Finite Group Databasebeta

← #7683715

Subgroups — #7683715

Order 512.

6746 conjugacy classes of subgroups.

The subgroup lattice has 1794 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3509C211yesmaximal, characteristic, complemented
2C2×#3507C211yesmaximal, characteristic
3#59829C212yesmaximal, complemented
4#59828C212yesmaximal, complemented
5#59653C212yesmaximal, complemented
6#59428C212yesmaximal, complemented
7#59116C212yesmaximal, complemented
8#59114C212yesmaximal, complemented
9#59113C212yesmaximal, complemented
10#59111C212yesmaximal, complemented
11#59109C214yesmaximal, complemented
12#59106C214yesmaximal, complemented
13#45429C212yesmaximal, complemented
14#45394C212yesmaximal, complemented
15#45334C212yesmaximal, complemented
16#45326C212yesmaximal, complemented
17#45238C212yesmaximal, complemented
18#45185C212yesmaximal, complemented
19#45177C212yesmaximal, complemented
20#44964C212yesmaximal, complemented
21#44475C214yesmaximal, complemented
22#44042C214yesmaximal, complemented
23#35673C211yesmaximal, characteristic, complemented
24#35667C211yesmaximal, characteristic, complemented
25#35662C211yesmaximal, characteristic, complemented
26#35621C211yesmaximal, characteristic
27#35619C211yesmaximal, characteristic, complemented
28#35519C211yesmaximal, characteristic, complemented
29#34938C211yesmaximal, characteristic, complemented
30#34744C211yesmaximal, characteristic
31C2×#2446C211yesmaximal, characteristic, complemented
32#34276C211yesmaximal, characteristic, complemented
33#34276C211yesmaximal, characteristic, complemented
34#34250C211yesmaximal, characteristic, complemented
35#34249C211yesmaximal, characteristic, complemented
36#3509—216no—
37#3507—216no—
38C2×#559C2212yes—
39C2×#557C2212yes—
40C2×#557C2212yes—
41C2×#557C2212yes—
42C2×#556C2212yes—
43C2×#556C2212yes—
44C2×#556C2212yes—
45C2×#556C2212yes—
46C2×#556C2212yes—
47C2×#554C2212yes—
48C2×#552C2214yes—
49C2×#552C2212yes—
50C2×#552C2212yes—
51C2×#552C2214yes—
52C2×#541C2212yes—
53C2×#541C2212yes—
54C2×#539C2214yes—
55C2×#536C2211yescharacteristic
56C2×#536C2211yescharacteristic
57C2×#536C2211yescharacteristic
58C2×#536C2211yescharacteristic
59C2×#533C2211yescharacteristic
60C2×#533C2211yescharacteristic
61C2×#533C2212yes—
62C2×#533C2212yes—
63C2×#532C2211yescharacteristic
64C22×C4⋊Q8C2211yescharacteristic
65C2×#529C2214yes—
66C2×#520C2211yescharacteristic
67C2×#520C2211yescharacteristic
68C2×#520C2211yescharacteristic
69C2×#519C2211yescharacteristic
70C2×#519C2211yescharacteristic
71C2×#519C2211yescharacteristic
72C2×C4×#41C2211yescharacteristic
73C22×C4×Q8C2211yescharacteristic
74#2726C2214yes—
75#2726C2214yes—
76#2725C2214yes—
77#2725C2214yes—
78#2722C2214yes—
79#2722C2214yes—
80#2721C2214yes—
81#2721C2214yes—
82#2720C2214yes—
83#2720C2214yes—
84#2719C2214yes—
85#2719C2214yes—
86#2719C2214yes—
87#2719C2214yes—
88#2718C2214yes—
89#2718C2214yes—
90#2715C2214yes—
91#2698C2214yes—
92#2698C2214yes—
93#2695C2214yes—
94#2689C2214yes—
95#2689C2214yes—
96#2680C2214yes—
97#2674C2214yes—
98#2582C2212yes—
99#2582C2212yes—
100#2582C2212yes—
101#2581C2212yes—
102#2581C2212yes—
103#2581C2212yes—
104#2580C2212yes—
105#2553C2214yes—
106#2552C2214yes—
107#2552C2211yescharacteristic
108#2552C2211yescharacteristic
109#2551C2211yescharacteristic
110#2551C2211yescharacteristic
111#2550C2211yescharacteristic
112#2550C2211yescharacteristic
113#2550C2211yescharacteristic
114#2550C2211yescharacteristic
115#2549C2212yes—
116#2549C2212yes—
117#2547C2212yes—
118#2546C2212yes—
119#2546C2212yes—
120#2546C2212yes—
121#2545C2212yes—
122#2545C2212yes—
123#2545C2212yes—
124#2544C2212yes—
125#2538C2212yes—
126#2521C2214yes—
127#2519C2214yes—
128#2519C2214yes—
129#2506C2214yes—
130#2506C2214yes—
131#2503C2212yes—
132#2502C2212yes—
133#2499C2212yes—
134#2499C2212yes—
135#2498C2214yes—
136#2498C2214yes—
137#2496C2214yes—
138#2496C2214yes—
139#2489C2214yes—
140#2488C2214yes—
141#2478C2214yes—
142#2478C2214yes—
143#2478C2214yes—
144#2478C2214yes—
145#2475C2214yes—
146#2475C2214yes—
147#2474C2214yes—
148#2470C2214yes—
149#2469C2214yes—
150#2469C2214yes—
151#2468C2214yes—
152#2466C2214yes—
153#2462C2214yes—
154#2462C2214yes—
155#2462C2214yes—
156#2462C2214yes—
157#2453C2214yes—
158#2453C2212yes—
159#2453C2212yes—
160#2453C2214yes—
161#2451C2212yes—
162#2451C2212yes—
163#2450C2214yes—
164#2449C2214yes—
165#2449C2214yes—
166#2448C2211yescharacteristic
167#2448C2212yes—
168#2448C2211yescharacteristic
169#2448C2212yes—
170#2447C2212yes—
171#2447C2212yes—
172#2447C2211yescharacteristic
173#2447C2211yescharacteristic
174#2446C2212yes—
175#2446C2212yes—
176#2446C2212yes—
177#2446C2211yescharacteristic
178#2446C2212yes—
179#2446C2212yes—
180#2446C2212yes—
181#2446C2212yes—
182#2446C2212yes—
183#2446C2212yes—
184#2446C2212yes—
185#2446C2212yes—
186#2446C2212yes—
187#2446C2211yescharacteristic
188#2445C2211yescharacteristic
189#2445C2211yescharacteristic
190#2444C2212yes—
191#2444C2212yes—
192#2443C2212yes—
193#2443C2212yes—
194#2442C2212yes—
195#2441C2214yes—
196#2441C2212yes—
197#2440C2212yes—
198#2440C2214yes—
199#2440C2212yes—
200#2440C2212yes—
201#2439C2212yes—
202#2438C2214yes—
203#2438C2214yes—
204#2438C2214yes—
205#2438C2214yes—
206#2429C2214yes—
207#2429C2212yes—
208#2429C2212yes—
209#2429C2212yes—
210#2429C2212yes—
211#2425C2214yes—
212#2425C2214yes—
213#2423C2212yes—
214#2423C2212yes—
215#2421C2212yes—
216#2421C2212yes—
217#2419C2214yes—
218#2419C2214yes—
219#2417C2212yes—
220#2417C2212yes—
221#2415C2212yes—
222#2415C2212yes—
223#2413C2214yes—
224#2413C2214yes—
225#2413C2214yes—
226#2399C2212yes—
227#2399C2212yes—
228#2395C2212yes—
229#2395C2212yes—
230C2×#400C2212yes—
231C2×#398C2212yes—
232#2365C2214yes—
233#2362C2214yes—
234#2362C2212yes—
235#2362C2212yes—
236#2362C2212yes—
237#2362C2212yes—
238#2360C2212yes—
239#2360C2212yes—
240#2360C2212yes—
241#2360C2212yes—
242#2359C2214yes—
243#2359C2214yes—
244#2359C2214yes—
245#2359C2214yes—
246#2359C2214yes—
247#2351C2212yes—
248#2351C2212yes—
249#2351C2212yes—
250#2351C2212yes—
251#2351C2212yes—
252Q8×C4⋊C4C2212yes—
253Q8×C4⋊C4C2212yes—
254Q8×C4⋊C4C2212yes—
255Q8×C4⋊C4C2212yes—
256Q8×C4⋊C4C2212yes—
257#2349C2212yes—
258#2349C2214yes—
259D4×C4⋊C4C2214yes—
260D4×C4⋊C4C2212yes—
261#2344C2214yes—
262#2327C2212yes—
263#2327C2212yes—
264#2326C2212yes—
265#2326C2212yes—
266#2317C2214yes—
267#2317C2211yescharacteristic
268#2317C2211yescharacteristic
269#2317C2212yes—
270#2317C2211yescharacteristic
271#2316C2212yes—
272#2316C2211yescharacteristic
273#2311C2211yescharacteristic
274#2310C2211yescharacteristic
275C4×C4⋊Q8C2212yes—
276C4×C4⋊Q8C2212yes—
277C4×C4⋊Q8C2212yes—
278C4×C4⋊Q8C2212yes—
279C4×#124C2212yes—
280C4×#124C2212yes—
281C4×#123C2212yes—
282C4×#123C2212yes—
283#2297C2211yescharacteristic
284#2297C2211yescharacteristic
285#2297C2211yescharacteristic
286#2296C2211yescharacteristic
287#2296C2211yescharacteristic
288#2296C2211yescharacteristic
289#2296C2214yes—
290#2296C2212yes—
291C2×#391C2211yescharacteristic
292C2×#391C2211yescharacteristic
293C2×#391C2211yescharacteristic
294C2×#389C2211yescharacteristic
295C2×#389C2212yes—
296C2×#387C2212yes—
297C2×#387C2212yes—
298#2285C2211yescharacteristic
299C4×#117C2211yescharacteristic
300C2×C4×C4⋊C4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C23×Q8C2311yescharacteristic
304C23×Q8C2311yescharacteristic
305#559—216no—
306#557—216no—
307#557—216no—
308#557—216no—
309#556—216no—
310#556—216no—
311#556—216no—
312#556—216no—
313#556—216no—
314#554—216no—
315#552—232no—
316#552—232no—
317#552—216no—
318#552—216no—
319#541—216no—
320#541—216no—
321#539—232no—
322#536—28no—
323#536—28no—
324#536—28no—
325#536D4116yes—
326#533—216no—
327#533—216no—
328#533—28no—
329#533—28no—
330#532—28no—
331C2×C4⋊Q8—28no—
332C2×C4⋊Q8C2312yes—
333C2×C4⋊Q8C2312yes—
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2312yes—
347C2×#127C2311yescharacteristic
348#529—232no—
349C2×#126C2314yes—
350C2×#126C2314yes—
351C2×#126C2314yes—
352C2×#126C2314yes—
353C2×#126C2314yes—
354C2×#126C2314yes—
355C2×#126C2314yes—
356C2×#126C2314yes—
357C2×#125C2314yes—
358C2×#125C2311yescharacteristic
359C2×#125C2311yescharacteristic
360C2×#125C2311yescharacteristic
361C2×#125C2311yescharacteristic
362C2×#125C2314yes—
363C2×#125C2314yes—
364C2×#125C2314yes—
365C2×#125C2314yes—
366C2×#125C2314yes—
367C2×#125C2314yes—
368C2×#125C2314yes—
369C2×#125C2314yes—
370C2×#124C2312yes—
371C2×#124C2314yes—
372C2×#124C2311yescharacteristic
373C2×#124C2311yescharacteristic
374C2×#124C2312yes—
375C2×#124C2312yes—
376C2×#124C2312yes—
377C2×#123C2314yes—
378C2×#123C2312yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2312yes—
384C2×#123C2314yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2314yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×#121C2312yes—
403C2×#121C2312yes—
404#520—28no—
405#520—28no—
406#520—28no—
407#519—28no—
408#519—28no—
409#519—28no—
410C4×#41—28no—
411C2×C4×Q8—28no—
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×Q8C2312yes—
422C2×C4×Q8C2311yescharacteristic
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2312yes—
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2311yescharacteristic
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2314yes—
438C2×C4×Q8C2314yes—
439C2×C4×Q8C2314yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2314yes—
445C2×C4×D4C2314yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2311yescharacteristic
449C2×C4×D4C2314yes—
450C2×C4×D4C2314yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×#117C2311yescharacteristic
454C2×#117C2311yescharacteristic
455C2×#117C2311yescharacteristic
456C2×#117C2312yes—
457C2×#117C2311yescharacteristic
458C2×#117C2312yes—
459C2×#117C2314yes—
460C2×#117C2312yes—
461C2×#117C2314yes—
462C2×#117C2314yes—
463C2×#117C2314yes—
464C2×#117C2314yes—
465C2×#117C2314yes—
466C2×#117C2312yes—
467C2×#117C2314yes—
468C2×#117C2311yescharacteristic
469C2×#117C2311yescharacteristic
470C22×C4⋊C4C2311yescharacteristic
471C22×C4⋊C4C2312yes—
472C22×C4⋊C4C2312yes—
473C22×C4⋊C4C2311yescharacteristic
474C22×C4⋊C4C2312yes—
475C22×C4⋊C4C2312yes—
476C22×C4⋊C4C2312yes—
477C22×C4⋊C4C2312yes—
478C22×C4⋊C4C2311yescharacteristic
479C22×C4⋊C4C2314yes—
480C22×C4⋊C4C2312yes—
481C22×C4⋊C4C2311yescharacteristic
482C22×C42C2312yes—
483C22×C42C2311yescharacteristic
484C22×C42C2311yescharacteristic
485C22×C42C2312yes—
486C22×C42C2311yescharacteristic
487#400C2314yes—
488#400C2314yes—
489#400C2314yes—
490#400C2314yes—
491#400C2314yes—
492#400C2314yes—
493#400C2314yes—
494#400C2312yes—
495#400C2312yes—
496#400C2314yes—
497#400C2314yes—
498#400C2314yes—
499#400C2314yes—
500#399C2314yes—
501#399C2312yes—
502#399C2312yes—
503#399C2314yes—
504#399C2314yes—
505#398C2314yes—
506#398C2314yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2312yes—
516#398C2312yes—
517#398C2312yes—
518#398C2312yes—
519#398C2312yes—
520#398C2312yes—
521#398C2312yes—
522#398C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2314yes—
526#398C2314yes—
527#398C2314yes—
528#398C2314yes—
529#398C2314yes—
530#398C2314yes—
531#398C2314yes—
532#398C2314yes—
533#398C2314yes—
534#398C2314yes—
535#397C2312yes—
536#397C2312yes—
537#397C2312yes—
538#397C2312yes—
539#397C2312yes—
540#397C2312yes—
541#397C2314yes—
542#397C2314yes—
543#397C2314yes—
544#397C2314yes—
545#397C2314yes—
546#397C2314yes—
547#397C2314yes—
548#397C2314yes—
549#396C2314yes—
550#396C2314yes—
551#396C2314yes—
552#396C2314yes—
553#396C2314yes—
554#396C2314yes—
555#396C2314yes—
556#396C2314yes—
557#395C2314yes—
558#395C2314yes—
559#395C2314yes—
560#395C2312yes—
561#395C2312yes—
562#395C2312yes—
563#395C2312yes—
564#395C2312yes—
565#395C2312yes—
566#395C2312yes—
567#395C2312yes—
568#394C2312yes—
569#394C2312yes—
570#394C2312yes—
571#394C2312yes—
572#394C2314yes—
573#394C2314yes—
574#393C2314yes—
575#391C2311yescharacteristic
576#391C2311yescharacteristic
577#391C2312yes—
578#391C2312yes—
579#391C2312yes—
580#391C2312yes—
581#391C2312yes—
582#391C2312yes—
583#391C2312yes—
584#391C2312yes—
585#391C2312yes—
586#391C2312yes—
587#391C2312yes—
588#391C2311yescharacteristic
589#391C2312yes—
590#391C2312yes—
591#391C2312yes—
592#391C2312yes—
593#391C2311yescharacteristic
594#391C2314yes—
595#391C2314yes—
596#391C2314yes—
597#391C2311yescharacteristic
598#391C2311yescharacteristic
599#391C2312yes—
600#391C2312yes—
601#391C2312yes—
602#391C2312yes—
603#391C2312yes—
604#391C2312yes—
605#390C2312yes—
606#390C2311yescharacteristic
607#390C2311yescharacteristic
608#390C2311yescharacteristic
609#390C2311yescharacteristic
610#390C2311yescharacteristic
611#390C2311yescharacteristic
612#389C2312yes—
613#389C2312yes—
614#389C2314yes—
615#389C2314yes—
616#389C2314yes—
617#389C2314yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2311yescharacteristic
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2314yes—
632#389C2314yes—
633#389C2312yes—
634#389C2311yescharacteristic
635#389C2312yes—
636#389C2312yes—
637#389C2314yes—
638#389C2314yes—
639#389C2314yes—
640#389C2314yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2311yescharacteristic
645#389C2311yescharacteristic
646#389C2312yes—
647#389C2311yescharacteristic
648#389C2311yescharacteristic
649#389C2314yes—
650#389C2314yes—
651#389C2314yes—
652#389C2314yes—
653#389C2314yes—
654#389C2314yes—
655#389C2311yescharacteristic
656#389C2311yescharacteristic
657#389C2314yes—
658#389C2314yes—
659#389C2311yescharacteristic
660#389C2311yescharacteristic
661#389C2314yes—
662#389C2314yes—
663#389C2314yes—
664#389C2314yes—
665#389C2314yes—
666#389C2314yes—
667#389C2314yes—
668#389C2311yescharacteristic
669#389C2311yescharacteristic
670#389C2312yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2312yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2312yes—
691#388C2312yes—
692#388C2312yes—
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#387C2312yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2312yes—
721#387C2312yes—
722#387C2312yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#386C2314yes—
728#386C2312yes—
729#386C2312yes—
730#386C2312yes—
731#386C2312yes—
732#386C2314yes—
733#386C2312yes—
734#386C2312yes—
735#386C2314yes—
736#386C2312yes—
737#386C2312yes—
738#385C2314yes—
739#385C2314yes—
740#385C2312yes—
741#385C2312yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2312yes—
752#385C2314yes—
753#385C2312yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2312yes—
758#385C2312yes—
759#385C2312yes—
760#385C2312yes—
761#384C2312yes—
762#384C2312yes—
763#384C2312yes—
764#384C2312yes—
765#384C2314yes—
766#384C2314yes—
767#384C2312yes—
768#384C2314yes—
769#384C2311yescharacteristic
770#384C2311yescharacteristic
771#382C2312yes—
772#382C2312yes—
773#382C2314yes—
774#382C2312yes—
775#382C2314yes—
776#382C2314yes—
777#382C2311yescharacteristic
778#382C2311yescharacteristic
779#381C2314yes—
780#381C2312yes—
781#381C2314yes—
782#381C2314yes—
783#381C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2314yes—
787#380C2314yes—
788#380C2314yes—
789#380C2314yes—
790#380C2314yes—
791#380C2312yes—
792#380C2312yes—
793#380C2314yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2314yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2314yes—
803C4×C4⋊C4C2314yes—
804C4×C4⋊C4C2314yes—
805C4×C4⋊C4C2314yes—
806C4×C4⋊C4C2314yes—
807C4×C4⋊C4C2314yes—
808C4×C4⋊C4C2314yes—
809C4×C4⋊C4C2314yes—
810C4×C4⋊C4C2314yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2311yescharacteristic
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836#376C2312yes—
837C2×#95C2314yes—
838C2×#95C2312yes—
839C2×#95C2312yes—
840C2×#95C2312yes—
841C2×#95C2312yes—
842C2×#95C2312yes—
843C2×#95C2312yes—
844C2×#95C2311yescharacteristic
845C2×#95C2312yes—
846C2×#95C2311yescharacteristic
847C43C2312yes—
848C2×#41—24no—
849C2×#41—24no—
850C2×#41—24no—
851C2×#41—24no—
852C2×#41—24no—
853C2×#41C2×D418yes—
854C22×Q8—24no—
855C22×Q8—24no—
856C22×Q8—24no—
857C22×Q8—24no—
858C22×Q8—24no—
859C22×Q8C2×D418yes—
860C22×Q8C2412yes—
861C22×Q8C2412yes—
862C22×Q8C2411yescharacteristic
863C22×Q8C2412yes—
864C22×Q8C2412yes—
865C22×Q8C2412yes—
866C22×Q8C2412yes—
867C22×Q8C2412yes—
868C22×Q8C2411yescharacteristic
869C22×Q8C2412yes—
870C22×D4C2412yes—
871C22×D4C2411yescharacteristic
872C22×D4C2412yes—
873C22×D4C2412yes—
874C22×D4C2411yescharacteristic
875C22×D4C2412yes—
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2412yes—
881C23×C4C2411yescharacteristic
882C23×C4C2411yescharacteristic
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2412yes—
887C23×C4C2411yescharacteristic
888C23×C4C2414yes—
889C23×C4C2412yes—
890C23×C4C2414yes—
891C23×C4C2414yes—
892C23×C4C2411yescharacteristic
893C23×C4C2411yescharacteristic
894C4⋊Q8—28no—
895C4⋊Q8—28no—
896C4⋊Q8—28no—
897C4⋊Q8—28no—
898C4⋊Q8—24no—
899C4⋊Q8—28no—
900C4⋊Q8—28no—
901C4⋊Q8—24no—
902C4⋊Q8—24no—
903C4⋊Q8—24no—
904C4⋊Q8—24no—
905C4⋊Q8—28no—
906C4⋊Q8—28no—
907C4⋊Q8—44no—
908C4⋊Q8C2×D4116yes—
909#127—24no—
910#126—216no—
911#126—216no—
912#126—216no—
913#126—216no—
914#126—216no—
915#126—216no—
916#126—216no—
917#126—216no—
918#125—216no—
919#125—24no—
920#125—24no—
921#125—24no—
922#125—24no—
923#125—216no—
924#125—216no—
925#125—216no—
926#125—216no—
927#125—216no—
928#125—216no—
929#125—216no—
930#125—216no—
931#124—24no—
932#124—28no—
933#124—24no—
934#124—28no—
935#124—216no—
936#124—28no—
937#124C2×D4116yes—
938#123—216no—
939#123—216no—
940#123—28no—
941#123—216no—
942#123—216no—
943#123—216no—
944#123—44no—
945#123C2×D4132yes—
946C22⋊Q8—28no—
947C22⋊Q8—28no—
948C22⋊Q8—28no—
949C22⋊Q8—28no—
950C22⋊Q8—216no—
951C22⋊Q8—28no—
952C22⋊Q8—28no—
953C22⋊Q8—28no—
954C22⋊Q8—28no—
955C22⋊Q8—28no—
956C22⋊Q8—28no—
957C22⋊Q8—216no—
958C22⋊Q8—216no—
959C22⋊Q8—216no—
960C22⋊Q8—48no—
961C22⋊Q8C2×D4116yes—
962C22⋊Q8C2×D4116yes—
963#121—28no—
964#121—28no—
965C4×Q8—28no—
966C4×Q8—28no—
967C4×Q8—28no—
968C4×Q8—28no—
969C4×Q8—24no—
970C4×Q8—24no—
971C4×Q8—28no—
972C4×Q8—28no—
973C4×Q8—28no—
974C4×Q8—28no—
975C4×Q8—28no—
976C4×Q8—28no—
977C4×Q8—28no—
978C4×Q8—216no—
979C4×Q8—216no—
980C4×Q8—216no—
981C4×Q8—28no—
982C4×Q8—28no—
983C4×Q8—28no—
984C4×Q8—28no—
985C4×Q8—28no—
986C4×Q8—28no—
987C4×Q8—28no—
988C4×Q8—28no—
989C4×Q8—28no—
990C4×Q8—28no—
991C4×Q8—28no—
992C4×Q8—28no—
993C4×D4—28no—
994C4×D4—28no—
995C4×D4—24no—
996C4×D4—24no—
997C4×D4—216no—
998C4×D4—28no—
999C4×D4—28no—
1000C4×D4—28no—
1001C4×D4—216no—
1002C4×D4—216no—
1003C4×D4—216no—
1004C4×D4—28no—
1005C4×D4—28no—
1006#117—24no—
1007#117—28no—
1008#117—24no—
1009#117—216no—
1010#117—24no—
1011#117—28no—
1012#117—24no—
1013#117—28no—
1014#117—216no—
1015#117—28no—
1016#117—216no—
1017#117—216no—
1018#117—216no—
1019#117—216no—
1020#117—216no—
1021#117C2×D418yes—
1022#117#4118yes—
1023C2×C4⋊C4—24no—
1024C2×C4⋊C4—28no—
1025C2×C4⋊C4—28no—
1026C2×C4⋊C4—28no—
1027C2×C4⋊C4—28no—
1028C2×C4⋊C4—24no—
1029C2×C4⋊C4—28no—
1030C2×C4⋊C4—28no—
1031C2×C4⋊C4—24no—
1032C2×C4⋊C4—44no—
1033C2×C4⋊C4—48no—
1034C2×C4⋊C4—42no—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2412yes—
1161C2×C42—28no—
1162C2×C42—24no—
1163C2×C42—24no—
1164C2×C42—28no—
1165C2×C42—24no—
1166C2×C42C2414yes—
1167C2×C42C2414yes—
1168C2×C42C2412yes—
1169C2×C42C2414yes—
1170C2×C42C2414yes—
1171C2×C42C2414yes—
1172C2×C42C2414yes—
1173C2×C42C2414yes—
1174C2×C42C2411yescharacteristic
1175C2×C42C2412yes—
1176C2×C42C2414yes—
1177C2×C42C2412yes—
1178C2×C42C2412yes—
1179C2×C42C2414yes—
1180C2×C42C2414yes—
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183C2×C42C2414yes—
1184C2×C42C2412yes—
1185C2×C42C2412yes—
1186C2×C42C2411yescharacteristic
1187C2×C42C2411yescharacteristic
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190C2×C42C2411yescharacteristic
1191C2×C42C2412yes—
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194C2×C42C2411yescharacteristic
1195C2×C42C2411yescharacteristic
1196C2×C42C2412yes—
1197C2×C42C2412yes—
1198C2×C42C2412yes—
1199C2×C42C2412yes—
1200C2×C42C2412yes—
1201#95C2414yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2411yescharacteristic
1209#95C2411yescharacteristic
1210#95C2411yescharacteristic
1211#95C2411yescharacteristic
1212#95C2411yescharacteristic
1213#95C2411yescharacteristic
1214#95C2411yescharacteristic
1215#95C2411yescharacteristic
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2414yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2414yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2414yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2414yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269C24C2512yes—
1270C24C2512yes—
1271C24C2511yescharacteristic
1272#41—232no—
1273#41—416no—
1274C2×Q8—232no—
1275C2×Q8—24no—
1276C2×Q8—24no—
1277C2×Q8—24no—
1278C2×Q8—24no—
1279C2×Q8—24no—
1280C2×Q8—22no—
1281C2×Q8—24no—
1282C2×Q8—24no—
1283C2×Q8—24no—
1284C2×Q8—22no—
1285C2×Q8—24no—
1286C2×Q8—24no—
1287C2×Q8—22no—
1288C2×Q8—24no—
1289C2×Q8—24no—
1290C2×Q8—22no—
1291C2×Q8—24no—
1292C2×Q8—24no—
1293C2×Q8—24no—
1294C2×Q8—24no—
1295C2×Q8—22no—
1296C2×Q8—24no—
1297C2×Q8—42no—
1298C2×Q8—42no—
1299C2×Q8—42no—
1300C2×Q8—42no—
1301C2×Q8—42no—
1302C2×Q8—416no—
1303C2×Q8C22×D418yes—
1304C2×Q8C22×D418yes—
1305C2×Q8C22×D414yes—
1306C2×D4—24no—
1307C2×D4—24no—
1308C2×D4—24no—
1309C2×D4—24no—
1310C2×D4—24no—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—24no—
1318C2×D4—22no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4C22×D418yes—
1323C2×D4C22×D414yes—
1324C22×C4—24no—
1325C22×C4—24no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—24no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—22no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—22no—
1339C22×C4—28no—
1340C22×C4—24no—
1341C22×C4—22no—
1342C22×C4—24no—
1343C22×C4—24no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—22no—
1350C22×C4—24no—
1351C22×C4—28no—
1352C22×C4—28no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—41no—
1356C22×C4—42no—
1357C22×C4—42no—
1358C22×C4—41no—
1359C22×C4—44no—
1360C22×C4—42no—
1361C22×C4—42no—
1362C22×C4—44no—
1363C22×C4—41no—
1364C22×C4—44no—
1365C22×C4—44no—
1366C22×C4—44no—
1367C22×C4—41no—
1368C22×C4—41no—
1369C22×C4—42no—
1370C22×C4—42no—
1371C22×C4—44no—
1372C22×C4—41no—
1373C22×C4C22×D418yes—
1374C22×C4C22×D418yes—
1375C22×C4C22×D414yes—
1376C22×C4C2×#4114yes—
1377C22×C42−1+414yes—
1378C22×C4C2511yescharacteristic
1379C22×C4C2511yescharacteristic
1380C22×C4C2511yescharacteristic
1381C22×C4C2512yes—
1382C22×C4C2514yes—
1383C22×C4C2512yes—
1384C22×C4C2514yes—
1385C22×C4C2512yes—
1386C22×C4C2511yescharacteristic
1387C22×C4C2512yes—
1388C22×C4C2514yes—
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2512yes—
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2511yescharacteristic
1398C22×C4C2512yes—
1399C22×C4C2514yes—
1400C22×C4C2512yes—
1401C22×C4C2512yes—
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2511yescharacteristic
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C22×C4C2511yescharacteristic
1408C22×C4C2511yescharacteristic
1409C22×C4C2511yescharacteristic
1410C4⋊C4—24no—
1411C4⋊C4—22no—
1412C4⋊C4—28no—
1413C4⋊C4—28no—
1414C4⋊C4—24no—
1415C4⋊C4—28no—
1416C4⋊C4—28no—
1417C4⋊C4—28no—
1418C4⋊C4—28no—
1419C4⋊C4—28no—
1420C4⋊C4—28no—
1421C4⋊C4—22no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—24no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—22no—
1431C4⋊C4—22no—
1432C4⋊C4—28no—
1433C4⋊C4—28no—
1434C4⋊C4—28no—
1435C4⋊C4—28no—
1436C4⋊C4—28no—
1437C4⋊C4—24no—
1438C4⋊C4—24no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—24no—
1442C4⋊C4—28no—
1443C4⋊C4—28no—
1444C4⋊C4—28no—
1445C4⋊C4—24no—
1446C4⋊C4—24no—
1447C4⋊C4—24no—
1448C4⋊C4—24no—
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—28no—
1452C4⋊C4—24no—
1453C4⋊C4—28no—
1454C4⋊C4—28no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—28no—
1458C4⋊C4—28no—
1459C4⋊C4—22no—
1460C4⋊C4—22no—
1461C4⋊C4—22no—
1462C4⋊C4—24no—
1463C4⋊C4—24no—
1464C4⋊C4—24no—
1465C4⋊C4—24no—
1466C4⋊C4—28no—
1467C4⋊C4—24no—
1468C4⋊C4—22no—
1469C4⋊C4—22no—
1470C4⋊C4—41no—
1471C4⋊C4—44no—
1472C4⋊C4—41no—
1473C4⋊C4—44no—
1474C4⋊C4—44no—
1475C4⋊C4—42no—
1476C4⋊C4—44no—
1477C4⋊C4—42no—
1478C4⋊C4—42no—
1479C4⋊C4—42no—
1480C4⋊C4—44no—
1481C4⋊C4—42no—
1482C4⋊C4—42no—
1483C4⋊C4—44no—
1484C4⋊C4—42no—
1485C4⋊C4—42no—
1486C4⋊C4—44no—
1487C4⋊C4—44no—
1488C4⋊C4—44no—
1489C4⋊C4—42no—
1490C4⋊C4—42no—
1491C4⋊C4—42no—
1492C4⋊C4C22×D414yes—
1493C4⋊C4C22×D414yes—
1494C4⋊C4C22×D4116yes—
1495C4⋊C4C22×D4116yes—
1496C4⋊C4C2×#4114yes—
1497C4⋊C4C2×#4114yes—
1498C4⋊C42−1+414yes—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—28no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—28no—
1507C22⋊C4—28no—
1508C22⋊C4—24no—
1509C22⋊C4—24no—
1510C22⋊C4—24no—
1511C22⋊C4—28no—
1512C22⋊C4—28no—
1513C22⋊C4—24no—
1514C22⋊C4—28no—
1515C22⋊C4—28no—
1516C22⋊C4—28no—
1517C22⋊C4—28no—
1518C22⋊C4—24no—
1519C22⋊C4—24no—
1520C22⋊C4—24no—
1521C22⋊C4—24no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—42no—
1526C22⋊C4—42no—
1527C22⋊C4—42no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4C22×D418yes—
1533C22⋊C4C22×D4116yes—
1534C22⋊C4C22×D4116yes—
1535C22⋊C4C2×#4118yes—
1536C42—22no—
1537C42—24no—
1538C42—28no—
1539C42—22no—
1540C42—22no—
1541C42—22no—
1542C42—28no—
1543C42—24no—
1544C42—24no—
1545C42—22no—
1546C42—22no—
1547C42—22no—
1548C42—22no—
1549C42—28no—
1550C42—28no—
1551C42—28no—
1552C42—28no—
1553C42—28no—
1554C42—28no—
1555C42—24no—
1556C42—24no—
1557C42—28no—
1558C42—28no—
1559C42—28no—
1560C42—24no—
1561C42—22no—
1562C42—22no—
1563C42—22no—
1564C42—22no—
1565C42—24no—
1566C42—42no—
1567C42—42no—
1568C42—42no—
1569C42C22×D418yes—
1570C42C2×#4118yes—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—22no—
1587C23—22no—
1588C23C23×D414yes—
1589C23C23×D412yes—
1590C23C22×#4112yes—
1591C23C2×2−1+412yes—
1592C23C2611yescharacteristic
1593Q8—216no—
1594Q8—216no—
1595Q8—28no—
1596Q8—48no—
1597Q8—48no—
1598Q8—48no—
1599Q8—48no—
1600Q8—48no—
1601Q8—44no—
1602Q8—84no—
1603D4—216no—
1604D4—28no—
1605D4—48no—
1606D4—48no—
1607D4—44no—
1608D4—84no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—24no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—24no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—216no—
1630C2×C4—216no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—24no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—24no—
1643C2×C4—21no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—24no—
1648C2×C4—24no—
1649C2×C4—22no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—24no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—22no—
1665C2×C4—24no—
1666C2×C4—22no—
1667C2×C4—24no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—24no—
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—24no—
1688C2×C4—22no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—44no—
1692C2×C4—48no—
1693C2×C4—44no—
1694C2×C4—44no—
1695C2×C4—48no—
1696C2×C4—44no—
1697C2×C4—48no—
1698C2×C4—48no—
1699C2×C4—88no—
1700C2×C4—88no—
1701C2×C4—84no—
1702C2×C4—84no—
1703C2×C4—88no—
1704C2×C4—82no—
1705C2×C4—82no—
1706C2×C4#547116yes—
1707C2×C4C23×D414yes—
1708C2×C4C23×D418yes—
1709C2×C4C23×D414yes—
1710C2×C4C23×D414yes—
1711C2×C4C23×D412yes—
1712C2×C4C23×D412yes—
1713C2×C4C22×#4114yes—
1714C2×C4C22×#4114yes—
1715C2×C4C22×#4112yes—
1716C2×C4C22×#4112yes—
1717C2×C4C2×2−1+412yes—
1718C2×C4C2×2−1+412yes—
1719C2×C4C2×2−1+412yes—
1720C2×C4C2×2−1+412yes—
1721C2×C4C2×2−1+412yes—
1722C2×C4#58512yes—
1723C22—22no—
1724C22—22no—
1725C22—22no—
1726C22—22no—
1727C22—22no—
1728C22—22no—
1729C22—24no—
1730C22—24no—
1731C22—24no—
1732C22—42no—
1733C22—42no—
1734C22—42no—
1735C22—42no—
1736C22—42no—
1737C22—42no—
1738C22—42no—
1739C22—42no—
1740C22—42no—
1741C22—42no—
1742C22—42no—
1743C22C2×#54714yes—
1744C22C24×D411yescharacteristic
1745C22C23×#4111yescharacteristic
1746C22C22×2−1+411yescharacteristic
1747C22C22×2−1+411yescharacteristic
1748C22C2×#58511yescharacteristic
1749C222−1+611yescharacteristic
1750C222−1+611yescharacteristic
1751C4—24no—
1752C4—22no—
1753C4—22no—
1754C4—24no—
1755C4—24no—
1756C4—22no—
1757C4—24no—
1758C4—22no—
1759C4—24no—
1760C4—28no—
1761C4—42no—
1762C4—44no—
1763C4—41no—
1764C4—42no—
1765C4—41no—
1766C4—42no—
1767C4—42no—
1768C4—42no—
1769C4—42no—
1770C4—41no—
1771C4—44no—
1772C4—42no—
1773C4—41no—
1774C4—41no—
1775C4—42no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—42no—
1780C4—44no—
1781C4C2×#54714yes—
1782C4C2×#54714yes—
1783C2—24no—
1784C2—44no—
1785C2—82no—
1786C2C22×#54711yescharacteristic
1787C2#6283711yescharacteristic
1788C2#6288911yescharacteristic
1789C2#6299511yescharacteristic
1790C2D4×2−1+411yescharacteristic
1791C2#6300111yescharacteristic
1792C2#6300211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#532C22
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×#3509C2semidirect
3. #59829C2semidirect
4. #59828C2semidirect
5. #59653C2semidirect
6. #59428C2semidirect
7. #59116C2semidirect
8. #59114C2semidirect
9. #59113C2semidirect
10. #59111C2semidirect
11. #59109C2semidirect
12. #59106C2semidirect
13. #45429C2semidirect
14. #45394C2semidirect
15. #45334C2semidirect
16. #45326C2semidirect
17. #45238C2semidirect
18. #45185C2semidirect
19. #45177C2semidirect
20. #44964C2semidirect
21. #44475C2semidirect
22. #44042C2semidirect
23. #35673C2semidirect
24. #35667C2semidirect
25. #35662C2semidirect
27. #35619C2semidirect
28. #35519C2semidirect
29. #34938C2semidirect
31. C2×#2446C2semidirect
32. #34276C2semidirect
33. #34276C2semidirect
34. #34250C2semidirect
35. #34249C2semidirect

Maximal subgroups

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

subgroupindex
C2×#35092
C2×#35072
#598292
#598282
#596532
#594282
#591162
#591142
#591132
#591112
#591092
#591062
#454292
#453942
#453342
#453262
#452382
#451852
#451772
#449642
#444752
#440422
#356732
#356672
#356622
#356212
#356192
#355192
#349382
#347442
C2×#24462
#342762
#342502
#342492