Finite Group Databasebeta

← #7656156

Subgroups — #7656156

Order 512.

6629 conjugacy classes of subgroups.

The subgroup lattice has 1864 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3507C211yesmaximal, characteristic, complemented
2C2×#3482C211yesmaximal, characteristic, complemented
3#42891C211yesmaximal, characteristic, complemented
4#42887C211yesmaximal, characteristic, complemented
5#42814C211yesmaximal, characteristic, complemented
6#42810C211yesmaximal, characteristic, complemented
7#42796C212yesmaximal, complemented
8#42786C212yesmaximal, complemented
9#42174C212yesmaximal, complemented
10#42171C212yesmaximal, complemented
11#41992C212yesmaximal, complemented
12#41987C212yesmaximal, complemented
13#41377C214yesmaximal, complemented
14#40497C214yesmaximal, complemented
15#39883C212yesmaximal, complemented
16#39878C212yesmaximal, complemented
17#38379C214yesmaximal, complemented
18#38375C214yesmaximal, complemented
19#37550C211yesmaximal, characteristic, complemented
20#37545C211yesmaximal, characteristic, complemented
21#37543C212yesmaximal, complemented
22#37541C212yesmaximal, complemented
23#36232C212yesmaximal, complemented
24#36228C212yesmaximal, complemented
25#36065C211yesmaximal, characteristic, complemented
26#36048C211yesmaximal, characteristic, complemented
27#35926C211yesmaximal, characteristic, complemented
28#35909C211yesmaximal, characteristic, complemented
29#35758C212yesmaximal, complemented
30#35682C212yesmaximal, complemented
31#35210C212yesmaximal, complemented
32#35200C211yesmaximal, characteristic, complemented
33#34636C212yesmaximal, complemented
34#34609C211yesmaximal, characteristic, complemented
35#34192C211yesmaximal, characteristic, complemented
36#3507—216no—
37#3482—216no—
38C2×#559C2212yes—
39C2×#557C2212yes—
40C2×#557C2211yescharacteristic
41C2×#556C2212yes—
42C2×#556C2211yescharacteristic
43C2×#556C2211yescharacteristic
44C2×#556C2214yes—
45C2×#556C2211yescharacteristic
46C2×#554C2211yescharacteristic
47C2×#554C2211yescharacteristic
48C2×#552C2212yes—
49C2×#552C2212yes—
50C2×#552C2212yes—
51C2×#552C2211yescharacteristic
52C2×#552C2212yes—
53C2×#552C2211yescharacteristic
54C2×D4×Q8C2211yescharacteristic
55C2×#548C2211yescharacteristic
56C2×#548C2211yescharacteristic
57C2×#547C2212yes—
58C2×#547C2211yescharacteristic
59C2×#539C2214yes—
60C2×#536C2212yes—
61C2×#533C2211yescharacteristic
62C2×#533C2211yescharacteristic
63C2×#533C2212yes—
64C2×#532C2211yescharacteristic
65C2×#529C2212yes—
66C2×#529C2212yes—
67C2×#529C2212yes—
68C2×#529C2211yescharacteristic
69C2×#529C2211yescharacteristic
70C2×#529C2212yes—
71C2×#520C2212yes—
72C2×C4×#41C2211yescharacteristic
73C2×C4×#41C2212yes—
74C2×C4×#41C2211yescharacteristic
75C22×C4×Q8C2211yescharacteristic
76C22×C4×Q8C2211yescharacteristic
77#2852C2214yes—
78#2852C2214yes—
79#2851C2212yes—
80#2851C2212yes—
81#2822C2212yes—
82#2821C2212yes—
83#2820C2212yes—
84#2820C2212yes—
85#2819C2212yes—
86#2818C2212yes—
87#2814C2214yes—
88#2814C2214yes—
89#2813C2214yes—
90#2734C2214yes—
91#2733C2214yes—
92#2731C2214yes—
93#2731C2214yes—
94#2730C2214yes—
95#2730C2214yes—
96#2729C2214yes—
97#2729C2214yes—
98#2726C2214yes—
99#2725C2214yes—
100#2723C2214yes—
101#2721C2214yes—
102#2716C2214yes—
103#2714C2214yes—
104#2707C2214yes—
105#2707C2214yes—
106#2705C2214yes—
107#2704C2214yes—
108#2692C2214yes—
109#2690C2214yes—
110#2682C2214yes—
111#2681C2214yes—
112#2677C2214yes—
113#2676C2214yes—
114#2664C2212yes—
115#2664C2212yes—
116#2663C2214yes—
117#2662C2212yes—
118#2662C2212yes—
119#2661C2214yes—
120#2661C2214yes—
121#2660C2211yescharacteristic
122#2660C2211yescharacteristic
123#2640C2211yescharacteristic
124#2640C2211yescharacteristic
125#2638C2212yes—
126#2638C2212yes—
127#2638C2212yes—
128#2638C2212yes—
129#2637C2212yes—
130#2637C2212yes—
131#2637C2214yes—
132#2636C2214yes—
133#2635C2211yescharacteristic
134#2635C2211yescharacteristic
135#2635C2211yescharacteristic
136#2635C2211yescharacteristic
137#2635C2212yes—
138#2635C2212yes—
139#2634C2212yes—
140#2634C2212yes—
141#2633C2212yes—
142#2633C2212yes—
143#2632C2212yes—
144#2632C2212yes—
145#2632C2212yes—
146#2631C2212yes—
147#2631C2212yes—
148#2631C2212yes—
149#2630C2214yes—
150#2630C2214yes—
151#2630C2214yes—
152#2630C2214yes—
153#2628C2211yescharacteristic
154#2628C2211yescharacteristic
155#2624C2212yes—
156#2619C2211yescharacteristic
157#2619C2211yescharacteristic
158#2616C2212yes—
159#2615C2212yes—
160#2615C2212yes—
161#2611C2212yes—
162#2611C2212yes—
163#2610C2212yes—
164#2610C2212yes—
165#2610C2214yes—
166#2609C2214yes—
167#2609C2214yes—
168#2604C2214yes—
169#2604C2212yes—
170#2604C2212yes—
171#2603C2212yes—
172#2603C2212yes—
173#2603C2214yes—
174#2602C2214yes—
175#2602C2214yes—
176#2602C2214yes—
177#2602C2214yes—
178#2601C2214yes—
179#2601C2214yes—
180#2599C2212yes—
181#2599C2212yes—
182#2599C2214yes—
183#2599C2214yes—
184#2598C2214yes—
185#2581C2212yes—
186#2580C2212yes—
187#2567C2211yescharacteristic
188#2566C2212yes—
189#2565C2212yes—
190#2563C2211yescharacteristic
191#2562C2211yescharacteristic
192#2562C2211yescharacteristic
193#2560C2214yes—
194#2560C2214yes—
195#2556C2214yes—
196#2554C2214yes—
197#2547C2211yescharacteristic
198#2546C2211yescharacteristic
199#2540C2211yescharacteristic
200#2540C2211yescharacteristic
201#2538C2212yes—
202#2538C2212yes—
203#2536C2212yes—
204#2536C2212yes—
205#2536C2212yes—
206#2536C2212yes—
207#2535C2212yes—
208#2535C2212yes—
209#2519C2214yes—
210#2512C2214yes—
211#2500C2212yes—
212#2499C2212yes—
213#2499C2212yes—
214#2485C2212yes—
215#2485C2212yes—
216#2485C2214yes—
217#2475C2214yes—
218#2473C2214yes—
219#2471C2214yes—
220#2469C2214yes—
221#2467C2214yes—
222#2465C2214yes—
223#2463C2214yes—
224#2462C2214yes—
225#2462C2214yes—
226#2461C2214yes—
227#2460C2214yes—
228#2460C2214yes—
229#2458C2214yes—
230#2458C2214yes—
231#2456C2214yes—
232#2456C2214yes—
233#2452C2214yes—
234#2443C2214yes—
235#2442C2212yes—
236#2441C2212yes—
237#2440C2212yes—
238#2439C2212yes—
239#2432C2212yes—
240#2429C2212yes—
241#2429C2212yes—
242#2426C2212yes—
243#2426C2212yes—
244#2423C2212yes—
245#2423C2212yes—
246#2421C2212yes—
247#2421C2212yes—
248#2417C2212yes—
249#2416C2212yes—
250#2415C2212yes—
251#2414C2212yes—
252#2409C2212yes—
253#2409C2212yes—
254#2407C2212yes—
255#2407C2212yes—
256#2407C2214yes—
257#2398C2211yescharacteristic
258#2398C2211yescharacteristic
259#2397C2211yescharacteristic
260#2397C2211yescharacteristic
261#2396C2212yes—
262#2396C2212yes—
263#2395C2214yes—
264#2392C2212yes—
265#2392C2212yes—
266#2388C2212yes—
267#2388C2212yes—
268#2388C2214yes—
269#2363C2212yes—
270#2362C2212yes—
271#2361C2212yes—
272#2360C2212yes—
273#2356C2212yes—
274#2356C2214yes—
275#2354C2212yes—
276#2352C2212yes—
277#2352C2212yes—
278#2351C2212yes—
279D4×C4⋊C4C2212yes—
280#2345C2214yes—
281#2345C2212yes—
282Q8×C22⋊C4C2212yes—
283#2327C2212yes—
284#2326C2212yes—
285#2324C2214yes—
286#2323C2214yes—
287#2320C2212yes—
288#2320C2212yes—
289#2320C2211yescharacteristic
290#2320C2211yescharacteristic
291C4×#121C2212yes—
292C4×#121C2212yes—
293#2290C2214yes—
294#2290C2214yes—
295#2283C2211yescharacteristic
296#2283C2212yes—
297#2283C2211yescharacteristic
298#2283C2212yes—
299#2276C2211yescharacteristic
300#2276C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2311yescharacteristic
305C23×Q8C2311yescharacteristic
306C23×Q8C2311yescharacteristic
307#559—216no—
308#557—28no—
309#557—216no—
310#556—28no—
311#556—216no—
312#556—28no—
313#556—28no—
314#556—232no—
315#554—28no—
316#554—28no—
317#552—28no—
318#552—216no—
319#552—216no—
320#552—216no—
321#552—28no—
322#552—216no—
323D4×Q8—28no—
324#548—28no—
325#548—28no—
326#547—28no—
327#547—216no—
328#539—232no—
329#536—216no—
330#533—28no—
331#533—216no—
332#533—28no—
333#532—28no—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2314yes—
342C2×C4⋊Q8C2312yes—
343C2×#127C2311yescharacteristic
344#529—28no—
345#529—216no—
346#529—216no—
347#529—28no—
348#529—216no—
349#529—216no—
350C2×#126C2312yes—
351C2×#126C2314yes—
352C2×#126C2312yes—
353C2×#126C2314yes—
354C2×#126C2314yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2314yes—
360C2×#125C2311yescharacteristic
361C2×#125C2312yes—
362C2×#125C2312yes—
363C2×#125C2312yes—
364C2×#125C2312yes—
365C2×#125C2312yes—
366C2×#125C2311yescharacteristic
367C2×#125C2312yes—
368C2×#125C2312yes—
369C2×#125C2312yes—
370C2×#125C2314yes—
371C2×#125C2314yes—
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2312yes—
376C2×#124C2311yescharacteristic
377C2×#124C2311yescharacteristic
378C2×#124C2312yes—
379C2×#124C2314yes—
380C2×#124C2312yes—
381C2×#123C2312yes—
382C2×#123C2312yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2311yescharacteristic
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2311yescharacteristic
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×#121C2311yescharacteristic
414C2×#121C2312yes—
415C2×#121C2311yescharacteristic
416C2×#121C2311yescharacteristic
417C2×#121C2312yes—
418C2×#121C2311yescharacteristic
419C2×#121C2312yes—
420C2×#121C2314yes—
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#121C2312yes—
425#520—216no—
426C4×#41—28no—
427C4×#41—216no—
428C4×#41—28no—
429C2×C4×Q8—28no—
430C2×C4×Q8D4116yescomplemented
431C2×C4×Q8C2311yescharacteristic
432C2×C4×Q8C2311yescharacteristic
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2311yescharacteristic
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2311yescharacteristic
445C2×C4×Q8C2314yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2311yescharacteristic
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2314yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2314yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2312yes—
475C2×C4×D4C2314yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2314yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2314yes—
483C2×#117C2314yes—
484C2×#117C2314yes—
485C2×#117C2312yes—
486C2×#117C2311yescharacteristic
487C2×#117C2311yescharacteristic
488C2×#117C2312yes—
489C2×#117C2312yes—
490C2×#117C2311yescharacteristic
491C2×#117C2312yes—
492C2×#117C2312yes—
493C2×#117C2312yes—
494C2×#117C2311yescharacteristic
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2312yes—
498C2×#117C2312yes—
499C22×C4⋊C4C2311yescharacteristic
500C22×C4⋊C4C2312yes—
501C22×C4⋊C4C2312yes—
502C22×C4⋊C4C2312yes—
503C22×C4⋊C4C2311yescharacteristic
504C22×C4⋊C4C2312yes—
505C22×C42C2311yescharacteristic
506C22×C42C2311yescharacteristic
507C22×C42C2312yes—
508C22×C42C2312yes—
509C22×C42C2312yes—
510C22×C42C2311yescharacteristic
511#400C2312yes—
512#400C2312yes—
513#400C2311yescharacteristic
514#400C2314yes—
515#400C2311yescharacteristic
516#400C2314yes—
517#400C2311yescharacteristic
518#400C2311yescharacteristic
519#400C2314yes—
520#399C2311yescharacteristic
521#399C2312yes—
522#399C2314yes—
523#399C2312yes—
524#399C2311yescharacteristic
525#399C2314yes—
526#399C2312yes—
527#399C2312yes—
528#399C2311yescharacteristic
529#399C2311yescharacteristic
530#399C2314yes—
531#398C2314yes—
532#398C2314yes—
533#398C2314yes—
534#398C2314yes—
535#398C2314yes—
536#398C2312yes—
537#398C2314yes—
538#398C2314yes—
539#398C2314yes—
540#398C2312yes—
541#398C2312yes—
542#398C2314yes—
543#398C2314yes—
544#398C2314yes—
545#398C2314yes—
546#398C2312yes—
547#398C2314yes—
548#397C2312yes—
549#397C2314yes—
550#397C2312yes—
551#397C2314yes—
552#397C2312yes—
553#397C2314yes—
554#397C2312yes—
555#397C2314yes—
556#397C2314yes—
557#397C2314yes—
558#397C2314yes—
559#397C2314yes—
560#397C2312yes—
561#397C2312yes—
562#397C2314yes—
563#396C2314yes—
564#396C2314yes—
565#396C2314yes—
566#396C2314yes—
567#396C2314yes—
568#396C2314yes—
569#396C2314yes—
570#396C2314yes—
571#396C2314yes—
572#396C2314yes—
573#396C2314yes—
574#396C2314yes—
575#396C2314yes—
576#396C2314yes—
577#395C2312yes—
578#395C2312yes—
579#395C2314yes—
580#395C2314yes—
581#395C2312yes—
582#395C2314yes—
583#395C2314yes—
584#395C2312yes—
585#395C2312yes—
586#395C2312yes—
587#395C2314yes—
588#394C2314yes—
589#394C2314yes—
590#394C2312yes—
591#394C2312yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2311yescharacteristic
597#394C2314yes—
598#394C2314yes—
599#394C2312yes—
600#394C2312yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2311yescharacteristic
608#394C2314yes—
609#394C2311yescharacteristic
610#394C2312yes—
611#394C2312yes—
612#394C2311yescharacteristic
613#394C2312yes—
614#394C2312yes—
615#394C2314yes—
616#394C2314yes—
617#393C2312yes—
618#393C2314yes—
619#393C2312yes—
620#393C2312yes—
621#393C2312yes—
622#393C2314yes—
623#393C2314yes—
624#393C2314yes—
625#393C2312yes—
626#393C2312yes—
627#393C2312yes—
628#393C2312yes—
629#393C2314yes—
630#392C2312yes—
631#392C2314yes—
632#392C2312yes—
633#392C2314yes—
634#392C2311yescharacteristic
635#392C2314yes—
636#392C2312yes—
637#392C2312yes—
638#392C2314yes—
639#392C2314yes—
640#392C2311yescharacteristic
641#392C2312yes—
642#392C2314yes—
643#392C2312yes—
644#392C2312yes—
645#392C2312yes—
646#392C2311yescharacteristic
647#392C2311yescharacteristic
648#392C2312yes—
649#392C2312yes—
650#392C2314yes—
651#391C2312yes—
652#391C2312yes—
653#391C2312yes—
654#391C2312yes—
655#391C2312yes—
656#391C2312yes—
657#391C2314yes—
658#391C2314yes—
659#391C2314yes—
660#391C2312yes—
661#390C2314yes—
662#390C2314yes—
663#390C2312yes—
664#390C2312yes—
665#390C2312yes—
666#390C2314yes—
667#390C2314yes—
668#390C2314yes—
669#390C2314yes—
670#390C2314yes—
671#390C2314yes—
672#390C2314yes—
673#390C2312yes—
674#390C2312yes—
675#389C2312yes—
676#389C2312yes—
677#389C2312yes—
678#389C2312yes—
679#389C2314yes—
680#389C2314yes—
681#389C2314yes—
682#389C2314yes—
683#389C2314yes—
684#389C2314yes—
685#389C2312yes—
686#389C2312yes—
687#389C2314yes—
688#389C2314yes—
689#389C2314yes—
690#389C2314yes—
691#389C2312yes—
692#389C2312yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2312yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2312yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2312yes—
724#388C2314yes—
725#388C2314yes—
726#388C2312yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#387C2314yes—
740#387C2314yes—
741#387C2314yes—
742#387C2314yes—
743#387C2314yes—
744#387C2314yes—
745#387C2314yes—
746#387C2314yes—
747#387C2314yes—
748#387C2314yes—
749#387C2314yes—
750#387C2314yes—
751#387C2314yes—
752#387C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2312yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2312yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2312yes—
766#386C2314yes—
767#386C2314yes—
768#386C2312yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#384C2312yes—
786#384C2312yes—
787#384C2312yes—
788#383C2312yes—
789#383C2312yes—
790#383C2312yes—
791#383C2314yes—
792#383C2312yes—
793#382C2312yes—
794#382C2312yes—
795#382C2312yes—
796#382C2312yes—
797#382C2312yes—
798#382C2311yescharacteristic
799#382C2311yescharacteristic
800#382C2312yes—
801#382C2314yes—
802#381C2311yescharacteristic
803#381C2311yescharacteristic
804#381C2312yes—
805#380C2312yes—
806#380C2312yes—
807#380C2312yes—
808#380C2312yes—
809#380C2312yes—
810#380C2312yes—
811#380C2314yes—
812#380C2314yes—
813#380C2312yes—
814#380C2312yes—
815#380C2312yes—
816#380C2314yes—
817#380C2312yes—
818#380C2314yes—
819#380C2312yes—
820#380C2312yes—
821C4×C4⋊C4C2314yes—
822C4×C4⋊C4C2314yes—
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2314yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2314yes—
832C4×C4⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845#376C2312yes—
846#376C2312yes—
847#376C2311yescharacteristic
848#376C2311yescharacteristic
849#376C2312yes—
850#376C2314yes—
851C2×#41—24no—
852C2×#41—28no—
853C2×#41—24no—
854C2×#41—28no—
855C2×#41—44no—
856C2×#41—44no—
857C2×#41—44no—
858C2×#41—42no—
859C2×#41—44no—
860C2×#41—44no—
861C2×#41—42no—
862C22×Q8—24no—
863C22×Q8—44no—
864C22×Q8—44no—
865C22×Q8C2×D418yes—
866C22×Q8C2411yescharacteristic
867C22×Q8C2412yes—
868C22×Q8C2411yescharacteristic
869C22×Q8C2411yescharacteristic
870C22×Q8C2411yescharacteristic
871C22×Q8C2412yes—
872C22×Q8C2412yes—
873C22×Q8C2412yes—
874C22×Q8C2412yes—
875C22×Q8C2412yes—
876C22×D4C2411yescharacteristic
877C22×D4C2411yescharacteristic
878C22×D4C2412yes—
879C22×D4C2411yescharacteristic
880C22×D4C2411yescharacteristic
881C22×D4C2411yescharacteristic
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2411yescharacteristic
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2414yes—
894C22×D4C2414yes—
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2411yescharacteristic
898C23×C4C2411yescharacteristic
899C23×C4C2412yes—
900C23×C4C2411yescharacteristic
901C23×C4C2412yes—
902C23×C4C2411yescharacteristic
903C23×C4C2411yescharacteristic
904C23×C4C2414yes—
905C23×C4C2414yes—
906C23×C4C2412yes—
907C23×C4C2412yes—
908C23×C4C2411yescharacteristic
909C23×C4C2412yes—
910C23×C4C2411yescharacteristic
911C23×C4C2412yes—
912C23×C4C2411yescharacteristic
913C23×C4C2412yes—
914C23×C4C2411yescharacteristic
915C4⋊Q8—24no—
916C4⋊Q8—28no—
917C4⋊Q8—216no—
918C4⋊Q8—24no—
919C4⋊Q8—28no—
920C4⋊Q8—24no—
921C4⋊Q8—24no—
922C4⋊Q8—24no—
923C4⋊Q8—44no—
924#127—24no—
925#126—28no—
926#126—28no—
927#126—28no—
928#126—216no—
929#126—216no—
930#126—216no—
931#126—216no—
932#126—28no—
933#126—28no—
934#126—28no—
935#125—24no—
936#125—28no—
937#125—28no—
938#125—28no—
939#125—28no—
940#125—216no—
941#125—216no—
942#125—24no—
943#125—28no—
944#125—28no—
945#125—28no—
946#125—28no—
947#124—24no—
948#124—28no—
949#124—216no—
950#124—24no—
951#124—28no—
952#124—28no—
953#124—28no—
954#124—28no—
955#124—44no—
956#123—216no—
957#123—216no—
958#123—28no—
959#123—28no—
960#123—28no—
961#123—28no—
962#123—28no—
963#123—28no—
964#123—216no—
965#123—216no—
966C22⋊Q8—24no—
967C22⋊Q8—28no—
968C22⋊Q8—24no—
969C22⋊Q8—28no—
970C22⋊Q8—28no—
971C22⋊Q8—28no—
972C22⋊Q8—28no—
973C22⋊Q8—28no—
974C22⋊Q8—28no—
975C22⋊Q8—24no—
976C22⋊Q8—28no—
977C22⋊Q8—28no—
978C22⋊Q8—28no—
979C22⋊Q8—28no—
980C22⋊Q8—28no—
981C22⋊Q8—24no—
982C22⋊Q8—28no—
983C22⋊Q8—216no—
984C22⋊Q8—216no—
985C22⋊Q8—48no—
986C22⋊Q8—44no—
987C22⋊Q8—44no—
988#121—24no—
989#121—24no—
990#121—24no—
991#121—28no—
992#121—28no—
993#121—24no—
994#121—28no—
995#121—44no—
996#121—48no—
997#121—44no—
998#121—44no—
999#121—44no—
1000C4×Q8—24no—
1001C4×Q8—24no—
1002C4×Q8—24no—
1003C4×Q8—28no—
1004C4×Q8—216no—
1005C4×Q8—28no—
1006C4×Q8—24no—
1007C4×Q8—28no—
1008C4×Q8—24no—
1009C4×Q8—24no—
1010C4×Q8—28no—
1011C4×Q8—28no—
1012C4×Q8—28no—
1013C4×Q8—28no—
1014C4×Q8—28no—
1015C4×Q8—44no—
1016C4×Q8—44no—
1017C4×Q8C2×D418yes—
1018C4×Q8C2×D418yes—
1019C4×Q8C2×D4116yes—
1020C4×Q8C2×D418yes—
1021C4×Q8C2×D418yes—
1022C4×Q8C2×D4116yes—
1023C4×D4—24no—
1024C4×D4—24no—
1025C4×D4—28no—
1026C4×D4—24no—
1027C4×D4—28no—
1028C4×D4—24no—
1029C4×D4—28no—
1030C4×D4—216no—
1031C4×D4—216no—
1032C4×D4—24no—
1033C4×D4—28no—
1034C4×D4—216no—
1035C4×D4—28no—
1036C4×D4—24no—
1037C4×D4—28no—
1038C4×D4—24no—
1039C4×D4—24no—
1040C4×D4—28no—
1041C4×D4—28no—
1042C4×D4—28no—
1043C4×D4—28no—
1044C4×D4—24no—
1045C4×D4—24no—
1046C4×D4—44no—
1047C4×D4—44no—
1048C4×D4—44no—
1049C4×D4—44no—
1050C4×D4—48no—
1051C4×D4—48no—
1052#117—28no—
1053#117—24no—
1054#117—28no—
1055#117—24no—
1056#117—28no—
1057#117—28no—
1058#117—28no—
1059#117—28no—
1060#117—24no—
1061#117—28no—
1062#117—24no—
1063#117—28no—
1064#117—28no—
1065#117—28no—
1066#117—216no—
1067#117—216no—
1068C2×C4⋊C4—24no—
1069C2×C4⋊C4—28no—
1070C2×C4⋊C4—28no—
1071C2×C4⋊C4—28no—
1072C2×C4⋊C4C2×D418yes—
1073C2×C4⋊C4C2×D4116yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C22⋊C4C2411yescharacteristic
1143C2×C22⋊C4C2411yescharacteristic
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2411yescharacteristic
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2411yescharacteristic
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2411yescharacteristic
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2411yescharacteristic
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⋊C4C2414yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C42—28no—
1208C2×C42—24no—
1209C2×C42—28no—
1210C2×C42—24no—
1211C2×C42C2×D4116yes—
1212C2×C42C2×D418yes—
1213C2×C42C2412yes—
1214C2×C42C2411yescharacteristic
1215C2×C42C2412yes—
1216C2×C42C2411yescharacteristic
1217C2×C42C2414yes—
1218C2×C42C2414yes—
1219C2×C42C2412yes—
1220C2×C42C2411yescharacteristic
1221C2×C42C2414yes—
1222C2×C42C2411yescharacteristic
1223C2×C42C2412yes—
1224C2×C42C2412yes—
1225C2×C42C2412yes—
1226C2×C42C2411yescharacteristic
1227C2×C42C2412yes—
1228C2×C42C2411yescharacteristic
1229C2×C42C2414yes—
1230C2×C42C2414yes—
1231C2×C42C2414yes—
1232C2×C42C2414yes—
1233C2×C42C2412yes—
1234C2×C42C2412yes—
1235C2×C42C2412yes—
1236C2×C42C2411yescharacteristic
1237C2×C42C2412yes—
1238C2×C42C2412yes—
1239C2×C42C2411yescharacteristic
1240C2×C42C2411yescharacteristic
1241C2×C42C2411yescharacteristic
1242C2×C42C2412yes—
1243#95C2411yescharacteristic
1244#95C2411yescharacteristic
1245#95C2414yes—
1246#95C2412yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2411yescharacteristic
1253#95C2412yes—
1254#95C2411yescharacteristic
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2414yes—
1261#95C2412yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294C24C2512yes—
1295C24C2512yes—
1296C24C2511yescharacteristic
1297C24C2512yes—
1298C24C2511yescharacteristic
1299C24C2511yescharacteristic
1300#41—432no—
1301#41—432no—
1302#41—416no—
1303#41—416no—
1304C2×Q8—24no—
1305C2×Q8—24no—
1306C2×Q8—22no—
1307C2×Q8—24no—
1308C2×Q8—22no—
1309C2×Q8—24no—
1310C2×Q8—24no—
1311C2×Q8—24no—
1312C2×Q8—24no—
1313C2×Q8—24no—
1314C2×Q8—24no—
1315C2×Q8—22no—
1316C2×Q8—44no—
1317C2×Q8—44no—
1318C2×Q8—44no—
1319C2×Q8—41no—
1320C2×Q8—42no—
1321C2×Q8—42no—
1322C2×Q8—42no—
1323C2×Q8—42no—
1324C2×Q8—42no—
1325C2×Q8—416no—
1326C2×Q8—416no—
1327C2×Q8C22×D414yes—
1328C2×Q8C22×D414yes—
1329C2×Q8C22×D418yes—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—24no—
1334C2×D4—24no—
1335C2×D4—24no—
1336C2×D4—24no—
1337C2×D4—24no—
1338C2×D4—22no—
1339C2×D4—24no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—24no—
1343C2×D4—22no—
1344C2×D4—24no—
1345C2×D4—22no—
1346C2×D4—24no—
1347C2×D4—24no—
1348C2×D4—22no—
1349C2×D4—24no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4—42no—
1353C2×D4—42no—
1354C2×D4—41no—
1355C2×D4—42no—
1356C2×D4—42no—
1357C2×D4—42no—
1358C2×D4—44no—
1359C2×D4—41no—
1360C2×D4—42no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—41no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—44no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—44no—
1375C2×D4—42no—
1376C2×D4—44no—
1377C2×D4—42no—
1378C2×D4—42no—
1379C2×D4—42no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C22×C4—24no—
1384C22×C4—24no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—24no—
1388C22×C4—22no—
1389C22×C4—24no—
1390C22×C4—22no—
1391C22×C4—24no—
1392C22×C4—22no—
1393C22×C4—24no—
1394C22×C4—22no—
1395C22×C4—24no—
1396C22×C4—22no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—24no—
1401C22×C4—24no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—24no—
1406C22×C4—22no—
1407C22×C4—28no—
1408C22×C4—28no—
1409C22×C4—42no—
1410C22×C4—42no—
1411C22×C4—44no—
1412C22×C4—42no—
1413C22×C4—44no—
1414C22×C4—44no—
1415C22×C4—42no—
1416C22×C4—42no—
1417C22×C4—42no—
1418C22×C4—42no—
1419C22×C4—41no—
1420C22×C4—41no—
1421C22×C4—41no—
1422C22×C4—41no—
1423C22×C4—44no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4—44no—
1428C22×C4C22×D414yes—
1429C22×C4C22×D414yes—
1430C22×C4C22×D418yes—
1431C22×C4C22×D414yes—
1432C22×C4C22×D418yes—
1433C22×C4C2512yes—
1434C22×C4C2512yes—
1435C22×C4C2512yes—
1436C22×C4C2512yes—
1437C22×C4C2514yes—
1438C22×C4C2514yes—
1439C22×C4C2511yescharacteristic
1440C22×C4C2511yescharacteristic
1441C22×C4C2514yes—
1442C22×C4C2512yes—
1443C22×C4C2511yescharacteristic
1444C22×C4C2511yescharacteristic
1445C22×C4C2512yes—
1446C22×C4C2511yescharacteristic
1447C22×C4C2512yes—
1448C22×C4C2512yes—
1449C22×C4C2512yes—
1450C22×C4C2514yes—
1451C22×C4C2511yescharacteristic
1452C22×C4C2511yescharacteristic
1453C22×C4C2511yescharacteristic
1454C22×C4C2512yes—
1455C22×C4C2512yes—
1456C22×C4C2511yescharacteristic
1457C22×C4C2512yes—
1458C22×C4C2511yescharacteristic
1459C22×C4C2512yes—
1460C22×C4C2511yescharacteristic
1461C22×C4C2511yescharacteristic
1462C4⋊C4—24no—
1463C4⋊C4—28no—
1464C4⋊C4—28no—
1465C4⋊C4—24no—
1466C4⋊C4—22no—
1467C4⋊C4—24no—
1468C4⋊C4—24no—
1469C4⋊C4—24no—
1470C4⋊C4—22no—
1471C4⋊C4—24no—
1472C4⋊C4—28no—
1473C4⋊C4—24no—
1474C4⋊C4—22no—
1475C4⋊C4—22no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—22no—
1479C4⋊C4—22no—
1480C4⋊C4—24no—
1481C4⋊C4—24no—
1482C4⋊C4—22no—
1483C4⋊C4—22no—
1484C4⋊C4—24no—
1485C4⋊C4—28no—
1486C4⋊C4—28no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—24no—
1490C4⋊C4—24no—
1491C4⋊C4—24no—
1492C4⋊C4—24no—
1493C4⋊C4—24no—
1494C4⋊C4—22no—
1495C4⋊C4—22no—
1496C4⋊C4—24no—
1497C4⋊C4—28no—
1498C4⋊C4—28no—
1499C4⋊C4—28no—
1500C4⋊C4—24no—
1501C4⋊C4—28no—
1502C4⋊C4—24no—
1503C4⋊C4—24no—
1504C4⋊C4—44no—
1505C4⋊C4—44no—
1506C4⋊C4—44no—
1507C4⋊C4—44no—
1508C4⋊C4—42no—
1509C4⋊C4—42no—
1510C4⋊C4—42no—
1511C4⋊C4—42no—
1512C4⋊C4—44no—
1513C4⋊C4—44no—
1514C4⋊C4—44no—
1515C4⋊C4—42no—
1516C4⋊C4—42no—
1517C4⋊C4—44no—
1518C4⋊C4—44no—
1519C4⋊C4—44no—
1520C4⋊C4—44no—
1521C4⋊C4—44no—
1522C4⋊C4—44no—
1523C4⋊C4C22×D414yes—
1524C4⋊C4C22×D414yes—
1525C4⋊C4C22×D418yes—
1526C4⋊C4C22×D418yes—
1527C4⋊C4C22×D418yes—
1528C4⋊C4C22×D418yes—
1529C4⋊C4C22×D418yes—
1530C22⋊C4—22no—
1531C22⋊C4—28no—
1532C22⋊C4—22no—
1533C22⋊C4—24no—
1534C22⋊C4—28no—
1535C22⋊C4—22no—
1536C22⋊C4—24no—
1537C22⋊C4—24no—
1538C22⋊C4—22no—
1539C22⋊C4—24no—
1540C22⋊C4—24no—
1541C22⋊C4—24no—
1542C22⋊C4—24no—
1543C22⋊C4—28no—
1544C22⋊C4—28no—
1545C22⋊C4—22no—
1546C22⋊C4—24no—
1547C22⋊C4—22no—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—24no—
1551C22⋊C4—24no—
1552C22⋊C4—24no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—28no—
1556C22⋊C4—28no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—28no—
1560C22⋊C4—28no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4—44no—
1566C22⋊C4—42no—
1567C22⋊C4—42no—
1568C22⋊C4—44no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—42no—
1574C22⋊C4—44no—
1575C22⋊C4—42no—
1576C22⋊C4—42no—
1577C22⋊C4—42no—
1578C22⋊C4—42no—
1579C22⋊C4—42no—
1580C22⋊C4—42no—
1581C22⋊C4—42no—
1582C22⋊C4—42no—
1583C22⋊C4—42no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—42no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—42no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C42—22no—
1596C42—24no—
1597C42—22no—
1598C42—24no—
1599C42—22no—
1600C42—24no—
1601C42—22no—
1602C42—24no—
1603C42—22no—
1604C42—24no—
1605C42—22no—
1606C42—28no—
1607C42—28no—
1608C42—28no—
1609C42—24no—
1610C42—24no—
1611C42—44no—
1612C42—44no—
1613C42—44no—
1614C42—44no—
1615C42—42no—
1616C42—42no—
1617C42C22×D418yes—
1618C42C22×D414yes—
1619C42C22×D418yes—
1620C42C22×D414yes—
1621C42C22×D418yes—
1622C42C22×D414yes—
1623C42C22×D414yes—
1624C42C22×D418yes—
1625C23—21no—
1626C23—22no—
1627C23—22no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—22no—
1632C23—22no—
1633C23—21no—
1634C23—22no—
1635C23—22no—
1636C23—22no—
1637C23—22no—
1638C23—22no—
1639C23—21no—
1640C23—22no—
1641C23—22no—
1642C23—22no—
1643C23—22no—
1644C23—22no—
1645C23—22no—
1646C23—24no—
1647C23—22no—
1648C23—22no—
1649C23—22no—
1650C23—21no—
1651C23—22no—
1652C23—24no—
1653C23—22no—
1654C23—22no—
1655C23—22no—
1656C23—22no—
1657C23C23×D412yes—
1658C23#58512yes—
1659C23C2611yescharacteristic
1660Q8—28no—
1661Q8—28no—
1662Q8—48no—
1663Q8—48no—
1664Q8—44no—
1665Q8—48no—
1666Q8—48no—
1667Q8—48no—
1668Q8—44no—
1669Q8—84no—
1670D4—28no—
1671D4—48no—
1672D4—44no—
1673D4—44no—
1674D4—44no—
1675D4—48no—
1676D4—48no—
1677D4—48no—
1678D4—44no—
1679D4—48no—
1680D4—48no—
1681D4—48no—
1682D4—44no—
1683D4—84no—
1684D4—84no—
1685D4—84no—
1686D4—84no—
1687D4—88no—
1688D4—164no—
1689C2×C4—21no—
1690C2×C4—24no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—21no—
1701C2×C4—24no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—28no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—24no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—22no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—24no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—24no—
1722C2×C4—22no—
1723C2×C4—24no—
1724C2×C4—22no—
1725C2×C4—24no—
1726C2×C4—24no—
1727C2×C4—24no—
1728C2×C4—22no—
1729C2×C4—21no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—24no—
1738C2×C4—24no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—21no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—24no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—24no—
1748C2×C4—22no—
1749C2×C4—24no—
1750C2×C4—22no—
1751C2×C4—24no—
1752C2×C4—24no—
1753C2×C4—44no—
1754C2×C4—48no—
1755C2×C4—48no—
1756C2×C4—44no—
1757C2×C4—48no—
1758C2×C4—44no—
1759C2×C4—48no—
1760C2×C4—44no—
1761C2×C4—44no—
1762C2×C4—48no—
1763C2×C4—44no—
1764C2×C4—48no—
1765C2×C4—48no—
1766C2×C4—44no—
1767C2×C4—44no—
1768C2×C4—48no—
1769C2×C4—48no—
1770C2×C4—88no—
1771C2×C4—88no—
1772C2×C4C23×D412yes—
1773C2×C4C23×D414yes—
1774C2×C4C23×D412yes—
1775C2×C4C23×D414yes—
1776C2×C4C23×D414yes—
1777C2×C4C23×D412yes—
1778C2×C4C23×D412yes—
1779C2×C4C23×D414yes—
1780C2×C4C23×D412yes—
1781C2×C4C23×D412yes—
1782C2×C4#58512yes—
1783C2×C4#58514yes—
1784C22—22no—
1785C22—22no—
1786C22—22no—
1787C22—24no—
1788C22—22no—
1789C22—41no—
1790C22—42no—
1791C22—42no—
1792C22—42no—
1793C22—41no—
1794C22—41no—
1795C22—42no—
1796C22—42no—
1797C22—42no—
1798C22—42no—
1799C22—41no—
1800C22—42no—
1801C22—42no—
1802C22—42no—
1803C22—42no—
1804C22—44no—
1805C22—42no—
1806C22—42no—
1807C22—42no—
1808C22—42no—
1809C22—42no—
1810C22—42no—
1811C22—42no—
1812C22—44no—
1813C22—42no—
1814C22—42no—
1815C22—41no—
1816C22—42no—
1817C22—42no—
1818C22C24×D411yescharacteristic
1819C22C2×#58511yescharacteristic
1820C22C2×#58511yescharacteristic
1821C22C2×#58512yes—
1822C222−1+612yes—
1823C4—24no—
1824C4—22no—
1825C4—22no—
1826C4—24no—
1827C4—22no—
1828C4—22no—
1829C4—22no—
1830C4—22no—
1831C4—24no—
1832C4—24no—
1833C4—41no—
1834C4—42no—
1835C4—44no—
1836C4—41no—
1837C4—42no—
1838C4—41no—
1839C4—44no—
1840C4—42no—
1841C4—42no—
1842C4—44no—
1843C4—42no—
1844C4—42no—
1845C4—44no—
1846C4—41no—
1847C4—42no—
1848C4—42no—
1849C4—41no—
1850C4—42no—
1851C4#344914yes—
1852C2—42no—
1853C2—42no—
1854C2—82no—
1855C2—81no—
1856C2—82no—
1857C2—82no—
1858C2C2×#344911yescharacteristic
1859C2#6281111yescharacteristic
1860C2#6284811yescharacteristic
1861C2#6293412yes—
1862C2#6293612yes—
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×#3507C2semidirect
2. C2×#3482C2semidirect
3. #42891C2semidirect
4. #42887C2semidirect
5. #42814C2semidirect
6. #42810C2semidirect
7. #42796C2semidirect
8. #42786C2semidirect
9. #42174C2semidirect
10. #42171C2semidirect
11. #41992C2semidirect
12. #41987C2semidirect
13. #41377C2semidirect
14. #40497C2semidirect
15. #39883C2semidirect
16. #39878C2semidirect
17. #38379C2semidirect
18. #38375C2semidirect
19. #37550C2semidirect
20. #37545C2semidirect
21. #37543C2semidirect
22. #37541C2semidirect
23. #36232C2semidirect
24. #36228C2semidirect
25. #36065C2semidirect
26. #36048C2semidirect
27. #35926C2semidirect
28. #35909C2semidirect
29. #35758C2semidirect
30. #35682C2semidirect
31. #35210C2semidirect
32. #35200C2semidirect
33. #34636C2semidirect
34. #34609C2semidirect
35. #34192C2semidirect
430. C2×C4×Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35072
C2×#34822
#428912
#428872
#428142
#428102
#427962
#427862
#421742
#421712
#419922
#419872
#413772
#404972
#398832
#398782
#383792
#383752
#375502
#375452
#375432
#375412
#362322
#362282
#360652
#360482
#359262
#359092
#357582
#356822
#352102
#352002
#346362
#346092
#341922