Finite Group Databasebeta

← #7693772

Subgroups — #7693772

Order 512.

7065 conjugacy classes of subgroups.

The subgroup lattice has 1860 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3503C211yesmaximal, characteristic, complemented
2C2×#3501C211yesmaximal, characteristic, complemented
3#59833C212yesmaximal, complemented
4#59809C214yesmaximal, complemented
5#59809C212yesmaximal, complemented
6#59655C211yesmaximal, characteristic, complemented
7#59136C211yesmaximal, characteristic, complemented
8#59096C212yesmaximal, complemented
9#59081C211yesmaximal, characteristic, complemented
10#59016C212yesmaximal, complemented
11#45274C212yesmaximal, complemented
12#44939C212yesmaximal, complemented
13#44449C214yesmaximal, complemented
14#43003C214yesmaximal, complemented
15#39597C211yesmaximal, characteristic, complemented
16#39596C211yesmaximal, characteristic, complemented
17#39594C212yesmaximal, complemented
18#39592C212yesmaximal, complemented
19#39366C212yesmaximal, complemented
20#39364C214yesmaximal, complemented
21#36561C212yesmaximal, complemented
22Q8×#124C211yesmaximal, characteristic, complemented
23#36276C211yesmaximal, characteristic, complemented
24#36276C212yesmaximal, complemented
25#36274C211yesmaximal, characteristic, complemented
26#36154C211yesmaximal, characteristic, complemented
27#36130C212yesmaximal, complemented
28#36129C211yesmaximal, characteristic, complemented
29#36031C212yesmaximal, complemented
30#35702C212yesmaximal, complemented
31#34929C211yesmaximal, characteristic, complemented
32C2×#2492C212yesmaximal, complemented
33#34309C212yesmaximal
34C4×#554C211yesmaximal, characteristic, complemented
35C4×#546C211yesmaximal, characteristic
36#3503—216no—
37#3501—216no—
38C2×Q82C2211yescharacteristic, complemented
39C2×Q82C2211yescharacteristic, complemented
40C2×#557C2212yescomplemented
41C2×#554C2211yescharacteristic
42C2×#554C2212yes—
43C2×#554C2214yes—
44C2×#554C2212yes—
45C2×#554C2212yes—
46C2×#554C2211yescharacteristic
47C2×#554C2211yescharacteristic
48C2×#554C2212yescomplemented
49C2×#554C2212yescomplemented
50C2×D4×Q8C2212yes—
51C2×D4×Q8C2211yescharacteristic
52C2×D4×Q8C2211yescharacteristic
53C2×D4×Q8C2212yes—
54C2×D4×Q8C2214yescomplemented
55C2×#546C2211yescharacteristic
56C2×#544C2212yes—
57C2×#544C2212yescomplemented
58C2×#544C2214yescomplemented
59C2×#543C2214yes—
60C2×#533C2211yescharacteristic
61C2×#533C2211yescharacteristic
62C2×#533C2212yescomplemented
63C2×#533C2211yescharacteristic, complemented
64C22×C4⋊Q8C2211yescharacteristic, complemented
65C22×C4⋊Q8C2212yescomplemented
66C22×C22⋊Q8C2212yes—
67C22×C22⋊Q8C2212yes—
68C2×#520C2212yes—
69C2×#518C2212yes—
70C2×C4×#41C2211yescharacteristic
71C22×C4×D4C2211yescharacteristic
72#2862C2211yescharacteristic, complemented
73#2862C2212yescomplemented
74#2857C2211yescharacteristic
75#2857C2211yescharacteristic, complemented
76#2857C2212yescomplemented
77#2857C2214yescomplemented
78#2855C2212yescomplemented
79#2848C2212yes—
80#2729C2214yes—
81#2729C2214yescomplemented
82#2729C2214yescomplemented
83#2720C2214yes—
84#2720C2214yescomplemented
85#2720C2214yescomplemented
86#2713C2214yescomplemented
87#2713C2214yescomplemented
88#2713C2214yescomplemented
89#2713C2214yescomplemented
90#2713C2214yescomplemented
91#2704C2214yes—
92#2704C2214yescomplemented
93#2692C2214yes—
94#2692C2214yes—
95#2692C2214yescomplemented
96#2692C2214yescomplemented
97#2692C2214yescomplemented
98#2677C2214yes—
99#2677C2214yescomplemented
100#2677C2214yescomplemented
101#2628C2212yes—
102#2628C2212yescomplemented
103#2627C2214yescomplemented
104#2626C2214yes—
105#2582C2211yescharacteristic, complemented
106#2581C2212yescomplemented
107#2580C2212yes—
108#2568C2211yescharacteristic, complemented
109#2568C2212yescomplemented
110#2567C2211yescharacteristic, complemented
111#2567C2212yescomplemented
112#2564C2214yes—
113#2564C2214yescomplemented
114#2563C2211yescharacteristic
115#2563C2212yes—
116#2556C2214yes—
117#2556C2212yes—
118#2556C2212yescomplemented
119#2556C2214yescomplemented
120#2556C2214yescomplemented
121#2556C2214yescomplemented
122#2551C2211yescharacteristic, complemented
123#2551C2212yescomplemented
124#2550C2212yescomplemented
125#2550C2212yescomplemented
126#2550C2212yescomplemented
127#2550C2212yescomplemented
128#2550C2212yescomplemented
129#2550C2212yescomplemented
130#2549C2214yescomplemented
131#2549C2214yescomplemented
132#2549C2214yescomplemented
133#2549C2214yescomplemented
134#2549C2214yescomplemented
135#2549C2214yescomplemented
136#2546C2211yescharacteristic, complemented
137#2546C2212yescomplemented
138#2546C2211yescharacteristic, complemented
139#2542C2211yescharacteristic
140#2542C2212yescomplemented
141#2538C2211yescharacteristic
142#2538C2211yescharacteristic
143#2506C2212yescomplemented
144#2506C2214yescomplemented
145#2502C2212yescomplemented
146#2502C2214yescomplemented
147#2492C2212yes—
148#2492C2211yescharacteristic
149#2492C2212yes—
150#2492C2212yes—
151#2492C2214yes—
152#2492C2214yes—
153#2492C2212yescomplemented
154#2492C2212yescomplemented
155#2492C2211yescharacteristic, complemented
156#2492C2214yescomplemented
157#2492C2214yescomplemented
158#2492C2214yescomplemented
159#2492C2214yescomplemented
160#2492C2214yescomplemented
161#2492C2212yescomplemented
162#2492C2212yescomplemented
163#2492C2212yescomplemented
164#2487C2212yes—
165#2487C2214yescomplemented
166#2473C2214yescomplemented
167#2473C2214yescomplemented
168#2465C2214yes—
169#2465C2214yescomplemented
170#2454C2212yes—
171#2453C2212yescomplemented
172#2453C2212yescomplemented
173#2452C2212yes—
174#2452C2212yes—
175#2452C2212yes—
176#2452C2214yescomplemented
177#2451C2212yescomplemented
178#2451C2212yescomplemented
179#2451C2214yescomplemented
180#2451C2212yescomplemented
181#2450C2214yes—
182#2450C2214yes—
183#2450C2214yes—
184#2450C2214yescomplemented
185#2450C2214yescomplemented
186#2450C2214yescomplemented
187#2446C2212yescomplemented
188#2446C2214yescomplemented
189#2446C2212yescomplemented
190#2442C2212yes—
191#2442C2212yescomplemented
192#2442C2212yescomplemented
193#2440C2212yescomplemented
194#2440C2212yescomplemented
195#2439C2212yes—
196#2439C2212yes—
197#2439C2212yescomplemented
198#2438C2214yescomplemented
199#2438C2214yescomplemented
200#2438C2214yescomplemented
201#2437C2214yes—
202#2437C2214yes—
203#2437C2214yes—
204#2434C2212yescomplemented
205#2434C2214yescomplemented
206#2434C2212yescomplemented
207#2429C2212yes—
208#2429C2211yescharacteristic
209#2429C2212yes—
210#2429C2214yescomplemented
211#2429C2212yescomplemented
212#2429C2211yescharacteristic, complemented
213#2423C2212yes—
214#2417C2212yes—
215#2417C2212yes—
216#2417C2212yescomplemented
217#2417C2214yescomplemented
218#2417C2212yescomplemented
219#2409C2212yes—
220#2409C2214yes—
221#2409C2214yescomplemented
222#2409C2212yescomplemented
223#2409C2212yescomplemented
224#2396C2212yes—
225#2396C2212yescomplemented
226C2×#400C2214yescomplemented
227C2×#393C2214yes—
228#2370C2212yescomplemented
229#2369C2211yescharacteristic, complemented
230#2368C2214yescomplemented
231#2367C2212yes—
232#2367C2211yescharacteristic
233#2365C2212yescomplemented
234#2364C2214yes—
235#2364C2212yes—
236#2363C2211yescharacteristic
237#2362C2212yes—
238#2361C2212yes—
239#2360C2211yescharacteristic
240#2360C2212yescomplemented
241#2360C2212yescomplemented
242#2360C2214yescomplemented
243#2360C2212yescomplemented
244#2359C2214yes—
245#2359C2212yes—
246#2358C2214yes—
247#2358C2212yes—
248#2355C2211yescharacteristic, complemented
249#2352C2212yes—
250#2352C2211yescharacteristic
251#2349C2212yes—
252#2349C2212yes—
253#2349C2211yescharacteristic
254#2349C2212yes—
255#2349C2212yes—
256#2349C2212yes—
257D4×C4⋊C4C2211yescharacteristic
258D4×C4⋊C4C2212yescomplemented
259#2345C2212yescomplemented
260#2342C2214yes—
261#2342C2212yes—
262Q8×C22⋊C4C2212yescomplemented
263Q8×C22⋊C4C2212yescomplemented
264Q8×C22⋊C4C2212yescomplemented
265#2339C2212yes—
266#2339C2211yescharacteristic
267D4×C22⋊C4C2212yes—
268D4×C22⋊C4C2211yescharacteristic
269#2324C2212yes—
270#2323C2212yes—
271#2322C2214yes—
272#2321C2214yes—
273C4×C4⋊Q8C2211yescharacteristic, complemented
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×C4⋊Q8C2212yescomplemented
276C4×#125C2212yescomplemented
277C4×#124C2212yes—
278C4×#124C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic, complemented
282C4×C22⋊Q8C2212yescomplemented
283C4×C22⋊Q8C2214yescomplemented
284C4×#123C2212yes—
285C4×#121C2211yescharacteristic
286C4×#121C2214yes—
287C4×#121C2212yes—
288C4×#120C2212yes—
289C2×#391C2214yescomplemented
290C2×#391C2212yescomplemented
291C2×#391C2212yescomplemented
292#2293C2212yes—
293C2×#388C2214yes—
294C2×#380C2212yes—
295C42×Q8C2211yescharacteristic, complemented
296C42×D4C2212yes—
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C2×C4×C4⋊C4C2212yescomplemented
300C2×C4×C22⋊C4C2212yes—
301C22×#41C2311yescharacteristic
302C23×Q8C2312yes—
303C23×Q8C2312yes—
304C23×Q8C2312yes—
305C23×Q8C2314yes—
306C23×D4C2311yescharacteristic
307C24×C4C2312yes—
308Q82—28no—
309Q82—28no—
310#557—216no—
311#554—28no—
312#554—216no—
313#554—232no—
314#554—216no—
315#554—216no—
316#554—28no—
317#554—216no—
318#554—216no—
319#554D4116yescomplemented
320D4×Q8—216no—
321D4×Q8—232no—
322D4×Q8—28no—
323D4×Q8—28no—
324D4×Q8—216no—
325#546Q8116yescomplemented
326#544—216no—
327#544—216no—
328#544—232no—
329#543—232no—
330#533—28no—
331#533—216no—
332#533—28no—
333#533—28no—
334C2×C4⋊Q8—28no—
335C2×C4⋊Q8—216no—
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2314yes—
343C2×C4⋊Q8C2314yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2311yescharacteristic
349C2×C4⋊Q8C2311yescharacteristic
350C2×C4⋊Q8C2311yescharacteristic
351C2×C4⋊Q8C2314yes—
352C2×C4⋊Q8C2314yes—
353C2×C4⋊Q8C2312yes—
354C2×C4⋊Q8C2314yes—
355C2×C4⋊Q8C2312yes—
356C2×C4⋊Q8C2312yes—
357C2×C4⋊Q8C2311yescharacteristic
358C2×C4⋊Q8C2312yes—
359C2×C4⋊Q8C2314yes—
360C2×C4⋊Q8C2311yescharacteristic
361C2×#125C2312yes—
362C2×#125C2312yes—
363C2×#125C2314yes—
364C2×#125C2312yes—
365C2×#125C2312yes—
366C2×#125C2314yes—
367C2×#125C2312yes—
368C2×#125C2314yes—
369C2×#125C2314yes—
370C2×#125C2312yes—
371C2×#124C2311yescharacteristic
372C2×#123C2312yes—
373C2×C22⋊Q8—216no—
374C2×C22⋊Q8—216no—
375C2×C22⋊Q8C2314yes—
376C2×C22⋊Q8C2314yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2311yescharacteristic
381C2×C22⋊Q8C2314yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2311yescharacteristic
384C2×C22⋊Q8C2311yescharacteristic
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2311yescharacteristic
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2311yescharacteristic
414C2×#121C2311yescharacteristic
415C2×#121C2312yes—
416C2×#120C2312yes—
417#520—216no—
418#518—216no—
419C4×#41—28no—
420C2×C4×Q8C2312yes—
421C2×C4×Q8C2311yescharacteristic
422C2×C4×Q8C2312yes—
423C2×C4×Q8C2311yescharacteristic
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2311yescharacteristic
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2314yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2311yescharacteristic
434C2×C4×Q8C2311yescharacteristic
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2311yescharacteristic
437C2×C4×D4—28no—
438C2×C4×D4C2312yes—
439C2×C4×D4C2311yescharacteristic
440C2×C4×D4C2314yes—
441C2×C4×D4C2314yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2311yescharacteristic
445C2×C4×D4C2312yes—
446C2×C4×D4C2311yescharacteristic
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2314yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2314yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2314yes—
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2311yescharacteristic
464C2×#117C2312yes—
465C2×#117C2312yes—
466C2×#117C2312yes—
467C2×#117C2314yes—
468C2×#117C2312yes—
469C2×#117C2311yescharacteristic
470C22×C4⋊C4C2314yes—
471C22×C4⋊C4C2312yes—
472C22×C4⋊C4C2312yes—
473C22×C4⋊C4C2311yescharacteristic
474C22×C4⋊C4C2312yes—
475C22×C4⋊C4C2314yes—
476C22×C4⋊C4C2314yes—
477C22×C4⋊C4C2312yes—
478C22×C4⋊C4C2312yes—
479C22×C4⋊C4C2312yes—
480C22×C22⋊C4C2314yes—
481C22×C22⋊C4C2312yes—
482C22×C22⋊C4C2314yes—
483C22×C22⋊C4C2312yes—
484C22×C22⋊C4C2314yes—
485C22×C22⋊C4C2312yes—
486C22×C42C2312yes—
487C22×C42C2311yescharacteristic
488C22×C42C2311yescharacteristic
489C22×C42C2312yes—
490C22×C42C2314yes—
491#400C2312yes—
492#400C2314yes—
493#400C2314yes—
494#400C2314yes—
495#400C2314yes—
496#400C2314yes—
497#400C2314yes—
498#400C2312yes—
499#400C2314yes—
500#400C2314yes—
501#400C2314yes—
502#400C2314yes—
503#400C2314yes—
504#399C2314yes—
505#399C2314yes—
506#399C2312yes—
507#399C2314yes—
508#399C2312yes—
509#399C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2312yes—
516#398C2312yes—
517#398C2312yes—
518#398C2312yes—
519#398C2314yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#398C2314yes—
524#398C2314yes—
525#398C2314yes—
526#398C2314yes—
527#398C2314yes—
528#398C2314yes—
529#398C2314yes—
530#396C2314yes—
531#396C2314yes—
532#396C2314yes—
533#396C2314yes—
534#396C2312yes—
535#396C2312yes—
536#396C2312yes—
537#396C2312yes—
538#396C2314yes—
539#396C2314yes—
540#396C2314yes—
541#395C2314yes—
542#395C2314yes—
543#395C2314yes—
544#395C2314yes—
545#395C2314yes—
546#395C2312yes—
547#395C2314yes—
548#395C2312yes—
549#395C2314yes—
550#395C2314yes—
551#395C2314yes—
552#395C2314yes—
553#395C2314yes—
554#395C2314yes—
555#395C2314yes—
556#393C2314yes—
557#393C2314yes—
558#393C2314yes—
559#393C2312yes—
560#393C2314yes—
561#393C2314yes—
562#393C2314yes—
563#393C2312yes—
564#393C2314yes—
565#393C2314yes—
566#393C2314yes—
567#393C2314yes—
568#393C2314yes—
569#391C2311yescharacteristic
570#391C2312yes—
571#391C2312yes—
572#391C2311yescharacteristic
573#391C2312yes—
574#391C2312yes—
575#391C2314yes—
576#391C2311yescharacteristic
577#391C2312yes—
578#391C2312yes—
579#391C2312yes—
580#391C2314yes—
581#391C2314yes—
582#391C2312yes—
583#391C2311yescharacteristic
584#391C2312yes—
585#391C2312yes—
586#391C2312yes—
587#391C2312yes—
588#391C2312yes—
589#391C2314yes—
590#391C2314yes—
591#391C2314yes—
592#391C2314yes—
593#391C2312yes—
594#391C2314yes—
595#391C2312yes—
596#391C2314yes—
597#391C2312yes—
598#391C2311yescharacteristic
599#391C2314yes—
600#391C2314yes—
601#391C2312yes—
602#391C2314yes—
603#391C2314yes—
604#391C2314yes—
605#391C2314yes—
606#391C2314yes—
607#391C2314yes—
608#391C2314yes—
609#391C2311yescharacteristic
610#391C2314yes—
611#390C2312yes—
612#390C2311yescharacteristic
613#390C2312yes—
614#390C2314yes—
615#390C2312yes—
616#390C2311yescharacteristic
617#390C2312yes—
618#390C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2311yescharacteristic
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2314yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2311yescharacteristic
642#389C2312yes—
643#389C2312yes—
644#389C2314yes—
645#389C2314yes—
646#389C2314yes—
647#389C2314yes—
648#389C2314yes—
649#389C2312yes—
650#389C2314yes—
651#389C2311yescharacteristic
652#389C2312yes—
653#389C2312yes—
654#389C2314yes—
655#389C2314yes—
656#389C2314yes—
657#389C2311yescharacteristic
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2312yes—
665#388C2314yes—
666#388C2312yes—
667#388C2312yes—
668#388C2312yes—
669#388C2312yes—
670#388C2312yes—
671#388C2312yes—
672#388C2314yes—
673#388C2312yes—
674#388C2314yes—
675#388C2312yes—
676#388C2314yes—
677#388C2312yes—
678#388C2314yes—
679#388C2312yes—
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#387C2314yes—
693#387C2314yes—
694#387C2312yes—
695#387C2314yes—
696#387C2312yes—
697#387C2312yes—
698#387C2314yes—
699#387C2312yes—
700#387C2312yes—
701#386C2312yes—
702#386C2314yes—
703#386C2312yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2312yes—
711#386C2312yes—
712#386C2312yes—
713#386C2312yes—
714#386C2312yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2312yes—
730#385C2312yes—
731#385C2314yes—
732#385C2314yes—
733#385C2312yes—
734#385C2312yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2312yes—
742#385C2312yes—
743#385C2312yes—
744#384C2311yescharacteristic
745#384C2311yescharacteristic
746#384C2312yes—
747#384C2312yes—
748#384C2314yes—
749#382C2312yes—
750#382C2312yes—
751#382C2312yes—
752#382C2312yes—
753#382C2311yescharacteristic
754#382C2312yes—
755#381C2314yes—
756#381C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2314yes—
760#380C2314yes—
761#380C2314yes—
762#380C2314yes—
763#380C2314yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2311yescharacteristic
769#380C2311yescharacteristic
770#380C2312yes—
771#380C2314yes—
772#380C2314yes—
773#380C2312yes—
774#380C2314yes—
775#380C2311yescharacteristic
776#380C2314yes—
777#380C2312yes—
778#380C2314yes—
779#380C2314yes—
780#380C2311yescharacteristic
781#379C2314yes—
782#379C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2314yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2314yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2314yes—
817C4×C22⋊C4C2314yes—
818C4×C22⋊C4C2314yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2311yescharacteristic
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2314yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2311yescharacteristic
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2311yescharacteristic
835C4×C22⋊C4C2312yes—
836C2×#95C2314yes—
837C2×#95C2312yes—
838C2×#95C2314yes—
839C2×#95C2312yes—
840C2×#95C2314yes—
841C2×#95C2314yes—
842C2×#95C2314yes—
843C2×#95C2314yes—
844C43C2312yes—
845C43C2311yescharacteristic
846C25C2412yes—
847C2×#41—24no—
848C2×#41—24no—
849C2×#41C2×Q818yescomplemented
850C22×Q8—28no—
851C22×Q8—28no—
852C22×Q8—28no—
853C22×Q8—216no—
854C22×Q8—44no—
855C22×Q8—44no—
856C22×Q8—48no—
857C22×Q8—44no—
858C22×Q8—44no—
859C22×Q8—44no—
860C22×Q8—84no—
861C22×Q8—82no—
862C22×Q8C2411yescharacteristic
863C22×Q8C2411yescharacteristic
864C22×Q8C2412yes—
865C22×Q8C2414yes—
866C22×Q8C2412yes—
867C22×Q8C2411yescharacteristic
868C22×Q8C2411yescharacteristic
869C22×Q8C2412yes—
870C22×Q8C2414yes—
871C22×Q8C2414yes—
872C22×Q8C2414yes—
873C22×Q8C2412yes—
874C22×Q8C2414yes—
875C22×Q8C2412yes—
876C22×D4—24no—
877C22×D4—24no—
878C22×D4C2×Q818yescomplemented
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2411yescharacteristic
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2411yescharacteristic
885C23×C4—28no—
886C23×C4—44no—
887C23×C4—44no—
888C23×C4C2411yescharacteristic
889C23×C4C2412yes—
890C23×C4C2411yescharacteristic
891C23×C4C2412yes—
892C23×C4C2411yescharacteristic
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2411yescharacteristic
896C23×C4C2411yescharacteristic
897C23×C4C2411yescharacteristic
898C23×C4C2414yes—
899C23×C4C2414yes—
900C23×C4C2414yes—
901C23×C4C2414yes—
902C23×C4C2414yes—
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2414yes—
906C23×C4C2412yes—
907C23×C4C2412yes—
908C23×C4C2414yes—
909C23×C4C2412yes—
910C4⋊Q8—28no—
911C4⋊Q8—24no—
912C4⋊Q8—24no—
913C4⋊Q8—216no—
914C4⋊Q8—28no—
915C4⋊Q8—24no—
916C4⋊Q8—216no—
917C4⋊Q8—216no—
918C4⋊Q8—28no—
919C4⋊Q8—28no—
920C4⋊Q8—28no—
921C4⋊Q8—24no—
922C4⋊Q8—216no—
923C4⋊Q8—28no—
924C4⋊Q8—216no—
925C4⋊Q8—28no—
926C4⋊Q8—24no—
927C4⋊Q8—24no—
928C4⋊Q8—28no—
929C4⋊Q8—28no—
930C4⋊Q8—44no—
931C4⋊Q8—42no—
932C4⋊Q8—44no—
933C4⋊Q8—84no—
934C4⋊Q8C2×D418yes—
935#125—28no—
936#125—216no—
937#125—28no—
938#125—28no—
939#125—28no—
940#125—216no—
941#125—216no—
942#125—28no—
943#125—216no—
944#125C2×D4116yes—
945#124C2×Q818yescomplemented
946#123C2×Q8116yescomplemented
947C22⋊Q8—24no—
948C22⋊Q8—28no—
949C22⋊Q8—24no—
950C22⋊Q8—216no—
951C22⋊Q8—28no—
952C22⋊Q8—28no—
953C22⋊Q8—216no—
954C22⋊Q8—216no—
955C22⋊Q8—28no—
956C22⋊Q8—24no—
957C22⋊Q8—216no—
958C22⋊Q8—216no—
959C22⋊Q8—28no—
960C22⋊Q8—28no—
961C22⋊Q8—216no—
962C22⋊Q8—28no—
963C22⋊Q8—28no—
964C22⋊Q8—24no—
965C22⋊Q8—216no—
966C22⋊Q8—216no—
967C22⋊Q8—216no—
968C22⋊Q8—216no—
969C22⋊Q8—216no—
970C22⋊Q8—216no—
971C22⋊Q8—216no—
972C22⋊Q8—216no—
973C22⋊Q8—216no—
974C22⋊Q8—216no—
975C22⋊Q8—216no—
976C22⋊Q8—48no—
977C22⋊Q8—44no—
978C22⋊Q8—44no—
979C22⋊Q8—42no—
980C22⋊Q8—42no—
981C22⋊Q8—82no—
982C22⋊Q8—84no—
983C22⋊Q8C2×D4116yes—
984C22⋊Q8C2×D4132yes—
985C22⋊Q8C2×Q818yescomplemented
986#121C2×Q818yescomplemented
987#121C2×Q8116yescomplemented
988#120C2×Q8116yescomplemented
989C4×Q8—28no—
990C4×Q8—28no—
991C4×Q8—24no—
992C4×Q8—28no—
993C4×Q8—28no—
994C4×Q8—216no—
995C4×Q8—28no—
996C4×Q8—24no—
997C4×Q8—28no—
998C4×Q8—24no—
999C4×Q8—28no—
1000C4×Q8—28no—
1001C4×Q8—24no—
1002C4×Q8—42no—
1003C4×Q8—42no—
1004C4×Q8—82no—
1005C4×Q8C2×D418yes—
1006C4×D4—24no—
1007C4×D4—24no—
1008C4×D4—28no—
1009C4×D4—28no—
1010C4×D4—28no—
1011C4×D4—24no—
1012C4×D4—28no—
1013C4×D4—28no—
1014C4×D4—216no—
1015C4×D4—216no—
1016C4×D4—24no—
1017C4×D4—28no—
1018C4×D4—28no—
1019C4×D4—28no—
1020C4×D4—216no—
1021C4×D4—216no—
1022C4×D4—24no—
1023C4×D4—28no—
1024C4×D4—44no—
1025C4×D4—42no—
1026C4×D4—42no—
1027C4×D4—84no—
1028C4×D4C2×D418yes—
1029C4×D4C2×D4116yes—
1030C4×D4C2×Q818yescomplemented
1031C4×D4C2×Q818yescomplemented
1032#117—24no—
1033#117—28no—
1034#117—28no—
1035#117—216no—
1036#117—28no—
1037#117—28no—
1038C2×C4⋊C4—216no—
1039C2×C4⋊C4—216no—
1040C2×C4⋊C4—28no—
1041C2×C4⋊C4—24no—
1042C2×C4⋊C4—28no—
1043C2×C4⋊C4—216no—
1044C2×C4⋊C4—28no—
1045C2×C4⋊C4—28no—
1046C2×C4⋊C4—44no—
1047C2×C4⋊C4C2×D4116yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2412yes—
1126C2×C22⋊C4—216no—
1127C2×C22⋊C4—28no—
1128C2×C22⋊C4—216no—
1129C2×C22⋊C4—44no—
1130C2×C22⋊C4—84no—
1131C2×C22⋊C4C2×Q8116yescomplemented
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2411yescharacteristic
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2411yescharacteristic
1158C2×C22⋊C4C2411yescharacteristic
1159C2×C22⋊C4C2411yescharacteristic
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2411yescharacteristic
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2412yes—
1177C2×C42—28no—
1178C2×C42—24no—
1179C2×C42—24no—
1180C2×C42—44no—
1181C2×C42—84no—
1182C2×C42C2412yes—
1183C2×C42C2411yescharacteristic
1184C2×C42C2412yes—
1185C2×C42C2414yes—
1186C2×C42C2414yes—
1187C2×C42C2412yes—
1188C2×C42C2414yes—
1189C2×C42C2411yescharacteristic
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2412yes—
1193C2×C42C2412yes—
1194C2×C42C2411yescharacteristic
1195C2×C42C2411yescharacteristic
1196C2×C42C2412yes—
1197C2×C42C2411yescharacteristic
1198C2×C42C2412yes—
1199C2×C42C2411yescharacteristic
1200C2×C42C2411yescharacteristic
1201C2×C42C2411yescharacteristic
1202C2×C42C2414yes—
1203C2×C42C2411yescharacteristic
1204C2×C42C2412yes—
1205C2×C42C2412yes—
1206C2×C42C2414yes—
1207C2×C42C2412yes—
1208C2×C42C2414yes—
1209C2×C42C2412yes—
1210C2×C42C2412yes—
1211C2×C42C2412yes—
1212C2×C42C2412yes—
1213C2×C42C2411yescharacteristic
1214C2×C42C2411yescharacteristic
1215#95C2411yescharacteristic
1216#95C2411yescharacteristic
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2414yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2411yescharacteristic
1248#95C2412yes—
1249#95C2411yescharacteristic
1250#95C2412yes—
1251#95C2412yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2412yes—
1256#95C2411yescharacteristic
1257#95C2411yescharacteristic
1258#95C2412yes—
1259#95C2414yes—
1260#95C2412yes—
1261#95C2414yes—
1262#95C2412yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2414yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279C24—24no—
1280C24—24no—
1281C24—42no—
1282C24—42no—
1283C24—42no—
1284C24—42no—
1285C24C22×Q818yes—
1286C24C2511yescharacteristic
1287C24C2512yes—
1288C24C2511yescharacteristic
1289C24C2512yes—
1290#41—232no—
1291C2×Q8—22no—
1292C2×Q8—22no—
1293C2×Q8—24no—
1294C2×Q8—22no—
1295C2×Q8—28no—
1296C2×Q8—24no—
1297C2×Q8—24no—
1298C2×Q8—28no—
1299C2×Q8—28no—
1300C2×Q8—28no—
1301C2×Q8—28no—
1302C2×Q8—24no—
1303C2×Q8—22no—
1304C2×Q8—22no—
1305C2×Q8—22no—
1306C2×Q8—22no—
1307C2×Q8—22no—
1308C2×Q8—28no—
1309C2×Q8—22no—
1310C2×Q8—24no—
1311C2×Q8—24no—
1312C2×Q8—24no—
1313C2×Q8—22no—
1314C2×Q8—42no—
1315C2×Q8—42no—
1316C2×Q8—42no—
1317C2×Q8—44no—
1318C2×Q8—44no—
1319C2×Q8—42no—
1320C2×Q8—42no—
1321C2×Q8—42no—
1322C2×Q8—44no—
1323C2×Q8—44no—
1324C2×Q8—44no—
1325C2×Q8—44no—
1326C2×Q8—42no—
1327C2×Q8—44no—
1328C2×Q8—44no—
1329C2×Q8—44no—
1330C2×Q8—816no—
1331C2×Q8—832no—
1332C2×Q8—816no—
1333C2×Q8—816no—
1334C2×Q8C22×D414yes—
1335C2×Q8C22×D418yes—
1336C2×Q8C22×Q814yes—
1337C2×D4—24no—
1338C2×D4—24no—
1339C2×D4—24no—
1340C2×D4—24no—
1341C2×D4—232no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—41no—
1345C2×D4—42no—
1346C2×D4—41no—
1347C2×D4—42no—
1348C2×D4C22×D414yes—
1349C2×D4C22×Q818yes—
1350C2×D4C22×Q818yes—
1351C2×D4C22×Q814yes—
1352C2×D4C22×Q814yes—
1353C2×D4C22×Q818yes—
1354C2×D4C22×Q814yes—
1355C2×D42−1+414yes—
1356C22×C4—24no—
1357C22×C4—24no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—24no—
1363C22×C4—24no—
1364C22×C4—24no—
1365C22×C4—28no—
1366C22×C4—24no—
1367C22×C4—28no—
1368C22×C4—28no—
1369C22×C4—24no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—24no—
1374C22×C4—24no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—24no—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—24no—
1382C22×C4—22no—
1383C22×C4—28no—
1384C22×C4—28no—
1385C22×C4—24no—
1386C22×C4—24no—
1387C22×C4—28no—
1388C22×C4—42no—
1389C22×C4—42no—
1390C22×C4—44no—
1391C22×C4—44no—
1392C22×C4—41no—
1393C22×C4—42no—
1394C22×C4—42no—
1395C22×C4—44no—
1396C22×C4—42no—
1397C22×C4—44no—
1398C22×C4—44no—
1399C22×C4—41no—
1400C22×C4—44no—
1401C22×C4—44no—
1402C22×C4—44no—
1403C22×C4—41no—
1404C22×C4—42no—
1405C22×C4—42no—
1406C22×C4—42no—
1407C22×C4—42no—
1408C22×C4—42no—
1409C22×C4—42no—
1410C22×C4—44no—
1411C22×C4—44no—
1412C22×C4—44no—
1413C22×C4—44no—
1414C22×C4—44no—
1415C22×C4—44no—
1416C22×C4—816no—
1417C22×C4C22×D418yes—
1418C22×C4C22×D4116yes—
1419C22×C4C22×Q818yes—
1420C22×C4C22×Q814yes—
1421C22×C4C22×Q814yes—
1422C22×C4C22×Q818yes—
1423C22×C4C2511yescharacteristic
1424C22×C4C2512yes—
1425C22×C4C2512yes—
1426C22×C4C2512yes—
1427C22×C4C2514yes—
1428C22×C4C2511yescharacteristic
1429C22×C4C2511yescharacteristic
1430C22×C4C2512yes—
1431C22×C4C2514yes—
1432C22×C4C2512yes—
1433C22×C4C2512yes—
1434C22×C4C2514yes—
1435C22×C4C2512yes—
1436C22×C4C2511yescharacteristic
1437C22×C4C2512yes—
1438C22×C4C2512yes—
1439C22×C4C2511yescharacteristic
1440C22×C4C2512yes—
1441C22×C4C2511yescharacteristic
1442C22×C4C2512yes—
1443C22×C4C2512yes—
1444C22×C4C2514yes—
1445C22×C4C2511yescharacteristic
1446C22×C4C2511yescharacteristic
1447C22×C4C2512yes—
1448C22×C4C2512yes—
1449C22×C4C2511yescharacteristic
1450C22×C4C2511yescharacteristic
1451C22×C4C2511yescharacteristic
1452C22×C4C2511yescharacteristic
1453C22×C4C2511yescharacteristic
1454C4⋊C4—28no—
1455C4⋊C4—24no—
1456C4⋊C4—24no—
1457C4⋊C4—28no—
1458C4⋊C4—24no—
1459C4⋊C4—22no—
1460C4⋊C4—22no—
1461C4⋊C4—24no—
1462C4⋊C4—24no—
1463C4⋊C4—22no—
1464C4⋊C4—28no—
1465C4⋊C4—28no—
1466C4⋊C4—24no—
1467C4⋊C4—28no—
1468C4⋊C4—28no—
1469C4⋊C4—28no—
1470C4⋊C4—28no—
1471C4⋊C4—28no—
1472C4⋊C4—28no—
1473C4⋊C4—24no—
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—24no—
1479C4⋊C4—22no—
1480C4⋊C4—24no—
1481C4⋊C4—28no—
1482C4⋊C4—24no—
1483C4⋊C4—24no—
1484C4⋊C4—24no—
1485C4⋊C4—24no—
1486C4⋊C4—28no—
1487C4⋊C4—24no—
1488C4⋊C4—28no—
1489C4⋊C4—24no—
1490C4⋊C4—28no—
1491C4⋊C4—22no—
1492C4⋊C4—24no—
1493C4⋊C4—22no—
1494C4⋊C4—24no—
1495C4⋊C4—22no—
1496C4⋊C4—22no—
1497C4⋊C4—24no—
1498C4⋊C4—44no—
1499C4⋊C4—41no—
1500C4⋊C4—42no—
1501C4⋊C4—44no—
1502C4⋊C4—42no—
1503C4⋊C4—42no—
1504C4⋊C4—44no—
1505C4⋊C4—42no—
1506C4⋊C4—44no—
1507C4⋊C4—42no—
1508C4⋊C4—42no—
1509C4⋊C4—44no—
1510C4⋊C4—44no—
1511C4⋊C4—44no—
1512C4⋊C4—42no—
1513C4⋊C4—44no—
1514C4⋊C4—44no—
1515C4⋊C4—42no—
1516C4⋊C4—44no—
1517C4⋊C4—42no—
1518C4⋊C4—44no—
1519C4⋊C4—42no—
1520C4⋊C4—42no—
1521C4⋊C4—42no—
1522C4⋊C4C22×D418yes—
1523C4⋊C4C22×D414yes—
1524C4⋊C4C22×D418yes—
1525C4⋊C4C22×D4116yes—
1526C4⋊C4C22×D414yes—
1527C4⋊C4C22×D4116yes—
1528C4⋊C4C22×D418yes—
1529C4⋊C4C22×Q814yes—
1530C4⋊C4C22×Q814yes—
1531C4⋊C4C22×Q818yes—
1532C22⋊C4—24no—
1533C22⋊C4—28no—
1534C22⋊C4—28no—
1535C22⋊C4—24no—
1536C22⋊C4—28no—
1537C22⋊C4—24no—
1538C22⋊C4—24no—
1539C22⋊C4—28no—
1540C22⋊C4—24no—
1541C22⋊C4—24no—
1542C22⋊C4—28no—
1543C22⋊C4—28no—
1544C22⋊C4—24no—
1545C22⋊C4—24no—
1546C22⋊C4—24no—
1547C22⋊C4—24no—
1548C22⋊C4—22no—
1549C22⋊C4—24no—
1550C22⋊C4—42no—
1551C22⋊C4—42no—
1552C22⋊C4—42no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—42no—
1557C22⋊C4—42no—
1558C22⋊C4—41no—
1559C22⋊C4—41no—
1560C22⋊C4—41no—
1561C22⋊C4—42no—
1562C22⋊C4—42no—
1563C22⋊C4—44no—
1564C22⋊C4—42no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—42no—
1568C22⋊C4C22×D4116yes—
1569C22⋊C4C22×D418yes—
1570C22⋊C4C22×Q814yes—
1571C22⋊C4C22×Q818yes—
1572C22⋊C4C22×Q818yes—
1573C22⋊C4C22×Q818yes—
1574C22⋊C4C22×Q818yes—
1575C22⋊C4C22×Q814yes—
1576C22⋊C4C22×Q818yes—
1577C42—22no—
1578C42—22no—
1579C42—24no—
1580C42—22no—
1581C42—22no—
1582C42—22no—
1583C42—24no—
1584C42—24no—
1585C42—22no—
1586C42—28no—
1587C42—24no—
1588C42—28no—
1589C42—28no—
1590C42—24no—
1591C42—24no—
1592C42—22no—
1593C42—22no—
1594C42—24no—
1595C42—22no—
1596C42—42no—
1597C42—42no—
1598C42—42no—
1599C42—44no—
1600C42—44no—
1601C42—44no—
1602C42—41no—
1603C42—42no—
1604C42—42no—
1605C42—41no—
1606C42—42no—
1607C42C22×D414yes—
1608C42C22×D418yes—
1609C42C22×Q814yes—
1610C23—22no—
1611C23—22no—
1612C23—22no—
1613C23—22no—
1614C23—21no—
1615C23—21no—
1616C23—22no—
1617C23—21no—
1618C23—21no—
1619C23—22no—
1620C23—22no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—22no—
1625C23—21no—
1626C23—21no—
1627C23—22no—
1628C23—21no—
1629C23—21no—
1630C23—22no—
1631C23—21no—
1632C23—216no—
1633C23—48no—
1634C23—48no—
1635C23—84no—
1636C23—84no—
1637C23—84no—
1638C23—84no—
1639C23C23×D414yes—
1640C23C23×Q812yes—
1641C23C23×Q814yes—
1642C23C23×Q812yes—
1643C23C23×Q814yes—
1644C23C2×2−1+414yes—
1645C23C2611yescharacteristic
1646Q8—28no—
1647Q8—28no—
1648Q8—48no—
1649Q8—48no—
1650Q8—416no—
1651Q8—44no—
1652Q8—44no—
1653Q8—48no—
1654Q8—84no—
1655Q8—88no—
1656Q8—88no—
1657Q8—84no—
1658Q8—88no—
1659Q8—88no—
1660D4—216no—
1661D4—216no—
1662D4—28no—
1663D4—48no—
1664D4—44no—
1665D4D4×Q8116yes—
1666C2×C4—21no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—22no—
1676C2×C4—21no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—24no—
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—24no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—216no—
1691C2×C4—28no—
1692C2×C4—28no—
1693C2×C4—216no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—24no—
1701C2×C4—22no—
1702C2×C4—24no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—24no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—24no—
1720C2×C4—21no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—22no—
1726C2×C4—21no—
1727C2×C4—22no—
1728C2×C4—24no—
1729C2×C4—22no—
1730C2×C4—24no—
1731C2×C4—22no—
1732C2×C4—21no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—24no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—24no—
1739C2×C4—21no—
1740C2×C4—22no—
1741C2×C4—24no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—21no—
1745C2×C4—416no—
1746C2×C4—48no—
1747C2×C4—44no—
1748C2×C4—48no—
1749C2×C4—44no—
1750C2×C4—44no—
1751C2×C4—48no—
1752C2×C4—88no—
1753C2×C4—82no—
1754C2×C4—84no—
1755C2×C4—84no—
1756C2×C4—88no—
1757C2×C4—88no—
1758C2×C4—84no—
1759C2×C4—88no—
1760C2×C4—84no—
1761C2×C4—88no—
1762C2×C4—88no—
1763C2×C4C23×D414yes—
1764C2×C4C23×D412yes—
1765C2×C4C23×D414yes—
1766C2×C4C23×D418yes—
1767C2×C4C23×D414yes—
1768C2×C4C23×D412yes—
1769C2×C4C23×D412yes—
1770C2×C4C23×Q812yes—
1771C2×C4C23×Q812yes—
1772C2×C4C23×Q814yes—
1773C2×C4C23×Q812yes—
1774C2×C4C23×Q814yes—
1775C2×C4C23×Q812yes—
1776C2×C4C23×Q812yes—
1777C2×C4C2×2−1+412yes—
1778C2×C4#58512yes—
1779C2×C4#58512yes—
1780C2×C4#58512yes—
1781C22—24no—
1782C22—24no—
1783C22—24no—
1784C22—24no—
1785C22—24no—
1786C22—24no—
1787C22—22no—
1788C22—24no—
1789C22—22no—
1790C22—22no—
1791C22—22no—
1792C22—24no—
1793C22—22no—
1794C22—22no—
1795C22—24no—
1796C22—41no—
1797C22—42no—
1798C22—41no—
1799C22—41no—
1800C22—42no—
1801C22—41no—
1802C22—42no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—42no—
1807C22—41no—
1808C22—816no—
1809C22C2×D4×Q818yes—
1810C22C24×D411yescharacteristic
1811C22C24×Q811yescharacteristic
1812C22C22×2−1+411yescharacteristic
1813C22C2×#58511yescharacteristic
1814C22C2×#58511yescharacteristic
1815C22C2×#58511yescharacteristic
1816C22H(7,𝔽2)11yescharacteristic
1817C4—22no—
1818C4—24no—
1819C4—28no—
1820C4—22no—
1821C4—22no—
1822C4—24no—
1823C4—24no—
1824C4—24no—
1825C4—22no—
1826C4—22no—
1827C4—22no—
1828C4—24no—
1829C4—42no—
1830C4—44no—
1831C4—42no—
1832C4—42no—
1833C4—41no—
1834C4—42no—
1835C4—42no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—42no—
1840C4—44no—
1841C4—42no—
1842C4—42no—
1843C4—41no—
1844C4—44no—
1845C4—42no—
1846C4C2×D4×Q814yes—
1847C4#350014yes—
1848C2—28no—
1849C2—42no—
1850C2—44no—
1851C2—42no—
1852C2C22×D4×Q811yescharacteristic
1853C2C2×#350011yescharacteristic
1854C2#6281311yescharacteristic
1855C2#6295111yescharacteristic
1856C2#6298711yescharacteristic
1857C2#6298911yescharacteristic
1858C2#6302511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#546C22
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×#3503C2semidirect
2. C2×#3501C2semidirect
3. #59833C2semidirect
4. #59809C2semidirect
5. #59809C2semidirect
6. #59655C2semidirect
7. #59136C2semidirect
8. #59096C2semidirect
9. #59081C2semidirect
10. #59016C2semidirect
11. #45274C2semidirect
12. #44939C2semidirect
13. #44449C2semidirect
14. #43003C2semidirect
15. #39597C2semidirect
16. #39596C2semidirect
17. #39594C2semidirect
18. #39592C2semidirect
19. #39366C2semidirect
20. #39364C2semidirect
21. #36561C2semidirect
22. Q8×#124C2semidirect
23. #36276C2semidirect
24. #36276C2semidirect
25. #36274C2semidirect
26. #36154C2semidirect
27. #36130C2semidirect
28. #36129C2semidirect
29. #36031C2semidirect
30. #35702C2semidirect
31. #34929C2semidirect
32. C2×#2492C2semidirect
34. C4×#554C2semidirect
38. C2×Q82C22semidirect
39. C2×Q82C22semidirect
40. C2×#557C22semidirect
48. C2×#554C22semidirect
49. C2×#554C22semidirect
54. C2×D4×Q8C22semidirect
57. C2×#544C22semidirect
58. C2×#544C22semidirect
62. C2×#533C22semidirect
63. C2×#533C22semidirect
64. C22×C4⋊Q8C22semidirect
65. C22×C4⋊Q8C22semidirect
72. #2862C22semidirect
73. #2862C22semidirect
75. #2857C22semidirect
76. #2857C22semidirect
77. #2857C22semidirect
78. #2855C22semidirect
81. #2729C22semidirect
82. #2729C22semidirect
84. #2720C22semidirect
85. #2720C22semidirect
86. #2713C22semidirect
87. #2713C22semidirect
88. #2713C22semidirect
89. #2713C22semidirect
90. #2713C22semidirect
92. #2704C22semidirect
95. #2692C22semidirect
96. #2692C22semidirect
97. #2692C22semidirect
99. #2677C22semidirect
100. #2677C22semidirect
102. #2628C22semidirect
103. #2627C22semidirect
105. #2582C22semidirect
106. #2581C22semidirect
108. #2568C22semidirect
109. #2568C22semidirect
110. #2567C22semidirect
111. #2567C22semidirect
113. #2564C22semidirect
118. #2556C22semidirect
119. #2556C22semidirect
120. #2556C22semidirect
121. #2556C22semidirect
122. #2551C22semidirect
123. #2551C22semidirect
124. #2550C22semidirect
125. #2550C22semidirect
126. #2550C22semidirect
127. #2550C22semidirect
128. #2550C22semidirect
129. #2550C22semidirect
130. #2549C22semidirect
131. #2549C22semidirect
132. #2549C22semidirect
133. #2549C22semidirect
134. #2549C22semidirect
135. #2549C22semidirect
136. #2546C22semidirect
137. #2546C22semidirect
138. #2546C22semidirect
140. #2542C22semidirect
143. #2506C22semidirect
144. #2506C22semidirect
145. #2502C22semidirect
146. #2502C22semidirect
153. #2492C22semidirect
154. #2492C22semidirect
155. #2492C22semidirect
156. #2492C22semidirect
157. #2492C22semidirect
158. #2492C22semidirect
159. #2492C22semidirect
160. #2492C22semidirect
161. #2492C22semidirect
162. #2492C22semidirect
163. #2492C22semidirect
165. #2487C22semidirect
166. #2473C22semidirect
167. #2473C22semidirect
169. #2465C22semidirect
171. #2453C22semidirect
172. #2453C22semidirect
176. #2452C22semidirect
177. #2451C22semidirect
178. #2451C22semidirect
179. #2451C22semidirect
180. #2451C22semidirect
184. #2450C22semidirect
185. #2450C22semidirect
186. #2450C22semidirect
187. #2446C22semidirect
188. #2446C22semidirect
189. #2446C22semidirect
191. #2442C22semidirect
192. #2442C22semidirect
193. #2440C22semidirect
194. #2440C22semidirect
197. #2439C22semidirect
198. #2438C22semidirect
199. #2438C22semidirect
200. #2438C22semidirect
204. #2434C22semidirect
205. #2434C22semidirect
206. #2434C22semidirect
210. #2429C22semidirect
211. #2429C22semidirect
212. #2429C22semidirect
216. #2417C22semidirect
217. #2417C22semidirect
218. #2417C22semidirect
221. #2409C22semidirect
222. #2409C22semidirect
223. #2409C22semidirect
225. #2396C22semidirect
226. C2×#400C22semidirect
228. #2370C22semidirect
229. #2369C22semidirect
230. #2368C22semidirect
233. #2365C22semidirect
240. #2360C22semidirect
241. #2360C22semidirect
242. #2360C22semidirect
243. #2360C22semidirect
248. #2355C22semidirect
258. D4×C4⋊C4C22semidirect
259. #2345C22semidirect
262. Q8×C22⋊C4C22semidirect
263. Q8×C22⋊C4C22semidirect
264. Q8×C22⋊C4C22semidirect
273. C4×C4⋊Q8C22semidirect
274. C4×C4⋊Q8C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×#125C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×C22⋊Q8C22semidirect
283. C4×C22⋊Q8C22semidirect
289. C2×#391C22semidirect
290. C2×#391C22semidirect
291. C2×#391C22semidirect
295. C42×Q8C22semidirect
299. C2×C4×C4⋊C4C22semidirect
319. #554D4semidirect
325. #546Q8semidirect
849. C2×#41C2×Q8semidirect
878. C22×D4C2×Q8semidirect
945. #124C2×Q8semidirect
946. #123C2×Q8semidirect
985. C22⋊Q8C2×Q8semidirect
986. #121C2×Q8semidirect
987. #121C2×Q8semidirect
988. #120C2×Q8semidirect
1030. C4×D4C2×Q8semidirect
1031. C4×D4C2×Q8semidirect
1131. C2×C22⋊C4C2×Q8semidirect

Maximal subgroups

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

subgroupindex
C2×#35032
C2×#35012
#598332
#598092
#596552
#591362
#590962
#590812
#590162
#452742
#449392
#444492
#430032
#395972
#395962
#395942
#395922
#393662
#393642
#365612
Q8×#1242
#362762
#362742
#361542
#361302
#361292
#360312
#357022
#349292
C2×#24922
#343092
C4×#5542
C4×#5462