Finite Group Databasebeta

← #7987580

Subgroups — #7987580

Order 512.

7269 conjugacy classes of subgroups.

The subgroup lattice has 1939 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3547C211yesmaximal, characteristic, complemented
2C2×#3483C211yesmaximal, characteristic, complemented
3#59655C211yesmaximal, characteristic, complemented
4#59110C212yesmaximal, complemented
5#59093C212yesmaximal, complemented
6#59081C211yesmaximal, characteristic, complemented
7#59057C211yesmaximal, characteristic, complemented
8#51590C214yesmaximal, complemented
9#51535C214yesmaximal, complemented
10#46224C214yesmaximal, complemented
11#45386C212yesmaximal, complemented
12#45241C212yesmaximal, complemented
13#44889C212yesmaximal, complemented
14#44884C212yesmaximal, complemented
15#42995C212yesmaximal, complemented
16#42971C212yesmaximal, complemented
17#42970C212yesmaximal, complemented
18#42965C212yesmaximal, complemented
19#39363C211yesmaximal, characteristic, complemented
20#39341C211yesmaximal, characteristic, complemented
21#38956C211yesmaximal, characteristic, complemented
22#38909C211yesmaximal, characteristic, complemented
23#37792C212yesmaximal, complemented
24#37780C212yesmaximal, complemented
25#37699C214yesmaximal, complemented
26#36274C211yesmaximal, characteristic, complemented
27#36259C211yesmaximal, characteristic, complemented
28#36231C212yesmaximal, complemented
29#36230C212yesmaximal, complemented
30#36150C211yesmaximal, characteristic, complemented
31#35308C212yesmaximal, complemented
32#35257C212yesmaximal, complemented
33#34724C211yesmaximal, characteristic, complemented
34#34715C211yesmaximal, characteristic, complemented
35#34485C211yesmaximal, characteristic, complemented
36#3547—216no—
37C2×#562C2214yes—
38#3483—216no—
39C2×Q82C2211yescharacteristic
40C2×#555C2212yes—
41C2×#555C2214yes—
42C2×#555C2212yes—
43C2×#555C2212yes—
44C2×#555C2211yescharacteristic
45C2×#554C2211yescharacteristic
46C2×#553C2212yes—
47C2×#552C2212yes—
48C2×#550C2211yescharacteristic
49C2×#550C2212yes—
50C2×#550C2212yes—
51C2×#550C2211yescharacteristic
52C2×D4×Q8C2211yescharacteristic
53C2×#548C2212yes—
54C2×#547C2211yescharacteristic
55C2×#547C2212yes—
56C2×#544C2212yes—
57C2×#542C2214yes—
58C2×#540C2212yes—
59C2×#537C2212yes—
60C2×#537C2212yes—
61C2×#536C2212yes—
62C2×#536C2212yes—
63C2×#533C2211yescharacteristic
64C2×#532C2211yescharacteristic
65C2×#532C2211yescharacteristic
66C2×#532C2214yes—
67C2×#532C2212yes—
68C2×#532C2212yes—
69C2×#529C2211yescharacteristic
70C2×C4×#41C2212yes—
71C2×C4×#41C2212yes—
72C2×C4×#41C2211yescharacteristic
73C2×C4×#41C2211yescharacteristic
74#2858C2211yescharacteristic
75#2857C2211yescharacteristic
76#2857C2214yes—
77#2856C2211yescharacteristic
78#2855C2212yes—
79#2854C2212yes—
80#2851C2214yes—
81#2850C2214yes—
82#2820C2214yes—
83#2819C2214yes—
84#2730C2214yes—
85#2729C2214yes—
86#2729C2214yes—
87#2715C2214yes—
88#2712C2214yes—
89#2710C2214yes—
90#2710C2214yes—
91#2703C2214yes—
92#2703C2214yes—
93#2703C2214yes—
94#2703C2214yes—
95#2700C2214yes—
96#2700C2214yes—
97#2699C2214yes—
98#2691C2214yes—
99#2691C2214yes—
100#2688C2214yes—
101#2682C2214yes—
102#2681C2214yes—
103#2681C2214yes—
104#2681C2214yes—
105#2681C2214yes—
106#2676C2214yes—
107#2676C2214yes—
108#2676C2214yes—
109#2675C2214yes—
110#2675C2214yes—
111#2673C2214yes—
112#2673C2214yes—
113#2672C2214yes—
114#2671C2214yes—
115#2671C2214yes—
116#2671C2214yes—
117#2640C2214yes—
118#2629C2214yes—
119#2628C2214yes—
120#2624C2212yes—
121#2621C2214yes—
122#2620C2214yes—
123#2620C2214yes—
124#2620C2212yes—
125#2619C2212yes—
126#2615C2212yes—
127#2611C2214yes—
128#2610C2214yes—
129#2609C2214yes—
130#2609C2214yes—
131#2582C2211yescharacteristic
132#2568C2211yescharacteristic
133#2550C2212yes—
134#2550C2212yes—
135#2548C2211yescharacteristic
136#2546C2211yescharacteristic
137#2544C2212yes—
138#2543C2214yes—
139#2541C2211yescharacteristic
140#2541C2212yes—
141#2540C2212yes—
142#2540C2212yes—
143#2538C2211yescharacteristic
144#2504C2212yes—
145#2492C2212yes—
146#2492C2212yes—
147#2490C2212yes—
148#2490C2212yes—
149#2486C2212yes—
150#2478C2212yes—
151#2476C2212yes—
152#2474C2212yes—
153#2470C2212yes—
154#2468C2214yes—
155#2466C2212yes—
156#2466C2214yes—
157#2464C2214yes—
158#2461C2214yes—
159#2459C2212yes—
160#2459C2214yes—
161#2457C2214yes—
162#2456C2214yes—
163#2456C2212yes—
164#2455C2214yes—
165#2455C2212yes—
166#2454C2212yes—
167#2454C2212yes—
168#2454C2212yes—
169#2453C2212yes—
170#2453C2212yes—
171#2453C2211yescharacteristic
172#2452C2212yes—
173#2452C2212yes—
174#2452C2212yes—
175#2452C2212yes—
176#2451C2212yes—
177#2451C2211yescharacteristic
178#2451C2212yes—
179#2450C2214yes—
180#2450C2214yes—
181#2450C2214yes—
182#2449C2214yes—
183#2449C2214yes—
184#2448C2212yes—
185#2447C2211yescharacteristic
186#2446C2214yes—
187#2445C2214yes—
188#2445C2212yes—
189#2445C2212yes—
190#2445C2211yescharacteristic
191#2444C2214yes—
192#2443C2214yes—
193#2441C2211yescharacteristic
194#2440C2212yes—
195#2439C2211yescharacteristic
196#2439C2212yes—
197#2439C2212yes—
198#2438C2214yes—
199#2436C2212yes—
200#2432C2212yes—
201#2432C2211yescharacteristic
202#2431C2212yes—
203#2431C2212yes—
204#2431C2212yes—
205#2431C2211yescharacteristic
206#2430C2214yes—
207#2430C2214yes—
208#2429C2214yes—
209#2429C2212yes—
210#2429C2212yes—
211#2429C2212yes—
212#2429C2211yescharacteristic
213#2428C2214yes—
214#2428C2212yes—
215#2428C2212yes—
216#2428C2212yes—
217#2428C2212yes—
218#2427C2212yes—
219#2427C2212yes—
220#2427C2212yes—
221#2427C2212yes—
222#2427C2212yes—
223#2426C2212yes—
224#2426C2212yes—
225#2426C2211yescharacteristic
226#2425C2214yes—
227#2425C2214yes—
228#2425C2214yes—
229#2425C2214yes—
230#2425C2214yes—
231#2422C2211yescharacteristic
232#2420C2211yescharacteristic
233#2417C2212yes—
234#2416C2214yes—
235#2416C2212yes—
236#2416C2212yes—
237#2416C2212yes—
238#2416C2212yes—
239#2415C2212yes—
240#2415C2211yescharacteristic
241#2414C2212yes—
242#2414C2211yescharacteristic
243#2413C2214yes—
244#2409C2212yes—
245#2407C2212yes—
246#2407C2214yes—
247#2407C2214yes—
248#2407C2211yescharacteristic
249#2407C2212yes—
250#2407C2211yescharacteristic
251#2407C2212yes—
252#2395C2212yes—
253#2392C2212yes—
254#2392C2212yes—
255#2388C2212yes—
256#2379C2214yes—
257#2369C2211yescharacteristic
258#2367C2212yes—
259#2367C2212yes—
260#2366C2212yes—
261#2365C2212yes—
262#2363C2212yes—
263#2362C2212yes—
264#2361C2212yes—
265#2361C2212yes—
266#2361C2212yes—
267#2360C2212yes—
268#2349C2212yes—
269D4×C4⋊C4C2211yescharacteristic
270D4×C4⋊C4C2211yescharacteristic
271#2346C2212yes—
272#2346C2212yes—
273#2341C2212yes—
274#2339C2214yes—
275#2339C2212yes—
276#2339C2212yes—
277#2326C2214yes—
278#2324C2212yes—
279#2324C2212yes—
280#2317C2212yes—
281#2317C2212yes—
282#2311C2212yes—
283#2311C2212yes—
284C4×C4⋊Q8C2211yescharacteristic
285C4×C4⋊Q8C2211yescharacteristic
286C4×#124C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2211yescharacteristic
290C4×#123C2212yes—
291C4×#123C2212yes—
292C4×#121C2211yescharacteristic
293#2297C2212yes—
294#2296C2212yes—
295C2×#391C2212yes—
296#2293C2211yescharacteristic
297#2293C2211yescharacteristic
298C2×#389C2212yes—
299#2290C2214yes—
300C42×D4C2211yescharacteristic
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2311yescharacteristic
305C22×#41C2312yes—
306C22×#41C2312yes—
307C22×#41C2314yes—
308C22×#41C2312yes—
309C23×Q8C2312yes—
310#562—232no—
311Q82—28no—
312#555—232no—
313#555—216no—
314#555—216no—
315#555—216no—
316#555D4116yescomplemented
317#554—28no—
318#553—216no—
319#552—216no—
320#550—216no—
321#550—216no—
322#550—28no—
323#550—28no—
324D4×Q8—28no—
325#548—216no—
326#547—28no—
327#547—48no—
328#544—216no—
329#542—232no—
330#540—216no—
331#537—216no—
332#537—48no—
333#536—216no—
334#536—48no—
335#533—28no—
336#532—28no—
337#532—232no—
338#532—216no—
339#532—216no—
340#532—28no—
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2314yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2314yes—
346C2×C4⋊Q8C2311yescharacteristic
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2312yes—
349C2×C4⋊Q8C2312yes—
350C2×C4⋊Q8C2311yescharacteristic
351C2×#127C2311yescharacteristic
352C2×#127C2314yes—
353C2×#127C2312yes—
354C2×#127C2312yes—
355C2×#127C2311yescharacteristic
356C2×#127C2312yes—
357#529—28no—
358C2×#126C2312yes—
359C2×#126C2314yes—
360C2×#125C2314yes—
361C2×#125C2311yescharacteristic
362C2×#125C2312yes—
363C2×#125C2312yes—
364C2×#124C2314yes—
365C2×#124C2314yes—
366C2×#124C2311yescharacteristic
367C2×#124C2311yescharacteristic
368C2×#124C2314yes—
369C2×#124C2312yes—
370C2×#124C2314yes—
371C2×#124C2312yes—
372C2×#124C2314yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2312yes—
376C2×#124C2314yes—
377C2×#123C2314yes—
378C2×#123C2312yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×#123C2312yes—
386C2×#123C2314yes—
387C2×#123C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2311yescharacteristic
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2311yescharacteristic
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2311yescharacteristic
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2314yes—
407C2×#121C2312yes—
408C2×#121C2312yes—
409C2×#121C2312yes—
410C2×#121C2314yes—
411C2×#121C2311yescharacteristic
412C2×#121C2311yescharacteristic
413C2×#121C2311yescharacteristic
414C2×#121C2312yes—
415C2×#121C2314yes—
416C2×#121C2314yes—
417C2×#121C2314yes—
418C2×#121C2314yes—
419C2×#121C2312yes—
420C2×#121C2314yes—
421C2×#121C2312yes—
422C2×#121C2314yes—
423C2×#121C2314yes—
424C2×#121C2314yes—
425C2×#121C2314yes—
426C2×#121C2314yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2311yescharacteristic
431C2×#121C2314yes—
432C2×#121C2312yes—
433C2×#121C2314yes—
434C2×#121C2314yes—
435C2×#121C2312yes—
436C2×#121C2314yes—
437C2×#121C2314yes—
438C2×#121C2314yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C4×#41—28no—
442C4×#41—28no—
443C4×#41—216no—
444C4×#41—216no—
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2312yes—
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2312yes—
457C2×C4×D4C2314yes—
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2314yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2314yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2314yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2314yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2314yes—
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2312yes—
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2314yes—
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2311yescharacteristic
485C2×#117C2312yes—
486C2×#117C2314yes—
487C2×#117C2314yes—
488C2×#117C2314yes—
489C2×#117C2312yes—
490C2×#117C2312yes—
491C2×#117C2311yescharacteristic
492C2×#117C2311yescharacteristic
493C2×#117C2312yes—
494C2×#117C2312yes—
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2312yes—
498C22×C4⋊C4C2312yes—
499C22×C4⋊C4C2312yes—
500C22×C4⋊C4C2312yes—
501C22×C4⋊C4C2312yes—
502C22×C4⋊C4C2314yes—
503C22×C42C2314yes—
504C22×C42C2312yes—
505C22×C42C2312yes—
506C22×C42C2311yescharacteristic
507C22×C42C2311yescharacteristic
508#400C2314yes—
509#400C2312yes—
510#400C2314yes—
511#400C2314yes—
512#399C2312yes—
513#399C2314yes—
514#399C2314yes—
515#399C2314yes—
516#398C2314yes—
517#398C2312yes—
518#398C2314yes—
519#398C2314yes—
520#398C2312yes—
521#398C2314yes—
522#398C2314yes—
523#398C2312yes—
524#398C2314yes—
525#398C2314yes—
526#398C2314yes—
527#397C2314yes—
528#397C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#397C2314yes—
533#397C2312yes—
534#397C2312yes—
535#397C2312yes—
536#397C2312yes—
537#397C2312yes—
538#396C2312yes—
539#396C2314yes—
540#396C2314yes—
541#396C2314yes—
542#396C2312yes—
543#396C2314yes—
544#396C2314yes—
545#396C2314yes—
546#396C2312yes—
547#396C2312yes—
548#396C2314yes—
549#396C2314yes—
550#396C2314yes—
551#396C2314yes—
552#396C2314yes—
553#395C2314yes—
554#395C2314yes—
555#395C2314yes—
556#395C2312yes—
557#394C2312yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2312yes—
565#394C2314yes—
566#394C2312yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2312yes—
574#394C2312yes—
575#394C2312yes—
576#394C2312yes—
577#394C2312yes—
578#394C2312yes—
579#394C2312yes—
580#394C2312yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#393C2314yes—
587#393C2314yes—
588#393C2314yes—
589#393C2314yes—
590#393C2314yes—
591#393C2314yes—
592#393C2312yes—
593#392C2312yes—
594#392C2314yes—
595#392C2314yes—
596#392C2314yes—
597#392C2314yes—
598#392C2314yes—
599#392C2314yes—
600#392C2314yes—
601#392C2312yes—
602#392C2312yes—
603#392C2312yes—
604#392C2312yes—
605#392C2314yes—
606#392C2314yes—
607#392C2314yes—
608#392C2314yes—
609#392C2314yes—
610#391C2311yescharacteristic
611#391C2312yes—
612#391C2311yescharacteristic
613#391C2311yescharacteristic
614#391C2311yescharacteristic
615#391C2312yes—
616#391C2312yes—
617#391C2312yes—
618#391C2312yes—
619#391C2314yes—
620#391C2312yes—
621#391C2314yes—
622#391C2312yes—
623#391C2312yes—
624#391C2314yes—
625#391C2314yes—
626#391C2312yes—
627#391C2314yes—
628#391C2311yescharacteristic
629#391C2312yes—
630#391C2314yes—
631#391C2311yescharacteristic
632#390C2312yes—
633#390C2312yes—
634#390C2312yes—
635#390C2312yes—
636#390C2314yes—
637#390C2311yescharacteristic
638#390C2311yescharacteristic
639#390C2312yes—
640#390C2312yes—
641#390C2312yes—
642#390C2314yes—
643#390C2314yes—
644#390C2311yescharacteristic
645#390C2312yes—
646#390C2312yes—
647#390C2312yes—
648#390C2312yes—
649#390C2314yes—
650#390C2314yes—
651#390C2311yescharacteristic
652#390C2311yescharacteristic
653#390C2312yes—
654#390C2311yescharacteristic
655#390C2312yes—
656#390C2312yes—
657#390C2314yes—
658#389C2312yes—
659#389C2312yes—
660#389C2312yes—
661#389C2312yes—
662#389C2311yescharacteristic
663#389C2311yescharacteristic
664#389C2312yes—
665#389C2312yes—
666#389C2312yes—
667#389C2312yes—
668#389C2312yes—
669#389C2312yes—
670#389C2312yes—
671#389C2314yes—
672#389C2312yes—
673#389C2312yes—
674#389C2311yescharacteristic
675#389C2312yes—
676#389C2312yes—
677#389C2314yes—
678#389C2314yes—
679#389C2311yescharacteristic
680#389C2311yescharacteristic
681#389C2314yes—
682#389C2314yes—
683#389C2311yescharacteristic
684#389C2312yes—
685#389C2314yes—
686#389C2312yes—
687#389C2311yescharacteristic
688#389C2312yes—
689#389C2311yescharacteristic
690#389C2312yes—
691#388C2314yes—
692#388C2314yes—
693#388C2312yes—
694#388C2312yes—
695#388C2314yes—
696#388C2314yes—
697#388C2312yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2312yes—
703#388C2314yes—
704#388C2314yes—
705#388C2312yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2312yes—
711#388C2312yes—
712#388C2312yes—
713#388C2312yes—
714#388C2312yes—
715#388C2312yes—
716#387C2312yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2312yes—
722#387C2314yes—
723#387C2314yes—
724#387C2312yes—
725#387C2312yes—
726#387C2312yes—
727#387C2312yes—
728#387C2312yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2312yes—
752#386C2312yes—
753#386C2312yes—
754#386C2312yes—
755#386C2312yes—
756#386C2312yes—
757#386C2314yes—
758#386C2314yes—
759#386C2312yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2312yes—
777#385C2312yes—
778#385C2312yes—
779#385C2312yes—
780#385C2312yes—
781#385C2312yes—
782#385C2312yes—
783#385C2312yes—
784#385C2312yes—
785#384C2311yescharacteristic
786#384C2311yescharacteristic
787#384C2314yes—
788#382C2314yes—
789#382C2314yes—
790#382C2312yes—
791#382C2311yescharacteristic
792#381C2312yes—
793#381C2312yes—
794#381C2314yes—
795#381C2314yes—
796#380C2314yes—
797#380C2314yes—
798#380C2314yes—
799#380C2314yes—
800#380C2312yes—
801#380C2312yes—
802#380C2314yes—
803#380C2312yes—
804#380C2312yes—
805#380C2312yes—
806#380C2314yes—
807#380C2314yes—
808#380C2311yescharacteristic
809#380C2311yescharacteristic
810#380C2311yescharacteristic
811#380C2311yescharacteristic
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2314yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2311yescharacteristic
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2311yescharacteristic
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2311yescharacteristic
843#376C2314yes—
844C2×#95C2314yes—
845C2×#95C2314yes—
846C2×#95C2314yes—
847C43C2311yescharacteristic
848C2×#41—28no—
849C2×#41—28no—
850C2×#41—24no—
851C2×#41—28no—
852C2×#41—24no—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—216no—
856C2×#41—28no—
857C2×#41—28no—
858C2×#41—28no—
859C2×#41—28no—
860C2×#41—44no—
861C2×#41—44no—
862C2×#41—44no—
863C2×#41—48no—
864C2×#41—44no—
865C2×#41—44no—
866C2×#41—42no—
867C2×#41—42no—
868C2×#41—44no—
869C2×#41—44no—
870C2×#41—84no—
871C2×#41—82no—
872C22×Q8—28no—
873C22×Q8—44no—
874C22×Q8—44no—
875C22×Q8C2411yescharacteristic
876C22×Q8C2412yes—
877C22×Q8C2411yescharacteristic
878C22×Q8C2411yescharacteristic
879C22×Q8C2414yes—
880C22×Q8C2412yes—
881C22×Q8C2414yes—
882C22×Q8C2412yes—
883C22×D4C2411yescharacteristic
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2414yes—
888C22×D4C2412yes—
889C22×D4C2414yes—
890C22×D4C2411yescharacteristic
891C22×D4C2411yescharacteristic
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2414yes—
900C22×D4C2412yes—
901C22×D4C2412yes—
902C22×D4C2411yescharacteristic
903C22×D4C2412yes—
904C22×D4C2414yes—
905C22×D4C2414yes—
906C22×D4C2414yes—
907C22×D4C2414yes—
908C23×C4C2412yes—
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2411yescharacteristic
912C23×C4C2411yescharacteristic
913C23×C4C2412yes—
914C23×C4C2414yes—
915C23×C4C2412yes—
916C23×C4C2414yes—
917C23×C4C2414yes—
918C23×C4C2411yescharacteristic
919C23×C4C2412yes—
920C23×C4C2412yes—
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2414yes—
924C23×C4C2414yes—
925C23×C4C2414yes—
926C23×C4C2411yescharacteristic
927C23×C4C2414yes—
928C23×C4C2414yes—
929C4⋊Q8—216no—
930C4⋊Q8—24no—
931C4⋊Q8—28no—
932C4⋊Q8—24no—
933C4⋊Q8—28no—
934C4⋊Q8—28no—
935C4⋊Q8—28no—
936C4⋊Q8—24no—
937C4⋊Q8—216no—
938C4⋊Q8C2×D418yes—
939#127—24no—
940#127—216no—
941#127—28no—
942#127—28no—
943#127—24no—
944#127—44no—
945#126—28no—
946#126—216no—
947#125—24no—
948#125—28no—
949#125—28no—
950#125—216no—
951#124—28no—
952#124—24no—
953#124—24no—
954#124—28no—
955#124—216no—
956#124—216no—
957#124—216no—
958#124—216no—
959#124—216no—
960#124—44no—
961#124—44no—
962#124—44no—
963#124C2×D4132yes—
964#123—28no—
965#123—216no—
966#123—216no—
967#123—216no—
968#123—216no—
969#123—44no—
970#123—44no—
971#123—48no—
972#123—48no—
973#123—48no—
974#123—48no—
975C22⋊Q8—28no—
976C22⋊Q8—216no—
977C22⋊Q8—24no—
978C22⋊Q8—28no—
979C22⋊Q8—24no—
980C22⋊Q8—28no—
981C22⋊Q8—24no—
982C22⋊Q8—28no—
983C22⋊Q8—28no—
984C22⋊Q8—28no—
985C22⋊Q8—216no—
986C22⋊Q8—216no—
987C22⋊Q8—216no—
988C22⋊Q8—48no—
989C22⋊Q8—48no—
990C22⋊Q8—48no—
991C22⋊Q8—42no—
992C22⋊Q8—44no—
993C22⋊Q8—84no—
994#121—24no—
995#121—216no—
996#121—216no—
997#121—24no—
998#121—216no—
999#121—216no—
1000#121—216no—
1001#121—28no—
1002#121—28no—
1003#121—28no—
1004#121—28no—
1005#121—28no—
1006#121—24no—
1007#121—216no—
1008#121—216no—
1009#121—216no—
1010#121—216no—
1011#121—28no—
1012#121—216no—
1013#121—48no—
1014#121—48no—
1015#121—48no—
1016#121—48no—
1017#121—42no—
1018#121—44no—
1019#121—44no—
1020#121—44no—
1021#121—44no—
1022#121—84no—
1023#121—82no—
1024#121—84no—
1025#121—84no—
1026#121C2×D4116yes—
1027#121C2×D4116yes—
1028C4×Q8—28no—
1029C4×Q8—24no—
1030C4×Q8—24no—
1031C4×Q8—28no—
1032C4×Q8—28no—
1033C4×Q8—28no—
1034C4×Q8—24no—
1035C4×Q8—24no—
1036C4×Q8—24no—
1037C4×Q8—82no—
1038C4×D4—24no—
1039C4×D4—24no—
1040C4×D4—28no—
1041C4×D4—216no—
1042C4×D4—28no—
1043C4×D4—28no—
1044C4×D4—28no—
1045C4×D4—28no—
1046C4×D4—28no—
1047C4×D4—28no—
1048C4×D4—28no—
1049C4×D4—28no—
1050C4×D4—28no—
1051C4×D4—28no—
1052C4×D4—28no—
1053C4×D4—216no—
1054C4×D4—216no—
1055C4×D4—216no—
1056C4×D4—216no—
1057C4×D4—24no—
1058C4×D4—44no—
1059C4×D4—44no—
1060C4×D4—42no—
1061C4×D4—42no—
1062C4×D4—44no—
1063C4×D4—48no—
1064C4×D4—42no—
1065C4×D4—84no—
1066C4×D4C2×D418yes—
1067C4×D4C2×D418yes—
1068#117—28no—
1069#117—24no—
1070#117—24no—
1071#117—28no—
1072#117—28no—
1073#117—28no—
1074#117—216no—
1075#117—216no—
1076#117—216no—
1077#117—44no—
1078#117—44no—
1079#117C2×D4116yes—
1080#117C2×D4116yes—
1081C2×C4⋊C4—28no—
1082C2×C4⋊C4—28no—
1083C2×C4⋊C4—44no—
1084C2×C4⋊C4—44no—
1085C2×C4⋊C4—48no—
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2411yescharacteristic
1145C2×C4⋊C4C2411yescharacteristic
1146C2×C4⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2411yescharacteristic
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C22⋊C4C2411yescharacteristic
1184C2×C22⋊C4C2411yescharacteristic
1185C2×C22⋊C4C2411yescharacteristic
1186C2×C22⋊C4C2411yescharacteristic
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2414yes—
1216C2×C42—28no—
1217C2×C42—28no—
1218C2×C42—24no—
1219C2×C42—216no—
1220C2×C42—24no—
1221C2×C42C2411yescharacteristic
1222C2×C42C2412yes—
1223C2×C42C2412yes—
1224C2×C42C2414yes—
1225C2×C42C2411yescharacteristic
1226C2×C42C2411yescharacteristic
1227C2×C42C2411yescharacteristic
1228C2×C42C2412yes—
1229C2×C42C2412yes—
1230C2×C42C2412yes—
1231C2×C42C2411yescharacteristic
1232C2×C42C2411yescharacteristic
1233C2×C42C2412yes—
1234C2×C42C2412yes—
1235C2×C42C2411yescharacteristic
1236C2×C42C2412yes—
1237C2×C42C2412yes—
1238C2×C42C2414yes—
1239C2×C42C2411yescharacteristic
1240C2×C42C2411yescharacteristic
1241C2×C42C2411yescharacteristic
1242C2×C42C2414yes—
1243C2×C42C2411yescharacteristic
1244C2×C42C2414yes—
1245C2×C42C2411yescharacteristic
1246C2×C42C2414yes—
1247C2×C42C2411yescharacteristic
1248#95C2412yes—
1249#95C2414yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2411yescharacteristic
1264#95C2411yescharacteristic
1265#95C2412yes—
1266#95C2411yescharacteristic
1267#95C2411yescharacteristic
1268#95C2411yescharacteristic
1269#95C2411yescharacteristic
1270#95C2412yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2414yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2414yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2414yes—
1299#95C2414yes—
1300C24C2512yes—
1301C24C2511yescharacteristic
1302C24C2511yescharacteristic
1303C24C2514yes—
1304C24C2512yes—
1305C24C2512yes—
1306#41—432no—
1307#41—432no—
1308#41—416no—
1309#41—416no—
1310#41—816no—
1311#41—832no—
1312#41—816no—
1313#41—816no—
1314C2×Q8—22no—
1315C2×Q8—22no—
1316C2×Q8—22no—
1317C2×Q8—24no—
1318C2×Q8—28no—
1319C2×Q8—24no—
1320C2×Q8—28no—
1321C2×Q8—24no—
1322C2×Q8—22no—
1323C2×Q8—22no—
1324C2×Q8—22no—
1325C2×Q8—22no—
1326C2×Q8—24no—
1327C2×Q8—42no—
1328C2×Q8—42no—
1329C2×Q8—44no—
1330C2×Q8—42no—
1331C2×Q8—44no—
1332C2×Q8—44no—
1333C2×Q8—44no—
1334C2×Q8—42no—
1335C2×Q8—816no—
1336C2×Q8C22×D418yes—
1337C2×Q8H(5,𝔽2)14yes—
1338C2×Q82−1+414yes—
1339C2×D4—24no—
1340C2×D4—24no—
1341C2×D4—28no—
1342C2×D4—28no—
1343C2×D4—24no—
1344C2×D4—24no—
1345C2×D4—24no—
1346C2×D4—28no—
1347C2×D4—28no—
1348C2×D4—28no—
1349C2×D4—24no—
1350C2×D4—22no—
1351C2×D4—24no—
1352C2×D4—24no—
1353C2×D4—24no—
1354C2×D4—28no—
1355C2×D4—24no—
1356C2×D4—22no—
1357C2×D4—28no—
1358C2×D4—24no—
1359C2×D4—24no—
1360C2×D4—22no—
1361C2×D4—22no—
1362C2×D4—28no—
1363C2×D4—24no—
1364C2×D4—24no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—24no—
1368C2×D4—22no—
1369C2×D4—24no—
1370C2×D4—41no—
1371C2×D4—41no—
1372C2×D4—41no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—42no—
1377C2×D4—44no—
1378C2×D4—42no—
1379C2×D4—42no—
1380C2×D4—44no—
1381C2×D4—42no—
1382C2×D4—42no—
1383C2×D4—42no—
1384C2×D4—44no—
1385C2×D4—44no—
1386C2×D4—42no—
1387C2×D4—42no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—44no—
1391C2×D4—42no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—42no—
1395C2×D4—42no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—42no—
1399C2×D4—42no—
1400C2×D4—42no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—44no—
1404C2×D4—42no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4C22×D414yes—
1412C2×D4C22×D414yes—
1413C2×D4C22×D4116yes—
1414C22×C4—24no—
1415C22×C4—24no—
1416C22×C4—24no—
1417C22×C4—24no—
1418C22×C4—24no—
1419C22×C4—24no—
1420C22×C4—24no—
1421C22×C4—24no—
1422C22×C4—28no—
1423C22×C4—28no—
1424C22×C4—22no—
1425C22×C4—28no—
1426C22×C4—28no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—28no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—24no—
1433C22×C4—24no—
1434C22×C4—22no—
1435C22×C4—24no—
1436C22×C4—22no—
1437C22×C4—28no—
1438C22×C4—22no—
1439C22×C4—28no—
1440C22×C4—24no—
1441C22×C4—22no—
1442C22×C4—22no—
1443C22×C4—22no—
1444C22×C4—22no—
1445C22×C4—28no—
1446C22×C4—22no—
1447C22×C4—22no—
1448C22×C4—24no—
1449C22×C4—24no—
1450C22×C4—24no—
1451C22×C4—22no—
1452C22×C4—28no—
1453C22×C4—44no—
1454C22×C4—44no—
1455C22×C4—42no—
1456C22×C4—42no—
1457C22×C4—44no—
1458C22×C4—41no—
1459C22×C4—42no—
1460C22×C4—42no—
1461C22×C4—44no—
1462C22×C4—44no—
1463C22×C4—44no—
1464C22×C4—44no—
1465C22×C4—41no—
1466C22×C4—44no—
1467C22×C4—41no—
1468C22×C4—44no—
1469C22×C4—44no—
1470C22×C4—44no—
1471C22×C4—44no—
1472C22×C4—44no—
1473C22×C4—44no—
1474C22×C4—44no—
1475C22×C4C22×D418yes—
1476C22×C4C22×D418yes—
1477C22×C4C2512yes—
1478C22×C4C2511yescharacteristic
1479C22×C4C2511yescharacteristic
1480C22×C4C2511yescharacteristic
1481C22×C4C2512yes—
1482C22×C4C2512yes—
1483C22×C4C2511yescharacteristic
1484C22×C4C2512yes—
1485C22×C4C2512yes—
1486C22×C4C2512yes—
1487C22×C4C2514yes—
1488C22×C4C2511yescharacteristic
1489C22×C4C2511yescharacteristic
1490C22×C4C2512yes—
1491C22×C4C2514yes—
1492C22×C4C2512yes—
1493C22×C4C2511yescharacteristic
1494C22×C4C2512yes—
1495C22×C4C2511yescharacteristic
1496C22×C4C2511yescharacteristic
1497C22×C4C2514yes—
1498C22×C4C2511yescharacteristic
1499C22×C4C2512yes—
1500C22×C4C2512yes—
1501C22×C4C2512yes—
1502C22×C4C2512yes—
1503C22×C4C2511yescharacteristic
1504C22×C4C2511yescharacteristic
1505C22×C4C2511yescharacteristic
1506C4⋊C4—22no—
1507C4⋊C4—22no—
1508C4⋊C4—24no—
1509C4⋊C4—28no—
1510C4⋊C4—28no—
1511C4⋊C4—24no—
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—28no—
1515C4⋊C4—28no—
1516C4⋊C4—24no—
1517C4⋊C4—24no—
1518C4⋊C4—22no—
1519C4⋊C4—22no—
1520C4⋊C4—28no—
1521C4⋊C4—24no—
1522C4⋊C4—24no—
1523C4⋊C4—24no—
1524C4⋊C4—28no—
1525C4⋊C4—28no—
1526C4⋊C4—28no—
1527C4⋊C4—24no—
1528C4⋊C4—24no—
1529C4⋊C4—22no—
1530C4⋊C4—24no—
1531C4⋊C4—28no—
1532C4⋊C4—28no—
1533C4⋊C4—24no—
1534C4⋊C4—24no—
1535C4⋊C4—24no—
1536C4⋊C4—28no—
1537C4⋊C4—22no—
1538C4⋊C4—24no—
1539C4⋊C4—22no—
1540C4⋊C4—24no—
1541C4⋊C4—24no—
1542C4⋊C4—22no—
1543C4⋊C4—22no—
1544C4⋊C4—42no—
1545C4⋊C4—44no—
1546C4⋊C4—44no—
1547C4⋊C4—44no—
1548C4⋊C4—42no—
1549C4⋊C4—42no—
1550C4⋊C4—42no—
1551C4⋊C4—42no—
1552C4⋊C4—41no—
1553C4⋊C4—41no—
1554C4⋊C4—44no—
1555C4⋊C4—42no—
1556C4⋊C4—44no—
1557C4⋊C4—42no—
1558C4⋊C4—44no—
1559C4⋊C4—42no—
1560C4⋊C4—42no—
1561C4⋊C4—42no—
1562C4⋊C4—42no—
1563C4⋊C4C22×D418yes—
1564C4⋊C4C22×D414yes—
1565C4⋊C4C22×D414yes—
1566C4⋊C4C22×D418yes—
1567C22⋊C4—24no—
1568C22⋊C4—24no—
1569C22⋊C4—24no—
1570C22⋊C4—24no—
1571C22⋊C4—24no—
1572C22⋊C4—24no—
1573C22⋊C4—28no—
1574C22⋊C4—24no—
1575C22⋊C4—28no—
1576C22⋊C4—28no—
1577C22⋊C4—24no—
1578C22⋊C4—28no—
1579C22⋊C4—24no—
1580C22⋊C4—28no—
1581C22⋊C4—28no—
1582C22⋊C4—28no—
1583C22⋊C4—24no—
1584C22⋊C4—28no—
1585C22⋊C4—24no—
1586C22⋊C4—24no—
1587C22⋊C4—28no—
1588C22⋊C4—24no—
1589C22⋊C4—24no—
1590C22⋊C4—24no—
1591C22⋊C4—24no—
1592C22⋊C4—22no—
1593C22⋊C4—42no—
1594C22⋊C4—42no—
1595C22⋊C4—42no—
1596C22⋊C4—42no—
1597C22⋊C4—41no—
1598C22⋊C4—41no—
1599C22⋊C4—41no—
1600C22⋊C4—41no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—41no—
1604C22⋊C4—44no—
1605C22⋊C4—42no—
1606C22⋊C4—42no—
1607C22⋊C4—42no—
1608C22⋊C4—42no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—42no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—42no—
1618C22⋊C4—42no—
1619C22⋊C4—44no—
1620C22⋊C4—42no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—42no—
1626C22⋊C4—42no—
1627C22⋊C4—42no—
1628C22⋊C4—42no—
1629C22⋊C4—42no—
1630C22⋊C4—44no—
1631C22⋊C4—44no—
1632C22⋊C4C22×D418yes—
1633C22⋊C4C22×D418yes—
1634C22⋊C4C22×D4116yes—
1635C22⋊C4C22×D4116yes—
1636C42—24no—
1637C42—24no—
1638C42—22no—
1639C42—22no—
1640C42—22no—
1641C42—24no—
1642C42—24no—
1643C42—22no—
1644C42—22no—
1645C42—28no—
1646C42—24no—
1647C42—24no—
1648C42—22no—
1649C42—28no—
1650C42—24no—
1651C42—22no—
1652C42—24no—
1653C42—22no—
1654C42—22no—
1655C42—24no—
1656C42—22no—
1657C42—44no—
1658C42—41no—
1659C42—44no—
1660C42—41no—
1661C42C22×D414yes—
1662C42C22×D4116yes—
1663C23—22no—
1664C23—22no—
1665C23—22no—
1666C23—22no—
1667C23—22no—
1668C23—22no—
1669C23—22no—
1670C23—22no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23—22no—
1676C23—21no—
1677C23—21no—
1678C23—24no—
1679C23—22no—
1680C23—21no—
1681C23—21no—
1682C23—24no—
1683C23—21no—
1684C23—22no—
1685C23—24no—
1686C23—21no—
1687C23—21no—
1688C23—22no—
1689C23—21no—
1690C23—24no—
1691C23—21no—
1692C23—24no—
1693C23—21no—
1694C23—21no—
1695C23—21no—
1696C23—24no—
1697C23—22no—
1698C23—22no—
1699C23—22no—
1700C23—21no—
1701C23—24no—
1702C23—21no—
1703C23C23×D414yes—
1704C23C23×D414yes—
1705C23C2611yescharacteristic
1706Q8—28no—
1707Q8—28no—
1708Q8—48no—
1709Q8—44no—
1710Q8—48no—
1711Q8—88no—
1712Q8—88no—
1713Q8—84no—
1714D4—28no—
1715D4—28no—
1716D4—416no—
1717D4—416no—
1718D4—48no—
1719D4—416no—
1720D4—48no—
1721D4—44no—
1722D4—48no—
1723D4—44no—
1724D4—48no—
1725D4—88no—
1726D4—84no—
1727D4—84no—
1728D4—84no—
1729D4—84no—
1730D4—88no—
1731D4—88no—
1732D4—84no—
1733D4—84no—
1734D4—88no—
1735D4—88no—
1736D4—84no—
1737D4—164no—
1738D4—164no—
1739C2×C4—21no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—24no—
1745C2×C4—21no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—24no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—216no—
1754C2×C4—216no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—24no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—22no—
1770C2×C4—24no—
1771C2×C4—22no—
1772C2×C4—21no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—24no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—22no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—22no—
1786C2×C4—21no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—22no—
1794C2×C4—21no—
1795C2×C4—22no—
1796C2×C4—24no—
1797C2×C4—22no—
1798C2×C4—24no—
1799C2×C4—22no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—21no—
1805C2×C4—22no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—24no—
1809C2×C4—22no—
1810C2×C4—21no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—416no—
1816C2×C4—416no—
1817C2×C4—416no—
1818C2×C4—44no—
1819C2×C4—48no—
1820C2×C4—48no—
1821C2×C4—48no—
1822C2×C4—48no—
1823C2×C4—44no—
1824C2×C4—48no—
1825C2×C4—44no—
1826C2×C4—44no—
1827C2×C4—44no—
1828C2×C4—88no—
1829C2×C4—82no—
1830C2×C4—88no—
1831C2×C4—88no—
1832C2×C4—88no—
1833C2×C4—164no—
1834C2×C4C23×D414yes—
1835C2×C4C23×D414yes—
1836C2×C4C23×D418yes—
1837C2×C4C23×D412yes—
1838C2×C4C23×D412yes—
1839C2×C4C23×D412yes—
1840C2×C4C2×H(5,𝔽2)14yes—
1841C2×C4C2×H(5,𝔽2)12yes—
1842C2×C4C2×2−1+414yes—
1843C2×C4C2×2−1+412yes—
1844C2×C4#58512yes—
1845C2×C4#58512yes—
1846C2×C4#58512yes—
1847C22—24no—
1848C22—24no—
1849C22—24no—
1850C22—24no—
1851C22—24no—
1852C22—24no—
1853C22—42no—
1854C22—42no—
1855C22—42no—
1856C22—42no—
1857C22—42no—
1858C22—42no—
1859C22—42no—
1860C22—42no—
1861C22—41no—
1862C22—44no—
1863C22—42no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—42no—
1868C22—44no—
1869C22—42no—
1870C22—41no—
1871C22—41no—
1872C22—44no—
1873C22—44no—
1874C22—41no—
1875C22—41no—
1876C22—42no—
1877C22—44no—
1878C22—41no—
1879C22—41no—
1880C22—42no—
1881C22—41no—
1882C22—42no—
1883C22—41no—
1884C22—44no—
1885C22—41no—
1886C22—42no—
1887C22—41no—
1888C22—44no—
1889C22C24×D411yescharacteristic
1890C22C22×H(5,𝔽2)11yescharacteristic
1891C22C22×2−1+411yescharacteristic
1892C22C2×#58511yescharacteristic
1893C22C2×#58511yescharacteristic
1894C22C2×#58511yescharacteristic
1895C22H(7,𝔽2)11yescharacteristic
1896C4—22no—
1897C4—28no—
1898C4—22no—
1899C4—24no—
1900C4—24no—
1901C4—24no—
1902C4—24no—
1903C4—42no—
1904C4—42no—
1905C4—42no—
1906C4—41no—
1907C4—41no—
1908C4—42no—
1909C4—42no—
1910C4—41no—
1911C4—41no—
1912C4—42no—
1913C4—41no—
1914C4—44no—
1915C4—42no—
1916C4—41no—
1917C4—41no—
1918C4—41no—
1919C4—42no—
1920C4—44no—
1921C4—42no—
1922C4—41no—
1923C4#348814yes—
1924C4#348914yes—
1925C2—44no—
1926C2—44no—
1927C2—81no—
1928C2—84no—
1929C2—82no—
1930C2—81no—
1931C2#6276211yescharacteristic
1932C2C2×#348811yescharacteristic
1933C2C2×#348911yescharacteristic
1934C2#6292311yescharacteristic
1935C2#6295211yescharacteristic
1936C2#6298711yescharacteristic
1937C2#6303911yescharacteristic
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×#3547C2semidirect
2. C2×#3483C2semidirect
3. #59655C2semidirect
4. #59110C2semidirect
5. #59093C2semidirect
6. #59081C2semidirect
7. #59057C2semidirect
8. #51590C2semidirect
9. #51535C2semidirect
10. #46224C2semidirect
11. #45386C2semidirect
12. #45241C2semidirect
13. #44889C2semidirect
14. #44884C2semidirect
15. #42995C2semidirect
16. #42971C2semidirect
17. #42970C2semidirect
18. #42965C2semidirect
19. #39363C2semidirect
20. #39341C2semidirect
21. #38956C2semidirect
22. #38909C2semidirect
23. #37792C2semidirect
24. #37780C2semidirect
25. #37699C2semidirect
26. #36274C2semidirect
27. #36259C2semidirect
28. #36231C2semidirect
29. #36230C2semidirect
30. #36150C2semidirect
31. #35308C2semidirect
32. #35257C2semidirect
33. #34724C2semidirect
34. #34715C2semidirect
35. #34485C2semidirect
316. #555D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35472
C2×#34832
#596552
#591102
#590932
#590812
#590572
#515902
#515352
#462242
#453862
#452412
#448892
#448842
#429952
#429712
#429702
#429652
#393632
#393412
#389562
#389092
#377922
#377802
#376992
#362742
#362592
#362312
#362302
#361502
#353082
#352572
#347242
#347152
#344852