Finite Group Databasebeta

← #7979700

Subgroups — #7979700

Order 512.

5663 conjugacy classes of subgroups.

The subgroup lattice has 1853 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59474C212yesmaximal, complemented
2#59450C211yesmaximal, characteristic, complemented
3#59040C211yesmaximal, characteristic, complemented
4#59033C211yesmaximal, characteristic, complemented
5#59023C212yesmaximal, complemented
6#51165C214yesmaximal, complemented
7#50844C214yesmaximal, complemented
8#45632C212yesmaximal, complemented
9#45625C212yesmaximal, complemented
10#45075C212yesmaximal, complemented
11#44882C212yesmaximal, complemented
12#44139C214yesmaximal, complemented
13#42541C212yesmaximal, complemented
14#42533C212yesmaximal, complemented
15#41976C214yesmaximal, complemented
16#39888C212yesmaximal, complemented
17#39876C212yesmaximal, complemented
18#39862C212yesmaximal, complemented
19#39532C212yesmaximal, complemented
20#39202C211yesmaximal, characteristic, complemented
21#39138C211yesmaximal, characteristic, complemented
22#37669C212yesmaximal, complemented
23#36288C211yesmaximal, characteristic, complemented
24#36153C211yesmaximal, characteristic, complemented
25#36150C211yesmaximal, characteristic, complemented
26#36149C212yesmaximal, complemented
27#36126C211yesmaximal, characteristic, complemented
28#36125C211yesmaximal, characteristic, complemented
29#35241C211yesmaximal, characteristic, complemented
30#35197C212yesmaximal, complemented
31#35170C211yesmaximal, characteristic, complemented
32#34936C211yesmaximal, characteristic, complemented
33#34700C211yesmaximal, characteristic, complemented
34#34404C212yesmaximal, complemented
35C4×#553C211yesmaximal, characteristic, complemented
36C2×#553C2211yescharacteristic
37C2×#550C2211yescharacteristic, complemented
38C2×#547C2211yescharacteristic
39C2×#547C2212yescomplemented
40C2×#546C2212yes—
41C2×#542C2212yescomplemented
42C2×#533C2211yescharacteristic, complemented
43C2×#532C2212yes—
44C2×#532C2212yes—
45C2×#532C2211yescharacteristic
46C2×#529C2211yescharacteristic
47C2×#525C2212yes—
48C2×#525C2212yes—
49C22×C4×D4C2211yescharacteristic
50#2862C2212yescomplemented
51#2858C2211yescharacteristic, complemented
52#2857C2211yescharacteristic
53#2857C2212yescomplemented
54#2857C2212yescomplemented
55#2856C2211yescharacteristic, complemented
56#2854C2212yes—
57#2854C2212yescomplemented
58#2850C2212yes—
59#2850C2212yescomplemented
60#2847C2212yes—
61#2837C2214yescomplemented
62#2836C2214yescomplemented
63#2807C2214yescomplemented
64#2797C2214yescomplemented
65#2771C2214yescomplemented
66#2761C2214yescomplemented
67#2754C2214yescomplemented
68#2753C2214yescomplemented
69#2752C2214yescomplemented
70#2752C2214yescomplemented
71#2751C2214yescomplemented
72#2748C2214yescomplemented
73#2743C2214yescomplemented
74#2740C2214yescomplemented
75#2732C2214yescomplemented
76#2730C2214yescomplemented
77#2714C2214yescomplemented
78#2710C2214yes—
79#2706C2214yes—
80#2705C2214yes—
81#2705C2214yescomplemented
82#2703C2214yes—
83#2703C2214yes—
84#2699C2214yes—
85#2696C2214yes—
86#2694C2214yescomplemented
87#2693C2214yes—
88#2688C2214yes—
89#2687C2214yes—
90#2682C2214yes—
91#2678C2214yes—
92#2678C2214yes—
93#2673C2214yescomplemented
94#2670C2214yes—
95#2669C2214yes—
96#2664C2214yescomplemented
97#2663C2214yescomplemented
98#2648C2214yescomplemented
99#2648C2214yescomplemented
100#2636C2214yescomplemented
101#2635C2214yes—
102#2630C2214yes—
103#2624C2212yescomplemented
104#2619C2212yescomplemented
105#2612C2214yescomplemented
106#2603C2214yescomplemented
107#2602C2214yes—
108#2575C2214yescomplemented
109#2574C2214yes—
110#2571C2212yescomplemented
111#2568C2211yescharacteristic, complemented
112#2565C2212yescomplemented
113#2554C2214yescomplemented
114#2551C2211yescharacteristic, complemented
115#2548C2212yes—
116#2547C2211yescharacteristic
117#2547C2211yescharacteristic, complemented
118#2546C2211yescharacteristic, complemented
119#2545C2212yes—
120#2544C2212yes—
121#2544C2212yescomplemented
122#2542C2211yescharacteristic
123#2542C2211yescharacteristic
124#2541C2211yescharacteristic
125#2541C2211yescharacteristic
126#2541C2212yes—
127#2541C2212yescomplemented
128#2540C2212yes—
129#2540C2212yes—
130#2540C2212yes—
131#2540C2212yescomplemented
132#2539C2214yes—
133#2538C2212yescomplemented
134#2537C2211yescharacteristic
135#2535C2212yes—
136#2535C2212yescomplemented
137#2535C2214yescomplemented
138#2534C2214yes—
139#2521C2214yescomplemented
140#2516C2214yescomplemented
141#2513C2214yescomplemented
142#2511C2212yescomplemented
143#2508C2212yescomplemented
144#2503C2212yescomplemented
145#2501C2212yes—
146#2498C2214yescomplemented
147#2496C2212yescomplemented
148#2492C2212yes—
149#2492C2212yescomplemented
150#2491C2212yes—
151#2491C2212yescomplemented
152#2490C2212yes—
153#2490C2212yescomplemented
154#2490C2212yescomplemented
155#2489C2212yescomplemented
156#2486C2212yes—
157#2480C2212yes—
158#2471C2214yescomplemented
159#2468C2212yes—
160#2467C2214yescomplemented
161#2464C2214yescomplemented
162#2464C2214yescomplemented
163#2461C2214yescomplemented
164#2459C2214yescomplemented
165#2457C2212yes—
166#2457C2214yescomplemented
167#2457C2214yescomplemented
168#2454C2211yescharacteristic
169#2454C2212yescomplemented
170#2452C2212yescomplemented
171#2450C2214yescomplemented
172#2448C2212yescomplemented
173#2448C2212yescomplemented
174#2447C2212yes—
175#2447C2211yescharacteristic
176#2447C2212yescomplemented
177#2447C2214yescomplemented
178#2447C2212yescomplemented
179#2445C2212yes—
180#2445C2214yescomplemented
181#2444C2214yescomplemented
182#2442C2211yescharacteristic
183#2439C2212yes—
184#2435C2211yescharacteristic
185#2433C2212yes—
186#2432C2212yescomplemented
187#2431C2212yes—
188#2431C2212yes—
189#2431C2214yes—
190#2431C2212yes—
191#2430C2214yescomplemented
192#2429C2212yes—
193#2428C2212yescomplemented
194#2428C2212yescomplemented
195#2427C2211yescharacteristic
196#2427C2212yes—
197#2427C2214yescomplemented
198#2427C2212yescomplemented
199#2427C2212yescomplemented
200#2426C2212yes—
201#2426C2212yescomplemented
202#2426C2212yescomplemented
203#2425C2214yes—
204#2423C2212yescomplemented
205#2421C2212yescomplemented
206#2420C2211yescharacteristic
207#2420C2212yescomplemented
208#2420C2214yescomplemented
209#2420C2214yescomplemented
210#2420C2212yescomplemented
211#2419C2214yescomplemented
212#2418C2212yes—
213#2417C2212yes—
214#2417C2211yescharacteristic
215#2417C2212yescomplemented
216#2417C2212yescomplemented
217#2417C2212yescomplemented
218#2416C2212yes—
219#2416C2212yescomplemented
220#2414C2212yes—
221#2412C2214yes—
222#2408C2211yescharacteristic
223#2407C2212yes—
224#2407C2212yes—
225#2407C2212yes—
226#2407C2212yescomplemented
227#2407C2214yescomplemented
228#2404C2214yes—
229#2397C2214yes—
230#2395C2212yes—
231#2392C2212yes—
232#2376C2214yes—
233#2376C2214yes—
234#2374C2212yes—
235#2373C2212yescomplemented
236#2370C2211yescharacteristic, complemented
237#2369C2212yescomplemented
238#2367C2212yescomplemented
239#2366C2211yescharacteristic, complemented
240#2365C2211yescharacteristic, complemented
241#2364C2212yes—
242#2363C2211yescharacteristic
243#2363C2212yescomplemented
244#2361C2212yescomplemented
245#2361C2212yescomplemented
246#2361C2212yescomplemented
247#2361C2211yescharacteristic, complemented
248#2360C2212yescomplemented
249#2360C2212yescomplemented
250#2357C2212yes—
251#2357C2211yescharacteristic, complemented
252#2355C2211yescharacteristic, complemented
253#2353C2214yescomplemented
254#2353C2212yescomplemented
255#2352C2211yescharacteristic
256#2349C2214yescomplemented
257D4×C4⋊C4C2211yescharacteristic
258#2347C2211yescharacteristic
259#2346C2212yes—
260#2345C2211yescharacteristic, complemented
261#2341C2212yes—
262#2341C2212yes—
263#2339C2212yes—
264#2339C2212yes—
265#2339C2214yescomplemented
266#2339C2212yescomplemented
267#2328C2214yescomplemented
268#2324C2212yescomplemented
269#2324C2212yescomplemented
270#2323C2212yescomplemented
271#2323C2212yescomplemented
272#2323C2212yescomplemented
273#2321C2214yes—
274#2321C2214yes—
275#2319C2214yescomplemented
276#2318C2214yescomplemented
277C4×C4⋊Q8C2211yescharacteristic, complemented
278C4×#127C2212yes—
279C4×#127C2212yes—
280C4×#125C2211yescharacteristic, complemented
281C4×#126C2212yescomplemented
282C4×#124C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×#123C2212yes—
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287C4×#121C2212yes—
288C4×#121C2211yescharacteristic, complemented
289C4×#120C2212yes—
290#2295C2212yescomplemented
291#2293C2211yescharacteristic
292#2280C2212yes—
293C2×#380C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic, complemented
296C42×D4C2212yescomplemented
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2314yes—
302C22×#41C2312yes—
303C23×D4C2311yescharacteristic
304C24×C4C2312yes—
305#553—28no—
306#550—44no—
307#547—48no—
308#547—44no—
309#546—48no—
310#542—48no—
311#533—44no—
312#532—44no—
313#532—48no—
314#532—48no—
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×#127C2312yes—
321C2×#127C2311yescharacteristic
322C2×#127C2312yes—
323C2×#127C2314yes—
324C2×#127C2312yes—
325#529—44no—
326C2×#126C2312yes—
327C2×#126C2312yes—
328C2×#126C2314yes—
329C2×#125C2311yescharacteristic
330C2×#125C2311yescharacteristic
331C2×#125C2312yes—
332C2×#124C2311yescharacteristic
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2314yes—
337C2×#124C2314yes—
338C2×#124C2311yescharacteristic
339C2×#124C2312yes—
340C2×#124C2312yes—
341#525—216no—
342#525—48no—
343C2×#123C2312yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2312yes—
351C2×#123C2314yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2311yescharacteristic
359C2×C22⋊Q8C2314yes—
360C2×C22⋊Q8C2311yescharacteristic
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2314yes—
364C2×#121C2312yes—
365C2×#121C2311yescharacteristic
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2311yescharacteristic
369C2×#121C2312yes—
370C2×#121C2311yescharacteristic
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2311yescharacteristic
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2314yes—
381C2×#121C2312yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2312yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#120C2314yes—
388C2×#120C2314yes—
389C2×#120C2312yes—
390C2×#120C2314yes—
391C2×C4×Q8C2311yescharacteristic
392C2×C4×Q8C2312yes—
393C2×C4×Q8C2312yes—
394C2×C4×Q8C2312yes—
395C2×C4×Q8C2312yes—
396C2×C4×D4—44no—
397C2×C4×D4C2314yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2312yes—
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2314yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2314yes—
413C2×C4×D4C2314yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2314yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2311yescharacteristic
428C2×#117C2311yescharacteristic
429C2×#117C2312yes—
430C2×#117C2312yes—
431C2×#117C2312yes—
432C2×#117C2311yescharacteristic
433C22×C4⋊C4C2311yescharacteristic
434C22×C4⋊C4C2311yescharacteristic
435C22×C4⋊C4C2312yes—
436C22×C4⋊C4C2312yes—
437C22×C4⋊C4C2311yescharacteristic
438C22×C22⋊C4C2314yes—
439C22×C22⋊C4C2312yes—
440C22×C42C2311yescharacteristic
441C22×C42C2311yescharacteristic
442C22×C42C2312yes—
443C22×C42C2312yes—
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#400C2314yes—
448#400C2314yes—
449#400C2314yes—
450#400C2312yes—
451#400C2314yes—
452#399C2314yes—
453#399C2314yes—
454#399C2314yes—
455#399C2314yes—
456#399C2314yes—
457#399C2312yes—
458#399C2314yes—
459#399C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2312yes—
464#398C2314yes—
465#398C2314yes—
466#398C2312yes—
467#398C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2312yes—
476#397C2312yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2312yes—
481#397C2312yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2312yes—
492#396C2312yes—
493#396C2314yes—
494#396C2314yes—
495#395C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2312yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2312yes—
506#394C2312yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2312yes—
511#394C2312yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#393C2314yes—
520#393C2314yes—
521#393C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2312yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#391C2312yes—
539#391C2312yes—
540#391C2312yes—
541#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2314yes—
545#391C2312yes—
546#391C2312yes—
547#391C2311yescharacteristic
548#391C2314yes—
549#391C2314yes—
550#391C2312yes—
551#391C2312yes—
552#391C2314yes—
553#391C2311yescharacteristic
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2314yes—
558#390C2312yes—
559#390C2314yes—
560#390C2314yes—
561#390C2314yes—
562#390C2314yes—
563#390C2314yes—
564#390C2314yes—
565#390C2314yes—
566#390C2312yes—
567#390C2312yes—
568#390C2314yes—
569#390C2314yes—
570#390C2311yescharacteristic
571#390C2314yes—
572#390C2314yes—
573#390C2311yescharacteristic
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2314yes—
581#390C2311yescharacteristic
582#390C2311yescharacteristic
583#390C2311yescharacteristic
584#390C2312yes—
585#390C2314yes—
586#390C2312yes—
587#390C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2311yescharacteristic
590#389C2312yes—
591#389C2312yes—
592#389C2314yes—
593#389C2312yes—
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2311yescharacteristic
602#389C2312yes—
603#389C2311yescharacteristic
604#389C2312yes—
605#389C2312yes—
606#389C2311yescharacteristic
607#389C2314yes—
608#389C2312yes—
609#389C2312yes—
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2311yescharacteristic
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#388C2314yes—
626#388C2312yes—
627#388C2312yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2312yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2312yes—
640#388C2312yes—
641#388C2314yes—
642#388C2314yes—
643#388C2312yes—
644#388C2312yes—
645#388C2312yes—
646#388C2314yes—
647#388C2312yes—
648#388C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2312yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2312yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2312yes—
692#386C2312yes—
693#386C2312yes—
694#386C2314yes—
695#386C2312yes—
696#386C2312yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2312yes—
702#386C2312yes—
703#385C2314yes—
704#385C2314yes—
705#385C2312yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2312yes—
713#385C2314yes—
714#385C2312yes—
715#385C2314yes—
716#385C2312yes—
717#385C2312yes—
718#384C2312yes—
719#384C2312yes—
720#384C2311yescharacteristic
721#383C2312yes—
722#382C2311yescharacteristic
723#382C2312yes—
724#382C2311yescharacteristic
725#382C2314yes—
726#382C2314yes—
727#382C2314yes—
728#382C2312yes—
729#381C2312yes—
730#381C2312yes—
731#381C2314yes—
732#381C2314yes—
733#381C2314yes—
734#381C2314yes—
735#381C2314yes—
736#381C2312yes—
737#381C2314yes—
738#380C2314yes—
739#380C2312yes—
740#380C2314yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2311yescharacteristic
747#380C2312yes—
748#380C2312yes—
749#380C2314yes—
750#380C2312yes—
751#380C2314yes—
752#380C2311yescharacteristic
753#380C2311yescharacteristic
754#380C2312yes—
755#380C2314yes—
756#380C2314yes—
757#380C2312yes—
758#380C2312yes—
759#380C2314yes—
760#380C2312yes—
761#380C2312yes—
762#380C2311yescharacteristic
763#379C2312yes—
764#379C2312yes—
765#379C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2312yes—
817#376C2314yes—
818#376C2312yes—
819C2×#95C2314yes—
820C2×#95C2314yes—
821C2×#95C2312yes—
822C43C2312yes—
823C43C2311yescharacteristic
824C25C2412yes—
825C2×#41—28no—
826C2×#41—28no—
827C2×#41—48no—
828C2×#41—48no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—48no—
833C2×#41—44no—
834C2×#41—44no—
835C2×#41—44no—
836C2×#41—44no—
837C22×Q8C2412yes—
838C22×Q8C2412yes—
839C22×Q8C2411yescharacteristic
840C22×Q8C2414yes—
841C22×D4—24no—
842C22×D4—42no—
843C22×D4—42no—
844C22×D4C2411yescharacteristic
845C22×D4C2412yes—
846C22×D4C2411yescharacteristic
847C22×D4C2412yes—
848C22×D4C2411yescharacteristic
849C22×D4C2414yes—
850C22×D4C2412yes—
851C22×D4C2414yes—
852C22×D4C2412yes—
853C22×D4C2411yescharacteristic
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2414yes—
858C22×D4C2412yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C23×C4—28no—
867C23×C4—44no—
868C23×C4—44no—
869C23×C4C2411yescharacteristic
870C23×C4C2412yes—
871C23×C4C2411yescharacteristic
872C23×C4C2412yes—
873C23×C4C2411yescharacteristic
874C23×C4C2412yes—
875C23×C4C2412yes—
876C23×C4C2411yescharacteristic
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2414yes—
880C23×C4C2414yes—
881C23×C4C2412yes—
882C23×C4C2412yes—
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2414yes—
886C23×C4C2412yes—
887C23×C4C2412yes—
888C23×C4C2414yes—
889C23×C4C2414yes—
890C4⋊Q8—28no—
891C4⋊Q8—24no—
892C4⋊Q8—24no—
893C4⋊Q8—44no—
894C4⋊Q8—44no—
895#127—28no—
896#127—24no—
897#127—44no—
898#127—44no—
899#127—48no—
900#126—28no—
901#126—44no—
902#126—48no—
903#125—24no—
904#125—42no—
905#125—44no—
906#124—24no—
907#124—44no—
908#124—42no—
909#124—44no—
910#124—44no—
911#124—44no—
912#124—44no—
913#124—48no—
914#124—48no—
915#123—216no—
916#123—28no—
917#123—48no—
918#123—48no—
919#123—44no—
920#123—48no—
921#123—48no—
922#123—48no—
923#123—48no—
924C22⋊Q8—28no—
925C22⋊Q8—28no—
926C22⋊Q8—28no—
927C22⋊Q8—48no—
928C22⋊Q8—42no—
929C22⋊Q8—44no—
930C22⋊Q8—42no—
931C22⋊Q8—44no—
932C22⋊Q8—44no—
933C22⋊Q8—48no—
934C22⋊Q8—44no—
935C22⋊Q8—44no—
936#121—24no—
937#121—24no—
938#121—28no—
939#121—28no—
940#121—24no—
941#121—28no—
942#121—28no—
943#121—48no—
944#121—48no—
945#121—48no—
946#121—48no—
947#121—44no—
948#121—42no—
949#121—44no—
950#121—44no—
951#121—44no—
952#121—44no—
953#121—44no—
954#121—44no—
955#121—44no—
956#121—44no—
957#121—44no—
958#121—48no—
959#120—216no—
960#120—48no—
961#120—48no—
962#120—44no—
963C4×Q8—24no—
964C4×Q8—44no—
965C4×Q8—44no—
966C4×Q8—44no—
967C4×Q8—44no—
968C4×D4—28no—
969C4×D4—24no—
970C4×D4—24no—
971C4×D4—24no—
972C4×D4—216no—
973C4×D4—216no—
974C4×D4—28no—
975C4×D4—24no—
976C4×D4—24no—
977C4×D4—24no—
978C4×D4—44no—
979C4×D4—48no—
980C4×D4—42no—
981C4×D4—42no—
982C4×D4—48no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—44no—
990C4×D4—42no—
991C4×D4—44no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—42no—
995C4×D4—44no—
996C4×D4—48no—
997C4×D4—48no—
998C4×D4—48no—
999#117—24no—
1000#117—44no—
1001#117—44no—
1002#117—44no—
1003#117#4118yescomplemented
1004C2×C4⋊C4—24no—
1005C2×C4⋊C4—24no—
1006C2×C4⋊C4—42no—
1007C2×C4⋊C4—44no—
1008C2×C4⋊C4—44no—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C22⋊C4—44no—
1065C2×C22⋊C4—48no—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2411yescharacteristic
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2411yescharacteristic
1114C2×C22⋊C4C2411yescharacteristic
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2411yescharacteristic
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2412yes—
1138C2×C42—24no—
1139C2×C42—24no—
1140C2×C42—44no—
1141C2×C42—44no—
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2412yes—
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2412yes—
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157C2×C42C2412yes—
1158C2×C42C2414yes—
1159C2×C42C2412yes—
1160C2×C42C2412yes—
1161C2×C42C2412yes—
1162C2×C42C2411yescharacteristic
1163C2×C42C2412yes—
1164C2×C42C2414yes—
1165C2×C42C2414yes—
1166C2×C42C2412yes—
1167C2×C42C2414yes—
1168C2×C42C2411yescharacteristic
1169C2×C42C2412yes—
1170C2×C42C2412yes—
1171C2×C42C2411yescharacteristic
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2411yescharacteristic
1190#95C2411yescharacteristic
1191#95C2411yescharacteristic
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2411yescharacteristic
1197#95C2412yes—
1198#95C2412yes—
1199#95C2411yescharacteristic
1200#95C2412yes—
1201#95C2411yescharacteristic
1202#95C2412yes—
1203#95C2412yes—
1204#95C2414yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2414yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2412yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230C24—24no—
1231C24—24no—
1232C24—42no—
1233C24—42no—
1234C24—42no—
1235C24—42no—
1236C24—42no—
1237C24C2512yes—
1238C24C2512yes—
1239C24C2514yes—
1240C24C2511yescharacteristic
1241C24C2512yes—
1242C24C2511yescharacteristic
1243#41—816no—
1244#41—816no—
1245#41—832no—
1246#41—816no—
1247C2×Q8—24no—
1248C2×Q8—22no—
1249C2×Q8—24no—
1250C2×Q8—24no—
1251C2×Q8—24no—
1252C2×Q8—24no—
1253C2×Q8—22no—
1254C2×Q8—28no—
1255C2×Q8—24no—
1256C2×Q8—22no—
1257C2×Q8—44no—
1258C2×Q8—44no—
1259C2×D4—22no—
1260C2×D4—28no—
1261C2×D4—28no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—22no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—28no—
1268C2×D4—24no—
1269C2×D4—28no—
1270C2×D4—24no—
1271C2×D4—28no—
1272C2×D4—28no—
1273C2×D4—24no—
1274C2×D4—22no—
1275C2×D4—24no—
1276C2×D4—28no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—28no—
1282C2×D4—24no—
1283C2×D4—24no—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—22no—
1287C2×D4—24no—
1288C2×D4—22no—
1289C2×D4—24no—
1290C2×D4—22no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—41no—
1294C2×D4—42no—
1295C2×D4—42no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—42no—
1299C2×D4—44no—
1300C2×D4—42no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—42no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—42no—
1313C2×D4—44no—
1314C2×D4—42no—
1315C2×D4—42no—
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—416no—
1325C2×D4H(5,𝔽2)14yes—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—24no—
1330C22×C4—24no—
1331C22×C4—28no—
1332C22×C4—28no—
1333C22×C4—22no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—24no—
1342C22×C4—22no—
1343C22×C4—24no—
1344C22×C4—24no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—24no—
1353C22×C4—24no—
1354C22×C4—24no—
1355C22×C4—24no—
1356C22×C4—24no—
1357C22×C4—28no—
1358C22×C4—22no—
1359C22×C4—24no—
1360C22×C4—42no—
1361C22×C4—41no—
1362C22×C4—42no—
1363C22×C4—42no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—44no—
1367C22×C4—44no—
1368C22×C4—42no—
1369C22×C4—42no—
1370C22×C4—42no—
1371C22×C4—42no—
1372C22×C4—44no—
1373C22×C4—44no—
1374C22×C4—44no—
1375C22×C4—44no—
1376C22×C4—44no—
1377C22×C4—44no—
1378C22×C4—41no—
1379C22×C4—42no—
1380C22×C4—42no—
1381C22×C4—41no—
1382C22×C4—42no—
1383C22×C4—42no—
1384C22×C4—44no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—816no—
1389C22×C4C2×#4114yes—
1390C22×C4C2512yes—
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C22×C4C2512yes—
1394C22×C4C2512yes—
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2511yescharacteristic
1400C22×C4C2511yescharacteristic
1401C22×C4C2514yes—
1402C22×C4C2511yescharacteristic
1403C22×C4C2512yes—
1404C22×C4C2514yes—
1405C22×C4C2514yes—
1406C22×C4C2511yescharacteristic
1407C22×C4C2512yes—
1408C22×C4C2512yes—
1409C22×C4C2511yescharacteristic
1410C22×C4C2511yescharacteristic
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C22×C4C2512yes—
1414C22×C4C2512yes—
1415C22×C4C2511yescharacteristic
1416C22×C4C2512yes—
1417C22×C4C2511yescharacteristic
1418C22×C4C2511yescharacteristic
1419C4⋊C4—22no—
1420C4⋊C4—24no—
1421C4⋊C4—28no—
1422C4⋊C4—28no—
1423C4⋊C4—24no—
1424C4⋊C4—22no—
1425C4⋊C4—24no—
1426C4⋊C4—22no—
1427C4⋊C4—24no—
1428C4⋊C4—22no—
1429C4⋊C4—22no—
1430C4⋊C4—22no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—22no—
1434C4⋊C4—24no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—22no—
1438C4⋊C4—24no—
1439C4⋊C4—28no—
1440C4⋊C4—22no—
1441C4⋊C4—24no—
1442C4⋊C4—28no—
1443C4⋊C4—22no—
1444C4⋊C4—42no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—42no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—41no—
1456C4⋊C4—41no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—44no—
1460C4⋊C4—42no—
1461C4⋊C4—44no—
1462C4⋊C4—42no—
1463C4⋊C4—42no—
1464C4⋊C4—44no—
1465C4⋊C4—44no—
1466C4⋊C4—44no—
1467C4⋊C4—44no—
1468C4⋊C4—42no—
1469C4⋊C4—44no—
1470C4⋊C4—42no—
1471C4⋊C4C2×#4114yes—
1472C4⋊C4C2×#4114yes—
1473C4⋊C4H(5,𝔽2)14yes—
1474C22⋊C4—22no—
1475C22⋊C4—28no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—28no—
1482C22⋊C4—28no—
1483C22⋊C4—28no—
1484C22⋊C4—28no—
1485C22⋊C4—24no—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—24no—
1490C22⋊C4—24no—
1491C22⋊C4—24no—
1492C22⋊C4—24no—
1493C22⋊C4—28no—
1494C22⋊C4—28no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—44no—
1506C22⋊C4—42no—
1507C22⋊C4—44no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—41no—
1512C22⋊C4—41no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—42no—
1516C22⋊C4—41no—
1517C22⋊C4—44no—
1518C22⋊C4—42no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—42no—
1528C22⋊C4—42no—
1529C22⋊C4—42no—
1530C22⋊C4—44no—
1531C22⋊C4—42no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—42no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4C2×#4118yes—
1546C42—22no—
1547C42—22no—
1548C42—22no—
1549C42—22no—
1550C42—22no—
1551C42—22no—
1552C42—22no—
1553C42—22no—
1554C42—24no—
1555C42—24no—
1556C42—24no—
1557C42—22no—
1558C42—24no—
1559C42—24no—
1560C42—24no—
1561C42—22no—
1562C42—42no—
1563C42—42no—
1564C42—42no—
1565C42—42no—
1566C42—42no—
1567C42—41no—
1568C42—44no—
1569C42—42no—
1570C42—41no—
1571C42—44no—
1572C42—44no—
1573C42—44no—
1574C42C2×#4118yes—
1575C42H(5,𝔽2)14yes—
1576C23—22no—
1577C23—21no—
1578C23—21no—
1579C23—22no—
1580C23—21no—
1581C23—21no—
1582C23—22no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—22no—
1590C23—22no—
1591C23—22no—
1592C23—21no—
1593C23—21no—
1594C23—22no—
1595C23—22no—
1596C23—24no—
1597C23—22no—
1598C23—22no—
1599C23—22no—
1600C23—24no—
1601C23—22no—
1602C23—22no—
1603C23—24no—
1604C23—24no—
1605C23—22no—
1606C23—24no—
1607C23—22no—
1608C23—24no—
1609C23—22no—
1610C23—22no—
1611C23—22no—
1612C23—22no—
1613C23—24no—
1614C23—22no—
1615C23—48no—
1616C23—48no—
1617C23—84no—
1618C23—84no—
1619C23—84no—
1620C23—84no—
1621C23—84no—
1622C23C22×#4112yes—
1623C23C2×H(5,𝔽2)14yes—
1624C23#58512yes—
1625C23C2611yescharacteristic
1626Q8—48no—
1627Q8—48no—
1628Q8—44no—
1629Q8—88no—
1630D4—28no—
1631D4—416no—
1632D4—48no—
1633D4—416no—
1634D4—44no—
1635D4—48no—
1636D4—48no—
1637D4—44no—
1638D4—48no—
1639D4—44no—
1640D4—48no—
1641D4—88no—
1642D4—84no—
1643D4—84no—
1644D4—84no—
1645D4—88no—
1646D4—88no—
1647D4—88no—
1648D4—88no—
1649D4—88no—
1650D4—164no—
1651D4—164no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—21no—
1662C2×C4—28no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—24no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—22no—
1688C2×C4—24no—
1689C2×C4—24no—
1690C2×C4—24no—
1691C2×C4—24no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—24no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—21no—
1700C2×C4—24no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—24no—
1713C2×C4—24no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—21no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—44no—
1730C2×C4—48no—
1731C2×C4—44no—
1732C2×C4—48no—
1733C2×C4—48no—
1734C2×C4—44no—
1735C2×C4—44no—
1736C2×C4—48no—
1737C2×C4—84no—
1738C2×C4—84no—
1739C2×C4—84no—
1740C2×C4—82no—
1741C2×C4—84no—
1742C2×C4—84no—
1743C2×C4—88no—
1744C2×C4—84no—
1745C2×C4—88no—
1746C2×C4—88no—
1747C2×C4—88no—
1748C2×C4—88no—
1749C2×C4C22×#4112yes—
1750C2×C4C22×#4114yes—
1751C2×C4C22×#4114yes—
1752C2×C4C22×#4112yes—
1753C2×C4C2×H(5,𝔽2)12yes—
1754C2×C4C2×H(5,𝔽2)14yes—
1755C2×C4C2×H(5,𝔽2)12yes—
1756C2×C4C2×H(5,𝔽2)12yes—
1757C2×C4C2×H(5,𝔽2)12yes—
1758C2×C4C2×H(5,𝔽2)12yes—
1759C2×C4#58512yes—
1760C22—24no—
1761C22—22no—
1762C22—22no—
1763C22—24no—
1764C22—22no—
1765C22—22no—
1766C22—22no—
1767C22—22no—
1768C22—24no—
1769C22—41no—
1770C22—41no—
1771C22—42no—
1772C22—41no—
1773C22—42no—
1774C22—41no—
1775C22—42no—
1776C22—41no—
1777C22—41no—
1778C22—42no—
1779C22—41no—
1780C22—41no—
1781C22—42no—
1782C22—44no—
1783C22—42no—
1784C22—44no—
1785C22—42no—
1786C22—42no—
1787C22—42no—
1788C22—44no—
1789C22—42no—
1790C22—42no—
1791C22—42no—
1792C22—44no—
1793C22—42no—
1794C22—44no—
1795C22—42no—
1796C22—44no—
1797C22—42no—
1798C22—42no—
1799C22—42no—
1800C22—44no—
1801C22—42no—
1802C22—816no—
1803C22C23×#4111yescharacteristic
1804C22C22×H(5,𝔽2)11yescharacteristic
1805C22C22×H(5,𝔽2)11yescharacteristic
1806C22C22×H(5,𝔽2)11yescharacteristic
1807C22C2×#58511yescharacteristic
1808C22C2×#58511yescharacteristic
1809C222−1+611yescharacteristic
1810C4—24no—
1811C4—24no—
1812C4—22no—
1813C4—24no—
1814C4—22no—
1815C4—41no—
1816C4—42no—
1817C4—42no—
1818C4—41no—
1819C4—42no—
1820C4—44no—
1821C4—41no—
1822C4—42no—
1823C4—42no—
1824C4—44no—
1825C4—41no—
1826C4—41no—
1827C4—42no—
1828C4—42no—
1829C4—41no—
1830C4—41no—
1831C4—42no—
1832C4—41no—
1833C4—42no—
1834C4—41no—
1835C4—42no—
1836C4—44no—
1837C4#350814yes—
1838C4#354214yes—
1839C2—42no—
1840C2—44no—
1841C2—42no—
1842C2—82no—
1843C2—84no—
1844C2—82no—
1845C2C2×#354211yescharacteristic
1846C2C2×#350811yescharacteristic
1847C2#6281611yescharacteristic
1848C2#6292211yescharacteristic
1849C2#6295411yescharacteristic
1850C2#6298511yescharacteristic
1851C2#6301211yescharacteristic
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. #59474C2semidirect
2. #59450C2semidirect
3. #59040C2semidirect
4. #59033C2semidirect
5. #59023C2semidirect
6. #51165C2semidirect
7. #50844C2semidirect
8. #45632C2semidirect
9. #45625C2semidirect
10. #45075C2semidirect
11. #44882C2semidirect
12. #44139C2semidirect
13. #42541C2semidirect
14. #42533C2semidirect
15. #41976C2semidirect
16. #39888C2semidirect
17. #39876C2semidirect
18. #39862C2semidirect
19. #39532C2semidirect
20. #39202C2semidirect
21. #39138C2semidirect
22. #37669C2semidirect
23. #36288C2semidirect
24. #36153C2semidirect
25. #36150C2semidirect
26. #36149C2semidirect
27. #36126C2semidirect
28. #36125C2semidirect
29. #35241C2semidirect
30. #35197C2semidirect
31. #35170C2semidirect
32. #34936C2semidirect
33. #34700C2semidirect
34. #34404C2semidirect
35. C4×#553C2semidirect
37. C2×#550C22semidirect
39. C2×#547C22semidirect
41. C2×#542C22semidirect
42. C2×#533C22semidirect
50. #2862C22semidirect
51. #2858C22semidirect
53. #2857C22semidirect
54. #2857C22semidirect
55. #2856C22semidirect
57. #2854C22semidirect
59. #2850C22semidirect
61. #2837C22semidirect
62. #2836C22semidirect
63. #2807C22semidirect
64. #2797C22semidirect
65. #2771C22semidirect
66. #2761C22semidirect
67. #2754C22semidirect
68. #2753C22semidirect
69. #2752C22semidirect
70. #2752C22semidirect
71. #2751C22semidirect
72. #2748C22semidirect
73. #2743C22semidirect
74. #2740C22semidirect
75. #2732C22semidirect
76. #2730C22semidirect
77. #2714C22semidirect
81. #2705C22semidirect
86. #2694C22semidirect
93. #2673C22semidirect
96. #2664C22semidirect
97. #2663C22semidirect
98. #2648C22semidirect
99. #2648C22semidirect
100. #2636C22semidirect
103. #2624C22semidirect
104. #2619C22semidirect
105. #2612C22semidirect
106. #2603C22semidirect
108. #2575C22semidirect
110. #2571C22semidirect
111. #2568C22semidirect
112. #2565C22semidirect
113. #2554C22semidirect
114. #2551C22semidirect
117. #2547C22semidirect
118. #2546C22semidirect
121. #2544C22semidirect
127. #2541C22semidirect
131. #2540C22semidirect
133. #2538C22semidirect
136. #2535C22semidirect
137. #2535C22semidirect
139. #2521C22semidirect
140. #2516C22semidirect
141. #2513C22semidirect
142. #2511C22semidirect
143. #2508C22semidirect
144. #2503C22semidirect
146. #2498C22semidirect
147. #2496C22semidirect
149. #2492C22semidirect
151. #2491C22semidirect
153. #2490C22semidirect
154. #2490C22semidirect
155. #2489C22semidirect
158. #2471C22semidirect
160. #2467C22semidirect
161. #2464C22semidirect
162. #2464C22semidirect
163. #2461C22semidirect
164. #2459C22semidirect
166. #2457C22semidirect
167. #2457C22semidirect
169. #2454C22semidirect
170. #2452C22semidirect
171. #2450C22semidirect
172. #2448C22semidirect
173. #2448C22semidirect
176. #2447C22semidirect
177. #2447C22semidirect
178. #2447C22semidirect
180. #2445C22semidirect
181. #2444C22semidirect
186. #2432C22semidirect
191. #2430C22semidirect
193. #2428C22semidirect
194. #2428C22semidirect
197. #2427C22semidirect
198. #2427C22semidirect
199. #2427C22semidirect
201. #2426C22semidirect
202. #2426C22semidirect
204. #2423C22semidirect
205. #2421C22semidirect
207. #2420C22semidirect
208. #2420C22semidirect
209. #2420C22semidirect
210. #2420C22semidirect
211. #2419C22semidirect
215. #2417C22semidirect
216. #2417C22semidirect
217. #2417C22semidirect
219. #2416C22semidirect
226. #2407C22semidirect
227. #2407C22semidirect
235. #2373C22semidirect
236. #2370C22semidirect
237. #2369C22semidirect
238. #2367C22semidirect
239. #2366C22semidirect
240. #2365C22semidirect
243. #2363C22semidirect
244. #2361C22semidirect
245. #2361C22semidirect
246. #2361C22semidirect
247. #2361C22semidirect
248. #2360C22semidirect
249. #2360C22semidirect
251. #2357C22semidirect
252. #2355C22semidirect
253. #2353C22semidirect
254. #2353C22semidirect
256. #2349C22semidirect
260. #2345C22semidirect
265. #2339C22semidirect
266. #2339C22semidirect
267. #2328C22semidirect
268. #2324C22semidirect
269. #2324C22semidirect
270. #2323C22semidirect
271. #2323C22semidirect
272. #2323C22semidirect
275. #2319C22semidirect
276. #2318C22semidirect
277. C4×C4⋊Q8C22semidirect
280. C4×#125C22semidirect
281. C4×#126C22semidirect
288. C4×#121C22semidirect
290. #2295C22semidirect
295. C42×D4C22semidirect
296. C42×D4C22semidirect
298. C2×C4×C4⋊C4C22semidirect
1003. #117#41semidirect

Maximal subgroups

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

subgroupindex
#594742
#594502
#590402
#590332
#590232
#511652
#508442
#456322
#456252
#450752
#448822
#441392
#425412
#425332
#419762
#398882
#398762
#398622
#395322
#392022
#391382
#376692
#362882
#361532
#361502
#361492
#361262
#361252
#352412
#351972
#351702
#349362
#347002
#344042
C4×#5532