Finite Group Databasebeta

← #7693184

Subgroups — #7693184

Order 512.

6893 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3509C211yesmaximal, characteristic, complemented
2C2×#3507C211yesmaximal, characteristic, complemented
3#59838C214yesmaximal, complemented
4#59653C211yesmaximal, characteristic, complemented
5#59653C212yesmaximal, complemented
6#59586C212yesmaximal, complemented
7#59153C212yesmaximal, complemented
8#59144C211yesmaximal, characteristic, complemented
9#59054C212yesmaximal, complemented
10#59049C211yesmaximal, characteristic, complemented
11#45323C212yesmaximal, complemented
12#45240C212yesmaximal, complemented
13#44768C214yesmaximal, complemented
14#44248C214yesmaximal, complemented
15#39883C212yesmaximal, complemented
16#39879C212yesmaximal, complemented
17#39727C211yesmaximal, characteristic, complemented
18#39726C211yesmaximal, characteristic, complemented
19#39391C214yesmaximal, complemented
20#39356C212yesmaximal, complemented
21#36597C211yesmaximal, characteristic, complemented
22#36545C211yesmaximal, characteristic, complemented
23#36538C211yesmaximal, characteristic, complemented
24#36493C211yesmaximal, characteristic, complemented
25#36271C212yesmaximal, complemented
26#36268C212yesmaximal, complemented
27#36142C212yesmaximal, complemented
28#36122C211yesmaximal, characteristic, complemented
29#35817C212yesmaximal, complemented
30#35787C212yesmaximal, complemented
31#34929C211yesmaximal, characteristic, complemented
32#34919C212yesmaximal, complemented
33#34312C212yesmaximal, complemented
34C4×#557C211yesmaximal, characteristic, complemented
35C4×#548C211yesmaximal, characteristic, complemented
36#3509—216no—
37#3507—216no—
38C2×#559C2211yescharacteristic
39C2×#559C2211yescharacteristic
40C2×#557C2211yescharacteristic
41C2×#557C2212yes—
42C2×#557C2211yescharacteristic
43C2×#557C2211yescharacteristic
44C2×#556C2212yes—
45C2×#556C2211yescharacteristic
46C2×#556C2211yescharacteristic
47C2×#556C2212yes—
48C2×#556C2212yes—
49C2×#556C2212yes—
50C2×#554C2212yes—
51C2×#552C2214yes—
52C2×#552C2212yes—
53C2×#552C2212yes—
54C2×#552C2214yes—
55C2×#548C2212yes—
56C2×#548C2211yescharacteristic
57C2×#541C2214yes—
58C2×#539C2214yes—
59C2×#536C2212yes—
60C2×#536C2212yes—
61C2×#533C2212yes—
62C2×#533C2211yescharacteristic
63C2×#533C2211yescharacteristic
64C2×#533C2212yes—
65C2×#532C2211yescharacteristic
66C22×C4⋊Q8C2211yescharacteristic
67C2×#529C2212yes—
68C2×#529C2212yes—
69C2×#520C2212yes—
70C2×#519C2212yes—
71C2×C4×#41C2211yescharacteristic
72C22×C4×Q8C2211yescharacteristic
73#2861C2212yes—
74#2860C2214yes—
75#2858C2211yescharacteristic
76#2858C2212yes—
77#2857C2211yescharacteristic
78#2856C2211yescharacteristic
79#2851C2212yes—
80#2850C2212yes—
81#2725C2214yes—
82#2725C2214yes—
83#2725C2214yes—
84#2725C2214yes—
85#2714C2214yes—
86#2713C2214yes—
87#2707C2214yes—
88#2707C2214yes—
89#2705C2214yes—
90#2704C2214yes—
91#2702C2214yes—
92#2702C2214yes—
93#2696C2214yes—
94#2694C2214yes—
95#2692C2214yes—
96#2690C2214yes—
97#2683C2214yes—
98#2683C2214yes—
99#2682C2214yes—
100#2682C2214yes—
101#2681C2214yes—
102#2637C2214yes—
103#2636C2214yes—
104#2620C2212yes—
105#2620C2212yes—
106#2609C2214yes—
107#2609C2214yes—
108#2601C2214yes—
109#2601C2214yes—
110#2601C2214yes—
111#2601C2214yes—
112#2592C2212yes—
113#2592C2212yes—
114#2584C2212yes—
115#2582C2211yescharacteristic
116#2582C2212yes—
117#2581C2212yes—
118#2568C2211yescharacteristic
119#2566C2212yes—
120#2560C2214yes—
121#2560C2214yes—
122#2560C2214yes—
123#2558C2214yes—
124#2558C2214yes—
125#2558C2214yes—
126#2556C2214yes—
127#2556C2212yes—
128#2556C2212yes—
129#2554C2214yes—
130#2554C2214yes—
131#2554C2214yes—
132#2551C2211yescharacteristic
133#2550C2212yes—
134#2548C2211yescharacteristic
135#2548C2212yes—
136#2546C2212yes—
137#2546C2211yescharacteristic
138#2546C2211yescharacteristic
139#2545C2212yes—
140#2545C2212yes—
141#2545C2212yes—
142#2545C2212yes—
143#2545C2212yes—
144#2545C2212yes—
145#2545C2212yes—
146#2544C2212yes—
147#2542C2211yescharacteristic
148#2541C2211yescharacteristic
149#2540C2212yes—
150#2540C2212yes—
151#2538C2212yes—
152#2538C2211yescharacteristic
153#2538C2211yescharacteristic
154#2536C2212yes—
155#2535C2212yes—
156#2519C2214yes—
157#2519C2214yes—
158#2519C2214yes—
159#2512C2214yes—
160#2506C2212yes—
161#2492C2211yescharacteristic
162#2492C2211yescharacteristic
163#2491C2212yes—
164#2491C2212yes—
165#2489C2212yes—
166#2489C2214yes—
167#2481C2214yes—
168#2479C2214yes—
169#2477C2214yes—
170#2477C2214yes—
171#2473C2214yes—
172#2473C2214yes—
173#2471C2214yes—
174#2471C2214yes—
175#2469C2214yes—
176#2467C2214yes—
177#2467C2214yes—
178#2465C2214yes—
179#2465C2214yes—
180#2463C2214yes—
181#2462C2214yes—
182#2461C2214yes—
183#2461C2214yes—
184#2461C2214yes—
185#2461C2214yes—
186#2458C2214yes—
187#2456C2214yes—
188#2452C2212yes—
189#2452C2212yes—
190#2452C2214yes—
191#2452C2212yes—
192#2452C2212yes—
193#2451C2212yes—
194#2449C2214yes—
195#2448C2212yes—
196#2448C2212yes—
197#2448C2212yes—
198#2446C2212yes—
199#2446C2212yes—
200#2446C2212yes—
201#2442C2212yes—
202#2441C2212yes—
203#2441C2214yes—
204#2439C2212yes—
205#2436C2212yes—
206#2434C2212yes—
207#2434C2212yes—
208#2432C2212yes—
209#2431C2212yes—
210#2431C2212yes—
211#2429C2214yes—
212#2429C2212yes—
213#2429C2212yes—
214#2429C2211yescharacteristic
215#2429C2211yescharacteristic
216#2427C2212yes—
217#2427C2212yes—
218#2426C2212yes—
219#2426C2212yes—
220#2426C2212yes—
221#2416C2212yes—
222#2416C2212yes—
223#2415C2212yes—
224#2414C2212yes—
225#2396C2212yes—
226#2396C2214yes—
227#2396C2212yes—
228#2392C2214yes—
229#2370C2212yes—
230#2370C2214yes—
231#2367C2214yes—
232#2367C2212yes—
233#2367C2211yescharacteristic
234#2367C2212yes—
235#2367C2212yes—
236#2366C2212yes—
237#2365C2211yescharacteristic
238#2365C2212yes—
239#2365C2212yes—
240#2363C2212yes—
241#2363C2214yes—
242#2363C2212yes—
243#2363C2212yes—
244#2363C2212yes—
245#2362C2212yes—
246#2362C2214yes—
247#2362C2212yes—
248#2362C2211yescharacteristic
249#2361C2212yes—
250#2361C2212yes—
251#2361C2211yescharacteristic
252#2361C2212yes—
253#2360C2214yes—
254#2360C2212yes—
255#2360C2212yes—
256#2355C2211yescharacteristic
257#2355C2212yes—
258#2352C2211yescharacteristic
259#2352C2214yes—
260#2352C2212yes—
261#2351C2212yes—
262#2351C2211yescharacteristic
263#2351C2212yes—
264Q8×C4⋊C4C2211yescharacteristic
265#2341C2212yes—
266#2341C2211yescharacteristic
267Q8×C22⋊C4C2212yes—
268Q8×C22⋊C4C2211yescharacteristic
269#2324C2212yes—
270#2324C2214yes—
271#2323C2212yes—
272#2323C2214yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2212yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2212yes—
277C4×#125C2212yes—
278C4×#125C2214yes—
279C4×#124C2212yes—
280C4×#124C2211yescharacteristic
281C4×#124C2214yes—
282C4×#124C2212yes—
283C4×#124C2212yes—
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2212yes—
287C4×C22⋊Q8C2212yes—
288C4×C22⋊Q8C2211yescharacteristic
289C4×#121C2212yes—
290C4×#121C2211yescharacteristic
291C4×#121C2212yes—
292#2293C2212yes—
293#2293C2214yes—
294#2293C2214yes—
295C42×Q8C2212yes—
296C42×Q8C2212yes—
297C42×Q8C2211yescharacteristic
298C42×Q8C2211yescharacteristic
299C42×D4C2211yescharacteristic
300C42×D4C2212yes—
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C23×Q8C2311yescharacteristic
304C23×Q8C2312yes—
305#559—28no—
306#559—28no—
307#557—28no—
308#557—216no—
309#557—28no—
310#557D4116yescomplemented
311#556—216no—
312#556—28no—
313#556—216no—
314#556—216no—
315#556—28no—
316#556—216no—
317#554—216no—
318#552—232no—
319#552—216no—
320#552—232no—
321#552—216no—
322#548—216no—
323#548—28no—
324#541—232no—
325#539—232no—
326#536—216no—
327#536—216no—
328#533—216no—
329#533—28no—
330#533—28no—
331#533—216no—
332#532—28no—
333C2×C4⋊Q8—28no—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2311yescharacteristic
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2311yescharacteristic
348C2×C4⋊Q8C2312yes—
349C2×#127C2311yescharacteristic
350C2×#127C2312yes—
351#529—216no—
352#529—216no—
353C2×#126C2314yes—
354C2×#126C2314yes—
355C2×#126C2314yes—
356C2×#126C2314yes—
357C2×#126C2314yes—
358C2×#126C2314yes—
359C2×#126C2314yes—
360C2×#126C2314yes—
361C2×#125C2312yes—
362C2×#125C2312yes—
363C2×#125C2312yes—
364C2×#125C2312yes—
365C2×#125C2314yes—
366C2×#125C2314yes—
367C2×#125C2314yes—
368C2×#125C2314yes—
369C2×#125C2314yes—
370C2×#125C2312yes—
371C2×#125C2314yes—
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2312yes—
376C2×#124C2311yescharacteristic
377C2×#124C2312yes—
378C2×#124C2314yes—
379C2×#124C2312yes—
380C2×#124C2312yes—
381C2×#124C2312yes—
382C2×#124C2312yes—
383C2×#124C2312yes—
384C2×#124C2312yes—
385C2×#123C2314yes—
386C2×#123C2314yes—
387C2×#123C2314yes—
388C2×#123C2314yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2311yescharacteristic
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2311yescharacteristic
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2314yes—
414C2×#121C2312yes—
415C2×#121C2314yes—
416C2×#121C2311yescharacteristic
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2312yes—
424#520—216no—
425#519—216no—
426C4×#41—28no—
427C2×C4×Q8—28no—
428C2×C4×Q8C2312yes—
429C2×C4×Q8C2311yescharacteristic
430C2×C4×Q8C2311yescharacteristic
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2311yescharacteristic
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2314yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2311yescharacteristic
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2314yes—
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2314yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2314yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2314yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2314yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2312yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2314yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2311yescharacteristic
478C2×#117C2314yes—
479C2×#117C2312yes—
480C2×#117C2314yes—
481C2×#117C2312yes—
482C2×#117C2314yes—
483C2×#117C2314yes—
484C2×#117C2311yescharacteristic
485C2×#117C2312yes—
486C2×#117C2314yes—
487C2×#117C2312yes—
488C2×#117C2314yes—
489C2×#117C2312yes—
490C22×C4⋊C4C2311yescharacteristic
491C22×C4⋊C4C2314yes—
492C22×C4⋊C4C2312yes—
493C22×C4⋊C4C2312yes—
494C22×C4⋊C4C2312yes—
495C22×C42C2312yes—
496C22×C42C2312yes—
497C22×C42C2311yescharacteristic
498C22×C42C2311yescharacteristic
499#400C2314yes—
500#400C2314yes—
501#400C2314yes—
502#400C2312yes—
503#400C2314yes—
504#400C2312yes—
505#399C2314yes—
506#399C2312yes—
507#399C2314yes—
508#399C2312yes—
509#399C2314yes—
510#398C2312yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2312yes—
518#398C2312yes—
519#398C2312yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#397C2314yes—
524#397C2314yes—
525#397C2314yes—
526#397C2314yes—
527#397C2314yes—
528#396C2314yes—
529#396C2314yes—
530#396C2312yes—
531#396C2314yes—
532#396C2314yes—
533#396C2314yes—
534#396C2314yes—
535#396C2314yes—
536#396C2314yes—
537#396C2314yes—
538#396C2312yes—
539#396C2314yes—
540#396C2314yes—
541#396C2314yes—
542#396C2314yes—
543#396C2314yes—
544#396C2312yes—
545#396C2312yes—
546#396C2314yes—
547#396C2314yes—
548#396C2314yes—
549#395C2314yes—
550#395C2314yes—
551#395C2314yes—
552#395C2314yes—
553#395C2312yes—
554#395C2312yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#393C2314yes—
567#393C2314yes—
568#393C2314yes—
569#393C2314yes—
570#393C2312yes—
571#393C2312yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#391C2312yes—
578#391C2312yes—
579#391C2314yes—
580#391C2311yescharacteristic
581#391C2312yes—
582#391C2312yes—
583#391C2312yes—
584#391C2311yescharacteristic
585#391C2312yes—
586#391C2312yes—
587#391C2312yes—
588#391C2314yes—
589#391C2311yescharacteristic
590#391C2312yes—
591#391C2312yes—
592#391C2312yes—
593#391C2314yes—
594#391C2311yescharacteristic
595#391C2311yescharacteristic
596#391C2312yes—
597#391C2312yes—
598#391C2311yescharacteristic
599#391C2312yes—
600#390C2314yes—
601#390C2314yes—
602#390C2312yes—
603#390C2312yes—
604#390C2314yes—
605#390C2312yes—
606#390C2312yes—
607#390C2314yes—
608#390C2311yescharacteristic
609#390C2312yes—
610#390C2312yes—
611#390C2312yes—
612#390C2312yes—
613#390C2311yescharacteristic
614#390C2314yes—
615#390C2312yes—
616#390C2312yes—
617#390C2312yes—
618#390C2314yes—
619#390C2314yes—
620#390C2314yes—
621#390C2314yes—
622#390C2312yes—
623#390C2312yes—
624#390C2314yes—
625#390C2312yes—
626#390C2314yes—
627#390C2312yes—
628#390C2312yes—
629#389C2312yes—
630#389C2314yes—
631#389C2312yes—
632#389C2314yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2314yes—
638#389C2312yes—
639#389C2314yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2314yes—
645#389C2312yes—
646#389C2314yes—
647#389C2312yes—
648#389C2314yes—
649#389C2312yes—
650#389C2312yes—
651#389C2311yescharacteristic
652#389C2312yes—
653#389C2314yes—
654#389C2311yescharacteristic
655#389C2314yes—
656#389C2314yes—
657#389C2312yes—
658#389C2312yes—
659#389C2314yes—
660#389C2312yes—
661#389C2311yescharacteristic
662#389C2312yes—
663#389C2312yes—
664#389C2311yescharacteristic
665#389C2314yes—
666#388C2312yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
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#388C2312yes—
686#388C2312yes—
687#388C2312yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2312yes—
693#388C2312yes—
694#388C2312yes—
695#388C2312yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2312yes—
700#388C2312yes—
701#388C2314yes—
702#388C2314yes—
703#388C2312yes—
704#388C2314yes—
705#388C2314yes—
706#388C2312yes—
707#388C2312yes—
708#388C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2312yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2312yes—
725#387C2312yes—
726#387C2314yes—
727#387C2314yes—
728#387C2312yes—
729#387C2312yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2312yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2312yes—
740#386C2312yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2312yes—
751#385C2314yes—
752#385C2314yes—
753#385C2312yes—
754#385C2314yes—
755#385C2314yes—
756#385C2312yes—
757#385C2314yes—
758#385C2312yes—
759#385C2312yes—
760#384C2311yescharacteristic
761#384C2311yescharacteristic
762#384C2312yes—
763#384C2312yes—
764#382C2312yes—
765#382C2314yes—
766#382C2312yes—
767#382C2311yescharacteristic
768#382C2312yes—
769#382C2314yes—
770#380C2311yescharacteristic
771#380C2314yes—
772#380C2311yescharacteristic
773#380C2314yes—
774#380C2311yescharacteristic
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2314yes—
780#380C2312yes—
781#380C2311yescharacteristic
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2314yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2314yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2314yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2314yes—
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2314yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2314yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2311yescharacteristic
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2314yes—
822C4×C22⋊C4C2314yes—
823C4×C22⋊C4C2311yescharacteristic
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2311yescharacteristic
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2311yescharacteristic
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2311yescharacteristic
843C43C2314yes—
844C43C2312yes—
845C43C2311yescharacteristic
846C43C2312yes—
847C2×#41—24no—
848C2×#41—28no—
849C2×#41—24no—
850C2×#41—28no—
851C2×#41—42no—
852C2×#41—44no—
853C22×Q8—24no—
854C22×Q8—28no—
855C22×Q8—28no—
856C22×Q8—24no—
857C22×Q8—44no—
858C22×Q8—42no—
859C22×Q8C2411yescharacteristic
860C22×Q8C2411yescharacteristic
861C22×Q8C2411yescharacteristic
862C22×Q8C2412yes—
863C22×Q8C2412yes—
864C22×Q8C2412yes—
865C22×Q8C2414yes—
866C22×Q8C2411yescharacteristic
867C22×Q8C2411yescharacteristic
868C22×Q8C2412yes—
869C22×Q8C2412yes—
870C22×D4C2412yes—
871C22×D4C2411yescharacteristic
872C22×D4C2412yes—
873C22×D4C2414yes—
874C22×D4C2412yes—
875C22×D4C2412yes—
876C22×D4C2414yes—
877C22×D4C2412yes—
878C22×D4C2414yes—
879C22×D4C2414yes—
880C22×D4C2411yescharacteristic
881C23×C4C2411yescharacteristic
882C23×C4C2412yes—
883C23×C4C2411yescharacteristic
884C23×C4C2414yes—
885C23×C4C2411yescharacteristic
886C23×C4C2414yes—
887C23×C4C2412yes—
888C23×C4C2412yes—
889C23×C4C2412yes—
890C23×C4C2411yescharacteristic
891C23×C4C2411yescharacteristic
892C23×C4C2412yes—
893C23×C4C2411yescharacteristic
894C23×C4C2414yes—
895C23×C4C2414yes—
896C4⋊Q8—28no—
897C4⋊Q8—24no—
898C4⋊Q8—24no—
899C4⋊Q8—28no—
900C4⋊Q8—28no—
901C4⋊Q8—28no—
902C4⋊Q8—28no—
903C4⋊Q8—24no—
904C4⋊Q8—24no—
905C4⋊Q8—24no—
906C4⋊Q8—42no—
907C4⋊Q8—44no—
908C4⋊Q8—44no—
909C4⋊Q8C2×D418yes—
910C4⋊Q8C2×D4116yes—
911#127—24no—
912#127—44no—
913#126—216no—
914#126—216no—
915#126—216no—
916#126—216no—
917#126—216no—
918#126—216no—
919#126—216no—
920#126—216no—
921#125—28no—
922#125—28no—
923#125—28no—
924#125—216no—
925#125—216no—
926#125—216no—
927#125—216no—
928#125—216no—
929#125—28no—
930#125C2×D4116yes—
931#125C2×D4132yes—
932#124—28no—
933#124—28no—
934#124—28no—
935#124—28no—
936#124—28no—
937#124—216no—
938#124—28no—
939#124—28no—
940#124—28no—
941#124—28no—
942#124—24no—
943#124—44no—
944#124—44no—
945#123—216no—
946#123—216no—
947#123—216no—
948#123—216no—
949#123—216no—
950#123—216no—
951C22⋊Q8—24no—
952C22⋊Q8—24no—
953C22⋊Q8—28no—
954C22⋊Q8—24no—
955C22⋊Q8—28no—
956C22⋊Q8—24no—
957C22⋊Q8—216no—
958C22⋊Q8—216no—
959C22⋊Q8—28no—
960C22⋊Q8—28no—
961C22⋊Q8—24no—
962C22⋊Q8—216no—
963C22⋊Q8—28no—
964C22⋊Q8—216no—
965C22⋊Q8—216no—
966C22⋊Q8—216no—
967C22⋊Q8—216no—
968C22⋊Q8—216no—
969C22⋊Q8—28no—
970C22⋊Q8—24no—
971C22⋊Q8—24no—
972C22⋊Q8—48no—
973C22⋊Q8—44no—
974#121—28no—
975#121—216no—
976#121—28no—
977#121—24no—
978#121—28no—
979#121—28no—
980#121—28no—
981#121—44no—
982#121—44no—
983#121—44no—
984C4×Q8—24no—
985C4×Q8—24no—
986C4×Q8—28no—
987C4×Q8—28no—
988C4×Q8—28no—
989C4×Q8—24no—
990C4×Q8—216no—
991C4×Q8—28no—
992C4×Q8—28no—
993C4×Q8—216no—
994C4×Q8—24no—
995C4×Q8—28no—
996C4×Q8—24no—
997C4×Q8—216no—
998C4×Q8—28no—
999C4×Q8—28no—
1000C4×Q8—28no—
1001C4×Q8—28no—
1002C4×Q8—24no—
1003C4×Q8—24no—
1004C4×Q8—28no—
1005C4×Q8—24no—
1006C4×Q8—44no—
1007C4×Q8—42no—
1008C4×Q8—42no—
1009C4×Q8—44no—
1010C4×Q8C2×D418yes—
1011C4×Q8C2×D4116yes—
1012C4×Q8C2×D4116yes—
1013C4×Q8C2×D418yes—
1014C4×D4—28no—
1015C4×D4—24no—
1016C4×D4—216no—
1017C4×D4—28no—
1018C4×D4—28no—
1019C4×D4—28no—
1020C4×D4—28no—
1021C4×D4—216no—
1022C4×D4—28no—
1023C4×D4—28no—
1024C4×D4—24no—
1025C4×D4—216no—
1026C4×D4—28no—
1027C4×D4—28no—
1028C4×D4—44no—
1029C4×D4—42no—
1030C4×D4—44no—
1031C4×D4—42no—
1032C4×D4—48no—
1033C4×D4#4118yes—
1034#117—24no—
1035#117—28no—
1036#117—216no—
1037#117—216no—
1038#117—28no—
1039#117—28no—
1040#117—28no—
1041#117—216no—
1042#117—28no—
1043#117—216no—
1044#117—216no—
1045#117—216no—
1046C2×C4⋊C4—24no—
1047C2×C4⋊C4—28no—
1048C2×C4⋊C4—216no—
1049C2×C4⋊C4—28no—
1050C2×C4⋊C4—28no—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2411yescharacteristic
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2411yescharacteristic
1161C2×C22⋊C4C2411yescharacteristic
1162C2×C22⋊C4C2411yescharacteristic
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2411yescharacteristic
1181C2×C22⋊C4C2411yescharacteristic
1182C2×C42—28no—
1183C2×C42—24no—
1184C2×C42—24no—
1185C2×C42—28no—
1186C2×C42C2414yes—
1187C2×C42C2412yes—
1188C2×C42C2414yes—
1189C2×C42C2414yes—
1190C2×C42C2414yes—
1191C2×C42C2412yes—
1192C2×C42C2412yes—
1193C2×C42C2411yescharacteristic
1194C2×C42C2412yes—
1195C2×C42C2412yes—
1196C2×C42C2411yescharacteristic
1197C2×C42C2411yescharacteristic
1198C2×C42C2412yes—
1199C2×C42C2412yes—
1200C2×C42C2411yescharacteristic
1201C2×C42C2412yes—
1202C2×C42C2414yes—
1203C2×C42C2412yes—
1204C2×C42C2411yescharacteristic
1205C2×C42C2411yescharacteristic
1206C2×C42C2411yescharacteristic
1207C2×C42C2412yes—
1208C2×C42C2411yescharacteristic
1209C2×C42C2412yes—
1210C2×C42C2411yescharacteristic
1211C2×C42C2412yes—
1212C2×C42C2414yes—
1213C2×C42C2411yescharacteristic
1214C2×C42C2412yes—
1215C2×C42C2414yes—
1216C2×C42C2414yes—
1217C2×C42C2412yes—
1218C2×C42C2412yes—
1219C2×C42C2412yes—
1220C2×C42C2411yescharacteristic
1221C2×C42C2412yes—
1222C2×C42C2414yes—
1223C2×C42C2412yes—
1224C2×C42C2412yes—
1225C2×C42C2411yescharacteristic
1226C2×C42C2411yescharacteristic
1227#95C2412yes—
1228#95C2411yescharacteristic
1229#95C2411yescharacteristic
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2414yes—
1235#95C2412yes—
1236#95C2411yescharacteristic
1237#95C2411yescharacteristic
1238#95C2412yes—
1239#95C2411yescharacteristic
1240#95C2411yescharacteristic
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2414yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2414yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2414yes—
1259#95C2412yes—
1260#95C2414yes—
1261#95C2412yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2414yes—
1270#95C2412yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2414yes—
1277#95C2412yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281C24C2512yes—
1282C24C2514yes—
1283C24C2511yescharacteristic
1284C24C2511yescharacteristic
1285#41—416no—
1286#41—432no—
1287C2×Q8—24no—
1288C2×Q8—22no—
1289C2×Q8—22no—
1290C2×Q8—24no—
1291C2×Q8—28no—
1292C2×Q8—22no—
1293C2×Q8—24no—
1294C2×Q8—24no—
1295C2×Q8—24no—
1296C2×Q8—22no—
1297C2×Q8—28no—
1298C2×Q8—24no—
1299C2×Q8—22no—
1300C2×Q8—24no—
1301C2×Q8—22no—
1302C2×Q8—22no—
1303C2×Q8—22no—
1304C2×Q8—22no—
1305C2×Q8—22no—
1306C2×Q8—24no—
1307C2×Q8—24no—
1308C2×Q8—22no—
1309C2×Q8—22no—
1310C2×Q8—24no—
1311C2×Q8—22no—
1312C2×Q8—42no—
1313C2×Q8—44no—
1314C2×Q8—42no—
1315C2×Q8—42no—
1316C2×Q8—42no—
1317C2×Q8—432no—
1318C2×Q8—416no—
1319C2×Q8C22×D414yes—
1320C2×Q8C22×D418yes—
1321C2×Q8C22×D414yes—
1322C2×D4—24no—
1323C2×D4—28no—
1324C2×D4—24no—
1325C2×D4—28no—
1326C2×D4—24no—
1327C2×D4—28no—
1328C2×D4—24no—
1329C2×D4—22no—
1330C2×D4—24no—
1331C2×D4—24no—
1332C2×D4—22no—
1333C2×D4—24no—
1334C2×D4—24no—
1335C2×D4—28no—
1336C2×D4—24no—
1337C2×D4—24no—
1338C2×D4—22no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—42no—
1342C2×D4—42no—
1343C2×D4—42no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—42no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—42no—
1351C2×D4—44no—
1352C2×D4—44no—
1353C2×D4—44no—
1354C2×D4C2×#4114yes—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—24no—
1360C22×C4—28no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—24no—
1365C22×C4—24no—
1366C22×C4—24no—
1367C22×C4—24no—
1368C22×C4—28no—
1369C22×C4—28no—
1370C22×C4—24no—
1371C22×C4—28no—
1372C22×C4—24no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—24no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—24no—
1380C22×C4—24no—
1381C22×C4—22no—
1382C22×C4—28no—
1383C22×C4—28no—
1384C22×C4—42no—
1385C22×C4—41no—
1386C22×C4—44no—
1387C22×C4—42no—
1388C22×C4—44no—
1389C22×C4—42no—
1390C22×C4—44no—
1391C22×C4—42no—
1392C22×C4—41no—
1393C22×C4—44no—
1394C22×C4—42no—
1395C22×C4—44no—
1396C22×C4—41no—
1397C22×C4—44no—
1398C22×C4C2×#4114yes—
1399C22×C4C2×#4114yes—
1400C22×C4C2512yes—
1401C22×C4C2511yescharacteristic
1402C22×C4C2512yes—
1403C22×C4C2511yescharacteristic
1404C22×C4C2512yes—
1405C22×C4C2514yes—
1406C22×C4C2512yes—
1407C22×C4C2511yescharacteristic
1408C22×C4C2512yes—
1409C22×C4C2511yescharacteristic
1410C22×C4C2512yes—
1411C22×C4C2512yes—
1412C22×C4C2512yes—
1413C22×C4C2511yescharacteristic
1414C22×C4C2512yes—
1415C22×C4C2514yes—
1416C22×C4C2512yes—
1417C22×C4C2512yes—
1418C22×C4C2512yes—
1419C22×C4C2512yes—
1420C22×C4C2514yes—
1421C22×C4C2511yescharacteristic
1422C22×C4C2512yes—
1423C22×C4C2511yescharacteristic
1424C22×C4C2511yescharacteristic
1425C22×C4C2511yescharacteristic
1426C22×C4C2511yescharacteristic
1427C22×C4C2512yes—
1428C22×C4C2511yescharacteristic
1429C22×C4C2511yescharacteristic
1430C22×C4C2511yescharacteristic
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—28no—
1434C4⋊C4—24no—
1435C4⋊C4—22no—
1436C4⋊C4—28no—
1437C4⋊C4—24no—
1438C4⋊C4—24no—
1439C4⋊C4—24no—
1440C4⋊C4—28no—
1441C4⋊C4—24no—
1442C4⋊C4—24no—
1443C4⋊C4—24no—
1444C4⋊C4—22no—
1445C4⋊C4—24no—
1446C4⋊C4—24no—
1447C4⋊C4—22no—
1448C4⋊C4—24no—
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—28no—
1452C4⋊C4—28no—
1453C4⋊C4—28no—
1454C4⋊C4—28no—
1455C4⋊C4—22no—
1456C4⋊C4—24no—
1457C4⋊C4—28no—
1458C4⋊C4—28no—
1459C4⋊C4—28no—
1460C4⋊C4—24no—
1461C4⋊C4—24no—
1462C4⋊C4—24no—
1463C4⋊C4—24no—
1464C4⋊C4—24no—
1465C4⋊C4—28no—
1466C4⋊C4—24no—
1467C4⋊C4—28no—
1468C4⋊C4—22no—
1469C4⋊C4—24no—
1470C4⋊C4—24no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—24no—
1474C4⋊C4—24no—
1475C4⋊C4—22no—
1476C4⋊C4—22no—
1477C4⋊C4—22no—
1478C4⋊C4—24no—
1479C4⋊C4—42no—
1480C4⋊C4—41no—
1481C4⋊C4—42no—
1482C4⋊C4—42no—
1483C4⋊C4—44no—
1484C4⋊C4—42no—
1485C4⋊C4—44no—
1486C4⋊C4—42no—
1487C4⋊C4—44no—
1488C4⋊C4—44no—
1489C4⋊C4—44no—
1490C4⋊C4—42no—
1491C4⋊C4—44no—
1492C4⋊C4—42no—
1493C4⋊C4—42no—
1494C4⋊C4—42no—
1495C4⋊C4—44no—
1496C4⋊C4C22×D414yes—
1497C4⋊C4C22×D418yes—
1498C4⋊C4C22×D4116yes—
1499C4⋊C4C22×D418yes—
1500C4⋊C4C22×D418yes—
1501C4⋊C4C22×D414yes—
1502C4⋊C4C22×D4116yes—
1503C4⋊C4C22×D418yes—
1504C4⋊C4C22×D4116yes—
1505C4⋊C4C2×#4114yes—
1506C4⋊C42−1+414yes—
1507C22⋊C4—28no—
1508C22⋊C4—24no—
1509C22⋊C4—24no—
1510C22⋊C4—24no—
1511C22⋊C4—24no—
1512C22⋊C4—28no—
1513C22⋊C4—24no—
1514C22⋊C4—24no—
1515C22⋊C4—28no—
1516C22⋊C4—28no—
1517C22⋊C4—24no—
1518C22⋊C4—24no—
1519C22⋊C4—28no—
1520C22⋊C4—28no—
1521C22⋊C4—28no—
1522C22⋊C4—28no—
1523C22⋊C4—28no—
1524C22⋊C4—28no—
1525C22⋊C4—28no—
1526C22⋊C4—28no—
1527C22⋊C4—28no—
1528C22⋊C4—24no—
1529C22⋊C4—28no—
1530C22⋊C4—28no—
1531C22⋊C4—24no—
1532C22⋊C4—24no—
1533C22⋊C4—28no—
1534C22⋊C4—28no—
1535C22⋊C4—24no—
1536C22⋊C4—24no—
1537C22⋊C4—22no—
1538C22⋊C4—28no—
1539C22⋊C4—44no—
1540C22⋊C4—42no—
1541C22⋊C4—42no—
1542C22⋊C4—42no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—41no—
1548C22⋊C4—41no—
1549C22⋊C4—42no—
1550C22⋊C4—41no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4C2×#4114yes—
1561C22⋊C4C2×#4114yes—
1562C42—22no—
1563C42—24no—
1564C42—24no—
1565C42—24no—
1566C42—22no—
1567C42—22no—
1568C42—22no—
1569C42—24no—
1570C42—24no—
1571C42—22no—
1572C42—22no—
1573C42—28no—
1574C42—28no—
1575C42—28no—
1576C42—28no—
1577C42—24no—
1578C42—24no—
1579C42—24no—
1580C42—28no—
1581C42—24no—
1582C42—22no—
1583C42—24no—
1584C42—22no—
1585C42—22no—
1586C42—24no—
1587C42—42no—
1588C42—41no—
1589C42—42no—
1590C42—41no—
1591C42—44no—
1592C42—42no—
1593C42—42no—
1594C42—44no—
1595C42—44no—
1596C42—42no—
1597C42—42no—
1598C42C22×D418yes—
1599C42C22×D414yes—
1600C42C22×D4116yes—
1601C42C22×D418yes—
1602C42C2×#4114yes—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—22no—
1616C23—24no—
1617C23—22no—
1618C23—24no—
1619C23—24no—
1620C23—22no—
1621C23—24no—
1622C23—24no—
1623C23—22no—
1624C23—22no—
1625C23—24no—
1626C23—22no—
1627C23—22no—
1628C23—24no—
1629C23C22×#4112yes—
1630C23C22×#4112yes—
1631C23C2611yescharacteristic
1632Q8—216no—
1633Q8—28no—
1634Q8—28no—
1635Q8—48no—
1636Q8—48no—
1637Q8—416no—
1638Q8—44no—
1639Q8—48no—
1640Q8—44no—
1641Q8—44no—
1642Q8—84no—
1643D4—44no—
1644D4—48no—
1645D4—416no—
1646D4—48no—
1647D4—44no—
1648D4—48no—
1649D4—48no—
1650D4—84no—
1651D4—88no—
1652D4—88no—
1653D4—164no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—24no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—24no—
1670C2×C4—22no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—28no—
1679C2×C4—28no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—21no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—24no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—24no—
1693C2×C4—22no—
1694C2×C4—24no—
1695C2×C4—21no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—24no—
1710C2×C4—22no—
1711C2×C4—24no—
1712C2×C4—22no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—24no—
1721C2×C4—22no—
1722C2×C4—21no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—21no—
1730C2×C4—22no—
1731C2×C4—48no—
1732C2×C4—44no—
1733C2×C4—416no—
1734C2×C4—48no—
1735C2×C4—416no—
1736C2×C4—48no—
1737C2×C4—44no—
1738C2×C4—44no—
1739C2×C4—48no—
1740C2×C4—84no—
1741C2×C4—88no—
1742C2×C4—82no—
1743C2×C4—88no—
1744C2×C4C23×D414yes—
1745C2×C4C23×D414yes—
1746C2×C4C23×D414yes—
1747C2×C4C23×D418yes—
1748C2×C4C23×D412yes—
1749C2×C4C23×D414yes—
1750C2×C4C23×D412yes—
1751C2×C4C23×D412yes—
1752C2×C4C22×#4112yes—
1753C2×C4C22×#4112yes—
1754C2×C4C22×#4112yes—
1755C2×C4C22×#4112yes—
1756C2×C4C22×#4112yes—
1757C2×C4C2×2−1+414yes—
1758C2×C4C2×2−1+412yes—
1759C2×C4#58512yes—
1760C2×C4#58512yes—
1761C2×C4#58512yes—
1762C22—22no—
1763C22—22no—
1764C22—22no—
1765C22—22no—
1766C22—22no—
1767C22—22no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—44no—
1777C22—42no—
1778C22—42no—
1779C22—44no—
1780C22—42no—
1781C22—44no—
1782C22—42no—
1783C22—44no—
1784C22—42no—
1785C22—44no—
1786C22—42no—
1787C22—44no—
1788C22—42no—
1789C22—44no—
1790C22C24×D411yescharacteristic
1791C22C23×#4111yescharacteristic
1792C22C22×2−1+411yescharacteristic
1793C22C2×#58511yescharacteristic
1794C22C2×#58511yescharacteristic
1795C22C2×#58511yescharacteristic
1796C222−1+611yescharacteristic
1797C4—22no—
1798C4—22no—
1799C4—24no—
1800C4—22no—
1801C4—24no—
1802C4—24no—
1803C4—24no—
1804C4—22no—
1805C4—22no—
1806C4—22no—
1807C4—28no—
1808C4—24no—
1809C4—42no—
1810C4—42no—
1811C4—41no—
1812C4—42no—
1813C4—41no—
1814C4—41no—
1815C4—42no—
1816C4—41no—
1817C4—42no—
1818C4—42no—
1819C4—42no—
1820C4—44no—
1821C4—42no—
1822C4—44no—
1823C4—42no—
1824C4—41no—
1825C4—42no—
1826C4D4×#4114yes—
1827C4#349714yes—
1828C2—42no—
1829C2—42no—
1830C2—82no—
1831C2—84no—
1832C2C2×D4×#4111yescharacteristic
1833C2C2×#349711yescharacteristic
1834C2#6281511yescharacteristic
1835C2#6296811yescharacteristic
1836C2#6300111yescharacteristic
1837C2#6300211yescharacteristic
1838C2#6302511yescharacteristic
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×#3509C2semidirect
2. C2×#3507C2semidirect
3. #59838C2semidirect
4. #59653C2semidirect
5. #59653C2semidirect
6. #59586C2semidirect
7. #59153C2semidirect
8. #59144C2semidirect
9. #59054C2semidirect
10. #59049C2semidirect
11. #45323C2semidirect
12. #45240C2semidirect
13. #44768C2semidirect
14. #44248C2semidirect
15. #39883C2semidirect
16. #39879C2semidirect
17. #39727C2semidirect
18. #39726C2semidirect
19. #39391C2semidirect
20. #39356C2semidirect
21. #36597C2semidirect
22. #36545C2semidirect
23. #36538C2semidirect
24. #36493C2semidirect
25. #36271C2semidirect
26. #36268C2semidirect
27. #36142C2semidirect
28. #36122C2semidirect
29. #35817C2semidirect
30. #35787C2semidirect
31. #34929C2semidirect
32. #34919C2semidirect
33. #34312C2semidirect
34. C4×#557C2semidirect
35. C4×#548C2semidirect
310. #557D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35092
C2×#35072
#598382
#596532
#595862
#591532
#591442
#590542
#590492
#453232
#452402
#447682
#442482
#398832
#398792
#397272
#397262
#393912
#393562
#365972
#365452
#365382
#364932
#362712
#362682
#361422
#361222
#358172
#357872
#349292
#349192
#343122
C4×#5572
C4×#5482