Finite Group Databasebeta

← #7689482

Subgroups — #7689482

Order 512.

7874 conjugacy classes of subgroups.

The subgroup lattice has 1974 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3519C211yesmaximal, characteristic, complemented
2C2×#3481C211yesmaximal, characteristic, complemented
3#59411C211yesmaximal, characteristic, complemented
4#59304C212yesmaximal, complemented
5#59121C212yesmaximal, complemented
6#59070C211yesmaximal, characteristic, complemented
7#59062C212yesmaximal, complemented
8#59039C211yesmaximal, characteristic, complemented
9#59021C212yesmaximal, complemented
10#58995C214yesmaximal, complemented
11#45135C212yesmaximal, complemented
12#45004C212yesmaximal, complemented
13#43490C214yesmaximal, complemented
14#43053C214yesmaximal, complemented
15#39489C211yesmaximal, characteristic, complemented
16#39486C212yesmaximal, complemented
17#38921C211yesmaximal, characteristic, complemented
18#38916C212yesmaximal, complemented
19#37798C212yesmaximal, complemented
20#37789C214yesmaximal, complemented
21#36411C211yesmaximal, characteristic, complemented
22#36275C211yesmaximal, characteristic, complemented
23#36237C212yesmaximal, complemented
24#36180C211yesmaximal, characteristic, complemented
25#36154C211yesmaximal, characteristic, complemented
26#36143C212yesmaximal, complemented
27#36127C211yesmaximal, characteristic, complemented
28D4×#123C212yesmaximal, complemented
29#35791C212yesmaximal, complemented
30#35761C212yesmaximal, complemented
31#34724C211yesmaximal, characteristic, complemented
32C2×#2422C212yesmaximal, complemented
33#34310C211yesmaximal, characteristic, complemented
34#34248C212yesmaximal, complemented
35C4×#546C211yesmaximal, characteristic, complemented
36#3519—216no—
37#3481—216no—
38C2×#559C2211yescharacteristic, complemented
39C2×#555C2211yescharacteristic
40C2×#554C2211yescharacteristic
41C2×#554C2211yescharacteristic
42C2×#554C2211yescharacteristic, complemented
43C2×#553C2212yes—
44C2×#553C2212yes—
45C2×#553C2212yescomplemented
46C2×#553C2212yescomplemented
47C2×#551C2214yescomplemented
48C2×#550C2211yescharacteristic
49C2×#547C2212yescomplemented
50C2×#546C2214yes—
51C2×#546C2212yes—
52C2×#546C2211yescharacteristic
53C2×#546C2212yes—
54C2×#546C2212yescomplemented
55C2×D42C2212yes—
56C2×D42C2211yescharacteristic
57C2×#540C2212yes—
58C2×#538C2214yes—
59C2×#532C2211yescharacteristic
60C2×#532C2211yescharacteristic, complemented
61C2×#529C2211yescharacteristic
62C2×#529C2212yescomplemented
63C2×#529C2212yescomplemented
64C2×#525C2212yes—
65C2×#525C2214yescomplemented
66C22×#123C2214yescomplemented
67C22×#121C2212yes—
68C2×#518C2212yes—
69C2×#518C2212yes—
70C2×C4×#41C2211yescharacteristic
71C2×C4×#41C2211yescharacteristic, complemented
72C22×C4×D4C2211yescharacteristic
73C22×C4×D4C2212yes—
74C22×C4×D4C2212yescomplemented
75#2868C2211yescharacteristic, complemented
76#2857C2211yescharacteristic, complemented
77#2857C2211yescharacteristic, complemented
78#2857C2212yescomplemented
79#2855C2212yescomplemented
80#2854C2212yescomplemented
81#2849C2214yescomplemented
82#2848C2212yescomplemented
83#2724C2214yescomplemented
84#2722C2214yescomplemented
85#2718C2214yescomplemented
86#2718C2214yescomplemented
87#2718C2214yescomplemented
88#2717C2214yescomplemented
89#2708C2214yescomplemented
90#2708C2214yescomplemented
91#2706C2214yescomplemented
92#2701C2214yescomplemented
93#2701C2214yescomplemented
94#2701C2214yescomplemented
95#2698C2214yescomplemented
96#2695C2214yescomplemented
97#2686C2214yescomplemented
98#2682C2214yescomplemented
99#2680C2214yescomplemented
100#2674C2214yescomplemented
101#2674C2214yescomplemented
102#2671C2214yescomplemented
103#2671C2214yescomplemented
104#2625C2212yescomplemented
105#2622C2214yescomplemented
106#2620C2212yescomplemented
107#2617C2214yescomplemented
108#2582C2211yescharacteristic, complemented
109#2567C2211yescharacteristic, complemented
110#2567C2211yescharacteristic, complemented
111#2567C2211yescharacteristic, complemented
112#2563C2211yescharacteristic, complemented
113#2553C2214yescomplemented
114#2552C2212yescomplemented
115#2552C2212yescomplemented
116#2552C2212yescomplemented
117#2547C2212yescomplemented
118#2544C2212yescomplemented
119#2538C2211yescharacteristic, complemented
120#2537C2212yescomplemented
121#2537C2212yescomplemented
122#2537C2212yescomplemented
123#2534C2214yescomplemented
124#2502C2212yescomplemented
125#2502C2212yescomplemented
126#2501C2212yescomplemented
127#2501C2214yescomplemented
128#2499C2212yescomplemented
129#2496C2214yescomplemented
130#2489C2212yescomplemented
131#2487C2212yescomplemented
132#2487C2212yescomplemented
133#2486C2212yescomplemented
134#2485C2212yescomplemented
135#2483C2214yescomplemented
136#2478C2214yescomplemented
137#2478C2212yescomplemented
138#2474C2214yescomplemented
139#2470C2212yescomplemented
140#2470C2214yescomplemented
141#2468C2214yescomplemented
142#2466C2214yescomplemented
143#2466C2212yescomplemented
144#2461C2214yescomplemented
145#2455C2212yescomplemented
146#2454C2212yescomplemented
147#2453C2211yescharacteristic, complemented
148#2453C2212yescomplemented
149#2450C2214yescomplemented
150#2449C2214yescomplemented
151#2447C2212yescomplemented
152#2447C2212yescomplemented
153#2447C2212yescomplemented
154#2447C2211yescharacteristic, complemented
155#2447C2212yescomplemented
156#2445C2212yescomplemented
157#2445C2212yescomplemented
158#2444C2214yescomplemented
159#2443C2214yescomplemented
160#2443C2214yescomplemented
161#2443C2214yescomplemented
162#2443C2214yescomplemented
163#2443C2214yescomplemented
164#2442C2212yescomplemented
165#2441C2212yescomplemented
166#2441C2212yescomplemented
167#2441C2212yescomplemented
168#2441C2211yescharacteristic, complemented
169#2440C2214yescomplemented
170#2440C2214yescomplemented
171#2438C2214yescomplemented
172#2437C2214yescomplemented
173#2432C2212yescomplemented
174#2432C2212yescomplemented
175#2432C2212yescomplemented
176#2432C2211yescharacteristic, complemented
177#2430C2214yescomplemented
178#2429C2211yescharacteristic, complemented
179#2428C2212yescomplemented
180#2427C2212yescomplemented
181#2427C2212yescomplemented
182#2427C2212yescomplemented
183#2425C2214yescomplemented
184#2425C2214yescomplemented
185#2425C2214yescomplemented
186#2424C2214yescomplemented
187#2422C2212yes—
188#2422C2211yescharacteristic
189#2422C2212yescomplemented
190#2422C2212yescomplemented
191#2422C2212yescomplemented
192#2422C2212yescomplemented
193#2422C2212yescomplemented
194#2422C2212yescomplemented
195#2422C2214yescomplemented
196#2422C2212yescomplemented
197#2422C2212yescomplemented
198#2422C2212yescomplemented
199#2422C2214yescomplemented
200#2422C2212yescomplemented
201#2422C2214yescomplemented
202#2422C2212yescomplemented
203#2422C2214yescomplemented
204#2420C2212yescomplemented
205#2419C2214yescomplemented
206#2419C2214yescomplemented
207#2419C2214yescomplemented
208#2419C2214yescomplemented
209#2418C2214yescomplemented
210#2418C2214yescomplemented
211#2417C2212yescomplemented
212#2417C2212yescomplemented
213#2416C2214yescomplemented
214#2415C2212yescomplemented
215#2415C2211yescharacteristic, complemented
216#2414C2212yescomplemented
217#2413C2214yescomplemented
218#2412C2214yescomplemented
219#2412C2214yescomplemented
220#2412C2214yescomplemented
221#2410C2214yescomplemented
222#2407C2211yescharacteristic
223#2407C2212yescomplemented
224#2407C2212yescomplemented
225#2406C2214yescomplemented
226#2405C2214yescomplemented
227#2395C2212yescomplemented
228#2392C2212yescomplemented
229C2×#397C2214yescomplemented
230C2×#394C2214yescomplemented
231#2367C2211yescharacteristic, complemented
232#2366C2211yescharacteristic, complemented
233#2364C2212yescomplemented
234#2363C2212yescomplemented
235#2363C2211yescharacteristic, complemented
236#2362C2212yescomplemented
237#2361C2212yescomplemented
238#2360C2211yescharacteristic, complemented
239#2359C2214yescomplemented
240#2359C2212yescomplemented
241#2358C2214yescomplemented
242#2358C2212yescomplemented
243#2354C2211yescharacteristic, complemented
244#2354C2212yescomplemented
245#2352C2211yescharacteristic, complemented
246#2349C2212yes—
247#2349C2211yescharacteristic
248#2349C2212yescomplemented
249#2349C2214yescomplemented
250#2349C2214yescomplemented
251#2349C2212yescomplemented
252D4×C4⋊C4C2211yescharacteristic
253D4×C4⋊C4C2212yes—
254D4×C4⋊C4C2212yes—
255D4×C4⋊C4C2212yes—
256D4×C4⋊C4C2212yescomplemented
257D4×C4⋊C4C2212yescomplemented
258D4×C4⋊C4C2214yescomplemented
259D4×C4⋊C4C2214yescomplemented
260D4×C4⋊C4C2212yescomplemented
261D4×C4⋊C4C2212yescomplemented
262#2342C2212yescomplemented
263#2339C2211yescharacteristic
264#2339C2212yes—
265#2339C2212yescomplemented
266#2339C2212yescomplemented
267D4×C22⋊C4C2212yes—
268D4×C22⋊C4C2212yes—
269D4×C22⋊C4C2211yescharacteristic
270D4×C22⋊C4C2212yescomplemented
271#2324C2212yescomplemented
272#2321C2214yescomplemented
273#2317C2212yescomplemented
274#2317C2212yescomplemented
275#2315C2214yescomplemented
276#2315C2214yescomplemented
277C4×C4⋊Q8C2211yescharacteristic, complemented
278C4×#127C2211yescharacteristic, complemented
279C4×#124C2211yescharacteristic, complemented
280C4×C22⋊Q8C2211yescharacteristic, complemented
281C4×C22⋊Q8C2211yescharacteristic, complemented
282C4×C22⋊Q8C2211yescharacteristic, complemented
283C4×#123C2212yescomplemented
284C4×#123C2212yescomplemented
285C4×#121C2212yescomplemented
286C4×#121C2211yescharacteristic, complemented
287C4×#121C2212yescomplemented
288C4×#120C2212yescomplemented
289#2296C2212yescomplemented
290#2296C2212yescomplemented
291#2293C2211yescharacteristic, complemented
292C2×#390C2212yescomplemented
293C2×#389C2212yescomplemented
294C2×#385C2214yescomplemented
295C2×#385C2214yescomplemented
296C2×#384C2212yescomplemented
297C2×#380C2212yescomplemented
298C42×D4C2211yescharacteristic
299C42×D4C2211yescharacteristic, complemented
300C2×C4×C22⋊C4C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C22×#41C2312yes—
306C23×D4C2311yescharacteristic
307C23×D4C2312yes—
308C23×D4C2314yes—
309C23×D4C2312yes—
310C24×C4C2312yes—
311C24×C4C2314yes—
312#559—28no—
313#555—28no—
314#554—28no—
315#554—28no—
316#554—28no—
317#553—216no—
318#553—216no—
319#553—216no—
320#553—216no—
321#551—232no—
322#550—28no—
323#547—48no—
324#546—216no—
325#546—216no—
326#546—216no—
327#546—232no—
328#546—28no—
329D42—216no—
330D42D4116yescomplemented
331#540—216no—
332#538—232no—
333#532—28no—
334#532—28no—
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×#127C2312yes—
341C2×#127C2311yescharacteristic
342#529—216no—
343#529—216no—
344#529—28no—
345C2×#126C2312yes—
346C2×#126C2314yes—
347C2×#126C2314yes—
348C2×#126C2314yes—
349C2×#125C2311yescharacteristic
350C2×#125C2312yes—
351C2×#125C2312yes—
352C2×#125C2312yes—
353C2×#124C2311yescharacteristic
354C2×#124C2311yescharacteristic
355C2×#124C2312yes—
356C2×#124C2312yes—
357C2×#124C2314yes—
358C2×#124C2312yes—
359C2×#124C2312yes—
360#525—216no—
361#525—232no—
362C2×#123—416no—
363C2×#123C2314yes—
364C2×#123C2312yes—
365C2×#123C2314yes—
366C2×#123C2312yes—
367C2×#123C2314yes—
368C2×#123C2314yes—
369C2×#123C2314yes—
370C2×#123C2312yes—
371C2×#123C2314yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2311yescharacteristic
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2311yescharacteristic
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2311yescharacteristic
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2311yescharacteristic
395C2×#121—216no—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2311yescharacteristic
399C2×#121C2311yescharacteristic
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2312yes—
403C2×#121C2314yes—
404C2×#121C2314yes—
405C2×#121C2312yes—
406C2×#121C2314yes—
407C2×#121C2314yes—
408C2×#121C2314yes—
409C2×#121C2312yes—
410C2×#121C2312yes—
411C2×#121C2314yes—
412C2×#121C2314yes—
413C2×#121C2314yes—
414C2×#121C2314yes—
415C2×#121C2312yes—
416C2×#121C2312yes—
417C2×#120C2314yes—
418C2×#120C2312yes—
419C2×#120C2314yes—
420C2×#120C2314yes—
421C2×#120C2314yes—
422#518—216no—
423#518—216no—
424C4×#41—28no—
425C4×#41—28no—
426C2×C4×Q8C2311yescharacteristic
427C2×C4×Q8C2311yescharacteristic
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2311yescharacteristic
430C2×C4×Q8C2311yescharacteristic
431C2×C4×D4—216no—
432C2×C4×D4—216no—
433C2×C4×D4—28no—
434C2×C4×D4C2312yes—
435C2×C4×D4C2311yescharacteristic
436C2×C4×D4C2314yes—
437C2×C4×D4C2311yescharacteristic
438C2×C4×D4C2312yes—
439C2×C4×D4C2311yescharacteristic
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2314yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2314yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2314yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2314yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2314yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2314yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2314yes—
467C2×C4×D4C2314yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2311yescharacteristic
479C2×#117C2312yes—
480C2×#117C2312yes—
481C2×#117C2312yes—
482C2×#117C2312yes—
483C2×#117C2312yes—
484C2×#117C2311yescharacteristic
485C2×#117C2311yescharacteristic
486C2×#117C2312yes—
487C2×#117C2314yes—
488C2×#117C2312yes—
489C22×C4⋊C4C2312yes—
490C22×C4⋊C4C2311yescharacteristic
491C22×C4⋊C4C2312yes—
492C22×C4⋊C4C2312yes—
493C22×C4⋊C4C2314yes—
494C22×C4⋊C4C2312yes—
495C22×C4⋊C4C2314yes—
496C22×C4⋊C4C2314yes—
497C22×C4⋊C4C2314yes—
498C22×C4⋊C4C2314yes—
499C22×C22⋊C4C2314yes—
500C22×C22⋊C4C2314yes—
501C22×C22⋊C4C2314yes—
502C22×C22⋊C4C2314yes—
503C22×C22⋊C4C2314yes—
504C22×C22⋊C4C2312yes—
505C22×C22⋊C4C2312yes—
506C22×C22⋊C4C2312yes—
507C22×C22⋊C4C2314yes—
508C22×C22⋊C4C2314yes—
509C22×C22⋊C4C2314yes—
510C22×C42C2312yes—
511C22×C42C2312yes—
512C22×C42C2311yescharacteristic
513C22×C42C2311yescharacteristic
514C22×C42C2312yes—
515#400C2314yes—
516#400C2312yes—
517#400C2314yes—
518#400C2314yes—
519#399C2312yes—
520#399C2314yes—
521#399C2314yes—
522#399C2314yes—
523#399C2314yes—
524#398C2314yes—
525#398C2314yes—
526#398C2312yes—
527#398C2312yes—
528#398C2314yes—
529#398C2314yes—
530#398C2314yes—
531#398C2314yes—
532#398C2314yes—
533#398C2314yes—
534#398C2314yes—
535#397C2314yes—
536#397C2314yes—
537#397C2314yes—
538#397C2314yes—
539#397C2314yes—
540#397C2314yes—
541#397C2314yes—
542#397C2312yes—
543#397C2314yes—
544#397C2314yes—
545#397C2314yes—
546#397C2314yes—
547#397C2314yes—
548#397C2314yes—
549#397C2312yes—
550#397C2312yes—
551#397C2312yes—
552#397C2314yes—
553#397C2314yes—
554#397C2314yes—
555#396C2314yes—
556#396C2314yes—
557#396C2312yes—
558#396C2312yes—
559#396C2314yes—
560#396C2314yes—
561#396C2314yes—
562#395C2314yes—
563#395C2314yes—
564#395C2314yes—
565#394C2312yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2312yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2312yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2312yes—
582#394C2312yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#394C2314yes—
588#394C2314yes—
589#393C2314yes—
590#392C2314yes—
591#392C2314yes—
592#392C2312yes—
593#391C2311yescharacteristic
594#391C2311yescharacteristic
595#391C2312yes—
596#391C2312yes—
597#391C2312yes—
598#391C2312yes—
599#391C2312yes—
600#391C2311yescharacteristic
601#391C2311yescharacteristic
602#391C2311yescharacteristic
603#391C2312yes—
604#391C2312yes—
605#391C2311yescharacteristic
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2312yes—
610#390C2314yes—
611#390C2312yes—
612#390C2311yescharacteristic
613#390C2312yes—
614#390C2311yescharacteristic
615#390C2311yescharacteristic
616#390C2312yes—
617#390C2314yes—
618#390C2314yes—
619#390C2312yes—
620#390C2312yes—
621#390C2311yescharacteristic
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2311yescharacteristic
631#389C2312yes—
632#389C2312yes—
633#389C2314yes—
634#389C2314yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2314yes—
641#389C2314yes—
642#389C2312yes—
643#389C2311yescharacteristic
644#389C2312yes—
645#389C2311yescharacteristic
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2312yes—
650#389C2311yescharacteristic
651#389C2314yes—
652#389C2314yes—
653#389C2311yescharacteristic
654#389C2314yes—
655#389C2311yescharacteristic
656#388C2312yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2312yes—
664#388C2314yes—
665#388C2314yes—
666#388C2312yes—
667#388C2314yes—
668#388C2312yes—
669#388C2312yes—
670#388C2312yes—
671#388C2312yes—
672#388C2314yes—
673#388C2314yes—
674#388C2312yes—
675#387C2314yes—
676#387C2314yes—
677#387C2312yes—
678#387C2312yes—
679#387C2314yes—
680#387C2312yes—
681#387C2314yes—
682#387C2314yes—
683#387C2312yes—
684#387C2312yes—
685#387C2312yes—
686#387C2312yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2312yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2312yes—
697#386C2314yes—
698#386C2312yes—
699#386C2314yes—
700#386C2312yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2312yes—
706#386C2312yes—
707#386C2314yes—
708#386C2312yes—
709#386C2312yes—
710#386C2314yes—
711#386C2314yes—
712#385C2312yes—
713#385C2312yes—
714#385C2314yes—
715#385C2312yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2312yes—
736#385C2312yes—
737#385C2314yes—
738#385C2314yes—
739#385C2312yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2312yes—
748#385C2314yes—
749#385C2312yes—
750#385C2312yes—
751#385C2314yes—
752#385C2312yes—
753#385C2312yes—
754#385C2312yes—
755#384C2311yescharacteristic
756#384C2311yescharacteristic
757#384C2312yes—
758#384C2312yes—
759#384C2312yes—
760#384C2312yes—
761#384C2314yes—
762#384C2312yes—
763#384C2312yes—
764#384C2312yes—
765#384C2314yes—
766#384C2314yes—
767#382C2312yes—
768#382C2311yescharacteristic
769#382C2314yes—
770#381C2312yes—
771#381C2314yes—
772#381C2312yes—
773#381C2314yes—
774#381C2314yes—
775#381C2314yes—
776#381C2314yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2314yes—
781#380C2314yes—
782#380C2314yes—
783#380C2314yes—
784#380C2314yes—
785#380C2314yes—
786#380C2314yes—
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2311yescharacteristic
792#380C2312yes—
793#380C2311yescharacteristic
794#380C2312yes—
795#380C2314yes—
796#380C2312yes—
797#380C2314yes—
798#380C2314yes—
799#380C2311yescharacteristic
800#380C2311yescharacteristic
801#380C2314yes—
802#380C2314yes—
803#379C2314yes—
804#379C2314yes—
805#379C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2314yes—
816C4×C4⋊C4C2314yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2311yescharacteristic
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2311yescharacteristic
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2311yescharacteristic
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2311yescharacteristic
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2311yescharacteristic
842C2×#95C2312yes—
843C2×#95C2314yes—
844C2×#95C2314yes—
845C2×#95C2314yes—
846C2×#95C2312yes—
847C2×#95C2314yes—
848C43C2311yescharacteristic
849C25C2412yes—
850C25C2414yes—
851C2×#41—24no—
852C2×#41—24no—
853C2×#41—28no—
854C2×#41—28no—
855C2×#41—28no—
856C2×#41—24no—
857C2×#41—24no—
858C2×#41—44no—
859C2×#41—44no—
860C2×#41—42no—
861C2×#41—42no—
862C2×#41—44no—
863C2×#41—44no—
864C2×#41—82no—
865C2×#41—82no—
866C22×Q8C2411yescharacteristic
867C22×Q8C2411yescharacteristic
868C22×Q8C2411yescharacteristic
869C22×Q8C2412yes—
870C22×Q8C2412yes—
871C22×D4—28no—
872C22×D4—28no—
873C22×D4—216no—
874C22×D4—24no—
875C22×D4—24no—
876C22×D4—24no—
877C22×D4—44no—
878C22×D4—44no—
879C22×D4—48no—
880C22×D4—84no—
881C22×D4C2×D4116yes—
882C22×D4C2×D4116yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2411yescharacteristic
886C22×D4C2411yescharacteristic
887C22×D4C2414yes—
888C22×D4C2412yes—
889C22×D4C2414yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2411yescharacteristic
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2414yes—
900C22×D4C2412yes—
901C22×D4C2411yescharacteristic
902C23×C4—216no—
903C23×C4—28no—
904C23×C4—48no—
905C23×C4—44no—
906C23×C4—44no—
907C23×C4—84no—
908C23×C4C2412yes—
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2411yescharacteristic
912C23×C4C2412yes—
913C23×C4C2411yescharacteristic
914C23×C4C2412yes—
915C23×C4C2411yescharacteristic
916C23×C4C2412yes—
917C23×C4C2414yes—
918C23×C4C2411yescharacteristic
919C23×C4C2412yes—
920C23×C4C2412yes—
921C23×C4C2412yes—
922C23×C4C2414yes—
923C23×C4C2414yes—
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2414yes—
927C23×C4C2414yes—
928C23×C4C2414yes—
929C23×C4C2414yes—
930C23×C4C2412yes—
931C23×C4C2414yes—
932C23×C4C2414yes—
933C23×C4C2414yes—
934C23×C4C2412yes—
935C23×C4C2412yes—
936C4⋊Q8—24no—
937C4⋊Q8—24no—
938C4⋊Q8—44no—
939C4⋊Q8—42no—
940C4⋊Q8—82no—
941#127—28no—
942#127C2×D418yes—
943#126—28no—
944#126—216no—
945#126—216no—
946#126—216no—
947#125—24no—
948#125—28no—
949#125—28no—
950#125—28no—
951#124—24no—
952#124—28no—
953#124—28no—
954#124—28no—
955#124—28no—
956#124—216no—
957#124—24no—
958#123—216no—
959#123—216no—
960#123—216no—
961#123—216no—
962#123—216no—
963#123—216no—
964#123—28no—
965#123—216no—
966#123—28no—
967#123—28no—
968#123—216no—
969#123—48no—
970#123—48no—
971#123—48no—
972#123—48no—
973#123—48no—
974#123—48no—
975#123—48no—
976#123—84no—
977C22⋊Q8—28no—
978C22⋊Q8—28no—
979C22⋊Q8—28no—
980C22⋊Q8—24no—
981C22⋊Q8—24no—
982C22⋊Q8—216no—
983C22⋊Q8—216no—
984C22⋊Q8—216no—
985C22⋊Q8—44no—
986C22⋊Q8—44no—
987C22⋊Q8—42no—
988C22⋊Q8—44no—
989C22⋊Q8—42no—
990#121—24no—
991#121—28no—
992#121—216no—
993#121—216no—
994#121—28no—
995#121—28no—
996#121—216no—
997#121—216no—
998#121—28no—
999#121—28no—
1000#121—28no—
1001#121—216no—
1002#121—216no—
1003#121—216no—
1004#121—28no—
1005#121—28no—
1006#121—24no—
1007#121—48no—
1008#121—84no—
1009#121C2×D4116yes—
1010#121C2×D4116yes—
1011#120—216no—
1012#120—216no—
1013#120—216no—
1014#120—28no—
1015#120C2×D4132yes—
1016C4×Q8—24no—
1017C4×Q8—24no—
1018C4×Q8—24no—
1019C4×Q8—24no—
1020C4×Q8—24no—
1021C4×D4—24no—
1022C4×D4—24no—
1023C4×D4—24no—
1024C4×D4—216no—
1025C4×D4—216no—
1026C4×D4—28no—
1027C4×D4—28no—
1028C4×D4—28no—
1029C4×D4—28no—
1030C4×D4—216no—
1031C4×D4—216no—
1032C4×D4—28no—
1033C4×D4—28no—
1034C4×D4—216no—
1035C4×D4—28no—
1036C4×D4—28no—
1037C4×D4—216no—
1038C4×D4—28no—
1039C4×D4—28no—
1040C4×D4—28no—
1041C4×D4—24no—
1042C4×D4—28no—
1043C4×D4—28no—
1044C4×D4—28no—
1045C4×D4—28no—
1046C4×D4—216no—
1047C4×D4—24no—
1048C4×D4—28no—
1049C4×D4—28no—
1050C4×D4—28no—
1051C4×D4—28no—
1052C4×D4—216no—
1053C4×D4—216no—
1054C4×D4—24no—
1055C4×D4—24no—
1056C4×D4—28no—
1057C4×D4—24no—
1058C4×D4—44no—
1059C4×D4—44no—
1060C4×D4—44no—
1061C4×D4—44no—
1062C4×D4—42no—
1063C4×D4C2×D418yes—
1064C4×D4C2×D418yes—
1065C4×D4#4118yescomplemented
1066#117—28no—
1067#117—28no—
1068#117—24no—
1069#117—24no—
1070#117—28no—
1071#117—28no—
1072#117—28no—
1073#117—28no—
1074#117—216no—
1075#117—28no—
1076C2×C4⋊C4—28no—
1077C2×C4⋊C4—28no—
1078C2×C4⋊C4—28no—
1079C2×C4⋊C4—24no—
1080C2×C4⋊C4—44no—
1081C2×C4⋊C4—48no—
1082C2×C4⋊C4—48no—
1083C2×C4⋊C4—48no—
1084C2×C4⋊C4—84no—
1085C2×C4⋊C4—84no—
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C4⋊C4C2411yescharacteristic
1149C2×C22⋊C4—216no—
1150C2×C22⋊C4—216no—
1151C2×C22⋊C4—216no—
1152C2×C22⋊C4—216no—
1153C2×C22⋊C4—216no—
1154C2×C22⋊C4—28no—
1155C2×C22⋊C4—28no—
1156C2×C22⋊C4—216no—
1157C2×C22⋊C4—28no—
1158C2×C22⋊C4—48no—
1159C2×C22⋊C4—48no—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2411yescharacteristic
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2411yescharacteristic
1202C2×C22⋊C4C2411yescharacteristic
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2411yescharacteristic
1210C2×C22⋊C4C2411yescharacteristic
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2411yescharacteristic
1228C2×C42—28no—
1229C2×C42—28no—
1230C2×C42—24no—
1231C2×C42—24no—
1232C2×C42—44no—
1233C2×C42C2411yescharacteristic
1234C2×C42C2411yescharacteristic
1235C2×C42C2412yes—
1236C2×C42C2412yes—
1237C2×C42C2414yes—
1238C2×C42C2412yes—
1239C2×C42C2412yes—
1240C2×C42C2412yes—
1241C2×C42C2412yes—
1242C2×C42C2414yes—
1243C2×C42C2411yescharacteristic
1244C2×C42C2412yes—
1245C2×C42C2412yes—
1246C2×C42C2411yescharacteristic
1247C2×C42C2411yescharacteristic
1248C2×C42C2411yescharacteristic
1249C2×C42C2411yescharacteristic
1250C2×C42C2411yescharacteristic
1251C2×C42C2412yes—
1252C2×C42C2411yescharacteristic
1253C2×C42C2411yescharacteristic
1254C2×C42C2411yescharacteristic
1255C2×C42C2412yes—
1256C2×C42C2412yes—
1257C2×C42C2411yescharacteristic
1258C2×C42C2411yescharacteristic
1259#95C2412yes—
1260#95C2411yescharacteristic
1261#95C2411yescharacteristic
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2414yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2412yes—
1282#95C2411yescharacteristic
1283#95C2411yescharacteristic
1284#95C2411yescharacteristic
1285#95C2412yes—
1286#95C2411yescharacteristic
1287#95C2412yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2414yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2414yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2414yes—
1300#95C2412yes—
1301#95C2414yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2412yes—
1305#95C2412yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311C24—28no—
1312C24—28no—
1313C24—24no—
1314C24—24no—
1315C24—24no—
1316C24—24no—
1317C24—44no—
1318C24—42no—
1319C24—42no—
1320C24—44no—
1321C24—44no—
1322C24—44no—
1323C24—42no—
1324C24C22×D4116yes—
1325C24C2512yes—
1326C24C2511yescharacteristic
1327C24C2512yes—
1328C24C2514yes—
1329C24C2511yescharacteristic
1330C24C2512yes—
1331#41—416no—
1332#41—416no—
1333#41—816no—
1334#41—816no—
1335#41—816no—
1336C2×Q8—22no—
1337C2×Q8—22no—
1338C2×Q8—22no—
1339C2×Q8—24no—
1340C2×Q8—24no—
1341C2×Q8—22no—
1342C2×Q8—22no—
1343C2×Q8—22no—
1344C2×Q8—22no—
1345C2×Q8—22no—
1346C2×Q8—22no—
1347C2×Q8—42no—
1348C2×Q8—42no—
1349C2×Q8—42no—
1350C2×Q8—42no—
1351C2×D4—28no—
1352C2×D4—28no—
1353C2×D4—264no—
1354C2×D4—24no—
1355C2×D4—24no—
1356C2×D4—24no—
1357C2×D4—28no—
1358C2×D4—24no—
1359C2×D4—24no—
1360C2×D4—24no—
1361C2×D4—22no—
1362C2×D4—28no—
1363C2×D4—24no—
1364C2×D4—24no—
1365C2×D4—24no—
1366C2×D4—28no—
1367C2×D4—28no—
1368C2×D4—28no—
1369C2×D4—28no—
1370C2×D4—22no—
1371C2×D4—24no—
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—24no—
1375C2×D4—24no—
1376C2×D4—22no—
1377C2×D4—24no—
1378C2×D4—24no—
1379C2×D4—22no—
1380C2×D4—22no—
1381C2×D4—432no—
1382C2×D4—41no—
1383C2×D4—42no—
1384C2×D4—44no—
1385C2×D4—44no—
1386C2×D4—42no—
1387C2×D4—44no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—42no—
1391C2×D4—42no—
1392C2×D4—44no—
1393C2×D4—42no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4—416no—
1402C2×D4—832no—
1403C2×D4C22×D4116yes—
1404C2×D4C22×D418yes—
1405C2×D4C22×D414yes—
1406C2×D4C22×D418yes—
1407C2×D4C22×D4116yes—
1408C2×D4C22×D418yes—
1409C2×D4C22×D414yes—
1410C2×D4C2×#4114yes—
1411C2×D42−1+414yes—
1412C22×C4—24no—
1413C22×C4—24no—
1414C22×C4—24no—
1415C22×C4—24no—
1416C22×C4—24no—
1417C22×C4—24no—
1418C22×C4—24no—
1419C22×C4—24no—
1420C22×C4—28no—
1421C22×C4—24no—
1422C22×C4—22no—
1423C22×C4—24no—
1424C22×C4—24no—
1425C22×C4—24no—
1426C22×C4—28no—
1427C22×C4—28no—
1428C22×C4—28no—
1429C22×C4—28no—
1430C22×C4—28no—
1431C22×C4—28no—
1432C22×C4—28no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—22no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—22no—
1439C22×C4—24no—
1440C22×C4—22no—
1441C22×C4—22no—
1442C22×C4—24no—
1443C22×C4—24no—
1444C22×C4—28no—
1445C22×C4—22no—
1446C22×C4—24no—
1447C22×C4—22no—
1448C22×C4—22no—
1449C22×C4—22no—
1450C22×C4—22no—
1451C22×C4—22no—
1452C22×C4—24no—
1453C22×C4—22no—
1454C22×C4—24no—
1455C22×C4—24no—
1456C22×C4—24no—
1457C22×C4—28no—
1458C22×C4—28no—
1459C22×C4—42no—
1460C22×C4—42no—
1461C22×C4—42no—
1462C22×C4—42no—
1463C22×C4—42no—
1464C22×C4—44no—
1465C22×C4—42no—
1466C22×C4—42no—
1467C22×C4—41no—
1468C22×C4—41no—
1469C22×C4—44no—
1470C22×C4—44no—
1471C22×C4—44no—
1472C22×C4—44no—
1473C22×C4—44no—
1474C22×C4—44no—
1475C22×C4—44no—
1476C22×C4—44no—
1477C22×C4—44no—
1478C22×C4—44no—
1479C22×C4—44no—
1480C22×C4—44no—
1481C22×C4—44no—
1482C22×C4—44no—
1483C22×C4—44no—
1484C22×C4—44no—
1485C22×C4—42no—
1486C22×C4—42no—
1487C22×C4—42no—
1488C22×C4—42no—
1489C22×C4—42no—
1490C22×C4—42no—
1491C22×C4—44no—
1492C22×C4—44no—
1493C22×C4—816no—
1494C22×C4—832no—
1495C22×C4C22×D418yes—
1496C22×C4C22×D418yes—
1497C22×C4C2×#4118yes—
1498C22×C4C2511yescharacteristic
1499C22×C4C2511yescharacteristic
1500C22×C4C2512yes—
1501C22×C4C2512yes—
1502C22×C4C2511yescharacteristic
1503C22×C4C2512yes—
1504C22×C4C2511yescharacteristic
1505C22×C4C2512yes—
1506C22×C4C2512yes—
1507C22×C4C2512yes—
1508C22×C4C2514yes—
1509C22×C4C2511yescharacteristic
1510C22×C4C2512yes—
1511C22×C4C2511yescharacteristic
1512C22×C4C2512yes—
1513C22×C4C2512yes—
1514C22×C4C2514yes—
1515C22×C4C2512yes—
1516C22×C4C2514yes—
1517C22×C4C2512yes—
1518C22×C4C2511yescharacteristic
1519C22×C4C2512yes—
1520C22×C4C2512yes—
1521C22×C4C2511yescharacteristic
1522C22×C4C2511yescharacteristic
1523C22×C4C2511yescharacteristic
1524C22×C4C2511yescharacteristic
1525C22×C4C2511yescharacteristic
1526C22×C4C2511yescharacteristic
1527C4⋊C4—22no—
1528C4⋊C4—22no—
1529C4⋊C4—22no—
1530C4⋊C4—22no—
1531C4⋊C4—24no—
1532C4⋊C4—24no—
1533C4⋊C4—24no—
1534C4⋊C4—28no—
1535C4⋊C4—28no—
1536C4⋊C4—24no—
1537C4⋊C4—28no—
1538C4⋊C4—24no—
1539C4⋊C4—24no—
1540C4⋊C4—24no—
1541C4⋊C4—24no—
1542C4⋊C4—24no—
1543C4⋊C4—24no—
1544C4⋊C4—24no—
1545C4⋊C4—28no—
1546C4⋊C4—28no—
1547C4⋊C4—24no—
1548C4⋊C4—28no—
1549C4⋊C4—24no—
1550C4⋊C4—24no—
1551C4⋊C4—24no—
1552C4⋊C4—24no—
1553C4⋊C4—22no—
1554C4⋊C4—24no—
1555C4⋊C4—22no—
1556C4⋊C4—28no—
1557C4⋊C4—24no—
1558C4⋊C4—24no—
1559C4⋊C4—28no—
1560C4⋊C4—22no—
1561C4⋊C4—22no—
1562C4⋊C4—24no—
1563C4⋊C4—22no—
1564C4⋊C4—44no—
1565C4⋊C4—44no—
1566C4⋊C4—44no—
1567C4⋊C4—44no—
1568C4⋊C4—44no—
1569C4⋊C4—44no—
1570C4⋊C4—44no—
1571C4⋊C4—42no—
1572C4⋊C4—42no—
1573C4⋊C4—44no—
1574C4⋊C4—42no—
1575C4⋊C4—44no—
1576C4⋊C4—44no—
1577C4⋊C4—44no—
1578C4⋊C4—42no—
1579C4⋊C4—41no—
1580C4⋊C4—42no—
1581C4⋊C4—42no—
1582C4⋊C4—44no—
1583C4⋊C4—42no—
1584C4⋊C4—44no—
1585C4⋊C4—42no—
1586C4⋊C4—42no—
1587C4⋊C4C22×D414yes—
1588C4⋊C4C22×D414yes—
1589C4⋊C4C2×#4114yes—
1590C22⋊C4—24no—
1591C22⋊C4—24no—
1592C22⋊C4—24no—
1593C22⋊C4—24no—
1594C22⋊C4—28no—
1595C22⋊C4—24no—
1596C22⋊C4—28no—
1597C22⋊C4—28no—
1598C22⋊C4—28no—
1599C22⋊C4—28no—
1600C22⋊C4—28no—
1601C22⋊C4—28no—
1602C22⋊C4—28no—
1603C22⋊C4—28no—
1604C22⋊C4—28no—
1605C22⋊C4—28no—
1606C22⋊C4—24no—
1607C22⋊C4—28no—
1608C22⋊C4—28no—
1609C22⋊C4—24no—
1610C22⋊C4—24no—
1611C22⋊C4—28no—
1612C22⋊C4—24no—
1613C22⋊C4—24no—
1614C22⋊C4—24no—
1615C22⋊C4—24no—
1616C22⋊C4—24no—
1617C22⋊C4—28no—
1618C22⋊C4—24no—
1619C22⋊C4—28no—
1620C22⋊C4—24no—
1621C22⋊C4—24no—
1622C22⋊C4—22no—
1623C22⋊C4—28no—
1624C22⋊C4—28no—
1625C22⋊C4—24no—
1626C22⋊C4—24no—
1627C22⋊C4—24no—
1628C22⋊C4—22no—
1629C22⋊C4—24no—
1630C22⋊C4—24no—
1631C22⋊C4—24no—
1632C22⋊C4—24no—
1633C22⋊C4—28no—
1634C22⋊C4—22no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
1637C22⋊C4—44no—
1638C22⋊C4—44no—
1639C22⋊C4—44no—
1640C22⋊C4—42no—
1641C22⋊C4—42no—
1642C22⋊C4—44no—
1643C22⋊C4—41no—
1644C22⋊C4—41no—
1645C22⋊C4—44no—
1646C22⋊C4—42no—
1647C22⋊C4—44no—
1648C22⋊C4—42no—
1649C22⋊C4—44no—
1650C22⋊C4—42no—
1651C22⋊C4—42no—
1652C22⋊C4—42no—
1653C22⋊C4C22×D418yes—
1654C22⋊C4C22×D418yes—
1655C22⋊C4C22×D4116yes—
1656C22⋊C4C2×#4118yes—
1657C22⋊C4H(5,𝔽2)14yes—
1658C42—22no—
1659C42—22no—
1660C42—22no—
1661C42—22no—
1662C42—24no—
1663C42—24no—
1664C42—24no—
1665C42—24no—
1666C42—22no—
1667C42—24no—
1668C42—24no—
1669C42—22no—
1670C42—28no—
1671C42—24no—
1672C42—28no—
1673C42—24no—
1674C42—22no—
1675C42—22no—
1676C42—22no—
1677C42—24no—
1678C42—22no—
1679C42—42no—
1680C42—42no—
1681C42—41no—
1682C42C22×D414yes—
1683C42C2×#4114yes—
1684C23—22no—
1685C23—22no—
1686C23—22no—
1687C23—22no—
1688C23—21no—
1689C23—22no—
1690C23—21no—
1691C23—24no—
1692C23—22no—
1693C23—24no—
1694C23—21no—
1695C23—22no—
1696C23—24no—
1697C23—21no—
1698C23—21no—
1699C23—24no—
1700C23—24no—
1701C23—22no—
1702C23—22no—
1703C23—22no—
1704C23—24no—
1705C23—21no—
1706C23—232no—
1707C23—21no—
1708C23—22no—
1709C23—22no—
1710C23—21no—
1711C23—22no—
1712C23—21no—
1713C23—21no—
1714C23—22no—
1715C23—21no—
1716C23—22no—
1717C23—21no—
1718C23—22no—
1719C23—22no—
1720C23—21no—
1721C23—416no—
1722C23—416no—
1723C23—48no—
1724C23—48no—
1725C23—48no—
1726C23—48no—
1727C23—84no—
1728C23—88no—
1729C23—84no—
1730C23—88no—
1731C23—88no—
1732C23—88no—
1733C23—84no—
1734C23C23×D414yes—
1735C23C23×D418yes—
1736C23C23×D414yes—
1737C23C22×#4114yes—
1738C23C2×H(5,𝔽2)12yes—
1739C23C2×2−1+414yes—
1740C23C2611yescharacteristic
1741Q8—44no—
1742Q8—44no—
1743Q8—44no—
1744Q8—84no—
1745Q8—84no—
1746D4—232no—
1747D4—216no—
1748D4—28no—
1749D4—216no—
1750D4—416no—
1751D4—48no—
1752D4—44no—
1753D4—48no—
1754D4—416no—
1755D4—48no—
1756D4—48no—
1757D4—48no—
1758D4—44no—
1759D4—84no—
1760D4—88no—
1761D4—88no—
1762D4—88no—
1763D4—88no—
1764D4#547116yescomplemented
1765C2×C4—21no—
1766C2×C4—22no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—22no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—22no—
1774C2×C4—21no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—22no—
1780C2×C4—21no—
1781C2×C4—216no—
1782C2×C4—216no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—24no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—24no—
1797C2×C4—22no—
1798C2×C4—24no—
1799C2×C4—22no—
1800C2×C4—21no—
1801C2×C4—22no—
1802C2×C4—21no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—24no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—24no—
1809C2×C4—21no—
1810C2×C4—24no—
1811C2×C4—22no—
1812C2×C4—21no—
1813C2×C4—22no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—21no—
1819C2×C4—22no—
1820C2×C4—24no—
1821C2×C4—21no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—21no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—21no—
1828C2×C4—22no—
1829C2×C4—21no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—21no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—24no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—21no—
1839C2×C4—24no—
1840C2×C4—48no—
1841C2×C4—44no—
1842C2×C4—48no—
1843C2×C4—48no—
1844C2×C4—48no—
1845C2×C4—416no—
1846C2×C4—44no—
1847C2×C4—48no—
1848C2×C4—48no—
1849C2×C4—44no—
1850C2×C4—44no—
1851C2×C4—44no—
1852C2×C4—48no—
1853C2×C4—44no—
1854C2×C4—88no—
1855C2×C4—88no—
1856C2×C4—84no—
1857C2×C4—84no—
1858C2×C4—88no—
1859C2×C4—88no—
1860C2×C4—88no—
1861C2×C4—88no—
1862C2×C4—84no—
1863C2×C4—88no—
1864C2×C4—88no—
1865C2×C4—88no—
1866C2×C4C23×D414yes—
1867C2×C4C23×D412yes—
1868C2×C4C23×D414yes—
1869C2×C4C23×D412yes—
1870C2×C4C23×D412yes—
1871C2×C4C22×#4114yes—
1872C2×C4C22×#4112yes—
1873C2×C4C22×#4112yes—
1874C2×C4C22×#4112yes—
1875C2×C4C2×H(5,𝔽2)12yes—
1876C2×C4C2×H(5,𝔽2)12yes—
1877C2×C4C2×2−1+412yes—
1878C2×C4#58512yes—
1879C2×C4#58512yes—
1880C22—24no—
1881C22—24no—
1882C22—24no—
1883C22—24no—
1884C22—24no—
1885C22—24no—
1886C22—28no—
1887C22—24no—
1888C22—22no—
1889C22—22no—
1890C22—24no—
1891C22—28no—
1892C22—22no—
1893C22—24no—
1894C22—28no—
1895C22—44no—
1896C22—42no—
1897C22—41no—
1898C22—44no—
1899C22—42no—
1900C22—41no—
1901C22—44no—
1902C22—42no—
1903C22—44no—
1904C22—41no—
1905C22—42no—
1906C22—41no—
1907C22—41no—
1908C22—42no—
1909C22—41no—
1910C22—42no—
1911C22—41no—
1912C22—42no—
1913C22—42no—
1914C22—41no—
1915C22—41no—
1916C22—42no—
1917C22—41no—
1918C22—42no—
1919C22—41no—
1920C22—42no—
1921C22—832no—
1922C22—816no—
1923C22C2×#54718yes—
1924C22C24×D411yescharacteristic
1925C22C23×#4111yescharacteristic
1926C22C22×H(5,𝔽2)11yescharacteristic
1927C22C22×2−1+411yescharacteristic
1928C22C2×#58511yescharacteristic
1929C22C2×#58511yescharacteristic
1930C22H(7,𝔽2)11yescharacteristic
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—24no—
1935C4—22no—
1936C4—24no—
1937C4—22no—
1938C4—24no—
1939C4—41no—
1940C4—42no—
1941C4—42no—
1942C4—44no—
1943C4—42no—
1944C4—44no—
1945C4—42no—
1946C4—42no—
1947C4—41no—
1948C4—41no—
1949C4—42no—
1950C4—42no—
1951C4—42no—
1952C4—42no—
1953C4—44no—
1954C4—41no—
1955C4—41no—
1956C4—41no—
1957C4—42no—
1958C4C2×#54714yes—
1959C4#348514yes—
1960C2—28no—
1961C2—48no—
1962C2—44no—
1963C2—42no—
1964C2—81no—
1965C2—82no—
1966C2C22×#54711yescharacteristic
1967C2C2×#348511yescharacteristic
1968C2#6280011yescharacteristic
1969C2#6295111yescharacteristic
1970C2D4×H(5,𝔽2)11yescharacteristic
1971C2#6299211yescharacteristic
1972C2#6301311yescharacteristic
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×#3519C2semidirect
2. C2×#3481C2semidirect
3. #59411C2semidirect
4. #59304C2semidirect
5. #59121C2semidirect
6. #59070C2semidirect
7. #59062C2semidirect
8. #59039C2semidirect
9. #59021C2semidirect
10. #58995C2semidirect
11. #45135C2semidirect
12. #45004C2semidirect
13. #43490C2semidirect
14. #43053C2semidirect
15. #39489C2semidirect
16. #39486C2semidirect
17. #38921C2semidirect
18. #38916C2semidirect
19. #37798C2semidirect
20. #37789C2semidirect
21. #36411C2semidirect
22. #36275C2semidirect
23. #36237C2semidirect
24. #36180C2semidirect
25. #36154C2semidirect
26. #36143C2semidirect
27. #36127C2semidirect
28. D4×#123C2semidirect
29. #35791C2semidirect
30. #35761C2semidirect
31. #34724C2semidirect
32. C2×#2422C2semidirect
33. #34310C2semidirect
34. #34248C2semidirect
35. C4×#546C2semidirect
38. C2×#559C22semidirect
42. C2×#554C22semidirect
45. C2×#553C22semidirect
46. C2×#553C22semidirect
47. C2×#551C22semidirect
49. C2×#547C22semidirect
54. C2×#546C22semidirect
60. C2×#532C22semidirect
62. C2×#529C22semidirect
63. C2×#529C22semidirect
65. C2×#525C22semidirect
66. C22×#123C22semidirect
71. C2×C4×#41C22semidirect
74. C22×C4×D4C22semidirect
75. #2868C22semidirect
76. #2857C22semidirect
77. #2857C22semidirect
78. #2857C22semidirect
79. #2855C22semidirect
80. #2854C22semidirect
81. #2849C22semidirect
82. #2848C22semidirect
83. #2724C22semidirect
84. #2722C22semidirect
85. #2718C22semidirect
86. #2718C22semidirect
87. #2718C22semidirect
88. #2717C22semidirect
89. #2708C22semidirect
90. #2708C22semidirect
91. #2706C22semidirect
92. #2701C22semidirect
93. #2701C22semidirect
94. #2701C22semidirect
95. #2698C22semidirect
96. #2695C22semidirect
97. #2686C22semidirect
98. #2682C22semidirect
99. #2680C22semidirect
100. #2674C22semidirect
101. #2674C22semidirect
102. #2671C22semidirect
103. #2671C22semidirect
104. #2625C22semidirect
105. #2622C22semidirect
106. #2620C22semidirect
107. #2617C22semidirect
108. #2582C22semidirect
109. #2567C22semidirect
110. #2567C22semidirect
111. #2567C22semidirect
112. #2563C22semidirect
113. #2553C22semidirect
114. #2552C22semidirect
115. #2552C22semidirect
116. #2552C22semidirect
117. #2547C22semidirect
118. #2544C22semidirect
119. #2538C22semidirect
120. #2537C22semidirect
121. #2537C22semidirect
122. #2537C22semidirect
123. #2534C22semidirect
124. #2502C22semidirect
125. #2502C22semidirect
126. #2501C22semidirect
127. #2501C22semidirect
128. #2499C22semidirect
129. #2496C22semidirect
130. #2489C22semidirect
131. #2487C22semidirect
132. #2487C22semidirect
133. #2486C22semidirect
134. #2485C22semidirect
135. #2483C22semidirect
136. #2478C22semidirect
137. #2478C22semidirect
138. #2474C22semidirect
139. #2470C22semidirect
140. #2470C22semidirect
141. #2468C22semidirect
142. #2466C22semidirect
143. #2466C22semidirect
144. #2461C22semidirect
145. #2455C22semidirect
146. #2454C22semidirect
147. #2453C22semidirect
148. #2453C22semidirect
149. #2450C22semidirect
150. #2449C22semidirect
151. #2447C22semidirect
152. #2447C22semidirect
153. #2447C22semidirect
154. #2447C22semidirect
155. #2447C22semidirect
156. #2445C22semidirect
157. #2445C22semidirect
158. #2444C22semidirect
159. #2443C22semidirect
160. #2443C22semidirect
161. #2443C22semidirect
162. #2443C22semidirect
163. #2443C22semidirect
164. #2442C22semidirect
165. #2441C22semidirect
166. #2441C22semidirect
167. #2441C22semidirect
168. #2441C22semidirect
169. #2440C22semidirect
170. #2440C22semidirect
171. #2438C22semidirect
172. #2437C22semidirect
173. #2432C22semidirect
174. #2432C22semidirect
175. #2432C22semidirect
176. #2432C22semidirect
177. #2430C22semidirect
178. #2429C22semidirect
179. #2428C22semidirect
180. #2427C22semidirect
181. #2427C22semidirect
182. #2427C22semidirect
183. #2425C22semidirect
184. #2425C22semidirect
185. #2425C22semidirect
186. #2424C22semidirect
189. #2422C22semidirect
190. #2422C22semidirect
191. #2422C22semidirect
192. #2422C22semidirect
193. #2422C22semidirect
194. #2422C22semidirect
195. #2422C22semidirect
196. #2422C22semidirect
197. #2422C22semidirect
198. #2422C22semidirect
199. #2422C22semidirect
200. #2422C22semidirect
201. #2422C22semidirect
202. #2422C22semidirect
203. #2422C22semidirect
204. #2420C22semidirect
205. #2419C22semidirect
206. #2419C22semidirect
207. #2419C22semidirect
208. #2419C22semidirect
209. #2418C22semidirect
210. #2418C22semidirect
211. #2417C22semidirect
212. #2417C22semidirect
213. #2416C22semidirect
214. #2415C22semidirect
215. #2415C22semidirect
216. #2414C22semidirect
217. #2413C22semidirect
218. #2412C22semidirect
219. #2412C22semidirect
220. #2412C22semidirect
221. #2410C22semidirect
223. #2407C22semidirect
224. #2407C22semidirect
225. #2406C22semidirect
226. #2405C22semidirect
227. #2395C22semidirect
228. #2392C22semidirect
229. C2×#397C22semidirect
230. C2×#394C22semidirect
231. #2367C22semidirect
232. #2366C22semidirect
233. #2364C22semidirect
234. #2363C22semidirect
235. #2363C22semidirect
236. #2362C22semidirect
237. #2361C22semidirect
238. #2360C22semidirect
239. #2359C22semidirect
240. #2359C22semidirect
241. #2358C22semidirect
242. #2358C22semidirect
243. #2354C22semidirect
244. #2354C22semidirect
245. #2352C22semidirect
248. #2349C22semidirect
249. #2349C22semidirect
250. #2349C22semidirect
251. #2349C22semidirect
256. D4×C4⋊C4C22semidirect
257. D4×C4⋊C4C22semidirect
258. D4×C4⋊C4C22semidirect
259. D4×C4⋊C4C22semidirect
260. D4×C4⋊C4C22semidirect
261. D4×C4⋊C4C22semidirect
262. #2342C22semidirect
265. #2339C22semidirect
266. #2339C22semidirect
270. D4×C22⋊C4C22semidirect
271. #2324C22semidirect
272. #2321C22semidirect
273. #2317C22semidirect
274. #2317C22semidirect
275. #2315C22semidirect
276. #2315C22semidirect
277. C4×C4⋊Q8C22semidirect
278. C4×#127C22semidirect
279. C4×#124C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×C22⋊Q8C22semidirect
283. C4×#123C22semidirect
284. C4×#123C22semidirect
285. C4×#121C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#120C22semidirect
289. #2296C22semidirect
290. #2296C22semidirect
291. #2293C22semidirect
292. C2×#390C22semidirect
293. C2×#389C22semidirect
294. C2×#385C22semidirect
295. C2×#385C22semidirect
296. C2×#384C22semidirect
297. C2×#380C22semidirect
299. C42×D4C22semidirect
300. C2×C4×C22⋊C4C22semidirect
330. D42D4semidirect
1065. C4×D4#41semidirect
1764. D4#547semidirect

Maximal subgroups

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

subgroupindex
C2×#35192
C2×#34812
#594112
#593042
#591212
#590702
#590622
#590392
#590212
#589952
#451352
#450042
#434902
#430532
#394892
#394862
#389212
#389162
#377982
#377892
#364112
#362752
#362372
#361802
#361542
#361432
#361272
D4×#1232
#357912
#357612
#347242
C2×#24222
#343102
#342482
C4×#5462