Finite Group Databasebeta

← #7651277

Subgroups — #7651277

Order 512.

6773 conjugacy classes of subgroups.

The subgroup lattice has 1868 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3504C211yesmaximal, characteristic, complemented
2C2×#3494C211yesmaximal, characteristic
3#42965C212yesmaximal, complemented
4#42914C212yesmaximal, complemented
5#42875C212yesmaximal, complemented
6#42804C212yesmaximal, complemented
7#42651C212yesmaximal, complemented
8#42439C212yesmaximal, complemented
9#42437C212yesmaximal, complemented
10#42423C212yesmaximal, complemented
11#41412C214yesmaximal, complemented
12#40592C214yesmaximal, complemented
13#39891C212yesmaximal, complemented
14#39877C212yesmaximal, complemented
15#39866C212yesmaximal, complemented
16#39859C212yesmaximal, complemented
17#39470C212yesmaximal, complemented
18#39139C212yesmaximal, complemented
19#39134C212yesmaximal, complemented
20#38907C212yesmaximal, complemented
21#38422C214yesmaximal, complemented
22#38078C214yesmaximal, complemented
23#35640C211yesmaximal, characteristic, complemented
24#35584C211yesmaximal, characteristic, complemented
25#35531C211yesmaximal, characteristic, complemented
26#35529C211yesmaximal, characteristic, complemented
27#35516C211yesmaximal, characteristic, complemented
28#35515C211yesmaximal, characteristic, complemented
29#35254C211yesmaximal, characteristic, complemented
30#35253C211yesmaximal, characteristic, complemented
31#35167C211yesmaximal, characteristic, complemented
32C2×#2490C211yesmaximal, characteristic, complemented
33#34742C211yesmaximal, characteristic, complemented
34#34739C211yesmaximal, characteristic, complemented
35#34252C211yesmaximal, characteristic, complemented
36#3504—216no—
37#3494—216no—
38C2×#557C2212yescomplemented
39C2×#557C2212yescomplemented
40C2×#555C2212yes—
41C2×#554C2214yes—
42C2×#554C2214yes—
43C2×#554C2212yescomplemented
44C2×#554C2212yescomplemented
45C2×#553C2212yes—
46C2×#553C2212yes—
47C2×#551C2214yes—
48C2×#547C2212yes—
49C2×#546C2214yes—
50C2×#544C2211yescharacteristic
51C2×#544C2211yescharacteristic
52C2×#544C2211yescharacteristic
53C2×#544C2212yescomplemented
54C2×#544C2212yescomplemented
55C2×#542C2212yes—
56C2×#540C2212yes—
57C2×#535C2211yescharacteristic
58C2×#533C2211yescharacteristic
59C2×#533C2212yescomplemented
60C2×#532C2212yes—
61C2×#529C2212yes—
62C22×#125C2211yescharacteristic
63C22×#125C2212yescomplemented
64C2×#525C2211yescharacteristic
65C22×#121C2211yescharacteristic
66C2×#520C2211yescharacteristic
67C2×#520C2211yescharacteristic
68C2×#518C2211yescharacteristic
69C2×C4×#41C2211yescharacteristic
70C22×#117C2211yescharacteristic
71#2857C2214yes—
72#2857C2212yescomplemented
73#2854C2212yescomplemented
74#2854C2212yescomplemented
75#2851C2212yescomplemented
76#2821C2214yescomplemented
77#2820C2214yescomplemented
78#2816C2214yescomplemented
79#2814C2214yescomplemented
80#2721C2214yescomplemented
81#2721C2214yescomplemented
82#2721C2214yescomplemented
83#2716C2214yescomplemented
84#2700C2214yescomplemented
85#2700C2214yescomplemented
86#2700C2214yescomplemented
87#2694C2214yescomplemented
88#2694C2214yescomplemented
89#2694C2214yescomplemented
90#2694C2214yescomplemented
91#2694C2214yescomplemented
92#2694C2214yescomplemented
93#2690C2214yescomplemented
94#2690C2214yescomplemented
95#2690C2214yescomplemented
96#2687C2214yescomplemented
97#2681C2214yescomplemented
98#2681C2214yescomplemented
99#2681C2214yescomplemented
100#2681C2214yescomplemented
101#2681C2214yescomplemented
102#2681C2214yescomplemented
103#2680C2214yescomplemented
104#2680C2214yescomplemented
105#2680C2214yescomplemented
106#2677C2214yescomplemented
107#2674C2214yescomplemented
108#2674C2214yescomplemented
109#2674C2214yescomplemented
110#2672C2214yescomplemented
111#2672C2214yescomplemented
112#2664C2214yescomplemented
113#2663C2214yescomplemented
114#2659C2214yes—
115#2640C2214yescomplemented
116#2638C2214yescomplemented
117#2637C2214yescomplemented
118#2633C2214yescomplemented
119#2632C2214yescomplemented
120#2629C2212yescomplemented
121#2628C2212yescomplemented
122#2624C2212yescomplemented
123#2624C2212yescomplemented
124#2623C2214yescomplemented
125#2621C2214yescomplemented
126#2620C2214yescomplemented
127#2618C2214yescomplemented
128#2616C2214yescomplemented
129#2611C2214yescomplemented
130#2604C2214yescomplemented
131#2599C2214yescomplemented
132#2583C2214yes—
133#2580C2212yescomplemented
134#2580C2212yescomplemented
135#2566C2212yescomplemented
136#2566C2212yescomplemented
137#2563C2212yescomplemented
138#2561C2214yes—
139#2552C2212yescomplemented
140#2552C2212yescomplemented
141#2552C2212yescomplemented
142#2552C2212yescomplemented
143#2552C2212yescomplemented
144#2552C2212yescomplemented
145#2551C2212yescomplemented
146#2551C2212yescomplemented
147#2550C2212yescomplemented
148#2550C2212yescomplemented
149#2550C2212yescomplemented
150#2550C2212yescomplemented
151#2550C2212yescomplemented
152#2550C2212yescomplemented
153#2550C2212yescomplemented
154#2550C2212yescomplemented
155#2545C2214yescomplemented
156#2542C2212yescomplemented
157#2542C2214yescomplemented
158#2538C2212yescomplemented
159#2538C2212yescomplemented
160#2536C2214yescomplemented
161#2504C2212yescomplemented
162#2502C2214yes—
163#2501C2214yescomplemented
164#2501C2212yescomplemented
165#2500C2212yescomplemented
166#2500C2212yescomplemented
167#2491C2212yes—
168#2491C2212yes—
169#2491C2212yes—
170#2491C2212yes—
171#2490C2212yes—
172#2490C2212yes—
173#2490C2212yes—
174#2490C2212yes—
175#2490C2212yes—
176#2490C2212yes—
177#2490C2212yes—
178#2490C2212yes—
179#2490C2212yes—
180#2490C2212yes—
181#2490C2212yes—
182#2490C2212yes—
183#2487C2212yescomplemented
184#2486C2214yescomplemented
185#2486C2212yescomplemented
186#2485C2212yescomplemented
187#2485C2212yescomplemented
188#2454C2212yescomplemented
189#2454C2212yescomplemented
190#2454C2212yescomplemented
191#2454C2212yescomplemented
192#2452C2212yescomplemented
193#2452C2212yescomplemented
194#2452C2212yescomplemented
195#2452C2212yescomplemented
196#2448C2212yescomplemented
197#2448C2212yescomplemented
198#2448C2212yescomplemented
199#2448C2212yescomplemented
200#2445C2212yescomplemented
201#2445C2212yescomplemented
202#2445C2212yescomplemented
203#2445C2212yescomplemented
204#2442C2211yescharacteristic, complemented
205#2442C2211yescharacteristic, complemented
206#2442C2212yescomplemented
207#2441C2211yescharacteristic, complemented
208#2441C2211yescharacteristic, complemented
209#2441C2212yescomplemented
210#2440C2211yescharacteristic, complemented
211#2440C2212yescomplemented
212#2440C2211yescharacteristic, complemented
213#2439C2211yescharacteristic, complemented
214#2439C2211yescharacteristic, complemented
215#2439C2212yescomplemented
216#2438C2212yes—
217#2438C2214yes—
218#2438C2212yes—
219#2437C2214yes—
220#2437C2214yes—
221#2437C2212yes—
222#2437C2214yes—
223#2437C2214yes—
224#2437C2212yes—
225#2437C2214yes—
226#2435C2214yes—
227#2432C2214yescomplemented
228#2423C2211yescharacteristic, complemented
229#2423C2212yescomplemented
230#2423C2211yescharacteristic, complemented
231#2422C2211yescharacteristic, complemented
232#2422C2212yescomplemented
233#2422C2211yescharacteristic, complemented
234#2421C2212yescomplemented
235#2421C2211yescharacteristic, complemented
236#2421C2211yescharacteristic, complemented
237#2420C2211yescharacteristic, complemented
238#2420C2212yescomplemented
239#2420C2211yescharacteristic, complemented
240#2419C2212yes—
241#2419C2214yes—
242#2419C2212yes—
243#2418C2214yes—
244#2418C2214yes—
245#2418C2212yes—
246#2418C2214yes—
247#2418C2214yes—
248#2418C2212yes—
249#2418C2214yes—
250#2415C2214yescomplemented
251#2413C2214yescomplemented
252#2406C2214yescomplemented
253#2396C2212yescomplemented
254#2396C2212yescomplemented
255#2395C2212yescomplemented
256#2395C2212yescomplemented
257C2×#397C2212yes—
258C2×#394C2212yes—
259#2357C2212yescomplemented
260#2356C2212yescomplemented
261#2355C2212yescomplemented
262#2354C2212yescomplemented
263#2347C2212yescomplemented
264#2346C2212yescomplemented
265#2345C2212yescomplemented
266#2344C2212yescomplemented
267#2326C2214yescomplemented
268#2323C2214yescomplemented
269#2322C2214yescomplemented
270#2318C2214yes—
271#2317C2211yescharacteristic
272#2317C2211yescharacteristic
273#2317C2211yescharacteristic
274#2316C2211yescharacteristic
275#2316C2211yescharacteristic
276#2311C2211yescharacteristic
277#2311C2214yescomplemented
278#2309C2211yescharacteristic
279#2309C2211yescharacteristic
280C4×C22⋊Q8C2212yescomplemented
281C4×C22⋊Q8C2212yescomplemented
282C4×#123C2212yescomplemented
283C4×#123C2212yescomplemented
284#2297C2211yescharacteristic
285#2296C2211yescharacteristic
286#2296C2211yescharacteristic
287#2296C2211yescharacteristic
288C2×#390C2211yescharacteristic
289C2×#390C2212yes—
290C2×#390C2211yescharacteristic
291#2290C2214yes—
292C2×#388C2212yes—
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic
295#2280C2211yescharacteristic
296#2280C2211yescharacteristic
297C2×#380C2211yescharacteristic
298#2274C2211yescharacteristic
299C2×C4×C4⋊C4C2211yescharacteristic
300C2×C4×C22⋊C4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2314yes—
303C23×D4C2311yescharacteristic
304C23×D4C2312yes—
305C24×C4C2311yescharacteristic
306#557—216no—
307#557—216no—
308#555—216no—
309#554—232no—
310#554—232no—
311#554—216no—
312#554—216no—
313#553—216no—
314#553—216no—
315#551—232no—
316#547—216no—
317#546—232no—
318#544—28no—
319#544—216no—
320#544—28no—
321#544—28no—
322#544—216no—
323#542—216no—
324#540—216no—
325#535—28no—
326#533—28no—
327#533—216no—
328#532—216no—
329C2×C4⋊Q8C2312yes—
330C2×C4⋊Q8C2314yes—
331C2×C4⋊Q8C2314yes—
332C2×C4⋊Q8C2312yes—
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2314yes—
340C2×#127C2312yes—
341#529—216no—
342C2×#126C2314yes—
343C2×#126C2314yes—
344C2×#125—28no—
345C2×#125—216no—
346C2×#125C2314yes—
347C2×#125C2312yes—
348C2×#125C2312yes—
349C2×#125C2312yes—
350C2×#125C2312yes—
351C2×#125C2312yes—
352C2×#125C2311yescharacteristic
353C2×#125C2312yes—
354C2×#125C2312yes—
355C2×#125C2314yes—
356C2×#125C2314yes—
357C2×#125C2312yes—
358C2×#125C2311yescharacteristic
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#125C2314yes—
362C2×#124C2314yes—
363C2×#124C2312yes—
364C2×#124C2314yes—
365C2×#124C2314yes—
366C2×#124C2314yes—
367#525—28no—
368C2×#123C2314yes—
369C2×#123C2312yes—
370C2×#123C2314yes—
371C2×#123C2314yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2312yes—
375C2×#123C2312yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×C22⋊Q8C2314yes—
381C2×C22⋊Q8C2314yes—
382C2×C22⋊Q8C2314yes—
383C2×C22⋊Q8C2314yes—
384C2×C22⋊Q8C2311yescharacteristic
385C2×C22⋊Q8C2311yescharacteristic
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2314yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2314yes—
401C2×#121—28no—
402C2×#121C2314yes—
403C2×#121C2312yes—
404C2×#121C2312yes—
405C2×#121C2312yes—
406C2×#121C2312yes—
407C2×#121C2312yes—
408C2×#121C2312yes—
409C2×#121C2311yescharacteristic
410C2×#121C2311yescharacteristic
411C2×#121C2314yes—
412C2×#121C2314yes—
413C2×#120C2312yes—
414C2×#120C2314yes—
415#520—28no—
416#520D4116yes—
417#518—28no—
418C4×#41—28no—
419C2×C4×Q8C2314yes—
420C2×C4×Q8C2312yes—
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2314yes—
423C2×C4×Q8C2311yescharacteristic
424C2×C4×Q8C2311yescharacteristic
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2314yes—
430C2×C4×D4C2314yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2311yescharacteristic
436C2×C4×D4C2311yescharacteristic
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2314yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2314yes—
442C2×C4×D4C2312yes—
443C2×#117—28no—
444C2×#117C2311yescharacteristic
445C2×#117C2311yescharacteristic
446C2×#117C2311yescharacteristic
447C2×#117C2311yescharacteristic
448C2×#117C2311yescharacteristic
449C2×#117C2311yescharacteristic
450C2×#117C2314yes—
451C2×#117C2312yes—
452C2×#117C2312yes—
453C2×#117C2312yes—
454C2×#117C2311yescharacteristic
455C2×#117C2311yescharacteristic
456C2×#117C2312yes—
457C2×#117C2314yes—
458C2×#117C2311yescharacteristic
459C2×#117C2312yes—
460C22×C4⋊C4C2311yescharacteristic
461C22×C4⋊C4C2314yes—
462C22×C4⋊C4C2311yescharacteristic
463C22×C4⋊C4C2314yes—
464C22×C4⋊C4C2312yes—
465C22×C4⋊C4C2312yes—
466C22×C4⋊C4C2311yescharacteristic
467C22×C4⋊C4C2311yescharacteristic
468C22×C4⋊C4C2312yes—
469C22×C4⋊C4C2312yes—
470C22×C4⋊C4C2311yescharacteristic
471C22×C22⋊C4C2312yes—
472C22×C22⋊C4C2312yes—
473C22×C22⋊C4C2314yes—
474C22×C22⋊C4C2311yescharacteristic
475C22×C22⋊C4C2311yescharacteristic
476C22×C22⋊C4C2312yes—
477C22×C22⋊C4C2312yes—
478C22×C22⋊C4C2312yes—
479C22×C22⋊C4C2312yes—
480C22×C22⋊C4C2312yes—
481C22×C42C2312yes—
482C22×C42C2312yes—
483C22×C42C2311yescharacteristic
484C22×C42C2311yescharacteristic
485C22×C42C2312yes—
486#400C2312yes—
487#400C2314yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2314yes—
492#399C2314yes—
493#399C2314yes—
494#399C2312yes—
495#399C2314yes—
496#399C2314yes—
497#399C2314yes—
498#399C2314yes—
499#399C2314yes—
500#399C2312yes—
501#399C2314yes—
502#399C2312yes—
503#399C2312yes—
504#399C2314yes—
505#399C2314yes—
506#398C2314yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#398C2312yes—
515#398C2314yes—
516#398C2314yes—
517#398C2314yes—
518#398C2314yes—
519#398C2312yes—
520#398C2314yes—
521#398C2312yes—
522#398C2312yes—
523#398C2312yes—
524#398C2312yes—
525#397C2314yes—
526#397C2314yes—
527#397C2314yes—
528#397C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#397C2314yes—
533#397C2314yes—
534#397C2314yes—
535#397C2314yes—
536#397C2312yes—
537#397C2312yes—
538#397C2314yes—
539#397C2312yes—
540#397C2312yes—
541#397C2312yes—
542#397C2312yes—
543#397C2314yes—
544#396C2312yes—
545#396C2314yes—
546#396C2314yes—
547#396C2314yes—
548#396C2314yes—
549#396C2314yes—
550#396C2314yes—
551#396C2312yes—
552#396C2314yes—
553#396C2314yes—
554#396C2312yes—
555#396C2314yes—
556#396C2314yes—
557#396C2312yes—
558#395C2314yes—
559#395C2314yes—
560#395C2312yes—
561#395C2314yes—
562#395C2314yes—
563#395C2314yes—
564#395C2314yes—
565#395C2314yes—
566#395C2312yes—
567#394C2312yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2312yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2312yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#394C2312yes—
588#394C2314yes—
589#393C2312yes—
590#393C2314yes—
591#393C2314yes—
592#393C2314yes—
593#393C2314yes—
594#393C2314yes—
595#393C2314yes—
596#393C2314yes—
597#393C2312yes—
598#391C2312yes—
599#391C2314yes—
600#391C2314yes—
601#391C2314yes—
602#391C2314yes—
603#391C2311yescharacteristic
604#391C2311yescharacteristic
605#391C2312yes—
606#391C2314yes—
607#391C2312yes—
608#390C2312yes—
609#390C2312yes—
610#390C2312yes—
611#390C2312yes—
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2314yes—
620#390C2314yes—
621#390C2312yes—
622#390C2312yes—
623#390C2312yes—
624#390C2311yescharacteristic
625#390C2311yescharacteristic
626#390C2314yes—
627#390C2312yes—
628#390C2314yes—
629#390C2314yes—
630#390C2314yes—
631#390C2312yes—
632#390C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2314yes—
648#389C2314yes—
649#389C2312yes—
650#389C2314yes—
651#389C2314yes—
652#389C2311yescharacteristic
653#389C2311yescharacteristic
654#389C2314yes—
655#389C2314yes—
656#389C2311yescharacteristic
657#389C2311yescharacteristic
658#389C2311yescharacteristic
659#389C2311yescharacteristic
660#389C2314yes—
661#389C2314yes—
662#389C2314yes—
663#389C2311yescharacteristic
664#389C2311yescharacteristic
665#389C2311yescharacteristic
666#389C2311yescharacteristic
667#389C2311yescharacteristic
668#389C2311yescharacteristic
669#389C2312yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2312yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2312yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2312yes—
695#388C2312yes—
696#387C2314yes—
697#387C2314yes—
698#387C2312yes—
699#387C2314yes—
700#387C2312yes—
701#387C2314yes—
702#387C2314yes—
703#387C2312yes—
704#387C2312yes—
705#387C2314yes—
706#387C2314yes—
707#387C2312yes—
708#387C2314yes—
709#387C2312yes—
710#387C2312yes—
711#387C2312yes—
712#386C2314yes—
713#386C2312yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2312yes—
718#386C2314yes—
719#386C2312yes—
720#386C2314yes—
721#386C2312yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2312yes—
730#385C2312yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2312yes—
736#385C2314yes—
737#385C2312yes—
738#385C2312yes—
739#385C2314yes—
740#385C2312yes—
741#385C2314yes—
742#385C2312yes—
743#385C2312yes—
744#385C2312yes—
745#385C2312yes—
746#385C2312yes—
747#385C2312yes—
748#384C2311yescharacteristic
749#384C2312yes—
750#384C2312yes—
751#384C2312yes—
752#384C2314yes—
753#384C2314yes—
754#384C2314yes—
755#384C2311yescharacteristic
756#384C2311yescharacteristic
757#384C2311yescharacteristic
758#383C2314yes—
759#382C2311yescharacteristic
760#382C2312yes—
761#382C2314yes—
762#382C2311yescharacteristic
763#382C2312yes—
764#382C2312yes—
765#382C2311yescharacteristic
766#382C2311yescharacteristic
767#381C2314yes—
768#381C2312yes—
769#381C2312yes—
770#381C2314yes—
771#381C2312yes—
772#381C2312yes—
773#380C2314yes—
774#380C2314yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2314yes—
779#380C2314yes—
780#380C2314yes—
781#380C2314yes—
782#380C2314yes—
783#380C2314yes—
784#380C2311yescharacteristic
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2311yescharacteristic
789#380C2311yescharacteristic
790#380C2312yes—
791#380C2311yescharacteristic
792#380C2312yes—
793#380C2312yes—
794#380C2312yes—
795#380C2311yescharacteristic
796#380C2312yes—
797#380C2311yescharacteristic
798#380C2311yescharacteristic
799#380C2312yes—
800#380C2311yescharacteristic
801#379C2314yes—
802#379C2314yes—
803#379C2312yes—
804#379C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2314yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2311yescharacteristic
829C4×C22⋊C4C2311yescharacteristic
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2311yescharacteristic
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2311yescharacteristic
835C4×C22⋊C4C2311yescharacteristic
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2311yescharacteristic
840#376C2314yes—
841C2×#95C2312yes—
842C2×#95C2311yescharacteristic
843C2×#95C2312yes—
844C2×#95C2311yescharacteristic
845C25C2411yescharacteristic
846C25C2412yes—
847C2×#41—216no—
848C2×#41—24no—
849C2×#41—24no—
850C2×#41—48no—
851C2×#41—84no—
852C2×#41C2×D418yes—
853C22×Q8C2411yescharacteristic
854C22×Q8C2412yes—
855C22×Q8C2414yes—
856C22×Q8C2412yes—
857C22×Q8C2414yes—
858C22×Q8C2414yes—
859C22×D4—24no—
860C22×D4—28no—
861C22×D4—24no—
862C22×D4—24no—
863C22×D4—44no—
864C22×D4—82no—
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2414yes—
869C22×D4C2412yes—
870C22×D4C2411yescharacteristic
871C22×D4C2412yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C23×C4—24no—
876C23×C4—24no—
877C23×C4—24no—
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2411yescharacteristic
881C23×C4C2411yescharacteristic
882C23×C4C2411yescharacteristic
883C23×C4C2411yescharacteristic
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2412yes—
887C23×C4C2411yescharacteristic
888C23×C4C2411yescharacteristic
889C23×C4C2412yes—
890C23×C4C2411yescharacteristic
891C23×C4C2412yes—
892C23×C4C2414yes—
893C23×C4C2414yes—
894C23×C4C2414yes—
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2414yes—
899C23×C4C2411yescharacteristic
900C4⋊Q8—28no—
901C4⋊Q8—24no—
902C4⋊Q8—28no—
903C4⋊Q8—24no—
904C4⋊Q8—28no—
905C4⋊Q8—28no—
906C4⋊Q8—28no—
907C4⋊Q8—216no—
908C4⋊Q8—28no—
909C4⋊Q8—216no—
910C4⋊Q8—84no—
911#127—28no—
912#126—216no—
913#126—216no—
914#125—24no—
915#125—28no—
916#125—28no—
917#125—28no—
918#125—28no—
919#125—28no—
920#125—28no—
921#125—216no—
922#125—216no—
923#125—28no—
924#125—24no—
925#125—28no—
926#125—28no—
927#125—216no—
928#125—28no—
929#125—216no—
930#124—28no—
931#124—216no—
932#124—216no—
933#124—48no—
934#124—84no—
935#123—28no—
936#123—216no—
937#123—216no—
938#123—216no—
939#123—216no—
940#123—48no—
941#123—44no—
942#123—44no—
943#123—84no—
944#123—84no—
945#123—84no—
946#123—84no—
947C22⋊Q8—24no—
948C22⋊Q8—24no—
949C22⋊Q8—216no—
950C22⋊Q8—216no—
951C22⋊Q8—216no—
952C22⋊Q8—216no—
953C22⋊Q8—216no—
954C22⋊Q8—28no—
955C22⋊Q8—28no—
956C22⋊Q8—216no—
957C22⋊Q8—216no—
958C22⋊Q8—216no—
959C22⋊Q8—216no—
960C22⋊Q8—216no—
961C22⋊Q8—44no—
962C22⋊Q8—44no—
963C22⋊Q8—48no—
964C22⋊Q8—84no—
965C22⋊Q8—84no—
966C22⋊Q8—84no—
967C22⋊Q8—84no—
968#121—24no—
969#121—24no—
970#121—28no—
971#121—28no—
972#121—216no—
973#121—28no—
974#121—28no—
975#121—28no—
976#121—28no—
977#121—216no—
978#121—216no—
979#120—28no—
980#120—216no—
981C4×Q8—24no—
982C4×Q8—24no—
983C4×Q8—28no—
984C4×Q8—28no—
985C4×Q8—28no—
986C4×Q8—216no—
987C4×Q8—216no—
988C4×Q8C2×D4116yes—
989C4×D4—28no—
990C4×D4—28no—
991C4×D4—24no—
992C4×D4—24no—
993C4×D4—216no—
994C4×D4—28no—
995C4×D4—28no—
996C4×D4—28no—
997C4×D4—216no—
998C4×D4—28no—
999C4×D4—28no—
1000C4×D4—28no—
1001C4×D4—28no—
1002C4×D4—216no—
1003C4×D4C2×D4116yes—
1004C4×D4C2×D4132yes—
1005#117—24no—
1006#117—28no—
1007#117—24no—
1008#117—24no—
1009#117—28no—
1010#117—24no—
1011#117—24no—
1012#117—24no—
1013#117—24no—
1014#117—24no—
1015#117—28no—
1016#117—28no—
1017#117—216no—
1018#117—84no—
1019#117C2×D418yes—
1020#117C2×D4116yes—
1021C2×C4⋊C4—28no—
1022C2×C4⋊C4—24no—
1023C2×C4⋊C4—28no—
1024C2×C4⋊C4—28no—
1025C2×C4⋊C4—216no—
1026C2×C4⋊C4—216no—
1027C2×C4⋊C4—24no—
1028C2×C4⋊C4—24no—
1029C2×C4⋊C4—24no—
1030C2×C4⋊C4C2×D418yes—
1031C2×C4⋊C4C2×D4116yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2414yes—
1109C2×C22⋊C4—28no—
1110C2×C22⋊C4—28no—
1111C2×C22⋊C4—216no—
1112C2×C22⋊C4—42no—
1113C2×C22⋊C4—44no—
1114C2×C22⋊C4—42no—
1115C2×C22⋊C4—82no—
1116C2×C22⋊C4—82no—
1117C2×C22⋊C4—82no—
1118C2×C22⋊C4—82no—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2411yescharacteristic
1128C2×C22⋊C4C2411yescharacteristic
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2411yescharacteristic
1131C2×C22⋊C4C2411yescharacteristic
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2411yescharacteristic
1157C2×C22⋊C4C2411yescharacteristic
1158C2×C22⋊C4C2411yescharacteristic
1159C2×C22⋊C4C2411yescharacteristic
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C42—28no—
1183C2×C42—24no—
1184C2×C42—24no—
1185C2×C42—28no—
1186C2×C42—82no—
1187C2×C42C2412yes—
1188C2×C42C2412yes—
1189C2×C42C2412yes—
1190C2×C42C2412yes—
1191C2×C42C2411yescharacteristic
1192C2×C42C2412yes—
1193C2×C42C2412yes—
1194C2×C42C2414yes—
1195C2×C42C2412yes—
1196C2×C42C2412yes—
1197C2×C42C2411yescharacteristic
1198C2×C42C2411yescharacteristic
1199C2×C42C2412yes—
1200C2×C42C2412yes—
1201C2×C42C2411yescharacteristic
1202C2×C42C2411yescharacteristic
1203C2×C42C2411yescharacteristic
1204C2×C42C2411yescharacteristic
1205C2×C42C2411yescharacteristic
1206C2×C42C2414yes—
1207C2×C42C2414yes—
1208C2×C42C2414yes—
1209C2×C42C2414yes—
1210C2×C42C2412yes—
1211C2×C42C2414yes—
1212#95C2411yescharacteristic
1213#95C2411yescharacteristic
1214#95C2411yescharacteristic
1215#95C2411yescharacteristic
1216#95C2411yescharacteristic
1217#95C2411yescharacteristic
1218#95C2411yescharacteristic
1219#95C2411yescharacteristic
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2412yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2414yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2414yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270C24—22no—
1271C24—22no—
1272C24—22no—
1273C24—22no—
1274C24—24no—
1275C24—24no—
1276C24—24no—
1277C24—41no—
1278C24—41no—
1279C24—41no—
1280C24—42no—
1281C24—42no—
1282C24—42no—
1283C24—42no—
1284C24C2511yescharacteristic
1285C24C2514yes—
1286C24C2512yes—
1287C24C2511yescharacteristic
1288C24C2511yescharacteristic
1289#41—232no—
1290#41—832no—
1291C2×Q8—24no—
1292C2×Q8—28no—
1293C2×Q8—24no—
1294C2×Q8—28no—
1295C2×Q8—28no—
1296C2×Q8—22no—
1297C2×Q8—22no—
1298C2×Q8—44no—
1299C2×Q8—42no—
1300C2×Q8—42no—
1301C2×Q8—42no—
1302C2×Q8—44no—
1303C2×Q8—42no—
1304C2×Q8—44no—
1305C2×Q8—44no—
1306C2×Q8—44no—
1307C2×Q8—44no—
1308C2×Q8C22×D414yes—
1309C2×D4—24no—
1310C2×D4—24no—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—28no—
1314C2×D4—24no—
1315C2×D4—28no—
1316C2×D4—28no—
1317C2×D4—24no—
1318C2×D4—24no—
1319C2×D4—28no—
1320C2×D4—28no—
1321C2×D4—22no—
1322C2×D4—22no—
1323C2×D4—24no—
1324C2×D4—24no—
1325C2×D4—24no—
1326C2×D4—24no—
1327C2×D4—44no—
1328C2×D4—42no—
1329C2×D4—42no—
1330C2×D4—44no—
1331C2×D4—42no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—416no—
1338C2×D4—816no—
1339C2×D4C22×D418yes—
1340C2×D4C22×D414yes—
1341C22×C4—24no—
1342C22×C4—24no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—24no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—28no—
1353C22×C4—24no—
1354C22×C4—22no—
1355C22×C4—24no—
1356C22×C4—22no—
1357C22×C4—24no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—24no—
1371C22×C4—28no—
1372C22×C4—28no—
1373C22×C4—41no—
1374C22×C4—42no—
1375C22×C4—44no—
1376C22×C4—42no—
1377C22×C4—44no—
1378C22×C4—42no—
1379C22×C4—42no—
1380C22×C4—41no—
1381C22×C4—41no—
1382C22×C4—41no—
1383C22×C4—42no—
1384C22×C4—41no—
1385C22×C4—42no—
1386C22×C4—41no—
1387C22×C4—41no—
1388C22×C4—42no—
1389C22×C4—44no—
1390C22×C4—42no—
1391C22×C4—44no—
1392C22×C4—42no—
1393C22×C4—44no—
1394C22×C4—42no—
1395C22×C4—42no—
1396C22×C4—44no—
1397C22×C4—42no—
1398C22×C4—42no—
1399C22×C4—44no—
1400C22×C4—44no—
1401C22×C4—416no—
1402C22×C4C22×D418yes—
1403C22×C4C22×D418yes—
1404C22×C4C22×D4116yes—
1405C22×C4C22×D414yes—
1406C22×C42−1+414yes—
1407C22×C42−1+414yes—
1408C22×C4C2511yescharacteristic
1409C22×C4C2511yescharacteristic
1410C22×C4C2511yescharacteristic
1411C22×C4C2512yes—
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C22×C4C2512yes—
1415C22×C4C2512yes—
1416C22×C4C2514yes—
1417C22×C4C2512yes—
1418C22×C4C2512yes—
1419C22×C4C2512yes—
1420C22×C4C2511yescharacteristic
1421C22×C4C2511yescharacteristic
1422C22×C4C2512yes—
1423C22×C4C2512yes—
1424C22×C4C2511yescharacteristic
1425C22×C4C2511yescharacteristic
1426C22×C4C2512yes—
1427C22×C4C2512yes—
1428C22×C4C2514yes—
1429C22×C4C2512yes—
1430C22×C4C2512yes—
1431C22×C4C2512yes—
1432C22×C4C2514yes—
1433C22×C4C2512yes—
1434C22×C4C2512yes—
1435C22×C4C2511yescharacteristic
1436C22×C4C2511yescharacteristic
1437C22×C4C2511yescharacteristic
1438C4⋊C4—22no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—24no—
1442C4⋊C4—28no—
1443C4⋊C4—28no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—24no—
1447C4⋊C4—24no—
1448C4⋊C4—28no—
1449C4⋊C4—24no—
1450C4⋊C4—28no—
1451C4⋊C4—28no—
1452C4⋊C4—28no—
1453C4⋊C4—28no—
1454C4⋊C4—28no—
1455C4⋊C4—28no—
1456C4⋊C4—22no—
1457C4⋊C4—24no—
1458C4⋊C4—22no—
1459C4⋊C4—22no—
1460C4⋊C4—24no—
1461C4⋊C4—24no—
1462C4⋊C4—22no—
1463C4⋊C4—22no—
1464C4⋊C4—28no—
1465C4⋊C4—28no—
1466C4⋊C4—28no—
1467C4⋊C4—24no—
1468C4⋊C4—24no—
1469C4⋊C4—24no—
1470C4⋊C4—24no—
1471C4⋊C4—28no—
1472C4⋊C4—24no—
1473C4⋊C4—28no—
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—22no—
1477C4⋊C4—22no—
1478C4⋊C4—22no—
1479C4⋊C4—22no—
1480C4⋊C4—24no—
1481C4⋊C4—24no—
1482C4⋊C4—24no—
1483C4⋊C4—42no—
1484C4⋊C4—44no—
1485C4⋊C4—42no—
1486C4⋊C4—42no—
1487C4⋊C4—42no—
1488C4⋊C4—44no—
1489C4⋊C4—42no—
1490C4⋊C4—42no—
1491C4⋊C4—44no—
1492C4⋊C4—42no—
1493C4⋊C4—42no—
1494C4⋊C4—42no—
1495C4⋊C4—44no—
1496C4⋊C4—44no—
1497C4⋊C4—44no—
1498C4⋊C4—44no—
1499C4⋊C4—44no—
1500C4⋊C4—42no—
1501C4⋊C4—42no—
1502C4⋊C4—44no—
1503C4⋊C4—42no—
1504C4⋊C4—42no—
1505C4⋊C4—42no—
1506C4⋊C4—42no—
1507C4⋊C4—44no—
1508C4⋊C4—42no—
1509C4⋊C4—42no—
1510C4⋊C4C22×D414yes—
1511C4⋊C4C22×D414yes—
1512C4⋊C4C22×D418yes—
1513C4⋊C4C22×D418yes—
1514C4⋊C4C22×D4116yes—
1515C22⋊C4—24no—
1516C22⋊C4—24no—
1517C22⋊C4—28no—
1518C22⋊C4—24no—
1519C22⋊C4—24no—
1520C22⋊C4—24no—
1521C22⋊C4—24no—
1522C22⋊C4—24no—
1523C22⋊C4—24no—
1524C22⋊C4—24no—
1525C22⋊C4—24no—
1526C22⋊C4—22no—
1527C22⋊C4—22no—
1528C22⋊C4—24no—
1529C22⋊C4—24no—
1530C22⋊C4—24no—
1531C22⋊C4—24no—
1532C22⋊C4—28no—
1533C22⋊C4—28no—
1534C22⋊C4—28no—
1535C22⋊C4—28no—
1536C22⋊C4—28no—
1537C22⋊C4—24no—
1538C22⋊C4—28no—
1539C22⋊C4—24no—
1540C22⋊C4—22no—
1541C22⋊C4—28no—
1542C22⋊C4—22no—
1543C22⋊C4—24no—
1544C22⋊C4—41no—
1545C22⋊C4—41no—
1546C22⋊C4—41no—
1547C22⋊C4—44no—
1548C22⋊C4—41no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—42no—
1558C22⋊C4—44no—
1559C22⋊C4—42no—
1560C22⋊C4—44no—
1561C22⋊C4—42no—
1562C22⋊C4—44no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—42no—
1566C22⋊C4—44no—
1567C22⋊C4—42no—
1568C22⋊C4—42no—
1569C22⋊C4—44no—
1570C22⋊C4—42no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—42no—
1575C22⋊C4—42no—
1576C22⋊C4C22×D418yes—
1577C22⋊C4C22×D4116yes—
1578C42—22no—
1579C42—24no—
1580C42—24no—
1581C42—24no—
1582C42—24no—
1583C42—22no—
1584C42—24no—
1585C42—24no—
1586C42—22no—
1587C42—22no—
1588C42—24no—
1589C42—28no—
1590C42—24no—
1591C42—22no—
1592C42—22no—
1593C42—22no—
1594C42—22no—
1595C42—24no—
1596C42—24no—
1597C42—44no—
1598C42—44no—
1599C42—44no—
1600C42—44no—
1601C42C22×D418yes—
1602C42C22×D4116yes—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—22no—
1611C23—22no—
1612C23—21no—
1613C23—22no—
1614C23—22no—
1615C23—21no—
1616C23—22no—
1617C23—22no—
1618C23—21no—
1619C23—24no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—24no—
1624C23—24no—
1625C23—24no—
1626C23—21no—
1627C23—24no—
1628C23—21no—
1629C23—24no—
1630C23—21no—
1631C23—24no—
1632C23—21no—
1633C23—44no—
1634C23—44no—
1635C23—44no—
1636C23—44no—
1637C23—48no—
1638C23—82no—
1639C23—82no—
1640C23—82no—
1641C23—84no—
1642C23—84no—
1643C23—84no—
1644C23—84no—
1645C23—84no—
1646C23—84no—
1647C23C23×D414yes—
1648C23C23×D412yes—
1649C23C2×2−1+412yes—
1650C23C2×2−1+412yes—
1651C23#58512yes—
1652C23C2611yescharacteristic
1653Q8—28no—
1654Q8—84no—
1655Q8—88no—
1656Q8—88no—
1657Q8—84no—
1658Q8—88no—
1659D4—216no—
1660D4—28no—
1661D4—416no—
1662D4—48no—
1663D4—48no—
1664D4—48no—
1665D4—88no—
1666D4—84no—
1667D4—88no—
1668D4—88no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—24no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—24no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—216no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—24no—
1693C2×C4—22no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—24no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—24no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—21no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—24no—
1731C2×C4—21no—
1732C2×C4—22no—
1733C2×C4—24no—
1734C2×C4—22no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—24no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—48no—
1750C2×C4—416no—
1751C2×C4—44no—
1752C2×C4—48no—
1753C2×C4—44no—
1754C2×C4—44no—
1755C2×C4—44no—
1756C2×C4—44no—
1757C2×C4—44no—
1758C2×C4—88no—
1759C2×C4—84no—
1760C2×C4—88no—
1761C2×C4—82no—
1762C2×C4—84no—
1763C2×C4—82no—
1764C2×C4—84no—
1765C2×C4—84no—
1766C2×C4—88no—
1767C2×C4—84no—
1768C2×C4—82no—
1769C2×C4#536116yes—
1770C2×C4C23×D414yes—
1771C2×C4C23×D414yes—
1772C2×C4C23×D414yes—
1773C2×C4C23×D418yes—
1774C2×C4C23×D412yes—
1775C2×C4C23×D412yes—
1776C2×C4C2×2−1+412yes—
1777C2×C4C2×2−1+412yes—
1778C2×C4C2×2−1+412yes—
1779C2×C4C2×2−1+412yes—
1780C2×C4#58512yes—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—22no—
1786C22—22no—
1787C22—24no—
1788C22—22no—
1789C22—24no—
1790C22—22no—
1791C22—24no—
1792C22—22no—
1793C22—41no—
1794C22—42no—
1795C22—42no—
1796C22—41no—
1797C22—41no—
1798C22—42no—
1799C22—42no—
1800C22—41no—
1801C22—44no—
1802C22—41no—
1803C22—44no—
1804C22—41no—
1805C22—41no—
1806C22—44no—
1807C22—41no—
1808C22—44no—
1809C22—41no—
1810C22—44no—
1811C22—41no—
1812C22—41no—
1813C22—44no—
1814C22—44no—
1815C22—88no—
1816C22—168no—
1817C22C2×#53614yes—
1818C22C24×D411yescharacteristic
1819C22C22×2−1+411yescharacteristic
1820C22C22×2−1+411yescharacteristic
1821C22C2×#58511yescharacteristic
1822C22C2×#58511yescharacteristic
1823C22H(7,𝔽2)11yescharacteristic
1824C22H(7,𝔽2)11yescharacteristic
1825C4—24no—
1826C4—28no—
1827C4—24no—
1828C4—24no—
1829C4—22no—
1830C4—42no—
1831C4—41no—
1832C4—42no—
1833C4—42no—
1834C4—41no—
1835C4—42no—
1836C4—41no—
1837C4—42no—
1838C4—44no—
1839C4—42no—
1840C4—42no—
1841C4—41no—
1842C4—42no—
1843C4—42no—
1844C4—42no—
1845C4—44no—
1846C4—41no—
1847C4—41no—
1848C4—42no—
1849C4—42no—
1850C4—41no—
1851C4—41no—
1852C4—41no—
1853C4C2×#53614yes—
1854C4C2×#53614yes—
1855C2—24no—
1856C2—44no—
1857C2—42no—
1858C2—81no—
1859C2—84no—
1860C2C22×#53611yescharacteristic
1861C2#6283111yescharacteristic
1862C2#6288111yescharacteristic
1863C2#6295811yescharacteristic
1864C2#6295811yescharacteristic
1865C2#6298711yescharacteristic
1866C2#6300311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#3494C2
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×#3504C2semidirect
3. #42965C2semidirect
4. #42914C2semidirect
5. #42875C2semidirect
6. #42804C2semidirect
7. #42651C2semidirect
8. #42439C2semidirect
9. #42437C2semidirect
10. #42423C2semidirect
11. #41412C2semidirect
12. #40592C2semidirect
13. #39891C2semidirect
14. #39877C2semidirect
15. #39866C2semidirect
16. #39859C2semidirect
17. #39470C2semidirect
18. #39139C2semidirect
19. #39134C2semidirect
20. #38907C2semidirect
21. #38422C2semidirect
22. #38078C2semidirect
23. #35640C2semidirect
24. #35584C2semidirect
25. #35531C2semidirect
26. #35529C2semidirect
27. #35516C2semidirect
28. #35515C2semidirect
29. #35254C2semidirect
30. #35253C2semidirect
31. #35167C2semidirect
32. C2×#2490C2semidirect
33. #34742C2semidirect
34. #34739C2semidirect
35. #34252C2semidirect
38. C2×#557C22semidirect
39. C2×#557C22semidirect
43. C2×#554C22semidirect
44. C2×#554C22semidirect
53. C2×#544C22semidirect
54. C2×#544C22semidirect
59. C2×#533C22semidirect
63. C22×#125C22semidirect
72. #2857C22semidirect
73. #2854C22semidirect
74. #2854C22semidirect
75. #2851C22semidirect
76. #2821C22semidirect
77. #2820C22semidirect
78. #2816C22semidirect
79. #2814C22semidirect
80. #2721C22semidirect
81. #2721C22semidirect
82. #2721C22semidirect
83. #2716C22semidirect
84. #2700C22semidirect
85. #2700C22semidirect
86. #2700C22semidirect
87. #2694C22semidirect
88. #2694C22semidirect
89. #2694C22semidirect
90. #2694C22semidirect
91. #2694C22semidirect
92. #2694C22semidirect
93. #2690C22semidirect
94. #2690C22semidirect
95. #2690C22semidirect
96. #2687C22semidirect
97. #2681C22semidirect
98. #2681C22semidirect
99. #2681C22semidirect
100. #2681C22semidirect
101. #2681C22semidirect
102. #2681C22semidirect
103. #2680C22semidirect
104. #2680C22semidirect
105. #2680C22semidirect
106. #2677C22semidirect
107. #2674C22semidirect
108. #2674C22semidirect
109. #2674C22semidirect
110. #2672C22semidirect
111. #2672C22semidirect
112. #2664C22semidirect
113. #2663C22semidirect
115. #2640C22semidirect
116. #2638C22semidirect
117. #2637C22semidirect
118. #2633C22semidirect
119. #2632C22semidirect
120. #2629C22semidirect
121. #2628C22semidirect
122. #2624C22semidirect
123. #2624C22semidirect
124. #2623C22semidirect
125. #2621C22semidirect
126. #2620C22semidirect
127. #2618C22semidirect
128. #2616C22semidirect
129. #2611C22semidirect
130. #2604C22semidirect
131. #2599C22semidirect
133. #2580C22semidirect
134. #2580C22semidirect
135. #2566C22semidirect
136. #2566C22semidirect
137. #2563C22semidirect
139. #2552C22semidirect
140. #2552C22semidirect
141. #2552C22semidirect
142. #2552C22semidirect
143. #2552C22semidirect
144. #2552C22semidirect
145. #2551C22semidirect
146. #2551C22semidirect
147. #2550C22semidirect
148. #2550C22semidirect
149. #2550C22semidirect
150. #2550C22semidirect
151. #2550C22semidirect
152. #2550C22semidirect
153. #2550C22semidirect
154. #2550C22semidirect
155. #2545C22semidirect
156. #2542C22semidirect
157. #2542C22semidirect
158. #2538C22semidirect
159. #2538C22semidirect
160. #2536C22semidirect
161. #2504C22semidirect
163. #2501C22semidirect
164. #2501C22semidirect
165. #2500C22semidirect
166. #2500C22semidirect
183. #2487C22semidirect
184. #2486C22semidirect
185. #2486C22semidirect
186. #2485C22semidirect
187. #2485C22semidirect
188. #2454C22semidirect
189. #2454C22semidirect
190. #2454C22semidirect
191. #2454C22semidirect
192. #2452C22semidirect
193. #2452C22semidirect
194. #2452C22semidirect
195. #2452C22semidirect
196. #2448C22semidirect
197. #2448C22semidirect
198. #2448C22semidirect
199. #2448C22semidirect
200. #2445C22semidirect
201. #2445C22semidirect
202. #2445C22semidirect
203. #2445C22semidirect
204. #2442C22semidirect
205. #2442C22semidirect
206. #2442C22semidirect
207. #2441C22semidirect
208. #2441C22semidirect
209. #2441C22semidirect
210. #2440C22semidirect
211. #2440C22semidirect
212. #2440C22semidirect
213. #2439C22semidirect
214. #2439C22semidirect
215. #2439C22semidirect
227. #2432C22semidirect
228. #2423C22semidirect
229. #2423C22semidirect
230. #2423C22semidirect
231. #2422C22semidirect
232. #2422C22semidirect
233. #2422C22semidirect
234. #2421C22semidirect
235. #2421C22semidirect
236. #2421C22semidirect
237. #2420C22semidirect
238. #2420C22semidirect
239. #2420C22semidirect
250. #2415C22semidirect
251. #2413C22semidirect
252. #2406C22semidirect
253. #2396C22semidirect
254. #2396C22semidirect
255. #2395C22semidirect
256. #2395C22semidirect
259. #2357C22semidirect
260. #2356C22semidirect
261. #2355C22semidirect
262. #2354C22semidirect
263. #2347C22semidirect
264. #2346C22semidirect
265. #2345C22semidirect
266. #2344C22semidirect
267. #2326C22semidirect
268. #2323C22semidirect
269. #2322C22semidirect
277. #2311C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×#123C22semidirect
283. C4×#123C22semidirect

Maximal subgroups

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

subgroupindex
C2×#35042
C2×#34942
#429652
#429142
#428752
#428042
#426512
#424392
#424372
#424232
#414122
#405922
#398912
#398772
#398662
#398592
#394702
#391392
#391342
#389072
#384222
#380782
#356402
#355842
#355312
#355292
#355162
#355152
#352542
#352532
#351672
C2×#24902
#347422
#347392
#342522