Finite Group Databasebeta

← #7631633

Subgroups — #7631633

Order 512.

7140 conjugacy classes of subgroups.

The subgroup lattice has 1811 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3515C212yesmaximal, complemented
2#36561C211yesmaximal, characteristic, complemented
3#36560C211yesmaximal, characteristic, complemented
4#36270C211yesmaximal, characteristic, complemented
5#36265C212yesmaximal, complemented
6#36265C212yesmaximal, complemented
7#36263C212yesmaximal, complemented
8#36261C211yesmaximal, characteristic, complemented
9#36259C211yesmaximal, characteristic, complemented
10#36259C211yesmaximal, characteristic, complemented
11#36186C211yesmaximal, characteristic, complemented
12#36181C212yesmaximal, complemented
13#36179C211yesmaximal, characteristic, complemented
14#36045C214yesmaximal, complemented
15#36042C212yesmaximal, complemented
16#36024C214yesmaximal, complemented
17#36020C212yesmaximal, complemented
18#35949C212yesmaximal, complemented
19#35773C212yesmaximal, complemented
20#35637C212yesmaximal, complemented
21#35635C212yesmaximal, complemented
22#35468C214yesmaximal, complemented
23#35464C214yesmaximal, complemented
24#35319C211yesmaximal, characteristic, complemented
25#35209C211yesmaximal, characteristic, complemented
26#35008C212yesmaximal, complemented
27#35006C212yesmaximal, complemented
28#34929C211yesmaximal, characteristic, complemented
29#34914C211yesmaximal, characteristic, complemented
30#34763C212yesmaximal, complemented
31C2×#2506C212yesmaximal, complemented
32#34308C211yesmaximal, characteristic, complemented
33#34289C212yesmaximal, complemented
34C4×#547C211yesmaximal, characteristic, complemented
35C4×#520C211yesmaximal, characteristic, complemented
36#3515—232no—
37C2×#557C2212yes—
38C2×#554C2212yes—
39C2×#554C2212yes—
40C2×#553C2214yes—
41C2×#552C2214yes—
42C2×#552C2212yes—
43C2×#552C2212yes—
44C2×#552C2214yes—
45C2×#552C2214yes—
46C2×#547C2211yescharacteristic
47C2×#547C2212yes—
48C2×#547C2212yes—
49C2×#547C2212yes—
50C2×#547C2211yescharacteristic
51C2×#547C2212yes—
52C2×#541C2212yes—
53C2×#541C2212yes—
54C2×#539C2214yes—
55C2×#539C2214yes—
56C2×#533C2212yes—
57C2×#529C2212yes—
58C2×#529C2214yes—
59C22×#125C2214yes—
60C2×#520C2212yes—
61C2×#520C2211yescharacteristic
62C2×#520C2211yescharacteristic
63C2×C4×#41C2212yes—
64C2×C4×#41C2211yescharacteristic
65#2868C2211yescharacteristic
66#2860C2212yes—
67#2860C2212yes—
68#2859C2212yes—
69#2859C2211yescharacteristic
70#2859C2212yes—
71#2857C2212yes—
72#2857C2212yes—
73#2857C2211yescharacteristic
74#2857C2211yescharacteristic
75#2856C2212yes—
76#2854C2212yes—
77#2854C2212yes—
78#2854C2212yes—
79#2664C2214yes—
80#2664C2214yes—
81#2663C2214yes—
82#2642C2212yes—
83#2639C2214yes—
84#2621C2212yes—
85#2618C2214yes—
86#2611C2214yes—
87#2611C2214yes—
88#2604C2214yes—
89#2604C2214yes—
90#2602C2214yes—
91#2601C2214yes—
92#2601C2214yes—
93#2591C2214yes—
94#2584C2212yes—
95#2583C2214yes—
96#2568C2212yes—
97#2565C2214yes—
98#2565C2214yes—
99#2564C2214yes—
100#2562C2212yes—
101#2560C2214yes—
102#2560C2212yes—
103#2560C2214yes—
104#2559C2214yes—
105#2559C2212yes—
106#2558C2214yes—
107#2558C2212yes—
108#2558C2214yes—
109#2558C2214yes—
110#2558C2214yes—
111#2557C2212yes—
112#2556C2214yes—
113#2556C2214yes—
114#2556C2214yes—
115#2556C2214yes—
116#2556C2214yes—
117#2553C2214yes—
118#2552C2211yescharacteristic
119#2551C2211yescharacteristic
120#2550C2212yes—
121#2549C2214yes—
122#2546C2212yes—
123#2546C2211yescharacteristic
124#2546C2211yescharacteristic
125#2543C2214yes—
126#2542C2212yes—
127#2542C2212yes—
128#2542C2211yescharacteristic
129#2542C2211yescharacteristic
130#2538C2211yescharacteristic
131#2538C2211yescharacteristic
132#2536C2212yes—
133#2521C2214yes—
134#2519C2214yes—
135#2519C2214yes—
136#2519C2214yes—
137#2519C2214yes—
138#2519C2214yes—
139#2512C2212yes—
140#2512C2211yescharacteristic
141#2512C2212yes—
142#2506C2214yes—
143#2506C2214yes—
144#2506C2214yes—
145#2506C2212yes—
146#2506C2212yes—
147#2506C2212yes—
148#2506C2211yescharacteristic
149#2506C2214yes—
150#2506C2212yes—
151#2506C2212yes—
152#2506C2212yes—
153#2506C2214yes—
154#2506C2212yes—
155#2506C2212yes—
156#2506C2212yes—
157#2506C2212yes—
158#2506C2214yes—
159#2506C2212yes—
160#2503C2214yes—
161#2501C2214yes—
162#2501C2214yes—
163#2501C2212yes—
164#2501C2212yes—
165#2499C2214yes—
166#2498C2214yes—
167#2496C2214yes—
168#2496C2211yescharacteristic
169#2496C2212yes—
170#2496C2212yes—
171#2496C2212yes—
172#2496C2212yes—
173#2492C2212yes—
174#2492C2212yes—
175#2491C2211yescharacteristic
176#2489C2212yes—
177#2489C2212yes—
178#2488C2214yes—
179#2488C2214yes—
180#2488C2214yes—
181#2488C2214yes—
182#2486C2214yes—
183#2486C2212yes—
184#2486C2212yes—
185#2452C2211yescharacteristic
186#2452C2212yes—
187#2452C2212yes—
188#2445C2211yescharacteristic
189#2445C2212yes—
190#2440C2212yes—
191#2440C2212yes—
192#2429C2212yes—
193#2429C2212yes—
194#2429C2212yes—
195#2429C2212yes—
196#2428C2211yescharacteristic
197#2425C2214yes—
198#2425C2214yes—
199#2425C2214yes—
200#2425C2214yes—
201#2422C2211yescharacteristic
202#2417C2212yes—
203#2417C2212yes—
204#2416C2212yes—
205#2416C2212yes—
206#2415C2212yes—
207#2415C2212yes—
208#2413C2214yes—
209#2413C2214yes—
210#2413C2214yes—
211#2413C2214yes—
212#2398C2212yes—
213#2396C2214yes—
214#2396C2214yes—
215#2395C2214yes—
216C2×#400C2214yes—
217#2392C2212yes—
218C2×#398C2214yes—
219#2365C2211yescharacteristic
220#2365C2211yescharacteristic
221#2365C2212yes—
222#2364C2214yes—
223#2362C2212yes—
224#2362C2212yes—
225#2361C2212yes—
226#2361C2212yes—
227#2360C2212yes—
228#2360C2212yes—
229#2359C2214yes—
230#2359C2214yes—
231#2359C2214yes—
232#2359C2214yes—
233#2354C2211yescharacteristic
234#2352C2212yes—
235#2349C2212yes—
236D4×C4⋊C4C2211yescharacteristic
237D4×C4⋊C4C2211yescharacteristic
238D4×C4⋊C4C2211yescharacteristic
239#2344C2212yes—
240#2344C2212yes—
241#2344C2214yes—
242#2339C2212yes—
243#2339C2212yes—
244#2339C2212yes—
245#2339C2212yes—
246#2327C2212yes—
247#2325C2214yes—
248#2323C2212yes—
249#2323C2212yes—
250#2322C2214yes—
251#2322C2214yes—
252C4×C4⋊Q8C2211yescharacteristic
253C4×C4⋊Q8C2212yes—
254C4×C4⋊Q8C2211yescharacteristic
255C4×C4⋊Q8C2211yescharacteristic
256C4×C4⋊Q8C2212yes—
257C4×#127C2211yescharacteristic
258C4×C22⋊Q8C2212yes—
259C4×C22⋊Q8C2212yes—
260C4×#123C2214yes—
261C4×#123C2214yes—
262C4×#121C2212yes—
263C4×#121C2211yescharacteristic
264C4×#121C2211yescharacteristic
265C4×#121C2212yes—
266C4×#121C2212yes—
267#2293C2211yescharacteristic
268#2293C2212yes—
269#2293C2212yes—
270C2×#389C2212yes—
271C2×#389C2212yes—
272C2×#389C2212yes—
273C2×#389C2212yes—
274#2290C2212yes—
275C2×#387C2214yes—
276#2285C2212yes—
277C2×#384C2212yes—
278#2276C2211yescharacteristic
279#2276C2211yescharacteristic
280#2275C2212yes—
281#2275C2211yescharacteristic
282#2275C2212yes—
283#2275C2211yescharacteristic
284#2274C2211yescharacteristic
285#2274C2212yes—
286#2274C2212yes—
287#2274C2211yescharacteristic
288C42×Q8C2211yescharacteristic
289C42×Q8C2211yescharacteristic
290C42×D4C2211yescharacteristic
291C42×D4C2211yescharacteristic
292C42×D4C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2212yes—
295C4×#117C2211yescharacteristic
296C4×#117C2212yes—
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C2×C4×C4⋊C4C2212yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303#557—216no—
304#554—216no—
305#554—216no—
306#553—232no—
307#552—216no—
308#552—232no—
309#552—232no—
310#552—232no—
311#552—216no—
312#547—216no—
313#547—216no—
314#547—216no—
315#547—28no—
316#547—28no—
317#547—216no—
318#541—216no—
319#541—216no—
320#539—232no—
321#539—232no—
322#533—216no—
323C2×C4⋊Q8C2311yescharacteristic
324C2×C4⋊Q8C2311yescharacteristic
325C2×C4⋊Q8C2311yescharacteristic
326C2×C4⋊Q8C2312yes—
327C2×C4⋊Q8C2312yes—
328C2×C4⋊Q8C2312yes—
329C2×C4⋊Q8C2312yes—
330C2×C4⋊Q8C2312yes—
331C2×C4⋊Q8C2312yes—
332C2×#127C2311yescharacteristic
333#529—232no—
334#529—216no—
335C2×#126C2314yes—
336C2×#126C2312yes—
337C2×#126C2314yes—
338C2×#126C2314yes—
339C2×#126C2314yes—
340C2×#126C2314yes—
341C2×#126C2312yes—
342C2×#126C2314yes—
343C2×#125—232no—
344C2×#125C2312yes—
345C2×#125C2314yes—
346C2×#125C2314yes—
347C2×#125C2312yes—
348C2×#125C2314yes—
349C2×#125C2314yes—
350C2×#125C2314yes—
351C2×#125C2314yes—
352C2×#125C2314yes—
353C2×#125C2314yes—
354C2×#125C2314yes—
355C2×#125C2314yes—
356C2×#125C2314yes—
357C2×#125C2312yes—
358C2×#124C2312yes—
359C2×#123C2314yes—
360C2×#123C2314yes—
361C2×#123C2314yes—
362C2×#123C2314yes—
363C2×#123C2314yes—
364C2×#123C2314yes—
365C2×#123C2314yes—
366C2×#123C2312yes—
367C2×#123C2314yes—
368C2×#123C2312yes—
369C2×#123C2314yes—
370C2×#123C2314yes—
371C2×#123C2314yes—
372C2×#123C2314yes—
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2314yes—
375C2×C22⋊Q8C2314yes—
376C2×C22⋊Q8C2314yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2314yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2314yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2314yes—
395C2×#121C2312yes—
396C2×#121C2311yescharacteristic
397C2×#121C2314yes—
398C2×#121C2311yescharacteristic
399#520—216no—
400#520—28no—
401#520D4116yescomplemented
402C4×#41—216no—
403C4×#41—28no—
404C2×C4×Q8C2314yes—
405C2×C4×Q8C2314yes—
406C2×C4×Q8C2312yes—
407C2×C4×Q8C2312yes—
408C2×C4×Q8C2312yes—
409C2×C4×Q8C2312yes—
410C2×C4×Q8C2312yes—
411C2×C4×Q8C2311yescharacteristic
412C2×C4×Q8C2311yescharacteristic
413C2×C4×Q8C2311yescharacteristic
414C2×C4×Q8C2311yescharacteristic
415C2×C4×Q8C2311yescharacteristic
416C2×C4×Q8C2311yescharacteristic
417C2×C4×D4C2312yes—
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2312yes—
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2314yes—
422C2×C4×D4C2314yes—
423C2×C4×D4C2314yes—
424C2×C4×D4C2311yescharacteristic
425C2×C4×D4C2311yescharacteristic
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2314yes—
429C2×C4×D4C2314yes—
430C2×C4×D4C2311yescharacteristic
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2311yescharacteristic
439C2×C4×D4C2311yescharacteristic
440C2×C4×D4C2312yes—
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2312yes—
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2311yescharacteristic
445C2×#117C2312yes—
446C2×#117C2314yes—
447C2×#117C2314yes—
448C2×#117C2314yes—
449C2×#117C2314yes—
450C2×#117C2312yes—
451C2×#117C2311yescharacteristic
452C2×#117C2314yes—
453C2×#117C2312yes—
454C2×#117C2311yescharacteristic
455C2×#117C2312yes—
456C2×#117C2311yescharacteristic
457C2×#117C2312yes—
458C22×C4⋊C4C2314yes—
459C22×C4⋊C4C2314yes—
460C22×C4⋊C4C2314yes—
461C22×C4⋊C4C2312yes—
462C22×C4⋊C4C2312yes—
463C22×C4⋊C4C2312yes—
464C22×C4⋊C4C2312yes—
465C22×C4⋊C4C2312yes—
466C22×C4⋊C4C2314yes—
467C22×C4⋊C4C2314yes—
468C22×C4⋊C4C2314yes—
469C22×C4⋊C4C2311yescharacteristic
470C22×C4⋊C4C2312yes—
471C22×C4⋊C4C2312yes—
472C22×C4⋊C4C2311yescharacteristic
473C22×C42C2312yes—
474C22×C42C2311yescharacteristic
475C22×C42C2314yes—
476C22×C42C2312yes—
477C22×C42C2312yes—
478C22×C42C2312yes—
479C22×C42C2312yes—
480#400C2314yes—
481#400C2314yes—
482#400C2314yes—
483#400C2314yes—
484#400C2314yes—
485#400C2314yes—
486#400C2314yes—
487#400C2314yes—
488#400C2314yes—
489#400C2312yes—
490#400C2314yes—
491#400C2314yes—
492#400C2312yes—
493#399C2314yes—
494#399C2314yes—
495#399C2314yes—
496#399C2314yes—
497#399C2314yes—
498#399C2314yes—
499#398C2314yes—
500#398C2314yes—
501#398C2312yes—
502#398C2314yes—
503#398C2314yes—
504#398C2314yes—
505#398C2314yes—
506#398C2314yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2314yes—
516#397C2314yes—
517#397C2314yes—
518#397C2312yes—
519#397C2314yes—
520#397C2312yes—
521#397C2314yes—
522#397C2312yes—
523#397C2314yes—
524#397C2314yes—
525#396C2314yes—
526#396C2314yes—
527#396C2314yes—
528#396C2314yes—
529#396C2314yes—
530#396C2314yes—
531#396C2314yes—
532#396C2314yes—
533#396C2312yes—
534#396C2312yes—
535#395C2314yes—
536#395C2314yes—
537#395C2314yes—
538#394C2312yes—
539#394C2314yes—
540#394C2314yes—
541#394C2312yes—
542#394C2314yes—
543#394C2314yes—
544#394C2312yes—
545#394C2312yes—
546#394C2312yes—
547#393C2314yes—
548#393C2314yes—
549#393C2312yes—
550#393C2312yes—
551#392C2312yes—
552#391C2314yes—
553#391C2312yes—
554#391C2314yes—
555#391C2312yes—
556#391C2312yes—
557#391C2314yes—
558#391C2314yes—
559#391C2312yes—
560#391C2312yes—
561#391C2312yes—
562#391C2312yes—
563#391C2312yes—
564#391C2312yes—
565#390C2314yes—
566#390C2312yes—
567#390C2311yescharacteristic
568#390C2311yescharacteristic
569#390C2312yes—
570#390C2311yescharacteristic
571#390C2311yescharacteristic
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2314yes—
578#390C2311yescharacteristic
579#390C2311yescharacteristic
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2311yescharacteristic
586#389C2314yes—
587#389C2314yes—
588#389C2312yes—
589#389C2312yes—
590#389C2311yescharacteristic
591#389C2312yes—
592#389C2312yes—
593#389C2314yes—
594#389C2314yes—
595#389C2314yes—
596#389C2312yes—
597#389C2312yes—
598#389C2314yes—
599#389C2312yes—
600#389C2314yes—
601#389C2314yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2311yescharacteristic
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2314yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2314yes—
617#389C2314yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2314yes—
622#389C2314yes—
623#389C2314yes—
624#389C2314yes—
625#389C2314yes—
626#389C2311yescharacteristic
627#389C2312yes—
628#389C2311yescharacteristic
629#389C2311yescharacteristic
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2312yes—
636#388C2314yes—
637#388C2312yes—
638#388C2312yes—
639#388C2314yes—
640#388C2314yes—
641#388C2312yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2312yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2312yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2312yes—
678#387C2314yes—
679#386C2312yes—
680#386C2314yes—
681#386C2312yes—
682#386C2312yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2312yes—
694#385C2314yes—
695#385C2314yes—
696#385C2312yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2312yes—
705#384C2311yescharacteristic
706#384C2311yescharacteristic
707#384C2311yescharacteristic
708#384C2311yescharacteristic
709#384C2312yes—
710#384C2312yes—
711#384C2312yes—
712#384C2314yes—
713#384C2312yes—
714#384C2312yes—
715#384C2312yes—
716#384C2312yes—
717#384C2314yes—
718#382C2314yes—
719#382C2314yes—
720#382C2312yes—
721#382C2314yes—
722#381C2314yes—
723#381C2314yes—
724#381C2314yes—
725#381C2314yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2314yes—
732#380C2314yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2314yes—
740#380C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823#376C2311yescharacteristic
824#376C2312yes—
825#376C2312yes—
826#376C2311yescharacteristic
827C2×#95C2312yes—
828C2×#95C2312yes—
829C2×#95C2314yes—
830C2×#95C2314yes—
831C2×#95C2314yes—
832C2×#95C2314yes—
833C2×#95C2314yes—
834C2×#95C2312yes—
835C43C2311yescharacteristic
836C43C2311yescharacteristic
837C43C2312yes—
838C43C2312yes—
839C2×#41—28no—
840C2×#41—28no—
841C2×#41—24no—
842C2×#41—24no—
843C2×#41—28no—
844C2×#41—28no—
845C2×#41—28no—
846C2×#41—28no—
847C2×#41C2×D418yes—
848C22×Q8C2412yes—
849C22×Q8C2412yes—
850C22×Q8C2412yes—
851C22×Q8C2411yescharacteristic
852C22×Q8C2414yes—
853C22×D4C2411yescharacteristic
854C22×D4C2411yescharacteristic
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2411yescharacteristic
863C23×C4C2414yes—
864C23×C4C2414yes—
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2411yescharacteristic
868C23×C4C2414yes—
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2411yescharacteristic
872C23×C4C2412yes—
873C23×C4C2414yes—
874C23×C4C2414yes—
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2411yescharacteristic
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2412yes—
883C23×C4C2412yes—
884C4⋊Q8—28no—
885C4⋊Q8—28no—
886C4⋊Q8—28no—
887C4⋊Q8—24no—
888C4⋊Q8—28no—
889C4⋊Q8—24no—
890C4⋊Q8—24no—
891C4⋊Q8—28no—
892C4⋊Q8—44no—
893#127—42no—
894#126—216no—
895#126—28no—
896#126—216no—
897#126—216no—
898#126—28no—
899#126—216no—
900#126—216no—
901#126—216no—
902#125—28no—
903#125—216no—
904#125—216no—
905#125—216no—
906#125—216no—
907#125—216no—
908#125—216no—
909#125—216no—
910#125—216no—
911#125—216no—
912#125—28no—
913#125—216no—
914#125—216no—
915#125—28no—
916#124—28no—
917#123—216no—
918#123—216no—
919#123—216no—
920#123—216no—
921#123—216no—
922#123—28no—
923#123—216no—
924#123—28no—
925#123—216no—
926#123—216no—
927#123—216no—
928#123—216no—
929#123—216no—
930#123—216no—
931C22⋊Q8—28no—
932C22⋊Q8—28no—
933C22⋊Q8—216no—
934C22⋊Q8—216no—
935C22⋊Q8—28no—
936C22⋊Q8—28no—
937C22⋊Q8—28no—
938C22⋊Q8—216no—
939C22⋊Q8—28no—
940C22⋊Q8—216no—
941C22⋊Q8—28no—
942C22⋊Q8—28no—
943C22⋊Q8—28no—
944C22⋊Q8—28no—
945C22⋊Q8—28no—
946C22⋊Q8—216no—
947C22⋊Q8—216no—
948#121—216no—
949#121—216no—
950#121—216no—
951#121—28no—
952#121—28no—
953#121—216no—
954#121—24no—
955#121—28no—
956#121—42no—
957C4×Q8—28no—
958C4×Q8—28no—
959C4×Q8—24no—
960C4×Q8—24no—
961C4×Q8—28no—
962C4×Q8—28no—
963C4×Q8—216no—
964C4×Q8—28no—
965C4×Q8—216no—
966C4×Q8—24no—
967C4×Q8—24no—
968C4×Q8C2×D418yes—
969C4×Q8C2×D418yes—
970C4×D4—28no—
971C4×D4—28no—
972C4×D4—24no—
973C4×D4—24no—
974C4×D4—216no—
975C4×D4—216no—
976C4×D4—28no—
977C4×D4—28no—
978C4×D4—216no—
979C4×D4—28no—
980C4×D4—28no—
981C4×D4—24no—
982C4×D4—216no—
983C4×D4—216no—
984C4×D4—28no—
985C4×D4—28no—
986C4×D4—28no—
987C4×D4—24no—
988C4×D4—24no—
989C4×D4—28no—
990C4×D4—44no—
991C4×D4—42no—
992C4×D4C2×D418yes—
993C4×D4C2×D4116yes—
994C4×D4C2×D418yes—
995C4×D4C2×D4116yes—
996C4×D4#4118yes—
997C4×D4#4118yes—
998#117—216no—
999#117—28no—
1000#117—24no—
1001#117—216no—
1002#117—216no—
1003#117—28no—
1004#117—28no—
1005#117—28no—
1006#117—216no—
1007#117—216no—
1008#117—24no—
1009#117C2×D418yes—
1010#117C2×D4116yes—
1011C2×C4⋊C4—216no—
1012C2×C4⋊C4—216no—
1013C2×C4⋊C4—216no—
1014C2×C4⋊C4—216no—
1015C2×C4⋊C4—216no—
1016C2×C4⋊C4—28no—
1017C2×C4⋊C4—28no—
1018C2×C4⋊C4—28no—
1019C2×C4⋊C4—216no—
1020C2×C4⋊C4—28no—
1021C2×C4⋊C4—24no—
1022C2×C4⋊C4—28no—
1023C2×C4⋊C4—44no—
1024C2×C4⋊C4C2×D4116yes—
1025C2×C4⋊C4C2×D418yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2411yescharacteristic
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2411yescharacteristic
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2411yescharacteristic
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2411yescharacteristic
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C42—216no—
1152C2×C42—28no—
1153C2×C42—28no—
1154C2×C42—24no—
1155C2×C42—44no—
1156C2×C42—44no—
1157C2×C42—44no—
1158C2×C42C2414yes—
1159C2×C42C2414yes—
1160C2×C42C2414yes—
1161C2×C42C2412yes—
1162C2×C42C2411yescharacteristic
1163C2×C42C2412yes—
1164C2×C42C2412yes—
1165C2×C42C2411yescharacteristic
1166C2×C42C2412yes—
1167C2×C42C2412yes—
1168C2×C42C2414yes—
1169C2×C42C2412yes—
1170C2×C42C2414yes—
1171C2×C42C2412yes—
1172C2×C42C2411yescharacteristic
1173C2×C42C2412yes—
1174C2×C42C2411yescharacteristic
1175C2×C42C2412yes—
1176C2×C42C2411yescharacteristic
1177C2×C42C2412yes—
1178C2×C42C2411yescharacteristic
1179C2×C42C2411yescharacteristic
1180C2×C42C2412yes—
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183C2×C42C2412yes—
1184C2×C42C2412yes—
1185C2×C42C2411yescharacteristic
1186C2×C42C2412yes—
1187C2×C42C2412yes—
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190C2×C42C2412yes—
1191C2×C42C2412yes—
1192C2×C42C2412yes—
1193C2×C42C2412yes—
1194C2×C42C2412yes—
1195C2×C42C2412yes—
1196C2×C42C2411yescharacteristic
1197C2×C42C2412yes—
1198C2×C42C2412yes—
1199C2×C42C2411yescharacteristic
1200C2×C42C2411yescharacteristic
1201C2×C42C2411yescharacteristic
1202#95C2412yes—
1203#95C2411yescharacteristic
1204#95C2412yes—
1205#95C2411yescharacteristic
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2411yescharacteristic
1233#95C2411yescharacteristic
1234#95C2412yes—
1235#95C2411yescharacteristic
1236#95C2412yes—
1237#95C2411yescharacteristic
1238#95C2411yescharacteristic
1239#95C2411yescharacteristic
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2412yes—
1251#95C2414yes—
1252#95C2412yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2412yes—
1260C24C2512yes—
1261C24C2512yes—
1262C24C2511yescharacteristic
1263C24C2512yes—
1264#41—232no—
1265#41—432no—
1266#41—432no—
1267C2×Q8—24no—
1268C2×Q8—24no—
1269C2×Q8—24no—
1270C2×Q8—28no—
1271C2×Q8—22no—
1272C2×Q8—22no—
1273C2×Q8—24no—
1274C2×Q8—24no—
1275C2×Q8—24no—
1276C2×Q8—24no—
1277C2×Q8—24no—
1278C2×Q8—42no—
1279C2×Q8—44no—
1280C2×Q8—44no—
1281C2×Q8C22×D414yes—
1282C2×D4—24no—
1283C2×D4—24no—
1284C2×D4—24no—
1285C2×D4—28no—
1286C2×D4—28no—
1287C2×D4—28no—
1288C2×D4—28no—
1289C2×D4—28no—
1290C2×D4—28no—
1291C2×D4—24no—
1292C2×D4—24no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—24no—
1296C2×D4—22no—
1297C2×D4—24no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—42no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—42no—
1307C2×D4—42no—
1308C2×D4C22×D418yes—
1309C2×D4C22×D414yes—
1310C2×D4C2×#4114yes—
1311C2×D4C2×#4114yes—
1312C22×C4—24no—
1313C22×C4—24no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—28no—
1319C22×C4—28no—
1320C22×C4—28no—
1321C22×C4—28no—
1322C22×C4—28no—
1323C22×C4—28no—
1324C22×C4—28no—
1325C22×C4—28no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—24no—
1329C22×C4—24no—
1330C22×C4—24no—
1331C22×C4—22no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—28no—
1337C22×C4—24no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—24no—
1341C22×C4—28no—
1342C22×C4—22no—
1343C22×C4—24no—
1344C22×C4—42no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—42no—
1348C22×C4—42no—
1349C22×C4—42no—
1350C22×C4—42no—
1351C22×C4—42no—
1352C22×C4—42no—
1353C22×C4—44no—
1354C22×C4—42no—
1355C22×C4—42no—
1356C22×C4—44no—
1357C22×C4—44no—
1358C22×C4—42no—
1359C22×C4—41no—
1360C22×C4—41no—
1361C22×C4—42no—
1362C22×C4—44no—
1363C22×C4—42no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—42no—
1367C22×C4—44no—
1368C22×C4C22×D418yes—
1369C22×C4C22×D414yes—
1370C22×C4C22×D418yes—
1371C22×C4C22×D418yes—
1372C22×C4C22×D418yes—
1373C22×C4C2×#4118yes—
1374C22×C4C2×#4118yes—
1375C22×C4C2511yescharacteristic
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C22×C4C2512yes—
1379C22×C4C2512yes—
1380C22×C4C2511yescharacteristic
1381C22×C4C2512yes—
1382C22×C4C2514yes—
1383C22×C4C2512yes—
1384C22×C4C2514yes—
1385C22×C4C2512yes—
1386C22×C4C2512yes—
1387C22×C4C2514yes—
1388C22×C4C2514yes—
1389C22×C4C2512yes—
1390C22×C4C2511yescharacteristic
1391C22×C4C2512yes—
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2512yes—
1395C22×C4C2511yescharacteristic
1396C22×C4C2512yes—
1397C22×C4C2511yescharacteristic
1398C22×C4C2511yescharacteristic
1399C22×C4C2511yescharacteristic
1400C22×C4C2512yes—
1401C22×C4C2511yescharacteristic
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2511yescharacteristic
1405C22×C4C2511yescharacteristic
1406C4⋊C4—28no—
1407C4⋊C4—24no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—24no—
1412C4⋊C4—28no—
1413C4⋊C4—28no—
1414C4⋊C4—28no—
1415C4⋊C4—28no—
1416C4⋊C4—24no—
1417C4⋊C4—28no—
1418C4⋊C4—28no—
1419C4⋊C4—28no—
1420C4⋊C4—28no—
1421C4⋊C4—28no—
1422C4⋊C4—28no—
1423C4⋊C4—28no—
1424C4⋊C4—28no—
1425C4⋊C4—28no—
1426C4⋊C4—28no—
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—28no—
1430C4⋊C4—28no—
1431C4⋊C4—28no—
1432C4⋊C4—28no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—28no—
1436C4⋊C4—28no—
1437C4⋊C4—28no—
1438C4⋊C4—24no—
1439C4⋊C4—22no—
1440C4⋊C4—24no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—24no—
1444C4⋊C4—24no—
1445C4⋊C4—22no—
1446C4⋊C4—28no—
1447C4⋊C4—24no—
1448C4⋊C4—24no—
1449C4⋊C4—28no—
1450C4⋊C4—28no—
1451C4⋊C4—28no—
1452C4⋊C4—28no—
1453C4⋊C4—22no—
1454C4⋊C4—24no—
1455C4⋊C4—24no—
1456C4⋊C4—22no—
1457C4⋊C4—28no—
1458C4⋊C4—24no—
1459C4⋊C4—24no—
1460C4⋊C4—28no—
1461C4⋊C4—24no—
1462C4⋊C4—24no—
1463C4⋊C4—22no—
1464C4⋊C4—22no—
1465C4⋊C4—24no—
1466C4⋊C4—22no—
1467C4⋊C4—44no—
1468C4⋊C4—42no—
1469C4⋊C4—42no—
1470C4⋊C4—42no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
1473C4⋊C4C22×D414yes—
1474C4⋊C4C22×D418yes—
1475C4⋊C4C22×D414yes—
1476C4⋊C4C22×D414yes—
1477C4⋊C4C22×D418yes—
1478C4⋊C4C22×D418yes—
1479C4⋊C4C22×D414yes—
1480C4⋊C4C2×#4114yes—
1481C4⋊C4C2×#4114yes—
1482C4⋊C42−1+414yes—
1483C22⋊C4—24no—
1484C22⋊C4—28no—
1485C22⋊C4—28no—
1486C22⋊C4—28no—
1487C22⋊C4—28no—
1488C22⋊C4—24no—
1489C22⋊C4—24no—
1490C22⋊C4—24no—
1491C22⋊C4—24no—
1492C22⋊C4—24no—
1493C22⋊C4—28no—
1494C22⋊C4—24no—
1495C22⋊C4—28no—
1496C22⋊C4—28no—
1497C22⋊C4—28no—
1498C22⋊C4—28no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—22no—
1503C22⋊C4—24no—
1504C22⋊C4—22no—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—28no—
1510C22⋊C4—28no—
1511C22⋊C4—28no—
1512C22⋊C4—28no—
1513C22⋊C4—24no—
1514C22⋊C4—24no—
1515C22⋊C4—42no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—42no—
1520C22⋊C4—42no—
1521C22⋊C4—42no—
1522C22⋊C4—44no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4C22×D418yes—
1526C22⋊C4C22×D414yes—
1527C22⋊C4C22×D418yes—
1528C22⋊C4C22×D414yes—
1529C22⋊C4C2×#4118yes—
1530C22⋊C4C2×#4118yes—
1531C42—24no—
1532C42—28no—
1533C42—24no—
1534C42—28no—
1535C42—24no—
1536C42—28no—
1537C42—28no—
1538C42—28no—
1539C42—24no—
1540C42—22no—
1541C42—24no—
1542C42—22no—
1543C42—24no—
1544C42—24no—
1545C42—22no—
1546C42—24no—
1547C42—24no—
1548C42—22no—
1549C42—22no—
1550C42—22no—
1551C42—22no—
1552C42—24no—
1553C42—22no—
1554C42—24no—
1555C42—42no—
1556C42—42no—
1557C42—42no—
1558C42—42no—
1559C42—42no—
1560C42—42no—
1561C42—41no—
1562C42—42no—
1563C42—41no—
1564C42—42no—
1565C42—41no—
1566C42—42no—
1567C42—41no—
1568C42—42no—
1569C42C22×D414yes—
1570C42C22×D418yes—
1571C42C22×D418yes—
1572C42C22×D414yes—
1573C42C2×#4114yes—
1574C42C2×#4114yes—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—22no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—22no—
1586C23—22no—
1587C23—22no—
1588C23—22no—
1589C23—22no—
1590C23—22no—
1591C23—22no—
1592C23—22no—
1593C23—22no—
1594C23—22no—
1595C23—22no—
1596C23—22no—
1597C23—22no—
1598C23—22no—
1599C23C23×D412yes—
1600C23C23×D414yes—
1601C23C22×#4114yes—
1602C23C22×#4114yes—
1603C23C2611yescharacteristic
1604Q8—28no—
1605Q8—48no—
1606Q8—48no—
1607Q8—48no—
1608Q8—88no—
1609D4—216no—
1610D4—48no—
1611D4—416no—
1612D4—416no—
1613D4—44no—
1614D4—44no—
1615D4—84no—
1616D4—84no—
1617D4—84no—
1618D4#532116yes—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—216no—
1648C2×C4—28no—
1649C2×C4—216no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—24no—
1653C2×C4—22no—
1654C2×C4—24no—
1655C2×C4—24no—
1656C2×C4—24no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—24no—
1670C2×C4—24no—
1671C2×C4—24no—
1672C2×C4—24no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—24no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—24no—
1682C2×C4—22no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—24no—
1689C2×C4—22no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—24no—
1694C2×C4—22no—
1695C2×C4—48no—
1696C2×C4—48no—
1697C2×C4—48no—
1698C2×C4—48no—
1699C2×C4—48no—
1700C2×C4—416no—
1701C2×C4—416no—
1702C2×C4—416no—
1703C2×C4—48no—
1704C2×C4—48no—
1705C2×C4—44no—
1706C2×C4—88no—
1707C2×C4—84no—
1708C2×C4—84no—
1709C2×C4—82no—
1710C2×C4—88no—
1711C2×C4—84no—
1712C2×C4—84no—
1713C2×C4C23×D412yes—
1714C2×C4C23×D412yes—
1715C2×C4C23×D414yes—
1716C2×C4C23×D412yes—
1717C2×C4C23×D414yes—
1718C2×C4C23×D414yes—
1719C2×C4C23×D412yes—
1720C2×C4C23×D412yes—
1721C2×C4C23×D412yes—
1722C2×C4C22×#4112yes—
1723C2×C4C22×#4114yes—
1724C2×C4C22×#4112yes—
1725C2×C4C22×#4114yes—
1726C2×C4C22×#4112yes—
1727C2×C4C22×#4112yes—
1728C2×C4C22×#4112yes—
1729C2×C4C22×#4112yes—
1730C2×C4C2×2−1+414yes—
1731C2×C4C2×2−1+412yes—
1732C2×C4#58512yes—
1733C22—24no—
1734C22—24no—
1735C22—24no—
1736C22—24no—
1737C22—24no—
1738C22—24no—
1739C22—22no—
1740C22—22no—
1741C22—22no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—42no—
1747C22—42no—
1748C22—42no—
1749C22—42no—
1750C22—42no—
1751C22—42no—
1752C22—42no—
1753C22—42no—
1754C22—42no—
1755C22—42no—
1756C22—42no—
1757C22—42no—
1758C22—42no—
1759C22—42no—
1760C22C2×#53218yes—
1761C22C24×D411yescharacteristic
1762C22C23×#4111yescharacteristic
1763C22C23×#4111yescharacteristic
1764C22C22×2−1+411yescharacteristic
1765C22C2×#58511yescharacteristic
1766C222−1+611yescharacteristic
1767C222−1+611yescharacteristic
1768C4—22no—
1769C4—24no—
1770C4—22no—
1771C4—24no—
1772C4—22no—
1773C4—24no—
1774C4—24no—
1775C4—22no—
1776C4—22no—
1777C4—22no—
1778C4—24no—
1779C4—22no—
1780C4—22no—
1781C4—24no—
1782C4—42no—
1783C4—44no—
1784C4—42no—
1785C4—42no—
1786C4—41no—
1787C4—44no—
1788C4—42no—
1789C4—41no—
1790C4—41no—
1791C4—42no—
1792C4—41no—
1793C4—42no—
1794C4—42no—
1795C4—44no—
1796C4—44no—
1797C4C2×#53214yes—
1798C4#351514yescomplemented
1799C2—28no—
1800C2—42no—
1801C2—82no—
1802C2—82no—
1803C2C22×#53211yescharacteristic
1804C2C2×#351511yescharacteristic
1805C2#6286111yescharacteristic
1806C2#6298811yescharacteristic
1807C2#6299111yescharacteristic
1808C2D4×2−1+411yescharacteristic
1809C2#6300111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3515C2semidirect
2. #36561C2semidirect
3. #36560C2semidirect
4. #36270C2semidirect
5. #36265C2semidirect
6. #36265C2semidirect
7. #36263C2semidirect
8. #36261C2semidirect
9. #36259C2semidirect
10. #36259C2semidirect
11. #36186C2semidirect
12. #36181C2semidirect
13. #36179C2semidirect
14. #36045C2semidirect
15. #36042C2semidirect
16. #36024C2semidirect
17. #36020C2semidirect
18. #35949C2semidirect
19. #35773C2semidirect
20. #35637C2semidirect
21. #35635C2semidirect
22. #35468C2semidirect
23. #35464C2semidirect
24. #35319C2semidirect
25. #35209C2semidirect
26. #35008C2semidirect
27. #35006C2semidirect
28. #34929C2semidirect
29. #34914C2semidirect
30. #34763C2semidirect
31. C2×#2506C2semidirect
32. #34308C2semidirect
33. #34289C2semidirect
34. C4×#547C2semidirect
35. C4×#520C2semidirect
401. #520D4semidirect
1798. C4#3515semidirect

Maximal subgroups

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

subgroupindex
C2×#35152
#365612
#365602
#362702
#362652
#362632
#362612
#362592
#361862
#361812
#361792
#360452
#360422
#360242
#360202
#359492
#357732
#356372
#356352
#354682
#354642
#353192
#352092
#350082
#350062
#349292
#349142
#347632
C2×#25062
#343082
#342892
C4×#5472
C4×#5202