Finite Group Databasebeta

← #7986133

Subgroups — #7986133

Order 512.

6954 conjugacy classes of subgroups.

The subgroup lattice has 1909 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3547C211yesmaximal, characteristic, complemented
2C2×#3552C211yesmaximal, characteristic, complemented
3#59813C212yesmaximal, complemented
4#59652C212yesmaximal, complemented
5#59410C211yesmaximal, characteristic, complemented
6#59125C211yesmaximal, characteristic, complemented
7#59065C211yesmaximal, characteristic, complemented
8#49579C214yesmaximal, complemented
9#47863C214yesmaximal, complemented
10#45789C214yesmaximal, complemented
11#45244C212yesmaximal, complemented
12#45185C212yesmaximal, complemented
13#45109C212yesmaximal, complemented
14#44893C212yesmaximal, complemented
15#42797C212yesmaximal, complemented
16#42786C212yesmaximal, complemented
17#42445C212yesmaximal, complemented
18#42440C212yesmaximal, complemented
19#39441C214yesmaximal, complemented
20#39437C212yesmaximal, complemented
21#39365C212yesmaximal, complemented
22#39340C211yesmaximal, characteristic, complemented
23#39127C211yesmaximal, characteristic, complemented
24#39126C211yesmaximal, characteristic, complemented
25#38922C211yesmaximal, characteristic, complemented
26#36562C211yesmaximal, characteristic, complemented
27#36468C212yesmaximal, complemented
28#36434C212yesmaximal, complemented
29#36415C211yesmaximal, characteristic, complemented
30#36129C211yesmaximal, characteristic, complemented
31#35169C212yesmaximal, complemented
32#35153C212yesmaximal, complemented
33#34934C211yesmaximal, characteristic, complemented
34#34889C211yesmaximal, characteristic, complemented
35C4×D4×Q8C211yesmaximal, characteristic, complemented
36#3552—216no—
37#3547—216no—
38C2×#563C2214yes—
39C2×#562C2214yes—
40C2×#557C2211yescharacteristic
41C2×#556C2211yescharacteristic
42C2×#555C2212yes—
43C2×#555C2211yescharacteristic
44C2×#554C2212yes—
45C2×#554C2211yescharacteristic
46C2×#553C2212yes—
47C2×#553C2212yes—
48C2×#552C2212yes—
49C2×D4×Q8C2212yes—
50C2×D4×Q8C2211yescharacteristic
51C2×#548C2212yes—
52C2×#548C2212yes—
53C2×#548C2212yes—
54C2×#547C2211yescharacteristic
55C2×#547C2211yescharacteristic
56C2×#544C2212yes—
57C2×#544C2212yes—
58C2×#542C2214yes—
59C2×#542C2212yes—
60C2×#541C2212yes—
61C2×#540C2212yes—
62C2×#539C2214yes—
63C2×#537C2212yes—
64C2×#537C2212yes—
65C2×#536C2212yes—
66C2×#536C2212yes—
67C2×#533C2211yescharacteristic
68C2×#532C2211yescharacteristic
69C22×C4⋊Q8C2211yescharacteristic
70C2×#529C2211yescharacteristic
71C2×#529C2211yescharacteristic
72C2×#529C2211yescharacteristic
73C22×C4×Q8C2212yes—
74#2862C2211yescharacteristic
75#2859C2212yes—
76#2857C2211yescharacteristic
77#2857C2211yescharacteristic
78#2854C2214yes—
79#2854C2214yes—
80#2850C2212yes—
81#2850C2214yes—
82#2814C2214yes—
83#2813C2214yes—
84#2734C2214yes—
85#2732C2214yes—
86#2731C2214yes—
87#2730C2214yes—
88#2730C2214yes—
89#2730C2214yes—
90#2729C2214yes—
91#2728C2214yes—
92#2726C2214yes—
93#2725C2214yes—
94#2723C2214yes—
95#2722C2214yes—
96#2719C2214yes—
97#2715C2214yes—
98#2715C2214yes—
99#2711C2214yes—
100#2707C2214yes—
101#2705C2214yes—
102#2702C2214yes—
103#2695C2214yes—
104#2691C2214yes—
105#2691C2214yes—
106#2690C2214yes—
107#2683C2214yes—
108#2681C2214yes—
109#2676C2214yes—
110#2676C2214yes—
111#2675C2214yes—
112#2674C2214yes—
113#2672C2214yes—
114#2672C2214yes—
115#2671C2214yes—
116#2671C2214yes—
117#2663C2214yes—
118#2661C2214yes—
119#2630C2214yes—
120#2630C2214yes—
121#2629C2212yes—
122#2629C2212yes—
123#2624C2212yes—
124#2618C2214yes—
125#2618C2214yes—
126#2616C2212yes—
127#2602C2214yes—
128#2602C2214yes—
129#2567C2211yescharacteristic
130#2566C2212yes—
131#2565C2212yes—
132#2563C2211yescharacteristic
133#2562C2212yes—
134#2562C2212yes—
135#2559C2214yes—
136#2559C2214yes—
137#2559C2214yes—
138#2559C2212yes—
139#2557C2212yes—
140#2557C2214yes—
141#2557C2214yes—
142#2557C2214yes—
143#2556C2214yes—
144#2556C2214yes—
145#2556C2214yes—
146#2556C2214yes—
147#2555C2214yes—
148#2554C2212yes—
149#2554C2214yes—
150#2554C2212yes—
151#2553C2214yes—
152#2552C2211yescharacteristic
153#2550C2212yes—
154#2550C2211yescharacteristic
155#2548C2211yescharacteristic
156#2547C2211yescharacteristic
157#2545C2212yes—
158#2545C2214yes—
159#2544C2211yescharacteristic
160#2542C2211yescharacteristic
161#2541C2211yescharacteristic
162#2540C2211yescharacteristic
163#2540C2212yes—
164#2538C2212yes—
165#2538C2211yescharacteristic
166#2538C2211yescharacteristic
167#2537C2212yes—
168#2537C2212yes—
169#2537C2211yescharacteristic
170#2537C2212yes—
171#2536C2212yes—
172#2536C2214yes—
173#2535C2212yes—
174#2535C2212yes—
175#2535C2211yescharacteristic
176#2521C2212yes—
177#2512C2212yes—
178#2499C2212yes—
179#2496C2214yes—
180#2492C2212yes—
181#2492C2211yescharacteristic
182#2491C2212yes—
183#2490C2214yes—
184#2490C2211yescharacteristic
185#2490C2211yescharacteristic
186#2490C2211yescharacteristic
187#2489C2212yes—
188#2485C2212yes—
189#2477C2214yes—
190#2475C2214yes—
191#2469C2214yes—
192#2464C2212yes—
193#2463C2214yes—
194#2460C2214yes—
195#2453C2212yes—
196#2451C2212yes—
197#2448C2212yes—
198#2446C2212yes—
199#2445C2212yes—
200#2443C2214yes—
201#2442C2212yes—
202#2442C2212yes—
203#2441C2214yes—
204#2441C2212yes—
205#2441C2212yes—
206#2440C2212yes—
207#2440C2212yes—
208#2439C2212yes—
209#2432C2212yes—
210#2431C2212yes—
211#2431C2212yes—
212#2429C2212yes—
213#2429C2214yes—
214#2429C2212yes—
215#2429C2212yes—
216#2429C2214yes—
217#2429C2212yes—
218#2429C2212yes—
219#2429C2214yes—
220#2428C2214yes—
221#2428C2211yescharacteristic
222#2428C2212yes—
223#2428C2214yes—
224#2427C2212yes—
225#2427C2211yescharacteristic
226#2426C2214yes—
227#2426C2214yes—
228#2426C2212yes—
229#2426C2212yes—
230#2426C2212yes—
231#2426C2211yescharacteristic
232#2426C2214yes—
233#2426C2212yes—
234#2426C2211yescharacteristic
235#2423C2212yes—
236#2421C2212yes—
237#2417C2212yes—
238#2417C2212yes—
239#2417C2212yes—
240#2417C2214yes—
241#2416C2212yes—
242#2416C2212yes—
243#2416C2212yes—
244#2416C2214yes—
245#2416C2212yes—
246#2415C2212yes—
247#2415C2212yes—
248#2414C2212yes—
249#2409C2212yes—
250#2409C2212yes—
251#2407C2212yes—
252#2395C2212yes—
253#2392C2212yes—
254#2392C2212yes—
255#2388C2212yes—
256#2365C2212yes—
257#2365C2211yescharacteristic
258#2363C2214yes—
259#2360C2212yes—
260#2360C2212yes—
261#2360C2212yes—
262#2360C2214yes—
263#2360C2212yes—
264#2354C2212yes—
265#2352C2212yes—
266#2352C2212yes—
267#2352C2212yes—
268#2352C2212yes—
269#2351C2212yes—
270Q8×C4⋊C4C2211yescharacteristic
271D4×C4⋊C4C2211yescharacteristic
272D4×C4⋊C4C2212yes—
273D4×C4⋊C4C2212yes—
274#2341C2212yes—
275Q8×C22⋊C4C2212yes—
276Q8×C22⋊C4C2212yes—
277#2324C2212yes—
278#2323C2212yes—
279#2316C2212yes—
280C4×C4⋊Q8C2212yes—
281C4×C4⋊Q8C2211yescharacteristic
282C4×#127C2212yes—
283C4×#127C2211yescharacteristic
284C4×#124C2212yes—
285C4×#124C2211yescharacteristic
286C4×C22⋊Q8C2212yes—
287C4×C22⋊Q8C2214yes—
288C4×C22⋊Q8C2211yescharacteristic
289C4×#121C2211yescharacteristic
290C4×#121C2214yes—
291C4×#121C2212yes—
292C4×#121C2211yescharacteristic
293C4×#121C2211yescharacteristic
294#2297C2212yes—
295#2297C2212yes—
296#2293C2212yes—
297C42×Q8C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C42×D4C2211yescharacteristic
300C42×D4C2212yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2312yes—
304C23×Q8C2312yes—
305C23×Q8C2312yes—
306#563—232no—
307#562—232no—
308#557—28no—
309#556—28no—
310#555—216no—
311#555—28no—
312#554—216no—
313#554—28no—
314#553—216no—
315#553—216no—
316#552—216no—
317D4×Q8—216no—
318D4×Q8D4116yescomplemented
319#548—216no—
320#548—216no—
321#548—48no—
322#547—28no—
323#547—28no—
324#544—216no—
325#544—216no—
326#542—232no—
327#542—216no—
328#541—216no—
329#540—216no—
330#539—232no—
331#537—216no—
332#537—48no—
333#536—216no—
334#536—216no—
335#533—28no—
336#532—28no—
337C2×C4⋊Q8—28no—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2314yes—
346C2×C4⋊Q8C2314yes—
347C2×C4⋊Q8C2311yescharacteristic
348C2×C4⋊Q8C2312yes—
349C2×#127C2311yescharacteristic
350C2×#127C2312yes—
351C2×#127C2311yescharacteristic
352#529—28no—
353#529—28no—
354#529—28no—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2314yes—
359C2×#126C2314yes—
360C2×#126C2314yes—
361C2×#126C2314yes—
362C2×#125C2312yes—
363C2×#125C2312yes—
364C2×#125C2311yescharacteristic
365C2×#125C2311yescharacteristic
366C2×#125C2311yescharacteristic
367C2×#125C2312yes—
368C2×#125C2314yes—
369C2×#125C2314yes—
370C2×#125C2314yes—
371C2×#125C2314yes—
372C2×#124C2311yescharacteristic
373C2×#124C2311yescharacteristic
374C2×#124C2311yescharacteristic
375C2×#124C2312yes—
376C2×#124C2314yes—
377C2×#124C2314yes—
378C2×#124C2312yes—
379C2×#124C2314yes—
380C2×#124C2314yes—
381C2×#124C2311yescharacteristic
382C2×#124C2314yes—
383C2×#124C2312yes—
384C2×#123C2314yes—
385C2×#123C2314yes—
386C2×#123C2314yes—
387C2×#123C2314yes—
388C2×#123C2314yes—
389C2×#123C2314yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×#123C2314yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2311yescharacteristic
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2314yes—
418C2×C22⋊Q8C2314yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2314yes—
421C2×#121C2312yes—
422C2×#121C2314yes—
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2314yes—
426C2×#121C2311yescharacteristic
427C2×#121C2311yescharacteristic
428C2×#121C2311yescharacteristic
429C2×#121C2311yescharacteristic
430C2×#121C2311yescharacteristic
431C2×#121C2311yescharacteristic
432C2×#121C2314yes—
433C2×#121C2314yes—
434C2×#121C2314yes—
435C2×#121C2311yescharacteristic
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2314yes—
440C2×#121C2314yes—
441C2×#121C2314yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2314yes—
445C2×#121C2314yes—
446C2×#121C2314yes—
447C2×#121C2311yescharacteristic
448C2×C4×Q8—48no—
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2314yes—
459C2×C4×Q8C2311yescharacteristic
460C2×C4×Q8C2312yes—
461C2×C4×Q8C2314yes—
462C2×C4×Q8C2311yescharacteristic
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2314yes—
471C2×C4×D4C2314yes—
472C2×C4×D4C2314yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2312yes—
482C2×C4×D4C2314yes—
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2312yes—
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2312yes—
488C2×#117C2312yes—
489C2×#117C2312yes—
490C2×#117C2312yes—
491C2×#117C2312yes—
492C2×#117C2312yes—
493C2×#117C2312yes—
494C2×#117C2312yes—
495C2×#117C2314yes—
496C22×C4⋊C4C2312yes—
497C22×C4⋊C4C2312yes—
498C22×C4⋊C4C2312yes—
499C22×C4⋊C4C2312yes—
500C22×C4⋊C4C2312yes—
501C22×C4⋊C4C2312yes—
502C22×C4⋊C4C2314yes—
503C22×C42C2311yescharacteristic
504C22×C42C2311yescharacteristic
505C22×C42C2314yes—
506C22×C42C2312yes—
507#400C2314yes—
508#400C2314yes—
509#400C2312yes—
510#400C2314yes—
511#400C2314yes—
512#399C2314yes—
513#399C2312yes—
514#399C2314yes—
515#399C2314yes—
516#399C2314yes—
517#398C2314yes—
518#398C2314yes—
519#398C2314yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#398C2314yes—
524#398C2314yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2314yes—
529#398C2314yes—
530#398C2314yes—
531#397C2312yes—
532#397C2314yes—
533#397C2314yes—
534#397C2312yes—
535#397C2314yes—
536#397C2312yes—
537#397C2312yes—
538#397C2312yes—
539#397C2314yes—
540#397C2314yes—
541#397C2314yes—
542#397C2314yes—
543#396C2314yes—
544#396C2314yes—
545#396C2312yes—
546#396C2314yes—
547#396C2314yes—
548#396C2314yes—
549#396C2314yes—
550#396C2314yes—
551#396C2314yes—
552#396C2314yes—
553#396C2314yes—
554#396C2314yes—
555#396C2312yes—
556#396C2314yes—
557#396C2312yes—
558#396C2312yes—
559#396C2314yes—
560#396C2314yes—
561#396C2314yes—
562#395C2314yes—
563#395C2314yes—
564#395C2312yes—
565#395C2314yes—
566#395C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2314yes—
575#394C2312yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2312yes—
581#394C2314yes—
582#394C2312yes—
583#394C2312yes—
584#394C2312yes—
585#394C2312yes—
586#394C2312yes—
587#394C2312yes—
588#394C2312yes—
589#394C2312yes—
590#394C2312yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#393C2314yes—
596#393C2312yes—
597#393C2314yes—
598#393C2314yes—
599#392C2312yes—
600#392C2314yes—
601#392C2312yes—
602#392C2314yes—
603#392C2312yes—
604#392C2312yes—
605#392C2312yes—
606#392C2314yes—
607#392C2314yes—
608#392C2314yes—
609#391C2312yes—
610#391C2314yes—
611#391C2311yescharacteristic
612#391C2312yes—
613#391C2311yescharacteristic
614#391C2312yes—
615#391C2314yes—
616#391C2312yes—
617#391C2312yes—
618#391C2314yes—
619#391C2314yes—
620#391C2312yes—
621#391C2312yes—
622#391C2312yes—
623#391C2312yes—
624#391C2312yes—
625#391C2312yes—
626#391C2312yes—
627#390C2311yescharacteristic
628#390C2312yes—
629#390C2312yes—
630#390C2312yes—
631#390C2312yes—
632#390C2311yescharacteristic
633#390C2312yes—
634#390C2312yes—
635#390C2312yes—
636#390C2312yes—
637#390C2312yes—
638#390C2311yescharacteristic
639#390C2312yes—
640#390C2311yescharacteristic
641#390C2314yes—
642#390C2314yes—
643#390C2312yes—
644#390C2314yes—
645#390C2314yes—
646#390C2314yes—
647#390C2312yes—
648#390C2311yescharacteristic
649#390C2312yes—
650#390C2311yescharacteristic
651#390C2314yes—
652#390C2312yes—
653#390C2312yes—
654#390C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2314yes—
660#389C2312yes—
661#389C2312yes—
662#389C2311yescharacteristic
663#389C2312yes—
664#389C2314yes—
665#389C2314yes—
666#389C2312yes—
667#389C2314yes—
668#389C2312yes—
669#389C2312yes—
670#389C2314yes—
671#389C2314yes—
672#389C2314yes—
673#389C2312yes—
674#389C2314yes—
675#389C2314yes—
676#389C2314yes—
677#389C2312yes—
678#389C2314yes—
679#389C2311yescharacteristic
680#389C2314yes—
681#389C2314yes—
682#389C2314yes—
683#389C2311yescharacteristic
684#389C2311yescharacteristic
685#389C2312yes—
686#389C2312yes—
687#389C2312yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2312yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2312yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2312yes—
711#388C2312yes—
712#388C2312yes—
713#388C2312yes—
714#388C2312yes—
715#388C2312yes—
716#388C2312yes—
717#388C2312yes—
718#388C2312yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2312yes—
733#386C2314yes—
734#386C2314yes—
735#386C2312yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2312yes—
741#386C2312yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2312yes—
748#386C2312yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2312yes—
753#386C2312yes—
754#386C2312yes—
755#386C2312yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2312yes—
768#384C2311yescharacteristic
769#384C2312yes—
770#384C2311yescharacteristic
771#384C2312yes—
772#384C2312yes—
773#384C2312yes—
774#382C2312yes—
775#382C2312yes—
776#382C2314yes—
777#382C2311yescharacteristic
778#382C2312yes—
779#380C2311yescharacteristic
780#380C2311yescharacteristic
781#380C2312yes—
782#380C2312yes—
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2314yes—
789#380C2314yes—
790#380C2312yes—
791#380C2312yes—
792#380C2314yes—
793#380C2314yes—
794#380C2312yes—
795#380C2314yes—
796#380C2312yes—
797#380C2312yes—
798#380C2311yescharacteristic
799#380C2311yescharacteristic
800#380C2314yes—
801#380C2312yes—
802#380C2314yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2314yes—
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2314yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2312yes—
822C4×C22⋊C4C2311yescharacteristic
823C4×C22⋊C4C2314yes—
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2311yescharacteristic
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2314yes—
846C43C2312yes—
847C43C2311yescharacteristic
848C2×#41—28no—
849C2×#41—28no—
850C2×#41—28no—
851C2×#41—44no—
852C2×#41—44no—
853C2×#41—44no—
854C2×#41—44no—
855C2×#41—44no—
856C2×#41—44no—
857C22×Q8—28no—
858C22×Q8—44no—
859C22×Q8—44no—
860C22×Q8—44no—
861C22×Q8—44no—
862C22×Q8C2×D4116yes—
863C22×Q8C2411yescharacteristic
864C22×Q8C2412yes—
865C22×Q8C2411yescharacteristic
866C22×Q8C2412yes—
867C22×Q8C2412yes—
868C22×Q8C2412yes—
869C22×Q8C2414yes—
870C22×Q8C2414yes—
871C22×D4C2411yescharacteristic
872C22×D4C2411yescharacteristic
873C22×D4C2411yescharacteristic
874C22×D4C2412yes—
875C22×D4C2412yes—
876C22×D4C2412yes—
877C22×D4C2411yescharacteristic
878C22×D4C2411yescharacteristic
879C22×D4C2414yes—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2414yes—
888C22×D4C2414yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2414yes—
892C23×C4C2411yescharacteristic
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2411yescharacteristic
897C23×C4C2411yescharacteristic
898C23×C4C2411yescharacteristic
899C23×C4C2411yescharacteristic
900C23×C4C2412yes—
901C23×C4C2414yes—
902C23×C4C2414yes—
903C23×C4C2414yes—
904C23×C4C2414yes—
905C23×C4C2414yes—
906C23×C4C2411yescharacteristic
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2414yes—
910C4⋊Q8—28no—
911C4⋊Q8—216no—
912C4⋊Q8—28no—
913C4⋊Q8—216no—
914C4⋊Q8—28no—
915C4⋊Q8—28no—
916C4⋊Q8—24no—
917C4⋊Q8—24no—
918C4⋊Q8—24no—
919C4⋊Q8C2×D418yes—
920C4⋊Q8C2×D4116yes—
921#127—24no—
922#127—42no—
923#127—44no—
924#126—28no—
925#126—28no—
926#126—216no—
927#126—28no—
928#126—216no—
929#126—216no—
930#126—216no—
931#125—24no—
932#125—24no—
933#125—24no—
934#125—28no—
935#125—216no—
936#125—216no—
937#125—216no—
938#125—216no—
939#125—28no—
940#125—28no—
941#124—24no—
942#124—24no—
943#124—28no—
944#124—216no—
945#124—216no—
946#124—24no—
947#124—28no—
948#124—216no—
949#124—216no—
950#124—24no—
951#124—48no—
952#124—44no—
953#123—216no—
954#123—216no—
955#123—216no—
956#123—216no—
957#123—28no—
958#123—28no—
959#123—216no—
960#123—28no—
961#123—216no—
962#123—216no—
963C22⋊Q8—24no—
964C22⋊Q8—24no—
965C22⋊Q8—28no—
966C22⋊Q8—216no—
967C22⋊Q8—28no—
968C22⋊Q8—28no—
969C22⋊Q8—216no—
970C22⋊Q8—216no—
971C22⋊Q8—216no—
972C22⋊Q8—28no—
973C22⋊Q8—216no—
974C22⋊Q8—24no—
975C22⋊Q8—28no—
976C22⋊Q8—216no—
977C22⋊Q8—28no—
978C22⋊Q8—216no—
979C22⋊Q8—216no—
980C22⋊Q8—28no—
981C22⋊Q8—44no—
982C22⋊Q8—48no—
983C22⋊Q8—48no—
984C22⋊Q8—44no—
985C22⋊Q8—42no—
986C22⋊Q8—44no—
987C22⋊Q8—44no—
988C22⋊Q8C2×D4116yes—
989C22⋊Q8C2×D4132yes—
990#121—24no—
991#121—24no—
992#121—28no—
993#121—28no—
994#121—28no—
995#121—216no—
996#121—24no—
997#121—24no—
998#121—24no—
999#121—216no—
1000#121—28no—
1001#121—24no—
1002#121—24no—
1003#121—28no—
1004#121—216no—
1005#121—216no—
1006#121—216no—
1007#121—48no—
1008#121—48no—
1009#121—48no—
1010#121—44no—
1011#121—48no—
1012#121—48no—
1013#121—42no—
1014#121—44no—
1015#121—44no—
1016#121—48no—
1017C4×Q8—28no—
1018C4×Q8—28no—
1019C4×Q8—28no—
1020C4×Q8—28no—
1021C4×Q8—24no—
1022C4×Q8—28no—
1023C4×Q8—24no—
1024C4×Q8—28no—
1025C4×Q8—48no—
1026C4×Q8—48no—
1027C4×Q8—44no—
1028C4×Q8—44no—
1029C4×Q8—42no—
1030C4×Q8C2×D418yes—
1031C4×D4—28no—
1032C4×D4—28no—
1033C4×D4—216no—
1034C4×D4—216no—
1035C4×D4—216no—
1036C4×D4—24no—
1037C4×D4—24no—
1038C4×D4—28no—
1039C4×D4—28no—
1040C4×D4—24no—
1041C4×D4—28no—
1042C4×D4—24no—
1043C4×D4—24no—
1044C4×D4—28no—
1045C4×D4—42no—
1046C4×D4—44no—
1047C4×D4—48no—
1048C4×D4—44no—
1049C4×D4—44no—
1050C4×D4—44no—
1051C4×D4—42no—
1052C4×D4—44no—
1053C4×D4—42no—
1054C4×D4C2×D418yes—
1055C4×D4C2×D4116yes—
1056#117—28no—
1057#117—28no—
1058#117—28no—
1059#117—216no—
1060#117—28no—
1061#117—28no—
1062#117—28no—
1063#117—28no—
1064C2×C4⋊C4—28no—
1065C2×C4⋊C4—28no—
1066C2×C4⋊C4—28no—
1067C2×C4⋊C4—28no—
1068C2×C4⋊C4—28no—
1069C2×C4⋊C4—28no—
1070C2×C4⋊C4—48no—
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2411yescharacteristic
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2411yescharacteristic
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2411yescharacteristic
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2411yescharacteristic
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2411yescharacteristic
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2412yes—
1209C2×C42—24no—
1210C2×C42—24no—
1211C2×C42—44no—
1212C2×C42—48no—
1213C2×C42C2414yes—
1214C2×C42C2414yes—
1215C2×C42C2411yescharacteristic
1216C2×C42C2411yescharacteristic
1217C2×C42C2411yescharacteristic
1218C2×C42C2412yes—
1219C2×C42C2414yes—
1220C2×C42C2411yescharacteristic
1221C2×C42C2412yes—
1222C2×C42C2411yescharacteristic
1223C2×C42C2414yes—
1224C2×C42C2412yes—
1225C2×C42C2414yes—
1226C2×C42C2411yescharacteristic
1227C2×C42C2411yescharacteristic
1228C2×C42C2412yes—
1229C2×C42C2411yescharacteristic
1230C2×C42C2411yescharacteristic
1231C2×C42C2411yescharacteristic
1232C2×C42C2414yes—
1233C2×C42C2412yes—
1234C2×C42C2412yes—
1235C2×C42C2414yes—
1236C2×C42C2412yes—
1237C2×C42C2412yes—
1238C2×C42C2412yes—
1239C2×C42C2411yescharacteristic
1240C2×C42C2412yes—
1241C2×C42C2411yescharacteristic
1242C2×C42C2411yescharacteristic
1243#95C2412yes—
1244#95C2414yes—
1245#95C2411yescharacteristic
1246#95C2414yes—
1247#95C2412yes—
1248#95C2414yes—
1249#95C2412yes—
1250#95C2414yes—
1251#95C2412yes—
1252#95C2411yescharacteristic
1253#95C2411yescharacteristic
1254#95C2411yescharacteristic
1255#95C2411yescharacteristic
1256#95C2411yescharacteristic
1257#95C2414yes—
1258#95C2412yes—
1259#95C2414yes—
1260#95C2412yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2412yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2414yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2414yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2412yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291C24C2512yes—
1292C24C2512yes—
1293C24C2512yes—
1294C24C2511yescharacteristic
1295C24C2512yes—
1296C24C2511yescharacteristic
1297#41—816no—
1298#41—816no—
1299#41—816no—
1300C2×Q8—22no—
1301C2×Q8—24no—
1302C2×Q8—24no—
1303C2×Q8—28no—
1304C2×Q8—24no—
1305C2×Q8—22no—
1306C2×Q8—24no—
1307C2×Q8—24no—
1308C2×Q8—22no—
1309C2×Q8—22no—
1310C2×Q8—24no—
1311C2×Q8—22no—
1312C2×Q8—24no—
1313C2×Q8—44no—
1314C2×Q8—44no—
1315C2×Q8—42no—
1316C2×Q8—44no—
1317C2×Q8—42no—
1318C2×Q8—44no—
1319C2×Q8—42no—
1320C2×Q8—42no—
1321C2×Q8—432no—
1322C2×Q8—816no—
1323C2×Q8C22×D418yes—
1324C2×Q8C22×D414yes—
1325C2×Q8C22×D4116yes—
1326C2×D4—24no—
1327C2×D4—22no—
1328C2×D4—24no—
1329C2×D4—24no—
1330C2×D4—24no—
1331C2×D4—28no—
1332C2×D4—24no—
1333C2×D4—24no—
1334C2×D4—28no—
1335C2×D4—24no—
1336C2×D4—24no—
1337C2×D4—24no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—24no—
1342C2×D4—28no—
1343C2×D4—24no—
1344C2×D4—24no—
1345C2×D4—22no—
1346C2×D4—22no—
1347C2×D4—24no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—24no—
1352C2×D4—22no—
1353C2×D4—22no—
1354C2×D4—22no—
1355C2×D4—22no—
1356C2×D4—41no—
1357C2×D4—42no—
1358C2×D4—42no—
1359C2×D4—42no—
1360C2×D4—42no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—44no—
1366C2×D4—42no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—42no—
1375C2×D4—42no—
1376C2×D4—42no—
1377C2×D4—42no—
1378C2×D4—42no—
1379C2×D4—44no—
1380C2×D4—42no—
1381C2×D4—44no—
1382C2×D4—42no—
1383C2×D4—44no—
1384C2×D4—42no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4C22×D414yes—
1389C22×C4—24no—
1390C22×C4—24no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—22no—
1401C22×C4—24no—
1402C22×C4—22no—
1403C22×C4—24no—
1404C22×C4—22no—
1405C22×C4—24no—
1406C22×C4—24no—
1407C22×C4—22no—
1408C22×C4—22no—
1409C22×C4—24no—
1410C22×C4—24no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—24no—
1415C22×C4—22no—
1416C22×C4—28no—
1417C22×C4—28no—
1418C22×C4—28no—
1419C22×C4—28no—
1420C22×C4—28no—
1421C22×C4—42no—
1422C22×C4—44no—
1423C22×C4—42no—
1424C22×C4—41no—
1425C22×C4—44no—
1426C22×C4—42no—
1427C22×C4—44no—
1428C22×C4—44no—
1429C22×C4—44no—
1430C22×C4—41no—
1431C22×C4—42no—
1432C22×C4—44no—
1433C22×C4—44no—
1434C22×C4—44no—
1435C22×C4—42no—
1436C22×C4—44no—
1437C22×C4—41no—
1438C22×C4—44no—
1439C22×C4—44no—
1440C22×C4—44no—
1441C22×C4C22×D418yes—
1442C22×C4C22×D4116yes—
1443C22×C4C2511yescharacteristic
1444C22×C4C2512yes—
1445C22×C4C2512yes—
1446C22×C4C2511yescharacteristic
1447C22×C4C2512yes—
1448C22×C4C2514yes—
1449C22×C4C2514yes—
1450C22×C4C2511yescharacteristic
1451C22×C4C2511yescharacteristic
1452C22×C4C2512yes—
1453C22×C4C2512yes—
1454C22×C4C2511yescharacteristic
1455C22×C4C2512yes—
1456C22×C4C2511yescharacteristic
1457C22×C4C2511yescharacteristic
1458C22×C4C2514yes—
1459C22×C4C2512yes—
1460C22×C4C2512yes—
1461C22×C4C2511yescharacteristic
1462C22×C4C2511yescharacteristic
1463C22×C4C2512yes—
1464C22×C4C2514yes—
1465C22×C4C2512yes—
1466C22×C4C2512yes—
1467C22×C4C2512yes—
1468C22×C4C2511yescharacteristic
1469C22×C4C2511yescharacteristic
1470C22×C4C2511yescharacteristic
1471C22×C4C2511yescharacteristic
1472C4⋊C4—22no—
1473C4⋊C4—24no—
1474C4⋊C4—24no—
1475C4⋊C4—28no—
1476C4⋊C4—28no—
1477C4⋊C4—28no—
1478C4⋊C4—28no—
1479C4⋊C4—28no—
1480C4⋊C4—24no—
1481C4⋊C4—24no—
1482C4⋊C4—22no—
1483C4⋊C4—24no—
1484C4⋊C4—22no—
1485C4⋊C4—24no—
1486C4⋊C4—24no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—24no—
1490C4⋊C4—24no—
1491C4⋊C4—22no—
1492C4⋊C4—24no—
1493C4⋊C4—28no—
1494C4⋊C4—24no—
1495C4⋊C4—28no—
1496C4⋊C4—24no—
1497C4⋊C4—28no—
1498C4⋊C4—28no—
1499C4⋊C4—28no—
1500C4⋊C4—28no—
1501C4⋊C4—28no—
1502C4⋊C4—24no—
1503C4⋊C4—28no—
1504C4⋊C4—24no—
1505C4⋊C4—24no—
1506C4⋊C4—28no—
1507C4⋊C4—28no—
1508C4⋊C4—22no—
1509C4⋊C4—24no—
1510C4⋊C4—22no—
1511C4⋊C4—22no—
1512C4⋊C4—24no—
1513C4⋊C4—22no—
1514C4⋊C4—44no—
1515C4⋊C4—44no—
1516C4⋊C4—44no—
1517C4⋊C4—41no—
1518C4⋊C4—42no—
1519C4⋊C4—42no—
1520C4⋊C4—41no—
1521C4⋊C4—42no—
1522C4⋊C4—42no—
1523C4⋊C4—42no—
1524C4⋊C4—44no—
1525C4⋊C4—44no—
1526C4⋊C4—42no—
1527C4⋊C4—44no—
1528C4⋊C4—42no—
1529C4⋊C4—44no—
1530C4⋊C4—44no—
1531C4⋊C4—42no—
1532C4⋊C4—44no—
1533C4⋊C4C22×D418yes—
1534C4⋊C4C22×D414yes—
1535C4⋊C4C22×D414yes—
1536C4⋊C4C22×D418yes—
1537C4⋊C4C22×D4116yes—
1538C4⋊C4C22×D418yes—
1539C4⋊C4H(5,𝔽2)14yes—
1540C22⋊C4—28no—
1541C22⋊C4—24no—
1542C22⋊C4—24no—
1543C22⋊C4—24no—
1544C22⋊C4—28no—
1545C22⋊C4—24no—
1546C22⋊C4—22no—
1547C22⋊C4—28no—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—28no—
1551C22⋊C4—24no—
1552C22⋊C4—28no—
1553C22⋊C4—28no—
1554C22⋊C4—24no—
1555C22⋊C4—28no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—24no—
1560C22⋊C4—24no—
1561C22⋊C4—28no—
1562C22⋊C4—24no—
1563C22⋊C4—28no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—24no—
1567C22⋊C4—24no—
1568C22⋊C4—24no—
1569C22⋊C4—28no—
1570C22⋊C4—22no—
1571C22⋊C4—22no—
1572C22⋊C4—24no—
1573C22⋊C4—24no—
1574C22⋊C4—24no—
1575C22⋊C4—24no—
1576C22⋊C4—24no—
1577C22⋊C4—42no—
1578C22⋊C4—42no—
1579C22⋊C4—42no—
1580C22⋊C4—42no—
1581C22⋊C4—42no—
1582C22⋊C4—44no—
1583C22⋊C4—42no—
1584C22⋊C4—42no—
1585C22⋊C4—44no—
1586C22⋊C4—42no—
1587C22⋊C4—42no—
1588C22⋊C4—42no—
1589C22⋊C4—42no—
1590C22⋊C4—42no—
1591C22⋊C4—41no—
1592C22⋊C4—41no—
1593C22⋊C4—41no—
1594C22⋊C4—42no—
1595C22⋊C4—42no—
1596C22⋊C4—44no—
1597C22⋊C4—42no—
1598C22⋊C4—44no—
1599C22⋊C4—44no—
1600C22⋊C4—42no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—42no—
1607C22⋊C4—44no—
1608C22⋊C4C22×D4116yes—
1609C22⋊C4C22×D418yes—
1610C42—22no—
1611C42—22no—
1612C42—22no—
1613C42—22no—
1614C42—22no—
1615C42—22no—
1616C42—28no—
1617C42—28no—
1618C42—24no—
1619C42—28no—
1620C42—28no—
1621C42—24no—
1622C42—22no—
1623C42—28no—
1624C42—24no—
1625C42—24no—
1626C42—22no—
1627C42—22no—
1628C42—44no—
1629C42—42no—
1630C42—44no—
1631C42—42no—
1632C42—42no—
1633C42—41no—
1634C42—41no—
1635C42—42no—
1636C42—42no—
1637C42C22×D414yes—
1638C42C22×D418yes—
1639C422−1+414yes—
1640C23—21no—
1641C23—21no—
1642C23—22no—
1643C23—21no—
1644C23—22no—
1645C23—22no—
1646C23—21no—
1647C23—21no—
1648C23—22no—
1649C23—22no—
1650C23—21no—
1651C23—22no—
1652C23—22no—
1653C23—22no—
1654C23—21no—
1655C23—22no—
1656C23—22no—
1657C23—22no—
1658C23—22no—
1659C23—21no—
1660C23—22no—
1661C23—21no—
1662C23—22no—
1663C23—22no—
1664C23—22no—
1665C23—21no—
1666C23—22no—
1667C23—22no—
1668C23—22no—
1669C23—22no—
1670C23—22no—
1671C23—21no—
1672C23—22no—
1673C23—21no—
1674C23—22no—
1675C23—22no—
1676C23—22no—
1677C23—22no—
1678C23—21no—
1679C23—22no—
1680C23C23×D414yes—
1681C23#58512yes—
1682C23C2611yescharacteristic
1683Q8—28no—
1684Q8—216no—
1685Q8—416no—
1686Q8—48no—
1687Q8—44no—
1688Q8—84no—
1689Q8—88no—
1690Q8—84no—
1691D4—28no—
1692D4—48no—
1693D4—44no—
1694D4—48no—
1695D4—48no—
1696D4—44no—
1697D4—44no—
1698D4—44no—
1699D4—84no—
1700D4—84no—
1701D4—84no—
1702D4—84no—
1703D4—88no—
1704D4—84no—
1705D4—88no—
1706D4—84no—
1707D4—84no—
1708D4—84no—
1709D4—88no—
1710D4—84no—
1711D4—164no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—24no—
1715C2×C4—22no—
1716C2×C4—21no—
1717C2×C4—22no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—24no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—21no—
1728C2×C4—216no—
1729C2×C4—21no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—22no—
1736C2×C4—24no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—24no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—21no—
1744C2×C4—22no—
1745C2×C4—24no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—24no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—21no—
1752C2×C4—22no—
1753C2×C4—21no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—22no—
1762C2×C4—24no—
1763C2×C4—24no—
1764C2×C4—21no—
1765C2×C4—22no—
1766C2×C4—21no—
1767C2×C4—22no—
1768C2×C4—24no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—21no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—24no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—21no—
1785C2×C4—24no—
1786C2×C4—416no—
1787C2×C4—44no—
1788C2×C4—48no—
1789C2×C4—44no—
1790C2×C4—48no—
1791C2×C4—44no—
1792C2×C4—44no—
1793C2×C4—44no—
1794C2×C4—48no—
1795C2×C4—48no—
1796C2×C4—82no—
1797C2×C4—88no—
1798C2×C4—88no—
1799C2×C4—88no—
1800C2×C4—88no—
1801C2×C4—88no—
1802C2×C4—84no—
1803C2×C4C23×D412yes—
1804C2×C4C23×D414yes—
1805C2×C4C23×D414yes—
1806C2×C4C23×D418yes—
1807C2×C4C23×D414yes—
1808C2×C4C23×D412yes—
1809C2×C4C23×D412yes—
1810C2×C4C2×H(5,𝔽2)14yes—
1811C2×C4C2×H(5,𝔽2)12yes—
1812C2×C4C2×2−1+412yes—
1813C2×C4C2×2−1+412yes—
1814C2×C4C2×2−1+412yes—
1815C2×C4#58512yes—
1816C2×C4#58512yes—
1817C22—22no—
1818C22—24no—
1819C22—22no—
1820C22—22no—
1821C22—24no—
1822C22—24no—
1823C22—42no—
1824C22—42no—
1825C22—41no—
1826C22—41no—
1827C22—42no—
1828C22—41no—
1829C22—42no—
1830C22—41no—
1831C22—42no—
1832C22—41no—
1833C22—42no—
1834C22—42no—
1835C22—41no—
1836C22—42no—
1837C22—42no—
1838C22—42no—
1839C22—42no—
1840C22—41no—
1841C22—42no—
1842C22—42no—
1843C22—42no—
1844C22—41no—
1845C22—42no—
1846C22—42no—
1847C22—42no—
1848C22—41no—
1849C22—42no—
1850C22—42no—
1851C22—42no—
1852C22—42no—
1853C22—42no—
1854C22—41no—
1855C22—42no—
1856C22—42no—
1857C22—41no—
1858C22—42no—
1859C22C24×D411yescharacteristic
1860C22C22×H(5,𝔽2)11yescharacteristic
1861C22C22×2−1+411yescharacteristic
1862C22C2×#58511yescharacteristic
1863C22C2×#58511yescharacteristic
1864C22C2×#58511yescharacteristic
1865C222−1+611yescharacteristic
1866C4—22no—
1867C4—24no—
1868C4—22no—
1869C4—24no—
1870C4—24no—
1871C4—24no—
1872C4—28no—
1873C4—22no—
1874C4—41no—
1875C4—41no—
1876C4—44no—
1877C4—42no—
1878C4—41no—
1879C4—42no—
1880C4—44no—
1881C4—42no—
1882C4—41no—
1883C4—41no—
1884C4—44no—
1885C4—41no—
1886C4—42no—
1887C4—41no—
1888C4—42no—
1889C4—42no—
1890C4—42no—
1891C4—42no—
1892C4—41no—
1893C4#349614yes—
1894C4#349714yes—
1895C2—42no—
1896C2—44no—
1897C2—82no—
1898C2—81no—
1899C2—82no—
1900C2—82no—
1901C2#6275211yescharacteristic
1902C2C2×#349611yescharacteristic
1903C2C2×#349711yescharacteristic
1904C2#6291311yescharacteristic
1905C2#6293911yescharacteristic
1906C2#6300211yescharacteristic
1907C2#6301811yescharacteristic
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×#3552C2semidirect
3. #59813C2semidirect
4. #59652C2semidirect
5. #59410C2semidirect
6. #59125C2semidirect
7. #59065C2semidirect
8. #49579C2semidirect
9. #47863C2semidirect
10. #45789C2semidirect
11. #45244C2semidirect
12. #45185C2semidirect
13. #45109C2semidirect
14. #44893C2semidirect
15. #42797C2semidirect
16. #42786C2semidirect
17. #42445C2semidirect
18. #42440C2semidirect
19. #39441C2semidirect
20. #39437C2semidirect
21. #39365C2semidirect
22. #39340C2semidirect
23. #39127C2semidirect
24. #39126C2semidirect
25. #38922C2semidirect
26. #36562C2semidirect
27. #36468C2semidirect
28. #36434C2semidirect
29. #36415C2semidirect
30. #36129C2semidirect
31. #35169C2semidirect
32. #35153C2semidirect
33. #34934C2semidirect
34. #34889C2semidirect
35. C4×D4×Q8C2semidirect
318. 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×#35522
#598132
#596522
#594102
#591252
#590652
#495792
#478632
#457892
#452442
#451852
#451092
#448932
#427972
#427862
#424452
#424402
#394412
#394372
#393652
#393402
#391272
#391262
#389222
#365622
#364682
#364342
#364152
#361292
#351692
#351532
#349342
#348892
C4×D4×Q82