Finite Group Databasebeta

← #7986115

Subgroups — #7986115

Order 512.

7085 conjugacy classes of subgroups.

The subgroup lattice has 1932 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3547C211yesmaximal, characteristic, complemented
2C2×#3554C211yesmaximal, characteristic, complemented
3#59652C212yesmaximal, complemented
4#59550C212yesmaximal, complemented
5#59418C211yesmaximal, characteristic, complemented
6#59067C211yesmaximal, characteristic, complemented
7#59051C211yesmaximal, characteristic, complemented
8#49580C214yesmaximal, complemented
9#47868C214yesmaximal, complemented
10#45786C214yesmaximal, complemented
11#45110C212yesmaximal, complemented
12#45016C212yesmaximal, complemented
13#44897C212yesmaximal, complemented
14#44884C212yesmaximal, complemented
15#42797C212yesmaximal, complemented
16#42796C212yesmaximal, complemented
17#42445C212yesmaximal, complemented
18#42444C212yesmaximal, complemented
19#39598C211yesmaximal, characteristic, complemented
20#39433C212yesmaximal, complemented
21#39424C212yesmaximal, complemented
22#39393C214yesmaximal, complemented
23#39341C211yesmaximal, characteristic, complemented
24#39137C211yesmaximal, characteristic, complemented
25#38922C211yesmaximal, characteristic, complemented
26#36576C212yesmaximal, complemented
27#36496C211yesmaximal, characteristic, complemented
28#36471C212yesmaximal, complemented
29#36412C211yesmaximal, characteristic, complemented
30#36150C211yesmaximal, characteristic, complemented
31#35171C212yesmaximal, complemented
32#35153C212yesmaximal, complemented
33#34919C211yesmaximal, characteristic, complemented
34#34889C211yesmaximal, characteristic, complemented
35C4×D4×Q8C211yesmaximal, characteristic, complemented
36#3554—216no—
37#3547—216no—
38C2×#562C2214yes—
39C2×#562C2214yes—
40C2×#559C2212yes—
41C2×#559C2211yescharacteristic
42C2×#557C2211yescharacteristic
43C2×#555C2212yes—
44C2×#555C2211yescharacteristic
45C2×#554C2212yes—
46C2×#554C2211yescharacteristic
47C2×#553C2212yes—
48C2×#552C2212yes—
49C2×#550C2211yescharacteristic
50C2×#550C2212yes—
51C2×D4×Q8C2211yescharacteristic
52C2×#548C2212yes—
53C2×#548C2212yes—
54C2×#547C2211yescharacteristic
55C2×#547C2212yes—
56C2×#544C2212yes—
57C2×#542C2212yes—
58C2×#542C2212yes—
59C2×#542C2214yes—
60C2×#540C2212yes—
61C2×#540C2212yes—
62C2×#539C2214yes—
63C2×#537C2212yes—
64C2×#537C2212yes—
65C2×#536C2212yes—
66C2×#536C2212yes—
67C2×#533C2211yescharacteristic
68C2×#533C2211yescharacteristic
69C2×#532C2211yescharacteristic
70C2×#532C2211yescharacteristic
71C2×#529C2211yescharacteristic
72C2×#529C2211yescharacteristic
73C22×C4×Q8C2212yes—
74#2861C2212yes—
75#2858C2211yescharacteristic
76#2857C2211yescharacteristic
77#2856C2212yes—
78#2856C2211yescharacteristic
79#2856C2214yes—
80#2854C2214yes—
81#2854C2214yes—
82#2813C2214yes—
83#2813C2214yes—
84#2733C2214yes—
85#2732C2214yes—
86#2731C2214yes—
87#2730C2214yes—
88#2730C2214yes—
89#2730C2214yes—
90#2729C2214yes—
91#2728C2214yes—
92#2725C2214yes—
93#2720C2214yes—
94#2720C2214yes—
95#2715C2214yes—
96#2714C2214yes—
97#2707C2214yes—
98#2705C2214yes—
99#2704C2214yes—
100#2695C2214yes—
101#2693C2214yes—
102#2692C2214yes—
103#2691C2214yes—
104#2683C2214yes—
105#2682C2214yes—
106#2681C2214yes—
107#2676C2214yes—
108#2676C2214yes—
109#2675C2214yes—
110#2675C2214yes—
111#2673C2214yes—
112#2673C2214yes—
113#2672C2214yes—
114#2672C2214yes—
115#2671C2214yes—
116#2671C2214yes—
117#2661C2214yes—
118#2661C2214yes—
119#2630C2214yes—
120#2630C2214yes—
121#2629C2212yes—
122#2624C2212yes—
123#2620C2212yes—
124#2618C2214yes—
125#2618C2214yes—
126#2615C2212yes—
127#2602C2214yes—
128#2602C2214yes—
129#2584C2212yes—
130#2567C2211yescharacteristic
131#2567C2211yescharacteristic
132#2566C2212yes—
133#2560C2214yes—
134#2560C2212yes—
135#2559C2212yes—
136#2558C2214yes—
137#2558C2214yes—
138#2558C2212yes—
139#2557C2212yes—
140#2555C2214yes—
141#2555C2214yes—
142#2555C2214yes—
143#2553C2214yes—
144#2552C2212yes—
145#2550C2211yescharacteristic
146#2550C2211yescharacteristic
147#2548C2212yes—
148#2548C2214yes—
149#2545C2211yescharacteristic
150#2544C2211yescharacteristic
151#2544C2212yes—
152#2541C2211yescharacteristic
153#2541C2212yes—
154#2541C2212yes—
155#2541C2211yescharacteristic
156#2540C2214yes—
157#2540C2212yes—
158#2540C2211yescharacteristic
159#2540C2211yescharacteristic
160#2540C2212yes—
161#2538C2212yes—
162#2538C2211yescharacteristic
163#2538C2211yescharacteristic
164#2538C2212yes—
165#2538C2214yes—
166#2537C2212yes—
167#2537C2212yes—
168#2536C2211yescharacteristic
169#2535C2211yescharacteristic
170#2521C2212yes—
171#2521C2214yes—
172#2519C2212yes—
173#2500C2212yes—
174#2492C2211yescharacteristic
175#2491C2211yescharacteristic
176#2490C2212yes—
177#2490C2211yescharacteristic
178#2490C2212yes—
179#2489C2211yescharacteristic
180#2485C2212yes—
181#2479C2214yes—
182#2473C2214yes—
183#2471C2214yes—
184#2464C2214yes—
185#2464C2212yes—
186#2464C2214yes—
187#2464C2214yes—
188#2462C2214yes—
189#2461C2212yes—
190#2461C2214yes—
191#2461C2214yes—
192#2456C2214yes—
193#2454C2212yes—
194#2454C2212yes—
195#2453C2212yes—
196#2452C2212yes—
197#2449C2214yes—
198#2448C2212yes—
199#2446C2212yes—
200#2442C2212yes—
201#2441C2212yes—
202#2441C2212yes—
203#2440C2212yes—
204#2432C2212yes—
205#2431C2212yes—
206#2431C2212yes—
207#2429C2214yes—
208#2429C2212yes—
209#2429C2212yes—
210#2429C2214yes—
211#2429C2211yescharacteristic
212#2429C2212yes—
213#2428C2212yes—
214#2428C2212yes—
215#2428C2212yes—
216#2428C2212yes—
217#2428C2212yes—
218#2428C2211yescharacteristic
219#2428C2214yes—
220#2428C2212yes—
221#2427C2212yes—
222#2427C2212yes—
223#2427C2211yescharacteristic
224#2426C2214yes—
225#2426C2214yes—
226#2426C2214yes—
227#2426C2212yes—
228#2426C2212yes—
229#2426C2212yes—
230#2426C2212yes—
231#2426C2212yes—
232#2426C2214yes—
233#2426C2212yes—
234#2426C2212yes—
235#2426C2211yescharacteristic
236#2423C2212yes—
237#2422C2214yes—
238#2421C2212yes—
239#2417C2212yes—
240#2416C2212yes—
241#2416C2214yes—
242#2416C2212yes—
243#2416C2214yes—
244#2416C2212yes—
245#2416C2214yes—
246#2415C2212yes—
247#2415C2214yes—
248#2414C2212yes—
249#2407C2212yes—
250#2407C2212yes—
251#2407C2212yes—
252#2396C2212yes—
253#2395C2212yes—
254#2392C2212yes—
255#2388C2212yes—
256#2367C2212yes—
257#2365C2212yes—
258#2365C2211yescharacteristic
259#2363C2212yes—
260#2363C2212yes—
261#2363C2212yes—
262#2362C2212yes—
263#2361C2212yes—
264#2361C2212yes—
265#2361C2212yes—
266#2360C2212yes—
267#2360C2212yes—
268#2360C2214yes—
269#2352C2214yes—
270Q8×C4⋊C4C2211yescharacteristic
271Q8×C4⋊C4C2212yes—
272D4×C4⋊C4C2211yescharacteristic
273D4×C4⋊C4C2212yes—
274#2341C2212yes—
275#2341C2212yes—
276Q8×C22⋊C4C2212yes—
277#2324C2212yes—
278#2324C2212yes—
279#2316C2212yes—
280C4×C4⋊Q8C2212yes—
281C4×C4⋊Q8C2211yescharacteristic
282C4×#127C2212yes—
283C4×#124C2212yes—
284C4×#124C2211yescharacteristic
285C4×#124C2211yescharacteristic
286C4×C22⋊Q8C2212yes—
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2214yes—
290C4×#121C2211yescharacteristic
291C4×#121C2212yes—
292C4×#121C2211yescharacteristic
293C4×#121C2214yes—
294#2297C2212yes—
295#2297C2212yes—
296#2293C2212yes—
297C42×Q8C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C42×D4C2211yescharacteristic
300C42×D4C2212yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2312yes—
305C23×Q8C2312yes—
306#562—232no—
307#562—232no—
308#559—28no—
309#559—216no—
310#557—28no—
311#555—216no—
312#555—28no—
313#554—216no—
314#554—28no—
315#553—216no—
316#552—216no—
317#550—28no—
318#550—48no—
319D4×Q8D4116yescomplemented
320#548—216no—
321#548—216no—
322#547—28no—
323#547—216no—
324#544—216no—
325#542—216no—
326#542—232no—
327#542—216no—
328#540—216no—
329#540—216no—
330#539—232no—
331#537—216no—
332#537—48no—
333#536—216no—
334#536—216no—
335#533—28no—
336#533—28no—
337#532—28no—
338#532—28no—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2314yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2311yescharacteristic
346C2×C4⋊Q8C2312yes—
347C2×#127C2311yescharacteristic
348C2×#127C2311yescharacteristic
349C2×#127C2312yes—
350C2×#127C2312yes—
351C2×#127C2314yes—
352C2×#127C2312yes—
353#529—28no—
354#529—28no—
355C2×#126C2312yes—
356C2×#126C2314yes—
357C2×#126C2312yes—
358C2×#126C2314yes—
359C2×#125C2312yes—
360C2×#125C2311yescharacteristic
361C2×#125C2311yescharacteristic
362C2×#125C2312yes—
363C2×#125C2312yes—
364C2×#125C2314yes—
365C2×#125C2312yes—
366C2×#125C2314yes—
367C2×#124C2312yes—
368C2×#124C2311yescharacteristic
369C2×#124C2311yescharacteristic
370C2×#124C2314yes—
371C2×#124C2314yes—
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2314yes—
376C2×#124C2314yes—
377C2×#124C2314yes—
378C2×#124C2312yes—
379C2×#124C2311yescharacteristic
380C2×#124C2311yescharacteristic
381C2×#124C2312yes—
382C2×#124C2312yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×#123C2314yes—
386C2×#123C2314yes—
387C2×#123C2314yes—
388C2×#123C2314yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×#123C2314yes—
394C2×#123C2314yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2311yescharacteristic
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2314yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2314yes—
420C2×#121C2311yescharacteristic
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#121C2314yes—
425C2×#121C2314yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2314yes—
429C2×#121C2314yes—
430C2×#121C2311yescharacteristic
431C2×#121C2311yescharacteristic
432C2×#121C2311yescharacteristic
433C2×#121C2314yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2311yescharacteristic
437C2×#121C2311yescharacteristic
438C2×#121C2314yes—
439C2×#121C2314yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2314yes—
443C2×#121C2314yes—
444C2×#121C2312yes—
445C2×#121C2314yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2314yes—
451C2×#121C2314yes—
452C2×#121C2314yes—
453C2×#121C2314yes—
454C2×#121C2314yes—
455C2×#121C2314yes—
456C2×#121C2312yes—
457C2×#121C2314yes—
458C2×C4×Q8—48no—
459C2×C4×Q8C2311yescharacteristic
460C2×C4×Q8C2311yescharacteristic
461C2×C4×Q8C2312yes—
462C2×C4×Q8C2312yes—
463C2×C4×Q8C2312yes—
464C2×C4×Q8C2312yes—
465C2×C4×Q8C2312yes—
466C2×C4×Q8C2312yes—
467C2×C4×Q8C2311yescharacteristic
468C2×C4×Q8C2312yes—
469C2×C4×Q8C2314yes—
470C2×C4×Q8C2311yescharacteristic
471C2×C4×Q8C2312yes—
472C2×C4×Q8C2314yes—
473C2×C4×Q8C2311yescharacteristic
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2314yes—
477C2×C4×D4C2314yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2314yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2314yes—
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2312yes—
494C2×C4×D4C2311yescharacteristic
495C2×C4×D4C2312yes—
496C2×C4×D4C2311yescharacteristic
497C2×C4×D4C2314yes—
498C2×C4×D4C2311yescharacteristic
499C2×C4×D4C2312yes—
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2312yes—
503C2×#117C2312yes—
504C2×#117C2314yes—
505C2×#117C2312yes—
506C2×#117C2312yes—
507C22×C4⋊C4C2312yes—
508C22×C4⋊C4C2314yes—
509C22×C4⋊C4C2312yes—
510C22×C4⋊C4C2312yes—
511C22×C4⋊C4C2314yes—
512C22×C42C2311yescharacteristic
513C22×C42C2311yescharacteristic
514C22×C42C2314yes—
515C22×C42C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2314yes—
519#400C2314yes—
520#399C2314yes—
521#399C2312yes—
522#399C2312yes—
523#399C2314yes—
524#399C2314yes—
525#399C2314yes—
526#398C2312yes—
527#398C2314yes—
528#398C2314yes—
529#398C2314yes—
530#398C2314yes—
531#398C2314yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2314yes—
536#398C2314yes—
537#397C2314yes—
538#397C2312yes—
539#397C2312yes—
540#397C2314yes—
541#397C2312yes—
542#397C2312yes—
543#397C2314yes—
544#397C2314yes—
545#396C2314yes—
546#396C2314yes—
547#396C2312yes—
548#396C2314yes—
549#396C2314yes—
550#396C2314yes—
551#396C2314yes—
552#396C2314yes—
553#396C2314yes—
554#396C2314yes—
555#396C2314yes—
556#396C2314yes—
557#396C2312yes—
558#396C2314yes—
559#396C2312yes—
560#396C2312yes—
561#396C2314yes—
562#396C2314yes—
563#396C2314yes—
564#396C2314yes—
565#395C2314yes—
566#395C2314yes—
567#395C2314yes—
568#395C2312yes—
569#395C2312yes—
570#394C2314yes—
571#394C2312yes—
572#394C2312yes—
573#394C2314yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2312yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#394C2312yes—
587#394C2312yes—
588#394C2312yes—
589#394C2312yes—
590#394C2312yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#393C2314yes—
599#393C2312yes—
600#393C2312yes—
601#392C2314yes—
602#392C2314yes—
603#392C2314yes—
604#392C2314yes—
605#392C2314yes—
606#392C2312yes—
607#392C2312yes—
608#392C2312yes—
609#392C2312yes—
610#392C2314yes—
611#392C2314yes—
612#392C2314yes—
613#392C2314yes—
614#392C2314yes—
615#392C2314yes—
616#392C2314yes—
617#392C2314yes—
618#391C2312yes—
619#391C2312yes—
620#391C2312yes—
621#391C2314yes—
622#391C2312yes—
623#391C2312yes—
624#391C2312yes—
625#391C2314yes—
626#391C2312yes—
627#391C2311yescharacteristic
628#391C2311yescharacteristic
629#391C2311yescharacteristic
630#391C2311yescharacteristic
631#391C2312yes—
632#390C2314yes—
633#390C2312yes—
634#390C2311yescharacteristic
635#390C2314yes—
636#390C2312yes—
637#390C2314yes—
638#390C2312yes—
639#390C2312yes—
640#390C2312yes—
641#390C2314yes—
642#390C2314yes—
643#390C2312yes—
644#390C2311yescharacteristic
645#390C2312yes—
646#390C2312yes—
647#390C2314yes—
648#390C2314yes—
649#390C2312yes—
650#390C2314yes—
651#390C2314yes—
652#390C2314yes—
653#390C2314yes—
654#390C2314yes—
655#390C2312yes—
656#390C2314yes—
657#390C2312yes—
658#390C2314yes—
659#390C2312yes—
660#390C2311yescharacteristic
661#390C2312yes—
662#390C2312yes—
663#390C2312yes—
664#390C2312yes—
665#390C2311yescharacteristic
666#390C2312yes—
667#389C2312yes—
668#389C2312yes—
669#389C2312yes—
670#389C2314yes—
671#389C2312yes—
672#389C2312yes—
673#389C2312yes—
674#389C2312yes—
675#389C2312yes—
676#389C2311yescharacteristic
677#389C2312yes—
678#389C2314yes—
679#389C2314yes—
680#389C2312yes—
681#389C2311yescharacteristic
682#389C2311yescharacteristic
683#389C2314yes—
684#389C2312yes—
685#389C2314yes—
686#389C2312yes—
687#389C2312yes—
688#389C2314yes—
689#389C2314yes—
690#389C2311yescharacteristic
691#389C2312yes—
692#389C2314yes—
693#389C2314yes—
694#389C2314yes—
695#389C2312yes—
696#389C2312yes—
697#388C2312yes—
698#388C2314yes—
699#388C2312yes—
700#388C2314yes—
701#388C2312yes—
702#388C2312yes—
703#388C2314yes—
704#388C2314yes—
705#388C2312yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2312yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2312yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2312yes—
721#388C2314yes—
722#388C2312yes—
723#388C2312yes—
724#388C2312yes—
725#388C2312yes—
726#388C2312yes—
727#388C2312yes—
728#388C2312yes—
729#388C2312yes—
730#387C2314yes—
731#387C2312yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#387C2312yes—
740#386C2314yes—
741#386C2312yes—
742#386C2314yes—
743#386C2314yes—
744#386C2312yes—
745#386C2312yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2312yes—
754#386C2312yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2312yes—
761#386C2312yes—
762#386C2312yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2312yes—
776#385C2312yes—
777#384C2312yes—
778#384C2311yescharacteristic
779#384C2312yes—
780#384C2312yes—
781#384C2314yes—
782#382C2311yescharacteristic
783#382C2312yes—
784#382C2311yescharacteristic
785#380C2314yes—
786#380C2314yes—
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2314yes—
791#380C2312yes—
792#380C2312yes—
793#380C2314yes—
794#380C2314yes—
795#380C2314yes—
796#380C2314yes—
797#380C2311yescharacteristic
798#380C2311yescharacteristic
799#380C2311yescharacteristic
800#380C2312yes—
801#380C2311yescharacteristic
802C4×C4⋊C4C2314yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2314yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2312yes—
822C4×C22⋊C4C2311yescharacteristic
823C4×C22⋊C4C2314yes—
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2311yescharacteristic
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2312yes—
846C43C2312yes—
847C43C2311yescharacteristic
848C2×#41—28no—
849C2×#41—28no—
850C2×#41—28no—
851C2×#41—28no—
852C2×#41—44no—
853C2×#41—44no—
854C2×#41—44no—
855C2×#41—44no—
856C2×#41—44no—
857C2×#41—44no—
858C2×#41—44no—
859C2×#41—44no—
860C22×Q8—44no—
861C22×Q8—44no—
862C22×Q8C2×D4116yes—
863C22×Q8C2411yescharacteristic
864C22×Q8C2411yescharacteristic
865C22×Q8C2411yescharacteristic
866C22×Q8C2412yes—
867C22×Q8C2412yes—
868C22×Q8C2412yes—
869C22×Q8C2412yes—
870C22×Q8C2414yes—
871C22×D4C2411yescharacteristic
872C22×D4C2412yes—
873C22×D4C2411yescharacteristic
874C22×D4C2412yes—
875C22×D4C2411yescharacteristic
876C22×D4C2412yes—
877C22×D4C2414yes—
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2414yes—
881C22×D4C2414yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2414yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2414yes—
889C22×D4C2414yes—
890C22×D4C2414yes—
891C22×D4C2412yes—
892C22×D4C2411yescharacteristic
893C22×D4C2414yes—
894C22×D4C2414yes—
895C22×D4C2414yes—
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2411yescharacteristic
899C23×C4C2411yescharacteristic
900C23×C4C2411yescharacteristic
901C23×C4C2411yescharacteristic
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2414yes—
905C23×C4C2414yes—
906C23×C4C2414yes—
907C23×C4C2414yes—
908C23×C4C2414yes—
909C23×C4C2414yes—
910C23×C4C2411yescharacteristic
911C23×C4C2411yescharacteristic
912C23×C4C2412yes—
913C23×C4C2414yes—
914C4⋊Q8—24no—
915C4⋊Q8—216no—
916C4⋊Q8—28no—
917C4⋊Q8—24no—
918C4⋊Q8—24no—
919C4⋊Q8—24no—
920C4⋊Q8C2×D418yes—
921C4⋊Q8C2×D4116yes—
922#127—24no—
923#127—28no—
924#127—24no—
925#127—44no—
926#127—44no—
927#127—48no—
928#126—28no—
929#126—216no—
930#126—28no—
931#126—216no—
932#125—24no—
933#125—24no—
934#125—28no—
935#125—28no—
936#125—216no—
937#125—28no—
938#125—216no—
939#125—28no—
940#124—24no—
941#124—28no—
942#124—28no—
943#124—216no—
944#124—216no—
945#124—216no—
946#124—24no—
947#124—28no—
948#124—216no—
949#124—216no—
950#124—28no—
951#124—44no—
952#124—44no—
953#124—42no—
954#124—42no—
955#124—82no—
956#123—216no—
957#123—216no—
958#123—216no—
959#123—216no—
960#123—28no—
961#123—216no—
962#123—216no—
963#123—216no—
964#123—28no—
965#123—216no—
966#123—216no—
967#123—216no—
968C22⋊Q8—24no—
969C22⋊Q8—28no—
970C22⋊Q8—24no—
971C22⋊Q8—216no—
972C22⋊Q8—28no—
973C22⋊Q8—28no—
974C22⋊Q8—216no—
975C22⋊Q8—216no—
976C22⋊Q8—216no—
977C22⋊Q8—24no—
978C22⋊Q8—24no—
979C22⋊Q8—28no—
980C22⋊Q8—28no—
981C22⋊Q8—216no—
982C22⋊Q8—216no—
983C22⋊Q8—216no—
984C22⋊Q8—24no—
985C22⋊Q8—24no—
986C22⋊Q8—48no—
987C22⋊Q8—44no—
988C22⋊Q8—44no—
989C22⋊Q8—82no—
990C22⋊Q8—84no—
991C22⋊Q8C2×D4116yes—
992C22⋊Q8C2×D4132yes—
993#121—24no—
994#121—24no—
995#121—28no—
996#121—28no—
997#121—216no—
998#121—216no—
999#121—28no—
1000#121—24no—
1001#121—28no—
1002#121—24no—
1003#121—28no—
1004#121—216no—
1005#121—28no—
1006#121—28no—
1007#121—24no—
1008#121—24no—
1009#121—28no—
1010#121—28no—
1011#121—216no—
1012#121—216no—
1013#121—216no—
1014#121—216no—
1015#121—44no—
1016#121—48no—
1017#121—48no—
1018#121—48no—
1019#121—48no—
1020#121—48no—
1021#121—44no—
1022#121—44no—
1023#121—44no—
1024#121—44no—
1025#121—48no—
1026#121—84no—
1027#121—82no—
1028#121—84no—
1029#121—84no—
1030#121—84no—
1031C4×Q8—28no—
1032C4×Q8—28no—
1033C4×Q8—28no—
1034C4×Q8—28no—
1035C4×Q8—24no—
1036C4×Q8—28no—
1037C4×Q8—24no—
1038C4×Q8—24no—
1039C4×Q8—28no—
1040C4×Q8—48no—
1041C4×Q8—48no—
1042C4×Q8—44no—
1043C4×Q8—44no—
1044C4×Q8—42no—
1045C4×Q8C2×D418yes—
1046C4×D4—28no—
1047C4×D4—28no—
1048C4×D4—216no—
1049C4×D4—216no—
1050C4×D4—28no—
1051C4×D4—28no—
1052C4×D4—28no—
1053C4×D4—28no—
1054C4×D4—24no—
1055C4×D4—24no—
1056C4×D4—28no—
1057C4×D4—24no—
1058C4×D4—28no—
1059C4×D4—28no—
1060C4×D4—48no—
1061C4×D4—42no—
1062C4×D4—48no—
1063C4×D4—42no—
1064C4×D4—44no—
1065C4×D4—42no—
1066C4×D4—44no—
1067C4×D4—42no—
1068C4×D4—44no—
1069C4×D4—84no—
1070C4×D4C2×D418yes—
1071C4×D4C2×D4116yes—
1072#117—28no—
1073#117—28no—
1074#117—28no—
1075#117—216no—
1076#117—28no—
1077#117—28no—
1078#117—28no—
1079C2×C4⋊C4—28no—
1080C2×C4⋊C4—216no—
1081C2×C4⋊C4—28no—
1082C2×C4⋊C4—28no—
1083C2×C4⋊C4—48no—
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2411yescharacteristic
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2411yescharacteristic
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2411yescharacteristic
1192C2×C22⋊C4C2411yescharacteristic
1193C2×C22⋊C4C2411yescharacteristic
1194C2×C22⋊C4C2411yescharacteristic
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2412yes—
1220C2×C42—24no—
1221C2×C42—24no—
1222C2×C42—44no—
1223C2×C42—48no—
1224C2×C42C2414yes—
1225C2×C42C2414yes—
1226C2×C42C2411yescharacteristic
1227C2×C42C2411yescharacteristic
1228C2×C42C2412yes—
1229C2×C42C2412yes—
1230C2×C42C2411yescharacteristic
1231C2×C42C2411yescharacteristic
1232C2×C42C2412yes—
1233C2×C42C2411yescharacteristic
1234C2×C42C2411yescharacteristic
1235C2×C42C2412yes—
1236C2×C42C2414yes—
1237C2×C42C2412yes—
1238C2×C42C2414yes—
1239C2×C42C2411yescharacteristic
1240C2×C42C2411yescharacteristic
1241C2×C42C2411yescharacteristic
1242C2×C42C2411yescharacteristic
1243C2×C42C2412yes—
1244C2×C42C2411yescharacteristic
1245C2×C42C2412yes—
1246C2×C42C2414yes—
1247C2×C42C2412yes—
1248C2×C42C2412yes—
1249C2×C42C2414yes—
1250C2×C42C2412yes—
1251C2×C42C2411yescharacteristic
1252C2×C42C2412yes—
1253C2×C42C2411yescharacteristic
1254#95C2411yescharacteristic
1255#95C2412yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2411yescharacteristic
1259#95C2414yes—
1260#95C2412yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2412yes—
1264#95C2411yescharacteristic
1265#95C2412yes—
1266#95C2411yescharacteristic
1267#95C2411yescharacteristic
1268#95C2411yescharacteristic
1269#95C2412yes—
1270#95C2414yes—
1271#95C2412yes—
1272#95C2414yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2414yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2414yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300C24C2511yescharacteristic
1301C24C2514yes—
1302C24C2512yes—
1303C24C2512yes—
1304C24C2511yescharacteristic
1305C24C2512yes—
1306#41—816no—
1307#41—816no—
1308#41—816no—
1309#41—816no—
1310C2×Q8—22no—
1311C2×Q8—22no—
1312C2×Q8—24no—
1313C2×Q8—24no—
1314C2×Q8—24no—
1315C2×Q8—22no—
1316C2×Q8—24no—
1317C2×Q8—22no—
1318C2×Q8—22no—
1319C2×Q8—22no—
1320C2×Q8—24no—
1321C2×Q8—22no—
1322C2×Q8—22no—
1323C2×Q8—44no—
1324C2×Q8—44no—
1325C2×Q8—42no—
1326C2×Q8—42no—
1327C2×Q8—42no—
1328C2×Q8—42no—
1329C2×Q8—42no—
1330C2×Q8—42no—
1331C2×Q8—432no—
1332C2×Q8C22×D418yes—
1333C2×Q8C22×D414yes—
1334C2×Q8C22×D4116yes—
1335C2×D4—24no—
1336C2×D4—28no—
1337C2×D4—24no—
1338C2×D4—28no—
1339C2×D4—24no—
1340C2×D4—28no—
1341C2×D4—24no—
1342C2×D4—22no—
1343C2×D4—24no—
1344C2×D4—22no—
1345C2×D4—24no—
1346C2×D4—24no—
1347C2×D4—24no—
1348C2×D4—28no—
1349C2×D4—28no—
1350C2×D4—24no—
1351C2×D4—24no—
1352C2×D4—22no—
1353C2×D4—28no—
1354C2×D4—24no—
1355C2×D4—22no—
1356C2×D4—22no—
1357C2×D4—24no—
1358C2×D4—24no—
1359C2×D4—28no—
1360C2×D4—22no—
1361C2×D4—24no—
1362C2×D4—24no—
1363C2×D4—22no—
1364C2×D4—22no—
1365C2×D4—41no—
1366C2×D4—41no—
1367C2×D4—41no—
1368C2×D4—44no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—42no—
1374C2×D4—42no—
1375C2×D4—44no—
1376C2×D4—42no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—42no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—42no—
1385C2×D4—42no—
1386C2×D4—42no—
1387C2×D4—42no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—42no—
1393C2×D4—42no—
1394C2×D4—42no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—42no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—42no—
1401C2×D4—44no—
1402C2×D4—42no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4C22×D414yes—
1410C22×C4—24no—
1411C22×C4—24no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—24no—
1417C22×C4—24no—
1418C22×C4—22no—
1419C22×C4—24no—
1420C22×C4—22no—
1421C22×C4—24no—
1422C22×C4—24no—
1423C22×C4—22no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—24no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—24no—
1431C22×C4—24no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—28no—
1435C22×C4—28no—
1436C22×C4—28no—
1437C22×C4—28no—
1438C22×C4—28no—
1439C22×C4—28no—
1440C22×C4—42no—
1441C22×C4—44no—
1442C22×C4—44no—
1443C22×C4—42no—
1444C22×C4—44no—
1445C22×C4—44no—
1446C22×C4—44no—
1447C22×C4—44no—
1448C22×C4—44no—
1449C22×C4—41no—
1450C22×C4—41no—
1451C22×C4—42no—
1452C22×C4—44no—
1453C22×C4—44no—
1454C22×C4—44no—
1455C22×C4—44no—
1456C22×C4—41no—
1457C22×C4—42no—
1458C22×C4—41no—
1459C22×C4—44no—
1460C22×C4—44no—
1461C22×C4—44no—
1462C22×C4C22×D418yes—
1463C22×C4C22×D4116yes—
1464C22×C4C2512yes—
1465C22×C4C2511yescharacteristic
1466C22×C4C2511yescharacteristic
1467C22×C4C2512yes—
1468C22×C4C2511yescharacteristic
1469C22×C4C2511yescharacteristic
1470C22×C4C2512yes—
1471C22×C4C2512yes—
1472C22×C4C2511yescharacteristic
1473C22×C4C2514yes—
1474C22×C4C2511yescharacteristic
1475C22×C4C2511yescharacteristic
1476C22×C4C2512yes—
1477C22×C4C2512yes—
1478C22×C4C2512yes—
1479C22×C4C2511yescharacteristic
1480C22×C4C2514yes—
1481C22×C4C2511yescharacteristic
1482C22×C4C2512yes—
1483C22×C4C2511yescharacteristic
1484C22×C4C2512yes—
1485C22×C4C2514yes—
1486C22×C4C2512yes—
1487C22×C4C2512yes—
1488C22×C4C2512yes—
1489C22×C4C2512yes—
1490C22×C4C2511yescharacteristic
1491C22×C4C2511yescharacteristic
1492C22×C4C2511yescharacteristic
1493C4⋊C4—22no—
1494C4⋊C4—24no—
1495C4⋊C4—24no—
1496C4⋊C4—24no—
1497C4⋊C4—28no—
1498C4⋊C4—28no—
1499C4⋊C4—28no—
1500C4⋊C4—24no—
1501C4⋊C4—22no—
1502C4⋊C4—24no—
1503C4⋊C4—24no—
1504C4⋊C4—24no—
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—24no—
1509C4⋊C4—22no—
1510C4⋊C4—24no—
1511C4⋊C4—24no—
1512C4⋊C4—28no—
1513C4⋊C4—22no—
1514C4⋊C4—24no—
1515C4⋊C4—28no—
1516C4⋊C4—28no—
1517C4⋊C4—28no—
1518C4⋊C4—24no—
1519C4⋊C4—28no—
1520C4⋊C4—24no—
1521C4⋊C4—28no—
1522C4⋊C4—24no—
1523C4⋊C4—24no—
1524C4⋊C4—28no—
1525C4⋊C4—24no—
1526C4⋊C4—24no—
1527C4⋊C4—22no—
1528C4⋊C4—24no—
1529C4⋊C4—22no—
1530C4⋊C4—44no—
1531C4⋊C4—44no—
1532C4⋊C4—42no—
1533C4⋊C4—41no—
1534C4⋊C4—41no—
1535C4⋊C4—41no—
1536C4⋊C4—44no—
1537C4⋊C4—42no—
1538C4⋊C4—44no—
1539C4⋊C4—42no—
1540C4⋊C4—44no—
1541C4⋊C4—42no—
1542C4⋊C4—44no—
1543C4⋊C4—42no—
1544C4⋊C4—44no—
1545C4⋊C4—42no—
1546C4⋊C4—44no—
1547C4⋊C4—44no—
1548C4⋊C4—44no—
1549C4⋊C4C22×D414yes—
1550C4⋊C4C22×D418yes—
1551C4⋊C4C22×D4116yes—
1552C4⋊C4C22×D414yes—
1553C4⋊C4C22×D418yes—
1554C4⋊C4C22×D418yes—
1555C4⋊C4H(5,𝔽2)14yes—
1556C4⋊C42−1+414yes—
1557C22⋊C4—24no—
1558C22⋊C4—28no—
1559C22⋊C4—24no—
1560C22⋊C4—24no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—28no—
1566C22⋊C4—24no—
1567C22⋊C4—24no—
1568C22⋊C4—28no—
1569C22⋊C4—28no—
1570C22⋊C4—24no—
1571C22⋊C4—28no—
1572C22⋊C4—28no—
1573C22⋊C4—24no—
1574C22⋊C4—28no—
1575C22⋊C4—28no—
1576C22⋊C4—28no—
1577C22⋊C4—24no—
1578C22⋊C4—24no—
1579C22⋊C4—28no—
1580C22⋊C4—28no—
1581C22⋊C4—24no—
1582C22⋊C4—24no—
1583C22⋊C4—28no—
1584C22⋊C4—24no—
1585C22⋊C4—24no—
1586C22⋊C4—24no—
1587C22⋊C4—28no—
1588C22⋊C4—24no—
1589C22⋊C4—24no—
1590C22⋊C4—22no—
1591C22⋊C4—28no—
1592C22⋊C4—22no—
1593C22⋊C4—24no—
1594C22⋊C4—41no—
1595C22⋊C4—41no—
1596C22⋊C4—42no—
1597C22⋊C4—41no—
1598C22⋊C4—41no—
1599C22⋊C4—44no—
1600C22⋊C4—42no—
1601C22⋊C4—42no—
1602C22⋊C4—42no—
1603C22⋊C4—42no—
1604C22⋊C4—42no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—42no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—42no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—42no—
1620C22⋊C4—42no—
1621C22⋊C4—44no—
1622C22⋊C4—42no—
1623C22⋊C4—42no—
1624C22⋊C4—42no—
1625C22⋊C4—42no—
1626C22⋊C4—42no—
1627C22⋊C4C22×D4116yes—
1628C22⋊C4C22×D418yes—
1629C42—22no—
1630C42—22no—
1631C42—22no—
1632C42—22no—
1633C42—22no—
1634C42—22no—
1635C42—28no—
1636C42—28no—
1637C42—24no—
1638C42—24no—
1639C42—28no—
1640C42—24no—
1641C42—22no—
1642C42—28no—
1643C42—24no—
1644C42—22no—
1645C42—24no—
1646C42—22no—
1647C42—24no—
1648C42—22no—
1649C42—22no—
1650C42—44no—
1651C42—42no—
1652C42—44no—
1653C42—42no—
1654C42—42no—
1655C42—42no—
1656C42—41no—
1657C42C22×D414yes—
1658C42C22×D418yes—
1659C23—22no—
1660C23—22no—
1661C23—22no—
1662C23—22no—
1663C23—22no—
1664C23—22no—
1665C23—22no—
1666C23—21no—
1667C23—21no—
1668C23—24no—
1669C23—22no—
1670C23—21no—
1671C23—24no—
1672C23—22no—
1673C23—22no—
1674C23—21no—
1675C23—21no—
1676C23—24no—
1677C23—22no—
1678C23—22no—
1679C23—21no—
1680C23—21no—
1681C23—24no—
1682C23—22no—
1683C23—22no—
1684C23—21no—
1685C23—21no—
1686C23—22no—
1687C23—22no—
1688C23—22no—
1689C23—24no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—24no—
1694C23—22no—
1695C23—22no—
1696C23—21no—
1697C23—24no—
1698C23—22no—
1699C23—21no—
1700C23C23×D414yes—
1701C23C2611yescharacteristic
1702Q8—28no—
1703Q8—216no—
1704Q8—416no—
1705Q8—44no—
1706Q8—44no—
1707Q8—84no—
1708Q8—84no—
1709Q8—84no—
1710D4—28no—
1711D4—44no—
1712D4—44no—
1713D4—48no—
1714D4—44no—
1715D4—48no—
1716D4—84no—
1717D4—84no—
1718D4—88no—
1719D4—84no—
1720D4—88no—
1721D4—84no—
1722D4—84no—
1723D4—88no—
1724D4—88no—
1725D4—84no—
1726D4—84no—
1727D4—88no—
1728D4—88no—
1729D4—84no—
1730D4—84no—
1731D4—88no—
1732D4—88no—
1733D4—164no—
1734D4—164no—
1735C2×C4—21no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—24no—
1739C2×C4—22no—
1740C2×C4—21no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—21no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—24no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—21no—
1751C2×C4—216no—
1752C2×C4—21no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—21no—
1756C2×C4—22no—
1757C2×C4—21no—
1758C2×C4—24no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—21no—
1766C2×C4—22no—
1767C2×C4—24no—
1768C2×C4—21no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—22no—
1774C2×C4—21no—
1775C2×C4—22no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—22no—
1782C2×C4—21no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—21no—
1786C2×C4—24no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—22no—
1792C2×C4—24no—
1793C2×C4—22no—
1794C2×C4—21no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—24no—
1803C2×C4—22no—
1804C2×C4—21no—
1805C2×C4—24no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—21no—
1809C2×C4—416no—
1810C2×C4—48no—
1811C2×C4—44no—
1812C2×C4—48no—
1813C2×C4—44no—
1814C2×C4—44no—
1815C2×C4—44no—
1816C2×C4—48no—
1817C2×C4—88no—
1818C2×C4—88no—
1819C2×C4—82no—
1820C2×C4—82no—
1821C2×C4—88no—
1822C2×C4—88no—
1823C2×C4—88no—
1824C2×C4—88no—
1825C2×C4—84no—
1826C2×C4C23×D412yes—
1827C2×C4C23×D414yes—
1828C2×C4C23×D418yes—
1829C2×C4C23×D414yes—
1830C2×C4C23×D414yes—
1831C2×C4C23×D412yes—
1832C2×C4C23×D412yes—
1833C2×C4C2×H(5,𝔽2)14yes—
1834C2×C4C2×H(5,𝔽2)12yes—
1835C2×C4C2×2−1+414yes—
1836C2×C4C2×2−1+412yes—
1837C2×C4#58512yes—
1838C2×C4#58512yes—
1839C2×C4#58512yes—
1840C22—24no—
1841C22—24no—
1842C22—24no—
1843C22—42no—
1844C22—42no—
1845C22—42no—
1846C22—42no—
1847C22—42no—
1848C22—41no—
1849C22—44no—
1850C22—41no—
1851C22—42no—
1852C22—42no—
1853C22—41no—
1854C22—44no—
1855C22—42no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—42no—
1860C22—44no—
1861C22—42no—
1862C22—41no—
1863C22—42no—
1864C22—41no—
1865C22—42no—
1866C22—44no—
1867C22—41no—
1868C22—41no—
1869C22—42no—
1870C22—42no—
1871C22—44no—
1872C22—42no—
1873C22—41no—
1874C22—44no—
1875C22—42no—
1876C22—41no—
1877C22—41no—
1878C22—44no—
1879C22—42no—
1880C22—42no—
1881C22—41no—
1882C22C24×D411yescharacteristic
1883C22C22×H(5,𝔽2)11yescharacteristic
1884C22C22×2−1+411yescharacteristic
1885C22C2×#58511yescharacteristic
1886C22C2×#58511yescharacteristic
1887C22C2×#58511yescharacteristic
1888C22H(7,𝔽2)11yescharacteristic
1889C4—24no—
1890C4—22no—
1891C4—22no—
1892C4—24no—
1893C4—24no—
1894C4—24no—
1895C4—28no—
1896C4—24no—
1897C4—42no—
1898C4—41no—
1899C4—44no—
1900C4—41no—
1901C4—42no—
1902C4—41no—
1903C4—42no—
1904C4—41no—
1905C4—42no—
1906C4—41no—
1907C4—42no—
1908C4—41no—
1909C4—41no—
1910C4—42no—
1911C4—42no—
1912C4—41no—
1913C4—44no—
1914C4—42no—
1915C4—41no—
1916C4#349614yes—
1917C4#349714yes—
1918C2—44no—
1919C2—82no—
1920C2—81no—
1921C2—84no—
1922C2—81no—
1923C2—82no—
1924C2#6276211yescharacteristic
1925C2C2×#349611yescharacteristic
1926C2C2×#349711yescharacteristic
1927C2#6292011yescharacteristic
1928C2#6295211yescharacteristic
1929C2#6300311yescharacteristic
1930C2#6301511yescharacteristic
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×#3554C2semidirect
3. #59652C2semidirect
4. #59550C2semidirect
5. #59418C2semidirect
6. #59067C2semidirect
7. #59051C2semidirect
8. #49580C2semidirect
9. #47868C2semidirect
10. #45786C2semidirect
11. #45110C2semidirect
12. #45016C2semidirect
13. #44897C2semidirect
14. #44884C2semidirect
15. #42797C2semidirect
16. #42796C2semidirect
17. #42445C2semidirect
18. #42444C2semidirect
19. #39598C2semidirect
20. #39433C2semidirect
21. #39424C2semidirect
22. #39393C2semidirect
23. #39341C2semidirect
24. #39137C2semidirect
25. #38922C2semidirect
26. #36576C2semidirect
27. #36496C2semidirect
28. #36471C2semidirect
29. #36412C2semidirect
30. #36150C2semidirect
31. #35171C2semidirect
32. #35153C2semidirect
33. #34919C2semidirect
34. #34889C2semidirect
35. C4×D4×Q8C2semidirect
319. 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×#35542
#596522
#595502
#594182
#590672
#590512
#495802
#478682
#457862
#451102
#450162
#448972
#448842
#427972
#427962
#424452
#424442
#395982
#394332
#394242
#393932
#393412
#391372
#389222
#365762
#364962
#364712
#364122
#361502
#351712
#351532
#349192
#348892
C4×D4×Q82