Finite Group Databasebeta

← #8424381

Subgroups — #8424381

Order 512.

5849 conjugacy classes of subgroups.

The subgroup lattice has 1969 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59412C211yesmaximal, characteristic, complemented
2#59234C211yesmaximal, characteristic, complemented
3#59232C212yesmaximal, complemented
4#59229C211yesmaximal, characteristic, complemented
5#59056C212yesmaximal, complemented
6#58934C214yesmaximal, complemented
7#58884C214yesmaximal, complemented
8#53055C212yesmaximal, complemented
9#53046C212yesmaximal, complemented
10#52969C212yesmaximal, complemented
11#52967C212yesmaximal, complemented
12#52325C214yesmaximal, complemented
13#42986C212yesmaximal, complemented
14#42963C212yesmaximal, complemented
15#42731C212yesmaximal, complemented
16#42433C212yesmaximal, complemented
17#41234C214yesmaximal, complemented
18#40173C212yesmaximal, complemented
19#39876C212yesmaximal, complemented
20#39342C211yesmaximal, characteristic, complemented
21#39342C211yesmaximal, characteristic, complemented
22#39341C211yesmaximal, characteristic, complemented
23#39334C212yesmaximal, complemented
24#39138C211yesmaximal, characteristic, complemented
25#37782C212yesmaximal, complemented
26#37639C211yesmaximal, characteristic, complemented
27#37621C211yesmaximal, characteristic, complemented
28#37618C212yesmaximal, complemented
29#37513C212yesmaximal, complemented
30#36468C211yesmaximal, characteristic, complemented
31#36211C211yesmaximal, characteristic, complemented
32#36174C211yesmaximal, characteristic, complemented
33#34925C211yesmaximal, characteristic, complemented
34#34925C211yesmaximal, characteristic, complemented
35#34889C211yesmaximal, characteristic, complemented
36C2×#555C2212yescomplemented
37C2×#553C2212yescomplemented
38C2×#550C2211yescharacteristic
39C2×#546C2212yes—
40C2×D42C2211yescharacteristic
41C2×#537C2212yescomplemented
42C2×#535C2212yes—
43C2×#535C2212yes—
44C2×#532C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C2×#532C2211yescharacteristic, complemented
47C2×#532C2212yescomplemented
48C2×#532C2212yescomplemented
49C2×#532C2212yescomplemented
50C2×#529C2211yescharacteristic, complemented
51#2859C2211yescharacteristic, complemented
52#2856C2211yescharacteristic
53#2856C2211yescharacteristic
54#2854C2212yes—
55#2850C2212yes—
56#2832C2214yescomplemented
57#2832C2214yescomplemented
58#2828C2214yescomplemented
59#2828C2214yescomplemented
60#2828C2214yescomplemented
61#2824C2214yescomplemented
62#2819C2214yescomplemented
63#2819C2214yescomplemented
64#2818C2214yescomplemented
65#2815C2214yescomplemented
66#2815C2214yescomplemented
67#2815C2214yescomplemented
68#2813C2214yescomplemented
69#2812C2214yescomplemented
70#2775C2214yescomplemented
71#2763C2214yescomplemented
72#2753C2214yescomplemented
73#2737C2214yescomplemented
74#2736C2214yescomplemented
75#2733C2214yescomplemented
76#2733C2214yescomplemented
77#2723C2214yescomplemented
78#2714C2214yescomplemented
79#2714C2214yescomplemented
80#2712C2214yescomplemented
81#2710C2214yescomplemented
82#2703C2214yescomplemented
83#2699C2214yescomplemented
84#2696C2214yescomplemented
85#2686C2214yescomplemented
86#2678C2214yes—
87#2678C2214yescomplemented
88#2678C2214yescomplemented
89#2676C2214yescomplemented
90#2675C2214yescomplemented
91#2674C2214yescomplemented
92#2673C2214yescomplemented
93#2673C2214yescomplemented
94#2673C2214yescomplemented
95#2670C2214yes—
96#2670C2214yes—
97#2670C2214yescomplemented
98#2670C2214yescomplemented
99#2670C2214yescomplemented
100#2669C2214yes—
101#2669C2214yes—
102#2669C2214yescomplemented
103#2669C2214yescomplemented
104#2669C2214yescomplemented
105#2669C2214yescomplemented
106#2668C2214yescomplemented
107#2662C2214yescomplemented
108#2662C2214yescomplemented
109#2657C2214yescomplemented
110#2640C2214yescomplemented
111#2635C2214yescomplemented
112#2635C2214yescomplemented
113#2631C2214yescomplemented
114#2631C2214yescomplemented
115#2631C2214yescomplemented
116#2628C2212yescomplemented
117#2619C2212yes—
118#2619C2214yescomplemented
119#2619C2214yescomplemented
120#2619C2212yescomplemented
121#2616C2212yescomplemented
122#2615C2212yes—
123#2615C2212yes—
124#2615C2212yes—
125#2615C2212yescomplemented
126#2615C2212yescomplemented
127#2615C2212yescomplemented
128#2615C2212yescomplemented
129#2615C2212yescomplemented
130#2610C2214yescomplemented
131#2602C2214yescomplemented
132#2572C2214yescomplemented
133#2563C2212yescomplemented
134#2563C2212yescomplemented
135#2562C2212yescomplemented
136#2562C2212yescomplemented
137#2559C2212yescomplemented
138#2559C2214yescomplemented
139#2557C2212yescomplemented
140#2555C2214yescomplemented
141#2555C2212yescomplemented
142#2555C2214yescomplemented
143#2555C2212yescomplemented
144#2551C2211yescharacteristic, complemented
145#2551C2211yescharacteristic, complemented
146#2550C2211yescharacteristic, complemented
147#2547C2212yescomplemented
148#2547C2212yescomplemented
149#2544C2211yescharacteristic
150#2541C2212yes—
151#2541C2212yes—
152#2541C2211yescharacteristic
153#2541C2211yescharacteristic
154#2541C2211yescharacteristic
155#2541C2211yescharacteristic
156#2541C2212yes—
157#2541C2212yescomplemented
158#2541C2214yescomplemented
159#2541C2212yescomplemented
160#2541C2212yescomplemented
161#2541C2212yescomplemented
162#2540C2211yescharacteristic
163#2540C2212yescomplemented
164#2538C2211yescharacteristic
165#2538C2211yescharacteristic, complemented
166#2537C2211yescharacteristic
167#2537C2211yescharacteristic
168#2537C2211yescharacteristic
169#2537C2211yescharacteristic, complemented
170#2537C2211yescharacteristic, complemented
171#2537C2211yescharacteristic, complemented
172#2535C2212yes—
173#2535C2212yescomplemented
174#2535C2211yescharacteristic, complemented
175#2535C2212yescomplemented
176#2535C2212yescomplemented
177#2529C2214yescomplemented
178#2526C2214yescomplemented
179#2521C2212yescomplemented
180#2518C2214yescomplemented
181#2518C2214yescomplemented
182#2513C2212yes—
183#2513C2212yescomplemented
184#2513C2212yescomplemented
185#2496C2212yescomplemented
186#2495C2212yescomplemented
187#2495C2212yescomplemented
188#2492C2211yescharacteristic, complemented
189#2492C2212yescomplemented
190#2491C2212yes—
191#2491C2212yes—
192#2491C2212yes—
193#2491C2211yescharacteristic
194#2491C2212yes—
195#2491C2212yescomplemented
196#2491C2212yescomplemented
197#2491C2211yescharacteristic, complemented
198#2491C2212yescomplemented
199#2490C2211yescharacteristic
200#2490C2212yes—
201#2490C2212yescomplemented
202#2490C2212yescomplemented
203#2490C2212yescomplemented
204#2489C2212yescomplemented
205#2485C2212yescomplemented
206#2474C2214yescomplemented
207#2474C2214yescomplemented
208#2472C2214yescomplemented
209#2464C2212yescomplemented
210#2459C2214yescomplemented
211#2452C2212yescomplemented
212#2439C2212yescomplemented
213#2433C2212yes—
214#2433C2212yes—
215#2433C2212yes—
216#2431C2214yescomplemented
217#2431C2214yescomplemented
218#2431C2214yescomplemented
219#2431C2212yescomplemented
220#2428C2212yes—
221#2428C2211yescharacteristic
222#2428C2211yescharacteristic
223#2428C2212yes—
224#2428C2212yescomplemented
225#2428C2212yescomplemented
226#2428C2212yescomplemented
227#2428C2214yescomplemented
228#2428C2211yescharacteristic, complemented
229#2428C2212yescomplemented
230#2428C2212yescomplemented
231#2427C2211yescharacteristic, complemented
232#2424C2214yes—
233#2424C2214yescomplemented
234#2422C2212yes—
235#2420C2212yescomplemented
236#2420C2212yescomplemented
237#2420C2212yescomplemented
238#2420C2212yescomplemented
239#2416C2212yes—
240#2416C2212yescomplemented
241#2415C2212yescomplemented
242#2414C2212yes—
243#2414C2212yes—
244#2414C2212yes—
245#2414C2214yescomplemented
246#2414C2212yescomplemented
247#2414C2212yescomplemented
248#2414C2212yescomplemented
249#2408C2212yes—
250#2408C2212yes—
251#2408C2212yes—
252#2408C2212yes—
253#2408C2212yes—
254#2407C2212yes—
255#2407C2212yescomplemented
256#2407C2212yescomplemented
257#2404C2214yescomplemented
258#2395C2212yescomplemented
259#2388C2214yescomplemented
260#2388C2212yescomplemented
261#2388C2212yescomplemented
262#2388C2212yescomplemented
263#2369C2212yescomplemented
264#2363C2212yescomplemented
265#2363C2214yescomplemented
266#2363C2212yescomplemented
267#2363C2212yescomplemented
268#2357C2212yescomplemented
269#2355C2211yescharacteristic, complemented
270#2354C2211yescharacteristic
271#2354C2211yescharacteristic
272#2352C2212yescomplemented
273D4×C4⋊C4C2211yescharacteristic, complemented
274#2347C2212yescomplemented
275#2346C2212yescomplemented
276#2344C2212yescomplemented
277D4×C22⋊C4C2212yes—
278#2324C2212yescomplemented
279#2321C2214yescomplemented
280C4×#127C2211yescharacteristic
281C4×#127C2211yescharacteristic
282C4×#124C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic, complemented
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2212yescomplemented
287C4×#121C2211yescharacteristic, complemented
288C4×#121C2212yescomplemented
289C4×#121C2212yescomplemented
290C4×#121C2212yescomplemented
291C4×#121C2212yescomplemented
292#2297C2212yescomplemented
293#2285C2211yescharacteristic, complemented
294#2285C2211yescharacteristic, complemented
295#2283C2212yescomplemented
296C42×D4C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic, complemented
298C42×D4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2314yes—
304C23×D4C2312yes—
305C23×D4C2312yes—
306#555—48no—
307#553—48no—
308#550—44no—
309#546—48no—
310D42—44no—
311#537—48no—
312#535—48no—
313#535—48no—
314#532—44no—
315#532—44no—
316#532—48no—
317#532—48no—
318#532—44no—
319#532—48no—
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2311yescharacteristic
322C2×C4⋊Q8C2311yescharacteristic
323C2×C4⋊Q8C2311yescharacteristic
324C2×C4⋊Q8C2312yes—
325C2×C4⋊Q8C2312yes—
326C2×#127C2311yescharacteristic
327C2×#127C2311yescharacteristic
328C2×#127C2314yes—
329C2×#127C2311yescharacteristic
330C2×#127C2314yes—
331C2×#127C2312yes—
332C2×#127C2312yes—
333C2×#127C2311yescharacteristic
334C2×#127C2312yes—
335C2×#127C2312yes—
336C2×#127C2311yescharacteristic
337C2×#127C2314yes—
338C2×#127C2314yes—
339#529—44no—
340C2×#126C2314yes—
341C2×#126C2312yes—
342C2×#125C2311yescharacteristic
343C2×#125C2312yes—
344C2×#124C2311yescharacteristic
345C2×#124C2312yes—
346C2×#124C2312yes—
347C2×#124C2314yes—
348C2×#124C2314yes—
349C2×#124C2312yes—
350C2×#124C2312yes—
351C2×#124C2314yes—
352C2×#124C2314yes—
353C2×#124C2312yes—
354C2×#124C2314yes—
355C2×#124C2314yes—
356C2×#124C2311yescharacteristic
357C2×#124C2314yes—
358C2×#123C2314yes—
359C2×#123C2312yes—
360C2×#123C2314yes—
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2311yescharacteristic
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2314yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2311yescharacteristic
369C2×#121C2311yescharacteristic
370C2×#121C2311yescharacteristic
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2311yescharacteristic
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2311yescharacteristic
385C2×#121C2311yescharacteristic
386C2×#121C2311yescharacteristic
387C2×#121C2311yescharacteristic
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2314yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2314yes—
400C2×#121C2314yes—
401C2×#121C2314yes—
402C2×#121C2311yescharacteristic
403C2×#121C2312yes—
404C2×#121C2314yes—
405C2×#121C2312yes—
406C2×#121C2314yes—
407C2×#121C2312yes—
408C2×#121C2314yes—
409C2×#121C2311yescharacteristic
410C2×#121C2314yes—
411C2×#121C2312yes—
412C2×#121C2314yes—
413C2×#121C2314yes—
414C2×#121C2312yes—
415C2×#121C2312yes—
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#120C2314yes—
419C2×#120C2314yes—
420C2×#120C2314yes—
421C2×#120C2314yes—
422C2×#120C2314yes—
423C2×#120C2314yes—
424C2×#120C2314yes—
425C2×#120C2314yes—
426C2×#120C2314yes—
427C2×C4×Q8C2311yescharacteristic
428C2×C4×D4C2311yescharacteristic
429C2×C4×D4C2312yes—
430C2×C4×D4C2311yescharacteristic
431C2×C4×D4C2312yes—
432C2×C4×D4C2311yescharacteristic
433C2×C4×D4C2311yescharacteristic
434C2×C4×D4C2311yescharacteristic
435C2×C4×D4C2311yescharacteristic
436C2×C4×D4C2311yescharacteristic
437C2×C4×D4C2311yescharacteristic
438C2×C4×D4C2311yescharacteristic
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2314yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2314yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2314yes—
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2312yes—
457C2×#117C2312yes—
458C2×#117C2312yes—
459C2×#117C2312yes—
460C2×#117C2314yes—
461C2×#117C2312yes—
462C2×#117C2312yes—
463C22×C4⋊C4C2312yes—
464C22×C22⋊C4C2314yes—
465C22×C42C2312yes—
466C22×C42C2311yescharacteristic
467C22×C42C2311yescharacteristic
468C22×C42C2312yes—
469#400C2314yes—
470#400C2314yes—
471#400C2314yes—
472#400C2312yes—
473#400C2314yes—
474#399C2314yes—
475#399C2312yes—
476#398C2312yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2312yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2312yes—
489#397C2314yes—
490#397C2314yes—
491#397C2312yes—
492#397C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#395C2312yes—
498#395C2314yes—
499#395C2312yes—
500#395C2312yes—
501#395C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2312yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2312yes—
520#394C2312yes—
521#394C2312yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2312yes—
533#394C2314yes—
534#394C2314yes—
535#394C2312yes—
536#394C2312yes—
537#394C2312yes—
538#394C2312yes—
539#394C2312yes—
540#394C2312yes—
541#393C2314yes—
542#393C2314yes—
543#393C2314yes—
544#393C2314yes—
545#393C2312yes—
546#393C2314yes—
547#393C2314yes—
548#393C2314yes—
549#393C2312yes—
550#393C2314yes—
551#393C2314yes—
552#393C2314yes—
553#393C2314yes—
554#393C2312yes—
555#392C2312yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2312yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2312yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2314yes—
585#392C2314yes—
586#392C2314yes—
587#392C2314yes—
588#392C2312yes—
589#392C2314yes—
590#392C2314yes—
591#392C2314yes—
592#392C2314yes—
593#392C2312yes—
594#392C2314yes—
595#392C2314yes—
596#392C2312yes—
597#392C2312yes—
598#392C2312yes—
599#392C2312yes—
600#392C2314yes—
601#392C2314yes—
602#392C2314yes—
603#391C2312yes—
604#391C2312yes—
605#391C2314yes—
606#391C2312yes—
607#391C2314yes—
608#391C2314yes—
609#391C2311yescharacteristic
610#391C2311yescharacteristic
611#390C2311yescharacteristic
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2311yescharacteristic
618#390C2314yes—
619#390C2314yes—
620#390C2312yes—
621#390C2314yes—
622#390C2314yes—
623#390C2312yes—
624#390C2314yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2312yes—
629#390C2312yes—
630#390C2312yes—
631#390C2312yes—
632#390C2312yes—
633#390C2312yes—
634#390C2314yes—
635#390C2312yes—
636#390C2314yes—
637#390C2314yes—
638#390C2314yes—
639#390C2311yescharacteristic
640#390C2314yes—
641#390C2314yes—
642#390C2312yes—
643#390C2311yescharacteristic
644#390C2311yescharacteristic
645#390C2311yescharacteristic
646#390C2312yes—
647#390C2312yes—
648#390C2312yes—
649#389C2311yescharacteristic
650#389C2312yes—
651#389C2312yes—
652#389C2311yescharacteristic
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2311yescharacteristic
658#389C2312yes—
659#389C2312yes—
660#389C2311yescharacteristic
661#389C2312yes—
662#389C2314yes—
663#389C2312yes—
664#389C2312yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2312yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2312yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2312yes—
693#388C2312yes—
694#388C2312yes—
695#388C2312yes—
696#388C2312yes—
697#388C2312yes—
698#388C2312yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2312yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2312yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2312yes—
718#386C2314yes—
719#386C2314yes—
720#386C2312yes—
721#386C2312yes—
722#386C2312yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#386C2314yes—
730#386C2312yes—
731#386C2312yes—
732#386C2312yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2312yes—
738#384C2311yescharacteristic
739#384C2311yescharacteristic
740#384C2311yescharacteristic
741#384C2311yescharacteristic
742#383C2314yes—
743#383C2314yes—
744#382C2314yes—
745#382C2312yes—
746#382C2314yes—
747#382C2312yes—
748#382C2312yes—
749#382C2312yes—
750#382C2311yescharacteristic
751#381C2314yes—
752#381C2314yes—
753#381C2314yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2311yescharacteristic
769#380C2311yescharacteristic
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2311yescharacteristic
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2311yescharacteristic
779#379C2314yes—
780#379C2314yes—
781#379C2314yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2314yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2311yescharacteristic
822C4×C22⋊C4C2312yes—
823#376C2314yes—
824C43C2311yescharacteristic
825C25C2414yes—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—48no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—44no—
835C2×#41—44no—
836C2×#41—48no—
837C2×#41—44no—
838C2×#41—44no—
839C2×#41—44no—
840C2×#41—84no—
841C22×Q8C2411yescharacteristic
842C22×Q8C2414yes—
843C22×Q8C2412yes—
844C22×Q8C2412yes—
845C22×Q8C2412yes—
846C22×D4—44no—
847C22×D4—44no—
848C22×D4—44no—
849C22×D4—44no—
850C22×D4—44no—
851C22×D4—44no—
852C22×D4C2411yescharacteristic
853C22×D4C2411yescharacteristic
854C22×D4C2411yescharacteristic
855C22×D4C2412yes—
856C22×D4C2411yescharacteristic
857C22×D4C2412yes—
858C22×D4C2411yescharacteristic
859C22×D4C2411yescharacteristic
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2414yes—
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2414yes—
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2412yes—
874C22×D4C2414yes—
875C22×D4C2414yes—
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2414yes—
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2414yes—
882C22×D4C2414yes—
883C22×D4C2414yes—
884C22×D4C2414yes—
885C22×D4C2414yes—
886C22×D4C2414yes—
887C22×D4C2414yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2414yes—
893C22×D4C2412yes—
894C23×C4C2412yes—
895C23×C4C2411yescharacteristic
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2412yes—
899C23×C4C2412yes—
900C23×C4C2411yescharacteristic
901C23×C4C2411yescharacteristic
902C23×C4C2411yescharacteristic
903C23×C4C2411yescharacteristic
904C23×C4C2412yes—
905C23×C4C2414yes—
906C23×C4C2414yes—
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2412yes—
910C23×C4C2411yescharacteristic
911C23×C4C2414yes—
912C4⋊Q8—28no—
913C4⋊Q8—42no—
914C4⋊Q8—42no—
915C4⋊Q8—42no—
916C4⋊Q8—44no—
917C4⋊Q8—44no—
918#127—24no—
919#127—42no—
920#127—42no—
921#127—42no—
922#127—42no—
923#127—44no—
924#127—44no—
925#127—44no—
926#127—48no—
927#127—48no—
928#127—44no—
929#127—84no—
930#127—84no—
931#126—44no—
932#126—48no—
933#125—42no—
934#125—44no—
935#124—24no—
936#124—44no—
937#124—44no—
938#124—44no—
939#124—44no—
940#124—44no—
941#124—48no—
942#124—48no—
943#124—48no—
944#124—42no—
945#124—48no—
946#124—48no—
947#124—48no—
948#124—84no—
949#123—48no—
950#123—44no—
951#123—48no—
952C22⋊Q8—24no—
953C22⋊Q8—48no—
954C22⋊Q8—42no—
955C22⋊Q8—44no—
956C22⋊Q8—44no—
957#121—28no—
958#121—24no—
959#121—24no—
960#121—28no—
961#121—24no—
962#121—44no—
963#121—44no—
964#121—44no—
965#121—44no—
966#121—48no—
967#121—44no—
968#121—44no—
969#121—48no—
970#121—48no—
971#121—48no—
972#121—44no—
973#121—44no—
974#121—48no—
975#121—48no—
976#121—48no—
977#121—48no—
978#121—48no—
979#121—44no—
980#121—44no—
981#121—44no—
982#121—44no—
983#121—42no—
984#121—44no—
985#121—42no—
986#121—42no—
987#121—42no—
988#121—44no—
989#121—42no—
990#121—42no—
991#121—44no—
992#121—44no—
993#121—42no—
994#121—44no—
995#121—44no—
996#121—44no—
997#121—44no—
998#121—44no—
999#121—44no—
1000#121—48no—
1001#121—44no—
1002#121—44no—
1003#121—44no—
1004#121—44no—
1005#121—44no—
1006#121—44no—
1007#121—44no—
1008#121—82no—
1009#120—48no—
1010#120—48no—
1011#120—48no—
1012#120—48no—
1013#120—48no—
1014#120—48no—
1015#120—48no—
1016#120—84no—
1017#120—84no—
1018C4×Q8—24no—
1019C4×D4—24no—
1020C4×D4—24no—
1021C4×D4—24no—
1022C4×D4—24no—
1023C4×D4—24no—
1024C4×D4—24no—
1025C4×D4—24no—
1026C4×D4—24no—
1027C4×D4—28no—
1028C4×D4—28no—
1029C4×D4—24no—
1030C4×D4—42no—
1031C4×D4—44no—
1032C4×D4—44no—
1033C4×D4—44no—
1034C4×D4—42no—
1035C4×D4—44no—
1036C4×D4—48no—
1037C4×D4—44no—
1038C4×D4—44no—
1039C4×D4—44no—
1040C4×D4—44no—
1041C4×D4—44no—
1042C4×D4—48no—
1043C4×D4—44no—
1044C4×D4—44no—
1045C4×D4—42no—
1046C4×D4—48no—
1047C4×D4—82no—
1048#117—28no—
1049#117—28no—
1050#117—44no—
1051#117—48no—
1052#117—44no—
1053#117—82no—
1054C2×C4⋊C4—28no—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C22⋊C4—48no—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2411yescharacteristic
1111C2×C22⋊C4C2411yescharacteristic
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2411yescharacteristic
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2411yescharacteristic
1157C2×C22⋊C4C2411yescharacteristic
1158C2×C22⋊C4C2411yescharacteristic
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C42—24no—
1183C2×C42—28no—
1184C2×C42—24no—
1185C2×C42—44no—
1186C2×C42C2414yes—
1187C2×C42C2411yescharacteristic
1188C2×C42C2412yes—
1189C2×C42C2414yes—
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2412yes—
1193C2×C42C2411yescharacteristic
1194C2×C42C2412yes—
1195C2×C42C2412yes—
1196C2×C42C2411yescharacteristic
1197C2×C42C2411yescharacteristic
1198C2×C42C2411yescharacteristic
1199C2×C42C2411yescharacteristic
1200C2×C42C2411yescharacteristic
1201C2×C42C2412yes—
1202C2×C42C2414yes—
1203C2×C42C2414yes—
1204C2×C42C2411yescharacteristic
1205C2×C42C2412yes—
1206C2×C42C2411yescharacteristic
1207C2×C42C2412yes—
1208C2×C42C2414yes—
1209C2×C42C2411yescharacteristic
1210C2×C42C2411yescharacteristic
1211#95C2412yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2411yescharacteristic
1216#95C2414yes—
1217#95C2412yes—
1218#95C2411yescharacteristic
1219#95C2411yescharacteristic
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2411yescharacteristic
1226#95C2411yescharacteristic
1227#95C2411yescharacteristic
1228#95C2412yes—
1229#95C2412yes—
1230#95C2414yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2414yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2414yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2412yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2412yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257C24—44no—
1258C24—44no—
1259C24—44no—
1260C24—44no—
1261C24—44no—
1262C24—44no—
1263C24—44no—
1264C24C2512yes—
1265C24C2512yes—
1266C24C2514yes—
1267C24C2511yescharacteristic
1268C24C2512yes—
1269C24C2512yes—
1270C24C2512yes—
1271C24C2511yescharacteristic
1272#41—816no—
1273#41—816no—
1274#41—816no—
1275#41—832no—
1276#41—816no—
1277C2×Q8—22no—
1278C2×Q8—22no—
1279C2×Q8—22no—
1280C2×Q8—28no—
1281C2×Q8—42no—
1282C2×Q8—42no—
1283C2×Q8—42no—
1284C2×Q8—44no—
1285C2×Q8—42no—
1286C2×Q8—42no—
1287C2×Q8—42no—
1288C2×Q8—42no—
1289C2×Q8—42no—
1290C2×Q8—44no—
1291C2×Q8—42no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—24no—
1302C2×D4—22no—
1303C2×D4—24no—
1304C2×D4—24no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—24no—
1308C2×D4—22no—
1309C2×D4—24no—
1310C2×D4—24no—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—24no—
1314C2×D4—28no—
1315C2×D4—28no—
1316C2×D4—24no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—24no—
1320C2×D4—22no—
1321C2×D4—24no—
1322C2×D4—24no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—42no—
1326C2×D4—42no—
1327C2×D4—44no—
1328C2×D4—42no—
1329C2×D4—42no—
1330C2×D4—42no—
1331C2×D4—42no—
1332C2×D4—42no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—42no—
1336C2×D4—42no—
1337C2×D4—42no—
1338C2×D4—42no—
1339C2×D4—42no—
1340C2×D4—42no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—42no—
1346C2×D4—42no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—42no—
1350C2×D4—44no—
1351C2×D4—42no—
1352C2×D4—42no—
1353C2×D4—42no—
1354C2×D4—42no—
1355C2×D4—42no—
1356C2×D4—42no—
1357C2×D4—44no—
1358C2×D4—42no—
1359C2×D4—42no—
1360C2×D4—42no—
1361C2×D4—44no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—44no—
1371C2×D4—42no—
1372C2×D4—44no—
1373C2×D4—42no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—42no—
1379C2×D4—42no—
1380C2×D4—42no—
1381C2×D4—42no—
1382C2×D4—42no—
1383C2×D4—44no—
1384C2×D4—42no—
1385C2×D4—42no—
1386C2×D4—42no—
1387C2×D4—42no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—42no—
1391C2×D4—42no—
1392C2×D4—42no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—42no—
1398C2×D4—42no—
1399C2×D4—42no—
1400C2×D4—44no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—816no—
1419C2×D4—816no—
1420C22×C4—22no—
1421C22×C4—22no—
1422C22×C4—24no—
1423C22×C4—22no—
1424C22×C4—22no—
1425C22×C4—24no—
1426C22×C4—22no—
1427C22×C4—24no—
1428C22×C4—24no—
1429C22×C4—24no—
1430C22×C4—24no—
1431C22×C4—22no—
1432C22×C4—24no—
1433C22×C4—24no—
1434C22×C4—24no—
1435C22×C4—24no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—24no—
1439C22×C4—24no—
1440C22×C4—24no—
1441C22×C4—24no—
1442C22×C4—24no—
1443C22×C4—22no—
1444C22×C4—22no—
1445C22×C4—24no—
1446C22×C4—22no—
1447C22×C4—22no—
1448C22×C4—22no—
1449C22×C4—22no—
1450C22×C4—24no—
1451C22×C4—24no—
1452C22×C4—24no—
1453C22×C4—22no—
1454C22×C4—28no—
1455C22×C4—28no—
1456C22×C4—24no—
1457C22×C4—42no—
1458C22×C4—41no—
1459C22×C4—42no—
1460C22×C4—42no—
1461C22×C4—42no—
1462C22×C4—44no—
1463C22×C4—44no—
1464C22×C4—44no—
1465C22×C4—44no—
1466C22×C4—42no—
1467C22×C4—41no—
1468C22×C4—44no—
1469C22×C4—44no—
1470C22×C4—42no—
1471C22×C4—42no—
1472C22×C4—44no—
1473C22×C4—41no—
1474C22×C4C2512yes—
1475C22×C4C2511yescharacteristic
1476C22×C4C2512yes—
1477C22×C4C2514yes—
1478C22×C4C2512yes—
1479C22×C4C2511yescharacteristic
1480C22×C4C2512yes—
1481C22×C4C2511yescharacteristic
1482C22×C4C2512yes—
1483C22×C4C2514yes—
1484C22×C4C2514yes—
1485C22×C4C2512yes—
1486C22×C4C2511yescharacteristic
1487C22×C4C2511yescharacteristic
1488C22×C4C2512yes—
1489C22×C4C2512yes—
1490C22×C4C2512yes—
1491C22×C4C2511yescharacteristic
1492C22×C4C2511yescharacteristic
1493C22×C4C2511yescharacteristic
1494C22×C4C2511yescharacteristic
1495C22×C4C2512yes—
1496C22×C4C2512yes—
1497C22×C4C2511yescharacteristic
1498C22×C4C2511yescharacteristic
1499C22×C4C2511yescharacteristic
1500C22×C4C2511yescharacteristic
1501C4⋊C4—24no—
1502C4⋊C4—28no—
1503C4⋊C4—24no—
1504C4⋊C4—24no—
1505C4⋊C4—28no—
1506C4⋊C4—24no—
1507C4⋊C4—22no—
1508C4⋊C4—22no—
1509C4⋊C4—22no—
1510C4⋊C4—24no—
1511C4⋊C4—22no—
1512C4⋊C4—22no—
1513C4⋊C4—22no—
1514C4⋊C4—22no—
1515C4⋊C4—24no—
1516C4⋊C4—22no—
1517C4⋊C4—24no—
1518C4⋊C4—24no—
1519C4⋊C4—22no—
1520C4⋊C4—22no—
1521C4⋊C4—24no—
1522C4⋊C4—24no—
1523C4⋊C4—42no—
1524C4⋊C4—42no—
1525C4⋊C4—42no—
1526C4⋊C4—42no—
1527C4⋊C4—42no—
1528C4⋊C4—41no—
1529C4⋊C4—42no—
1530C4⋊C4—42no—
1531C4⋊C4—42no—
1532C4⋊C4—42no—
1533C4⋊C4—44no—
1534C4⋊C4—42no—
1535C4⋊C4—44no—
1536C4⋊C4—42no—
1537C4⋊C4—42no—
1538C4⋊C4—42no—
1539C4⋊C4—44no—
1540C4⋊C4—44no—
1541C4⋊C4—44no—
1542C4⋊C4H(5,𝔽2)14yes—
1543C4⋊C4H(5,𝔽2)14yes—
1544C22⋊C4—24no—
1545C22⋊C4—24no—
1546C22⋊C4—28no—
1547C22⋊C4—28no—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—24no—
1551C22⋊C4—28no—
1552C22⋊C4—24no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—24no—
1556C22⋊C4—24no—
1557C22⋊C4—22no—
1558C22⋊C4—22no—
1559C22⋊C4—24no—
1560C22⋊C4—24no—
1561C22⋊C4—28no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—28no—
1566C22⋊C4—24no—
1567C22⋊C4—22no—
1568C22⋊C4—24no—
1569C22⋊C4—28no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—42no—
1575C22⋊C4—42no—
1576C22⋊C4—44no—
1577C22⋊C4—41no—
1578C22⋊C4—42no—
1579C22⋊C4—41no—
1580C22⋊C4—41no—
1581C22⋊C4—42no—
1582C22⋊C4—44no—
1583C22⋊C4—42no—
1584C22⋊C4—42no—
1585C22⋊C4—42no—
1586C22⋊C4—42no—
1587C22⋊C4—42no—
1588C22⋊C4—42no—
1589C22⋊C4—44no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4—42no—
1593C22⋊C4—44no—
1594C22⋊C4—42no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—44no—
1598C22⋊C4—42no—
1599C22⋊C4—42no—
1600C22⋊C4—42no—
1601C22⋊C4—44no—
1602C22⋊C4—42no—
1603C22⋊C4—42no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—42no—
1612C22⋊C4—42no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—42no—
1617C22⋊C4—42no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—44no—
1626C22⋊C4—42no—
1627C42—22no—
1628C42—24no—
1629C42—22no—
1630C42—22no—
1631C42—22no—
1632C42—24no—
1633C42—22no—
1634C42—22no—
1635C42—24no—
1636C42—22no—
1637C42—24no—
1638C42—28no—
1639C42—28no—
1640C42—24no—
1641C42—22no—
1642C42—22no—
1643C42—42no—
1644C42—42no—
1645C42—44no—
1646C42—44no—
1647C42—41no—
1648C42—41no—
1649C42—44no—
1650C42H(5,𝔽2)14yes—
1651C42H(5,𝔽2)14yes—
1652C23—22no—
1653C23—22no—
1654C23—22no—
1655C23—21no—
1656C23—22no—
1657C23—22no—
1658C23—22no—
1659C23—22no—
1660C23—22no—
1661C23—22no—
1662C23—21no—
1663C23—21no—
1664C23—22no—
1665C23—24no—
1666C23—24no—
1667C23—22no—
1668C23—22no—
1669C23—24no—
1670C23—22no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—21no—
1675C23—21no—
1676C23—22no—
1677C23—24no—
1678C23—22no—
1679C23—21no—
1680C23—22no—
1681C23—22no—
1682C23—21no—
1683C23—21no—
1684C23—21no—
1685C23—24no—
1686C23—22no—
1687C23—22no—
1688C23—22no—
1689C23—22no—
1690C23—22no—
1691C23—24no—
1692C23—21no—
1693C23—21no—
1694C23—21no—
1695C23—22no—
1696C23—22no—
1697C23—22no—
1698C23—22no—
1699C23—22no—
1700C23—21no—
1701C23—22no—
1702C23—24no—
1703C23—22no—
1704C23—22no—
1705C23—22no—
1706C23—21no—
1707C23—22no—
1708C23—88no—
1709C23—88no—
1710C23—88no—
1711C23—164no—
1712C23—164no—
1713C23—164no—
1714C23—164no—
1715C23C2611yescharacteristic
1716Q8—44no—
1717Q8—88no—
1718Q8—84no—
1719Q8—84no—
1720Q8—84no—
1721D4—44no—
1722D4—44no—
1723D4—44no—
1724D4—48no—
1725D4—44no—
1726D4—44no—
1727D4—44no—
1728D4—48no—
1729D4—88no—
1730D4—84no—
1731D4—84no—
1732D4—84no—
1733D4—84no—
1734D4—84no—
1735D4—84no—
1736D4—84no—
1737D4—88no—
1738D4—88no—
1739D4—84no—
1740D4—88no—
1741D4—84no—
1742D4—84no—
1743D4—88no—
1744D4—88no—
1745D4—84no—
1746D4—84no—
1747D4—84no—
1748D4—84no—
1749D4—84no—
1750D4—84no—
1751D4—84no—
1752D4—84no—
1753D4—84no—
1754D4—88no—
1755D4—88no—
1756D4—88no—
1757D4—164no—
1758D4—164no—
1759D4—164no—
1760D4—164no—
1761D4—164no—
1762D4—164no—
1763C2×C4—21no—
1764C2×C4—22no—
1765C2×C4—21no—
1766C2×C4—22no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—22no—
1771C2×C4—21no—
1772C2×C4—22no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—22no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—24no—
1786C2×C4—22no—
1787C2×C4—21no—
1788C2×C4—24no—
1789C2×C4—21no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—21no—
1793C2×C4—22no—
1794C2×C4—24no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—24no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—21no—
1812C2×C4—24no—
1813C2×C4—22no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—22no—
1817C2×C4—24no—
1818C2×C4—21no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—21no—
1822C2×C4—24no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—21no—
1826C2×C4—22no—
1827C2×C4—24no—
1828C2×C4—21no—
1829C2×C4—24no—
1830C2×C4—21no—
1831C2×C4—22no—
1832C2×C4—44no—
1833C2×C4—48no—
1834C2×C4—48no—
1835C2×C4—44no—
1836C2×C4—48no—
1837C2×C4—48no—
1838C2×C4—44no—
1839C2×C4—48no—
1840C2×C4—48no—
1841C2×C4—48no—
1842C2×C4—44no—
1843C2×C4—44no—
1844C2×C4—84no—
1845C2×C4—88no—
1846C2×C4—84no—
1847C2×C4—82no—
1848C2×C4—88no—
1849C2×C4—88no—
1850C2×C4C2×H(5,𝔽2)12yes—
1851C2×C4C2×H(5,𝔽2)12yes—
1852C2×C4C2×H(5,𝔽2)12yes—
1853C2×C4C2×H(5,𝔽2)14yes—
1854C2×C4C2×H(5,𝔽2)14yes—
1855C2×C4C2×H(5,𝔽2)12yes—
1856C2×C4C2×H(5,𝔽2)12yes—
1857C2×C4C2×H(5,𝔽2)12yes—
1858C2×C4C2×H(5,𝔽2)12yes—
1859C2×C4C2×H(5,𝔽2)12yes—
1860C2×C4#58512yes—
1861C2×C4#58512yes—
1862C22—41no—
1863C22—42no—
1864C22—42no—
1865C22—41no—
1866C22—42no—
1867C22—44no—
1868C22—42no—
1869C22—42no—
1870C22—41no—
1871C22—41no—
1872C22—42no—
1873C22—42no—
1874C22—42no—
1875C22—44no—
1876C22—42no—
1877C22—42no—
1878C22—42no—
1879C22—42no—
1880C22—42no—
1881C22—41no—
1882C22—44no—
1883C22—42no—
1884C22—41no—
1885C22—42no—
1886C22—42no—
1887C22—41no—
1888C22—41no—
1889C22—42no—
1890C22—42no—
1891C22—44no—
1892C22—42no—
1893C22—42no—
1894C22—42no—
1895C22—42no—
1896C22—44no—
1897C22—41no—
1898C22—41no—
1899C22—42no—
1900C22—42no—
1901C22—42no—
1902C22—42no—
1903C22—42no—
1904C22—42no—
1905C22—41no—
1906C22—42no—
1907C22—42no—
1908C22—44no—
1909C22—41no—
1910C22—41no—
1911C22—41no—
1912C22—42no—
1913C22—42no—
1914C22—42no—
1915C22—44no—
1916C22—42no—
1917C22—42no—
1918C22—1616no—
1919C22C22×H(5,𝔽2)11yescharacteristic
1920C22C22×H(5,𝔽2)11yescharacteristic
1921C22C22×H(5,𝔽2)11yescharacteristic
1922C22C22×H(5,𝔽2)11yescharacteristic
1923C22C2×#58511yescharacteristic
1924C22C2×#58511yescharacteristic
1925C22H(7,𝔽2)11yescharacteristic
1926C4—24no—
1927C4—22no—
1928C4—22no—
1929C4—24no—
1930C4—22no—
1931C4—22no—
1932C4—41no—
1933C4—42no—
1934C4—41no—
1935C4—42no—
1936C4—42no—
1937C4—42no—
1938C4—42no—
1939C4—41no—
1940C4—41no—
1941C4—42no—
1942C4—41no—
1943C4—44no—
1944C4—42no—
1945C4—42no—
1946C4—44no—
1947C4—41no—
1948C4—44no—
1949C4—41no—
1950C4—42no—
1951C4#354614yes—
1952C4#354914yes—
1953C2—81no—
1954C2—82no—
1955C2—81no—
1956C2—82no—
1957C2—82no—
1958C2—84no—
1959C2—82no—
1960C2—82no—
1961C2C2×#354611yescharacteristic
1962C2C2×#354911yescharacteristic
1963C2#6275911yescharacteristic
1964C2#6291211yescharacteristic
1965C2#6292311yescharacteristic
1966C2#6295711yescharacteristic
1967C2#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. #59412C2semidirect
2. #59234C2semidirect
3. #59232C2semidirect
4. #59229C2semidirect
5. #59056C2semidirect
6. #58934C2semidirect
7. #58884C2semidirect
8. #53055C2semidirect
9. #53046C2semidirect
10. #52969C2semidirect
11. #52967C2semidirect
12. #52325C2semidirect
13. #42986C2semidirect
14. #42963C2semidirect
15. #42731C2semidirect
16. #42433C2semidirect
17. #41234C2semidirect
18. #40173C2semidirect
19. #39876C2semidirect
20. #39342C2semidirect
21. #39342C2semidirect
22. #39341C2semidirect
23. #39334C2semidirect
24. #39138C2semidirect
25. #37782C2semidirect
26. #37639C2semidirect
27. #37621C2semidirect
28. #37618C2semidirect
29. #37513C2semidirect
30. #36468C2semidirect
31. #36211C2semidirect
32. #36174C2semidirect
33. #34925C2semidirect
34. #34925C2semidirect
35. #34889C2semidirect
36. C2×#555C22semidirect
37. C2×#553C22semidirect
41. C2×#537C22semidirect
46. C2×#532C22semidirect
47. C2×#532C22semidirect
48. C2×#532C22semidirect
49. C2×#532C22semidirect
50. C2×#529C22semidirect
51. #2859C22semidirect
56. #2832C22semidirect
57. #2832C22semidirect
58. #2828C22semidirect
59. #2828C22semidirect
60. #2828C22semidirect
61. #2824C22semidirect
62. #2819C22semidirect
63. #2819C22semidirect
64. #2818C22semidirect
65. #2815C22semidirect
66. #2815C22semidirect
67. #2815C22semidirect
68. #2813C22semidirect
69. #2812C22semidirect
70. #2775C22semidirect
71. #2763C22semidirect
72. #2753C22semidirect
73. #2737C22semidirect
74. #2736C22semidirect
75. #2733C22semidirect
76. #2733C22semidirect
77. #2723C22semidirect
78. #2714C22semidirect
79. #2714C22semidirect
80. #2712C22semidirect
81. #2710C22semidirect
82. #2703C22semidirect
83. #2699C22semidirect
84. #2696C22semidirect
85. #2686C22semidirect
87. #2678C22semidirect
88. #2678C22semidirect
89. #2676C22semidirect
90. #2675C22semidirect
91. #2674C22semidirect
92. #2673C22semidirect
93. #2673C22semidirect
94. #2673C22semidirect
97. #2670C22semidirect
98. #2670C22semidirect
99. #2670C22semidirect
102. #2669C22semidirect
103. #2669C22semidirect
104. #2669C22semidirect
105. #2669C22semidirect
106. #2668C22semidirect
107. #2662C22semidirect
108. #2662C22semidirect
109. #2657C22semidirect
110. #2640C22semidirect
111. #2635C22semidirect
112. #2635C22semidirect
113. #2631C22semidirect
114. #2631C22semidirect
115. #2631C22semidirect
116. #2628C22semidirect
118. #2619C22semidirect
119. #2619C22semidirect
120. #2619C22semidirect
121. #2616C22semidirect
125. #2615C22semidirect
126. #2615C22semidirect
127. #2615C22semidirect
128. #2615C22semidirect
129. #2615C22semidirect
130. #2610C22semidirect
131. #2602C22semidirect
132. #2572C22semidirect
133. #2563C22semidirect
134. #2563C22semidirect
135. #2562C22semidirect
136. #2562C22semidirect
137. #2559C22semidirect
138. #2559C22semidirect
139. #2557C22semidirect
140. #2555C22semidirect
141. #2555C22semidirect
142. #2555C22semidirect
143. #2555C22semidirect
144. #2551C22semidirect
145. #2551C22semidirect
146. #2550C22semidirect
147. #2547C22semidirect
148. #2547C22semidirect
157. #2541C22semidirect
158. #2541C22semidirect
159. #2541C22semidirect
160. #2541C22semidirect
161. #2541C22semidirect
163. #2540C22semidirect
165. #2538C22semidirect
169. #2537C22semidirect
170. #2537C22semidirect
171. #2537C22semidirect
173. #2535C22semidirect
174. #2535C22semidirect
175. #2535C22semidirect
176. #2535C22semidirect
177. #2529C22semidirect
178. #2526C22semidirect
179. #2521C22semidirect
180. #2518C22semidirect
181. #2518C22semidirect
183. #2513C22semidirect
184. #2513C22semidirect
185. #2496C22semidirect
186. #2495C22semidirect
187. #2495C22semidirect
188. #2492C22semidirect
189. #2492C22semidirect
195. #2491C22semidirect
196. #2491C22semidirect
197. #2491C22semidirect
198. #2491C22semidirect
201. #2490C22semidirect
202. #2490C22semidirect
203. #2490C22semidirect
204. #2489C22semidirect
205. #2485C22semidirect
206. #2474C22semidirect
207. #2474C22semidirect
208. #2472C22semidirect
209. #2464C22semidirect
210. #2459C22semidirect
211. #2452C22semidirect
212. #2439C22semidirect
216. #2431C22semidirect
217. #2431C22semidirect
218. #2431C22semidirect
219. #2431C22semidirect
224. #2428C22semidirect
225. #2428C22semidirect
226. #2428C22semidirect
227. #2428C22semidirect
228. #2428C22semidirect
229. #2428C22semidirect
230. #2428C22semidirect
231. #2427C22semidirect
233. #2424C22semidirect
235. #2420C22semidirect
236. #2420C22semidirect
237. #2420C22semidirect
238. #2420C22semidirect
240. #2416C22semidirect
241. #2415C22semidirect
245. #2414C22semidirect
246. #2414C22semidirect
247. #2414C22semidirect
248. #2414C22semidirect
255. #2407C22semidirect
256. #2407C22semidirect
257. #2404C22semidirect
258. #2395C22semidirect
259. #2388C22semidirect
260. #2388C22semidirect
261. #2388C22semidirect
262. #2388C22semidirect
263. #2369C22semidirect
264. #2363C22semidirect
265. #2363C22semidirect
266. #2363C22semidirect
267. #2363C22semidirect
268. #2357C22semidirect
269. #2355C22semidirect
272. #2352C22semidirect
273. D4×C4⋊C4C22semidirect
274. #2347C22semidirect
275. #2346C22semidirect
276. #2344C22semidirect
278. #2324C22semidirect
279. #2321C22semidirect
283. C4×C22⋊Q8C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. C4×#121C22semidirect
292. #2297C22semidirect
293. #2285C22semidirect
294. #2285C22semidirect
295. #2283C22semidirect
296. C42×D4C22semidirect
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
#594122
#592342
#592322
#592292
#590562
#589342
#588842
#530552
#530462
#529692
#529672
#523252
#429862
#429632
#427312
#424332
#412342
#401732
#398762
#393422
#393412
#393342
#391382
#377822
#376392
#376212
#376182
#375132
#364682
#362112
#361742
#349252
#348892