Finite Group Databasebeta

← #7986096

Subgroups — #7986096

Order 512.

6562 conjugacy classes of subgroups.

The subgroup lattice has 1808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3550C211yesmaximal, characteristic, complemented
2C2×Q8×#41C211yesmaximal, characteristic, complemented
3#59413C211yesmaximal, characteristic, complemented
4#59114C212yesmaximal, complemented
5#59081C212yesmaximal, complemented
6#59071C211yesmaximal, characteristic, complemented
7#59036C211yesmaximal, characteristic, complemented
8#50176C214yesmaximal, complemented
9#48827C214yesmaximal, complemented
10#45763C214yesmaximal, complemented
11#45389C212yesmaximal, complemented
12#45333C212yesmaximal, complemented
13#45114C212yesmaximal, complemented
14#45102C212yesmaximal, complemented
15#42807C212yesmaximal, complemented
16#42786C212yesmaximal, complemented
17#42678C212yesmaximal, complemented
18#42647C212yesmaximal, complemented
19#39597C211yesmaximal, characteristic, complemented
20#39490C211yesmaximal, characteristic, complemented
21#39470C211yesmaximal, characteristic, complemented
22#39172C211yesmaximal, characteristic, complemented
23#37823C214yesmaximal, complemented
24#37783C212yesmaximal, complemented
25#37711C212yesmaximal, complemented
26#36579C211yesmaximal, characteristic, complemented
27#36482C212yesmaximal, complemented
28#36437C212yesmaximal, complemented
29#36405C211yesmaximal, characteristic, complemented
30#36151C211yesmaximal, characteristic, complemented
31#35182C212yesmaximal, complemented
32#35155C212yesmaximal, complemented
33#34715C211yesmaximal, characteristic
34#34691C211yesmaximal, characteristic, complemented
35#34487C211yesmaximal, characteristic, complemented
36#3550—216no—
37C2×#563C2214yes—
38C2×#559C2212yes—
39Q8×#41—216no—
40C2×Q82C2211yescharacteristic
41C2×Q82C2212yes—
42C2×#557C2211yescharacteristic
43C2×#557C2212yes—
44C2×#556C2211yescharacteristic
45C2×#556C2212yes—
46C2×#556C2211yescharacteristic
47C2×#554C2214yes—
48C2×#554C2212yes—
49C2×#554C2211yescharacteristic
50C2×#554C2212yes—
51C2×D4×Q8C2211yescharacteristic
52C2×D4×Q8C2212yes—
53C2×D4×Q8C2212yes—
54C2×D4×Q8C2211yescharacteristic
55C2×#542C2214yes—
56C2×#542C2212yes—
57C2×#542C2212yes—
58C2×#536C2212yes—
59C2×#536C2212yes—
60C2×#533C2211yescharacteristic
61C2×#533C2211yescharacteristic
62C2×#533C2211yescharacteristic
63C2×#533C2212yes—
64C2×#533C2212yes—
65C2×#533C2214yes—
66C2×#532C2211yescharacteristic
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#2850C2212yes—
79#2817C2214yes—
80#2814C2214yes—
81#2734C2214yes—
82#2734C2214yes—
83#2731C2214yes—
84#2730C2214yes—
85#2729C2214yes—
86#2729C2214yes—
87#2729C2214yes—
88#2728C2214yes—
89#2725C2214yes—
90#2723C2214yes—
91#2719C2214yes—
92#2716C2214yes—
93#2716C2214yes—
94#2713C2214yes—
95#2713C2214yes—
96#2713C2214yes—
97#2707C2214yes—
98#2704C2214yes—
99#2700C2214yes—
100#2700C2214yes—
101#2700C2214yes—
102#2698C2214yes—
103#2698C2214yes—
104#2696C2214yes—
105#2692C2214yes—
106#2689C2214yes—
107#2689C2214yes—
108#2687C2214yes—
109#2687C2214yes—
110#2681C2214yes—
111#2677C2214yes—
112#2674C2214yes—
113#2674C2214yes—
114#2663C2214yes—
115#2640C2212yes—
116#2638C2214yes—
117#2638C2214yes—
118#2630C2214yes—
119#2628C2212yes—
120#2623C2214yes—
121#2623C2214yes—
122#2621C2212yes—
123#2616C2212yes—
124#2602C2214yes—
125#2600C2214yes—
126#2592C2212yes—
127#2582C2211yescharacteristic
128#2581C2212yes—
129#2581C2212yes—
130#2568C2212yes—
131#2568C2211yescharacteristic
132#2567C2211yescharacteristic
133#2563C2211yescharacteristic
134#2558C2214yes—
135#2556C2214yes—
136#2551C2212yes—
137#2550C2212yes—
138#2550C2212yes—
139#2550C2212yes—
140#2546C2211yescharacteristic
141#2546C2212yes—
142#2545C2212yes—
143#2538C2212yes—
144#2538C2211yescharacteristic
145#2536C2212yes—
146#2519C2214yes—
147#2503C2212yes—
148#2503C2214yes—
149#2499C2212yes—
150#2492C2212yes—
151#2492C2214yes—
152#2490C2212yes—
153#2489C2212yes—
154#2489C2212yes—
155#2489C2212yes—
156#2486C2214yes—
157#2486C2212yes—
158#2485C2212yes—
159#2481C2214yes—
160#2478C2214yes—
161#2478C2214yes—
162#2476C2212yes—
163#2475C2214yes—
164#2474C2214yes—
165#2474C2214yes—
166#2474C2212yes—
167#2473C2212yes—
168#2470C2214yes—
169#2469C2214yes—
170#2469C2214yes—
171#2468C2214yes—
172#2466C2214yes—
173#2465C2212yes—
174#2465C2214yes—
175#2462C2214yes—
176#2462C2214yes—
177#2462C2212yes—
178#2461C2214yes—
179#2459C2214yes—
180#2459C2212yes—
181#2458C2214yes—
182#2457C2214yes—
183#2456C2212yes—
184#2454C2212yes—
185#2454C2212yes—
186#2453C2212yes—
187#2453C2212yes—
188#2453C2212yes—
189#2453C2212yes—
190#2453C2212yes—
191#2451C2212yes—
192#2451C2211yescharacteristic
193#2451C2211yescharacteristic
194#2451C2214yes—
195#2449C2212yes—
196#2448C2214yes—
197#2448C2214yes—
198#2447C2212yes—
199#2447C2212yes—
200#2447C2212yes—
201#2446C2214yes—
202#2446C2212yes—
203#2446C2212yes—
204#2446C2214yes—
205#2446C2214yes—
206#2446C2211yescharacteristic
207#2446C2214yes—
208#2445C2212yes—
209#2445C2211yescharacteristic
210#2440C2211yescharacteristic
211#2439C2212yes—
212#2439C2212yes—
213#2439C2212yes—
214#2439C2211yescharacteristic
215#2434C2212yes—
216#2434C2211yescharacteristic
217#2432C2212yes—
218#2431C2211yescharacteristic
219#2429C2214yes—
220#2429C2212yes—
221#2429C2212yes—
222#2429C2212yes—
223#2429C2211yescharacteristic
224#2426C2211yescharacteristic
225#2423C2212yes—
226#2423C2212yes—
227#2423C2211yescharacteristic
228#2423C2212yes—
229#2421C2212yes—
230#2421C2212yes—
231#2421C2212yes—
232#2421C2214yes—
233#2421C2212yes—
234#2421C2212yes—
235#2421C2214yes—
236#2421C2212yes—
237#2420C2212yes—
238#2420C2211yescharacteristic
239#2417C2211yescharacteristic
240#2415C2212yes—
241#2415C2212yes—
242#2415C2212yes—
243#2415C2212yes—
244#2414C2211yescharacteristic
245#2409C2211yescharacteristic
246#2409C2212yes—
247#2409C2212yes—
248#2407C2211yescharacteristic
249#2399C2212yes—
250#2396C2212yes—
251#2392C2212yes—
252#2388C2212yes—
253#2378C2214yes—
254#2369C2212yes—
255#2367C2212yes—
256#2365C2212yes—
257#2365C2212yes—
258#2365C2211yescharacteristic
259#2365C2214yes—
260#2363C2212yes—
261#2362C2212yes—
262#2362C2212yes—
263#2362C2212yes—
264#2362C2212yes—
265#2362C2212yes—
266#2357C2212yes—
267#2355C2211yescharacteristic
268#2354C2211yescharacteristic
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⋊Q8C2212yes—
291C4×C22⋊Q8C2211yescharacteristic
292C4×#123C2214yes—
293C4×#123C2212yes—
294C4×#121C2211yescharacteristic
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—
307#559—216no—
308Q82—216no—
309Q82—28no—
310#557—28no—
311#557—216no—
312#556—216no—
313#556—28no—
314#556—28no—
315#554—216no—
316#554—232no—
317#554—28no—
318#554—216no—
319D4×Q8—216no—
320D4×Q8—216no—
321D4×Q8—28no—
322D4×Q8D4116yescomplemented
323#542—216no—
324#542—232no—
325#542—216no—
326#536—216no—
327#536—216no—
328#533—28no—
329#533—216no—
330#533—28no—
331#533—216no—
332#533—232no—
333#533—28no—
334#532—28no—
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2314yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2314yes—
346C2×C4⋊Q8C2314yes—
347C2×C4⋊Q8C2314yes—
348C2×C4⋊Q8C2312yes—
349C2×C4⋊Q8C2314yes—
350C2×C4⋊Q8C2311yescharacteristic
351C2×C4⋊Q8C2314yes—
352C2×C4⋊Q8C2311yescharacteristic
353C2×C4⋊Q8C2312yes—
354C2×#127C2311yescharacteristic
355C2×#126C2314yes—
356C2×#126C2314yes—
357C2×#126C2314yes—
358C2×#126C2314yes—
359C2×#125C2314yes—
360C2×#125C2314yes—
361C2×#125C2312yes—
362C2×#125C2312yes—
363C2×#125C2312yes—
364C2×#125C2314yes—
365C2×#125C2312yes—
366C2×#125C2312yes—
367C2×#124C2312yes—
368C2×#124C2311yescharacteristic
369C2×#124C2314yes—
370C2×#124C2312yes—
371C2×#124C2314yes—
372C2×#124C2314yes—
373C2×#124C2312yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2312yes—
379C2×#123C2314yes—
380C2×C22⋊Q8C2314yes—
381C2×C22⋊Q8C2314yes—
382C2×C22⋊Q8C2311yescharacteristic
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2311yescharacteristic
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2311yescharacteristic
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2314yes—
409C2×#121C2311yescharacteristic
410C2×#121C2311yescharacteristic
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×Q8C2312yes—
423C2×C4×Q8C2311yescharacteristic
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2311yescharacteristic
428C2×C4×Q8C2312yes—
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2311yescharacteristic
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2314yes—
434C2×C4×Q8C2314yes—
435C2×C4×Q8C2311yescharacteristic
436C2×C4×Q8C2314yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2314yes—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2311yescharacteristic
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2314yes—
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×D4C2312yes—
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2312yes—
458C2×C4×D4C2311yescharacteristic
459C2×#117C2312yes—
460C2×#117C2312yes—
461C2×#117C2312yes—
462C2×#117C2311yescharacteristic
463C2×#117C2312yes—
464C2×#117C2312yes—
465C2×#117C2314yes—
466C2×#117C2312yes—
467C2×#117C2312yes—
468C2×#117C2312yes—
469C22×C4⋊C4C2312yes—
470C22×C4⋊C4C2311yescharacteristic
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#400C2314yes—
490#400C2314yes—
491#399C2312yes—
492#399C2314yes—
493#399C2314yes—
494#399C2314yes—
495#398C2314yes—
496#398C2314yes—
497#398C2314yes—
498#398C2312yes—
499#398C2314yes—
500#398C2314yes—
501#398C2314yes—
502#398C2314yes—
503#398C2314yes—
504#398C2314yes—
505#398C2312yes—
506#398C2312yes—
507#398C2312yes—
508#398C2312yes—
509#398C2312yes—
510#398C2312yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#397C2312yes—
516#397C2314yes—
517#397C2314yes—
518#397C2314yes—
519#397C2314yes—
520#397C2314yes—
521#397C2314yes—
522#397C2314yes—
523#397C2314yes—
524#397C2314yes—
525#397C2314yes—
526#397C2314yes—
527#397C2314yes—
528#397C2314yes—
529#397C2314yes—
530#396C2314yes—
531#396C2314yes—
532#396C2312yes—
533#396C2312yes—
534#396C2312yes—
535#396C2312yes—
536#396C2314yes—
537#396C2314yes—
538#396C2314yes—
539#396C2314yes—
540#396C2314yes—
541#395C2312yes—
542#395C2314yes—
543#395C2314yes—
544#395C2314yes—
545#395C2314yes—
546#395C2314yes—
547#395C2314yes—
548#395C2314yes—
549#395C2312yes—
550#395C2314yes—
551#395C2312yes—
552#395C2312yes—
553#395C2312yes—
554#395C2312yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2312yes—
563#394C2312yes—
564#394C2312yes—
565#394C2312yes—
566#394C2312yes—
567#394C2312yes—
568#393C2314yes—
569#393C2314yes—
570#393C2314yes—
571#393C2314yes—
572#393C2314yes—
573#393C2314yes—
574#393C2312yes—
575#393C2312yes—
576#392C2312yes—
577#392C2312yes—
578#392C2312yes—
579#392C2312yes—
580#391C2312yes—
581#391C2311yescharacteristic
582#391C2311yescharacteristic
583#391C2311yescharacteristic
584#391C2314yes—
585#391C2312yes—
586#391C2312yes—
587#391C2314yes—
588#391C2314yes—
589#391C2312yes—
590#391C2312yes—
591#391C2312yes—
592#391C2312yes—
593#391C2312yes—
594#391C2312yes—
595#391C2314yes—
596#391C2314yes—
597#391C2312yes—
598#391C2311yescharacteristic
599#391C2312yes—
600#391C2312yes—
601#391C2311yescharacteristic
602#391C2312yes—
603#391C2314yes—
604#391C2314yes—
605#391C2311yescharacteristic
606#391C2311yescharacteristic
607#391C2314yes—
608#391C2314yes—
609#391C2314yes—
610#391C2314yes—
611#391C2312yes—
612#391C2312yes—
613#391C2312yes—
614#391C2312yes—
615#391C2311yescharacteristic
616#391C2314yes—
617#391C2312yes—
618#391C2312yes—
619#390C2312yes—
620#390C2314yes—
621#390C2311yescharacteristic
622#390C2312yes—
623#390C2311yescharacteristic
624#390C2312yes—
625#390C2314yes—
626#390C2311yescharacteristic
627#390C2311yescharacteristic
628#390C2312yes—
629#390C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2314yes—
637#389C2314yes—
638#389C2312yes—
639#389C2311yescharacteristic
640#389C2314yes—
641#389C2314yes—
642#389C2311yescharacteristic
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2311yescharacteristic
648#389C2312yes—
649#389C2314yes—
650#389C2312yes—
651#389C2314yes—
652#389C2312yes—
653#389C2312yes—
654#389C2314yes—
655#389C2311yescharacteristic
656#389C2314yes—
657#389C2314yes—
658#389C2311yescharacteristic
659#389C2314yes—
660#389C2314yes—
661#389C2314yes—
662#389C2311yescharacteristic
663#389C2314yes—
664#389C2312yes—
665#389C2311yescharacteristic
666#389C2312yes—
667#389C2311yescharacteristic
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2312yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2312yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2312yes—
694#388C2314yes—
695#388C2312yes—
696#388C2314yes—
697#388C2312yes—
698#388C2312yes—
699#388C2312yes—
700#388C2312yes—
701#388C2312yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2312yes—
714#387C2314yes—
715#387C2314yes—
716#387C2312yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2312yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2312yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2312yes—
732#387C2314yes—
733#387C2312yes—
734#387C2312yes—
735#387C2312yes—
736#387C2312yes—
737#387C2312yes—
738#387C2312yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2312yes—
744#386C2312yes—
745#386C2314yes—
746#386C2312yes—
747#386C2312yes—
748#386C2312yes—
749#386C2312yes—
750#386C2312yes—
751#386C2312yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2312yes—
756#385C2314yes—
757#385C2312yes—
758#385C2314yes—
759#385C2312yes—
760#385C2314yes—
761#385C2314yes—
762#385C2312yes—
763#385C2314yes—
764#385C2314yes—
765#385C2312yes—
766#385C2312yes—
767#385C2312yes—
768#385C2312yes—
769#384C2311yescharacteristic
770#384C2311yescharacteristic
771#384C2312yes—
772#382C2312yes—
773#382C2311yescharacteristic
774#382C2312yes—
775#382C2312yes—
776#382C2312yes—
777#382C2312yes—
778#382C2314yes—
779#382C2314yes—
780#381C2314yes—
781#381C2314yes—
782#381C2314yes—
783#381C2314yes—
784#381C2314yes—
785#381C2312yes—
786#381C2314yes—
787#380C2312yes—
788#380C2312yes—
789#380C2311yescharacteristic
790#380C2312yes—
791#380C2312yes—
792#380C2314yes—
793#380C2312yes—
794#380C2312yes—
795#380C2314yes—
796#380C2314yes—
797#380C2312yes—
798#380C2312yes—
799#380C2311yescharacteristic
800#380C2311yescharacteristic
801#380C2311yescharacteristic
802#380C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2314yes—
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2314yes—
817C4×C4⋊C4C2314yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2314yes—
820C4×C4⋊C4C2314yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2314yes—
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2311yescharacteristic
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2311yescharacteristic
834C4×C22⋊C4C2311yescharacteristic
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2312yes—
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×Q8C2412yes—
861C22×Q8C2411yescharacteristic
862C22×Q8C2411yescharacteristic
863C22×Q8C2412yes—
864C22×Q8C2412yes—
865C22×Q8C2411yescharacteristic
866C22×Q8C2411yescharacteristic
867C22×Q8C2412yes—
868C22×Q8C2412yes—
869C22×Q8C2414yes—
870C22×Q8C2414yes—
871C22×Q8C2412yes—
872C22×Q8C2414yes—
873C22×D4C2412yes—
874C22×D4C2411yescharacteristic
875C22×D4C2412yes—
876C22×D4C2411yescharacteristic
877C22×D4C2411yescharacteristic
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C23×C4C2411yescharacteristic
883C23×C4C2412yes—
884C23×C4C2411yescharacteristic
885C23×C4C2412yes—
886C23×C4C2411yescharacteristic
887C23×C4C2411yescharacteristic
888C23×C4C2412yes—
889C23×C4C2411yescharacteristic
890C23×C4C2411yescharacteristic
891C23×C4C2412yes—
892C23×C4C2414yes—
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2414yes—
896C23×C4C2414yes—
897C4⋊Q8—24no—
898C4⋊Q8—28no—
899C4⋊Q8—216no—
900C4⋊Q8—216no—
901C4⋊Q8—216no—
902C4⋊Q8—28no—
903C4⋊Q8—24no—
904C4⋊Q8—28no—
905C4⋊Q8—216no—
906C4⋊Q8—24no—
907C4⋊Q8—216no—
908C4⋊Q8—28no—
909C4⋊Q8—24no—
910C4⋊Q8—28no—
911C4⋊Q8—24no—
912C4⋊Q8—42no—
913C4⋊Q8—48no—
914C4⋊Q8C2×D418yes—
915C4⋊Q8C2×D4116yes—
916#127—24no—
917#126—216no—
918#126—216no—
919#126—216no—
920#126—216no—
921#125—216no—
922#125—216no—
923#125—216no—
924#125—28no—
925#125—28no—
926#125—28no—
927#125—28no—
928#125—28no—
929#124—216no—
930#124—24no—
931#124—28no—
932#124—28no—
933#124—216no—
934#124—216no—
935#124—28no—
936#123—216no—
937#123—216no—
938#123—216no—
939#123—216no—
940#123—44no—
941#123—48no—
942C22⋊Q8—24no—
943C22⋊Q8—28no—
944C22⋊Q8—28no—
945C22⋊Q8—216no—
946C22⋊Q8—28no—
947C22⋊Q8—28no—
948C22⋊Q8—216no—
949C22⋊Q8—24no—
950C22⋊Q8—28no—
951C22⋊Q8—216no—
952C22⋊Q8—28no—
953C22⋊Q8—216no—
954C22⋊Q8—28no—
955C22⋊Q8—24no—
956C22⋊Q8—28no—
957C22⋊Q8—28no—
958C22⋊Q8—28no—
959C22⋊Q8—216no—
960C22⋊Q8—216no—
961C22⋊Q8—216no—
962C22⋊Q8—216no—
963C22⋊Q8—216no—
964C22⋊Q8—44no—
965C22⋊Q8—44no—
966C22⋊Q8—42no—
967C22⋊Q8—44no—
968C22⋊Q8—42no—
969C22⋊Q8C2×D4116yes—
970C22⋊Q8C2×D4132yes—
971#121—24no—
972#121—24no—
973#121—24no—
974#121—28no—
975C4×Q8—24no—
976C4×Q8—28no—
977C4×Q8—216no—
978C4×Q8—28no—
979C4×Q8—28no—
980C4×Q8—216no—
981C4×Q8—28no—
982C4×Q8—24no—
983C4×Q8—28no—
984C4×Q8—28no—
985C4×Q8—24no—
986C4×Q8—28no—
987C4×Q8—216no—
988C4×Q8—28no—
989C4×Q8—216no—
990C4×Q8—28no—
991C4×Q8—24no—
992C4×Q8—28no—
993C4×Q8—24no—
994C4×Q8—28no—
995C4×Q8—24no—
996C4×Q8—28no—
997C4×Q8—28no—
998C4×Q8—44no—
999C4×Q8—44no—
1000C4×Q8C2×D418yes—
1001C4×D4—24no—
1002C4×D4—28no—
1003C4×D4—28no—
1004C4×D4—216no—
1005C4×D4—28no—
1006C4×D4—216no—
1007C4×D4—24no—
1008C4×D4—28no—
1009C4×D4—28no—
1010C4×D4—216no—
1011C4×D4—24no—
1012C4×D4—44no—
1013C4×D4—42no—
1014C4×D4—42no—
1015C4×D4C2×D418yes—
1016C4×D4C2×D4116yes—
1017#117—28no—
1018#117—28no—
1019#117—24no—
1020#117—28no—
1021#117—28no—
1022#117—28no—
1023#117—216no—
1024#117—28no—
1025#117—44no—
1026#117—44no—
1027C2×C4⋊C4—28no—
1028C2×C4⋊C4—216no—
1029C2×C4⋊C4—24no—
1030C2×C4⋊C4—28no—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2411yescharacteristic
1123C2×C22⋊C4C2411yescharacteristic
1124C2×C22⋊C4C2411yescharacteristic
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2411yescharacteristic
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2411yescharacteristic
1136C2×C22⋊C4C2411yescharacteristic
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2414yes—
1156C2×C42—28no—
1157C2×C42—216no—
1158C2×C42—24no—
1159C2×C42—28no—
1160C2×C42—24no—
1161C2×C42C2411yescharacteristic
1162C2×C42C2414yes—
1163C2×C42C2412yes—
1164C2×C42C2412yes—
1165C2×C42C2411yescharacteristic
1166C2×C42C2412yes—
1167C2×C42C2414yes—
1168C2×C42C2412yes—
1169C2×C42C2414yes—
1170C2×C42C2414yes—
1171C2×C42C2411yescharacteristic
1172C2×C42C2412yes—
1173C2×C42C2411yescharacteristic
1174C2×C42C2414yes—
1175C2×C42C2412yes—
1176C2×C42C2412yes—
1177C2×C42C2414yes—
1178C2×C42C2411yescharacteristic
1179C2×C42C2411yescharacteristic
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2412yes—
1183C2×C42C2411yescharacteristic
1184C2×C42C2411yescharacteristic
1185C2×C42C2412yes—
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#95C2412yes—
1199#95C2411yescharacteristic
1200#95C2412yes—
1201#95C2411yescharacteristic
1202#95C2412yes—
1203#95C2411yescharacteristic
1204#95C2411yescharacteristic
1205#95C2411yescharacteristic
1206#95C2411yescharacteristic
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2414yes—
1211#95C2412yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2414yes—
1217#95C2412yes—
1218#95C2414yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2414yes—
1246#95C2412yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2412yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262C24C2511yescharacteristic
1263C24C2512yes—
1264C24C2512yes—
1265C24C2511yescharacteristic
1266#41—232no—
1267#41—816no—
1268C2×Q8—22no—
1269C2×Q8—24no—
1270C2×Q8—24no—
1271C2×Q8—24no—
1272C2×Q8—22no—
1273C2×Q8—22no—
1274C2×Q8—28no—
1275C2×Q8—24no—
1276C2×Q8—28no—
1277C2×Q8—24no—
1278C2×Q8—22no—
1279C2×Q8—24no—
1280C2×Q8—24no—
1281C2×Q8—24no—
1282C2×Q8—24no—
1283C2×Q8—22no—
1284C2×Q8—22no—
1285C2×Q8—22no—
1286C2×Q8—24no—
1287C2×Q8—22no—
1288C2×Q8—22no—
1289C2×Q8—22no—
1290C2×Q8—44no—
1291C2×Q8—44no—
1292C2×Q8—42no—
1293C2×Q8—42no—
1294C2×Q8—42no—
1295C2×Q8—42no—
1296C2×Q8—44no—
1297C2×Q8—44no—
1298C2×Q8—44no—
1299C2×Q8—42no—
1300C2×Q8—44no—
1301C2×Q8—42no—
1302C2×Q8—42no—
1303C2×Q8—432no—
1304C2×Q8—416no—
1305C2×Q8—816no—
1306C2×Q8C22×D414yes—
1307C2×Q8C22×D418yes—
1308C2×Q8C22×D4116yes—
1309C2×Q82−1+414yes—
1310C2×D4—24no—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—22no—
1314C2×D4—24no—
1315C2×D4—24no—
1316C2×D4—24no—
1317C2×D4—22no—
1318C2×D4—24no—
1319C2×D4—24no—
1320C2×D4—22no—
1321C2×D4—22no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—24no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—42no—
1328C2×D4—42no—
1329C2×D4—42no—
1330C2×D4—42no—
1331C2×D4—42no—
1332C2×D4—42no—
1333C2×D4—42no—
1334C2×D4—42no—
1335C2×D4—42no—
1336C2×D4C22×D414yes—
1337C22×C4—24no—
1338C22×C4—22no—
1339C22×C4—24no—
1340C22×C4—24no—
1341C22×C4—22no—
1342C22×C4—24no—
1343C22×C4—24no—
1344C22×C4—24no—
1345C22×C4—28no—
1346C22×C4—24no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—24no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—24no—
1358C22×C4—22no—
1359C22×C4—24no—
1360C22×C4—22no—
1361C22×C4—24no—
1362C22×C4—22no—
1363C22×C4—28no—
1364C22×C4—41no—
1365C22×C4—44no—
1366C22×C4—44no—
1367C22×C4—42no—
1368C22×C4—42no—
1369C22×C4—41no—
1370C22×C4—42no—
1371C22×C4—42no—
1372C22×C4—44no—
1373C22×C4—41no—
1374C22×C4—42no—
1375C22×C4—42no—
1376C22×C4—44no—
1377C22×C4—44no—
1378C22×C4—44no—
1379C22×C4C22×D418yes—
1380C22×C4C22×D4116yes—
1381C22×C42−1+414yes—
1382C22×C4C2512yes—
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C22×C4C2512yes—
1386C22×C4C2511yescharacteristic
1387C22×C4C2511yescharacteristic
1388C22×C4C2512yes—
1389C22×C4C2512yes—
1390C22×C4C2514yes—
1391C22×C4C2514yes—
1392C22×C4C2511yescharacteristic
1393C22×C4C2512yes—
1394C22×C4C2511yescharacteristic
1395C22×C4C2512yes—
1396C22×C4C2511yescharacteristic
1397C22×C4C2512yes—
1398C22×C4C2514yes—
1399C22×C4C2512yes—
1400C22×C4C2511yescharacteristic
1401C22×C4C2512yes—
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2512yes—
1405C22×C4C2512yes—
1406C22×C4C2511yescharacteristic
1407C22×C4C2514yes—
1408C22×C4C2511yescharacteristic
1409C22×C4C2512yes—
1410C22×C4C2511yescharacteristic
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C4⋊C4—24no—
1414C4⋊C4—22no—
1415C4⋊C4—28no—
1416C4⋊C4—24no—
1417C4⋊C4—24no—
1418C4⋊C4—28no—
1419C4⋊C4—28no—
1420C4⋊C4—24no—
1421C4⋊C4—28no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—22no—
1425C4⋊C4—24no—
1426C4⋊C4—28no—
1427C4⋊C4—28no—
1428C4⋊C4—24no—
1429C4⋊C4—22no—
1430C4⋊C4—24no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—24no—
1436C4⋊C4—22no—
1437C4⋊C4—28no—
1438C4⋊C4—28no—
1439C4⋊C4—28no—
1440C4⋊C4—28no—
1441C4⋊C4—24no—
1442C4⋊C4—28no—
1443C4⋊C4—28no—
1444C4⋊C4—28no—
1445C4⋊C4—24no—
1446C4⋊C4—28no—
1447C4⋊C4—24no—
1448C4⋊C4—22no—
1449C4⋊C4—22no—
1450C4⋊C4—22no—
1451C4⋊C4—24no—
1452C4⋊C4—28no—
1453C4⋊C4—24no—
1454C4⋊C4—28no—
1455C4⋊C4—28no—
1456C4⋊C4—22no—
1457C4⋊C4—24no—
1458C4⋊C4—22no—
1459C4⋊C4—22no—
1460C4⋊C4—24no—
1461C4⋊C4—28no—
1462C4⋊C4—24no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—42no—
1466C4⋊C4—44no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C4⋊C4—42no—
1470C4⋊C4—41no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
1473C4⋊C4—42no—
1474C4⋊C4—42no—
1475C4⋊C4—42no—
1476C4⋊C4—44no—
1477C4⋊C4—42no—
1478C4⋊C4—42no—
1479C4⋊C4—42no—
1480C4⋊C4—42no—
1481C4⋊C4—44no—
1482C4⋊C4—44no—
1483C4⋊C4C22×D414yes—
1484C4⋊C4C22×D418yes—
1485C4⋊C4C22×D418yes—
1486C4⋊C4C22×D414yes—
1487C4⋊C4C22×D418yes—
1488C4⋊C4C22×D4116yes—
1489C22⋊C4—28no—
1490C22⋊C4—24no—
1491C22⋊C4—28no—
1492C22⋊C4—24no—
1493C22⋊C4—28no—
1494C22⋊C4—22no—
1495C22⋊C4—28no—
1496C22⋊C4—24no—
1497C22⋊C4—28no—
1498C22⋊C4—24no—
1499C22⋊C4—28no—
1500C22⋊C4—24no—
1501C22⋊C4—28no—
1502C22⋊C4—24no—
1503C22⋊C4—24no—
1504C22⋊C4—28no—
1505C22⋊C4—28no—
1506C22⋊C4—22no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—24no—
1510C22⋊C4—24no—
1511C22⋊C4—22no—
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—42no—
1523C22⋊C4—42no—
1524C22⋊C4—41no—
1525C22⋊C4—42no—
1526C22⋊C4—44no—
1527C22⋊C4—42no—
1528C22⋊C4—44no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4—42no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4C22×D418yes—
1537C22⋊C4C22×D4116yes—
1538C42—24no—
1539C42—22no—
1540C42—24no—
1541C42—24no—
1542C42—28no—
1543C42—22no—
1544C42—22no—
1545C42—24no—
1546C42—28no—
1547C42—22no—
1548C42—24no—
1549C42—28no—
1550C42—24no—
1551C42—22no—
1552C42—22no—
1553C42—28no—
1554C42—24no—
1555C42—28no—
1556C42—28no—
1557C42—22no—
1558C42—22no—
1559C42—24no—
1560C42—22no—
1561C42—24no—
1562C42—22no—
1563C42—41no—
1564C42—44no—
1565C42—41no—
1566C42—44no—
1567C42—44no—
1568C42—44no—
1569C42C22×D414yes—
1570C42C22×D418yes—
1571C23—21no—
1572C23—22no—
1573C23—22no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—21no—
1581C23—22no—
1582C23—21no—
1583C23—21no—
1584C23—22no—
1585C23—21no—
1586C23—22no—
1587C23—21no—
1588C23—22no—
1589C23—22no—
1590C23—21no—
1591C23—22no—
1592C23—21no—
1593C23—22no—
1594C23—21no—
1595C23—21no—
1596C23—22no—
1597C23C23×D414yes—
1598C23C2×2−1+412yes—
1599C23C2611yescharacteristic
1600Q8—28no—
1601Q8—216no—
1602Q8—28no—
1603Q8—416no—
1604Q8—48no—
1605Q8—48no—
1606Q8—44no—
1607Q8—44no—
1608Q8—48no—
1609Q8—84no—
1610Q8—88no—
1611Q8—88no—
1612Q8—84no—
1613D4—216no—
1614D4—28no—
1615D4—48no—
1616D4—44no—
1617D4—44no—
1618D4—84no—
1619D4—84no—
1620D4—84no—
1621D4—84no—
1622C2×C4—216no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—21no—
1631C2×C4—24no—
1632C2×C4—24no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—216no—
1640C2×C4—28no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—24no—
1645C2×C4—21no—
1646C2×C4—24no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—21no—
1659C2×C4—24no—
1660C2×C4—22no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—24no—
1664C2×C4—21no—
1665C2×C4—24no—
1666C2×C4—21no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—24no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—24no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—24no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—21no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—24no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—416no—
1705C2×C4—44no—
1706C2×C4—48no—
1707C2×C4—44no—
1708C2×C4—48no—
1709C2×C4—44no—
1710C2×C4—44no—
1711C2×C4—82no—
1712C2×C4—84no—
1713C2×C4—88no—
1714C2×C4—84no—
1715C2×C4—88no—
1716C2×C4C23×D414yes—
1717C2×C4C23×D414yes—
1718C2×C4C23×D414yes—
1719C2×C4C23×D418yes—
1720C2×C4C23×D412yes—
1721C2×C4C23×D412yes—
1722C2×C4C23×D412yes—
1723C2×C4C2×2−1+412yes—
1724C2×C4C2×2−1+414yes—
1725C2×C4C2×2−1+412yes—
1726C2×C4C2×2−1+412yes—
1727C2×C4#58512yes—
1728C2×C4#58512yes—
1729C2×C4#58512yes—
1730C22—24no—
1731C22—22no—
1732C22—24no—
1733C22—24no—
1734C22—22no—
1735C22—22no—
1736C22—41no—
1737C22—42no—
1738C22—41no—
1739C22—41no—
1740C22—42no—
1741C22—42no—
1742C22—41no—
1743C22—42no—
1744C22—41no—
1745C22—42no—
1746C22—41no—
1747C22—42no—
1748C22—42no—
1749C22—41no—
1750C22—41no—
1751C22—42no—
1752C22—41no—
1753C22—42no—
1754C22—42no—
1755C22—41no—
1756C22—41no—
1757C22—42no—
1758C22C24×D411yescharacteristic
1759C22C22×2−1+411yescharacteristic
1760C22C22×2−1+411yescharacteristic
1761C22C2×#58511yescharacteristic
1762C22C2×#58511yescharacteristic
1763C22C2×#58511yescharacteristic
1764C222−1+611yescharacteristic
1765C4—22no—
1766C4—22no—
1767C4—24no—
1768C4—24no—
1769C4—24no—
1770C4—28no—
1771C4—22no—
1772C4—24no—
1773C4—41no—
1774C4—42no—
1775C4—44no—
1776C4—42no—
1777C4—42no—
1778C4—44no—
1779C4—41no—
1780C4—41no—
1781C4—42no—
1782C4—41no—
1783C4—42no—
1784C4—42no—
1785C4—41no—
1786C4—42no—
1787C4—42no—
1788C4—41no—
1789C4—44no—
1790C4—41no—
1791C4—42no—
1792C4—41no—
1793C4—42no—
1794C4#348514yes—
1795C4#348614yes—
1796C2—44no—
1797C2—42no—
1798C2—81no—
1799C2—82no—
1800C2#6276111yescharacteristic
1801C2C2×#348511yescharacteristic
1802C2C2×#348611yescharacteristic
1803C2#6293211yescharacteristic
1804C2#6295311yescharacteristic
1805C2#6300211yescharacteristic
1806C2#6303411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34715C2
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×#3550C2semidirect
2. C2×Q8×#41C2semidirect
3. #59413C2semidirect
4. #59114C2semidirect
5. #59081C2semidirect
6. #59071C2semidirect
7. #59036C2semidirect
8. #50176C2semidirect
9. #48827C2semidirect
10. #45763C2semidirect
11. #45389C2semidirect
12. #45333C2semidirect
13. #45114C2semidirect
14. #45102C2semidirect
15. #42807C2semidirect
16. #42786C2semidirect
17. #42678C2semidirect
18. #42647C2semidirect
19. #39597C2semidirect
20. #39490C2semidirect
21. #39470C2semidirect
22. #39172C2semidirect
23. #37823C2semidirect
24. #37783C2semidirect
25. #37711C2semidirect
26. #36579C2semidirect
27. #36482C2semidirect
28. #36437C2semidirect
29. #36405C2semidirect
30. #36151C2semidirect
31. #35182C2semidirect
32. #35155C2semidirect
34. #34691C2semidirect
35. #34487C2semidirect
322. D4×Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35502
C2×Q8×#412
#594132
#591142
#590812
#590712
#590362
#501762
#488272
#457632
#453892
#453332
#451142
#451022
#428072
#427862
#426782
#426472
#395972
#394902
#394702
#391722
#378232
#377832
#377112
#365792
#364822
#364372
#364052
#361512
#351822
#351552
#347152
#346912
#344872