Finite Group Databasebeta

← #7780006

Subgroups — #7780006

Order 512.

6938 conjugacy classes of subgroups.

The subgroup lattice has 1819 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3554C212yesmaximal, complemented
2#59827C211yesmaximal, characteristic, complemented
3#59815C211yesmaximal, characteristic, complemented
4#59667C211yesmaximal, characteristic, complemented
5#59458C211yesmaximal, characteristic, complemented
6#59313C212yesmaximal, complemented
7#59125C212yesmaximal, complemented
8#48822C214yesmaximal, complemented
9#47943C214yesmaximal, complemented
10#47208C214yesmaximal, complemented
11#46363C214yesmaximal, complemented
12#45482C212yesmaximal, complemented
13#45482C212yesmaximal, complemented
14#45424C212yesmaximal, complemented
15#45354C212yesmaximal, complemented
16#42678C212yesmaximal, complemented
17#42481C212yesmaximal, complemented
18#39403C212yesmaximal, complemented
19#39400C212yesmaximal, complemented
20#39352C211yesmaximal, characteristic, complemented
21#39350C211yesmaximal, characteristic, complemented
22#39348C212yesmaximal, complemented
23#39337C212yesmaximal, complemented
24#37798C212yesmaximal, complemented
25#37794C212yesmaximal, complemented
26#37275C212yesmaximal, complemented
27#36469C211yesmaximal, characteristic, complemented
28#36469C211yesmaximal, characteristic, complemented
29#36180C211yesmaximal, characteristic, complemented
30#36126C211yesmaximal, characteristic, complemented
31D4×C4⋊Q8C211yesmaximal, characteristic, complemented
32#36116C211yesmaximal, characteristic, complemented
33#35277C211yesmaximal, characteristic, complemented
34#34938C211yesmaximal, characteristic, complemented
35C4×#540C211yesmaximal, characteristic, complemented
36#3554—232no—
37C2×#562C2214yes—
38C2×#562C2214yes—
39C2×#559C2212yes—
40C2×#559C2212yes—
41C2×#559C2212yes—
42C2×#557C2212yes—
43C2×#554C2212yes—
44C2×#554C2212yes—
45C2×#550C2212yes—
46C2×D4×Q8C2212yes—
47C2×#548C2214yes—
48C2×#547C2214yes—
49C2×#547C2212yes—
50C2×#547C2212yes—
51C2×#542C2214yes—
52C2×#542C2212yes—
53C2×#542C2212yes—
54C2×#540C2212yes—
55C2×#540C2211yescharacteristic
56C2×#539C2214yes—
57C2×#539C2214yes—
58C2×#536C2214yes—
59C2×#533C2212yes—
60C2×#532C2212yes—
61C22×C4⋊Q8C2212yes—
62C2×#529C2212yes—
63#2868C2211yescharacteristic
64#2858C2211yescharacteristic
65#2857C2211yescharacteristic
66#2857C2212yes—
67#2857C2212yes—
68#2856C2211yescharacteristic
69#2855C2212yes—
70#2854C2212yes—
71#2854C2212yes—
72#2854C2212yes—
73#2814C2214yes—
74#2814C2214yes—
75#2724C2214yes—
76#2721C2214yes—
77#2720C2214yes—
78#2718C2214yes—
79#2717C2214yes—
80#2716C2214yes—
81#2715C2214yes—
82#2713C2214yes—
83#2708C2214yes—
84#2708C2214yes—
85#2708C2214yes—
86#2706C2214yes—
87#2704C2214yes—
88#2704C2214yes—
89#2701C2214yes—
90#2701C2214yes—
91#2700C2214yes—
92#2700C2214yes—
93#2700C2214yes—
94#2698C2214yes—
95#2695C2214yes—
96#2692C2214yes—
97#2690C2214yes—
98#2687C2214yes—
99#2687C2214yes—
100#2687C2214yes—
101#2686C2214yes—
102#2686C2214yes—
103#2686C2214yes—
104#2682C2214yes—
105#2680C2214yes—
106#2680C2214yes—
107#2680C2214yes—
108#2677C2214yes—
109#2677C2214yes—
110#2674C2214yes—
111#2674C2214yes—
112#2674C2214yes—
113#2674C2214yes—
114#2671C2214yes—
115#2640C2212yes—
116#2638C2214yes—
117#2638C2214yes—
118#2625C2212yes—
119#2624C2212yes—
120#2623C2214yes—
121#2620C2212yes—
122#2614C2214yes—
123#2602C2214yes—
124#2602C2214yes—
125#2592C2212yes—
126#2592C2212yes—
127#2582C2212yes—
128#2581C2212yes—
129#2580C2212yes—
130#2567C2212yes—
131#2557C2214yes—
132#2557C2214yes—
133#2552C2211yescharacteristic
134#2552C2211yescharacteristic
135#2552C2212yes—
136#2552C2211yescharacteristic
137#2552C2211yescharacteristic
138#2551C2211yescharacteristic
139#2551C2212yes—
140#2551C2211yescharacteristic
141#2551C2212yes—
142#2551C2211yescharacteristic
143#2551C2211yescharacteristic
144#2550C2212yes—
145#2550C2212yes—
146#2549C2212yes—
147#2549C2212yes—
148#2547C2211yescharacteristic
149#2547C2211yescharacteristic
150#2547C2212yes—
151#2547C2212yes—
152#2546C2212yes—
153#2544C2212yes—
154#2544C2212yes—
155#2542C2212yes—
156#2541C2211yescharacteristic
157#2541C2211yescharacteristic
158#2538C2212yes—
159#2537C2212yes—
160#2537C2212yes—
161#2512C2212yes—
162#2512C2212yes—
163#2506C2212yes—
164#2506C2212yes—
165#2502C2214yes—
166#2501C2212yes—
167#2496C2212yes—
168#2496C2212yes—
169#2491C2212yes—
170#2491C2212yes—
171#2491C2212yes—
172#2491C2212yes—
173#2491C2212yes—
174#2486C2212yes—
175#2486C2214yes—
176#2486C2212yes—
177#2486C2212yes—
178#2486C2212yes—
179#2478C2214yes—
180#2473C2214yes—
181#2470C2214yes—
182#2466C2214yes—
183#2465C2214yes—
184#2462C2214yes—
185#2461C2214yes—
186#2454C2212yes—
187#2454C2212yes—
188#2453C2212yes—
189#2453C2212yes—
190#2452C2212yes—
191#2452C2212yes—
192#2452C2212yes—
193#2452C2212yes—
194#2452C2212yes—
195#2452C2212yes—
196#2451C2212yes—
197#2451C2212yes—
198#2449C2214yes—
199#2449C2214yes—
200#2447C2212yes—
201#2447C2212yes—
202#2447C2214yes—
203#2447C2212yes—
204#2447C2212yes—
205#2445C2212yes—
206#2445C2212yes—
207#2445C2212yes—
208#2445C2212yes—
209#2443C2214yes—
210#2443C2214yes—
211#2443C2214yes—
212#2440C2214yes—
213#2440C2212yes—
214#2440C2212yes—
215#2440C2214yes—
216#2440C2214yes—
217#2440C2212yes—
218#2440C2212yes—
219#2440C2211yescharacteristic
220#2440C2211yescharacteristic
221#2440C2211yescharacteristic
222#2440C2211yescharacteristic
223#2440C2212yes—
224#2434C2214yes—
225#2432C2214yes—
226#2430C2214yes—
227#2429C2214yes—
228#2422C2214yes—
229#2422C2212yes—
230#2422C2212yes—
231#2422C2212yes—
232#2422C2212yes—
233#2422C2212yes—
234#2419C2214yes—
235#2416C2212yes—
236#2416C2212yes—
237#2416C2212yes—
238#2416C2212yes—
239#2413C2214yes—
240#2409C2214yes—
241#2407C2214yes—
242#2406C2214yes—
243#2406C2214yes—
244#2406C2214yes—
245#2399C2212yes—
246#2399C2212yes—
247#2367C2212yes—
248#2367C2212yes—
249#2366C2211yescharacteristic
250#2366C2211yescharacteristic
251#2365C2211yescharacteristic
252#2365C2211yescharacteristic
253#2365C2212yes—
254#2361C2212yes—
255D4×C4⋊C4C2211yescharacteristic
256D4×C4⋊C4C2212yes—
257D4×C4⋊C4C2212yes—
258D4×C4⋊C4C2211yescharacteristic
259D4×C4⋊C4C2211yescharacteristic
260D4×C4⋊C4C2212yes—
261D4×C4⋊C4C2212yes—
262D4×C4⋊C4C2211yescharacteristic
263D4×C4⋊C4C2212yes—
264#2344C2212yes—
265#2335C2212yes—
266#2335C2212yes—
267#2333C2212yes—
268#2333C2212yes—
269#2330C2211yescharacteristic
270#2328C2211yescharacteristic
271#2326C2212yes—
272#2324C2211yescharacteristic
273#2324C2211yescharacteristic
274#2319C2211yescharacteristic
275#2319C2211yescharacteristic
276#2314C2211yescharacteristic
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×C4⋊Q8C2211yescharacteristic
281C4×C4⋊Q8C2211yescharacteristic
282C4×#127C2211yescharacteristic
283C4×#127C2211yescharacteristic
284C4×#125C2211yescharacteristic
285C4×#123C2212yes—
286C4×#123C2212yes—
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic
289C4×#121C2212yes—
290C4×#121C2212yes—
291C4×#121C2212yes—
292C4×#121C2212yes—
293#2296C2212yes—
294#2285C2211yescharacteristic
295C2×#384C2212yes—
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C2×C4×C4⋊C4C2211yescharacteristic
300C22×#41C2314yes—
301C22×#41C2314yes—
302C23×Q8C2314yes—
303#562—232no—
304#562—232no—
305#559—216no—
306#559—216no—
307#559—216no—
308#557—216no—
309#554—216no—
310#554—216no—
311#550—216no—
312D4×Q8—216no—
313#548—232no—
314#547—232no—
315#547—48no—
316#547—48no—
317#542—232no—
318#542—216no—
319#542—216no—
320#540—216no—
321#540D4116yescomplemented
322#539—232no—
323#539—232no—
324#536—232no—
325#533—216no—
326#532—216no—
327C2×C4⋊Q8—48no—
328C2×C4⋊Q8C2311yescharacteristic
329C2×C4⋊Q8C2311yescharacteristic
330C2×C4⋊Q8C2311yescharacteristic
331C2×C4⋊Q8C2312yes—
332C2×C4⋊Q8C2312yes—
333C2×C4⋊Q8C2312yes—
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2314yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2314yes—
342C2×C4⋊Q8C2314yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345C2×#127C2311yescharacteristic
346C2×#127C2312yes—
347C2×#127C2312yes—
348C2×#127C2311yescharacteristic
349#529—216no—
350C2×#126C2314yes—
351C2×#126C2314yes—
352C2×#126C2314yes—
353C2×#125C2312yes—
354C2×#125C2312yes—
355C2×#125C2312yes—
356C2×#125C2314yes—
357C2×#125C2314yes—
358C2×#125C2312yes—
359C2×#125C2311yescharacteristic
360C2×#124C2312yes—
361C2×#124C2312yes—
362C2×#124C2312yes—
363C2×#124C2314yes—
364C2×#124C2314yes—
365C2×#124C2314yes—
366C2×#124C2314yes—
367C2×#124C2314yes—
368C2×#124C2314yes—
369C2×#124C2312yes—
370C2×#123C2314yes—
371C2×#123C2314yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×#123C2314yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2314yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2314yes—
407C2×#121C2312yes—
408C2×#121C2314yes—
409C2×#121C2314yes—
410C2×#121C2314yes—
411C2×#121C2314yes—
412C2×#121C2314yes—
413C2×#121C2314yes—
414C2×#121C2312yes—
415C2×#121C2312yes—
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2311yescharacteristic
421C2×#121C2311yescharacteristic
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2312yes—
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2314yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2311yescharacteristic
434C2×C4×D4C2311yescharacteristic
435C2×C4×D4C2311yescharacteristic
436C2×C4×D4C2311yescharacteristic
437C2×C4×D4C2314yes—
438C2×C4×D4C2314yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2314yes—
444C2×C4×D4C2314yes—
445C2×C4×D4C2314yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2311yescharacteristic
458C2×#117C2311yescharacteristic
459C2×#117C2314yes—
460C2×#117C2312yes—
461C2×#117C2311yescharacteristic
462C22×C4⋊C4C2312yes—
463C22×C4⋊C4C2311yescharacteristic
464C22×C4⋊C4C2314yes—
465C22×C4⋊C4C2314yes—
466C22×C4⋊C4C2312yes—
467C22×C4⋊C4C2312yes—
468C22×C4⋊C4C2314yes—
469C22×C4⋊C4C2312yes—
470C22×C4⋊C4C2311yescharacteristic
471C22×C4⋊C4C2314yes—
472C22×C42C2312yes—
473C22×C42C2311yescharacteristic
474C22×C42C2312yes—
475C22×C42C2312yes—
476#400C2314yes—
477#400C2314yes—
478#400C2314yes—
479#400C2314yes—
480#399C2314yes—
481#399C2314yes—
482#399C2314yes—
483#399C2314yes—
484#398C2314yes—
485#398C2314yes—
486#398C2312yes—
487#398C2314yes—
488#398C2314yes—
489#398C2312yes—
490#398C2314yes—
491#398C2312yes—
492#398C2312yes—
493#398C2312yes—
494#398C2312yes—
495#398C2312yes—
496#398C2312yes—
497#398C2314yes—
498#398C2314yes—
499#398C2314yes—
500#398C2314yes—
501#398C2314yes—
502#398C2314yes—
503#398C2314yes—
504#398C2314yes—
505#397C2314yes—
506#397C2314yes—
507#397C2314yes—
508#397C2314yes—
509#397C2314yes—
510#397C2314yes—
511#397C2314yes—
512#397C2314yes—
513#397C2314yes—
514#397C2314yes—
515#397C2314yes—
516#397C2314yes—
517#397C2314yes—
518#397C2314yes—
519#397C2314yes—
520#397C2314yes—
521#397C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#396C2314yes—
526#396C2314yes—
527#396C2314yes—
528#396C2314yes—
529#396C2314yes—
530#395C2314yes—
531#395C2314yes—
532#395C2314yes—
533#395C2312yes—
534#395C2314yes—
535#395C2314yes—
536#395C2312yes—
537#395C2312yes—
538#395C2312yes—
539#395C2312yes—
540#395C2312yes—
541#395C2312yes—
542#395C2312yes—
543#395C2314yes—
544#395C2314yes—
545#395C2314yes—
546#395C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#393C2314yes—
564#393C2314yes—
565#393C2314yes—
566#393C2314yes—
567#393C2314yes—
568#393C2314yes—
569#393C2314yes—
570#392C2314yes—
571#392C2314yes—
572#391C2312yes—
573#391C2312yes—
574#391C2312yes—
575#391C2312yes—
576#391C2312yes—
577#391C2314yes—
578#391C2312yes—
579#391C2312yes—
580#391C2312yes—
581#391C2312yes—
582#391C2312yes—
583#391C2314yes—
584#391C2314yes—
585#391C2314yes—
586#391C2314yes—
587#390C2311yescharacteristic
588#390C2311yescharacteristic
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2311yescharacteristic
595#390C2311yescharacteristic
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2312yes—
610#390C2312yes—
611#389C2311yescharacteristic
612#389C2311yescharacteristic
613#389C2311yescharacteristic
614#389C2311yescharacteristic
615#389C2312yes—
616#389C2312yes—
617#389C2311yescharacteristic
618#389C2311yescharacteristic
619#389C2311yescharacteristic
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2311yescharacteristic
624#389C2311yescharacteristic
625#389C2311yescharacteristic
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2311yescharacteristic
632#389C2311yescharacteristic
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2314yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2314yes—
648#389C2314yes—
649#389C2312yes—
650#389C2314yes—
651#389C2312yes—
652#389C2314yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#388C2312yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2312yes—
664#388C2314yes—
665#388C2314yes—
666#388C2312yes—
667#388C2312yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#387C2314yes—
683#387C2314yes—
684#387C2312yes—
685#387C2312yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#386C2312yes—
695#386C2312yes—
696#386C2312yes—
697#386C2312yes—
698#386C2312yes—
699#386C2312yes—
700#386C2312yes—
701#386C2312yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#385C2312yes—
714#385C2312yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2312yes—
739#385C2312yes—
740#385C2312yes—
741#385C2312yes—
742#384C2311yescharacteristic
743#384C2311yescharacteristic
744#384C2311yescharacteristic
745#384C2311yescharacteristic
746#384C2311yescharacteristic
747#384C2311yescharacteristic
748#384C2311yescharacteristic
749#384C2314yes—
750#384C2312yes—
751#384C2312yes—
752#384C2312yes—
753#384C2312yes—
754#384C2311yescharacteristic
755#384C2314yes—
756#384C2311yescharacteristic
757#384C2312yes—
758#382C2311yescharacteristic
759#382C2312yes—
760#381C2312yes—
761#381C2312yes—
762#381C2314yes—
763#381C2314yes—
764#381C2314yes—
765#381C2314yes—
766#381C2314yes—
767#380C2311yescharacteristic
768#380C2311yescharacteristic
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2314yes—
779#380C2314yes—
780#380C2312yes—
781#380C2312yes—
782#380C2314yes—
783#380C2314yes—
784#380C2312yes—
785#380C2311yescharacteristic
786#380C2312yes—
787#380C2314yes—
788#380C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2311yescharacteristic
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2311yescharacteristic
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2311yescharacteristic
832#376C2311yescharacteristic
833#376C2311yescharacteristic
834C2×#95C2312yes—
835C43C2311yescharacteristic
836C43C2311yescharacteristic
837C2×#41—216no—
838C2×#41—216no—
839C2×#41—48no—
840C2×#41—48no—
841C2×#41—84no—
842C2×#41—84no—
843C22×Q8—216no—
844C22×Q8—48no—
845C22×Q8—84no—
846C22×Q8C2412yes—
847C22×Q8C2412yes—
848C22×Q8C2414yes—
849C22×Q8C2412yes—
850C22×Q8C2412yes—
851C22×Q8C2412yes—
852C22×Q8C2414yes—
853C22×Q8C2414yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2411yescharacteristic
858C22×D4C2411yescharacteristic
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2412yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2412yes—
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2412yes—
868C23×C4C2412yes—
869C23×C4C2411yescharacteristic
870C23×C4C2412yes—
871C23×C4C2414yes—
872C23×C4C2412yes—
873C23×C4C2411yescharacteristic
874C23×C4C2414yes—
875C23×C4C2414yes—
876C23×C4C2414yes—
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2414yes—
880C23×C4C2414yes—
881C23×C4C2414yes—
882C23×C4C2412yes—
883C23×C4C2411yescharacteristic
884C23×C4C2412yes—
885C23×C4C2412yes—
886C4⋊Q8—28no—
887C4⋊Q8—28no—
888C4⋊Q8—28no—
889C4⋊Q8—216no—
890C4⋊Q8—28no—
891C4⋊Q8—24no—
892C4⋊Q8—28no—
893C4⋊Q8—24no—
894C4⋊Q8—28no—
895C4⋊Q8—24no—
896C4⋊Q8—44no—
897C4⋊Q8—44no—
898C4⋊Q8—42no—
899C4⋊Q8—42no—
900C4⋊Q8—48no—
901C4⋊Q8—48no—
902C4⋊Q8—82no—
903#127—28no—
904#127—28no—
905#127—24no—
906#127C2×D418yes—
907#126—216no—
908#126—216no—
909#126—216no—
910#125—28no—
911#125—28no—
912#125—28no—
913#125—216no—
914#125—216no—
915#125—28no—
916#125C2×D418yes—
917#124—28no—
918#124—216no—
919#124—28no—
920#124—216no—
921#124—216no—
922#124—216no—
923#124—216no—
924#124—216no—
925#124—28no—
926#124—28no—
927#123—216no—
928#123—216no—
929#123—216no—
930#123—216no—
931#123—216no—
932#123—216no—
933#123—216no—
934#123—216no—
935#123—216no—
936#123—216no—
937#123—216no—
938#123—48no—
939#123—48no—
940#123—48no—
941#123—48no—
942#123—84no—
943#123C2×D4116yes—
944#123C2×D4116yes—
945C22⋊Q8—28no—
946C22⋊Q8—216no—
947C22⋊Q8—216no—
948C22⋊Q8—216no—
949C22⋊Q8—216no—
950C22⋊Q8—216no—
951C22⋊Q8—216no—
952C22⋊Q8—28no—
953C22⋊Q8—28no—
954C22⋊Q8—28no—
955C22⋊Q8—28no—
956C22⋊Q8—216no—
957C22⋊Q8—216no—
958C22⋊Q8—216no—
959C22⋊Q8—216no—
960C22⋊Q8—216no—
961C22⋊Q8—48no—
962C22⋊Q8—48no—
963C22⋊Q8—84no—
964#121—216no—
965#121—216no—
966#121—216no—
967#121—216no—
968#121—216no—
969#121—216no—
970#121—28no—
971#121—28no—
972#121—44no—
973#121—44no—
974#121—44no—
975#121—44no—
976#121—82no—
977#121C2×D418yes—
978#121C2×D418yes—
979#121C2×D4116yes—
980#121C2×D4116yes—
981C4×Q8—28no—
982C4×Q8—216no—
983C4×Q8—28no—
984C4×Q8—28no—
985C4×Q8—28no—
986C4×Q8—28no—
987C4×Q8—28no—
988C4×Q8—28no—
989C4×D4—216no—
990C4×D4—28no—
991C4×D4—28no—
992C4×D4—216no—
993C4×D4—28no—
994C4×D4—28no—
995C4×D4—216no—
996C4×D4—216no—
997C4×D4—28no—
998C4×D4—28no—
999C4×D4—216no—
1000C4×D4—28no—
1001C4×D4—24no—
1002C4×D4—24no—
1003C4×D4—24no—
1004C4×D4—24no—
1005C4×D4—44no—
1006C4×D4—44no—
1007C4×D4—44no—
1008C4×D4—44no—
1009C4×D4—44no—
1010C4×D4—44no—
1011C4×D4—44no—
1012C4×D4—82no—
1013C4×D4C2×D418yes—
1014C4×D4C2×D418yes—
1015#117—28no—
1016#117—216no—
1017#117—24no—
1018#117C2×D418yes—
1019C2×C4⋊C4—216no—
1020C2×C4⋊C4—216no—
1021C2×C4⋊C4—28no—
1022C2×C4⋊C4—24no—
1023C2×C4⋊C4—42no—
1024C2×C4⋊C4—44no—
1025C2×C4⋊C4—48no—
1026C2×C4⋊C4—44no—
1027C2×C4⋊C4—44no—
1028C2×C4⋊C4—84no—
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2411yescharacteristic
1114C2×C22⋊C4C2411yescharacteristic
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2411yescharacteristic
1159C2×C22⋊C4C2411yescharacteristic
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C42—28no—
1164C2×C42—24no—
1165C2×C42—44no—
1166C2×C42—44no—
1167C2×C42C2412yes—
1168C2×C42C2414yes—
1169C2×C42C2412yes—
1170C2×C42C2412yes—
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2412yes—
1174C2×C42C2412yes—
1175C2×C42C2412yes—
1176C2×C42C2411yescharacteristic
1177C2×C42C2412yes—
1178C2×C42C2412yes—
1179C2×C42C2414yes—
1180C2×C42C2414yes—
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183C2×C42C2411yescharacteristic
1184C2×C42C2411yescharacteristic
1185C2×C42C2411yescharacteristic
1186C2×C42C2411yescharacteristic
1187C2×C42C2411yescharacteristic
1188C2×C42C2412yes—
1189C2×C42C2412yes—
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2412yes—
1193C2×C42C2412yes—
1194C2×C42C2411yescharacteristic
1195C2×C42C2411yescharacteristic
1196C2×C42C2411yescharacteristic
1197C2×C42C2411yescharacteristic
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2411yescharacteristic
1203#95C2411yescharacteristic
1204#95C2411yescharacteristic
1205#95C2411yescharacteristic
1206#95C2411yescharacteristic
1207#95C2411yescharacteristic
1208#95C2411yescharacteristic
1209#95C2411yescharacteristic
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2414yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2414yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2414yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2414yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2414yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256C24C2514yes—
1257C24C2511yescharacteristic
1258C24C2512yes—
1259C24C2512yes—
1260#41—832no—
1261#41—832no—
1262C2×Q8—24no—
1263C2×Q8—24no—
1264C2×Q8—28no—
1265C2×Q8—24no—
1266C2×Q8—24no—
1267C2×Q8—24no—
1268C2×Q8—28no—
1269C2×Q8—28no—
1270C2×Q8—24no—
1271C2×Q8—28no—
1272C2×Q8—24no—
1273C2×Q8—24no—
1274C2×Q8—24no—
1275C2×Q8—42no—
1276C2×Q8—44no—
1277C2×Q8—42no—
1278C2×Q8—44no—
1279C2×Q8—44no—
1280C2×Q8—44no—
1281C2×Q8—42no—
1282C2×Q8—42no—
1283C2×Q8—44no—
1284C2×Q8—42no—
1285C2×Q8—42no—
1286C2×Q8—832no—
1287C2×D4—28no—
1288C2×D4—28no—
1289C2×D4—28no—
1290C2×D4—28no—
1291C2×D4—28no—
1292C2×D4—24no—
1293C2×D4—24no—
1294C2×D4—28no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—24no—
1300C2×D4—24no—
1301C2×D4—24no—
1302C2×D4—24no—
1303C2×D4—24no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—42no—
1307C2×D4—42no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—44no—
1313C2×D4—42no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—42no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4C22×D414yes—
1324C2×D4C22×D414yes—
1325C2×D4C22×D418yes—
1326C2×D4C22×D418yes—
1327C2×D4C22×D418yes—
1328C2×D4C22×D418yes—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—24no—
1332C22×C4—28no—
1333C22×C4—24no—
1334C22×C4—28no—
1335C22×C4—28no—
1336C22×C4—28no—
1337C22×C4—24no—
1338C22×C4—28no—
1339C22×C4—22no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—22no—
1343C22×C4—24no—
1344C22×C4—24no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—22no—
1349C22×C4—24no—
1350C22×C4—28no—
1351C22×C4—28no—
1352C22×C4—28no—
1353C22×C4—22no—
1354C22×C4—42no—
1355C22×C4—42no—
1356C22×C4—42no—
1357C22×C4—42no—
1358C22×C4—42no—
1359C22×C4—42no—
1360C22×C4—42no—
1361C22×C4—42no—
1362C22×C4—44no—
1363C22×C4—42no—
1364C22×C4—44no—
1365C22×C4—44no—
1366C22×C4—44no—
1367C22×C4—42no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4—44no—
1374C22×C4—41no—
1375C22×C4—44no—
1376C22×C4—44no—
1377C22×C4—41no—
1378C22×C4—44no—
1379C22×C4—42no—
1380C22×C4C22×D414yes—
1381C22×C4C22×D418yes—
1382C22×C4C22×D418yes—
1383C22×C4C2511yescharacteristic
1384C22×C4C2512yes—
1385C22×C4C2512yes—
1386C22×C4C2511yescharacteristic
1387C22×C4C2511yescharacteristic
1388C22×C4C2514yes—
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2511yescharacteristic
1392C22×C4C2512yes—
1393C22×C4C2512yes—
1394C22×C4C2512yes—
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2514yes—
1399C22×C4C2512yes—
1400C22×C4C2514yes—
1401C22×C4C2511yescharacteristic
1402C22×C4C2511yescharacteristic
1403C22×C4C2511yescharacteristic
1404C22×C4C2511yescharacteristic
1405C22×C4C2512yes—
1406C22×C4C2512yes—
1407C22×C4C2511yescharacteristic
1408C22×C4C2512yes—
1409C22×C4C2511yescharacteristic
1410C22×C4C2511yescharacteristic
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C4⋊C4—28no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—28no—
1418C4⋊C4—28no—
1419C4⋊C4—28no—
1420C4⋊C4—28no—
1421C4⋊C4—28no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—24no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—28no—
1430C4⋊C4—24no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—28no—
1434C4⋊C4—24no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—28no—
1439C4⋊C4—28no—
1440C4⋊C4—28no—
1441C4⋊C4—22no—
1442C4⋊C4—24no—
1443C4⋊C4—24no—
1444C4⋊C4—28no—
1445C4⋊C4—22no—
1446C4⋊C4—24no—
1447C4⋊C4—24no—
1448C4⋊C4—22no—
1449C4⋊C4—28no—
1450C4⋊C4—24no—
1451C4⋊C4—22no—
1452C4⋊C4—22no—
1453C4⋊C4—22no—
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—24no—
1458C4⋊C4—24no—
1459C4⋊C4—22no—
1460C4⋊C4—22no—
1461C4⋊C4—22no—
1462C4⋊C4—22no—
1463C4⋊C4—42no—
1464C4⋊C4—44no—
1465C4⋊C4—44no—
1466C4⋊C4—44no—
1467C4⋊C4—44no—
1468C4⋊C4—44no—
1469C4⋊C4—42no—
1470C4⋊C4—44no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
1473C4⋊C4—42no—
1474C4⋊C4—42no—
1475C4⋊C4—42no—
1476C4⋊C4—42no—
1477C4⋊C4—42no—
1478C4⋊C4—42no—
1479C4⋊C4—42no—
1480C4⋊C4—42no—
1481C4⋊C4—42no—
1482C4⋊C4—42no—
1483C4⋊C4—42no—
1484C4⋊C4—42no—
1485C4⋊C4—42no—
1486C4⋊C4—42no—
1487C4⋊C4—42no—
1488C4⋊C4C22×D418yes—
1489C4⋊C4C22×D414yes—
1490C4⋊C4C22×D414yes—
1491C4⋊C4C22×D414yes—
1492C4⋊C4C22×D414yes—
1493C4⋊C4C22×D418yes—
1494C4⋊C4H(5,𝔽2)14yes—
1495C22⋊C4—24no—
1496C22⋊C4—24no—
1497C22⋊C4—28no—
1498C22⋊C4—28no—
1499C22⋊C4—28no—
1500C22⋊C4—28no—
1501C22⋊C4—28no—
1502C22⋊C4—28no—
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—22no—
1514C22⋊C4—22no—
1515C22⋊C4—24no—
1516C22⋊C4—24no—
1517C22⋊C4—24no—
1518C22⋊C4—24no—
1519C22⋊C4—28no—
1520C22⋊C4—28no—
1521C22⋊C4—42no—
1522C22⋊C4—44no—
1523C22⋊C4—42no—
1524C22⋊C4—44no—
1525C22⋊C4—42no—
1526C22⋊C4—42no—
1527C22⋊C4—42no—
1528C22⋊C4—42no—
1529C22⋊C4—42no—
1530C22⋊C4—44no—
1531C22⋊C4—42no—
1532C22⋊C4—42no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—42no—
1542C22⋊C4C22×D418yes—
1543C22⋊C4C22×D414yes—
1544C22⋊C4C22×D414yes—
1545C22⋊C4C22×D418yes—
1546C22⋊C4C22×D418yes—
1547C22⋊C4C22×D418yes—
1548C42—24no—
1549C42—24no—
1550C42—24no—
1551C42—24no—
1552C42—28no—
1553C42—24no—
1554C42—24no—
1555C42—28no—
1556C42—28no—
1557C42—22no—
1558C42—24no—
1559C42—22no—
1560C42—22no—
1561C42—22no—
1562C42—22no—
1563C42—22no—
1564C42—22no—
1565C42—24no—
1566C42—22no—
1567C42—42no—
1568C42—42no—
1569C42—42no—
1570C42—42no—
1571C42—41no—
1572C42—41no—
1573C42—41no—
1574C42—41no—
1575C42C22×D414yes—
1576C42C22×D414yes—
1577C422−1+414yes—
1578C422−1+414yes—
1579C23—21no—
1580C23—22no—
1581C23—22no—
1582C23—21no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—22no—
1587C23—21no—
1588C23—21no—
1589C23—22no—
1590C23—22no—
1591C23—22no—
1592C23—22no—
1593C23—21no—
1594C23—22no—
1595C23—21no—
1596C23—22no—
1597C23—24no—
1598C23—24no—
1599C23—24no—
1600C23—24no—
1601C23—24no—
1602C23—24no—
1603C23—24no—
1604C23C23×D414yes—
1605C23C23×D412yes—
1606C23C23×D414yes—
1607C23C2611yescharacteristic
1608Q8—48no—
1609Q8—416no—
1610Q8—48no—
1611Q8—48no—
1612Q8—84no—
1613Q8—84no—
1614Q8—88no—
1615Q8—88no—
1616D4—28no—
1617D4—28no—
1618D4—48no—
1619D4—48no—
1620D4—48no—
1621D4—48no—
1622D4—416no—
1623D4—48no—
1624D4—48no—
1625D4—84no—
1626D4—88no—
1627D4—88no—
1628D4—88no—
1629D4—88no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—28no—
1653C2×C4—24no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—24no—
1661C2×C4—22no—
1662C2×C4—24no—
1663C2×C4—22no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—24no—
1671C2×C4—24no—
1672C2×C4—22no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—24no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—24no—
1683C2×C4—22no—
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—21no—
1691C2×C4—22no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—24no—
1697C2×C4—24no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—21no—
1701C2×C4—22no—
1702C2×C4—21no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—48no—
1708C2×C4—48no—
1709C2×C4—416no—
1710C2×C4—48no—
1711C2×C4—48no—
1712C2×C4—48no—
1713C2×C4—48no—
1714C2×C4—44no—
1715C2×C4—48no—
1716C2×C4—88no—
1717C2×C4—82no—
1718C2×C4—88no—
1719C2×C4—88no—
1720C2×C4—84no—
1721C2×C4—88no—
1722C2×C4—88no—
1723C2×C4—88no—
1724C2×C4C23×D412yes—
1725C2×C4C23×D412yes—
1726C2×C4C23×D414yes—
1727C2×C4C23×D414yes—
1728C2×C4C23×D412yes—
1729C2×C4C23×D412yes—
1730C2×C4C23×D412yes—
1731C2×C4C23×D412yes—
1732C2×C4C2×H(5,𝔽2)14yes—
1733C2×C4C2×H(5,𝔽2)12yes—
1734C2×C4C2×2−1+412yes—
1735C2×C4C2×2−1+412yes—
1736C2×C4C2×2−1+412yes—
1737C2×C4C2×2−1+412yes—
1738C2×C4C2×2−1+412yes—
1739C2×C4C2×2−1+412yes—
1740C2×C4#58512yes—
1741C22—24no—
1742C22—22no—
1743C22—24no—
1744C22—24no—
1745C22—22no—
1746C22—24no—
1747C22—22no—
1748C22—24no—
1749C22—24no—
1750C22—41no—
1751C22—42no—
1752C22—42no—
1753C22—41no—
1754C22—42no—
1755C22—42no—
1756C22—42no—
1757C22—41no—
1758C22—42no—
1759C22—42no—
1760C22—41no—
1761C22—42no—
1762C22—44no—
1763C22—44no—
1764C22—44no—
1765C22—44no—
1766C22—44no—
1767C22—44no—
1768C22—44no—
1769C22C24×D411yescharacteristic
1770C22C22×H(5,𝔽2)11yescharacteristic
1771C22C22×2−1+411yescharacteristic
1772C22C22×2−1+411yescharacteristic
1773C22C2×#58511yescharacteristic
1774C22H(7,𝔽2)11yescharacteristic
1775C222−1+611yescharacteristic
1776C4—24no—
1777C4—22no—
1778C4—24no—
1779C4—22no—
1780C4—22no—
1781C4—24no—
1782C4—22no—
1783C4—22no—
1784C4—22no—
1785C4—22no—
1786C4—22no—
1787C4—42no—
1788C4—44no—
1789C4—42no—
1790C4—44no—
1791C4—42no—
1792C4—42no—
1793C4—42no—
1794C4—42no—
1795C4—42no—
1796C4—42no—
1797C4—42no—
1798C4—41no—
1799C4—44no—
1800C4—41no—
1801C4—41no—
1802C4—42no—
1803C4—41no—
1804C4—42no—
1805C4#349914yes—
1806C4#355414yescomplemented
1807C2—44no—
1808C2—42no—
1809C2—44no—
1810C2—84no—
1811C2C2×#355411yescharacteristic
1812C2C2×#349911yescharacteristic
1813C2#6287911yescharacteristic
1814C2#6291311yescharacteristic
1815C2#6292611yescharacteristic
1816C2D4×H(5,𝔽2)11yescharacteristic
1817C2#6298811yescharacteristic
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×#3554C2semidirect
2. #59827C2semidirect
3. #59815C2semidirect
4. #59667C2semidirect
5. #59458C2semidirect
6. #59313C2semidirect
7. #59125C2semidirect
8. #48822C2semidirect
9. #47943C2semidirect
10. #47208C2semidirect
11. #46363C2semidirect
12. #45482C2semidirect
13. #45482C2semidirect
14. #45424C2semidirect
15. #45354C2semidirect
16. #42678C2semidirect
17. #42481C2semidirect
18. #39403C2semidirect
19. #39400C2semidirect
20. #39352C2semidirect
21. #39350C2semidirect
22. #39348C2semidirect
23. #39337C2semidirect
24. #37798C2semidirect
25. #37794C2semidirect
26. #37275C2semidirect
27. #36469C2semidirect
28. #36469C2semidirect
29. #36180C2semidirect
30. #36126C2semidirect
31. D4×C4⋊Q8C2semidirect
32. #36116C2semidirect
33. #35277C2semidirect
34. #34938C2semidirect
35. C4×#540C2semidirect
321. #540D4semidirect
1806. C4#3554semidirect

Maximal subgroups

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

subgroupindex
C2×#35542
#598272
#598152
#596672
#594582
#593132
#591252
#488222
#479432
#472082
#463632
#454822
#454242
#453542
#426782
#424812
#394032
#394002
#393522
#393502
#393482
#393372
#377982
#377942
#372752
#364692
#361802
#361262
D4×C4⋊Q82
#361162
#352772
#349382
C4×#5402