Finite Group Databasebeta

← #8197063

Subgroups — #8197063

Order 512.

4771 conjugacy classes of subgroups.

The subgroup lattice has 1749 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59821C212yesmaximal, complemented
2#59459C212yesmaximal, complemented
3#59244C211yesmaximal, characteristic, complemented
4#59243C211yesmaximal, characteristic, complemented
5#59052C211yesmaximal, characteristic, complemented
6#59036C211yesmaximal, characteristic, complemented
7#58021C214yesmaximal, complemented
8#57264C214yesmaximal, complemented
9#53058C212yesmaximal, complemented
10#53045C212yesmaximal, complemented
11#50048C214yesmaximal, complemented
12#47606C214yesmaximal, complemented
13#46342C212yesmaximal, complemented
14#46340C212yesmaximal, complemented
15#45325C212yesmaximal, complemented
16#45048C212yesmaximal, complemented
17#42920C212yesmaximal, complemented
18#42911C212yesmaximal, complemented
19#42768C212yesmaximal, complemented
20#42604C212yesmaximal, complemented
21#40212C212yesmaximal, complemented
22#40190C212yesmaximal, complemented
23#40131C212yesmaximal, complemented
24#39781C212yesmaximal, complemented
25#39598C211yesmaximal, characteristic, complemented
26#39596C211yesmaximal, characteristic, complemented
27#39470C211yesmaximal, characteristic, complemented
28#39343C211yesmaximal, characteristic, complemented
29#36481C211yesmaximal, characteristic, complemented
30#36480C211yesmaximal, characteristic, complemented
31#36473C211yesmaximal, characteristic, complemented
32#36459C211yesmaximal, characteristic, complemented
33#35297C211yesmaximal, characteristic, complemented
34#34979C211yesmaximal, characteristic, complemented
35#34977C211yesmaximal, characteristic
36C2×#556C2212yes—
37C2×#556C2212yes—
38C2×#554C2211yescharacteristic
39C2×D4×Q8C2211yescharacteristic
40C2×#536C2212yes—
41C2×#533C2211yescharacteristic
42C2×#533C2211yescharacteristic
43C2×#532C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45#2863C2212yes—
46#2863C2212yes—
47#2860C2212yes—
48#2860C2212yes—
49#2857C2211yescharacteristic
50#2857C2211yescharacteristic
51#2857C2211yescharacteristic
52#2857C2211yescharacteristic
53#2838C2214yes—
54#2837C2214yes—
55#2831C2214yes—
56#2830C2214yes—
57#2829C2214yes—
58#2829C2214yes—
59#2821C2214yes—
60#2803C2214yes—
61#2801C2214yes—
62#2797C2214yes—
63#2795C2214yes—
64#2792C2214yes—
65#2792C2214yes—
66#2786C2214yes—
67#2779C2214yes—
68#2775C2214yes—
69#2774C2214yes—
70#2770C2214yes—
71#2766C2214yes—
72#2764C2214yes—
73#2759C2214yes—
74#2757C2214yes—
75#2757C2214yes—
76#2737C2214yes—
77#2737C2214yes—
78#2732C2214yes—
79#2730C2214yes—
80#2727C2214yes—
81#2727C2214yes—
82#2720C2214yes—
83#2718C2214yes—
84#2718C2214yes—
85#2716C2214yes—
86#2715C2214yes—
87#2715C2214yes—
88#2712C2214yes—
89#2710C2214yes—
90#2710C2214yes—
91#2709C2214yes—
92#2705C2214yes—
93#2704C2214yes—
94#2702C2214yes—
95#2700C2214yes—
96#2695C2214yes—
97#2692C2214yes—
98#2692C2214yes—
99#2683C2214yes—
100#2681C2214yes—
101#2674C2214yes—
102#2674C2214yes—
103#2672C2214yes—
104#2662C2214yes—
105#2662C2214yes—
106#2654C2214yes—
107#2651C2214yes—
108#2650C2214yes—
109#2632C2214yes—
110#2629C2212yes—
111#2628C2212yes—
112#2625C2212yes—
113#2616C2212yes—
114#2616C2212yes—
115#2616C2212yes—
116#2611C2212yes—
117#2611C2212yes—
118#2610C2212yes—
119#2610C2212yes—
120#2606C2214yes—
121#2605C2214yes—
122#2604C2214yes—
123#2597C2214yes—
124#2594C2214yes—
125#2586C2214yes—
126#2586C2214yes—
127#2584C2212yes—
128#2584C2212yes—
129#2581C2212yes—
130#2580C2212yes—
131#2568C2211yescharacteristic
132#2567C2211yescharacteristic
133#2567C2214yes—
134#2567C2212yes—
135#2567C2211yescharacteristic
136#2563C2211yescharacteristic
137#2563C2211yescharacteristic
138#2562C2212yes—
139#2560C2214yes—
140#2557C2214yes—
141#2552C2212yes—
142#2552C2211yescharacteristic
143#2551C2212yes—
144#2551C2211yescharacteristic
145#2550C2212yes—
146#2550C2212yes—
147#2548C2211yescharacteristic
148#2548C2214yes—
149#2547C2211yescharacteristic
150#2546C2211yescharacteristic
151#2546C2211yescharacteristic
152#2542C2212yes—
153#2542C2211yescharacteristic
154#2542C2211yescharacteristic
155#2542C2212yes—
156#2541C2211yescharacteristic
157#2538C2212yes—
158#2538C2211yescharacteristic
159#2538C2212yes—
160#2538C2211yescharacteristic
161#2538C2212yes—
162#2536C2212yes—
163#2532C2214yes—
164#2522C2214yes—
165#2521C2214yes—
166#2521C2214yes—
167#2513C2212yes—
168#2512C2212yes—
169#2512C2214yes—
170#2512C2214yes—
171#2509C2212yes—
172#2507C2212yes—
173#2500C2212yes—
174#2499C2212yes—
175#2499C2212yes—
176#2497C2212yes—
177#2496C2212yes—
178#2496C2212yes—
179#2496C2212yes—
180#2495C2212yes—
181#2494C2212yes—
182#2494C2212yes—
183#2492C2212yes—
184#2492C2212yes—
185#2492C2212yes—
186#2491C2212yes—
187#2491C2212yes—
188#2491C2212yes—
189#2490C2212yes—
190#2490C2212yes—
191#2490C2212yes—
192#2486C2212yes—
193#2485C2212yes—
194#2485C2212yes—
195#2485C2212yes—
196#2485C2212yes—
197#2469C2214yes—
198#2465C2214yes—
199#2465C2214yes—
200#2458C2214yes—
201#2458C2214yes—
202#2454C2212yes—
203#2454C2212yes—
204#2451C2214yes—
205#2451C2214yes—
206#2448C2214yes—
207#2448C2214yes—
208#2445C2212yes—
209#2445C2212yes—
210#2441C2212yes—
211#2441C2212yes—
212#2440C2212yes—
213#2439C2212yes—
214#2439C2212yes—
215#2439C2212yes—
216#2434C2212yes—
217#2432C2212yes—
218#2431C2212yes—
219#2429C2212yes—
220#2429C2212yes—
221#2429C2212yes—
222#2423C2212yes—
223#2423C2212yes—
224#2423C2214yes—
225#2422C2212yes—
226#2421C2212yes—
227#2420C2212yes—
228#2417C2212yes—
229#2417C2212yes—
230#2415C2211yescharacteristic
231#2415C2212yes—
232#2415C2212yes—
233#2415C2212yes—
234#2415C2211yescharacteristic
235#2415C2212yes—
236#2415C2212yes—
237#2415C2211yescharacteristic
238#2415C2212yes—
239#2415C2211yescharacteristic
240#2414C2211yescharacteristic
241#2414C2211yescharacteristic
242#2414C2211yescharacteristic
243#2414C2211yescharacteristic
244#2409C2212yes—
245#2409C2212yes—
246#2409C2212yes—
247#2395C2212yes—
248#2395C2212yes—
249#2388C2212yes—
250#2388C2212yes—
251#2376C2214yes—
252#2370C2212yes—
253#2370C2212yes—
254#2369C2211yescharacteristic
255#2365C2212yes—
256#2365C2212yes—
257#2365C2211yescharacteristic
258#2363C2212yes—
259#2363C2212yes—
260#2362C2212yes—
261#2360C2212yes—
262#2355C2211yescharacteristic
263#2354C2212yes—
264#2354C2211yescharacteristic
265#2354C2211yescharacteristic
266#2354C2212yes—
267Q8×C4⋊C4C2214yes—
268Q8×C4⋊C4C2211yescharacteristic
269#2347C2212yes—
270#2347C2212yes—
271#2347C2212yes—
272Q8×C22⋊C4C2212yes—
273#2334C2214yes—
274#2332C2214yes—
275#2324C2212yes—
276#2324C2212yes—
277#2323C2212yes—
278#2323C2212yes—
279#2311C2212yes—
280C4×C4⋊Q8C2212yes—
281C4×C4⋊Q8C2212yes—
282C4×C4⋊Q8C2212yes—
283C4×C4⋊Q8C2212yes—
284C4×#127C2212yes—
285C4×#125C2212yes—
286C4×#124C2212yes—
287C4×#124C2212yes—
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2211yescharacteristic
290C4×C22⋊Q8C2211yescharacteristic
291C4×C22⋊Q8C2211yescharacteristic
292C4×#121C2211yescharacteristic
293C4×#121C2211yescharacteristic
294C4×#121C2211yescharacteristic
295C4×#121C2211yescharacteristic
296#2285C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301C23×Q8C2312yes—
302#556—48no—
303#556—48no—
304#554—44no—
305D4×Q8—44no—
306#536—48no—
307#533—44no—
308#533—44no—
309#532—44no—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2314yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2311yescharacteristic
321C2×#127C2312yes—
322C2×#127C2311yescharacteristic
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#126C2314yes—
326C2×#126C2314yes—
327C2×#126C2314yes—
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#125C2312yes—
331C2×#125C2312yes—
332C2×#124C2312yes—
333C2×#124C2314yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2314yes—
337C2×#124C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2311yescharacteristic
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2311yescharacteristic
360C2×C22⋊Q8C2314yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2314yes—
363C2×#121C2311yescharacteristic
364C2×#121C2311yescharacteristic
365C2×#121C2311yescharacteristic
366C2×#121C2311yescharacteristic
367C2×#121C2311yescharacteristic
368C2×#121C2311yescharacteristic
369C2×#121C2312yes—
370C4×#41—44no—
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2314yes—
377C2×C4×Q8C2314yes—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2314yes—
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2311yescharacteristic
398C2×#117C2311yescharacteristic
399C2×#117C2311yescharacteristic
400C2×#117C2312yes—
401C2×#117C2311yescharacteristic
402C2×#117C2312yes—
403C2×#117C2311yescharacteristic
404C2×#117C2311yescharacteristic
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2311yescharacteristic
408C2×#117C2312yes—
409C2×#117C2311yescharacteristic
410C22×C4⋊C4C2312yes—
411C22×C42C2311yescharacteristic
412C22×C42C2311yescharacteristic
413C22×C42C2311yescharacteristic
414#401C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2312yes—
419#400C2312yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#399C2312yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2312yes—
431#399C2314yes—
432#399C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2312yes—
446#398C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2312yes—
455#397C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2312yes—
463#397C2312yes—
464#397C2312yes—
465#397C2314yes—
466#397C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#395C2314yes—
481#395C2314yes—
482#395C2312yes—
483#395C2314yes—
484#395C2314yes—
485#395C2312yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#395C2314yes—
491#395C2314yes—
492#395C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2312yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2312yes—
502#394C2314yes—
503#394C2312yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2312yes—
508#394C2314yes—
509#394C2312yes—
510#394C2312yes—
511#394C2312yes—
512#394C2312yes—
513#394C2312yes—
514#394C2312yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#393C2314yes—
519#393C2312yes—
520#393C2312yes—
521#393C2314yes—
522#393C2314yes—
523#393C2314yes—
524#393C2314yes—
525#393C2314yes—
526#393C2314yes—
527#393C2314yes—
528#392C2312yes—
529#392C2312yes—
530#392C2312yes—
531#392C2312yes—
532#392C2312yes—
533#392C2312yes—
534#391C2314yes—
535#391C2311yescharacteristic
536#391C2314yes—
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2314yes—
541#391C2314yes—
542#391C2312yes—
543#391C2314yes—
544#391C2312yes—
545#391C2314yes—
546#391C2311yescharacteristic
547#391C2311yescharacteristic
548#391C2311yescharacteristic
549#391C2312yes—
550#391C2312yes—
551#391C2312yes—
552#391C2314yes—
553#391C2312yes—
554#391C2314yes—
555#391C2312yes—
556#391C2312yes—
557#391C2312yes—
558#391C2314yes—
559#390C2314yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2314yes—
568#390C2314yes—
569#390C2314yes—
570#390C2312yes—
571#390C2312yes—
572#390C2311yescharacteristic
573#390C2312yes—
574#390C2311yescharacteristic
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2314yes—
579#390C2314yes—
580#390C2314yes—
581#390C2312yes—
582#390C2311yescharacteristic
583#390C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2312yes—
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2314yes—
592#389C2312yes—
593#389C2314yes—
594#389C2312yes—
595#389C2312yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2312yes—
600#389C2312yes—
601#389C2314yes—
602#389C2314yes—
603#389C2312yes—
604#389C2314yes—
605#389C2311yescharacteristic
606#389C2312yes—
607#389C2311yescharacteristic
608#389C2314yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2314yes—
614#389C2312yes—
615#389C2312yes—
616#389C2314yes—
617#389C2312yes—
618#389C2314yes—
619#389C2314yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2314yes—
626#389C2312yes—
627#389C2314yes—
628#389C2311yescharacteristic
629#389C2312yes—
630#389C2312yes—
631#389C2311yescharacteristic
632#389C2314yes—
633#389C2311yescharacteristic
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2312yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2312yes—
653#388C2314yes—
654#388C2314yes—
655#388C2312yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2312yes—
665#388C2314yes—
666#388C2314yes—
667#388C2312yes—
668#388C2312yes—
669#388C2312yes—
670#388C2312yes—
671#388C2312yes—
672#388C2312yes—
673#388C2312yes—
674#388C2312yes—
675#388C2314yes—
676#388C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2312yes—
697#387C2314yes—
698#387C2314yes—
699#387C2312yes—
700#387C2312yes—
701#387C2314yes—
702#387C2312yes—
703#387C2314yes—
704#386C2312yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2312yes—
711#386C2312yes—
712#386C2312yes—
713#386C2314yes—
714#386C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2312yes—
721#385C2312yes—
722#385C2312yes—
723#385C2312yes—
724#385C2314yes—
725#385C2314yes—
726#384C2312yes—
727#384C2312yes—
728#384C2312yes—
729#384C2312yes—
730#384C2312yes—
731#384C2314yes—
732#384C2314yes—
733#384C2311yescharacteristic
734#384C2311yescharacteristic
735#384C2312yes—
736#383C2314yes—
737#383C2314yes—
738#383C2314yes—
739#382C2312yes—
740#382C2312yes—
741#382C2312yes—
742#382C2312yes—
743#382C2312yes—
744#381C2314yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2311yescharacteristic
752#380C2311yescharacteristic
753#380C2311yescharacteristic
754#380C2311yescharacteristic
755#380C2311yescharacteristic
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2314yes—
761#380C2312yes—
762#380C2311yescharacteristic
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2311yescharacteristic
767#380C2312yes—
768#380C2314yes—
769#380C2314yes—
770#380C2311yescharacteristic
771#380C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2314yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815#376C2312yes—
816#376C2312yes—
817C43C2312yes—
818C43C2312yes—
819C2×#41—42no—
820C2×#41—44no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—42no—
824C2×#41—42no—
825C22×Q8—44no—
826C22×Q8—44no—
827C22×Q8—44no—
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×Q8C2411yescharacteristic
831C22×Q8C2414yes—
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×Q8C2412yes—
835C22×Q8C2414yes—
836C22×Q8C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2411yescharacteristic
839C22×D4C2411yescharacteristic
840C22×D4C2411yescharacteristic
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2411yescharacteristic
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2414yes—
862C23×C4C2414yes—
863C4⋊Q8—28no—
864C4⋊Q8—28no—
865C4⋊Q8—24no—
866C4⋊Q8—24no—
867C4⋊Q8—42no—
868C4⋊Q8—42no—
869C4⋊Q8—48no—
870C4⋊Q8—44no—
871C4⋊Q8—44no—
872C4⋊Q8—42no—
873C4⋊Q8—44no—
874#127—44no—
875#127—42no—
876#126—48no—
877#126—48no—
878#126—48no—
879#126—48no—
880#126—48no—
881#125—28no—
882#125—44no—
883#125—44no—
884#125—44no—
885#124—44no—
886#124—48no—
887#124—44no—
888#124—44no—
889#124—48no—
890#124—48no—
891#123—48no—
892#123—48no—
893#123—48no—
894C22⋊Q8—24no—
895C22⋊Q8—28no—
896C22⋊Q8—24no—
897C22⋊Q8—48no—
898C22⋊Q8—48no—
899C22⋊Q8—48no—
900C22⋊Q8—44no—
901C22⋊Q8—44no—
902C22⋊Q8—44no—
903C22⋊Q8—42no—
904C22⋊Q8—44no—
905C22⋊Q8—42no—
906C22⋊Q8—42no—
907C22⋊Q8—44no—
908C22⋊Q8—42no—
909C22⋊Q8—44no—
910C22⋊Q8—44no—
911C22⋊Q8—44no—
912C22⋊Q8—44no—
913C22⋊Q8—44no—
914C22⋊Q8—44no—
915C22⋊Q8—44no—
916#121—24no—
917#121—24no—
918#121—24no—
919#121—24no—
920#121—44no—
921#121—42no—
922#121—42no—
923C4×Q8—24no—
924C4×Q8—24no—
925C4×Q8—42no—
926C4×Q8—42no—
927C4×Q8—44no—
928C4×Q8—48no—
929C4×Q8—44no—
930C4×Q8—44no—
931C4×Q8—48no—
932C4×Q8—48no—
933C4×Q8—44no—
934C4×Q8—44no—
935C4×D4—24no—
936C4×D4—24no—
937C4×D4—44no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—42no—
942C4×D4—42no—
943C4×D4—42no—
944C4×D4—42no—
945C4×D4—42no—
946C4×D4—42no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—44no—
950#117—28no—
951#117—24no—
952#117—24no—
953#117—24no—
954#117—42no—
955#117—42no—
956#117—42no—
957#117—44no—
958#117—42no—
959#117—44no—
960#117—44no—
961#117—44no—
962C2×C4⋊C4—44no—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C42—24no—
1098C2×C42—24no—
1099C2×C42—24no—
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2414yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2414yes—
1122C2×C42C2414yes—
1123C2×C42C2414yes—
1124C2×C42C2412yes—
1125C2×C42C2414yes—
1126C2×C42C2414yes—
1127C2×C42C2414yes—
1128C2×C42C2414yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2411yescharacteristic
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194C24C2511yescharacteristic
1195C24C2511yescharacteristic
1196C24C2512yes—
1197C24C2511yescharacteristic
1198C24C2512yes—
1199#41—416no—
1200#41—816no—
1201C2×Q8—22no—
1202C2×Q8—22no—
1203C2×Q8—22no—
1204C2×Q8—28no—
1205C2×Q8—24no—
1206C2×Q8—24no—
1207C2×Q8—22no—
1208C2×Q8—24no—
1209C2×Q8—28no—
1210C2×Q8—22no—
1211C2×Q8—24no—
1212C2×Q8—22no—
1213C2×Q8—22no—
1214C2×Q8—22no—
1215C2×Q8—24no—
1216C2×Q8—41no—
1217C2×Q8—44no—
1218C2×Q8—42no—
1219C2×Q8—44no—
1220C2×Q8—42no—
1221C2×Q8—42no—
1222C2×Q8—44no—
1223C2×Q8—42no—
1224C2×Q8—42no—
1225C2×Q8—42no—
1226C2×Q8—44no—
1227C2×Q8—42no—
1228C2×Q8—816no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—24no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—24no—
1278C22×C4—22no—
1279C22×C4—24no—
1280C22×C4—22no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—24no—
1293C22×C4—24no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2514yes—
1314C22×C4C2511yescharacteristic
1315C22×C4C2512yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2514yes—
1321C22×C4C2512yes—
1322C22×C4C2514yes—
1323C22×C4C2512yes—
1324C22×C4C2514yes—
1325C22×C4C2512yes—
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C22×C4C2512yes—
1329C22×C4C2511yescharacteristic
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C4⋊C4—22no—
1338C4⋊C4—24no—
1339C4⋊C4—22no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—28no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—28no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—28no—
1357C4⋊C4—28no—
1358C4⋊C4—24no—
1359C4⋊C4—28no—
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—24no—
1364C4⋊C4—28no—
1365C4⋊C4—28no—
1366C4⋊C4—24no—
1367C4⋊C4—44no—
1368C4⋊C4—41no—
1369C4⋊C4—41no—
1370C4⋊C4—41no—
1371C4⋊C4—41no—
1372C4⋊C4—41no—
1373C4⋊C4—41no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—44no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—42no—
1406C4⋊C4—44no—
1407C4⋊C4—42no—
1408C4⋊C4H(5,𝔽2)14yes—
1409C4⋊C42−1+414yes—
1410C4⋊C42−1+414yes—
1411C22⋊C4—28no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—28no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—42no—
1427C22⋊C4—41no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C42—22no—
1472C42—22no—
1473C42—22no—
1474C42—22no—
1475C42—22no—
1476C42—22no—
1477C42—22no—
1478C42—22no—
1479C42—22no—
1480C42—24no—
1481C42—28no—
1482C42—24no—
1483C42—24no—
1484C42—24no—
1485C42—24no—
1486C42—24no—
1487C42—24no—
1488C42—24no—
1489C42—24no—
1490C42—24no—
1491C42—24no—
1492C42—42no—
1493C42—44no—
1494C42—44no—
1495C42—44no—
1496C42—44no—
1497C42—44no—
1498C42—44no—
1499C42—44no—
1500C42—42no—
1501C42—42no—
1502C42H(5,𝔽2)14yes—
1503C23—21no—
1504C23—21no—
1505C23—22no—
1506C23—21no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—22no—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—22no—
1524C23—22no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—22no—
1532C23—22no—
1533C23—21no—
1534C23—22no—
1535C23—22no—
1536C23—21no—
1537C23—21no—
1538C23C2611yescharacteristic
1539Q8—416no—
1540Q8—44no—
1541Q8—44no—
1542Q8—48no—
1543Q8—44no—
1544Q8—84no—
1545Q8—84no—
1546Q8—88no—
1547Q8—84no—
1548D4—44no—
1549D4—44no—
1550D4—44no—
1551D4—44no—
1552D4—44no—
1553D4—84no—
1554D4—84no—
1555D4—84no—
1556D4—84no—
1557D4—84no—
1558D4—84no—
1559D4—84no—
1560D4—84no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—22no—
1593C2×C4—24no—
1594C2×C4—24no—
1595C2×C4—24no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—24no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—24no—
1624C2×C4—24no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—24no—
1628C2×C4—24no—
1629C2×C4—22no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—24no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—44no—
1640C2×C4—44no—
1641C2×C4—44no—
1642C2×C4—44no—
1643C2×C4—44no—
1644C2×C4—48no—
1645C2×C4—48no—
1646C2×C4—44no—
1647C2×C4—44no—
1648C2×C4—44no—
1649C2×C4—44no—
1650C2×C4—88no—
1651C2×C4—164no—
1652C2×C4C2×H(5,𝔽2)12yes—
1653C2×C4C2×H(5,𝔽2)14yes—
1654C2×C4C2×H(5,𝔽2)12yes—
1655C2×C4C2×H(5,𝔽2)12yes—
1656C2×C4C2×H(5,𝔽2)12yes—
1657C2×C4C2×2−1+414yes—
1658C2×C4C2×2−1+414yes—
1659C2×C4C2×2−1+412yes—
1660C2×C4C2×2−1+412yes—
1661C2×C4#58512yes—
1662C2×C4#58512yes—
1663C2×C4#58512yes—
1664C22—42no—
1665C22—41no—
1666C22—42no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—42no—
1672C22—42no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—42no—
1678C22—42no—
1679C22—41no—
1680C22—41no—
1681C22—42no—
1682C22—42no—
1683C22—41no—
1684C22—41no—
1685C22—42no—
1686C22—42no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—42no—
1692C22—41no—
1693C22—42no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—42no—
1698C22—42no—
1699C22C22×H(5,𝔽2)11yescharacteristic
1700C22C22×H(5,𝔽2)11yescharacteristic
1701C22C22×2−1+411yescharacteristic
1702C22C22×2−1+411yescharacteristic
1703C22C2×#58511yescharacteristic
1704C22C2×#58511yescharacteristic
1705C22C2×#58511yescharacteristic
1706C4—24no—
1707C4—24no—
1708C4—24no—
1709C4—22no—
1710C4—22no—
1711C4—22no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—42no—
1716C4—42no—
1717C4—42no—
1718C4—44no—
1719C4—42no—
1720C4—44no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—42no—
1725C4—42no—
1726C4—42no—
1727C4—42no—
1728C4—44no—
1729C4—42no—
1730C4—41no—
1731C4—42no—
1732C4—44no—
1733C4—42no—
1734C4#354614yes—
1735C4#355014yes—
1736C2—82no—
1737C2—81no—
1738C2—82no—
1739C2—81no—
1740C2—81no—
1741C2C2×#354611yescharacteristic
1742C2C2×#355011yescharacteristic
1743C2#6282111yescharacteristic
1744C2#6301311yescharacteristic
1745C2#6302511yescharacteristic
1746C2#6303411yescharacteristic
1747C2#6303911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34977C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59821C2semidirect
2. #59459C2semidirect
3. #59244C2semidirect
4. #59243C2semidirect
5. #59052C2semidirect
6. #59036C2semidirect
7. #58021C2semidirect
8. #57264C2semidirect
9. #53058C2semidirect
10. #53045C2semidirect
11. #50048C2semidirect
12. #47606C2semidirect
13. #46342C2semidirect
14. #46340C2semidirect
15. #45325C2semidirect
16. #45048C2semidirect
17. #42920C2semidirect
18. #42911C2semidirect
19. #42768C2semidirect
20. #42604C2semidirect
21. #40212C2semidirect
22. #40190C2semidirect
23. #40131C2semidirect
24. #39781C2semidirect
25. #39598C2semidirect
26. #39596C2semidirect
27. #39470C2semidirect
28. #39343C2semidirect
29. #36481C2semidirect
30. #36480C2semidirect
31. #36473C2semidirect
32. #36459C2semidirect
33. #35297C2semidirect
34. #34979C2semidirect

Maximal subgroups

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

subgroupindex
#598212
#594592
#592442
#592432
#590522
#590362
#580212
#572642
#530582
#530452
#500482
#476062
#463422
#463402
#453252
#450482
#429202
#429112
#427682
#426042
#402122
#401902
#401312
#397812
#395982
#395962
#394702
#393432
#364812
#364802
#364732
#364592
#352972
#349792
#349772