Finite Group Databasebeta

← #7678522

Subgroups — #7678522

Order 512.

6942 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3515C211yesmaximal, characteristic, complemented
2C2×Q8×#41C211yesmaximal, characteristic, complemented
3#59828C211yesmaximal, characteristic, complemented
4#59823C211yesmaximal, characteristic, complemented
5#59660C211yesmaximal, characteristic, complemented
6#59655C211yesmaximal, characteristic, complemented
7#59655C211yesmaximal, characteristic, complemented
8#59654C211yesmaximal, characteristic, complemented
9#59418C211yesmaximal, characteristic, complemented
10#59413C211yesmaximal, characteristic, complemented
11#59155C212yesmaximal, complemented
12#59154C212yesmaximal, complemented
13#59083C212yesmaximal, complemented
14#59082C212yesmaximal, complemented
15#45416C212yesmaximal, complemented
16#45332C212yesmaximal, complemented
17#44996C212yesmaximal, complemented
18#44921C212yesmaximal, complemented
19#43044C214yesmaximal, complemented
20#43041C214yesmaximal, complemented
21#39890C212yesmaximal, complemented
22#39878C214yesmaximal, complemented
23#39866C212yesmaximal, complemented
24#38374C214yesmaximal, complemented
25#36442C212yesmaximal, complemented
26#36230C212yesmaximal, complemented
27#35637C212yesmaximal, complemented
28#35526C212yesmaximal, complemented
29#35247C211yesmaximal, characteristic, complemented
30#35244C212yesmaximal, complemented
31#34976C211yesmaximal, characteristic, complemented
32#34910C211yesmaximal, characteristic, complemented
33#34294C212yesmaximal, complemented
34#34225C211yesmaximal, characteristic, complemented
35C4×#536C211yesmaximal, characteristic, complemented
36#3515—216no—
37Q8×#41—216no—
38C2×Q82C2211yescharacteristic
39C2×#557C2212yes—
40C2×#557C2211yescharacteristic
41C2×#557C2211yescharacteristic
42C2×#554C2211yescharacteristic
43C2×#554C2211yescharacteristic
44C2×#554C2211yescharacteristic
45C2×#554C2212yes—
46C2×#554C2214yes—
47C2×#554C2212yes—
48C2×#553C2212yes—
49C2×#552C2212yes—
50C2×#552C2212yes—
51C2×#552C2214yes—
52C2×D4×Q8C2211yescharacteristic
53C2×D4×Q8C2212yes—
54C2×#548C2212yes—
55C2×#547C2211yescharacteristic
56C2×#547C2212yes—
57C2×#541C2212yes—
58C2×#539C2214yes—
59C2×#536C2211yescharacteristic
60C2×#533C2212yes—
61C2×#533C2212yes—
62C2×#533C2214yes—
63C2×#533C2211yescharacteristic
64C2×#529C2211yescharacteristic
65C2×#529C2212yes—
66C22×#125C2212yes—
67C2×#520C2212yes—
68C2×C4×#41C2211yescharacteristic
69C2×C4×#41C2212yes—
70C2×C4×#41C2211yescharacteristic
71C22×C4×Q8C2211yescharacteristic
72C22×C4×Q8C2212yes—
73#2855C2212yes—
74#2854C2212yes—
75#2852C2214yes—
76#2851C2214yes—
77#2732C2214yes—
78#2729C2214yes—
79#2729C2214yes—
80#2728C2214yes—
81#2726C2214yes—
82#2726C2214yes—
83#2720C2214yes—
84#2713C2214yes—
85#2707C2214yes—
86#2707C2214yes—
87#2704C2214yes—
88#2704C2214yes—
89#2698C2214yes—
90#2696C2214yes—
91#2689C2214yes—
92#2687C2214yes—
93#2687C2214yes—
94#2681C2214yes—
95#2681C2214yes—
96#2681C2214yes—
97#2680C2214yes—
98#2680C2214yes—
99#2674C2214yes—
100#2672C2214yes—
101#2637C2214yes—
102#2637C2214yes—
103#2634C2214yes—
104#2611C2214yes—
105#2609C2214yes—
106#2609C2214yes—
107#2604C2214yes—
108#2602C2212yes—
109#2602C2212yes—
110#2601C2214yes—
111#2601C2212yes—
112#2601C2212yes—
113#2599C2214yes—
114#2598C2214yes—
115#2592C2212yes—
116#2584C2212yes—
117#2582C2211yescharacteristic
118#2582C2211yescharacteristic
119#2582C2211yescharacteristic
120#2566C2211yescharacteristic
121#2565C2211yescharacteristic
122#2565C2214yes—
123#2560C2214yes—
124#2558C2214yes—
125#2556C2214yes—
126#2556C2214yes—
127#2552C2212yes—
128#2552C2212yes—
129#2550C2212yes—
130#2550C2212yes—
131#2550C2212yes—
132#2546C2212yes—
133#2545C2211yescharacteristic
134#2544C2211yescharacteristic
135#2542C2212yes—
136#2538C2211yescharacteristic
137#2538C2211yescharacteristic
138#2538C2211yescharacteristic
139#2538C2211yescharacteristic
140#2538C2214yes—
141#2537C2211yescharacteristic
142#2536C2212yes—
143#2536C2214yes—
144#2536C2214yes—
145#2519C2214yes—
146#2506C2214yes—
147#2506C2214yes—
148#2500C2211yescharacteristic
149#2499C2211yescharacteristic
150#2492C2212yes—
151#2492C2212yes—
152#2491C2212yes—
153#2490C2212yes—
154#2489C2212yes—
155#2489C2212yes—
156#2486C2212yes—
157#2485C2212yes—
158#2485C2212yes—
159#2481C2214yes—
160#2477C2214yes—
161#2475C2214yes—
162#2473C2214yes—
163#2473C2214yes—
164#2473C2214yes—
165#2469C2214yes—
166#2468C2214yes—
167#2466C2214yes—
168#2464C2214yes—
169#2463C2214yes—
170#2462C2214yes—
171#2461C2214yes—
172#2460C2214yes—
173#2457C2214yes—
174#2457C2214yes—
175#2456C2214yes—
176#2455C2214yes—
177#2455C2214yes—
178#2454C2212yes—
179#2454C2212yes—
180#2454C2212yes—
181#2453C2212yes—
182#2453C2212yes—
183#2453C2212yes—
184#2453C2212yes—
185#2452C2212yes—
186#2452C2212yes—
187#2451C2212yes—
188#2449C2214yes—
189#2449C2214yes—
190#2446C2212yes—
191#2446C2212yes—
192#2442C2212yes—
193#2442C2212yes—
194#2442C2212yes—
195#2440C2212yes—
196#2440C2212yes—
197#2440C2212yes—
198#2440C2214yes—
199#2439C2214yes—
200#2434C2212yes—
201#2432C2212yes—
202#2432C2211yescharacteristic
203#2431C2211yescharacteristic
204#2429C2212yes—
205#2429C2214yes—
206#2429C2214yes—
207#2429C2212yes—
208#2429C2212yes—
209#2429C2212yes—
210#2428C2212yes—
211#2427C2212yes—
212#2427C2212yes—
213#2426C2212yes—
214#2423C2212yes—
215#2421C2212yes—
216#2417C2214yes—
217#2417C2212yes—
218#2417C2212yes—
219#2415C2214yes—
220#2413C2214yes—
221#2409C2212yes—
222#2409C2212yes—
223#2407C2212yes—
224#2407C2212yes—
225#2407C2212yes—
226#2392C2212yes—
227#2392C2214yes—
228#2392C2212yes—
229#2370C2212yes—
230#2370C2212yes—
231#2367C2212yes—
232#2367C2212yes—
233#2367C2212yes—
234#2367C2214yes—
235#2366C2212yes—
236#2365C2212yes—
237#2362C2212yes—
238#2362C2212yes—
239#2361C2212yes—
240#2361C2212yes—
241#2361C2212yes—
242#2361C2214yes—
243#2360C2212yes—
244#2360C2212yes—
245#2360C2212yes—
246#2360C2214yes—
247#2356C2212yes—
248#2351C2212yes—
249Q8×C4⋊C4C2212yes—
250D4×C4⋊C4C2214yes—
251D4×C4⋊C4C2212yes—
252#2347C2212yes—
253#2346C2212yes—
254#2341C2212yes—
255Q8×C22⋊C4C2212yes—
256#2327C2211yescharacteristic
257#2327C2211yescharacteristic
258#2326C2211yescharacteristic
259#2326C2211yescharacteristic
260#2326C2214yes—
261#2323C2212yes—
262#2323C2212yes—
263#2323C2212yes—
264#2323C2212yes—
265#2323C2212yes—
266#2323C2212yes—
267#2323C2214yes—
268#2322C2212yes—
269#2322C2212yes—
270#2320C2212yes—
271#2317C2211yescharacteristic
272#2311C2211yescharacteristic
273#2310C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×C4⋊Q8C2211yescharacteristic
281C4×#127C2211yescharacteristic
282C4×#124C2211yescharacteristic
283C4×#124C2211yescharacteristic
284C4×#124C2211yescharacteristic
285C4×#124C2211yescharacteristic
286C4×C22⋊Q8C2212yes—
287C4×C22⋊Q8C2212yes—
288C4×C22⋊Q8C2212yes—
289C4×C22⋊Q8C2212yes—
290C4×#123C2212yes—
291C4×#123C2212yes—
292C4×#121C2212yes—
293C4×#121C2214yes—
294C4×#121C2212yes—
295#2290C2212yes—
296#2290C2212yes—
297#2290C2214yes—
298#2285C2211yescharacteristic
299#2276C2212yes—
300C4×#117C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C23×Q8C2311yescharacteristic
305C23×Q8C2312yes—
306Q82—28no—
307#557—28no—
308#557—28no—
309#557—216no—
310#554—28no—
311#554—28no—
312#554—28no—
313#554—216no—
314#554—216no—
315#554—232no—
316#553—216no—
317#552—216no—
318#552—232no—
319#552—216no—
320D4×Q8—28no—
321D4×Q8—216no—
322#548—216no—
323#547—28no—
324#547—216no—
325#541—216no—
326#539—232no—
327#536—28no—
328#533—232no—
329#533—216no—
330#533—216no—
331#533D4116yescomplemented
332C2×C4⋊Q8C2311yescharacteristic
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2314yes—
336C2×C4⋊Q8C2314yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×#127C2311yescharacteristic
345#529—216no—
346#529—28no—
347C2×#126C2314yes—
348C2×#126C2314yes—
349C2×#126C2312yes—
350C2×#126C2314yes—
351C2×#125—216no—
352C2×#125C2311yescharacteristic
353C2×#125C2314yes—
354C2×#125C2314yes—
355C2×#125C2314yes—
356C2×#125C2312yes—
357C2×#125C2312yes—
358C2×#125C2312yes—
359C2×#125C2312yes—
360C2×#125C2314yes—
361C2×#125C2314yes—
362C2×#125C2314yes—
363C2×#125C2314yes—
364C2×#125C2312yes—
365C2×#125C2312yes—
366C2×#124C2314yes—
367C2×#124C2311yescharacteristic
368C2×#124C2311yescharacteristic
369C2×#124C2311yescharacteristic
370C2×#124C2311yescharacteristic
371C2×#124C2311yescharacteristic
372C2×#123C2312yes—
373C2×#123C2312yes—
374C2×#123C2312yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×C22⋊Q8C2314yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2314yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2311yescharacteristic
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×#121C2311yescharacteristic
407C2×#121C2312yes—
408C2×#121C2312yes—
409C2×#121C2314yes—
410C2×#121C2312yes—
411C2×#121C2314yes—
412#520—216no—
413C4×#41—216no—
414C4×#41—28no—
415C4×#41—28no—
416C2×C4×Q8—216no—
417C2×C4×Q8—28no—
418C2×C4×Q8C2311yescharacteristic
419C2×C4×Q8C2312yes—
420C2×C4×Q8C2311yescharacteristic
421C2×C4×Q8C2311yescharacteristic
422C2×C4×Q8C2311yescharacteristic
423C2×C4×Q8C2311yescharacteristic
424C2×C4×Q8C2314yes—
425C2×C4×Q8C2311yescharacteristic
426C2×C4×Q8C2311yescharacteristic
427C2×C4×Q8C2311yescharacteristic
428C2×C4×Q8C2312yes—
429C2×C4×Q8C2314yes—
430C2×C4×Q8C2311yescharacteristic
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2314yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2311yescharacteristic
447C2×C4×D4C2311yescharacteristic
448C2×C4×D4C2312yes—
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2314yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2314yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2314yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2314yes—
463C2×C4×D4C2314yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2314yes—
466C2×C4×D4C2314yes—
467C2×C4×D4C2314yes—
468C2×#117C2311yescharacteristic
469C2×#117C2311yescharacteristic
470C2×#117C2312yes—
471C2×#117C2312yes—
472C2×#117C2314yes—
473C2×#117C2314yes—
474C2×#117C2312yes—
475C2×#117C2311yescharacteristic
476C2×#117C2314yes—
477C2×#117C2311yescharacteristic
478C2×#117C2312yes—
479C2×#117C2312yes—
480C22×C4⋊C4C2311yescharacteristic
481C22×C4⋊C4C2312yes—
482C22×C4⋊C4C2314yes—
483C22×C4⋊C4C2312yes—
484C22×C4⋊C4C2312yes—
485C22×C4⋊C4C2314yes—
486C22×C4⋊C4C2312yes—
487C22×C4⋊C4C2312yes—
488C22×C4⋊C4C2314yes—
489C22×C42C2314yes—
490C22×C42C2312yes—
491C22×C42C2312yes—
492C22×C42C2312yes—
493C22×C42C2311yescharacteristic
494#400C2314yes—
495#400C2314yes—
496#400C2314yes—
497#400C2314yes—
498#400C2314yes—
499#400C2314yes—
500#400C2314yes—
501#399C2314yes—
502#399C2314yes—
503#399C2314yes—
504#398C2314yes—
505#398C2312yes—
506#398C2312yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2314yes—
518#398C2314yes—
519#398C2314yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#398C2314yes—
524#398C2314yes—
525#397C2314yes—
526#397C2314yes—
527#397C2314yes—
528#397C2312yes—
529#397C2312yes—
530#397C2314yes—
531#397C2314yes—
532#396C2312yes—
533#396C2312yes—
534#396C2312yes—
535#396C2312yes—
536#396C2314yes—
537#396C2314yes—
538#396C2314yes—
539#396C2314yes—
540#396C2314yes—
541#396C2314yes—
542#396C2314yes—
543#396C2314yes—
544#396C2314yes—
545#396C2314yes—
546#395C2314yes—
547#395C2314yes—
548#395C2314yes—
549#395C2314yes—
550#395C2314yes—
551#395C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2312yes—
555#394C2312yes—
556#394C2312yes—
557#394C2312yes—
558#394C2312yes—
559#394C2312yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#393C2314yes—
567#393C2314yes—
568#393C2314yes—
569#393C2314yes—
570#392C2314yes—
571#392C2312yes—
572#392C2312yes—
573#392C2314yes—
574#391C2314yes—
575#391C2311yescharacteristic
576#391C2311yescharacteristic
577#391C2311yescharacteristic
578#391C2311yescharacteristic
579#391C2311yescharacteristic
580#391C2312yes—
581#391C2312yes—
582#391C2312yes—
583#391C2312yes—
584#391C2311yescharacteristic
585#391C2311yescharacteristic
586#391C2314yes—
587#391C2312yes—
588#391C2312yes—
589#391C2311yescharacteristic
590#391C2311yescharacteristic
591#391C2312yes—
592#391C2312yes—
593#391C2314yes—
594#391C2314yes—
595#391C2312yes—
596#391C2312yes—
597#391C2312yes—
598#391C2312yes—
599#391C2311yescharacteristic
600#390C2314yes—
601#390C2311yescharacteristic
602#390C2312yes—
603#390C2312yes—
604#390C2311yescharacteristic
605#390C2311yescharacteristic
606#390C2311yescharacteristic
607#390C2311yescharacteristic
608#390C2314yes—
609#390C2312yes—
610#390C2312yes—
611#390C2312yes—
612#390C2314yes—
613#390C2312yes—
614#390C2311yescharacteristic
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2314yes—
634#389C2314yes—
635#389C2314yes—
636#389C2314yes—
637#389C2314yes—
638#389C2314yes—
639#389C2314yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2314yes—
647#389C2314yes—
648#389C2314yes—
649#389C2314yes—
650#389C2314yes—
651#389C2314yes—
652#389C2314yes—
653#389C2314yes—
654#389C2312yes—
655#389C2312yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2312yes—
664#388C2312yes—
665#388C2314yes—
666#388C2312yes—
667#388C2314yes—
668#388C2312yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2312yes—
678#388C2314yes—
679#388C2314yes—
680#388C2312yes—
681#388C2312yes—
682#388C2312yes—
683#388C2312yes—
684#388C2314yes—
685#388C2314yes—
686#388C2312yes—
687#388C2312yes—
688#388C2312yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#387C2312yes—
695#387C2312yes—
696#387C2312yes—
697#387C2314yes—
698#387C2312yes—
699#387C2312yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2312yes—
704#387C2312yes—
705#387C2312yes—
706#387C2314yes—
707#387C2312yes—
708#387C2312yes—
709#387C2312yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2312yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#386C2312yes—
723#386C2312yes—
724#386C2312yes—
725#386C2312yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2312yes—
733#386C2312yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#385C2312yes—
738#385C2312yes—
739#385C2312yes—
740#385C2312yes—
741#385C2312yes—
742#385C2312yes—
743#385C2312yes—
744#385C2312yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2312yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2312yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#384C2311yescharacteristic
765#384C2311yescharacteristic
766#384C2311yescharacteristic
767#384C2311yescharacteristic
768#384C2311yescharacteristic
769#384C2311yescharacteristic
770#384C2314yes—
771#384C2314yes—
772#383C2314yes—
773#382C2314yes—
774#382C2311yescharacteristic
775#382C2311yescharacteristic
776#382C2311yescharacteristic
777#382C2311yescharacteristic
778#382C2314yes—
779#382C2312yes—
780#381C2312yes—
781#381C2312yes—
782#381C2314yes—
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2314yes—
788#380C2312yes—
789#380C2314yes—
790#380C2314yes—
791#380C2312yes—
792#380C2314yes—
793#380C2312yes—
794#380C2312yes—
795#380C2314yes—
796#380C2314yes—
797#380C2312yes—
798#380C2312yes—
799C4×C4⋊C4C2314yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
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⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2314yes—
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2314yes—
822C4×C4⋊C4C2314yes—
823C4×C4⋊C4C2314yes—
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2311yescharacteristic
826C4×C22⋊C4C2311yescharacteristic
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2311yescharacteristic
832C4×C22⋊C4C2311yescharacteristic
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842#376C2311yescharacteristic
843#376C2311yescharacteristic
844#376C2314yes—
845C43C2311yescharacteristic
846C43C2311yescharacteristic
847C2×#41—28no—
848C2×#41—24no—
849C2×#41—24no—
850C2×#41—28no—
851C2×#41—24no—
852C2×#41—24no—
853C2×#41—24no—
854C2×#41—42no—
855C2×#41—44no—
856C22×Q8—28no—
857C22×Q8—24no—
858C22×Q8—28no—
859C22×Q8—24no—
860C22×Q8—42no—
861C22×Q8—44no—
862C22×Q8C2411yescharacteristic
863C22×Q8C2411yescharacteristic
864C22×Q8C2411yescharacteristic
865C22×Q8C2412yes—
866C22×Q8C2414yes—
867C22×Q8C2412yes—
868C22×Q8C2411yescharacteristic
869C22×Q8C2411yescharacteristic
870C22×Q8C2414yes—
871C22×Q8C2412yes—
872C22×D4C2412yes—
873C22×D4C2411yescharacteristic
874C22×D4C2414yes—
875C22×D4C2412yes—
876C22×D4C2414yes—
877C22×D4C2412yes—
878C22×D4C2411yescharacteristic
879C22×D4C2411yescharacteristic
880C22×D4C2412yes—
881C22×D4C2412yes—
882C23×C4C2412yes—
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2414yes—
887C23×C4C2412yes—
888C23×C4C2414yes—
889C23×C4C2412yes—
890C23×C4C2411yescharacteristic
891C23×C4C2411yescharacteristic
892C23×C4C2414yes—
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2414yes—
896C23×C4C2412yes—
897C23×C4C2414yes—
898C23×C4C2411yescharacteristic
899C4⋊Q8—28no—
900C4⋊Q8—216no—
901C4⋊Q8—28no—
902C4⋊Q8—24no—
903C4⋊Q8—24no—
904C4⋊Q8—216no—
905C4⋊Q8—28no—
906C4⋊Q8—28no—
907C4⋊Q8—28no—
908C4⋊Q8—24no—
909C4⋊Q8C2×D418yes—
910C4⋊Q8C2×D418yes—
911#127—24no—
912#126—216no—
913#126—216no—
914#126—28no—
915#126—216no—
916#125—216no—
917#125—216no—
918#125—28no—
919#125—28no—
920#125—216no—
921#125—216no—
922#125—28no—
923#125—28no—
924#125—216no—
925#125—216no—
926#125—28no—
927#125—24no—
928#125—216no—
929#125C2×D4116yes—
930#124—24no—
931#124—24no—
932#124—24no—
933#124—216no—
934#124—24no—
935#124#4118yescomplemented
936#123—28no—
937#123—216no—
938#123—216no—
939#123—216no—
940#123—216no—
941#123—28no—
942#123—28no—
943#123—84no—
944C22⋊Q8—28no—
945C22⋊Q8—216no—
946C22⋊Q8—216no—
947C22⋊Q8—216no—
948C22⋊Q8—28no—
949C22⋊Q8—28no—
950C22⋊Q8—28no—
951C22⋊Q8—24no—
952C22⋊Q8—28no—
953C22⋊Q8—216no—
954C22⋊Q8—216no—
955C22⋊Q8—28no—
956C22⋊Q8—216no—
957C22⋊Q8—216no—
958C22⋊Q8—28no—
959C22⋊Q8—216no—
960C22⋊Q8—216no—
961C22⋊Q8—28no—
962C22⋊Q8—28no—
963C22⋊Q8—216no—
964C22⋊Q8—44no—
965C22⋊Q8—44no—
966C22⋊Q8—84no—
967C22⋊Q8—84no—
968C22⋊Q8C2×D4116yes—
969C22⋊Q8C2×D4116yes—
970#121—28no—
971#121—28no—
972#121—24no—
973#121—28no—
974#121—216no—
975#121—216no—
976C4×Q8—28no—
977C4×Q8—28no—
978C4×Q8—28no—
979C4×Q8—216no—
980C4×Q8—28no—
981C4×Q8—28no—
982C4×Q8—28no—
983C4×Q8—24no—
984C4×Q8—216no—
985C4×Q8—28no—
986C4×Q8—24no—
987C4×Q8—24no—
988C4×Q8—24no—
989C4×Q8—28no—
990C4×Q8—24no—
991C4×Q8—24no—
992C4×Q8—24no—
993C4×Q8—24no—
994C4×Q8—24no—
995C4×Q8—216no—
996C4×Q8—28no—
997C4×Q8—44no—
998C4×Q8—82no—
999C4×Q8—82no—
1000C4×Q8C2×D4116yes—
1001C4×Q8C2×D4116yes—
1002C4×D4—28no—
1003C4×D4—28no—
1004C4×D4—28no—
1005C4×D4—28no—
1006C4×D4—28no—
1007C4×D4—28no—
1008C4×D4—28no—
1009C4×D4—216no—
1010C4×D4—28no—
1011C4×D4—28no—
1012C4×D4—216no—
1013C4×D4—216no—
1014C4×D4—216no—
1015C4×D4—24no—
1016C4×D4—24no—
1017C4×D4—24no—
1018C4×D4—24no—
1019C4×D4—216no—
1020C4×D4—24no—
1021C4×D4—28no—
1022C4×D4—44no—
1023C4×D4—84no—
1024C4×D4—84no—
1025C4×D4—84no—
1026#117—24no—
1027#117—24no—
1028#117—216no—
1029#117—216no—
1030#117—28no—
1031#117—28no—
1032#117—28no—
1033#117—216no—
1034#117—24no—
1035#117—42no—
1036#117—82no—
1037#117C2×D4116yes—
1038C2×C4⋊C4—28no—
1039C2×C4⋊C4—24no—
1040C2×C4⋊C4—28no—
1041C2×C4⋊C4—216no—
1042C2×C4⋊C4—216no—
1043C2×C4⋊C4—28no—
1044C2×C4⋊C4—28no—
1045C2×C4⋊C4—216no—
1046C2×C4⋊C4—28no—
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2411yescharacteristic
1139C2×C22⋊C4C2411yescharacteristic
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2411yescharacteristic
1157C2×C22⋊C4C2411yescharacteristic
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C42—28no—
1178C2×C42—216no—
1179C2×C42—28no—
1180C2×C42—28no—
1181C2×C42C2×D418yes—
1182C2×C42C2412yes—
1183C2×C42C2414yes—
1184C2×C42C2412yes—
1185C2×C42C2412yes—
1186C2×C42C2412yes—
1187C2×C42C2411yescharacteristic
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190C2×C42C2412yes—
1191C2×C42C2412yes—
1192C2×C42C2412yes—
1193C2×C42C2414yes—
1194C2×C42C2412yes—
1195C2×C42C2412yes—
1196C2×C42C2414yes—
1197C2×C42C2414yes—
1198C2×C42C2412yes—
1199C2×C42C2412yes—
1200C2×C42C2411yescharacteristic
1201C2×C42C2411yescharacteristic
1202C2×C42C2411yescharacteristic
1203C2×C42C2411yescharacteristic
1204C2×C42C2414yes—
1205C2×C42C2414yes—
1206C2×C42C2414yes—
1207C2×C42C2411yescharacteristic
1208C2×C42C2411yescharacteristic
1209C2×C42C2414yes—
1210C2×C42C2411yescharacteristic
1211C2×C42C2411yescharacteristic
1212C2×C42C2411yescharacteristic
1213C2×C42C2414yes—
1214C2×C42C2411yescharacteristic
1215C2×C42C2411yescharacteristic
1216C2×C42C2411yescharacteristic
1217C2×C42C2411yescharacteristic
1218#95C2411yescharacteristic
1219#95C2411yescharacteristic
1220#95C2411yescharacteristic
1221#95C2411yescharacteristic
1222#95C2411yescharacteristic
1223#95C2411yescharacteristic
1224#95C2411yescharacteristic
1225#95C2411yescharacteristic
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2414yes—
1233#95C2412yes—
1234#95C2414yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2412yes—
1271#95C2414yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278C24C2512yes—
1279C24C2511yescharacteristic
1280C24C2512yes—
1281C24C2512yes—
1282#41—232no—
1283#41—416no—
1284#41—432no—
1285C2×Q8—22no—
1286C2×Q8—22no—
1287C2×Q8—22no—
1288C2×Q8—24no—
1289C2×Q8—28no—
1290C2×Q8—22no—
1291C2×Q8—22no—
1292C2×Q8—28no—
1293C2×Q8—24no—
1294C2×Q8—24no—
1295C2×Q8—28no—
1296C2×Q8—22no—
1297C2×Q8—22no—
1298C2×Q8—22no—
1299C2×Q8—22no—
1300C2×Q8—22no—
1301C2×Q8—24no—
1302C2×Q8—22no—
1303C2×Q8—22no—
1304C2×Q8—22no—
1305C2×Q8—42no—
1306C2×Q8—44no—
1307C2×Q8—42no—
1308C2×Q8—42no—
1309C2×Q8—44no—
1310C2×Q8—44no—
1311C2×Q8—416no—
1312C2×Q8—432no—
1313C2×Q8C22×D418yes—
1314C2×Q8C22×D418yes—
1315C2×Q8C2×#4114yes—
1316C2×Q82−1+414yes—
1317C2×D4—24no—
1318C2×D4—24no—
1319C2×D4—24no—
1320C2×D4—28no—
1321C2×D4—28no—
1322C2×D4—24no—
1323C2×D4—28no—
1324C2×D4—24no—
1325C2×D4—24no—
1326C2×D4—24no—
1327C2×D4—22no—
1328C2×D4—22no—
1329C2×D4—22no—
1330C2×D4—28no—
1331C2×D4—24no—
1332C2×D4—24no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—42no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—42no—
1341C2×D4—42no—
1342C2×D4—42no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4C2×#4114yes—
1346C2×D42−1+414yes—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—22no—
1350C22×C4—24no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—24no—
1355C22×C4—28no—
1356C22×C4—24no—
1357C22×C4—24no—
1358C22×C4—24no—
1359C22×C4—24no—
1360C22×C4—28no—
1361C22×C4—24no—
1362C22×C4—28no—
1363C22×C4—24no—
1364C22×C4—28no—
1365C22×C4—24no—
1366C22×C4—24no—
1367C22×C4—24no—
1368C22×C4—24no—
1369C22×C4—24no—
1370C22×C4—24no—
1371C22×C4—24no—
1372C22×C4—24no—
1373C22×C4—28no—
1374C22×C4—24no—
1375C22×C4—28no—
1376C22×C4—28no—
1377C22×C4—41no—
1378C22×C4—41no—
1379C22×C4—44no—
1380C22×C4—42no—
1381C22×C4—44no—
1382C22×C4—42no—
1383C22×C4—42no—
1384C22×C4—42no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—42no—
1389C22×C4—42no—
1390C22×C4—42no—
1391C22×C4—44no—
1392C22×C4—44no—
1393C22×C4—44no—
1394C22×C4—42no—
1395C22×C4C22×D414yes—
1396C22×C4C22×D414yes—
1397C22×C4C22×D414yes—
1398C22×C4C2511yescharacteristic
1399C22×C4C2511yescharacteristic
1400C22×C4C2511yescharacteristic
1401C22×C4C2514yes—
1402C22×C4C2511yescharacteristic
1403C22×C4C2511yescharacteristic
1404C22×C4C2511yescharacteristic
1405C22×C4C2514yes—
1406C22×C4C2512yes—
1407C22×C4C2512yes—
1408C22×C4C2512yes—
1409C22×C4C2512yes—
1410C22×C4C2512yes—
1411C22×C4C2512yes—
1412C22×C4C2512yes—
1413C22×C4C2512yes—
1414C22×C4C2512yes—
1415C22×C4C2512yes—
1416C22×C4C2512yes—
1417C22×C4C2511yescharacteristic
1418C22×C4C2511yescharacteristic
1419C22×C4C2514yes—
1420C22×C4C2511yescharacteristic
1421C22×C4C2514yes—
1422C22×C4C2511yescharacteristic
1423C22×C4C2511yescharacteristic
1424C22×C4C2511yescharacteristic
1425C22×C4C2512yes—
1426C22×C4C2512yes—
1427C22×C4C2511yescharacteristic
1428C22×C4C2511yescharacteristic
1429C4⋊C4—24no—
1430C4⋊C4—22no—
1431C4⋊C4—22no—
1432C4⋊C4—28no—
1433C4⋊C4—24no—
1434C4⋊C4—22no—
1435C4⋊C4—24no—
1436C4⋊C4—22no—
1437C4⋊C4—28no—
1438C4⋊C4—24no—
1439C4⋊C4—28no—
1440C4⋊C4—28no—
1441C4⋊C4—24no—
1442C4⋊C4—24no—
1443C4⋊C4—28no—
1444C4⋊C4—24no—
1445C4⋊C4—22no—
1446C4⋊C4—28no—
1447C4⋊C4—28no—
1448C4⋊C4—28no—
1449C4⋊C4—28no—
1450C4⋊C4—24no—
1451C4⋊C4—24no—
1452C4⋊C4—22no—
1453C4⋊C4—24no—
1454C4⋊C4—24no—
1455C4⋊C4—28no—
1456C4⋊C4—28no—
1457C4⋊C4—24no—
1458C4⋊C4—22no—
1459C4⋊C4—22no—
1460C4⋊C4—28no—
1461C4⋊C4—28no—
1462C4⋊C4—28no—
1463C4⋊C4—28no—
1464C4⋊C4—24no—
1465C4⋊C4—28no—
1466C4⋊C4—22no—
1467C4⋊C4—22no—
1468C4⋊C4—28no—
1469C4⋊C4—24no—
1470C4⋊C4—28no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—24no—
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—28no—
1479C4⋊C4—24no—
1480C4⋊C4—24no—
1481C4⋊C4—24no—
1482C4⋊C4—42no—
1483C4⋊C4—42no—
1484C4⋊C4—42no—
1485C4⋊C4—41no—
1486C4⋊C4—41no—
1487C4⋊C4—42no—
1488C4⋊C4—42no—
1489C4⋊C4—42no—
1490C4⋊C4—42no—
1491C4⋊C4—44no—
1492C4⋊C4—44no—
1493C4⋊C4—44no—
1494C4⋊C4—44no—
1495C4⋊C4—44no—
1496C4⋊C4—44no—
1497C4⋊C4—44no—
1498C4⋊C4—42no—
1499C4⋊C4—42no—
1500C4⋊C4—44no—
1501C4⋊C4C22×D418yes—
1502C4⋊C4C22×D4116yes—
1503C4⋊C4C22×D4116yes—
1504C4⋊C4C22×D418yes—
1505C4⋊C4C22×D418yes—
1506C4⋊C4C22×D418yes—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—24no—
1510C22⋊C4—28no—
1511C22⋊C4—24no—
1512C22⋊C4—24no—
1513C22⋊C4—28no—
1514C22⋊C4—24no—
1515C22⋊C4—24no—
1516C22⋊C4—24no—
1517C22⋊C4—24no—
1518C22⋊C4—24no—
1519C22⋊C4—24no—
1520C22⋊C4—28no—
1521C22⋊C4—28no—
1522C22⋊C4—24no—
1523C22⋊C4—28no—
1524C22⋊C4—24no—
1525C22⋊C4—24no—
1526C22⋊C4—28no—
1527C22⋊C4—28no—
1528C22⋊C4—24no—
1529C22⋊C4—22no—
1530C22⋊C4—22no—
1531C22⋊C4—24no—
1532C22⋊C4—24no—
1533C22⋊C4—28no—
1534C22⋊C4—28no—
1535C22⋊C4—24no—
1536C22⋊C4—24no—
1537C22⋊C4—42no—
1538C22⋊C4—42no—
1539C22⋊C4—42no—
1540C22⋊C4—42no—
1541C22⋊C4—41no—
1542C22⋊C4—41no—
1543C22⋊C4—44no—
1544C22⋊C4—42no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—42no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—42no—
1554C22⋊C4—42no—
1555C22⋊C4—44no—
1556C22⋊C4C22×D4116yes—
1557C22⋊C4C2×#4118yes—
1558C22⋊C4C2×#4118yes—
1559C42—24no—
1560C42—24no—
1561C42—24no—
1562C42—24no—
1563C42—24no—
1564C42—28no—
1565C42—24no—
1566C42—24no—
1567C42—28no—
1568C42—24no—
1569C42—24no—
1570C42—24no—
1571C42—28no—
1572C42—24no—
1573C42—22no—
1574C42—28no—
1575C42—22no—
1576C42—22no—
1577C42—22no—
1578C42—22no—
1579C42—22no—
1580C42—22no—
1581C42—41no—
1582C42—41no—
1583C42—44no—
1584C42—44no—
1585C42—44no—
1586C42—44no—
1587C42—41no—
1588C42—41no—
1589C42C22×D414yes—
1590C42C22×D414yes—
1591C42C22×D4116yes—
1592C42C22×D414yes—
1593C42C22×D414yes—
1594C42C2×#4114yes—
1595C23—22no—
1596C23—22no—
1597C23—21no—
1598C23—22no—
1599C23—22no—
1600C23—22no—
1601C23—21no—
1602C23—21no—
1603C23—22no—
1604C23—22no—
1605C23—21no—
1606C23—22no—
1607C23—22no—
1608C23—21no—
1609C23—22no—
1610C23—22no—
1611C23—22no—
1612C23—21no—
1613C23—22no—
1614C23—22no—
1615C23—22no—
1616C23—22no—
1617C23—22no—
1618C23—22no—
1619C23—22no—
1620C23C23×D412yes—
1621C23C22×#4114yes—
1622C23C2×2−1+414yes—
1623C23C2611yescharacteristic
1624Q8—28no—
1625Q8—216no—
1626Q8—28no—
1627Q8—48no—
1628Q8—48no—
1629Q8—416no—
1630Q8—44no—
1631Q8—44no—
1632Q8—44no—
1633Q8—88no—
1634D4—216no—
1635D4—28no—
1636D4—28no—
1637D4—48no—
1638D4—416no—
1639D4—416no—
1640D4—48no—
1641D4—44no—
1642D4—84no—
1643D4—84no—
1644C2×C4—216no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—24no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—22no—
1654C2×C4—24no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—24no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—24no—
1665C2×C4—28no—
1666C2×C4—28no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—24no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—24no—
1694C2×C4—24no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—24no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—24no—
1708C2×C4—24no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—44no—
1725C2×C4—416no—
1726C2×C4—48no—
1727C2×C4—48no—
1728C2×C4—416no—
1729C2×C4—48no—
1730C2×C4—48no—
1731C2×C4—48no—
1732C2×C4—84no—
1733C2×C4—84no—
1734C2×C4—88no—
1735C2×C4—88no—
1736C2×C4—88no—
1737C2×C4—84no—
1738C2×C4C23×D412yes—
1739C2×C4C23×D412yes—
1740C2×C4C23×D412yes—
1741C2×C4C23×D418yes—
1742C2×C4C23×D418yes—
1743C2×C4C23×D412yes—
1744C2×C4C23×D412yes—
1745C2×C4C23×D412yes—
1746C2×C4C22×#4112yes—
1747C2×C4C22×#4112yes—
1748C2×C4C22×#4114yes—
1749C2×C4C22×#4112yes—
1750C2×C4C2×2−1+414yes—
1751C2×C4C2×2−1+412yes—
1752C2×C4C2×2−1+412yes—
1753C2×C4#58512yes—
1754C22—24no—
1755C22—24no—
1756C22—24no—
1757C22—22no—
1758C22—24no—
1759C22—22no—
1760C22—24no—
1761C22—22no—
1762C22—24no—
1763C22—41no—
1764C22—41no—
1765C22—42no—
1766C22—42no—
1767C22—42no—
1768C22—42no—
1769C22—41no—
1770C22—42no—
1771C22—42no—
1772C22—42no—
1773C22—41no—
1774C22—42no—
1775C22—42no—
1776C22—42no—
1777C22—42no—
1778C22—42no—
1779C22—42no—
1780C22—42no—
1781C22—42no—
1782C22C24×D411yescharacteristic
1783C22C23×#4111yescharacteristic
1784C22C22×2−1+411yescharacteristic
1785C22C22×2−1+411yescharacteristic
1786C22C2×#58511yescharacteristic
1787C22H(7,𝔽2)11yescharacteristic
1788C222−1+611yescharacteristic
1789C4—22no—
1790C4—22no—
1791C4—22no—
1792C4—24no—
1793C4—22no—
1794C4—22no—
1795C4—28no—
1796C4—22no—
1797C4—24no—
1798C4—28no—
1799C4—41no—
1800C4—44no—
1801C4—41no—
1802C4—42no—
1803C4—42no—
1804C4—42no—
1805C4—42no—
1806C4—42no—
1807C4—42no—
1808C4—42no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—44no—
1814C4—42no—
1815C4—42no—
1816C4—42no—
1817C4—42no—
1818C4D4×#4114yes—
1819C4#348614yes—
1820C2—44no—
1821C2—44no—
1822C2—42no—
1823C2—82no—
1824C2C2×D4×#4111yescharacteristic
1825C2C2×#348611yescharacteristic
1826C2#6285311yescharacteristic
1827C2#6295011yescharacteristic
1828C2#6295211yescharacteristic
1829C2#6300011yescharacteristic
1830C2#6300111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3515C2semidirect
2. C2×Q8×#41C2semidirect
3. #59828C2semidirect
4. #59823C2semidirect
5. #59660C2semidirect
6. #59655C2semidirect
7. #59655C2semidirect
8. #59654C2semidirect
9. #59418C2semidirect
10. #59413C2semidirect
11. #59155C2semidirect
12. #59154C2semidirect
13. #59083C2semidirect
14. #59082C2semidirect
15. #45416C2semidirect
16. #45332C2semidirect
17. #44996C2semidirect
18. #44921C2semidirect
19. #43044C2semidirect
20. #43041C2semidirect
21. #39890C2semidirect
22. #39878C2semidirect
23. #39866C2semidirect
24. #38374C2semidirect
25. #36442C2semidirect
26. #36230C2semidirect
27. #35637C2semidirect
28. #35526C2semidirect
29. #35247C2semidirect
30. #35244C2semidirect
31. #34976C2semidirect
32. #34910C2semidirect
33. #34294C2semidirect
34. #34225C2semidirect
35. C4×#536C2semidirect
331. #533D4semidirect
935. #124#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35152
C2×Q8×#412
#598282
#598232
#596602
#596552
#596542
#594182
#594132
#591552
#591542
#590832
#590822
#454162
#453322
#449962
#449212
#430442
#430412
#398902
#398782
#398662
#383742
#364422
#362302
#356372
#355262
#352472
#352442
#349762
#349102
#342942
#342252
C4×#5362