Finite Group Databasebeta

← #7987583

Subgroups — #7987583

Order 512.

5719 conjugacy classes of subgroups.

The subgroup lattice has 1822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59680C211yesmaximal, characteristic, complemented
2#59641C211yesmaximal, characteristic, complemented
3#59637C212yesmaximal, complemented
4#59451C211yesmaximal, characteristic, complemented
5#59414C212yesmaximal, complemented
6#49926C214yesmaximal, complemented
7#48450C214yesmaximal, complemented
8#46106C214yesmaximal, complemented
9#45393C212yesmaximal, complemented
10#45018C212yesmaximal, complemented
11#45002C212yesmaximal, complemented
12#44957C212yesmaximal, complemented
13#42977C212yesmaximal, complemented
14#42960C212yesmaximal, complemented
15#42629C212yesmaximal, complemented
16#42565C212yesmaximal, complemented
17#40421C214yesmaximal, complemented
18#39818C212yesmaximal, complemented
19#39387C211yesmaximal, characteristic, complemented
20#39386C211yesmaximal, characteristic, complemented
21#39361C211yesmaximal, characteristic, complemented
22#38956C211yesmaximal, characteristic, complemented
23#38945C212yesmaximal, complemented
24#36595C211yesmaximal, characteristic, complemented
25#36591C211yesmaximal, characteristic, complemented
26#36493C212yesmaximal, complemented
27#36471C212yesmaximal, complemented
28#36260C211yesmaximal, characteristic, complemented
29#35254C212yesmaximal, complemented
30#35169C212yesmaximal, complemented
31#34954C211yesmaximal, characteristic, complemented
32#34893C211yesmaximal, characteristic, complemented
33#34493C211yesmaximal, characteristic, complemented
34#34480C211yesmaximal, characteristic, complemented
35C4×#550C211yesmaximal, characteristic, complemented
36C2×#559C2212yescomplemented
37C2×#559C2212yescomplemented
38C2×#553C2212yescomplemented
39C2×#550C2211yescharacteristic
40C2×#547C2211yescharacteristic
41C2×#546C2212yes—
42C2×#546C2212yes—
43C2×D42C2211yescharacteristic
44C2×#542C2212yescomplemented
45C2×#540C2212yescomplemented
46C2×#535C2212yes—
47C2×C4×#41C2212yescomplemented
48#2867C2211yescharacteristic
49#2861C2212yescomplemented
50#2858C2211yescharacteristic
51#2858C2211yescharacteristic, complemented
52#2856C2212yes—
53#2854C2214yescomplemented
54#2854C2214yescomplemented
55#2850C2214yescomplemented
56#2837C2214yescomplemented
57#2828C2214yescomplemented
58#2803C2214yescomplemented
59#2797C2214yescomplemented
60#2773C2214yescomplemented
61#2752C2214yescomplemented
62#2748C2214yescomplemented
63#2741C2214yescomplemented
64#2730C2214yescomplemented
65#2714C2214yescomplemented
66#2714C2214yescomplemented
67#2710C2214yescomplemented
68#2706C2214yescomplemented
69#2706C2214yescomplemented
70#2705C2214yescomplemented
71#2705C2214yescomplemented
72#2705C2214yescomplemented
73#2703C2214yescomplemented
74#2703C2214yescomplemented
75#2703C2214yescomplemented
76#2701C2214yescomplemented
77#2696C2214yescomplemented
78#2693C2214yescomplemented
79#2688C2214yescomplemented
80#2678C2214yescomplemented
81#2678C2214yescomplemented
82#2678C2214yescomplemented
83#2673C2214yescomplemented
84#2673C2214yescomplemented
85#2671C2214yescomplemented
86#2670C2214yescomplemented
87#2670C2214yescomplemented
88#2669C2214yes—
89#2669C2214yes—
90#2668C2214yescomplemented
91#2663C2214yescomplemented
92#2661C2214yescomplemented
93#2661C2214yescomplemented
94#2649C2214yescomplemented
95#2624C2214yescomplemented
96#2624C2214yescomplemented
97#2620C2212yescomplemented
98#2619C2212yes—
99#2619C2212yescomplemented
100#2619C2212yescomplemented
101#2602C2214yescomplemented
102#2602C2214yescomplemented
103#2596C2214yescomplemented
104#2595C2214yescomplemented
105#2593C2212yescomplemented
106#2593C2212yescomplemented
107#2589C2212yescomplemented
108#2587C2212yescomplemented
109#2584C2211yescharacteristic, complemented
110#2582C2211yescharacteristic, complemented
111#2580C2211yescharacteristic
112#2580C2212yescomplemented
113#2571C2211yescharacteristic, complemented
114#2570C2212yescomplemented
115#2568C2211yescharacteristic, complemented
116#2566C2211yescharacteristic
117#2559C2214yescomplemented
118#2557C2214yescomplemented
119#2557C2214yescomplemented
120#2555C2214yescomplemented
121#2555C2214yescomplemented
122#2554C2214yescomplemented
123#2553C2214yescomplemented
124#2553C2214yescomplemented
125#2550C2211yescharacteristic, complemented
126#2548C2211yescharacteristic
127#2548C2211yescharacteristic
128#2548C2212yes—
129#2548C2211yescharacteristic
130#2548C2212yescomplemented
131#2548C2212yescomplemented
132#2548C2212yescomplemented
133#2544C2212yescomplemented
134#2544C2212yescomplemented
135#2542C2211yescharacteristic
136#2541C2212yes—
137#2541C2211yescharacteristic
138#2541C2211yescharacteristic
139#2541C2211yescharacteristic, complemented
140#2541C2212yescomplemented
141#2541C2212yescomplemented
142#2540C2212yes—
143#2540C2212yes—
144#2540C2214yescomplemented
145#2539C2214yes—
146#2539C2214yes—
147#2539C2214yescomplemented
148#2538C2212yescomplemented
149#2535C2212yescomplemented
150#2535C2214yescomplemented
151#2522C2212yescomplemented
152#2521C2214yescomplemented
153#2516C2214yescomplemented
154#2513C2212yes—
155#2513C2211yescharacteristic
156#2513C2212yescomplemented
157#2513C2211yescharacteristic, complemented
158#2513C2212yescomplemented
159#2512C2212yescomplemented
160#2512C2212yescomplemented
161#2509C2211yescharacteristic, complemented
162#2507C2211yescharacteristic, complemented
163#2504C2212yescomplemented
164#2501C2212yes—
165#2501C2212yescomplemented
166#2499C2212yescomplemented
167#2491C2212yescomplemented
168#2489C2212yescomplemented
169#2472C2214yescomplemented
170#2471C2214yescomplemented
171#2471C2214yescomplemented
172#2465C2212yescomplemented
173#2464C2214yescomplemented
174#2464C2214yescomplemented
175#2456C2214yescomplemented
176#2456C2214yescomplemented
177#2456C2214yescomplemented
178#2456C2214yescomplemented
179#2455C2214yescomplemented
180#2454C2211yescharacteristic
181#2452C2211yescharacteristic
182#2448C2212yes—
183#2448C2211yescharacteristic
184#2448C2212yescomplemented
185#2448C2212yescomplemented
186#2448C2212yescomplemented
187#2448C2211yescharacteristic, complemented
188#2448C2212yescomplemented
189#2447C2212yescomplemented
190#2445C2212yes—
191#2445C2212yes—
192#2445C2212yescomplemented
193#2445C2212yescomplemented
194#2445C2212yescomplemented
195#2445C2212yescomplemented
196#2445C2212yescomplemented
197#2445C2212yescomplemented
198#2445C2212yescomplemented
199#2433C2212yes—
200#2433C2212yes—
201#2433C2212yes—
202#2433C2212yes—
203#2431C2212yes—
204#2431C2212yes—
205#2431C2212yes—
206#2431C2212yescomplemented
207#2428C2212yes—
208#2428C2212yes—
209#2428C2212yescomplemented
210#2428C2212yescomplemented
211#2427C2212yescomplemented
212#2427C2212yescomplemented
213#2427C2212yescomplemented
214#2426C2212yescomplemented
215#2424C2214yescomplemented
216#2423C2212yescomplemented
217#2422C2212yescomplemented
218#2418C2214yescomplemented
219#2418C2214yescomplemented
220#2418C2214yescomplemented
221#2418C2214yescomplemented
222#2418C2214yescomplemented
223#2416C2212yescomplemented
224#2414C2212yescomplemented
225#2412C2214yescomplemented
226#2396C2212yescomplemented
227#2396C2212yescomplemented
228#2395C2212yescomplemented
229#2395C2212yescomplemented
230#2376C2214yescomplemented
231#2375C2214yes—
232#2367C2212yescomplemented
233#2366C2212yes—
234#2366C2211yescharacteristic
235#2366C2212yescomplemented
236#2366C2211yescharacteristic, complemented
237#2366C2212yescomplemented
238#2366C2212yescomplemented
239#2365C2211yescharacteristic, complemented
240#2363C2212yes—
241#2363C2212yes—
242#2363C2214yescomplemented
243#2363C2212yescomplemented
244#2363C2212yescomplemented
245#2362C2212yescomplemented
246#2361C2212yescomplemented
247#2360C2212yescomplemented
248#2358C2214yescomplemented
249#2357C2212yescomplemented
250#2355C2212yescomplemented
251#2354C2211yescharacteristic
252#2354C2211yescharacteristic
253#2354C2212yescomplemented
254Q8×C4⋊C4C2211yescharacteristic, complemented
255D4×C4⋊C4C2211yescharacteristic, complemented
256#2345C2212yescomplemented
257#2341C2212yes—
258#2341C2212yescomplemented
259D4×C22⋊C4C2212yes—
260D4×C22⋊C4C2212yes—
261#2335C2214yescomplemented
262#2324C2212yes—
263#2324C2212yes—
264#2324C2212yescomplemented
265#2323C2212yescomplemented
266#2321C2214yes—
267#2316C2212yescomplemented
268#2311C2212yes—
269#2311C2212yescomplemented
270#2309C2212yes—
271#2309C2212yes—
272C4×C4⋊Q8C2211yescharacteristic, complemented
273C4×C4⋊Q8C2211yescharacteristic, complemented
274C4×#127C2212yes—
275C4×#127C2211yescharacteristic
276C4×#127C2211yescharacteristic
277C4×#127C2211yescharacteristic, complemented
278C4×#125C2211yescharacteristic, complemented
279C4×#125C2211yescharacteristic, complemented
280C4×#124C2211yescharacteristic
281C4×#124C2212yescomplemented
282C4×#124C2212yescomplemented
283C4×#124C2211yescharacteristic, complemented
284C4×C22⋊Q8C2212yescomplemented
285C4×#121C2214yescomplemented
286C4×#121C2212yescomplemented
287C4×#121C2214yescomplemented
288#2296C2212yescomplemented
289#2293C2211yescharacteristic
290#2293C2211yescharacteristic
291#2293C2211yescharacteristic
292#2293C2212yescomplemented
293#2293C2211yescharacteristic, complemented
294C2×#390C2212yes—
295C42×Q8C2211yescharacteristic, complemented
296C42×Q8C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic
298C42×D4C2212yescomplemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×D4C2312yes—
302C23×D4C2312yes—
303#559—48no—
304#559—48no—
305#553—48no—
306#550—28no—
307#547—28no—
308#546—48no—
309#546—48no—
310D42—28no—
311#542—48no—
312#540—48no—
313#535—48no—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×#127C2311yescharacteristic
317C2×#127C2312yes—
318C2×#127C2311yescharacteristic
319C2×#127C2311yescharacteristic
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#126C2314yes—
330C2×#126C2314yes—
331C2×#125C2311yescharacteristic
332C2×#125C2311yescharacteristic
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2311yescharacteristic
336C2×#124C2311yescharacteristic
337C2×#124C2314yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2314yes—
343C2×#124C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×#123C2314yes—
355C2×#123C2314yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2314yes—
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×#121C2314yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#120C2314yes—
383C2×#120C2314yes—
384C2×#120C2314yes—
385C2×#120C2314yes—
386C2×#120C2314yes—
387C2×#120C2314yes—
388C2×#120C2314yes—
389C4×#41—48no—
390C2×C4×Q8C2311yescharacteristic
391C2×C4×Q8C2311yescharacteristic
392C2×C4×Q8C2312yes—
393C2×C4×Q8C2311yescharacteristic
394C2×C4×Q8C2312yes—
395C2×C4×Q8C2312yes—
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2311yescharacteristic
398C2×C4×Q8C2311yescharacteristic
399C2×C4×Q8C2311yescharacteristic
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2312yes—
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2314yes—
417C2×C4×D4C2314yes—
418C2×C4×D4C2314yes—
419C2×C4×D4C2314yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2314yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2311yescharacteristic
425C2×#117C2312yes—
426C2×#117C2312yes—
427C2×#117C2312yes—
428C2×#117C2312yes—
429C2×#117C2312yes—
430C2×#117C2312yes—
431C2×#117C2314yes—
432C22×C4⋊C4C2312yes—
433C22×C4⋊C4C2312yes—
434C22×C22⋊C4C2314yes—
435C22×C22⋊C4C2314yes—
436C22×C22⋊C4C2314yes—
437C22×C42C2314yes—
438C22×C42C2312yes—
439#400C2314yes—
440#400C2314yes—
441#400C2312yes—
442#400C2312yes—
443#400C2312yes—
444#400C2312yes—
445#399C2312yes—
446#399C2314yes—
447#399C2314yes—
448#399C2312yes—
449#399C2314yes—
450#399C2312yes—
451#399C2314yes—
452#399C2314yes—
453#399C2314yes—
454#399C2312yes—
455#399C2314yes—
456#398C2314yes—
457#398C2312yes—
458#398C2312yes—
459#398C2312yes—
460#398C2312yes—
461#398C2312yes—
462#398C2312yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2312yes—
471#397C2314yes—
472#397C2314yes—
473#397C2312yes—
474#397C2312yes—
475#397C2312yes—
476#397C2312yes—
477#397C2312yes—
478#397C2314yes—
479#397C2314yes—
480#396C2312yes—
481#396C2312yes—
482#396C2314yes—
483#396C2314yes—
484#396C2312yes—
485#396C2312yes—
486#396C2314yes—
487#396C2314yes—
488#395C2312yes—
489#395C2312yes—
490#394C2312yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2312yes—
499#394C2312yes—
500#394C2312yes—
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#393C2312yes—
518#393C2314yes—
519#393C2312yes—
520#392C2314yes—
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#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2311yescharacteristic
545#391C2312yes—
546#391C2312yes—
547#391C2312yes—
548#391C2311yescharacteristic
549#391C2312yes—
550#391C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2314yes—
556#390C2311yescharacteristic
557#390C2312yes—
558#390C2314yes—
559#390C2312yes—
560#390C2311yescharacteristic
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2311yescharacteristic
566#390C2311yescharacteristic
567#390C2314yes—
568#390C2314yes—
569#390C2314yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2314yes—
574#390C2311yescharacteristic
575#390C2312yes—
576#390C2312yes—
577#390C2311yescharacteristic
578#390C2314yes—
579#390C2311yescharacteristic
580#390C2311yescharacteristic
581#390C2312yes—
582#390C2312yes—
583#390C2314yes—
584#390C2311yescharacteristic
585#390C2314yes—
586#390C2312yes—
587#390C2314yes—
588#390C2312yes—
589#390C2314yes—
590#390C2312yes—
591#390C2314yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2314yes—
599#390C2311yescharacteristic
600#390C2312yes—
601#390C2311yescharacteristic
602#390C2314yes—
603#390C2314yes—
604#390C2314yes—
605#390C2314yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2311yescharacteristic
610#390C2312yes—
611#390C2312yes—
612#389C2311yescharacteristic
613#389C2311yescharacteristic
614#389C2311yescharacteristic
615#389C2311yescharacteristic
616#389C2312yes—
617#389C2311yescharacteristic
618#389C2311yescharacteristic
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2311yescharacteristic
623#389C2311yescharacteristic
624#389C2312yes—
625#389C2314yes—
626#389C2312yes—
627#389C2314yes—
628#389C2312yes—
629#389C2311yescharacteristic
630#389C2311yescharacteristic
631#389C2311yescharacteristic
632#389C2311yescharacteristic
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2311yescharacteristic
637#389C2311yescharacteristic
638#389C2312yes—
639#389C2314yes—
640#389C2312yes—
641#389C2312yes—
642#388C2314yes—
643#388C2314yes—
644#388C2312yes—
645#388C2312yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2312yes—
664#388C2312yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#388C2312yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#387C2312yes—
687#387C2312yes—
688#387C2312yes—
689#387C2312yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2312yes—
698#387C2312yes—
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#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#385C2312yes—
729#385C2312yes—
730#385C2314yes—
731#385C2314yes—
732#385C2312yes—
733#385C2312yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2312yes—
739#385C2312yes—
740#384C2311yescharacteristic
741#384C2311yescharacteristic
742#384C2312yes—
743#384C2311yescharacteristic
744#384C2312yes—
745#382C2311yescharacteristic
746#382C2311yescharacteristic
747#382C2312yes—
748#382C2311yescharacteristic
749#382C2311yescharacteristic
750#382C2312yes—
751#382C2314yes—
752#381C2314yes—
753#380C2314yes—
754#380C2314yes—
755#380C2314yes—
756#380C2314yes—
757#380C2314yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2314yes—
762#380C2312yes—
763#380C2314yes—
764#379C2314yes—
765#379C2314yes—
766#379C2314yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2314yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2314yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C43C2311yescharacteristic
819C43C2311yescharacteristic
820C43C2311yescharacteristic
821C43C2312yes—
822C25C2414yes—
823C2×#41—28no—
824C2×#41—28no—
825C2×#41—28no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C22×Q8C2412yes—
830C22×Q8C2411yescharacteristic
831C22×Q8C2411yescharacteristic
832C22×Q8C2412yes—
833C22×D4—28no—
834C22×D4—28no—
835C22×D4—44no—
836C22×D4—44no—
837C22×D4—44no—
838C22×D4—44no—
839C22×D4C2412yes—
840C22×D4C2411yescharacteristic
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2411yescharacteristic
845C22×D4C2414yes—
846C22×D4C2411yescharacteristic
847C22×D4C2412yes—
848C22×D4C2414yes—
849C22×D4C2412yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2412yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2412yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2414yes—
868C23×C4C2412yes—
869C23×C4C2414yes—
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2414yes—
873C23×C4C2414yes—
874C23×C4C2414yes—
875C23×C4C2414yes—
876C23×C4C2414yes—
877C4⋊Q8—24no—
878C4⋊Q8—24no—
879#127—28no—
880#127—24no—
881#127—24no—
882#127—44no—
883#127—42no—
884#127—44no—
885#127—44no—
886#127—44no—
887#127—44no—
888#127—44no—
889#127—44no—
890#127—44no—
891#127—82no—
892#126—48no—
893#126—48no—
894#125—24no—
895#125—24no—
896#124—24no—
897#124—28no—
898#124—24no—
899#124—28no—
900#124—48no—
901#124—44no—
902#124—44no—
903#124—44no—
904#124—44no—
905#124—48no—
906#124—48no—
907#123—216no—
908#123—48no—
909#123—48no—
910#123—48no—
911#123—48no—
912#123—48no—
913#123—48no—
914#123—48no—
915#123—48no—
916#123—48no—
917#123—48no—
918#123—84no—
919C22⋊Q8—28no—
920C22⋊Q8—28no—
921C22⋊Q8—44no—
922C22⋊Q8—48no—
923C22⋊Q8—44no—
924#121—28no—
925#121—28no—
926#121—28no—
927#121—28no—
928#121—28no—
929#121—216no—
930#121—48no—
931#121—48no—
932#121—48no—
933#121—48no—
934#121—48no—
935#121—48no—
936#121—48no—
937#121—44no—
938#121—44no—
939#121—44no—
940#121—48no—
941#121—44no—
942#121—44no—
943#121—84no—
944#121—84no—
945#120—216no—
946#120—48no—
947#120—48no—
948#120—48no—
949#120—48no—
950#120—48no—
951#120—84no—
952C4×Q8—24no—
953C4×Q8—28no—
954C4×Q8—24no—
955C4×Q8—24no—
956C4×Q8—42no—
957C4×Q8—44no—
958C4×Q8—42no—
959C4×Q8—42no—
960C4×Q8—44no—
961C4×Q8—44no—
962C4×D4—28no—
963C4×D4—28no—
964C4×D4—24no—
965C4×D4—24no—
966C4×D4—24no—
967C4×D4—24no—
968C4×D4—28no—
969C4×D4—28no—
970C4×D4—48no—
971C4×D4—44no—
972C4×D4—44no—
973C4×D4—48no—
974C4×D4—48no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—48no—
982C4×D4—48no—
983C4×D4—84no—
984C4×D4—82no—
985C4×D4—82no—
986C4×D4#4118yes—
987#117—44no—
988#117—44no—
989#117—44no—
990#117—44no—
991#117—44no—
992#117—48no—
993#117—44no—
994C2×C4⋊C4—28no—
995C2×C4⋊C4—44no—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C22⋊C4—48no—
1057C2×C22⋊C4—48no—
1058C2×C22⋊C4—84no—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C42—48no—
1133C2×C42—44no—
1134C2×C42C2412yes—
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2412yes—
1140C2×C42C2412yes—
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2414yes—
1145C2×C42C2411yescharacteristic
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2414yes—
1154C2×C42C2412yes—
1155C2×C42C2414yes—
1156C2×C42C2412yes—
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159C2×C42C2414yes—
1160C2×C42C2414yes—
1161C2×C42C2412yes—
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2412yes—
1165C2×C42C2411yescharacteristic
1166C2×C42C2412yes—
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2411yescharacteristic
1197#95C2412yes—
1198#95C2411yescharacteristic
1199#95C2411yescharacteristic
1200#95C2411yescharacteristic
1201#95C2412yes—
1202#95C2411yescharacteristic
1203#95C2412yes—
1204#95C2411yescharacteristic
1205#95C2412yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2414yes—
1221C24—28no—
1222C24—44no—
1223C24—44no—
1224C24—44no—
1225C24—44no—
1226C24—44no—
1227C24—44no—
1228C24C2512yes—
1229C24C2514yes—
1230C24C2512yes—
1231C24C2514yes—
1232C24C2512yes—
1233#41—432no—
1234#41—816no—
1235C2×Q8—22no—
1236C2×Q8—24no—
1237C2×Q8—22no—
1238C2×Q8—24no—
1239C2×Q8—24no—
1240C2×Q8—24no—
1241C2×Q8—22no—
1242C2×Q8—22no—
1243C2×Q8—41no—
1244C2×Q8—42no—
1245C2×Q8—42no—
1246C2×Q8H(5,𝔽2)14yes—
1247C2×D4—28no—
1248C2×D4—28no—
1249C2×D4—28no—
1250C2×D4—28no—
1251C2×D4—22no—
1252C2×D4—24no—
1253C2×D4—22no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—28no—
1259C2×D4—24no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—28no—
1265C2×D4—22no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—22no—
1271C2×D4—24no—
1272C2×D4—28no—
1273C2×D4—24no—
1274C2×D4—22no—
1275C2×D4—24no—
1276C2×D4—22no—
1277C2×D4—28no—
1278C2×D4—44no—
1279C2×D4—42no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—42no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—42no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—816no—
1325C2×D4—816no—
1326C2×D4C2×#4114yes—
1327C22×C4—24no—
1328C22×C4—24no—
1329C22×C4—28no—
1330C22×C4—24no—
1331C22×C4—28no—
1332C22×C4—24no—
1333C22×C4—28no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—24no—
1340C22×C4—28no—
1341C22×C4—28no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4—42no—
1345C22×C4—42no—
1346C22×C4—44no—
1347C22×C4—44no—
1348C22×C4—44no—
1349C22×C4—44no—
1350C22×C4—42no—
1351C22×C4—44no—
1352C22×C4—42no—
1353C22×C4—44no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—44no—
1357C22×C4—44no—
1358C22×C4—44no—
1359C22×C4—44no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4C2×#4118yes—
1363C22×C4C2512yes—
1364C22×C4C2511yescharacteristic
1365C22×C4C2512yes—
1366C22×C4C2512yes—
1367C22×C4C2511yescharacteristic
1368C22×C4C2512yes—
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C22×C4C2512yes—
1372C22×C4C2511yescharacteristic
1373C22×C4C2511yescharacteristic
1374C22×C4C2514yes—
1375C22×C4C2512yes—
1376C22×C4C2512yes—
1377C22×C4C2512yes—
1378C22×C4C2511yescharacteristic
1379C22×C4C2512yes—
1380C22×C4C2514yes—
1381C22×C4C2511yescharacteristic
1382C22×C4C2512yes—
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C22×C4C2512yes—
1386C22×C4C2512yes—
1387C22×C4C2512yes—
1388C22×C4C2511yescharacteristic
1389C22×C4C2511yescharacteristic
1390C22×C4C2511yescharacteristic
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C4⋊C4—22no—
1394C4⋊C4—24no—
1395C4⋊C4—28no—
1396C4⋊C4—22no—
1397C4⋊C4—24no—
1398C4⋊C4—22no—
1399C4⋊C4—24no—
1400C4⋊C4—22no—
1401C4⋊C4—24no—
1402C4⋊C4—24no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—24no—
1406C4⋊C4—28no—
1407C4⋊C4—22no—
1408C4⋊C4—24no—
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—24no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—24no—
1418C4⋊C4—28no—
1419C4⋊C4—24no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—24no—
1423C4⋊C4—44no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—44no—
1436C4⋊C4—41no—
1437C4⋊C4—41no—
1438C4⋊C4—41no—
1439C4⋊C4—42no—
1440C4⋊C4—41no—
1441C4⋊C4—41no—
1442C4⋊C4—44no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—42no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4C2×#4114yes—
1452C4⋊C4H(5,𝔽2)14yes—
1453C22⋊C4—24no—
1454C22⋊C4—28no—
1455C22⋊C4—24no—
1456C22⋊C4—28no—
1457C22⋊C4—28no—
1458C22⋊C4—24no—
1459C22⋊C4—28no—
1460C22⋊C4—28no—
1461C22⋊C4—28no—
1462C22⋊C4—24no—
1463C22⋊C4—24no—
1464C22⋊C4—24no—
1465C22⋊C4—28no—
1466C22⋊C4—28no—
1467C22⋊C4—24no—
1468C22⋊C4—28no—
1469C22⋊C4—24no—
1470C22⋊C4—24no—
1471C22⋊C4—28no—
1472C22⋊C4—28no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—42no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—44no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—44no—
1498C22⋊C4—42no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4C2×#4118yes—
1526C42—24no—
1527C42—24no—
1528C42—22no—
1529C42—28no—
1530C42—24no—
1531C42—24no—
1532C42—22no—
1533C42—22no—
1534C42—22no—
1535C42—24no—
1536C42—22no—
1537C42—22no—
1538C42—22no—
1539C42—22no—
1540C42—22no—
1541C42—24no—
1542C42—22no—
1543C42—22no—
1544C42—22no—
1545C42—42no—
1546C42—44no—
1547C42—42no—
1548C42—44no—
1549C42—44no—
1550C42—41no—
1551C42—41no—
1552C42—42no—
1553C42—42no—
1554C42—41no—
1555C42—41no—
1556C42—44no—
1557C42—42no—
1558C42—41no—
1559C42C2×#4114yes—
1560C42H(5,𝔽2)14yes—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—22no—
1566C23—22no—
1567C23—22no—
1568C23—24no—
1569C23—22no—
1570C23—24no—
1571C23—22no—
1572C23—22no—
1573C23—24no—
1574C23—24no—
1575C23—22no—
1576C23—24no—
1577C23—24no—
1578C23—22no—
1579C23—24no—
1580C23—22no—
1581C23—22no—
1582C23—24no—
1583C23—22no—
1584C23—22no—
1585C23—24no—
1586C23—24no—
1587C23—24no—
1588C23—24no—
1589C23—22no—
1590C23—22no—
1591C23—22no—
1592C23—22no—
1593C23—24no—
1594C23—24no—
1595C23—88no—
1596C23—88no—
1597C23—88no—
1598C23—88no—
1599C23—88no—
1600C23—164no—
1601C23—164no—
1602C23C22×#4114yes—
1603C23C2611yescharacteristic
1604Q8—28no—
1605Q8—44no—
1606Q8—48no—
1607Q8—84no—
1608D4—28no—
1609D4—416no—
1610D4—48no—
1611D4—48no—
1612D4—44no—
1613D4—48no—
1614D4—44no—
1615D4—48no—
1616D4—84no—
1617D4—88no—
1618D4—84no—
1619D4—84no—
1620D4—88no—
1621D4—88no—
1622D4—88no—
1623D4—88no—
1624D4—88no—
1625D4—88no—
1626D4—84no—
1627D4—164no—
1628D4—164no—
1629D4—164no—
1630D4—164no—
1631D4—164no—
1632D4—164no—
1633D4—164no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—216no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—24no—
1653C2×C4—22no—
1654C2×C4—21no—
1655C2×C4—22no—
1656C2×C4—24no—
1657C2×C4—22no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—22no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—24no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—24no—
1679C2×C4—24no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—22no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—24no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—416no—
1713C2×C4—48no—
1714C2×C4—48no—
1715C2×C4—84no—
1716C2×C4—88no—
1717C2×C4—88no—
1718C2×C4—84no—
1719C2×C4—88no—
1720C2×C4—164no—
1721C2×C4—164no—
1722C2×C4—164no—
1723C2×C4C22×#4112yes—
1724C2×C4C22×#4114yes—
1725C2×C4C22×#4112yes—
1726C2×C4C22×#4112yes—
1727C2×C4C2×H(5,𝔽2)14yes—
1728C2×C4C2×H(5,𝔽2)12yes—
1729C2×C4C2×H(5,𝔽2)12yes—
1730C2×C4C2×H(5,𝔽2)14yes—
1731C2×C4C2×H(5,𝔽2)12yes—
1732C2×C4C2×H(5,𝔽2)12yes—
1733C2×C4C2×H(5,𝔽2)12yes—
1734C2×C4#58512yes—
1735C2×C4#58512yes—
1736C22—24no—
1737C22—24no—
1738C22—24no—
1739C22—42no—
1740C22—42no—
1741C22—42no—
1742C22—42no—
1743C22—42no—
1744C22—44no—
1745C22—44no—
1746C22—42no—
1747C22—44no—
1748C22—44no—
1749C22—42no—
1750C22—42no—
1751C22—44no—
1752C22—42no—
1753C22—44no—
1754C22—42no—
1755C22—44no—
1756C22—42no—
1757C22—44no—
1758C22—42no—
1759C22—42no—
1760C22—42no—
1761C22—44no—
1762C22—44no—
1763C22—44no—
1764C22—42no—
1765C22—44no—
1766C22—42no—
1767C22—44no—
1768C22—42no—
1769C22—42no—
1770C22—44no—
1771C22—1616no—
1772C22C23×#4111yescharacteristic
1773C22C22×H(5,𝔽2)11yescharacteristic
1774C22C22×H(5,𝔽2)11yescharacteristic
1775C22C22×H(5,𝔽2)11yescharacteristic
1776C22C2×#58511yescharacteristic
1777C22C2×#58511yescharacteristic
1778C22H(7,𝔽2)11yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—24no—
1783C4—24no—
1784C4—24no—
1785C4—22no—
1786C4—42no—
1787C4—41no—
1788C4—42no—
1789C4—41no—
1790C4—42no—
1791C4—41no—
1792C4—42no—
1793C4—41no—
1794C4—42no—
1795C4—42no—
1796C4—44no—
1797C4—44no—
1798C4—42no—
1799C4—41no—
1800C4—42no—
1801C4—41no—
1802C4—41no—
1803C4—42no—
1804C4—42no—
1805C4—41no—
1806C4—41no—
1807C4#350814yes—
1808C4#351314yes—
1809C2—44no—
1810C2—82no—
1811C2—84no—
1812C2—84no—
1813C2—82no—
1814C2#6274811yescharacteristic
1815C2C2×#351311yescharacteristic
1816C2C2×#350811yescharacteristic
1817C2#6291611yescharacteristic
1818C2#6292311yescharacteristic
1819C2#6301011yescharacteristic
1820C2#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. #59680C2semidirect
2. #59641C2semidirect
3. #59637C2semidirect
4. #59451C2semidirect
5. #59414C2semidirect
6. #49926C2semidirect
7. #48450C2semidirect
8. #46106C2semidirect
9. #45393C2semidirect
10. #45018C2semidirect
11. #45002C2semidirect
12. #44957C2semidirect
13. #42977C2semidirect
14. #42960C2semidirect
15. #42629C2semidirect
16. #42565C2semidirect
17. #40421C2semidirect
18. #39818C2semidirect
19. #39387C2semidirect
20. #39386C2semidirect
21. #39361C2semidirect
22. #38956C2semidirect
23. #38945C2semidirect
24. #36595C2semidirect
25. #36591C2semidirect
26. #36493C2semidirect
27. #36471C2semidirect
28. #36260C2semidirect
29. #35254C2semidirect
30. #35169C2semidirect
31. #34954C2semidirect
32. #34893C2semidirect
33. #34493C2semidirect
34. #34480C2semidirect
35. C4×#550C2semidirect
36. C2×#559C22semidirect
37. C2×#559C22semidirect
38. C2×#553C22semidirect
44. C2×#542C22semidirect
45. C2×#540C22semidirect
47. C2×C4×#41C22semidirect
49. #2861C22semidirect
51. #2858C22semidirect
53. #2854C22semidirect
54. #2854C22semidirect
55. #2850C22semidirect
56. #2837C22semidirect
57. #2828C22semidirect
58. #2803C22semidirect
59. #2797C22semidirect
60. #2773C22semidirect
61. #2752C22semidirect
62. #2748C22semidirect
63. #2741C22semidirect
64. #2730C22semidirect
65. #2714C22semidirect
66. #2714C22semidirect
67. #2710C22semidirect
68. #2706C22semidirect
69. #2706C22semidirect
70. #2705C22semidirect
71. #2705C22semidirect
72. #2705C22semidirect
73. #2703C22semidirect
74. #2703C22semidirect
75. #2703C22semidirect
76. #2701C22semidirect
77. #2696C22semidirect
78. #2693C22semidirect
79. #2688C22semidirect
80. #2678C22semidirect
81. #2678C22semidirect
82. #2678C22semidirect
83. #2673C22semidirect
84. #2673C22semidirect
85. #2671C22semidirect
86. #2670C22semidirect
87. #2670C22semidirect
90. #2668C22semidirect
91. #2663C22semidirect
92. #2661C22semidirect
93. #2661C22semidirect
94. #2649C22semidirect
95. #2624C22semidirect
96. #2624C22semidirect
97. #2620C22semidirect
99. #2619C22semidirect
100. #2619C22semidirect
101. #2602C22semidirect
102. #2602C22semidirect
103. #2596C22semidirect
104. #2595C22semidirect
105. #2593C22semidirect
106. #2593C22semidirect
107. #2589C22semidirect
108. #2587C22semidirect
109. #2584C22semidirect
110. #2582C22semidirect
112. #2580C22semidirect
113. #2571C22semidirect
114. #2570C22semidirect
115. #2568C22semidirect
117. #2559C22semidirect
118. #2557C22semidirect
119. #2557C22semidirect
120. #2555C22semidirect
121. #2555C22semidirect
122. #2554C22semidirect
123. #2553C22semidirect
124. #2553C22semidirect
125. #2550C22semidirect
130. #2548C22semidirect
131. #2548C22semidirect
132. #2548C22semidirect
133. #2544C22semidirect
134. #2544C22semidirect
139. #2541C22semidirect
140. #2541C22semidirect
141. #2541C22semidirect
144. #2540C22semidirect
147. #2539C22semidirect
148. #2538C22semidirect
149. #2535C22semidirect
150. #2535C22semidirect
151. #2522C22semidirect
152. #2521C22semidirect
153. #2516C22semidirect
156. #2513C22semidirect
157. #2513C22semidirect
158. #2513C22semidirect
159. #2512C22semidirect
160. #2512C22semidirect
161. #2509C22semidirect
162. #2507C22semidirect
163. #2504C22semidirect
165. #2501C22semidirect
166. #2499C22semidirect
167. #2491C22semidirect
168. #2489C22semidirect
169. #2472C22semidirect
170. #2471C22semidirect
171. #2471C22semidirect
172. #2465C22semidirect
173. #2464C22semidirect
174. #2464C22semidirect
175. #2456C22semidirect
176. #2456C22semidirect
177. #2456C22semidirect
178. #2456C22semidirect
179. #2455C22semidirect
184. #2448C22semidirect
185. #2448C22semidirect
186. #2448C22semidirect
187. #2448C22semidirect
188. #2448C22semidirect
189. #2447C22semidirect
192. #2445C22semidirect
193. #2445C22semidirect
194. #2445C22semidirect
195. #2445C22semidirect
196. #2445C22semidirect
197. #2445C22semidirect
198. #2445C22semidirect
206. #2431C22semidirect
209. #2428C22semidirect
210. #2428C22semidirect
211. #2427C22semidirect
212. #2427C22semidirect
213. #2427C22semidirect
214. #2426C22semidirect
215. #2424C22semidirect
216. #2423C22semidirect
217. #2422C22semidirect
218. #2418C22semidirect
219. #2418C22semidirect
220. #2418C22semidirect
221. #2418C22semidirect
222. #2418C22semidirect
223. #2416C22semidirect
224. #2414C22semidirect
225. #2412C22semidirect
226. #2396C22semidirect
227. #2396C22semidirect
228. #2395C22semidirect
229. #2395C22semidirect
230. #2376C22semidirect
232. #2367C22semidirect
235. #2366C22semidirect
236. #2366C22semidirect
237. #2366C22semidirect
238. #2366C22semidirect
239. #2365C22semidirect
242. #2363C22semidirect
243. #2363C22semidirect
244. #2363C22semidirect
245. #2362C22semidirect
246. #2361C22semidirect
247. #2360C22semidirect
248. #2358C22semidirect
249. #2357C22semidirect
250. #2355C22semidirect
253. #2354C22semidirect
254. Q8×C4⋊C4C22semidirect
255. D4×C4⋊C4C22semidirect
256. #2345C22semidirect
258. #2341C22semidirect
261. #2335C22semidirect
264. #2324C22semidirect
265. #2323C22semidirect
267. #2316C22semidirect
269. #2311C22semidirect
272. C4×C4⋊Q8C22semidirect
273. C4×C4⋊Q8C22semidirect
277. C4×#127C22semidirect
278. C4×#125C22semidirect
279. C4×#125C22semidirect
281. C4×#124C22semidirect
282. C4×#124C22semidirect
283. C4×#124C22semidirect
284. C4×C22⋊Q8C22semidirect
285. C4×#121C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. #2296C22semidirect
292. #2293C22semidirect
293. #2293C22semidirect
295. C42×Q8C22semidirect
296. C42×Q8C22semidirect
298. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#596802
#596412
#596372
#594512
#594142
#499262
#484502
#461062
#453932
#450182
#450022
#449572
#429772
#429602
#426292
#425652
#404212
#398182
#393872
#393862
#393612
#389562
#389452
#365952
#365912
#364932
#364712
#362602
#352542
#351692
#349542
#348932
#344932
#344802
C4×#5502