Finite Group Databasebeta

← #7644271

Subgroups — #7644271

Order 512.

6322 conjugacy classes of subgroups.

The subgroup lattice has 1799 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3523C211yesmaximal, characteristic, complemented
2C2×#3516C211yesmaximal, characteristic, complemented
3#42891C211yesmaximal, characteristic, complemented
4#42888C211yesmaximal, characteristic, complemented
5#42887C211yesmaximal, characteristic, complemented
6#42884C211yesmaximal, characteristic, complemented
7#42815C211yesmaximal, characteristic, complemented
8#42812C211yesmaximal, characteristic, complemented
9#42811C211yesmaximal, characteristic, complemented
10#42808C211yesmaximal, characteristic, complemented
11#42807C212yesmaximal, complemented
12#42806C212yesmaximal, complemented
13#42675C212yesmaximal, complemented
14#42674C212yesmaximal, complemented
15#42175C212yesmaximal, complemented
16#42174C212yesmaximal, complemented
17#42171C212yesmaximal, complemented
18#42170C212yesmaximal, complemented
19#41417C214yesmaximal, complemented
20#41416C214yesmaximal, complemented
21#37560C212yesmaximal, complemented
22#37558C212yesmaximal, complemented
23#37551C212yesmaximal, complemented
24#37541C212yesmaximal, complemented
25#37193C214yesmaximal, complemented
26#37191C214yesmaximal, complemented
27#35675C212yesmaximal, complemented
28#35671C212yesmaximal, complemented
29#35671C212yesmaximal, complemented
30#35625C212yesmaximal, complemented
31#35212C211yesmaximal, characteristic, complemented
32#35201C211yesmaximal, characteristic, complemented
33#34643C211yesmaximal, characteristic, complemented
34#34631C211yesmaximal, characteristic, complemented
35#34059C211yesmaximal, characteristic, complemented
36#3523—216no—
37#3516—216no—
38C2×#557C2211yescharacteristic
39C2×#557C2211yescharacteristic
40C2×#557C2211yescharacteristic
41C2×#557C2212yes—
42C2×#556C2211yescharacteristic
43C2×#556C2212yes—
44C2×#556C2211yescharacteristic
45C2×#556C2212yes—
46C2×#554C2211yescharacteristic
47C2×#554C2212yes—
48C2×#553C2211yescharacteristic
49C2×#553C2212yes—
50C2×#552C2211yescharacteristic
51C2×#552C2212yes—
52C2×#552C2212yes—
53C2×#552C2214yes—
54C2×D4×Q8C2212yes—
55C2×D4×Q8C2211yescharacteristic
56C2×D4×Q8C2211yescharacteristic
57C2×#548C2211yescharacteristic
58C2×#548C2211yescharacteristic
59C2×#542C2212yes—
60C2×#542C2211yescharacteristic
61C2×#541C2212yes—
62C2×#541C2212yes—
63C2×#541C2211yescharacteristic
64C2×#541C2214yes—
65C2×#533C2211yescharacteristic
66C2×#533C2212yes—
67C2×#529C2211yescharacteristic
68C2×#529C2211yescharacteristic
69C2×#529C2212yes—
70C2×#529C2212yes—
71C2×#529C2211yescharacteristic
72C2×#529C2212yes—
73C2×#520C2211yescharacteristic
74C2×#519C2211yescharacteristic
75C2×#519C2212yes—
76C22×C4×Q8C2211yescharacteristic
77#2861C2212yes—
78#2860C2214yes—
79#2859C2212yes—
80#2822C2212yes—
81#2821C2212yes—
82#2821C2212yes—
83#2821C2212yes—
84#2821C2212yes—
85#2820C2212yes—
86#2820C2212yes—
87#2819C2212yes—
88#2817C2214yes—
89#2816C2214yes—
90#2814C2214yes—
91#2813C2214yes—
92#2734C2214yes—
93#2732C2214yes—
94#2731C2214yes—
95#2730C2214yes—
96#2729C2214yes—
97#2729C2214yes—
98#2729C2214yes—
99#2728C2214yes—
100#2727C2214yes—
101#2726C2214yes—
102#2725C2214yes—
103#2725C2214yes—
104#2723C2214yes—
105#2723C2214yes—
106#2721C2214yes—
107#2721C2214yes—
108#2720C2214yes—
109#2720C2214yes—
110#2719C2214yes—
111#2719C2214yes—
112#2716C2214yes—
113#2714C2214yes—
114#2713C2214yes—
115#2711C2214yes—
116#2707C2214yes—
117#2705C2214yes—
118#2704C2214yes—
119#2702C2214yes—
120#2696C2214yes—
121#2694C2214yes—
122#2692C2214yes—
123#2690C2214yes—
124#2664C2214yes—
125#2664C2212yes—
126#2664C2211yescharacteristic
127#2664C2211yescharacteristic
128#2663C2212yes—
129#2663C2212yes—
130#2663C2211yescharacteristic
131#2663C2211yescharacteristic
132#2663C2212yes—
133#2663C2212yes—
134#2663C2212yes—
135#2663C2212yes—
136#2662C2212yes—
137#2662C2211yescharacteristic
138#2662C2211yescharacteristic
139#2661C2211yescharacteristic
140#2661C2211yescharacteristic
141#2661C2212yes—
142#2661C2212yes—
143#2660C2211yescharacteristic
144#2658C2211yescharacteristic
145#2642C2211yescharacteristic
146#2640C2211yescharacteristic
147#2638C2214yes—
148#2638C2214yes—
149#2638C2214yes—
150#2637C2212yes—
151#2637C2212yes—
152#2636C2212yes—
153#2636C2212yes—
154#2635C2214yes—
155#2634C2212yes—
156#2634C2212yes—
157#2634C2212yes—
158#2633C2212yes—
159#2632C2212yes—
160#2632C2212yes—
161#2632C2212yes—
162#2631C2212yes—
163#2630C2214yes—
164#2630C2214yes—
165#2628C2212yes—
166#2628C2212yes—
167#2628C2212yes—
168#2628C2212yes—
169#2625C2214yes—
170#2624C2214yes—
171#2621C2212yes—
172#2620C2212yes—
173#2611C2214yes—
174#2611C2214yes—
175#2611C2214yes—
176#2611C2212yes—
177#2610C2214yes—
178#2610C2212yes—
179#2604C2214yes—
180#2604C2214yes—
181#2604C2214yes—
182#2604C2212yes—
183#2604C2212yes—
184#2603C2214yes—
185#2602C2214yes—
186#2601C2214yes—
187#2601C2214yes—
188#2601C2214yes—
189#2601C2214yes—
190#2600C2214yes—
191#2600C2214yes—
192#2599C2212yes—
193#2599C2212yes—
194#2598C2212yes—
195#2598C2212yes—
196#2592C2211yescharacteristic
197#2592C2214yes—
198#2584C2211yescharacteristic
199#2584C2214yes—
200#2584C2214yes—
201#2581C2212yes—
202#2581C2212yes—
203#2580C2212yes—
204#2580C2212yes—
205#2568C2211yescharacteristic
206#2567C2211yescharacteristic
207#2563C2211yescharacteristic
208#2562C2214yes—
209#2562C2211yescharacteristic
210#2542C2211yescharacteristic
211#2540C2211yescharacteristic
212#2500C2212yes—
213#2499C2212yes—
214#2485C2214yes—
215#2485C2214yes—
216#2481C2214yes—
217#2479C2214yes—
218#2479C2214yes—
219#2477C2214yes—
220#2475C2214yes—
221#2475C2214yes—
222#2473C2214yes—
223#2471C2214yes—
224#2469C2214yes—
225#2469C2214yes—
226#2467C2214yes—
227#2465C2214yes—
228#2462C2214yes—
229#2462C2214yes—
230#2460C2214yes—
231#2458C2214yes—
232#2454C2212yes—
233#2453C2212yes—
234#2453C2212yes—
235#2451C2212yes—
236#2448C2212yes—
237#2446C2212yes—
238#2446C2212yes—
239#2446C2212yes—
240#2442C2212yes—
241#2441C2212yes—
242#2441C2212yes—
243#2439C2212yes—
244#2436C2212yes—
245#2434C2212yes—
246#2434C2212yes—
247#2432C2212yes—
248#2429C2212yes—
249#2429C2212yes—
250#2427C2212yes—
251#2426C2212yes—
252#2423C2212yes—
253#2423C2212yes—
254#2421C2212yes—
255#2421C2212yes—
256#2417C2212yes—
257#2415C2212yes—
258#2415C2212yes—
259#2415C2212yes—
260#2415C2212yes—
261#2415C2212yes—
262#2414C2212yes—
263#2414C2212yes—
264#2409C2212yes—
265#2409C2212yes—
266#2409C2212yes—
267#2407C2212yes—
268#2399C2211yescharacteristic
269#2398C2211yescharacteristic
270#2398C2211yescharacteristic
271#2397C2211yescharacteristic
272#2396C2212yes—
273#2396C2212yes—
274#2395C2214yes—
275#2392C2212yes—
276#2392C2212yes—
277#2324C2212yes—
278#2323C2212yes—
279#2323C2212yes—
280#2323C2212yes—
281#2320C2211yescharacteristic
282#2320C2211yescharacteristic
283#2320C2211yescharacteristic
284#2320C2211yescharacteristic
285#2320C2212yes—
286#2320C2212yes—
287#2316C2212yes—
288#2313C2214yes—
289#2310C2212yes—
290C4×C4⋊Q8C2212yes—
291C4×#124C2212yes—
292#2295C2212yes—
293#2295C2214yes—
294#2295C2212yes—
295#2293C2212yes—
296#2293C2212yes—
297#2283C2212yes—
298#2283C2212yes—
299C4×#117C2211yescharacteristic
300C4×#117C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C23×Q8C2311yescharacteristic
303C23×Q8C2312yes—
304C23×Q8C2311yescharacteristic
305#557—28no—
306#557—28no—
307#557—28no—
308#557—216no—
309#556—28no—
310#556—216no—
311#556—28no—
312#556—216no—
313#554—28no—
314#554—216no—
315#553—28no—
316#553—216no—
317#552—28no—
318#552—216no—
319#552—216no—
320#552—232no—
321D4×Q8—28no—
322D4×Q8—216no—
323D4×Q8—28no—
324#548—28no—
325#548—28no—
326#542—28no—
327#542—216no—
328#541—28no—
329#541—216no—
330#541—216no—
331#541—232no—
332#533—28no—
333#533—216no—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2314yes—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345#529—28no—
346#529—216no—
347#529—28no—
348#529—216no—
349#529—28no—
350#529—216no—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2314yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2311yescharacteristic
357C2×#126C2311yescharacteristic
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#126C2314yes—
361C2×#126C2314yes—
362C2×#126C2314yes—
363C2×#126C2312yes—
364C2×#126C2312yes—
365C2×#126C2312yes—
366C2×#125C2314yes—
367C2×#125C2311yescharacteristic
368C2×#125C2312yes—
369C2×#125C2312yes—
370C2×#125C2312yes—
371C2×#125C2311yescharacteristic
372C2×#125C2312yes—
373C2×#125C2311yescharacteristic
374C2×#125C2314yes—
375C2×#125C2311yescharacteristic
376C2×#125C2312yes—
377C2×#125C2314yes—
378C2×#125C2312yes—
379C2×#125C2312yes—
380C2×#125C2312yes—
381C2×#125C2314yes—
382C2×#125C2314yes—
383C2×#125C2312yes—
384C2×#124C2312yes—
385C2×#124C2312yes—
386C2×#124C2312yes—
387C2×#124C2311yescharacteristic
388C2×#124C2311yescharacteristic
389C2×#124C2311yescharacteristic
390C2×#124C2311yescharacteristic
391C2×#124C2312yes—
392C2×#124C2312yes—
393C2×#123C2312yes—
394C2×#123C2314yes—
395C2×#123C2311yescharacteristic
396C2×#123C2311yescharacteristic
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2314yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×#121C2312yes—
426C2×#121C2311yescharacteristic
427C2×#121C2312yes—
428C2×#121C2311yescharacteristic
429C2×#121C2311yescharacteristic
430C2×#121C2311yescharacteristic
431C2×#121C2312yes—
432C2×#121C2312yes—
433#520—28no—
434#519—28no—
435#519—216no—
436C2×C4×Q8D4116yescomplemented
437C2×C4×Q8C2311yescharacteristic
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2314yes—
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2314yes—
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2311yescharacteristic
460C2×C4×Q8C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2314yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×#117C2311yescharacteristic
481C2×#117C2311yescharacteristic
482C2×#117C2312yes—
483C2×#117C2312yes—
484C2×#117C2312yes—
485C2×#117C2314yes—
486C2×#117C2312yes—
487C2×#117C2312yes—
488C2×#117C2312yes—
489C2×#117C2314yes—
490C2×#117C2312yes—
491C2×#117C2312yes—
492C2×#117C2311yescharacteristic
493C2×#117C2312yes—
494C2×#117C2314yes—
495C2×#117C2312yes—
496C2×#117C2312yes—
497C22×C4⋊C4C2311yescharacteristic
498C22×C4⋊C4C2312yes—
499C22×C4⋊C4C2312yes—
500C22×C4⋊C4C2311yescharacteristic
501C22×C42C2311yescharacteristic
502C22×C42C2312yes—
503#400C2314yes—
504#400C2314yes—
505#400C2314yes—
506#400C2314yes—
507#400C2312yes—
508#400C2311yescharacteristic
509#400C2312yes—
510#400C2312yes—
511#400C2314yes—
512#400C2314yes—
513#400C2312yes—
514#400C2314yes—
515#400C2314yes—
516#400C2311yescharacteristic
517#400C2312yes—
518#400C2314yes—
519#400C2312yes—
520#399C2314yes—
521#399C2314yes—
522#399C2312yes—
523#399C2312yes—
524#399C2314yes—
525#399C2311yescharacteristic
526#399C2312yes—
527#399C2312yes—
528#399C2314yes—
529#399C2314yes—
530#399C2314yes—
531#399C2311yescharacteristic
532#399C2312yes—
533#399C2314yes—
534#399C2312yes—
535#398C2314yes—
536#398C2314yes—
537#398C2314yes—
538#398C2314yes—
539#398C2314yes—
540#398C2314yes—
541#398C2311yescharacteristic
542#398C2312yes—
543#398C2314yes—
544#398C2314yes—
545#398C2314yes—
546#398C2314yes—
547#398C2314yes—
548#398C2314yes—
549#398C2314yes—
550#398C2314yes—
551#398C2311yescharacteristic
552#398C2312yes—
553#398C2312yes—
554#398C2314yes—
555#398C2312yes—
556#397C2312yes—
557#397C2314yes—
558#397C2314yes—
559#397C2314yes—
560#397C2311yescharacteristic
561#397C2312yes—
562#397C2314yes—
563#397C2314yes—
564#397C2314yes—
565#397C2314yes—
566#397C2314yes—
567#397C2314yes—
568#397C2314yes—
569#397C2314yes—
570#397C2312yes—
571#397C2311yescharacteristic
572#397C2314yes—
573#397C2312yes—
574#396C2314yes—
575#396C2314yes—
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#396C2314yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
588#395C2314yes—
589#395C2314yes—
590#395C2314yes—
591#395C2314yes—
592#395C2312yes—
593#395C2312yes—
594#395C2314yes—
595#395C2311yescharacteristic
596#395C2312yes—
597#395C2312yes—
598#395C2314yes—
599#395C2314yes—
600#395C2314yes—
601#395C2311yescharacteristic
602#395C2312yes—
603#395C2312yes—
604#394C2312yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#394C2312yes—
611#394C2314yes—
612#394C2314yes—
613#394C2311yescharacteristic
614#394C2314yes—
615#394C2312yes—
616#394C2314yes—
617#394C2314yes—
618#394C2314yes—
619#394C2314yes—
620#394C2314yes—
621#394C2314yes—
622#394C2312yes—
623#394C2312yes—
624#394C2311yescharacteristic
625#394C2312yes—
626#394C2312yes—
627#394C2312yes—
628#393C2314yes—
629#393C2314yes—
630#393C2312yes—
631#393C2312yes—
632#393C2312yes—
633#393C2314yes—
634#393C2311yescharacteristic
635#393C2312yes—
636#393C2314yes—
637#393C2314yes—
638#393C2314yes—
639#393C2311yescharacteristic
640#393C2312yes—
641#393C2312yes—
642#392C2311yescharacteristic
643#392C2312yes—
644#392C2314yes—
645#392C2312yes—
646#392C2314yes—
647#392C2314yes—
648#392C2312yes—
649#392C2311yescharacteristic
650#392C2312yes—
651#391C2312yes—
652#391C2312yes—
653#391C2312yes—
654#391C2312yes—
655#391C2312yes—
656#391C2312yes—
657#391C2314yes—
658#391C2314yes—
659#391C2312yes—
660#391C2312yes—
661#391C2312yes—
662#391C2312yes—
663#391C2312yes—
664#391C2314yes—
665#391C2314yes—
666#391C2312yes—
667#390C2312yes—
668#390C2312yes—
669#390C2314yes—
670#390C2314yes—
671#390C2314yes—
672#390C2312yes—
673#390C2312yes—
674#390C2314yes—
675#390C2314yes—
676#390C2312yes—
677#390C2312yes—
678#390C2312yes—
679#390C2312yes—
680#389C2314yes—
681#389C2314yes—
682#389C2312yes—
683#389C2312yes—
684#389C2312yes—
685#389C2312yes—
686#389C2312yes—
687#389C2312yes—
688#389C2314yes—
689#389C2314yes—
690#389C2314yes—
691#389C2314yes—
692#389C2314yes—
693#389C2312yes—
694#389C2312yes—
695#389C2314yes—
696#389C2314yes—
697#389C2314yes—
698#389C2314yes—
699#389C2312yes—
700#389C2312yes—
701#389C2314yes—
702#389C2314yes—
703#389C2314yes—
704#389C2314yes—
705#389C2314yes—
706#389C2314yes—
707#389C2314yes—
708#389C2314yes—
709#389C2312yes—
710#389C2312yes—
711#388C2312yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2312yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2312yes—
733#388C2312yes—
734#388C2314yes—
735#388C2314yes—
736#388C2314yes—
737#388C2314yes—
738#388C2314yes—
739#388C2314yes—
740#388C2314yes—
741#388C2314yes—
742#388C2312yes—
743#388C2312yes—
744#388C2312yes—
745#388C2312yes—
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#387C2314yes—
767#387C2314yes—
768#387C2314yes—
769#387C2314yes—
770#387C2314yes—
771#387C2314yes—
772#387C2314yes—
773#386C2314yes—
774#386C2314yes—
775#386C2314yes—
776#386C2314yes—
777#386C2314yes—
778#386C2314yes—
779#386C2314yes—
780#386C2314yes—
781#386C2314yes—
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#382C2312yes—
803#382C2312yes—
804#382C2312yes—
805#382C2312yes—
806#382C2312yes—
807#382C2312yes—
808#382C2312yes—
809#381C2314yes—
810#381C2314yes—
811#380C2312yes—
812#380C2312yes—
813#380C2314yes—
814#380C2314yes—
815#380C2314yes—
816#380C2314yes—
817#380C2312yes—
818#380C2312yes—
819#380C2314yes—
820#380C2314yes—
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2314yes—
823C4×C4⋊C4C2314yes—
824C4×C4⋊C4C2314yes—
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2311yescharacteristic
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2314yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2312yes—
844#376C2312yes—
845#376C2311yescharacteristic
846#376C2311yescharacteristic
847#376C2314yes—
848#376C2314yes—
849C43C2312yes—
850C43C2312yes—
851C2×#41—24no—
852C2×#41—44no—
853C22×Q8—24no—
854C22×Q8—28no—
855C22×Q8—44no—
856C22×Q8—44no—
857C22×Q8—44no—
858C22×Q8—44no—
859C22×Q8C2×D418yes—
860C22×Q8C2411yescharacteristic
861C22×Q8C2412yes—
862C22×Q8C2411yescharacteristic
863C22×Q8C2411yescharacteristic
864C22×Q8C2411yescharacteristic
865C22×Q8C2412yes—
866C22×Q8C2412yes—
867C22×Q8C2414yes—
868C22×Q8C2411yescharacteristic
869C22×Q8C2412yes—
870C22×Q8C2412yes—
871C22×D4C2411yescharacteristic
872C22×D4C2412yes—
873C22×D4C2411yescharacteristic
874C22×D4C2411yescharacteristic
875C22×D4C2412yes—
876C22×D4C2411yescharacteristic
877C22×D4C2412yes—
878C22×D4C2411yescharacteristic
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2414yes—
883C23×C4C2411yescharacteristic
884C23×C4C2411yescharacteristic
885C23×C4C2412yes—
886C23×C4C2411yescharacteristic
887C23×C4C2412yes—
888C23×C4C2412yes—
889C23×C4C2412yes—
890C23×C4C2412yes—
891C23×C4C2412yes—
892C23×C4C2414yes—
893C23×C4C2411yescharacteristic
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2411yescharacteristic
897C4⋊Q8—24no—
898C4⋊Q8—28no—
899C4⋊Q8—28no—
900C4⋊Q8—216no—
901C4⋊Q8—24no—
902C4⋊Q8—28no—
903C4⋊Q8—28no—
904C4⋊Q8—24no—
905C4⋊Q8—28no—
906C4⋊Q8—24no—
907C4⋊Q8—44no—
908#126—216no—
909#126—216no—
910#126—216no—
911#126—28no—
912#126—28no—
913#126—28no—
914#126—216no—
915#126—28no—
916#126—28no—
917#126—28no—
918#126—28no—
919#126—28no—
920#126—24no—
921#126—28no—
922#126—24no—
923#125—28no—
924#125—28no—
925#125—28no—
926#125—216no—
927#125—216no—
928#125—216no—
929#125—28no—
930#125—216no—
931#125—24no—
932#125—28no—
933#125—28no—
934#125—24no—
935#125—24no—
936#125—28no—
937#125—24no—
938#125—28no—
939#125—216no—
940#125—28no—
941#124—24no—
942#124—28no—
943#124—28no—
944#124—24no—
945#124—24no—
946#124—28no—
947#124—24no—
948#124—28no—
949#124—44no—
950#123—24no—
951#123—24no—
952#123—28no—
953#123—28no—
954#123—216no—
955#123—28no—
956#123—28no—
957#123—28no—
958C22⋊Q8—24no—
959C22⋊Q8—28no—
960C22⋊Q8—28no—
961C22⋊Q8—216no—
962C22⋊Q8—24no—
963C22⋊Q8—28no—
964C22⋊Q8—28no—
965C22⋊Q8—24no—
966C22⋊Q8—24no—
967C22⋊Q8—28no—
968C22⋊Q8—28no—
969C22⋊Q8—24no—
970C22⋊Q8—28no—
971C22⋊Q8—216no—
972C22⋊Q8—24no—
973C22⋊Q8—28no—
974C22⋊Q8—28no—
975C22⋊Q8—216no—
976C22⋊Q8—28no—
977C22⋊Q8—28no—
978C22⋊Q8—28no—
979C22⋊Q8—44no—
980C22⋊Q8—44no—
981C22⋊Q8—44no—
982#121—24no—
983#121—24no—
984#121—28no—
985#121—28no—
986#121—24no—
987#121—24no—
988#121—28no—
989#121—44no—
990C4×Q8—24no—
991C4×Q8—28no—
992C4×Q8—24no—
993C4×Q8—28no—
994C4×Q8—216no—
995C4×Q8—24no—
996C4×Q8—28no—
997C4×Q8—24no—
998C4×Q8—28no—
999C4×Q8—28no—
1000C4×Q8—216no—
1001C4×Q8—24no—
1002C4×Q8—28no—
1003C4×Q8—28no—
1004C4×Q8—24no—
1005C4×Q8—28no—
1006C4×Q8—28no—
1007C4×Q8—28no—
1008C4×Q8C2×D418yes—
1009C4×Q8C2×D418yes—
1010C4×Q8C2×D4116yes—
1011C4×Q8C2×D418yes—
1012C4×Q8C2×D418yes—
1013C4×Q8C2×D4116yes—
1014C4×D4—24no—
1015C4×D4—28no—
1016C4×D4—28no—
1017C4×D4—216no—
1018C4×D4—24no—
1019C4×D4—28no—
1020C4×D4—28no—
1021C4×D4—28no—
1022C4×D4—28no—
1023C4×D4—24no—
1024C4×D4—28no—
1025C4×D4—24no—
1026C4×D4—28no—
1027C4×D4—24no—
1028C4×D4—28no—
1029C4×D4—28no—
1030C4×D4—24no—
1031C4×D4—44no—
1032C4×D4—44no—
1033#117—216no—
1034#117—28no—
1035#117—24no—
1036#117—28no—
1037#117—28no—
1038#117—216no—
1039#117—28no—
1040#117—216no—
1041#117—24no—
1042#117—28no—
1043#117—24no—
1044#117—28no—
1045#117—28no—
1046#117—28no—
1047#117—28no—
1048#117—44no—
1049#117—44no—
1050C2×C4⋊C4—24no—
1051C2×C4⋊C4—28no—
1052C2×C4⋊C4C2×D418yes—
1053C2×C4⋊C4C2×D4116yes—
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C22⋊C4C2411yescharacteristic
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2411yescharacteristic
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2411yescharacteristic
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2411yescharacteristic
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2411yescharacteristic
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2411yescharacteristic
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2411yescharacteristic
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2411yescharacteristic
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2411yescharacteristic
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C42C2×D418yes—
1196C2×C42C2×D4116yes—
1197C2×C42C2412yes—
1198C2×C42C2412yes—
1199C2×C42C2412yes—
1200C2×C42C2414yes—
1201C2×C42C2414yes—
1202C2×C42C2414yes—
1203C2×C42C2411yescharacteristic
1204C2×C42C2412yes—
1205C2×C42C2412yes—
1206C2×C42C2411yescharacteristic
1207C2×C42C2412yes—
1208C2×C42C2412yes—
1209C2×C42C2414yes—
1210C2×C42C2412yes—
1211C2×C42C2414yes—
1212C2×C42C2412yes—
1213C2×C42C2412yes—
1214C2×C42C2414yes—
1215C2×C42C2412yes—
1216C2×C42C2412yes—
1217C2×C42C2412yes—
1218C2×C42C2412yes—
1219C2×C42C2411yescharacteristic
1220C2×C42C2412yes—
1221C2×C42C2412yes—
1222C2×C42C2411yescharacteristic
1223C2×C42C2412yes—
1224C2×C42C2411yescharacteristic
1225C2×C42C2412yes—
1226C2×C42C2411yescharacteristic
1227#95C2412yes—
1228#95C2411yescharacteristic
1229#95C2411yescharacteristic
1230#95C2412yes—
1231#95C2411yescharacteristic
1232#95C2411yescharacteristic
1233#95C2414yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2412yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2414yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282C24C2512yes—
1283C24C2511yescharacteristic
1284C24C2511yescharacteristic
1285C24C2512yes—
1286C24C2511yescharacteristic
1287#41—416no—
1288C2×Q8—24no—
1289C2×Q8—22no—
1290C2×Q8—24no—
1291C2×Q8—22no—
1292C2×Q8—28no—
1293C2×Q8—24no—
1294C2×Q8—24no—
1295C2×Q8—22no—
1296C2×Q8—24no—
1297C2×Q8—24no—
1298C2×Q8—24no—
1299C2×Q8—24no—
1300C2×Q8—24no—
1301C2×Q8—44no—
1302C2×Q8—44no—
1303C2×Q8—44no—
1304C2×Q8—44no—
1305C2×Q8—42no—
1306C2×Q8—44no—
1307C2×Q8—41no—
1308C2×Q8—41no—
1309C2×Q8—42no—
1310C2×Q8—42no—
1311C2×Q8—416no—
1312C2×Q8—432no—
1313C2×Q8—416no—
1314C2×Q8C22×D414yes—
1315C2×Q8C22×D414yes—
1316C2×Q8C22×D418yes—
1317C2×D4—22no—
1318C2×D4—24no—
1319C2×D4—22no—
1320C2×D4—24no—
1321C2×D4—22no—
1322C2×D4—24no—
1323C2×D4—22no—
1324C2×D4—24no—
1325C2×D4—22no—
1326C2×D4—24no—
1327C2×D4—42no—
1328C2×D4—42no—
1329C2×D4—42no—
1330C2×D4—42no—
1331C2×D4—42no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—42no—
1335C2×D4—42no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—42no—
1339C2×D4—42no—
1340C2×D4—42no—
1341C2×D4—42no—
1342C2×D4—42no—
1343C2×D4—42no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—22no—
1350C22×C4—24no—
1351C22×C4—22no—
1352C22×C4—28no—
1353C22×C4—24no—
1354C22×C4—24no—
1355C22×C4—24no—
1356C22×C4—24no—
1357C22×C4—24no—
1358C22×C4—24no—
1359C22×C4—24no—
1360C22×C4—24no—
1361C22×C4—42no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—44no—
1367C22×C4—44no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—42no—
1372C22×C4—42no—
1373C22×C4—42no—
1374C22×C4—42no—
1375C22×C4—42no—
1376C22×C4—42no—
1377C22×C4C22×D414yes—
1378C22×C4C22×D414yes—
1379C22×C4C22×D414yes—
1380C22×C4C22×D418yes—
1381C22×C4C22×D418yes—
1382C22×C4C2512yes—
1383C22×C4C2512yes—
1384C22×C4C2514yes—
1385C22×C4C2512yes—
1386C22×C4C2512yes—
1387C22×C4C2514yes—
1388C22×C4C2511yescharacteristic
1389C22×C4C2511yescharacteristic
1390C22×C4C2512yes—
1391C22×C4C2512yes—
1392C22×C4C2514yes—
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2511yescharacteristic
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2514yes—
1401C22×C4C2511yescharacteristic
1402C22×C4C2511yescharacteristic
1403C22×C4C2512yes—
1404C22×C4C2512yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C22×C4C2512yes—
1408C22×C4C2512yes—
1409C22×C4C2511yescharacteristic
1410C22×C4C2511yescharacteristic
1411C22×C4C2511yescharacteristic
1412C4⋊C4—22no—
1413C4⋊C4—24no—
1414C4⋊C4—24no—
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—24no—
1423C4⋊C4—28no—
1424C4⋊C4—24no—
1425C4⋊C4—24no—
1426C4⋊C4—28no—
1427C4⋊C4—24no—
1428C4⋊C4—28no—
1429C4⋊C4—22no—
1430C4⋊C4—24no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—24no—
1434C4⋊C4—28no—
1435C4⋊C4—24no—
1436C4⋊C4—28no—
1437C4⋊C4—24no—
1438C4⋊C4—22no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—22no—
1442C4⋊C4—24no—
1443C4⋊C4—22no—
1444C4⋊C4—24no—
1445C4⋊C4—24no—
1446C4⋊C4—24no—
1447C4⋊C4—28no—
1448C4⋊C4—24no—
1449C4⋊C4—24no—
1450C4⋊C4—22no—
1451C4⋊C4—22no—
1452C4⋊C4—22no—
1453C4⋊C4—24no—
1454C4⋊C4—22no—
1455C4⋊C4—28no—
1456C4⋊C4—28no—
1457C4⋊C4—28no—
1458C4⋊C4—28no—
1459C4⋊C4—24no—
1460C4⋊C4—24no—
1461C4⋊C4—24no—
1462C4⋊C4—44no—
1463C4⋊C4—44no—
1464C4⋊C4—44no—
1465C4⋊C4—44no—
1466C4⋊C4—44no—
1467C4⋊C4—44no—
1468C4⋊C4—44no—
1469C4⋊C4—44no—
1470C4⋊C4—42no—
1471C4⋊C4—42no—
1472C4⋊C4—44no—
1473C4⋊C4—42no—
1474C4⋊C4—42no—
1475C4⋊C4—44no—
1476C4⋊C4—42no—
1477C4⋊C4—42no—
1478C4⋊C4—42no—
1479C4⋊C4—42no—
1480C4⋊C4—44no—
1481C4⋊C4—44no—
1482C4⋊C4—44no—
1483C4⋊C4—44no—
1484C4⋊C4—44no—
1485C4⋊C4C22×D414yes—
1486C4⋊C4C22×D418yes—
1487C4⋊C4C22×D414yes—
1488C4⋊C4C22×D418yes—
1489C4⋊C4C22×D418yes—
1490C4⋊C4C22×D418yes—
1491C4⋊C4C22×D418yes—
1492C22⋊C4—24no—
1493C22⋊C4—28no—
1494C22⋊C4—22no—
1495C22⋊C4—24no—
1496C22⋊C4—22no—
1497C22⋊C4—22no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—22no—
1501C22⋊C4—24no—
1502C22⋊C4—28no—
1503C22⋊C4—22no—
1504C22⋊C4—24no—
1505C22⋊C4—22no—
1506C22⋊C4—24no—
1507C22⋊C4—22no—
1508C22⋊C4—24no—
1509C22⋊C4—24no—
1510C22⋊C4—24no—
1511C22⋊C4—24no—
1512C22⋊C4—22no—
1513C22⋊C4—24no—
1514C22⋊C4—24no—
1515C22⋊C4—24no—
1516C22⋊C4—24no—
1517C22⋊C4—22no—
1518C22⋊C4—28no—
1519C22⋊C4—24no—
1520C22⋊C4—24no—
1521C22⋊C4—22no—
1522C22⋊C4—28no—
1523C22⋊C4—24no—
1524C22⋊C4—42no—
1525C22⋊C4—42no—
1526C22⋊C4—44no—
1527C22⋊C4—42no—
1528C22⋊C4—44no—
1529C22⋊C4—42no—
1530C22⋊C4—44no—
1531C22⋊C4—42no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—42no—
1541C22⋊C4—42no—
1542C22⋊C4—44no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C42—24no—
1554C42—24no—
1555C42—24no—
1556C42—28no—
1557C42—28no—
1558C42—28no—
1559C42—24no—
1560C42—22no—
1561C42—24no—
1562C42—22no—
1563C42—28no—
1564C42—24no—
1565C42—24no—
1566C42—24no—
1567C42—42no—
1568C42—44no—
1569C42—42no—
1570C42—42no—
1571C42—42no—
1572C42—42no—
1573C42—42no—
1574C42—44no—
1575C42C22×D414yes—
1576C42C22×D418yes—
1577C42C22×D418yes—
1578C42C22×D414yes—
1579C42C22×D418yes—
1580C42C22×D414yes—
1581C42C22×D418yes—
1582C42C22×D414yes—
1583C23—22no—
1584C23—21no—
1585C23—21no—
1586C23—22no—
1587C23—22no—
1588C23—22no—
1589C23—21no—
1590C23—21no—
1591C23—22no—
1592C23—22no—
1593C23—22no—
1594C23—24no—
1595C23—22no—
1596C23—22no—
1597C23—22no—
1598C23—24no—
1599C23—22no—
1600C23—21no—
1601C23—22no—
1602C23—22no—
1603C23—22no—
1604C23—21no—
1605C23—22no—
1606C23—21no—
1607C23—22no—
1608C23—21no—
1609C23C23×D412yes—
1610C23C2611yescharacteristic
1611Q8—28no—
1612Q8—28no—
1613Q8—48no—
1614Q8—44no—
1615Q8—48no—
1616Q8—48no—
1617Q8—416no—
1618Q8—44no—
1619Q8—48no—
1620Q8—82no—
1621Q8—84no—
1622D4—44no—
1623D4—48no—
1624D4—44no—
1625D4—48no—
1626D4—44no—
1627D4—48no—
1628D4—44no—
1629D4—82no—
1630D4—84no—
1631D4—84no—
1632D4—84no—
1633D4—164no—
1634C2×C4—22no—
1635C2×C4—24no—
1636C2×C4—24no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—28no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—24no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—24no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—24no—
1667C2×C4—24no—
1668C2×C4—22no—
1669C2×C4—24no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—24no—
1674C2×C4—24no—
1675C2×C4—22no—
1676C2×C4—24no—
1677C2×C4—22no—
1678C2×C4—24no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—24no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—24no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—24no—
1690C2×C4—24no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—24no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—44no—
1703C2×C4—44no—
1704C2×C4—48no—
1705C2×C4—48no—
1706C2×C4—48no—
1707C2×C4—416no—
1708C2×C4—48no—
1709C2×C4—44no—
1710C2×C4—48no—
1711C2×C4—44no—
1712C2×C4—84no—
1713C2×C4—84no—
1714C2×C4—84no—
1715C2×C4C23×D412yes—
1716C2×C4C23×D414yes—
1717C2×C4C23×D414yes—
1718C2×C4C23×D414yes—
1719C2×C4C23×D414yes—
1720C2×C4C23×D412yes—
1721C2×C4C23×D412yes—
1722C2×C4C23×D412yes—
1723C2×C4C23×D412yes—
1724C2×C4C23×D412yes—
1725C2×C4#58514yes—
1726C22—22no—
1727C22—22no—
1728C22—22no—
1729C22—42no—
1730C22—42no—
1731C22—42no—
1732C22—41no—
1733C22—42no—
1734C22—41no—
1735C22—41no—
1736C22—42no—
1737C22—42no—
1738C22—41no—
1739C22—42no—
1740C22—42no—
1741C22—42no—
1742C22—42no—
1743C22—44no—
1744C22—42no—
1745C22—42no—
1746C22—42no—
1747C22—44no—
1748C22—42no—
1749C22—42no—
1750C22—41no—
1751C22—42no—
1752C22—41no—
1753C22C24×D411yescharacteristic
1754C22C2×#58512yes—
1755C222−1+612yes—
1756C222−1+611yescharacteristic
1757C222−1+611yescharacteristic
1758C4—22no—
1759C4—22no—
1760C4—22no—
1761C4—24no—
1762C4—22no—
1763C4—24no—
1764C4—22no—
1765C4—24no—
1766C4—24no—
1767C4—42no—
1768C4—41no—
1769C4—41no—
1770C4—42no—
1771C4—44no—
1772C4—42no—
1773C4—41no—
1774C4—42no—
1775C4—41no—
1776C4—42no—
1777C4—44no—
1778C4—42no—
1779C4—42no—
1780C4—42no—
1781C4—44no—
1782C4—41no—
1783C4—41no—
1784C4—42no—
1785C4—42no—
1786C4—44no—
1787C4#344914yes—
1788C2—42no—
1789C2—81no—
1790C2—82no—
1791C2—82no—
1792C2—81no—
1793C2C2×#344911yescharacteristic
1794C2#6284811yescharacteristic
1795C2#6285911yescharacteristic
1796C2#6289012yes—
1797C2#6289112yes—
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×#3523C2semidirect
2. C2×#3516C2semidirect
3. #42891C2semidirect
4. #42888C2semidirect
5. #42887C2semidirect
6. #42884C2semidirect
7. #42815C2semidirect
8. #42812C2semidirect
9. #42811C2semidirect
10. #42808C2semidirect
11. #42807C2semidirect
12. #42806C2semidirect
13. #42675C2semidirect
14. #42674C2semidirect
15. #42175C2semidirect
16. #42174C2semidirect
17. #42171C2semidirect
18. #42170C2semidirect
19. #41417C2semidirect
20. #41416C2semidirect
21. #37560C2semidirect
22. #37558C2semidirect
23. #37551C2semidirect
24. #37541C2semidirect
25. #37193C2semidirect
26. #37191C2semidirect
27. #35675C2semidirect
28. #35671C2semidirect
29. #35671C2semidirect
30. #35625C2semidirect
31. #35212C2semidirect
32. #35201C2semidirect
33. #34643C2semidirect
34. #34631C2semidirect
35. #34059C2semidirect
436. C2×C4×Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35232
C2×#35162
#428912
#428882
#428872
#428842
#428152
#428122
#428112
#428082
#428072
#428062
#426752
#426742
#421752
#421742
#421712
#421702
#414172
#414162
#375602
#375582
#375512
#375412
#371932
#371912
#356752
#356712
#356252
#352122
#352012
#346432
#346312
#340592