Finite Group Databasebeta

← #7987468

Subgroups — #7987468

Order 512.

6934 conjugacy classes of subgroups.

The subgroup lattice has 1871 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3547C211yesmaximal, characteristic, complemented
2C2×Q8×#41C211yesmaximal, characteristic, complemented
3#59659C211yesmaximal, characteristic, complemented
4#59137C212yesmaximal, complemented
5#59100C212yesmaximal, complemented
6#59081C211yesmaximal, characteristic, complemented
7#59050C211yesmaximal, characteristic, complemented
8#51892C214yesmaximal, complemented
9#51777C214yesmaximal, complemented
10#45762C214yesmaximal, complemented
11#45321C212yesmaximal, complemented
12#45313C212yesmaximal, complemented
13#45272C212yesmaximal, complemented
14#45248C212yesmaximal, complemented
15#42681C212yesmaximal, complemented
16#42675C212yesmaximal, complemented
17#42439C212yesmaximal, complemented
18#42434C212yesmaximal, complemented
19#39616C211yesmaximal, characteristic, complemented
20#39360C211yesmaximal, characteristic, complemented
21#39343C211yesmaximal, characteristic, complemented
22#39127C211yesmaximal, characteristic, complemented
23#37795C214yesmaximal, complemented
24#37783C212yesmaximal, complemented
25#37690C212yesmaximal, complemented
26Q8×#121C211yesmaximal, characteristic, complemented
27#36423C212yesmaximal, complemented
28#36411C212yesmaximal, complemented
29#36404C211yesmaximal, characteristic, complemented
30#36134C211yesmaximal, characteristic, complemented
31#35156C212yesmaximal, complemented
32#35153C212yesmaximal, complemented
33#34715C211yesmaximal, characteristic, complemented
34#34708C211yesmaximal, characteristic, complemented
35#34484C211yesmaximal, characteristic, complemented
36#3547—216no—
37C2×#562C2214yes—
38Q8×#41—216no—
39C2×Q82C2211yescharacteristic
40C2×#557C2212yes—
41C2×#557C2211yescharacteristic
42C2×#555C2211yescharacteristic
43C2×#555C2212yes—
44C2×#554C2214yes—
45C2×#554C2212yes—
46C2×#554C2212yes—
47C2×#554C2211yescharacteristic
48C2×#553C2212yes—
49C2×#552C2212yes—
50C2×D4×Q8C2212yes—
51C2×D4×Q8C2211yescharacteristic
52C2×D4×Q8C2211yescharacteristic
53C2×D4×Q8C2212yes—
54C2×#548C2212yes—
55C2×#547C2211yescharacteristic
56C2×#544C2212yes—
57C2×#542C2214yes—
58C2×#540C2212yes—
59C2×#537C2212yes—
60C2×#536C2212yes—
61C2×#536C2212yes—
62C2×#536C2212yes—
63C2×#533C2212yes—
64C2×#533C2211yescharacteristic
65C2×#533C2211yescharacteristic
66C2×#533C2212yes—
67C2×#533C2214yes—
68C2×#532C2211yescharacteristic
69C2×#529C2211yescharacteristic
70C2×C4×#41C2211yescharacteristic
71C2×C4×#41C2212yes—
72C22×C4×Q8C2212yes—
73C22×C4×Q8C2211yescharacteristic
74#2868C2211yescharacteristic
75#2857C2211yescharacteristic
76#2857C2211yescharacteristic
77#2857C2212yes—
78#2855C2212yes—
79#2854C2214yes—
80#2854C2214yes—
81#2853C2214yes—
82#2816C2214yes—
83#2814C2214yes—
84#2731C2214yes—
85#2730C2214yes—
86#2729C2214yes—
87#2726C2214yes—
88#2725C2214yes—
89#2725C2214yes—
90#2720C2214yes—
91#2720C2214yes—
92#2720C2214yes—
93#2713C2214yes—
94#2711C2214yes—
95#2707C2214yes—
96#2707C2214yes—
97#2704C2214yes—
98#2702C2214yes—
99#2700C2214yes—
100#2700C2214yes—
101#2692C2214yes—
102#2687C2214yes—
103#2683C2214yes—
104#2681C2214yes—
105#2680C2214yes—
106#2680C2214yes—
107#2680C2214yes—
108#2677C2214yes—
109#2677C2214yes—
110#2676C2214yes—
111#2674C2214yes—
112#2674C2214yes—
113#2674C2214yes—
114#2674C2214yes—
115#2672C2214yes—
116#2672C2214yes—
117#2660C2212yes—
118#2635C2214yes—
119#2630C2214yes—
120#2629C2212yes—
121#2625C2214yes—
122#2621C2212yes—
123#2620C2214yes—
124#2618C2214yes—
125#2618C2214yes—
126#2616C2212yes—
127#2568C2211yescharacteristic
128#2567C2212yes—
129#2566C2212yes—
130#2562C2212yes—
131#2556C2214yes—
132#2552C2212yes—
133#2551C2214yes—
134#2551C2212yes—
135#2550C2212yes—
136#2547C2211yescharacteristic
137#2546C2212yes—
138#2546C2211yescharacteristic
139#2545C2214yes—
140#2545C2212yes—
141#2542C2212yes—
142#2542C2211yescharacteristic
143#2540C2212yes—
144#2538C2212yes—
145#2538C2212yes—
146#2538C2211yescharacteristic
147#2538C2211yescharacteristic
148#2538C2212yes—
149#2492C2212yes—
150#2491C2212yes—
151#2491C2212yes—
152#2491C2212yes—
153#2490C2212yes—
154#2485C2214yes—
155#2484C2214yes—
156#2481C2212yes—
157#2476C2214yes—
158#2476C2212yes—
159#2474C2214yes—
160#2474C2214yes—
161#2474C2212yes—
162#2470C2214yes—
163#2470C2214yes—
164#2469C2214yes—
165#2469C2214yes—
166#2469C2212yes—
167#2465C2214yes—
168#2463C2214yes—
169#2462C2214yes—
170#2462C2214yes—
171#2461C2214yes—
172#2461C2214yes—
173#2461C2214yes—
174#2460C2214yes—
175#2459C2212yes—
176#2458C2214yes—
177#2458C2212yes—
178#2457C2214yes—
179#2456C2212yes—
180#2456C2214yes—
181#2455C2214yes—
182#2453C2211yescharacteristic
183#2453C2212yes—
184#2453C2212yes—
185#2452C2214yes—
186#2451C2214yes—
187#2451C2211yescharacteristic
188#2451C2212yes—
189#2448C2211yescharacteristic
190#2448C2214yes—
191#2446C2214yes—
192#2445C2212yes—
193#2445C2211yescharacteristic
194#2443C2212yes—
195#2442C2211yescharacteristic
196#2441C2212yes—
197#2441C2212yes—
198#2441C2212yes—
199#2440C2212yes—
200#2440C2212yes—
201#2439C2212yes—
202#2439C2212yes—
203#2439C2212yes—
204#2439C2211yescharacteristic
205#2436C2211yescharacteristic
206#2434C2212yes—
207#2434C2212yes—
208#2434C2212yes—
209#2432C2212yes—
210#2431C2211yescharacteristic
211#2429C2212yes—
212#2429C2212yes—
213#2429C2212yes—
214#2429C2212yes—
215#2429C2214yes—
216#2429C2212yes—
217#2429C2212yes—
218#2429C2212yes—
219#2429C2214yes—
220#2429C2214yes—
221#2426C2211yescharacteristic
222#2426C2212yes—
223#2426C2214yes—
224#2426C2214yes—
225#2426C2212yes—
226#2426C2211yescharacteristic
227#2426C2212yes—
228#2426C2212yes—
229#2423C2212yes—
230#2423C2212yes—
231#2422C2212yes—
232#2422C2212yes—
233#2422C2212yes—
234#2421C2211yescharacteristic
235#2420C2212yes—
236#2420C2211yescharacteristic
237#2417C2214yes—
238#2417C2212yes—
239#2416C2211yescharacteristic
240#2415C2212yes—
241#2415C2212yes—
242#2415C2212yes—
243#2414C2211yescharacteristic
244#2414C2212yes—
245#2414C2214yes—
246#2413C2214yes—
247#2409C2211yescharacteristic
248#2409C2212yes—
249#2407C2212yes—
250#2407C2212yes—
251#2407C2211yescharacteristic
252#2398C2212yes—
253#2396C2212yes—
254#2392C2212yes—
255#2388C2212yes—
256#2378C2214yes—
257#2370C2212yes—
258#2369C2211yescharacteristic
259#2367C2214yes—
260#2365C2212yes—
261#2365C2212yes—
262#2362C2212yes—
263#2362C2212yes—
264#2362C2212yes—
265#2362C2212yes—
266#2362C2212yes—
267#2360C2212yes—
268#2354C2212yes—
269#2354C2211yescharacteristic
270#2354C2212yes—
271#2354C2212yes—
272#2352C2212yes—
273Q8×C4⋊C4C2212yes—
274Q8×C4⋊C4C2211yescharacteristic
275#2344C2212yes—
276Q8×C22⋊C4C2212yes—
277#2330C2212yes—
278#2326C2212yes—
279#2323C2214yes—
280#2323C2212yes—
281#2323C2212yes—
282#2319C2212yes—
283#2316C2212yes—
284C4×C4⋊Q8C2211yescharacteristic
285C4×#124C2211yescharacteristic
286C4×#124C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2211yescharacteristic
289C4×#123C2212yes—
290C4×#121C2212yes—
291C4×#121C2212yes—
292C4×#121C2211yescharacteristic
293C4×#121C2211yescharacteristic
294#2297C2212yes—
295#2297C2212yes—
296#2296C2214yes—
297#2295C2211yescharacteristic
298#2293C2211yescharacteristic
299#2290C2212yes—
300C42×D4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C23×Q8C2312yes—
305C23×Q8C2311yescharacteristic
306C23×Q8C2312yes—
307#562—232no—
308Q82—28no—
309#557—216no—
310#557—28no—
311#555—28no—
312#555—216no—
313#554—232no—
314#554—216no—
315#554—216no—
316#554D4116yescomplemented
317#553—216no—
318#552—216no—
319D4×Q8—216no—
320D4×Q8—28no—
321D4×Q8—28no—
322D4×Q8—48no—
323#548—216no—
324#547—28no—
325#544—216no—
326#542—232no—
327#540—216no—
328#537—216no—
329#536—216no—
330#536—48no—
331#536—48no—
332#533—28no—
333#533—28no—
334#533—216no—
335#533—216no—
336#533—232no—
337#532—28no—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2314yes—
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2314yes—
349C2×C4⋊Q8C2314yes—
350C2×C4⋊Q8C2312yes—
351C2×C4⋊Q8C2312yes—
352C2×C4⋊Q8C2314yes—
353C2×C4⋊Q8C2314yes—
354C2×C4⋊Q8C2311yescharacteristic
355C2×#127C2311yescharacteristic
356#529—28no—
357C2×#126C2312yes—
358C2×#126C2314yes—
359C2×#125C2312yes—
360C2×#125C2311yescharacteristic
361C2×#125C2312yes—
362C2×#125C2312yes—
363C2×#125C2314yes—
364C2×#125C2314yes—
365C2×#125C2314yes—
366C2×#125C2314yes—
367C2×#125C2312yes—
368C2×#124C2311yescharacteristic
369C2×#124C2311yescharacteristic
370C2×#124C2312yes—
371C2×#124C2314yes—
372C2×#124C2314yes—
373C2×#124C2311yescharacteristic
374C2×#124C2314yes—
375C2×#124C2314yes—
376C2×#124C2314yes—
377C2×#124C2312yes—
378C2×#123C2314yes—
379C2×#123C2312yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×#123C2314yes—
386C2×#123C2314yes—
387C2×#123C2312yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2311yescharacteristic
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2311yescharacteristic
395C2×C22⋊Q8C2311yescharacteristic
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2314yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2314yes—
419C2×#121C2314yes—
420C2×#121C2314yes—
421C2×#121C2311yescharacteristic
422C2×#121C2312yes—
423C2×#121C2311yescharacteristic
424C2×#121C2311yescharacteristic
425C2×#121C2312yes—
426C2×#121C2311yescharacteristic
427C2×#121C2312yes—
428C2×#121C2314yes—
429C2×#121C2314yes—
430C2×#121C2312yes—
431C2×#121C2311yescharacteristic
432C2×#121C2312yes—
433C4×#41—216no—
434C4×#41—28no—
435C2×C4×Q8—28no—
436C2×C4×Q8—216no—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2311yescharacteristic
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2314yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2314yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2314yes—
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2311yescharacteristic
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2314yes—
463C2×C4×D4C2314yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2314yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×C4×D4C2314yes—
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2312yes—
477C2×C4×D4C2311yescharacteristic
478C2×#117C2312yes—
479C2×#117C2311yescharacteristic
480C2×#117C2312yes—
481C2×#117C2312yes—
482C2×#117C2312yes—
483C2×#117C2312yes—
484C2×#117C2314yes—
485C2×#117C2312yes—
486C2×#117C2314yes—
487C2×#117C2312yes—
488C2×#117C2312yes—
489C2×#117C2314yes—
490C22×C4⋊C4C2312yes—
491C22×C4⋊C4C2314yes—
492C22×C4⋊C4C2311yescharacteristic
493C22×C4⋊C4C2312yes—
494C22×C4⋊C4C2312yes—
495C22×C42C2314yes—
496C22×C42C2312yes—
497C22×C42C2311yescharacteristic
498C22×C42C2312yes—
499C22×C42C2311yescharacteristic
500#400C2314yes—
501#400C2314yes—
502#400C2312yes—
503#400C2314yes—
504#400C2312yes—
505#400C2312yes—
506#399C2314yes—
507#399C2314yes—
508#399C2314yes—
509#399C2312yes—
510#399C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2314yes—
518#398C2314yes—
519#398C2314yes—
520#398C2314yes—
521#398C2314yes—
522#398C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2314yes—
526#398C2314yes—
527#397C2314yes—
528#397C2314yes—
529#397C2312yes—
530#397C2314yes—
531#397C2314yes—
532#397C2312yes—
533#397C2312yes—
534#397C2314yes—
535#397C2314yes—
536#396C2314yes—
537#396C2314yes—
538#396C2312yes—
539#396C2314yes—
540#396C2314yes—
541#396C2314yes—
542#396C2314yes—
543#396C2314yes—
544#396C2314yes—
545#396C2312yes—
546#396C2314yes—
547#396C2314yes—
548#396C2314yes—
549#396C2314yes—
550#396C2312yes—
551#396C2312yes—
552#396C2314yes—
553#396C2314yes—
554#396C2314yes—
555#396C2314yes—
556#395C2314yes—
557#395C2314yes—
558#395C2314yes—
559#395C2312yes—
560#395C2312yes—
561#395C2314yes—
562#395C2314yes—
563#395C2314yes—
564#395C2314yes—
565#395C2314yes—
566#395C2314yes—
567#394C2312yes—
568#394C2312yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2314yes—
575#394C2312yes—
576#394C2314yes—
577#394C2314yes—
578#394C2312yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2312yes—
585#394C2312yes—
586#394C2312yes—
587#394C2312yes—
588#393C2314yes—
589#393C2314yes—
590#393C2312yes—
591#393C2312yes—
592#393C2312yes—
593#393C2312yes—
594#393C2314yes—
595#393C2314yes—
596#392C2312yes—
597#392C2312yes—
598#392C2314yes—
599#392C2314yes—
600#392C2312yes—
601#392C2312yes—
602#391C2312yes—
603#391C2311yescharacteristic
604#391C2312yes—
605#391C2312yes—
606#391C2312yes—
607#391C2311yescharacteristic
608#391C2311yescharacteristic
609#391C2314yes—
610#391C2312yes—
611#391C2314yes—
612#391C2312yes—
613#391C2314yes—
614#391C2312yes—
615#391C2311yescharacteristic
616#391C2311yescharacteristic
617#391C2312yes—
618#391C2314yes—
619#391C2311yescharacteristic
620#391C2314yes—
621#391C2314yes—
622#391C2312yes—
623#391C2312yes—
624#390C2311yescharacteristic
625#390C2312yes—
626#390C2311yescharacteristic
627#390C2312yes—
628#390C2312yes—
629#390C2314yes—
630#390C2314yes—
631#390C2314yes—
632#390C2311yescharacteristic
633#390C2314yes—
634#390C2314yes—
635#390C2314yes—
636#390C2312yes—
637#390C2312yes—
638#390C2311yescharacteristic
639#390C2311yescharacteristic
640#390C2312yes—
641#390C2311yescharacteristic
642#390C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2314yes—
646#389C2314yes—
647#389C2311yescharacteristic
648#389C2314yes—
649#389C2312yes—
650#389C2312yes—
651#389C2314yes—
652#389C2312yes—
653#389C2314yes—
654#389C2312yes—
655#389C2314yes—
656#389C2314yes—
657#389C2311yescharacteristic
658#389C2314yes—
659#389C2314yes—
660#389C2314yes—
661#389C2311yescharacteristic
662#389C2312yes—
663#389C2311yescharacteristic
664#389C2312yes—
665#389C2312yes—
666#389C2312yes—
667#389C2312yes—
668#389C2312yes—
669#389C2314yes—
670#389C2314yes—
671#389C2314yes—
672#389C2314yes—
673#389C2314yes—
674#389C2311yescharacteristic
675#389C2311yescharacteristic
676#389C2311yescharacteristic
677#389C2314yes—
678#389C2311yescharacteristic
679#389C2312yes—
680#389C2312yes—
681#389C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2312yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2312yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2312yes—
710#388C2312yes—
711#388C2314yes—
712#388C2312yes—
713#388C2312yes—
714#388C2312yes—
715#388C2312yes—
716#388C2312yes—
717#388C2312yes—
718#388C2312yes—
719#388C2312yes—
720#388C2312yes—
721#388C2312yes—
722#387C2312yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2312yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#387C2312yes—
740#387C2312yes—
741#387C2312yes—
742#387C2312yes—
743#387C2312yes—
744#387C2312yes—
745#386C2312yes—
746#386C2314yes—
747#386C2314yes—
748#386C2312yes—
749#386C2312yes—
750#386C2314yes—
751#386C2314yes—
752#386C2312yes—
753#386C2312yes—
754#386C2314yes—
755#386C2312yes—
756#386C2312yes—
757#386C2312yes—
758#386C2312yes—
759#386C2312yes—
760#386C2312yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2312yes—
770#385C2312yes—
771#385C2314yes—
772#385C2312yes—
773#385C2314yes—
774#385C2312yes—
775#385C2314yes—
776#385C2312yes—
777#384C2311yescharacteristic
778#384C2312yes—
779#384C2312yes—
780#384C2312yes—
781#384C2312yes—
782#384C2312yes—
783#384C2314yes—
784#384C2312yes—
785#382C2312yes—
786#382C2311yescharacteristic
787#382C2311yescharacteristic
788#381C2314yes—
789#381C2314yes—
790#381C2312yes—
791#380C2311yescharacteristic
792#380C2312yes—
793#380C2312yes—
794#380C2312yes—
795#380C2314yes—
796#380C2314yes—
797#380C2312yes—
798#380C2312yes—
799#380C2314yes—
800#380C2312yes—
801#380C2311yescharacteristic
802#380C2314yes—
803#380C2312yes—
804#380C2312yes—
805#380C2312yes—
806#380C2311yescharacteristic
807#380C2311yescharacteristic
808#380C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2314yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2314yes—
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2314yes—
822C4×C4⋊C4C2314yes—
823C4×C4⋊C4C2314yes—
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2311yescharacteristic
845C4×C22⋊C4C2311yescharacteristic
846#376C2312yes—
847C43C2311yescharacteristic
848C2×#41—24no—
849C2×#41—24no—
850C2×#41—28no—
851C2×#41—28no—
852C2×#41—24no—
853C2×#41—44no—
854C2×#41—44no—
855C2×#41—44no—
856C2×#41—44no—
857C22×Q8—24no—
858C22×Q8—28no—
859C22×Q8—24no—
860C22×Q8—28no—
861C22×Q8—28no—
862C22×Q8—44no—
863C22×Q8—42no—
864C22×Q8—44no—
865C22×Q8—44no—
866C22×Q8C2412yes—
867C22×Q8C2412yes—
868C22×Q8C2414yes—
869C22×Q8C2412yes—
870C22×Q8C2411yescharacteristic
871C22×Q8C2411yescharacteristic
872C22×Q8C2411yescharacteristic
873C22×Q8C2414yes—
874C22×Q8C2414yes—
875C22×Q8C2412yes—
876C22×Q8C2412yes—
877C22×D4C2412yes—
878C22×D4C2411yescharacteristic
879C22×D4C2411yescharacteristic
880C22×D4C2411yescharacteristic
881C22×D4C2411yescharacteristic
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2414yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2414yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C23×C4C2412yes—
892C23×C4C2411yescharacteristic
893C23×C4C2412yes—
894C23×C4C2411yescharacteristic
895C23×C4C2412yes—
896C23×C4C2411yescharacteristic
897C23×C4C2412yes—
898C23×C4C2414yes—
899C23×C4C2412yes—
900C23×C4C2411yescharacteristic
901C23×C4C2411yescharacteristic
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2414yes—
905C23×C4C2414yes—
906C23×C4C2411yescharacteristic
907C23×C4C2414yes—
908C4⋊Q8—28no—
909C4⋊Q8—216no—
910C4⋊Q8—28no—
911C4⋊Q8—24no—
912C4⋊Q8—216no—
913C4⋊Q8—28no—
914C4⋊Q8—28no—
915C4⋊Q8—28no—
916C4⋊Q8—216no—
917C4⋊Q8—24no—
918C4⋊Q8—24no—
919C4⋊Q8—28no—
920C4⋊Q8—44no—
921C4⋊Q8—44no—
922C4⋊Q8—48no—
923C4⋊Q8—48no—
924C4⋊Q8C2×D418yes—
925#127—24no—
926#126—28no—
927#126—216no—
928#125—24no—
929#125—28no—
930#125—216no—
931#125—28no—
932#125—216no—
933#125—216no—
934#125—216no—
935#125—28no—
936#125C2×D4116yes—
937#124—24no—
938#124—216no—
939#124—24no—
940#124—24no—
941#124—28no—
942#124—216no—
943#124—216no—
944#124—48no—
945#124—44no—
946#124—48no—
947#123—216no—
948#123—28no—
949#123—216no—
950#123—216no—
951#123—216no—
952#123—44no—
953#123—48no—
954#123—48no—
955#123—48no—
956#123—48no—
957C22⋊Q8—24no—
958C22⋊Q8—28no—
959C22⋊Q8—28no—
960C22⋊Q8—24no—
961C22⋊Q8—28no—
962C22⋊Q8—28no—
963C22⋊Q8—24no—
964C22⋊Q8—28no—
965C22⋊Q8—216no—
966C22⋊Q8—28no—
967C22⋊Q8—28no—
968C22⋊Q8—216no—
969C22⋊Q8—28no—
970C22⋊Q8—216no—
971C22⋊Q8—216no—
972C22⋊Q8—28no—
973C22⋊Q8—216no—
974C22⋊Q8—216no—
975C22⋊Q8—216no—
976C22⋊Q8—216no—
977C22⋊Q8—216no—
978C22⋊Q8—48no—
979C22⋊Q8—48no—
980C22⋊Q8—48no—
981C22⋊Q8—48no—
982C22⋊Q8—44no—
983C22⋊Q8—44no—
984C22⋊Q8—44no—
985C22⋊Q8—44no—
986C22⋊Q8C2×D4116yes—
987C22⋊Q8C2×D4132yes—
988#121—24no—
989#121—28no—
990#121—216no—
991#121—216no—
992#121—24no—
993#121—24no—
994#121—24no—
995#121—28no—
996#121—216no—
997#121—28no—
998#121—28no—
999#121—216no—
1000#121—44no—
1001#121—42no—
1002C4×Q8—24no—
1003C4×Q8—28no—
1004C4×Q8—28no—
1005C4×Q8—24no—
1006C4×Q8—28no—
1007C4×Q8—28no—
1008C4×Q8—216no—
1009C4×Q8—28no—
1010C4×Q8—216no—
1011C4×Q8—28no—
1012C4×Q8—24no—
1013C4×Q8—28no—
1014C4×Q8—216no—
1015C4×Q8—28no—
1016C4×Q8—24no—
1017C4×Q8—28no—
1018C4×Q8—28no—
1019C4×Q8—24no—
1020C4×Q8—44no—
1021C4×Q8—44no—
1022C4×Q8C2×D418yes—
1023C4×D4—28no—
1024C4×D4—24no—
1025C4×D4—28no—
1026C4×D4—216no—
1027C4×D4—28no—
1028C4×D4—24no—
1029C4×D4—28no—
1030C4×D4—216no—
1031C4×D4—216no—
1032C4×D4—28no—
1033C4×D4—24no—
1034C4×D4—28no—
1035C4×D4—24no—
1036C4×D4—28no—
1037C4×D4—42no—
1038C4×D4—42no—
1039C4×D4—44no—
1040C4×D4—48no—
1041C4×D4C2×D418yes—
1042C4×D4C2×D4116yes—
1043#117—216no—
1044#117—24no—
1045#117—28no—
1046#117—28no—
1047#117—28no—
1048#117—28no—
1049#117—28no—
1050#117—216no—
1051#117—28no—
1052#117—44no—
1053#117—48no—
1054#117—44no—
1055C2×C4⋊C4—216no—
1056C2×C4⋊C4—28no—
1057C2×C4⋊C4—24no—
1058C2×C4⋊C4—28no—
1059C2×C4⋊C4C2×D4116yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2414yes—
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×C22⋊C4C2414yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2411yescharacteristic
1174C2×C22⋊C4C2411yescharacteristic
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2411yescharacteristic
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2414yes—
1194C2×C42—216no—
1195C2×C42—28no—
1196C2×C42—24no—
1197C2×C42—28no—
1198C2×C42—24no—
1199C2×C42C2414yes—
1200C2×C42C2414yes—
1201C2×C42C2412yes—
1202C2×C42C2412yes—
1203C2×C42C2411yescharacteristic
1204C2×C42C2414yes—
1205C2×C42C2411yescharacteristic
1206C2×C42C2411yescharacteristic
1207C2×C42C2412yes—
1208C2×C42C2414yes—
1209C2×C42C2411yescharacteristic
1210C2×C42C2411yescharacteristic
1211C2×C42C2412yes—
1212C2×C42C2414yes—
1213C2×C42C2412yes—
1214C2×C42C2412yes—
1215C2×C42C2414yes—
1216C2×C42C2411yescharacteristic
1217C2×C42C2411yescharacteristic
1218C2×C42C2411yescharacteristic
1219C2×C42C2412yes—
1220C2×C42C2411yescharacteristic
1221C2×C42C2412yes—
1222C2×C42C2411yescharacteristic
1223C2×C42C2411yescharacteristic
1224C2×C42C2414yes—
1225C2×C42C2414yes—
1226C2×C42C2414yes—
1227C2×C42C2411yescharacteristic
1228C2×C42C2412yes—
1229C2×C42C2411yescharacteristic
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2414yes—
1235#95C2411yescharacteristic
1236#95C2411yescharacteristic
1237#95C2411yescharacteristic
1238#95C2411yescharacteristic
1239#95C2411yescharacteristic
1240#95C2411yescharacteristic
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2414yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2414yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2414yes—
1265#95C2412yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2412yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286C24C2511yescharacteristic
1287C24C2512yes—
1288C24C2512yes—
1289C24C2512yes—
1290C24C2511yescharacteristic
1291#41—232no—
1292#41—816no—
1293#41—816no—
1294C2×Q8—22no—
1295C2×Q8—22no—
1296C2×Q8—28no—
1297C2×Q8—24no—
1298C2×Q8—24no—
1299C2×Q8—24no—
1300C2×Q8—28no—
1301C2×Q8—28no—
1302C2×Q8—24no—
1303C2×Q8—22no—
1304C2×Q8—28no—
1305C2×Q8—24no—
1306C2×Q8—24no—
1307C2×Q8—24no—
1308C2×Q8—22no—
1309C2×Q8—22no—
1310C2×Q8—22no—
1311C2×Q8—24no—
1312C2×Q8—24no—
1313C2×Q8—42no—
1314C2×Q8—44no—
1315C2×Q8—42no—
1316C2×Q8—42no—
1317C2×Q8—44no—
1318C2×Q8—44no—
1319C2×Q8—42no—
1320C2×Q8—44no—
1321C2×Q8—44no—
1322C2×Q8—42no—
1323C2×Q8—432no—
1324C2×Q8—416no—
1325C2×Q8—816no—
1326C2×Q8C22×D414yes—
1327C2×Q8C22×D418yes—
1328C2×Q8H(5,𝔽2)14yes—
1329C2×Q82−1+414yes—
1330C2×D4—24no—
1331C2×D4—24no—
1332C2×D4—22no—
1333C2×D4—24no—
1334C2×D4—24no—
1335C2×D4—28no—
1336C2×D4—24no—
1337C2×D4—24no—
1338C2×D4—24no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—24no—
1342C2×D4—28no—
1343C2×D4—24no—
1344C2×D4—22no—
1345C2×D4—24no—
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—42no—
1353C2×D4—41no—
1354C2×D4—42no—
1355C2×D4—42no—
1356C2×D4—42no—
1357C2×D4—42no—
1358C2×D4—42no—
1359C2×D4—44no—
1360C2×D4—42no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—44no—
1364C2×D4—42no—
1365C2×D4—44no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—44no—
1371C2×D4C22×D414yes—
1372C22×C4—24no—
1373C22×C4—22no—
1374C22×C4—24no—
1375C22×C4—24no—
1376C22×C4—24no—
1377C22×C4—22no—
1378C22×C4—24no—
1379C22×C4—28no—
1380C22×C4—24no—
1381C22×C4—24no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—24no—
1386C22×C4—24no—
1387C22×C4—24no—
1388C22×C4—22no—
1389C22×C4—24no—
1390C22×C4—22no—
1391C22×C4—28no—
1392C22×C4—24no—
1393C22×C4—22no—
1394C22×C4—24no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—24no—
1399C22×C4—22no—
1400C22×C4—24no—
1401C22×C4—22no—
1402C22×C4—28no—
1403C22×C4—28no—
1404C22×C4—44no—
1405C22×C4—44no—
1406C22×C4—42no—
1407C22×C4—44no—
1408C22×C4—44no—
1409C22×C4—41no—
1410C22×C4—41no—
1411C22×C4—42no—
1412C22×C4—44no—
1413C22×C4—42no—
1414C22×C4—41no—
1415C22×C4—41no—
1416C22×C4—42no—
1417C22×C4—42no—
1418C22×C4—44no—
1419C22×C4—44no—
1420C22×C4C22×D418yes—
1421C22×C4C22×D4116yes—
1422C22×C42−1+414yes—
1423C22×C4C2511yescharacteristic
1424C22×C4C2512yes—
1425C22×C4C2512yes—
1426C22×C4C2511yescharacteristic
1427C22×C4C2511yescharacteristic
1428C22×C4C2512yes—
1429C22×C4C2512yes—
1430C22×C4C2511yescharacteristic
1431C22×C4C2511yescharacteristic
1432C22×C4C2512yes—
1433C22×C4C2514yes—
1434C22×C4C2512yes—
1435C22×C4C2512yes—
1436C22×C4C2511yescharacteristic
1437C22×C4C2512yes—
1438C22×C4C2511yescharacteristic
1439C22×C4C2514yes—
1440C22×C4C2514yes—
1441C22×C4C2511yescharacteristic
1442C22×C4C2514yes—
1443C22×C4C2511yescharacteristic
1444C22×C4C2512yes—
1445C22×C4C2512yes—
1446C22×C4C2512yes—
1447C22×C4C2512yes—
1448C22×C4C2511yescharacteristic
1449C22×C4C2512yes—
1450C22×C4C2511yescharacteristic
1451C22×C4C2511yescharacteristic
1452C22×C4C2511yescharacteristic
1453C4⋊C4—24no—
1454C4⋊C4—24no—
1455C4⋊C4—28no—
1456C4⋊C4—24no—
1457C4⋊C4—28no—
1458C4⋊C4—24no—
1459C4⋊C4—28no—
1460C4⋊C4—24no—
1461C4⋊C4—22no—
1462C4⋊C4—28no—
1463C4⋊C4—22no—
1464C4⋊C4—22no—
1465C4⋊C4—24no—
1466C4⋊C4—28no—
1467C4⋊C4—24no—
1468C4⋊C4—24no—
1469C4⋊C4—28no—
1470C4⋊C4—22no—
1471C4⋊C4—24no—
1472C4⋊C4—28no—
1473C4⋊C4—24no—
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—28no—
1477C4⋊C4—28no—
1478C4⋊C4—24no—
1479C4⋊C4—28no—
1480C4⋊C4—24no—
1481C4⋊C4—28no—
1482C4⋊C4—28no—
1483C4⋊C4—22no—
1484C4⋊C4—24no—
1485C4⋊C4—28no—
1486C4⋊C4—28no—
1487C4⋊C4—24no—
1488C4⋊C4—28no—
1489C4⋊C4—22no—
1490C4⋊C4—24no—
1491C4⋊C4—22no—
1492C4⋊C4—24no—
1493C4⋊C4—22no—
1494C4⋊C4—24no—
1495C4⋊C4—28no—
1496C4⋊C4—24no—
1497C4⋊C4—22no—
1498C4⋊C4—22no—
1499C4⋊C4—42no—
1500C4⋊C4—44no—
1501C4⋊C4—42no—
1502C4⋊C4—44no—
1503C4⋊C4—42no—
1504C4⋊C4—42no—
1505C4⋊C4—41no—
1506C4⋊C4—42no—
1507C4⋊C4—44no—
1508C4⋊C4—42no—
1509C4⋊C4—44no—
1510C4⋊C4—44no—
1511C4⋊C4—44no—
1512C4⋊C4—44no—
1513C4⋊C4—44no—
1514C4⋊C4—44no—
1515C4⋊C4—44no—
1516C4⋊C4—42no—
1517C4⋊C4—44no—
1518C4⋊C4—44no—
1519C4⋊C4C22×D414yes—
1520C4⋊C4C22×D414yes—
1521C4⋊C4C22×D418yes—
1522C4⋊C4C22×D418yes—
1523C4⋊C4C22×D4116yes—
1524C4⋊C4C22×D418yes—
1525C4⋊C4C22×D4116yes—
1526C22⋊C4—24no—
1527C22⋊C4—28no—
1528C22⋊C4—24no—
1529C22⋊C4—28no—
1530C22⋊C4—22no—
1531C22⋊C4—24no—
1532C22⋊C4—28no—
1533C22⋊C4—24no—
1534C22⋊C4—24no—
1535C22⋊C4—24no—
1536C22⋊C4—28no—
1537C22⋊C4—28no—
1538C22⋊C4—28no—
1539C22⋊C4—24no—
1540C22⋊C4—24no—
1541C22⋊C4—28no—
1542C22⋊C4—24no—
1543C22⋊C4—24no—
1544C22⋊C4—24no—
1545C22⋊C4—28no—
1546C22⋊C4—24no—
1547C22⋊C4—24no—
1548C22⋊C4—24no—
1549C22⋊C4—22no—
1550C22⋊C4—24no—
1551C22⋊C4—24no—
1552C22⋊C4—28no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—24no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—42no—
1560C22⋊C4—42no—
1561C22⋊C4—42no—
1562C22⋊C4—42no—
1563C22⋊C4—42no—
1564C22⋊C4—44no—
1565C22⋊C4—42no—
1566C22⋊C4—42no—
1567C22⋊C4—44no—
1568C22⋊C4—41no—
1569C22⋊C4—41no—
1570C22⋊C4—41no—
1571C22⋊C4—41no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4—44no—
1575C22⋊C4—42no—
1576C22⋊C4—42no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—42no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4C22×D418yes—
1586C22⋊C4C22×D4116yes—
1587C42—24no—
1588C42—22no—
1589C42—28no—
1590C42—22no—
1591C42—24no—
1592C42—24no—
1593C42—22no—
1594C42—22no—
1595C42—24no—
1596C42—28no—
1597C42—22no—
1598C42—28no—
1599C42—24no—
1600C42—24no—
1601C42—22no—
1602C42—28no—
1603C42—28no—
1604C42—22no—
1605C42—24no—
1606C42—22no—
1607C42—24no—
1608C42—22no—
1609C42—28no—
1610C42—22no—
1611C42—22no—
1612C42—41no—
1613C42—44no—
1614C42—44no—
1615C42—44no—
1616C42C22×D414yes—
1617C42C22×D418yes—
1618C23—21no—
1619C23—21no—
1620C23—22no—
1621C23—22no—
1622C23—22no—
1623C23—21no—
1624C23—22no—
1625C23—21no—
1626C23—21no—
1627C23—22no—
1628C23—22no—
1629C23—21no—
1630C23—21no—
1631C23—22no—
1632C23—22no—
1633C23—21no—
1634C23—22no—
1635C23—22no—
1636C23—21no—
1637C23—22no—
1638C23—22no—
1639C23—21no—
1640C23—22no—
1641C23—22no—
1642C23—22no—
1643C23—22no—
1644C23—21no—
1645C23—22no—
1646C23—21no—
1647C23—22no—
1648C23—21no—
1649C23—22no—
1650C23—22no—
1651C23C23×D414yes—
1652C23C2×2−1+412yes—
1653C23C2611yescharacteristic
1654Q8—28no—
1655Q8—28no—
1656Q8—28no—
1657Q8—48no—
1658Q8—416no—
1659Q8—48no—
1660Q8—48no—
1661Q8—48no—
1662Q8—88no—
1663Q8—88no—
1664Q8—84no—
1665D4—216no—
1666D4—28no—
1667D4—44no—
1668D4—48no—
1669D4—44no—
1670D4—44no—
1671D4—84no—
1672D4—88no—
1673D4—84no—
1674D4—84no—
1675D4—84no—
1676D4—84no—
1677D4—84no—
1678D4—88no—
1679C2×C4—216no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—22no—
1688C2×C4—24no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—22no—
1697C2×C4—24no—
1698C2×C4—28no—
1699C2×C4—216no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—21no—
1708C2×C4—24no—
1709C2×C4—21no—
1710C2×C4—24no—
1711C2×C4—22no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—24no—
1717C2×C4—24no—
1718C2×C4—21no—
1719C2×C4—22no—
1720C2×C4—24no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—24no—
1729C2×C4—21no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—21no—
1733C2×C4—22no—
1734C2×C4—24no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—24no—
1746C2×C4—21no—
1747C2×C4—22no—
1748C2×C4—24no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—22no—
1752C2×C4—21no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—21no—
1757C2×C4—416no—
1758C2×C4—48no—
1759C2×C4—416no—
1760C2×C4—44no—
1761C2×C4—48no—
1762C2×C4—44no—
1763C2×C4—48no—
1764C2×C4—44no—
1765C2×C4—84no—
1766C2×C4—82no—
1767C2×C4—82no—
1768C2×C4—88no—
1769C2×C4—88no—
1770C2×C4—84no—
1771C2×C4C23×D418yes—
1772C2×C4C23×D414yes—
1773C2×C4C23×D412yes—
1774C2×C4C23×D414yes—
1775C2×C4C23×D414yes—
1776C2×C4C23×D412yes—
1777C2×C4C23×D412yes—
1778C2×C4C2×H(5,𝔽2)14yes—
1779C2×C4C2×H(5,𝔽2)12yes—
1780C2×C4C2×2−1+412yes—
1781C2×C4C2×2−1+414yes—
1782C2×C4C2×2−1+412yes—
1783C2×C4C2×2−1+412yes—
1784C2×C4#58512yes—
1785C2×C4#58512yes—
1786C22—24no—
1787C22—22no—
1788C22—24no—
1789C22—22no—
1790C22—24no—
1791C22—22no—
1792C22—41no—
1793C22—42no—
1794C22—41no—
1795C22—42no—
1796C22—41no—
1797C22—42no—
1798C22—41no—
1799C22—42no—
1800C22—41no—
1801C22—42no—
1802C22—42no—
1803C22—41no—
1804C22—42no—
1805C22—42no—
1806C22—41no—
1807C22—42no—
1808C22—42no—
1809C22—41no—
1810C22—42no—
1811C22—42no—
1812C22—42no—
1813C22—41no—
1814C22—42no—
1815C22—42no—
1816C22—41no—
1817C22—42no—
1818C22—41no—
1819C22—42no—
1820C22—42no—
1821C22C24×D411yescharacteristic
1822C22C22×H(5,𝔽2)11yescharacteristic
1823C22C22×2−1+411yescharacteristic
1824C22C22×2−1+411yescharacteristic
1825C22C2×#58511yescharacteristic
1826C22C2×#58511yescharacteristic
1827C222−1+611yescharacteristic
1828C4—24no—
1829C4—28no—
1830C4—22no—
1831C4—22no—
1832C4—22no—
1833C4—24no—
1834C4—24no—
1835C4—24no—
1836C4—24no—
1837C4—41no—
1838C4—41no—
1839C4—42no—
1840C4—42no—
1841C4—42no—
1842C4—41no—
1843C4—42no—
1844C4—41no—
1845C4—42no—
1846C4—44no—
1847C4—41no—
1848C4—42no—
1849C4—44no—
1850C4—41no—
1851C4—44no—
1852C4—41no—
1853C4—42no—
1854C4—42no—
1855C4—41no—
1856C4#348614yes—
1857C4#348814yes—
1858C2—44no—
1859C2—42no—
1860C2—81no—
1861C2—82no—
1862C2—82no—
1863C2#6275211yescharacteristic
1864C2C2×#348611yescharacteristic
1865C2C2×#348811yescharacteristic
1866C2#6291311yescharacteristic
1867C2#6295311yescharacteristic
1868C2#6298811yescharacteristic
1869C2#6303911yescharacteristic
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×#3547C2semidirect
2. C2×Q8×#41C2semidirect
3. #59659C2semidirect
4. #59137C2semidirect
5. #59100C2semidirect
6. #59081C2semidirect
7. #59050C2semidirect
8. #51892C2semidirect
9. #51777C2semidirect
10. #45762C2semidirect
11. #45321C2semidirect
12. #45313C2semidirect
13. #45272C2semidirect
14. #45248C2semidirect
15. #42681C2semidirect
16. #42675C2semidirect
17. #42439C2semidirect
18. #42434C2semidirect
19. #39616C2semidirect
20. #39360C2semidirect
21. #39343C2semidirect
22. #39127C2semidirect
23. #37795C2semidirect
24. #37783C2semidirect
25. #37690C2semidirect
26. Q8×#121C2semidirect
27. #36423C2semidirect
28. #36411C2semidirect
29. #36404C2semidirect
30. #36134C2semidirect
31. #35156C2semidirect
32. #35153C2semidirect
33. #34715C2semidirect
34. #34708C2semidirect
35. #34484C2semidirect
316. #554D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35472
C2×Q8×#412
#596592
#591372
#591002
#590812
#590502
#518922
#517772
#457622
#453212
#453132
#452722
#452482
#426812
#426752
#424392
#424342
#396162
#393602
#393432
#391272
#377952
#377832
#376902
Q8×#1212
#364232
#364112
#364042
#361342
#351562
#351532
#347152
#347082
#344842