Finite Group Databasebeta

← #7691289

Subgroups — #7691289

Order 512.

7825 conjugacy classes of subgroups.

The subgroup lattice has 2015 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3511C211yesmaximal, characteristic, complemented
2C2×#3519C211yesmaximal, characteristic, complemented
3#59818C214yesmaximal, complemented
4#59812C212yesmaximal, complemented
5#59808C212yesmaximal, complemented
6#59660C211yesmaximal, characteristic, complemented
7#59136C211yesmaximal, characteristic, complemented
8#59099C212yesmaximal, complemented
9#59057C211yesmaximal, characteristic, complemented
10#59028C212yesmaximal, complemented
11#44873C212yesmaximal, complemented
12#44868C212yesmaximal, complemented
13#44779C214yesmaximal, complemented
14#44649C214yesmaximal, complemented
15#39866C212yesmaximal, complemented
16#39862C212yesmaximal, complemented
17#39458C214yesmaximal, complemented
18#39436C212yesmaximal, complemented
19#39342C211yesmaximal, characteristic, complemented
20#38921C211yesmaximal, characteristic, complemented
21#36472C212yesmaximal, complemented
22#36470C212yesmaximal, complemented
23#36412C211yesmaximal, characteristic, complemented
24#36410C211yesmaximal, characteristic, complemented
25#36289C211yesmaximal, characteristic, complemented
26#36160C211yesmaximal, characteristic, complemented
27#36123C212yesmaximal, complemented
28#36122C211yesmaximal, characteristic, complemented
29#36083C212yesmaximal, complemented
30#36075C212yesmaximal, complemented
31#34889C211yesmaximal, characteristic, complemented
32#34813C212yesmaximal, complemented
33#34275C212yesmaximal, complemented
34C4×#555C211yesmaximal, characteristic, complemented
35C4×#546C211yesmaximal, characteristic, complemented
36#3519—216no—
37#3511—216no—
38C2×#556C2212yescomplemented
39C2×#555C2211yescharacteristic
40C2×#555C2211yescharacteristic, complemented
41C2×#554C2211yescharacteristic
42C2×#554C2211yescharacteristic, complemented
43C2×#554C2211yescharacteristic, complemented
44C2×#553C2212yes—
45C2×#553C2212yes—
46C2×#553C2212yescomplemented
47C2×#553C2212yescomplemented
48C2×#550C2211yescharacteristic
49C2×#548C2214yescomplemented
50C2×#548C2212yescomplemented
51C2×#547C2212yescomplemented
52C2×#546C2212yes—
53C2×#546C2214yes—
54C2×#546C2211yescharacteristic
55C2×#546C2214yescomplemented
56C2×D42C2212yes—
57C2×D42C2211yescharacteristic
58C2×#542C2214yescomplemented
59C2×#540C2212yes—
60C2×#538C2214yes—
61C2×#537C2212yescomplemented
62C2×#535C2212yes—
63C2×#533C2212yescomplemented
64C2×#532C2211yescharacteristic
65C2×#532C2212yescomplemented
66C2×#532C2211yescharacteristic, complemented
67C22×C4⋊Q8C2211yescharacteristic, complemented
68C2×#529C2211yescharacteristic
69C2×#525C2212yes—
70C22×#121C2212yes—
71C2×#520C2212yescomplemented
72C2×#518C2212yes—
73C2×C4×#41C2211yescharacteristic, complemented
74C22×C4×D4C2211yescharacteristic
75#2860C2214yescomplemented
76#2858C2211yescharacteristic, complemented
77#2857C2211yescharacteristic, complemented
78#2856C2211yescharacteristic, complemented
79#2856C2212yescomplemented
80#2854C2212yescomplemented
81#2850C2212yescomplemented
82#2847C2212yescomplemented
83#2730C2214yescomplemented
84#2729C2214yescomplemented
85#2728C2214yescomplemented
86#2708C2214yescomplemented
87#2706C2214yescomplemented
88#2703C2214yescomplemented
89#2701C2214yescomplemented
90#2698C2214yescomplemented
91#2688C2214yescomplemented
92#2688C2214yescomplemented
93#2687C2214yescomplemented
94#2681C2214yescomplemented
95#2680C2214yescomplemented
96#2680C2214yescomplemented
97#2678C2214yescomplemented
98#2678C2214yescomplemented
99#2672C2214yescomplemented
100#2670C2214yescomplemented
101#2669C2214yescomplemented
102#2669C2214yescomplemented
103#2668C2214yescomplemented
104#2637C2214yescomplemented
105#2636C2214yescomplemented
106#2625C2212yescomplemented
107#2615C2212yescomplemented
108#2604C2214yescomplemented
109#2603C2214yescomplemented
110#2603C2214yescomplemented
111#2603C2214yescomplemented
112#2582C2211yescharacteristic, complemented
113#2567C2211yescharacteristic, complemented
114#2563C2211yescharacteristic
115#2559C2212yescomplemented
116#2559C2214yescomplemented
117#2557C2212yescomplemented
118#2557C2214yescomplemented
119#2555C2214yescomplemented
120#2555C2214yescomplemented
121#2555C2214yescomplemented
122#2553C2214yescomplemented
123#2552C2212yescomplemented
124#2550C2212yescomplemented
125#2550C2211yescharacteristic, complemented
126#2548C2211yescharacteristic, complemented
127#2545C2212yescomplemented
128#2544C2211yescharacteristic, complemented
129#2543C2214yescomplemented
130#2541C2211yescharacteristic, complemented
131#2541C2212yescomplemented
132#2540C2212yescomplemented
133#2540C2211yescharacteristic, complemented
134#2537C2211yescharacteristic
135#2536C2214yescomplemented
136#2536C2214yescomplemented
137#2535C2211yescharacteristic
138#2535C2214yescomplemented
139#2535C2214yescomplemented
140#2534C2214yescomplemented
141#2521C2212yescomplemented
142#2504C2212yescomplemented
143#2500C2212yescomplemented
144#2492C2212yescomplemented
145#2492C2211yescharacteristic, complemented
146#2491C2212yescomplemented
147#2491C2212yescomplemented
148#2491C2212yescomplemented
149#2490C2211yescharacteristic, complemented
150#2490C2212yescomplemented
151#2490C2212yescomplemented
152#2490C2212yescomplemented
153#2489C2212yescomplemented
154#2489C2212yescomplemented
155#2489C2212yescomplemented
156#2488C2214yescomplemented
157#2488C2214yescomplemented
158#2486C2212yescomplemented
159#2485C2212yescomplemented
160#2480C2214yescomplemented
161#2480C2214yescomplemented
162#2476C2214yescomplemented
163#2472C2214yescomplemented
164#2472C2214yescomplemented
165#2472C2214yescomplemented
166#2472C2214yescomplemented
167#2472C2214yescomplemented
168#2472C2214yescomplemented
169#2472C2214yescomplemented
170#2464C2214yescomplemented
171#2464C2214yescomplemented
172#2464C2214yescomplemented
173#2464C2214yescomplemented
174#2464C2212yescomplemented
175#2464C2214yescomplemented
176#2459C2214yescomplemented
177#2457C2214yescomplemented
178#2457C2214yescomplemented
179#2454C2212yescomplemented
180#2452C2212yes—
181#2452C2212yescomplemented
182#2452C2212yescomplemented
183#2447C2212yescomplemented
184#2445C2212yescomplemented
185#2442C2212yescomplemented
186#2442C2212yescomplemented
187#2442C2212yescomplemented
188#2440C2212yescomplemented
189#2436C2212yescomplemented
190#2435C2212yes—
191#2433C2212yescomplemented
192#2432C2212yescomplemented
193#2431C2212yescomplemented
194#2431C2212yescomplemented
195#2430C2214yescomplemented
196#2428C2211yescharacteristic
197#2428C2212yescomplemented
198#2428C2212yescomplemented
199#2428C2212yescomplemented
200#2428C2214yescomplemented
201#2427C2212yes—
202#2427C2212yescomplemented
203#2427C2212yescomplemented
204#2427C2211yescharacteristic, complemented
205#2422C2212yes—
206#2422C2214yescomplemented
207#2420C2212yescomplemented
208#2417C2212yescomplemented
209#2416C2212yescomplemented
210#2416C2212yescomplemented
211#2416C2212yescomplemented
212#2415C2212yescomplemented
213#2414C2212yescomplemented
214#2414C2212yescomplemented
215#2414C2212yescomplemented
216#2410C2214yescomplemented
217#2409C2214yescomplemented
218#2408C2212yes—
219#2408C2212yes—
220#2408C2214yescomplemented
221#2408C2212yescomplemented
222#2407C2212yescomplemented
223#2407C2214yescomplemented
224#2407C2214yescomplemented
225#2405C2214yescomplemented
226#2404C2214yescomplemented
227#2398C2214yescomplemented
228#2398C2214yescomplemented
229#2395C2212yescomplemented
230#2388C2212yescomplemented
231#2372C2214yescomplemented
232#2369C2211yescharacteristic, complemented
233#2367C2211yescharacteristic
234#2367C2212yescomplemented
235#2366C2212yescomplemented
236#2364C2212yescomplemented
237#2363C2212yes—
238#2363C2211yescharacteristic
239#2363C2212yescomplemented
240#2363C2212yescomplemented
241#2363C2212yescomplemented
242#2363C2212yescomplemented
243#2363C2212yescomplemented
244#2361C2212yes—
245#2361C2212yes—
246#2361C2212yescomplemented
247#2361C2212yescomplemented
248#2361C2212yescomplemented
249#2361C2212yescomplemented
250#2360C2211yescharacteristic, complemented
251#2359C2212yescomplemented
252#2358C2214yescomplemented
253#2358C2214yescomplemented
254#2358C2212yescomplemented
255#2358C2214yescomplemented
256#2358C2214yescomplemented
257#2354C2211yescharacteristic, complemented
258#2354C2211yescharacteristic, complemented
259#2352C2212yescomplemented
260#2352C2211yescharacteristic, complemented
261#2349C2211yescharacteristic, complemented
262D4×C4⋊C4C2212yescomplemented
263#2346C2212yescomplemented
264#2346C2212yescomplemented
265#2342C2212yescomplemented
266#2339C2211yescharacteristic, complemented
267D4×C22⋊C4C2211yescharacteristic
268D4×C22⋊C4C2212yescomplemented
269D4×C22⋊C4C2212yescomplemented
270#2328C2214yescomplemented
271#2326C2214yescomplemented
272#2317C2212yescomplemented
273C4×C4⋊Q8C2211yescharacteristic, complemented
274C4×#127C2214yescomplemented
275C4×#124C2211yescharacteristic
276C4×#124C2211yescharacteristic, complemented
277C4×#124C2214yescomplemented
278C4×#124C2214yescomplemented
279C4×#124C2214yescomplemented
280C4×C22⋊Q8C2211yescharacteristic, complemented
281C4×C22⋊Q8C2211yescharacteristic, complemented
282C4×#123C2212yescomplemented
283C4×#121C2211yescharacteristic
284C4×#121C2212yescomplemented
285C4×#121C2212yescomplemented
286C4×#121C2211yescharacteristic, complemented
287C4×#121C2212yescomplemented
288C4×#121C2212yescomplemented
289C4×#120C2212yescomplemented
290#2297C2212yescomplemented
291#2297C2212yescomplemented
292#2297C2212yescomplemented
293C2×#390C2212yes—
294#2280C2212yescomplemented
295C42×D4C2211yescharacteristic, complemented
296C42×D4C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic, complemented
298C4×#117C2212yescomplemented
299C4×#117C2212yescomplemented
300C2×C4×C22⋊C4C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2314yes—
305C22×#41C2312yes—
306C23×Q8C2312yes—
307C23×D4C2311yescharacteristic
308C23×D4C2312yes—
309C23×D4C2312yes—
310C23×D4C2314yes—
311C24×C4C2312yes—
312#556—216no—
313#555—28no—
314#555D4116yescomplemented
315#554—28no—
316#554—28no—
317#554—28no—
318#553—216no—
319#553—216no—
320#553—216no—
321#553—216no—
322#550—28no—
323#548—232no—
324#548—48no—
325#547—216no—
326#546—232no—
327#546—216no—
328#546—28no—
329#546—416no—
330D42—216no—
331D42—28no—
332#542—232no—
333#540—216no—
334#538—232no—
335#537—216no—
336#535—216no—
337#533—216no—
338#532—28no—
339#532—216no—
340#532—28no—
341C2×C4⋊Q8—28no—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2311yescharacteristic
347C2×C4⋊Q8C2311yescharacteristic
348C2×#127C2314yes—
349C2×#127C2311yescharacteristic
350C2×#127C2311yescharacteristic
351C2×#127C2312yes—
352C2×#127C2312yes—
353#529—28no—
354C2×#126C2314yes—
355C2×#126C2314yes—
356C2×#126C2312yes—
357C2×#126C2314yes—
358C2×#125C2311yescharacteristic
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#125C2312yes—
362C2×#124C2314yes—
363C2×#124C2311yescharacteristic
364C2×#124C2312yes—
365C2×#124C2311yescharacteristic
366C2×#124C2312yes—
367C2×#124C2314yes—
368C2×#124C2314yes—
369C2×#124C2314yes—
370C2×#124C2312yes—
371C2×#124C2312yes—
372C2×#124C2311yescharacteristic
373C2×#124C2312yes—
374C2×#124C2314yes—
375#525—216no—
376C2×#123C2312yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2312yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2311yescharacteristic
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2311yescharacteristic
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2314yes—
399C2×#121—216no—
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2312yes—
403C2×#121C2312yes—
404C2×#121C2312yes—
405C2×#121C2312yes—
406C2×#121C2312yes—
407C2×#121C2314yes—
408C2×#121C2312yes—
409C2×#121C2311yescharacteristic
410C2×#121C2314yes—
411C2×#121C2311yescharacteristic
412C2×#121C2312yes—
413C2×#121C2314yes—
414C2×#121C2314yes—
415C2×#121C2314yes—
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#121C2314yes—
419C2×#121C2312yes—
420C2×#121C2314yes—
421C2×#121C2311yescharacteristic
422C2×#121C2314yes—
423C2×#121C2312yes—
424C2×#121C2311yescharacteristic
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2314yes—
429C2×#121C2312yes—
430C2×#121C2314yes—
431C2×#121C2314yes—
432C2×#121C2314yes—
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2311yescharacteristic
436C2×#120C2314yes—
437C2×#120C2314yes—
438C2×#120C2312yes—
439C2×#120C2314yes—
440C2×#120C2314yes—
441C2×#120C2314yes—
442C2×#120C2314yes—
443C2×#120C2314yes—
444#520—216no—
445#518—216no—
446C4×#41—28no—
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2314yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2314yes—
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2312yes—
453C2×C4×D4—28no—
454C2×C4×D4C2314yes—
455C2×C4×D4C2314yes—
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2314yes—
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2312yes—
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2314yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2314yes—
465C2×C4×D4C2314yes—
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2314yes—
481C2×C4×D4C2314yes—
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2314yes—
489C2×C4×D4C2314yes—
490C2×C4×D4C2314yes—
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2311yescharacteristic
493C2×#117C2312yes—
494C2×#117C2312yes—
495C2×#117C2312yes—
496C2×#117C2311yescharacteristic
497C2×#117C2312yes—
498C2×#117C2312yes—
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2312yes—
502C22×C4⋊C4C2312yes—
503C22×C4⋊C4C2312yes—
504C22×C4⋊C4C2312yes—
505C22×C4⋊C4C2311yescharacteristic
506C22×C4⋊C4C2312yes—
507C22×C4⋊C4C2312yes—
508C22×C22⋊C4C2312yes—
509C22×C22⋊C4C2312yes—
510C22×C22⋊C4C2312yes—
511C22×C22⋊C4C2314yes—
512C22×C22⋊C4C2314yes—
513C22×C22⋊C4C2314yes—
514C22×C22⋊C4C2314yes—
515C22×C42C2312yes—
516C22×C42C2311yescharacteristic
517C22×C42C2311yescharacteristic
518C22×C42C2312yes—
519C22×C42C2312yes—
520#400C2314yes—
521#400C2314yes—
522#400C2312yes—
523#400C2314yes—
524#400C2314yes—
525#399C2314yes—
526#399C2312yes—
527#398C2314yes—
528#398C2314yes—
529#398C2314yes—
530#398C2314yes—
531#398C2314yes—
532#398C2314yes—
533#398C2312yes—
534#397C2312yes—
535#397C2314yes—
536#397C2314yes—
537#397C2314yes—
538#397C2314yes—
539#397C2314yes—
540#397C2312yes—
541#397C2312yes—
542#397C2314yes—
543#397C2314yes—
544#397C2314yes—
545#397C2314yes—
546#397C2314yes—
547#396C2314yes—
548#396C2314yes—
549#396C2314yes—
550#396C2314yes—
551#395C2314yes—
552#395C2314yes—
553#395C2312yes—
554#394C2312yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2312yes—
561#394C2312yes—
562#394C2312yes—
563#394C2312yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#393C2314yes—
578#393C2314yes—
579#393C2314yes—
580#393C2312yes—
581#393C2314yes—
582#393C2314yes—
583#392C2314yes—
584#392C2314yes—
585#392C2314yes—
586#392C2314yes—
587#392C2314yes—
588#392C2312yes—
589#392C2312yes—
590#392C2312yes—
591#392C2314yes—
592#392C2314yes—
593#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#392C2314yes—
597#392C2314yes—
598#391C2312yes—
599#391C2312yes—
600#391C2312yes—
601#391C2312yes—
602#391C2312yes—
603#391C2311yescharacteristic
604#391C2311yescharacteristic
605#391C2312yes—
606#391C2314yes—
607#391C2314yes—
608#391C2311yescharacteristic
609#391C2312yes—
610#391C2311yescharacteristic
611#390C2312yes—
612#390C2312yes—
613#390C2314yes—
614#390C2314yes—
615#390C2314yes—
616#390C2314yes—
617#390C2312yes—
618#390C2314yes—
619#390C2312yes—
620#390C2311yescharacteristic
621#390C2311yescharacteristic
622#390C2312yes—
623#390C2312yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2311yescharacteristic
629#390C2314yes—
630#390C2312yes—
631#390C2312yes—
632#390C2312yes—
633#390C2312yes—
634#390C2314yes—
635#390C2314yes—
636#390C2312yes—
637#390C2312yes—
638#390C2312yes—
639#390C2314yes—
640#390C2311yescharacteristic
641#390C2314yes—
642#390C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2311yescharacteristic
648#389C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2311yescharacteristic
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2314yes—
656#389C2312yes—
657#389C2314yes—
658#389C2312yes—
659#389C2311yescharacteristic
660#389C2311yescharacteristic
661#388C2312yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2312yes—
668#388C2312yes—
669#388C2312yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2312yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2312yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2312yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2312yes—
691#388C2314yes—
692#388C2312yes—
693#388C2312yes—
694#388C2312yes—
695#388C2312yes—
696#387C2312yes—
697#387C2314yes—
698#387C2312yes—
699#387C2312yes—
700#387C2312yes—
701#386C2312yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2312yes—
712#386C2312yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2312yes—
718#386C2312yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2312yes—
725#386C2312yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#386C2312yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2312yes—
734#386C2314yes—
735#386C2312yes—
736#386C2312yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2312yes—
747#385C2312yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2312yes—
754#385C2312yes—
755#385C2312yes—
756#385C2312yes—
757#384C2314yes—
758#384C2311yescharacteristic
759#384C2312yes—
760#382C2312yes—
761#382C2314yes—
762#382C2314yes—
763#382C2311yescharacteristic
764#382C2311yescharacteristic
765#382C2314yes—
766#381C2312yes—
767#381C2314yes—
768#381C2314yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2311yescharacteristic
774#380C2311yescharacteristic
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2311yescharacteristic
779#380C2312yes—
780#380C2314yes—
781#380C2314yes—
782#380C2314yes—
783#380C2312yes—
784#380C2314yes—
785#380C2312yes—
786#380C2311yescharacteristic
787#379C2312yes—
788#379C2314yes—
789#379C2314yes—
790#379C2314yes—
791#379C2314yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2314yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2314yes—
821C4×C22⋊C4C2314yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2311yescharacteristic
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2311yescharacteristic
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2312yes—
843#376C2314yes—
844#376C2314yes—
845C2×#95C2312yes—
846C2×#95C2312yes—
847C43C2314yes—
848C43C2311yescharacteristic
849C25C2412yes—
850C25C2414yes—
851C2×#41—28no—
852C2×#41—24no—
853C2×#41—216no—
854C2×#41—28no—
855C2×#41—28no—
856C2×#41—28no—
857C2×#41—24no—
858C2×#41—44no—
859C2×#41—44no—
860C2×#41—42no—
861C2×#41—48no—
862C2×#41—44no—
863C2×#41—44no—
864C2×#41—84no—
865C2×#41—82no—
866C22×Q8—28no—
867C22×Q8—44no—
868C22×Q8—82no—
869C22×Q8C2411yescharacteristic
870C22×Q8C2411yescharacteristic
871C22×Q8C2412yes—
872C22×Q8C2414yes—
873C22×Q8C2412yes—
874C22×Q8C2412yes—
875C22×D4—24no—
876C22×D4—28no—
877C22×D4—24no—
878C22×D4—28no—
879C22×D4—216no—
880C22×D4—28no—
881C22×D4—44no—
882C22×D4—42no—
883C22×D4—44no—
884C22×D4—44no—
885C22×D4—48no—
886C22×D4—84no—
887C22×D4C2411yescharacteristic
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2411yescharacteristic
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2414yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2412yes—
898C22×D4C2414yes—
899C22×D4C2412yes—
900C22×D4C2411yescharacteristic
901C22×D4C2411yescharacteristic
902C22×D4C2411yescharacteristic
903C22×D4C2414yes—
904C22×D4C2412yes—
905C22×D4C2414yes—
906C22×D4C2414yes—
907C22×D4C2412yes—
908C22×D4C2414yes—
909C22×D4C2414yes—
910C22×D4C2414yes—
911C22×D4C2414yes—
912C22×D4C2414yes—
913C22×D4C2414yes—
914C22×D4C2412yes—
915C23×C4—28no—
916C23×C4—44no—
917C23×C4—44no—
918C23×C4C2411yescharacteristic
919C23×C4C2412yes—
920C23×C4C2411yescharacteristic
921C23×C4C2412yes—
922C23×C4C2411yescharacteristic
923C23×C4C2411yescharacteristic
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2411yescharacteristic
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2411yescharacteristic
930C23×C4C2414yes—
931C23×C4C2412yes—
932C23×C4C2412yes—
933C23×C4C2414yes—
934C23×C4C2412yes—
935C23×C4C2414yes—
936C23×C4C2412yes—
937C23×C4C2414yes—
938C23×C4C2412yes—
939C23×C4C2414yes—
940C23×C4C2414yes—
941C23×C4C2412yes—
942C23×C4C2412yes—
943C4⋊Q8—28no—
944C4⋊Q8—28no—
945C4⋊Q8—28no—
946C4⋊Q8—24no—
947C4⋊Q8—24no—
948C4⋊Q8C2×D418yes—
949#127—24no—
950#127—28no—
951#127—216no—
952#127—24no—
953#127—44no—
954#126—28no—
955#126—216no—
956#126—216no—
957#126—216no—
958#125—24no—
959#125—28no—
960#125—28no—
961#125—28no—
962#124—28no—
963#124—24no—
964#124—24no—
965#124—28no—
966#124—216no—
967#124—216no—
968#124—216no—
969#124—216no—
970#124—44no—
971#124—44no—
972#124—42no—
973#124—82no—
974#124C2×D4132yes—
975#123—216no—
976#123—216no—
977#123—28no—
978#123—216no—
979#123—216no—
980#123—216no—
981#123—28no—
982#123—48no—
983#123—48no—
984C22⋊Q8—216no—
985C22⋊Q8—216no—
986C22⋊Q8—28no—
987C22⋊Q8—24no—
988C22⋊Q8—28no—
989C22⋊Q8—28no—
990C22⋊Q8—24no—
991C22⋊Q8—216no—
992C22⋊Q8—216no—
993C22⋊Q8—216no—
994C22⋊Q8—44no—
995C22⋊Q8—48no—
996C22⋊Q8—48no—
997C22⋊Q8—42no—
998#121—24no—
999#121—216no—
1000#121—216no—
1001#121—24no—
1002#121—28no—
1003#121—216no—
1004#121—216no—
1005#121—28no—
1006#121—28no—
1007#121—28no—
1008#121—28no—
1009#121—28no—
1010#121—28no—
1011#121—28no—
1012#121—28no—
1013#121—28no—
1014#121—24no—
1015#121—28no—
1016#121—216no—
1017#121—28no—
1018#121—216no—
1019#121—216no—
1020#121—216no—
1021#121—28no—
1022#121—48no—
1023#121—44no—
1024#121—48no—
1025#121—48no—
1026#121—44no—
1027#121—44no—
1028#121—44no—
1029#121—42no—
1030#121—84no—
1031#121C2×D4116yes—
1032#121C2×D4116yes—
1033#121#4118yescomplemented
1034#120—216no—
1035#120—216no—
1036#120—28no—
1037#120—216no—
1038#120—216no—
1039#120—216no—
1040#120—48no—
1041#120—48no—
1042C4×Q8—24no—
1043C4×Q8—24no—
1044C4×Q8—216no—
1045C4×Q8—24no—
1046C4×Q8—216no—
1047C4×Q8—44no—
1048C4×D4—24no—
1049C4×D4—24no—
1050C4×D4—28no—
1051C4×D4—28no—
1052C4×D4—28no—
1053C4×D4—28no—
1054C4×D4—28no—
1055C4×D4—24no—
1056C4×D4—24no—
1057C4×D4—28no—
1058C4×D4—28no—
1059C4×D4—28no—
1060C4×D4—28no—
1061C4×D4—28no—
1062C4×D4—24no—
1063C4×D4—28no—
1064C4×D4—28no—
1065C4×D4—216no—
1066C4×D4—216no—
1067C4×D4—24no—
1068C4×D4—24no—
1069C4×D4—216no—
1070C4×D4—216no—
1071C4×D4—216no—
1072C4×D4—216no—
1073C4×D4—24no—
1074C4×D4—48no—
1075C4×D4—48no—
1076C4×D4—42no—
1077C4×D4—42no—
1078C4×D4—42no—
1079C4×D4—44no—
1080C4×D4—44no—
1081C4×D4—42no—
1082C4×D4—48no—
1083C4×D4—84no—
1084C4×D4—84no—
1085C4×D4C2×D418yes—
1086C4×D4C2×D418yes—
1087#117—28no—
1088#117—28no—
1089#117—24no—
1090#117—28no—
1091#117—28no—
1092#117—28no—
1093#117—44no—
1094#117C2×D4116yes—
1095#117C2×D4116yes—
1096C2×C4⋊C4—28no—
1097C2×C4⋊C4—24no—
1098C2×C4⋊C4—28no—
1099C2×C4⋊C4—28no—
1100C2×C4⋊C4—28no—
1101C2×C4⋊C4—28no—
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C4⋊C4C2411yescharacteristic
1149C2×C4⋊C4C2411yescharacteristic
1150C2×C22⋊C4—28no—
1151C2×C22⋊C4—216no—
1152C2×C22⋊C4—216no—
1153C2×C22⋊C4—28no—
1154C2×C22⋊C4—28no—
1155C2×C22⋊C4—48no—
1156C2×C22⋊C4—84no—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2411yescharacteristic
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2411yescharacteristic
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2411yescharacteristic
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2411yescharacteristic
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2411yescharacteristic
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2411yescharacteristic
1234C2×C42—28no—
1235C2×C42—24no—
1236C2×C42—24no—
1237C2×C42—44no—
1238C2×C42—44no—
1239C2×C42C2411yescharacteristic
1240C2×C42C2412yes—
1241C2×C42C2414yes—
1242C2×C42C2411yescharacteristic
1243C2×C42C2412yes—
1244C2×C42C2414yes—
1245C2×C42C2411yescharacteristic
1246C2×C42C2414yes—
1247C2×C42C2412yes—
1248C2×C42C2411yescharacteristic
1249C2×C42C2411yescharacteristic
1250C2×C42C2411yescharacteristic
1251C2×C42C2411yescharacteristic
1252C2×C42C2412yes—
1253C2×C42C2411yescharacteristic
1254C2×C42C2412yes—
1255C2×C42C2412yes—
1256C2×C42C2411yescharacteristic
1257C2×C42C2411yescharacteristic
1258C2×C42C2411yescharacteristic
1259C2×C42C2414yes—
1260C2×C42C2414yes—
1261C2×C42C2411yescharacteristic
1262C2×C42C2412yes—
1263C2×C42C2412yes—
1264C2×C42C2412yes—
1265C2×C42C2412yes—
1266C2×C42C2414yes—
1267C2×C42C2411yescharacteristic
1268#95C2411yescharacteristic
1269#95C2411yescharacteristic
1270#95C2412yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2411yescharacteristic
1289#95C2411yescharacteristic
1290#95C2411yescharacteristic
1291#95C2412yes—
1292#95C2412yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2411yescharacteristic
1297#95C2414yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2412yes—
1306#95C2412yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2412yes—
1312#95C2412yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2414yes—
1316C24—24no—
1317C24—24no—
1318C24—24no—
1319C24—28no—
1320C24—28no—
1321C24—42no—
1322C24—42no—
1323C24—42no—
1324C24—44no—
1325C24—42no—
1326C24—44no—
1327C24—44no—
1328C24—44no—
1329C24—44no—
1330C24C2514yes—
1331C24C2512yes—
1332C24C2512yes—
1333C24C2512yes—
1334C24C2512yes—
1335C24C2511yescharacteristic
1336C24C2511yescharacteristic
1337#41—432no—
1338#41—416no—
1339#41—816no—
1340#41—816no—
1341#41—832no—
1342C2×Q8—22no—
1343C2×Q8—24no—
1344C2×Q8—22no—
1345C2×Q8—28no—
1346C2×Q8—24no—
1347C2×Q8—22no—
1348C2×Q8—24no—
1349C2×Q8—28no—
1350C2×Q8—22no—
1351C2×Q8—22no—
1352C2×Q8—22no—
1353C2×Q8—42no—
1354C2×Q8—42no—
1355C2×Q8—44no—
1356C2×Q8—42no—
1357C2×Q8—42no—
1358C2×Q8—42no—
1359C2×Q8—816no—
1360C2×Q8C22×D418yes—
1361C2×D4—24no—
1362C2×D4—24no—
1363C2×D4—24no—
1364C2×D4—24no—
1365C2×D4—24no—
1366C2×D4—24no—
1367C2×D4—22no—
1368C2×D4—24no—
1369C2×D4—24no—
1370C2×D4—24no—
1371C2×D4—28no—
1372C2×D4—24no—
1373C2×D4—22no—
1374C2×D4—24no—
1375C2×D4—28no—
1376C2×D4—28no—
1377C2×D4—28no—
1378C2×D4—28no—
1379C2×D4—28no—
1380C2×D4—28no—
1381C2×D4—28no—
1382C2×D4—24no—
1383C2×D4—22no—
1384C2×D4—22no—
1385C2×D4—28no—
1386C2×D4—24no—
1387C2×D4—24no—
1388C2×D4—28no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—22no—
1392C2×D4—24no—
1393C2×D4—24no—
1394C2×D4—28no—
1395C2×D4—24no—
1396C2×D4—22no—
1397C2×D4—22no—
1398C2×D4—22no—
1399C2×D4—22no—
1400C2×D4—22no—
1401C2×D4—24no—
1402C2×D4—22no—
1403C2×D4—24no—
1404C2×D4—24no—
1405C2×D4—432no—
1406C2×D4—44no—
1407C2×D4—42no—
1408C2×D4—41no—
1409C2×D4—42no—
1410C2×D4—44no—
1411C2×D4—42no—
1412C2×D4—42no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—42no—
1416C2×D4—42no—
1417C2×D4—42no—
1418C2×D4—42no—
1419C2×D4—42no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—42no—
1423C2×D4—44no—
1424C2×D4—44no—
1425C2×D4—44no—
1426C2×D4—42no—
1427C2×D4—44no—
1428C2×D4—44no—
1429C2×D4—42no—
1430C2×D4—44no—
1431C2×D4—44no—
1432C2×D4—42no—
1433C2×D4—44no—
1434C2×D4—44no—
1435C2×D4—44no—
1436C2×D4—44no—
1437C2×D4—44no—
1438C2×D4—44no—
1439C2×D4—44no—
1440C2×D4—44no—
1441C2×D4—416no—
1442C2×D4—816no—
1443C2×D4—832no—
1444C2×D4C22×D414yes—
1445C2×D4C22×D414yes—
1446C2×D4C22×D4116yes—
1447C2×D4C2×#4114yes—
1448C2×D4C2×#4118yes—
1449C22×C4—22no—
1450C22×C4—24no—
1451C22×C4—24no—
1452C22×C4—24no—
1453C22×C4—24no—
1454C22×C4—22no—
1455C22×C4—24no—
1456C22×C4—24no—
1457C22×C4—22no—
1458C22×C4—28no—
1459C22×C4—24no—
1460C22×C4—22no—
1461C22×C4—22no—
1462C22×C4—22no—
1463C22×C4—22no—
1464C22×C4—22no—
1465C22×C4—24no—
1466C22×C4—24no—
1467C22×C4—24no—
1468C22×C4—22no—
1469C22×C4—24no—
1470C22×C4—24no—
1471C22×C4—22no—
1472C22×C4—22no—
1473C22×C4—22no—
1474C22×C4—22no—
1475C22×C4—24no—
1476C22×C4—22no—
1477C22×C4—24no—
1478C22×C4—22no—
1479C22×C4—24no—
1480C22×C4—24no—
1481C22×C4—24no—
1482C22×C4—28no—
1483C22×C4—28no—
1484C22×C4—28no—
1485C22×C4—28no—
1486C22×C4—28no—
1487C22×C4—24no—
1488C22×C4—24no—
1489C22×C4—24no—
1490C22×C4—41no—
1491C22×C4—42no—
1492C22×C4—41no—
1493C22×C4—42no—
1494C22×C4—42no—
1495C22×C4—42no—
1496C22×C4—42no—
1497C22×C4—42no—
1498C22×C4—44no—
1499C22×C4—42no—
1500C22×C4—44no—
1501C22×C4—44no—
1502C22×C4—44no—
1503C22×C4—44no—
1504C22×C4—44no—
1505C22×C4—42no—
1506C22×C4—42no—
1507C22×C4—42no—
1508C22×C4—44no—
1509C22×C4—44no—
1510C22×C4—44no—
1511C22×C4—44no—
1512C22×C4—42no—
1513C22×C4—42no—
1514C22×C4—42no—
1515C22×C4—42no—
1516C22×C4—42no—
1517C22×C4—42no—
1518C22×C4—42no—
1519C22×C4—44no—
1520C22×C4—44no—
1521C22×C4—816no—
1522C22×C4C22×D418yes—
1523C22×C4C22×D418yes—
1524C22×C4C2×#4114yes—
1525C22×C4C2511yescharacteristic
1526C22×C4C2511yescharacteristic
1527C22×C4C2512yes—
1528C22×C4C2511yescharacteristic
1529C22×C4C2512yes—
1530C22×C4C2512yes—
1531C22×C4C2512yes—
1532C22×C4C2514yes—
1533C22×C4C2512yes—
1534C22×C4C2511yescharacteristic
1535C22×C4C2512yes—
1536C22×C4C2512yes—
1537C22×C4C2511yescharacteristic
1538C22×C4C2511yescharacteristic
1539C22×C4C2512yes—
1540C22×C4C2514yes—
1541C22×C4C2512yes—
1542C22×C4C2511yescharacteristic
1543C22×C4C2512yes—
1544C22×C4C2512yes—
1545C22×C4C2511yescharacteristic
1546C22×C4C2514yes—
1547C22×C4C2512yes—
1548C22×C4C2511yescharacteristic
1549C22×C4C2511yescharacteristic
1550C22×C4C2511yescharacteristic
1551C22×C4C2511yescharacteristic
1552C22×C4C2511yescharacteristic
1553C4⋊C4—22no—
1554C4⋊C4—24no—
1555C4⋊C4—22no—
1556C4⋊C4—24no—
1557C4⋊C4—22no—
1558C4⋊C4—24no—
1559C4⋊C4—28no—
1560C4⋊C4—28no—
1561C4⋊C4—28no—
1562C4⋊C4—28no—
1563C4⋊C4—28no—
1564C4⋊C4—22no—
1565C4⋊C4—24no—
1566C4⋊C4—24no—
1567C4⋊C4—24no—
1568C4⋊C4—24no—
1569C4⋊C4—24no—
1570C4⋊C4—24no—
1571C4⋊C4—28no—
1572C4⋊C4—24no—
1573C4⋊C4—28no—
1574C4⋊C4—28no—
1575C4⋊C4—24no—
1576C4⋊C4—22no—
1577C4⋊C4—24no—
1578C4⋊C4—22no—
1579C4⋊C4—24no—
1580C4⋊C4—22no—
1581C4⋊C4—24no—
1582C4⋊C4—22no—
1583C4⋊C4—22no—
1584C4⋊C4—42no—
1585C4⋊C4—42no—
1586C4⋊C4—41no—
1587C4⋊C4—44no—
1588C4⋊C4—44no—
1589C4⋊C4—44no—
1590C4⋊C4—42no—
1591C4⋊C4—44no—
1592C4⋊C4—42no—
1593C4⋊C4—44no—
1594C4⋊C4—44no—
1595C4⋊C4—42no—
1596C4⋊C4C22×D418yes—
1597C4⋊C4C22×D418yes—
1598C4⋊C4C22×D414yes—
1599C4⋊C4C22×D414yes—
1600C4⋊C4C2×#4114yes—
1601C22⋊C4—24no—
1602C22⋊C4—24no—
1603C22⋊C4—24no—
1604C22⋊C4—24no—
1605C22⋊C4—28no—
1606C22⋊C4—24no—
1607C22⋊C4—28no—
1608C22⋊C4—24no—
1609C22⋊C4—24no—
1610C22⋊C4—22no—
1611C22⋊C4—28no—
1612C22⋊C4—24no—
1613C22⋊C4—24no—
1614C22⋊C4—28no—
1615C22⋊C4—24no—
1616C22⋊C4—28no—
1617C22⋊C4—24no—
1618C22⋊C4—28no—
1619C22⋊C4—28no—
1620C22⋊C4—24no—
1621C22⋊C4—28no—
1622C22⋊C4—24no—
1623C22⋊C4—28no—
1624C22⋊C4—28no—
1625C22⋊C4—28no—
1626C22⋊C4—24no—
1627C22⋊C4—24no—
1628C22⋊C4—22no—
1629C22⋊C4—24no—
1630C22⋊C4—28no—
1631C22⋊C4—24no—
1632C22⋊C4—28no—
1633C22⋊C4—28no—
1634C22⋊C4—24no—
1635C22⋊C4—24no—
1636C22⋊C4—28no—
1637C22⋊C4—22no—
1638C22⋊C4—24no—
1639C22⋊C4—28no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4—42no—
1643C22⋊C4—44no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—44no—
1647C22⋊C4—42no—
1648C22⋊C4—42no—
1649C22⋊C4—42no—
1650C22⋊C4—42no—
1651C22⋊C4—42no—
1652C22⋊C4—42no—
1653C22⋊C4—42no—
1654C22⋊C4—41no—
1655C22⋊C4—41no—
1656C22⋊C4—44no—
1657C22⋊C4—44no—
1658C22⋊C4—42no—
1659C22⋊C4—42no—
1660C22⋊C4—44no—
1661C22⋊C4—44no—
1662C22⋊C4—42no—
1663C22⋊C4—44no—
1664C22⋊C4—44no—
1665C22⋊C4—42no—
1666C22⋊C4—44no—
1667C22⋊C4—42no—
1668C22⋊C4—44no—
1669C22⋊C4—44no—
1670C22⋊C4—42no—
1671C22⋊C4—42no—
1672C22⋊C4C22×D4116yes—
1673C22⋊C4C22×D418yes—
1674C22⋊C4C22×D4116yes—
1675C22⋊C4C22×D418yes—
1676C22⋊C4C2×#4118yes—
1677C22⋊C4H(5,𝔽2)14yes—
1678C42—22no—
1679C42—22no—
1680C42—24no—
1681C42—22no—
1682C42—22no—
1683C42—24no—
1684C42—22no—
1685C42—22no—
1686C42—24no—
1687C42—28no—
1688C42—24no—
1689C42—28no—
1690C42—22no—
1691C42—22no—
1692C42—28no—
1693C42—22no—
1694C42—22no—
1695C42—24no—
1696C42—24no—
1697C42—22no—
1698C42—42no—
1699C42—42no—
1700C42—42no—
1701C42—42no—
1702C42—44no—
1703C42—44no—
1704C42—41no—
1705C42C22×D414yes—
1706C42C22×D4116yes—
1707C23—22no—
1708C23—21no—
1709C23—21no—
1710C23—21no—
1711C23—22no—
1712C23—22no—
1713C23—22no—
1714C23—21no—
1715C23—22no—
1716C23—22no—
1717C23—21no—
1718C23—22no—
1719C23—21no—
1720C23—21no—
1721C23—22no—
1722C23—21no—
1723C23—22no—
1724C23—22no—
1725C23—22no—
1726C23—22no—
1727C23—21no—
1728C23—22no—
1729C23—22no—
1730C23—21no—
1731C23—22no—
1732C23—22no—
1733C23—21no—
1734C23—22no—
1735C23—22no—
1736C23—21no—
1737C23—22no—
1738C23—24no—
1739C23—24no—
1740C23—22no—
1741C23—24no—
1742C23—22no—
1743C23—22no—
1744C23—24no—
1745C23—22no—
1746C23—24no—
1747C23—22no—
1748C23—24no—
1749C23—24no—
1750C23—22no—
1751C23—48no—
1752C23—48no—
1753C23—48no—
1754C23—416no—
1755C23—84no—
1756C23—84no—
1757C23—84no—
1758C23—88no—
1759C23—88no—
1760C23—88no—
1761C23—88no—
1762C23—84no—
1763C23—164no—
1764C23—164no—
1765C23C23×D414yes—
1766C23C23×D414yes—
1767C23C22×#4114yes—
1768C23C22×#4112yes—
1769C23C2×H(5,𝔽2)12yes—
1770C23C2611yescharacteristic
1771Q8—48no—
1772Q8—416no—
1773Q8—48no—
1774Q8—44no—
1775Q8—44no—
1776Q8—84no—
1777D4—28no—
1778D4—28no—
1779D4—28no—
1780D4—416no—
1781D4—48no—
1782D4—416no—
1783D4—416no—
1784D4—48no—
1785D4—48no—
1786D4—48no—
1787D4—44no—
1788D4—48no—
1789D4—48no—
1790D4—48no—
1791D4—48no—
1792D4—48no—
1793D4—44no—
1794D4—48no—
1795D4—88no—
1796D4—84no—
1797D4—84no—
1798D4—88no—
1799D4—88no—
1800D4—88no—
1801D4—88no—
1802D4—88no—
1803D4—88no—
1804D4—164no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—22no—
1808C2×C4—21no—
1809C2×C4—24no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—21no—
1817C2×C4—22no—
1818C2×C4—24no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—216no—
1822C2×C4—28no—
1823C2×C4—216no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—24no—
1834C2×C4—22no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—24no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—21no—
1841C2×C4—24no—
1842C2×C4—21no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—24no—
1846C2×C4—21no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—21no—
1850C2×C4—21no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—22no—
1857C2×C4—24no—
1858C2×C4—21no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—21no—
1864C2×C4—21no—
1865C2×C4—21no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—21no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—21no—
1873C2×C4—21no—
1874C2×C4—22no—
1875C2×C4—24no—
1876C2×C4—21no—
1877C2×C4—22no—
1878C2×C4—44no—
1879C2×C4—48no—
1880C2×C4—48no—
1881C2×C4—44no—
1882C2×C4—44no—
1883C2×C4—48no—
1884C2×C4—44no—
1885C2×C4—44no—
1886C2×C4—48no—
1887C2×C4—84no—
1888C2×C4—84no—
1889C2×C4—84no—
1890C2×C4—84no—
1891C2×C4—84no—
1892C2×C4—88no—
1893C2×C4—88no—
1894C2×C4—88no—
1895C2×C4—88no—
1896C2×C4—88no—
1897C2×C4—84no—
1898C2×C4—88no—
1899C2×C4—84no—
1900C2×C4C23×D414yes—
1901C2×C4C23×D412yes—
1902C2×C4C23×D414yes—
1903C2×C4C23×D418yes—
1904C2×C4C23×D412yes—
1905C2×C4C23×D412yes—
1906C2×C4C22×#4114yes—
1907C2×C4C22×#4112yes—
1908C2×C4C22×#4112yes—
1909C2×C4C2×H(5,𝔽2)12yes—
1910C2×C4C2×H(5,𝔽2)12yes—
1911C2×C4#58512yes—
1912C2×C4#58512yes—
1913C2×C4#58512yes—
1914C22—22no—
1915C22—24no—
1916C22—24no—
1917C22—22no—
1918C22—24no—
1919C22—22no—
1920C22—22no—
1921C22—22no—
1922C22—24no—
1923C22—24no—
1924C22—24no—
1925C22—22no—
1926C22—24no—
1927C22—24no—
1928C22—24no—
1929C22—41no—
1930C22—42no—
1931C22—42no—
1932C22—41no—
1933C22—42no—
1934C22—42no—
1935C22—42no—
1936C22—41no—
1937C22—42no—
1938C22—42no—
1939C22—42no—
1940C22—41no—
1941C22—42no—
1942C22—41no—
1943C22—42no—
1944C22—41no—
1945C22—42no—
1946C22—41no—
1947C22—42no—
1948C22—41no—
1949C22—42no—
1950C22—44no—
1951C22—42no—
1952C22—44no—
1953C22—42no—
1954C22—44no—
1955C22—42no—
1956C22—44no—
1957C22—44no—
1958C22—42no—
1959C22—42no—
1960C22—44no—
1961C22—42no—
1962C22—44no—
1963C22—816no—
1964C22—1616no—
1965C22C24×D411yescharacteristic
1966C22C23×#4111yescharacteristic
1967C22C22×H(5,𝔽2)11yescharacteristic
1968C22C2×#58511yescharacteristic
1969C22C2×#58511yescharacteristic
1970C22C2×#58511yescharacteristic
1971C22H(7,𝔽2)11yescharacteristic
1972C4—22no—
1973C4—22no—
1974C4—28no—
1975C4—24no—
1976C4—22no—
1977C4—24no—
1978C4—22no—
1979C4—24no—
1980C4—41no—
1981C4—42no—
1982C4—42no—
1983C4—44no—
1984C4—41no—
1985C4—42no—
1986C4—42no—
1987C4—41no—
1988C4—44no—
1989C4—41no—
1990C4—41no—
1991C4—42no—
1992C4—42no—
1993C4—42no—
1994C4—41no—
1995C4—41no—
1996C4—42no—
1997C4—42no—
1998C4D4×#4114yes—
1999C4#350014yes—
2000C2—42no—
2001C2—44no—
2002C2—42no—
2003C2—44no—
2004C2—44no—
2005C2—82no—
2006C2—84no—
2007C2C2×D4×#4111yescharacteristic
2008C2#6280011yescharacteristic
2009C2C2×#350011yescharacteristic
2010C2#6293711yescharacteristic
2011C2D4×H(5,𝔽2)11yescharacteristic
2012C2#6299211yescharacteristic
2013C2#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×#3519C2semidirect
3. #59818C2semidirect
4. #59812C2semidirect
5. #59808C2semidirect
6. #59660C2semidirect
7. #59136C2semidirect
8. #59099C2semidirect
9. #59057C2semidirect
10. #59028C2semidirect
11. #44873C2semidirect
12. #44868C2semidirect
13. #44779C2semidirect
14. #44649C2semidirect
15. #39866C2semidirect
16. #39862C2semidirect
17. #39458C2semidirect
18. #39436C2semidirect
19. #39342C2semidirect
20. #38921C2semidirect
21. #36472C2semidirect
22. #36470C2semidirect
23. #36412C2semidirect
24. #36410C2semidirect
25. #36289C2semidirect
26. #36160C2semidirect
27. #36123C2semidirect
28. #36122C2semidirect
29. #36083C2semidirect
30. #36075C2semidirect
31. #34889C2semidirect
32. #34813C2semidirect
33. #34275C2semidirect
34. C4×#555C2semidirect
35. C4×#546C2semidirect
38. C2×#556C22semidirect
40. C2×#555C22semidirect
42. C2×#554C22semidirect
43. C2×#554C22semidirect
46. C2×#553C22semidirect
47. C2×#553C22semidirect
49. C2×#548C22semidirect
50. C2×#548C22semidirect
51. C2×#547C22semidirect
55. C2×#546C22semidirect
58. C2×#542C22semidirect
61. C2×#537C22semidirect
63. C2×#533C22semidirect
65. C2×#532C22semidirect
66. C2×#532C22semidirect
67. C22×C4⋊Q8C22semidirect
71. C2×#520C22semidirect
73. C2×C4×#41C22semidirect
75. #2860C22semidirect
76. #2858C22semidirect
77. #2857C22semidirect
78. #2856C22semidirect
79. #2856C22semidirect
80. #2854C22semidirect
81. #2850C22semidirect
82. #2847C22semidirect
83. #2730C22semidirect
84. #2729C22semidirect
85. #2728C22semidirect
86. #2708C22semidirect
87. #2706C22semidirect
88. #2703C22semidirect
89. #2701C22semidirect
90. #2698C22semidirect
91. #2688C22semidirect
92. #2688C22semidirect
93. #2687C22semidirect
94. #2681C22semidirect
95. #2680C22semidirect
96. #2680C22semidirect
97. #2678C22semidirect
98. #2678C22semidirect
99. #2672C22semidirect
100. #2670C22semidirect
101. #2669C22semidirect
102. #2669C22semidirect
103. #2668C22semidirect
104. #2637C22semidirect
105. #2636C22semidirect
106. #2625C22semidirect
107. #2615C22semidirect
108. #2604C22semidirect
109. #2603C22semidirect
110. #2603C22semidirect
111. #2603C22semidirect
112. #2582C22semidirect
113. #2567C22semidirect
115. #2559C22semidirect
116. #2559C22semidirect
117. #2557C22semidirect
118. #2557C22semidirect
119. #2555C22semidirect
120. #2555C22semidirect
121. #2555C22semidirect
122. #2553C22semidirect
123. #2552C22semidirect
124. #2550C22semidirect
125. #2550C22semidirect
126. #2548C22semidirect
127. #2545C22semidirect
128. #2544C22semidirect
129. #2543C22semidirect
130. #2541C22semidirect
131. #2541C22semidirect
132. #2540C22semidirect
133. #2540C22semidirect
135. #2536C22semidirect
136. #2536C22semidirect
138. #2535C22semidirect
139. #2535C22semidirect
140. #2534C22semidirect
141. #2521C22semidirect
142. #2504C22semidirect
143. #2500C22semidirect
144. #2492C22semidirect
145. #2492C22semidirect
146. #2491C22semidirect
147. #2491C22semidirect
148. #2491C22semidirect
149. #2490C22semidirect
150. #2490C22semidirect
151. #2490C22semidirect
152. #2490C22semidirect
153. #2489C22semidirect
154. #2489C22semidirect
155. #2489C22semidirect
156. #2488C22semidirect
157. #2488C22semidirect
158. #2486C22semidirect
159. #2485C22semidirect
160. #2480C22semidirect
161. #2480C22semidirect
162. #2476C22semidirect
163. #2472C22semidirect
164. #2472C22semidirect
165. #2472C22semidirect
166. #2472C22semidirect
167. #2472C22semidirect
168. #2472C22semidirect
169. #2472C22semidirect
170. #2464C22semidirect
171. #2464C22semidirect
172. #2464C22semidirect
173. #2464C22semidirect
174. #2464C22semidirect
175. #2464C22semidirect
176. #2459C22semidirect
177. #2457C22semidirect
178. #2457C22semidirect
179. #2454C22semidirect
181. #2452C22semidirect
182. #2452C22semidirect
183. #2447C22semidirect
184. #2445C22semidirect
185. #2442C22semidirect
186. #2442C22semidirect
187. #2442C22semidirect
188. #2440C22semidirect
189. #2436C22semidirect
191. #2433C22semidirect
192. #2432C22semidirect
193. #2431C22semidirect
194. #2431C22semidirect
195. #2430C22semidirect
197. #2428C22semidirect
198. #2428C22semidirect
199. #2428C22semidirect
200. #2428C22semidirect
202. #2427C22semidirect
203. #2427C22semidirect
204. #2427C22semidirect
206. #2422C22semidirect
207. #2420C22semidirect
208. #2417C22semidirect
209. #2416C22semidirect
210. #2416C22semidirect
211. #2416C22semidirect
212. #2415C22semidirect
213. #2414C22semidirect
214. #2414C22semidirect
215. #2414C22semidirect
216. #2410C22semidirect
217. #2409C22semidirect
220. #2408C22semidirect
221. #2408C22semidirect
222. #2407C22semidirect
223. #2407C22semidirect
224. #2407C22semidirect
225. #2405C22semidirect
226. #2404C22semidirect
227. #2398C22semidirect
228. #2398C22semidirect
229. #2395C22semidirect
230. #2388C22semidirect
231. #2372C22semidirect
232. #2369C22semidirect
234. #2367C22semidirect
235. #2366C22semidirect
236. #2364C22semidirect
239. #2363C22semidirect
240. #2363C22semidirect
241. #2363C22semidirect
242. #2363C22semidirect
243. #2363C22semidirect
246. #2361C22semidirect
247. #2361C22semidirect
248. #2361C22semidirect
249. #2361C22semidirect
250. #2360C22semidirect
251. #2359C22semidirect
252. #2358C22semidirect
253. #2358C22semidirect
254. #2358C22semidirect
255. #2358C22semidirect
256. #2358C22semidirect
257. #2354C22semidirect
258. #2354C22semidirect
259. #2352C22semidirect
260. #2352C22semidirect
261. #2349C22semidirect
262. D4×C4⋊C4C22semidirect
263. #2346C22semidirect
264. #2346C22semidirect
265. #2342C22semidirect
266. #2339C22semidirect
268. D4×C22⋊C4C22semidirect
269. D4×C22⋊C4C22semidirect
270. #2328C22semidirect
271. #2326C22semidirect
272. #2317C22semidirect
273. C4×C4⋊Q8C22semidirect
274. C4×#127C22semidirect
276. C4×#124C22semidirect
277. C4×#124C22semidirect
278. C4×#124C22semidirect
279. C4×#124C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×#123C22semidirect
284. C4×#121C22semidirect
285. C4×#121C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#120C22semidirect
290. #2297C22semidirect
291. #2297C22semidirect
292. #2297C22semidirect
294. #2280C22semidirect
295. C42×D4C22semidirect
296. C42×D4C22semidirect
297. C42×D4C22semidirect
298. C4×#117C22semidirect
299. C4×#117C22semidirect
300. C2×C4×C22⋊C4C22semidirect
314. #555D4semidirect
1033. #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×#35192
#598182
#598122
#598082
#596602
#591362
#590992
#590572
#590282
#448732
#448682
#447792
#446492
#398662
#398622
#394582
#394362
#393422
#389212
#364722
#364702
#364122
#364102
#362892
#361602
#361232
#361222
#360832
#360752
#348892
#348132
#342752
C4×#5552
C4×#5462