Finite Group Databasebeta

← #8463290

Subgroups — #8463290

Order 512.

5657 conjugacy classes of subgroups.

The subgroup lattice has 1869 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59815C211yesmaximal, characteristic, complemented
2#59412C211yesmaximal, characteristic, complemented
3#59410C211yesmaximal, characteristic, complemented
4#54005C214yesmaximal, complemented
5#53659C214yesmaximal, complemented
6#53427C214yesmaximal, complemented
7#53102C212yesmaximal, complemented
8#53066C212yesmaximal, complemented
9#48481C214yesmaximal, complemented
10#45608C212yesmaximal, complemented
11#45522C212yesmaximal, complemented
12#45084C212yesmaximal, complemented
13#44922C212yesmaximal, complemented
14#42889C212yesmaximal, complemented
15#42504C212yesmaximal, complemented
16#42438C212yesmaximal, complemented
17#42435C212yesmaximal, complemented
18#39888C212yesmaximal, complemented
19#39747C211yesmaximal, characteristic, complemented
20#39488C211yesmaximal, characteristic, complemented
21#39362C211yesmaximal, characteristic, complemented
22#39189C212yesmaximal, complemented
23#38956C211yesmaximal, characteristic, complemented
24#38024C212yesmaximal, complemented
25#37681C212yesmaximal, complemented
26#37627C211yesmaximal, characteristic, complemented
27#37341C212yesmaximal, complemented
28#37276C212yesmaximal, complemented
29#36594C211yesmaximal, characteristic, complemented
30#36260C211yesmaximal, characteristic, complemented
31#36127C211yesmaximal, characteristic, complemented
32#35206C211yesmaximal, characteristic, complemented
33#35171C211yesmaximal, characteristic, complemented
34#34934C211yesmaximal, characteristic, complemented
35#34918C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic, complemented
37C2×#556C2212yescomplemented
38C2×#550C2211yescharacteristic
39C2×#550C2212yescomplemented
40C2×#547C2211yescharacteristic
41C2×#547C2211yescharacteristic
42C2×#547C2211yescharacteristic, complemented
43C2×#546C2212yes—
44C2×#546C2212yes—
45C2×#546C2212yes—
46C2×D42C2211yescharacteristic
47C2×#540C2212yescomplemented
48C2×#535C2212yes—
49C2×#532C2212yes—
50C2×#529C2212yescomplemented
51#2868C2211yescharacteristic, complemented
52#2858C2211yescharacteristic
53#2858C2211yescharacteristic
54#2857C2212yescomplemented
55#2856C2212yes—
56#2856C2212yescomplemented
57#2855C2212yescomplemented
58#2854C2212yescomplemented
59#2851C2212yescomplemented
60#2837C2214yescomplemented
61#2829C2214yescomplemented
62#2828C2214yescomplemented
63#2827C2214yescomplemented
64#2818C2214yescomplemented
65#2813C2214yescomplemented
66#2813C2214yescomplemented
67#2812C2214yescomplemented
68#2803C2214yescomplemented
69#2800C2214yescomplemented
70#2797C2214yescomplemented
71#2796C2214yescomplemented
72#2780C2214yescomplemented
73#2780C2214yescomplemented
74#2780C2214yescomplemented
75#2777C2214yescomplemented
76#2768C2214yescomplemented
77#2756C2214yescomplemented
78#2718C2214yescomplemented
79#2718C2214yescomplemented
80#2714C2214yescomplemented
81#2714C2214yescomplemented
82#2714C2214yescomplemented
83#2714C2214yescomplemented
84#2708C2214yescomplemented
85#2708C2214yescomplemented
86#2707C2214yescomplemented
87#2707C2214yescomplemented
88#2706C2214yescomplemented
89#2705C2214yescomplemented
90#2705C2214yescomplemented
91#2705C2214yescomplemented
92#2703C2214yescomplemented
93#2703C2214yescomplemented
94#2703C2214yescomplemented
95#2699C2214yescomplemented
96#2695C2214yescomplemented
97#2691C2214yescomplemented
98#2691C2214yescomplemented
99#2691C2214yescomplemented
100#2688C2214yescomplemented
101#2685C2214yescomplemented
102#2682C2214yescomplemented
103#2682C2214yescomplemented
104#2681C2214yescomplemented
105#2678C2214yes—
106#2678C2214yes—
107#2678C2214yes—
108#2678C2214yescomplemented
109#2678C2214yescomplemented
110#2676C2214yescomplemented
111#2676C2214yescomplemented
112#2675C2214yescomplemented
113#2675C2214yescomplemented
114#2671C2214yescomplemented
115#2669C2214yescomplemented
116#2669C2214yescomplemented
117#2661C2214yescomplemented
118#2657C2212yescomplemented
119#2652C2214yescomplemented
120#2651C2214yescomplemented
121#2636C2214yescomplemented
122#2630C2214yescomplemented
123#2629C2212yescomplemented
124#2625C2212yescomplemented
125#2624C2212yes—
126#2622C2214yescomplemented
127#2620C2212yes—
128#2620C2212yes—
129#2620C2212yescomplemented
130#2619C2212yescomplemented
131#2619C2214yescomplemented
132#2617C2214yescomplemented
133#2602C2214yescomplemented
134#2598C2214yescomplemented
135#2597C2212yescomplemented
136#2595C2212yescomplemented
137#2592C2211yescharacteristic
138#2580C2211yescharacteristic, complemented
139#2570C2211yescharacteristic, complemented
140#2568C2211yescharacteristic, complemented
141#2554C2214yescomplemented
142#2554C2212yescomplemented
143#2554C2212yescomplemented
144#2552C2211yescharacteristic, complemented
145#2552C2211yescharacteristic, complemented
146#2548C2212yescomplemented
147#2548C2211yescharacteristic, complemented
148#2547C2211yescharacteristic
149#2547C2211yescharacteristic, complemented
150#2547C2212yescomplemented
151#2545C2212yescomplemented
152#2545C2212yescomplemented
153#2544C2211yescharacteristic
154#2544C2212yescomplemented
155#2542C2211yescharacteristic
156#2541C2211yescharacteristic
157#2541C2211yescharacteristic
158#2541C2211yescharacteristic
159#2541C2212yes—
160#2540C2212yes—
161#2540C2212yes—
162#2540C2212yescomplemented
163#2539C2214yes—
164#2539C2214yes—
165#2538C2211yescharacteristic
166#2538C2211yescharacteristic
167#2538C2212yescomplemented
168#2538C2212yescomplemented
169#2538C2212yescomplemented
170#2537C2211yescharacteristic
171#2537C2211yescharacteristic, complemented
172#2537C2212yescomplemented
173#2537C2212yescomplemented
174#2535C2212yes—
175#2534C2214yescomplemented
176#2516C2212yescomplemented
177#2515C2214yescomplemented
178#2513C2211yescharacteristic
179#2512C2212yescomplemented
180#2512C2212yescomplemented
181#2512C2211yescharacteristic, complemented
182#2512C2211yescharacteristic, complemented
183#2512C2212yescomplemented
184#2512C2212yescomplemented
185#2511C2211yescharacteristic, complemented
186#2511C2212yescomplemented
187#2504C2212yescomplemented
188#2502C2212yescomplemented
189#2501C2212yes—
190#2500C2212yes—
191#2497C2212yescomplemented
192#2495C2212yescomplemented
193#2490C2212yes—
194#2490C2212yescomplemented
195#2490C2212yescomplemented
196#2489C2212yescomplemented
197#2480C2214yescomplemented
198#2470C2214yescomplemented
199#2464C2214yescomplemented
200#2458C2212yescomplemented
201#2456C2214yescomplemented
202#2456C2214yescomplemented
203#2447C2212yes—
204#2447C2211yescharacteristic, complemented
205#2445C2211yescharacteristic
206#2445C2211yescharacteristic
207#2445C2211yescharacteristic
208#2445C2214yescomplemented
209#2437C2214yescomplemented
210#2435C2212yes—
211#2433C2212yes—
212#2433C2212yes—
213#2432C2212yes—
214#2432C2212yescomplemented
215#2432C2212yescomplemented
216#2432C2212yescomplemented
217#2431C2212yes—
218#2431C2212yes—
219#2431C2212yescomplemented
220#2431C2212yescomplemented
221#2431C2212yescomplemented
222#2429C2212yescomplemented
223#2429C2212yescomplemented
224#2428C2212yes—
225#2428C2212yescomplemented
226#2428C2212yescomplemented
227#2427C2212yescomplemented
228#2427C2212yescomplemented
229#2426C2212yescomplemented
230#2426C2212yescomplemented
231#2426C2212yescomplemented
232#2424C2214yes—
233#2424C2214yescomplemented
234#2424C2214yescomplemented
235#2423C2212yescomplemented
236#2423C2212yescomplemented
237#2422C2212yes—
238#2422C2212yescomplemented
239#2422C2214yescomplemented
240#2422C2214yescomplemented
241#2417C2212yescomplemented
242#2416C2212yes—
243#2416C2212yes—
244#2416C2212yes—
245#2416C2212yescomplemented
246#2414C2212yescomplemented
247#2414C2212yescomplemented
248#2414C2212yescomplemented
249#2412C2214yescomplemented
250#2411C2214yescomplemented
251#2408C2212yes—
252#2408C2212yes—
253#2408C2212yes—
254#2407C2212yes—
255#2407C2212yescomplemented
256#2407C2212yescomplemented
257#2407C2212yescomplemented
258#2407C2212yescomplemented
259#2398C2212yescomplemented
260#2395C2212yescomplemented
261#2392C2212yescomplemented
262#2392C2212yescomplemented
263#2377C2214yescomplemented
264#2354C2212yescomplemented
265#2354C2212yescomplemented
266#2352C2212yescomplemented
267D4×C4⋊C4C2212yescomplemented
268D4×C4⋊C4C2212yescomplemented
269D4×C4⋊C4C2212yescomplemented
270#2341C2212yes—
271D4×C22⋊C4C2212yes—
272#2326C2212yes—
273#2326C2212yescomplemented
274#2324C2212yescomplemented
275#2321C2214yescomplemented
276#2320C2212yescomplemented
277#2317C2212yescomplemented
278#2311C2212yescomplemented
279C4×C4⋊Q8C2211yescharacteristic, complemented
280C4×C4⋊Q8C2211yescharacteristic, complemented
281C4×#127C2211yescharacteristic
282C4×#127C2211yescharacteristic
283C4×#127C2211yescharacteristic
284C4×#127C2211yescharacteristic
285C4×#127C2211yescharacteristic, complemented
286C4×#124C2211yescharacteristic
287C4×#124C2211yescharacteristic, complemented
288C4×#123C2212yescomplemented
289C4×#121C2212yescomplemented
290#2295C2211yescharacteristic, complemented
291#2293C2211yescharacteristic
292#2293C2211yescharacteristic, complemented
293#2293C2211yescharacteristic, complemented
294C2×#390C2212yes—
295#2290C2212yescomplemented
296C42×Q8C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305#556—44no—
306#556—48no—
307#550—44no—
308#550—48no—
309#547—44no—
310#547—44no—
311#547—44no—
312#546—48no—
313#546—48no—
314#546—48no—
315D42—44no—
316#540—48no—
317#535—48no—
318#532—48no—
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2311yescharacteristic
321C2×C4⋊Q8C2312yes—
322C2×C4⋊Q8C2312yes—
323C2×#127C2311yescharacteristic
324C2×#127C2311yescharacteristic
325C2×#127C2311yescharacteristic
326C2×#127C2311yescharacteristic
327C2×#127C2311yescharacteristic
328C2×#127C2314yes—
329C2×#127C2312yes—
330C2×#127C2312yes—
331C2×#127C2312yes—
332#529—48no—
333C2×#126C2314yes—
334C2×#126C2312yes—
335C2×#126C2312yes—
336C2×#126C2314yes—
337C2×#126C2314yes—
338C2×#125C2312yes—
339C2×#125C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2311yescharacteristic
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2312yes—
346C2×#124C2312yes—
347C2×#124C2312yes—
348C2×#124C2312yes—
349C2×#124C2311yescharacteristic
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2312yes—
354C2×#123C2312yes—
355C2×#123C2314yes—
356C2×#123C2314yes—
357C2×#123C2314yes—
358C2×#123C2314yes—
359C2×#123C2312yes—
360C2×#123C2314yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2314yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2314yes—
377C2×#121C2314yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2314yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2314yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2312yes—
392C2×#121C2314yes—
393C2×#121C2312yes—
394C2×#121C2314yes—
395C2×#121C2314yes—
396C2×#121C2314yes—
397C2×#121C2312yes—
398C2×#121C2314yes—
399C2×#120C2314yes—
400C2×#120C2314yes—
401C2×#120C2314yes—
402C2×#120C2314yes—
403C2×#120C2314yes—
404C2×#120C2314yes—
405C2×#120C2314yes—
406C2×C4×Q8C2312yes—
407C2×C4×Q8C2311yescharacteristic
408C2×C4×Q8C2311yescharacteristic
409C2×C4×Q8C2311yescharacteristic
410C2×C4×Q8C2312yes—
411C2×C4×Q8C2312yes—
412C2×C4×Q8C2311yescharacteristic
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2311yescharacteristic
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2314yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2314yes—
435C2×C4×D4C2314yes—
436C2×C4×D4C2311yescharacteristic
437C2×#117C2312yes—
438C2×#117C2312yes—
439C2×#117C2312yes—
440C2×#117C2314yes—
441C2×#117C2312yes—
442C22×C4⋊C4C2312yes—
443C22×C4⋊C4C2312yes—
444C22×C4⋊C4C2312yes—
445C22×C22⋊C4C2314yes—
446C22×C22⋊C4C2314yes—
447C22×C22⋊C4C2314yes—
448C22×C42C2312yes—
449C22×C42C2312yes—
450#400C2314yes—
451#400C2312yes—
452#400C2312yes—
453#400C2314yes—
454#400C2314yes—
455#400C2314yes—
456#400C2312yes—
457#399C2314yes—
458#399C2314yes—
459#399C2312yes—
460#399C2314yes—
461#399C2314yes—
462#399C2314yes—
463#398C2312yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2312yes—
471#398C2312yes—
472#397C2312yes—
473#397C2314yes—
474#397C2314yes—
475#397C2312yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2312yes—
480#397C2312yes—
481#397C2312yes—
482#397C2312yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2312yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2312yes—
501#396C2312yes—
502#396C2312yes—
503#396C2312yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#394C2312yes—
511#394C2312yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2312yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2312yes—
527#394C2312yes—
528#394C2314yes—
529#394C2312yes—
530#394C2312yes—
531#394C2314yes—
532#394C2314yes—
533#394C2312yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2312yes—
543#394C2314yes—
544#394C2312yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#393C2312yes—
551#393C2312yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2312yes—
570#392C2312yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#391C2312yes—
577#391C2312yes—
578#391C2311yescharacteristic
579#391C2312yes—
580#391C2312yes—
581#391C2312yes—
582#391C2312yes—
583#391C2312yes—
584#391C2311yescharacteristic
585#391C2311yescharacteristic
586#391C2311yescharacteristic
587#390C2311yescharacteristic
588#390C2311yescharacteristic
589#390C2311yescharacteristic
590#390C2312yes—
591#390C2311yescharacteristic
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2311yescharacteristic
601#390C2311yescharacteristic
602#390C2311yescharacteristic
603#390C2311yescharacteristic
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2314yes—
609#390C2314yes—
610#390C2314yes—
611#390C2314yes—
612#390C2314yes—
613#390C2311yescharacteristic
614#390C2312yes—
615#390C2312yes—
616#390C2311yescharacteristic
617#390C2314yes—
618#390C2314yes—
619#390C2312yes—
620#390C2314yes—
621#390C2311yescharacteristic
622#390C2314yes—
623#390C2312yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2312yes—
629#390C2314yes—
630#390C2312yes—
631#390C2311yescharacteristic
632#390C2311yescharacteristic
633#390C2311yescharacteristic
634#390C2314yes—
635#390C2314yes—
636#390C2311yescharacteristic
637#390C2311yescharacteristic
638#390C2314yes—
639#390C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2311yescharacteristic
645#389C2311yescharacteristic
646#389C2314yes—
647#389C2314yes—
648#389C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2311yescharacteristic
652#389C2311yescharacteristic
653#389C2311yescharacteristic
654#389C2314yes—
655#389C2314yes—
656#389C2314yes—
657#389C2311yescharacteristic
658#389C2311yescharacteristic
659#389C2311yescharacteristic
660#389C2312yes—
661#388C2314yes—
662#388C2314yes—
663#388C2312yes—
664#388C2312yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2312yes—
670#388C2312yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2312yes—
676#388C2312yes—
677#388C2312yes—
678#388C2312yes—
679#388C2312yes—
680#388C2312yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2312yes—
687#388C2312yes—
688#388C2314yes—
689#388C2312yes—
690#388C2312yes—
691#388C2312yes—
692#388C2312yes—
693#387C2312yes—
694#387C2312yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2312yes—
699#387C2314yes—
700#387C2312yes—
701#387C2314yes—
702#387C2312yes—
703#387C2314yes—
704#387C2312yes—
705#386C2314yes—
706#386C2314yes—
707#386C2312yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2312yes—
714#386C2312yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2312yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2312yes—
728#386C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2312yes—
736#385C2312yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2312yes—
749#384C2311yescharacteristic
750#384C2311yescharacteristic
751#384C2311yescharacteristic
752#384C2311yescharacteristic
753#384C2311yescharacteristic
754#384C2312yes—
755#384C2312yes—
756#384C2312yes—
757#384C2312yes—
758#384C2312yes—
759#384C2312yes—
760#383C2314yes—
761#382C2312yes—
762#382C2311yescharacteristic
763#382C2311yescharacteristic
764#382C2314yes—
765#381C2314yes—
766#381C2312yes—
767#380C2314yes—
768#380C2314yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2314yes—
775#380C2312yes—
776#380C2314yes—
777#380C2314yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2314yes—
782#380C2314yes—
783#380C2312yes—
784#379C2314yes—
785#379C2314yes—
786#379C2314yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2311yescharacteristic
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
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⋊C4C2312yes—
821#376C2312yes—
822C43C2311yescharacteristic
823C43C2311yescharacteristic
824C43C2311yescharacteristic
825C25C2414yes—
826C2×#41—28no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—44no—
835C2×#41—44no—
836C2×#41—44no—
837C2×#41—44no—
838C22×Q8C2412yes—
839C22×Q8C2411yescharacteristic
840C22×Q8C2412yes—
841C22×Q8C2411yescharacteristic
842C22×D4—28no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4—44no—
847C22×D4—44no—
848C22×D4C2411yescharacteristic
849C22×D4C2412yes—
850C22×D4C2411yescharacteristic
851C22×D4C2412yes—
852C22×D4C2411yescharacteristic
853C22×D4C2411yescharacteristic
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2411yescharacteristic
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2412yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2414yes—
876C22×D4C2414yes—
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2412yes—
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2414yes—
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2414yes—
886C23×C4C2412yes—
887C23×C4C2412yes—
888C23×C4C2414yes—
889C23×C4C2414yes—
890C23×C4C2414yes—
891C4⋊Q8—24no—
892C4⋊Q8—24no—
893C4⋊Q8—44no—
894C4⋊Q8—44no—
895#127—24no—
896#127—24no—
897#127—24no—
898#127—24no—
899#127—42no—
900#127—44no—
901#127—44no—
902#127—48no—
903#127—44no—
904#126—48no—
905#126—44no—
906#126—44no—
907#126—48no—
908#126—48no—
909#125—44no—
910#125—44no—
911#124—28no—
912#124—24no—
913#124—28no—
914#124—42no—
915#124—44no—
916#124—44no—
917#124—44no—
918#124—44no—
919#124—44no—
920#124—44no—
921#123—44no—
922#123—48no—
923#123—48no—
924#123—48no—
925#123—48no—
926#123—48no—
927#123—44no—
928#123—48no—
929#123—48no—
930#123—48no—
931#123—44no—
932C22⋊Q8—44no—
933C22⋊Q8—48no—
934C22⋊Q8—44no—
935C22⋊Q8—44no—
936C22⋊Q8—44no—
937C22⋊Q8—44no—
938C22⋊Q8—44no—
939C22⋊Q8—44no—
940C22⋊Q8—44no—
941#121—48no—
942#121—48no—
943#121—48no—
944#121—48no—
945#121—48no—
946#121—44no—
947#121—44no—
948#121—48no—
949#121—48no—
950#121—48no—
951#121—48no—
952#121—48no—
953#121—48no—
954#121—48no—
955#121—44no—
956#121—44no—
957#121—44no—
958#121—44no—
959#121—44no—
960#121—44no—
961#121—44no—
962#121—44no—
963#121—44no—
964#121—44no—
965#121—44no—
966#121—44no—
967#121—44no—
968#121—44no—
969#121—48no—
970#120—48no—
971#120—48no—
972#120—48no—
973#120—48no—
974#120—48no—
975#120—48no—
976#120—48no—
977C4×Q8—24no—
978C4×Q8—28no—
979C4×Q8—24no—
980C4×Q8—24no—
981C4×Q8—42no—
982C4×Q8—44no—
983C4×Q8—44no—
984C4×D4—24no—
985C4×D4—28no—
986C4×D4—24no—
987C4×D4—28no—
988C4×D4—24no—
989C4×D4—24no—
990C4×D4—24no—
991C4×D4—28no—
992C4×D4—24no—
993C4×D4—24no—
994C4×D4—24no—
995C4×D4—44no—
996C4×D4—42no—
997C4×D4—48no—
998C4×D4—44no—
999C4×D4—44no—
1000C4×D4—44no—
1001C4×D4—44no—
1002C4×D4—44no—
1003C4×D4—44no—
1004C4×D4—44no—
1005C4×D4—44no—
1006C4×D4—48no—
1007C4×D4—48no—
1008#117—28no—
1009#117—44no—
1010#117—44no—
1011#117—48no—
1012#117—44no—
1013C2×C4⋊C4—44no—
1014C2×C4⋊C4—44no—
1015C2×C4⋊C4—44no—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2412yes—
1075C2×C22⋊C4—48no—
1076C2×C22⋊C4—48no—
1077C2×C22⋊C4—48no—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C42—44no—
1158C2×C42—44no—
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2412yes—
1162C2×C42C2414yes—
1163C2×C42C2412yes—
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2412yes—
1172C2×C42C2411yescharacteristic
1173C2×C42C2411yescharacteristic
1174C2×C42C2414yes—
1175C2×C42C2414yes—
1176C2×C42C2412yes—
1177C2×C42C2412yes—
1178C2×C42C2411yescharacteristic
1179C2×C42C2411yescharacteristic
1180C2×C42C2412yes—
1181C2×C42C2412yes—
1182C2×C42C2411yescharacteristic
1183C2×C42C2411yescharacteristic
1184C2×C42C2411yescharacteristic
1185C2×C42C2411yescharacteristic
1186C2×C42C2411yescharacteristic
1187C2×C42C2411yescharacteristic
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2414yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2411yescharacteristic
1214#95C2411yescharacteristic
1215#95C2411yescharacteristic
1216#95C2411yescharacteristic
1217#95C2411yescharacteristic
1218#95C2411yescharacteristic
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236C24—28no—
1237C24—44no—
1238C24—44no—
1239C24—44no—
1240C24—44no—
1241C24—44no—
1242C24—44no—
1243C24C2512yes—
1244C24C2514yes—
1245C24C2512yes—
1246C24C2512yes—
1247C24C2512yes—
1248C24C2512yes—
1249#41—816no—
1250#41—816no—
1251#41—816no—
1252#41—816no—
1253C2×Q8—22no—
1254C2×Q8—22no—
1255C2×Q8—22no—
1256C2×Q8—24no—
1257C2×Q8—24no—
1258C2×Q8—24no—
1259C2×Q8—22no—
1260C2×Q8—24no—
1261C2×Q8—24no—
1262C2×Q8—24no—
1263C2×Q8—22no—
1264C2×Q8—41no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—28no—
1270C2×D4—28no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—24no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—24no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—24no—
1281C2×D4—24no—
1282C2×D4—24no—
1283C2×D4—22no—
1284C2×D4—24no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—24no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—24no—
1291C2×D4—24no—
1292C2×D4—24no—
1293C2×D4—22no—
1294C2×D4—24no—
1295C2×D4—24no—
1296C2×D4—22no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—42no—
1301C2×D4—42no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—42no—
1305C2×D4—42no—
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—42no—
1321C2×D4—42no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—44no—
1326C2×D4—42no—
1327C2×D4—42no—
1328C2×D4—42no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
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—816no—
1352C2×D4—816no—
1353C2×D4H(5,𝔽2)14yes—
1354C22×C4—24no—
1355C22×C4—28no—
1356C22×C4—24no—
1357C22×C4—24no—
1358C22×C4—24no—
1359C22×C4—24no—
1360C22×C4—24no—
1361C22×C4—24no—
1362C22×C4—24no—
1363C22×C4—24no—
1364C22×C4—24no—
1365C22×C4—24no—
1366C22×C4—24no—
1367C22×C4—24no—
1368C22×C4—24no—
1369C22×C4—24no—
1370C22×C4—24no—
1371C22×C4—24no—
1372C22×C4—28no—
1373C22×C4—24no—
1374C22×C4—24no—
1375C22×C4—42no—
1376C22×C4—42no—
1377C22×C4—42no—
1378C22×C4—42no—
1379C22×C4—44no—
1380C22×C4—44no—
1381C22×C4—44no—
1382C22×C4—44no—
1383C22×C4—44no—
1384C22×C4—44no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—42no—
1390C22×C4—44no—
1391C22×C4—44no—
1392C22×C4—42no—
1393C22×C4—42no—
1394C22×C4—42no—
1395C22×C4—44no—
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2511yescharacteristic
1400C22×C4C2511yescharacteristic
1401C22×C4C2512yes—
1402C22×C4C2512yes—
1403C22×C4C2511yescharacteristic
1404C22×C4C2511yescharacteristic
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C22×C4C2512yes—
1408C22×C4C2514yes—
1409C22×C4C2512yes—
1410C22×C4C2512yes—
1411C22×C4C2514yes—
1412C22×C4C2512yes—
1413C22×C4C2512yes—
1414C22×C4C2511yescharacteristic
1415C22×C4C2512yes—
1416C22×C4C2514yes—
1417C22×C4C2511yescharacteristic
1418C22×C4C2511yescharacteristic
1419C22×C4C2511yescharacteristic
1420C22×C4C2511yescharacteristic
1421C22×C4C2511yescharacteristic
1422C22×C4C2511yescharacteristic
1423C22×C4C2511yescharacteristic
1424C22×C4C2511yescharacteristic
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—22no—
1432C4⋊C4—22no—
1433C4⋊C4—22no—
1434C4⋊C4—24no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—24no—
1440C4⋊C4—22no—
1441C4⋊C4—24no—
1442C4⋊C4—24no—
1443C4⋊C4—28no—
1444C4⋊C4—22no—
1445C4⋊C4—24no—
1446C4⋊C4—22no—
1447C4⋊C4—22no—
1448C4⋊C4—22no—
1449C4⋊C4—22no—
1450C4⋊C4—24no—
1451C4⋊C4—24no—
1452C4⋊C4—22no—
1453C4⋊C4—22no—
1454C4⋊C4—22no—
1455C4⋊C4—44no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4—42no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—44no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—42no—
1466C4⋊C4—42no—
1467C4⋊C4—42no—
1468C4⋊C4—44no—
1469C4⋊C4—44no—
1470C4⋊C4—42no—
1471C4⋊C4—42no—
1472C4⋊C4—42no—
1473C4⋊C4—41no—
1474C4⋊C4—44no—
1475C4⋊C4—44no—
1476C4⋊C4—44no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4—44no—
1481C4⋊C4—44no—
1482C4⋊C4—42no—
1483C4⋊C4—44no—
1484C22⋊C4—24no—
1485C22⋊C4—28no—
1486C22⋊C4—28no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—24no—
1490C22⋊C4—28no—
1491C22⋊C4—24no—
1492C22⋊C4—24no—
1493C22⋊C4—28no—
1494C22⋊C4—24no—
1495C22⋊C4—24no—
1496C22⋊C4—24no—
1497C22⋊C4—28no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—28no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—42no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4—42no—
1521C22⋊C4—42no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—42no—
1528C22⋊C4—42no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—42no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—42no—
1541C22⋊C4—42no—
1542C22⋊C4—42no—
1543C22⋊C4—42no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—42no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—42no—
1560C22⋊C4—42no—
1561C22⋊C4—42no—
1562C22⋊C4—42no—
1563C42—22no—
1564C42—22no—
1565C42—24no—
1566C42—24no—
1567C42—22no—
1568C42—22no—
1569C42—28no—
1570C42—22no—
1571C42—22no—
1572C42—24no—
1573C42—22no—
1574C42—22no—
1575C42—22no—
1576C42—22no—
1577C42—22no—
1578C42—42no—
1579C42—42no—
1580C42—42no—
1581C42—42no—
1582C42—41no—
1583C42—41no—
1584C42—41no—
1585C42—44no—
1586C42—44no—
1587C42—41no—
1588C42—41no—
1589C42H(5,𝔽2)14yes—
1590C42H(5,𝔽2)14yes—
1591C42H(5,𝔽2)14yes—
1592C23—22no—
1593C23—22no—
1594C23—22no—
1595C23—22no—
1596C23—22no—
1597C23—22no—
1598C23—24no—
1599C23—22no—
1600C23—22no—
1601C23—22no—
1602C23—22no—
1603C23—22no—
1604C23—22no—
1605C23—22no—
1606C23—22no—
1607C23—24no—
1608C23—22no—
1609C23—22no—
1610C23—22no—
1611C23—24no—
1612C23—22no—
1613C23—22no—
1614C23—22no—
1615C23—24no—
1616C23—22no—
1617C23—22no—
1618C23—22no—
1619C23—24no—
1620C23—22no—
1621C23—22no—
1622C23—22no—
1623C23—22no—
1624C23—22no—
1625C23—24no—
1626C23—22no—
1627C23—22no—
1628C23—22no—
1629C23—22no—
1630C23—22no—
1631C23—22no—
1632C23—24no—
1633C23—88no—
1634C23—88no—
1635C23—88no—
1636C23—88no—
1637C23—88no—
1638C23—164no—
1639C23—164no—
1640C23C2×H(5,𝔽2)14yes—
1641C23C2611yescharacteristic
1642Q8—44no—
1643Q8—48no—
1644Q8—48no—
1645Q8—44no—
1646D4—28no—
1647D4—48no—
1648D4—48no—
1649D4—48no—
1650D4—48no—
1651D4—44no—
1652D4—44no—
1653D4—44no—
1654D4—44no—
1655D4—48no—
1656D4—84no—
1657D4—84no—
1658D4—84no—
1659D4—84no—
1660D4—84no—
1661D4—88no—
1662D4—88no—
1663D4—84no—
1664D4—88no—
1665D4—88no—
1666D4—88no—
1667D4—88no—
1668D4—164no—
1669D4—164no—
1670D4—164no—
1671D4—164no—
1672D4—164no—
1673D4—164no—
1674D4—164no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—24no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—24no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—24no—
1709C2×C4—24no—
1710C2×C4—24no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—24no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—24no—
1725C2×C4—24no—
1726C2×C4—22no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—22no—
1735C2×C4—24no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—48no—
1751C2×C4—48no—
1752C2×C4—48no—
1753C2×C4—48no—
1754C2×C4—48no—
1755C2×C4—84no—
1756C2×C4—88no—
1757C2×C4—84no—
1758C2×C4—84no—
1759C2×C4—84no—
1760C2×C4—88no—
1761C2×C4—88no—
1762C2×C4—88no—
1763C2×C4—88no—
1764C2×C4C2×H(5,𝔽2)12yes—
1765C2×C4C2×H(5,𝔽2)12yes—
1766C2×C4C2×H(5,𝔽2)12yes—
1767C2×C4C2×H(5,𝔽2)12yes—
1768C2×C4C2×H(5,𝔽2)12yes—
1769C2×C4C2×H(5,𝔽2)12yes—
1770C2×C4C2×H(5,𝔽2)12yes—
1771C2×C4C2×H(5,𝔽2)12yes—
1772C2×C4C2×H(5,𝔽2)12yes—
1773C2×C4C2×H(5,𝔽2)12yes—
1774C2×C4#58512yes—
1775C2×C4#58512yes—
1776C22—24no—
1777C22—24no—
1778C22—24no—
1779C22—42no—
1780C22—42no—
1781C22—42no—
1782C22—42no—
1783C22—42no—
1784C22—42no—
1785C22—42no—
1786C22—42no—
1787C22—44no—
1788C22—42no—
1789C22—42no—
1790C22—44no—
1791C22—42no—
1792C22—42no—
1793C22—42no—
1794C22—42no—
1795C22—42no—
1796C22—42no—
1797C22—44no—
1798C22—44no—
1799C22—42no—
1800C22—42no—
1801C22—42no—
1802C22—42no—
1803C22—42no—
1804C22—42no—
1805C22—42no—
1806C22—44no—
1807C22—42no—
1808C22—42no—
1809C22—42no—
1810C22—42no—
1811C22—42no—
1812C22—44no—
1813C22—44no—
1814C22—42no—
1815C22—42no—
1816C22—42no—
1817C22—42no—
1818C22—1616no—
1819C22C22×H(5,𝔽2)11yescharacteristic
1820C22C22×H(5,𝔽2)11yescharacteristic
1821C22C22×H(5,𝔽2)11yescharacteristic
1822C22C22×H(5,𝔽2)11yescharacteristic
1823C22C2×#58511yescharacteristic
1824C22C2×#58511yescharacteristic
1825C222−1+611yescharacteristic
1826C4—22no—
1827C4—22no—
1828C4—22no—
1829C4—22no—
1830C4—22no—
1831C4—22no—
1832C4—42no—
1833C4—42no—
1834C4—44no—
1835C4—44no—
1836C4—42no—
1837C4—42no—
1838C4—42no—
1839C4—42no—
1840C4—42no—
1841C4—41no—
1842C4—41no—
1843C4—42no—
1844C4—44no—
1845C4—41no—
1846C4—41no—
1847C4—42no—
1848C4—42no—
1849C4—41no—
1850C4—41no—
1851C4—41no—
1852C4—42no—
1853C4#354314yes—
1854C4#354614yes—
1855C2—44no—
1856C2—82no—
1857C2—82no—
1858C2—82no—
1859C2—84no—
1860C2—82no—
1861C2C2×#354311yescharacteristic
1862C2C2×#354611yescharacteristic
1863C2#6283411yescharacteristic
1864C2#6291411yescharacteristic
1865C2#6292511yescharacteristic
1866C2#6293111yescharacteristic
1867C2#6301811yescharacteristic
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. #59815C2semidirect
2. #59412C2semidirect
3. #59410C2semidirect
4. #54005C2semidirect
5. #53659C2semidirect
6. #53427C2semidirect
7. #53102C2semidirect
8. #53066C2semidirect
9. #48481C2semidirect
10. #45608C2semidirect
11. #45522C2semidirect
12. #45084C2semidirect
13. #44922C2semidirect
14. #42889C2semidirect
15. #42504C2semidirect
16. #42438C2semidirect
17. #42435C2semidirect
18. #39888C2semidirect
19. #39747C2semidirect
20. #39488C2semidirect
21. #39362C2semidirect
22. #39189C2semidirect
23. #38956C2semidirect
24. #38024C2semidirect
25. #37681C2semidirect
26. #37627C2semidirect
27. #37341C2semidirect
28. #37276C2semidirect
29. #36594C2semidirect
30. #36260C2semidirect
31. #36127C2semidirect
32. #35206C2semidirect
33. #35171C2semidirect
34. #34934C2semidirect
35. #34918C2semidirect
36. C2×#556C22semidirect
37. C2×#556C22semidirect
39. C2×#550C22semidirect
42. C2×#547C22semidirect
47. C2×#540C22semidirect
50. C2×#529C22semidirect
51. #2868C22semidirect
54. #2857C22semidirect
56. #2856C22semidirect
57. #2855C22semidirect
58. #2854C22semidirect
59. #2851C22semidirect
60. #2837C22semidirect
61. #2829C22semidirect
62. #2828C22semidirect
63. #2827C22semidirect
64. #2818C22semidirect
65. #2813C22semidirect
66. #2813C22semidirect
67. #2812C22semidirect
68. #2803C22semidirect
69. #2800C22semidirect
70. #2797C22semidirect
71. #2796C22semidirect
72. #2780C22semidirect
73. #2780C22semidirect
74. #2780C22semidirect
75. #2777C22semidirect
76. #2768C22semidirect
77. #2756C22semidirect
78. #2718C22semidirect
79. #2718C22semidirect
80. #2714C22semidirect
81. #2714C22semidirect
82. #2714C22semidirect
83. #2714C22semidirect
84. #2708C22semidirect
85. #2708C22semidirect
86. #2707C22semidirect
87. #2707C22semidirect
88. #2706C22semidirect
89. #2705C22semidirect
90. #2705C22semidirect
91. #2705C22semidirect
92. #2703C22semidirect
93. #2703C22semidirect
94. #2703C22semidirect
95. #2699C22semidirect
96. #2695C22semidirect
97. #2691C22semidirect
98. #2691C22semidirect
99. #2691C22semidirect
100. #2688C22semidirect
101. #2685C22semidirect
102. #2682C22semidirect
103. #2682C22semidirect
104. #2681C22semidirect
108. #2678C22semidirect
109. #2678C22semidirect
110. #2676C22semidirect
111. #2676C22semidirect
112. #2675C22semidirect
113. #2675C22semidirect
114. #2671C22semidirect
115. #2669C22semidirect
116. #2669C22semidirect
117. #2661C22semidirect
118. #2657C22semidirect
119. #2652C22semidirect
120. #2651C22semidirect
121. #2636C22semidirect
122. #2630C22semidirect
123. #2629C22semidirect
124. #2625C22semidirect
126. #2622C22semidirect
129. #2620C22semidirect
130. #2619C22semidirect
131. #2619C22semidirect
132. #2617C22semidirect
133. #2602C22semidirect
134. #2598C22semidirect
135. #2597C22semidirect
136. #2595C22semidirect
138. #2580C22semidirect
139. #2570C22semidirect
140. #2568C22semidirect
141. #2554C22semidirect
142. #2554C22semidirect
143. #2554C22semidirect
144. #2552C22semidirect
145. #2552C22semidirect
146. #2548C22semidirect
147. #2548C22semidirect
149. #2547C22semidirect
150. #2547C22semidirect
151. #2545C22semidirect
152. #2545C22semidirect
154. #2544C22semidirect
162. #2540C22semidirect
167. #2538C22semidirect
168. #2538C22semidirect
169. #2538C22semidirect
171. #2537C22semidirect
172. #2537C22semidirect
173. #2537C22semidirect
175. #2534C22semidirect
176. #2516C22semidirect
177. #2515C22semidirect
179. #2512C22semidirect
180. #2512C22semidirect
181. #2512C22semidirect
182. #2512C22semidirect
183. #2512C22semidirect
184. #2512C22semidirect
185. #2511C22semidirect
186. #2511C22semidirect
187. #2504C22semidirect
188. #2502C22semidirect
191. #2497C22semidirect
192. #2495C22semidirect
194. #2490C22semidirect
195. #2490C22semidirect
196. #2489C22semidirect
197. #2480C22semidirect
198. #2470C22semidirect
199. #2464C22semidirect
200. #2458C22semidirect
201. #2456C22semidirect
202. #2456C22semidirect
204. #2447C22semidirect
208. #2445C22semidirect
209. #2437C22semidirect
214. #2432C22semidirect
215. #2432C22semidirect
216. #2432C22semidirect
219. #2431C22semidirect
220. #2431C22semidirect
221. #2431C22semidirect
222. #2429C22semidirect
223. #2429C22semidirect
225. #2428C22semidirect
226. #2428C22semidirect
227. #2427C22semidirect
228. #2427C22semidirect
229. #2426C22semidirect
230. #2426C22semidirect
231. #2426C22semidirect
233. #2424C22semidirect
234. #2424C22semidirect
235. #2423C22semidirect
236. #2423C22semidirect
238. #2422C22semidirect
239. #2422C22semidirect
240. #2422C22semidirect
241. #2417C22semidirect
245. #2416C22semidirect
246. #2414C22semidirect
247. #2414C22semidirect
248. #2414C22semidirect
249. #2412C22semidirect
250. #2411C22semidirect
255. #2407C22semidirect
256. #2407C22semidirect
257. #2407C22semidirect
258. #2407C22semidirect
259. #2398C22semidirect
260. #2395C22semidirect
261. #2392C22semidirect
262. #2392C22semidirect
263. #2377C22semidirect
264. #2354C22semidirect
265. #2354C22semidirect
266. #2352C22semidirect
267. D4×C4⋊C4C22semidirect
268. D4×C4⋊C4C22semidirect
269. D4×C4⋊C4C22semidirect
273. #2326C22semidirect
274. #2324C22semidirect
275. #2321C22semidirect
276. #2320C22semidirect
277. #2317C22semidirect
278. #2311C22semidirect
279. C4×C4⋊Q8C22semidirect
280. C4×C4⋊Q8C22semidirect
285. C4×#127C22semidirect
287. C4×#124C22semidirect
288. C4×#123C22semidirect
289. C4×#121C22semidirect
290. #2295C22semidirect
292. #2293C22semidirect
293. #2293C22semidirect
295. #2290C22semidirect
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
#598152
#594122
#594102
#540052
#536592
#534272
#531022
#530662
#484812
#456082
#455222
#450842
#449222
#428892
#425042
#424382
#424352
#398882
#397472
#394882
#393622
#391892
#389562
#380242
#376812
#376272
#373412
#372762
#365942
#362602
#361272
#352062
#351712
#349342
#349182