Finite Group Databasebeta

← #7720058

Subgroups — #7720058

Order 512.

6791 conjugacy classes of subgroups.

The subgroup lattice has 1945 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3544C211yesmaximal, characteristic, complemented
2C2×#3480C211yesmaximal, characteristic, complemented
3#51317C214yesmaximal, complemented
4#51316C214yesmaximal, complemented
5#51205C214yesmaximal, complemented
6#51202C214yesmaximal, complemented
7#45316C212yesmaximal, complemented
8#45274C212yesmaximal, complemented
9#45265C212yesmaximal, complemented
10#45261C212yesmaximal, complemented
11#45255C212yesmaximal, complemented
12#45051C212yesmaximal, complemented
13#44973C212yesmaximal, complemented
14#44930C212yesmaximal, complemented
15#39471C212yesmaximal, complemented
16#39470C211yesmaximal, characteristic, complemented
17#39469C211yesmaximal, characteristic, complemented
18#39463C212yesmaximal, complemented
19#39126C211yesmaximal, characteristic, complemented
20#39125C211yesmaximal, characteristic, complemented
21#38048C212yesmaximal, complemented
22#38041C212yesmaximal, complemented
23#37281C212yesmaximal, complemented
24#37280C212yesmaximal, complemented
25#36544C211yesmaximal, characteristic, complemented
26Q8×C22⋊Q8C211yesmaximal, characteristic, complemented
27#36411C211yesmaximal, characteristic, complemented
28#36275C211yesmaximal, characteristic, complemented
29#35279C211yesmaximal, characteristic, complemented
30#35279C211yesmaximal, characteristic, complemented
31#35258C212yesmaximal, complemented
32#35257C212yesmaximal, complemented
33#35189C211yesmaximal, characteristic, complemented
34#34614C211yesmaximal, characteristic, complemented
35#34383C211yesmaximal, characteristic, complemented
36#3544—216no—
37C2×#563C2214yes—
38#3480—216no—
39C2×#559C2212yes—
40C2×#559C2211yescharacteristic
41C2×Q82C2211yescharacteristic
42C2×#557C2211yescharacteristic
43C2×#556C2212yes—
44C2×#556C2211yescharacteristic
45C2×#555C2211yescharacteristic
46C2×#554C2211yescharacteristic
47C2×#554C2211yescharacteristic
48C2×#553C2212yes—
49C2×#553C2212yes—
50C2×#553C2211yescharacteristic
51C2×#553C2211yescharacteristic
52C2×#552C2212yes—
53C2×#552C2212yes—
54C2×#550C2211yescharacteristic
55C2×#548C2211yescharacteristic
56C2×#548C2211yescharacteristic
57C2×#547C2212yes—
58C2×#547C2212yes—
59C2×#544C2212yes—
60C2×#544C2212yes—
61C2×#542C2212yes—
62C2×#542C2212yes—
63C2×#536C2214yes—
64C2×#532C2212yes—
65C2×#532C2211yescharacteristic
66C22×C4⋊Q8C2211yescharacteristic
67C2×#529C2211yescharacteristic
68C2×#529C2212yes—
69C2×#529C2212yes—
70C2×#529C2211yescharacteristic
71C2×#529C2211yescharacteristic
72C2×C4×#41C2211yescharacteristic
73C2×C4×#41C2211yescharacteristic
74C2×C4×#41C2211yescharacteristic
75C2×C4×#41C2212yes—
76C22×C4×Q8C2211yescharacteristic
77#2857C2211yescharacteristic
78#2857C2211yescharacteristic
79#2857C2212yes—
80#2857C2211yescharacteristic
81#2857C2212yes—
82#2857C2212yes—
83#2857C2211yescharacteristic
84#2855C2212yes—
85#2854C2212yes—
86#2851C2212yes—
87#2851C2212yes—
88#2850C2212yes—
89#2727C2214yes—
90#2724C2214yes—
91#2723C2214yes—
92#2721C2214yes—
93#2720C2214yes—
94#2718C2214yes—
95#2718C2214yes—
96#2716C2214yes—
97#2713C2214yes—
98#2713C2214yes—
99#2712C2214yes—
100#2712C2214yes—
101#2711C2214yes—
102#2710C2214yes—
103#2710C2214yes—
104#2710C2214yes—
105#2709C2214yes—
106#2708C2214yes—
107#2704C2214yes—
108#2703C2214yes—
109#2703C2214yes—
110#2702C2214yes—
111#2702C2214yes—
112#2701C2214yes—
113#2700C2214yes—
114#2700C2214yes—
115#2698C2214yes—
116#2695C2214yes—
117#2690C2214yes—
118#2689C2214yes—
119#2681C2214yes—
120#2681C2214yes—
121#2681C2214yes—
122#2680C2214yes—
123#2676C2214yes—
124#2674C2214yes—
125#2674C2214yes—
126#2672C2214yes—
127#2672C2214yes—
128#2671C2214yes—
129#2637C2212yes—
130#2636C2212yes—
131#2630C2212yes—
132#2630C2212yes—
133#2630C2214yes—
134#2629C2211yescharacteristic
135#2629C2211yescharacteristic
136#2629C2212yes—
137#2628C2214yes—
138#2628C2212yes—
139#2628C2212yes—
140#2628C2212yes—
141#2625C2211yescharacteristic
142#2624C2211yescharacteristic
143#2620C2211yescharacteristic
144#2620C2211yescharacteristic
145#2616C2211yescharacteristic
146#2616C2212yes—
147#2615C2212yes—
148#2615C2211yescharacteristic
149#2601C2214yes—
150#2584C2212yes—
151#2582C2211yescharacteristic
152#2582C2212yes—
153#2580C2212yes—
154#2568C2212yes—
155#2568C2212yes—
156#2567C2211yescharacteristic
157#2567C2212yes—
158#2567C2211yescharacteristic
159#2567C2212yes—
160#2563C2212yes—
161#2563C2211yescharacteristic
162#2563C2211yescharacteristic
163#2562C2212yes—
164#2559C2214yes—
165#2550C2212yes—
166#2550C2212yes—
167#2547C2212yes—
168#2542C2212yes—
169#2542C2212yes—
170#2540C2214yes—
171#2538C2211yescharacteristic
172#2538C2211yescharacteristic
173#2537C2211yescharacteristic
174#2537C2212yes—
175#2536C2212yes—
176#2536C2212yes—
177#2535C2212yes—
178#2521C2214yes—
179#2519C2214yes—
180#2506C2214yes—
181#2501C2214yes—
182#2492C2214yes—
183#2491C2212yes—
184#2490C2212yes—
185#2488C2214yes—
186#2487C2212yes—
187#2487C2212yes—
188#2487C2212yes—
189#2487C2212yes—
190#2487C2212yes—
191#2486C2212yes—
192#2485C2212yes—
193#2485C2212yes—
194#2485C2212yes—
195#2478C2214yes—
196#2476C2214yes—
197#2474C2214yes—
198#2474C2214yes—
199#2474C2214yes—
200#2469C2214yes—
201#2467C2214yes—
202#2465C2214yes—
203#2465C2214yes—
204#2463C2214yes—
205#2461C2214yes—
206#2461C2214yes—
207#2459C2214yes—
208#2457C2214yes—
209#2455C2214yes—
210#2454C2214yes—
211#2453C2214yes—
212#2453C2212yes—
213#2452C2214yes—
214#2451C2214yes—
215#2451C2214yes—
216#2451C2212yes—
217#2450C2214yes—
218#2450C2214yes—
219#2449C2214yes—
220#2449C2214yes—
221#2449C2214yes—
222#2449C2214yes—
223#2448C2212yes—
224#2445C2212yes—
225#2442C2212yes—
226#2441C2212yes—
227#2440C2214yes—
228#2440C2212yes—
229#2439C2212yes—
230#2438C2214yes—
231#2431C2214yes—
232#2430C2214yes—
233#2428C2212yes—
234#2426C2212yes—
235#2423C2212yes—
236#2422C2212yes—
237#2421C2212yes—
238#2420C2212yes—
239#2417C2212yes—
240#2416C2212yes—
241#2416C2212yes—
242#2415C2212yes—
243#2415C2212yes—
244#2414C2212yes—
245#2414C2212yes—
246#2414C2212yes—
247#2409C2212yes—
248#2409C2212yes—
249#2409C2214yes—
250#2409C2212yes—
251#2407C2212yes—
252#2407C2214yes—
253#2407C2212yes—
254#2406C2214yes—
255#2396C2212yes—
256#2392C2212yes—
257#2392C2212yes—
258#2392C2212yes—
259#2376C2214yes—
260#2370C2212yes—
261#2367C2212yes—
262#2362C2212yes—
263#2360C2212yes—
264#2355C2211yescharacteristic
265#2354C2211yescharacteristic
266#2354C2212yes—
267#2354C2212yes—
268#2352C2212yes—
269Q8×C4⋊C4C2211yescharacteristic
270Q8×C4⋊C4C2212yes—
271D4×C4⋊C4C2211yescharacteristic
272D4×C4⋊C4C2212yes—
273D4×C4⋊C4C2212yes—
274Q8×C22⋊C4C2212yes—
275#2339C2212yes—
276#2334C2214yes—
277#2324C2212yes—
278#2324C2212yes—
279#2324C2212yes—
280#2323C2212yes—
281#2323C2212yes—
282#2323C2212yes—
283#2317C2212yes—
284#2317C2212yes—
285#2317C2212yes—
286#2314C2212yes—
287#2311C2212yes—
288#2311C2212yes—
289#2311C2212yes—
290#2311C2212yes—
291C4×C22⋊Q8C2212yes—
292C4×C22⋊Q8C2211yescharacteristic
293C4×C22⋊Q8C2211yescharacteristic
294C4×#121C2211yescharacteristic
295C4×#121C2212yes—
296C4×#121C2211yescharacteristic
297#2296C2212yes—
298C2×#389C2212yes—
299#2285C2211yescharacteristic
300#2285C2211yescharacteristic
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2314yes—
306C23×Q8C2311yescharacteristic
307C23×Q8C2312yes—
308#563—232no—
309#559—28no—
310#559—216no—
311Q82—28no—
312#557—28no—
313#556—216no—
314#556—28no—
315#555—28no—
316#554—28no—
317#554—28no—
318#553—216no—
319#553—28no—
320#553—216no—
321#553—28no—
322#552—216no—
323#552—216no—
324#550—28no—
325#548—28no—
326#548—28no—
327#547—216no—
328#547—216no—
329#544—216no—
330#544—216no—
331#542—216no—
332#542—216no—
333#536—232no—
334#532—216no—
335#532—28no—
336C2×C4⋊Q8—28no—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2314yes—
344C2×C4⋊Q8C2314yes—
345C2×C4⋊Q8C2311yescharacteristic
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2312yes—
348C2×#127C2311yescharacteristic
349C2×#127C2312yes—
350#529—28no—
351#529—216no—
352#529—216no—
353#529—28no—
354#529D4116yescomplemented
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#126C2312yes—
361C2×#126C2314yes—
362C2×#126C2314yes—
363C2×#126C2312yes—
364C2×#125C2312yes—
365C2×#125C2311yescharacteristic
366C2×#125C2311yescharacteristic
367C2×#125C2312yes—
368C2×#125C2312yes—
369C2×#125C2314yes—
370C2×#125C2312yes—
371C2×#125C2314yes—
372C2×#125C2311yescharacteristic
373C2×#124C2311yescharacteristic
374C2×#124C2311yescharacteristic
375C2×#124C2312yes—
376C2×#124C2312yes—
377C2×#124C2314yes—
378C2×#124C2312yes—
379C2×#124C2312yes—
380C2×#124C2312yes—
381C2×#124C2314yes—
382C2×#124C2314yes—
383C2×#124C2311yescharacteristic
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2314yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×#123C2314yes—
394C2×#123C2314yes—
395C2×#123C2314yes—
396C2×#123C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2311yescharacteristic
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2314yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2311yescharacteristic
421C2×#121C2312yes—
422C2×#121C2311yescharacteristic
423C2×#121C2311yescharacteristic
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2311yescharacteristic
427C2×#121C2312yes—
428C2×#121C2311yescharacteristic
429C2×#121C2312yes—
430C2×#121C2311yescharacteristic
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2311yescharacteristic
438C2×#121C2314yes—
439C2×#121C2314yes—
440C2×#121C2311yescharacteristic
441C4×#41—28no—
442C4×#41—216no—
443C4×#41—28no—
444C4×#41—28no—
445C2×C4×Q8—28no—
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2312yes—
460C2×C4×Q8C2312yes—
461C2×C4×Q8C2311yescharacteristic
462C2×C4×D4C2312yes—
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2312yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2314yes—
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2312yes—
493C2×#117C2312yes—
494C2×#117C2311yescharacteristic
495C2×#117C2311yescharacteristic
496C2×#117C2312yes—
497C2×#117C2312yes—
498C2×#117C2312yes—
499C2×#117C2311yescharacteristic
500C2×#117C2312yes—
501C2×#117C2311yescharacteristic
502C2×#117C2311yescharacteristic
503C2×#117C2312yes—
504C2×#117C2314yes—
505C2×#117C2312yes—
506C2×#117C2312yes—
507C2×#117C2312yes—
508C2×#117C2312yes—
509C22×C4⋊C4C2312yes—
510C22×C4⋊C4C2312yes—
511C22×C4⋊C4C2312yes—
512C22×C4⋊C4C2311yescharacteristic
513C22×C4⋊C4C2312yes—
514C22×C4⋊C4C2312yes—
515C22×C4⋊C4C2312yes—
516C22×C4⋊C4C2314yes—
517C22×C42C2312yes—
518C22×C42C2312yes—
519C22×C42C2312yes—
520C22×C42C2311yescharacteristic
521C22×C42C2311yescharacteristic
522C22×C42C2311yescharacteristic
523#400C2314yes—
524#400C2314yes—
525#400C2314yes—
526#400C2314yes—
527#400C2314yes—
528#400C2312yes—
529#400C2314yes—
530#400C2314yes—
531#399C2314yes—
532#399C2312yes—
533#399C2314yes—
534#399C2314yes—
535#399C2314yes—
536#399C2314yes—
537#399C2314yes—
538#399C2314yes—
539#398C2314yes—
540#398C2314yes—
541#398C2314yes—
542#398C2314yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2314yes—
549#398C2314yes—
550#398C2314yes—
551#398C2314yes—
552#398C2314yes—
553#397C2312yes—
554#397C2312yes—
555#397C2312yes—
556#397C2314yes—
557#397C2314yes—
558#397C2314yes—
559#397C2314yes—
560#397C2314yes—
561#397C2314yes—
562#397C2314yes—
563#396C2314yes—
564#396C2314yes—
565#396C2312yes—
566#396C2312yes—
567#396C2312yes—
568#396C2312yes—
569#396C2312yes—
570#396C2312yes—
571#396C2312yes—
572#396C2312yes—
573#396C2314yes—
574#396C2314yes—
575#396C2314yes—
576#396C2314yes—
577#395C2314yes—
578#395C2314yes—
579#395C2314yes—
580#395C2314yes—
581#395C2314yes—
582#395C2314yes—
583#395C2314yes—
584#395C2312yes—
585#395C2314yes—
586#395C2314yes—
587#394C2314yes—
588#394C2314yes—
589#394C2312yes—
590#394C2312yes—
591#394C2312yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2312yes—
596#394C2312yes—
597#394C2312yes—
598#394C2312yes—
599#394C2312yes—
600#394C2312yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#393C2314yes—
612#393C2314yes—
613#393C2314yes—
614#393C2314yes—
615#393C2314yes—
616#393C2312yes—
617#393C2314yes—
618#393C2314yes—
619#392C2312yes—
620#392C2312yes—
621#392C2312yes—
622#392C2314yes—
623#392C2314yes—
624#392C2314yes—
625#392C2314yes—
626#392C2314yes—
627#391C2312yes—
628#391C2312yes—
629#391C2314yes—
630#391C2314yes—
631#391C2314yes—
632#391C2314yes—
633#391C2312yes—
634#391C2312yes—
635#391C2314yes—
636#391C2314yes—
637#391C2312yes—
638#391C2312yes—
639#391C2311yescharacteristic
640#391C2312yes—
641#391C2312yes—
642#391C2312yes—
643#391C2311yescharacteristic
644#391C2314yes—
645#391C2314yes—
646#391C2314yes—
647#390C2312yes—
648#390C2312yes—
649#390C2314yes—
650#390C2314yes—
651#390C2314yes—
652#390C2311yescharacteristic
653#390C2314yes—
654#390C2312yes—
655#390C2314yes—
656#390C2312yes—
657#390C2314yes—
658#390C2311yescharacteristic
659#390C2312yes—
660#390C2314yes—
661#389C2312yes—
662#389C2311yescharacteristic
663#389C2312yes—
664#389C2312yes—
665#389C2312yes—
666#389C2312yes—
667#389C2312yes—
668#389C2312yes—
669#389C2312yes—
670#389C2312yes—
671#389C2312yes—
672#389C2314yes—
673#389C2312yes—
674#389C2312yes—
675#389C2312yes—
676#389C2314yes—
677#389C2314yes—
678#389C2314yes—
679#389C2314yes—
680#389C2312yes—
681#389C2314yes—
682#389C2312yes—
683#389C2312yes—
684#389C2312yes—
685#389C2314yes—
686#389C2311yescharacteristic
687#389C2312yes—
688#389C2314yes—
689#389C2314yes—
690#389C2314yes—
691#389C2314yes—
692#389C2311yescharacteristic
693#389C2311yescharacteristic
694#389C2314yes—
695#389C2314yes—
696#389C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2312yes—
717#388C2312yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2312yes—
736#387C2312yes—
737#387C2314yes—
738#387C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2312yes—
755#386C2312yes—
756#386C2314yes—
757#386C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2312yes—
775#385C2312yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#384C2312yes—
780#384C2312yes—
781#384C2314yes—
782#384C2314yes—
783#384C2311yescharacteristic
784#384C2311yescharacteristic
785#384C2312yes—
786#384C2311yescharacteristic
787#384C2311yescharacteristic
788#382C2312yes—
789#382C2312yes—
790#382C2314yes—
791#382C2312yes—
792#382C2312yes—
793#382C2312yes—
794#381C2314yes—
795#381C2314yes—
796#380C2311yescharacteristic
797#380C2312yes—
798#380C2312yes—
799#380C2312yes—
800#380C2312yes—
801#380C2312yes—
802#380C2312yes—
803#380C2312yes—
804#380C2312yes—
805#380C2312yes—
806#380C2312yes—
807#380C2311yescharacteristic
808#380C2312yes—
809#380C2312yes—
810#380C2311yescharacteristic
811#380C2312yes—
812#380C2312yes—
813#380C2314yes—
814#380C2314yes—
815#380C2312yes—
816#380C2312yes—
817#380C2312yes—
818#380C2312yes—
819#380C2312yes—
820#380C2314yes—
821#380C2314yes—
822#380C2311yescharacteristic
823#380C2311yescharacteristic
824#380C2311yescharacteristic
825#380C2312yes—
826#380C2312yes—
827#380C2314yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2311yescharacteristic
831C4×C4⋊C4C2311yescharacteristic
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2314yes—
838C4×C4⋊C4C2312yes—
839C4×C4⋊C4C2312yes—
840C4×C4⋊C4C2314yes—
841C4×C4⋊C4C2314yes—
842C4×C4⋊C4C2314yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2314yes—
849C4×C22⋊C4C2312yes—
850C2×#95C2314yes—
851C2×#41—24no—
852C2×#41—24no—
853C2×#41—24no—
854C2×#41—216no—
855C2×#41—28no—
856C2×#41—24no—
857C2×#41—24no—
858C2×#41—28no—
859C2×#41—24no—
860C2×#41—44no—
861C2×#41—42no—
862C2×#41—42no—
863C2×#41—42no—
864C2×#41—84no—
865C2×#41—84no—
866C22×Q8—24no—
867C22×Q8—24no—
868C22×Q8—28no—
869C22×Q8—42no—
870C22×Q8—82no—
871C22×Q8—82no—
872C22×Q8C2411yescharacteristic
873C22×Q8C2412yes—
874C22×Q8C2411yescharacteristic
875C22×Q8C2412yes—
876C22×Q8C2411yescharacteristic
877C22×Q8C2411yescharacteristic
878C22×Q8C2412yes—
879C22×Q8C2414yes—
880C22×Q8C2414yes—
881C22×Q8C2412yes—
882C22×D4C2411yescharacteristic
883C22×D4C2411yescharacteristic
884C22×D4C2411yescharacteristic
885C22×D4C2412yes—
886C22×D4C2411yescharacteristic
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2411yescharacteristic
891C22×D4C2412yes—
892C22×D4C2411yescharacteristic
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2414yes—
898C22×D4C2412yes—
899C22×D4C2414yes—
900C22×D4C2412yes—
901C23×C4C2412yes—
902C23×C4C2411yescharacteristic
903C23×C4C2411yescharacteristic
904C23×C4C2412yes—
905C23×C4C2411yescharacteristic
906C23×C4C2412yes—
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2412yes—
910C23×C4C2411yescharacteristic
911C23×C4C2411yescharacteristic
912C23×C4C2411yescharacteristic
913C23×C4C2414yes—
914C23×C4C2412yes—
915C23×C4C2412yes—
916C23×C4C2411yescharacteristic
917C23×C4C2414yes—
918C23×C4C2414yes—
919C23×C4C2412yes—
920C23×C4C2411yescharacteristic
921C23×C4C2414yes—
922C23×C4C2411yescharacteristic
923C4⋊Q8—28no—
924C4⋊Q8—24no—
925C4⋊Q8—216no—
926C4⋊Q8—216no—
927C4⋊Q8—28no—
928C4⋊Q8—28no—
929C4⋊Q8—28no—
930C4⋊Q8—24no—
931C4⋊Q8—24no—
932C4⋊Q8—28no—
933C4⋊Q8—28no—
934#127—28no—
935#127—24no—
936#126—28no—
937#126—28no—
938#126—28no—
939#126—216no—
940#126—28no—
941#126—28no—
942#126—216no—
943#126—28no—
944#126C2×D4116yes—
945#125—28no—
946#125—28no—
947#125—24no—
948#125—28no—
949#125—216no—
950#125—216no—
951#125—24no—
952#125—28no—
953#125C2×D418yes—
954#124—24no—
955#124—28no—
956#124—28no—
957#124—28no—
958#124—28no—
959#124—28no—
960#124—216no—
961#124—216no—
962#124—24no—
963#124—84no—
964#124C2×D418yes—
965#123—28no—
966#123—216no—
967#123—28no—
968#123—28no—
969#123—28no—
970#123—28no—
971#123—28no—
972#123—216no—
973#123—216no—
974#123—216no—
975#123—84no—
976#123—84no—
977#123C2×D4116yes—
978C22⋊Q8—24no—
979C22⋊Q8—28no—
980C22⋊Q8—28no—
981C22⋊Q8—24no—
982C22⋊Q8—28no—
983C22⋊Q8—24no—
984C22⋊Q8—28no—
985C22⋊Q8—216no—
986C22⋊Q8—216no—
987C22⋊Q8—216no—
988C22⋊Q8—28no—
989C22⋊Q8—216no—
990C22⋊Q8—216no—
991C22⋊Q8—216no—
992C22⋊Q8—42no—
993C22⋊Q8—44no—
994C22⋊Q8—82no—
995C22⋊Q8—82no—
996C22⋊Q8—84no—
997C22⋊Q8—84no—
998C22⋊Q8—82no—
999C22⋊Q8—84no—
1000C22⋊Q8—82no—
1001C22⋊Q8C2×D418yes—
1002#121—28no—
1003#121—24no—
1004#121—28no—
1005#121—28no—
1006#121—24no—
1007#121—28no—
1008#121—24no—
1009#121—24no—
1010#121—24no—
1011#121—28no—
1012#121—28no—
1013#121—28no—
1014#121—28no—
1015#121—28no—
1016#121—44no—
1017#121—42no—
1018#121—44no—
1019#121—84no—
1020#121—84no—
1021#121C2×D418yes—
1022C4×Q8—24no—
1023C4×Q8—28no—
1024C4×Q8—24no—
1025C4×Q8—28no—
1026C4×Q8—24no—
1027C4×Q8—28no—
1028C4×Q8—28no—
1029C4×Q8—24no—
1030C4×Q8—28no—
1031C4×Q8—24no—
1032C4×Q8—24no—
1033C4×Q8—24no—
1034C4×Q8—24no—
1035C4×Q8—28no—
1036C4×Q8—44no—
1037C4×Q8C2×D418yes—
1038C4×D4—24no—
1039C4×D4—28no—
1040C4×D4—28no—
1041C4×D4—28no—
1042C4×D4—24no—
1043C4×D4—24no—
1044C4×D4—24no—
1045C4×D4—28no—
1046C4×D4—24no—
1047C4×D4—28no—
1048C4×D4—28no—
1049C4×D4—28no—
1050C4×D4—28no—
1051C4×D4—28no—
1052C4×D4—28no—
1053C4×D4—28no—
1054C4×D4—28no—
1055C4×D4—28no—
1056C4×D4—24no—
1057C4×D4—24no—
1058C4×D4—24no—
1059C4×D4—24no—
1060C4×D4—28no—
1061C4×D4—24no—
1062C4×D4—28no—
1063C4×D4—44no—
1064C4×D4—44no—
1065C4×D4—44no—
1066C4×D4—84no—
1067C4×D4C2×D418yes—
1068C4×D4C2×D4116yes—
1069#117—24no—
1070#117—24no—
1071#117—28no—
1072#117—24no—
1073#117—28no—
1074#117—28no—
1075#117—216no—
1076#117—24no—
1077#117—28no—
1078#117—24no—
1079#117—28no—
1080#117—28no—
1081#117—44no—
1082#117—44no—
1083#117—44no—
1084#117C2×D4116yes—
1085C2×C4⋊C4—28no—
1086C2×C4⋊C4—28no—
1087C2×C4⋊C4—28no—
1088C2×C4⋊C4—28no—
1089C2×C4⋊C4—24no—
1090C2×C4⋊C4—28no—
1091C2×C4⋊C4—44no—
1092C2×C4⋊C4—84no—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2414yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2414yes—
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2411yescharacteristic
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2411yescharacteristic
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2412yes—
1168C2×C4⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2411yescharacteristic
1171C2×C22⋊C4C2411yescharacteristic
1172C2×C22⋊C4C2411yescharacteristic
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2411yescharacteristic
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2411yescharacteristic
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C42—28no—
1233C2×C42—28no—
1234C2×C42—24no—
1235C2×C42—24no—
1236C2×C42—28no—
1237C2×C42C2×D418yes—
1238C2×C42C2411yescharacteristic
1239C2×C42C2414yes—
1240C2×C42C2411yescharacteristic
1241C2×C42C2412yes—
1242C2×C42C2412yes—
1243C2×C42C2411yescharacteristic
1244C2×C42C2412yes—
1245C2×C42C2412yes—
1246C2×C42C2412yes—
1247C2×C42C2414yes—
1248C2×C42C2411yescharacteristic
1249C2×C42C2412yes—
1250C2×C42C2412yes—
1251C2×C42C2412yes—
1252C2×C42C2412yes—
1253C2×C42C2411yescharacteristic
1254C2×C42C2411yescharacteristic
1255C2×C42C2412yes—
1256C2×C42C2414yes—
1257C2×C42C2414yes—
1258C2×C42C2414yes—
1259C2×C42C2414yes—
1260C2×C42C2411yescharacteristic
1261C2×C42C2412yes—
1262C2×C42C2411yescharacteristic
1263C2×C42C2411yescharacteristic
1264C2×C42C2411yescharacteristic
1265#95C2412yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2414yes—
1272#95C2412yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2414yes—
1284#95C2412yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2412yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2412yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2412yes—
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—
1311C24C2512yes—
1312C24C2511yescharacteristic
1313C24C2512yes—
1314C24C2511yescharacteristic
1315C24C2512yes—
1316C24C2511yescharacteristic
1317#41—432no—
1318#41—416no—
1319#41—416no—
1320#41—416no—
1321#41—832no—
1322C2×Q8—22no—
1323C2×Q8—22no—
1324C2×Q8—24no—
1325C2×Q8—24no—
1326C2×Q8—22no—
1327C2×Q8—24no—
1328C2×Q8—28no—
1329C2×Q8—28no—
1330C2×Q8—24no—
1331C2×Q8—22no—
1332C2×Q8—22no—
1333C2×Q8—24no—
1334C2×Q8—22no—
1335C2×Q8—24no—
1336C2×Q8—22no—
1337C2×Q8—22no—
1338C2×Q8—22no—
1339C2×Q8—42no—
1340C2×Q8—41no—
1341C2×Q8—42no—
1342C2×Q8—42no—
1343C2×Q8—42no—
1344C2×Q8—44no—
1345C2×Q8—44no—
1346C2×Q8—42no—
1347C2×Q8—42no—
1348C2×Q8—44no—
1349C2×Q8—44no—
1350C2×Q8—416no—
1351C2×Q8—816no—
1352C2×Q8C22×D414yes—
1353C2×Q82−1+414yes—
1354C2×D4—24no—
1355C2×D4—22no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—24no—
1359C2×D4—22no—
1360C2×D4—24no—
1361C2×D4—24no—
1362C2×D4—22no—
1363C2×D4—24no—
1364C2×D4—22no—
1365C2×D4—24no—
1366C2×D4—24no—
1367C2×D4—28no—
1368C2×D4—22no—
1369C2×D4—24no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—24no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—24no—
1376C2×D4—24no—
1377C2×D4—22no—
1378C2×D4—24no—
1379C2×D4—22no—
1380C2×D4—22no—
1381C2×D4—22no—
1382C2×D4—22no—
1383C2×D4—42no—
1384C2×D4—42no—
1385C2×D4—41no—
1386C2×D4—42no—
1387C2×D4—41no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—42no—
1391C2×D4—41no—
1392C2×D4—42no—
1393C2×D4—42no—
1394C2×D4—42no—
1395C2×D4—42no—
1396C2×D4—42no—
1397C2×D4—42no—
1398C2×D4—42no—
1399C2×D4—42no—
1400C2×D4—42no—
1401C2×D4—42no—
1402C2×D4—44no—
1403C2×D4—42no—
1404C2×D4—44no—
1405C2×D4—42no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4C22×D414yes—
1410C2×D4C22×D418yes—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—24no—
1414C22×C4—22no—
1415C22×C4—24no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—24no—
1420C22×C4—28no—
1421C22×C4—24no—
1422C22×C4—28no—
1423C22×C4—24no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—24no—
1427C22×C4—24no—
1428C22×C4—22no—
1429C22×C4—24no—
1430C22×C4—24no—
1431C22×C4—24no—
1432C22×C4—22no—
1433C22×C4—24no—
1434C22×C4—24no—
1435C22×C4—22no—
1436C22×C4—24no—
1437C22×C4—22no—
1438C22×C4—24no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—22no—
1442C22×C4—24no—
1443C22×C4—24no—
1444C22×C4—22no—
1445C22×C4—24no—
1446C22×C4—22no—
1447C22×C4—28no—
1448C22×C4—42no—
1449C22×C4—41no—
1450C22×C4—41no—
1451C22×C4—44no—
1452C22×C4—44no—
1453C22×C4—42no—
1454C22×C4—42no—
1455C22×C4—44no—
1456C22×C4—42no—
1457C22×C4—44no—
1458C22×C4—44no—
1459C22×C4—44no—
1460C22×C4—42no—
1461C22×C4—44no—
1462C22×C4—44no—
1463C22×C4—42no—
1464C22×C4—42no—
1465C22×C4—41no—
1466C22×C4—41no—
1467C22×C4—41no—
1468C22×C4—42no—
1469C22×C4—41no—
1470C22×C4—42no—
1471C22×C4—44no—
1472C22×C4C22×D418yes—
1473C22×C4C22×D414yes—
1474C22×C4C22×D414yes—
1475C22×C4C22×D414yes—
1476C22×C42−1+414yes—
1477C22×C4C2512yes—
1478C22×C4C2511yescharacteristic
1479C22×C4C2512yes—
1480C22×C4C2514yes—
1481C22×C4C2511yescharacteristic
1482C22×C4C2514yes—
1483C22×C4C2511yescharacteristic
1484C22×C4C2512yes—
1485C22×C4C2512yes—
1486C22×C4C2512yes—
1487C22×C4C2512yes—
1488C22×C4C2512yes—
1489C22×C4C2514yes—
1490C22×C4C2512yes—
1491C22×C4C2514yes—
1492C22×C4C2511yescharacteristic
1493C22×C4C2512yes—
1494C22×C4C2511yescharacteristic
1495C22×C4C2512yes—
1496C22×C4C2511yescharacteristic
1497C22×C4C2512yes—
1498C22×C4C2511yescharacteristic
1499C22×C4C2511yescharacteristic
1500C22×C4C2511yescharacteristic
1501C22×C4C2512yes—
1502C22×C4C2511yescharacteristic
1503C22×C4C2512yes—
1504C22×C4C2511yescharacteristic
1505C22×C4C2511yescharacteristic
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—22no—
1509C4⋊C4—24no—
1510C4⋊C4—22no—
1511C4⋊C4—24no—
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—24no—
1515C4⋊C4—24no—
1516C4⋊C4—28no—
1517C4⋊C4—28no—
1518C4⋊C4—28no—
1519C4⋊C4—28no—
1520C4⋊C4—22no—
1521C4⋊C4—22no—
1522C4⋊C4—22no—
1523C4⋊C4—24no—
1524C4⋊C4—24no—
1525C4⋊C4—22no—
1526C4⋊C4—22no—
1527C4⋊C4—24no—
1528C4⋊C4—22no—
1529C4⋊C4—24no—
1530C4⋊C4—22no—
1531C4⋊C4—22no—
1532C4⋊C4—28no—
1533C4⋊C4—28no—
1534C4⋊C4—24no—
1535C4⋊C4—24no—
1536C4⋊C4—24no—
1537C4⋊C4—24no—
1538C4⋊C4—24no—
1539C4⋊C4—24no—
1540C4⋊C4—28no—
1541C4⋊C4—28no—
1542C4⋊C4—22no—
1543C4⋊C4—22no—
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—28no—
1547C4⋊C4—22no—
1548C4⋊C4—24no—
1549C4⋊C4—22no—
1550C4⋊C4—24no—
1551C4⋊C4—24no—
1552C4⋊C4—44no—
1553C4⋊C4—42no—
1554C4⋊C4—44no—
1555C4⋊C4—44no—
1556C4⋊C4—44no—
1557C4⋊C4—42no—
1558C4⋊C4—42no—
1559C4⋊C4—42no—
1560C4⋊C4—42no—
1561C4⋊C4—44no—
1562C4⋊C4—44no—
1563C4⋊C4—44no—
1564C4⋊C4—44no—
1565C4⋊C4—44no—
1566C4⋊C4—42no—
1567C4⋊C4—42no—
1568C4⋊C4—42no—
1569C4⋊C4—42no—
1570C4⋊C4—42no—
1571C4⋊C4—44no—
1572C4⋊C4—44no—
1573C4⋊C4—44no—
1574C4⋊C4—44no—
1575C4⋊C4—42no—
1576C4⋊C4C22×D414yes—
1577C4⋊C4C22×D418yes—
1578C4⋊C4C22×D414yes—
1579C4⋊C4C22×D418yes—
1580C4⋊C4C22×D418yes—
1581C4⋊C4C22×D418yes—
1582C22⋊C4—24no—
1583C22⋊C4—22no—
1584C22⋊C4—24no—
1585C22⋊C4—24no—
1586C22⋊C4—22no—
1587C22⋊C4—28no—
1588C22⋊C4—24no—
1589C22⋊C4—28no—
1590C22⋊C4—24no—
1591C22⋊C4—22no—
1592C22⋊C4—22no—
1593C22⋊C4—24no—
1594C22⋊C4—22no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—24no—
1599C22⋊C4—22no—
1600C22⋊C4—24no—
1601C22⋊C4—28no—
1602C22⋊C4—24no—
1603C22⋊C4—24no—
1604C22⋊C4—24no—
1605C22⋊C4—24no—
1606C22⋊C4—28no—
1607C22⋊C4—24no—
1608C22⋊C4—24no—
1609C22⋊C4—24no—
1610C22⋊C4—28no—
1611C22⋊C4—42no—
1612C22⋊C4—42no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—42no—
1616C22⋊C4—42no—
1617C22⋊C4—44no—
1618C22⋊C4—42no—
1619C22⋊C4—42no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—42no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—42no—
1626C22⋊C4—44no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—44no—
1630C22⋊C4—42no—
1631C22⋊C4—42no—
1632C22⋊C4—44no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
1637C22⋊C4—42no—
1638C22⋊C4—44no—
1639C22⋊C4—42no—
1640C22⋊C4C22×D418yes—
1641C22⋊C4C22×D418yes—
1642C22⋊C4C22×D418yes—
1643C22⋊C4C22×D418yes—
1644C22⋊C4C22×D418yes—
1645C42—22no—
1646C42—24no—
1647C42—22no—
1648C42—24no—
1649C42—24no—
1650C42—22no—
1651C42—24no—
1652C42—24no—
1653C42—22no—
1654C42—24no—
1655C42—22no—
1656C42—24no—
1657C42—22no—
1658C42—28no—
1659C42—24no—
1660C42—28no—
1661C42—24no—
1662C42—24no—
1663C42—44no—
1664C42—44no—
1665C42—44no—
1666C42—44no—
1667C42C22×D414yes—
1668C42C22×D414yes—
1669C42C22×D418yes—
1670C42C22×D414yes—
1671C42C22×D414yes—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—22no—
1676C23—21no—
1677C23—22no—
1678C23—21no—
1679C23—21no—
1680C23—22no—
1681C23—21no—
1682C23—22no—
1683C23—21no—
1684C23—21no—
1685C23—21no—
1686C23—22no—
1687C23—21no—
1688C23—21no—
1689C23—22no—
1690C23—22no—
1691C23—21no—
1692C23—22no—
1693C23—22no—
1694C23—22no—
1695C23—21no—
1696C23—22no—
1697C23—22no—
1698C23—21no—
1699C23—22no—
1700C23—21no—
1701C23—21no—
1702C23—22no—
1703C23—22no—
1704C23—22no—
1705C23—22no—
1706C23—21no—
1707C23—21no—
1708C23—22no—
1709C23—22no—
1710C23—22no—
1711C23C23×D414yes—
1712C23C23×D412yes—
1713C23C2×2−1+412yes—
1714C23C2611yescharacteristic
1715Q8—28no—
1716Q8—28no—
1717Q8—48no—
1718Q8—44no—
1719Q8—48no—
1720Q8—44no—
1721Q8—84no—
1722Q8—88no—
1723Q8—84no—
1724Q8—88no—
1725D4—28no—
1726D4—48no—
1727D4—44no—
1728D4—48no—
1729D4—44no—
1730D4—48no—
1731D4—48no—
1732D4—48no—
1733D4—44no—
1734D4—48no—
1735D4—48no—
1736D4—48no—
1737D4—44no—
1738D4—44no—
1739D4—84no—
1740D4—84no—
1741D4—88no—
1742D4—84no—
1743D4—164no—
1744C2×C4—21no—
1745C2×C4—22no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—21no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—28no—
1763C2×C4—216no—
1764C2×C4—28no—
1765C2×C4—28no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—21no—
1771C2×C4—22no—
1772C2×C4—21no—
1773C2×C4—22no—
1774C2×C4—21no—
1775C2×C4—24no—
1776C2×C4—22no—
1777C2×C4—24no—
1778C2×C4—22no—
1779C2×C4—24no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—22no—
1786C2×C4—21no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—24no—
1792C2×C4—22no—
1793C2×C4—24no—
1794C2×C4—24no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—22no—
1800C2×C4—21no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—24no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—24no—
1809C2×C4—22no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—24no—
1813C2×C4—24no—
1814C2×C4—24no—
1815C2×C4—24no—
1816C2×C4—22no—
1817C2×C4—21no—
1818C2×C4—22no—
1819C2×C4—21no—
1820C2×C4—44no—
1821C2×C4—48no—
1822C2×C4—48no—
1823C2×C4—48no—
1824C2×C4—416no—
1825C2×C4—48no—
1826C2×C4—44no—
1827C2×C4—44no—
1828C2×C4—44no—
1829C2×C4—48no—
1830C2×C4—84no—
1831C2×C4—82no—
1832C2×C4—82no—
1833C2×C4—84no—
1834C2×C4—88no—
1835C2×C4—84no—
1836C2×C4—88no—
1837C2×C4—88no—
1838C2×C4C23×D414yes—
1839C2×C4C23×D414yes—
1840C2×C4C23×D412yes—
1841C2×C4C23×D412yes—
1842C2×C4C23×D412yes—
1843C2×C4C23×D414yes—
1844C2×C4C23×D412yes—
1845C2×C4C23×D412yes—
1846C2×C4C23×D412yes—
1847C2×C4C2×2−1+414yes—
1848C2×C4C2×2−1+412yes—
1849C2×C4C2×2−1+412yes—
1850C2×C4C2×2−1+412yes—
1851C2×C4#58512yes—
1852C2×C4#58512yes—
1853C22—22no—
1854C22—22no—
1855C22—22no—
1856C22—24no—
1857C22—24no—
1858C22—22no—
1859C22—24no—
1860C22—22no—
1861C22—22no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—42no—
1866C22—42no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—42no—
1871C22—41no—
1872C22—41no—
1873C22—42no—
1874C22—42no—
1875C22—41no—
1876C22—41no—
1877C22—42no—
1878C22—42no—
1879C22—42no—
1880C22—42no—
1881C22—41no—
1882C22—42no—
1883C22—42no—
1884C22—41no—
1885C22—42no—
1886C22—41no—
1887C22—42no—
1888C22—42no—
1889C22—42no—
1890C22—41no—
1891C22—42no—
1892C22—42no—
1893C22—41no—
1894C22—42no—
1895C22C24×D411yescharacteristic
1896C22C22×2−1+411yescharacteristic
1897C22C22×2−1+411yescharacteristic
1898C22C2×#58511yescharacteristic
1899C22C2×#58511yescharacteristic
1900C22H(7,𝔽2)11yescharacteristic
1901C22H(7,𝔽2)11yescharacteristic
1902C4—22no—
1903C4—22no—
1904C4—24no—
1905C4—22no—
1906C4—24no—
1907C4—24no—
1908C4—22no—
1909C4—22no—
1910C4—24no—
1911C4—42no—
1912C4—41no—
1913C4—41no—
1914C4—42no—
1915C4—41no—
1916C4—42no—
1917C4—44no—
1918C4—44no—
1919C4—42no—
1920C4—41no—
1921C4—42no—
1922C4—41no—
1923C4—42no—
1924C4—42no—
1925C4—42no—
1926C4—44no—
1927C4—42no—
1928C4—44no—
1929C4#348914yes—
1930C4#348914yes—
1931C2—42no—
1932C2—42no—
1933C2—44no—
1934C2—81no—
1935C2—82no—
1936C2—82no—
1937C2C2×#348911yescharacteristic
1938C2C2×#348911yescharacteristic
1939C2#6285211yescharacteristic
1940C2#6292611yescharacteristic
1941C2#6293811yescharacteristic
1942C2#6294311yescharacteristic
1943C2#6295211yescharacteristic
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×#3544C2semidirect
2. C2×#3480C2semidirect
3. #51317C2semidirect
4. #51316C2semidirect
5. #51205C2semidirect
6. #51202C2semidirect
7. #45316C2semidirect
8. #45274C2semidirect
9. #45265C2semidirect
10. #45261C2semidirect
11. #45255C2semidirect
12. #45051C2semidirect
13. #44973C2semidirect
14. #44930C2semidirect
15. #39471C2semidirect
16. #39470C2semidirect
17. #39469C2semidirect
18. #39463C2semidirect
19. #39126C2semidirect
20. #39125C2semidirect
21. #38048C2semidirect
22. #38041C2semidirect
23. #37281C2semidirect
24. #37280C2semidirect
25. #36544C2semidirect
26. Q8×C22⋊Q8C2semidirect
27. #36411C2semidirect
28. #36275C2semidirect
29. #35279C2semidirect
30. #35279C2semidirect
31. #35258C2semidirect
32. #35257C2semidirect
33. #35189C2semidirect
34. #34614C2semidirect
35. #34383C2semidirect
354. #529D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35442
C2×#34802
#513172
#513162
#512052
#512022
#453162
#452742
#452652
#452612
#452552
#450512
#449732
#449302
#394712
#394702
#394692
#394632
#391262
#391252
#380482
#380412
#372812
#372802
#365442
Q8×C22⋊Q82
#364112
#362752
#352792
#352582
#352572
#351892
#346142
#343832