complemented
20#36450C211yesmaximal, characteristic, complemented
21#36404C211yesmaximal, characteristic, complemented
22#36314C211yesmaximal, characteristic, complemented
23#36307C212yesmaximal, complemented
24#36252C212yesmaximal, complemented
25#36209C211yesmaximal, characteristic, complemented
26#36178C212yesmaximal, complemented
27#36011C212yesmaximal, complemented
28#35803C212yesmaximal, complemented
29#34913C212yesmaximal, complemented
30#34724C211yesmaximal, characteristic, complemented
31#34308C211yesmaximal, characteristic, complemented
32#34252C212yesmaximal, complemented
33#34242C211yesmaximal, characteristic, complemented
34C4×#555C211yesmaximal, characteristic, complemented
35#34127C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#529C2211yescharacteristic
39C2×#520C2212yes—
40C2×C4×#41C2211yescharacteristic
41#2864C2212yes—
42#2863C2212yes—
43#2859C2211yescharacteristic
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2855C2212yes—
47#2855C2212yes—
48#2853C2214yes—
49#2810C2214yes—
50#2807C2214yes—
51#2800C2214yes—
52#2797C2214yes—
53#2788C2214yes—
54#2783C2214yes—
55#2781C2214yes—
56#2778C2214yes—
57#2776C2214yes—
58#2771C2214yes—
59#2764C2214yes—
60#2758C2214yes—
61#2750C2214yes—
62#2749C2214yes—
63#2749C2214yes—
64#2744C2214yes—
65#2744C2214yes—
66#2743C2214yes—
67#2740C2214yes—
68#2695C2214yes—
69#2693C2214yes—
70#2649C2214yes—
71#2635C2214yes—
72#2628C2212yes—
73#2625C2212yes—
74#2612C2214yes—
75#2609C2214yes—
76#2608C2214yes—
77#2596C2214yes—
78#2595C2214yes—
79#2594C2214yes—
80#2591C2214yes—
81#2590C2214yes—
82#2587C2214yes—
83#2584C2212yes—
84#2580C2212yes—
85#2578C2214yes—
86#2577C2214yes—
87#2577C2214yes—
88#2576C2214yes—
89#2576C2214yes—
90#2575C2214yes—
91#2573C2214yes—
92#2573C2214yes—
93#2571C2211yescharacteristic
94#2570C2212yes—
95#2568C2211yescharacteristic
96#2568C2212yes—
97#2568C2212yes—
98#2568C2211yescharacteristic
99#2566C2212yes—
100#2562C2212yes—
101#2552C2211yescharacteristic
102#2538C2211yescharacteristic
103#2538C2211yescharacteristic
104#2536C2212yes—
105#2535C2212yes—
106#2533C2214yes—
107#2533C2214yes—
108#2533C2214yes—
109#2530C2214yes—
110#2529C2214yes—
111#2528C2214yes—
112#2528C2214yes—
113#2527C2214yes—
114#2526C2214yes—
115#2525C2214yes—
116#2525C2214yes—
117#2524C2214yes—
118#2518C2214yes—
119#2517C2214yes—
120#2514C2212yes—
121#2514C2212yes—
122#2514C2212yes—
123#2514C2214yes—
124#2514C2212yes—
125#2514C2212yes—
126#2511C2212yes—
127#2510C2214yes—
128#2510C2214yes—
129#2510C2214yes—
130#2509C2212yes—
131#2509C2212yes—
132#2508C2212yes—
133#2508C2214yes—
134#2508C2212yes—
135#2508C2212yes—
136#2505C2214yes—
137#2503C2212yes—
138#2499C2212yes—
139#2499C2212yes—
140#2497C2212yes—
141#2497C2212yes—
142#2495C2212yes—
143#2495C2212yes—
144#2495C2212yes—
145#2495C2212yes—
146#2495C2212yes—
147#2494C2212yes—
148#2493C2214yes—
149#2489C2212yes—
150#2489C2212yes—
151#2489C2212yes—
152#2489C2212yes—
153#2485C2212yes—
154#2485C2212yes—
155#2484C2214yes—
156#2478C2212yes—
157#2474C2214yes—
158#2474C2214yes—
159#2471C2214yes—
160#2470C2214yes—
161#2470C2212yes—
162#2466C2212yes—
163#2459C2214yes—
164#2459C2214yes—
165#2457C2214yes—
166#2455C2212yes—
167#2454C2212yes—
168#2453C2211yescharacteristic
169#2447C2211yescharacteristic
170#2442C2212yes—
171#2442C2212yes—
172#2441C2211yescharacteristic
173#2441C2212yes—
174#2432C2211yescharacteristic
175#2429C2212yes—
176#2429C2211yescharacteristic
177#2427C2212yes—
178#2422C2211yescharacteristic
179#2421C2212yes—
180#2420C2212yes—
181#2420C2212yes—
182#2420C2212yes—
183#2417C2212yes—
184#2417C2212yes—
185#2417C2212yes—
186#2415C2212yes—
187#2415C2212yes—
188#2415C2211yescharacteristic
189#2407C2212yes—
190#2407C2212yes—
191#2407C2211yescharacteristic
192#2407C2212yes—
193#2401C2214yes—
194#2395C2214yes—
195#2395C2212yes—
196#2392C2212yes—
197#2373C2214yes—
198#2372C2212yes—
199#2372C2212yes—
200#2370C2212yes—
201#2369C2211yescharacteristic
202#2365C2211yescharacteristic
203#2363C2211yescharacteristic
204#2363C2212yes—
205#2363C2212yes—
206#2363C2211yescharacteristic
207#2362C2212yes—
208#2362C2212yes—
209#2362C2212yes—
210#2361C2212yes—
211#2360C2212yes—
212#2360C2212yes—
213#2359C2214yes—
214#2357C2212yes—
215#2357C2212yes—
216#2356C2212yes—
217#2356C2212yes—
218#2355C2212yes—
219#2355C2212yes—
220#2355C2211yescharacteristic
221#2355C2211yescharacteristic
222#2355C2212yes—
223#2355C2211yescharacteristic
224#2354C2211yescharacteristic
225#2354C2211yescharacteristic
226#2354C2212yes—
227#2354C2212yes—
228#2354C2211yescharacteristic
229#2352C2212yes—
230#2352C2212yes—
231#2352C2212yes—
232#2352C2212yes—
233#2352C2212yes—
234Q8×C4⋊C4C2211yescharacteristic
235D4×C4⋊C4C2211yescharacteristic
236D4×C4⋊C4C2211yescharacteristic
237D4×C4⋊C4C2211yescharacteristic
238#2347C2212yes—
239#2347C2214yes—
240#2346C2212yes—
241#2346C2211yescharacteristic
242#2346C2212yes—
243#2346C2212yes—
244#2346C2211yescharacteristic
245#2346C2214yes—
246#2345C2214yes—
247#2344C2212yes—
248#2344C2214yes—
249#2344C2212yes—
250#2343C2214yes—
251#2343C2214yes—
252#2339C2212yes—
253#2339C2212yes—
254#2335C2214yes—
255#2323C2212yes—
256#2322C2214yes—
257#2318C2214yes—
258#2318C2214yes—
259#2317C2212yes—
260#2314C2212yes—
261#2311C2212yes—
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2211yescharacteristic
265C4×#125C2212yes—
266C4×#125C2212yes—
267C4×#124C2212yes—
268C4×#124C2212yes—
269C4×#124C2212yes—
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2211yescharacteristic
272C4×C22⋊Q8C2211yescharacteristic
273C4×#123C2212yes—
274C4×#121C2212yes—
275C4×#121C2211yescharacteristic
276C4×#121C2212yes—
277C4×#121C2211yescharacteristic
278#2297C2212yes—
279#2296C2212yes—
280#2295C2212yes—
281#2295C2212yes—
282#2293C2211yescharacteristic
283C2×#389C2212yes—
284#2290C2214yes—
285#2290C2214yes—
286#2290C2214yes—
287#2285C2211yescharacteristic
288#2285C2211yescharacteristic
289#2283C2212yes—
290#2283C2214yes—
291#2274C2212yes—
292C42×D4C2211yescharacteristic
293C42×D4C2212yes—
294C42×D4C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301#555—28no—
302#547—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306#529—28no—
307C2×#126C2312yes—
308C2×#125C2311yescharacteristic
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#124C2312yes—
312C2×#124C2312yes—
313C2×#124C2311yescharacteristic
314C2×#123C2314yes—
315C2×#123C2312yes—
316C2×#123C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2311yescharacteristic
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2312yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2311yescharacteristic
328C2×#121C2311yescharacteristic
329C2×#121C2311yescharacteristic
330#520—216no—
331C4×#41—28no—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×D4C2314yes—
340C2×C4×D4C2314yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2312yes—
360C2×#117C2314yes—
361C2×#117C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C2×#117C2312yes—
364C2×#117C2311yescharacteristic
365C2×#117C2312yes—
366C2×#117C2314yes—
367C2×#117C2312yes—
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C22×C4⋊C4C2314yes—
373C22×C4⋊C4C2312yes—
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2312yes—
377C22×C42C2312yes—
378C22×C42C2311yescharacteristic
379C22×C42C2311yescharacteristic
380C22×C42C2314yes—
381C22×C42C2312yes—
382#401C2314yes—
383#401C2314yes—
384#401C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2312yes—
405#400C2314yes—
406#400C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2312yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2312yes—
415#398C2314yes—
416#398C2314yes—
417#398C2312yes—
418#398C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2312yes—
422#397C2312yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2312yes—
427#397C2314yes—
428#397C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2312yes—
442#396C2312yes—
443#396C2314yes—
444#395C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2312yes—
449#394C2314yes—
450#394C2312yes—
451#394C2314yes—
452#394C2312yes—
453#394C2312yes—
454#394C2314yes—
455#394C2312yes—
456#393C2314yes—
457#392C2312yes—
458#392C2314yes—
459#392C2314yes—
460#391C2312yes—
461#391C2311yescharacteristic
462#391C2312yes—
463#391C2311yescharacteristic
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2314yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2314yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2311yescharacteristic
479#391C2312yes—
480#391C2312yes—
481#391C2311yescharacteristic
482#390C2312yes—
483#390C2312yes—
484#390C2311yescharacteristic
485#390C2311yescharacteristic
486#390C2312yes—
487#390C2314yes—
488#390C2311yescharacteristic
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2311yescharacteristic
493#389C2311yescharacteristic
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2311yescharacteristic
500#389C2311yescharacteristic
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2314yes—
509#389C2314yes—
510#389C2314yes—
511#389C2314yes—
512#389C2314yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2311yescharacteristic
517#389C2312yes—
518#389C2312yes—
519#389C2314yes—
520#389C2314yes—
521#389C2314yes—
522#389C2311yescharacteristic
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2311yescharacteristic
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2312yes—
538#389C2311yescharacteristic
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2312yes—
544#388C2312yes—
545#388C2314yes—
546#388C2312yes—
547#388C2314yes—
548#388C2314yes—
549#388C2312yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2312yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2312yes—
564#388C2314yes—
565#388C2314yes—
566#388C2312yes—
567#388C2314yes—
568#388C2314yes—
569#388C2312yes—
570#388C2314yes—
571#388C2312yes—
572#388C2314yes—
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2312yes—
590#387C2312yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
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#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2312yes—
641#386C2312yes—
642#386C2312yes—
643#386C2312yes—
644#386C2312yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2312yes—
652#385C2312yes—
653#385C2312yes—
654#385C2314yes—
655#385C2312yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2312yes—
661#385C2314yes—
662#385C2312yes—
663#385C2312yes—
664#384C2311yescharacteristic
665#384C2311yescharacteristic
666#384C2311yescharacteristic
667#384C2312yes—
668#384C2311yescharacteristic
669#384C2312yes—
670#384C2311yescharacteristic
671#383C2314yes—
672#383C2314yes—
673#383C2314yes—
674#383C2314yes—
675#383C2314yes—
676#383C2314yes—
677#383C2314yes—
678#382C2312yes—
679#382C2312yes—
680#382C2312yes—
681#382C2312yes—
682#382C2314yes—
683#382C2312yes—
684#382C2312yes—
685#382C2312yes—
686#382C2312yes—
687#382C2312yes—
688#382C2314yes—
689#382C2314yes—
690#382C2314yes—
691#382C2314yes—
692#382C2312yes—
693#382C2312yes—
694#382C2312yes—
695#381C2314yes—
696#381C2314yes—
697#381C2314yes—
698#381C2314yes—
699#381C2314yes—
700#381C2312yes—
701#381C2314yes—
702#381C2314yes—
703#380C2311yescharacteristic
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2314yes—
708#380C2314yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2314yes—
713#380C2312yes—
714#380C2314yes—
715#380C2314yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2311yescharacteristic
721#380C2311yescharacteristic
722#380C2312yes—
723#380C2311yescharacteristic
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803#376C2312yes—
804#376C2314yes—
805#376C2314yes—
806#376C2314yes—
807#376C2312yes—
808#376C2312yes—
809#376C2312yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2312yes—
815C2×#41—24no—
816C2×#41—28no—
817C2×#41—28no—
818C2×#41—44no—
819C2×#41—42no—
820C2×#41—42no—
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×D4C2414yes—
826C22×D4C2411yescharacteristic
827C22×D4C2411yescharacteristic
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2414yes—
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2414yes—
843C23×C4C2414yes—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2414yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C4⋊Q8—24no—
850C4⋊Q8—24no—
851C4⋊Q8—42no—
852#126—28no—
853#125—24no—
854#125—44no—
855#125—44no—
856#124—24no—
857#124—28no—
858#124—28no—
859#123—28no—
860#123—216no—
861#123—44no—
862C22⋊Q8—28no—
863C22⋊Q8—24no—
864C22⋊Q8—42no—
865C22⋊Q8—44no—
866C22⋊Q8—44no—
867C22⋊Q8—44no—
868C22⋊Q8—44no—
869C22⋊Q8—42no—
870#121—24no—
871#121—28no—
872#121—24no—
873#121—24no—
874#121—28no—
875C4×Q8—24no—
876C4×Q8—28no—
877C4×Q8—24no—
878C4×Q8—28no—
879C4×Q8—24no—
880C4×Q8—44no—
881C4×Q8—44no—
882C4×D4—24no—
883C4×D4—28no—
884C4×D4—28no—
885C4×D4—216no—
886C4×D4—28no—
887C4×D4—28no—
888C4×D4—216no—
889C4×D4—24no—
890C4×D4—24no—
891C4×D4—44no—
892C4×D4—44no—
893C4×D4—42no—
894C4×D4—42no—
895C4×D4—44no—
896C4×D4—44no—
897C4×D4—42no—
898C4×D4#4118yes—
899C4×D4#4118yescomplemented
900#117—28no—
901#117—28no—
902#117—24no—
903#117—24no—
904#117—24no—
905#117—28no—
906#117—216no—
907#117—28no—
908#117—44no—
909#117—44no—
910#117—48no—
911#117—42no—
912#117—44no—
913#117—42no—
914#117—44no—
915C2×C4⋊C4—216no—
916C2×C4⋊C4—28no—
917C2×C4⋊C4—28no—
918C2×C4⋊C4—44no—
919C2×C4⋊C4—44no—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C42—28no—
1038C2×C42—24no—
1039C2×C42—24no—
1040C2×C42—48no—
1041C2×C42—44no—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2414yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2414yes—
1049C2×C42C2414yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2414yes—
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082#95C2412yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2411yescharacteristic
1091#95C2411yescharacteristic
1092#95C2412yes—
1093#95C2411yescharacteristic
1094#95C2414yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2411yescharacteristic
1117#95C2412yes—
1118#95C2411yescharacteristic
1119#95C2414yes—
1120#95C2414yes—
1121#95C2411yescharacteristic
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160C24C2511yescharacteristic
1161C24C2511yescharacteristic
1162C24C2512yes—
1163C24C2512yes—
1164#41—432no—
1165#41—416no—
1166C2×Q8—24no—
1167C2×Q8—22no—
1168C2×Q8—22no—
1169C2×Q8—24no—
1170C2×Q8—24no—
1171C2×Q8—22no—
1172C2×Q8—22no—
1173C2×Q8—24no—
1174C2×Q8—22no—
1175C2×Q8—22no—
1176C2×Q8—42no—
1177C2×Q8—42no—
1178C2×D4—28no—
1179C2×D4—24no—
1180C2×D4—28no—
1181C2×D4—24no—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—44no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4C2×#4114yes—
1201C2×D4C2×#4114yes—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—28no—
1207C22×C4—28no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—24no—
1214C22×C4—28no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—28no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—41no—
1232C22×C4—42no—
1233C22×C4—44no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—44no—
1237C22×C4—42no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—41no—
1244C22×C4—44no—
1245C22×C4—42no—
1246C22×C4—41no—
1247C22×C4—42no—
1248C22×C4C2×#4118yes—
1249C22×C4C2×#4118yes—
1250C22×C4C2511yescharacteristic
1251C22×C4C2511yescharacteristic
1252C22×C4C2512yes—
1253C22×C4C2512yes—
1254C22×C4C2514yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2511yescharacteristic
1258C22×C4C2512yes—
1259C22×C4C2514yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2512yes—
1267C22×C4C2514yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2514yes—
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C4⋊C4—28no—
1282C4⋊C4—24no—
1283C4⋊C4—28no—
1284C4⋊C4—28no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—28no—
1288C4⋊C4—24no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—24no—
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—41no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4C2×#4114yes—
1347C4⋊C4C2×#4114yes—
1348C22⋊C4—28no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—28no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—24no—
1366C22⋊C4—22no—
1367C22⋊C4—42no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—42no—
1371C22⋊C4—44no—
1372C22⋊C4—42no—
1373C22⋊C4—44no—
1374C22⋊C4—42no—
1375C22⋊C4—44no—
1376C22⋊C4—42no—
1377C22⋊C4—44no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—44no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—44no—
1387C22⋊C4—41no—
1388C22⋊C4—44no—
1389C22⋊C4—42no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4C2×#4118yes—
1397C22⋊C4C2×#4118yes—
1398C42—22no—
1399C42—22no—
1400C42—24no—
1401C42—22no—
1402C42—22no—
1403C42—24no—
1404C42—24no—
1405C42—22no—
1406C42—22no—
1407C42—24no—
1408C42—24no—
1409C42—28no—
1410C42—24no—
1411C42—28no—
1412C42—24no—
1413C42—24no—
1414C42—22no—
1415C42—28no—
1416C42—24no—
1417C42—24no—
1418C42—24no—
1419C42—22no—
1420C42—22no—
1421C42—42no—
1422C42—44no—
1423C42—42no—
1424C42—44no—
1425C42—42no—
1426C42—41no—
1427C42—42no—
1428C42—42no—
1429C42—44no—
1430C42—44no—
1431C42—44no—
1432C42—42no—
1433C42—42no—
1434C42—41no—
1435C42—44no—
1436C42C2×#4114yes—
1437C42C2×#4114yes—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23C22×#4114yes—
1465C23C22×#4114yes—
1466C23C2611yescharacteristic
1467Q8—48no—
1468Q8—44no—
1469Q8—44no—
1470Q8—84no—
1471D4—28no—
1472D4—28no—
1473D4—44no—
1474D4—416no—
1475D4—48no—
1476D4—84no—
1477D4—84no—
1478D4—84no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—216no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—24no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—24no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—24no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—48no—
1562C2×C4—44no—
1563C2×C4—48no—
1564C2×C4—416no—
1565C2×C4—48no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—48no—
1569C2×C4—44no—
1570C2×C4—44no—
1571C2×C4—82no—
1572C2×C4—88no—
1573C2×C4—88no—
1574C2×C4—88no—
1575C2×C4—84no—
1576C2×C4C22×#4112yes—
1577C2×C4C22×#4114yes—
1578C2×C4C22×#4112yes—
1579C2×C4C22×#4114yes—
1580C2×C4C22×#4112yes—
1581C2×C4C22×#4112yes—
1582C2×C4C22×#4112yes—
1583C2×C4C22×#4112yes—
1584C2×C4#58512yes—
1585C2×C4#58512yes—
1586C2×C4#58512yes—
1587C2×C4#58512yes—
1588C22—24no—
1589C22—24no—
1590C22—24no—
1591C22—24no—
1592C22—24no—
1593C22—24no—
1594C22—42no—
1595C22—42no—
1596C22—42no—
1597C22—42no—
1598C22—42no—
1599C22—42no—
1600C22—42no—
1601C22—42no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22C23×#4111yescharacteristic
1617C22C23×#4111yescharacteristic
1618C22C2×#58511yescharacteristic
1619C22C2×#58511yescharacteristic
1620C22C2×#58511yescharacteristic
1621C22C2×#58511yescharacteristic
1622C222−1+611yescharacteristic
1623C4—22no—
1624C4—22no—
1625C4—22no—
1626C4—22no—
1627C4—24no—
1628C4—24no—
1629C4—42no—
1630C4—41no—
1631C4—42no—
1632C4—42no—
1633C4—42no—
1634C4—42no—
1635C4—41no—
1636C4—42no—
1637C4—44no—
1638C4—42no—
1639C4—41no—
1640C4—42no—
1641C4—41no—
1642C4—42no—
1643C4—42no—
1644C4—44no—
1645C4—42no—
1646C4—41no—
1647C4—41no—
1648C4—44no—
1649C4—44no—
1650C4—42no—
1651C4—41no—
1652C4#347514yes—
1653C4#349314yes—
1654C2—44no—
1655C2—44no—
1656C2—81no—
1657C2—81no—
1658C2C2×#347511yescharacteristic
1659C2C2×#349311yescharacteristic
1660C2#6278111yescharacteristic
1661C2#6296711yescharacteristic
1662C2#6299311yescharacteristic
1663C2#6299511yescharacteristic
1664C2#6303111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59875C2semidirect
2. #59855C2semidirect
3. #59564C2semidirect
4. #59432C2semidirect
5. #59335C2semidirect
6. #59280C2semidirect
7. #59257C2semidirect
8. #59235C2semidirect
9. #45130C2semidirect
10. #45129C2semidirect
11. #43628C2semidirect
12. #43523C2semidirect
13. #39537C2semidirect
14. #39498C2semidirect
15. #39000C2semidirect
16. #38908C2semidirect
17. #38753C2semidirect
18. #37985C2semidirect
19. #36477C2semidirect
20. #36450C2semidirect
21. #36404C2semidirect
22. #36314C2semidirect
23. #36307C2semidirect
24. #36252C2semidirect
25. #36209C2semidirect
26. #36178C2semidirect
27. #36011C2semidirect
28. #35803C2semidirect
29. #34913C2semidirect
30. #34724C2semidirect
31. #34308C2semidirect
32. #34252C2semidirect
33. #34242C2semidirect
34. C4×#555C2semidirect
35. #34127C2semidirect
899. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#598752
#598552
#595642
#594322
#593352
#592802
#592572
#592352
#451302
#451292
#436282
#435232
#395372
#394982
#390002
#389082
#387532
#379852
#364772
#364502
#364042
#363142
#363072
#362522
#362092
#361782
#360112
#358032
#349132
#347242
#343082
#342522
#342422
C4×#5552
#341272