Finite Group Databasebeta

← #7681050

Subgroups — #7681050

Order 512.

8091 conjugacy classes of subgroups.

The subgroup lattice has 2043 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3489C211yesmaximal, characteristic, complemented
2C2×#3461C211yesmaximal, characteristic, complemented
3#59091C214yesmaximal, complemented
4#59088C214yesmaximal, complemented
5#59044C212yesmaximal, complemented
6#59040C212yesmaximal, complemented
7#59037C212yesmaximal, complemented
8#59036C212yesmaximal, complemented
9#45303C212yesmaximal, complemented
10#45249C212yesmaximal, complemented
11#45243C212yesmaximal, complemented
12#45079C212yesmaximal, complemented
13#44022C214yesmaximal, complemented
14#43974C214yesmaximal, complemented
15#39435C212yesmaximal, complemented
16#39433C212yesmaximal, complemented
17#37787C212yesmaximal, complemented
18#37781C212yesmaximal, complemented
19#37671C212yesmaximal, complemented
20#37665C212yesmaximal, complemented
21#36144C212yesmaximal, complemented
22#36130C212yesmaximal, complemented
23#35661C211yesmaximal, characteristic, complemented
24#35660C211yesmaximal, characteristic, complemented
25#35542C211yesmaximal, characteristic, complemented
26#35532C211yesmaximal, characteristic, complemented
27#35273C211yesmaximal, characteristic, complemented
28#35255C211yesmaximal, characteristic, complemented
29#35251C211yesmaximal, characteristic, complemented
30#34743C211yesmaximal, characteristic, complemented
31C2×#2423C211yesmaximal, characteristic, complemented
32#34268C211yesmaximal, characteristic, complemented
33#34267C211yesmaximal, characteristic, complemented
34#34257C211yesmaximal, characteristic, complemented
35C22⋊C4×#41C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic
37C23×#41C2211yescharacteristic
38#3489—216no—
39C2×D4×Q8C2212yes—
40C2×#548C2212yes—
41C2×#547C2212yes—
42C2×#547C2214yes—
43C2×#546C2212yes—
44C2×#546C2214yes—
45#3461—216no—
46C2×#544C2211yescharacteristic, complemented
47C2×#542C2212yescomplemented
48C2×#542C2212yescomplemented
49C2×#541C2212yescomplemented
50C2×#541C2212yescomplemented
51C2×#539C2214yescomplemented
52C2×#537C2212yes—
53C2×#537C2211yescharacteristic
54C2×#537C2211yescharacteristic
55C2×#537C2211yescharacteristic
56C2×#536C2212yes—
57C2×#536C2211yescharacteristic
58C2×#536C2211yescharacteristic, complemented
59C2×#533C2212yescomplemented
60C2×#533C2212yescomplemented
61C2×#532C2211yescharacteristic, complemented
62C2×#529C2212yescomplemented
63C2×#529C2212yescomplemented
64C2×#529C2214yescomplemented
65C2×#525C2212yes—
66C2×#525C2211yescharacteristic
67C2×#525C2211yescharacteristic
68C22×C22⋊Q8C2212yes—
69C22×C22⋊Q8C2211yescharacteristic
70C2×#520C2211yescharacteristic
71C2×#519C2211yescharacteristic, complemented
72C2×C4×#41C2211yescharacteristic
73C2×C4×#41C2211yescharacteristic
74C2×C4×#41C2211yescharacteristic, complemented
75C22×C4×Q8C2211yescharacteristic, complemented
76#2857C2212yescomplemented
77#2856C2212yescomplemented
78#2855C2212yescomplemented
79#2854C2212yescomplemented
80#2848C2212yes—
81#2847C2212yes—
82#2716C2214yescomplemented
83#2715C2214yescomplemented
84#2714C2214yescomplemented
85#2713C2214yescomplemented
86#2711C2214yescomplemented
87#2710C2214yescomplemented
88#2707C2214yescomplemented
89#2706C2214yescomplemented
90#2705C2214yescomplemented
91#2704C2214yescomplemented
92#2702C2214yes—
93#2700C2214yescomplemented
94#2695C2214yescomplemented
95#2694C2214yescomplemented
96#2694C2214yescomplemented
97#2692C2214yes—
98#2692C2214yescomplemented
99#2687C2214yescomplemented
100#2685C2214yes—
101#2685C2214yes—
102#2681C2214yescomplemented
103#2676C2214yescomplemented
104#2672C2214yescomplemented
105#2671C2214yescomplemented
106#2625C2212yescomplemented
107#2624C2212yescomplemented
108#2620C2212yescomplemented
109#2620C2212yescomplemented
110#2616C2212yes—
111#2615C2212yes—
112#2567C2212yescomplemented
113#2566C2212yescomplemented
114#2565C2212yescomplemented
115#2563C2212yes—
116#2562C2212yes—
117#2562C2212yescomplemented
118#2560C2214yescomplemented
119#2558C2214yescomplemented
120#2556C2214yes—
121#2555C2214yescomplemented
122#2554C2214yescomplemented
123#2553C2214yescomplemented
124#2550C2214yescomplemented
125#2549C2214yescomplemented
126#2547C2212yescomplemented
127#2542C2212yescomplemented
128#2540C2214yescomplemented
129#2539C2214yes—
130#2538C2212yes—
131#2538C2212yescomplemented
132#2538C2212yescomplemented
133#2538C2212yescomplemented
134#2537C2212yescomplemented
135#2537C2212yescomplemented
136#2536C2212yes—
137#2536C2212yescomplemented
138#2521C2214yescomplemented
139#2492C2212yes—
140#2491C2212yescomplemented
141#2490C2212yes—
142#2489C2212yescomplemented
143#2488C2214yescomplemented
144#2481C2214yescomplemented
145#2476C2214yescomplemented
146#2476C2214yescomplemented
147#2473C2214yescomplemented
148#2472C2214yes—
149#2472C2214yes—
150#2471C2214yescomplemented
151#2471C2214yescomplemented
152#2468C2214yescomplemented
153#2467C2214yes—
154#2466C2214yescomplemented
155#2465C2214yes—
156#2465C2214yescomplemented
157#2464C2214yescomplemented
158#2460C2214yes—
159#2459C2214yescomplemented
160#2457C2214yescomplemented
161#2454C2214yes—
162#2449C2214yescomplemented
163#2449C2214yescomplemented
164#2444C2214yescomplemented
165#2443C2214yescomplemented
166#2441C2212yescomplemented
167#2441C2212yescomplemented
168#2440C2212yescomplemented
169#2440C2212yescomplemented
170#2439C2214yescomplemented
171#2438C2214yescomplemented
172#2437C2214yes—
173#2436C2212yescomplemented
174#2434C2212yescomplemented
175#2432C2212yescomplemented
176#2431C2212yescomplemented
177#2430C2214yes—
178#2430C2214yescomplemented
179#2430C2214yescomplemented
180#2429C2211yescharacteristic
181#2429C2212yes—
182#2429C2211yescharacteristic, complemented
183#2429C2212yescomplemented
184#2428C2211yescharacteristic
185#2428C2211yescharacteristic, complemented
186#2427C2211yescharacteristic
187#2427C2211yescharacteristic, complemented
188#2426C2212yes—
189#2426C2211yescharacteristic
190#2426C2212yescomplemented
191#2426C2211yescharacteristic, complemented
192#2426C2214yescomplemented
193#2425C2214yescomplemented
194#2425C2212yescomplemented
195#2425C2212yescomplemented
196#2424C2214yes—
197#2424C2212yes—
198#2424C2212yes—
199#2423C2212yes—
200#2423C2212yes—
201#2423C2212yes—
202#2423C2212yes—
203#2423C2212yescomplemented
204#2423C2212yescomplemented
205#2423C2212yescomplemented
206#2423C2212yescomplemented
207#2423C2212yescomplemented
208#2422C2212yescomplemented
209#2421C2212yescomplemented
210#2420C2212yescomplemented
211#2418C2214yes—
212#2417C2214yescomplemented
213#2416C2214yescomplemented
214#2416C2214yescomplemented
215#2413C2214yescomplemented
216#2411C2214yes—
217#2410C2214yes—
218#2409C2212yes—
219#2409C2212yescomplemented
220#2409C2212yescomplemented
221#2408C2212yes—
222#2407C2212yes—
223#2407C2212yes—
224#2407C2212yescomplemented
225#2407C2212yescomplemented
226C2×#399C2212yes—
227#2392C2212yes—
228#2392C2212yescomplemented
229C2×#398C2212yescomplemented
230#2367C2212yescomplemented
231#2367C2212yescomplemented
232#2365C2212yescomplemented
233#2365C2212yescomplemented
234#2364C2214yescomplemented
235#2364C2214yescomplemented
236#2363C2214yes—
237#2363C2212yescomplemented
238#2362C2212yescomplemented
239#2361C2212yescomplemented
240#2361C2214yescomplemented
241#2360C2212yescomplemented
242#2360C2214yescomplemented
243#2359C2214yescomplemented
244#2359C2214yescomplemented
245#2342C2214yes—
246#2341C2211yescharacteristic
247#2341C2211yescharacteristic
248#2341C2212yescomplemented
249#2341C2212yescomplemented
250#2341C2212yescomplemented
251#2341C2212yescomplemented
252Q8×C22⋊C4C2211yescharacteristic
253Q8×C22⋊C4C2211yescharacteristic
254Q8×C22⋊C4C2212yescomplemented
255Q8×C22⋊C4C2212yescomplemented
256Q8×C22⋊C4C2212yescomplemented
257Q8×C22⋊C4C2212yescomplemented
258#2339C2211yescharacteristic
259#2339C2212yes—
260#2339C2212yes—
261#2339C2211yescharacteristic
262D4×C22⋊C4C2211yescharacteristic
263D4×C22⋊C4C2211yescharacteristic
264D4×C22⋊C4C2212yes—
265D4×C22⋊C4C2212yes—
266#2324C2212yescomplemented
267#2323C2212yescomplemented
268#2323C2212yescomplemented
269#2323C2212yescomplemented
270#2317C2211yescharacteristic, complemented
271#2311C2211yescharacteristic
272#2311C2211yescharacteristic
273#2311C2211yescharacteristic, complemented
274#2311C2211yescharacteristic, complemented
275#2311C2214yescomplemented
276#2311C2211yescharacteristic, complemented
277C4×C22⋊Q8C2212yescomplemented
278C4×C22⋊Q8C2212yescomplemented
279C4×C22⋊Q8C2212yescomplemented
280C4×#121C2212yes—
281C4×#121C2212yescomplemented
282C4×#121C2212yescomplemented
283#2297C2212yes—
284#2297C2211yescharacteristic
285#2297C2212yes—
286#2297C2211yescharacteristic
287#2297C2211yescharacteristic, complemented
288#2297C2214yescomplemented
289#2296C2211yescharacteristic, complemented
290C2×#391C2211yescharacteristic, complemented
291C2×#389C2211yescharacteristic, complemented
292C2×#388C2212yes—
293C2×#387C2212yescomplemented
294C2×#384C2211yescharacteristic, complemented
295#2280C2212yes—
296#2280C2211yescharacteristic
297C2×#380C2211yescharacteristic
298#2274C2211yescharacteristic, complemented
299C2×C4×C22⋊C4C2212yes—
300C2×C4×C22⋊C4C2211yescharacteristic
301C2×2−1+4—28no—
302C2×2−1+4—28no—
303C2×2−1+4—44no—
304C22×#41—28no—
305C22×#41—28no—
306C22×#41—44no—
307C22×#41C2311yescharacteristic
308C22×#41C2311yescharacteristic
309C22×#41C2311yescharacteristic
310C22×#41C2312yes—
311C22×#41C2311yescharacteristic
312C22×#41C2312yes—
313C22×#41C2314yes—
314C22×#41C2312yes—
315C22×#41C2312yes—
316C22×#41C2311yescharacteristic
317C22×#41C2311yescharacteristic
318C23×Q8C2311yescharacteristic
319C23×Q8C2312yes—
320C23×Q8C2312yes—
321C23×Q8C2311yescharacteristic
322C23×D4C2311yescharacteristic
323C23×D4C2312yes—
324C24×C4C2311yescharacteristic
325C24×C4C2312yes—
326D4×Q8—216no—
327#548—216no—
328#547—216no—
329#547—232no—
330#546—216no—
331#546—232no—
332#544—28no—
333#542—216no—
334#542—216no—
335#541—216no—
336#541—216no—
337#539—232no—
338#537—28no—
339#537—28no—
340#537—28no—
341#537—216no—
342#536—28no—
343#536—216no—
344#536D4116yescomplemented
345#533—216no—
346#533—216no—
347#532—44no—
348C2×C4⋊Q8C2312yes—
349C2×C4⋊Q8C2312yes—
350C2×C4⋊Q8C2312yes—
351C2×C4⋊Q8C2314yes—
352C2×C4⋊Q8C2311yescharacteristic
353C2×C4⋊Q8C2312yes—
354C2×#127C2311yescharacteristic
355#529—216no—
356#529—232no—
357#529—216no—
358C2×#126C2314yes—
359C2×#126C2314yes—
360C2×#126C2314yes—
361C2×#126C2314yes—
362C2×#125C2312yes—
363C2×#125C2314yes—
364C2×#125C2312yes—
365C2×#125C2314yes—
366C2×#125C2314yes—
367C2×#124C2314yes—
368C2×#124C2312yes—
369C2×#124C2314yes—
370C2×#124C2311yescharacteristic
371C2×#124C2311yescharacteristic
372C2×#124C2314yes—
373C2×#124C2312yes—
374#525—216no—
375#525—28no—
376#525—44no—
377C2×#123C2314yes—
378C2×#123C2312yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2312yes—
385C2×#123C2314yes—
386C2×#123C2314yes—
387C2×C22⋊Q8—28no—
388C2×C22⋊Q8—216no—
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2311yescharacteristic
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×#121C2312yes—
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2314yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2314yes—
423C2×#121C2311yescharacteristic
424C2×#121C2311yescharacteristic
425C2×#121C2314yes—
426C2×#121C2314yes—
427C2×#121C2312yes—
428C2×#121C2314yes—
429C2×#121C2314yes—
430C2×#121C2311yescharacteristic
431C2×#121C2314yes—
432C2×#121C2311yescharacteristic
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2314yes—
437C2×#120C2312yes—
438C2×#120C2314yes—
439C2×#120C2312yes—
440C2×#120C2314yes—
441#520—28no—
442#519—44no—
443C4×#41—28no—
444C4×#41—28no—
445C4×#41—44no—
446C2×C4×Q8—28no—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2314yes—
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2311yescharacteristic
460C2×C4×Q8C2311yescharacteristic
461C2×C4×Q8C2312yes—
462C2×C4×Q8C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2314yes—
473C2×C4×D4C2314yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2314yes—
477C2×C4×D4C2314yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2314yes—
487C2×#117C2311yescharacteristic
488C2×#117C2311yescharacteristic
489C2×#117C2311yescharacteristic
490C2×#117C2312yes—
491C2×#117C2314yes—
492C2×#117C2312yes—
493C2×#117C2314yes—
494C2×#117C2312yes—
495C2×#117C2314yes—
496C2×#117C2312yes—
497C2×#117C2311yescharacteristic
498C22×C4⋊C4C2311yescharacteristic
499C22×C4⋊C4C2311yescharacteristic
500C22×C4⋊C4C2312yes—
501C22×C4⋊C4C2311yescharacteristic
502C22×C4⋊C4C2312yes—
503C22×C4⋊C4C2314yes—
504C22×C4⋊C4C2312yes—
505C22×C4⋊C4C2312yes—
506C22×C4⋊C4C2312yes—
507C22×C4⋊C4C2312yes—
508C22×C22⋊C4C2312yes—
509C22×C22⋊C4C2311yescharacteristic
510C22×C22⋊C4C2314yes—
511C22×C22⋊C4C2312yes—
512C22×C22⋊C4C2311yescharacteristic
513C22×C22⋊C4C2312yes—
514C22×C22⋊C4C2312yes—
515C22×C42C2312yes—
516C22×C42C2311yescharacteristic
517C22×C42C2312yes—
518C22×C42C2311yescharacteristic
519C22×C42C2312yes—
520C22×C42C2312yes—
521#400C2314yes—
522#400C2314yes—
523#400C2314yes—
524#399C2314yes—
525#399C2314yes—
526#399C2314yes—
527#399C2314yes—
528#399C2314yes—
529#399C2314yes—
530#399C2314yes—
531#398C2314yes—
532#398C2314yes—
533#398C2314yes—
534#398C2314yes—
535#398C2314yes—
536#398C2314yes—
537#398C2314yes—
538#398C2312yes—
539#398C2312yes—
540#398C2314yes—
541#398C2314yes—
542#397C2314yes—
543#397C2314yes—
544#397C2314yes—
545#397C2312yes—
546#397C2312yes—
547#397C2314yes—
548#397C2314yes—
549#396C2314yes—
550#396C2314yes—
551#396C2314yes—
552#396C2314yes—
553#396C2314yes—
554#396C2314yes—
555#396C2312yes—
556#396C2312yes—
557#396C2312yes—
558#396C2312yes—
559#396C2314yes—
560#396C2314yes—
561#396C2314yes—
562#396C2314yes—
563#395C2314yes—
564#395C2314yes—
565#395C2314yes—
566#395C2314yes—
567#395C2314yes—
568#394C2312yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2312yes—
581#394C2312yes—
582#394C2312yes—
583#394C2312yes—
584#394C2312yes—
585#394C2314yes—
586#394C2314yes—
587#394C2314yes—
588#394C2314yes—
589#393C2314yes—
590#393C2314yes—
591#393C2314yes—
592#393C2314yes—
593#393C2314yes—
594#392C2314yes—
595#392C2314yes—
596#392C2314yes—
597#392C2312yes—
598#392C2312yes—
599#392C2314yes—
600#392C2314yes—
601#391C2312yes—
602#391C2311yescharacteristic
603#391C2312yes—
604#391C2312yes—
605#391C2312yes—
606#391C2314yes—
607#391C2314yes—
608#391C2312yes—
609#391C2312yes—
610#391C2311yescharacteristic
611#391C2311yescharacteristic
612#391C2312yes—
613#391C2311yescharacteristic
614#391C2312yes—
615#391C2312yes—
616#391C2312yes—
617#391C2311yescharacteristic
618#391C2311yescharacteristic
619#391C2314yes—
620#391C2314yes—
621#391C2314yes—
622#391C2312yes—
623#391C2312yes—
624#391C2312yes—
625#390C2314yes—
626#390C2314yes—
627#390C2311yescharacteristic
628#390C2312yes—
629#390C2312yes—
630#390C2312yes—
631#390C2314yes—
632#390C2314yes—
633#390C2312yes—
634#390C2312yes—
635#390C2311yescharacteristic
636#390C2314yes—
637#390C2311yescharacteristic
638#390C2311yescharacteristic
639#390C2312yes—
640#390C2312yes—
641#390C2312yes—
642#390C2312yes—
643#390C2311yescharacteristic
644#390C2311yescharacteristic
645#390C2314yes—
646#390C2314yes—
647#390C2314yes—
648#390C2314yes—
649#390C2314yes—
650#390C2312yes—
651#390C2312yes—
652#389C2314yes—
653#389C2314yes—
654#389C2312yes—
655#389C2312yes—
656#389C2311yescharacteristic
657#389C2311yescharacteristic
658#389C2312yes—
659#389C2314yes—
660#389C2314yes—
661#389C2314yes—
662#389C2312yes—
663#389C2314yes—
664#389C2314yes—
665#389C2312yes—
666#389C2314yes—
667#389C2312yes—
668#389C2314yes—
669#389C2312yes—
670#389C2312yes—
671#389C2311yescharacteristic
672#389C2311yescharacteristic
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2312yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2312yes—
697#388C2312yes—
698#388C2312yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2312yes—
717#386C2314yes—
718#386C2312yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2312yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#386C2312yes—
730#386C2312yes—
731#386C2312yes—
732#386C2312yes—
733#386C2312yes—
734#386C2312yes—
735#386C2312yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2312yes—
740#386C2314yes—
741#386C2314yes—
742#386C2312yes—
743#386C2312yes—
744#386C2312yes—
745#386C2312yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2312yes—
756#385C2312yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#384C2312yes—
764#384C2312yes—
765#384C2312yes—
766#384C2312yes—
767#384C2312yes—
768#382C2314yes—
769#382C2312yes—
770#381C2312yes—
771#381C2312yes—
772#381C2312yes—
773#381C2314yes—
774#380C2311yescharacteristic
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2311yescharacteristic
779#380C2312yes—
780#380C2312yes—
781#380C2311yescharacteristic
782#380C2312yes—
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2314yes—
790#380C2314yes—
791#380C2314yes—
792#380C2314yes—
793#380C2312yes—
794#380C2312yes—
795#380C2312yes—
796#380C2312yes—
797#380C2312yes—
798#380C2311yescharacteristic
799#380C2314yes—
800#380C2314yes—
801#380C2312yes—
802#380C2312yes—
803#380C2312yes—
804#379C2314yes—
805#379C2312yes—
806#379C2312yes—
807#379C2312yes—
808C4×C4⋊C4C2314yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2314yes—
816C4×C4⋊C4C2314yes—
817C4×C22⋊C4C2314yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2311yescharacteristic
824C4×C22⋊C4C2311yescharacteristic
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C2×#95C2312yes—
847C2×#95C2311yescharacteristic
848C2×#95C2311yescharacteristic
849C2×#95C2312yes—
850C2×#95C2312yes—
851C2×#95C2312yes—
852C2×#95C2312yes—
853C2×#95C2312yes—
854C25C2411yescharacteristic
855C25C2412yes—
8562−1+4—464no—
857C2×#41—28no—
858C2×#41—28no—
859C2×#41—24no—
860C2×#41—24no—
861C2×#41—28no—
862C2×#41—24no—
863C2×#41—28no—
864C2×#41—24no—
865C2×#41—216no—
866C2×#41—28no—
867C2×#41—24no—
868C2×#41—24no—
869C2×#41—24no—
870C2×#41—28no—
871C2×#41—216no—
872C2×#41—24no—
873C2×#41—24no—
874C2×#41—28no—
875C2×#41—28no—
876C2×#41—24no—
877C2×#41—24no—
878C2×#41—24no—
879C2×#41—24no—
880C2×#41—24no—
881C2×#41—44no—
882C2×#41—44no—
883C2×#41—48no—
884C2×#41—42no—
885C2×#41—42no—
886C2×#41—44no—
887C2×#41—44no—
888C2×#41—464no—
889C2×#41C2×D418yes—
890C2×#41#4118yes—
891C22×Q8—28no—
892C22×Q8—28no—
893C22×Q8—24no—
894C22×Q8—24no—
895C22×Q8—28no—
896C22×Q8—24no—
897C22×Q8—28no—
898C22×Q8—24no—
899C22×Q8—42no—
900C22×Q8—44no—
901C22×Q8—44no—
902C22×Q8C2×D418yes—
903C22×Q8C2411yescharacteristic
904C22×Q8C2411yescharacteristic
905C22×Q8C2414yes—
906C22×Q8C2412yes—
907C22×Q8C2412yes—
908C22×Q8C2412yes—
909C22×Q8C2411yescharacteristic
910C22×Q8C2411yescharacteristic
911C22×Q8C2414yes—
912C22×D4—28no—
913C22×D4—24no—
914C22×D4—28no—
915C22×D4—24no—
916C22×D4—42no—
917C22×D4—44no—
918C22×D4C2412yes—
919C22×D4C2411yescharacteristic
920C22×D4C2412yes—
921C22×D4C2411yescharacteristic
922C22×D4C2412yes—
923C22×D4C2414yes—
924C22×D4C2412yes—
925C22×D4C2412yes—
926C22×D4C2412yes—
927C22×D4C2412yes—
928C22×D4C2411yescharacteristic
929C22×D4C2412yes—
930C22×D4C2411yescharacteristic
931C22×D4C2412yes—
932C22×D4C2414yes—
933C22×D4C2412yes—
934C22×D4C2414yes—
935C22×D4C2414yes—
936C22×D4C2412yes—
937C22×D4C2412yes—
938C22×D4C2412yes—
939C23×C4—28no—
940C23×C4—24no—
941C23×C4—28no—
942C23×C4—24no—
943C23×C4—24no—
944C23×C4—44no—
945C23×C4C2411yescharacteristic
946C23×C4C2412yes—
947C23×C4C2412yes—
948C23×C4C2411yescharacteristic
949C23×C4C2411yescharacteristic
950C23×C4C2411yescharacteristic
951C23×C4C2411yescharacteristic
952C23×C4C2411yescharacteristic
953C23×C4C2411yescharacteristic
954C23×C4C2414yes—
955C23×C4C2412yes—
956C23×C4C2411yescharacteristic
957C23×C4C2412yes—
958C23×C4C2412yes—
959C23×C4C2414yes—
960C23×C4C2412yes—
961C23×C4C2412yes—
962C23×C4C2412yes—
963C23×C4C2412yes—
964C23×C4C2412yes—
965C23×C4C2412yes—
966C23×C4C2411yescharacteristic
967C23×C4C2412yes—
968C23×C4C2414yes—
969C23×C4C2412yes—
970C23×C4C2412yes—
971C23×C4C2412yes—
972C23×C4C2412yes—
973C23×C4C2412yes—
974C23×C4C2411yescharacteristic
975C4⋊Q8—28no—
976C4⋊Q8—28no—
977C4⋊Q8—216no—
978C4⋊Q8—28no—
979C4⋊Q8—42no—
980C4⋊Q8C2×D4116yes—
981#127—42no—
982#126—216no—
983#126—216no—
984#126—216no—
985#126—216no—
986#125—216no—
987#125—28no—
988#125—216no—
989#125—216no—
990#125—28no—
991#124—28no—
992#124—216no—
993#124—216no—
994#124—42no—
995#124—42no—
996#124—84no—
997#124C2×D4116yes—
998#123—216no—
999#123—216no—
1000#123—216no—
1001#123—28no—
1002#123—216no—
1003#123—216no—
1004#123—216no—
1005#123—44no—
1006#123—84no—
1007#123C2×D4132yes—
1008C22⋊Q8—28no—
1009C22⋊Q8—28no—
1010C22⋊Q8—28no—
1011C22⋊Q8—28no—
1012C22⋊Q8—28no—
1013C22⋊Q8—28no—
1014C22⋊Q8—28no—
1015C22⋊Q8—28no—
1016C22⋊Q8—28no—
1017C22⋊Q8—28no—
1018C22⋊Q8—28no—
1019C22⋊Q8—28no—
1020C22⋊Q8—24no—
1021C22⋊Q8—216no—
1022C22⋊Q8—24no—
1023C22⋊Q8—216no—
1024C22⋊Q8—216no—
1025C22⋊Q8—216no—
1026C22⋊Q8—216no—
1027C22⋊Q8—216no—
1028C22⋊Q8—48no—
1029C22⋊Q8—42no—
1030C22⋊Q8—42no—
1031C22⋊Q8—84no—
1032C22⋊Q8C2×D4116yes—
1033C22⋊Q8C2×D4116yes—
1034#121—216no—
1035#121—28no—
1036#121—216no—
1037#121—28no—
1038#121—28no—
1039#121—216no—
1040#121—28no—
1041#121—28no—
1042#121—28no—
1043#121—24no—
1044#121—24no—
1045#121—216no—
1046#121—216no—
1047#121—216no—
1048#121—28no—
1049#121—44no—
1050#121—48no—
1051#121—42no—
1052#121—42no—
1053#121—44no—
1054#121—44no—
1055#121—84no—
1056#120—216no—
1057#120—28no—
1058#120—44no—
1059#120—84no—
1060C4×Q8—28no—
1061C4×Q8—28no—
1062C4×Q8—28no—
1063C4×Q8—28no—
1064C4×Q8—24no—
1065C4×Q8—24no—
1066C4×Q8—24no—
1067C4×Q8—24no—
1068C4×Q8—216no—
1069C4×Q8—28no—
1070C4×Q8—42no—
1071C4×Q8—42no—
1072C4×Q8—44no—
1073C4×Q8—44no—
1074C4×Q8—44no—
1075C4×Q8—44no—
1076C4×D4—24no—
1077C4×D4—28no—
1078C4×D4—28no—
1079C4×D4—24no—
1080C4×D4—24no—
1081C4×D4—24no—
1082C4×D4—216no—
1083C4×D4—28no—
1084C4×D4—28no—
1085C4×D4—216no—
1086C4×D4—216no—
1087C4×D4—216no—
1088C4×D4—28no—
1089C4×D4—28no—
1090C4×D4—28no—
1091C4×D4—42no—
1092C4×D4—42no—
1093C4×D4—44no—
1094C4×D4—44no—
1095C4×D4—44no—
1096C4×D4—44no—
1097C4×D4—44no—
1098C4×D4—44no—
1099C4×D4—84no—
1100#117—24no—
1101#117—28no—
1102#117—24no—
1103#117—24no—
1104#117—28no—
1105#117—216no—
1106#117—216no—
1107#117—28no—
1108#117—44no—
1109#117—48no—
1110#117C2×D418yes—
1111C2×C4⋊C4—24no—
1112C2×C4⋊C4—28no—
1113C2×C4⋊C4—24no—
1114C2×C4⋊C4—28no—
1115C2×C4⋊C4—24no—
1116C2×C4⋊C4—28no—
1117C2×C4⋊C4—216no—
1118C2×C4⋊C4—44no—
1119C2×C4⋊C4—82no—
1120C2×C4⋊C4—82no—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2411yescharacteristic
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2411yescharacteristic
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2414yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2412yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2414yes—
1170C2×C4⋊C4C2414yes—
1171C2×C4⋊C4C2412yes—
1172C2×C4⋊C4C2411yescharacteristic
1173C2×C4⋊C4C2414yes—
1174C2×C4⋊C4C2411yescharacteristic
1175C2×C4⋊C4C2414yes—
1176C2×C22⋊C4—28no—
1177C2×C22⋊C4—216no—
1178C2×C22⋊C4—24no—
1179C2×C22⋊C4—28no—
1180C2×C22⋊C4—42no—
1181C2×C22⋊C4—44no—
1182C2×C22⋊C4—82no—
1183C2×C22⋊C4C2411yescharacteristic
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2411yescharacteristic
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2411yescharacteristic
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2411yescharacteristic
1195C2×C22⋊C4C2411yescharacteristic
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2411yescharacteristic
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2411yescharacteristic
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2412yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2412yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2412yes—
1248C2×C22⋊C4C2412yes—
1249C2×C22⋊C4C2414yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2412yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2411yescharacteristic
1254C2×C42—24no—
1255C2×C42—28no—
1256C2×C42—28no—
1257C2×C42—24no—
1258C2×C42—28no—
1259C2×C42—44no—
1260C2×C42C2411yescharacteristic
1261C2×C42C2411yescharacteristic
1262C2×C42C2412yes—
1263C2×C42C2412yes—
1264C2×C42C2414yes—
1265C2×C42C2412yes—
1266C2×C42C2411yescharacteristic
1267C2×C42C2412yes—
1268C2×C42C2414yes—
1269C2×C42C2412yes—
1270C2×C42C2411yescharacteristic
1271C2×C42C2411yescharacteristic
1272C2×C42C2411yescharacteristic
1273C2×C42C2411yescharacteristic
1274C2×C42C2412yes—
1275C2×C42C2412yes—
1276C2×C42C2414yes—
1277C2×C42C2411yescharacteristic
1278C2×C42C2414yes—
1279C2×C42C2414yes—
1280C2×C42C2412yes—
1281C2×C42C2412yes—
1282C2×C42C2414yes—
1283C2×C42C2414yes—
1284C2×C42C2412yes—
1285#95C2411yescharacteristic
1286#95C2411yescharacteristic
1287#95C2412yes—
1288#95C2411yescharacteristic
1289#95C2411yescharacteristic
1290#95C2412yes—
1291#95C2412yes—
1292#95C2411yescharacteristic
1293#95C2412yes—
1294#95C2414yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2411yescharacteristic
1298#95C2411yescharacteristic
1299#95C2411yescharacteristic
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2412yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2412yes—
1312#95C2412yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2412yes—
1317#95C2414yes—
1318#95C2412yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2412yes—
1323#95C2412yes—
1324#95C2412yes—
1325#95C2412yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329#95C2412yes—
1330#95C2412yes—
1331#95C2414yes—
1332#95C2414yes—
1333#95C2414yes—
1334#95C2414yes—
1335C24—22no—
1336C24—24no—
1337C24—22no—
1338C24—24no—
1339C24—22no—
1340C24—22no—
1341C24—24no—
1342C24—41no—
1343C24—42no—
1344C24—41no—
1345C24—42no—
1346C24—41no—
1347C24—42no—
1348C24—42no—
1349C24C2511yescharacteristic
1350C24C2512yes—
1351C24C2512yes—
1352C24C2512yes—
1353C24C2512yes—
1354C24C2511yescharacteristic
1355C24C2511yescharacteristic
1356#41—232no—
1357#41—232no—
1358#41—432no—
1359#41—464no—
1360#41—432no—
1361#41—432no—
1362#41—416no—
1363#41—416no—
1364#41—432no—
1365#41—416no—
1366#41—416no—
1367C2×Q8—232no—
1368C2×Q8—22no—
1369C2×Q8—22no—
1370C2×Q8—22no—
1371C2×Q8—28no—
1372C2×Q8—24no—
1373C2×Q8—28no—
1374C2×Q8—24no—
1375C2×Q8—24no—
1376C2×Q8—22no—
1377C2×Q8—22no—
1378C2×Q8—28no—
1379C2×Q8—22no—
1380C2×Q8—24no—
1381C2×Q8—24no—
1382C2×Q8—24no—
1383C2×Q8—22no—
1384C2×Q8—22no—
1385C2×Q8—22no—
1386C2×Q8—22no—
1387C2×Q8—44no—
1388C2×Q8—42no—
1389C2×Q8—44no—
1390C2×Q8—44no—
1391C2×Q8—432no—
1392C2×Q8—416no—
1393C2×Q8—432no—
1394C2×Q8C22×D418yes—
1395C2×Q8C22×D414yes—
1396C2×Q8C22×D418yes—
1397C2×Q8C2×#4114yes—
1398C2×D4—24no—
1399C2×D4—24no—
1400C2×D4—24no—
1401C2×D4—24no—
1402C2×D4—24no—
1403C2×D4—24no—
1404C2×D4—24no—
1405C2×D4—24no—
1406C2×D4—24no—
1407C2×D4—24no—
1408C2×D4—24no—
1409C2×D4—28no—
1410C2×D4—24no—
1411C2×D4—24no—
1412C2×D4—24no—
1413C2×D4—24no—
1414C2×D4—28no—
1415C2×D4—28no—
1416C2×D4—28no—
1417C2×D4—24no—
1418C2×D4—22no—
1419C2×D4—24no—
1420C2×D4—22no—
1421C2×D4—28no—
1422C2×D4—22no—
1423C2×D4—24no—
1424C2×D4—24no—
1425C2×D4—22no—
1426C2×D4—22no—
1427C2×D4—24no—
1428C2×D4—22no—
1429C2×D4—22no—
1430C2×D4—22no—
1431C2×D4—22no—
1432C2×D4—22no—
1433C2×D4—24no—
1434C2×D4—24no—
1435C2×D4—42no—
1436C2×D4—42no—
1437C2×D4—42no—
1438C2×D4—42no—
1439C2×D4—44no—
1440C2×D4—42no—
1441C2×D4—42no—
1442C2×D4—42no—
1443C2×D4—42no—
1444C2×D4—44no—
1445C2×D4—42no—
1446C2×D4—44no—
1447C2×D4—42no—
1448C2×D4—42no—
1449C2×D4—44no—
1450C2×D4—44no—
1451C2×D4—42no—
1452C2×D4—44no—
1453C2×D4—42no—
1454C2×D4—42no—
1455C2×D4—44no—
1456C2×D4—42no—
1457C2×D4—432no—
1458C2×D4—416no—
1459C2×D4C22×D418yes—
1460C2×D4C22×D414yes—
1461C2×D4C2×#4118yes—
1462C2×D4C2×#4114yes—
1463C22×C4—24no—
1464C22×C4—24no—
1465C22×C4—24no—
1466C22×C4—24no—
1467C22×C4—24no—
1468C22×C4—24no—
1469C22×C4—22no—
1470C22×C4—24no—
1471C22×C4—22no—
1472C22×C4—24no—
1473C22×C4—24no—
1474C22×C4—22no—
1475C22×C4—28no—
1476C22×C4—22no—
1477C22×C4—22no—
1478C22×C4—22no—
1479C22×C4—22no—
1480C22×C4—24no—
1481C22×C4—24no—
1482C22×C4—24no—
1483C22×C4—24no—
1484C22×C4—24no—
1485C22×C4—24no—
1486C22×C4—28no—
1487C22×C4—24no—
1488C22×C4—28no—
1489C22×C4—24no—
1490C22×C4—24no—
1491C22×C4—22no—
1492C22×C4—22no—
1493C22×C4—22no—
1494C22×C4—22no—
1495C22×C4—24no—
1496C22×C4—22no—
1497C22×C4—24no—
1498C22×C4—22no—
1499C22×C4—24no—
1500C22×C4—22no—
1501C22×C4—22no—
1502C22×C4—28no—
1503C22×C4—24no—
1504C22×C4—24no—
1505C22×C4—22no—
1506C22×C4—22no—
1507C22×C4—24no—
1508C22×C4—22no—
1509C22×C4—22no—
1510C22×C4—22no—
1511C22×C4—24no—
1512C22×C4—22no—
1513C22×C4—24no—
1514C22×C4—22no—
1515C22×C4—24no—
1516C22×C4—28no—
1517C22×C4—24no—
1518C22×C4—24no—
1519C22×C4—41no—
1520C22×C4—42no—
1521C22×C4—42no—
1522C22×C4—42no—
1523C22×C4—42no—
1524C22×C4—41no—
1525C22×C4—42no—
1526C22×C4—41no—
1527C22×C4—44no—
1528C22×C4—44no—
1529C22×C4—432no—
1530C22×C4—42no—
1531C22×C4—42no—
1532C22×C4—41no—
1533C22×C4—42no—
1534C22×C4—42no—
1535C22×C4—42no—
1536C22×C4—42no—
1537C22×C4—42no—
1538C22×C4—41no—
1539C22×C4—42no—
1540C22×C4—42no—
1541C22×C4—44no—
1542C22×C4—42no—
1543C22×C4—42no—
1544C22×C4—44no—
1545C22×C4—42no—
1546C22×C4—42no—
1547C22×C4—42no—
1548C22×C4—416no—
1549C22×C4C22×D418yes—
1550C22×C4C22×D418yes—
1551C22×C4C22×D414yes—
1552C22×C4C2×#4118yes—
1553C22×C4C2×#4114yes—
1554C22×C4H(5,𝔽2)14yes—
1555C22×C4C2514yes—
1556C22×C4C2512yes—
1557C22×C4C2511yescharacteristic
1558C22×C4C2511yescharacteristic
1559C22×C4C2511yescharacteristic
1560C22×C4C2512yes—
1561C22×C4C2512yes—
1562C22×C4C2512yes—
1563C22×C4C2512yes—
1564C22×C4C2512yes—
1565C22×C4C2511yescharacteristic
1566C22×C4C2511yescharacteristic
1567C22×C4C2511yescharacteristic
1568C22×C4C2511yescharacteristic
1569C22×C4C2512yes—
1570C22×C4C2514yes—
1571C22×C4C2514yes—
1572C22×C4C2512yes—
1573C22×C4C2512yes—
1574C22×C4C2512yes—
1575C22×C4C2514yes—
1576C22×C4C2512yes—
1577C22×C4C2512yes—
1578C22×C4C2511yescharacteristic
1579C22×C4C2511yescharacteristic
1580C22×C4C2511yescharacteristic
1581C22×C4C2511yescharacteristic
1582C22×C4C2511yescharacteristic
1583C4⋊C4—24no—
1584C4⋊C4—28no—
1585C4⋊C4—24no—
1586C4⋊C4—28no—
1587C4⋊C4—24no—
1588C4⋊C4—24no—
1589C4⋊C4—24no—
1590C4⋊C4—28no—
1591C4⋊C4—28no—
1592C4⋊C4—28no—
1593C4⋊C4—28no—
1594C4⋊C4—24no—
1595C4⋊C4—24no—
1596C4⋊C4—22no—
1597C4⋊C4—22no—
1598C4⋊C4—24no—
1599C4⋊C4—24no—
1600C4⋊C4—28no—
1601C4⋊C4—28no—
1602C4⋊C4—28no—
1603C4⋊C4—24no—
1604C4⋊C4—28no—
1605C4⋊C4—28no—
1606C4⋊C4—28no—
1607C4⋊C4—24no—
1608C4⋊C4—24no—
1609C4⋊C4—28no—
1610C4⋊C4—22no—
1611C4⋊C4—22no—
1612C4⋊C4—22no—
1613C4⋊C4—22no—
1614C4⋊C4—24no—
1615C4⋊C4—28no—
1616C4⋊C4—24no—
1617C4⋊C4—44no—
1618C4⋊C4—44no—
1619C4⋊C4—44no—
1620C4⋊C4—44no—
1621C4⋊C4—44no—
1622C4⋊C4—42no—
1623C4⋊C4—42no—
1624C4⋊C4—42no—
1625C4⋊C4—44no—
1626C4⋊C4—44no—
1627C4⋊C4—42no—
1628C4⋊C4—42no—
1629C4⋊C4—42no—
1630C4⋊C4—42no—
1631C4⋊C4—44no—
1632C4⋊C4—42no—
1633C4⋊C4—44no—
1634C4⋊C4C22×D414yes—
1635C4⋊C4C22×D4116yes—
1636C4⋊C4C22×D414yes—
1637C4⋊C4C22×D4116yes—
1638C22⋊C4—28no—
1639C22⋊C4—24no—
1640C22⋊C4—24no—
1641C22⋊C4—24no—
1642C22⋊C4—28no—
1643C22⋊C4—28no—
1644C22⋊C4—24no—
1645C22⋊C4—24no—
1646C22⋊C4—22no—
1647C22⋊C4—24no—
1648C22⋊C4—28no—
1649C22⋊C4—24no—
1650C22⋊C4—28no—
1651C22⋊C4—28no—
1652C22⋊C4—24no—
1653C22⋊C4—24no—
1654C22⋊C4—28no—
1655C22⋊C4—28no—
1656C22⋊C4—24no—
1657C22⋊C4—24no—
1658C22⋊C4—28no—
1659C22⋊C4—24no—
1660C22⋊C4—28no—
1661C22⋊C4—28no—
1662C22⋊C4—24no—
1663C22⋊C4—22no—
1664C22⋊C4—24no—
1665C22⋊C4—22no—
1666C22⋊C4—24no—
1667C22⋊C4—22no—
1668C22⋊C4—22no—
1669C22⋊C4—24no—
1670C22⋊C4—42no—
1671C22⋊C4—41no—
1672C22⋊C4—41no—
1673C22⋊C4—42no—
1674C22⋊C4—44no—
1675C22⋊C4—44no—
1676C22⋊C4—42no—
1677C22⋊C4—42no—
1678C22⋊C4—44no—
1679C22⋊C4—44no—
1680C22⋊C4—42no—
1681C22⋊C4—42no—
1682C22⋊C4—42no—
1683C22⋊C4—42no—
1684C22⋊C4—42no—
1685C22⋊C4—42no—
1686C22⋊C4—42no—
1687C22⋊C4—42no—
1688C22⋊C4—42no—
1689C22⋊C4—42no—
1690C22⋊C4—42no—
1691C22⋊C4—42no—
1692C22⋊C4—42no—
1693C22⋊C4—44no—
1694C22⋊C4—44no—
1695C22⋊C4—44no—
1696C22⋊C4—42no—
1697C22⋊C4—44no—
1698C22⋊C4—44no—
1699C22⋊C4—44no—
1700C22⋊C4—44no—
1701C22⋊C4—42no—
1702C22⋊C4—42no—
1703C22⋊C4—44no—
1704C22⋊C4—42no—
1705C22⋊C4C22×D4116yes—
1706C22⋊C4C22×D418yes—
1707C22⋊C4C22×D4116yes—
1708C22⋊C42−1+414yescomplemented
1709C42—22no—
1710C42—22no—
1711C42—24no—
1712C42—28no—
1713C42—24no—
1714C42—22no—
1715C42—22no—
1716C42—24no—
1717C42—24no—
1718C42—24no—
1719C42—28no—
1720C42—28no—
1721C42—22no—
1722C42—22no—
1723C42—22no—
1724C42—22no—
1725C42—24no—
1726C42—24no—
1727C42—42no—
1728C42—42no—
1729C42—44no—
1730C42—44no—
1731C42—44no—
1732C42—44no—
1733C42C22×D418yes—
1734C23—21no—
1735C23—21no—
1736C23—21no—
1737C23—21no—
1738C23—21no—
1739C23—22no—
1740C23—21no—
1741C23—22no—
1742C23—21no—
1743C23—22no—
1744C23—22no—
1745C23—22no—
1746C23—22no—
1747C23—22no—
1748C23—21no—
1749C23—22no—
1750C23—22no—
1751C23—21no—
1752C23—22no—
1753C23—22no—
1754C23—22no—
1755C23—21no—
1756C23—22no—
1757C23—21no—
1758C23—22no—
1759C23—22no—
1760C23—22no—
1761C23—21no—
1762C23—22no—
1763C23—21no—
1764C23—22no—
1765C23—21no—
1766C23—22no—
1767C23—22no—
1768C23—21no—
1769C23—22no—
1770C23—22no—
1771C23—21no—
1772C23—22no—
1773C23—22no—
1774C23—22no—
1775C23—21no—
1776C23—22no—
1777C23—48no—
1778C23—44no—
1779C23—44no—
1780C23—44no—
1781C23—48no—
1782C23—48no—
1783C23—44no—
1784C23—82no—
1785C23—82no—
1786C23—82no—
1787C23—84no—
1788C23—84no—
1789C23—84no—
1790C23—84no—
1791C23C23×D414yes—
1792C23C23×D412yes—
1793C23C22×#4114yes—
1794C23C22×#4112yes—
1795C23C2×H(5,𝔽2)12yes—
1796C23C2×2−1+412yes—
1797C23C2611yescharacteristic
1798Q8—216no—
1799Q8—216no—
1800Q8—28no—
1801Q8—28no—
1802Q8—416no—
1803Q8—48no—
1804Q8—44no—
1805Q8—44no—
1806Q8—88no—
1807D4—216no—
1808D4—216no—
1809D4—28no—
1810D4—28no—
1811D4—48no—
1812D4—48no—
1813D4—48no—
1814D4—416no—
1815D4—48no—
1816D4—48no—
1817D4—48no—
1818D4—44no—
1819D4—44no—
1820D4—84no—
1821D4—84no—
1822D4—84no—
1823D4—88no—
1824D4—88no—
1825D4—88no—
1826D4—84no—
1827D4—84no—
1828C2×C4—21no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—24no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—22no—
1835C2×C4—24no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—21no—
1841C2×C4—22no—
1842C2×C4—21no—
1843C2×C4—21no—
1844C2×C4—216no—
1845C2×C4—216no—
1846C2×C4—216no—
1847C2×C4—21no—
1848C2×C4—21no—
1849C2×C4—21no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—24no—
1853C2×C4—22no—
1854C2×C4—24no—
1855C2×C4—22no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—24no—
1859C2×C4—22no—
1860C2×C4—21no—
1861C2×C4—21no—
1862C2×C4—22no—
1863C2×C4—21no—
1864C2×C4—21no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—22no—
1869C2×C4—22no—
1870C2×C4—21no—
1871C2×C4—21no—
1872C2×C4—22no—
1873C2×C4—21no—
1874C2×C4—22no—
1875C2×C4—21no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—21no—
1879C2×C4—21no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—24no—
1884C2×C4—21no—
1885C2×C4—24no—
1886C2×C4—22no—
1887C2×C4—24no—
1888C2×C4—22no—
1889C2×C4—24no—
1890C2×C4—22no—
1891C2×C4—21no—
1892C2×C4—21no—
1893C2×C4—21no—
1894C2×C4—24no—
1895C2×C4—22no—
1896C2×C4—24no—
1897C2×C4—21no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—21no—
1901C2×C4—48no—
1902C2×C4—48no—
1903C2×C4—416no—
1904C2×C4—44no—
1905C2×C4—48no—
1906C2×C4—44no—
1907C2×C4—44no—
1908C2×C4—48no—
1909C2×C4—48no—
1910C2×C4—416no—
1911C2×C4—44no—
1912C2×C4—44no—
1913C2×C4—44no—
1914C2×C4—44no—
1915C2×C4—44no—
1916C2×C4—48no—
1917C2×C4—48no—
1918C2×C4—84no—
1919C2×C4—88no—
1920C2×C4—84no—
1921C2×C4—84no—
1922C2×C4—82no—
1923C2×C4—84no—
1924C2×C4—84no—
1925C2×C4—84no—
1926C2×C4—84no—
1927C2×C4#546116yes—
1928C2×C4C23×D414yes—
1929C2×C4C23×D418yes—
1930C2×C4C23×D414yes—
1931C2×C4C23×D414yes—
1932C2×C4C23×D412yes—
1933C2×C4C23×D412yes—
1934C2×C4C22×#4114yes—
1935C2×C4C22×#4112yes—
1936C2×C4C22×#4112yes—
1937C2×C4C2×H(5,𝔽2)12yes—
1938C2×C4C2×H(5,𝔽2)12yes—
1939C2×C4C2×2−1+412yes—
1940C2×C4C2×2−1+412yes—
1941C2×C4#58512yes—
1942C22—22no—
1943C22—22no—
1944C22—22no—
1945C22—22no—
1946C22—22no—
1947C22—22no—
1948C22—24no—
1949C22—22no—
1950C22—24no—
1951C22—22no—
1952C22—24no—
1953C22—24no—
1954C22—22no—
1955C22—24no—
1956C22—24no—
1957C22—42no—
1958C22—42no—
1959C22—41no—
1960C22—42no—
1961C22—42no—
1962C22—41no—
1963C22—42no—
1964C22—42no—
1965C22—41no—
1966C22—42no—
1967C22—42no—
1968C22—41no—
1969C22—42no—
1970C22—42no—
1971C22—41no—
1972C22—42no—
1973C22—42no—
1974C22—41no—
1975C22—42no—
1976C22—42no—
1977C22—41no—
1978C22—42no—
1979C22—42no—
1980C22—41no—
1981C22—42no—
1982C22—41no—
1983C22—42no—
1984C22—42no—
1985C22—42no—
1986C22—41no—
1987C22—42no—
1988C22—41no—
1989C22—42no—
1990C22—88no—
1991C22—816no—
1992C22C2×#54614yes—
1993C22C24×D411yescharacteristic
1994C22C23×#4111yescharacteristic
1995C22C22×H(5,𝔽2)11yescharacteristic
1996C22C22×2−1+411yescharacteristic
1997C22C2×#58511yescharacteristic
1998C22H(7,𝔽2)11yescharacteristic
1999C222−1+611yescharacteristic
2000C4—22no—
2001C4—24no—
2002C4—24no—
2003C4—22no—
2004C4—22no—
2005C4—24no—
2006C4—24no—
2007C4—28no—
2008C4—41no—
2009C4—42no—
2010C4—41no—
2011C4—41no—
2012C4—44no—
2013C4—44no—
2014C4—42no—
2015C4—44no—
2016C4—41no—
2017C4—42no—
2018C4—42no—
2019C4—41no—
2020C4—42no—
2021C4—42no—
2022C4—41no—
2023C4—41no—
2024C4—42no—
2025C4—42no—
2026C4C2×#54614yes—
2027C4C2×#54614yes—
2028C2—24no—
2029C2—44no—
2030C2—44no—
2031C2—42no—
2032C2—82no—
2033C2—82no—
2034C2—81no—
2035C2C22×#54611yescharacteristic
2036C2#6280511yescharacteristic
2037C2#6285711yescharacteristic
2038C2#6292711yescharacteristic
2039C2#6294411yescharacteristic
2040C2D4×2−1+411yescharacteristic
2041C2#6300311yescharacteristic
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×#3489C2semidirect
2. C2×#3461C2semidirect
3. #59091C2semidirect
4. #59088C2semidirect
5. #59044C2semidirect
6. #59040C2semidirect
7. #59037C2semidirect
8. #59036C2semidirect
9. #45303C2semidirect
10. #45249C2semidirect
11. #45243C2semidirect
12. #45079C2semidirect
13. #44022C2semidirect
14. #43974C2semidirect
15. #39435C2semidirect
16. #39433C2semidirect
17. #37787C2semidirect
18. #37781C2semidirect
19. #37671C2semidirect
20. #37665C2semidirect
21. #36144C2semidirect
22. #36130C2semidirect
23. #35661C2semidirect
24. #35660C2semidirect
25. #35542C2semidirect
26. #35532C2semidirect
27. #35273C2semidirect
28. #35255C2semidirect
29. #35251C2semidirect
30. #34743C2semidirect
31. C2×#2423C2semidirect
32. #34268C2semidirect
33. #34267C2semidirect
34. #34257C2semidirect
35. C22⋊C4×#41C2semidirect
46. C2×#544C22semidirect
47. C2×#542C22semidirect
48. C2×#542C22semidirect
49. C2×#541C22semidirect
50. C2×#541C22semidirect
51. C2×#539C22semidirect
58. C2×#536C22semidirect
59. C2×#533C22semidirect
60. C2×#533C22semidirect
61. C2×#532C22semidirect
62. C2×#529C22semidirect
63. C2×#529C22semidirect
64. C2×#529C22semidirect
71. C2×#519C22semidirect
74. C2×C4×#41C22semidirect
75. C22×C4×Q8C22semidirect
76. #2857C22semidirect
77. #2856C22semidirect
78. #2855C22semidirect
79. #2854C22semidirect
82. #2716C22semidirect
83. #2715C22semidirect
84. #2714C22semidirect
85. #2713C22semidirect
86. #2711C22semidirect
87. #2710C22semidirect
88. #2707C22semidirect
89. #2706C22semidirect
90. #2705C22semidirect
91. #2704C22semidirect
93. #2700C22semidirect
94. #2695C22semidirect
95. #2694C22semidirect
96. #2694C22semidirect
98. #2692C22semidirect
99. #2687C22semidirect
102. #2681C22semidirect
103. #2676C22semidirect
104. #2672C22semidirect
105. #2671C22semidirect
106. #2625C22semidirect
107. #2624C22semidirect
108. #2620C22semidirect
109. #2620C22semidirect
112. #2567C22semidirect
113. #2566C22semidirect
114. #2565C22semidirect
117. #2562C22semidirect
118. #2560C22semidirect
119. #2558C22semidirect
121. #2555C22semidirect
122. #2554C22semidirect
123. #2553C22semidirect
124. #2550C22semidirect
125. #2549C22semidirect
126. #2547C22semidirect
127. #2542C22semidirect
128. #2540C22semidirect
131. #2538C22semidirect
132. #2538C22semidirect
133. #2538C22semidirect
134. #2537C22semidirect
135. #2537C22semidirect
137. #2536C22semidirect
138. #2521C22semidirect
140. #2491C22semidirect
142. #2489C22semidirect
143. #2488C22semidirect
144. #2481C22semidirect
145. #2476C22semidirect
146. #2476C22semidirect
147. #2473C22semidirect
150. #2471C22semidirect
151. #2471C22semidirect
152. #2468C22semidirect
154. #2466C22semidirect
156. #2465C22semidirect
157. #2464C22semidirect
159. #2459C22semidirect
160. #2457C22semidirect
162. #2449C22semidirect
163. #2449C22semidirect
164. #2444C22semidirect
165. #2443C22semidirect
166. #2441C22semidirect
167. #2441C22semidirect
168. #2440C22semidirect
169. #2440C22semidirect
170. #2439C22semidirect
171. #2438C22semidirect
173. #2436C22semidirect
174. #2434C22semidirect
175. #2432C22semidirect
176. #2431C22semidirect
178. #2430C22semidirect
179. #2430C22semidirect
182. #2429C22semidirect
183. #2429C22semidirect
185. #2428C22semidirect
187. #2427C22semidirect
190. #2426C22semidirect
191. #2426C22semidirect
192. #2426C22semidirect
193. #2425C22semidirect
194. #2425C22semidirect
195. #2425C22semidirect
203. #2423C22semidirect
204. #2423C22semidirect
205. #2423C22semidirect
206. #2423C22semidirect
207. #2423C22semidirect
208. #2422C22semidirect
209. #2421C22semidirect
210. #2420C22semidirect
212. #2417C22semidirect
213. #2416C22semidirect
214. #2416C22semidirect
215. #2413C22semidirect
219. #2409C22semidirect
220. #2409C22semidirect
224. #2407C22semidirect
225. #2407C22semidirect
228. #2392C22semidirect
229. C2×#398C22semidirect
230. #2367C22semidirect
231. #2367C22semidirect
232. #2365C22semidirect
233. #2365C22semidirect
234. #2364C22semidirect
235. #2364C22semidirect
237. #2363C22semidirect
238. #2362C22semidirect
239. #2361C22semidirect
240. #2361C22semidirect
241. #2360C22semidirect
242. #2360C22semidirect
243. #2359C22semidirect
244. #2359C22semidirect
248. #2341C22semidirect
249. #2341C22semidirect
250. #2341C22semidirect
251. #2341C22semidirect
254. Q8×C22⋊C4C22semidirect
255. Q8×C22⋊C4C22semidirect
256. Q8×C22⋊C4C22semidirect
257. Q8×C22⋊C4C22semidirect
266. #2324C22semidirect
267. #2323C22semidirect
268. #2323C22semidirect
269. #2323C22semidirect
270. #2317C22semidirect
273. #2311C22semidirect
274. #2311C22semidirect
275. #2311C22semidirect
276. #2311C22semidirect
277. C4×C22⋊Q8C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×C22⋊Q8C22semidirect
281. C4×#121C22semidirect
282. C4×#121C22semidirect
287. #2297C22semidirect
288. #2297C22semidirect
289. #2296C22semidirect
290. C2×#391C22semidirect
291. C2×#389C22semidirect
293. C2×#387C22semidirect
294. C2×#384C22semidirect
298. #2274C22semidirect
344. #536D4semidirect
1708. C22⋊C42−1+4semidirect

Maximal subgroups

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

subgroupindex
C2×#34892
C2×#34612
#590912
#590882
#590442
#590402
#590372
#590362
#453032
#452492
#452432
#450792
#440222
#439742
#394352
#394332
#377872
#377812
#376712
#376652
#361442
#361302
#356612
#356602
#355422
#355322
#352732
#352552
#352512
#347432
C2×#24232
#342682
#342672
#342572
C22⋊C4×#412