Finite Group Databasebeta

← #7710498

Subgroups — #7710498

Order 512.

6144 conjugacy classes of subgroups.

The subgroup lattice has 1913 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59680C211yesmaximal, characteristic, complemented
2#59679C211yesmaximal, characteristic, complemented
3#59412C211yesmaximal, characteristic, complemented
4#59411C211yesmaximal, characteristic, complemented
5#59099C212yesmaximal, complemented
6#59097C212yesmaximal, complemented
7#45824C214yesmaximal, complemented
8#45655C212yesmaximal, complemented
9#45608C212yesmaximal, complemented
10#39876C212yesmaximal, complemented
11#39852C212yesmaximal, complemented
12#39790C212yesmaximal, complemented
13#39745C211yesmaximal, characteristic, complemented
14#39633C211yesmaximal, characteristic, complemented
15#39505C211yesmaximal, characteristic, complemented
16#39405C212yesmaximal, complemented
17#39361C211yesmaximal, characteristic, complemented
18#38852C214yesmaximal, complemented
19#37898C212yesmaximal, complemented
20#37808C214yesmaximal, complemented
21#37681C212yesmaximal, complemented
22#37587C212yesmaximal, complemented
23#36909C214yesmaximal, complemented
24#36644C211yesmaximal, characteristic, complemented
25#36638C211yesmaximal, characteristic, complemented
26#36498C212yesmaximal, complemented
27#36493C211yesmaximal, characteristic, complemented
28#36455C211yesmaximal, characteristic, complemented
29#36410C211yesmaximal, characteristic, complemented
30#36362C212yesmaximal, complemented
31#36258C211yesmaximal, characteristic, complemented
32#35044C212yesmaximal, complemented
33#35007C212yesmaximal, complemented
34#34438C212yesmaximal, complemented
35C4×#532C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic, complemented
37C2×#553C2212yescomplemented
38C2×#550C2211yescharacteristic
39C2×#550C2211yescharacteristic
40C2×#550C2212yescomplemented
41C2×#546C2212yes—
42C2×#546C2212yes—
43C2×D42C2211yescharacteristic
44C2×#538C2214yescomplemented
45C2×#535C2212yes—
46C2×#532C2211yescharacteristic
47C2×#532C2212yescomplemented
48C2×#532C2212yescomplemented
49C2×#532C2212yescomplemented
50C2×C4×#41C2211yescharacteristic
51C2×C4×#41C2211yescharacteristic, complemented
52#2868C2211yescharacteristic, complemented
53#2867C2211yescharacteristic
54#2866C2212yescomplemented
55#2865C2212yescomplemented
56#2864C2211yescharacteristic, complemented
57#2863C2211yescharacteristic, complemented
58#2861C2211yescharacteristic
59#2860C2211yescharacteristic
60#2858C2212yescomplemented
61#2858C2212yescomplemented
62#2858C2212yescomplemented
63#2856C2212yes—
64#2856C2211yescharacteristic
65#2856C2212yescomplemented
66#2856C2212yescomplemented
67#2856C2212yescomplemented
68#2856C2211yescharacteristic, complemented
69#2855C2211yescharacteristic, complemented
70#2854C2211yescharacteristic
71#2854C2212yes—
72#2854C2212yescomplemented
73#2853C2212yescomplemented
74#2852C2212yescomplemented
75#2851C2211yescharacteristic, complemented
76#2850C2211yescharacteristic
77#2850C2212yescomplemented
78#2829C2214yescomplemented
79#2828C2214yescomplemented
80#2803C2214yescomplemented
81#2800C2214yescomplemented
82#2795C2214yescomplemented
83#2790C2214yescomplemented
84#2780C2214yescomplemented
85#2731C2214yescomplemented
86#2729C2214yescomplemented
87#2715C2214yescomplemented
88#2714C2214yescomplemented
89#2714C2214yescomplemented
90#2710C2214yescomplemented
91#2703C2214yescomplemented
92#2703C2214yescomplemented
93#2701C2214yescomplemented
94#2699C2214yescomplemented
95#2691C2214yescomplemented
96#2691C2214yescomplemented
97#2688C2214yescomplemented
98#2678C2214yes—
99#2678C2214yescomplemented
100#2678C2214yescomplemented
101#2676C2214yescomplemented
102#2675C2214yescomplemented
103#2675C2214yescomplemented
104#2673C2214yescomplemented
105#2673C2214yescomplemented
106#2673C2214yescomplemented
107#2670C2214yescomplemented
108#2669C2214yes—
109#2669C2214yes—
110#2669C2214yescomplemented
111#2669C2214yescomplemented
112#2662C2214yescomplemented
113#2661C2214yescomplemented
114#2657C2212yescomplemented
115#2648C2214yescomplemented
116#2647C2212yescomplemented
117#2635C2214yescomplemented
118#2631C2214yescomplemented
119#2630C2214yescomplemented
120#2620C2212yescomplemented
121#2619C2212yes—
122#2597C2214yescomplemented
123#2597C2214yescomplemented
124#2597C2214yescomplemented
125#2582C2211yescharacteristic, complemented
126#2566C2212yescomplemented
127#2557C2214yescomplemented
128#2555C2214yescomplemented
129#2554C2214yescomplemented
130#2554C2214yescomplemented
131#2554C2214yescomplemented
132#2548C2211yescharacteristic
133#2548C2211yescharacteristic
134#2545C2212yescomplemented
135#2544C2212yes—
136#2544C2212yescomplemented
137#2541C2212yes—
138#2541C2211yescharacteristic
139#2541C2212yes—
140#2541C2211yescharacteristic, complemented
141#2541C2212yescomplemented
142#2540C2212yescomplemented
143#2538C2211yescharacteristic
144#2538C2211yescharacteristic
145#2537C2211yescharacteristic
146#2537C2212yescomplemented
147#2535C2212yes—
148#2535C2212yescomplemented
149#2535C2212yescomplemented
150#2513C2212yescomplemented
151#2512C2212yescomplemented
152#2512C2212yescomplemented
153#2512C2212yescomplemented
154#2502C2212yescomplemented
155#2500C2212yes—
156#2497C2212yescomplemented
157#2497C2212yescomplemented
158#2492C2212yescomplemented
159#2492C2212yescomplemented
160#2491C2212yes—
161#2491C2212yescomplemented
162#2476C2214yescomplemented
163#2472C2214yescomplemented
164#2471C2214yescomplemented
165#2466C2214yescomplemented
166#2464C2214yescomplemented
167#2464C2214yescomplemented
168#2464C2214yescomplemented
169#2459C2214yescomplemented
170#2457C2214yescomplemented
171#2457C2214yescomplemented
172#2456C2214yescomplemented
173#2456C2214yescomplemented
174#2456C2214yescomplemented
175#2456C2214yescomplemented
176#2456C2214yescomplemented
177#2452C2212yes—
178#2451C2212yescomplemented
179#2448C2212yescomplemented
180#2447C2212yescomplemented
181#2447C2212yescomplemented
182#2445C2212yes—
183#2445C2212yescomplemented
184#2445C2212yescomplemented
185#2440C2212yescomplemented
186#2439C2212yescomplemented
187#2433C2212yes—
188#2433C2212yes—
189#2433C2212yes—
190#2433C2212yes—
191#2432C2212yescomplemented
192#2431C2212yes—
193#2431C2212yes—
194#2431C2212yescomplemented
195#2431C2212yescomplemented
196#2431C2212yescomplemented
197#2431C2214yescomplemented
198#2430C2214yescomplemented
199#2428C2212yes—
200#2428C2212yes—
201#2428C2212yes—
202#2428C2214yescomplemented
203#2428C2212yescomplemented
204#2428C2212yescomplemented
205#2428C2212yescomplemented
206#2427C2212yescomplemented
207#2426C2212yes—
208#2425C2214yescomplemented
209#2424C2214yes—
210#2424C2214yes—
211#2424C2214yescomplemented
212#2424C2214yescomplemented
213#2424C2214yescomplemented
214#2422C2212yes—
215#2422C2212yescomplemented
216#2416C2212yes—
217#2416C2212yescomplemented
218#2414C2212yes—
219#2414C2214yescomplemented
220#2414C2212yescomplemented
221#2414C2212yescomplemented
222#2414C2212yescomplemented
223#2411C2214yes—
224#2408C2212yes—
225#2408C2212yes—
226#2407C2212yes—
227#2407C2212yescomplemented
228#2407C2214yescomplemented
229#2404C2214yescomplemented
230#2377C2214yescomplemented
231#2375C2214yescomplemented
232#2367C2212yescomplemented
233#2367C2212yescomplemented
234#2366C2212yes—
235#2366C2212yes—
236#2364C2214yescomplemented
237#2364C2214yescomplemented
238#2363C2212yescomplemented
239#2363C2212yescomplemented
240#2358C2214yescomplemented
241#2358C2214yescomplemented
242#2357C2212yescomplemented
243#2355C2211yescharacteristic, complemented
244#2354C2211yescharacteristic, complemented
245Q8×C4⋊C4C2211yescharacteristic, complemented
246#2349C2212yescomplemented
247D4×C4⋊C4C2211yescharacteristic
248#2341C2212yescomplemented
249#2339C2212yescomplemented
250D4×C22⋊C4C2212yes—
251D4×C22⋊C4C2212yes—
252#2337C2214yescomplemented
253#2333C2214yescomplemented
254#2328C2212yescomplemented
255#2326C2212yes—
256#2325C2214yescomplemented
257#2321C2214yescomplemented
258#2321C2214yescomplemented
259#2314C2212yescomplemented
260C4×C4⋊Q8C2211yescharacteristic, complemented
261C4×C4⋊Q8C2211yescharacteristic, complemented
262C4×#127C2211yescharacteristic
263C4×#127C2211yescharacteristic
264C4×#127C2211yescharacteristic
265C4×#127C2212yescomplemented
266C4×#127C2211yescharacteristic, complemented
267C4×#127C2212yescomplemented
268C4×#127C2212yescomplemented
269C4×#125C2211yescharacteristic, complemented
270C4×#126C2212yescomplemented
271C4×#124C2211yescharacteristic
272C4×#124C2211yescharacteristic
273C4×#124C2211yescharacteristic
274C4×#124C2211yescharacteristic, complemented
275C4×#124C2211yescharacteristic, complemented
276C4×C22⋊Q8C2211yescharacteristic, complemented
277C4×#123C2212yescomplemented
278C4×#121C2211yescharacteristic
279C4×#121C2212yescomplemented
280C4×#121C2212yescomplemented
281C4×#121C2212yescomplemented
282C4×#121C2212yescomplemented
283C4×#121C2212yescomplemented
284C4×#121C2212yescomplemented
285#2298C2212yescomplemented
286#2297C2211yescharacteristic
287#2297C2212yescomplemented
288#2297C2211yescharacteristic, complemented
289#2295C2211yescharacteristic, complemented
290#2293C2211yescharacteristic
291#2293C2212yescomplemented
292#2293C2212yescomplemented
293C2×#390C2212yes—
294#2290C2212yescomplemented
295#2285C2211yescharacteristic, complemented
296C42×D4C2212yescomplemented
297C42×D4C2212yescomplemented
298C2×C43C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302C22×#41C2314yes—
303C22×#41C2312yes—
304C23×D4C2312yes—
305C23×D4C2312yes—
306#559—44no—
307#553—48no—
308#550—44no—
309#550—44no—
310#550—48no—
311#546—48no—
312#546—48no—
313D42—44no—
314#538—416no—
315#535—216no—
316#532—28no—
317#532—48no—
318#532—48no—
319#532—48no—
320C2×C4⋊Q8C2311yescharacteristic
321C2×C4⋊Q8C2312yes—
322C2×C4⋊Q8C2312yes—
323C2×C4⋊Q8C2312yes—
324C2×#127C2311yescharacteristic
325C2×#127C2311yescharacteristic
326C2×#127C2312yes—
327C2×#127C2311yescharacteristic
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2312yes—
331C2×#127C2312yes—
332C2×#127C2312yes—
333C2×#127C2312yes—
334C2×#127C2312yes—
335C2×#127C2312yes—
336C2×#127C2312yes—
337C2×#127C2314yes—
338C2×#126C2312yes—
339C2×#126C2314yes—
340C2×#126C2314yes—
341C2×#125C2311yescharacteristic
342C2×#124C2314yes—
343C2×#124C2311yescharacteristic
344C2×#124C2311yescharacteristic
345C2×#124C2312yes—
346C2×#124C2312yes—
347C2×#124C2314yes—
348C2×#124C2314yes—
349C2×#124C2312yes—
350C2×#124C2312yes—
351C2×#124C2314yes—
352C2×#124C2311yescharacteristic
353C2×#123C2312yes—
354C2×#123C2314yes—
355C2×#123C2314yes—
356C2×#123C2314yes—
357C2×#123C2314yes—
358C2×#123C2314yes—
359C2×#123C2314yes—
360C2×C22⋊Q8C2311yescharacteristic
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2314yes—
364C2×#121C2314yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2311yescharacteristic
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2314yes—
377C2×#121C2312yes—
378C2×#121C2314yes—
379C2×#121C2312yes—
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2314yes—
388C2×#121C2312yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×#121C2312yes—
393C2×#121C2314yes—
394C2×#121C2312yes—
395C2×#121C2314yes—
396C2×#121C2314yes—
397C2×#121C2314yes—
398C2×#121C2314yes—
399C2×#120C2314yes—
400C2×#120C2314yes—
401C2×#120C2314yes—
402C2×#120C2314yes—
403C2×#120C2314yes—
404C2×#120C2314yes—
405C2×#120C2314yes—
406C2×#120C2314yes—
407C4×#41—44no—
408C4×#41—44no—
409C2×C4×Q8C2311yescharacteristic
410C2×C4×Q8C2311yescharacteristic
411C2×C4×Q8C2311yescharacteristic
412C2×C4×Q8C2311yescharacteristic
413C2×C4×Q8C2311yescharacteristic
414C2×C4×Q8C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2311yescharacteristic
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2311yescharacteristic
428C2×C4×D4C2311yescharacteristic
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2314yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2314yes—
434C2×C4×D4C2314yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2314yes—
437C2×C4×D4C2314yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2314yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×#117C2312yes—
449C2×#117C2312yes—
450C2×#117C2311yescharacteristic
451C2×#117C2311yescharacteristic
452C2×#117C2312yes—
453C2×#117C2312yes—
454C22×C4⋊C4C2312yes—
455C22×C22⋊C4C2314yes—
456C22×C22⋊C4C2314yes—
457C22×C22⋊C4C2314yes—
458C22×C42C2311yescharacteristic
459C22×C42C2311yescharacteristic
460C22×C42C2311yescharacteristic
461C22×C42C2311yescharacteristic
462C22×C42C2311yescharacteristic
463C22×C42C2312yes—
464C22×C42C2311yescharacteristic
465C22×C42C2311yescharacteristic
466C22×C42C2312yes—
467#400C2314yes—
468#400C2314yes—
469#400C2314yes—
470#399C2314yes—
471#398C2314yes—
472#398C2314yes—
473#398C2314yes—
474#398C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#395C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
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#394C2314yes—
518#393C2314yes—
519#393C2314yes—
520#393C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#391C2311yescharacteristic
548#391C2311yescharacteristic
549#391C2311yescharacteristic
550#391C2311yescharacteristic
551#391C2312yes—
552#391C2312yes—
553#391C2314yes—
554#391C2314yes—
555#391C2311yescharacteristic
556#391C2311yescharacteristic
557#391C2311yescharacteristic
558#391C2311yescharacteristic
559#391C2312yes—
560#390C2311yescharacteristic
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2311yescharacteristic
569#390C2311yescharacteristic
570#390C2311yescharacteristic
571#390C2314yes—
572#390C2314yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2314yes—
577#390C2314yes—
578#390C2314yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2314yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2314yes—
589#390C2314yes—
590#390C2314yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2314yes—
595#390C2311yescharacteristic
596#390C2311yescharacteristic
597#390C2311yescharacteristic
598#390C2312yes—
599#390C2312yes—
600#390C2311yescharacteristic
601#390C2314yes—
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2314yes—
606#390C2314yes—
607#390C2314yes—
608#390C2312yes—
609#390C2314yes—
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2311yescharacteristic
619#389C2311yescharacteristic
620#389C2311yescharacteristic
621#389C2312yes—
622#389C2311yescharacteristic
623#389C2311yescharacteristic
624#389C2311yescharacteristic
625#389C2312yes—
626#389C2312yes—
627#389C2314yes—
628#389C2312yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2314yes—
633#388C2314yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2312yes—
664#388C2312yes—
665#388C2312yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2312yes—
670#388C2312yes—
671#388C2312yes—
672#388C2312yes—
673#388C2312yes—
674#388C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2314yes—
681#387C2314yes—
682#387C2312yes—
683#387C2312yes—
684#387C2312yes—
685#387C2312yes—
686#387C2312yes—
687#387C2312yes—
688#387C2312yes—
689#387C2314yes—
690#387C2312yes—
691#387C2312yes—
692#387C2312yes—
693#387C2312yes—
694#387C2314yes—
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#386C2312yes—
712#386C2312yes—
713#386C2314yes—
714#386C2312yes—
715#386C2312yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#386C2314yes—
730#386C2314yes—
731#386C2312yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2312yes—
740#385C2312yes—
741#385C2312yes—
742#385C2312yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#384C2311yescharacteristic
748#384C2311yescharacteristic
749#384C2311yescharacteristic
750#384C2312yes—
751#384C2311yescharacteristic
752#384C2312yes—
753#384C2312yes—
754#384C2312yes—
755#383C2312yes—
756#382C2311yescharacteristic
757#382C2312yes—
758#382C2311yescharacteristic
759#382C2311yescharacteristic
760#382C2311yescharacteristic
761#381C2314yes—
762#381C2312yes—
763#381C2314yes—
764#380C2312yes—
765#380C2312yes—
766#380C2314yes—
767#380C2311yescharacteristic
768#380C2311yescharacteristic
769#380C2312yes—
770#380C2312yes—
771#380C2314yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#379C2314yes—
777#379C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816#376C2312yes—
817C2×#95C2314yes—
818C43C2311yescharacteristic
819C43C2311yescharacteristic
820C43C2311yescharacteristic
821C43C2311yescharacteristic
822C43C2311yescharacteristic
823C43C2311yescharacteristic
824C43C2311yescharacteristic
825C43C2311yescharacteristic
826C25C2414yes—
827C2×#41—24no—
828C2×#41—28no—
829C2×#41—24no—
830C2×#41—24no—
831C2×#41—24no—
832C2×#41—48no—
833C2×#41—48no—
834C2×#41—42no—
835C2×#41—42no—
836C2×#41—48no—
837C2×#41—44no—
838C2×#41—44no—
839C2×#41—44no—
840C2×#41—44no—
841C2×#41—44no—
842C22×Q8C2411yescharacteristic
843C22×Q8C2411yescharacteristic
844C22×Q8C2411yescharacteristic
845C22×Q8C2414yes—
846C22×D4—28no—
847C22×D4—44no—
848C22×D4—44no—
849C22×D4—44no—
850C22×D4—44no—
851C22×D4—44no—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2411yescharacteristic
855C22×D4C2412yes—
856C22×D4C2411yescharacteristic
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2411yescharacteristic
863C22×D4C2412yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2412yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2412yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2414yes—
876C22×D4C2414yes—
877C22×D4C2414yes—
878C22×D4C2414yes—
879C22×D4C2414yes—
880C22×D4C2414yes—
881C22×D4C2414yes—
882C22×D4C2414yes—
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2411yescharacteristic
887C23×C4C2411yescharacteristic
888C23×C4C2412yes—
889C23×C4C2412yes—
890C23×C4C2411yescharacteristic
891C23×C4C2411yescharacteristic
892C23×C4C2411yescharacteristic
893C23×C4C2411yescharacteristic
894C23×C4C2411yescharacteristic
895C23×C4C2412yes—
896C23×C4C2414yes—
897C23×C4C2414yes—
898C23×C4C2412yes—
899C23×C4C2414yes—
900C23×C4C2414yes—
901C23×C4C2414yes—
902C23×C4C2414yes—
903C4⋊Q8—24no—
904C4⋊Q8—44no—
905C4⋊Q8—44no—
906C4⋊Q8—44no—
907#127—24no—
908#127—28no—
909#127—28no—
910#127—24no—
911#127—24no—
912#127—44no—
913#127—44no—
914#127—44no—
915#127—44no—
916#127—44no—
917#127—44no—
918#127—44no—
919#127—44no—
920#127—48no—
921#126—28no—
922#126—48no—
923#126—48no—
924#125—24no—
925#124—28no—
926#124—24no—
927#124—216no—
928#124—24no—
929#124—48no—
930#124—48no—
931#124—44no—
932#124—44no—
933#124—44no—
934#124—48no—
935#124#4118yescomplemented
936#123—48no—
937#123—48no—
938#123—44no—
939#123—48no—
940#123—48no—
941#123—48no—
942#123—48no—
943C22⋊Q8—48no—
944C22⋊Q8—42no—
945C22⋊Q8—44no—
946C22⋊Q8—44no—
947#121—28no—
948#121—28no—
949#121—28no—
950#121—28no—
951#121—216no—
952#121—216no—
953#121—44no—
954#121—48no—
955#121—44no—
956#121—48no—
957#121—48no—
958#121—48no—
959#121—48no—
960#121—48no—
961#121—48no—
962#121—48no—
963#121—48no—
964#121—48no—
965#121—48no—
966#121—48no—
967#121—48no—
968#121—42no—
969#121—44no—
970#121—44no—
971#121—44no—
972#121—44no—
973#121—44no—
974#121—44no—
975#121—44no—
976#121—44no—
977#121—44no—
978#121—44no—
979#121—44no—
980#121—44no—
981#121—48no—
982#120—216no—
983#120—216no—
984#120—48no—
985#120—48no—
986#120—48no—
987#120—48no—
988#120—48no—
989#120—48no—
990C4×Q8—24no—
991C4×Q8—24no—
992C4×Q8—24no—
993C4×Q8—42no—
994C4×Q8—42no—
995C4×Q8—44no—
996C4×D4—28no—
997C4×D4—28no—
998C4×D4—28no—
999C4×D4—24no—
1000C4×D4—24no—
1001C4×D4—28no—
1002C4×D4—28no—
1003C4×D4—28no—
1004C4×D4—24no—
1005C4×D4—28no—
1006C4×D4—44no—
1007C4×D4—48no—
1008C4×D4—48no—
1009C4×D4—44no—
1010C4×D4—44no—
1011C4×D4—42no—
1012C4×D4—42no—
1013C4×D4—44no—
1014C4×D4—44no—
1015C4×D4—44no—
1016C4×D4—44no—
1017C4×D4—44no—
1018C4×D4—44no—
1019C4×D4—44no—
1020C4×D4—44no—
1021C4×D4—44no—
1022C4×D4—44no—
1023C4×D4—48no—
1024C4×D4—44no—
1025C4×D4—44no—
1026C4×D4—48no—
1027C4×D4—48no—
1028C4×D4—48no—
1029#117—28no—
1030#117—44no—
1031#117—44no—
1032#117—42no—
1033#117—42no—
1034#117—44no—
1035C2×C4⋊C4—44no—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C22⋊C4—48no—
1084C2×C22⋊C4—48no—
1085C2×C22⋊C4—48no—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C42—24no—
1159C2×C42—24no—
1160C2×C42—24no—
1161C2×C42—24no—
1162C2×C42—24no—
1163C2×C42—44no—
1164C2×C42—44no—
1165C2×C42—42no—
1166C2×C42—42no—
1167C2×C42C2411yescharacteristic
1168C2×C42C2412yes—
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175C2×C42C2412yes—
1176C2×C42C2412yes—
1177C2×C42C2412yes—
1178C2×C42C2412yes—
1179C2×C42C2411yescharacteristic
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183C2×C42C2411yescharacteristic
1184C2×C42C2411yescharacteristic
1185C2×C42C2411yescharacteristic
1186C2×C42C2411yescharacteristic
1187C2×C42C2411yescharacteristic
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2412yes—
1193C2×C42C2412yes—
1194C2×C42C2414yes—
1195C2×C42C2414yes—
1196C2×C42C2412yes—
1197C2×C42C2412yes—
1198C2×C42C2414yes—
1199C2×C42C2411yescharacteristic
1200C2×C42C2411yescharacteristic
1201C2×C42C2411yescharacteristic
1202C2×C42C2411yescharacteristic
1203C2×C42C2411yescharacteristic
1204C2×C42C2411yescharacteristic
1205C2×C42C2411yescharacteristic
1206C2×C42C2411yescharacteristic
1207#95C2412yes—
1208#95C2412yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2414yes—
1232#95C2412yes—
1233#95C2414yes—
1234#95C2412yes—
1235#95C2414yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2414yes—
1254#95C2414yes—
1255C24—28no—
1256C24—44no—
1257C24—44no—
1258C24—44no—
1259C24—44no—
1260C24—44no—
1261C24—44no—
1262C24C2512yes—
1263C24C2514yes—
1264C24C2512yes—
1265C24C2514yes—
1266C24C2512yes—
1267C24C2511yescharacteristic
1268#41—416no—
1269#41—416no—
1270#41—832no—
1271#41—816no—
1272#41—816no—
1273C2×Q8—22no—
1274C2×Q8—22no—
1275C2×Q8—22no—
1276C2×Q8—22no—
1277C2×Q8—22no—
1278C2×Q8—22no—
1279C2×Q8—22no—
1280C2×Q8—28no—
1281C2×Q8—22no—
1282C2×Q8—44no—
1283C2×Q8—44no—
1284C2×Q8C2×#4114yes—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—24no—
1288C2×D4—24no—
1289C2×D4—24no—
1290C2×D4—28no—
1291C2×D4—28no—
1292C2×D4—28no—
1293C2×D4—24no—
1294C2×D4—28no—
1295C2×D4—28no—
1296C2×D4—24no—
1297C2×D4—24no—
1298C2×D4—22no—
1299C2×D4—24no—
1300C2×D4—28no—
1301C2×D4—28no—
1302C2×D4—28no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—24no—
1307C2×D4—24no—
1308C2×D4—24no—
1309C2×D4—24no—
1310C2×D4—22no—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—24no—
1314C2×D4—24no—
1315C2×D4—24no—
1316C2×D4—22no—
1317C2×D4—24no—
1318C2×D4—22no—
1319C2×D4—24no—
1320C2×D4—28no—
1321C2×D4—24no—
1322C2×D4—24no—
1323C2×D4—22no—
1324C2×D4—24no—
1325C2×D4—28no—
1326C2×D4—42no—
1327C2×D4—42no—
1328C2×D4—42no—
1329C2×D4—42no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—42no—
1333C2×D4—44no—
1334C2×D4—42no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—44no—
1352C2×D4—42no—
1353C2×D4—44no—
1354C2×D4—44no—
1355C2×D4—42no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—42no—
1361C2×D4—44no—
1362C2×D4—42no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—816no—
1378C2×D4—816no—
1379C2×D4C2×#4114yes—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—24no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—24no—
1390C22×C4—24no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—24no—
1401C22×C4—24no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—24no—
1408C22×C4—24no—
1409C22×C4—28no—
1410C22×C4—24no—
1411C22×C4—28no—
1412C22×C4—28no—
1413C22×C4—24no—
1414C22×C4—42no—
1415C22×C4—42no—
1416C22×C4—41no—
1417C22×C4—41no—
1418C22×C4—41no—
1419C22×C4—41no—
1420C22×C4—42no—
1421C22×C4—42no—
1422C22×C4—44no—
1423C22×C4—44no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4—44no—
1428C22×C4—44no—
1429C22×C4—44no—
1430C22×C4—42no—
1431C22×C4—42no—
1432C22×C4—44no—
1433C22×C4—44no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4—44no—
1438C22×C4—44no—
1439C22×C4H(5,𝔽2)14yes—
1440C22×C4C2512yes—
1441C22×C4C2512yes—
1442C22×C4C2512yes—
1443C22×C4C2512yes—
1444C22×C4C2512yes—
1445C22×C4C2512yes—
1446C22×C4C2511yescharacteristic
1447C22×C4C2512yes—
1448C22×C4C2512yes—
1449C22×C4C2512yes—
1450C22×C4C2512yes—
1451C22×C4C2512yes—
1452C22×C4C2514yes—
1453C22×C4C2514yes—
1454C22×C4C2512yes—
1455C22×C4C2511yescharacteristic
1456C22×C4C2511yescharacteristic
1457C22×C4C2511yescharacteristic
1458C22×C4C2512yes—
1459C22×C4C2511yescharacteristic
1460C22×C4C2511yescharacteristic
1461C22×C4C2511yescharacteristic
1462C22×C4C2511yescharacteristic
1463C22×C4C2511yescharacteristic
1464C22×C4C2511yescharacteristic
1465C22×C4C2511yescharacteristic
1466C22×C4C2511yescharacteristic
1467C22×C4C2511yescharacteristic
1468C22×C4C2511yescharacteristic
1469C4⋊C4—24no—
1470C4⋊C4—24no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—22no—
1474C4⋊C4—24no—
1475C4⋊C4—22no—
1476C4⋊C4—22no—
1477C4⋊C4—22no—
1478C4⋊C4—22no—
1479C4⋊C4—24no—
1480C4⋊C4—22no—
1481C4⋊C4—24no—
1482C4⋊C4—22no—
1483C4⋊C4—24no—
1484C4⋊C4—24no—
1485C4⋊C4—24no—
1486C4⋊C4—24no—
1487C4⋊C4—22no—
1488C4⋊C4—24no—
1489C4⋊C4—24no—
1490C4⋊C4—24no—
1491C4⋊C4—24no—
1492C4⋊C4—24no—
1493C4⋊C4—24no—
1494C4⋊C4—24no—
1495C4⋊C4—24no—
1496C4⋊C4—22no—
1497C4⋊C4—22no—
1498C4⋊C4—24no—
1499C4⋊C4—44no—
1500C4⋊C4—42no—
1501C4⋊C4—42no—
1502C4⋊C4—42no—
1503C4⋊C4—42no—
1504C4⋊C4—42no—
1505C4⋊C4—44no—
1506C4⋊C4—44no—
1507C4⋊C4—44no—
1508C4⋊C4—42no—
1509C4⋊C4—44no—
1510C4⋊C4—44no—
1511C4⋊C4—44no—
1512C4⋊C4—44no—
1513C4⋊C4—42no—
1514C4⋊C4—44no—
1515C4⋊C4—42no—
1516C22⋊C4—24no—
1517C22⋊C4—24no—
1518C22⋊C4—24no—
1519C22⋊C4—24no—
1520C22⋊C4—24no—
1521C22⋊C4—28no—
1522C22⋊C4—28no—
1523C22⋊C4—24no—
1524C22⋊C4—24no—
1525C22⋊C4—24no—
1526C22⋊C4—24no—
1527C22⋊C4—28no—
1528C22⋊C4—28no—
1529C22⋊C4—24no—
1530C22⋊C4—24no—
1531C22⋊C4—24no—
1532C22⋊C4—24no—
1533C22⋊C4—28no—
1534C22⋊C4—24no—
1535C22⋊C4—24no—
1536C22⋊C4—28no—
1537C22⋊C4—28no—
1538C22⋊C4—28no—
1539C22⋊C4—28no—
1540C22⋊C4—28no—
1541C22⋊C4—24no—
1542C22⋊C4—24no—
1543C22⋊C4—24no—
1544C22⋊C4—24no—
1545C22⋊C4—24no—
1546C22⋊C4—24no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—42no—
1554C22⋊C4—42no—
1555C22⋊C4—42no—
1556C22⋊C4—42no—
1557C22⋊C4—44no—
1558C22⋊C4—42no—
1559C22⋊C4—42no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—44no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—42no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—42no—
1583C22⋊C4—42no—
1584C22⋊C4—42no—
1585C22⋊C4—44no—
1586C22⋊C4C2×#4118yes—
1587C22⋊C4C2×#4118yes—
1588C42—22no—
1589C42—22no—
1590C42—22no—
1591C42—24no—
1592C42—22no—
1593C42—22no—
1594C42—22no—
1595C42—22no—
1596C42—22no—
1597C42—22no—
1598C42—22no—
1599C42—22no—
1600C42—22no—
1601C42—22no—
1602C42—22no—
1603C42—22no—
1604C42—22no—
1605C42—24no—
1606C42—24no—
1607C42—24no—
1608C42—24no—
1609C42—22no—
1610C42—22no—
1611C42—22no—
1612C42—22no—
1613C42—41no—
1614C42—41no—
1615C42—41no—
1616C42—41no—
1617C42—42no—
1618C42—42no—
1619C42—42no—
1620C42—42no—
1621C42—44no—
1622C42—44no—
1623C42—44no—
1624C42C2×#4114yes—
1625C42H(5,𝔽2)14yes—
1626C42H(5,𝔽2)14yes—
1627C42H(5,𝔽2)14yes—
1628C23—21no—
1629C23—22no—
1630C23—22no—
1631C23—22no—
1632C23—21no—
1633C23—22no—
1634C23—21no—
1635C23—21no—
1636C23—22no—
1637C23—21no—
1638C23—21no—
1639C23—22no—
1640C23—22no—
1641C23—22no—
1642C23—24no—
1643C23—24no—
1644C23—22no—
1645C23—24no—
1646C23—22no—
1647C23—24no—
1648C23—24no—
1649C23—24no—
1650C23—22no—
1651C23—22no—
1652C23—22no—
1653C23—22no—
1654C23—24no—
1655C23—24no—
1656C23—22no—
1657C23—24no—
1658C23—22no—
1659C23—24no—
1660C23—22no—
1661C23—22no—
1662C23—24no—
1663C23—24no—
1664C23—22no—
1665C23—22no—
1666C23—24no—
1667C23—24no—
1668C23—88no—
1669C23—88no—
1670C23—88no—
1671C23—88no—
1672C23—88no—
1673C23—164no—
1674C23—164no—
1675C23C22×#4114yes—
1676C23C2×H(5,𝔽2)12yes—
1677C23C2611yescharacteristic
1678Q8—28no—
1679Q8—44no—
1680Q8—44no—
1681Q8—88no—
1682D4—28no—
1683D4—48no—
1684D4—48no—
1685D4—48no—
1686D4—48no—
1687D4—48no—
1688D4—44no—
1689D4—48no—
1690D4—48no—
1691D4—44no—
1692D4—48no—
1693D4—88no—
1694D4—88no—
1695D4—88no—
1696D4—84no—
1697D4—84no—
1698D4—88no—
1699D4—88no—
1700D4—84no—
1701D4—88no—
1702D4—88no—
1703D4—88no—
1704D4—88no—
1705D4—88no—
1706D4—88no—
1707D4—88no—
1708D4—88no—
1709D4—164no—
1710D4—164no—
1711D4—164no—
1712D4—164no—
1713C2×C4—28no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—28no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—24no—
1758C2×C4—24no—
1759C2×C4—24no—
1760C2×C4—24no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—24no—
1764C2×C4—24no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—44no—
1786C2×C4—44no—
1787C2×C4—44no—
1788C2×C4—48no—
1789C2×C4—44no—
1790C2×C4—48no—
1791C2×C4—48no—
1792C2×C4—44no—
1793C2×C4—48no—
1794C2×C4—48no—
1795C2×C4—84no—
1796C2×C4—84no—
1797C2×C4—88no—
1798C2×C4—88no—
1799C2×C4—88no—
1800C2×C4—88no—
1801C2×C4—164no—
1802C2×C4—164no—
1803C2×C4C22×#4112yes—
1804C2×C4C22×#4112yes—
1805C2×C4C22×#4114yes—
1806C2×C4C22×#4112yes—
1807C2×C4C2×H(5,𝔽2)12yes—
1808C2×C4C2×H(5,𝔽2)12yes—
1809C2×C4C2×H(5,𝔽2)12yes—
1810C2×C4C2×H(5,𝔽2)12yes—
1811C2×C4C2×H(5,𝔽2)12yes—
1812C2×C4C2×H(5,𝔽2)12yes—
1813C2×C4C2×H(5,𝔽2)12yes—
1814C2×C4C2×H(5,𝔽2)12yes—
1815C2×C4C2×H(5,𝔽2)12yes—
1816C2×C4C2×H(5,𝔽2)12yes—
1817C2×C4C2×H(5,𝔽2)12yes—
1818C2×C4#58512yes—
1819C2×C4#58512yes—
1820C22—22no—
1821C22—22no—
1822C22—24no—
1823C22—24no—
1824C22—24no—
1825C22—22no—
1826C22—41no—
1827C22—42no—
1828C22—42no—
1829C22—41no—
1830C22—41no—
1831C22—42no—
1832C22—41no—
1833C22—42no—
1834C22—42no—
1835C22—44no—
1836C22—42no—
1837C22—44no—
1838C22—44no—
1839C22—42no—
1840C22—44no—
1841C22—42no—
1842C22—42no—
1843C22—42no—
1844C22—44no—
1845C22—44no—
1846C22—42no—
1847C22—42no—
1848C22—44no—
1849C22—44no—
1850C22—44no—
1851C22—44no—
1852C22—42no—
1853C22—42no—
1854C22—44no—
1855C22—44no—
1856C22—42no—
1857C22—42no—
1858C22—42no—
1859C22—44no—
1860C22—44no—
1861C22—42no—
1862C22—1616no—
1863C22C23×#4111yescharacteristic
1864C22C22×H(5,𝔽2)11yescharacteristic
1865C22C22×H(5,𝔽2)11yescharacteristic
1866C22C22×H(5,𝔽2)11yescharacteristic
1867C22C22×H(5,𝔽2)11yescharacteristic
1868C22C2×#58511yescharacteristic
1869C22C2×#58511yescharacteristic
1870C4—22no—
1871C4—22no—
1872C4—24no—
1873C4—22no—
1874C4—22no—
1875C4—22no—
1876C4—22no—
1877C4—22no—
1878C4—22no—
1879C4—22no—
1880C4—22no—
1881C4—41no—
1882C4—42no—
1883C4—42no—
1884C4—42no—
1885C4—41no—
1886C4—42no—
1887C4—42no—
1888C4—42no—
1889C4—42no—
1890C4—42no—
1891C4—44no—
1892C4—44no—
1893C4—42no—
1894C4—42no—
1895C4—42no—
1896C4—42no—
1897C4#351914yes—
1898C4#354614yes—
1899C2—42no—
1900C2—44no—
1901C2—82no—
1902C2—84no—
1903C2—84no—
1904C2—82no—
1905C2C2×#354611yescharacteristic
1906C2#6274811yescharacteristic
1907C2C2×#351911yescharacteristic
1908C2#6280011yescharacteristic
1909C2#6280011yescharacteristic
1910C2#6283211yescharacteristic
1911C2#6283411yescharacteristic
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. #59680C2semidirect
2. #59679C2semidirect
3. #59412C2semidirect
4. #59411C2semidirect
5. #59099C2semidirect
6. #59097C2semidirect
7. #45824C2semidirect
8. #45655C2semidirect
9. #45608C2semidirect
10. #39876C2semidirect
11. #39852C2semidirect
12. #39790C2semidirect
13. #39745C2semidirect
14. #39633C2semidirect
15. #39505C2semidirect
16. #39405C2semidirect
17. #39361C2semidirect
18. #38852C2semidirect
19. #37898C2semidirect
20. #37808C2semidirect
21. #37681C2semidirect
22. #37587C2semidirect
23. #36909C2semidirect
24. #36644C2semidirect
25. #36638C2semidirect
26. #36498C2semidirect
27. #36493C2semidirect
28. #36455C2semidirect
29. #36410C2semidirect
30. #36362C2semidirect
31. #36258C2semidirect
32. #35044C2semidirect
33. #35007C2semidirect
34. #34438C2semidirect
35. C4×#532C2semidirect
36. C2×#559C22semidirect
37. C2×#553C22semidirect
40. C2×#550C22semidirect
44. C2×#538C22semidirect
47. C2×#532C22semidirect
48. C2×#532C22semidirect
49. C2×#532C22semidirect
51. C2×C4×#41C22semidirect
52. #2868C22semidirect
54. #2866C22semidirect
55. #2865C22semidirect
56. #2864C22semidirect
57. #2863C22semidirect
60. #2858C22semidirect
61. #2858C22semidirect
62. #2858C22semidirect
65. #2856C22semidirect
66. #2856C22semidirect
67. #2856C22semidirect
68. #2856C22semidirect
69. #2855C22semidirect
72. #2854C22semidirect
73. #2853C22semidirect
74. #2852C22semidirect
75. #2851C22semidirect
77. #2850C22semidirect
78. #2829C22semidirect
79. #2828C22semidirect
80. #2803C22semidirect
81. #2800C22semidirect
82. #2795C22semidirect
83. #2790C22semidirect
84. #2780C22semidirect
85. #2731C22semidirect
86. #2729C22semidirect
87. #2715C22semidirect
88. #2714C22semidirect
89. #2714C22semidirect
90. #2710C22semidirect
91. #2703C22semidirect
92. #2703C22semidirect
93. #2701C22semidirect
94. #2699C22semidirect
95. #2691C22semidirect
96. #2691C22semidirect
97. #2688C22semidirect
99. #2678C22semidirect
100. #2678C22semidirect
101. #2676C22semidirect
102. #2675C22semidirect
103. #2675C22semidirect
104. #2673C22semidirect
105. #2673C22semidirect
106. #2673C22semidirect
107. #2670C22semidirect
110. #2669C22semidirect
111. #2669C22semidirect
112. #2662C22semidirect
113. #2661C22semidirect
114. #2657C22semidirect
115. #2648C22semidirect
116. #2647C22semidirect
117. #2635C22semidirect
118. #2631C22semidirect
119. #2630C22semidirect
120. #2620C22semidirect
122. #2597C22semidirect
123. #2597C22semidirect
124. #2597C22semidirect
125. #2582C22semidirect
126. #2566C22semidirect
127. #2557C22semidirect
128. #2555C22semidirect
129. #2554C22semidirect
130. #2554C22semidirect
131. #2554C22semidirect
134. #2545C22semidirect
136. #2544C22semidirect
140. #2541C22semidirect
141. #2541C22semidirect
142. #2540C22semidirect
146. #2537C22semidirect
148. #2535C22semidirect
149. #2535C22semidirect
150. #2513C22semidirect
151. #2512C22semidirect
152. #2512C22semidirect
153. #2512C22semidirect
154. #2502C22semidirect
156. #2497C22semidirect
157. #2497C22semidirect
158. #2492C22semidirect
159. #2492C22semidirect
161. #2491C22semidirect
162. #2476C22semidirect
163. #2472C22semidirect
164. #2471C22semidirect
165. #2466C22semidirect
166. #2464C22semidirect
167. #2464C22semidirect
168. #2464C22semidirect
169. #2459C22semidirect
170. #2457C22semidirect
171. #2457C22semidirect
172. #2456C22semidirect
173. #2456C22semidirect
174. #2456C22semidirect
175. #2456C22semidirect
176. #2456C22semidirect
178. #2451C22semidirect
179. #2448C22semidirect
180. #2447C22semidirect
181. #2447C22semidirect
183. #2445C22semidirect
184. #2445C22semidirect
185. #2440C22semidirect
186. #2439C22semidirect
191. #2432C22semidirect
194. #2431C22semidirect
195. #2431C22semidirect
196. #2431C22semidirect
197. #2431C22semidirect
198. #2430C22semidirect
202. #2428C22semidirect
203. #2428C22semidirect
204. #2428C22semidirect
205. #2428C22semidirect
206. #2427C22semidirect
208. #2425C22semidirect
211. #2424C22semidirect
212. #2424C22semidirect
213. #2424C22semidirect
215. #2422C22semidirect
217. #2416C22semidirect
219. #2414C22semidirect
220. #2414C22semidirect
221. #2414C22semidirect
222. #2414C22semidirect
227. #2407C22semidirect
228. #2407C22semidirect
229. #2404C22semidirect
230. #2377C22semidirect
231. #2375C22semidirect
232. #2367C22semidirect
233. #2367C22semidirect
236. #2364C22semidirect
237. #2364C22semidirect
238. #2363C22semidirect
239. #2363C22semidirect
240. #2358C22semidirect
241. #2358C22semidirect
242. #2357C22semidirect
243. #2355C22semidirect
244. #2354C22semidirect
245. Q8×C4⋊C4C22semidirect
246. #2349C22semidirect
248. #2341C22semidirect
249. #2339C22semidirect
252. #2337C22semidirect
253. #2333C22semidirect
254. #2328C22semidirect
256. #2325C22semidirect
257. #2321C22semidirect
258. #2321C22semidirect
259. #2314C22semidirect
260. C4×C4⋊Q8C22semidirect
261. C4×C4⋊Q8C22semidirect
265. C4×#127C22semidirect
266. C4×#127C22semidirect
267. C4×#127C22semidirect
268. C4×#127C22semidirect
269. C4×#125C22semidirect
270. C4×#126C22semidirect
274. C4×#124C22semidirect
275. C4×#124C22semidirect
276. C4×C22⋊Q8C22semidirect
277. C4×#123C22semidirect
279. C4×#121C22semidirect
280. C4×#121C22semidirect
281. C4×#121C22semidirect
282. C4×#121C22semidirect
283. C4×#121C22semidirect
284. C4×#121C22semidirect
285. #2298C22semidirect
287. #2297C22semidirect
288. #2297C22semidirect
289. #2295C22semidirect
291. #2293C22semidirect
292. #2293C22semidirect
294. #2290C22semidirect
295. #2285C22semidirect
296. C42×D4C22semidirect
297. C42×D4C22semidirect
298. C2×C43C22semidirect
935. #124#41semidirect

Maximal subgroups

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

subgroupindex
#596802
#596792
#594122
#594112
#590992
#590972
#458242
#456552
#456082
#398762
#398522
#397902
#397452
#396332
#395052
#394052
#393612
#388522
#378982
#378082
#376812
#375872
#369092
#366442
#366382
#364982
#364932
#364552
#364102
#363622
#362582
#350442
#350072
#344382
C4×#5322