Finite Group Databasebeta

← #7712254

Subgroups — #7712254

Order 512.

7320 conjugacy classes of subgroups.

The subgroup lattice has 2013 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3554C211yesmaximal, characteristic, complemented
2C22×#529C211yesmaximal, characteristic, complemented
3#59155C212yesmaximal, complemented
4#59147C212yesmaximal, complemented
5#59083C212yesmaximal, complemented
6#59068C212yesmaximal, complemented
7#45768C214yesmaximal, complemented
8#45454C214yesmaximal, complemented
9#39139C211yesmaximal, characteristic, complemented
10#39137C211yesmaximal, characteristic, complemented
11#38911C211yesmaximal, characteristic, complemented
12#38909C211yesmaximal, characteristic, complemented
13#38035C212yesmaximal, complemented
14#38032C212yesmaximal, complemented
15#37804C214yesmaximal, complemented
16#37798C212yesmaximal, complemented
17#37797C212yesmaximal, complemented
18#37724C214yesmaximal, complemented
19#37665C212yesmaximal, complemented
20#37662C212yesmaximal, complemented
21#37622C211yesmaximal, characteristic, complemented
22#37616C211yesmaximal, characteristic, complemented
23#37379C212yesmaximal, complemented
24#37280C212yesmaximal, complemented
25#36625C211yesmaximal, characteristic, complemented
26#36624C211yesmaximal, characteristic, complemented
27#36580C211yesmaximal, characteristic, complemented
28#36577C211yesmaximal, characteristic, complemented
29#36101C211yesmaximal, characteristic, complemented
30#36100C212yesmaximal, complemented
31#36097C212yesmaximal, complemented
32D4×C22⋊Q8C211yesmaximal, characteristic, complemented
33#35306C212yesmaximal, complemented
34#35260C212yesmaximal, complemented
35#34383C211yesmaximal, characteristic, complemented
36#3554—216no—
37C2×#562C2214yescomplemented
38C2×#559C2212yescomplemented
39C2×#559C2211yescharacteristic, complemented
40C2×#557C2211yescharacteristic, complemented
41C2×#554C2212yescomplemented
42C2×#550C2211yescharacteristic, complemented
43C2×D4×Q8C2211yescharacteristic, complemented
44C2×#548C2212yescomplemented
45C2×#547C2212yescomplemented
46C2×#542C2212yescomplemented
47C2×#542C2212yescomplemented
48C2×#540C2212yes—
49C2×#539C2214yescomplemented
50C2×#536C2212yescomplemented
51C2×#533C2211yescharacteristic, complemented
52C2×#532C2211yescharacteristic, complemented
53C2×#529—216no—
54C2×#529C2212yes—
55C2×#529C2212yes—
56C2×#529C2211yescharacteristic
57C2×#529C2211yescharacteristic
58C2×#529C2212yes—
59C2×#529C2211yescharacteristic
60C2×#529C2212yes—
61C2×#529C2211yescharacteristic
62C2×#529C2211yescharacteristic
63C2×#529C2211yescharacteristic
64C2×#529C2211yescharacteristic
65C2×#529C2211yescharacteristic
66C22×#126C2212yes—
67C22×#125C2211yescharacteristic
68C22×#124C2211yescharacteristic
69C2×#525C2212yes—
70C2×#525C2212yes—
71C22×#123C2212yes—
72C22×C22⋊Q8C2211yescharacteristic
73C22×C22⋊Q8C2212yes—
74C22×#121C2211yescharacteristic
75C22×C4×Q8C2211yescharacteristic
76C22×C4×D4C2212yes—
77C22×C4×D4C2211yescharacteristic
78C22×#117C2212yes—
79C23×C42C2211yescharacteristic
80#2857C2212yes—
81#2857C2211yescharacteristic
82#2857C2211yescharacteristic
83#2857C2211yescharacteristic
84#2857C2211yescharacteristic, complemented
85#2857C2211yescharacteristic, complemented
86#2857C2211yescharacteristic, complemented
87#2856C2211yescharacteristic
88#2856C2211yescharacteristic, complemented
89#2855C2211yescharacteristic, complemented
90#2855C2211yescharacteristic, complemented
91#2855C2212yescomplemented
92#2854C2212yescomplemented
93#2854C2212yescomplemented
94#2851C2212yes—
95#2851C2212yescomplemented
96#2850C2212yes—
97#2850C2212yes—
98#2850C2212yescomplemented
99#2848C2211yescharacteristic
100#2848C2211yescharacteristic
101#2848C2212yes—
102#2848C2212yes—
103#2847C2212yes—
104#2847C2212yes—
105#2847C2212yes—
106#2814C2214yescomplemented
107#2813C2214yescomplemented
108#2727C2214yescomplemented
109#2723C2214yescomplemented
110#2721C2214yescomplemented
111#2720C2214yescomplemented
112#2718C2214yescomplemented
113#2712C2214yescomplemented
114#2710C2214yescomplemented
115#2710C2214yescomplemented
116#2708C2214yescomplemented
117#2706C2214yescomplemented
118#2706C2214yescomplemented
119#2705C2214yescomplemented
120#2704C2214yescomplemented
121#2703C2214yes—
122#2702C2214yescomplemented
123#2701C2214yescomplemented
124#2700C2214yescomplemented
125#2699C2214yes—
126#2696C2214yescomplemented
127#2695C2214yescomplemented
128#2694C2214yescomplemented
129#2692C2214yescomplemented
130#2691C2214yescomplemented
131#2689C2214yescomplemented
132#2688C2214yes—
133#2687C2214yescomplemented
134#2687C2214yescomplemented
135#2682C2214yescomplemented
136#2681C2214yescomplemented
137#2672C2214yescomplemented
138#2671C2214yes—
139#2671C2214yescomplemented
140#2664C2214yescomplemented
141#2636C2214yescomplemented
142#2628C2212yescomplemented
143#2625C2212yescomplemented
144#2625C2212yescomplemented
145#2624C2212yes—
146#2624C2212yescomplemented
147#2621C2212yescomplemented
148#2621C2212yescomplemented
149#2620C2212yescomplemented
150#2620C2212yescomplemented
151#2620C2212yescomplemented
152#2620C2212yescomplemented
153#2619C2212yes—
154#2592C2212yescomplemented
155#2592C2212yescomplemented
156#2584C2212yescomplemented
157#2582C2212yescomplemented
158#2582C2211yescharacteristic, complemented
159#2582C2211yescharacteristic, complemented
160#2580C2212yescomplemented
161#2568C2212yescomplemented
162#2568C2211yescharacteristic, complemented
163#2566C2212yescomplemented
164#2560C2214yescomplemented
165#2557C2214yescomplemented
166#2556C2214yescomplemented
167#2553C2214yescomplemented
168#2552C2212yescomplemented
169#2550C2212yescomplemented
170#2548C2212yescomplemented
171#2548C2211yescharacteristic, complemented
172#2544C2212yescomplemented
173#2544C2212yescomplemented
174#2542C2212yescomplemented
175#2542C2211yescharacteristic, complemented
176#2541C2211yescharacteristic, complemented
177#2540C2212yescomplemented
178#2538C2211yescharacteristic, complemented
179#2538C2211yescharacteristic, complemented
180#2537C2212yescomplemented
181#2536C2212yescomplemented
182#2492C2212yescomplemented
183#2490C2212yes—
184#2481C2214yes—
185#2481C2214yescomplemented
186#2479C2214yescomplemented
187#2477C2214yescomplemented
188#2474C2214yescomplemented
189#2473C2214yescomplemented
190#2472C2214yes—
191#2472C2214yes—
192#2470C2214yescomplemented
193#2466C2214yescomplemented
194#2463C2214yescomplemented
195#2461C2214yescomplemented
196#2459C2214yescomplemented
197#2458C2214yescomplemented
198#2456C2214yescomplemented
199#2455C2214yescomplemented
200#2455C2214yescomplemented
201#2454C2212yescomplemented
202#2454C2212yescomplemented
203#2453C2212yescomplemented
204#2453C2214yescomplemented
205#2452C2212yescomplemented
206#2449C2214yes—
207#2449C2214yes—
208#2449C2214yescomplemented
209#2448C2212yescomplemented
210#2448C2212yescomplemented
211#2447C2212yescomplemented
212#2445C2212yescomplemented
213#2443C2214yes—
214#2443C2214yescomplemented
215#2442C2212yes—
216#2442C2214yes—
217#2440C2212yes—
218#2437C2214yes—
219#2436C2212yes—
220#2433C2212yes—
221#2428C2212yes—
222#2428C2212yes—
223#2427C2212yescomplemented
224#2426C2212yescomplemented
225#2424C2214yes—
226#2423C2212yescomplemented
227#2422C2214yescomplemented
228#2420C2212yes—
229#2418C2214yes—
230#2418C2214yes—
231#2418C2214yes—
232#2417C2214yes—
233#2417C2214yes—
234#2417C2212yescomplemented
235#2416C2212yescomplemented
236#2415C2212yescomplemented
237#2415C2212yescomplemented
238#2415C2212yescomplemented
239#2415C2214yescomplemented
240#2415C2214yescomplemented
241#2414C2212yescomplemented
242#2413C2214yescomplemented
243#2413C2214yescomplemented
244#2412C2214yes—
245#2412C2214yes—
246#2410C2214yes—
247#2409C2212yescomplemented
248#2409C2212yescomplemented
249#2408C2214yes—
250#2407C2212yescomplemented
251#2407C2212yescomplemented
252#2407C2212yescomplemented
253#2407C2212yescomplemented
254#2376C2214yescomplemented
255#2370C2212yescomplemented
256#2367C2212yescomplemented
257#2367C2212yescomplemented
258#2366C2212yescomplemented
259#2361C2212yes—
260#2361C2212yes—
261#2361C2214yescomplemented
262#2361C2214yescomplemented
263#2358C2214yes—
264#2355C2211yescharacteristic, complemented
265#2354C2212yescomplemented
266#2354C2211yescharacteristic, complemented
267#2352C2212yescomplemented
268#2351C2212yescomplemented
269Q8×C4⋊C4C2211yescharacteristic, complemented
270D4×C4⋊C4C2214yes—
271D4×C4⋊C4C2211yescharacteristic, complemented
272D4×C4⋊C4C2212yescomplemented
273Q8×C22⋊C4C2212yes—
274D4×C22⋊C4C2212yes—
275#2334C2214yescomplemented
276#2324C2212yes—
277#2324C2212yescomplemented
278#2323C2212yescomplemented
279#2323C2212yescomplemented
280#2317C2212yescomplemented
281#2314C2212yescomplemented
282#2311C2212yescomplemented
283#2310C2212yescomplemented
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2212yes—
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2212yescomplemented
289C4×C22⋊Q8C2211yescharacteristic, complemented
290C4×C22⋊Q8C2211yescharacteristic, complemented
291C4×#121C2212yes—
292C4×#121C2212yes—
293C4×#121C2212yes—
294C4×#121C2212yescomplemented
295C4×#121C2212yescomplemented
296#2297C2212yescomplemented
297#2296C2212yescomplemented
298#2285C2211yescharacteristic, complemented
299#2285C2211yescharacteristic, complemented
300#2280C2212yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C23×Q8C2311yescharacteristic
304C23×Q8C2312yes—
305C23×D4C2311yescharacteristic
306C23×D4C2312yes—
307C24×C4C2311yescharacteristic
308C24×C4C2312yes—
309C24×C4C2311yescharacteristic
310C24×C4C2311yescharacteristic
311#562—232no—
312#559—216no—
313#559—28no—
314#557—28no—
315#554—216no—
316#550—28no—
317D4×Q8—28no—
318#548—216no—
319#547—216no—
320#542—216no—
321#542—216no—
322#540—216no—
323#539—232no—
324#536—216no—
325#533—28no—
326#532—28no—
327C2×C4⋊Q8C2311yescharacteristic
328C2×C4⋊Q8C2312yes—
329C2×C4⋊Q8C2311yescharacteristic
330C2×C4⋊Q8C2311yescharacteristic
331C2×C4⋊Q8C2312yes—
332C2×#127C2311yescharacteristic
333C2×#127C2312yes—
334C2×#127C2312yes—
335#529—216no—
336#529—28no—
337#529—28no—
338#529—216no—
339#529—28no—
340#529—28no—
341#529—28no—
342#529—216no—
343#529—28no—
344#529—216no—
345#529—28no—
346#529D4116yescomplemented
347C2×#126—216no—
348C2×#126C2312yes—
349C2×#126C2312yes—
350C2×#126C2312yes—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2314yes—
356C2×#126C2312yes—
357C2×#125—28no—
358C2×#125C2311yescharacteristic
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#125C2311yescharacteristic
362C2×#125C2311yescharacteristic
363C2×#125C2312yes—
364C2×#125C2314yes—
365C2×#125C2312yes—
366C2×#125C2311yescharacteristic
367C2×#124—28no—
368C2×#124C2311yescharacteristic
369C2×#124C2312yes—
370C2×#124C2312yes—
371C2×#124C2311yescharacteristic
372C2×#124C2311yescharacteristic
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2314yes—
376C2×#124C2312yes—
377C2×#124C2314yes—
378C2×#124C2312yes—
379C2×#124C2311yescharacteristic
380#525—48no—
381#525—48no—
382C2×#123—216no—
383C2×#123C2312yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2314yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×#123C2314yes—
394C2×#123C2314yes—
395C2×#123C2314yes—
396C2×#123C2314yes—
397C2×#123C2314yes—
398C2×#123C2312yes—
399C2×C22⋊Q8—28no—
400C2×C22⋊Q8—48no—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2314yes—
417C2×C22⋊Q8C2314yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2314yes—
428C2×C22⋊Q8C2314yes—
429C2×C22⋊Q8C2311yescharacteristic
430C2×#121—28no—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2311yescharacteristic
437C2×#121C2314yes—
438C2×#121C2312yes—
439C2×#121C2311yescharacteristic
440C2×#121C2311yescharacteristic
441C2×#121C2312yes—
442C2×#121C2314yes—
443C2×#121C2314yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2314yes—
450C2×#121C2314yes—
451C2×#121C2312yes—
452C2×#121C2311yescharacteristic
453C2×#120C2314yes—
454C2×#120C2314yes—
455C2×#120C2314yes—
456C2×C4×Q8—28no—
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2312yes—
460C2×C4×Q8C2311yescharacteristic
461C2×C4×Q8C2311yescharacteristic
462C2×C4×Q8C2312yes—
463C2×C4×Q8C2312yes—
464C2×C4×Q8C2311yescharacteristic
465C2×C4×Q8C2311yescharacteristic
466C2×C4×Q8C2312yes—
467C2×C4×Q8C2312yes—
468C2×C4×Q8C2311yescharacteristic
469C2×C4×D4—216no—
470C2×C4×D4—28no—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2314yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2312yes—
491C2×C4×D4C2314yes—
492C2×C4×D4C2314yes—
493C2×C4×D4C2314yes—
494C2×C4×D4C2314yes—
495C2×C4×D4C2314yes—
496C2×C4×D4C2311yescharacteristic
497C2×C4×D4C2312yes—
498C2×#117—216no—
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2312yes—
503C2×#117C2312yes—
504C2×#117C2312yes—
505C2×#117C2312yes—
506C2×#117C2312yes—
507C2×#117C2312yes—
508C2×#117C2312yes—
509C2×#117C2312yes—
510C2×#117C2312yes—
511C22×C4⋊C4C2312yes—
512C22×C4⋊C4C2314yes—
513C22×C4⋊C4C2311yescharacteristic
514C22×C4⋊C4C2311yescharacteristic
515C22×C4⋊C4C2312yes—
516C22×C4⋊C4C2312yes—
517C22×C4⋊C4C2312yes—
518C22×C4⋊C4C2312yes—
519C22×C4⋊C4C2314yes—
520C22×C22⋊C4C2312yes—
521C22×C22⋊C4C2312yes—
522C22×C22⋊C4C2312yes—
523C22×C22⋊C4C2312yes—
524C22×C22⋊C4C2312yes—
525C22×C22⋊C4C2314yes—
526C22×C42—28no—
527C22×C42C2311yescharacteristic
528C22×C42C2312yes—
529C22×C42C2311yescharacteristic
530C22×C42C2311yescharacteristic
531C22×C42C2311yescharacteristic
532C22×C42C2311yescharacteristic
533C22×C42C2311yescharacteristic
534C22×C42C2311yescharacteristic
535C22×C42C2311yescharacteristic
536C22×C42C2311yescharacteristic
537C22×C42C2311yescharacteristic
538C22×C42C2311yescharacteristic
539C22×C42C2311yescharacteristic
540#400C2314yes—
541#400C2314yes—
542#400C2314yes—
543#400C2314yes—
544#400C2314yes—
545#399C2314yes—
546#399C2314yes—
547#399C2314yes—
548#399C2314yes—
549#399C2314yes—
550#399C2314yes—
551#399C2314yes—
552#398C2314yes—
553#398C2314yes—
554#398C2314yes—
555#398C2314yes—
556#398C2314yes—
557#398C2314yes—
558#398C2314yes—
559#398C2314yes—
560#398C2314yes—
561#398C2314yes—
562#398C2314yes—
563#397C2314yes—
564#397C2314yes—
565#397C2314yes—
566#397C2314yes—
567#397C2314yes—
568#397C2314yes—
569#397C2314yes—
570#397C2314yes—
571#397C2314yes—
572#397C2314yes—
573#397C2314yes—
574#396C2314yes—
575#396C2314yes—
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#396C2314yes—
584#395C2314yes—
585#395C2314yes—
586#395C2314yes—
587#394C2314yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#393C2314yes—
609#393C2314yes—
610#393C2314yes—
611#393C2314yes—
612#393C2314yes—
613#392C2314yes—
614#392C2314yes—
615#392C2314yes—
616#392C2314yes—
617#392C2314yes—
618#392C2314yes—
619#392C2314yes—
620#391C2314yes—
621#391C2311yescharacteristic
622#391C2312yes—
623#391C2312yes—
624#391C2312yes—
625#391C2314yes—
626#391C2311yescharacteristic
627#391C2312yes—
628#391C2311yescharacteristic
629#391C2312yes—
630#391C2312yes—
631#391C2312yes—
632#391C2314yes—
633#391C2312yes—
634#391C2312yes—
635#391C2312yes—
636#391C2314yes—
637#391C2311yescharacteristic
638#391C2312yes—
639#391C2312yes—
640#390C2314yes—
641#390C2312yes—
642#390C2312yes—
643#390C2312yes—
644#390C2312yes—
645#390C2312yes—
646#390C2314yes—
647#390C2314yes—
648#390C2312yes—
649#390C2312yes—
650#390C2312yes—
651#390C2312yes—
652#390C2312yes—
653#390C2312yes—
654#390C2312yes—
655#390C2312yes—
656#390C2312yes—
657#390C2314yes—
658#390C2314yes—
659#390C2314yes—
660#389C2314yes—
661#389C2314yes—
662#389C2311yescharacteristic
663#389C2312yes—
664#389C2314yes—
665#389C2312yes—
666#389C2311yescharacteristic
667#389C2311yescharacteristic
668#389C2312yes—
669#389C2311yescharacteristic
670#389C2312yes—
671#389C2312yes—
672#389C2312yes—
673#389C2314yes—
674#389C2314yes—
675#389C2312yes—
676#389C2312yes—
677#389C2314yes—
678#389C2314yes—
679#389C2312yes—
680#389C2312yes—
681#389C2312yes—
682#389C2312yes—
683#389C2312yes—
684#389C2312yes—
685#389C2312yes—
686#389C2312yes—
687#389C2312yes—
688#389C2312yes—
689#389C2314yes—
690#389C2314yes—
691#389C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#387C2312yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2312yes—
723#387C2312yes—
724#387C2312yes—
725#387C2312yes—
726#387C2312yes—
727#387C2312yes—
728#387C2312yes—
729#387C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2312yes—
763#385C2312yes—
764#385C2312yes—
765#385C2312yes—
766#385C2312yes—
767#385C2312yes—
768#385C2312yes—
769#385C2312yes—
770#385C2312yes—
771#385C2312yes—
772#385C2312yes—
773#385C2312yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#384C2312yes—
783#384C2311yescharacteristic
784#384C2311yescharacteristic
785#384C2312yes—
786#384C2311yescharacteristic
787#384C2311yescharacteristic
788#384C2314yes—
789#382C2312yes—
790#382C2314yes—
791#382C2312yes—
792#382C2312yes—
793#382C2312yes—
794#381C2314yes—
795#381C2314yes—
796#381C2312yes—
797#381C2312yes—
798#380C2314yes—
799#380C2314yes—
800#380C2312yes—
801#380C2312yes—
802#380C2312yes—
803#380C2312yes—
804#380C2312yes—
805#380C2311yescharacteristic
806#380C2312yes—
807#380C2312yes—
808#380C2312yes—
809#380C2312yes—
810#380C2312yes—
811#380C2311yescharacteristic
812#380C2311yescharacteristic
813#380C2311yescharacteristic
814#380C2312yes—
815#380C2312yes—
816#380C2311yescharacteristic
817#380C2311yescharacteristic
818#380C2312yes—
819#380C2312yes—
820#380C2312yes—
821#380C2312yes—
822#380C2312yes—
823#380C2314yes—
824#380C2314yes—
825#380C2314yes—
826#380C2314yes—
827#379C2312yes—
828#379C2312yes—
829#379C2314yes—
830C4×C4⋊C4C2314yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2311yescharacteristic
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2312yes—
838C4×C4⋊C4C2312yes—
839C4×C4⋊C4C2311yescharacteristic
840C4×C4⋊C4C2312yes—
841C4×C4⋊C4C2314yes—
842C4×C4⋊C4C2312yes—
843C4×C4⋊C4C2312yes—
844C4×C4⋊C4C2312yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2314yes—
849C4×C22⋊C4C2312yes—
850C4×C22⋊C4C2314yes—
851C4×C22⋊C4C2312yes—
852C4×C22⋊C4C2312yes—
853C4×C22⋊C4C2314yes—
854C25C2411yescharacteristic
855C25C2412yes—
856C2×#41—28no—
857C2×#41—28no—
858C2×#41—44no—
859C2×#41—44no—
860C2×#41—44no—
861C2×#41—44no—
862C22×Q8—24no—
863C22×Q8—28no—
864C22×Q8—24no—
865C22×Q8—42no—
866C22×Q8—44no—
867C22×Q8—44no—
868C22×Q8C2411yescharacteristic
869C22×Q8C2411yescharacteristic
870C22×Q8C2412yes—
871C22×Q8C2411yescharacteristic
872C22×Q8C2412yes—
873C22×Q8C2411yescharacteristic
874C22×Q8C2412yes—
875C22×Q8C2414yes—
876C22×D4—28no—
877C22×D4—24no—
878C22×D4—24no—
879C22×D4—42no—
880C22×D4—44no—
881C22×D4—44no—
882C22×D4C2414yes—
883C22×D4C2412yes—
884C22×D4C2411yescharacteristic
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2411yescharacteristic
890C22×D4C2412yes—
891C22×D4C2414yes—
892C22×D4C2414yes—
893C22×D4C2412yes—
894C22×D4C2414yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2412yes—
899C23×C4—28no—
900C23×C4—24no—
901C23×C4—24no—
902C23×C4—24no—
903C23×C4—28no—
904C23×C4—24no—
905C23×C4—24no—
906C23×C4—42no—
907C23×C4—44no—
908C23×C4—42no—
909C23×C4—42no—
910C23×C4—42no—
911C23×C4C2412yes—
912C23×C4C2411yescharacteristic
913C23×C4C2411yescharacteristic
914C23×C4C2412yes—
915C23×C4C2412yes—
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2411yescharacteristic
920C23×C4C2412yes—
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C23×C4C2411yescharacteristic
926C23×C4C2411yescharacteristic
927C23×C4C2411yescharacteristic
928C23×C4C2411yescharacteristic
929C23×C4C2412yes—
930C23×C4C2411yescharacteristic
931C23×C4C2411yescharacteristic
932C23×C4C2411yescharacteristic
933C23×C4C2411yescharacteristic
934C23×C4C2414yes—
935C23×C4C2414yes—
936C23×C4C2414yes—
937C23×C4C2414yes—
938C23×C4C2411yescharacteristic
939C23×C4C2414yes—
940C23×C4C2411yescharacteristic
941C4⋊Q8—28no—
942C4⋊Q8—24no—
943C4⋊Q8—24no—
944C4⋊Q8—24no—
945C4⋊Q8—28no—
946#127—28no—
947#127—24no—
948#127—44no—
949#126—28no—
950#126—28no—
951#126—28no—
952#126—216no—
953#126—28no—
954#126—28no—
955#126—28no—
956#126—28no—
957#126C2×D4116yes—
958#125—24no—
959#125—28no—
960#125—24no—
961#125—28no—
962#125—216no—
963#125—28no—
964#125—24no—
965#125—28no—
966#125C2×D418yes—
967#124—24no—
968#124—28no—
969#124—24no—
970#124—28no—
971#124—28no—
972#124—216no—
973#124—216no—
974#124—24no—
975#124—28no—
976#124—28no—
977#124—44no—
978#124C2×D418yes—
979#123—28no—
980#123—28no—
981#123—28no—
982#123—28no—
983#123—216no—
984#123—28no—
985#123—28no—
986#123—28no—
987#123—216no—
988#123—216no—
989#123—216no—
990#123—216no—
991#123—216no—
992#123—48no—
993#123—48no—
994#123C2×D4116yes—
995C22⋊Q8—24no—
996C22⋊Q8—24no—
997C22⋊Q8—24no—
998C22⋊Q8—24no—
999C22⋊Q8—28no—
1000C22⋊Q8—28no—
1001C22⋊Q8—24no—
1002C22⋊Q8—28no—
1003C22⋊Q8—24no—
1004C22⋊Q8—24no—
1005C22⋊Q8—28no—
1006C22⋊Q8—216no—
1007C22⋊Q8—216no—
1008C22⋊Q8—216no—
1009C22⋊Q8—216no—
1010C22⋊Q8—28no—
1011C22⋊Q8—216no—
1012C22⋊Q8—48no—
1013C22⋊Q8—44no—
1014C22⋊Q8—44no—
1015C22⋊Q8—48no—
1016C22⋊Q8—44no—
1017C22⋊Q8—44no—
1018C22⋊Q8—42no—
1019C22⋊Q8—44no—
1020C22⋊Q8—42no—
1021C22⋊Q8—44no—
1022C22⋊Q8—44no—
1023C22⋊Q8C2×D418yes—
1024#121—24no—
1025#121—28no—
1026#121—216no—
1027#121—216no—
1028#121—24no—
1029#121—28no—
1030#121—28no—
1031#121—28no—
1032#121—28no—
1033#121—28no—
1034#121—24no—
1035#121—28no—
1036#121—216no—
1037#121—48no—
1038#121—48no—
1039#121—44no—
1040#121—44no—
1041#121—44no—
1042#121—44no—
1043#121—44no—
1044#121—44no—
1045#121C2×D418yes—
1046#120—48no—
1047#120—48no—
1048#120—48no—
1049C4×Q8—24no—
1050C4×Q8—28no—
1051C4×Q8—28no—
1052C4×Q8—24no—
1053C4×Q8—28no—
1054C4×Q8—24no—
1055C4×Q8—24no—
1056C4×Q8—24no—
1057C4×Q8—28no—
1058C4×Q8—28no—
1059C4×Q8—44no—
1060C4×Q8C2×D418yes—
1061C4×D4—24no—
1062C4×D4—28no—
1063C4×D4—28no—
1064C4×D4—28no—
1065C4×D4—28no—
1066C4×D4—28no—
1067C4×D4—24no—
1068C4×D4—28no—
1069C4×D4—28no—
1070C4×D4—28no—
1071C4×D4—28no—
1072C4×D4—28no—
1073C4×D4—28no—
1074C4×D4—216no—
1075C4×D4—24no—
1076C4×D4—28no—
1077C4×D4—28no—
1078C4×D4—28no—
1079C4×D4—28no—
1080C4×D4—44no—
1081C4×D4—48no—
1082C4×D4—48no—
1083C4×D4—48no—
1084C4×D4—48no—
1085C4×D4—48no—
1086C4×D4C2×D4116yes—
1087C4×D4C2×D418yes—
1088#117—28no—
1089#117—28no—
1090#117—28no—
1091#117—28no—
1092#117—28no—
1093#117—28no—
1094#117—28no—
1095#117—28no—
1096#117—44no—
1097#117—44no—
1098#117—44no—
1099#117C2×D4116yes—
1100C2×C4⋊C4—28no—
1101C2×C4⋊C4—28no—
1102C2×C4⋊C4—24no—
1103C2×C4⋊C4—28no—
1104C2×C4⋊C4—24no—
1105C2×C4⋊C4—28no—
1106C2×C4⋊C4—216no—
1107C2×C4⋊C4—44no—
1108C2×C4⋊C4—48no—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2411yescharacteristic
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2411yescharacteristic
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2411yescharacteristic
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2414yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2414yes—
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2412yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2412yes—
1171C2×C4⋊C4C2412yes—
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2412yes—
1174C2×C4⋊C4C2412yes—
1175C2×C4⋊C4C2412yes—
1176C2×C4⋊C4C2411yescharacteristic
1177C2×C4⋊C4C2411yescharacteristic
1178C2×C4⋊C4C2412yes—
1179C2×C22⋊C4—28no—
1180C2×C22⋊C4—28no—
1181C2×C22⋊C4—28no—
1182C2×C22⋊C4—28no—
1183C2×C22⋊C4—28no—
1184C2×C22⋊C4—48no—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2412yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2412yes—
1246C2×C22⋊C4C2412yes—
1247C2×C22⋊C4C2412yes—
1248C2×C42—24no—
1249C2×C42—24no—
1250C2×C42—24no—
1251C2×C42—24no—
1252C2×C42—28no—
1253C2×C42—24no—
1254C2×C42—24no—
1255C2×C42—24no—
1256C2×C42—24no—
1257C2×C42—24no—
1258C2×C42—24no—
1259C2×C42—24no—
1260C2×C42C2×D418yes—
1261C2×C42C2411yescharacteristic
1262C2×C42C2411yescharacteristic
1263C2×C42C2411yescharacteristic
1264C2×C42C2412yes—
1265C2×C42C2412yes—
1266C2×C42C2412yes—
1267C2×C42C2412yes—
1268C2×C42C2412yes—
1269C2×C42C2412yes—
1270C2×C42C2412yes—
1271C2×C42C2411yescharacteristic
1272C2×C42C2411yescharacteristic
1273C2×C42C2411yescharacteristic
1274C2×C42C2414yes—
1275C2×C42C2411yescharacteristic
1276C2×C42C2411yescharacteristic
1277C2×C42C2411yescharacteristic
1278C2×C42C2411yescharacteristic
1279C2×C42C2411yescharacteristic
1280C2×C42C2411yescharacteristic
1281C2×C42C2414yes—
1282C2×C42C2414yes—
1283C2×C42C2414yes—
1284C2×C42C2414yes—
1285C2×C42C2411yescharacteristic
1286C2×C42C2412yes—
1287C2×C42C2411yescharacteristic
1288C2×C42C2411yescharacteristic
1289C2×C42C2411yescharacteristic
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2414yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2412yes—
1312#95C2412yes—
1313#95C2412yes—
1314#95C2412yes—
1315#95C2412yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2412yes—
1320#95C2412yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2414yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329#95C2414yes—
1330#95C2414yes—
1331#95C2414yes—
1332#95C2414yes—
1333#95C2414yes—
1334C24—22no—
1335C24—22no—
1336C24—22no—
1337C24—24no—
1338C24—22no—
1339C24—22no—
1340C24—24no—
1341C24—24no—
1342C24—24no—
1343C24—41no—
1344C24—41no—
1345C24—42no—
1346C24—42no—
1347C24—42no—
1348C24C2512yes—
1349C24C2514yes—
1350C24C2511yescharacteristic
1351C24C2512yes—
1352C24C2511yescharacteristic
1353C24C2511yescharacteristic
1354#41—816no—
1355#41—816no—
1356C2×Q8—24no—
1357C2×Q8—22no—
1358C2×Q8—22no—
1359C2×Q8—24no—
1360C2×Q8—22no—
1361C2×Q8—24no—
1362C2×Q8—28no—
1363C2×Q8—22no—
1364C2×Q8—24no—
1365C2×Q8—22no—
1366C2×Q8—22no—
1367C2×Q8—24no—
1368C2×Q8—22no—
1369C2×Q8—22no—
1370C2×Q8—22no—
1371C2×Q8—24no—
1372C2×Q8—22no—
1373C2×Q8—22no—
1374C2×Q8—42no—
1375C2×Q8—44no—
1376C2×Q8—42no—
1377C2×Q8—42no—
1378C2×Q8—44no—
1379C2×Q8—416no—
1380C2×Q8—816no—
1381C2×Q8C22×D414yes—
1382C2×D4—24no—
1383C2×D4—24no—
1384C2×D4—24no—
1385C2×D4—28no—
1386C2×D4—28no—
1387C2×D4—28no—
1388C2×D4—24no—
1389C2×D4—24no—
1390C2×D4—28no—
1391C2×D4—28no—
1392C2×D4—28no—
1393C2×D4—28no—
1394C2×D4—24no—
1395C2×D4—24no—
1396C2×D4—22no—
1397C2×D4—24no—
1398C2×D4—24no—
1399C2×D4—24no—
1400C2×D4—22no—
1401C2×D4—24no—
1402C2×D4—24no—
1403C2×D4—22no—
1404C2×D4—22no—
1405C2×D4—24no—
1406C2×D4—24no—
1407C2×D4—22no—
1408C2×D4—416no—
1409C2×D4—42no—
1410C2×D4—42no—
1411C2×D4—42no—
1412C2×D4—42no—
1413C2×D4—42no—
1414C2×D4—42no—
1415C2×D4—42no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—44no—
1421C2×D4—42no—
1422C2×D4—42no—
1423C2×D4—44no—
1424C2×D4—44no—
1425C2×D4—44no—
1426C2×D4—44no—
1427C2×D4—44no—
1428C2×D4—44no—
1429C2×D4—44no—
1430C2×D4—44no—
1431C2×D4—44no—
1432C2×D4—432no—
1433C2×D4C22×D414yes—
1434C2×D4C22×D418yes—
1435C22×C4—22no—
1436C22×C4—22no—
1437C22×C4—24no—
1438C22×C4—22no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—22no—
1442C22×C4—22no—
1443C22×C4—24no—
1444C22×C4—22no—
1445C22×C4—22no—
1446C22×C4—22no—
1447C22×C4—22no—
1448C22×C4—24no—
1449C22×C4—22no—
1450C22×C4—24no—
1451C22×C4—22no—
1452C22×C4—24no—
1453C22×C4—24no—
1454C22×C4—22no—
1455C22×C4—22no—
1456C22×C4—22no—
1457C22×C4—22no—
1458C22×C4—28no—
1459C22×C4—22no—
1460C22×C4—22no—
1461C22×C4—22no—
1462C22×C4—22no—
1463C22×C4—22no—
1464C22×C4—22no—
1465C22×C4—22no—
1466C22×C4—22no—
1467C22×C4—22no—
1468C22×C4—22no—
1469C22×C4—24no—
1470C22×C4—24no—
1471C22×C4—24no—
1472C22×C4—24no—
1473C22×C4—24no—
1474C22×C4—24no—
1475C22×C4—22no—
1476C22×C4—24no—
1477C22×C4—22no—
1478C22×C4—24no—
1479C22×C4—22no—
1480C22×C4—22no—
1481C22×C4—22no—
1482C22×C4—22no—
1483C22×C4—22no—
1484C22×C4—24no—
1485C22×C4—22no—
1486C22×C4—28no—
1487C22×C4—28no—
1488C22×C4—28no—
1489C22×C4—41no—
1490C22×C4—41no—
1491C22×C4—41no—
1492C22×C4—41no—
1493C22×C4—41no—
1494C22×C4—41no—
1495C22×C4—41no—
1496C22×C4—41no—
1497C22×C4—41no—
1498C22×C4—42no—
1499C22×C4—42no—
1500C22×C4—41no—
1501C22×C4—41no—
1502C22×C4—42no—
1503C22×C4—41no—
1504C22×C4—41no—
1505C22×C4—41no—
1506C22×C4—42no—
1507C22×C4—42no—
1508C22×C4—432no—
1509C22×C4—416no—
1510C22×C4—416no—
1511C22×C4—44no—
1512C22×C4—44no—
1513C22×C4—44no—
1514C22×C4—44no—
1515C22×C4—44no—
1516C22×C4—44no—
1517C22×C4—44no—
1518C22×C4—44no—
1519C22×C4—44no—
1520C22×C4—44no—
1521C22×C4—44no—
1522C22×C4—416no—
1523C22×C4C22×D414yes—
1524C22×C4C22×D414yes—
1525C22×C4C22×D418yes—
1526C22×C4C22×D414yes—
1527C22×C4H(5,𝔽2)14yes—
1528C22×C42−1+414yes—
1529C22×C4C2512yes—
1530C22×C4C2511yescharacteristic
1531C22×C4C2514yes—
1532C22×C4C2512yes—
1533C22×C4C2512yes—
1534C22×C4C2512yes—
1535C22×C4C2514yes—
1536C22×C4C2512yes—
1537C22×C4C2511yescharacteristic
1538C22×C4C2511yescharacteristic
1539C22×C4C2512yes—
1540C22×C4C2512yes—
1541C22×C4C2512yes—
1542C22×C4C2512yes—
1543C22×C4C2514yes—
1544C22×C4C2512yes—
1545C22×C4C2511yescharacteristic
1546C22×C4C2512yes—
1547C22×C4C2511yescharacteristic
1548C22×C4C2512yes—
1549C22×C4C2511yescharacteristic
1550C22×C4C2511yescharacteristic
1551C22×C4C2512yes—
1552C22×C4C2511yescharacteristic
1553C22×C4C2512yes—
1554C22×C4C2511yescharacteristic
1555C22×C4C2511yescharacteristic
1556C22×C4C2511yescharacteristic
1557C22×C4C2511yescharacteristic
1558C4⋊C4—24no—
1559C4⋊C4—24no—
1560C4⋊C4—24no—
1561C4⋊C4—24no—
1562C4⋊C4—24no—
1563C4⋊C4—24no—
1564C4⋊C4—24no—
1565C4⋊C4—24no—
1566C4⋊C4—22no—
1567C4⋊C4—24no—
1568C4⋊C4—24no—
1569C4⋊C4—24no—
1570C4⋊C4—24no—
1571C4⋊C4—22no—
1572C4⋊C4—24no—
1573C4⋊C4—24no—
1574C4⋊C4—24no—
1575C4⋊C4—28no—
1576C4⋊C4—28no—
1577C4⋊C4—24no—
1578C4⋊C4—24no—
1579C4⋊C4—24no—
1580C4⋊C4—24no—
1581C4⋊C4—22no—
1582C4⋊C4—24no—
1583C4⋊C4—22no—
1584C4⋊C4—24no—
1585C4⋊C4—28no—
1586C4⋊C4—24no—
1587C4⋊C4—24no—
1588C4⋊C4—28no—
1589C4⋊C4—22no—
1590C4⋊C4—24no—
1591C4⋊C4—24no—
1592C4⋊C4—28no—
1593C4⋊C4—24no—
1594C4⋊C4—22no—
1595C4⋊C4—24no—
1596C4⋊C4—24no—
1597C4⋊C4—24no—
1598C4⋊C4—22no—
1599C4⋊C4—22no—
1600C4⋊C4—44no—
1601C4⋊C4—44no—
1602C4⋊C4—44no—
1603C4⋊C4—42no—
1604C4⋊C4—42no—
1605C4⋊C4—44no—
1606C4⋊C4—44no—
1607C4⋊C4—44no—
1608C4⋊C4—44no—
1609C4⋊C4—42no—
1610C4⋊C4—42no—
1611C4⋊C4—44no—
1612C4⋊C4—44no—
1613C4⋊C4—42no—
1614C4⋊C4—42no—
1615C4⋊C4—42no—
1616C4⋊C4—42no—
1617C4⋊C4—42no—
1618C4⋊C4—42no—
1619C4⋊C4—44no—
1620C4⋊C4—42no—
1621C4⋊C4—42no—
1622C4⋊C4C22×D418yes—
1623C4⋊C4C22×D418yes—
1624C4⋊C4C22×D418yes—
1625C4⋊C4C22×D414yes—
1626C4⋊C4C22×D414yes—
1627C4⋊C4C22×D418yes—
1628C22⋊C4—24no—
1629C22⋊C4—24no—
1630C22⋊C4—24no—
1631C22⋊C4—24no—
1632C22⋊C4—24no—
1633C22⋊C4—24no—
1634C22⋊C4—24no—
1635C22⋊C4—28no—
1636C22⋊C4—24no—
1637C22⋊C4—28no—
1638C22⋊C4—24no—
1639C22⋊C4—24no—
1640C22⋊C4—24no—
1641C22⋊C4—24no—
1642C22⋊C4—24no—
1643C22⋊C4—24no—
1644C22⋊C4—24no—
1645C22⋊C4—24no—
1646C22⋊C4—24no—
1647C22⋊C4—24no—
1648C22⋊C4—24no—
1649C22⋊C4—24no—
1650C22⋊C4—24no—
1651C22⋊C4—24no—
1652C22⋊C4—24no—
1653C22⋊C4—28no—
1654C22⋊C4—28no—
1655C22⋊C4—28no—
1656C22⋊C4—28no—
1657C22⋊C4—28no—
1658C22⋊C4—28no—
1659C22⋊C4—28no—
1660C22⋊C4—28no—
1661C22⋊C4—44no—
1662C22⋊C4—44no—
1663C22⋊C4—42no—
1664C22⋊C4—42no—
1665C22⋊C4—44no—
1666C22⋊C4—44no—
1667C22⋊C4—44no—
1668C22⋊C4—44no—
1669C22⋊C4—44no—
1670C22⋊C4—44no—
1671C22⋊C4—44no—
1672C22⋊C4—44no—
1673C22⋊C4—44no—
1674C22⋊C4—44no—
1675C22⋊C4—44no—
1676C22⋊C4—44no—
1677C22⋊C4—44no—
1678C22⋊C4—44no—
1679C22⋊C4—44no—
1680C22⋊C4—44no—
1681C22⋊C4—42no—
1682C22⋊C4—44no—
1683C22⋊C4—42no—
1684C22⋊C4—44no—
1685C22⋊C4—44no—
1686C22⋊C4C22×D418yes—
1687C22⋊C4C22×D418yes—
1688C22⋊C4C22×D418yes—
1689C22⋊C4C22×D418yes—
1690C22⋊C4C22×D418yes—
1691C42—22no—
1692C42—22no—
1693C42—22no—
1694C42—22no—
1695C42—22no—
1696C42—22no—
1697C42—22no—
1698C42—22no—
1699C42—22no—
1700C42—22no—
1701C42—22no—
1702C42—22no—
1703C42—24no—
1704C42—24no—
1705C42—24no—
1706C42—24no—
1707C42—24no—
1708C42—28no—
1709C42—24no—
1710C42—24no—
1711C42—44no—
1712C42—44no—
1713C42—44no—
1714C42—44no—
1715C42C22×D414yes—
1716C42C22×D414yes—
1717C42C22×D414yes—
1718C42C22×D414yes—
1719C42C22×D418yes—
1720C23—21no—
1721C23—21no—
1722C23—21no—
1723C23—21no—
1724C23—28no—
1725C23—21no—
1726C23—21no—
1727C23—21no—
1728C23—22no—
1729C23—21no—
1730C23—21no—
1731C23—22no—
1732C23—21no—
1733C23—21no—
1734C23—22no—
1735C23—22no—
1736C23—22no—
1737C23—21no—
1738C23—21no—
1739C23—22no—
1740C23—21no—
1741C23—21no—
1742C23—21no—
1743C23—22no—
1744C23—24no—
1745C23—24no—
1746C23—22no—
1747C23—24no—
1748C23—22no—
1749C23—24no—
1750C23—22no—
1751C23—24no—
1752C23—24no—
1753C23—22no—
1754C23—22no—
1755C23—24no—
1756C23—22no—
1757C23—44no—
1758C23—44no—
1759C23—44no—
1760C23—44no—
1761C23—48no—
1762C23—48no—
1763C23—48no—
1764C23—44no—
1765C23—44no—
1766C23—48no—
1767C23—84no—
1768C23—84no—
1769C23—84no—
1770C23C23×D414yes—
1771C23C23×D412yes—
1772C23C2×H(5,𝔽2)12yes—
1773C23C2×2−1+412yes—
1774C23#58512yes—
1775C23#58512yes—
1776C23C2611yescharacteristic
1777Q8—28no—
1778Q8—48no—
1779Q8—44no—
1780Q8—48no—
1781Q8—44no—
1782Q8—44no—
1783Q8—84no—
1784Q8—88no—
1785D4—28no—
1786D4—48no—
1787D4—48no—
1788D4—48no—
1789D4—48no—
1790D4—48no—
1791D4—416no—
1792D4—48no—
1793D4—48no—
1794D4—44no—
1795D4—84no—
1796D4—88no—
1797D4—88no—
1798D4—88no—
1799D4—88no—
1800D4—88no—
1801D4—164no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—22no—
1806C2×C4—21no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—22no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—22no—
1819C2×C4—21no—
1820C2×C4—28no—
1821C2×C4—216no—
1822C2×C4—28no—
1823C2×C4—28no—
1824C2×C4—28no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—24no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—24no—
1839C2×C4—24no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—24no—
1843C2×C4—22no—
1844C2×C4—21no—
1845C2×C4—22no—
1846C2×C4—24no—
1847C2×C4—21no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—24no—
1855C2×C4—24no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—21no—
1864C2×C4—21no—
1865C2×C4—21no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—22no—
1869C2×C4—24no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—24no—
1875C2×C4—22no—
1876C2×C4—21no—
1877C2×C4—21no—
1878C2×C4—21no—
1879C2×C4—44no—
1880C2×C4—44no—
1881C2×C4—48no—
1882C2×C4—44no—
1883C2×C4—48no—
1884C2×C4—44no—
1885C2×C4—44no—
1886C2×C4—48no—
1887C2×C4—44no—
1888C2×C4—44no—
1889C2×C4—44no—
1890C2×C4—44no—
1891C2×C4—44no—
1892C2×C4—44no—
1893C2×C4—48no—
1894C2×C4—48no—
1895C2×C4—44no—
1896C2×C4—44no—
1897C2×C4—48no—
1898C2×C4—44no—
1899C2×C4—88no—
1900C2×C4—88no—
1901C2×C4—88no—
1902C2×C4—88no—
1903C2×C4—88no—
1904C2×C4C23×D414yes—
1905C2×C4C23×D412yes—
1906C2×C4C23×D412yes—
1907C2×C4C23×D412yes—
1908C2×C4C23×D412yes—
1909C2×C4C23×D414yes—
1910C2×C4C23×D414yes—
1911C2×C4C23×D412yes—
1912C2×C4C23×D412yes—
1913C2×C4C2×H(5,𝔽2)12yes—
1914C2×C4C2×H(5,𝔽2)12yes—
1915C2×C4C2×2−1+412yes—
1916C2×C4C2×2−1+412yes—
1917C2×C4#58512yes—
1918C2×C4#58512yes—
1919C22—22no—
1920C22—22no—
1921C22—22no—
1922C22—22no—
1923C22—22no—
1924C22—22no—
1925C22—22no—
1926C22—24no—
1927C22—22no—
1928C22—22no—
1929C22—24no—
1930C22—22no—
1931C22—22no—
1932C22—24no—
1933C22—22no—
1934C22—416no—
1935C22—41no—
1936C22—41no—
1937C22—42no—
1938C22—42no—
1939C22—41no—
1940C22—41no—
1941C22—41no—
1942C22—41no—
1943C22—41no—
1944C22—42no—
1945C22—41no—
1946C22—42no—
1947C22—44no—
1948C22—42no—
1949C22—44no—
1950C22—42no—
1951C22—42no—
1952C22—44no—
1953C22—42no—
1954C22—44no—
1955C22—44no—
1956C22—42no—
1957C22—42no—
1958C22—44no—
1959C22—44no—
1960C22—42no—
1961C22—816no—
1962C22#355414yescomplemented
1963C22C24×D411yescharacteristic
1964C22C22×H(5,𝔽2)11yescharacteristic
1965C22C22×2−1+411yescharacteristic
1966C22C2×#58511yescharacteristic
1967C22C2×#58511yescharacteristic
1968C22C2×#58511yescharacteristic
1969C22C2×#58511yescharacteristic
1970C4—22no—
1971C4—22no—
1972C4—24no—
1973C4—22no—
1974C4—22no—
1975C4—24no—
1976C4—22no—
1977C4—22no—
1978C4—24no—
1979C4—44no—
1980C4—42no—
1981C4—44no—
1982C4—42no—
1983C4—41no—
1984C4—42no—
1985C4—42no—
1986C4—44no—
1987C4—42no—
1988C4—41no—
1989C4—42no—
1990C4—41no—
1991C4—41no—
1992C4—42no—
1993C4—42no—
1994C4—42no—
1995C4—42no—
1996C4—42no—
1997C4#348814yes—
1998C4#348914yes—
1999C2—24no—
2000C2—42no—
2001C2—42no—
2002C2—44no—
2003C2—84no—
2004C2—82no—
2005C2C2×#355411yescharacteristic
2006C2#6274811yescharacteristic
2007C2C2×#348811yescharacteristic
2008C2C2×#348911yescharacteristic
2009C2#6281111yescharacteristic
2010C2#6282711yescharacteristic
2011C2#6283111yescharacteristic
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×#3554C2semidirect
2. C22×#529C2semidirect
3. #59155C2semidirect
4. #59147C2semidirect
5. #59083C2semidirect
6. #59068C2semidirect
7. #45768C2semidirect
8. #45454C2semidirect
9. #39139C2semidirect
10. #39137C2semidirect
11. #38911C2semidirect
12. #38909C2semidirect
13. #38035C2semidirect
14. #38032C2semidirect
15. #37804C2semidirect
16. #37798C2semidirect
17. #37797C2semidirect
18. #37724C2semidirect
19. #37665C2semidirect
20. #37662C2semidirect
21. #37622C2semidirect
22. #37616C2semidirect
23. #37379C2semidirect
24. #37280C2semidirect
25. #36625C2semidirect
26. #36624C2semidirect
27. #36580C2semidirect
28. #36577C2semidirect
29. #36101C2semidirect
30. #36100C2semidirect
31. #36097C2semidirect
32. D4×C22⋊Q8C2semidirect
33. #35306C2semidirect
34. #35260C2semidirect
35. #34383C2semidirect
37. C2×#562C22semidirect
38. C2×#559C22semidirect
39. C2×#559C22semidirect
40. C2×#557C22semidirect
41. C2×#554C22semidirect
42. C2×#550C22semidirect
43. C2×D4×Q8C22semidirect
44. C2×#548C22semidirect
45. C2×#547C22semidirect
46. C2×#542C22semidirect
47. C2×#542C22semidirect
49. C2×#539C22semidirect
50. C2×#536C22semidirect
51. C2×#533C22semidirect
52. C2×#532C22semidirect
84. #2857C22semidirect
85. #2857C22semidirect
86. #2857C22semidirect
88. #2856C22semidirect
89. #2855C22semidirect
90. #2855C22semidirect
91. #2855C22semidirect
92. #2854C22semidirect
93. #2854C22semidirect
95. #2851C22semidirect
98. #2850C22semidirect
106. #2814C22semidirect
107. #2813C22semidirect
108. #2727C22semidirect
109. #2723C22semidirect
110. #2721C22semidirect
111. #2720C22semidirect
112. #2718C22semidirect
113. #2712C22semidirect
114. #2710C22semidirect
115. #2710C22semidirect
116. #2708C22semidirect
117. #2706C22semidirect
118. #2706C22semidirect
119. #2705C22semidirect
120. #2704C22semidirect
122. #2702C22semidirect
123. #2701C22semidirect
124. #2700C22semidirect
126. #2696C22semidirect
127. #2695C22semidirect
128. #2694C22semidirect
129. #2692C22semidirect
130. #2691C22semidirect
131. #2689C22semidirect
133. #2687C22semidirect
134. #2687C22semidirect
135. #2682C22semidirect
136. #2681C22semidirect
137. #2672C22semidirect
139. #2671C22semidirect
140. #2664C22semidirect
141. #2636C22semidirect
142. #2628C22semidirect
143. #2625C22semidirect
144. #2625C22semidirect
146. #2624C22semidirect
147. #2621C22semidirect
148. #2621C22semidirect
149. #2620C22semidirect
150. #2620C22semidirect
151. #2620C22semidirect
152. #2620C22semidirect
154. #2592C22semidirect
155. #2592C22semidirect
156. #2584C22semidirect
157. #2582C22semidirect
158. #2582C22semidirect
159. #2582C22semidirect
160. #2580C22semidirect
161. #2568C22semidirect
162. #2568C22semidirect
163. #2566C22semidirect
164. #2560C22semidirect
165. #2557C22semidirect
166. #2556C22semidirect
167. #2553C22semidirect
168. #2552C22semidirect
169. #2550C22semidirect
170. #2548C22semidirect
171. #2548C22semidirect
172. #2544C22semidirect
173. #2544C22semidirect
174. #2542C22semidirect
175. #2542C22semidirect
176. #2541C22semidirect
177. #2540C22semidirect
178. #2538C22semidirect
179. #2538C22semidirect
180. #2537C22semidirect
181. #2536C22semidirect
182. #2492C22semidirect
185. #2481C22semidirect
186. #2479C22semidirect
187. #2477C22semidirect
188. #2474C22semidirect
189. #2473C22semidirect
192. #2470C22semidirect
193. #2466C22semidirect
194. #2463C22semidirect
195. #2461C22semidirect
196. #2459C22semidirect
197. #2458C22semidirect
198. #2456C22semidirect
199. #2455C22semidirect
200. #2455C22semidirect
201. #2454C22semidirect
202. #2454C22semidirect
203. #2453C22semidirect
204. #2453C22semidirect
205. #2452C22semidirect
208. #2449C22semidirect
209. #2448C22semidirect
210. #2448C22semidirect
211. #2447C22semidirect
212. #2445C22semidirect
214. #2443C22semidirect
223. #2427C22semidirect
224. #2426C22semidirect
226. #2423C22semidirect
227. #2422C22semidirect
234. #2417C22semidirect
235. #2416C22semidirect
236. #2415C22semidirect
237. #2415C22semidirect
238. #2415C22semidirect
239. #2415C22semidirect
240. #2415C22semidirect
241. #2414C22semidirect
242. #2413C22semidirect
243. #2413C22semidirect
247. #2409C22semidirect
248. #2409C22semidirect
250. #2407C22semidirect
251. #2407C22semidirect
252. #2407C22semidirect
253. #2407C22semidirect
254. #2376C22semidirect
255. #2370C22semidirect
256. #2367C22semidirect
257. #2367C22semidirect
258. #2366C22semidirect
261. #2361C22semidirect
262. #2361C22semidirect
264. #2355C22semidirect
265. #2354C22semidirect
266. #2354C22semidirect
267. #2352C22semidirect
268. #2351C22semidirect
269. Q8×C4⋊C4C22semidirect
271. D4×C4⋊C4C22semidirect
272. D4×C4⋊C4C22semidirect
275. #2334C22semidirect
277. #2324C22semidirect
278. #2323C22semidirect
279. #2323C22semidirect
280. #2317C22semidirect
281. #2314C22semidirect
282. #2311C22semidirect
283. #2310C22semidirect
288. C4×C22⋊Q8C22semidirect
289. C4×C22⋊Q8C22semidirect
290. C4×C22⋊Q8C22semidirect
294. C4×#121C22semidirect
295. C4×#121C22semidirect
296. #2297C22semidirect
297. #2296C22semidirect
298. #2285C22semidirect
299. #2285C22semidirect
346. #529D4semidirect
1962. C22#3554semidirect

Maximal subgroups

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

subgroupindex
C2×#35542
C22×#5292
#591552
#591472
#590832
#590682
#457682
#454542
#391392
#391372
#389112
#389092
#380352
#380322
#378042
#377982
#377972
#377242
#376652
#376622
#376222
#376162
#373792
#372802
#366252
#366242
#365802
#365772
#361012
#361002
#360972
D4×C22⋊Q82
#353062
#352602
#343832