Finite Group Databasebeta

← #7732007

Subgroups — #7732007

Order 512.

7438 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3536C211yesmaximal, characteristic, complemented
2C2×#3459C211yesmaximal, characteristic, complemented
3#47874C214yesmaximal, complemented
4#47869C214yesmaximal, complemented
5#46833C214yesmaximal, complemented
6#46380C214yesmaximal, complemented
7#43020C214yesmaximal, complemented
8#42997C214yesmaximal, complemented
9#39422C212yesmaximal, complemented
10#39412C212yesmaximal, complemented
11#39371C212yesmaximal, complemented
12#39367C212yesmaximal, complemented
13#38920C212yesmaximal, complemented
14#38903C212yesmaximal, complemented
15#38040C212yesmaximal, complemented
16#38024C212yesmaximal, complemented
17#37839C212yesmaximal, complemented
18#37659C212yesmaximal, complemented
19#37439C211yesmaximal, characteristic, complemented
20#37277C212yesmaximal, complemented
21#37268C212yesmaximal, complemented
22#36154C212yesmaximal, complemented
23#36096C212yesmaximal, complemented
24#35568C212yesmaximal, complemented
25#35518C212yesmaximal, complemented
26#35306C211yesmaximal, characteristic, complemented
27#35010C211yesmaximal, characteristic, complemented
28C2×#2414C211yesmaximal, characteristic, complemented
29#34202C211yesmaximal, characteristic, complemented
30#3536—216no—
31C2×#562C2214yescomplemented
32C2×#554C2212yescomplemented
33C2×#548C2212yescomplemented
34C2×#547C2212yescomplemented
35C2×#546C2212yescomplemented
36C2×#546C2214yescomplemented
37#3459—216no—
38C2×#543C2211yescharacteristic
39C2×#543C2212yescomplemented
40C2×#542C2212yescomplemented
41C2×#539C2211yescharacteristic
42C2×#539C2211yescharacteristic
43C2×#539C2212yescomplemented
44C2×#539C2212yescomplemented
45C2×#539C2212yescomplemented
46C2×#538C2212yes—
47C2×#538C2212yes—
48C2×#538C2212yescomplemented
49C2×#538C2212yescomplemented
50C2×#537C2212yescomplemented
51C2×#537C2212yescomplemented
52C2×#536C2211yescharacteristic, complemented
53C2×#534C2211yescharacteristic
54C2×#534C2212yes—
55C2×#529C2212yes—
56C2×#529C2212yescomplemented
57C2×#529C2212yescomplemented
58C2×#525C2211yescharacteristic
59C2×#525C2211yescharacteristic
60C2×#525C2212yescomplemented
61C2×#525C2212yescomplemented
62C2×#525C2212yescomplemented
63C22×C22⋊Q8C2211yescharacteristic, complemented
64C22×#121C2211yescharacteristic
65C22×#121C2211yescharacteristic, complemented
66C2×#520C2211yescharacteristic, complemented
67C22×C4×D4C2212yes—
68C22×C4×D4C2211yescharacteristic
69C22×#117C2211yescharacteristic, complemented
70#2857C2212yescomplemented
71#2857C2212yescomplemented
72#2855C2212yescomplemented
73#2850C2212yes—
74#2850C2212yescomplemented
75#2848C2212yes—
76#2848C2212yescomplemented
77#2847C2212yescomplemented
78#2813C2214yescomplemented
79#2732C2214yescomplemented
80#2728C2214yescomplemented
81#2725C2214yescomplemented
82#2721C2214yescomplemented
83#2719C2214yescomplemented
84#2718C2214yescomplemented
85#2718C2214yescomplemented
86#2715C2214yescomplemented
87#2708C2214yescomplemented
88#2707C2214yescomplemented
89#2706C2214yescomplemented
90#2706C2214yescomplemented
91#2706C2214yescomplemented
92#2705C2214yescomplemented
93#2705C2214yescomplemented
94#2703C2214yescomplemented
95#2702C2214yescomplemented
96#2701C2214yescomplemented
97#2696C2214yescomplemented
98#2693C2214yescomplemented
99#2692C2214yescomplemented
100#2692C2214yescomplemented
101#2691C2214yescomplemented
102#2690C2214yescomplemented
103#2689C2214yescomplemented
104#2688C2214yescomplemented
105#2688C2214yescomplemented
106#2686C2214yescomplemented
107#2683C2214yescomplemented
108#2682C2214yescomplemented
109#2678C2214yescomplemented
110#2678C2214yescomplemented
111#2676C2214yescomplemented
112#2676C2214yescomplemented
113#2674C2214yescomplemented
114#2674C2214yescomplemented
115#2672C2214yescomplemented
116#2671C2214yescomplemented
117#2670C2214yescomplemented
118#2668C2214yescomplemented
119#2656C2212yescomplemented
120#2639C2212yescomplemented
121#2628C2212yescomplemented
122#2627C2212yescomplemented
123#2626C2212yes—
124#2626C2212yescomplemented
125#2625C2212yescomplemented
126#2624C2212yescomplemented
127#2624C2212yescomplemented
128#2621C2212yescomplemented
129#2620C2212yescomplemented
130#2620C2212yescomplemented
131#2617C2212yes—
132#2615C2212yescomplemented
133#2592C2212yescomplemented
134#2581C2212yescomplemented
135#2579C2214yescomplemented
136#2564C2214yescomplemented
137#2563C2212yescomplemented
138#2560C2214yescomplemented
139#2557C2214yescomplemented
140#2557C2214yescomplemented
141#2554C2214yescomplemented
142#2553C2214yescomplemented
143#2546C2212yescomplemented
144#2542C2214yescomplemented
145#2540C2212yescomplemented
146#2539C2214yescomplemented
147#2538C2212yescomplemented
148#2538C2212yescomplemented
149#2538C2214yescomplemented
150#2537C2214yescomplemented
151#2536C2214yescomplemented
152#2535C2212yescomplemented
153#2535C2214yescomplemented
154#2534C2214yescomplemented
155#2521C2214yescomplemented
156#2519C2214yescomplemented
157#2491C2214yescomplemented
158#2489C2214yescomplemented
159#2488C2214yescomplemented
160#2488C2214yescomplemented
161#2487C2212yescomplemented
162#2487C2212yescomplemented
163#2487C2212yescomplemented
164#2486C2212yescomplemented
165#2468C2214yescomplemented
166#2464C2214yescomplemented
167#2464C2214yescomplemented
168#2461C2214yescomplemented
169#2457C2214yescomplemented
170#2456C2214yescomplemented
171#2456C2214yescomplemented
172#2455C2214yescomplemented
173#2454C2214yescomplemented
174#2452C2214yescomplemented
175#2452C2214yescomplemented
176#2450C2214yescomplemented
177#2450C2214yescomplemented
178#2443C2214yes—
179#2443C2214yescomplemented
180#2442C2214yescomplemented
181#2440C2214yescomplemented
182#2437C2214yes—
183#2437C2214yescomplemented
184#2437C2214yescomplemented
185#2432C2214yescomplemented
186#2430C2214yescomplemented
187#2425C2214yescomplemented
188#2425C2214yescomplemented
189#2424C2214yes—
190#2424C2214yescomplemented
191#2424C2214yescomplemented
192#2424C2214yescomplemented
193#2419C2214yescomplemented
194#2418C2214yescomplemented
195#2417C2212yescomplemented
196#2417C2212yescomplemented
197#2417C2212yescomplemented
198#2417C2212yescomplemented
199#2417C2212yescomplemented
200#2416C2212yescomplemented
201#2416C2212yescomplemented
202#2416C2212yescomplemented
203#2415C2212yescomplemented
204#2415C2212yescomplemented
205#2415C2212yescomplemented
206#2414C2212yescomplemented
207#2414C2214yescomplemented
208#2414C2212yescomplemented
209#2414C2214yescomplemented
210#2414C2212yescomplemented
211#2414C2212yescomplemented
212#2414C2212yescomplemented
213#2413C2214yescomplemented
214#2412C2214yescomplemented
215#2412C2214yescomplemented
216#2410C2214yescomplemented
217#2409C2212yescomplemented
218#2408C2212yescomplemented
219#2407C2212yescomplemented
220#2407C2214yescomplemented
221#2407C2212yescomplemented
222#2404C2214yescomplemented
223#2403C2214yes—
224C2×#394C2212yescomplemented
225C2×#392C2212yes—
226#2359C2214yescomplemented
227#2358C2214yescomplemented
228#2358C2214yescomplemented
229#2354C2212yescomplemented
230#2352C2212yescomplemented
231#2352C2212yescomplemented
232#2349C2214yescomplemented
233D4×C4⋊C4C2212yescomplemented
234D4×C22⋊C4C2214yes—
235D4×C22⋊C4C2214yes—
236#2324C2212yescomplemented
237#2324C2212yescomplemented
238#2323C2212yescomplemented
239#2323C2212yescomplemented
240#2317C2211yescharacteristic, complemented
241#2317C2212yescomplemented
242#2317C2211yescharacteristic, complemented
243#2315C2212yescomplemented
244#2311C2212yescomplemented
245#2311C2211yescharacteristic, complemented
246#2311C2211yescharacteristic, complemented
247#2310C2211yescharacteristic, complemented
248#2308C2212yes—
249C4×C22⋊Q8C2212yescomplemented
250C4×C22⋊Q8C2212yescomplemented
251C4×#121C2212yes—
252C4×#121C2212yescomplemented
253C2×#390C2212yes—
254C2×#390C2211yescharacteristic, complemented
255C2×#389C2211yescharacteristic, complemented
256C2×#388C2212yescomplemented
257C2×#380C2211yescharacteristic
258C2×#380C2212yescomplemented
259C2×#380C2211yescharacteristic, complemented
260#2274C2211yescharacteristic, complemented
261C22×#41C2311yescharacteristic
262C22×#41C2312yes—
263C22×#41C2314yes—
264C22×#41C2311yescharacteristic
265C23×Q8C2311yescharacteristic
266C23×D4C2311yescharacteristic
267C23×D4C2312yes—
268C23×D4C2311yescharacteristic
269C23×D4C2312yes—
270C23×D4C2312yes—
271C24×C4C2312yes—
272C24×C4C2311yescharacteristic
273C24×C4C2311yescharacteristic
274#562—232no—
275#554—216no—
276#548—216no—
277#547—216no—
278#546—232no—
279#546—216no—
280#543—28no—
281#543—216no—
282#542—216no—
283#539—216no—
284#539—28no—
285#539—216no—
286#539—216no—
287#539—28no—
288#538—216no—
289#538—216no—
290#538—216no—
291#538—216no—
292#537—216no—
293#537—216no—
294#536—44no—
295#534—28no—
296#534—216no—
297C2×C4⋊Q8C2312yes—
298C2×C4⋊Q8C2312yes—
299C2×C4⋊Q8C2314yes—
300#529—216no—
301#529—216no—
302#529—216no—
303C2×#126C2312yes—
304C2×#126C2312yes—
305C2×#126C2312yes—
306C2×#126C2312yes—
307C2×#126C2312yes—
308C2×#126C2312yes—
309C2×#126C2314yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2314yes—
314C2×#124C2312yes—
315C2×#124C2314yes—
316C2×#124C2312yes—
317C2×#124C2312yes—
318C2×#124C2312yes—
319C2×#124C2314yes—
320C2×#124C2312yes—
321#525—216no—
322#525—28no—
323#525—216no—
324#525—48no—
325#525D4116yescomplemented
326C2×#123C2312yes—
327C2×#123C2312yes—
328C2×#123C2312yes—
329C2×#123C2312yes—
330C2×#123C2312yes—
331C2×#123C2312yes—
332C2×#123C2312yes—
333C2×#123C2312yes—
334C2×#123C2312yes—
335C2×#123C2312yes—
336C2×#123C2312yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2312yes—
345C2×C22⋊Q8—28no—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2314yes—
363C2×C22⋊Q8C2314yes—
364C2×C22⋊Q8C2314yes—
365C2×C22⋊Q8C2314yes—
366C2×C22⋊Q8C2314yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2314yes—
371C2×C22⋊Q8C2314yes—
372C2×C22⋊Q8C2311yescharacteristic
373C2×C22⋊Q8C2311yescharacteristic
374C2×#121—28no—
375C2×#121—44no—
376C2×#121C2312yes—
377C2×#121C2311yescharacteristic
378C2×#121C2312yes—
379C2×#121C2311yescharacteristic
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2314yes—
394C2×#121C2314yes—
395C2×#121C2314yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2314yes—
400C2×#121C2314yes—
401C2×#121C2314yes—
402C2×#121C2314yes—
403C2×#121C2311yescharacteristic
404C2×#121C2311yescharacteristic
405C2×#120C2314yes—
406C2×#120C2312yes—
407C2×#120C2312yes—
408C2×#120C2312yes—
409C2×#120C2312yes—
410C2×#120C2312yes—
411C2×#120C2314yes—
412C2×#120C2314yes—
413C2×#120C2314yes—
414C2×#120C2312yes—
415#520—44no—
416C2×C4×Q8C2312yes—
417C2×C4×Q8C2312yes—
418C2×C4×Q8C2312yes—
419C2×C4×D4—28no—
420C2×C4×D4—216no—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2314yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2314yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2314yes—
439C2×C4×D4C2314yes—
440C2×C4×D4C2314yes—
441C2×C4×D4C2314yes—
442C2×C4×D4C2314yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×#117—44no—
446C2×#117C2311yescharacteristic
447C2×#117C2312yes—
448C2×#117C2312yes—
449C2×#117C2311yescharacteristic
450C2×#117C2312yes—
451C2×#117C2311yescharacteristic
452C2×#117C2311yescharacteristic
453C2×#117C2311yescharacteristic
454C2×#117C2312yes—
455C2×#117C2312yes—
456C2×#117C2311yescharacteristic
457C22×C4⋊C4C2311yescharacteristic
458C22×C4⋊C4C2312yes—
459C22×C4⋊C4C2312yes—
460C22×C4⋊C4C2311yescharacteristic
461C22×C4⋊C4C2311yescharacteristic
462C22×C4⋊C4C2312yes—
463C22×C4⋊C4C2311yescharacteristic
464C22×C4⋊C4C2312yes—
465C22×C4⋊C4C2311yescharacteristic
466C22×C4⋊C4C2311yescharacteristic
467C22×C4⋊C4C2311yescharacteristic
468C22×C4⋊C4C2312yes—
469C22×C22⋊C4C2312yes—
470C22×C22⋊C4C2311yescharacteristic
471C22×C22⋊C4C2312yes—
472C22×C22⋊C4C2314yes—
473C22×C22⋊C4C2312yes—
474C22×C22⋊C4C2311yescharacteristic
475C22×C22⋊C4C2312yes—
476C22×C22⋊C4C2312yes—
477C22×C22⋊C4C2312yes—
478C22×C22⋊C4C2312yes—
479C22×C22⋊C4C2312yes—
480C22×C22⋊C4C2312yes—
481C22×C22⋊C4C2314yes—
482C22×C22⋊C4C2312yes—
483C22×C42C2312yes—
484C22×C42C2311yescharacteristic
485C22×C42C2312yes—
486#400C2314yes—
487#400C2314yes—
488#400C2314yes—
489#400C2314yes—
490#400C2314yes—
491#400C2314yes—
492#399C2314yes—
493#399C2314yes—
494#399C2314yes—
495#399C2314yes—
496#399C2314yes—
497#399C2314yes—
498#399C2314yes—
499#398C2314yes—
500#398C2314yes—
501#398C2314yes—
502#398C2314yes—
503#398C2314yes—
504#398C2314yes—
505#398C2314yes—
506#398C2314yes—
507#398C2314yes—
508#397C2314yes—
509#397C2314yes—
510#397C2314yes—
511#397C2314yes—
512#397C2314yes—
513#397C2314yes—
514#397C2314yes—
515#397C2314yes—
516#397C2314yes—
517#397C2314yes—
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#396C2314yes—
526#396C2314yes—
527#396C2314yes—
528#396C2314yes—
529#396C2314yes—
530#396C2314yes—
531#396C2314yes—
532#395C2314yes—
533#395C2314yes—
534#395C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#393C2314yes—
556#393C2314yes—
557#393C2314yes—
558#393C2314yes—
559#393C2314yes—
560#393C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#391C2314yes—
575#391C2312yes—
576#391C2312yes—
577#391C2312yes—
578#391C2312yes—
579#391C2312yes—
580#391C2312yes—
581#391C2312yes—
582#391C2312yes—
583#391C2314yes—
584#390C2314yes—
585#390C2314yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2314yes—
591#390C2314yes—
592#390C2312yes—
593#390C2314yes—
594#390C2314yes—
595#390C2314yes—
596#390C2312yes—
597#390C2314yes—
598#390C2314yes—
599#390C2314yes—
600#390C2314yes—
601#390C2314yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2314yes—
610#389C2314yes—
611#389C2312yes—
612#389C2312yes—
613#389C2314yes—
614#389C2314yes—
615#389C2314yes—
616#389C2314yes—
617#389C2312yes—
618#389C2314yes—
619#389C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#384C2312yes—
699#384C2312yes—
700#384C2314yes—
701#382C2314yes—
702#382C2312yes—
703#382C2312yes—
704#382C2314yes—
705#381C2314yes—
706#381C2314yes—
707#381C2314yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2314yes—
713#380C2314yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2314yes—
718#380C2314yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2314yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2314yes—
731#380C2314yes—
732#380C2314yes—
733#380C2314yes—
734#379C2314yes—
735#379C2314yes—
736#379C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C22⋊C4C2314yes—
744C4×C22⋊C4C2314yes—
745C4×C22⋊C4C2314yes—
746C4×C22⋊C4C2314yes—
747C4×C22⋊C4C2314yes—
748C2×#95C2312yes—
749C2×#95C2312yes—
750C2×#95C2314yes—
751C2×#95C2312yes—
752C25C2412yes—
753C25C2412yes—
754C25C2411yescharacteristic
755C25C2411yescharacteristic
756C2×#41—216no—
757C2×#41—24no—
758C2×#41—28no—
759C2×#41—42no—
760C2×#41—42no—
761C2×#41—42no—
762C2×#41—42no—
763C2×#41—44no—
764C2×#41—44no—
765C2×#41—84no—
766C2×#41—84no—
767C2×#41C2×D418yescomplemented
768C22×Q8—24no—
769C22×Q8—42no—
770C22×Q8—42no—
771C22×Q8C2412yes—
772C22×Q8C2412yes—
773C22×Q8C2411yescharacteristic
774C22×Q8C2414yes—
775C22×Q8C2412yes—
776C22×Q8C2411yescharacteristic
777C22×D4—24no—
778C22×D4—28no—
779C22×D4—24no—
780C22×D4—28no—
781C22×D4—28no—
782C22×D4—28no—
783C22×D4—24no—
784C22×D4—42no—
785C22×D4—44no—
786C22×D4—42no—
787C22×D4—42no—
788C22×D4—44no—
789C22×D4—82no—
790C22×D4—82no—
791C22×D4—82no—
792C22×D4C2412yes—
793C22×D4C2412yes—
794C22×D4C2412yes—
795C22×D4C2412yes—
796C22×D4C2412yes—
797C22×D4C2412yes—
798C22×D4C2414yes—
799C22×D4C2412yes—
800C22×D4C2412yes—
801C22×D4C2412yes—
802C22×D4C2414yes—
803C22×D4C2414yes—
804C22×D4C2414yes—
805C22×D4C2412yes—
806C22×D4C2411yescharacteristic
807C22×D4C2414yes—
808C22×D4C2412yes—
809C22×D4C2414yes—
810C22×D4C2414yes—
811C22×D4C2414yes—
812C22×D4C2412yes—
813C22×D4C2411yescharacteristic
814C22×D4C2412yes—
815C23×C4—24no—
816C23×C4—28no—
817C23×C4—42no—
818C23×C4—42no—
819C23×C4—42no—
820C23×C4—44no—
821C23×C4—42no—
822C23×C4—44no—
823C23×C4C2×D418yes—
824C23×C4C2411yescharacteristic
825C23×C4C2412yes—
826C23×C4C2412yes—
827C23×C4C2412yes—
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2414yes—
843C23×C4C2414yes—
844C23×C4C2414yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2414yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C4⋊Q8—28no—
854C4⋊Q8—44no—
855C4⋊Q8—84no—
856#126—28no—
857#126—28no—
858#126—216no—
859#126—28no—
860#126—28no—
861#126—28no—
862#126—28no—
863#125—28no—
864#125—28no—
865#125—28no—
866#125—216no—
867#124—28no—
868#124—28no—
869#124—28no—
870#124—216no—
871#124—216no—
872#124—28no—
873#124—44no—
874#123—28no—
875#123—28no—
876#123—28no—
877#123—28no—
878#123—28no—
879#123—28no—
880#123—216no—
881#123—28no—
882#123—28no—
883#123—28no—
884#123—28no—
885#123—28no—
886#123—216no—
887#123—216no—
888#123—216no—
889#123—48no—
890#123—48no—
891#123—84no—
892#123C2×D4116yescomplemented
893C22⋊Q8—28no—
894C22⋊Q8—28no—
895C22⋊Q8—216no—
896C22⋊Q8—28no—
897C22⋊Q8—28no—
898C22⋊Q8—28no—
899C22⋊Q8—28no—
900C22⋊Q8—24no—
901C22⋊Q8—24no—
902C22⋊Q8—28no—
903C22⋊Q8—28no—
904C22⋊Q8—28no—
905C22⋊Q8—28no—
906C22⋊Q8—216no—
907C22⋊Q8—216no—
908C22⋊Q8—216no—
909C22⋊Q8—28no—
910C22⋊Q8—28no—
911C22⋊Q8—28no—
912C22⋊Q8—216no—
913C22⋊Q8—216no—
914C22⋊Q8—44no—
915C22⋊Q8—44no—
916C22⋊Q8—44no—
917C22⋊Q8—84no—
918C22⋊Q8—84no—
919C22⋊Q8C2×D418yes—
920C22⋊Q8C2×D418yescomplemented
921#121—28no—
922#121—28no—
923#121—28no—
924#121—28no—
925#121—28no—
926#121—216no—
927#121—216no—
928#121—216no—
929#121—216no—
930#121—28no—
931#121—28no—
932#121—28no—
933#121—28no—
934#121—24no—
935#121—24no—
936#121—28no—
937#121—28no—
938#121—28no—
939#121—28no—
940#121—216no—
941#121—48no—
942#121—44no—
943#121—44no—
944#121—44no—
945#121—84no—
946#121—84no—
947#121—84no—
948#121C2×D418yes—
949#121C2×D418yescomplemented
950#120—28no—
951#120—28no—
952#120—28no—
953#120—28no—
954#120—216no—
955#120—28no—
956#120—48no—
957#120—48no—
958#120—84no—
959#120C2×D4116yes—
960C4×Q8—28no—
961C4×Q8—28no—
962C4×Q8—44no—
963C4×D4—28no—
964C4×D4—216no—
965C4×D4—28no—
966C4×D4—28no—
967C4×D4—28no—
968C4×D4—28no—
969C4×D4—28no—
970C4×D4—28no—
971C4×D4—28no—
972C4×D4—28no—
973C4×D4—28no—
974C4×D4—28no—
975C4×D4—28no—
976C4×D4—216no—
977C4×D4—28no—
978C4×D4—28no—
979C4×D4—44no—
980C4×D4—48no—
981C4×D4—48no—
982C4×D4—48no—
983C4×D4—48no—
984C4×D4—84no—
985C4×D4C2×D4116yes—
986C4×D4C2×D4116yescomplemented
987#117—28no—
988#117—24no—
989#117—24no—
990#117—24no—
991#117—28no—
992#117—28no—
993#117—44no—
994#117—44no—
995#117—42no—
996#117—42no—
997#117C2×D418yescomplemented
998C2×C4⋊C4—24no—
999C2×C4⋊C4—24no—
1000C2×C4⋊C4—28no—
1001C2×C4⋊C4—24no—
1002C2×C4⋊C4—28no—
1003C2×C4⋊C4—28no—
1004C2×C4⋊C4—24no—
1005C2×C4⋊C4—42no—
1006C2×C4⋊C4—42no—
1007C2×C4⋊C4—44no—
1008C2×C4⋊C4—42no—
1009C2×C4⋊C4—82no—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C22⋊C4—24no—
1066C2×C22⋊C4—28no—
1067C2×C22⋊C4—24no—
1068C2×C22⋊C4—28no—
1069C2×C22⋊C4—28no—
1070C2×C22⋊C4—28no—
1071C2×C22⋊C4—216no—
1072C2×C22⋊C4—44no—
1073C2×C22⋊C4—44no—
1074C2×C22⋊C4—44no—
1075C2×C22⋊C4—44no—
1076C2×C22⋊C4—82no—
1077C2×C22⋊C4—84no—
1078C2×C22⋊C4—82no—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C42—24no—
1146C2×C42—28no—
1147C2×C42—44no—
1148C2×C42C2412yes—
1149C2×C42C2412yes—
1150C2×C42C2412yes—
1151C2×C42C2412yes—
1152C2×C42C2414yes—
1153C2×C42C2414yes—
1154C2×C42C2412yes—
1155C2×C42C2412yes—
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158C2×C42C2412yes—
1159C2×C42C2414yes—
1160C2×C42C2414yes—
1161C2×C42C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194C24—22no—
1195C24—22no—
1196C24—22no—
1197C24—22no—
1198C24—24no—
1199C24—24no—
1200C24—24no—
1201C24—24no—
1202C24—24no—
1203C24—41no—
1204C24—41no—
1205C24—42no—
1206C24—41no—
1207C24—41no—
1208C24—41no—
1209C24—42no—
1210C24—42no—
1211C24—41no—
1212C24—41no—
1213C24—41no—
1214C24—42no—
1215C24—42no—
1216C24—42no—
1217C24—42no—
1218C24—42no—
1219C24—42no—
1220C24C22×D414yes—
1221C242−1+414yes—
1222C24C2512yes—
1223C24C2514yes—
1224C24C2511yescharacteristic
1225C24C2511yescharacteristic
1226C24C2512yes—
1227C24C2512yes—
1228C24C2511yescharacteristic
1229#41—416no—
1230#41—88no—
1231#41—816no—
1232#41—832no—
1233C2×Q8—24no—
1234C2×Q8—24no—
1235C2×Q8—22no—
1236C2×Q8—24no—
1237C2×Q8—28no—
1238C2×Q8—24no—
1239C2×Q8—24no—
1240C2×Q8—41no—
1241C2×Q8—41no—
1242C2×Q8—42no—
1243C2×Q8—44no—
1244C2×Q8—42no—
1245C2×Q8—41no—
1246C2×Q8—42no—
1247C2×Q8—44no—
1248C2×Q8—42no—
1249C2×Q8—41no—
1250C2×Q8—88no—
1251C2×Q8C22×D414yes—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—28no—
1259C2×D4—24no—
1260C2×D4—28no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—28no—
1270C2×D4—28no—
1271C2×D4—28no—
1272C2×D4—28no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—22no—
1276C2×D4—24no—
1277C2×D4—28no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—41no—
1281C2×D4—42no—
1282C2×D4—44no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—41no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—42no—
1299C2×D4—44no—
1300C2×D4—42no—
1301C2×D4—44no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—42no—
1308C2×D4—42no—
1309C2×D4—41no—
1310C2×D4—42no—
1311C2×D4—41no—
1312C2×D4—42no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—432no—
1318C2×D4—416no—
1319C2×D4—88no—
1320C2×D4—816no—
1321C2×D4—816no—
1322C2×D4C22×D418yes—
1323C2×D4C22×D418yes—
1324C2×D4C22×D414yes—
1325C2×D4C22×D418yes—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—24no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—24no—
1334C22×C4—22no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—24no—
1343C22×C4—24no—
1344C22×C4—28no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—24no—
1350C22×C4—24no—
1351C22×C4—24no—
1352C22×C4—24no—
1353C22×C4—24no—
1354C22×C4—24no—
1355C22×C4—24no—
1356C22×C4—24no—
1357C22×C4—24no—
1358C22×C4—28no—
1359C22×C4—28no—
1360C22×C4—24no—
1361C22×C4—416no—
1362C22×C4—41no—
1363C22×C4—42no—
1364C22×C4—41no—
1365C22×C4—41no—
1366C22×C4—41no—
1367C22×C4—41no—
1368C22×C4—41no—
1369C22×C4—42no—
1370C22×C4—42no—
1371C22×C4—42no—
1372C22×C4—42no—
1373C22×C4—41no—
1374C22×C4—42no—
1375C22×C4—41no—
1376C22×C4—42no—
1377C22×C4—44no—
1378C22×C4—41no—
1379C22×C4—42no—
1380C22×C4—42no—
1381C22×C4—42no—
1382C22×C4—44no—
1383C22×C4—42no—
1384C22×C4—44no—
1385C22×C4—42no—
1386C22×C4—42no—
1387C22×C4—44no—
1388C22×C4—42no—
1389C22×C4—42no—
1390C22×C4—44no—
1391C22×C4—42no—
1392C22×C4—42no—
1393C22×C4—42no—
1394C22×C4—42no—
1395C22×C4—41no—
1396C22×C4—42no—
1397C22×C4—44no—
1398C22×C4—42no—
1399C22×C4—42no—
1400C22×C4—44no—
1401C22×C4—44no—
1402C22×C4—42no—
1403C22×C4—42no—
1404C22×C4—44no—
1405C22×C4—42no—
1406C22×C4—42no—
1407C22×C4—88no—
1408C22×C4—816no—
1409C22×C4C22×D414yes—
1410C22×C4C22×D418yes—
1411C22×C4C22×D414yes—
1412C22×C4C22×D414yes—
1413C22×C4C22×D414yes—
1414C22×C4C22×D414yes—
1415C22×C4C22×D414yes—
1416C22×C4C2512yes—
1417C22×C4C2514yes—
1418C22×C4C2512yes—
1419C22×C4C2512yes—
1420C22×C4C2512yes—
1421C22×C4C2514yes—
1422C22×C4C2512yes—
1423C22×C4C2514yes—
1424C22×C4C2514yes—
1425C22×C4C2512yes—
1426C22×C4C2514yes—
1427C22×C4C2512yes—
1428C22×C4C2512yes—
1429C22×C4C2512yes—
1430C22×C4C2512yes—
1431C22×C4C2511yescharacteristic
1432C22×C4C2512yes—
1433C22×C4C2512yes—
1434C22×C4C2511yescharacteristic
1435C22×C4C2511yescharacteristic
1436C22×C4C2512yes—
1437C22×C4C2511yescharacteristic
1438C4⋊C4—24no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—24no—
1442C4⋊C4—24no—
1443C4⋊C4—24no—
1444C4⋊C4—24no—
1445C4⋊C4—24no—
1446C4⋊C4—28no—
1447C4⋊C4—28no—
1448C4⋊C4—28no—
1449C4⋊C4—24no—
1450C4⋊C4—22no—
1451C4⋊C4—24no—
1452C4⋊C4—24no—
1453C4⋊C4—22no—
1454C4⋊C4—24no—
1455C4⋊C4—24no—
1456C4⋊C4—28no—
1457C4⋊C4—24no—
1458C4⋊C4—24no—
1459C4⋊C4—28no—
1460C4⋊C4—28no—
1461C4⋊C4—24no—
1462C4⋊C4—24no—
1463C4⋊C4—24no—
1464C4⋊C4—24no—
1465C4⋊C4—22no—
1466C4⋊C4—22no—
1467C4⋊C4—24no—
1468C4⋊C4—22no—
1469C4⋊C4—28no—
1470C4⋊C4—24no—
1471C4⋊C4—42no—
1472C4⋊C4—42no—
1473C4⋊C4—42no—
1474C4⋊C4—44no—
1475C4⋊C4—44no—
1476C4⋊C4—44no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4—44no—
1481C4⋊C4—44no—
1482C4⋊C4—44no—
1483C4⋊C4—44no—
1484C4⋊C4—44no—
1485C4⋊C4—44no—
1486C4⋊C4—44no—
1487C4⋊C4—44no—
1488C4⋊C4C22×D418yes—
1489C4⋊C4C22×D414yes—
1490C4⋊C4C22×D414yes—
1491C4⋊C4C22×D418yes—
1492C4⋊C4H(5,𝔽2)14yes—
1493C22⋊C4—28no—
1494C22⋊C4—24no—
1495C22⋊C4—24no—
1496C22⋊C4—24no—
1497C22⋊C4—24no—
1498C22⋊C4—28no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—24no—
1504C22⋊C4—28no—
1505C22⋊C4—28no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—24no—
1510C22⋊C4—24no—
1511C22⋊C4—24no—
1512C22⋊C4—28no—
1513C22⋊C4—28no—
1514C22⋊C4—28no—
1515C22⋊C4—28no—
1516C22⋊C4—24no—
1517C22⋊C4—24no—
1518C22⋊C4—24no—
1519C22⋊C4—24no—
1520C22⋊C4—28no—
1521C22⋊C4—28no—
1522C22⋊C4—24no—
1523C22⋊C4—24no—
1524C22⋊C4—28no—
1525C22⋊C4—28no—
1526C22⋊C4—28no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
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—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4C22×D418yes—
1555C22⋊C4C22×D418yes—
1556C22⋊C4C22×D418yes—
1557C22⋊C4C22×D418yes—
1558C22⋊C4C22×D418yes—
1559C42—24no—
1560C42—24no—
1561C42—24no—
1562C42—24no—
1563C42—24no—
1564C42—28no—
1565C42—24no—
1566C42—24no—
1567C42—28no—
1568C42—42no—
1569C42—42no—
1570C42—44no—
1571C42—44no—
1572C42C22×D418yes—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—22no—
1578C23—21no—
1579C23—21no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—22no—
1587C23—22no—
1588C23—21no—
1589C23—21no—
1590C23—22no—
1591C23—21no—
1592C23—22no—
1593C23—22no—
1594C23—22no—
1595C23—22no—
1596C23—22no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—28no—
1602C23—28no—
1603C23—22no—
1604C23—24no—
1605C23—22no—
1606C23—24no—
1607C23—22no—
1608C23—24no—
1609C23—24no—
1610C23—24no—
1611C23—22no—
1612C23—22no—
1613C23—22no—
1614C23—22no—
1615C23—24no—
1616C23—24no—
1617C23—44no—
1618C23—44no—
1619C23—44no—
1620C23—44no—
1621C23—48no—
1622C23—48no—
1623C23—48no—
1624C23—82no—
1625C23—84no—
1626C23—82no—
1627C23—82no—
1628C23—82no—
1629C23—82no—
1630C23—82no—
1631C23—82no—
1632C23—82no—
1633C23—84no—
1634C23—84no—
1635C23—84no—
1636C23—84no—
1637C23—84no—
1638C23—84no—
1639C23—84no—
1640C23—84no—
1641C23—84no—
1642C23—84no—
1643C23C23×D412yes—
1644C23C23×D414yes—
1645C23C23×D412yes—
1646C23C23×D412yes—
1647C23C2×2−1+414yes—
1648C23C2×2−1+412yes—
1649C23#58512yes—
1650C23C2611yescharacteristic
1651Q8—44no—
1652Q8—48no—
1653Q8—84no—
1654Q8—84no—
1655Q8—82no—
1656Q8—88no—
1657D4—216no—
1658D4—44no—
1659D4—48no—
1660D4—48no—
1661D4—48no—
1662D4—416no—
1663D4—48no—
1664D4—48no—
1665D4—48no—
1666D4—416no—
1667D4—48no—
1668D4—48no—
1669D4—84no—
1670D4—82no—
1671D4—84no—
1672D4—84no—
1673D4—88no—
1674D4—88no—
1675D4—84no—
1676D4—88no—
1677D4—88no—
1678D4—88no—
1679D4—164no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—21no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—28no—
1695C2×C4—28no—
1696C2×C4—28no—
1697C2×C4—216no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—24no—
1704C2×C4—24no—
1705C2×C4—22no—
1706C2×C4—24no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—24no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—24no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—24no—
1719C2×C4—24no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—24no—
1724C2×C4—22no—
1725C2×C4—24no—
1726C2×C4—22no—
1727C2×C4—24no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—24no—
1733C2×C4—24no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—24no—
1737C2×C4—24no—
1738C2×C4—24no—
1739C2×C4—22no—
1740C2×C4—44no—
1741C2×C4—44no—
1742C2×C4—44no—
1743C2×C4—48no—
1744C2×C4—48no—
1745C2×C4—48no—
1746C2×C4—44no—
1747C2×C4—48no—
1748C2×C4—48no—
1749C2×C4—84no—
1750C2×C4—84no—
1751C2×C4—84no—
1752C2×C4—84no—
1753C2×C4—88no—
1754C2×C4—88no—
1755C2×C4—82no—
1756C2×C4—84no—
1757C2×C4—82no—
1758C2×C4—84no—
1759C2×C4—84no—
1760C2×C4—84no—
1761C2×C4—88no—
1762C2×C4—164no—
1763C2×C4—162no—
1764C2×C4—162no—
1765C2×C4C23×D414yes—
1766C2×C4C23×D412yes—
1767C2×C4C23×D414yes—
1768C2×C4C23×D412yes—
1769C2×C4C23×D412yes—
1770C2×C4C23×D414yes—
1771C2×C4C23×D412yes—
1772C2×C4C2×H(5,𝔽2)14yes—
1773C2×C4C2×H(5,𝔽2)12yes—
1774C2×C4#58512yes—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—24no—
1784C22—24no—
1785C22—24no—
1786C22—22no—
1787C22—22no—
1788C22—22no—
1789C22—24no—
1790C22—22no—
1791C22—24no—
1792C22—24no—
1793C22—42no—
1794C22—42no—
1795C22—41no—
1796C22—41no—
1797C22—42no—
1798C22—41no—
1799C22—42no—
1800C22—41no—
1801C22—42no—
1802C22—42no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—42no—
1808C22—42no—
1809C22—42no—
1810C22—44no—
1811C22—42no—
1812C22—44no—
1813C22—44no—
1814C22—42no—
1815C22—44no—
1816C22—42no—
1817C22—42no—
1818C22—44no—
1819C22—42no—
1820C22—44no—
1821C22—42no—
1822C22—44no—
1823C22—88no—
1824C22—88no—
1825C22—816no—
1826C22—168no—
1827C22#348914yes—
1828C22C24×D411yescharacteristic
1829C22C22×H(5,𝔽2)11yescharacteristic
1830C22C22×2−1+411yescharacteristic
1831C22C2×#58511yescharacteristic
1832C22C2×#58511yescharacteristic
1833C22H(7,𝔽2)11yescharacteristic
1834C22H(7,𝔽2)11yescharacteristic
1835C4—22no—
1836C4—22no—
1837C4—22no—
1838C4—24no—
1839C4—24no—
1840C4—24no—
1841C4—24no—
1842C4—42no—
1843C4—42no—
1844C4—44no—
1845C4—42no—
1846C4—42no—
1847C4—44no—
1848C4—44no—
1849C4—42no—
1850C4—42no—
1851C4—42no—
1852C4—42no—
1853C4—42no—
1854C4—44no—
1855C4—44no—
1856C4#349614yes—
1857C2—24no—
1858C2—42no—
1859C2—42no—
1860C2—44no—
1861C2—44no—
1862C2—82no—
1863C2—84no—
1864C2C2×#349611yescharacteristic
1865C2C2×#348911yescharacteristic
1866C2#6285211yescharacteristic
1867C2#6289411yescharacteristic
1868C2#6289911yescharacteristic
1869C2#6290211yescharacteristic
1870C2#6291011yescharacteristic
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×#3536C2semidirect
2. C2×#3459C2semidirect
3. #47874C2semidirect
4. #47869C2semidirect
5. #46833C2semidirect
6. #46380C2semidirect
7. #43020C2semidirect
8. #42997C2semidirect
9. #39422C2semidirect
10. #39412C2semidirect
11. #39371C2semidirect
12. #39367C2semidirect
13. #38920C2semidirect
14. #38903C2semidirect
15. #38040C2semidirect
16. #38024C2semidirect
17. #37839C2semidirect
18. #37659C2semidirect
19. #37439C2semidirect
20. #37277C2semidirect
21. #37268C2semidirect
22. #36154C2semidirect
23. #36096C2semidirect
24. #35568C2semidirect
25. #35518C2semidirect
26. #35306C2semidirect
27. #35010C2semidirect
28. C2×#2414C2semidirect
29. #34202C2semidirect
31. C2×#562C22semidirect
32. C2×#554C22semidirect
33. C2×#548C22semidirect
34. C2×#547C22semidirect
35. C2×#546C22semidirect
36. C2×#546C22semidirect
39. C2×#543C22semidirect
40. C2×#542C22semidirect
43. C2×#539C22semidirect
44. C2×#539C22semidirect
45. C2×#539C22semidirect
48. C2×#538C22semidirect
49. C2×#538C22semidirect
50. C2×#537C22semidirect
51. C2×#537C22semidirect
52. C2×#536C22semidirect
56. C2×#529C22semidirect
57. C2×#529C22semidirect
60. C2×#525C22semidirect
61. C2×#525C22semidirect
62. C2×#525C22semidirect
63. C22×C22⋊Q8C22semidirect
65. C22×#121C22semidirect
66. C2×#520C22semidirect
69. C22×#117C22semidirect
70. #2857C22semidirect
71. #2857C22semidirect
72. #2855C22semidirect
74. #2850C22semidirect
76. #2848C22semidirect
77. #2847C22semidirect
78. #2813C22semidirect
79. #2732C22semidirect
80. #2728C22semidirect
81. #2725C22semidirect
82. #2721C22semidirect
83. #2719C22semidirect
84. #2718C22semidirect
85. #2718C22semidirect
86. #2715C22semidirect
87. #2708C22semidirect
88. #2707C22semidirect
89. #2706C22semidirect
90. #2706C22semidirect
91. #2706C22semidirect
92. #2705C22semidirect
93. #2705C22semidirect
94. #2703C22semidirect
95. #2702C22semidirect
96. #2701C22semidirect
97. #2696C22semidirect
98. #2693C22semidirect
99. #2692C22semidirect
100. #2692C22semidirect
101. #2691C22semidirect
102. #2690C22semidirect
103. #2689C22semidirect
104. #2688C22semidirect
105. #2688C22semidirect
106. #2686C22semidirect
107. #2683C22semidirect
108. #2682C22semidirect
109. #2678C22semidirect
110. #2678C22semidirect
111. #2676C22semidirect
112. #2676C22semidirect
113. #2674C22semidirect
114. #2674C22semidirect
115. #2672C22semidirect
116. #2671C22semidirect
117. #2670C22semidirect
118. #2668C22semidirect
119. #2656C22semidirect
120. #2639C22semidirect
121. #2628C22semidirect
122. #2627C22semidirect
124. #2626C22semidirect
125. #2625C22semidirect
126. #2624C22semidirect
127. #2624C22semidirect
128. #2621C22semidirect
129. #2620C22semidirect
130. #2620C22semidirect
132. #2615C22semidirect
133. #2592C22semidirect
134. #2581C22semidirect
135. #2579C22semidirect
136. #2564C22semidirect
137. #2563C22semidirect
138. #2560C22semidirect
139. #2557C22semidirect
140. #2557C22semidirect
141. #2554C22semidirect
142. #2553C22semidirect
143. #2546C22semidirect
144. #2542C22semidirect
145. #2540C22semidirect
146. #2539C22semidirect
147. #2538C22semidirect
148. #2538C22semidirect
149. #2538C22semidirect
150. #2537C22semidirect
151. #2536C22semidirect
152. #2535C22semidirect
153. #2535C22semidirect
154. #2534C22semidirect
155. #2521C22semidirect
156. #2519C22semidirect
157. #2491C22semidirect
158. #2489C22semidirect
159. #2488C22semidirect
160. #2488C22semidirect
161. #2487C22semidirect
162. #2487C22semidirect
163. #2487C22semidirect
164. #2486C22semidirect
165. #2468C22semidirect
166. #2464C22semidirect
167. #2464C22semidirect
168. #2461C22semidirect
169. #2457C22semidirect
170. #2456C22semidirect
171. #2456C22semidirect
172. #2455C22semidirect
173. #2454C22semidirect
174. #2452C22semidirect
175. #2452C22semidirect
176. #2450C22semidirect
177. #2450C22semidirect
179. #2443C22semidirect
180. #2442C22semidirect
181. #2440C22semidirect
183. #2437C22semidirect
184. #2437C22semidirect
185. #2432C22semidirect
186. #2430C22semidirect
187. #2425C22semidirect
188. #2425C22semidirect
190. #2424C22semidirect
191. #2424C22semidirect
192. #2424C22semidirect
193. #2419C22semidirect
194. #2418C22semidirect
195. #2417C22semidirect
196. #2417C22semidirect
197. #2417C22semidirect
198. #2417C22semidirect
199. #2417C22semidirect
200. #2416C22semidirect
201. #2416C22semidirect
202. #2416C22semidirect
203. #2415C22semidirect
204. #2415C22semidirect
205. #2415C22semidirect
206. #2414C22semidirect
207. #2414C22semidirect
208. #2414C22semidirect
209. #2414C22semidirect
210. #2414C22semidirect
211. #2414C22semidirect
212. #2414C22semidirect
213. #2413C22semidirect
214. #2412C22semidirect
215. #2412C22semidirect
216. #2410C22semidirect
217. #2409C22semidirect
218. #2408C22semidirect
219. #2407C22semidirect
220. #2407C22semidirect
221. #2407C22semidirect
222. #2404C22semidirect
224. C2×#394C22semidirect
226. #2359C22semidirect
227. #2358C22semidirect
228. #2358C22semidirect
229. #2354C22semidirect
230. #2352C22semidirect
231. #2352C22semidirect
232. #2349C22semidirect
233. D4×C4⋊C4C22semidirect
236. #2324C22semidirect
237. #2324C22semidirect
238. #2323C22semidirect
239. #2323C22semidirect
240. #2317C22semidirect
241. #2317C22semidirect
242. #2317C22semidirect
243. #2315C22semidirect
244. #2311C22semidirect
245. #2311C22semidirect
246. #2311C22semidirect
247. #2310C22semidirect
249. C4×C22⋊Q8C22semidirect
250. C4×C22⋊Q8C22semidirect
252. C4×#121C22semidirect
254. C2×#390C22semidirect
255. C2×#389C22semidirect
256. C2×#388C22semidirect
258. C2×#380C22semidirect
259. C2×#380C22semidirect
260. #2274C22semidirect
325. #525D4semidirect
767. C2×#41C2×D4semidirect
892. #123C2×D4semidirect
920. C22⋊Q8C2×D4semidirect
949. #121C2×D4semidirect
986. C4×D4C2×D4semidirect
997. #117C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35362
C2×#34592
#478742
#478692
#468332
#463802
#430202
#429972
#394222
#394122
#393712
#393672
#389202
#389032
#380402
#380242
#378392
#376592
#374392
#372772
#372682
#361542
#360962
#355682
#355182
#353062
#350102
C2×#24142
#342022