Finite Group Databasebeta

← #7654366

Subgroups — #7654366

Order 512.

5218 conjugacy classes of subgroups.

The subgroup lattice has 1763 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42768C212yesmaximal, complemented
2#42593C212yesmaximal, complemented
3#42143C214yesmaximal, complemented
4#42138C214yesmaximal, complemented
5#40430C214yesmaximal, complemented
6#40221C212yesmaximal, complemented
7#39823C212yesmaximal, complemented
8#39786C212yesmaximal, complemented
9#39747C211yesmaximal, characteristic, complemented
10#39260C212yesmaximal, complemented
11#39183C211yesmaximal, characteristic, complemented
12#39138C211yesmaximal, characteristic, complemented
13#39136C211yesmaximal, characteristic, complemented
14#38314C214yesmaximal, complemented
15#37798C212yesmaximal, complemented
16#37775C212yesmaximal, complemented
17#37627C211yesmaximal, characteristic, complemented
18#37587C212yesmaximal, complemented
19#36596C211yesmaximal, characteristic, complemented
20#36472C212yesmaximal, complemented
21#36468C211yesmaximal, characteristic, complemented
22#36297C212yesmaximal, complemented
23#36116C211yesmaximal, characteristic, complemented
24#36115C211yesmaximal, characteristic, complemented
25#35793C212yesmaximal, complemented
26#35763C212yesmaximal, complemented
27#35288C211yesmaximal, characteristic, complemented
28#35216C212yesmaximal, complemented
29#35171C211yesmaximal, characteristic, complemented
30#35109C212yesmaximal, complemented
31#34970C211yesmaximal, characteristic, complemented
32#34934C212yesmaximal, complemented
33#34313C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35#34153C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#553C2212yes—
38C2×#553C2212yes—
39C2×#550C2211yescharacteristic
40C2×#540C2212yes—
41C2×#529C2211yescharacteristic
42C2×#529C2212yes—
43C2×#529C2212yes—
44C2×#520C2212yes—
45#2866C2214yes—
46#2860C2214yes—
47#2859C2211yescharacteristic
48#2858C2211yescharacteristic
49#2857C2211yescharacteristic
50#2856C2212yes—
51#2856C2212yes—
52#2856C2211yescharacteristic
53#2855C2212yes—
54#2854C2212yes—
55#2854C2212yes—
56#2850C2212yes—
57#2837C2214yes—
58#2829C2214yes—
59#2828C2214yes—
60#2802C2214yes—
61#2800C2214yes—
62#2797C2214yes—
63#2791C2214yes—
64#2786C2214yes—
65#2770C2214yes—
66#2757C2214yes—
67#2750C2214yes—
68#2749C2214yes—
69#2749C2214yes—
70#2727C2214yes—
71#2718C2214yes—
72#2714C2214yes—
73#2714C2214yes—
74#2714C2214yes—
75#2714C2214yes—
76#2708C2214yes—
77#2705C2214yes—
78#2705C2214yes—
79#2701C2214yes—
80#2695C2214yes—
81#2682C2214yes—
82#2673C2214yes—
83#2673C2214yes—
84#2661C2214yes—
85#2661C2214yes—
86#2657C2212yes—
87#2654C2214yes—
88#2651C2214yes—
89#2651C2214yes—
90#2651C2214yes—
91#2648C2214yes—
92#2647C2212yes—
93#2644C2212yes—
94#2635C2214yes—
95#2635C2214yes—
96#2630C2214yes—
97#2629C2212yes—
98#2625C2212yes—
99#2624C2212yes—
100#2624C2212yes—
101#2620C2212yes—
102#2620C2212yes—
103#2619C2212yes—
104#2603C2214yes—
105#2603C2214yes—
106#2602C2214yes—
107#2600C2214yes—
108#2595C2214yes—
109#2587C2214yes—
110#2579C2214yes—
111#2570C2212yes—
112#2565C2212yes—
113#2562C2212yes—
114#2559C2214yes—
115#2554C2214yes—
116#2554C2214yes—
117#2554C2214yes—
118#2552C2212yes—
119#2552C2211yescharacteristic
120#2552C2212yes—
121#2552C2211yescharacteristic
122#2548C2212yes—
123#2547C2211yescharacteristic
124#2544C2212yes—
125#2543C2214yes—
126#2542C2211yescharacteristic
127#2541C2211yescharacteristic
128#2541C2211yescharacteristic
129#2541C2212yes—
130#2541C2212yes—
131#2540C2212yes—
132#2538C2212yes—
133#2538C2212yes—
134#2537C2211yescharacteristic
135#2537C2211yescharacteristic
136#2535C2212yes—
137#2535C2212yes—
138#2531C2212yes—
139#2530C2214yes—
140#2526C2214yes—
141#2526C2212yes—
142#2516C2214yes—
143#2513C2212yes—
144#2513C2211yescharacteristic
145#2512C2212yes—
146#2512C2214yes—
147#2512C2212yes—
148#2509C2212yes—
149#2507C2211yescharacteristic
150#2497C2212yes—
151#2497C2211yescharacteristic
152#2496C2212yes—
153#2496C2212yes—
154#2490C2212yes—
155#2490C2212yes—
156#2490C2212yes—
157#2490C2212yes—
158#2490C2212yes—
159#2490C2211yescharacteristic
160#2486C2212yes—
161#2481C2214yes—
162#2479C2214yes—
163#2478C2214yes—
164#2478C2214yes—
165#2476C2214yes—
166#2476C2212yes—
167#2471C2214yes—
168#2471C2214yes—
169#2471C2214yes—
170#2471C2212yes—
171#2470C2214yes—
172#2467C2214yes—
173#2466C2214yes—
174#2464C2214yes—
175#2464C2214yes—
176#2464C2214yes—
177#2457C2214yes—
178#2456C2214yes—
179#2454C2212yes—
180#2454C2211yescharacteristic
181#2453C2212yes—
182#2453C2212yes—
183#2448C2212yes—
184#2447C2212yes—
185#2447C2212yes—
186#2445C2212yes—
187#2445C2214yes—
188#2445C2211yescharacteristic
189#2445C2212yes—
190#2443C2214yes—
191#2441C2212yes—
192#2431C2212yes—
193#2428C2212yes—
194#2428C2212yes—
195#2428C2212yes—
196#2428C2214yes—
197#2428C2211yescharacteristic
198#2427C2212yes—
199#2427C2212yes—
200#2426C2212yes—
201#2426C2212yes—
202#2426C2212yes—
203#2426C2212yes—
204#2423C2212yes—
205#2422C2212yes—
206#2422C2214yes—
207#2420C2211yescharacteristic
208#2420C2212yes—
209#2419C2214yes—
210#2416C2212yes—
211#2414C2212yes—
212#2414C2212yes—
213#2414C2212yes—
214#2414C2214yes—
215#2413C2214yes—
216#2407C2212yes—
217#2407C2212yes—
218#2407C2212yes—
219#2395C2212yes—
220#2392C2212yes—
221#2392C2214yes—
222#2392C2214yes—
223#2373C2212yes—
224#2373C2212yes—
225#2373C2214yes—
226#2370C2211yescharacteristic
227#2370C2211yescharacteristic
228#2367C2211yescharacteristic
229#2367C2211yescharacteristic
230#2367C2212yes—
231#2366C2211yescharacteristic
232#2366C2212yes—
233#2366C2212yes—
234#2365C2211yescharacteristic
235#2363C2212yes—
236#2362C2212yes—
237#2361C2212yes—
238#2361C2214yes—
239#2361C2211yescharacteristic
240#2361C2211yescharacteristic
241#2360C2211yescharacteristic
242#2360C2211yescharacteristic
243#2359C2212yes—
244#2359C2212yes—
245#2356C2212yes—
246#2355C2211yescharacteristic
247#2354C2212yes—
248#2354C2211yescharacteristic
249#2352C2212yes—
250Q8×C4⋊C4C2211yescharacteristic
251D4×C4⋊C4C2211yescharacteristic
252D4×C4⋊C4C2212yes—
253D4×C4⋊C4C2212yes—
254#2347C2212yes—
255#2344C2212yes—
256#2341C2212yes—
257#2333C2214yes—
258#2333C2214yes—
259#2330C2212yes—
260#2326C2212yes—
261#2324C2212yes—
262#2324C2214yes—
263#2324C2212yes—
264#2324C2212yes—
265#2324C2212yes—
266#2323C2212yes—
267#2319C2212yes—
268C4×C4⋊Q8C2211yescharacteristic
269C4×#127C2211yescharacteristic
270C4×#127C2212yes—
271C4×#127C2211yescharacteristic
272C4×#127C2214yes—
273C4×#125C2211yescharacteristic
274C4×#126C2214yes—
275C4×#124C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×#123C2212yes—
278C4×#121C2211yescharacteristic
279C4×#121C2212yes—
280C4×#121C2212yes—
281C4×#121C2212yes—
282C4×#121C2211yescharacteristic
283#2298C2212yes—
284#2296C2212yes—
285#2295C2211yescharacteristic
286#2293C2212yes—
287#2293C2211yescharacteristic
288#2293C2211yescharacteristic
289#2293C2214yes—
290#2290C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300#556—28no—
301#553—48no—
302#553—48no—
303#550—28no—
304#540—48no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×#127C2311yescharacteristic
307C2×#127C2312yes—
308C2×#127C2311yescharacteristic
309C2×#127C2314yes—
310C2×#127C2312yes—
311C2×#127C2312yes—
312#529—28no—
313#529—48no—
314#529—48no—
315C2×#126C2314yes—
316C2×#126C2312yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#125C2311yescharacteristic
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#124C2312yes—
327C2×#124C2311yescharacteristic
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#123C2312yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2312yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×#121C2312yes—
345C2×#121C2314yes—
346C2×#121C2312yes—
347C2×#121C2311yescharacteristic
348C2×#121C2311yescharacteristic
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2311yescharacteristic
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2314yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#121C2312yes—
367#520—48no—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2312yes—
402C2×C4×D4C2311yescharacteristic
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2311yescharacteristic
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2314yes—
410C2×#117C2314yes—
411C2×#117C2314yes—
412C2×#117C2311yescharacteristic
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2311yescharacteristic
415C22×C4⋊C4C2314yes—
416C22×C4⋊C4C2311yescharacteristic
417C22×C42C2311yescharacteristic
418C22×C42C2312yes—
419C22×C42C2312yes—
420C22×C42C2312yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2312yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2312yes—
432#399C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2312yes—
442#398C2314yes—
443#398C2312yes—
444#398C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2312yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2314yes—
460#397C2312yes—
461#397C2312yes—
462#397C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2312yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2312yes—
474#396C2314yes—
475#394C2314yes—
476#394C2312yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2312yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2312yes—
496#394C2314yes—
497#394C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2312yes—
501#394C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2312yes—
515#392C2314yes—
516#392C2314yes—
517#391C2312yes—
518#391C2311yescharacteristic
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2311yescharacteristic
524#390C2311yescharacteristic
525#390C2312yes—
526#390C2312yes—
527#390C2314yes—
528#390C2312yes—
529#390C2314yes—
530#390C2314yes—
531#390C2312yes—
532#390C2314yes—
533#390C2311yescharacteristic
534#390C2312yes—
535#390C2314yes—
536#390C2314yes—
537#390C2314yes—
538#390C2312yes—
539#390C2311yescharacteristic
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2314yes—
545#390C2314yes—
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#390C2314yes—
550#390C2314yes—
551#390C2314yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2311yescharacteristic
556#390C2314yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2314yes—
561#390C2311yescharacteristic
562#390C2311yescharacteristic
563#390C2311yescharacteristic
564#390C2311yescharacteristic
565#390C2312yes—
566#390C2314yes—
567#390C2314yes—
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2311yescharacteristic
577#389C2314yes—
578#389C2311yescharacteristic
579#389C2312yes—
580#389C2312yes—
581#389C2314yes—
582#389C2314yes—
583#389C2312yes—
584#389C2314yes—
585#389C2312yes—
586#389C2311yescharacteristic
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2314yes—
593#389C2312yes—
594#389C2312yes—
595#389C2311yescharacteristic
596#389C2312yes—
597#389C2312yes—
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2312yes—
601#389C2312yes—
602#389C2311yescharacteristic
603#389C2314yes—
604#389C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2314yes—
630#388C2314yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2314yes—
635#388C2314yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2314yes—
640#388C2312yes—
641#388C2312yes—
642#388C2314yes—
643#388C2312yes—
644#388C2312yes—
645#388C2312yes—
646#388C2314yes—
647#388C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2312yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2312yes—
664#387C2314yes—
665#387C2314yes—
666#387C2312yes—
667#387C2314yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2312yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2312yes—
691#386C2314yes—
692#386C2312yes—
693#386C2314yes—
694#386C2312yes—
695#386C2314yes—
696#386C2312yes—
697#386C2312yes—
698#386C2314yes—
699#386C2312yes—
700#385C2312yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2312yes—
711#385C2312yes—
712#385C2314yes—
713#385C2312yes—
714#385C2312yes—
715#385C2312yes—
716#385C2314yes—
717#385C2312yes—
718#384C2311yescharacteristic
719#384C2311yescharacteristic
720#384C2312yes—
721#384C2314yes—
722#384C2311yescharacteristic
723#384C2312yes—
724#384C2312yes—
725#384C2312yes—
726#383C2314yes—
727#382C2311yescharacteristic
728#382C2312yes—
729#382C2312yes—
730#381C2314yes—
731#381C2312yes—
732#381C2314yes—
733#381C2314yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2314yes—
739#380C2312yes—
740#380C2314yes—
741#380C2314yes—
742#380C2312yes—
743#380C2312yes—
744#380C2311yescharacteristic
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
810#376C2311yescharacteristic
811#376C2312yes—
812#376C2314yes—
813#376C2311yescharacteristic
814C2×#95C2312yes—
815C43C2314yes—
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2312yes—
819C2×#41—28no—
820C2×#41—44no—
821C2×#41—44no—
822C22×Q8C2412yes—
823C22×Q8C2411yescharacteristic
824C22×D4C2411yescharacteristic
825C22×D4C2411yescharacteristic
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2414yes—
832C22×D4C2412yes—
833C22×D4C2414yes—
834C22×D4C2414yes—
835C22×D4C2412yes—
836C22×D4C2414yes—
837C22×D4C2412yes—
838C22×D4C2414yes—
839C22×D4C2412yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2414yes—
851C23×C4C2414yes—
852C23×C4C2414yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2414yes—
859C23×C4C2412yes—
860C4⋊Q8—24no—
861#127—24no—
862#127—28no—
863#127—44no—
864#127—42no—
865#127—44no—
866#127—48no—
867#126—28no—
868#126—216no—
869#126—48no—
870#126—48no—
871#126—48no—
872#126—48no—
873#125—24no—
874#125—24no—
875#125—28no—
876#125—44no—
877#125—44no—
878#124—24no—
879#124—28no—
880#124—44no—
881#124—44no—
882#124—44no—
883#123—28no—
884#123—48no—
885#123—44no—
886#123—48no—
887#123—48no—
888#123—48no—
889#123—48no—
890#123—48no—
891C22⋊Q8—24no—
892C22⋊Q8—28no—
893C22⋊Q8—44no—
894C22⋊Q8—44no—
895C22⋊Q8—44no—
896#121—24no—
897#121—28no—
898#121—216no—
899#121—24no—
900#121—28no—
901#121—48no—
902#121—48no—
903#121—48no—
904#121—48no—
905#121—44no—
906#121—44no—
907#121—44no—
908#121—44no—
909#121—44no—
910#121—42no—
911#121—48no—
912#121—44no—
913#121—44no—
914#121—44no—
915#121—44no—
916#121—44no—
917#121—44no—
918#121—48no—
919C4×Q8—24no—
920C4×Q8—28no—
921C4×Q8—28no—
922C4×Q8—42no—
923C4×Q8—44no—
924C4×Q8—44no—
925C4×Q8#4118yes—
926C4×D4—28no—
927C4×D4—24no—
928C4×D4—24no—
929C4×D4—24no—
930C4×D4—28no—
931C4×D4—24no—
932C4×D4—28no—
933C4×D4—24no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—48no—
937C4×D4—42no—
938C4×D4—42no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—48no—
943C4×D4—48no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—48no—
948C4×D4—48no—
949C4×D4—48no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—48no—
953C4×D4—44no—
954#117—28no—
955#117—28no—
956#117—28no—
957#117—44no—
958#117—44no—
959#117—42no—
960#117—48no—
961#117—48no—
962#117—48no—
963#117—42no—
964C2×C4⋊C4—28no—
965C2×C4⋊C4—24no—
966C2×C4⋊C4—42no—
967C2×C4⋊C4—48no—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C42—24no—
1099C2×C42—44no—
1100C2×C42—44no—
1101C2×C42—44no—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2414yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2414yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2414yes—
1111C2×C42C2412yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2411yescharacteristic
1115C2×C42C2412yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2414yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2414yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2414yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2411yescharacteristic
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2411yescharacteristic
1145#95C2411yescharacteristic
1146#95C2411yescharacteristic
1147#95C2411yescharacteristic
1148#95C2414yes—
1149#95C2411yescharacteristic
1150#95C2414yes—
1151#95C2414yes—
1152#95C2411yescharacteristic
1153#95C2411yescharacteristic
1154#95C2411yescharacteristic
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197C24C2512yes—
1198C24C2512yes—
1199C24C2512yes—
1200C24C2514yes—
1201C24C2511yescharacteristic
1202#41—432no—
1203C2×Q8—24no—
1204C2×Q8—22no—
1205C2×Q8—24no—
1206C2×Q8—22no—
1207C2×Q8—24no—
1208C2×Q8C2×#4114yes—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—28no—
1213C2×D4—24no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—24no—
1218C2×D4—28no—
1219C2×D4—24no—
1220C2×D4—28no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—24no—
1226C2×D4—22no—
1227C2×D4—24no—
1228C2×D4—28no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—24no—
1232C2×D4—22no—
1233C2×D4—24no—
1234C2×D4—44no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—44no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—42no—
1243C2×D4—44no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C22×C4—22no—
1270C22×C4—24no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—28no—
1277C22×C4—24no—
1278C22×C4—22no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—22no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—22no—
1285C22×C4—24no—
1286C22×C4—22no—
1287C22×C4—24no—
1288C22×C4—28no—
1289C22×C4—24no—
1290C22×C4—28no—
1291C22×C4—24no—
1292C22×C4—24no—
1293C22×C4—24no—
1294C22×C4—44no—
1295C22×C4—41no—
1296C22×C4—44no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—42no—
1307C22×C4—42no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4C2512yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2511yescharacteristic
1323C22×C4C2512yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C22×C4C2514yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2512yes—
1330C22×C4C2514yes—
1331C22×C4C2512yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2514yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2511yescharacteristic
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C22×C4C2511yescharacteristic
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—24no—
1354C4⋊C4—28no—
1355C4⋊C4—24no—
1356C4⋊C4—28no—
1357C4⋊C4—24no—
1358C4⋊C4—22no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—28no—
1364C4⋊C4—24no—
1365C4⋊C4—22no—
1366C4⋊C4—24no—
1367C4⋊C4—28no—
1368C4⋊C4—28no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—24no—
1374C4⋊C4—22no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—44no—
1378C4⋊C4—41no—
1379C4⋊C4—41no—
1380C4⋊C4—41no—
1381C4⋊C4—42no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—44no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—42no—
1406C4⋊C4C2×#4114yes—
1407C4⋊C4C2×#4118yes—
1408C4⋊C4H(5,𝔽2)14yes—
1409C4⋊C4H(5,𝔽2)14yes—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—28no—
1415C22⋊C4—28no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—28no—
1422C22⋊C4—28no—
1423C22⋊C4—24no—
1424C22⋊C4—28no—
1425C22⋊C4—28no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—22no—
1429C22⋊C4—28no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—41no—
1433C22⋊C4—42no—
1434C22⋊C4—44no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C42—22no—
1478C42—22no—
1479C42—22no—
1480C42—28no—
1481C42—24no—
1482C42—22no—
1483C42—24no—
1484C42—28no—
1485C42—22no—
1486C42—28no—
1487C42—24no—
1488C42—22no—
1489C42—24no—
1490C42—22no—
1491C42—22no—
1492C42—24no—
1493C42—22no—
1494C42—24no—
1495C42—22no—
1496C42—22no—
1497C42—22no—
1498C42—42no—
1499C42—42no—
1500C42—42no—
1501C42—42no—
1502C42—42no—
1503C42—42no—
1504C42—41no—
1505C42—41no—
1506C42—41no—
1507C42—44no—
1508C42—42no—
1509C42—42no—
1510C42—44no—
1511C42—44no—
1512C42C2×#4114yes—
1513C42C2×#4118yes—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23—24no—
1524C23—22no—
1525C23—22no—
1526C23—22no—
1527C23—24no—
1528C23—24no—
1529C23—22no—
1530C23—22no—
1531C23—22no—
1532C23—22no—
1533C23—24no—
1534C23—22no—
1535C23—24no—
1536C23—22no—
1537C23—22no—
1538C23—22no—
1539C23—22no—
1540C23—24no—
1541C23—22no—
1542C23—22no—
1543C23—22no—
1544C23—22no—
1545C23—22no—
1546C23—24no—
1547C23—22no—
1548C23#58512yes—
1549C23C2611yescharacteristic
1550Q8—28no—
1551Q8—48no—
1552D4—48no—
1553D4—48no—
1554D4—416no—
1555D4—44no—
1556D4—48no—
1557D4—44no—
1558D4—44no—
1559D4—48no—
1560D4—88no—
1561D4—84no—
1562D4—88no—
1563D4—84no—
1564D4—88no—
1565D4—84no—
1566D4—88no—
1567D4—84no—
1568D4—164no—
1569D4—164no—
1570D4—164no—
1571D4—164no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—24no—
1602C2×C4—24no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—24no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—24no—
1631C2×C4—24no—
1632C2×C4—24no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—24no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—44no—
1651C2×C4—416no—
1652C2×C4—44no—
1653C2×C4—48no—
1654C2×C4—48no—
1655C2×C4—44no—
1656C2×C4—48no—
1657C2×C4—88no—
1658C2×C4—84no—
1659C2×C4—88no—
1660C2×C4—84no—
1661C2×C4—84no—
1662C2×C4—84no—
1663C2×C4—84no—
1664C2×C4—84no—
1665C2×C4—164no—
1666C2×C4C22×#4114yes—
1667C2×C4C22×#4112yes—
1668C2×C4C22×#4114yes—
1669C2×C4C22×#4112yes—
1670C2×C4C22×#4112yes—
1671C2×C4C2×H(5,𝔽2)14yes—
1672C2×C4C2×H(5,𝔽2)14yes—
1673C2×C4C2×H(5,𝔽2)12yes—
1674C2×C4C2×H(5,𝔽2)12yes—
1675C2×C4#58512yes—
1676C2×C4#58512yes—
1677C2×C4#58512yes—
1678C22—22no—
1679C22—22no—
1680C22—22no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—42no—
1686C22—44no—
1687C22—42no—
1688C22—42no—
1689C22—42no—
1690C22—42no—
1691C22—42no—
1692C22—44no—
1693C22—42no—
1694C22—42no—
1695C22—42no—
1696C22—44no—
1697C22—42no—
1698C22—42no—
1699C22—42no—
1700C22—44no—
1701C22—42no—
1702C22—42no—
1703C22—42no—
1704C22—44no—
1705C22—42no—
1706C22—42no—
1707C22—44no—
1708C22—42no—
1709C22—44no—
1710C22—42no—
1711C22—42no—
1712C22—42no—
1713C22C23×#4111yescharacteristic
1714C22C22×H(5,𝔽2)11yescharacteristic
1715C22C22×H(5,𝔽2)11yescharacteristic
1716C22C2×#58511yescharacteristic
1717C22C2×#58511yescharacteristic
1718C22C2×#58511yescharacteristic
1719C22C2×#58511yescharacteristic
1720C4—24no—
1721C4—24no—
1722C4—22no—
1723C4—22no—
1724C4—24no—
1725C4—24no—
1726C4—41no—
1727C4—42no—
1728C4—44no—
1729C4—42no—
1730C4—41no—
1731C4—41no—
1732C4—42no—
1733C4—41no—
1734C4—42no—
1735C4—41no—
1736C4—42no—
1737C4—41no—
1738C4—44no—
1739C4—42no—
1740C4—41no—
1741C4—41no—
1742C4—42no—
1743C4—44no—
1744C4—41no—
1745C4—41no—
1746C4—42no—
1747C4—42no—
1748C4#346014yes—
1749C4#351714yes—
1750C2—42no—
1751C2—82no—
1752C2—84no—
1753C2—82no—
1754C2—82no—
1755C2C2×#346011yescharacteristic
1756C2C2×#351711yescharacteristic
1757C2#6281011yescharacteristic
1758C2#6301411yescharacteristic
1759C2#6301811yescharacteristic
1760C2#6301911yescharacteristic
1761C2#6302911yescharacteristic
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. #42768C2semidirect
2. #42593C2semidirect
3. #42143C2semidirect
4. #42138C2semidirect
5. #40430C2semidirect
6. #40221C2semidirect
7. #39823C2semidirect
8. #39786C2semidirect
9. #39747C2semidirect
10. #39260C2semidirect
11. #39183C2semidirect
12. #39138C2semidirect
13. #39136C2semidirect
14. #38314C2semidirect
15. #37798C2semidirect
16. #37775C2semidirect
17. #37627C2semidirect
18. #37587C2semidirect
19. #36596C2semidirect
20. #36472C2semidirect
21. #36468C2semidirect
22. #36297C2semidirect
23. #36116C2semidirect
24. #36115C2semidirect
25. #35793C2semidirect
26. #35763C2semidirect
27. #35288C2semidirect
28. #35216C2semidirect
29. #35171C2semidirect
30. #35109C2semidirect
31. #34970C2semidirect
32. #34934C2semidirect
33. #34313C2semidirect
34. C4×#556C2semidirect
35. #34153C2semidirect

Maximal subgroups

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

subgroupindex
#427682
#425932
#421432
#421382
#404302
#402212
#398232
#397862
#397472
#392602
#391832
#391382
#391362
#383142
#377982
#377752
#376272
#375872
#365962
#364722
#364682
#362972
#361162
#361152
#357932
#357632
#352882
#352162
#351712
#351092
#349702
#349342
#343132
C4×#5562
#341532