Finite Group Databasebeta

← #7658407

Subgroups — #7658407

Order 512.

6690 conjugacy classes of subgroups.

The subgroup lattice has 1875 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3522C211yesmaximal, characteristic, complemented
2C2×#3516C211yesmaximal, characteristic, complemented
3#42883C212yesmaximal, complemented
4#42880C211yesmaximal, characteristic, complemented
5#42876C211yesmaximal, characteristic, complemented
6#42806C212yesmaximal, complemented
7#42805C212yesmaximal, complemented
8#42804C212yesmaximal, complemented
9#42793C211yesmaximal, characteristic, complemented
10#42789C211yesmaximal, characteristic, complemented
11#42389C212yesmaximal, complemented
12#42388C212yesmaximal, complemented
13#41957C212yesmaximal, complemented
14#41956C212yesmaximal, complemented
15#41943C214yesmaximal, complemented
16#41942C214yesmaximal, complemented
17#40599C214yesmaximal, complemented
18#40598C214yesmaximal, complemented
19#37621C211yesmaximal, characteristic, complemented
20#37616C211yesmaximal, characteristic, complemented
21#37558C212yesmaximal, complemented
22#37553C211yesmaximal, characteristic, complemented
23#37544C212yesmaximal, complemented
24#37543C212yesmaximal, complemented
25#36687C212yesmaximal, complemented
26#36684C211yesmaximal, characteristic, complemented
27#36041C211yesmaximal, characteristic, complemented
28#35844C211yesmaximal, characteristic, complemented
29#35787C212yesmaximal, complemented
30#35772C212yesmaximal, complemented
31#35768C212yesmaximal, complemented
32#35738C211yesmaximal, characteristic, complemented
33#35701C211yesmaximal, characteristic, complemented
34#35697C212yesmaximal, complemented
35#34187C211yesmaximal, characteristic, complemented
36#3522—216no—
37#3516—216no—
38C2×#559C2211yescharacteristic
39C2×#559C2212yes—
40C2×Q82C2211yescharacteristic
41C2×#557C2211yescharacteristic
42C2×#556C2211yescharacteristic
43C2×#556C2212yes—
44C2×#554C2211yescharacteristic
45C2×#554C2212yes—
46C2×#554C2211yescharacteristic
47C2×#554C2212yes—
48C2×#553C2212yes—
49C2×#553C2211yescharacteristic
50C2×#552C2211yescharacteristic
51C2×#552C2212yes—
52C2×#550C2211yescharacteristic
53C2×D4×Q8C2211yescharacteristic
54C2×#548C2211yescharacteristic
55C2×#548C2212yes—
56C2×#548C2211yescharacteristic
57C2×#547C2212yes—
58C2×#547C2214yes—
59C2×#542C2211yescharacteristic
60C2×#542C2212yes—
61C2×#542C2212yes—
62C2×#542C2214yes—
63C2×#541C2211yescharacteristic
64C2×#541C2212yes—
65C2×#532C2212yes—
66C2×#532C2211yescharacteristic
67C2×#529C2211yescharacteristic
68C2×#529C2212yes—
69C2×#529C2212yes—
70C2×#529C2211yescharacteristic
71C2×#529C2211yescharacteristic
72C2×#529C2212yes—
73C2×#520C2211yescharacteristic
74C2×#520C2212yes—
75C2×#519C2211yescharacteristic
76C22×C4×Q8C2211yescharacteristic
77#2823C2212yes—
78#2823C2212yes—
79#2822C2211yescharacteristic
80#2821C2212yes—
81#2821C2212yes—
82#2820C2214yes—
83#2820C2211yescharacteristic
84#2820C2211yescharacteristic
85#2819C2214yes—
86#2819C2211yescharacteristic
87#2818C2212yes—
88#2818C2212yes—
89#2816C2214yes—
90#2815C2214yes—
91#2814C2212yes—
92#2814C2211yescharacteristic
93#2814C2211yescharacteristic
94#2814C2212yes—
95#2813C2211yescharacteristic
96#2813C2212yes—
97#2813C2211yescharacteristic
98#2813C2212yes—
99#2813C2212yes—
100#2813C2212yes—
101#2813C2212yes—
102#2813C2212yes—
103#2733C2214yes—
104#2732C2214yes—
105#2731C2214yes—
106#2730C2214yes—
107#2730C2214yes—
108#2730C2214yes—
109#2729C2214yes—
110#2728C2214yes—
111#2716C2214yes—
112#2714C2214yes—
113#2713C2214yes—
114#2711C2214yes—
115#2696C2214yes—
116#2694C2214yes—
117#2692C2214yes—
118#2690C2214yes—
119#2677C2214yes—
120#2677C2214yes—
121#2676C2214yes—
122#2676C2214yes—
123#2674C2214yes—
124#2674C2214yes—
125#2673C2214yes—
126#2673C2214yes—
127#2664C2214yes—
128#2664C2212yes—
129#2663C2214yes—
130#2662C2214yes—
131#2662C2212yes—
132#2662C2212yes—
133#2662C2212yes—
134#2661C2214yes—
135#2658C2212yes—
136#2657C2212yes—
137#2642C2212yes—
138#2641C2212yes—
139#2638C2214yes—
140#2637C2214yes—
141#2636C2214yes—
142#2636C2212yes—
143#2636C2212yes—
144#2636C2214yes—
145#2636C2214yes—
146#2635C2214yes—
147#2635C2214yes—
148#2635C2214yes—
149#2634C2212yes—
150#2634C2212yes—
151#2633C2212yes—
152#2633C2212yes—
153#2632C2212yes—
154#2632C2212yes—
155#2631C2212yes—
156#2631C2212yes—
157#2630C2214yes—
158#2629C2212yes—
159#2628C2211yescharacteristic
160#2628C2211yescharacteristic
161#2620C2212yes—
162#2620C2212yes—
163#2620C2214yes—
164#2619C2211yescharacteristic
165#2619C2211yescharacteristic
166#2619C2212yes—
167#2616C2212yes—
168#2615C2212yes—
169#2611C2212yes—
170#2611C2212yes—
171#2610C2212yes—
172#2610C2212yes—
173#2609C2214yes—
174#2609C2214yes—
175#2604C2212yes—
176#2604C2212yes—
177#2603C2212yes—
178#2603C2212yes—
179#2602C2214yes—
180#2602C2214yes—
181#2601C2214yes—
182#2601C2214yes—
183#2601C2214yes—
184#2600C2214yes—
185#2600C2214yes—
186#2598C2212yes—
187#2598C2212yes—
188#2598C2212yes—
189#2598C2212yes—
190#2581C2211yescharacteristic
191#2580C2211yescharacteristic
192#2568C2211yescharacteristic
193#2566C2212yes—
194#2562C2212yes—
195#2560C2214yes—
196#2558C2214yes—
197#2556C2214yes—
198#2554C2214yes—
199#2551C2212yes—
200#2550C2212yes—
201#2548C2211yescharacteristic
202#2545C2214yes—
203#2544C2214yes—
204#2544C2212yes—
205#2542C2211yescharacteristic
206#2541C2211yescharacteristic
207#2541C2212yes—
208#2540C2212yes—
209#2540C2212yes—
210#2538C2212yes—
211#2537C2212yes—
212#2536C2211yescharacteristic
213#2535C2211yescharacteristic
214#2492C2212yes—
215#2491C2212yes—
216#2491C2212yes—
217#2490C2212yes—
218#2481C2214yes—
219#2477C2214yes—
220#2473C2214yes—
221#2471C2214yes—
222#2467C2214yes—
223#2465C2214yes—
224#2463C2214yes—
225#2463C2214yes—
226#2461C2214yes—
227#2461C2214yes—
228#2460C2214yes—
229#2458C2214yes—
230#2456C2214yes—
231#2456C2214yes—
232#2452C2214yes—
233#2449C2214yes—
234#2449C2214yes—
235#2448C2212yes—
236#2448C2212yes—
237#2448C2212yes—
238#2446C2212yes—
239#2445C2214yes—
240#2443C2214yes—
241#2443C2214yes—
242#2436C2212yes—
243#2432C2212yes—
244#2432C2214yes—
245#2431C2212yes—
246#2431C2212yes—
247#2431C2214yes—
248#2423C2212yes—
249#2423C2212yes—
250#2421C2212yes—
251#2421C2212yes—
252#2415C2212yes—
253#2414C2212yes—
254#2414C2212yes—
255#2414C2212yes—
256#2409C2212yes—
257#2407C2212yes—
258#2407C2212yes—
259#2407C2212yes—
260#2407C2214yes—
261#2398C2212yes—
262#2398C2212yes—
263#2397C2212yes—
264#2397C2212yes—
265#2396C2211yescharacteristic
266#2396C2211yescharacteristic
267#2396C2212yes—
268#2392C2212yes—
269#2392C2212yes—
270#2392C2212yes—
271#2392C2211yescharacteristic
272#2392C2211yescharacteristic
273#2392C2214yes—
274#2392C2214yes—
275#2388C2214yes—
276#2388C2214yes—
277#2367C2212yes—
278#2366C2212yes—
279#2363C2212yes—
280#2361C2212yes—
281#2361C2212yes—
282#2360C2212yes—
283#2356C2211yescharacteristic
284#2356C2211yescharacteristic
285#2356C2211yescharacteristic
286#2356C2211yescharacteristic
287#2356C2212yes—
288#2356C2212yes—
289#2355C2212yes—
290#2355C2212yes—
291#2355C2214yes—
292#2352C2212yes—
293D4×C4⋊C4C2212yes—
294#2313C2214yes—
295#2310C2212yes—
296#2285C2211yescharacteristic
297#2285C2211yescharacteristic
298#2283C2212yes—
299#2283C2212yes—
300#2274C2212yes—
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2314yes—
305C23×Q8C2311yescharacteristic
306C23×Q8C2311yescharacteristic
307#559—28no—
308#559—216no—
309Q82—28no—
310#557—28no—
311#556—28no—
312#556—216no—
313#554—28no—
314#554—216no—
315#554—28no—
316#554—216no—
317#553—216no—
318#553—28no—
319#552—28no—
320#552—216no—
321#550—28no—
322D4×Q8—28no—
323#548—28no—
324#548—216no—
325#548—28no—
326#547—216no—
327#547—232no—
328#542—28no—
329#542—216no—
330#542—216no—
331#542—232no—
332#541—28no—
333#541—216no—
334#532—216no—
335#532—28no—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2314yes—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2314yes—
345C2×#127C2312yes—
346C2×#127C2311yescharacteristic
347C2×#127C2312yes—
348C2×#127C2314yes—
349#529—28no—
350#529—216no—
351#529—216no—
352#529—28no—
353#529—28no—
354#529—216no—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2311yescharacteristic
360C2×#126C2311yescharacteristic
361C2×#126C2312yes—
362C2×#126C2312yes—
363C2×#126C2312yes—
364C2×#126C2314yes—
365C2×#126C2312yes—
366C2×#126C2312yes—
367C2×#125C2311yescharacteristic
368C2×#125C2312yes—
369C2×#125C2311yescharacteristic
370C2×#125C2311yescharacteristic
371C2×#125C2312yes—
372C2×#125C2312yes—
373C2×#125C2312yes—
374C2×#125C2312yes—
375C2×#125C2312yes—
376C2×#125C2312yes—
377C2×#125C2311yescharacteristic
378C2×#124C2312yes—
379C2×#124C2311yescharacteristic
380C2×#124C2311yescharacteristic
381C2×#124C2314yes—
382C2×#124C2312yes—
383C2×#124C2312yes—
384C2×#124C2311yescharacteristic
385C2×#124C2312yes—
386C2×#124C2311yescharacteristic
387C2×#124C2312yes—
388C2×#124C2312yes—
389C2×#124C2314yes—
390C2×#124C2312yes—
391C2×#124C2314yes—
392C2×#124C2314yes—
393C2×#123C2314yes—
394C2×#123C2312yes—
395C2×#123C2311yescharacteristic
396C2×#123C2311yescharacteristic
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×#123C2314yes—
400C2×#123C2314yes—
401C2×#123C2314yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2314yes—
419C2×C22⋊Q8C2314yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2314yes—
425C2×C22⋊Q8C2314yes—
426C2×#121C2314yes—
427C2×#121C2311yescharacteristic
428C2×#121C2311yescharacteristic
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2311yescharacteristic
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2314yes—
436C2×#121C2312yes—
437C2×#121C2311yescharacteristic
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2314yes—
442C2×#121C2314yes—
443#520—28no—
444#520—216no—
445#519—28no—
446C2×C4×Q8D4116yescomplemented
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2311yescharacteristic
460C2×C4×Q8C2312yes—
461C2×C4×Q8C2311yescharacteristic
462C2×C4×Q8C2311yescharacteristic
463C2×C4×Q8C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2314yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2314yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2312yes—
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2314yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2314yes—
491C2×C4×D4C2314yes—
492C2×C4×D4C2314yes—
493C2×C4×D4C2314yes—
494C2×#117C2312yes—
495C2×#117C2312yes—
496C2×#117C2314yes—
497C2×#117C2312yes—
498C2×#117C2311yescharacteristic
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2311yescharacteristic
502C2×#117C2311yescharacteristic
503C2×#117C2312yes—
504C2×#117C2312yes—
505C2×#117C2312yes—
506C2×#117C2312yes—
507C22×C4⋊C4C2311yescharacteristic
508C22×C4⋊C4C2312yes—
509C22×C4⋊C4C2314yes—
510C22×C4⋊C4C2312yes—
511C22×C4⋊C4C2312yes—
512C22×C4⋊C4C2311yescharacteristic
513C22×C42C2312yes—
514C22×C42C2311yescharacteristic
515#400C2312yes—
516#400C2312yes—
517#400C2311yescharacteristic
518#400C2312yes—
519#400C2312yes—
520#400C2311yescharacteristic
521#400C2312yes—
522#400C2312yes—
523#400C2314yes—
524#400C2314yes—
525#400C2314yes—
526#400C2314yes—
527#399C2314yes—
528#399C2314yes—
529#399C2311yescharacteristic
530#399C2311yescharacteristic
531#399C2312yes—
532#399C2312yes—
533#399C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2312yes—
537#399C2314yes—
538#399C2314yes—
539#399C2314yes—
540#399C2314yes—
541#398C2312yes—
542#398C2314yes—
543#398C2314yes—
544#398C2312yes—
545#398C2311yescharacteristic
546#398C2311yescharacteristic
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2314yes—
553#398C2312yes—
554#398C2314yes—
555#398C2314yes—
556#398C2314yes—
557#397C2314yes—
558#397C2311yescharacteristic
559#397C2311yescharacteristic
560#397C2312yes—
561#397C2314yes—
562#397C2314yes—
563#397C2314yes—
564#397C2314yes—
565#397C2312yes—
566#397C2314yes—
567#397C2312yes—
568#397C2312yes—
569#397C2314yes—
570#396C2312yes—
571#396C2314yes—
572#396C2312yes—
573#396C2312yes—
574#396C2312yes—
575#396C2312yes—
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2312yes—
580#396C2312yes—
581#396C2312yes—
582#396C2312yes—
583#396C2312yes—
584#396C2312yes—
585#396C2312yes—
586#396C2314yes—
587#396C2314yes—
588#396C2314yes—
589#396C2314yes—
590#396C2314yes—
591#396C2314yes—
592#395C2314yes—
593#395C2314yes—
594#395C2311yescharacteristic
595#395C2311yescharacteristic
596#395C2312yes—
597#395C2312yes—
598#395C2312yes—
599#395C2312yes—
600#395C2314yes—
601#395C2314yes—
602#394C2314yes—
603#394C2312yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2312yes—
610#394C2312yes—
611#394C2311yescharacteristic
612#394C2314yes—
613#394C2314yes—
614#394C2312yes—
615#394C2312yes—
616#394C2312yes—
617#394C2312yes—
618#394C2312yes—
619#394C2314yes—
620#394C2314yes—
621#394C2314yes—
622#394C2311yescharacteristic
623#394C2312yes—
624#394C2312yes—
625#394C2312yes—
626#394C2312yes—
627#394C2312yes—
628#394C2312yes—
629#394C2314yes—
630#394C2314yes—
631#394C2314yes—
632#394C2312yes—
633#394C2314yes—
634#394C2314yes—
635#394C2312yes—
636#394C2312yes—
637#394C2314yes—
638#394C2314yes—
639#394C2314yes—
640#394C2314yes—
641#394C2312yes—
642#394C2314yes—
643#394C2314yes—
644#393C2314yes—
645#393C2314yes—
646#393C2314yes—
647#393C2314yes—
648#393C2311yescharacteristic
649#393C2311yescharacteristic
650#393C2312yes—
651#393C2312yes—
652#393C2312yes—
653#393C2312yes—
654#393C2314yes—
655#393C2314yes—
656#392C2311yescharacteristic
657#392C2314yes—
658#392C2314yes—
659#392C2312yes—
660#392C2312yes—
661#392C2312yes—
662#392C2314yes—
663#392C2314yes—
664#392C2311yescharacteristic
665#392C2312yes—
666#392C2314yes—
667#392C2314yes—
668#392C2312yes—
669#392C2312yes—
670#392C2314yes—
671#392C2314yes—
672#392C2314yes—
673#392C2314yes—
674#392C2312yes—
675#392C2312yes—
676#392C2314yes—
677#392C2314yes—
678#392C2314yes—
679#392C2312yes—
680#392C2314yes—
681#392C2314yes—
682#392C2312yes—
683#391C2314yes—
684#391C2312yes—
685#391C2312yes—
686#391C2312yes—
687#391C2312yes—
688#391C2314yes—
689#391C2314yes—
690#391C2312yes—
691#391C2314yes—
692#391C2312yes—
693#391C2314yes—
694#390C2314yes—
695#390C2312yes—
696#390C2312yes—
697#390C2312yes—
698#390C2314yes—
699#390C2314yes—
700#390C2314yes—
701#390C2314yes—
702#390C2312yes—
703#390C2312yes—
704#390C2312yes—
705#390C2314yes—
706#390C2314yes—
707#390C2314yes—
708#390C2314yes—
709#390C2314yes—
710#389C2312yes—
711#389C2312yes—
712#389C2314yes—
713#389C2314yes—
714#389C2314yes—
715#389C2314yes—
716#389C2314yes—
717#389C2312yes—
718#389C2312yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#388C2314yes—
736#388C2314yes—
737#388C2314yes—
738#388C2314yes—
739#388C2314yes—
740#388C2314yes—
741#388C2314yes—
742#388C2314yes—
743#388C2314yes—
744#387C2314yes—
745#387C2314yes—
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#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
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#386C2314yes—
779#386C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2314yes—
791#385C2314yes—
792#385C2314yes—
793#385C2314yes—
794#385C2314yes—
795#384C2312yes—
796#384C2312yes—
797#384C2312yes—
798#383C2312yes—
799#383C2312yes—
800#383C2312yes—
801#383C2312yes—
802#382C2314yes—
803#382C2311yescharacteristic
804#382C2311yescharacteristic
805#382C2312yes—
806#382C2311yescharacteristic
807#382C2311yescharacteristic
808#382C2314yes—
809#381C2314yes—
810#381C2314yes—
811#380C2314yes—
812#380C2314yes—
813#380C2312yes—
814#380C2312yes—
815#380C2312yes—
816#380C2312yes—
817#380C2312yes—
818#380C2312yes—
819#380C2311yescharacteristic
820#380C2311yescharacteristic
821#380C2312yes—
822C4×C4⋊C4C2314yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2314yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2314yes—
831C4×C4⋊C4C2314yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2311yescharacteristic
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2312yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2314yes—
847#376C2312yes—
848#376C2312yes—
849#376C2312yes—
850#376C2312yes—
851C2×#41—24no—
852C2×#41—28no—
853C2×#41—28no—
854C2×#41—216no—
855C2×#41—44no—
856C2×#41—42no—
857C2×#41—42no—
858C2×#41—44no—
859C2×#41—84no—
860C2×#41—84no—
861C2×#41—84no—
862C22×Q8—24no—
863C22×Q8—42no—
864C22×Q8—42no—
865C22×Q8—42no—
866C22×Q8—42no—
867C22×Q8C2×D418yes—
868C22×Q8C2411yescharacteristic
869C22×Q8C2411yescharacteristic
870C22×Q8C2411yescharacteristic
871C22×Q8C2411yescharacteristic
872C22×Q8C2412yes—
873C22×Q8C2411yescharacteristic
874C22×Q8C2412yes—
875C22×Q8C2412yes—
876C22×Q8C2414yes—
877C22×Q8C2412yes—
878C22×D4C2411yescharacteristic
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2411yescharacteristic
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2411yescharacteristic
885C22×D4C2412yes—
886C22×D4C2414yes—
887C22×D4C2411yescharacteristic
888C22×D4C2412yes—
889C22×D4C2414yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2414yes—
893C22×D4C2412yes—
894C22×D4C2414yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2412yes—
898C22×D4C2414yes—
899C22×D4C2414yes—
900C23×C4C2412yes—
901C23×C4C2411yescharacteristic
902C23×C4C2411yescharacteristic
903C23×C4C2411yescharacteristic
904C23×C4C2412yes—
905C23×C4C2412yes—
906C23×C4C2412yes—
907C23×C4C2414yes—
908C23×C4C2412yes—
909C23×C4C2414yes—
910C23×C4C2414yes—
911C23×C4C2414yes—
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2411yescharacteristic
915C23×C4C2412yes—
916C23×C4C2411yescharacteristic
917C4⋊Q8—24no—
918C4⋊Q8—28no—
919C4⋊Q8—28no—
920C4⋊Q8—216no—
921C4⋊Q8—24no—
922C4⋊Q8—28no—
923C4⋊Q8—24no—
924C4⋊Q8—28no—
925C4⋊Q8—84no—
926#127—24no—
927#127—28no—
928#127—44no—
929#127—84no—
930#126—28no—
931#126—28no—
932#126—28no—
933#126—28no—
934#126—28no—
935#126—28no—
936#126—28no—
937#126—216no—
938#126—28no—
939#126—24no—
940#126—28no—
941#126—24no—
942#125—28no—
943#125—28no—
944#125—28no—
945#125—24no—
946#125—28no—
947#125—24no—
948#125—28no—
949#125—24no—
950#125—28no—
951#125—28no—
952#125—24no—
953#124—24no—
954#124—28no—
955#124—28no—
956#124—216no—
957#124—24no—
958#124—28no—
959#124—24no—
960#124—28no—
961#124—28no—
962#124—24no—
963#124—28no—
964#124—216no—
965#124—44no—
966#124—84no—
967#124—84no—
968#123—24no—
969#123—24no—
970#123—28no—
971#123—216no—
972#123—28no—
973#123—216no—
974#123—216no—
975#123—216no—
976#123—28no—
977#123—28no—
978#123—28no—
979C22⋊Q8—24no—
980C22⋊Q8—28no—
981C22⋊Q8—28no—
982C22⋊Q8—216no—
983C22⋊Q8—24no—
984C22⋊Q8—28no—
985C22⋊Q8—24no—
986C22⋊Q8—24no—
987C22⋊Q8—28no—
988C22⋊Q8—24no—
989C22⋊Q8—28no—
990C22⋊Q8—24no—
991C22⋊Q8—28no—
992C22⋊Q8—216no—
993C22⋊Q8—216no—
994C22⋊Q8—216no—
995C22⋊Q8—28no—
996C22⋊Q8—28no—
997C22⋊Q8—28no—
998C22⋊Q8—44no—
999C22⋊Q8—84no—
1000C22⋊Q8—84no—
1001#121—24no—
1002#121—28no—
1003#121—24no—
1004#121—28no—
1005#121—24no—
1006#121—28no—
1007#121—28no—
1008#121—216no—
1009#121—28no—
1010#121—216no—
1011#121—24no—
1012#121—28no—
1013#121—44no—
1014#121—44no—
1015#121—44no—
1016#121—84no—
1017#121—84no—
1018C4×Q8—24no—
1019C4×Q8—28no—
1020C4×Q8—24no—
1021C4×Q8—24no—
1022C4×Q8—28no—
1023C4×Q8—28no—
1024C4×Q8—24no—
1025C4×Q8—24no—
1026C4×Q8—28no—
1027C4×Q8—24no—
1028C4×Q8—28no—
1029C4×Q8C2×D418yes—
1030C4×Q8C2×D418yes—
1031C4×Q8C2×D418yes—
1032C4×Q8C2×D4116yes—
1033C4×Q8C2×D418yes—
1034C4×Q8C2×D4116yes—
1035C4×D4—28no—
1036C4×D4—216no—
1037C4×D4—24no—
1038C4×D4—28no—
1039C4×D4—24no—
1040C4×D4—28no—
1041C4×D4—28no—
1042C4×D4—28no—
1043C4×D4—28no—
1044C4×D4—28no—
1045C4×D4—216no—
1046C4×D4—24no—
1047C4×D4—28no—
1048C4×D4—28no—
1049C4×D4—24no—
1050C4×D4—216no—
1051C4×D4—28no—
1052C4×D4—24no—
1053C4×D4—28no—
1054C4×D4—24no—
1055C4×D4—28no—
1056C4×D4—28no—
1057C4×D4—28no—
1058C4×D4—28no—
1059C4×D4—44no—
1060C4×D4—44no—
1061C4×D4—84no—
1062C4×D4—84no—
1063C4×D4—84no—
1064C4×D4—84no—
1065#117—24no—
1066#117—28no—
1067#117—28no—
1068#117—24no—
1069#117—28no—
1070#117—24no—
1071#117—216no—
1072#117—28no—
1073#117—28no—
1074#117—28no—
1075#117—28no—
1076#117—44no—
1077#117—44no—
1078C2×C4⋊C4—28no—
1079C2×C4⋊C4—216no—
1080C2×C4⋊C4—24no—
1081C2×C4⋊C4—28no—
1082C2×C4⋊C4C2×D418yes—
1083C2×C4⋊C4C2×D4116yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2411yescharacteristic
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2411yescharacteristic
1156C2×C22⋊C4C2411yescharacteristic
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2411yescharacteristic
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2411yescharacteristic
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2411yescharacteristic
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2411yescharacteristic
1172C2×C22⋊C4C2411yescharacteristic
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2411yescharacteristic
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2411yescharacteristic
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2411yescharacteristic
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C42C2×D4116yes—
1227C2×C42C2×D418yes—
1228C2×C42C2412yes—
1229C2×C42C2412yes—
1230C2×C42C2412yes—
1231C2×C42C2412yes—
1232C2×C42C2414yes—
1233C2×C42C2411yescharacteristic
1234C2×C42C2412yes—
1235C2×C42C2411yescharacteristic
1236C2×C42C2412yes—
1237C2×C42C2412yes—
1238C2×C42C2412yes—
1239C2×C42C2414yes—
1240C2×C42C2414yes—
1241C2×C42C2414yes—
1242C2×C42C2414yes—
1243C2×C42C2414yes—
1244C2×C42C2412yes—
1245C2×C42C2412yes—
1246C2×C42C2411yescharacteristic
1247C2×C42C2411yescharacteristic
1248C2×C42C2411yescharacteristic
1249C2×C42C2411yescharacteristic
1250C2×C42C2412yes—
1251C2×C42C2412yes—
1252#95C2411yescharacteristic
1253#95C2412yes—
1254#95C2411yescharacteristic
1255#95C2412yes—
1256#95C2411yescharacteristic
1257#95C2411yescharacteristic
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2414yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300C24C2511yescharacteristic
1301C24C2511yescharacteristic
1302C24C2512yes—
1303C24C2512yes—
1304C24C2514yes—
1305C24C2511yescharacteristic
1306#41—416no—
1307#41—432no—
1308#41—832no—
1309#41—816no—
1310C2×Q8—22no—
1311C2×Q8—24no—
1312C2×Q8—22no—
1313C2×Q8—22no—
1314C2×Q8—24no—
1315C2×Q8—24no—
1316C2×Q8—28no—
1317C2×Q8—22no—
1318C2×Q8—22no—
1319C2×Q8—22no—
1320C2×Q8—22no—
1321C2×Q8—22no—
1322C2×Q8—22no—
1323C2×Q8—42no—
1324C2×Q8—42no—
1325C2×Q8—42no—
1326C2×Q8—42no—
1327C2×Q8—42no—
1328C2×Q8—42no—
1329C2×Q8—44no—
1330C2×Q8—44no—
1331C2×Q8—44no—
1332C2×Q8—44no—
1333C2×Q8—416no—
1334C2×Q8—416no—
1335C2×Q8C22×D414yes—
1336C2×Q8C22×D414yes—
1337C2×Q8C22×D418yes—
1338C2×D4—22no—
1339C2×D4—24no—
1340C2×D4—22no—
1341C2×D4—24no—
1342C2×D4—28no—
1343C2×D4—22no—
1344C2×D4—24no—
1345C2×D4—24no—
1346C2×D4—22no—
1347C2×D4—28no—
1348C2×D4—24no—
1349C2×D4—22no—
1350C2×D4—24no—
1351C2×D4—24no—
1352C2×D4—28no—
1353C2×D4—22no—
1354C2×D4—24no—
1355C2×D4—24no—
1356C2×D4—22no—
1357C2×D4—42no—
1358C2×D4—42no—
1359C2×D4—42no—
1360C2×D4—44no—
1361C2×D4—42no—
1362C2×D4—44no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—44no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4—44no—
1373C2×D4—42no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—42no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—42no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—42no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—28no—
1399C22×C4—24no—
1400C22×C4—24no—
1401C22×C4—22no—
1402C22×C4—24no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—24no—
1406C22×C4—22no—
1407C22×C4—22no—
1408C22×C4—22no—
1409C22×C4—24no—
1410C22×C4—24no—
1411C22×C4—24no—
1412C22×C4—24no—
1413C22×C4—28no—
1414C22×C4—28no—
1415C22×C4—28no—
1416C22×C4—42no—
1417C22×C4—42no—
1418C22×C4—42no—
1419C22×C4—42no—
1420C22×C4—42no—
1421C22×C4—44no—
1422C22×C4—44no—
1423C22×C4—42no—
1424C22×C4—42no—
1425C22×C4—44no—
1426C22×C4—42no—
1427C22×C4—44no—
1428C22×C4—44no—
1429C22×C4—44no—
1430C22×C4—44no—
1431C22×C4—44no—
1432C22×C4—44no—
1433C22×C4—44no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4C22×D414yes—
1437C22×C4C22×D414yes—
1438C22×C4C22×D418yes—
1439C22×C4C22×D414yes—
1440C22×C4C22×D418yes—
1441C22×C4C2512yes—
1442C22×C4C2512yes—
1443C22×C4C2514yes—
1444C22×C4C2512yes—
1445C22×C4C2514yes—
1446C22×C4C2512yes—
1447C22×C4C2512yes—
1448C22×C4C2511yescharacteristic
1449C22×C4C2512yes—
1450C22×C4C2511yescharacteristic
1451C22×C4C2511yescharacteristic
1452C22×C4C2512yes—
1453C22×C4C2512yes—
1454C22×C4C2514yes—
1455C22×C4C2512yes—
1456C22×C4C2511yescharacteristic
1457C22×C4C2511yescharacteristic
1458C22×C4C2511yescharacteristic
1459C22×C4C2512yes—
1460C22×C4C2511yescharacteristic
1461C22×C4C2512yes—
1462C22×C4C2512yes—
1463C22×C4C2512yes—
1464C22×C4C2512yes—
1465C22×C4C2511yescharacteristic
1466C22×C4C2511yescharacteristic
1467C22×C4C2511yescharacteristic
1468C22×C4C2511yescharacteristic
1469C22×C4C2511yescharacteristic
1470C4⋊C4—28no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—22no—
1474C4⋊C4—28no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—22no—
1478C4⋊C4—24no—
1479C4⋊C4—22no—
1480C4⋊C4—24no—
1481C4⋊C4—22no—
1482C4⋊C4—24no—
1483C4⋊C4—22no—
1484C4⋊C4—24no—
1485C4⋊C4—22no—
1486C4⋊C4—24no—
1487C4⋊C4—22no—
1488C4⋊C4—24no—
1489C4⋊C4—24no—
1490C4⋊C4—24no—
1491C4⋊C4—22no—
1492C4⋊C4—24no—
1493C4⋊C4—22no—
1494C4⋊C4—28no—
1495C4⋊C4—24no—
1496C4⋊C4—22no—
1497C4⋊C4—24no—
1498C4⋊C4—24no—
1499C4⋊C4—22no—
1500C4⋊C4—24no—
1501C4⋊C4—24no—
1502C4⋊C4—24no—
1503C4⋊C4—24no—
1504C4⋊C4—22no—
1505C4⋊C4—22no—
1506C4⋊C4—22no—
1507C4⋊C4—24no—
1508C4⋊C4—24no—
1509C4⋊C4—28no—
1510C4⋊C4—24no—
1511C4⋊C4—24no—
1512C4⋊C4—42no—
1513C4⋊C4—42no—
1514C4⋊C4—44no—
1515C4⋊C4—42no—
1516C4⋊C4—42no—
1517C4⋊C4—44no—
1518C4⋊C4—42no—
1519C4⋊C4—42no—
1520C4⋊C4—42no—
1521C4⋊C4—42no—
1522C4⋊C4—42no—
1523C4⋊C4—44no—
1524C4⋊C4—44no—
1525C4⋊C4—44no—
1526C4⋊C4—42no—
1527C4⋊C4—44no—
1528C4⋊C4—44no—
1529C4⋊C4—42no—
1530C4⋊C4—44no—
1531C4⋊C4—44no—
1532C4⋊C4—42no—
1533C4⋊C4C22×D414yes—
1534C4⋊C4C22×D418yes—
1535C4⋊C4C22×D418yes—
1536C4⋊C4C22×D414yes—
1537C4⋊C4C22×D418yes—
1538C4⋊C4C22×D418yes—
1539C4⋊C4C22×D418yes—
1540C22⋊C4—22no—
1541C22⋊C4—24no—
1542C22⋊C4—22no—
1543C22⋊C4—24no—
1544C22⋊C4—24no—
1545C22⋊C4—22no—
1546C22⋊C4—22no—
1547C22⋊C4—24no—
1548C22⋊C4—22no—
1549C22⋊C4—28no—
1550C22⋊C4—24no—
1551C22⋊C4—24no—
1552C22⋊C4—22no—
1553C22⋊C4—28no—
1554C22⋊C4—24no—
1555C22⋊C4—24no—
1556C22⋊C4—22no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—24no—
1560C22⋊C4—22no—
1561C22⋊C4—24no—
1562C22⋊C4—28no—
1563C22⋊C4—28no—
1564C22⋊C4—28no—
1565C22⋊C4—28no—
1566C22⋊C4—24no—
1567C22⋊C4—24no—
1568C22⋊C4—24no—
1569C22⋊C4—24no—
1570C22⋊C4—22no—
1571C22⋊C4—24no—
1572C22⋊C4—22no—
1573C22⋊C4—28no—
1574C22⋊C4—24no—
1575C22⋊C4—42no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—42no—
1581C22⋊C4—44no—
1582C22⋊C4—42no—
1583C22⋊C4—44no—
1584C22⋊C4—42no—
1585C22⋊C4—42no—
1586C22⋊C4—42no—
1587C22⋊C4—44no—
1588C22⋊C4—42no—
1589C22⋊C4—42no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4—42no—
1593C22⋊C4—42no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—42no—
1611C22⋊C4—42no—
1612C42—24no—
1613C42—24no—
1614C42—24no—
1615C42—28no—
1616C42—24no—
1617C42—24no—
1618C42—22no—
1619C42—24no—
1620C42—22no—
1621C42—24no—
1622C42—24no—
1623C42—44no—
1624C42—44no—
1625C42—44no—
1626C42—44no—
1627C42—44no—
1628C42C22×D418yes—
1629C42C22×D418yes—
1630C42C22×D414yes—
1631C42C22×D414yes—
1632C42C22×D414yes—
1633C42C22×D414yes—
1634C42C22×D418yes—
1635C42C22×D418yes—
1636C23—21no—
1637C23—21no—
1638C23—22no—
1639C23—22no—
1640C23—22no—
1641C23—21no—
1642C23—21no—
1643C23—24no—
1644C23—22no—
1645C23—21no—
1646C23—21no—
1647C23—22no—
1648C23—22no—
1649C23—24no—
1650C23—24no—
1651C23—22no—
1652C23—21no—
1653C23—21no—
1654C23—22no—
1655C23—22no—
1656C23—22no—
1657C23—24no—
1658C23—24no—
1659C23—22no—
1660C23—22no—
1661C23—24no—
1662C23—22no—
1663C23—24no—
1664C23—22no—
1665C23—22no—
1666C23—24no—
1667C23—24no—
1668C23—22no—
1669C23C23×D412yes—
1670C23C2611yescharacteristic
1671Q8—28no—
1672Q8—28no—
1673Q8—48no—
1674Q8—44no—
1675Q8—48no—
1676Q8—44no—
1677Q8—82no—
1678Q8—84no—
1679Q8—84no—
1680Q8—88no—
1681D4—44no—
1682D4—48no—
1683D4—416no—
1684D4—48no—
1685D4—44no—
1686D4—48no—
1687D4—44no—
1688D4—416no—
1689D4—48no—
1690D4—48no—
1691D4—44no—
1692D4—48no—
1693D4—82no—
1694D4—84no—
1695D4—84no—
1696D4—88no—
1697D4—88no—
1698D4—84no—
1699D4—88no—
1700D4—88no—
1701D4—164no—
1702D4—164no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—24no—
1710C2×C4—24no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—28no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—22no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—21no—
1725C2×C4—24no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—24no—
1734C2×C4—24no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—21no—
1740C2×C4—22no—
1741C2×C4—21no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—24no—
1746C2×C4—22no—
1747C2×C4—24no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—24no—
1751C2×C4—22no—
1752C2×C4—24no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—24no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—24no—
1759C2×C4—22no—
1760C2×C4—24no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—24no—
1766C2×C4—22no—
1767C2×C4—44no—
1768C2×C4—48no—
1769C2×C4—48no—
1770C2×C4—44no—
1771C2×C4—48no—
1772C2×C4—416no—
1773C2×C4—48no—
1774C2×C4—44no—
1775C2×C4—48no—
1776C2×C4—44no—
1777C2×C4—84no—
1778C2×C4—84no—
1779C2×C4—84no—
1780C2×C4—88no—
1781C2×C4—88no—
1782C2×C4—88no—
1783C2×C4C23×D414yes—
1784C2×C4C23×D414yes—
1785C2×C4C23×D414yes—
1786C2×C4C23×D412yes—
1787C2×C4C23×D412yes—
1788C2×C4C23×D412yes—
1789C2×C4C23×D412yes—
1790C2×C4C23×D412yes—
1791C2×C4C23×D414yes—
1792C2×C4C23×D412yes—
1793C2×C4#58512yes—
1794C2×C4#58512yes—
1795C22—22no—
1796C22—22no—
1797C22—22no—
1798C22—42no—
1799C22—42no—
1800C22—42no—
1801C22—42no—
1802C22—44no—
1803C22—42no—
1804C22—42no—
1805C22—44no—
1806C22—44no—
1807C22—42no—
1808C22—42no—
1809C22—44no—
1810C22—44no—
1811C22—42no—
1812C22—42no—
1813C22—44no—
1814C22—42no—
1815C22—44no—
1816C22—41no—
1817C22—42no—
1818C22—41no—
1819C22—42no—
1820C22—44no—
1821C22—41no—
1822C22—42no—
1823C22—41no—
1824C22—41no—
1825C22—42no—
1826C22—44no—
1827C22—41no—
1828C22—42no—
1829C22C24×D411yescharacteristic
1830C22C2×#58511yescharacteristic
1831C22C2×#58511yescharacteristic
1832C22H(7,𝔽2)12yes—
1833C222−1+612yes—
1834C4—22no—
1835C4—22no—
1836C4—24no—
1837C4—22no—
1838C4—22no—
1839C4—24no—
1840C4—22no—
1841C4—24no—
1842C4—24no—
1843C4—42no—
1844C4—42no—
1845C4—42no—
1846C4—42no—
1847C4—44no—
1848C4—44no—
1849C4—41no—
1850C4—42no—
1851C4—41no—
1852C4—42no—
1853C4—44no—
1854C4—42no—
1855C4—41no—
1856C4—42no—
1857C4—41no—
1858C4—42no—
1859C4—41no—
1860C4—41no—
1861C4—42no—
1862C4#344914yes—
1863C2—42no—
1864C2—81no—
1865C2—82no—
1866C2—82no—
1867C2—81no—
1868C2—84no—
1869C2C2×#344911yescharacteristic
1870C2#6284811yescharacteristic
1871C2#6285211yescharacteristic
1872C2#6304312yes—
1873C2#6305612yes—
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×#3522C2semidirect
2. C2×#3516C2semidirect
3. #42883C2semidirect
4. #42880C2semidirect
5. #42876C2semidirect
6. #42806C2semidirect
7. #42805C2semidirect
8. #42804C2semidirect
9. #42793C2semidirect
10. #42789C2semidirect
11. #42389C2semidirect
12. #42388C2semidirect
13. #41957C2semidirect
14. #41956C2semidirect
15. #41943C2semidirect
16. #41942C2semidirect
17. #40599C2semidirect
18. #40598C2semidirect
19. #37621C2semidirect
20. #37616C2semidirect
21. #37558C2semidirect
22. #37553C2semidirect
23. #37544C2semidirect
24. #37543C2semidirect
25. #36687C2semidirect
26. #36684C2semidirect
27. #36041C2semidirect
28. #35844C2semidirect
29. #35787C2semidirect
30. #35772C2semidirect
31. #35768C2semidirect
32. #35738C2semidirect
33. #35701C2semidirect
34. #35697C2semidirect
35. #34187C2semidirect
446. C2×C4×Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35222
C2×#35162
#428832
#428802
#428762
#428062
#428052
#428042
#427932
#427892
#423892
#423882
#419572
#419562
#419432
#419422
#405992
#405982
#376212
#376162
#375582
#375532
#375442
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