Finite Group Databasebeta

← #7690110

Subgroups — #7690110

Order 512.

5142 conjugacy classes of subgroups.

The subgroup lattice has 1706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59995C214yesmaximal, complemented
2#59765C212yesmaximal, complemented
3#59642C211yesmaximal, characteristic, complemented
4#59503C212yesmaximal, complemented
5#59478C212yesmaximal, complemented
6#59322C211yesmaximal, characteristic, complemented
7#59274C212yesmaximal, complemented
8#59219C211yesmaximal, characteristic, complemented
9#45325C212yesmaximal, complemented
10#44978C212yesmaximal, complemented
11#44864C214yesmaximal, complemented
12#44858C214yesmaximal, complemented
13#40155C212yesmaximal, complemented
14#40142C212yesmaximal, complemented
15#39343C211yesmaximal, characteristic, complemented
16#38964C211yesmaximal, characteristic, complemented
17#38854C214yesmaximal, complemented
18#37968C212yesmaximal, complemented
19#36490C212yesmaximal, complemented
20#36473C211yesmaximal, characteristic, complemented
21#36370C212yesmaximal, complemented
22#36314C211yesmaximal, characteristic, complemented
23#36312C211yesmaximal, characteristic, complemented
24#36310C212yesmaximal, complemented
25#36274C211yesmaximal, characteristic, complemented
26#36189C211yesmaximal, characteristic, complemented
27#36089C212yesmaximal, complemented
28#36030C212yesmaximal, complemented
29#34950C212yesmaximal, complemented
30#34715C211yesmaximal, characteristic
31#34311C211yesmaximal, characteristic, complemented
32#34276C212yesmaximal, complemented
33#34207C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35#34129C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#556C2212yes—
38C2×D4×Q8C2211yescharacteristic
39C2×#536C2212yes—
40C2×#532C2211yescharacteristic
41C2×#520C2212yes—
42C2×#519C2212yes—
43C2×C4×#41C2211yescharacteristic
44#2866C2214yes—
45#2864C2212yes—
46#2860C2212yes—
47#2860C2212yes—
48#2859C2211yescharacteristic
49#2857C2211yescharacteristic
50#2857C2211yescharacteristic
51#2855C2212yes—
52#2807C2214yes—
53#2796C2214yes—
54#2792C2214yes—
55#2772C2214yes—
56#2770C2214yes—
57#2765C2214yes—
58#2763C2214yes—
59#2763C2214yes—
60#2762C2214yes—
61#2755C2214yes—
62#2746C2214yes—
63#2737C2214yes—
64#2723C2214yes—
65#2720C2214yes—
66#2718C2214yes—
67#2716C2214yes—
68#2712C2214yes—
69#2705C2214yes—
70#2695C2214yes—
71#2674C2214yes—
72#2672C2214yes—
73#2637C2214yes—
74#2632C2214yes—
75#2628C2212yes—
76#2616C2212yes—
77#2610C2214yes—
78#2604C2214yes—
79#2603C2214yes—
80#2602C2214yes—
81#2599C2214yes—
82#2597C2214yes—
83#2589C2214yes—
84#2589C2214yes—
85#2586C2214yes—
86#2586C2214yes—
87#2583C2214yes—
88#2582C2212yes—
89#2582C2211yescharacteristic
90#2580C2212yes—
91#2580C2212yes—
92#2571C2211yescharacteristic
93#2570C2212yes—
94#2570C2212yes—
95#2568C2211yescharacteristic
96#2567C2212yes—
97#2567C2212yes—
98#2567C2212yes—
99#2564C2214yes—
100#2557C2214yes—
101#2551C2211yescharacteristic
102#2551C2212yes—
103#2542C2211yescharacteristic
104#2538C2211yescharacteristic
105#2536C2212yes—
106#2536C2214yes—
107#2533C2214yes—
108#2532C2214yes—
109#2530C2214yes—
110#2529C2214yes—
111#2528C2214yes—
112#2527C2214yes—
113#2526C2214yes—
114#2521C2214yes—
115#2521C2214yes—
116#2519C2214yes—
117#2515C2214yes—
118#2515C2214yes—
119#2511C2212yes—
120#2511C2212yes—
121#2508C2212yes—
122#2508C2212yes—
123#2507C2212yes—
124#2507C2212yes—
125#2507C2214yes—
126#2507C2212yes—
127#2507C2212yes—
128#2505C2214yes—
129#2502C2212yes—
130#2499C2212yes—
131#2497C2212yes—
132#2496C2212yes—
133#2496C2212yes—
134#2495C2212yes—
135#2494C2212yes—
136#2494C2212yes—
137#2492C2212yes—
138#2492C2212yes—
139#2491C2212yes—
140#2491C2212yes—
141#2487C2212yes—
142#2486C2212yes—
143#2479C2214yes—
144#2479C2214yes—
145#2479C2214yes—
146#2477C2214yes—
147#2476C2212yes—
148#2474C2212yes—
149#2470C2214yes—
150#2469C2214yes—
151#2469C2214yes—
152#2468C2214yes—
153#2468C2214yes—
154#2468C2214yes—
155#2461C2214yes—
156#2461C2214yes—
157#2459C2212yes—
158#2458C2214yes—
159#2458C2214yes—
160#2456C2212yes—
161#2452C2212yes—
162#2451C2214yes—
163#2451C2211yescharacteristic
164#2451C2212yes—
165#2450C2214yes—
166#2448C2212yes—
167#2445C2211yescharacteristic
168#2445C2212yes—
169#2442C2212yes—
170#2441C2212yes—
171#2440C2212yes—
172#2440C2212yes—
173#2440C2212yes—
174#2439C2212yes—
175#2439C2211yescharacteristic
176#2439C2212yes—
177#2438C2214yes—
178#2438C2214yes—
179#2431C2211yescharacteristic
180#2426C2211yescharacteristic
181#2423C2212yes—
182#2423C2212yes—
183#2423C2212yes—
184#2422C2212yes—
185#2422C2212yes—
186#2421C2212yes—
187#2420C2211yescharacteristic
188#2417C2212yes—
189#2417C2212yes—
190#2415C2212yes—
191#2415C2212yes—
192#2414C2211yescharacteristic
193#2409C2212yes—
194#2409C2212yes—
195#2407C2211yescharacteristic
196#2399C2214yes—
197#2399C2214yes—
198#2392C2212yes—
199#2388C2212yes—
200#2373C2212yes—
201#2373C2212yes—
202#2367C2212yes—
203#2367C2212yes—
204#2365C2211yescharacteristic
205#2365C2212yes—
206#2365C2211yescharacteristic
207#2362C2214yes—
208#2362C2212yes—
209#2362C2211yescharacteristic
210#2362C2211yescharacteristic
211#2362C2212yes—
212#2362C2212yes—
213#2362C2212yes—
214#2361C2214yes—
215#2361C2212yes—
216#2361C2212yes—
217#2360C2212yes—
218#2360C2212yes—
219#2360C2212yes—
220#2360C2212yes—
221#2360C2212yes—
222#2359C2214yes—
223#2359C2214yes—
224#2359C2214yes—
225#2359C2214yes—
226#2359C2214yes—
227#2357C2212yes—
228#2356C2212yes—
229#2356C2212yes—
230#2355C2211yescharacteristic
231#2354C2211yescharacteristic
232#2354C2212yes—
233#2354C2212yes—
234#2354C2211yescharacteristic
235#2354C2212yes—
236#2354C2211yescharacteristic
237#2354C2211yescharacteristic
238#2354C2212yes—
239#2352C2212yes—
240Q8×C4⋊C4C2211yescharacteristic
241Q8×C4⋊C4C2211yescharacteristic
242Q8×C4⋊C4C2211yescharacteristic
243#2349C2212yes—
244D4×C4⋊C4C2211yescharacteristic
245D4×C4⋊C4C2211yescharacteristic
246D4×C4⋊C4C2212yes—
247#2347C2211yescharacteristic
248#2347C2211yescharacteristic
249#2346C2214yes—
250#2346C2212yes—
251#2346C2212yes—
252#2345C2212yes—
253#2341C2212yes—
254Q8×C22⋊C4C2212yes—
255#2339C2212yes—
256#2327C2214yes—
257#2326C2214yes—
258#2326C2214yes—
259#2323C2214yes—
260#2323C2212yes—
261#2317C2212yes—
262#2311C2212yes—
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2212yes—
265C4×C4⋊Q8C2211yescharacteristic
266C4×C4⋊Q8C2212yes—
267C4×C4⋊Q8C2212yes—
268C4×C4⋊Q8C2214yes—
269C4×#127C2212yes—
270C4×#126C2212yes—
271C4×#126C2212yes—
272C4×#124C2214yes—
273C4×#124C2212yes—
274C4×#124C2211yescharacteristic
275C4×C22⋊Q8C2211yescharacteristic
276C4×C22⋊Q8C2211yescharacteristic
277C4×C22⋊Q8C2211yescharacteristic
278C4×#123C2212yes—
279C4×#121C2211yescharacteristic
280#2297C2212yes—
281#2295C2212yes—
282#2295C2214yes—
283#2295C2212yes—
284C2×#391C2212yes—
285#2293C2212yes—
286#2293C2211yescharacteristic
287#2293C2212yes—
288#2293C2214yes—
289#2285C2212yes—
290#2285C2211yescharacteristic
291C2×#384C2211yescharacteristic
292C42×Q8C2211yescharacteristic
293C42×Q8C2212yes—
294C42×Q8C2212yes—
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301C23×Q8C2312yes—
302#556—28no—
303#556—48no—
304D4×Q8—28no—
305#536—216no—
306#532—28no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2314yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×#127C2311yescharacteristic
315C2×#126C2312yes—
316C2×#126C2312yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#125C2312yes—
321C2×#124C2312yes—
322C2×#124C2314yes—
323C2×#124C2311yescharacteristic
324C2×#124C2312yes—
325C2×#124C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2312yes—
329C2×#123C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2311yescharacteristic
342C2×#121C2311yescharacteristic
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345C2×#121C2311yescharacteristic
346#520—48no—
347#519—48no—
348C4×#41—28no—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2314yes—
359C2×C4×Q8C2314yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2314yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2314yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2314yes—
382C2×C4×D4C2311yescharacteristic
383C2×#117C2311yescharacteristic
384C2×#117C2312yes—
385C2×#117C2311yescharacteristic
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2311yescharacteristic
389C2×#117C2312yes—
390C2×#117C2311yescharacteristic
391C2×#117C2311yescharacteristic
392C2×#117C2312yes—
393C2×#117C2314yes—
394C2×#117C2314yes—
395C2×#117C2312yes—
396C2×#117C2314yes—
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2312yes—
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2312yes—
402C22×C42C2312yes—
403C22×C42C2311yescharacteristic
404C22×C42C2311yescharacteristic
405#401C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2312yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2312yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2312yes—
447#396C2312yes—
448#396C2314yes—
449#396C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2312yes—
459#395C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2312yes—
468#394C2312yes—
469#394C2312yes—
470#394C2312yes—
471#394C2312yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2314yes—
477#393C2314yes—
478#393C2312yes—
479#392C2312yes—
480#392C2312yes—
481#392C2312yes—
482#392C2312yes—
483#391C2312yes—
484#391C2314yes—
485#391C2314yes—
486#391C2314yes—
487#391C2314yes—
488#391C2312yes—
489#391C2312yes—
490#391C2311yescharacteristic
491#391C2311yescharacteristic
492#391C2312yes—
493#391C2312yes—
494#391C2314yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2314yes—
499#391C2312yes—
500#391C2314yes—
501#391C2311yescharacteristic
502#391C2314yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2311yescharacteristic
507#391C2312yes—
508#390C2314yes—
509#390C2312yes—
510#390C2312yes—
511#390C2314yes—
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2314yes—
518#390C2314yes—
519#390C2312yes—
520#390C2312yes—
521#390C2311yescharacteristic
522#390C2312yes—
523#390C2311yescharacteristic
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2311yescharacteristic
527#389C2312yes—
528#389C2314yes—
529#389C2312yes—
530#389C2311yescharacteristic
531#389C2314yes—
532#389C2312yes—
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2314yes—
564#389C2311yescharacteristic
565#389C2312yes—
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2314yes—
569#389C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2314yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#386C2312yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2312yes—
664#386C2312yes—
665#386C2312yes—
666#386C2312yes—
667#386C2312yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2312yes—
682#385C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2312yes—
689#384C2312yes—
690#384C2314yes—
691#384C2312yes—
692#384C2312yes—
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#384C2312yes—
696#384C2312yes—
697#384C2312yes—
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#384C2312yes—
701#383C2312yes—
702#383C2312yes—
703#383C2314yes—
704#382C2312yes—
705#382C2311yescharacteristic
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2314yes—
711#382C2314yes—
712#382C2314yes—
713#382C2312yes—
714#381C2314yes—
715#381C2314yes—
716#381C2312yes—
717#380C2314yes—
718#380C2314yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2314yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#380C2314yes—
733#380C2312yes—
734#380C2312yes—
735#380C2311yescharacteristic
736#380C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C22⋊C4C2311yescharacteristic
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806#376C2312yes—
807#376C2314yes—
808#376C2312yes—
809#376C2314yes—
810#376C2314yes—
811C2×#95C2314yes—
812C2×#95C2314yes—
813C43C2312yes—
814C43C2312yes—
815C43C2311yescharacteristic
816C43C2312yes—
817C43C2314yes—
818C2×#41—24no—
819C2×#41—24no—
820C2×#41—28no—
821C2×#41—28no—
822C2×#41—44no—
823C2×#41—42no—
824C22×Q8—28no—
825C22×Q8—28no—
826C22×Q8—44no—
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×Q8C2414yes—
830C22×Q8C2412yes—
831C22×Q8C2411yescharacteristic
832C22×Q8C2411yescharacteristic
833C22×Q8C2414yes—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2414yes—
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2414yes—
855C23×C4C2414yes—
856C23×C4C2414yes—
857C4⋊Q8—24no—
858C4⋊Q8—216no—
859C4⋊Q8—28no—
860C4⋊Q8—24no—
861C4⋊Q8—24no—
862C4⋊Q8—44no—
863C4⋊Q8—44no—
864#127—24no—
865#126—28no—
866#126—28no—
867#126—48no—
868#126—48no—
869#126—84no—
870#125—82no—
871#124—24no—
872#124—28no—
873#124—216no—
874#124—28no—
875#124—48no—
876#123—216no—
877#123—28no—
878#123—216no—
879#123—84no—
880C22⋊Q8—28no—
881C22⋊Q8—24no—
882C22⋊Q8—24no—
883C22⋊Q8—28no—
884C22⋊Q8—28no—
885C22⋊Q8—28no—
886C22⋊Q8—216no—
887C22⋊Q8—44no—
888C22⋊Q8—44no—
889C22⋊Q8—84no—
890C22⋊Q8—84no—
891C22⋊Q8#4118yescomplemented
892#121—24no—
893#121—24no—
894#121—28no—
895#121—42no—
896C4×Q8—24no—
897C4×Q8—28no—
898C4×Q8—24no—
899C4×Q8—28no—
900C4×Q8—24no—
901C4×Q8—28no—
902C4×Q8—28no—
903C4×Q8—24no—
904C4×Q8—24no—
905C4×Q8—44no—
906C4×Q8—48no—
907C4×Q8—48no—
908C4×Q8—48no—
909C4×Q8—48no—
910C4×Q8—44no—
911C4×Q8—44no—
912C4×Q8—44no—
913C4×D4—24no—
914C4×D4—28no—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—24no—
918C4×D4—24no—
919C4×D4—28no—
920C4×D4—24no—
921C4×D4—48no—
922C4×D4—48no—
923C4×D4—48no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—42no—
927C4×D4—44no—
928C4×D4—84no—
929C4×D4#4118yes—
930#117—24no—
931#117—24no—
932#117—28no—
933#117—24no—
934#117—28no—
935#117—24no—
936#117—28no—
937#117—24no—
938#117—28no—
939#117—44no—
940#117—48no—
941#117—48no—
942#117—84no—
943#117—82no—
944C2×C4⋊C4—44no—
945C2×C4⋊C4—44no—
946C2×C4⋊C4—44no—
947C2×C4⋊C4—44no—
948C2×C4⋊C4—82no—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C42—28no—
1071C2×C42—24no—
1072C2×C42—24no—
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2414yes—
1079C2×C42C2414yes—
1080C2×C42C2412yes—
1081C2×C42C2414yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2414yes—
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2414yes—
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2414yes—
1107C2×C42C2412yes—
1108C2×C42C2414yes—
1109C2×C42C2414yes—
1110C2×C42C2412yes—
1111C2×C42C2414yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2411yescharacteristic
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2411yescharacteristic
1142#95C2411yescharacteristic
1143#95C2411yescharacteristic
1144#95C2412yes—
1145#95C2411yescharacteristic
1146#95C2411yescharacteristic
1147#95C2411yescharacteristic
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185C24C2511yescharacteristic
1186C24C2512yes—
1187C24C2512yes—
1188C24C2511yescharacteristic
1189#41—432no—
1190#41—416no—
1191C2×Q8—22no—
1192C2×Q8—22no—
1193C2×Q8—24no—
1194C2×Q8—24no—
1195C2×Q8—28no—
1196C2×Q8—24no—
1197C2×Q8—28no—
1198C2×Q8—24no—
1199C2×Q8—24no—
1200C2×Q8—22no—
1201C2×Q8—24no—
1202C2×Q8—24no—
1203C2×Q8—22no—
1204C2×Q8—44no—
1205C2×Q8—42no—
1206C2×Q8—42no—
1207C2×Q8—44no—
1208C2×Q8—44no—
1209C2×Q8—44no—
1210C2×Q8—432no—
1211C2×Q8C2×#4114yes—
1212C2×Q82−1+414yes—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—22no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—24no—
1220C2×D4—22no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—24no—
1226C2×D4—22no—
1227C2×D4—24no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—41no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4C2×#4114yes—
1240C22×C4—22no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—28no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—28no—
1256C22×C4—24no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—41no—
1267C22×C4—44no—
1268C22×C4—41no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4C2×#4118yes—
1281C22×C4C2×#4114yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2514yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2514yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2514yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2514yes—
1299C22×C4C2512yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2512yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—28no—
1328C4⋊C4—24no—
1329C4⋊C4—28no—
1330C4⋊C4—28no—
1331C4⋊C4—28no—
1332C4⋊C4—24no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—22no—
1337C4⋊C4—24no—
1338C4⋊C4—28no—
1339C4⋊C4—24no—
1340C4⋊C4—28no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—22no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—41no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4C2×#4114yes—
1380C4⋊C4C2×#4114yes—
1381C4⋊C4C2×#4118yes—
1382C4⋊C4H(5,𝔽2)14yes—
1383C4⋊C42−1+414yes—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—28no—
1388C22⋊C4—22no—
1389C22⋊C4—28no—
1390C22⋊C4—24no—
1391C22⋊C4—28no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—22no—
1396C22⋊C4—28no—
1397C22⋊C4—28no—
1398C22⋊C4—24no—
1399C22⋊C4—28no—
1400C22⋊C4—24no—
1401C22⋊C4—28no—
1402C22⋊C4—24no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—41no—
1419C22⋊C4—41no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4C2×#4118yes—
1433C22⋊C4C2×#4118yes—
1434C42—22no—
1435C42—22no—
1436C42—24no—
1437C42—22no—
1438C42—24no—
1439C42—22no—
1440C42—24no—
1441C42—22no—
1442C42—22no—
1443C42—24no—
1444C42—24no—
1445C42—28no—
1446C42—22no—
1447C42—24no—
1448C42—24no—
1449C42—24no—
1450C42—28no—
1451C42—28no—
1452C42—24no—
1453C42—24no—
1454C42—22no—
1455C42—24no—
1456C42—28no—
1457C42—22no—
1458C42—24no—
1459C42—24no—
1460C42—28no—
1461C42—24no—
1462C42—24no—
1463C42—22no—
1464C42—24no—
1465C42—22no—
1466C42—24no—
1467C42—44no—
1468C42—44no—
1469C42—42no—
1470C42—44no—
1471C42—42no—
1472C42—44no—
1473C42—41no—
1474C42—42no—
1475C42C2×#4114yes—
1476C23—22no—
1477C23—21no—
1478C23—22no—
1479C23—21no—
1480C23—21no—
1481C23—22no—
1482C23—21no—
1483C23—22no—
1484C23—22no—
1485C23—21no—
1486C23—22no—
1487C23—21no—
1488C23—21no—
1489C23—22no—
1490C23—21no—
1491C23—22no—
1492C23—21no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—21no—
1497C23—21no—
1498C23—22no—
1499C23—21no—
1500C23—21no—
1501C23—22no—
1502C23C22×#4112yes—
1503C23C22×#4114yes—
1504C23C2611yescharacteristic
1505Q8—28no—
1506Q8—28no—
1507Q8—48no—
1508Q8—416no—
1509Q8—48no—
1510Q8—48no—
1511Q8—88no—
1512D4—28no—
1513D4—48no—
1514D4—44no—
1515D4—48no—
1516D4—48no—
1517D4—48no—
1518D4—48no—
1519D4—44no—
1520D4—84no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—216no—
1542C2×C4—28no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—24no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—24no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—24no—
1585C2×C4—21no—
1586C2×C4—24no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—24no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—24no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—24no—
1600C2×C4—44no—
1601C2×C4—44no—
1602C2×C4—48no—
1603C2×C4—416no—
1604C2×C4—48no—
1605C2×C4—44no—
1606C2×C4—48no—
1607C2×C4—44no—
1608C2×C4—44no—
1609C2×C4—164no—
1610C2×C4—164no—
1611C2×C4—164no—
1612C2×C4C22×#4114yes—
1613C2×C4C22×#4112yes—
1614C2×C4C22×#4114yes—
1615C2×C4C22×#4112yes—
1616C2×C4C22×#4114yes—
1617C2×C4C22×#4112yes—
1618C2×C4C22×#4112yes—
1619C2×C4C22×#4112yes—
1620C2×C4C2×H(5,𝔽2)14yes—
1621C2×C4C2×H(5,𝔽2)12yes—
1622C2×C4C2×2−1+412yes—
1623C2×C4C2×2−1+414yes—
1624C2×C4C2×2−1+412yes—
1625C2×C4C2×2−1+412yes—
1626C2×C4C2×2−1+412yes—
1627C2×C4#58512yes—
1628C22—22no—
1629C22—24no—
1630C22—24no—
1631C22—22no—
1632C22—24no—
1633C22—22no—
1634C22—42no—
1635C22—41no—
1636C22—42no—
1637C22—41no—
1638C22—41no—
1639C22—42no—
1640C22—41no—
1641C22—42no—
1642C22—41no—
1643C22—42no—
1644C22—41no—
1645C22—42no—
1646C22—41no—
1647C22—42no—
1648C22—41no—
1649C22—42no—
1650C22—41no—
1651C22—42no—
1652C22—42no—
1653C22—41no—
1654C22—42no—
1655C22—41no—
1656C22C23×#4111yescharacteristic
1657C22C23×#4111yescharacteristic
1658C22C22×H(5,𝔽2)11yescharacteristic
1659C22C22×2−1+411yescharacteristic
1660C22C22×2−1+411yescharacteristic
1661C22C2×#58511yescharacteristic
1662C22H(7,𝔽2)11yescharacteristic
1663C4—22no—
1664C4—22no—
1665C4—22no—
1666C4—24no—
1667C4—24no—
1668C4—24no—
1669C4—22no—
1670C4—22no—
1671C4—24no—
1672C4—24no—
1673C4—42no—
1674C4—44no—
1675C4—41no—
1676C4—42no—
1677C4—42no—
1678C4—41no—
1679C4—42no—
1680C4—41no—
1681C4—41no—
1682C4—42no—
1683C4—41no—
1684C4—44no—
1685C4—42no—
1686C4—44no—
1687C4—42no—
1688C4—42no—
1689C4—41no—
1690C4—42no—
1691C4—44no—
1692C4#348114yes—
1693C4#349514yes—
1694C2—42no—
1695C2—44no—
1696C2—81no—
1697C2—82no—
1698C2C2×#348111yescharacteristic
1699C2C2×#349511yescharacteristic
1700C2#6280511yescharacteristic
1701C2#6292311yescharacteristic
1702C2#6299911yescharacteristic
1703C2#6300011yescharacteristic
1704C2#6303711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34715C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59995C2semidirect
2. #59765C2semidirect
3. #59642C2semidirect
4. #59503C2semidirect
5. #59478C2semidirect
6. #59322C2semidirect
7. #59274C2semidirect
8. #59219C2semidirect
9. #45325C2semidirect
10. #44978C2semidirect
11. #44864C2semidirect
12. #44858C2semidirect
13. #40155C2semidirect
14. #40142C2semidirect
15. #39343C2semidirect
16. #38964C2semidirect
17. #38854C2semidirect
18. #37968C2semidirect
19. #36490C2semidirect
20. #36473C2semidirect
21. #36370C2semidirect
22. #36314C2semidirect
23. #36312C2semidirect
24. #36310C2semidirect
25. #36274C2semidirect
26. #36189C2semidirect
27. #36089C2semidirect
28. #36030C2semidirect
29. #34950C2semidirect
31. #34311C2semidirect
32. #34276C2semidirect
33. #34207C2semidirect
34. C4×#556C2semidirect
35. #34129C2semidirect
891. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#599952
#597652
#596422
#595032
#594782
#593222
#592742
#592192
#453252
#449782
#448642
#448582
#401552
#401422
#393432
#389642
#388542
#379682
#364902
#364732
#363702
#363142
#363122
#363102
#362742
#361892
#360892
#360302
#349502
#347152
#343112
#342762
#342072
C4×#5562
#341292