Finite Group Databasebeta

← #7715851

Subgroups — #7715851

Order 512.

6674 conjugacy classes of subgroups.

The subgroup lattice has 1882 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3541C211yesmaximal, characteristic, complemented
2C22×#552C211yesmaximal, characteristic, complemented
3#50177C214yesmaximal, complemented
4#48828C214yesmaximal, complemented
5#48824C214yesmaximal, complemented
6#48787C214yesmaximal, complemented
7#45412C212yesmaximal, complemented
8#45265C212yesmaximal, complemented
9#45264C212yesmaximal, complemented
10#45261C212yesmaximal, complemented
11#45239C212yesmaximal, complemented
12#45238C212yesmaximal, complemented
13#45237C212yesmaximal, complemented
14#45236C212yesmaximal, complemented
15#39134C211yesmaximal, characteristic, complemented
16#39134C212yesmaximal, complemented
17#39133C211yesmaximal, characteristic, complemented
18#39129C212yesmaximal, complemented
19#39122C211yesmaximal, characteristic, complemented
20#39122C212yesmaximal, complemented
21#39121C211yesmaximal, characteristic, complemented
22#39117C212yesmaximal, complemented
23#36956C212yesmaximal, complemented
24#36956C212yesmaximal, complemented
25#36517C211yesmaximal, characteristic, complemented
26#36516C211yesmaximal, characteristic, complemented
27#36483C211yesmaximal, characteristic, complemented
28#36482C211yesmaximal, characteristic, complemented
29#35227C211yesmaximal, characteristic, complemented
30#35227C211yesmaximal, characteristic, complemented
31#35093C212yesmaximal, complemented
32#35093C212yesmaximal, complemented
33#35031C211yesmaximal, characteristic, complemented
34#34562C211yesmaximal, characteristic, complemented
35#34370C211yesmaximal, characteristic, complemented
36#3541—216no—
37C2×#563C2212yescomplemented
38C2×#562C2212yescomplemented
39C2×#556C2211yescharacteristic, complemented
40C2×#554C2211yescharacteristic
41C2×#554C2212yes—
42C2×#553C2211yescharacteristic
43C2×#553C2212yes—
44C2×#552—216no—
45C2×#552C2214yes—
46C2×#552C2212yes—
47C2×#552C2212yes—
48C2×#552C2212yes—
49C2×#552C2214yes—
50C2×#552C2212yes—
51C2×#552C2211yescharacteristic, complemented
52C2×D4×Q8C2211yescharacteristic
53C2×#548C2211yescharacteristic
54C2×#548C2211yescharacteristic, complemented
55C2×#547C2211yescharacteristic, complemented
56C2×#542C2212yescomplemented
57C2×#542C2211yescharacteristic, complemented
58C2×#541C2211yescharacteristic, complemented
59C2×#539C2212yescomplemented
60C2×#538C2212yes—
61C2×#538C2212yes—
62C2×#537C2211yescharacteristic, complemented
63C2×#536C2211yescharacteristic, complemented
64C22×#126C2212yes—
65C22×#125C2212yes—
66C22×#125C2211yescharacteristic
67C2×#525C2211yescharacteristic
68C2×#525C2211yescharacteristic
69C22×#123C2212yes—
70C22×C22⋊Q8C2211yescharacteristic
71C22×C22⋊Q8C2211yescharacteristic
72C22×C4×Q8C2211yescharacteristic
73C22×C4×D4C2211yescharacteristic
74C22×#117C2212yes—
75C22×#117C2211yescharacteristic
76C23×C4⋊C4C2211yescharacteristic
77#2855C2212yes—
78#2855C2212yes—
79#2855C2211yescharacteristic
80#2854C2212yes—
81#2854C2212yes—
82#2854C2211yescharacteristic
83#2849C2212yes—
84#2849C2212yes—
85#2849C2212yes—
86#2849C2212yes—
87#2848C2211yescharacteristic
88#2847C2211yescharacteristic
89#2732C2214yescomplemented
90#2730C2214yescomplemented
91#2729C2214yescomplemented
92#2728C2214yescomplemented
93#2727C2214yescomplemented
94#2725C2214yescomplemented
95#2723C2214yescomplemented
96#2721C2214yescomplemented
97#2721C2214yescomplemented
98#2721C2214yescomplemented
99#2721C2214yescomplemented
100#2719C2214yescomplemented
101#2719C2214yescomplemented
102#2719C2214yescomplemented
103#2718C2214yes—
104#2718C2214yes—
105#2718C2214yes—
106#2718C2214yes—
107#2716C2214yescomplemented
108#2714C2214yescomplemented
109#2710C2214yes—
110#2710C2214yes—
111#2710C2214yes—
112#2710C2214yes—
113#2706C2214yes—
114#2706C2214yes—
115#2706C2214yes—
116#2706C2214yes—
117#2705C2214yescomplemented
118#2703C2214yes—
119#2703C2214yes—
120#2703C2214yes—
121#2703C2214yes—
122#2702C2214yescomplemented
123#2694C2214yescomplemented
124#2694C2214yescomplemented
125#2694C2214yescomplemented
126#2690C2214yescomplemented
127#2690C2214yescomplemented
128#2690C2214yescomplemented
129#2638C2212yes—
130#2635C2212yes—
131#2630C2212yes—
132#2630C2212yes—
133#2627C2211yescharacteristic
134#2627C2212yes—
135#2627C2212yes—
136#2626C2211yescharacteristic
137#2623C2212yescomplemented
138#2623C2212yescomplemented
139#2623C2214yescomplemented
140#2622C2211yescharacteristic
141#2622C2211yescharacteristic
142#2622C2212yes—
143#2618C2211yescharacteristic
144#2618C2212yes—
145#2618C2212yes—
146#2617C2211yescharacteristic
147#2613C2211yescharacteristic
148#2613C2211yescharacteristic
149#2613C2212yes—
150#2602C2214yes—
151#2600C2214yes—
152#2561C2212yes—
153#2561C2212yes—
154#2560C2214yescomplemented
155#2554C2214yescomplemented
156#2552C2214yescomplemented
157#2552C2212yescomplemented
158#2550C2214yescomplemented
159#2550C2212yescomplemented
160#2539C2212yes—
161#2539C2212yes—
162#2538C2212yescomplemented
163#2536C2212yescomplemented
164#2534C2212yes—
165#2534C2212yes—
166#2534C2212yes—
167#2534C2212yes—
168#2519C2214yescomplemented
169#2512C2214yescomplemented
170#2504C2212yescomplemented
171#2504C2212yescomplemented
172#2503C2212yes—
173#2503C2212yes—
174#2503C2211yescharacteristic
175#2503C2212yes—
176#2503C2211yescharacteristic
177#2502C2212yescomplemented
178#2502C2212yescomplemented
179#2501C2212yes—
180#2501C2212yes—
181#2501C2211yescharacteristic
182#2501C2212yes—
183#2501C2211yescharacteristic
184#2490C2214yescomplemented
185#2490C2212yescomplemented
186#2489C2212yescomplemented
187#2489C2214yescomplemented
188#2487C2214yescomplemented
189#2487C2212yescomplemented
190#2487C2212yescomplemented
191#2486C2212yes—
192#2486C2212yes—
193#2486C2212yes—
194#2486C2212yes—
195#2486C2211yescharacteristic
196#2486C2211yescharacteristic
197#2486C2212yes—
198#2486C2211yescharacteristic
199#2486C2212yes—
200#2486C2211yescharacteristic
201#2485C2212yes—
202#2481C2214yescomplemented
203#2479C2214yescomplemented
204#2479C2214yescomplemented
205#2478C2214yescomplemented
206#2478C2214yescomplemented
207#2478C2214yescomplemented
208#2478C2214yescomplemented
209#2477C2214yescomplemented
210#2476C2214yescomplemented
211#2476C2214yescomplemented
212#2476C2214yescomplemented
213#2476C2214yescomplemented
214#2475C2214yescomplemented
215#2474C2214yescomplemented
216#2474C2214yescomplemented
217#2474C2214yescomplemented
218#2474C2214yescomplemented
219#2471C2214yescomplemented
220#2470C2214yescomplemented
221#2470C2214yescomplemented
222#2470C2214yescomplemented
223#2470C2214yescomplemented
224#2469C2214yescomplemented
225#2467C2214yescomplemented
226#2454C2212yescomplemented
227#2454C2214yescomplemented
228#2453C2214yescomplemented
229#2453C2212yescomplemented
230#2448C2214yescomplemented
231#2448C2212yescomplemented
232#2446C2214yescomplemented
233#2446C2212yescomplemented
234#2442C2214yescomplemented
235#2442C2212yescomplemented
236#2441C2214yescomplemented
237#2441C2212yescomplemented
238#2441C2212yescomplemented
239#2439C2212yescomplemented
240#2429C2212yescomplemented
241#2426C2212yescomplemented
242#2423C2214yescomplemented
243#2423C2212yescomplemented
244#2423C2212yescomplemented
245#2421C2214yescomplemented
246#2421C2212yescomplemented
247#2421C2212yescomplemented
248#2415C2212yes—
249#2415C2212yescomplemented
250#2414C2212yes—
251#2414C2212yescomplemented
252#2409C2212yescomplemented
253#2407C2212yes—
254#2407C2212yescomplemented
255#2395C2212yes—
256#2392C2212yes—
257#2392C2212yes—
258#2388C2212yes—
259#2378C2214yescomplemented
260#2363C2212yescomplemented
261#2362C2212yescomplemented
262#2362C2212yescomplemented
263#2362C2212yescomplemented
264#2354C2212yescomplemented
265#2352C2212yescomplemented
266#2351C2212yescomplemented
267Q8×C4⋊C4C2212yescomplemented
268#2345C2211yescharacteristic
269#2345C2211yescharacteristic
270#2345C2212yes—
271#2345C2212yes—
272#2341C2212yescomplemented
273Q8×C22⋊C4C2211yescharacteristic
274Q8×C22⋊C4C2211yescharacteristic
275Q8×C22⋊C4C2212yescomplemented
276#2332C2214yescomplemented
277#2323C2212yescomplemented
278#2323C2212yescomplemented
279#2322C2212yes—
280#2322C2212yes—
281#2322C2212yes—
282#2322C2212yes—
283#2322C2212yes—
284#2321C2212yes—
285#2317C2212yescomplemented
286#2317C2212yescomplemented
287#2312C2212yes—
288#2312C2212yes—
289#2311C2212yescomplemented
290#2311C2212yescomplemented
291C4×#123C2211yescharacteristic
292C4×#123C2211yescharacteristic
293C4×#123C2212yes—
294C4×#123C2212yes—
295C4×#123C2212yes—
296C4×#123C2212yes—
297C4×#120C2211yescharacteristic
298C4×#120C2211yescharacteristic
299#2280C2211yescharacteristic
300#2280C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C23×Q8C2311yescharacteristic
305C23×Q8C2311yescharacteristic
306C23×D4C2311yescharacteristic
307C24×C4C2311yescharacteristic
308C24×C4C2312yes—
309C24×C4C2311yescharacteristic
310#563—216no—
311#562—216no—
312#556—28no—
313#554—28no—
314#554—216no—
315#553—28no—
316#553—216no—
317#552—216no—
318#552—216no—
319#552—232no—
320#552—216no—
321#552—216no—
322#552—232no—
323#552—28no—
324D4×Q8—28no—
325#548—28no—
326#548—28no—
327#547—28no—
328#542—28no—
329#542—216no—
330#541—28no—
331#539—216no—
332#538—216no—
333#538—216no—
334#537—28no—
335#536—28no—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2312yes—
340C2×#126—216no—
341C2×#126C2314yes—
342C2×#126C2314yes—
343C2×#126C2314yes—
344C2×#126C2314yes—
345C2×#126C2312yes—
346C2×#126C2312yes—
347C2×#126C2312yes—
348C2×#126C2312yes—
349C2×#126C2312yes—
350C2×#126C2312yes—
351C2×#126C2312yes—
352C2×#125—216no—
353C2×#125—28no—
354C2×#125C2314yes—
355C2×#125C2314yes—
356C2×#125C2314yes—
357C2×#125C2314yes—
358C2×#125C2314yes—
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#125C2312yes—
362C2×#125C2312yes—
363C2×#125C2311yescharacteristic
364C2×#125C2312yes—
365C2×#125C2312yes—
366C2×#124C2312yes—
367C2×#124C2311yescharacteristic
368C2×#124C2312yes—
369C2×#124C2312yes—
370C2×#124C2312yes—
371C2×#124C2312yes—
372#525—28no—
373#525—28no—
374C2×#123—216no—
375C2×#123C2312yes—
376C2×#123C2311yescharacteristic
377C2×#123C2311yescharacteristic
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2312yes—
398C2×#123C2311yescharacteristic
399C2×#123C2311yescharacteristic
400C2×C22⋊Q8—28no—
401C2×C22⋊Q8D4116yescomplemented
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2311yescharacteristic
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2311yescharacteristic
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2311yescharacteristic
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2311yescharacteristic
425C2×C22⋊Q8C2311yescharacteristic
426C2×C22⋊Q8C2312yes—
427C2×#121C2311yescharacteristic
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2311yescharacteristic
431C2×#121C2311yescharacteristic
432C2×#121C2311yescharacteristic
433C2×#121C2311yescharacteristic
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#120C2311yescharacteristic
441C2×#120C2312yes—
442C2×#120C2311yescharacteristic
443C2×#120C2312yes—
444C2×#120C2311yescharacteristic
445C2×#120C2311yescharacteristic
446C2×C4×Q8—28no—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2314yes—
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2312yes—
456C2×C4×D4—28no—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×#117—28no—
476C2×#117—216no—
477C2×#117C2311yescharacteristic
478C2×#117C2311yescharacteristic
479C2×#117C2312yes—
480C2×#117C2311yescharacteristic
481C2×#117C2312yes—
482C2×#117C2314yes—
483C2×#117C2314yes—
484C2×#117C2314yes—
485C2×#117C2314yes—
486C2×#117C2314yes—
487C2×#117C2312yes—
488C2×#117C2312yes—
489C2×#117C2312yes—
490C22×C4⋊C4—28no—
491C22×C4⋊C4C2312yes—
492C22×C4⋊C4C2312yes—
493C22×C4⋊C4C2312yes—
494C22×C4⋊C4C2312yes—
495C22×C4⋊C4C2311yescharacteristic
496C22×C4⋊C4C2311yescharacteristic
497C22×C4⋊C4C2312yes—
498C22×C4⋊C4C2312yes—
499C22×C4⋊C4C2311yescharacteristic
500C22×C4⋊C4C2311yescharacteristic
501C22×C4⋊C4C2312yes—
502C22×C4⋊C4C2312yes—
503C22×C4⋊C4C2312yes—
504C22×C4⋊C4C2312yes—
505C22×C4⋊C4C2311yescharacteristic
506C22×C4⋊C4C2312yes—
507C22×C22⋊C4C2312yes—
508C22×C22⋊C4C2312yes—
509C22×C22⋊C4C2311yescharacteristic
510C22×C22⋊C4C2311yescharacteristic
511C22×C22⋊C4C2312yes—
512C22×C42C2312yes—
513C22×C42C2312yes—
514C22×C42C2311yescharacteristic
515#400C2314yes—
516#400C2314yes—
517#400C2314yes—
518#400C2314yes—
519#400C2312yes—
520#400C2314yes—
521#400C2314yes—
522#400C2314yes—
523#400C2314yes—
524#400C2314yes—
525#400C2314yes—
526#399C2314yes—
527#399C2314yes—
528#399C2314yes—
529#399C2314yes—
530#399C2312yes—
531#399C2314yes—
532#399C2314yes—
533#399C2314yes—
534#399C2314yes—
535#399C2314yes—
536#399C2314yes—
537#398C2314yes—
538#398C2312yes—
539#398C2314yes—
540#398C2314yes—
541#398C2312yes—
542#398C2314yes—
543#398C2312yes—
544#398C2312yes—
545#398C2314yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2314yes—
550#398C2314yes—
551#398C2314yes—
552#398C2314yes—
553#398C2314yes—
554#398C2314yes—
555#398C2314yes—
556#397C2314yes—
557#397C2314yes—
558#397C2314yes—
559#397C2314yes—
560#397C2314yes—
561#397C2312yes—
562#397C2312yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2312yes—
567#397C2312yes—
568#397C2314yes—
569#397C2312yes—
570#397C2312yes—
571#397C2314yes—
572#397C2314yes—
573#397C2314yes—
574#397C2314yes—
575#396C2312yes—
576#396C2312yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2312yes—
582#396C2312yes—
583#396C2314yes—
584#396C2314yes—
585#396C2314yes—
586#396C2314yes—
587#395C2312yes—
588#395C2314yes—
589#395C2314yes—
590#394C2314yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2312yes—
596#394C2312yes—
597#394C2312yes—
598#394C2312yes—
599#394C2312yes—
600#394C2312yes—
601#394C2312yes—
602#394C2314yes—
603#394C2314yes—
604#394C2312yes—
605#394C2312yes—
606#394C2312yes—
607#394C2312yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#393C2312yes—
612#393C2314yes—
613#393C2314yes—
614#392C2314yes—
615#392C2314yes—
616#392C2312yes—
617#392C2312yes—
618#392C2312yes—
619#392C2312yes—
620#392C2312yes—
621#392C2314yes—
622#392C2314yes—
623#391C2314yes—
624#391C2312yes—
625#391C2312yes—
626#391C2312yes—
627#391C2312yes—
628#391C2314yes—
629#391C2314yes—
630#391C2312yes—
631#391C2314yes—
632#391C2314yes—
633#391C2314yes—
634#391C2314yes—
635#390C2314yes—
636#390C2312yes—
637#390C2312yes—
638#390C2314yes—
639#390C2312yes—
640#390C2314yes—
641#390C2314yes—
642#390C2314yes—
643#390C2314yes—
644#390C2314yes—
645#390C2314yes—
646#390C2314yes—
647#390C2314yes—
648#389C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2314yes—
653#389C2314yes—
654#389C2314yes—
655#389C2314yes—
656#389C2314yes—
657#389C2314yes—
658#389C2314yes—
659#389C2312yes—
660#389C2312yes—
661#389C2314yes—
662#389C2314yes—
663#389C2312yes—
664#389C2314yes—
665#389C2314yes—
666#389C2312yes—
667#389C2314yes—
668#389C2314yes—
669#389C2314yes—
670#389C2314yes—
671#389C2314yes—
672#389C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2312yes—
700#388C2312yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2312yes—
724#387C2312yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2312yes—
735#386C2314yes—
736#386C2312yes—
737#386C2311yescharacteristic
738#386C2311yescharacteristic
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2311yescharacteristic
746#386C2311yescharacteristic
747#386C2314yes—
748#386C2312yes—
749#386C2312yes—
750#386C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2312yes—
756#385C2312yes—
757#385C2311yescharacteristic
758#385C2311yescharacteristic
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2311yescharacteristic
770#385C2311yescharacteristic
771#385C2312yes—
772#385C2312yes—
773#384C2312yes—
774#384C2312yes—
775#384C2314yes—
776#384C2314yes—
777#384C2314yes—
778#382C2312yes—
779#382C2312yes—
780#382C2314yes—
781#382C2314yes—
782#382C2314yes—
783#381C2312yes—
784#381C2312yes—
785#381C2312yes—
786#381C2312yes—
787#381C2312yes—
788#381C2312yes—
789#381C2312yes—
790#381C2312yes—
791#381C2312yes—
792#381C2312yes—
793#381C2312yes—
794#381C2311yescharacteristic
795#381C2311yescharacteristic
796#380C2312yes—
797#380C2312yes—
798#380C2312yes—
799#380C2312yes—
800#380C2314yes—
801#380C2314yes—
802#380C2312yes—
803#380C2312yes—
804#380C2312yes—
805#380C2312yes—
806#380C2312yes—
807#380C2311yescharacteristic
808#380C2312yes—
809#380C2311yescharacteristic
810#380C2312yes—
811#380C2314yes—
812#380C2314yes—
813#380C2311yescharacteristic
814#380C2311yescharacteristic
815#380C2312yes—
816#380C2314yes—
817#380C2314yes—
818#379C2312yes—
819#379C2311yescharacteristic
820#379C2311yescharacteristic
821#379C2311yescharacteristic
822#379C2311yescharacteristic
823#379C2312yes—
824C4×C4⋊C4C2314yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2314yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2314yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2314yes—
832C4×C4⋊C4C2314yes—
833C4×C4⋊C4C2314yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2312yes—
849C4×C22⋊C4C2312yes—
850C4×C22⋊C4C2314yes—
851C25C2411yescharacteristic
852C25C2411yescharacteristic
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—24no—
856C2×#41—44no—
857C2×#41—44no—
858C2×#41—44no—
859C22×Q8—24no—
860C22×Q8—44no—
861C22×Q8—44no—
862C22×Q8C2×D418yes—
863C22×Q8C2411yescharacteristic
864C22×Q8C2411yescharacteristic
865C22×Q8C2411yescharacteristic
866C22×Q8C2412yes—
867C22×Q8C2411yescharacteristic
868C22×Q8C2412yes—
869C22×Q8C2412yes—
870C22×D4—24no—
871C22×D4—42no—
872C22×D4—42no—
873C22×D4C2412yes—
874C22×D4C2411yescharacteristic
875C22×D4C2411yescharacteristic
876C22×D4C2411yescharacteristic
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2411yescharacteristic
880C22×D4C2412yes—
881C22×D4C2411yescharacteristic
882C22×D4C2412yes—
883C22×D4C2411yescharacteristic
884C22×D4C2412yes—
885C22×D4C2411yescharacteristic
886C22×D4C2411yescharacteristic
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2414yes—
891C23×C4—28no—
892C23×C4—24no—
893C23×C4—44no—
894C23×C4—44no—
895C23×C4—44no—
896C23×C4—44no—
897C23×C4C2×D418yes—
898C23×C4C2412yes—
899C23×C4C2412yes—
900C23×C4C2411yescharacteristic
901C23×C4C2411yescharacteristic
902C23×C4C2412yes—
903C23×C4C2411yescharacteristic
904C23×C4C2411yescharacteristic
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C23×C4C2411yescharacteristic
908C23×C4C2411yescharacteristic
909C23×C4C2414yes—
910C23×C4C2414yes—
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2412yes—
916C23×C4C2412yes—
917C23×C4C2412yes—
918C23×C4C2412yes—
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2411yescharacteristic
922C4⋊Q8—24no—
923C4⋊Q8—28no—
924C4⋊Q8—28no—
925C4⋊Q8—24no—
926#126—216no—
927#126—216no—
928#126—216no—
929#126—216no—
930#126—28no—
931#126—28no—
932#126—28no—
933#126—28no—
934#126—28no—
935#126—28no—
936#126—28no—
937#125—216no—
938#125—216no—
939#125—216no—
940#125—216no—
941#125—28no—
942#125—28no—
943#125—216no—
944#125—28no—
945#125—28no—
946#125—24no—
947#125—28no—
948#125—28no—
949#124—24no—
950#124—28no—
951#124—28no—
952#124—28no—
953#124—28no—
954#124—28no—
955#123—24no—
956#123—24no—
957#123—28no—
958#123—28no—
959#123—28no—
960#123—28no—
961#123—216no—
962#123—216no—
963#123—216no—
964#123—216no—
965#123—28no—
966#123—28no—
967#123—28no—
968#123—28no—
969#123—44no—
970#123—44no—
971#123—44no—
972#123—44no—
973#123—44no—
974#123—44no—
975#123—44no—
976#123—44no—
977#123—44no—
978#123—42no—
979#123—42no—
980C22⋊Q8—28no—
981C22⋊Q8—28no—
982C22⋊Q8—216no—
983C22⋊Q8—24no—
984C22⋊Q8—24no—
985C22⋊Q8—28no—
986C22⋊Q8—28no—
987C22⋊Q8—24no—
988C22⋊Q8—24no—
989C22⋊Q8—24no—
990C22⋊Q8—24no—
991C22⋊Q8—28no—
992C22⋊Q8—28no—
993C22⋊Q8—24no—
994C22⋊Q8—28no—
995C22⋊Q8—28no—
996C22⋊Q8—28no—
997C22⋊Q8—28no—
998C22⋊Q8—44no—
999C22⋊Q8C2×D418yes—
1000C22⋊Q8C2×D418yes—
1001C22⋊Q8C2×D4116yes—
1002C22⋊Q8C2×D418yes—
1003C22⋊Q8C2×D418yes—
1004C22⋊Q8C2×D4116yes—
1005#121—24no—
1006#121—24no—
1007#121—24no—
1008#121—24no—
1009#121—28no—
1010#121—28no—
1011#121—24no—
1012#121—28no—
1013#121—28no—
1014#121—28no—
1015#121—28no—
1016#121—28no—
1017#121—44no—
1018#120—24no—
1019#120—28no—
1020#120—24no—
1021#120—42no—
1022#120—42no—
1023#120—44no—
1024C4×Q8—28no—
1025C4×Q8—28no—
1026C4×Q8—216no—
1027C4×Q8—24no—
1028C4×Q8—24no—
1029C4×Q8—24no—
1030C4×Q8—28no—
1031C4×Q8—44no—
1032C4×Q8—44no—
1033C4×D4—28no—
1034C4×D4—28no—
1035C4×D4—28no—
1036C4×D4—28no—
1037C4×D4—28no—
1038C4×D4—24no—
1039C4×D4—24no—
1040C4×D4—24no—
1041C4×D4—24no—
1042C4×D4—28no—
1043C4×D4—28no—
1044C4×D4—28no—
1045C4×D4—28no—
1046C4×D4—28no—
1047C4×D4—28no—
1048C4×D4—24no—
1049C4×D4—44no—
1050C4×D4—44no—
1051#117—24no—
1052#117—24no—
1053#117—28no—
1054#117—28no—
1055#117—216no—
1056#117—24no—
1057#117—28no—
1058#117—216no—
1059#117—216no—
1060#117—216no—
1061#117—216no—
1062#117—44no—
1063#117—44no—
1064C2×C4⋊C4—24no—
1065C2×C4⋊C4—24no—
1066C2×C4⋊C4—28no—
1067C2×C4⋊C4—28no—
1068C2×C4⋊C4—28no—
1069C2×C4⋊C4—28no—
1070C2×C4⋊C4—28no—
1071C2×C4⋊C4—28no—
1072C2×C4⋊C4—28no—
1073C2×C4⋊C4—24no—
1074C2×C4⋊C4—28no—
1075C2×C4⋊C4—28no—
1076C2×C4⋊C4—24no—
1077C2×C4⋊C4—28no—
1078C2×C4⋊C4C2×D418yes—
1079C2×C4⋊C4C2×D4116yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2411yescharacteristic
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C22⋊C4—24no—
1151C2×C22⋊C4—28no—
1152C2×C22⋊C4—24no—
1153C2×C22⋊C4—28no—
1154C2×C22⋊C4C2×D4116yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2411yescharacteristic
1164C2×C22⋊C4C2411yescharacteristic
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2411yescharacteristic
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2411yescharacteristic
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2411yescharacteristic
1172C2×C22⋊C4C2411yescharacteristic
1173C2×C22⋊C4C2411yescharacteristic
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2411yescharacteristic
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2411yescharacteristic
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2411yescharacteristic
1188C2×C22⋊C4C2411yescharacteristic
1189C2×C22⋊C4C2411yescharacteristic
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2411yescharacteristic
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C42—28no—
1229C2×C42—28no—
1230C2×C42—24no—
1231C2×C42C2414yes—
1232C2×C42C2414yes—
1233C2×C42C2412yes—
1234C2×C42C2414yes—
1235C2×C42C2414yes—
1236C2×C42C2411yescharacteristic
1237C2×C42C2411yescharacteristic
1238C2×C42C2412yes—
1239C2×C42C2412yes—
1240C2×C42C2412yes—
1241C2×C42C2412yes—
1242C2×C42C2412yes—
1243C2×C42C2412yes—
1244C2×C42C2412yes—
1245C2×C42C2412yes—
1246C2×C42C2414yes—
1247C2×C42C2414yes—
1248C2×C42C2414yes—
1249C2×C42C2414yes—
1250C2×C42C2414yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2414yes—
1258#95C2412yes—
1259#95C2414yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2414yes—
1263#95C2412yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2414yes—
1270#95C2412yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2412yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300C24—22no—
1301C24—22no—
1302C24—22no—
1303C24—22no—
1304C24—22no—
1305C24—42no—
1306C24—42no—
1307C24—42no—
1308C24—42no—
1309C24C22×D414yes—
1310C24C2512yes—
1311C24C2511yescharacteristic
1312C24C2511yescharacteristic
1313C24C2512yes—
1314C24C2511yescharacteristic
1315C24C2511yescharacteristic
1316C24C2511yescharacteristic
1317#41—88no—
1318#41—88no—
1319#41—88no—
1320C2×Q8—22no—
1321C2×Q8—24no—
1322C2×Q8—22no—
1323C2×Q8—24no—
1324C2×Q8—24no—
1325C2×Q8—24no—
1326C2×Q8—24no—
1327C2×Q8—44no—
1328C2×Q8—44no—
1329C2×Q8—44no—
1330C2×Q8—42no—
1331C2×Q8—416no—
1332C2×Q8—88no—
1333C2×Q8C22×D414yes—
1334C2×Q8C22×D414yes—
1335C2×Q8C22×D418yes—
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—24no—
1339C2×D4—24no—
1340C2×D4—24no—
1341C2×D4—22no—
1342C2×D4—22no—
1343C2×D4—24no—
1344C2×D4—24no—
1345C2×D4—22no—
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—24no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—24no—
1352C2×D4—22no—
1353C2×D4—22no—
1354C2×D4—24no—
1355C2×D4—22no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—42no—
1359C2×D4—42no—
1360C2×D4—42no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—44no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—44no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—44no—
1374C2×D4—42no—
1375C2×D4—42no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—416no—
1381C22×C4—24no—
1382C22×C4—24no—
1383C22×C4—24no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—24no—
1387C22×C4—22no—
1388C22×C4—24no—
1389C22×C4—28no—
1390C22×C4—28no—
1391C22×C4—24no—
1392C22×C4—24no—
1393C22×C4—24no—
1394C22×C4—24no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—22no—
1401C22×C4—24no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—24no—
1406C22×C4—24no—
1407C22×C4—24no—
1408C22×C4—24no—
1409C22×C4—24no—
1410C22×C4—416no—
1411C22×C4—42no—
1412C22×C4—42no—
1413C22×C4—42no—
1414C22×C4—42no—
1415C22×C4—42no—
1416C22×C4—42no—
1417C22×C4—44no—
1418C22×C4—44no—
1419C22×C4—44no—
1420C22×C4—44no—
1421C22×C4—44no—
1422C22×C4—42no—
1423C22×C4—44no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4—44no—
1428C22×C4—44no—
1429C22×C4—416no—
1430C22×C4—432no—
1431C22×C4C22×D414yes—
1432C22×C4C22×D414yes—
1433C22×C4C22×D414yes—
1434C22×C4C22×D418yes—
1435C22×C4C22×D418yes—
1436C22×C4C22×D414yes—
1437C22×C4C22×D414yes—
1438C22×C4C22×D414yes—
1439C22×C4C2512yes—
1440C22×C4C2512yes—
1441C22×C4C2514yes—
1442C22×C4C2512yes—
1443C22×C4C2512yes—
1444C22×C4C2514yes—
1445C22×C4C2511yescharacteristic
1446C22×C4C2512yes—
1447C22×C4C2511yescharacteristic
1448C22×C4C2511yescharacteristic
1449C22×C4C2512yes—
1450C22×C4C2511yescharacteristic
1451C22×C4C2512yes—
1452C22×C4C2512yes—
1453C22×C4C2514yes—
1454C22×C4C2512yes—
1455C22×C4C2514yes—
1456C22×C4C2511yescharacteristic
1457C22×C4C2511yescharacteristic
1458C22×C4C2512yes—
1459C22×C4C2511yescharacteristic
1460C22×C4C2512yes—
1461C22×C4C2512yes—
1462C22×C4C2512yes—
1463C22×C4C2512yes—
1464C22×C4C2511yescharacteristic
1465C22×C4C2511yescharacteristic
1466C22×C4C2511yescharacteristic
1467C4⋊C4—24no—
1468C4⋊C4—24no—
1469C4⋊C4—24no—
1470C4⋊C4—24no—
1471C4⋊C4—28no—
1472C4⋊C4—28no—
1473C4⋊C4—22no—
1474C4⋊C4—28no—
1475C4⋊C4—28no—
1476C4⋊C4—28no—
1477C4⋊C4—28no—
1478C4⋊C4—22no—
1479C4⋊C4—24no—
1480C4⋊C4—24no—
1481C4⋊C4—28no—
1482C4⋊C4—28no—
1483C4⋊C4—24no—
1484C4⋊C4—24no—
1485C4⋊C4—24no—
1486C4⋊C4—28no—
1487C4⋊C4—28no—
1488C4⋊C4—22no—
1489C4⋊C4—22no—
1490C4⋊C4—22no—
1491C4⋊C4—24no—
1492C4⋊C4—22no—
1493C4⋊C4—22no—
1494C4⋊C4—24no—
1495C4⋊C4—24no—
1496C4⋊C4—24no—
1497C4⋊C4—22no—
1498C4⋊C4—24no—
1499C4⋊C4—24no—
1500C4⋊C4—24no—
1501C4⋊C4—24no—
1502C4⋊C4—24no—
1503C4⋊C4—24no—
1504C4⋊C4—24no—
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—44no—
1508C4⋊C4—44no—
1509C4⋊C4—42no—
1510C4⋊C4—44no—
1511C4⋊C4—42no—
1512C4⋊C4—42no—
1513C4⋊C4—42no—
1514C4⋊C4—42no—
1515C4⋊C4—42no—
1516C4⋊C4—44no—
1517C4⋊C4—44no—
1518C4⋊C4—44no—
1519C4⋊C4—44no—
1520C4⋊C4—44no—
1521C4⋊C4—44no—
1522C4⋊C4—44no—
1523C4⋊C4—42no—
1524C4⋊C4—42no—
1525C4⋊C4—44no—
1526C4⋊C4—44no—
1527C4⋊C4—44no—
1528C4⋊C4—44no—
1529C4⋊C4—44no—
1530C4⋊C4C22×D414yes—
1531C4⋊C4C22×D418yes—
1532C4⋊C4C22×D414yes—
1533C4⋊C4C22×D418yes—
1534C4⋊C4C22×D418yes—
1535C4⋊C4C22×D418yes—
1536C4⋊C4C22×D418yes—
1537C22⋊C4—24no—
1538C22⋊C4—24no—
1539C22⋊C4—22no—
1540C22⋊C4—24no—
1541C22⋊C4—22no—
1542C22⋊C4—22no—
1543C22⋊C4—24no—
1544C22⋊C4—22no—
1545C22⋊C4—22no—
1546C22⋊C4—24no—
1547C22⋊C4—22no—
1548C22⋊C4—22no—
1549C22⋊C4—22no—
1550C22⋊C4—24no—
1551C22⋊C4—24no—
1552C22⋊C4—22no—
1553C22⋊C4—22no—
1554C22⋊C4—28no—
1555C22⋊C4—28no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—28no—
1559C22⋊C4—28no—
1560C22⋊C4—22no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—22no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—24no—
1567C22⋊C4—22no—
1568C22⋊C4—24no—
1569C22⋊C4—22no—
1570C22⋊C4—24no—
1571C22⋊C4—24no—
1572C22⋊C4—24no—
1573C22⋊C4—24no—
1574C22⋊C4—42no—
1575C22⋊C4—42no—
1576C22⋊C4—42no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—42no—
1581C22⋊C4—42no—
1582C22⋊C4—42no—
1583C22⋊C4—42no—
1584C22⋊C4—42no—
1585C22⋊C4—44no—
1586C22⋊C4—42no—
1587C22⋊C4—42no—
1588C22⋊C4—42no—
1589C22⋊C4—42no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C22⋊C4—42no—
1600C22⋊C4—42no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4C22×D418yes—
1607C22⋊C4C22×D418yes—
1608C22⋊C4C22×D418yes—
1609C22⋊C4C22×D418yes—
1610C42—28no—
1611C42—28no—
1612C42—28no—
1613C42—28no—
1614C42—24no—
1615C42—24no—
1616C42—24no—
1617C42—22no—
1618C42—22no—
1619C42—24no—
1620C42—24no—
1621C42—24no—
1622C42—24no—
1623C42—24no—
1624C42—24no—
1625C42—44no—
1626C42—44no—
1627C42—44no—
1628C42—44no—
1629C42—44no—
1630C23—22no—
1631C23—22no—
1632C23—22no—
1633C23—22no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—22no—
1639C23—22no—
1640C23—28no—
1641C23—22no—
1642C23—21no—
1643C23—21no—
1644C23—22no—
1645C23—22no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—22no—
1651C23—22no—
1652C23—22no—
1653C23—22no—
1654C23—22no—
1655C23—22no—
1656C23—22no—
1657C23—24no—
1658C23—22no—
1659C23—22no—
1660C23—24no—
1661C23—22no—
1662C23—22no—
1663C23—44no—
1664C23—44no—
1665C23—48no—
1666C23—48no—
1667C23—44no—
1668C23—44no—
1669C23—44no—
1670C23—84no—
1671C23—84no—
1672C23C23×D412yes—
1673C23C23×D412yes—
1674C23C23×D412yes—
1675C23#58512yes—
1676C23#58512yes—
1677C23C2611yescharacteristic
1678Q8—28no—
1679Q8—28no—
1680Q8—48no—
1681Q8—44no—
1682Q8—84no—
1683Q8—84no—
1684Q8—82no—
1685D4—48no—
1686D4—48no—
1687D4—44no—
1688D4—44no—
1689D4—48no—
1690D4—44no—
1691D4—84no—
1692D4—82no—
1693D4—84no—
1694D4—82no—
1695D4—84no—
1696D4—82no—
1697D4—82no—
1698D4—82no—
1699D4—84no—
1700D4—84no—
1701D4—84no—
1702D4—164no—
1703C2×C4—22no—
1704C2×C4—24no—
1705C2×C4—24no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—24no—
1709C2×C4—24no—
1710C2×C4—28no—
1711C2×C4—28no—
1712C2×C4—28no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—24no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—22no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—21no—
1724C2×C4—22no—
1725C2×C4—24no—
1726C2×C4—21no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—24no—
1732C2×C4—24no—
1733C2×C4—24no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—24no—
1739C2×C4—22no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—22no—
1743C2×C4—24no—
1744C2×C4—24no—
1745C2×C4—24no—
1746C2×C4—24no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—24no—
1753C2×C4—22no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—24no—
1759C2×C4—24no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—24no—
1766C2×C4—22no—
1767C2×C4—44no—
1768C2×C4—44no—
1769C2×C4—44no—
1770C2×C4—48no—
1771C2×C4—48no—
1772C2×C4—48no—
1773C2×C4—44no—
1774C2×C4—44no—
1775C2×C4—416no—
1776C2×C4—416no—
1777C2×C4—48no—
1778C2×C4—48no—
1779C2×C4—44no—
1780C2×C4—48no—
1781C2×C4—44no—
1782C2×C4—44no—
1783C2×C4—84no—
1784C2×C4—84no—
1785C2×C4—84no—
1786C2×C4—84no—
1787C2×C4—84no—
1788C2×C4C23×D414yes—
1789C2×C4C23×D414yes—
1790C2×C4C23×D414yes—
1791C2×C4C23×D414yes—
1792C2×C4C23×D412yes—
1793C2×C4C23×D412yes—
1794C2×C4C23×D412yes—
1795C2×C4C23×D412yes—
1796C2×C4#58514yes—
1797C22—22no—
1798C22—22no—
1799C22—24no—
1800C22—24no—
1801C22—22no—
1802C22—22no—
1803C22—22no—
1804C22—22no—
1805C22—22no—
1806C22—22no—
1807C22—416no—
1808C22—42no—
1809C22—42no—
1810C22—42no—
1811C22—42no—
1812C22—42no—
1813C22—41no—
1814C22—41no—
1815C22—42no—
1816C22—42no—
1817C22—41no—
1818C22—41no—
1819C22—42no—
1820C22—41no—
1821C22—42no—
1822C22—41no—
1823C22—42no—
1824C22—42no—
1825C22—42no—
1826C22—42no—
1827C22—42no—
1828C22—44no—
1829C22—42no—
1830C22—44no—
1831C22—42no—
1832C22—42no—
1833C22—42no—
1834C22—88no—
1835C22#348714yes—
1836C22C24×D411yescharacteristic
1837C22C2×#58512yes—
1838C22C2×#58511yescharacteristic
1839C22C2×#58511yescharacteristic
1840C222−1+612yes—
1841C4—22no—
1842C4—22no—
1843C4—22no—
1844C4—24no—
1845C4—24no—
1846C4—24no—
1847C4—24no—
1848C4—42no—
1849C4—41no—
1850C4—41no—
1851C4—42no—
1852C4—44no—
1853C4—44no—
1854C4—42no—
1855C4—42no—
1856C4—41no—
1857C4—41no—
1858C4—42no—
1859C4—41no—
1860C4—42no—
1861C4—41no—
1862C4—44no—
1863C4—42no—
1864C4—42no—
1865C4—42no—
1866C4—42no—
1867C4—44no—
1868C4#348514yes—
1869C2—24no—
1870C2—42no—
1871C2—42no—
1872C2—81no—
1873C2—81no—
1874C2—82no—
1875C2—82no—
1876C2C2×#348511yescharacteristic
1877C2C2×#348711yescharacteristic
1878C2#6285911yescharacteristic
1879C2#6290712yes—
1880C2#6293412yes—
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×#3541C2semidirect
2. C22×#552C2semidirect
3. #50177C2semidirect
4. #48828C2semidirect
5. #48824C2semidirect
6. #48787C2semidirect
7. #45412C2semidirect
8. #45265C2semidirect
9. #45264C2semidirect
10. #45261C2semidirect
11. #45239C2semidirect
12. #45238C2semidirect
13. #45237C2semidirect
14. #45236C2semidirect
15. #39134C2semidirect
16. #39134C2semidirect
17. #39133C2semidirect
18. #39129C2semidirect
19. #39122C2semidirect
20. #39122C2semidirect
21. #39121C2semidirect
22. #39117C2semidirect
23. #36956C2semidirect
24. #36956C2semidirect
25. #36517C2semidirect
26. #36516C2semidirect
27. #36483C2semidirect
28. #36482C2semidirect
29. #35227C2semidirect
30. #35227C2semidirect
31. #35093C2semidirect
32. #35093C2semidirect
33. #35031C2semidirect
34. #34562C2semidirect
35. #34370C2semidirect
37. C2×#563C22semidirect
38. C2×#562C22semidirect
39. C2×#556C22semidirect
51. C2×#552C22semidirect
54. C2×#548C22semidirect
55. C2×#547C22semidirect
56. C2×#542C22semidirect
57. C2×#542C22semidirect
58. C2×#541C22semidirect
59. C2×#539C22semidirect
62. C2×#537C22semidirect
63. C2×#536C22semidirect
89. #2732C22semidirect
90. #2730C22semidirect
91. #2729C22semidirect
92. #2728C22semidirect
93. #2727C22semidirect
94. #2725C22semidirect
95. #2723C22semidirect
96. #2721C22semidirect
97. #2721C22semidirect
98. #2721C22semidirect
99. #2721C22semidirect
100. #2719C22semidirect
101. #2719C22semidirect
102. #2719C22semidirect
107. #2716C22semidirect
108. #2714C22semidirect
117. #2705C22semidirect
122. #2702C22semidirect
123. #2694C22semidirect
124. #2694C22semidirect
125. #2694C22semidirect
126. #2690C22semidirect
127. #2690C22semidirect
128. #2690C22semidirect
137. #2623C22semidirect
138. #2623C22semidirect
139. #2623C22semidirect
154. #2560C22semidirect
155. #2554C22semidirect
156. #2552C22semidirect
157. #2552C22semidirect
158. #2550C22semidirect
159. #2550C22semidirect
162. #2538C22semidirect
163. #2536C22semidirect
168. #2519C22semidirect
169. #2512C22semidirect
170. #2504C22semidirect
171. #2504C22semidirect
177. #2502C22semidirect
178. #2502C22semidirect
184. #2490C22semidirect
185. #2490C22semidirect
186. #2489C22semidirect
187. #2489C22semidirect
188. #2487C22semidirect
189. #2487C22semidirect
190. #2487C22semidirect
202. #2481C22semidirect
203. #2479C22semidirect
204. #2479C22semidirect
205. #2478C22semidirect
206. #2478C22semidirect
207. #2478C22semidirect
208. #2478C22semidirect
209. #2477C22semidirect
210. #2476C22semidirect
211. #2476C22semidirect
212. #2476C22semidirect
213. #2476C22semidirect
214. #2475C22semidirect
215. #2474C22semidirect
216. #2474C22semidirect
217. #2474C22semidirect
218. #2474C22semidirect
219. #2471C22semidirect
220. #2470C22semidirect
221. #2470C22semidirect
222. #2470C22semidirect
223. #2470C22semidirect
224. #2469C22semidirect
225. #2467C22semidirect
226. #2454C22semidirect
227. #2454C22semidirect
228. #2453C22semidirect
229. #2453C22semidirect
230. #2448C22semidirect
231. #2448C22semidirect
232. #2446C22semidirect
233. #2446C22semidirect
234. #2442C22semidirect
235. #2442C22semidirect
236. #2441C22semidirect
237. #2441C22semidirect
238. #2441C22semidirect
239. #2439C22semidirect
240. #2429C22semidirect
241. #2426C22semidirect
242. #2423C22semidirect
243. #2423C22semidirect
244. #2423C22semidirect
245. #2421C22semidirect
246. #2421C22semidirect
247. #2421C22semidirect
249. #2415C22semidirect
251. #2414C22semidirect
252. #2409C22semidirect
254. #2407C22semidirect
259. #2378C22semidirect
260. #2363C22semidirect
261. #2362C22semidirect
262. #2362C22semidirect
263. #2362C22semidirect
264. #2354C22semidirect
265. #2352C22semidirect
266. #2351C22semidirect
267. Q8×C4⋊C4C22semidirect
272. #2341C22semidirect
275. Q8×C22⋊C4C22semidirect
276. #2332C22semidirect
277. #2323C22semidirect
278. #2323C22semidirect
285. #2317C22semidirect
286. #2317C22semidirect
289. #2311C22semidirect
290. #2311C22semidirect
401. C2×C22⋊Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35412
C22×#5522
#501772
#488282
#488242
#487872
#454122
#452652
#452642
#452612
#452392
#452382
#452372
#452362
#391342
#391332
#391292
#391222
#391212
#391172
#369562
#365172
#365162
#364832
#364822
#352272
#350932
#350312
#345622
#343702