Finite Group Databasebeta

← #7689677

Subgroups — #7689677

Order 512.

6984 conjugacy classes of subgroups.

The subgroup lattice has 1833 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3503C211yesmaximal, characteristic, complemented
2C2×#3482C211yesmaximal, characteristic, complemented
3#59653C211yesmaximal, characteristic, complemented
4#59651C212yesmaximal, complemented
5#59134C211yesmaximal, characteristic, complemented
6#59111C212yesmaximal, complemented
7#59081C212yesmaximal, complemented
8#59077C214yesmaximal, complemented
9#59075C212yesmaximal, complemented
10#59071C211yesmaximal, characteristic, complemented
11#45338C212yesmaximal, complemented
12#45098C212yesmaximal, complemented
13#44448C214yesmaximal, complemented
14#43532C214yesmaximal, complemented
15#39724C211yesmaximal, characteristic, complemented
16#39721C212yesmaximal, complemented
17#39170C211yesmaximal, characteristic, complemented
18#39166C212yesmaximal, complemented
19#37757C212yesmaximal, complemented
20#37755C214yesmaximal, complemented
21#36505C211yesmaximal, characteristic, complemented
22#36482C212yesmaximal, complemented
23#36303C211yesmaximal, characteristic, complemented
24#36274C211yesmaximal, characteristic, complemented
25#36259C211yesmaximal, characteristic, complemented
26#36219C212yesmaximal, complemented
27#36140C212yesmaximal, complemented
28#36129C211yesmaximal, characteristic, complemented
29#36042C212yesmaximal, complemented
30#36020C212yesmaximal, complemented
31#34720C211yesmaximal, characteristic, complemented
32C2×#2446C212yesmaximal, complemented
33#34334C211yesmaximal, characteristic, complemented
34#34289C212yesmaximal, complemented
35C4×#547C211yesmaximal, characteristic, complemented
36#3503—216no—
37#3482—216no—
38C2×Q82C2212yes—
39C2×#557C2211yescharacteristic
40C2×#557C2211yescharacteristic
41C2×#557C2211yescharacteristic
42C2×#556C2211yescharacteristic
43C2×#556C2212yes—
44C2×#554C2214yes—
45C2×#554C2212yes—
46C2×#552C2212yes—
47C2×#552C2214yes—
48C2×D4×Q8C2212yes—
49C2×D4×Q8C2212yes—
50C2×D4×Q8C2211yescharacteristic
51C2×D4×Q8C2211yescharacteristic
52C2×#548C2212yes—
53C2×#547C2211yescharacteristic
54C2×#547C2212yes—
55C2×#547C2211yescharacteristic
56C2×#547C2212yes—
57C2×#544C2212yes—
58C2×#544C2214yes—
59C2×#533C2211yescharacteristic
60C2×#533C2212yes—
61C2×#533C2211yescharacteristic
62C2×#533C2212yes—
63C22×C4⋊Q8C2211yescharacteristic
64C22×C4⋊Q8C2212yes—
65C2×#529C2212yes—
66C2×#529C2214yes—
67C2×#520C2212yes—
68C2×C4×#41C2211yescharacteristic
69C2×C4×#41C2211yescharacteristic
70C2×C4×#41C2212yes—
71C2×C4×#41C2211yescharacteristic
72C22×C4×Q8C2212yes—
73#2862C2211yescharacteristic
74#2857C2211yescharacteristic
75#2857C2211yescharacteristic
76#2855C2212yes—
77#2855C2214yes—
78#2854C2212yes—
79#2851C2212yes—
80#2850C2212yes—
81#2731C2214yes—
82#2731C2214yes—
83#2731C2214yes—
84#2730C2214yes—
85#2729C2214yes—
86#2729C2214yes—
87#2729C2214yes—
88#2728C2214yes—
89#2725C2214yes—
90#2725C2214yes—
91#2719C2214yes—
92#2719C2214yes—
93#2719C2214yes—
94#2719C2214yes—
95#2719C2214yes—
96#2716C2214yes—
97#2716C2214yes—
98#2716C2214yes—
99#2702C2214yes—
100#2690C2214yes—
101#2690C2214yes—
102#2642C2212yes—
103#2639C2214yes—
104#2621C2212yes—
105#2618C2214yes—
106#2591C2214yes—
107#2582C2211yescharacteristic
108#2581C2212yes—
109#2579C2214yes—
110#2568C2211yescharacteristic
111#2568C2211yescharacteristic
112#2568C2212yes—
113#2565C2212yes—
114#2564C2214yes—
115#2562C2212yes—
116#2560C2214yes—
117#2550C2214yes—
118#2550C2212yes—
119#2550C2212yes—
120#2547C2211yescharacteristic
121#2546C2211yescharacteristic
122#2546C2212yes—
123#2545C2212yes—
124#2545C2212yes—
125#2543C2214yes—
126#2538C2211yescharacteristic
127#2536C2212yes—
128#2519C2214yes—
129#2519C2214yes—
130#2503C2214yes—
131#2503C2212yes—
132#2492C2212yes—
133#2492C2212yes—
134#2492C2212yes—
135#2492C2212yes—
136#2489C2212yes—
137#2489C2212yes—
138#2489C2212yes—
139#2488C2214yes—
140#2488C2214yes—
141#2488C2214yes—
142#2488C2214yes—
143#2488C2214yes—
144#2488C2214yes—
145#2486C2212yes—
146#2486C2214yes—
147#2481C2214yes—
148#2477C2212yes—
149#2477C2214yes—
150#2475C2214yes—
151#2475C2214yes—
152#2475C2214yes—
153#2475C2212yes—
154#2469C2214yes—
155#2469C2214yes—
156#2463C2212yes—
157#2460C2212yes—
158#2460C2214yes—
159#2453C2212yes—
160#2453C2212yes—
161#2453C2214yes—
162#2453C2212yes—
163#2452C2211yescharacteristic
164#2451C2212yes—
165#2451C2212yes—
166#2450C2214yes—
167#2450C2214yes—
168#2449C2214yes—
169#2448C2212yes—
170#2446C2212yes—
171#2446C2212yes—
172#2446C2212yes—
173#2446C2214yes—
174#2446C2214yes—
175#2446C2212yes—
176#2446C2212yes—
177#2446C2214yes—
178#2446C2214yes—
179#2446C2214yes—
180#2446C2211yescharacteristic
181#2446C2212yes—
182#2446C2212yes—
183#2446C2214yes—
184#2446C2212yes—
185#2442C2212yes—
186#2441C2212yes—
187#2439C2212yes—
188#2439C2212yes—
189#2439C2212yes—
190#2439C2214yes—
191#2439C2211yescharacteristic
192#2438C2214yes—
193#2438C2214yes—
194#2438C2214yes—
195#2436C2212yes—
196#2436C2212yes—
197#2432C2211yescharacteristic
198#2432C2212yes—
199#2429C2212yes—
200#2429C2212yes—
201#2429C2212yes—
202#2429C2212yes—
203#2429C2212yes—
204#2427C2211yescharacteristic
205#2425C2214yes—
206#2425C2214yes—
207#2425C2214yes—
208#2421C2214yes—
209#2421C2212yes—
210#2421C2214yes—
211#2421C2211yescharacteristic
212#2421C2212yes—
213#2417C2212yes—
214#2417C2212yes—
215#2417C2212yes—
216#2416C2212yes—
217#2415C2211yescharacteristic
218#2415C2212yes—
219#2413C2214yes—
220#2413C2214yes—
221#2413C2214yes—
222#2409C2212yes—
223#2409C2212yes—
224#2407C2211yescharacteristic
225#2398C2212yes—
226C2×#400C2214yes—
227#2392C2212yes—
228C2×#398C2214yes—
229#2369C2212yes—
230#2368C2214yes—
231#2367C2212yes—
232#2365C2211yescharacteristic
233#2365C2211yescharacteristic
234#2365C2212yes—
235#2364C2214yes—
236#2362C2212yes—
237#2362C2212yes—
238#2362C2211yescharacteristic
239#2362C2214yes—
240#2362C2211yescharacteristic
241#2361C2212yes—
242#2360C2212yes—
243#2360C2212yes—
244#2359C2214yes—
245#2359C2212yes—
246#2359C2214yes—
247#2359C2212yes—
248#2355C2211yescharacteristic
249#2354C2211yescharacteristic
250#2352C2212yes—
251#2352C2212yes—
252#2351C2212yes—
253#2351C2212yes—
254#2349C2212yes—
255#2349C2212yes—
256D4×C4⋊C4C2211yescharacteristic
257D4×C4⋊C4C2211yescharacteristic
258#2344C2212yes—
259#2344C2214yes—
260Q8×C22⋊C4C2212yes—
261Q8×C22⋊C4C2212yes—
262Q8×C22⋊C4C2212yes—
263#2339C2211yescharacteristic
264#2339C2211yescharacteristic
265#2339C2212yes—
266#2339C2212yes—
267#2339C2212yes—
268#2339C2212yes—
269#2331C2212yes—
270#2329C2214yes—
271#2327C2212yes—
272#2325C2214yes—
273#2323C2212yes—
274#2322C2214yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2211yescharacteristic
277C4×#124C2211yescharacteristic
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×#123C2212yes—
285C4×#123C2212yes—
286C4×#123C2214yes—
287C4×#121C2212yes—
288C4×#121C2211yescharacteristic
289#2295C2211yescharacteristic
290C2×#391C2212yes—
291C2×#391C2212yes—
292C2×#391C2212yes—
293C2×#389C2212yes—
294#2290C2212yes—
295C2×#387C2214yes—
296C2×#387C2214yes—
297#2275C2212yes—
298C42×D4C2211yescharacteristic
299C42×D4C2211yescharacteristic
300C2×C4×C4⋊C4C2212yes—
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C23×Q8C2312yes—
306C23×Q8C2312yes—
307C23×Q8C2312yes—
308Q82—216no—
309#557—28no—
310#557—28no—
311#557—28no—
312#556—28no—
313#556—216no—
314#554—232no—
315#554—216no—
316#552—216no—
317#552—232no—
318D4×Q8—216no—
319D4×Q8—216no—
320D4×Q8—28no—
321D4×Q8D4116yescomplemented
322#548—216no—
323#547—28no—
324#547—216no—
325#547—28no—
326#547—216no—
327#544—216no—
328#544—232no—
329#533—28no—
330#533—216no—
331#533—216no—
332#533—28no—
333C2×C4⋊Q8—216no—
334C2×C4⋊Q8—28no—
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2314yes—
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2314yes—
348C2×C4⋊Q8C2311yescharacteristic
349C2×C4⋊Q8C2312yes—
350C2×C4⋊Q8C2314yes—
351C2×C4⋊Q8C2314yes—
352C2×C4⋊Q8C2311yescharacteristic
353C2×C4⋊Q8C2312yes—
354#529—216no—
355#529—232no—
356C2×#126C2314yes—
357C2×#126C2314yes—
358C2×#126C2314yes—
359C2×#125C2312yes—
360C2×#125C2314yes—
361C2×#125C2312yes—
362C2×#125C2312yes—
363C2×#125C2314yes—
364C2×#125C2314yes—
365C2×#125C2312yes—
366C2×#125C2312yes—
367C2×#125C2314yes—
368C2×#125C2314yes—
369C2×#124C2312yes—
370C2×#124C2314yes—
371C2×#124C2312yes—
372C2×#124C2311yescharacteristic
373C2×#123C2314yes—
374C2×#123C2312yes—
375C2×#123C2312yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×C22⋊Q8C2314yes—
381C2×C22⋊Q8C2314yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2311yescharacteristic
386C2×C22⋊Q8C2311yescharacteristic
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2311yescharacteristic
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2311yescharacteristic
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2312yes—
404C2×#121C2314yes—
405C2×#121C2314yes—
406C2×#121C2312yes—
407C2×#121C2312yes—
408C2×#121C2311yescharacteristic
409#520—216no—
410C4×#41—28no—
411C4×#41—28no—
412C4×#41—216no—
413C4×#41—28no—
414C2×C4×Q8—216no—
415C2×C4×Q8C2311yescharacteristic
416C2×C4×Q8C2311yescharacteristic
417C2×C4×Q8C2312yes—
418C2×C4×Q8C2312yes—
419C2×C4×Q8C2311yescharacteristic
420C2×C4×Q8C2312yes—
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2312yes—
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2311yescharacteristic
426C2×C4×Q8C2311yescharacteristic
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2312yes—
429C2×C4×Q8C2314yes—
430C2×C4×Q8C2311yescharacteristic
431C2×C4×Q8C2314yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2314yes—
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2311yescharacteristic
437C2×C4×D4C2312yes—
438C2×C4×D4C2314yes—
439C2×C4×D4C2314yes—
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2312yes—
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2312yes—
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2311yescharacteristic
447C2×C4×D4C2312yes—
448C2×C4×D4C2311yescharacteristic
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2314yes—
452C2×C4×D4C2314yes—
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2312yes—
461C2×#117C2312yes—
462C2×#117C2312yes—
463C2×#117C2312yes—
464C2×#117C2314yes—
465C2×#117C2314yes—
466C2×#117C2312yes—
467C2×#117C2312yes—
468C2×#117C2311yescharacteristic
469C2×#117C2311yescharacteristic
470C2×#117C2311yescharacteristic
471C2×#117C2314yes—
472C2×#117C2312yes—
473C22×C4⋊C4C2314yes—
474C22×C4⋊C4C2314yes—
475C22×C4⋊C4C2312yes—
476C22×C4⋊C4C2314yes—
477C22×C4⋊C4C2312yes—
478C22×C4⋊C4C2312yes—
479C22×C4⋊C4C2312yes—
480C22×C4⋊C4C2314yes—
481C22×C4⋊C4C2312yes—
482C22×C4⋊C4C2312yes—
483C22×C42C2312yes—
484C22×C42C2312yes—
485C22×C42C2312yes—
486C22×C42C2314yes—
487C22×C42C2311yescharacteristic
488C22×C42C2311yescharacteristic
489C22×C42C2312yes—
490#400C2314yes—
491#400C2314yes—
492#400C2314yes—
493#400C2314yes—
494#400C2314yes—
495#400C2314yes—
496#400C2314yes—
497#400C2314yes—
498#400C2314yes—
499#400C2314yes—
500#400C2314yes—
501#400C2312yes—
502#400C2314yes—
503#400C2314yes—
504#400C2314yes—
505#400C2314yes—
506#400C2312yes—
507#400C2314yes—
508#400C2314yes—
509#399C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2314yes—
518#398C2312yes—
519#398C2314yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#398C2314yes—
524#398C2314yes—
525#398C2314yes—
526#398C2314yes—
527#398C2314yes—
528#397C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#397C2314yes—
533#397C2312yes—
534#397C2312yes—
535#397C2312yes—
536#397C2314yes—
537#396C2314yes—
538#396C2314yes—
539#396C2314yes—
540#396C2314yes—
541#396C2314yes—
542#396C2314yes—
543#396C2312yes—
544#396C2312yes—
545#396C2314yes—
546#396C2314yes—
547#396C2314yes—
548#395C2314yes—
549#395C2314yes—
550#395C2314yes—
551#394C2312yes—
552#394C2314yes—
553#394C2312yes—
554#394C2312yes—
555#394C2314yes—
556#394C2312yes—
557#394C2312yes—
558#394C2314yes—
559#393C2314yes—
560#393C2314yes—
561#393C2314yes—
562#393C2314yes—
563#393C2312yes—
564#393C2312yes—
565#393C2314yes—
566#393C2314yes—
567#392C2312yes—
568#391C2314yes—
569#391C2311yescharacteristic
570#391C2311yescharacteristic
571#391C2312yes—
572#391C2312yes—
573#391C2312yes—
574#391C2312yes—
575#391C2311yescharacteristic
576#391C2312yes—
577#391C2312yes—
578#391C2312yes—
579#391C2312yes—
580#391C2312yes—
581#391C2314yes—
582#391C2312yes—
583#391C2312yes—
584#391C2312yes—
585#391C2312yes—
586#391C2314yes—
587#391C2314yes—
588#391C2314yes—
589#391C2312yes—
590#391C2311yescharacteristic
591#391C2311yescharacteristic
592#391C2312yes—
593#391C2314yes—
594#391C2314yes—
595#391C2312yes—
596#391C2312yes—
597#391C2312yes—
598#391C2314yes—
599#391C2314yes—
600#391C2312yes—
601#391C2314yes—
602#391C2311yescharacteristic
603#391C2311yescharacteristic
604#391C2311yescharacteristic
605#391C2314yes—
606#391C2312yes—
607#391C2314yes—
608#391C2314yes—
609#390C2312yes—
610#390C2311yescharacteristic
611#390C2311yescharacteristic
612#390C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2314yes—
618#389C2314yes—
619#389C2312yes—
620#389C2314yes—
621#389C2311yescharacteristic
622#389C2312yes—
623#389C2314yes—
624#389C2312yes—
625#389C2312yes—
626#389C2311yescharacteristic
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2311yescharacteristic
631#389C2314yes—
632#389C2314yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2314yes—
638#389C2314yes—
639#389C2311yescharacteristic
640#389C2314yes—
641#389C2314yes—
642#389C2314yes—
643#389C2312yes—
644#389C2311yescharacteristic
645#389C2312yes—
646#389C2314yes—
647#389C2311yescharacteristic
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2312yes—
664#388C2312yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#388C2312yes—
669#388C2312yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2312yes—
674#388C2314yes—
675#388C2312yes—
676#388C2312yes—
677#388C2312yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2312yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2312yes—
697#387C2314yes—
698#387C2314yes—
699#387C2312yes—
700#387C2314yes—
701#387C2312yes—
702#387C2312yes—
703#387C2312yes—
704#387C2312yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2312yes—
709#387C2312yes—
710#387C2314yes—
711#387C2312yes—
712#387C2312yes—
713#387C2314yes—
714#387C2312yes—
715#387C2314yes—
716#387C2312yes—
717#387C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2312yes—
725#386C2312yes—
726#386C2314yes—
727#386C2314yes—
728#386C2312yes—
729#386C2314yes—
730#386C2312yes—
731#386C2312yes—
732#386C2314yes—
733#386C2312yes—
734#386C2314yes—
735#386C2312yes—
736#385C2312yes—
737#385C2314yes—
738#385C2312yes—
739#385C2314yes—
740#385C2314yes—
741#385C2312yes—
742#385C2312yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2312yes—
748#385C2314yes—
749#385C2314yes—
750#385C2312yes—
751#385C2312yes—
752#385C2312yes—
753#385C2312yes—
754#384C2311yescharacteristic
755#384C2311yescharacteristic
756#382C2312yes—
757#382C2312yes—
758#382C2314yes—
759#382C2312yes—
760#382C2312yes—
761#382C2312yes—
762#382C2311yescharacteristic
763#382C2314yes—
764#382C2314yes—
765#381C2312yes—
766#381C2314yes—
767#381C2314yes—
768#381C2314yes—
769#381C2314yes—
770#381C2312yes—
771#380C2311yescharacteristic
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2314yes—
777#380C2311yescharacteristic
778#380C2314yes—
779#380C2312yes—
780#380C2311yescharacteristic
781#380C2312yes—
782#380C2312yes—
783#380C2314yes—
784#380C2314yes—
785#380C2312yes—
786#380C2312yes—
787#380C2311yescharacteristic
788#380C2312yes—
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2314yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2314yes—
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2314yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2312yes—
815C4×C22⋊C4C2314yes—
816C4×C22⋊C4C2314yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2314yes—
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2311yescharacteristic
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2311yescharacteristic
832C4×C22⋊C4C2311yescharacteristic
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2311yescharacteristic
836#376C2312yes—
837C2×#95C2314yes—
838C2×#95C2314yes—
839C2×#95C2312yes—
840C2×#95C2312yes—
841C2×#95C2314yes—
842C2×#95C2314yes—
843C2×#95C2314yes—
844C2×#95C2314yes—
845C2×#95C2314yes—
846C43C2311yescharacteristic
847C2×#41—24no—
848C2×#41—24no—
849C2×#41—24no—
850C2×#41—28no—
851C2×#41—24no—
852C2×#41—28no—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—28no—
856C2×#41—42no—
857C2×#41—42no—
858C2×#41#4118yescomplemented
859C22×Q8—28no—
860C22×Q8—28no—
861C22×Q8—44no—
862C22×Q8—44no—
863C22×Q8—44no—
864C22×Q8—44no—
865C22×Q8—44no—
866C22×Q8—44no—
867C22×Q8C2×D4116yes—
868C22×Q8C2411yescharacteristic
869C22×Q8C2412yes—
870C22×Q8C2411yescharacteristic
871C22×Q8C2412yes—
872C22×Q8C2412yes—
873C22×Q8C2412yes—
874C22×Q8C2411yescharacteristic
875C22×Q8C2411yescharacteristic
876C22×Q8C2414yes—
877C22×Q8C2414yes—
878C22×Q8C2414yes—
879C22×D4C2414yes—
880C22×D4C2412yes—
881C22×D4C2411yescharacteristic
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2411yescharacteristic
887C23×C4C2412yes—
888C23×C4C2414yes—
889C23×C4C2411yescharacteristic
890C23×C4C2412yes—
891C23×C4C2411yescharacteristic
892C23×C4C2411yescharacteristic
893C23×C4C2412yes—
894C23×C4C2411yescharacteristic
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2411yescharacteristic
898C23×C4C2412yes—
899C23×C4C2412yes—
900C23×C4C2412yes—
901C23×C4C2411yescharacteristic
902C23×C4C2414yes—
903C23×C4C2414yes—
904C23×C4C2414yes—
905C23×C4C2412yes—
906C23×C4C2412yes—
907C23×C4C2414yes—
908C4⋊Q8—24no—
909C4⋊Q8—28no—
910C4⋊Q8—216no—
911C4⋊Q8—28no—
912C4⋊Q8—28no—
913C4⋊Q8—216no—
914C4⋊Q8—216no—
915C4⋊Q8—24no—
916C4⋊Q8—28no—
917C4⋊Q8—28no—
918C4⋊Q8—28no—
919C4⋊Q8—24no—
920C4⋊Q8—216no—
921C4⋊Q8—28no—
922C4⋊Q8—24no—
923C4⋊Q8—24no—
924C4⋊Q8—28no—
925C4⋊Q8C2×D418yes—
926C4⋊Q8C2×D4116yes—
927#126—216no—
928#126—216no—
929#126—216no—
930#125—28no—
931#125—216no—
932#125—216no—
933#125—28no—
934#125—28no—
935#125—216no—
936#125—216no—
937#125—216no—
938#125—28no—
939#125—28no—
940#124—28no—
941#124—216no—
942#124—44no—
943#124—42no—
944#123—28no—
945#123—216no—
946#123—216no—
947#123—28no—
948#123—216no—
949#123—216no—
950#123—216no—
951C22⋊Q8—28no—
952C22⋊Q8—216no—
953C22⋊Q8—24no—
954C22⋊Q8—216no—
955C22⋊Q8—24no—
956C22⋊Q8—28no—
957C22⋊Q8—28no—
958C22⋊Q8—216no—
959C22⋊Q8—28no—
960C22⋊Q8—24no—
961C22⋊Q8—28no—
962C22⋊Q8—28no—
963C22⋊Q8—28no—
964C22⋊Q8—24no—
965C22⋊Q8—28no—
966C22⋊Q8—216no—
967C22⋊Q8—28no—
968C22⋊Q8—216no—
969C22⋊Q8—216no—
970C22⋊Q8—216no—
971C22⋊Q8—44no—
972C22⋊Q8—42no—
973C22⋊Q8C2×D4116yes—
974C22⋊Q8C2×D4132yes—
975#121—28no—
976#121—216no—
977#121—28no—
978#121—216no—
979#121—42no—
980C4×Q8—24no—
981C4×Q8—28no—
982C4×Q8—216no—
983C4×Q8—28no—
984C4×Q8—28no—
985C4×Q8—216no—
986C4×Q8—28no—
987C4×Q8—28no—
988C4×Q8—24no—
989C4×Q8—24no—
990C4×Q8—28no—
991C4×Q8—28no—
992C4×Q8—216no—
993C4×Q8—24no—
994C4×Q8—28no—
995C4×Q8—24no—
996C4×Q8—28no—
997C4×Q8—24no—
998C4×Q8—28no—
999C4×Q8—44no—
1000C4×Q8—44no—
1001C4×Q8C2×D418yes—
1002C4×D4—24no—
1003C4×D4—24no—
1004C4×D4—28no—
1005C4×D4—24no—
1006C4×D4—28no—
1007C4×D4—24no—
1008C4×D4—28no—
1009C4×D4—216no—
1010C4×D4—28no—
1011C4×D4—216no—
1012C4×D4—24no—
1013C4×D4—28no—
1014C4×D4—24no—
1015C4×D4—28no—
1016C4×D4—24no—
1017C4×D4—28no—
1018C4×D4—216no—
1019C4×D4—28no—
1020C4×D4—216no—
1021C4×D4—24no—
1022C4×D4—28no—
1023C4×D4—42no—
1024C4×D4C2×D418yes—
1025C4×D4C2×D4116yes—
1026#117—24no—
1027#117—24no—
1028#117—28no—
1029#117—28no—
1030#117—24no—
1031#117—28no—
1032#117—216no—
1033#117—28no—
1034#117—216no—
1035#117—28no—
1036#117—216no—
1037#117—28no—
1038C2×C4⋊C4—28no—
1039C2×C4⋊C4—216no—
1040C2×C4⋊C4—216no—
1041C2×C4⋊C4—216no—
1042C2×C4⋊C4—28no—
1043C2×C4⋊C4—216no—
1044C2×C4⋊C4—28no—
1045C2×C4⋊C4—28no—
1046C2×C4⋊C4—28no—
1047C2×C4⋊C4—44no—
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2411yescharacteristic
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2411yescharacteristic
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2411yescharacteristic
1143C2×C22⋊C4C2411yescharacteristic
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2411yescharacteristic
1151C2×C22⋊C4C2411yescharacteristic
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2412yes—
1166C2×C42—28no—
1167C2×C42—216no—
1168C2×C42—28no—
1169C2×C42—24no—
1170C2×C42—28no—
1171C2×C42—24no—
1172C2×C42—44no—
1173C2×C42C2411yescharacteristic
1174C2×C42C2412yes—
1175C2×C42C2414yes—
1176C2×C42C2412yes—
1177C2×C42C2414yes—
1178C2×C42C2412yes—
1179C2×C42C2411yescharacteristic
1180C2×C42C2412yes—
1181C2×C42C2412yes—
1182C2×C42C2414yes—
1183C2×C42C2414yes—
1184C2×C42C2411yescharacteristic
1185C2×C42C2412yes—
1186C2×C42C2412yes—
1187C2×C42C2414yes—
1188C2×C42C2411yescharacteristic
1189C2×C42C2412yes—
1190C2×C42C2412yes—
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2412yes—
1194C2×C42C2411yescharacteristic
1195C2×C42C2411yescharacteristic
1196C2×C42C2411yescharacteristic
1197C2×C42C2411yescharacteristic
1198C2×C42C2412yes—
1199C2×C42C2411yescharacteristic
1200C2×C42C2414yes—
1201C2×C42C2414yes—
1202C2×C42C2411yescharacteristic
1203C2×C42C2414yes—
1204C2×C42C2412yes—
1205C2×C42C2412yes—
1206C2×C42C2412yes—
1207C2×C42C2411yescharacteristic
1208#95C2412yes—
1209#95C2411yescharacteristic
1210#95C2411yescharacteristic
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2414yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2411yescharacteristic
1248#95C2411yescharacteristic
1249#95C2411yescharacteristic
1250#95C2411yescharacteristic
1251#95C2412yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2414yes—
1268#95C2412yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2412yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278C24C2512yes—
1279C24C2511yescharacteristic
1280C24C2511yescharacteristic
1281C24C2512yes—
1282#41—232no—
1283#41—416no—
1284#41—416no—
1285#41—432no—
1286C2×Q8—22no—
1287C2×Q8—24no—
1288C2×Q8—24no—
1289C2×Q8—22no—
1290C2×Q8—24no—
1291C2×Q8—22no—
1292C2×Q8—28no—
1293C2×Q8—28no—
1294C2×Q8—24no—
1295C2×Q8—22no—
1296C2×Q8—22no—
1297C2×Q8—24no—
1298C2×Q8—22no—
1299C2×Q8—24no—
1300C2×Q8—24no—
1301C2×Q8—24no—
1302C2×Q8—22no—
1303C2×Q8—22no—
1304C2×Q8—22no—
1305C2×Q8—24no—
1306C2×Q8—24no—
1307C2×Q8—22no—
1308C2×Q8—44no—
1309C2×Q8—44no—
1310C2×Q8—42no—
1311C2×Q8—44no—
1312C2×Q8—44no—
1313C2×Q8—44no—
1314C2×Q8—44no—
1315C2×Q8—432no—
1316C2×Q8—816no—
1317C2×Q8—816no—
1318C2×Q8C22×D414yes—
1319C2×Q8C22×D418yes—
1320C2×Q8C22×D4116yes—
1321C2×Q8C2×#4114yes—
1322C2×D4—24no—
1323C2×D4—24no—
1324C2×D4—24no—
1325C2×D4—28no—
1326C2×D4—22no—
1327C2×D4—28no—
1328C2×D4—24no—
1329C2×D4—28no—
1330C2×D4—24no—
1331C2×D4—24no—
1332C2×D4—24no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—41no—
1338C2×D4—42no—
1339C2×D4—42no—
1340C2×D4—42no—
1341C2×D4—42no—
1342C2×D4C22×D414yes—
1343C2×D4C2×#4118yes—
1344C2×D4C2×#4114yes—
1345C2×D42−1+414yes—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—24no—
1351C22×C4—24no—
1352C22×C4—24no—
1353C22×C4—24no—
1354C22×C4—28no—
1355C22×C4—24no—
1356C22×C4—24no—
1357C22×C4—24no—
1358C22×C4—28no—
1359C22×C4—24no—
1360C22×C4—28no—
1361C22×C4—28no—
1362C22×C4—28no—
1363C22×C4—24no—
1364C22×C4—22no—
1365C22×C4—24no—
1366C22×C4—22no—
1367C22×C4—24no—
1368C22×C4—22no—
1369C22×C4—24no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—24no—
1373C22×C4—22no—
1374C22×C4—24no—
1375C22×C4—24no—
1376C22×C4—24no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—24no—
1380C22×C4—24no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—28no—
1387C22×C4—42no—
1388C22×C4—42no—
1389C22×C4—41no—
1390C22×C4—41no—
1391C22×C4—42no—
1392C22×C4—42no—
1393C22×C4—44no—
1394C22×C4—44no—
1395C22×C4—42no—
1396C22×C4—42no—
1397C22×C4—42no—
1398C22×C4—44no—
1399C22×C4—42no—
1400C22×C4—44no—
1401C22×C4—44no—
1402C22×C4—44no—
1403C22×C4—44no—
1404C22×C4—44no—
1405C22×C4C22×D418yes—
1406C22×C4C22×D4116yes—
1407C22×C4C2×#4118yes—
1408C22×C4C2×#4114yes—
1409C22×C4C2511yescharacteristic
1410C22×C4C2511yescharacteristic
1411C22×C4C2512yes—
1412C22×C4C2512yes—
1413C22×C4C2512yes—
1414C22×C4C2512yes—
1415C22×C4C2514yes—
1416C22×C4C2511yescharacteristic
1417C22×C4C2512yes—
1418C22×C4C2511yescharacteristic
1419C22×C4C2511yescharacteristic
1420C22×C4C2512yes—
1421C22×C4C2514yes—
1422C22×C4C2512yes—
1423C22×C4C2514yes—
1424C22×C4C2512yes—
1425C22×C4C2512yes—
1426C22×C4C2512yes—
1427C22×C4C2511yescharacteristic
1428C22×C4C2512yes—
1429C22×C4C2512yes—
1430C22×C4C2512yes—
1431C22×C4C2511yescharacteristic
1432C22×C4C2514yes—
1433C22×C4C2512yes—
1434C22×C4C2511yescharacteristic
1435C22×C4C2511yescharacteristic
1436C22×C4C2511yescharacteristic
1437C22×C4C2511yescharacteristic
1438C22×C4C2511yescharacteristic
1439C22×C4C2511yescharacteristic
1440C4⋊C4—24no—
1441C4⋊C4—22no—
1442C4⋊C4—24no—
1443C4⋊C4—28no—
1444C4⋊C4—24no—
1445C4⋊C4—28no—
1446C4⋊C4—28no—
1447C4⋊C4—28no—
1448C4⋊C4—24no—
1449C4⋊C4—28no—
1450C4⋊C4—24no—
1451C4⋊C4—28no—
1452C4⋊C4—28no—
1453C4⋊C4—28no—
1454C4⋊C4—28no—
1455C4⋊C4—28no—
1456C4⋊C4—24no—
1457C4⋊C4—22no—
1458C4⋊C4—24no—
1459C4⋊C4—24no—
1460C4⋊C4—28no—
1461C4⋊C4—24no—
1462C4⋊C4—22no—
1463C4⋊C4—28no—
1464C4⋊C4—24no—
1465C4⋊C4—24no—
1466C4⋊C4—28no—
1467C4⋊C4—24no—
1468C4⋊C4—22no—
1469C4⋊C4—28no—
1470C4⋊C4—24no—
1471C4⋊C4—28no—
1472C4⋊C4—24no—
1473C4⋊C4—28no—
1474C4⋊C4—24no—
1475C4⋊C4—22no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—28no—
1479C4⋊C4—24no—
1480C4⋊C4—28no—
1481C4⋊C4—24no—
1482C4⋊C4—28no—
1483C4⋊C4—22no—
1484C4⋊C4—24no—
1485C4⋊C4—28no—
1486C4⋊C4—24no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—24no—
1490C4⋊C4—22no—
1491C4⋊C4—24no—
1492C4⋊C4—24no—
1493C4⋊C4—22no—
1494C4⋊C4—24no—
1495C4⋊C4—22no—
1496C4⋊C4—44no—
1497C4⋊C4—42no—
1498C4⋊C4—42no—
1499C4⋊C4—44no—
1500C4⋊C4—42no—
1501C4⋊C4—41no—
1502C4⋊C4—44no—
1503C4⋊C4—44no—
1504C4⋊C4—42no—
1505C4⋊C4—44no—
1506C4⋊C4C22×D418yes—
1507C4⋊C4C22×D418yes—
1508C4⋊C4C22×D414yes—
1509C4⋊C4C22×D414yes—
1510C4⋊C4C22×D418yes—
1511C4⋊C4C22×D4116yes—
1512C4⋊C42−1+414yes—
1513C22⋊C4—24no—
1514C22⋊C4—28no—
1515C22⋊C4—24no—
1516C22⋊C4—24no—
1517C22⋊C4—28no—
1518C22⋊C4—22no—
1519C22⋊C4—24no—
1520C22⋊C4—28no—
1521C22⋊C4—24no—
1522C22⋊C4—24no—
1523C22⋊C4—24no—
1524C22⋊C4—24no—
1525C22⋊C4—24no—
1526C22⋊C4—24no—
1527C22⋊C4—24no—
1528C22⋊C4—24no—
1529C22⋊C4—24no—
1530C22⋊C4—28no—
1531C22⋊C4—28no—
1532C22⋊C4—28no—
1533C22⋊C4—28no—
1534C22⋊C4—22no—
1535C22⋊C4—24no—
1536C22⋊C4—24no—
1537C22⋊C4—28no—
1538C22⋊C4—22no—
1539C22⋊C4—22no—
1540C22⋊C4—24no—
1541C22⋊C4—24no—
1542C22⋊C4—42no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C22⋊C4—44no—
1546C22⋊C4—42no—
1547C22⋊C4—41no—
1548C22⋊C4—41no—
1549C22⋊C4—42no—
1550C22⋊C4—42no—
1551C22⋊C4—44no—
1552C22⋊C4—42no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—42no—
1556C22⋊C4C22×D418yes—
1557C22⋊C4C22×D4116yes—
1558C42—24no—
1559C42—22no—
1560C42—22no—
1561C42—22no—
1562C42—24no—
1563C42—22no—
1564C42—24no—
1565C42—28no—
1566C42—24no—
1567C42—28no—
1568C42—24no—
1569C42—22no—
1570C42—28no—
1571C42—24no—
1572C42—24no—
1573C42—24no—
1574C42—22no—
1575C42—28no—
1576C42—28no—
1577C42—24no—
1578C42—22no—
1579C42—24no—
1580C42—22no—
1581C42—22no—
1582C42—22no—
1583C42—24no—
1584C42—22no—
1585C42—42no—
1586C42—42no—
1587C42—44no—
1588C42—41no—
1589C42—44no—
1590C42—44no—
1591C42C22×D414yes—
1592C42C22×D418yes—
1593C23—22no—
1594C23—22no—
1595C23—22no—
1596C23—22no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—22no—
1604C23—21no—
1605C23—22no—
1606C23—21no—
1607C23—22no—
1608C23—21no—
1609C23—22no—
1610C23—21no—
1611C23—21no—
1612C23—22no—
1613C23—21no—
1614C23—22no—
1615C23—21no—
1616C23—22no—
1617C23C23×D414yes—
1618C23C22×#4112yes—
1619C23C22×#4114yes—
1620C23C2×2−1+414yes—
1621C23C2611yescharacteristic
1622Q8—28no—
1623Q8—28no—
1624Q8—216no—
1625Q8—416no—
1626Q8—48no—
1627Q8—48no—
1628Q8—44no—
1629Q8—44no—
1630Q8—48no—
1631Q8—88no—
1632Q8—88no—
1633D4—216no—
1634D4—44no—
1635D4—48no—
1636D4—416no—
1637D4—48no—
1638D4—44no—
1639D4—84no—
1640D4#548116yes—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—24no—
1653C2×C4—24no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—216no—
1662C2×C4—28no—
1663C2×C4—216no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—22no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—24no—
1672C2×C4—21no—
1673C2×C4—24no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—24no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—24no—
1683C2×C4—22no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—24no—
1697C2×C4—21no—
1698C2×C4—22no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—24no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—24no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—24no—
1711C2×C4—22no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—21no—
1715C2×C4—24no—
1716C2×C4—21no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—416no—
1722C2×C4—44no—
1723C2×C4—48no—
1724C2×C4—44no—
1725C2×C4—48no—
1726C2×C4—48no—
1727C2×C4—48no—
1728C2×C4—48no—
1729C2×C4—48no—
1730C2×C4—416no—
1731C2×C4—48no—
1732C2×C4—44no—
1733C2×C4—44no—
1734C2×C4—44no—
1735C2×C4—88no—
1736C2×C4—88no—
1737C2×C4—84no—
1738C2×C4—88no—
1739C2×C4C23×D414yes—
1740C2×C4C23×D414yes—
1741C2×C4C23×D414yes—
1742C2×C4C23×D418yes—
1743C2×C4C23×D412yes—
1744C2×C4C23×D412yes—
1745C2×C4C23×D412yes—
1746C2×C4C22×#4112yes—
1747C2×C4C22×#4114yes—
1748C2×C4C22×#4112yes—
1749C2×C4C2×2−1+412yes—
1750C2×C4C2×2−1+412yes—
1751C2×C4C2×2−1+412yes—
1752C2×C4C2×2−1+412yes—
1753C2×C4#58512yes—
1754C2×C4#58512yes—
1755C22—24no—
1756C22—24no—
1757C22—24no—
1758C22—24no—
1759C22—24no—
1760C22—24no—
1761C22—22no—
1762C22—22no—
1763C22—22no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—42no—
1769C22—41no—
1770C22—42no—
1771C22—41no—
1772C22—42no—
1773C22—41no—
1774C22—42no—
1775C22—41no—
1776C22—41no—
1777C22—42no—
1778C22—42no—
1779C22—41no—
1780C22—42no—
1781C22—41no—
1782C22C2×#54818yes—
1783C22C24×D411yescharacteristic
1784C22C23×#4111yescharacteristic
1785C22C22×2−1+411yescharacteristic
1786C22C22×2−1+411yescharacteristic
1787C22C2×#58511yescharacteristic
1788C22C2×#58511yescharacteristic
1789C222−1+611yescharacteristic
1790C4—22no—
1791C4—22no—
1792C4—22no—
1793C4—24no—
1794C4—24no—
1795C4—24no—
1796C4—28no—
1797C4—22no—
1798C4—22no—
1799C4—24no—
1800C4—42no—
1801C4—42no—
1802C4—42no—
1803C4—41no—
1804C4—44no—
1805C4—42no—
1806C4—41no—
1807C4—41no—
1808C4—44no—
1809C4—42no—
1810C4—41no—
1811C4—42no—
1812C4—42no—
1813C4—42no—
1814C4—41no—
1815C4—42no—
1816C4—41no—
1817C4—42no—
1818C4—44no—
1819C4C2×#54814yes—
1820C4#348514yes—
1821C2—28no—
1822C2—42no—
1823C2—82no—
1824C2—81no—
1825C2C22×#54811yescharacteristic
1826C2C2×#348511yescharacteristic
1827C2#6280511yescharacteristic
1828C2#6295011yescharacteristic
1829C2D4×2−1+411yescharacteristic
1830C2#6300911yescharacteristic
1831C2#6303211yescharacteristic
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×#3503C2semidirect
2. C2×#3482C2semidirect
3. #59653C2semidirect
4. #59651C2semidirect
5. #59134C2semidirect
6. #59111C2semidirect
7. #59081C2semidirect
8. #59077C2semidirect
9. #59075C2semidirect
10. #59071C2semidirect
11. #45338C2semidirect
12. #45098C2semidirect
13. #44448C2semidirect
14. #43532C2semidirect
15. #39724C2semidirect
16. #39721C2semidirect
17. #39170C2semidirect
18. #39166C2semidirect
19. #37757C2semidirect
20. #37755C2semidirect
21. #36505C2semidirect
22. #36482C2semidirect
23. #36303C2semidirect
24. #36274C2semidirect
25. #36259C2semidirect
26. #36219C2semidirect
27. #36140C2semidirect
28. #36129C2semidirect
29. #36042C2semidirect
30. #36020C2semidirect
31. #34720C2semidirect
32. C2×#2446C2semidirect
33. #34334C2semidirect
34. #34289C2semidirect
35. C4×#547C2semidirect
321. D4×Q8D4semidirect
858. C2×#41#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35032
C2×#34822
#596532
#596512
#591342
#591112
#590812
#590772
#590752
#590712
#453382
#450982
#444482
#435322
#397242
#397212
#391702
#391662
#377572
#377552
#365052
#364822
#363032
#362742
#362592
#362192
#361402
#361292
#360422
#360202
#347202
C2×#24462
#343342
#342892
C4×#5472