Finite Group Databasebeta

← #7715668

Subgroups — #7715668

Order 512.

6406 conjugacy classes of subgroups.

The subgroup lattice has 1650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3555C211yesmaximal, characteristic, complemented
2C2×#3455C211yesmaximal, characteristic, complemented
3#50173C212yesmaximal, complemented
4#50172C212yesmaximal, complemented
5#49571C214yesmaximal, complemented
6#48783C212yesmaximal, complemented
7#48782C212yesmaximal, complemented
8#47860C214yesmaximal, complemented
9#47823C214yesmaximal, complemented
10#47798C214yesmaximal, complemented
11#47767C214yesmaximal, complemented
12#47721C214yesmaximal, complemented
13#39139C212yesmaximal, complemented
14#39136C212yesmaximal, complemented
15#39131C212yesmaximal, complemented
16#39131C212yesmaximal, complemented
17#39127C212yesmaximal, complemented
18#39125C212yesmaximal, complemented
19#39119C212yesmaximal, complemented
20#39118C212yesmaximal, complemented
21#37640C211yesmaximal, characteristic, complemented
22#37550C211yesmaximal, characteristic, complemented
23#37375C212yesmaximal, complemented
24#37271C212yesmaximal, complemented
25#35325C211yesmaximal, characteristic, complemented
26#35309C212yesmaximal, complemented
27#35302C211yesmaximal, characteristic, complemented
28#35258C212yesmaximal, complemented
29#34373C211yesmaximal, characteristic, complemented
30#3555—216no—
31C2×#563C2214yes—
32C2×Q82C2211yescharacteristic, complemented
33C2×#557C2212yescomplemented
34C2×#557C2211yescharacteristic, complemented
35C2×#556C2212yes—
36C2×#556C2211yescharacteristic, complemented
37C2×#556C2212yescomplemented
38C2×#554C2211yescharacteristic, complemented
39C2×#552C2212yes—
40C2×#544C2212yescomplemented
41#3455—216no—
42C2×#542C2212yes—
43C2×#542C2212yes—
44C2×#542C2212yes—
45C2×#541C2212yes—
46C2×#541C2212yes—
47C2×#541C2214yescomplemented
48C2×#541C2212yescomplemented
49C2×#540C2212yes—
50C2×#539C2211yescharacteristic
51C2×#539C2211yescharacteristic
52C2×#539C2212yes—
53C2×#538C2212yes—
54C2×#538C2211yescharacteristic
55C2×#538C2211yescharacteristic
56C2×#533C2211yescharacteristic
57C2×#533C2211yescharacteristic
58C2×#532C2211yescharacteristic
59C2×#529C2211yescharacteristic
60C2×#529C2212yes—
61C2×#529C2212yes—
62C2×#529C2212yes—
63C2×#529C2212yes—
64C2×#525C2212yes—
65C2×C4×#41C2212yes—
66C22×#117C2211yescharacteristic
67#2857C2212yescomplemented
68#2857C2212yescomplemented
69#2855C2212yes—
70#2855C2211yescharacteristic
71#2854C2211yescharacteristic
72#2851C2212yescomplemented
73#2850C2212yescomplemented
74#2848C2212yes—
75#2848C2211yescharacteristic
76#2847C2211yescharacteristic
77#2821C2212yescomplemented
78#2820C2214yescomplemented
79#2818C2212yescomplemented
80#2732C2214yescomplemented
81#2732C2214yescomplemented
82#2731C2214yes—
83#2730C2214yes—
84#2730C2214yes—
85#2730C2214yes—
86#2729C2214yescomplemented
87#2728C2214yescomplemented
88#2727C2214yes—
89#2727C2214yescomplemented
90#2725C2214yes—
91#2725C2214yescomplemented
92#2723C2214yes—
93#2721C2214yes—
94#2721C2214yescomplemented
95#2721C2214yescomplemented
96#2721C2214yescomplemented
97#2720C2214yes—
98#2720C2214yes—
99#2719C2214yescomplemented
100#2718C2214yes—
101#2718C2214yes—
102#2716C2214yes—
103#2716C2214yescomplemented
104#2714C2214yes—
105#2714C2214yes—
106#2714C2214yes—
107#2711C2214yes—
108#2711C2214yes—
109#2711C2214yes—
110#2710C2214yes—
111#2707C2214yes—
112#2707C2214yescomplemented
113#2706C2214yes—
114#2705C2214yes—
115#2705C2214yescomplemented
116#2694C2214yes—
117#2694C2214yescomplemented
118#2692C2214yes—
119#2690C2214yescomplemented
120#2685C2214yes—
121#2685C2214yes—
122#2678C2214yes—
123#2676C2214yes—
124#2676C2214yes—
125#2674C2214yes—
126#2674C2214yescomplemented
127#2670C2214yes—
128#2661C2214yes—
129#2635C2212yes—
130#2635C2212yes—
131#2629C2212yes—
132#2629C2212yescomplemented
133#2628C2212yes—
134#2628C2212yescomplemented
135#2624C2212yes—
136#2624C2212yes—
137#2621C2212yes—
138#2621C2212yescomplemented
139#2620C2214yes—
140#2620C2212yes—
141#2620C2212yescomplemented
142#2616C2212yes—
143#2616C2212yes—
144#2616C2212yes—
145#2615C2212yes—
146#2611C2214yes—
147#2610C2214yescomplemented
148#2609C2214yes—
149#2601C2214yes—
150#2599C2214yes—
151#2583C2212yes—
152#2579C2212yes—
153#2567C2212yescomplemented
154#2563C2212yes—
155#2562C2212yes—
156#2562C2212yes—
157#2562C2211yescharacteristic, complemented
158#2562C2211yescharacteristic, complemented
159#2561C2212yes—
160#2560C2214yes—
161#2558C2214yes—
162#2554C2214yes—
163#2554C2214yescomplemented
164#2552C2214yescomplemented
165#2550C2214yescomplemented
166#2548C2212yescomplemented
167#2547C2212yes—
168#2547C2212yescomplemented
169#2545C2214yes—
170#2542C2212yes—
171#2542C2212yes—
172#2542C2212yescomplemented
173#2540C2212yes—
174#2540C2212yes—
175#2540C2211yescharacteristic, complemented
176#2540C2211yescharacteristic, complemented
177#2538C2212yes—
178#2538C2212yes—
179#2538C2212yes—
180#2538C2212yescomplemented
181#2538C2212yescomplemented
182#2538C2214yescomplemented
183#2537C2212yes—
184#2536C2212yes—
185#2536C2212yes—
186#2536C2212yes—
187#2536C2212yescomplemented
188#2535C2212yes—
189#2535C2212yescomplemented
190#2534C2212yes—
191#2519C2214yescomplemented
192#2512C2214yes—
193#2512C2214yescomplemented
194#2491C2214yes—
195#2490C2214yes—
196#2484C2212yes—
197#2482C2212yes—
198#2481C2214yescomplemented
199#2479C2214yes—
200#2479C2214yescomplemented
201#2471C2214yes—
202#2471C2214yescomplemented
203#2469C2214yes—
204#2469C2214yescomplemented
205#2468C2214yes—
206#2468C2214yes—
207#2467C2214yescomplemented
208#2466C2214yes—
209#2466C2214yes—
210#2465C2214yescomplemented
211#2463C2214yescomplemented
212#2462C2214yescomplemented
213#2462C2214yescomplemented
214#2461C2214yes—
215#2461C2214yescomplemented
216#2460C2214yescomplemented
217#2460C2214yescomplemented
218#2459C2214yes—
219#2458C2214yescomplemented
220#2457C2214yes—
221#2455C2214yes—
222#2453C2214yescomplemented
223#2448C2214yes—
224#2448C2214yes—
225#2443C2214yes—
226#2441C2214yescomplemented
227#2429C2214yescomplemented
228#2426C2214yes—
229#2426C2214yes—
230#2423C2214yescomplemented
231#2421C2214yescomplemented
232#2414C2214yes—
233#2413C2212yes—
234#2411C2212yes—
235#2378C2212yes—
236#2378C2212yes—
237#2362C2214yes—
238#2355C2212yescomplemented
239#2355C2212yescomplemented
240#2355C2212yescomplemented
241Q8×C4⋊C4C2212yescomplemented
242#2336C2214yescomplemented
243#2331C2212yescomplemented
244#2327C2212yescomplemented
245#2324C2212yes—
246#2324C2212yescomplemented
247#2323C2212yes—
248#2323C2212yes—
249#2323C2212yes—
250#2323C2212yescomplemented
251#2323C2212yescomplemented
252#2323C2212yescomplemented
253#2314C2212yes—
254#2314C2212yes—
255C4×C22⋊Q8C2212yescomplemented
256C4×C22⋊Q8C2212yescomplemented
257C4×C22⋊Q8C2212yescomplemented
258C4×#121C2212yescomplemented
259#2285C2211yescharacteristic
260#2283C2211yescharacteristic
261C22×#41C2312yes—
262C24×C4C2311yescharacteristic
263#563—232no—
264Q82—28no—
265#557—28no—
266#557—216no—
267#556—216no—
268#556—216no—
269#556—28no—
270#554—28no—
271#552—216no—
272#544—216no—
273#542—216no—
274#542—216no—
275#542—216no—
276#541—216no—
277#541—216no—
278#541—232no—
279#541—216no—
280#540—216no—
281#539—28no—
282#539—28no—
283#539—216no—
284#538—28no—
285#538—28no—
286#538—216no—
287#533—28no—
288#533D4116yescomplemented
289#532—28no—
290C2×C4⋊Q8C2312yes—
291C2×C4⋊Q8C2311yescharacteristic
292C2×C4⋊Q8C2312yes—
293C2×C4⋊Q8C2311yescharacteristic
294C2×C4⋊Q8C2311yescharacteristic
295C2×C4⋊Q8C2312yes—
296C2×C4⋊Q8C2314yes—
297C2×C4⋊Q8C2314yes—
298C2×C4⋊Q8C2311yescharacteristic
299C2×C4⋊Q8C2311yescharacteristic
300C2×#127C2311yescharacteristic
301#529—216no—
302#529—216no—
303#529—216no—
304#529—216no—
305#529—28no—
306C2×#126C2312yes—
307C2×#126C2312yes—
308C2×#126C2312yes—
309C2×#126C2312yes—
310C2×#126C2312yes—
311C2×#126C2312yes—
312C2×#126C2312yes—
313C2×#126C2312yes—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#125C2312yes—
322C2×#125C2311yescharacteristic
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2314yes—
329C2×#125C2314yes—
330C2×#125C2314yes—
331C2×#125C2314yes—
332C2×#125C2314yes—
333C2×#125C2312yes—
334C2×#125C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2311yescharacteristic
338C2×#124C2314yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2312yes—
343C2×#124C2314yes—
344C2×#124C2314yes—
345#525—216no—
346C2×#123C2312yes—
347C2×#123C2312yes—
348C2×#123C2312yes—
349C2×#123C2312yes—
350C2×#123C2312yes—
351C2×#123C2312yes—
352C2×#123C2312yes—
353C2×#123C2312yes—
354C2×#123C2312yes—
355C2×#123C2312yes—
356C2×#123C2312yes—
357C2×#123C2314yes—
358C2×#123C2312yes—
359C2×C22⋊Q8C2314yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2314yes—
370C2×C22⋊Q8C2314yes—
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2314yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2311yescharacteristic
385C2×C22⋊Q8C2311yescharacteristic
386C2×#121C2311yescharacteristic
387C2×#121C2312yes—
388C2×#121C2311yescharacteristic
389C2×#121C2311yescharacteristic
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2314yes—
400C2×#120C2312yes—
401C2×#120C2312yes—
402C2×#120C2312yes—
403C4×#41—216no—
404C2×C4×Q8C2312yes—
405C2×C4×Q8C2311yescharacteristic
406C2×C4×Q8C2312yes—
407C2×C4×Q8C2312yes—
408C2×C4×Q8C2312yes—
409C2×C4×Q8C2312yes—
410C2×C4×Q8C2312yes—
411C2×C4×Q8C2312yes—
412C2×C4×Q8C2312yes—
413C2×C4×Q8C2312yes—
414C2×C4×Q8C2314yes—
415C2×C4×Q8C2314yes—
416C2×C4×Q8C2312yes—
417C2×C4×Q8C2311yescharacteristic
418C2×C4×Q8C2311yescharacteristic
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2311yescharacteristic
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2314yes—
436C2×#117—28no—
437C2×#117C2312yes—
438C2×#117C2312yes—
439C2×#117C2312yes—
440C2×#117C2312yes—
441C2×#117C2312yes—
442C2×#117C2312yes—
443C2×#117C2312yes—
444C2×#117C2312yes—
445C2×#117C2314yes—
446C2×#117C2312yes—
447C2×#117C2312yes—
448C2×#117C2312yes—
449C22×C4⋊C4C2311yescharacteristic
450C22×C4⋊C4C2311yescharacteristic
451C22×C4⋊C4C2312yes—
452C22×C22⋊C4C2311yescharacteristic
453C22×C22⋊C4C2311yescharacteristic
454C22×C42C2312yes—
455C22×C42C2312yes—
456C22×C42C2311yescharacteristic
457C22×C42C2311yescharacteristic
458#400C2314yes—
459#400C2314yes—
460#400C2312yes—
461#400C2312yes—
462#400C2314yes—
463#400C2314yes—
464#399C2314yes—
465#399C2314yes—
466#399C2312yes—
467#399C2312yes—
468#399C2314yes—
469#399C2314yes—
470#399C2314yes—
471#399C2314yes—
472#399C2314yes—
473#399C2314yes—
474#399C2314yes—
475#399C2314yes—
476#398C2314yes—
477#398C2314yes—
478#398C2314yes—
479#398C2314yes—
480#398C2314yes—
481#398C2314yes—
482#398C2314yes—
483#398C2314yes—
484#398C2314yes—
485#398C2314yes—
486#398C2314yes—
487#398C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2314yes—
516#395C2314yes—
517#395C2314yes—
518#395C2314yes—
519#395C2314yes—
520#395C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2312yes—
525#394C2312yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#393C2314yes—
545#393C2314yes—
546#393C2314yes—
547#393C2314yes—
548#393C2314yes—
549#392C2314yes—
550#392C2312yes—
551#392C2312yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#391C2314yes—
559#391C2312yes—
560#391C2312yes—
561#391C2312yes—
562#391C2314yes—
563#391C2314yes—
564#391C2314yes—
565#391C2314yes—
566#391C2314yes—
567#390C2314yes—
568#390C2314yes—
569#390C2312yes—
570#390C2314yes—
571#390C2314yes—
572#390C2314yes—
573#390C2314yes—
574#390C2314yes—
575#390C2314yes—
576#390C2314yes—
577#390C2314yes—
578#390C2314yes—
579#390C2314yes—
580#390C2314yes—
581#390C2314yes—
582#390C2314yes—
583#390C2314yes—
584#390C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2314yes—
591#389C2314yes—
592#389C2314yes—
593#389C2312yes—
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2314yes—
600#389C2314yes—
601#389C2314yes—
602#389C2314yes—
603#389C2314yes—
604#389C2314yes—
605#389C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#386C2314yes—
667#386C2312yes—
668#386C2312yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#385C2314yes—
679#385C2312yes—
680#385C2312yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#384C2314yes—
693#384C2312yes—
694#384C2312yes—
695#384C2312yes—
696#384C2314yes—
697#384C2314yes—
698#383C2312yes—
699#382C2314yes—
700#382C2312yes—
701#382C2312yes—
702#382C2312yes—
703#382C2312yes—
704#381C2314yes—
705#381C2312yes—
706#381C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2311yescharacteristic
719#380C2311yescharacteristic
720#380C2312yes—
721#380C2312yes—
722#380C2314yes—
723#380C2314yes—
724#380C2314yes—
725#380C2312yes—
726#380C2314yes—
727#379C2314yes—
728#379C2312yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C22⋊C4C2314yes—
744C4×C22⋊C4C2312yes—
745C4×C22⋊C4C2314yes—
746C4×C22⋊C4C2314yes—
747C4×C22⋊C4C2314yes—
748#376C2312yes—
749C25C2411yescharacteristic
750C2×#41—28no—
751C2×#41—44no—
752C2×#41—44no—
753C22×Q8C2411yescharacteristic
754C22×Q8C2412yes—
755C22×Q8C2412yes—
756C22×Q8C2412yes—
757C22×Q8C2414yes—
758C22×Q8C2412yes—
759C22×Q8C2411yescharacteristic
760C22×Q8C2411yescharacteristic
761C22×D4C2411yescharacteristic
762C22×D4C2412yes—
763C22×D4C2412yes—
764C22×D4C2412yes—
765C22×D4C2412yes—
766C22×D4C2412yes—
767C22×D4C2412yes—
768C22×D4C2412yes—
769C22×D4C2412yes—
770C22×D4C2412yes—
771C22×D4C2411yescharacteristic
772C22×D4C2411yescharacteristic
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2414yes—
776C23×C4—24no—
777C23×C4—44no—
778C23×C4C2412yes—
779C23×C4C2412yes—
780C23×C4C2412yes—
781C23×C4C2411yescharacteristic
782C23×C4C2411yescharacteristic
783C23×C4C2411yescharacteristic
784C23×C4C2411yescharacteristic
785C23×C4C2412yes—
786C23×C4C2414yes—
787C23×C4C2412yes—
788C23×C4C2412yes—
789C23×C4C2412yes—
790C23×C4C2412yes—
791C23×C4C2412yes—
792C23×C4C2411yescharacteristic
793C23×C4C2411yescharacteristic
794C4⋊Q8—216no—
795C4⋊Q8—216no—
796C4⋊Q8—28no—
797C4⋊Q8—24no—
798C4⋊Q8—24no—
799C4⋊Q8—24no—
800C4⋊Q8—28no—
801C4⋊Q8—28no—
802C4⋊Q8C2×D418yes—
803C4⋊Q8C2×D418yes—
804#127—24no—
805#126—28no—
806#126—28no—
807#126—28no—
808#126—28no—
809#126—28no—
810#126—28no—
811#126—28no—
812#126—28no—
813#126—216no—
814#126—216no—
815#126—216no—
816#126—216no—
817#126—216no—
818#126—216no—
819#126—28no—
820#125—28no—
821#125—28no—
822#125—28no—
823#125—28no—
824#125—216no—
825#125—216no—
826#125—216no—
827#125—216no—
828#125—216no—
829#125—28no—
830#125—24no—
831#125—28no—
832#125—28no—
833#125C2×D4116yes—
834#124—28no—
835#124—28no—
836#124—28no—
837#124—28no—
838#124—216no—
839#124—24no—
840#124—28no—
841#124—28no—
842#124—84no—
843#124—84no—
844#123—28no—
845#123—28no—
846#123—28no—
847#123—28no—
848#123—28no—
849#123—28no—
850#123—28no—
851#123—28no—
852#123—28no—
853#123—28no—
854#123—28no—
855#123—216no—
856#123—82no—
857C22⋊Q8—28no—
858C22⋊Q8—28no—
859C22⋊Q8—28no—
860C22⋊Q8—28no—
861C22⋊Q8—28no—
862C22⋊Q8—28no—
863C22⋊Q8—216no—
864C22⋊Q8—24no—
865C22⋊Q8—28no—
866C22⋊Q8—28no—
867C22⋊Q8—28no—
868C22⋊Q8—28no—
869C22⋊Q8—216no—
870C22⋊Q8—216no—
871C22⋊Q8—44no—
872C22⋊Q8—44no—
873C22⋊Q8—44no—
874C22⋊Q8—44no—
875C22⋊Q8—44no—
876C22⋊Q8—44no—
877C22⋊Q8—44no—
878C22⋊Q8—44no—
879C22⋊Q8—44no—
880C22⋊Q8—84no—
881C22⋊Q8C2×D418yes—
882C22⋊Q8C2×D418yes—
883C22⋊Q8C2×D4116yes—
884#121—24no—
885#121—24no—
886#121—24no—
887#121—28no—
888#121—28no—
889#121—28no—
890#121—28no—
891#121—28no—
892#121—28no—
893#121—28no—
894#121—44no—
895#121—44no—
896#121—44no—
897#121—84no—
898#120—28no—
899#120—28no—
900#120—82no—
901C4×Q8—28no—
902C4×Q8—28no—
903C4×Q8—28no—
904C4×Q8—28no—
905C4×Q8—216no—
906C4×Q8—24no—
907C4×Q8—28no—
908C4×Q8—28no—
909C4×Q8—28no—
910C4×Q8—28no—
911C4×Q8—28no—
912C4×Q8—84no—
913C4×Q8C2×D418yes—
914C4×Q8C2×D4116yes—
915C4×Q8C2×D418yes—
916C4×D4—28no—
917C4×D4—28no—
918C4×D4—28no—
919C4×D4—28no—
920C4×D4—28no—
921C4×D4—28no—
922C4×D4—28no—
923C4×D4—28no—
924C4×D4—28no—
925C4×D4—28no—
926C4×D4—28no—
927C4×D4—28no—
928C4×D4—24no—
929C4×D4—24no—
930C4×D4—24no—
931C4×D4—28no—
932C4×D4—84no—
933#117—28no—
934#117—216no—
935#117—28no—
936#117—28no—
937#117—28no—
938#117—28no—
939#117—28no—
940#117—28no—
941#117—28no—
942#117—28no—
943#117—82no—
944#117C2×D4116yes—
945C2×C4⋊C4—24no—
946C2×C4⋊C4—24no—
947C2×C4⋊C4—28no—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C22⋊C4—24no—
1016C2×C22⋊C4—24no—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C42—24no—
1078C2×C42—28no—
1079C2×C42—28no—
1080C2×C42C2×D418yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2414yes—
1084C2×C42C2412yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2414yes—
1094C2×C42C2412yes—
1095C2×C42C2414yes—
1096C2×C42C2412yes—
1097C2×C42C2414yes—
1098C2×C42C2414yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143C24—22no—
1144C24—42no—
1145C24—41no—
1146C24—42no—
1147C24—41no—
1148C24C2512yes—
1149C24C2512yes—
1150C24C2512yes—
1151C24C2512yes—
1152C24C2511yescharacteristic
1153#41—432no—
1154C2×Q8—22no—
1155C2×Q8—24no—
1156C2×Q8—24no—
1157C2×Q8—24no—
1158C2×Q8—28no—
1159C2×Q8—24no—
1160C2×Q8—24no—
1161C2×Q8—24no—
1162C2×Q8—42no—
1163C2×Q8—42no—
1164C2×Q8—42no—
1165C2×Q8—42no—
1166C2×Q8—42no—
1167C2×Q8—42no—
1168C2×Q8—44no—
1169C2×Q8—42no—
1170C2×Q8—42no—
1171C2×Q8—44no—
1172C2×Q8C22×D414yes—
1173C2×Q8C22×D414yes—
1174C2×Q8C22×D418yes—
1175C2×D4—24no—
1176C2×D4—24no—
1177C2×D4—24no—
1178C2×D4—22no—
1179C2×D4—24no—
1180C2×D4—24no—
1181C2×D4—24no—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—24no—
1187C2×D4—24no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D4—44no—
1195C2×D4—42no—
1196C2×D4—44no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—44no—
1210C2×D4—42no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C22×C4—24no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—28no—
1237C22×C4—41no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—41no—
1242C22×C4—42no—
1243C22×C4—44no—
1244C22×C4—42no—
1245C22×C4—44no—
1246C22×C4—42no—
1247C22×C4—41no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—44no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—41no—
1257C22×C4—416no—
1258C22×C4C22×D414yes—
1259C22×C4C22×D414yes—
1260C22×C4C22×D414yes—
1261C22×C4C2514yes—
1262C22×C4C2512yes—
1263C22×C4C2514yes—
1264C22×C4C2514yes—
1265C22×C4C2514yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2514yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2514yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—28no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—28no—
1298C4⋊C4—24no—
1299C4⋊C4—22no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—28no—
1311C4⋊C4—28no—
1312C4⋊C4—28no—
1313C4⋊C4—28no—
1314C4⋊C4—28no—
1315C4⋊C4—24no—
1316C4⋊C4—28no—
1317C4⋊C4—24no—
1318C4⋊C4—28no—
1319C4⋊C4—28no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4C22×D414yes—
1344C4⋊C4C22×D418yes—
1345C4⋊C4C22×D414yes—
1346C4⋊C4C22×D418yes—
1347C4⋊C4C22×D418yes—
1348C4⋊C4C22×D418yes—
1349C4⋊C4C22×D418yes—
1350C4⋊C4C22×D418yes—
1351C4⋊C4C22×D418yes—
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—24no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—28no—
1366C22⋊C4—28no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—28no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4C22×D418yes—
1411C22⋊C4C22×D418yes—
1412C42—24no—
1413C42—24no—
1414C42—24no—
1415C42—24no—
1416C42—24no—
1417C42—24no—
1418C42—28no—
1419C42—24no—
1420C42—28no—
1421C42—28no—
1422C42—28no—
1423C42—44no—
1424C42—44no—
1425C42—42no—
1426C42—44no—
1427C42—44no—
1428C42—42no—
1429C42—44no—
1430C42C22×D418yes—
1431C42C22×D418yes—
1432C42C22×D414yes—
1433C42C22×D414yes—
1434C42C22×D414yes—
1435C42C22×D414yes—
1436C23—22no—
1437C23—21no—
1438C23—22no—
1439C23—21no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—24no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—24no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—44no—
1467C23—82no—
1468C23—82no—
1469C23—84no—
1470C23—84no—
1471C23C23×D412yes—
1472C23C2611yescharacteristic
1473Q8—48no—
1474Q8—44no—
1475Q8—44no—
1476Q8—48no—
1477Q8—44no—
1478Q8—48no—
1479Q8—84no—
1480Q8—88no—
1481D4—48no—
1482D4—48no—
1483D4—48no—
1484D4—44no—
1485D4—84no—
1486D4—84no—
1487D4—84no—
1488D4—82no—
1489D4—82no—
1490D4—84no—
1491D4—84no—
1492D4—84no—
1493D4—88no—
1494D4—164no—
1495D4—164no—
1496C2×C4—22no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—28no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—24no—
1524C2×C4—24no—
1525C2×C4—24no—
1526C2×C4—24no—
1527C2×C4—24no—
1528C2×C4—24no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—24no—
1537C2×C4—24no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—24no—
1543C2×C4—24no—
1544C2×C4—24no—
1545C2×C4—24no—
1546C2×C4—24no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—44no—
1553C2×C4—44no—
1554C2×C4—48no—
1555C2×C4—48no—
1556C2×C4—44no—
1557C2×C4—48no—
1558C2×C4—48no—
1559C2×C4—48no—
1560C2×C4—84no—
1561C2×C4—88no—
1562C2×C4—84no—
1563C2×C4—84no—
1564C2×C4—84no—
1565C2×C4—82no—
1566C2×C4—82no—
1567C2×C4C23×D412yes—
1568C2×C4C23×D414yes—
1569C2×C4C23×D414yes—
1570C2×C4C23×D414yes—
1571C2×C4C23×D412yes—
1572C2×C4C23×D412yes—
1573C2×C4C23×D414yes—
1574C2×C4C23×D412yes—
1575C2×C4C23×D412yes—
1576C2×C4C23×D412yes—
1577C2×C4#58514yes—
1578C22—22no—
1579C22—22no—
1580C22—22no—
1581C22—42no—
1582C22—42no—
1583C22—42no—
1584C22—42no—
1585C22—42no—
1586C22—42no—
1587C22—42no—
1588C22—42no—
1589C22—42no—
1590C22—42no—
1591C22—42no—
1592C22—42no—
1593C22—42no—
1594C22—42no—
1595C22—42no—
1596C22—44no—
1597C22—42no—
1598C22—42no—
1599C22—42no—
1600C22—42no—
1601C22—42no—
1602C22—42no—
1603C22—44no—
1604C22—42no—
1605C22—42no—
1606C22—42no—
1607C22—42no—
1608C22—42no—
1609C22—88no—
1610C22C24×D411yescharacteristic
1611C22C2×#58512yes—
1612C22H(7,𝔽2)11yescharacteristic
1613C222−1+611yescharacteristic
1614C222−1+612yes—
1615C4—22no—
1616C4—22no—
1617C4—22no—
1618C4—24no—
1619C4—24no—
1620C4—22no—
1621C4—22no—
1622C4—24no—
1623C4—24no—
1624C4—42no—
1625C4—42no—
1626C4—42no—
1627C4—44no—
1628C4—42no—
1629C4—42no—
1630C4—44no—
1631C4—42no—
1632C4—42no—
1633C4—42no—
1634C4—44no—
1635C4—44no—
1636C4—44no—
1637C4—44no—
1638C4#348714yes—
1639C2—42no—
1640C2—82no—
1641C2—82no—
1642C2—82no—
1643C2—82no—
1644C2C2×#348711yescharacteristic
1645C2#6285311yescharacteristic
1646C2#6285911yescharacteristic
1647C2#6288412yes—
1648C2#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×#3555C2semidirect
2. C2×#3455C2semidirect
3. #50173C2semidirect
4. #50172C2semidirect
5. #49571C2semidirect
6. #48783C2semidirect
7. #48782C2semidirect
8. #47860C2semidirect
9. #47823C2semidirect
10. #47798C2semidirect
11. #47767C2semidirect
12. #47721C2semidirect
13. #39139C2semidirect
14. #39136C2semidirect
15. #39131C2semidirect
16. #39131C2semidirect
17. #39127C2semidirect
18. #39125C2semidirect
19. #39119C2semidirect
20. #39118C2semidirect
21. #37640C2semidirect
22. #37550C2semidirect
23. #37375C2semidirect
24. #37271C2semidirect
25. #35325C2semidirect
26. #35309C2semidirect
27. #35302C2semidirect
28. #35258C2semidirect
29. #34373C2semidirect
32. C2×Q82C22semidirect
33. C2×#557C22semidirect
34. C2×#557C22semidirect
36. C2×#556C22semidirect
37. C2×#556C22semidirect
38. C2×#554C22semidirect
40. C2×#544C22semidirect
47. C2×#541C22semidirect
48. C2×#541C22semidirect
67. #2857C22semidirect
68. #2857C22semidirect
72. #2851C22semidirect
73. #2850C22semidirect
77. #2821C22semidirect
78. #2820C22semidirect
79. #2818C22semidirect
80. #2732C22semidirect
81. #2732C22semidirect
86. #2729C22semidirect
87. #2728C22semidirect
89. #2727C22semidirect
91. #2725C22semidirect
94. #2721C22semidirect
95. #2721C22semidirect
96. #2721C22semidirect
99. #2719C22semidirect
103. #2716C22semidirect
112. #2707C22semidirect
115. #2705C22semidirect
117. #2694C22semidirect
119. #2690C22semidirect
126. #2674C22semidirect
132. #2629C22semidirect
134. #2628C22semidirect
138. #2621C22semidirect
141. #2620C22semidirect
147. #2610C22semidirect
153. #2567C22semidirect
157. #2562C22semidirect
158. #2562C22semidirect
163. #2554C22semidirect
164. #2552C22semidirect
165. #2550C22semidirect
166. #2548C22semidirect
168. #2547C22semidirect
172. #2542C22semidirect
175. #2540C22semidirect
176. #2540C22semidirect
180. #2538C22semidirect
181. #2538C22semidirect
182. #2538C22semidirect
187. #2536C22semidirect
189. #2535C22semidirect
191. #2519C22semidirect
193. #2512C22semidirect
198. #2481C22semidirect
200. #2479C22semidirect
202. #2471C22semidirect
204. #2469C22semidirect
207. #2467C22semidirect
210. #2465C22semidirect
211. #2463C22semidirect
212. #2462C22semidirect
213. #2462C22semidirect
215. #2461C22semidirect
216. #2460C22semidirect
217. #2460C22semidirect
219. #2458C22semidirect
222. #2453C22semidirect
226. #2441C22semidirect
227. #2429C22semidirect
230. #2423C22semidirect
231. #2421C22semidirect
238. #2355C22semidirect
239. #2355C22semidirect
240. #2355C22semidirect
241. Q8×C4⋊C4C22semidirect
242. #2336C22semidirect
243. #2331C22semidirect
244. #2327C22semidirect
246. #2324C22semidirect
250. #2323C22semidirect
251. #2323C22semidirect
252. #2323C22semidirect
255. C4×C22⋊Q8C22semidirect
256. C4×C22⋊Q8C22semidirect
257. C4×C22⋊Q8C22semidirect
258. C4×#121C22semidirect
288. #533D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35552
C2×#34552
#501732
#501722
#495712
#487832
#487822
#478602
#478232
#477982
#477672
#477212
#391392
#391362
#391312
#391272
#391252
#391192
#391182
#376402
#375502
#373752
#372712
#353252
#353092
#353022
#352582
#343732