Finite Group Databasebeta

← #7986703

Subgroups — #7986703

Order 512.

7525 conjugacy classes of subgroups.

The subgroup lattice has 2016 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3548C211yesmaximal, characteristic, complemented
2C2×#3547C211yesmaximal, characteristic, complemented
3#59657C212yesmaximal, complemented
4#59652C211yesmaximal, characteristic, complemented
5#59128C212yesmaximal, complemented
6#59056C211yesmaximal, characteristic, complemented
7#59052C211yesmaximal, characteristic, complemented
8#51900C214yesmaximal, complemented
9#51898C214yesmaximal, complemented
10#45786C214yesmaximal, complemented
11#45244C212yesmaximal, complemented
12#45091C212yesmaximal, complemented
13#45036C212yesmaximal, complemented
14#44941C212yesmaximal, complemented
15#42646C212yesmaximal, complemented
16#42643C212yesmaximal, complemented
17#42425C212yesmaximal, complemented
18#42421C212yesmaximal, complemented
19#39596C211yesmaximal, characteristic, complemented
20#39433C214yesmaximal, complemented
21#39426C212yesmaximal, complemented
22#39341C211yesmaximal, characteristic, complemented
23#39340C211yesmaximal, characteristic, complemented
24#39335C212yesmaximal, complemented
25#39138C211yesmaximal, characteristic, complemented
26#36465C211yesmaximal, characteristic, complemented
27#36424C212yesmaximal, complemented
28#36412C212yesmaximal, complemented
29#36150C211yesmaximal, characteristic, complemented
30#36125C211yesmaximal, characteristic, complemented
31#35171C212yesmaximal, complemented
32#35166C212yesmaximal, complemented
33#34925C211yesmaximal, characteristic, complemented
34#34919C211yesmaximal, characteristic, complemented
35C4×#554C211yesmaximal, characteristic, complemented
36#3548—216no—
37#3547—216no—
38C2×#562C2214yes—
39C2×#562C2214yes—
40C2×#555C2211yescharacteristic
41C2×#555C2212yes—
42C2×#554C2211yescharacteristic
43C2×#554C2212yes—
44C2×#554C2211yescharacteristic
45C2×#553C2212yes—
46C2×#552C2212yes—
47C2×#550C2211yescharacteristic
48C2×#550C2212yes—
49C2×#550C2211yescharacteristic
50C2×D4×Q8C2211yescharacteristic
51C2×#548C2212yes—
52C2×#548C2212yes—
53C2×#548C2212yes—
54C2×#547C2211yescharacteristic
55C2×#547C2212yes—
56C2×#547C2212yes—
57C2×#544C2212yes—
58C2×#542C2214yes—
59C2×#540C2212yes—
60C2×#540C2212yes—
61C2×#540C2212yes—
62C2×#537C2214yes—
63C2×#537C2212yes—
64C2×#537C2212yes—
65C2×#537C2212yes—
66C2×#537C2212yes—
67C2×#537C2212yes—
68C2×#536C2212yes—
69C2×#533C2211yescharacteristic
70C2×#533C2211yescharacteristic
71C2×#532C2211yescharacteristic
72C2×#532C2211yescharacteristic
73C2×#532C2211yescharacteristic
74C2×#532C2212yes—
75C2×#532C2212yes—
76C2×#529C2211yescharacteristic
77#2858C2212yes—
78#2858C2211yescharacteristic
79#2857C2211yescharacteristic
80#2856C2214yes—
81#2856C2211yescharacteristic
82#2856C2214yes—
83#2854C2214yes—
84#2850C2212yes—
85#2813C2214yes—
86#2813C2214yes—
87#2733C2214yes—
88#2732C2214yes—
89#2730C2214yes—
90#2723C2214yes—
91#2720C2214yes—
92#2720C2214yes—
93#2714C2214yes—
94#2714C2214yes—
95#2711C2214yes—
96#2696C2214yes—
97#2692C2214yes—
98#2692C2214yes—
99#2683C2214yes—
100#2682C2214yes—
101#2677C2214yes—
102#2676C2214yes—
103#2676C2214yes—
104#2676C2214yes—
105#2676C2214yes—
106#2676C2214yes—
107#2675C2214yes—
108#2675C2214yes—
109#2675C2214yes—
110#2674C2214yes—
111#2673C2214yes—
112#2673C2214yes—
113#2673C2214yes—
114#2672C2214yes—
115#2672C2214yes—
116#2672C2214yes—
117#2671C2214yes—
118#2671C2214yes—
119#2671C2214yes—
120#2661C2214yes—
121#2661C2214yes—
122#2656C2214yes—
123#2656C2214yes—
124#2628C2212yes—
125#2624C2214yes—
126#2619C2212yes—
127#2616C2212yes—
128#2615C2214yes—
129#2615C2212yes—
130#2580C2212yes—
131#2567C2212yes—
132#2560C2212yes—
133#2560C2214yes—
134#2558C2214yes—
135#2558C2212yes—
136#2556C2214yes—
137#2555C2212yes—
138#2555C2214yes—
139#2555C2214yes—
140#2555C2214yes—
141#2555C2214yes—
142#2555C2212yes—
143#2554C2214yes—
144#2552C2212yes—
145#2551C2211yescharacteristic
146#2550C2211yescharacteristic
147#2546C2211yescharacteristic
148#2545C2211yescharacteristic
149#2542C2212yes—
150#2542C2214yes—
151#2542C2212yes—
152#2542C2212yes—
153#2542C2211yescharacteristic
154#2541C2211yescharacteristic
155#2541C2212yes—
156#2541C2212yes—
157#2541C2212yes—
158#2541C2214yes—
159#2541C2212yes—
160#2541C2212yes—
161#2541C2211yescharacteristic
162#2541C2211yescharacteristic
163#2541C2211yescharacteristic
164#2541C2212yes—
165#2540C2214yes—
166#2540C2212yes—
167#2540C2214yes—
168#2540C2214yes—
169#2540C2212yes—
170#2540C2212yes—
171#2540C2211yescharacteristic
172#2540C2212yes—
173#2540C2214yes—
174#2538C2211yescharacteristic
175#2537C2211yescharacteristic
176#2537C2212yes—
177#2537C2211yescharacteristic
178#2536C2211yescharacteristic
179#2535C2212yes—
180#2519C2212yes—
181#2500C2214yes—
182#2498C2214yes—
183#2492C2212yes—
184#2491C2211yescharacteristic
185#2491C2214yes—
186#2491C2211yescharacteristic
187#2491C2211yescharacteristic
188#2491C2212yes—
189#2490C2212yes—
190#2490C2212yes—
191#2490C2212yes—
192#2489C2211yescharacteristic
193#2464C2214yes—
194#2464C2214yes—
195#2464C2214yes—
196#2464C2214yes—
197#2463C2214yes—
198#2461C2214yes—
199#2461C2214yes—
200#2461C2212yes—
201#2456C2214yes—
202#2454C2212yes—
203#2454C2212yes—
204#2452C2212yes—
205#2449C2214yes—
206#2448C2212yes—
207#2443C2214yes—
208#2441C2212yes—
209#2441C2212yes—
210#2440C2214yes—
211#2440C2212yes—
212#2434C2212yes—
213#2432C2212yes—
214#2431C2214yes—
215#2431C2212yes—
216#2431C2214yes—
217#2431C2212yes—
218#2430C2214yes—
219#2429C2211yescharacteristic
220#2429C2212yes—
221#2428C2212yes—
222#2428C2214yes—
223#2428C2212yes—
224#2428C2212yes—
225#2428C2212yes—
226#2428C2212yes—
227#2428C2211yescharacteristic
228#2428C2212yes—
229#2428C2212yes—
230#2428C2211yescharacteristic
231#2428C2214yes—
232#2428C2212yes—
233#2428C2212yes—
234#2427C2212yes—
235#2426C2214yes—
236#2426C2212yes—
237#2426C2212yes—
238#2426C2211yescharacteristic
239#2423C2214yes—
240#2422C2214yes—
241#2417C2212yes—
242#2417C2212yes—
243#2416C2212yes—
244#2416C2212yes—
245#2416C2212yes—
246#2415C2212yes—
247#2414C2212yes—
248#2414C2212yes—
249#2414C2212yes—
250#2409C2212yes—
251#2407C2212yes—
252#2407C2212yes—
253#2407C2212yes—
254#2407C2212yes—
255#2396C2212yes—
256#2392C2212yes—
257#2388C2212yes—
258#2388C2212yes—
259#2370C2212yes—
260#2369C2211yescharacteristic
261#2368C2214yes—
262#2367C2212yes—
263#2363C2212yes—
264#2363C2212yes—
265#2363C2212yes—
266#2363C2212yes—
267#2363C2212yes—
268#2361C2212yes—
269#2361C2214yes—
270#2361C2212yes—
271#2360C2212yes—
272#2360C2212yes—
273#2355C2211yescharacteristic
274#2352C2212yes—
275#2349C2212yes—
276D4×C4⋊C4C2211yescharacteristic
277#2345C2212yes—
278#2341C2212yes—
279#2324C2212yes—
280#2324C2212yes—
281C4×C4⋊Q8C2211yescharacteristic
282C4×#127C2211yescharacteristic
283C4×#127C2212yes—
284C4×#125C2212yes—
285C4×#124C2211yescharacteristic
286C4×#124C2212yes—
287C4×C22⋊Q8C2214yes—
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2212yes—
290C4×#121C2212yes—
291C4×#121C2211yescharacteristic
292C4×#121C2211yescharacteristic
293C4×#121C2211yescharacteristic
294#2297C2214yes—
295#2293C2212yes—
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C42×D4C2212yes—
300C2×C4×C4⋊C4C2212yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2312yes—
305C22×#41C2312yes—
306C22×#41C2312yes—
307C22×#41C2314yes—
308C23×Q8C2312yes—
309#562—232no—
310#562—232no—
311#555—28no—
312#555—216no—
313#554—28no—
314#554—216no—
315#554D4116yescomplemented
316#553—216no—
317#552—216no—
318#550—28no—
319#550—216no—
320#550—28no—
321D4×Q8—28no—
322#548—216no—
323#548—48no—
324#548—48no—
325#547—216no—
326#547—28no—
327#547—216no—
328#544—216no—
329#542—232no—
330#540—216no—
331#540—216no—
332#540—216no—
333#537—232no—
334#537—216no—
335#537—216no—
336#537—216no—
337#537—48no—
338#537—48no—
339#536—216no—
340#533—28no—
341#533—28no—
342#532—28no—
343#532—28no—
344#532—28no—
345#532—48no—
346#532—48no—
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2311yescharacteristic
349C2×C4⋊Q8C2314yes—
350C2×C4⋊Q8C2311yescharacteristic
351C2×C4⋊Q8C2311yescharacteristic
352C2×C4⋊Q8C2311yescharacteristic
353C2×C4⋊Q8C2311yescharacteristic
354C2×C4⋊Q8C2312yes—
355C2×C4⋊Q8C2312yes—
356C2×C4⋊Q8C2311yescharacteristic
357C2×#127C2311yescharacteristic
358C2×#127C2312yes—
359C2×#127C2311yescharacteristic
360C2×#127C2311yescharacteristic
361C2×#127C2312yes—
362C2×#127C2312yes—
363C2×#127C2311yescharacteristic
364C2×#127C2312yes—
365C2×#127C2312yes—
366C2×#127C2314yes—
367C2×#127C2314yes—
368#529—28no—
369C2×#126C2312yes—
370C2×#126C2314yes—
371C2×#125C2311yescharacteristic
372C2×#125C2312yes—
373C2×#125C2312yes—
374C2×#125C2312yes—
375C2×#125C2314yes—
376C2×#125C2312yes—
377C2×#124C2312yes—
378C2×#124C2311yescharacteristic
379C2×#124C2312yes—
380C2×#124C2314yes—
381C2×#124C2314yes—
382C2×#124C2311yescharacteristic
383C2×#124C2312yes—
384C2×#124C2312yes—
385C2×#124C2314yes—
386C2×#124C2314yes—
387C2×#124C2312yes—
388C2×#124C2314yes—
389C2×#124C2312yes—
390C2×#124C2312yes—
391C2×#124C2312yes—
392C2×#123C2314yes—
393C2×#123C2314yes—
394C2×#123C2314yes—
395C2×#123C2314yes—
396C2×#123C2312yes—
397C2×#123C2314yes—
398C2×#123C2314yes—
399C2×#123C2314yes—
400C2×#123C2314yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2311yescharacteristic
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2314yes—
418C2×C22⋊Q8C2314yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2314yes—
423C2×C22⋊Q8C2314yes—
424C2×C22⋊Q8C2314yes—
425C2×C22⋊Q8C2314yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2314yes—
428C2×#121C2311yescharacteristic
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2314yes—
432C2×#121C2314yes—
433C2×#121C2314yes—
434C2×#121C2314yes—
435C2×#121C2311yescharacteristic
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2314yes—
441C2×#121C2314yes—
442C2×#121C2311yescharacteristic
443C2×#121C2311yescharacteristic
444C2×#121C2312yes—
445C2×#121C2314yes—
446C2×#121C2314yes—
447C2×#121C2314yes—
448C2×#121C2312yes—
449C2×#121C2311yescharacteristic
450C2×#121C2311yescharacteristic
451C2×#121C2311yescharacteristic
452C2×#121C2314yes—
453C2×#121C2314yes—
454C2×#121C2314yes—
455C2×#121C2311yescharacteristic
456C2×#121C2314yes—
457C2×#121C2312yes—
458C2×#121C2312yes—
459C2×#121C2312yes—
460C2×#121C2312yes—
461C2×#121C2314yes—
462C2×#121C2312yes—
463C2×#121C2312yes—
464C2×#121C2312yes—
465C2×#121C2314yes—
466C2×#121C2314yes—
467C2×#121C2314yes—
468C2×#121C2314yes—
469C2×#121C2314yes—
470C2×#121C2312yes—
471C2×#121C2312yes—
472C2×#121C2312yes—
473C2×#121C2312yes—
474C2×#121C2314yes—
475C2×#121C2312yes—
476C2×#121C2312yes—
477C2×#121C2314yes—
478C2×#121C2314yes—
479C2×#121C2314yes—
480C2×#121C2312yes—
481C2×#121C2314yes—
482C2×#121C2314yes—
483C2×#121C2312yes—
484C2×#121C2314yes—
485C2×C4×Q8C2312yes—
486C2×C4×Q8C2312yes—
487C2×C4×Q8C2311yescharacteristic
488C2×C4×Q8C2312yes—
489C2×C4×Q8C2311yescharacteristic
490C2×C4×Q8C2311yescharacteristic
491C2×C4×Q8C2312yes—
492C2×C4×Q8C2311yescharacteristic
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2311yescharacteristic
497C2×C4×D4C2311yescharacteristic
498C2×C4×D4C2312yes—
499C2×C4×D4C2314yes—
500C2×C4×D4C2312yes—
501C2×C4×D4C2312yes—
502C2×C4×D4C2312yes—
503C2×C4×D4C2312yes—
504C2×C4×D4C2312yes—
505C2×C4×D4C2312yes—
506C2×C4×D4C2311yescharacteristic
507C2×C4×D4C2311yescharacteristic
508C2×C4×D4C2311yescharacteristic
509C2×C4×D4C2314yes—
510C2×C4×D4C2312yes—
511C2×C4×D4C2314yes—
512C2×C4×D4C2312yes—
513C2×C4×D4C2311yescharacteristic
514C2×C4×D4C2314yes—
515C2×C4×D4C2314yes—
516C2×C4×D4C2312yes—
517C2×C4×D4C2312yes—
518C2×C4×D4C2311yescharacteristic
519C2×C4×D4C2312yes—
520C2×C4×D4C2311yescharacteristic
521C2×C4×D4C2311yescharacteristic
522C2×C4×D4C2312yes—
523C2×#117C2312yes—
524C2×#117C2312yes—
525C2×#117C2312yes—
526C2×#117C2312yes—
527C2×#117C2312yes—
528C2×#117C2314yes—
529C22×C4⋊C4C2312yes—
530C22×C4⋊C4C2312yes—
531C22×C4⋊C4C2312yes—
532C22×C4⋊C4C2314yes—
533C22×C4⋊C4C2312yes—
534C22×C42C2312yes—
535C22×C42C2311yescharacteristic
536C22×C42C2311yescharacteristic
537C22×C42C2314yes—
538#400C2314yes—
539#400C2312yes—
540#399C2314yes—
541#399C2314yes—
542#399C2314yes—
543#399C2312yes—
544#399C2314yes—
545#399C2314yes—
546#399C2314yes—
547#399C2314yes—
548#399C2314yes—
549#399C2314yes—
550#398C2312yes—
551#398C2314yes—
552#398C2312yes—
553#398C2312yes—
554#398C2314yes—
555#398C2314yes—
556#398C2314yes—
557#397C2312yes—
558#397C2314yes—
559#397C2314yes—
560#397C2314yes—
561#396C2312yes—
562#396C2312yes—
563#396C2312yes—
564#396C2312yes—
565#396C2314yes—
566#396C2314yes—
567#396C2314yes—
568#396C2314yes—
569#396C2314yes—
570#396C2314yes—
571#396C2314yes—
572#395C2314yes—
573#395C2314yes—
574#395C2314yes—
575#395C2314yes—
576#395C2312yes—
577#395C2312yes—
578#395C2312yes—
579#394C2312yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#394C2312yes—
587#394C2314yes—
588#394C2314yes—
589#394C2312yes—
590#394C2312yes—
591#394C2312yes—
592#394C2312yes—
593#394C2312yes—
594#394C2312yes—
595#394C2312yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#393C2314yes—
606#393C2312yes—
607#393C2314yes—
608#393C2314yes—
609#393C2312yes—
610#393C2312yes—
611#392C2312yes—
612#392C2314yes—
613#392C2314yes—
614#392C2314yes—
615#392C2314yes—
616#392C2314yes—
617#392C2314yes—
618#392C2314yes—
619#392C2314yes—
620#392C2312yes—
621#392C2312yes—
622#392C2312yes—
623#392C2312yes—
624#392C2312yes—
625#392C2312yes—
626#392C2314yes—
627#392C2314yes—
628#392C2314yes—
629#392C2314yes—
630#392C2314yes—
631#392C2314yes—
632#392C2314yes—
633#392C2314yes—
634#392C2314yes—
635#392C2314yes—
636#392C2314yes—
637#392C2314yes—
638#392C2314yes—
639#392C2314yes—
640#391C2312yes—
641#391C2312yes—
642#391C2314yes—
643#391C2312yes—
644#391C2312yes—
645#391C2312yes—
646#391C2314yes—
647#391C2311yescharacteristic
648#391C2311yescharacteristic
649#390C2314yes—
650#390C2312yes—
651#390C2311yescharacteristic
652#390C2312yes—
653#390C2311yescharacteristic
654#390C2314yes—
655#390C2312yes—
656#390C2312yes—
657#390C2312yes—
658#390C2312yes—
659#390C2314yes—
660#390C2314yes—
661#390C2311yescharacteristic
662#390C2312yes—
663#390C2312yes—
664#390C2314yes—
665#390C2312yes—
666#390C2314yes—
667#390C2314yes—
668#390C2312yes—
669#390C2314yes—
670#390C2314yes—
671#390C2314yes—
672#390C2314yes—
673#390C2314yes—
674#390C2314yes—
675#390C2312yes—
676#390C2312yes—
677#390C2312yes—
678#390C2312yes—
679#390C2312yes—
680#390C2314yes—
681#390C2311yescharacteristic
682#390C2314yes—
683#390C2311yescharacteristic
684#390C2311yescharacteristic
685#390C2312yes—
686#390C2312yes—
687#390C2314yes—
688#389C2312yes—
689#389C2312yes—
690#389C2312yes—
691#389C2312yes—
692#389C2311yescharacteristic
693#389C2312yes—
694#389C2312yes—
695#389C2312yes—
696#389C2311yescharacteristic
697#389C2312yes—
698#389C2312yes—
699#389C2314yes—
700#389C2312yes—
701#389C2312yes—
702#389C2311yescharacteristic
703#389C2314yes—
704#389C2314yes—
705#389C2311yescharacteristic
706#389C2314yes—
707#389C2312yes—
708#389C2312yes—
709#388C2312yes—
710#388C2314yes—
711#388C2314yes—
712#388C2312yes—
713#388C2312yes—
714#388C2312yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2312yes—
726#388C2312yes—
727#388C2312yes—
728#388C2312yes—
729#388C2312yes—
730#388C2312yes—
731#388C2312yes—
732#388C2312yes—
733#388C2312yes—
734#388C2312yes—
735#388C2312yes—
736#387C2314yes—
737#387C2312yes—
738#387C2314yes—
739#387C2314yes—
740#387C2314yes—
741#387C2314yes—
742#387C2314yes—
743#387C2314yes—
744#386C2314yes—
745#386C2312yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2312yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2312yes—
765#386C2312yes—
766#386C2312yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2312yes—
781#384C2312yes—
782#384C2311yescharacteristic
783#384C2311yescharacteristic
784#384C2314yes—
785#384C2314yes—
786#382C2312yes—
787#382C2311yescharacteristic
788#382C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2312yes—
792#380C2314yes—
793#380C2314yes—
794#380C2312yes—
795#380C2314yes—
796#380C2312yes—
797#380C2312yes—
798#380C2311yescharacteristic
799#380C2314yes—
800#380C2311yescharacteristic
801#380C2311yescharacteristic
802#380C2312yes—
803#380C2311yescharacteristic
804C4×C4⋊C4C2314yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2314yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2314yes—
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2311yescharacteristic
826C4×C22⋊C4C2311yescharacteristic
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2311yescharacteristic
845C4×C22⋊C4C2311yescharacteristic
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2314yes—
848C2×#95C2314yes—
849C43C2312yes—
850C43C2311yescharacteristic
851C2×#41—28no—
852C2×#41—28no—
853C2×#41—28no—
854C2×#41—28no—
855C2×#41—28no—
856C2×#41—216no—
857C2×#41—28no—
858C2×#41—44no—
859C2×#41—44no—
860C2×#41—44no—
861C2×#41—44no—
862C2×#41—44no—
863C2×#41—44no—
864C2×#41—44no—
865C2×#41—44no—
866C2×#41—44no—
867C2×#41—44no—
868C2×#41—44no—
869C2×#41—48no—
870C2×#41—84no—
871C2×#41—82no—
872C22×Q8—28no—
873C22×Q8—44no—
874C22×Q8—44no—
875C22×Q8C2412yes—
876C22×Q8C2411yescharacteristic
877C22×Q8C2412yes—
878C22×Q8C2411yescharacteristic
879C22×Q8C2412yes—
880C22×Q8C2414yes—
881C22×Q8C2412yes—
882C22×Q8C2412yes—
883C22×D4C2411yescharacteristic
884C22×D4C2412yes—
885C22×D4C2411yescharacteristic
886C22×D4C2411yescharacteristic
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2411yescharacteristic
890C22×D4C2411yescharacteristic
891C22×D4C2414yes—
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2414yes—
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2414yes—
898C22×D4C2412yes—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2412yes—
904C22×D4C2412yes—
905C22×D4C2412yes—
906C22×D4C2412yes—
907C22×D4C2412yes—
908C22×D4C2414yes—
909C22×D4C2414yes—
910C22×D4C2414yes—
911C22×D4C2412yes—
912C22×D4C2414yes—
913C22×D4C2412yes—
914C22×D4C2414yes—
915C22×D4C2414yes—
916C22×D4C2414yes—
917C22×D4C2414yes—
918C23×C4C2412yes—
919C23×C4C2412yes—
920C23×C4C2411yescharacteristic
921C23×C4C2411yescharacteristic
922C23×C4C2412yes—
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C23×C4C2414yes—
926C23×C4C2412yes—
927C23×C4C2411yescharacteristic
928C23×C4C2412yes—
929C23×C4C2414yes—
930C23×C4C2414yes—
931C23×C4C2414yes—
932C23×C4C2414yes—
933C23×C4C2414yes—
934C23×C4C2414yes—
935C23×C4C2412yes—
936C23×C4C2411yescharacteristic
937C23×C4C2414yes—
938C4⋊Q8—24no—
939C4⋊Q8—24no—
940C4⋊Q8—24no—
941C4⋊Q8—24no—
942C4⋊Q8—216no—
943C4⋊Q8—24no—
944C4⋊Q8—28no—
945C4⋊Q8—44no—
946C4⋊Q8—44no—
947C4⋊Q8C2×D418yes—
948#127—24no—
949#127—24no—
950#127—28no—
951#127—24no—
952#127—28no—
953#127—44no—
954#127—42no—
955#127—44no—
956#127—44no—
957#127—84no—
958#127—84no—
959#126—28no—
960#126—216no—
961#125—24no—
962#125—28no—
963#125—28no—
964#125—28no—
965#125—216no—
966#125C2×D4116yes—
967#124—24no—
968#124—28no—
969#124—216no—
970#124—28no—
971#124—28no—
972#124—216no—
973#124—216no—
974#124—24no—
975#124—28no—
976#124—44no—
977#124—44no—
978#124—48no—
979#124—48no—
980#124—44no—
981#124—44no—
982#123—216no—
983#123—216no—
984#123—28no—
985#123—216no—
986#123—216no—
987#123—216no—
988#123—216no—
989#123—216no—
990#123—216no—
991C22⋊Q8—24no—
992C22⋊Q8—24no—
993C22⋊Q8—28no—
994C22⋊Q8—216no—
995C22⋊Q8—28no—
996C22⋊Q8—28no—
997C22⋊Q8—28no—
998C22⋊Q8—24no—
999C22⋊Q8—216no—
1000C22⋊Q8—216no—
1001C22⋊Q8—28no—
1002C22⋊Q8—28no—
1003C22⋊Q8—216no—
1004C22⋊Q8—216no—
1005C22⋊Q8—216no—
1006C22⋊Q8—216no—
1007C22⋊Q8—24no—
1008C22⋊Q8—28no—
1009C22⋊Q8—48no—
1010C22⋊Q8—48no—
1011C22⋊Q8—48no—
1012C22⋊Q8—48no—
1013C22⋊Q8—44no—
1014C22⋊Q8—44no—
1015C22⋊Q8—44no—
1016C22⋊Q8C2×D4116yes—
1017C22⋊Q8C2×D4132yes—
1018#121—24no—
1019#121—24no—
1020#121—28no—
1021#121—216no—
1022#121—216no—
1023#121—28no—
1024#121—216no—
1025#121—216no—
1026#121—24no—
1027#121—28no—
1028#121—24no—
1029#121—28no—
1030#121—24no—
1031#121—216no—
1032#121—216no—
1033#121—28no—
1034#121—28no—
1035#121—216no—
1036#121—216no—
1037#121—28no—
1038#121—24no—
1039#121—28no—
1040#121—24no—
1041#121—28no—
1042#121—24no—
1043#121—28no—
1044#121—28no—
1045#121—216no—
1046#121—216no—
1047#121—216no—
1048#121—216no—
1049#121—216no—
1050#121—48no—
1051#121—44no—
1052#121—44no—
1053#121—48no—
1054#121—48no—
1055#121—48no—
1056#121—48no—
1057#121—44no—
1058#121—48no—
1059#121—48no—
1060#121—48no—
1061#121—48no—
1062#121—44no—
1063#121—44no—
1064#121—44no—
1065#121—44no—
1066#121—44no—
1067#121—44no—
1068#121—44no—
1069#121—48no—
1070#121—48no—
1071#121—44no—
1072#121—82no—
1073#121—84no—
1074#121—84no—
1075C4×Q8—28no—
1076C4×Q8—28no—
1077C4×Q8—24no—
1078C4×Q8—28no—
1079C4×Q8—24no—
1080C4×Q8—24no—
1081C4×Q8—82no—
1082C4×Q8C2×D418yes—
1083C4×D4—28no—
1084C4×D4—28no—
1085C4×D4—28no—
1086C4×D4—28no—
1087C4×D4—28no—
1088C4×D4—28no—
1089C4×D4—216no—
1090C4×D4—24no—
1091C4×D4—24no—
1092C4×D4—28no—
1093C4×D4—24no—
1094C4×D4—24no—
1095C4×D4—28no—
1096C4×D4—28no—
1097C4×D4—24no—
1098C4×D4—28no—
1099C4×D4—48no—
1100C4×D4—48no—
1101C4×D4—48no—
1102C4×D4—44no—
1103C4×D4—42no—
1104C4×D4—48no—
1105C4×D4—42no—
1106C4×D4—44no—
1107C4×D4—44no—
1108C4×D4—44no—
1109C4×D4—44no—
1110C4×D4—42no—
1111C4×D4C2×D418yes—
1112C4×D4C2×D4116yes—
1113#117—216no—
1114#117—28no—
1115#117—28no—
1116#117—28no—
1117#117—28no—
1118#117—28no—
1119C2×C4⋊C4—216no—
1120C2×C4⋊C4—28no—
1121C2×C4⋊C4—28no—
1122C2×C4⋊C4—28no—
1123C2×C4⋊C4C2×D4116yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2411yescharacteristic
1142C2×C4⋊C4C2411yescharacteristic
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2411yescharacteristic
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2411yescharacteristic
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2414yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2414yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2411yescharacteristic
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2414yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2414yes—
1171C2×C4⋊C4C2414yes—
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2412yes—
1174C2×C4⋊C4C2411yescharacteristic
1175C2×C4⋊C4C2411yescharacteristic
1176C2×C4⋊C4C2414yes—
1177C2×C4⋊C4C2414yes—
1178C2×C4⋊C4C2412yes—
1179C2×C4⋊C4C2412yes—
1180C2×C4⋊C4C2411yescharacteristic
1181C2×C4⋊C4C2411yescharacteristic
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2411yescharacteristic
1205C2×C22⋊C4C2411yescharacteristic
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2411yescharacteristic
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2411yescharacteristic
1234C2×C22⋊C4C2411yescharacteristic
1235C2×C22⋊C4C2411yescharacteristic
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2412yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2412yes—
1253C2×C22⋊C4C2412yes—
1254C2×C22⋊C4C2412yes—
1255C2×C22⋊C4C2414yes—
1256C2×C42—24no—
1257C2×C42—24no—
1258C2×C42—28no—
1259C2×C42—84no—
1260C2×C42C2414yes—
1261C2×C42C2414yes—
1262C2×C42C2411yescharacteristic
1263C2×C42C2412yes—
1264C2×C42C2411yescharacteristic
1265C2×C42C2411yescharacteristic
1266C2×C42C2411yescharacteristic
1267C2×C42C2411yescharacteristic
1268C2×C42C2412yes—
1269C2×C42C2412yes—
1270C2×C42C2412yes—
1271C2×C42C2412yes—
1272C2×C42C2412yes—
1273C2×C42C2412yes—
1274C2×C42C2411yescharacteristic
1275C2×C42C2411yescharacteristic
1276C2×C42C2411yescharacteristic
1277C2×C42C2411yescharacteristic
1278C2×C42C2411yescharacteristic
1279C2×C42C2411yescharacteristic
1280C2×C42C2414yes—
1281C2×C42C2412yes—
1282C2×C42C2414yes—
1283C2×C42C2414yes—
1284C2×C42C2412yes—
1285C2×C42C2412yes—
1286C2×C42C2411yescharacteristic
1287C2×C42C2411yescharacteristic
1288#95C2412yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2411yescharacteristic
1293#95C2412yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2411yescharacteristic
1298#95C2411yescharacteristic
1299#95C2412yes—
1300#95C2412yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2412yes—
1305#95C2411yescharacteristic
1306#95C2411yescharacteristic
1307#95C2411yescharacteristic
1308#95C2414yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2412yes—
1312#95C2414yes—
1313#95C2412yes—
1314#95C2412yes—
1315#95C2412yes—
1316#95C2412yes—
1317#95C2412yes—
1318#95C2414yes—
1319#95C2412yes—
1320#95C2412yes—
1321#95C2412yes—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2412yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2414yes—
1328C24C2511yescharacteristic
1329C24C2512yes—
1330C24C2512yes—
1331C24C2512yes—
1332C24C2514yes—
1333C24C2511yescharacteristic
1334C24C2512yes—
1335#41—816no—
1336#41—816no—
1337#41—816no—
1338#41—816no—
1339#41—816no—
1340#41—832no—
1341#41—816no—
1342C2×Q8—24no—
1343C2×Q8—24no—
1344C2×Q8—22no—
1345C2×Q8—24no—
1346C2×Q8—28no—
1347C2×Q8—24no—
1348C2×Q8—22no—
1349C2×Q8—22no—
1350C2×Q8—22no—
1351C2×Q8—24no—
1352C2×Q8—24no—
1353C2×Q8—22no—
1354C2×Q8—24no—
1355C2×Q8—42no—
1356C2×Q8—42no—
1357C2×Q8—42no—
1358C2×Q8—42no—
1359C2×Q8—42no—
1360C2×Q8—44no—
1361C2×Q8—44no—
1362C2×Q8—42no—
1363C2×Q8—42no—
1364C2×Q8—816no—
1365C2×Q8C22×D414yes—
1366C2×Q8C22×D418yes—
1367C2×D4—24no—
1368C2×D4—24no—
1369C2×D4—24no—
1370C2×D4—28no—
1371C2×D4—28no—
1372C2×D4—28no—
1373C2×D4—24no—
1374C2×D4—24no—
1375C2×D4—24no—
1376C2×D4—22no—
1377C2×D4—24no—
1378C2×D4—22no—
1379C2×D4—22no—
1380C2×D4—24no—
1381C2×D4—24no—
1382C2×D4—28no—
1383C2×D4—28no—
1384C2×D4—24no—
1385C2×D4—24no—
1386C2×D4—28no—
1387C2×D4—28no—
1388C2×D4—24no—
1389C2×D4—22no—
1390C2×D4—22no—
1391C2×D4—24no—
1392C2×D4—24no—
1393C2×D4—22no—
1394C2×D4—24no—
1395C2×D4—28no—
1396C2×D4—24no—
1397C2×D4—22no—
1398C2×D4—22no—
1399C2×D4—24no—
1400C2×D4—22no—
1401C2×D4—24no—
1402C2×D4—28no—
1403C2×D4—24no—
1404C2×D4—22no—
1405C2×D4—24no—
1406C2×D4—22no—
1407C2×D4—24no—
1408C2×D4—22no—
1409C2×D4—41no—
1410C2×D4—41no—
1411C2×D4—42no—
1412C2×D4—42no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—42no—
1416C2×D4—42no—
1417C2×D4—44no—
1418C2×D4—42no—
1419C2×D4—42no—
1420C2×D4—42no—
1421C2×D4—42no—
1422C2×D4—44no—
1423C2×D4—42no—
1424C2×D4—44no—
1425C2×D4—42no—
1426C2×D4—44no—
1427C2×D4—42no—
1428C2×D4—42no—
1429C2×D4—44no—
1430C2×D4—42no—
1431C2×D4—42no—
1432C2×D4—42no—
1433C2×D4—44no—
1434C2×D4—44no—
1435C2×D4—42no—
1436C2×D4—44no—
1437C2×D4—44no—
1438C2×D4—44no—
1439C2×D4—42no—
1440C2×D4—44no—
1441C2×D4—42no—
1442C2×D4—42no—
1443C2×D4—44no—
1444C2×D4—44no—
1445C2×D4—42no—
1446C2×D4—44no—
1447C2×D4—42no—
1448C2×D4—42no—
1449C2×D4—42no—
1450C2×D4—44no—
1451C2×D4—42no—
1452C2×D4—42no—
1453C2×D4—44no—
1454C2×D4—42no—
1455C2×D4—44no—
1456C2×D4—42no—
1457C2×D4—42no—
1458C2×D4—42no—
1459C2×D4—44no—
1460C2×D4—44no—
1461C2×D4—42no—
1462C2×D4—44no—
1463C2×D4—44no—
1464C2×D4—44no—
1465C2×D4—44no—
1466C2×D4—44no—
1467C2×D4—44no—
1468C2×D4—44no—
1469C2×D4—44no—
1470C2×D4—44no—
1471C2×D4C22×D414yes—
1472C22×C4—24no—
1473C22×C4—24no—
1474C22×C4—22no—
1475C22×C4—22no—
1476C22×C4—22no—
1477C22×C4—22no—
1478C22×C4—22no—
1479C22×C4—24no—
1480C22×C4—28no—
1481C22×C4—24no—
1482C22×C4—24no—
1483C22×C4—24no—
1484C22×C4—22no—
1485C22×C4—22no—
1486C22×C4—24no—
1487C22×C4—24no—
1488C22×C4—24no—
1489C22×C4—24no—
1490C22×C4—22no—
1491C22×C4—22no—
1492C22×C4—24no—
1493C22×C4—24no—
1494C22×C4—22no—
1495C22×C4—22no—
1496C22×C4—22no—
1497C22×C4—24no—
1498C22×C4—22no—
1499C22×C4—22no—
1500C22×C4—28no—
1501C22×C4—22no—
1502C22×C4—28no—
1503C22×C4—28no—
1504C22×C4—28no—
1505C22×C4—28no—
1506C22×C4—28no—
1507C22×C4—24no—
1508C22×C4—28no—
1509C22×C4—42no—
1510C22×C4—44no—
1511C22×C4—44no—
1512C22×C4—44no—
1513C22×C4—41no—
1514C22×C4—44no—
1515C22×C4—44no—
1516C22×C4—44no—
1517C22×C4—44no—
1518C22×C4—44no—
1519C22×C4—44no—
1520C22×C4—44no—
1521C22×C4—44no—
1522C22×C4—42no—
1523C22×C4—41no—
1524C22×C4—44no—
1525C22×C4—44no—
1526C22×C4—42no—
1527C22×C4—41no—
1528C22×C4—44no—
1529C22×C4—44no—
1530C22×C4C22×D418yes—
1531C22×C4C22×D4116yes—
1532C22×C4C2512yes—
1533C22×C4C2511yescharacteristic
1534C22×C4C2512yes—
1535C22×C4C2514yes—
1536C22×C4C2512yes—
1537C22×C4C2511yescharacteristic
1538C22×C4C2511yescharacteristic
1539C22×C4C2511yescharacteristic
1540C22×C4C2512yes—
1541C22×C4C2511yescharacteristic
1542C22×C4C2512yes—
1543C22×C4C2511yescharacteristic
1544C22×C4C2511yescharacteristic
1545C22×C4C2514yes—
1546C22×C4C2512yes—
1547C22×C4C2512yes—
1548C22×C4C2511yescharacteristic
1549C22×C4C2512yes—
1550C22×C4C2514yes—
1551C22×C4C2512yes—
1552C22×C4C2512yes—
1553C22×C4C2511yescharacteristic
1554C22×C4C2512yes—
1555C22×C4C2511yescharacteristic
1556C22×C4C2512yes—
1557C22×C4C2511yescharacteristic
1558C22×C4C2511yescharacteristic
1559C22×C4C2511yescharacteristic
1560C4⋊C4—24no—
1561C4⋊C4—24no—
1562C4⋊C4—22no—
1563C4⋊C4—24no—
1564C4⋊C4—28no—
1565C4⋊C4—28no—
1566C4⋊C4—28no—
1567C4⋊C4—22no—
1568C4⋊C4—22no—
1569C4⋊C4—24no—
1570C4⋊C4—28no—
1571C4⋊C4—24no—
1572C4⋊C4—24no—
1573C4⋊C4—24no—
1574C4⋊C4—24no—
1575C4⋊C4—22no—
1576C4⋊C4—24no—
1577C4⋊C4—24no—
1578C4⋊C4—24no—
1579C4⋊C4—24no—
1580C4⋊C4—28no—
1581C4⋊C4—28no—
1582C4⋊C4—24no—
1583C4⋊C4—28no—
1584C4⋊C4—24no—
1585C4⋊C4—22no—
1586C4⋊C4—24no—
1587C4⋊C4—28no—
1588C4⋊C4—24no—
1589C4⋊C4—24no—
1590C4⋊C4—22no—
1591C4⋊C4—24no—
1592C4⋊C4—22no—
1593C4⋊C4—22no—
1594C4⋊C4—24no—
1595C4⋊C4—41no—
1596C4⋊C4—42no—
1597C4⋊C4—44no—
1598C4⋊C4—42no—
1599C4⋊C4—42no—
1600C4⋊C4—44no—
1601C4⋊C4—42no—
1602C4⋊C4—44no—
1603C4⋊C4—44no—
1604C4⋊C4—42no—
1605C4⋊C4—44no—
1606C4⋊C4—44no—
1607C4⋊C4—44no—
1608C4⋊C4—42no—
1609C4⋊C4C22×D414yes—
1610C4⋊C4C22×D418yes—
1611C4⋊C4C22×D4116yes—
1612C4⋊C4C22×D414yes—
1613C4⋊C4C22×D4116yes—
1614C4⋊C4C22×D418yes—
1615C4⋊C4C22×D418yes—
1616C4⋊C4H(5,𝔽2)14yes—
1617C4⋊C42−1+414yes—
1618C22⋊C4—24no—
1619C22⋊C4—28no—
1620C22⋊C4—24no—
1621C22⋊C4—24no—
1622C22⋊C4—24no—
1623C22⋊C4—24no—
1624C22⋊C4—24no—
1625C22⋊C4—28no—
1626C22⋊C4—28no—
1627C22⋊C4—28no—
1628C22⋊C4—24no—
1629C22⋊C4—24no—
1630C22⋊C4—28no—
1631C22⋊C4—28no—
1632C22⋊C4—28no—
1633C22⋊C4—28no—
1634C22⋊C4—24no—
1635C22⋊C4—28no—
1636C22⋊C4—24no—
1637C22⋊C4—28no—
1638C22⋊C4—24no—
1639C22⋊C4—24no—
1640C22⋊C4—24no—
1641C22⋊C4—24no—
1642C22⋊C4—22no—
1643C22⋊C4—22no—
1644C22⋊C4—24no—
1645C22⋊C4—24no—
1646C22⋊C4—24no—
1647C22⋊C4—28no—
1648C22⋊C4—28no—
1649C22⋊C4—24no—
1650C22⋊C4—28no—
1651C22⋊C4—24no—
1652C22⋊C4—28no—
1653C22⋊C4—24no—
1654C22⋊C4—24no—
1655C22⋊C4—24no—
1656C22⋊C4—28no—
1657C22⋊C4—22no—
1658C22⋊C4—24no—
1659C22⋊C4—24no—
1660C22⋊C4—41no—
1661C22⋊C4—42no—
1662C22⋊C4—44no—
1663C22⋊C4—42no—
1664C22⋊C4—41no—
1665C22⋊C4—42no—
1666C22⋊C4—41no—
1667C22⋊C4—42no—
1668C22⋊C4—42no—
1669C22⋊C4—42no—
1670C22⋊C4—42no—
1671C22⋊C4—42no—
1672C22⋊C4—42no—
1673C22⋊C4—44no—
1674C22⋊C4—42no—
1675C22⋊C4—44no—
1676C22⋊C4—44no—
1677C22⋊C4—44no—
1678C22⋊C4—44no—
1679C22⋊C4—44no—
1680C22⋊C4—44no—
1681C22⋊C4—44no—
1682C22⋊C4—44no—
1683C22⋊C4—44no—
1684C22⋊C4—44no—
1685C22⋊C4—44no—
1686C22⋊C4—44no—
1687C22⋊C4—42no—
1688C22⋊C4—42no—
1689C22⋊C4—42no—
1690C22⋊C4C22×D418yes—
1691C22⋊C4C22×D4116yes—
1692C42—22no—
1693C42—22no—
1694C42—22no—
1695C42—22no—
1696C42—22no—
1697C42—22no—
1698C42—28no—
1699C42—28no—
1700C42—24no—
1701C42—24no—
1702C42—24no—
1703C42—24no—
1704C42—24no—
1705C42—24no—
1706C42—22no—
1707C42—22no—
1708C42—22no—
1709C42—24no—
1710C42—42no—
1711C42—44no—
1712C42—44no—
1713C42—44no—
1714C42—41no—
1715C42—41no—
1716C42—42no—
1717C42C22×D414yes—
1718C42C22×D418yes—
1719C42H(5,𝔽2)14yes—
1720C23—22no—
1721C23—22no—
1722C23—22no—
1723C23—22no—
1724C23—22no—
1725C23—22no—
1726C23—21no—
1727C23—22no—
1728C23—22no—
1729C23—21no—
1730C23—24no—
1731C23—22no—
1732C23—22no—
1733C23—24no—
1734C23—21no—
1735C23—22no—
1736C23—22no—
1737C23—24no—
1738C23—21no—
1739C23—21no—
1740C23—22no—
1741C23—22no—
1742C23—21no—
1743C23—22no—
1744C23—22no—
1745C23—22no—
1746C23—24no—
1747C23—21no—
1748C23—22no—
1749C23—21no—
1750C23—21no—
1751C23—22no—
1752C23—22no—
1753C23—21no—
1754C23—24no—
1755C23—22no—
1756C23—21no—
1757C23—21no—
1758C23—22no—
1759C23—22no—
1760C23—24no—
1761C23—22no—
1762C23—22no—
1763C23—24no—
1764C23—22no—
1765C23—22no—
1766C23—21no—
1767C23—21no—
1768C23C23×D414yes—
1769C23C2611yescharacteristic
1770Q8—28no—
1771Q8—48no—
1772Q8—48no—
1773Q8—48no—
1774Q8—44no—
1775Q8—88no—
1776Q8—84no—
1777Q8—84no—
1778D4—28no—
1779D4—48no—
1780D4—44no—
1781D4—44no—
1782D4—48no—
1783D4—44no—
1784D4—44no—
1785D4—48no—
1786D4—88no—
1787D4—84no—
1788D4—84no—
1789D4—88no—
1790D4—84no—
1791D4—88no—
1792D4—84no—
1793D4—84no—
1794D4—88no—
1795D4—88no—
1796D4—84no—
1797D4—84no—
1798D4—84no—
1799D4—88no—
1800D4—84no—
1801D4—88no—
1802D4—84no—
1803D4—84no—
1804D4—84no—
1805D4—84no—
1806D4—88no—
1807D4—88no—
1808D4—88no—
1809D4—88no—
1810D4—84no—
1811D4—164no—
1812D4—164no—
1813C2×C4—21no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—22no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—22no—
1825C2×C4—24no—
1826C2×C4—21no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—24no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—216no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—22no—
1837C2×C4—21no—
1838C2×C4—22no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—24no—
1844C2×C4—22no—
1845C2×C4—21no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—21no—
1849C2×C4—22no—
1850C2×C4—24no—
1851C2×C4—21no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—24no—
1855C2×C4—21no—
1856C2×C4—21no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—24no—
1860C2×C4—21no—
1861C2×C4—22no—
1862C2×C4—21no—
1863C2×C4—21no—
1864C2×C4—21no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—21no—
1868C2×C4—21no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—21no—
1872C2×C4—22no—
1873C2×C4—21no—
1874C2×C4—22no—
1875C2×C4—24no—
1876C2×C4—21no—
1877C2×C4—22no—
1878C2×C4—24no—
1879C2×C4—21no—
1880C2×C4—21no—
1881C2×C4—22no—
1882C2×C4—416no—
1883C2×C4—48no—
1884C2×C4—416no—
1885C2×C4—44no—
1886C2×C4—44no—
1887C2×C4—44no—
1888C2×C4—48no—
1889C2×C4—48no—
1890C2×C4—48no—
1891C2×C4—44no—
1892C2×C4—44no—
1893C2×C4—82no—
1894C2×C4—84no—
1895C2×C4—88no—
1896C2×C4—88no—
1897C2×C4—88no—
1898C2×C4—88no—
1899C2×C4—88no—
1900C2×C4—88no—
1901C2×C4C23×D412yes—
1902C2×C4C23×D418yes—
1903C2×C4C23×D414yes—
1904C2×C4C23×D414yes—
1905C2×C4C23×D414yes—
1906C2×C4C23×D412yes—
1907C2×C4C23×D412yes—
1908C2×C4C2×H(5,𝔽2)12yes—
1909C2×C4C2×H(5,𝔽2)12yes—
1910C2×C4C2×H(5,𝔽2)14yes—
1911C2×C4C2×H(5,𝔽2)12yes—
1912C2×C4C2×H(5,𝔽2)12yes—
1913C2×C4C2×2−1+414yes—
1914C2×C4C2×2−1+412yes—
1915C2×C4#58512yes—
1916C2×C4#58512yes—
1917C22—24no—
1918C22—24no—
1919C22—24no—
1920C22—42no—
1921C22—42no—
1922C22—42no—
1923C22—42no—
1924C22—41no—
1925C22—44no—
1926C22—42no—
1927C22—41no—
1928C22—42no—
1929C22—42no—
1930C22—41no—
1931C22—41no—
1932C22—42no—
1933C22—44no—
1934C22—42no—
1935C22—42no—
1936C22—41no—
1937C22—42no—
1938C22—41no—
1939C22—42no—
1940C22—44no—
1941C22—42no—
1942C22—42no—
1943C22—41no—
1944C22—44no—
1945C22—42no—
1946C22—41no—
1947C22—42no—
1948C22—42no—
1949C22—42no—
1950C22—41no—
1951C22—41no—
1952C22—44no—
1953C22—42no—
1954C22—42no—
1955C22—41no—
1956C22—42no—
1957C22—42no—
1958C22—44no—
1959C22—41no—
1960C22—42no—
1961C22—41no—
1962C22—41no—
1963C22—44no—
1964C22—42no—
1965C22—42no—
1966C22C24×D411yescharacteristic
1967C22C22×H(5,𝔽2)11yescharacteristic
1968C22C22×H(5,𝔽2)11yescharacteristic
1969C22C22×2−1+411yescharacteristic
1970C22C2×#58511yescharacteristic
1971C22C2×#58511yescharacteristic
1972C22H(7,𝔽2)11yescharacteristic
1973C4—22no—
1974C4—28no—
1975C4—24no—
1976C4—22no—
1977C4—22no—
1978C4—24no—
1979C4—24no—
1980C4—24no—
1981C4—22no—
1982C4—24no—
1983C4—42no—
1984C4—41no—
1985C4—42no—
1986C4—42no—
1987C4—41no—
1988C4—41no—
1989C4—42no—
1990C4—41no—
1991C4—42no—
1992C4—41no—
1993C4—41no—
1994C4—42no—
1995C4—42no—
1996C4—44no—
1997C4—44no—
1998C4—41no—
1999C4#349714yes—
2000C4#349814yes—
2001C2—44no—
2002C2—81no—
2003C2—84no—
2004C2—82no—
2005C2—81no—
2006C2—82no—
2007C2—82no—
2008C2#6275911yescharacteristic
2009C2C2×#349711yescharacteristic
2010C2C2×#349811yescharacteristic
2011C2#6292011yescharacteristic
2012C2#6294411yescharacteristic
2013C2#6298711yescharacteristic
2014C2#6303911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#3548C2semidirect
2. C2×#3547C2semidirect
3. #59657C2semidirect
4. #59652C2semidirect
5. #59128C2semidirect
6. #59056C2semidirect
7. #59052C2semidirect
8. #51900C2semidirect
9. #51898C2semidirect
10. #45786C2semidirect
11. #45244C2semidirect
12. #45091C2semidirect
13. #45036C2semidirect
14. #44941C2semidirect
15. #42646C2semidirect
16. #42643C2semidirect
17. #42425C2semidirect
18. #42421C2semidirect
19. #39596C2semidirect
20. #39433C2semidirect
21. #39426C2semidirect
22. #39341C2semidirect
23. #39340C2semidirect
24. #39335C2semidirect
25. #39138C2semidirect
26. #36465C2semidirect
27. #36424C2semidirect
28. #36412C2semidirect
29. #36150C2semidirect
30. #36125C2semidirect
31. #35171C2semidirect
32. #35166C2semidirect
33. #34925C2semidirect
34. #34919C2semidirect
35. C4×#554C2semidirect
315. #554D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35482
C2×#35472
#596572
#596522
#591282
#590562
#590522
#519002
#518982
#457862
#452442
#450912
#450362
#449412
#426462
#426432
#424252
#424212
#395962
#394332
#394262
#393412
#393402
#393352
#391382
#364652
#364242
#364122
#361502
#361252
#351712
#351662
#349252
#349192
C4×#5542