Finite Group Databasebeta

← #7646629

Subgroups — #7646629

Order 512.

5362 conjugacy classes of subgroups.

The subgroup lattice has 1748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42866C212yesmaximal, complemented
2#42860C212yesmaximal, complemented
3#42857C212yesmaximal, complemented
4#42853C212yesmaximal, complemented
5#42842C212yesmaximal, complemented
6#42835C212yesmaximal, complemented
7#42834C212yesmaximal, complemented
8#42828C212yesmaximal, complemented
9#40225C212yesmaximal, complemented
10#40218C212yesmaximal, complemented
11#40100C212yesmaximal, complemented
12#40098C212yesmaximal, complemented
13#39663C212yesmaximal, complemented
14#39659C212yesmaximal, complemented
15#39227C212yesmaximal, complemented
16#39215C212yesmaximal, complemented
17#37497C214yesmaximal, complemented
18#36997C214yesmaximal, complemented
19#36823C214yesmaximal, complemented
20#35668C211yesmaximal, characteristic, complemented
21#35667C211yesmaximal, characteristic, complemented
22#35666C211yesmaximal, characteristic, complemented
23#35660C211yesmaximal, characteristic
24#35312C211yesmaximal, characteristic, complemented
25#35308C211yesmaximal, characteristic, complemented
26#35182C211yesmaximal, characteristic, complemented
27#35178C211yesmaximal, characteristic, complemented
28#35160C211yesmaximal, characteristic, complemented
29#35158C211yesmaximal, characteristic, complemented
30#35058C214yesmaximal, complemented
31#34816C211yesmaximal, characteristic, complemented
32#34744C211yesmaximal, characteristic, complemented
33#34257C211yesmaximal, characteristic, complemented
34C2×#2365C211yesmaximal, characteristic, complemented
35C4×#536C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic
37C2×#544C2211yescharacteristic
38C2×#537C2211yescharacteristic
39C2×#536C2211yescharacteristic
40C2×#536C2211yescharacteristic
41C2×#536C2211yescharacteristic
42C2×#536C2211yescharacteristic
43C2×#532C2211yescharacteristic
44C22×C4⋊Q8C2211yescharacteristic
45C2×#519C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic
47C22×C4×Q8C2211yescharacteristic
48C22×C4×Q8C2211yescharacteristic
49#2862C2212yes—
50#2861C2212yes—
51#2857C2212yes—
52#2854C2214yes—
53#2853C2214yes—
54#2852C2214yes—
55#2850C2212yes—
56#2850C2214yes—
57#2833C2214yes—
58#2831C2214yes—
59#2830C2214yes—
60#2829C2214yes—
61#2808C2214yes—
62#2806C2214yes—
63#2805C2214yes—
64#2803C2214yes—
65#2803C2214yes—
66#2800C2214yes—
67#2800C2214yes—
68#2797C2214yes—
69#2788C2214yes—
70#2788C2214yes—
71#2788C2214yes—
72#2787C2214yes—
73#2787C2214yes—
74#2786C2214yes—
75#2784C2214yes—
76#2781C2214yes—
77#2780C2214yes—
78#2779C2214yes—
79#2775C2214yes—
80#2774C2214yes—
81#2774C2214yes—
82#2770C2214yes—
83#2770C2214yes—
84#2768C2214yes—
85#2768C2214yes—
86#2759C2214yes—
87#2750C2214yes—
88#2745C2214yes—
89#2727C2214yes—
90#2715C2214yes—
91#2710C2214yes—
92#2695C2214yes—
93#2666C2214yes—
94#2666C2214yes—
95#2665C2214yes—
96#2662C2214yes—
97#2653C2214yes—
98#2652C2214yes—
99#2652C2214yes—
100#2651C2214yes—
101#2651C2214yes—
102#2650C2214yes—
103#2649C2214yes—
104#2648C2214yes—
105#2643C2214yes—
106#2642C2212yes—
107#2640C2212yes—
108#2639C2214yes—
109#2623C2214yes—
110#2621C2212yes—
111#2620C2212yes—
112#2618C2214yes—
113#2597C2214yes—
114#2595C2214yes—
115#2593C2214yes—
116#2589C2214yes—
117#2589C2214yes—
118#2587C2214yes—
119#2587C2214yes—
120#2586C2214yes—
121#2578C2214yes—
122#2576C2214yes—
123#2574C2214yes—
124#2568C2212yes—
125#2567C2212yes—
126#2565C2212yes—
127#2565C2212yes—
128#2554C2214yes—
129#2548C2212yes—
130#2546C2212yes—
131#2546C2212yes—
132#2546C2212yes—
133#2545C2212yes—
134#2545C2212yes—
135#2545C2212yes—
136#2545C2212yes—
137#2538C2212yes—
138#2538C2212yes—
139#2536C2212yes—
140#2536C2212yes—
141#2514C2211yescharacteristic
142#2514C2211yescharacteristic
143#2514C2212yes—
144#2513C2211yescharacteristic
145#2513C2211yescharacteristic
146#2513C2212yes—
147#2512C2211yescharacteristic
148#2512C2211yescharacteristic
149#2512C2212yes—
150#2511C2211yescharacteristic
151#2511C2211yescharacteristic
152#2511C2212yes—
153#2510C2212yes—
154#2510C2212yes—
155#2497C2212yes—
156#2496C2212yes—
157#2495C2212yes—
158#2494C2212yes—
159#2492C2212yes—
160#2492C2212yes—
161#2492C2212yes—
162#2492C2212yes—
163#2491C2212yes—
164#2491C2212yes—
165#2490C2212yes—
166#2490C2212yes—
167#2489C2212yes—
168#2489C2212yes—
169#2489C2212yes—
170#2489C2212yes—
171#2488C2214yes—
172#2488C2214yes—
173#2481C2212yes—
174#2481C2212yes—
175#2453C2212yes—
176#2453C2212yes—
177#2451C2212yes—
178#2451C2212yes—
179#2448C2212yes—
180#2448C2211yescharacteristic
181#2448C2212yes—
182#2448C2211yescharacteristic
183#2447C2211yescharacteristic
184#2447C2211yescharacteristic
185#2446C2212yes—
186#2446C2211yescharacteristic
187#2446C2212yes—
188#2446C2211yescharacteristic
189#2445C2211yescharacteristic
190#2445C2211yescharacteristic
191#2444C2212yes—
192#2444C2212yes—
193#2443C2212yes—
194#2443C2212yes—
195#2438C2214yes—
196#2438C2214yes—
197#2436C2212yes—
198#2434C2212yes—
199#2434C2212yes—
200#2434C2212yes—
201#2434C2212yes—
202#2434C2212yes—
203#2432C2212yes—
204#2432C2212yes—
205#2432C2212yes—
206#2432C2212yes—
207#2432C2212yes—
208#2431C2212yes—
209#2430C2214yes—
210#2430C2214yes—
211#2429C2212yes—
212#2429C2212yes—
213#2429C2212yes—
214#2429C2212yes—
215#2429C2212yes—
216#2429C2212yes—
217#2427C2212yes—
218#2427C2212yes—
219#2425C2214yes—
220#2425C2214yes—
221#2423C2212yes—
222#2423C2212yes—
223#2421C2212yes—
224#2421C2212yes—
225#2413C2214yes—
226#2413C2214yes—
227#2409C2212yes—
228#2409C2212yes—
229#2407C2212yes—
230#2407C2212yes—
231#2406C2214yes—
232#2406C2214yes—
233#2401C2212yes—
234#2401C2212yes—
235#2395C2212yes—
236#2395C2212yes—
237#2365C2212yes—
238#2365C2212yes—
239#2365C2212yes—
240#2365C2212yes—
241#2365C2212yes—
242#2365C2212yes—
243#2365C2212yes—
244#2365C2212yes—
245#2341C2212yes—
246#2341C2212yes—
247#2341C2212yes—
248#2341C2212yes—
249Q8×C22⋊C4C2212yes—
250Q8×C22⋊C4C2212yes—
251Q8×C22⋊C4C2212yes—
252Q8×C22⋊C4C2212yes—
253#2337C2214yes—
254#2335C2214yes—
255#2334C2214yes—
256#2334C2214yes—
257#2327C2212yes—
258#2326C2212yes—
259#2323C2212yes—
260#2323C2212yes—
261#2322C2214yes—
262#2317C2211yescharacteristic
263#2317C2211yescharacteristic
264#2311C2211yescharacteristic
265#2311C2211yescharacteristic
266#2311C2211yescharacteristic
267#2311C2211yescharacteristic
268#2311C2214yes—
269#2310C2211yescharacteristic
270#2310C2211yescharacteristic
271C4×C4⋊Q8C2212yes—
272C4×#126C2212yes—
273C4×#126C2212yes—
274C4×#124C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×#123C2212yes—
278C4×#123C2214yes—
279C4×#123C2212yes—
280#2297C2211yescharacteristic
281#2297C2211yescharacteristic
282#2297C2211yescharacteristic
283#2297C2211yescharacteristic
284#2297C2211yescharacteristic
285#2297C2214yes—
286#2297C2211yescharacteristic
287#2296C2211yescharacteristic
288#2296C2211yescharacteristic
289C2×#391C2211yescharacteristic
290C2×#391C2211yescharacteristic
291C2×#389C2212yes—
292C2×#387C2212yes—
293C2×#387C2212yes—
294#2285C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C2×2−1+4—28no—
300C2×2−1+4—44no—
301C2×2−1+4—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2314yes—
306C22×#41C2312yes—
307C22×#41C2312yes—
308C23×Q8C2311yescharacteristic
309C23×Q8C2311yescharacteristic
310C23×Q8C2312yes—
311C23×Q8C2312yes—
312#544—44no—
313#537—44no—
314#536—28no—
315#536—44no—
316#536—44no—
317#536—44no—
318#532—44no—
319C2×C4⋊Q8—28no—
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2312yes—
322C2×C4⋊Q8C2312yes—
323C2×C4⋊Q8C2312yes—
324C2×C4⋊Q8C2312yes—
325C2×C4⋊Q8C2312yes—
326C2×C4⋊Q8C2312yes—
327C2×C4⋊Q8C2312yes—
328C2×C4⋊Q8C2312yes—
329C2×C4⋊Q8C2311yescharacteristic
330C2×C4⋊Q8C2312yes—
331C2×#127C2311yescharacteristic
332C2×#126C2312yes—
333C2×#126C2312yes—
334C2×#126C2314yes—
335C2×#125C2312yes—
336C2×#125C2312yes—
337C2×#124C2312yes—
338C2×#124C2314yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2311yescharacteristic
342C2×#124C2311yescharacteristic
343C2×#124C2312yes—
344C2×#123C2314yes—
345C2×#123C2312yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2314yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366#519—44no—
367C4×#41—44no—
368C2×C4×Q8—44no—
369C2×C4×Q8—44no—
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2311yescharacteristic
390C2×#117C2311yescharacteristic
391C2×#117C2311yescharacteristic
392C2×#117C2311yescharacteristic
393C2×#117C2311yescharacteristic
394C2×#117C2311yescharacteristic
395C2×#117C2314yes—
396C2×#117C2312yes—
397C22×C4⋊C4C2311yescharacteristic
398C22×C4⋊C4C2311yescharacteristic
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2311yescharacteristic
402C22×C4⋊C4C2312yes—
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2311yescharacteristic
405C22×C42C2311yescharacteristic
406C22×C42C2311yescharacteristic
407C22×C42C2311yescharacteristic
408C22×C42C2312yes—
409C22×C42C2312yes—
410C22×C42C2312yes—
411C22×C42C2312yes—
412#401C2314yes—
413#401C2312yes—
414#401C2312yes—
415#400C2314yes—
416#400C2314yes—
417#400C2312yes—
418#400C2314yes—
419#400C2314yes—
420#400C2312yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2312yes—
425#400C2312yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2312yes—
433#400C2312yes—
434#400C2312yes—
435#400C2312yes—
436#399C2314yes—
437#399C2312yes—
438#399C2314yes—
439#399C2312yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2312yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2312yes—
456#397C2312yes—
457#397C2314yes—
458#397C2312yes—
459#397C2312yes—
460#397C2314yes—
461#397C2314yes—
462#397C2312yes—
463#397C2314yes—
464#397C2314yes—
465#397C2312yes—
466#397C2312yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2312yes—
474#397C2312yes—
475#397C2312yes—
476#397C2312yes—
477#397C2312yes—
478#397C2312yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2312yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2312yes—
492#395C2314yes—
493#395C2314yes—
494#395C2314yes—
495#395C2314yes—
496#395C2314yes—
497#395C2314yes—
498#395C2314yes—
499#395C2314yes—
500#394C2312yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2312yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2312yes—
514#394C2312yes—
515#394C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2314yes—
519#393C2314yes—
520#393C2314yes—
521#393C2314yes—
522#392C2314yes—
523#392C2314yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#391C2312yes—
536#391C2314yes—
537#391C2314yes—
538#391C2312yes—
539#391C2312yes—
540#391C2314yes—
541#391C2314yes—
542#391C2314yes—
543#391C2314yes—
544#391C2314yes—
545#391C2314yes—
546#391C2312yes—
547#391C2311yescharacteristic
548#391C2311yescharacteristic
549#391C2311yescharacteristic
550#391C2311yescharacteristic
551#391C2312yes—
552#391C2314yes—
553#391C2312yes—
554#391C2312yes—
555#391C2312yes—
556#391C2312yes—
557#391C2311yescharacteristic
558#391C2311yescharacteristic
559#391C2311yescharacteristic
560#391C2311yescharacteristic
561#391C2311yescharacteristic
562#391C2311yescharacteristic
563#391C2311yescharacteristic
564#391C2311yescharacteristic
565#390C2312yes—
566#390C2312yes—
567#390C2314yes—
568#390C2314yes—
569#390C2312yes—
570#390C2312yes—
571#390C2314yes—
572#390C2314yes—
573#390C2314yes—
574#390C2311yescharacteristic
575#390C2314yes—
576#390C2314yes—
577#390C2311yescharacteristic
578#390C2311yescharacteristic
579#390C2311yescharacteristic
580#390C2311yescharacteristic
581#390C2311yescharacteristic
582#390C2311yescharacteristic
583#390C2311yescharacteristic
584#390C2311yescharacteristic
585#390C2311yescharacteristic
586#390C2311yescharacteristic
587#390C2311yescharacteristic
588#389C2314yes—
589#389C2314yes—
590#389C2314yes—
591#389C2314yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2314yes—
600#389C2314yes—
601#389C2314yes—
602#389C2314yes—
603#389C2314yes—
604#389C2314yes—
605#389C2314yes—
606#389C2314yes—
607#389C2314yes—
608#389C2311yescharacteristic
609#389C2311yescharacteristic
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2311yescharacteristic
613#389C2311yescharacteristic
614#389C2311yescharacteristic
615#389C2311yescharacteristic
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2312yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2312yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2312yes—
654#388C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2312yes—
676#387C2314yes—
677#387C2314yes—
678#387C2312yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2312yes—
687#387C2312yes—
688#386C2314yes—
689#386C2314yes—
690#386C2312yes—
691#386C2312yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2312yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2312yes—
701#386C2312yes—
702#386C2314yes—
703#386C2312yes—
704#386C2312yes—
705#386C2312yes—
706#386C2312yes—
707#386C2312yes—
708#386C2312yes—
709#386C2312yes—
710#386C2312yes—
711#386C2312yes—
712#385C2314yes—
713#385C2314yes—
714#385C2312yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2312yes—
730#385C2312yes—
731#385C2312yes—
732#385C2312yes—
733#385C2312yes—
734#384C2312yes—
735#384C2311yescharacteristic
736#384C2312yes—
737#384C2311yescharacteristic
738#383C2312yes—
739#383C2312yes—
740#383C2314yes—
741#382C2311yescharacteristic
742#382C2312yes—
743#382C2311yescharacteristic
744#382C2312yes—
745#382C2314yes—
746#382C2314yes—
747#382C2314yes—
748#381C2314yes—
749#381C2314yes—
750#381C2312yes—
751#381C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2314yes—
757#380C2314yes—
758#380C2312yes—
759#380C2314yes—
760#380C2312yes—
761#380C2314yes—
762#380C2312yes—
763#380C2312yes—
764#380C2314yes—
765#380C2312yes—
766#380C2314yes—
767#380C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816#376C2312yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C2×#95C2312yes—
822C2×#95C2311yescharacteristic
823C2×#95C2311yescharacteristic
824C43C2312yes—
8252−1+4—464no—
826C2×#41—28no—
827C2×#41—28no—
828C2×#41—24no—
829C2×#41—216no—
830C2×#41—24no—
831C2×#41—24no—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—24no—
837C2×#41—24no—
838C2×#41—48no—
839C2×#41—48no—
840C2×#41—44no—
841C2×#41—44no—
842C2×#41—44no—
843C2×#41—44no—
844C22×Q8—28no—
845C22×Q8—28no—
846C22×Q8—24no—
847C22×Q8—24no—
848C22×Q8—24no—
849C22×Q8—24no—
850C22×Q8—24no—
851C22×Q8—44no—
852C22×Q8—44no—
853C22×Q8—44no—
854C22×Q8—44no—
855C22×Q8#4118yes—
856C22×Q8C2412yes—
857C22×Q8C2412yes—
858C22×Q8C2411yescharacteristic
859C22×Q8C2411yescharacteristic
860C22×Q8C2411yescharacteristic
861C22×Q8C2412yes—
862C22×Q8C2412yes—
863C22×Q8C2414yes—
864C22×Q8C2414yes—
865C22×D4C2412yes—
866C22×D4C2411yescharacteristic
867C22×D4C2412yes—
868C22×D4C2412yes—
869C22×D4C2411yescharacteristic
870C22×D4C2411yescharacteristic
871C22×D4C2412yes—
872C22×D4C2414yes—
873C22×D4C2412yes—
874C22×D4C2414yes—
875C23×C4C2411yescharacteristic
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2412yes—
880C23×C4C2411yescharacteristic
881C23×C4C2411yescharacteristic
882C23×C4C2412yes—
883C23×C4C2411yescharacteristic
884C23×C4C2411yescharacteristic
885C23×C4C2412yes—
886C23×C4C2411yescharacteristic
887C23×C4C2412yes—
888C23×C4C2412yes—
889C23×C4C2414yes—
890C23×C4C2414yes—
891C23×C4C2412yes—
892C23×C4C2411yescharacteristic
893C4⋊Q8—28no—
894C4⋊Q8—28no—
895C4⋊Q8—28no—
896C4⋊Q8—28no—
897C4⋊Q8—28no—
898C4⋊Q8—44no—
899C4⋊Q8—44no—
900C4⋊Q8—42no—
901C4⋊Q8—44no—
902C4⋊Q8—44no—
903C4⋊Q8—44no—
904#127—42no—
905#126—28no—
906#126—48no—
907#126—44no—
908#125—44no—
909#125—44no—
910#124—28no—
911#124—48no—
912#124—42no—
913#124—42no—
914#124—44no—
915#124—44no—
916#124—44no—
917#123—216no—
918#123—28no—
919#123—44no—
920#123—48no—
921#123—48no—
922#123—48no—
923C22⋊Q8—28no—
924C22⋊Q8—28no—
925C22⋊Q8—48no—
926C22⋊Q8—44no—
927C22⋊Q8—44no—
928C22⋊Q8—44no—
929C22⋊Q8—44no—
930C22⋊Q8—44no—
931C22⋊Q8—44no—
932C22⋊Q8—44no—
933C22⋊Q8—44no—
934#121—44no—
935#121—44no—
936#121—44no—
937#121—44no—
938#121—48no—
939C4×Q8—44no—
940C4×Q8—44no—
941C4×Q8—44no—
942C4×Q8—44no—
943C4×Q8—44no—
944C4×Q8—44no—
945C4×Q8—44no—
946C4×Q8—44no—
947C4×Q8—42no—
948C4×Q8—42no—
949C4×Q8—44no—
950C4×Q8—44no—
951C4×Q8—44no—
952C4×Q8—44no—
953C4×D4—42no—
954C4×D4—42no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959#117—24no—
960#117—24no—
961#117—24no—
962#117—24no—
963#117—24no—
964#117—44no—
965#117—48no—
966C2×C4⋊C4—28no—
967C2×C4⋊C4—28no—
968C2×C4⋊C4—24no—
969C2×C4⋊C4—24no—
970C2×C4⋊C4—24no—
971C2×C4⋊C4—42no—
972C2×C4⋊C4—44no—
973C2×C4⋊C4—44no—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C42—24no—
1092C2×C42—24no—
1093C2×C42—24no—
1094C2×C42—44no—
1095C2×C42—44no—
1096C2×C42—44no—
1097C2×C42—44no—
1098C2×C42C2411yescharacteristic
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2414yes—
1112C2×C42C2412yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2414yes—
1118C2×C42C2414yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2414yes—
1122C2×C42C2414yes—
1123C2×C42C2414yes—
1124C2×C42C2414yes—
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2414yes—
1129#95C2414yes—
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2414yes—
1135#95C2414yes—
1136#95C2411yescharacteristic
1137#95C2411yescharacteristic
1138#95C2414yes—
1139#95C2414yes—
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207C24C2512yes—
1208C24C2512yes—
1209C24C2512yes—
1210C24C2511yescharacteristic
1211#41—464no—
1212#41—432no—
1213#41—432no—
1214#41—416no—
1215#41—416no—
1216#41—416no—
1217C2×Q8—232no—
1218C2×Q8—24no—
1219C2×Q8—24no—
1220C2×Q8—22no—
1221C2×Q8—28no—
1222C2×Q8—22no—
1223C2×Q8—22no—
1224C2×Q8—24no—
1225C2×Q8—24no—
1226C2×Q8—24no—
1227C2×Q8—24no—
1228C2×Q8—24no—
1229C2×Q8—24no—
1230C2×Q8—22no—
1231C2×Q8—24no—
1232C2×Q8—22no—
1233C2×Q8—22no—
1234C2×Q8—24no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—22no—
1238C2×Q8—44no—
1239C2×Q8—44no—
1240C2×Q8—44no—
1241C2×Q8—44no—
1242C2×Q8—44no—
1243C2×Q8—432no—
1244C2×Q8—432no—
1245C2×Q8—416no—
1246C2×Q8C2×#4118yes—
1247C2×Q8C2×#4118yes—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—22no—
1258C2×D4—28no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—24no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C22×C4—22no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—24no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—24no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—24no—
1293C22×C4—24no—
1294C22×C4—28no—
1295C22×C4—28no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—24no—
1307C22×C4—42no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—42no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—41no—
1321C22×C4—41no—
1322C22×C4—42no—
1323C22×C4—42no—
1324C22×C4—41no—
1325C22×C4—42no—
1326C22×C4—41no—
1327C22×C4—42no—
1328C22×C4C2×#4118yes—
1329C22×C4C2×#4114yes—
1330C22×C4H(5,𝔽2)14yes—
1331C22×C4H(5,𝔽2)14yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2511yescharacteristic
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2514yes—
1343C22×C4C2511yescharacteristic
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2511yescharacteristic
1350C22×C4C2514yes—
1351C22×C4C2511yescharacteristic
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2514yes—
1355C22×C4C2512yes—
1356C22×C4C2514yes—
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C22×C4C2511yescharacteristic
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C4⋊C4—28no—
1364C4⋊C4—28no—
1365C4⋊C4—28no—
1366C4⋊C4—28no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—28no—
1370C4⋊C4—28no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—24no—
1392C4⋊C4—41no—
1393C4⋊C4—41no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—44no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—44no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—42no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—42no—
1426C4⋊C42−1+414yescomplemented
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—28no—
1433C22⋊C4—28no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—44no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C42—22no—
1481C42—22no—
1482C42—22no—
1483C42—22no—
1484C42—24no—
1485C42—22no—
1486C42—22no—
1487C42—22no—
1488C42—22no—
1489C42—22no—
1490C42—22no—
1491C42—22no—
1492C42—22no—
1493C42—24no—
1494C42—24no—
1495C42—24no—
1496C42—24no—
1497C42—24no—
1498C42—28no—
1499C42—44no—
1500C42—42no—
1501C42—42no—
1502C42—44no—
1503C42—44no—
1504C42—44no—
1505C42—44no—
1506C42—42no—
1507C42—42no—
1508C42—44no—
1509C42—44no—
1510C42—42no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—22no—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—22no—
1525C23—22no—
1526C23—22no—
1527C23—22no—
1528C23—22no—
1529C23—22no—
1530C23—22no—
1531C23—22no—
1532C23—22no—
1533C23—22no—
1534C23—22no—
1535C23—22no—
1536C23C22×#4112yes—
1537C23C2×H(5,𝔽2)12yes—
1538C23C2×H(5,𝔽2)12yes—
1539C23C2611yescharacteristic
1540Q8—216no—
1541Q8—216no—
1542Q8—416no—
1543Q8—48no—
1544Q8—48no—
1545Q8—44no—
1546Q8—44no—
1547Q8—44no—
1548Q8—164no—
1549D4—416no—
1550D4—48no—
1551D4—48no—
1552D4—48no—
1553D4—44no—
1554D4—44no—
1555D4—44no—
1556D4—84no—
1557D4—84no—
1558D4—164no—
1559C2×C4—28no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—24no—
1565C2×C4—24no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—216no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—24no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—24no—
1594C2×C4—22no—
1595C2×C4—24no—
1596C2×C4—24no—
1597C2×C4—24no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—24no—
1611C2×C4—24no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—24no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—24no—
1642C2×C4—21no—
1643C2×C4—44no—
1644C2×C4—44no—
1645C2×C4—416no—
1646C2×C4—416no—
1647C2×C4—44no—
1648C2×C4—48no—
1649C2×C4—48no—
1650C2×C4—48no—
1651C2×C4—48no—
1652C2×C4—48no—
1653C2×C4—84no—
1654C2×C4—82no—
1655C2×C4—82no—
1656C2×C4—84no—
1657C2×C4—84no—
1658C2×C4#538116yes—
1659C2×C4C22×#4118yes—
1660C2×C4C22×#4112yes—
1661C2×C4C22×#4112yes—
1662C2×C4C2×H(5,𝔽2)12yes—
1663C2×C4C2×H(5,𝔽2)12yes—
1664C2×C4C2×H(5,𝔽2)12yes—
1665C2×C4C2×H(5,𝔽2)12yes—
1666C2×C4C2×2−1+412yes—
1667C2×C4C2×2−1+412yes—
1668C2×C4C2×2−1+412yes—
1669C2×C4#58512yes—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—42no—
1686C22—42no—
1687C22—42no—
1688C22—42no—
1689C22—42no—
1690C22—42no—
1691C22—42no—
1692C22—42no—
1693C22—42no—
1694C22—42no—
1695C22—42no—
1696C22—42no—
1697C22C2×#53814yes—
1698C22C23×#4111yescharacteristic
1699C22C22×H(5,𝔽2)11yescharacteristic
1700C22C22×H(5,𝔽2)11yescharacteristic
1701C22C22×2−1+411yescharacteristic
1702C22C2×#58511yescharacteristic
1703C222−1+611yescharacteristic
1704C222−1+611yescharacteristic
1705C4—22no—
1706C4—22no—
1707C4—28no—
1708C4—22no—
1709C4—22no—
1710C4—42no—
1711C4—42no—
1712C4—41no—
1713C4—41no—
1714C4—44no—
1715C4—41no—
1716C4—41no—
1717C4—42no—
1718C4—41no—
1719C4—41no—
1720C4—42no—
1721C4—42no—
1722C4—42no—
1723C4—44no—
1724C4—42no—
1725C4—44no—
1726C4—42no—
1727C4—42no—
1728C4—41no—
1729C4—41no—
1730C4—42no—
1731C4—42no—
1732C4—42no—
1733C4—42no—
1734C4C2×#53814yes—
1735C4C2×#53814yes—
1736C2—24no—
1737C2—82no—
1738C2—82no—
1739C2—82no—
1740C2C22×#53811yescharacteristic
1741C2#6278811yescharacteristic
1742C2#6285011yescharacteristic
1743C2#6292511yescharacteristic
1744C2#6293111yescharacteristic
1745C2#6294211yescharacteristic
1746C2#6294611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35660C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42866C2semidirect
2. #42860C2semidirect
3. #42857C2semidirect
4. #42853C2semidirect
5. #42842C2semidirect
6. #42835C2semidirect
7. #42834C2semidirect
8. #42828C2semidirect
9. #40225C2semidirect
10. #40218C2semidirect
11. #40100C2semidirect
12. #40098C2semidirect
13. #39663C2semidirect
14. #39659C2semidirect
15. #39227C2semidirect
16. #39215C2semidirect
17. #37497C2semidirect
18. #36997C2semidirect
19. #36823C2semidirect
20. #35668C2semidirect
21. #35667C2semidirect
22. #35666C2semidirect
24. #35312C2semidirect
25. #35308C2semidirect
26. #35182C2semidirect
27. #35178C2semidirect
28. #35160C2semidirect
29. #35158C2semidirect
30. #35058C2semidirect
31. #34816C2semidirect
32. #34744C2semidirect
33. #34257C2semidirect
34. C2×#2365C2semidirect
35. C4×#536C2semidirect
1426. C4⋊C42−1+4semidirect

Maximal subgroups

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

subgroupindex
#428662
#428602
#428572
#428532
#428422
#428352
#428342
#428282
#402252
#402182
#401002
#400982
#396632
#396592
#392272
#392152
#374972
#369972
#368232
#356682
#356672
#356662
#356602
#353122
#353082
#351822
#351782
#351602
#351582
#350582
#348162
#347442
#342572
C2×#23652
C4×#5362