Finite Group Databasebeta

← #7683809

Subgroups — #7683809

Order 512.

6584 conjugacy classes of subgroups.

The subgroup lattice has 1754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3504C211yesmaximal, characteristic
2C2×#3502C211yesmaximal, characteristic, complemented
3#59833C212yesmaximal, complemented
4#59828C212yesmaximal, complemented
5#59667C212yesmaximal, complemented
6#59655C212yesmaximal, complemented
7#59154C212yesmaximal, complemented
8#59154C212yesmaximal, complemented
9#59149C214yesmaximal, complemented
10#59113C214yesmaximal, complemented
11#59081C212yesmaximal, complemented
12#59067C212yesmaximal, complemented
13#45424C212yesmaximal, complemented
14#45389C212yesmaximal, complemented
15#45277C212yesmaximal, complemented
16#45274C212yesmaximal, complemented
17#45272C212yesmaximal, complemented
18#45139C212yesmaximal, complemented
19#45099C212yesmaximal, complemented
20#44894C212yesmaximal, complemented
21#44449C214yesmaximal, complemented
22#43909C214yesmaximal, complemented
23#35668C211yesmaximal, characteristic, complemented
24#35662C211yesmaximal, characteristic, complemented
25#35640C211yesmaximal, characteristic, complemented
26#35575C211yesmaximal, characteristic
27#35566C211yesmaximal, characteristic, complemented
28#35519C211yesmaximal, characteristic
29#34938C211yesmaximal, characteristic, complemented
30#34745C211yesmaximal, characteristic
31C2×#2453C211yesmaximal, characteristic, complemented
32#34276C211yesmaximal, characteristic
33#34272C211yesmaximal, characteristic, complemented
34#34268C211yesmaximal, characteristic
35#34266C211yesmaximal, characteristic
36#3504—216no—
37#3502—216no—
38C2×Q82C2212yes—
39C2×Q82C2212yes—
40C2×#557C2212yes—
41C2×#557C2212yes—
42C2×#557C2212yes—
43C2×#557C2212yes—
44C2×#557C2212yes—
45C2×#557C2212yes—
46C2×#557C2212yes—
47C2×#557C2212yes—
48C2×#554C2212yes—
49C2×#554C2214yes—
50C2×#554C2212yes—
51C2×#554C2214yes—
52C2×#544C2212yes—
53C2×#544C2211yescharacteristic
54C2×#544C2214yes—
55C2×#544C2211yescharacteristic
56C2×#544C2212yes—
57C2×#544C2211yescharacteristic
58C2×#536C2211yescharacteristic
59C2×#533C2214yes—
60C2×#533C2211yescharacteristic
61C2×#533C2211yescharacteristic
62C2×#533C2211yescharacteristic
63C2×#533C2212yes—
64C22×#125C2212yes—
65C22×#125C2211yescharacteristic
66C2×#520C2211yescharacteristic
67C2×#520C2211yescharacteristic
68C2×#519C2211yescharacteristic
69C2×#519C2211yescharacteristic
70C2×C4×#41C2211yescharacteristic
71C22×C4×Q8C2211yescharacteristic
72#2734C2214yes—
73#2734C2214yes—
74#2729C2214yes—
75#2729C2214yes—
76#2729C2214yes—
77#2729C2214yes—
78#2726C2214yes—
79#2726C2214yes—
80#2726C2214yes—
81#2726C2214yes—
82#2720C2214yes—
83#2720C2214yes—
84#2720C2214yes—
85#2720C2214yes—
86#2713C2214yes—
87#2713C2214yes—
88#2713C2214yes—
89#2713C2214yes—
90#2713C2214yes—
91#2713C2214yes—
92#2704C2214yes—
93#2704C2214yes—
94#2677C2214yes—
95#2677C2214yes—
96#2584C2212yes—
97#2584C2212yes—
98#2583C2214yes—
99#2582C2212yes—
100#2582C2212yes—
101#2582C2212yes—
102#2581C2212yes—
103#2581C2212yes—
104#2581C2212yes—
105#2580C2212yes—
106#2568C2212yes—
107#2567C2212yes—
108#2567C2212yes—
109#2565C2212yes—
110#2565C2212yes—
111#2564C2214yes—
112#2556C2214yes—
113#2556C2214yes—
114#2552C2211yescharacteristic
115#2552C2212yes—
116#2552C2212yes—
117#2552C2212yes—
118#2552C2212yes—
119#2552C2212yes—
120#2552C2211yescharacteristic
121#2551C2212yes—
122#2551C2214yes—
123#2551C2211yescharacteristic
124#2551C2211yescharacteristic
125#2550C2212yes—
126#2550C2212yes—
127#2550C2211yescharacteristic
128#2550C2212yes—
129#2550C2211yescharacteristic
130#2550C2212yes—
131#2550C2212yes—
132#2550C2211yescharacteristic
133#2550C2211yescharacteristic
134#2550C2212yes—
135#2549C2212yes—
136#2549C2212yes—
137#2549C2214yes—
138#2546C2214yes—
139#2546C2212yes—
140#2538C2212yes—
141#2506C2214yes—
142#2506C2214yes—
143#2506C2214yes—
144#2506C2214yes—
145#2502C2214yes—
146#2492C2214yes—
147#2492C2214yes—
148#2473C2214yes—
149#2473C2214yes—
150#2473C2214yes—
151#2473C2214yes—
152#2465C2214yes—
153#2465C2214yes—
154#2462C2214yes—
155#2462C2214yes—
156#2462C2214yes—
157#2462C2214yes—
158#2462C2214yes—
159#2462C2214yes—
160#2454C2211yescharacteristic
161#2454C2212yes—
162#2454C2211yescharacteristic
163#2453C2212yes—
164#2453C2212yes—
165#2453C2212yes—
166#2453C2212yes—
167#2453C2212yes—
168#2453C2212yes—
169#2453C2212yes—
170#2453C2212yes—
171#2453C2212yes—
172#2453C2212yes—
173#2453C2212yes—
174#2453C2212yes—
175#2453C2212yes—
176#2453C2211yescharacteristic
177#2453C2211yescharacteristic
178#2452C2211yescharacteristic
179#2452C2212yes—
180#2452C2211yescharacteristic
181#2451C2211yescharacteristic
182#2451C2212yes—
183#2451C2212yes—
184#2451C2211yescharacteristic
185#2451C2212yes—
186#2451C2212yes—
187#2451C2212yes—
188#2451C2214yes—
189#2451C2214yes—
190#2450C2212yes—
191#2450C2214yes—
192#2450C2212yes—
193#2449C2214yes—
194#2449C2212yes—
195#2449C2212yes—
196#2446C2214yes—
197#2446C2214yes—
198#2446C2214yes—
199#2446C2214yes—
200#2442C2212yes—
201#2442C2212yes—
202#2441C2212yes—
203#2441C2212yes—
204#2440C2214yes—
205#2440C2214yes—
206#2440C2212yes—
207#2440C2214yes—
208#2440C2212yes—
209#2440C2212yes—
210#2440C2212yes—
211#2439C2212yes—
212#2439C2212yes—
213#2438C2214yes—
214#2438C2214yes—
215#2438C2214yes—
216#2438C2214yes—
217#2429C2214yes—
218#2429C2214yes—
219#2429C2214yes—
220#2429C2214yes—
221#2423C2214yes—
222#2423C2214yes—
223#2417C2214yes—
224#2399C2212yes—
225#2399C2212yes—
226#2396C2212yes—
227#2396C2212yes—
228C2×#400C2212yes—
229C2×#398C2212yes—
230#2370C2212yes—
231#2370C2212yes—
232#2369C2212yes—
233#2368C2214yes—
234#2367C2212yes—
235#2367C2212yes—
236#2367C2212yes—
237#2367C2212yes—
238#2365C2214yes—
239#2365C2212yes—
240#2365C2212yes—
241#2365C2212yes—
242#2365C2212yes—
243#2365C2212yes—
244#2362C2212yes—
245#2362C2212yes—
246#2362C2212yes—
247#2362C2212yes—
248#2360C2214yes—
249#2360C2212yes—
250#2360C2212yes—
251#2360C2214yes—
252#2360C2212yes—
253#2360C2212yes—
254#2360C2214yes—
255#2359C2214yes—
256#2359C2214yes—
257#2359C2214yes—
258#2359C2214yes—
259Q8×C4⋊C4C2214yes—
260#2331C2212yes—
261#2330C2212yes—
262#2327C2212yes—
263#2326C2212yes—
264#2323C2212yes—
265#2323C2212yes—
266#2322C2214yes—
267#2317C2211yescharacteristic
268#2317C2211yescharacteristic
269#2317C2211yescharacteristic
270#2316C2211yescharacteristic
271#2311C2211yescharacteristic
272#2310C2211yescharacteristic
273C4×C4⋊Q8C2212yes—
274C4×C4⋊Q8C2212yes—
275C4×C4⋊Q8C2212yes—
276C4×C4⋊Q8C2212yes—
277C4×#125C2212yes—
278C4×#124C2212yes—
279C4×C22⋊Q8C2212yes—
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2212yes—
283C4×#123C2214yes—
284#2297C2211yescharacteristic
285#2297C2211yescharacteristic
286#2296C2211yescharacteristic
287#2296C2211yescharacteristic
288#2296C2211yescharacteristic
289#2296C2211yescharacteristic
290C2×#391C2211yescharacteristic
291C2×#391C2211yescharacteristic
292C2×#389C2211yescharacteristic
293C2×#389C2211yescharacteristic
294C2×#389C2212yes—
295C2×#387C2212yes—
296#2285C2211yescharacteristic
297#2274C2211yescharacteristic
298#2274C2211yescharacteristic
299C4×#117C2211yescharacteristic
300C2×C4×C4⋊C4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C23×Q8C2311yescharacteristic
303Q82—216no—
304Q82—216no—
305#557—216no—
306#557—216no—
307#557—216no—
308#557—216no—
309#557—216no—
310#557—216no—
311#557—216no—
312#557—216no—
313#554—216no—
314#554—216no—
315#554—232no—
316#554—232no—
317#544—216no—
318#544—216no—
319#544—232no—
320#544—28no—
321#544—28no—
322#544D4116yes—
323#536Q8116yescomplemented
324#533—216no—
325#533—232no—
326#533—28no—
327#533—28no—
328#533—28no—
329C2×C4⋊Q8C2312yes—
330C2×C4⋊Q8C2314yes—
331C2×C4⋊Q8C2314yes—
332C2×C4⋊Q8C2311yescharacteristic
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2314yes—
339C2×C4⋊Q8C2314yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2314yes—
342C2×C4⋊Q8C2314yes—
343C2×C4⋊Q8C2314yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2314yes—
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2312yes—
349C2×C4⋊Q8C2314yes—
350C2×C4⋊Q8C2312yes—
351C2×C4⋊Q8C2312yes—
352C2×C4⋊Q8C2312yes—
353C2×#125—216no—
354C2×#125—28no—
355C2×#125C2312yes—
356C2×#125C2311yescharacteristic
357C2×#125C2312yes—
358C2×#125C2312yes—
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#125C2314yes—
362C2×#125C2314yes—
363C2×#125C2311yescharacteristic
364C2×#125C2311yescharacteristic
365C2×#125C2311yescharacteristic
366C2×#125C2311yescharacteristic
367C2×#125C2311yescharacteristic
368C2×#125C2314yes—
369C2×#125C2314yes—
370C2×#125C2312yes—
371C2×#125C2314yes—
372C2×#125C2314yes—
373C2×#125C2312yes—
374C2×#125C2314yes—
375C2×#125C2314yes—
376C2×#125C2312yes—
377C2×#125C2314yes—
378C2×#125C2314yes—
379C2×#125C2312yes—
380C2×#125C2312yes—
381C2×#124C2312yes—
382C2×#123C2314yes—
383C2×C22⋊Q8C2314yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404#520—28no—
405#520—28no—
406#519—28no—
407#519—28no—
408C4×#41—28no—
409C2×C4×Q8—28no—
410C2×C4×Q8C2312yes—
411C2×C4×Q8C2312yes—
412C2×C4×Q8C2312yes—
413C2×C4×Q8C2312yes—
414C2×C4×Q8C2312yes—
415C2×C4×Q8C2312yes—
416C2×C4×Q8C2312yes—
417C2×C4×Q8C2312yes—
418C2×C4×Q8C2312yes—
419C2×C4×Q8C2312yes—
420C2×C4×Q8C2312yes—
421C2×C4×Q8C2314yes—
422C2×C4×Q8C2314yes—
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2314yes—
427C2×C4×Q8C2314yes—
428C2×C4×Q8C2312yes—
429C2×C4×Q8C2311yescharacteristic
430C2×C4×Q8C2311yescharacteristic
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2314yes—
437C2×C4×Q8C2314yes—
438C2×C4×Q8C2314yes—
439C2×C4×D4C2314yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2314yes—
444C2×C4×D4C2311yescharacteristic
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2312yes—
447C2×#117C2311yescharacteristic
448C2×#117C2311yescharacteristic
449C2×#117C2311yescharacteristic
450C2×#117C2311yescharacteristic
451C2×#117C2312yes—
452C2×#117C2314yes—
453C2×#117C2314yes—
454C2×#117C2312yes—
455C2×#117C2312yes—
456C2×#117C2311yescharacteristic
457C2×#117C2311yescharacteristic
458C2×#117C2311yescharacteristic
459C22×C4⋊C4C2311yescharacteristic
460C22×C4⋊C4C2311yescharacteristic
461C22×C4⋊C4C2312yes—
462C22×C4⋊C4C2312yes—
463C22×C4⋊C4C2312yes—
464C22×C4⋊C4C2312yes—
465C22×C4⋊C4C2314yes—
466C22×C4⋊C4C2314yes—
467C22×C4⋊C4C2312yes—
468C22×C4⋊C4C2312yes—
469C22×C4⋊C4C2311yescharacteristic
470C22×C4⋊C4C2311yescharacteristic
471C22×C4⋊C4C2312yes—
472C22×C4⋊C4C2311yescharacteristic
473C22×C42C2311yescharacteristic
474C22×C42C2312yes—
475C22×C42C2311yescharacteristic
476C22×C42C2312yes—
477C22×C42C2311yescharacteristic
478#400C2314yes—
479#400C2314yes—
480#400C2314yes—
481#400C2314yes—
482#400C2314yes—
483#400C2314yes—
484#400C2314yes—
485#400C2314yes—
486#400C2314yes—
487#400C2314yes—
488#400C2312yes—
489#400C2312yes—
490#399C2314yes—
491#399C2314yes—
492#399C2312yes—
493#399C2312yes—
494#398C2314yes—
495#398C2314yes—
496#398C2314yes—
497#398C2314yes—
498#398C2314yes—
499#398C2314yes—
500#398C2314yes—
501#398C2314yes—
502#398C2314yes—
503#398C2314yes—
504#398C2314yes—
505#398C2314yes—
506#398C2314yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2312yes—
513#398C2312yes—
514#398C2312yes—
515#398C2312yes—
516#398C2312yes—
517#398C2312yes—
518#398C2312yes—
519#398C2312yes—
520#398C2312yes—
521#398C2312yes—
522#398C2312yes—
523#398C2312yes—
524#398C2314yes—
525#398C2314yes—
526#398C2314yes—
527#398C2314yes—
528#398C2314yes—
529#398C2314yes—
530#398C2314yes—
531#398C2314yes—
532#396C2312yes—
533#396C2312yes—
534#396C2312yes—
535#396C2312yes—
536#396C2314yes—
537#396C2314yes—
538#396C2314yes—
539#396C2314yes—
540#395C2314yes—
541#395C2314yes—
542#395C2314yes—
543#395C2314yes—
544#395C2314yes—
545#395C2314yes—
546#395C2314yes—
547#395C2314yes—
548#395C2314yes—
549#395C2314yes—
550#395C2314yes—
551#395C2314yes—
552#395C2312yes—
553#395C2312yes—
554#395C2312yes—
555#395C2312yes—
556#395C2312yes—
557#395C2312yes—
558#395C2312yes—
559#395C2312yes—
560#395C2312yes—
561#395C2312yes—
562#393C2314yes—
563#393C2314yes—
564#393C2312yes—
565#393C2312yes—
566#391C2311yescharacteristic
567#391C2312yes—
568#391C2314yes—
569#391C2312yes—
570#391C2312yes—
571#391C2312yes—
572#391C2312yes—
573#391C2312yes—
574#391C2312yes—
575#391C2312yes—
576#391C2312yes—
577#391C2312yes—
578#391C2312yes—
579#391C2312yes—
580#391C2314yes—
581#391C2314yes—
582#391C2314yes—
583#391C2312yes—
584#391C2311yescharacteristic
585#391C2312yes—
586#391C2312yes—
587#391C2312yes—
588#391C2311yescharacteristic
589#391C2314yes—
590#391C2314yes—
591#391C2314yes—
592#391C2311yescharacteristic
593#391C2314yes—
594#391C2314yes—
595#391C2314yes—
596#391C2312yes—
597#391C2314yes—
598#391C2314yes—
599#391C2312yes—
600#391C2314yes—
601#391C2312yes—
602#390C2312yes—
603#390C2311yescharacteristic
604#390C2311yescharacteristic
605#390C2311yescharacteristic
606#390C2311yescharacteristic
607#389C2311yescharacteristic
608#389C2312yes—
609#389C2311yescharacteristic
610#389C2314yes—
611#389C2314yes—
612#389C2312yes—
613#389C2314yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2311yescharacteristic
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2314yes—
626#389C2314yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2314yes—
636#389C2314yes—
637#389C2311yescharacteristic
638#389C2311yescharacteristic
639#389C2314yes—
640#389C2314yes—
641#389C2312yes—
642#389C2311yescharacteristic
643#389C2311yescharacteristic
644#389C2312yes—
645#389C2311yescharacteristic
646#389C2311yescharacteristic
647#389C2314yes—
648#389C2314yes—
649#389C2314yes—
650#389C2314yes—
651#389C2314yes—
652#389C2314yes—
653#389C2314yes—
654#389C2311yescharacteristic
655#389C2311yescharacteristic
656#389C2314yes—
657#389C2314yes—
658#389C2312yes—
659#389C2314yes—
660#389C2314yes—
661#389C2311yescharacteristic
662#389C2312yes—
663#389C2314yes—
664#389C2314yes—
665#389C2311yescharacteristic
666#389C2312yes—
667#389C2314yes—
668#389C2314yes—
669#389C2311yescharacteristic
670#389C2312yes—
671#389C2312yes—
672#389C2314yes—
673#389C2314yes—
674#389C2314yes—
675#389C2312yes—
676#389C2311yescharacteristic
677#389C2311yescharacteristic
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2312yes—
724#387C2312yes—
725#387C2314yes—
726#387C2312yes—
727#387C2312yes—
728#386C2312yes—
729#386C2314yes—
730#386C2312yes—
731#386C2312yes—
732#386C2312yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2312yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2312yes—
746#385C2312yes—
747#385C2312yes—
748#385C2314yes—
749#385C2314yes—
750#385C2312yes—
751#385C2312yes—
752#385C2312yes—
753#385C2312yes—
754#385C2312yes—
755#385C2312yes—
756#385C2312yes—
757#385C2312yes—
758#384C2312yes—
759#384C2312yes—
760#384C2312yes—
761#384C2312yes—
762#384C2311yescharacteristic
763#384C2312yes—
764#384C2311yescharacteristic
765#384C2314yes—
766#384C2314yes—
767#384C2314yes—
768#382C2312yes—
769#382C2311yescharacteristic
770#382C2312yes—
771#382C2311yescharacteristic
772#382C2312yes—
773#381C2314yes—
774#380C2312yes—
775#380C2314yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2314yes—
780#380C2312yes—
781#380C2314yes—
782#380C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2314yes—
793C4×C4⋊C4C2314yes—
794C4×C4⋊C4C2314yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2314yes—
804C4×C4⋊C4C2314yes—
805C4×C4⋊C4C2314yes—
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2314yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2312yes—
822C4×C22⋊C4C2314yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836#376C2312yes—
837C2×#95C2312yes—
838C2×#95C2312yes—
839C2×#95C2312yes—
840C2×#95C2312yes—
841C2×#95C2312yes—
842C2×#95C2312yes—
843C2×#95C2311yescharacteristic
844C2×#95C2311yescharacteristic
845C43C2312yes—
846C2×#41—24no—
847C2×#41—24no—
848C2×#41C2×Q818yes—
849C22×Q8—24no—
850C22×Q8—24no—
851C22×Q8C2×Q818yes—
852C22×Q8C2412yes—
853C22×Q8C2412yes—
854C22×Q8C2412yes—
855C22×Q8C2412yes—
856C22×Q8C2411yescharacteristic
857C22×Q8C2412yes—
858C22×Q8C2414yes—
859C22×Q8C2412yes—
860C22×Q8C2414yes—
861C22×Q8C2412yes—
862C22×Q8C2412yes—
863C22×Q8C2414yes—
864C22×D4C2412yes—
865C22×D4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2412yes—
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2414yes—
872C23×C4C2414yes—
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2411yescharacteristic
880C23×C4C2412yes—
881C23×C4C2411yescharacteristic
882C4⋊Q8—216no—
883C4⋊Q8—216no—
884C4⋊Q8—216no—
885C4⋊Q8—216no—
886C4⋊Q8—24no—
887C4⋊Q8—24no—
888C4⋊Q8—216no—
889C4⋊Q8—24no—
890C4⋊Q8—24no—
891C4⋊Q8—24no—
892C4⋊Q8—24no—
893C4⋊Q8—28no—
894C4⋊Q8—216no—
895C4⋊Q8—216no—
896C4⋊Q8—216no—
897C4⋊Q8—28no—
898C4⋊Q8—28no—
899C4⋊Q8—28no—
900C4⋊Q8—44no—
901C4⋊Q8—48no—
902C4⋊Q8—44no—
903C4⋊Q8C2×D4116yes—
904C4⋊Q8C2×D4116yes—
905C4⋊Q8C2×Q8116yes—
906#125—24no—
907#125—28no—
908#125—28no—
909#125—216no—
910#125—216no—
911#125—28no—
912#125—28no—
913#125—24no—
914#125—216no—
915#125—216no—
916#125—24no—
917#125—24no—
918#125—24no—
919#125—24no—
920#125—216no—
921#125—28no—
922#125—216no—
923#125—216no—
924#125—216no—
925#125—216no—
926#125—216no—
927#125—28no—
928#125—28no—
929#125—28no—
930#125C2×D4116yes—
931#125C2×D4116yes—
932#124C2×Q8116yes—
933#123C2×Q8132yes—
934C22⋊Q8—216no—
935C22⋊Q8—216no—
936C22⋊Q8—216no—
937C22⋊Q8—216no—
938C22⋊Q8—216no—
939C22⋊Q8—216no—
940C22⋊Q8—216no—
941C22⋊Q8—28no—
942C22⋊Q8—28no—
943C22⋊Q8—28no—
944C22⋊Q8—28no—
945C22⋊Q8—28no—
946C22⋊Q8—28no—
947C22⋊Q8—216no—
948C22⋊Q8—48no—
949C22⋊Q8—44no—
950C22⋊Q8—44no—
951C22⋊Q8—48no—
952C22⋊Q8C2×D4132yes—
953C22⋊Q8C2×Q8116yes—
954C22⋊Q8C2×Q8116yes—
955C4×Q8—216no—
956C4×Q8—216no—
957C4×Q8—28no—
958C4×Q8—28no—
959C4×Q8—28no—
960C4×Q8—28no—
961C4×Q8—24no—
962C4×Q8—24no—
963C4×Q8—28no—
964C4×Q8—28no—
965C4×Q8—28no—
966C4×Q8—28no—
967C4×Q8—28no—
968C4×Q8—216no—
969C4×Q8—216no—
970C4×Q8—216no—
971C4×Q8—216no—
972C4×Q8—28no—
973C4×Q8—28no—
974C4×Q8—28no—
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—48no—
984C4×D4—216no—
985C4×D4—24no—
986C4×D4—24no—
987C4×D4—28no—
988C4×D4—28no—
989C4×D4—28no—
990C4×D4—216no—
991C4×D4—28no—
992#117—24no—
993#117—24no—
994#117—24no—
995#117—24no—
996#117—28no—
997#117—28no—
998#117—216no—
999#117—216no—
1000#117—28no—
1001#117C2×D418yes—
1002#117C2×D418yes—
1003#117C2×Q818yes—
1004C2×C4⋊C4—28no—
1005C2×C4⋊C4—24no—
1006C2×C4⋊C4—28no—
1007C2×C4⋊C4—28no—
1008C2×C4⋊C4—24no—
1009C2×C4⋊C4—28no—
1010C2×C4⋊C4—28no—
1011C2×C4⋊C4—216no—
1012C2×C4⋊C4—216no—
1013C2×C4⋊C4—44no—
1014C2×C4⋊C4—42no—
1015C2×C4⋊C4—42no—
1016C2×C4⋊C4—44no—
1017C2×C4⋊C4C2×D418yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C42—28no—
1145C2×C42—24no—
1146C2×C42—24no—
1147C2×C42—24no—
1148C2×C42—28no—
1149C2×C42C2411yescharacteristic
1150C2×C42C2412yes—
1151C2×C42C2414yes—
1152C2×C42C2414yes—
1153C2×C42C2412yes—
1154C2×C42C2414yes—
1155C2×C42C2414yes—
1156C2×C42C2414yes—
1157C2×C42C2412yes—
1158C2×C42C2414yes—
1159C2×C42C2412yes—
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2412yes—
1163C2×C42C2412yes—
1164C2×C42C2411yescharacteristic
1165C2×C42C2414yes—
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168C2×C42C2414yes—
1169C2×C42C2411yescharacteristic
1170C2×C42C2412yes—
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175C2×C42C2411yescharacteristic
1176C2×C42C2414yes—
1177C2×C42C2414yes—
1178C2×C42C2412yes—
1179C2×C42C2414yes—
1180C2×C42C2412yes—
1181C2×C42C2412yes—
1182C2×C42C2414yes—
1183C2×C42C2412yes—
1184C2×C42C2412yes—
1185C2×C42C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2411yescharacteristic
1191#95C2411yescharacteristic
1192#95C2411yescharacteristic
1193#95C2411yescharacteristic
1194#95C2414yes—
1195#95C2411yescharacteristic
1196#95C2411yescharacteristic
1197#95C2411yescharacteristic
1198#95C2411yescharacteristic
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
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#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256C24C2512yes—
1257C24C2511yescharacteristic
1258#41—232no—
1259C2×Q8—232no—
1260C2×Q8—24no—
1261C2×Q8—24no—
1262C2×Q8—22no—
1263C2×Q8—24no—
1264C2×Q8—24no—
1265C2×Q8—24no—
1266C2×Q8—28no—
1267C2×Q8—24no—
1268C2×Q8—28no—
1269C2×Q8—24no—
1270C2×Q8—24no—
1271C2×Q8—24no—
1272C2×Q8—24no—
1273C2×Q8—22no—
1274C2×Q8—24no—
1275C2×Q8—24no—
1276C2×Q8—44no—
1277C2×Q8—44no—
1278C2×Q8—42no—
1279C2×Q8—42no—
1280C2×Q8—42no—
1281C2×Q8—44no—
1282C2×Q8—42no—
1283C2×Q8—42no—
1284C2×Q8—44no—
1285C2×Q8—42no—
1286C2×Q8—44no—
1287C2×Q8—42no—
1288C2×Q8—42no—
1289C2×Q8—42no—
1290C2×Q8—42no—
1291C2×Q8—44no—
1292C2×Q8C22×D4116yes—
1293C2×Q8C22×Q818yes—
1294C2×Q8C22×Q818yes—
1295C2×Q8C22×Q814yes—
1296C2×D4—24no—
1297C2×D4—24no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4C22×Q818yes—
1301C2×D4C22×Q814yes—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—24no—
1312C22×C4—22no—
1313C22×C4—24no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—28no—
1319C22×C4—28no—
1320C22×C4—41no—
1321C22×C4—42no—
1322C22×C4—42no—
1323C22×C4—41no—
1324C22×C4—42no—
1325C22×C4—42no—
1326C22×C4—41no—
1327C22×C4—41no—
1328C22×C4—41no—
1329C22×C4—42no—
1330C22×C4—42no—
1331C22×C4—42no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—41no—
1343C22×C4—42no—
1344C22×C4C22×D418yes—
1345C22×C4C22×D414yes—
1346C22×C4C22×Q818yes—
1347C22×C4C22×Q818yes—
1348C22×C4C22×Q814yes—
1349C22×C42−1+414yes—
1350C22×C4C2511yescharacteristic
1351C22×C4C2511yescharacteristic
1352C22×C4C2512yes—
1353C22×C4C2511yescharacteristic
1354C22×C4C2514yes—
1355C22×C4C2512yes—
1356C22×C4C2511yescharacteristic
1357C22×C4C2511yescharacteristic
1358C22×C4C2512yes—
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2514yes—
1366C22×C4C2512yes—
1367C22×C4C2511yescharacteristic
1368C22×C4C2512yes—
1369C22×C4C2512yes—
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C22×C4C2514yes—
1374C22×C4C2512yes—
1375C22×C4C2512yes—
1376C22×C4C2512yes—
1377C22×C4C2514yes—
1378C22×C4C2512yes—
1379C22×C4C2511yescharacteristic
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C22×C4C2511yescharacteristic
1383C4⋊C4—24no—
1384C4⋊C4—22no—
1385C4⋊C4—28no—
1386C4⋊C4—28no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—28no—
1390C4⋊C4—28no—
1391C4⋊C4—24no—
1392C4⋊C4—28no—
1393C4⋊C4—28no—
1394C4⋊C4—28no—
1395C4⋊C4—28no—
1396C4⋊C4—28no—
1397C4⋊C4—28no—
1398C4⋊C4—22no—
1399C4⋊C4—24no—
1400C4⋊C4—24no—
1401C4⋊C4—28no—
1402C4⋊C4—28no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—28no—
1406C4⋊C4—28no—
1407C4⋊C4—22no—
1408C4⋊C4—22no—
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—24no—
1414C4⋊C4—24no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—24no—
1418C4⋊C4—28no—
1419C4⋊C4—24no—
1420C4⋊C4—28no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—28no—
1424C4⋊C4—28no—
1425C4⋊C4—24no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—22no—
1432C4⋊C4—22no—
1433C4⋊C4—28no—
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—28no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—24no—
1442C4⋊C4—41no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4—41no—
1446C4⋊C4—41no—
1447C4⋊C4—41no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—44no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—42no—
1457C4⋊C4—42no—
1458C4⋊C4—44no—
1459C4⋊C4—42no—
1460C4⋊C4—44no—
1461C4⋊C4—42no—
1462C4⋊C4—44no—
1463C4⋊C4—42no—
1464C4⋊C4—44no—
1465C4⋊C4—44no—
1466C4⋊C4—42no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C4⋊C4—42no—
1470C4⋊C4—44no—
1471C4⋊C4—42no—
1472C4⋊C4—44no—
1473C4⋊C4C22×D414yes—
1474C4⋊C4C22×D418yes—
1475C4⋊C4C22×D4116yes—
1476C4⋊C4C22×D4116yes—
1477C4⋊C4C22×D418yes—
1478C4⋊C4C22×D414yes—
1479C4⋊C4C22×D414yes—
1480C4⋊C4C22×D414yes—
1481C4⋊C4C22×D4116yes—
1482C4⋊C4C22×Q814yes—
1483C4⋊C4C22×Q814yes—
1484C4⋊C4C22×Q8116yes—
1485C4⋊C4C22×Q8116yes—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—24no—
1490C22⋊C4—28no—
1491C22⋊C4—24no—
1492C22⋊C4—24no—
1493C22⋊C4—28no—
1494C22⋊C4—24no—
1495C22⋊C4—24no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—42no—
1504C22⋊C4C22×D418yes—
1505C22⋊C4C22×D418yes—
1506C22⋊C4C22×Q818yes—
1507C22⋊C4C22×Q8116yes—
1508C22⋊C4C22×Q8116yes—
1509C42—22no—
1510C42—22no—
1511C42—24no—
1512C42—24no—
1513C42—22no—
1514C42—22no—
1515C42—28no—
1516C42—22no—
1517C42—22no—
1518C42—28no—
1519C42—22no—
1520C42—22no—
1521C42—28no—
1522C42—28no—
1523C42—24no—
1524C42—28no—
1525C42—28no—
1526C42—28no—
1527C42—28no—
1528C42—24no—
1529C42—24no—
1530C42—22no—
1531C42—22no—
1532C42—22no—
1533C42—22no—
1534C42—24no—
1535C42—24no—
1536C42—44no—
1537C42—42no—
1538C42—42no—
1539C42—44no—
1540C42—44no—
1541C42—42no—
1542C42—44no—
1543C42C22×D418yes—
1544C42C22×D418yes—
1545C42C22×Q818yes—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—22no—
1551C23—22no—
1552C23—22no—
1553C23—22no—
1554C23—22no—
1555C23—22no—
1556C23C23×D412yes—
1557C23C23×Q814yes—
1558C23C23×Q812yes—
1559C23C2×2−1+412yes—
1560C23C2611yescharacteristic
1561Q8—216no—
1562Q8—216no—
1563Q8—28no—
1564Q8—416no—
1565Q8—48no—
1566Q8—48no—
1567Q8—88no—
1568Q8—84no—
1569Q8—84no—
1570Q8—84no—
1571Q8—84no—
1572Q8—88no—
1573D4—216no—
1574D4—28no—
1575C2×C4—22no—
1576C2×C4—24no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—216no—
1598C2×C4—216no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—24no—
1619C2×C4—22no—
1620C2×C4—24no—
1621C2×C4—24no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—24no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—24no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—48no—
1660C2×C4—44no—
1661C2×C4—44no—
1662C2×C4—88no—
1663C2×C4—84no—
1664C2×C4—88no—
1665C2×C4—84no—
1666C2×C4—82no—
1667C2×C4—82no—
1668C2×C4—82no—
1669C2×C4—84no—
1670C2×C4—84no—
1671C2×C4—82no—
1672C2×C4D4×Q8116yes—
1673C2×C4C23×D414yes—
1674C2×C4C23×D414yes—
1675C2×C4C23×D414yes—
1676C2×C4C23×D418yes—
1677C2×C4C23×D414yes—
1678C2×C4C23×D412yes—
1679C2×C4C23×D412yes—
1680C2×C4C23×Q814yes—
1681C2×C4C23×Q814yes—
1682C2×C4C23×Q818yes—
1683C2×C4C23×Q814yes—
1684C2×C4C23×Q812yes—
1685C2×C4C23×Q812yes—
1686C2×C4C2×2−1+412yes—
1687C2×C4C2×2−1+412yes—
1688C2×C4#58512yes—
1689C2×C4#58512yes—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—22no—
1694C22—22no—
1695C22—22no—
1696C22—24no—
1697C22—24no—
1698C22—24no—
1699C22—42no—
1700C22—42no—
1701C22—42no—
1702C22—42no—
1703C22C2×D4×Q814yes—
1704C22C24×D411yescharacteristic
1705C22C24×Q811yescharacteristic
1706C22C22×2−1+411yescharacteristic
1707C22C2×#58511yescharacteristic
1708C22C2×#58511yescharacteristic
1709C222−1+611yescharacteristic
1710C222−1+611yescharacteristic
1711C4—28no—
1712C4—24no—
1713C4—24no—
1714C4—22no—
1715C4—24no—
1716C4—24no—
1717C4—24no—
1718C4—24no—
1719C4—22no—
1720C4—24no—
1721C4—28no—
1722C4—41no—
1723C4—42no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—42no—
1728C4—42no—
1729C4—41no—
1730C4—41no—
1731C4—44no—
1732C4—41no—
1733C4—42no—
1734C4—42no—
1735C4—42no—
1736C4—42no—
1737C4—41no—
1738C4—44no—
1739C4—42no—
1740C4—41no—
1741C4—41no—
1742C4C2×D4×Q814yes—
1743C4C2×D4×Q814yes—
1744C2—24no—
1745C2—44no—
1746C2C22×D4×Q811yescharacteristic
1747C2#6283111yescharacteristic
1748C2#6288911yescharacteristic
1749C2#6298811yescharacteristic
1750C2#6300211yescharacteristic
1751C2#6300411yescharacteristic
1752C2#6300411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×#41C23
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×#3502C2semidirect
3. #59833C2semidirect
4. #59828C2semidirect
5. #59667C2semidirect
6. #59655C2semidirect
7. #59154C2semidirect
8. #59154C2semidirect
9. #59149C2semidirect
10. #59113C2semidirect
11. #59081C2semidirect
12. #59067C2semidirect
13. #45424C2semidirect
14. #45389C2semidirect
15. #45277C2semidirect
16. #45274C2semidirect
17. #45272C2semidirect
18. #45139C2semidirect
19. #45099C2semidirect
20. #44894C2semidirect
21. #44449C2semidirect
22. #43909C2semidirect
23. #35668C2semidirect
24. #35662C2semidirect
25. #35640C2semidirect
27. #35566C2semidirect
29. #34938C2semidirect
31. C2×#2453C2semidirect
33. #34272C2semidirect
323. #536Q8semidirect

Maximal subgroups

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

subgroupindex
C2×#35042
C2×#35022
#598332
#598282
#596672
#596552
#591542
#591492
#591132
#590812
#590672
#454242
#453892
#452772
#452742
#452722
#451392
#450992
#448942
#444492
#439092
#356682
#356622
#356402
#355752
#355662
#355192
#349382
#347452
C2×#24532
#342762
#342722
#342682
#342662