Finite Group Databasebeta

← #8424443

Subgroups — #8424443

Order 512.

5663 conjugacy classes of subgroups.

The subgroup lattice has 1907 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59678C211yesmaximal, characteristic, complemented
2#59046C212yesmaximal, complemented
3#59040C211yesmaximal, characteristic, complemented
4#59038C212yesmaximal, complemented
5#59035C211yesmaximal, characteristic, complemented
6#54845C214yesmaximal, complemented
7#54406C214yesmaximal, complemented
8#53096C212yesmaximal, complemented
9#53044C212yesmaximal, complemented
10#53000C212yesmaximal, complemented
11#52956C212yesmaximal, complemented
12#52597C214yesmaximal, complemented
13#42988C212yesmaximal, complemented
14#42635C212yesmaximal, complemented
15#42438C212yesmaximal, complemented
16#42432C212yesmaximal, complemented
17#41246C214yesmaximal, complemented
18#40125C212yesmaximal, complemented
19#39926C212yesmaximal, complemented
20#39352C211yesmaximal, characteristic, complemented
21#39342C211yesmaximal, characteristic, complemented
22#39340C211yesmaximal, characteristic, complemented
23#39334C212yesmaximal, complemented
24#39156C211yesmaximal, characteristic, complemented
25#37775C212yesmaximal, complemented
26#37640C211yesmaximal, characteristic, complemented
27#37621C212yesmaximal, complemented
28#37618C211yesmaximal, characteristic, complemented
29#37492C212yesmaximal, complemented
30#36260C211yesmaximal, characteristic, complemented
31#36150C211yesmaximal, characteristic, complemented
32#36115C211yesmaximal, characteristic, complemented
33#34932C211yesmaximal, characteristic, complemented
34#34925C211yesmaximal, characteristic, complemented
35#34917C211yesmaximal, characteristic, complemented
36C2×#547C2211yescharacteristic
37C2×#546C2212yes—
38C2×#546C2212yes—
39C2×#546C2212yes—
40C2×D42C2211yescharacteristic
41C2×#540C2212yescomplemented
42C2×#537C2212yes—
43C2×#535C2212yes—
44C2×#533C2211yescharacteristic, complemented
45C2×#532C2211yescharacteristic
46C2×#532C2211yescharacteristic
47C2×#532C2212yescomplemented
48C2×#532C2211yescharacteristic, complemented
49C2×#529C2212yescomplemented
50C2×#529C2212yescomplemented
51#2858C2211yescharacteristic
52#2857C2211yescharacteristic, complemented
53#2856C2211yescharacteristic
54#2856C2212yes—
55#2850C2212yescomplemented
56#2838C2214yescomplemented
57#2830C2214yescomplemented
58#2829C2214yescomplemented
59#2829C2214yescomplemented
60#2828C2214yescomplemented
61#2826C2214yescomplemented
62#2825C2214yescomplemented
63#2820C2214yescomplemented
64#2815C2214yescomplemented
65#2813C2214yescomplemented
66#2813C2214yescomplemented
67#2813C2214yescomplemented
68#2813C2214yescomplemented
69#2812C2214yescomplemented
70#2803C2214yescomplemented
71#2796C2214yescomplemented
72#2784C2214yescomplemented
73#2777C2214yescomplemented
74#2773C2214yescomplemented
75#2748C2214yescomplemented
76#2742C2214yescomplemented
77#2740C2214yescomplemented
78#2717C2214yescomplemented
79#2714C2214yescomplemented
80#2714C2214yescomplemented
81#2709C2214yescomplemented
82#2706C2214yescomplemented
83#2706C2214yescomplemented
84#2705C2214yescomplemented
85#2705C2214yescomplemented
86#2703C2214yescomplemented
87#2703C2214yescomplemented
88#2694C2214yescomplemented
89#2693C2214yescomplemented
90#2686C2214yescomplemented
91#2682C2214yescomplemented
92#2682C2214yescomplemented
93#2678C2214yescomplemented
94#2678C2214yescomplemented
95#2678C2214yescomplemented
96#2674C2214yescomplemented
97#2673C2214yescomplemented
98#2673C2214yescomplemented
99#2672C2214yescomplemented
100#2671C2214yescomplemented
101#2671C2214yescomplemented
102#2670C2214yes—
103#2669C2214yes—
104#2669C2214yescomplemented
105#2668C2214yes—
106#2668C2214yescomplemented
107#2663C2214yescomplemented
108#2662C2214yescomplemented
109#2662C2214yescomplemented
110#2657C2212yescomplemented
111#2651C2214yescomplemented
112#2644C2212yes—
113#2640C2212yescomplemented
114#2631C2214yescomplemented
115#2628C2214yescomplemented
116#2626C2214yescomplemented
117#2624C2214yescomplemented
118#2624C2212yescomplemented
119#2622C2214yescomplemented
120#2620C2212yes—
121#2620C2212yescomplemented
122#2619C2214yescomplemented
123#2617C2214yescomplemented
124#2616C2212yescomplemented
125#2616C2212yescomplemented
126#2616C2212yescomplemented
127#2615C2212yes—
128#2615C2212yescomplemented
129#2615C2212yescomplemented
130#2597C2214yescomplemented
131#2578C2212yescomplemented
132#2576C2212yescomplemented
133#2570C2211yescharacteristic, complemented
134#2567C2212yescomplemented
135#2566C2211yescharacteristic
136#2562C2212yescomplemented
137#2562C2211yescharacteristic, complemented
138#2559C2214yescomplemented
139#2555C2212yescomplemented
140#2555C2212yescomplemented
141#2555C2214yescomplemented
142#2553C2214yescomplemented
143#2552C2211yescharacteristic, complemented
144#2551C2211yescharacteristic, complemented
145#2548C2212yes—
146#2547C2211yescharacteristic
147#2547C2211yescharacteristic, complemented
148#2547C2211yescharacteristic, complemented
149#2544C2212yes—
150#2542C2211yescharacteristic
151#2542C2211yescharacteristic
152#2542C2211yescharacteristic, complemented
153#2541C2211yescharacteristic
154#2541C2211yescharacteristic
155#2541C2212yes—
156#2541C2211yescharacteristic
157#2541C2211yescharacteristic
158#2540C2212yes—
159#2540C2212yes—
160#2540C2212yescomplemented
161#2540C2212yescomplemented
162#2539C2214yes—
163#2539C2214yes—
164#2539C2214yescomplemented
165#2538C2212yescomplemented
166#2538C2212yescomplemented
167#2538C2212yescomplemented
168#2538C2212yescomplemented
169#2537C2212yes—
170#2537C2211yescharacteristic
171#2537C2211yescharacteristic, complemented
172#2537C2212yescomplemented
173#2537C2212yescomplemented
174#2535C2211yescharacteristic
175#2535C2212yescomplemented
176#2535C2212yescomplemented
177#2515C2212yescomplemented
178#2512C2212yescomplemented
179#2511C2212yescomplemented
180#2501C2212yes—
181#2501C2212yescomplemented
182#2499C2212yescomplemented
183#2497C2211yescharacteristic, complemented
184#2497C2212yescomplemented
185#2496C2212yescomplemented
186#2494C2211yescharacteristic, complemented
187#2491C2211yescharacteristic
188#2491C2212yes—
189#2491C2212yescomplemented
190#2491C2211yescharacteristic, complemented
191#2490C2212yes—
192#2490C2212yescomplemented
193#2489C2212yescomplemented
194#2487C2212yescomplemented
195#2485C2212yescomplemented
196#2480C2214yescomplemented
197#2472C2214yescomplemented
198#2471C2214yescomplemented
199#2471C2214yescomplemented
200#2471C2214yescomplemented
201#2471C2214yescomplemented
202#2470C2214yescomplemented
203#2467C2214yescomplemented
204#2457C2212yescomplemented
205#2456C2214yescomplemented
206#2454C2212yescomplemented
207#2454C2212yescomplemented
208#2448C2212yes—
209#2448C2212yescomplemented
210#2445C2212yescomplemented
211#2445C2212yescomplemented
212#2440C2212yescomplemented
213#2435C2212yes—
214#2433C2212yes—
215#2433C2212yes—
216#2431C2212yescomplemented
217#2431C2212yescomplemented
218#2428C2211yescharacteristic
219#2428C2212yescomplemented
220#2428C2214yescomplemented
221#2428C2212yescomplemented
222#2428C2211yescharacteristic, complemented
223#2427C2212yes—
224#2427C2212yescomplemented
225#2427C2212yescomplemented
226#2427C2212yescomplemented
227#2426C2212yescomplemented
228#2426C2212yescomplemented
229#2426C2212yescomplemented
230#2426C2212yescomplemented
231#2424C2214yescomplemented
232#2423C2212yescomplemented
233#2422C2211yescharacteristic
234#2422C2212yes—
235#2422C2212yes—
236#2422C2212yescomplemented
237#2421C2212yescomplemented
238#2420C2211yescharacteristic
239#2418C2214yes—
240#2417C2212yescomplemented
241#2417C2212yescomplemented
242#2416C2212yescomplemented
243#2416C2212yescomplemented
244#2415C2212yescomplemented
245#2414C2212yes—
246#2414C2214yescomplemented
247#2414C2212yescomplemented
248#2414C2214yescomplemented
249#2412C2214yescomplemented
250#2411C2214yescomplemented
251#2408C2212yes—
252#2408C2212yes—
253#2408C2212yes—
254#2407C2212yes—
255#2407C2212yes—
256#2407C2212yes—
257#2407C2212yescomplemented
258#2401C2212yescomplemented
259#2395C2214yescomplemented
260#2392C2212yescomplemented
261#2388C2212yescomplemented
262#2388C2212yescomplemented
263#2367C2212yescomplemented
264#2367C2212yescomplemented
265#2366C2211yescharacteristic
266#2366C2212yescomplemented
267#2365C2211yescharacteristic, complemented
268#2363C2212yescomplemented
269#2360C2212yescomplemented
270#2358C2214yescomplemented
271#2354C2211yescharacteristic
272#2354C2212yescomplemented
273#2352C2212yescomplemented
274D4×C4⋊C4C2211yescharacteristic, complemented
275#2341C2212yes—
276#2341C2212yescomplemented
277D4×C22⋊C4C2212yes—
278#2335C2214yescomplemented
279#2330C2212yescomplemented
280C4×C4⋊Q8C2211yescharacteristic, complemented
281C4×#127C2211yescharacteristic
282C4×#125C2211yescharacteristic, complemented
283C4×C22⋊Q8C2212yescomplemented
284C4×#123C2212yescomplemented
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#121C2212yes—
289C4×#121C2212yescomplemented
290C4×#121C2211yescharacteristic, complemented
291C2×#390C2212yes—
292#2290C2212yescomplemented
293#2285C2211yescharacteristic, complemented
294#2285C2212yescomplemented
295#2283C2211yescharacteristic, complemented
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic, complemented
298C42×D4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305#547—44no—
306#546—48no—
307#546—48no—
308#546—48no—
309D42—44no—
310#540—48no—
311#537—48no—
312#535—48no—
313#533—44no—
314#532—44no—
315#532—48no—
316#532—44no—
317#532—44no—
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2311yescharacteristic
321C2×C4⋊Q8C2312yes—
322C2×C4⋊Q8C2311yescharacteristic
323C2×#127C2311yescharacteristic
324C2×#127C2311yescharacteristic
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2311yescharacteristic
329C2×#127C2314yes—
330C2×#127C2311yescharacteristic
331#529—48no—
332#529—48no—
333C2×#126C2314yes—
334C2×#126C2314yes—
335C2×#125C2311yescharacteristic
336C2×#125C2312yes—
337C2×#125C2312yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2312yes—
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2312yes—
346C2×#124C2312yes—
347C2×#124C2312yes—
348C2×#124C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×#123C2314yes—
355C2×#123C2314yes—
356C2×#123C2314yes—
357C2×#123C2312yes—
358C2×#123C2314yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2314yes—
369C2×C22⋊Q8C2312yes—
370C2×#121C2311yescharacteristic
371C2×#121C2312yes—
372C2×#121C2311yescharacteristic
373C2×#121C2311yescharacteristic
374C2×#121C2311yescharacteristic
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2314yes—
381C2×#121C2312yes—
382C2×#121C2314yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2311yescharacteristic
391C2×#121C2311yescharacteristic
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2314yes—
396C2×#121C2314yes—
397C2×#121C2314yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#121C2314yes—
402C2×#121C2312yes—
403C2×#121C2311yescharacteristic
404C2×#121C2312yes—
405C2×#121C2311yescharacteristic
406C2×#121C2312yes—
407C2×#120C2314yes—
408C2×#120C2314yes—
409C2×#120C2314yes—
410C2×#120C2314yes—
411C2×#120C2314yes—
412C2×#120C2314yes—
413C2×#120C2314yes—
414C2×C4×Q8C2312yes—
415C2×C4×Q8C2312yes—
416C2×C4×Q8C2312yes—
417C2×C4×Q8C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2312yes—
424C2×C4×D4C2311yescharacteristic
425C2×C4×D4C2311yescharacteristic
426C2×C4×D4C2311yescharacteristic
427C2×C4×D4C2311yescharacteristic
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2314yes—
433C2×C4×D4C2314yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2311yescharacteristic
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2311yescharacteristic
444C2×#117C2312yes—
445C2×#117C2314yes—
446C2×#117C2312yes—
447C2×#117C2312yes—
448C2×#117C2314yes—
449C22×C4⋊C4C2312yes—
450C22×C4⋊C4C2312yes—
451C22×C22⋊C4C2314yes—
452C22×C22⋊C4C2314yes—
453C22×C22⋊C4C2314yes—
454C22×C42C2312yes—
455C22×C42C2311yescharacteristic
456C22×C42C2311yescharacteristic
457C22×C42C2312yes—
458#401C2312yes—
459#400C2312yes—
460#400C2314yes—
461#400C2312yes—
462#400C2314yes—
463#400C2314yes—
464#400C2312yes—
465#400C2314yes—
466#399C2314yes—
467#399C2314yes—
468#399C2314yes—
469#399C2314yes—
470#399C2314yes—
471#399C2314yes—
472#399C2314yes—
473#399C2314yes—
474#399C2314yes—
475#399C2314yes—
476#398C2312yes—
477#398C2314yes—
478#398C2314yes—
479#398C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2312yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2312yes—
492#397C2312yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2312yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2312yes—
505#396C2312yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2312yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#395C2314yes—
516#395C2314yes—
517#395C2314yes—
518#395C2312yes—
519#395C2312yes—
520#394C2312yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2312yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2312yes—
535#394C2312yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2312yes—
543#394C2312yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2312yes—
550#394C2312yes—
551#394C2312yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#393C2312yes—
560#393C2314yes—
561#393C2314yes—
562#393C2314yes—
563#393C2312yes—
564#392C2312yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2312yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2312yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2312yes—
585#392C2312yes—
586#392C2312yes—
587#392C2312yes—
588#392C2314yes—
589#392C2314yes—
590#392C2314yes—
591#392C2314yes—
592#391C2312yes—
593#391C2312yes—
594#391C2312yes—
595#391C2312yes—
596#391C2312yes—
597#391C2312yes—
598#390C2312yes—
599#390C2311yescharacteristic
600#390C2311yescharacteristic
601#390C2312yes—
602#390C2311yescharacteristic
603#390C2311yescharacteristic
604#390C2314yes—
605#390C2314yes—
606#390C2314yes—
607#390C2314yes—
608#390C2312yes—
609#390C2312yes—
610#390C2314yes—
611#390C2314yes—
612#390C2312yes—
613#390C2312yes—
614#390C2314yes—
615#390C2314yes—
616#390C2312yes—
617#390C2312yes—
618#390C2314yes—
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2312yes—
623#390C2312yes—
624#390C2314yes—
625#390C2314yes—
626#390C2314yes—
627#390C2312yes—
628#390C2312yes—
629#390C2312yes—
630#390C2314yes—
631#390C2312yes—
632#390C2314yes—
633#390C2311yescharacteristic
634#390C2314yes—
635#390C2312yes—
636#390C2311yescharacteristic
637#389C2311yescharacteristic
638#389C2311yescharacteristic
639#389C2312yes—
640#389C2312yes—
641#389C2314yes—
642#389C2314yes—
643#389C2311yescharacteristic
644#389C2311yescharacteristic
645#389C2314yes—
646#389C2311yescharacteristic
647#389C2312yes—
648#389C2314yes—
649#389C2314yes—
650#389C2312yes—
651#389C2312yes—
652#389C2311yescharacteristic
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#388C2312yes—
658#388C2312yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2312yes—
664#388C2314yes—
665#388C2312yes—
666#388C2312yes—
667#388C2314yes—
668#388C2312yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2312yes—
679#388C2314yes—
680#388C2312yes—
681#388C2312yes—
682#388C2312yes—
683#387C2312yes—
684#387C2312yes—
685#387C2312yes—
686#387C2312yes—
687#387C2314yes—
688#387C2314yes—
689#387C2312yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2312yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2312yes—
703#386C2312yes—
704#386C2312yes—
705#386C2312yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2312yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2312yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2312yes—
721#386C2314yes—
722#386C2312yes—
723#386C2312yes—
724#385C2312yes—
725#385C2312yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2312yes—
735#384C2311yescharacteristic
736#384C2311yescharacteristic
737#384C2311yescharacteristic
738#384C2312yes—
739#384C2312yes—
740#384C2311yescharacteristic
741#384C2312yes—
742#384C2312yes—
743#383C2312yes—
744#382C2311yescharacteristic
745#382C2312yes—
746#382C2311yescharacteristic
747#382C2311yescharacteristic
748#382C2314yes—
749#381C2312yes—
750#381C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759#380C2312yes—
760#380C2314yes—
761#380C2314yes—
762#380C2312yes—
763#380C2314yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2314yes—
768#380C2312yes—
769#380C2311yescharacteristic
770#380C2312yes—
771#380C2312yes—
772#380C2311yescharacteristic
773#380C2311yescharacteristic
774#380C2314yes—
775#380C2314yes—
776#380C2311yescharacteristic
777#380C2312yes—
778#380C2314yes—
779#380C2312yes—
780#379C2314yes—
781#379C2314yes—
782#379C2314yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2314yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2314yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823#376C2312yes—
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×Q8C2412yes—
840C22×Q8C2412yes—
841C22×Q8C2412yes—
842C22×D4—28no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4—44no—
847C22×D4—44no—
848C22×D4C2411yescharacteristic
849C22×D4C2411yescharacteristic
850C22×D4C2412yes—
851C22×D4C2411yescharacteristic
852C22×D4C2412yes—
853C22×D4C2411yescharacteristic
854C22×D4C2411yescharacteristic
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2412yes—
866C22×D4C2414yes—
867C22×D4C2412yes—
868C22×D4C2412yes—
869C22×D4C2412yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2414yes—
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2412yes—
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2411yescharacteristic
883C23×C4C2412yes—
884C23×C4C2411yescharacteristic
885C23×C4C2412yes—
886C23×C4C2411yescharacteristic
887C23×C4C2411yescharacteristic
888C23×C4C2412yes—
889C23×C4C2411yescharacteristic
890C23×C4C2414yes—
891C23×C4C2412yes—
892C23×C4C2412yes—
893C23×C4C2414yes—
894C23×C4C2411yescharacteristic
895C23×C4C2412yes—
896C23×C4C2414yes—
897C23×C4C2414yes—
898C4⋊Q8—24no—
899C4⋊Q8—24no—
900C4⋊Q8—44no—
901C4⋊Q8—42no—
902C4⋊Q8—42no—
903#127—24no—
904#127—42no—
905#127—44no—
906#127—44no—
907#127—42no—
908#127—42no—
909#127—44no—
910#127—48no—
911#126—48no—
912#126—48no—
913#125—28no—
914#125—24no—
915#125—44no—
916#124—28no—
917#124—44no—
918#124—44no—
919#124—44no—
920#124—44no—
921#124—44no—
922#124—44no—
923#124—44no—
924#124—44no—
925#124—44no—
926#124—48no—
927#123—44no—
928#123—48no—
929#123—48no—
930#123—48no—
931#123—48no—
932#123—48no—
933#123—48no—
934#123—48no—
935#123—48no—
936#123—48no—
937C22⋊Q8—28no—
938C22⋊Q8—48no—
939C22⋊Q8—44no—
940C22⋊Q8—44no—
941C22⋊Q8—44no—
942C22⋊Q8—44no—
943C22⋊Q8—44no—
944C22⋊Q8—44no—
945C22⋊Q8—44no—
946C22⋊Q8—44no—
947C22⋊Q8—44no—
948#121—24no—
949#121—28no—
950#121—24no—
951#121—24no—
952#121—24no—
953#121—44no—
954#121—44no—
955#121—44no—
956#121—44no—
957#121—44no—
958#121—48no—
959#121—44no—
960#121—48no—
961#121—48no—
962#121—48no—
963#121—44no—
964#121—44no—
965#121—42no—
966#121—44no—
967#121—42no—
968#121—42no—
969#121—42no—
970#121—44no—
971#121—44no—
972#121—44no—
973#121—44no—
974#121—44no—
975#121—48no—
976#121—44no—
977#121—44no—
978#121—44no—
979#121—44no—
980#121—44no—
981#121—48no—
982#121—44no—
983#121—48no—
984#121—48no—
985#120—48no—
986#120—48no—
987#120—48no—
988#120—48no—
989#120—48no—
990#120—48no—
991#120—48no—
992C4×Q8—44no—
993C4×Q8—44no—
994C4×Q8—44no—
995C4×Q8—44no—
996C4×D4—24no—
997C4×D4—24no—
998C4×D4—28no—
999C4×D4—24no—
1000C4×D4—24no—
1001C4×D4—24no—
1002C4×D4—28no—
1003C4×D4—24no—
1004C4×D4—24no—
1005C4×D4—24no—
1006C4×D4—42no—
1007C4×D4—44no—
1008C4×D4—44no—
1009C4×D4—44no—
1010C4×D4—44no—
1011C4×D4—42no—
1012C4×D4—44no—
1013C4×D4—44no—
1014C4×D4—44no—
1015C4×D4—44no—
1016C4×D4—44no—
1017C4×D4—44no—
1018C4×D4—44no—
1019C4×D4—42no—
1020C4×D4—48no—
1021C4×D4—48no—
1022#117—44no—
1023#117—48no—
1024#117—48no—
1025#117—44no—
1026#117—44no—
1027C2×C4⋊C4—44no—
1028C2×C4⋊C4—44no—
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C22⋊C4—48no—
1084C2×C22⋊C4—48no—
1085C2×C22⋊C4—48no—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2411yescharacteristic
1098C2×C22⋊C4C2411yescharacteristic
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2411yescharacteristic
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2411yescharacteristic
1142C2×C22⋊C4C2411yescharacteristic
1143C2×C22⋊C4C2411yescharacteristic
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C42—28no—
1166C2×C42—24no—
1167C2×C42—24no—
1168C2×C42—44no—
1169C2×C42C2412yes—
1170C2×C42C2412yes—
1171C2×C42C2412yes—
1172C2×C42C2411yescharacteristic
1173C2×C42C2412yes—
1174C2×C42C2411yescharacteristic
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177C2×C42C2411yescharacteristic
1178C2×C42C2411yescharacteristic
1179C2×C42C2412yes—
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2412yes—
1183C2×C42C2411yescharacteristic
1184C2×C42C2412yes—
1185C2×C42C2414yes—
1186C2×C42C2414yes—
1187C2×C42C2414yes—
1188C2×C42C2414yes—
1189C2×C42C2411yescharacteristic
1190C2×C42C2412yes—
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2411yescharacteristic
1199#95C2412yes—
1200#95C2411yescharacteristic
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2411yescharacteristic
1206#95C2411yescharacteristic
1207#95C2412yes—
1208#95C2412yes—
1209#95C2411yescharacteristic
1210#95C2411yescharacteristic
1211#95C2412yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2414yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2414yes—
1228#95C2412yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2412yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244C24—28no—
1245C24—44no—
1246C24—44no—
1247C24—44no—
1248C24—44no—
1249C24—44no—
1250C24—44no—
1251C24C2512yes—
1252C24C2514yes—
1253C24C2512yes—
1254C24C2512yes—
1255C24C2511yescharacteristic
1256C24C2511yescharacteristic
1257C24C2512yes—
1258#41—816no—
1259#41—816no—
1260#41—816no—
1261#41—816no—
1262C2×Q8—24no—
1263C2×Q8—24no—
1264C2×Q8—24no—
1265C2×Q8—24no—
1266C2×Q8—24no—
1267C2×Q8—24no—
1268C2×Q8—42no—
1269C2×Q8—42no—
1270C2×Q8—42no—
1271C2×Q8—42no—
1272C2×Q8—42no—
1273C2×Q8—42no—
1274C2×D4—24no—
1275C2×D4—28no—
1276C2×D4—28no—
1277C2×D4—24no—
1278C2×D4—28no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—24no—
1287C2×D4—22no—
1288C2×D4—24no—
1289C2×D4—24no—
1290C2×D4—22no—
1291C2×D4—24no—
1292C2×D4—24no—
1293C2×D4—24no—
1294C2×D4—24no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—24no—
1301C2×D4—24no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—42no—
1313C2×D4—42no—
1314C2×D4—42no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—42no—
1326C2×D4—42no—
1327C2×D4—42no—
1328C2×D4—42no—
1329C2×D4—42no—
1330C2×D4—42no—
1331C2×D4—42no—
1332C2×D4—42no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—42no—
1337C2×D4—42no—
1338C2×D4—42no—
1339C2×D4—42no—
1340C2×D4—42no—
1341C2×D4—42no—
1342C2×D4—42no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—42no—
1346C2×D4—42no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—42no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4—42no—
1353C2×D4—42no—
1354C2×D4—42no—
1355C2×D4—42no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—816no—
1370C2×D4—816no—
1371C2×D4H(5,𝔽2)14yes—
1372C22×C4—24no—
1373C22×C4—28no—
1374C22×C4—22no—
1375C22×C4—24no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—24no—
1380C22×C4—22no—
1381C22×C4—24no—
1382C22×C4—24no—
1383C22×C4—24no—
1384C22×C4—24no—
1385C22×C4—22no—
1386C22×C4—24no—
1387C22×C4—24no—
1388C22×C4—22no—
1389C22×C4—22no—
1390C22×C4—24no—
1391C22×C4—24no—
1392C22×C4—24no—
1393C22×C4—24no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—24no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—24no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—28no—
1406C22×C4—42no—
1407C22×C4—41no—
1408C22×C4—42no—
1409C22×C4—42no—
1410C22×C4—44no—
1411C22×C4—44no—
1412C22×C4—44no—
1413C22×C4—44no—
1414C22×C4—44no—
1415C22×C4—42no—
1416C22×C4—41no—
1417C22×C4—42no—
1418C22×C4—42no—
1419C22×C4—42no—
1420C22×C4—41no—
1421C22×C4—44no—
1422C22×C4—44no—
1423C22×C4—44no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4C2512yes—
1427C22×C4C2511yescharacteristic
1428C22×C4C2511yescharacteristic
1429C22×C4C2511yescharacteristic
1430C22×C4C2512yes—
1431C22×C4C2512yes—
1432C22×C4C2512yes—
1433C22×C4C2514yes—
1434C22×C4C2512yes—
1435C22×C4C2512yes—
1436C22×C4C2514yes—
1437C22×C4C2511yescharacteristic
1438C22×C4C2512yes—
1439C22×C4C2511yescharacteristic
1440C22×C4C2512yes—
1441C22×C4C2512yes—
1442C22×C4C2512yes—
1443C22×C4C2512yes—
1444C22×C4C2511yescharacteristic
1445C22×C4C2511yescharacteristic
1446C22×C4C2514yes—
1447C22×C4C2511yescharacteristic
1448C22×C4C2511yescharacteristic
1449C22×C4C2512yes—
1450C22×C4C2511yescharacteristic
1451C22×C4C2511yescharacteristic
1452C22×C4C2511yescharacteristic
1453C22×C4C2511yescharacteristic
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—24no—
1457C4⋊C4—24no—
1458C4⋊C4—22no—
1459C4⋊C4—24no—
1460C4⋊C4—24no—
1461C4⋊C4—28no—
1462C4⋊C4—28no—
1463C4⋊C4—24no—
1464C4⋊C4—22no—
1465C4⋊C4—22no—
1466C4⋊C4—22no—
1467C4⋊C4—22no—
1468C4⋊C4—22no—
1469C4⋊C4—22no—
1470C4⋊C4—24no—
1471C4⋊C4—22no—
1472C4⋊C4—24no—
1473C4⋊C4—24no—
1474C4⋊C4—24no—
1475C4⋊C4—28no—
1476C4⋊C4—22no—
1477C4⋊C4—22no—
1478C4⋊C4—22no—
1479C4⋊C4—24no—
1480C4⋊C4—44no—
1481C4⋊C4—44no—
1482C4⋊C4—42no—
1483C4⋊C4—42no—
1484C4⋊C4—44no—
1485C4⋊C4—42no—
1486C4⋊C4—42no—
1487C4⋊C4—41no—
1488C4⋊C4—42no—
1489C4⋊C4—42no—
1490C4⋊C4—42no—
1491C4⋊C4—42no—
1492C4⋊C4—42no—
1493C4⋊C4—42no—
1494C4⋊C4—42no—
1495C4⋊C4—44no—
1496C4⋊C4—44no—
1497C4⋊C4—44no—
1498C4⋊C4—44no—
1499C4⋊C4—42no—
1500C4⋊C4—44no—
1501C4⋊C4—44no—
1502C4⋊C4—44no—
1503C4⋊C4—44no—
1504C4⋊C4—44no—
1505C4⋊C4—42no—
1506C4⋊C4—44no—
1507C4⋊C4H(5,𝔽2)14yes—
1508C22⋊C4—24no—
1509C22⋊C4—24no—
1510C22⋊C4—28no—
1511C22⋊C4—24no—
1512C22⋊C4—24no—
1513C22⋊C4—24no—
1514C22⋊C4—28no—
1515C22⋊C4—28no—
1516C22⋊C4—28no—
1517C22⋊C4—24no—
1518C22⋊C4—24no—
1519C22⋊C4—24no—
1520C22⋊C4—28no—
1521C22⋊C4—24no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—24no—
1525C22⋊C4—24no—
1526C22⋊C4—24no—
1527C22⋊C4—24no—
1528C22⋊C4—22no—
1529C22⋊C4—24no—
1530C22⋊C4—28no—
1531C22⋊C4—24no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—42no—
1541C22⋊C4—42no—
1542C22⋊C4—44no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—42no—
1550C22⋊C4—42no—
1551C22⋊C4—41no—
1552C22⋊C4—42no—
1553C22⋊C4—41no—
1554C22⋊C4—41no—
1555C22⋊C4—42no—
1556C22⋊C4—42no—
1557C22⋊C4—44no—
1558C22⋊C4—42no—
1559C22⋊C4—42no—
1560C22⋊C4—42no—
1561C22⋊C4—42no—
1562C22⋊C4—42no—
1563C22⋊C4—42no—
1564C22⋊C4—44no—
1565C22⋊C4—42no—
1566C22⋊C4—42no—
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—44no—
1577C22⋊C4—42no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—42no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C42—24no—
1588C42—22no—
1589C42—24no—
1590C42—22no—
1591C42—22no—
1592C42—22no—
1593C42—22no—
1594C42—24no—
1595C42—22no—
1596C42—22no—
1597C42—24no—
1598C42—24no—
1599C42—22no—
1600C42—22no—
1601C42—24no—
1602C42—42no—
1603C42—42no—
1604C42—41no—
1605C42—44no—
1606C42—44no—
1607C42—44no—
1608C42—44no—
1609C42—41no—
1610C42H(5,𝔽2)14yes—
1611C42H(5,𝔽2)14yes—
1612C23—22no—
1613C23—22no—
1614C23—22no—
1615C23—22no—
1616C23—22no—
1617C23—22no—
1618C23—24no—
1619C23—22no—
1620C23—22no—
1621C23—22no—
1622C23—22no—
1623C23—22no—
1624C23—21no—
1625C23—21no—
1626C23—22no—
1627C23—24no—
1628C23—22no—
1629C23—22no—
1630C23—22no—
1631C23—24no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—24no—
1636C23—22no—
1637C23—22no—
1638C23—21no—
1639C23—22no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—24no—
1644C23—22no—
1645C23—22no—
1646C23—21no—
1647C23—22no—
1648C23—21no—
1649C23—21no—
1650C23—22no—
1651C23—22no—
1652C23—24no—
1653C23—22no—
1654C23—21no—
1655C23—22no—
1656C23—21no—
1657C23—24no—
1658C23—22no—
1659C23—22no—
1660C23—88no—
1661C23—88no—
1662C23—88no—
1663C23—88no—
1664C23—88no—
1665C23—164no—
1666C23—164no—
1667C23C2×H(5,𝔽2)14yes—
1668C23C2611yescharacteristic
1669Q8—48no—
1670Q8—48no—
1671Q8—84no—
1672Q8—84no—
1673D4—28no—
1674D4—44no—
1675D4—48no—
1676D4—44no—
1677D4—44no—
1678D4—44no—
1679D4—48no—
1680D4—84no—
1681D4—84no—
1682D4—84no—
1683D4—84no—
1684D4—84no—
1685D4—84no—
1686D4—88no—
1687D4—84no—
1688D4—88no—
1689D4—88no—
1690D4—88no—
1691D4—84no—
1692D4—84no—
1693D4—88no—
1694D4—84no—
1695D4—84no—
1696D4—84no—
1697D4—84no—
1698D4—84no—
1699D4—84no—
1700D4—88no—
1701D4—164no—
1702D4—164no—
1703D4—164no—
1704D4—164no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—22no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—21no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—24no—
1734C2×C4—24no—
1735C2×C4—24no—
1736C2×C4—24no—
1737C2×C4—24no—
1738C2×C4—24no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—22no—
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—21no—
1752C2×C4—21no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—24no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—21no—
1760C2×C4—22no—
1761C2×C4—21no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—24no—
1765C2×C4—22no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—24no—
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—48no—
1779C2×C4—44no—
1780C2×C4—48no—
1781C2×C4—48no—
1782C2×C4—44no—
1783C2×C4—48no—
1784C2×C4—44no—
1785C2×C4—44no—
1786C2×C4—48no—
1787C2×C4—44no—
1788C2×C4—84no—
1789C2×C4—84no—
1790C2×C4—88no—
1791C2×C4—82no—
1792C2×C4—84no—
1793C2×C4—88no—
1794C2×C4—88no—
1795C2×C4—164no—
1796C2×C4C2×H(5,𝔽2)12yes—
1797C2×C4C2×H(5,𝔽2)12yes—
1798C2×C4C2×H(5,𝔽2)12yes—
1799C2×C4C2×H(5,𝔽2)14yes—
1800C2×C4C2×H(5,𝔽2)12yes—
1801C2×C4C2×H(5,𝔽2)12yes—
1802C2×C4C2×H(5,𝔽2)12yes—
1803C2×C4C2×H(5,𝔽2)12yes—
1804C2×C4C2×H(5,𝔽2)12yes—
1805C2×C4#58512yes—
1806C2×C4#58512yes—
1807C22—24no—
1808C22—24no—
1809C22—24no—
1810C22—42no—
1811C22—42no—
1812C22—42no—
1813C22—42no—
1814C22—42no—
1815C22—41no—
1816C22—41no—
1817C22—42no—
1818C22—42no—
1819C22—44no—
1820C22—41no—
1821C22—41no—
1822C22—44no—
1823C22—42no—
1824C22—42no—
1825C22—42no—
1826C22—42no—
1827C22—42no—
1828C22—41no—
1829C22—41no—
1830C22—44no—
1831C22—42no—
1832C22—42no—
1833C22—41no—
1834C22—41no—
1835C22—42no—
1836C22—44no—
1837C22—42no—
1838C22—42no—
1839C22—44no—
1840C22—41no—
1841C22—41no—
1842C22—42no—
1843C22—42no—
1844C22—41no—
1845C22—42no—
1846C22—42no—
1847C22—42no—
1848C22—44no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—42no—
1853C22—42no—
1854C22—44no—
1855C22—42no—
1856C22—1616no—
1857C22C22×H(5,𝔽2)11yescharacteristic
1858C22C22×H(5,𝔽2)11yescharacteristic
1859C22C22×H(5,𝔽2)11yescharacteristic
1860C22C22×H(5,𝔽2)11yescharacteristic
1861C22C2×#58511yescharacteristic
1862C22C2×#58511yescharacteristic
1863C222−1+611yescharacteristic
1864C4—22no—
1865C4—22no—
1866C4—24no—
1867C4—22no—
1868C4—22no—
1869C4—42no—
1870C4—42no—
1871C4—41no—
1872C4—42no—
1873C4—41no—
1874C4—44no—
1875C4—41no—
1876C4—41no—
1877C4—42no—
1878C4—44no—
1879C4—41no—
1880C4—42no—
1881C4—42no—
1882C4—44no—
1883C4—42no—
1884C4—42no—
1885C4—42no—
1886C4—42no—
1887C4—41no—
1888C4—42no—
1889C4—41no—
1890C4#354314yes—
1891C4#354614yes—
1892C2—44no—
1893C2—81no—
1894C2—81no—
1895C2—82no—
1896C2—82no—
1897C2—84no—
1898C2—82no—
1899C2C2×#354311yescharacteristic
1900C2C2×#354611yescharacteristic
1901C2#6275911yescharacteristic
1902C2#6291411yescharacteristic
1903C2#6292111yescharacteristic
1904C2#6295411yescharacteristic
1905C2#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. #59678C2semidirect
2. #59046C2semidirect
3. #59040C2semidirect
4. #59038C2semidirect
5. #59035C2semidirect
6. #54845C2semidirect
7. #54406C2semidirect
8. #53096C2semidirect
9. #53044C2semidirect
10. #53000C2semidirect
11. #52956C2semidirect
12. #52597C2semidirect
13. #42988C2semidirect
14. #42635C2semidirect
15. #42438C2semidirect
16. #42432C2semidirect
17. #41246C2semidirect
18. #40125C2semidirect
19. #39926C2semidirect
20. #39352C2semidirect
21. #39342C2semidirect
22. #39340C2semidirect
23. #39334C2semidirect
24. #39156C2semidirect
25. #37775C2semidirect
26. #37640C2semidirect
27. #37621C2semidirect
28. #37618C2semidirect
29. #37492C2semidirect
30. #36260C2semidirect
31. #36150C2semidirect
32. #36115C2semidirect
33. #34932C2semidirect
34. #34925C2semidirect
35. #34917C2semidirect
41. C2×#540C22semidirect
44. C2×#533C22semidirect
47. C2×#532C22semidirect
48. C2×#532C22semidirect
49. C2×#529C22semidirect
50. C2×#529C22semidirect
52. #2857C22semidirect
55. #2850C22semidirect
56. #2838C22semidirect
57. #2830C22semidirect
58. #2829C22semidirect
59. #2829C22semidirect
60. #2828C22semidirect
61. #2826C22semidirect
62. #2825C22semidirect
63. #2820C22semidirect
64. #2815C22semidirect
65. #2813C22semidirect
66. #2813C22semidirect
67. #2813C22semidirect
68. #2813C22semidirect
69. #2812C22semidirect
70. #2803C22semidirect
71. #2796C22semidirect
72. #2784C22semidirect
73. #2777C22semidirect
74. #2773C22semidirect
75. #2748C22semidirect
76. #2742C22semidirect
77. #2740C22semidirect
78. #2717C22semidirect
79. #2714C22semidirect
80. #2714C22semidirect
81. #2709C22semidirect
82. #2706C22semidirect
83. #2706C22semidirect
84. #2705C22semidirect
85. #2705C22semidirect
86. #2703C22semidirect
87. #2703C22semidirect
88. #2694C22semidirect
89. #2693C22semidirect
90. #2686C22semidirect
91. #2682C22semidirect
92. #2682C22semidirect
93. #2678C22semidirect
94. #2678C22semidirect
95. #2678C22semidirect
96. #2674C22semidirect
97. #2673C22semidirect
98. #2673C22semidirect
99. #2672C22semidirect
100. #2671C22semidirect
101. #2671C22semidirect
104. #2669C22semidirect
106. #2668C22semidirect
107. #2663C22semidirect
108. #2662C22semidirect
109. #2662C22semidirect
110. #2657C22semidirect
111. #2651C22semidirect
113. #2640C22semidirect
114. #2631C22semidirect
115. #2628C22semidirect
116. #2626C22semidirect
117. #2624C22semidirect
118. #2624C22semidirect
119. #2622C22semidirect
121. #2620C22semidirect
122. #2619C22semidirect
123. #2617C22semidirect
124. #2616C22semidirect
125. #2616C22semidirect
126. #2616C22semidirect
128. #2615C22semidirect
129. #2615C22semidirect
130. #2597C22semidirect
131. #2578C22semidirect
132. #2576C22semidirect
133. #2570C22semidirect
134. #2567C22semidirect
136. #2562C22semidirect
137. #2562C22semidirect
138. #2559C22semidirect
139. #2555C22semidirect
140. #2555C22semidirect
141. #2555C22semidirect
142. #2553C22semidirect
143. #2552C22semidirect
144. #2551C22semidirect
147. #2547C22semidirect
148. #2547C22semidirect
152. #2542C22semidirect
160. #2540C22semidirect
161. #2540C22semidirect
164. #2539C22semidirect
165. #2538C22semidirect
166. #2538C22semidirect
167. #2538C22semidirect
168. #2538C22semidirect
171. #2537C22semidirect
172. #2537C22semidirect
173. #2537C22semidirect
175. #2535C22semidirect
176. #2535C22semidirect
177. #2515C22semidirect
178. #2512C22semidirect
179. #2511C22semidirect
181. #2501C22semidirect
182. #2499C22semidirect
183. #2497C22semidirect
184. #2497C22semidirect
185. #2496C22semidirect
186. #2494C22semidirect
189. #2491C22semidirect
190. #2491C22semidirect
192. #2490C22semidirect
193. #2489C22semidirect
194. #2487C22semidirect
195. #2485C22semidirect
196. #2480C22semidirect
197. #2472C22semidirect
198. #2471C22semidirect
199. #2471C22semidirect
200. #2471C22semidirect
201. #2471C22semidirect
202. #2470C22semidirect
203. #2467C22semidirect
204. #2457C22semidirect
205. #2456C22semidirect
206. #2454C22semidirect
207. #2454C22semidirect
209. #2448C22semidirect
210. #2445C22semidirect
211. #2445C22semidirect
212. #2440C22semidirect
216. #2431C22semidirect
217. #2431C22semidirect
219. #2428C22semidirect
220. #2428C22semidirect
221. #2428C22semidirect
222. #2428C22semidirect
224. #2427C22semidirect
225. #2427C22semidirect
226. #2427C22semidirect
227. #2426C22semidirect
228. #2426C22semidirect
229. #2426C22semidirect
230. #2426C22semidirect
231. #2424C22semidirect
232. #2423C22semidirect
236. #2422C22semidirect
237. #2421C22semidirect
240. #2417C22semidirect
241. #2417C22semidirect
242. #2416C22semidirect
243. #2416C22semidirect
244. #2415C22semidirect
246. #2414C22semidirect
247. #2414C22semidirect
248. #2414C22semidirect
249. #2412C22semidirect
250. #2411C22semidirect
257. #2407C22semidirect
258. #2401C22semidirect
259. #2395C22semidirect
260. #2392C22semidirect
261. #2388C22semidirect
262. #2388C22semidirect
263. #2367C22semidirect
264. #2367C22semidirect
266. #2366C22semidirect
267. #2365C22semidirect
268. #2363C22semidirect
269. #2360C22semidirect
270. #2358C22semidirect
272. #2354C22semidirect
273. #2352C22semidirect
274. D4×C4⋊C4C22semidirect
276. #2341C22semidirect
278. #2335C22semidirect
279. #2330C22semidirect
280. C4×C4⋊Q8C22semidirect
282. C4×#125C22semidirect
283. C4×C22⋊Q8C22semidirect
284. C4×#123C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
292. #2290C22semidirect
293. #2285C22semidirect
294. #2285C22semidirect
295. #2283C22semidirect
297. C42×D4C22semidirect
298. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#596782
#590462
#590402
#590382
#590352
#548452
#544062
#530962
#530442
#530002
#529562
#525972
#429882
#426352
#424382
#424322
#412462
#401252
#399262
#393522
#393422
#393402
#393342
#391562
#377752
#376402
#376212
#376182
#374922
#362602
#361502
#361152
#349322
#349252
#349172