Finite Group Databasebeta

← #7670678

Subgroups — #7670678

Order 512.

7189 conjugacy classes of subgroups.

The subgroup lattice has 1874 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3515C211yesmaximal, characteristic, complemented
2C23×#125C211yesmaximal, characteristic, complemented
3#59161C214yesmaximal, complemented
4#59161C214yesmaximal, complemented
5#59155C212yesmaximal, complemented
6#59154C212yesmaximal, complemented
7#59140C212yesmaximal, complemented
8#59139C212yesmaximal, complemented
9#39134C211yesmaximal, characteristic, complemented
10#39122C211yesmaximal, characteristic, complemented
11#38919C211yesmaximal, characteristic, complemented
12#38907C211yesmaximal, characteristic, complemented
13#38045C212yesmaximal, complemented
14#38029C212yesmaximal, complemented
15#37719C214yesmaximal, complemented
16#37717C214yesmaximal, complemented
17#36621C211yesmaximal, characteristic, complemented
18#36581C211yesmaximal, characteristic, complemented
19#36546C211yesmaximal, characteristic, complemented
20#36163C211yesmaximal, characteristic, complemented
21#36163C212yesmaximal, complemented
22#36131C212yesmaximal, complemented
23#36112C212yesmaximal, complemented
24#36112C212yesmaximal, complemented
25D4×#125C212yesmaximal, complemented
26#36103C211yesmaximal, characteristic, complemented
27#36103C212yesmaximal, complemented
28#35468C212yesmaximal, complemented
29#35453C212yesmaximal, complemented
30#35139C211yesmaximal, characteristic, complemented
31#35138C211yesmaximal, characteristic, complemented
32#34989C212yesmaximal, complemented
33#34239C211yesmaximal, characteristic, complemented
34#34200C212yesmaximal, complemented
35C4×#525C211yesmaximal, characteristic, complemented
36#3515—216no—
37C2×#557C2211yescharacteristic, complemented
38C2×#554C2211yescharacteristic
39C2×#554C2211yescharacteristic, complemented
40C2×#553C2211yescharacteristic
41C2×#553C2211yescharacteristic, complemented
42C2×#552C2211yescharacteristic
43C2×#552C2212yes—
44C2×#552C2211yescharacteristic, complemented
45C2×#552C2212yescomplemented
46C2×#552C2212yescomplemented
47C2×#547C2212yes—
48C2×#547C2211yescharacteristic
49C2×#541C2212yescomplemented
50C2×#539C2212yes—
51C2×#539C2212yescomplemented
52C2×#533C2211yescharacteristic, complemented
53C2×#529C2211yescharacteristic
54C2×#529C2211yescharacteristic, complemented
55C2×#529C2211yescharacteristic, complemented
56C22×#125—216no—
57C22×#125C2212yes—
58C22×#125C2212yes—
59C22×#125C2211yescharacteristic
60C22×#125C2212yes—
61C22×#125C2212yes—
62C22×#125C2214yes—
63C22×#125C2211yescharacteristic
64C22×#125C2214yes—
65C22×#125C2212yes—
66C22×#125C2212yes—
67C22×#125C2211yescharacteristic
68C22×#125C2211yescharacteristic
69C22×#125C2211yescharacteristic, complemented
70C2×#525C2212yes—
71C2×#525C2211yescharacteristic
72C2×#520C2212yes—
73C2×C4×#41C2211yescharacteristic
74C23×C4⋊C4C2211yescharacteristic
75C23×C4⋊C4C2212yes—
76C23×C4⋊C4C2212yes—
77C23×C4⋊C4C2211yescharacteristic
78C23×C42C2211yescharacteristic
79#2861C2212yescomplemented
80#2859C2212yescomplemented
81#2855C2211yescharacteristic
82#2854C2211yescharacteristic
83#2853C2212yes—
84#2852C2214yes—
85#2851C2212yes—
86#2851C2212yescomplemented
87#2851C2212yescomplemented
88#2850C2212yes—
89#2849C2212yes—
90#2849C2212yes—
91#2849C2212yes—
92#2848C2211yescharacteristic
93#2848C2212yes—
94#2847C2211yescharacteristic
95#2847C2212yes—
96#2726C2214yescomplemented
97#2725C2214yescomplemented
98#2721C2214yescomplemented
99#2721C2214yescomplemented
100#2720C2214yescomplemented
101#2719C2214yescomplemented
102#2719C2214yescomplemented
103#2719C2214yescomplemented
104#2713C2214yescomplemented
105#2711C2214yescomplemented
106#2707C2214yescomplemented
107#2704C2214yescomplemented
108#2694C2214yescomplemented
109#2694C2214yescomplemented
110#2690C2214yescomplemented
111#2690C2214yescomplemented
112#2664C2214yescomplemented
113#2634C2212yescomplemented
114#2633C2212yescomplemented
115#2627C2212yes—
116#2623C2212yes—
117#2623C2212yes—
118#2618C2212yes—
119#2611C2212yescomplemented
120#2611C2212yescomplemented
121#2611C2214yescomplemented
122#2591C2212yes—
123#2584C2212yescomplemented
124#2583C2212yes—
125#2579C2212yes—
126#2579C2212yes—
127#2566C2212yescomplemented
128#2565C2212yescomplemented
129#2562C2212yescomplemented
130#2558C2214yescomplemented
131#2558C2214yescomplemented
132#2558C2214yescomplemented
133#2556C2214yescomplemented
134#2556C2214yescomplemented
135#2556C2214yescomplemented
136#2552C2212yescomplemented
137#2552C2212yescomplemented
138#2550C2212yescomplemented
139#2550C2212yescomplemented
140#2519C2214yescomplemented
141#2519C2214yescomplemented
142#2519C2214yescomplemented
143#2506C2214yescomplemented
144#2506C2214yescomplemented
145#2506C2214yescomplemented
146#2504C2211yescharacteristic
147#2503C2211yescharacteristic
148#2503C2212yes—
149#2502C2211yescharacteristic
150#2501C2211yescharacteristic
151#2501C2212yes—
152#2490C2212yescomplemented
153#2490C2212yescomplemented
154#2489C2212yescomplemented
155#2489C2212yescomplemented
156#2487C2211yescharacteristic
157#2487C2211yescharacteristic
158#2486C2211yescharacteristic
159#2486C2212yes—
160#2486C2211yescharacteristic
161#2486C2212yes—
162#2484C2212yes—
163#2484C2212yes—
164#2484C2212yes—
165#2481C2214yes—
166#2481C2214yes—
167#2481C2214yes—
168#2481C2214yes—
169#2481C2214yes—
170#2481C2214yes—
171#2475C2214yescomplemented
172#2475C2214yescomplemented
173#2475C2214yescomplemented
174#2473C2214yes—
175#2473C2214yes—
176#2473C2214yes—
177#2473C2214yes—
178#2473C2214yes—
179#2473C2214yes—
180#2473C2214yescomplemented
181#2473C2214yescomplemented
182#2473C2214yescomplemented
183#2462C2214yescomplemented
184#2462C2214yescomplemented
185#2462C2214yescomplemented
186#2460C2214yescomplemented
187#2460C2214yescomplemented
188#2460C2214yescomplemented
189#2454C2212yescomplemented
190#2454C2212yescomplemented
191#2453C2212yescomplemented
192#2453C2212yescomplemented
193#2449C2214yes—
194#2449C2214yes—
195#2449C2214yes—
196#2449C2214yes—
197#2449C2214yes—
198#2449C2214yes—
199#2443C2214yes—
200#2443C2214yes—
201#2443C2214yes—
202#2443C2214yes—
203#2443C2214yes—
204#2443C2214yes—
205#2442C2214yes—
206#2442C2212yes—
207#2442C2212yes—
208#2442C2212yescomplemented
209#2442C2212yescomplemented
210#2441C2212yescomplemented
211#2441C2212yescomplemented
212#2440C2212yes—
213#2440C2214yes—
214#2440C2212yes—
215#2417C2212yes—
216#2417C2212yes—
217#2417C2214yes—
218#2416C2212yes—
219#2416C2214yes—
220#2416C2212yes—
221#2413C2212yes—
222#2413C2212yes—
223#2413C2212yes—
224#2413C2212yes—
225#2413C2212yes—
226#2413C2212yes—
227#2406C2212yes—
228#2406C2212yes—
229#2406C2212yes—
230#2371C2214yescomplemented
231#2370C2212yescomplemented
232#2370C2212yescomplemented
233#2361C2214yes—
234#2361C2212yes—
235#2361C2214yes—
236#2361C2212yes—
237#2361C2214yes—
238#2360C2212yes—
239#2360C2212yes—
240#2360C2214yes—
241#2360C2214yes—
242#2360C2214yes—
243#2352C2212yes—
244#2352C2214yes—
245#2352C2212yes—
246#2352C2214yes—
247#2352C2214yes—
248D4×C4⋊C4C2212yes—
249D4×C4⋊C4C2212yes—
250D4×C4⋊C4C2214yes—
251D4×C4⋊C4C2214yes—
252D4×C4⋊C4C2214yes—
253#2345C2211yescharacteristic
254#2345C2211yescharacteristic
255#2344C2211yescharacteristic
256#2344C2212yes—
257#2344C2212yes—
258#2344C2211yescharacteristic
259#2336C2214yescomplemented
260#2322C2212yes—
261#2322C2212yes—
262#2322C2212yes—
263#2322C2212yes—
264#2322C2212yes—
265#2322C2212yes—
266#2317C2212yes—
267#2313C2212yes—
268#2311C2212yes—
269C4×#125C2212yescomplemented
270C4×#125C2212yescomplemented
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2212yes—
274C4×#123C2211yescharacteristic
275C4×#123C2212yes—
276C4×#123C2211yescharacteristic
277C4×#123C2211yescharacteristic
278C4×#123C2211yescharacteristic
279C4×#121C2212yes—
280C4×#121C2212yes—
281C4×#121C2212yes—
282C4×#120C2212yes—
283C4×#120C2211yescharacteristic
284C4×#120C2212yes—
285C4×#120C2212yes—
286C4×#120C2211yescharacteristic
287C4×#120C2211yescharacteristic
288C4×#120C2211yescharacteristic
289#2297C2211yescharacteristic
290#2296C2211yescharacteristic
291#2290C2214yes—
292#2290C2212yes—
293#2290C2212yes—
294#2283C2211yescharacteristic
295#2280C2212yes—
296#2280C2211yescharacteristic
297#2274C2212yes—
298C42×D4C2212yes—
299C42×D4C2212yes—
300C4×#117C2211yescharacteristic
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C24×C4C2311yescharacteristic
304C24×C4C2311yescharacteristic
305C24×C4C2312yes—
306C24×C4C2312yes—
307C24×C4C2311yescharacteristic
308#557—28no—
309#554—28no—
310#554—28no—
311#553—28no—
312#553—28no—
313#552—216no—
314#552—28no—
315#552—216no—
316#552—216no—
317#552—28no—
318#547—28no—
319#547—216no—
320#541—216no—
321#539—216no—
322#539—216no—
323#533—28no—
324C2×C4⋊Q8C2311yescharacteristic
325C2×C4⋊Q8C2311yescharacteristic
326C2×C4⋊Q8C2312yes—
327#529—28no—
328#529—28no—
329#529—28no—
330C2×#126C2312yes—
331C2×#126C2312yes—
332C2×#126C2312yes—
333C2×#126C2312yes—
334C2×#126C2312yes—
335C2×#126C2312yes—
336C2×#126C2312yes—
337C2×#125—216no—
338C2×#125—216no—
339C2×#125—232no—
340C2×#125—232no—
341C2×#125—216no—
342C2×#125—216no—
343C2×#125—28no—
344C2×#125—216no—
345C2×#125—28no—
346C2×#125—216no—
347C2×#125—28no—
348C2×#125—28no—
349C2×#125D4116yescomplemented
350C2×#125C2312yes—
351C2×#125C2311yescharacteristic
352C2×#125C2312yes—
353C2×#125C2312yes—
354C2×#125C2312yes—
355C2×#125C2314yes—
356C2×#125C2314yes—
357C2×#125C2312yes—
358C2×#125C2312yes—
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#125C2314yes—
362C2×#125C2314yes—
363C2×#125C2314yes—
364C2×#125C2314yes—
365C2×#125C2314yes—
366C2×#125C2314yes—
367C2×#125C2314yes—
368C2×#125C2314yes—
369C2×#125C2312yes—
370C2×#125C2311yescharacteristic
371C2×#125C2311yescharacteristic
372C2×#125C2312yes—
373C2×#125C2312yes—
374C2×#125C2312yes—
375C2×#125C2312yes—
376C2×#125C2312yes—
377C2×#125C2312yes—
378C2×#125C2311yescharacteristic
379C2×#125C2311yescharacteristic
380C2×#125C2312yes—
381C2×#125C2311yescharacteristic
382C2×#125C2311yescharacteristic
383C2×#125C2312yes—
384C2×#124C2311yescharacteristic
385#525—216no—
386#525—28no—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2311yescharacteristic
393C2×#123C2311yescharacteristic
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×#123C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2314yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2311yescharacteristic
421C2×#121C2314yes—
422C2×#121C2312yes—
423C2×#121C2311yescharacteristic
424C2×#121C2311yescharacteristic
425C2×#121C2312yes—
426C2×#121C2314yes—
427C2×#120C2312yes—
428C2×#120C2311yescharacteristic
429C2×#120C2311yescharacteristic
430#520—216no—
431C4×#41—28no—
432C2×C4×Q8C2311yescharacteristic
433C2×C4×Q8C2311yescharacteristic
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2311yescharacteristic
437C2×C4×Q8C2311yescharacteristic
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2311yescharacteristic
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2314yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2314yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2314yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2314yes—
464C2×C4×D4C2314yes—
465C2×C4×D4C2312yes—
466C2×#117C2312yes—
467C2×#117C2312yes—
468C2×#117C2311yescharacteristic
469C2×#117C2312yes—
470C2×#117C2312yes—
471C2×#117C2312yes—
472C2×#117C2311yescharacteristic
473C2×#117C2311yescharacteristic
474C2×#117C2311yescharacteristic
475C2×#117C2311yescharacteristic
476C2×#117C2312yes—
477C2×#117C2311yescharacteristic
478C2×#117C2312yes—
479C2×#117C2311yescharacteristic
480C22×C4⋊C4—216no—
481C22×C4⋊C4—28no—
482C22×C4⋊C4—216no—
483C22×C4⋊C4—28no—
484C22×C4⋊C4C2312yes—
485C22×C4⋊C4C2312yes—
486C22×C4⋊C4C2312yes—
487C22×C4⋊C4C2312yes—
488C22×C4⋊C4C2312yes—
489C22×C4⋊C4C2312yes—
490C22×C4⋊C4C2311yescharacteristic
491C22×C4⋊C4C2312yes—
492C22×C4⋊C4C2311yescharacteristic
493C22×C4⋊C4C2314yes—
494C22×C4⋊C4C2314yes—
495C22×C4⋊C4C2312yes—
496C22×C4⋊C4C2312yes—
497C22×C4⋊C4C2314yes—
498C22×C4⋊C4C2312yes—
499C22×C4⋊C4C2314yes—
500C22×C4⋊C4C2312yes—
501C22×C4⋊C4C2314yes—
502C22×C4⋊C4C2314yes—
503C22×C4⋊C4C2312yes—
504C22×C4⋊C4C2312yes—
505C22×C4⋊C4C2312yes—
506C22×C4⋊C4C2314yes—
507C22×C4⋊C4C2314yes—
508C22×C4⋊C4C2314yes—
509C22×C4⋊C4C2314yes—
510C22×C4⋊C4C2311yescharacteristic
511C22×C4⋊C4C2312yes—
512C22×C4⋊C4C2311yescharacteristic
513C22×C4⋊C4C2312yes—
514C22×C4⋊C4C2311yescharacteristic
515C22×C4⋊C4C2312yes—
516C22×C4⋊C4C2311yescharacteristic
517C22×C42—28no—
518C22×C42C2312yes—
519C22×C42C2311yescharacteristic
520C22×C42C2311yescharacteristic
521C22×C42C2312yes—
522C22×C42C2311yescharacteristic
523C22×C42C2311yescharacteristic
524C22×C42C2312yes—
525C22×C42C2312yes—
526C22×C42C2311yescharacteristic
527C22×C42C2311yescharacteristic
528#400C2314yes—
529#400C2314yes—
530#400C2312yes—
531#400C2312yes—
532#400C2314yes—
533#400C2314yes—
534#400C2314yes—
535#400C2314yes—
536#400C2314yes—
537#400C2314yes—
538#400C2314yes—
539#400C2314yes—
540#399C2312yes—
541#399C2312yes—
542#399C2314yes—
543#399C2314yes—
544#399C2314yes—
545#399C2314yes—
546#399C2314yes—
547#398C2314yes—
548#398C2314yes—
549#398C2314yes—
550#398C2314yes—
551#398C2314yes—
552#398C2314yes—
553#398C2312yes—
554#398C2312yes—
555#398C2314yes—
556#398C2314yes—
557#398C2314yes—
558#398C2314yes—
559#398C2314yes—
560#398C2314yes—
561#398C2314yes—
562#398C2314yes—
563#398C2314yes—
564#398C2314yes—
565#398C2314yes—
566#398C2314yes—
567#398C2314yes—
568#398C2314yes—
569#397C2312yes—
570#397C2312yes—
571#397C2314yes—
572#397C2314yes—
573#397C2314yes—
574#397C2314yes—
575#397C2314yes—
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#396C2314yes—
584#396C2314yes—
585#396C2314yes—
586#395C2314yes—
587#395C2314yes—
588#395C2314yes—
589#395C2314yes—
590#395C2314yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#391C2312yes—
597#391C2312yes—
598#391C2314yes—
599#391C2312yes—
600#391C2314yes—
601#391C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2314yes—
605#390C2312yes—
606#390C2314yes—
607#390C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2314yes—
613#389C2314yes—
614#389C2314yes—
615#389C2314yes—
616#389C2314yes—
617#389C2314yes—
618#389C2314yes—
619#389C2314yes—
620#389C2314yes—
621#389C2314yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2314yes—
627#389C2314yes—
628#389C2312yes—
629#389C2312yes—
630#389C2314yes—
631#389C2314yes—
632#389C2314yes—
633#389C2314yes—
634#389C2314yes—
635#389C2314yes—
636#389C2314yes—
637#389C2314yes—
638#389C2312yes—
639#389C2312yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2312yes—
693#387C2312yes—
694#387C2312yes—
695#387C2312yes—
696#386C2311yescharacteristic
697#386C2312yes—
698#386C2312yes—
699#386C2312yes—
700#386C2312yes—
701#386C2312yes—
702#386C2311yescharacteristic
703#386C2312yes—
704#386C2311yescharacteristic
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2312yes—
716#386C2314yes—
717#386C2314yes—
718#386C2311yescharacteristic
719#386C2312yes—
720#386C2312yes—
721#386C2312yes—
722#385C2314yes—
723#385C2314yes—
724#385C2311yescharacteristic
725#385C2312yes—
726#385C2312yes—
727#385C2312yes—
728#385C2312yes—
729#385C2312yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2311yescharacteristic
735#385C2312yes—
736#385C2314yes—
737#385C2314yes—
738#385C2311yescharacteristic
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2312yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2311yescharacteristic
759#385C2312yes—
760#385C2312yes—
761#385C2312yes—
762#384C2312yes—
763#384C2312yes—
764#384C2314yes—
765#384C2314yes—
766#383C2312yes—
767#382C2312yes—
768#382C2312yes—
769#382C2312yes—
770#382C2314yes—
771#382C2314yes—
772#381C2312yes—
773#381C2312yes—
774#381C2312yes—
775#381C2312yes—
776#381C2312yes—
777#381C2312yes—
778#381C2312yes—
779#381C2312yes—
780#381C2311yescharacteristic
781#381C2311yescharacteristic
782#380C2312yes—
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2314yes—
787#380C2314yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2311yescharacteristic
792#380C2314yes—
793#380C2312yes—
794#380C2311yescharacteristic
795#380C2314yes—
796#380C2314yes—
797#380C2314yes—
798#380C2314yes—
799#380C2314yes—
800#380C2312yes—
801#380C2312yes—
802#379C2312yes—
803#379C2311yescharacteristic
804#379C2311yescharacteristic
805C4×C4⋊C4C2314yes—
806C4×C4⋊C4C2314yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2314yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2314yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2314yes—
817C4×C4⋊C4C2314yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2314yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C22⋊C4C2311yescharacteristic
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2311yescharacteristic
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2311yescharacteristic
831C4×C22⋊C4C2311yescharacteristic
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2312yes—
849C4×C22⋊C4C2312yes—
850#376C2312yes—
851#376C2312yes—
852C43C2312yes—
853C25C2411yescharacteristic
854C2×#41—28no—
855C2×#41—24no—
856C2×#41—24no—
857C2×#41—28no—
858C2×#41—44no—
859C2×#41—42no—
860C22×Q8C2411yescharacteristic
861C22×Q8C2411yescharacteristic
862C22×Q8C2412yes—
863C22×Q8C2412yes—
864C22×D4C2412yes—
865C22×D4C2414yes—
866C22×D4C2411yescharacteristic
867C22×D4C2411yescharacteristic
868C22×D4C2412yes—
869C22×D4C2411yescharacteristic
870C22×D4C2412yes—
871C22×D4C2412yes—
872C22×D4C2411yescharacteristic
873C22×D4C2412yes—
874C23×C4—24no—
875C23×C4—28no—
876C23×C4—24no—
877C23×C4—28no—
878C23×C4—28no—
879C23×C4—28no—
880C23×C4—24no—
881C23×C4—24no—
882C23×C4—42no—
883C23×C4—44no—
884C23×C4—44no—
885C23×C4—48no—
886C23×C4C2412yes—
887C23×C4C2411yescharacteristic
888C23×C4C2411yescharacteristic
889C23×C4C2412yes—
890C23×C4C2411yescharacteristic
891C23×C4C2411yescharacteristic
892C23×C4C2414yes—
893C23×C4C2414yes—
894C23×C4C2414yes—
895C23×C4C2414yes—
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2412yes—
899C23×C4C2412yes—
900C23×C4C2412yes—
901C23×C4C2411yescharacteristic
902C23×C4C2412yes—
903C23×C4C2411yescharacteristic
904C23×C4C2412yes—
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2411yescharacteristic
910C23×C4C2412yes—
911C23×C4C2411yescharacteristic
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2411yescharacteristic
915C23×C4C2412yes—
916C23×C4C2411yescharacteristic
917C4⋊Q8—24no—
918C4⋊Q8—24no—
919C4⋊Q8—28no—
920#126—28no—
921#126—28no—
922#126—28no—
923#126—28no—
924#126—28no—
925#126—28no—
926#126—28no—
927#125—216no—
928#125—216no—
929#125—28no—
930#125—216no—
931#125—28no—
932#125—28no—
933#125—28no—
934#125—216no—
935#125—216no—
936#125—216no—
937#125—216no—
938#125—216no—
939#125—216no—
940#125—216no—
941#125—28no—
942#125—28no—
943#125—24no—
944#125—24no—
945#125—28no—
946#125—28no—
947#125—28no—
948#125—28no—
949#125—28no—
950#125—28no—
951#125—28no—
952#125—28no—
953#125—28no—
954#125—24no—
955#125C2×D418yes—
956#125C2×D418yes—
957#125C2×D4116yes—
958#125C2×D4116yes—
959#125C2×D418yes—
960#125C2×D418yes—
961#124—24no—
962#123—28no—
963#123—24no—
964#123—28no—
965#123—28no—
966#123—28no—
967#123—28no—
968#123—28no—
969#123—28no—
970#123—28no—
971#123—28no—
972#123—28no—
973#123—28no—
974#123—24no—
975#123—44no—
976#123—44no—
977#123—44no—
978C22⋊Q8—24no—
979C22⋊Q8—28no—
980C22⋊Q8—28no—
981C22⋊Q8—24no—
982C22⋊Q8—24no—
983C22⋊Q8—28no—
984C22⋊Q8—28no—
985C22⋊Q8—28no—
986C22⋊Q8—28no—
987C22⋊Q8—28no—
988C22⋊Q8—28no—
989C22⋊Q8—28no—
990C22⋊Q8—216no—
991C22⋊Q8—28no—
992C22⋊Q8—48no—
993#121—216no—
994#121—28no—
995#121—24no—
996#121—28no—
997#121—28no—
998#121—24no—
999#121—24no—
1000#121—28no—
1001#121—48no—
1002#120—28no—
1003#120—24no—
1004#120#4118yes—
1005C4×Q8—28no—
1006C4×Q8—28no—
1007C4×Q8—24no—
1008C4×Q8—24no—
1009C4×Q8—28no—
1010C4×Q8—24no—
1011C4×Q8—24no—
1012C4×Q8—24no—
1013C4×D4—216no—
1014C4×D4—28no—
1015C4×D4—24no—
1016C4×D4—24no—
1017C4×D4—24no—
1018C4×D4—24no—
1019C4×D4—28no—
1020C4×D4—28no—
1021C4×D4—28no—
1022C4×D4—28no—
1023C4×D4—28no—
1024C4×D4—28no—
1025C4×D4—28no—
1026C4×D4—28no—
1027C4×D4—24no—
1028C4×D4—24no—
1029C4×D4—216no—
1030C4×D4—28no—
1031C4×D4—24no—
1032C4×D4—24no—
1033C4×D4—24no—
1034C4×D4—44no—
1035C4×D4—48no—
1036C4×D4—48no—
1037C4×D4—48no—
1038C4×D4—44no—
1039#117—24no—
1040#117—28no—
1041#117—28no—
1042#117—28no—
1043#117—28no—
1044#117—24no—
1045#117—24no—
1046#117—28no—
1047#117—24no—
1048#117—24no—
1049#117—24no—
1050#117—28no—
1051#117—44no—
1052#117—42no—
1053C2×C4⋊C4—28no—
1054C2×C4⋊C4—28no—
1055C2×C4⋊C4—28no—
1056C2×C4⋊C4—28no—
1057C2×C4⋊C4—28no—
1058C2×C4⋊C4—28no—
1059C2×C4⋊C4—28no—
1060C2×C4⋊C4—24no—
1061C2×C4⋊C4—24no—
1062C2×C4⋊C4—28no—
1063C2×C4⋊C4—216no—
1064C2×C4⋊C4—216no—
1065C2×C4⋊C4—28no—
1066C2×C4⋊C4—216no—
1067C2×C4⋊C4—28no—
1068C2×C4⋊C4—28no—
1069C2×C4⋊C4—28no—
1070C2×C4⋊C4—216no—
1071C2×C4⋊C4—216no—
1072C2×C4⋊C4—216no—
1073C2×C4⋊C4—216no—
1074C2×C4⋊C4—216no—
1075C2×C4⋊C4—216no—
1076C2×C4⋊C4—216no—
1077C2×C4⋊C4—28no—
1078C2×C4⋊C4—28no—
1079C2×C4⋊C4—24no—
1080C2×C4⋊C4—28no—
1081C2×C4⋊C4—24no—
1082C2×C4⋊C4C2×D4116yes—
1083C2×C4⋊C4C2×D418yes—
1084C2×C4⋊C4C2×D4116yes—
1085C2×C4⋊C4C2×D418yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2411yescharacteristic
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2411yescharacteristic
1160C2×C4⋊C4C2411yescharacteristic
1161C2×C4⋊C4C2411yescharacteristic
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2412yes—
1168C2×C4⋊C4C2412yes—
1169C2×C22⋊C4C2411yescharacteristic
1170C2×C22⋊C4C2411yescharacteristic
1171C2×C22⋊C4C2411yescharacteristic
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2411yescharacteristic
1178C2×C22⋊C4C2411yescharacteristic
1179C2×C22⋊C4C2411yescharacteristic
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2411yescharacteristic
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2411yescharacteristic
1219C2×C22⋊C4C2412yes—
1220C2×C42—24no—
1221C2×C42—24no—
1222C2×C42—24no—
1223C2×C42—24no—
1224C2×C42—24no—
1225C2×C42—28no—
1226C2×C42—28no—
1227C2×C42—28no—
1228C2×C42—28no—
1229C2×C42C2×D418yes—
1230C2×C42C2411yescharacteristic
1231C2×C42C2411yescharacteristic
1232C2×C42C2412yes—
1233C2×C42C2412yes—
1234C2×C42C2412yes—
1235C2×C42C2412yes—
1236C2×C42C2411yescharacteristic
1237C2×C42C2412yes—
1238C2×C42C2412yes—
1239C2×C42C2414yes—
1240C2×C42C2411yescharacteristic
1241C2×C42C2411yescharacteristic
1242C2×C42C2411yescharacteristic
1243C2×C42C2412yes—
1244C2×C42C2412yes—
1245C2×C42C2412yes—
1246C2×C42C2412yes—
1247C2×C42C2412yes—
1248C2×C42C2412yes—
1249C2×C42C2412yes—
1250C2×C42C2412yes—
1251C2×C42C2412yes—
1252C2×C42C2414yes—
1253C2×C42C2412yes—
1254C2×C42C2412yes—
1255C2×C42C2414yes—
1256C2×C42C2414yes—
1257C2×C42C2414yes—
1258C2×C42C2411yescharacteristic
1259C2×C42C2411yescharacteristic
1260C2×C42C2411yescharacteristic
1261C2×C42C2411yescharacteristic
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2414yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313C24—22no—
1314C24—24no—
1315C24—24no—
1316C24—22no—
1317C24C2×#4114yes—
1318C24C2511yescharacteristic
1319C24C2512yes—
1320C24C2511yescharacteristic
1321C24C2511yescharacteristic
1322C24C2512yes—
1323#41—416no—
1324#41—432no—
1325C2×Q8—22no—
1326C2×Q8—22no—
1327C2×Q8—24no—
1328C2×Q8—24no—
1329C2×Q8—24no—
1330C2×Q8—22no—
1331C2×Q8—24no—
1332C2×Q8—42no—
1333C2×Q8—41no—
1334C2×Q8—44no—
1335C2×D4—22no—
1336C2×D4—24no—
1337C2×D4—24no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—24no—
1341C2×D4—24no—
1342C2×D4—28no—
1343C2×D4—24no—
1344C2×D4—22no—
1345C2×D4—24no—
1346C2×D4—22no—
1347C2×D4—24no—
1348C2×D4—28no—
1349C2×D4—28no—
1350C2×D4—24no—
1351C2×D4—22no—
1352C2×D4—24no—
1353C2×D4—22no—
1354C2×D4—22no—
1355C2×D4—24no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—42no—
1359C2×D4—41no—
1360C2×D4—44no—
1361C2×D4C2×#4118yes—
1362C2×D4C2×#4114yes—
1363C22×C4—232no—
1364C22×C4—22no—
1365C22×C4—24no—
1366C22×C4—22no—
1367C22×C4—24no—
1368C22×C4—22no—
1369C22×C4—24no—
1370C22×C4—24no—
1371C22×C4—24no—
1372C22×C4—24no—
1373C22×C4—24no—
1374C22×C4—24no—
1375C22×C4—24no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—24no—
1379C22×C4—24no—
1380C22×C4—28no—
1381C22×C4—24no—
1382C22×C4—24no—
1383C22×C4—22no—
1384C22×C4—28no—
1385C22×C4—24no—
1386C22×C4—24no—
1387C22×C4—22no—
1388C22×C4—24no—
1389C22×C4—24no—
1390C22×C4—28no—
1391C22×C4—28no—
1392C22×C4—24no—
1393C22×C4—22no—
1394C22×C4—24no—
1395C22×C4—24no—
1396C22×C4—24no—
1397C22×C4—24no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—28no—
1403C22×C4—28no—
1404C22×C4—28no—
1405C22×C4—28no—
1406C22×C4—24no—
1407C22×C4—24no—
1408C22×C4—24no—
1409C22×C4—22no—
1410C22×C4—24no—
1411C22×C4—24no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—24no—
1415C22×C4—24no—
1416C22×C4—24no—
1417C22×C4—42no—
1418C22×C4—42no—
1419C22×C4—42no—
1420C22×C4—42no—
1421C22×C4—44no—
1422C22×C4—44no—
1423C22×C4—44no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—42no—
1427C22×C4—44no—
1428C22×C4—42no—
1429C22×C4—41no—
1430C22×C4—41no—
1431C22×C4—42no—
1432C22×C4—42no—
1433C22×C4—42no—
1434C22×C4—44no—
1435C22×C4—42no—
1436C22×C4—44no—
1437C22×C4—44no—
1438C22×C4—432no—
1439C22×C4—416no—
1440C22×C4—432no—
1441C22×C4—416no—
1442C22×C4C22×D414yes—
1443C22×C4C22×D414yes—
1444C22×C4C22×D418yes—
1445C22×C4C22×D414yes—
1446C22×C4C22×D418yes—
1447C22×C42−1+418yes—
1448C22×C4C2512yes—
1449C22×C4C2514yes—
1450C22×C4C2512yes—
1451C22×C4C2512yes—
1452C22×C4C2514yes—
1453C22×C4C2511yescharacteristic
1454C22×C4C2512yes—
1455C22×C4C2511yescharacteristic
1456C22×C4C2511yescharacteristic
1457C22×C4C2512yes—
1458C22×C4C2512yes—
1459C22×C4C2511yescharacteristic
1460C22×C4C2511yescharacteristic
1461C22×C4C2512yes—
1462C22×C4C2512yes—
1463C22×C4C2514yes—
1464C22×C4C2514yes—
1465C22×C4C2511yescharacteristic
1466C22×C4C2511yescharacteristic
1467C22×C4C2511yescharacteristic
1468C22×C4C2511yescharacteristic
1469C22×C4C2512yes—
1470C22×C4C2511yescharacteristic
1471C22×C4C2512yes—
1472C22×C4C2512yes—
1473C22×C4C2512yes—
1474C22×C4C2512yes—
1475C22×C4C2511yescharacteristic
1476C22×C4C2512yes—
1477C22×C4C2511yescharacteristic
1478C4⋊C4—28no—
1479C4⋊C4—28no—
1480C4⋊C4—28no—
1481C4⋊C4—28no—
1482C4⋊C4—28no—
1483C4⋊C4—28no—
1484C4⋊C4—28no—
1485C4⋊C4—28no—
1486C4⋊C4—28no—
1487C4⋊C4—28no—
1488C4⋊C4—28no—
1489C4⋊C4—28no—
1490C4⋊C4—28no—
1491C4⋊C4—28no—
1492C4⋊C4—28no—
1493C4⋊C4—24no—
1494C4⋊C4—24no—
1495C4⋊C4—28no—
1496C4⋊C4—24no—
1497C4⋊C4—24no—
1498C4⋊C4—22no—
1499C4⋊C4—24no—
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—24no—
1503C4⋊C4—24no—
1504C4⋊C4—24no—
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—24no—
1509C4⋊C4—24no—
1510C4⋊C4—24no—
1511C4⋊C4—22no—
1512C4⋊C4—22no—
1513C4⋊C4—22no—
1514C4⋊C4—22no—
1515C4⋊C4—22no—
1516C4⋊C4—24no—
1517C4⋊C4—24no—
1518C4⋊C4—24no—
1519C4⋊C4—24no—
1520C4⋊C4—24no—
1521C4⋊C4—24no—
1522C4⋊C4—28no—
1523C4⋊C4—24no—
1524C4⋊C4—24no—
1525C4⋊C4—28no—
1526C4⋊C4—24no—
1527C4⋊C4—28no—
1528C4⋊C4—24no—
1529C4⋊C4—24no—
1530C4⋊C4—24no—
1531C4⋊C4—24no—
1532C4⋊C4—28no—
1533C4⋊C4—44no—
1534C4⋊C4—42no—
1535C4⋊C4—42no—
1536C4⋊C4—44no—
1537C4⋊C4—44no—
1538C4⋊C4—44no—
1539C4⋊C4—42no—
1540C4⋊C4—44no—
1541C4⋊C4—44no—
1542C4⋊C4—44no—
1543C4⋊C4—44no—
1544C4⋊C4—44no—
1545C4⋊C4—44no—
1546C4⋊C4—44no—
1547C4⋊C4C22×D418yes—
1548C4⋊C4C22×D418yes—
1549C4⋊C4C22×D414yes—
1550C4⋊C4C22×D418yes—
1551C4⋊C4C22×D414yes—
1552C4⋊C4C22×D414yes—
1553C4⋊C4C22×D414yes—
1554C4⋊C4C22×D418yes—
1555C4⋊C4C22×D418yes—
1556C4⋊C4C22×D418yes—
1557C4⋊C4C22×D418yes—
1558C4⋊C4C22×D418yes—
1559C4⋊C4C22×D418yes—
1560C4⋊C4C22×D418yes—
1561C22⋊C4—22no—
1562C22⋊C4—24no—
1563C22⋊C4—22no—
1564C22⋊C4—24no—
1565C22⋊C4—22no—
1566C22⋊C4—28no—
1567C22⋊C4—24no—
1568C22⋊C4—24no—
1569C22⋊C4—28no—
1570C22⋊C4—24no—
1571C22⋊C4—24no—
1572C22⋊C4—28no—
1573C22⋊C4—22no—
1574C22⋊C4—24no—
1575C22⋊C4—22no—
1576C22⋊C4—24no—
1577C22⋊C4—28no—
1578C22⋊C4—24no—
1579C22⋊C4—22no—
1580C22⋊C4—24no—
1581C22⋊C4—24no—
1582C22⋊C4—24no—
1583C22⋊C4—22no—
1584C22⋊C4—22no—
1585C22⋊C4—22no—
1586C22⋊C4—24no—
1587C22⋊C4—24no—
1588C22⋊C4—24no—
1589C22⋊C4—24no—
1590C22⋊C4—24no—
1591C22⋊C4—24no—
1592C22⋊C4—24no—
1593C22⋊C4—24no—
1594C22⋊C4—24no—
1595C22⋊C4—24no—
1596C22⋊C4—28no—
1597C22⋊C4—24no—
1598C22⋊C4—24no—
1599C22⋊C4—28no—
1600C22⋊C4—42no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—42no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4C2×#4114yes—
1611C22⋊C4C2×#4118yes—
1612C42—24no—
1613C42—24no—
1614C42—24no—
1615C42—24no—
1616C42—24no—
1617C42—24no—
1618C42—22no—
1619C42—22no—
1620C42—22no—
1621C42—22no—
1622C42—22no—
1623C42—22no—
1624C42—24no—
1625C42—24no—
1626C42—24no—
1627C42—24no—
1628C42—24no—
1629C42—24no—
1630C42—28no—
1631C42—24no—
1632C42—24no—
1633C42—42no—
1634C42—44no—
1635C42—42no—
1636C42—44no—
1637C42—44no—
1638C42—42no—
1639C42—44no—
1640C42C22×D414yes—
1641C42C22×D414yes—
1642C42C22×D414yes—
1643C42C22×D414yes—
1644C23—28no—
1645C23—28no—
1646C23—216no—
1647C23—22no—
1648C23—22no—
1649C23—22no—
1650C23—22no—
1651C23—22no—
1652C23—22no—
1653C23—28no—
1654C23—216no—
1655C23—21no—
1656C23—22no—
1657C23—22no—
1658C23—21no—
1659C23—21no—
1660C23—22no—
1661C23—21no—
1662C23—22no—
1663C23—22no—
1664C23—24no—
1665C23—21no—
1666C23—22no—
1667C23—24no—
1668C23—22no—
1669C23C23×D412yes—
1670C23C22×#4112yes—
1671C23C22×#4112yes—
1672C23C22×#4114yes—
1673C23C2×2−1+414yes—
1674C23#58512yes—
1675C23#58514yes—
1676C23C2611yescharacteristic
1677Q8—48no—
1678Q8—44no—
1679Q8—44no—
1680Q8—84no—
1681D4—28no—
1682D4—216no—
1683D4—48no—
1684D4—44no—
1685D4—44no—
1686D4—48no—
1687D4—48no—
1688D4—416no—
1689D4—44no—
1690D4—84no—
1691C2×C4—216no—
1692C2×C4—28no—
1693C2×C4—22no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—24no—
1708C2×C4—24no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—28no—
1713C2×C4—216no—
1714C2×C4—28no—
1715C2×C4—216no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—24no—
1727C2×C4—24no—
1728C2×C4—22no—
1729C2×C4—24no—
1730C2×C4—22no—
1731C2×C4—24no—
1732C2×C4—21no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—24no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—24no—
1741C2×C4—24no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—24no—
1745C2×C4—24no—
1746C2×C4—22no—
1747C2×C4—24no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—24no—
1752C2×C4—22no—
1753C2×C4—24no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—24no—
1758C2×C4—24no—
1759C2×C4—22no—
1760C2×C4—21no—
1761C2×C4—44no—
1762C2×C4—48no—
1763C2×C4—44no—
1764C2×C4—48no—
1765C2×C4—48no—
1766C2×C4—48no—
1767C2×C4—416no—
1768C2×C4—416no—
1769C2×C4—48no—
1770C2×C4—416no—
1771C2×C4—48no—
1772C2×C4—416no—
1773C2×C4—44no—
1774C2×C4—48no—
1775C2×C4—44no—
1776C2×C4—48no—
1777C2×C4—44no—
1778C2×C4—48no—
1779C2×C4—44no—
1780C2×C4—44no—
1781C2×C4—82no—
1782C2×C4—84no—
1783C2×C4—82no—
1784C2×C4—84no—
1785C2×C4—84no—
1786C2×C4C23×D412yes—
1787C2×C4C23×D412yes—
1788C2×C4C23×D412yes—
1789C2×C4C23×D412yes—
1790C2×C4C23×D412yes—
1791C2×C4C23×D414yes—
1792C2×C4C23×D414yes—
1793C2×C4C23×D414yes—
1794C2×C4C23×D414yes—
1795C2×C4C23×D412yes—
1796C2×C4C22×#4114yes—
1797C2×C4C22×#4112yes—
1798C2×C4C2×2−1+414yes—
1799C2×C4C2×2−1+414yes—
1800C22—232no—
1801C22—24no—
1802C22—24no—
1803C22—22no—
1804C22—24no—
1805C22—22no—
1806C22—24no—
1807C22—24no—
1808C22—24no—
1809C22—24no—
1810C22—24no—
1811C22—24no—
1812C22—22no—
1813C22—41no—
1814C22—41no—
1815C22—42no—
1816C22—42no—
1817C22—44no—
1818C22—41no—
1819C22—42no—
1820C22—42no—
1821C22—41no—
1822C22—42no—
1823C22—44no—
1824C22—41no—
1825C22—42no—
1826C22D4×#4114yes—
1827C22#351518yescomplemented
1828C22C24×D411yescharacteristic
1829C22C23×#4111yescharacteristic
1830C22C22×2−1+412yes—
1831C22C2×#58512yes—
1832C22C2×#58511yescharacteristic
1833C4—24no—
1834C4—22no—
1835C4—24no—
1836C4—22no—
1837C4—22no—
1838C4—24no—
1839C4—24no—
1840C4—22no—
1841C4—24no—
1842C4—24no—
1843C4—22no—
1844C4—22no—
1845C4—42no—
1846C4—44no—
1847C4—41no—
1848C4—41no—
1849C4—42no—
1850C4—42no—
1851C4—44no—
1852C4—41no—
1853C4—42no—
1854C4—41no—
1855C4—42no—
1856C4—42no—
1857C4—44no—
1858C4—42no—
1859C4—44no—
1860C4—41no—
1861C4—42no—
1862C4#348614yes—
1863C2—24no—
1864C2—28no—
1865C2—42no—
1866C2—81no—
1867C2—82no—
1868C2C2×D4×#4111yescharacteristic
1869C2C2×#351512yes—
1870C2C2×#348611yescharacteristic
1871C2#6281111yescharacteristic
1872C2#6282512yes—
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×#3515C2semidirect
2. C23×#125C2semidirect
3. #59161C2semidirect
4. #59161C2semidirect
5. #59155C2semidirect
6. #59154C2semidirect
7. #59140C2semidirect
8. #59139C2semidirect
9. #39134C2semidirect
10. #39122C2semidirect
11. #38919C2semidirect
12. #38907C2semidirect
13. #38045C2semidirect
14. #38029C2semidirect
15. #37719C2semidirect
16. #37717C2semidirect
17. #36621C2semidirect
18. #36581C2semidirect
19. #36546C2semidirect
20. #36163C2semidirect
21. #36163C2semidirect
22. #36131C2semidirect
23. #36112C2semidirect
24. #36112C2semidirect
25. D4×#125C2semidirect
26. #36103C2semidirect
27. #36103C2semidirect
28. #35468C2semidirect
29. #35453C2semidirect
30. #35139C2semidirect
31. #35138C2semidirect
32. #34989C2semidirect
33. #34239C2semidirect
34. #34200C2semidirect
35. C4×#525C2semidirect
37. C2×#557C22semidirect
39. C2×#554C22semidirect
41. C2×#553C22semidirect
44. C2×#552C22semidirect
45. C2×#552C22semidirect
46. C2×#552C22semidirect
49. C2×#541C22semidirect
51. C2×#539C22semidirect
52. C2×#533C22semidirect
54. C2×#529C22semidirect
55. C2×#529C22semidirect
69. C22×#125C22semidirect
79. #2861C22semidirect
80. #2859C22semidirect
86. #2851C22semidirect
87. #2851C22semidirect
96. #2726C22semidirect
97. #2725C22semidirect
98. #2721C22semidirect
99. #2721C22semidirect
100. #2720C22semidirect
101. #2719C22semidirect
102. #2719C22semidirect
103. #2719C22semidirect
104. #2713C22semidirect
105. #2711C22semidirect
106. #2707C22semidirect
107. #2704C22semidirect
108. #2694C22semidirect
109. #2694C22semidirect
110. #2690C22semidirect
111. #2690C22semidirect
112. #2664C22semidirect
113. #2634C22semidirect
114. #2633C22semidirect
119. #2611C22semidirect
120. #2611C22semidirect
121. #2611C22semidirect
123. #2584C22semidirect
127. #2566C22semidirect
128. #2565C22semidirect
129. #2562C22semidirect
130. #2558C22semidirect
131. #2558C22semidirect
132. #2558C22semidirect
133. #2556C22semidirect
134. #2556C22semidirect
135. #2556C22semidirect
136. #2552C22semidirect
137. #2552C22semidirect
138. #2550C22semidirect
139. #2550C22semidirect
140. #2519C22semidirect
141. #2519C22semidirect
142. #2519C22semidirect
143. #2506C22semidirect
144. #2506C22semidirect
145. #2506C22semidirect
152. #2490C22semidirect
153. #2490C22semidirect
154. #2489C22semidirect
155. #2489C22semidirect
171. #2475C22semidirect
172. #2475C22semidirect
173. #2475C22semidirect
180. #2473C22semidirect
181. #2473C22semidirect
182. #2473C22semidirect
183. #2462C22semidirect
184. #2462C22semidirect
185. #2462C22semidirect
186. #2460C22semidirect
187. #2460C22semidirect
188. #2460C22semidirect
189. #2454C22semidirect
190. #2454C22semidirect
191. #2453C22semidirect
192. #2453C22semidirect
208. #2442C22semidirect
209. #2442C22semidirect
210. #2441C22semidirect
211. #2441C22semidirect
230. #2371C22semidirect
231. #2370C22semidirect
232. #2370C22semidirect
259. #2336C22semidirect
269. C4×#125C22semidirect
270. C4×#125C22semidirect
349. C2×#125D4semidirect
1827. C22#3515semidirect

Maximal subgroups

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

subgroupindex
C2×#35152
C23×#1252
#591612
#591552
#591542
#591402
#591392
#391342
#391222
#389192
#389072
#380452
#380292
#377192
#377172
#366212
#365812
#365462
#361632
#361312
#361122
D4×#1252
#361032
#354682
#354532
#351392
#351382
#349892
#342392
#342002
C4×#5252