Finite Group Databasebeta

← #7692249

Subgroups — #7692249

Order 512.

7121 conjugacy classes of subgroups.

The subgroup lattice has 1858 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3524C212yesmaximal, complemented
2#59842C212yesmaximal, complemented
3#59693C212yesmaximal, complemented
4#59667C211yesmaximal, characteristic, complemented
5#59628C212yesmaximal, complemented
6#59159C214yesmaximal, complemented
7#59104C212yesmaximal, complemented
8#59080C211yesmaximal, characteristic, complemented
9#59080C211yesmaximal, characteristic, complemented
10#45296C212yesmaximal, complemented
11#45247C212yesmaximal, complemented
12#44783C214yesmaximal, complemented
13#43920C214yesmaximal, complemented
14#39406C212yesmaximal, complemented
15#39402C212yesmaximal, complemented
16#39386C211yesmaximal, characteristic, complemented
17#39351C211yesmaximal, characteristic, complemented
18#38381C214yesmaximal, complemented
19#38033C212yesmaximal, complemented
20#36596C211yesmaximal, characteristic, complemented
21#36595C211yesmaximal, characteristic, complemented
22#36273C211yesmaximal, characteristic, complemented
23#36273C212yesmaximal, complemented
24#36231C212yesmaximal, complemented
25#36128C211yesmaximal, characteristic, complemented
26#36117C211yesmaximal, characteristic, complemented
27#36115C212yesmaximal, complemented
28#36041C212yesmaximal, complemented
29#35793C212yesmaximal, complemented
30#34914C212yesmaximal, complemented
31#34763C211yesmaximal, characteristic, complemented
32#34311C211yesmaximal, characteristic, complemented
33#34206C211yesmaximal, characteristic, complemented
34C4×#552C211yesmaximal, characteristic, complemented
35#34141C211yesmaximal, characteristic, complemented
36#3524—232no—
37C2×#559C2214yes—
38C2×#559C2212yes—
39C2×#557C2212yes—
40C2×#555C2212yes—
41C2×#555C2214yes—
42C2×#553C2214yes—
43C2×#553C2212yes—
44C2×#552C2214yes—
45C2×#552C2211yescharacteristic
46C2×#550C2212yes—
47C2×D4×Q8C2211yescharacteristic
48C2×#548C2212yes—
49C2×#548C2212yes—
50C2×#542C2212yes—
51C2×#542C2214yes—
52C2×#540C2214yes—
53C2×#540C2212yes—
54C2×#532C2211yescharacteristic
55C2×#532C2211yescharacteristic
56C2×#529C2214yes—
57C2×#529C2212yes—
58C2×#529C2214yes—
59C2×#529C2212yes—
60C2×#520C2212yes—
61C2×#519C2212yes—
62C2×C4×#41C2212yes—
63#2867C2211yescharacteristic
64#2858C2212yes—
65#2858C2212yes—
66#2856C2211yescharacteristic
67#2856C2211yescharacteristic
68#2856C2212yes—
69#2854C2212yes—
70#2850C2214yes—
71#2723C2214yes—
72#2713C2214yes—
73#2712C2214yes—
74#2711C2214yes—
75#2711C2214yes—
76#2710C2214yes—
77#2709C2214yes—
78#2707C2214yes—
79#2703C2214yes—
80#2703C2214yes—
81#2702C2214yes—
82#2692C2214yes—
83#2676C2214yes—
84#2676C2214yes—
85#2674C2214yes—
86#2673C2214yes—
87#2673C2214yes—
88#2673C2214yes—
89#2672C2214yes—
90#2672C2214yes—
91#2671C2214yes—
92#2635C2214yes—
93#2632C2214yes—
94#2624C2212yes—
95#2619C2212yes—
96#2610C2214yes—
97#2610C2214yes—
98#2610C2214yes—
99#2609C2214yes—
100#2600C2214yes—
101#2598C2214yes—
102#2581C2212yes—
103#2560C2214yes—
104#2559C2214yes—
105#2558C2214yes—
106#2557C2214yes—
107#2555C2214yes—
108#2555C2214yes—
109#2555C2214yes—
110#2554C2214yes—
111#2552C2211yescharacteristic
112#2551C2211yescharacteristic
113#2551C2212yes—
114#2548C2211yescharacteristic
115#2548C2212yes—
116#2548C2212yes—
117#2548C2211yescharacteristic
118#2548C2212yes—
119#2544C2214yes—
120#2543C2214yes—
121#2542C2212yes—
122#2541C2212yes—
123#2541C2212yes—
124#2541C2212yes—
125#2541C2212yes—
126#2541C2211yescharacteristic
127#2541C2211yescharacteristic
128#2521C2212yes—
129#2519C2212yes—
130#2512C2211yescharacteristic
131#2512C2212yes—
132#2512C2212yes—
133#2512C2212yes—
134#2506C2212yes—
135#2506C2212yes—
136#2506C2211yescharacteristic
137#2501C2212yes—
138#2501C2211yescharacteristic
139#2496C2211yescharacteristic
140#2491C2212yes—
141#2491C2211yescharacteristic
142#2491C2212yes—
143#2491C2212yes—
144#2491C2212yes—
145#2491C2214yes—
146#2491C2212yes—
147#2490C2212yes—
148#2488C2212yes—
149#2486C2211yescharacteristic
150#2481C2214yes—
151#2479C2214yes—
152#2479C2214yes—
153#2477C2214yes—
154#2471C2214yes—
155#2471C2214yes—
156#2471C2214yes—
157#2467C2214yes—
158#2467C2214yes—
159#2467C2214yes—
160#2464C2214yes—
161#2464C2214yes—
162#2463C2214yes—
163#2463C2214yes—
164#2462C2214yes—
165#2461C2214yes—
166#2460C2214yes—
167#2459C2214yes—
168#2459C2214yes—
169#2458C2214yes—
170#2458C2214yes—
171#2458C2214yes—
172#2456C2214yes—
173#2454C2212yes—
174#2453C2212yes—
175#2452C2212yes—
176#2452C2212yes—
177#2452C2212yes—
178#2451C2212yes—
179#2448C2212yes—
180#2448C2212yes—
181#2445C2212yes—
182#2445C2212yes—
183#2445C2214yes—
184#2445C2212yes—
185#2445C2212yes—
186#2445C2212yes—
187#2443C2214yes—
188#2440C2211yescharacteristic
189#2436C2212yes—
190#2436C2212yes—
191#2431C2212yes—
192#2431C2212yes—
193#2428C2212yes—
194#2428C2212yes—
195#2428C2212yes—
196#2428C2212yes—
197#2428C2212yes—
198#2428C2212yes—
199#2428C2212yes—
200#2428C2212yes—
201#2428C2212yes—
202#2427C2214yes—
203#2426C2214yes—
204#2426C2212yes—
205#2426C2212yes—
206#2425C2214yes—
207#2425C2212yes—
208#2422C2212yes—
209#2416C2212yes—
210#2416C2211yescharacteristic
211#2414C2214yes—
212#2414C2212yes—
213#2407C2212yes—
214#2407C2212yes—
215#2398C2214yes—
216#2396C2212yes—
217#2395C2212yes—
218#2392C2214yes—
219#2373C2212yes—
220#2371C2212yes—
221#2370C2211yescharacteristic
222#2367C2212yes—
223#2367C2212yes—
224#2367C2212yes—
225#2367C2212yes—
226#2366C2212yes—
227#2366C2212yes—
228#2366C2212yes—
229#2366C2211yescharacteristic
230#2366C2212yes—
231#2366C2211yescharacteristic
232#2366C2211yescharacteristic
233#2366C2212yes—
234#2366C2211yescharacteristic
235#2365C2211yescharacteristic
236#2365C2212yes—
237#2365C2212yes—
238#2365C2211yescharacteristic
239#2365C2211yescharacteristic
240#2364C2214yes—
241#2363C2214yes—
242#2363C2212yes—
243#2363C2212yes—
244#2362C2214yes—
245#2362C2212yes—
246#2362C2211yescharacteristic
247#2361C2212yes—
248#2361C2212yes—
249#2361C2212yes—
250#2360C2211yescharacteristic
251#2359C2212yes—
252#2356C2211yescharacteristic
253#2354C2212yes—
254#2354C2211yescharacteristic
255#2354C2212yes—
256#2354C2212yes—
257#2352C2214yes—
258#2352C2211yescharacteristic
259Q8×C4⋊C4C2211yescharacteristic
260D4×C4⋊C4C2212yes—
261#2346C2211yescharacteristic
262#2344C2211yescharacteristic
263#2343C2212yes—
264Q8×C22⋊C4C2212yes—
265#2325C2214yes—
266#2323C2212yes—
267#2323C2214yes—
268#2311C2212yes—
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2212yes—
271C4×C4⋊Q8C2211yescharacteristic
272C4×#127C2212yes—
273C4×#125C2212yes—
274C4×#125C2211yescharacteristic
275C4×#126C2212yes—
276C4×C22⋊Q8C2211yescharacteristic
277C4×C22⋊Q8C2211yescharacteristic
278C4×#123C2212yes—
279C4×#123C2212yes—
280C4×#121C2212yes—
281C4×#121C2212yes—
282C4×#121C2212yes—
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic
285#2297C2212yes—
286#2293C2212yes—
287#2293C2211yescharacteristic
288#2293C2212yes—
289#2293C2212yes—
290#2290C2214yes—
291#2290C2214yes—
292#2285C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299C2×C4×C4⋊C4C2211yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×Q8C2312yes—
303#559—232no—
304#559—216no—
305#557—216no—
306#555—216no—
307#555—232no—
308#553—232no—
309#553—216no—
310#552—232no—
311#552D4116yescomplemented
312#550—216no—
313D4×Q8—28no—
314#548—216no—
315#548—216no—
316#542—232no—
317#542—216no—
318#540—216no—
319#540—232no—
320#532—28no—
321#532—28no—
322C2×C4⋊Q8C2312yes—
323C2×C4⋊Q8C2314yes—
324C2×C4⋊Q8C2312yes—
325C2×C4⋊Q8C2311yescharacteristic
326C2×C4⋊Q8C2312yes—
327C2×C4⋊Q8C2311yescharacteristic
328C2×#127C2311yescharacteristic
329C2×#127C2311yescharacteristic
330C2×#127C2312yes—
331C2×#127C2314yes—
332C2×#127C2312yes—
333C2×#127C2312yes—
334C2×#127C2312yes—
335C2×#127C2312yes—
336C2×#127C2312yes—
337C2×#127C2312yes—
338C2×#127C2312yes—
339#529—232no—
340#529—216no—
341#529—216no—
342#529—232no—
343C2×#126C2314yes—
344C2×#126C2312yes—
345C2×#126C2312yes—
346C2×#126C2314yes—
347C2×#126C2314yes—
348C2×#126C2312yes—
349C2×#125C2312yes—
350C2×#125C2312yes—
351C2×#125C2314yes—
352C2×#125C2314yes—
353C2×#125C2311yescharacteristic
354C2×#125C2312yes—
355C2×#124C2314yes—
356C2×#124C2314yes—
357C2×#124C2312yes—
358C2×#124C2312yes—
359C2×#124C2314yes—
360C2×#124C2312yes—
361C2×#124C2312yes—
362C2×#124C2314yes—
363C2×#124C2314yes—
364C2×#124C2312yes—
365C2×#124C2314yes—
366C2×#124C2314yes—
367C2×#124C2314yes—
368C2×#123C2314yes—
369C2×#123C2314yes—
370C2×#123C2314yes—
371C2×#123C2312yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2312yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2312yes—
378C2×#123C2314yes—
379C2×#123C2312yes—
380C2×C22⋊Q8C2314yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2314yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2314yes—
385C2×C22⋊Q8C2314yes—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2311yescharacteristic
388C2×C22⋊Q8C2311yescharacteristic
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2314yes—
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2314yes—
396C2×#121C2312yes—
397C2×#121C2314yes—
398C2×#121C2314yes—
399C2×#121C2314yes—
400C2×#121C2314yes—
401C2×#121C2312yes—
402C2×#121C2314yes—
403C2×#121C2312yes—
404C2×#121C2312yes—
405C2×#121C2314yes—
406C2×#121C2311yescharacteristic
407C2×#121C2312yes—
408C2×#121C2312yes—
409C2×#121C2312yes—
410C2×#121C2312yes—
411C2×#121C2314yes—
412C2×#121C2311yescharacteristic
413C2×#121C2314yes—
414C2×#121C2314yes—
415C2×#121C2312yes—
416C2×#121C2312yes—
417#520—216no—
418#519—216no—
419C4×#41—216no—
420C2×C4×Q8C2312yes—
421C2×C4×Q8C2314yes—
422C2×C4×Q8C2312yes—
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2311yescharacteristic
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2314yes—
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2312yes—
429C2×C4×Q8C2314yes—
430C2×C4×Q8C2311yescharacteristic
431C2×C4×Q8C2311yescharacteristic
432C2×C4×D4C2314yes—
433C2×C4×D4C2314yes—
434C2×C4×D4C2314yes—
435C2×C4×D4C2314yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2311yescharacteristic
440C2×C4×D4C2314yes—
441C2×C4×D4C2314yes—
442C2×C4×D4C2314yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2314yes—
446C2×C4×D4C2314yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2314yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2314yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2312yes—
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2311yescharacteristic
462C2×#117C2312yes—
463C2×#117C2314yes—
464C2×#117C2312yes—
465C2×#117C2314yes—
466C2×#117C2314yes—
467C2×#117C2314yes—
468C2×#117C2312yes—
469C2×#117C2314yes—
470C2×#117C2314yes—
471C2×#117C2312yes—
472C2×#117C2311yescharacteristic
473C2×#117C2312yes—
474C2×#117C2311yescharacteristic
475C22×C4⋊C4C2314yes—
476C22×C4⋊C4C2311yescharacteristic
477C22×C4⋊C4C2311yescharacteristic
478C22×C4⋊C4C2311yescharacteristic
479C22×C4⋊C4C2311yescharacteristic
480C22×C42C2314yes—
481C22×C42C2312yes—
482C22×C42C2311yescharacteristic
483C22×C42C2311yescharacteristic
484C22×C42C2312yes—
485#400C2314yes—
486#400C2314yes—
487#400C2312yes—
488#400C2312yes—
489#399C2312yes—
490#399C2314yes—
491#399C2314yes—
492#399C2314yes—
493#399C2314yes—
494#399C2312yes—
495#398C2314yes—
496#398C2314yes—
497#398C2312yes—
498#398C2312yes—
499#398C2312yes—
500#398C2314yes—
501#397C2314yes—
502#397C2312yes—
503#397C2314yes—
504#397C2312yes—
505#397C2312yes—
506#397C2314yes—
507#397C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2312yes—
513#396C2312yes—
514#396C2314yes—
515#395C2314yes—
516#395C2314yes—
517#395C2314yes—
518#395C2312yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2312yes—
531#394C2314yes—
532#394C2312yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#393C2314yes—
544#393C2312yes—
545#393C2314yes—
546#393C2314yes—
547#393C2314yes—
548#393C2314yes—
549#393C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#391C2314yes—
564#391C2312yes—
565#391C2312yes—
566#391C2312yes—
567#391C2312yes—
568#391C2314yes—
569#391C2312yes—
570#391C2314yes—
571#391C2311yescharacteristic
572#391C2311yescharacteristic
573#390C2314yes—
574#390C2312yes—
575#390C2312yes—
576#390C2314yes—
577#390C2312yes—
578#390C2312yes—
579#390C2314yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2314yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2314yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2311yescharacteristic
593#390C2312yes—
594#390C2314yes—
595#390C2314yes—
596#390C2314yes—
597#390C2314yes—
598#390C2312yes—
599#390C2311yescharacteristic
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2311yescharacteristic
604#390C2312yes—
605#390C2312yes—
606#390C2314yes—
607#390C2314yes—
608#390C2314yes—
609#390C2312yes—
610#390C2312yes—
611#390C2311yescharacteristic
612#389C2311yescharacteristic
613#389C2311yescharacteristic
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2311yescharacteristic
618#389C2314yes—
619#389C2312yes—
620#389C2311yescharacteristic
621#389C2311yescharacteristic
622#389C2312yes—
623#389C2312yes—
624#389C2314yes—
625#389C2312yes—
626#389C2312yes—
627#389C2311yescharacteristic
628#389C2311yescharacteristic
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2314yes—
634#389C2311yescharacteristic
635#389C2312yes—
636#389C2311yescharacteristic
637#389C2311yescharacteristic
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2312yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2312yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2312yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2312yes—
663#388C2312yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2312yes—
670#388C2312yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#387C2312yes—
684#387C2312yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2312yes—
692#387C2314yes—
693#387C2312yes—
694#387C2312yes—
695#387C2314yes—
696#387C2312yes—
697#387C2312yes—
698#387C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2312yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2312yes—
725#386C2314yes—
726#386C2314yes—
727#386C2312yes—
728#386C2312yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2312yes—
733#385C2312yes—
734#385C2314yes—
735#385C2314yes—
736#385C2312yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2312yes—
741#384C2311yescharacteristic
742#384C2311yescharacteristic
743#384C2312yes—
744#384C2312yes—
745#384C2311yescharacteristic
746#384C2311yescharacteristic
747#383C2312yes—
748#382C2311yescharacteristic
749#382C2312yes—
750#382C2312yes—
751#381C2312yes—
752#381C2312yes—
753#380C2314yes—
754#380C2314yes—
755#380C2312yes—
756#380C2314yes—
757#380C2312yes—
758#380C2311yescharacteristic
759#380C2311yescharacteristic
760#380C2314yes—
761#380C2311yescharacteristic
762#380C2311yescharacteristic
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2314yes—
816C4×C22⋊C4C2314yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2314yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2314yes—
823C4×C22⋊C4C2314yes—
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2311yescharacteristic
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2311yescharacteristic
829#376C2312yes—
830#376C2312yes—
831#376C2312yes—
832C2×#95C2312yes—
833C2×#95C2312yes—
834C43C2312yes—
835C43C2311yescharacteristic
836C43C2312yes—
837C2×#41—28no—
838C2×#41—28no—
839C2×#41—28no—
840C2×#41—28no—
841C2×#41—44no—
842C2×#41—44no—
843C22×Q8—28no—
844C22×Q8—28no—
845C22×Q8—44no—
846C22×Q8C2414yes—
847C22×Q8C2411yescharacteristic
848C22×Q8C2412yes—
849C22×Q8C2414yes—
850C22×Q8C2412yes—
851C22×D4C2411yescharacteristic
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2411yescharacteristic
873C23×C4C2411yescharacteristic
874C23×C4C2412yes—
875C23×C4C2411yescharacteristic
876C23×C4C2414yes—
877C23×C4C2414yes—
878C23×C4C2414yes—
879C23×C4C2411yescharacteristic
880C23×C4C2411yescharacteristic
881C23×C4C2414yes—
882C23×C4C2414yes—
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2414yes—
886C23×C4C2414yes—
887C23×C4C2411yescharacteristic
888C23×C4C2411yescharacteristic
889C23×C4C2412yes—
890C23×C4C2412yes—
891C4⋊Q8—216no—
892C4⋊Q8—28no—
893C4⋊Q8—28no—
894C4⋊Q8—44no—
895C4⋊Q8—42no—
896C4⋊Q8#4118yes—
897#127—216no—
898#127—28no—
899#127—24no—
900#127—24no—
901#127—44no—
902#127—44no—
903#127—44no—
904#127—44no—
905#127—44no—
906#127—44no—
907#127—82no—
908#126—28no—
909#126—216no—
910#126—216no—
911#126—216no—
912#126—28no—
913#126C2×D4116yes—
914#125—28no—
915#125—216no—
916#125—28no—
917#125—216no—
918#125C2×D4116yes—
919#125C2×D418yes—
920#124—28no—
921#124—28no—
922#124—28no—
923#124—28no—
924#124—216no—
925#124—28no—
926#124—216no—
927#124—216no—
928#124—216no—
929#124—216no—
930#124—216no—
931#124—84no—
932#124—84no—
933#123—28no—
934#123—216no—
935#123—216no—
936#123—216no—
937#123—216no—
938#123—216no—
939#123—216no—
940#123—216no—
941#123—28no—
942#123—44no—
943#123—84no—
944#123C2×D4116yes—
945C22⋊Q8—28no—
946C22⋊Q8—216no—
947C22⋊Q8—216no—
948C22⋊Q8—216no—
949C22⋊Q8—216no—
950C22⋊Q8—28no—
951C22⋊Q8—84no—
952C22⋊Q8C2×D418yes—
953C22⋊Q8C2×D418yes—
954#121—28no—
955#121—28no—
956#121—216no—
957#121—28no—
958#121—216no—
959#121—28no—
960#121—28no—
961#121—216no—
962#121—28no—
963#121—28no—
964#121—28no—
965#121—28no—
966#121—216no—
967#121—216no—
968#121—216no—
969#121—216no—
970#121—216no—
971#121—48no—
972#121—44no—
973#121—42no—
974#121—44no—
975#121—42no—
976#121—44no—
977#121—44no—
978#121—84no—
979#121—82no—
980#121—82no—
981#121—84no—
982C4×Q8—28no—
983C4×Q8—28no—
984C4×Q8—28no—
985C4×Q8—216no—
986C4×Q8—28no—
987C4×Q8—216no—
988C4×Q8—216no—
989C4×Q8—28no—
990C4×Q8—28no—
991C4×Q8—24no—
992C4×Q8—42no—
993C4×Q8C2×D418yes—
994C4×D4—216no—
995C4×D4—216no—
996C4×D4—28no—
997C4×D4—28no—
998C4×D4—216no—
999C4×D4—28no—
1000C4×D4—28no—
1001C4×D4—28no—
1002C4×D4—28no—
1003C4×D4—216no—
1004C4×D4—216no—
1005C4×D4—216no—
1006C4×D4—28no—
1007C4×D4—28no—
1008C4×D4—28no—
1009C4×D4—28no—
1010C4×D4—28no—
1011C4×D4—216no—
1012C4×D4—216no—
1013C4×D4—216no—
1014C4×D4—216no—
1015C4×D4—24no—
1016C4×D4—42no—
1017C4×D4—44no—
1018C4×D4—44no—
1019C4×D4—44no—
1020C4×D4—48no—
1021C4×D4—44no—
1022C4×D4—42no—
1023C4×D4C2×D418yes—
1024#117—28no—
1025#117—216no—
1026#117—28no—
1027#117—216no—
1028#117—216no—
1029#117—216no—
1030#117—28no—
1031#117—216no—
1032#117—216no—
1033#117—44no—
1034#117—42no—
1035#117C2×D418yes—
1036#117C2×D4116yes—
1037C2×C4⋊C4—216no—
1038C2×C4⋊C4—42no—
1039C2×C4⋊C4—42no—
1040C2×C4⋊C4—42no—
1041C2×C4⋊C4C2×D418yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2411yescharacteristic
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2411yescharacteristic
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2411yescharacteristic
1137C2×C22⋊C4C2411yescharacteristic
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2411yescharacteristic
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2411yescharacteristic
1168C2×C42—28no—
1169C2×C42—216no—
1170C2×C42—24no—
1171C2×C42—24no—
1172C2×C42—44no—
1173C2×C42C2412yes—
1174C2×C42C2414yes—
1175C2×C42C2412yes—
1176C2×C42C2414yes—
1177C2×C42C2414yes—
1178C2×C42C2412yes—
1179C2×C42C2414yes—
1180C2×C42C2412yes—
1181C2×C42C2414yes—
1182C2×C42C2412yes—
1183C2×C42C2414yes—
1184C2×C42C2411yescharacteristic
1185C2×C42C2412yes—
1186C2×C42C2411yescharacteristic
1187C2×C42C2411yescharacteristic
1188C2×C42C2411yescharacteristic
1189C2×C42C2412yes—
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2412yes—
1193C2×C42C2412yes—
1194C2×C42C2411yescharacteristic
1195C2×C42C2411yescharacteristic
1196C2×C42C2411yescharacteristic
1197C2×C42C2412yes—
1198C2×C42C2411yescharacteristic
1199C2×C42C2412yes—
1200C2×C42C2412yes—
1201C2×C42C2412yes—
1202C2×C42C2412yes—
1203C2×C42C2412yes—
1204C2×C42C2411yescharacteristic
1205C2×C42C2412yes—
1206C2×C42C2412yes—
1207C2×C42C2412yes—
1208C2×C42C2412yes—
1209C2×C42C2411yescharacteristic
1210C2×C42C2411yescharacteristic
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2411yescharacteristic
1220#95C2411yescharacteristic
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2414yes—
1232#95C2412yes—
1233#95C2414yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2411yescharacteristic
1237#95C2411yescharacteristic
1238#95C2414yes—
1239#95C2411yescharacteristic
1240#95C2411yescharacteristic
1241#95C2412yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2414yes—
1249#95C2412yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265C24C2512yes—
1266C24C2514yes—
1267C24C2514yes—
1268C24C2511yescharacteristic
1269C24C2511yescharacteristic
1270#41—432no—
1271#41—432no—
1272C2×Q8—24no—
1273C2×Q8—28no—
1274C2×Q8—28no—
1275C2×Q8—24no—
1276C2×Q8—22no—
1277C2×Q8—28no—
1278C2×Q8—22no—
1279C2×Q8—24no—
1280C2×Q8—44no—
1281C2×Q8—44no—
1282C2×Q8—42no—
1283C2×Q8—44no—
1284C2×Q8—42no—
1285C2×Q8—432no—
1286C2×Q8C22×D414yes—
1287C2×Q8C2×#4118yes—
1288C2×D4—28no—
1289C2×D4—28no—
1290C2×D4—24no—
1291C2×D4—24no—
1292C2×D4—28no—
1293C2×D4—28no—
1294C2×D4—24no—
1295C2×D4—24no—
1296C2×D4—28no—
1297C2×D4—28no—
1298C2×D4—28no—
1299C2×D4—28no—
1300C2×D4—22no—
1301C2×D4—24no—
1302C2×D4—24no—
1303C2×D4—28no—
1304C2×D4—28no—
1305C2×D4—24no—
1306C2×D4—24no—
1307C2×D4—24no—
1308C2×D4—24no—
1309C2×D4—24no—
1310C2×D4—24no—
1311C2×D4—24no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—24no—
1315C2×D4—24no—
1316C2×D4—24no—
1317C2×D4—28no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—42no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—42no—
1327C2×D4—42no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—42no—
1332C2×D4—42no—
1333C2×D4—42no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—42no—
1341C2×D4—42no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—44no—
1352C2×D4—44no—
1353C2×D4C22×D414yes—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—24no—
1359C22×C4—24no—
1360C22×C4—28no—
1361C22×C4—28no—
1362C22×C4—28no—
1363C22×C4—24no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—28no—
1367C22×C4—28no—
1368C22×C4—28no—
1369C22×C4—24no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—24no—
1375C22×C4—28no—
1376C22×C4—28no—
1377C22×C4—28no—
1378C22×C4—28no—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—42no—
1382C22×C4—42no—
1383C22×C4—44no—
1384C22×C4—44no—
1385C22×C4—44no—
1386C22×C4—42no—
1387C22×C4—42no—
1388C22×C4—42no—
1389C22×C4—42no—
1390C22×C4—44no—
1391C22×C4—44no—
1392C22×C4—44no—
1393C22×C4—44no—
1394C22×C4—44no—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—44no—
1398C22×C4—44no—
1399C22×C4—41no—
1400C22×C4—41no—
1401C22×C4—42no—
1402C22×C4—44no—
1403C22×C4—42no—
1404C22×C4—42no—
1405C22×C4C22×D414yes—
1406C22×C4C22×D414yes—
1407C22×C4C22×D418yes—
1408C22×C4C2511yescharacteristic
1409C22×C4C2512yes—
1410C22×C4C2512yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C22×C4C2512yes—
1415C22×C4C2511yescharacteristic
1416C22×C4C2512yes—
1417C22×C4C2512yes—
1418C22×C4C2512yes—
1419C22×C4C2512yes—
1420C22×C4C2512yes—
1421C22×C4C2512yes—
1422C22×C4C2512yes—
1423C22×C4C2514yes—
1424C22×C4C2512yes—
1425C22×C4C2511yescharacteristic
1426C22×C4C2512yes—
1427C22×C4C2511yescharacteristic
1428C22×C4C2511yescharacteristic
1429C22×C4C2512yes—
1430C22×C4C2512yes—
1431C22×C4C2512yes—
1432C22×C4C2511yescharacteristic
1433C22×C4C2511yescharacteristic
1434C22×C4C2514yes—
1435C22×C4C2511yescharacteristic
1436C22×C4C2511yescharacteristic
1437C22×C4C2511yescharacteristic
1438C4⋊C4—24no—
1439C4⋊C4—28no—
1440C4⋊C4—28no—
1441C4⋊C4—24no—
1442C4⋊C4—24no—
1443C4⋊C4—28no—
1444C4⋊C4—28no—
1445C4⋊C4—24no—
1446C4⋊C4—28no—
1447C4⋊C4—24no—
1448C4⋊C4—24no—
1449C4⋊C4—28no—
1450C4⋊C4—28no—
1451C4⋊C4—28no—
1452C4⋊C4—24no—
1453C4⋊C4—24no—
1454C4⋊C4—24no—
1455C4⋊C4—24no—
1456C4⋊C4—22no—
1457C4⋊C4—24no—
1458C4⋊C4—22no—
1459C4⋊C4—28no—
1460C4⋊C4—22no—
1461C4⋊C4—22no—
1462C4⋊C4—22no—
1463C4⋊C4—22no—
1464C4⋊C4—22no—
1465C4⋊C4—22no—
1466C4⋊C4—24no—
1467C4⋊C4—22no—
1468C4⋊C4—22no—
1469C4⋊C4—24no—
1470C4⋊C4—24no—
1471C4⋊C4—22no—
1472C4⋊C4—42no—
1473C4⋊C4—42no—
1474C4⋊C4—42no—
1475C4⋊C4—42no—
1476C4⋊C4—41no—
1477C4⋊C4—41no—
1478C4⋊C4—42no—
1479C4⋊C4—42no—
1480C4⋊C4—42no—
1481C4⋊C4—44no—
1482C4⋊C4—42no—
1483C4⋊C4—42no—
1484C4⋊C4—44no—
1485C4⋊C4—42no—
1486C4⋊C4—42no—
1487C4⋊C4—44no—
1488C4⋊C4C22×D418yes—
1489C4⋊C4C22×D414yes—
1490C4⋊C4C22×D414yes—
1491C4⋊C4C22×D418yes—
1492C4⋊C4C22×D418yes—
1493C4⋊C4C22×D414yes—
1494C4⋊C4C22×D418yes—
1495C4⋊C4C22×D414yes—
1496C4⋊C4C22×D418yes—
1497C4⋊C4C22×D418yes—
1498C4⋊C4C2×#4118yes—
1499C4⋊C4C2×#4118yes—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—28no—
1507C22⋊C4—28no—
1508C22⋊C4—28no—
1509C22⋊C4—28no—
1510C22⋊C4—28no—
1511C22⋊C4—28no—
1512C22⋊C4—28no—
1513C22⋊C4—28no—
1514C22⋊C4—24no—
1515C22⋊C4—28no—
1516C22⋊C4—24no—
1517C22⋊C4—28no—
1518C22⋊C4—28no—
1519C22⋊C4—28no—
1520C22⋊C4—28no—
1521C22⋊C4—28no—
1522C22⋊C4—28no—
1523C22⋊C4—28no—
1524C22⋊C4—28no—
1525C22⋊C4—28no—
1526C22⋊C4—24no—
1527C22⋊C4—22no—
1528C22⋊C4—22no—
1529C22⋊C4—24no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—41no—
1539C22⋊C4—41no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—42no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—42no—
1547C22⋊C4—42no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—42no—
1555C22⋊C4—42no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—42no—
1559C22⋊C4C22×D414yes—
1560C22⋊C4C22×D418yes—
1561C22⋊C4C22×D418yes—
1562C22⋊C4C22×D418yes—
1563C22⋊C4C22×D414yes—
1564C42—24no—
1565C42—24no—
1566C42—28no—
1567C42—24no—
1568C42—28no—
1569C42—24no—
1570C42—28no—
1571C42—28no—
1572C42—28no—
1573C42—24no—
1574C42—28no—
1575C42—22no—
1576C42—22no—
1577C42—22no—
1578C42—22no—
1579C42—22no—
1580C42—22no—
1581C42—24no—
1582C42—24no—
1583C42—24no—
1584C42—24no—
1585C42—22no—
1586C42—22no—
1587C42—24no—
1588C42—22no—
1589C42—22no—
1590C42—42no—
1591C42—42no—
1592C42—42no—
1593C42—42no—
1594C42—42no—
1595C42—42no—
1596C42—42no—
1597C42—41no—
1598C42C22×D418yes—
1599C42C22×D418yes—
1600C42C22×D414yes—
1601C42C2×#4114yes—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—24no—
1615C23—24no—
1616C23—22no—
1617C23—22no—
1618C23—24no—
1619C23—24no—
1620C23—22no—
1621C23—24no—
1622C23—24no—
1623C23—24no—
1624C23—24no—
1625C23—24no—
1626C23—24no—
1627C23—24no—
1628C23—24no—
1629C23—22no—
1630C23—22no—
1631C23—22no—
1632C23—24no—
1633C23—22no—
1634C23—24no—
1635C23C23×D412yes—
1636C23C23×D412yes—
1637C23C2611yescharacteristic
1638Q8—28no—
1639Q8—216no—
1640Q8—416no—
1641Q8—88no—
1642Q8—84no—
1643D4—44no—
1644D4—416no—
1645D4—416no—
1646D4—48no—
1647D4—48no—
1648D4—44no—
1649D4—48no—
1650D4—48no—
1651D4—88no—
1652D4—88no—
1653D4—84no—
1654D4—84no—
1655D4—88no—
1656D4—88no—
1657D4—88no—
1658D4—84no—
1659D4—88no—
1660D4—88no—
1661D4—84no—
1662D4—164no—
1663D4—164no—
1664D4—164no—
1665C2×C4—24no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—22no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—24no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—22no—
1687C2×C4—28no—
1688C2×C4—28no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—24no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—21no—
1715C2×C4—22no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—24no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—21no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—21no—
1734C2×C4—22no—
1735C2×C4—21no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—24no—
1740C2×C4—48no—
1741C2×C4—416no—
1742C2×C4—416no—
1743C2×C4—416no—
1744C2×C4—48no—
1745C2×C4—44no—
1746C2×C4—44no—
1747C2×C4—88no—
1748C2×C4—82no—
1749C2×C4—82no—
1750C2×C4—88no—
1751C2×C4—88no—
1752C2×C4—88no—
1753C2×C4—84no—
1754C2×C4—84no—
1755C2×C4—84no—
1756C2×C4C23×D414yes—
1757C2×C4C23×D412yes—
1758C2×C4C23×D412yes—
1759C2×C4C23×D414yes—
1760C2×C4C23×D414yes—
1761C2×C4C23×D414yes—
1762C2×C4C23×D412yes—
1763C2×C4C23×D412yes—
1764C2×C4C23×D412yes—
1765C2×C4C22×#4112yes—
1766C2×C4C22×#4118yes—
1767C2×C4C22×#4112yes—
1768C2×C4C22×#4112yes—
1769C2×C4#58512yes—
1770C2×C4#58512yes—
1771C2×C4#58512yes—
1772C2×C4#58512yes—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—44no—
1788C22—44no—
1789C22—42no—
1790C22—44no—
1791C22—44no—
1792C22—42no—
1793C22—44no—
1794C22—44no—
1795C22—42no—
1796C22—42no—
1797C22—44no—
1798C22—44no—
1799C22—44no—
1800C22—44no—
1801C22—42no—
1802C22—42no—
1803C22—44no—
1804C22—44no—
1805C22—44no—
1806C22—42no—
1807C22—44no—
1808C22C24×D411yescharacteristic
1809C22C23×#4111yescharacteristic
1810C22C2×#58511yescharacteristic
1811C22C2×#58511yescharacteristic
1812C22C2×#58511yescharacteristic
1813C22C2×#58511yescharacteristic
1814C22H(7,𝔽2)11yescharacteristic
1815C4—24no—
1816C4—22no—
1817C4—22no—
1818C4—22no—
1819C4—24no—
1820C4—24no—
1821C4—22no—
1822C4—22no—
1823C4—22no—
1824C4—28no—
1825C4—24no—
1826C4—42no—
1827C4—42no—
1828C4—44no—
1829C4—42no—
1830C4—42no—
1831C4—41no—
1832C4—41no—
1833C4—42no—
1834C4—41no—
1835C4—41no—
1836C4—42no—
1837C4—42no—
1838C4—42no—
1839C4—42no—
1840C4—42no—
1841C4—42no—
1842C4—41no—
1843C4D4×#4114yes—
1844C4#352414yescomplemented
1845C2—42no—
1846C2—42no—
1847C2—84no—
1848C2—84no—
1849C2—82no—
1850C2C2×D4×#4111yescharacteristic
1851C2C2×#352411yescharacteristic
1852C2#6281211yescharacteristic
1853C2#6296611yescharacteristic
1854C2#6300311yescharacteristic
1855C2#6300611yescharacteristic
1856C2#6303011yescharacteristic
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×#3524C2semidirect
2. #59842C2semidirect
3. #59693C2semidirect
4. #59667C2semidirect
5. #59628C2semidirect
6. #59159C2semidirect
7. #59104C2semidirect
8. #59080C2semidirect
9. #59080C2semidirect
10. #45296C2semidirect
11. #45247C2semidirect
12. #44783C2semidirect
13. #43920C2semidirect
14. #39406C2semidirect
15. #39402C2semidirect
16. #39386C2semidirect
17. #39351C2semidirect
18. #38381C2semidirect
19. #38033C2semidirect
20. #36596C2semidirect
21. #36595C2semidirect
22. #36273C2semidirect
23. #36273C2semidirect
24. #36231C2semidirect
25. #36128C2semidirect
26. #36117C2semidirect
27. #36115C2semidirect
28. #36041C2semidirect
29. #35793C2semidirect
30. #34914C2semidirect
31. #34763C2semidirect
32. #34311C2semidirect
33. #34206C2semidirect
34. C4×#552C2semidirect
35. #34141C2semidirect
311. #552D4semidirect
1844. C4#3524semidirect

Maximal subgroups

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

subgroupindex
C2×#35242
#598422
#596932
#596672
#596282
#591592
#591042
#590802
#452962
#452472
#447832
#439202
#394062
#394022
#393862
#393512
#383812
#380332
#365962
#365952
#362732
#362312
#361282
#361172
#361152
#360412
#357932
#349142
#347632
#343112
#342062
C4×#5522
#341412