Finite Group Databasebeta

← #7987511

Subgroups — #7987511

Order 512.

6875 conjugacy classes of subgroups.

The subgroup lattice has 1867 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3555C211yesmaximal, characteristic, complemented
2C2×#3481C211yesmaximal, characteristic, complemented
3#59655C211yesmaximal, characteristic, complemented
4#59118C212yesmaximal, complemented
5#59085C212yesmaximal, complemented
6#59084C211yesmaximal, characteristic, complemented
7#59052C211yesmaximal, characteristic, complemented
8#51583C214yesmaximal, complemented
9#51528C214yesmaximal, complemented
10#45450C214yesmaximal, complemented
11#45404C212yesmaximal, complemented
12#45313C212yesmaximal, complemented
13#45196C212yesmaximal, complemented
14#45187C212yesmaximal, complemented
15#42680C212yesmaximal, complemented
16#42674C212yesmaximal, complemented
17#42443C212yesmaximal, complemented
18#42437C212yesmaximal, complemented
19#39746C211yesmaximal, characteristic, complemented
20#39726C211yesmaximal, characteristic, complemented
21#38957C211yesmaximal, characteristic, complemented
22#38910C211yesmaximal, characteristic, complemented
23#37799C212yesmaximal, complemented
24#37774C212yesmaximal, complemented
25#37671C214yesmaximal, complemented
26#36445C211yesmaximal, characteristic, complemented
27#36405C211yesmaximal, characteristic, complemented
28#36162C212yesmaximal, complemented
29#36161C212yesmaximal, complemented
30#36150C211yesmaximal, characteristic, complemented
31#35225C212yesmaximal, complemented
32#35174C212yesmaximal, complemented
33#34724C211yesmaximal, characteristic, complemented
34#34720C211yesmaximal, characteristic, complemented
35#34484C211yesmaximal, characteristic, complemented
36#3555—216no—
37C2×#563C2214yescomplemented
38#3481—216no—
39C2×#559C2211yescharacteristic
40C2×Q82C2211yescharacteristic, complemented
41C2×#557C2212yescomplemented
42C2×#557C2211yescharacteristic, complemented
43C2×#556C2211yescharacteristic
44C2×#556C2212yes—
45C2×#556C2212yescomplemented
46C2×#554C2211yescharacteristic
47C2×#554C2211yescharacteristic
48C2×#553C2212yes—
49C2×#553C2212yes—
50C2×#552C2212yescomplemented
51C2×#551C2214yes—
52C2×#546C2212yes—
53C2×#546C2212yes—
54C2×D42C2211yescharacteristic
55C2×#544C2212yescomplemented
56C2×#542C2212yes—
57C2×#541C2214yescomplemented
58C2×#541C2212yescomplemented
59C2×#541C2212yescomplemented
60C2×#533C2211yescharacteristic, complemented
61C2×#533C2211yescharacteristic, complemented
62C2×#532C2211yescharacteristic
63C2×#529C2211yescharacteristic
64C2×#529C2212yes—
65C2×#529C2212yes—
66C2×#525C2214yes—
67C2×C4×#41C2211yescharacteristic
68C2×C4×#41C2211yescharacteristic
69C22×C4×D4C2212yes—
70C22×C4×D4C2212yes—
71#2858C2211yescharacteristic
72#2857C2211yescharacteristic, complemented
73#2857C2212yescomplemented
74#2856C2211yescharacteristic
75#2855C2212yescomplemented
76#2849C2214yescomplemented
77#2848C2214yescomplemented
78#2848C2214yescomplemented
79#2816C2214yescomplemented
80#2813C2214yescomplemented
81#2732C2214yescomplemented
82#2731C2214yescomplemented
83#2729C2214yescomplemented
84#2727C2214yescomplemented
85#2725C2214yescomplemented
86#2725C2214yescomplemented
87#2721C2214yescomplemented
88#2721C2214yescomplemented
89#2718C2214yescomplemented
90#2718C2214yescomplemented
91#2718C2214yescomplemented
92#2716C2214yescomplemented
93#2714C2214yescomplemented
94#2711C2214yescomplemented
95#2710C2214yescomplemented
96#2707C2214yescomplemented
97#2707C2214yescomplemented
98#2705C2214yescomplemented
99#2705C2214yescomplemented
100#2694C2214yescomplemented
101#2694C2214yescomplemented
102#2694C2214yescomplemented
103#2694C2214yescomplemented
104#2685C2214yes—
105#2685C2214yes—
106#2685C2214yes—
107#2685C2214yescomplemented
108#2685C2214yescomplemented
109#2685C2214yescomplemented
110#2681C2214yescomplemented
111#2678C2214yes—
112#2674C2214yescomplemented
113#2670C2214yescomplemented
114#2658C2212yescomplemented
115#2638C2214yescomplemented
116#2630C2214yescomplemented
117#2626C2214yescomplemented
118#2626C2214yescomplemented
119#2624C2212yes—
120#2624C2214yescomplemented
121#2620C2212yes—
122#2620C2214yescomplemented
123#2620C2212yescomplemented
124#2592C2212yescomplemented
125#2582C2211yescharacteristic, complemented
126#2558C2214yescomplemented
127#2552C2212yescomplemented
128#2550C2212yescomplemented
129#2548C2211yescharacteristic
130#2548C2211yescharacteristic
131#2547C2212yescomplemented
132#2546C2211yescharacteristic, complemented
133#2545C2212yescomplemented
134#2545C2212yescomplemented
135#2542C2211yescharacteristic
136#2542C2212yescomplemented
137#2542C2212yescomplemented
138#2540C2212yes—
139#2540C2212yescomplemented
140#2538C2211yescharacteristic
141#2538C2212yescomplemented
142#2538C2212yescomplemented
143#2512C2214yescomplemented
144#2500C2212yes—
145#2492C2212yescomplemented
146#2491C2212yescomplemented
147#2491C2212yescomplemented
148#2490C2212yes—
149#2490C2214yescomplemented
150#2490C2212yescomplemented
151#2485C2212yescomplemented
152#2485C2214yescomplemented
153#2482C2214yescomplemented
154#2480C2214yescomplemented
155#2480C2214yescomplemented
156#2480C2214yescomplemented
157#2479C2214yescomplemented
158#2478C2214yescomplemented
159#2478C2212yescomplemented
160#2477C2212yescomplemented
161#2475C2212yescomplemented
162#2475C2214yescomplemented
163#2472C2214yescomplemented
164#2470C2212yescomplemented
165#2469C2214yescomplemented
166#2468C2214yescomplemented
167#2468C2214yescomplemented
168#2467C2214yescomplemented
169#2467C2214yescomplemented
170#2466C2212yescomplemented
171#2466C2214yescomplemented
172#2466C2214yescomplemented
173#2463C2212yescomplemented
174#2461C2214yescomplemented
175#2460C2214yescomplemented
176#2460C2212yescomplemented
177#2460C2214yescomplemented
178#2458C2214yescomplemented
179#2455C2212yescomplemented
180#2454C2212yes—
181#2454C2212yes—
182#2454C2214yescomplemented
183#2454C2214yescomplemented
184#2454C2212yescomplemented
185#2454C2212yescomplemented
186#2454C2212yescomplemented
187#2454C2214yescomplemented
188#2453C2212yescomplemented
189#2453C2211yescharacteristic, complemented
190#2452C2212yes—
191#2452C2211yescharacteristic
192#2452C2214yescomplemented
193#2452C2212yescomplemented
194#2452C2214yescomplemented
195#2452C2212yescomplemented
196#2452C2212yescomplemented
197#2448C2212yescomplemented
198#2448C2212yescomplemented
199#2448C2212yescomplemented
200#2447C2212yes—
201#2447C2211yescharacteristic
202#2446C2211yescharacteristic, complemented
203#2441C2211yescharacteristic, complemented
204#2441C2214yescomplemented
205#2441C2214yescomplemented
206#2441C2212yescomplemented
207#2441C2212yescomplemented
208#2440C2212yescomplemented
209#2439C2211yescharacteristic, complemented
210#2435C2212yes—
211#2435C2212yes—
212#2435C2212yes—
213#2435C2212yes—
214#2432C2212yes—
215#2432C2211yescharacteristic
216#2432C2211yescharacteristic
217#2432C2214yescomplemented
218#2429C2214yescomplemented
219#2429C2212yescomplemented
220#2429C2211yescharacteristic, complemented
221#2429C2212yescomplemented
222#2427C2211yescharacteristic
223#2427C2212yescomplemented
224#2427C2212yescomplemented
225#2426C2212yes—
226#2426C2212yes—
227#2426C2214yescomplemented
228#2426C2212yescomplemented
229#2426C2212yescomplemented
230#2426C2212yescomplemented
231#2426C2212yescomplemented
232#2426C2212yescomplemented
233#2423C2214yescomplemented
234#2422C2211yescharacteristic
235#2421C2211yescharacteristic, complemented
236#2417C2212yescomplemented
237#2415C2212yescomplemented
238#2415C2214yescomplemented
239#2415C2211yescharacteristic, complemented
240#2415C2211yescharacteristic, complemented
241#2414C2212yes—
242#2414C2212yescomplemented
243#2411C2214yescomplemented
244#2408C2212yes—
245#2408C2212yes—
246#2407C2211yescharacteristic
247#2407C2211yescharacteristic
248#2407C2212yescomplemented
249#2398C2212yescomplemented
250#2395C2212yescomplemented
251#2392C2212yescomplemented
252#2392C2212yescomplemented
253#2378C2214yescomplemented
254#2370C2212yescomplemented
255#2369C2211yescharacteristic, complemented
256#2367C2212yes—
257#2367C2212yescomplemented
258#2367C2212yescomplemented
259#2367C2212yescomplemented
260#2365C2212yescomplemented
261#2363C2212yes—
262#2363C2212yescomplemented
263#2362C2212yescomplemented
264#2362C2214yescomplemented
265#2362C2212yescomplemented
266#2360C2212yescomplemented
267#2360C2212yescomplemented
268#2354C2211yescharacteristic
269#2354C2212yes—
270Q8×C4⋊C4C2211yescharacteristic, complemented
271Q8×C4⋊C4C2212yescomplemented
272#2344C2212yescomplemented
273#2341C2212yes—
274#2341C2212yescomplemented
275#2330C2212yescomplemented
276#2326C2212yescomplemented
277#2324C2212yescomplemented
278#2323C2214yescomplemented
279#2323C2212yescomplemented
280#2319C2212yes—
281#2316C2212yescomplemented
282#2309C2212yes—
283#2309C2212yes—
284C4×C4⋊Q8C2211yescharacteristic, complemented
285C4×C4⋊Q8C2211yescharacteristic, complemented
286C4×#124C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic, complemented
288C4×C22⋊Q8C2211yescharacteristic, complemented
289C4×C22⋊Q8C2212yescomplemented
290C4×C22⋊Q8C2212yescomplemented
291C4×C22⋊Q8C2211yescharacteristic, complemented
292C4×#123C2212yescomplemented
293C4×#121C2211yescharacteristic
294#2296C2212yescomplemented
295#2296C2212yescomplemented
296#2295C2211yescharacteristic, complemented
297#2293C2211yescharacteristic
298#2290C2212yescomplemented
299#2280C2214yescomplemented
300C42×D4C2211yescharacteristic, complemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C23×D4C2312yes—
305C23×D4C2312yes—
306C24×C4C2314yes—
307#563—232no—
308#559—28no—
309Q82—28no—
310#557—216no—
311#557—28no—
312#556—216no—
313#556—216no—
314#556—28no—
315#554—28no—
316#554D4116yescomplemented
317#553—216no—
318#553—216no—
319#552—216no—
320#551—232no—
321#546—216no—
322#546—216no—
323D42—28no—
324#544—216no—
325#542—216no—
326#541—216no—
327#541—216no—
328#541—232no—
329#533—28no—
330#533—28no—
331#532—28no—
332C2×C4⋊Q8C2311yescharacteristic
333C2×C4⋊Q8C2312yes—
334C2×C4⋊Q8C2314yes—
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2314yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2311yescharacteristic
343C2×#127C2311yescharacteristic
344#529—216no—
345#529—216no—
346#529—28no—
347C2×#126C2312yes—
348C2×#126C2314yes—
349C2×#126C2314yes—
350C2×#126C2314yes—
351C2×#126C2314yes—
352C2×#126C2314yes—
353C2×#126C2314yes—
354C2×#126C2314yes—
355C2×#126C2314yes—
356C2×#125C2312yes—
357C2×#125C2311yescharacteristic
358C2×#125C2312yes—
359C2×#125C2312yes—
360C2×#125C2314yes—
361C2×#125C2314yes—
362C2×#125C2314yes—
363C2×#125C2314yes—
364C2×#125C2314yes—
365C2×#125C2312yes—
366C2×#125C2312yes—
367C2×#124C2312yes—
368C2×#124C2311yescharacteristic
369C2×#124C2314yes—
370C2×#124C2312yes—
371C2×#124C2311yescharacteristic
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2312yes—
376C2×#124C2312yes—
377C2×#124C2312yes—
378C2×#124C2314yes—
379#525—232no—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2312yes—
384C2×#123C2314yes—
385C2×#123C2314yes—
386C2×#123C2312yes—
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2311yescharacteristic
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2311yescharacteristic
394C2×C22⋊Q8C2311yescharacteristic
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2314yes—
411C2×#121C2314yes—
412C2×#121C2311yescharacteristic
413C2×#121C2312yes—
414C2×#121C2311yescharacteristic
415C2×#121C2314yes—
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#120C2314yes—
423C2×#120C2314yes—
424C2×#120C2314yes—
425C4×#41—28no—
426C4×#41—28no—
427C2×C4×Q8C2311yescharacteristic
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2311yescharacteristic
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2311yescharacteristic
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2314yes—
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2311yescharacteristic
444C2×C4×D4—216no—
445C2×C4×D4—216no—
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2314yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2314yes—
457C2×C4×D4C2314yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2314yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2312yes—
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×#117C2312yes—
470C2×#117C2312yes—
471C2×#117C2312yes—
472C2×#117C2311yescharacteristic
473C2×#117C2314yes—
474C2×#117C2312yes—
475C2×#117C2314yes—
476C2×#117C2311yescharacteristic
477C2×#117C2312yes—
478C2×#117C2312yes—
479C2×#117C2312yes—
480C2×#117C2312yes—
481C2×#117C2314yes—
482C22×C4⋊C4C2312yes—
483C22×C4⋊C4C2312yes—
484C22×C22⋊C4C2314yes—
485C22×C22⋊C4C2314yes—
486C22×C42C2312yes—
487C22×C42C2311yescharacteristic
488C22×C42C2312yes—
489C22×C42C2311yescharacteristic
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2314yes—
494#399C2314yes—
495#399C2314yes—
496#399C2314yes—
497#399C2314yes—
498#399C2314yes—
499#399C2314yes—
500#399C2314yes—
501#399C2312yes—
502#399C2314yes—
503#399C2314yes—
504#399C2314yes—
505#399C2314yes—
506#398C2314yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2312yes—
512#398C2312yes—
513#398C2312yes—
514#398C2314yes—
515#397C2314yes—
516#397C2314yes—
517#397C2312yes—
518#397C2314yes—
519#397C2312yes—
520#397C2314yes—
521#397C2314yes—
522#397C2312yes—
523#397C2312yes—
524#397C2312yes—
525#397C2312yes—
526#397C2312yes—
527#397C2314yes—
528#397C2314yes—
529#396C2314yes—
530#396C2314yes—
531#396C2314yes—
532#396C2312yes—
533#396C2314yes—
534#396C2314yes—
535#396C2314yes—
536#396C2312yes—
537#396C2314yes—
538#396C2314yes—
539#396C2314yes—
540#396C2314yes—
541#396C2314yes—
542#396C2314yes—
543#396C2314yes—
544#396C2314yes—
545#396C2312yes—
546#396C2312yes—
547#396C2314yes—
548#396C2314yes—
549#396C2314yes—
550#395C2314yes—
551#394C2312yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2312yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2312yes—
565#394C2314yes—
566#394C2314yes—
567#394C2312yes—
568#394C2314yes—
569#394C2312yes—
570#394C2312yes—
571#394C2312yes—
572#394C2312yes—
573#394C2312yes—
574#394C2312yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#393C2312yes—
582#393C2314yes—
583#393C2312yes—
584#393C2314yes—
585#393C2314yes—
586#393C2314yes—
587#392C2314yes—
588#392C2312yes—
589#392C2312yes—
590#392C2314yes—
591#392C2314yes—
592#391C2311yescharacteristic
593#391C2312yes—
594#391C2311yescharacteristic
595#391C2311yescharacteristic
596#391C2314yes—
597#391C2312yes—
598#391C2312yes—
599#391C2312yes—
600#391C2311yescharacteristic
601#391C2311yescharacteristic
602#391C2312yes—
603#391C2311yescharacteristic
604#391C2311yescharacteristic
605#391C2314yes—
606#391C2311yescharacteristic
607#391C2312yes—
608#390C2311yescharacteristic
609#390C2311yescharacteristic
610#390C2312yes—
611#390C2312yes—
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2314yes—
616#390C2314yes—
617#390C2314yes—
618#390C2312yes—
619#390C2314yes—
620#390C2311yescharacteristic
621#390C2312yes—
622#390C2312yes—
623#390C2314yes—
624#390C2312yes—
625#390C2312yes—
626#390C2314yes—
627#390C2314yes—
628#390C2312yes—
629#390C2312yes—
630#390C2314yes—
631#390C2314yes—
632#390C2312yes—
633#390C2312yes—
634#390C2311yescharacteristic
635#390C2314yes—
636#390C2314yes—
637#390C2312yes—
638#390C2312yes—
639#390C2314yes—
640#390C2314yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2311yescharacteristic
646#389C2314yes—
647#389C2312yes—
648#389C2312yes—
649#389C2314yes—
650#389C2312yes—
651#389C2314yes—
652#389C2314yes—
653#389C2312yes—
654#389C2312yes—
655#389C2311yescharacteristic
656#389C2312yes—
657#389C2312yes—
658#389C2311yescharacteristic
659#389C2314yes—
660#389C2314yes—
661#389C2312yes—
662#389C2312yes—
663#389C2314yes—
664#389C2311yescharacteristic
665#389C2314yes—
666#389C2314yes—
667#389C2314yes—
668#389C2314yes—
669#389C2311yescharacteristic
670#389C2314yes—
671#389C2311yescharacteristic
672#389C2312yes—
673#389C2312yes—
674#389C2312yes—
675#389C2311yescharacteristic
676#389C2311yescharacteristic
677#389C2312yes—
678#389C2312yes—
679#389C2312yes—
680#388C2314yes—
681#388C2314yes—
682#388C2312yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
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#388C2312yes—
707#388C2312yes—
708#388C2314yes—
709#388C2312yes—
710#388C2314yes—
711#388C2312yes—
712#388C2312yes—
713#388C2312yes—
714#388C2312yes—
715#388C2312yes—
716#387C2312yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2312yes—
726#387C2312yes—
727#387C2314yes—
728#387C2314yes—
729#387C2312yes—
730#387C2312yes—
731#387C2312yes—
732#387C2312yes—
733#387C2312yes—
734#387C2312yes—
735#387C2312yes—
736#387C2312yes—
737#386C2314yes—
738#386C2312yes—
739#386C2314yes—
740#386C2314yes—
741#386C2312yes—
742#386C2312yes—
743#386C2312yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2312yes—
748#385C2312yes—
749#385C2314yes—
750#385C2312yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2312yes—
760#385C2314yes—
761#385C2312yes—
762#385C2312yes—
763#385C2312yes—
764#385C2312yes—
765#385C2312yes—
766#385C2312yes—
767#385C2312yes—
768#385C2312yes—
769#384C2311yescharacteristic
770#384C2311yescharacteristic
771#384C2312yes—
772#384C2312yes—
773#384C2314yes—
774#384C2314yes—
775#382C2311yescharacteristic
776#381C2314yes—
777#381C2314yes—
778#381C2312yes—
779#380C2314yes—
780#380C2314yes—
781#380C2312yes—
782#380C2311yescharacteristic
783#380C2314yes—
784#380C2314yes—
785#380C2314yes—
786#380C2314yes—
787#380C2312yes—
788#380C2314yes—
789#380C2312yes—
790#380C2311yescharacteristic
791#380C2311yescharacteristic
792#380C2312yes—
793#380C2311yescharacteristic
794#380C2314yes—
795#380C2312yes—
796#380C2314yes—
797#379C2314yes—
798#379C2314yes—
799#379C2314yes—
800#379C2314yes—
801#379C2314yes—
802#379C2314yes—
803#379C2314yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2314yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2314yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2314yes—
819C4×C4⋊C4C2314yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2311yescharacteristic
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2311yescharacteristic
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2311yescharacteristic
843#376C2312yes—
844C43C2311yescharacteristic
845C25C2414yes—
846C2×#41—24no—
847C2×#41—28no—
848C2×#41—24no—
849C2×#41—24no—
850C2×#41—44no—
851C2×#41—42no—
852C2×#41—42no—
853C2×#41—42no—
854C2×#41—82no—
855C22×Q8C2412yes—
856C22×Q8C2411yescharacteristic
857C22×Q8C2411yescharacteristic
858C22×Q8C2411yescharacteristic
859C22×Q8C2411yescharacteristic
860C22×Q8C2412yes—
861C22×Q8C2414yes—
862C22×Q8C2412yes—
863C22×D4—28no—
864C22×D4—28no—
865C22×D4—28no—
866C22×D4—44no—
867C22×D4—44no—
868C22×D4—44no—
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2412yes—
872C22×D4C2414yes—
873C22×D4C2411yescharacteristic
874C22×D4C2411yescharacteristic
875C22×D4C2412yes—
876C22×D4C2414yes—
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2414yes—
881C22×D4C2411yescharacteristic
882C22×D4C2414yes—
883C23×C4—216no—
884C23×C4—48no—
885C23×C4—84no—
886C23×C4C2412yes—
887C23×C4C2411yescharacteristic
888C23×C4C2411yescharacteristic
889C23×C4C2411yescharacteristic
890C23×C4C2411yescharacteristic
891C23×C4C2412yes—
892C23×C4C2414yes—
893C23×C4C2411yescharacteristic
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2414yes—
899C23×C4C2414yes—
900C23×C4C2411yescharacteristic
901C23×C4C2414yes—
902C4⋊Q8—24no—
903C4⋊Q8—216no—
904C4⋊Q8—24no—
905C4⋊Q8—28no—
906C4⋊Q8—28no—
907C4⋊Q8—216no—
908C4⋊Q8—24no—
909C4⋊Q8—28no—
910C4⋊Q8—44no—
911C4⋊Q8—42no—
912C4⋊Q8C2×D418yes—
913#127—24no—
914#126—216no—
915#126—216no—
916#126—216no—
917#126—216no—
918#126—28no—
919#126—216no—
920#126—216no—
921#126—216no—
922#126—216no—
923#125—28no—
924#125—24no—
925#125—28no—
926#125—28no—
927#125—216no—
928#125—216no—
929#125—216no—
930#125—216no—
931#125—216no—
932#125—28no—
933#125C2×D4116yes—
934#124—28no—
935#124—28no—
936#124—24no—
937#124—28no—
938#124—24no—
939#124—216no—
940#124—28no—
941#124—44no—
942#124—44no—
943#124—44no—
944#124—44no—
945#124—84no—
946#123—216no—
947#123—216no—
948#123—216no—
949#123—216no—
950#123—216no—
951#123—28no—
952#123—44no—
953C22⋊Q8—216no—
954C22⋊Q8—24no—
955C22⋊Q8—28no—
956C22⋊Q8—216no—
957C22⋊Q8—28no—
958C22⋊Q8—216no—
959C22⋊Q8—24no—
960C22⋊Q8—28no—
961C22⋊Q8—28no—
962C22⋊Q8—24no—
963C22⋊Q8—28no—
964C22⋊Q8—44no—
965C22⋊Q8—48no—
966C22⋊Q8—42no—
967C22⋊Q8—44no—
968C22⋊Q8—44no—
969C22⋊Q8—44no—
970C22⋊Q8—42no—
971C22⋊Q8—42no—
972C22⋊Q8—44no—
973C22⋊Q8—84no—
974C22⋊Q8—84no—
975C22⋊Q8C2×D4132yes—
976C22⋊Q8C2×D4116yes—
977#121—24no—
978#121—24no—
979#121—216no—
980#121—28no—
981#121—216no—
982#121—28no—
983#121—28no—
984#121—28no—
985#121—44no—
986#121—44no—
987#121—82no—
988#120—216no—
989#120—216no—
990#120—84no—
991C4×Q8—24no—
992C4×Q8—28no—
993C4×Q8—28no—
994C4×Q8—24no—
995C4×Q8—28no—
996C4×Q8—28no—
997C4×Q8—216no—
998C4×Q8—28no—
999C4×Q8—28no—
1000C4×Q8—24no—
1001C4×Q8—24no—
1002C4×Q8—28no—
1003C4×Q8—24no—
1004C4×Q8—28no—
1005C4×Q8—44no—
1006C4×Q8—82no—
1007C4×Q8C2×D418yes—
1008C4×D4—24no—
1009C4×D4—216no—
1010C4×D4—28no—
1011C4×D4—28no—
1012C4×D4—24no—
1013C4×D4—216no—
1014C4×D4—28no—
1015C4×D4—28no—
1016C4×D4—28no—
1017C4×D4—216no—
1018C4×D4—28no—
1019C4×D4—28no—
1020C4×D4—216no—
1021C4×D4—28no—
1022C4×D4—28no—
1023C4×D4—24no—
1024C4×D4—28no—
1025C4×D4—42no—
1026C4×D4—42no—
1027C4×D4—44no—
1028C4×D4—42no—
1029C4×D4C2×D4116yes—
1030C4×D4C2×D418yes—
1031#117—28no—
1032#117—216no—
1033#117—28no—
1034#117—28no—
1035#117—24no—
1036#117—24no—
1037#117—216no—
1038#117—28no—
1039#117—28no—
1040#117—28no—
1041#117—44no—
1042#117—44no—
1043#117—84no—
1044C2×C4⋊C4—28no—
1045C2×C4⋊C4C2×D4116yes—
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2414yes—
1118C2×C22⋊C4—216no—
1119C2×C22⋊C4—216no—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2411yescharacteristic
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2411yescharacteristic
1151C2×C22⋊C4C2411yescharacteristic
1152C2×C22⋊C4C2411yescharacteristic
1153C2×C22⋊C4C2411yescharacteristic
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2412yes—
1189C2×C42—28no—
1190C2×C42—28no—
1191C2×C42—24no—
1192C2×C42—24no—
1193C2×C42C2411yescharacteristic
1194C2×C42C2412yes—
1195C2×C42C2412yes—
1196C2×C42C2412yes—
1197C2×C42C2412yes—
1198C2×C42C2411yescharacteristic
1199C2×C42C2414yes—
1200C2×C42C2411yescharacteristic
1201C2×C42C2412yes—
1202C2×C42C2412yes—
1203C2×C42C2414yes—
1204C2×C42C2414yes—
1205C2×C42C2412yes—
1206C2×C42C2412yes—
1207C2×C42C2411yescharacteristic
1208C2×C42C2411yescharacteristic
1209C2×C42C2411yescharacteristic
1210C2×C42C2412yes—
1211C2×C42C2411yescharacteristic
1212C2×C42C2414yes—
1213C2×C42C2411yescharacteristic
1214C2×C42C2411yescharacteristic
1215C2×C42C2411yescharacteristic
1216C2×C42C2414yes—
1217C2×C42C2414yes—
1218C2×C42C2414yes—
1219C2×C42C2411yescharacteristic
1220C2×C42C2411yescharacteristic
1221C2×C42C2414yes—
1222C2×C42C2412yes—
1223C2×C42C2411yescharacteristic
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2411yescharacteristic
1229#95C2412yes—
1230#95C2412yes—
1231#95C2411yescharacteristic
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2411yescharacteristic
1236#95C2411yescharacteristic
1237#95C2411yescharacteristic
1238#95C2411yescharacteristic
1239#95C2414yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2414yes—
1243#95C2412yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2414yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2414yes—
1276C24—28no—
1277C24—28no—
1278C24—44no—
1279C24—44no—
1280C24—44no—
1281C24—44no—
1282C24—44no—
1283C24C2514yes—
1284C24C2511yescharacteristic
1285C24C2511yescharacteristic
1286C24C2512yes—
1287C24C2512yes—
1288#41—416no—
1289#41—416no—
1290#41—816no—
1291C2×Q8—22no—
1292C2×Q8—24no—
1293C2×Q8—22no—
1294C2×Q8—22no—
1295C2×Q8—24no—
1296C2×Q8—28no—
1297C2×Q8—22no—
1298C2×Q8—22no—
1299C2×Q8—22no—
1300C2×Q8—24no—
1301C2×Q8—22no—
1302C2×Q8—22no—
1303C2×Q8—22no—
1304C2×Q8—24no—
1305C2×Q8—22no—
1306C2×Q8—22no—
1307C2×Q8—42no—
1308C2×Q8—42no—
1309C2×Q8—42no—
1310C2×Q8—44no—
1311C2×Q8—42no—
1312C2×Q8—44no—
1313C2×Q8C22×D414yes—
1314C2×Q8C22×D418yes—
1315C2×D4—24no—
1316C2×D4—28no—
1317C2×D4—28no—
1318C2×D4—24no—
1319C2×D4—24no—
1320C2×D4—24no—
1321C2×D4—22no—
1322C2×D4—24no—
1323C2×D4—28no—
1324C2×D4—24no—
1325C2×D4—24no—
1326C2×D4—24no—
1327C2×D4—28no—
1328C2×D4—24no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—24no—
1333C2×D4—24no—
1334C2×D4—24no—
1335C2×D4—432no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—42no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—42no—
1346C2×D4—42no—
1347C2×D4—42no—
1348C2×D4—42no—
1349C2×D4—42no—
1350C2×D4—44no—
1351C2×D4—42no—
1352C2×D4—44no—
1353C2×D4—44no—
1354C2×D4—44no—
1355C2×D4—44no—
1356C2×D4—432no—
1357C2×D4C22×D414yes—
1358C2×D42−1+414yes—
1359C22×C4—24no—
1360C22×C4—24no—
1361C22×C4—24no—
1362C22×C4—24no—
1363C22×C4—24no—
1364C22×C4—24no—
1365C22×C4—24no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—24no—
1371C22×C4—22no—
1372C22×C4—28no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—24no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—24no—
1383C22×C4—22no—
1384C22×C4—24no—
1385C22×C4—28no—
1386C22×C4—24no—
1387C22×C4—22no—
1388C22×C4—28no—
1389C22×C4—28no—
1390C22×C4—44no—
1391C22×C4—44no—
1392C22×C4—42no—
1393C22×C4—42no—
1394C22×C4—44no—
1395C22×C4—42no—
1396C22×C4—42no—
1397C22×C4—42no—
1398C22×C4—41no—
1399C22×C4—41no—
1400C22×C4—41no—
1401C22×C4—44no—
1402C22×C4—44no—
1403C22×C4—44no—
1404C22×C4—44no—
1405C22×C4—832no—
1406C22×C4C22×D418yes—
1407C22×C4C22×D4116yes—
1408C22×C4C2511yescharacteristic
1409C22×C4C2512yes—
1410C22×C4C2511yescharacteristic
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C22×C4C2512yes—
1414C22×C4C2512yes—
1415C22×C4C2514yes—
1416C22×C4C2512yes—
1417C22×C4C2511yescharacteristic
1418C22×C4C2511yescharacteristic
1419C22×C4C2511yescharacteristic
1420C22×C4C2512yes—
1421C22×C4C2512yes—
1422C22×C4C2512yes—
1423C22×C4C2512yes—
1424C22×C4C2512yes—
1425C22×C4C2512yes—
1426C22×C4C2511yescharacteristic
1427C22×C4C2512yes—
1428C22×C4C2514yes—
1429C22×C4C2511yescharacteristic
1430C22×C4C2512yes—
1431C22×C4C2512yes—
1432C22×C4C2511yescharacteristic
1433C22×C4C2514yes—
1434C22×C4C2512yes—
1435C22×C4C2511yescharacteristic
1436C22×C4C2511yescharacteristic
1437C22×C4C2511yescharacteristic
1438C4⋊C4—22no—
1439C4⋊C4—28no—
1440C4⋊C4—24no—
1441C4⋊C4—24no—
1442C4⋊C4—22no—
1443C4⋊C4—22no—
1444C4⋊C4—24no—
1445C4⋊C4—24no—
1446C4⋊C4—24no—
1447C4⋊C4—28no—
1448C4⋊C4—24no—
1449C4⋊C4—24no—
1450C4⋊C4—28no—
1451C4⋊C4—24no—
1452C4⋊C4—24no—
1453C4⋊C4—24no—
1454C4⋊C4—22no—
1455C4⋊C4—24no—
1456C4⋊C4—28no—
1457C4⋊C4—28no—
1458C4⋊C4—28no—
1459C4⋊C4—28no—
1460C4⋊C4—24no—
1461C4⋊C4—24no—
1462C4⋊C4—24no—
1463C4⋊C4—28no—
1464C4⋊C4—24no—
1465C4⋊C4—28no—
1466C4⋊C4—28no—
1467C4⋊C4—22no—
1468C4⋊C4—22no—
1469C4⋊C4—24no—
1470C4⋊C4—22no—
1471C4⋊C4—24no—
1472C4⋊C4—22no—
1473C4⋊C4—22no—
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—42no—
1477C4⋊C4—42no—
1478C4⋊C4—42no—
1479C4⋊C4—44no—
1480C4⋊C4—41no—
1481C4⋊C4—41no—
1482C4⋊C4—42no—
1483C4⋊C4—44no—
1484C4⋊C4—42no—
1485C4⋊C4—44no—
1486C4⋊C4—42no—
1487C4⋊C4—44no—
1488C4⋊C4—42no—
1489C4⋊C4—42no—
1490C4⋊C4—42no—
1491C4⋊C4—44no—
1492C4⋊C4—44no—
1493C4⋊C4—44no—
1494C4⋊C4—44no—
1495C4⋊C4—42no—
1496C4⋊C4—44no—
1497C4⋊C4—42no—
1498C4⋊C4—42no—
1499C4⋊C4—44no—
1500C4⋊C4—42no—
1501C4⋊C4—42no—
1502C4⋊C4—44no—
1503C4⋊C4C22×D418yes—
1504C4⋊C4C22×D414yes—
1505C4⋊C4C22×D418yes—
1506C4⋊C4C22×D4116yes—
1507C4⋊C4C22×D418yes—
1508C4⋊C4C22×D414yes—
1509C4⋊C4C22×D4116yes—
1510C22⋊C4—24no—
1511C22⋊C4—24no—
1512C22⋊C4—24no—
1513C22⋊C4—24no—
1514C22⋊C4—28no—
1515C22⋊C4—28no—
1516C22⋊C4—24no—
1517C22⋊C4—24no—
1518C22⋊C4—24no—
1519C22⋊C4—24no—
1520C22⋊C4—28no—
1521C22⋊C4—28no—
1522C22⋊C4—28no—
1523C22⋊C4—28no—
1524C22⋊C4—28no—
1525C22⋊C4—24no—
1526C22⋊C4—24no—
1527C22⋊C4—24no—
1528C22⋊C4—28no—
1529C22⋊C4—28no—
1530C22⋊C4—24no—
1531C22⋊C4—28no—
1532C22⋊C4—24no—
1533C22⋊C4—24no—
1534C22⋊C4—22no—
1535C22⋊C4—42no—
1536C22⋊C4—42no—
1537C22⋊C4—44no—
1538C22⋊C4—42no—
1539C22⋊C4—44no—
1540C22⋊C4—41no—
1541C22⋊C4—41no—
1542C22⋊C4—41no—
1543C22⋊C4—42no—
1544C22⋊C4—41no—
1545C22⋊C4—42no—
1546C22⋊C4—41no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—42no—
1553C22⋊C4—42no—
1554C22⋊C4—42no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—42no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—42no—
1562C22⋊C4—44no—
1563C22⋊C4—42no—
1564C22⋊C4—44no—
1565C22⋊C4—42no—
1566C22⋊C4—42no—
1567C22⋊C4—44no—
1568C22⋊C4—44no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—42no—
1576C22⋊C4—42no—
1577C22⋊C4C22×D4116yes—
1578C22⋊C4C22×D418yes—
1579C42—22no—
1580C42—22no—
1581C42—22no—
1582C42—24no—
1583C42—24no—
1584C42—24no—
1585C42—24no—
1586C42—22no—
1587C42—24no—
1588C42—22no—
1589C42—22no—
1590C42—28no—
1591C42—24no—
1592C42—24no—
1593C42—28no—
1594C42—28no—
1595C42—28no—
1596C42—22no—
1597C42—22no—
1598C42—24no—
1599C42—22no—
1600C42—24no—
1601C42—22no—
1602C42—44no—
1603C42—44no—
1604C42—44no—
1605C42—41no—
1606C42—44no—
1607C42—41no—
1608C42C22×D414yes—
1609C42C22×D418yes—
1610C23—22no—
1611C23—22no—
1612C23—22no—
1613C23—22no—
1614C23—22no—
1615C23—22no—
1616C23—22no—
1617C23—22no—
1618C23—22no—
1619C23—22no—
1620C23—22no—
1621C23—22no—
1622C23—21no—
1623C23—24no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—24no—
1628C23—21no—
1629C23—21no—
1630C23—24no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—24no—
1635C23—24no—
1636C23—24no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—24no—
1642C23—21no—
1643C23—416no—
1644C23—416no—
1645C23—88no—
1646C23—88no—
1647C23—88no—
1648C23—88no—
1649C23—88no—
1650C23C23×D414yes—
1651C23C2×2−1+414yes—
1652C23C2611yescharacteristic
1653Q8—28no—
1654Q8—48no—
1655Q8—48no—
1656Q8—44no—
1657Q8—44no—
1658Q8—44no—
1659Q8—84no—
1660Q8—88no—
1661D4—28no—
1662D4—28no—
1663D4—416no—
1664D4—48no—
1665D4—416no—
1666D4—48no—
1667D4—44no—
1668D4—48no—
1669D4—48no—
1670D4—88no—
1671D4—84no—
1672D4—84no—
1673D4—84no—
1674D4—164no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—24no—
1683C2×C4—24no—
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—21no—
1687C2×C4—216no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—24no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—24no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—24no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—24no—
1731C2×C4—21no—
1732C2×C4—22no—
1733C2×C4—21no—
1734C2×C4—24no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—21no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—21no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—24no—
1749C2×C4—21no—
1750C2×C4—22no—
1751C2×C4—21no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—416no—
1755C2×C4—48no—
1756C2×C4—416no—
1757C2×C4—44no—
1758C2×C4—48no—
1759C2×C4—48no—
1760C2×C4—48no—
1761C2×C4—44no—
1762C2×C4—48no—
1763C2×C4—44no—
1764C2×C4—44no—
1765C2×C4—44no—
1766C2×C4—82no—
1767C2×C4—88no—
1768C2×C4—88no—
1769C2×C4C23×D414yes—
1770C2×C4C23×D414yes—
1771C2×C4C23×D412yes—
1772C2×C4C23×D418yes—
1773C2×C4C23×D414yes—
1774C2×C4C23×D412yes—
1775C2×C4C23×D412yes—
1776C2×C4C2×2−1+412yes—
1777C2×C4#58512yes—
1778C2×C4#58512yes—
1779C2×C4#58512yes—
1780C2×C4#58512yes—
1781C22—24no—
1782C22—24no—
1783C22—24no—
1784C22—24no—
1785C22—24no—
1786C22—24no—
1787C22—42no—
1788C22—42no—
1789C22—42no—
1790C22—42no—
1791C22—42no—
1792C22—42no—
1793C22—42no—
1794C22—42no—
1795C22—44no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—44no—
1801C22—41no—
1802C22—41no—
1803C22—44no—
1804C22—41no—
1805C22—41no—
1806C22—44no—
1807C22—41no—
1808C22—41no—
1809C22—44no—
1810C22—41no—
1811C22—41no—
1812C22—44no—
1813C22—41no—
1814C22—44no—
1815C22—41no—
1816C22—832no—
1817C22C24×D411yescharacteristic
1818C22C22×2−1+411yescharacteristic
1819C22C2×#58511yescharacteristic
1820C22C2×#58511yescharacteristic
1821C22C2×#58511yescharacteristic
1822C22C2×#58511yescharacteristic
1823C22H(7,𝔽2)11yescharacteristic
1824C4—22no—
1825C4—24no—
1826C4—28no—
1827C4—22no—
1828C4—24no—
1829C4—24no—
1830C4—42no—
1831C4—41no—
1832C4—42no—
1833C4—42no—
1834C4—42no—
1835C4—42no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—42no—
1841C4—42no—
1842C4—42no—
1843C4—44no—
1844C4—41no—
1845C4—41no—
1846C4—42no—
1847C4—41no—
1848C4—42no—
1849C4—41no—
1850C4—42no—
1851C4—44no—
1852C4#348714yes—
1853C4#348914yes—
1854C2—44no—
1855C2—44no—
1856C2—81no—
1857C2—81no—
1858C2—84no—
1859C2#6276211yescharacteristic
1860C2C2×#348711yescharacteristic
1861C2C2×#348911yescharacteristic
1862C2#6295111yescharacteristic
1863C2#6296911yescharacteristic
1864C2#6298711yescharacteristic
1865C2#6302511yescharacteristic
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×#3555C2semidirect
2. C2×#3481C2semidirect
3. #59655C2semidirect
4. #59118C2semidirect
5. #59085C2semidirect
6. #59084C2semidirect
7. #59052C2semidirect
8. #51583C2semidirect
9. #51528C2semidirect
10. #45450C2semidirect
11. #45404C2semidirect
12. #45313C2semidirect
13. #45196C2semidirect
14. #45187C2semidirect
15. #42680C2semidirect
16. #42674C2semidirect
17. #42443C2semidirect
18. #42437C2semidirect
19. #39746C2semidirect
20. #39726C2semidirect
21. #38957C2semidirect
22. #38910C2semidirect
23. #37799C2semidirect
24. #37774C2semidirect
25. #37671C2semidirect
26. #36445C2semidirect
27. #36405C2semidirect
28. #36162C2semidirect
29. #36161C2semidirect
30. #36150C2semidirect
31. #35225C2semidirect
32. #35174C2semidirect
33. #34724C2semidirect
34. #34720C2semidirect
35. #34484C2semidirect
37. C2×#563C22semidirect
40. C2×Q82C22semidirect
41. C2×#557C22semidirect
42. C2×#557C22semidirect
45. C2×#556C22semidirect
50. C2×#552C22semidirect
55. C2×#544C22semidirect
57. C2×#541C22semidirect
58. C2×#541C22semidirect
59. C2×#541C22semidirect
60. C2×#533C22semidirect
61. C2×#533C22semidirect
72. #2857C22semidirect
73. #2857C22semidirect
75. #2855C22semidirect
76. #2849C22semidirect
77. #2848C22semidirect
78. #2848C22semidirect
79. #2816C22semidirect
80. #2813C22semidirect
81. #2732C22semidirect
82. #2731C22semidirect
83. #2729C22semidirect
84. #2727C22semidirect
85. #2725C22semidirect
86. #2725C22semidirect
87. #2721C22semidirect
88. #2721C22semidirect
89. #2718C22semidirect
90. #2718C22semidirect
91. #2718C22semidirect
92. #2716C22semidirect
93. #2714C22semidirect
94. #2711C22semidirect
95. #2710C22semidirect
96. #2707C22semidirect
97. #2707C22semidirect
98. #2705C22semidirect
99. #2705C22semidirect
100. #2694C22semidirect
101. #2694C22semidirect
102. #2694C22semidirect
103. #2694C22semidirect
107. #2685C22semidirect
108. #2685C22semidirect
109. #2685C22semidirect
110. #2681C22semidirect
112. #2674C22semidirect
113. #2670C22semidirect
114. #2658C22semidirect
115. #2638C22semidirect
116. #2630C22semidirect
117. #2626C22semidirect
118. #2626C22semidirect
120. #2624C22semidirect
122. #2620C22semidirect
123. #2620C22semidirect
124. #2592C22semidirect
125. #2582C22semidirect
126. #2558C22semidirect
127. #2552C22semidirect
128. #2550C22semidirect
131. #2547C22semidirect
132. #2546C22semidirect
133. #2545C22semidirect
134. #2545C22semidirect
136. #2542C22semidirect
137. #2542C22semidirect
139. #2540C22semidirect
141. #2538C22semidirect
142. #2538C22semidirect
143. #2512C22semidirect
145. #2492C22semidirect
146. #2491C22semidirect
147. #2491C22semidirect
149. #2490C22semidirect
150. #2490C22semidirect
151. #2485C22semidirect
152. #2485C22semidirect
153. #2482C22semidirect
154. #2480C22semidirect
155. #2480C22semidirect
156. #2480C22semidirect
157. #2479C22semidirect
158. #2478C22semidirect
159. #2478C22semidirect
160. #2477C22semidirect
161. #2475C22semidirect
162. #2475C22semidirect
163. #2472C22semidirect
164. #2470C22semidirect
165. #2469C22semidirect
166. #2468C22semidirect
167. #2468C22semidirect
168. #2467C22semidirect
169. #2467C22semidirect
170. #2466C22semidirect
171. #2466C22semidirect
172. #2466C22semidirect
173. #2463C22semidirect
174. #2461C22semidirect
175. #2460C22semidirect
176. #2460C22semidirect
177. #2460C22semidirect
178. #2458C22semidirect
179. #2455C22semidirect
182. #2454C22semidirect
183. #2454C22semidirect
184. #2454C22semidirect
185. #2454C22semidirect
186. #2454C22semidirect
187. #2454C22semidirect
188. #2453C22semidirect
189. #2453C22semidirect
192. #2452C22semidirect
193. #2452C22semidirect
194. #2452C22semidirect
195. #2452C22semidirect
196. #2452C22semidirect
197. #2448C22semidirect
198. #2448C22semidirect
199. #2448C22semidirect
202. #2446C22semidirect
203. #2441C22semidirect
204. #2441C22semidirect
205. #2441C22semidirect
206. #2441C22semidirect
207. #2441C22semidirect
208. #2440C22semidirect
209. #2439C22semidirect
217. #2432C22semidirect
218. #2429C22semidirect
219. #2429C22semidirect
220. #2429C22semidirect
221. #2429C22semidirect
223. #2427C22semidirect
224. #2427C22semidirect
227. #2426C22semidirect
228. #2426C22semidirect
229. #2426C22semidirect
230. #2426C22semidirect
231. #2426C22semidirect
232. #2426C22semidirect
233. #2423C22semidirect
235. #2421C22semidirect
236. #2417C22semidirect
237. #2415C22semidirect
238. #2415C22semidirect
239. #2415C22semidirect
240. #2415C22semidirect
242. #2414C22semidirect
243. #2411C22semidirect
248. #2407C22semidirect
249. #2398C22semidirect
250. #2395C22semidirect
251. #2392C22semidirect
252. #2392C22semidirect
253. #2378C22semidirect
254. #2370C22semidirect
255. #2369C22semidirect
257. #2367C22semidirect
258. #2367C22semidirect
259. #2367C22semidirect
260. #2365C22semidirect
262. #2363C22semidirect
263. #2362C22semidirect
264. #2362C22semidirect
265. #2362C22semidirect
266. #2360C22semidirect
267. #2360C22semidirect
270. Q8×C4⋊C4C22semidirect
271. Q8×C4⋊C4C22semidirect
272. #2344C22semidirect
274. #2341C22semidirect
275. #2330C22semidirect
276. #2326C22semidirect
277. #2324C22semidirect
278. #2323C22semidirect
279. #2323C22semidirect
281. #2316C22semidirect
284. C4×C4⋊Q8C22semidirect
285. C4×C4⋊Q8C22semidirect
287. C4×C22⋊Q8C22semidirect
288. C4×C22⋊Q8C22semidirect
289. C4×C22⋊Q8C22semidirect
290. C4×C22⋊Q8C22semidirect
291. C4×C22⋊Q8C22semidirect
292. C4×#123C22semidirect
294. #2296C22semidirect
295. #2296C22semidirect
296. #2295C22semidirect
298. #2290C22semidirect
299. #2280C22semidirect
300. C42×D4C22semidirect
316. #554D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35552
C2×#34812
#596552
#591182
#590852
#590842
#590522
#515832
#515282
#454502
#454042
#453132
#451962
#451872
#426802
#426742
#424432
#424372
#397462
#397262
#389572
#389102
#377992
#377742
#376712
#364452
#364052
#361622
#361612
#361502
#352252
#351742
#347242
#347202
#344842