Finite Group Databasebeta

← #7690785

Subgroups — #7690785

Order 512.

5012 conjugacy classes of subgroups.

The subgroup lattice has 1693 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59979C214yesmaximal, complemented
2#59630C212yesmaximal, complemented
3#59574C212yesmaximal, complemented
4#59434C211yesmaximal, characteristic, complemented
5#59426C212yesmaximal, complemented
6#59258C211yesmaximal, characteristic, complemented
7#59229C211yesmaximal, characteristic, complemented
8#59054C212yesmaximal, complemented
9#45132C212yesmaximal, complemented
10#44906C212yesmaximal, complemented
11#44201C214yesmaximal, complemented
12#43397C214yesmaximal, complemented
13#40480C214yesmaximal, complemented
14#40196C212yesmaximal, complemented
15#40098C212yesmaximal, complemented
16#39596C211yesmaximal, characteristic, complemented
17#39544C212yesmaximal, complemented
18#39124C211yesmaximal, characteristic, complemented
19#36497C211yesmaximal, characteristic, complemented
20#36454C212yesmaximal, complemented
21#36453C211yesmaximal, characteristic, complemented
22#36423C212yesmaximal, complemented
23#36288C211yesmaximal, characteristic, complemented
24#36252C212yesmaximal, complemented
25#36210C211yesmaximal, characteristic, complemented
26#36116C211yesmaximal, characteristic, complemented
27#35783C212yesmaximal, complemented
28#35770C212yesmaximal, complemented
29#34919C211yesmaximal, characteristic, complemented
30#34708C212yesmaximal, complemented
31#34321C212yesmaximal, complemented
32#34242C211yesmaximal, characteristic, complemented
33#34213C211yesmaximal, characteristic, complemented
34C4×#553C211yesmaximal, characteristic, complemented
35C4×D4×Q8C211yesmaximal, characteristic, complemented
36C2×#555C2212yes—
37C2×#553C2211yescharacteristic
38C2×#552C2212yes—
39C2×D4×Q8C2211yescharacteristic
40C2×#533C2211yescharacteristic
41C2×#529C2211yescharacteristic
42C2×#529C2212yes—
43C22×C4×Q8C2212yes—
44#2864C2212yes—
45#2862C2212yes—
46#2859C2211yescharacteristic
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2855C2212yes—
50#2855C2212yes—
51#2853C2214yes—
52#2787C2214yes—
53#2781C2214yes—
54#2777C2214yes—
55#2776C2214yes—
56#2775C2214yes—
57#2759C2214yes—
58#2759C2214yes—
59#2751C2214yes—
60#2745C2214yes—
61#2745C2214yes—
62#2723C2214yes—
63#2720C2214yes—
64#2715C2214yes—
65#2710C2214yes—
66#2696C2214yes—
67#2695C2214yes—
68#2694C2214yes—
69#2692C2214yes—
70#2686C2214yes—
71#2686C2214yes—
72#2682C2214yes—
73#2665C2214yes—
74#2653C2214yes—
75#2628C2212yes—
76#2628C2212yes—
77#2612C2214yes—
78#2607C2214yes—
79#2596C2214yes—
80#2595C2214yes—
81#2595C2214yes—
82#2594C2214yes—
83#2592C2214yes—
84#2588C2214yes—
85#2586C2214yes—
86#2580C2212yes—
87#2576C2214yes—
88#2576C2214yes—
89#2575C2214yes—
90#2575C2214yes—
91#2574C2214yes—
92#2574C2214yes—
93#2570C2212yes—
94#2567C2212yes—
95#2563C2212yes—
96#2562C2212yes—
97#2560C2212yes—
98#2558C2212yes—
99#2552C2211yescharacteristic
100#2551C2211yescharacteristic
101#2550C2211yescharacteristic
102#2550C2212yes—
103#2547C2212yes—
104#2547C2211yescharacteristic
105#2546C2211yescharacteristic
106#2545C2212yes—
107#2545C2211yescharacteristic
108#2542C2212yes—
109#2540C2211yescharacteristic
110#2540C2212yes—
111#2538C2211yescharacteristic
112#2537C2211yescharacteristic
113#2536C2211yescharacteristic
114#2535C2212yes—
115#2528C2214yes—
116#2527C2214yes—
117#2520C2214yes—
118#2519C2212yes—
119#2517C2214yes—
120#2517C2214yes—
121#2514C2212yes—
122#2514C2214yes—
123#2514C2212yes—
124#2512C2214yes—
125#2511C2214yes—
126#2509C2212yes—
127#2508C2212yes—
128#2506C2212yes—
129#2497C2212yes—
130#2496C2212yes—
131#2496C2212yes—
132#2495C2212yes—
133#2494C2212yes—
134#2494C2212yes—
135#2494C2212yes—
136#2494C2212yes—
137#2494C2212yes—
138#2492C2212yes—
139#2492C2212yes—
140#2491C2212yes—
141#2491C2211yescharacteristic
142#2489C2211yescharacteristic
143#2489C2212yes—
144#2486C2212yes—
145#2485C2212yes—
146#2485C2212yes—
147#2485C2212yes—
148#2484C2214yes—
149#2481C2214yes—
150#2479C2214yes—
151#2478C2214yes—
152#2478C2214yes—
153#2475C2214yes—
154#2474C2214yes—
155#2471C2214yes—
156#2469C2214yes—
157#2469C2214yes—
158#2469C2214yes—
159#2467C2214yes—
160#2462C2214yes—
161#2462C2214yes—
162#2462C2214yes—
163#2461C2212yes—
164#2460C2214yes—
165#2459C2214yes—
166#2458C2214yes—
167#2453C2212yes—
168#2453C2212yes—
169#2451C2212yes—
170#2448C2212yes—
171#2447C2212yes—
172#2447C2214yes—
173#2443C2214yes—
174#2442C2212yes—
175#2441C2212yes—
176#2441C2214yes—
177#2439C2212yes—
178#2439C2212yes—
179#2436C2212yes—
180#2434C2212yes—
181#2429C2211yescharacteristic
182#2429C2212yes—
183#2427C2212yes—
184#2426C2211yescharacteristic
185#2422C2212yes—
186#2421C2212yes—
187#2421C2212yes—
188#2420C2212yes—
189#2420C2212yes—
190#2419C2214yes—
191#2416C2212yes—
192#2415C2212yes—
193#2413C2214yes—
194#2409C2212yes—
195#2409C2212yes—
196#2398C2214yes—
197#2396C2212yes—
198#2396C2214yes—
199#2392C2212yes—
200#2374C2212yes—
201#2373C2212yes—
202#2373C2214yes—
203#2370C2212yes—
204#2370C2214yes—
205#2370C2211yescharacteristic
206#2370C2212yes—
207#2369C2212yes—
208#2369C2212yes—
209#2367C2214yes—
210#2367C2214yes—
211#2365C2211yescharacteristic
212#2365C2212yes—
213#2365C2212yes—
214#2365C2212yes—
215#2365C2212yes—
216#2364C2212yes—
217#2363C2214yes—
218#2363C2211yescharacteristic
219#2363C2212yes—
220#2362C2212yes—
221#2362C2212yes—
222#2361C2211yescharacteristic
223#2361C2212yes—
224#2360C2214yes—
225#2360C2212yes—
226#2357C2211yescharacteristic
227#2355C2214yes—
228#2355C2212yes—
229#2355C2211yescharacteristic
230#2355C2211yescharacteristic
231#2355C2211yescharacteristic
232#2355C2212yes—
233#2354C2212yes—
234#2354C2212yes—
235#2354C2211yescharacteristic
236#2353C2212yes—
237#2352C2211yescharacteristic
238#2352C2212yes—
239Q8×C4⋊C4C2211yescharacteristic
240Q8×C4⋊C4C2211yescharacteristic
241D4×C4⋊C4C2212yes—
242D4×C4⋊C4C2211yescharacteristic
243D4×C4⋊C4C2212yes—
244D4×C4⋊C4C2211yescharacteristic
245#2347C2212yes—
246#2347C2212yes—
247#2347C2214yes—
248#2347C2211yescharacteristic
249#2346C2212yes—
250#2345C2212yes—
251#2345C2211yescharacteristic
252#2344C2212yes—
253#2344C2212yes—
254Q8×C22⋊C4C2212yes—
255#2337C2214yes—
256#2337C2214yes—
257#2335C2214yes—
258#2329C2214yes—
259#2324C2212yes—
260#2324C2212yes—
261#2317C2212yes—
262#2314C2212yes—
263C4×C4⋊Q8C2212yes—
264C4×C4⋊Q8C2212yes—
265C4×C4⋊Q8C2211yescharacteristic
266C4×#125C2211yescharacteristic
267C4×#125C2212yes—
268C4×#126C2212yes—
269C4×#124C2212yes—
270C4×#124C2211yescharacteristic
271C4×#124C2212yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2214yes—
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2211yescharacteristic
277C4×#123C2212yes—
278C4×#121C2212yes—
279C4×#121C2214yes—
280C4×#121C2211yescharacteristic
281C4×#121C2211yescharacteristic
282C4×#121C2212yes—
283C4×#121C2211yescharacteristic
284#2296C2214yes—
285#2295C2212yes—
286#2293C2212yes—
287#2290C2214yes—
288#2285C2211yescharacteristic
289#2285C2211yescharacteristic
290#2274C2212yes—
291#2274C2212yes—
292C42×Q8C2211yescharacteristic
293C42×D4C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C23×Q8C2312yes—
300#555—216no—
301#553—28no—
302#552—48no—
303D4×Q8—28no—
304#533—28no—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312#529—28no—
313#529—48no—
314C2×#126C2312yes—
315C2×#126C2312yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#125C2311yescharacteristic
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#124C2314yes—
325C2×#124C2314yes—
326C2×#124C2311yescharacteristic
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2311yescharacteristic
330C2×#123C2312yes—
331C2×#123C2312yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×#121C2312yes—
345C2×#121C2311yescharacteristic
346C2×#121C2314yes—
347C2×#121C2311yescharacteristic
348C2×#121C2312yes—
349C2×#121C2311yescharacteristic
350C2×#121C2312yes—
351C2×#121C2311yescharacteristic
352C2×C4×Q8—48no—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2314yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2314yes—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2314yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2314yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2314yes—
387C2×#117C2311yescharacteristic
388C2×#117C2311yescharacteristic
389C2×#117C2312yes—
390C2×#117C2314yes—
391C2×#117C2314yes—
392C2×#117C2312yes—
393C22×C4⋊C4C2311yescharacteristic
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2312yes—
396C22×C4⋊C4C2311yescharacteristic
397C22×C4⋊C4C2314yes—
398C22×C42C2311yescharacteristic
399C22×C42C2311yescharacteristic
400C22×C42C2314yes—
401C22×C42C2312yes—
402C22×C42C2312yes—
403#401C2314yes—
404#401C2314yes—
405#401C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2312yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#399C2312yes—
422#398C2312yes—
423#398C2314yes—
424#398C2314yes—
425#398C2312yes—
426#398C2314yes—
427#398C2314yes—
428#398C2312yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#397C2312yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#396C2312yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2312yes—
452#396C2312yes—
453#396C2312yes—
454#396C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2312yes—
462#394C2312yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2314yes—
468#394C2312yes—
469#394C2314yes—
470#394C2314yes—
471#393C2312yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#392C2312yes—
480#392C2314yes—
481#391C2312yes—
482#391C2314yes—
483#391C2312yes—
484#391C2314yes—
485#391C2314yes—
486#391C2314yes—
487#391C2314yes—
488#391C2314yes—
489#391C2314yes—
490#391C2314yes—
491#391C2314yes—
492#391C2312yes—
493#391C2311yescharacteristic
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2311yescharacteristic
499#391C2314yes—
500#391C2314yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#390C2312yes—
505#390C2314yes—
506#390C2311yescharacteristic
507#390C2312yes—
508#390C2314yes—
509#390C2314yes—
510#390C2311yescharacteristic
511#390C2314yes—
512#390C2312yes—
513#390C2312yes—
514#390C2311yescharacteristic
515#390C2312yes—
516#390C2311yescharacteristic
517#390C2312yes—
518#389C2311yescharacteristic
519#389C2312yes—
520#389C2311yescharacteristic
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2314yes—
527#389C2312yes—
528#389C2314yes—
529#389C2311yescharacteristic
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2314yes—
537#389C2312yes—
538#389C2312yes—
539#389C2314yes—
540#389C2314yes—
541#389C2312yes—
542#389C2314yes—
543#389C2314yes—
544#389C2312yes—
545#389C2312yes—
546#389C2311yescharacteristic
547#389C2312yes—
548#389C2312yes—
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2311yescharacteristic
559#389C2312yes—
560#388C2312yes—
561#388C2312yes—
562#388C2312yes—
563#388C2312yes—
564#388C2312yes—
565#388C2312yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2312yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
590#388C2314yes—
591#388C2312yes—
592#388C2312yes—
593#388C2314yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2314yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2314yes—
608#387C2312yes—
609#387C2314yes—
610#387C2312yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
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#387C2314yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#386C2312yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2312yes—
656#386C2314yes—
657#386C2312yes—
658#386C2312yes—
659#386C2312yes—
660#386C2312yes—
661#386C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2312yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2312yes—
677#385C2314yes—
678#384C2312yes—
679#384C2312yes—
680#384C2311yescharacteristic
681#384C2314yes—
682#384C2312yes—
683#384C2311yescharacteristic
684#384C2311yescharacteristic
685#383C2312yes—
686#383C2314yes—
687#383C2314yes—
688#382C2311yescharacteristic
689#382C2312yes—
690#382C2314yes—
691#382C2312yes—
692#382C2312yes—
693#382C2312yes—
694#382C2314yes—
695#382C2314yes—
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2311yescharacteristic
700#381C2314yes—
701#381C2314yes—
702#381C2314yes—
703#381C2314yes—
704#381C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2311yescharacteristic
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2314yes—
716#380C2312yes—
717#380C2312yes—
718#380C2314yes—
719#380C2311yescharacteristic
720#380C2312yes—
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2314yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2311yescharacteristic
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812#376C2314yes—
813#376C2312yes—
814C2×#95C2312yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2312yes—
818C22×Q8—28no—
819C22×Q8—44no—
820C22×Q8—44no—
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2411yescharacteristic
824C22×Q8C2414yes—
825C22×Q8C2412yes—
826C22×Q8C2414yes—
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C22×D4C2414yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2414yes—
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2414yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2414yes—
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C4⋊Q8—24no—
851C4⋊Q8—24no—
852C4⋊Q8—28no—
853C4⋊Q8—24no—
854C4⋊Q8—28no—
855C4⋊Q8—44no—
856C4⋊Q8—44no—
857#126—28no—
858#126—28no—
859#126—48no—
860#126—48no—
861#125—24no—
862#125—28no—
863#125—24no—
864#125—28no—
865#125—44no—
866#125—48no—
867#124—24no—
868#124—216no—
869#124—216no—
870#124—44no—
871#124—42no—
872#124—44no—
873#123—28no—
874#123—28no—
875#123—48no—
876#123—48no—
877C22⋊Q8—24no—
878C22⋊Q8—24no—
879C22⋊Q8—24no—
880C22⋊Q8—28no—
881C22⋊Q8—28no—
882C22⋊Q8—216no—
883C22⋊Q8—24no—
884C22⋊Q8—44no—
885C22⋊Q8—44no—
886C22⋊Q8—44no—
887#121—24no—
888#121—28no—
889#121—28no—
890#121—216no—
891#121—24no—
892#121—24no—
893#121—44no—
894#121#4118yes—
895C4×Q8—24no—
896C4×Q8—28no—
897C4×Q8—28no—
898C4×Q8—24no—
899C4×Q8—48no—
900C4×Q8—48no—
901C4×Q8—48no—
902C4×Q8—44no—
903C4×Q8—44no—
904C4×Q8—42no—
905C4×Q8—44no—
906C4×Q8#4118yes—
907C4×D4—28no—
908C4×D4—24no—
909C4×D4—28no—
910C4×D4—24no—
911C4×D4—28no—
912C4×D4—24no—
913C4×D4—24no—
914C4×D4—28no—
915C4×D4—24no—
916C4×D4—28no—
917C4×D4—42no—
918C4×D4—44no—
919C4×D4—48no—
920C4×D4—42no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—48no—
925#117—28no—
926#117—24no—
927#117—28no—
928#117—24no—
929#117—216no—
930#117—28no—
931#117—28no—
932#117—48no—
933#117—44no—
934#117—48no—
935C2×C4⋊C4—24no—
936C2×C4⋊C4—28no—
937C2×C4⋊C4—24no—
938C2×C4⋊C4—28no—
939C2×C4⋊C4—48no—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2411yescharacteristic
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C42—24no—
1062C2×C42—24no—
1063C2×C42—44no—
1064C2×C42—48no—
1065C2×C42—44no—
1066C2×C42C2414yes—
1067C2×C42C2414yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2414yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2414yes—
1090C2×C42C2412yes—
1091C2×C42C2414yes—
1092C2×C42C2412yes—
1093C2×C42C2414yes—
1094C2×C42C2414yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2414yes—
1098C2×C42C2412yes—
1099C2×C42C2414yes—
1100C2×C42C2414yes—
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2411yescharacteristic
1119#95C2414yes—
1120#95C2411yescharacteristic
1121#95C2411yescharacteristic
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2411yescharacteristic
1126#95C2414yes—
1127#95C2412yes—
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179C24C2512yes—
1180C24C2511yescharacteristic
1181C24C2511yescharacteristic
1182C24C2512yes—
1183C2×Q8—22no—
1184C2×Q8—28no—
1185C2×Q8—24no—
1186C2×Q8—24no—
1187C2×Q8—28no—
1188C2×Q8—22no—
1189C2×Q8—24no—
1190C2×Q8—22no—
1191C2×Q8—22no—
1192C2×Q8—24no—
1193C2×Q8—22no—
1194C2×Q8—44no—
1195C2×Q8—44no—
1196C2×Q8—44no—
1197C2×Q8—42no—
1198C2×Q8—44no—
1199C2×Q8—42no—
1200C2×Q8—432no—
1201C2×Q8C2×#4114yes—
1202C2×D4—24no—
1203C2×D4—22no—
1204C2×D4—24no—
1205C2×D4—28no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4C2×#4114yes—
1225C2×D4C2×#4118yes—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—28no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—28no—
1238C22×C4—24no—
1239C22×C4—22no—
1240C22×C4—28no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—24no—
1244C22×C4—22no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—22no—
1248C22×C4—24no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—24no—
1253C22×C4—28no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—44no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—42no—
1265C22×C4—44no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4C2×#4114yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2514yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2514yes—
1285C22×C4C2514yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2514yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—28no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—28no—
1327C4⋊C4—24no—
1328C4⋊C4—28no—
1329C4⋊C4—24no—
1330C4⋊C4—28no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—28no—
1334C4⋊C4—28no—
1335C4⋊C4—24no—
1336C4⋊C4—28no—
1337C4⋊C4—22no—
1338C4⋊C4—24no—
1339C4⋊C4—22no—
1340C4⋊C4—24no—
1341C4⋊C4—28no—
1342C4⋊C4—22no—
1343C4⋊C4—24no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—42no—
1353C4⋊C4—41no—
1354C4⋊C4—41no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4C2×#4114yes—
1368C4⋊C4C2×#4114yes—
1369C4⋊C4C2×#4118yes—
1370C4⋊C4H(5,𝔽2)14yes—
1371C4⋊C42−1+414yes—
1372C22⋊C4—28no—
1373C22⋊C4—28no—
1374C22⋊C4—22no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—28no—
1379C22⋊C4—24no—
1380C22⋊C4—28no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—28no—
1387C22⋊C4—24no—
1388C22⋊C4—22no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—22no—
1397C22⋊C4—24no—
1398C22⋊C4—22no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4C2×#4118yes—
1423C42—22no—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—22no—
1429C42—28no—
1430C42—28no—
1431C42—24no—
1432C42—24no—
1433C42—22no—
1434C42—24no—
1435C42—24no—
1436C42—24no—
1437C42—22no—
1438C42—28no—
1439C42—24no—
1440C42—24no—
1441C42—22no—
1442C42—22no—
1443C42—22no—
1444C42—24no—
1445C42—24no—
1446C42—42no—
1447C42—42no—
1448C42—44no—
1449C42—44no—
1450C42—42no—
1451C42—42no—
1452C42—41no—
1453C42—42no—
1454C42—42no—
1455C42—44no—
1456C42—44no—
1457C42—42no—
1458C42—44no—
1459C42—44no—
1460C42—44no—
1461C42—42no—
1462C42C2×#4114yes—
1463C42C2×#4118yes—
1464C23—21no—
1465C23—22no—
1466C23—21no—
1467C23—22no—
1468C23—22no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—21no—
1476C23—22no—
1477C23—22no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—22no—
1482C23—21no—
1483C23—22no—
1484C23—21no—
1485C23—22no—
1486C23—21no—
1487C23—22no—
1488C23—22no—
1489C23—21no—
1490C23C22×#4112yes—
1491C23C22×#4114yes—
1492C23C2611yescharacteristic
1493Q8—28no—
1494Q8—416no—
1495Q8—44no—
1496Q8—48no—
1497Q8—84no—
1498Q8—88no—
1499D4—28no—
1500D4—48no—
1501D4—48no—
1502D4—44no—
1503D4—44no—
1504D4—84no—
1505D4—84no—
1506D4—88no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—28no—
1524C2×C4—24no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—24no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—24no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—24no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—24no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—24no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—48no—
1588C2×C4—416no—
1589C2×C4—416no—
1590C2×C4—44no—
1591C2×C4—48no—
1592C2×C4—44no—
1593C2×C4—44no—
1594C2×C4—48no—
1595C2×C4—82no—
1596C2×C4—82no—
1597C2×C4—84no—
1598C2×C4—88no—
1599C2×C4—84no—
1600C2×C4—84no—
1601C2×C4C22×#4112yes—
1602C2×C4C22×#4114yes—
1603C2×C4C22×#4112yes—
1604C2×C4C22×#4114yes—
1605C2×C4C22×#4114yes—
1606C2×C4C22×#4112yes—
1607C2×C4C22×#4112yes—
1608C2×C4C22×#4112yes—
1609C2×C4C2×H(5,𝔽2)14yes—
1610C2×C4C2×H(5,𝔽2)12yes—
1611C2×C4C2×2−1+414yes—
1612C2×C4C2×2−1+412yes—
1613C2×C4#58512yes—
1614C2×C4#58512yes—
1615C22—24no—
1616C22—22no—
1617C22—22no—
1618C22—24no—
1619C22—22no—
1620C22—24no—
1621C22—41no—
1622C22—42no—
1623C22—42no—
1624C22—41no—
1625C22—42no—
1626C22—41no—
1627C22—42no—
1628C22—41no—
1629C22—42no—
1630C22—41no—
1631C22—41no—
1632C22—42no—
1633C22—42no—
1634C22—41no—
1635C22—41no—
1636C22—42no—
1637C22—41no—
1638C22—42no—
1639C22—41no—
1640C22—42no—
1641C22—42no—
1642C22—41no—
1643C22C23×#4111yescharacteristic
1644C22C23×#4111yescharacteristic
1645C22C22×H(5,𝔽2)11yescharacteristic
1646C22C22×2−1+411yescharacteristic
1647C22C2×#58511yescharacteristic
1648C22C2×#58511yescharacteristic
1649C222−1+611yescharacteristic
1650C4—24no—
1651C4—22no—
1652C4—24no—
1653C4—22no—
1654C4—24no—
1655C4—24no—
1656C4—24no—
1657C4—22no—
1658C4—44no—
1659C4—42no—
1660C4—41no—
1661C4—42no—
1662C4—41no—
1663C4—41no—
1664C4—42no—
1665C4—42no—
1666C4—44no—
1667C4—41no—
1668C4—41no—
1669C4—44no—
1670C4—42no—
1671C4—42no—
1672C4—41no—
1673C4—44no—
1674C4—42no—
1675C4—41no—
1676C4—42no—
1677C4—41no—
1678C4—42no—
1679C4#348214yes—
1680C4#350614yes—
1681C2—44no—
1682C2—42no—
1683C2—82no—
1684C2—81no—
1685C2C2×#348211yescharacteristic
1686C2C2×#350611yescharacteristic
1687C2#6278111yescharacteristic
1688C2#6295311yescharacteristic
1689C2#6298511yescharacteristic
1690C2#6300911yescharacteristic
1691C2#6301511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59979C2semidirect
2. #59630C2semidirect
3. #59574C2semidirect
4. #59434C2semidirect
5. #59426C2semidirect
6. #59258C2semidirect
7. #59229C2semidirect
8. #59054C2semidirect
9. #45132C2semidirect
10. #44906C2semidirect
11. #44201C2semidirect
12. #43397C2semidirect
13. #40480C2semidirect
14. #40196C2semidirect
15. #40098C2semidirect
16. #39596C2semidirect
17. #39544C2semidirect
18. #39124C2semidirect
19. #36497C2semidirect
20. #36454C2semidirect
21. #36453C2semidirect
22. #36423C2semidirect
23. #36288C2semidirect
24. #36252C2semidirect
25. #36210C2semidirect
26. #36116C2semidirect
27. #35783C2semidirect
28. #35770C2semidirect
29. #34919C2semidirect
30. #34708C2semidirect
31. #34321C2semidirect
32. #34242C2semidirect
33. #34213C2semidirect
34. C4×#553C2semidirect
35. C4×D4×Q8C2semidirect

Maximal subgroups

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

subgroupindex
#599792
#596302
#595742
#594342
#594262
#592582
#592292
#590542
#451322
#449062
#442012
#433972
#404802
#401962
#400982
#395962
#395442
#391242
#364972
#364542
#364532
#364232
#362882
#362522
#362102
#361162
#357832
#357702
#349192
#347082
#343212
#342422
#342132
C4×#5532
C4×D4×Q82