Finite Group Databasebeta

← #7712247

Subgroups — #7712247

Order 512.

5097 conjugacy classes of subgroups.

The subgroup lattice has 1888 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59697C212yesmaximal, complemented
2#59479C212yesmaximal, complemented
3#59323C212yesmaximal, complemented
4#59307C212yesmaximal, complemented
5#46109C212yesmaximal, complemented
6#46108C212yesmaximal, complemented
7#45675C212yesmaximal, complemented
8#45632C212yesmaximal, complemented
9#40214C212yesmaximal, complemented
10#40191C212yesmaximal, complemented
11#40103C212yesmaximal, complemented
12#40076C212yesmaximal, complemented
13#40003C212yesmaximal, complemented
14#39976C212yesmaximal, complemented
15#39938C212yesmaximal, complemented
16#39915C212yesmaximal, complemented
17#39809C212yesmaximal, complemented
18#39417C212yesmaximal, complemented
19#37774C212yesmaximal, complemented
20#37750C212yesmaximal, complemented
21#37594C212yesmaximal, complemented
22#37384C212yesmaximal, complemented
23#37379C212yesmaximal, complemented
24#36645C211yesmaximal, characteristic, complemented
25#36631C211yesmaximal, characteristic, complemented
26#36609C211yesmaximal, characteristic, complemented
27#36598C211yesmaximal, characteristic, complemented
28#36150C211yesmaximal, characteristic, complemented
29#36150C211yesmaximal, characteristic, complemented
30#36149C211yesmaximal, characteristic, complemented
31#36134C211yesmaximal, characteristic, complemented
32#36129C211yesmaximal, characteristic, complemented
33#36129C211yesmaximal, characteristic, complemented
34#35319C211yesmaximal, characteristic, complemented
35#35317C211yesmaximal, characteristic, complemented
36#35298C211yesmaximal, characteristic, complemented
37#35284C211yesmaximal, characteristic, complemented
38#34439C212yesmaximal, complemented
39C4×#529C211yesmaximal, characteristic, complemented
40C2×#541C2212yes—
41C2×#536C2212yes—
42C2×#536C2212yes—
43C2×#533C2211yescharacteristic
44C2×#533C2211yescharacteristic
45C2×#533C2211yescharacteristic
46C2×#532C2211yescharacteristic
47C2×#532C2211yescharacteristic
48C22×C4⋊Q8C2211yescharacteristic
49C2×#529C2211yescharacteristic
50C2×#529C2212yes—
51#2868C2211yescharacteristic
52#2868C2211yescharacteristic
53#2868C2211yescharacteristic
54#2862C2211yescharacteristic
55#2862C2211yescharacteristic
56#2862C2211yescharacteristic
57#2861C2212yes—
58#2860C2212yes—
59#2860C2212yes—
60#2859C2211yescharacteristic
61#2859C2212yes—
62#2859C2212yes—
63#2858C2211yescharacteristic
64#2858C2211yescharacteristic
65#2858C2211yescharacteristic
66#2857C2212yes—
67#2857C2211yescharacteristic
68#2857C2211yescharacteristic
69#2857C2211yescharacteristic
70#2857C2211yescharacteristic
71#2857C2212yes—
72#2857C2212yes—
73#2857C2212yes—
74#2857C2211yescharacteristic
75#2856C2211yescharacteristic
76#2854C2212yes—
77#2854C2212yes—
78#2850C2212yes—
79#2837C2214yes—
80#2836C2214yes—
81#2807C2214yes—
82#2798C2214yes—
83#2777C2214yes—
84#2773C2214yes—
85#2773C2214yes—
86#2771C2214yes—
87#2768C2214yes—
88#2748C2214yes—
89#2743C2214yes—
90#2741C2214yes—
91#2740C2214yes—
92#2738C2214yes—
93#2727C2214yes—
94#2723C2214yes—
95#2721C2214yes—
96#2720C2214yes—
97#2718C2214yes—
98#2710C2214yes—
99#2707C2214yes—
100#2706C2214yes—
101#2705C2214yes—
102#2705C2214yes—
103#2704C2214yes—
104#2703C2214yes—
105#2702C2214yes—
106#2696C2214yes—
107#2695C2214yes—
108#2694C2214yes—
109#2693C2214yes—
110#2692C2214yes—
111#2689C2214yes—
112#2687C2214yes—
113#2667C2214yes—
114#2658C2212yes—
115#2658C2212yes—
116#2654C2214yes—
117#2651C2214yes—
118#2649C2214yes—
119#2647C2212yes—
120#2642C2212yes—
121#2629C2212yes—
122#2621C2212yes—
123#2620C2212yes—
124#2620C2212yes—
125#2596C2214yes—
126#2596C2214yes—
127#2592C2212yes—
128#2592C2212yes—
129#2589C2214yes—
130#2582C2212yes—
131#2580C2212yes—
132#2575C2214yes—
133#2571C2212yes—
134#2570C2212yes—
135#2570C2212yes—
136#2568C2212yes—
137#2566C2212yes—
138#2566C2212yes—
139#2560C2214yes—
140#2558C2214yes—
141#2556C2214yes—
142#2554C2214yes—
143#2552C2212yes—
144#2550C2212yes—
145#2550C2212yes—
146#2545C2212yes—
147#2545C2212yes—
148#2542C2212yes—
149#2542C2212yes—
150#2542C2212yes—
151#2542C2212yes—
152#2542C2212yes—
153#2540C2212yes—
154#2540C2212yes—
155#2538C2212yes—
156#2535C2212yes—
157#2522C2214yes—
158#2516C2214yes—
159#2513C2212yes—
160#2513C2212yes—
161#2511C2212yes—
162#2511C2212yes—
163#2507C2212yes—
164#2507C2212yes—
165#2506C2212yes—
166#2506C2212yes—
167#2506C2212yes—
168#2506C2212yes—
169#2501C2212yes—
170#2501C2212yes—
171#2501C2212yes—
172#2501C2212yes—
173#2500C2212yes—
174#2500C2212yes—
175#2497C2212yes—
176#2497C2212yes—
177#2496C2212yes—
178#2496C2212yes—
179#2496C2212yes—
180#2496C2212yes—
181#2492C2212yes—
182#2492C2212yes—
183#2490C2212yes—
184#2490C2212yes—
185#2479C2214yes—
186#2470C2214yes—
187#2467C2214yes—
188#2457C2214yes—
189#2454C2212yes—
190#2454C2212yes—
191#2454C2214yes—
192#2451C2212yes—
193#2451C2212yes—
194#2450C2214yes—
195#2448C2212yes—
196#2448C2212yes—
197#2448C2212yes—
198#2448C2212yes—
199#2447C2212yes—
200#2447C2212yes—
201#2447C2212yes—
202#2447C2212yes—
203#2446C2212yes—
204#2446C2212yes—
205#2446C2212yes—
206#2446C2212yes—
207#2446C2212yes—
208#2446C2212yes—
209#2442C2212yes—
210#2442C2212yes—
211#2441C2212yes—
212#2441C2212yes—
213#2441C2214yes—
214#2439C2212yes—
215#2439C2212yes—
216#2438C2214yes—
217#2432C2212yes—
218#2432C2212yes—
219#2429C2212yes—
220#2429C2212yes—
221#2429C2212yes—
222#2429C2212yes—
223#2429C2212yes—
224#2429C2212yes—
225#2427C2212yes—
226#2427C2212yes—
227#2427C2212yes—
228#2427C2212yes—
229#2426C2212yes—
230#2426C2212yes—
231#2426C2212yes—
232#2426C2212yes—
233#2423C2212yes—
234#2423C2212yes—
235#2420C2212yes—
236#2420C2212yes—
237#2417C2212yes—
238#2417C2212yes—
239#2414C2212yes—
240#2414C2212yes—
241#2409C2212yes—
242#2409C2212yes—
243#2407C2212yes—
244#2407C2212yes—
245#2407C2212yes—
246#2407C2212yes—
247#2378C2214yes—
248#2376C2214yes—
249#2374C2214yes—
250#2368C2214yes—
251#2367C2212yes—
252#2367C2212yes—
253#2367C2212yes—
254#2367C2212yes—
255#2365C2212yes—
256#2365C2212yes—
257#2363C2212yes—
258#2363C2212yes—
259#2360C2212yes—
260#2360C2212yes—
261#2357C2212yes—
262#2355C2212yes—
263#2355C2212yes—
264#2354C2212yes—
265#2352C2212yes—
266#2352C2212yes—
267Q8×C4⋊C4C2212yes—
268#2349C2212yes—
269#2341C2212yes—
270#2341C2212yes—
271Q8×C22⋊C4C2212yes—
272Q8×C22⋊C4C2212yes—
273#2339C2212yes—
274#2339C2212yes—
275#2335C2214yes—
276#2335C2214yes—
277#2332C2214yes—
278#2330C2212yes—
279#2329C2214yes—
280#2327C2212yes—
281#2326C2212yes—
282#2326C2212yes—
283#2314C2212yes—
284C4×C4⋊Q8C2211yescharacteristic
285C4×C4⋊Q8C2211yescharacteristic
286C4×C4⋊Q8C2212yes—
287C4×C4⋊Q8C2211yescharacteristic
288C4×C4⋊Q8C2212yes—
289C4×C4⋊Q8C2212yes—
290C4×C4⋊Q8C2212yes—
291C4×C4⋊Q8C2211yescharacteristic
292C4×C4⋊Q8C2211yescharacteristic
293C4×#127C2211yescharacteristic
294C4×#125C2211yescharacteristic
295C4×#125C2211yescharacteristic
296C4×#126C2211yescharacteristic
297C4×#126C2211yescharacteristic
298C4×#126C2211yescharacteristic
299C4×#126C2211yescharacteristic
300C4×#124C2211yescharacteristic
301C4×#124C2212yes—
302C4×#124C2211yescharacteristic
303C4×C22⋊Q8C2211yescharacteristic
304C4×C22⋊Q8C2211yescharacteristic
305C4×#123C2211yescharacteristic
306C4×#123C2211yescharacteristic
307C4×#123C2211yescharacteristic
308C4×#123C2211yescharacteristic
309C4×#121C2212yes—
310C4×#121C2212yes—
311C4×#121C2211yescharacteristic
312C4×#121C2211yescharacteristic
313#2298C2211yescharacteristic
314#2298C2211yescharacteristic
315#2295C2211yescharacteristic
316#2293C2212yes—
317#2293C2212yes—
318#2293C2211yescharacteristic
319#2290C2211yescharacteristic
320#2290C2211yescharacteristic
321#2285C2212yes—
322#2285C2212yes—
323#2283C2211yescharacteristic
324C42×Q8C2211yescharacteristic
325C42×D4C2211yescharacteristic
326C42×D4C2211yescharacteristic
327C42×D4C2211yescharacteristic
328C4×#117C2211yescharacteristic
329C4×#117C2211yescharacteristic
330C2×C43C2211yescharacteristic
331C22×#41C2312yes—
332C22×#41C2312yes—
333C23×Q8C2312yes—
334#541—48no—
335#536—216no—
336#536—48no—
337#533—44no—
338#533—44no—
339#533—44no—
340#532—44no—
341#532—44no—
342C2×C4⋊Q8—44no—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2311yescharacteristic
346C2×C4⋊Q8C2311yescharacteristic
347C2×C4⋊Q8C2311yescharacteristic
348C2×C4⋊Q8C2311yescharacteristic
349C2×C4⋊Q8C2312yes—
350C2×C4⋊Q8C2312yes—
351C2×C4⋊Q8C2312yes—
352C2×C4⋊Q8C2312yes—
353C2×C4⋊Q8C2312yes—
354C2×C4⋊Q8C2312yes—
355C2×C4⋊Q8C2312yes—
356C2×C4⋊Q8C2312yes—
357C2×#127C2311yescharacteristic
358#529—28no—
359#529—48no—
360C2×#126C2311yescharacteristic
361C2×#126C2311yescharacteristic
362C2×#126C2314yes—
363C2×#126C2314yes—
364C2×#126C2314yes—
365C2×#125C2311yescharacteristic
366C2×#125C2312yes—
367C2×#125C2312yes—
368C2×#125C2312yes—
369C2×#125C2312yes—
370C2×#125C2314yes—
371C2×#125C2314yes—
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2311yescharacteristic
376C2×#124C2312yes—
377C2×#124C2312yes—
378C2×#124C2312yes—
379C2×#124C2312yes—
380C2×#124C2312yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2311yescharacteristic
384C2×#123C2311yescharacteristic
385C2×#123C2314yes—
386C2×#123C2314yes—
387C2×#123C2314yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2311yescharacteristic
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2314yes—
404C2×#121C2312yes—
405C2×#121C2311yescharacteristic
406C2×#121C2312yes—
407C2×#121C2312yes—
408C2×#121C2312yes—
409C2×#121C2312yes—
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×C4×Q8C2311yescharacteristic
413C2×C4×Q8C2311yescharacteristic
414C2×C4×Q8C2312yes—
415C2×C4×Q8C2312yes—
416C2×C4×Q8C2312yes—
417C2×C4×Q8C2312yes—
418C2×C4×Q8C2312yes—
419C2×C4×Q8C2312yes—
420C2×C4×Q8C2312yes—
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2312yes—
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2311yescharacteristic
425C2×C4×Q8C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2311yescharacteristic
428C2×C4×D4C2311yescharacteristic
429C2×C4×D4C2311yescharacteristic
430C2×C4×D4C2311yescharacteristic
431C2×C4×D4C2311yescharacteristic
432C2×C4×D4C2311yescharacteristic
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2311yescharacteristic
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2314yes—
442C2×C4×D4C2311yescharacteristic
443C2×#117C2311yescharacteristic
444C2×#117C2311yescharacteristic
445C2×#117C2311yescharacteristic
446C2×#117C2312yes—
447C2×#117C2312yes—
448C2×#117C2312yes—
449C2×#117C2314yes—
450C2×#117C2311yescharacteristic
451C22×C4⋊C4C2312yes—
452C22×C4⋊C4C2312yes—
453C22×C42C2311yescharacteristic
454C22×C42C2311yescharacteristic
455C22×C42C2311yescharacteristic
456C22×C42C2311yescharacteristic
457C22×C42C2311yescharacteristic
458C22×C42C2311yescharacteristic
459C22×C42C2311yescharacteristic
460C22×C42C2311yescharacteristic
461C22×C42C2311yescharacteristic
462#400C2314yes—
463#400C2314yes—
464#400C2314yes—
465#400C2314yes—
466#400C2314yes—
467#400C2314yes—
468#400C2314yes—
469#400C2314yes—
470#400C2314yes—
471#400C2314yes—
472#400C2314yes—
473#400C2314yes—
474#399C2314yes—
475#399C2314yes—
476#399C2314yes—
477#399C2314yes—
478#399C2314yes—
479#399C2314yes—
480#399C2314yes—
481#399C2314yes—
482#399C2314yes—
483#399C2314yes—
484#399C2314yes—
485#399C2314yes—
486#399C2314yes—
487#398C2314yes—
488#398C2314yes—
489#398C2314yes—
490#398C2314yes—
491#398C2314yes—
492#398C2314yes—
493#398C2314yes—
494#398C2314yes—
495#398C2314yes—
496#398C2314yes—
497#398C2314yes—
498#398C2314yes—
499#398C2314yes—
500#398C2314yes—
501#397C2314yes—
502#397C2314yes—
503#397C2314yes—
504#397C2314yes—
505#397C2314yes—
506#397C2314yes—
507#397C2314yes—
508#397C2314yes—
509#397C2314yes—
510#397C2314yes—
511#397C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2314yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#395C2314yes—
525#395C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#393C2314yes—
537#393C2314yes—
538#393C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#391C2314yes—
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2312yes—
547#391C2312yes—
548#391C2312yes—
549#391C2312yes—
550#391C2312yes—
551#391C2312yes—
552#391C2312yes—
553#391C2312yes—
554#391C2312yes—
555#391C2312yes—
556#391C2312yes—
557#391C2314yes—
558#391C2312yes—
559#391C2312yes—
560#391C2312yes—
561#391C2312yes—
562#391C2314yes—
563#391C2314yes—
564#391C2314yes—
565#391C2311yescharacteristic
566#391C2312yes—
567#391C2312yes—
568#391C2312yes—
569#391C2312yes—
570#391C2311yescharacteristic
571#390C2314yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2314yes—
583#390C2314yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2314yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2314yes—
594#390C2314yes—
595#390C2314yes—
596#390C2311yescharacteristic
597#390C2311yescharacteristic
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2314yes—
608#389C2312yes—
609#389C2312yes—
610#389C2314yes—
611#389C2314yes—
612#389C2314yes—
613#389C2314yes—
614#389C2314yes—
615#389C2314yes—
616#389C2314yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2314yes—
621#389C2314yes—
622#389C2314yes—
623#389C2314yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2314yes—
639#389C2314yes—
640#389C2314yes—
641#389C2314yes—
642#388C2311yescharacteristic
643#388C2311yescharacteristic
644#388C2311yescharacteristic
645#388C2311yescharacteristic
646#388C2311yescharacteristic
647#388C2311yescharacteristic
648#388C2311yescharacteristic
649#388C2311yescharacteristic
650#388C2311yescharacteristic
651#388C2311yescharacteristic
652#388C2311yescharacteristic
653#388C2311yescharacteristic
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2311yescharacteristic
670#388C2311yescharacteristic
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2311yescharacteristic
687#388C2311yescharacteristic
688#387C2311yescharacteristic
689#387C2311yescharacteristic
690#387C2311yescharacteristic
691#387C2311yescharacteristic
692#387C2311yescharacteristic
693#387C2311yescharacteristic
694#387C2311yescharacteristic
695#387C2311yescharacteristic
696#387C2311yescharacteristic
697#387C2311yescharacteristic
698#387C2311yescharacteristic
699#387C2311yescharacteristic
700#387C2314yes—
701#387C2311yescharacteristic
702#387C2311yescharacteristic
703#387C2311yescharacteristic
704#387C2311yescharacteristic
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2311yescharacteristic
735#386C2311yescharacteristic
736#386C2311yescharacteristic
737#386C2311yescharacteristic
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2311yescharacteristic
751#385C2311yescharacteristic
752#385C2311yescharacteristic
753#385C2311yescharacteristic
754#384C2311yescharacteristic
755#384C2311yescharacteristic
756#384C2312yes—
757#384C2312yes—
758#384C2312yes—
759#384C2312yes—
760#384C2312yes—
761#384C2312yes—
762#384C2312yes—
763#384C2312yes—
764#384C2312yes—
765#384C2312yes—
766#384C2312yes—
767#384C2312yes—
768#384C2314yes—
769#383C2311yescharacteristic
770#383C2311yescharacteristic
771#382C2311yescharacteristic
772#382C2311yescharacteristic
773#382C2312yes—
774#382C2312yes—
775#382C2314yes—
776#382C2312yes—
777#382C2312yes—
778#382C2312yes—
779#382C2312yes—
780#382C2312yes—
781#381C2314yes—
782#381C2314yes—
783#381C2314yes—
784#381C2311yescharacteristic
785#381C2311yescharacteristic
786#380C2312yes—
787#380C2312yes—
788#380C2314yes—
789#380C2314yes—
790#380C2314yes—
791#380C2312yes—
792#380C2312yes—
793#380C2314yes—
794#380C2312yes—
795#380C2312yes—
796#380C2314yes—
797#380C2314yes—
798#380C2314yes—
799#380C2314yes—
800#380C2312yes—
801#380C2312yes—
802#380C2312yes—
803#380C2312yes—
804#380C2314yes—
805#380C2311yescharacteristic
806#380C2311yescharacteristic
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2314yes—
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2311yescharacteristic
828C4×C4⋊C4C2314yes—
829C4×C4⋊C4C2314yes—
830C4×C4⋊C4C2314yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2312yes—
838C4×C4⋊C4C2312yes—
839C4×C4⋊C4C2312yes—
840C4×C4⋊C4C2312yes—
841C4×C4⋊C4C2314yes—
842C4×C4⋊C4C2314yes—
843C4×C4⋊C4C2311yescharacteristic
844C4×C4⋊C4C2311yescharacteristic
845C4×C4⋊C4C2311yescharacteristic
846C4×C4⋊C4C2311yescharacteristic
847C4×C4⋊C4C2311yescharacteristic
848C4×C4⋊C4C2311yescharacteristic
849C4×C22⋊C4C2311yescharacteristic
850C4×C22⋊C4C2311yescharacteristic
851C4×C22⋊C4C2311yescharacteristic
852C4×C22⋊C4C2311yescharacteristic
853C4×C22⋊C4C2311yescharacteristic
854C4×C22⋊C4C2311yescharacteristic
855C4×C22⋊C4C2311yescharacteristic
856C4×C22⋊C4C2311yescharacteristic
857C4×C22⋊C4C2311yescharacteristic
858C4×C22⋊C4C2311yescharacteristic
859C4×C22⋊C4C2311yescharacteristic
860C4×C22⋊C4C2311yescharacteristic
861C4×C22⋊C4C2314yes—
862C4×C22⋊C4C2314yes—
863C4×C22⋊C4C2314yes—
864C4×C22⋊C4C2314yes—
865C4×C22⋊C4C2314yes—
866C4×C22⋊C4C2314yes—
867C4×C22⋊C4C2311yescharacteristic
868C4×C22⋊C4C2311yescharacteristic
869C4×C22⋊C4C2311yescharacteristic
870C4×C22⋊C4C2311yescharacteristic
871C4×C22⋊C4C2314yes—
872C4×C22⋊C4C2311yescharacteristic
873C4×C22⋊C4C2311yescharacteristic
874C4×C22⋊C4C2311yescharacteristic
875C4×C22⋊C4C2311yescharacteristic
876C4×C22⋊C4C2311yescharacteristic
877C4×C22⋊C4C2311yescharacteristic
878C4×C22⋊C4C2311yescharacteristic
879C4×C22⋊C4C2311yescharacteristic
880C4×C22⋊C4C2311yescharacteristic
881C4×C22⋊C4C2311yescharacteristic
882#376C2311yescharacteristic
883#376C2311yescharacteristic
884#376C2311yescharacteristic
885#376C2311yescharacteristic
886C2×#95C2314yes—
887C43C2311yescharacteristic
888C43C2311yescharacteristic
889C43C2311yescharacteristic
890C43C2311yescharacteristic
891C43C2311yescharacteristic
892C43C2311yescharacteristic
893C43C2311yescharacteristic
894C43C2311yescharacteristic
895C43C2311yescharacteristic
896C43C2311yescharacteristic
897C2×#41—28no—
898C2×#41—44no—
899C2×#41—44no—
900C2×#41—44no—
901C2×#41—44no—
902C2×#41—44no—
903C22×Q8—28no—
904C22×Q8—44no—
905C22×Q8—44no—
906C22×Q8C2412yes—
907C22×Q8C2412yes—
908C22×Q8C2412yes—
909C22×Q8C2412yes—
910C22×Q8C2412yes—
911C22×Q8C2411yescharacteristic
912C22×Q8C2414yes—
913C22×D4C2412yes—
914C22×D4C2412yes—
915C22×D4C2412yes—
916C22×D4C2411yescharacteristic
917C22×D4C2411yescharacteristic
918C22×D4C2411yescharacteristic
919C22×D4C2414yes—
920C22×D4C2414yes—
921C22×D4C2414yes—
922C23×C4C2411yescharacteristic
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C23×C4C2411yescharacteristic
926C23×C4C2411yescharacteristic
927C23×C4C2411yescharacteristic
928C23×C4C2411yescharacteristic
929C23×C4C2411yescharacteristic
930C23×C4C2411yescharacteristic
931C23×C4C2411yescharacteristic
932C23×C4C2411yescharacteristic
933C23×C4C2411yescharacteristic
934C23×C4C2411yescharacteristic
935C23×C4C2414yes—
936C23×C4C2414yes—
937C23×C4C2414yes—
938C23×C4C2414yes—
939C4⋊Q8—28no—
940C4⋊Q8—28no—
941C4⋊Q8—24no—
942C4⋊Q8—24no—
943C4⋊Q8—24no—
944C4⋊Q8—24no—
945C4⋊Q8—24no—
946C4⋊Q8—28no—
947C4⋊Q8—44no—
948C4⋊Q8—44no—
949C4⋊Q8—44no—
950C4⋊Q8—44no—
951C4⋊Q8—44no—
952C4⋊Q8—44no—
953#127—24no—
954#126—24no—
955#126—24no—
956#126—48no—
957#126—48no—
958#126—48no—
959#125—24no—
960#125—28no—
961#125—44no—
962#125—44no—
963#125—44no—
964#125—48no—
965#125—48no—
966#124—24no—
967#124—28no—
968#124—28no—
969#124—28no—
970#124—44no—
971#124—44no—
972#124—44no—
973#124—44no—
974#124—44no—
975#123—24no—
976#123—24no—
977#123—216no—
978#123—216no—
979#123—48no—
980#123—48no—
981#123—48no—
982C22⋊Q8—24no—
983C22⋊Q8—216no—
984C22⋊Q8—216no—
985C22⋊Q8—48no—
986C22⋊Q8—48no—
987C22⋊Q8—44no—
988C22⋊Q8—44no—
989C22⋊Q8—44no—
990C22⋊Q8—44no—
991C22⋊Q8—44no—
992C22⋊Q8—44no—
993C22⋊Q8—44no—
994C22⋊Q8—44no—
995C22⋊Q8—44no—
996C22⋊Q8—44no—
997C22⋊Q8—44no—
998#121—28no—
999#121—24no—
1000#121—44no—
1001#121—44no—
1002#121—44no—
1003#121—44no—
1004#121—44no—
1005#121—44no—
1006C4×Q8—24no—
1007C4×Q8—24no—
1008C4×Q8—42no—
1009C4×Q8—44no—
1010C4×Q8—44no—
1011C4×Q8—44no—
1012C4×Q8—44no—
1013C4×Q8—44no—
1014C4×Q8—44no—
1015C4×Q8—44no—
1016C4×Q8—44no—
1017C4×Q8—44no—
1018C4×Q8—44no—
1019C4×Q8—44no—
1020C4×D4—24no—
1021C4×D4—24no—
1022C4×D4—24no—
1023C4×D4—24no—
1024C4×D4—24no—
1025C4×D4—24no—
1026C4×D4—28no—
1027C4×D4—44no—
1028C4×D4—44no—
1029C4×D4—44no—
1030C4×D4—44no—
1031C4×D4—44no—
1032C4×D4—44no—
1033C4×D4—42no—
1034C4×D4—42no—
1035C4×D4—42no—
1036C4×D4—48no—
1037#117—24no—
1038#117—24no—
1039#117—24no—
1040#117—48no—
1041#117—44no—
1042#117—44no—
1043#117—44no—
1044#117#4118yescomplemented
1045C2×C4⋊C4—44no—
1046C2×C4⋊C4—44no—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C22⋊C4C2411yescharacteristic
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2411yescharacteristic
1124C2×C22⋊C4C2411yescharacteristic
1125C2×C22⋊C4C2411yescharacteristic
1126C2×C22⋊C4C2411yescharacteristic
1127C2×C22⋊C4C2411yescharacteristic
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2411yescharacteristic
1130C2×C22⋊C4C2411yescharacteristic
1131C2×C22⋊C4C2411yescharacteristic
1132C2×C22⋊C4C2411yescharacteristic
1133C2×C22⋊C4C2411yescharacteristic
1134C2×C22⋊C4C2411yescharacteristic
1135C2×C22⋊C4C2411yescharacteristic
1136C2×C22⋊C4C2411yescharacteristic
1137C2×C22⋊C4C2411yescharacteristic
1138C2×C22⋊C4C2411yescharacteristic
1139C2×C22⋊C4C2411yescharacteristic
1140C2×C22⋊C4C2411yescharacteristic
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
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⋊C4C2411yescharacteristic
1158C2×C22⋊C4C2411yescharacteristic
1159C2×C22⋊C4C2411yescharacteristic
1160C2×C22⋊C4C2411yescharacteristic
1161C2×C22⋊C4C2411yescharacteristic
1162C2×C22⋊C4C2411yescharacteristic
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2411yescharacteristic
1177C2×C42—24no—
1178C2×C42—24no—
1179C2×C42—24no—
1180C2×C42—24no—
1181C2×C42—24no—
1182C2×C42—24no—
1183C2×C42—24no—
1184C2×C42—42no—
1185C2×C42—42no—
1186C2×C42C2411yescharacteristic
1187C2×C42C2411yescharacteristic
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194C2×C42C2411yescharacteristic
1195C2×C42C2411yescharacteristic
1196C2×C42C2411yescharacteristic
1197C2×C42C2411yescharacteristic
1198C2×C42C2411yescharacteristic
1199C2×C42C2411yescharacteristic
1200C2×C42C2411yescharacteristic
1201C2×C42C2411yescharacteristic
1202C2×C42C2411yescharacteristic
1203C2×C42C2411yescharacteristic
1204C2×C42C2411yescharacteristic
1205C2×C42C2411yescharacteristic
1206C2×C42C2411yescharacteristic
1207C2×C42C2411yescharacteristic
1208C2×C42C2411yescharacteristic
1209C2×C42C2411yescharacteristic
1210C2×C42C2411yescharacteristic
1211C2×C42C2411yescharacteristic
1212C2×C42C2411yescharacteristic
1213C2×C42C2411yescharacteristic
1214C2×C42C2411yescharacteristic
1215C2×C42C2411yescharacteristic
1216C2×C42C2411yescharacteristic
1217C2×C42C2411yescharacteristic
1218C2×C42C2411yescharacteristic
1219C2×C42C2411yescharacteristic
1220C2×C42C2411yescharacteristic
1221C2×C42C2411yescharacteristic
1222C2×C42C2411yescharacteristic
1223C2×C42C2414yes—
1224C2×C42C2414yes—
1225C2×C42C2414yes—
1226C2×C42C2414yes—
1227C2×C42C2414yes—
1228C2×C42C2414yes—
1229C2×C42C2414yes—
1230C2×C42C2414yes—
1231C2×C42C2411yescharacteristic
1232C2×C42C2411yescharacteristic
1233C2×C42C2411yescharacteristic
1234C2×C42C2411yescharacteristic
1235C2×C42C2411yescharacteristic
1236C2×C42C2411yescharacteristic
1237C2×C42C2411yescharacteristic
1238C2×C42C2411yescharacteristic
1239C2×C42C2411yescharacteristic
1240#95C2411yescharacteristic
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2411yescharacteristic
1245#95C2411yescharacteristic
1246#95C2411yescharacteristic
1247#95C2411yescharacteristic
1248#95C2411yescharacteristic
1249#95C2411yescharacteristic
1250#95C2411yescharacteristic
1251#95C2411yescharacteristic
1252#95C2411yescharacteristic
1253#95C2411yescharacteristic
1254#95C2411yescharacteristic
1255#95C2411yescharacteristic
1256#95C2411yescharacteristic
1257#95C2411yescharacteristic
1258#95C2411yescharacteristic
1259#95C2411yescharacteristic
1260#95C2411yescharacteristic
1261#95C2411yescharacteristic
1262#95C2411yescharacteristic
1263#95C2411yescharacteristic
1264#95C2411yescharacteristic
1265#95C2411yescharacteristic
1266#95C2414yes—
1267#95C2414yes—
1268#95C2411yescharacteristic
1269#95C2411yescharacteristic
1270#95C2411yescharacteristic
1271#95C2411yescharacteristic
1272#95C2411yescharacteristic
1273#95C2411yescharacteristic
1274#95C2411yescharacteristic
1275#95C2411yescharacteristic
1276#95C2411yescharacteristic
1277#95C2411yescharacteristic
1278#95C2411yescharacteristic
1279#95C2411yescharacteristic
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2411yescharacteristic
1288#95C2411yescharacteristic
1289#95C2411yescharacteristic
1290#95C2411yescharacteristic
1291#95C2411yescharacteristic
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314C24C2511yescharacteristic
1315C24C2514yes—
1316C24C2511yescharacteristic
1317C24C2511yescharacteristic
1318#41—816no—
1319#41—816no—
1320C2×Q8—22no—
1321C2×Q8—24no—
1322C2×Q8—24no—
1323C2×Q8—24no—
1324C2×Q8—28no—
1325C2×Q8—24no—
1326C2×Q8—24no—
1327C2×Q8—24no—
1328C2×Q8—24no—
1329C2×Q8—24no—
1330C2×Q8—24no—
1331C2×Q8—24no—
1332C2×Q8—24no—
1333C2×Q8—22no—
1334C2×Q8—24no—
1335C2×Q8—24no—
1336C2×Q8—24no—
1337C2×Q8—24no—
1338C2×Q8—41no—
1339C2×Q8—44no—
1340C2×Q8—44no—
1341C2×Q8—816no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—22no—
1345C2×D4—22no—
1346C2×D4—28no—
1347C2×D4—28no—
1348C2×D4—22no—
1349C2×D4—24no—
1350C2×D4—24no—
1351C2×D4—24no—
1352C2×D4—24no—
1353C2×D4—24no—
1354C2×D4—22no—
1355C2×D4—24no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—24no—
1359C2×D4—41no—
1360C2×D4—41no—
1361C2×D4—41no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C22×C4—22no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—28no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—28no—
1404C22×C4—28no—
1405C22×C4—41no—
1406C22×C4—41no—
1407C22×C4—41no—
1408C22×C4—41no—
1409C22×C4—44no—
1410C22×C4—44no—
1411C22×C4—44no—
1412C22×C4—44no—
1413C22×C4—44no—
1414C22×C4—44no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4—44no—
1418C22×C4C2×#4114yes—
1419C22×C42−1+414yes—
1420C22×C4C2511yescharacteristic
1421C22×C4C2511yescharacteristic
1422C22×C4C2511yescharacteristic
1423C22×C4C2511yescharacteristic
1424C22×C4C2511yescharacteristic
1425C22×C4C2511yescharacteristic
1426C22×C4C2511yescharacteristic
1427C22×C4C2514yes—
1428C22×C4C2514yes—
1429C22×C4C2514yes—
1430C22×C4C2511yescharacteristic
1431C22×C4C2511yescharacteristic
1432C22×C4C2511yescharacteristic
1433C22×C4C2511yescharacteristic
1434C22×C4C2511yescharacteristic
1435C22×C4C2514yes—
1436C22×C4C2511yescharacteristic
1437C22×C4C2514yes—
1438C22×C4C2514yes—
1439C22×C4C2514yes—
1440C22×C4C2511yescharacteristic
1441C22×C4C2511yescharacteristic
1442C22×C4C2511yescharacteristic
1443C22×C4C2511yescharacteristic
1444C22×C4C2511yescharacteristic
1445C22×C4C2511yescharacteristic
1446C22×C4C2511yescharacteristic
1447C22×C4C2511yescharacteristic
1448C22×C4C2511yescharacteristic
1449C22×C4C2511yescharacteristic
1450C22×C4C2511yescharacteristic
1451C22×C4C2511yescharacteristic
1452C22×C4C2511yescharacteristic
1453C22×C4C2511yescharacteristic
1454C22×C4C2511yescharacteristic
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—22no—
1458C4⋊C4—22no—
1459C4⋊C4—22no—
1460C4⋊C4—22no—
1461C4⋊C4—22no—
1462C4⋊C4—22no—
1463C4⋊C4—28no—
1464C4⋊C4—28no—
1465C4⋊C4—28no—
1466C4⋊C4—28no—
1467C4⋊C4—24no—
1468C4⋊C4—24no—
1469C4⋊C4—24no—
1470C4⋊C4—24no—
1471C4⋊C4—22no—
1472C4⋊C4—22no—
1473C4⋊C4—22no—
1474C4⋊C4—22no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—28no—
1479C4⋊C4—24no—
1480C4⋊C4—24no—
1481C4⋊C4—24no—
1482C4⋊C4—28no—
1483C4⋊C4—24no—
1484C4⋊C4—24no—
1485C4⋊C4—28no—
1486C4⋊C4—28no—
1487C4⋊C4—22no—
1488C4⋊C4—22no—
1489C4⋊C4—22no—
1490C4⋊C4—24no—
1491C4⋊C4—22no—
1492C4⋊C4—22no—
1493C4⋊C4—22no—
1494C4⋊C4—24no—
1495C4⋊C4—24no—
1496C4⋊C4—24no—
1497C4⋊C4—44no—
1498C4⋊C4—44no—
1499C4⋊C4—44no—
1500C4⋊C4—41no—
1501C4⋊C4—41no—
1502C4⋊C4—41no—
1503C4⋊C4—41no—
1504C4⋊C4—41no—
1505C4⋊C4—41no—
1506C4⋊C4—44no—
1507C4⋊C4—44no—
1508C4⋊C4—44no—
1509C4⋊C4—44no—
1510C4⋊C4—44no—
1511C4⋊C4—44no—
1512C4⋊C4—44no—
1513C4⋊C4—44no—
1514C4⋊C4—44no—
1515C4⋊C4—44no—
1516C4⋊C4—44no—
1517C4⋊C4—44no—
1518C4⋊C4—44no—
1519C4⋊C4—44no—
1520C4⋊C4—44no—
1521C4⋊C4—44no—
1522C4⋊C4—44no—
1523C4⋊C4—44no—
1524C4⋊C4—44no—
1525C4⋊C4—44no—
1526C4⋊C4—44no—
1527C4⋊C4C2×#4114yes—
1528C4⋊C4C2×#4114yes—
1529C22⋊C4—22no—
1530C22⋊C4—22no—
1531C22⋊C4—22no—
1532C22⋊C4—22no—
1533C22⋊C4—22no—
1534C22⋊C4—22no—
1535C22⋊C4—22no—
1536C22⋊C4—22no—
1537C22⋊C4—22no—
1538C22⋊C4—22no—
1539C22⋊C4—28no—
1540C22⋊C4—28no—
1541C22⋊C4—28no—
1542C22⋊C4—28no—
1543C22⋊C4—22no—
1544C22⋊C4—22no—
1545C22⋊C4—22no—
1546C22⋊C4—22no—
1547C22⋊C4—28no—
1548C22⋊C4—28no—
1549C22⋊C4—22no—
1550C22⋊C4—22no—
1551C22⋊C4—28no—
1552C22⋊C4—22no—
1553C22⋊C4—22no—
1554C22⋊C4—28no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—41no—
1561C22⋊C4—41no—
1562C22⋊C4—41no—
1563C22⋊C4—41no—
1564C22⋊C4—41no—
1565C22⋊C4—41no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—44no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4C2×#4114yes—
1584C22⋊C4C2×#4114yes—
1585C42—22no—
1586C42—22no—
1587C42—22no—
1588C42—22no—
1589C42—22no—
1590C42—22no—
1591C42—22no—
1592C42—22no—
1593C42—22no—
1594C42—22no—
1595C42—22no—
1596C42—22no—
1597C42—22no—
1598C42—22no—
1599C42—22no—
1600C42—22no—
1601C42—22no—
1602C42—22no—
1603C42—22no—
1604C42—22no—
1605C42—22no—
1606C42—22no—
1607C42—22no—
1608C42—22no—
1609C42—22no—
1610C42—22no—
1611C42—22no—
1612C42—22no—
1613C42—22no—
1614C42—22no—
1615C42—22no—
1616C42—22no—
1617C42—22no—
1618C42—22no—
1619C42—22no—
1620C42—22no—
1621C42—22no—
1622C42—41no—
1623C42—41no—
1624C42—41no—
1625C42—41no—
1626C42—44no—
1627C42—44no—
1628C42—44no—
1629C42—44no—
1630C42—44no—
1631C42—44no—
1632C42—44no—
1633C42—44no—
1634C42C2×#4114yes—
1635C42C2×#4114yes—
1636C42H(5,𝔽2)14yes—
1637C42H(5,𝔽2)14yes—
1638C422−1+414yes—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—21no—
1652C23—24no—
1653C23—21no—
1654C23—24no—
1655C23—21no—
1656C23—24no—
1657C23—21no—
1658C23—21no—
1659C23—24no—
1660C23—24no—
1661C23—24no—
1662C23—24no—
1663C23—21no—
1664C23—21no—
1665C23C22×#4112yes—
1666C23C2×2−1+412yes—
1667C23C2611yescharacteristic
1668Q8—44no—
1669Q8—48no—
1670Q8—48no—
1671Q8—48no—
1672Q8—48no—
1673Q8—48no—
1674Q8—88no—
1675D4—44no—
1676D4—44no—
1677D4—44no—
1678D4—48no—
1679D4—48no—
1680D4—48no—
1681D4—88no—
1682D4—88no—
1683D4—88no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
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—21no—
1704C2×C4—28no—
1705C2×C4—28no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—24no—
1712C2×C4—24no—
1713C2×C4—24no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—24no—
1728C2×C4—24no—
1729C2×C4—24no—
1730C2×C4—24no—
1731C2×C4—24no—
1732C2×C4—24no—
1733C2×C4—24no—
1734C2×C4—24no—
1735C2×C4—24no—
1736C2×C4—24no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—24no—
1751C2×C4—24no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—24no—
1763C2×C4—24no—
1764C2×C4—24no—
1765C2×C4—24no—
1766C2×C4—24no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—24no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—44no—
1773C2×C4—44no—
1774C2×C4—44no—
1775C2×C4—44no—
1776C2×C4—44no—
1777C2×C4—44no—
1778C2×C4—44no—
1779C2×C4—44no—
1780C2×C4—44no—
1781C2×C4—44no—
1782C2×C4—44no—
1783C2×C4—88no—
1784C2×C4—88no—
1785C2×C4—88no—
1786C2×C4—88no—
1787C2×C4C22×#4112yes—
1788C2×C4C22×#4112yes—
1789C2×C4C22×#4112yes—
1790C2×C4C22×#4112yes—
1791C2×C4C22×#4112yes—
1792C2×C4C22×#4112yes—
1793C2×C4C2×H(5,𝔽2)12yes—
1794C2×C4C2×H(5,𝔽2)12yes—
1795C2×C4C2×H(5,𝔽2)12yes—
1796C2×C4C2×H(5,𝔽2)12yes—
1797C2×C4C2×H(5,𝔽2)12yes—
1798C2×C4C2×H(5,𝔽2)12yes—
1799C2×C4C2×2−1+412yes—
1800C2×C4C2×2−1+412yes—
1801C2×C4C2×2−1+412yes—
1802C2×C4C2×2−1+412yes—
1803C2×C4C2×2−1+412yes—
1804C2×C4#58512yes—
1805C2×C4#58512yes—
1806C22—22no—
1807C22—22no—
1808C22—22no—
1809C22—22no—
1810C22—22no—
1811C22—22no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—44no—
1822C22—41no—
1823C22—44no—
1824C22—41no—
1825C22—44no—
1826C22—41no—
1827C22—41no—
1828C22—44no—
1829C22—44no—
1830C22—44no—
1831C22—44no—
1832C22—41no—
1833C22—41no—
1834C22C23×#4111yescharacteristic
1835C22C22×H(5,𝔽2)11yescharacteristic
1836C22C22×H(5,𝔽2)11yescharacteristic
1837C22C22×2−1+411yescharacteristic
1838C22C22×2−1+411yescharacteristic
1839C22C2×#58511yescharacteristic
1840C22C2×#58511yescharacteristic
1841C4—22no—
1842C4—22no—
1843C4—22no—
1844C4—22no—
1845C4—22no—
1846C4—22no—
1847C4—22no—
1848C4—22no—
1849C4—22no—
1850C4—22no—
1851C4—41no—
1852C4—41no—
1853C4—41no—
1854C4—44no—
1855C4—44no—
1856C4—41no—
1857C4—41no—
1858C4—41no—
1859C4—41no—
1860C4—44no—
1861C4—44no—
1862C4—44no—
1863C4—41no—
1864C4—41no—
1865C4—41no—
1866C4—41no—
1867C4—41no—
1868C4—41no—
1869C4—41no—
1870C4—41no—
1871C4—44no—
1872C4—44no—
1873C4#350814yes—
1874C4#355214yes—
1875C4#356214yes—
1876C2—42no—
1877C2—42no—
1878C2—81no—
1879C2—84no—
1880C2C2×#356211yescharacteristic
1881C2C2×#355211yescharacteristic
1882C2C2×#350811yescharacteristic
1883C2#6280511yescharacteristic
1884C2#6280511yescharacteristic
1885C2#6283511yescharacteristic
1886C2#6283511yescharacteristic
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. #59697C2semidirect
2. #59479C2semidirect
3. #59323C2semidirect
4. #59307C2semidirect
5. #46109C2semidirect
6. #46108C2semidirect
7. #45675C2semidirect
8. #45632C2semidirect
9. #40214C2semidirect
10. #40191C2semidirect
11. #40103C2semidirect
12. #40076C2semidirect
13. #40003C2semidirect
14. #39976C2semidirect
15. #39938C2semidirect
16. #39915C2semidirect
17. #39809C2semidirect
18. #39417C2semidirect
19. #37774C2semidirect
20. #37750C2semidirect
21. #37594C2semidirect
22. #37384C2semidirect
23. #37379C2semidirect
24. #36645C2semidirect
25. #36631C2semidirect
26. #36609C2semidirect
27. #36598C2semidirect
28. #36150C2semidirect
29. #36150C2semidirect
30. #36149C2semidirect
31. #36134C2semidirect
32. #36129C2semidirect
33. #36129C2semidirect
34. #35319C2semidirect
35. #35317C2semidirect
36. #35298C2semidirect
37. #35284C2semidirect
38. #34439C2semidirect
39. C4×#529C2semidirect
1044. #117#41semidirect

Maximal subgroups

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

subgroupindex
#596972
#594792
#593232
#593072
#461092
#461082
#456752
#456322
#402142
#401912
#401032
#400762
#400032
#399762
#399382
#399152
#398092
#394172
#377742
#377502
#375942
#373842
#373792
#366452
#366312
#366092
#365982
#361502
#361492
#361342
#361292
#353192
#353172
#352982
#352842
#344392
C4×#5292