Finite Group Databasebeta

← #7685840

Subgroups — #7685840

Order 512.

5791 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59962C212yesmaximal, complemented
2#59823C211yesmaximal, characteristic, complemented
3#59424C212yesmaximal, complemented
4#59424C212yesmaximal, complemented
5#59268C214yesmaximal, complemented
6#59143C211yesmaximal, characteristic, complemented
7#59083C212yesmaximal, complemented
8#59064C211yesmaximal, characteristic, complemented
9#45155C212yesmaximal, complemented
10#44995C212yesmaximal, complemented
11#43780C214yesmaximal, complemented
12#43461C214yesmaximal, complemented
13#40149C212yesmaximal, complemented
14#40057C212yesmaximal, complemented
15#39771C211yesmaximal, characteristic, complemented
16#39736C211yesmaximal, characteristic, complemented
17#38508C214yesmaximal, complemented
18#38078C212yesmaximal, complemented
19#36599C211yesmaximal, characteristic, complemented
20#36552C211yesmaximal, characteristic, complemented
21#36291C212yesmaximal, complemented
22#36271C211yesmaximal, characteristic, complemented
23#36215C212yesmaximal, complemented
24#36161C212yesmaximal, complemented
25#36121C211yesmaximal, characteristic
26#36117C211yesmaximal, characteristic, complemented
27#35860C212yesmaximal, complemented
28#35787C212yesmaximal, complemented
29#34772C211yesmaximal, characteristic, complemented
30#34700C212yesmaximal, complemented
31#34331C211yesmaximal, characteristic, complemented
32#34288C212yesmaximal, complemented
33#34206C211yesmaximal, characteristic, complemented
34C4×#554C211yesmaximal, characteristic, complemented
35C2×#2366C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#556C2212yescomplemented
38C2×#554C2211yescharacteristic
39C2×#554C2212yescomplemented
40C2×#546C2212yes—
41C2×#532C2211yescharacteristic
42C22×#127C2211yescharacteristic
43C2×#529C2212yescomplemented
44C2×#520C2212yescomplemented
45C22×C4×D4C2212yes—
46C22×C4×D4C2212yes—
47#2860C2212yescomplemented
48#2858C2211yescharacteristic
49#2857C2211yescharacteristic
50#2857C2212yes—
51#2856C2211yescharacteristic
52#2854C2212yescomplemented
53#2851C2212yes—
54#2848C2214yes—
55#2796C2214yescomplemented
56#2786C2214yescomplemented
57#2786C2214yescomplemented
58#2782C2214yescomplemented
59#2781C2214yescomplemented
60#2761C2214yescomplemented
61#2751C2214yescomplemented
62#2750C2214yescomplemented
63#2743C2214yescomplemented
64#2740C2214yescomplemented
65#2740C2214yescomplemented
66#2732C2214yescomplemented
67#2709C2214yes—
68#2708C2214yescomplemented
69#2696C2214yescomplemented
70#2694C2214yescomplemented
71#2694C2214yescomplemented
72#2693C2214yescomplemented
73#2691C2214yescomplemented
74#2681C2214yescomplemented
75#2681C2214yescomplemented
76#2649C2214yescomplemented
77#2640C2212yescomplemented
78#2636C2214yescomplemented
79#2620C2212yescomplemented
80#2609C2214yescomplemented
81#2601C2214yescomplemented
82#2601C2214yescomplemented
83#2601C2214yescomplemented
84#2595C2214yescomplemented
85#2592C2212yescomplemented
86#2592C2212yescomplemented
87#2590C2214yescomplemented
88#2585C2214yescomplemented
89#2580C2212yescomplemented
90#2579C2214yescomplemented
91#2569C2214yes—
92#2568C2211yescharacteristic, complemented
93#2566C2212yescomplemented
94#2564C2214yescomplemented
95#2560C2214yescomplemented
96#2560C2214yescomplemented
97#2560C2214yescomplemented
98#2553C2214yescomplemented
99#2552C2211yescharacteristic, complemented
100#2552C2211yescharacteristic, complemented
101#2548C2211yescharacteristic
102#2548C2211yescharacteristic
103#2547C2212yescomplemented
104#2546C2211yescharacteristic, complemented
105#2545C2212yescomplemented
106#2544C2212yes—
107#2544C2212yes—
108#2544C2212yes—
109#2542C2212yescomplemented
110#2538C2212yescomplemented
111#2538C2212yescomplemented
112#2538C2212yescomplemented
113#2522C2212yescomplemented
114#2520C2212yescomplemented
115#2516C2214yescomplemented
116#2513C2212yescomplemented
117#2512C2212yescomplemented
118#2512C2212yescomplemented
119#2512C2212yescomplemented
120#2512C2212yescomplemented
121#2511C2212yescomplemented
122#2511C2212yescomplemented
123#2511C2211yescharacteristic, complemented
124#2509C2212yescomplemented
125#2508C2212yescomplemented
126#2507C2211yescharacteristic, complemented
127#2505C2214yes—
128#2505C2212yes—
129#2502C2211yescharacteristic
130#2502C2212yes—
131#2501C2212yescomplemented
132#2498C2214yescomplemented
133#2497C2211yescharacteristic, complemented
134#2492C2211yescharacteristic, complemented
135#2490C2212yescomplemented
136#2488C2214yescomplemented
137#2487C2211yescharacteristic
138#2485C2214yescomplemented
139#2481C2214yescomplemented
140#2481C2214yescomplemented
141#2480C2214yes—
142#2480C2214yes—
143#2480C2214yes—
144#2480C2214yes—
145#2479C2214yescomplemented
146#2477C2214yescomplemented
147#2471C2214yescomplemented
148#2468C2214yescomplemented
149#2467C2214yescomplemented
150#2466C2214yescomplemented
151#2466C2214yescomplemented
152#2463C2214yescomplemented
153#2457C2214yescomplemented
154#2454C2212yescomplemented
155#2454C2212yescomplemented
156#2454C2212yescomplemented
157#2453C2212yescomplemented
158#2452C2212yescomplemented
159#2450C2212yes—
160#2450C2214yescomplemented
161#2449C2214yescomplemented
162#2448C2212yescomplemented
163#2448C2212yescomplemented
164#2447C2212yescomplemented
165#2447C2212yescomplemented
166#2447C2212yescomplemented
167#2447C2212yescomplemented
168#2447C2212yescomplemented
169#2446C2212yescomplemented
170#2445C2212yes—
171#2445C2212yes—
172#2445C2212yes—
173#2445C2212yes—
174#2442C2212yes—
175#2440C2211yescharacteristic
176#2437C2214yes—
177#2437C2214yes—
178#2437C2214yes—
179#2435C2212yes—
180#2435C2212yes—
181#2435C2212yes—
182#2432C2212yescomplemented
183#2431C2212yes—
184#2428C2212yes—
185#2428C2212yes—
186#2427C2212yescomplemented
187#2425C2214yescomplemented
188#2420C2212yescomplemented
189#2420C2212yescomplemented
190#2419C2214yescomplemented
191#2418C2214yes—
192#2418C2214yes—
193#2417C2211yescharacteristic
194#2417C2214yescomplemented
195#2415C2214yescomplemented
196#2408C2212yes—
197#2408C2212yes—
198#2405C2214yes—
199#2402C2212yescomplemented
200#2396C2212yescomplemented
201#2395C2214yescomplemented
202#2392C2214yescomplemented
203#2370C2212yescomplemented
204#2370C2212yescomplemented
205#2369C2211yescharacteristic, complemented
206#2368C2212yes—
207#2368C2212yescomplemented
208#2367C2212yescomplemented
209#2367C2212yescomplemented
210#2367C2212yescomplemented
211#2367C2212yescomplemented
212#2367C2212yescomplemented
213#2366C2214yes—
214#2366C2211yescharacteristic
215#2366C2212yes—
216#2366C2211yescharacteristic
217#2366C2211yescharacteristic
218#2366C2211yescharacteristic
219#2366C2212yes—
220#2366C2212yes—
221#2366C2212yes—
222#2366C2211yescharacteristic
223#2365C2211yescharacteristic, complemented
224#2365C2211yescharacteristic, complemented
225#2361C2212yescomplemented
226#2361C2214yescomplemented
227#2360C2211yescharacteristic
228#2360C2212yes—
229#2360C2211yescharacteristic, complemented
230#2359C2214yescomplemented
231#2359C2214yescomplemented
232#2358C2214yes—
233#2355C2212yescomplemented
234#2355C2211yescharacteristic, complemented
235#2355C2211yescharacteristic, complemented
236#2354C2212yescomplemented
237#2354C2212yescomplemented
238#2354C2212yescomplemented
239#2352C2214yescomplemented
240Q8×C4⋊C4C2211yescharacteristic, complemented
241#2349C2212yes—
242#2349C2212yescomplemented
243#2349C2212yescomplemented
244D4×C4⋊C4C2211yescharacteristic
245D4×C4⋊C4C2212yescomplemented
246D4×C4⋊C4C2212yescomplemented
247#2345C2211yescharacteristic
248#2345C2212yes—
249#2345C2211yescharacteristic, complemented
250#2342C2214yes—
251#2342C2214yes—
252#2339C2212yescomplemented
253D4×C22⋊C4C2212yes—
254D4×C22⋊C4C2212yes—
255D4×C22⋊C4C2212yes—
256D4×C22⋊C4C2212yes—
257#2335C2214yescomplemented
258#2326C2212yescomplemented
259#2326C2212yescomplemented
260#2325C2214yescomplemented
261#2325C2214yescomplemented
262#2324C2212yescomplemented
263#2322C2214yescomplemented
264#2311C2212yescomplemented
265C4×C4⋊Q8C2211yescharacteristic, complemented
266C4×C4⋊Q8C2211yescharacteristic, complemented
267C4×#127C2211yescharacteristic
268C4×#125C2212yescomplemented
269C4×#124C2212yescomplemented
270C4×C22⋊Q8C2211yescharacteristic
271C4×C22⋊Q8C2211yescharacteristic
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2212yes—
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2211yescharacteristic, complemented
277C4×C22⋊Q8C2211yescharacteristic, complemented
278C4×C22⋊Q8C2212yescomplemented
279C4×#121C2212yescomplemented
280C4×#121C2212yescomplemented
281C4×#120C2214yes—
282#2295C2211yescharacteristic, complemented
283#2293C2212yescomplemented
284#2293C2212yescomplemented
285C2×#390C2212yes—
286C2×#390C2212yes—
287#2290C2212yes—
288C2×#386C2214yes—
289C2×#385C2214yes—
290#2285C2211yescharacteristic, complemented
291#2280C2214yes—
292#2275C2212yescomplemented
293C42×Q8C2211yescharacteristic, complemented
294C42×D4C2211yescharacteristic
295C42×D4C2212yes—
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C23×D4C2312yes—
301C23×D4C2312yes—
302C23×D4C2312yes—
303C24×C4C2314yes—
304#559—28no—
305#556—48no—
306#554—28no—
307#554—48no—
308#546—216no—
309#532—28no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×#127—28no—
315C2×#127C2311yescharacteristic
316C2×#127C2312yes—
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#127C2311yescharacteristic
320#529—48no—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2314yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2314yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#120C2314yes—
360#520—48no—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×D4—48no—
371C2×C4×D4—48no—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2314yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2311yescharacteristic
401C2×#117C2312yes—
402C2×#117C2314yes—
403C2×#117C2314yes—
404C2×#117C2314yes—
405C2×#117C2314yes—
406C22×C4⋊C4C2311yescharacteristic
407C22×C4⋊C4C2311yescharacteristic
408C22×C4⋊C4C2311yescharacteristic
409C22×C4⋊C4C2311yescharacteristic
410C22×C4⋊C4C2311yescharacteristic
411C22×C4⋊C4C2311yescharacteristic
412C22×C4⋊C4C2314yes—
413C22×C4⋊C4C2314yes—
414C22×C22⋊C4C2314yes—
415C22×C22⋊C4C2314yes—
416C22×C22⋊C4C2314yes—
417C22×C22⋊C4C2314yes—
418C22×C22⋊C4C2314yes—
419C22×C42C2311yescharacteristic
420C22×C42C2311yescharacteristic
421C22×C42C2312yes—
422C22×C42C2312yes—
423C22×C42C2312yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2312yes—
429#400C2312yes—
430#400C2312yes—
431#400C2312yes—
432#400C2312yes—
433#400C2314yes—
434#400C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2312yes—
440#399C2314yes—
441#398C2312yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2312yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2312yes—
450#398C2312yes—
451#398C2312yes—
452#398C2312yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2312yes—
476#396C2312yes—
477#396C2314yes—
478#396C2314yes—
479#395C2312yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#393C2314yes—
497#393C2314yes—
498#393C2314yes—
499#393C2312yes—
500#392C2314yes—
501#392C2314yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2311yescharacteristic
513#391C2312yes—
514#391C2312yes—
515#391C2311yescharacteristic
516#391C2311yescharacteristic
517#391C2312yes—
518#391C2311yescharacteristic
519#391C2311yescharacteristic
520#391C2311yescharacteristic
521#390C2312yes—
522#390C2314yes—
523#390C2314yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2314yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2314yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2314yes—
550#390C2312yes—
551#390C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2311yescharacteristic
555#389C2311yescharacteristic
556#389C2312yes—
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2311yescharacteristic
560#389C2314yes—
561#389C2312yes—
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2311yescharacteristic
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2312yes—
612#387C2312yes—
613#387C2314yes—
614#387C2314yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2314yes—
627#387C2312yes—
628#387C2314yes—
629#387C2312yes—
630#387C2314yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2312yes—
636#387C2314yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2312yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2312yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2312yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2312yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2312yes—
688#385C2312yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2312yes—
694#385C2312yes—
695#385C2314yes—
696#385C2314yes—
697#385C2312yes—
698#385C2314yes—
699#385C2312yes—
700#385C2312yes—
701#385C2312yes—
702#384C2311yescharacteristic
703#384C2311yescharacteristic
704#384C2311yescharacteristic
705#384C2311yescharacteristic
706#384C2312yes—
707#384C2312yes—
708#384C2311yescharacteristic
709#384C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2312yes—
714#382C2314yes—
715#381C2314yes—
716#381C2314yes—
717#381C2314yes—
718#381C2314yes—
719#380C2314yes—
720#380C2314yes—
721#380C2314yes—
722#380C2312yes—
723#380C2314yes—
724#380C2314yes—
725#380C2314yes—
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2314yes—
729#380C2314yes—
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2314yes—
734#380C2311yescharacteristic
735#380C2312yes—
736#380C2312yes—
737#380C2314yes—
738#380C2311yescharacteristic
739#380C2312yes—
740#380C2314yes—
741#380C2311yescharacteristic
742#379C2314yes—
743#379C2314yes—
744#379C2314yes—
745#379C2314yes—
746#379C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813#376C2312yes—
814C2×#95C2314yes—
815C2×#95C2312yes—
816C2×#95C2312yes—
817C2×#95C2314yes—
818C2×#95C2312yes—
819C43C2312yes—
820C43C2311yescharacteristic
821C25C2414yes—
822C2×#41—28no—
823C2×#41—28no—
824C2×#41—44no—
825C22×Q8C2411yescharacteristic
826C22×Q8C2411yescharacteristic
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×Q8C2412yes—
830C22×D4—28no—
831C22×D4—28no—
832C22×D4—28no—
833C22×D4—28no—
834C22×D4—28no—
835C22×D4—44no—
836C22×D4—44no—
837C22×D4—44no—
838C22×D4—82no—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C22×D4C2411yescharacteristic
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2412yes—
851C23×C4—48no—
852C23×C4—48no—
853C23×C4—48no—
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2414yes—
858C23×C4C2414yes—
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2414yes—
866C23×C4C2414yes—
867C23×C4C2412yes—
868C23×C4C2414yes—
869C23×C4C2414yes—
870C23×C4C2412yes—
871C23×C4C2411yescharacteristic
872C23×C4C2414yes—
873C23×C4C2414yes—
874C4⋊Q8—24no—
875C4⋊Q8—24no—
876C4⋊Q8—24no—
877C4⋊Q8—44no—
878#127—28no—
879#127—28no—
880#127—28no—
881#127—24no—
882#127#4118yes—
883#126—48no—
884#126—48no—
885#126—48no—
886#126—84no—
887#125—28no—
888#125—28no—
889#125—44no—
890#124—28no—
891#124—28no—
892#124—28no—
893#124—28no—
894#124—44no—
895#124—44no—
896#124—44no—
897#123—216no—
898#123—216no—
899#123—48no—
900#123—84no—
901#123—84no—
902C22⋊Q8—28no—
903C22⋊Q8—24no—
904C22⋊Q8—24no—
905C22⋊Q8—24no—
906C22⋊Q8—24no—
907C22⋊Q8—28no—
908C22⋊Q8—28no—
909C22⋊Q8—44no—
910C22⋊Q8—48no—
911C22⋊Q8—48no—
912C22⋊Q8—48no—
913C22⋊Q8—48no—
914C22⋊Q8—84no—
915#121—28no—
916#121—28no—
917#121—28no—
918#121—216no—
919#121—44no—
920#121—82no—
921#120—216no—
922C4×Q8—28no—
923C4×Q8—24no—
924C4×Q8—24no—
925C4×Q8—24no—
926C4×Q8—24no—
927C4×Q8—44no—
928C4×Q8—44no—
929C4×Q8—44no—
930C4×Q8—44no—
931C4×D4—28no—
932C4×D4—28no—
933C4×D4—28no—
934C4×D4—28no—
935C4×D4—28no—
936C4×D4—24no—
937C4×D4—28no—
938C4×D4—28no—
939C4×D4—28no—
940C4×D4—28no—
941C4×D4—28no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—48no—
950C4×D4—48no—
951C4×D4—48no—
952C4×D4—48no—
953C4×D4—48no—
954C4×D4—48no—
955C4×D4—48no—
956C4×D4—44no—
957C4×D4—42no—
958C4×D4—82no—
959C4×D4#4118yes—
960#117—44no—
961#117—48no—
962#117—48no—
963#117—48no—
964#117—84no—
965C2×C4⋊C4—24no—
966C2×C4⋊C4—24no—
967C2×C4⋊C4—24no—
968C2×C4⋊C4—24no—
969C2×C4⋊C4—24no—
970C2×C4⋊C4—24no—
971C2×C4⋊C4—48no—
972C2×C4⋊C4—48no—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C22⋊C4—216no—
1043C2×C22⋊C4—48no—
1044C2×C22⋊C4—48no—
1045C2×C22⋊C4—48no—
1046C2×C22⋊C4—84no—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2411yescharacteristic
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2411yescharacteristic
1101C2×C22⋊C4C2411yescharacteristic
1102C2×C42—24no—
1103C2×C42—24no—
1104C2×C42—44no—
1105C2×C42—44no—
1106C2×C42—44no—
1107C2×C42C2414yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2414yes—
1130C2×C42C2414yes—
1131C2×C42C2414yes—
1132C2×C42C2411yescharacteristic
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2411yescharacteristic
1139C2×C42C2412yes—
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2411yescharacteristic
1173#95C2411yescharacteristic
1174#95C2411yescharacteristic
1175#95C2411yescharacteristic
1176#95C2412yes—
1177#95C2412yes—
1178#95C2411yescharacteristic
1179#95C2411yescharacteristic
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2414yes—
1207#95C2414yes—
1208C24—28no—
1209C24—28no—
1210C24—28no—
1211C24—28no—
1212C24—44no—
1213C24—44no—
1214C24—44no—
1215C24C2514yes—
1216C24C2514yes—
1217C24C2511yescharacteristic
1218C24C2511yescharacteristic
1219#41—432no—
1220C2×Q8—22no—
1221C2×Q8—22no—
1222C2×Q8—22no—
1223C2×Q8—24no—
1224C2×Q8—24no—
1225C2×Q8—24no—
1226C2×Q8—24no—
1227C2×Q8—22no—
1228C2×Q8—22no—
1229C2×Q8—24no—
1230C2×Q8—22no—
1231C2×Q8—42no—
1232C2×Q8—42no—
1233C2×Q8—42no—
1234C2×Q8—42no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—28no—
1238C2×D4—28no—
1239C2×D4—28no—
1240C2×D4—28no—
1241C2×D4—28no—
1242C2×D4—28no—
1243C2×D4—24no—
1244C2×D4—28no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—28no—
1255C2×D4—24no—
1256C2×D4—432no—
1257C2×D4—432no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—42no—
1266C2×D4—44no—
1267C2×D4—42no—
1268C2×D4—44no—
1269C2×D4—816no—
1270C2×D4C2×#4114yes—
1271C2×D4C2×#4118yes—
1272C2×D4C2×#4118yes—
1273C2×D4C2×#4118yes—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—28no—
1281C22×C4—24no—
1282C22×C4—22no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—28no—
1287C22×C4—24no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—28no—
1291C22×C4—22no—
1292C22×C4—24no—
1293C22×C4—24no—
1294C22×C4—28no—
1295C22×C4—28no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—28no—
1299C22×C4—24no—
1300C22×C4—28no—
1301C22×C4—28no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—41no—
1307C22×C4—42no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—42no—
1311C22×C4—44no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—42no—
1321C22×C4—41no—
1322C22×C4—44no—
1323C22×C4—41no—
1324C22×C4—42no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—832no—
1332C22×C4C2×#4114yes—
1333C22×C4C2×#4114yes—
1334C22×C42−1+414yes—
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2514yes—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2511yescharacteristic
1345C22×C4C2512yes—
1346C22×C4C2511yescharacteristic
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2514yes—
1354C22×C4C2512yes—
1355C22×C4C2511yescharacteristic
1356C22×C4C2511yescharacteristic
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C22×C4C2511yescharacteristic
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C4⋊C4—22no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—28no—
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—24no—
1390C4⋊C4—28no—
1391C4⋊C4—28no—
1392C4⋊C4—24no—
1393C4⋊C4—28no—
1394C4⋊C4—22no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—24no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—44no—
1410C4⋊C4—42no—
1411C4⋊C4—44no—
1412C4⋊C4—42no—
1413C4⋊C4—41no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—44no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—44no—
1424C4⋊C4—42no—
1425C4⋊C4—44no—
1426C4⋊C4—44no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—44no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4C2×#4114yes—
1433C4⋊C4H(5,𝔽2)14yes—
1434C4⋊C4H(5,𝔽2)14yes—
1435C22⋊C4—28no—
1436C22⋊C4—28no—
1437C22⋊C4—28no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—28no—
1441C22⋊C4—28no—
1442C22⋊C4—28no—
1443C22⋊C4—22no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—22no—
1448C22⋊C4—28no—
1449C22⋊C4—28no—
1450C22⋊C4—28no—
1451C22⋊C4—28no—
1452C22⋊C4—28no—
1453C22⋊C4—28no—
1454C22⋊C4—28no—
1455C22⋊C4—28no—
1456C22⋊C4—24no—
1457C22⋊C4—22no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—42no—
1469C22⋊C4—44no—
1470C22⋊C4—42no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—41no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—42no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4C2×#4114yes—
1489C22⋊C4C2×#4114yes—
1490C42—22no—
1491C42—22no—
1492C42—22no—
1493C42—22no—
1494C42—22no—
1495C42—22no—
1496C42—24no—
1497C42—24no—
1498C42—24no—
1499C42—24no—
1500C42—24no—
1501C42—24no—
1502C42—24no—
1503C42—24no—
1504C42—28no—
1505C42—24no—
1506C42—24no—
1507C42—22no—
1508C42—22no—
1509C42—22no—
1510C42—42no—
1511C42—42no—
1512C42—42no—
1513C42—42no—
1514C42—42no—
1515C42—42no—
1516C42—44no—
1517C42—44no—
1518C42—42no—
1519C42—44no—
1520C42—42no—
1521C42—41no—
1522C42—41no—
1523C42C2×#4114yes—
1524C42C2×#4114yes—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—24no—
1530C23—21no—
1531C23—21no—
1532C23—24no—
1533C23—24no—
1534C23—21no—
1535C23—21no—
1536C23—24no—
1537C23—21no—
1538C23—24no—
1539C23—24no—
1540C23—21no—
1541C23—24no—
1542C23—24no—
1543C23—24no—
1544C23—24no—
1545C23—24no—
1546C23—24no—
1547C23—24no—
1548C23—416no—
1549C23—416no—
1550C23—416no—
1551C23—416no—
1552C23—88no—
1553C23—88no—
1554C23—88no—
1555C23C22×#4118yes—
1556C23C22×#4112yes—
1557C23C22×#4112yes—
1558C23C2×2−1+412yes—
1559C23#58512yes—
1560C23C2611yescharacteristic
1561Q8—44no—
1562Q8—48no—
1563Q8—44no—
1564Q8—84no—
1565Q8—84no—
1566D4—28no—
1567D4—216no—
1568D4—216no—
1569D4—48no—
1570D4—416no—
1571D4—416no—
1572D4—416no—
1573D4—48no—
1574D4—48no—
1575D4—84no—
1576D4—88no—
1577D4—88no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—28no—
1595C2×C4—28no—
1596C2×C4—28no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—24no—
1607C2×C4—24no—
1608C2×C4—24no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—24no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—24no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—24no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—416no—
1661C2×C4—48no—
1662C2×C4—48no—
1663C2×C4—44no—
1664C2×C4—416no—
1665C2×C4—44no—
1666C2×C4—88no—
1667C2×C4—82no—
1668C2×C4—84no—
1669C2×C4—88no—
1670C2×C4—88no—
1671C2×C4—84no—
1672C2×C4—84no—
1673C2×C4—88no—
1674C2×C4—84no—
1675C2×C4—88no—
1676C2×C4—164no—
1677C2×C4C22×#4112yes—
1678C2×C4C22×#4112yes—
1679C2×C4C22×#4112yes—
1680C2×C4C22×#4112yes—
1681C2×C4C22×#4112yes—
1682C2×C4C22×#4112yes—
1683C2×C4C22×#4112yes—
1684C2×C4C22×#4112yes—
1685C2×C4C2×H(5,𝔽2)14yes—
1686C2×C4C2×H(5,𝔽2)14yes—
1687C2×C4C2×H(5,𝔽2)12yes—
1688C2×C4C2×H(5,𝔽2)12yes—
1689C2×C4C2×2−1+412yes—
1690C2×C4C2×2−1+412yes—
1691C22—22no—
1692C22—22no—
1693C22—22no—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—28no—
1699C22—28no—
1700C22—22no—
1701C22—22no—
1702C22—28no—
1703C22—44no—
1704C22—41no—
1705C22—44no—
1706C22—41no—
1707C22—41no—
1708C22—44no—
1709C22—41no—
1710C22—44no—
1711C22—44no—
1712C22—44no—
1713C22—44no—
1714C22—44no—
1715C22—44no—
1716C22—44no—
1717C22—44no—
1718C22—832no—
1719C22#350714yes—
1720C22C23×#4111yescharacteristic
1721C22C23×#4111yescharacteristic
1722C22C22×H(5,𝔽2)11yescharacteristic
1723C22C22×H(5,𝔽2)11yescharacteristic
1724C22C22×2−1+411yescharacteristic
1725C22C2×#58511yescharacteristic
1726C22H(7,𝔽2)11yescharacteristic
1727C4—22no—
1728C4—22no—
1729C4—24no—
1730C4—24no—
1731C4—22no—
1732C4—22no—
1733C4—22no—
1734C4—22no—
1735C4—42no—
1736C4—44no—
1737C4—42no—
1738C4—42no—
1739C4—41no—
1740C4—41no—
1741C4—42no—
1742C4—42no—
1743C4—42no—
1744C4—42no—
1745C4—42no—
1746C4—42no—
1747C4—41no—
1748C4—41no—
1749C4—42no—
1750C4—42no—
1751C4—41no—
1752C4—42no—
1753C4—42no—
1754C4—44no—
1755C4—42no—
1756C4#348114yes—
1757C4#352014yes—
1758C2—24no—
1759C2—42no—
1760C2—48no—
1761C2—84no—
1762C2C2×#348111yescharacteristic
1763C2C2×#352011yescharacteristic
1764C2C2×#350711yescharacteristic
1765C2#6291711yescharacteristic
1766C2#6298611yescharacteristic
1767C2#6299011yescharacteristic
1768C2#6301211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36121C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59962C2semidirect
2. #59823C2semidirect
3. #59424C2semidirect
4. #59424C2semidirect
5. #59268C2semidirect
6. #59143C2semidirect
7. #59083C2semidirect
8. #59064C2semidirect
9. #45155C2semidirect
10. #44995C2semidirect
11. #43780C2semidirect
12. #43461C2semidirect
13. #40149C2semidirect
14. #40057C2semidirect
15. #39771C2semidirect
16. #39736C2semidirect
17. #38508C2semidirect
18. #38078C2semidirect
19. #36599C2semidirect
20. #36552C2semidirect
21. #36291C2semidirect
22. #36271C2semidirect
23. #36215C2semidirect
24. #36161C2semidirect
26. #36117C2semidirect
27. #35860C2semidirect
28. #35787C2semidirect
29. #34772C2semidirect
30. #34700C2semidirect
31. #34331C2semidirect
32. #34288C2semidirect
33. #34206C2semidirect
34. C4×#554C2semidirect
35. C2×#2366C2semidirect
37. C2×#556C22semidirect
39. C2×#554C22semidirect
43. C2×#529C22semidirect
44. C2×#520C22semidirect
47. #2860C22semidirect
52. #2854C22semidirect
55. #2796C22semidirect
56. #2786C22semidirect
57. #2786C22semidirect
58. #2782C22semidirect
59. #2781C22semidirect
60. #2761C22semidirect
61. #2751C22semidirect
62. #2750C22semidirect
63. #2743C22semidirect
64. #2740C22semidirect
65. #2740C22semidirect
66. #2732C22semidirect
68. #2708C22semidirect
69. #2696C22semidirect
70. #2694C22semidirect
71. #2694C22semidirect
72. #2693C22semidirect
73. #2691C22semidirect
74. #2681C22semidirect
75. #2681C22semidirect
76. #2649C22semidirect
77. #2640C22semidirect
78. #2636C22semidirect
79. #2620C22semidirect
80. #2609C22semidirect
81. #2601C22semidirect
82. #2601C22semidirect
83. #2601C22semidirect
84. #2595C22semidirect
85. #2592C22semidirect
86. #2592C22semidirect
87. #2590C22semidirect
88. #2585C22semidirect
89. #2580C22semidirect
90. #2579C22semidirect
92. #2568C22semidirect
93. #2566C22semidirect
94. #2564C22semidirect
95. #2560C22semidirect
96. #2560C22semidirect
97. #2560C22semidirect
98. #2553C22semidirect
99. #2552C22semidirect
100. #2552C22semidirect
103. #2547C22semidirect
104. #2546C22semidirect
105. #2545C22semidirect
109. #2542C22semidirect
110. #2538C22semidirect
111. #2538C22semidirect
112. #2538C22semidirect
113. #2522C22semidirect
114. #2520C22semidirect
115. #2516C22semidirect
116. #2513C22semidirect
117. #2512C22semidirect
118. #2512C22semidirect
119. #2512C22semidirect
120. #2512C22semidirect
121. #2511C22semidirect
122. #2511C22semidirect
123. #2511C22semidirect
124. #2509C22semidirect
125. #2508C22semidirect
126. #2507C22semidirect
131. #2501C22semidirect
132. #2498C22semidirect
133. #2497C22semidirect
134. #2492C22semidirect
135. #2490C22semidirect
136. #2488C22semidirect
138. #2485C22semidirect
139. #2481C22semidirect
140. #2481C22semidirect
145. #2479C22semidirect
146. #2477C22semidirect
147. #2471C22semidirect
148. #2468C22semidirect
149. #2467C22semidirect
150. #2466C22semidirect
151. #2466C22semidirect
152. #2463C22semidirect
153. #2457C22semidirect
154. #2454C22semidirect
155. #2454C22semidirect
156. #2454C22semidirect
157. #2453C22semidirect
158. #2452C22semidirect
160. #2450C22semidirect
161. #2449C22semidirect
162. #2448C22semidirect
163. #2448C22semidirect
164. #2447C22semidirect
165. #2447C22semidirect
166. #2447C22semidirect
167. #2447C22semidirect
168. #2447C22semidirect
169. #2446C22semidirect
182. #2432C22semidirect
186. #2427C22semidirect
187. #2425C22semidirect
188. #2420C22semidirect
189. #2420C22semidirect
190. #2419C22semidirect
194. #2417C22semidirect
195. #2415C22semidirect
199. #2402C22semidirect
200. #2396C22semidirect
201. #2395C22semidirect
202. #2392C22semidirect
203. #2370C22semidirect
204. #2370C22semidirect
205. #2369C22semidirect
207. #2368C22semidirect
208. #2367C22semidirect
209. #2367C22semidirect
210. #2367C22semidirect
211. #2367C22semidirect
212. #2367C22semidirect
223. #2365C22semidirect
224. #2365C22semidirect
225. #2361C22semidirect
226. #2361C22semidirect
229. #2360C22semidirect
230. #2359C22semidirect
231. #2359C22semidirect
233. #2355C22semidirect
234. #2355C22semidirect
235. #2355C22semidirect
236. #2354C22semidirect
237. #2354C22semidirect
238. #2354C22semidirect
239. #2352C22semidirect
240. Q8×C4⋊C4C22semidirect
242. #2349C22semidirect
243. #2349C22semidirect
245. D4×C4⋊C4C22semidirect
246. D4×C4⋊C4C22semidirect
249. #2345C22semidirect
252. #2339C22semidirect
257. #2335C22semidirect
258. #2326C22semidirect
259. #2326C22semidirect
260. #2325C22semidirect
261. #2325C22semidirect
262. #2324C22semidirect
263. #2322C22semidirect
264. #2311C22semidirect
265. C4×C4⋊Q8C22semidirect
266. C4×C4⋊Q8C22semidirect
268. C4×#125C22semidirect
269. C4×#124C22semidirect
276. C4×C22⋊Q8C22semidirect
277. C4×C22⋊Q8C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×#121C22semidirect
280. C4×#121C22semidirect
282. #2295C22semidirect
283. #2293C22semidirect
284. #2293C22semidirect
290. #2285C22semidirect
292. #2275C22semidirect
293. C42×Q8C22semidirect
298. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#599622
#598232
#594242
#592682
#591432
#590832
#590642
#451552
#449952
#437802
#434612
#401492
#400572
#397712
#397362
#385082
#380782
#365992
#365522
#362912
#362712
#362152
#361612
#361212
#361172
#358602
#357872
#347722
#347002
#343312
#342882
#342062
C4×#5542
C2×#23662