Finite Group Databasebeta

← #7650685

Subgroups — #7650685

Order 512.

6652 conjugacy classes of subgroups.

The subgroup lattice has 1805 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3510C211yesmaximal, characteristic
2C2×#3501C211yesmaximal, characteristic, complemented
3#42678C212yesmaximal, complemented
4#42676C212yesmaximal, complemented
5#42676C212yesmaximal, complemented
6#42647C212yesmaximal, complemented
7#42481C212yesmaximal, complemented
8#42442C212yesmaximal, complemented
9#42442C212yesmaximal, complemented
10#42427C212yesmaximal, complemented
11#40511C214yesmaximal, complemented
12#40511C214yesmaximal, complemented
13#39949C212yesmaximal, complemented
14#39949C212yesmaximal, complemented
15#39880C212yesmaximal, complemented
16#39880C212yesmaximal, complemented
17#39490C212yesmaximal, complemented
18#38954C212yesmaximal, complemented
19#38921C212yesmaximal, complemented
20#38911C212yesmaximal, complemented
21#38037C214yesmaximal, complemented
22#37835C214yesmaximal, complemented
23#35668C211yesmaximal, characteristic, complemented
24#35662C211yesmaximal, characteristic, complemented
25#35628C211yesmaximal, characteristic, complemented
26#35626C211yesmaximal, characteristic, complemented
27#35566C211yesmaximal, characteristic, complemented
28#35541C211yesmaximal, characteristic
29#35312C211yesmaximal, characteristic, complemented
30#35257C211yesmaximal, characteristic, complemented
31#35152C211yesmaximal, characteristic
32#34938C211yesmaximal, characteristic, complemented
33#34745C211yesmaximal, characteristic, complemented
34C2×#2447C211yesmaximal, characteristic, complemented
35#34255C211yesmaximal, characteristic, complemented
36#3510—216no—
37#3501—216no—
38C2×#559C2212yes—
39C2×#559C2212yes—
40C2×#556C2212yes—
41C2×#556C2212yes—
42C2×#554C2212yes—
43C2×#554C2212yes—
44C2×#554C2212yes—
45C2×#554C2212yes—
46C2×#554C2212yes—
47C2×#554C2212yes—
48C2×#551C2214yes—
49C2×#551C2214yes—
50C2×D4×Q8C2212yes—
51C2×D4×Q8C2212yes—
52C2×#544C2211yescharacteristic
53C2×#544C2211yescharacteristic
54C2×#543C2214yes—
55C2×#542C2212yes—
56C2×#542C2212yes—
57C2×#536C2211yescharacteristic
58C2×#535C2211yescharacteristic
59C2×#533C2211yescharacteristic
60C2×#533C2211yescharacteristic
61C2×#533C2211yescharacteristic
62C2×#529C2212yes—
63C2×#529C2212yes—
64C22×#124C2211yescharacteristic
65C22×C22⋊Q8C2214yes—
66C2×#519C2211yescharacteristic
67C2×#518C2211yescharacteristic
68C2×#518C2211yescharacteristic
69C2×C4×#41C2211yescharacteristic
70C22×C4×D4C2211yescharacteristic
71#2862C2212yescomplemented
72#2861C2212yescomplemented
73#2857C2212yescomplemented
74#2851C2212yescomplemented
75#2849C2214yes—
76#2817C2214yescomplemented
77#2817C2214yescomplemented
78#2814C2214yescomplemented
79#2814C2214yescomplemented
80#2700C2214yescomplemented
81#2700C2214yescomplemented
82#2700C2214yescomplemented
83#2700C2214yescomplemented
84#2698C2214yescomplemented
85#2698C2214yescomplemented
86#2698C2214yescomplemented
87#2698C2214yescomplemented
88#2698C2214yescomplemented
89#2698C2214yescomplemented
90#2698C2214yescomplemented
91#2698C2214yescomplemented
92#2689C2214yescomplemented
93#2689C2214yescomplemented
94#2689C2214yescomplemented
95#2689C2214yescomplemented
96#2689C2214yescomplemented
97#2689C2214yescomplemented
98#2689C2214yescomplemented
99#2689C2214yescomplemented
100#2687C2214yescomplemented
101#2687C2214yescomplemented
102#2687C2214yescomplemented
103#2687C2214yescomplemented
104#2680C2214yescomplemented
105#2680C2214yescomplemented
106#2680C2214yescomplemented
107#2680C2214yescomplemented
108#2674C2214yescomplemented
109#2674C2214yescomplemented
110#2674C2214yescomplemented
111#2674C2214yescomplemented
112#2663C2214yescomplemented
113#2663C2214yescomplemented
114#2642C2212yescomplemented
115#2640C2212yescomplemented
116#2638C2214yescomplemented
117#2638C2214yescomplemented
118#2629C2212yescomplemented
119#2628C2212yescomplemented
120#2627C2214yescomplemented
121#2627C2214yescomplemented
122#2625C2214yescomplemented
123#2625C2214yescomplemented
124#2623C2214yescomplemented
125#2622C2214yes—
126#2621C2214yescomplemented
127#2621C2214yescomplemented
128#2614C2214yescomplemented
129#2592C2212yescomplemented
130#2592C2212yescomplemented
131#2584C2212yescomplemented
132#2584C2212yescomplemented
133#2582C2212yescomplemented
134#2582C2212yescomplemented
135#2581C2212yescomplemented
136#2581C2212yescomplemented
137#2568C2212yescomplemented
138#2568C2212yescomplemented
139#2568C2212yescomplemented
140#2567C2212yescomplemented
141#2567C2212yescomplemented
142#2565C2212yescomplemented
143#2565C2212yescomplemented
144#2552C2211yescharacteristic, complemented
145#2552C2212yescomplemented
146#2552C2211yescharacteristic, complemented
147#2551C2211yescharacteristic, complemented
148#2551C2211yescharacteristic, complemented
149#2551C2212yescomplemented
150#2550C2211yescharacteristic, complemented
151#2550C2211yescharacteristic, complemented
152#2550C2211yescharacteristic, complemented
153#2550C2211yescharacteristic, complemented
154#2550C2212yescomplemented
155#2550C2212yescomplemented
156#2549C2212yes—
157#2549C2214yes—
158#2549C2212yes—
159#2546C2212yescomplemented
160#2503C2214yescomplemented
161#2499C2214yescomplemented
162#2499C2214yescomplemented
163#2492C2212yescomplemented
164#2492C2212yescomplemented
165#2492C2212yescomplemented
166#2492C2212yescomplemented
167#2489C2212yescomplemented
168#2489C2212yescomplemented
169#2489C2212yescomplemented
170#2489C2212yescomplemented
171#2488C2214yes—
172#2488C2214yes—
173#2488C2214yes—
174#2488C2214yes—
175#2486C2214yescomplemented
176#2484C2214yescomplemented
177#2484C2214yescomplemented
178#2483C2214yes—
179#2483C2214yes—
180#2454C2211yescharacteristic, complemented
181#2454C2212yescomplemented
182#2454C2211yescharacteristic, complemented
183#2453C2212yescomplemented
184#2453C2212yescomplemented
185#2453C2211yescharacteristic, complemented
186#2453C2212yescomplemented
187#2453C2212yescomplemented
188#2453C2212yescomplemented
189#2453C2211yescharacteristic, complemented
190#2452C2211yescharacteristic, complemented
191#2452C2212yescomplemented
192#2452C2211yescharacteristic, complemented
193#2451C2212yescomplemented
194#2451C2212yescomplemented
195#2451C2211yescharacteristic, complemented
196#2451C2212yescomplemented
197#2451C2212yescomplemented
198#2451C2212yescomplemented
199#2451C2211yescharacteristic, complemented
200#2450C2212yes—
201#2450C2214yes—
202#2450C2212yes—
203#2449C2212yes—
204#2449C2214yes—
205#2449C2212yes—
206#2447C2212yes—
207#2447C2212yes—
208#2447C2212yes—
209#2447C2212yes—
210#2447C2212yes—
211#2447C2212yes—
212#2447C2212yes—
213#2447C2212yes—
214#2447C2212yes—
215#2447C2212yes—
216#2447C2212yes—
217#2447C2212yes—
218#2447C2212yes—
219#2447C2212yes—
220#2447C2212yes—
221#2447C2212yes—
222#2447C2212yes—
223#2447C2212yes—
224#2447C2212yes—
225#2447C2212yes—
226#2445C2212yes—
227#2445C2212yes—
228#2445C2212yes—
229#2445C2212yes—
230#2440C2212yes—
231#2440C2214yes—
232#2440C2212yes—
233#2438C2214yes—
234#2438C2214yes—
235#2438C2214yes—
236#2438C2214yes—
237#2434C2214yescomplemented
238#2422C2212yes—
239#2422C2212yes—
240#2422C2212yes—
241#2422C2212yes—
242#2420C2212yes—
243#2420C2212yes—
244#2420C2212yes—
245#2420C2212yes—
246#2415C2214yescomplemented
247#2415C2214yescomplemented
248#2413C2214yescomplemented
249#2413C2214yescomplemented
250#2412C2214yes—
251#2412C2214yes—
252#2409C2214yescomplemented
253#2399C2212yescomplemented
254#2399C2212yescomplemented
255#2396C2212yescomplemented
256#2396C2212yescomplemented
257C2×#397C2212yes—
258C2×#397C2212yes—
259#2357C2212yes—
260#2357C2212yes—
261#2354C2212yes—
262#2354C2212yes—
263#2342C2214yes—
264#2342C2214yes—
265#2322C2214yescomplemented
266#2322C2214yescomplemented
267#2319C2212yes—
268#2319C2212yes—
269#2317C2211yescharacteristic
270#2317C2211yescharacteristic
271#2317C2214yescomplemented
272#2316C2211yescharacteristic
273#2311C2211yescharacteristic
274#2311C2211yescharacteristic
275#2310C2211yescharacteristic
276#2310C2211yescharacteristic
277#2310C2214yescomplemented
278#2309C2211yescharacteristic
279C4×C4⋊Q8C2212yescomplemented
280C4×C4⋊Q8C2212yescomplemented
281C4×C22⋊Q8C2212yescomplemented
282C4×C22⋊Q8C2212yescomplemented
283#2297C2211yescharacteristic
284#2297C2211yescharacteristic
285#2296C2211yescharacteristic
286#2296C2211yescharacteristic
287#2296C2211yescharacteristic
288#2296C2211yescharacteristic
289C2×#391C2211yescharacteristic
290C2×#391C2211yescharacteristic
291#2293C2212yes—
292#2293C2212yes—
293C2×#390C2211yescharacteristic
294C2×#389C2211yescharacteristic
295C2×#385C2212yes—
296#2285C2211yescharacteristic
297C2×#381C2212yes—
298#2274C2211yescharacteristic
299C4×#117C2211yescharacteristic
300C2×C4×C4⋊C4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C23×Q8C2311yescharacteristic
303C23×Q8C2314yes—
304C23×D4C2311yescharacteristic
305C24×C4C2312yes—
306#559—216no—
307#559—216no—
308#556—216no—
309#556—216no—
310#554—216no—
311#554—216no—
312#554—216no—
313#554—216no—
314#554—216no—
315#554—216no—
316#551—232no—
317#551—232no—
318D4×Q8—216no—
319D4×Q8—216no—
320#544—28no—
321#544—28no—
322#543—232no—
323#542—216no—
324#542—216no—
325#536—28no—
326#535—28no—
327#533—28no—
328#533—28no—
329#533—28no—
330C2×C4⋊Q8C2312yes—
331C2×C4⋊Q8C2312yes—
332C2×C4⋊Q8C2312yes—
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2314yes—
344C2×#127C2312yes—
345#529—216no—
346#529—216no—
347C2×#126C2314yes—
348C2×#126C2314yes—
349C2×#126C2314yes—
350C2×#126C2314yes—
351C2×#125C2312yes—
352C2×#125C2312yes—
353C2×#125C2311yescharacteristic
354C2×#125C2311yescharacteristic
355C2×#125C2311yescharacteristic
356C2×#125C2311yescharacteristic
357C2×#125C2311yescharacteristic
358C2×#125C2311yescharacteristic
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#124—28no—
362C2×#124C2312yes—
363C2×#124C2312yes—
364C2×#124C2312yes—
365C2×#124C2312yes—
366C2×#124C2312yes—
367C2×#124C2314yes—
368C2×#124C2314yes—
369C2×#124C2312yes—
370C2×#123C2314yes—
371C2×#123C2314yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×C22⋊Q8—232no—
380C2×C22⋊Q8C2314yes—
381C2×C22⋊Q8C2314yes—
382C2×C22⋊Q8C2314yes—
383C2×C22⋊Q8C2314yes—
384C2×C22⋊Q8C2314yes—
385C2×C22⋊Q8C2314yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2314yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2314yes—
407C2×#121C2312yes—
408C2×#121C2312yes—
409C2×#120C2314yes—
410#519—28no—
411#518—28no—
412#518D4116yes—
413C4×#41—28no—
414C2×C4×Q8C2312yes—
415C2×C4×Q8C2312yes—
416C2×C4×Q8C2312yes—
417C2×C4×Q8C2312yes—
418C2×C4×Q8C2312yes—
419C2×C4×Q8C2312yes—
420C2×C4×Q8C2312yes—
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2311yescharacteristic
423C2×C4×Q8C2311yescharacteristic
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2312yes—
426C2×C4×D4—28no—
427C2×C4×D4C2314yes—
428C2×C4×D4C2314yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2311yescharacteristic
436C2×C4×D4C2311yescharacteristic
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×#117C2311yescharacteristic
446C2×#117C2311yescharacteristic
447C2×#117C2311yescharacteristic
448C2×#117C2311yescharacteristic
449C2×#117C2314yes—
450C2×#117C2311yescharacteristic
451C2×#117C2314yes—
452C2×#117C2312yes—
453C2×#117C2314yes—
454C2×#117C2314yes—
455C2×#117C2314yes—
456C2×#117C2311yescharacteristic
457C2×#117C2311yescharacteristic
458C22×C4⋊C4C2311yescharacteristic
459C22×C4⋊C4C2311yescharacteristic
460C22×C4⋊C4C2314yes—
461C22×C4⋊C4C2314yes—
462C22×C4⋊C4C2314yes—
463C22×C4⋊C4C2311yescharacteristic
464C22×C4⋊C4C2311yescharacteristic
465C22×C4⋊C4C2312yes—
466C22×C22⋊C4C2312yes—
467C22×C22⋊C4C2312yes—
468C22×C22⋊C4C2312yes—
469C22×C22⋊C4C2314yes—
470C22×C22⋊C4C2312yes—
471C22×C22⋊C4C2312yes—
472C22×C22⋊C4C2314yes—
473C22×C42C2312yes—
474C22×C42C2311yescharacteristic
475C22×C42C2311yescharacteristic
476C22×C42C2311yescharacteristic
477#400C2312yes—
478#400C2314yes—
479#400C2314yes—
480#400C2314yes—
481#400C2314yes—
482#400C2314yes—
483#400C2314yes—
484#400C2314yes—
485#400C2314yes—
486#400C2314yes—
487#400C2314yes—
488#400C2314yes—
489#400C2314yes—
490#400C2314yes—
491#400C2312yes—
492#399C2312yes—
493#399C2314yes—
494#399C2312yes—
495#398C2314yes—
496#398C2314yes—
497#398C2314yes—
498#398C2314yes—
499#398C2314yes—
500#398C2314yes—
501#398C2314yes—
502#398C2314yes—
503#398C2314yes—
504#398C2314yes—
505#398C2312yes—
506#398C2312yes—
507#398C2314yes—
508#398C2314yes—
509#398C2312yes—
510#398C2314yes—
511#398C2312yes—
512#398C2312yes—
513#398C2312yes—
514#398C2312yes—
515#398C2312yes—
516#398C2314yes—
517#398C2312yes—
518#398C2312yes—
519#398C2312yes—
520#398C2312yes—
521#397C2314yes—
522#397C2314yes—
523#397C2314yes—
524#397C2314yes—
525#397C2314yes—
526#397C2314yes—
527#397C2314yes—
528#397C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#397C2314yes—
533#397C2314yes—
534#397C2314yes—
535#397C2314yes—
536#397C2314yes—
537#397C2314yes—
538#397C2314yes—
539#397C2314yes—
540#397C2314yes—
541#397C2314yes—
542#397C2314yes—
543#397C2314yes—
544#397C2314yes—
545#397C2314yes—
546#397C2314yes—
547#397C2314yes—
548#397C2314yes—
549#396C2314yes—
550#396C2314yes—
551#396C2312yes—
552#396C2312yes—
553#396C2312yes—
554#396C2312yes—
555#395C2312yes—
556#395C2312yes—
557#395C2312yes—
558#395C2314yes—
559#395C2314yes—
560#395C2314yes—
561#395C2314yes—
562#395C2314yes—
563#395C2314yes—
564#395C2314yes—
565#395C2314yes—
566#395C2314yes—
567#395C2312yes—
568#395C2312yes—
569#395C2312yes—
570#395C2312yes—
571#395C2312yes—
572#395C2312yes—
573#395C2312yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#393C2314yes—
583#393C2314yes—
584#393C2312yes—
585#393C2314yes—
586#393C2314yes—
587#393C2314yes—
588#393C2312yes—
589#391C2312yes—
590#391C2312yes—
591#391C2312yes—
592#391C2312yes—
593#391C2312yes—
594#391C2312yes—
595#391C2312yes—
596#391C2312yes—
597#391C2312yes—
598#391C2312yes—
599#391C2312yes—
600#391C2312yes—
601#391C2312yes—
602#391C2312yes—
603#391C2312yes—
604#391C2314yes—
605#391C2314yes—
606#391C2314yes—
607#391C2314yes—
608#391C2314yes—
609#391C2314yes—
610#391C2312yes—
611#391C2312yes—
612#391C2314yes—
613#391C2311yescharacteristic
614#391C2311yescharacteristic
615#391C2312yes—
616#391C2312yes—
617#391C2314yes—
618#391C2314yes—
619#391C2312yes—
620#391C2312yes—
621#391C2314yes—
622#391C2312yes—
623#391C2311yescharacteristic
624#391C2314yes—
625#391C2312yes—
626#391C2312yes—
627#391C2311yescharacteristic
628#390C2312yes—
629#390C2312yes—
630#390C2312yes—
631#390C2312yes—
632#390C2312yes—
633#390C2312yes—
634#390C2312yes—
635#390C2311yescharacteristic
636#390C2311yescharacteristic
637#390C2311yescharacteristic
638#390C2312yes—
639#390C2312yes—
640#390C2311yescharacteristic
641#390C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2312yes—
650#389C2311yescharacteristic
651#389C2312yes—
652#389C2312yes—
653#389C2314yes—
654#389C2312yes—
655#389C2314yes—
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2312yes—
660#389C2312yes—
661#389C2312yes—
662#389C2312yes—
663#389C2314yes—
664#389C2314yes—
665#389C2311yescharacteristic
666#389C2311yescharacteristic
667#389C2314yes—
668#389C2314yes—
669#389C2311yescharacteristic
670#389C2311yescharacteristic
671#389C2311yescharacteristic
672#389C2311yescharacteristic
673#389C2314yes—
674#389C2311yescharacteristic
675#389C2311yescharacteristic
676#389C2314yes—
677#389C2314yes—
678#389C2312yes—
679#389C2311yescharacteristic
680#389C2312yes—
681#389C2311yescharacteristic
682#389C2312yes—
683#389C2311yescharacteristic
684#389C2312yes—
685#389C2311yescharacteristic
686#389C2311yescharacteristic
687#389C2311yescharacteristic
688#389C2311yescharacteristic
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2312yes—
716#387C2312yes—
717#387C2312yes—
718#387C2312yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2312yes—
724#386C2314yes—
725#386C2312yes—
726#386C2314yes—
727#386C2312yes—
728#386C2312yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2312yes—
736#385C2312yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2312yes—
741#385C2314yes—
742#385C2312yes—
743#385C2312yes—
744#385C2312yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2312yes—
750#385C2312yes—
751#385C2314yes—
752#385C2314yes—
753#385C2312yes—
754#385C2312yes—
755#385C2312yes—
756#385C2312yes—
757#384C2312yes—
758#384C2312yes—
759#384C2311yescharacteristic
760#384C2312yes—
761#384C2311yescharacteristic
762#384C2314yes—
763#384C2312yes—
764#382C2311yescharacteristic
765#382C2312yes—
766#382C2311yescharacteristic
767#382C2314yes—
768#382C2314yes—
769#382C2312yes—
770#382C2314yes—
771#382C2314yes—
772#381C2314yes—
773#381C2314yes—
774#381C2314yes—
775#381C2314yes—
776#381C2314yes—
777#381C2314yes—
778#381C2314yes—
779#381C2314yes—
780#381C2314yes—
781#381C2314yes—
782#381C2314yes—
783#381C2314yes—
784#381C2314yes—
785#381C2314yes—
786#381C2314yes—
787#381C2314yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2312yes—
792#380C2314yes—
793#380C2314yes—
794#380C2314yes—
795#380C2314yes—
796#380C2312yes—
797#380C2312yes—
798#380C2312yes—
799#380C2312yes—
800#379C2314yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2312yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836#376C2312yes—
837C2×#95C2312yes—
838C2×#95C2311yescharacteristic
839C2×#95C2312yes—
840C2×#95C2312yes—
841C2×#95C2312yes—
842C2×#95C2312yes—
843C2×#95C2311yescharacteristic
844C43C2312yes—
845C25C2412yes—
846C2×#41—24no—
847C2×#41—24no—
848C2×#41—24no—
849C22×Q8—24no—
850C22×Q8—216no—
851C22×Q8—24no—
852C22×Q8—24no—
853C22×Q8—48no—
854C22×Q8—84no—
855C22×Q8C2412yes—
856C22×Q8C2412yes—
857C22×Q8C2411yescharacteristic
858C22×Q8C2412yes—
859C22×Q8C2412yes—
860C22×Q8C2412yes—
861C22×Q8C2412yes—
862C22×Q8C2412yes—
863C22×Q8C2412yes—
864C22×Q8C2414yes—
865C22×Q8C2414yes—
866C22×D4—24no—
867C22×D4—24no—
868C22×D4C2×D418yes—
869C22×D4C2412yes—
870C22×D4C2411yescharacteristic
871C22×D4C2412yes—
872C22×D4C2412yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C23×C4—28no—
876C23×C4—44no—
877C23×C4—82no—
878C23×C4C2412yes—
879C23×C4C2412yes—
880C23×C4C2411yescharacteristic
881C23×C4C2414yes—
882C23×C4C2411yescharacteristic
883C23×C4C2411yescharacteristic
884C23×C4C2412yes—
885C23×C4C2411yescharacteristic
886C23×C4C2411yescharacteristic
887C23×C4C2411yescharacteristic
888C23×C4C2414yes—
889C23×C4C2412yes—
890C23×C4C2414yes—
891C23×C4C2414yes—
892C23×C4C2412yes—
893C23×C4C2412yes—
894C23×C4C2414yes—
895C23×C4C2414yes—
896C23×C4C2411yescharacteristic
897C4⋊Q8—24no—
898C4⋊Q8—24no—
899C4⋊Q8—24no—
900C4⋊Q8—24no—
901C4⋊Q8—24no—
902C4⋊Q8—24no—
903C4⋊Q8—28no—
904C4⋊Q8—28no—
905C4⋊Q8—28no—
906C4⋊Q8—28no—
907C4⋊Q8—28no—
908C4⋊Q8—44no—
909C4⋊Q8—44no—
910C4⋊Q8—84no—
911#127—28no—
912#126—216no—
913#126—216no—
914#126—216no—
915#126—216no—
916#125—24no—
917#125—24no—
918#125—24no—
919#125—24no—
920#125—24no—
921#125—24no—
922#125—28no—
923#125—28no—
924#125—28no—
925#125—28no—
926#124—28no—
927#124—28no—
928#124—28no—
929#124—28no—
930#124—28no—
931#124—216no—
932#124—216no—
933#124—28no—
934#123—216no—
935#123—216no—
936#123—216no—
937#123—216no—
938#123—216no—
939#123—48no—
940#123—48no—
941#123—84no—
942#123—84no—
943C22⋊Q8—216no—
944C22⋊Q8—216no—
945C22⋊Q8—216no—
946C22⋊Q8—216no—
947C22⋊Q8—216no—
948C22⋊Q8—216no—
949C22⋊Q8—28no—
950C22⋊Q8—28no—
951C22⋊Q8—28no—
952C22⋊Q8—28no—
953C22⋊Q8—216no—
954C22⋊Q8—216no—
955C22⋊Q8—216no—
956C22⋊Q8—216no—
957C22⋊Q8—216no—
958C22⋊Q8—216no—
959C22⋊Q8—28no—
960C22⋊Q8—28no—
961C22⋊Q8—28no—
962C22⋊Q8—28no—
963C22⋊Q8—216no—
964C22⋊Q8—216no—
965C22⋊Q8—216no—
966C22⋊Q8—216no—
967C22⋊Q8—44no—
968C22⋊Q8—44no—
969C22⋊Q8—84no—
970#121—28no—
971#121—28no—
972#120—216no—
973C4×Q8—24no—
974C4×Q8—24no—
975C4×Q8—28no—
976C4×Q8—28no—
977C4×Q8—28no—
978C4×Q8—28no—
979C4×Q8—28no—
980C4×Q8—28no—
981C4×Q8—28no—
982C4×Q8—28no—
983C4×Q8—28no—
984C4×Q8—28no—
985C4×D4—28no—
986C4×D4—28no—
987C4×D4—28no—
988C4×D4—28no—
989C4×D4—28no—
990C4×D4—28no—
991C4×D4—28no—
992C4×D4—28no—
993C4×D4—216no—
994C4×D4—216no—
995C4×D4—24no—
996C4×D4—24no—
997C4×D4—28no—
998C4×D4—28no—
999C4×D4C2×D4116yes—
1000C4×D4C2×D4116yes—
1001C4×D4C2×D4116yes—
1002C4×D4C2×D4116yes—
1003#117—24no—
1004#117—24no—
1005#117—24no—
1006#117—216no—
1007#117—216no—
1008#117—24no—
1009#117—24no—
1010#117—216no—
1011#117—28no—
1012#117—48no—
1013#117—84no—
1014#117C2×D418yes—
1015#117C2×D418yes—
1016C2×C4⋊C4—24no—
1017C2×C4⋊C4—216no—
1018C2×C4⋊C4—216no—
1019C2×C4⋊C4—216no—
1020C2×C4⋊C4—24no—
1021C2×C4⋊C4—42no—
1022C2×C4⋊C4—42no—
1023C2×C4⋊C4—82no—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C22⋊C4—28no—
1109C2×C22⋊C4—216no—
1110C2×C22⋊C4—28no—
1111C2×C22⋊C4—28no—
1112C2×C22⋊C4—44no—
1113C2×C22⋊C4—82no—
1114C2×C22⋊C4C2×D4132yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C42—24no—
1159C2×C42—24no—
1160C2×C42—24no—
1161C2×C42—28no—
1162C2×C42C2414yes—
1163C2×C42C2414yes—
1164C2×C42C2412yes—
1165C2×C42C2412yes—
1166C2×C42C2411yescharacteristic
1167C2×C42C2412yes—
1168C2×C42C2412yes—
1169C2×C42C2412yes—
1170C2×C42C2412yes—
1171C2×C42C2412yes—
1172C2×C42C2412yes—
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177C2×C42C2411yescharacteristic
1178C2×C42C2411yescharacteristic
1179C2×C42C2411yescharacteristic
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183C2×C42C2411yescharacteristic
1184C2×C42C2412yes—
1185C2×C42C2414yes—
1186C2×C42C2414yes—
1187C2×C42C2412yes—
1188C2×C42C2412yes—
1189C2×C42C2412yes—
1190C2×C42C2412yes—
1191#95C2411yescharacteristic
1192#95C2411yescharacteristic
1193#95C2411yescharacteristic
1194#95C2411yescharacteristic
1195#95C2411yescharacteristic
1196#95C2411yescharacteristic
1197#95C2411yescharacteristic
1198#95C2411yescharacteristic
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261C24—24no—
1262C24—24no—
1263C24—42no—
1264C24—42no—
1265C24—42no—
1266C24—42no—
1267C24C22×D418yes—
1268C24C2512yes—
1269C24C2514yes—
1270C24C2511yescharacteristic
1271#41—416no—
1272C2×Q8—24no—
1273C2×Q8—24no—
1274C2×Q8—22no—
1275C2×Q8—24no—
1276C2×Q8—24no—
1277C2×Q8—24no—
1278C2×Q8—24no—
1279C2×Q8—24no—
1280C2×Q8—24no—
1281C2×Q8—28no—
1282C2×Q8—28no—
1283C2×Q8—24no—
1284C2×Q8—24no—
1285C2×Q8—24no—
1286C2×Q8—24no—
1287C2×Q8—22no—
1288C2×Q8—22no—
1289C2×Q8—24no—
1290C2×Q8—24no—
1291C2×Q8—42no—
1292C2×Q8—42no—
1293C2×Q8—42no—
1294C2×Q8—44no—
1295C2×Q8—42no—
1296C2×Q8—42no—
1297C2×Q8—42no—
1298C2×Q8—42no—
1299C2×Q8—44no—
1300C2×Q8—44no—
1301C2×Q8—44no—
1302C2×Q8—42no—
1303C2×Q8—42no—
1304C2×Q8—42no—
1305C2×Q8—416no—
1306C2×Q8—832no—
1307C2×D4—24no—
1308C2×D4—24no—
1309C2×D4—24no—
1310C2×D4—28no—
1311C2×D4—28no—
1312C2×D4—232no—
1313C2×D4—22no—
1314C2×D4—24no—
1315C2×D4—24no—
1316C2×D4—24no—
1317C2×D4—24no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4C22×D418yes—
1325C2×D4C22×D418yes—
1326C22×C4—22no—
1327C22×C4—24no—
1328C22×C4—28no—
1329C22×C4—22no—
1330C22×C4—24no—
1331C22×C4—24no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—28no—
1336C22×C4—28no—
1337C22×C4—24no—
1338C22×C4—28no—
1339C22×C4—22no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—24no—
1343C22×C4—24no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—28no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—41no—
1350C22×C4—44no—
1351C22×C4—44no—
1352C22×C4—41no—
1353C22×C4—44no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—42no—
1357C22×C4—41no—
1358C22×C4—42no—
1359C22×C4—41no—
1360C22×C4—41no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—42no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—42no—
1367C22×C4—44no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—42no—
1371C22×C4—44no—
1372C22×C4—42no—
1373C22×C4—41no—
1374C22×C4—41no—
1375C22×C4—44no—
1376C22×C4—41no—
1377C22×C4—44no—
1378C22×C4—816no—
1379C22×C4C22×D4116yes—
1380C22×C4C22×D4116yes—
1381C22×C4C22×D414yes—
1382C22×C42−1+414yes—
1383C22×C42−1+414yes—
1384C22×C4C2511yescharacteristic
1385C22×C4C2512yes—
1386C22×C4C2511yescharacteristic
1387C22×C4C2511yescharacteristic
1388C22×C4C2514yes—
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2512yes—
1392C22×C4C2514yes—
1393C22×C4C2512yes—
1394C22×C4C2511yescharacteristic
1395C22×C4C2512yes—
1396C22×C4C2511yescharacteristic
1397C22×C4C2511yescharacteristic
1398C22×C4C2511yescharacteristic
1399C22×C4C2511yescharacteristic
1400C22×C4C2512yes—
1401C22×C4C2512yes—
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2514yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2512yes—
1407C22×C4C2511yescharacteristic
1408C22×C4C2512yes—
1409C22×C4C2512yes—
1410C22×C4C2512yes—
1411C22×C4C2512yes—
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C4⋊C4—24no—
1417C4⋊C4—24no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—28no—
1425C4⋊C4—28no—
1426C4⋊C4—28no—
1427C4⋊C4—28no—
1428C4⋊C4—28no—
1429C4⋊C4—28no—
1430C4⋊C4—24no—
1431C4⋊C4—24no—
1432C4⋊C4—22no—
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—28no—
1441C4⋊C4—28no—
1442C4⋊C4—28no—
1443C4⋊C4—28no—
1444C4⋊C4—24no—
1445C4⋊C4—24no—
1446C4⋊C4—24no—
1447C4⋊C4—24no—
1448C4⋊C4—24no—
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—24no—
1452C4⋊C4—24no—
1453C4⋊C4—24no—
1454C4⋊C4—24no—
1455C4⋊C4—24no—
1456C4⋊C4—22no—
1457C4⋊C4—22no—
1458C4⋊C4—22no—
1459C4⋊C4—22no—
1460C4⋊C4—22no—
1461C4⋊C4—22no—
1462C4⋊C4—22no—
1463C4⋊C4—22no—
1464C4⋊C4—24no—
1465C4⋊C4—24no—
1466C4⋊C4—24no—
1467C4⋊C4—41no—
1468C4⋊C4—41no—
1469C4⋊C4—41no—
1470C4⋊C4—41no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
1473C4⋊C4—42no—
1474C4⋊C4—42no—
1475C4⋊C4—42no—
1476C4⋊C4—42no—
1477C4⋊C4—42no—
1478C4⋊C4—44no—
1479C4⋊C4—42no—
1480C4⋊C4—44no—
1481C4⋊C4—42no—
1482C4⋊C4—42no—
1483C4⋊C4—42no—
1484C4⋊C4—42no—
1485C4⋊C4—44no—
1486C4⋊C4—44no—
1487C4⋊C4—42no—
1488C4⋊C4—42no—
1489C4⋊C4—44no—
1490C4⋊C4—44no—
1491C4⋊C4—42no—
1492C4⋊C4—42no—
1493C4⋊C4—42no—
1494C4⋊C4—42no—
1495C4⋊C4—42no—
1496C4⋊C4C22×D414yes—
1497C4⋊C4C22×D414yes—
1498C4⋊C4C22×D414yes—
1499C4⋊C4C22×D414yes—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—28no—
1503C22⋊C4—28no—
1504C22⋊C4—28no—
1505C22⋊C4—28no—
1506C22⋊C4—28no—
1507C22⋊C4—28no—
1508C22⋊C4—28no—
1509C22⋊C4—28no—
1510C22⋊C4—24no—
1511C22⋊C4—28no—
1512C22⋊C4—28no—
1513C22⋊C4—24no—
1514C22⋊C4—24no—
1515C22⋊C4—24no—
1516C22⋊C4—24no—
1517C22⋊C4—28no—
1518C22⋊C4—28no—
1519C22⋊C4—28no—
1520C22⋊C4—24no—
1521C22⋊C4—24no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—42no—
1526C22⋊C4—44no—
1527C22⋊C4—42no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—42no—
1538C22⋊C4—42no—
1539C22⋊C4C22×D418yes—
1540C22⋊C4C22×D418yes—
1541C22⋊C4C22×D4116yes—
1542C22⋊C4C22×D4116yes—
1543C42—22no—
1544C42—24no—
1545C42—24no—
1546C42—22no—
1547C42—22no—
1548C42—22no—
1549C42—22no—
1550C42—22no—
1551C42—22no—
1552C42—22no—
1553C42—28no—
1554C42—28no—
1555C42—24no—
1556C42—24no—
1557C42—24no—
1558C42—22no—
1559C42—22no—
1560C42—22no—
1561C42—22no—
1562C42—24no—
1563C42—24no—
1564C42—24no—
1565C42—42no—
1566C42—44no—
1567C42—42no—
1568C42—44no—
1569C42—42no—
1570C42C22×D418yes—
1571C42C22×D418yes—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—24no—
1577C23—24no—
1578C23—24no—
1579C23—24no—
1580C23—24no—
1581C23—24no—
1582C23—216no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—22no—
1587C23—22no—
1588C23—22no—
1589C23—22no—
1590C23—48no—
1591C23—48no—
1592C23—84no—
1593C23—84no—
1594C23—84no—
1595C23—84no—
1596C23C23×D418yes—
1597C23C23×D412yes—
1598C23C2×2−1+412yes—
1599C23C2×2−1+412yes—
1600C23C2611yescharacteristic
1601Q8—48no—
1602Q8—48no—
1603Q8—48no—
1604Q8—48no—
1605Q8—44no—
1606Q8—84no—
1607Q8—84no—
1608Q8—84no—
1609Q8—84no—
1610Q8—88no—
1611Q8—88no—
1612D4—216no—
1613D4—216no—
1614D4—48no—
1615D4—44no—
1616D4—88no—
1617D4—88no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—24no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—24no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—24no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—24no—
1657C2×C4—24no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—24no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—22no—
1667C2×C4—21no—
1668C2×C4—24no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—24no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—24no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—21no—
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—22no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—22no—
1702C2×C4—416no—
1703C2×C4—416no—
1704C2×C4—44no—
1705C2×C4—44no—
1706C2×C4—416no—
1707C2×C4—48no—
1708C2×C4—48no—
1709C2×C4—84no—
1710C2×C4—84no—
1711C2×C4—82no—
1712C2×C4—82no—
1713C2×C4—88no—
1714C2×C4—82no—
1715C2×C4—82no—
1716C2×C4—84no—
1717C2×C4—88no—
1718C2×C4—84no—
1719C2×C4—88no—
1720C2×C4#536116yes—
1721C2×C4C23×D414yes—
1722C2×C4C23×D414yes—
1723C2×C4C23×D414yes—
1724C2×C4C23×D414yes—
1725C2×C4C23×D412yes—
1726C2×C4C23×D412yes—
1727C2×C4C2×2−1+412yes—
1728C2×C4C2×2−1+412yes—
1729C2×C4C2×2−1+412yes—
1730C2×C4C2×2−1+412yes—
1731C2×C4#58512yes—
1732C2×C4#58512yes—
1733C22—22no—
1734C22—22no—
1735C22—22no—
1736C22—22no—
1737C22—22no—
1738C22—22no—
1739C22—28no—
1740C22—28no—
1741C22—28no—
1742C22—44no—
1743C22—44no—
1744C22—44no—
1745C22—44no—
1746C22—42no—
1747C22—42no—
1748C22—42no—
1749C22—42no—
1750C22—42no—
1751C22—42no—
1752C22—42no—
1753C22—816no—
1754C22C2×#53614yes—
1755C22C24×D411yescharacteristic
1756C22C22×2−1+411yescharacteristic
1757C22C22×2−1+411yescharacteristic
1758C22C2×#58511yescharacteristic
1759C22C2×#58511yescharacteristic
1760C22H(7,𝔽2)11yescharacteristic
1761C222−1+611yescharacteristic
1762C4—22no—
1763C4—24no—
1764C4—24no—
1765C4—24no—
1766C4—24no—
1767C4—22no—
1768C4—41no—
1769C4—44no—
1770C4—41no—
1771C4—42no—
1772C4—42no—
1773C4—41no—
1774C4—42no—
1775C4—41no—
1776C4—42no—
1777C4—42no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—42no—
1782C4—42no—
1783C4—41no—
1784C4—42no—
1785C4—41no—
1786C4—41no—
1787C4—42no—
1788C4—42no—
1789C4—44no—
1790C4—42no—
1791C4—44no—
1792C4C2×#53614yes—
1793C4C2×#53614yes—
1794C2—24no—
1795C2—48no—
1796C2—82no—
1797C2C22×#53611yescharacteristic
1798C2#6283111yescharacteristic
1799C2#6287911yescharacteristic
1800C2#6293211yescharacteristic
1801C2#6296211yescharacteristic
1802C2#6298711yescharacteristic
1803C2#6298811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#535C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#3501C2semidirect
3. #42678C2semidirect
4. #42676C2semidirect
5. #42676C2semidirect
6. #42647C2semidirect
7. #42481C2semidirect
8. #42442C2semidirect
9. #42442C2semidirect
10. #42427C2semidirect
11. #40511C2semidirect
12. #40511C2semidirect
13. #39949C2semidirect
14. #39949C2semidirect
15. #39880C2semidirect
16. #39880C2semidirect
17. #39490C2semidirect
18. #38954C2semidirect
19. #38921C2semidirect
20. #38911C2semidirect
21. #38037C2semidirect
22. #37835C2semidirect
23. #35668C2semidirect
24. #35662C2semidirect
25. #35628C2semidirect
26. #35626C2semidirect
27. #35566C2semidirect
29. #35312C2semidirect
30. #35257C2semidirect
32. #34938C2semidirect
33. #34745C2semidirect
34. C2×#2447C2semidirect
35. #34255C2semidirect
71. #2862C22semidirect
72. #2861C22semidirect
73. #2857C22semidirect
74. #2851C22semidirect
76. #2817C22semidirect
77. #2817C22semidirect
78. #2814C22semidirect
79. #2814C22semidirect
80. #2700C22semidirect
81. #2700C22semidirect
82. #2700C22semidirect
83. #2700C22semidirect
84. #2698C22semidirect
85. #2698C22semidirect
86. #2698C22semidirect
87. #2698C22semidirect
88. #2698C22semidirect
89. #2698C22semidirect
90. #2698C22semidirect
91. #2698C22semidirect
92. #2689C22semidirect
93. #2689C22semidirect
94. #2689C22semidirect
95. #2689C22semidirect
96. #2689C22semidirect
97. #2689C22semidirect
98. #2689C22semidirect
99. #2689C22semidirect
100. #2687C22semidirect
101. #2687C22semidirect
102. #2687C22semidirect
103. #2687C22semidirect
104. #2680C22semidirect
105. #2680C22semidirect
106. #2680C22semidirect
107. #2680C22semidirect
108. #2674C22semidirect
109. #2674C22semidirect
110. #2674C22semidirect
111. #2674C22semidirect
112. #2663C22semidirect
113. #2663C22semidirect
114. #2642C22semidirect
115. #2640C22semidirect
116. #2638C22semidirect
117. #2638C22semidirect
118. #2629C22semidirect
119. #2628C22semidirect
120. #2627C22semidirect
121. #2627C22semidirect
122. #2625C22semidirect
123. #2625C22semidirect
124. #2623C22semidirect
126. #2621C22semidirect
127. #2621C22semidirect
128. #2614C22semidirect
129. #2592C22semidirect
130. #2592C22semidirect
131. #2584C22semidirect
132. #2584C22semidirect
133. #2582C22semidirect
134. #2582C22semidirect
135. #2581C22semidirect
136. #2581C22semidirect
137. #2568C22semidirect
138. #2568C22semidirect
139. #2568C22semidirect
140. #2567C22semidirect
141. #2567C22semidirect
142. #2565C22semidirect
143. #2565C22semidirect
144. #2552C22semidirect
145. #2552C22semidirect
146. #2552C22semidirect
147. #2551C22semidirect
148. #2551C22semidirect
149. #2551C22semidirect
150. #2550C22semidirect
151. #2550C22semidirect
152. #2550C22semidirect
153. #2550C22semidirect
154. #2550C22semidirect
155. #2550C22semidirect
159. #2546C22semidirect
160. #2503C22semidirect
161. #2499C22semidirect
162. #2499C22semidirect
163. #2492C22semidirect
164. #2492C22semidirect
165. #2492C22semidirect
166. #2492C22semidirect
167. #2489C22semidirect
168. #2489C22semidirect
169. #2489C22semidirect
170. #2489C22semidirect
175. #2486C22semidirect
176. #2484C22semidirect
177. #2484C22semidirect
180. #2454C22semidirect
181. #2454C22semidirect
182. #2454C22semidirect
183. #2453C22semidirect
184. #2453C22semidirect
185. #2453C22semidirect
186. #2453C22semidirect
187. #2453C22semidirect
188. #2453C22semidirect
189. #2453C22semidirect
190. #2452C22semidirect
191. #2452C22semidirect
192. #2452C22semidirect
193. #2451C22semidirect
194. #2451C22semidirect
195. #2451C22semidirect
196. #2451C22semidirect
197. #2451C22semidirect
198. #2451C22semidirect
199. #2451C22semidirect
237. #2434C22semidirect
246. #2415C22semidirect
247. #2415C22semidirect
248. #2413C22semidirect
249. #2413C22semidirect
252. #2409C22semidirect
253. #2399C22semidirect
254. #2399C22semidirect
255. #2396C22semidirect
256. #2396C22semidirect
265. #2322C22semidirect
266. #2322C22semidirect
271. #2317C22semidirect
277. #2310C22semidirect
279. C4×C4⋊Q8C22semidirect
280. C4×C4⋊Q8C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×C22⋊Q8C22semidirect

Maximal subgroups

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

subgroupindex
C2×#35102
C2×#35012
#426782
#426762
#426472
#424812
#424422
#424272
#405112
#399492
#398802
#394902
#389542
#389212
#389112
#380372
#378352
#356682
#356622
#356282
#356262
#355662
#355412
#353122
#352572
#351522
#349382
#347452
C2×#24472
#342552