Finite Group Databasebeta

← #7656167

Subgroups — #7656167

Order 512.

6534 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3516C211yesmaximal, characteristic, complemented
2C2×#3507C211yesmaximal, characteristic, complemented
3#42882C211yesmaximal, characteristic, complemented
4#42878C211yesmaximal, characteristic, complemented
5#42796C212yesmaximal, complemented
6#42794C211yesmaximal, characteristic, complemented
7#42790C211yesmaximal, characteristic, complemented
8#42786C212yesmaximal, complemented
9#42388C212yesmaximal, complemented
10#42313C212yesmaximal, complemented
11#42154C212yesmaximal, complemented
12#41956C212yesmaximal, complemented
13#40523C214yesmaximal, complemented
14#40522C214yesmaximal, complemented
15#39955C212yesmaximal, complemented
16#39950C212yesmaximal, complemented
17#38435C214yesmaximal, complemented
18#38431C214yesmaximal, complemented
19#37560C211yesmaximal, characteristic, complemented
20#37558C212yesmaximal, complemented
21#37550C211yesmaximal, characteristic, complemented
22#37541C212yesmaximal, complemented
23#36270C212yesmaximal, complemented
24#36268C212yesmaximal, complemented
25#36030C211yesmaximal, characteristic, complemented
26#36019C211yesmaximal, characteristic, complemented
27#35752C212yesmaximal, complemented
28#35738C211yesmaximal, characteristic, complemented
29#35701C211yesmaximal, characteristic, complemented
30#35688C212yesmaximal, complemented
31#35212C212yesmaximal, complemented
32#35201C211yesmaximal, characteristic, complemented
33#34643C212yesmaximal, complemented
34#34624C211yesmaximal, characteristic, complemented
35#34128C211yesmaximal, characteristic, complemented
36#3516—216no—
37#3507—216no—
38C2×#559C2212yes—
39C2×#557C2211yescharacteristic
40C2×#557C2212yes—
41C2×#556C2214yes—
42C2×#556C2212yes—
43C2×#556C2211yescharacteristic
44C2×#556C2211yescharacteristic
45C2×#556C2211yescharacteristic
46C2×#554C2211yescharacteristic
47C2×#554C2211yescharacteristic
48C2×#554C2212yes—
49C2×#554C2211yescharacteristic
50C2×#553C2212yes—
51C2×#553C2211yescharacteristic
52C2×#552C2212yes—
53C2×#552C2212yes—
54C2×#552C2212yes—
55C2×#552C2211yescharacteristic
56C2×D4×Q8C2211yescharacteristic
57C2×#548C2211yescharacteristic
58C2×#548C2211yescharacteristic
59C2×#542C2211yescharacteristic
60C2×#542C2212yes—
61C2×#541C2211yescharacteristic
62C2×#541C2212yes—
63C2×#539C2214yes—
64C2×#536C2212yes—
65C2×#533C2211yescharacteristic
66C2×#532C2211yescharacteristic
67C2×#529C2212yes—
68C2×#529C2212yes—
69C2×#529C2211yescharacteristic
70C2×#529C2212yes—
71C2×#529C2211yescharacteristic
72C2×#529C2212yes—
73C2×#520C2212yes—
74C2×#520C2211yescharacteristic
75C2×#519C2211yescharacteristic
76C22×C4×Q8C2211yescharacteristic
77#2861C2212yes—
78#2860C2214yes—
79#2860C2214yes—
80#2859C2212yes—
81#2822C2212yes—
82#2821C2212yes—
83#2820C2212yes—
84#2820C2212yes—
85#2819C2212yes—
86#2818C2212yes—
87#2817C2212yes—
88#2816C2212yes—
89#2814C2214yes—
90#2813C2214yes—
91#2734C2214yes—
92#2733C2214yes—
93#2731C2214yes—
94#2731C2214yes—
95#2730C2214yes—
96#2730C2214yes—
97#2729C2214yes—
98#2729C2214yes—
99#2727C2214yes—
100#2725C2214yes—
101#2720C2214yes—
102#2719C2214yes—
103#2713C2214yes—
104#2711C2214yes—
105#2705C2214yes—
106#2704C2214yes—
107#2702C2214yes—
108#2702C2214yes—
109#2696C2214yes—
110#2694C2214yes—
111#2683C2214yes—
112#2681C2214yes—
113#2674C2214yes—
114#2673C2214yes—
115#2664C2214yes—
116#2664C2212yes—
117#2664C2212yes—
118#2663C2214yes—
119#2663C2212yes—
120#2663C2212yes—
121#2663C2212yes—
122#2663C2212yes—
123#2662C2214yes—
124#2662C2212yes—
125#2662C2212yes—
126#2662C2212yes—
127#2662C2212yes—
128#2661C2214yes—
129#2661C2211yescharacteristic
130#2661C2211yescharacteristic
131#2661C2211yescharacteristic
132#2661C2211yescharacteristic
133#2661C2212yes—
134#2661C2212yes—
135#2660C2211yescharacteristic
136#2657C2211yescharacteristic
137#2641C2211yescharacteristic
138#2640C2211yescharacteristic
139#2638C2214yes—
140#2637C2212yes—
141#2637C2212yes—
142#2636C2212yes—
143#2636C2212yes—
144#2635C2214yes—
145#2635C2214yes—
146#2634C2212yes—
147#2634C2212yes—
148#2633C2212yes—
149#2632C2212yes—
150#2632C2212yes—
151#2631C2212yes—
152#2630C2214yes—
153#2630C2214yes—
154#2628C2211yescharacteristic
155#2628C2211yescharacteristic
156#2628C2211yescharacteristic
157#2628C2211yescharacteristic
158#2620C2212yes—
159#2619C2212yes—
160#2616C2212yes—
161#2615C2212yes—
162#2611C2214yes—
163#2611C2212yes—
164#2611C2212yes—
165#2610C2214yes—
166#2610C2214yes—
167#2610C2212yes—
168#2610C2212yes—
169#2604C2214yes—
170#2604C2212yes—
171#2604C2212yes—
172#2604C2212yes—
173#2604C2212yes—
174#2603C2214yes—
175#2602C2214yes—
176#2602C2214yes—
177#2601C2214yes—
178#2601C2214yes—
179#2601C2214yes—
180#2601C2214yes—
181#2600C2214yes—
182#2600C2214yes—
183#2599C2212yes—
184#2599C2212yes—
185#2598C2212yes—
186#2598C2212yes—
187#2592C2212yes—
188#2584C2212yes—
189#2584C2212yes—
190#2568C2211yescharacteristic
191#2567C2211yescharacteristic
192#2563C2211yescharacteristic
193#2562C2212yes—
194#2562C2212yes—
195#2562C2212yes—
196#2558C2214yes—
197#2558C2214yes—
198#2556C2214yes—
199#2554C2214yes—
200#2542C2211yescharacteristic
201#2540C2212yes—
202#2540C2212yes—
203#2538C2212yes—
204#2538C2212yes—
205#2536C2212yes—
206#2536C2212yes—
207#2536C2211yescharacteristic
208#2536C2211yescharacteristic
209#2535C2211yescharacteristic
210#2535C2211yescharacteristic
211#2519C2214yes—
212#2506C2214yes—
213#2500C2212yes—
214#2499C2212yes—
215#2485C2212yes—
216#2485C2212yes—
217#2481C2214yes—
218#2479C2214yes—
219#2477C2214yes—
220#2469C2214yes—
221#2469C2214yes—
222#2467C2214yes—
223#2467C2214yes—
224#2465C2214yes—
225#2465C2214yes—
226#2463C2214yes—
227#2463C2214yes—
228#2462C2214yes—
229#2461C2214yes—
230#2460C2214yes—
231#2458C2214yes—
232#2456C2214yes—
233#2449C2214yes—
234#2445C2214yes—
235#2442C2212yes—
236#2441C2212yes—
237#2440C2212yes—
238#2439C2212yes—
239#2429C2212yes—
240#2429C2212yes—
241#2426C2212yes—
242#2426C2212yes—
243#2423C2212yes—
244#2423C2212yes—
245#2421C2212yes—
246#2421C2212yes—
247#2417C2212yes—
248#2416C2212yes—
249#2415C2212yes—
250#2415C2214yes—
251#2415C2214yes—
252#2414C2212yes—
253#2414C2214yes—
254#2409C2212yes—
255#2409C2212yes—
256#2407C2212yes—
257#2407C2212yes—
258#2399C2212yes—
259#2398C2212yes—
260#2398C2212yes—
261#2397C2212yes—
262#2392C2211yescharacteristic
263#2392C2211yescharacteristic
264#2392C2211yescharacteristic
265#2392C2211yescharacteristic
266#2392C2214yes—
267#2392C2214yes—
268#2388C2212yes—
269#2388C2212yes—
270#2363C2212yes—
271#2362C2212yes—
272#2361C2212yes—
273#2360C2212yes—
274#2356C2212yes—
275#2356C2211yescharacteristic
276#2356C2212yes—
277#2356C2211yescharacteristic
278#2354C2212yes—
279#2352C2212yes—
280#2352C2212yes—
281#2351C2211yescharacteristic
282#2351C2211yescharacteristic
283D4×C4⋊C4C2212yes—
284#2344C2214yes—
285#2344C2212yes—
286Q8×C22⋊C4C2212yes—
287#2324C2214yes—
288#2323C2214yes—
289#2323C2214yes—
290C4×#127C2212yes—
291C4×#124C2212yes—
292#2295C2212yes—
293#2295C2214yes—
294#2293C2214yes—
295#2293C2214yes—
296#2283C2212yes—
297#2283C2211yescharacteristic
298C42×Q8C2212yes—
299C4×#117C2211yescharacteristic
300C4×#117C2212yes—
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C23×Q8C2311yescharacteristic
304C23×Q8C2311yescharacteristic
305#559—216no—
306#557—216no—
307#557—28no—
308#556—28no—
309#556—28no—
310#556—232no—
311#556—28no—
312#556—216no—
313#554—28no—
314#554—28no—
315#554—28no—
316#554—216no—
317#553—28no—
318#553—216no—
319#552—216no—
320#552—216no—
321#552—28no—
322#552—216no—
323D4×Q8—28no—
324#548—28no—
325#548—28no—
326#542—28no—
327#542—216no—
328#541—28no—
329#541—216no—
330#539—232no—
331#536—216no—
332#533—28no—
333#532—28no—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2314yes—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2311yescharacteristic
342C2×#127C2311yescharacteristic
343C2×#127C2312yes—
344#529—216no—
345#529—216no—
346#529—216no—
347#529—216no—
348#529—28no—
349#529—28no—
350C2×#126C2312yes—
351C2×#126C2312yes—
352C2×#126C2314yes—
353C2×#126C2312yes—
354C2×#126C2314yes—
355C2×#126C2311yescharacteristic
356C2×#126C2311yescharacteristic
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2314yes—
360C2×#126C2314yes—
361C2×#126C2312yes—
362C2×#126C2312yes—
363C2×#126C2312yes—
364C2×#125C2311yescharacteristic
365C2×#125C2312yes—
366C2×#125C2312yes—
367C2×#125C2312yes—
368C2×#125C2312yes—
369C2×#125C2312yes—
370C2×#125C2311yescharacteristic
371C2×#125C2314yes—
372C2×#125C2314yes—
373C2×#125C2312yes—
374C2×#125C2311yescharacteristic
375C2×#125C2312yes—
376C2×#125C2312yes—
377C2×#125C2312yes—
378C2×#124C2312yes—
379C2×#124C2312yes—
380C2×#124C2311yescharacteristic
381C2×#124C2312yes—
382C2×#124C2312yes—
383C2×#124C2312yes—
384C2×#124C2311yescharacteristic
385C2×#124C2314yes—
386C2×#124C2311yescharacteristic
387C2×#124C2312yes—
388C2×#124C2312yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×#123C2311yescharacteristic
392C2×#123C2311yescharacteristic
393C2×#123C2312yes—
394C2×#123C2314yes—
395C2×#123C2312yes—
396C2×#123C2314yes—
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2311yescharacteristic
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2314yes—
421C2×C22⋊Q8C2314yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×#121C2311yescharacteristic
425C2×#121C2311yescharacteristic
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2311yescharacteristic
429C2×#121C2311yescharacteristic
430C2×#121C2312yes—
431C2×#121C2311yescharacteristic
432C2×#121C2312yes—
433C2×#121C2314yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436#520—28no—
437#520—216no—
438#519—28no—
439C2×C4×Q8D4116yescomplemented
440C2×C4×Q8C2311yescharacteristic
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2311yescharacteristic
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2314yes—
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2311yescharacteristic
460C2×C4×Q8C2312yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2314yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2314yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2312yes—
481C2×C4×D4C2314yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2314yes—
487C2×C4×D4C2314yes—
488C2×#117C2312yes—
489C2×#117C2314yes—
490C2×#117C2312yes—
491C2×#117C2312yes—
492C2×#117C2314yes—
493C2×#117C2312yes—
494C2×#117C2312yes—
495C2×#117C2311yescharacteristic
496C2×#117C2312yes—
497C2×#117C2311yescharacteristic
498C2×#117C2311yescharacteristic
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2312yes—
503C2×#117C2314yes—
504C22×C4⋊C4C2311yescharacteristic
505C22×C4⋊C4C2312yes—
506C22×C4⋊C4C2312yes—
507C22×C4⋊C4C2312yes—
508C22×C4⋊C4C2311yescharacteristic
509C22×C4⋊C4C2312yes—
510C22×C42C2312yes—
511C22×C42C2311yescharacteristic
512#400C2314yes—
513#400C2312yes—
514#400C2312yes—
515#400C2314yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2314yes—
520#400C2314yes—
521#400C2312yes—
522#400C2314yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2314yes—
528#399C2314yes—
529#399C2312yes—
530#399C2314yes—
531#399C2312yes—
532#399C2314yes—
533#398C2314yes—
534#398C2312yes—
535#398C2312yes—
536#398C2311yescharacteristic
537#398C2314yes—
538#398C2314yes—
539#398C2314yes—
540#398C2311yescharacteristic
541#398C2314yes—
542#398C2314yes—
543#398C2314yes—
544#398C2311yescharacteristic
545#398C2311yescharacteristic
546#398C2314yes—
547#398C2314yes—
548#398C2314yes—
549#397C2314yes—
550#397C2314yes—
551#397C2311yescharacteristic
552#397C2312yes—
553#397C2314yes—
554#397C2312yes—
555#397C2311yescharacteristic
556#397C2314yes—
557#397C2314yes—
558#397C2314yes—
559#397C2311yescharacteristic
560#397C2311yescharacteristic
561#397C2314yes—
562#396C2314yes—
563#396C2314yes—
564#396C2314yes—
565#396C2314yes—
566#396C2314yes—
567#396C2314yes—
568#396C2314yes—
569#396C2314yes—
570#396C2312yes—
571#396C2312yes—
572#396C2312yes—
573#396C2312yes—
574#396C2314yes—
575#396C2314yes—
576#396C2314yes—
577#396C2314yes—
578#395C2314yes—
579#395C2312yes—
580#395C2312yes—
581#395C2312yes—
582#395C2312yes—
583#395C2314yes—
584#395C2314yes—
585#395C2312yes—
586#395C2314yes—
587#395C2312yes—
588#395C2312yes—
589#395C2312yes—
590#395C2314yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#394C2311yescharacteristic
595#394C2312yes—
596#394C2314yes—
597#394C2312yes—
598#394C2314yes—
599#394C2314yes—
600#394C2314yes—
601#394C2311yescharacteristic
602#394C2314yes—
603#394C2312yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2312yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#394C2312yes—
613#394C2312yes—
614#394C2312yes—
615#394C2312yes—
616#394C2312yes—
617#394C2312yes—
618#394C2311yescharacteristic
619#394C2312yes—
620#394C2312yes—
621#394C2311yescharacteristic
622#394C2314yes—
623#394C2314yes—
624#394C2314yes—
625#393C2312yes—
626#393C2312yes—
627#393C2312yes—
628#393C2312yes—
629#393C2312yes—
630#393C2314yes—
631#393C2314yes—
632#393C2314yes—
633#393C2312yes—
634#393C2312yes—
635#393C2312yes—
636#393C2314yes—
637#392C2312yes—
638#392C2314yes—
639#392C2312yes—
640#392C2314yes—
641#392C2311yescharacteristic
642#392C2314yes—
643#392C2312yes—
644#392C2314yes—
645#392C2312yes—
646#392C2311yescharacteristic
647#392C2314yes—
648#392C2314yes—
649#392C2312yes—
650#392C2312yes—
651#392C2311yescharacteristic
652#392C2312yes—
653#392C2312yes—
654#392C2311yescharacteristic
655#392C2314yes—
656#391C2312yes—
657#391C2314yes—
658#391C2312yes—
659#391C2314yes—
660#391C2312yes—
661#391C2312yes—
662#391C2314yes—
663#391C2314yes—
664#391C2312yes—
665#390C2312yes—
666#390C2312yes—
667#390C2312yes—
668#390C2312yes—
669#390C2312yes—
670#390C2312yes—
671#390C2312yes—
672#390C2314yes—
673#390C2314yes—
674#390C2314yes—
675#390C2314yes—
676#390C2314yes—
677#390C2314yes—
678#390C2314yes—
679#390C2312yes—
680#390C2312yes—
681#390C2314yes—
682#390C2314yes—
683#389C2314yes—
684#389C2314yes—
685#389C2314yes—
686#389C2314yes—
687#389C2314yes—
688#389C2314yes—
689#389C2314yes—
690#389C2314yes—
691#389C2314yes—
692#389C2312yes—
693#389C2312yes—
694#389C2312yes—
695#389C2312yes—
696#389C2312yes—
697#389C2312yes—
698#389C2314yes—
699#389C2314yes—
700#389C2314yes—
701#389C2314yes—
702#389C2314yes—
703#389C2314yes—
704#389C2314yes—
705#389C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2312yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2312yes—
730#388C2312yes—
731#388C2314yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#388C2314yes—
736#388C2314yes—
737#388C2314yes—
738#388C2314yes—
739#388C2314yes—
740#388C2314yes—
741#388C2312yes—
742#388C2314yes—
743#388C2314yes—
744#388C2314yes—
745#388C2314yes—
746#387C2314yes—
747#387C2314yes—
748#387C2314yes—
749#387C2314yes—
750#387C2314yes—
751#387C2314yes—
752#387C2314yes—
753#387C2314yes—
754#387C2314yes—
755#387C2314yes—
756#387C2314yes—
757#387C2314yes—
758#387C2314yes—
759#387C2314yes—
760#387C2314yes—
761#387C2314yes—
762#387C2314yes—
763#387C2314yes—
764#387C2314yes—
765#387C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2314yes—
773#386C2314yes—
774#386C2314yes—
775#386C2314yes—
776#386C2314yes—
777#386C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#384C2312yes—
789#384C2312yes—
790#384C2312yes—
791#383C2312yes—
792#383C2312yes—
793#383C2312yes—
794#382C2312yes—
795#382C2312yes—
796#382C2312yes—
797#382C2312yes—
798#382C2311yescharacteristic
799#382C2311yescharacteristic
800#382C2312yes—
801#381C2312yes—
802#381C2314yes—
803#380C2314yes—
804#380C2314yes—
805#380C2312yes—
806#380C2312yes—
807#380C2312yes—
808#380C2312yes—
809#380C2312yes—
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#380C2314yes—
814#380C2312yes—
815#380C2314yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2314yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2314yes—
826C4×C4⋊C4C2314yes—
827C4×C4⋊C4C2314yes—
828C4×C4⋊C4C2314yes—
829C4×C4⋊C4C2314yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2312yes—
843#376C2314yes—
844#376C2312yes—
845#376C2311yescharacteristic
846#376C2311yescharacteristic
847#376C2312yes—
848#376C2312yes—
849C43C2312yes—
850C43C2314yes—
851C2×#41—24no—
852C2×#41—28no—
853C2×#41—44no—
854C2×#41—44no—
855C2×#41—42no—
856C2×#41—42no—
857C22×Q8—24no—
858C22×Q8—42no—
859C22×Q8—42no—
860C22×Q8—42no—
861C22×Q8—42no—
862C22×Q8C2×D418yes—
863C22×Q8C2411yescharacteristic
864C22×Q8C2411yescharacteristic
865C22×Q8C2411yescharacteristic
866C22×Q8C2412yes—
867C22×Q8C2412yes—
868C22×Q8C2412yes—
869C22×Q8C2412yes—
870C22×Q8C2412yes—
871C22×Q8C2411yescharacteristic
872C22×Q8C2412yes—
873C22×D4C2411yescharacteristic
874C22×D4C2411yescharacteristic
875C22×D4C2412yes—
876C22×D4C2411yescharacteristic
877C22×D4C2411yescharacteristic
878C22×D4C2411yescharacteristic
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2411yescharacteristic
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2414yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2414yes—
892C23×C4C2411yescharacteristic
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2411yescharacteristic
896C23×C4C2411yescharacteristic
897C23×C4C2412yes—
898C23×C4C2414yes—
899C23×C4C2412yes—
900C23×C4C2414yes—
901C23×C4C2412yes—
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2411yescharacteristic
906C23×C4C2412yes—
907C23×C4C2411yescharacteristic
908C4⋊Q8—216no—
909C4⋊Q8—24no—
910C4⋊Q8—28no—
911C4⋊Q8—24no—
912C4⋊Q8—28no—
913C4⋊Q8—24no—
914C4⋊Q8—24no—
915C4⋊Q8—24no—
916#127—24no—
917#127—44no—
918#126—216no—
919#126—216no—
920#126—28no—
921#126—28no—
922#126—28no—
923#126—28no—
924#126—28no—
925#126—28no—
926#126—28no—
927#126—24no—
928#126—216no—
929#126—216no—
930#126—28no—
931#126—24no—
932#125—216no—
933#125—216no—
934#125—28no—
935#125—28no—
936#125—28no—
937#125—24no—
938#125—28no—
939#125—28no—
940#125—24no—
941#125—28no—
942#125—24no—
943#125—28no—
944#125—28no—
945#125—28no—
946#124—216no—
947#124—24no—
948#124—28no—
949#124—28no—
950#124—24no—
951#124—28no—
952#124—24no—
953#124—28no—
954#124—28no—
955#124—28no—
956#124—44no—
957#123—24no—
958#123—24no—
959#123—28no—
960#123—216no—
961#123—216no—
962#123—216no—
963#123—216no—
964#123—28no—
965#123—28no—
966#123—28no—
967C22⋊Q8—28no—
968C22⋊Q8—28no—
969C22⋊Q8—28no—
970C22⋊Q8—28no—
971C22⋊Q8—24no—
972C22⋊Q8—28no—
973C22⋊Q8—24no—
974C22⋊Q8—28no—
975C22⋊Q8—28no—
976C22⋊Q8—24no—
977C22⋊Q8—28no—
978C22⋊Q8—28no—
979C22⋊Q8—24no—
980C22⋊Q8—28no—
981C22⋊Q8—216no—
982C22⋊Q8—216no—
983C22⋊Q8—24no—
984C22⋊Q8—28no—
985C22⋊Q8—28no—
986C22⋊Q8—28no—
987C22⋊Q8—28no—
988C22⋊Q8—48no—
989C22⋊Q8—48no—
990C22⋊Q8—44no—
991C22⋊Q8—44no—
992#121—24no—
993#121—24no—
994#121—24no—
995#121—28no—
996#121—28no—
997#121—24no—
998#121—28no—
999#121—24no—
1000#121—28no—
1001#121—48no—
1002#121—44no—
1003#121—44no—
1004C4×Q8—24no—
1005C4×Q8—24no—
1006C4×Q8—24no—
1007C4×Q8—28no—
1008C4×Q8—216no—
1009C4×Q8—24no—
1010C4×Q8—28no—
1011C4×Q8—28no—
1012C4×Q8—28no—
1013C4×Q8—28no—
1014C4×Q8—24no—
1015C4×Q8—28no—
1016C4×Q8—28no—
1017C4×Q8—44no—
1018C4×Q8—44no—
1019C4×Q8C2×D418yes—
1020C4×Q8C2×D418yes—
1021C4×Q8C2×D4116yes—
1022C4×Q8C2×D418yes—
1023C4×Q8C2×D418yes—
1024C4×Q8C2×D4116yes—
1025C4×D4—216no—
1026C4×D4—216no—
1027C4×D4—24no—
1028C4×D4—28no—
1029C4×D4—24no—
1030C4×D4—28no—
1031C4×D4—28no—
1032C4×D4—28no—
1033C4×D4—28no—
1034C4×D4—24no—
1035C4×D4—28no—
1036C4×D4—216no—
1037C4×D4—24no—
1038C4×D4—28no—
1039C4×D4—28no—
1040C4×D4—24no—
1041C4×D4—28no—
1042C4×D4—28no—
1043C4×D4—28no—
1044C4×D4—24no—
1045C4×D4—24no—
1046C4×D4—48no—
1047C4×D4—48no—
1048C4×D4—44no—
1049C4×D4—44no—
1050C4×D4—44no—
1051C4×D4—44no—
1052#117—28no—
1053#117—24no—
1054#117—28no—
1055#117—28no—
1056#117—28no—
1057#117—24no—
1058#117—28no—
1059#117—24no—
1060#117—28no—
1061#117—216no—
1062#117—28no—
1063#117—28no—
1064#117—216no—
1065#117—28no—
1066#117—48no—
1067#117—44no—
1068C2×C4⋊C4—28no—
1069C2×C4⋊C4—28no—
1070C2×C4⋊C4—24no—
1071C2×C4⋊C4—28no—
1072C2×C4⋊C4C2×D418yes—
1073C2×C4⋊C4C2×D4116yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2411yescharacteristic
1148C2×C22⋊C4C2411yescharacteristic
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2411yescharacteristic
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2411yescharacteristic
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2411yescharacteristic
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2411yescharacteristic
1167C2×C22⋊C4C2411yescharacteristic
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2411yescharacteristic
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2411yescharacteristic
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2411yescharacteristic
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C42C2×D4116yes—
1216C2×C42C2×D418yes—
1217C2×C42C2414yes—
1218C2×C42C2412yes—
1219C2×C42C2412yes—
1220C2×C42C2414yes—
1221C2×C42C2412yes—
1222C2×C42C2411yescharacteristic
1223C2×C42C2412yes—
1224C2×C42C2414yes—
1225C2×C42C2411yescharacteristic
1226C2×C42C2414yes—
1227C2×C42C2412yes—
1228C2×C42C2412yes—
1229C2×C42C2412yes—
1230C2×C42C2412yes—
1231C2×C42C2414yes—
1232C2×C42C2412yes—
1233C2×C42C2414yes—
1234C2×C42C2414yes—
1235C2×C42C2412yes—
1236C2×C42C2412yes—
1237C2×C42C2414yes—
1238C2×C42C2412yes—
1239C2×C42C2411yescharacteristic
1240C2×C42C2412yes—
1241C2×C42C2412yes—
1242C2×C42C2411yescharacteristic
1243C2×C42C2411yescharacteristic
1244C2×C42C2412yes—
1245C2×C42C2411yescharacteristic
1246#95C2411yescharacteristic
1247#95C2411yescharacteristic
1248#95C2411yescharacteristic
1249#95C2412yes—
1250#95C2412yes—
1251#95C2411yescharacteristic
1252#95C2414yes—
1253#95C2414yes—
1254#95C2412yes—
1255#95C2412yes—
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#95C2412yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294C24C2512yes—
1295C24C2512yes—
1296C24C2512yes—
1297C24C2511yescharacteristic
1298C24C2511yescharacteristic
1299C24C2511yescharacteristic
1300#41—432no—
1301#41—416no—
1302C2×Q8—24no—
1303C2×Q8—24no—
1304C2×Q8—22no—
1305C2×Q8—24no—
1306C2×Q8—24no—
1307C2×Q8—24no—
1308C2×Q8—22no—
1309C2×Q8—22no—
1310C2×Q8—22no—
1311C2×Q8—22no—
1312C2×Q8—22no—
1313C2×Q8—22no—
1314C2×Q8—22no—
1315C2×Q8—42no—
1316C2×Q8—42no—
1317C2×Q8—42no—
1318C2×Q8—42no—
1319C2×Q8—44no—
1320C2×Q8—42no—
1321C2×Q8—42no—
1322C2×Q8—44no—
1323C2×Q8—44no—
1324C2×Q8—42no—
1325C2×Q8—416no—
1326C2×Q8—416no—
1327C2×Q8C22×D414yes—
1328C2×Q8C22×D414yes—
1329C2×Q8C22×D418yes—
1330C2×D4—22no—
1331C2×D4—24no—
1332C2×D4—22no—
1333C2×D4—24no—
1334C2×D4—24no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—24no—
1338C2×D4—22no—
1339C2×D4—24no—
1340C2×D4—24no—
1341C2×D4—22no—
1342C2×D4—24no—
1343C2×D4—24no—
1344C2×D4—22no—
1345C2×D4—22no—
1346C2×D4—24no—
1347C2×D4—42no—
1348C2×D4—42no—
1349C2×D4—42no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4—42no—
1353C2×D4—44no—
1354C2×D4—42no—
1355C2×D4—42no—
1356C2×D4—42no—
1357C2×D4—42no—
1358C2×D4—42no—
1359C2×D4—42no—
1360C2×D4—42no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—44no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—44no—
1375C2×D4—42no—
1376C2×D4—42no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—24no—
1383C22×C4—24no—
1384C22×C4—24no—
1385C22×C4—22no—
1386C22×C4—24no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—24no—
1393C22×C4—24no—
1394C22×C4—24no—
1395C22×C4—24no—
1396C22×C4—28no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—28no—
1401C22×C4—44no—
1402C22×C4—42no—
1403C22×C4—42no—
1404C22×C4—42no—
1405C22×C4—42no—
1406C22×C4—42no—
1407C22×C4—42no—
1408C22×C4—42no—
1409C22×C4—42no—
1410C22×C4—44no—
1411C22×C4—44no—
1412C22×C4—44no—
1413C22×C4—44no—
1414C22×C4—44no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4C22×D414yes—
1418C22×C4C22×D414yes—
1419C22×C4C22×D418yes—
1420C22×C4C22×D414yes—
1421C22×C4C22×D418yes—
1422C22×C4C2512yes—
1423C22×C4C2514yes—
1424C22×C4C2514yes—
1425C22×C4C2512yes—
1426C22×C4C2512yes—
1427C22×C4C2514yes—
1428C22×C4C2511yescharacteristic
1429C22×C4C2511yescharacteristic
1430C22×C4C2512yes—
1431C22×C4C2511yescharacteristic
1432C22×C4C2511yescharacteristic
1433C22×C4C2512yes—
1434C22×C4C2512yes—
1435C22×C4C2512yes—
1436C22×C4C2511yescharacteristic
1437C22×C4C2514yes—
1438C22×C4C2512yes—
1439C22×C4C2511yescharacteristic
1440C22×C4C2511yescharacteristic
1441C22×C4C2511yescharacteristic
1442C22×C4C2512yes—
1443C22×C4C2512yes—
1444C22×C4C2511yescharacteristic
1445C22×C4C2511yescharacteristic
1446C22×C4C2512yes—
1447C22×C4C2511yescharacteristic
1448C22×C4C2512yes—
1449C22×C4C2512yes—
1450C22×C4C2511yescharacteristic
1451C4⋊C4—24no—
1452C4⋊C4—24no—
1453C4⋊C4—22no—
1454C4⋊C4—24no—
1455C4⋊C4—22no—
1456C4⋊C4—28no—
1457C4⋊C4—28no—
1458C4⋊C4—24no—
1459C4⋊C4—22no—
1460C4⋊C4—28no—
1461C4⋊C4—24no—
1462C4⋊C4—22no—
1463C4⋊C4—24no—
1464C4⋊C4—22no—
1465C4⋊C4—24no—
1466C4⋊C4—22no—
1467C4⋊C4—24no—
1468C4⋊C4—22no—
1469C4⋊C4—24no—
1470C4⋊C4—24no—
1471C4⋊C4—24no—
1472C4⋊C4—28no—
1473C4⋊C4—28no—
1474C4⋊C4—24no—
1475C4⋊C4—22no—
1476C4⋊C4—22no—
1477C4⋊C4—24no—
1478C4⋊C4—24no—
1479C4⋊C4—22no—
1480C4⋊C4—22no—
1481C4⋊C4—24no—
1482C4⋊C4—24no—
1483C4⋊C4—24no—
1484C4⋊C4—24no—
1485C4⋊C4—22no—
1486C4⋊C4—24no—
1487C4⋊C4—22no—
1488C4⋊C4—24no—
1489C4⋊C4—22no—
1490C4⋊C4—28no—
1491C4⋊C4—28no—
1492C4⋊C4—28no—
1493C4⋊C4—24no—
1494C4⋊C4—28no—
1495C4⋊C4—24no—
1496C4⋊C4—28no—
1497C4⋊C4—24no—
1498C4⋊C4—24no—
1499C4⋊C4—44no—
1500C4⋊C4—44no—
1501C4⋊C4—44no—
1502C4⋊C4—44no—
1503C4⋊C4—44no—
1504C4⋊C4—42no—
1505C4⋊C4—42no—
1506C4⋊C4—42no—
1507C4⋊C4—44no—
1508C4⋊C4—42no—
1509C4⋊C4—42no—
1510C4⋊C4—44no—
1511C4⋊C4—44no—
1512C4⋊C4—44no—
1513C4⋊C4—44no—
1514C4⋊C4—44no—
1515C4⋊C4—44no—
1516C4⋊C4C22×D414yes—
1517C4⋊C4C22×D414yes—
1518C4⋊C4C22×D418yes—
1519C4⋊C4C22×D418yes—
1520C4⋊C4C22×D418yes—
1521C4⋊C4C22×D418yes—
1522C4⋊C4C22×D418yes—
1523C22⋊C4—28no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—24no—
1527C22⋊C4—24no—
1528C22⋊C4—22no—
1529C22⋊C4—22no—
1530C22⋊C4—24no—
1531C22⋊C4—24no—
1532C22⋊C4—24no—
1533C22⋊C4—22no—
1534C22⋊C4—24no—
1535C22⋊C4—22no—
1536C22⋊C4—28no—
1537C22⋊C4—28no—
1538C22⋊C4—24no—
1539C22⋊C4—22no—
1540C22⋊C4—24no—
1541C22⋊C4—24no—
1542C22⋊C4—24no—
1543C22⋊C4—28no—
1544C22⋊C4—28no—
1545C22⋊C4—22no—
1546C22⋊C4—24no—
1547C22⋊C4—24no—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—24no—
1551C22⋊C4—22no—
1552C22⋊C4—28no—
1553C22⋊C4—24no—
1554C22⋊C4—28no—
1555C22⋊C4—22no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—28no—
1560C22⋊C4—24no—
1561C22⋊C4—44no—
1562C22⋊C4—42no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4—42no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—44no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4—42no—
1575C22⋊C4—42no—
1576C22⋊C4—42no—
1577C22⋊C4—42no—
1578C22⋊C4—42no—
1579C22⋊C4—42no—
1580C22⋊C4—42no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C42—28no—
1593C42—28no—
1594C42—24no—
1595C42—24no—
1596C42—24no—
1597C42—24no—
1598C42—22no—
1599C42—28no—
1600C42—24no—
1601C42—22no—
1602C42—28no—
1603C42—24no—
1604C42—24no—
1605C42—24no—
1606C42—42no—
1607C42—42no—
1608C42—44no—
1609C42—44no—
1610C42—42no—
1611C42—44no—
1612C42—44no—
1613C42C22×D418yes—
1614C42C22×D414yes—
1615C42C22×D418yes—
1616C42C22×D418yes—
1617C42C22×D414yes—
1618C42C22×D414yes—
1619C42C22×D418yes—
1620C42C22×D414yes—
1621C23—22no—
1622C23—21no—
1623C23—21no—
1624C23—22no—
1625C23—22no—
1626C23—22no—
1627C23—22no—
1628C23—21no—
1629C23—21no—
1630C23—22no—
1631C23—24no—
1632C23—22no—
1633C23—22no—
1634C23—22no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—22no—
1640C23—22no—
1641C23—22no—
1642C23—22no—
1643C23—22no—
1644C23—22no—
1645C23—22no—
1646C23—22no—
1647C23—22no—
1648C23—22no—
1649C23—22no—
1650C23—22no—
1651C23—24no—
1652C23—22no—
1653C23—22no—
1654C23C23×D412yes—
1655C23C2611yescharacteristic
1656Q8—28no—
1657Q8—28no—
1658Q8—48no—
1659Q8—48no—
1660Q8—48no—
1661Q8—48no—
1662Q8—44no—
1663Q8—84no—
1664Q8—84no—
1665Q8—82no—
1666D4—44no—
1667D4—44no—
1668D4—48no—
1669D4—48no—
1670D4—48no—
1671D4—44no—
1672D4—48no—
1673D4—44no—
1674D4—48no—
1675D4—48no—
1676D4—44no—
1677D4—84no—
1678D4—84no—
1679D4—82no—
1680D4—84no—
1681D4—88no—
1682D4—84no—
1683D4—84no—
1684D4—164no—
1685C2×C4—22no—
1686C2×C4—24no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—24no—
1691C2×C4—22no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—28no—
1700C2×C4—24no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—22no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—22no—
1711C2×C4—24no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—24no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—24no—
1721C2×C4—24no—
1722C2×C4—24no—
1723C2×C4—22no—
1724C2×C4—24no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—24no—
1729C2×C4—24no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—24no—
1741C2×C4—24no—
1742C2×C4—22no—
1743C2×C4—24no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—24no—
1747C2×C4—24no—
1748C2×C4—48no—
1749C2×C4—44no—
1750C2×C4—44no—
1751C2×C4—48no—
1752C2×C4—48no—
1753C2×C4—48no—
1754C2×C4—44no—
1755C2×C4—44no—
1756C2×C4—48no—
1757C2×C4—48no—
1758C2×C4—84no—
1759C2×C4—88no—
1760C2×C4—84no—
1761C2×C4—88no—
1762C2×C4—84no—
1763C2×C4C23×D414yes—
1764C2×C4C23×D412yes—
1765C2×C4C23×D412yes—
1766C2×C4C23×D414yes—
1767C2×C4C23×D414yes—
1768C2×C4C23×D412yes—
1769C2×C4C23×D412yes—
1770C2×C4C23×D414yes—
1771C2×C4C23×D412yes—
1772C2×C4C23×D412yes—
1773C2×C4#58514yes—
1774C2×C4#58512yes—
1775C2×C4#58512yes—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—42no—
1780C22—42no—
1781C22—42no—
1782C22—42no—
1783C22—42no—
1784C22—41no—
1785C22—41no—
1786C22—42no—
1787C22—42no—
1788C22—41no—
1789C22—42no—
1790C22—41no—
1791C22—42no—
1792C22—42no—
1793C22—42no—
1794C22—42no—
1795C22—44no—
1796C22—42no—
1797C22—42no—
1798C22—42no—
1799C22—44no—
1800C22—42no—
1801C22—42no—
1802C22—42no—
1803C22—42no—
1804C22—42no—
1805C22—41no—
1806C22—42no—
1807C22—41no—
1808C22—42no—
1809C22—42no—
1810C22C24×D411yescharacteristic
1811C22C2×#58512yes—
1812C22C2×#58511yescharacteristic
1813C22C2×#58511yescharacteristic
1814C222−1+612yes—
1815C4—24no—
1816C4—24no—
1817C4—22no—
1818C4—22no—
1819C4—22no—
1820C4—22no—
1821C4—24no—
1822C4—22no—
1823C4—24no—
1824C4—24no—
1825C4—41no—
1826C4—44no—
1827C4—42no—
1828C4—41no—
1829C4—41no—
1830C4—42no—
1831C4—41no—
1832C4—44no—
1833C4—42no—
1834C4—44no—
1835C4—42no—
1836C4—44no—
1837C4—42no—
1838C4—41no—
1839C4—42no—
1840C4—42no—
1841C4—41no—
1842C4—42no—
1843C4#344914yes—
1844C2—42no—
1845C2—81no—
1846C2—82no—
1847C2—82no—
1848C2—82no—
1849C2—81no—
1850C2C2×#344911yescharacteristic
1851C2#6281211yescharacteristic
1852C2#6284811yescharacteristic
1853C2#6293412yes—
1854C2#6293612yes—
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×#3516C2semidirect
2. C2×#3507C2semidirect
3. #42882C2semidirect
4. #42878C2semidirect
5. #42796C2semidirect
6. #42794C2semidirect
7. #42790C2semidirect
8. #42786C2semidirect
9. #42388C2semidirect
10. #42313C2semidirect
11. #42154C2semidirect
12. #41956C2semidirect
13. #40523C2semidirect
14. #40522C2semidirect
15. #39955C2semidirect
16. #39950C2semidirect
17. #38435C2semidirect
18. #38431C2semidirect
19. #37560C2semidirect
20. #37558C2semidirect
21. #37550C2semidirect
22. #37541C2semidirect
23. #36270C2semidirect
24. #36268C2semidirect
25. #36030C2semidirect
26. #36019C2semidirect
27. #35752C2semidirect
28. #35738C2semidirect
29. #35701C2semidirect
30. #35688C2semidirect
31. #35212C2semidirect
32. #35201C2semidirect
33. #34643C2semidirect
34. #34624C2semidirect
35. #34128C2semidirect
439. C2×C4×Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35162
C2×#35072
#428822
#428782
#427962
#427942
#427902
#427862
#423882
#423132
#421542
#419562
#405232
#405222
#399552
#399502
#384352
#384312
#375602
#375582
#375502
#375412
#362702
#362682
#360302
#360192
#357522
#357382
#357012
#356882
#352122
#352012
#346432
#346242
#341282