Finite Group Databasebeta

← #7690784

Subgroups — #7690784

Order 512.

7050 conjugacy classes of subgroups.

The subgroup lattice has 1884 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3515C211yesmaximal, characteristic, complemented
2C2×#3507C211yesmaximal, characteristic, complemented
3#59838C214yesmaximal, complemented
4#59657C212yesmaximal, complemented
5#59418C211yesmaximal, characteristic, complemented
6#59410C212yesmaximal, complemented
7#59155C212yesmaximal, complemented
8#59067C211yesmaximal, characteristic, complemented
9#59053C212yesmaximal, complemented
10#59051C211yesmaximal, characteristic, complemented
11#45242C212yesmaximal, complemented
12#45241C212yesmaximal, complemented
13#44382C214yesmaximal, complemented
14#44290C214yesmaximal, complemented
15#39883C212yesmaximal, complemented
16#39882C212yesmaximal, complemented
17#39598C211yesmaximal, characteristic, complemented
18#39445C214yesmaximal, complemented
19#39417C212yesmaximal, complemented
20#39137C211yesmaximal, characteristic, complemented
21#36544C211yesmaximal, characteristic, complemented
22#36496C211yesmaximal, characteristic, complemented
23#36496C211yesmaximal, characteristic, complemented
24#36493C211yesmaximal, characteristic, complemented
25#36268C212yesmaximal, complemented
26#36268C212yesmaximal, complemented
27#36150C211yesmaximal, characteristic, complemented
28#36112C212yesmaximal, complemented
29#35787C212yesmaximal, complemented
30#35772C212yesmaximal, complemented
31#34934C212yesmaximal, complemented
32#34919C211yesmaximal, characteristic, complemented
33#34313C212yesmaximal, complemented
34C4×#557C211yesmaximal, characteristic, complemented
35C4×#548C211yesmaximal, characteristic, complemented
36#3515—216no—
37#3507—216no—
38C2×#559C2211yescharacteristic
39C2×#559C2211yescharacteristic
40C2×#557C2211yescharacteristic
41C2×#557C2211yescharacteristic
42C2×#556C2212yes—
43C2×#556C2212yes—
44C2×#556C2212yes—
45C2×#554C2212yes—
46C2×#554C2211yescharacteristic
47C2×#554C2211yescharacteristic
48C2×#553C2212yes—
49C2×#552C2214yes—
50C2×#552C2214yes—
51C2×#552C2212yes—
52C2×#552C2212yes—
53C2×#550C2212yes—
54C2×#548C2211yescharacteristic
55C2×#547C2212yes—
56C2×#547C2211yescharacteristic
57C2×#541C2212yes—
58C2×#539C2214yes—
59C2×#539C2214yes—
60C2×#536C2212yes—
61C2×#533C2211yescharacteristic
62C2×#533C2211yescharacteristic
63C2×#532C2211yescharacteristic
64C2×#529C2212yes—
65C2×#529C2212yes—
66C2×#529C2211yescharacteristic
67C2×#529C2212yes—
68C22×#125C2212yes—
69C2×#520C2212yes—
70C2×#520C2212yes—
71C2×C4×#41C2211yescharacteristic
72C22×C4×Q8C2211yescharacteristic
73#2861C2212yes—
74#2861C2212yes—
75#2860C2214yes—
76#2858C2211yescharacteristic
77#2857C2211yescharacteristic
78#2856C2211yescharacteristic
79#2851C2212yes—
80#2850C2212yes—
81#2727C2214yes—
82#2725C2214yes—
83#2723C2214yes—
84#2720C2214yes—
85#2720C2214yes—
86#2707C2214yes—
87#2707C2214yes—
88#2705C2214yes—
89#2705C2214yes—
90#2705C2214yes—
91#2705C2214yes—
92#2704C2214yes—
93#2704C2214yes—
94#2702C2214yes—
95#2683C2214yes—
96#2682C2214yes—
97#2682C2214yes—
98#2681C2214yes—
99#2676C2214yes—
100#2673C2214yes—
101#2673C2214yes—
102#2636C2214yes—
103#2636C2214yes—
104#2629C2212yes—
105#2620C2212yes—
106#2609C2214yes—
107#2609C2214yes—
108#2601C2214yes—
109#2601C2214yes—
110#2601C2214yes—
111#2601C2214yes—
112#2584C2212yes—
113#2584C2212yes—
114#2580C2212yes—
115#2567C2211yescharacteristic
116#2567C2211yescharacteristic
117#2566C2212yes—
118#2566C2212yes—
119#2560C2214yes—
120#2560C2212yes—
121#2558C2212yes—
122#2558C2214yes—
123#2558C2214yes—
124#2556C2214yes—
125#2556C2214yes—
126#2554C2214yes—
127#2554C2214yes—
128#2554C2214yes—
129#2554C2214yes—
130#2552C2212yes—
131#2550C2211yescharacteristic
132#2548C2212yes—
133#2545C2211yescharacteristic
134#2544C2212yes—
135#2544C2212yes—
136#2541C2212yes—
137#2541C2211yescharacteristic
138#2541C2211yescharacteristic
139#2540C2214yes—
140#2540C2212yes—
141#2540C2211yescharacteristic
142#2540C2212yes—
143#2540C2212yes—
144#2538C2212yes—
145#2538C2211yescharacteristic
146#2538C2211yescharacteristic
147#2538C2212yes—
148#2537C2212yes—
149#2536C2211yescharacteristic
150#2535C2212yes—
151#2519C2214yes—
152#2519C2214yes—
153#2519C2212yes—
154#2512C2214yes—
155#2491C2211yescharacteristic
156#2490C2212yes—
157#2490C2212yes—
158#2489C2211yescharacteristic
159#2481C2214yes—
160#2479C2214yes—
161#2475C2214yes—
162#2473C2214yes—
163#2471C2214yes—
164#2467C2214yes—
165#2465C2214yes—
166#2463C2214yes—
167#2462C2214yes—
168#2461C2214yes—
169#2461C2214yes—
170#2461C2214yes—
171#2461C2214yes—
172#2461C2212yes—
173#2461C2214yes—
174#2461C2214yes—
175#2460C2214yes—
176#2456C2214yes—
177#2456C2214yes—
178#2456C2214yes—
179#2454C2212yes—
180#2454C2212yes—
181#2453C2212yes—
182#2449C2214yes—
183#2449C2214yes—
184#2449C2214yes—
185#2448C2212yes—
186#2448C2212yes—
187#2446C2212yes—
188#2445C2214yes—
189#2443C2214yes—
190#2443C2214yes—
191#2442C2212yes—
192#2441C2212yes—
193#2440C2212yes—
194#2432C2212yes—
195#2431C2212yes—
196#2431C2212yes—
197#2429C2212yes—
198#2429C2211yescharacteristic
199#2429C2212yes—
200#2429C2212yes—
201#2428C2212yes—
202#2428C2212yes—
203#2427C2212yes—
204#2426C2212yes—
205#2426C2212yes—
206#2426C2212yes—
207#2426C2212yes—
208#2426C2211yescharacteristic
209#2426C2212yes—
210#2426C2212yes—
211#2426C2212yes—
212#2426C2212yes—
213#2426C2212yes—
214#2423C2212yes—
215#2423C2212yes—
216#2421C2212yes—
217#2417C2212yes—
218#2417C2214yes—
219#2416C2212yes—
220#2414C2214yes—
221#2414C2212yes—
222#2409C2212yes—
223#2407C2212yes—
224#2407C2212yes—
225#2396C2212yes—
226#2392C2214yes—
227#2392C2214yes—
228#2392C2212yes—
229#2370C2214yes—
230#2370C2212yes—
231#2367C2212yes—
232#2367C2212yes—
233#2367C2211yescharacteristic
234#2366C2214yes—
235#2366C2212yes—
236#2365C2211yescharacteristic
237#2365C2212yes—
238#2363C2212yes—
239#2363C2212yes—
240#2362C2211yescharacteristic
241#2362C2212yes—
242#2362C2212yes—
243#2361C2211yescharacteristic
244#2361C2214yes—
245#2361C2214yes—
246#2361C2212yes—
247#2361C2212yes—
248#2361C2212yes—
249#2361C2212yes—
250#2361C2212yes—
251#2361C2212yes—
252#2360C2212yes—
253#2360C2212yes—
254#2355C2211yescharacteristic
255#2355C2212yes—
256#2352C2214yes—
257#2352C2212yes—
258#2352C2211yescharacteristic
259#2351C2211yescharacteristic
260#2351C2212yes—
261Q8×C4⋊C4C2212yes—
262Q8×C4⋊C4C2211yescharacteristic
263D4×C4⋊C4C2214yes—
264D4×C4⋊C4C2212yes—
265#2341C2212yes—
266#2341C2212yes—
267#2341C2211yescharacteristic
268Q8×C22⋊C4C2211yescharacteristic
269#2324C2214yes—
270#2324C2214yes—
271#2324C2212yes—
272#2324C2212yes—
273C4×C4⋊Q8C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×#127C2212yes—
276C4×#127C2214yes—
277C4×#127C2212yes—
278C4×#125C2212yes—
279C4×#125C2214yes—
280C4×#124C2212yes—
281C4×#124C2212yes—
282C4×#124C2211yescharacteristic
283C4×#124C2211yescharacteristic
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×#121C2212yes—
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic
290C4×#121C2212yes—
291C4×#121C2212yes—
292#2293C2212yes—
293#2293C2214yes—
294#2293C2214yes—
295C42×Q8C2212yes—
296C42×Q8C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×Q8C2212yes—
299C42×D4C2212yes—
300C42×D4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C23×Q8C2311yescharacteristic
305#559—28no—
306#559—28no—
307#557—28no—
308#557D4116yescomplemented
309#556—216no—
310#556—216no—
311#556—216no—
312#554—216no—
313#554—28no—
314#554—28no—
315#553—216no—
316#552—232no—
317#552—232no—
318#552—216no—
319#552—216no—
320#550—216no—
321#548—28no—
322#547—28no—
323#547—216no—
324#541—216no—
325#539—232no—
326#539—232no—
327#536—216no—
328#533—28no—
329#533—28no—
330#532—28no—
331C2×C4⋊Q8C2311yescharacteristic
332C2×C4⋊Q8C2311yescharacteristic
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2312yes—
337C2×#127C2314yes—
338C2×#127C2312yes—
339C2×#127C2311yescharacteristic
340C2×#127C2312yes—
341#529—216no—
342#529—216no—
343#529—216no—
344#529—28no—
345C2×#126C2312yes—
346C2×#126C2314yes—
347C2×#126C2314yes—
348C2×#126C2314yes—
349C2×#126C2314yes—
350C2×#126C2314yes—
351C2×#126C2314yes—
352C2×#126C2314yes—
353C2×#125—216no—
354C2×#125C2312yes—
355C2×#125C2312yes—
356C2×#125C2311yescharacteristic
357C2×#125C2312yes—
358C2×#125C2314yes—
359C2×#125C2314yes—
360C2×#125C2312yes—
361C2×#125C2312yes—
362C2×#125C2314yes—
363C2×#125C2314yes—
364C2×#125C2312yes—
365C2×#125C2314yes—
366C2×#124C2312yes—
367C2×#124C2312yes—
368C2×#124C2312yes—
369C2×#124C2311yescharacteristic
370C2×#124C2311yescharacteristic
371C2×#124C2312yes—
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2311yescharacteristic
376C2×#124C2312yes—
377C2×#124C2312yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2312yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×#123C2314yes—
386C2×#123C2314yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2311yescharacteristic
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2311yescharacteristic
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2311yescharacteristic
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2311yescharacteristic
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2314yes—
409C2×#121C2314yes—
410C2×#121C2314yes—
411C2×#121C2312yes—
412C2×#121C2312yes—
413C2×#121C2312yes—
414C2×#121C2312yes—
415C2×#121C2314yes—
416C2×#121C2312yes—
417C2×#121C2311yescharacteristic
418C2×#121C2312yes—
419C2×#121C2311yescharacteristic
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2314yes—
426C2×#121C2311yescharacteristic
427#520—216no—
428#520—216no—
429C4×#41—28no—
430C2×C4×Q8—28no—
431C2×C4×Q8C2311yescharacteristic
432C2×C4×Q8C2311yescharacteristic
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2311yescharacteristic
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2311yescharacteristic
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2311yescharacteristic
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2314yes—
457C2×C4×D4C2314yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2314yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2314yes—
469C2×C4×D4C2314yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2312yes—
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2312yes—
477C2×C4×D4C2314yes—
478C2×C4×D4C2314yes—
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2312yes—
482C2×C4×D4C2314yes—
483C2×C4×D4C2314yes—
484C2×C4×D4C2314yes—
485C2×C4×D4C2314yes—
486C2×#117C2314yes—
487C2×#117C2314yes—
488C2×#117C2312yes—
489C2×#117C2312yes—
490C2×#117C2314yes—
491C2×#117C2314yes—
492C2×#117C2311yescharacteristic
493C2×#117C2312yes—
494C2×#117C2314yes—
495C2×#117C2312yes—
496C22×C4⋊C4C2311yescharacteristic
497C22×C4⋊C4C2312yes—
498C22×C4⋊C4C2314yes—
499C22×C4⋊C4C2314yes—
500C22×C4⋊C4C2312yes—
501C22×C4⋊C4C2314yes—
502C22×C4⋊C4C2312yes—
503C22×C4⋊C4C2312yes—
504C22×C42C2312yes—
505C22×C42C2312yes—
506C22×C42C2311yescharacteristic
507C22×C42C2311yescharacteristic
508#400C2314yes—
509#400C2314yes—
510#400C2312yes—
511#399C2314yes—
512#399C2314yes—
513#399C2314yes—
514#399C2312yes—
515#399C2314yes—
516#399C2314yes—
517#398C2312yes—
518#398C2314yes—
519#398C2314yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#398C2314yes—
524#398C2312yes—
525#398C2314yes—
526#398C2314yes—
527#398C2312yes—
528#397C2312yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#396C2314yes—
533#396C2314yes—
534#396C2314yes—
535#396C2314yes—
536#396C2312yes—
537#396C2314yes—
538#396C2314yes—
539#396C2314yes—
540#396C2314yes—
541#396C2314yes—
542#396C2314yes—
543#396C2312yes—
544#396C2314yes—
545#396C2314yes—
546#396C2314yes—
547#396C2314yes—
548#396C2312yes—
549#396C2312yes—
550#396C2314yes—
551#396C2314yes—
552#395C2314yes—
553#395C2314yes—
554#395C2314yes—
555#395C2314yes—
556#395C2312yes—
557#394C2314yes—
558#394C2312yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2312yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2312yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#393C2314yes—
575#393C2312yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2312yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2314yes—
585#392C2314yes—
586#391C2312yes—
587#391C2312yes—
588#391C2312yes—
589#391C2312yes—
590#391C2312yes—
591#391C2312yes—
592#391C2312yes—
593#391C2311yescharacteristic
594#391C2311yescharacteristic
595#391C2311yescharacteristic
596#391C2312yes—
597#391C2312yes—
598#391C2311yescharacteristic
599#390C2314yes—
600#390C2312yes—
601#390C2311yescharacteristic
602#390C2314yes—
603#390C2312yes—
604#390C2311yescharacteristic
605#390C2314yes—
606#390C2314yes—
607#390C2314yes—
608#390C2312yes—
609#390C2314yes—
610#390C2314yes—
611#390C2312yes—
612#390C2314yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2312yes—
618#390C2314yes—
619#390C2314yes—
620#390C2312yes—
621#390C2311yescharacteristic
622#390C2312yes—
623#390C2312yes—
624#390C2312yes—
625#390C2312yes—
626#390C2311yescharacteristic
627#390C2312yes—
628#390C2314yes—
629#390C2314yes—
630#390C2314yes—
631#390C2314yes—
632#390C2314yes—
633#390C2312yes—
634#390C2314yes—
635#389C2312yes—
636#389C2314yes—
637#389C2312yes—
638#389C2314yes—
639#389C2312yes—
640#389C2314yes—
641#389C2314yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2311yescharacteristic
648#389C2314yes—
649#389C2314yes—
650#389C2312yes—
651#389C2311yescharacteristic
652#389C2311yescharacteristic
653#389C2312yes—
654#389C2314yes—
655#389C2314yes—
656#389C2314yes—
657#389C2314yes—
658#389C2312yes—
659#389C2312yes—
660#389C2312yes—
661#389C2314yes—
662#389C2312yes—
663#389C2312yes—
664#389C2311yescharacteristic
665#389C2314yes—
666#389C2312yes—
667#388C2312yes—
668#388C2312yes—
669#388C2312yes—
670#388C2314yes—
671#388C2314yes—
672#388C2312yes—
673#388C2314yes—
674#388C2314yes—
675#388C2312yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2312yes—
681#388C2312yes—
682#388C2312yes—
683#388C2312yes—
684#388C2314yes—
685#388C2314yes—
686#388C2312yes—
687#388C2312yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2312yes—
697#388C2312yes—
698#388C2314yes—
699#388C2314yes—
700#388C2312yes—
701#388C2312yes—
702#388C2312yes—
703#388C2312yes—
704#388C2314yes—
705#388C2312yes—
706#388C2314yes—
707#388C2312yes—
708#388C2312yes—
709#387C2314yes—
710#387C2312yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2312yes—
720#387C2314yes—
721#387C2314yes—
722#387C2312yes—
723#387C2314yes—
724#387C2312yes—
725#386C2314yes—
726#386C2312yes—
727#386C2312yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2312yes—
739#386C2312yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
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#385C2312yes—
762#385C2312yes—
763#384C2312yes—
764#384C2312yes—
765#384C2314yes—
766#384C2311yescharacteristic
767#384C2312yes—
768#382C2312yes—
769#382C2314yes—
770#382C2311yescharacteristic
771#382C2311yescharacteristic
772#382C2312yes—
773#382C2312yes—
774#380C2312yes—
775#380C2314yes—
776#380C2312yes—
777#380C2314yes—
778#380C2311yescharacteristic
779#380C2312yes—
780#380C2311yescharacteristic
781#380C2312yes—
782#380C2312yes—
783#380C2311yescharacteristic
784#380C2314yes—
785#380C2314yes—
786#380C2312yes—
787#380C2311yescharacteristic
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2314yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2314yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2314yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2314yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2314yes—
807C4×C4⋊C4C2314yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2314yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2311yescharacteristic
821C4×C22⋊C4C2311yescharacteristic
822C4×C22⋊C4C2314yes—
823C4×C22⋊C4C2311yescharacteristic
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2311yescharacteristic
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2311yescharacteristic
843C43C2314yes—
844C43C2312yes—
845C43C2312yes—
846C43C2311yescharacteristic
847C2×#41—24no—
848C2×#41—28no—
849C2×#41—28no—
850C2×#41—24no—
851C2×#41—28no—
852C2×#41—28no—
853C2×#41—44no—
854C2×#41—42no—
855C2×#41—44no—
856C22×Q8—24no—
857C22×Q8—24no—
858C22×Q8—42no—
859C22×Q8C2411yescharacteristic
860C22×Q8C2411yescharacteristic
861C22×Q8C2412yes—
862C22×Q8C2411yescharacteristic
863C22×Q8C2411yescharacteristic
864C22×Q8C2412yes—
865C22×Q8C2412yes—
866C22×Q8C2412yes—
867C22×D4C2411yescharacteristic
868C22×D4C2412yes—
869C22×D4C2412yes—
870C22×D4C2414yes—
871C22×D4C2412yes—
872C22×D4C2412yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2411yescharacteristic
876C22×D4C2411yescharacteristic
877C22×D4C2412yes—
878C22×D4C2414yes—
879C22×D4C2412yes—
880C22×D4C2414yes—
881C22×D4C2414yes—
882C22×D4C2414yes—
883C22×D4C2412yes—
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2411yescharacteristic
887C23×C4C2411yescharacteristic
888C23×C4C2411yescharacteristic
889C23×C4C2414yes—
890C23×C4C2412yes—
891C23×C4C2414yes—
892C23×C4C2412yes—
893C23×C4C2411yescharacteristic
894C23×C4C2414yes—
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2411yescharacteristic
898C23×C4C2414yes—
899C23×C4C2414yes—
900C23×C4C2414yes—
901C23×C4C2411yescharacteristic
902C4⋊Q8—24no—
903C4⋊Q8—28no—
904C4⋊Q8—24no—
905C4⋊Q8—24no—
906C4⋊Q8C2×D418yes—
907C4⋊Q8C2×D4116yes—
908#127—216no—
909#127—28no—
910#127—24no—
911#127—44no—
912#126—216no—
913#126—28no—
914#126—216no—
915#126—216no—
916#126—216no—
917#126—216no—
918#126—216no—
919#126—216no—
920#125—24no—
921#125—28no—
922#125—216no—
923#125—216no—
924#125—28no—
925#125—28no—
926#125—216no—
927#125—216no—
928#125—28no—
929#125—28no—
930#125C2×D4116yes—
931#125C2×D4132yes—
932#124—24no—
933#124—28no—
934#124—28no—
935#124—28no—
936#124—24no—
937#124—28no—
938#124—28no—
939#124—28no—
940#124—44no—
941#124—44no—
942#124—42no—
943#124—82no—
944#123—216no—
945#123—216no—
946#123—28no—
947#123—216no—
948#123—216no—
949#123—216no—
950#123—216no—
951#123—216no—
952#123—216no—
953C22⋊Q8—24no—
954C22⋊Q8—24no—
955C22⋊Q8—28no—
956C22⋊Q8—28no—
957C22⋊Q8—28no—
958C22⋊Q8—28no—
959C22⋊Q8—24no—
960C22⋊Q8—28no—
961C22⋊Q8—28no—
962C22⋊Q8—216no—
963C22⋊Q8—216no—
964C22⋊Q8—216no—
965C22⋊Q8—216no—
966C22⋊Q8—216no—
967C22⋊Q8—216no—
968C22⋊Q8—24no—
969C22⋊Q8—24no—
970C22⋊Q8—28no—
971C22⋊Q8—44no—
972C22⋊Q8—44no—
973C22⋊Q8—82no—
974C22⋊Q8—84no—
975#121—28no—
976#121—216no—
977#121—28no—
978#121—28no—
979#121—24no—
980#121—28no—
981#121—216no—
982#121—28no—
983#121—28no—
984#121—24no—
985#121—216no—
986#121—44no—
987#121—44no—
988#121—44no—
989#121—44no—
990#121—82no—
991#121—84no—
992#121#4118yes—
993C4×Q8—24no—
994C4×Q8—24no—
995C4×Q8—28no—
996C4×Q8—28no—
997C4×Q8—28no—
998C4×Q8—24no—
999C4×Q8—28no—
1000C4×Q8—28no—
1001C4×Q8—24no—
1002C4×Q8—28no—
1003C4×Q8—24no—
1004C4×Q8—28no—
1005C4×Q8—24no—
1006C4×Q8—28no—
1007C4×Q8—24no—
1008C4×Q8—42no—
1009C4×Q8—44no—
1010C4×Q8—42no—
1011C4×Q8—44no—
1012C4×Q8C2×D418yes—
1013C4×Q8C2×D4116yes—
1014C4×Q8C2×D4116yes—
1015C4×Q8C2×D418yes—
1016C4×D4—28no—
1017C4×D4—24no—
1018C4×D4—28no—
1019C4×D4—24no—
1020C4×D4—28no—
1021C4×D4—216no—
1022C4×D4—216no—
1023C4×D4—28no—
1024C4×D4—28no—
1025C4×D4—28no—
1026C4×D4—28no—
1027C4×D4—216no—
1028C4×D4—24no—
1029C4×D4—28no—
1030C4×D4—216no—
1031C4×D4—216no—
1032C4×D4—28no—
1033C4×D4—28no—
1034C4×D4—28no—
1035C4×D4—24no—
1036C4×D4—28no—
1037C4×D4—28no—
1038C4×D4—44no—
1039C4×D4—48no—
1040C4×D4—48no—
1041C4×D4—42no—
1042C4×D4—42no—
1043C4×D4—44no—
1044C4×D4—84no—
1045C4×D4—84no—
1046C4×D4—84no—
1047C4×D4—84no—
1048#117—24no—
1049#117—28no—
1050#117—216no—
1051#117—28no—
1052#117—28no—
1053#117—28no—
1054#117—216no—
1055#117—216no—
1056#117—216no—
1057#117—216no—
1058C2×C4⋊C4—24no—
1059C2×C4⋊C4—28no—
1060C2×C4⋊C4—216no—
1061C2×C4⋊C4—216no—
1062C2×C4⋊C4—28no—
1063C2×C4⋊C4—28no—
1064C2×C4⋊C4—216no—
1065C2×C4⋊C4—28no—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2411yescharacteristic
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2411yescharacteristic
1168C2×C22⋊C4C2411yescharacteristic
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2411yescharacteristic
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C42—28no—
1201C2×C42—24no—
1202C2×C42—28no—
1203C2×C42—24no—
1204C2×C42C2412yes—
1205C2×C42C2411yescharacteristic
1206C2×C42C2414yes—
1207C2×C42C2414yes—
1208C2×C42C2412yes—
1209C2×C42C2411yescharacteristic
1210C2×C42C2412yes—
1211C2×C42C2412yes—
1212C2×C42C2412yes—
1213C2×C42C2411yescharacteristic
1214C2×C42C2411yescharacteristic
1215C2×C42C2412yes—
1216C2×C42C2412yes—
1217C2×C42C2411yescharacteristic
1218C2×C42C2411yescharacteristic
1219C2×C42C2412yes—
1220C2×C42C2412yes—
1221C2×C42C2412yes—
1222C2×C42C2412yes—
1223C2×C42C2414yes—
1224C2×C42C2411yescharacteristic
1225C2×C42C2411yescharacteristic
1226C2×C42C2411yescharacteristic
1227C2×C42C2411yescharacteristic
1228C2×C42C2412yes—
1229C2×C42C2411yescharacteristic
1230C2×C42C2412yes—
1231C2×C42C2414yes—
1232C2×C42C2412yes—
1233C2×C42C2414yes—
1234C2×C42C2412yes—
1235C2×C42C2412yes—
1236C2×C42C2414yes—
1237C2×C42C2411yescharacteristic
1238C2×C42C2414yes—
1239C2×C42C2412yes—
1240C2×C42C2412yes—
1241C2×C42C2411yescharacteristic
1242#95C2411yescharacteristic
1243#95C2411yescharacteristic
1244#95C2411yescharacteristic
1245#95C2412yes—
1246#95C2412yes—
1247#95C2411yescharacteristic
1248#95C2412yes—
1249#95C2411yescharacteristic
1250#95C2412yes—
1251#95C2411yescharacteristic
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2414yes—
1256#95C2412yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2414yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2414yes—
1271#95C2412yes—
1272#95C2414yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2414yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2412yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2412yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290C24C2511yescharacteristic
1291C24C2512yes—
1292C24C2514yes—
1293C24C2511yescharacteristic
1294C24C2512yes—
1295#41—432no—
1296#41—416no—
1297#41—432no—
1298C2×Q8—22no—
1299C2×Q8—24no—
1300C2×Q8—22no—
1301C2×Q8—24no—
1302C2×Q8—24no—
1303C2×Q8—22no—
1304C2×Q8—24no—
1305C2×Q8—24no—
1306C2×Q8—22no—
1307C2×Q8—22no—
1308C2×Q8—22no—
1309C2×Q8—22no—
1310C2×Q8—22no—
1311C2×Q8—24no—
1312C2×Q8—22no—
1313C2×Q8—22no—
1314C2×Q8—42no—
1315C2×Q8—42no—
1316C2×Q8—42no—
1317C2×Q8—42no—
1318C2×Q8—42no—
1319C2×Q8—416no—
1320C2×Q8C22×D414yes—
1321C2×Q8C22×D418yes—
1322C2×Q8C22×D414yes—
1323C2×D4—22no—
1324C2×D4—24no—
1325C2×D4—28no—
1326C2×D4—24no—
1327C2×D4—28no—
1328C2×D4—28no—
1329C2×D4—28no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—24no—
1333C2×D4—24no—
1334C2×D4—28no—
1335C2×D4—28no—
1336C2×D4—24no—
1337C2×D4—24no—
1338C2×D4—24no—
1339C2×D4—24no—
1340C2×D4—28no—
1341C2×D4—28no—
1342C2×D4—24no—
1343C2×D4—22no—
1344C2×D4—24no—
1345C2×D4—22no—
1346C2×D4—24no—
1347C2×D4—24no—
1348C2×D4—22no—
1349C2×D4—42no—
1350C2×D4—42no—
1351C2×D4—41no—
1352C2×D4—41no—
1353C2×D4—44no—
1354C2×D4—42no—
1355C2×D4—44no—
1356C2×D4—44no—
1357C2×D4—42no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4C2×#4114yes—
1373C2×D4C2×#4118yes—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—24no—
1377C22×C4—28no—
1378C22×C4—24no—
1379C22×C4—22no—
1380C22×C4—24no—
1381C22×C4—24no—
1382C22×C4—24no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—28no—
1386C22×C4—28no—
1387C22×C4—24no—
1388C22×C4—28no—
1389C22×C4—24no—
1390C22×C4—22no—
1391C22×C4—24no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—24no—
1397C22×C4—22no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—24no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—28no—
1404C22×C4—28no—
1405C22×C4—28no—
1406C22×C4—28no—
1407C22×C4—42no—
1408C22×C4—44no—
1409C22×C4—44no—
1410C22×C4—42no—
1411C22×C4—44no—
1412C22×C4—44no—
1413C22×C4—42no—
1414C22×C4—42no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4—41no—
1418C22×C4—41no—
1419C22×C4—42no—
1420C22×C4—42no—
1421C22×C4—44no—
1422C22×C4—44no—
1423C22×C4—44no—
1424C22×C4—44no—
1425C22×C4—41no—
1426C22×C4—41no—
1427C22×C4C2×#4114yes—
1428C22×C4C2512yes—
1429C22×C4C2511yescharacteristic
1430C22×C4C2511yescharacteristic
1431C22×C4C2512yes—
1432C22×C4C2514yes—
1433C22×C4C2511yescharacteristic
1434C22×C4C2511yescharacteristic
1435C22×C4C2511yescharacteristic
1436C22×C4C2511yescharacteristic
1437C22×C4C2512yes—
1438C22×C4C2512yes—
1439C22×C4C2512yes—
1440C22×C4C2512yes—
1441C22×C4C2511yescharacteristic
1442C22×C4C2512yes—
1443C22×C4C2511yescharacteristic
1444C22×C4C2512yes—
1445C22×C4C2514yes—
1446C22×C4C2512yes—
1447C22×C4C2512yes—
1448C22×C4C2514yes—
1449C22×C4C2511yescharacteristic
1450C22×C4C2512yes—
1451C22×C4C2512yes—
1452C22×C4C2512yes—
1453C22×C4C2511yescharacteristic
1454C22×C4C2512yes—
1455C22×C4C2511yescharacteristic
1456C22×C4C2511yescharacteristic
1457C22×C4C2511yescharacteristic
1458C4⋊C4—24no—
1459C4⋊C4—24no—
1460C4⋊C4—28no—
1461C4⋊C4—24no—
1462C4⋊C4—22no—
1463C4⋊C4—24no—
1464C4⋊C4—24no—
1465C4⋊C4—28no—
1466C4⋊C4—22no—
1467C4⋊C4—24no—
1468C4⋊C4—28no—
1469C4⋊C4—28no—
1470C4⋊C4—24no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—28no—
1474C4⋊C4—28no—
1475C4⋊C4—28no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—24no—
1479C4⋊C4—24no—
1480C4⋊C4—22no—
1481C4⋊C4—24no—
1482C4⋊C4—28no—
1483C4⋊C4—28no—
1484C4⋊C4—22no—
1485C4⋊C4—24no—
1486C4⋊C4—28no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—22no—
1490C4⋊C4—24no—
1491C4⋊C4—28no—
1492C4⋊C4—24no—
1493C4⋊C4—24no—
1494C4⋊C4—24no—
1495C4⋊C4—22no—
1496C4⋊C4—22no—
1497C4⋊C4—24no—
1498C4⋊C4—24no—
1499C4⋊C4—42no—
1500C4⋊C4—44no—
1501C4⋊C4—42no—
1502C4⋊C4—41no—
1503C4⋊C4—41no—
1504C4⋊C4—44no—
1505C4⋊C4—44no—
1506C4⋊C4—42no—
1507C4⋊C4—44no—
1508C4⋊C4—42no—
1509C4⋊C4—44no—
1510C4⋊C4—44no—
1511C4⋊C4—42no—
1512C4⋊C4—44no—
1513C4⋊C4—42no—
1514C4⋊C4—44no—
1515C4⋊C4—44no—
1516C4⋊C4—44no—
1517C4⋊C4C22×D414yes—
1518C4⋊C4C22×D414yes—
1519C4⋊C4C22×D4116yes—
1520C4⋊C4C22×D418yes—
1521C4⋊C4C22×D418yes—
1522C4⋊C4C22×D4116yes—
1523C4⋊C4C22×D418yes—
1524C4⋊C4C22×D418yes—
1525C4⋊C4C22×D4116yes—
1526C4⋊C4C2×#4114yes—
1527C4⋊C42−1+414yes—
1528C22⋊C4—22no—
1529C22⋊C4—24no—
1530C22⋊C4—24no—
1531C22⋊C4—24no—
1532C22⋊C4—24no—
1533C22⋊C4—28no—
1534C22⋊C4—24no—
1535C22⋊C4—24no—
1536C22⋊C4—24no—
1537C22⋊C4—24no—
1538C22⋊C4—24no—
1539C22⋊C4—28no—
1540C22⋊C4—24no—
1541C22⋊C4—24no—
1542C22⋊C4—28no—
1543C22⋊C4—28no—
1544C22⋊C4—28no—
1545C22⋊C4—28no—
1546C22⋊C4—28no—
1547C22⋊C4—28no—
1548C22⋊C4—28no—
1549C22⋊C4—28no—
1550C22⋊C4—24no—
1551C22⋊C4—28no—
1552C22⋊C4—28no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—28no—
1556C22⋊C4—22no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—28no—
1560C22⋊C4—24no—
1561C22⋊C4—22no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—28no—
1565C22⋊C4—22no—
1566C22⋊C4—41no—
1567C22⋊C4—41no—
1568C22⋊C4—42no—
1569C22⋊C4—42no—
1570C22⋊C4—42no—
1571C22⋊C4—42no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—42no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—42no—
1586C22⋊C4—42no—
1587C22⋊C4—44no—
1588C22⋊C4—42no—
1589C22⋊C4—42no—
1590C22⋊C4—42no—
1591C22⋊C4C2×#4118yes—
1592C42—22no—
1593C42—24no—
1594C42—22no—
1595C42—24no—
1596C42—22no—
1597C42—24no—
1598C42—22no—
1599C42—22no—
1600C42—24no—
1601C42—24no—
1602C42—22no—
1603C42—28no—
1604C42—28no—
1605C42—24no—
1606C42—24no—
1607C42—22no—
1608C42—28no—
1609C42—24no—
1610C42—24no—
1611C42—22no—
1612C42—24no—
1613C42—24no—
1614C42—22no—
1615C42—24no—
1616C42—22no—
1617C42—22no—
1618C42—44no—
1619C42—42no—
1620C42—42no—
1621C42—44no—
1622C42—42no—
1623C42—44no—
1624C42—42no—
1625C42—41no—
1626C42C22×D418yes—
1627C42C22×D414yes—
1628C42C22×D4116yes—
1629C42C22×D418yes—
1630C23—21no—
1631C23—22no—
1632C23—21no—
1633C23—22no—
1634C23—21no—
1635C23—22no—
1636C23—21no—
1637C23—22no—
1638C23—21no—
1639C23—22no—
1640C23—22no—
1641C23—21no—
1642C23—24no—
1643C23—22no—
1644C23—21no—
1645C23—21no—
1646C23—22no—
1647C23—24no—
1648C23—21no—
1649C23—22no—
1650C23—24no—
1651C23—21no—
1652C23—22no—
1653C23—24no—
1654C23—22no—
1655C23—24no—
1656C23—22no—
1657C23—24no—
1658C23—21no—
1659C23—21no—
1660C23—22no—
1661C23—24no—
1662C23—21no—
1663C23C22×#4112yes—
1664C23C22×#4114yes—
1665C23C2611yescharacteristic
1666Q8—28no—
1667Q8—216no—
1668Q8—28no—
1669Q8—48no—
1670Q8—44no—
1671Q8—44no—
1672Q8—84no—
1673Q8—84no—
1674D4—28no—
1675D4—48no—
1676D4—48no—
1677D4—416no—
1678D4—416no—
1679D4—416no—
1680D4—48no—
1681D4—44no—
1682D4—48no—
1683D4—44no—
1684D4—48no—
1685D4—84no—
1686D4—84no—
1687D4—88no—
1688D4—88no—
1689D4—88no—
1690D4—164no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—24no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—22no—
1697C2×C4—21no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—21no—
1703C2×C4—22no—
1704C2×C4—24no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—28no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—22no—
1716C2×C4—21no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—21no—
1720C2×C4—22no—
1721C2×C4—24no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—21no—
1741C2×C4—24no—
1742C2×C4—24no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—21no—
1746C2×C4—24no—
1747C2×C4—22no—
1748C2×C4—21no—
1749C2×C4—22no—
1750C2×C4—21no—
1751C2×C4—22no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—24no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—21no—
1763C2×C4—22no—
1764C2×C4—24no—
1765C2×C4—21no—
1766C2×C4—416no—
1767C2×C4—48no—
1768C2×C4—416no—
1769C2×C4—48no—
1770C2×C4—44no—
1771C2×C4—48no—
1772C2×C4—44no—
1773C2×C4—48no—
1774C2×C4—44no—
1775C2×C4—84no—
1776C2×C4—84no—
1777C2×C4—88no—
1778C2×C4—88no—
1779C2×C4—88no—
1780C2×C4—88no—
1781C2×C4—82no—
1782C2×C4—82no—
1783C2×C4C23×D414yes—
1784C2×C4C23×D414yes—
1785C2×C4C23×D418yes—
1786C2×C4C23×D412yes—
1787C2×C4C23×D414yes—
1788C2×C4C23×D414yes—
1789C2×C4C23×D412yes—
1790C2×C4C23×D412yes—
1791C2×C4C22×#4114yes—
1792C2×C4C22×#4112yes—
1793C2×C4C22×#4112yes—
1794C2×C4C2×2−1+414yes—
1795C2×C4C2×2−1+412yes—
1796C2×C4#58512yes—
1797C2×C4#58512yes—
1798C2×C4#58512yes—
1799C22—22no—
1800C22—24no—
1801C22—22no—
1802C22—24no—
1803C22—22no—
1804C22—24no—
1805C22—41no—
1806C22—42no—
1807C22—41no—
1808C22—42no—
1809C22—41no—
1810C22—42no—
1811C22—41no—
1812C22—42no—
1813C22—42no—
1814C22—44no—
1815C22—41no—
1816C22—42no—
1817C22—44no—
1818C22—41no—
1819C22—41no—
1820C22—42no—
1821C22—44no—
1822C22—41no—
1823C22—42no—
1824C22—44no—
1825C22—41no—
1826C22—42no—
1827C22—44no—
1828C22—44no—
1829C22—41no—
1830C22—42no—
1831C22—42no—
1832C22—44no—
1833C22—41no—
1834C22C24×D411yescharacteristic
1835C22C23×#4111yescharacteristic
1836C22C22×2−1+411yescharacteristic
1837C22C2×#58511yescharacteristic
1838C22C2×#58511yescharacteristic
1839C22C2×#58511yescharacteristic
1840C22H(7,𝔽2)11yescharacteristic
1841C4—24no—
1842C4—24no—
1843C4—24no—
1844C4—22no—
1845C4—22no—
1846C4—24no—
1847C4—24no—
1848C4—22no—
1849C4—28no—
1850C4—24no—
1851C4—41no—
1852C4—41no—
1853C4—42no—
1854C4—44no—
1855C4—42no—
1856C4—41no—
1857C4—41no—
1858C4—42no—
1859C4—41no—
1860C4—41no—
1861C4—42no—
1862C4—42no—
1863C4—41no—
1864C4—42no—
1865C4—42no—
1866C4—41no—
1867C4—42no—
1868C4—44no—
1869C4D4×#4114yes—
1870C4#349714yes—
1871C2—42no—
1872C2—44no—
1873C2—82no—
1874C2—84no—
1875C2—81no—
1876C2C2×D4×#4111yescharacteristic
1877C2#6278111yescharacteristic
1878C2C2×#349711yescharacteristic
1879C2#6296911yescharacteristic
1880C2#6300011yescharacteristic
1881C2#6300311yescharacteristic
1882C2#6303311yescharacteristic
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×#3507C2semidirect
3. #59838C2semidirect
4. #59657C2semidirect
5. #59418C2semidirect
6. #59410C2semidirect
7. #59155C2semidirect
8. #59067C2semidirect
9. #59053C2semidirect
10. #59051C2semidirect
11. #45242C2semidirect
12. #45241C2semidirect
13. #44382C2semidirect
14. #44290C2semidirect
15. #39883C2semidirect
16. #39882C2semidirect
17. #39598C2semidirect
18. #39445C2semidirect
19. #39417C2semidirect
20. #39137C2semidirect
21. #36544C2semidirect
22. #36496C2semidirect
23. #36496C2semidirect
24. #36493C2semidirect
25. #36268C2semidirect
26. #36268C2semidirect
27. #36150C2semidirect
28. #36112C2semidirect
29. #35787C2semidirect
30. #35772C2semidirect
31. #34934C2semidirect
32. #34919C2semidirect
33. #34313C2semidirect
34. C4×#557C2semidirect
35. C4×#548C2semidirect
308. #557D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35152
C2×#35072
#598382
#596572
#594182
#594102
#591552
#590672
#590532
#590512
#452422
#452412
#443822
#442902
#398832
#398822
#395982
#394452
#394172
#391372
#365442
#364962
#364932
#362682
#361502
#361122
#357872
#357722
#349342
#349192
#343132
C4×#5572
C4×#5482