Finite Group Databasebeta

← #7685819

Subgroups — #7685819

Order 512.

7467 conjugacy classes of subgroups.

The subgroup lattice has 1879 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3522C212yesmaximal, complemented
2#59832C211yesmaximal, characteristic, complemented
3#59831C212yesmaximal, complemented
4#59628C212yesmaximal, complemented
5#59125C211yesmaximal, characteristic, complemented
6#59112C212yesmaximal, complemented
7#59093C212yesmaximal, complemented
8#59092C214yesmaximal, complemented
9#59051C211yesmaximal, characteristic, complemented
10#44896C212yesmaximal, complemented
11#44891C212yesmaximal, complemented
12#43924C214yesmaximal, complemented
13#43917C214yesmaximal, complemented
14#39411C212yesmaximal, complemented
15#39403C212yesmaximal, complemented
16#39387C211yesmaximal, characteristic, complemented
17#39350C211yesmaximal, characteristic, complemented
18#38369C214yesmaximal, complemented
19#38025C212yesmaximal, complemented
20#36561C211yesmaximal, characteristic, complemented
21#36469C211yesmaximal, characteristic, complemented
22#36422C212yesmaximal, complemented
23#36259C212yesmaximal, complemented
24#36126C211yesmaximal, characteristic, complemented
25#36126C211yesmaximal, characteristic, complemented
26#36122C211yesmaximal, characteristic, complemented
27#36118C212yesmaximal, complemented
28#35778C212yesmaximal, complemented
29#35724C212yesmaximal, complemented
30#34937C212yesmaximal, complemented
31#34763C211yesmaximal, characteristic, complemented
32#34308C211yesmaximal, characteristic, complemented
33#34206C211yesmaximal, characteristic, complemented
34C4×#547C211yesmaximal, characteristic, complemented
35C2×#2365C211yesmaximal, characteristic, complemented
36#3522—232no—
37C2×#559C2212yes—
38C2×#559C2214yes—
39C2×Q82C2212yes—
40C2×#554C2212yes—
41C2×#554C2214yes—
42C2×#550C2212yes—
43C2×#548C2212yes—
44C2×#548C2212yes—
45C2×#547C2211yescharacteristic
46C2×#547C2212yes—
47C2×#547C2214yes—
48C2×#547C2214yes—
49C2×#547C2212yes—
50C2×#547C2211yescharacteristic
51C2×#542C2212yes—
52C2×#542C2212yes—
53C2×#542C2214yes—
54C2×#542C2214yes—
55C2×#532C2211yescharacteristic
56C2×#532C2212yes—
57C2×#532C2214yes—
58C2×#532C2212yes—
59C22×C4⋊Q8C2211yescharacteristic
60C2×#529C2214yes—
61C2×#529C2212yes—
62C2×#520C2212yes—
63C2×#520C2212yes—
64C2×C4×#41C2212yes—
65C22×C4×Q8C2212yes—
66#2858C2211yescharacteristic
67#2857C2211yescharacteristic
68#2857C2212yes—
69#2856C2211yescharacteristic
70#2854C2212yes—
71#2854C2212yes—
72#2854C2212yes—
73#2853C2214yes—
74#2734C2214yes—
75#2731C2214yes—
76#2730C2214yes—
77#2729C2214yes—
78#2717C2214yes—
79#2716C2214yes—
80#2715C2214yes—
81#2712C2214yes—
82#2712C2214yes—
83#2709C2214yes—
84#2705C2214yes—
85#2704C2214yes—
86#2702C2214yes—
87#2700C2214yes—
88#2698C2214yes—
89#2691C2214yes—
90#2686C2214yes—
91#2674C2214yes—
92#2674C2214yes—
93#2673C2214yes—
94#2672C2214yes—
95#2638C2214yes—
96#2630C2214yes—
97#2625C2212yes—
98#2620C2212yes—
99#2602C2214yes—
100#2600C2214yes—
101#2592C2212yes—
102#2582C2212yes—
103#2579C2214yes—
104#2564C2214yes—
105#2557C2214yes—
106#2556C2214yes—
107#2551C2211yescharacteristic
108#2551C2211yescharacteristic
109#2551C2212yes—
110#2548C2212yes—
111#2547C2211yescharacteristic
112#2547C2212yes—
113#2546C2212yes—
114#2546C2212yes—
115#2545C2212yes—
116#2545C2214yes—
117#2544C2212yes—
118#2544C2214yes—
119#2543C2214yes—
120#2543C2214yes—
121#2542C2211yescharacteristic
122#2541C2211yescharacteristic
123#2541C2211yescharacteristic
124#2541C2212yes—
125#2538C2212yes—
126#2521C2212yes—
127#2519C2212yes—
128#2512C2212yes—
129#2512C2211yescharacteristic
130#2506C2212yes—
131#2506C2211yescharacteristic
132#2501C2211yescharacteristic
133#2496C2212yes—
134#2496C2211yescharacteristic
135#2492C2212yes—
136#2491C2212yes—
137#2491C2212yes—
138#2491C2212yes—
139#2491C2212yes—
140#2491C2212yes—
141#2491C2211yescharacteristic
142#2491C2212yes—
143#2488C2212yes—
144#2486C2211yescharacteristic
145#2486C2212yes—
146#2477C2214yes—
147#2475C2214yes—
148#2474C2214yes—
149#2473C2214yes—
150#2470C2214yes—
151#2469C2214yes—
152#2468C2214yes—
153#2465C2214yes—
154#2465C2214yes—
155#2461C2214yes—
156#2461C2214yes—
157#2459C2214yes—
158#2459C2214yes—
159#2458C2214yes—
160#2458C2214yes—
161#2458C2214yes—
162#2456C2214yes—
163#2455C2214yes—
164#2452C2212yes—
165#2452C2212yes—
166#2452C2212yes—
167#2452C2212yes—
168#2452C2212yes—
169#2451C2212yes—
170#2451C2212yes—
171#2451C2212yes—
172#2451C2214yes—
173#2450C2214yes—
174#2450C2214yes—
175#2450C2214yes—
176#2449C2214yes—
177#2447C2212yes—
178#2445C2212yes—
179#2445C2212yes—
180#2445C2212yes—
181#2444C2214yes—
182#2443C2214yes—
183#2440C2211yescharacteristic
184#2440C2212yes—
185#2440C2212yes—
186#2436C2212yes—
187#2432C2212yes—
188#2432C2212yes—
189#2431C2212yes—
190#2430C2214yes—
191#2430C2214yes—
192#2430C2214yes—
193#2429C2212yes—
194#2429C2214yes—
195#2428C2212yes—
196#2427C2212yes—
197#2426C2212yes—
198#2426C2212yes—
199#2425C2214yes—
200#2425C2214yes—
201#2425C2214yes—
202#2425C2212yes—
203#2422C2212yes—
204#2417C2212yes—
205#2416C2212yes—
206#2416C2212yes—
207#2416C2212yes—
208#2416C2212yes—
209#2416C2211yescharacteristic
210#2416C2212yes—
211#2416C2212yes—
212#2415C2214yes—
213#2413C2214yes—
214#2413C2214yes—
215#2409C2212yes—
216#2407C2212yes—
217#2406C2214yes—
218#2396C2212yes—
219#2395C2212yes—
220#2392C2214yes—
221#2392C2214yes—
222#2367C2212yes—
223#2367C2212yes—
224#2367C2212yes—
225#2366C2211yescharacteristic
226#2366C2211yescharacteristic
227#2365C2211yescharacteristic
228#2365C2212yes—
229#2365C2212yes—
230#2365C2211yescharacteristic
231#2365C2212yes—
232#2365C2214yes—
233#2365C2211yescharacteristic
234#2365C2211yescharacteristic
235#2365C2212yes—
236#2365C2212yes—
237#2365C2211yescharacteristic
238#2365C2211yescharacteristic
239#2362C2212yes—
240#2361C2212yes—
241#2361C2212yes—
242#2361C2212yes—
243#2361C2212yes—
244#2361C2212yes—
245#2361C2212yes—
246#2361C2211yescharacteristic
247#2361C2211yescharacteristic
248#2360C2212yes—
249#2360C2212yes—
250#2359C2214yes—
251#2359C2212yes—
252#2359C2212yes—
253#2354C2212yes—
254#2354C2211yescharacteristic
255#2352C2214yes—
256D4×C4⋊C4C2211yescharacteristic
257D4×C4⋊C4C2211yescharacteristic
258D4×C4⋊C4C2212yes—
259D4×C4⋊C4C2211yescharacteristic
260D4×C4⋊C4C2212yes—
261#2344C2212yes—
262#2344C2211yescharacteristic
263#2344C2211yescharacteristic
264#2339C2212yes—
265#2339C2212yes—
266#2339C2214yes—
267#2325C2214yes—
268#2323C2212yes—
269#2322C2214yes—
270#2311C2212yes—
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2212yes—
275C4×#123C2212yes—
276C4×#123C2212yes—
277C4×#123C2212yes—
278C4×#121C2212yes—
279C4×#121C2211yescharacteristic
280C4×#121C2211yescharacteristic
281C4×#121C2211yescharacteristic
282C4×#121C2212yes—
283C4×#121C2212yes—
284C4×#121C2212yes—
285C4×#121C2212yes—
286C4×#121C2211yescharacteristic
287#2297C2214yes—
288C2×#391C2212yes—
289#2293C2211yescharacteristic
290C2×#389C2212yes—
291C2×#389C2212yes—
292C2×#387C2214yes—
293#2285C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C2×C4×C4⋊C4C2212yes—
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C2×C4×C4⋊C4C2211yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2314yes—
303C22×#41C2314yes—
304C22×#41C2312yes—
305C23×Q8C2312yes—
306#559—232no—
307#559—216no—
308Q82—216no—
309#554—232no—
310#554—216no—
311#550—216no—
312#548—216no—
313#548—216no—
314#547—232no—
315#547—28no—
316#547—232no—
317#547—216no—
318#547—48no—
319#547D4116yescomplemented
320#542—216no—
321#542—232no—
322#542—232no—
323#542—216no—
324#532—232no—
325#532—28no—
326#532—216no—
327#532—48no—
328C2×C4⋊Q8—28no—
329C2×C4⋊Q8C2311yescharacteristic
330C2×C4⋊Q8C2311yescharacteristic
331C2×C4⋊Q8C2312yes—
332C2×C4⋊Q8C2312yes—
333C2×C4⋊Q8C2312yes—
334C2×C4⋊Q8C2314yes—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2314yes—
337C2×C4⋊Q8C2314yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×#127C2311yescharacteristic
344C2×#127C2314yes—
345C2×#127C2312yes—
346C2×#127C2312yes—
347#529—232no—
348#529—216no—
349C2×#126C2314yes—
350C2×#126C2312yes—
351C2×#126C2314yes—
352C2×#126C2312yes—
353C2×#125C2312yes—
354C2×#125C2314yes—
355C2×#124C2312yes—
356C2×#124C2312yes—
357C2×#124C2312yes—
358C2×#124C2314yes—
359C2×#124C2314yes—
360C2×#124C2314yes—
361C2×#124C2314yes—
362C2×#124C2314yes—
363C2×#124C2312yes—
364C2×#124C2314yes—
365C2×#124C2312yes—
366C2×#124C2314yes—
367C2×#123C2314yes—
368C2×#123C2314yes—
369C2×#123C2314yes—
370C2×#123C2312yes—
371C2×#123C2312yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2312yes—
378C2×#123C2314yes—
379C2×#123C2312yes—
380C2×#123C2312yes—
381C2×C22⋊Q8C2314yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2314yes—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2314yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2312yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#121C2314yes—
402C2×#121C2311yescharacteristic
403C2×#121C2314yes—
404C2×#121C2312yes—
405C2×#121C2314yes—
406C2×#121C2314yes—
407C2×#121C2311yescharacteristic
408C2×#121C2314yes—
409C2×#121C2312yes—
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#121C2312yes—
413C2×#121C2314yes—
414C2×#121C2311yescharacteristic
415C2×#121C2311yescharacteristic
416#520—216no—
417#520—216no—
418C4×#41—48no—
419C2×C4×Q8—216no—
420C2×C4×Q8C2312yes—
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2312yes—
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2314yes—
427C2×C4×Q8C2314yes—
428C2×C4×Q8C2312yes—
429C2×C4×Q8C2314yes—
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2312yes—
432C2×C4×D4C2314yes—
433C2×C4×D4C2314yes—
434C2×C4×D4C2314yes—
435C2×C4×D4C2314yes—
436C2×C4×D4C2314yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2314yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2312yes—
444C2×C4×D4C2314yes—
445C2×C4×D4C2314yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2314yes—
448C2×C4×D4C2314yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2314yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2311yescharacteristic
465C2×#117C2312yes—
466C2×#117C2312yes—
467C2×#117C2314yes—
468C2×#117C2314yes—
469C2×#117C2312yes—
470C2×#117C2312yes—
471C2×#117C2312yes—
472C22×C4⋊C4C2314yes—
473C22×C4⋊C4C2312yes—
474C22×C4⋊C4C2314yes—
475C22×C4⋊C4C2312yes—
476C22×C4⋊C4C2312yes—
477C22×C4⋊C4C2312yes—
478C22×C4⋊C4C2314yes—
479C22×C4⋊C4C2311yescharacteristic
480C22×C4⋊C4C2311yescharacteristic
481C22×C4⋊C4C2311yescharacteristic
482C22×C4⋊C4C2312yes—
483C22×C4⋊C4C2311yescharacteristic
484C22×C4⋊C4C2311yescharacteristic
485C22×C4⋊C4C2311yescharacteristic
486C22×C42C2314yes—
487C22×C42C2312yes—
488C22×C42C2312yes—
489C22×C42C2311yescharacteristic
490C22×C42C2311yescharacteristic
491C22×C42C2312yes—
492C22×C42C2312yes—
493#400C2314yes—
494#400C2314yes—
495#400C2312yes—
496#400C2312yes—
497#399C2314yes—
498#399C2312yes—
499#399C2312yes—
500#398C2312yes—
501#398C2314yes—
502#398C2314yes—
503#398C2314yes—
504#398C2314yes—
505#398C2314yes—
506#398C2312yes—
507#398C2312yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#397C2314yes—
512#397C2314yes—
513#397C2314yes—
514#397C2314yes—
515#397C2314yes—
516#397C2312yes—
517#397C2314yes—
518#397C2314yes—
519#397C2312yes—
520#397C2312yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2312yes—
525#396C2312yes—
526#396C2314yes—
527#396C2314yes—
528#396C2314yes—
529#396C2314yes—
530#396C2314yes—
531#396C2314yes—
532#396C2314yes—
533#395C2314yes—
534#395C2314yes—
535#395C2312yes—
536#395C2314yes—
537#395C2314yes—
538#395C2314yes—
539#395C2314yes—
540#394C2312yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2312yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#393C2314yes—
559#393C2314yes—
560#393C2314yes—
561#393C2312yes—
562#393C2314yes—
563#393C2314yes—
564#393C2314yes—
565#393C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#391C2312yes—
572#391C2312yes—
573#391C2312yes—
574#391C2312yes—
575#391C2312yes—
576#391C2312yes—
577#391C2314yes—
578#391C2312yes—
579#391C2312yes—
580#391C2314yes—
581#391C2312yes—
582#391C2314yes—
583#391C2312yes—
584#391C2312yes—
585#391C2314yes—
586#391C2314yes—
587#391C2314yes—
588#391C2314yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2311yescharacteristic
602#390C2311yescharacteristic
603#390C2312yes—
604#390C2311yescharacteristic
605#390C2312yes—
606#390C2311yescharacteristic
607#390C2314yes—
608#390C2314yes—
609#390C2311yescharacteristic
610#390C2311yescharacteristic
611#389C2312yes—
612#389C2311yescharacteristic
613#389C2311yescharacteristic
614#389C2311yescharacteristic
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2311yescharacteristic
619#389C2314yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2314yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2311yescharacteristic
628#389C2311yescharacteristic
629#389C2311yescharacteristic
630#389C2314yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2314yes—
637#389C2314yes—
638#389C2311yescharacteristic
639#389C2312yes—
640#389C2314yes—
641#389C2312yes—
642#389C2314yes—
643#389C2312yes—
644#389C2311yescharacteristic
645#389C2311yescharacteristic
646#388C2312yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2312yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#388C2312yes—
669#388C2312yes—
670#388C2312yes—
671#388C2314yes—
672#388C2314yes—
673#388C2312yes—
674#388C2312yes—
675#388C2312yes—
676#388C2312yes—
677#388C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2312yes—
688#387C2312yes—
689#387C2312yes—
690#387C2312yes—
691#387C2314yes—
692#387C2312yes—
693#387C2312yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2312yes—
700#387C2312yes—
701#386C2312yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2312yes—
713#386C2312yes—
714#386C2314yes—
715#386C2314yes—
716#386C2312yes—
717#386C2312yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2312yes—
726#386C2312yes—
727#386C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2312yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2312yes—
742#385C2312yes—
743#385C2314yes—
744#385C2312yes—
745#385C2312yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#384C2311yescharacteristic
750#384C2311yescharacteristic
751#384C2311yescharacteristic
752#384C2312yes—
753#384C2311yescharacteristic
754#384C2311yescharacteristic
755#382C2312yes—
756#381C2314yes—
757#381C2312yes—
758#381C2312yes—
759#381C2312yes—
760#381C2314yes—
761#380C2312yes—
762#380C2314yes—
763#380C2314yes—
764#380C2314yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2314yes—
769#380C2311yescharacteristic
770#380C2311yescharacteristic
771#380C2312yes—
772#380C2311yescharacteristic
773#380C2312yes—
774#380C2311yescharacteristic
775#380C2312yes—
776#380C2312yes—
777#380C2311yescharacteristic
778#380C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2314yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2314yes—
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2314yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2314yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2311yescharacteristic
823C4×C22⋊C4C2311yescharacteristic
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2311yescharacteristic
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2311yescharacteristic
833C2×#95C2312yes—
834C2×#95C2314yes—
835C2×#95C2312yes—
836C2×#95C2314yes—
837C2×#95C2312yes—
838C2×#95C2314yes—
839C43C2311yescharacteristic
840C2×#41—28no—
841C2×#41—28no—
842C2×#41—28no—
843C2×#41—216no—
844C2×#41—28no—
845C2×#41—216no—
846C2×#41—44no—
847C2×#41—44no—
848C2×#41—48no—
849C2×#41—48no—
850C2×#41—48no—
851C2×#41—48no—
852C2×#41—44no—
853C2×#41—44no—
854C2×#41C2×D4116yes—
855C22×Q8—28no—
856C22×Q8—28no—
857C22×Q8—44no—
858C22×Q8C2412yes—
859C22×Q8C2412yes—
860C22×Q8C2414yes—
861C22×Q8C2412yes—
862C22×Q8C2414yes—
863C22×Q8C2414yes—
864C22×Q8C2412yes—
865C22×D4C2411yescharacteristic
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2412yes—
869C22×D4C2414yes—
870C22×D4C2412yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2411yescharacteristic
875C22×D4C2411yescharacteristic
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2414yes—
879C22×D4C2414yes—
880C22×D4C2414yes—
881C22×D4C2412yes—
882C23×C4C2412yes—
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2411yescharacteristic
886C23×C4C2414yes—
887C23×C4C2414yes—
888C23×C4C2411yescharacteristic
889C23×C4C2414yes—
890C23×C4C2412yes—
891C23×C4C2412yes—
892C23×C4C2411yescharacteristic
893C23×C4C2411yescharacteristic
894C23×C4C2411yescharacteristic
895C23×C4C2414yes—
896C23×C4C2414yes—
897C23×C4C2414yes—
898C23×C4C2414yes—
899C23×C4C2412yes—
900C23×C4C2411yescharacteristic
901C23×C4C2412yes—
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2412yes—
905C4⋊Q8—216no—
906C4⋊Q8—216no—
907C4⋊Q8—28no—
908C4⋊Q8—28no—
909C4⋊Q8—216no—
910C4⋊Q8—28no—
911C4⋊Q8—28no—
912C4⋊Q8—28no—
913C4⋊Q8—24no—
914C4⋊Q8—24no—
915C4⋊Q8—44no—
916C4⋊Q8—44no—
917C4⋊Q8C2×D418yes—
918C4⋊Q8#4118yescomplemented
919#127—216no—
920#127—28no—
921#127—24no—
922#127—44no—
923#126—216no—
924#126—28no—
925#126—28no—
926#126—216no—
927#125—28no—
928#125—216no—
929#124—216no—
930#124—28no—
931#124—216no—
932#124—28no—
933#124—28no—
934#124—216no—
935#124—216no—
936#124—216no—
937#124—216no—
938#124—28no—
939#124—48no—
940#124—44no—
941#123—28no—
942#123—216no—
943#123—216no—
944#123—216no—
945#123—216no—
946#123—216no—
947#123—216no—
948#123—28no—
949#123—216no—
950#123—48no—
951#123—44no—
952#123—48no—
953#123C2×D4116yes—
954#123C2×D4116yes—
955C22⋊Q8—216no—
956C22⋊Q8—28no—
957C22⋊Q8—216no—
958C22⋊Q8—28no—
959C22⋊Q8—216no—
960C22⋊Q8—216no—
961C22⋊Q8—216no—
962C22⋊Q8—28no—
963C22⋊Q8—28no—
964C22⋊Q8—216no—
965C22⋊Q8—216no—
966C22⋊Q8—48no—
967C22⋊Q8—44no—
968C22⋊Q8C2×D4116yes—
969#121—216no—
970#121—28no—
971#121—216no—
972#121—216no—
973#121—216no—
974#121—28no—
975#121—24no—
976#121—28no—
977#121—28no—
978#121—28no—
979#121—28no—
980#121—28no—
981#121—28no—
982#121—24no—
983#121—216no—
984#121—44no—
985#121—44no—
986#121—44no—
987#121—48no—
988#121C2×D418yes—
989#121C2×D418yes—
990C4×Q8—28no—
991C4×Q8—216no—
992C4×Q8—28no—
993C4×Q8—28no—
994C4×Q8—216no—
995C4×Q8—28no—
996C4×Q8—28no—
997C4×Q8—216no—
998C4×Q8—28no—
999C4×Q8—28no—
1000C4×Q8—44no—
1001C4×Q8—44no—
1002C4×D4—28no—
1003C4×D4—216no—
1004C4×D4—216no—
1005C4×D4—216no—
1006C4×D4—216no—
1007C4×D4—28no—
1008C4×D4—28no—
1009C4×D4—216no—
1010C4×D4—216no—
1011C4×D4—24no—
1012C4×D4—28no—
1013C4×D4—28no—
1014C4×D4—28no—
1015C4×D4—28no—
1016C4×D4—28no—
1017C4×D4—216no—
1018C4×D4—216no—
1019C4×D4—216no—
1020C4×D4—216no—
1021C4×D4—24no—
1022C4×D4—24no—
1023C4×D4—44no—
1024C4×D4—48no—
1025C4×D4—42no—
1026C4×D4—44no—
1027C4×D4—44no—
1028C4×D4—44no—
1029C4×D4—44no—
1030C4×D4—42no—
1031C4×D4—44no—
1032C4×D4—44no—
1033C4×D4C2×D418yes—
1034C4×D4C2×D418yes—
1035#117—28no—
1036#117—216no—
1037#117—216no—
1038#117—28no—
1039#117—44no—
1040#117—44no—
1041#117—44no—
1042C2×C4⋊C4—216no—
1043C2×C4⋊C4—216no—
1044C2×C4⋊C4—24no—
1045C2×C4⋊C4—216no—
1046C2×C4⋊C4—28no—
1047C2×C4⋊C4—28no—
1048C2×C4⋊C4—28no—
1049C2×C4⋊C4—28no—
1050C2×C4⋊C4—24no—
1051C2×C4⋊C4—42no—
1052C2×C4⋊C4—42no—
1053C2×C4⋊C4—44no—
1054C2×C4⋊C4C2×D418yes—
1055C2×C4⋊C4C2×D418yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C22⋊C4C2411yescharacteristic
1125C2×C22⋊C4C2411yescharacteristic
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2411yescharacteristic
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2411yescharacteristic
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2411yescharacteristic
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C42—28no—
1184C2×C42—216no—
1185C2×C42—28no—
1186C2×C42—24no—
1187C2×C42—24no—
1188C2×C42—44no—
1189C2×C42—44no—
1190C2×C42C2414yes—
1191C2×C42C2412yes—
1192C2×C42C2412yes—
1193C2×C42C2412yes—
1194C2×C42C2414yes—
1195C2×C42C2414yes—
1196C2×C42C2414yes—
1197C2×C42C2412yes—
1198C2×C42C2412yes—
1199C2×C42C2411yescharacteristic
1200C2×C42C2412yes—
1201C2×C42C2411yescharacteristic
1202C2×C42C2412yes—
1203C2×C42C2414yes—
1204C2×C42C2411yescharacteristic
1205C2×C42C2412yes—
1206C2×C42C2412yes—
1207C2×C42C2411yescharacteristic
1208C2×C42C2414yes—
1209C2×C42C2412yes—
1210C2×C42C2411yescharacteristic
1211C2×C42C2411yescharacteristic
1212C2×C42C2411yescharacteristic
1213C2×C42C2411yescharacteristic
1214C2×C42C2411yescharacteristic
1215C2×C42C2412yes—
1216C2×C42C2412yes—
1217C2×C42C2412yes—
1218C2×C42C2412yes—
1219C2×C42C2411yescharacteristic
1220C2×C42C2411yescharacteristic
1221C2×C42C2411yescharacteristic
1222C2×C42C2411yescharacteristic
1223#95C2412yes—
1224#95C2412yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2414yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2414yes—
1235#95C2412yes—
1236#95C2414yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2411yescharacteristic
1249#95C2411yescharacteristic
1250#95C2411yescharacteristic
1251#95C2412yes—
1252#95C2412yes—
1253#95C2411yescharacteristic
1254#95C2411yescharacteristic
1255#95C2411yescharacteristic
1256#95C2412yes—
1257#95C2414yes—
1258#95C2412yes—
1259#95C2414yes—
1260#95C2412yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2414yes—
1270#95C2412yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279C24C2512yes—
1280C24C2514yes—
1281C24C2512yes—
1282C24C2511yescharacteristic
1283C24C2511yescharacteristic
1284#41—432no—
1285#41—432no—
1286#41—432no—
1287#41—832no—
1288#41—832no—
1289C2×Q8—24no—
1290C2×Q8—24no—
1291C2×Q8—28no—
1292C2×Q8—24no—
1293C2×Q8—28no—
1294C2×Q8—28no—
1295C2×Q8—28no—
1296C2×Q8—24no—
1297C2×Q8—24no—
1298C2×Q8—24no—
1299C2×Q8—24no—
1300C2×Q8—42no—
1301C2×Q8—44no—
1302C2×Q8—42no—
1303C2×Q8—42no—
1304C2×Q8—44no—
1305C2×Q8—44no—
1306C2×Q8—44no—
1307C2×Q8—44no—
1308C2×Q8—432no—
1309C2×Q8C22×D418yes—
1310C2×Q8C2×#4118yes—
1311C2×D4—22no—
1312C2×D4—24no—
1313C2×D4—22no—
1314C2×D4—24no—
1315C2×D4—24no—
1316C2×D4—28no—
1317C2×D4—28no—
1318C2×D4—28no—
1319C2×D4—24no—
1320C2×D4—28no—
1321C2×D4—24no—
1322C2×D4—28no—
1323C2×D4—28no—
1324C2×D4—24no—
1325C2×D4—28no—
1326C2×D4—24no—
1327C2×D4—28no—
1328C2×D4—22no—
1329C2×D4—22no—
1330C2×D4—24no—
1331C2×D4—28no—
1332C2×D4—28no—
1333C2×D4—24no—
1334C2×D4—24no—
1335C2×D4—24no—
1336C2×D4—22no—
1337C2×D4—28no—
1338C2×D4—24no—
1339C2×D4—22no—
1340C2×D4—24no—
1341C2×D4—22no—
1342C2×D4—24no—
1343C2×D4—42no—
1344C2×D4—44no—
1345C2×D4—42no—
1346C2×D4—42no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—42no—
1352C2×D4—44no—
1353C2×D4—44no—
1354C2×D4—42no—
1355C2×D4—44no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4C22×D414yes—
1359C2×D4C22×D418yes—
1360C2×D4C22×D414yes—
1361C2×D4C22×D418yes—
1362C22×C4—24no—
1363C22×C4—24no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—24no—
1371C22×C4—24no—
1372C22×C4—28no—
1373C22×C4—28no—
1374C22×C4—24no—
1375C22×C4—22no—
1376C22×C4—24no—
1377C22×C4—28no—
1378C22×C4—24no—
1379C22×C4—28no—
1380C22×C4—24no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—28no—
1384C22×C4—24no—
1385C22×C4—28no—
1386C22×C4—28no—
1387C22×C4—24no—
1388C22×C4—22no—
1389C22×C4—24no—
1390C22×C4—24no—
1391C22×C4—24no—
1392C22×C4—22no—
1393C22×C4—24no—
1394C22×C4—28no—
1395C22×C4—28no—
1396C22×C4—28no—
1397C22×C4—22no—
1398C22×C4—42no—
1399C22×C4—42no—
1400C22×C4—41no—
1401C22×C4—42no—
1402C22×C4—44no—
1403C22×C4—42no—
1404C22×C4—44no—
1405C22×C4—42no—
1406C22×C4—44no—
1407C22×C4—42no—
1408C22×C4—42no—
1409C22×C4—44no—
1410C22×C4—42no—
1411C22×C4—42no—
1412C22×C4—44no—
1413C22×C4—44no—
1414C22×C4—44no—
1415C22×C4—41no—
1416C22×C4—42no—
1417C22×C4—41no—
1418C22×C4—42no—
1419C22×C4—42no—
1420C22×C4—42no—
1421C22×C4—44no—
1422C22×C4—44no—
1423C22×C4—44no—
1424C22×C4—44no—
1425C22×C4C22×D418yes—
1426C22×C4C22×D414yes—
1427C22×C4C22×D414yes—
1428C22×C4C22×D418yes—
1429C22×C4C22×D418yes—
1430C22×C4H(5,𝔽2)14yes—
1431C22×C4C2512yes—
1432C22×C4C2511yescharacteristic
1433C22×C4C2511yescharacteristic
1434C22×C4C2511yescharacteristic
1435C22×C4C2512yes—
1436C22×C4C2511yescharacteristic
1437C22×C4C2511yescharacteristic
1438C22×C4C2512yes—
1439C22×C4C2512yes—
1440C22×C4C2512yes—
1441C22×C4C2512yes—
1442C22×C4C2514yes—
1443C22×C4C2512yes—
1444C22×C4C2512yes—
1445C22×C4C2512yes—
1446C22×C4C2514yes—
1447C22×C4C2512yes—
1448C22×C4C2512yes—
1449C22×C4C2511yescharacteristic
1450C22×C4C2511yescharacteristic
1451C22×C4C2512yes—
1452C22×C4C2512yes—
1453C22×C4C2511yescharacteristic
1454C22×C4C2511yescharacteristic
1455C22×C4C2511yescharacteristic
1456C22×C4C2514yes—
1457C22×C4C2511yescharacteristic
1458C22×C4C2512yes—
1459C22×C4C2511yescharacteristic
1460C22×C4C2511yescharacteristic
1461C4⋊C4—28no—
1462C4⋊C4—24no—
1463C4⋊C4—24no—
1464C4⋊C4—28no—
1465C4⋊C4—28no—
1466C4⋊C4—28no—
1467C4⋊C4—24no—
1468C4⋊C4—28no—
1469C4⋊C4—28no—
1470C4⋊C4—28no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—24no—
1474C4⋊C4—28no—
1475C4⋊C4—24no—
1476C4⋊C4—28no—
1477C4⋊C4—28no—
1478C4⋊C4—24no—
1479C4⋊C4—24no—
1480C4⋊C4—28no—
1481C4⋊C4—24no—
1482C4⋊C4—22no—
1483C4⋊C4—28no—
1484C4⋊C4—28no—
1485C4⋊C4—28no—
1486C4⋊C4—24no—
1487C4⋊C4—24no—
1488C4⋊C4—22no—
1489C4⋊C4—22no—
1490C4⋊C4—22no—
1491C4⋊C4—24no—
1492C4⋊C4—24no—
1493C4⋊C4—22no—
1494C4⋊C4—24no—
1495C4⋊C4—22no—
1496C4⋊C4—24no—
1497C4⋊C4—22no—
1498C4⋊C4—24no—
1499C4⋊C4—22no—
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—22no—
1503C4⋊C4—42no—
1504C4⋊C4—42no—
1505C4⋊C4—44no—
1506C4⋊C4—42no—
1507C4⋊C4—42no—
1508C4⋊C4—42no—
1509C4⋊C4—42no—
1510C4⋊C4—42no—
1511C4⋊C4—42no—
1512C4⋊C4—41no—
1513C4⋊C4—44no—
1514C4⋊C4—42no—
1515C4⋊C4—44no—
1516C4⋊C4—42no—
1517C4⋊C4—42no—
1518C4⋊C4—44no—
1519C4⋊C4C22×D414yes—
1520C4⋊C4C22×D418yes—
1521C4⋊C4C22×D414yes—
1522C4⋊C4C22×D414yes—
1523C4⋊C4C22×D418yes—
1524C4⋊C4C22×D414yes—
1525C4⋊C4C22×D418yes—
1526C4⋊C4C2×#4118yes—
1527C4⋊C4C2×#4118yes—
1528C4⋊C42−1+414yes—
1529C22⋊C4—24no—
1530C22⋊C4—28no—
1531C22⋊C4—24no—
1532C22⋊C4—24no—
1533C22⋊C4—24no—
1534C22⋊C4—28no—
1535C22⋊C4—28no—
1536C22⋊C4—28no—
1537C22⋊C4—22no—
1538C22⋊C4—24no—
1539C22⋊C4—22no—
1540C22⋊C4—28no—
1541C22⋊C4—24no—
1542C22⋊C4—28no—
1543C22⋊C4—24no—
1544C22⋊C4—24no—
1545C22⋊C4—28no—
1546C22⋊C4—28no—
1547C22⋊C4—28no—
1548C22⋊C4—28no—
1549C22⋊C4—24no—
1550C22⋊C4—28no—
1551C22⋊C4—28no—
1552C22⋊C4—28no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—28no—
1556C22⋊C4—22no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—28no—
1560C22⋊C4—24no—
1561C22⋊C4—28no—
1562C22⋊C4—42no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—42no—
1568C22⋊C4—42no—
1569C22⋊C4—42no—
1570C22⋊C4—42no—
1571C22⋊C4—41no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—42no—
1580C22⋊C4—42no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4C22×D418yes—
1584C22⋊C4C22×D414yes—
1585C22⋊C4C22×D418yes—
1586C22⋊C4C22×D418yes—
1587C22⋊C4C22×D414yes—
1588C42—28no—
1589C42—24no—
1590C42—28no—
1591C42—24no—
1592C42—28no—
1593C42—24no—
1594C42—28no—
1595C42—24no—
1596C42—28no—
1597C42—28no—
1598C42—24no—
1599C42—22no—
1600C42—22no—
1601C42—22no—
1602C42—22no—
1603C42—22no—
1604C42—22no—
1605C42—24no—
1606C42—24no—
1607C42—24no—
1608C42—24no—
1609C42—22no—
1610C42—24no—
1611C42—22no—
1612C42—22no—
1613C42—42no—
1614C42—42no—
1615C42—42no—
1616C42—42no—
1617C42—41no—
1618C42—41no—
1619C42C22×D414yes—
1620C42C2×#4114yes—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—22no—
1626C23—21no—
1627C23—21no—
1628C23—22no—
1629C23—22no—
1630C23—21no—
1631C23—21no—
1632C23—22no—
1633C23—21no—
1634C23—22no—
1635C23—22no—
1636C23—21no—
1637C23—22no—
1638C23—24no—
1639C23—22no—
1640C23—24no—
1641C23—24no—
1642C23—22no—
1643C23—24no—
1644C23—22no—
1645C23—24no—
1646C23—22no—
1647C23—22no—
1648C23—24no—
1649C23—24no—
1650C23—22no—
1651C23C23×D412yes—
1652C23C23×D414yes—
1653C23C23×D412yes—
1654C23C2×H(5,𝔽2)12yes—
1655C23#58512yes—
1656C23C2611yescharacteristic
1657Q8—216no—
1658Q8—48no—
1659Q8—48no—
1660Q8—416no—
1661Q8—48no—
1662Q8—88no—
1663Q8—88no—
1664D4—28no—
1665D4—216no—
1666D4—28no—
1667D4—48no—
1668D4—416no—
1669D4—48no—
1670D4—416no—
1671D4—416no—
1672D4—48no—
1673D4—416no—
1674D4—48no—
1675D4—44no—
1676D4—48no—
1677D4—84no—
1678D4—88no—
1679D4—88no—
1680D4—88no—
1681C2×C4—22no—
1682C2×C4—24no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—24no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—216no—
1704C2×C4—28no—
1705C2×C4—28no—
1706C2×C4—28no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—24no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—24no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—24no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—21no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—24no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—24no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—24no—
1749C2×C4—22no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—21no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—48no—
1759C2×C4—48no—
1760C2×C4—416no—
1761C2×C4—48no—
1762C2×C4—44no—
1763C2×C4—416no—
1764C2×C4—416no—
1765C2×C4—48no—
1766C2×C4—48no—
1767C2×C4—44no—
1768C2×C4—48no—
1769C2×C4—82no—
1770C2×C4—88no—
1771C2×C4—88no—
1772C2×C4—88no—
1773C2×C4—84no—
1774C2×C4—88no—
1775C2×C4—84no—
1776C2×C4—84no—
1777C2×C4C23×D412yes—
1778C2×C4C23×D412yes—
1779C2×C4C23×D414yes—
1780C2×C4C23×D414yes—
1781C2×C4C23×D414yes—
1782C2×C4C23×D412yes—
1783C2×C4C23×D412yes—
1784C2×C4C23×D412yes—
1785C2×C4C22×#4112yes—
1786C2×C4C22×#4118yes—
1787C2×C4C22×#4112yes—
1788C2×C4C22×#4112yes—
1789C2×C4C2×H(5,𝔽2)12yes—
1790C2×C4C2×H(5,𝔽2)12yes—
1791C2×C4C2×2−1+414yes—
1792C2×C4C2×2−1+412yes—
1793C2×C4#58512yes—
1794C22—22no—
1795C22—22no—
1796C22—22no—
1797C22—22no—
1798C22—22no—
1799C22—22no—
1800C22—24no—
1801C22—22no—
1802C22—22no—
1803C22—24no—
1804C22—22no—
1805C22—24no—
1806C22—41no—
1807C22—42no—
1808C22—41no—
1809C22—42no—
1810C22—42no—
1811C22—41no—
1812C22—41no—
1813C22—42no—
1814C22—44no—
1815C22—42no—
1816C22—44no—
1817C22—42no—
1818C22—42no—
1819C22—44no—
1820C22—44no—
1821C22—42no—
1822C22—42no—
1823C22—44no—
1824C22—44no—
1825C22—42no—
1826C22—42no—
1827C22—44no—
1828C22#349614yes—
1829C22C24×D411yescharacteristic
1830C22C23×#4111yescharacteristic
1831C22C22×H(5,𝔽2)11yescharacteristic
1832C22C22×2−1+411yescharacteristic
1833C22C2×#58511yescharacteristic
1834C22C2×#58511yescharacteristic
1835C222−1+611yescharacteristic
1836C4—24no—
1837C4—22no—
1838C4—22no—
1839C4—24no—
1840C4—24no—
1841C4—22no—
1842C4—24no—
1843C4—22no—
1844C4—22no—
1845C4—22no—
1846C4—28no—
1847C4—42no—
1848C4—42no—
1849C4—41no—
1850C4—41no—
1851C4—42no—
1852C4—42no—
1853C4—42no—
1854C4—44no—
1855C4—41no—
1856C4—41no—
1857C4—42no—
1858C4—42no—
1859C4—44no—
1860C4—42no—
1861C4—41no—
1862C4—42no—
1863C4—42no—
1864C4D4×#4114yes—
1865C4#352214yescomplemented
1866C2—24no—
1867C2—42no—
1868C2—44no—
1869C2—84no—
1870C2—82no—
1871C2C2×D4×#4111yescharacteristic
1872C2C2×#349611yescharacteristic
1873C2C2×#352211yescharacteristic
1874C2#6296011yescharacteristic
1875C2D4×2−1+411yescharacteristic
1876C2#6300511yescharacteristic
1877C2#6303311yescharacteristic
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×#3522C2semidirect
2. #59832C2semidirect
3. #59831C2semidirect
4. #59628C2semidirect
5. #59125C2semidirect
6. #59112C2semidirect
7. #59093C2semidirect
8. #59092C2semidirect
9. #59051C2semidirect
10. #44896C2semidirect
11. #44891C2semidirect
12. #43924C2semidirect
13. #43917C2semidirect
14. #39411C2semidirect
15. #39403C2semidirect
16. #39387C2semidirect
17. #39350C2semidirect
18. #38369C2semidirect
19. #38025C2semidirect
20. #36561C2semidirect
21. #36469C2semidirect
22. #36422C2semidirect
23. #36259C2semidirect
24. #36126C2semidirect
25. #36126C2semidirect
26. #36122C2semidirect
27. #36118C2semidirect
28. #35778C2semidirect
29. #35724C2semidirect
30. #34937C2semidirect
31. #34763C2semidirect
32. #34308C2semidirect
33. #34206C2semidirect
34. C4×#547C2semidirect
35. C2×#2365C2semidirect
319. #547D4semidirect
918. C4⋊Q8#41semidirect
1865. C4#3522semidirect

Maximal subgroups

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

subgroupindex
C2×#35222
#598322
#598312
#596282
#591252
#591122
#590932
#590922
#590512
#448962
#448912
#439242
#439172
#394112
#394032
#393872
#393502
#383692
#380252
#365612
#364692
#364222
#362592
#361262
#361222
#361182
#357782
#357242
#349372
#347632
#343082
#342062
C4×#5472
C2×#23652