Finite Group Databasebeta

← #7986095

Subgroups — #7986095

Order 512.

6565 conjugacy classes of subgroups.

The subgroup lattice has 1802 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3552C211yesmaximal, characteristic, complemented
2C2×Q8×#41C211yesmaximal, characteristic, complemented
3#59653C211yesmaximal, characteristic, complemented
4#59144C211yesmaximal, characteristic, complemented
5#59100C212yesmaximal, complemented
6#59079C212yesmaximal, complemented
7#59065C211yesmaximal, characteristic, complemented
8#48827C214yesmaximal, complemented
9#48786C214yesmaximal, complemented
10#45763C214yesmaximal, complemented
11#45417C212yesmaximal, complemented
12#45177C212yesmaximal, complemented
13#45143C212yesmaximal, complemented
14#45099C212yesmaximal, complemented
15#42807C212yesmaximal, complemented
16#42787C212yesmaximal, complemented
17#42682C212yesmaximal, complemented
18#42647C212yesmaximal, complemented
19#39619C211yesmaximal, characteristic, complemented
20#39125C211yesmaximal, characteristic, complemented
21#38955C211yesmaximal, characteristic, complemented
22#38921C211yesmaximal, characteristic, complemented
23#37821C214yesmaximal, complemented
24#37793C212yesmaximal, complemented
25#37691C212yesmaximal, complemented
26#36545C211yesmaximal, characteristic, complemented
27#36482C212yesmaximal, complemented
28#36436C212yesmaximal, complemented
29#36404C211yesmaximal, characteristic, complemented
30#36129C211yesmaximal, characteristic, complemented
31#35182C212yesmaximal, complemented
32#35155C212yesmaximal, complemented
33#34724C211yesmaximal, characteristic, complemented
34#34708C211yesmaximal, characteristic, complemented
35#34487C211yesmaximal, characteristic, complemented
36#3552—216no—
37C2×#563C2214yes—
38Q8×#41—216no—
39C2×Q82C2211yescharacteristic
40C2×#557C2211yescharacteristic
41C2×#557C2211yescharacteristic
42C2×#557C2212yes—
43C2×#556C2211yescharacteristic
44C2×#554C2211yescharacteristic
45C2×#554C2212yes—
46C2×#554C2212yes—
47C2×#554C2214yes—
48C2×#554C2212yes—
49C2×#553C2212yes—
50C2×D4×Q8C2212yes—
51C2×D4×Q8C2212yes—
52C2×D4×Q8C2211yescharacteristic
53C2×#548C2212yes—
54C2×#547C2211yescharacteristic
55C2×#544C2212yes—
56C2×#542C2212yes—
57C2×#541C2212yes—
58C2×#539C2214yes—
59C2×#536C2212yes—
60C2×#533C2211yescharacteristic
61C2×#533C2212yes—
62C2×#533C2212yes—
63C2×#533C2214yes—
64C22×C4⋊Q8C2211yescharacteristic
65C2×#529C2211yescharacteristic
66C2×#529C2211yescharacteristic
67C2×C4×#41C2211yescharacteristic
68C2×C4×#41C2212yes—
69C22×C4×Q8C2212yes—
70C22×C4×Q8C2211yescharacteristic
71#2862C2211yescharacteristic
72#2857C2211yescharacteristic
73#2857C2211yescharacteristic
74#2855C2212yes—
75#2855C2214yes—
76#2853C2214yes—
77#2853C2214yes—
78#2851C2212yes—
79#2817C2214yes—
80#2814C2214yes—
81#2734C2214yes—
82#2732C2214yes—
83#2729C2214yes—
84#2729C2214yes—
85#2729C2214yes—
86#2729C2214yes—
87#2728C2214yes—
88#2728C2214yes—
89#2726C2214yes—
90#2725C2214yes—
91#2723C2214yes—
92#2720C2214yes—
93#2719C2214yes—
94#2719C2214yes—
95#2716C2214yes—
96#2713C2214yes—
97#2713C2214yes—
98#2713C2214yes—
99#2704C2214yes—
100#2700C2214yes—
101#2700C2214yes—
102#2698C2214yes—
103#2698C2214yes—
104#2698C2214yes—
105#2692C2214yes—
106#2689C2214yes—
107#2689C2214yes—
108#2687C2214yes—
109#2687C2214yes—
110#2680C2214yes—
111#2674C2214yes—
112#2672C2214yes—
113#2672C2214yes—
114#2663C2214yes—
115#2660C2212yes—
116#2638C2214yes—
117#2638C2214yes—
118#2630C2214yes—
119#2628C2212yes—
120#2625C2212yes—
121#2623C2214yes—
122#2623C2214yes—
123#2621C2212yes—
124#2602C2214yes—
125#2600C2214yes—
126#2584C2212yes—
127#2582C2211yescharacteristic
128#2581C2212yes—
129#2568C2211yescharacteristic
130#2568C2212yes—
131#2567C2211yescharacteristic
132#2565C2212yes—
133#2563C2211yescharacteristic
134#2556C2214yes—
135#2552C2212yes—
136#2550C2212yes—
137#2550C2212yes—
138#2550C2212yes—
139#2547C2212yes—
140#2546C2212yes—
141#2546C2211yescharacteristic
142#2545C2212yes—
143#2538C2211yescharacteristic
144#2536C2212yes—
145#2519C2214yes—
146#2506C2214yes—
147#2503C2212yes—
148#2503C2214yes—
149#2492C2212yes—
150#2491C2212yes—
151#2489C2212yes—
152#2489C2212yes—
153#2489C2212yes—
154#2489C2214yes—
155#2486C2212yes—
156#2486C2214yes—
157#2481C2212yes—
158#2478C2214yes—
159#2478C2214yes—
160#2478C2212yes—
161#2476C2214yes—
162#2474C2214yes—
163#2473C2214yes—
164#2473C2214yes—
165#2470C2214yes—
166#2470C2212yes—
167#2469C2212yes—
168#2469C2214yes—
169#2468C2214yes—
170#2466C2214yes—
171#2466C2212yes—
172#2465C2214yes—
173#2464C2214yes—
174#2462C2214yes—
175#2462C2214yes—
176#2460C2214yes—
177#2460C2214yes—
178#2459C2214yes—
179#2458C2212yes—
180#2457C2214yes—
181#2455C2212yes—
182#2453C2211yescharacteristic
183#2453C2211yescharacteristic
184#2453C2214yes—
185#2451C2212yes—
186#2451C2212yes—
187#2451C2212yes—
188#2451C2212yes—
189#2448C2212yes—
190#2448C2212yes—
191#2448C2211yescharacteristic
192#2448C2212yes—
193#2447C2212yes—
194#2447C2211yescharacteristic
195#2446C2212yes—
196#2446C2212yes—
197#2446C2212yes—
198#2446C2212yes—
199#2446C2214yes—
200#2446C2212yes—
201#2446C2214yes—
202#2446C2212yes—
203#2443C2212yes—
204#2442C2212yes—
205#2442C2212yes—
206#2442C2212yes—
207#2442C2212yes—
208#2442C2211yescharacteristic
209#2441C2212yes—
210#2441C2212yes—
211#2441C2211yescharacteristic
212#2439C2212yes—
213#2436C2211yescharacteristic
214#2434C2212yes—
215#2434C2212yes—
216#2432C2212yes—
217#2432C2211yescharacteristic
218#2429C2212yes—
219#2429C2212yes—
220#2429C2211yescharacteristic
221#2427C2214yes—
222#2426C2212yes—
223#2426C2211yescharacteristic
224#2423C2214yes—
225#2423C2214yes—
226#2422C2212yes—
227#2422C2211yescharacteristic
228#2421C2212yes—
229#2421C2212yes—
230#2421C2214yes—
231#2421C2214yes—
232#2421C2214yes—
233#2421C2211yescharacteristic
234#2421C2214yes—
235#2420C2212yes—
236#2420C2212yes—
237#2420C2212yes—
238#2417C2212yes—
239#2416C2211yescharacteristic
240#2415C2212yes—
241#2415C2212yes—
242#2415C2212yes—
243#2415C2211yescharacteristic
244#2409C2212yes—
245#2409C2211yescharacteristic
246#2407C2212yes—
247#2407C2212yes—
248#2407C2211yescharacteristic
249#2398C2212yes—
250#2396C2212yes—
251#2395C2212yes—
252#2392C2212yes—
253#2378C2214yes—
254#2369C2212yes—
255#2367C2214yes—
256#2365C2211yescharacteristic
257#2365C2212yes—
258#2362C2212yes—
259#2362C2212yes—
260#2360C2212yes—
261#2360C2212yes—
262#2360C2212yes—
263#2360C2212yes—
264#2357C2212yes—
265#2355C2211yescharacteristic
266#2354C2211yescharacteristic
267#2354C2212yes—
268#2352C2212yes—
269#2352C2212yes—
270#2351C2212yes—
271#2351C2212yes—
272Q8×C22⋊C4C2212yes—
273Q8×C22⋊C4C2212yes—
274Q8×C22⋊C4C2212yes—
275#2332C2214yes—
276#2331C2212yes—
277#2327C2212yes—
278#2323C2212yes—
279#2323C2212yes—
280#2319C2212yes—
281#2317C2212yes—
282#2311C2212yes—
283#2310C2212yes—
284C4×C4⋊Q8C2211yescharacteristic
285C4×C4⋊Q8C2211yescharacteristic
286C4×#124C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2212yes—
290C4×C22⋊Q8C2211yescharacteristic
291C4×#123C2214yes—
292C4×#123C2212yes—
293C4×#121C2211yescharacteristic
294C4×#121C2212yes—
295#2297C2212yes—
296#2296C2212yes—
297#2295C2211yescharacteristic
298#2293C2211yescharacteristic
299#2290C2212yes—
300C42×D4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C23×Q8C2312yes—
304C23×Q8C2311yescharacteristic
305C23×Q8C2312yes—
306#563—232no—
307Q82—28no—
308#557—28no—
309#557—216no—
310#557—28no—
311#556—28no—
312#554—216no—
313#554—232no—
314#554—216no—
315#554—28no—
316#554—216no—
317#553—216no—
318D4×Q8—216no—
319D4×Q8—216no—
320D4×Q8D4116yescomplemented
321#548—216no—
322#547—28no—
323#544—216no—
324#542—216no—
325#541—216no—
326#539—232no—
327#536—216no—
328#533—28no—
329#533—216no—
330#533—232no—
331#533—216no—
332C2×C4⋊Q8—28no—
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2314yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2314yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2314yes—
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2311yescharacteristic
348C2×C4⋊Q8C2312yes—
349#529—28no—
350#529—28no—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2314yes—
354C2×#126C2314yes—
355C2×#126C2314yes—
356C2×#125C2312yes—
357C2×#125C2311yescharacteristic
358C2×#125C2311yescharacteristic
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#125C2312yes—
362C2×#125C2314yes—
363C2×#125C2314yes—
364C2×#125C2314yes—
365C2×#125C2314yes—
366C2×#125C2314yes—
367C2×#125C2314yes—
368C2×#124C2311yescharacteristic
369C2×#124C2311yescharacteristic
370C2×#124C2312yes—
371C2×#124C2314yes—
372C2×#124C2314yes—
373C2×#124C2311yescharacteristic
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2312yes—
377C2×#123C2312yes—
378C2×#123C2314yes—
379C2×#123C2312yes—
380C2×#123C2314yes—
381C2×C22⋊Q8C2314yes—
382C2×C22⋊Q8C2314yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2311yescharacteristic
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2311yescharacteristic
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2311yescharacteristic
390C2×C22⋊Q8C2311yescharacteristic
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2314yes—
407C2×#121C2311yescharacteristic
408C2×#121C2312yes—
409C2×#121C2311yescharacteristic
410C2×#121C2314yes—
411C2×#121C2311yescharacteristic
412C2×#121C2312yes—
413C4×#41—28no—
414C4×#41—216no—
415C2×C4×Q8—216no—
416C2×C4×Q8—28no—
417C2×C4×Q8C2311yescharacteristic
418C2×C4×Q8C2311yescharacteristic
419C2×C4×Q8C2312yes—
420C2×C4×Q8C2312yes—
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2311yescharacteristic
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2311yescharacteristic
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2312yes—
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2311yescharacteristic
431C2×C4×Q8C2314yes—
432C2×C4×Q8C2311yescharacteristic
433C2×C4×Q8C2314yes—
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2314yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2311yescharacteristic
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2314yes—
442C2×C4×D4C2314yes—
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2312yes—
445C2×C4×D4C2314yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2314yes—
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2312yes—
456C2×C4×D4C2311yescharacteristic
457C2×#117C2312yes—
458C2×#117C2312yes—
459C2×#117C2311yescharacteristic
460C2×#117C2312yes—
461C2×#117C2312yes—
462C2×#117C2312yes—
463C2×#117C2314yes—
464C2×#117C2312yes—
465C2×#117C2312yes—
466C22×C4⋊C4C2312yes—
467C22×C4⋊C4C2312yes—
468C22×C4⋊C4C2312yes—
469C22×C4⋊C4C2311yescharacteristic
470C22×C4⋊C4C2312yes—
471C22×C4⋊C4C2314yes—
472C22×C4⋊C4C2312yes—
473C22×C42C2312yes—
474C22×C42C2314yes—
475C22×C42C2312yes—
476C22×C42C2311yescharacteristic
477C22×C42C2311yescharacteristic
478#400C2314yes—
479#400C2314yes—
480#400C2314yes—
481#400C2314yes—
482#400C2314yes—
483#400C2314yes—
484#400C2314yes—
485#400C2314yes—
486#400C2314yes—
487#400C2314yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2314yes—
493#400C2314yes—
494#399C2312yes—
495#399C2314yes—
496#399C2314yes—
497#399C2314yes—
498#399C2312yes—
499#398C2314yes—
500#398C2314yes—
501#398C2314yes—
502#398C2314yes—
503#398C2314yes—
504#398C2314yes—
505#398C2314yes—
506#398C2314yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2312yes—
512#398C2312yes—
513#398C2312yes—
514#398C2312yes—
515#398C2314yes—
516#398C2314yes—
517#398C2314yes—
518#398C2314yes—
519#398C2314yes—
520#398C2314yes—
521#397C2312yes—
522#397C2314yes—
523#397C2314yes—
524#397C2314yes—
525#397C2314yes—
526#397C2314yes—
527#397C2312yes—
528#397C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#397C2314yes—
533#397C2314yes—
534#397C2312yes—
535#397C2312yes—
536#397C2312yes—
537#397C2312yes—
538#397C2314yes—
539#396C2314yes—
540#396C2314yes—
541#396C2312yes—
542#396C2312yes—
543#396C2312yes—
544#396C2312yes—
545#396C2314yes—
546#396C2314yes—
547#396C2314yes—
548#395C2312yes—
549#395C2314yes—
550#395C2314yes—
551#395C2314yes—
552#395C2314yes—
553#395C2314yes—
554#395C2314yes—
555#395C2314yes—
556#395C2314yes—
557#395C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2312yes—
561#394C2314yes—
562#394C2312yes—
563#394C2314yes—
564#394C2314yes—
565#394C2312yes—
566#394C2312yes—
567#394C2312yes—
568#394C2312yes—
569#394C2312yes—
570#394C2314yes—
571#394C2314yes—
572#393C2314yes—
573#393C2314yes—
574#393C2312yes—
575#393C2314yes—
576#393C2312yes—
577#393C2312yes—
578#392C2312yes—
579#392C2314yes—
580#391C2311yescharacteristic
581#391C2312yes—
582#391C2311yescharacteristic
583#391C2312yes—
584#391C2311yescharacteristic
585#391C2314yes—
586#391C2312yes—
587#391C2312yes—
588#391C2314yes—
589#391C2312yes—
590#391C2312yes—
591#391C2312yes—
592#391C2312yes—
593#391C2314yes—
594#391C2312yes—
595#391C2314yes—
596#391C2311yescharacteristic
597#391C2311yescharacteristic
598#391C2312yes—
599#391C2312yes—
600#391C2314yes—
601#391C2314yes—
602#391C2311yescharacteristic
603#391C2312yes—
604#391C2314yes—
605#391C2314yes—
606#391C2312yes—
607#391C2314yes—
608#391C2314yes—
609#391C2312yes—
610#391C2312yes—
611#391C2312yes—
612#391C2311yescharacteristic
613#391C2311yescharacteristic
614#391C2314yes—
615#390C2312yes—
616#390C2311yescharacteristic
617#390C2311yescharacteristic
618#390C2312yes—
619#390C2314yes—
620#390C2311yescharacteristic
621#390C2312yes—
622#390C2312yes—
623#390C2311yescharacteristic
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2311yescharacteristic
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2311yescharacteristic
635#389C2312yes—
636#389C2314yes—
637#389C2314yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2311yescharacteristic
642#389C2314yes—
643#389C2314yes—
644#389C2312yes—
645#389C2311yescharacteristic
646#389C2311yescharacteristic
647#389C2312yes—
648#389C2314yes—
649#389C2314yes—
650#389C2312yes—
651#389C2314yes—
652#389C2314yes—
653#389C2314yes—
654#389C2314yes—
655#389C2314yes—
656#389C2311yescharacteristic
657#389C2311yescharacteristic
658#389C2311yescharacteristic
659#389C2314yes—
660#389C2312yes—
661#389C2314yes—
662#389C2312yes—
663#389C2312yes—
664#389C2312yes—
665#389C2312yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2312yes—
672#388C2314yes—
673#388C2314yes—
674#388C2312yes—
675#388C2312yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2312yes—
687#388C2314yes—
688#388C2314yes—
689#388C2312yes—
690#388C2314yes—
691#388C2312yes—
692#388C2312yes—
693#388C2312yes—
694#388C2312yes—
695#388C2312yes—
696#388C2312yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2312yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2312yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2312yes—
723#387C2314yes—
724#387C2314yes—
725#387C2312yes—
726#387C2312yes—
727#387C2312yes—
728#387C2312yes—
729#387C2312yes—
730#387C2312yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2312yes—
735#386C2314yes—
736#386C2312yes—
737#386C2314yes—
738#386C2314yes—
739#386C2312yes—
740#386C2312yes—
741#386C2312yes—
742#386C2312yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2312yes—
748#385C2312yes—
749#385C2314yes—
750#385C2312yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2312yes—
757#385C2312yes—
758#385C2314yes—
759#385C2312yes—
760#385C2312yes—
761#385C2312yes—
762#385C2314yes—
763#385C2312yes—
764#385C2312yes—
765#384C2311yescharacteristic
766#384C2311yescharacteristic
767#384C2312yes—
768#384C2314yes—
769#382C2312yes—
770#382C2312yes—
771#382C2312yes—
772#382C2314yes—
773#382C2312yes—
774#382C2312yes—
775#382C2311yescharacteristic
776#382C2314yes—
777#382C2314yes—
778#381C2314yes—
779#381C2314yes—
780#381C2314yes—
781#381C2314yes—
782#381C2314yes—
783#381C2314yes—
784#381C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2314yes—
788#380C2314yes—
789#380C2314yes—
790#380C2312yes—
791#380C2311yescharacteristic
792#380C2312yes—
793#380C2311yescharacteristic
794#380C2312yes—
795#380C2314yes—
796#380C2314yes—
797#380C2312yes—
798#380C2312yes—
799#380C2312yes—
800#380C2311yescharacteristic
801#380C2311yescharacteristic
802#380C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2314yes—
815C4×C4⋊C4C2314yes—
816C4×C4⋊C4C2314yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2314yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2311yescharacteristic
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2311yescharacteristic
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2311yescharacteristic
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2311yescharacteristic
843#376C2312yes—
844C43C2311yescharacteristic
845C2×#41—24no—
846C2×#41—24no—
847C2×#41—28no—
848C2×#41—24no—
849C2×#41—44no—
850C2×#41—44no—
851C22×Q8—24no—
852C22×Q8—28no—
853C22×Q8—44no—
854C22×Q8—44no—
855C22×Q8—42no—
856C22×Q8—42no—
857C22×Q8—44no—
858C22×Q8—44no—
859C22×Q8C2×D4116yes—
860C22×Q8C2411yescharacteristic
861C22×Q8C2411yescharacteristic
862C22×Q8C2412yes—
863C22×Q8C2412yes—
864C22×Q8C2411yescharacteristic
865C22×Q8C2411yescharacteristic
866C22×Q8C2412yes—
867C22×Q8C2412yes—
868C22×Q8C2414yes—
869C22×Q8C2414yes—
870C22×Q8C2414yes—
871C22×D4C2412yes—
872C22×D4C2411yescharacteristic
873C22×D4C2412yes—
874C22×D4C2412yes—
875C22×D4C2411yescharacteristic
876C22×D4C2411yescharacteristic
877C22×D4C2412yes—
878C22×D4C2414yes—
879C23×C4C2411yescharacteristic
880C23×C4C2412yes—
881C23×C4C2411yescharacteristic
882C23×C4C2412yes—
883C23×C4C2411yescharacteristic
884C23×C4C2411yescharacteristic
885C23×C4C2412yes—
886C23×C4C2411yescharacteristic
887C23×C4C2411yescharacteristic
888C23×C4C2412yes—
889C23×C4C2414yes—
890C23×C4C2414yes—
891C23×C4C2412yes—
892C23×C4C2412yes—
893C23×C4C2414yes—
894C23×C4C2414yes—
895C4⋊Q8—28no—
896C4⋊Q8—28no—
897C4⋊Q8—216no—
898C4⋊Q8—28no—
899C4⋊Q8—216no—
900C4⋊Q8—24no—
901C4⋊Q8—28no—
902C4⋊Q8—28no—
903C4⋊Q8—28no—
904C4⋊Q8—216no—
905C4⋊Q8—24no—
906C4⋊Q8—24no—
907C4⋊Q8—28no—
908C4⋊Q8—44no—
909C4⋊Q8C2×D418yes—
910C4⋊Q8C2×D4116yes—
911#126—28no—
912#126—216no—
913#126—28no—
914#126—216no—
915#126—216no—
916#125—24no—
917#125—24no—
918#125—216no—
919#125—216no—
920#125—216no—
921#125—28no—
922#125—28no—
923#125—28no—
924#125—216no—
925#125—216no—
926#125—216no—
927#125—28no—
928#124—24no—
929#124—28no—
930#124—24no—
931#124—216no—
932#124—42no—
933#124—48no—
934#123—216no—
935#123—216no—
936#123—28no—
937#123—28no—
938#123—216no—
939#123—44no—
940#123—48no—
941C22⋊Q8—24no—
942C22⋊Q8—28no—
943C22⋊Q8—216no—
944C22⋊Q8—216no—
945C22⋊Q8—216no—
946C22⋊Q8—216no—
947C22⋊Q8—28no—
948C22⋊Q8—24no—
949C22⋊Q8—28no—
950C22⋊Q8—216no—
951C22⋊Q8—28no—
952C22⋊Q8—216no—
953C22⋊Q8—24no—
954C22⋊Q8—24no—
955C22⋊Q8—28no—
956C22⋊Q8—216no—
957C22⋊Q8—28no—
958C22⋊Q8—216no—
959C22⋊Q8—216no—
960C22⋊Q8—216no—
961C22⋊Q8—216no—
962C22⋊Q8—44no—
963C22⋊Q8—42no—
964C22⋊Q8—44no—
965C22⋊Q8C2×D4132yes—
966C22⋊Q8C2×D4116yes—
967#121—24no—
968#121—28no—
969#121—24no—
970#121—216no—
971#121—44no—
972#121—42no—
973C4×Q8—24no—
974C4×Q8—28no—
975C4×Q8—216no—
976C4×Q8—28no—
977C4×Q8—28no—
978C4×Q8—216no—
979C4×Q8—28no—
980C4×Q8—24no—
981C4×Q8—28no—
982C4×Q8—24no—
983C4×Q8—28no—
984C4×Q8—28no—
985C4×Q8—216no—
986C4×Q8—28no—
987C4×Q8—24no—
988C4×Q8—28no—
989C4×Q8—24no—
990C4×Q8—28no—
991C4×Q8—24no—
992C4×Q8—28no—
993C4×Q8—44no—
994C4×Q8—44no—
995C4×Q8C2×D418yes—
996C4×D4—24no—
997C4×D4—28no—
998C4×D4—28no—
999C4×D4—216no—
1000C4×D4—28no—
1001C4×D4—216no—
1002C4×D4—24no—
1003C4×D4—28no—
1004C4×D4—216no—
1005C4×D4—216no—
1006C4×D4—28no—
1007C4×D4—24no—
1008C4×D4—28no—
1009C4×D4—42no—
1010C4×D4—42no—
1011C4×D4C2×D418yes—
1012C4×D4C2×D4116yes—
1013#117—28no—
1014#117—24no—
1015#117—28no—
1016#117—28no—
1017#117—216no—
1018#117—28no—
1019#117—28no—
1020#117—44no—
1021#117—44no—
1022C2×C4⋊C4—28no—
1023C2×C4⋊C4—216no—
1024C2×C4⋊C4—24no—
1025C2×C4⋊C4—28no—
1026C2×C4⋊C4—28no—
1027C2×C4⋊C4—28no—
1028C2×C4⋊C4—28no—
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2411yescharacteristic
1124C2×C22⋊C4C2411yescharacteristic
1125C2×C22⋊C4C2411yescharacteristic
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2411yescharacteristic
1138C2×C22⋊C4C2411yescharacteristic
1139C2×C22⋊C4C2411yescharacteristic
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2412yes—
1157C2×C42—28no—
1158C2×C42—216no—
1159C2×C42—24no—
1160C2×C42—28no—
1161C2×C42—24no—
1162C2×C42C2411yescharacteristic
1163C2×C42C2412yes—
1164C2×C42C2411yescharacteristic
1165C2×C42C2414yes—
1166C2×C42C2412yes—
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169C2×C42C2412yes—
1170C2×C42C2414yes—
1171C2×C42C2412yes—
1172C2×C42C2411yescharacteristic
1173C2×C42C2412yes—
1174C2×C42C2412yes—
1175C2×C42C2414yes—
1176C2×C42C2412yes—
1177C2×C42C2414yes—
1178C2×C42C2414yes—
1179C2×C42C2411yescharacteristic
1180C2×C42C2412yes—
1181C2×C42C2411yescharacteristic
1182C2×C42C2412yes—
1183C2×C42C2411yescharacteristic
1184C2×C42C2411yescharacteristic
1185C2×C42C2411yescharacteristic
1186C2×C42C2414yes—
1187C2×C42C2411yescharacteristic
1188C2×C42C2414yes—
1189C2×C42C2414yes—
1190C2×C42C2414yes—
1191C2×C42C2411yescharacteristic
1192C2×C42C2412yes—
1193C2×C42C2411yescharacteristic
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2414yes—
1199#95C2411yescharacteristic
1200#95C2411yescharacteristic
1201#95C2411yescharacteristic
1202#95C2411yescharacteristic
1203#95C2412yes—
1204#95C2411yescharacteristic
1205#95C2411yescharacteristic
1206#95C2412yes—
1207#95C2412yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2412yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2412yes—
1222#95C2414yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2414yes—
1250#95C2412yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262C24C2512yes—
1263C24C2512yes—
1264C24C2511yescharacteristic
1265C24C2511yescharacteristic
1266#41—232no—
1267#41—816no—
1268C2×Q8—22no—
1269C2×Q8—22no—
1270C2×Q8—24no—
1271C2×Q8—22no—
1272C2×Q8—24no—
1273C2×Q8—28no—
1274C2×Q8—24no—
1275C2×Q8—28no—
1276C2×Q8—22no—
1277C2×Q8—22no—
1278C2×Q8—22no—
1279C2×Q8—24no—
1280C2×Q8—24no—
1281C2×Q8—22no—
1282C2×Q8—22no—
1283C2×Q8—22no—
1284C2×Q8—24no—
1285C2×Q8—22no—
1286C2×Q8—24no—
1287C2×Q8—44no—
1288C2×Q8—44no—
1289C2×Q8—42no—
1290C2×Q8—42no—
1291C2×Q8—42no—
1292C2×Q8—44no—
1293C2×Q8—44no—
1294C2×Q8—44no—
1295C2×Q8—42no—
1296C2×Q8—44no—
1297C2×Q8—432no—
1298C2×Q8—416no—
1299C2×Q8—816no—
1300C2×Q8C22×D414yes—
1301C2×Q8C22×D418yes—
1302C2×Q8C22×D4116yes—
1303C2×Q82−1+414yes—
1304C2×D4—24no—
1305C2×D4—24no—
1306C2×D4—24no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—24no—
1310C2×D4—24no—
1311C2×D4—28no—
1312C2×D4—24no—
1313C2×D4—24no—
1314C2×D4—22no—
1315C2×D4—24no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—41no—
1321C2×D4—42no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4C22×D414yes—
1328C22×C4—24no—
1329C22×C4—22no—
1330C22×C4—24no—
1331C22×C4—24no—
1332C22×C4—22no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—22no—
1336C22×C4—24no—
1337C22×C4—28no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—24no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—24no—
1344C22×C4—22no—
1345C22×C4—24no—
1346C22×C4—22no—
1347C22×C4—24no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—24no—
1353C22×C4—22no—
1354C22×C4—28no—
1355C22×C4—28no—
1356C22×C4—41no—
1357C22×C4—44no—
1358C22×C4—44no—
1359C22×C4—42no—
1360C22×C4—42no—
1361C22×C4—41no—
1362C22×C4—42no—
1363C22×C4—42no—
1364C22×C4—44no—
1365C22×C4—41no—
1366C22×C4—42no—
1367C22×C4—42no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4C22×D418yes—
1374C22×C4C22×D4116yes—
1375C22×C42−1+414yes—
1376C22×C4C2511yescharacteristic
1377C22×C4C2512yes—
1378C22×C4C2511yescharacteristic
1379C22×C4C2512yes—
1380C22×C4C2511yescharacteristic
1381C22×C4C2512yes—
1382C22×C4C2511yescharacteristic
1383C22×C4C2512yes—
1384C22×C4C2514yes—
1385C22×C4C2512yes—
1386C22×C4C2511yescharacteristic
1387C22×C4C2512yes—
1388C22×C4C2511yescharacteristic
1389C22×C4C2514yes—
1390C22×C4C2512yes—
1391C22×C4C2511yescharacteristic
1392C22×C4C2512yes—
1393C22×C4C2514yes—
1394C22×C4C2511yescharacteristic
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2511yescharacteristic
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2511yescharacteristic
1401C22×C4C2514yes—
1402C22×C4C2512yes—
1403C22×C4C2511yescharacteristic
1404C22×C4C2512yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C4⋊C4—24no—
1408C4⋊C4—22no—
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—24no—
1412C4⋊C4—28no—
1413C4⋊C4—28no—
1414C4⋊C4—24no—
1415C4⋊C4—28no—
1416C4⋊C4—28no—
1417C4⋊C4—24no—
1418C4⋊C4—28no—
1419C4⋊C4—28no—
1420C4⋊C4—28no—
1421C4⋊C4—24no—
1422C4⋊C4—22no—
1423C4⋊C4—28no—
1424C4⋊C4—28no—
1425C4⋊C4—24no—
1426C4⋊C4—24no—
1427C4⋊C4—22no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—22no—
1434C4⋊C4—24no—
1435C4⋊C4—28no—
1436C4⋊C4—24no—
1437C4⋊C4—28no—
1438C4⋊C4—28no—
1439C4⋊C4—28no—
1440C4⋊C4—28no—
1441C4⋊C4—28no—
1442C4⋊C4—28no—
1443C4⋊C4—24no—
1444C4⋊C4—22no—
1445C4⋊C4—24no—
1446C4⋊C4—22no—
1447C4⋊C4—22no—
1448C4⋊C4—24no—
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—28no—
1452C4⋊C4—24no—
1453C4⋊C4—24no—
1454C4⋊C4—22no—
1455C4⋊C4—24no—
1456C4⋊C4—22no—
1457C4⋊C4—42no—
1458C4⋊C4—42no—
1459C4⋊C4—42no—
1460C4⋊C4—44no—
1461C4⋊C4—42no—
1462C4⋊C4—42no—
1463C4⋊C4—42no—
1464C4⋊C4—41no—
1465C4⋊C4—41no—
1466C4⋊C4—44no—
1467C4⋊C4—44no—
1468C4⋊C4—42no—
1469C4⋊C4—42no—
1470C4⋊C4—42no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
1473C4⋊C4—42no—
1474C4⋊C4—42no—
1475C4⋊C4—44no—
1476C4⋊C4—44no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4C22×D414yes—
1480C4⋊C4C22×D418yes—
1481C4⋊C4C22×D414yes—
1482C4⋊C4C22×D418yes—
1483C4⋊C4C22×D418yes—
1484C4⋊C4C22×D4116yes—
1485C22⋊C4—24no—
1486C22⋊C4—28no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—28no—
1490C22⋊C4—24no—
1491C22⋊C4—22no—
1492C22⋊C4—24no—
1493C22⋊C4—24no—
1494C22⋊C4—22no—
1495C22⋊C4—24no—
1496C22⋊C4—28no—
1497C22⋊C4—24no—
1498C22⋊C4—28no—
1499C22⋊C4—24no—
1500C22⋊C4—28no—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—28no—
1507C22⋊C4—24no—
1508C22⋊C4—22no—
1509C22⋊C4—24no—
1510C22⋊C4—24no—
1511C22⋊C4—28no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—44no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C22⋊C4—44no—
1520C22⋊C4—41no—
1521C22⋊C4—41no—
1522C22⋊C4—41no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—42no—
1526C22⋊C4—44no—
1527C22⋊C4—42no—
1528C22⋊C4—44no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4C22×D4116yes—
1534C22⋊C4C22×D418yes—
1535C42—24no—
1536C42—22no—
1537C42—24no—
1538C42—28no—
1539C42—22no—
1540C42—24no—
1541C42—22no—
1542C42—22no—
1543C42—28no—
1544C42—24no—
1545C42—22no—
1546C42—24no—
1547C42—28no—
1548C42—24no—
1549C42—22no—
1550C42—24no—
1551C42—28no—
1552C42—28no—
1553C42—22no—
1554C42—24no—
1555C42—22no—
1556C42—22no—
1557C42—24no—
1558C42—22no—
1559C42—41no—
1560C42—44no—
1561C42—41no—
1562C42—44no—
1563C42—44no—
1564C42—44no—
1565C42C22×D414yes—
1566C42C22×D418yes—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—22no—
1572C23—22no—
1573C23—21no—
1574C23—21no—
1575C23—22no—
1576C23—21no—
1577C23—22no—
1578C23—22no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—22no—
1584C23—21no—
1585C23—22no—
1586C23—22no—
1587C23—22no—
1588C23—22no—
1589C23—22no—
1590C23—22no—
1591C23—22no—
1592C23C23×D414yes—
1593C23C2×2−1+412yes—
1594C23#58512yes—
1595C23C2611yescharacteristic
1596Q8—28no—
1597Q8—216no—
1598Q8—28no—
1599Q8—416no—
1600Q8—48no—
1601Q8—44no—
1602Q8—48no—
1603Q8—44no—
1604Q8—84no—
1605Q8—88no—
1606Q8—88no—
1607D4—216no—
1608D4—28no—
1609D4—48no—
1610D4—48no—
1611D4—44no—
1612D4—44no—
1613D4—84no—
1614D4—88no—
1615C2×C4—216no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—24no—
1624C2×C4—24no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—216no—
1631C2×C4—28no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—24no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—24no—
1645C2×C4—21no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—24no—
1653C2×C4—22no—
1654C2×C4—21no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—24no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—24no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—24no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—24no—
1683C2×C4—22no—
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—21no—
1687C2×C4—24no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—24no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—416no—
1699C2×C4—44no—
1700C2×C4—48no—
1701C2×C4—44no—
1702C2×C4—44no—
1703C2×C4—44no—
1704C2×C4—48no—
1705C2×C4—82no—
1706C2×C4—84no—
1707C2×C4—88no—
1708C2×C4—88no—
1709C2×C4—88no—
1710C2×C4—84no—
1711C2×C4C23×D414yes—
1712C2×C4C23×D414yes—
1713C2×C4C23×D418yes—
1714C2×C4C23×D412yes—
1715C2×C4C23×D414yes—
1716C2×C4C23×D412yes—
1717C2×C4C23×D412yes—
1718C2×C4C2×2−1+412yes—
1719C2×C4C2×2−1+414yes—
1720C2×C4C2×2−1+412yes—
1721C2×C4C2×2−1+412yes—
1722C2×C4#58512yes—
1723C2×C4#58512yes—
1724C22—22no—
1725C22—24no—
1726C22—22no—
1727C22—22no—
1728C22—24no—
1729C22—22no—
1730C22—24no—
1731C22—22no—
1732C22—22no—
1733C22—41no—
1734C22—42no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—42no—
1739C22—41no—
1740C22—41no—
1741C22—42no—
1742C22—41no—
1743C22—41no—
1744C22—42no—
1745C22—42no—
1746C22—42no—
1747C22—42no—
1748C22—42no—
1749C22—42no—
1750C22—42no—
1751C22—42no—
1752C22C24×D411yescharacteristic
1753C22C22×2−1+411yescharacteristic
1754C22C22×2−1+411yescharacteristic
1755C22C2×#58511yescharacteristic
1756C22C2×#58511yescharacteristic
1757C22C2×#58511yescharacteristic
1758C222−1+611yescharacteristic
1759C4—22no—
1760C4—24no—
1761C4—24no—
1762C4—24no—
1763C4—28no—
1764C4—22no—
1765C4—24no—
1766C4—41no—
1767C4—42no—
1768C4—41no—
1769C4—42no—
1770C4—44no—
1771C4—42no—
1772C4—42no—
1773C4—41no—
1774C4—42no—
1775C4—41no—
1776C4—42no—
1777C4—41no—
1778C4—44no—
1779C4—41no—
1780C4—44no—
1781C4—41no—
1782C4—42no—
1783C4—42no—
1784C4—41no—
1785C4—42no—
1786C4—41no—
1787C4—42no—
1788C4#348514yes—
1789C4#348614yes—
1790C2—42no—
1791C2—44no—
1792C2—42no—
1793C2—82no—
1794C2#6275211yescharacteristic
1795C2C2×#348511yescharacteristic
1796C2C2×#348611yescharacteristic
1797C2#6295311yescharacteristic
1798C2#6295611yescharacteristic
1799C2#6300211yescharacteristic
1800C2#6303311yescharacteristic
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×#3552C2semidirect
2. C2×Q8×#41C2semidirect
3. #59653C2semidirect
4. #59144C2semidirect
5. #59100C2semidirect
6. #59079C2semidirect
7. #59065C2semidirect
8. #48827C2semidirect
9. #48786C2semidirect
10. #45763C2semidirect
11. #45417C2semidirect
12. #45177C2semidirect
13. #45143C2semidirect
14. #45099C2semidirect
15. #42807C2semidirect
16. #42787C2semidirect
17. #42682C2semidirect
18. #42647C2semidirect
19. #39619C2semidirect
20. #39125C2semidirect
21. #38955C2semidirect
22. #38921C2semidirect
23. #37821C2semidirect
24. #37793C2semidirect
25. #37691C2semidirect
26. #36545C2semidirect
27. #36482C2semidirect
28. #36436C2semidirect
29. #36404C2semidirect
30. #36129C2semidirect
31. #35182C2semidirect
32. #35155C2semidirect
33. #34724C2semidirect
34. #34708C2semidirect
35. #34487C2semidirect
320. D4×Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35522
C2×Q8×#412
#596532
#591442
#591002
#590792
#590652
#488272
#487862
#457632
#454172
#451772
#451432
#450992
#428072
#427872
#426822
#426472
#396192
#391252
#389552
#389212
#378212
#377932
#376912
#365452
#364822
#364362
#364042
#361292
#351822
#351552
#347242
#347082
#344872