Finite Group Databasebeta

← #7987482

Subgroups — #7987482

Order 512.

7148 conjugacy classes of subgroups.

The subgroup lattice has 1901 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3548C211yesmaximal, characteristic, complemented
2C2×Q8×#41C211yesmaximal, characteristic, complemented
3#59655C211yesmaximal, characteristic, complemented
4#59153C212yesmaximal, complemented
5#59098C212yesmaximal, complemented
6#59084C211yesmaximal, characteristic, complemented
7#59052C211yesmaximal, characteristic, complemented
8#51888C214yesmaximal, complemented
9#51781C214yesmaximal, complemented
10#45762C214yesmaximal, complemented
11#45424C212yesmaximal, complemented
12#45332C212yesmaximal, complemented
13#45296C212yesmaximal, complemented
14#45245C212yesmaximal, complemented
15#42479C212yesmaximal, complemented
16#42477C212yesmaximal, complemented
17#42439C212yesmaximal, complemented
18#42434C212yesmaximal, complemented
19#39599C211yesmaximal, characteristic, complemented
20#39363C211yesmaximal, characteristic, complemented
21#39343C211yesmaximal, characteristic, complemented
22#39174C211yesmaximal, characteristic, complemented
23#37781C212yesmaximal, complemented
24#37781C214yesmaximal, complemented
25#37710C212yesmaximal, complemented
26#36576C211yesmaximal, characteristic, complemented
27#36422C212yesmaximal, complemented
28#36410C211yesmaximal, characteristic, complemented
29#36410C212yesmaximal, complemented
30#36150C211yesmaximal, characteristic, complemented
31#35156C212yesmaximal, complemented
32#35153C212yesmaximal, complemented
33#34715C211yesmaximal, characteristic, complemented
34#34691C211yesmaximal, characteristic, complemented
35#34484C211yesmaximal, characteristic, complemented
36#3548—216no—
37C2×#562C2214yes—
38Q8×#41—216no—
39C2×Q82C2211yescharacteristic
40C2×#557C2211yescharacteristic
41C2×#557C2212yes—
42C2×#554C2211yescharacteristic
43C2×#554C2212yes—
44C2×#554C2214yes—
45C2×#554C2212yes—
46C2×#554C2212yes—
47C2×#554C2211yescharacteristic
48C2×#550C2211yescharacteristic
49C2×#550C2211yescharacteristic
50C2×#550C2212yes—
51C2×D4×Q8C2212yes—
52C2×D4×Q8C2211yescharacteristic
53C2×#548C2212yes—
54C2×#547C2212yes—
55C2×#547C2212yes—
56C2×#540C2212yes—
57C2×#540C2212yes—
58C2×#537C2212yes—
59C2×#537C2214yes—
60C2×#537C2212yes—
61C2×#536C2212yes—
62C2×#536C2212yes—
63C2×#533C2212yes—
64C2×#533C2211yescharacteristic
65C2×#533C2211yescharacteristic
66C2×#533C2214yes—
67C2×#533C2212yes—
68C2×#532C2211yescharacteristic
69C2×#532C2211yescharacteristic
70C2×C4×#41C2212yes—
71C2×C4×#41C2211yescharacteristic
72C22×C4×Q8C2212yes—
73C22×C4×Q8C2211yescharacteristic
74#2858C2211yescharacteristic
75#2857C2211yescharacteristic
76#2856C2211yescharacteristic
77#2856C2212yes—
78#2854C2212yes—
79#2854C2214yes—
80#2854C2214yes—
81#2853C2214yes—
82#2816C2214yes—
83#2814C2214yes—
84#2732C2214yes—
85#2731C2214yes—
86#2729C2214yes—
87#2726C2214yes—
88#2720C2214yes—
89#2711C2214yes—
90#2711C2214yes—
91#2711C2214yes—
92#2711C2214yes—
93#2707C2214yes—
94#2704C2214yes—
95#2704C2214yes—
96#2704C2214yes—
97#2692C2214yes—
98#2687C2214yes—
99#2683C2214yes—
100#2681C2214yes—
101#2681C2214yes—
102#2681C2214yes—
103#2681C2214yes—
104#2681C2214yes—
105#2681C2214yes—
106#2681C2214yes—
107#2680C2214yes—
108#2677C2214yes—
109#2676C2214yes—
110#2676C2214yes—
111#2674C2214yes—
112#2674C2214yes—
113#2672C2214yes—
114#2672C2214yes—
115#2672C2214yes—
116#2672C2214yes—
117#2641C2212yes—
118#2635C2214yes—
119#2630C2214yes—
120#2629C2212yes—
121#2620C2214yes—
122#2620C2212yes—
123#2618C2214yes—
124#2618C2214yes—
125#2616C2212yes—
126#2616C2214yes—
127#2584C2212yes—
128#2582C2211yescharacteristic
129#2582C2212yes—
130#2566C2212yes—
131#2558C2214yes—
132#2552C2212yes—
133#2551C2212yes—
134#2550C2212yes—
135#2548C2211yescharacteristic
136#2548C2212yes—
137#2548C2211yescharacteristic
138#2548C2212yes—
139#2546C2212yes—
140#2546C2211yescharacteristic
141#2542C2211yescharacteristic
142#2542C2212yes—
143#2540C2212yes—
144#2538C2211yescharacteristic
145#2538C2212yes—
146#2492C2212yes—
147#2491C2212yes—
148#2491C2212yes—
149#2491C2214yes—
150#2491C2212yes—
151#2490C2212yes—
152#2476C2214yes—
153#2476C2214yes—
154#2476C2214yes—
155#2476C2214yes—
156#2476C2212yes—
157#2474C2212yes—
158#2473C2212yes—
159#2473C2214yes—
160#2470C2214yes—
161#2465C2214yes—
162#2465C2214yes—
163#2465C2214yes—
164#2465C2212yes—
165#2464C2214yes—
166#2464C2214yes—
167#2464C2214yes—
168#2462C2212yes—
169#2459C2212yes—
170#2458C2214yes—
171#2458C2214yes—
172#2458C2214yes—
173#2456C2214yes—
174#2456C2212yes—
175#2455C2214yes—
176#2454C2212yes—
177#2454C2212yes—
178#2453C2212yes—
179#2452C2212yes—
180#2452C2214yes—
181#2452C2212yes—
182#2452C2212yes—
183#2452C2212yes—
184#2452C2212yes—
185#2451C2211yescharacteristic
186#2451C2212yes—
187#2451C2211yescharacteristic
188#2449C2214yes—
189#2449C2212yes—
190#2448C2212yes—
191#2446C2211yescharacteristic
192#2445C2212yes—
193#2445C2212yes—
194#2445C2212yes—
195#2445C2212yes—
196#2445C2211yescharacteristic
197#2441C2212yes—
198#2440C2212yes—
199#2440C2214yes—
200#2440C2211yescharacteristic
201#2439C2211yescharacteristic
202#2436C2212yes—
203#2434C2211yescharacteristic
204#2432C2212yes—
205#2432C2212yes—
206#2432C2214yes—
207#2432C2212yes—
208#2431C2212yes—
209#2431C2211yescharacteristic
210#2429C2212yes—
211#2429C2214yes—
212#2429C2214yes—
213#2429C2214yes—
214#2429C2211yescharacteristic
215#2429C2212yes—
216#2429C2212yes—
217#2429C2212yes—
218#2427C2212yes—
219#2426C2212yes—
220#2426C2212yes—
221#2426C2212yes—
222#2426C2212yes—
223#2426C2212yes—
224#2426C2214yes—
225#2426C2214yes—
226#2426C2214yes—
227#2426C2212yes—
228#2426C2212yes—
229#2426C2214yes—
230#2426C2211yescharacteristic
231#2423C2211yescharacteristic
232#2423C2214yes—
233#2422C2212yes—
234#2420C2211yescharacteristic
235#2417C2211yescharacteristic
236#2417C2212yes—
237#2416C2214yes—
238#2416C2212yes—
239#2415C2212yes—
240#2414C2212yes—
241#2414C2214yes—
242#2414C2212yes—
243#2414C2211yescharacteristic
244#2413C2214yes—
245#2409C2212yes—
246#2409C2211yescharacteristic
247#2407C2212yes—
248#2407C2212yes—
249#2407C2214yes—
250#2407C2211yescharacteristic
251#2406C2214yes—
252#2399C2212yes—
253#2396C2212yes—
254#2392C2212yes—
255#2388C2212yes—
256#2378C2214yes—
257#2370C2212yes—
258#2369C2211yescharacteristic
259#2367C2212yes—
260#2367C2212yes—
261#2367C2212yes—
262#2367C2212yes—
263#2367C2212yes—
264#2363C2212yes—
265#2363C2212yes—
266#2363C2212yes—
267#2362C2212yes—
268#2360C2212yes—
269#2360C2214yes—
270#2360C2212yes—
271#2354C2211yescharacteristic
272#2354C2212yes—
273Q8×C4⋊C4C2211yescharacteristic
274#2344C2212yes—
275#2341C2212yes—
276#2341C2212yes—
277#2330C2212yes—
278#2326C2212yes—
279#2323C2212yes—
280#2323C2214yes—
281#2323C2212yes—
282#2319C2212yes—
283#2316C2212yes—
284C4×C4⋊Q8C2211yescharacteristic
285C4×C4⋊Q8C2211yescharacteristic
286C4×#124C2211yescharacteristic
287C4×C22⋊Q8C2212yes—
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2211yescharacteristic
290C4×C22⋊Q8C2211yescharacteristic
291C4×#123C2212yes—
292C4×#121C2212yes—
293C4×#121C2211yescharacteristic
294#2297C2214yes—
295#2297C2212yes—
296#2297C2212yes—
297#2295C2211yescharacteristic
298#2293C2211yescharacteristic
299#2290C2212yes—
300C42×D4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2312yes—
305C22×#41C2312yes—
306C22×#41C2314yes—
307C23×Q8C2312yes—
308C23×Q8C2311yescharacteristic
309#562—232no—
310Q82—28no—
311#557—216no—
312#557—28no—
313#554—28no—
314#554—216no—
315#554—232no—
316#554—216no—
317#554—216no—
318#554D4116yescomplemented
319#550—28no—
320#550—216no—
321#550—28no—
322D4×Q8—216no—
323D4×Q8—28no—
324#548—48no—
325#547—216no—
326#547—216no—
327#540—216no—
328#540—216no—
329#537—232no—
330#537—216no—
331#537—216no—
332#536—48no—
333#536—48no—
334#533—28no—
335#533—216no—
336#533—216no—
337#533—232no—
338#533—28no—
339#532—28no—
340#532—28no—
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2314yes—
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2314yes—
347C2×C4⋊Q8C2311yescharacteristic
348C2×C4⋊Q8C2311yescharacteristic
349C2×C4⋊Q8C2312yes—
350C2×C4⋊Q8C2312yes—
351C2×C4⋊Q8C2312yes—
352C2×C4⋊Q8C2314yes—
353C2×C4⋊Q8C2312yes—
354C2×C4⋊Q8C2311yescharacteristic
355C2×#127C2311yescharacteristic
356C2×#127C2312yes—
357C2×#127C2311yescharacteristic
358C2×#127C2312yes—
359C2×#125C2312yes—
360C2×#125C2314yes—
361C2×#125C2314yes—
362C2×#125C2314yes—
363C2×#125C2312yes—
364C2×#125C2312yes—
365C2×#125C2312yes—
366C2×#125C2312yes—
367C2×#124C2312yes—
368C2×#124C2311yescharacteristic
369C2×#124C2312yes—
370C2×#124C2312yes—
371C2×#124C2312yes—
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#124C2314yes—
375C2×#124C2314yes—
376C2×#124C2314yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×#123C2312yes—
386C2×#123C2314yes—
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2311yescharacteristic
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2311yescharacteristic
393C2×C22⋊Q8C2311yescharacteristic
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2311yescharacteristic
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2314yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2314yes—
419C2×#121C2314yes—
420C2×#121C2314yes—
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2311yescharacteristic
424C2×#121C2311yescharacteristic
425C2×#121C2312yes—
426C2×#121C2311yescharacteristic
427C2×#121C2312yes—
428C2×#121C2314yes—
429C2×#121C2312yes—
430C2×#121C2314yes—
431C2×#121C2314yes—
432C2×#121C2314yes—
433C2×#121C2312yes—
434C2×#121C2314yes—
435C2×#121C2314yes—
436C2×#121C2314yes—
437C2×#121C2312yes—
438C2×#121C2314yes—
439C2×#121C2314yes—
440C2×#121C2312yes—
441C4×#41—216no—
442C4×#41—28no—
443C2×C4×Q8—28no—
444C2×C4×Q8—216no—
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2314yes—
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2312yes—
460C2×C4×Q8C2314yes—
461C2×C4×Q8C2312yes—
462C2×C4×Q8C2314yes—
463C2×C4×Q8C2312yes—
464C2×C4×Q8C2312yes—
465C2×C4×Q8C2311yescharacteristic
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2314yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2314yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2312yes—
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2314yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2311yescharacteristic
486C2×#117C2312yes—
487C2×#117C2311yescharacteristic
488C2×#117C2312yes—
489C2×#117C2314yes—
490C2×#117C2312yes—
491C2×#117C2312yes—
492C2×#117C2312yes—
493C2×#117C2314yes—
494C22×C4⋊C4C2312yes—
495C22×C4⋊C4C2314yes—
496C22×C4⋊C4C2314yes—
497C22×C4⋊C4C2311yescharacteristic
498C22×C4⋊C4C2312yes—
499C22×C4⋊C4C2312yes—
500C22×C42C2314yes—
501C22×C42C2312yes—
502C22×C42C2311yescharacteristic
503C22×C42C2312yes—
504C22×C42C2311yescharacteristic
505#400C2314yes—
506#400C2312yes—
507#399C2314yes—
508#399C2314yes—
509#399C2314yes—
510#399C2312yes—
511#399C2314yes—
512#398C2312yes—
513#398C2314yes—
514#398C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2312yes—
518#398C2314yes—
519#398C2314yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2314yes—
529#398C2314yes—
530#397C2314yes—
531#397C2312yes—
532#397C2314yes—
533#396C2314yes—
534#396C2314yes—
535#396C2312yes—
536#396C2314yes—
537#396C2314yes—
538#396C2314yes—
539#396C2314yes—
540#396C2314yes—
541#396C2314yes—
542#396C2312yes—
543#396C2314yes—
544#396C2314yes—
545#396C2314yes—
546#396C2314yes—
547#396C2314yes—
548#396C2314yes—
549#396C2312yes—
550#396C2312yes—
551#396C2314yes—
552#395C2314yes—
553#395C2312yes—
554#395C2314yes—
555#395C2312yes—
556#395C2312yes—
557#395C2312yes—
558#395C2312yes—
559#395C2312yes—
560#395C2314yes—
561#395C2314yes—
562#394C2312yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2312yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2312yes—
579#394C2314yes—
580#394C2314yes—
581#394C2312yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#394C2312yes—
587#394C2312yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#394C2314yes—
592#393C2314yes—
593#393C2314yes—
594#393C2312yes—
595#393C2312yes—
596#393C2314yes—
597#393C2314yes—
598#393C2314yes—
599#393C2314yes—
600#392C2314yes—
601#392C2312yes—
602#392C2314yes—
603#392C2314yes—
604#392C2312yes—
605#392C2312yes—
606#392C2312yes—
607#391C2311yescharacteristic
608#391C2312yes—
609#391C2311yescharacteristic
610#391C2311yescharacteristic
611#391C2312yes—
612#391C2314yes—
613#391C2311yescharacteristic
614#391C2311yescharacteristic
615#391C2312yes—
616#391C2314yes—
617#391C2312yes—
618#391C2312yes—
619#391C2314yes—
620#391C2311yescharacteristic
621#391C2311yescharacteristic
622#391C2311yescharacteristic
623#391C2312yes—
624#391C2312yes—
625#391C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2311yescharacteristic
629#390C2312yes—
630#390C2312yes—
631#390C2312yes—
632#390C2314yes—
633#390C2312yes—
634#390C2314yes—
635#390C2312yes—
636#390C2312yes—
637#390C2314yes—
638#390C2314yes—
639#390C2314yes—
640#390C2312yes—
641#390C2314yes—
642#390C2314yes—
643#390C2312yes—
644#390C2312yes—
645#390C2312yes—
646#390C2312yes—
647#390C2311yescharacteristic
648#390C2312yes—
649#390C2314yes—
650#390C2314yes—
651#390C2314yes—
652#390C2311yescharacteristic
653#390C2312yes—
654#390C2312yes—
655#390C2314yes—
656#390C2312yes—
657#390C2312yes—
658#390C2311yescharacteristic
659#389C2312yes—
660#389C2312yes—
661#389C2312yes—
662#389C2312yes—
663#389C2311yescharacteristic
664#389C2314yes—
665#389C2312yes—
666#389C2312yes—
667#389C2314yes—
668#389C2312yes—
669#389C2314yes—
670#389C2312yes—
671#389C2314yes—
672#389C2314yes—
673#389C2312yes—
674#389C2312yes—
675#389C2312yes—
676#389C2314yes—
677#389C2312yes—
678#389C2311yescharacteristic
679#389C2314yes—
680#389C2314yes—
681#389C2311yescharacteristic
682#389C2311yescharacteristic
683#389C2312yes—
684#389C2314yes—
685#389C2314yes—
686#389C2311yescharacteristic
687#389C2312yes—
688#389C2314yes—
689#389C2314yes—
690#389C2314yes—
691#389C2311yescharacteristic
692#389C2311yescharacteristic
693#389C2311yescharacteristic
694#389C2312yes—
695#388C2314yes—
696#388C2314yes—
697#388C2312yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2312yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2312yes—
721#388C2312yes—
722#388C2314yes—
723#388C2312yes—
724#388C2312yes—
725#388C2312yes—
726#388C2312yes—
727#388C2312yes—
728#387C2312yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2312yes—
735#387C2314yes—
736#387C2314yes—
737#387C2312yes—
738#387C2312yes—
739#387C2312yes—
740#387C2312yes—
741#387C2312yes—
742#387C2312yes—
743#387C2312yes—
744#387C2312yes—
745#387C2312yes—
746#386C2314yes—
747#386C2314yes—
748#386C2312yes—
749#386C2314yes—
750#386C2312yes—
751#386C2312yes—
752#386C2312yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2312yes—
759#386C2314yes—
760#386C2312yes—
761#386C2314yes—
762#386C2312yes—
763#386C2312yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2312yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2312yes—
779#385C2312yes—
780#385C2312yes—
781#385C2314yes—
782#385C2312yes—
783#385C2312yes—
784#385C2312yes—
785#385C2312yes—
786#384C2311yescharacteristic
787#384C2311yescharacteristic
788#384C2312yes—
789#384C2312yes—
790#384C2314yes—
791#382C2311yescharacteristic
792#381C2314yes—
793#381C2312yes—
794#380C2314yes—
795#380C2314yes—
796#380C2312yes—
797#380C2312yes—
798#380C2312yes—
799#380C2312yes—
800#380C2314yes—
801#380C2314yes—
802#380C2311yescharacteristic
803#380C2314yes—
804#380C2311yescharacteristic
805#380C2311yescharacteristic
806#380C2311yescharacteristic
807#380C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2314yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2311yescharacteristic
826C4×C22⋊C4C2311yescharacteristic
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2311yescharacteristic
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2311yescharacteristic
845C4×C22⋊C4C2311yescharacteristic
846#376C2312yes—
847C43C2311yescharacteristic
848C2×#41—28no—
849C2×#41—28no—
850C2×#41—24no—
851C2×#41—24no—
852C2×#41—28no—
853C2×#41—216no—
854C2×#41—28no—
855C2×#41—24no—
856C2×#41—44no—
857C2×#41—44no—
858C2×#41—44no—
859C2×#41—44no—
860C2×#41—44no—
861C2×#41—44no—
862C2×#41—48no—
863C2×#41—44no—
864C2×#41—84no—
865C2×#41—82no—
866C22×Q8—24no—
867C22×Q8—28no—
868C22×Q8—24no—
869C22×Q8—28no—
870C22×Q8—44no—
871C22×Q8—42no—
872C22×Q8C2412yes—
873C22×Q8C2411yescharacteristic
874C22×Q8C2412yes—
875C22×Q8C2414yes—
876C22×Q8C2412yes—
877C22×Q8C2411yescharacteristic
878C22×Q8C2411yescharacteristic
879C22×Q8C2411yescharacteristic
880C22×Q8C2414yes—
881C22×Q8C2412yes—
882C22×Q8C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2411yescharacteristic
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2411yescharacteristic
889C22×D4C2411yescharacteristic
890C22×D4C2412yes—
891C22×D4C2414yes—
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2414yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2412yes—
898C22×D4C2414yes—
899C22×D4C2412yes—
900C22×D4C2414yes—
901C23×C4C2411yescharacteristic
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2411yescharacteristic
905C23×C4C2411yescharacteristic
906C23×C4C2412yes—
907C23×C4C2414yes—
908C23×C4C2414yes—
909C23×C4C2411yescharacteristic
910C23×C4C2412yes—
911C23×C4C2411yescharacteristic
912C23×C4C2411yescharacteristic
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2414yes—
916C23×C4C2414yes—
917C23×C4C2414yes—
918C23×C4C2414yes—
919C4⋊Q8—24no—
920C4⋊Q8—28no—
921C4⋊Q8—216no—
922C4⋊Q8—24no—
923C4⋊Q8—24no—
924C4⋊Q8—24no—
925C4⋊Q8—216no—
926C4⋊Q8—28no—
927C4⋊Q8—28no—
928C4⋊Q8—28no—
929C4⋊Q8—24no—
930C4⋊Q8—44no—
931C4⋊Q8—48no—
932C4⋊Q8C2×D418yes—
933#127—24no—
934#127—28no—
935#127—24no—
936#127—28no—
937#125—216no—
938#125—28no—
939#125—216no—
940#125—216no—
941#125—28no—
942#125—28no—
943#125—28no—
944#125C2×D4116yes—
945#124—28no—
946#124—28no—
947#124—28no—
948#124—24no—
949#124—28no—
950#124—44no—
951#124—44no—
952#124—48no—
953#124—48no—
954#124—84no—
955#123—216no—
956#123—216no—
957#123—216no—
958#123—216no—
959#123—48no—
960#123—48no—
961#123—48no—
962#123—48no—
963#123—44no—
964#123—84no—
965C22⋊Q8—24no—
966C22⋊Q8—28no—
967C22⋊Q8—216no—
968C22⋊Q8—24no—
969C22⋊Q8—28no—
970C22⋊Q8—24no—
971C22⋊Q8—28no—
972C22⋊Q8—216no—
973C22⋊Q8—28no—
974C22⋊Q8—24no—
975C22⋊Q8—216no—
976C22⋊Q8—28no—
977C22⋊Q8—216no—
978C22⋊Q8—216no—
979C22⋊Q8—28no—
980C22⋊Q8—216no—
981C22⋊Q8—216no—
982C22⋊Q8—216no—
983C22⋊Q8—216no—
984C22⋊Q8—216no—
985C22⋊Q8—44no—
986C22⋊Q8—48no—
987C22⋊Q8—48no—
988C22⋊Q8—48no—
989C22⋊Q8—48no—
990C22⋊Q8—42no—
991C22⋊Q8—44no—
992C22⋊Q8—44no—
993C22⋊Q8—44no—
994C22⋊Q8—84no—
995C22⋊Q8C2×D4116yes—
996C22⋊Q8C2×D4132yes—
997#121—24no—
998#121—216no—
999#121—28no—
1000#121—216no—
1001#121—28no—
1002#121—24no—
1003#121—28no—
1004#121—28no—
1005#121—24no—
1006#121—216no—
1007#121—216no—
1008#121—28no—
1009#121—216no—
1010#121—28no—
1011#121—216no—
1012#121—216no—
1013#121—216no—
1014#121—216no—
1015#121—48no—
1016#121—44no—
1017#121—84no—
1018#121—82no—
1019C4×Q8—24no—
1020C4×Q8—28no—
1021C4×Q8—24no—
1022C4×Q8—28no—
1023C4×Q8—28no—
1024C4×Q8—216no—
1025C4×Q8—28no—
1026C4×Q8—216no—
1027C4×Q8—28no—
1028C4×Q8—24no—
1029C4×Q8—28no—
1030C4×Q8—216no—
1031C4×Q8—24no—
1032C4×Q8—28no—
1033C4×Q8—28no—
1034C4×Q8—24no—
1035C4×Q8—28no—
1036C4×Q8—24no—
1037C4×Q8—44no—
1038C4×Q8—82no—
1039C4×Q8C2×D418yes—
1040C4×D4—28no—
1041C4×D4—24no—
1042C4×D4—28no—
1043C4×D4—216no—
1044C4×D4—28no—
1045C4×D4—24no—
1046C4×D4—28no—
1047C4×D4—28no—
1048C4×D4—28no—
1049C4×D4—28no—
1050C4×D4—216no—
1051C4×D4—28no—
1052C4×D4—24no—
1053C4×D4—28no—
1054C4×D4—42no—
1055C4×D4—44no—
1056C4×D4—42no—
1057C4×D4—48no—
1058C4×D4C2×D418yes—
1059C4×D4C2×D4116yes—
1060#117—28no—
1061#117—24no—
1062#117—216no—
1063#117—28no—
1064#117—28no—
1065#117—44no—
1066#117—44no—
1067#117—84no—
1068C2×C4⋊C4—216no—
1069C2×C4⋊C4—28no—
1070C2×C4⋊C4—24no—
1071C2×C4⋊C4—216no—
1072C2×C4⋊C4—28no—
1073C2×C4⋊C4C2×D4116yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2411yescharacteristic
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2411yescharacteristic
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2411yescharacteristic
1163C2×C22⋊C4C2411yescharacteristic
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2411yescharacteristic
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C22⋊C4C2411yescharacteristic
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2412yes—
1208C2×C42—216no—
1209C2×C42—28no—
1210C2×C42—24no—
1211C2×C42—28no—
1212C2×C42—24no—
1213C2×C42C2412yes—
1214C2×C42C2414yes—
1215C2×C42C2412yes—
1216C2×C42C2411yescharacteristic
1217C2×C42C2411yescharacteristic
1218C2×C42C2412yes—
1219C2×C42C2412yes—
1220C2×C42C2411yescharacteristic
1221C2×C42C2411yescharacteristic
1222C2×C42C2412yes—
1223C2×C42C2411yescharacteristic
1224C2×C42C2414yes—
1225C2×C42C2412yes—
1226C2×C42C2414yes—
1227C2×C42C2412yes—
1228C2×C42C2411yescharacteristic
1229C2×C42C2411yescharacteristic
1230C2×C42C2411yescharacteristic
1231C2×C42C2412yes—
1232C2×C42C2411yescharacteristic
1233C2×C42C2411yescharacteristic
1234C2×C42C2412yes—
1235C2×C42C2414yes—
1236C2×C42C2414yes—
1237C2×C42C2414yes—
1238C2×C42C2414yes—
1239C2×C42C2411yescharacteristic
1240C2×C42C2411yescharacteristic
1241C2×C42C2412yes—
1242C2×C42C2411yescharacteristic
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2411yescharacteristic
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2411yescharacteristic
1252#95C2411yescharacteristic
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2411yescharacteristic
1258#95C2411yescharacteristic
1259#95C2411yescharacteristic
1260#95C2412yes—
1261#95C2412yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2412yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2414yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2414yes—
1294#95C2414yes—
1295C24C2511yescharacteristic
1296C24C2512yes—
1297C24C2514yes—
1298C24C2512yes—
1299C24C2511yescharacteristic
1300#41—232no—
1301#41—816no—
1302#41—816no—
1303#41—816no—
1304#41—832no—
1305#41—816no—
1306C2×Q8—22no—
1307C2×Q8—22no—
1308C2×Q8—28no—
1309C2×Q8—24no—
1310C2×Q8—24no—
1311C2×Q8—24no—
1312C2×Q8—22no—
1313C2×Q8—28no—
1314C2×Q8—24no—
1315C2×Q8—22no—
1316C2×Q8—24no—
1317C2×Q8—28no—
1318C2×Q8—24no—
1319C2×Q8—22no—
1320C2×Q8—22no—
1321C2×Q8—22no—
1322C2×Q8—22no—
1323C2×Q8—24no—
1324C2×Q8—24no—
1325C2×Q8—22no—
1326C2×Q8—42no—
1327C2×Q8—44no—
1328C2×Q8—42no—
1329C2×Q8—42no—
1330C2×Q8—42no—
1331C2×Q8—44no—
1332C2×Q8—44no—
1333C2×Q8—42no—
1334C2×Q8—42no—
1335C2×Q8—432no—
1336C2×Q8—416no—
1337C2×Q8C22×D414yes—
1338C2×Q8C22×D418yes—
1339C2×Q8H(5,𝔽2)14yes—
1340C2×Q82−1+414yes—
1341C2×D4—24no—
1342C2×D4—24no—
1343C2×D4—24no—
1344C2×D4—22no—
1345C2×D4—24no—
1346C2×D4—28no—
1347C2×D4—28no—
1348C2×D4—24no—
1349C2×D4—24no—
1350C2×D4—28no—
1351C2×D4—24no—
1352C2×D4—22no—
1353C2×D4—24no—
1354C2×D4—28no—
1355C2×D4—24no—
1356C2×D4—28no—
1357C2×D4—28no—
1358C2×D4—24no—
1359C2×D4—24no—
1360C2×D4—24no—
1361C2×D4—22no—
1362C2×D4—22no—
1363C2×D4—24no—
1364C2×D4—22no—
1365C2×D4—24no—
1366C2×D4—22no—
1367C2×D4—24no—
1368C2×D4—24no—
1369C2×D4—41no—
1370C2×D4—41no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—42no—
1376C2×D4—44no—
1377C2×D4—42no—
1378C2×D4—44no—
1379C2×D4—42no—
1380C2×D4—42no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—42no—
1384C2×D4—44no—
1385C2×D4—42no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—42no—
1389C2×D4—44no—
1390C2×D4—42no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—42no—
1394C2×D4C22×D414yes—
1395C22×C4—24no—
1396C22×C4—22no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—22no—
1401C22×C4—24no—
1402C22×C4—28no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—22no—
1408C22×C4—22no—
1409C22×C4—28no—
1410C22×C4—24no—
1411C22×C4—24no—
1412C22×C4—22no—
1413C22×C4—24no—
1414C22×C4—22no—
1415C22×C4—28no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—28no—
1422C22×C4—24no—
1423C22×C4—22no—
1424C22×C4—24no—
1425C22×C4—28no—
1426C22×C4—28no—
1427C22×C4—28no—
1428C22×C4—44no—
1429C22×C4—42no—
1430C22×C4—44no—
1431C22×C4—44no—
1432C22×C4—44no—
1433C22×C4—41no—
1434C22×C4—44no—
1435C22×C4—41no—
1436C22×C4—41no—
1437C22×C4—42no—
1438C22×C4—44no—
1439C22×C4—42no—
1440C22×C4—44no—
1441C22×C4—42no—
1442C22×C4—42no—
1443C22×C4—44no—
1444C22×C4—44no—
1445C22×C4—44no—
1446C22×C4C22×D418yes—
1447C22×C4C22×D4116yes—
1448C22×C42−1+414yes—
1449C22×C4C2511yescharacteristic
1450C22×C4C2511yescharacteristic
1451C22×C4C2512yes—
1452C22×C4C2511yescharacteristic
1453C22×C4C2512yes—
1454C22×C4C2511yescharacteristic
1455C22×C4C2512yes—
1456C22×C4C2512yes—
1457C22×C4C2514yes—
1458C22×C4C2512yes—
1459C22×C4C2511yescharacteristic
1460C22×C4C2511yescharacteristic
1461C22×C4C2512yes—
1462C22×C4C2512yes—
1463C22×C4C2511yescharacteristic
1464C22×C4C2512yes—
1465C22×C4C2512yes—
1466C22×C4C2511yescharacteristic
1467C22×C4C2514yes—
1468C22×C4C2511yescharacteristic
1469C22×C4C2514yes—
1470C22×C4C2512yes—
1471C22×C4C2512yes—
1472C22×C4C2512yes—
1473C22×C4C2512yes—
1474C22×C4C2511yescharacteristic
1475C22×C4C2512yes—
1476C22×C4C2511yescharacteristic
1477C22×C4C2511yescharacteristic
1478C22×C4C2511yescharacteristic
1479C4⋊C4—24no—
1480C4⋊C4—24no—
1481C4⋊C4—24no—
1482C4⋊C4—22no—
1483C4⋊C4—28no—
1484C4⋊C4—24no—
1485C4⋊C4—28no—
1486C4⋊C4—24no—
1487C4⋊C4—24no—
1488C4⋊C4—28no—
1489C4⋊C4—22no—
1490C4⋊C4—28no—
1491C4⋊C4—28no—
1492C4⋊C4—24no—
1493C4⋊C4—28no—
1494C4⋊C4—24no—
1495C4⋊C4—28no—
1496C4⋊C4—22no—
1497C4⋊C4—24no—
1498C4⋊C4—24no—
1499C4⋊C4—24no—
1500C4⋊C4—22no—
1501C4⋊C4—24no—
1502C4⋊C4—24no—
1503C4⋊C4—24no—
1504C4⋊C4—24no—
1505C4⋊C4—28no—
1506C4⋊C4—28no—
1507C4⋊C4—28no—
1508C4⋊C4—22no—
1509C4⋊C4—24no—
1510C4⋊C4—28no—
1511C4⋊C4—24no—
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—22no—
1515C4⋊C4—24no—
1516C4⋊C4—22no—
1517C4⋊C4—22no—
1518C4⋊C4—24no—
1519C4⋊C4—22no—
1520C4⋊C4—22no—
1521C4⋊C4—24no—
1522C4⋊C4—24no—
1523C4⋊C4—42no—
1524C4⋊C4—42no—
1525C4⋊C4—42no—
1526C4⋊C4—44no—
1527C4⋊C4—41no—
1528C4⋊C4—42no—
1529C4⋊C4—44no—
1530C4⋊C4—42no—
1531C4⋊C4—44no—
1532C4⋊C4—44no—
1533C4⋊C4—42no—
1534C4⋊C4—42no—
1535C4⋊C4—44no—
1536C4⋊C4—42no—
1537C4⋊C4—44no—
1538C4⋊C4—44no—
1539C4⋊C4—44no—
1540C4⋊C4—44no—
1541C4⋊C4—42no—
1542C4⋊C4—44no—
1543C4⋊C4—42no—
1544C4⋊C4C22×D414yes—
1545C4⋊C4C22×D418yes—
1546C4⋊C4C22×D418yes—
1547C4⋊C4C22×D4116yes—
1548C4⋊C4C22×D4116yes—
1549C4⋊C4C22×D418yes—
1550C4⋊C4C22×D414yes—
1551C22⋊C4—28no—
1552C22⋊C4—24no—
1553C22⋊C4—24no—
1554C22⋊C4—22no—
1555C22⋊C4—28no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—28no—
1560C22⋊C4—28no—
1561C22⋊C4—28no—
1562C22⋊C4—28no—
1563C22⋊C4—24no—
1564C22⋊C4—28no—
1565C22⋊C4—24no—
1566C22⋊C4—28no—
1567C22⋊C4—28no—
1568C22⋊C4—28no—
1569C22⋊C4—24no—
1570C22⋊C4—22no—
1571C22⋊C4—28no—
1572C22⋊C4—24no—
1573C22⋊C4—24no—
1574C22⋊C4—24no—
1575C22⋊C4—28no—
1576C22⋊C4—28no—
1577C22⋊C4—24no—
1578C22⋊C4—22no—
1579C22⋊C4—42no—
1580C22⋊C4—42no—
1581C22⋊C4—44no—
1582C22⋊C4—42no—
1583C22⋊C4—44no—
1584C22⋊C4—41no—
1585C22⋊C4—41no—
1586C22⋊C4—41no—
1587C22⋊C4—42no—
1588C22⋊C4—42no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—42no—
1597C22⋊C4—42no—
1598C22⋊C4—44no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—44no—
1602C22⋊C4—42no—
1603C22⋊C4—42no—
1604C22⋊C4—42no—
1605C22⋊C4—42no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—42no—
1610C22⋊C4—42no—
1611C22⋊C4C22×D4116yes—
1612C22⋊C4C22×D418yes—
1613C42—24no—
1614C42—22no—
1615C42—22no—
1616C42—28no—
1617C42—24no—
1618C42—24no—
1619C42—22no—
1620C42—22no—
1621C42—24no—
1622C42—28no—
1623C42—22no—
1624C42—28no—
1625C42—24no—
1626C42—24no—
1627C42—22no—
1628C42—24no—
1629C42—22no—
1630C42—24no—
1631C42—22no—
1632C42—22no—
1633C42—24no—
1634C42—22no—
1635C42—44no—
1636C42—44no—
1637C42—44no—
1638C42—41no—
1639C42—44no—
1640C42—41no—
1641C42C22×D414yes—
1642C42C22×D418yes—
1643C23—21no—
1644C23—22no—
1645C23—21no—
1646C23—22no—
1647C23—22no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—22no—
1652C23—22no—
1653C23—22no—
1654C23—21no—
1655C23—21no—
1656C23—24no—
1657C23—22no—
1658C23—21no—
1659C23—22no—
1660C23—24no—
1661C23—21no—
1662C23—22no—
1663C23—24no—
1664C23—21no—
1665C23—22no—
1666C23—24no—
1667C23—24no—
1668C23—22no—
1669C23—22no—
1670C23—24no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—22no—
1675C23—24no—
1676C23C23×D414yes—
1677C23C2×2−1+412yes—
1678C23C2611yescharacteristic
1679Q8—28no—
1680Q8—28no—
1681Q8—28no—
1682Q8—48no—
1683Q8—416no—
1684Q8—48no—
1685Q8—48no—
1686Q8—48no—
1687Q8—44no—
1688Q8—88no—
1689Q8—84no—
1690D4—216no—
1691D4—28no—
1692D4—48no—
1693D4—44no—
1694D4—48no—
1695D4—44no—
1696D4—48no—
1697D4—88no—
1698D4—88no—
1699D4—84no—
1700D4—84no—
1701D4—88no—
1702D4—84no—
1703D4—88no—
1704D4—88no—
1705D4—84no—
1706D4—84no—
1707D4—88no—
1708C2×C4—216no—
1709C2×C4—21no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—24no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—24no—
1724C2×C4—21no—
1725C2×C4—22no—
1726C2×C4—21no—
1727C2×C4—28no—
1728C2×C4—216no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—21no—
1735C2×C4—24no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—22no—
1744C2×C4—24no—
1745C2×C4—21no—
1746C2×C4—24no—
1747C2×C4—22no—
1748C2×C4—21no—
1749C2×C4—22no—
1750C2×C4—21no—
1751C2×C4—22no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—22no—
1755C2×C4—21no—
1756C2×C4—22no—
1757C2×C4—21no—
1758C2×C4—22no—
1759C2×C4—24no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—21no—
1769C2×C4—22no—
1770C2×C4—24no—
1771C2×C4—22no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—21no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—24no—
1781C2×C4—21no—
1782C2×C4—22no—
1783C2×C4—21no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—416no—
1787C2×C4—48no—
1788C2×C4—416no—
1789C2×C4—44no—
1790C2×C4—416no—
1791C2×C4—44no—
1792C2×C4—44no—
1793C2×C4—48no—
1794C2×C4—44no—
1795C2×C4—84no—
1796C2×C4—82no—
1797C2×C4—88no—
1798C2×C4—88no—
1799C2×C4—88no—
1800C2×C4—84no—
1801C2×C4C23×D414yes—
1802C2×C4C23×D412yes—
1803C2×C4C23×D418yes—
1804C2×C4C23×D414yes—
1805C2×C4C23×D414yes—
1806C2×C4C23×D412yes—
1807C2×C4C23×D412yes—
1808C2×C4C2×H(5,𝔽2)14yes—
1809C2×C4C2×H(5,𝔽2)12yes—
1810C2×C4C2×2−1+412yes—
1811C2×C4C2×2−1+414yes—
1812C2×C4C2×2−1+412yes—
1813C2×C4C2×2−1+412yes—
1814C2×C4#58512yes—
1815C2×C4#58512yes—
1816C22—24no—
1817C22—22no—
1818C22—24no—
1819C22—22no—
1820C22—24no—
1821C22—22no—
1822C22—41no—
1823C22—42no—
1824C22—42no—
1825C22—41no—
1826C22—41no—
1827C22—42no—
1828C22—41no—
1829C22—42no—
1830C22—41no—
1831C22—44no—
1832C22—42no—
1833C22—41no—
1834C22—44no—
1835C22—42no—
1836C22—41no—
1837C22—44no—
1838C22—42no—
1839C22—41no—
1840C22—42no—
1841C22—44no—
1842C22—42no—
1843C22—41no—
1844C22—44no—
1845C22—42no—
1846C22—44no—
1847C22—41no—
1848C22—41no—
1849C22—42no—
1850C22—44no—
1851C22C24×D411yescharacteristic
1852C22C22×H(5,𝔽2)11yescharacteristic
1853C22C22×2−1+411yescharacteristic
1854C22C22×2−1+411yescharacteristic
1855C22C2×#58511yescharacteristic
1856C22C2×#58511yescharacteristic
1857C22H(7,𝔽2)11yescharacteristic
1858C4—22no—
1859C4—24no—
1860C4—28no—
1861C4—22no—
1862C4—22no—
1863C4—24no—
1864C4—24no—
1865C4—24no—
1866C4—24no—
1867C4—41no—
1868C4—42no—
1869C4—42no—
1870C4—42no—
1871C4—41no—
1872C4—41no—
1873C4—42no—
1874C4—41no—
1875C4—42no—
1876C4—42no—
1877C4—41no—
1878C4—41no—
1879C4—44no—
1880C4—42no—
1881C4—41no—
1882C4—42no—
1883C4—44no—
1884C4—41no—
1885C4—42no—
1886C4#348614yes—
1887C4#348814yes—
1888C2—44no—
1889C2—42no—
1890C2—81no—
1891C2—84no—
1892C2—82no—
1893C2#6276111yescharacteristic
1894C2C2×#348611yescharacteristic
1895C2C2×#348811yescharacteristic
1896C2#6291711yescharacteristic
1897C2#6295211yescharacteristic
1898C2#6298711yescharacteristic
1899C2#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×#3548C2semidirect
2. C2×Q8×#41C2semidirect
3. #59655C2semidirect
4. #59153C2semidirect
5. #59098C2semidirect
6. #59084C2semidirect
7. #59052C2semidirect
8. #51888C2semidirect
9. #51781C2semidirect
10. #45762C2semidirect
11. #45424C2semidirect
12. #45332C2semidirect
13. #45296C2semidirect
14. #45245C2semidirect
15. #42479C2semidirect
16. #42477C2semidirect
17. #42439C2semidirect
18. #42434C2semidirect
19. #39599C2semidirect
20. #39363C2semidirect
21. #39343C2semidirect
22. #39174C2semidirect
23. #37781C2semidirect
24. #37781C2semidirect
25. #37710C2semidirect
26. #36576C2semidirect
27. #36422C2semidirect
28. #36410C2semidirect
29. #36410C2semidirect
30. #36150C2semidirect
31. #35156C2semidirect
32. #35153C2semidirect
33. #34715C2semidirect
34. #34691C2semidirect
35. #34484C2semidirect
318. #554D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35482
C2×Q8×#412
#596552
#591532
#590982
#590842
#590522
#518882
#517812
#457622
#454242
#453322
#452962
#452452
#424792
#424772
#424392
#424342
#395992
#393632
#393432
#391742
#377812
#377102
#365762
#364222
#364102
#361502
#351562
#351532
#347152
#346912
#344842