Finite Group Databasebeta

← #7986149

Subgroups — #7986149

Order 512.

6723 conjugacy classes of subgroups.

The subgroup lattice has 1855 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3554C211yesmaximal, characteristic, complemented
2C2×#3482C211yesmaximal, characteristic, complemented
3#59653C211yesmaximal, characteristic, complemented
4#59102C212yesmaximal, complemented
5#59079C212yesmaximal, complemented
6#59071C211yesmaximal, characteristic, complemented
7#59049C211yesmaximal, characteristic, complemented
8#48828C214yesmaximal, complemented
9#48787C214yesmaximal, complemented
10#45766C214yesmaximal, complemented
11#45412C212yesmaximal, complemented
12#45239C212yesmaximal, complemented
13#45142C212yesmaximal, complemented
14#45101C212yesmaximal, complemented
15#42883C212yesmaximal, complemented
16#42797C212yesmaximal, complemented
17#42683C212yesmaximal, complemented
18#42652C212yesmaximal, complemented
19#39746C211yesmaximal, characteristic, complemented
20#39724C211yesmaximal, characteristic, complemented
21#38956C211yesmaximal, characteristic, complemented
22#38920C211yesmaximal, characteristic, complemented
23#37797C212yesmaximal, complemented
24#37773C212yesmaximal, complemented
25#37741C214yesmaximal, complemented
26#36578C212yesmaximal, complemented
27#36493C211yesmaximal, characteristic, complemented
28#36437C212yesmaximal, complemented
29#36410C211yesmaximal, characteristic, complemented
30#36150C211yesmaximal, characteristic, complemented
31#35182C212yesmaximal, complemented
32#35156C212yesmaximal, complemented
33#34724C211yesmaximal, characteristic, complemented
34#34720C211yesmaximal, characteristic, complemented
35#34487C211yesmaximal, characteristic, complemented
36#3554—216no—
37C2×#562C2214yes—
38#3482—216no—
39C2×#559C2211yescharacteristic
40C2×#559C2212yes—
41C2×#557C2211yescharacteristic
42C2×#557C2211yescharacteristic
43C2×#556C2211yescharacteristic
44C2×#556C2212yes—
45C2×#554C2212yes—
46C2×#552C2212yes—
47C2×#552C2214yes—
48C2×#550C2211yescharacteristic
49C2×D4×Q8C2211yescharacteristic
50C2×#548C2212yes—
51C2×#548C2212yes—
52C2×#547C2211yescharacteristic
53C2×#547C2212yes—
54C2×#547C2212yes—
55C2×#542C2212yes—
56C2×#542C2212yes—
57C2×#540C2212yes—
58C2×#539C2214yes—
59C2×#536C2212yes—
60C2×#533C2211yescharacteristic
61C2×#533C2211yescharacteristic
62C2×#533C2212yes—
63C2×#532C2211yescharacteristic
64C2×#529C2211yescharacteristic
65C2×#529C2214yes—
66C2×#529C2212yes—
67C2×C4×#41C2211yescharacteristic
68C2×C4×#41C2212yes—
69C2×C4×#41C2211yescharacteristic
70C22×C4×Q8C2212yes—
71#2858C2211yescharacteristic
72#2857C2211yescharacteristic
73#2856C2211yescharacteristic
74#2854C2212yes—
75#2854C2214yes—
76#2853C2214yes—
77#2853C2214yes—
78#2850C2212yes—
79#2815C2214yes—
80#2813C2214yes—
81#2733C2214yes—
82#2732C2214yes—
83#2730C2214yes—
84#2730C2214yes—
85#2730C2214yes—
86#2730C2214yes—
87#2728C2214yes—
88#2728C2214yes—
89#2727C2214yes—
90#2725C2214yes—
91#2723C2214yes—
92#2723C2214yes—
93#2721C2214yes—
94#2719C2214yes—
95#2719C2214yes—
96#2718C2214yes—
97#2714C2214yes—
98#2710C2214yes—
99#2710C2214yes—
100#2706C2214yes—
101#2706C2214yes—
102#2706C2214yes—
103#2706C2214yes—
104#2706C2214yes—
105#2705C2214yes—
106#2703C2214yes—
107#2703C2214yes—
108#2703C2214yes—
109#2703C2214yes—
110#2694C2214yes—
111#2694C2214yes—
112#2694C2214yes—
113#2690C2214yes—
114#2661C2214yes—
115#2658C2212yes—
116#2635C2214yes—
117#2635C2214yes—
118#2630C2214yes—
119#2624C2212yes—
120#2623C2214yes—
121#2623C2214yes—
122#2621C2212yes—
123#2619C2212yes—
124#2602C2214yes—
125#2600C2214yes—
126#2582C2211yescharacteristic
127#2581C2212yes—
128#2568C2211yescharacteristic
129#2568C2212yes—
130#2554C2214yes—
131#2550C2212yes—
132#2548C2212yes—
133#2548C2211yescharacteristic
134#2547C2212yes—
135#2546C2211yescharacteristic
136#2545C2212yes—
137#2545C2212yes—
138#2542C2212yes—
139#2541C2211yescharacteristic
140#2540C2212yes—
141#2540C2212yes—
142#2540C2212yes—
143#2538C2211yescharacteristic
144#2535C2212yes—
145#2519C2214yes—
146#2512C2214yes—
147#2504C2212yes—
148#2504C2214yes—
149#2490C2212yes—
150#2489C2212yes—
151#2489C2212yes—
152#2489C2212yes—
153#2489C2212yes—
154#2489C2214yes—
155#2487C2212yes—
156#2487C2214yes—
157#2481C2214yes—
158#2481C2214yes—
159#2479C2214yes—
160#2478C2212yes—
161#2477C2212yes—
162#2476C2214yes—
163#2476C2214yes—
164#2475C2214yes—
165#2475C2212yes—
166#2474C2214yes—
167#2471C2214yes—
168#2471C2214yes—
169#2470C2214yes—
170#2470C2214yes—
171#2470C2212yes—
172#2467C2214yes—
173#2466C2212yes—
174#2464C2214yes—
175#2463C2212yes—
176#2461C2214yes—
177#2460C2212yes—
178#2457C2214yes—
179#2456C2214yes—
180#2456C2214yes—
181#2455C2214yes—
182#2455C2212yes—
183#2454C2212yes—
184#2454C2212yes—
185#2454C2212yes—
186#2453C2212yes—
187#2453C2211yescharacteristic
188#2452C2211yescharacteristic
189#2448C2212yes—
190#2448C2212yes—
191#2448C2214yes—
192#2448C2212yes—
193#2448C2212yes—
194#2448C2212yes—
195#2448C2212yes—
196#2448C2214yes—
197#2447C2211yescharacteristic
198#2446C2212yes—
199#2446C2212yes—
200#2446C2211yescharacteristic
201#2446C2212yes—
202#2445C2212yes—
203#2442C2214yes—
204#2441C2212yes—
205#2441C2211yescharacteristic
206#2439C2211yescharacteristic
207#2432C2212yes—
208#2432C2211yescharacteristic
209#2432C2211yescharacteristic
210#2431C2212yes—
211#2431C2212yes—
212#2431C2212yes—
213#2431C2212yes—
214#2431C2212yes—
215#2431C2212yes—
216#2429C2212yes—
217#2429C2212yes—
218#2429C2212yes—
219#2429C2211yescharacteristic
220#2427C2212yes—
221#2427C2212yes—
222#2427C2212yes—
223#2427C2211yescharacteristic
224#2427C2212yes—
225#2426C2212yes—
226#2426C2212yes—
227#2423C2214yes—
228#2423C2214yes—
229#2422C2211yescharacteristic
230#2421C2212yes—
231#2421C2214yes—
232#2421C2214yes—
233#2421C2214yes—
234#2421C2214yes—
235#2421C2212yes—
236#2421C2211yescharacteristic
237#2415C2211yescharacteristic
238#2415C2211yescharacteristic
239#2415C2214yes—
240#2414C2212yes—
241#2414C2212yes—
242#2414C2212yes—
243#2414C2212yes—
244#2407C2212yes—
245#2407C2212yes—
246#2407C2212yes—
247#2407C2211yescharacteristic
248#2407C2211yescharacteristic
249#2398C2212yes—
250#2395C2212yes—
251#2392C2212yes—
252#2392C2212yes—
253#2378C2214yes—
254#2369C2212yes—
255#2367C2212yes—
256#2367C2212yes—
257#2366C2212yes—
258#2365C2212yes—
259#2365C2211yescharacteristic
260#2363C2212yes—
261#2363C2212yes—
262#2363C2212yes—
263#2363C2212yes—
264#2362C2212yes—
265#2362C2212yes—
266#2357C2212yes—
267#2355C2211yescharacteristic
268#2354C2211yescharacteristic
269#2352C2214yes—
270#2351C2212yes—
271#2351C2212yes—
272#2341C2212yes—
273#2341C2212yes—
274Q8×C22⋊C4C2212yes—
275#2332C2214yes—
276#2331C2212yes—
277#2326C2212yes—
278#2323C2212yes—
279#2323C2212yes—
280#2319C2212yes—
281#2317C2212yes—
282#2311C2212yes—
283#2310C2212yes—
284C4×C4⋊Q8C2211yescharacteristic
285C4×C4⋊Q8C2211yescharacteristic
286C4×#124C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2212yes—
290C4×C22⋊Q8C2211yescharacteristic
291C4×#123C2214yes—
292C4×#123C2212yes—
293C4×#121C2211yescharacteristic
294C4×#121C2212yes—
295#2297C2212yes—
296#2296C2212yes—
297#2295C2211yescharacteristic
298#2293C2211yescharacteristic
299#2290C2212yes—
300C42×D4C2211yescharacteristic
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C22×#41C2311yescharacteristic
306C23×Q8C2312yes—
307#562—232no—
308#559—28no—
309#559—216no—
310#557—28no—
311#557—28no—
312#556—28no—
313#556—216no—
314#554—216no—
315#552—232no—
316#552—216no—
317#550—28no—
318D4×Q8D4116yescomplemented
319#548—216no—
320#548—216no—
321#547—216no—
322#547—28no—
323#547—216no—
324#542—216no—
325#542—216no—
326#540—216no—
327#539—232no—
328#536—216no—
329#533—28no—
330#533—216no—
331#533—28no—
332#532—28no—
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2312yes—
342C2×#127C2311yescharacteristic
343C2×#127C2312yes—
344C2×#127C2312yes—
345#529—232no—
346#529—216no—
347#529—28no—
348C2×#126C2312yes—
349C2×#126C2314yes—
350C2×#126C2314yes—
351C2×#126C2314yes—
352C2×#126C2314yes—
353C2×#125C2314yes—
354C2×#125C2311yescharacteristic
355C2×#125C2312yes—
356C2×#125C2312yes—
357C2×#125C2314yes—
358C2×#125C2312yes—
359C2×#125C2314yes—
360C2×#125C2312yes—
361C2×#124C2312yes—
362C2×#124C2312yes—
363C2×#124C2311yescharacteristic
364C2×#124C2314yes—
365C2×#124C2312yes—
366C2×#124C2312yes—
367C2×#124C2314yes—
368C2×#124C2314yes—
369C2×#124C2312yes—
370C2×#124C2312yes—
371C2×#124C2312yes—
372C2×#124C2311yescharacteristic
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2312yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2312yes—
384C2×#123C2314yes—
385C2×C22⋊Q8C2311yescharacteristic
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2311yescharacteristic
388C2×C22⋊Q8C2311yescharacteristic
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2314yes—
406C2×#121C2312yes—
407C2×#121C2314yes—
408C2×#121C2312yes—
409C2×#121C2314yes—
410C2×#121C2311yescharacteristic
411C2×#121C2312yes—
412C2×#121C2312yes—
413C2×#121C2314yes—
414C2×#121C2314yes—
415C2×#121C2312yes—
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2311yescharacteristic
420C2×#121C2312yes—
421C4×#41—28no—
422C4×#41—28no—
423C4×#41—216no—
424C2×C4×Q8—216no—
425C2×C4×Q8C2311yescharacteristic
426C2×C4×Q8C2311yescharacteristic
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2311yescharacteristic
436C2×C4×Q8C2311yescharacteristic
437C2×C4×Q8C2314yes—
438C2×C4×Q8C2314yes—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2311yescharacteristic
443C2×C4×D4C2312yes—
444C2×C4×D4C2314yes—
445C2×C4×D4C2314yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2311yescharacteristic
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2314yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2314yes—
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2312yes—
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2312yes—
465C2×C4×D4C2311yescharacteristic
466C2×#117C2312yes—
467C2×#117C2312yes—
468C2×#117C2314yes—
469C2×#117C2312yes—
470C2×#117C2311yescharacteristic
471C2×#117C2311yescharacteristic
472C2×#117C2312yes—
473C2×#117C2314yes—
474C2×#117C2312yes—
475C2×#117C2312yes—
476C2×#117C2312yes—
477C2×#117C2312yes—
478C22×C4⋊C4C2312yes—
479C22×C4⋊C4C2314yes—
480C22×C4⋊C4C2314yes—
481C22×C42C2312yes—
482C22×C42C2314yes—
483C22×C42C2312yes—
484C22×C42C2311yescharacteristic
485C22×C42C2311yescharacteristic
486#400C2314yes—
487#400C2314yes—
488#400C2314yes—
489#400C2314yes—
490#400C2312yes—
491#400C2314yes—
492#400C2314yes—
493#400C2314yes—
494#400C2312yes—
495#400C2312yes—
496#400C2314yes—
497#399C2314yes—
498#399C2314yes—
499#399C2314yes—
500#399C2314yes—
501#399C2314yes—
502#399C2314yes—
503#399C2312yes—
504#399C2314yes—
505#399C2314yes—
506#399C2314yes—
507#399C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2312yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2312yes—
516#398C2312yes—
517#398C2314yes—
518#397C2312yes—
519#397C2312yes—
520#397C2314yes—
521#397C2314yes—
522#397C2314yes—
523#397C2314yes—
524#397C2314yes—
525#397C2314yes—
526#397C2314yes—
527#397C2312yes—
528#397C2312yes—
529#397C2312yes—
530#397C2312yes—
531#397C2312yes—
532#397C2314yes—
533#397C2314yes—
534#397C2314yes—
535#397C2314yes—
536#397C2314yes—
537#396C2314yes—
538#396C2314yes—
539#396C2312yes—
540#396C2312yes—
541#396C2312yes—
542#396C2312yes—
543#396C2314yes—
544#396C2314yes—
545#396C2314yes—
546#396C2314yes—
547#396C2314yes—
548#395C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2312yes—
558#394C2312yes—
559#394C2312yes—
560#394C2314yes—
561#394C2312yes—
562#394C2312yes—
563#394C2312yes—
564#394C2312yes—
565#394C2312yes—
566#394C2312yes—
567#394C2312yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#393C2312yes—
572#393C2312yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2312yes—
582#392C2312yes—
583#392C2314yes—
584#392C2314yes—
585#392C2314yes—
586#392C2314yes—
587#392C2314yes—
588#391C2312yes—
589#391C2311yescharacteristic
590#391C2311yescharacteristic
591#391C2311yescharacteristic
592#391C2314yes—
593#391C2312yes—
594#391C2312yes—
595#391C2314yes—
596#391C2311yescharacteristic
597#391C2312yes—
598#391C2312yes—
599#391C2311yescharacteristic
600#391C2312yes—
601#391C2312yes—
602#391C2312yes—
603#391C2314yes—
604#391C2312yes—
605#391C2312yes—
606#391C2314yes—
607#391C2314yes—
608#391C2311yescharacteristic
609#391C2311yescharacteristic
610#391C2311yescharacteristic
611#391C2312yes—
612#390C2312yes—
613#390C2312yes—
614#390C2311yescharacteristic
615#390C2312yes—
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2314yes—
621#390C2314yes—
622#390C2312yes—
623#390C2314yes—
624#390C2314yes—
625#390C2312yes—
626#390C2314yes—
627#390C2312yes—
628#390C2312yes—
629#390C2311yescharacteristic
630#390C2314yes—
631#390C2314yes—
632#390C2314yes—
633#390C2311yescharacteristic
634#390C2312yes—
635#390C2314yes—
636#390C2311yescharacteristic
637#390C2314yes—
638#390C2312yes—
639#390C2314yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2311yescharacteristic
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2311yescharacteristic
650#389C2312yes—
651#389C2314yes—
652#389C2314yes—
653#389C2311yescharacteristic
654#389C2312yes—
655#389C2311yescharacteristic
656#389C2311yescharacteristic
657#389C2314yes—
658#389C2314yes—
659#389C2312yes—
660#389C2314yes—
661#389C2312yes—
662#389C2314yes—
663#389C2314yes—
664#389C2311yescharacteristic
665#389C2311yescharacteristic
666#389C2312yes—
667#389C2312yes—
668#389C2312yes—
669#389C2312yes—
670#389C2311yescharacteristic
671#389C2312yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2312yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2312yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2312yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2312yes—
705#388C2312yes—
706#388C2312yes—
707#388C2312yes—
708#388C2312yes—
709#388C2312yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2312yes—
716#387C2314yes—
717#387C2314yes—
718#387C2312yes—
719#387C2312yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2312yes—
726#387C2312yes—
727#387C2312yes—
728#387C2312yes—
729#387C2312yes—
730#387C2312yes—
731#387C2312yes—
732#387C2312yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2312yes—
751#386C2312yes—
752#386C2314yes—
753#386C2312yes—
754#386C2314yes—
755#386C2312yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2312yes—
761#385C2312yes—
762#385C2312yes—
763#385C2314yes—
764#385C2312yes—
765#385C2314yes—
766#385C2312yes—
767#385C2312yes—
768#385C2312yes—
769#385C2312yes—
770#385C2314yes—
771#385C2312yes—
772#385C2312yes—
773#385C2312yes—
774#385C2312yes—
775#384C2311yescharacteristic
776#384C2311yescharacteristic
777#384C2314yes—
778#382C2312yes—
779#382C2314yes—
780#382C2314yes—
781#382C2312yes—
782#382C2311yescharacteristic
783#382C2314yes—
784#382C2314yes—
785#381C2314yes—
786#381C2314yes—
787#381C2312yes—
788#380C2314yes—
789#380C2314yes—
790#380C2314yes—
791#380C2311yescharacteristic
792#380C2312yes—
793#380C2311yescharacteristic
794#380C2312yes—
795#380C2314yes—
796#380C2314yes—
797#380C2312yes—
798#380C2312yes—
799#380C2314yes—
800#380C2311yescharacteristic
801#380C2311yescharacteristic
802#380C2312yes—
803#380C2314yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2314yes—
814C4×C4⋊C4C2314yes—
815C4×C4⋊C4C2314yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2311yescharacteristic
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2311yescharacteristic
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2311yescharacteristic
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2311yescharacteristic
843#376C2312yes—
844C43C2311yescharacteristic
845C2×#41—24no—
846C2×#41—28no—
847C2×#41—24no—
848C2×#41—28no—
849C2×#41—28no—
850C2×#41—44no—
851C2×#41—42no—
852C2×#41—42no—
853C2×#41—42no—
854C2×#41—42no—
855C2×#41—44no—
856C2×#41—44no—
857C2×#41—44no—
858C2×#41—44no—
859C2×#41—44no—
860C22×Q8—44no—
861C22×Q8—44no—
862C22×Q8C2×D4116yes—
863C22×Q8C2411yescharacteristic
864C22×Q8C2412yes—
865C22×Q8C2411yescharacteristic
866C22×Q8C2411yescharacteristic
867C22×Q8C2412yes—
868C22×Q8C2411yescharacteristic
869C22×Q8C2412yes—
870C22×Q8C2414yes—
871C22×D4C2412yes—
872C22×D4C2411yescharacteristic
873C22×D4C2412yes—
874C22×D4C2411yescharacteristic
875C22×D4C2414yes—
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2414yes—
881C22×D4C2414yes—
882C22×D4C2414yes—
883C22×D4C2411yescharacteristic
884C22×D4C2414yes—
885C22×D4C2412yes—
886C22×D4C2414yes—
887C22×D4C2414yes—
888C23×C4C2411yescharacteristic
889C23×C4C2412yes—
890C23×C4C2411yescharacteristic
891C23×C4C2411yescharacteristic
892C23×C4C2411yescharacteristic
893C23×C4C2412yes—
894C23×C4C2411yescharacteristic
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2414yes—
898C23×C4C2412yes—
899C23×C4C2414yes—
900C23×C4C2414yes—
901C23×C4C2414yes—
902C23×C4C2412yes—
903C23×C4C2411yescharacteristic
904C23×C4C2414yes—
905C4⋊Q8—24no—
906C4⋊Q8—28no—
907C4⋊Q8—24no—
908C4⋊Q8—24no—
909C4⋊Q8—28no—
910C4⋊Q8—44no—
911C4⋊Q8—42no—
912C4⋊Q8C2×D418yes—
913C4⋊Q8C2×D4116yes—
914#127—28no—
915#127—24no—
916#127—44no—
917#126—216no—
918#126—216no—
919#126—216no—
920#126—216no—
921#126—28no—
922#125—28no—
923#125—216no—
924#125—24no—
925#125—28no—
926#125—216no—
927#125—28no—
928#125—216no—
929#125—28no—
930#124—28no—
931#124—216no—
932#124—28no—
933#124—28no—
934#124—216no—
935#124—24no—
936#124—216no—
937#124—28no—
938#124—44no—
939#124—44no—
940#124—42no—
941#124—44no—
942#123—216no—
943#123—216no—
944#123—216no—
945#123—216no—
946#123—216no—
947#123—216no—
948#123—216no—
949#123—28no—
950#123—216no—
951#123—216no—
952#123—48no—
953#123—44no—
954C22⋊Q8—24no—
955C22⋊Q8—28no—
956C22⋊Q8—216no—
957C22⋊Q8—216no—
958C22⋊Q8—216no—
959C22⋊Q8—216no—
960C22⋊Q8—24no—
961C22⋊Q8—24no—
962C22⋊Q8—28no—
963C22⋊Q8—28no—
964C22⋊Q8—28no—
965C22⋊Q8—28no—
966C22⋊Q8—216no—
967C22⋊Q8—44no—
968C22⋊Q8—42no—
969C22⋊Q8—42no—
970C22⋊Q8—42no—
971C22⋊Q8—44no—
972C22⋊Q8—44no—
973C22⋊Q8C2×D4132yes—
974C22⋊Q8C2×D4116yes—
975#121—24no—
976#121—28no—
977#121—216no—
978#121—216no—
979#121—28no—
980#121—28no—
981#121—28no—
982#121—216no—
983#121—216no—
984#121—44no—
985#121—42no—
986#121—44no—
987#121—44no—
988#121—44no—
989#121—44no—
990C4×Q8—24no—
991C4×Q8—28no—
992C4×Q8—216no—
993C4×Q8—28no—
994C4×Q8—28no—
995C4×Q8—216no—
996C4×Q8—28no—
997C4×Q8—24no—
998C4×Q8—28no—
999C4×Q8—28no—
1000C4×Q8—24no—
1001C4×Q8—28no—
1002C4×Q8—24no—
1003C4×Q8—24no—
1004C4×Q8—28no—
1005C4×Q8—44no—
1006C4×Q8—44no—
1007C4×Q8C2×D418yes—
1008C4×D4—24no—
1009C4×D4—28no—
1010C4×D4—216no—
1011C4×D4—28no—
1012C4×D4—216no—
1013C4×D4—24no—
1014C4×D4—28no—
1015C4×D4—28no—
1016C4×D4—28no—
1017C4×D4—28no—
1018C4×D4—28no—
1019C4×D4—28no—
1020C4×D4—216no—
1021C4×D4—24no—
1022C4×D4—28no—
1023C4×D4—28no—
1024C4×D4—42no—
1025C4×D4—42no—
1026C4×D4—44no—
1027C4×D4—48no—
1028C4×D4—42no—
1029C4×D4C2×D418yes—
1030C4×D4C2×D4116yes—
1031#117—28no—
1032#117—24no—
1033#117—28no—
1034#117—24no—
1035#117—28no—
1036#117—216no—
1037#117—28no—
1038#117—28no—
1039#117—216no—
1040#117—28no—
1041#117—44no—
1042#117—44no—
1043C2×C4⋊C4—28no—
1044C2×C4⋊C4—216no—
1045C2×C4⋊C4—216no—
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2411yescharacteristic
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2411yescharacteristic
1140C2×C22⋊C4C2411yescharacteristic
1141C2×C22⋊C4C2411yescharacteristic
1142C2×C22⋊C4C2411yescharacteristic
1143C2×C22⋊C4C2411yescharacteristic
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2414yes—
1178C2×C42—28no—
1179C2×C42—216no—
1180C2×C42—24no—
1181C2×C42—28no—
1182C2×C42—24no—
1183C2×C42C2412yes—
1184C2×C42C2411yescharacteristic
1185C2×C42C2412yes—
1186C2×C42C2414yes—
1187C2×C42C2411yescharacteristic
1188C2×C42C2412yes—
1189C2×C42C2414yes—
1190C2×C42C2411yescharacteristic
1191C2×C42C2412yes—
1192C2×C42C2412yes—
1193C2×C42C2412yes—
1194C2×C42C2411yescharacteristic
1195C2×C42C2411yescharacteristic
1196C2×C42C2412yes—
1197C2×C42C2414yes—
1198C2×C42C2411yescharacteristic
1199C2×C42C2411yescharacteristic
1200C2×C42C2412yes—
1201C2×C42C2414yes—
1202C2×C42C2411yescharacteristic
1203C2×C42C2412yes—
1204C2×C42C2411yescharacteristic
1205C2×C42C2411yescharacteristic
1206C2×C42C2414yes—
1207C2×C42C2411yescharacteristic
1208C2×C42C2414yes—
1209C2×C42C2414yes—
1210C2×C42C2414yes—
1211C2×C42C2411yescharacteristic
1212C2×C42C2412yes—
1213C2×C42C2411yescharacteristic
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2411yescharacteristic
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2411yescharacteristic
1224#95C2412yes—
1225#95C2411yescharacteristic
1226#95C2411yescharacteristic
1227#95C2411yescharacteristic
1228#95C2411yescharacteristic
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2414yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2414yes—
1241#95C2412yes—
1242#95C2414yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2414yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2414yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272C24C2512yes—
1273C24C2511yescharacteristic
1274C24C2511yescharacteristic
1275C24C2514yes—
1276C24C2512yes—
1277#41—432no—
1278#41—416no—
1279#41—416no—
1280#41—816no—
1281#41—816no—
1282C2×Q8—22no—
1283C2×Q8—24no—
1284C2×Q8—22no—
1285C2×Q8—22no—
1286C2×Q8—24no—
1287C2×Q8—24no—
1288C2×Q8—24no—
1289C2×Q8—22no—
1290C2×Q8—22no—
1291C2×Q8—22no—
1292C2×Q8—24no—
1293C2×Q8—22no—
1294C2×Q8—22no—
1295C2×Q8—22no—
1296C2×Q8—22no—
1297C2×Q8—24no—
1298C2×Q8—22no—
1299C2×Q8—44no—
1300C2×Q8—44no—
1301C2×Q8—42no—
1302C2×Q8—42no—
1303C2×Q8—432no—
1304C2×Q8C22×D414yes—
1305C2×Q8C22×D418yes—
1306C2×Q8C22×D4116yes—
1307C2×D4—24no—
1308C2×D4—28no—
1309C2×D4—24no—
1310C2×D4—28no—
1311C2×D4—28no—
1312C2×D4—24no—
1313C2×D4—24no—
1314C2×D4—22no—
1315C2×D4—24no—
1316C2×D4—24no—
1317C2×D4—28no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—24no—
1321C2×D4—24no—
1322C2×D4—22no—
1323C2×D4—24no—
1324C2×D4—22no—
1325C2×D4—24no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—42no—
1330C2×D4—42no—
1331C2×D4—42no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—42no—
1335C2×D4—42no—
1336C2×D4—44no—
1337C2×D4—42no—
1338C2×D4—42no—
1339C2×D4—44no—
1340C2×D4—42no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—44no—
1346C2×D4—42no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—44no—
1352C2×D4—44no—
1353C2×D4—44no—
1354C2×D4—44no—
1355C2×D4—44no—
1356C2×D4—44no—
1357C2×D4C22×D414yes—
1358C22×C4—24no—
1359C22×C4—24no—
1360C22×C4—24no—
1361C22×C4—24no—
1362C22×C4—28no—
1363C22×C4—22no—
1364C22×C4—24no—
1365C22×C4—22no—
1366C22×C4—24no—
1367C22×C4—22no—
1368C22×C4—24no—
1369C22×C4—22no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—24no—
1373C22×C4—22no—
1374C22×C4—24no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—24no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—24no—
1384C22×C4—22no—
1385C22×C4—28no—
1386C22×C4—28no—
1387C22×C4—28no—
1388C22×C4—41no—
1389C22×C4—42no—
1390C22×C4—42no—
1391C22×C4—44no—
1392C22×C4—44no—
1393C22×C4—42no—
1394C22×C4—42no—
1395C22×C4—42no—
1396C22×C4—42no—
1397C22×C4—44no—
1398C22×C4—44no—
1399C22×C4—44no—
1400C22×C4—41no—
1401C22×C4—41no—
1402C22×C4—44no—
1403C22×C4—44no—
1404C22×C4—44no—
1405C22×C4—44no—
1406C22×C4—44no—
1407C22×C4C22×D418yes—
1408C22×C4C22×D4116yes—
1409C22×C4C2512yes—
1410C22×C4C2512yes—
1411C22×C4C2512yes—
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C22×C4C2511yescharacteristic
1415C22×C4C2514yes—
1416C22×C4C2511yescharacteristic
1417C22×C4C2512yes—
1418C22×C4C2511yescharacteristic
1419C22×C4C2512yes—
1420C22×C4C2512yes—
1421C22×C4C2511yescharacteristic
1422C22×C4C2512yes—
1423C22×C4C2511yescharacteristic
1424C22×C4C2511yescharacteristic
1425C22×C4C2512yes—
1426C22×C4C2512yes—
1427C22×C4C2514yes—
1428C22×C4C2512yes—
1429C22×C4C2512yes—
1430C22×C4C2511yescharacteristic
1431C22×C4C2512yes—
1432C22×C4C2514yes—
1433C22×C4C2511yescharacteristic
1434C22×C4C2512yes—
1435C22×C4C2512yes—
1436C22×C4C2511yescharacteristic
1437C22×C4C2511yescharacteristic
1438C22×C4C2511yescharacteristic
1439C4⋊C4—24no—
1440C4⋊C4—22no—
1441C4⋊C4—24no—
1442C4⋊C4—24no—
1443C4⋊C4—28no—
1444C4⋊C4—24no—
1445C4⋊C4—28no—
1446C4⋊C4—28no—
1447C4⋊C4—28no—
1448C4⋊C4—28no—
1449C4⋊C4—22no—
1450C4⋊C4—28no—
1451C4⋊C4—24no—
1452C4⋊C4—24no—
1453C4⋊C4—28no—
1454C4⋊C4—24no—
1455C4⋊C4—24no—
1456C4⋊C4—24no—
1457C4⋊C4—24no—
1458C4⋊C4—28no—
1459C4⋊C4—24no—
1460C4⋊C4—22no—
1461C4⋊C4—24no—
1462C4⋊C4—22no—
1463C4⋊C4—24no—
1464C4⋊C4—28no—
1465C4⋊C4—24no—
1466C4⋊C4—28no—
1467C4⋊C4—24no—
1468C4⋊C4—22no—
1469C4⋊C4—24no—
1470C4⋊C4—24no—
1471C4⋊C4—22no—
1472C4⋊C4—22no—
1473C4⋊C4—22no—
1474C4⋊C4—22no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—42no—
1478C4⋊C4—42no—
1479C4⋊C4—42no—
1480C4⋊C4—42no—
1481C4⋊C4—42no—
1482C4⋊C4—41no—
1483C4⋊C4—42no—
1484C4⋊C4—41no—
1485C4⋊C4—44no—
1486C4⋊C4—44no—
1487C4⋊C4—42no—
1488C4⋊C4—42no—
1489C4⋊C4—42no—
1490C4⋊C4—44no—
1491C4⋊C4—44no—
1492C4⋊C4—42no—
1493C4⋊C4—42no—
1494C4⋊C4—42no—
1495C4⋊C4—44no—
1496C4⋊C4—42no—
1497C4⋊C4—42no—
1498C4⋊C4—44no—
1499C4⋊C4—44no—
1500C4⋊C4C22×D4116yes—
1501C4⋊C4C22×D414yes—
1502C4⋊C4C22×D414yes—
1503C4⋊C4C22×D418yes—
1504C4⋊C4C22×D418yes—
1505C4⋊C4C22×D418yes—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—24no—
1510C22⋊C4—24no—
1511C22⋊C4—24no—
1512C22⋊C4—24no—
1513C22⋊C4—28no—
1514C22⋊C4—24no—
1515C22⋊C4—24no—
1516C22⋊C4—24no—
1517C22⋊C4—28no—
1518C22⋊C4—28no—
1519C22⋊C4—28no—
1520C22⋊C4—28no—
1521C22⋊C4—28no—
1522C22⋊C4—28no—
1523C22⋊C4—28no—
1524C22⋊C4—24no—
1525C22⋊C4—28no—
1526C22⋊C4—28no—
1527C22⋊C4—28no—
1528C22⋊C4—22no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—44no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—42no—
1536C22⋊C4—44no—
1537C22⋊C4—41no—
1538C22⋊C4—41no—
1539C22⋊C4—42no—
1540C22⋊C4—42no—
1541C22⋊C4—41no—
1542C22⋊C4—41no—
1543C22⋊C4—41no—
1544C22⋊C4—44no—
1545C22⋊C4—42no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—42no—
1551C22⋊C4—42no—
1552C22⋊C4—42no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—42no—
1556C22⋊C4—42no—
1557C22⋊C4—42no—
1558C22⋊C4—42no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—42no—
1562C22⋊C4—44no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—42no—
1568C22⋊C4—44no—
1569C22⋊C4C22×D418yes—
1570C22⋊C4C22×D4116yes—
1571C42—24no—
1572C42—22no—
1573C42—22no—
1574C42—22no—
1575C42—24no—
1576C42—28no—
1577C42—24no—
1578C42—28no—
1579C42—24no—
1580C42—22no—
1581C42—22no—
1582C42—22no—
1583C42—28no—
1584C42—24no—
1585C42—24no—
1586C42—24no—
1587C42—28no—
1588C42—22no—
1589C42—24no—
1590C42—22no—
1591C42—24no—
1592C42—22no—
1593C42—22no—
1594C42—41no—
1595C42—44no—
1596C42—44no—
1597C42—41no—
1598C42—44no—
1599C42—44no—
1600C42C22×D414yes—
1601C42C22×D418yes—
1602C23—22no—
1603C23—22no—
1604C23—22no—
1605C23—22no—
1606C23—22no—
1607C23—22no—
1608C23—22no—
1609C23—21no—
1610C23—21no—
1611C23—24no—
1612C23—21no—
1613C23—24no—
1614C23—21no—
1615C23—24no—
1616C23—22no—
1617C23—24no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—22no—
1622C23—22no—
1623C23—21no—
1624C23—21no—
1625C23—22no—
1626C23—24no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—24no—
1631C23—22no—
1632C23—21no—
1633C23—22no—
1634C23—24no—
1635C23—21no—
1636C23C23×D414yes—
1637C23C2611yescharacteristic
1638Q8—28no—
1639Q8—216no—
1640Q8—416no—
1641Q8—44no—
1642Q8—44no—
1643Q8—48no—
1644Q8—44no—
1645Q8—84no—
1646D4—28no—
1647D4—48no—
1648D4—48no—
1649D4—416no—
1650D4—44no—
1651D4—44no—
1652D4—48no—
1653D4—48no—
1654D4—84no—
1655D4—88no—
1656D4—84no—
1657D4—88no—
1658D4—88no—
1659D4—88no—
1660D4—84no—
1661D4—164no—
1662D4—164no—
1663C2×C4—21no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—21no—
1667C2×C4—24no—
1668C2×C4—24no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—21no—
1675C2×C4—216no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—24no—
1686C2×C4—21no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—21no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—24no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—21no—
1706C2×C4—24no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—22no—
1712C2×C4—24no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—22no—
1719C2×C4—24no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—24no—
1724C2×C4—21no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—22no—
1731C2×C4—21no—
1732C2×C4—22no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—21no—
1742C2×C4—416no—
1743C2×C4—48no—
1744C2×C4—44no—
1745C2×C4—48no—
1746C2×C4—48no—
1747C2×C4—48no—
1748C2×C4—416no—
1749C2×C4—44no—
1750C2×C4—44no—
1751C2×C4—44no—
1752C2×C4—48no—
1753C2×C4—44no—
1754C2×C4—88no—
1755C2×C4—82no—
1756C2×C4—88no—
1757C2×C4—88no—
1758C2×C4C23×D414yes—
1759C2×C4C23×D418yes—
1760C2×C4C23×D412yes—
1761C2×C4C23×D414yes—
1762C2×C4C23×D414yes—
1763C2×C4C23×D412yes—
1764C2×C4C23×D412yes—
1765C2×C4#58512yes—
1766C2×C4#58512yes—
1767C2×C4#58512yes—
1768C2×C4#58512yes—
1769C2×C4#58512yes—
1770C22—24no—
1771C22—24no—
1772C22—24no—
1773C22—42no—
1774C22—42no—
1775C22—42no—
1776C22—42no—
1777C22—42no—
1778C22—41no—
1779C22—44no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—42no—
1784C22—44no—
1785C22—42no—
1786C22—41no—
1787C22—41no—
1788C22—44no—
1789C22—41no—
1790C22—44no—
1791C22—41no—
1792C22—42no—
1793C22—41no—
1794C22—42no—
1795C22—41no—
1796C22—44no—
1797C22—41no—
1798C22—42no—
1799C22—44no—
1800C22—41no—
1801C22—42no—
1802C22—44no—
1803C22—41no—
1804C22—41no—
1805C22C24×D411yescharacteristic
1806C22C2×#58511yescharacteristic
1807C22C2×#58511yescharacteristic
1808C22C2×#58511yescharacteristic
1809C22C2×#58511yescharacteristic
1810C22C2×#58511yescharacteristic
1811C222−1+611yescharacteristic
1812C4—22no—
1813C4—24no—
1814C4—22no—
1815C4—24no—
1816C4—24no—
1817C4—28no—
1818C4—42no—
1819C4—42no—
1820C4—41no—
1821C4—42no—
1822C4—42no—
1823C4—41no—
1824C4—42no—
1825C4—41no—
1826C4—41no—
1827C4—42no—
1828C4—41no—
1829C4—44no—
1830C4—41no—
1831C4—41no—
1832C4—42no—
1833C4—42no—
1834C4—44no—
1835C4—42no—
1836C4—41no—
1837C4—42no—
1838C4—41no—
1839C4—42no—
1840C4#348514yes—
1841C4#348714yes—
1842C2—44no—
1843C2—81no—
1844C2—82no—
1845C2—81no—
1846C2—84no—
1847C2#6276211yescharacteristic
1848C2C2×#348511yescharacteristic
1849C2C2×#348711yescharacteristic
1850C2#6296711yescharacteristic
1851C2#6296811yescharacteristic
1852C2#6300211yescharacteristic
1853C2#6303611yescharacteristic
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. C2×#3554C2semidirect
2. C2×#3482C2semidirect
3. #59653C2semidirect
4. #59102C2semidirect
5. #59079C2semidirect
6. #59071C2semidirect
7. #59049C2semidirect
8. #48828C2semidirect
9. #48787C2semidirect
10. #45766C2semidirect
11. #45412C2semidirect
12. #45239C2semidirect
13. #45142C2semidirect
14. #45101C2semidirect
15. #42883C2semidirect
16. #42797C2semidirect
17. #42683C2semidirect
18. #42652C2semidirect
19. #39746C2semidirect
20. #39724C2semidirect
21. #38956C2semidirect
22. #38920C2semidirect
23. #37797C2semidirect
24. #37773C2semidirect
25. #37741C2semidirect
26. #36578C2semidirect
27. #36493C2semidirect
28. #36437C2semidirect
29. #36410C2semidirect
30. #36150C2semidirect
31. #35182C2semidirect
32. #35156C2semidirect
33. #34724C2semidirect
34. #34720C2semidirect
35. #34487C2semidirect
318. D4×Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35542
C2×#34822
#596532
#591022
#590792
#590712
#590492
#488282
#487872
#457662
#454122
#452392
#451422
#451012
#428832
#427972
#426832
#426522
#397462
#397242
#389562
#389202
#377972
#377732
#377412
#365782
#364932
#364372
#364102
#361502
#351822
#351562
#347242
#347202
#344872