Finite Group Databasebeta

← #7647028

Subgroups — #7647028

Order 512.

7302 conjugacy classes of subgroups.

The subgroup lattice has 1857 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3505C211yesmaximal, characteristic, complemented
2C2×#3459C211yesmaximal, characteristic, complemented
3#40533C214yesmaximal, complemented
4#40532C214yesmaximal, complemented
5#40529C214yesmaximal, complemented
6#40528C214yesmaximal, complemented
7#38049C212yesmaximal, complemented
8#38048C212yesmaximal, complemented
9#38035C212yesmaximal, complemented
10#38034C212yesmaximal, complemented
11#37847C212yesmaximal, complemented
12#37846C212yesmaximal, complemented
13#37659C212yesmaximal, complemented
14#37658C212yesmaximal, complemented
15#37620C212yesmaximal, complemented
16#37442C211yesmaximal, characteristic, complemented
17#37439C211yesmaximal, characteristic, complemented
18#37129C214yesmaximal, complemented
19#36740C212yesmaximal, complemented
20#36739C212yesmaximal, complemented
21#35365C214yesmaximal, complemented
22#35306C211yesmaximal, characteristic, complemented
23#35252C211yesmaximal, characteristic, complemented
24#35234C212yesmaximal, complemented
25#35077C212yesmaximal, complemented
26#35006C212yesmaximal, complemented
27#35004C212yesmaximal, complemented
28#34737C212yesmaximal, complemented
29C2×#2354C211yesmaximal, characteristic, complemented
30#3505—216no—
31C2×#553C2214yescomplemented
32C2×#553C2212yescomplemented
33C2×#552C2212yescomplemented
34C2×#551C2214yescomplemented
35C2×#548C2212yescomplemented
36C2×#546C2212yescomplemented
37#3459—216no—
38C2×#543C2211yescharacteristic, complemented
39C2×#539C2212yes—
40C2×#539C2212yescomplemented
41C2×#539C2212yescomplemented
42C2×#539C2211yescharacteristic, complemented
43C2×#539C2211yescharacteristic, complemented
44C2×#538C2212yes—
45C2×#538C2212yes—
46C2×#538C2212yes—
47C2×#538C2212yescomplemented
48C2×#536C2211yescharacteristic, complemented
49C2×#535C2211yescharacteristic, complemented
50C2×#534C2212yes—
51C2×#534C2212yes—
52C2×#534C2211yescharacteristic, complemented
53C2×#529C2212yes—
54C2×#529C2212yescomplemented
55C2×#529C2212yescomplemented
56C2×#529C2212yescomplemented
57C2×#525C2212yes—
58C2×#525C2212yes—
59C2×#525C2211yescharacteristic
60C2×#525C2211yescharacteristic
61C2×#525C2212yescomplemented
62C2×#525C2212yescomplemented
63C22×C22⋊Q8C2211yescharacteristic, complemented
64C22×#121C2211yescharacteristic, complemented
65C2×#518C2212yescomplemented
66C22×C4×D4C2211yescharacteristic
67C22×C4×D4C2212yescomplemented
68C22×#117C2211yescharacteristic, complemented
69C22×#117C2211yescharacteristic, complemented
70#2857C2212yescomplemented
71#2856C2212yes—
72#2855C2212yescomplemented
73#2854C2212yescomplemented
74#2854C2214yescomplemented
75#2854C2214yescomplemented
76#2850C2212yescomplemented
77#2850C2212yescomplemented
78#2848C2212yescomplemented
79#2847C2212yescomplemented
80#2823C2214yescomplemented
81#2823C2214yescomplemented
82#2814C2214yescomplemented
83#2813C2214yescomplemented
84#2724C2214yescomplemented
85#2718C2214yescomplemented
86#2710C2214yescomplemented
87#2706C2214yescomplemented
88#2703C2214yescomplemented
89#2701C2214yes—
90#2701C2214yes—
91#2701C2214yescomplemented
92#2701C2214yescomplemented
93#2700C2214yescomplemented
94#2699C2214yescomplemented
95#2699C2214yescomplemented
96#2698C2214yescomplemented
97#2697C2214yescomplemented
98#2697C2214yescomplemented
99#2689C2214yescomplemented
100#2687C2214yescomplemented
101#2685C2214yescomplemented
102#2682C2214yescomplemented
103#2682C2214yescomplemented
104#2681C2214yescomplemented
105#2680C2214yescomplemented
106#2679C2214yescomplemented
107#2678C2214yes—
108#2678C2214yes—
109#2678C2214yescomplemented
110#2678C2214yescomplemented
111#2678C2214yescomplemented
112#2674C2214yescomplemented
113#2672C2214yescomplemented
114#2670C2214yescomplemented
115#2669C2214yescomplemented
116#2664C2214yescomplemented
117#2662C2214yescomplemented
118#2659C2212yescomplemented
119#2656C2212yes—
120#2639C2212yescomplemented
121#2639C2212yescomplemented
122#2630C2214yescomplemented
123#2630C2214yescomplemented
124#2629C2214yescomplemented
125#2629C2212yescomplemented
126#2629C2212yescomplemented
127#2627C2212yescomplemented
128#2626C2212yescomplemented
129#2625C2212yescomplemented
130#2624C2212yescomplemented
131#2621C2212yescomplemented
132#2620C2212yescomplemented
133#2620C2212yescomplemented
134#2620C2214yescomplemented
135#2620C2212yescomplemented
136#2620C2212yescomplemented
137#2619C2212yescomplemented
138#2618C2214yescomplemented
139#2618C2214yescomplemented
140#2618C2212yescomplemented
141#2617C2212yescomplemented
142#2616C2212yescomplemented
143#2615C2212yescomplemented
144#2601C2214yescomplemented
145#2601C2214yescomplemented
146#2592C2212yescomplemented
147#2584C2212yescomplemented
148#2582C2212yescomplemented
149#2579C2214yescomplemented
150#2564C2214yescomplemented
151#2562C2212yescomplemented
152#2560C2214yescomplemented
153#2560C2214yescomplemented
154#2558C2214yescomplemented
155#2558C2214yescomplemented
156#2556C2214yescomplemented
157#2556C2214yescomplemented
158#2554C2214yescomplemented
159#2554C2214yescomplemented
160#2543C2214yescomplemented
161#2540C2212yescomplemented
162#2538C2212yescomplemented
163#2538C2212yescomplemented
164#2537C2212yescomplemented
165#2534C2214yescomplemented
166#2519C2214yescomplemented
167#2519C2214yescomplemented
168#2512C2214yescomplemented
169#2506C2214yescomplemented
170#2487C2212yescomplemented
171#2486C2212yescomplemented
172#2485C2212yescomplemented
173#2485C2212yescomplemented
174#2480C2214yescomplemented
175#2478C2214yescomplemented
176#2476C2214yescomplemented
177#2474C2214yescomplemented
178#2472C2214yescomplemented
179#2470C2214yescomplemented
180#2468C2214yescomplemented
181#2466C2214yescomplemented
182#2464C2214yescomplemented
183#2461C2214yescomplemented
184#2461C2214yescomplemented
185#2461C2214yescomplemented
186#2459C2214yescomplemented
187#2457C2214yescomplemented
188#2456C2214yescomplemented
189#2455C2214yescomplemented
190#2452C2214yescomplemented
191#2445C2214yescomplemented
192#2424C2214yescomplemented
193#2418C2214yescomplemented
194#2417C2212yescomplemented
195#2417C2212yescomplemented
196#2417C2214yescomplemented
197#2417C2212yescomplemented
198#2417C2212yescomplemented
199#2416C2212yescomplemented
200#2416C2212yescomplemented
201#2416C2214yescomplemented
202#2416C2212yescomplemented
203#2416C2212yescomplemented
204#2415C2212yescomplemented
205#2415C2212yescomplemented
206#2415C2212yescomplemented
207#2415C2212yescomplemented
208#2414C2212yescomplemented
209#2414C2212yescomplemented
210#2414C2212yescomplemented
211#2414C2212yescomplemented
212#2413C2214yescomplemented
213#2413C2214yescomplemented
214#2412C2214yescomplemented
215#2412C2214yescomplemented
216#2412C2214yescomplemented
217#2412C2214yescomplemented
218#2411C2214yescomplemented
219#2411C2214yescomplemented
220#2410C2214yescomplemented
221#2410C2214yescomplemented
222#2410C2214yescomplemented
223#2410C2214yescomplemented
224#2409C2212yescomplemented
225#2408C2212yescomplemented
226#2407C2212yescomplemented
227#2407C2212yescomplemented
228#2392C2214yescomplemented
229#2392C2214yescomplemented
230#2354C2212yescomplemented
231#2354C2212yescomplemented
232#2354C2214yescomplemented
233#2354C2214yescomplemented
234#2354C2212yescomplemented
235#2354C2212yescomplemented
236#2325C2214yescomplemented
237#2325C2214yescomplemented
238#2324C2212yescomplemented
239#2324C2212yescomplemented
240#2323C2212yescomplemented
241#2323C2212yescomplemented
242#2317C2211yescharacteristic, complemented
243#2317C2211yescharacteristic, complemented
244#2311C2211yescharacteristic, complemented
245#2311C2211yescharacteristic, complemented
246#2310C2211yescharacteristic, complemented
247#2309C2211yescharacteristic, complemented
248C4×#121C2214yescomplemented
249C4×#121C2214yescomplemented
250#2297C2212yescomplemented
251#2296C2212yescomplemented
252C2×#390C2212yes—
253C2×#388C2212yescomplemented
254C2×#388C2212yescomplemented
255C2×#384C2211yescharacteristic, complemented
256#2280C2212yescomplemented
257C2×#380C2211yescharacteristic, complemented
258C2×#380C2211yescharacteristic, complemented
259C2×C4×C4⋊C4C2211yescharacteristic, complemented
260C2×C4×C4⋊C4C2212yescomplemented
261C22×#41C2311yescharacteristic
262C22×#41C2311yescharacteristic
263C22×#41C2312yes—
264C23×Q8C2311yescharacteristic
265C23×D4C2311yescharacteristic
266C23×D4C2312yes—
267C23×D4C2312yes—
268C23×D4C2311yescharacteristic
269C24×C4C2312yes—
270C24×C4C2311yescharacteristic
271C24×C4C2311yescharacteristic
272#553—216no—
273#553—232no—
274#552—216no—
275#551—232no—
276#548—216no—
277#546—216no—
278#543—28no—
279#539—216no—
280#539—216no—
281#539—28no—
282#539—28no—
283#539—216no—
284#538—216no—
285#538—216no—
286#538—216no—
287#538—216no—
288#536—44no—
289#535—44no—
290#534—216no—
291#534—216no—
292#534—28no—
293C2×C4⋊Q8C2312yes—
294C2×#127C2312yes—
295#529—216no—
296#529—216no—
297#529—216no—
298#529—216no—
299C2×#126C2312yes—
300C2×#126C2314yes—
301C2×#126C2312yes—
302C2×#126C2312yes—
303C2×#126C2314yes—
304C2×#126C2312yes—
305C2×#126C2312yes—
306C2×#126C2312yes—
307C2×#126C2314yes—
308C2×#125C2312yes—
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2314yes—
313C2×#124C2312yes—
314C2×#124C2312yes—
315C2×#124C2314yes—
316C2×#124C2312yes—
317C2×#124C2312yes—
318C2×#124C2312yes—
319C2×#124C2312yes—
320#525—28no—
321#525—28no—
322#525—216no—
323#525—216no—
324#525—216no—
325#525—48no—
326C2×#123C2314yes—
327C2×#123C2312yes—
328C2×#123C2312yes—
329C2×#123C2314yes—
330C2×#123C2312yes—
331C2×#123C2312yes—
332C2×#123C2312yes—
333C2×#123C2312yes—
334C2×#123C2312yes—
335C2×#123C2312yes—
336C2×#123C2312yes—
337C2×#123C2312yes—
338C2×#123C2312yes—
339C2×#123C2312yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×C22⋊Q8—28no—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2311yescharacteristic
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2314yes—
370C2×#121—28no—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2311yescharacteristic
374C2×#121C2312yes—
375C2×#121C2311yescharacteristic
376C2×#121C2312yes—
377C2×#121C2311yescharacteristic
378C2×#121C2311yescharacteristic
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2314yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2312yes—
392C2×#121C2314yes—
393C2×#121C2314yes—
394C2×#121C2312yes—
395C2×#121C2314yes—
396C2×#121C2312yes—
397C2×#121C2314yes—
398C2×#121C2314yes—
399C2×#120C2314yes—
400C2×#120C2312yes—
401C2×#120C2312yes—
402C2×#120C2312yes—
403C2×#120C2312yes—
404C2×#120C2312yes—
405C2×#120C2312yes—
406C2×#120C2314yes—
407C2×#120C2314yes—
408C2×#120C2314yes—
409C2×#120C2314yes—
410C2×#120C2314yes—
411#518—216no—
412C2×C4×Q8C2312yes—
413C2×C4×Q8C2312yes—
414C2×C4×D4—216no—
415C2×C4×D4D4116yescomplemented
416C2×C4×D4C2312yes—
417C2×C4×D4C2314yes—
418C2×C4×D4C2314yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2314yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2314yes—
430C2×C4×D4C2314yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2314yes—
434C2×C4×D4C2314yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×#117—44no—
440C2×#117—44no—
441C2×#117C2311yescharacteristic
442C2×#117C2311yescharacteristic
443C2×#117C2311yescharacteristic
444C2×#117C2311yescharacteristic
445C2×#117C2312yes—
446C2×#117C2312yes—
447C2×#117C2314yes—
448C2×#117C2312yes—
449C2×#117C2314yes—
450C2×#117C2312yes—
451C2×#117C2311yescharacteristic
452C2×#117C2311yescharacteristic
453C2×#117C2312yes—
454C2×#117C2312yes—
455C2×#117C2314yes—
456C2×#117C2312yes—
457C22×C4⋊C4C2311yescharacteristic
458C22×C4⋊C4C2311yescharacteristic
459C22×C4⋊C4C2312yes—
460C22×C4⋊C4C2312yes—
461C22×C4⋊C4C2311yescharacteristic
462C22×C4⋊C4C2312yes—
463C22×C4⋊C4C2311yescharacteristic
464C22×C4⋊C4C2311yescharacteristic
465C22×C4⋊C4C2311yescharacteristic
466C22×C4⋊C4C2312yes—
467C22×C4⋊C4C2311yescharacteristic
468C22×C22⋊C4C2312yes—
469C22×C22⋊C4C2312yes—
470C22×C22⋊C4C2312yes—
471C22×C22⋊C4C2312yes—
472C22×C22⋊C4C2314yes—
473C22×C22⋊C4C2312yes—
474C22×C22⋊C4C2312yes—
475C22×C22⋊C4C2312yes—
476C22×C22⋊C4C2312yes—
477C22×C22⋊C4C2311yescharacteristic
478C22×C22⋊C4C2311yescharacteristic
479C22×C42C2312yes—
480C22×C42C2312yes—
481C22×C42C2312yes—
482C22×C42C2312yes—
483C22×C42C2311yescharacteristic
484#400C2314yes—
485#400C2314yes—
486#400C2314yes—
487#399C2314yes—
488#399C2314yes—
489#399C2314yes—
490#398C2314yes—
491#398C2314yes—
492#398C2314yes—
493#398C2314yes—
494#398C2314yes—
495#398C2314yes—
496#398C2314yes—
497#398C2314yes—
498#398C2314yes—
499#398C2314yes—
500#398C2314yes—
501#398C2314yes—
502#398C2314yes—
503#397C2314yes—
504#397C2314yes—
505#397C2314yes—
506#397C2314yes—
507#397C2314yes—
508#397C2314yes—
509#397C2314yes—
510#397C2314yes—
511#397C2314yes—
512#397C2314yes—
513#397C2314yes—
514#396C2314yes—
515#396C2314yes—
516#396C2314yes—
517#396C2314yes—
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#396C2314yes—
533#396C2314yes—
534#395C2314yes—
535#395C2314yes—
536#395C2314yes—
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#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#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#391C2312yes—
581#391C2312yes—
582#391C2312yes—
583#391C2312yes—
584#391C2312yes—
585#391C2312yes—
586#391C2312yes—
587#391C2312yes—
588#391C2314yes—
589#390C2314yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2314yes—
598#390C2314yes—
599#390C2314yes—
600#390C2314yes—
601#390C2314yes—
602#390C2314yes—
603#390C2314yes—
604#390C2314yes—
605#390C2314yes—
606#390C2312yes—
607#390C2314yes—
608#390C2314yes—
609#390C2314yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2314yes—
616#389C2314yes—
617#389C2312yes—
618#389C2312yes—
619#389C2314yes—
620#389C2314yes—
621#389C2314yes—
622#389C2314yes—
623#389C2314yes—
624#389C2312yes—
625#389C2314yes—
626#389C2314yes—
627#389C2314yes—
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#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
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#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
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#385C2314yes—
699#385C2314yes—
700#384C2314yes—
701#384C2312yes—
702#384C2312yes—
703#384C2312yes—
704#384C2312yes—
705#382C2312yes—
706#382C2312yes—
707#381C2314yes—
708#381C2314yes—
709#381C2314yes—
710#381C2314yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2314yes—
716#380C2314yes—
717#380C2312yes—
718#380C2312yes—
719#380C2314yes—
720#380C2314yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2314yes—
730#380C2314yes—
731#380C2314yes—
732#379C2314yes—
733#379C2314yes—
734#379C2314yes—
735#379C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C22⋊C4C2314yes—
746C4×C22⋊C4C2314yes—
747C4×C22⋊C4C2314yes—
748C4×C22⋊C4C2314yes—
749C2×#95C2312yes—
750C2×#95C2312yes—
751C2×#95C2312yes—
752C25C2411yescharacteristic
753C25C2411yescharacteristic
754C25C2412yes—
755C25C2412yes—
756C2×#41—24no—
757C2×#41—24no—
758C2×#41—28no—
759C2×#41—42no—
760C2×#41—42no—
761C2×#41—42no—
762C2×#41—42no—
763C2×#41—44no—
764C2×#41—44no—
765C22×Q8—24no—
766C22×Q8—42no—
767C22×Q8—42no—
768C22×Q8C2412yes—
769C22×Q8C2412yes—
770C22×Q8C2411yescharacteristic
771C22×Q8C2411yescharacteristic
772C22×Q8C2412yes—
773C22×D4—28no—
774C22×D4—28no—
775C22×D4—24no—
776C22×D4—42no—
777C22×D4—42no—
778C22×D4—42no—
779C22×D4—42no—
780C22×D4—44no—
781C22×D4—44no—
782C22×D4—44no—
783C22×D4—44no—
784C22×D4C2×D418yes—
785C22×D4C2414yes—
786C22×D4C2412yes—
787C22×D4C2412yes—
788C22×D4C2412yes—
789C22×D4C2412yes—
790C22×D4C2412yes—
791C22×D4C2414yes—
792C22×D4C2412yes—
793C22×D4C2414yes—
794C22×D4C2412yes—
795C22×D4C2412yes—
796C22×D4C2414yes—
797C22×D4C2412yes—
798C22×D4C2414yes—
799C22×D4C2412yes—
800C22×D4C2411yescharacteristic
801C22×D4C2411yescharacteristic
802C22×D4C2412yes—
803C22×D4C2414yes—
804C22×D4C2414yes—
805C22×D4C2414yes—
806C22×D4C2412yes—
807C22×D4C2412yes—
808C23×C4—28no—
809C23×C4—42no—
810C23×C4—42no—
811C23×C4—42no—
812C23×C4—42no—
813C23×C4—44no—
814C23×C4—44no—
815C23×C4C2×D418yes—
816C23×C4C2×D418yes—
817C23×C4C2412yes—
818C23×C4C2412yes—
819C23×C4C2412yes—
820C23×C4C2411yescharacteristic
821C23×C4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2412yes—
825C23×C4C2412yes—
826C23×C4C2412yes—
827C23×C4C2412yes—
828C23×C4C2412yes—
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2414yes—
834C23×C4C2414yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C4⋊Q8—44no—
845#127—44no—
846#126—28no—
847#126—28no—
848#126—216no—
849#126—28no—
850#126—28no—
851#126—216no—
852#126—28no—
853#126—28no—
854#126—216no—
855#125—28no—
856#125—28no—
857#125—216no—
858#125—28no—
859#125—28no—
860#124—28no—
861#124—28no—
862#124—216no—
863#124—28no—
864#124—28no—
865#124—44no—
866#124—44no—
867#123—28no—
868#123—28no—
869#123—216no—
870#123—28no—
871#123—28no—
872#123—216no—
873#123—216no—
874#123—28no—
875#123—28no—
876#123—28no—
877#123—28no—
878#123—216no—
879#123—28no—
880#123—28no—
881#123—28no—
882#123—28no—
883#123—216no—
884#123—48no—
885#123—48no—
886#123—84no—
887#123—84no—
888C22⋊Q8—28no—
889C22⋊Q8—28no—
890C22⋊Q8—28no—
891C22⋊Q8—28no—
892C22⋊Q8—24no—
893C22⋊Q8—24no—
894C22⋊Q8—24no—
895C22⋊Q8—24no—
896C22⋊Q8—28no—
897C22⋊Q8—28no—
898C22⋊Q8—28no—
899C22⋊Q8—28no—
900C22⋊Q8—216no—
901C22⋊Q8—28no—
902C22⋊Q8—28no—
903C22⋊Q8—28no—
904C22⋊Q8—28no—
905C22⋊Q8—28no—
906C22⋊Q8—44no—
907C22⋊Q8—44no—
908C22⋊Q8—44no—
909C22⋊Q8—84no—
910#121—28no—
911#121—28no—
912#121—28no—
913#121—28no—
914#121—216no—
915#121—216no—
916#121—28no—
917#121—28no—
918#121—28no—
919#121—28no—
920#121—24no—
921#121—24no—
922#121—24no—
923#121—24no—
924#121—28no—
925#121—28no—
926#121—28no—
927#121—28no—
928#121—28no—
929#121—216no—
930#121—44no—
931#121—44no—
932#121—44no—
933#121—48no—
934#121—48no—
935#121—48no—
936#121—48no—
937#121—84no—
938#120—216no—
939#120—28no—
940#120—28no—
941#120—28no—
942#120—28no—
943#120—216no—
944#120—28no—
945#120—28no—
946#120—48no—
947#120—48no—
948#120—84no—
949#120—84no—
950C4×Q8—28no—
951C4×Q8—28no—
952C4×D4—28no—
953C4×D4—28no—
954C4×D4—28no—
955C4×D4—28no—
956C4×D4—28no—
957C4×D4—28no—
958C4×D4—28no—
959C4×D4—28no—
960C4×D4—216no—
961C4×D4—216no—
962C4×D4—28no—
963C4×D4—28no—
964C4×D4—216no—
965C4×D4—216no—
966C4×D4—216no—
967C4×D4—28no—
968C4×D4—28no—
969C4×D4—48no—
970C4×D4—48no—
971C4×D4C2×D4116yes—
972C4×D4C2×D4116yes—
973C4×D4C2×D4116yes—
974C4×D4C2×D4116yes—
975#117—24no—
976#117—24no—
977#117—28no—
978#117—28no—
979#117—24no—
980#117—24no—
981#117—216no—
982#117—28no—
983#117—28no—
984#117—216no—
985#117—48no—
986#117—44no—
987#117—44no—
988#117—42no—
989#117—44no—
990#117—42no—
991C2×C4⋊C4—28no—
992C2×C4⋊C4—24no—
993C2×C4⋊C4—24no—
994C2×C4⋊C4—28no—
995C2×C4⋊C4—24no—
996C2×C4⋊C4—42no—
997C2×C4⋊C4—42no—
998C2×C4⋊C4—42no—
999C2×C4⋊C4—44no—
1000C2×C4⋊C4—82no—
1001C2×C4⋊C4C2×D418yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C22⋊C4—28no—
1059C2×C22⋊C4—28no—
1060C2×C22⋊C4—28no—
1061C2×C22⋊C4—28no—
1062C2×C22⋊C4—216no—
1063C2×C22⋊C4—44no—
1064C2×C22⋊C4—44no—
1065C2×C22⋊C4—82no—
1066C2×C22⋊C4—82no—
1067C2×C22⋊C4C2×D418yes—
1068C2×C22⋊C4C2×D418yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C42—28no—
1138C2×C42—44no—
1139C2×C42—44no—
1140C2×C42—44no—
1141C2×C42C2×D418yes—
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2414yes—
1145C2×C42C2414yes—
1146C2×C42C2414yes—
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2412yes—
1150C2×C42C2412yes—
1151C2×C42C2414yes—
1152C2×C42C2412yes—
1153C2×C42C2412yes—
1154C2×C42C2414yes—
1155C2×C42C2414yes—
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
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—
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—22no—
1192C24—24no—
1193C24—24no—
1194C24—41no—
1195C24—41no—
1196C24—41no—
1197C24—41no—
1198C24—41no—
1199C24—41no—
1200C24—42no—
1201C24—42no—
1202C24—41no—
1203C24—41no—
1204C24—42no—
1205C24—42no—
1206C24—42no—
1207C24—42no—
1208C24—42no—
1209C24—42no—
1210C24—42no—
1211C24—42no—
1212C24—42no—
1213C24—42no—
1214C24C22×D414yes—
1215C24C22×D414yes—
1216C24C2512yes—
1217C24C2514yes—
1218C24C2512yes—
1219C24C2511yescharacteristic
1220C24C2512yes—
1221C24C2511yescharacteristic
1222C24C2511yescharacteristic
1223#41—88no—
1224#41—88no—
1225#41—816no—
1226C2×Q8—24no—
1227C2×Q8—24no—
1228C2×Q8—22no—
1229C2×Q8—22no—
1230C2×Q8—24no—
1231C2×Q8—24no—
1232C2×Q8—24no—
1233C2×Q8—42no—
1234C2×Q8—41no—
1235C2×Q8—42no—
1236C2×Q8—41no—
1237C2×Q8—42no—
1238C2×Q8—42no—
1239C2×Q8—41no—
1240C2×Q8—41no—
1241C2×Q8—88no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—28no—
1247C2×D4—28no—
1248C2×D4—24no—
1249C2×D4—28no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—28no—
1253C2×D4—24no—
1254C2×D4—28no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—28no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—28no—
1267C2×D4—24no—
1268C2×D4—416no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—42no—
1281C2×D4—44no—
1282C2×D4—42no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—41no—
1291C2×D4—42no—
1292C2×D4—41no—
1293C2×D4—42no—
1294C2×D4—44no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—44no—
1298C2×D4—42no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—42no—
1302C2×D4—44no—
1303C2×D4—42no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—432no—
1311C2×D4—432no—
1312C2×D4—88no—
1313C2×D4C22×D418yes—
1314C2×D4C22×D418yes—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—24no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—24no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—24no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—24no—
1329C22×C4—24no—
1330C22×C4—24no—
1331C22×C4—24no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—24no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—28no—
1343C22×C4—28no—
1344C22×C4—24no—
1345C22×C4—24no—
1346C22×C4—416no—
1347C22×C4—416no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—42no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—42no—
1355C22×C4—41no—
1356C22×C4—41no—
1357C22×C4—41no—
1358C22×C4—41no—
1359C22×C4—42no—
1360C22×C4—41no—
1361C22×C4—42no—
1362C22×C4—42no—
1363C22×C4—42no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—42no—
1367C22×C4—42no—
1368C22×C4—42no—
1369C22×C4—42no—
1370C22×C4—42no—
1371C22×C4—42no—
1372C22×C4—42no—
1373C22×C4—44no—
1374C22×C4—44no—
1375C22×C4—42no—
1376C22×C4—42no—
1377C22×C4—42no—
1378C22×C4—42no—
1379C22×C4—42no—
1380C22×C4—42no—
1381C22×C4—42no—
1382C22×C4—44no—
1383C22×C4—42no—
1384C22×C4—42no—
1385C22×C4—42no—
1386C22×C4—44no—
1387C22×C4—816no—
1388C22×C4C22×D418yes—
1389C22×C4C22×D414yes—
1390C22×C4C22×D414yes—
1391C22×C4C22×D414yes—
1392C22×C4C22×D414yes—
1393C22×C4C22×D414yes—
1394C22×C4C22×D414yes—
1395C22×C4C22×D418yes—
1396C22×C4C22×D414yes—
1397C22×C4C22×D414yes—
1398C22×C4C22×D414yes—
1399C22×C4C2514yes—
1400C22×C4C2512yes—
1401C22×C4C2512yes—
1402C22×C4C2514yes—
1403C22×C4C2512yes—
1404C22×C4C2512yes—
1405C22×C4C2514yes—
1406C22×C4C2512yes—
1407C22×C4C2512yes—
1408C22×C4C2514yes—
1409C22×C4C2514yes—
1410C22×C4C2512yes—
1411C22×C4C2512yes—
1412C22×C4C2512yes—
1413C22×C4C2512yes—
1414C22×C4C2512yes—
1415C22×C4C2511yescharacteristic
1416C22×C4C2511yescharacteristic
1417C22×C4C2512yes—
1418C22×C4C2511yescharacteristic
1419C22×C4C2512yes—
1420C22×C4C2511yescharacteristic
1421C4⋊C4—24no—
1422C4⋊C4—28no—
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—24no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—28no—
1430C4⋊C4—24no—
1431C4⋊C4—28no—
1432C4⋊C4—28no—
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—28no—
1442C4⋊C4—24no—
1443C4⋊C4—24no—
1444C4⋊C4—24no—
1445C4⋊C4—28no—
1446C4⋊C4—24no—
1447C4⋊C4—24no—
1448C4⋊C4—24no—
1449C4⋊C4—24no—
1450C4⋊C4—22no—
1451C4⋊C4—22no—
1452C4⋊C4—24no—
1453C4⋊C4—22no—
1454C4⋊C4—28no—
1455C4⋊C4—24no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4—42no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C4⋊C4—44no—
1464C4⋊C4—44no—
1465C4⋊C4—44no—
1466C4⋊C4—44no—
1467C4⋊C4—44no—
1468C4⋊C4—44no—
1469C4⋊C4—44no—
1470C4⋊C4—44no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
1473C4⋊C4—44no—
1474C4⋊C4C22×D418yes—
1475C4⋊C4C22×D418yes—
1476C4⋊C4H(5,𝔽2)14yes—
1477C22⋊C4—28no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—28no—
1483C22⋊C4—28no—
1484C22⋊C4—24no—
1485C22⋊C4—24no—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—28no—
1489C22⋊C4—28no—
1490C22⋊C4—28no—
1491C22⋊C4—24no—
1492C22⋊C4—24no—
1493C22⋊C4—24no—
1494C22⋊C4—24no—
1495C22⋊C4—28no—
1496C22⋊C4—28no—
1497C22⋊C4—28no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—28no—
1507C22⋊C4—24no—
1508C22⋊C4—28no—
1509C22⋊C4—24no—
1510C22⋊C4—28no—
1511C22⋊C4—28no—
1512C22⋊C4—42no—
1513C22⋊C4—44no—
1514C22⋊C4—42no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
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⋊C4C22×D418yes—
1542C22⋊C4C22×D418yes—
1543C22⋊C4C22×D418yes—
1544C22⋊C4C22×D418yes—
1545C42—24no—
1546C42—24no—
1547C42—24no—
1548C42—24no—
1549C42—28no—
1550C42—28no—
1551C42—28no—
1552C42—24no—
1553C42—24no—
1554C42—44no—
1555C42—44no—
1556C42—44no—
1557C42—42no—
1558C42—42no—
1559C42C22×D418yes—
1560C42C22×D418yes—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—22no—
1567C23—21no—
1568C23—21no—
1569C23—22no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—22no—
1574C23—22no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—22no—
1579C23—21no—
1580C23—21no—
1581C23—22no—
1582C23—21no—
1583C23—28no—
1584C23—28no—
1585C23—22no—
1586C23—22no—
1587C23—24no—
1588C23—22no—
1589C23—24no—
1590C23—22no—
1591C23—22no—
1592C23—22no—
1593C23—24no—
1594C23—22no—
1595C23—22no—
1596C23—24no—
1597C23—22no—
1598C23—24no—
1599C23—22no—
1600C23—22no—
1601C23—24no—
1602C23—22no—
1603C23—22no—
1604C23—24no—
1605C23—22no—
1606C23—44no—
1607C23—44no—
1608C23—44no—
1609C23—44no—
1610C23—48no—
1611C23—48no—
1612C23—84no—
1613C23—82no—
1614C23—82no—
1615C23—82no—
1616C23—82no—
1617C23—82no—
1618C23—82no—
1619C23—82no—
1620C23—82no—
1621C23—84no—
1622C23—84no—
1623C23—84no—
1624C23—84no—
1625C23—84no—
1626C23—84no—
1627C23—84no—
1628C23—162no—
1629C23—162no—
1630C23—162no—
1631C23—162no—
1632C23C23×D412yes—
1633C23C23×D414yes—
1634C23C23×D412yes—
1635C23C23×D412yes—
1636C23#58512yes—
1637C23#58512yes—
1638C23C2611yescharacteristic
1639Q8—48no—
1640Q8—84no—
1641Q8—84no—
1642Q8—82no—
1643Q8—82no—
1644D4—48no—
1645D4—48no—
1646D4—48no—
1647D4—48no—
1648D4—416no—
1649D4—48no—
1650D4—48no—
1651D4—416no—
1652D4—48no—
1653D4—84no—
1654D4—88no—
1655D4—84no—
1656D4—82no—
1657D4—82no—
1658D4—88no—
1659D4—84no—
1660D4—84no—
1661D4—84no—
1662D4—84no—
1663D4—88no—
1664D4—88no—
1665D4—164no—
1666D4—164no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—21no—
1675C2×C4—22no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—28no—
1682C2×C4—28no—
1683C2×C4—216no—
1684C2×C4—28no—
1685C2×C4—28no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—24no—
1691C2×C4—24no—
1692C2×C4—24no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—24no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—24no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—24no—
1704C2×C4—22no—
1705C2×C4—24no—
1706C2×C4—24no—
1707C2×C4—24no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—24no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—24no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—24no—
1718C2×C4—22no—
1719C2×C4—24no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—24no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—24no—
1727C2×C4—22no—
1728C2×C4—48no—
1729C2×C4—44no—
1730C2×C4—44no—
1731C2×C4—44no—
1732C2×C4—44no—
1733C2×C4—44no—
1734C2×C4—48no—
1735C2×C4—48no—
1736C2×C4—48no—
1737C2×C4—48no—
1738C2×C4—48no—
1739C2×C4—88no—
1740C2×C4—84no—
1741C2×C4—84no—
1742C2×C4—88no—
1743C2×C4—84no—
1744C2×C4—84no—
1745C2×C4—84no—
1746C2×C4—84no—
1747C2×C4—84no—
1748C2×C4—84no—
1749C2×C4—84no—
1750C2×C4C23×D414yes—
1751C2×C4C23×D414yes—
1752C2×C4C23×D414yes—
1753C2×C4C23×D412yes—
1754C2×C4C23×D412yes—
1755C2×C4C23×D412yes—
1756C2×C4C23×D412yes—
1757C2×C4C2×H(5,𝔽2)14yes—
1758C2×C4C2×H(5,𝔽2)12yes—
1759C2×C4#58512yes—
1760C22—22no—
1761C22—22no—
1762C22—22no—
1763C22—22no—
1764C22—22no—
1765C22—22no—
1766C22—22no—
1767C22—24no—
1768C22—22no—
1769C22—22no—
1770C22—24no—
1771C22—22no—
1772C22—22no—
1773C22—24no—
1774C22—22no—
1775C22—41no—
1776C22—42no—
1777C22—41no—
1778C22—41no—
1779C22—42no—
1780C22—41no—
1781C22—41no—
1782C22—42no—
1783C22—41no—
1784C22—41no—
1785C22—42no—
1786C22—41no—
1787C22—42no—
1788C22—42no—
1789C22—44no—
1790C22—44no—
1791C22—42no—
1792C22—42no—
1793C22—42no—
1794C22—44no—
1795C22—42no—
1796C22—42no—
1797C22—44no—
1798C22—42no—
1799C22—42no—
1800C22—44no—
1801C22—42no—
1802C22—42no—
1803C22—42no—
1804C22—44no—
1805C22—42no—
1806C22—42no—
1807C22—44no—
1808C22—88no—
1809C22—88no—
1810C22—816no—
1811C22—168no—
1812C22#344914yes—
1813C22C24×D411yescharacteristic
1814C22C22×H(5,𝔽2)11yescharacteristic
1815C22C2×#58511yescharacteristic
1816C22C2×#58511yescharacteristic
1817C22C2×#58511yescharacteristic
1818C22H(7,𝔽2)11yescharacteristic
1819C222−1+611yescharacteristic
1820C4—22no—
1821C4—24no—
1822C4—22no—
1823C4—22no—
1824C4—24no—
1825C4—24no—
1826C4—24no—
1827C4—42no—
1828C4—42no—
1829C4—44no—
1830C4—44no—
1831C4—42no—
1832C4—42no—
1833C4—42no—
1834C4—42no—
1835C4—44no—
1836C4—42no—
1837C4—44no—
1838C4—42no—
1839C4—42no—
1840C4—44no—
1841C4#349614yes—
1842C2—24no—
1843C2—42no—
1844C2—44no—
1845C2—42no—
1846C2—82no—
1847C2—82no—
1848C2—84no—
1849C2C2×#344911yescharacteristic
1850C2C2×#349611yescharacteristic
1851C2#6285311yescharacteristic
1852C2#6289811yescharacteristic
1853C2#6289911yescharacteristic
1854C2#6291011yescharacteristic
1855C2#6291111yescharacteristic
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×#3505C2semidirect
2. C2×#3459C2semidirect
3. #40533C2semidirect
4. #40532C2semidirect
5. #40529C2semidirect
6. #40528C2semidirect
7. #38049C2semidirect
8. #38048C2semidirect
9. #38035C2semidirect
10. #38034C2semidirect
11. #37847C2semidirect
12. #37846C2semidirect
13. #37659C2semidirect
14. #37658C2semidirect
15. #37620C2semidirect
16. #37442C2semidirect
17. #37439C2semidirect
18. #37129C2semidirect
19. #36740C2semidirect
20. #36739C2semidirect
21. #35365C2semidirect
22. #35306C2semidirect
23. #35252C2semidirect
24. #35234C2semidirect
25. #35077C2semidirect
26. #35006C2semidirect
27. #35004C2semidirect
28. #34737C2semidirect
29. C2×#2354C2semidirect
31. C2×#553C22semidirect
32. C2×#553C22semidirect
33. C2×#552C22semidirect
34. C2×#551C22semidirect
35. C2×#548C22semidirect
36. C2×#546C22semidirect
38. C2×#543C22semidirect
40. C2×#539C22semidirect
41. C2×#539C22semidirect
42. C2×#539C22semidirect
43. C2×#539C22semidirect
47. C2×#538C22semidirect
48. C2×#536C22semidirect
49. C2×#535C22semidirect
52. C2×#534C22semidirect
54. C2×#529C22semidirect
55. C2×#529C22semidirect
56. C2×#529C22semidirect
61. C2×#525C22semidirect
62. C2×#525C22semidirect
63. C22×C22⋊Q8C22semidirect
64. C22×#121C22semidirect
65. C2×#518C22semidirect
67. C22×C4×D4C22semidirect
68. C22×#117C22semidirect
69. C22×#117C22semidirect
70. #2857C22semidirect
72. #2855C22semidirect
73. #2854C22semidirect
74. #2854C22semidirect
75. #2854C22semidirect
76. #2850C22semidirect
77. #2850C22semidirect
78. #2848C22semidirect
79. #2847C22semidirect
80. #2823C22semidirect
81. #2823C22semidirect
82. #2814C22semidirect
83. #2813C22semidirect
84. #2724C22semidirect
85. #2718C22semidirect
86. #2710C22semidirect
87. #2706C22semidirect
88. #2703C22semidirect
91. #2701C22semidirect
92. #2701C22semidirect
93. #2700C22semidirect
94. #2699C22semidirect
95. #2699C22semidirect
96. #2698C22semidirect
97. #2697C22semidirect
98. #2697C22semidirect
99. #2689C22semidirect
100. #2687C22semidirect
101. #2685C22semidirect
102. #2682C22semidirect
103. #2682C22semidirect
104. #2681C22semidirect
105. #2680C22semidirect
106. #2679C22semidirect
109. #2678C22semidirect
110. #2678C22semidirect
111. #2678C22semidirect
112. #2674C22semidirect
113. #2672C22semidirect
114. #2670C22semidirect
115. #2669C22semidirect
116. #2664C22semidirect
117. #2662C22semidirect
118. #2659C22semidirect
120. #2639C22semidirect
121. #2639C22semidirect
122. #2630C22semidirect
123. #2630C22semidirect
124. #2629C22semidirect
125. #2629C22semidirect
126. #2629C22semidirect
127. #2627C22semidirect
128. #2626C22semidirect
129. #2625C22semidirect
130. #2624C22semidirect
131. #2621C22semidirect
132. #2620C22semidirect
133. #2620C22semidirect
134. #2620C22semidirect
135. #2620C22semidirect
136. #2620C22semidirect
137. #2619C22semidirect
138. #2618C22semidirect
139. #2618C22semidirect
140. #2618C22semidirect
141. #2617C22semidirect
142. #2616C22semidirect
143. #2615C22semidirect
144. #2601C22semidirect
145. #2601C22semidirect
146. #2592C22semidirect
147. #2584C22semidirect
148. #2582C22semidirect
149. #2579C22semidirect
150. #2564C22semidirect
151. #2562C22semidirect
152. #2560C22semidirect
153. #2560C22semidirect
154. #2558C22semidirect
155. #2558C22semidirect
156. #2556C22semidirect
157. #2556C22semidirect
158. #2554C22semidirect
159. #2554C22semidirect
160. #2543C22semidirect
161. #2540C22semidirect
162. #2538C22semidirect
163. #2538C22semidirect
164. #2537C22semidirect
165. #2534C22semidirect
166. #2519C22semidirect
167. #2519C22semidirect
168. #2512C22semidirect
169. #2506C22semidirect
170. #2487C22semidirect
171. #2486C22semidirect
172. #2485C22semidirect
173. #2485C22semidirect
174. #2480C22semidirect
175. #2478C22semidirect
176. #2476C22semidirect
177. #2474C22semidirect
178. #2472C22semidirect
179. #2470C22semidirect
180. #2468C22semidirect
181. #2466C22semidirect
182. #2464C22semidirect
183. #2461C22semidirect
184. #2461C22semidirect
185. #2461C22semidirect
186. #2459C22semidirect
187. #2457C22semidirect
188. #2456C22semidirect
189. #2455C22semidirect
190. #2452C22semidirect
191. #2445C22semidirect
192. #2424C22semidirect
193. #2418C22semidirect
194. #2417C22semidirect
195. #2417C22semidirect
196. #2417C22semidirect
197. #2417C22semidirect
198. #2417C22semidirect
199. #2416C22semidirect
200. #2416C22semidirect
201. #2416C22semidirect
202. #2416C22semidirect
203. #2416C22semidirect
204. #2415C22semidirect
205. #2415C22semidirect
206. #2415C22semidirect
207. #2415C22semidirect
208. #2414C22semidirect
209. #2414C22semidirect
210. #2414C22semidirect
211. #2414C22semidirect
212. #2413C22semidirect
213. #2413C22semidirect
214. #2412C22semidirect
215. #2412C22semidirect
216. #2412C22semidirect
217. #2412C22semidirect
218. #2411C22semidirect
219. #2411C22semidirect
220. #2410C22semidirect
221. #2410C22semidirect
222. #2410C22semidirect
223. #2410C22semidirect
224. #2409C22semidirect
225. #2408C22semidirect
226. #2407C22semidirect
227. #2407C22semidirect
228. #2392C22semidirect
229. #2392C22semidirect
230. #2354C22semidirect
231. #2354C22semidirect
232. #2354C22semidirect
233. #2354C22semidirect
234. #2354C22semidirect
235. #2354C22semidirect
236. #2325C22semidirect
237. #2325C22semidirect
238. #2324C22semidirect
239. #2324C22semidirect
240. #2323C22semidirect
241. #2323C22semidirect
242. #2317C22semidirect
243. #2317C22semidirect
244. #2311C22semidirect
245. #2311C22semidirect
246. #2310C22semidirect
247. #2309C22semidirect
248. C4×#121C22semidirect
249. C4×#121C22semidirect
250. #2297C22semidirect
251. #2296C22semidirect
253. C2×#388C22semidirect
254. C2×#388C22semidirect
255. C2×#384C22semidirect
256. #2280C22semidirect
257. C2×#380C22semidirect
258. C2×#380C22semidirect
259. C2×C4×C4⋊C4C22semidirect
260. C2×C4×C4⋊C4C22semidirect
415. C2×C4×D4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35052
C2×#34592
#405332
#405322
#405292
#405282
#380492
#380482
#380352
#380342
#378472
#378462
#376592
#376582
#376202
#374422
#374392
#371292
#367402
#367392
#353652
#353062
#352522
#352342
#350772
#350062
#350042
#347372
C2×#23542