Finite Group Databasebeta

← #7678422

Subgroups — #7678422

Order 512.

6783 conjugacy classes of subgroups.

The subgroup lattice has 1817 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3515C211yesmaximal, characteristic
2C22×#557C211yesmaximal, characteristic, complemented
3#59833C212yesmaximal, complemented
4#59667C212yesmaximal, complemented
5#59658C212yesmaximal, complemented
6#59656C212yesmaximal, complemented
7#59154C212yesmaximal, complemented
8#59152C212yesmaximal, complemented
9#59085C212yesmaximal, complemented
10#59082C212yesmaximal, complemented
11#44845C214yesmaximal, complemented
12#44735C214yesmaximal, complemented
13#44665C214yesmaximal, complemented
14#44663C214yesmaximal, complemented
15#39465C212yesmaximal, complemented
16#39465C211yesmaximal, characteristic, complemented
17#39337C212yesmaximal, complemented
18#39337C211yesmaximal, characteristic, complemented
19#39134C211yesmaximal, characteristic, complemented
20#39122C211yesmaximal, characteristic, complemented
21#38045C212yesmaximal, complemented
22#38029C212yesmaximal, complemented
23#36582C211yesmaximal, characteristic, complemented
24#36547C211yesmaximal, characteristic, complemented
25#36423C211yesmaximal, characteristic, complemented
26#36422C211yesmaximal, characteristic, complemented
27#35468C212yesmaximal, complemented
28#35453C212yesmaximal, complemented
29#35111C211yesmaximal, characteristic, complemented
30#35092C212yesmaximal, complemented
31#34972C211yesmaximal, characteristic, complemented
32#34971C211yesmaximal, characteristic, complemented
33#34266C212yesmaximal, complemented
34#34239C211yesmaximal, characteristic, complemented
35C4×#536C211yesmaximal, characteristic, complemented
36#3515—216no—
37C2×#557—216no—
38C2×#557C2212yes—
39C2×#557C2212yes—
40C2×#557C2212yes—
41C2×#557C2212yes—
42C2×#557C2211yescharacteristic
43C2×#557C2214yes—
44C2×#557C2214yes—
45C2×#554C2211yescharacteristic
46C2×#554C2211yescharacteristic
47C2×#553C2211yescharacteristic
48C2×#553C2211yescharacteristic
49C2×#552C2211yescharacteristic
50C2×#552C2211yescharacteristic
51C2×#552C2212yes—
52C2×#552C2212yes—
53C2×#552C2212yes—
54C2×#547C2211yescharacteristic
55C2×#547C2212yes—
56C2×#541C2212yes—
57C2×#539C2212yes—
58C2×#539C2212yes—
59C2×#536C2211yescharacteristic
60C2×#536C2212yes—
61C2×#533C2211yescharacteristic
62C22×C4⋊Q8C2212yes—
63C22×C4⋊Q8C2211yescharacteristic
64C2×#529C2211yescharacteristic
65C2×#529C2211yescharacteristic
66C2×#529C2211yescharacteristic
67C22×#125C2211yescharacteristic
68C22×#125C2212yes—
69C22×#125C2212yes—
70C22×#125C2211yescharacteristic
71C22×#125C2211yescharacteristic
72C2×#520C2212yes—
73C2×C4×#41C2211yescharacteristic
74C22×C4×Q8C2212yes—
75C22×C4×Q8C2211yescharacteristic
76C22×C4×Q8C2211yescharacteristic
77C22×C4×Q8C2211yescharacteristic
78C22×C4×Q8C2211yescharacteristic
79#2855C2212yes—
80#2855C2211yescharacteristic
81#2855C2211yescharacteristic
82#2854C2212yes—
83#2854C2211yescharacteristic
84#2854C2211yescharacteristic
85#2853C2212yes—
86#2853C2212yes—
87#2726C2214yes—
88#2725C2214yes—
89#2721C2214yes—
90#2720C2214yes—
91#2719C2214yes—
92#2719C2214yes—
93#2716C2214yes—
94#2716C2214yes—
95#2716C2214yes—
96#2713C2214yes—
97#2713C2214yes—
98#2713C2214yes—
99#2713C2214yes—
100#2711C2214yes—
101#2707C2214yes—
102#2704C2214yes—
103#2694C2214yes—
104#2690C2214yes—
105#2677C2214yes—
106#2677C2214yes—
107#2677C2214yes—
108#2674C2214yes—
109#2674C2214yes—
110#2674C2214yes—
111#2627C2212yes—
112#2623C2212yes—
113#2618C2212yes—
114#2614C2212yes—
115#2614C2212yes—
116#2614C2212yes—
117#2604C2214yes—
118#2604C2214yes—
119#2599C2214yes—
120#2599C2212yes—
121#2599C2212yes—
122#2592C2212yes—
123#2591C2212yes—
124#2584C2212yes—
125#2583C2212yes—
126#2581C2212yes—
127#2581C2212yes—
128#2580C2212yes—
129#2579C2212yes—
130#2579C2212yes—
131#2565C2212yes—
132#2558C2214yes—
133#2558C2214yes—
134#2558C2214yes—
135#2556C2214yes—
136#2556C2214yes—
137#2556C2214yes—
138#2552C2212yes—
139#2551C2212yes—
140#2551C2214yes—
141#2550C2214yes—
142#2550C2212yes—
143#2550C2212yes—
144#2545C2212yes—
145#2536C2212yes—
146#2519C2214yes—
147#2519C2214yes—
148#2519C2214yes—
149#2506C2214yes—
150#2506C2214yes—
151#2506C2214yes—
152#2503C2212yes—
153#2503C2211yescharacteristic
154#2501C2212yes—
155#2501C2211yescharacteristic
156#2492C2212yes—
157#2492C2214yes—
158#2491C2214yes—
159#2491C2212yes—
160#2490C2212yes—
161#2489C2212yes—
162#2486C2212yes—
163#2486C2211yescharacteristic
164#2486C2212yes—
165#2486C2211yescharacteristic
166#2484C2212yes—
167#2484C2212yes—
168#2484C2212yes—
169#2475C2214yes—
170#2475C2214yes—
171#2475C2214yes—
172#2473C2214yes—
173#2473C2214yes—
174#2473C2214yes—
175#2469C2214yes—
176#2469C2214yes—
177#2469C2214yes—
178#2469C2214yes—
179#2465C2214yes—
180#2465C2214yes—
181#2465C2214yes—
182#2465C2214yes—
183#2462C2214yes—
184#2462C2214yes—
185#2462C2214yes—
186#2462C2214yes—
187#2462C2214yes—
188#2462C2214yes—
189#2462C2214yes—
190#2460C2214yes—
191#2460C2214yes—
192#2460C2214yes—
193#2458C2214yes—
194#2458C2214yes—
195#2458C2214yes—
196#2458C2214yes—
197#2454C2212yes—
198#2453C2212yes—
199#2453C2212yes—
200#2453C2212yes—
201#2452C2214yes—
202#2452C2212yes—
203#2451C2212yes—
204#2451C2214yes—
205#2451C2212yes—
206#2451C2212yes—
207#2442C2212yes—
208#2441C2212yes—
209#2440C2212yes—
210#2440C2214yes—
211#2439C2212yes—
212#2439C2214yes—
213#2436C2211yescharacteristic
214#2434C2211yescharacteristic
215#2429C2212yes—
216#2429C2212yes—
217#2426C2212yes—
218#2426C2212yes—
219#2413C2212yes—
220#2413C2212yes—
221#2413C2212yes—
222#2413C2212yes—
223#2413C2212yes—
224#2413C2212yes—
225#2409C2211yescharacteristic
226#2409C2211yescharacteristic
227#2406C2212yes—
228#2406C2212yes—
229#2406C2212yes—
230#2399C2212yes—
231#2398C2212yes—
232#2396C2214yes—
233#2371C2214yes—
234#2370C2212yes—
235#2370C2212yes—
236#2367C2214yes—
237#2367C2212yes—
238#2367C2214yes—
239#2367C2212yes—
240#2365C2214yes—
241#2365C2212yes—
242#2365C2214yes—
243#2365C2212yes—
244#2362C2212yes—
245#2362C2214yes—
246#2362C2212yes—
247#2362C2214yes—
248#2360C2212yes—
249#2360C2212yes—
250#2360C2214yes—
251#2360C2214yes—
252#2345C2211yescharacteristic
253#2345C2211yescharacteristic
254#2344C2211yescharacteristic
255#2344C2212yes—
256#2344C2211yescharacteristic
257#2344C2212yes—
258#2336C2214yes—
259#2327C2212yes—
260#2326C2212yes—
261#2323C2212yes—
262#2323C2212yes—
263#2322C2211yescharacteristic
264#2322C2212yes—
265#2322C2212yes—
266#2322C2211yescharacteristic
267#2322C2211yescharacteristic
268#2322C2211yescharacteristic
269#2322C2212yes—
270#2322C2212yes—
271#2317C2211yescharacteristic
272#2313C2212yes—
273#2311C2211yescharacteristic
274#2310C2211yescharacteristic
275#2310C2212yes—
276C4×C4⋊Q8C2212yes—
277C4×C4⋊Q8C2212yes—
278C4×#125C2212yes—
279C4×#125C2212yes—
280C4×#124C2212yes—
281C4×#124C2212yes—
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2212yes—
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2212yes—
286C4×#123C2212yes—
287C4×#123C2212yes—
288C4×#123C2211yescharacteristic
289C4×#123C2211yescharacteristic
290C4×#123C2211yescharacteristic
291C4×#123C2211yescharacteristic
292C4×#123C2212yes—
293C4×#123C2212yes—
294C4×#123C2212yes—
295C4×#123C2212yes—
296#2297C2212yes—
297#2296C2212yes—
298#2283C2211yescharacteristic
299#2274C2212yes—
300C4×#117C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C23×Q8C2311yescharacteristic
304C23×Q8C2311yescharacteristic
305C23×Q8C2312yes—
306#557—216no—
307#557—216no—
308#557—232no—
309#557—232no—
310#557—216no—
311#557—216no—
312#557—28no—
313#554—28no—
314#554—28no—
315#553—28no—
316#553—28no—
317#552—216no—
318#552—28no—
319#552—216no—
320#552—28no—
321#552—216no—
322#547—28no—
323#547—216no—
324#541—216no—
325#539—216no—
326#539—216no—
327#536—28no—
328#536—216no—
329#533—28no—
330C2×C4⋊Q8—216no—
331C2×C4⋊Q8—28no—
332C2×C4⋊Q8C2312yes—
333C2×C4⋊Q8C2312yes—
334C2×C4⋊Q8C2314yes—
335C2×C4⋊Q8C2314yes—
336C2×C4⋊Q8C2314yes—
337C2×C4⋊Q8C2314yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2314yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2314yes—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2312yes—
345#529—28no—
346#529—28no—
347#529—28no—
348C2×#126C2312yes—
349C2×#126C2312yes—
350C2×#126C2312yes—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#125—28no—
356C2×#125—216no—
357C2×#125—216no—
358C2×#125—28no—
359C2×#125D4116yes—
360C2×#125C2311yescharacteristic
361C2×#125C2312yes—
362C2×#125C2314yes—
363C2×#125C2312yes—
364C2×#125C2312yes—
365C2×#125C2312yes—
366C2×#125C2311yescharacteristic
367C2×#125C2311yescharacteristic
368C2×#125C2314yes—
369C2×#125C2314yes—
370C2×#125C2314yes—
371C2×#125C2314yes—
372C2×#125C2314yes—
373C2×#125C2314yes—
374C2×#125C2314yes—
375C2×#125C2314yes—
376C2×#125C2312yes—
377C2×#125C2312yes—
378C2×#125C2312yes—
379C2×#125C2312yes—
380C2×#125C2312yes—
381C2×#125C2311yescharacteristic
382C2×#125C2311yescharacteristic
383C2×#125C2312yes—
384C2×#125C2311yescharacteristic
385C2×#125C2311yescharacteristic
386C2×#125C2312yes—
387C2×#124C2312yes—
388C2×#124C2311yescharacteristic
389C2×#124C2314yes—
390C2×#124C2312yes—
391C2×#123C2311yescharacteristic
392C2×#123C2312yes—
393C2×#123C2311yescharacteristic
394C2×#123C2312yes—
395C2×#123C2311yescharacteristic
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×#123C2311yescharacteristic
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2311yescharacteristic
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2314yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×#121C2312yes—
428C2×#121C2311yescharacteristic
429C2×#121C2311yescharacteristic
430C2×#121C2311yescharacteristic
431C2×#121C2312yes—
432#520—216no—
433C4×#41—28no—
434C2×C4×Q8—28no—
435C2×C4×Q8—216no—
436C2×C4×Q8—28no—
437C2×C4×Q8—28no—
438C2×C4×Q8—28no—
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2311yescharacteristic
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2314yes—
451C2×C4×Q8C2314yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2311yescharacteristic
460C2×C4×Q8C2314yes—
461C2×C4×Q8C2314yes—
462C2×C4×Q8C2314yes—
463C2×C4×Q8C2314yes—
464C2×C4×Q8C2312yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2312yes—
480C2×#117C2311yescharacteristic
481C2×#117C2312yes—
482C2×#117C2311yescharacteristic
483C2×#117C2311yescharacteristic
484C2×#117C2311yescharacteristic
485C2×#117C2312yes—
486C2×#117C2312yes—
487C2×#117C2312yes—
488C2×#117C2312yes—
489C2×#117C2311yescharacteristic
490C2×#117C2311yescharacteristic
491C2×#117C2312yes—
492C2×#117C2311yescharacteristic
493C2×#117C2312yes—
494C22×C4⋊C4C2311yescharacteristic
495C22×C4⋊C4C2311yescharacteristic
496C22×C4⋊C4C2311yescharacteristic
497C22×C4⋊C4C2312yes—
498C22×C4⋊C4C2312yes—
499C22×C4⋊C4C2312yes—
500C22×C4⋊C4C2312yes—
501C22×C4⋊C4C2311yescharacteristic
502C22×C4⋊C4C2311yescharacteristic
503C22×C4⋊C4C2312yes—
504C22×C4⋊C4C2312yes—
505C22×C4⋊C4C2311yescharacteristic
506C22×C4⋊C4C2312yes—
507C22×C4⋊C4C2312yes—
508C22×C4⋊C4C2312yes—
509C22×C4⋊C4C2312yes—
510C22×C4⋊C4C2311yescharacteristic
511C22×C4⋊C4C2312yes—
512C22×C4⋊C4C2311yescharacteristic
513C22×C42C2312yes—
514C22×C42C2311yescharacteristic
515C22×C42C2311yescharacteristic
516C22×C42C2312yes—
517C22×C42C2312yes—
518C22×C42C2311yescharacteristic
519C22×C42C2311yescharacteristic
520C22×C42C2311yescharacteristic
521#400C2314yes—
522#400C2314yes—
523#400C2314yes—
524#400C2314yes—
525#400C2314yes—
526#400C2314yes—
527#400C2314yes—
528#400C2314yes—
529#400C2314yes—
530#399C2314yes—
531#399C2314yes—
532#399C2314yes—
533#399C2314yes—
534#398C2314yes—
535#398C2314yes—
536#398C2314yes—
537#398C2314yes—
538#398C2314yes—
539#398C2314yes—
540#398C2312yes—
541#398C2312yes—
542#398C2314yes—
543#398C2314yes—
544#398C2314yes—
545#398C2314yes—
546#398C2314yes—
547#398C2314yes—
548#398C2314yes—
549#398C2314yes—
550#398C2314yes—
551#398C2314yes—
552#398C2314yes—
553#398C2314yes—
554#397C2314yes—
555#397C2312yes—
556#397C2312yes—
557#397C2314yes—
558#397C2314yes—
559#396C2314yes—
560#396C2314yes—
561#396C2314yes—
562#396C2314yes—
563#396C2314yes—
564#396C2314yes—
565#396C2314yes—
566#396C2314yes—
567#396C2314yes—
568#396C2314yes—
569#395C2314yes—
570#395C2314yes—
571#395C2314yes—
572#395C2314yes—
573#395C2312yes—
574#395C2312yes—
575#395C2314yes—
576#395C2314yes—
577#395C2314yes—
578#395C2314yes—
579#395C2314yes—
580#395C2314yes—
581#395C2314yes—
582#395C2314yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#394C2314yes—
588#393C2314yes—
589#393C2314yes—
590#393C2312yes—
591#393C2312yes—
592#393C2314yes—
593#393C2314yes—
594#393C2314yes—
595#393C2314yes—
596#393C2314yes—
597#391C2312yes—
598#391C2312yes—
599#391C2312yes—
600#391C2312yes—
601#391C2312yes—
602#391C2312yes—
603#391C2312yes—
604#391C2312yes—
605#391C2314yes—
606#391C2314yes—
607#391C2314yes—
608#391C2314yes—
609#391C2312yes—
610#391C2312yes—
611#391C2312yes—
612#391C2312yes—
613#391C2314yes—
614#391C2314yes—
615#391C2314yes—
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2314yes—
620#390C2314yes—
621#390C2314yes—
622#390C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2314yes—
632#389C2314yes—
633#389C2312yes—
634#389C2312yes—
635#389C2314yes—
636#389C2314yes—
637#389C2314yes—
638#389C2314yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2314yes—
646#389C2314yes—
647#389C2314yes—
648#389C2314yes—
649#389C2314yes—
650#389C2314yes—
651#389C2314yes—
652#389C2314yes—
653#389C2314yes—
654#389C2314yes—
655#389C2314yes—
656#389C2314yes—
657#389C2314yes—
658#389C2314yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2312yes—
668#388C2312yes—
669#388C2312yes—
670#388C2312yes—
671#388C2314yes—
672#388C2314yes—
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#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2312yes—
704#387C2312yes—
705#387C2312yes—
706#387C2312yes—
707#387C2314yes—
708#387C2314yes—
709#387C2312yes—
710#387C2312yes—
711#387C2312yes—
712#387C2312yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
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#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#386C2311yescharacteristic
740#386C2311yescharacteristic
741#386C2311yescharacteristic
742#386C2311yescharacteristic
743#386C2312yes—
744#386C2312yes—
745#386C2312yes—
746#386C2312yes—
747#386C2312yes—
748#386C2312yes—
749#385C2311yescharacteristic
750#385C2311yescharacteristic
751#385C2311yescharacteristic
752#385C2311yescharacteristic
753#385C2312yes—
754#385C2312yes—
755#385C2314yes—
756#385C2314yes—
757#385C2312yes—
758#385C2312yes—
759#385C2312yes—
760#385C2312yes—
761#385C2314yes—
762#385C2314yes—
763#385C2312yes—
764#385C2314yes—
765#385C2314yes—
766#385C2312yes—
767#385C2312yes—
768#385C2312yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#384C2312yes—
776#384C2312yes—
777#384C2314yes—
778#383C2312yes—
779#382C2312yes—
780#382C2312yes—
781#382C2312yes—
782#382C2314yes—
783#381C2311yescharacteristic
784#381C2312yes—
785#381C2311yescharacteristic
786#381C2311yescharacteristic
787#381C2312yes—
788#381C2312yes—
789#381C2311yescharacteristic
790#381C2312yes—
791#381C2312yes—
792#381C2312yes—
793#381C2312yes—
794#381C2312yes—
795#381C2312yes—
796#380C2312yes—
797#380C2312yes—
798#380C2312yes—
799#380C2312yes—
800#380C2311yescharacteristic
801#380C2311yescharacteristic
802#380C2314yes—
803#380C2314yes—
804#380C2312yes—
805#380C2312yes—
806C4×C4⋊C4C2314yes—
807C4×C4⋊C4C2314yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2314yes—
811C4×C4⋊C4C2314yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2314yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2314yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2314yes—
824C4×C4⋊C4C2314yes—
825C4×C4⋊C4C2314yes—
826C4×C4⋊C4C2314yes—
827C4×C4⋊C4C2314yes—
828C4×C4⋊C4C2314yes—
829C4×C4⋊C4C2314yes—
830C4×C4⋊C4C2314yes—
831C4×C22⋊C4C2311yescharacteristic
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2311yescharacteristic
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2314yes—
849C4×C22⋊C4C2314yes—
850#376C2312yes—
851#376C2312yes—
852C43C2312yes—
853C2×#41—24no—
854C2×#41—28no—
855C2×#41—24no—
856C2×#41—28no—
857C2×#41—42no—
858C2×#41—44no—
859C22×Q8—28no—
860C22×Q8—24no—
861C22×Q8—28no—
862C22×Q8—24no—
863C22×Q8—24no—
864C22×Q8—28no—
865C22×Q8—44no—
866C22×Q8—42no—
867C22×Q8C2412yes—
868C22×Q8C2411yescharacteristic
869C22×Q8C2412yes—
870C22×Q8C2414yes—
871C22×Q8C2411yescharacteristic
872C22×Q8C2412yes—
873C22×Q8C2412yes—
874C22×Q8C2414yes—
875C22×Q8C2412yes—
876C22×Q8C2412yes—
877C22×D4C2411yescharacteristic
878C22×D4C2411yescharacteristic
879C22×D4C2412yes—
880C22×D4C2411yescharacteristic
881C22×D4C2412yes—
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C23×C4C2411yescharacteristic
885C23×C4C2412yes—
886C23×C4C2412yes—
887C23×C4C2411yescharacteristic
888C23×C4C2411yescharacteristic
889C23×C4C2412yes—
890C23×C4C2411yescharacteristic
891C23×C4C2412yes—
892C23×C4C2411yescharacteristic
893C23×C4C2412yes—
894C23×C4C2411yescharacteristic
895C23×C4C2411yescharacteristic
896C23×C4C2411yescharacteristic
897C23×C4C2411yescharacteristic
898C23×C4C2411yescharacteristic
899C23×C4C2412yes—
900C23×C4C2411yescharacteristic
901C23×C4C2412yes—
902C23×C4C2412yes—
903C23×C4C2411yescharacteristic
904C23×C4C2412yes—
905C23×C4C2411yescharacteristic
906C4⋊Q8—28no—
907C4⋊Q8—216no—
908C4⋊Q8—216no—
909C4⋊Q8—216no—
910C4⋊Q8—216no—
911C4⋊Q8—28no—
912C4⋊Q8—28no—
913C4⋊Q8—216no—
914C4⋊Q8—24no—
915C4⋊Q8—24no—
916C4⋊Q8—28no—
917C4⋊Q8—28no—
918C4⋊Q8—216no—
919#126—28no—
920#126—28no—
921#126—28no—
922#126—28no—
923#126—28no—
924#126—28no—
925#126—28no—
926#125—28no—
927#125—28no—
928#125—24no—
929#125—24no—
930#125—216no—
931#125—216no—
932#125—216no—
933#125—216no—
934#125—216no—
935#125—216no—
936#125—28no—
937#125—28no—
938#125—216no—
939#125—216no—
940#125—216no—
941#125—28no—
942#125—28no—
943#125—28no—
944#125—28no—
945#125—28no—
946#125—24no—
947#125C2×D418yes—
948#125C2×D418yes—
949#125C2×D4116yes—
950#125C2×D4116yes—
951#125C2×D418yes—
952#125C2×D418yes—
953#124—28no—
954#124—28no—
955#124—216no—
956#124—24no—
957#123—24no—
958#123—28no—
959#123—28no—
960#123—28no—
961#123—28no—
962#123—24no—
963#123—28no—
964#123—28no—
965#123—28no—
966#123—28no—
967#123—28no—
968#123—28no—
969#123—28no—
970#123—24no—
971#123—28no—
972#123—44no—
973#123—44no—
974#123—44no—
975#123#4118yes—
976C22⋊Q8—28no—
977C22⋊Q8—28no—
978C22⋊Q8—24no—
979C22⋊Q8—28no—
980C22⋊Q8—24no—
981C22⋊Q8—24no—
982C22⋊Q8—28no—
983C22⋊Q8—28no—
984C22⋊Q8—28no—
985C22⋊Q8—28no—
986C22⋊Q8—28no—
987C22⋊Q8—28no—
988C22⋊Q8—28no—
989C22⋊Q8—28no—
990C22⋊Q8—216no—
991C22⋊Q8—28no—
992C22⋊Q8—216no—
993#121—24no—
994#121—28no—
995#121—24no—
996#121—24no—
997#121—28no—
998C4×Q8—28no—
999C4×Q8—28no—
1000C4×Q8—216no—
1001C4×Q8—216no—
1002C4×Q8—216no—
1003C4×Q8—216no—
1004C4×Q8—216no—
1005C4×Q8—28no—
1006C4×Q8—28no—
1007C4×Q8—216no—
1008C4×Q8—28no—
1009C4×Q8—28no—
1010C4×Q8—24no—
1011C4×Q8—24no—
1012C4×Q8—28no—
1013C4×Q8—28no—
1014C4×Q8—28no—
1015C4×Q8—28no—
1016C4×Q8—28no—
1017C4×Q8—28no—
1018C4×Q8—28no—
1019C4×Q8—28no—
1020C4×Q8—28no—
1021C4×Q8—24no—
1022C4×Q8—24no—
1023C4×Q8—24no—
1024C4×D4—24no—
1025C4×D4—24no—
1026C4×D4—24no—
1027C4×D4—24no—
1028C4×D4—28no—
1029C4×D4—28no—
1030C4×D4—28no—
1031C4×D4—28no—
1032C4×D4—28no—
1033C4×D4—28no—
1034C4×D4—24no—
1035C4×D4—24no—
1036C4×D4—24no—
1037C4×D4—24no—
1038C4×D4—24no—
1039#117—24no—
1040#117—28no—
1041#117—28no—
1042#117—28no—
1043#117—28no—
1044#117—24no—
1045#117—24no—
1046#117—24no—
1047#117—28no—
1048#117—24no—
1049#117—24no—
1050#117—28no—
1051#117—42no—
1052#117—44no—
1053C2×C4⋊C4—24no—
1054C2×C4⋊C4—28no—
1055C2×C4⋊C4—24no—
1056C2×C4⋊C4—28no—
1057C2×C4⋊C4—24no—
1058C2×C4⋊C4—28no—
1059C2×C4⋊C4—28no—
1060C2×C4⋊C4—24no—
1061C2×C4⋊C4—28no—
1062C2×C4⋊C4—28no—
1063C2×C4⋊C4—28no—
1064C2×C4⋊C4—28no—
1065C2×C4⋊C4—24no—
1066C2×C4⋊C4—28no—
1067C2×C4⋊C4—24no—
1068C2×C4⋊C4C2×D4116yes—
1069C2×C4⋊C4C2×D418yes—
1070C2×C4⋊C4C2×D418yes—
1071C2×C4⋊C4C2×D4116yes—
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2411yescharacteristic
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C4⋊C4C2411yescharacteristic
1149C2×C4⋊C4C2411yescharacteristic
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×C22⋊C4C2411yescharacteristic
1159C2×C22⋊C4C2411yescharacteristic
1160C2×C22⋊C4C2411yescharacteristic
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2411yescharacteristic
1165C2×C22⋊C4C2411yescharacteristic
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2411yescharacteristic
1168C2×C22⋊C4C2411yescharacteristic
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2411yescharacteristic
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2411yescharacteristic
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2411yescharacteristic
1202C2×C22⋊C4C2412yes—
1203C2×C42—28no—
1204C2×C42—28no—
1205C2×C42—24no—
1206C2×C42—28no—
1207C2×C42—24no—
1208C2×C42—24no—
1209C2×C42—24no—
1210C2×C42C2×D418yes—
1211C2×C42C2411yescharacteristic
1212C2×C42C2411yescharacteristic
1213C2×C42C2412yes—
1214C2×C42C2412yes—
1215C2×C42C2412yes—
1216C2×C42C2412yes—
1217C2×C42C2411yescharacteristic
1218C2×C42C2412yes—
1219C2×C42C2412yes—
1220C2×C42C2414yes—
1221C2×C42C2411yescharacteristic
1222C2×C42C2411yescharacteristic
1223C2×C42C2411yescharacteristic
1224C2×C42C2414yes—
1225C2×C42C2414yes—
1226C2×C42C2412yes—
1227C2×C42C2414yes—
1228C2×C42C2414yes—
1229C2×C42C2412yes—
1230C2×C42C2412yes—
1231C2×C42C2414yes—
1232C2×C42C2414yes—
1233C2×C42C2412yes—
1234C2×C42C2412yes—
1235C2×C42C2412yes—
1236C2×C42C2412yes—
1237C2×C42C2414yes—
1238C2×C42C2412yes—
1239C2×C42C2412yes—
1240C2×C42C2414yes—
1241C2×C42C2414yes—
1242C2×C42C2414yes—
1243C2×C42C2411yescharacteristic
1244C2×C42C2411yescharacteristic
1245C2×C42C2411yescharacteristic
1246C2×C42C2411yescharacteristic
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2414yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2412yes—
1259#95C2414yes—
1260#95C2412yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2412yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2414yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2412yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2412yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304C24C2511yescharacteristic
1305C24C2512yes—
1306C24C2511yescharacteristic
1307C24C2511yescharacteristic
1308#41—416no—
1309#41—432no—
1310C2×Q8—232no—
1311C2×Q8—24no—
1312C2×Q8—24no—
1313C2×Q8—22no—
1314C2×Q8—24no—
1315C2×Q8—22no—
1316C2×Q8—28no—
1317C2×Q8—24no—
1318C2×Q8—28no—
1319C2×Q8—24no—
1320C2×Q8—24no—
1321C2×Q8—24no—
1322C2×Q8—28no—
1323C2×Q8—24no—
1324C2×Q8—28no—
1325C2×Q8—22no—
1326C2×Q8—24no—
1327C2×Q8—28no—
1328C2×Q8—24no—
1329C2×Q8—24no—
1330C2×Q8—44no—
1331C2×Q8—42no—
1332C2×Q8—42no—
1333C2×Q8—44no—
1334C2×Q8—41no—
1335C2×Q8—42no—
1336C2×Q8—44no—
1337C2×Q8—432no—
1338C2×Q8—416no—
1339C2×Q82−1+418yes—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—22no—
1343C2×D4—24no—
1344C2×D4—22no—
1345C2×D4—24no—
1346C2×D4—22no—
1347C2×D4—24no—
1348C2×D4—24no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—24no—
1352C2×D4—22no—
1353C2×D4—24no—
1354C2×D4—24no—
1355C2×D4—41no—
1356C2×D4—42no—
1357C2×D4—44no—
1358C2×D4C2×#4114yes—
1359C22×C4—24no—
1360C22×C4—22no—
1361C22×C4—24no—
1362C22×C4—22no—
1363C22×C4—24no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—28no—
1367C22×C4—24no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—24no—
1371C22×C4—22no—
1372C22×C4—24no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—24no—
1376C22×C4—22no—
1377C22×C4—24no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—24no—
1383C22×C4—24no—
1384C22×C4—24no—
1385C22×C4—22no—
1386C22×C4—24no—
1387C22×C4—24no—
1388C22×C4—22no—
1389C22×C4—22no—
1390C22×C4—24no—
1391C22×C4—24no—
1392C22×C4—24no—
1393C22×C4—42no—
1394C22×C4—44no—
1395C22×C4—42no—
1396C22×C4—42no—
1397C22×C4—42no—
1398C22×C4—42no—
1399C22×C4—41no—
1400C22×C4—41no—
1401C22×C4—42no—
1402C22×C4—44no—
1403C22×C4—42no—
1404C22×C4—44no—
1405C22×C4—44no—
1406C22×C4C22×D414yes—
1407C22×C4C22×D418yes—
1408C22×C4C22×D414yes—
1409C22×C4C22×D414yes—
1410C22×C4C22×D418yes—
1411C22×C4C2×#4114yes—
1412C22×C4C2512yes—
1413C22×C4C2512yes—
1414C22×C4C2514yes—
1415C22×C4C2512yes—
1416C22×C4C2514yes—
1417C22×C4C2511yescharacteristic
1418C22×C4C2511yescharacteristic
1419C22×C4C2512yes—
1420C22×C4C2511yescharacteristic
1421C22×C4C2511yescharacteristic
1422C22×C4C2512yes—
1423C22×C4C2512yes—
1424C22×C4C2512yes—
1425C22×C4C2514yes—
1426C22×C4C2512yes—
1427C22×C4C2512yes—
1428C22×C4C2511yescharacteristic
1429C22×C4C2511yescharacteristic
1430C22×C4C2511yescharacteristic
1431C22×C4C2511yescharacteristic
1432C22×C4C2511yescharacteristic
1433C22×C4C2512yes—
1434C22×C4C2512yes—
1435C22×C4C2512yes—
1436C22×C4C2512yes—
1437C22×C4C2511yescharacteristic
1438C22×C4C2512yes—
1439C22×C4C2512yes—
1440C22×C4C2511yescharacteristic
1441C22×C4C2514yes—
1442C22×C4C2511yescharacteristic
1443C4⋊C4—22no—
1444C4⋊C4—24no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—24no—
1448C4⋊C4—24no—
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—24no—
1452C4⋊C4—24no—
1453C4⋊C4—28no—
1454C4⋊C4—28no—
1455C4⋊C4—24no—
1456C4⋊C4—24no—
1457C4⋊C4—28no—
1458C4⋊C4—28no—
1459C4⋊C4—24no—
1460C4⋊C4—24no—
1461C4⋊C4—28no—
1462C4⋊C4—28no—
1463C4⋊C4—28no—
1464C4⋊C4—28no—
1465C4⋊C4—24no—
1466C4⋊C4—24no—
1467C4⋊C4—24no—
1468C4⋊C4—24no—
1469C4⋊C4—24no—
1470C4⋊C4—24no—
1471C4⋊C4—28no—
1472C4⋊C4—28no—
1473C4⋊C4—28no—
1474C4⋊C4—28no—
1475C4⋊C4—24no—
1476C4⋊C4—22no—
1477C4⋊C4—22no—
1478C4⋊C4—22no—
1479C4⋊C4—22no—
1480C4⋊C4—22no—
1481C4⋊C4—24no—
1482C4⋊C4—24no—
1483C4⋊C4—24no—
1484C4⋊C4—24no—
1485C4⋊C4—24no—
1486C4⋊C4—24no—
1487C4⋊C4—24no—
1488C4⋊C4—28no—
1489C4⋊C4—24no—
1490C4⋊C4—28no—
1491C4⋊C4—24no—
1492C4⋊C4—28no—
1493C4⋊C4—24no—
1494C4⋊C4—28no—
1495C4⋊C4—24no—
1496C4⋊C4—24no—
1497C4⋊C4—28no—
1498C4⋊C4—28no—
1499C4⋊C4—28no—
1500C4⋊C4—28no—
1501C4⋊C4—42no—
1502C4⋊C4—42no—
1503C4⋊C4—44no—
1504C4⋊C4—44no—
1505C4⋊C4—44no—
1506C4⋊C4—44no—
1507C4⋊C4—42no—
1508C4⋊C4—42no—
1509C4⋊C4—42no—
1510C4⋊C4—44no—
1511C4⋊C4—44no—
1512C4⋊C4—44no—
1513C4⋊C4—44no—
1514C4⋊C4C22×D418yes—
1515C4⋊C4C22×D418yes—
1516C4⋊C4C22×D414yes—
1517C4⋊C4C22×D418yes—
1518C4⋊C4C22×D414yes—
1519C4⋊C4C22×D414yes—
1520C4⋊C4C22×D414yes—
1521C4⋊C4C22×D418yes—
1522C4⋊C4C22×D418yes—
1523C4⋊C4C22×D418yes—
1524C4⋊C4C22×D418yes—
1525C4⋊C4C22×D418yes—
1526C4⋊C4C22×D418yes—
1527C4⋊C4C22×D418yes—
1528C4⋊C4C2×#4118yes—
1529C22⋊C4—22no—
1530C22⋊C4—24no—
1531C22⋊C4—22no—
1532C22⋊C4—22no—
1533C22⋊C4—24no—
1534C22⋊C4—24no—
1535C22⋊C4—28no—
1536C22⋊C4—22no—
1537C22⋊C4—22no—
1538C22⋊C4—24no—
1539C22⋊C4—22no—
1540C22⋊C4—24no—
1541C22⋊C4—24no—
1542C22⋊C4—24no—
1543C22⋊C4—22no—
1544C22⋊C4—22no—
1545C22⋊C4—22no—
1546C22⋊C4—24no—
1547C22⋊C4—24no—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—24no—
1551C22⋊C4—24no—
1552C22⋊C4—24no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—24no—
1556C22⋊C4—28no—
1557C22⋊C4—24no—
1558C22⋊C4—28no—
1559C22⋊C4—28no—
1560C22⋊C4—28no—
1561C22⋊C4—28no—
1562C22⋊C4—28no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—42no—
1568C22⋊C4—42no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4C2×#4114yes—
1573C22⋊C4C2×#4118yes—
1574C42—22no—
1575C42—22no—
1576C42—22no—
1577C42—22no—
1578C42—22no—
1579C42—22no—
1580C42—28no—
1581C42—28no—
1582C42—28no—
1583C42—28no—
1584C42—24no—
1585C42—24no—
1586C42—28no—
1587C42—28no—
1588C42—24no—
1589C42—24no—
1590C42—24no—
1591C42—24no—
1592C42—24no—
1593C42—24no—
1594C42—24no—
1595C42—24no—
1596C42—28no—
1597C42—24no—
1598C42—24no—
1599C42—42no—
1600C42—44no—
1601C42—44no—
1602C42—42no—
1603C42—44no—
1604C42—44no—
1605C42—42no—
1606C42C22×D414yes—
1607C42C22×D414yes—
1608C42C22×D414yes—
1609C42C22×D414yes—
1610C23—22no—
1611C23—22no—
1612C23—21no—
1613C23—22no—
1614C23—21no—
1615C23—22no—
1616C23—21no—
1617C23—22no—
1618C23—21no—
1619C23—22no—
1620C23—22no—
1621C23—24no—
1622C23—21no—
1623C23—22no—
1624C23—24no—
1625C23—22no—
1626C23C23×D412yes—
1627C23C22×#4112yes—
1628C23C22×#4112yes—
1629C23#58512yes—
1630C23C2611yescharacteristic
1631Q8—216no—
1632Q8—216no—
1633Q8—416no—
1634Q8—48no—
1635Q8—48no—
1636Q8—416no—
1637Q8—44no—
1638Q8—48no—
1639Q8—44no—
1640Q8—84no—
1641D4—28no—
1642D4—44no—
1643D4—48no—
1644D4—44no—
1645D4—48no—
1646D4—44no—
1647D4—84no—
1648C2×C4—216no—
1649C2×C4—24no—
1650C2×C4—22no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—24no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—24no—
1669C2×C4—24no—
1670C2×C4—216no—
1671C2×C4—28no—
1672C2×C4—28no—
1673C2×C4—28no—
1674C2×C4—21no—
1675C2×C4—22no—
1676C2×C4—21no—
1677C2×C4—22no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—24no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—24no—
1688C2×C4—24no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—24no—
1696C2×C4—24no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—24no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—24no—
1703C2×C4—24no—
1704C2×C4—22no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—24no—
1709C2×C4—24no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—24no—
1718C2×C4—22no—
1719C2×C4—44no—
1720C2×C4—48no—
1721C2×C4—44no—
1722C2×C4—48no—
1723C2×C4—44no—
1724C2×C4—48no—
1725C2×C4—44no—
1726C2×C4—44no—
1727C2×C4—48no—
1728C2×C4—44no—
1729C2×C4—44no—
1730C2×C4—44no—
1731C2×C4—82no—
1732C2×C4—84no—
1733C2×C4—82no—
1734C2×C4—84no—
1735C2×C4—84no—
1736C2×C4C23×D412yes—
1737C2×C4C23×D412yes—
1738C2×C4C23×D412yes—
1739C2×C4C23×D414yes—
1740C2×C4C23×D414yes—
1741C2×C4C23×D414yes—
1742C2×C4C23×D412yes—
1743C2×C4C23×D414yes—
1744C2×C4C23×D412yes—
1745C2×C4C23×D412yes—
1746C2×C4C22×#4114yes—
1747C2×C4C22×#4114yes—
1748C2×C4C22×#4112yes—
1749C2×C4C2×2−1+418yes—
1750C2×C4C2×2−1+414yes—
1751C22—24no—
1752C22—22no—
1753C22—22no—
1754C22—24no—
1755C22—24no—
1756C22—22no—
1757C22—41no—
1758C22—41no—
1759C22—42no—
1760C22—42no—
1761C22—44no—
1762C22—41no—
1763C22—42no—
1764C22—42no—
1765C22—41no—
1766C22—42no—
1767C22—44no—
1768C22—41no—
1769C22—42no—
1770C22D4×#4114yes—
1771C22C24×D411yescharacteristic
1772C22C23×#4111yescharacteristic
1773C22C22×2−1+412yes—
1774C22C2×#58511yescharacteristic
1775C222−1+612yes—
1776C4—24no—
1777C4—22no—
1778C4—28no—
1779C4—22no—
1780C4—22no—
1781C4—24no—
1782C4—24no—
1783C4—24no—
1784C4—22no—
1785C4—22no—
1786C4—24no—
1787C4—24no—
1788C4—22no—
1789C4—42no—
1790C4—44no—
1791C4—41no—
1792C4—41no—
1793C4—42no—
1794C4—42no—
1795C4—42no—
1796C4—41no—
1797C4—42no—
1798C4—41no—
1799C4—42no—
1800C4—42no—
1801C4—44no—
1802C4—41no—
1803C4—42no—
1804C4—44no—
1805C4—42no—
1806C4#348614yes—
1807C2—24no—
1808C2—42no—
1809C2—81no—
1810C2—82no—
1811C2C2×D4×#4111yescharacteristic
1812C2C2×#348611yescharacteristic
1813C2#6285911yescharacteristic
1814C2#6294912yes—
1815C2#6300112yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#3515C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C22×#557C2semidirect
3. #59833C2semidirect
4. #59667C2semidirect
5. #59658C2semidirect
6. #59656C2semidirect
7. #59154C2semidirect
8. #59152C2semidirect
9. #59085C2semidirect
10. #59082C2semidirect
11. #44845C2semidirect
12. #44735C2semidirect
13. #44665C2semidirect
14. #44663C2semidirect
15. #39465C2semidirect
16. #39465C2semidirect
17. #39337C2semidirect
18. #39337C2semidirect
19. #39134C2semidirect
20. #39122C2semidirect
21. #38045C2semidirect
22. #38029C2semidirect
23. #36582C2semidirect
24. #36547C2semidirect
25. #36423C2semidirect
26. #36422C2semidirect
27. #35468C2semidirect
28. #35453C2semidirect
29. #35111C2semidirect
30. #35092C2semidirect
31. #34972C2semidirect
32. #34971C2semidirect
33. #34266C2semidirect
34. #34239C2semidirect
35. C4×#536C2semidirect

Maximal subgroups

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

subgroupindex
C2×#35152
C22×#5572
#598332
#596672
#596582
#596562
#591542
#591522
#590852
#590822
#448452
#447352
#446652
#446632
#394652
#393372
#391342
#391222
#380452
#380292
#365822
#365472
#364232
#364222
#354682
#354532
#351112
#350922
#349722
#349712
#342662
#342392
C4×#5362