Finite Group Databasebeta

← #7631632

Subgroups — #7631632

Order 512.

7288 conjugacy classes of subgroups.

The subgroup lattice has 1860 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3521C212yesmaximal, complemented
2#36473C211yesmaximal, characteristic, complemented
3#36468C211yesmaximal, characteristic, complemented
4#36272C211yesmaximal, characteristic, complemented
5#36263C212yesmaximal, complemented
6#36261C211yesmaximal, characteristic, complemented
7#36188C211yesmaximal, characteristic, complemented
8#36183C212yesmaximal, complemented
9#36183C212yesmaximal, complemented
10#36181C212yesmaximal, complemented
11#36179C211yesmaximal, characteristic, complemented
12#36153C211yesmaximal, characteristic, complemented
13#36153C211yesmaximal, characteristic, complemented
14#36045C214yesmaximal, complemented
15#36042C212yesmaximal, complemented
16#36012C214yesmaximal, complemented
17#36009C212yesmaximal, complemented
18#35856C212yesmaximal, complemented
19#35834C212yesmaximal, complemented
20#35636C212yesmaximal, complemented
21#35635C212yesmaximal, complemented
22#35467C214yesmaximal, complemented
23#35464C214yesmaximal, complemented
24#35319C211yesmaximal, characteristic, complemented
25#35170C211yesmaximal, characteristic, complemented
26#35008C212yesmaximal, complemented
27#35005C212yesmaximal, complemented
28#34932C211yesmaximal, characteristic, complemented
29#34914C211yesmaximal, characteristic, complemented
30#34763C212yesmaximal, complemented
31C2×#2496C212yesmaximal, complemented
32#34308C211yesmaximal, characteristic, complemented
33#34289C212yesmaximal, complemented
34C4×#547C211yesmaximal, characteristic, complemented
35C4×#518C211yesmaximal, characteristic, complemented
36#3521—232no—
37C2×#556C2212yes—
38C2×#556C2212yes—
39C2×#554C2212yes—
40C2×#553C2212yes—
41C2×#553C2214yes—
42C2×#552C2214yes—
43C2×#552C2212yes—
44C2×#551C2214yes—
45C2×#551C2214yes—
46C2×#547C2211yescharacteristic
47C2×#547C2211yescharacteristic
48C2×#547C2212yes—
49C2×#547C2212yes—
50C2×#546C2212yes—
51C2×#546C2212yes—
52C2×#542C2212yes—
53C2×#541C2212yes—
54C2×#539C2214yes—
55C2×#538C2214yes—
56C2×#529C2212yes—
57C2×#529C2212yes—
58C2×#529C2214yes—
59C22×#126C2214yes—
60C2×#520C2212yes—
61C2×#518C2211yescharacteristic
62C2×#518C2211yescharacteristic
63C2×C4×#41C2212yes—
64C22×C4×D4C2211yescharacteristic
65#2868C2211yescharacteristic, complemented
66#2860C2212yescomplemented
67#2859C2212yescomplemented
68#2859C2211yescharacteristic, complemented
69#2857C2211yescharacteristic
70#2857C2211yescharacteristic
71#2857C2212yescomplemented
72#2857C2212yescomplemented
73#2857C2212yescomplemented
74#2856C2212yescomplemented
75#2854C2212yescomplemented
76#2854C2212yescomplemented
77#2847C2212yes—
78#2847C2212yes—
79#2664C2214yescomplemented
80#2663C2214yescomplemented
81#2663C2214yescomplemented
82#2642C2212yescomplemented
83#2639C2214yescomplemented
84#2621C2212yes—
85#2617C2214yes—
86#2611C2214yescomplemented
87#2604C2214yescomplemented
88#2602C2214yescomplemented
89#2602C2214yescomplemented
90#2601C2214yescomplemented
91#2591C2214yescomplemented
92#2584C2212yescomplemented
93#2583C2214yescomplemented
94#2568C2212yescomplemented
95#2565C2214yescomplemented
96#2564C2214yescomplemented
97#2564C2214yescomplemented
98#2562C2212yescomplemented
99#2560C2212yescomplemented
100#2559C2214yes—
101#2559C2212yes—
102#2559C2214yescomplemented
103#2559C2214yescomplemented
104#2559C2214yescomplemented
105#2558C2214yescomplemented
106#2558C2212yescomplemented
107#2557C2212yes—
108#2557C2214yes—
109#2557C2214yescomplemented
110#2556C2214yescomplemented
111#2553C2214yes—
112#2553C2214yes—
113#2553C2214yes—
114#2553C2214yescomplemented
115#2553C2214yescomplemented
116#2552C2211yescharacteristic, complemented
117#2551C2211yescharacteristic, complemented
118#2550C2212yescomplemented
119#2549C2214yescomplemented
120#2547C2212yes—
121#2547C2211yescharacteristic
122#2547C2211yescharacteristic
123#2543C2214yes—
124#2542C2212yescomplemented
125#2542C2212yescomplemented
126#2542C2211yescharacteristic, complemented
127#2542C2211yescharacteristic, complemented
128#2537C2211yescharacteristic
129#2537C2211yescharacteristic
130#2535C2212yes—
131#2521C2214yes—
132#2521C2214yes—
133#2521C2214yes—
134#2521C2214yescomplemented
135#2521C2214yescomplemented
136#2519C2214yescomplemented
137#2512C2211yescharacteristic, complemented
138#2506C2214yescomplemented
139#2506C2211yescharacteristic, complemented
140#2506C2212yescomplemented
141#2506C2212yescomplemented
142#2506C2212yescomplemented
143#2506C2212yescomplemented
144#2503C2214yescomplemented
145#2501C2212yescomplemented
146#2501C2212yescomplemented
147#2501C2214yescomplemented
148#2501C2214yescomplemented
149#2499C2214yescomplemented
150#2499C2214yescomplemented
151#2498C2214yescomplemented
152#2498C2214yescomplemented
153#2496C2214yes—
154#2496C2212yes—
155#2496C2212yes—
156#2496C2212yes—
157#2496C2211yescharacteristic
158#2496C2212yes—
159#2496C2212yes—
160#2496C2214yes—
161#2496C2212yes—
162#2496C2214yescomplemented
163#2496C2214yescomplemented
164#2496C2214yescomplemented
165#2496C2212yescomplemented
166#2496C2212yescomplemented
167#2496C2214yescomplemented
168#2496C2212yescomplemented
169#2496C2212yescomplemented
170#2496C2212yescomplemented
171#2492C2212yescomplemented
172#2492C2212yescomplemented
173#2491C2211yescharacteristic
174#2491C2212yes—
175#2491C2212yescomplemented
176#2489C2212yescomplemented
177#2489C2212yescomplemented
178#2488C2214yescomplemented
179#2488C2214yescomplemented
180#2488C2214yescomplemented
181#2488C2214yescomplemented
182#2486C2212yes—
183#2486C2212yes—
184#2486C2214yes—
185#2452C2211yescharacteristic, complemented
186#2445C2211yescharacteristic, complemented
187#2440C2212yescomplemented
188#2440C2212yescomplemented
189#2428C2211yescharacteristic
190#2428C2212yescomplemented
191#2427C2212yes—
192#2427C2212yes—
193#2427C2212yes—
194#2427C2212yes—
195#2425C2214yes—
196#2425C2214yes—
197#2425C2214yes—
198#2425C2214yes—
199#2422C2211yescharacteristic
200#2422C2212yes—
201#2422C2212yescomplemented
202#2417C2212yes—
203#2417C2212yes—
204#2416C2212yes—
205#2416C2212yes—
206#2415C2212yes—
207#2415C2212yes—
208#2412C2214yes—
209#2412C2214yes—
210#2412C2214yes—
211#2412C2214yes—
212#2398C2212yescomplemented
213#2396C2214yescomplemented
214#2395C2214yescomplemented
215#2395C2214yescomplemented
216C2×#400C2214yescomplemented
217#2392C2212yes—
218C2×#397C2214yes—
219#2365C2211yescharacteristic, complemented
220#2365C2211yescharacteristic, complemented
221#2365C2212yescomplemented
222#2364C2214yescomplemented
223#2362C2212yescomplemented
224#2362C2212yescomplemented
225#2361C2212yescomplemented
226#2361C2212yescomplemented
227#2360C2212yescomplemented
228#2360C2212yescomplemented
229#2359C2214yescomplemented
230#2359C2214yescomplemented
231#2359C2214yescomplemented
232#2359C2214yescomplemented
233#2354C2211yescharacteristic, complemented
234#2352C2212yescomplemented
235#2349C2212yes—
236D4×C4⋊C4C2211yescharacteristic
237D4×C4⋊C4C2211yescharacteristic
238D4×C4⋊C4C2211yescharacteristic, complemented
239#2344C2212yescomplemented
240#2344C2212yescomplemented
241#2344C2214yescomplemented
242#2339C2212yes—
243#2339C2212yes—
244#2339C2212yes—
245#2339C2212yes—
246#2327C2212yescomplemented
247#2325C2214yescomplemented
248#2323C2212yescomplemented
249#2323C2212yescomplemented
250#2322C2214yescomplemented
251#2322C2214yescomplemented
252C4×C4⋊Q8C2211yescharacteristic, complemented
253C4×C4⋊Q8C2212yescomplemented
254C4×C4⋊Q8C2211yescharacteristic, complemented
255C4×C4⋊Q8C2211yescharacteristic, complemented
256C4×#127C2211yescharacteristic, complemented
257C4×C22⋊Q8C2212yescomplemented
258C4×C22⋊Q8C2212yescomplemented
259C4×#123C2214yescomplemented
260C4×#123C2214yescomplemented
261C4×#121C2211yescharacteristic
262C4×#121C2211yescharacteristic
263C4×#121C2212yescomplemented
264C4×#121C2212yescomplemented
265C4×#121C2212yescomplemented
266C4×#121C2212yescomplemented
267#2293C2211yescharacteristic, complemented
268#2293C2212yescomplemented
269C2×#389C2212yescomplemented
270C2×#389C2212yescomplemented
271#2290C2212yescomplemented
272C2×#387C2214yescomplemented
273#2285C2212yescomplemented
274#2285C2212yescomplemented
275C2×#384C2212yescomplemented
276C2×#380C2212yes—
277C2×#380C2212yes—
278#2275C2211yescharacteristic
279#2275C2211yescharacteristic
280#2275C2212yes—
281#2275C2211yescharacteristic
282#2275C2212yes—
283#2275C2211yescharacteristic
284#2274C2211yescharacteristic
285#2274C2211yescharacteristic
286#2273C2212yes—
287#2273C2212yes—
288C42×D4C2211yescharacteristic
289C42×D4C2211yescharacteristic
290C42×D4C2212yes—
291C42×D4C2211yescharacteristic
292C42×D4C2211yescharacteristic
293C42×D4C2212yes—
294C42×D4C2211yescharacteristic, complemented
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2212yescomplemented
298C2×C4×C22⋊C4C2212yes—
299C2×C4×C22⋊C4C2212yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×D4C2311yescharacteristic
303C24×C4C2312yes—
304#556—216no—
305#556—216no—
306#554—216no—
307#553—232no—
308#553—216no—
309#552—232no—
310#552—216no—
311#551—232no—
312#551—232no—
313#547—216no—
314#547—28no—
315#547—28no—
316#547—216no—
317#546—216no—
318#546—216no—
319#542—216no—
320#541—216no—
321#539—232no—
322#538—232no—
323C2×C4⋊Q8C2311yescharacteristic
324C2×C4⋊Q8C2311yescharacteristic
325C2×C4⋊Q8C2312yes—
326C2×C4⋊Q8C2312yes—
327C2×C4⋊Q8C2312yes—
328C2×C4⋊Q8C2311yescharacteristic
329C2×C4⋊Q8C2312yes—
330C2×#127C2311yescharacteristic
331#529—232no—
332#529—216no—
333#529—216no—
334C2×#126—232no—
335C2×#126C2312yes—
336C2×#126C2314yes—
337C2×#126C2312yes—
338C2×#126C2314yes—
339C2×#126C2314yes—
340C2×#126C2314yes—
341C2×#126C2314yes—
342C2×#126C2314yes—
343C2×#126C2314yes—
344C2×#126C2314yes—
345C2×#126C2314yes—
346C2×#126C2314yes—
347C2×#125C2312yes—
348C2×#125C2314yes—
349C2×#125C2314yes—
350C2×#125C2312yes—
351C2×#125C2312yes—
352C2×#125C2314yes—
353C2×#124C2314yes—
354C2×#124C2312yes—
355C2×#124C2312yes—
356C2×#124C2314yes—
357C2×#124C2312yes—
358C2×#123C2314yes—
359C2×#123C2314yes—
360C2×#123C2314yes—
361C2×#123C2314yes—
362C2×#123C2314yes—
363C2×#123C2314yes—
364C2×#123C2312yes—
365C2×#123C2314yes—
366C2×#123C2314yes—
367C2×#123C2314yes—
368C2×#123C2312yes—
369C2×#123C2314yes—
370C2×#123C2314yes—
371C2×#123C2314yes—
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2314yes—
374C2×C22⋊Q8C2314yes—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2314yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2314yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2314yes—
385C2×C22⋊Q8C2312yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2314yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2314yes—
394C2×#121C2314yes—
395C2×#121C2312yes—
396C2×#121C2311yescharacteristic
397C2×#121C2311yescharacteristic
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#120C2314yes—
401C2×#120C2314yes—
402#520—216no—
403#518—28no—
404#518D4116yescomplemented
405C4×#41—216no—
406C2×C4×Q8C2314yes—
407C2×C4×Q8C2312yes—
408C2×C4×Q8C2312yes—
409C2×C4×Q8C2312yes—
410C2×C4×Q8C2312yes—
411C2×C4×Q8C2312yes—
412C2×C4×D4—28no—
413C2×C4×D4C2312yes—
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2312yes—
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2314yes—
418C2×C4×D4C2314yes—
419C2×C4×D4C2314yes—
420C2×C4×D4C2314yes—
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2314yes—
426C2×C4×D4C2314yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2311yescharacteristic
432C2×C4×D4C2311yescharacteristic
433C2×C4×D4C2312yes—
434C2×C4×D4C2311yescharacteristic
435C2×C4×D4C2312yes—
436C2×C4×D4C2311yescharacteristic
437C2×C4×D4C2312yes—
438C2×C4×D4C2311yescharacteristic
439C2×C4×D4C2311yescharacteristic
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2312yes—
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2312yes—
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2311yescharacteristic
447C2×C4×D4C2311yescharacteristic
448C2×#117C2312yes—
449C2×#117C2314yes—
450C2×#117C2314yes—
451C2×#117C2314yes—
452C2×#117C2312yes—
453C2×#117C2311yescharacteristic
454C2×#117C2314yes—
455C2×#117C2314yes—
456C2×#117C2311yescharacteristic
457C2×#117C2311yescharacteristic
458C2×#117C2311yescharacteristic
459C22×C4⋊C4C2314yes—
460C22×C4⋊C4C2314yes—
461C22×C4⋊C4C2314yes—
462C22×C4⋊C4C2312yes—
463C22×C4⋊C4C2312yes—
464C22×C4⋊C4C2312yes—
465C22×C4⋊C4C2314yes—
466C22×C4⋊C4C2311yescharacteristic
467C22×C4⋊C4C2312yes—
468C22×C4⋊C4C2312yes—
469C22×C22⋊C4C2312yes—
470C22×C22⋊C4C2314yes—
471C22×C22⋊C4C2314yes—
472C22×C22⋊C4C2312yes—
473C22×C22⋊C4C2312yes—
474C22×C22⋊C4C2312yes—
475C22×C22⋊C4C2312yes—
476C22×C42C2311yescharacteristic
477C22×C42C2314yes—
478C22×C42C2312yes—
479C22×C42C2312yes—
480C22×C42C2312yes—
481C22×C42C2312yes—
482C22×C42C2312yes—
483#400C2314yes—
484#400C2314yes—
485#400C2314yes—
486#400C2314yes—
487#400C2314yes—
488#400C2314yes—
489#400C2314yes—
490#400C2314yes—
491#400C2314yes—
492#400C2312yes—
493#400C2314yes—
494#400C2314yes—
495#400C2312yes—
496#399C2314yes—
497#399C2314yes—
498#399C2314yes—
499#399C2314yes—
500#399C2314yes—
501#399C2314yes—
502#398C2312yes—
503#398C2314yes—
504#398C2314yes—
505#398C2314yes—
506#398C2314yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#397C2312yes—
511#397C2314yes—
512#397C2314yes—
513#397C2314yes—
514#397C2314yes—
515#397C2314yes—
516#397C2314yes—
517#397C2314yes—
518#397C2312yes—
519#397C2314yes—
520#397C2314yes—
521#397C2314yes—
522#397C2314yes—
523#397C2312yes—
524#397C2314yes—
525#397C2314yes—
526#397C2314yes—
527#397C2314yes—
528#396C2314yes—
529#396C2314yes—
530#396C2312yes—
531#396C2312yes—
532#395C2314yes—
533#395C2314yes—
534#395C2314yes—
535#394C2312yes—
536#394C2314yes—
537#394C2312yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2312yes—
547#394C2312yes—
548#394C2312yes—
549#393C2312yes—
550#393C2314yes—
551#393C2314yes—
552#393C2312yes—
553#392C2314yes—
554#392C2312yes—
555#391C2312yes—
556#391C2312yes—
557#391C2312yes—
558#391C2314yes—
559#391C2314yes—
560#391C2314yes—
561#391C2312yes—
562#391C2312yes—
563#391C2312yes—
564#391C2312yes—
565#391C2314yes—
566#391C2312yes—
567#391C2312yes—
568#390C2312yes—
569#390C2311yescharacteristic
570#390C2311yescharacteristic
571#390C2312yes—
572#390C2311yescharacteristic
573#390C2312yes—
574#390C2312yes—
575#390C2314yes—
576#390C2312yes—
577#390C2314yes—
578#390C2311yescharacteristic
579#390C2311yescharacteristic
580#390C2311yescharacteristic
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2311yescharacteristic
587#389C2314yes—
588#389C2312yes—
589#389C2312yes—
590#389C2311yescharacteristic
591#389C2314yes—
592#389C2314yes—
593#389C2314yes—
594#389C2312yes—
595#389C2312yes—
596#389C2314yes—
597#389C2312yes—
598#389C2314yes—
599#389C2314yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2311yescharacteristic
606#389C2312yes—
607#389C2314yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2311yescharacteristic
615#389C2314yes—
616#389C2314yes—
617#389C2312yes—
618#389C2311yescharacteristic
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2312yes—
640#388C2312yes—
641#388C2314yes—
642#388C2312yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#386C2312yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2312yes—
679#386C2312yes—
680#386C2312yes—
681#386C2314yes—
682#386C2314yes—
683#385C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#384C2311yescharacteristic
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2311yescharacteristic
698#384C2312yes—
699#384C2314yes—
700#384C2312yes—
701#384C2312yes—
702#384C2312yes—
703#384C2312yes—
704#384C2312yes—
705#384C2312yes—
706#384C2314yes—
707#382C2314yes—
708#382C2314yes—
709#382C2312yes—
710#382C2314yes—
711#381C2314yes—
712#381C2314yes—
713#381C2314yes—
714#381C2314yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2314yes—
720#380C2314yes—
721#380C2314yes—
722#380C2314yes—
723#380C2314yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2312yes—
739#380C2311yescharacteristic
740#380C2312yes—
741#380C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2314yes—
824#376C2311yescharacteristic
825#376C2312yes—
826#376C2311yescharacteristic
827C2×#95C2312yes—
828C2×#95C2312yes—
829C2×#95C2312yes—
830C2×#95C2314yes—
831C2×#95C2314yes—
832C2×#95C2314yes—
833C2×#95C2314yes—
834C2×#95C2314yes—
835C2×#95C2312yes—
836C43C2311yescharacteristic
837C43C2311yescharacteristic
838C43C2312yes—
839C25C2412yes—
840C2×#41—28no—
841C2×#41—28no—
842C2×#41—28no—
843C2×#41—28no—
844C2×#41—28no—
845C2×#41—28no—
846C22×Q8C2412yes—
847C22×Q8C2412yes—
848C22×Q8C2412yes—
849C22×Q8C2414yes—
850C22×D4—24no—
851C22×D4—24no—
852C22×D4C2×D418yes—
853C22×D4C2411yescharacteristic
854C22×D4C2411yescharacteristic
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2412yes—
858C22×D4C2411yescharacteristic
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2411yescharacteristic
866C23×C4—28no—
867C23×C4—44no—
868C23×C4—44no—
869C23×C4C2414yes—
870C23×C4C2414yes—
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2412yes—
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2412yes—
877C23×C4C2411yescharacteristic
878C23×C4C2414yes—
879C23×C4C2414yes—
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2412yes—
883C23×C4C2412yes—
884C23×C4C2414yes—
885C23×C4C2412yes—
886C23×C4C2412yes—
887C23×C4C2412yes—
888C23×C4C2412yes—
889C23×C4C2412yes—
890C23×C4C2412yes—
891C23×C4C2412yes—
892C23×C4C2412yes—
893C23×C4C2412yes—
894C4⋊Q8—28no—
895C4⋊Q8—28no—
896C4⋊Q8—24no—
897C4⋊Q8—24no—
898C4⋊Q8—28no—
899C4⋊Q8—42no—
900C4⋊Q8—44no—
901#127—42no—
902#126—28no—
903#126—28no—
904#126—216no—
905#126—216no—
906#126—216no—
907#126—216no—
908#126—216no—
909#126—216no—
910#126—216no—
911#126—216no—
912#126—216no—
913#126—216no—
914#125—216no—
915#125—28no—
916#125—28no—
917#125—216no—
918#125—216no—
919#125—28no—
920#124—28no—
921#124—28no—
922#124—216no—
923#124—28no—
924#124—216no—
925#123—216no—
926#123—216no—
927#123—216no—
928#123—216no—
929#123—28no—
930#123—216no—
931#123—216no—
932#123—28no—
933#123—216no—
934#123—216no—
935#123—216no—
936#123—216no—
937#123—216no—
938#123—216no—
939C22⋊Q8—216no—
940C22⋊Q8—216no—
941C22⋊Q8—28no—
942C22⋊Q8—28no—
943C22⋊Q8—216no—
944C22⋊Q8—28no—
945C22⋊Q8—28no—
946C22⋊Q8—28no—
947C22⋊Q8—28no—
948C22⋊Q8—28no—
949C22⋊Q8—28no—
950C22⋊Q8—28no—
951C22⋊Q8—216no—
952C22⋊Q8—216no—
953#121—28no—
954#121—216no—
955#121—216no—
956#121—28no—
957#121—216no—
958#121—28no—
959#121—28no—
960#121—216no—
961#121—28no—
962#121—216no—
963#121—44no—
964#121—44no—
965#121—42no—
966#121—42no—
967#120—216no—
968#120—216no—
969C4×Q8—28no—
970C4×Q8—28no—
971C4×Q8—28no—
972C4×Q8—28no—
973C4×Q8—216no—
974C4×Q8—28no—
975C4×D4—28no—
976C4×D4—28no—
977C4×D4—24no—
978C4×D4—24no—
979C4×D4—216no—
980C4×D4—216no—
981C4×D4—28no—
982C4×D4—28no—
983C4×D4—216no—
984C4×D4—216no—
985C4×D4—28no—
986C4×D4—28no—
987C4×D4—24no—
988C4×D4—24no—
989C4×D4—216no—
990C4×D4—216no—
991C4×D4—28no—
992C4×D4—28no—
993C4×D4—28no—
994C4×D4—24no—
995C4×D4—24no—
996C4×D4—24no—
997C4×D4—24no—
998C4×D4—28no—
999C4×D4—42no—
1000C4×D4—44no—
1001C4×D4—42no—
1002C4×D4C2×D418yes—
1003C4×D4C2×D4116yes—
1004C4×D4C2×D418yes—
1005C4×D4C2×D418yes—
1006C4×D4C2×D4116yes—
1007C4×D4C2×D418yes—
1008C4×D4#4118yes—
1009C4×D4#4118yes—
1010#117—216no—
1011#117—216no—
1012#117—28no—
1013#117—24no—
1014#117—216no—
1015#117—216no—
1016#117—28no—
1017#117—216no—
1018#117—24no—
1019#117C2×D418yes—
1020#117C2×D418yes—
1021C2×C4⋊C4—216no—
1022C2×C4⋊C4—216no—
1023C2×C4⋊C4—216no—
1024C2×C4⋊C4—28no—
1025C2×C4⋊C4—28no—
1026C2×C4⋊C4—216no—
1027C2×C4⋊C4—28no—
1028C2×C4⋊C4—24no—
1029C2×C4⋊C4—44no—
1030C2×C4⋊C4—44no—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C22⋊C4—216no—
1096C2×C22⋊C4—216no—
1097C2×C22⋊C4—28no—
1098C2×C22⋊C4—28no—
1099C2×C22⋊C4—28no—
1100C2×C22⋊C4C2×D4116yes—
1101C2×C22⋊C4C2×D4116yes—
1102C2×C22⋊C4C2411yescharacteristic
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2411yescharacteristic
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2411yescharacteristic
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C42—216no—
1162C2×C42—28no—
1163C2×C42—24no—
1164C2×C42—44no—
1165C2×C42—44no—
1166C2×C42—44no—
1167C2×C42—44no—
1168C2×C42C2412yes—
1169C2×C42C2414yes—
1170C2×C42C2414yes—
1171C2×C42C2414yes—
1172C2×C42C2414yes—
1173C2×C42C2412yes—
1174C2×C42C2411yescharacteristic
1175C2×C42C2412yes—
1176C2×C42C2412yes—
1177C2×C42C2411yescharacteristic
1178C2×C42C2411yescharacteristic
1179C2×C42C2411yescharacteristic
1180C2×C42C2414yes—
1181C2×C42C2412yes—
1182C2×C42C2411yescharacteristic
1183C2×C42C2411yescharacteristic
1184C2×C42C2412yes—
1185C2×C42C2411yescharacteristic
1186C2×C42C2411yescharacteristic
1187C2×C42C2412yes—
1188C2×C42C2412yes—
1189C2×C42C2411yescharacteristic
1190C2×C42C2411yescharacteristic
1191C2×C42C2412yes—
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194C2×C42C2412yes—
1195C2×C42C2412yes—
1196C2×C42C2412yes—
1197C2×C42C2412yes—
1198C2×C42C2412yes—
1199C2×C42C2412yes—
1200C2×C42C2412yes—
1201C2×C42C2412yes—
1202C2×C42C2411yescharacteristic
1203C2×C42C2412yes—
1204C2×C42C2411yescharacteristic
1205C2×C42C2411yescharacteristic
1206C2×C42C2411yescharacteristic
1207#95C2411yescharacteristic
1208#95C2412yes—
1209#95C2411yescharacteristic
1210#95C2411yescharacteristic
1211#95C2412yes—
1212#95C2411yescharacteristic
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2411yescharacteristic
1242#95C2412yes—
1243#95C2411yescharacteristic
1244#95C2411yescharacteristic
1245#95C2411yescharacteristic
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2412yes—
1256#95C2414yes—
1257#95C2412yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2412yes—
1265C24—24no—
1266C24—24no—
1267C24—42no—
1268C24—42no—
1269C24—42no—
1270C24—42no—
1271C24C22×D418yes—
1272C24C2512yes—
1273C24C2512yes—
1274C24C2511yescharacteristic
1275C24C2512yes—
1276C24C2512yes—
1277#41—432no—
1278#41—432no—
1279C2×Q8—24no—
1280C2×Q8—24no—
1281C2×Q8—24no—
1282C2×Q8—28no—
1283C2×Q8—24no—
1284C2×Q8—24no—
1285C2×Q8—24no—
1286C2×Q8—24no—
1287C2×Q8—42no—
1288C2×Q8—44no—
1289C2×Q8—42no—
1290C2×Q8—44no—
1291C2×D4—24no—
1292C2×D4—24no—
1293C2×D4—232no—
1294C2×D4—28no—
1295C2×D4—28no—
1296C2×D4—28no—
1297C2×D4—28no—
1298C2×D4—28no—
1299C2×D4—28no—
1300C2×D4—24no—
1301C2×D4—24no—
1302C2×D4—28no—
1303C2×D4—28no—
1304C2×D4—24no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—24no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—44no—
1315C2×D4—42no—
1316C2×D4—44no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4—44no—
1323C2×D4—42no—
1324C2×D4—44no—
1325C2×D4—42no—
1326C2×D4C22×D418yes—
1327C2×D4C22×D414yes—
1328C2×D4C22×D414yes—
1329C2×D4C2×#4114yes—
1330C2×D4C2×#4114yes—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—28no—
1336C22×C4—28no—
1337C22×C4—28no—
1338C22×C4—28no—
1339C22×C4—28no—
1340C22×C4—28no—
1341C22×C4—28no—
1342C22×C4—28no—
1343C22×C4—24no—
1344C22×C4—24no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—22no—
1348C22×C4—24no—
1349C22×C4—24no—
1350C22×C4—24no—
1351C22×C4—24no—
1352C22×C4—24no—
1353C22×C4—24no—
1354C22×C4—24no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—24no—
1358C22×C4—24no—
1359C22×C4—28no—
1360C22×C4—22no—
1361C22×C4—24no—
1362C22×C4—24no—
1363C22×C4—24no—
1364C22×C4—24no—
1365C22×C4—42no—
1366C22×C4—42no—
1367C22×C4—42no—
1368C22×C4—42no—
1369C22×C4—42no—
1370C22×C4—42no—
1371C22×C4—42no—
1372C22×C4—42no—
1373C22×C4—42no—
1374C22×C4—42no—
1375C22×C4—42no—
1376C22×C4—42no—
1377C22×C4—42no—
1378C22×C4—44no—
1379C22×C4—44no—
1380C22×C4—44no—
1381C22×C4—42no—
1382C22×C4—42no—
1383C22×C4—42no—
1384C22×C4—42no—
1385C22×C4—42no—
1386C22×C4—42no—
1387C22×C4—42no—
1388C22×C4—42no—
1389C22×C4—41no—
1390C22×C4—41no—
1391C22×C4—42no—
1392C22×C4—42no—
1393C22×C4—42no—
1394C22×C4—44no—
1395C22×C4—42no—
1396C22×C4—42no—
1397C22×C4—44no—
1398C22×C4—44no—
1399C22×C4—816no—
1400C22×C4C22×D414yes—
1401C22×C4C22×D418yes—
1402C22×C4C22×D418yes—
1403C22×C4C22×D418yes—
1404C22×C4C22×D418yes—
1405C22×C4C2×#4118yes—
1406C22×C4C2×#4118yes—
1407C22×C4C2511yescharacteristic
1408C22×C4C2511yescharacteristic
1409C22×C4C2511yescharacteristic
1410C22×C4C2512yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2512yes—
1413C22×C4C2512yes—
1414C22×C4C2512yes—
1415C22×C4C2512yes—
1416C22×C4C2514yes—
1417C22×C4C2512yes—
1418C22×C4C2514yes—
1419C22×C4C2512yes—
1420C22×C4C2514yes—
1421C22×C4C2514yes—
1422C22×C4C2512yes—
1423C22×C4C2511yescharacteristic
1424C22×C4C2512yes—
1425C22×C4C2511yescharacteristic
1426C22×C4C2512yes—
1427C22×C4C2511yescharacteristic
1428C22×C4C2511yescharacteristic
1429C22×C4C2511yescharacteristic
1430C22×C4C2511yescharacteristic
1431C22×C4C2511yescharacteristic
1432C22×C4C2512yes—
1433C22×C4C2511yescharacteristic
1434C22×C4C2512yes—
1435C22×C4C2511yescharacteristic
1436C22×C4C2511yescharacteristic
1437C4⋊C4—24no—
1438C4⋊C4—28no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—28no—
1442C4⋊C4—28no—
1443C4⋊C4—24no—
1444C4⋊C4—28no—
1445C4⋊C4—28no—
1446C4⋊C4—28no—
1447C4⋊C4—28no—
1448C4⋊C4—28no—
1449C4⋊C4—28no—
1450C4⋊C4—24no—
1451C4⋊C4—24no—
1452C4⋊C4—24no—
1453C4⋊C4—28no—
1454C4⋊C4—28no—
1455C4⋊C4—28no—
1456C4⋊C4—28no—
1457C4⋊C4—28no—
1458C4⋊C4—24no—
1459C4⋊C4—28no—
1460C4⋊C4—24no—
1461C4⋊C4—24no—
1462C4⋊C4—28no—
1463C4⋊C4—24no—
1464C4⋊C4—22no—
1465C4⋊C4—22no—
1466C4⋊C4—24no—
1467C4⋊C4—22no—
1468C4⋊C4—28no—
1469C4⋊C4—24no—
1470C4⋊C4—24no—
1471C4⋊C4—28no—
1472C4⋊C4—28no—
1473C4⋊C4—28no—
1474C4⋊C4—28no—
1475C4⋊C4—22no—
1476C4⋊C4—22no—
1477C4⋊C4—22no—
1478C4⋊C4—24no—
1479C4⋊C4—24no—
1480C4⋊C4—28no—
1481C4⋊C4—22no—
1482C4⋊C4—22no—
1483C4⋊C4—24no—
1484C4⋊C4—24no—
1485C4⋊C4—22no—
1486C4⋊C4—22no—
1487C4⋊C4—44no—
1488C4⋊C4—44no—
1489C4⋊C4—42no—
1490C4⋊C4—42no—
1491C4⋊C4—42no—
1492C4⋊C4—44no—
1493C4⋊C4—42no—
1494C4⋊C4—44no—
1495C4⋊C4C22×D414yes—
1496C4⋊C4C22×D414yes—
1497C4⋊C4C22×D414yes—
1498C4⋊C4C22×D414yes—
1499C4⋊C4C2×#4114yes—
1500C4⋊C4C2×#4114yes—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—28no—
1504C22⋊C4—28no—
1505C22⋊C4—28no—
1506C22⋊C4—28no—
1507C22⋊C4—28no—
1508C22⋊C4—28no—
1509C22⋊C4—28no—
1510C22⋊C4—28no—
1511C22⋊C4—28no—
1512C22⋊C4—28no—
1513C22⋊C4—24no—
1514C22⋊C4—24no—
1515C22⋊C4—24no—
1516C22⋊C4—28no—
1517C22⋊C4—24no—
1518C22⋊C4—24no—
1519C22⋊C4—28no—
1520C22⋊C4—24no—
1521C22⋊C4—24no—
1522C22⋊C4—28no—
1523C22⋊C4—24no—
1524C22⋊C4—24no—
1525C22⋊C4—22no—
1526C22⋊C4—22no—
1527C22⋊C4—24no—
1528C22⋊C4—24no—
1529C22⋊C4—24no—
1530C22⋊C4—24no—
1531C22⋊C4—24no—
1532C22⋊C4—24no—
1533C22⋊C4—24no—
1534C22⋊C4—24no—
1535C22⋊C4—28no—
1536C22⋊C4—28no—
1537C22⋊C4—28no—
1538C22⋊C4—28no—
1539C22⋊C4—42no—
1540C22⋊C4—42no—
1541C22⋊C4—42no—
1542C22⋊C4—44no—
1543C22⋊C4—42no—
1544C22⋊C4—44no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—42no—
1550C22⋊C4—42no—
1551C22⋊C4C22×D414yes—
1552C22⋊C4C22×D418yes—
1553C22⋊C4C22×D414yes—
1554C22⋊C4C22×D418yes—
1555C22⋊C4C22×D418yes—
1556C22⋊C4C22×D418yes—
1557C22⋊C4C22×D418yes—
1558C22⋊C4C2×#4118yes—
1559C22⋊C4C2×#4118yes—
1560C42—24no—
1561C42—24no—
1562C42—28no—
1563C42—28no—
1564C42—24no—
1565C42—28no—
1566C42—28no—
1567C42—28no—
1568C42—24no—
1569C42—22no—
1570C42—22no—
1571C42—22no—
1572C42—24no—
1573C42—22no—
1574C42—22no—
1575C42—22no—
1576C42—24no—
1577C42—22no—
1578C42—24no—
1579C42—22no—
1580C42—42no—
1581C42—42no—
1582C42—42no—
1583C42—42no—
1584C42—42no—
1585C42—42no—
1586C42—42no—
1587C42—42no—
1588C42—41no—
1589C42—41no—
1590C42—41no—
1591C42—41no—
1592C42—42no—
1593C42—42no—
1594C42C22×D414yes—
1595C42C22×D418yes—
1596C42C22×D414yes—
1597C42C2×#4114yes—
1598C42C2×#4114yes—
1599C23—22no—
1600C23—22no—
1601C23—22no—
1602C23—22no—
1603C23—21no—
1604C23—22no—
1605C23—22no—
1606C23—21no—
1607C23—22no—
1608C23—22no—
1609C23—21no—
1610C23—21no—
1611C23—22no—
1612C23—22no—
1613C23—21no—
1614C23—21no—
1615C23—216no—
1616C23—22no—
1617C23—22no—
1618C23—22no—
1619C23—22no—
1620C23—22no—
1621C23—22no—
1622C23—22no—
1623C23—22no—
1624C23—22no—
1625C23—22no—
1626C23—22no—
1627C23—22no—
1628C23—22no—
1629C23—22no—
1630C23—48no—
1631C23—48no—
1632C23—84no—
1633C23—84no—
1634C23—84no—
1635C23—84no—
1636C23C23×D412yes—
1637C23C23×D414yes—
1638C23C23×D414yes—
1639C23C22×#4114yes—
1640C23C22×#4114yes—
1641C23C2611yescharacteristic
1642Q8—48no—
1643Q8—48no—
1644Q8—84no—
1645Q8—88no—
1646D4—216no—
1647D4—28no—
1648D4—416no—
1649D4—416no—
1650D4—44no—
1651D4—44no—
1652D4—84no—
1653D4—84no—
1654D4—88no—
1655D4—88no—
1656D4—84no—
1657D4—84no—
1658D4#532116yes—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—22no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—28no—
1684C2×C4—216no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—24no—
1690C2×C4—24no—
1691C2×C4—24no—
1692C2×C4—22no—
1693C2×C4—24no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—22no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—24no—
1706C2×C4—24no—
1707C2×C4—24no—
1708C2×C4—24no—
1709C2×C4—21no—
1710C2×C4—22no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—24no—
1715C2×C4—22no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—22no—
1719C2×C4—24no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—22no—
1726C2×C4—21no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—24no—
1730C2×C4—22no—
1731C2×C4—24no—
1732C2×C4—22no—
1733C2×C4—48no—
1734C2×C4—48no—
1735C2×C4—48no—
1736C2×C4—48no—
1737C2×C4—48no—
1738C2×C4—416no—
1739C2×C4—416no—
1740C2×C4—48no—
1741C2×C4—48no—
1742C2×C4—48no—
1743C2×C4—44no—
1744C2×C4—84no—
1745C2×C4—88no—
1746C2×C4—84no—
1747C2×C4—84no—
1748C2×C4—84no—
1749C2×C4—82no—
1750C2×C4—84no—
1751C2×C4—84no—
1752C2×C4—88no—
1753C2×C4—88no—
1754C2×C4—84no—
1755C2×C4—84no—
1756C2×C4C23×D412yes—
1757C2×C4C23×D412yes—
1758C2×C4C23×D414yes—
1759C2×C4C23×D412yes—
1760C2×C4C23×D414yes—
1761C2×C4C23×D412yes—
1762C2×C4C23×D412yes—
1763C2×C4C23×D412yes—
1764C2×C4C22×#4112yes—
1765C2×C4C22×#4114yes—
1766C2×C4C22×#4112yes—
1767C2×C4C22×#4112yes—
1768C2×C4C22×#4114yes—
1769C2×C4C22×#4112yes—
1770C2×C4C22×#4112yes—
1771C2×C4C22×#4112yes—
1772C2×C4#58512yes—
1773C2×C4#58512yes—
1774C22—24no—
1775C22—24no—
1776C22—24no—
1777C22—24no—
1778C22—24no—
1779C22—24no—
1780C22—24no—
1781C22—24no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—24no—
1786C22—42no—
1787C22—41no—
1788C22—42no—
1789C22—41no—
1790C22—41no—
1791C22—42no—
1792C22—41no—
1793C22—42no—
1794C22—42no—
1795C22—42no—
1796C22—42no—
1797C22—42no—
1798C22—42no—
1799C22—42no—
1800C22—42no—
1801C22—42no—
1802C22—42no—
1803C22—42no—
1804C22—42no—
1805C22—42no—
1806C22—42no—
1807C22—42no—
1808C22—816no—
1809C22C2×#53218yes—
1810C22C24×D411yescharacteristic
1811C22C23×#4111yescharacteristic
1812C22C23×#4111yescharacteristic
1813C22C2×#58511yescharacteristic
1814C22C2×#58511yescharacteristic
1815C222−1+611yescharacteristic
1816C222−1+611yescharacteristic
1817C4—22no—
1818C4—24no—
1819C4—22no—
1820C4—22no—
1821C4—22no—
1822C4—24no—
1823C4—22no—
1824C4—24no—
1825C4—22no—
1826C4—24no—
1827C4—22no—
1828C4—22no—
1829C4—42no—
1830C4—44no—
1831C4—42no—
1832C4—42no—
1833C4—44no—
1834C4—42no—
1835C4—41no—
1836C4—42no—
1837C4—41no—
1838C4—42no—
1839C4—41no—
1840C4—41no—
1841C4—42no—
1842C4—42no—
1843C4—44no—
1844C4—44no—
1845C4C2×#53214yes—
1846C4#352114yescomplemented
1847C2—28no—
1848C2—44no—
1849C2—42no—
1850C2—82no—
1851C2—82no—
1852C2C22×#53211yescharacteristic
1853C2C2×#352111yescharacteristic
1854C2#6286111yescharacteristic
1855C2#6298811yescharacteristic
1856C2#6298811yescharacteristic
1857C2#6299111yescharacteristic
1858C2#6299511yescharacteristic
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×#3521C2semidirect
2. #36473C2semidirect
3. #36468C2semidirect
4. #36272C2semidirect
5. #36263C2semidirect
6. #36261C2semidirect
7. #36188C2semidirect
8. #36183C2semidirect
9. #36183C2semidirect
10. #36181C2semidirect
11. #36179C2semidirect
12. #36153C2semidirect
13. #36153C2semidirect
14. #36045C2semidirect
15. #36042C2semidirect
16. #36012C2semidirect
17. #36009C2semidirect
18. #35856C2semidirect
19. #35834C2semidirect
20. #35636C2semidirect
21. #35635C2semidirect
22. #35467C2semidirect
23. #35464C2semidirect
24. #35319C2semidirect
25. #35170C2semidirect
26. #35008C2semidirect
27. #35005C2semidirect
28. #34932C2semidirect
29. #34914C2semidirect
30. #34763C2semidirect
31. C2×#2496C2semidirect
32. #34308C2semidirect
33. #34289C2semidirect
34. C4×#547C2semidirect
35. C4×#518C2semidirect
65. #2868C22semidirect
66. #2860C22semidirect
67. #2859C22semidirect
68. #2859C22semidirect
71. #2857C22semidirect
72. #2857C22semidirect
73. #2857C22semidirect
74. #2856C22semidirect
75. #2854C22semidirect
76. #2854C22semidirect
79. #2664C22semidirect
80. #2663C22semidirect
81. #2663C22semidirect
82. #2642C22semidirect
83. #2639C22semidirect
86. #2611C22semidirect
87. #2604C22semidirect
88. #2602C22semidirect
89. #2602C22semidirect
90. #2601C22semidirect
91. #2591C22semidirect
92. #2584C22semidirect
93. #2583C22semidirect
94. #2568C22semidirect
95. #2565C22semidirect
96. #2564C22semidirect
97. #2564C22semidirect
98. #2562C22semidirect
99. #2560C22semidirect
102. #2559C22semidirect
103. #2559C22semidirect
104. #2559C22semidirect
105. #2558C22semidirect
106. #2558C22semidirect
109. #2557C22semidirect
110. #2556C22semidirect
114. #2553C22semidirect
115. #2553C22semidirect
116. #2552C22semidirect
117. #2551C22semidirect
118. #2550C22semidirect
119. #2549C22semidirect
124. #2542C22semidirect
125. #2542C22semidirect
126. #2542C22semidirect
127. #2542C22semidirect
134. #2521C22semidirect
135. #2521C22semidirect
136. #2519C22semidirect
137. #2512C22semidirect
138. #2506C22semidirect
139. #2506C22semidirect
140. #2506C22semidirect
141. #2506C22semidirect
142. #2506C22semidirect
143. #2506C22semidirect
144. #2503C22semidirect
145. #2501C22semidirect
146. #2501C22semidirect
147. #2501C22semidirect
148. #2501C22semidirect
149. #2499C22semidirect
150. #2499C22semidirect
151. #2498C22semidirect
152. #2498C22semidirect
162. #2496C22semidirect
163. #2496C22semidirect
164. #2496C22semidirect
165. #2496C22semidirect
166. #2496C22semidirect
167. #2496C22semidirect
168. #2496C22semidirect
169. #2496C22semidirect
170. #2496C22semidirect
171. #2492C22semidirect
172. #2492C22semidirect
175. #2491C22semidirect
176. #2489C22semidirect
177. #2489C22semidirect
178. #2488C22semidirect
179. #2488C22semidirect
180. #2488C22semidirect
181. #2488C22semidirect
185. #2452C22semidirect
186. #2445C22semidirect
187. #2440C22semidirect
188. #2440C22semidirect
190. #2428C22semidirect
201. #2422C22semidirect
212. #2398C22semidirect
213. #2396C22semidirect
214. #2395C22semidirect
215. #2395C22semidirect
216. C2×#400C22semidirect
219. #2365C22semidirect
220. #2365C22semidirect
221. #2365C22semidirect
222. #2364C22semidirect
223. #2362C22semidirect
224. #2362C22semidirect
225. #2361C22semidirect
226. #2361C22semidirect
227. #2360C22semidirect
228. #2360C22semidirect
229. #2359C22semidirect
230. #2359C22semidirect
231. #2359C22semidirect
232. #2359C22semidirect
233. #2354C22semidirect
234. #2352C22semidirect
238. D4×C4⋊C4C22semidirect
239. #2344C22semidirect
240. #2344C22semidirect
241. #2344C22semidirect
246. #2327C22semidirect
247. #2325C22semidirect
248. #2323C22semidirect
249. #2323C22semidirect
250. #2322C22semidirect
251. #2322C22semidirect
252. C4×C4⋊Q8C22semidirect
253. C4×C4⋊Q8C22semidirect
254. C4×C4⋊Q8C22semidirect
255. C4×C4⋊Q8C22semidirect
256. C4×#127C22semidirect
257. C4×C22⋊Q8C22semidirect
258. C4×C22⋊Q8C22semidirect
259. C4×#123C22semidirect
260. C4×#123C22semidirect
263. C4×#121C22semidirect
264. C4×#121C22semidirect
265. C4×#121C22semidirect
266. C4×#121C22semidirect
267. #2293C22semidirect
268. #2293C22semidirect
269. C2×#389C22semidirect
270. C2×#389C22semidirect
271. #2290C22semidirect
272. C2×#387C22semidirect
273. #2285C22semidirect
274. #2285C22semidirect
275. C2×#384C22semidirect
294. C42×D4C22semidirect
297. C2×C4×C4⋊C4C22semidirect
404. #518D4semidirect
1846. C4#3521semidirect

Maximal subgroups

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

subgroupindex
C2×#35212
#364732
#364682
#362722
#362632
#362612
#361882
#361832
#361812
#361792
#361532
#360452
#360422
#360122
#360092
#358562
#358342
#356362
#356352
#354672
#354642
#353192
#351702
#350082
#350052
#349322
#349142
#347632
C2×#24962
#343082
#342892
C4×#5472
C4×#5182