Finite Group Databasebeta

← #7686634

Subgroups — #7686634

Order 512.

7904 conjugacy classes of subgroups.

The subgroup lattice has 2029 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3511C211yesmaximal, characteristic, complemented
2C2×#3514C211yesmaximal, characteristic, complemented
3#59839C214yesmaximal, complemented
4#59818C212yesmaximal, complemented
5#59654C211yesmaximal, characteristic, complemented
6#59650C212yesmaximal, complemented
7#59130C212yesmaximal, complemented
8#59129C212yesmaximal, complemented
9#59127C211yesmaximal, characteristic, complemented
10#59051C211yesmaximal, characteristic, complemented
11#44989C212yesmaximal, complemented
12#44886C212yesmaximal, complemented
13#44776C214yesmaximal, complemented
14#44312C214yesmaximal, complemented
15#39858C212yesmaximal, complemented
16#39854C212yesmaximal, complemented
17#39443C214yesmaximal, complemented
18#39433C212yesmaximal, complemented
19#39342C211yesmaximal, characteristic, complemented
20#38920C211yesmaximal, characteristic, complemented
21#36597C211yesmaximal, characteristic, complemented
22#36504C211yesmaximal, characteristic, complemented
23#36493C211yesmaximal, characteristic, complemented
24#36465C212yesmaximal, complemented
25#36273C212yesmaximal, complemented
26#36260C211yesmaximal, characteristic, complemented
27#36124C212yesmaximal, complemented
28#36122C211yesmaximal, characteristic, complemented
29#36087C212yesmaximal, complemented
30#36004C212yesmaximal, complemented
31#34919C212yesmaximal, complemented
32#34889C211yesmaximal, characteristic, complemented
33#34275C212yesmaximal, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35C4×#550C211yesmaximal, characteristic, complemented
36#3514—216no—
37#3511—216no—
38C2×#559C2211yescharacteristic
39C2×#556C2211yescharacteristic
40C2×#556C2211yescharacteristic, complemented
41C2×#555C2212yes—
42C2×#555C2212yescomplemented
43C2×#554C2212yescomplemented
44C2×#553C2214yescomplemented
45C2×#551C2214yes—
46C2×#550C2211yescharacteristic
47C2×#550C2212yescomplemented
48C2×D4×Q8C2211yescharacteristic
49C2×D4×Q8C2212yescomplemented
50C2×#548C2212yes—
51C2×#548C2212yes—
52C2×#548C2212yescomplemented
53C2×#548C2212yescomplemented
54C2×#548C2212yescomplemented
55C2×#547C2211yescharacteristic
56C2×#547C2211yescharacteristic, complemented
57C2×#546C2212yes—
58C2×#546C2212yes—
59C2×#546C2212yes—
60C2×#546C2212yes—
61C2×D42C2211yescharacteristic
62C2×#542C2212yes—
63C2×#542C2214yescomplemented
64C2×#538C2214yes—
65C2×#537C2212yescomplemented
66C2×#535C2212yes—
67C2×#533C2212yescomplemented
68C2×#532C2211yescharacteristic
69C2×#532C2212yes—
70C2×#532C2211yescharacteristic
71C22×C4⋊Q8C2211yescharacteristic, complemented
72C2×#529C2211yescharacteristic
73C2×#529C2212yes—
74C22×#124C2212yes—
75C2×#520C2212yescomplemented
76C2×#518C2212yes—
77C2×C4×#41C2211yescharacteristic
78C2×C4×#41C2211yescharacteristic, complemented
79#2858C2211yescharacteristic
80#2858C2214yescomplemented
81#2858C2212yescomplemented
82#2857C2211yescharacteristic, complemented
83#2856C2212yes—
84#2856C2211yescharacteristic
85#2850C2212yescomplemented
86#2850C2212yescomplemented
87#2723C2214yescomplemented
88#2720C2214yescomplemented
89#2718C2214yescomplemented
90#2714C2214yescomplemented
91#2711C2214yescomplemented
92#2706C2214yescomplemented
93#2696C2214yescomplemented
94#2692C2214yescomplemented
95#2681C2214yescomplemented
96#2680C2214yescomplemented
97#2677C2214yescomplemented
98#2676C2214yescomplemented
99#2676C2214yescomplemented
100#2674C2214yescomplemented
101#2673C2214yescomplemented
102#2673C2214yescomplemented
103#2671C2214yescomplemented
104#2670C2214yes—
105#2669C2214yes—
106#2669C2214yescomplemented
107#2669C2214yescomplemented
108#2632C2214yescomplemented
109#2631C2214yescomplemented
110#2624C2212yescomplemented
111#2615C2212yes—
112#2610C2214yescomplemented
113#2610C2214yescomplemented
114#2598C2214yescomplemented
115#2598C2214yescomplemented
116#2560C2214yescomplemented
117#2559C2212yescomplemented
118#2558C2214yescomplemented
119#2557C2212yescomplemented
120#2555C2214yescomplemented
121#2555C2214yescomplemented
122#2555C2214yescomplemented
123#2554C2214yescomplemented
124#2554C2214yescomplemented
125#2551C2212yescomplemented
126#2550C2211yescharacteristic, complemented
127#2546C2211yescharacteristic, complemented
128#2545C2212yescomplemented
129#2545C2212yescomplemented
130#2544C2211yescharacteristic
131#2544C2212yescomplemented
132#2542C2211yescharacteristic
133#2542C2212yescomplemented
134#2542C2214yescomplemented
135#2541C2212yes—
136#2541C2211yescharacteristic
137#2541C2211yescharacteristic
138#2541C2214yescomplemented
139#2541C2212yescomplemented
140#2540C2212yes—
141#2540C2212yes—
142#2540C2214yescomplemented
143#2540C2214yescomplemented
144#2540C2214yescomplemented
145#2540C2211yescharacteristic, complemented
146#2540C2212yescomplemented
147#2540C2212yescomplemented
148#2540C2214yescomplemented
149#2539C2214yes—
150#2539C2214yes—
151#2538C2211yescharacteristic, complemented
152#2537C2211yescharacteristic
153#2536C2212yescomplemented
154#2536C2212yescomplemented
155#2535C2211yescharacteristic
156#2535C2212yescomplemented
157#2521C2212yescomplemented
158#2519C2214yescomplemented
159#2501C2212yes—
160#2492C2211yescharacteristic, complemented
161#2491C2212yes—
162#2491C2212yescomplemented
163#2491C2212yescomplemented
164#2491C2212yescomplemented
165#2491C2214yescomplemented
166#2490C2211yescharacteristic, complemented
167#2489C2212yescomplemented
168#2487C2212yescomplemented
169#2479C2214yescomplemented
170#2472C2214yescomplemented
171#2472C2214yescomplemented
172#2472C2214yescomplemented
173#2471C2214yescomplemented
174#2467C2214yescomplemented
175#2464C2214yescomplemented
176#2464C2214yescomplemented
177#2464C2212yescomplemented
178#2464C2214yescomplemented
179#2461C2214yescomplemented
180#2461C2214yescomplemented
181#2461C2214yescomplemented
182#2461C2214yescomplemented
183#2461C2214yescomplemented
184#2456C2214yescomplemented
185#2456C2214yescomplemented
186#2455C2214yescomplemented
187#2452C2212yes—
188#2452C2212yescomplemented
189#2452C2212yescomplemented
190#2449C2214yescomplemented
191#2448C2212yescomplemented
192#2440C2212yescomplemented
193#2440C2212yescomplemented
194#2437C2214yescomplemented
195#2436C2212yescomplemented
196#2434C2212yescomplemented
197#2433C2212yes—
198#2433C2212yes—
199#2432C2212yes—
200#2432C2212yescomplemented
201#2431C2212yescomplemented
202#2431C2212yescomplemented
203#2429C2212yescomplemented
204#2428C2212yes—
205#2428C2211yescharacteristic
206#2428C2212yescomplemented
207#2428C2214yescomplemented
208#2427C2211yescharacteristic
209#2426C2212yescomplemented
210#2426C2212yescomplemented
211#2426C2212yescomplemented
212#2424C2214yescomplemented
213#2424C2214yescomplemented
214#2424C2214yescomplemented
215#2424C2214yescomplemented
216#2424C2214yescomplemented
217#2423C2212yescomplemented
218#2416C2212yescomplemented
219#2416C2212yescomplemented
220#2416C2212yescomplemented
221#2414C2212yes—
222#2414C2212yescomplemented
223#2409C2212yescomplemented
224#2409C2212yescomplemented
225#2408C2212yes—
226#2408C2212yes—
227#2407C2212yes—
228#2407C2212yes—
229#2407C2212yescomplemented
230#2407C2212yescomplemented
231#2396C2214yescomplemented
232#2395C2212yescomplemented
233#2392C2214yescomplemented
234#2388C2212yescomplemented
235#2373C2214yescomplemented
236#2367C2212yes—
237#2366C2211yescharacteristic
238#2366C2212yescomplemented
239#2366C2212yescomplemented
240#2365C2211yescharacteristic, complemented
241#2363C2211yescharacteristic
242#2363C2212yes—
243#2363C2212yescomplemented
244#2363C2211yescharacteristic, complemented
245#2363C2212yescomplemented
246#2363C2212yescomplemented
247#2363C2212yescomplemented
248#2363C2212yescomplemented
249#2362C2212yescomplemented
250#2361C2212yes—
251#2361C2212yes—
252#2361C2212yescomplemented
253#2361C2212yescomplemented
254#2361C2212yescomplemented
255#2358C2214yescomplemented
256#2358C2214yescomplemented
257#2358C2214yescomplemented
258#2358C2214yescomplemented
259#2358C2214yescomplemented
260#2356C2212yescomplemented
261#2355C2211yescharacteristic, complemented
262#2354C2211yescharacteristic
263#2354C2212yescomplemented
264#2354C2211yescharacteristic, complemented
265#2354C2212yescomplemented
266Q8×C4⋊C4C2211yescharacteristic, complemented
267#2347C2212yescomplemented
268#2341C2211yescharacteristic
269#2341C2211yescharacteristic, complemented
270#2328C2214yescomplemented
271#2326C2214yescomplemented
272#2317C2212yescomplemented
273C4×C4⋊Q8C2211yescharacteristic, complemented
274C4×#127C2211yescharacteristic
275C4×#127C2212yescomplemented
276C4×#127C2214yescomplemented
277C4×#126C2214yescomplemented
278C4×#124C2212yes—
279C4×#124C2211yescharacteristic, complemented
280C4×#124C2214yescomplemented
281C4×#124C2212yescomplemented
282C4×C22⋊Q8C2212yescomplemented
283C4×C22⋊Q8C2211yescharacteristic, complemented
284C4×C22⋊Q8C2212yescomplemented
285C4×#121C2211yescharacteristic
286C4×#121C2212yescomplemented
287C4×#121C2211yescharacteristic, complemented
288C4×#121C2211yescharacteristic, complemented
289C4×#121C2212yescomplemented
290C4×#121C2212yescomplemented
291C4×#121C2212yescomplemented
292#2297C2212yescomplemented
293#2293C2214yescomplemented
294C2×#390C2212yes—
295C42×Q8C2212yescomplemented
296C42×Q8C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic, complemented
299C42×D4C2212yescomplemented
300C4×#117C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2312yes—
305C22×#41C2312yes—
306C22×#41C2312yes—
307C23×Q8C2312yes—
308C23×Q8C2312yes—
309C23×D4C2312yes—
310C23×D4C2312yes—
311#559—28no—
312#556—28no—
313#556D4116yescomplemented
314#555—216no—
315#555—216no—
316#554—216no—
317#553—232no—
318#551—232no—
319#550—28no—
320#550—48no—
321D4×Q8—28no—
322D4×Q8—48no—
323#548—216no—
324#548—216no—
325#548—216no—
326#548—48no—
327#548—48no—
328#547—28no—
329#547—28no—
330#546—216no—
331#546—216no—
332#546—48no—
333#546—48no—
334D42—28no—
335#542—232no—
336#542—216no—
337#538—232no—
338#537—216no—
339#535—216no—
340#533—216no—
341#532—28no—
342#532—216no—
343#532—28no—
344C2×C4⋊Q8—28no—
345C2×C4⋊Q8C2311yescharacteristic
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2312yes—
349C2×C4⋊Q8C2311yescharacteristic
350C2×C4⋊Q8C2312yes—
351C2×C4⋊Q8C2314yes—
352C2×C4⋊Q8C2312yes—
353C2×C4⋊Q8C2311yescharacteristic
354C2×#127C2311yescharacteristic
355C2×#127C2314yes—
356C2×#127C2312yes—
357C2×#127C2311yescharacteristic
358C2×#127C2311yescharacteristic
359C2×#127C2312yes—
360C2×#127C2314yes—
361C2×#127C2312yes—
362#529—216no—
363#529—28no—
364C2×#126C2314yes—
365C2×#126C2312yes—
366C2×#126C2314yes—
367C2×#126C2314yes—
368C2×#125C2311yescharacteristic
369C2×#125C2314yes—
370C2×#124—216no—
371C2×#124C2314yes—
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2311yescharacteristic
376C2×#124C2314yes—
377C2×#124C2314yes—
378C2×#124C2311yescharacteristic
379C2×#124C2312yes—
380C2×#124C2314yes—
381C2×#124C2314yes—
382C2×#124C2312yes—
383C2×#124C2312yes—
384C2×#124C2314yes—
385C2×#124C2312yes—
386C2×#124C2314yes—
387C2×#124C2314yes—
388C2×#124C2312yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×#123C2312yes—
392C2×#123C2314yes—
393C2×#123C2314yes—
394C2×#123C2314yes—
395C2×#123C2314yes—
396C2×#123C2314yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2312yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2311yescharacteristic
424C2×#121C2312yes—
425C2×#121C2311yescharacteristic
426C2×#121C2311yescharacteristic
427C2×#121C2312yes—
428C2×#121C2314yes—
429C2×#121C2314yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2314yes—
434C2×#121C2314yes—
435C2×#121C2311yescharacteristic
436C2×#121C2314yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2314yes—
440C2×#121C2311yescharacteristic
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2314yes—
446C2×#121C2314yes—
447C2×#121C2312yes—
448C2×#121C2314yes—
449C2×#121C2314yes—
450C2×#121C2314yes—
451C2×#121C2314yes—
452C2×#121C2312yes—
453C2×#121C2311yescharacteristic
454C2×#120C2314yes—
455C2×#120C2314yes—
456C2×#120C2314yes—
457C2×#120C2314yes—
458C2×#120C2314yes—
459C2×#120C2314yes—
460C2×#120C2314yes—
461#520—216no—
462#518—216no—
463C4×#41—28no—
464C4×#41—28no—
465C2×C4×Q8C2312yes—
466C2×C4×Q8C2314yes—
467C2×C4×Q8C2311yescharacteristic
468C2×C4×Q8C2311yescharacteristic
469C2×C4×Q8C2311yescharacteristic
470C2×C4×Q8C2312yes—
471C2×C4×Q8C2311yescharacteristic
472C2×C4×Q8C2312yes—
473C2×C4×Q8C2311yescharacteristic
474C2×C4×Q8C2311yescharacteristic
475C2×C4×Q8C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2314yes—
481C2×C4×D4C2314yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2314yes—
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2312yes—
487C2×C4×D4C2314yes—
488C2×C4×D4C2314yes—
489C2×C4×D4C2314yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2312yes—
495C2×C4×D4C2311yescharacteristic
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2311yescharacteristic
499C2×C4×D4C2312yes—
500C2×C4×D4C2312yes—
501C2×C4×D4C2312yes—
502C2×C4×D4C2311yescharacteristic
503C2×C4×D4C2311yescharacteristic
504C2×C4×D4C2312yes—
505C2×C4×D4C2314yes—
506C2×C4×D4C2314yes—
507C2×C4×D4C2314yes—
508C2×C4×D4C2314yes—
509C2×C4×D4C2312yes—
510C2×C4×D4C2312yes—
511C2×C4×D4C2312yes—
512C2×C4×D4C2312yes—
513C2×C4×D4C2311yescharacteristic
514C2×C4×D4C2314yes—
515C2×C4×D4C2311yescharacteristic
516C2×#117C2312yes—
517C2×#117C2312yes—
518C2×#117C2314yes—
519C2×#117C2314yes—
520C2×#117C2311yescharacteristic
521C2×#117C2311yescharacteristic
522C2×#117C2312yes—
523C2×#117C2312yes—
524C2×#117C2312yes—
525C2×#117C2312yes—
526C22×C4⋊C4C2312yes—
527C22×C4⋊C4C2312yes—
528C22×C4⋊C4C2312yes—
529C22×C4⋊C4C2312yes—
530C22×C22⋊C4C2314yes—
531C22×C22⋊C4C2314yes—
532C22×C22⋊C4C2314yes—
533C22×C22⋊C4C2314yes—
534C22×C22⋊C4C2314yes—
535C22×C42C2312yes—
536C22×C42C2312yes—
537C22×C42C2311yescharacteristic
538C22×C42C2311yescharacteristic
539C22×C42C2312yes—
540#400C2312yes—
541#400C2314yes—
542#399C2314yes—
543#399C2314yes—
544#399C2314yes—
545#399C2312yes—
546#399C2314yes—
547#399C2314yes—
548#399C2314yes—
549#399C2314yes—
550#398C2314yes—
551#398C2312yes—
552#398C2314yes—
553#398C2314yes—
554#398C2314yes—
555#397C2314yes—
556#397C2312yes—
557#397C2312yes—
558#397C2312yes—
559#397C2314yes—
560#396C2314yes—
561#396C2314yes—
562#396C2314yes—
563#396C2314yes—
564#396C2314yes—
565#396C2314yes—
566#396C2314yes—
567#395C2314yes—
568#395C2314yes—
569#395C2314yes—
570#395C2314yes—
571#395C2312yes—
572#394C2314yes—
573#394C2312yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2312yes—
582#394C2312yes—
583#394C2314yes—
584#394C2312yes—
585#394C2312yes—
586#394C2314yes—
587#394C2314yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#394C2314yes—
592#393C2314yes—
593#393C2314yes—
594#393C2314yes—
595#393C2314yes—
596#393C2314yes—
597#393C2312yes—
598#392C2314yes—
599#392C2314yes—
600#392C2314yes—
601#392C2314yes—
602#392C2314yes—
603#392C2314yes—
604#392C2314yes—
605#392C2314yes—
606#392C2314yes—
607#392C2312yes—
608#392C2312yes—
609#392C2312yes—
610#392C2314yes—
611#392C2314yes—
612#392C2314yes—
613#392C2314yes—
614#392C2314yes—
615#392C2314yes—
616#392C2314yes—
617#392C2314yes—
618#391C2312yes—
619#391C2312yes—
620#391C2312yes—
621#391C2311yescharacteristic
622#391C2312yes—
623#391C2312yes—
624#391C2312yes—
625#391C2312yes—
626#391C2311yescharacteristic
627#390C2314yes—
628#390C2311yescharacteristic
629#390C2311yescharacteristic
630#390C2312yes—
631#390C2312yes—
632#390C2312yes—
633#390C2312yes—
634#390C2312yes—
635#390C2312yes—
636#390C2314yes—
637#390C2312yes—
638#390C2312yes—
639#390C2312yes—
640#390C2314yes—
641#390C2314yes—
642#390C2314yes—
643#390C2314yes—
644#390C2312yes—
645#390C2311yescharacteristic
646#390C2312yes—
647#390C2311yescharacteristic
648#390C2312yes—
649#390C2311yescharacteristic
650#390C2312yes—
651#390C2312yes—
652#390C2314yes—
653#390C2312yes—
654#390C2312yes—
655#390C2312yes—
656#390C2312yes—
657#390C2312yes—
658#390C2312yes—
659#390C2314yes—
660#390C2314yes—
661#390C2314yes—
662#390C2314yes—
663#390C2314yes—
664#390C2314yes—
665#390C2314yes—
666#390C2312yes—
667#390C2312yes—
668#390C2312yes—
669#390C2312yes—
670#390C2311yescharacteristic
671#390C2312yes—
672#390C2314yes—
673#389C2312yes—
674#389C2312yes—
675#389C2311yescharacteristic
676#389C2312yes—
677#389C2312yes—
678#389C2312yes—
679#389C2312yes—
680#389C2312yes—
681#389C2311yescharacteristic
682#389C2312yes—
683#389C2312yes—
684#389C2312yes—
685#389C2311yescharacteristic
686#389C2311yescharacteristic
687#389C2314yes—
688#389C2312yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2312yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2312yes—
703#388C2314yes—
704#388C2314yes—
705#388C2312yes—
706#388C2314yes—
707#388C2312yes—
708#388C2312yes—
709#388C2312yes—
710#388C2312yes—
711#388C2312yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2312yes—
722#388C2312yes—
723#388C2312yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2312yes—
730#386C2314yes—
731#386C2312yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2312yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2312yes—
749#386C2314yes—
750#386C2312yes—
751#386C2312yes—
752#386C2312yes—
753#386C2312yes—
754#386C2312yes—
755#386C2312yes—
756#386C2312yes—
757#386C2312yes—
758#386C2314yes—
759#386C2312yes—
760#386C2312yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2312yes—
775#384C2311yescharacteristic
776#384C2314yes—
777#384C2312yes—
778#384C2311yescharacteristic
779#384C2312yes—
780#383C2314yes—
781#382C2314yes—
782#382C2312yes—
783#382C2311yescharacteristic
784#380C2311yescharacteristic
785#380C2312yes—
786#380C2311yescharacteristic
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2312yes—
792#380C2312yes—
793#380C2311yescharacteristic
794#380C2312yes—
795#380C2311yescharacteristic
796#380C2312yes—
797#379C2314yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2314yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2314yes—
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2314yes—
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2314yes—
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2311yescharacteristic
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2311yescharacteristic
829C4×C22⋊C4C2311yescharacteristic
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2311yescharacteristic
847C4×C22⋊C4C2311yescharacteristic
848C4×C22⋊C4C2312yes—
849#376C2314yes—
850C43C2314yes—
851C43C2311yescharacteristic
852C43C2312yes—
853C25C2414yes—
854C2×#41—24no—
855C2×#41—24no—
856C2×#41—28no—
857C2×#41—28no—
858C2×#41—28no—
859C2×#41—24no—
860C2×#41—28no—
861C2×#41—28no—
862C2×#41—24no—
863C2×#41—44no—
864C2×#41—42no—
865C2×#41—42no—
866C2×#41—44no—
867C2×#41—44no—
868C2×#41—44no—
869C2×#41—44no—
870C2×#41—44no—
871C2×#41—44no—
872C22×Q8—28no—
873C22×Q8—28no—
874C22×Q8—44no—
875C22×Q8—44no—
876C22×Q8—44no—
877C22×Q8—44no—
878C22×Q8C2411yescharacteristic
879C22×Q8C2412yes—
880C22×Q8C2412yes—
881C22×Q8C2411yescharacteristic
882C22×Q8C2412yes—
883C22×Q8C2414yes—
884C22×Q8C2414yes—
885C22×D4—28no—
886C22×D4—28no—
887C22×D4—28no—
888C22×D4—44no—
889C22×D4—44no—
890C22×D4—44no—
891C22×D4C2412yes—
892C22×D4C2411yescharacteristic
893C22×D4C2412yes—
894C22×D4C2411yescharacteristic
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2411yescharacteristic
898C22×D4C2412yes—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2414yes—
902C22×D4C2412yes—
903C22×D4C2412yes—
904C22×D4C2411yescharacteristic
905C22×D4C2411yescharacteristic
906C22×D4C2412yes—
907C22×D4C2414yes—
908C22×D4C2412yes—
909C22×D4C2412yes—
910C22×D4C2414yes—
911C22×D4C2414yes—
912C22×D4C2414yes—
913C22×D4C2412yes—
914C22×D4C2412yes—
915C22×D4C2414yes—
916C22×D4C2414yes—
917C22×D4C2414yes—
918C22×D4C2414yes—
919C22×D4C2414yes—
920C22×D4C2414yes—
921C22×D4C2412yes—
922C23×C4C2412yes—
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C23×C4C2412yes—
926C23×C4C2411yescharacteristic
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2411yescharacteristic
930C23×C4C2412yes—
931C23×C4C2412yes—
932C23×C4C2412yes—
933C23×C4C2411yescharacteristic
934C23×C4C2414yes—
935C23×C4C2412yes—
936C23×C4C2414yes—
937C23×C4C2412yes—
938C23×C4C2412yes—
939C23×C4C2414yes—
940C23×C4C2414yes—
941C23×C4C2414yes—
942C23×C4C2414yes—
943C23×C4C2411yescharacteristic
944C4⋊Q8—28no—
945C4⋊Q8—28no—
946C4⋊Q8—28no—
947C4⋊Q8—24no—
948C4⋊Q8—28no—
949C4⋊Q8—24no—
950C4⋊Q8—48no—
951C4⋊Q8—44no—
952C4⋊Q8C2×D418yes—
953#127—24no—
954#127—216no—
955#127—28no—
956#127—24no—
957#127—24no—
958#127—44no—
959#127—44no—
960#127—48no—
961#126—216no—
962#126—216no—
963#126—28no—
964#126C2×D4132yes—
965#125—24no—
966#125—216no—
967#124—28no—
968#124—28no—
969#124—24no—
970#124—216no—
971#124—216no—
972#124—28no—
973#124—216no—
974#124—216no—
975#124—28no—
976#124—28no—
977#124—216no—
978#124—216no—
979#124—28no—
980#124—24no—
981#124—48no—
982#124—48no—
983#124—44no—
984#124C2×D4116yes—
985#123—216no—
986#123—216no—
987#123—216no—
988#123—28no—
989#123—216no—
990#123—216no—
991#123—48no—
992#123—48no—
993C22⋊Q8—28no—
994C22⋊Q8—28no—
995C22⋊Q8—28no—
996C22⋊Q8—24no—
997C22⋊Q8—216no—
998C22⋊Q8—28no—
999C22⋊Q8—216no—
1000C22⋊Q8—216no—
1001C22⋊Q8—216no—
1002C22⋊Q8—28no—
1003C22⋊Q8—24no—
1004C22⋊Q8—216no—
1005C22⋊Q8—48no—
1006C22⋊Q8—48no—
1007C22⋊Q8—48no—
1008C22⋊Q8—48no—
1009C22⋊Q8—44no—
1010C22⋊Q8—44no—
1011C22⋊Q8—44no—
1012C22⋊Q8C2×D4116yes—
1013#121—24no—
1014#121—24no—
1015#121—28no—
1016#121—28no—
1017#121—28no—
1018#121—28no—
1019#121—28no—
1020#121—28no—
1021#121—28no—
1022#121—28no—
1023#121—24no—
1024#121—28no—
1025#121—216no—
1026#121—216no—
1027#121—28no—
1028#121—24no—
1029#121—28no—
1030#121—24no—
1031#121—216no—
1032#121—28no—
1033#121—216no—
1034#121—216no—
1035#121—216no—
1036#121—28no—
1037#121—44no—
1038#121—48no—
1039#121—44no—
1040#121—48no—
1041#121—48no—
1042#121—48no—
1043#121—48no—
1044#121—44no—
1045#121—44no—
1046#121—48no—
1047#121—44no—
1048#121—44no—
1049#121#4118yescomplemented
1050#120—216no—
1051#120—216no—
1052#120—216no—
1053#120—216no—
1054#120—48no—
1055#120—48no—
1056#120—48no—
1057C4×Q8—24no—
1058C4×Q8—24no—
1059C4×Q8—24no—
1060C4×Q8—28no—
1061C4×Q8—216no—
1062C4×Q8—24no—
1063C4×Q8—28no—
1064C4×Q8—28no—
1065C4×Q8—42no—
1066C4×Q8C2×D418yes—
1067C4×Q8C2×D4116yes—
1068C4×D4—28no—
1069C4×D4—28no—
1070C4×D4—24no—
1071C4×D4—24no—
1072C4×D4—28no—
1073C4×D4—28no—
1074C4×D4—24no—
1075C4×D4—28no—
1076C4×D4—28no—
1077C4×D4—28no—
1078C4×D4—28no—
1079C4×D4—24no—
1080C4×D4—216no—
1081C4×D4—216no—
1082C4×D4—216no—
1083C4×D4—28no—
1084C4×D4—24no—
1085C4×D4—28no—
1086C4×D4—24no—
1087C4×D4—28no—
1088C4×D4—216no—
1089C4×D4—216no—
1090C4×D4—216no—
1091C4×D4—28no—
1092C4×D4—24no—
1093C4×D4—24no—
1094C4×D4—28no—
1095C4×D4—24no—
1096C4×D4—48no—
1097C4×D4—48no—
1098C4×D4—48no—
1099C4×D4—48no—
1100C4×D4—44no—
1101C4×D4—44no—
1102C4×D4—44no—
1103C4×D4—44no—
1104C4×D4—44no—
1105C4×D4—48no—
1106C4×D4—42no—
1107C4×D4C2×D418yes—
1108#117—28no—
1109#117—24no—
1110#117—28no—
1111#117—28no—
1112#117—24no—
1113#117—28no—
1114#117—28no—
1115#117—216no—
1116#117—216no—
1117#117C2×D4116yes—
1118C2×C4⋊C4—28no—
1119C2×C4⋊C4—28no—
1120C2×C4⋊C4—28no—
1121C2×C4⋊C4—28no—
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2411yescharacteristic
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2411yescharacteristic
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2411yescharacteristic
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2414yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2414yes—
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2412yes—
1168C2×C4⋊C4C2411yescharacteristic
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2411yescharacteristic
1171C2×C4⋊C4C2414yes—
1172C2×C4⋊C4C2411yescharacteristic
1173C2×C4⋊C4C2411yescharacteristic
1174C2×C22⋊C4—216no—
1175C2×C22⋊C4—216no—
1176C2×C22⋊C4—216no—
1177C2×C22⋊C4—48no—
1178C2×C22⋊C4—48no—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2411yescharacteristic
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2411yescharacteristic
1215C2×C22⋊C4C2411yescharacteristic
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2411yescharacteristic
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2411yescharacteristic
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2411yescharacteristic
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2412yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2412yes—
1251C2×C22⋊C4C2412yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2414yes—
1254C2×C22⋊C4C2412yes—
1255C2×C22⋊C4C2412yes—
1256C2×C42—28no—
1257C2×C42—24no—
1258C2×C42—24no—
1259C2×C42—28no—
1260C2×C42—44no—
1261C2×C42C2412yes—
1262C2×C42C2411yescharacteristic
1263C2×C42C2412yes—
1264C2×C42C2411yescharacteristic
1265C2×C42C2414yes—
1266C2×C42C2411yescharacteristic
1267C2×C42C2412yes—
1268C2×C42C2414yes—
1269C2×C42C2412yes—
1270C2×C42C2411yescharacteristic
1271C2×C42C2411yescharacteristic
1272C2×C42C2414yes—
1273C2×C42C2412yes—
1274C2×C42C2414yes—
1275C2×C42C2412yes—
1276C2×C42C2411yescharacteristic
1277C2×C42C2412yes—
1278C2×C42C2412yes—
1279C2×C42C2411yescharacteristic
1280C2×C42C2411yescharacteristic
1281C2×C42C2411yescharacteristic
1282C2×C42C2414yes—
1283C2×C42C2412yes—
1284C2×C42C2411yescharacteristic
1285C2×C42C2412yes—
1286C2×C42C2412yes—
1287C2×C42C2412yes—
1288C2×C42C2411yescharacteristic
1289C2×C42C2412yes—
1290C2×C42C2414yes—
1291C2×C42C2411yescharacteristic
1292C2×C42C2412yes—
1293C2×C42C2411yescharacteristic
1294#95C2412yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2411yescharacteristic
1299#95C2411yescharacteristic
1300#95C2412yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2412yes—
1305#95C2411yescharacteristic
1306#95C2411yescharacteristic
1307#95C2412yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2411yescharacteristic
1312#95C2412yes—
1313#95C2412yes—
1314#95C2411yescharacteristic
1315#95C2414yes—
1316#95C2414yes—
1317#95C2412yes—
1318#95C2412yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2412yes—
1323#95C2414yes—
1324#95C2412yes—
1325#95C2414yes—
1326#95C2412yes—
1327#95C2414yes—
1328#95C2412yes—
1329#95C2414yes—
1330#95C2414yes—
1331#95C2412yes—
1332#95C2414yes—
1333#95C2412yes—
1334C24—28no—
1335C24—28no—
1336C24—44no—
1337C24—44no—
1338C24—44no—
1339C24—44no—
1340C24—44no—
1341C24C2514yes—
1342C24C2512yes—
1343C24C2512yes—
1344C24C2511yescharacteristic
1345C24C2512yes—
1346C24C2512yes—
1347C24C2511yescharacteristic
1348#41—432no—
1349#41—416no—
1350#41—416no—
1351#41—816no—
1352#41—816no—
1353#41—816no—
1354C2×Q8—24no—
1355C2×Q8—22no—
1356C2×Q8—24no—
1357C2×Q8—28no—
1358C2×Q8—28no—
1359C2×Q8—22no—
1360C2×Q8—24no—
1361C2×Q8—24no—
1362C2×Q8—24no—
1363C2×Q8—24no—
1364C2×Q8—22no—
1365C2×Q8—22no—
1366C2×Q8—24no—
1367C2×Q8—22no—
1368C2×Q8—42no—
1369C2×Q8—44no—
1370C2×Q8—44no—
1371C2×Q8—44no—
1372C2×Q8—44no—
1373C2×Q8—816no—
1374C2×Q8—816no—
1375C2×Q8C22×D414yes—
1376C2×Q8C22×D418yes—
1377C2×D4—24no—
1378C2×D4—24no—
1379C2×D4—24no—
1380C2×D4—24no—
1381C2×D4—22no—
1382C2×D4—24no—
1383C2×D4—24no—
1384C2×D4—24no—
1385C2×D4—28no—
1386C2×D4—24no—
1387C2×D4—24no—
1388C2×D4—28no—
1389C2×D4—28no—
1390C2×D4—28no—
1391C2×D4—28no—
1392C2×D4—24no—
1393C2×D4—22no—
1394C2×D4—24no—
1395C2×D4—28no—
1396C2×D4—24no—
1397C2×D4—24no—
1398C2×D4—22no—
1399C2×D4—24no—
1400C2×D4—24no—
1401C2×D4—22no—
1402C2×D4—24no—
1403C2×D4—28no—
1404C2×D4—28no—
1405C2×D4—24no—
1406C2×D4—24no—
1407C2×D4—22no—
1408C2×D4—28no—
1409C2×D4—24no—
1410C2×D4—22no—
1411C2×D4—22no—
1412C2×D4—24no—
1413C2×D4—22no—
1414C2×D4—24no—
1415C2×D4—22no—
1416C2×D4—24no—
1417C2×D4—22no—
1418C2×D4—28no—
1419C2×D4—24no—
1420C2×D4—22no—
1421C2×D4—24no—
1422C2×D4—24no—
1423C2×D4—22no—
1424C2×D4—432no—
1425C2×D4—42no—
1426C2×D4—42no—
1427C2×D4—41no—
1428C2×D4—44no—
1429C2×D4—42no—
1430C2×D4—42no—
1431C2×D4—42no—
1432C2×D4—42no—
1433C2×D4—42no—
1434C2×D4—42no—
1435C2×D4—42no—
1436C2×D4—42no—
1437C2×D4—44no—
1438C2×D4—44no—
1439C2×D4—44no—
1440C2×D4—42no—
1441C2×D4—42no—
1442C2×D4—44no—
1443C2×D4—44no—
1444C2×D4—44no—
1445C2×D4—44no—
1446C2×D4—44no—
1447C2×D4—44no—
1448C2×D4—44no—
1449C2×D4—44no—
1450C2×D4—44no—
1451C2×D4—44no—
1452C2×D4—42no—
1453C2×D4—42no—
1454C2×D4—44no—
1455C2×D4—42no—
1456C2×D4—44no—
1457C2×D4—42no—
1458C2×D4—44no—
1459C2×D4—42no—
1460C2×D4—42no—
1461C2×D4—42no—
1462C2×D4—44no—
1463C2×D4—44no—
1464C2×D4—44no—
1465C2×D4—44no—
1466C2×D4—44no—
1467C2×D4—44no—
1468C2×D4—816no—
1469C2×D4C22×D414yes—
1470C2×D4C2×#4114yes—
1471C2×D4C2×#4118yes—
1472C22×C4—22no—
1473C22×C4—24no—
1474C22×C4—24no—
1475C22×C4—22no—
1476C22×C4—24no—
1477C22×C4—28no—
1478C22×C4—24no—
1479C22×C4—22no—
1480C22×C4—24no—
1481C22×C4—22no—
1482C22×C4—24no—
1483C22×C4—22no—
1484C22×C4—24no—
1485C22×C4—22no—
1486C22×C4—24no—
1487C22×C4—24no—
1488C22×C4—24no—
1489C22×C4—22no—
1490C22×C4—24no—
1491C22×C4—22no—
1492C22×C4—24no—
1493C22×C4—24no—
1494C22×C4—22no—
1495C22×C4—24no—
1496C22×C4—22no—
1497C22×C4—24no—
1498C22×C4—22no—
1499C22×C4—24no—
1500C22×C4—22no—
1501C22×C4—22no—
1502C22×C4—24no—
1503C22×C4—24no—
1504C22×C4—22no—
1505C22×C4—28no—
1506C22×C4—28no—
1507C22×C4—28no—
1508C22×C4—28no—
1509C22×C4—28no—
1510C22×C4—24no—
1511C22×C4—24no—
1512C22×C4—42no—
1513C22×C4—41no—
1514C22×C4—42no—
1515C22×C4—42no—
1516C22×C4—42no—
1517C22×C4—42no—
1518C22×C4—44no—
1519C22×C4—44no—
1520C22×C4—44no—
1521C22×C4—44no—
1522C22×C4—44no—
1523C22×C4—44no—
1524C22×C4—44no—
1525C22×C4—44no—
1526C22×C4—44no—
1527C22×C4—44no—
1528C22×C4—42no—
1529C22×C4—44no—
1530C22×C4—41no—
1531C22×C4—42no—
1532C22×C4—42no—
1533C22×C4—42no—
1534C22×C4—44no—
1535C22×C4—41no—
1536C22×C4C22×D418yes—
1537C22×C4C2×#4114yes—
1538C22×C4C2512yes—
1539C22×C4C2511yescharacteristic
1540C22×C4C2511yescharacteristic
1541C22×C4C2511yescharacteristic
1542C22×C4C2514yes—
1543C22×C4C2512yes—
1544C22×C4C2512yes—
1545C22×C4C2511yescharacteristic
1546C22×C4C2512yes—
1547C22×C4C2511yescharacteristic
1548C22×C4C2511yescharacteristic
1549C22×C4C2512yes—
1550C22×C4C2512yes—
1551C22×C4C2512yes—
1552C22×C4C2514yes—
1553C22×C4C2512yes—
1554C22×C4C2512yes—
1555C22×C4C2511yescharacteristic
1556C22×C4C2512yes—
1557C22×C4C2514yes—
1558C22×C4C2512yes—
1559C22×C4C2511yescharacteristic
1560C22×C4C2512yes—
1561C22×C4C2511yescharacteristic
1562C22×C4C2511yescharacteristic
1563C22×C4C2511yescharacteristic
1564C22×C4C2511yescharacteristic
1565C22×C4C2511yescharacteristic
1566C4⋊C4—22no—
1567C4⋊C4—24no—
1568C4⋊C4—28no—
1569C4⋊C4—28no—
1570C4⋊C4—28no—
1571C4⋊C4—28no—
1572C4⋊C4—24no—
1573C4⋊C4—24no—
1574C4⋊C4—24no—
1575C4⋊C4—24no—
1576C4⋊C4—24no—
1577C4⋊C4—22no—
1578C4⋊C4—24no—
1579C4⋊C4—24no—
1580C4⋊C4—28no—
1581C4⋊C4—22no—
1582C4⋊C4—22no—
1583C4⋊C4—28no—
1584C4⋊C4—24no—
1585C4⋊C4—24no—
1586C4⋊C4—22no—
1587C4⋊C4—24no—
1588C4⋊C4—22no—
1589C4⋊C4—22no—
1590C4⋊C4—24no—
1591C4⋊C4—28no—
1592C4⋊C4—28no—
1593C4⋊C4—24no—
1594C4⋊C4—28no—
1595C4⋊C4—24no—
1596C4⋊C4—22no—
1597C4⋊C4—24no—
1598C4⋊C4—22no—
1599C4⋊C4—42no—
1600C4⋊C4—42no—
1601C4⋊C4—44no—
1602C4⋊C4—44no—
1603C4⋊C4—42no—
1604C4⋊C4—44no—
1605C4⋊C4—42no—
1606C4⋊C4—42no—
1607C4⋊C4—42no—
1608C4⋊C4—44no—
1609C4⋊C4—44no—
1610C4⋊C4C22×D418yes—
1611C4⋊C4C22×D418yes—
1612C4⋊C4C22×D414yes—
1613C4⋊C4C22×D418yes—
1614C4⋊C4C22×D414yes—
1615C4⋊C4C22×D4116yes—
1616C4⋊C4C2×#4114yes—
1617C4⋊C4H(5,𝔽2)14yes—
1618C22⋊C4—24no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—24no—
1622C22⋊C4—22no—
1623C22⋊C4—28no—
1624C22⋊C4—24no—
1625C22⋊C4—28no—
1626C22⋊C4—28no—
1627C22⋊C4—28no—
1628C22⋊C4—28no—
1629C22⋊C4—28no—
1630C22⋊C4—24no—
1631C22⋊C4—24no—
1632C22⋊C4—24no—
1633C22⋊C4—28no—
1634C22⋊C4—24no—
1635C22⋊C4—24no—
1636C22⋊C4—28no—
1637C22⋊C4—28no—
1638C22⋊C4—28no—
1639C22⋊C4—28no—
1640C22⋊C4—28no—
1641C22⋊C4—24no—
1642C22⋊C4—24no—
1643C22⋊C4—24no—
1644C22⋊C4—28no—
1645C22⋊C4—22no—
1646C22⋊C4—24no—
1647C22⋊C4—28no—
1648C22⋊C4—28no—
1649C22⋊C4—24no—
1650C22⋊C4—28no—
1651C22⋊C4—28no—
1652C22⋊C4—28no—
1653C22⋊C4—22no—
1654C22⋊C4—24no—
1655C22⋊C4—24no—
1656C22⋊C4—24no—
1657C22⋊C4—22no—
1658C22⋊C4—24no—
1659C22⋊C4—24no—
1660C22⋊C4—24no—
1661C22⋊C4—28no—
1662C22⋊C4—24no—
1663C22⋊C4—24no—
1664C22⋊C4—28no—
1665C22⋊C4—22no—
1666C22⋊C4—42no—
1667C22⋊C4—44no—
1668C22⋊C4—44no—
1669C22⋊C4—44no—
1670C22⋊C4—42no—
1671C22⋊C4—42no—
1672C22⋊C4—42no—
1673C22⋊C4—42no—
1674C22⋊C4—42no—
1675C22⋊C4—41no—
1676C22⋊C4—42no—
1677C22⋊C4—44no—
1678C22⋊C4—42no—
1679C22⋊C4—42no—
1680C22⋊C4—42no—
1681C22⋊C4—42no—
1682C22⋊C4—42no—
1683C22⋊C4—44no—
1684C22⋊C4—44no—
1685C22⋊C4—42no—
1686C22⋊C4—44no—
1687C22⋊C4—44no—
1688C22⋊C4—44no—
1689C22⋊C4—44no—
1690C22⋊C4—44no—
1691C22⋊C4C22×D4116yes—
1692C22⋊C4C22×D4116yes—
1693C22⋊C4C22×D418yes—
1694C22⋊C4C2×#4118yes—
1695C42—22no—
1696C42—22no—
1697C42—24no—
1698C42—22no—
1699C42—24no—
1700C42—22no—
1701C42—22no—
1702C42—24no—
1703C42—22no—
1704C42—24no—
1705C42—28no—
1706C42—24no—
1707C42—28no—
1708C42—24no—
1709C42—22no—
1710C42—22no—
1711C42—28no—
1712C42—28no—
1713C42—24no—
1714C42—22no—
1715C42—24no—
1716C42—42no—
1717C42—42no—
1718C42—42no—
1719C42—41no—
1720C42—42no—
1721C42—41no—
1722C42—44no—
1723C42—42no—
1724C42C22×D414yes—
1725C42C22×D418yes—
1726C42C22×D4116yes—
1727C42H(5,𝔽2)14yes—
1728C23—22no—
1729C23—21no—
1730C23—22no—
1731C23—21no—
1732C23—22no—
1733C23—22no—
1734C23—21no—
1735C23—22no—
1736C23—22no—
1737C23—22no—
1738C23—22no—
1739C23—21no—
1740C23—22no—
1741C23—21no—
1742C23—22no—
1743C23—21no—
1744C23—22no—
1745C23—22no—
1746C23—22no—
1747C23—22no—
1748C23—24no—
1749C23—21no—
1750C23—24no—
1751C23—21no—
1752C23—22no—
1753C23—22no—
1754C23—22no—
1755C23—24no—
1756C23—21no—
1757C23—22no—
1758C23—24no—
1759C23—22no—
1760C23—22no—
1761C23—21no—
1762C23—21no—
1763C23—24no—
1764C23—22no—
1765C23—21no—
1766C23—22no—
1767C23—22no—
1768C23—24no—
1769C23—22no—
1770C23—22no—
1771C23—22no—
1772C23—21no—
1773C23—24no—
1774C23—416no—
1775C23—88no—
1776C23—88no—
1777C23—88no—
1778C23—88no—
1779C23—164no—
1780C23—164no—
1781C23C23×D414yes—
1782C23C22×#4114yes—
1783C23C22×#4112yes—
1784C23C2611yescharacteristic
1785Q8—28no—
1786Q8—216no—
1787Q8—48no—
1788Q8—44no—
1789Q8—48no—
1790Q8—88no—
1791Q8—88no—
1792D4—28no—
1793D4—28no—
1794D4—48no—
1795D4—48no—
1796D4—44no—
1797D4—48no—
1798D4—416no—
1799D4—48no—
1800D4—48no—
1801D4—48no—
1802D4—48no—
1803D4—48no—
1804D4—48no—
1805D4—44no—
1806D4—48no—
1807D4—44no—
1808D4—84no—
1809D4—88no—
1810D4—84no—
1811D4—84no—
1812D4—88no—
1813D4—88no—
1814D4—88no—
1815D4—84no—
1816D4—84no—
1817D4—88no—
1818D4—88no—
1819D4—88no—
1820D4—88no—
1821D4—164no—
1822D4—164no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—24no—
1830C2×C4—24no—
1831C2×C4—21no—
1832C2×C4—22no—
1833C2×C4—21no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—21no—
1838C2×C4—22no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—22no—
1842C2×C4—21no—
1843C2×C4—22no—
1844C2×C4—21no—
1845C2×C4—216no—
1846C2×C4—28no—
1847C2×C4—21no—
1848C2×C4—21no—
1849C2×C4—21no—
1850C2×C4—22no—
1851C2×C4—21no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—24no—
1857C2×C4—24no—
1858C2×C4—21no—
1859C2×C4—22no—
1860C2×C4—21no—
1861C2×C4—21no—
1862C2×C4—21no—
1863C2×C4—22no—
1864C2×C4—24no—
1865C2×C4—22no—
1866C2×C4—21no—
1867C2×C4—24no—
1868C2×C4—22no—
1869C2×C4—22no—
1870C2×C4—21no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—24no—
1874C2×C4—21no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—21no—
1878C2×C4—21no—
1879C2×C4—22no—
1880C2×C4—21no—
1881C2×C4—22no—
1882C2×C4—24no—
1883C2×C4—22no—
1884C2×C4—21no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—21no—
1888C2×C4—21no—
1889C2×C4—21no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—48no—
1893C2×C4—44no—
1894C2×C4—48no—
1895C2×C4—48no—
1896C2×C4—44no—
1897C2×C4—48no—
1898C2×C4—48no—
1899C2×C4—44no—
1900C2×C4—44no—
1901C2×C4—48no—
1902C2×C4—84no—
1903C2×C4—88no—
1904C2×C4—82no—
1905C2×C4—84no—
1906C2×C4—84no—
1907C2×C4—88no—
1908C2×C4—88no—
1909C2×C4—88no—
1910C2×C4—88no—
1911C2×C4—88no—
1912C2×C4C23×D414yes—
1913C2×C4C23×D412yes—
1914C2×C4C23×D414yes—
1915C2×C4C23×D414yes—
1916C2×C4C23×D418yes—
1917C2×C4C23×D412yes—
1918C2×C4C23×D412yes—
1919C2×C4C22×#4114yes—
1920C2×C4C22×#4112yes—
1921C2×C4C22×#4112yes—
1922C2×C4C2×H(5,𝔽2)12yes—
1923C2×C4C2×H(5,𝔽2)14yes—
1924C2×C4C2×H(5,𝔽2)12yes—
1925C2×C4C2×H(5,𝔽2)12yes—
1926C2×C4C2×H(5,𝔽2)12yes—
1927C2×C4#58512yes—
1928C2×C4#58512yes—
1929C22—22no—
1930C22—24no—
1931C22—24no—
1932C22—24no—
1933C22—22no—
1934C22—24no—
1935C22—22no—
1936C22—24no—
1937C22—24no—
1938C22—42no—
1939C22—41no—
1940C22—42no—
1941C22—42no—
1942C22—41no—
1943C22—42no—
1944C22—41no—
1945C22—42no—
1946C22—42no—
1947C22—42no—
1948C22—41no—
1949C22—42no—
1950C22—41no—
1951C22—42no—
1952C22—42no—
1953C22—44no—
1954C22—42no—
1955C22—41no—
1956C22—44no—
1957C22—42no—
1958C22—41no—
1959C22—42no—
1960C22—42no—
1961C22—44no—
1962C22—41no—
1963C22—42no—
1964C22—42no—
1965C22—44no—
1966C22—41no—
1967C22—42no—
1968C22—42no—
1969C22—44no—
1970C22—42no—
1971C22—44no—
1972C22—42no—
1973C22—41no—
1974C22—42no—
1975C22—42no—
1976C22—41no—
1977C22—44no—
1978C22—1616no—
1979C22C24×D411yescharacteristic
1980C22C23×#4111yescharacteristic
1981C22C22×H(5,𝔽2)11yescharacteristic
1982C22C22×H(5,𝔽2)11yescharacteristic
1983C22C2×#58511yescharacteristic
1984C22C2×#58511yescharacteristic
1985C222−1+611yescharacteristic
1986C4—24no—
1987C4—22no—
1988C4—24no—
1989C4—22no—
1990C4—24no—
1991C4—28no—
1992C4—22no—
1993C4—22no—
1994C4—22no—
1995C4—24no—
1996C4—24no—
1997C4—41no—
1998C4—41no—
1999C4—42no—
2000C4—41no—
2001C4—42no—
2002C4—41no—
2003C4—42no—
2004C4—42no—
2005C4—41no—
2006C4—44no—
2007C4—42no—
2008C4—44no—
2009C4—42no—
2010C4—41no—
2011C4—42no—
2012C4D4×#4114yes—
2013C4#349814yes—
2014C2—42no—
2015C2—44no—
2016C2—44no—
2017C2—82no—
2018C2—81no—
2019C2—82no—
2020C2—84no—
2021C2C2×D4×#4111yescharacteristic
2022C2C2×#349811yescharacteristic
2023C2#6280011yescharacteristic
2024C2#6293111yescharacteristic
2025C2#6298411yescharacteristic
2026C2#6300211yescharacteristic
2027C2#6302411yescharacteristic
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×#3511C2semidirect
2. C2×#3514C2semidirect
3. #59839C2semidirect
4. #59818C2semidirect
5. #59654C2semidirect
6. #59650C2semidirect
7. #59130C2semidirect
8. #59129C2semidirect
9. #59127C2semidirect
10. #59051C2semidirect
11. #44989C2semidirect
12. #44886C2semidirect
13. #44776C2semidirect
14. #44312C2semidirect
15. #39858C2semidirect
16. #39854C2semidirect
17. #39443C2semidirect
18. #39433C2semidirect
19. #39342C2semidirect
20. #38920C2semidirect
21. #36597C2semidirect
22. #36504C2semidirect
23. #36493C2semidirect
24. #36465C2semidirect
25. #36273C2semidirect
26. #36260C2semidirect
27. #36124C2semidirect
28. #36122C2semidirect
29. #36087C2semidirect
30. #36004C2semidirect
31. #34919C2semidirect
32. #34889C2semidirect
33. #34275C2semidirect
34. C4×#556C2semidirect
35. C4×#550C2semidirect
40. C2×#556C22semidirect
42. C2×#555C22semidirect
43. C2×#554C22semidirect
44. C2×#553C22semidirect
47. C2×#550C22semidirect
49. C2×D4×Q8C22semidirect
52. C2×#548C22semidirect
53. C2×#548C22semidirect
54. C2×#548C22semidirect
56. C2×#547C22semidirect
63. C2×#542C22semidirect
65. C2×#537C22semidirect
67. C2×#533C22semidirect
71. C22×C4⋊Q8C22semidirect
75. C2×#520C22semidirect
78. C2×C4×#41C22semidirect
80. #2858C22semidirect
81. #2858C22semidirect
82. #2857C22semidirect
85. #2850C22semidirect
86. #2850C22semidirect
87. #2723C22semidirect
88. #2720C22semidirect
89. #2718C22semidirect
90. #2714C22semidirect
91. #2711C22semidirect
92. #2706C22semidirect
93. #2696C22semidirect
94. #2692C22semidirect
95. #2681C22semidirect
96. #2680C22semidirect
97. #2677C22semidirect
98. #2676C22semidirect
99. #2676C22semidirect
100. #2674C22semidirect
101. #2673C22semidirect
102. #2673C22semidirect
103. #2671C22semidirect
106. #2669C22semidirect
107. #2669C22semidirect
108. #2632C22semidirect
109. #2631C22semidirect
110. #2624C22semidirect
112. #2610C22semidirect
113. #2610C22semidirect
114. #2598C22semidirect
115. #2598C22semidirect
116. #2560C22semidirect
117. #2559C22semidirect
118. #2558C22semidirect
119. #2557C22semidirect
120. #2555C22semidirect
121. #2555C22semidirect
122. #2555C22semidirect
123. #2554C22semidirect
124. #2554C22semidirect
125. #2551C22semidirect
126. #2550C22semidirect
127. #2546C22semidirect
128. #2545C22semidirect
129. #2545C22semidirect
131. #2544C22semidirect
133. #2542C22semidirect
134. #2542C22semidirect
138. #2541C22semidirect
139. #2541C22semidirect
142. #2540C22semidirect
143. #2540C22semidirect
144. #2540C22semidirect
145. #2540C22semidirect
146. #2540C22semidirect
147. #2540C22semidirect
148. #2540C22semidirect
151. #2538C22semidirect
153. #2536C22semidirect
154. #2536C22semidirect
156. #2535C22semidirect
157. #2521C22semidirect
158. #2519C22semidirect
160. #2492C22semidirect
162. #2491C22semidirect
163. #2491C22semidirect
164. #2491C22semidirect
165. #2491C22semidirect
166. #2490C22semidirect
167. #2489C22semidirect
168. #2487C22semidirect
169. #2479C22semidirect
170. #2472C22semidirect
171. #2472C22semidirect
172. #2472C22semidirect
173. #2471C22semidirect
174. #2467C22semidirect
175. #2464C22semidirect
176. #2464C22semidirect
177. #2464C22semidirect
178. #2464C22semidirect
179. #2461C22semidirect
180. #2461C22semidirect
181. #2461C22semidirect
182. #2461C22semidirect
183. #2461C22semidirect
184. #2456C22semidirect
185. #2456C22semidirect
186. #2455C22semidirect
188. #2452C22semidirect
189. #2452C22semidirect
190. #2449C22semidirect
191. #2448C22semidirect
192. #2440C22semidirect
193. #2440C22semidirect
194. #2437C22semidirect
195. #2436C22semidirect
196. #2434C22semidirect
200. #2432C22semidirect
201. #2431C22semidirect
202. #2431C22semidirect
203. #2429C22semidirect
206. #2428C22semidirect
207. #2428C22semidirect
209. #2426C22semidirect
210. #2426C22semidirect
211. #2426C22semidirect
212. #2424C22semidirect
213. #2424C22semidirect
214. #2424C22semidirect
215. #2424C22semidirect
216. #2424C22semidirect
217. #2423C22semidirect
218. #2416C22semidirect
219. #2416C22semidirect
220. #2416C22semidirect
222. #2414C22semidirect
223. #2409C22semidirect
224. #2409C22semidirect
229. #2407C22semidirect
230. #2407C22semidirect
231. #2396C22semidirect
232. #2395C22semidirect
233. #2392C22semidirect
234. #2388C22semidirect
235. #2373C22semidirect
238. #2366C22semidirect
239. #2366C22semidirect
240. #2365C22semidirect
243. #2363C22semidirect
244. #2363C22semidirect
245. #2363C22semidirect
246. #2363C22semidirect
247. #2363C22semidirect
248. #2363C22semidirect
249. #2362C22semidirect
252. #2361C22semidirect
253. #2361C22semidirect
254. #2361C22semidirect
255. #2358C22semidirect
256. #2358C22semidirect
257. #2358C22semidirect
258. #2358C22semidirect
259. #2358C22semidirect
260. #2356C22semidirect
261. #2355C22semidirect
263. #2354C22semidirect
264. #2354C22semidirect
265. #2354C22semidirect
266. Q8×C4⋊C4C22semidirect
267. #2347C22semidirect
269. #2341C22semidirect
270. #2328C22semidirect
271. #2326C22semidirect
272. #2317C22semidirect
273. C4×C4⋊Q8C22semidirect
275. C4×#127C22semidirect
276. C4×#127C22semidirect
277. C4×#126C22semidirect
279. C4×#124C22semidirect
280. C4×#124C22semidirect
281. C4×#124C22semidirect
282. C4×C22⋊Q8C22semidirect
283. C4×C22⋊Q8C22semidirect
284. C4×C22⋊Q8C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. C4×#121C22semidirect
292. #2297C22semidirect
293. #2293C22semidirect
295. C42×Q8C22semidirect
296. C42×Q8C22semidirect
298. C42×D4C22semidirect
299. C42×D4C22semidirect
300. C4×#117C22semidirect
313. #556D4semidirect
1049. #121#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35112
C2×#35142
#598392
#598182
#596542
#596502
#591302
#591292
#591272
#590512
#449892
#448862
#447762
#443122
#398582
#398542
#394432
#394332
#393422
#389202
#365972
#365042
#364932
#364652
#362732
#362602
#361242
#361222
#360872
#360042
#349192
#348892
#342752
C4×#5562
C4×#5502