Finite Group Databasebeta

← #7657697

Subgroups — #7657697

Order 512.

7237 conjugacy classes of subgroups.

The subgroup lattice has 2026 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3514C211yesmaximal, characteristic, complemented
2C2×#3480C211yesmaximal, characteristic, complemented
3#42951C212yesmaximal, complemented
4#42950C212yesmaximal, complemented
5#42805C212yesmaximal, complemented
6#42804C212yesmaximal, complemented
7#42178C214yesmaximal, complemented
8#41995C214yesmaximal, complemented
9#40535C214yesmaximal, complemented
10#40534C214yesmaximal, complemented
11#39343C211yesmaximal, characteristic, complemented
12#39342C211yesmaximal, characteristic, complemented
13#39335C212yesmaximal, complemented
14#39334C212yesmaximal, complemented
15#38911C211yesmaximal, characteristic, complemented
16#38910C211yesmaximal, characteristic, complemented
17#38903C212yesmaximal, complemented
18#38902C212yesmaximal, complemented
19#37620C211yesmaximal, characteristic, complemented
20#37616C211yesmaximal, characteristic, complemented
21#37553C212yesmaximal, complemented
22#37546C212yesmaximal, complemented
23#36580C211yesmaximal, characteristic, complemented
24#36579C211yesmaximal, characteristic, complemented
25#36504C211yesmaximal, characteristic, complemented
26#36493C211yesmaximal, characteristic, complemented
27#36028C212yesmaximal, complemented
28#35830C212yesmaximal, complemented
29#35823C212yesmaximal, complemented
30#35808C212yesmaximal, complemented
31#35327C212yesmaximal, complemented
32#35273C211yesmaximal, characteristic, complemented
33#34614C211yesmaximal, characteristic, complemented
34#34614C212yesmaximal, complemented
35#34188C211yesmaximal, characteristic, complemented
36#3514—216no—
37#3480—216no—
38C2×#559C2211yescharacteristic
39C2×#559C2211yescharacteristic
40C2×#559C2212yescomplemented
41C2×#557C2211yescharacteristic, complemented
42C2×#556C2211yescharacteristic
43C2×#556C2211yescharacteristic, complemented
44C2×#556C2212yescomplemented
45C2×#555C2212yes—
46C2×#553C2211yescharacteristic
47C2×#553C2212yescomplemented
48C2×#553C2212yescomplemented
49C2×#553C2211yescharacteristic, complemented
50C2×#551C2214yes—
51C2×#550C2211yescharacteristic
52C2×D4×Q8C2211yescharacteristic
53C2×#548C2212yes—
54C2×#548C2211yescharacteristic
55C2×#548C2211yescharacteristic, complemented
56C2×#546C2212yes—
57C2×#546C2212yes—
58C2×D42C2211yescharacteristic
59C2×#542C2212yes—
60C2×#538C2214yes—
61C2×#537C2212yescomplemented
62C2×#536C2212yescomplemented
63C2×#535C2212yes—
64C2×#532C2211yescharacteristic
65C2×#532C2211yescharacteristic
66C2×#532C2212yescomplemented
67C2×#529C2212yes—
68C2×#529C2211yescharacteristic
69C2×#529C2211yescharacteristic
70C2×#529C2212yescomplemented
71C2×#529C2211yescharacteristic, complemented
72C2×#529C2212yescomplemented
73C22×#124C2212yes—
74C2×#518C2212yes—
75C2×C4×#41C2211yescharacteristic
76C2×C4×#41C2211yescharacteristic, complemented
77C2×C4×#41C2212yescomplemented
78C2×C4×#41C2211yescharacteristic, complemented
79C22×C4×Q8C2211yescharacteristic, complemented
80#2857C2211yescharacteristic, complemented
81#2857C2211yescharacteristic, complemented
82#2856C2211yescharacteristic
83#2856C2211yescharacteristic
84#2850C2212yes—
85#2850C2212yes—
86#2850C2212yescomplemented
87#2850C2212yescomplemented
88#2823C2214yescomplemented
89#2820C2214yescomplemented
90#2819C2214yescomplemented
91#2814C2214yescomplemented
92#2813C2214yescomplemented
93#2813C2214yescomplemented
94#2696C2214yescomplemented
95#2694C2214yescomplemented
96#2692C2214yescomplemented
97#2690C2214yescomplemented
98#2689C2214yescomplemented
99#2688C2214yescomplemented
100#2687C2214yescomplemented
101#2686C2214yescomplemented
102#2685C2214yes—
103#2684C2214yescomplemented
104#2678C2214yes—
105#2677C2214yescomplemented
106#2676C2214yescomplemented
107#2674C2214yescomplemented
108#2674C2214yescomplemented
109#2673C2214yescomplemented
110#2673C2214yescomplemented
111#2672C2214yescomplemented
112#2671C2214yescomplemented
113#2670C2214yes—
114#2669C2214yes—
115#2669C2214yescomplemented
116#2668C2214yescomplemented
117#2668C2214yescomplemented
118#2664C2214yescomplemented
119#2662C2214yescomplemented
120#2662C2214yescomplemented
121#2662C2214yescomplemented
122#2637C2214yescomplemented
123#2637C2212yescomplemented
124#2636C2212yescomplemented
125#2636C2214yescomplemented
126#2636C2214yescomplemented
127#2630C2214yescomplemented
128#2630C2212yescomplemented
129#2630C2212yescomplemented
130#2630C2214yescomplemented
131#2630C2214yescomplemented
132#2630C2214yescomplemented
133#2629C2212yescomplemented
134#2629C2211yescharacteristic, complemented
135#2629C2211yescharacteristic, complemented
136#2629C2212yescomplemented
137#2626C2214yescomplemented
138#2625C2212yescomplemented
139#2625C2211yescharacteristic, complemented
140#2624C2211yescharacteristic
141#2624C2212yes—
142#2620C2211yescharacteristic
143#2620C2211yescharacteristic
144#2620C2212yes—
145#2620C2212yescomplemented
146#2620C2212yescomplemented
147#2620C2212yescomplemented
148#2620C2212yescomplemented
149#2620C2212yescomplemented
150#2620C2212yescomplemented
151#2619C2212yescomplemented
152#2618C2214yescomplemented
153#2617C2214yescomplemented
154#2616C2212yescomplemented
155#2616C2211yescharacteristic, complemented
156#2615C2211yescharacteristic
157#2615C2212yes—
158#2601C2214yescomplemented
159#2601C2214yescomplemented
160#2592C2212yes—
161#2592C2212yescomplemented
162#2582C2211yescharacteristic, complemented
163#2581C2212yescomplemented
164#2580C2212yescomplemented
165#2568C2211yescharacteristic, complemented
166#2566C2212yescomplemented
167#2559C2214yescomplemented
168#2557C2214yescomplemented
169#2555C2214yescomplemented
170#2555C2214yescomplemented
171#2551C2212yescomplemented
172#2550C2212yescomplemented
173#2548C2211yescharacteristic
174#2545C2214yescomplemented
175#2545C2214yescomplemented
176#2544C2214yescomplemented
177#2544C2214yescomplemented
178#2544C2212yescomplemented
179#2542C2211yescharacteristic, complemented
180#2541C2212yes—
181#2541C2211yescharacteristic
182#2540C2212yes—
183#2540C2212yes—
184#2540C2212yescomplemented
185#2538C2211yescharacteristic
186#2538C2212yescomplemented
187#2538C2211yescharacteristic, complemented
188#2538C2212yescomplemented
189#2537C2211yescharacteristic
190#2537C2212yescomplemented
191#2537C2212yescomplemented
192#2536C2212yescomplemented
193#2535C2212yescomplemented
194#2534C2214yescomplemented
195#2534C2214yescomplemented
196#2534C2214yescomplemented
197#2534C2214yescomplemented
198#2521C2214yescomplemented
199#2492C2212yescomplemented
200#2491C2212yes—
201#2491C2212yescomplemented
202#2491C2214yescomplemented
203#2490C2212yes—
204#2481C2214yescomplemented
205#2480C2214yescomplemented
206#2479C2214yescomplemented
207#2472C2214yescomplemented
208#2471C2214yescomplemented
209#2469C2214yescomplemented
210#2468C2214yescomplemented
211#2467C2214yescomplemented
212#2464C2214yescomplemented
213#2464C2214yescomplemented
214#2461C2214yescomplemented
215#2458C2214yescomplemented
216#2457C2214yescomplemented
217#2456C2214yescomplemented
218#2448C2212yescomplemented
219#2448C2212yescomplemented
220#2447C2212yes—
221#2445C2212yes—
222#2443C2214yescomplemented
223#2436C2212yescomplemented
224#2435C2212yes—
225#2433C2212yes—
226#2431C2212yescomplemented
227#2428C2214yescomplemented
228#2424C2214yescomplemented
229#2423C2212yescomplemented
230#2422C2212yes—
231#2421C2212yescomplemented
232#2420C2212yes—
233#2418C2214yescomplemented
234#2417C2212yescomplemented
235#2417C2212yescomplemented
236#2416C2212yes—
237#2416C2212yescomplemented
238#2416C2212yescomplemented
239#2416C2212yescomplemented
240#2416C2212yescomplemented
241#2416C2212yescomplemented
242#2415C2212yescomplemented
243#2415C2212yescomplemented
244#2414C2212yes—
245#2414C2212yes—
246#2411C2214yescomplemented
247#2411C2214yescomplemented
248#2409C2212yescomplemented
249#2409C2212yescomplemented
250#2409C2212yescomplemented
251#2408C2212yes—
252#2408C2212yes—
253#2408C2212yes—
254#2408C2212yes—
255#2407C2212yescomplemented
256#2407C2212yescomplemented
257#2407C2212yescomplemented
258#2396C2212yescomplemented
259#2396C2214yescomplemented
260#2392C2214yescomplemented
261#2392C2212yescomplemented
262#2392C2214yescomplemented
263#2392C2214yescomplemented
264#2392C2212yescomplemented
265#2392C2212yescomplemented
266#2367C2212yescomplemented
267#2366C2212yescomplemented
268#2363C2212yescomplemented
269#2363C2212yescomplemented
270#2362C2212yescomplemented
271#2361C2212yescomplemented
272#2355C2212yescomplemented
273#2355C2211yescharacteristic, complemented
274#2355C2211yescharacteristic, complemented
275#2354C2211yescharacteristic
276#2354C2211yescharacteristic
277#2354C2212yes—
278#2354C2212yescomplemented
279#2352C2214yescomplemented
280#2352C2212yescomplemented
281#2352C2212yescomplemented
282#2352C2212yescomplemented
283#2314C2214yescomplemented
284#2311C2212yes—
285#2311C2212yescomplemented
286#2310C2212yescomplemented
287#2309C2212yes—
288C4×C22⋊Q8C2211yescharacteristic, complemented
289C4×C22⋊Q8C2212yescomplemented
290C4×C22⋊Q8C2212yescomplemented
291C4×C22⋊Q8C2211yescharacteristic, complemented
292C4×#121C2211yescharacteristic
293C4×#121C2211yescharacteristic
294C4×#121C2212yescomplemented
295C4×#121C2212yescomplemented
296#2285C2212yescomplemented
297#2285C2211yescharacteristic, complemented
298#2285C2212yescomplemented
299C2×#384C2211yescharacteristic, complemented
300#2274C2212yescomplemented
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2311yescharacteristic
305C22×#41C2311yescharacteristic
306C23×Q8C2312yes—
307C23×Q8C2311yescharacteristic
308C23×D4C2312yes—
309C23×D4C2312yes—
310#559—28no—
311#559—28no—
312#559—216no—
313#557—28no—
314#556—28no—
315#556—216no—
316#556—28no—
317#555—216no—
318#553—28no—
319#553—216no—
320#553—216no—
321#553—28no—
322#551—232no—
323#550—28no—
324D4×Q8—28no—
325#548—28no—
326#548—28no—
327#548—216no—
328#546—216no—
329#546—216no—
330D42—28no—
331#542—216no—
332#538—232no—
333#537—48no—
334#536—48no—
335#535—48no—
336#532—28no—
337#532—216no—
338#532—28no—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2314yes—
344C2×#127C2311yescharacteristic
345C2×#127C2312yes—
346C2×#127C2311yescharacteristic
347C2×#127C2312yes—
348C2×#127C2314yes—
349#529—28no—
350#529—216no—
351#529—216no—
352#529—28no—
353#529—216no—
354#529—28no—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2314yes—
360C2×#126C2312yes—
361C2×#126C2312yes—
362C2×#126C2312yes—
363C2×#126C2314yes—
364C2×#125C2312yes—
365C2×#125C2311yescharacteristic
366C2×#125C2311yescharacteristic
367C2×#125C2311yescharacteristic
368C2×#125C2312yes—
369C2×#124—216no—
370C2×#124C2312yes—
371C2×#124C2314yes—
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#124C2311yescharacteristic
375C2×#124C2312yes—
376C2×#124C2311yescharacteristic
377C2×#124C2314yes—
378C2×#124C2312yes—
379C2×#124C2311yescharacteristic
380C2×#124C2312yes—
381C2×#124C2312yes—
382C2×#124C2312yes—
383C2×#124C2314yes—
384C2×#124C2312yes—
385C2×#124C2312yes—
386C2×#124C2314yes—
387C2×#124C2314yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2314yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2314yes—
397C2×#123C2314yes—
398C2×#123C2314yes—
399C2×#123C2314yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2311yescharacteristic
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2314yes—
418C2×#121C2311yescharacteristic
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2311yescharacteristic
422C2×#121C2312yes—
423C2×#121C2311yescharacteristic
424C2×#121C2312yes—
425C2×#121C2311yescharacteristic
426C2×#121C2311yescharacteristic
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2314yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2311yescharacteristic
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2314yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2311yescharacteristic
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2314yes—
447C2×#121C2314yes—
448C2×#121C2314yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2314yes—
452C2×#120C2314yes—
453C2×#120C2314yes—
454C2×#120C2314yes—
455C2×#120C2314yes—
456C2×#120C2314yes—
457C2×#120C2314yes—
458#518—216no—
459C4×#41—28no—
460C4×#41—216no—
461C4×#41—28no—
462C4×#41D4116yescomplemented
463C2×C4×Q8—28no—
464C2×C4×Q8C2311yescharacteristic
465C2×C4×Q8C2312yes—
466C2×C4×Q8C2312yes—
467C2×C4×Q8C2311yescharacteristic
468C2×C4×Q8C2311yescharacteristic
469C2×C4×Q8C2311yescharacteristic
470C2×C4×Q8C2312yes—
471C2×C4×Q8C2312yes—
472C2×C4×Q8C2311yescharacteristic
473C2×C4×Q8C2311yescharacteristic
474C2×C4×Q8C2312yes—
475C2×C4×Q8C2311yescharacteristic
476C2×C4×Q8C2311yescharacteristic
477C2×C4×Q8C2311yescharacteristic
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2314yes—
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2312yes—
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2311yescharacteristic
498C2×C4×D4C2312yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2312yes—
501C2×C4×D4C2314yes—
502C2×C4×D4C2312yes—
503C2×C4×D4C2312yes—
504C2×C4×D4C2312yes—
505C2×C4×D4C2311yescharacteristic
506C2×C4×D4C2312yes—
507C2×C4×D4C2312yes—
508C2×C4×D4C2314yes—
509C2×C4×D4C2314yes—
510C2×C4×D4C2312yes—
511C2×C4×D4C2312yes—
512C2×C4×D4C2311yescharacteristic
513C2×C4×D4C2311yescharacteristic
514C2×#117C2312yes—
515C2×#117C2311yescharacteristic
516C2×#117C2314yes—
517C2×#117C2312yes—
518C2×#117C2311yescharacteristic
519C2×#117C2311yescharacteristic
520C2×#117C2311yescharacteristic
521C2×#117C2312yes—
522C2×#117C2312yes—
523C2×#117C2312yes—
524C2×#117C2312yes—
525C2×#117C2312yes—
526C2×#117C2312yes—
527C2×#117C2314yes—
528C2×#117C2312yes—
529C2×#117C2311yescharacteristic
530C22×C4⋊C4C2311yescharacteristic
531C22×C4⋊C4C2312yes—
532C22×C4⋊C4C2312yes—
533C22×C4⋊C4C2312yes—
534C22×C4⋊C4C2312yes—
535C22×C22⋊C4C2314yes—
536C22×C22⋊C4C2314yes—
537C22×C22⋊C4C2314yes—
538C22×C42C2312yes—
539C22×C42C2312yes—
540C22×C42C2311yescharacteristic
541C22×C42C2311yescharacteristic
542C22×C42C2312yes—
543C22×C42C2311yescharacteristic
544#400C2314yes—
545#400C2314yes—
546#400C2314yes—
547#400C2312yes—
548#399C2314yes—
549#399C2314yes—
550#399C2314yes—
551#399C2312yes—
552#399C2314yes—
553#399C2314yes—
554#398C2314yes—
555#398C2314yes—
556#398C2314yes—
557#398C2312yes—
558#398C2314yes—
559#398C2314yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2314yes—
565#397C2314yes—
566#397C2314yes—
567#397C2314yes—
568#397C2312yes—
569#397C2314yes—
570#397C2314yes—
571#397C2312yes—
572#397C2312yes—
573#397C2314yes—
574#397C2314yes—
575#397C2314yes—
576#396C2312yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#396C2314yes—
584#396C2314yes—
585#396C2314yes—
586#396C2314yes—
587#396C2312yes—
588#396C2314yes—
589#396C2314yes—
590#396C2314yes—
591#396C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2314yes—
595#396C2314yes—
596#396C2314yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#395C2314yes—
601#395C2314yes—
602#395C2314yes—
603#395C2314yes—
604#395C2312yes—
605#394C2312yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#394C2314yes—
613#394C2314yes—
614#394C2314yes—
615#394C2314yes—
616#394C2314yes—
617#394C2314yes—
618#394C2312yes—
619#394C2312yes—
620#394C2314yes—
621#394C2312yes—
622#394C2312yes—
623#394C2314yes—
624#394C2312yes—
625#394C2312yes—
626#394C2314yes—
627#394C2314yes—
628#394C2314yes—
629#394C2314yes—
630#394C2314yes—
631#394C2314yes—
632#394C2312yes—
633#394C2314yes—
634#394C2312yes—
635#394C2314yes—
636#394C2314yes—
637#394C2314yes—
638#394C2314yes—
639#394C2314yes—
640#394C2314yes—
641#393C2314yes—
642#393C2314yes—
643#393C2314yes—
644#393C2314yes—
645#393C2314yes—
646#393C2314yes—
647#393C2312yes—
648#392C2314yes—
649#392C2314yes—
650#392C2314yes—
651#392C2314yes—
652#392C2314yes—
653#392C2312yes—
654#392C2312yes—
655#392C2314yes—
656#392C2314yes—
657#392C2312yes—
658#392C2314yes—
659#392C2314yes—
660#392C2314yes—
661#392C2314yes—
662#392C2314yes—
663#392C2314yes—
664#391C2311yescharacteristic
665#391C2312yes—
666#391C2312yes—
667#391C2312yes—
668#391C2314yes—
669#391C2314yes—
670#391C2312yes—
671#391C2312yes—
672#391C2312yes—
673#391C2312yes—
674#391C2312yes—
675#391C2312yes—
676#391C2311yescharacteristic
677#390C2311yescharacteristic
678#390C2312yes—
679#390C2312yes—
680#390C2312yes—
681#390C2314yes—
682#390C2314yes—
683#390C2312yes—
684#390C2312yes—
685#390C2312yes—
686#390C2312yes—
687#390C2312yes—
688#390C2311yescharacteristic
689#390C2312yes—
690#390C2312yes—
691#390C2312yes—
692#390C2312yes—
693#390C2312yes—
694#390C2314yes—
695#390C2314yes—
696#390C2314yes—
697#390C2312yes—
698#390C2314yes—
699#390C2314yes—
700#390C2312yes—
701#390C2314yes—
702#389C2311yescharacteristic
703#389C2312yes—
704#389C2311yescharacteristic
705#389C2312yes—
706#389C2312yes—
707#389C2314yes—
708#389C2314yes—
709#389C2312yes—
710#389C2312yes—
711#389C2312yes—
712#389C2312yes—
713#389C2312yes—
714#389C2311yescharacteristic
715#389C2311yescharacteristic
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#388C2314yes—
736#388C2314yes—
737#388C2314yes—
738#388C2314yes—
739#388C2312yes—
740#388C2314yes—
741#388C2312yes—
742#387C2314yes—
743#387C2314yes—
744#387C2314yes—
745#387C2314yes—
746#387C2314yes—
747#387C2314yes—
748#387C2314yes—
749#387C2312yes—
750#387C2314yes—
751#387C2312yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2312yes—
773#386C2312yes—
774#386C2314yes—
775#386C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2312yes—
785#385C2312yes—
786#384C2312yes—
787#384C2312yes—
788#384C2311yescharacteristic
789#384C2311yescharacteristic
790#384C2312yes—
791#384C2312yes—
792#384C2311yescharacteristic
793#384C2311yescharacteristic
794#382C2314yes—
795#382C2312yes—
796#382C2312yes—
797#382C2312yes—
798#382C2312yes—
799#381C2314yes—
800#381C2314yes—
801#380C2314yes—
802#380C2314yes—
803#380C2314yes—
804#380C2314yes—
805#380C2312yes—
806#380C2312yes—
807#380C2312yes—
808#380C2312yes—
809#380C2311yescharacteristic
810#380C2311yescharacteristic
811#380C2312yes—
812#380C2312yes—
813#380C2312yes—
814#380C2314yes—
815#380C2312yes—
816#380C2312yes—
817#380C2311yescharacteristic
818#380C2311yescharacteristic
819#380C2312yes—
820#380C2311yescharacteristic
821#380C2311yescharacteristic
822#380C2312yes—
823#380C2314yes—
824#379C2314yes—
825#379C2314yes—
826#379C2314yes—
827#379C2314yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2311yescharacteristic
830C4×C4⋊C4C2314yes—
831C4×C4⋊C4C2314yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2314yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2312yes—
838C4×C4⋊C4C2312yes—
839C4×C4⋊C4C2311yescharacteristic
840C4×C4⋊C4C2314yes—
841C4×C4⋊C4C2314yes—
842C4×C4⋊C4C2312yes—
843C4×C4⋊C4C2312yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2312yes—
849C4×C22⋊C4C2312yes—
850C4×C22⋊C4C2314yes—
851C4×C22⋊C4C2312yes—
852C4×C22⋊C4C2314yes—
853C4×C22⋊C4C2314yes—
854C25C2414yes—
855C2×#41—24no—
856C2×#41—28no—
857C2×#41—24no—
858C2×#41—28no—
859C2×#41—28no—
860C2×#41—24no—
861C2×#41—44no—
862C2×#41—42no—
863C2×#41—42no—
864C2×#41—42no—
865C2×#41—42no—
866C2×#41—42no—
867C2×#41—44no—
868C2×#41—44no—
869C2×#41C2×D418yes—
870C22×Q8—24no—
871C22×Q8—28no—
872C22×Q8—42no—
873C22×Q8—42no—
874C22×Q8—44no—
875C22×Q8—44no—
876C22×Q8C2411yescharacteristic
877C22×Q8C2411yescharacteristic
878C22×Q8C2412yes—
879C22×Q8C2411yescharacteristic
880C22×Q8C2412yes—
881C22×Q8C2411yescharacteristic
882C22×Q8C2412yes—
883C22×Q8C2414yes—
884C22×D4—28no—
885C22×D4—28no—
886C22×D4—44no—
887C22×D4—44no—
888C22×D4—44no—
889C22×D4—44no—
890C22×D4C2412yes—
891C22×D4C2411yescharacteristic
892C22×D4C2411yescharacteristic
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2411yescharacteristic
897C22×D4C2411yescharacteristic
898C22×D4C2412yes—
899C22×D4C2411yescharacteristic
900C22×D4C2411yescharacteristic
901C22×D4C2414yes—
902C22×D4C2412yes—
903C22×D4C2412yes—
904C22×D4C2412yes—
905C22×D4C2412yes—
906C22×D4C2412yes—
907C22×D4C2412yes—
908C22×D4C2414yes—
909C22×D4C2412yes—
910C22×D4C2414yes—
911C22×D4C2414yes—
912C22×D4C2412yes—
913C22×D4C2414yes—
914C22×D4C2414yes—
915C22×D4C2414yes—
916C22×D4C2414yes—
917C22×D4C2412yes—
918C23×C4C2411yescharacteristic
919C23×C4C2412yes—
920C23×C4C2412yes—
921C23×C4C2411yescharacteristic
922C23×C4C2411yescharacteristic
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C23×C4C2412yes—
926C23×C4C2411yescharacteristic
927C23×C4C2414yes—
928C23×C4C2414yes—
929C23×C4C2414yes—
930C23×C4C2412yes—
931C23×C4C2411yescharacteristic
932C23×C4C2412yes—
933C23×C4C2412yes—
934C23×C4C2412yes—
935C23×C4C2411yescharacteristic
936C23×C4C2414yes—
937C23×C4C2412yes—
938C23×C4C2412yes—
939C23×C4C2411yescharacteristic
940C4⋊Q8—24no—
941C4⋊Q8—28no—
942C4⋊Q8—28no—
943C4⋊Q8—24no—
944C4⋊Q8—48no—
945#127—24no—
946#127—28no—
947#127—24no—
948#127—44no—
949#127—48no—
950#126—216no—
951#126—28no—
952#126—28no—
953#126—28no—
954#126—216no—
955#126—28no—
956#126—28no—
957#126—28no—
958#126—28no—
959#125—24no—
960#125—28no—
961#125—24no—
962#125—24no—
963#125—28no—
964#124—28no—
965#124—24no—
966#124—28no—
967#124—28no—
968#124—28no—
969#124—28no—
970#124—216no—
971#124—24no—
972#124—28no—
973#124—216no—
974#124—28no—
975#124—28no—
976#124—216no—
977#124—24no—
978#124—28no—
979#124—44no—
980#124—48no—
981#124—48no—
982#123—28no—
983#123—216no—
984#123—28no—
985#123—28no—
986#123—28no—
987#123—216no—
988#123—216no—
989#123—28no—
990#123—28no—
991#123—28no—
992#123—48no—
993#123—48no—
994C22⋊Q8—28no—
995C22⋊Q8—28no—
996C22⋊Q8—24no—
997C22⋊Q8—24no—
998C22⋊Q8—28no—
999C22⋊Q8—24no—
1000C22⋊Q8—28no—
1001C22⋊Q8—24no—
1002C22⋊Q8—28no—
1003C22⋊Q8—216no—
1004C22⋊Q8—216no—
1005C22⋊Q8—48no—
1006C22⋊Q8—44no—
1007C22⋊Q8—42no—
1008C22⋊Q8—44no—
1009C22⋊Q8—44no—
1010C22⋊Q8—44no—
1011C22⋊Q8—44no—
1012#121—24no—
1013#121—28no—
1014#121—24no—
1015#121—28no—
1016#121—216no—
1017#121—28no—
1018#121—24no—
1019#121—24no—
1020#121—28no—
1021#121—28no—
1022#121—28no—
1023#121—24no—
1024#121—28no—
1025#121—24no—
1026#121—28no—
1027#121—28no—
1028#121—28no—
1029#121—28no—
1030#121—28no—
1031#121—216no—
1032#121—48no—
1033#121—48no—
1034#121—48no—
1035#121—44no—
1036#121—44no—
1037#121—44no—
1038#121—44no—
1039#121—42no—
1040#121—44no—
1041#121—44no—
1042#121—44no—
1043#121—82no—
1044#121—84no—
1045#121—82no—
1046#120—216no—
1047#120—216no—
1048#120—48no—
1049#120—48no—
1050#120—84no—
1051#120—84no—
1052C4×Q8—24no—
1053C4×Q8—24no—
1054C4×Q8—24no—
1055C4×Q8—28no—
1056C4×Q8—28no—
1057C4×Q8—24no—
1058C4×Q8—28no—
1059C4×Q8—24no—
1060C4×Q8—24no—
1061C4×Q8—28no—
1062C4×Q8—28no—
1063C4×Q8—24no—
1064C4×Q8C2×D418yes—
1065C4×Q8C2×D418yes—
1066C4×D4—28no—
1067C4×D4—24no—
1068C4×D4—28no—
1069C4×D4—24no—
1070C4×D4—28no—
1071C4×D4—28no—
1072C4×D4—24no—
1073C4×D4—28no—
1074C4×D4—24no—
1075C4×D4—216no—
1076C4×D4—28no—
1077C4×D4—28no—
1078C4×D4—28no—
1079C4×D4—28no—
1080C4×D4—24no—
1081C4×D4—28no—
1082C4×D4—28no—
1083C4×D4—216no—
1084C4×D4—28no—
1085C4×D4—24no—
1086C4×D4—24no—
1087C4×D4—28no—
1088C4×D4—28no—
1089C4×D4—24no—
1090C4×D4—28no—
1091C4×D4—24no—
1092C4×D4—28no—
1093C4×D4—28no—
1094C4×D4—44no—
1095C4×D4—44no—
1096C4×D4—84no—
1097C4×D4—84no—
1098C4×D4C2×D418yes—
1099C4×D4C2×D418yes—
1100C4×D4C2×D4116yes—
1101C4×D4C2×D4116yes—
1102#117—28no—
1103#117—24no—
1104#117—24no—
1105#117—28no—
1106#117—28no—
1107#117—24no—
1108#117—24no—
1109#117—28no—
1110#117—28no—
1111#117—216no—
1112#117—44no—
1113#117—44no—
1114#117—44no—
1115#117—84no—
1116#117C2×D4116yes—
1117#117C2×D418yes—
1118C2×C4⋊C4—24no—
1119C2×C4⋊C4—28no—
1120C2×C4⋊C4—44no—
1121C2×C4⋊C4—44no—
1122C2×C4⋊C4—82no—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2411yescharacteristic
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2411yescharacteristic
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2411yescharacteristic
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2411yescharacteristic
1152C2×C4⋊C4C2411yescharacteristic
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2411yescharacteristic
1160C2×C4⋊C4C2414yes—
1161C2×C4⋊C4C2411yescharacteristic
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2414yes—
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2414yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2412yes—
1171C2×C4⋊C4C2412yes—
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2412yes—
1174C2×C4⋊C4C2412yes—
1175C2×C4⋊C4C2414yes—
1176C2×C4⋊C4C2414yes—
1177C2×C4⋊C4C2414yes—
1178C2×C4⋊C4C2414yes—
1179C2×C4⋊C4C2414yes—
1180C2×C4⋊C4C2412yes—
1181C2×C4⋊C4C2412yes—
1182C2×C4⋊C4C2412yes—
1183C2×C4⋊C4C2411yescharacteristic
1184C2×C4⋊C4C2412yes—
1185C2×C4⋊C4C2411yescharacteristic
1186C2×C4⋊C4C2412yes—
1187C2×C22⋊C4—216no—
1188C2×C22⋊C4—216no—
1189C2×C22⋊C4—216no—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2411yescharacteristic
1201C2×C22⋊C4C2411yescharacteristic
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2411yescharacteristic
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2411yescharacteristic
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2411yescharacteristic
1211C2×C22⋊C4C2411yescharacteristic
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2412yes—
1249C2×C22⋊C4C2414yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2414yes—
1254C2×C22⋊C4C2414yes—
1255C2×C22⋊C4C2412yes—
1256C2×C22⋊C4C2414yes—
1257C2×C22⋊C4C2414yes—
1258C2×C22⋊C4C2414yes—
1259C2×C22⋊C4C2414yes—
1260C2×C22⋊C4C2412yes—
1261C2×C22⋊C4C2412yes—
1262C2×C22⋊C4C2414yes—
1263C2×C22⋊C4C2412yes—
1264C2×C22⋊C4C2412yes—
1265C2×C22⋊C4C2412yes—
1266C2×C42—28no—
1267C2×C42—24no—
1268C2×C42—28no—
1269C2×C42—24no—
1270C2×C42C2×D4116yes—
1271C2×C42C2×D418yes—
1272C2×C42C2411yescharacteristic
1273C2×C42C2412yes—
1274C2×C42C2411yescharacteristic
1275C2×C42C2414yes—
1276C2×C42C2412yes—
1277C2×C42C2411yescharacteristic
1278C2×C42C2412yes—
1279C2×C42C2412yes—
1280C2×C42C2412yes—
1281C2×C42C2411yescharacteristic
1282C2×C42C2412yes—
1283C2×C42C2412yes—
1284C2×C42C2411yescharacteristic
1285C2×C42C2411yescharacteristic
1286C2×C42C2412yes—
1287C2×C42C2414yes—
1288C2×C42C2414yes—
1289C2×C42C2414yes—
1290C2×C42C2414yes—
1291C2×C42C2412yes—
1292C2×C42C2411yescharacteristic
1293C2×C42C2411yescharacteristic
1294C2×C42C2411yescharacteristic
1295C2×C42C2412yes—
1296C2×C42C2411yescharacteristic
1297C2×C42C2412yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2412yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2414yes—
1312#95C2412yes—
1313#95C2412yes—
1314#95C2414yes—
1315#95C2412yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2412yes—
1319#95C2412yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2412yes—
1323#95C2412yes—
1324#95C2414yes—
1325#95C2414yes—
1326#95C2412yes—
1327#95C2412yes—
1328#95C2414yes—
1329#95C2412yes—
1330#95C2414yes—
1331#95C2414yes—
1332#95C2414yes—
1333#95C2414yes—
1334#95C2414yes—
1335#95C2414yes—
1336C24—28no—
1337C24—44no—
1338C24—44no—
1339C24—44no—
1340C24—44no—
1341C24—44no—
1342C24—44no—
1343C24C2512yes—
1344C24C2514yes—
1345C24C2511yescharacteristic
1346C24C2512yes—
1347C24C2512yes—
1348C24C2511yescharacteristic
1349C24C2511yescharacteristic
1350#41—432no—
1351#41—416no—
1352#41—416no—
1353#41—416no—
1354#41—816no—
1355C2×Q8—24no—
1356C2×Q8—22no—
1357C2×Q8—22no—
1358C2×Q8—24no—
1359C2×Q8—22no—
1360C2×Q8—24no—
1361C2×Q8—28no—
1362C2×Q8—22no—
1363C2×Q8—24no—
1364C2×Q8—22no—
1365C2×Q8—24no—
1366C2×Q8—22no—
1367C2×Q8—22no—
1368C2×Q8—22no—
1369C2×Q8—22no—
1370C2×Q8—24no—
1371C2×Q8—22no—
1372C2×Q8—42no—
1373C2×Q8—42no—
1374C2×Q8—41no—
1375C2×Q8—42no—
1376C2×Q8—44no—
1377C2×Q8—44no—
1378C2×Q8—416no—
1379C2×Q8—816no—
1380C2×Q8C22×D414yes—
1381C2×D4—28no—
1382C2×D4—24no—
1383C2×D4—22no—
1384C2×D4—24no—
1385C2×D4—22no—
1386C2×D4—24no—
1387C2×D4—22no—
1388C2×D4—22no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—24no—
1392C2×D4—24no—
1393C2×D4—24no—
1394C2×D4—28no—
1395C2×D4—24no—
1396C2×D4—28no—
1397C2×D4—22no—
1398C2×D4—24no—
1399C2×D4—24no—
1400C2×D4—24no—
1401C2×D4—22no—
1402C2×D4—22no—
1403C2×D4—24no—
1404C2×D4—24no—
1405C2×D4—28no—
1406C2×D4—24no—
1407C2×D4—22no—
1408C2×D4—24no—
1409C2×D4—22no—
1410C2×D4—22no—
1411C2×D4—22no—
1412C2×D4—24no—
1413C2×D4—22no—
1414C2×D4—22no—
1415C2×D4—24no—
1416C2×D4—24no—
1417C2×D4—22no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—41no—
1421C2×D4—42no—
1422C2×D4—42no—
1423C2×D4—41no—
1424C2×D4—42no—
1425C2×D4—42no—
1426C2×D4—42no—
1427C2×D4—42no—
1428C2×D4—42no—
1429C2×D4—41no—
1430C2×D4—42no—
1431C2×D4—42no—
1432C2×D4—44no—
1433C2×D4—44no—
1434C2×D4—42no—
1435C2×D4—42no—
1436C2×D4—42no—
1437C2×D4—44no—
1438C2×D4—42no—
1439C2×D4—44no—
1440C2×D4—44no—
1441C2×D4—42no—
1442C2×D4—42no—
1443C2×D4—42no—
1444C2×D4—44no—
1445C2×D4—44no—
1446C2×D4—44no—
1447C2×D4—42no—
1448C2×D4—42no—
1449C2×D4—42no—
1450C2×D4—42no—
1451C2×D4—42no—
1452C2×D4—42no—
1453C2×D4—44no—
1454C2×D4—44no—
1455C2×D4—44no—
1456C2×D4—44no—
1457C2×D4—44no—
1458C2×D4—44no—
1459C2×D4—44no—
1460C2×D4—44no—
1461C2×D4—44no—
1462C2×D4—44no—
1463C2×D4—432no—
1464C2×D4—816no—
1465C2×D4C22×D414yes—
1466C2×D4C22×D418yes—
1467C22×C4—22no—
1468C22×C4—22no—
1469C22×C4—24no—
1470C22×C4—22no—
1471C22×C4—22no—
1472C22×C4—24no—
1473C22×C4—22no—
1474C22×C4—22no—
1475C22×C4—28no—
1476C22×C4—24no—
1477C22×C4—22no—
1478C22×C4—24no—
1479C22×C4—22no—
1480C22×C4—24no—
1481C22×C4—22no—
1482C22×C4—24no—
1483C22×C4—24no—
1484C22×C4—22no—
1485C22×C4—24no—
1486C22×C4—22no—
1487C22×C4—22no—
1488C22×C4—22no—
1489C22×C4—22no—
1490C22×C4—24no—
1491C22×C4—24no—
1492C22×C4—22no—
1493C22×C4—24no—
1494C22×C4—22no—
1495C22×C4—24no—
1496C22×C4—22no—
1497C22×C4—28no—
1498C22×C4—28no—
1499C22×C4—41no—
1500C22×C4—42no—
1501C22×C4—42no—
1502C22×C4—41no—
1503C22×C4—42no—
1504C22×C4—42no—
1505C22×C4—42no—
1506C22×C4—42no—
1507C22×C4—42no—
1508C22×C4—42no—
1509C22×C4—42no—
1510C22×C4—42no—
1511C22×C4—44no—
1512C22×C4—44no—
1513C22×C4—41no—
1514C22×C4—41no—
1515C22×C4—44no—
1516C22×C4—42no—
1517C22×C4—42no—
1518C22×C4—44no—
1519C22×C4—41no—
1520C22×C4—41no—
1521C22×C4—44no—
1522C22×C4—44no—
1523C22×C4—44no—
1524C22×C4—44no—
1525C22×C4—44no—
1526C22×C4C22×D418yes—
1527C22×C4C22×D414yes—
1528C22×C4C22×D414yes—
1529C22×C4C22×D418yes—
1530C22×C4C22×D418yes—
1531C22×C4C22×D414yes—
1532C22×C4H(5,𝔽2)14yes—
1533C22×C4C2512yes—
1534C22×C4C2512yes—
1535C22×C4C2512yes—
1536C22×C4C2514yes—
1537C22×C4C2511yescharacteristic
1538C22×C4C2511yescharacteristic
1539C22×C4C2512yes—
1540C22×C4C2511yescharacteristic
1541C22×C4C2512yes—
1542C22×C4C2514yes—
1543C22×C4C2512yes—
1544C22×C4C2511yescharacteristic
1545C22×C4C2512yes—
1546C22×C4C2512yes—
1547C22×C4C2512yes—
1548C22×C4C2514yes—
1549C22×C4C2512yes—
1550C22×C4C2511yescharacteristic
1551C22×C4C2512yes—
1552C22×C4C2512yes—
1553C22×C4C2512yes—
1554C22×C4C2511yescharacteristic
1555C22×C4C2511yescharacteristic
1556C22×C4C2511yescharacteristic
1557C22×C4C2511yescharacteristic
1558C22×C4C2511yescharacteristic
1559C22×C4C2511yescharacteristic
1560C22×C4C2511yescharacteristic
1561C4⋊C4—24no—
1562C4⋊C4—22no—
1563C4⋊C4—24no—
1564C4⋊C4—24no—
1565C4⋊C4—24no—
1566C4⋊C4—24no—
1567C4⋊C4—22no—
1568C4⋊C4—22no—
1569C4⋊C4—24no—
1570C4⋊C4—24no—
1571C4⋊C4—24no—
1572C4⋊C4—24no—
1573C4⋊C4—22no—
1574C4⋊C4—22no—
1575C4⋊C4—24no—
1576C4⋊C4—24no—
1577C4⋊C4—22no—
1578C4⋊C4—22no—
1579C4⋊C4—24no—
1580C4⋊C4—22no—
1581C4⋊C4—24no—
1582C4⋊C4—28no—
1583C4⋊C4—22no—
1584C4⋊C4—22no—
1585C4⋊C4—24no—
1586C4⋊C4—24no—
1587C4⋊C4—24no—
1588C4⋊C4—24no—
1589C4⋊C4—28no—
1590C4⋊C4—24no—
1591C4⋊C4—24no—
1592C4⋊C4—24no—
1593C4⋊C4—22no—
1594C4⋊C4—22no—
1595C4⋊C4—28no—
1596C4⋊C4—24no—
1597C4⋊C4—24no—
1598C4⋊C4—24no—
1599C4⋊C4—22no—
1600C4⋊C4—22no—
1601C4⋊C4—44no—
1602C4⋊C4—44no—
1603C4⋊C4—44no—
1604C4⋊C4—42no—
1605C4⋊C4—42no—
1606C4⋊C4—42no—
1607C4⋊C4—42no—
1608C4⋊C4—42no—
1609C4⋊C4—42no—
1610C4⋊C4—42no—
1611C4⋊C4—42no—
1612C4⋊C4—42no—
1613C4⋊C4—42no—
1614C4⋊C4—44no—
1615C4⋊C4—44no—
1616C4⋊C4—44no—
1617C4⋊C4—42no—
1618C4⋊C4—44no—
1619C4⋊C4—44no—
1620C4⋊C4—44no—
1621C4⋊C4C22×D414yes—
1622C4⋊C4C22×D418yes—
1623C4⋊C4C22×D414yes—
1624C4⋊C4C22×D418yes—
1625C22⋊C4—28no—
1626C22⋊C4—24no—
1627C22⋊C4—22no—
1628C22⋊C4—24no—
1629C22⋊C4—22no—
1630C22⋊C4—24no—
1631C22⋊C4—24no—
1632C22⋊C4—24no—
1633C22⋊C4—24no—
1634C22⋊C4—28no—
1635C22⋊C4—24no—
1636C22⋊C4—24no—
1637C22⋊C4—28no—
1638C22⋊C4—24no—
1639C22⋊C4—24no—
1640C22⋊C4—28no—
1641C22⋊C4—28no—
1642C22⋊C4—28no—
1643C22⋊C4—28no—
1644C22⋊C4—28no—
1645C22⋊C4—22no—
1646C22⋊C4—22no—
1647C22⋊C4—24no—
1648C22⋊C4—22no—
1649C22⋊C4—24no—
1650C22⋊C4—24no—
1651C22⋊C4—24no—
1652C22⋊C4—22no—
1653C22⋊C4—24no—
1654C22⋊C4—28no—
1655C22⋊C4—24no—
1656C22⋊C4—28no—
1657C22⋊C4—24no—
1658C22⋊C4—24no—
1659C22⋊C4—24no—
1660C22⋊C4—24no—
1661C22⋊C4—28no—
1662C22⋊C4—42no—
1663C22⋊C4—44no—
1664C22⋊C4—42no—
1665C22⋊C4—42no—
1666C22⋊C4—42no—
1667C22⋊C4—44no—
1668C22⋊C4—44no—
1669C22⋊C4—44no—
1670C22⋊C4—44no—
1671C22⋊C4—42no—
1672C22⋊C4—42no—
1673C22⋊C4—42no—
1674C22⋊C4—42no—
1675C22⋊C4—42no—
1676C22⋊C4—44no—
1677C22⋊C4—44no—
1678C22⋊C4—44no—
1679C22⋊C4—44no—
1680C22⋊C4—44no—
1681C22⋊C4—42no—
1682C22⋊C4—44no—
1683C22⋊C4—44no—
1684C22⋊C4—44no—
1685C22⋊C4—44no—
1686C22⋊C4—42no—
1687C22⋊C4—44no—
1688C22⋊C4—44no—
1689C22⋊C4—44no—
1690C22⋊C4—44no—
1691C22⋊C4—44no—
1692C22⋊C4—42no—
1693C22⋊C4—44no—
1694C22⋊C4—44no—
1695C22⋊C4—44no—
1696C22⋊C4—44no—
1697C22⋊C4—44no—
1698C22⋊C4C22×D418yes—
1699C22⋊C4C22×D418yes—
1700C22⋊C4C22×D418yes—
1701C42—22no—
1702C42—24no—
1703C42—22no—
1704C42—24no—
1705C42—22no—
1706C42—24no—
1707C42—22no—
1708C42—24no—
1709C42—22no—
1710C42—24no—
1711C42—22no—
1712C42—28no—
1713C42—24no—
1714C42—24no—
1715C42—24no—
1716C42—44no—
1717C42—44no—
1718C42—44no—
1719C42—44no—
1720C42C22×D418yes—
1721C42C22×D414yes—
1722C42C22×D414yes—
1723C42C22×D418yes—
1724C42C22×D414yes—
1725C42C22×D414yes—
1726C42C22×D418yes—
1727C23—21no—
1728C23—22no—
1729C23—21no—
1730C23—21no—
1731C23—21no—
1732C23—21no—
1733C23—21no—
1734C23—22no—
1735C23—21no—
1736C23—21no—
1737C23—22no—
1738C23—22no—
1739C23—22no—
1740C23—21no—
1741C23—21no—
1742C23—21no—
1743C23—21no—
1744C23—22no—
1745C23—22no—
1746C23—22no—
1747C23—21no—
1748C23—24no—
1749C23—24no—
1750C23—22no—
1751C23—22no—
1752C23—21no—
1753C23—21no—
1754C23—22no—
1755C23—21no—
1756C23—22no—
1757C23—22no—
1758C23—22no—
1759C23—24no—
1760C23—24no—
1761C23—24no—
1762C23—22no—
1763C23—21no—
1764C23—22no—
1765C23—24no—
1766C23—22no—
1767C23—22no—
1768C23—21no—
1769C23—21no—
1770C23—24no—
1771C23—22no—
1772C23—22no—
1773C23—416no—
1774C23—88no—
1775C23—88no—
1776C23—164no—
1777C23—164no—
1778C23—164no—
1779C23—164no—
1780C23C23×D414yes—
1781C23C23×D412yes—
1782C23C2×H(5,𝔽2)12yes—
1783C23C2611yescharacteristic
1784Q8—28no—
1785Q8—44no—
1786Q8—48no—
1787Q8—48no—
1788Q8—44no—
1789Q8—44no—
1790Q8—48no—
1791Q8—88no—
1792D4—28no—
1793D4—48no—
1794D4—44no—
1795D4—48no—
1796D4—48no—
1797D4—44no—
1798D4—48no—
1799D4—48no—
1800D4—44no—
1801D4—416no—
1802D4—48no—
1803D4—44no—
1804D4—44no—
1805D4—48no—
1806D4—84no—
1807D4—88no—
1808D4—84no—
1809D4—84no—
1810D4—84no—
1811D4—84no—
1812D4—84no—
1813D4—88no—
1814D4—88no—
1815D4—84no—
1816D4—88no—
1817D4—164no—
1818D4—164no—
1819D4—164no—
1820C2×C4—21no—
1821C2×C4—22no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—22no—
1827C2×C4—21no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—22no—
1835C2×C4—21no—
1836C2×C4—28no—
1837C2×C4—216no—
1838C2×C4—28no—
1839C2×C4—28no—
1840C2×C4—21no—
1841C2×C4—21no—
1842C2×C4—21no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—21no—
1847C2×C4—21no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—24no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—24no—
1855C2×C4—24no—
1856C2×C4—24no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—21no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—21no—
1865C2×C4—21no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—22no—
1869C2×C4—24no—
1870C2×C4—24no—
1871C2×C4—21no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—21no—
1875C2×C4—22no—
1876C2×C4—21no—
1877C2×C4—22no—
1878C2×C4—24no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—24no—
1883C2×C4—24no—
1884C2×C4—21no—
1885C2×C4—21no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—21no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—21no—
1894C2×C4—48no—
1895C2×C4—44no—
1896C2×C4—48no—
1897C2×C4—48no—
1898C2×C4—48no—
1899C2×C4—48no—
1900C2×C4—44no—
1901C2×C4—44no—
1902C2×C4—48no—
1903C2×C4—44no—
1904C2×C4—84no—
1905C2×C4—88no—
1906C2×C4—84no—
1907C2×C4—82no—
1908C2×C4—82no—
1909C2×C4—88no—
1910C2×C4—88no—
1911C2×C4—164no—
1912C2×C4C23×D414yes—
1913C2×C4C23×D414yes—
1914C2×C4C23×D412yes—
1915C2×C4C23×D412yes—
1916C2×C4C23×D412yes—
1917C2×C4C23×D412yes—
1918C2×C4C23×D414yes—
1919C2×C4C23×D412yes—
1920C2×C4C23×D412yes—
1921C2×C4C2×H(5,𝔽2)12yes—
1922C2×C4C2×H(5,𝔽2)12yes—
1923C2×C4#58512yes—
1924C2×C4#58512yes—
1925C2×C4#58512yes—
1926C22—24no—
1927C22—22no—
1928C22—22no—
1929C22—22no—
1930C22—24no—
1931C22—22no—
1932C22—22no—
1933C22—24no—
1934C22—22no—
1935C22—41no—
1936C22—41no—
1937C22—42no—
1938C22—41no—
1939C22—41no—
1940C22—42no—
1941C22—41no—
1942C22—41no—
1943C22—42no—
1944C22—41no—
1945C22—41no—
1946C22—42no—
1947C22—42no—
1948C22—41no—
1949C22—44no—
1950C22—42no—
1951C22—42no—
1952C22—41no—
1953C22—44no—
1954C22—42no—
1955C22—42no—
1956C22—42no—
1957C22—44no—
1958C22—41no—
1959C22—41no—
1960C22—42no—
1961C22—44no—
1962C22—42no—
1963C22—42no—
1964C22—41no—
1965C22—42no—
1966C22—44no—
1967C22—44no—
1968C22—41no—
1969C22—42no—
1970C22—42no—
1971C22—42no—
1972C22—41no—
1973C22—44no—
1974C22—42no—
1975C22—1616no—
1976C22C24×D411yescharacteristic
1977C22C22×H(5,𝔽2)11yescharacteristic
1978C22C2×#58511yescharacteristic
1979C22C2×#58511yescharacteristic
1980C22C2×#58511yescharacteristic
1981C22H(7,𝔽2)11yescharacteristic
1982C222−1+611yescharacteristic
1983C4—22no—
1984C4—24no—
1985C4—22no—
1986C4—22no—
1987C4—24no—
1988C4—22no—
1989C4—22no—
1990C4—24no—
1991C4—42no—
1992C4—41no—
1993C4—44no—
1994C4—42no—
1995C4—41no—
1996C4—42no—
1997C4—41no—
1998C4—42no—
1999C4—42no—
2000C4—42no—
2001C4—42no—
2002C4—42no—
2003C4—41no—
2004C4—42no—
2005C4—41no—
2006C4—42no—
2007C4—44no—
2008C4—44no—
2009C4#344914yes—
2010C4#348814yes—
2011C2—42no—
2012C2—42no—
2013C2—44no—
2014C2—82no—
2015C2—81no—
2016C2—84no—
2017C2—82no—
2018C2C2×#344911yescharacteristic
2019C2C2×#348811yescharacteristic
2020C2#6285311yescharacteristic
2021C2#6293111yescharacteristic
2022C2#6293811yescharacteristic
2023C2#6296111yescharacteristic
2024C2#6296811yescharacteristic
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×#3514C2semidirect
2. C2×#3480C2semidirect
3. #42951C2semidirect
4. #42950C2semidirect
5. #42805C2semidirect
6. #42804C2semidirect
7. #42178C2semidirect
8. #41995C2semidirect
9. #40535C2semidirect
10. #40534C2semidirect
11. #39343C2semidirect
12. #39342C2semidirect
13. #39335C2semidirect
14. #39334C2semidirect
15. #38911C2semidirect
16. #38910C2semidirect
17. #38903C2semidirect
18. #38902C2semidirect
19. #37620C2semidirect
20. #37616C2semidirect
21. #37553C2semidirect
22. #37546C2semidirect
23. #36580C2semidirect
24. #36579C2semidirect
25. #36504C2semidirect
26. #36493C2semidirect
27. #36028C2semidirect
28. #35830C2semidirect
29. #35823C2semidirect
30. #35808C2semidirect
31. #35327C2semidirect
32. #35273C2semidirect
33. #34614C2semidirect
34. #34614C2semidirect
35. #34188C2semidirect
40. C2×#559C22semidirect
41. C2×#557C22semidirect
43. C2×#556C22semidirect
44. C2×#556C22semidirect
47. C2×#553C22semidirect
48. C2×#553C22semidirect
49. C2×#553C22semidirect
55. C2×#548C22semidirect
61. C2×#537C22semidirect
62. C2×#536C22semidirect
66. C2×#532C22semidirect
70. C2×#529C22semidirect
71. C2×#529C22semidirect
72. C2×#529C22semidirect
76. C2×C4×#41C22semidirect
77. C2×C4×#41C22semidirect
78. C2×C4×#41C22semidirect
79. C22×C4×Q8C22semidirect
80. #2857C22semidirect
81. #2857C22semidirect
86. #2850C22semidirect
87. #2850C22semidirect
88. #2823C22semidirect
89. #2820C22semidirect
90. #2819C22semidirect
91. #2814C22semidirect
92. #2813C22semidirect
93. #2813C22semidirect
94. #2696C22semidirect
95. #2694C22semidirect
96. #2692C22semidirect
97. #2690C22semidirect
98. #2689C22semidirect
99. #2688C22semidirect
100. #2687C22semidirect
101. #2686C22semidirect
103. #2684C22semidirect
105. #2677C22semidirect
106. #2676C22semidirect
107. #2674C22semidirect
108. #2674C22semidirect
109. #2673C22semidirect
110. #2673C22semidirect
111. #2672C22semidirect
112. #2671C22semidirect
115. #2669C22semidirect
116. #2668C22semidirect
117. #2668C22semidirect
118. #2664C22semidirect
119. #2662C22semidirect
120. #2662C22semidirect
121. #2662C22semidirect
122. #2637C22semidirect
123. #2637C22semidirect
124. #2636C22semidirect
125. #2636C22semidirect
126. #2636C22semidirect
127. #2630C22semidirect
128. #2630C22semidirect
129. #2630C22semidirect
130. #2630C22semidirect
131. #2630C22semidirect
132. #2630C22semidirect
133. #2629C22semidirect
134. #2629C22semidirect
135. #2629C22semidirect
136. #2629C22semidirect
137. #2626C22semidirect
138. #2625C22semidirect
139. #2625C22semidirect
145. #2620C22semidirect
146. #2620C22semidirect
147. #2620C22semidirect
148. #2620C22semidirect
149. #2620C22semidirect
150. #2620C22semidirect
151. #2619C22semidirect
152. #2618C22semidirect
153. #2617C22semidirect
154. #2616C22semidirect
155. #2616C22semidirect
158. #2601C22semidirect
159. #2601C22semidirect
161. #2592C22semidirect
162. #2582C22semidirect
163. #2581C22semidirect
164. #2580C22semidirect
165. #2568C22semidirect
166. #2566C22semidirect
167. #2559C22semidirect
168. #2557C22semidirect
169. #2555C22semidirect
170. #2555C22semidirect
171. #2551C22semidirect
172. #2550C22semidirect
174. #2545C22semidirect
175. #2545C22semidirect
176. #2544C22semidirect
177. #2544C22semidirect
178. #2544C22semidirect
179. #2542C22semidirect
184. #2540C22semidirect
186. #2538C22semidirect
187. #2538C22semidirect
188. #2538C22semidirect
190. #2537C22semidirect
191. #2537C22semidirect
192. #2536C22semidirect
193. #2535C22semidirect
194. #2534C22semidirect
195. #2534C22semidirect
196. #2534C22semidirect
197. #2534C22semidirect
198. #2521C22semidirect
199. #2492C22semidirect
201. #2491C22semidirect
202. #2491C22semidirect
204. #2481C22semidirect
205. #2480C22semidirect
206. #2479C22semidirect
207. #2472C22semidirect
208. #2471C22semidirect
209. #2469C22semidirect
210. #2468C22semidirect
211. #2467C22semidirect
212. #2464C22semidirect
213. #2464C22semidirect
214. #2461C22semidirect
215. #2458C22semidirect
216. #2457C22semidirect
217. #2456C22semidirect
218. #2448C22semidirect
219. #2448C22semidirect
222. #2443C22semidirect
223. #2436C22semidirect
226. #2431C22semidirect
227. #2428C22semidirect
228. #2424C22semidirect
229. #2423C22semidirect
231. #2421C22semidirect
233. #2418C22semidirect
234. #2417C22semidirect
235. #2417C22semidirect
237. #2416C22semidirect
238. #2416C22semidirect
239. #2416C22semidirect
240. #2416C22semidirect
241. #2416C22semidirect
242. #2415C22semidirect
243. #2415C22semidirect
246. #2411C22semidirect
247. #2411C22semidirect
248. #2409C22semidirect
249. #2409C22semidirect
250. #2409C22semidirect
255. #2407C22semidirect
256. #2407C22semidirect
257. #2407C22semidirect
258. #2396C22semidirect
259. #2396C22semidirect
260. #2392C22semidirect
261. #2392C22semidirect
262. #2392C22semidirect
263. #2392C22semidirect
264. #2392C22semidirect
265. #2392C22semidirect
266. #2367C22semidirect
267. #2366C22semidirect
268. #2363C22semidirect
269. #2363C22semidirect
270. #2362C22semidirect
271. #2361C22semidirect
272. #2355C22semidirect
273. #2355C22semidirect
274. #2355C22semidirect
278. #2354C22semidirect
279. #2352C22semidirect
280. #2352C22semidirect
281. #2352C22semidirect
282. #2352C22semidirect
283. #2314C22semidirect
285. #2311C22semidirect
286. #2310C22semidirect
288. C4×C22⋊Q8C22semidirect
289. C4×C22⋊Q8C22semidirect
290. C4×C22⋊Q8C22semidirect
291. C4×C22⋊Q8C22semidirect
294. C4×#121C22semidirect
295. C4×#121C22semidirect
296. #2285C22semidirect
297. #2285C22semidirect
298. #2285C22semidirect
299. C2×#384C22semidirect
300. #2274C22semidirect
462. C4×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35142
C2×#34802
#429512
#429502
#428052
#428042
#421782
#419952
#405352
#405342
#393432
#393422
#393352
#393342
#389112
#389102
#389032
#389022
#376202
#376162
#375532
#375462
#365802
#365792
#365042
#364932
#360282
#358302
#358232
#358082
#353272
#352732
#346142
#341882