Finite Group Databasebeta

← #7986114

Subgroups — #7986114

Order 512.

6692 conjugacy classes of subgroups.

The subgroup lattice has 1850 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#59418C211yesmaximal, characteristic, complemented
4#59116C212yesmaximal, complemented
5#59067C211yesmaximal, characteristic, complemented
6#59050C212yesmaximal, complemented
7#59034C211yesmaximal, characteristic, complemented
8#50176C214yesmaximal, complemented
9#48823C214yesmaximal, complemented
10#45762C214yesmaximal, complemented
11#45270C212yesmaximal, complemented
12#45099C212yesmaximal, complemented
13#44921C212yesmaximal, complemented
14#44915C212yesmaximal, complemented
15#42806C212yesmaximal, complemented
16#42786C212yesmaximal, complemented
17#42682C212yesmaximal, complemented
18#42651C212yesmaximal, complemented
19#39617C211yesmaximal, characteristic, complemented
20#39489C211yesmaximal, characteristic, complemented
21#39470C211yesmaximal, characteristic, complemented
22#39125C211yesmaximal, characteristic, complemented
23#37823C214yesmaximal, complemented
24#37781C212yesmaximal, complemented
25#37691C212yesmaximal, complemented
26#36544C211yesmaximal, characteristic, complemented
27#36483C212yesmaximal, complemented
28#36436C212yesmaximal, complemented
29#36411C211yesmaximal, characteristic, complemented
30#36134C211yesmaximal, characteristic, complemented
31#35182C212yesmaximal, complemented
32#35156C212yesmaximal, complemented
33#34715C211yesmaximal, characteristic, complemented
34#34708C211yesmaximal, characteristic, complemented
35#34487C211yesmaximal, characteristic, complemented
36#3547—216no—
37C2×#562C2214yes—
38Q8×#41—216no—
39C2×Q82C2211yescharacteristic
40C2×#557C2211yescharacteristic
41C2×#557C2212yes—
42C2×#555C2211yescharacteristic
43C2×#555C2212yes—
44C2×#554C2214yes—
45C2×#554C2211yescharacteristic
46C2×#554C2211yescharacteristic
47C2×#554C2212yes—
48C2×#554C2212yes—
49C2×#553C2212yes—
50C2×#552C2212yes—
51C2×D4×Q8C2212yes—
52C2×D4×Q8C2211yescharacteristic
53C2×#548C2212yes—
54C2×#547C2211yescharacteristic
55C2×#544C2212yes—
56C2×#542C2214yes—
57C2×#540C2212yes—
58C2×#537C2212yes—
59C2×#536C2212yes—
60C2×#533C2211yescharacteristic
61C2×#533C2211yescharacteristic
62C2×#533C2212yes—
63C2×#533C2212yes—
64C2×#533C2214yes—
65C2×#532C2211yescharacteristic
66C2×#529C2211yescharacteristic
67C2×C4×#41C2211yescharacteristic
68C2×C4×#41C2212yes—
69C22×C4×Q8C2212yes—
70C22×C4×Q8C2211yescharacteristic
71#2868C2211yescharacteristic
72#2857C2211yescharacteristic
73#2857C2211yescharacteristic
74#2854C2212yes—
75#2854C2214yes—
76#2853C2214yes—
77#2853C2214yes—
78#2851C2212yes—
79#2816C2214yes—
80#2814C2214yes—
81#2734C2214yes—
82#2732C2214yes—
83#2731C2214yes—
84#2731C2214yes—
85#2730C2214yes—
86#2730C2214yes—
87#2729C2214yes—
88#2729C2214yes—
89#2726C2214yes—
90#2720C2214yes—
91#2720C2214yes—
92#2716C2214yes—
93#2711C2214yes—
94#2711C2214yes—
95#2707C2214yes—
96#2704C2214yes—
97#2700C2214yes—
98#2696C2214yes—
99#2692C2214yes—
100#2689C2214yes—
101#2689C2214yes—
102#2681C2214yes—
103#2681C2214yes—
104#2681C2214yes—
105#2680C2214yes—
106#2680C2214yes—
107#2677C2214yes—
108#2677C2214yes—
109#2674C2214yes—
110#2674C2214yes—
111#2674C2214yes—
112#2672C2214yes—
113#2672C2214yes—
114#2663C2214yes—
115#2660C2212yes—
116#2638C2214yes—
117#2635C2214yes—
118#2630C2214yes—
119#2628C2212yes—
120#2623C2214yes—
121#2623C2214yes—
122#2620C2212yes—
123#2616C2212yes—
124#2602C2214yes—
125#2600C2214yes—
126#2584C2212yes—
127#2580C2212yes—
128#2567C2211yescharacteristic
129#2567C2211yescharacteristic
130#2565C2212yes—
131#2563C2211yescharacteristic
132#2563C2211yescharacteristic
133#2558C2214yes—
134#2556C2214yes—
135#2552C2212yes—
136#2552C2212yes—
137#2550C2212yes—
138#2550C2212yes—
139#2547C2212yes—
140#2542C2212yes—
141#2542C2212yes—
142#2540C2214yes—
143#2538C2211yescharacteristic
144#2538C2211yescharacteristic
145#2538C2212yes—
146#2536C2212yes—
147#2536C2212yes—
148#2506C2214yes—
149#2501C2212yes—
150#2501C2214yes—
151#2499C2212yes—
152#2491C2212yes—
153#2490C2212yes—
154#2490C2212yes—
155#2490C2212yes—
156#2486C2214yes—
157#2486C2212yes—
158#2485C2212yes—
159#2481C2212yes—
160#2478C2214yes—
161#2476C2214yes—
162#2476C2214yes—
163#2476C2212yes—
164#2475C2214yes—
165#2475C2214yes—
166#2474C2214yes—
167#2474C2212yes—
168#2470C2214yes—
169#2469C2212yes—
170#2468C2214yes—
171#2465C2214yes—
172#2465C2214yes—
173#2464C2214yes—
174#2462C2214yes—
175#2462C2214yes—
176#2461C2214yes—
177#2459C2212yes—
178#2458C2212yes—
179#2458C2214yes—
180#2456C2214yes—
181#2456C2212yes—
182#2455C2214yes—
183#2453C2212yes—
184#2453C2211yescharacteristic
185#2451C2211yescharacteristic
186#2449C2214yes—
187#2448C2214yes—
188#2448C2212yes—
189#2448C2214yes—
190#2448C2214yes—
191#2448C2211yescharacteristic
192#2448C2214yes—
193#2446C2214yes—
194#2446C2212yes—
195#2446C2214yes—
196#2445C2212yes—
197#2445C2211yescharacteristic
198#2443C2212yes—
199#2442C2212yes—
200#2442C2212yes—
201#2442C2211yescharacteristic
202#2441C2212yes—
203#2441C2212yes—
204#2441C2212yes—
205#2441C2212yes—
206#2441C2212yes—
207#2440C2212yes—
208#2440C2212yes—
209#2439C2211yescharacteristic
210#2436C2211yescharacteristic
211#2432C2212yes—
212#2431C2211yescharacteristic
213#2429C2212yes—
214#2429C2212yes—
215#2429C2212yes—
216#2429C2212yes—
217#2426C2212yes—
218#2426C2211yescharacteristic
219#2426C2214yes—
220#2426C2211yescharacteristic
221#2423C2212yes—
222#2423C2212yes—
223#2423C2212yes—
224#2423C2214yes—
225#2423C2212yes—
226#2423C2214yes—
227#2423C2212yes—
228#2423C2212yes—
229#2422C2212yes—
230#2422C2212yes—
231#2422C2212yes—
232#2421C2212yes—
233#2421C2212yes—
234#2421C2211yescharacteristic
235#2421C2212yes—
236#2420C2212yes—
237#2420C2211yescharacteristic
238#2416C2211yescharacteristic
239#2415C2214yes—
240#2415C2212yes—
241#2414C2212yes—
242#2414C2212yes—
243#2414C2211yescharacteristic
244#2409C2211yescharacteristic
245#2409C2212yes—
246#2407C2212yes—
247#2407C2212yes—
248#2407C2211yescharacteristic
249#2398C2212yes—
250#2396C2212yes—
251#2392C2212yes—
252#2388C2212yes—
253#2378C2214yes—
254#2369C2212yes—
255#2365C2212yes—
256#2365C2211yescharacteristic
257#2362C2212yes—
258#2362C2212yes—
259#2362C2212yes—
260#2362C2214yes—
261#2360C2212yes—
262#2360C2212yes—
263#2357C2212yes—
264#2355C2211yescharacteristic
265#2354C2212yes—
266#2354C2211yescharacteristic
267#2354C2212yes—
268#2352C2212yes—
269Q8×C4⋊C4C2212yes—
270Q8×C4⋊C4C2212yes—
271D4×C4⋊C4C2212yes—
272#2341C2212yes—
273#2341C2212yes—
274Q8×C22⋊C4C2212yes—
275#2332C2214yes—
276#2331C2212yes—
277#2326C2212yes—
278#2323C2212yes—
279#2323C2212yes—
280#2319C2212yes—
281#2317C2212yes—
282#2311C2212yes—
283#2310C2212yes—
284C4×C4⋊Q8C2211yescharacteristic
285C4×#124C2211yescharacteristic
286C4×#124C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2211yescharacteristic
289C4×#123C2214yes—
290C4×#123C2212yes—
291C4×#121C2211yescharacteristic
292C4×#121C2212yes—
293C4×#121C2212yes—
294C4×#121C2211yescharacteristic
295#2297C2212yes—
296#2296C2212yes—
297#2295C2211yescharacteristic
298#2293C2211yescharacteristic
299#2290C2212yes—
300C42×D4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C23×Q8C2311yescharacteristic
305C23×Q8C2312yes—
306#562—232no—
307Q82—28no—
308#557—28no—
309#557—216no—
310#555—216no—
311#555—28no—
312#554—216no—
313#554—232no—
314#554—28no—
315#554—28no—
316#554—216no—
317#553—216no—
318#552—216no—
319D4×Q8—216no—
320D4×Q8D4116yescomplemented
321#548—216no—
322#547—28no—
323#544—216no—
324#542—232no—
325#540—216no—
326#537—216no—
327#536—216no—
328#533—28no—
329#533—216no—
330#533—28no—
331#533—216no—
332#533—232no—
333#532—28no—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2314yes—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2314yes—
342C2×C4⋊Q8C2314yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2311yescharacteristic
346C2×C4⋊Q8C2312yes—
347C2×#127C2311yescharacteristic
348#529—28no—
349C2×#126C2312yes—
350C2×#126C2314yes—
351C2×#125C2312yes—
352C2×#125C2311yescharacteristic
353C2×#125C2312yes—
354C2×#125C2312yes—
355C2×#125C2312yes—
356C2×#125C2312yes—
357C2×#125C2314yes—
358C2×#125C2314yes—
359C2×#125C2314yes—
360C2×#125C2314yes—
361C2×#124C2311yescharacteristic
362C2×#124C2311yescharacteristic
363C2×#124C2314yes—
364C2×#124C2312yes—
365C2×#124C2314yes—
366C2×#124C2314yes—
367C2×#124C2311yescharacteristic
368C2×#124C2314yes—
369C2×#123C2314yes—
370C2×#123C2314yes—
371C2×#123C2312yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2312yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×C22⋊Q8C2314yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2311yescharacteristic
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2311yescharacteristic
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2311yescharacteristic
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2314yes—
406C2×#121C2314yes—
407C2×#121C2312yes—
408C2×#121C2311yescharacteristic
409C2×#121C2312yes—
410C2×#121C2311yescharacteristic
411C2×#121C2311yescharacteristic
412C2×#121C2312yes—
413C2×#121C2311yescharacteristic
414C2×#121C2314yes—
415C2×#121C2312yes—
416C2×#121C2314yes—
417C2×#121C2314yes—
418C2×#121C2311yescharacteristic
419C2×#121C2312yes—
420C4×#41—28no—
421C4×#41—216no—
422C2×C4×Q8—216no—
423C2×C4×Q8—28no—
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2311yescharacteristic
426C2×C4×Q8C2311yescharacteristic
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2312yes—
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2311yescharacteristic
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2311yescharacteristic
434C2×C4×Q8C2314yes—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2311yescharacteristic
438C2×C4×Q8C2314yes—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2314yes—
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2311yescharacteristic
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2311yescharacteristic
447C2×C4×D4C2312yes—
448C2×C4×D4C2314yes—
449C2×C4×D4C2314yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2312yes—
457C2×C4×D4C2314yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2314yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2311yescharacteristic
465C2×#117C2312yes—
466C2×#117C2312yes—
467C2×#117C2312yes—
468C2×#117C2311yescharacteristic
469C2×#117C2312yes—
470C2×#117C2312yes—
471C2×#117C2314yes—
472C2×#117C2314yes—
473C2×#117C2312yes—
474C2×#117C2312yes—
475C2×#117C2312yes—
476C22×C4⋊C4C2312yes—
477C22×C4⋊C4C2311yescharacteristic
478C22×C4⋊C4C2312yes—
479C22×C4⋊C4C2312yes—
480C22×C4⋊C4C2314yes—
481C22×C4⋊C4C2312yes—
482C22×C42C2312yes—
483C22×C42C2314yes—
484C22×C42C2312yes—
485C22×C42C2311yescharacteristic
486C22×C42C2311yescharacteristic
487#400C2312yes—
488#400C2314yes—
489#400C2314yes—
490#400C2314yes—
491#400C2314yes—
492#400C2312yes—
493#400C2312yes—
494#399C2314yes—
495#399C2314yes—
496#399C2314yes—
497#399C2314yes—
498#399C2314yes—
499#399C2314yes—
500#399C2312yes—
501#399C2314yes—
502#399C2314yes—
503#399C2314yes—
504#398C2314yes—
505#398C2314yes—
506#398C2314yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2312yes—
514#398C2312yes—
515#398C2312yes—
516#398C2314yes—
517#398C2314yes—
518#398C2314yes—
519#398C2314yes—
520#398C2314yes—
521#397C2314yes—
522#397C2314yes—
523#397C2312yes—
524#397C2314yes—
525#397C2314yes—
526#397C2314yes—
527#397C2314yes—
528#397C2312yes—
529#397C2314yes—
530#397C2312yes—
531#397C2314yes—
532#397C2314yes—
533#396C2314yes—
534#396C2314yes—
535#396C2314yes—
536#396C2314yes—
537#396C2312yes—
538#396C2312yes—
539#396C2312yes—
540#396C2312yes—
541#396C2314yes—
542#396C2314yes—
543#396C2314yes—
544#396C2314yes—
545#395C2314yes—
546#395C2314yes—
547#395C2314yes—
548#395C2314yes—
549#395C2314yes—
550#395C2312yes—
551#395C2312yes—
552#395C2314yes—
553#395C2314yes—
554#394C2312yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2312yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2312yes—
569#394C2312yes—
570#394C2312yes—
571#394C2312yes—
572#394C2312yes—
573#394C2312yes—
574#394C2314yes—
575#393C2312yes—
576#393C2314yes—
577#393C2314yes—
578#393C2314yes—
579#393C2314yes—
580#393C2312yes—
581#393C2312yes—
582#393C2312yes—
583#392C2314yes—
584#392C2312yes—
585#392C2312yes—
586#392C2312yes—
587#392C2314yes—
588#392C2312yes—
589#391C2312yes—
590#391C2311yescharacteristic
591#391C2312yes—
592#391C2311yescharacteristic
593#391C2314yes—
594#391C2312yes—
595#391C2312yes—
596#391C2314yes—
597#391C2314yes—
598#391C2312yes—
599#391C2311yescharacteristic
600#391C2314yes—
601#391C2314yes—
602#391C2311yescharacteristic
603#391C2312yes—
604#391C2312yes—
605#391C2314yes—
606#391C2311yescharacteristic
607#391C2311yescharacteristic
608#391C2312yes—
609#391C2312yes—
610#390C2312yes—
611#390C2312yes—
612#390C2314yes—
613#390C2311yescharacteristic
614#390C2312yes—
615#390C2311yescharacteristic
616#390C2312yes—
617#390C2311yescharacteristic
618#390C2311yescharacteristic
619#390C2314yes—
620#390C2312yes—
621#390C2314yes—
622#390C2314yes—
623#390C2314yes—
624#390C2314yes—
625#390C2314yes—
626#390C2311yescharacteristic
627#390C2312yes—
628#390C2311yescharacteristic
629#390C2312yes—
630#390C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2314yes—
638#389C2314yes—
639#389C2312yes—
640#389C2311yescharacteristic
641#389C2312yes—
642#389C2314yes—
643#389C2314yes—
644#389C2312yes—
645#389C2311yescharacteristic
646#389C2312yes—
647#389C2314yes—
648#389C2314yes—
649#389C2311yescharacteristic
650#389C2312yes—
651#389C2314yes—
652#389C2314yes—
653#389C2312yes—
654#389C2314yes—
655#389C2311yescharacteristic
656#389C2314yes—
657#389C2314yes—
658#389C2311yescharacteristic
659#389C2312yes—
660#389C2314yes—
661#389C2311yescharacteristic
662#389C2311yescharacteristic
663#389C2314yes—
664#389C2314yes—
665#389C2311yescharacteristic
666#389C2312yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2312yes—
675#388C2314yes—
676#388C2314yes—
677#388C2312yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2312yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2312yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2312yes—
697#388C2314yes—
698#388C2312yes—
699#388C2312yes—
700#388C2312yes—
701#388C2312yes—
702#388C2312yes—
703#388C2312yes—
704#388C2312yes—
705#388C2312yes—
706#388C2312yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2312yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2312yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2312yes—
728#387C2314yes—
729#387C2312yes—
730#387C2312yes—
731#387C2312yes—
732#387C2312yes—
733#387C2312yes—
734#386C2314yes—
735#386C2314yes—
736#386C2312yes—
737#386C2312yes—
738#386C2314yes—
739#386C2312yes—
740#386C2312yes—
741#386C2314yes—
742#386C2312yes—
743#386C2312yes—
744#386C2312yes—
745#386C2314yes—
746#386C2312yes—
747#386C2312yes—
748#386C2312yes—
749#386C2312yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2312yes—
762#385C2314yes—
763#385C2314yes—
764#385C2312yes—
765#385C2312yes—
766#385C2312yes—
767#385C2312yes—
768#384C2311yescharacteristic
769#384C2312yes—
770#384C2312yes—
771#384C2312yes—
772#384C2312yes—
773#384C2312yes—
774#384C2312yes—
775#384C2314yes—
776#384C2314yes—
777#382C2312yes—
778#382C2312yes—
779#382C2311yescharacteristic
780#382C2312yes—
781#382C2311yescharacteristic
782#381C2314yes—
783#381C2314yes—
784#381C2312yes—
785#381C2314yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2311yescharacteristic
791#380C2312yes—
792#380C2312yes—
793#380C2314yes—
794#380C2312yes—
795#380C2311yescharacteristic
796#380C2312yes—
797#380C2314yes—
798#380C2314yes—
799#380C2312yes—
800#380C2312yes—
801#380C2312yes—
802#380C2311yescharacteristic
803#380C2311yescharacteristic
804#380C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2314yes—
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2314yes—
817C4×C4⋊C4C2314yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2314yes—
820C4×C4⋊C4C2314yes—
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2312yes—
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2311yescharacteristic
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2311yescharacteristic
843#376C2312yes—
844C43C2311yescharacteristic
845C2×#41—28no—
846C2×#41—24no—
847C2×#41—24no—
848C2×#41—28no—
849C2×#41—24no—
850C2×#41—44no—
851C2×#41—44no—
852C2×#41—44no—
853C2×#41—44no—
854C22×Q8—24no—
855C22×Q8—44no—
856C22×Q8—44no—
857C22×Q8—42no—
858C22×Q8—42no—
859C22×Q8C2×D4116yes—
860C22×Q8C2411yescharacteristic
861C22×Q8C2412yes—
862C22×Q8C2411yescharacteristic
863C22×Q8C2411yescharacteristic
864C22×Q8C2412yes—
865C22×Q8C2414yes—
866C22×Q8C2412yes—
867C22×Q8C2412yes—
868C22×Q8C2412yes—
869C22×Q8C2414yes—
870C22×D4C2412yes—
871C22×D4C2411yescharacteristic
872C22×D4C2411yescharacteristic
873C22×D4C2411yescharacteristic
874C22×D4C2411yescharacteristic
875C22×D4C2412yes—
876C22×D4C2412yes—
877C22×D4C2414yes—
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2414yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C23×C4C2412yes—
885C23×C4C2411yescharacteristic
886C23×C4C2412yes—
887C23×C4C2412yes—
888C23×C4C2411yescharacteristic
889C23×C4C2411yescharacteristic
890C23×C4C2412yes—
891C23×C4C2411yescharacteristic
892C23×C4C2412yes—
893C23×C4C2411yescharacteristic
894C23×C4C2414yes—
895C23×C4C2412yes—
896C23×C4C2414yes—
897C23×C4C2412yes—
898C23×C4C2414yes—
899C23×C4C2411yescharacteristic
900C23×C4C2414yes—
901C4⋊Q8—28no—
902C4⋊Q8—216no—
903C4⋊Q8—216no—
904C4⋊Q8—24no—
905C4⋊Q8—28no—
906C4⋊Q8—216no—
907C4⋊Q8—24no—
908C4⋊Q8—24no—
909C4⋊Q8—28no—
910C4⋊Q8—44no—
911C4⋊Q8—82no—
912C4⋊Q8C2×D418yes—
913C4⋊Q8C2×D4116yes—
914#127—24no—
915#126—28no—
916#126—216no—
917#125—24no—
918#125—28no—
919#125—216no—
920#125—216no—
921#125—216no—
922#125—28no—
923#125—28no—
924#125—28no—
925#125—216no—
926#125—28no—
927#124—24no—
928#124—216no—
929#124—216no—
930#124—24no—
931#124—28no—
932#124—216no—
933#124—42no—
934#124—84no—
935#123—216no—
936#123—216no—
937#123—28no—
938#123—216no—
939#123—216no—
940#123—48no—
941#123—44no—
942#123—84no—
943#123—84no—
944#123—84no—
945C22⋊Q8—24no—
946C22⋊Q8—28no—
947C22⋊Q8—28no—
948C22⋊Q8—216no—
949C22⋊Q8—28no—
950C22⋊Q8—28no—
951C22⋊Q8—216no—
952C22⋊Q8—28no—
953C22⋊Q8—24no—
954C22⋊Q8—28no—
955C22⋊Q8—216no—
956C22⋊Q8—216no—
957C22⋊Q8—28no—
958C22⋊Q8—28no—
959C22⋊Q8—216no—
960C22⋊Q8—216no—
961C22⋊Q8—216no—
962C22⋊Q8—216no—
963C22⋊Q8—216no—
964C22⋊Q8—48no—
965C22⋊Q8—44no—
966C22⋊Q8—42no—
967C22⋊Q8—82no—
968C22⋊Q8—84no—
969C22⋊Q8—82no—
970C22⋊Q8C2×D4116yes—
971C22⋊Q8C2×D4132yes—
972#121—24no—
973#121—28no—
974#121—28no—
975#121—216no—
976#121—24no—
977#121—24no—
978#121—24no—
979#121—216no—
980#121—28no—
981#121—28no—
982#121—216no—
983#121—216no—
984#121—44no—
985#121—42no—
986C4×Q8—24no—
987C4×Q8—28no—
988C4×Q8—216no—
989C4×Q8—28no—
990C4×Q8—28no—
991C4×Q8—216no—
992C4×Q8—28no—
993C4×Q8—24no—
994C4×Q8—28no—
995C4×Q8—28no—
996C4×Q8—24no—
997C4×Q8—216no—
998C4×Q8—28no—
999C4×Q8—28no—
1000C4×Q8—24no—
1001C4×Q8—28no—
1002C4×Q8—24no—
1003C4×Q8—28no—
1004C4×Q8—44no—
1005C4×Q8—44no—
1006C4×Q8C2×D418yes—
1007C4×D4—24no—
1008C4×D4—28no—
1009C4×D4—28no—
1010C4×D4—216no—
1011C4×D4—28no—
1012C4×D4—216no—
1013C4×D4—24no—
1014C4×D4—28no—
1015C4×D4—216no—
1016C4×D4—28no—
1017C4×D4—24no—
1018C4×D4—28no—
1019C4×D4—24no—
1020C4×D4—28no—
1021C4×D4—42no—
1022C4×D4—44no—
1023C4×D4—42no—
1024C4×D4—84no—
1025C4×D4C2×D418yes—
1026C4×D4C2×D4116yes—
1027#117—28no—
1028#117—28no—
1029#117—24no—
1030#117—28no—
1031#117—216no—
1032#117—28no—
1033#117—216no—
1034#117—28no—
1035#117—28no—
1036#117—44no—
1037#117—44no—
1038C2×C4⋊C4—28no—
1039C2×C4⋊C4—216no—
1040C2×C4⋊C4—24no—
1041C2×C4⋊C4—28no—
1042C2×C4⋊C4—28no—
1043C2×C4⋊C4—28no—
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2411yescharacteristic
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2411yescharacteristic
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2411yescharacteristic
1151C2×C22⋊C4C2411yescharacteristic
1152C2×C22⋊C4C2411yescharacteristic
1153C2×C22⋊C4C2411yescharacteristic
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2412yes—
1177C2×C42—28no—
1178C2×C42—216no—
1179C2×C42—24no—
1180C2×C42—28no—
1181C2×C42—24no—
1182C2×C42C2414yes—
1183C2×C42C2414yes—
1184C2×C42C2412yes—
1185C2×C42C2414yes—
1186C2×C42C2411yescharacteristic
1187C2×C42C2412yes—
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190C2×C42C2412yes—
1191C2×C42C2411yescharacteristic
1192C2×C42C2412yes—
1193C2×C42C2411yescharacteristic
1194C2×C42C2414yes—
1195C2×C42C2412yes—
1196C2×C42C2412yes—
1197C2×C42C2414yes—
1198C2×C42C2411yescharacteristic
1199C2×C42C2411yescharacteristic
1200C2×C42C2411yescharacteristic
1201C2×C42C2412yes—
1202C2×C42C2411yescharacteristic
1203C2×C42C2412yes—
1204C2×C42C2411yescharacteristic
1205C2×C42C2411yescharacteristic
1206C2×C42C2414yes—
1207C2×C42C2414yes—
1208C2×C42C2414yes—
1209C2×C42C2414yes—
1210C2×C42C2411yescharacteristic
1211C2×C42C2412yes—
1212C2×C42C2411yescharacteristic
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2411yescharacteristic
1220#95C2411yescharacteristic
1221#95C2411yescharacteristic
1222#95C2411yescharacteristic
1223#95C2412yes—
1224#95C2411yescharacteristic
1225#95C2411yescharacteristic
1226#95C2412yes—
1227#95C2414yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2414yes—
1231#95C2412yes—
1232#95C2414yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2414yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2414yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2414yes—
1248#95C2412yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2412yes—
1252#95C2414yes—
1253#95C2412yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2414yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271C24C2512yes—
1272C24C2511yescharacteristic
1273C24C2512yes—
1274C24C2512yes—
1275C24C2511yescharacteristic
1276#41—232no—
1277#41—816no—
1278#41—816no—
1279C2×Q8—22no—
1280C2×Q8—24no—
1281C2×Q8—22no—
1282C2×Q8—24no—
1283C2×Q8—24no—
1284C2×Q8—28no—
1285C2×Q8—24no—
1286C2×Q8—22no—
1287C2×Q8—24no—
1288C2×Q8—24no—
1289C2×Q8—22no—
1290C2×Q8—22no—
1291C2×Q8—22no—
1292C2×Q8—22no—
1293C2×Q8—44no—
1294C2×Q8—44no—
1295C2×Q8—42no—
1296C2×Q8—42no—
1297C2×Q8—44no—
1298C2×Q8—44no—
1299C2×Q8—42no—
1300C2×Q8—42no—
1301C2×Q8—42no—
1302C2×Q8—42no—
1303C2×Q8—42no—
1304C2×Q8—42no—
1305C2×Q8—432no—
1306C2×Q8—416no—
1307C2×Q8C22×D414yes—
1308C2×Q8C22×D418yes—
1309C2×Q8C22×D4116yes—
1310C2×Q82−1+414yes—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—22no—
1314C2×D4—24no—
1315C2×D4—28no—
1316C2×D4—24no—
1317C2×D4—24no—
1318C2×D4—24no—
1319C2×D4—24no—
1320C2×D4—22no—
1321C2×D4—22no—
1322C2×D4—24no—
1323C2×D4—28no—
1324C2×D4—24no—
1325C2×D4—24no—
1326C2×D4—22no—
1327C2×D4—22no—
1328C2×D4—22no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—41no—
1334C2×D4—42no—
1335C2×D4—42no—
1336C2×D4—42no—
1337C2×D4—42no—
1338C2×D4—42no—
1339C2×D4—42no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—42no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—42no—
1348C2×D4—42no—
1349C2×D4—42no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4C22×D414yes—
1353C22×C4—24no—
1354C22×C4—22no—
1355C22×C4—24no—
1356C22×C4—24no—
1357C22×C4—22no—
1358C22×C4—24no—
1359C22×C4—24no—
1360C22×C4—24no—
1361C22×C4—28no—
1362C22×C4—24no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—24no—
1367C22×C4—24no—
1368C22×C4—24no—
1369C22×C4—22no—
1370C22×C4—24no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—24no—
1375C22×C4—22no—
1376C22×C4—24no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—24no—
1380C22×C4—22no—
1381C22×C4—28no—
1382C22×C4—28no—
1383C22×C4—44no—
1384C22×C4—44no—
1385C22×C4—42no—
1386C22×C4—42no—
1387C22×C4—41no—
1388C22×C4—41no—
1389C22×C4—42no—
1390C22×C4—44no—
1391C22×C4—42no—
1392C22×C4—44no—
1393C22×C4—41no—
1394C22×C4—41no—
1395C22×C4—44no—
1396C22×C4—42no—
1397C22×C4—42no—
1398C22×C4—44no—
1399C22×C4—44no—
1400C22×C4—44no—
1401C22×C4C22×D418yes—
1402C22×C4C22×D4116yes—
1403C22×C42−1+414yes—
1404C22×C4C2512yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2512yes—
1407C22×C4C2512yes—
1408C22×C4C2511yescharacteristic
1409C22×C4C2511yescharacteristic
1410C22×C4C2511yescharacteristic
1411C22×C4C2512yes—
1412C22×C4C2514yes—
1413C22×C4C2512yes—
1414C22×C4C2511yescharacteristic
1415C22×C4C2512yes—
1416C22×C4C2511yescharacteristic
1417C22×C4C2512yes—
1418C22×C4C2512yes—
1419C22×C4C2511yescharacteristic
1420C22×C4C2512yes—
1421C22×C4C2514yes—
1422C22×C4C2514yes—
1423C22×C4C2511yescharacteristic
1424C22×C4C2512yes—
1425C22×C4C2512yes—
1426C22×C4C2511yescharacteristic
1427C22×C4C2514yes—
1428C22×C4C2512yes—
1429C22×C4C2511yescharacteristic
1430C22×C4C2512yes—
1431C22×C4C2511yescharacteristic
1432C22×C4C2511yescharacteristic
1433C22×C4C2511yescharacteristic
1434C4⋊C4—24no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—24no—
1438C4⋊C4—28no—
1439C4⋊C4—28no—
1440C4⋊C4—28no—
1441C4⋊C4—24no—
1442C4⋊C4—24no—
1443C4⋊C4—24no—
1444C4⋊C4—28no—
1445C4⋊C4—24no—
1446C4⋊C4—28no—
1447C4⋊C4—28no—
1448C4⋊C4—24no—
1449C4⋊C4—22no—
1450C4⋊C4—24no—
1451C4⋊C4—24no—
1452C4⋊C4—28no—
1453C4⋊C4—24no—
1454C4⋊C4—28no—
1455C4⋊C4—24no—
1456C4⋊C4—22no—
1457C4⋊C4—24no—
1458C4⋊C4—24no—
1459C4⋊C4—24no—
1460C4⋊C4—28no—
1461C4⋊C4—28no—
1462C4⋊C4—28no—
1463C4⋊C4—28no—
1464C4⋊C4—28no—
1465C4⋊C4—28no—
1466C4⋊C4—22no—
1467C4⋊C4—24no—
1468C4⋊C4—22no—
1469C4⋊C4—22no—
1470C4⋊C4—24no—
1471C4⋊C4—24no—
1472C4⋊C4—28no—
1473C4⋊C4—22no—
1474C4⋊C4—24no—
1475C4⋊C4—22no—
1476C4⋊C4—22no—
1477C4⋊C4—24no—
1478C4⋊C4—28no—
1479C4⋊C4—42no—
1480C4⋊C4—42no—
1481C4⋊C4—41no—
1482C4⋊C4—42no—
1483C4⋊C4—44no—
1484C4⋊C4—44no—
1485C4⋊C4—44no—
1486C4⋊C4—44no—
1487C4⋊C4—42no—
1488C4⋊C4—44no—
1489C4⋊C4—42no—
1490C4⋊C4—42no—
1491C4⋊C4—44no—
1492C4⋊C4—44no—
1493C4⋊C4—44no—
1494C4⋊C4—44no—
1495C4⋊C4—44no—
1496C4⋊C4—42no—
1497C4⋊C4—42no—
1498C4⋊C4—44no—
1499C4⋊C4—44no—
1500C4⋊C4C22×D414yes—
1501C4⋊C4C22×D418yes—
1502C4⋊C4C22×D418yes—
1503C4⋊C4C22×D414yes—
1504C4⋊C4C22×D4116yes—
1505C4⋊C4C22×D418yes—
1506C22⋊C4—28no—
1507C22⋊C4—24no—
1508C22⋊C4—28no—
1509C22⋊C4—24no—
1510C22⋊C4—22no—
1511C22⋊C4—24no—
1512C22⋊C4—24no—
1513C22⋊C4—24no—
1514C22⋊C4—28no—
1515C22⋊C4—24no—
1516C22⋊C4—28no—
1517C22⋊C4—24no—
1518C22⋊C4—28no—
1519C22⋊C4—28no—
1520C22⋊C4—24no—
1521C22⋊C4—24no—
1522C22⋊C4—28no—
1523C22⋊C4—24no—
1524C22⋊C4—24no—
1525C22⋊C4—22no—
1526C22⋊C4—24no—
1527C22⋊C4—24no—
1528C22⋊C4—24no—
1529C22⋊C4—28no—
1530C22⋊C4—24no—
1531C22⋊C4—24no—
1532C22⋊C4—24no—
1533C22⋊C4—24no—
1534C22⋊C4—24no—
1535C22⋊C4—42no—
1536C22⋊C4—42no—
1537C22⋊C4—44no—
1538C22⋊C4—42no—
1539C22⋊C4—42no—
1540C22⋊C4—41no—
1541C22⋊C4—41no—
1542C22⋊C4—41no—
1543C22⋊C4—41no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—42no—
1547C22⋊C4—42no—
1548C22⋊C4—44no—
1549C22⋊C4—42no—
1550C22⋊C4—44no—
1551C22⋊C4—42no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—42no—
1555C22⋊C4—44no—
1556C22⋊C4—42no—
1557C22⋊C4—44no—
1558C22⋊C4—42no—
1559C22⋊C4—42no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—42no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4C22×D4116yes—
1566C22⋊C4C22×D418yes—
1567C42—24no—
1568C42—22no—
1569C42—24no—
1570C42—28no—
1571C42—22no—
1572C42—24no—
1573C42—22no—
1574C42—22no—
1575C42—24no—
1576C42—28no—
1577C42—22no—
1578C42—24no—
1579C42—28no—
1580C42—24no—
1581C42—22no—
1582C42—28no—
1583C42—28no—
1584C42—22no—
1585C42—24no—
1586C42—22no—
1587C42—22no—
1588C42—24no—
1589C42—22no—
1590C42—22no—
1591C42—44no—
1592C42—44no—
1593C42—44no—
1594C42—44no—
1595C42—41no—
1596C42C22×D414yes—
1597C42C22×D418yes—
1598C23—21no—
1599C23—22no—
1600C23—22no—
1601C23—21no—
1602C23—22no—
1603C23—22no—
1604C23—22no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—22no—
1610C23—22no—
1611C23—21no—
1612C23—22no—
1613C23—22no—
1614C23—21no—
1615C23—22no—
1616C23—21no—
1617C23—22no—
1618C23—22no—
1619C23—22no—
1620C23—22no—
1621C23—21no—
1622C23—22no—
1623C23—21no—
1624C23—22no—
1625C23—21no—
1626C23—22no—
1627C23—22no—
1628C23—21no—
1629C23—22no—
1630C23—22no—
1631C23C23×D414yes—
1632C23C2×2−1+412yes—
1633C23C2611yescharacteristic
1634Q8—28no—
1635Q8—216no—
1636Q8—28no—
1637Q8—416no—
1638Q8—48no—
1639Q8—44no—
1640Q8—88no—
1641Q8—84no—
1642Q8—84no—
1643Q8—84no—
1644D4—216no—
1645D4—28no—
1646D4—44no—
1647D4—48no—
1648D4—44no—
1649D4—44no—
1650D4—84no—
1651D4—84no—
1652D4—88no—
1653D4—84no—
1654D4—88no—
1655D4—84no—
1656D4—84no—
1657D4—84no—
1658C2×C4—216no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—22no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—22no—
1667C2×C4—24no—
1668C2×C4—24no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—21no—
1675C2×C4—216no—
1676C2×C4—28no—
1677C2×C4—21no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—24no—
1682C2×C4—21no—
1683C2×C4—22no—
1684C2×C4—24no—
1685C2×C4—21no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—22no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—24no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—24no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—24no—
1718C2×C4—21no—
1719C2×C4—22no—
1720C2×C4—21no—
1721C2×C4—22no—
1722C2×C4—21no—
1723C2×C4—24no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—24no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—24no—
1734C2×C4—21no—
1735C2×C4—24no—
1736C2×C4—21no—
1737C2×C4—416no—
1738C2×C4—48no—
1739C2×C4—44no—
1740C2×C4—48no—
1741C2×C4—44no—
1742C2×C4—44no—
1743C2×C4—48no—
1744C2×C4—84no—
1745C2×C4—88no—
1746C2×C4—82no—
1747C2×C4—82no—
1748C2×C4—88no—
1749C2×C4—88no—
1750C2×C4—84no—
1751C2×C4C23×D414yes—
1752C2×C4C23×D414yes—
1753C2×C4C23×D418yes—
1754C2×C4C23×D412yes—
1755C2×C4C23×D414yes—
1756C2×C4C23×D412yes—
1757C2×C4C23×D412yes—
1758C2×C4C2×2−1+412yes—
1759C2×C4C2×2−1+414yes—
1760C2×C4C2×2−1+412yes—
1761C2×C4C2×2−1+412yes—
1762C2×C4#58512yes—
1763C2×C4#58512yes—
1764C2×C4#58512yes—
1765C22—24no—
1766C22—22no—
1767C22—24no—
1768C22—24no—
1769C22—22no—
1770C22—22no—
1771C22—41no—
1772C22—42no—
1773C22—41no—
1774C22—42no—
1775C22—41no—
1776C22—42no—
1777C22—42no—
1778C22—41no—
1779C22—42no—
1780C22—41no—
1781C22—42no—
1782C22—41no—
1783C22—42no—
1784C22—42no—
1785C22—42no—
1786C22—41no—
1787C22—42no—
1788C22—42no—
1789C22—41no—
1790C22—42no—
1791C22—41no—
1792C22—42no—
1793C22—42no—
1794C22—42no—
1795C22—41no—
1796C22—42no—
1797C22—41no—
1798C22—42no—
1799C22—42no—
1800C22C24×D411yescharacteristic
1801C22C22×2−1+411yescharacteristic
1802C22C22×2−1+411yescharacteristic
1803C22C2×#58511yescharacteristic
1804C22C2×#58511yescharacteristic
1805C22C2×#58511yescharacteristic
1806C22H(7,𝔽2)11yescharacteristic
1807C4—24no—
1808C4—22no—
1809C4—22no—
1810C4—24no—
1811C4—24no—
1812C4—28no—
1813C4—22no—
1814C4—24no—
1815C4—42no—
1816C4—41no—
1817C4—41no—
1818C4—44no—
1819C4—42no—
1820C4—44no—
1821C4—42no—
1822C4—42no—
1823C4—41no—
1824C4—41no—
1825C4—42no—
1826C4—41no—
1827C4—42no—
1828C4—41no—
1829C4—42no—
1830C4—41no—
1831C4—42no—
1832C4—42no—
1833C4—41no—
1834C4—44no—
1835C4#348514yes—
1836C4#348614yes—
1837C2—44no—
1838C2—42no—
1839C2—82no—
1840C2—81no—
1841C2—82no—
1842C2#6275211yescharacteristic
1843C2C2×#348511yescharacteristic
1844C2C2×#348611yescharacteristic
1845C2#6292611yescharacteristic
1846C2#6295211yescharacteristic
1847C2#6300311yescharacteristic
1848C2#6303411yescharacteristic
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. #59418C2semidirect
4. #59116C2semidirect
5. #59067C2semidirect
6. #59050C2semidirect
7. #59034C2semidirect
8. #50176C2semidirect
9. #48823C2semidirect
10. #45762C2semidirect
11. #45270C2semidirect
12. #45099C2semidirect
13. #44921C2semidirect
14. #44915C2semidirect
15. #42806C2semidirect
16. #42786C2semidirect
17. #42682C2semidirect
18. #42651C2semidirect
19. #39617C2semidirect
20. #39489C2semidirect
21. #39470C2semidirect
22. #39125C2semidirect
23. #37823C2semidirect
24. #37781C2semidirect
25. #37691C2semidirect
26. #36544C2semidirect
27. #36483C2semidirect
28. #36436C2semidirect
29. #36411C2semidirect
30. #36134C2semidirect
31. #35182C2semidirect
32. #35156C2semidirect
33. #34715C2semidirect
34. #34708C2semidirect
35. #34487C2semidirect
320. D4×Q8D4semidirect

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
#594182
#591162
#590672
#590502
#590342
#501762
#488232
#457622
#452702
#450992
#449212
#449152
#428062
#427862
#426822
#426512
#396172
#394892
#394702
#391252
#378232
#377812
#376912
#365442
#364832
#364362
#364112
#361342
#351822
#351562
#347152
#347082
#344872