Finite Group Databasebeta

← #7678455

Subgroups — #7678455

Order 512.

6810 conjugacy classes of subgroups.

The subgroup lattice has 1621 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3523C211yesmaximal, characteristic, complemented
2C2×Q8×#41C211yesmaximal, characteristic, complemented
3#59809C212yesmaximal, complemented
4#59651C212yesmaximal, complemented
5#59317C212yesmaximal, complemented
6#59149C214yesmaximal, complemented
7#59127C212yesmaximal, complemented
8#59077C214yesmaximal, complemented
9#45418C211yesmaximal, characteristic, complemented
10#45389C211yesmaximal, characteristic, complemented
11#45338C211yesmaximal, characteristic, complemented
12#45336C211yesmaximal, characteristic, complemented
13#45336C211yesmaximal, characteristic, complemented
14#45334C211yesmaximal, characteristic, complemented
15#45143C211yesmaximal, characteristic, complemented
16#45138C211yesmaximal, characteristic, complemented
17#44845C214yesmaximal, complemented
18#44780C214yesmaximal, complemented
19#39855C214yesmaximal, complemented
20#38375C214yesmaximal, complemented
21#38371C214yesmaximal, complemented
22#36227C214yesmaximal, complemented
23#35665C212yesmaximal, complemented
24#35637C212yesmaximal, complemented
25#35245C211yesmaximal, characteristic, complemented
26#35244C212yesmaximal, complemented
27#34971C211yesmaximal, characteristic, complemented
28#34876C211yesmaximal, characteristic
29#34291C212yesmaximal, complemented
30#34221C211yesmaximal, characteristic, complemented
31C2×#2327C211yesmaximal, characteristic, complemented
32#3523—216no—
33Q8×#41—216no—
34C2×Q82C2211yescharacteristic
35C2×#557C2211yescharacteristic
36C2×#557C2211yescharacteristic
37C2×#557C2212yes—
38C2×#557C2211yescharacteristic
39C2×#557C2212yes—
40C2×#556C2211yescharacteristic
41C2×#556C2212yes—
42C2×#554C2214yes—
43C2×#554C2211yescharacteristic
44C2×#554C2212yes—
45C2×#554C2212yes—
46C2×#552C2212yes—
47C2×#552C2214yes—
48C2×D4×Q8C2212yes—
49C2×D4×Q8C2211yescharacteristic
50C2×D4×Q8C2211yescharacteristic
51C2×D4×Q8C2212yes—
52C2×D4×Q8C2212yes—
53C2×#541C2214yes—
54C2×#541C2212yes—
55C2×#533C2212yes—
56C2×#533C2212yes—
57C2×#533C2214yes—
58C2×#533C2212yes—
59C2×#533C2211yescharacteristic
60C22×C4⋊Q8C2211yescharacteristic
61C2×#529C2211yescharacteristic
62C2×#529C2212yes—
63C2×#519C2212yes—
64C2×C4×#41C2211yescharacteristic
65C2×C4×#41C2212yes—
66C22×C4×Q8C2211yescharacteristic
67C22×C4×Q8C2211yescharacteristic
68C22×C4×Q8C2212yes—
69#2853C2214yes—
70#2852C2214yes—
71#2851C2214yes—
72#2734C2214yes—
73#2731C2214yes—
74#2730C2214yes—
75#2729C2214yes—
76#2723C2214yes—
77#2721C2214yes—
78#2719C2214yes—
79#2719C2214yes—
80#2719C2214yes—
81#2719C2214yes—
82#2716C2214yes—
83#2716C2214yes—
84#2713C2214yes—
85#2713C2214yes—
86#2713C2214yes—
87#2713C2214yes—
88#2692C2214yes—
89#2690C2214yes—
90#2690C2214yes—
91#2690C2214yes—
92#2677C2214yes—
93#2677C2214yes—
94#2677C2214yes—
95#2677C2214yes—
96#2637C2214yes—
97#2634C2214yes—
98#2634C2212yes—
99#2632C2212yes—
100#2611C2214yes—
101#2611C2212yes—
102#2610C2212yes—
103#2609C2214yes—
104#2604C2212yes—
105#2604C2214yes—
106#2604C2214yes—
107#2603C2212yes—
108#2601C2214yes—
109#2599C2214yes—
110#2599C2214yes—
111#2599C2214yes—
112#2591C2212yes—
113#2583C2212yes—
114#2581C2211yescharacteristic
115#2581C2211yescharacteristic
116#2581C2211yescharacteristic
117#2581C2211yescharacteristic
118#2581C2214yes—
119#2565C2214yes—
120#2564C2212yes—
121#2560C2214yes—
122#2560C2214yes—
123#2556C2214yes—
124#2556C2214yes—
125#2551C2214yes—
126#2550C2214yes—
127#2550C2212yes—
128#2549C2214yes—
129#2546C2212yes—
130#2543C2212yes—
131#2542C2212yes—
132#2536C2211yescharacteristic
133#2536C2211yescharacteristic
134#2536C2211yescharacteristic
135#2536C2212yes—
136#2536C2211yescharacteristic
137#2519C2214yes—
138#2519C2214yes—
139#2506C2214yes—
140#2498C2212yes—
141#2492C2212yes—
142#2492C2214yes—
143#2489C2212yes—
144#2489C2214yes—
145#2488C2214yes—
146#2488C2214yes—
147#2487C2212yes—
148#2486C2212yes—
149#2484C2212yes—
150#2481C2214yes—
151#2477C2214yes—
152#2475C2214yes—
153#2473C2214yes—
154#2469C2214yes—
155#2469C2214yes—
156#2467C2214yes—
157#2465C2214yes—
158#2465C2214yes—
159#2465C2214yes—
160#2463C2214yes—
161#2463C2214yes—
162#2462C2214yes—
163#2462C2214yes—
164#2462C2214yes—
165#2462C2214yes—
166#2462C2214yes—
167#2460C2214yes—
168#2460C2214yes—
169#2460C2214yes—
170#2453C2212yes—
171#2452C2214yes—
172#2451C2212yes—
173#2450C2214yes—
174#2450C2214yes—
175#2449C2214yes—
176#2449C2214yes—
177#2446C2212yes—
178#2446C2214yes—
179#2446C2212yes—
180#2446C2214yes—
181#2442C2212yes—
182#2440C2214yes—
183#2439C2212yes—
184#2438C2214yes—
185#2438C2214yes—
186#2434C2212yes—
187#2434C2212yes—
188#2430C2212yes—
189#2429C2212yes—
190#2429C2212yes—
191#2429C2212yes—
192#2429C2212yes—
193#2425C2214yes—
194#2425C2214yes—
195#2423C2214yes—
196#2421C2212yes—
197#2421C2212yes—
198#2421C2214yes—
199#2417C2212yes—
200#2415C2212yes—
201#2409C2212yes—
202#2409C2212yes—
203#2409C2212yes—
204#2409C2212yes—
205#2406C2212yes—
206#2399C2211yescharacteristic
207#2399C2212yes—
208#2398C2211yescharacteristic
209#2398C2211yescharacteristic
210#2398C2212yes—
211#2397C2211yescharacteristic
212#2371C2214yes—
213#2368C2214yes—
214#2365C2214yes—
215#2365C2212yes—
216#2364C2214yes—
217#2362C2212yes—
218#2362C2214yes—
219#2361C2214yes—
220#2360C2214yes—
221#2360C2212yes—
222#2359C2214yes—
223#2359C2214yes—
224#2356C2214yes—
225#2352C2212yes—
226#2352C2214yes—
227#2351C2212yes—
228#2343C2214yes—
229Q8×C22⋊C4C2212yes—
230Q8×C22⋊C4C2212yes—
231#2331C2211yescharacteristic
232#2331C2211yescharacteristic
233#2327C2211yescharacteristic
234#2327C2211yescharacteristic
235#2327C2211yescharacteristic
236#2327C2214yes—
237#2327C2211yescharacteristic
238#2327C2211yescharacteristic
239#2327C2211yescharacteristic
240#2327C2211yescharacteristic
241#2327C2214yes—
242#2327C2211yescharacteristic
243#2327C2211yescharacteristic
244#2327C2211yescharacteristic
245#2327C2214yes—
246#2323C2212yes—
247#2323C2212yes—
248#2323C2214yes—
249#2320C2212yes—
250C4×C22⋊Q8C2212yes—
251C4×C22⋊Q8C2212yes—
252C4×C22⋊Q8C2212yes—
253C4×C22⋊Q8C2214yes—
254C4×C22⋊Q8C2212yes—
255C4×#123C2214yes—
256C4×#121C2212yes—
257C4×#121C2212yes—
258C2×#391C2211yescharacteristic
259C2×#391C2211yescharacteristic
260#2290C2212yes—
261#2290C2212yes—
262#2290C2214yes—
263C2×#387C2214yes—
264C2×#387C2214yes—
265#2283C2211yescharacteristic
266C2×#382C2211yescharacteristic
267#2276C2212yes—
268C2×#376C2211yescharacteristic
269C22×#41C2311yescharacteristic
270C23×Q8C2312yes—
271C23×Q8C2312yes—
272C23×Q8C2311yescharacteristic
273C23×Q8C2311yescharacteristic
274Q82—28no—
275#557—28no—
276#557—28no—
277#557—28no—
278#557—216no—
279#557—216no—
280#556—28no—
281#556—216no—
282#554—28no—
283#554—216no—
284#554—216no—
285#554—232no—
286#552—216no—
287#552—232no—
288D4×Q8—28no—
289D4×Q8—28no—
290D4×Q8—216no—
291D4×Q8—216no—
292D4×Q8—216no—
293#541—232no—
294#541—216no—
295#533—216no—
296#533—232no—
297#533—216no—
298#533—216no—
299#533D4116yescomplemented
300C2×C4⋊Q8—28no—
301C2×C4⋊Q8C2314yes—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2314yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2314yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2314yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2314yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2311yescharacteristic
319#529—216no—
320#529—28no—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#126C2312yes—
325C2×#126C2314yes—
326C2×#125C2314yes—
327C2×#125C2311yescharacteristic
328C2×#125C2312yes—
329C2×#125C2314yes—
330C2×#125C2312yes—
331C2×#125C2314yes—
332C2×#125C2314yes—
333C2×#125C2314yes—
334C2×#125C2312yes—
335C2×#125C2314yes—
336C2×#125C2312yes—
337C2×#125C2314yes—
338C2×#125C2314yes—
339C2×#125C2312yes—
340C2×#124C2311yescharacteristic
341C2×#124C2312yes—
342C2×#123C2312yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2314yes—
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2314yes—
360C2×C22⋊Q8C2314yes—
361C2×C22⋊Q8C2314yes—
362C2×C22⋊Q8C2314yes—
363C2×C22⋊Q8C2314yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×#121C2311yescharacteristic
369C2×#121C2312yes—
370C2×#121C2312yes—
371#519—216no—
372C4×#41—216no—
373C4×#41—28no—
374C2×C4×Q8—216no—
375C2×C4×Q8—28no—
376C2×C4×Q8—28no—
377C2×C4×Q8C2314yes—
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2314yes—
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2311yescharacteristic
387C2×C4×Q8C2314yes—
388C2×C4×Q8C2312yes—
389C2×C4×Q8C2312yes—
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2312yes—
392C2×C4×Q8C2311yescharacteristic
393C2×C4×Q8C2311yescharacteristic
394C2×C4×Q8C2312yes—
395C2×C4×Q8C2312yes—
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2311yescharacteristic
398C2×C4×Q8C2314yes—
399C2×C4×Q8C2312yes—
400C2×C4×Q8C2312yes—
401C2×C4×Q8C2314yes—
402C2×C4×Q8C2312yes—
403C2×C4×Q8C2312yes—
404C2×C4×Q8C2312yes—
405C2×C4×Q8C2312yes—
406C2×C4×Q8C2312yes—
407C2×C4×Q8C2312yes—
408C2×C4×Q8C2312yes—
409C2×C4×Q8C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2314yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2314yes—
415C2×C4×D4C2314yes—
416C2×C4×D4C2314yes—
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×#117C2312yes—
426C2×#117C2314yes—
427C2×#117C2312yes—
428C2×#117C2314yes—
429C2×#117C2312yes—
430C2×#117C2314yes—
431C2×#117C2314yes—
432C2×#117C2311yescharacteristic
433C2×#117C2312yes—
434C22×C4⋊C4C2312yes—
435C22×C4⋊C4C2312yes—
436C22×C4⋊C4C2314yes—
437C22×C4⋊C4C2314yes—
438C22×C4⋊C4C2312yes—
439C22×C4⋊C4C2311yescharacteristic
440C22×C4⋊C4C2311yescharacteristic
441C22×C42C2314yes—
442C22×C42C2312yes—
443C22×C42C2312yes—
444C22×C42C2312yes—
445C22×C42C2311yescharacteristic
446C22×C42C2311yescharacteristic
447C22×C42C2311yescharacteristic
448#400C2312yes—
449#400C2312yes—
450#400C2312yes—
451#400C2312yes—
452#400C2312yes—
453#400C2314yes—
454#400C2314yes—
455#400C2314yes—
456#400C2312yes—
457#400C2314yes—
458#400C2314yes—
459#400C2314yes—
460#400C2314yes—
461#400C2314yes—
462#400C2314yes—
463#399C2312yes—
464#399C2314yes—
465#399C2312yes—
466#399C2314yes—
467#399C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2314yes—
471#398C2314yes—
472#398C2314yes—
473#398C2312yes—
474#398C2312yes—
475#398C2314yes—
476#398C2314yes—
477#398C2314yes—
478#398C2314yes—
479#398C2312yes—
480#398C2314yes—
481#398C2312yes—
482#398C2314yes—
483#398C2314yes—
484#398C2314yes—
485#398C2314yes—
486#398C2314yes—
487#398C2312yes—
488#398C2312yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2312yes—
494#397C2312yes—
495#397C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#395C2312yes—
503#395C2312yes—
504#395C2312yes—
505#395C2312yes—
506#395C2312yes—
507#395C2314yes—
508#395C2314yes—
509#395C2314yes—
510#395C2314yes—
511#395C2314yes—
512#395C2314yes—
513#395C2312yes—
514#395C2314yes—
515#395C2314yes—
516#395C2314yes—
517#395C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2312yes—
521#394C2312yes—
522#394C2312yes—
523#394C2312yes—
524#394C2312yes—
525#394C2312yes—
526#393C2314yes—
527#393C2314yes—
528#393C2312yes—
529#393C2314yes—
530#393C2314yes—
531#393C2314yes—
532#393C2312yes—
533#393C2314yes—
534#392C2312yes—
535#392C2312yes—
536#391C2314yes—
537#391C2314yes—
538#391C2314yes—
539#391C2312yes—
540#391C2312yes—
541#391C2312yes—
542#391C2312yes—
543#391C2314yes—
544#391C2312yes—
545#391C2312yes—
546#391C2314yes—
547#391C2314yes—
548#391C2311yescharacteristic
549#391C2311yescharacteristic
550#391C2311yescharacteristic
551#391C2311yescharacteristic
552#391C2311yescharacteristic
553#391C2311yescharacteristic
554#391C2311yescharacteristic
555#391C2311yescharacteristic
556#391C2314yes—
557#391C2314yes—
558#391C2314yes—
559#391C2314yes—
560#391C2314yes—
561#391C2314yes—
562#390C2312yes—
563#390C2314yes—
564#390C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2314yes—
573#389C2314yes—
574#389C2312yes—
575#389C2314yes—
576#389C2314yes—
577#389C2312yes—
578#389C2314yes—
579#389C2314yes—
580#389C2314yes—
581#389C2312yes—
582#389C2312yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2314yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
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#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#386C2312yes—
671#386C2314yes—
672#386C2312yes—
673#386C2312yes—
674#386C2314yes—
675#386C2314yes—
676#386C2312yes—
677#386C2314yes—
678#386C2312yes—
679#386C2312yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2312yes—
684#386C2312yes—
685#385C2312yes—
686#385C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2312yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2312yes—
702#385C2314yes—
703#385C2314yes—
704#384C2314yes—
705#383C2314yes—
706#383C2312yes—
707#382C2314yes—
708#382C2314yes—
709#382C2311yescharacteristic
710#382C2311yescharacteristic
711#382C2311yescharacteristic
712#382C2311yescharacteristic
713#382C2311yescharacteristic
714#382C2314yes—
715#382C2311yescharacteristic
716#382C2314yes—
717#381C2312yes—
718#381C2314yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2314yes—
723#380C2312yes—
724#380C2314yes—
725#380C2314yes—
726#380C2312yes—
727#380C2314yes—
728#380C2312yes—
729#380C2312yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C22⋊C4C2314yes—
746C4×C22⋊C4C2314yes—
747C4×C22⋊C4C2312yes—
748C4×C22⋊C4C2312yes—
749C4×C22⋊C4C2314yes—
750C4×C22⋊C4C2312yes—
751C4×C22⋊C4C2314yes—
752C4×C22⋊C4C2314yes—
753C4×C22⋊C4C2314yes—
754C4×C22⋊C4C2314yes—
755C4×C22⋊C4C2314yes—
756C4×C22⋊C4C2312yes—
757C4×C22⋊C4C2312yes—
758#376C2311yescharacteristic
759#376C2311yescharacteristic
760#376C2311yescharacteristic
761#376C2312yes—
762#376C2312yes—
763#376C2311yescharacteristic
764#376C2314yes—
765#376C2312yes—
766C2×#95C2312yes—
767C2×#95C2312yes—
768C2×#95C2314yes—
769C2×#95C2314yes—
770C2×#95C2314yes—
771C2×#41—28no—
772C2×#41—24no—
773C22×Q8—28no—
774C22×Q8—28no—
775C22×Q8—24no—
776C22×Q8—24no—
777C22×Q8—28no—
778C22×Q8—28no—
779C22×Q8—24no—
780C22×Q8—24no—
781C22×Q8—42no—
782C22×Q8—42no—
783C22×Q8—44no—
784C22×Q8—44no—
785C22×Q8C2411yescharacteristic
786C22×Q8C2411yescharacteristic
787C22×Q8C2411yescharacteristic
788C22×Q8C2414yes—
789C22×Q8C2414yes—
790C22×Q8C2412yes—
791C22×Q8C2412yes—
792C22×Q8C2412yes—
793C22×Q8C2411yescharacteristic
794C22×Q8C2411yescharacteristic
795C22×Q8C2411yescharacteristic
796C22×Q8C2414yes—
797C22×Q8C2412yes—
798C22×D4C2411yescharacteristic
799C22×D4C2412yes—
800C22×D4C2412yes—
801C22×D4C2412yes—
802C22×D4C2411yescharacteristic
803C22×D4C2412yes—
804C23×C4C2412yes—
805C23×C4C2412yes—
806C23×C4C2412yes—
807C23×C4C2412yes—
808C23×C4C2412yes—
809C23×C4C2412yes—
810C23×C4C2412yes—
811C23×C4C2414yes—
812C23×C4C2414yes—
813C23×C4C2411yescharacteristic
814C23×C4C2411yescharacteristic
815C23×C4C2412yes—
816C23×C4C2412yes—
817C23×C4C2414yes—
818C23×C4C2412yes—
819C23×C4C2411yescharacteristic
820C4⋊Q8—28no—
821C4⋊Q8—216no—
822C4⋊Q8—28no—
823C4⋊Q8—28no—
824C4⋊Q8—24no—
825C4⋊Q8—24no—
826C4⋊Q8—216no—
827C4⋊Q8—28no—
828C4⋊Q8—28no—
829C4⋊Q8—28no—
830C4⋊Q8—28no—
831C4⋊Q8—216no—
832C4⋊Q8—216no—
833C4⋊Q8—216no—
834C4⋊Q8—24no—
835C4⋊Q8C2×D418yes—
836C4⋊Q8C2×D418yes—
837C4⋊Q8#4118yescomplemented
838#126—216no—
839#126—216no—
840#126—216no—
841#126—28no—
842#126—216no—
843#125—28no—
844#125—216no—
845#125—216no—
846#125—216no—
847#125—28no—
848#125—28no—
849#125—216no—
850#125—216no—
851#125—216no—
852#125—216no—
853#125—28no—
854#125—24no—
855#125—216no—
856#125C2×D4116yes—
857#124—28no—
858#124—24no—
859#123—216no—
860#123—28no—
861#123—216no—
862C22⋊Q8—28no—
863C22⋊Q8—216no—
864C22⋊Q8—28no—
865C22⋊Q8—28no—
866C22⋊Q8—28no—
867C22⋊Q8—24no—
868C22⋊Q8—216no—
869C22⋊Q8—216no—
870C22⋊Q8—28no—
871C22⋊Q8—216no—
872C22⋊Q8—216no—
873C22⋊Q8—216no—
874C22⋊Q8—216no—
875C22⋊Q8—28no—
876C22⋊Q8—216no—
877C22⋊Q8—216no—
878C22⋊Q8—216no—
879C22⋊Q8—216no—
880C22⋊Q8—216no—
881C22⋊Q8—44no—
882C22⋊Q8—44no—
883C22⋊Q8C2×D4116yes—
884C22⋊Q8C2×D4116yes—
885#121—28no—
886#121—28no—
887#121—24no—
888C4×Q8—28no—
889C4×Q8—28no—
890C4×Q8—28no—
891C4×Q8—28no—
892C4×Q8—28no—
893C4×Q8—216no—
894C4×Q8—28no—
895C4×Q8—28no—
896C4×Q8—216no—
897C4×Q8—28no—
898C4×Q8—28no—
899C4×Q8—24no—
900C4×Q8—24no—
901C4×Q8—216no—
902C4×Q8—28no—
903C4×Q8—24no—
904C4×Q8—28no—
905C4×Q8—24no—
906C4×Q8—24no—
907C4×Q8—24no—
908C4×Q8—24no—
909C4×Q8—28no—
910C4×Q8—28no—
911C4×Q8—24no—
912C4×Q8—24no—
913C4×Q8—24no—
914C4×Q8—216no—
915C4×Q8—24no—
916C4×Q8—216no—
917C4×Q8—28no—
918C4×Q8—44no—
919C4×Q8C2×D4116yes—
920C4×Q8C2×D4116yes—
921C4×D4—28no—
922C4×D4—28no—
923C4×D4—28no—
924C4×D4—28no—
925C4×D4—28no—
926C4×D4—28no—
927C4×D4—216no—
928C4×D4—216no—
929C4×D4—216no—
930C4×D4—216no—
931C4×D4—24no—
932C4×D4—24no—
933C4×D4—24no—
934C4×D4—28no—
935C4×D4—44no—
936#117—24no—
937#117—216no—
938#117—28no—
939#117—216no—
940#117—216no—
941#117—28no—
942#117—28no—
943#117—216no—
944#117C2×D4116yes—
945C2×C4⋊C4—24no—
946C2×C4⋊C4—28no—
947C2×C4⋊C4—28no—
948C2×C4⋊C4—24no—
949C2×C4⋊C4—28no—
950C2×C4⋊C4—216no—
951C2×C4⋊C4—216no—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C42—28no—
1058C2×C42—28no—
1059C2×C42—216no—
1060C2×C42—28no—
1061C2×C42—24no—
1062C2×C42—42no—
1063C2×C42C2×D418yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2414yes—
1068C2×C42C2414yes—
1069C2×C42C2412yes—
1070C2×C42C2414yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2414yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2414yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2414yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2414yes—
1087C2×C42C2412yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
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#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159C24C2512yes—
1160C24C2512yes—
1161C24C2511yescharacteristic
1162#41—232no—
1163C2×Q8—22no—
1164C2×Q8—22no—
1165C2×Q8—22no—
1166C2×Q8—22no—
1167C2×Q8—28no—
1168C2×Q8—28no—
1169C2×Q8—24no—
1170C2×Q8—24no—
1171C2×Q8—22no—
1172C2×Q8—22no—
1173C2×Q8—28no—
1174C2×Q8—24no—
1175C2×Q8—28no—
1176C2×Q8—28no—
1177C2×Q8—24no—
1178C2×Q8—24no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—24no—
1182C2×Q8—24no—
1183C2×Q8—22no—
1184C2×Q8—22no—
1185C2×Q8—22no—
1186C2×Q8—22no—
1187C2×Q8—42no—
1188C2×Q8—42no—
1189C2×Q8—44no—
1190C2×Q8—44no—
1191C2×Q8—44no—
1192C2×Q8—42no—
1193C2×Q8—44no—
1194C2×Q8—44no—
1195C2×Q8—416no—
1196C2×Q8—416no—
1197C2×Q8—432no—
1198C2×Q8—432no—
1199C2×Q8C22×D418yes—
1200C2×Q8C22×D418yes—
1201C2×Q8C2×#4114yes—
1202C2×Q8C2×#4114yes—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—24no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D42−1+418yes—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—22no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—28no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—28no—
1233C22×C4—24no—
1234C22×C4—28no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—28no—
1240C22×C4—28no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—28no—
1246C22×C4—24no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—42no—
1259C22×C4—44no—
1260C22×C4C22×D414yes—
1261C22×C4C22×D414yes—
1262C22×C4C22×D414yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2514yes—
1267C22×C4C2514yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2514yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2514yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—24no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—28no—
1298C4⋊C4—28no—
1299C4⋊C4—24no—
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—28no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—28no—
1310C4⋊C4—28no—
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—28no—
1315C4⋊C4—24no—
1316C4⋊C4—28no—
1317C4⋊C4—24no—
1318C4⋊C4—28no—
1319C4⋊C4—28no—
1320C4⋊C4—22no—
1321C4⋊C4—28no—
1322C4⋊C4—24no—
1323C4⋊C4—22no—
1324C4⋊C4—28no—
1325C4⋊C4—28no—
1326C4⋊C4—28no—
1327C4⋊C4—28no—
1328C4⋊C4—28no—
1329C4⋊C4—24no—
1330C4⋊C4—28no—
1331C4⋊C4—28no—
1332C4⋊C4—28no—
1333C4⋊C4—28no—
1334C4⋊C4—24no—
1335C4⋊C4—28no—
1336C4⋊C4—24no—
1337C4⋊C4—28no—
1338C4⋊C4—28no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—28no—
1342C4⋊C4—28no—
1343C4⋊C4—24no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4C22×D418yes—
1355C4⋊C4C22×D4116yes—
1356C4⋊C4C22×D418yes—
1357C4⋊C4C22×D418yes—
1358C4⋊C4C22×D418yes—
1359C4⋊C4C22×D4116yes—
1360C4⋊C4C2×#41116yes—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—28no—
1366C22⋊C4—28no—
1367C22⋊C4—28no—
1368C22⋊C4—24no—
1369C22⋊C4—28no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—28no—
1373C22⋊C4—28no—
1374C22⋊C4—24no—
1375C22⋊C4—28no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—28no—
1379C22⋊C4—28no—
1380C22⋊C4—28no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4C22×D4116yes—
1396C42—24no—
1397C42—24no—
1398C42—24no—
1399C42—24no—
1400C42—28no—
1401C42—24no—
1402C42—24no—
1403C42—28no—
1404C42—24no—
1405C42—24no—
1406C42—24no—
1407C42—24no—
1408C42—24no—
1409C42—28no—
1410C42—28no—
1411C42—28no—
1412C42—24no—
1413C42—24no—
1414C42—22no—
1415C42—28no—
1416C42—22no—
1417C42—22no—
1418C42—42no—
1419C42—44no—
1420C42—44no—
1421C42—44no—
1422C42—44no—
1423C42C22×D414yes—
1424C42C22×D4116yes—
1425C42C22×D414yes—
1426C42C22×D414yes—
1427C42C22×D414yes—
1428C42C2×#4114yes—
1429C23—21no—
1430C23—21no—
1431C23—22no—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23C23×D412yes—
1446C23C2×2−1+414yes—
1447C23C2×2−1+414yes—
1448C23C2611yescharacteristic
1449Q8—28no—
1450Q8—28no—
1451Q8—28no—
1452Q8—216no—
1453Q8—48no—
1454Q8—48no—
1455Q8—48no—
1456Q8—416no—
1457Q8—416no—
1458Q8—44no—
1459Q8—44no—
1460Q8—44no—
1461Q8—88no—
1462D4—28no—
1463D4—216no—
1464D4—48no—
1465D4—44no—
1466D4—48no—
1467D4—84no—
1468C2×C4—216no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—24no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—24no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—24no—
1486C2×C4—22no—
1487C2×C4—28no—
1488C2×C4—28no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—24no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—24no—
1507C2×C4—24no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—24no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—24no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—24no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—44no—
1534C2×C4—416no—
1535C2×C4—416no—
1536C2×C4—48no—
1537C2×C4—48no—
1538C2×C4—48no—
1539C2×C4—48no—
1540C2×C4—48no—
1541C2×C4—48no—
1542C2×C4—84no—
1543C2×C4—88no—
1544C2×C4—84no—
1545C2×C4—84no—
1546C2×C4C23×D412yes—
1547C2×C4C23×D412yes—
1548C2×C4C23×D412yes—
1549C2×C4C23×D412yes—
1550C2×C4C23×D418yes—
1551C2×C4C23×D418yes—
1552C2×C4C23×D412yes—
1553C2×C4C23×D412yes—
1554C2×C4C22×#4114yes—
1555C2×C4C22×#4114yes—
1556C2×C4C22×#4114yes—
1557C2×C4C22×#4112yes—
1558C2×C4C2×2−1+414yes—
1559C2×C4#58512yes—
1560C22—24no—
1561C22—22no—
1562C22—24no—
1563C22—22no—
1564C22—24no—
1565C22—24no—
1566C22—24no—
1567C22—42no—
1568C22—42no—
1569C22—42no—
1570C22—42no—
1571C22—42no—
1572C22—42no—
1573C22—42no—
1574C22—42no—
1575C22—42no—
1576C22—42no—
1577C22—42no—
1578C22#348614yes—
1579C22C24×D411yescharacteristic
1580C22C23×#4111yescharacteristic
1581C22C22×2−1+412yes—
1582C22C2×#58511yescharacteristic
1583C222−1+612yes—
1584C4—24no—
1585C4—22no—
1586C4—22no—
1587C4—24no—
1588C4—22no—
1589C4—22no—
1590C4—28no—
1591C4—22no—
1592C4—24no—
1593C4—24no—
1594C4—28no—
1595C4—44no—
1596C4—42no—
1597C4—42no—
1598C4—42no—
1599C4—42no—
1600C4—42no—
1601C4—42no—
1602C4—42no—
1603C4—42no—
1604C4—44no—
1605C4—42no—
1606C4—42no—
1607C4—42no—
1608C4—42no—
1609C4—42no—
1610C4—42no—
1611C4D4×#4114yes—
1612C2—24no—
1613C2—44no—
1614C2—82no—
1615C2C2×D4×#4111yescharacteristic
1616C2C2×#348611yescharacteristic
1617C2#6285911yescharacteristic
1618C2#6295012yes—
1619C2#6299812yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34876C2
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×Q8×#41C2semidirect
3. #59809C2semidirect
4. #59651C2semidirect
5. #59317C2semidirect
6. #59149C2semidirect
7. #59127C2semidirect
8. #59077C2semidirect
9. #45418C2semidirect
10. #45389C2semidirect
11. #45338C2semidirect
12. #45336C2semidirect
13. #45336C2semidirect
14. #45334C2semidirect
15. #45143C2semidirect
16. #45138C2semidirect
17. #44845C2semidirect
18. #44780C2semidirect
19. #39855C2semidirect
20. #38375C2semidirect
21. #38371C2semidirect
22. #36227C2semidirect
23. #35665C2semidirect
24. #35637C2semidirect
25. #35245C2semidirect
26. #35244C2semidirect
27. #34971C2semidirect
29. #34291C2semidirect
30. #34221C2semidirect
31. C2×#2327C2semidirect
299. #533D4semidirect
837. C4⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35232
C2×Q8×#412
#598092
#596512
#593172
#591492
#591272
#590772
#454182
#453892
#453382
#453362
#453342
#451432
#451382
#448452
#447802
#398552
#383752
#383712
#362272
#356652
#356372
#352452
#352442
#349712
#348762
#342912
#342212
C2×#23272