Finite Group Databasebeta

← #7987208

Subgroups — #7987208

Order 512.

6576 conjugacy classes of subgroups.

The subgroup lattice has 1811 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3555C211yesmaximal, characteristic, complemented
2C22×#556C211yesmaximal, characteristic, complemented
3#59653C211yesmaximal, characteristic, complemented
4#59148C212yesmaximal, complemented
5#59144C211yesmaximal, characteristic, complemented
6#59065C211yesmaximal, characteristic, complemented
7#59014C212yesmaximal, complemented
8#51321C214yesmaximal, complemented
9#51205C214yesmaximal, complemented
10#45971C214yesmaximal, complemented
11#45429C212yesmaximal, complemented
12#45326C212yesmaximal, complemented
13#45261C212yesmaximal, complemented
14#45227C212yesmaximal, complemented
15#42929C212yesmaximal, complemented
16#42915C212yesmaximal, complemented
17#42884C212yesmaximal, complemented
18#42802C212yesmaximal, complemented
19#39727C211yesmaximal, characteristic, complemented
20#39490C211yesmaximal, characteristic, complemented
21#39172C211yesmaximal, characteristic, complemented
22#38923C211yesmaximal, characteristic, complemented
23#37727C214yesmaximal, complemented
24#37696C212yesmaximal
25#37663C212yesmaximal, complemented
26#36577C212yesmaximal, complemented
27Q8×C22⋊Q8C211yesmaximal, characteristic, complemented
28#36439C212yesmaximal, complemented
29#36154C211yesmaximal, characteristic, complemented
30#36129C211yesmaximal, characteristic, complemented
31#35253C212yesmaximal, complemented
32#35244C212yesmaximal, complemented
33#34700C211yesmaximal, characteristic
34#34691C211yesmaximal, characteristic, complemented
35#34481C211yesmaximal, characteristic, complemented
36#3555—216no—
37C2×#563C2214yescomplemented
38C2×Q82C2211yescharacteristic, complemented
39C2×#557C2211yescharacteristic, complemented
40C2×#557C2212yescomplemented
41C2×#556—216no—
42C2×#556C2211yescharacteristic
43C2×#556C2214yes—
44C2×#556C2211yescharacteristic
45C2×#556C2211yescharacteristic
46C2×#556C2212yes—
47C2×#556C2212yes—
48C2×#556C2212yes—
49C2×#556C2212yes—
50C2×#556C2212yes—
51C2×#556C2211yescharacteristic
52C2×#556C2212yescomplemented
53C2×#554C2211yescharacteristic
54C2×#552C2212yescomplemented
55C2×#544C2212yescomplemented
56C2×#542C2212yes—
57C2×#541C2212yescomplemented
58C2×#541C2212yescomplemented
59C2×#541C2214yescomplemented
60C2×#533C2211yescharacteristic, complemented
61C2×#533C2211yescharacteristic, complemented
62C22×C4⋊Q8C2211yescharacteristic
63C2×#529C2211yescharacteristic
64C22×#126C2214yes—
65C22×#124C2212yes—
66C22×C22⋊Q8C2212yes—
67C22×C4×Q8C2211yescharacteristic
68C22×C4×Q8C2212yes—
69C22×C4×D4C2211yescharacteristic
70C22×#117C2212yes—
71#2862C2211yescharacteristic, complemented
72#2857C2211yescharacteristic
73#2857C2212yes—
74#2857C2214yes—
75#2857C2211yescharacteristic, complemented
76#2852C2214yes—
77#2851C2214yes—
78#2848C2212yes—
79#2823C2214yescomplemented
80#2821C2214yescomplemented
81#2727C2214yescomplemented
82#2725C2214yescomplemented
83#2725C2214yescomplemented
84#2725C2214yescomplemented
85#2723C2214yescomplemented
86#2722C2214yescomplemented
87#2722C2214yescomplemented
88#2722C2214yescomplemented
89#2721C2214yescomplemented
90#2721C2214yescomplemented
91#2718C2214yescomplemented
92#2716C2214yescomplemented
93#2716C2214yescomplemented
94#2715C2214yes—
95#2715C2214yes—
96#2715C2214yescomplemented
97#2713C2214yescomplemented
98#2712C2214yes—
99#2710C2214yes—
100#2704C2214yescomplemented
101#2702C2214yescomplemented
102#2702C2214yescomplemented
103#2700C2214yes—
104#2700C2214yes—
105#2698C2214yescomplemented
106#2698C2214yescomplemented
107#2698C2214yescomplemented
108#2695C2214yescomplemented
109#2690C2214yescomplemented
110#2690C2214yescomplemented
111#2689C2214yescomplemented
112#2689C2214yescomplemented
113#2689C2214yescomplemented
114#2664C2214yescomplemented
115#2640C2212yes—
116#2637C2214yescomplemented
117#2637C2214yescomplemented
118#2634C2214yescomplemented
119#2629C2214yescomplemented
120#2628C2214yescomplemented
121#2625C2212yescomplemented
122#2621C2212yescomplemented
123#2620C2212yes—
124#2601C2214yescomplemented
125#2599C2214yescomplemented
126#2592C2212yes—
127#2582C2211yescharacteristic, complemented
128#2582C2212yescomplemented
129#2582C2212yescomplemented
130#2582C2214yescomplemented
131#2568C2212yescomplemented
132#2568C2214yescomplemented
133#2568C2211yescharacteristic, complemented
134#2567C2211yescharacteristic, complemented
135#2567C2212yescomplemented
136#2563C2211yescharacteristic
137#2550C2212yescomplemented
138#2550C2212yescomplemented
139#2547C2212yes—
140#2546C2211yescharacteristic, complemented
141#2546C2212yescomplemented
142#2545C2212yes—
143#2545C2212yes—
144#2538C2211yescharacteristic
145#2536C2212yescomplemented
146#2521C2214yes—
147#2519C2214yescomplemented
148#2503C2212yescomplemented
149#2499C2212yescomplemented
150#2496C2214yescomplemented
151#2492C2212yescomplemented
152#2489C2212yescomplemented
153#2489C2212yescomplemented
154#2488C2214yescomplemented
155#2487C2212yes—
156#2485C2212yescomplemented
157#2481C2214yes—
158#2480C2214yes—
159#2480C2214yes—
160#2480C2214yes—
161#2480C2212yes—
162#2478C2214yescomplemented
163#2478C2214yescomplemented
164#2474C2214yes—
165#2474C2214yescomplemented
166#2473C2214yes—
167#2473C2214yes—
168#2473C2212yes—
169#2472C2214yes—
170#2469C2214yescomplemented
171#2469C2214yescomplemented
172#2468C2212yes—
173#2465C2212yescomplemented
174#2462C2214yescomplemented
175#2462C2212yescomplemented
176#2457C2212yes—
177#2454C2212yes—
178#2454C2211yescharacteristic
179#2453C2214yescomplemented
180#2453C2212yescomplemented
181#2453C2212yescomplemented
182#2453C2212yescomplemented
183#2453C2214yescomplemented
184#2451C2214yescomplemented
185#2451C2212yescomplemented
186#2451C2212yescomplemented
187#2451C2211yescharacteristic, complemented
188#2451C2212yescomplemented
189#2450C2214yes—
190#2449C2212yes—
191#2448C2212yes—
192#2448C2212yes—
193#2447C2212yes—
194#2447C2212yes—
195#2447C2211yescharacteristic
196#2446C2212yescomplemented
197#2446C2212yescomplemented
198#2446C2211yescharacteristic, complemented
199#2446C2212yescomplemented
200#2442C2212yes—
201#2442C2212yes—
202#2442C2214yes—
203#2442C2212yes—
204#2442C2214yes—
205#2442C2211yescharacteristic
206#2441C2212yescomplemented
207#2441C2212yescomplemented
208#2440C2212yes—
209#2440C2214yes—
210#2440C2211yescharacteristic
211#2439C2212yescomplemented
212#2439C2212yescomplemented
213#2439C2212yescomplemented
214#2439C2212yescomplemented
215#2438C2214yescomplemented
216#2438C2214yescomplemented
217#2438C2214yescomplemented
218#2437C2214yes—
219#2437C2214yes—
220#2437C2214yes—
221#2435C2211yescharacteristic
222#2434C2212yes—
223#2434C2211yescharacteristic
224#2429C2212yescomplemented
225#2429C2212yescomplemented
226#2429C2212yescomplemented
227#2429C2212yescomplemented
228#2429C2211yescharacteristic, complemented
229#2427C2212yes—
230#2427C2211yescharacteristic
231#2426C2212yes—
232#2423C2211yescharacteristic, complemented
233#2421C2212yescomplemented
234#2421C2212yescomplemented
235#2421C2212yescomplemented
236#2420C2211yescharacteristic
237#2418C2212yes—
238#2417C2212yes—
239#2417C2212yes—
240#2417C2211yescharacteristic
241#2417C2211yescharacteristic
242#2417C2212yescomplemented
243#2415C2212yescomplemented
244#2415C2212yescomplemented
245#2412C2214yes—
246#2409C2212yes—
247#2409C2211yescharacteristic
248#2408C2211yescharacteristic
249#2399C2212yescomplemented
250#2396C2212yescomplemented
251#2395C2212yes—
252#2392C2212yes—
253#2383C2214yescomplemented
254#2367C2212yes—
255#2365C2211yescharacteristic, complemented
256#2362C2212yescomplemented
257#2360C2212yes—
258#2360C2212yes—
259#2360C2212yescomplemented
260#2354C2212yescomplemented
261#2352C2212yes—
262#2351C2212yescomplemented
263#2351C2212yescomplemented
264Q8×C4⋊C4C2212yescomplemented
265Q8×C4⋊C4C2211yescharacteristic, complemented
266Q8×C4⋊C4C2212yescomplemented
267#2349C2212yes—
268D4×C4⋊C4C2211yescharacteristic
269#2347C2212yescomplemented
270#2342C2214yes—
271Q8×C22⋊C4C2212yes—
272Q8×C22⋊C4C2212yes—
273Q8×C22⋊C4C2212yes—
274D4×C22⋊C4C2212yes—
275#2334C2214yescomplemented
276#2327C2212yescomplemented
277#2326C2212yes—
278#2323C2212yescomplemented
279#2323C2212yescomplemented
280#2320C2212yescomplemented
281#2317C2212yescomplemented
282#2317C2212yescomplemented
283#2316C2212yescomplemented
284C4×C4⋊Q8C2211yescharacteristic, complemented
285C4×C4⋊Q8C2211yescharacteristic, complemented
286C4×#124C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2212yes—
290C4×C22⋊Q8C2212yes—
291C4×C22⋊Q8C2214yes—
292C4×C22⋊Q8C2211yescharacteristic, complemented
293C4×#121C2211yescharacteristic
294C4×#120C2212yes—
295#2295C2211yescharacteristic, complemented
296#2293C2211yescharacteristic
297#2290C2212yes—
298#2280C2212yes—
299C2×#380C2212yes—
300C42×D4C2211yescharacteristic
301C23×Q8C2311yescharacteristic
302C23×Q8C2312yes—
303C23×D4C2311yescharacteristic
304C24×C4C2312yes—
305#563—232no—
306Q82—28no—
307#557—28no—
308#557—216no—
309#556—28no—
310#556—232no—
311#556—216no—
312#556—216no—
313#556—216no—
314#556—28no—
315#556—216no—
316#556—28no—
317#556—216no—
318#556—216no—
319#556D4116yescomplemented
320#554—28no—
321#552—216no—
322#544—216no—
323#542—216no—
324#541—232no—
325#541—216no—
326#541—216no—
327#533—28no—
328#533—28no—
329C2×C4⋊Q8—28no—
330C2×C4⋊Q8C2311yescharacteristic
331C2×C4⋊Q8C2314yes—
332C2×C4⋊Q8C2312yes—
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2314yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2311yescharacteristic
345#529—28no—
346C2×#126—232no—
347C2×#126C2314yes—
348C2×#126C2314yes—
349C2×#126C2314yes—
350C2×#126C2314yes—
351C2×#126C2314yes—
352C2×#126C2314yes—
353C2×#126C2314yes—
354C2×#126C2314yes—
355C2×#126C2312yes—
356C2×#126C2314yes—
357C2×#126C2314yes—
358C2×#126C2314yes—
359C2×#126C2314yes—
360C2×#126C2314yes—
361C2×#125C2314yes—
362C2×#125C2311yescharacteristic
363C2×#125C2312yes—
364C2×#125C2312yes—
365C2×#125C2314yes—
366C2×#125C2314yes—
367C2×#125C2314yes—
368C2×#125C2312yes—
369C2×#125C2314yes—
370C2×#125C2312yes—
371C2×#124—216no—
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2314yes—
376C2×#124C2314yes—
377C2×#124C2311yescharacteristic
378C2×#124C2314yes—
379C2×#124C2311yescharacteristic
380C2×#124C2312yes—
381C2×#123C2314yes—
382C2×#123C2312yes—
383C2×C22⋊Q8—216no—
384C2×C22⋊Q8C2311yescharacteristic
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2311yescharacteristic
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2311yescharacteristic
394C2×C22⋊Q8C2311yescharacteristic
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2312yes—
408C2×#121C2311yescharacteristic
409C2×#121C2311yescharacteristic
410C2×#120C2312yes—
411C2×C4×Q8—216no—
412C2×C4×Q8—28no—
413C2×C4×Q8C2311yescharacteristic
414C2×C4×Q8C2311yescharacteristic
415C2×C4×Q8C2312yes—
416C2×C4×Q8C2312yes—
417C2×C4×Q8C2314yes—
418C2×C4×Q8C2312yes—
419C2×C4×Q8C2312yes—
420C2×C4×Q8C2314yes—
421C2×C4×Q8C2311yescharacteristic
422C2×C4×Q8C2312yes—
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2311yescharacteristic
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2312yes—
429C2×C4×Q8C2311yescharacteristic
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2314yes—
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2311yescharacteristic
438C2×C4×D4—28no—
439C2×C4×D4C2311yescharacteristic
440C2×C4×D4C2312yes—
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2312yes—
447C2×C4×D4C2311yescharacteristic
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2311yescharacteristic
451C2×C4×D4C2311yescharacteristic
452C2×#117—216no—
453C2×#117C2312yes—
454C2×#117C2312yes—
455C2×#117C2312yes—
456C2×#117C2314yes—
457C2×#117C2314yes—
458C2×#117C2312yes—
459C2×#117C2312yes—
460C2×#117C2312yes—
461C2×#117C2314yes—
462C2×#117C2312yes—
463C2×#117C2312yes—
464C22×C4⋊C4C2312yes—
465C22×C4⋊C4C2312yes—
466C22×C4⋊C4C2312yes—
467C22×C4⋊C4C2311yescharacteristic
468C22×C4⋊C4C2311yescharacteristic
469C22×C4⋊C4C2314yes—
470C22×C4⋊C4C2312yes—
471C22×C4⋊C4C2312yes—
472C22×C22⋊C4C2314yes—
473C22×C22⋊C4C2314yes—
474C22×C22⋊C4C2312yes—
475C22×C22⋊C4C2314yes—
476C22×C42C2314yes—
477C22×C42C2311yescharacteristic
478C22×C42C2312yes—
479C22×C42C2311yescharacteristic
480#400C2314yes—
481#400C2314yes—
482#400C2312yes—
483#400C2314yes—
484#400C2314yes—
485#400C2314yes—
486#400C2314yes—
487#400C2314yes—
488#400C2314yes—
489#400C2314yes—
490#400C2314yes—
491#400C2314yes—
492#400C2312yes—
493#399C2312yes—
494#399C2314yes—
495#399C2314yes—
496#399C2314yes—
497#399C2312yes—
498#398C2314yes—
499#398C2314yes—
500#398C2314yes—
501#398C2314yes—
502#398C2314yes—
503#398C2312yes—
504#398C2314yes—
505#398C2314yes—
506#398C2314yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2312yes—
511#398C2314yes—
512#398C2314yes—
513#398C2312yes—
514#398C2314yes—
515#398C2314yes—
516#398C2312yes—
517#398C2312yes—
518#398C2314yes—
519#398C2312yes—
520#398C2312yes—
521#398C2312yes—
522#398C2314yes—
523#397C2314yes—
524#397C2314yes—
525#397C2314yes—
526#397C2314yes—
527#397C2314yes—
528#397C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#397C2314yes—
533#397C2312yes—
534#397C2312yes—
535#397C2312yes—
536#397C2312yes—
537#397C2314yes—
538#397C2314yes—
539#397C2314yes—
540#396C2312yes—
541#396C2314yes—
542#396C2314yes—
543#396C2314yes—
544#396C2314yes—
545#396C2314yes—
546#396C2312yes—
547#396C2314yes—
548#396C2314yes—
549#396C2314yes—
550#396C2314yes—
551#396C2314yes—
552#396C2312yes—
553#396C2312yes—
554#396C2314yes—
555#395C2312yes—
556#395C2314yes—
557#395C2314yes—
558#395C2314yes—
559#395C2312yes—
560#395C2314yes—
561#395C2314yes—
562#395C2314yes—
563#395C2312yes—
564#395C2312yes—
565#395C2312yes—
566#394C2312yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2312yes—
571#394C2312yes—
572#394C2312yes—
573#394C2312yes—
574#394C2314yes—
575#393C2314yes—
576#393C2314yes—
577#393C2314yes—
578#393C2314yes—
579#393C2314yes—
580#393C2312yes—
581#392C2312yes—
582#391C2312yes—
583#391C2311yescharacteristic
584#391C2311yescharacteristic
585#391C2312yes—
586#391C2314yes—
587#391C2314yes—
588#391C2312yes—
589#391C2312yes—
590#391C2312yes—
591#391C2314yes—
592#391C2314yes—
593#391C2314yes—
594#391C2312yes—
595#391C2312yes—
596#391C2314yes—
597#391C2314yes—
598#391C2312yes—
599#391C2312yes—
600#391C2311yescharacteristic
601#391C2311yescharacteristic
602#391C2312yes—
603#391C2312yes—
604#391C2312yes—
605#391C2314yes—
606#391C2314yes—
607#391C2314yes—
608#391C2311yescharacteristic
609#391C2312yes—
610#391C2312yes—
611#391C2312yes—
612#391C2312yes—
613#391C2311yescharacteristic
614#391C2311yescharacteristic
615#391C2311yescharacteristic
616#390C2312yes—
617#390C2311yescharacteristic
618#390C2311yescharacteristic
619#390C2312yes—
620#390C2314yes—
621#390C2311yescharacteristic
622#390C2311yescharacteristic
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2311yescharacteristic
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2311yescharacteristic
633#389C2312yes—
634#389C2314yes—
635#389C2314yes—
636#389C2312yes—
637#389C2312yes—
638#389C2311yescharacteristic
639#389C2314yes—
640#389C2314yes—
641#389C2312yes—
642#389C2312yes—
643#389C2311yescharacteristic
644#389C2312yes—
645#389C2312yes—
646#389C2314yes—
647#389C2314yes—
648#389C2311yescharacteristic
649#389C2314yes—
650#389C2312yes—
651#389C2314yes—
652#389C2314yes—
653#389C2314yes—
654#389C2314yes—
655#389C2314yes—
656#389C2314yes—
657#389C2312yes—
658#389C2314yes—
659#389C2314yes—
660#389C2314yes—
661#389C2312yes—
662#389C2311yescharacteristic
663#389C2311yescharacteristic
664#389C2312yes—
665#389C2314yes—
666#389C2314yes—
667#389C2311yescharacteristic
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2312yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2312yes—
687#388C2314yes—
688#388C2312yes—
689#388C2314yes—
690#388C2312yes—
691#388C2314yes—
692#388C2312yes—
693#388C2312yes—
694#388C2312yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2312yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2312yes—
714#387C2314yes—
715#387C2314yes—
716#387C2312yes—
717#387C2312yes—
718#387C2312yes—
719#387C2312yes—
720#387C2312yes—
721#387C2312yes—
722#387C2312yes—
723#386C2314yes—
724#386C2314yes—
725#386C2312yes—
726#386C2312yes—
727#386C2314yes—
728#386C2312yes—
729#386C2312yes—
730#386C2314yes—
731#386C2312yes—
732#386C2312yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2312yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2312yes—
748#385C2312yes—
749#385C2314yes—
750#385C2312yes—
751#385C2312yes—
752#385C2312yes—
753#385C2312yes—
754#385C2312yes—
755#385C2312yes—
756#385C2312yes—
757#384C2311yescharacteristic
758#384C2311yescharacteristic
759#384C2312yes—
760#384C2314yes—
761#384C2314yes—
762#384C2312yes—
763#383C2314yes—
764#382C2312yes—
765#382C2311yescharacteristic
766#382C2312yes—
767#382C2314yes—
768#382C2314yes—
769#382C2314yes—
770#382C2312yes—
771#382C2312yes—
772#381C2314yes—
773#381C2314yes—
774#381C2312yes—
775#381C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2314yes—
779#380C2314yes—
780#380C2311yescharacteristic
781#380C2312yes—
782#380C2312yes—
783#380C2312yes—
784#380C2312yes—
785#380C2314yes—
786#380C2311yescharacteristic
787#380C2314yes—
788#380C2314yes—
789#380C2314yes—
790#380C2314yes—
791#380C2312yes—
792#380C2312yes—
793#380C2312yes—
794#380C2314yes—
795#380C2311yescharacteristic
796#380C2312yes—
797#380C2314yes—
798#380C2312yes—
799#380C2311yescharacteristic
800#380C2312yes—
801#380C2312yes—
802#379C2314yes—
803#379C2312yes—
804#379C2312yes—
805#379C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2314yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2314yes—
819C4×C4⋊C4C2314yes—
820C4×C4⋊C4C2314yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2311yescharacteristic
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2311yescharacteristic
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2311yescharacteristic
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2311yescharacteristic
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2311yescharacteristic
842#376C2312yes—
843C2×#95C2314yes—
844C43C2311yescharacteristic
845C25C2412yes—
846C22×Q8—24no—
847C22×Q8—28no—
848C22×Q8—24no—
849C22×Q8—28no—
850C22×Q8—42no—
851C22×Q8—44no—
852C22×Q8C2411yescharacteristic
853C22×Q8C2411yescharacteristic
854C22×Q8C2411yescharacteristic
855C22×Q8C2412yes—
856C22×Q8C2412yes—
857C22×Q8C2414yes—
858C22×Q8C2411yescharacteristic
859C22×Q8C2412yes—
860C22×Q8C2412yes—
861C22×Q8C2412yes—
862C22×Q8C2414yes—
863C22×D4—24no—
864C22×D4—24no—
865C22×D4—42no—
866C22×D4C2411yescharacteristic
867C22×D4C2411yescharacteristic
868C22×D4C2412yes—
869C22×D4C2411yescharacteristic
870C22×D4C2412yes—
871C22×D4C2412yes—
872C23×C4—28no—
873C23×C4—28no—
874C23×C4—44no—
875C23×C4C2411yescharacteristic
876C23×C4C2412yes—
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2412yes—
880C23×C4C2414yes—
881C23×C4C2412yes—
882C23×C4C2412yes—
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2411yescharacteristic
887C23×C4C2411yescharacteristic
888C23×C4C2414yes—
889C23×C4C2411yescharacteristic
890C23×C4C2414yes—
891C4⋊Q8—28no—
892C4⋊Q8—24no—
893C4⋊Q8—28no—
894C4⋊Q8—28no—
895C4⋊Q8—28no—
896C4⋊Q8—24no—
897C4⋊Q8—216no—
898C4⋊Q8—28no—
899C4⋊Q8—24no—
900C4⋊Q8—24no—
901C4⋊Q8—28no—
902C4⋊Q8—216no—
903C4⋊Q8—42no—
904C4⋊Q8—44no—
905C4⋊Q8C2×D418yes—
906#126—216no—
907#126—216no—
908#126—216no—
909#126—216no—
910#126—216no—
911#126—216no—
912#126—216no—
913#126—28no—
914#126—216no—
915#126—216no—
916#126—216no—
917#126—216no—
918#126—216no—
919#126C2×D4132yes—
920#125—24no—
921#125—28no—
922#125—28no—
923#125—216no—
924#125—216no—
925#125—28no—
926#125—216no—
927#125—216no—
928#125—28no—
929#125—216no—
930#124—28no—
931#124—28no—
932#124—24no—
933#124—216no—
934#124—216no—
935#124—216no—
936#124—28no—
937#124—42no—
938#124C2×D4116yes—
939#123—28no—
940#123—216no—
941C22⋊Q8—28no—
942C22⋊Q8—28no—
943C22⋊Q8—24no—
944C22⋊Q8—28no—
945C22⋊Q8—28no—
946C22⋊Q8—24no—
947C22⋊Q8—24no—
948C22⋊Q8—216no—
949C22⋊Q8—28no—
950C22⋊Q8—24no—
951C22⋊Q8—24no—
952C22⋊Q8—28no—
953C22⋊Q8—28no—
954C22⋊Q8—216no—
955C22⋊Q8—216no—
956C22⋊Q8—216no—
957C22⋊Q8—216no—
958C22⋊Q8—44no—
959C22⋊Q8—44no—
960C22⋊Q8—48no—
961C22⋊Q8—42no—
962C22⋊Q8—44no—
963C22⋊Q8—44no—
964C22⋊Q8C2×D4116yes—
965#121—24no—
966#121—42no—
967#120—44no—
968C4×Q8—28no—
969C4×Q8—24no—
970C4×Q8—28no—
971C4×Q8—28no—
972C4×Q8—28no—
973C4×Q8—216no—
974C4×Q8—28no—
975C4×Q8—28no—
976C4×Q8—24no—
977C4×Q8—28no—
978C4×Q8—28no—
979C4×Q8—28no—
980C4×Q8—216no—
981C4×Q8—28no—
982C4×Q8—24no—
983C4×Q8—24no—
984C4×Q8—24no—
985C4×Q8—28no—
986C4×Q8—216no—
987C4×Q8—28no—
988C4×Q8—44no—
989C4×Q8—44no—
990C4×Q8—44no—
991C4×Q8C2×D418yes—
992C4×Q8C2×D4116yes—
993C4×D4—24no—
994C4×D4—28no—
995C4×D4—28no—
996C4×D4—28no—
997C4×D4—24no—
998C4×D4—24no—
999C4×D4—24no—
1000C4×D4—28no—
1001C4×D4—24no—
1002C4×D4—44no—
1003C4×D4—44no—
1004C4×D4—42no—
1005C4×D4C2×D418yes—
1006#117—28no—
1007#117—28no—
1008#117—28no—
1009#117—28no—
1010#117—28no—
1011#117—216no—
1012#117—216no—
1013#117—216no—
1014#117—28no—
1015#117—44no—
1016#117C2×D4116yes—
1017C2×C4⋊C4—28no—
1018C2×C4⋊C4—24no—
1019C2×C4⋊C4—28no—
1020C2×C4⋊C4—24no—
1021C2×C4⋊C4—216no—
1022C2×C4⋊C4—28no—
1023C2×C4⋊C4—28no—
1024C2×C4⋊C4—44no—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C22⋊C4—216no—
1107C2×C22⋊C4—28no—
1108C2×C22⋊C4—216no—
1109C2×C22⋊C4—48no—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2411yescharacteristic
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2411yescharacteristic
1131C2×C22⋊C4C2411yescharacteristic
1132C2×C22⋊C4C2411yescharacteristic
1133C2×C22⋊C4C2411yescharacteristic
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2411yescharacteristic
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2412yes—
1161C2×C42—216no—
1162C2×C42—24no—
1163C2×C42—28no—
1164C2×C42—24no—
1165C2×C42C2414yes—
1166C2×C42C2414yes—
1167C2×C42C2414yes—
1168C2×C42C2414yes—
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2412yes—
1172C2×C42C2412yes—
1173C2×C42C2412yes—
1174C2×C42C2414yes—
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177C2×C42C2411yescharacteristic
1178C2×C42C2412yes—
1179C2×C42C2411yescharacteristic
1180C2×C42C2411yescharacteristic
1181C2×C42C2412yes—
1182C2×C42C2412yes—
1183C2×C42C2412yes—
1184C2×C42C2411yescharacteristic
1185C2×C42C2414yes—
1186C2×C42C2411yescharacteristic
1187C2×C42C2411yescharacteristic
1188C2×C42C2411yescharacteristic
1189C2×C42C2414yes—
1190C2×C42C2414yes—
1191C2×C42C2414yes—
1192C2×C42C2411yescharacteristic
1193C2×C42C2414yes—
1194C2×C42C2412yes—
1195C2×C42C2411yescharacteristic
1196#95C2412yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2411yescharacteristic
1205#95C2411yescharacteristic
1206#95C2412yes—
1207#95C2411yescharacteristic
1208#95C2411yescharacteristic
1209#95C2411yescharacteristic
1210#95C2411yescharacteristic
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2414yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262C24—24no—
1263C24—24no—
1264C24—24no—
1265C24—24no—
1266C24—42no—
1267C24—42no—
1268C24—42no—
1269C24C2512yes—
1270C24C2511yescharacteristic
1271C24C2512yes—
1272C24C2511yescharacteristic
1273C2×Q8—22no—
1274C2×Q8—22no—
1275C2×Q8—24no—
1276C2×Q8—22no—
1277C2×Q8—28no—
1278C2×Q8—24no—
1279C2×Q8—24no—
1280C2×Q8—24no—
1281C2×Q8—28no—
1282C2×Q8—22no—
1283C2×Q8—24no—
1284C2×Q8—22no—
1285C2×Q8—22no—
1286C2×Q8—24no—
1287C2×Q8—28no—
1288C2×Q8—22no—
1289C2×Q8—24no—
1290C2×Q8—22no—
1291C2×Q8—24no—
1292C2×Q8—22no—
1293C2×Q8—22no—
1294C2×Q8—24no—
1295C2×Q8—22no—
1296C2×Q8—42no—
1297C2×Q8—44no—
1298C2×Q8—42no—
1299C2×Q8—42no—
1300C2×Q8—44no—
1301C2×Q8—42no—
1302C2×Q8—42no—
1303C2×Q8—44no—
1304C2×Q8—416no—
1305C2×Q8—432no—
1306C2×Q8C22×D414yes—
1307C2×Q8C22×D418yes—
1308C2×D4—24no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—24no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—24no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—416no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—42no—
1326C2×D4C22×D414yes—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—24no—
1330C22×C4—24no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—28no—
1336C22×C4—24no—
1337C22×C4—22no—
1338C22×C4—24no—
1339C22×C4—28no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—22no—
1343C22×C4—28no—
1344C22×C4—24no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—24no—
1352C22×C4—24no—
1353C22×C4—24no—
1354C22×C4—22no—
1355C22×C4—24no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—42no—
1359C22×C4—42no—
1360C22×C4—42no—
1361C22×C4—41no—
1362C22×C4—42no—
1363C22×C4—42no—
1364C22×C4—44no—
1365C22×C4—432no—
1366C22×C4—44no—
1367C22×C4—41no—
1368C22×C4—41no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4C22×D418yes—
1374C22×C42−1+414yes—
1375C22×C42−1+414yes—
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C22×C4C2511yescharacteristic
1379C22×C4C2512yes—
1380C22×C4C2512yes—
1381C22×C4C2512yes—
1382C22×C4C2512yes—
1383C22×C4C2512yes—
1384C22×C4C2514yes—
1385C22×C4C2514yes—
1386C22×C4C2512yes—
1387C22×C4C2511yescharacteristic
1388C22×C4C2512yes—
1389C22×C4C2514yes—
1390C22×C4C2511yescharacteristic
1391C22×C4C2512yes—
1392C22×C4C2511yescharacteristic
1393C22×C4C2512yes—
1394C22×C4C2512yes—
1395C22×C4C2511yescharacteristic
1396C22×C4C2512yes—
1397C22×C4C2511yescharacteristic
1398C22×C4C2512yes—
1399C22×C4C2514yes—
1400C22×C4C2512yes—
1401C22×C4C2511yescharacteristic
1402C22×C4C2512yes—
1403C22×C4C2511yescharacteristic
1404C22×C4C2511yescharacteristic
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C4⋊C4—22no—
1408C4⋊C4—24no—
1409C4⋊C4—22no—
1410C4⋊C4—28no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—24no—
1414C4⋊C4—22no—
1415C4⋊C4—28no—
1416C4⋊C4—28no—
1417C4⋊C4—28no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—28no—
1422C4⋊C4—28no—
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—24no—
1426C4⋊C4—24no—
1427C4⋊C4—28no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—24no—
1432C4⋊C4—22no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—28no—
1436C4⋊C4—28no—
1437C4⋊C4—28no—
1438C4⋊C4—28no—
1439C4⋊C4—24no—
1440C4⋊C4—28no—
1441C4⋊C4—24no—
1442C4⋊C4—28no—
1443C4⋊C4—28no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—22no—
1448C4⋊C4—24no—
1449C4⋊C4—24no—
1450C4⋊C4—22no—
1451C4⋊C4—24no—
1452C4⋊C4—24no—
1453C4⋊C4—22no—
1454C4⋊C4—44no—
1455C4⋊C4—42no—
1456C4⋊C4—42no—
1457C4⋊C4—42no—
1458C4⋊C4—44no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—42no—
1463C4⋊C4—41no—
1464C4⋊C4—44no—
1465C4⋊C4—44no—
1466C4⋊C4—44no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C4⋊C4—44no—
1470C4⋊C4—42no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
1473C4⋊C4—42no—
1474C4⋊C4—44no—
1475C4⋊C4—44no—
1476C4⋊C4—44no—
1477C4⋊C4—42no—
1478C4⋊C4—44no—
1479C4⋊C4—42no—
1480C4⋊C4—42no—
1481C4⋊C4—44no—
1482C4⋊C4C22×D414yes—
1483C4⋊C4C22×D418yes—
1484C4⋊C4C22×D414yes—
1485C4⋊C4C22×D4116yes—
1486C4⋊C4C22×D418yes—
1487C4⋊C4C22×D418yes—
1488C22⋊C4—28no—
1489C22⋊C4—24no—
1490C22⋊C4—28no—
1491C22⋊C4—24no—
1492C22⋊C4—24no—
1493C22⋊C4—24no—
1494C22⋊C4—28no—
1495C22⋊C4—22no—
1496C22⋊C4—22no—
1497C22⋊C4—24no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—28no—
1501C22⋊C4—22no—
1502C22⋊C4—24no—
1503C22⋊C4—28no—
1504C22⋊C4—28no—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—28no—
1508C22⋊C4—28no—
1509C22⋊C4—24no—
1510C22⋊C4—28no—
1511C22⋊C4—24no—
1512C22⋊C4—24no—
1513C22⋊C4—22no—
1514C22⋊C4—22no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4—44no—
1521C22⋊C4—42no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—42no—
1526C22⋊C4—44no—
1527C22⋊C4—41no—
1528C22⋊C4—42no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—42no—
1536C22⋊C4C22×D4116yes—
1537C22⋊C4C22×D4116yes—
1538C22⋊C4C22×D418yes—
1539C42—28no—
1540C42—28no—
1541C42—28no—
1542C42—22no—
1543C42—22no—
1544C42—22no—
1545C42—22no—
1546C42—24no—
1547C42—24no—
1548C42—24no—
1549C42—22no—
1550C42—22no—
1551C42—28no—
1552C42—24no—
1553C42—24no—
1554C42—28no—
1555C42—28no—
1556C42—22no—
1557C42—22no—
1558C42—22no—
1559C42—24no—
1560C42—24no—
1561C42—22no—
1562C42—41no—
1563C42—41no—
1564C42—44no—
1565C42—44no—
1566C42—44no—
1567C42C22×D414yes—
1568C42C22×D4116yes—
1569C42C22×D418yes—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—21no—
1581C23—22no—
1582C23—21no—
1583C23—21no—
1584C23—22no—
1585C23—22no—
1586C23—22no—
1587C23—21no—
1588C23—21no—
1589C23—22no—
1590C23—22no—
1591C23—21no—
1592C23—22no—
1593C23—21no—
1594C23—48no—
1595C23—48no—
1596C23—48no—
1597C23—48no—
1598C23—84no—
1599C23—84no—
1600C23—84no—
1601C23C23×D414yes—
1602C23C2×2−1+412yes—
1603C23C2×2−1+412yes—
1604C23#58512yes—
1605C23C2611yescharacteristic
1606Q8—28no—
1607Q8—216no—
1608Q8—48no—
1609Q8—416no—
1610Q8—44no—
1611Q8—44no—
1612Q8—44no—
1613Q8—48no—
1614Q8—84no—
1615Q8—84no—
1616Q8—88no—
1617D4—28no—
1618D4—48no—
1619D4—44no—
1620D4—44no—
1621D4—84no—
1622D4—84no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—24no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—24no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—28no—
1638C2×C4—216no—
1639C2×C4—28no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—21no—
1647C2×C4—24no—
1648C2×C4—22no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—24no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—24no—
1665C2×C4—22no—
1666C2×C4—21no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—24no—
1678C2×C4—24no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—24no—
1682C2×C4—22no—
1683C2×C4—24no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—24no—
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—21no—
1701C2×C4—22no—
1702C2×C4—24no—
1703C2×C4—22no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—48no—
1707C2×C4—44no—
1708C2×C4—48no—
1709C2×C4—48no—
1710C2×C4—48no—
1711C2×C4—48no—
1712C2×C4—416no—
1713C2×C4—44no—
1714C2×C4—44no—
1715C2×C4—48no—
1716C2×C4—82no—
1717C2×C4—88no—
1718C2×C4—164no—
1719C2×C4C23×D414yes—
1720C2×C4C23×D418yes—
1721C2×C4C23×D414yes—
1722C2×C4C23×D414yes—
1723C2×C4C23×D412yes—
1724C2×C4C23×D412yes—
1725C2×C4C23×D412yes—
1726C2×C4C2×2−1+412yes—
1727C2×C4C2×2−1+412yes—
1728C2×C4C2×2−1+412yes—
1729C2×C4C2×2−1+412yes—
1730C2×C4#58512yes—
1731C2×C4#58512yes—
1732C22—22no—
1733C22—22no—
1734C22—22no—
1735C22—22no—
1736C22—22no—
1737C22—22no—
1738C22—24no—
1739C22—24no—
1740C22—24no—
1741C22—42no—
1742C22—42no—
1743C22—42no—
1744C22—42no—
1745C22—41no—
1746C22—42no—
1747C22—41no—
1748C22—42no—
1749C22—41no—
1750C22—42no—
1751C22—42no—
1752C22—41no—
1753C22—41no—
1754C22—42no—
1755C22—41no—
1756C22—42no—
1757C22—41no—
1758C22—42no—
1759C22—816no—
1760C22#355514yescomplemented
1761C22C24×D411yescharacteristic
1762C22C22×2−1+411yescharacteristic
1763C22C22×2−1+411yescharacteristic
1764C22C2×#58511yescharacteristic
1765C22C2×#58511yescharacteristic
1766C22C2×#58511yescharacteristic
1767C222−1+611yescharacteristic
1768C4—22no—
1769C4—24no—
1770C4—22no—
1771C4—24no—
1772C4—22no—
1773C4—24no—
1774C4—28no—
1775C4—42no—
1776C4—41no—
1777C4—42no—
1778C4—44no—
1779C4—41no—
1780C4—42no—
1781C4—41no—
1782C4—41no—
1783C4—44no—
1784C4—42no—
1785C4—42no—
1786C4—41no—
1787C4—41no—
1788C4—42no—
1789C4—42no—
1790C4—44no—
1791C4—42no—
1792C4—42no—
1793C4—41no—
1794C4—42no—
1795C4—41no—
1796C4—42no—
1797C4#348914yes—
1798C4#348914yes—
1799C2—24no—
1800C2—44no—
1801C2—81no—
1802C2—82no—
1803C2C2×#355511yescharacteristic
1804C2C2×#348911yescharacteristic
1805C2C2×#348911yescharacteristic
1806C2#6293211yescharacteristic
1807C2#6295911yescharacteristic
1808C2#6300211yescharacteristic
1809C2#6302911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2408C22
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×#3555C2semidirect
2. C22×#556C2semidirect
3. #59653C2semidirect
4. #59148C2semidirect
5. #59144C2semidirect
6. #59065C2semidirect
7. #59014C2semidirect
8. #51321C2semidirect
9. #51205C2semidirect
10. #45971C2semidirect
11. #45429C2semidirect
12. #45326C2semidirect
13. #45261C2semidirect
14. #45227C2semidirect
15. #42929C2semidirect
16. #42915C2semidirect
17. #42884C2semidirect
18. #42802C2semidirect
19. #39727C2semidirect
20. #39490C2semidirect
21. #39172C2semidirect
22. #38923C2semidirect
23. #37727C2semidirect
25. #37663C2semidirect
26. #36577C2semidirect
27. Q8×C22⋊Q8C2semidirect
28. #36439C2semidirect
29. #36154C2semidirect
30. #36129C2semidirect
31. #35253C2semidirect
32. #35244C2semidirect
34. #34691C2semidirect
35. #34481C2semidirect
37. C2×#563C22semidirect
38. C2×Q82C22semidirect
39. C2×#557C22semidirect
40. C2×#557C22semidirect
52. C2×#556C22semidirect
54. C2×#552C22semidirect
55. C2×#544C22semidirect
57. C2×#541C22semidirect
58. C2×#541C22semidirect
59. C2×#541C22semidirect
60. C2×#533C22semidirect
61. C2×#533C22semidirect
71. #2862C22semidirect
75. #2857C22semidirect
79. #2823C22semidirect
80. #2821C22semidirect
81. #2727C22semidirect
82. #2725C22semidirect
83. #2725C22semidirect
84. #2725C22semidirect
85. #2723C22semidirect
86. #2722C22semidirect
87. #2722C22semidirect
88. #2722C22semidirect
89. #2721C22semidirect
90. #2721C22semidirect
91. #2718C22semidirect
92. #2716C22semidirect
93. #2716C22semidirect
96. #2715C22semidirect
97. #2713C22semidirect
100. #2704C22semidirect
101. #2702C22semidirect
102. #2702C22semidirect
105. #2698C22semidirect
106. #2698C22semidirect
107. #2698C22semidirect
108. #2695C22semidirect
109. #2690C22semidirect
110. #2690C22semidirect
111. #2689C22semidirect
112. #2689C22semidirect
113. #2689C22semidirect
114. #2664C22semidirect
116. #2637C22semidirect
117. #2637C22semidirect
118. #2634C22semidirect
119. #2629C22semidirect
120. #2628C22semidirect
121. #2625C22semidirect
122. #2621C22semidirect
124. #2601C22semidirect
125. #2599C22semidirect
127. #2582C22semidirect
128. #2582C22semidirect
129. #2582C22semidirect
130. #2582C22semidirect
131. #2568C22semidirect
132. #2568C22semidirect
133. #2568C22semidirect
134. #2567C22semidirect
135. #2567C22semidirect
137. #2550C22semidirect
138. #2550C22semidirect
140. #2546C22semidirect
141. #2546C22semidirect
145. #2536C22semidirect
147. #2519C22semidirect
148. #2503C22semidirect
149. #2499C22semidirect
150. #2496C22semidirect
151. #2492C22semidirect
152. #2489C22semidirect
153. #2489C22semidirect
154. #2488C22semidirect
156. #2485C22semidirect
162. #2478C22semidirect
163. #2478C22semidirect
165. #2474C22semidirect
170. #2469C22semidirect
171. #2469C22semidirect
173. #2465C22semidirect
174. #2462C22semidirect
175. #2462C22semidirect
179. #2453C22semidirect
180. #2453C22semidirect
181. #2453C22semidirect
182. #2453C22semidirect
183. #2453C22semidirect
184. #2451C22semidirect
185. #2451C22semidirect
186. #2451C22semidirect
187. #2451C22semidirect
188. #2451C22semidirect
196. #2446C22semidirect
197. #2446C22semidirect
198. #2446C22semidirect
199. #2446C22semidirect
206. #2441C22semidirect
207. #2441C22semidirect
211. #2439C22semidirect
212. #2439C22semidirect
213. #2439C22semidirect
214. #2439C22semidirect
215. #2438C22semidirect
216. #2438C22semidirect
217. #2438C22semidirect
224. #2429C22semidirect
225. #2429C22semidirect
226. #2429C22semidirect
227. #2429C22semidirect
228. #2429C22semidirect
232. #2423C22semidirect
233. #2421C22semidirect
234. #2421C22semidirect
235. #2421C22semidirect
242. #2417C22semidirect
243. #2415C22semidirect
244. #2415C22semidirect
249. #2399C22semidirect
250. #2396C22semidirect
253. #2383C22semidirect
255. #2365C22semidirect
256. #2362C22semidirect
259. #2360C22semidirect
260. #2354C22semidirect
262. #2351C22semidirect
263. #2351C22semidirect
264. Q8×C4⋊C4C22semidirect
265. Q8×C4⋊C4C22semidirect
266. Q8×C4⋊C4C22semidirect
269. #2347C22semidirect
275. #2334C22semidirect
276. #2327C22semidirect
278. #2323C22semidirect
279. #2323C22semidirect
280. #2320C22semidirect
281. #2317C22semidirect
282. #2317C22semidirect
283. #2316C22semidirect
284. C4×C4⋊Q8C22semidirect
285. C4×C4⋊Q8C22semidirect
292. C4×C22⋊Q8C22semidirect
295. #2295C22semidirect
319. #556D4semidirect
1760. C22#3555semidirect

Maximal subgroups

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

subgroupindex
C2×#35552
C22×#5562
#596532
#591482
#591442
#590652
#590142
#513212
#512052
#459712
#454292
#453262
#452612
#452272
#429292
#429152
#428842
#428022
#397272
#394902
#391722
#389232
#377272
#376962
#376632
#365772
Q8×C22⋊Q82
#364392
#361542
#361292
#352532
#352442
#347002
#346912
#344812