Finite Group Databasebeta

← #7986746

Subgroups — #7986746

Order 512.

5083 conjugacy classes of subgroups.

The subgroup lattice has 1691 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59679C211yesmaximal, characteristic, complemented
2#59646C211yesmaximal, characteristic, complemented
3#59640C211yesmaximal, characteristic, complemented
4#59153C212yesmaximal, complemented
5#59084C212yesmaximal, complemented
6#50729C214yesmaximal, complemented
7#48404C214yesmaximal, complemented
8#46062C212yesmaximal, complemented
9#46019C212yesmaximal, complemented
10#45037C212yesmaximal, complemented
11#44896C212yesmaximal, complemented
12#44217C214yesmaximal, complemented
13#42799C212yesmaximal, complemented
14#42585C212yesmaximal, complemented
15#42043C214yesmaximal, complemented
16#40151C212yesmaximal, complemented
17#40121C212yesmaximal, complemented
18#39877C212yesmaximal, complemented
19#39789C212yesmaximal, complemented
20#39505C211yesmaximal, characteristic, complemented
21#39194C211yesmaximal, characteristic, complemented
22#37794C212yesmaximal, complemented
23#36565C211yesmaximal, characteristic, complemented
24#36559C211yesmaximal, characteristic, complemented
25Q8×C4⋊Q8C211yesmaximal, characteristic, complemented
26#36503C212yesmaximal, complemented
27#36477C211yesmaximal, characteristic, complemented
28#36132C211yesmaximal, characteristic, complemented
29#35298C212yesmaximal, complemented
30#35198C211yesmaximal, characteristic, complemented
31#35198C211yesmaximal, characteristic, complemented
32#34925C211yesmaximal, characteristic
33#34893C211yesmaximal, characteristic, complemented
34#34422C212yesmaximal, complemented
35C4×#556C211yesmaximal, characteristic, complemented
36C2×Q82C2212yes—
37C2×#556C2211yescharacteristic
38C2×#554C2212yes—
39C2×#542C2212yes—
40C2×#542C2212yes—
41C2×#533C2212yes—
42C2×#532C2212yes—
43C2×#532C2212yes—
44#2868C2211yescharacteristic
45#2868C2212yes—
46#2862C2212yes—
47#2860C2212yes—
48#2860C2212yes—
49#2859C2211yescharacteristic
50#2859C2211yescharacteristic
51#2858C2212yes—
52#2858C2212yes—
53#2855C2212yes—
54#2851C2212yes—
55#2832C2214yes—
56#2823C2214yes—
57#2803C2214yes—
58#2803C2214yes—
59#2801C2214yes—
60#2800C2214yes—
61#2800C2214yes—
62#2800C2214yes—
63#2795C2214yes—
64#2793C2214yes—
65#2759C2214yes—
66#2745C2214yes—
67#2737C2214yes—
68#2731C2214yes—
69#2731C2214yes—
70#2731C2214yes—
71#2731C2214yes—
72#2729C2214yes—
73#2718C2214yes—
74#2716C2214yes—
75#2716C2214yes—
76#2715C2214yes—
77#2712C2214yes—
78#2705C2214yes—
79#2702C2214yes—
80#2701C2214yes—
81#2700C2214yes—
82#2700C2214yes—
83#2692C2214yes—
84#2686C2214yes—
85#2683C2214yes—
86#2681C2214yes—
87#2674C2214yes—
88#2674C2214yes—
89#2672C2214yes—
90#2662C2214yes—
91#2662C2214yes—
92#2662C2214yes—
93#2662C2214yes—
94#2638C2214yes—
95#2624C2212yes—
96#2620C2214yes—
97#2620C2214yes—
98#2620C2212yes—
99#2608C2214yes—
100#2602C2214yes—
101#2601C2214yes—
102#2594C2214yes—
103#2592C2212yes—
104#2589C2212yes—
105#2587C2212yes—
106#2587C2214yes—
107#2586C2214yes—
108#2586C2214yes—
109#2584C2211yescharacteristic
110#2580C2211yescharacteristic
111#2570C2212yes—
112#2567C2214yes—
113#2567C2212yes—
114#2566C2212yes—
115#2566C2211yescharacteristic
116#2566C2212yes—
117#2566C2212yes—
118#2566C2212yes—
119#2563C2212yes—
120#2555C2214yes—
121#2551C2212yes—
122#2551C2211yescharacteristic
123#2551C2211yescharacteristic
124#2551C2214yes—
125#2551C2211yescharacteristic
126#2551C2212yes—
127#2551C2212yes—
128#2550C2212yes—
129#2550C2211yescharacteristic
130#2550C2212yes—
131#2548C2211yescharacteristic
132#2548C2211yescharacteristic
133#2548C2212yes—
134#2548C2212yes—
135#2545C2214yes—
136#2545C2212yes—
137#2545C2214yes—
138#2544C2212yes—
139#2541C2211yescharacteristic
140#2541C2211yescharacteristic
141#2538C2212yes—
142#2538C2211yescharacteristic
143#2538C2212yes—
144#2538C2211yescharacteristic
145#2537C2211yescharacteristic
146#2527C2214yes—
147#2522C2212yes—
148#2521C2214yes—
149#2513C2212yes—
150#2513C2212yes—
151#2512C2212yes—
152#2512C2212yes—
153#2509C2211yescharacteristic
154#2507C2211yescharacteristic
155#2500C2212yes—
156#2500C2212yes—
157#2500C2212yes—
158#2500C2212yes—
159#2497C2212yes—
160#2497C2212yes—
161#2494C2212yes—
162#2494C2212yes—
163#2492C2212yes—
164#2491C2214yes—
165#2491C2212yes—
166#2491C2212yes—
167#2491C2212yes—
168#2491C2212yes—
169#2491C2212yes—
170#2491C2212yes—
171#2491C2212yes—
172#2490C2212yes—
173#2490C2212yes—
174#2474C2214yes—
175#2469C2214yes—
176#2466C2214yes—
177#2466C2214yes—
178#2465C2214yes—
179#2465C2214yes—
180#2465C2212yes—
181#2465C2214yes—
182#2465C2214yes—
183#2461C2214yes—
184#2461C2214yes—
185#2459C2214yes—
186#2458C2214yes—
187#2454C2211yescharacteristic
188#2452C2214yes—
189#2452C2212yes—
190#2452C2212yes—
191#2452C2212yes—
192#2452C2212yes—
193#2452C2212yes—
194#2452C2212yes—
195#2452C2211yescharacteristic
196#2452C2212yes—
197#2452C2212yes—
198#2451C2212yes—
199#2451C2212yes—
200#2449C2214yes—
201#2447C2212yes—
202#2445C2212yes—
203#2445C2212yes—
204#2445C2212yes—
205#2441C2212yes—
206#2439C2212yes—
207#2439C2212yes—
208#2439C2212yes—
209#2432C2214yes—
210#2432C2214yes—
211#2432C2214yes—
212#2429C2214yes—
213#2429C2212yes—
214#2428C2212yes—
215#2428C2212yes—
216#2426C2214yes—
217#2426C2212yes—
218#2426C2212yes—
219#2426C2212yes—
220#2422C2212yes—
221#2420C2212yes—
222#2406C2214yes—
223#2396C2212yes—
224#2396C2212yes—
225#2388C2214yes—
226#2383C2214yes—
227#2378C2214yes—
228#2373C2212yes—
229#2373C2214yes—
230#2373C2212yes—
231#2370C2212yes—
232#2369C2212yes—
233#2369C2212yes—
234#2367C2212yes—
235#2367C2212yes—
236#2367C2211yescharacteristic
237#2367C2211yescharacteristic
238#2367C2214yes—
239#2365C2212yes—
240#2365C2212yes—
241#2365C2211yescharacteristic
242#2363C2212yes—
243#2363C2212yes—
244#2362C2212yes—
245#2360C2214yes—
246#2357C2212yes—
247#2357C2212yes—
248#2357C2212yes—
249#2356C2211yescharacteristic
250#2356C2211yescharacteristic
251#2355C2211yescharacteristic
252#2355C2211yescharacteristic
253#2355C2211yescharacteristic
254#2354C2211yescharacteristic
255#2354C2211yescharacteristic
256#2354C2211yescharacteristic
257Q8×C4⋊C4C2211yescharacteristic
258Q8×C4⋊C4C2212yes—
259Q8×C4⋊C4C2211yescharacteristic
260D4×C4⋊C4C2212yes—
261D4×C4⋊C4C2212yes—
262#2347C2212yes—
263#2337C2214yes—
264#2335C2214yes—
265#2326C2214yes—
266#2326C2214yes—
267#2324C2212yes—
268#2324C2212yes—
269#2323C2212yes—
270#2322C2214yes—
271#2314C2212yes—
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2212yes—
275C4×#127C2211yescharacteristic
276C4×#127C2211yescharacteristic
277C4×#127C2211yescharacteristic
278C4×#125C2211yescharacteristic
279C4×#125C2211yescharacteristic
280C4×#125C2212yes—
281C4×#126C2212yes—
282C4×#126C2212yes—
283C4×#124C2211yescharacteristic
284C4×#124C2211yescharacteristic
285C4×C22⋊Q8C2212yes—
286C4×C22⋊Q8C2212yes—
287C4×C22⋊Q8C2212yes—
288C4×#121C2212yes—
289C4×#121C2212yes—
290#2296C2212yes—
291#2293C2211yescharacteristic
292#2293C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2212yes—
299C22×#41C2314yes—
300Q82—48no—
301#556—28no—
302#554—48no—
303#542—216no—
304#542—48no—
305#533—48no—
306#532—48no—
307#532—48no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2314yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2314yes—
320C2×C4⋊Q8C2314yes—
321C2×C4⋊Q8C2314yes—
322C2×C4⋊Q8C2312yes—
323C2×#127C2311yescharacteristic
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#126C2312yes—
327C2×#126C2312yes—
328C2×#126C2314yes—
329C2×#126C2314yes—
330C2×#126C2314yes—
331C2×#125C2311yescharacteristic
332C2×#125C2311yescharacteristic
333C2×#125C2312yes—
334C2×#125C2312yes—
335C2×#124C2314yes—
336C2×#124C2311yescharacteristic
337C2×#124C2312yes—
338C2×#124C2311yescharacteristic
339C2×#124C2314yes—
340C2×#124C2312yes—
341C2×#124C2314yes—
342C2×#124C2314yes—
343C2×#124C2314yes—
344C2×#124C2314yes—
345C2×#124C2314yes—
346C2×#124C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2314yes—
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2314yes—
360C2×C22⋊Q8C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2314yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2314yes—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2314yes—
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2314yes—
383C2×C4×Q8C2311yescharacteristic
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2312yes—
407C22×C4⋊C4C2314yes—
408C22×C42C2312yes—
409C22×C42C2312yes—
410#401C2314yes—
411#400C2314yes—
412#400C2312yes—
413#400C2312yes—
414#400C2314yes—
415#399C2312yes—
416#399C2312yes—
417#399C2314yes—
418#398C2312yes—
419#398C2314yes—
420#398C2314yes—
421#398C2312yes—
422#398C2314yes—
423#398C2312yes—
424#398C2312yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2312yes—
438#396C2312yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2312yes—
451#396C2312yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2312yes—
462#395C2314yes—
463#395C2314yes—
464#395C2314yes—
465#395C2312yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2314yes—
494#393C2312yes—
495#393C2312yes—
496#393C2314yes—
497#393C2314yes—
498#393C2314yes—
499#393C2314yes—
500#393C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#391C2312yes—
505#391C2314yes—
506#391C2311yescharacteristic
507#391C2311yescharacteristic
508#391C2314yes—
509#391C2311yescharacteristic
510#391C2314yes—
511#391C2314yes—
512#391C2314yes—
513#391C2314yes—
514#391C2314yes—
515#391C2312yes—
516#391C2311yescharacteristic
517#391C2312yes—
518#391C2314yes—
519#391C2312yes—
520#391C2312yes—
521#391C2314yes—
522#391C2314yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2311yescharacteristic
533#390C2311yescharacteristic
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2314yes—
539#390C2314yes—
540#390C2312yes—
541#390C2312yes—
542#390C2311yescharacteristic
543#390C2311yescharacteristic
544#390C2314yes—
545#390C2312yes—
546#390C2314yes—
547#390C2314yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2311yescharacteristic
553#390C2311yescharacteristic
554#390C2312yes—
555#390C2314yes—
556#390C2314yes—
557#390C2314yes—
558#389C2312yes—
559#389C2311yescharacteristic
560#389C2311yescharacteristic
561#389C2312yes—
562#389C2311yescharacteristic
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2312yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2314yes—
572#389C2312yes—
573#389C2314yes—
574#389C2314yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2314yes—
579#389C2312yes—
580#389C2312yes—
581#389C2314yes—
582#389C2312yes—
583#389C2314yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2312yes—
590#389C2312yes—
591#389C2314yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2314yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2312yes—
603#389C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2312yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2312yes—
640#388C2314yes—
641#388C2312yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2312yes—
646#388C2312yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2312yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2312yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2312yes—
677#387C2314yes—
678#387C2314yes—
679#387C2312yes—
680#387C2312yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#385C2314yes—
689#385C2312yes—
690#385C2312yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2312yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2312yes—
703#385C2312yes—
704#385C2312yes—
705#385C2314yes—
706#385C2314yes—
707#385C2312yes—
708#385C2312yes—
709#384C2311yescharacteristic
710#384C2311yescharacteristic
711#384C2311yescharacteristic
712#384C2312yes—
713#384C2311yescharacteristic
714#384C2311yescharacteristic
715#384C2312yes—
716#384C2312yes—
717#384C2314yes—
718#384C2312yes—
719#384C2314yes—
720#384C2312yes—
721#383C2312yes—
722#383C2312yes—
723#382C2312yes—
724#382C2311yescharacteristic
725#382C2311yescharacteristic
726#382C2312yes—
727#382C2312yes—
728#382C2312yes—
729#382C2311yescharacteristic
730#382C2311yescharacteristic
731#381C2314yes—
732#381C2314yes—
733#381C2314yes—
734#380C2314yes—
735#380C2314yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811#376C2312yes—
812#376C2312yes—
813C43C2312yes—
814C43C2312yes—
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C2×#41—48no—
819C2×#41—48no—
820C2×#41—84no—
821C22×Q8C2411yescharacteristic
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2411yescharacteristic
825C22×Q8C2414yes—
826C22×Q8C2414yes—
827C22×Q8C2414yes—
828C22×Q8C2414yes—
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C22×D4C2414yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2414yes—
844C23×C4C2414yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2414yes—
848C4⋊Q8—24no—
849C4⋊Q8—28no—
850C4⋊Q8—28no—
851C4⋊Q8—28no—
852C4⋊Q8—24no—
853C4⋊Q8—44no—
854C4⋊Q8—44no—
855C4⋊Q8—44no—
856C4⋊Q8—44no—
857C4⋊Q8—44no—
858C4⋊Q8—48no—
859C4⋊Q8—48no—
860C4⋊Q8—48no—
861C4⋊Q8—82no—
862C4⋊Q8—84no—
863#127—24no—
864#127—44no—
865#127—44no—
866#126—28no—
867#126—216no—
868#126—28no—
869#126—48no—
870#126—84no—
871#125—24no—
872#125—24no—
873#125—28no—
874#125—44no—
875#124—28no—
876#124—24no—
877#124—216no—
878#124—24no—
879#124—48no—
880#124—48no—
881#124—44no—
882#124—48no—
883#124—48no—
884#124—48no—
885#124—84no—
886#124—84no—
887#123—216no—
888#123—48no—
889#123—84no—
890C22⋊Q8—28no—
891C22⋊Q8—216no—
892C22⋊Q8—28no—
893C22⋊Q8—48no—
894C22⋊Q8—44no—
895C22⋊Q8—48no—
896C22⋊Q8—48no—
897C22⋊Q8—48no—
898C22⋊Q8—48no—
899C22⋊Q8—48no—
900C22⋊Q8—44no—
901#121—28no—
902#121—28no—
903#121—28no—
904#121—48no—
905#121—48no—
906#121—44no—
907#121—44no—
908#121—44no—
909C4×Q8—24no—
910C4×Q8—24no—
911C4×Q8—24no—
912C4×Q8—24no—
913C4×Q8—24no—
914C4×Q8—24no—
915C4×Q8—24no—
916C4×Q8—44no—
917C4×Q8—42no—
918C4×Q8—48no—
919C4×Q8—48no—
920C4×Q8—48no—
921C4×Q8—44no—
922C4×Q8—44no—
923C4×Q8#4118yescomplemented
924C4×D4—24no—
925C4×D4—24no—
926C4×D4—24no—
927C4×D4—28no—
928C4×D4—24no—
929C4×D4—28no—
930C4×D4—24no—
931C4×D4—24no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—48no—
938C4×D4—48no—
939C4×D4—82no—
940C4×D4—82no—
941#117—28no—
942#117—28no—
943#117—44no—
944#117—44no—
945#117—44no—
946#117—44no—
947C2×C4⋊C4—48no—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C42—28no—
1078C2×C42—44no—
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2414yes—
1103C2×C42C2414yes—
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2414yes—
1109C2×C42C2414yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2414yes—
1115C2×C42C2414yes—
1116C2×C42C2412yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122#95C2411yescharacteristic
1123#95C2411yescharacteristic
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2411yescharacteristic
1152#95C2412yes—
1153#95C2412yes—
1154#95C2411yescharacteristic
1155#95C2411yescharacteristic
1156#95C2412yes—
1157#95C2412yes—
1158#95C2411yescharacteristic
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186C24C2512yes—
1187C24C2514yes—
1188C24C2512yes—
1189#41—832no—
1190C2×Q8—22no—
1191C2×Q8—22no—
1192C2×Q8—28no—
1193C2×Q8—22no—
1194C2×Q8—22no—
1195C2×Q8—22no—
1196C2×Q8—28no—
1197C2×Q8—28no—
1198C2×Q8—22no—
1199C2×Q8—22no—
1200C2×Q8—24no—
1201C2×Q8—24no—
1202C2×Q8—42no—
1203C2×Q8—41no—
1204C2×Q8—44no—
1205C2×Q8—44no—
1206C2×Q8—44no—
1207C2×Q8—44no—
1208C2×Q8—44no—
1209C2×Q8—44no—
1210C2×Q8—44no—
1211C2×Q8—44no—
1212C2×Q8—44no—
1213C2×Q8C2×#4114yes—
1214C2×D4—24no—
1215C2×D4—22no—
1216C2×D4—28no—
1217C2×D4—24no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—24no—
1221C2×D4—28no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—28no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—28no—
1256C22×C4—28no—
1257C22×C4—24no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—42no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2514yes—
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2514yes—
1289C22×C4C2514yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2512yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—28no—
1312C4⋊C4—28no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—28no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—24no—
1322C4⋊C4—28no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—28no—
1332C4⋊C4—28no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—22no—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—41no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4C2×#4114yes—
1376C4⋊C4C2×#4118yes—
1377C4⋊C4H(5,𝔽2)14yes—
1378C4⋊C42−1+414yes—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—28no—
1384C22⋊C4—24no—
1385C22⋊C4—28no—
1386C22⋊C4—28no—
1387C22⋊C4—28no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—28no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—28no—
1394C22⋊C4—28no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—28no—
1399C22⋊C4—24no—
1400C22⋊C4—28no—
1401C22⋊C4—24no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—44no—
1432C42—24no—
1433C42—24no—
1434C42—22no—
1435C42—22no—
1436C42—24no—
1437C42—24no—
1438C42—24no—
1439C42—22no—
1440C42—24no—
1441C42—22no—
1442C42—24no—
1443C42—22no—
1444C42—22no—
1445C42—24no—
1446C42—22no—
1447C42—24no—
1448C42—22no—
1449C42—24no—
1450C42—24no—
1451C42—22no—
1452C42—22no—
1453C42—24no—
1454C42—22no—
1455C42—42no—
1456C42—42no—
1457C42—42no—
1458C42—44no—
1459C42—44no—
1460C42—41no—
1461C42—41no—
1462C42—41no—
1463C42—41no—
1464C42—44no—
1465C42—44no—
1466C42—44no—
1467C42—42no—
1468C42—44no—
1469C42—41no—
1470C42—42no—
1471C42C2×#4114yes—
1472C42C2×#4118yes—
1473C42H(5,𝔽2)14yes—
1474C422−1+414yes—
1475C23—22no—
1476C23—22no—
1477C23—24no—
1478C23—24no—
1479C23—24no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—24no—
1488C23—22no—
1489C23—24no—
1490C23—22no—
1491C23—22no—
1492C23—24no—
1493C23—24no—
1494C23—22no—
1495C23—22no—
1496C23C2611yescharacteristic
1497Q8—28no—
1498Q8—48no—
1499Q8—44no—
1500Q8—44no—
1501Q8—88no—
1502Q8—88no—
1503Q8—88no—
1504Q8—164no—
1505D4—48no—
1506D4—48no—
1507D4—44no—
1508D4—48no—
1509D4—44no—
1510D4—88no—
1511D4—88no—
1512D4—88no—
1513D4—88no—
1514D4—88no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—24no—
1560C2×C4—24no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—24no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—24no—
1592C2×C4—22no—
1593C2×C4—24no—
1594C2×C4—22no—
1595C2×C4—48no—
1596C2×C4—48no—
1597C2×C4—48no—
1598C2×C4—48no—
1599C2×C4—48no—
1600C2×C4—84no—
1601C2×C4—88no—
1602C2×C4—88no—
1603C2×C4—164no—
1604C2×C4C22×#4114yes—
1605C2×C4C22×#4112yes—
1606C2×C4C22×#4114yes—
1607C2×C4C22×#4112yes—
1608C2×C4C22×#4112yes—
1609C2×C4C2×H(5,𝔽2)12yes—
1610C2×C4C2×H(5,𝔽2)12yes—
1611C2×C4C2×H(5,𝔽2)14yes—
1612C2×C4C2×H(5,𝔽2)12yes—
1613C2×C4C2×H(5,𝔽2)12yes—
1614C2×C4C2×2−1+412yes—
1615C2×C4C2×2−1+414yes—
1616C2×C4C2×2−1+412yes—
1617C2×C4C2×2−1+412yes—
1618C2×C4C2×2−1+412yes—
1619C2×C4#58512yes—
1620C22—42no—
1621C22—42no—
1622C22—44no—
1623C22—42no—
1624C22—44no—
1625C22—42no—
1626C22—42no—
1627C22—42no—
1628C22—44no—
1629C22—42no—
1630C22—42no—
1631C22—44no—
1632C22—42no—
1633C22—44no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—44no—
1638C22—44no—
1639C22—42no—
1640C22—42no—
1641C22C23×#4111yescharacteristic
1642C22C22×H(5,𝔽2)11yescharacteristic
1643C22C22×H(5,𝔽2)11yescharacteristic
1644C22C22×2−1+411yescharacteristic
1645C22C22×2−1+411yescharacteristic
1646C22C2×#58511yescharacteristic
1647C22H(7,𝔽2)11yescharacteristic
1648C4—22no—
1649C4—24no—
1650C4—22no—
1651C4—24no—
1652C4—22no—
1653C4—24no—
1654C4—22no—
1655C4—22no—
1656C4—24no—
1657C4—22no—
1658C4—41no—
1659C4—42no—
1660C4—41no—
1661C4—42no—
1662C4—41no—
1663C4—41no—
1664C4—42no—
1665C4—42no—
1666C4—42no—
1667C4—44no—
1668C4—41no—
1669C4—42no—
1670C4—42no—
1671C4—44no—
1672C4—41no—
1673C4—44no—
1674C4—42no—
1675C4—41no—
1676C4—42no—
1677C4—42no—
1678C4#351114yes—
1679C4#355014yes—
1680C2—82no—
1681C2—82no—
1682C2—84no—
1683C2C2×#355011yescharacteristic
1684C2C2×#351111yescharacteristic
1685C2#6280011yescharacteristic
1686C2#6291211yescharacteristic
1687C2#6292611yescharacteristic
1688C2#6299911yescharacteristic
1689C2#6301511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34925C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59679C2semidirect
2. #59646C2semidirect
3. #59640C2semidirect
4. #59153C2semidirect
5. #59084C2semidirect
6. #50729C2semidirect
7. #48404C2semidirect
8. #46062C2semidirect
9. #46019C2semidirect
10. #45037C2semidirect
11. #44896C2semidirect
12. #44217C2semidirect
13. #42799C2semidirect
14. #42585C2semidirect
15. #42043C2semidirect
16. #40151C2semidirect
17. #40121C2semidirect
18. #39877C2semidirect
19. #39789C2semidirect
20. #39505C2semidirect
21. #39194C2semidirect
22. #37794C2semidirect
23. #36565C2semidirect
24. #36559C2semidirect
25. Q8×C4⋊Q8C2semidirect
26. #36503C2semidirect
27. #36477C2semidirect
28. #36132C2semidirect
29. #35298C2semidirect
30. #35198C2semidirect
31. #35198C2semidirect
33. #34893C2semidirect
34. #34422C2semidirect
35. C4×#556C2semidirect
923. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#596792
#596462
#596402
#591532
#590842
#507292
#484042
#460622
#460192
#450372
#448962
#442172
#427992
#425852
#420432
#401512
#401212
#398772
#397892
#395052
#391942
#377942
#365652
#365592
Q8×C4⋊Q82
#365032
#364772
#361322
#352982
#351982
#349252
#348932
#344222
C4×#5562