Finite Group Databasebeta

← #7693172

Subgroups — #7693172

Order 512.

7279 conjugacy classes of subgroups.

The subgroup lattice has 1878 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#59830C214yesmaximal, complemented
4#59809C212yesmaximal, complemented
5#59655C212yesmaximal, complemented
6#59413C211yesmaximal, characteristic, complemented
7#59127C211yesmaximal, characteristic, complemented
8#59113C212yesmaximal, complemented
9#59067C211yesmaximal, characteristic, complemented
10#58998C212yesmaximal, complemented
11#45110C212yesmaximal, complemented
12#44894C212yesmaximal, complemented
13#43909C214yesmaximal, complemented
14#43025C214yesmaximal, complemented
15#39599C211yesmaximal, characteristic, complemented
16#39598C211yesmaximal, characteristic, complemented
17#39595C212yesmaximal, complemented
18#39593C212yesmaximal, complemented
19#39365C212yesmaximal, complemented
20#39364C214yesmaximal, complemented
21#36562C211yesmaximal, characteristic, complemented
22Q8×#121C212yesmaximal, complemented
23#36276C211yesmaximal, characteristic, complemented
24#36275C211yesmaximal, characteristic, complemented
25#36261C212yesmaximal, complemented
26#36130C212yesmaximal, complemented
27#36129C211yesmaximal, characteristic, complemented
28D4×C22⋊Q8C211yesmaximal, characteristic, complemented
29#35806C212yesmaximal, complemented
30#35776C212yesmaximal, complemented
31#34929C211yesmaximal, characteristic, complemented
32C2×#2429C212yesmaximal, complemented
33#34309C212yesmaximal
34C4×D4×Q8C211yesmaximal, characteristic, complemented
35C4×#546C211yesmaximal, characteristic
36#3503—216no—
37#3501—216no—
38C2×Q82C2212yescomplemented
39C2×#557C2211yescharacteristic, complemented
40C2×#557C2211yescharacteristic, complemented
41C2×#554C2212yes—
42C2×#554C2214yes—
43C2×#554C2212yes—
44C2×#554C2212yes—
45C2×#554C2211yescharacteristic
46C2×#554C2211yescharacteristic
47C2×#554C2212yes—
48C2×#554C2214yescomplemented
49C2×D4×Q8C2211yescharacteristic
50C2×D4×Q8C2212yes—
51C2×D4×Q8C2211yescharacteristic
52C2×D4×Q8C2211yescharacteristic
53C2×D4×Q8C2212yescomplemented
54C2×D4×Q8C2212yescomplemented
55C2×D4×Q8C2212yescomplemented
56C2×#546C2211yescharacteristic
57C2×#544C2212yes—
58C2×#544C2212yescomplemented
59C2×#544C2214yescomplemented
60C2×#543C2214yes—
61C2×#533C2211yescharacteristic
62C2×#533C2211yescharacteristic
63C2×#533C2212yescomplemented
64C2×#533C2211yescharacteristic, complemented
65C22×C4⋊Q8C2211yescharacteristic, complemented
66C22×C4⋊Q8C2212yescomplemented
67C22×C22⋊Q8C2212yes—
68C22×C22⋊Q8C2212yes—
69C22×C22⋊Q8C2212yes—
70C2×#520C2212yes—
71C2×#518C2212yes—
72C2×C4×#41C2211yescharacteristic
73C22×C4×Q8C2212yescomplemented
74C22×C4×D4C2211yescharacteristic
75#2862C2211yescharacteristic, complemented
76#2859C2212yescomplemented
77#2857C2211yescharacteristic
78#2857C2211yescharacteristic, complemented
79#2857C2212yescomplemented
80#2857C2214yescomplemented
81#2855C2212yescomplemented
82#2848C2212yes—
83#2734C2214yescomplemented
84#2734C2214yescomplemented
85#2732C2214yes—
86#2732C2214yescomplemented
87#2729C2214yes—
88#2729C2214yescomplemented
89#2729C2214yescomplemented
90#2729C2214yescomplemented
91#2726C2214yescomplemented
92#2726C2214yescomplemented
93#2720C2214yes—
94#2720C2214yescomplemented
95#2713C2214yescomplemented
96#2704C2214yes—
97#2704C2214yescomplemented
98#2704C2214yescomplemented
99#2692C2214yescomplemented
100#2683C2214yes—
101#2683C2214yescomplemented
102#2677C2214yes—
103#2677C2214yescomplemented
104#2629C2212yes—
105#2629C2212yescomplemented
106#2627C2214yescomplemented
107#2626C2214yes—
108#2584C2212yescomplemented
109#2584C2212yescomplemented
110#2583C2214yescomplemented
111#2583C2214yescomplemented
112#2582C2212yescomplemented
113#2582C2211yescharacteristic, complemented
114#2579C2214yes—
115#2579C2214yescomplemented
116#2567C2211yescharacteristic, complemented
117#2567C2211yescharacteristic, complemented
118#2566C2212yes—
119#2565C2212yescomplemented
120#2556C2214yes—
121#2556C2212yes—
122#2556C2214yescomplemented
123#2556C2214yescomplemented
124#2556C2212yescomplemented
125#2556C2214yescomplemented
126#2556C2214yescomplemented
127#2552C2212yescomplemented
128#2551C2212yescomplemented
129#2551C2211yescharacteristic, complemented
130#2550C2212yescomplemented
131#2550C2212yescomplemented
132#2550C2212yescomplemented
133#2550C2212yescomplemented
134#2549C2214yescomplemented
135#2549C2214yescomplemented
136#2549C2214yescomplemented
137#2549C2214yescomplemented
138#2546C2214yescomplemented
139#2546C2211yescharacteristic, complemented
140#2546C2212yescomplemented
141#2546C2211yescharacteristic, complemented
142#2542C2211yescharacteristic
143#2542C2211yescharacteristic
144#2538C2212yes—
145#2538C2211yescharacteristic
146#2538C2211yescharacteristic
147#2538C2214yescomplemented
148#2538C2212yescomplemented
149#2506C2212yescomplemented
150#2502C2212yescomplemented
151#2492C2212yes—
152#2492C2211yescharacteristic
153#2492C2214yescomplemented
154#2492C2211yescharacteristic, complemented
155#2487C2212yescomplemented
156#2473C2214yescomplemented
157#2465C2214yes—
158#2462C2214yescomplemented
159#2462C2214yescomplemented
160#2454C2212yes—
161#2453C2212yescomplemented
162#2453C2212yescomplemented
163#2452C2212yes—
164#2452C2212yes—
165#2452C2212yes—
166#2451C2212yescomplemented
167#2451C2212yescomplemented
168#2451C2212yescomplemented
169#2450C2214yes—
170#2450C2214yescomplemented
171#2449C2214yes—
172#2449C2214yes—
173#2449C2214yescomplemented
174#2449C2214yescomplemented
175#2449C2214yescomplemented
176#2449C2214yescomplemented
177#2446C2212yescomplemented
178#2446C2212yescomplemented
179#2442C2212yescomplemented
180#2441C2212yes—
181#2441C2212yescomplemented
182#2440C2212yes—
183#2440C2214yescomplemented
184#2440C2214yescomplemented
185#2440C2212yescomplemented
186#2440C2214yescomplemented
187#2440C2212yescomplemented
188#2439C2212yes—
189#2438C2214yescomplemented
190#2438C2214yescomplemented
191#2438C2214yescomplemented
192#2437C2214yes—
193#2437C2214yes—
194#2437C2214yes—
195#2434C2212yescomplemented
196#2434C2212yescomplemented
197#2434C2212yescomplemented
198#2429C2214yes—
199#2429C2212yes—
200#2429C2212yes—
201#2429C2211yescharacteristic
202#2429C2212yes—
203#2429C2212yes—
204#2429C2214yes—
205#2429C2214yescomplemented
206#2429C2214yescomplemented
207#2429C2214yescomplemented
208#2429C2212yescomplemented
209#2429C2214yescomplemented
210#2429C2211yescharacteristic, complemented
211#2429C2212yescomplemented
212#2429C2212yescomplemented
213#2429C2212yescomplemented
214#2429C2212yescomplemented
215#2429C2214yescomplemented
216#2423C2212yes—
217#2423C2212yescomplemented
218#2417C2212yes—
219#2417C2214yes—
220#2417C2212yes—
221#2417C2214yescomplemented
222#2417C2212yescomplemented
223#2417C2212yescomplemented
224#2409C2212yes—
225#2409C2212yes—
226#2409C2212yescomplemented
227#2396C2212yes—
228#2396C2212yescomplemented
229C2×#398C2214yescomplemented
230C2×#396C2214yes—
231#2367C2212yes—
232#2367C2211yescharacteristic
233#2365C2212yescomplemented
234#2365C2211yescharacteristic, complemented
235#2364C2214yes—
236#2364C2212yes—
237#2363C2211yescharacteristic
238#2362C2212yes—
239#2361C2212yes—
240#2360C2211yescharacteristic
241#2360C2214yescomplemented
242#2360C2214yescomplemented
243#2360C2212yescomplemented
244#2360C2212yescomplemented
245#2360C2212yescomplemented
246#2360C2212yescomplemented
247#2359C2214yes—
248#2359C2212yes—
249#2358C2214yes—
250#2358C2212yes—
251#2352C2212yes—
252#2352C2211yescharacteristic
253Q8×C4⋊C4C2211yescharacteristic, complemented
254Q8×C4⋊C4C2212yescomplemented
255#2349C2212yes—
256#2349C2211yescharacteristic
257#2349C2212yes—
258D4×C4⋊C4C2211yescharacteristic
259D4×C4⋊C4C2212yes—
260D4×C4⋊C4C2212yes—
261D4×C4⋊C4C2212yes—
262#2342C2214yes—
263#2342C2212yes—
264Q8×C22⋊C4C2212yescomplemented
265Q8×C22⋊C4C2212yescomplemented
266Q8×C22⋊C4C2212yescomplemented
267#2339C2212yes—
268#2339C2211yescharacteristic
269D4×C22⋊C4C2212yes—
270D4×C22⋊C4C2211yescharacteristic
271#2324C2212yes—
272#2323C2212yes—
273#2322C2214yes—
274#2321C2214yes—
275C4×C4⋊Q8C2212yescomplemented
276C4×C4⋊Q8C2212yescomplemented
277C4×C4⋊Q8C2211yescharacteristic, complemented
278C4×C4⋊Q8C2211yescharacteristic, complemented
279C4×#124C2212yes—
280C4×#124C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2212yescomplemented
284C4×C22⋊Q8C2214yescomplemented
285C4×C22⋊Q8C2211yescharacteristic, complemented
286C4×#123C2212yes—
287C4×#121C2214yes—
288C4×#121C2212yes—
289C4×#121C2211yescharacteristic
290C4×#120C2212yes—
291C2×#391C2212yescomplemented
292#2293C2212yes—
293C2×#389C2214yescomplemented
294C2×#389C2212yescomplemented
295C2×#388C2214yes—
296C42×Q8C2211yescharacteristic, complemented
297C42×D4C2212yes—
298C42×D4C2211yescharacteristic
299C42×D4C2211yescharacteristic
300C2×C4×C22⋊C4C2212yes—
301C22×#41C2311yescharacteristic
302C23×Q8C2312yes—
303C23×Q8C2312yes—
304C23×Q8C2312yes—
305C23×Q8C2312yes—
306C23×D4C2311yescharacteristic
307C24×C4C2312yes—
308Q82—216no—
309#557—28no—
310#557—28no—
311#554—216no—
312#554—216no—
313#554—232no—
314#554—232no—
315#554—28no—
316#554—216no—
317#554—28no—
318#554—216no—
319D4×Q8—216no—
320D4×Q8—216no—
321D4×Q8—28no—
322D4×Q8—216no—
323D4×Q8—28no—
324D4×Q8—48no—
325D4×Q8D4116yescomplemented
326#546Q8116yescomplemented
327#544—216no—
328#544—216no—
329#544—232no—
330#543—232no—
331#533—28no—
332#533—216no—
333#533—28no—
334#533—28no—
335C2×C4⋊Q8—216no—
336C2×C4⋊Q8—28no—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2314yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2314yes—
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2311yescharacteristic
348C2×C4⋊Q8C2311yescharacteristic
349C2×C4⋊Q8C2311yescharacteristic
350C2×C4⋊Q8C2314yes—
351C2×C4⋊Q8C2314yes—
352C2×C4⋊Q8C2314yes—
353C2×C4⋊Q8C2312yes—
354C2×C4⋊Q8C2312yes—
355C2×C4⋊Q8C2312yes—
356C2×C4⋊Q8C2311yescharacteristic
357C2×C4⋊Q8C2314yes—
358C2×C4⋊Q8C2312yes—
359C2×C4⋊Q8C2311yescharacteristic
360C2×C4⋊Q8C2312yes—
361C2×#125C2312yes—
362C2×#125C2312yes—
363C2×#125C2312yes—
364C2×#125C2312yes—
365C2×#125C2312yes—
366C2×#125C2314yes—
367C2×#125C2312yes—
368C2×#125C2314yes—
369C2×#125C2312yes—
370C2×#125C2314yes—
371C2×#125C2314yes—
372C2×#124C2311yescharacteristic
373C2×#123C2312yes—
374C2×C22⋊Q8—216no—
375C2×C22⋊Q8—216no—
376C2×C22⋊Q8—48no—
377C2×C22⋊Q8C2314yes—
378C2×C22⋊Q8C2314yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2311yescharacteristic
385C2×C22⋊Q8C2311yescharacteristic
386C2×C22⋊Q8C2311yescharacteristic
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2314yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2311yescharacteristic
394C2×C22⋊Q8C2311yescharacteristic
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2311yescharacteristic
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2314yes—
417C2×C22⋊Q8C2314yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2314yes—
420C2×C22⋊Q8C2311yescharacteristic
421C2×#121C2311yescharacteristic
422C2×#121C2312yes—
423C2×#120C2312yes—
424#520—216no—
425#518—216no—
426C4×#41—28no—
427C2×C4×Q8—48no—
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2311yescharacteristic
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2311yescharacteristic
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2311yescharacteristic
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2314yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2314yes—
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2314yes—
448C2×C4×Q8C2311yescharacteristic
449C2×C4×D4—28no—
450C2×C4×D4C2312yes—
451C2×C4×D4C2314yes—
452C2×C4×D4C2314yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2312yes—
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2314yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2314yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2312yes—
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2314yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2311yescharacteristic
476C2×#117C2312yes—
477C2×#117C2312yes—
478C2×#117C2312yes—
479C2×#117C2314yes—
480C2×#117C2312yes—
481C2×#117C2311yescharacteristic
482C22×C4⋊C4C2314yes—
483C22×C4⋊C4C2314yes—
484C22×C4⋊C4C2314yes—
485C22×C4⋊C4C2312yes—
486C22×C4⋊C4C2311yescharacteristic
487C22×C4⋊C4C2312yes—
488C22×C4⋊C4C2312yes—
489C22×C4⋊C4C2314yes—
490C22×C4⋊C4C2312yes—
491C22×C4⋊C4C2312yes—
492C22×C4⋊C4C2314yes—
493C22×C4⋊C4C2314yes—
494C22×C4⋊C4C2314yes—
495C22×C22⋊C4C2314yes—
496C22×C22⋊C4C2312yes—
497C22×C22⋊C4C2314yes—
498C22×C22⋊C4C2312yes—
499C22×C22⋊C4C2314yes—
500C22×C22⋊C4C2312yes—
501C22×C42C2312yes—
502C22×C42C2311yescharacteristic
503C22×C42C2311yescharacteristic
504C22×C42C2312yes—
505C22×C42C2314yes—
506#400C2314yes—
507#400C2314yes—
508#400C2312yes—
509#400C2312yes—
510#400C2314yes—
511#399C2314yes—
512#399C2314yes—
513#399C2312yes—
514#399C2312yes—
515#399C2314yes—
516#399C2314yes—
517#398C2314yes—
518#398C2314yes—
519#398C2312yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#398C2314yes—
524#398C2314yes—
525#398C2314yes—
526#398C2314yes—
527#398C2314yes—
528#398C2314yes—
529#398C2314yes—
530#398C2312yes—
531#398C2314yes—
532#398C2314yes—
533#398C2314yes—
534#398C2312yes—
535#398C2314yes—
536#398C2314yes—
537#398C2314yes—
538#398C2314yes—
539#398C2312yes—
540#398C2314yes—
541#398C2314yes—
542#398C2314yes—
543#398C2314yes—
544#398C2314yes—
545#396C2314yes—
546#396C2314yes—
547#396C2314yes—
548#396C2312yes—
549#396C2314yes—
550#396C2312yes—
551#396C2314yes—
552#396C2314yes—
553#396C2314yes—
554#396C2314yes—
555#396C2312yes—
556#396C2314yes—
557#396C2314yes—
558#396C2314yes—
559#396C2314yes—
560#396C2312yes—
561#396C2314yes—
562#396C2314yes—
563#396C2314yes—
564#395C2314yes—
565#395C2314yes—
566#395C2314yes—
567#395C2314yes—
568#395C2314yes—
569#395C2314yes—
570#395C2314yes—
571#395C2314yes—
572#395C2314yes—
573#395C2314yes—
574#395C2312yes—
575#395C2312yes—
576#395C2314yes—
577#395C2314yes—
578#395C2314yes—
579#393C2314yes—
580#393C2314yes—
581#393C2312yes—
582#393C2312yes—
583#393C2314yes—
584#391C2311yescharacteristic
585#391C2312yes—
586#391C2314yes—
587#391C2312yes—
588#391C2311yescharacteristic
589#391C2312yes—
590#391C2311yescharacteristic
591#391C2312yes—
592#391C2312yes—
593#391C2312yes—
594#391C2311yescharacteristic
595#391C2312yes—
596#391C2314yes—
597#391C2312yes—
598#391C2312yes—
599#391C2314yes—
600#391C2314yes—
601#391C2312yes—
602#391C2314yes—
603#391C2314yes—
604#391C2314yes—
605#391C2311yescharacteristic
606#391C2312yes—
607#391C2312yes—
608#391C2312yes—
609#391C2312yes—
610#391C2311yescharacteristic
611#391C2312yes—
612#391C2314yes—
613#391C2314yes—
614#390C2311yescharacteristic
615#390C2312yes—
616#390C2312yes—
617#390C2314yes—
618#390C2312yes—
619#390C2311yescharacteristic
620#390C2312yes—
621#390C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2314yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2314yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2314yes—
644#389C2312yes—
645#389C2314yes—
646#389C2314yes—
647#389C2314yes—
648#389C2314yes—
649#389C2314yes—
650#389C2311yescharacteristic
651#389C2311yescharacteristic
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2314yes—
657#389C2314yes—
658#389C2314yes—
659#389C2314yes—
660#389C2314yes—
661#389C2311yescharacteristic
662#389C2312yes—
663#389C2314yes—
664#389C2314yes—
665#389C2314yes—
666#389C2312yes—
667#389C2312yes—
668#389C2314yes—
669#389C2314yes—
670#389C2311yescharacteristic
671#389C2314yes—
672#389C2314yes—
673#389C2314yes—
674#389C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2312yes—
682#388C2314yes—
683#388C2312yes—
684#388C2312yes—
685#388C2312yes—
686#388C2312yes—
687#388C2312yes—
688#388C2312yes—
689#388C2314yes—
690#388C2312yes—
691#388C2314yes—
692#388C2312yes—
693#388C2314yes—
694#388C2312yes—
695#388C2314yes—
696#388C2312yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2312yes—
709#387C2312yes—
710#387C2312yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2312yes—
715#387C2312yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2312yes—
721#386C2312yes—
722#386C2314yes—
723#386C2314yes—
724#386C2312yes—
725#386C2314yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#386C2312yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2312yes—
746#385C2312yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2312yes—
752#385C2312yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2312yes—
757#385C2312yes—
758#385C2312yes—
759#384C2311yescharacteristic
760#384C2312yes—
761#384C2311yescharacteristic
762#384C2312yes—
763#384C2312yes—
764#384C2312yes—
765#384C2312yes—
766#384C2314yes—
767#382C2312yes—
768#382C2311yescharacteristic
769#382C2312yes—
770#381C2314yes—
771#381C2312yes—
772#380C2312yes—
773#380C2314yes—
774#380C2312yes—
775#380C2311yescharacteristic
776#380C2312yes—
777#380C2312yes—
778#380C2311yescharacteristic
779#380C2311yescharacteristic
780#380C2312yes—
781#380C2314yes—
782#380C2314yes—
783#380C2312yes—
784#380C2314yes—
785#380C2312yes—
786#380C2314yes—
787#380C2314yes—
788#380C2314yes—
789#380C2311yescharacteristic
790#380C2314yes—
791#379C2314yes—
792#379C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2314yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2314yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2312yes—
816C4×C22⋊C4C2314yes—
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2311yescharacteristic
822C4×C22⋊C4C2314yes—
823C4×C22⋊C4C2314yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2311yescharacteristic
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2312yes—
842C2×#95C2312yes—
843C2×#95C2314yes—
844C2×#95C2312yes—
845C2×#95C2314yes—
846C2×#95C2314yes—
847C43C2312yes—
848C43C2311yescharacteristic
849C25C2412yes—
850C2×#41—24no—
851C2×#41—24no—
852C2×#41C2×Q818yescomplemented
853C22×Q8—28no—
854C22×Q8—28no—
855C22×Q8—28no—
856C22×Q8—44no—
857C22×Q8—44no—
858C22×Q8—44no—
859C22×Q8—44no—
860C22×Q8—44no—
861C22×Q8—44no—
862C22×Q8—44no—
863C22×Q8—44no—
864C22×Q8C2×D4116yes—
865C22×Q8C2411yescharacteristic
866C22×Q8C2411yescharacteristic
867C22×Q8C2412yes—
868C22×Q8C2412yes—
869C22×Q8C2411yescharacteristic
870C22×Q8C2412yes—
871C22×Q8C2411yescharacteristic
872C22×Q8C2412yes—
873C22×Q8C2412yes—
874C22×Q8C2414yes—
875C22×Q8C2414yes—
876C22×Q8C2414yes—
877C22×Q8C2414yes—
878C22×D4—24no—
879C22×D4—24no—
880C22×D4C2×Q818yescomplemented
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2411yescharacteristic
884C22×D4C2411yescharacteristic
885C22×D4C2412yes—
886C22×D4C2411yescharacteristic
887C23×C4—28no—
888C23×C4—44no—
889C23×C4—44no—
890C23×C4C2412yes—
891C23×C4C2411yescharacteristic
892C23×C4C2411yescharacteristic
893C23×C4C2412yes—
894C23×C4C2414yes—
895C23×C4C2411yescharacteristic
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2411yescharacteristic
899C23×C4C2411yescharacteristic
900C23×C4C2411yescharacteristic
901C23×C4C2414yes—
902C23×C4C2414yes—
903C23×C4C2414yes—
904C23×C4C2412yes—
905C23×C4C2414yes—
906C23×C4C2412yes—
907C23×C4C2412yes—
908C23×C4C2414yes—
909C23×C4C2412yes—
910C23×C4C2414yes—
911C23×C4C2412yes—
912C4⋊Q8—28no—
913C4⋊Q8—24no—
914C4⋊Q8—216no—
915C4⋊Q8—28no—
916C4⋊Q8—28no—
917C4⋊Q8—216no—
918C4⋊Q8—24no—
919C4⋊Q8—216no—
920C4⋊Q8—216no—
921C4⋊Q8—28no—
922C4⋊Q8—28no—
923C4⋊Q8—24no—
924C4⋊Q8—24no—
925C4⋊Q8—28no—
926C4⋊Q8—216no—
927C4⋊Q8—28no—
928C4⋊Q8—24no—
929C4⋊Q8—24no—
930C4⋊Q8—48no—
931C4⋊Q8—42no—
932C4⋊Q8—44no—
933C4⋊Q8—44no—
934C4⋊Q8C2×D418yes—
935C4⋊Q8C2×D4116yes—
936#125—216no—
937#125—28no—
938#125—28no—
939#125—28no—
940#125—216no—
941#125—28no—
942#125—216no—
943#125—216no—
944#125—28no—
945#125—28no—
946#125—28no—
947#124C2×Q818yescomplemented
948#123C2×Q8116yescomplemented
949C22⋊Q8—28no—
950C22⋊Q8—24no—
951C22⋊Q8—216no—
952C22⋊Q8—28no—
953C22⋊Q8—28no—
954C22⋊Q8—216no—
955C22⋊Q8—24no—
956C22⋊Q8—216no—
957C22⋊Q8—216no—
958C22⋊Q8—28no—
959C22⋊Q8—28no—
960C22⋊Q8—216no—
961C22⋊Q8—216no—
962C22⋊Q8—24no—
963C22⋊Q8—216no—
964C22⋊Q8—28no—
965C22⋊Q8—28no—
966C22⋊Q8—24no—
967C22⋊Q8—28no—
968C22⋊Q8—216no—
969C22⋊Q8—216no—
970C22⋊Q8—216no—
971C22⋊Q8—216no—
972C22⋊Q8—24no—
973C22⋊Q8—28no—
974C22⋊Q8—24no—
975C22⋊Q8—216no—
976C22⋊Q8—216no—
977C22⋊Q8—216no—
978C22⋊Q8—216no—
979C22⋊Q8—216no—
980C22⋊Q8—216no—
981C22⋊Q8—48no—
982C22⋊Q8—48no—
983C22⋊Q8—48no—
984C22⋊Q8—48no—
985C22⋊Q8—48no—
986C22⋊Q8—44no—
987C22⋊Q8—44no—
988C22⋊Q8—44no—
989C22⋊Q8—44no—
990C22⋊Q8C2×D4116yes—
991C22⋊Q8C2×D4132yes—
992C22⋊Q8C2×Q818yescomplemented
993#121C2×Q818yescomplemented
994#121C2×Q8116yescomplemented
995#120C2×Q8116yescomplemented
996C4×Q8—28no—
997C4×Q8—28no—
998C4×Q8—24no—
999C4×Q8—28no—
1000C4×Q8—28no—
1001C4×Q8—28no—
1002C4×Q8—216no—
1003C4×Q8—24no—
1004C4×Q8—28no—
1005C4×Q8—24no—
1006C4×Q8—28no—
1007C4×Q8—24no—
1008C4×Q8—24no—
1009C4×Q8—28no—
1010C4×Q8—28no—
1011C4×Q8—48no—
1012C4×Q8—48no—
1013C4×Q8—44no—
1014C4×Q8—44no—
1015C4×Q8—42no—
1016C4×Q8C2×D418yes—
1017C4×D4—24no—
1018C4×D4—24no—
1019C4×D4—28no—
1020C4×D4—28no—
1021C4×D4—28no—
1022C4×D4—24no—
1023C4×D4—28no—
1024C4×D4—28no—
1025C4×D4—216no—
1026C4×D4—216no—
1027C4×D4—24no—
1028C4×D4—28no—
1029C4×D4—28no—
1030C4×D4—28no—
1031C4×D4—216no—
1032C4×D4—216no—
1033C4×D4—24no—
1034C4×D4—28no—
1035C4×D4—48no—
1036C4×D4—42no—
1037C4×D4—44no—
1038C4×D4—42no—
1039C4×D4C2×D418yes—
1040C4×D4C2×D4116yes—
1041C4×D4C2×Q818yescomplemented
1042C4×D4C2×Q818yescomplemented
1043#117—24no—
1044#117—28no—
1045#117—28no—
1046#117—216no—
1047#117—28no—
1048#117—28no—
1049C2×C4⋊C4—216no—
1050C2×C4⋊C4—216no—
1051C2×C4⋊C4—28no—
1052C2×C4⋊C4—216no—
1053C2×C4⋊C4—24no—
1054C2×C4⋊C4—28no—
1055C2×C4⋊C4—216no—
1056C2×C4⋊C4—28no—
1057C2×C4⋊C4—28no—
1058C2×C4⋊C4—28no—
1059C2×C4⋊C4—48no—
1060C2×C4⋊C4—48no—
1061C2×C4⋊C4—48no—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2411yescharacteristic
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2411yescharacteristic
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C22⋊C4—216no—
1148C2×C22⋊C4—28no—
1149C2×C22⋊C4—216no—
1150C2×C22⋊C4—44no—
1151C2×C22⋊C4—48no—
1152C2×C22⋊C4C2×Q8116yescomplemented
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2411yescharacteristic
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2411yescharacteristic
1181C2×C22⋊C4C2411yescharacteristic
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2411yescharacteristic
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2411yescharacteristic
1197C2×C22⋊C4C2412yes—
1198C2×C42—28no—
1199C2×C42—24no—
1200C2×C42—24no—
1201C2×C42—44no—
1202C2×C42—48no—
1203C2×C42C2412yes—
1204C2×C42C2411yescharacteristic
1205C2×C42C2412yes—
1206C2×C42C2414yes—
1207C2×C42C2414yes—
1208C2×C42C2412yes—
1209C2×C42C2414yes—
1210C2×C42C2411yescharacteristic
1211C2×C42C2411yescharacteristic
1212C2×C42C2411yescharacteristic
1213C2×C42C2412yes—
1214C2×C42C2412yes—
1215C2×C42C2411yescharacteristic
1216C2×C42C2412yes—
1217C2×C42C2414yes—
1218C2×C42C2411yescharacteristic
1219C2×C42C2411yescharacteristic
1220C2×C42C2412yes—
1221C2×C42C2411yescharacteristic
1222C2×C42C2412yes—
1223C2×C42C2411yescharacteristic
1224C2×C42C2411yescharacteristic
1225C2×C42C2414yes—
1226C2×C42C2412yes—
1227C2×C42C2412yes—
1228C2×C42C2414yes—
1229C2×C42C2412yes—
1230C2×C42C2412yes—
1231C2×C42C2412yes—
1232C2×C42C2411yescharacteristic
1233C2×C42C2412yes—
1234C2×C42C2411yescharacteristic
1235C2×C42C2411yescharacteristic
1236#95C2411yescharacteristic
1237#95C2411yescharacteristic
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2414yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2412yes—
1257#95C2411yescharacteristic
1258#95C2411yescharacteristic
1259#95C2414yes—
1260#95C2412yes—
1261#95C2414yes—
1262#95C2412yes—
1263#95C2414yes—
1264#95C2412yes—
1265#95C2411yescharacteristic
1266#95C2411yescharacteristic
1267#95C2412yes—
1268#95C2414yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2412yes—
1274#95C2414yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294C24—24no—
1295C24—24no—
1296C24—42no—
1297C24—42no—
1298C24—42no—
1299C24—42no—
1300C24C22×Q818yes—
1301C24C2511yescharacteristic
1302C24C2512yes—
1303C24C2511yescharacteristic
1304C24C2512yes—
1305#41—232no—
1306C2×Q8—22no—
1307C2×Q8—24no—
1308C2×Q8—22no—
1309C2×Q8—24no—
1310C2×Q8—22no—
1311C2×Q8—24no—
1312C2×Q8—24no—
1313C2×Q8—28no—
1314C2×Q8—28no—
1315C2×Q8—28no—
1316C2×Q8—22no—
1317C2×Q8—24no—
1318C2×Q8—22no—
1319C2×Q8—24no—
1320C2×Q8—22no—
1321C2×Q8—22no—
1322C2×Q8—22no—
1323C2×Q8—24no—
1324C2×Q8—24no—
1325C2×Q8—24no—
1326C2×Q8—22no—
1327C2×Q8—22no—
1328C2×Q8—44no—
1329C2×Q8—44no—
1330C2×Q8—42no—
1331C2×Q8—44no—
1332C2×Q8—44no—
1333C2×Q8—44no—
1334C2×Q8—42no—
1335C2×Q8—42no—
1336C2×Q8—44no—
1337C2×Q8—44no—
1338C2×Q8—44no—
1339C2×Q8—42no—
1340C2×Q8—42no—
1341C2×Q8—432no—
1342C2×Q8—816no—
1343C2×Q8—816no—
1344C2×Q8—816no—
1345C2×Q8C22×D418yes—
1346C2×Q8C22×D414yes—
1347C2×Q8C22×D4116yes—
1348C2×Q8C22×Q814yes—
1349C2×D4—24no—
1350C2×D4—24no—
1351C2×D4—24no—
1352C2×D4—24no—
1353C2×D4—232no—
1354C2×D4—22no—
1355C2×D4—22no—
1356C2×D4—42no—
1357C2×D4—41no—
1358C2×D4—41no—
1359C2×D4—42no—
1360C2×D4C22×D414yes—
1361C2×D4C22×Q818yes—
1362C2×D4C22×Q818yes—
1363C2×D4C22×Q814yes—
1364C2×D4C22×Q814yes—
1365C2×D4C22×Q818yes—
1366C2×D4C22×Q814yes—
1367C2×D42−1+414yes—
1368C22×C4—24no—
1369C22×C4—24no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—24no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—24no—
1376C22×C4—24no—
1377C22×C4—28no—
1378C22×C4—28no—
1379C22×C4—24no—
1380C22×C4—28no—
1381C22×C4—24no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—24no—
1386C22×C4—28no—
1387C22×C4—22no—
1388C22×C4—24no—
1389C22×C4—22no—
1390C22×C4—24no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—24no—
1395C22×C4—22no—
1396C22×C4—28no—
1397C22×C4—28no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—28no—
1401C22×C4—42no—
1402C22×C4—44no—
1403C22×C4—44no—
1404C22×C4—42no—
1405C22×C4—41no—
1406C22×C4—42no—
1407C22×C4—44no—
1408C22×C4—42no—
1409C22×C4—44no—
1410C22×C4—42no—
1411C22×C4—42no—
1412C22×C4—44no—
1413C22×C4—44no—
1414C22×C4—44no—
1415C22×C4—41no—
1416C22×C4—42no—
1417C22×C4—42no—
1418C22×C4—44no—
1419C22×C4—42no—
1420C22×C4—42no—
1421C22×C4—42no—
1422C22×C4—44no—
1423C22×C4—41no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4—44no—
1428C22×C4—816no—
1429C22×C4C22×D418yes—
1430C22×C4C22×D4116yes—
1431C22×C4C22×Q818yes—
1432C22×C4C22×Q814yes—
1433C22×C4C22×Q814yes—
1434C22×C4C22×Q818yes—
1435C22×C4C2511yescharacteristic
1436C22×C4C2512yes—
1437C22×C4C2511yescharacteristic
1438C22×C4C2512yes—
1439C22×C4C2514yes—
1440C22×C4C2511yescharacteristic
1441C22×C4C2514yes—
1442C22×C4C2512yes—
1443C22×C4C2511yescharacteristic
1444C22×C4C2511yescharacteristic
1445C22×C4C2512yes—
1446C22×C4C2512yes—
1447C22×C4C2514yes—
1448C22×C4C2512yes—
1449C22×C4C2512yes—
1450C22×C4C2512yes—
1451C22×C4C2511yescharacteristic
1452C22×C4C2512yes—
1453C22×C4C2514yes—
1454C22×C4C2512yes—
1455C22×C4C2512yes—
1456C22×C4C2511yescharacteristic
1457C22×C4C2511yescharacteristic
1458C22×C4C2512yes—
1459C22×C4C2512yes—
1460C22×C4C2511yescharacteristic
1461C22×C4C2511yescharacteristic
1462C22×C4C2512yes—
1463C22×C4C2511yescharacteristic
1464C22×C4C2511yescharacteristic
1465C22×C4C2511yescharacteristic
1466C4⋊C4—28no—
1467C4⋊C4—24no—
1468C4⋊C4—28no—
1469C4⋊C4—24no—
1470C4⋊C4—24no—
1471C4⋊C4—22no—
1472C4⋊C4—24no—
1473C4⋊C4—28no—
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—22no—
1477C4⋊C4—28no—
1478C4⋊C4—28no—
1479C4⋊C4—24no—
1480C4⋊C4—28no—
1481C4⋊C4—28no—
1482C4⋊C4—28no—
1483C4⋊C4—28no—
1484C4⋊C4—28no—
1485C4⋊C4—28no—
1486C4⋊C4—28no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—24no—
1490C4⋊C4—24no—
1491C4⋊C4—24no—
1492C4⋊C4—24no—
1493C4⋊C4—22no—
1494C4⋊C4—24no—
1495C4⋊C4—22no—
1496C4⋊C4—28no—
1497C4⋊C4—24no—
1498C4⋊C4—24no—
1499C4⋊C4—28no—
1500C4⋊C4—24no—
1501C4⋊C4—28no—
1502C4⋊C4—24no—
1503C4⋊C4—28no—
1504C4⋊C4—24no—
1505C4⋊C4—28no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—24no—
1509C4⋊C4—28no—
1510C4⋊C4—28no—
1511C4⋊C4—24no—
1512C4⋊C4—24no—
1513C4⋊C4—22no—
1514C4⋊C4—24no—
1515C4⋊C4—28no—
1516C4⋊C4—22no—
1517C4⋊C4—22no—
1518C4⋊C4—44no—
1519C4⋊C4—44no—
1520C4⋊C4—44no—
1521C4⋊C4—44no—
1522C4⋊C4—44no—
1523C4⋊C4—44no—
1524C4⋊C4—42no—
1525C4⋊C4—44no—
1526C4⋊C4—44no—
1527C4⋊C4—42no—
1528C4⋊C4—41no—
1529C4⋊C4—44no—
1530C4⋊C4—42no—
1531C4⋊C4—42no—
1532C4⋊C4—42no—
1533C4⋊C4—44no—
1534C4⋊C4—44no—
1535C4⋊C4—44no—
1536C4⋊C4—44no—
1537C4⋊C4—42no—
1538C4⋊C4—42no—
1539C4⋊C4—42no—
1540C4⋊C4—42no—
1541C4⋊C4C22×D414yes—
1542C4⋊C4C22×D414yes—
1543C4⋊C4C22×D418yes—
1544C4⋊C4C22×D4116yes—
1545C4⋊C4C22×D418yes—
1546C4⋊C4C22×D418yes—
1547C4⋊C4C22×Q814yes—
1548C4⋊C4C22×Q814yes—
1549C4⋊C4C22×Q818yes—
1550C4⋊C4H(5,𝔽2)14yes—
1551C22⋊C4—24no—
1552C22⋊C4—28no—
1553C22⋊C4—28no—
1554C22⋊C4—24no—
1555C22⋊C4—28no—
1556C22⋊C4—24no—
1557C22⋊C4—28no—
1558C22⋊C4—24no—
1559C22⋊C4—24no—
1560C22⋊C4—24no—
1561C22⋊C4—28no—
1562C22⋊C4—28no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—24no—
1567C22⋊C4—24no—
1568C22⋊C4—28no—
1569C22⋊C4—24no—
1570C22⋊C4—22no—
1571C22⋊C4—24no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—42no—
1577C22⋊C4—42no—
1578C22⋊C4—42no—
1579C22⋊C4—41no—
1580C22⋊C4—41no—
1581C22⋊C4—41no—
1582C22⋊C4—42no—
1583C22⋊C4—42no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4C22×D418yes—
1588C22⋊C4C22×D4116yes—
1589C22⋊C4C22×Q814yes—
1590C22⋊C4C22×Q818yes—
1591C22⋊C4C22×Q818yes—
1592C22⋊C4C22×Q818yes—
1593C22⋊C4C22×Q818yes—
1594C22⋊C4C22×Q814yes—
1595C22⋊C4C22×Q818yes—
1596C42—22no—
1597C42—24no—
1598C42—22no—
1599C42—22no—
1600C42—22no—
1601C42—22no—
1602C42—24no—
1603C42—24no—
1604C42—22no—
1605C42—28no—
1606C42—24no—
1607C42—28no—
1608C42—28no—
1609C42—24no—
1610C42—24no—
1611C42—22no—
1612C42—28no—
1613C42—24no—
1614C42—24no—
1615C42—22no—
1616C42—22no—
1617C42—44no—
1618C42—42no—
1619C42—44no—
1620C42—42no—
1621C42—41no—
1622C42—42no—
1623C42—41no—
1624C42—42no—
1625C42—42no—
1626C42C22×D414yes—
1627C42C22×D418yes—
1628C42C22×Q814yes—
1629C23—22no—
1630C23—22no—
1631C23—22no—
1632C23—22no—
1633C23—21no—
1634C23—21no—
1635C23—22no—
1636C23—21no—
1637C23—22no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—22no—
1642C23—22no—
1643C23—21no—
1644C23—21no—
1645C23—22no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—22no—
1651C23—216no—
1652C23—48no—
1653C23—48no—
1654C23—84no—
1655C23—84no—
1656C23—84no—
1657C23—84no—
1658C23C23×D414yes—
1659C23C23×Q812yes—
1660C23C23×Q814yes—
1661C23C23×Q812yes—
1662C23C23×Q814yes—
1663C23C2×2−1+414yes—
1664C23C2611yescharacteristic
1665Q8—28no—
1666Q8—28no—
1667Q8—216no—
1668Q8—416no—
1669Q8—48no—
1670Q8—44no—
1671Q8—44no—
1672Q8—48no—
1673Q8—84no—
1674Q8—84no—
1675Q8—88no—
1676Q8—88no—
1677Q8—88no—
1678D4—216no—
1679D4—216no—
1680D4—28no—
1681D4—48no—
1682D4—44no—
1683D4D4×Q8116yescomplemented
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—24no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—22no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—21no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—24no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—216no—
1711C2×C4—28no—
1712C2×C4—28no—
1713C2×C4—216no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—24no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—24no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—24no—
1728C2×C4—22no—
1729C2×C4—24no—
1730C2×C4—22no—
1731C2×C4—21no—
1732C2×C4—22no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—22no—
1736C2×C4—21no—
1737C2×C4—24no—
1738C2×C4—22no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—24no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—24no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—24no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—21no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—24no—
1761C2×C4—21no—
1762C2×C4—416no—
1763C2×C4—48no—
1764C2×C4—44no—
1765C2×C4—48no—
1766C2×C4—416no—
1767C2×C4—44no—
1768C2×C4—48no—
1769C2×C4—44no—
1770C2×C4—82no—
1771C2×C4—88no—
1772C2×C4—84no—
1773C2×C4—84no—
1774C2×C4—88no—
1775C2×C4—88no—
1776C2×C4—88no—
1777C2×C4—84no—
1778C2×C4—84no—
1779C2×C4—88no—
1780C2×C4C23×D412yes—
1781C2×C4C23×D414yes—
1782C2×C4C23×D414yes—
1783C2×C4C23×D418yes—
1784C2×C4C23×D414yes—
1785C2×C4C23×D412yes—
1786C2×C4C23×D412yes—
1787C2×C4C23×Q812yes—
1788C2×C4C23×Q812yes—
1789C2×C4C23×Q814yes—
1790C2×C4C23×Q812yes—
1791C2×C4C23×Q814yes—
1792C2×C4C23×Q812yes—
1793C2×C4C23×Q812yes—
1794C2×C4C2×H(5,𝔽2)14yes—
1795C2×C4C2×H(5,𝔽2)12yes—
1796C2×C4C2×2−1+412yes—
1797C2×C4#58512yes—
1798C2×C4#58512yes—
1799C22—24no—
1800C22—24no—
1801C22—24no—
1802C22—24no—
1803C22—24no—
1804C22—24no—
1805C22—22no—
1806C22—24no—
1807C22—22no—
1808C22—22no—
1809C22—22no—
1810C22—24no—
1811C22—22no—
1812C22—22no—
1813C22—24no—
1814C22—41no—
1815C22—42no—
1816C22—41no—
1817C22—41no—
1818C22—42no—
1819C22—41no—
1820C22—41no—
1821C22—42no—
1822C22—41no—
1823C22—41no—
1824C22—42no—
1825C22—41no—
1826C22—816no—
1827C22C2×D4×Q818yes—
1828C22C24×D411yescharacteristic
1829C22C24×Q811yescharacteristic
1830C22C22×H(5,𝔽2)11yescharacteristic
1831C22C22×2−1+411yescharacteristic
1832C22C2×#58511yescharacteristic
1833C22C2×#58511yescharacteristic
1834C222−1+611yescharacteristic
1835C4—22no—
1836C4—24no—
1837C4—22no—
1838C4—22no—
1839C4—24no—
1840C4—24no—
1841C4—24no—
1842C4—24no—
1843C4—28no—
1844C4—22no—
1845C4—22no—
1846C4—22no—
1847C4—24no—
1848C4—42no—
1849C4—44no—
1850C4—42no—
1851C4—41no—
1852C4—42no—
1853C4—44no—
1854C4—42no—
1855C4—41no—
1856C4—41no—
1857C4—42no—
1858C4—41no—
1859C4—42no—
1860C4—42no—
1861C4—44no—
1862C4—41no—
1863C4—42no—
1864C4C2×D4×Q814yes—
1865C4#349614yes—
1866C2—28no—
1867C2—42no—
1868C2—44no—
1869C2—42no—
1870C2C22×D4×Q811yescharacteristic
1871C2C2×#349611yescharacteristic
1872C2#6281311yescharacteristic
1873C2#6295011yescharacteristic
1874C2Q8×H(5,𝔽2)11yescharacteristic
1875C2#6300211yescharacteristic
1876C2#6301311yescharacteristic
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. #59830C2semidirect
4. #59809C2semidirect
5. #59655C2semidirect
6. #59413C2semidirect
7. #59127C2semidirect
8. #59113C2semidirect
9. #59067C2semidirect
10. #58998C2semidirect
11. #45110C2semidirect
12. #44894C2semidirect
13. #43909C2semidirect
14. #43025C2semidirect
15. #39599C2semidirect
16. #39598C2semidirect
17. #39595C2semidirect
18. #39593C2semidirect
19. #39365C2semidirect
20. #39364C2semidirect
21. #36562C2semidirect
22. Q8×#121C2semidirect
23. #36276C2semidirect
24. #36275C2semidirect
25. #36261C2semidirect
26. #36130C2semidirect
27. #36129C2semidirect
28. D4×C22⋊Q8C2semidirect
29. #35806C2semidirect
30. #35776C2semidirect
31. #34929C2semidirect
32. C2×#2429C2semidirect
34. C4×D4×Q8C2semidirect
38. C2×Q82C22semidirect
39. C2×#557C22semidirect
40. C2×#557C22semidirect
48. C2×#554C22semidirect
53. C2×D4×Q8C22semidirect
54. C2×D4×Q8C22semidirect
55. C2×D4×Q8C22semidirect
58. C2×#544C22semidirect
59. C2×#544C22semidirect
63. C2×#533C22semidirect
64. C2×#533C22semidirect
65. C22×C4⋊Q8C22semidirect
66. C22×C4⋊Q8C22semidirect
73. C22×C4×Q8C22semidirect
75. #2862C22semidirect
76. #2859C22semidirect
78. #2857C22semidirect
79. #2857C22semidirect
80. #2857C22semidirect
81. #2855C22semidirect
83. #2734C22semidirect
84. #2734C22semidirect
86. #2732C22semidirect
88. #2729C22semidirect
89. #2729C22semidirect
90. #2729C22semidirect
91. #2726C22semidirect
92. #2726C22semidirect
94. #2720C22semidirect
95. #2713C22semidirect
97. #2704C22semidirect
98. #2704C22semidirect
99. #2692C22semidirect
101. #2683C22semidirect
103. #2677C22semidirect
105. #2629C22semidirect
106. #2627C22semidirect
108. #2584C22semidirect
109. #2584C22semidirect
110. #2583C22semidirect
111. #2583C22semidirect
112. #2582C22semidirect
113. #2582C22semidirect
115. #2579C22semidirect
116. #2567C22semidirect
117. #2567C22semidirect
119. #2565C22semidirect
122. #2556C22semidirect
123. #2556C22semidirect
124. #2556C22semidirect
125. #2556C22semidirect
126. #2556C22semidirect
127. #2552C22semidirect
128. #2551C22semidirect
129. #2551C22semidirect
130. #2550C22semidirect
131. #2550C22semidirect
132. #2550C22semidirect
133. #2550C22semidirect
134. #2549C22semidirect
135. #2549C22semidirect
136. #2549C22semidirect
137. #2549C22semidirect
138. #2546C22semidirect
139. #2546C22semidirect
140. #2546C22semidirect
141. #2546C22semidirect
147. #2538C22semidirect
148. #2538C22semidirect
149. #2506C22semidirect
150. #2502C22semidirect
153. #2492C22semidirect
154. #2492C22semidirect
155. #2487C22semidirect
156. #2473C22semidirect
158. #2462C22semidirect
159. #2462C22semidirect
161. #2453C22semidirect
162. #2453C22semidirect
166. #2451C22semidirect
167. #2451C22semidirect
168. #2451C22semidirect
170. #2450C22semidirect
173. #2449C22semidirect
174. #2449C22semidirect
175. #2449C22semidirect
176. #2449C22semidirect
177. #2446C22semidirect
178. #2446C22semidirect
179. #2442C22semidirect
181. #2441C22semidirect
183. #2440C22semidirect
184. #2440C22semidirect
185. #2440C22semidirect
186. #2440C22semidirect
187. #2440C22semidirect
189. #2438C22semidirect
190. #2438C22semidirect
191. #2438C22semidirect
195. #2434C22semidirect
196. #2434C22semidirect
197. #2434C22semidirect
205. #2429C22semidirect
206. #2429C22semidirect
207. #2429C22semidirect
208. #2429C22semidirect
209. #2429C22semidirect
210. #2429C22semidirect
211. #2429C22semidirect
212. #2429C22semidirect
213. #2429C22semidirect
214. #2429C22semidirect
215. #2429C22semidirect
217. #2423C22semidirect
221. #2417C22semidirect
222. #2417C22semidirect
223. #2417C22semidirect
226. #2409C22semidirect
228. #2396C22semidirect
229. C2×#398C22semidirect
233. #2365C22semidirect
234. #2365C22semidirect
241. #2360C22semidirect
242. #2360C22semidirect
243. #2360C22semidirect
244. #2360C22semidirect
245. #2360C22semidirect
246. #2360C22semidirect
253. Q8×C4⋊C4C22semidirect
254. Q8×C4⋊C4C22semidirect
264. Q8×C22⋊C4C22semidirect
265. Q8×C22⋊C4C22semidirect
266. Q8×C22⋊C4C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×C4⋊Q8C22semidirect
277. C4×C4⋊Q8C22semidirect
278. C4×C4⋊Q8C22semidirect
283. C4×C22⋊Q8C22semidirect
284. C4×C22⋊Q8C22semidirect
285. C4×C22⋊Q8C22semidirect
291. C2×#391C22semidirect
293. C2×#389C22semidirect
294. C2×#389C22semidirect
296. C42×Q8C22semidirect
325. D4×Q8D4semidirect
326. #546Q8semidirect
852. C2×#41C2×Q8semidirect
880. C22×D4C2×Q8semidirect
947. #124C2×Q8semidirect
948. #123C2×Q8semidirect
992. C22⋊Q8C2×Q8semidirect
993. #121C2×Q8semidirect
994. #121C2×Q8semidirect
995. #120C2×Q8semidirect
1041. C4×D4C2×Q8semidirect
1042. C4×D4C2×Q8semidirect
1152. C2×C22⋊C4C2×Q8semidirect
1683. D4D4×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
#598302
#598092
#596552
#594132
#591272
#591132
#590672
#589982
#451102
#448942
#439092
#430252
#395992
#395982
#395952
#395932
#393652
#393642
#365622
Q8×#1212
#362762
#362752
#362612
#361302
#361292
D4×C22⋊Q82
#358062
#357762
#349292
C2×#24292
#343092
C4×D4×Q82
C4×#5462