Finite Group Databasebeta

← #7658963

Subgroups — #7658963

Order 512.

6482 conjugacy classes of subgroups.

The subgroup lattice has 1876 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3512C211yesmaximal, characteristic, complemented
2C2×#3515C211yesmaximal, characteristic, complemented
3#42316C212yesmaximal, complemented
4#42306C212yesmaximal, complemented
5#42300C214yesmaximal, complemented
6#42171C212yesmaximal, complemented
7#42155C212yesmaximal, complemented
8#42149C212yesmaximal, complemented
9#41991C212yesmaximal, complemented
10#41944C212yesmaximal, complemented
11#41937C212yesmaximal, complemented
12#41425C212yesmaximal, complemented
13#41420C212yesmaximal, complemented
14#41413C212yesmaximal, complemented
15#41408C212yesmaximal, complemented
16#40531C214yesmaximal, complemented
17#40518C214yesmaximal, complemented
18#37608C211yesmaximal, characteristic, complemented
19#37607C211yesmaximal, characteristic, complemented
20#37607C211yesmaximal, characteristic, complemented
21#37555C211yesmaximal, characteristic, complemented
22#37554C211yesmaximal, characteristic, complemented
23#37549C211yesmaximal, characteristic, complemented
24#37541C211yesmaximal, characteristic, complemented
25#37541C211yesmaximal, characteristic, complemented
26#37539C211yesmaximal, characteristic, complemented
27#36699C211yesmaximal, characteristic, complemented
28#36684C211yesmaximal, characteristic, complemented
29C2×#2822C211yesmaximal, characteristic, complemented
30#36070C212yesmaximal, complemented
31#36045C212yesmaximal, complemented
32#36001C212yesmaximal, complemented
33#35953C212yesmaximal, complemented
34#35807C214yesmaximal, complemented
35#34191C211yesmaximal, characteristic, complemented
36#3515—216no—
37#3512—216no—
38C2×#557C2211yescharacteristic
39C2×#554C2211yescharacteristic
40C2×#554C2211yescharacteristic
41C2×#553C2211yescharacteristic
42C2×#553C2211yescharacteristic
43C2×#553C2212yes—
44C2×#553C2212yes—
45C2×#553C2212yes—
46C2×#553C2212yes—
47C2×#553C2212yes—
48C2×#553C2212yes—
49C2×#552C2212yes—
50C2×#552C2212yes—
51C2×#552C2212yes—
52C2×#552C2212yes—
53C2×#552C2211yescharacteristic
54C2×#552C2211yescharacteristic
55C2×#552C2212yes—
56C2×#547C2212yes—
57C2×#547C2211yescharacteristic
58C2×#541C2212yes—
59C2×#541C2211yescharacteristic
60C2×#541C2211yescharacteristic
61C2×#540C2211yescharacteristic
62C2×#540C2211yescharacteristic
63C2×#539C2212yes—
64C2×#539C2212yes—
65C2×#537C2211yescharacteristic
66C2×#537C2211yescharacteristic
67C2×#533C2211yescharacteristic
68C2×#532C2211yescharacteristic
69C2×#529C2211yescharacteristic
70C2×#529C2211yescharacteristic
71C2×#529C2211yescharacteristic
72C2×#529C2211yescharacteristic
73C2×#529C2211yescharacteristic
74C2×#529C2211yescharacteristic
75C2×#529C2211yescharacteristic
76C22×#125C2211yescharacteristic
77C22×#125C2211yescharacteristic
78C22×#125C2211yescharacteristic
79C2×#520C2212yes—
80C2×#520C2211yescharacteristic
81C2×#520C2211yescharacteristic
82C2×C4×#41C2211yescharacteristic
83#2823C2214yes—
84#2822C2212yes—
85#2822C2214yes—
86#2822C2212yes—
87#2822C2211yescharacteristic
88#2822C2212yes—
89#2822C2211yescharacteristic
90#2822C2211yescharacteristic
91#2822C2212yes—
92#2822C2211yescharacteristic
93#2822C2211yescharacteristic
94#2822C2211yescharacteristic
95#2821C2212yes—
96#2821C2212yes—
97#2820C2211yescharacteristic
98#2820C2211yescharacteristic
99#2820C2211yescharacteristic
100#2820C2211yescharacteristic
101#2820C2211yescharacteristic
102#2820C2211yescharacteristic
103#2820C2211yescharacteristic
104#2820C2211yescharacteristic
105#2819C2211yescharacteristic
106#2819C2211yescharacteristic
107#2817C2212yes—
108#2816C2212yes—
109#2814C2214yes—
110#2814C2212yes—
111#2814C2212yes—
112#2813C2212yes—
113#2813C2212yes—
114#2732C2214yes—
115#2729C2214yes—
116#2729C2214yes—
117#2728C2214yes—
118#2726C2214yes—
119#2722C2214yes—
120#2720C2214yes—
121#2719C2214yes—
122#2718C2214yes—
123#2708C2214yes—
124#2708C2214yes—
125#2707C2214yes—
126#2704C2214yes—
127#2703C2214yes—
128#2698C2214yes—
129#2696C2214yes—
130#2695C2214yes—
131#2694C2214yes—
132#2691C2214yes—
133#2688C2214yes—
134#2681C2214yes—
135#2681C2214yes—
136#2671C2214yes—
137#2671C2214yes—
138#2664C2212yes—
139#2664C2214yes—
140#2664C2214yes—
141#2664C2212yes—
142#2663C2212yes—
143#2663C2212yes—
144#2661C2212yes—
145#2661C2212yes—
146#2660C2212yes—
147#2659C2212yes—
148#2656C2212yes—
149#2641C2212yes—
150#2639C2212yes—
151#2639C2212yes—
152#2638C2212yes—
153#2638C2212yes—
154#2637C2214yes—
155#2637C2212yes—
156#2637C2212yes—
157#2636C2212yes—
158#2636C2214yes—
159#2636C2212yes—
160#2635C2212yes—
161#2635C2212yes—
162#2634C2212yes—
163#2634C2212yes—
164#2633C2212yes—
165#2633C2212yes—
166#2633C2212yes—
167#2633C2212yes—
168#2630C2214yes—
169#2630C2214yes—
170#2629C2214yes—
171#2628C2212yes—
172#2628C2212yes—
173#2627C2212yes—
174#2623C2212yes—
175#2623C2212yes—
176#2623C2212yes—
177#2623C2212yes—
178#2621C2212yes—
179#2619C2212yes—
180#2618C2214yes—
181#2618C2214yes—
182#2618C2212yes—
183#2611C2212yes—
184#2611C2212yes—
185#2611C2212yes—
186#2611C2212yes—
187#2609C2214yes—
188#2604C2212yes—
189#2604C2212yes—
190#2603C2212yes—
191#2603C2212yes—
192#2601C2214yes—
193#2601C2214yes—
194#2599C2212yes—
195#2599C2212yes—
196#2598C2212yes—
197#2598C2212yes—
198#2591C2212yes—
199#2591C2212yes—
200#2584C2212yes—
201#2583C2212yes—
202#2583C2212yes—
203#2581C2212yes—
204#2580C2212yes—
205#2579C2214yes—
206#2579C2214yes—
207#2566C2214yes—
208#2564C2212yes—
209#2564C2212yes—
210#2562C2212yes—
211#2559C2214yes—
212#2558C2214yes—
213#2554C2214yes—
214#2553C2214yes—
215#2543C2214yes—
216#2543C2212yes—
217#2543C2212yes—
218#2536C2212yes—
219#2535C2212yes—
220#2519C2214yes—
221#2506C2214yes—
222#2504C2212yes—
223#2501C2212yes—
224#2498C2212yes—
225#2498C2212yes—
226#2496C2214yes—
227#2487C2212yes—
228#2486C2212yes—
229#2481C2214yes—
230#2479C2214yes—
231#2478C2214yes—
232#2477C2214yes—
233#2476C2214yes—
234#2475C2214yes—
235#2475C2214yes—
236#2473C2214yes—
237#2473C2214yes—
238#2473C2214yes—
239#2468C2214yes—
240#2464C2214yes—
241#2464C2214yes—
242#2462C2214yes—
243#2458C2214yes—
244#2450C2214yes—
245#2449C2214yes—
246#2449C2214yes—
247#2444C2214yes—
248#2443C2214yes—
249#2443C2214yes—
250#2430C2212yes—
251#2430C2214yes—
252#2430C2212yes—
253#2430C2214yes—
254#2425C2214yes—
255#2425C2214yes—
256#2425C2214yes—
257#2425C2214yes—
258#2417C2214yes—
259#2416C2214yes—
260#2416C2214yes—
261#2413C2214yes—
262#2406C2212yes—
263#2406C2212yes—
264#2399C2212yes—
265#2398C2212yes—
266#2396C2214yes—
267#2396C2212yes—
268#2396C2212yes—
269#2395C2212yes—
270#2395C2212yes—
271C2×#400C2212yes—
272C2×#400C2212yes—
273#2392C2212yes—
274#2392C2214yes—
275#2392C2212yes—
276C2×#398C2214yes—
277C2×#398C2212yes—
278C2×#398C2212yes—
279#2364C2214yes—
280#2361C2214yes—
281#2359C2214yes—
282#2359C2214yes—
283#2355C2212yes—
284#2352C2212yes—
285#2352C2212yes—
286D4×C4⋊C4C2212yes—
287#2346C2212yes—
288#2343C2212yes—
289#2343C2212yes—
290#2339C2212yes—
291#2320C2212yes—
292#2318C2212yes—
293#2318C2212yes—
294#2285C2211yescharacteristic
295#2283C2211yescharacteristic
296#2283C2211yescharacteristic
297#2283C2211yescharacteristic
298C2×#382C2211yescharacteristic
299C2×#382C2211yescharacteristic
300#2275C2212yes—
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2311yescharacteristic
305#557—28no—
306#554—28no—
307#554—28no—
308#553—216no—
309#553—216no—
310#553—216no—
311#553—216no—
312#553—216no—
313#553—216no—
314#553—28no—
315#553—28no—
316#552—216no—
317#552—216no—
318#552—28no—
319#552—28no—
320#552—216no—
321#552—216no—
322#552—216no—
323#547—216no—
324#547—28no—
325#541—216no—
326#541—28no—
327#541—28no—
328#540—28no—
329#540—28no—
330#539—216no—
331#539—216no—
332#537—28no—
333#537—28no—
334#533—28no—
335#532—28no—
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2312yes—
340C2×#127C2311yescharacteristic
341#529—28no—
342#529—28no—
343#529—28no—
344#529—28no—
345#529—28no—
346#529—28no—
347#529—28no—
348C2×#126C2312yes—
349C2×#126C2312yes—
350C2×#126C2312yes—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#126C2312yes—
361C2×#126C2312yes—
362C2×#126C2312yes—
363C2×#125—28no—
364C2×#125—28no—
365C2×#125—28no—
366C2×#125C2312yes—
367C2×#125C2311yescharacteristic
368C2×#125C2311yescharacteristic
369C2×#125C2311yescharacteristic
370C2×#125C2311yescharacteristic
371C2×#125C2311yescharacteristic
372C2×#125C2312yes—
373C2×#125C2311yescharacteristic
374C2×#125C2311yescharacteristic
375C2×#125C2311yescharacteristic
376C2×#125C2311yescharacteristic
377C2×#125C2312yes—
378C2×#125C2312yes—
379C2×#125C2312yes—
380C2×#125C2311yescharacteristic
381C2×#125C2311yescharacteristic
382C2×#125C2312yes—
383C2×#125C2312yes—
384C2×#125C2312yes—
385C2×#125C2312yes—
386C2×#125C2312yes—
387C2×#125C2312yes—
388C2×#125C2312yes—
389C2×#125C2312yes—
390C2×#125C2312yes—
391C2×#125C2312yes—
392C2×#124C2311yescharacteristic
393C2×#124C2311yescharacteristic
394C2×#124C2311yescharacteristic
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2314yes—
413C2×#123C2314yes—
414C2×#123C2314yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2311yescharacteristic
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2314yes—
433C2×#121C2311yescharacteristic
434C2×#121C2311yescharacteristic
435C2×#121C2311yescharacteristic
436C2×#121C2311yescharacteristic
437C2×#121C2312yes—
438C2×#121C2311yescharacteristic
439C2×#121C2311yescharacteristic
440C2×#121C2312yes—
441C2×#121C2311yescharacteristic
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2314yes—
455C2×#121C2314yes—
456C2×#121C2314yes—
457C2×#121C2314yes—
458#520—216no—
459#520—28no—
460#520—28no—
461C4×#41D4116yescomplemented
462C2×C4×Q8C2311yescharacteristic
463C2×C4×Q8C2311yescharacteristic
464C2×C4×Q8C2312yes—
465C2×C4×Q8C2311yescharacteristic
466C2×C4×Q8C2311yescharacteristic
467C2×C4×Q8C2311yescharacteristic
468C2×C4×Q8C2311yescharacteristic
469C2×C4×Q8C2312yes—
470C2×C4×Q8C2311yescharacteristic
471C2×C4×Q8C2312yes—
472C2×C4×Q8C2311yescharacteristic
473C2×C4×Q8C2311yescharacteristic
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2312yes—
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2314yes—
498C2×C4×D4C2314yes—
499C2×C4×D4C2311yescharacteristic
500C2×C4×D4C2311yescharacteristic
501C2×C4×D4C2311yescharacteristic
502C2×C4×D4C2311yescharacteristic
503C2×C4×D4C2311yescharacteristic
504C2×C4×D4C2311yescharacteristic
505C2×#117C2312yes—
506C2×#117C2312yes—
507C2×#117C2312yes—
508C2×#117C2312yes—
509C2×#117C2312yes—
510C2×#117C2312yes—
511C2×#117C2312yes—
512C2×#117C2312yes—
513C2×#117C2311yescharacteristic
514C2×#117C2311yescharacteristic
515C2×#117C2312yes—
516C2×#117C2312yes—
517C2×#117C2312yes—
518C2×#117C2312yes—
519C2×#117C2311yescharacteristic
520C2×#117C2311yescharacteristic
521C2×#117C2311yescharacteristic
522C22×C4⋊C4C2312yes—
523C22×C4⋊C4C2312yes—
524C22×C4⋊C4C2312yes—
525C22×C4⋊C4C2312yes—
526C22×C4⋊C4C2312yes—
527C22×C4⋊C4C2311yescharacteristic
528C22×C4⋊C4C2311yescharacteristic
529C22×C4⋊C4C2311yescharacteristic
530C22×C4⋊C4C2311yescharacteristic
531C22×C4⋊C4C2311yescharacteristic
532C22×C4⋊C4C2312yes—
533C22×C4⋊C4C2311yescharacteristic
534C22×C4⋊C4C2312yes—
535C22×C4⋊C4C2312yes—
536C22×C4⋊C4C2312yes—
537C22×C4⋊C4C2312yes—
538C22×C4⋊C4C2312yes—
539C22×C4⋊C4C2314yes—
540C22×C42C2311yescharacteristic
541C22×C42C2311yescharacteristic
542C22×C42C2311yescharacteristic
543#400C2314yes—
544#400C2312yes—
545#400C2312yes—
546#400C2312yes—
547#400C2312yes—
548#400C2312yes—
549#400C2312yes—
550#400C2312yes—
551#400C2312yes—
552#400C2312yes—
553#400C2312yes—
554#400C2312yes—
555#400C2314yes—
556#400C2314yes—
557#400C2314yes—
558#400C2314yes—
559#400C2312yes—
560#400C2314yes—
561#400C2314yes—
562#400C2314yes—
563#399C2314yes—
564#399C2312yes—
565#399C2312yes—
566#399C2312yes—
567#399C2312yes—
568#399C2312yes—
569#399C2312yes—
570#399C2312yes—
571#399C2312yes—
572#399C2314yes—
573#399C2314yes—
574#399C2314yes—
575#398C2312yes—
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2314yes—
580#398C2314yes—
581#398C2314yes—
582#398C2312yes—
583#398C2312yes—
584#398C2312yes—
585#398C2312yes—
586#398C2314yes—
587#398C2314yes—
588#398C2312yes—
589#398C2312yes—
590#398C2314yes—
591#398C2314yes—
592#398C2314yes—
593#398C2314yes—
594#398C2314yes—
595#398C2314yes—
596#398C2314yes—
597#398C2314yes—
598#398C2314yes—
599#398C2314yes—
600#398C2312yes—
601#398C2312yes—
602#398C2314yes—
603#398C2314yes—
604#398C2314yes—
605#398C2314yes—
606#398C2314yes—
607#398C2314yes—
608#398C2314yes—
609#398C2314yes—
610#398C2314yes—
611#398C2314yes—
612#397C2314yes—
613#397C2314yes—
614#397C2312yes—
615#397C2312yes—
616#397C2312yes—
617#397C2312yes—
618#397C2312yes—
619#397C2312yes—
620#397C2312yes—
621#397C2312yes—
622#397C2314yes—
623#397C2314yes—
624#397C2314yes—
625#397C2314yes—
626#397C2314yes—
627#397C2314yes—
628#397C2314yes—
629#396C2314yes—
630#396C2314yes—
631#396C2314yes—
632#396C2314yes—
633#396C2314yes—
634#396C2314yes—
635#396C2314yes—
636#396C2314yes—
637#396C2314yes—
638#396C2314yes—
639#396C2314yes—
640#396C2314yes—
641#396C2314yes—
642#396C2314yes—
643#396C2314yes—
644#396C2314yes—
645#395C2312yes—
646#395C2312yes—
647#395C2314yes—
648#395C2312yes—
649#395C2312yes—
650#395C2312yes—
651#395C2312yes—
652#395C2312yes—
653#395C2312yes—
654#395C2314yes—
655#395C2314yes—
656#394C2312yes—
657#394C2312yes—
658#394C2314yes—
659#394C2314yes—
660#394C2312yes—
661#394C2314yes—
662#394C2314yes—
663#394C2312yes—
664#394C2312yes—
665#394C2312yes—
666#394C2312yes—
667#394C2312yes—
668#394C2314yes—
669#394C2314yes—
670#394C2314yes—
671#394C2314yes—
672#394C2314yes—
673#394C2314yes—
674#394C2314yes—
675#394C2314yes—
676#394C2314yes—
677#394C2314yes—
678#394C2314yes—
679#394C2314yes—
680#393C2314yes—
681#393C2312yes—
682#393C2312yes—
683#393C2312yes—
684#393C2312yes—
685#393C2314yes—
686#393C2314yes—
687#392C2312yes—
688#392C2312yes—
689#392C2312yes—
690#392C2312yes—
691#392C2314yes—
692#392C2314yes—
693#392C2314yes—
694#392C2314yes—
695#391C2314yes—
696#391C2314yes—
697#390C2314yes—
698#390C2314yes—
699#390C2314yes—
700#390C2314yes—
701#390C2314yes—
702#389C2314yes—
703#389C2314yes—
704#389C2314yes—
705#389C2314yes—
706#389C2314yes—
707#389C2314yes—
708#389C2314yes—
709#389C2314yes—
710#389C2314yes—
711#389C2314yes—
712#389C2314yes—
713#389C2314yes—
714#389C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#387C2314yes—
740#387C2314yes—
741#387C2314yes—
742#387C2314yes—
743#387C2314yes—
744#387C2314yes—
745#387C2314yes—
746#387C2314yes—
747#387C2314yes—
748#387C2314yes—
749#387C2314yes—
750#387C2314yes—
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#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2314yes—
773#386C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2314yes—
791#385C2314yes—
792#385C2314yes—
793#385C2314yes—
794#385C2314yes—
795#385C2314yes—
796#385C2314yes—
797#384C2314yes—
798#384C2312yes—
799#383C2312yes—
800#383C2312yes—
801#383C2312yes—
802#382C2311yescharacteristic
803#382C2311yescharacteristic
804#382C2311yescharacteristic
805#382C2311yescharacteristic
806#382C2314yes—
807#382C2312yes—
808#382C2312yes—
809#382C2312yes—
810#382C2312yes—
811#382C2312yes—
812#382C2312yes—
813#381C2312yes—
814#381C2312yes—
815#381C2312yes—
816#381C2314yes—
817#380C2314yes—
818#380C2314yes—
819#380C2314yes—
820#380C2312yes—
821#380C2312yes—
822#380C2312yes—
823#380C2312yes—
824#380C2312yes—
825#380C2314yes—
826#380C2314yes—
827#380C2314yes—
828#380C2314yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2314yes—
835C4×C4⋊C4C2314yes—
836C4×C4⋊C4C2314yes—
837C4×C4⋊C4C2314yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2314yes—
847#376C2312yes—
848#376C2312yes—
849#376C2312yes—
850C2×#95C2312yes—
851C2×#95C2312yes—
852C2×#95C2312yes—
853C2×#95C2312yes—
854C2×#95C2314yes—
855C2×#95C2314yes—
856C2×#95C2314yes—
857C2×#41—28no—
858C2×#41—24no—
859C2×#41—24no—
860C2×#41—44no—
861C2×#41—44no—
862C2×#41—44no—
863C2×#41—48no—
864C2×#41C2×D418yes—
865C22×Q8C2411yescharacteristic
866C22×Q8C2411yescharacteristic
867C22×Q8C2411yescharacteristic
868C22×Q8C2412yes—
869C22×Q8C2412yes—
870C22×Q8C2411yescharacteristic
871C22×D4C2412yes—
872C22×D4C2412yes—
873C22×D4C2412yes—
874C22×D4C2411yescharacteristic
875C22×D4C2411yescharacteristic
876C22×D4C2411yescharacteristic
877C22×D4C2412yes—
878C22×D4C2411yescharacteristic
879C22×D4C2411yescharacteristic
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2414yes—
888C22×D4C2414yes—
889C22×D4C2411yescharacteristic
890C23×C4C2412yes—
891C23×C4C2411yescharacteristic
892C23×C4C2412yes—
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2414yes—
898C23×C4C2412yes—
899C23×C4C2412yes—
900C23×C4C2412yes—
901C23×C4C2412yes—
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2412yes—
906C23×C4C2412yes—
907C23×C4C2414yes—
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2411yescharacteristic
912C23×C4C2411yescharacteristic
913C23×C4C2411yescharacteristic
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C4⋊Q8—28no—
917C4⋊Q8—24no—
918C4⋊Q8—24no—
919C4⋊Q8—24no—
920#127—24no—
921#126—28no—
922#126—28no—
923#126—28no—
924#126—28no—
925#126—28no—
926#126—28no—
927#126—28no—
928#126—28no—
929#126—28no—
930#126—28no—
931#126—28no—
932#126—28no—
933#126—28no—
934#126—28no—
935#126—28no—
936#125—28no—
937#125—28no—
938#125—28no—
939#125—28no—
940#125—28no—
941#125—28no—
942#125—28no—
943#125—28no—
944#125—28no—
945#125—24no—
946#125—24no—
947#125—24no—
948#125—24no—
949#125—24no—
950#125—28no—
951#125—28no—
952#125—24no—
953#125—24no—
954#125—28no—
955#125—28no—
956#125—28no—
957#125—28no—
958#125—24no—
959#125—24no—
960#125—24no—
961#125—24no—
962#124—24no—
963#124—24no—
964#124—24no—
965#123—28no—
966#123—28no—
967#123—28no—
968#123—28no—
969#123—28no—
970#123—28no—
971#123—28no—
972#123—28no—
973#123—28no—
974#123—28no—
975#123—28no—
976#123—28no—
977#123—28no—
978#123—28no—
979#123—28no—
980#123—28no—
981#123—28no—
982#123—48no—
983#123—48no—
984#123—84no—
985C22⋊Q8—28no—
986C22⋊Q8—28no—
987C22⋊Q8—28no—
988C22⋊Q8—24no—
989C22⋊Q8—24no—
990C22⋊Q8—24no—
991C22⋊Q8—24no—
992C22⋊Q8—24no—
993C22⋊Q8—24no—
994C22⋊Q8—24no—
995C22⋊Q8—28no—
996C22⋊Q8—28no—
997C22⋊Q8—28no—
998C22⋊Q8—28no—
999C22⋊Q8—28no—
1000C22⋊Q8—28no—
1001C22⋊Q8—28no—
1002C22⋊Q8—84no—
1003#121—28no—
1004#121—28no—
1005#121—28no—
1006#121—28no—
1007#121—28no—
1008#121—28no—
1009#121—28no—
1010#121—28no—
1011#121—24no—
1012#121—24no—
1013#121—24no—
1014#121—24no—
1015#121—24no—
1016#121—24no—
1017#121—24no—
1018#121—28no—
1019#121—28no—
1020#121—28no—
1021#121—28no—
1022#121—28no—
1023#121—28no—
1024#121—48no—
1025#121—48no—
1026#121—84no—
1027#121—84no—
1028C4×Q8—28no—
1029C4×Q8—24no—
1030C4×Q8—24no—
1031C4×Q8—24no—
1032C4×Q8—24no—
1033C4×Q8—28no—
1034C4×Q8—24no—
1035C4×Q8—24no—
1036C4×Q8—24no—
1037C4×Q8—28no—
1038C4×Q8C2×D418yes—
1039C4×Q8C2×D418yes—
1040C4×D4—28no—
1041C4×D4—28no—
1042C4×D4—28no—
1043C4×D4—28no—
1044C4×D4—28no—
1045C4×D4—28no—
1046C4×D4—28no—
1047C4×D4—28no—
1048C4×D4—28no—
1049C4×D4—28no—
1050C4×D4—28no—
1051C4×D4—28no—
1052C4×D4—28no—
1053C4×D4—28no—
1054C4×D4—24no—
1055C4×D4—24no—
1056C4×D4—24no—
1057C4×D4—24no—
1058C4×D4—24no—
1059C4×D4—24no—
1060C4×D4—24no—
1061C4×D4—28no—
1062C4×D4—28no—
1063C4×D4—48no—
1064C4×D4—84no—
1065C4×D4C2×D418yes—
1066C4×D4C2×D418yes—
1067C4×D4C2×D418yes—
1068C4×D4C2×D418yes—
1069C4×D4C2×D418yes—
1070C4×D4C2×D418yes—
1071#117—24no—
1072#117—24no—
1073#117—28no—
1074#117—28no—
1075#117—28no—
1076#117—28no—
1077#117—28no—
1078#117—28no—
1079#117—28no—
1080#117—28no—
1081#117—28no—
1082#117—28no—
1083#117—28no—
1084#117—82no—
1085#117C2×D418yes—
1086#117C2×D418yes—
1087#117C2×D418yes—
1088C2×C4⋊C4—24no—
1089C2×C4⋊C4—24no—
1090C2×C4⋊C4—28no—
1091C2×C4⋊C4—28no—
1092C2×C4⋊C4—24no—
1093C2×C4⋊C4—24no—
1094C2×C4⋊C4—28no—
1095C2×C4⋊C4—28no—
1096C2×C4⋊C4—28no—
1097C2×C4⋊C4—28no—
1098C2×C4⋊C4—24no—
1099C2×C4⋊C4—24no—
1100C2×C4⋊C4—28no—
1101C2×C4⋊C4—28no—
1102C2×C4⋊C4—28no—
1103C2×C4⋊C4—82no—
1104C2×C4⋊C4—82no—
1105C2×C4⋊C4—84no—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2414yes—
1166C2×C4⋊C4C2414yes—
1167C2×C4⋊C4C2414yes—
1168C2×C4⋊C4C2414yes—
1169C2×C4⋊C4C2414yes—
1170C2×C4⋊C4C2414yes—
1171C2×C4⋊C4C2414yes—
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2414yes—
1174C2×C4⋊C4C2414yes—
1175C2×C4⋊C4C2414yes—
1176C2×C4⋊C4C2414yes—
1177C2×C4⋊C4C2414yes—
1178C2×C4⋊C4C2414yes—
1179C2×C4⋊C4C2412yes—
1180C2×C4⋊C4C2414yes—
1181C2×C4⋊C4C2414yes—
1182C2×C4⋊C4C2414yes—
1183C2×C4⋊C4C2414yes—
1184C2×C4⋊C4C2411yescharacteristic
1185C2×C4⋊C4C2411yescharacteristic
1186C2×C4⋊C4C2411yescharacteristic
1187C2×C4⋊C4C2411yescharacteristic
1188C2×C4⋊C4C2411yescharacteristic
1189C2×C4⋊C4C2411yescharacteristic
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2411yescharacteristic
1244C2×C22⋊C4C2411yescharacteristic
1245C2×C22⋊C4C2411yescharacteristic
1246C2×C22⋊C4C2411yescharacteristic
1247C2×C22⋊C4C2411yescharacteristic
1248C2×C22⋊C4C2411yescharacteristic
1249C2×C42C2×D418yes—
1250C2×C42C2×D418yes—
1251C2×C42C2×D418yes—
1252C2×C42C2412yes—
1253C2×C42C2412yes—
1254C2×C42C2412yes—
1255C2×C42C2412yes—
1256C2×C42C2412yes—
1257C2×C42C2412yes—
1258C2×C42C2412yes—
1259C2×C42C2412yes—
1260C2×C42C2412yes—
1261C2×C42C2414yes—
1262C2×C42C2414yes—
1263C2×C42C2414yes—
1264C2×C42C2414yes—
1265C2×C42C2411yescharacteristic
1266C2×C42C2411yescharacteristic
1267C2×C42C2411yescharacteristic
1268C2×C42C2411yescharacteristic
1269C2×C42C2411yescharacteristic
1270C2×C42C2411yescharacteristic
1271C2×C42C2411yescharacteristic
1272C2×C42C2411yescharacteristic
1273C2×C42C2411yescharacteristic
1274C2×C42C2411yescharacteristic
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2414yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2412yes—
1298#95C2414yes—
1299#95C2412yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2414yes—
1321C24C2512yes—
1322C24C2512yes—
1323C24C2512yes—
1324C24C2511yescharacteristic
1325C24C2511yescharacteristic
1326C24C2511yescharacteristic
1327#41—416no—
1328#41—416no—
1329#41—416no—
1330#41—432no—
1331C2×Q8—22no—
1332C2×Q8—22no—
1333C2×Q8—22no—
1334C2×Q8—24no—
1335C2×Q8—24no—
1336C2×Q8—42no—
1337C2×Q8—42no—
1338C2×Q8—42no—
1339C2×Q8—42no—
1340C2×Q8—44no—
1341C2×Q8—42no—
1342C2×Q8—42no—
1343C2×Q8C22×D414yes—
1344C2×D4—24no—
1345C2×D4—24no—
1346C2×D4—24no—
1347C2×D4—24no—
1348C2×D4—24no—
1349C2×D4—24no—
1350C2×D4—28no—
1351C2×D4—28no—
1352C2×D4—28no—
1353C2×D4—24no—
1354C2×D4—24no—
1355C2×D4—24no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—22no—
1359C2×D4—22no—
1360C2×D4—22no—
1361C2×D4—24no—
1362C2×D4—24no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—44no—
1375C2×D4—42no—
1376C2×D4—44no—
1377C2×D4—42no—
1378C2×D4—42no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—42no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D4C22×D414yes—
1386C2×D4C22×D414yes—
1387C2×D4C22×D414yes—
1388C22×C4—24no—
1389C22×C4—24no—
1390C22×C4—24no—
1391C22×C4—28no—
1392C22×C4—24no—
1393C22×C4—24no—
1394C22×C4—24no—
1395C22×C4—24no—
1396C22×C4—28no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—24no—
1401C22×C4—24no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—24no—
1406C22×C4—41no—
1407C22×C4—41no—
1408C22×C4—41no—
1409C22×C4—42no—
1410C22×C4—42no—
1411C22×C4—41no—
1412C22×C4—41no—
1413C22×C4—42no—
1414C22×C4—41no—
1415C22×C4—42no—
1416C22×C4—44no—
1417C22×C4—44no—
1418C22×C4—42no—
1419C22×C4—44no—
1420C22×C4—44no—
1421C22×C4—44no—
1422C22×C4—42no—
1423C22×C4—42no—
1424C22×C4—42no—
1425C22×C4—42no—
1426C22×C4—42no—
1427C22×C4—42no—
1428C22×C4—42no—
1429C22×C4—44no—
1430C22×C4—44no—
1431C22×C4—42no—
1432C22×C4—42no—
1433C22×C4—42no—
1434C22×C4—42no—
1435C22×C4—44no—
1436C22×C4—42no—
1437C22×C4—42no—
1438C22×C4—42no—
1439C22×C4—44no—
1440C22×C4—44no—
1441C22×C4—44no—
1442C22×C4—44no—
1443C22×C4C22×D414yes—
1444C22×C4C22×D414yes—
1445C22×C4C22×D414yes—
1446C22×C4C22×D414yes—
1447C22×C4C22×D414yes—
1448C22×C4C22×D414yes—
1449C22×C4C22×D414yes—
1450C22×C4C22×D414yes—
1451C22×C4C22×D414yes—
1452C22×C4C2514yes—
1453C22×C4C2514yes—
1454C22×C4C2514yes—
1455C22×C4C2514yes—
1456C22×C4C2512yes—
1457C22×C4C2512yes—
1458C22×C4C2512yes—
1459C22×C4C2512yes—
1460C22×C4C2512yes—
1461C22×C4C2512yes—
1462C22×C4C2512yes—
1463C22×C4C2512yes—
1464C22×C4C2512yes—
1465C22×C4C2512yes—
1466C22×C4C2512yes—
1467C22×C4C2512yes—
1468C22×C4C2512yes—
1469C22×C4C2511yescharacteristic
1470C22×C4C2511yescharacteristic
1471C22×C4C2511yescharacteristic
1472C22×C4C2511yescharacteristic
1473C22×C4C2511yescharacteristic
1474C22×C4C2511yescharacteristic
1475C22×C4C2511yescharacteristic
1476C22×C4C2511yescharacteristic
1477C22×C4C2511yescharacteristic
1478C22×C4C2511yescharacteristic
1479C22×C4C2511yescharacteristic
1480C22×C4C2511yescharacteristic
1481C4⋊C4—24no—
1482C4⋊C4—24no—
1483C4⋊C4—24no—
1484C4⋊C4—24no—
1485C4⋊C4—24no—
1486C4⋊C4—22no—
1487C4⋊C4—24no—
1488C4⋊C4—22no—
1489C4⋊C4—22no—
1490C4⋊C4—22no—
1491C4⋊C4—24no—
1492C4⋊C4—24no—
1493C4⋊C4—24no—
1494C4⋊C4—24no—
1495C4⋊C4—22no—
1496C4⋊C4—22no—
1497C4⋊C4—24no—
1498C4⋊C4—24no—
1499C4⋊C4—22no—
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—22no—
1503C4⋊C4—24no—
1504C4⋊C4—24no—
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—24no—
1509C4⋊C4—24no—
1510C4⋊C4—24no—
1511C4⋊C4—24no—
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—24no—
1515C4⋊C4—24no—
1516C4⋊C4—24no—
1517C4⋊C4—24no—
1518C4⋊C4—24no—
1519C4⋊C4—24no—
1520C4⋊C4—24no—
1521C4⋊C4—24no—
1522C4⋊C4—24no—
1523C4⋊C4—24no—
1524C4⋊C4—24no—
1525C4⋊C4—24no—
1526C4⋊C4—24no—
1527C4⋊C4—24no—
1528C4⋊C4—24no—
1529C4⋊C4—24no—
1530C4⋊C4—24no—
1531C4⋊C4—24no—
1532C4⋊C4—24no—
1533C4⋊C4—24no—
1534C4⋊C4—24no—
1535C4⋊C4—24no—
1536C4⋊C4—24no—
1537C4⋊C4—42no—
1538C4⋊C4—42no—
1539C4⋊C4—42no—
1540C4⋊C4—44no—
1541C4⋊C4—44no—
1542C4⋊C4—44no—
1543C4⋊C4—44no—
1544C4⋊C4—44no—
1545C4⋊C4—44no—
1546C4⋊C4—44no—
1547C4⋊C4—42no—
1548C4⋊C4—44no—
1549C4⋊C4—44no—
1550C4⋊C4—44no—
1551C4⋊C4—44no—
1552C4⋊C4—44no—
1553C4⋊C4—44no—
1554C4⋊C4—44no—
1555C4⋊C4—44no—
1556C4⋊C4—44no—
1557C4⋊C4—44no—
1558C4⋊C4—44no—
1559C4⋊C4C22×D414yes—
1560C4⋊C4C22×D414yes—
1561C4⋊C4C22×D414yes—
1562C4⋊C4C22×D414yes—
1563C4⋊C4C22×D414yes—
1564C4⋊C4C22×D414yes—
1565C22⋊C4—24no—
1566C22⋊C4—24no—
1567C22⋊C4—24no—
1568C22⋊C4—24no—
1569C22⋊C4—24no—
1570C22⋊C4—24no—
1571C22⋊C4—24no—
1572C22⋊C4—24no—
1573C22⋊C4—24no—
1574C22⋊C4—28no—
1575C22⋊C4—24no—
1576C22⋊C4—24no—
1577C22⋊C4—24no—
1578C22⋊C4—24no—
1579C22⋊C4—24no—
1580C22⋊C4—24no—
1581C22⋊C4—24no—
1582C22⋊C4—24no—
1583C22⋊C4—24no—
1584C22⋊C4—24no—
1585C22⋊C4—24no—
1586C22⋊C4—24no—
1587C22⋊C4—24no—
1588C22⋊C4—24no—
1589C22⋊C4—24no—
1590C22⋊C4—24no—
1591C22⋊C4—24no—
1592C22⋊C4—24no—
1593C22⋊C4—24no—
1594C22⋊C4—24no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4C22×D414yes—
1619C22⋊C4C22×D414yes—
1620C22⋊C4C22×D414yes—
1621C22⋊C4C22×D414yes—
1622C22⋊C4C22×D414yes—
1623C22⋊C4C22×D414yes—
1624C42—24no—
1625C42—24no—
1626C42—24no—
1627C42—24no—
1628C42—24no—
1629C42—24no—
1630C42—24no—
1631C42—24no—
1632C42—24no—
1633C42—44no—
1634C42—44no—
1635C42—44no—
1636C42—44no—
1637C42C22×D414yes—
1638C42C22×D414yes—
1639C42C22×D414yes—
1640C42C22×D414yes—
1641C42C22×D414yes—
1642C42C22×D414yes—
1643C42C22×D414yes—
1644C42C22×D414yes—
1645C42C22×D414yes—
1646C42C22×D414yes—
1647C23—21no—
1648C23—22no—
1649C23—21no—
1650C23—22no—
1651C23—22no—
1652C23—21no—
1653C23—21no—
1654C23—22no—
1655C23—21no—
1656C23—22no—
1657C23—21no—
1658C23—22no—
1659C23—22no—
1660C23—22no—
1661C23—24no—
1662C23—24no—
1663C23—24no—
1664C23—22no—
1665C23—22no—
1666C23—22no—
1667C23—22no—
1668C23—22no—
1669C23—24no—
1670C23—22no—
1671C23—24no—
1672C23—24no—
1673C23C23×D412yes—
1674C23C23×D412yes—
1675C23C23×D412yes—
1676C23#58514yes—
1677C23C2611yescharacteristic
1678Q8—44no—
1679Q8—44no—
1680Q8—44no—
1681Q8—44no—
1682Q8—48no—
1683Q8—84no—
1684D4—28no—
1685D4—28no—
1686D4—44no—
1687D4—44no—
1688D4—44no—
1689D4—44no—
1690D4—48no—
1691D4—48no—
1692D4—48no—
1693D4—48no—
1694D4—84no—
1695D4—84no—
1696D4—84no—
1697D4—84no—
1698D4—84no—
1699D4—84no—
1700D4—84no—
1701D4—88no—
1702D4—164no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—22no—
1718C2×C4—21no—
1719C2×C4—28no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—24no—
1734C2×C4—24no—
1735C2×C4—24no—
1736C2×C4—24no—
1737C2×C4—24no—
1738C2×C4—24no—
1739C2×C4—24no—
1740C2×C4—24no—
1741C2×C4—24no—
1742C2×C4—24no—
1743C2×C4—24no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—24no—
1749C2×C4—22no—
1750C2×C4—24no—
1751C2×C4—24no—
1752C2×C4—24no—
1753C2×C4—24no—
1754C2×C4—24no—
1755C2×C4—24no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—24no—
1760C2×C4—24no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—44no—
1764C2×C4—44no—
1765C2×C4—44no—
1766C2×C4—44no—
1767C2×C4—44no—
1768C2×C4—44no—
1769C2×C4—44no—
1770C2×C4—44no—
1771C2×C4—48no—
1772C2×C4—48no—
1773C2×C4—48no—
1774C2×C4—48no—
1775C2×C4—48no—
1776C2×C4—84no—
1777C2×C4—84no—
1778C2×C4—84no—
1779C2×C4—84no—
1780C2×C4—84no—
1781C2×C4—84no—
1782C2×C4—88no—
1783C2×C4—84no—
1784C2×C4—84no—
1785C2×C4—84no—
1786C2×C4—84no—
1787C2×C4—164no—
1788C2×C4C23×D412yes—
1789C2×C4C23×D412yes—
1790C2×C4C23×D412yes—
1791C2×C4C23×D412yes—
1792C2×C4C23×D412yes—
1793C2×C4C23×D412yes—
1794C2×C4C23×D412yes—
1795C2×C4C23×D412yes—
1796C2×C4C23×D412yes—
1797C2×C4C23×D412yes—
1798C2×C4C23×D412yes—
1799C2×C4C23×D412yes—
1800C22—24no—
1801C22—24no—
1802C22—22no—
1803C22—22no—
1804C22—22no—
1805C22—22no—
1806C22—22no—
1807C22—22no—
1808C22—22no—
1809C22—22no—
1810C22—42no—
1811C22—42no—
1812C22—42no—
1813C22—42no—
1814C22—44no—
1815C22—44no—
1816C22—44no—
1817C22—44no—
1818C22—44no—
1819C22—44no—
1820C22—42no—
1821C22—42no—
1822C22—42no—
1823C22—42no—
1824C22—42no—
1825C22—42no—
1826C22—42no—
1827C22—42no—
1828C22—42no—
1829C22#344914yes—
1830C22C24×D411yescharacteristic
1831C22C2×#58512yes—
1832C22H(7,𝔽2)11yescharacteristic
1833C222−1+612yes—
1834C222−1+611yescharacteristic
1835C4—22no—
1836C4—22no—
1837C4—22no—
1838C4—22no—
1839C4—22no—
1840C4—22no—
1841C4—22no—
1842C4—22no—
1843C4—22no—
1844C4—22no—
1845C4—22no—
1846C4—22no—
1847C4—44no—
1848C4—44no—
1849C4—44no—
1850C4—44no—
1851C4—42no—
1852C4—42no—
1853C4—42no—
1854C4—42no—
1855C4—42no—
1856C4—42no—
1857C4—42no—
1858C4—42no—
1859C4—42no—
1860C4—42no—
1861C4—42no—
1862C4—42no—
1863C4—42no—
1864C2—24no—
1865C2—42no—
1866C2—42no—
1867C2—82no—
1868C2—82no—
1869C2—82no—
1870C2C2×#344911yescharacteristic
1871C2#6285311yescharacteristic
1872C2#6285911yescharacteristic
1873C2#6305912yes—
1874C2#6306812yes—
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×#3512C2semidirect
2. C2×#3515C2semidirect
3. #42316C2semidirect
4. #42306C2semidirect
5. #42300C2semidirect
6. #42171C2semidirect
7. #42155C2semidirect
8. #42149C2semidirect
9. #41991C2semidirect
10. #41944C2semidirect
11. #41937C2semidirect
12. #41425C2semidirect
13. #41420C2semidirect
14. #41413C2semidirect
15. #41408C2semidirect
16. #40531C2semidirect
17. #40518C2semidirect
18. #37608C2semidirect
19. #37607C2semidirect
20. #37607C2semidirect
21. #37555C2semidirect
22. #37554C2semidirect
23. #37549C2semidirect
24. #37541C2semidirect
25. #37541C2semidirect
26. #37539C2semidirect
27. #36699C2semidirect
28. #36684C2semidirect
29. C2×#2822C2semidirect
30. #36070C2semidirect
31. #36045C2semidirect
32. #36001C2semidirect
33. #35953C2semidirect
34. #35807C2semidirect
35. #34191C2semidirect
461. C4×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35122
C2×#35152
#423162
#423062
#423002
#421712
#421552
#421492
#419912
#419442
#419372
#414252
#414202
#414132
#414082
#405312
#405182
#376082
#376072
#375552
#375542
#375492
#375412
#375392
#366992
#366842
C2×#28222
#360702
#360452
#360012
#359532
#358072
#341912