Finite Group Databasebeta

← #7681056

Subgroups — #7681056

Order 512.

6905 conjugacy classes of subgroups.

The subgroup lattice has 1867 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3495C211yesmaximal, characteristic, complemented
2C2×#3461C211yesmaximal, characteristic, complemented
3#59120C212yesmaximal, complemented
4#59114C212yesmaximal, complemented
5#59113C212yesmaximal, complemented
6#59108C214yesmaximal, complemented
7#59106C214yesmaximal, complemented
8#59047C212yesmaximal, complemented
9#45287C212yesmaximal, complemented
10#45238C212yesmaximal, complemented
11#45185C212yesmaximal, complemented
12#44989C212yesmaximal, complemented
13#44042C214yesmaximal, complemented
14#43976C214yesmaximal, complemented
15#39377C212yesmaximal, complemented
16#39373C212yesmaximal, complemented
17#37767C212yesmaximal, complemented
18#37766C212yesmaximal, complemented
19#37765C212yesmaximal, complemented
20#37765C212yesmaximal, complemented
21#36135C212yesmaximal, complemented
22#36134C212yesmaximal, complemented
23#35673C211yesmaximal, characteristic, complemented
24#35661C211yesmaximal, characteristic, complemented
25#35530C211yesmaximal, characteristic, complemented
26#35518C211yesmaximal, characteristic
27#35275C211yesmaximal, characteristic, complemented
28#35257C211yesmaximal, characteristic, complemented
29#35253C211yesmaximal, characteristic, complemented
30#34742C211yesmaximal, characteristic, complemented
31C2×#2423C211yesmaximal, characteristic, complemented
32#34276C211yesmaximal, characteristic, complemented
33#34250C211yesmaximal, characteristic, complemented
34#34249C211yesmaximal, characteristic, complemented
35#34136C211yesmaximal, characteristic, complemented
36#3495—216no—
37C2×#556C2212yes—
38C2×#554C2212yes—
39C2×#552C2214yes—
40C2×#552C2212yes—
41C2×#552C2212yes—
42C2×#551C2214yes—
43#3461—216no—
44C2×#544C2211yescharacteristic
45C2×#544C2211yescharacteristic
46C2×#542C2212yes—
47C2×#542C2212yescomplemented
48C2×#542C2212yescomplemented
49C2×#541C2212yes—
50C2×#541C2212yescomplemented
51C2×#541C2212yescomplemented
52C2×#539C2214yes—
53C2×#537C2211yescharacteristic
54C2×#536C2211yescharacteristic
55C2×#536C2211yescharacteristic
56C2×#533C2212yes—
57C2×#533C2212yescomplemented
58C2×#533C2212yescomplemented
59C2×#529C2212yes—
60C2×#529C2214yes—
61C2×#529C2212yescomplemented
62C2×#529C2212yescomplemented
63C2×#525C2211yescharacteristic
64C2×#525C2211yescharacteristic
65C22×C22⋊Q8C2211yescharacteristic
66C2×#520C2211yescharacteristic
67C2×#520C2211yescharacteristic
68C2×#519C2211yescharacteristic
69C2×#519C2211yescharacteristic
70C2×C4×#41C2211yescharacteristic
71C2×C4×#41C2211yescharacteristic
72C22×C4×Q8C2211yescharacteristic
73C22×#117C2211yescharacteristic
74#2868C2212yescomplemented
75#2859C2212yescomplemented
76#2857C2212yes—
77#2857C2212yescomplemented
78#2851C2212yes—
79#2851C2212yescomplemented
80#2727C2214yes—
81#2727C2214yes—
82#2726C2214yescomplemented
83#2726C2214yescomplemented
84#2723C2214yes—
85#2723C2214yes—
86#2722C2214yescomplemented
87#2721C2214yes—
88#2721C2214yescomplemented
89#2720C2214yes—
90#2720C2214yescomplemented
91#2719C2214yescomplemented
92#2719C2214yescomplemented
93#2718C2214yes—
94#2718C2214yes—
95#2718C2214yescomplemented
96#2715C2214yescomplemented
97#2706C2214yes—
98#2698C2214yescomplemented
99#2695C2214yes—
100#2680C2214yescomplemented
101#2674C2214yes—
102#2674C2214yescomplemented
103#2672C2214yes—
104#2660C2212yescomplemented
105#2660C2212yescomplemented
106#2629C2212yes—
107#2629C2212yescomplemented
108#2628C2212yes—
109#2628C2212yescomplemented
110#2553C2214yes—
111#2553C2214yescomplemented
112#2552C2214yescomplemented
113#2552C2212yescomplemented
114#2552C2212yescomplemented
115#2551C2212yescomplemented
116#2551C2212yescomplemented
117#2542C2214yes—
118#2538C2212yes—
119#2538C2212yes—
120#2538C2212yes—
121#2537C2212yes—
122#2536C2212yes—
123#2536C2212yes—
124#2536C2212yes—
125#2535C2212yes—
126#2519C2214yes—
127#2519C2214yes—
128#2519C2214yescomplemented
129#2519C2214yescomplemented
130#2502C2212yescomplemented
131#2501C2214yes—
132#2501C2212yescomplemented
133#2500C2212yescomplemented
134#2499C2212yescomplemented
135#2498C2214yes—
136#2498C2214yes—
137#2496C2214yescomplemented
138#2491C2214yes—
139#2479C2214yes—
140#2479C2214yes—
141#2478C2214yescomplemented
142#2478C2214yescomplemented
143#2478C2214yescomplemented
144#2475C2214yes—
145#2475C2214yescomplemented
146#2474C2214yes—
147#2469C2214yes—
148#2469C2214yescomplemented
149#2468C2214yescomplemented
150#2462C2214yescomplemented
151#2462C2214yescomplemented
152#2461C2214yes—
153#2455C2214yes—
154#2455C2214yes—
155#2454C2212yescomplemented
156#2453C2212yescomplemented
157#2452C2212yescomplemented
158#2451C2212yescomplemented
159#2450C2214yes—
160#2449C2214yes—
161#2449C2214yes—
162#2448C2212yescomplemented
163#2448C2212yescomplemented
164#2446C2212yescomplemented
165#2446C2212yescomplemented
166#2443C2214yes—
167#2443C2214yes—
168#2442C2212yes—
169#2441C2214yes—
170#2441C2212yes—
171#2441C2214yescomplemented
172#2440C2214yes—
173#2440C2212yes—
174#2440C2214yes—
175#2440C2214yescomplemented
176#2439C2212yes—
177#2438C2214yes—
178#2438C2214yescomplemented
179#2437C2214yes—
180#2429C2214yes—
181#2429C2212yes—
182#2429C2212yes—
183#2429C2214yescomplemented
184#2426C2212yes—
185#2426C2212yes—
186#2425C2214yes—
187#2425C2214yes—
188#2424C2214yes—
189#2423C2211yescharacteristic
190#2423C2212yes—
191#2423C2212yes—
192#2423C2212yes—
193#2423C2212yes—
194#2423C2212yes—
195#2423C2212yes—
196#2423C2212yes—
197#2423C2212yes—
198#2423C2211yescharacteristic
199#2423C2212yescomplemented
200#2423C2212yescomplemented
201#2423C2212yescomplemented
202#2423C2212yescomplemented
203#2422C2211yescharacteristic
204#2422C2211yescharacteristic
205#2422C2212yescomplemented
206#2422C2212yescomplemented
207#2421C2211yescharacteristic
208#2421C2211yescharacteristic
209#2421C2212yescomplemented
210#2421C2212yescomplemented
211#2420C2211yescharacteristic
212#2420C2211yescharacteristic
213#2419C2212yes—
214#2419C2212yes—
215#2418C2212yes—
216#2418C2212yes—
217#2417C2212yes—
218#2416C2212yes—
219#2415C2212yes—
220#2414C2212yes—
221#2413C2214yes—
222#2413C2214yescomplemented
223#2411C2214yes—
224#2395C2212yes—
225#2395C2212yes—
226C2×#399C2212yes—
227C2×#398C2212yes—
228#2365C2214yescomplemented
229#2363C2211yescharacteristic
230#2363C2211yescharacteristic
231#2362C2211yescharacteristic
232#2362C2211yescharacteristic
233#2362C2212yescomplemented
234#2362C2212yescomplemented
235#2361C2211yescharacteristic
236#2361C2211yescharacteristic
237#2360C2211yescharacteristic
238#2360C2211yescharacteristic
239#2360C2212yescomplemented
240#2360C2212yescomplemented
241#2359C2212yes—
242#2359C2214yes—
243#2359C2214yes—
244#2359C2212yes—
245#2359C2214yes—
246#2359C2214yescomplemented
247#2358C2212yes—
248#2358C2212yes—
249#2354C2214yes—
250#2351C2212yescomplemented
251#2351C2212yescomplemented
252#2351C2212yescomplemented
253#2351C2212yescomplemented
254#2351C2212yescomplemented
255Q8×C4⋊C4C2212yescomplemented
256Q8×C4⋊C4C2212yescomplemented
257Q8×C4⋊C4C2212yescomplemented
258Q8×C4⋊C4C2212yescomplemented
259Q8×C4⋊C4C2212yescomplemented
260#2349C2214yes—
261#2349C2212yescomplemented
262D4×C4⋊C4C2214yes—
263D4×C4⋊C4C2212yescomplemented
264#2327C2212yescomplemented
265#2326C2212yescomplemented
266#2317C2214yes—
267#2317C2211yescharacteristic
268#2317C2211yescharacteristic
269#2317C2211yescharacteristic
270#2317C2211yescharacteristic
271#2317C2212yescomplemented
272#2316C2211yescharacteristic
273#2316C2212yescomplemented
274#2311C2211yescharacteristic
275#2311C2211yescharacteristic
276C4×C4⋊Q8C2212yescomplemented
277C4×#124C2212yescomplemented
278C4×#123C2212yes—
279C4×#123C2212yes—
280#2297C2211yescharacteristic
281#2297C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284#2296C2214yes—
285#2296C2212yescomplemented
286C2×#391C2211yescharacteristic
287#2293C2212yes—
288C2×#389C2211yescharacteristic
289C2×#389C2212yescomplemented
290#2290C2212yes—
291#2290C2212yes—
292C2×#388C2212yes—
293C2×#387C2212yes—
294#2285C2211yescharacteristic
295C2×#384C2211yescharacteristic
296#2280C2211yescharacteristic
297C2×#380C2211yescharacteristic
298C42×D4C2212yes—
299C4×#117C2211yescharacteristic
300C2×C4×C22⋊C4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C23×Q8C2311yescharacteristic
304C24×C4C2311yescharacteristic
305#556—216no—
306#554—216no—
307#552—232no—
308#552—216no—
309#552—216no—
310#551—232no—
311#544—28no—
312#544—28no—
313#542—216no—
314#542—216no—
315#542—216no—
316#541—216no—
317#541—216no—
318#541—216no—
319#539—232no—
320#537—28no—
321#536—28no—
322#536D4116yescomplemented
323#533—216no—
324#533—216no—
325#533—216no—
326C2×C4⋊Q8C2312yes—
327C2×C4⋊Q8C2312yes—
328C2×C4⋊Q8C2312yes—
329C2×C4⋊Q8C2312yes—
330C2×C4⋊Q8C2312yes—
331C2×C4⋊Q8C2314yes—
332C2×C4⋊Q8C2314yes—
333C2×C4⋊Q8C2312yes—
334#529—216no—
335#529—216no—
336#529—232no—
337#529—216no—
338C2×#126C2314yes—
339C2×#126C2314yes—
340C2×#126C2314yes—
341C2×#126C2314yes—
342C2×#126C2314yes—
343C2×#126C2314yes—
344C2×#126C2314yes—
345C2×#126C2314yes—
346C2×#125C2312yes—
347C2×#125C2312yes—
348C2×#125C2314yes—
349C2×#125C2312yes—
350C2×#125C2314yes—
351C2×#125C2314yes—
352C2×#125C2314yes—
353C2×#125C2314yes—
354C2×#125C2314yes—
355C2×#125C2312yes—
356C2×#124C2314yes—
357C2×#124C2312yes—
358C2×#124C2314yes—
359C2×#124C2312yes—
360#525—28no—
361#525—28no—
362C2×#123C2312yes—
363C2×#123C2312yes—
364C2×#123C2314yes—
365C2×#123C2312yes—
366C2×#123C2314yes—
367C2×#123C2314yes—
368C2×#123C2314yes—
369C2×#123C2314yes—
370C2×#123C2314yes—
371C2×#123C2312yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×C22⋊Q8—28no—
375C2×C22⋊Q8C2311yescharacteristic
376C2×C22⋊Q8C2311yescharacteristic
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2311yescharacteristic
382C2×C22⋊Q8C2311yescharacteristic
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2314yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×#121C2311yescharacteristic
398C2×#121C2311yescharacteristic
399C2×#121C2311yescharacteristic
400C2×#121C2311yescharacteristic
401C2×#121C2312yes—
402C2×#121C2314yes—
403C2×#121C2312yes—
404C2×#121C2314yes—
405C2×#120C2312yes—
406C2×#120C2312yes—
407#520—28no—
408#520—28no—
409#519—28no—
410#519—28no—
411C4×#41—28no—
412C4×#41—28no—
413C2×C4×Q8—28no—
414C2×C4×Q8C2312yes—
415C2×C4×Q8C2312yes—
416C2×C4×Q8C2312yes—
417C2×C4×Q8C2311yescharacteristic
418C2×C4×Q8C2312yes—
419C2×C4×Q8C2312yes—
420C2×C4×Q8C2312yes—
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2312yes—
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2311yescharacteristic
428C2×C4×Q8C2312yes—
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2311yescharacteristic
431C2×C4×Q8C2311yescharacteristic
432C2×C4×Q8C2314yes—
433C2×C4×Q8C2314yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2314yes—
437C2×C4×D4C2314yes—
438C2×C4×D4C2311yescharacteristic
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2314yes—
446C2×C4×D4C2314yes—
447C2×C4×D4C2311yescharacteristic
448C2×C4×D4C2311yescharacteristic
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×#117—28no—
455C2×#117C2311yescharacteristic
456C2×#117C2311yescharacteristic
457C2×#117C2311yescharacteristic
458C2×#117C2311yescharacteristic
459C2×#117C2312yes—
460C2×#117C2312yes—
461C2×#117C2314yes—
462C2×#117C2314yes—
463C2×#117C2312yes—
464C2×#117C2314yes—
465C2×#117C2314yes—
466C2×#117C2312yes—
467C2×#117C2314yes—
468C2×#117C2314yes—
469C2×#117C2311yescharacteristic
470C2×#117C2311yescharacteristic
471C2×#117C2312yes—
472C2×#117C2312yes—
473C2×#117C2311yescharacteristic
474C2×#117C2311yescharacteristic
475C22×C4⋊C4C2311yescharacteristic
476C22×C4⋊C4C2311yescharacteristic
477C22×C4⋊C4C2312yes—
478C22×C4⋊C4C2312yes—
479C22×C4⋊C4C2311yescharacteristic
480C22×C4⋊C4C2312yes—
481C22×C4⋊C4C2311yescharacteristic
482C22×C4⋊C4C2311yescharacteristic
483C22×C4⋊C4C2312yes—
484C22×C4⋊C4C2312yes—
485C22×C4⋊C4C2312yes—
486C22×C4⋊C4C2314yes—
487C22×C4⋊C4C2312yes—
488C22×C22⋊C4C2312yes—
489C22×C22⋊C4C2311yescharacteristic
490C22×C22⋊C4C2312yes—
491C22×C22⋊C4C2311yescharacteristic
492C22×C22⋊C4C2312yes—
493C22×C42C2312yes—
494C22×C42C2312yes—
495C22×C42C2311yescharacteristic
496C22×C42C2312yes—
497C22×C42C2312yes—
498C22×C42C2311yescharacteristic
499#400C2314yes—
500#400C2314yes—
501#400C2312yes—
502#400C2312yes—
503#400C2314yes—
504#400C2314yes—
505#399C2314yes—
506#399C2314yes—
507#399C2314yes—
508#399C2314yes—
509#399C2314yes—
510#399C2314yes—
511#399C2312yes—
512#399C2312yes—
513#399C2314yes—
514#399C2314yes—
515#399C2314yes—
516#399C2314yes—
517#398C2314yes—
518#398C2314yes—
519#398C2314yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#398C2314yes—
524#398C2314yes—
525#398C2312yes—
526#398C2312yes—
527#398C2314yes—
528#398C2314yes—
529#398C2314yes—
530#398C2314yes—
531#398C2314yes—
532#398C2314yes—
533#398C2314yes—
534#398C2314yes—
535#398C2314yes—
536#398C2314yes—
537#398C2314yes—
538#397C2312yes—
539#397C2312yes—
540#397C2312yes—
541#397C2312yes—
542#397C2312yes—
543#397C2312yes—
544#397C2314yes—
545#397C2314yes—
546#397C2314yes—
547#397C2314yes—
548#397C2314yes—
549#396C2314yes—
550#396C2314yes—
551#396C2314yes—
552#396C2314yes—
553#396C2314yes—
554#396C2314yes—
555#396C2314yes—
556#396C2314yes—
557#396C2314yes—
558#396C2314yes—
559#395C2314yes—
560#395C2314yes—
561#395C2314yes—
562#395C2314yes—
563#395C2314yes—
564#395C2314yes—
565#394C2312yes—
566#394C2312yes—
567#394C2312yes—
568#394C2312yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2314yes—
575#394C2314yes—
576#393C2314yes—
577#393C2314yes—
578#392C2314yes—
579#391C2311yescharacteristic
580#391C2312yes—
581#391C2312yes—
582#391C2312yes—
583#391C2312yes—
584#391C2311yescharacteristic
585#391C2314yes—
586#391C2314yes—
587#391C2311yescharacteristic
588#391C2311yescharacteristic
589#391C2312yes—
590#391C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2311yescharacteristic
594#390C2314yes—
595#390C2314yes—
596#390C2312yes—
597#390C2312yes—
598#390C2311yescharacteristic
599#390C2311yescharacteristic
600#390C2314yes—
601#390C2311yescharacteristic
602#389C2314yes—
603#389C2314yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2311yescharacteristic
609#389C2312yes—
610#389C2312yes—
611#389C2314yes—
612#389C2314yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2314yes—
617#389C2312yes—
618#389C2312yes—
619#389C2314yes—
620#389C2314yes—
621#389C2314yes—
622#389C2312yes—
623#389C2312yes—
624#389C2311yescharacteristic
625#389C2311yescharacteristic
626#389C2312yes—
627#389C2314yes—
628#389C2311yescharacteristic
629#389C2314yes—
630#389C2314yes—
631#389C2314yes—
632#389C2314yes—
633#389C2314yes—
634#389C2314yes—
635#389C2312yes—
636#389C2314yes—
637#389C2311yescharacteristic
638#389C2311yescharacteristic
639#389C2314yes—
640#389C2314yes—
641#389C2311yescharacteristic
642#389C2311yescharacteristic
643#389C2314yes—
644#389C2314yes—
645#389C2312yes—
646#389C2312yes—
647#389C2314yes—
648#389C2314yes—
649#389C2314yes—
650#389C2312yes—
651#388C2314yes—
652#388C2314yes—
653#388C2312yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2314yes—
664#388C2314yes—
665#388C2312yes—
666#388C2312yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2312yes—
677#388C2312yes—
678#388C2312yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2312yes—
692#387C2312yes—
693#387C2312yes—
694#387C2312yes—
695#387C2314yes—
696#387C2314yes—
697#387C2312yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2312yes—
702#387C2312yes—
703#387C2312yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2312yes—
712#386C2312yes—
713#386C2312yes—
714#386C2312yes—
715#386C2312yes—
716#386C2312yes—
717#386C2312yes—
718#386C2312yes—
719#386C2314yes—
720#386C2314yes—
721#386C2312yes—
722#386C2312yes—
723#385C2312yes—
724#385C2312yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2312yes—
739#385C2314yes—
740#385C2312yes—
741#385C2312yes—
742#385C2312yes—
743#385C2312yes—
744#385C2314yes—
745#385C2312yes—
746#385C2312yes—
747#385C2312yes—
748#385C2314yes—
749#384C2312yes—
750#384C2312yes—
751#384C2312yes—
752#384C2314yes—
753#384C2312yes—
754#384C2314yes—
755#384C2314yes—
756#384C2311yescharacteristic
757#384C2312yes—
758#384C2314yes—
759#384C2311yescharacteristic
760#384C2314yes—
761#384C2312yes—
762#384C2312yes—
763#384C2312yes—
764#382C2312yes—
765#382C2312yes—
766#382C2312yes—
767#382C2312yes—
768#382C2314yes—
769#382C2314yes—
770#382C2314yes—
771#382C2311yescharacteristic
772#382C2311yescharacteristic
773#381C2312yes—
774#381C2312yes—
775#381C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2314yes—
781#380C2314yes—
782#380C2314yes—
783#380C2311yescharacteristic
784#380C2312yes—
785#380C2311yescharacteristic
786#380C2314yes—
787#380C2314yes—
788#380C2311yescharacteristic
789#380C2312yes—
790#380C2311yescharacteristic
791#380C2312yes—
792#380C2312yes—
793#380C2314yes—
794#380C2312yes—
795#380C2312yes—
796#379C2312yes—
797C4×C4⋊C4C2314yes—
798C4×C4⋊C4C2314yes—
799C4×C4⋊C4C2314yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2314yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2314yes—
804C4×C4⋊C4C2314yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2314yes—
808C4×C4⋊C4C2314yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2314yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2314yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2311yescharacteristic
826C4×C22⋊C4C2311yescharacteristic
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2311yescharacteristic
830C4×C22⋊C4C2311yescharacteristic
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2311yescharacteristic
834C4×C22⋊C4C2311yescharacteristic
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2312yes—
839#376C2312yes—
840C2×#95C2312yes—
841C2×#95C2314yes—
842C2×#95C2311yescharacteristic
843C2×#95C2312yes—
844C2×#95C2312yes—
845C2×#95C2311yescharacteristic
846C2×#95C2312yes—
847C43C2312yes—
848C25C2411yescharacteristic
849C2×#41—24no—
850C2×#41—24no—
851C2×#41—24no—
852C2×#41—24no—
853C2×#41—24no—
854C2×#41C2×D418yes—
855C22×Q8—24no—
856C22×Q8—24no—
857C22×Q8C2×D418yes—
858C22×Q8C2411yescharacteristic
859C22×Q8C2412yes—
860C22×Q8C2412yes—
861C22×Q8C2411yescharacteristic
862C22×Q8C2414yes—
863C22×Q8C2414yes—
864C22×D4C2412yes—
865C22×D4C2411yescharacteristic
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2412yes—
869C22×D4C2411yescharacteristic
870C22×D4C2412yes—
871C22×D4C2412yes—
872C22×D4C2414yes—
873C23×C4—24no—
874C23×C4—24no—
875C23×C4—24no—
876C23×C4C2411yescharacteristic
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2412yes—
881C23×C4C2411yescharacteristic
882C23×C4C2411yescharacteristic
883C23×C4C2411yescharacteristic
884C23×C4C2412yes—
885C23×C4C2411yescharacteristic
886C23×C4C2412yes—
887C23×C4C2412yes—
888C23×C4C2412yes—
889C23×C4C2412yes—
890C23×C4C2412yes—
891C23×C4C2411yescharacteristic
892C23×C4C2412yes—
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2414yes—
896C23×C4C2414yes—
897C23×C4C2412yes—
898C23×C4C2412yes—
899C23×C4C2411yescharacteristic
900C4⋊Q8—28no—
901C4⋊Q8—28no—
902C4⋊Q8—28no—
903C4⋊Q8—28no—
904C4⋊Q8—28no—
905C4⋊Q8—48no—
906C4⋊Q8—84no—
907C4⋊Q8C2×D4116yes—
908#126—216no—
909#126—216no—
910#126—216no—
911#126—216no—
912#126—216no—
913#126—216no—
914#126—216no—
915#126—216no—
916#125—216no—
917#125—28no—
918#125—216no—
919#125—216no—
920#125—216no—
921#125—216no—
922#125—216no—
923#125—28no—
924#125—28no—
925#125—28no—
926#124—28no—
927#124—216no—
928#124—216no—
929#124C2×D4116yes—
930#123—28no—
931#123—216no—
932#123—216no—
933#123—216no—
934#123—216no—
935#123—216no—
936#123—28no—
937#123—28no—
938#123—44no—
939#123—48no—
940#123—84no—
941#123C2×D4132yes—
942C22⋊Q8—28no—
943C22⋊Q8—28no—
944C22⋊Q8—28no—
945C22⋊Q8—28no—
946C22⋊Q8—24no—
947C22⋊Q8—24no—
948C22⋊Q8—28no—
949C22⋊Q8—28no—
950C22⋊Q8—28no—
951C22⋊Q8—28no—
952C22⋊Q8—216no—
953C22⋊Q8—216no—
954C22⋊Q8—24no—
955C22⋊Q8—24no—
956C22⋊Q8—216no—
957C22⋊Q8—216no—
958C22⋊Q8—216no—
959C22⋊Q8—216no—
960C22⋊Q8—84no—
961C22⋊Q8—84no—
962C22⋊Q8C2×D4116yes—
963C22⋊Q8C2×D4116yes—
964#121—24no—
965#121—24no—
966#121—216no—
967#121—28no—
968#121—28no—
969#121—24no—
970#121—24no—
971#121—84no—
972#120—28no—
973#120—28no—
974C4×Q8—28no—
975C4×Q8—28no—
976C4×Q8—28no—
977C4×Q8—28no—
978C4×Q8—24no—
979C4×Q8—24no—
980C4×Q8—28no—
981C4×Q8—28no—
982C4×Q8—28no—
983C4×Q8—28no—
984C4×Q8—28no—
985C4×Q8—24no—
986C4×Q8—24no—
987C4×Q8—216no—
988C4×Q8—216no—
989C4×Q8—28no—
990C4×Q8—28no—
991C4×Q8—28no—
992C4×Q8—28no—
993C4×Q8—28no—
994C4×D4—24no—
995C4×D4—28no—
996C4×D4—28no—
997C4×D4—24no—
998C4×D4—28no—
999C4×D4—216no—
1000C4×D4—28no—
1001C4×D4—28no—
1002C4×D4—24no—
1003C4×D4—24no—
1004C4×D4—28no—
1005C4×D4—28no—
1006C4×D4—216no—
1007C4×D4—216no—
1008C4×D4—216no—
1009C4×D4—28no—
1010C4×D4—28no—
1011C4×D4—28no—
1012C4×D4—28no—
1013C4×D4—44no—
1014#117—24no—
1015#117—24no—
1016#117—28no—
1017#117—24no—
1018#117—216no—
1019#117—28no—
1020#117—24no—
1021#117—24no—
1022#117—24no—
1023#117—216no—
1024#117—216no—
1025#117—28no—
1026#117—28no—
1027#117—216no—
1028#117—216no—
1029#117—216no—
1030#117—28no—
1031#117—28no—
1032#117C2×D418yes—
1033#117#4118yes—
1034C2×C4⋊C4—24no—
1035C2×C4⋊C4—28no—
1036C2×C4⋊C4—24no—
1037C2×C4⋊C4—28no—
1038C2×C4⋊C4—28no—
1039C2×C4⋊C4—24no—
1040C2×C4⋊C4—24no—
1041C2×C4⋊C4—24no—
1042C2×C4⋊C4—28no—
1043C2×C4⋊C4—44no—
1044C2×C4⋊C4—82no—
1045C2×C4⋊C4—84no—
1046C2×C4⋊C4—82no—
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C22⋊C4—28no—
1125C2×C22⋊C4—28no—
1126C2×C22⋊C4—24no—
1127C2×C22⋊C4—42no—
1128C2×C22⋊C4—82no—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2411yescharacteristic
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2411yescharacteristic
1136C2×C22⋊C4C2411yescharacteristic
1137C2×C22⋊C4C2411yescharacteristic
1138C2×C22⋊C4C2411yescharacteristic
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2411yescharacteristic
1168C2×C22⋊C4C2411yescharacteristic
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2411yescharacteristic
1185C2×C42—24no—
1186C2×C42—28no—
1187C2×C42—28no—
1188C2×C42—24no—
1189C2×C42—28no—
1190C2×C42—28no—
1191C2×C42C2412yes—
1192C2×C42C2412yes—
1193C2×C42C2411yescharacteristic
1194C2×C42C2411yescharacteristic
1195C2×C42C2412yes—
1196C2×C42C2412yes—
1197C2×C42C2414yes—
1198C2×C42C2414yes—
1199C2×C42C2414yes—
1200C2×C42C2414yes—
1201C2×C42C2412yes—
1202C2×C42C2412yes—
1203C2×C42C2412yes—
1204C2×C42C2414yes—
1205C2×C42C2412yes—
1206C2×C42C2414yes—
1207C2×C42C2414yes—
1208C2×C42C2411yescharacteristic
1209C2×C42C2411yescharacteristic
1210C2×C42C2412yes—
1211C2×C42C2412yes—
1212C2×C42C2412yes—
1213C2×C42C2412yes—
1214C2×C42C2414yes—
1215C2×C42C2411yescharacteristic
1216C2×C42C2411yescharacteristic
1217C2×C42C2411yescharacteristic
1218C2×C42C2411yescharacteristic
1219C2×C42C2412yes—
1220C2×C42C2412yes—
1221C2×C42C2412yes—
1222C2×C42C2412yes—
1223#95C2412yes—
1224#95C2414yes—
1225#95C2411yescharacteristic
1226#95C2411yescharacteristic
1227#95C2411yescharacteristic
1228#95C2411yescharacteristic
1229#95C2411yescharacteristic
1230#95C2411yescharacteristic
1231#95C2411yescharacteristic
1232#95C2411yescharacteristic
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2414yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2414yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281C24—22no—
1282C24—22no—
1283C24—22no—
1284C24—22no—
1285C24—41no—
1286C24—41no—
1287C24—41no—
1288C24C2511yescharacteristic
1289C24C2512yes—
1290C24C2512yes—
1291C24C2511yescharacteristic
1292C24C2511yescharacteristic
1293#41—232no—
1294#41—416no—
1295C2×Q8—232no—
1296C2×Q8—22no—
1297C2×Q8—28no—
1298C2×Q8—28no—
1299C2×Q8—24no—
1300C2×Q8—24no—
1301C2×Q8—22no—
1302C2×Q8—22no—
1303C2×Q8—24no—
1304C2×Q8—24no—
1305C2×Q8—22no—
1306C2×Q8—22no—
1307C2×Q8—44no—
1308C2×Q8—44no—
1309C2×Q8—44no—
1310C2×Q8—44no—
1311C2×Q8C22×D418yes—
1312C2×Q8C22×D414yes—
1313C2×Q8C22×D418yes—
1314C2×D4—24no—
1315C2×D4—24no—
1316C2×D4—24no—
1317C2×D4—24no—
1318C2×D4—24no—
1319C2×D4—24no—
1320C2×D4—24no—
1321C2×D4—24no—
1322C2×D4—24no—
1323C2×D4—28no—
1324C2×D4—22no—
1325C2×D4—22no—
1326C2×D4—24no—
1327C2×D4—22no—
1328C2×D4—24no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—42no—
1332C2×D4—42no—
1333C2×D4—42no—
1334C2×D4—42no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—42no—
1338C2×D4—42no—
1339C2×D4C22×D418yes—
1340C2×D4C22×D414yes—
1341C22×C4—24no—
1342C22×C4—24no—
1343C22×C4—24no—
1344C22×C4—24no—
1345C22×C4—22no—
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—24no—
1355C22×C4—24no—
1356C22×C4—24no—
1357C22×C4—28no—
1358C22×C4—24no—
1359C22×C4—22no—
1360C22×C4—24no—
1361C22×C4—24no—
1362C22×C4—24no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—24no—
1369C22×C4—22no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—24no—
1374C22×C4—24no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—24no—
1380C22×C4—22no—
1381C22×C4—24no—
1382C22×C4—24no—
1383C22×C4—28no—
1384C22×C4—41no—
1385C22×C4—41no—
1386C22×C4—42no—
1387C22×C4—42no—
1388C22×C4—42no—
1389C22×C4—41no—
1390C22×C4—41no—
1391C22×C4—42no—
1392C22×C4—42no—
1393C22×C4—42no—
1394C22×C4—42no—
1395C22×C4—42no—
1396C22×C4—42no—
1397C22×C4—41no—
1398C22×C4—44no—
1399C22×C4—44no—
1400C22×C4—42no—
1401C22×C4—42no—
1402C22×C4—42no—
1403C22×C4—42no—
1404C22×C4—42no—
1405C22×C4—44no—
1406C22×C4—44no—
1407C22×C4—42no—
1408C22×C4—416no—
1409C22×C4C22×D418yes—
1410C22×C4C22×D418yes—
1411C22×C4C22×D414yes—
1412C22×C4C2×#4114yes—
1413C22×C42−1+414yes—
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C22×C4C2512yes—
1417C22×C4C2514yes—
1418C22×C4C2511yescharacteristic
1419C22×C4C2512yes—
1420C22×C4C2511yescharacteristic
1421C22×C4C2511yescharacteristic
1422C22×C4C2512yes—
1423C22×C4C2512yes—
1424C22×C4C2512yes—
1425C22×C4C2512yes—
1426C22×C4C2511yescharacteristic
1427C22×C4C2511yescharacteristic
1428C22×C4C2512yes—
1429C22×C4C2512yes—
1430C22×C4C2512yes—
1431C22×C4C2514yes—
1432C22×C4C2514yes—
1433C22×C4C2514yes—
1434C22×C4C2512yes—
1435C22×C4C2512yes—
1436C22×C4C2512yes—
1437C22×C4C2512yes—
1438C22×C4C2512yes—
1439C22×C4C2511yescharacteristic
1440C22×C4C2511yescharacteristic
1441C22×C4C2511yescharacteristic
1442C22×C4C2511yescharacteristic
1443C22×C4C2511yescharacteristic
1444C4⋊C4—22no—
1445C4⋊C4—24no—
1446C4⋊C4—22no—
1447C4⋊C4—24no—
1448C4⋊C4—24no—
1449C4⋊C4—28no—
1450C4⋊C4—24no—
1451C4⋊C4—28no—
1452C4⋊C4—24no—
1453C4⋊C4—24no—
1454C4⋊C4—28no—
1455C4⋊C4—28no—
1456C4⋊C4—28no—
1457C4⋊C4—24no—
1458C4⋊C4—24no—
1459C4⋊C4—22no—
1460C4⋊C4—22no—
1461C4⋊C4—24no—
1462C4⋊C4—24no—
1463C4⋊C4—22no—
1464C4⋊C4—22no—
1465C4⋊C4—28no—
1466C4⋊C4—28no—
1467C4⋊C4—28no—
1468C4⋊C4—28no—
1469C4⋊C4—28no—
1470C4⋊C4—28no—
1471C4⋊C4—28no—
1472C4⋊C4—24no—
1473C4⋊C4—24no—
1474C4⋊C4—28no—
1475C4⋊C4—28no—
1476C4⋊C4—28no—
1477C4⋊C4—28no—
1478C4⋊C4—24no—
1479C4⋊C4—28no—
1480C4⋊C4—24no—
1481C4⋊C4—28no—
1482C4⋊C4—28no—
1483C4⋊C4—22no—
1484C4⋊C4—22no—
1485C4⋊C4—24no—
1486C4⋊C4—24no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—24no—
1490C4⋊C4—28no—
1491C4⋊C4—24no—
1492C4⋊C4—44no—
1493C4⋊C4—42no—
1494C4⋊C4—44no—
1495C4⋊C4—44no—
1496C4⋊C4—44no—
1497C4⋊C4—44no—
1498C4⋊C4—44no—
1499C4⋊C4—44no—
1500C4⋊C4—42no—
1501C4⋊C4—44no—
1502C4⋊C4—42no—
1503C4⋊C4—42no—
1504C4⋊C4—44no—
1505C4⋊C4—42no—
1506C4⋊C4—44no—
1507C4⋊C4—44no—
1508C4⋊C4—42no—
1509C4⋊C4—44no—
1510C4⋊C4—42no—
1511C4⋊C4—44no—
1512C4⋊C4—44no—
1513C4⋊C4—44no—
1514C4⋊C4—42no—
1515C4⋊C4C22×D414yes—
1516C4⋊C4C22×D414yes—
1517C4⋊C4C22×D4116yes—
1518C4⋊C4C22×D4116yes—
1519C4⋊C4C2×#4114yes—
1520C4⋊C4C2×#4114yes—
1521C22⋊C4—24no—
1522C22⋊C4—24no—
1523C22⋊C4—24no—
1524C22⋊C4—24no—
1525C22⋊C4—24no—
1526C22⋊C4—28no—
1527C22⋊C4—24no—
1528C22⋊C4—28no—
1529C22⋊C4—24no—
1530C22⋊C4—24no—
1531C22⋊C4—22no—
1532C22⋊C4—24no—
1533C22⋊C4—24no—
1534C22⋊C4—24no—
1535C22⋊C4—28no—
1536C22⋊C4—28no—
1537C22⋊C4—24no—
1538C22⋊C4—24no—
1539C22⋊C4—24no—
1540C22⋊C4—28no—
1541C22⋊C4—28no—
1542C22⋊C4—24no—
1543C22⋊C4—28no—
1544C22⋊C4—28no—
1545C22⋊C4—24no—
1546C22⋊C4—24no—
1547C22⋊C4—24no—
1548C22⋊C4—24no—
1549C22⋊C4—22no—
1550C22⋊C4—22no—
1551C22⋊C4—24no—
1552C22⋊C4—24no—
1553C22⋊C4—22no—
1554C22⋊C4—22no—
1555C22⋊C4—24no—
1556C22⋊C4—24no—
1557C22⋊C4—41no—
1558C22⋊C4—41no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—42no—
1562C22⋊C4—42no—
1563C22⋊C4—42no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—42no—
1567C22⋊C4—44no—
1568C22⋊C4—44no—
1569C22⋊C4—42no—
1570C22⋊C4—42no—
1571C22⋊C4—42no—
1572C22⋊C4C22×D418yes—
1573C22⋊C4C22×D4116yes—
1574C22⋊C4C22×D4116yes—
1575C22⋊C4C2×#4118yes—
1576C22⋊C42−1+414yes—
1577C42—22no—
1578C42—22no—
1579C42—24no—
1580C42—24no—
1581C42—28no—
1582C42—24no—
1583C42—22no—
1584C42—22no—
1585C42—24no—
1586C42—24no—
1587C42—24no—
1588C42—24no—
1589C42—24no—
1590C42—28no—
1591C42—28no—
1592C42—28no—
1593C42—28no—
1594C42—24no—
1595C42—28no—
1596C42—28no—
1597C42—28no—
1598C42—24no—
1599C42—22no—
1600C42—22no—
1601C42—22no—
1602C42—22no—
1603C42—24no—
1604C42—24no—
1605C42—42no—
1606C42—42no—
1607C42C22×D418yes—
1608C42C2×#4118yes—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—22no—
1615C23—21no—
1616C23—22no—
1617C23—21no—
1618C23—22no—
1619C23—21no—
1620C23—22no—
1621C23—21no—
1622C23—22no—
1623C23—22no—
1624C23—21no—
1625C23—21no—
1626C23—22no—
1627C23—21no—
1628C23—22no—
1629C23—21no—
1630C23—22no—
1631C23—21no—
1632C23—22no—
1633C23—21no—
1634C23—22no—
1635C23—22no—
1636C23—21no—
1637C23—22no—
1638C23—21no—
1639C23—44no—
1640C23—44no—
1641C23—44no—
1642C23—44no—
1643C23—82no—
1644C23—82no—
1645C23—82no—
1646C23C23×D414yes—
1647C23C23×D412yes—
1648C23C22×#4112yes—
1649C23C2×2−1+412yes—
1650C23C2×2−1+412yes—
1651C23C2611yescharacteristic
1652Q8—216no—
1653Q8—216no—
1654Q8—28no—
1655Q8—44no—
1656Q8—88no—
1657Q8—88no—
1658D4—216no—
1659D4—28no—
1660D4—48no—
1661D4—48no—
1662D4—48no—
1663D4—44no—
1664D4—84no—
1665D4—88no—
1666D4—84no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—24no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—24no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—21no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—21no—
1685C2×C4—216no—
1686C2×C4—216no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—22no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—24no—
1698C2×C4—22no—
1699C2×C4—24no—
1700C2×C4—21no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—24no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—22no—
1722C2×C4—21no—
1723C2×C4—24no—
1724C2×C4—22no—
1725C2×C4—24no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—21no—
1729C2×C4—24no—
1730C2×C4—24no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—24no—
1734C2×C4—22no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—24no—
1743C2×C4—21no—
1744C2×C4—48no—
1745C2×C4—44no—
1746C2×C4—48no—
1747C2×C4—48no—
1748C2×C4—44no—
1749C2×C4—44no—
1750C2×C4—44no—
1751C2×C4—44no—
1752C2×C4—44no—
1753C2×C4—44no—
1754C2×C4—44no—
1755C2×C4—48no—
1756C2×C4—84no—
1757C2×C4—84no—
1758C2×C4—88no—
1759C2×C4—82no—
1760C2×C4—88no—
1761C2×C4—84no—
1762C2×C4—84no—
1763C2×C4—84no—
1764C2×C4—84no—
1765C2×C4#547116yes—
1766C2×C4C23×D418yes—
1767C2×C4C23×D414yes—
1768C2×C4C23×D414yes—
1769C2×C4C23×D414yes—
1770C2×C4C23×D412yes—
1771C2×C4C23×D412yes—
1772C2×C4C22×#4114yes—
1773C2×C4C22×#4114yes—
1774C2×C4C22×#4112yes—
1775C2×C4C22×#4112yes—
1776C2×C4C2×2−1+412yes—
1777C2×C4C2×2−1+412yes—
1778C2×C4C2×2−1+412yes—
1779C2×C4C2×2−1+412yes—
1780C2×C4#58512yes—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—22no—
1786C22—22no—
1787C22—22no—
1788C22—24no—
1789C22—24no—
1790C22—22no—
1791C22—22no—
1792C22—24no—
1793C22—41no—
1794C22—42no—
1795C22—42no—
1796C22—41no—
1797C22—42no—
1798C22—41no—
1799C22—42no—
1800C22—41no—
1801C22—42no—
1802C22—41no—
1803C22—42no—
1804C22—41no—
1805C22—42no—
1806C22—41no—
1807C22—41no—
1808C22—42no—
1809C22—42no—
1810C22—41no—
1811C22—42no—
1812C22—41no—
1813C22—41no—
1814C22—42no—
1815C22—88no—
1816C22C2×#54714yes—
1817C22C24×D411yescharacteristic
1818C22C23×#4111yescharacteristic
1819C22C22×2−1+411yescharacteristic
1820C22C22×2−1+411yescharacteristic
1821C22C2×#58511yescharacteristic
1822C22H(7,𝔽2)11yescharacteristic
1823C222−1+611yescharacteristic
1824C4—22no—
1825C4—24no—
1826C4—24no—
1827C4—24no—
1828C4—24no—
1829C4—22no—
1830C4—22no—
1831C4—24no—
1832C4—28no—
1833C4—41no—
1834C4—42no—
1835C4—42no—
1836C4—42no—
1837C4—41no—
1838C4—41no—
1839C4—42no—
1840C4—44no—
1841C4—44no—
1842C4—42no—
1843C4—42no—
1844C4—42no—
1845C4—42no—
1846C4—44no—
1847C4—41no—
1848C4—41no—
1849C4—41no—
1850C4—41no—
1851C4—42no—
1852C4C2×#54714yes—
1853C4C2×#54714yes—
1854C2—24no—
1855C2—44no—
1856C2—42no—
1857C2—82no—
1858C2—81no—
1859C2C22×#54711yescharacteristic
1860C2#6280511yescharacteristic
1861C2#6285711yescharacteristic
1862C2#6292811yescharacteristic
1863C2#6294511yescharacteristic
1864C2D4×2−1+411yescharacteristic
1865C2#6300311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35518C2
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×#3495C2semidirect
2. C2×#3461C2semidirect
3. #59120C2semidirect
4. #59114C2semidirect
5. #59113C2semidirect
6. #59108C2semidirect
7. #59106C2semidirect
8. #59047C2semidirect
9. #45287C2semidirect
10. #45238C2semidirect
11. #45185C2semidirect
12. #44989C2semidirect
13. #44042C2semidirect
14. #43976C2semidirect
15. #39377C2semidirect
16. #39373C2semidirect
17. #37767C2semidirect
18. #37766C2semidirect
19. #37765C2semidirect
20. #37765C2semidirect
21. #36135C2semidirect
22. #36134C2semidirect
23. #35673C2semidirect
24. #35661C2semidirect
25. #35530C2semidirect
27. #35275C2semidirect
28. #35257C2semidirect
29. #35253C2semidirect
30. #34742C2semidirect
31. C2×#2423C2semidirect
32. #34276C2semidirect
33. #34250C2semidirect
34. #34249C2semidirect
35. #34136C2semidirect
47. C2×#542C22semidirect
48. C2×#542C22semidirect
50. C2×#541C22semidirect
51. C2×#541C22semidirect
57. C2×#533C22semidirect
58. C2×#533C22semidirect
61. C2×#529C22semidirect
62. C2×#529C22semidirect
74. #2868C22semidirect
75. #2859C22semidirect
77. #2857C22semidirect
79. #2851C22semidirect
82. #2726C22semidirect
83. #2726C22semidirect
86. #2722C22semidirect
88. #2721C22semidirect
90. #2720C22semidirect
91. #2719C22semidirect
92. #2719C22semidirect
95. #2718C22semidirect
96. #2715C22semidirect
98. #2698C22semidirect
100. #2680C22semidirect
102. #2674C22semidirect
104. #2660C22semidirect
105. #2660C22semidirect
107. #2629C22semidirect
109. #2628C22semidirect
111. #2553C22semidirect
112. #2552C22semidirect
113. #2552C22semidirect
114. #2552C22semidirect
115. #2551C22semidirect
116. #2551C22semidirect
128. #2519C22semidirect
129. #2519C22semidirect
130. #2502C22semidirect
132. #2501C22semidirect
133. #2500C22semidirect
134. #2499C22semidirect
137. #2496C22semidirect
141. #2478C22semidirect
142. #2478C22semidirect
143. #2478C22semidirect
145. #2475C22semidirect
148. #2469C22semidirect
149. #2468C22semidirect
150. #2462C22semidirect
151. #2462C22semidirect
155. #2454C22semidirect
156. #2453C22semidirect
157. #2452C22semidirect
158. #2451C22semidirect
162. #2448C22semidirect
163. #2448C22semidirect
164. #2446C22semidirect
165. #2446C22semidirect
171. #2441C22semidirect
175. #2440C22semidirect
178. #2438C22semidirect
183. #2429C22semidirect
199. #2423C22semidirect
200. #2423C22semidirect
201. #2423C22semidirect
202. #2423C22semidirect
205. #2422C22semidirect
206. #2422C22semidirect
209. #2421C22semidirect
210. #2421C22semidirect
222. #2413C22semidirect
228. #2365C22semidirect
233. #2362C22semidirect
234. #2362C22semidirect
239. #2360C22semidirect
240. #2360C22semidirect
246. #2359C22semidirect
250. #2351C22semidirect
251. #2351C22semidirect
252. #2351C22semidirect
253. #2351C22semidirect
254. #2351C22semidirect
255. Q8×C4⋊C4C22semidirect
256. Q8×C4⋊C4C22semidirect
257. Q8×C4⋊C4C22semidirect
258. Q8×C4⋊C4C22semidirect
259. Q8×C4⋊C4C22semidirect
261. #2349C22semidirect
263. D4×C4⋊C4C22semidirect
264. #2327C22semidirect
265. #2326C22semidirect
271. #2317C22semidirect
273. #2316C22semidirect
276. C4×C4⋊Q8C22semidirect
277. C4×#124C22semidirect
285. #2296C22semidirect
289. C2×#389C22semidirect
322. #536D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34952
C2×#34612
#591202
#591142
#591132
#591082
#591062
#590472
#452872
#452382
#451852
#449892
#440422
#439762
#393772
#393732
#377672
#377662
#377652
#361352
#361342
#356732
#356612
#355302
#355182
#352752
#352572
#352532
#347422
C2×#24232
#342762
#342502
#342492
#341362