Finite Group Databasebeta

← #7689572

Subgroups — #7689572

Order 512.

7102 conjugacy classes of subgroups.

The subgroup lattice has 1877 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3501C211yesmaximal, characteristic, complemented
2C2×#3482C211yesmaximal, characteristic, complemented
3#59421C211yesmaximal, characteristic, complemented
4#59317C212yesmaximal, complemented
5#59079C212yesmaximal, complemented
6#59077C214yesmaximal, complemented
7#59076C212yesmaximal, complemented
8#59065C211yesmaximal, characteristic, complemented
9#59042C211yesmaximal, characteristic, complemented
10#59014C212yesmaximal, complemented
11#45142C212yesmaximal, complemented
12#45098C212yesmaximal, complemented
13#43532C214yesmaximal, complemented
14#43493C214yesmaximal, complemented
15#39724C211yesmaximal, characteristic, complemented
16#39723C212yesmaximal, complemented
17#39173C211yesmaximal, characteristic, complemented
18#39166C212yesmaximal, complemented
19#37757C212yesmaximal, complemented
20#37754C214yesmaximal, complemented
21#36492C211yesmaximal, characteristic, complemented
22#36482C212yesmaximal, complemented
23#36275C211yesmaximal, characteristic, complemented
24#36219C212yesmaximal, complemented
25#36164C211yesmaximal, characteristic, complemented
26#36153C211yesmaximal, characteristic, complemented
27#36151C211yesmaximal, characteristic, complemented
28#36108C212yesmaximal, complemented
29#36042C212yesmaximal, complemented
30#36009C212yesmaximal, complemented
31#34720C211yesmaximal, characteristic, complemented
32C2×#2421C212yesmaximal, complemented
33#34334C211yesmaximal, characteristic, complemented
34#34292C212yesmaximal, complemented
35C4×#546C211yesmaximal, characteristic, complemented
36#3501—216no—
37#3482—216no—
38C2×#557C2211yescharacteristic, complemented
39C2×#556C2211yescharacteristic, complemented
40C2×#556C2212yescomplemented
41C2×#554C2211yescharacteristic
42C2×#554C2214yes—
43C2×#554C2211yescharacteristic
44C2×#554C2212yes—
45C2×#554C2212yes—
46C2×#554C2212yes—
47C2×#552C2214yescomplemented
48C2×#552C2212yescomplemented
49C2×D4×Q8C2211yescharacteristic
50C2×D4×Q8C2212yes—
51C2×D4×Q8C2211yescharacteristic
52C2×#548C2212yescomplemented
53C2×#547C2211yescharacteristic
54C2×#547C2212yes—
55C2×#546C2212yes—
56C2×#546C2211yescharacteristic
57C2×#544C2212yes—
58C2×#543C2214yes—
59C2×#533C2211yescharacteristic
60C2×#533C2211yescharacteristic
61C2×#533C2211yescharacteristic, complemented
62C2×#533C2212yescomplemented
63C2×#529C2212yescomplemented
64C2×#529C2214yescomplemented
65C22×C22⋊Q8C2212yes—
66C22×C22⋊Q8C2212yes—
67C2×#518C2212yes—
68C2×C4×#41C2211yescharacteristic
69C2×C4×#41C2212yes—
70C2×C4×#41C2211yescharacteristic, complemented
71C22×C4×Q8C2212yescomplemented
72C22×C4×D4C2211yescharacteristic
73#2862C2211yescharacteristic, complemented
74#2857C2211yescharacteristic
75#2857C2211yescharacteristic, complemented
76#2855C2212yescomplemented
77#2855C2214yescomplemented
78#2851C2212yescomplemented
79#2850C2212yescomplemented
80#2847C2212yes—
81#2731C2214yescomplemented
82#2730C2214yes—
83#2730C2214yescomplemented
84#2730C2214yescomplemented
85#2729C2214yescomplemented
86#2728C2214yes—
87#2728C2214yescomplemented
88#2728C2214yescomplemented
89#2725C2214yescomplemented
90#2723C2214yes—
91#2723C2214yescomplemented
92#2723C2214yescomplemented
93#2719C2214yescomplemented
94#2719C2214yescomplemented
95#2702C2214yes—
96#2702C2214yescomplemented
97#2690C2214yes—
98#2690C2214yes—
99#2690C2214yescomplemented
100#2690C2214yescomplemented
101#2690C2214yescomplemented
102#2642C2212yescomplemented
103#2639C2214yescomplemented
104#2621C2212yes—
105#2617C2214yes—
106#2591C2214yescomplemented
107#2582C2211yescharacteristic, complemented
108#2581C2212yescomplemented
109#2579C2214yescomplemented
110#2568C2211yescharacteristic, complemented
111#2568C2212yescomplemented
112#2567C2211yescharacteristic, complemented
113#2565C2212yescomplemented
114#2564C2214yescomplemented
115#2563C2211yescharacteristic, complemented
116#2562C2212yescomplemented
117#2560C2214yes—
118#2560C2214yescomplemented
119#2550C2212yescomplemented
120#2547C2211yescharacteristic
121#2547C2212yes—
122#2543C2214yes—
123#2537C2211yescharacteristic
124#2536C2212yes—
125#2536C2212yescomplemented
126#2535C2212yes—
127#2519C2214yescomplemented
128#2504C2212yescomplemented
129#2503C2212yescomplemented
130#2503C2214yescomplemented
131#2492C2212yescomplemented
132#2492C2212yescomplemented
133#2489C2212yes—
134#2489C2212yes—
135#2489C2212yescomplemented
136#2489C2212yescomplemented
137#2489C2212yescomplemented
138#2489C2214yescomplemented
139#2489C2212yescomplemented
140#2488C2214yescomplemented
141#2488C2214yescomplemented
142#2488C2214yescomplemented
143#2488C2214yescomplemented
144#2488C2214yescomplemented
145#2488C2214yescomplemented
146#2487C2212yescomplemented
147#2486C2214yes—
148#2486C2212yes—
149#2481C2214yescomplemented
150#2481C2214yescomplemented
151#2477C2214yes—
152#2477C2212yes—
153#2477C2214yescomplemented
154#2477C2214yescomplemented
155#2475C2212yescomplemented
156#2475C2214yescomplemented
157#2469C2214yescomplemented
158#2463C2212yes—
159#2463C2214yescomplemented
160#2460C2212yescomplemented
161#2453C2212yescomplemented
162#2453C2212yescomplemented
163#2453C2212yescomplemented
164#2452C2211yescharacteristic, complemented
165#2451C2212yescomplemented
166#2450C2214yescomplemented
167#2449C2214yescomplemented
168#2449C2214yescomplemented
169#2448C2212yescomplemented
170#2446C2214yescomplemented
171#2446C2212yescomplemented
172#2446C2214yescomplemented
173#2446C2211yescharacteristic, complemented
174#2442C2212yescomplemented
175#2442C2212yescomplemented
176#2442C2214yescomplemented
177#2441C2212yescomplemented
178#2441C2212yescomplemented
179#2439C2212yescomplemented
180#2439C2211yescharacteristic, complemented
181#2438C2214yescomplemented
182#2438C2214yescomplemented
183#2438C2214yescomplemented
184#2436C2212yescomplemented
185#2432C2211yescharacteristic, complemented
186#2427C2211yescharacteristic
187#2427C2212yes—
188#2427C2212yes—
189#2427C2212yes—
190#2426C2212yes—
191#2426C2212yescomplemented
192#2425C2214yes—
193#2425C2214yes—
194#2425C2214yes—
195#2421C2212yes—
196#2421C2214yes—
197#2421C2212yes—
198#2421C2214yes—
199#2421C2212yes—
200#2421C2211yescharacteristic
201#2421C2212yescomplemented
202#2421C2212yescomplemented
203#2421C2214yescomplemented
204#2421C2212yescomplemented
205#2421C2212yescomplemented
206#2421C2214yescomplemented
207#2421C2214yescomplemented
208#2421C2212yescomplemented
209#2421C2212yescomplemented
210#2421C2214yescomplemented
211#2417C2212yes—
212#2417C2212yescomplemented
213#2416C2212yes—
214#2415C2212yes—
215#2415C2212yes—
216#2415C2212yes—
217#2415C2211yescharacteristic
218#2415C2214yescomplemented
219#2412C2214yes—
220#2412C2214yes—
221#2412C2214yes—
222#2409C2212yescomplemented
223#2407C2211yescharacteristic
224#2407C2212yescomplemented
225#2398C2212yescomplemented
226C2×#400C2214yescomplemented
227#2392C2212yes—
228C2×#397C2214yes—
229#2369C2212yescomplemented
230#2368C2214yescomplemented
231#2367C2211yescharacteristic
232#2367C2212yes—
233#2365C2211yescharacteristic, complemented
234#2364C2212yes—
235#2363C2212yes—
236#2363C2211yescharacteristic
237#2362C2212yes—
238#2362C2212yescomplemented
239#2361C2214yes—
240#2361C2212yescomplemented
241#2360C2211yescharacteristic
242#2360C2212yescomplemented
243#2359C2212yes—
244#2359C2214yes—
245#2358C2214yes—
246#2358C2212yes—
247#2355C2211yescharacteristic, complemented
248#2354C2212yes—
249#2352C2211yescharacteristic
250#2352C2214yescomplemented
251#2352C2212yescomplemented
252#2351C2212yescomplemented
253#2351C2212yescomplemented
254#2349C2212yes—
255#2349C2211yescharacteristic
256D4×C4⋊C4C2211yescharacteristic
257D4×C4⋊C4C2212yes—
258#2342C2212yes—
259#2342C2214yes—
260Q8×C22⋊C4C2212yescomplemented
261Q8×C22⋊C4C2212yescomplemented
262Q8×C22⋊C4C2212yescomplemented
263#2339C2212yes—
264#2339C2212yes—
265#2339C2212yes—
266#2339C2211yescharacteristic
267#2339C2212yes—
268D4×C22⋊C4C2211yescharacteristic
269#2331C2212yescomplemented
270#2329C2214yescomplemented
271#2326C2212yes—
272#2325C2214yes—
273#2323C2212yes—
274#2321C2214yes—
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×#124C2211yescharacteristic
277C4×#124C2211yescharacteristic, complemented
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2212yescomplemented
280C4×C22⋊Q8C2212yescomplemented
281C4×C22⋊Q8C2211yescharacteristic, complemented
282C4×#123C2212yes—
283C4×#123C2214yes—
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2212yes—
287C4×#121C2212yes—
288C4×#120C2212yes—
289#2295C2211yescharacteristic, complemented
290C2×#391C2212yescomplemented
291C2×#389C2212yescomplemented
292#2290C2212yes—
293C2×#388C2214yes—
294C2×#387C2214yescomplemented
295C2×#382C2212yescomplemented
296C2×#380C2212yes—
297#2275C2212yes—
298C42×D4C2211yescharacteristic
299C42×D4C2211yescharacteristic
300C2×C4×C22⋊C4C2212yes—
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C23×Q8C2312yes—
305C23×Q8C2312yes—
306C23×D4C2311yescharacteristic
307C24×C4C2312yes—
308#557—28no—
309#556—28no—
310#556—216no—
311#554—216no—
312#554—216no—
313#554—232no—
314#554—28no—
315#554—216no—
316#554—28no—
317#552—216no—
318#552—232no—
319D4×Q8—216no—
320D4×Q8—28no—
321D4×Q8D4116yescomplemented
322#548—216no—
323#547—28no—
324#547—216no—
325#546—216no—
326#546—28no—
327#544—216no—
328#543—232no—
329#533—28no—
330#533—28no—
331#533—216no—
332#533—28no—
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2314yes—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2312yes—
342#529—216no—
343#529—232no—
344C2×#126C2314yes—
345C2×#126C2314yes—
346C2×#126C2314yes—
347C2×#125C2312yes—
348C2×#125C2314yes—
349C2×#125C2312yes—
350C2×#125C2312yes—
351C2×#125C2312yes—
352C2×#125C2314yes—
353C2×#125C2312yes—
354C2×#125C2312yes—
355C2×#125C2314yes—
356C2×#124C2312yes—
357C2×#124C2311yescharacteristic
358C2×#124C2312yes—
359C2×#124C2314yes—
360C2×#124C2311yescharacteristic
361C2×#123C2314yes—
362C2×#123C2312yes—
363C2×#123C2314yes—
364C2×#123C2314yes—
365C2×#123C2314yes—
366C2×C22⋊Q8—216no—
367C2×C22⋊Q8—216no—
368C2×C22⋊Q8C2314yes—
369C2×C22⋊Q8C2314yes—
370C2×C22⋊Q8C2314yes—
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2311yescharacteristic
374C2×C22⋊Q8C2311yescharacteristic
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2311yescharacteristic
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2314yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2314yes—
382C2×C22⋊Q8C2314yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2314yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2311yescharacteristic
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2312yes—
399C2×#121C2314yes—
400C2×#121C2314yes—
401C2×#121C2312yes—
402C2×#121C2311yescharacteristic
403C2×#121C2312yes—
404C2×#121C2312yes—
405C2×#121C2311yescharacteristic
406C2×#121C2312yes—
407C2×#120C2314yes—
408C2×#120C2312yes—
409#518—216no—
410C4×#41—28no—
411C4×#41—28no—
412C4×#41—216no—
413C2×C4×Q8—216no—
414C2×C4×Q8C2312yes—
415C2×C4×Q8C2311yescharacteristic
416C2×C4×Q8C2312yes—
417C2×C4×Q8C2311yescharacteristic
418C2×C4×Q8C2312yes—
419C2×C4×Q8C2312yes—
420C2×C4×Q8C2312yes—
421C2×C4×Q8C2311yescharacteristic
422C2×C4×Q8C2312yes—
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2311yescharacteristic
425C2×C4×Q8C2314yes—
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2314yes—
428C2×C4×Q8C2312yes—
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2311yescharacteristic
431C2×C4×D4—28no—
432C2×C4×D4C2312yes—
433C2×C4×D4C2311yescharacteristic
434C2×C4×D4C2314yes—
435C2×C4×D4C2314yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2311yescharacteristic
438C2×C4×D4C2311yescharacteristic
439C2×C4×D4C2312yes—
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2312yes—
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2312yes—
445C2×C4×D4C2314yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2314yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2311yescharacteristic
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2314yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2312yes—
462C2×#117C2312yes—
463C2×#117C2314yes—
464C2×#117C2312yes—
465C2×#117C2311yescharacteristic
466C2×#117C2311yescharacteristic
467C2×#117C2314yes—
468C2×#117C2312yes—
469C2×#117C2312yes—
470C2×#117C2312yes—
471C2×#117C2312yes—
472C22×C4⋊C4C2314yes—
473C22×C4⋊C4C2311yescharacteristic
474C22×C4⋊C4C2312yes—
475C22×C4⋊C4C2314yes—
476C22×C4⋊C4C2314yes—
477C22×C4⋊C4C2312yes—
478C22×C4⋊C4C2312yes—
479C22×C4⋊C4C2312yes—
480C22×C4⋊C4C2314yes—
481C22×C22⋊C4C2314yes—
482C22×C22⋊C4C2312yes—
483C22×C22⋊C4C2314yes—
484C22×C22⋊C4C2312yes—
485C22×C22⋊C4C2314yes—
486C22×C22⋊C4C2312yes—
487C22×C42C2312yes—
488C22×C42C2312yes—
489C22×C42C2314yes—
490C22×C42C2311yescharacteristic
491C22×C42C2311yescharacteristic
492C22×C42C2312yes—
493#400C2314yes—
494#400C2314yes—
495#400C2314yes—
496#400C2314yes—
497#400C2314yes—
498#400C2314yes—
499#400C2314yes—
500#400C2314yes—
501#400C2314yes—
502#400C2314yes—
503#400C2312yes—
504#400C2314yes—
505#400C2314yes—
506#400C2314yes—
507#400C2314yes—
508#400C2312yes—
509#400C2314yes—
510#400C2314yes—
511#400C2314yes—
512#399C2314yes—
513#399C2314yes—
514#398C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2314yes—
518#398C2314yes—
519#398C2314yes—
520#398C2314yes—
521#398C2312yes—
522#398C2314yes—
523#398C2314yes—
524#397C2314yes—
525#397C2314yes—
526#397C2314yes—
527#397C2314yes—
528#397C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2312yes—
532#397C2314yes—
533#397C2314yes—
534#397C2314yes—
535#397C2314yes—
536#397C2312yes—
537#397C2312yes—
538#397C2314yes—
539#397C2314yes—
540#397C2314yes—
541#397C2314yes—
542#396C2314yes—
543#396C2314yes—
544#396C2312yes—
545#396C2312yes—
546#396C2314yes—
547#396C2314yes—
548#395C2314yes—
549#395C2314yes—
550#395C2314yes—
551#394C2312yes—
552#394C2314yes—
553#394C2314yes—
554#394C2312yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2312yes—
560#394C2312yes—
561#394C2312yes—
562#394C2314yes—
563#393C2314yes—
564#393C2314yes—
565#393C2314yes—
566#393C2314yes—
567#393C2312yes—
568#393C2312yes—
569#392C2312yes—
570#392C2314yes—
571#391C2314yes—
572#391C2314yes—
573#391C2312yes—
574#391C2312yes—
575#391C2312yes—
576#391C2312yes—
577#391C2312yes—
578#391C2311yescharacteristic
579#391C2312yes—
580#391C2312yes—
581#391C2312yes—
582#391C2312yes—
583#391C2314yes—
584#391C2312yes—
585#391C2312yes—
586#391C2314yes—
587#391C2314yes—
588#391C2314yes—
589#391C2311yescharacteristic
590#391C2311yescharacteristic
591#391C2311yescharacteristic
592#391C2311yescharacteristic
593#391C2314yes—
594#391C2314yes—
595#391C2312yes—
596#391C2312yes—
597#391C2312yes—
598#391C2312yes—
599#391C2312yes—
600#391C2314yes—
601#391C2311yescharacteristic
602#391C2312yes—
603#390C2314yes—
604#390C2314yes—
605#390C2312yes—
606#390C2311yescharacteristic
607#390C2311yescharacteristic
608#390C2312yes—
609#390C2311yescharacteristic
610#390C2311yescharacteristic
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2314yes—
617#389C2311yescharacteristic
618#389C2312yes—
619#389C2314yes—
620#389C2312yes—
621#389C2312yes—
622#389C2311yescharacteristic
623#389C2312yes—
624#389C2312yes—
625#389C2314yes—
626#389C2314yes—
627#389C2312yes—
628#389C2312yes—
629#389C2311yescharacteristic
630#389C2314yes—
631#389C2314yes—
632#389C2312yes—
633#389C2311yescharacteristic
634#389C2312yes—
635#389C2314yes—
636#389C2311yescharacteristic
637#389C2314yes—
638#389C2311yescharacteristic
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2312yes—
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#388C2312yes—
657#388C2314yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2314yes—
664#388C2312yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2312yes—
670#388C2314yes—
671#388C2312yes—
672#388C2312yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2312yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2312yes—
689#387C2314yes—
690#387C2312yes—
691#387C2314yes—
692#387C2312yes—
693#387C2312yes—
694#387C2312yes—
695#387C2312yes—
696#387C2312yes—
697#387C2314yes—
698#387C2314yes—
699#387C2312yes—
700#387C2312yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2312yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2312yes—
711#386C2314yes—
712#386C2314yes—
713#386C2312yes—
714#386C2314yes—
715#386C2314yes—
716#386C2312yes—
717#386C2312yes—
718#386C2314yes—
719#386C2312yes—
720#386C2314yes—
721#386C2312yes—
722#386C2312yes—
723#386C2314yes—
724#386C2312yes—
725#386C2314yes—
726#386C2312yes—
727#385C2312yes—
728#385C2314yes—
729#385C2314yes—
730#385C2312yes—
731#385C2312yes—
732#385C2312yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2312yes—
740#385C2312yes—
741#385C2314yes—
742#385C2312yes—
743#385C2314yes—
744#385C2312yes—
745#385C2312yes—
746#385C2312yes—
747#384C2311yescharacteristic
748#384C2312yes—
749#382C2312yes—
750#382C2311yescharacteristic
751#382C2314yes—
752#382C2312yes—
753#382C2312yes—
754#382C2312yes—
755#382C2312yes—
756#382C2314yes—
757#382C2314yes—
758#382C2311yescharacteristic
759#382C2314yes—
760#382C2314yes—
761#381C2312yes—
762#381C2314yes—
763#381C2314yes—
764#381C2314yes—
765#381C2314yes—
766#380C2311yescharacteristic
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2314yes—
773#380C2311yescharacteristic
774#380C2314yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2314yes—
780#380C2314yes—
781#380C2312yes—
782#380C2312yes—
783#380C2312yes—
784#380C2314yes—
785#380C2311yescharacteristic
786#380C2312yes—
787#380C2314yes—
788#380C2314yes—
789#380C2311yescharacteristic
790#380C2314yes—
791#379C2312yes—
792C4×C4⋊C4C2314yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2314yes—
804C4×C4⋊C4C2314yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2314yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2314yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2311yescharacteristic
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2311yescharacteristic
833C4×C22⋊C4C2311yescharacteristic
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2311yescharacteristic
836C4×C22⋊C4C2312yes—
837#376C2312yes—
838C2×#95C2314yes—
839C2×#95C2314yes—
840C2×#95C2312yes—
841C2×#95C2314yes—
842C2×#95C2314yes—
843C2×#95C2314yes—
844C2×#95C2314yes—
845C2×#95C2312yes—
846C43C2311yescharacteristic
847C25C2412yes—
848C2×#41—24no—
849C2×#41—24no—
850C2×#41—28no—
851C2×#41—28no—
852C2×#41—24no—
853C2×#41—28no—
854C2×#41—24no—
855C2×#41—42no—
856C2×#41—42no—
857C22×Q8—28no—
858C22×Q8—44no—
859C22×Q8—44no—
860C22×Q8—44no—
861C22×Q8—44no—
862C22×Q8C2×D4116yes—
863C22×Q8C2412yes—
864C22×Q8C2411yescharacteristic
865C22×Q8C2411yescharacteristic
866C22×Q8C2412yes—
867C22×Q8C2411yescharacteristic
868C22×Q8C2412yes—
869C22×Q8C2412yes—
870C22×Q8C2414yes—
871C22×Q8C2414yes—
872C22×D4—24no—
873C22×D4—24no—
874C22×D4#4118yescomplemented
875C22×D4C2414yes—
876C22×D4C2412yes—
877C22×D4C2411yescharacteristic
878C22×D4C2412yes—
879C22×D4C2411yescharacteristic
880C22×D4C2411yescharacteristic
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2414yes—
884C22×D4C2412yes—
885C22×D4C2411yescharacteristic
886C23×C4—28no—
887C23×C4—44no—
888C23×C4—44no—
889C23×C4C2412yes—
890C23×C4C2414yes—
891C23×C4C2412yes—
892C23×C4C2411yescharacteristic
893C23×C4C2411yescharacteristic
894C23×C4C2412yes—
895C23×C4C2411yescharacteristic
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2411yescharacteristic
899C23×C4C2412yes—
900C23×C4C2411yescharacteristic
901C23×C4C2411yescharacteristic
902C23×C4C2414yes—
903C23×C4C2414yes—
904C23×C4C2414yes—
905C23×C4C2414yes—
906C23×C4C2412yes—
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2412yes—
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2414yes—
913C4⋊Q8—24no—
914C4⋊Q8—216no—
915C4⋊Q8—24no—
916C4⋊Q8—28no—
917C4⋊Q8—24no—
918C4⋊Q8—28no—
919C4⋊Q8—24no—
920C4⋊Q8C2×D418yes—
921C4⋊Q8C2×D4116yes—
922#126—216no—
923#126—216no—
924#126—216no—
925#125—28no—
926#125—216no—
927#125—216no—
928#125—28no—
929#125—28no—
930#125—28no—
931#125—216no—
932#125—28no—
933#125—28no—
934#124—28no—
935#124—216no—
936#124—28no—
937#124—24no—
938#124—42no—
939#123—216no—
940#123—28no—
941#123—216no—
942#123—216no—
943#123—216no—
944C22⋊Q8—24no—
945C22⋊Q8—28no—
946C22⋊Q8—216no—
947C22⋊Q8—28no—
948C22⋊Q8—28no—
949C22⋊Q8—216no—
950C22⋊Q8—28no—
951C22⋊Q8—216no—
952C22⋊Q8—216no—
953C22⋊Q8—28no—
954C22⋊Q8—216no—
955C22⋊Q8—28no—
956C22⋊Q8—24no—
957C22⋊Q8—24no—
958C22⋊Q8—216no—
959C22⋊Q8—28no—
960C22⋊Q8—28no—
961C22⋊Q8—28no—
962C22⋊Q8—28no—
963C22⋊Q8—28no—
964C22⋊Q8—216no—
965C22⋊Q8—216no—
966C22⋊Q8—216no—
967C22⋊Q8—216no—
968C22⋊Q8—216no—
969C22⋊Q8—216no—
970C22⋊Q8—44no—
971C22⋊Q8—44no—
972C22⋊Q8—42no—
973C22⋊Q8C2×D4116yes—
974C22⋊Q8C2×D4132yes—
975#121—24no—
976#121—28no—
977#121—216no—
978#121—28no—
979#121—28no—
980#121—216no—
981#121—44no—
982#121—42no—
983#120—28no—
984#120—216no—
985C4×Q8—24no—
986C4×Q8—28no—
987C4×Q8—216no—
988C4×Q8—28no—
989C4×Q8—28no—
990C4×Q8—216no—
991C4×Q8—28no—
992C4×Q8—24no—
993C4×Q8—28no—
994C4×Q8—28no—
995C4×Q8—24no—
996C4×Q8—28no—
997C4×Q8—24no—
998C4×Q8—28no—
999C4×Q8—44no—
1000C4×Q8—44no—
1001C4×Q8C2×D418yes—
1002C4×D4—24no—
1003C4×D4—24no—
1004C4×D4—28no—
1005C4×D4—28no—
1006C4×D4—24no—
1007C4×D4—24no—
1008C4×D4—28no—
1009C4×D4—28no—
1010C4×D4—216no—
1011C4×D4—216no—
1012C4×D4—24no—
1013C4×D4—28no—
1014C4×D4—24no—
1015C4×D4—24no—
1016C4×D4—28no—
1017C4×D4—28no—
1018C4×D4—28no—
1019C4×D4—216no—
1020C4×D4—28no—
1021C4×D4—216no—
1022C4×D4—24no—
1023C4×D4—24no—
1024C4×D4—28no—
1025C4×D4—28no—
1026C4×D4—44no—
1027C4×D4—42no—
1028C4×D4—42no—
1029C4×D4—48no—
1030C4×D4C2×D418yes—
1031C4×D4C2×D4116yes—
1032#117—24no—
1033#117—28no—
1034#117—24no—
1035#117—28no—
1036#117—28no—
1037#117—216no—
1038#117—28no—
1039#117—28no—
1040#117—216no—
1041#117—28no—
1042C2×C4⋊C4—28no—
1043C2×C4⋊C4—216no—
1044C2×C4⋊C4—216no—
1045C2×C4⋊C4—28no—
1046C2×C4⋊C4—24no—
1047C2×C4⋊C4—216no—
1048C2×C4⋊C4—28no—
1049C2×C4⋊C4—48no—
1050C2×C4⋊C4—44no—
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C22⋊C4—28no—
1116C2×C22⋊C4—216no—
1117C2×C22⋊C4—216no—
1118C2×C22⋊C4—28no—
1119C2×C22⋊C4—216no—
1120C2×C22⋊C4—44no—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2411yescharacteristic
1125C2×C22⋊C4C2411yescharacteristic
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2411yescharacteristic
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2411yescharacteristic
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2411yescharacteristic
1161C2×C22⋊C4C2411yescharacteristic
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2414yes—
1178C2×C42—28no—
1179C2×C42—216no—
1180C2×C42—24no—
1181C2×C42—24no—
1182C2×C42—28no—
1183C2×C42—44no—
1184C2×C42C2412yes—
1185C2×C42C2411yescharacteristic
1186C2×C42C2412yes—
1187C2×C42C2414yes—
1188C2×C42C2412yes—
1189C2×C42C2414yes—
1190C2×C42C2412yes—
1191C2×C42C2414yes—
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194C2×C42C2411yescharacteristic
1195C2×C42C2411yescharacteristic
1196C2×C42C2412yes—
1197C2×C42C2412yes—
1198C2×C42C2414yes—
1199C2×C42C2411yescharacteristic
1200C2×C42C2411yescharacteristic
1201C2×C42C2412yes—
1202C2×C42C2411yescharacteristic
1203C2×C42C2412yes—
1204C2×C42C2411yescharacteristic
1205C2×C42C2411yescharacteristic
1206C2×C42C2411yescharacteristic
1207C2×C42C2414yes—
1208C2×C42C2414yes—
1209C2×C42C2414yes—
1210C2×C42C2411yescharacteristic
1211C2×C42C2412yes—
1212C2×C42C2412yes—
1213C2×C42C2412yes—
1214C2×C42C2411yescharacteristic
1215#95C2412yes—
1216#95C2411yescharacteristic
1217#95C2411yescharacteristic
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2414yes—
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#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2411yescharacteristic
1252#95C2411yescharacteristic
1253#95C2412yes—
1254#95C2411yescharacteristic
1255#95C2411yescharacteristic
1256#95C2412yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2412yes—
1264#95C2414yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2412yes—
1273#95C2414yes—
1274#95C2412yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281C24—24no—
1282C24—24no—
1283C24—42no—
1284C24—42no—
1285C24—42no—
1286C24—42no—
1287C24C2×#4118yes—
1288C24C2511yescharacteristic
1289C24C2512yes—
1290C24C2511yescharacteristic
1291C24C2512yes—
1292C24C2512yes—
1293#41—416no—
1294#41—416no—
1295#41—432no—
1296C2×Q8—22no—
1297C2×Q8—24no—
1298C2×Q8—22no—
1299C2×Q8—24no—
1300C2×Q8—24no—
1301C2×Q8—28no—
1302C2×Q8—24no—
1303C2×Q8—22no—
1304C2×Q8—24no—
1305C2×Q8—22no—
1306C2×Q8—24no—
1307C2×Q8—24no—
1308C2×Q8—22no—
1309C2×Q8—22no—
1310C2×Q8—22no—
1311C2×Q8—22no—
1312C2×Q8—44no—
1313C2×Q8—44no—
1314C2×Q8—42no—
1315C2×Q8—42no—
1316C2×Q8—44no—
1317C2×Q8—44no—
1318C2×Q8—42no—
1319C2×Q8—42no—
1320C2×Q8—432no—
1321C2×Q8—816no—
1322C2×Q8C22×D414yes—
1323C2×Q8C22×D418yes—
1324C2×Q8C22×D4116yes—
1325C2×D4—24no—
1326C2×D4—24no—
1327C2×D4—232no—
1328C2×D4—24no—
1329C2×D4—28no—
1330C2×D4—22no—
1331C2×D4—24no—
1332C2×D4—28no—
1333C2×D4—28no—
1334C2×D4—24no—
1335C2×D4—24no—
1336C2×D4—28no—
1337C2×D4—24no—
1338C2×D4—22no—
1339C2×D4—24no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—42no—
1347C2×D4—42no—
1348C2×D4—42no—
1349C2×D4—44no—
1350C2×D4—42no—
1351C2×D4—44no—
1352C2×D4—42no—
1353C2×D4—42no—
1354C2×D4C22×D414yes—
1355C2×D4C2×#4118yes—
1356C2×D4C2×#4114yes—
1357C2×D4C2×#4114yes—
1358C2×D42−1+414yes—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—24no—
1362C22×C4—24no—
1363C22×C4—24no—
1364C22×C4—24no—
1365C22×C4—28no—
1366C22×C4—24no—
1367C22×C4—28no—
1368C22×C4—24no—
1369C22×C4—28no—
1370C22×C4—28no—
1371C22×C4—24no—
1372C22×C4—28no—
1373C22×C4—24no—
1374C22×C4—24no—
1375C22×C4—22no—
1376C22×C4—24no—
1377C22×C4—24no—
1378C22×C4—22no—
1379C22×C4—24no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—24no—
1383C22×C4—22no—
1384C22×C4—24no—
1385C22×C4—22no—
1386C22×C4—24no—
1387C22×C4—24no—
1388C22×C4—24no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—24no—
1394C22×C4—22no—
1395C22×C4—24no—
1396C22×C4—22no—
1397C22×C4—28no—
1398C22×C4—28no—
1399C22×C4—24no—
1400C22×C4—24no—
1401C22×C4—41no—
1402C22×C4—42no—
1403C22×C4—42no—
1404C22×C4—44no—
1405C22×C4—44no—
1406C22×C4—42no—
1407C22×C4—42no—
1408C22×C4—42no—
1409C22×C4—42no—
1410C22×C4—42no—
1411C22×C4—44no—
1412C22×C4—44no—
1413C22×C4—44no—
1414C22×C4—44no—
1415C22×C4—41no—
1416C22×C4—42no—
1417C22×C4—42no—
1418C22×C4—42no—
1419C22×C4—42no—
1420C22×C4—42no—
1421C22×C4—42no—
1422C22×C4—41no—
1423C22×C4—44no—
1424C22×C4—42no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4—44no—
1428C22×C4—816no—
1429C22×C4C22×D418yes—
1430C22×C4C22×D4116yes—
1431C22×C4C2×#4114yes—
1432C22×C4C2511yescharacteristic
1433C22×C4C2511yescharacteristic
1434C22×C4C2512yes—
1435C22×C4C2511yescharacteristic
1436C22×C4C2512yes—
1437C22×C4C2512yes—
1438C22×C4C2514yes—
1439C22×C4C2512yes—
1440C22×C4C2511yescharacteristic
1441C22×C4C2512yes—
1442C22×C4C2511yescharacteristic
1443C22×C4C2512yes—
1444C22×C4C2514yes—
1445C22×C4C2511yescharacteristic
1446C22×C4C2512yes—
1447C22×C4C2512yes—
1448C22×C4C2511yescharacteristic
1449C22×C4C2514yes—
1450C22×C4C2512yes—
1451C22×C4C2511yescharacteristic
1452C22×C4C2512yes—
1453C22×C4C2512yes—
1454C22×C4C2511yescharacteristic
1455C22×C4C2514yes—
1456C22×C4C2512yes—
1457C22×C4C2512yes—
1458C22×C4C2511yescharacteristic
1459C22×C4C2511yescharacteristic
1460C22×C4C2511yescharacteristic
1461C22×C4C2511yescharacteristic
1462C4⋊C4—24no—
1463C4⋊C4—22no—
1464C4⋊C4—24no—
1465C4⋊C4—28no—
1466C4⋊C4—24no—
1467C4⋊C4—22no—
1468C4⋊C4—24no—
1469C4⋊C4—24no—
1470C4⋊C4—22no—
1471C4⋊C4—28no—
1472C4⋊C4—24no—
1473C4⋊C4—28no—
1474C4⋊C4—28no—
1475C4⋊C4—28no—
1476C4⋊C4—28no—
1477C4⋊C4—28no—
1478C4⋊C4—28no—
1479C4⋊C4—28no—
1480C4⋊C4—28no—
1481C4⋊C4—22no—
1482C4⋊C4—24no—
1483C4⋊C4—24no—
1484C4⋊C4—24no—
1485C4⋊C4—28no—
1486C4⋊C4—24no—
1487C4⋊C4—24no—
1488C4⋊C4—28no—
1489C4⋊C4—24no—
1490C4⋊C4—28no—
1491C4⋊C4—28no—
1492C4⋊C4—24no—
1493C4⋊C4—24no—
1494C4⋊C4—22no—
1495C4⋊C4—24no—
1496C4⋊C4—24no—
1497C4⋊C4—22no—
1498C4⋊C4—24no—
1499C4⋊C4—28no—
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—24no—
1503C4⋊C4—28no—
1504C4⋊C4—24no—
1505C4⋊C4—22no—
1506C4⋊C4—22no—
1507C4⋊C4—44no—
1508C4⋊C4—44no—
1509C4⋊C4—44no—
1510C4⋊C4—42no—
1511C4⋊C4—42no—
1512C4⋊C4—44no—
1513C4⋊C4—42no—
1514C4⋊C4—41no—
1515C4⋊C4—44no—
1516C4⋊C4—44no—
1517C4⋊C4—42no—
1518C4⋊C4—42no—
1519C4⋊C4—42no—
1520C4⋊C4C22×D414yes—
1521C4⋊C4C22×D414yes—
1522C4⋊C4C22×D4116yes—
1523C4⋊C4C22×D418yes—
1524C4⋊C4C22×D418yes—
1525C4⋊C4C22×D418yes—
1526C22⋊C4—24no—
1527C22⋊C4—28no—
1528C22⋊C4—24no—
1529C22⋊C4—22no—
1530C22⋊C4—24no—
1531C22⋊C4—24no—
1532C22⋊C4—28no—
1533C22⋊C4—28no—
1534C22⋊C4—24no—
1535C22⋊C4—24no—
1536C22⋊C4—28no—
1537C22⋊C4—28no—
1538C22⋊C4—24no—
1539C22⋊C4—24no—
1540C22⋊C4—28no—
1541C22⋊C4—24no—
1542C22⋊C4—24no—
1543C22⋊C4—28no—
1544C22⋊C4—24no—
1545C22⋊C4—24no—
1546C22⋊C4—28no—
1547C22⋊C4—28no—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—24no—
1551C22⋊C4—24no—
1552C22⋊C4—28no—
1553C22⋊C4—24no—
1554C22⋊C4—28no—
1555C22⋊C4—28no—
1556C22⋊C4—28no—
1557C22⋊C4—22no—
1558C22⋊C4—24no—
1559C22⋊C4—22no—
1560C22⋊C4—24no—
1561C22⋊C4—42no—
1562C22⋊C4—42no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4—44no—
1566C22⋊C4—42no—
1567C22⋊C4—41no—
1568C22⋊C4—41no—
1569C22⋊C4—42no—
1570C22⋊C4—42no—
1571C22⋊C4—44no—
1572C22⋊C4—41no—
1573C22⋊C4—42no—
1574C22⋊C4—44no—
1575C22⋊C4—42no—
1576C22⋊C4—44no—
1577C22⋊C4—42no—
1578C22⋊C4—42no—
1579C22⋊C4—42no—
1580C22⋊C4—42no—
1581C22⋊C4C22×D4116yes—
1582C22⋊C4C22×D418yes—
1583C42—24no—
1584C42—22no—
1585C42—22no—
1586C42—22no—
1587C42—24no—
1588C42—28no—
1589C42—24no—
1590C42—28no—
1591C42—24no—
1592C42—22no—
1593C42—22no—
1594C42—22no—
1595C42—28no—
1596C42—24no—
1597C42—28no—
1598C42—24no—
1599C42—22no—
1600C42—24no—
1601C42—22no—
1602C42—22no—
1603C42—24no—
1604C42—22no—
1605C42—42no—
1606C42—42no—
1607C42—41no—
1608C42—44no—
1609C42—41no—
1610C42—44no—
1611C42—44no—
1612C42C22×D414yes—
1613C42C22×D418yes—
1614C23—22no—
1615C23—22no—
1616C23—22no—
1617C23—22no—
1618C23—21no—
1619C23—22no—
1620C23—21no—
1621C23—22no—
1622C23—21no—
1623C23—22no—
1624C23—22no—
1625C23—21no—
1626C23—22no—
1627C23—21no—
1628C23—22no—
1629C23—21no—
1630C23—216no—
1631C23—21no—
1632C23—22no—
1633C23—21no—
1634C23—22no—
1635C23—21no—
1636C23—22no—
1637C23—21no—
1638C23—22no—
1639C23—21no—
1640C23—22no—
1641C23—21no—
1642C23—22no—
1643C23—22no—
1644C23—21no—
1645C23—48no—
1646C23—48no—
1647C23—84no—
1648C23—84no—
1649C23—84no—
1650C23—84no—
1651C23C23×D414yes—
1652C23C22×#4112yes—
1653C23C22×#4114yes—
1654C23C22×#4114yes—
1655C23C2×2−1+414yes—
1656C23C2611yescharacteristic
1657Q8—28no—
1658Q8—216no—
1659Q8—416no—
1660Q8—44no—
1661Q8—48no—
1662Q8—44no—
1663Q8—84no—
1664Q8—84no—
1665Q8—88no—
1666D4—216no—
1667D4—28no—
1668D4—48no—
1669D4—44no—
1670D4—48no—
1671D4—416no—
1672D4—44no—
1673D4—84no—
1674D4—84no—
1675D4—88no—
1676D4#548116yes—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—24no—
1684C2×C4—24no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—21no—
1691C2×C4—28no—
1692C2×C4—216no—
1693C2×C4—22no—
1694C2×C4—21no—
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—24no—
1699C2×C4—22no—
1700C2×C4—21no—
1701C2×C4—24no—
1702C2×C4—22no—
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—22no—
1714C2×C4—24no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—22no—
1718C2×C4—21no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—24no—
1722C2×C4—21no—
1723C2×C4—22no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—21no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—24no—
1733C2×C4—24no—
1734C2×C4—21no—
1735C2×C4—24no—
1736C2×C4—22no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—24no—
1755C2×C4—21no—
1756C2×C4—416no—
1757C2×C4—48no—
1758C2×C4—44no—
1759C2×C4—48no—
1760C2×C4—48no—
1761C2×C4—48no—
1762C2×C4—416no—
1763C2×C4—44no—
1764C2×C4—48no—
1765C2×C4—44no—
1766C2×C4—48no—
1767C2×C4—44no—
1768C2×C4—88no—
1769C2×C4—82no—
1770C2×C4—84no—
1771C2×C4—84no—
1772C2×C4—88no—
1773C2×C4—84no—
1774C2×C4—88no—
1775C2×C4—84no—
1776C2×C4—88no—
1777C2×C4—84no—
1778C2×C4C23×D414yes—
1779C2×C4C23×D418yes—
1780C2×C4C23×D412yes—
1781C2×C4C23×D414yes—
1782C2×C4C23×D414yes—
1783C2×C4C23×D412yes—
1784C2×C4C23×D412yes—
1785C2×C4C22×#4112yes—
1786C2×C4C22×#4112yes—
1787C2×C4C2×2−1+412yes—
1788C2×C4#58512yes—
1789C2×C4#58512yes—
1790C2×C4#58512yes—
1791C22—24no—
1792C22—24no—
1793C22—24no—
1794C22—24no—
1795C22—24no—
1796C22—24no—
1797C22—22no—
1798C22—24no—
1799C22—22no—
1800C22—24no—
1801C22—22no—
1802C22—24no—
1803C22—42no—
1804C22—41no—
1805C22—42no—
1806C22—41no—
1807C22—42no—
1808C22—41no—
1809C22—42no—
1810C22—41no—
1811C22—41no—
1812C22—42no—
1813C22—41no—
1814C22—42no—
1815C22—41no—
1816C22—42no—
1817C22—42no—
1818C22—41no—
1819C22—41no—
1820C22—42no—
1821C22—41no—
1822C22—42no—
1823C22—41no—
1824C22—42no—
1825C22—816no—
1826C22C2×#54818yes—
1827C22C24×D411yescharacteristic
1828C22C23×#4111yescharacteristic
1829C22C22×2−1+411yescharacteristic
1830C22C2×#58511yescharacteristic
1831C22C2×#58511yescharacteristic
1832C22C2×#58511yescharacteristic
1833C222−1+611yescharacteristic
1834C4—22no—
1835C4—24no—
1836C4—22no—
1837C4—24no—
1838C4—24no—
1839C4—28no—
1840C4—22no—
1841C4—41no—
1842C4—42no—
1843C4—42no—
1844C4—42no—
1845C4—44no—
1846C4—42no—
1847C4—41no—
1848C4—42no—
1849C4—41no—
1850C4—41no—
1851C4—41no—
1852C4—42no—
1853C4—42no—
1854C4—42no—
1855C4—44no—
1856C4—41no—
1857C4—41no—
1858C4—42no—
1859C4—41no—
1860C4—44no—
1861C4—42no—
1862C4C2×#54814yes—
1863C4#348514yes—
1864C2—28no—
1865C2—44no—
1866C2—42no—
1867C2—81no—
1868C2—82no—
1869C2C22×#54811yescharacteristic
1870C2C2×#348511yescharacteristic
1871C2#6278111yescharacteristic
1872C2#6295011yescharacteristic
1873C2#6299111yescharacteristic
1874C2#6300211yescharacteristic
1875C2#6302511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#3501C2semidirect
2. C2×#3482C2semidirect
3. #59421C2semidirect
4. #59317C2semidirect
5. #59079C2semidirect
6. #59077C2semidirect
7. #59076C2semidirect
8. #59065C2semidirect
9. #59042C2semidirect
10. #59014C2semidirect
11. #45142C2semidirect
12. #45098C2semidirect
13. #43532C2semidirect
14. #43493C2semidirect
15. #39724C2semidirect
16. #39723C2semidirect
17. #39173C2semidirect
18. #39166C2semidirect
19. #37757C2semidirect
20. #37754C2semidirect
21. #36492C2semidirect
22. #36482C2semidirect
23. #36275C2semidirect
24. #36219C2semidirect
25. #36164C2semidirect
26. #36153C2semidirect
27. #36151C2semidirect
28. #36108C2semidirect
29. #36042C2semidirect
30. #36009C2semidirect
31. #34720C2semidirect
32. C2×#2421C2semidirect
33. #34334C2semidirect
34. #34292C2semidirect
35. C4×#546C2semidirect
38. C2×#557C22semidirect
39. C2×#556C22semidirect
40. C2×#556C22semidirect
47. C2×#552C22semidirect
48. C2×#552C22semidirect
52. C2×#548C22semidirect
61. C2×#533C22semidirect
62. C2×#533C22semidirect
63. C2×#529C22semidirect
64. C2×#529C22semidirect
70. C2×C4×#41C22semidirect
71. C22×C4×Q8C22semidirect
73. #2862C22semidirect
75. #2857C22semidirect
76. #2855C22semidirect
77. #2855C22semidirect
78. #2851C22semidirect
79. #2850C22semidirect
81. #2731C22semidirect
83. #2730C22semidirect
84. #2730C22semidirect
85. #2729C22semidirect
87. #2728C22semidirect
88. #2728C22semidirect
89. #2725C22semidirect
91. #2723C22semidirect
92. #2723C22semidirect
93. #2719C22semidirect
94. #2719C22semidirect
96. #2702C22semidirect
99. #2690C22semidirect
100. #2690C22semidirect
101. #2690C22semidirect
102. #2642C22semidirect
103. #2639C22semidirect
106. #2591C22semidirect
107. #2582C22semidirect
108. #2581C22semidirect
109. #2579C22semidirect
110. #2568C22semidirect
111. #2568C22semidirect
112. #2567C22semidirect
113. #2565C22semidirect
114. #2564C22semidirect
115. #2563C22semidirect
116. #2562C22semidirect
118. #2560C22semidirect
119. #2550C22semidirect
125. #2536C22semidirect
127. #2519C22semidirect
128. #2504C22semidirect
129. #2503C22semidirect
130. #2503C22semidirect
131. #2492C22semidirect
132. #2492C22semidirect
135. #2489C22semidirect
136. #2489C22semidirect
137. #2489C22semidirect
138. #2489C22semidirect
139. #2489C22semidirect
140. #2488C22semidirect
141. #2488C22semidirect
142. #2488C22semidirect
143. #2488C22semidirect
144. #2488C22semidirect
145. #2488C22semidirect
146. #2487C22semidirect
149. #2481C22semidirect
150. #2481C22semidirect
153. #2477C22semidirect
154. #2477C22semidirect
155. #2475C22semidirect
156. #2475C22semidirect
157. #2469C22semidirect
159. #2463C22semidirect
160. #2460C22semidirect
161. #2453C22semidirect
162. #2453C22semidirect
163. #2453C22semidirect
164. #2452C22semidirect
165. #2451C22semidirect
166. #2450C22semidirect
167. #2449C22semidirect
168. #2449C22semidirect
169. #2448C22semidirect
170. #2446C22semidirect
171. #2446C22semidirect
172. #2446C22semidirect
173. #2446C22semidirect
174. #2442C22semidirect
175. #2442C22semidirect
176. #2442C22semidirect
177. #2441C22semidirect
178. #2441C22semidirect
179. #2439C22semidirect
180. #2439C22semidirect
181. #2438C22semidirect
182. #2438C22semidirect
183. #2438C22semidirect
184. #2436C22semidirect
185. #2432C22semidirect
191. #2426C22semidirect
201. #2421C22semidirect
202. #2421C22semidirect
203. #2421C22semidirect
204. #2421C22semidirect
205. #2421C22semidirect
206. #2421C22semidirect
207. #2421C22semidirect
208. #2421C22semidirect
209. #2421C22semidirect
210. #2421C22semidirect
212. #2417C22semidirect
218. #2415C22semidirect
222. #2409C22semidirect
224. #2407C22semidirect
225. #2398C22semidirect
226. C2×#400C22semidirect
229. #2369C22semidirect
230. #2368C22semidirect
233. #2365C22semidirect
238. #2362C22semidirect
240. #2361C22semidirect
242. #2360C22semidirect
247. #2355C22semidirect
250. #2352C22semidirect
251. #2352C22semidirect
252. #2351C22semidirect
253. #2351C22semidirect
260. Q8×C22⋊C4C22semidirect
261. Q8×C22⋊C4C22semidirect
262. Q8×C22⋊C4C22semidirect
269. #2331C22semidirect
270. #2329C22semidirect
275. C4×C4⋊Q8C22semidirect
277. C4×#124C22semidirect
279. C4×C22⋊Q8C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×C22⋊Q8C22semidirect
289. #2295C22semidirect
290. C2×#391C22semidirect
291. C2×#389C22semidirect
294. C2×#387C22semidirect
295. C2×#382C22semidirect
321. D4×Q8D4semidirect
874. C22×D4#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35012
C2×#34822
#594212
#593172
#590792
#590772
#590762
#590652
#590422
#590142
#451422
#450982
#435322
#434932
#397242
#397232
#391732
#391662
#377572
#377542
#364922
#364822
#362752
#362192
#361642
#361532
#361512
#361082
#360422
#360092
#347202
C2×#24212
#343342
#342922
C4×#5462