Finite Group Databasebeta

← #7979683

Subgroups — #7979683

Order 512.

6167 conjugacy classes of subgroups.

The subgroup lattice has 1948 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59646C211yesmaximal, characteristic, complemented
2#59632C212yesmaximal, complemented
3#59129C212yesmaximal, complemented
4#59124C211yesmaximal, characteristic, complemented
5#59051C211yesmaximal, characteristic, complemented
6#50746C214yesmaximal, complemented
7#50715C214yesmaximal, complemented
8#46010C212yesmaximal, complemented
9#45647C212yesmaximal, complemented
10#45105C212yesmaximal, complemented
11#45036C212yesmaximal, complemented
12#43476C214yesmaximal, complemented
13#42986C212yesmaximal, complemented
14#42608C212yesmaximal, complemented
15#41021C214yesmaximal, complemented
16#40126C212yesmaximal, complemented
17#39957C212yesmaximal, complemented
18#39888C212yesmaximal, complemented
19#39790C212yesmaximal, complemented
20#39471C211yesmaximal, characteristic, complemented
21#39434C212yesmaximal, complemented
22#39202C211yesmaximal, characteristic, complemented
23#36596C211yesmaximal, characteristic, complemented
24#36481C211yesmaximal, characteristic, complemented
25#36455C211yesmaximal, characteristic, complemented
26#36128C212yesmaximal, complemented
27#36125C211yesmaximal, characteristic, complemented
28#36121C211yesmaximal, characteristic, complemented
29#35274C211yesmaximal, characteristic, complemented
30#35171C211yesmaximal, characteristic, complemented
31#35044C212yesmaximal, complemented
32#34937C211yesmaximal, characteristic, complemented
33#34715C211yesmaximal, characteristic, complemented
34#34411C212yesmaximal, complemented
35C4×#553C211yesmaximal, characteristic, complemented
36C2×#553C2211yescharacteristic
37C2×#553C2212yescomplemented
38C2×#550C2211yescharacteristic
39C2×#550C2212yescomplemented
40C2×#550C2212yescomplemented
41C2×#547C2211yescharacteristic, complemented
42C2×#546C2212yes—
43C2×#546C2212yes—
44C2×#540C2212yescomplemented
45C2×#535C2212yes—
46C2×#535C2212yes—
47C2×#532C2211yescharacteristic
48C2×#532C2211yescharacteristic
49C2×#532C2212yescomplemented
50C2×#532C2212yescomplemented
51C22×#127C2211yescharacteristic
52C2×C4×#41C2211yescharacteristic, complemented
53#2867C2212yes—
54#2863C2212yescomplemented
55#2858C2211yescharacteristic
56#2858C2212yes—
57#2857C2211yescharacteristic
58#2856C2211yescharacteristic
59#2856C2212yescomplemented
60#2856C2212yescomplemented
61#2856C2212yescomplemented
62#2854C2212yescomplemented
63#2850C2212yescomplemented
64#2829C2214yescomplemented
65#2818C2214yescomplemented
66#2803C2214yescomplemented
67#2803C2214yescomplemented
68#2797C2214yescomplemented
69#2780C2214yescomplemented
70#2752C2214yescomplemented
71#2752C2214yescomplemented
72#2715C2214yescomplemented
73#2714C2214yescomplemented
74#2710C2214yescomplemented
75#2710C2214yescomplemented
76#2709C2214yescomplemented
77#2709C2214yescomplemented
78#2709C2214yescomplemented
79#2703C2214yes—
80#2699C2214yescomplemented
81#2699C2214yescomplemented
82#2685C2214yes—
83#2682C2214yescomplemented
84#2678C2214yes—
85#2678C2214yes—
86#2678C2214yes—
87#2673C2214yes—
88#2673C2214yescomplemented
89#2673C2214yescomplemented
90#2673C2214yescomplemented
91#2673C2214yescomplemented
92#2673C2214yescomplemented
93#2671C2214yescomplemented
94#2671C2214yescomplemented
95#2669C2214yes—
96#2669C2214yes—
97#2668C2214yes—
98#2668C2214yes—
99#2662C2214yescomplemented
100#2661C2214yescomplemented
101#2661C2214yescomplemented
102#2657C2214yes—
103#2648C2214yescomplemented
104#2631C2214yescomplemented
105#2630C2214yescomplemented
106#2624C2212yescomplemented
107#2615C2212yes—
108#2606C2214yescomplemented
109#2602C2214yescomplemented
110#2602C2214yescomplemented
111#2602C2214yescomplemented
112#2597C2214yescomplemented
113#2597C2214yescomplemented
114#2557C2214yescomplemented
115#2554C2214yescomplemented
116#2554C2214yescomplemented
117#2552C2211yescharacteristic, complemented
118#2548C2211yescharacteristic
119#2548C2212yescomplemented
120#2548C2212yescomplemented
121#2547C2211yescharacteristic, complemented
122#2546C2211yescharacteristic, complemented
123#2545C2212yescomplemented
124#2544C2212yes—
125#2544C2212yescomplemented
126#2544C2212yescomplemented
127#2543C2214yescomplemented
128#2543C2214yescomplemented
129#2541C2211yescharacteristic
130#2541C2211yescharacteristic
131#2541C2211yescharacteristic
132#2541C2211yescharacteristic
133#2541C2212yes—
134#2541C2211yescharacteristic
135#2541C2212yes—
136#2541C2212yes—
137#2541C2214yescomplemented
138#2541C2214yescomplemented
139#2541C2212yescomplemented
140#2541C2212yescomplemented
141#2540C2212yes—
142#2539C2214yes—
143#2537C2211yescharacteristic, complemented
144#2537C2212yescomplemented
145#2534C2214yes—
146#2522C2214yes—
147#2513C2212yescomplemented
148#2512C2212yescomplemented
149#2507C2212yescomplemented
150#2500C2212yescomplemented
151#2492C2212yescomplemented
152#2490C2212yescomplemented
153#2490C2212yescomplemented
154#2490C2212yescomplemented
155#2490C2212yescomplemented
156#2487C2212yescomplemented
157#2476C2212yes—
158#2474C2212yescomplemented
159#2464C2214yescomplemented
160#2464C2214yescomplemented
161#2464C2214yescomplemented
162#2464C2214yescomplemented
163#2459C2212yescomplemented
164#2459C2214yescomplemented
165#2456C2212yes—
166#2456C2214yescomplemented
167#2456C2214yescomplemented
168#2455C2214yescomplemented
169#2451C2211yescharacteristic, complemented
170#2448C2212yescomplemented
171#2447C2212yescomplemented
172#2445C2212yes—
173#2445C2212yes—
174#2445C2212yes—
175#2445C2212yescomplemented
176#2445C2211yescharacteristic, complemented
177#2445C2212yescomplemented
178#2441C2212yes—
179#2439C2211yescharacteristic, complemented
180#2435C2212yes—
181#2433C2212yes—
182#2433C2212yes—
183#2433C2214yes—
184#2433C2212yes—
185#2432C2212yescomplemented
186#2431C2212yes—
187#2431C2212yes—
188#2431C2212yescomplemented
189#2431C2211yescharacteristic, complemented
190#2431C2212yescomplemented
191#2431C2212yescomplemented
192#2429C2212yes—
193#2428C2212yes—
194#2428C2212yes—
195#2428C2212yes—
196#2428C2212yescomplemented
197#2428C2214yescomplemented
198#2428C2212yescomplemented
199#2428C2214yescomplemented
200#2428C2214yescomplemented
201#2428C2214yescomplemented
202#2428C2212yescomplemented
203#2428C2214yescomplemented
204#2428C2214yescomplemented
205#2428C2212yescomplemented
206#2428C2212yescomplemented
207#2428C2212yescomplemented
208#2426C2211yescharacteristic
209#2426C2212yescomplemented
210#2424C2214yes—
211#2424C2214yes—
212#2423C2212yes—
213#2422C2212yescomplemented
214#2422C2212yescomplemented
215#2420C2211yescharacteristic
216#2420C2212yescomplemented
217#2416C2212yescomplemented
218#2416C2212yescomplemented
219#2416C2212yescomplemented
220#2416C2212yescomplemented
221#2414C2211yescharacteristic
222#2414C2212yescomplemented
223#2414C2212yescomplemented
224#2414C2214yescomplemented
225#2410C2214yes—
226#2408C2212yes—
227#2408C2212yes—
228#2408C2212yes—
229#2407C2212yes—
230#2407C2211yescharacteristic
231#2407C2212yescomplemented
232#2392C2214yescomplemented
233#2392C2212yescomplemented
234#2388C2212yes—
235#2380C2214yescomplemented
236#2375C2214yes—
237#2374C2212yes—
238#2373C2212yescomplemented
239#2370C2211yescharacteristic, complemented
240#2370C2212yescomplemented
241#2367C2212yescomplemented
242#2366C2211yescharacteristic
243#2366C2214yescomplemented
244#2366C2214yescomplemented
245#2365C2211yescharacteristic, complemented
246#2364C2212yes—
247#2363C2211yescharacteristic
248#2363C2212yescomplemented
249#2363C2212yescomplemented
250#2361C2212yescomplemented
251#2361C2212yescomplemented
252#2361C2212yescomplemented
253#2361C2211yescharacteristic, complemented
254#2358C2214yes—
255#2357C2211yescharacteristic, complemented
256#2354C2211yescharacteristic, complemented
257#2353C2212yescomplemented
258#2352C2211yescharacteristic
259Q8×C4⋊C4C2211yescharacteristic, complemented
260#2347C2211yescharacteristic
261#2347C2212yes—
262#2345C2211yescharacteristic, complemented
263#2341C2212yescomplemented
264D4×C22⋊C4C2212yes—
265D4×C22⋊C4C2212yes—
266D4×C22⋊C4C2212yes—
267#2337C2214yescomplemented
268#2337C2214yescomplemented
269#2333C2214yescomplemented
270#2324C2212yescomplemented
271#2324C2212yescomplemented
272#2321C2214yes—
273#2321C2214yes—
274#2311C2212yes—
275C4×C4⋊Q8C2212yescomplemented
276C4×#127C2211yescharacteristic
277C4×#125C2211yescharacteristic, complemented
278C4×#126C2212yescomplemented
279C4×#124C2211yescharacteristic, complemented
280C4×C22⋊Q8C2211yescharacteristic
281C4×#123C2212yes—
282C4×#123C2212yescomplemented
283C4×#121C2212yes—
284C4×#121C2211yescharacteristic
285C4×#121C2212yescomplemented
286C4×#121C2212yescomplemented
287C4×#121C2211yescharacteristic, complemented
288C4×#121C2212yescomplemented
289C4×#121C2211yescharacteristic, complemented
290C4×#121C2212yescomplemented
291#2297C2212yes—
292#2297C2212yescomplemented
293#2293C2211yescharacteristic, complemented
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic, complemented
296C42×D4C2212yescomplemented
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2312yes—
304C23×D4C2312yes—
305C23×D4C2312yes—
306C23×D4C2312yes—
307#553—28no—
308#553—48no—
309#550—44no—
310#550—48no—
311#550—48no—
312#547—44no—
313#546—48no—
314#546—48no—
315#540—48no—
316#535—216no—
317#535—48no—
318#532—44no—
319#532—44no—
320#532—48no—
321#532—48no—
322C2×C4⋊Q8C2312yes—
323C2×C4⋊Q8C2311yescharacteristic
324C2×C4⋊Q8C2311yescharacteristic
325C2×#127—44no—
326C2×#127C2311yescharacteristic
327C2×#127C2314yes—
328C2×#127C2311yescharacteristic
329C2×#127C2312yes—
330C2×#127C2312yes—
331C2×#127C2312yes—
332C2×#127C2312yes—
333C2×#127C2311yescharacteristic
334C2×#127C2314yes—
335C2×#127C2314yes—
336C2×#127C2312yes—
337C2×#127C2312yes—
338C2×#127C2312yes—
339C2×#127C2314yes—
340C2×#127C2314yes—
341C2×#127C2312yes—
342C2×#127C2312yes—
343C2×#127C2314yes—
344C2×#126C2312yes—
345C2×#126C2314yes—
346C2×#125C2311yescharacteristic
347C2×#125C2312yes—
348C2×#124C2314yes—
349C2×#124C2312yes—
350C2×#124C2311yescharacteristic
351C2×#124C2312yes—
352C2×#124C2314yes—
353C2×#124C2312yes—
354C2×#124C2312yes—
355C2×#124C2312yes—
356C2×#124C2312yes—
357C2×#123C2312yes—
358C2×#123C2314yes—
359C2×#123C2314yes—
360C2×#123C2314yes—
361C2×#123C2312yes—
362C2×#123C2314yes—
363C2×#123C2314yes—
364C2×#123C2314yes—
365C2×#123C2314yes—
366C2×C22⋊Q8C2311yescharacteristic
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2311yescharacteristic
373C2×#121C2311yescharacteristic
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2311yescharacteristic
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2314yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2314yes—
387C2×#121C2312yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2314yes—
393C2×#121C2311yescharacteristic
394C2×#121C2311yescharacteristic
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2314yes—
398C2×#121C2314yes—
399C2×#121C2314yes—
400C2×#121C2314yes—
401C2×#121C2314yes—
402C2×#121C2314yes—
403C2×#121C2312yes—
404C2×#121C2314yes—
405C2×#121C2314yes—
406C2×#121C2312yes—
407C2×#121C2314yes—
408C2×#121C2314yes—
409C2×#121C2312yes—
410C2×#121C2314yes—
411C2×#121C2314yes—
412C2×#121C2314yes—
413C2×#120C2314yes—
414C2×#120C2314yes—
415C2×#120C2314yes—
416C2×#120C2314yes—
417C2×#120C2314yes—
418C2×#120C2314yes—
419C2×#120C2314yes—
420C4×#41—44no—
421C2×C4×Q8C2311yescharacteristic
422C2×C4×Q8C2312yes—
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2311yescharacteristic
425C2×C4×D4C2311yescharacteristic
426C2×C4×D4C2312yes—
427C2×C4×D4C2311yescharacteristic
428C2×C4×D4C2311yescharacteristic
429C2×C4×D4C2311yescharacteristic
430C2×C4×D4C2311yescharacteristic
431C2×C4×D4C2311yescharacteristic
432C2×C4×D4C2312yes—
433C2×C4×D4C2311yescharacteristic
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2314yes—
437C2×C4×D4C2314yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2314yes—
443C2×C4×D4C2314yes—
444C2×C4×D4C2314yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2311yescharacteristic
447C2×C4×D4C2312yes—
448C2×C4×D4C2314yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2311yescharacteristic
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2314yes—
456C2×C4×D4C2312yes—
457C2×#117C2311yescharacteristic
458C2×#117C2312yes—
459C2×#117C2312yes—
460C2×#117C2312yes—
461C2×#117C2311yescharacteristic
462C2×#117C2311yescharacteristic
463C22×C4⋊C4C2311yescharacteristic
464C22×C4⋊C4C2311yescharacteristic
465C22×C4⋊C4C2312yes—
466C22×C22⋊C4C2314yes—
467C22×C22⋊C4C2314yes—
468C22×C42C2311yescharacteristic
469C22×C42C2311yescharacteristic
470C22×C42C2312yes—
471C22×C42C2312yes—
472C22×C42C2312yes—
473#400C2314yes—
474#399C2314yes—
475#399C2314yes—
476#399C2314yes—
477#398C2314yes—
478#398C2314yes—
479#398C2314yes—
480#398C2314yes—
481#398C2312yes—
482#397C2312yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2312yes—
494#396C2314yes—
495#396C2312yes—
496#396C2314yes—
497#396C2314yes—
498#395C2312yes—
499#394C2312yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2312yes—
518#394C2312yes—
519#394C2312yes—
520#394C2312yes—
521#394C2314yes—
522#394C2312yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#393C2314yes—
535#393C2312yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2312yes—
552#392C2312yes—
553#392C2312yes—
554#392C2314yes—
555#392C2312yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#391C2311yescharacteristic
568#391C2312yes—
569#391C2314yes—
570#391C2312yes—
571#391C2312yes—
572#391C2312yes—
573#391C2312yes—
574#391C2311yescharacteristic
575#391C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2314yes—
580#390C2314yes—
581#390C2312yes—
582#390C2312yes—
583#390C2314yes—
584#390C2314yes—
585#390C2312yes—
586#390C2312yes—
587#390C2314yes—
588#390C2314yes—
589#390C2314yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2314yes—
597#390C2312yes—
598#390C2314yes—
599#390C2314yes—
600#390C2312yes—
601#390C2311yescharacteristic
602#390C2311yescharacteristic
603#390C2314yes—
604#390C2312yes—
605#390C2312yes—
606#390C2314yes—
607#390C2314yes—
608#390C2312yes—
609#390C2312yes—
610#390C2312yes—
611#390C2311yescharacteristic
612#390C2312yes—
613#390C2312yes—
614#390C2314yes—
615#390C2314yes—
616#390C2311yescharacteristic
617#390C2312yes—
618#390C2311yescharacteristic
619#390C2314yes—
620#390C2312yes—
621#390C2311yescharacteristic
622#389C2311yescharacteristic
623#389C2311yescharacteristic
624#389C2314yes—
625#389C2314yes—
626#389C2312yes—
627#389C2311yescharacteristic
628#389C2312yes—
629#389C2311yescharacteristic
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2314yes—
634#389C2314yes—
635#389C2311yescharacteristic
636#389C2312yes—
637#389C2312yes—
638#389C2311yescharacteristic
639#389C2312yes—
640#389C2312yes—
641#389C2311yescharacteristic
642#389C2311yescharacteristic
643#388C2312yes—
644#388C2312yes—
645#388C2312yes—
646#388C2314yes—
647#388C2312yes—
648#388C2312yes—
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#388C2314yes—
665#388C2314yes—
666#388C2312yes—
667#388C2312yes—
668#388C2312yes—
669#388C2314yes—
670#388C2312yes—
671#388C2312yes—
672#388C2312yes—
673#388C2314yes—
674#388C2312yes—
675#388C2312yes—
676#388C2312yes—
677#388C2312yes—
678#388C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#387C2312yes—
684#387C2312yes—
685#387C2312yes—
686#387C2314yes—
687#387C2312yes—
688#387C2314yes—
689#387C2312yes—
690#387C2314yes—
691#387C2312yes—
692#387C2314yes—
693#387C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2312yes—
715#386C2312yes—
716#386C2312yes—
717#386C2312yes—
718#386C2312yes—
719#386C2312yes—
720#386C2314yes—
721#386C2312yes—
722#386C2312yes—
723#386C2314yes—
724#386C2314yes—
725#386C2312yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2312yes—
731#386C2314yes—
732#386C2314yes—
733#386C2312yes—
734#386C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2312yes—
743#385C2312yes—
744#385C2312yes—
745#384C2311yescharacteristic
746#384C2312yes—
747#384C2312yes—
748#383C2312yes—
749#383C2314yes—
750#382C2311yescharacteristic
751#382C2311yescharacteristic
752#381C2314yes—
753#381C2312yes—
754#381C2312yes—
755#380C2311yescharacteristic
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2314yes—
762#380C2311yescharacteristic
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2311yescharacteristic
767#380C2311yescharacteristic
768#379C2314yes—
769#379C2314yes—
770#379C2314yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2311yescharacteristic
823#376C2312yes—
824C2×#95C2312yes—
825C43C2312yes—
826C43C2311yescharacteristic
827C25C2414yes—
828C2×#41—24no—
829C2×#41—28no—
830C2×#41—28no—
831C2×#41—24no—
832C2×#41—28no—
833C2×#41—44no—
834C2×#41—44no—
835C2×#41—42no—
836C2×#41—44no—
837C2×#41—44no—
838C2×#41—44no—
839C2×#41—44no—
840C2×#41—44no—
841C2×#41—44no—
842C2×#41—44no—
843C22×Q8C2412yes—
844C22×Q8C2411yescharacteristic
845C22×Q8C2412yes—
846C22×D4—28no—
847C22×D4—44no—
848C22×D4—44no—
849C22×D4—44no—
850C22×D4—44no—
851C22×D4—44no—
852C22×D4—44no—
853C22×D4—44no—
854C22×D4—82no—
855C22×D4C2411yescharacteristic
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2411yescharacteristic
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2411yescharacteristic
862C22×D4C2411yescharacteristic
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2412yes—
875C22×D4C2412yes—
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2414yes—
879C22×D4C2414yes—
880C22×D4C2412yes—
881C22×D4C2414yes—
882C22×D4C2414yes—
883C22×D4C2412yes—
884C22×D4C2414yes—
885C22×D4C2414yes—
886C22×D4C2414yes—
887C22×D4C2414yes—
888C22×D4C2414yes—
889C22×D4C2414yes—
890C22×D4C2414yes—
891C22×D4C2414yes—
892C23×C4C2411yescharacteristic
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2411yescharacteristic
897C23×C4C2412yes—
898C23×C4C2411yescharacteristic
899C23×C4C2411yescharacteristic
900C23×C4C2411yescharacteristic
901C23×C4C2414yes—
902C23×C4C2414yes—
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2411yescharacteristic
906C23×C4C2412yes—
907C23×C4C2412yes—
908C23×C4C2414yes—
909C23×C4C2414yes—
910C23×C4C2414yes—
911C23×C4C2412yes—
912C4⋊Q8—28no—
913C4⋊Q8—24no—
914C4⋊Q8—42no—
915#127—216no—
916#127—24no—
917#127—24no—
918#127—44no—
919#127—44no—
920#127—44no—
921#127—48no—
922#127—42no—
923#127—44no—
924#127—44no—
925#127—48no—
926#127—44no—
927#127—44no—
928#127—44no—
929#127—44no—
930#127—48no—
931#127—48no—
932#127—84no—
933#126—28no—
934#126—48no—
935#125—24no—
936#125—28no—
937#124—24no—
938#124—28no—
939#124—216no—
940#124—44no—
941#124—48no—
942#124—44no—
943#124—44no—
944#124—44no—
945#124—44no—
946#123—28no—
947#123—48no—
948#123—48no—
949#123—48no—
950#123—48no—
951#123—48no—
952#123—44no—
953#123—48no—
954#123—84no—
955C22⋊Q8—24no—
956C22⋊Q8—44no—
957C22⋊Q8—44no—
958#121—24no—
959#121—28no—
960#121—24no—
961#121—28no—
962#121—28no—
963#121—28no—
964#121—28no—
965#121—24no—
966#121—28no—
967#121—28no—
968#121—28no—
969#121—44no—
970#121—48no—
971#121—48no—
972#121—48no—
973#121—48no—
974#121—48no—
975#121—48no—
976#121—48no—
977#121—48no—
978#121—48no—
979#121—48no—
980#121—48no—
981#121—48no—
982#121—48no—
983#121—44no—
984#121—42no—
985#121—42no—
986#121—44no—
987#121—44no—
988#121—44no—
989#121—48no—
990#121—44no—
991#121—44no—
992#121—44no—
993#121—44no—
994#121—44no—
995#121—44no—
996#121—48no—
997#121—44no—
998#121—84no—
999#121—84no—
1000#121—82no—
1001#121—84no—
1002#120—216no—
1003#120—216no—
1004#120—48no—
1005#120—48no—
1006#120—48no—
1007#120—48no—
1008#120—84no—
1009C4×Q8—24no—
1010C4×Q8—42no—
1011C4×Q8—44no—
1012C4×Q8—44no—
1013C4×D4—24no—
1014C4×D4—24no—
1015C4×D4—28no—
1016C4×D4—24no—
1017C4×D4—24no—
1018C4×D4—28no—
1019C4×D4—24no—
1020C4×D4—24no—
1021C4×D4—24no—
1022C4×D4—44no—
1023C4×D4—42no—
1024C4×D4—44no—
1025C4×D4—44no—
1026C4×D4—44no—
1027C4×D4—44no—
1028C4×D4—44no—
1029C4×D4—44no—
1030C4×D4—44no—
1031C4×D4—44no—
1032C4×D4—44no—
1033C4×D4—44no—
1034C4×D4—44no—
1035C4×D4—42no—
1036C4×D4—44no—
1037C4×D4—48no—
1038C4×D4—48no—
1039C4×D4—48no—
1040C4×D4—48no—
1041C4×D4—48no—
1042C4×D4—48no—
1043C4×D4—48no—
1044C4×D4—82no—
1045#117—24no—
1046#117—44no—
1047#117—44no—
1048#117—42no—
1049#117—44no—
1050#117#4118yescomplemented
1051C2×C4⋊C4—24no—
1052C2×C4⋊C4—24no—
1053C2×C4⋊C4—44no—
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C22⋊C4—48no—
1101C2×C22⋊C4—48no—
1102C2×C22⋊C4C2411yescharacteristic
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2411yescharacteristic
1109C2×C22⋊C4C2411yescharacteristic
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2411yescharacteristic
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2411yescharacteristic
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2411yescharacteristic
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C42—24no—
1180C2×C42—24no—
1181C2×C42—44no—
1182C2×C42—44no—
1183C2×C42—44no—
1184C2×C42C2411yescharacteristic
1185C2×C42C2411yescharacteristic
1186C2×C42C2412yes—
1187C2×C42C2412yes—
1188C2×C42C2411yescharacteristic
1189C2×C42C2412yes—
1190C2×C42C2412yes—
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194C2×C42C2412yes—
1195C2×C42C2411yescharacteristic
1196C2×C42C2412yes—
1197C2×C42C2411yescharacteristic
1198C2×C42C2411yescharacteristic
1199C2×C42C2411yescharacteristic
1200C2×C42C2412yes—
1201C2×C42C2412yes—
1202C2×C42C2414yes—
1203C2×C42C2411yescharacteristic
1204C2×C42C2412yes—
1205C2×C42C2412yes—
1206C2×C42C2412yes—
1207C2×C42C2412yes—
1208C2×C42C2414yes—
1209C2×C42C2414yes—
1210C2×C42C2412yes—
1211C2×C42C2411yescharacteristic
1212C2×C42C2412yes—
1213C2×C42C2412yes—
1214C2×C42C2411yescharacteristic
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2411yescharacteristic
1223#95C2411yescharacteristic
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2411yescharacteristic
1230#95C2412yes—
1231#95C2411yescharacteristic
1232#95C2412yes—
1233#95C2412yes—
1234#95C2411yescharacteristic
1235#95C2412yes—
1236#95C2411yescharacteristic
1237#95C2412yes—
1238#95C2412yes—
1239#95C2414yes—
1240#95C2412yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2412yes—
1251#95C2414yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2412yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2412yes—
1262#95C2414yes—
1263C24—28no—
1264C24—44no—
1265C24—44no—
1266C24—44no—
1267C24—44no—
1268C24—44no—
1269C24—44no—
1270C24C2514yes—
1271C24C2514yes—
1272C24C2512yes—
1273C24C2512yes—
1274C24C2512yes—
1275C24C2511yescharacteristic
1276C24C2511yescharacteristic
1277#41—416no—
1278#41—816no—
1279#41—816no—
1280#41—816no—
1281#41—816no—
1282C2×Q8—24no—
1283C2×Q8—22no—
1284C2×Q8—22no—
1285C2×Q8—24no—
1286C2×Q8—24no—
1287C2×Q8—24no—
1288C2×Q8—42no—
1289C2×Q8—42no—
1290C2×Q8H(5,𝔽2)14yes—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—24no—
1294C2×D4—24no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—24no—
1298C2×D4—28no—
1299C2×D4—28no—
1300C2×D4—24no—
1301C2×D4—24no—
1302C2×D4—22no—
1303C2×D4—24no—
1304C2×D4—24no—
1305C2×D4—28no—
1306C2×D4—28no—
1307C2×D4—28no—
1308C2×D4—28no—
1309C2×D4—28no—
1310C2×D4—24no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—24no—
1316C2×D4—24no—
1317C2×D4—24no—
1318C2×D4—24no—
1319C2×D4—24no—
1320C2×D4—24no—
1321C2×D4—24no—
1322C2×D4—24no—
1323C2×D4—22no—
1324C2×D4—24no—
1325C2×D4—22no—
1326C2×D4—24no—
1327C2×D4—24no—
1328C2×D4—22no—
1329C2×D4—22no—
1330C2×D4—24no—
1331C2×D4—28no—
1332C2×D4—28no—
1333C2×D4—28no—
1334C2×D4—24no—
1335C2×D4—28no—
1336C2×D4—24no—
1337C2×D4—42no—
1338C2×D4—42no—
1339C2×D4—41no—
1340C2×D4—42no—
1341C2×D4—42no—
1342C2×D4—42no—
1343C2×D4—42no—
1344C2×D4—44no—
1345C2×D4—42no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—44no—
1352C2×D4—42no—
1353C2×D4—42no—
1354C2×D4—42no—
1355C2×D4—42no—
1356C2×D4—42no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—42no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—42no—
1371C2×D4—44no—
1372C2×D4—42no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—42no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—42no—
1382C2×D4—44no—
1383C2×D4—42no—
1384C2×D4—44no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—44no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4—44no—
1402C2×D4—816no—
1403C2×D4—816no—
1404C2×D4—816no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—22no—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—24no—
1411C22×C4—24no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—24no—
1416C22×C4—24no—
1417C22×C4—22no—
1418C22×C4—24no—
1419C22×C4—24no—
1420C22×C4—24no—
1421C22×C4—24no—
1422C22×C4—24no—
1423C22×C4—22no—
1424C22×C4—24no—
1425C22×C4—24no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—24no—
1429C22×C4—24no—
1430C22×C4—22no—
1431C22×C4—28no—
1432C22×C4—28no—
1433C22×C4—24no—
1434C22×C4—24no—
1435C22×C4—42no—
1436C22×C4—41no—
1437C22×C4—42no—
1438C22×C4—42no—
1439C22×C4—42no—
1440C22×C4—42no—
1441C22×C4—42no—
1442C22×C4—44no—
1443C22×C4—44no—
1444C22×C4—44no—
1445C22×C4—44no—
1446C22×C4—44no—
1447C22×C4—44no—
1448C22×C4—44no—
1449C22×C4—42no—
1450C22×C4—42no—
1451C22×C4—41no—
1452C22×C4—42no—
1453C22×C4—42no—
1454C22×C4—41no—
1455C22×C4—42no—
1456C22×C4—42no—
1457C22×C4—44no—
1458C22×C4—44no—
1459C22×C4—44no—
1460C22×C4—44no—
1461C22×C4—44no—
1462C22×C4—44no—
1463C22×C4C2×#4114yes—
1464C22×C4H(5,𝔽2)14yes—
1465C22×C4C2511yescharacteristic
1466C22×C4C2512yes—
1467C22×C4C2512yes—
1468C22×C4C2511yescharacteristic
1469C22×C4C2512yes—
1470C22×C4C2511yescharacteristic
1471C22×C4C2511yescharacteristic
1472C22×C4C2512yes—
1473C22×C4C2512yes—
1474C22×C4C2512yes—
1475C22×C4C2512yes—
1476C22×C4C2512yes—
1477C22×C4C2511yescharacteristic
1478C22×C4C2514yes—
1479C22×C4C2511yescharacteristic
1480C22×C4C2512yes—
1481C22×C4C2514yes—
1482C22×C4C2511yescharacteristic
1483C22×C4C2511yescharacteristic
1484C22×C4C2512yes—
1485C22×C4C2512yes—
1486C22×C4C2511yescharacteristic
1487C22×C4C2512yes—
1488C22×C4C2511yescharacteristic
1489C22×C4C2512yes—
1490C22×C4C2511yescharacteristic
1491C22×C4C2511yescharacteristic
1492C22×C4C2511yescharacteristic
1493C4⋊C4—22no—
1494C4⋊C4—24no—
1495C4⋊C4—24no—
1496C4⋊C4—22no—
1497C4⋊C4—24no—
1498C4⋊C4—22no—
1499C4⋊C4—24no—
1500C4⋊C4—22no—
1501C4⋊C4—24no—
1502C4⋊C4—22no—
1503C4⋊C4—22no—
1504C4⋊C4—24no—
1505C4⋊C4—22no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—22no—
1509C4⋊C4—22no—
1510C4⋊C4—22no—
1511C4⋊C4—28no—
1512C4⋊C4—28no—
1513C4⋊C4—24no—
1514C4⋊C4—28no—
1515C4⋊C4—24no—
1516C4⋊C4—22no—
1517C4⋊C4—24no—
1518C4⋊C4—28no—
1519C4⋊C4—22no—
1520C4⋊C4—24no—
1521C4⋊C4—44no—
1522C4⋊C4—42no—
1523C4⋊C4—42no—
1524C4⋊C4—42no—
1525C4⋊C4—42no—
1526C4⋊C4—42no—
1527C4⋊C4—42no—
1528C4⋊C4—42no—
1529C4⋊C4—42no—
1530C4⋊C4—44no—
1531C4⋊C4—44no—
1532C4⋊C4—44no—
1533C4⋊C4—44no—
1534C4⋊C4—44no—
1535C4⋊C4—42no—
1536C4⋊C4C2×#4114yes—
1537C4⋊C4C2×#4114yes—
1538C4⋊C4H(5,𝔽2)14yes—
1539C22⋊C4—22no—
1540C22⋊C4—22no—
1541C22⋊C4—24no—
1542C22⋊C4—22no—
1543C22⋊C4—24no—
1544C22⋊C4—24no—
1545C22⋊C4—28no—
1546C22⋊C4—28no—
1547C22⋊C4—28no—
1548C22⋊C4—28no—
1549C22⋊C4—24no—
1550C22⋊C4—22no—
1551C22⋊C4—24no—
1552C22⋊C4—28no—
1553C22⋊C4—28no—
1554C22⋊C4—24no—
1555C22⋊C4—24no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—24no—
1560C22⋊C4—24no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—28no—
1564C22⋊C4—28no—
1565C22⋊C4—28no—
1566C22⋊C4—22no—
1567C22⋊C4—24no—
1568C22⋊C4—42no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4—42no—
1575C22⋊C4—42no—
1576C22⋊C4—44no—
1577C22⋊C4—41no—
1578C22⋊C4—42no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—42no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—42no—
1589C22⋊C4—42no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—42no—
1596C22⋊C4—44no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C22⋊C4—44no—
1600C22⋊C4—42no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—42no—
1608C22⋊C4—42no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—42no—
1612C22⋊C4—42no—
1613C22⋊C4—42no—
1614C22⋊C4—42no—
1615C22⋊C4C2×#4118yes—
1616C42—22no—
1617C42—22no—
1618C42—22no—
1619C42—22no—
1620C42—22no—
1621C42—22no—
1622C42—22no—
1623C42—22no—
1624C42—24no—
1625C42—24no—
1626C42—24no—
1627C42—24no—
1628C42—22no—
1629C42—24no—
1630C42—22no—
1631C42—24no—
1632C42—24no—
1633C42—42no—
1634C42—42no—
1635C42—42no—
1636C42—42no—
1637C42—42no—
1638C42—42no—
1639C42—44no—
1640C42—41no—
1641C42—44no—
1642C42—44no—
1643C42—41no—
1644C42—42no—
1645C42C2×#4118yes—
1646C42H(5,𝔽2)14yes—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—21no—
1654C23—21no—
1655C23—21no—
1656C23—21no—
1657C23—21no—
1658C23—21no—
1659C23—22no—
1660C23—24no—
1661C23—24no—
1662C23—22no—
1663C23—22no—
1664C23—24no—
1665C23—22no—
1666C23—24no—
1667C23—22no—
1668C23—22no—
1669C23—22no—
1670C23—24no—
1671C23—24no—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23—22no—
1676C23—24no—
1677C23—22no—
1678C23—24no—
1679C23—22no—
1680C23—22no—
1681C23—24no—
1682C23—22no—
1683C23—24no—
1684C23—22no—
1685C23—22no—
1686C23—22no—
1687C23—24no—
1688C23—24no—
1689C23—22no—
1690C23—24no—
1691C23—24no—
1692C23—22no—
1693C23—22no—
1694C23—88no—
1695C23—88no—
1696C23—88no—
1697C23—88no—
1698C23—88no—
1699C23—164no—
1700C23—164no—
1701C23C22×#4112yes—
1702C23C2×H(5,𝔽2)12yes—
1703C23C2611yescharacteristic
1704Q8—28no—
1705Q8—48no—
1706Q8—84no—
1707D4—48no—
1708D4—48no—
1709D4—48no—
1710D4—44no—
1711D4—44no—
1712D4—48no—
1713D4—48no—
1714D4—48no—
1715D4—48no—
1716D4—44no—
1717D4—44no—
1718D4—88no—
1719D4—88no—
1720D4—88no—
1721D4—88no—
1722D4—88no—
1723D4—88no—
1724D4—84no—
1725D4—88no—
1726D4—84no—
1727D4—88no—
1728D4—88no—
1729D4—84no—
1730D4—84no—
1731D4—88no—
1732D4—84no—
1733D4—88no—
1734D4—84no—
1735D4—84no—
1736D4—88no—
1737D4—88no—
1738D4—164no—
1739D4—164no—
1740D4—164no—
1741D4—164no—
1742D4—164no—
1743D4—164no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—21no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—22no—
1759C2×C4—21no—
1760C2×C4—28no—
1761C2×C4—28no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—21no—
1767C2×C4—22no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—24no—
1790C2×C4—24no—
1791C2×C4—24no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—24no—
1800C2×C4—24no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—22no—
1805C2×C4—21no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—21no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—24no—
1816C2×C4—44no—
1817C2×C4—48no—
1818C2×C4—44no—
1819C2×C4—48no—
1820C2×C4—48no—
1821C2×C4—44no—
1822C2×C4—48no—
1823C2×C4—84no—
1824C2×C4—84no—
1825C2×C4—84no—
1826C2×C4—84no—
1827C2×C4—82no—
1828C2×C4—88no—
1829C2×C4—88no—
1830C2×C4—84no—
1831C2×C4—88no—
1832C2×C4—164no—
1833C2×C4—164no—
1834C2×C4C22×#4112yes—
1835C2×C4C22×#4114yes—
1836C2×C4C22×#4114yes—
1837C2×C4C22×#4112yes—
1838C2×C4C2×H(5,𝔽2)12yes—
1839C2×C4C2×H(5,𝔽2)14yes—
1840C2×C4C2×H(5,𝔽2)12yes—
1841C2×C4C2×H(5,𝔽2)14yes—
1842C2×C4C2×H(5,𝔽2)12yes—
1843C2×C4C2×H(5,𝔽2)12yes—
1844C2×C4C2×H(5,𝔽2)12yes—
1845C2×C4C2×H(5,𝔽2)12yes—
1846C2×C4C2×H(5,𝔽2)12yes—
1847C2×C4#58512yes—
1848C22—22no—
1849C22—22no—
1850C22—22no—
1851C22—22no—
1852C22—22no—
1853C22—22no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—42no—
1863C22—42no—
1864C22—42no—
1865C22—44no—
1866C22—44no—
1867C22—42no—
1868C22—42no—
1869C22—42no—
1870C22—44no—
1871C22—44no—
1872C22—42no—
1873C22—44no—
1874C22—42no—
1875C22—42no—
1876C22—44no—
1877C22—42no—
1878C22—42no—
1879C22—44no—
1880C22—44no—
1881C22—42no—
1882C22—42no—
1883C22—42no—
1884C22—42no—
1885C22—44no—
1886C22—44no—
1887C22—44no—
1888C22—42no—
1889C22—44no—
1890C22—42no—
1891C22—42no—
1892C22—42no—
1893C22—44no—
1894C22—44no—
1895C22—42no—
1896C22—42no—
1897C22—1616no—
1898C22C23×#4111yescharacteristic
1899C22C22×H(5,𝔽2)11yescharacteristic
1900C22C22×H(5,𝔽2)11yescharacteristic
1901C22C22×H(5,𝔽2)11yescharacteristic
1902C22C22×H(5,𝔽2)11yescharacteristic
1903C22C2×#58511yescharacteristic
1904C22H(7,𝔽2)11yescharacteristic
1905C4—22no—
1906C4—24no—
1907C4—24no—
1908C4—24no—
1909C4—22no—
1910C4—24no—
1911C4—22no—
1912C4—22no—
1913C4—42no—
1914C4—41no—
1915C4—44no—
1916C4—41no—
1917C4—42no—
1918C4—41no—
1919C4—42no—
1920C4—42no—
1921C4—41no—
1922C4—42no—
1923C4—42no—
1924C4—41no—
1925C4—41no—
1926C4—44no—
1927C4—42no—
1928C4—42no—
1929C4—41no—
1930C4—42no—
1931C4#350814yes—
1932C4#353714yes—
1933C2—42no—
1934C2—42no—
1935C2—82no—
1936C2—82no—
1937C2—82no—
1938C2—84no—
1939C2—84no—
1940C2C2×#353711yescharacteristic
1941C2C2×#350811yescharacteristic
1942C2#6280011yescharacteristic
1943C2#6291611yescharacteristic
1944C2#6292411yescharacteristic
1945C2#6298611yescharacteristic
1946C2#6301411yescharacteristic
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. #59646C2semidirect
2. #59632C2semidirect
3. #59129C2semidirect
4. #59124C2semidirect
5. #59051C2semidirect
6. #50746C2semidirect
7. #50715C2semidirect
8. #46010C2semidirect
9. #45647C2semidirect
10. #45105C2semidirect
11. #45036C2semidirect
12. #43476C2semidirect
13. #42986C2semidirect
14. #42608C2semidirect
15. #41021C2semidirect
16. #40126C2semidirect
17. #39957C2semidirect
18. #39888C2semidirect
19. #39790C2semidirect
20. #39471C2semidirect
21. #39434C2semidirect
22. #39202C2semidirect
23. #36596C2semidirect
24. #36481C2semidirect
25. #36455C2semidirect
26. #36128C2semidirect
27. #36125C2semidirect
28. #36121C2semidirect
29. #35274C2semidirect
30. #35171C2semidirect
31. #35044C2semidirect
32. #34937C2semidirect
33. #34715C2semidirect
34. #34411C2semidirect
35. C4×#553C2semidirect
37. C2×#553C22semidirect
39. C2×#550C22semidirect
40. C2×#550C22semidirect
41. C2×#547C22semidirect
44. C2×#540C22semidirect
49. C2×#532C22semidirect
50. C2×#532C22semidirect
52. C2×C4×#41C22semidirect
54. #2863C22semidirect
59. #2856C22semidirect
60. #2856C22semidirect
61. #2856C22semidirect
62. #2854C22semidirect
63. #2850C22semidirect
64. #2829C22semidirect
65. #2818C22semidirect
66. #2803C22semidirect
67. #2803C22semidirect
68. #2797C22semidirect
69. #2780C22semidirect
70. #2752C22semidirect
71. #2752C22semidirect
72. #2715C22semidirect
73. #2714C22semidirect
74. #2710C22semidirect
75. #2710C22semidirect
76. #2709C22semidirect
77. #2709C22semidirect
78. #2709C22semidirect
80. #2699C22semidirect
81. #2699C22semidirect
83. #2682C22semidirect
88. #2673C22semidirect
89. #2673C22semidirect
90. #2673C22semidirect
91. #2673C22semidirect
92. #2673C22semidirect
93. #2671C22semidirect
94. #2671C22semidirect
99. #2662C22semidirect
100. #2661C22semidirect
101. #2661C22semidirect
103. #2648C22semidirect
104. #2631C22semidirect
105. #2630C22semidirect
106. #2624C22semidirect
108. #2606C22semidirect
109. #2602C22semidirect
110. #2602C22semidirect
111. #2602C22semidirect
112. #2597C22semidirect
113. #2597C22semidirect
114. #2557C22semidirect
115. #2554C22semidirect
116. #2554C22semidirect
117. #2552C22semidirect
119. #2548C22semidirect
120. #2548C22semidirect
121. #2547C22semidirect
122. #2546C22semidirect
123. #2545C22semidirect
125. #2544C22semidirect
126. #2544C22semidirect
127. #2543C22semidirect
128. #2543C22semidirect
137. #2541C22semidirect
138. #2541C22semidirect
139. #2541C22semidirect
140. #2541C22semidirect
143. #2537C22semidirect
144. #2537C22semidirect
147. #2513C22semidirect
148. #2512C22semidirect
149. #2507C22semidirect
150. #2500C22semidirect
151. #2492C22semidirect
152. #2490C22semidirect
153. #2490C22semidirect
154. #2490C22semidirect
155. #2490C22semidirect
156. #2487C22semidirect
158. #2474C22semidirect
159. #2464C22semidirect
160. #2464C22semidirect
161. #2464C22semidirect
162. #2464C22semidirect
163. #2459C22semidirect
164. #2459C22semidirect
166. #2456C22semidirect
167. #2456C22semidirect
168. #2455C22semidirect
169. #2451C22semidirect
170. #2448C22semidirect
171. #2447C22semidirect
175. #2445C22semidirect
176. #2445C22semidirect
177. #2445C22semidirect
179. #2439C22semidirect
185. #2432C22semidirect
188. #2431C22semidirect
189. #2431C22semidirect
190. #2431C22semidirect
191. #2431C22semidirect
196. #2428C22semidirect
197. #2428C22semidirect
198. #2428C22semidirect
199. #2428C22semidirect
200. #2428C22semidirect
201. #2428C22semidirect
202. #2428C22semidirect
203. #2428C22semidirect
204. #2428C22semidirect
205. #2428C22semidirect
206. #2428C22semidirect
207. #2428C22semidirect
209. #2426C22semidirect
213. #2422C22semidirect
214. #2422C22semidirect
216. #2420C22semidirect
217. #2416C22semidirect
218. #2416C22semidirect
219. #2416C22semidirect
220. #2416C22semidirect
222. #2414C22semidirect
223. #2414C22semidirect
224. #2414C22semidirect
231. #2407C22semidirect
232. #2392C22semidirect
233. #2392C22semidirect
235. #2380C22semidirect
238. #2373C22semidirect
239. #2370C22semidirect
240. #2370C22semidirect
241. #2367C22semidirect
243. #2366C22semidirect
244. #2366C22semidirect
245. #2365C22semidirect
248. #2363C22semidirect
249. #2363C22semidirect
250. #2361C22semidirect
251. #2361C22semidirect
252. #2361C22semidirect
253. #2361C22semidirect
255. #2357C22semidirect
256. #2354C22semidirect
257. #2353C22semidirect
259. Q8×C4⋊C4C22semidirect
262. #2345C22semidirect
263. #2341C22semidirect
267. #2337C22semidirect
268. #2337C22semidirect
269. #2333C22semidirect
270. #2324C22semidirect
271. #2324C22semidirect
275. C4×C4⋊Q8C22semidirect
277. C4×#125C22semidirect
278. C4×#126C22semidirect
279. C4×#124C22semidirect
282. C4×#123C22semidirect
285. C4×#121C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
292. #2297C22semidirect
293. #2293C22semidirect
295. C42×D4C22semidirect
296. C42×D4C22semidirect
298. C2×C4×C4⋊C4C22semidirect
1050. #117#41semidirect

Maximal subgroups

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

subgroupindex
#596462
#596322
#591292
#591242
#590512
#507462
#507152
#460102
#456472
#451052
#450362
#434762
#429862
#426082
#410212
#401262
#399572
#398882
#397902
#394712
#394342
#392022
#365962
#364812
#364552
#361282
#361252
#361212
#352742
#351712
#350442
#349372
#347152
#344112
C4×#5532