Finite Group Databasebeta

← #7690007

Subgroups — #7690007

Order 512.

6965 conjugacy classes of subgroups.

The subgroup lattice has 1827 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3515C211yesmaximal, characteristic, complemented
2C2×#3482C211yesmaximal, characteristic, complemented
3#59828C211yesmaximal, characteristic, complemented
4#59806C212yesmaximal, complemented
5#59111C212yesmaximal, complemented
6#59109C214yesmaximal, complemented
7#59071C211yesmaximal, characteristic, complemented
8#59067C211yesmaximal, characteristic, complemented
9#59062C212yesmaximal, complemented
10#59061C212yesmaximal, complemented
11#45326C212yesmaximal, complemented
12#45261C212yesmaximal, complemented
13#44475C214yesmaximal, complemented
14#44461C214yesmaximal, complemented
15#39490C211yesmaximal, characteristic, complemented
16#39487C212yesmaximal, complemented
17#38923C211yesmaximal, characteristic, complemented
18#38919C212yesmaximal, complemented
19#37793C212yesmaximal, complemented
20#37790C214yesmaximal, complemented
21#36423C212yesmaximal, complemented
22#36276C211yesmaximal, characteristic, complemented
23#36275C211yesmaximal, characteristic, complemented
24#36275C211yesmaximal, characteristic, complemented
25#36274C211yesmaximal, characteristic, complemented
26#36217C212yesmaximal, complemented
27#36151C211yesmaximal, characteristic, complemented
28#36116C212yesmaximal, complemented
29#36067C212yesmaximal, complemented
30#36020C212yesmaximal, complemented
31#34724C211yesmaximal, characteristic, complemented
32C2×#2453C212yesmaximal, complemented
33#34308C211yesmaximal, characteristic, complemented
34#34250C212yesmaximal, complemented
35C4×#547C211yesmaximal, characteristic, complemented
36#3515—216no—
37#3482—216no—
38C2×#557C2211yescharacteristic
39C2×#557C2211yescharacteristic
40C2×#556C2211yescharacteristic
41C2×#556C2212yes—
42C2×#554C2211yescharacteristic
43C2×#554C2211yescharacteristic
44C2×#553C2212yes—
45C2×#552C2212yes—
46C2×#552C2212yes—
47C2×#552C2214yes—
48C2×#552C2212yes—
49C2×#552C2214yes—
50C2×D4×Q8C2211yescharacteristic
51C2×#548C2212yes—
52C2×#547C2212yes—
53C2×#547C2211yescharacteristic
54C2×#547C2212yes—
55C2×#547C2211yescharacteristic
56C2×#541C2212yes—
57C2×#539C2214yes—
58C2×#533C2211yescharacteristic
59C2×#533C2211yescharacteristic
60C2×#533C2212yes—
61C2×#529C2211yescharacteristic
62C2×#529C2212yes—
63C2×#529C2212yes—
64C2×#529C2214yes—
65C22×#125C2212yes—
66C2×#520C2212yes—
67C2×#520C2212yes—
68C2×C4×#41C2211yescharacteristic
69C2×C4×#41C2211yescharacteristic
70C2×C4×#41C2212yes—
71C2×C4×#41C2211yescharacteristic
72C22×C4×Q8C2212yes—
73#2862C2211yescharacteristic
74#2857C2211yescharacteristic
75#2857C2212yes—
76#2857C2211yescharacteristic
77#2855C2212yes—
78#2855C2212yes—
79#2855C2212yes—
80#2853C2214yes—
81#2727C2214yes—
82#2726C2214yes—
83#2726C2214yes—
84#2725C2214yes—
85#2725C2214yes—
86#2722C2214yes—
87#2722C2214yes—
88#2721C2214yes—
89#2721C2214yes—
90#2720C2214yes—
91#2719C2214yes—
92#2719C2214yes—
93#2719C2214yes—
94#2718C2214yes—
95#2715C2214yes—
96#2710C2214yes—
97#2698C2214yes—
98#2695C2214yes—
99#2689C2214yes—
100#2689C2214yes—
101#2689C2214yes—
102#2625C2212yes—
103#2623C2214yes—
104#2621C2212yes—
105#2618C2214yes—
106#2582C2211yescharacteristic
107#2582C2211yescharacteristic
108#2568C2211yescharacteristic
109#2567C2211yescharacteristic
110#2567C2211yescharacteristic
111#2552C2212yes—
112#2552C2212yes—
113#2550C2212yes—
114#2550C2212yes—
115#2549C2214yes—
116#2549C2214yes—
117#2547C2212yes—
118#2546C2211yescharacteristic
119#2546C2212yes—
120#2543C2214yes—
121#2536C2212yes—
122#2521C2214yes—
123#2506C2214yes—
124#2503C2212yes—
125#2502C2212yes—
126#2499C2212yes—
127#2498C2214yes—
128#2498C2214yes—
129#2496C2214yes—
130#2489C2212yes—
131#2489C2212yes—
132#2489C2212yes—
133#2488C2214yes—
134#2487C2212yes—
135#2487C2212yes—
136#2486C2214yes—
137#2485C2212yes—
138#2484C2214yes—
139#2484C2214yes—
140#2478C2214yes—
141#2478C2214yes—
142#2478C2214yes—
143#2478C2212yes—
144#2475C2214yes—
145#2474C2214yes—
146#2470C2212yes—
147#2469C2214yes—
148#2469C2214yes—
149#2466C2212yes—
150#2462C2214yes—
151#2462C2214yes—
152#2462C2214yes—
153#2455C2212yes—
154#2453C2212yes—
155#2453C2212yes—
156#2453C2214yes—
157#2453C2212yes—
158#2453C2212yes—
159#2453C2212yes—
160#2453C2212yes—
161#2453C2212yes—
162#2453C2211yescharacteristic
163#2453C2214yes—
164#2453C2212yes—
165#2453C2214yes—
166#2453C2212yes—
167#2453C2212yes—
168#2453C2214yes—
169#2453C2212yes—
170#2451C2212yes—
171#2450C2214yes—
172#2449C2214yes—
173#2449C2214yes—
174#2447C2211yescharacteristic
175#2447C2212yes—
176#2447C2212yes—
177#2446C2212yes—
178#2446C2212yes—
179#2446C2212yes—
180#2446C2212yes—
181#2444C2214yes—
182#2444C2214yes—
183#2444C2214yes—
184#2443C2214yes—
185#2441C2211yescharacteristic
186#2441C2212yes—
187#2441C2212yes—
188#2441C2212yes—
189#2439C2212yes—
190#2438C2214yes—
191#2438C2214yes—
192#2438C2214yes—
193#2438C2214yes—
194#2434C2212yes—
195#2432C2211yescharacteristic
196#2429C2212yes—
197#2429C2212yes—
198#2429C2212yes—
199#2429C2211yescharacteristic
200#2429C2212yes—
201#2427C2212yes—
202#2425C2214yes—
203#2425C2214yes—
204#2423C2212yes—
205#2422C2211yescharacteristic
206#2421C2212yes—
207#2421C2212yes—
208#2421C2212yes—
209#2419C2214yes—
210#2419C2214yes—
211#2419C2214yes—
212#2419C2214yes—
213#2417C2212yes—
214#2417C2212yes—
215#2417C2212yes—
216#2417C2212yes—
217#2415C2212yes—
218#2415C2212yes—
219#2415C2211yescharacteristic
220#2413C2214yes—
221#2413C2214yes—
222#2413C2214yes—
223#2409C2212yes—
224#2407C2211yescharacteristic
225#2395C2212yes—
226C2×#400C2214yes—
227#2392C2212yes—
228C2×#398C2214yes—
229#2365C2211yescharacteristic
230#2365C2212yes—
231#2365C2212yes—
232#2365C2211yescharacteristic
233#2362C2211yescharacteristic
234#2362C2212yes—
235#2362C2212yes—
236#2362C2212yes—
237#2362C2211yescharacteristic
238#2361C2212yes—
239#2361C2212yes—
240#2360C2212yes—
241#2359C2214yes—
242#2359C2212yes—
243#2359C2212yes—
244#2354C2211yescharacteristic
245#2351C2212yes—
246#2351C2212yes—
247Q8×C4⋊C4C2212yes—
248Q8×C4⋊C4C2212yes—
249#2349C2212yes—
250#2349C2214yes—
251#2349C2212yes—
252#2349C2212yes—
253#2349C2214yes—
254D4×C4⋊C4C2211yescharacteristic
255D4×C4⋊C4C2211yescharacteristic
256D4×C4⋊C4C2214yes—
257D4×C4⋊C4C2212yes—
258D4×C4⋊C4C2211yescharacteristic
259D4×C4⋊C4C2212yes—
260D4×C4⋊C4C2214yes—
261#2344C2212yes—
262#2344C2214yes—
263#2344C2212yes—
264#2339C2212yes—
265#2339C2211yescharacteristic
266#2339C2211yescharacteristic
267#2339C2212yes—
268#2339C2212yes—
269#2339C2212yes—
270#2323C2212yes—
271#2322C2214yes—
272#2317C2214yes—
273#2317C2212yes—
274#2316C2212yes—
275#2316C2214yes—
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic
283C4×#123C2212yes—
284C4×#123C2212yes—
285C4×#123C2212yes—
286C4×#121C2212yes—
287C4×#121C2212yes—
288#2296C2214yes—
289#2296C2212yes—
290C2×#391C2212yes—
291C2×#391C2212yes—
292#2293C2211yescharacteristic
293C2×#389C2212yes—
294C2×#389C2214yes—
295C2×#389C2212yes—
296C2×#389C2212yes—
297C2×#387C2214yes—
298C42×D4C2211yescharacteristic
299C42×D4C2211yescharacteristic
300C2×C4×C4⋊C4C2212yes—
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C23×Q8C2312yes—
306#557—28no—
307#557—28no—
308#556—216no—
309#556—28no—
310#554—28no—
311#554—28no—
312#553—216no—
313#552—232no—
314#552—232no—
315#552—216no—
316#552—216no—
317#552—216no—
318D4×Q8—28no—
319#548—216no—
320#547—216no—
321#547—216no—
322#547—28no—
323#547D4116yescomplemented
324#541—216no—
325#539—232no—
326#533—28no—
327#533—28no—
328#533—216no—
329C2×C4⋊Q8C2311yescharacteristic
330C2×C4⋊Q8C2311yescharacteristic
331C2×C4⋊Q8C2311yescharacteristic
332C2×C4⋊Q8C2311yescharacteristic
333C2×C4⋊Q8C2312yes—
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2311yescharacteristic
338#529—232no—
339#529—216no—
340#529—216no—
341#529—28no—
342C2×#126C2314yes—
343C2×#126C2314yes—
344C2×#126C2312yes—
345C2×#126C2314yes—
346C2×#126C2314yes—
347C2×#126C2314yes—
348C2×#126C2314yes—
349C2×#125—216no—
350C2×#125C2311yescharacteristic
351C2×#125C2312yes—
352C2×#125C2314yes—
353C2×#125C2312yes—
354C2×#125C2314yes—
355C2×#125C2312yes—
356C2×#125C2312yes—
357C2×#125C2314yes—
358C2×#125C2312yes—
359C2×#125C2314yes—
360C2×#125C2314yes—
361C2×#125C2312yes—
362C2×#125C2314yes—
363C2×#124C2311yescharacteristic
364C2×#124C2312yes—
365C2×#124C2314yes—
366C2×#123C2314yes—
367C2×#123C2312yes—
368C2×#123C2312yes—
369C2×#123C2314yes—
370C2×#123C2314yes—
371C2×#123C2314yes—
372C2×#123C2314yes—
373C2×#123C2312yes—
374C2×#123C2312yes—
375C2×#123C2314yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2311yescharacteristic
380C2×C22⋊Q8C2311yescharacteristic
381C2×C22⋊Q8C2311yescharacteristic
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2311yescharacteristic
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2314yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2311yescharacteristic
395C2×C22⋊Q8C2312yes—
396C2×#121C2312yes—
397C2×#121C2311yescharacteristic
398C2×#121C2314yes—
399C2×#121C2314yes—
400C2×#121C2312yes—
401#520—216no—
402#520—216no—
403C4×#41—216no—
404C4×#41—28no—
405C4×#41—28no—
406C4×#41—28no—
407C2×C4×Q8—216no—
408C2×C4×Q8C2311yescharacteristic
409C2×C4×Q8C2311yescharacteristic
410C2×C4×Q8C2311yescharacteristic
411C2×C4×Q8C2312yes—
412C2×C4×Q8C2311yescharacteristic
413C2×C4×Q8C2312yes—
414C2×C4×Q8C2312yes—
415C2×C4×Q8C2312yes—
416C2×C4×Q8C2312yes—
417C2×C4×Q8C2312yes—
418C2×C4×Q8C2312yes—
419C2×C4×Q8C2312yes—
420C2×C4×Q8C2311yescharacteristic
421C2×C4×Q8C2311yescharacteristic
422C2×C4×Q8C2312yes—
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2311yescharacteristic
425C2×C4×Q8C2314yes—
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2314yes—
428C2×C4×D4C2314yes—
429C2×C4×D4C2311yescharacteristic
430C2×C4×D4C2312yes—
431C2×C4×D4C2311yescharacteristic
432C2×C4×D4C2311yescharacteristic
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2314yes—
437C2×C4×D4C2311yescharacteristic
438C2×C4×D4C2314yes—
439C2×C4×D4C2314yes—
440C2×C4×D4C2314yes—
441C2×C4×D4C2314yes—
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2311yescharacteristic
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2311yescharacteristic
456C2×#117C2314yes—
457C2×#117C2312yes—
458C2×#117C2312yes—
459C2×#117C2314yes—
460C2×#117C2312yes—
461C2×#117C2314yes—
462C2×#117C2312yes—
463C2×#117C2312yes—
464C2×#117C2314yes—
465C2×#117C2314yes—
466C2×#117C2311yescharacteristic
467C2×#117C2311yescharacteristic
468C2×#117C2312yes—
469C2×#117C2312yes—
470C2×#117C2311yescharacteristic
471C2×#117C2312yes—
472C22×C4⋊C4C2314yes—
473C22×C4⋊C4C2312yes—
474C22×C4⋊C4C2314yes—
475C22×C4⋊C4C2312yes—
476C22×C4⋊C4C2312yes—
477C22×C4⋊C4C2314yes—
478C22×C4⋊C4C2314yes—
479C22×C4⋊C4C2312yes—
480C22×C4⋊C4C2314yes—
481C22×C4⋊C4C2312yes—
482C22×C4⋊C4C2314yes—
483C22×C4⋊C4C2312yes—
484C22×C4⋊C4C2312yes—
485C22×C42C2314yes—
486C22×C42C2312yes—
487C22×C42C2312yes—
488C22×C42C2312yes—
489C22×C42C2311yescharacteristic
490C22×C42C2311yescharacteristic
491C22×C42C2312yes—
492#400C2314yes—
493#400C2314yes—
494#400C2314yes—
495#400C2312yes—
496#400C2314yes—
497#400C2314yes—
498#400C2314yes—
499#400C2314yes—
500#400C2314yes—
501#400C2314yes—
502#400C2314yes—
503#400C2314yes—
504#400C2314yes—
505#400C2314yes—
506#399C2312yes—
507#399C2314yes—
508#399C2314yes—
509#399C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2314yes—
518#398C2312yes—
519#398C2314yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#398C2314yes—
524#398C2314yes—
525#398C2312yes—
526#398C2314yes—
527#398C2314yes—
528#398C2314yes—
529#398C2314yes—
530#398C2314yes—
531#398C2314yes—
532#398C2314yes—
533#398C2314yes—
534#397C2314yes—
535#397C2314yes—
536#397C2314yes—
537#397C2314yes—
538#397C2314yes—
539#397C2314yes—
540#397C2312yes—
541#397C2312yes—
542#397C2312yes—
543#397C2312yes—
544#397C2314yes—
545#397C2314yes—
546#397C2314yes—
547#397C2314yes—
548#396C2314yes—
549#396C2314yes—
550#396C2314yes—
551#396C2314yes—
552#396C2312yes—
553#396C2312yes—
554#396C2314yes—
555#396C2314yes—
556#395C2314yes—
557#395C2314yes—
558#395C2314yes—
559#395C2314yes—
560#395C2314yes—
561#394C2312yes—
562#394C2314yes—
563#394C2312yes—
564#394C2312yes—
565#394C2312yes—
566#394C2312yes—
567#394C2314yes—
568#393C2314yes—
569#392C2312yes—
570#391C2312yes—
571#391C2311yescharacteristic
572#391C2311yescharacteristic
573#391C2311yescharacteristic
574#391C2311yescharacteristic
575#391C2312yes—
576#391C2312yes—
577#391C2312yes—
578#391C2312yes—
579#391C2312yes—
580#391C2312yes—
581#391C2312yes—
582#391C2312yes—
583#391C2312yes—
584#391C2312yes—
585#391C2311yescharacteristic
586#391C2311yescharacteristic
587#391C2311yescharacteristic
588#391C2312yes—
589#391C2312yes—
590#391C2312yes—
591#391C2312yes—
592#391C2312yes—
593#391C2312yes—
594#391C2312yes—
595#391C2311yescharacteristic
596#391C2314yes—
597#391C2314yes—
598#391C2314yes—
599#391C2314yes—
600#390C2312yes—
601#390C2311yescharacteristic
602#390C2311yescharacteristic
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2311yescharacteristic
614#389C2312yes—
615#389C2314yes—
616#389C2314yes—
617#389C2314yes—
618#389C2314yes—
619#389C2312yes—
620#389C2312yes—
621#389C2314yes—
622#389C2314yes—
623#389C2314yes—
624#389C2312yes—
625#389C2314yes—
626#389C2314yes—
627#389C2312yes—
628#389C2314yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2311yescharacteristic
634#389C2312yes—
635#389C2312yes—
636#389C2311yescharacteristic
637#389C2314yes—
638#389C2312yes—
639#389C2312yes—
640#389C2314yes—
641#389C2312yes—
642#389C2314yes—
643#389C2311yescharacteristic
644#389C2314yes—
645#389C2314yes—
646#389C2314yes—
647#389C2314yes—
648#389C2312yes—
649#389C2314yes—
650#389C2312yes—
651#389C2314yes—
652#389C2314yes—
653#389C2314yes—
654#389C2314yes—
655#389C2311yescharacteristic
656#389C2311yescharacteristic
657#389C2312yes—
658#389C2314yes—
659#389C2314yes—
660#389C2312yes—
661#388C2312yes—
662#388C2314yes—
663#388C2314yes—
664#388C2312yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2312yes—
669#388C2312yes—
670#388C2312yes—
671#388C2312yes—
672#388C2312yes—
673#388C2312yes—
674#388C2312yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2312yes—
681#388C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2312yes—
695#387C2312yes—
696#387C2314yes—
697#387C2312yes—
698#387C2312yes—
699#387C2314yes—
700#387C2312yes—
701#387C2312yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2312yes—
710#387C2312yes—
711#387C2312yes—
712#387C2314yes—
713#387C2314yes—
714#387C2312yes—
715#387C2314yes—
716#386C2314yes—
717#386C2312yes—
718#386C2314yes—
719#386C2314yes—
720#386C2312yes—
721#386C2312yes—
722#386C2312yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2312yes—
729#386C2314yes—
730#385C2312yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2312yes—
743#385C2312yes—
744#385C2312yes—
745#385C2314yes—
746#385C2312yes—
747#385C2314yes—
748#385C2314yes—
749#385C2312yes—
750#385C2314yes—
751#385C2312yes—
752#385C2312yes—
753#385C2312yes—
754#385C2312yes—
755#385C2312yes—
756#384C2311yescharacteristic
757#384C2311yescharacteristic
758#384C2311yescharacteristic
759#384C2312yes—
760#384C2312yes—
761#384C2314yes—
762#384C2314yes—
763#382C2312yes—
764#382C2312yes—
765#382C2314yes—
766#382C2314yes—
767#382C2312yes—
768#381C2314yes—
769#381C2314yes—
770#381C2314yes—
771#381C2314yes—
772#381C2312yes—
773#381C2312yes—
774#381C2312yes—
775#381C2314yes—
776#381C2314yes—
777#380C2312yes—
778#380C2314yes—
779#380C2314yes—
780#380C2314yes—
781#380C2314yes—
782#380C2314yes—
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2311yescharacteristic
788#380C2311yescharacteristic
789#380C2312yes—
790#380C2314yes—
791#380C2314yes—
792#380C2312yes—
793#380C2314yes—
794#380C2311yescharacteristic
795#380C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2314yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2314yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2314yes—
815C4×C4⋊C4C2314yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2311yescharacteristic
825C4×C22⋊C4C2311yescharacteristic
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2311yescharacteristic
833C4×C22⋊C4C2311yescharacteristic
834C4×C22⋊C4C2311yescharacteristic
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2311yescharacteristic
837C2×#95C2314yes—
838C2×#95C2312yes—
839C2×#95C2314yes—
840C2×#95C2312yes—
841C2×#95C2314yes—
842C2×#95C2314yes—
843C2×#95C2314yes—
844C2×#95C2314yes—
845C2×#95C2314yes—
846C43C2311yescharacteristic
847C2×#41—24no—
848C2×#41—24no—
849C2×#41—24no—
850C2×#41—24no—
851C2×#41—28no—
852C2×#41—24no—
853C2×#41—24no—
854C2×#41—28no—
855C2×#41—24no—
856C2×#41—24no—
857C2×#41—42no—
858C2×#41C2×D4116yes—
859C22×Q8—28no—
860C22×Q8—28no—
861C22×Q8—44no—
862C22×Q8C2411yescharacteristic
863C22×Q8C2412yes—
864C22×Q8C2411yescharacteristic
865C22×Q8C2411yescharacteristic
866C22×Q8C2414yes—
867C22×Q8C2412yes—
868C22×Q8C2411yescharacteristic
869C22×Q8C2412yes—
870C22×D4C2412yes—
871C22×D4C2412yes—
872C22×D4C2412yes—
873C22×D4C2414yes—
874C22×D4C2411yescharacteristic
875C22×D4C2411yescharacteristic
876C22×D4C2412yes—
877C22×D4C2411yescharacteristic
878C23×C4C2412yes—
879C23×C4C2412yes—
880C23×C4C2411yescharacteristic
881C23×C4C2411yescharacteristic
882C23×C4C2411yescharacteristic
883C23×C4C2411yescharacteristic
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2414yes—
887C23×C4C2411yescharacteristic
888C23×C4C2412yes—
889C23×C4C2414yes—
890C23×C4C2412yes—
891C23×C4C2412yes—
892C23×C4C2414yes—
893C23×C4C2412yes—
894C23×C4C2414yes—
895C23×C4C2414yes—
896C23×C4C2414yes—
897C23×C4C2411yescharacteristic
898C23×C4C2412yes—
899C23×C4C2412yes—
900C4⋊Q8—28no—
901C4⋊Q8—28no—
902C4⋊Q8—24no—
903C4⋊Q8—28no—
904C4⋊Q8—24no—
905C4⋊Q8—24no—
906C4⋊Q8—24no—
907C4⋊Q8—44no—
908C4⋊Q8C2×D418yes—
909#126—216no—
910#126—216no—
911#126—216no—
912#126—28no—
913#126—216no—
914#126—216no—
915#126—216no—
916#125—24no—
917#125—28no—
918#125—216no—
919#125—216no—
920#125—28no—
921#125—28no—
922#125—216no—
923#125—28no—
924#125—28no—
925#125—216no—
926#125—216no—
927#125—216no—
928#125—28no—
929#124—24no—
930#124—28no—
931#124—216no—
932#123—216no—
933#123—216no—
934#123—216no—
935#123—216no—
936#123—28no—
937#123—216no—
938#123—28no—
939#123—28no—
940#123—44no—
941#123C2×D4132yes—
942C22⋊Q8—28no—
943C22⋊Q8—28no—
944C22⋊Q8—24no—
945C22⋊Q8—28no—
946C22⋊Q8—28no—
947C22⋊Q8—28no—
948C22⋊Q8—28no—
949C22⋊Q8—24no—
950C22⋊Q8—28no—
951C22⋊Q8—28no—
952C22⋊Q8—24no—
953C22⋊Q8—24no—
954C22⋊Q8—216no—
955C22⋊Q8—216no—
956C22⋊Q8—216no—
957C22⋊Q8—216no—
958C22⋊Q8—44no—
959C22⋊Q8—42no—
960C22⋊Q8—44no—
961C22⋊Q8C2×D4116yes—
962#121—216no—
963#121—24no—
964#121—216no—
965#121—28no—
966#121C2×D4116yes—
967C4×Q8—28no—
968C4×Q8—28no—
969C4×Q8—28no—
970C4×Q8—28no—
971C4×Q8—24no—
972C4×Q8—216no—
973C4×Q8—28no—
974C4×Q8—28no—
975C4×Q8—216no—
976C4×Q8—28no—
977C4×Q8—24no—
978C4×Q8—24no—
979C4×Q8—28no—
980C4×Q8—28no—
981C4×Q8—28no—
982C4×Q8—24no—
983C4×Q8—24no—
984C4×Q8—24no—
985C4×Q8—24no—
986C4×Q8—28no—
987C4×D4—24no—
988C4×D4—24no—
989C4×D4—24no—
990C4×D4—216no—
991C4×D4—28no—
992C4×D4—216no—
993C4×D4—216no—
994C4×D4—28no—
995C4×D4—216no—
996C4×D4—28no—
997C4×D4—28no—
998C4×D4—24no—
999C4×D4—28no—
1000C4×D4—28no—
1001C4×D4—28no—
1002C4×D4—28no—
1003C4×D4—216no—
1004C4×D4—28no—
1005C4×D4—28no—
1006C4×D4—28no—
1007C4×D4—216no—
1008C4×D4—24no—
1009C4×D4—44no—
1010C4×D4—42no—
1011C4×D4—42no—
1012C4×D4C2×D418yes—
1013C4×D4C2×D418yes—
1014C4×D4#4118yescomplemented
1015#117—216no—
1016#117—28no—
1017#117—28no—
1018#117—216no—
1019#117—24no—
1020#117—24no—
1021#117—24no—
1022#117—28no—
1023#117—28no—
1024#117—28no—
1025#117—28no—
1026#117—28no—
1027#117—216no—
1028#117—216no—
1029#117—216no—
1030#117—28no—
1031C2×C4⋊C4—216no—
1032C2×C4⋊C4—216no—
1033C2×C4⋊C4—28no—
1034C2×C4⋊C4—216no—
1035C2×C4⋊C4—28no—
1036C2×C4⋊C4—216no—
1037C2×C4⋊C4—28no—
1038C2×C4⋊C4—28no—
1039C2×C4⋊C4—44no—
1040C2×C4⋊C4—48no—
1041C2×C4⋊C4—48no—
1042C2×C4⋊C4—44no—
1043C2×C4⋊C4C2×D4116yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2411yescharacteristic
1146C2×C22⋊C4C2411yescharacteristic
1147C2×C22⋊C4C2411yescharacteristic
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2411yescharacteristic
1153C2×C22⋊C4C2411yescharacteristic
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C42—28no—
1170C2×C42—216no—
1171C2×C42—28no—
1172C2×C42—28no—
1173C2×C42—24no—
1174C2×C42—24no—
1175C2×C42—44no—
1176C2×C42C2411yescharacteristic
1177C2×C42C2412yes—
1178C2×C42C2412yes—
1179C2×C42C2411yescharacteristic
1180C2×C42C2414yes—
1181C2×C42C2412yes—
1182C2×C42C2414yes—
1183C2×C42C2414yes—
1184C2×C42C2411yescharacteristic
1185C2×C42C2412yes—
1186C2×C42C2414yes—
1187C2×C42C2412yes—
1188C2×C42C2412yes—
1189C2×C42C2414yes—
1190C2×C42C2414yes—
1191C2×C42C2412yes—
1192C2×C42C2412yes—
1193C2×C42C2412yes—
1194C2×C42C2414yes—
1195C2×C42C2411yescharacteristic
1196C2×C42C2411yescharacteristic
1197C2×C42C2412yes—
1198C2×C42C2412yes—
1199C2×C42C2412yes—
1200C2×C42C2411yescharacteristic
1201C2×C42C2411yescharacteristic
1202C2×C42C2411yescharacteristic
1203C2×C42C2411yescharacteristic
1204C2×C42C2411yescharacteristic
1205C2×C42C2411yescharacteristic
1206C2×C42C2412yes—
1207C2×C42C2412yes—
1208C2×C42C2411yescharacteristic
1209C2×C42C2411yescharacteristic
1210#95C2411yescharacteristic
1211#95C2411yescharacteristic
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2414yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2411yescharacteristic
1245#95C2411yescharacteristic
1246#95C2411yescharacteristic
1247#95C2411yescharacteristic
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2414yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2414yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2412yes—
1269#95C2414yes—
1270#95C2412yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276C24C2511yescharacteristic
1277C24C2511yescharacteristic
1278C24C2512yes—
1279C24C2512yes—
1280#41—264no—
1281#41—416no—
1282#41—416no—
1283#41—416no—
1284C2×Q8—22no—
1285C2×Q8—22no—
1286C2×Q8—28no—
1287C2×Q8—24no—
1288C2×Q8—22no—
1289C2×Q8—22no—
1290C2×Q8—24no—
1291C2×Q8—24no—
1292C2×Q8—22no—
1293C2×Q8—22no—
1294C2×Q8—24no—
1295C2×Q8—22no—
1296C2×Q8—28no—
1297C2×Q8—24no—
1298C2×Q8—22no—
1299C2×Q8—22no—
1300C2×Q8—22no—
1301C2×Q8—22no—
1302C2×Q8—24no—
1303C2×Q8—44no—
1304C2×Q8—42no—
1305C2×Q8—42no—
1306C2×Q8—432no—
1307C2×Q8C22×D418yes—
1308C2×Q82−1+414yes—
1309C2×D4—28no—
1310C2×D4—28no—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—24no—
1314C2×D4—24no—
1315C2×D4—24no—
1316C2×D4—24no—
1317C2×D4—24no—
1318C2×D4—24no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—24no—
1322C2×D4—22no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—42no—
1326C2×D4—42no—
1327C2×D4—42no—
1328C2×D4C22×D4116yes—
1329C2×D4C22×D414yes—
1330C2×D4C22×D414yes—
1331C2×D4C2×#4114yes—
1332C2×D42−1+414yes—
1333C22×C4—28no—
1334C22×C4—28no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—24no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—28no—
1343C22×C4—24no—
1344C22×C4—24no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—24no—
1350C22×C4—28no—
1351C22×C4—28no—
1352C22×C4—28no—
1353C22×C4—24no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—28no—
1363C22×C4—24no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—24no—
1368C22×C4—24no—
1369C22×C4—22no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—28no—
1374C22×C4—42no—
1375C22×C4—42no—
1376C22×C4—41no—
1377C22×C4—42no—
1378C22×C4—42no—
1379C22×C4—44no—
1380C22×C4—42no—
1381C22×C4—42no—
1382C22×C4—44no—
1383C22×C4—44no—
1384C22×C4—44no—
1385C22×C4—42no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—41no—
1390C22×C4—41no—
1391C22×C4—42no—
1392C22×C4—42no—
1393C22×C4—44no—
1394C22×C4—44no—
1395C22×C4C22×D418yes—
1396C22×C4C22×D4116yes—
1397C22×C4C22×D418yes—
1398C22×C4C2×#4118yes—
1399C22×C4C2511yescharacteristic
1400C22×C4C2511yescharacteristic
1401C22×C4C2512yes—
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2514yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C22×C4C2511yescharacteristic
1408C22×C4C2514yes—
1409C22×C4C2512yes—
1410C22×C4C2512yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2512yes—
1413C22×C4C2514yes—
1414C22×C4C2512yes—
1415C22×C4C2511yescharacteristic
1416C22×C4C2512yes—
1417C22×C4C2512yes—
1418C22×C4C2512yes—
1419C22×C4C2512yes—
1420C22×C4C2514yes—
1421C22×C4C2511yescharacteristic
1422C22×C4C2512yes—
1423C22×C4C2511yescharacteristic
1424C22×C4C2511yescharacteristic
1425C22×C4C2512yes—
1426C22×C4C2512yes—
1427C22×C4C2511yescharacteristic
1428C22×C4C2511yescharacteristic
1429C22×C4C2511yescharacteristic
1430C4⋊C4—24no—
1431C4⋊C4—22no—
1432C4⋊C4—28no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—22no—
1436C4⋊C4—24no—
1437C4⋊C4—28no—
1438C4⋊C4—24no—
1439C4⋊C4—28no—
1440C4⋊C4—28no—
1441C4⋊C4—28no—
1442C4⋊C4—28no—
1443C4⋊C4—28no—
1444C4⋊C4—28no—
1445C4⋊C4—28no—
1446C4⋊C4—28no—
1447C4⋊C4—22no—
1448C4⋊C4—24no—
1449C4⋊C4—24no—
1450C4⋊C4—28no—
1451C4⋊C4—24no—
1452C4⋊C4—24no—
1453C4⋊C4—22no—
1454C4⋊C4—24no—
1455C4⋊C4—28no—
1456C4⋊C4—24no—
1457C4⋊C4—24no—
1458C4⋊C4—28no—
1459C4⋊C4—28no—
1460C4⋊C4—24no—
1461C4⋊C4—28no—
1462C4⋊C4—24no—
1463C4⋊C4—28no—
1464C4⋊C4—28no—
1465C4⋊C4—24no—
1466C4⋊C4—22no—
1467C4⋊C4—28no—
1468C4⋊C4—28no—
1469C4⋊C4—24no—
1470C4⋊C4—24no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—24no—
1474C4⋊C4—24no—
1475C4⋊C4—22no—
1476C4⋊C4—22no—
1477C4⋊C4—24no—
1478C4⋊C4—24no—
1479C4⋊C4—24no—
1480C4⋊C4—24no—
1481C4⋊C4—22no—
1482C4⋊C4—22no—
1483C4⋊C4—28no—
1484C4⋊C4—24no—
1485C4⋊C4—24no—
1486C4⋊C4—44no—
1487C4⋊C4—42no—
1488C4⋊C4—42no—
1489C4⋊C4—44no—
1490C4⋊C4—44no—
1491C4⋊C4—44no—
1492C4⋊C4—44no—
1493C4⋊C4—42no—
1494C4⋊C4—42no—
1495C4⋊C4—44no—
1496C4⋊C4—42no—
1497C4⋊C4—44no—
1498C4⋊C4—41no—
1499C4⋊C4—42no—
1500C4⋊C4—44no—
1501C4⋊C4—42no—
1502C4⋊C4—42no—
1503C4⋊C4—44no—
1504C4⋊C4—44no—
1505C4⋊C4C22×D414yes—
1506C4⋊C4C22×D418yes—
1507C4⋊C4C22×D4116yes—
1508C4⋊C4C22×D414yes—
1509C4⋊C4C22×D418yes—
1510C4⋊C4C2×#4114yes—
1511C22⋊C4—24no—
1512C22⋊C4—24no—
1513C22⋊C4—24no—
1514C22⋊C4—24no—
1515C22⋊C4—28no—
1516C22⋊C4—28no—
1517C22⋊C4—24no—
1518C22⋊C4—24no—
1519C22⋊C4—28no—
1520C22⋊C4—28no—
1521C22⋊C4—28no—
1522C22⋊C4—28no—
1523C22⋊C4—24no—
1524C22⋊C4—24no—
1525C22⋊C4—24no—
1526C22⋊C4—24no—
1527C22⋊C4—28no—
1528C22⋊C4—28no—
1529C22⋊C4—24no—
1530C22⋊C4—24no—
1531C22⋊C4—24no—
1532C22⋊C4—22no—
1533C22⋊C4—22no—
1534C22⋊C4—24no—
1535C22⋊C4—24no—
1536C22⋊C4—24no—
1537C22⋊C4—22no—
1538C22⋊C4—42no—
1539C22⋊C4—42no—
1540C22⋊C4—42no—
1541C22⋊C4—42no—
1542C22⋊C4—41no—
1543C22⋊C4—41no—
1544C22⋊C4—44no—
1545C22⋊C4—41no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—42no—
1549C22⋊C4—42no—
1550C22⋊C4—42no—
1551C22⋊C4C22×D418yes—
1552C22⋊C4C22×D4116yes—
1553C22⋊C4C22×D418yes—
1554C22⋊C4C2×#4118yes—
1555C42—24no—
1556C42—22no—
1557C42—22no—
1558C42—22no—
1559C42—24no—
1560C42—22no—
1561C42—24no—
1562C42—28no—
1563C42—24no—
1564C42—22no—
1565C42—24no—
1566C42—22no—
1567C42—28no—
1568C42—24no—
1569C42—24no—
1570C42—28no—
1571C42—24no—
1572C42—24no—
1573C42—28no—
1574C42—28no—
1575C42—24no—
1576C42—28no—
1577C42—28no—
1578C42—24no—
1579C42—22no—
1580C42—22no—
1581C42—22no—
1582C42—24no—
1583C42—42no—
1584C42—42no—
1585C42—41no—
1586C42—41no—
1587C42C22×D414yes—
1588C42C2×#4114yes—
1589C23—22no—
1590C23—22no—
1591C23—22no—
1592C23—22no—
1593C23—22no—
1594C23—22no—
1595C23—22no—
1596C23—22no—
1597C23—22no—
1598C23—22no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23C23×D414yes—
1614C23C23×D414yes—
1615C23C22×#4114yes—
1616C23C2×2−1+414yes—
1617C23C2611yescharacteristic
1618Q8—216no—
1619Q8—28no—
1620Q8—416no—
1621Q8—44no—
1622Q8—44no—
1623Q8—44no—
1624Q8—48no—
1625Q8—84no—
1626D4—232no—
1627D4—28no—
1628D4—48no—
1629D4—44no—
1630D4—48no—
1631D4—48no—
1632D4—84no—
1633D4#547116yes—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—24no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—24no—
1641C2×C4—22no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—232no—
1653C2×C4—216no—
1654C2×C4—216no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—24no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—24no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—24no—
1671C2×C4—22no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—24no—
1689C2×C4—21no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—24no—
1694C2×C4—24no—
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—24no—
1698C2×C4—22no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—24no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—21no—
1714C2×C4—24no—
1715C2×C4—48no—
1716C2×C4—44no—
1717C2×C4—48no—
1718C2×C4—48no—
1719C2×C4—416no—
1720C2×C4—48no—
1721C2×C4—48no—
1722C2×C4—48no—
1723C2×C4—44no—
1724C2×C4—44no—
1725C2×C4—44no—
1726C2×C4—44no—
1727C2×C4—82no—
1728C2×C4—88no—
1729C2×C4—84no—
1730C2×C4—88no—
1731C2×C4—88no—
1732C2×C4—88no—
1733C2×C4—84no—
1734C2×C4C23×D414yes—
1735C2×C4C23×D414yes—
1736C2×C4C23×D418yes—
1737C2×C4C23×D412yes—
1738C2×C4C23×D412yes—
1739C2×C4C23×D412yes—
1740C2×C4C22×#4112yes—
1741C2×C4C22×#4114yes—
1742C2×C4C22×#4112yes—
1743C2×C4C22×#4112yes—
1744C2×C4C2×2−1+414yes—
1745C2×C4C2×2−1+412yes—
1746C2×C4C2×2−1+412yes—
1747C2×C4#58512yes—
1748C2×C4#58512yes—
1749C22—24no—
1750C22—24no—
1751C22—24no—
1752C22—24no—
1753C22—24no—
1754C22—24no—
1755C22—24no—
1756C22—24no—
1757C22—24no—
1758C22—42no—
1759C22—42no—
1760C22—42no—
1761C22—42no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22C2×#54718yes—
1777C22C24×D411yescharacteristic
1778C22C23×#4111yescharacteristic
1779C22C22×2−1+411yescharacteristic
1780C22C22×2−1+411yescharacteristic
1781C22C2×#58511yescharacteristic
1782C22C2×#58511yescharacteristic
1783C222−1+611yescharacteristic
1784C4—22no—
1785C4—22no—
1786C4—22no—
1787C4—22no—
1788C4—24no—
1789C4—24no—
1790C4—24no—
1791C4—24no—
1792C4—28no—
1793C4—42no—
1794C4—42no—
1795C4—42no—
1796C4—41no—
1797C4—42no—
1798C4—42no—
1799C4—44no—
1800C4—41no—
1801C4—44no—
1802C4—42no—
1803C4—41no—
1804C4—41no—
1805C4—44no—
1806C4—42no—
1807C4—42no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—42no—
1812C4—42no—
1813C4C2×#54714yes—
1814C4#348914yes—
1815C2—28no—
1816C2—44no—
1817C2—81no—
1818C2—81no—
1819C2C22×#54711yescharacteristic
1820C2#6278111yescharacteristic
1821C2C2×#348911yescharacteristic
1822C2#6295011yescharacteristic
1823C2#6300111yescharacteristic
1824C2#6300211yescharacteristic
1825C2#6303211yescharacteristic
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×#3482C2semidirect
3. #59828C2semidirect
4. #59806C2semidirect
5. #59111C2semidirect
6. #59109C2semidirect
7. #59071C2semidirect
8. #59067C2semidirect
9. #59062C2semidirect
10. #59061C2semidirect
11. #45326C2semidirect
12. #45261C2semidirect
13. #44475C2semidirect
14. #44461C2semidirect
15. #39490C2semidirect
16. #39487C2semidirect
17. #38923C2semidirect
18. #38919C2semidirect
19. #37793C2semidirect
20. #37790C2semidirect
21. #36423C2semidirect
22. #36276C2semidirect
23. #36275C2semidirect
24. #36275C2semidirect
25. #36274C2semidirect
26. #36217C2semidirect
27. #36151C2semidirect
28. #36116C2semidirect
29. #36067C2semidirect
30. #36020C2semidirect
31. #34724C2semidirect
32. C2×#2453C2semidirect
33. #34308C2semidirect
34. #34250C2semidirect
35. C4×#547C2semidirect
323. #547D4semidirect
1014. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35152
C2×#34822
#598282
#598062
#591112
#591092
#590712
#590672
#590622
#590612
#453262
#452612
#444752
#444612
#394902
#394872
#389232
#389192
#377932
#377902
#364232
#362762
#362752
#362742
#362172
#361512
#361162
#360672
#360202
#347242
C2×#24532
#343082
#342502
C4×#5472