Finite Group Databasebeta

← #7986030

Subgroups — #7986030

Order 512.

4717 conjugacy classes of subgroups.

The subgroup lattice has 1671 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59710C212yesmaximal, complemented
2#59566C212yesmaximal, complemented
3#59451C211yesmaximal, characteristic, complemented
4#59259C211yesmaximal, characteristic, complemented
5#59244C211yesmaximal, characteristic, complemented
6#49520C214yesmaximal, complemented
7#48316C214yesmaximal, complemented
8#45926C214yesmaximal, complemented
9#45325C212yesmaximal, complemented
10#45281C212yesmaximal, complemented
11#45117C212yesmaximal, complemented
12#45076C212yesmaximal, complemented
13#42655C212yesmaximal, complemented
14#42653C212yesmaximal, complemented
15#42630C212yesmaximal, complemented
16#42567C212yesmaximal, complemented
17#40204C214yesmaximal, complemented
18#39606C211yesmaximal, characteristic, complemented
19#39563C212yesmaximal, complemented
20#39343C211yesmaximal, characteristic, complemented
21#39294C212yesmaximal, complemented
22#39159C211yesmaximal, characteristic, complemented
23#38911C211yesmaximal, characteristic, complemented
24#36579C212yesmaximal, complemented
25#36507C212yesmaximal, complemented
26#36407C211yesmaximal, characteristic, complemented
27#36299C211yesmaximal, characteristic, complemented
28#36210C211yesmaximal, characteristic, complemented
29#35193C212yesmaximal, complemented
30#35182C212yesmaximal, complemented
31#34898C211yesmaximal, characteristic, complemented
32#34889C211yesmaximal, characteristic
33#34383C211yesmaximal, characteristic, complemented
34#34367C211yesmaximal, characteristic, complemented
35C4×D4×Q8C211yesmaximal, characteristic, complemented
36C2×#556C2212yes—
37C2×D4×Q8C2211yescharacteristic
38C2×#536C2212yes—
39C2×#532C2211yescharacteristic
40C2×#529C2211yescharacteristic
41C22×C4×Q8C2212yes—
42#2863C2212yes—
43#2859C2211yescharacteristic
44#2857C2212yes—
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2853C2214yes—
48#2853C2214yes—
49#2850C2214yes—
50#2827C2214yes—
51#2826C2214yes—
52#2809C2214yes—
53#2805C2214yes—
54#2803C2214yes—
55#2800C2214yes—
56#2799C2214yes—
57#2798C2214yes—
58#2789C2214yes—
59#2786C2214yes—
60#2777C2214yes—
61#2776C2214yes—
62#2775C2214yes—
63#2773C2214yes—
64#2768C2214yes—
65#2768C2214yes—
66#2758C2214yes—
67#2757C2214yes—
68#2755C2214yes—
69#2751C2214yes—
70#2750C2214yes—
71#2748C2214yes—
72#2746C2214yes—
73#2746C2214yes—
74#2745C2214yes—
75#2738C2214yes—
76#2716C2214yes—
77#2715C2214yes—
78#2712C2214yes—
79#2705C2214yes—
80#2695C2214yes—
81#2689C2214yes—
82#2687C2214yes—
83#2674C2214yes—
84#2672C2214yes—
85#2653C2214yes—
86#2652C2214yes—
87#2649C2214yes—
88#2648C2214yes—
89#2645C2212yes—
90#2629C2212yes—
91#2625C2212yes—
92#2623C2214yes—
93#2623C2214yes—
94#2616C2212yes—
95#2601C2214yes—
96#2596C2214yes—
97#2594C2214yes—
98#2592C2214yes—
99#2589C2214yes—
100#2588C2214yes—
101#2585C2214yes—
102#2585C2214yes—
103#2582C2211yescharacteristic
104#2581C2214yes—
105#2577C2214yes—
106#2577C2212yes—
107#2576C2214yes—
108#2575C2212yes—
109#2574C2214yes—
110#2570C2212yes—
111#2570C2211yescharacteristic
112#2568C2211yescharacteristic
113#2568C2212yes—
114#2565C2211yescharacteristic
115#2565C2212yes—
116#2562C2211yescharacteristic
117#2562C2212yes—
118#2560C2214yes—
119#2559C2212yes—
120#2557C2214yes—
121#2557C2212yes—
122#2556C2214yes—
123#2552C2211yescharacteristic
124#2551C2211yescharacteristic
125#2551C2212yes—
126#2550C2212yes—
127#2550C2211yescharacteristic
128#2544C2211yescharacteristic
129#2542C2211yescharacteristic
130#2540C2211yescharacteristic
131#2538C2211yescharacteristic
132#2538C2212yes—
133#2536C2211yescharacteristic
134#2535C2211yescharacteristic
135#2524C2212yes—
136#2523C2214yes—
137#2523C2214yes—
138#2521C2212yes—
139#2521C2214yes—
140#2518C2214yes—
141#2516C2214yes—
142#2515C2214yes—
143#2515C2214yes—
144#2514C2212yes—
145#2514C2212yes—
146#2513C2212yes—
147#2512C2212yes—
148#2509C2212yes—
149#2509C2212yes—
150#2508C2212yes—
151#2507C2212yes—
152#2507C2212yes—
153#2502C2212yes—
154#2499C2212yes—
155#2497C2212yes—
156#2496C2211yescharacteristic
157#2496C2212yes—
158#2495C2212yes—
159#2495C2211yescharacteristic
160#2495C2212yes—
161#2495C2212yes—
162#2494C2212yes—
163#2494C2212yes—
164#2492C2212yes—
165#2492C2212yes—
166#2492C2212yes—
167#2492C2211yescharacteristic
168#2491C2212yes—
169#2491C2212yes—
170#2490C2211yescharacteristic
171#2489C2212yes—
172#2485C2212yes—
173#2485C2212yes—
174#2481C2214yes—
175#2481C2214yes—
176#2477C2214yes—
177#2476C2214yes—
178#2475C2214yes—
179#2469C2214yes—
180#2469C2214yes—
181#2469C2214yes—
182#2468C2212yes—
183#2464C2212yes—
184#2458C2214yes—
185#2454C2212yes—
186#2454C2212yes—
187#2452C2212yes—
188#2451C2214yes—
189#2448C2212yes—
190#2448C2214yes—
191#2448C2214yes—
192#2447C2212yes—
193#2447C2212yes—
194#2446C2214yes—
195#2446C2214yes—
196#2445C2212yes—
197#2441C2212yes—
198#2441C2212yes—
199#2439C2212yes—
200#2439C2212yes—
201#2428C2211yescharacteristic
202#2427C2211yescharacteristic
203#2423C2212yes—
204#2423C2212yes—
205#2423C2211yescharacteristic
206#2423C2212yes—
207#2422C2212yes—
208#2421C2212yes—
209#2421C2211yescharacteristic
210#2421C2212yes—
211#2421C2212yes—
212#2421C2212yes—
213#2420C2212yes—
214#2417C2212yes—
215#2415C2212yes—
216#2415C2212yes—
217#2415C2212yes—
218#2409C2212yes—
219#2409C2212yes—
220#2402C2212yes—
221#2395C2212yes—
222#2395C2212yes—
223#2388C2212yes—
224#2377C2214yes—
225#2376C2214yes—
226#2370C2212yes—
227#2370C2212yes—
228#2370C2212yes—
229#2369C2212yes—
230#2367C2212yes—
231#2365C2212yes—
232#2365C2212yes—
233#2365C2211yescharacteristic
234#2363C2212yes—
235#2363C2212yes—
236#2362C2212yes—
237#2362C2212yes—
238#2362C2212yes—
239#2360C2212yes—
240#2360C2214yes—
241#2360C2212yes—
242#2355C2212yes—
243#2355C2212yes—
244#2355C2211yescharacteristic
245#2354C2212yes—
246#2354C2211yescharacteristic
247#2354C2211yescharacteristic
248#2354C2211yescharacteristic
249#2352C2212yes—
250#2352C2212yes—
251#2352C2212yes—
252Q8×C4⋊C4C2211yescharacteristic
253Q8×C4⋊C4C2211yescharacteristic
254D4×C4⋊C4C2211yescharacteristic
255D4×C4⋊C4C2211yescharacteristic
256D4×C4⋊C4C2212yes—
257#2347C2214yes—
258#2347C2212yes—
259#2344C2212yes—
260Q8×C22⋊C4C2212yes—
261#2337C2214yes—
262#2334C2214yes—
263#2331C2212yes—
264#2331C2212yes—
265#2328C2212yes—
266#2324C2212yes—
267#2324C2212yes—
268#2323C2212yes—
269#2317C2212yes—
270#2314C2212yes—
271#2311C2212yes—
272#2311C2212yes—
273#2310C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2212yes—
276C4×#125C2211yescharacteristic
277C4×#126C2212yes—
278C4×#124C2211yescharacteristic
279C4×C22⋊Q8C2214yes—
280C4×C22⋊Q8C2214yes—
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2212yes—
285C4×#121C2211yescharacteristic
286C4×#121C2212yes—
287#2298C2212yes—
288#2297C2212yes—
289#2296C2212yes—
290#2293C2212yes—
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2283C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2212yes—
299C22×#41C2312yes—
300C23×Q8C2312yes—
301#556—48no—
302D4×Q8—28no—
303#536—48no—
304#532—28no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2314yes—
311C2×#127C2311yescharacteristic
312#529—28no—
313C2×#126C2312yes—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2311yescharacteristic
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#124C2312yes—
322C2×#124C2311yescharacteristic
323C2×#124C2314yes—
324C2×#124C2314yes—
325C2×#124C2311yescharacteristic
326C2×#123C2312yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×#121C2311yescharacteristic
342C2×#121C2311yescharacteristic
343C2×#121C2311yescharacteristic
344C2×#121C2311yescharacteristic
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×C4×Q8—48no—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2314yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2314yes—
358C2×C4×Q8C2314yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2314yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2314yes—
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2314yes—
386C22×C42C2312yes—
387#401C2314yes—
388#401C2314yes—
389#400C2314yes—
390#400C2312yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2312yes—
396#400C2314yes—
397#400C2312yes—
398#400C2312yes—
399#400C2314yes—
400#400C2312yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2312yes—
409#399C2314yes—
410#399C2314yes—
411#399C2312yes—
412#399C2312yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2312yes—
420#398C2312yes—
421#398C2312yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2312yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2312yes—
432#398C2312yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2312yes—
439#397C2314yes—
440#397C2312yes—
441#397C2314yes—
442#397C2312yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2312yes—
450#397C2312yes—
451#397C2312yes—
452#397C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#395C2314yes—
465#395C2312yes—
466#394C2314yes—
467#394C2312yes—
468#394C2314yes—
469#394C2314yes—
470#394C2312yes—
471#394C2314yes—
472#394C2312yes—
473#394C2314yes—
474#394C2314yes—
475#394C2312yes—
476#394C2312yes—
477#394C2312yes—
478#394C2314yes—
479#394C2312yes—
480#393C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2312yes—
485#393C2314yes—
486#392C2312yes—
487#392C2312yes—
488#392C2312yes—
489#391C2314yes—
490#391C2312yes—
491#391C2314yes—
492#391C2311yescharacteristic
493#391C2311yescharacteristic
494#391C2312yes—
495#391C2311yescharacteristic
496#391C2312yes—
497#391C2312yes—
498#391C2314yes—
499#391C2312yes—
500#391C2314yes—
501#391C2314yes—
502#391C2314yes—
503#391C2312yes—
504#391C2314yes—
505#391C2314yes—
506#391C2312yes—
507#391C2312yes—
508#391C2314yes—
509#391C2312yes—
510#391C2314yes—
511#391C2312yes—
512#391C2314yes—
513#391C2312yes—
514#391C2311yescharacteristic
515#391C2314yes—
516#391C2312yes—
517#390C2314yes—
518#390C2314yes—
519#390C2314yes—
520#390C2312yes—
521#390C2314yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2311yescharacteristic
528#390C2312yes—
529#390C2312yes—
530#390C2311yescharacteristic
531#389C2311yescharacteristic
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2312yes—
539#389C2311yescharacteristic
540#389C2311yescharacteristic
541#389C2314yes—
542#389C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2314yes—
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2312yes—
598#388C2314yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2312yes—
613#388C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2314yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2312yes—
631#387C2314yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#386C2312yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2312yes—
671#386C2312yes—
672#386C2312yes—
673#386C2312yes—
674#386C2312yes—
675#386C2312yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2312yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2312yes—
692#384C2312yes—
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#384C2311yescharacteristic
696#384C2312yes—
697#384C2312yes—
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#384C2312yes—
701#383C2312yes—
702#383C2312yes—
703#383C2314yes—
704#383C2314yes—
705#383C2314yes—
706#382C2311yescharacteristic
707#382C2312yes—
708#382C2311yescharacteristic
709#382C2311yescharacteristic
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2311yescharacteristic
714#382C2312yes—
715#382C2312yes—
716#382C2314yes—
717#382C2314yes—
718#381C2314yes—
719#381C2314yes—
720#381C2312yes—
721#381C2314yes—
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2312yes—
725#380C2311yescharacteristic
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2312yes—
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2314yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2314yes—
743#380C2312yes—
744#380C2312yes—
745#380C2314yes—
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813#376C2312yes—
814C43C2312yes—
815C43C2311yescharacteristic
816C2×#41—28no—
817C2×#41—44no—
818C2×#41—44no—
819C22×Q8—28no—
820C22×Q8—28no—
821C22×Q8—44no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2414yes—
825C22×Q8C2411yescharacteristic
826C22×Q8C2414yes—
827C22×Q8C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2414yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2414yes—
848C23×C4C2412yes—
849C23×C4C2414yes—
850C4⋊Q8—24no—
851C4⋊Q8—28no—
852C4⋊Q8—28no—
853C4⋊Q8—24no—
854C4⋊Q8—44no—
855C4⋊Q8—48no—
856#127—24no—
857#126—28no—
858#126—44no—
859#126—48no—
860#126—48no—
861#125—24no—
862#125—44no—
863#125—42no—
864#125—44no—
865#124—24no—
866#124—28no—
867#124—48no—
868#124—42no—
869#124—48no—
870#123—28no—
871#123—48no—
872#123—48no—
873C22⋊Q8—24no—
874C22⋊Q8—28no—
875C22⋊Q8—24no—
876C22⋊Q8—28no—
877C22⋊Q8—24no—
878C22⋊Q8—24no—
879C22⋊Q8—216no—
880C22⋊Q8—48no—
881C22⋊Q8—44no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884C22⋊Q8—44no—
885#121—24no—
886#121—24no—
887#121—24no—
888#121—24no—
889#121—28no—
890#121—44no—
891C4×Q8—24no—
892C4×Q8—28no—
893C4×Q8—24no—
894C4×Q8—24no—
895C4×Q8—48no—
896C4×Q8—44no—
897C4×Q8—48no—
898C4×Q8—44no—
899C4×Q8—48no—
900C4×Q8—44no—
901C4×Q8—42no—
902C4×D4—28no—
903C4×D4—28no—
904C4×D4—28no—
905C4×D4—24no—
906C4×D4—24no—
907C4×D4—42no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—42no—
911C4×D4—42no—
912C4×D4—42no—
913C4×D4—44no—
914C4×D4#4118yes—
915#117—28no—
916#117—44no—
917#117—48no—
918#117—44no—
919#117—44no—
920#117—44no—
921#117—44no—
922#117—44no—
923C2×C4⋊C4—44no—
924C2×C4⋊C4—44no—
925C2×C4⋊C4—48no—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C42—24no—
1049C2×C42—24no—
1050C2×C42—44no—
1051C2×C42—48no—
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2414yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2414yes—
1073C2×C42C2414yes—
1074C2×C42C2414yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2414yes—
1082C2×C42C2412yes—
1083C2×C42C2414yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2411yescharacteristic
1094#95C2412yes—
1095#95C2414yes—
1096#95C2411yescharacteristic
1097#95C2412yes—
1098#95C2414yes—
1099#95C2411yescharacteristic
1100#95C2411yescharacteristic
1101#95C2411yescharacteristic
1102#95C2414yes—
1103#95C2412yes—
1104#95C2411yescharacteristic
1105#95C2412yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165C24C2511yescharacteristic
1166C24C2512yes—
1167C24C2511yescharacteristic
1168C24C2512yes—
1169#41—816no—
1170C2×Q8—22no—
1171C2×Q8—22no—
1172C2×Q8—28no—
1173C2×Q8—24no—
1174C2×Q8—24no—
1175C2×Q8—24no—
1176C2×Q8—28no—
1177C2×Q8—22no—
1178C2×Q8—28no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—24no—
1182C2×Q8—44no—
1183C2×Q8—44no—
1184C2×Q8—44no—
1185C2×Q8—42no—
1186C2×Q8—42no—
1187C2×Q8—432no—
1188C2×Q8H(5,𝔽2)14yes—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—22no—
1194C2×D4—24no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—24no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4C2×#4114yes—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—28no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—28no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—24no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—42no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—42no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—42no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—44no—
1253C22×C4—42no—
1254C22×C4C2×#4118yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2514yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2514yes—
1272C22×C4C2514yes—
1273C22×C4C2512yes—
1274C22×C4C2514yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—22no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—24no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—28no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—22no—
1300C4⋊C4—24no—
1301C4⋊C4—28no—
1302C4⋊C4—22no—
1303C4⋊C4—24no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—28no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—28no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—28no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—44no—
1330C4⋊C4—42no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—41no—
1334C4⋊C4—41no—
1335C4⋊C4—41no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—44no—
1355C4⋊C4C2×#4114yes—
1356C4⋊C42−1+414yes—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—28no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—28no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—44no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—44no—
1382C22⋊C4—42no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—42no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4C2×#4118yes—
1408C42—22no—
1409C42—22no—
1410C42—22no—
1411C42—22no—
1412C42—22no—
1413C42—22no—
1414C42—24no—
1415C42—24no—
1416C42—24no—
1417C42—22no—
1418C42—24no—
1419C42—28no—
1420C42—22no—
1421C42—24no—
1422C42—24no—
1423C42—24no—
1424C42—24no—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—42no—
1429C42—44no—
1430C42—42no—
1431C42—44no—
1432C42—41no—
1433C42—42no—
1434C42—44no—
1435C42—44no—
1436C42—44no—
1437C42—44no—
1438C42—44no—
1439C42—44no—
1440C42—42no—
1441C42—44no—
1442C42C2×#4114yes—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—21no—
1450C23—22no—
1451C23—21no—
1452C23—21no—
1453C23—22no—
1454C23—21no—
1455C23—21no—
1456C23—22no—
1457C23—21no—
1458C23—21no—
1459C23—22no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—22no—
1465C23—22no—
1466C23—21no—
1467C23—21no—
1468C23—22no—
1469C23—21no—
1470C23C22×#4114yes—
1471C23C2611yescharacteristic
1472Q8—28no—
1473Q8—416no—
1474Q8—44no—
1475Q8—48no—
1476Q8—88no—
1477Q8—84no—
1478D4—28no—
1479D4—44no—
1480D4—44no—
1481D4—84no—
1482D4—84no—
1483D4—84no—
1484D4—84no—
1485D4—84no—
1486D4—84no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—216no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—24no—
1509C2×C4—24no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—24no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—24no—
1545C2×C4—24no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—48no—
1571C2×C4—416no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—48no—
1576C2×C4—44no—
1577C2×C4—82no—
1578C2×C4—82no—
1579C2×C4—88no—
1580C2×C4—88no—
1581C2×C4—84no—
1582C2×C4C22×#4112yes—
1583C2×C4C22×#4114yes—
1584C2×C4C22×#4112yes—
1585C2×C4C22×#4112yes—
1586C2×C4C2×H(5,𝔽2)14yes—
1587C2×C4C2×H(5,𝔽2)12yes—
1588C2×C4C2×2−1+414yes—
1589C2×C4C2×2−1+412yes—
1590C2×C4#58512yes—
1591C2×C4#58512yes—
1592C2×C4#58512yes—
1593C22—24no—
1594C22—24no—
1595C22—24no—
1596C22—42no—
1597C22—42no—
1598C22—42no—
1599C22—42no—
1600C22—41no—
1601C22—41no—
1602C22—42no—
1603C22—41no—
1604C22—42no—
1605C22—41no—
1606C22—42no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—42no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—42no—
1615C22—41no—
1616C22—42no—
1617C22—41no—
1618C22—41no—
1619C22—42no—
1620C22—41no—
1621C22C23×#4111yescharacteristic
1622C22C22×H(5,𝔽2)11yescharacteristic
1623C22C22×2−1+411yescharacteristic
1624C22C2×#58511yescharacteristic
1625C22C2×#58511yescharacteristic
1626C22C2×#58511yescharacteristic
1627C222−1+611yescharacteristic
1628C4—22no—
1629C4—22no—
1630C4—24no—
1631C4—24no—
1632C4—24no—
1633C4—42no—
1634C4—41no—
1635C4—41no—
1636C4—42no—
1637C4—44no—
1638C4—42no—
1639C4—42no—
1640C4—44no—
1641C4—42no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—42no—
1646C4—44no—
1647C4—41no—
1648C4—41no—
1649C4—42no—
1650C4—42no—
1651C4—44no—
1652C4—42no—
1653C4—41no—
1654C4—42no—
1655C4—41no—
1656C4—42no—
1657C4#350714yes—
1658C4#351314yes—
1659C2—44no—
1660C2—81no—
1661C2—81no—
1662C2—82no—
1663C2#6276211yescharacteristic
1664C2C2×#351311yescharacteristic
1665C2C2×#350711yescharacteristic
1666C2#6292211yescharacteristic
1667C2#6295311yescharacteristic
1668C2#6300911yescharacteristic
1669C2#6301511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34889C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59710C2semidirect
2. #59566C2semidirect
3. #59451C2semidirect
4. #59259C2semidirect
5. #59244C2semidirect
6. #49520C2semidirect
7. #48316C2semidirect
8. #45926C2semidirect
9. #45325C2semidirect
10. #45281C2semidirect
11. #45117C2semidirect
12. #45076C2semidirect
13. #42655C2semidirect
14. #42653C2semidirect
15. #42630C2semidirect
16. #42567C2semidirect
17. #40204C2semidirect
18. #39606C2semidirect
19. #39563C2semidirect
20. #39343C2semidirect
21. #39294C2semidirect
22. #39159C2semidirect
23. #38911C2semidirect
24. #36579C2semidirect
25. #36507C2semidirect
26. #36407C2semidirect
27. #36299C2semidirect
28. #36210C2semidirect
29. #35193C2semidirect
30. #35182C2semidirect
31. #34898C2semidirect
33. #34383C2semidirect
34. #34367C2semidirect
35. C4×D4×Q8C2semidirect

Maximal subgroups

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

subgroupindex
#597102
#595662
#594512
#592592
#592442
#495202
#483162
#459262
#453252
#452812
#451172
#450762
#426552
#426532
#426302
#425672
#402042
#396062
#395632
#393432
#392942
#391592
#389112
#365792
#365072
#364072
#362992
#362102
#351932
#351822
#348982
#348892
#343832
#343672
C4×D4×Q82