Finite Group Databasebeta

← #7680485

Subgroups — #7680485

Order 512.

5718 conjugacy classes of subgroups.

The subgroup lattice has 1804 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59953C212yesmaximal, complemented
2#59698C212yesmaximal, complemented
3#59488C212yesmaximal, complemented
4#59424C212yesmaximal, complemented
5#59420C212yesmaximal, complemented
6#59396C212yesmaximal, complemented
7#59068C212yesmaximal, complemented
8#59030C212yesmaximal, complemented
9#43870C214yesmaximal, complemented
10#43853C214yesmaximal, complemented
11#43480C214yesmaximal, complemented
12#43424C214yesmaximal, complemented
13#39736C211yesmaximal, characteristic, complemented
14#39606C211yesmaximal, characteristic, complemented
15#39054C212yesmaximal, complemented
16#39046C212yesmaximal, complemented
17#38965C211yesmaximal, characteristic, complemented
18#38957C211yesmaximal, characteristic, complemented
19#37857C212yesmaximal, complemented
20#37664C212yesmaximal, complemented
21#36469C211yesmaximal, characteristic, complemented
22#36453C211yesmaximal, characteristic, complemented
23#36161C211yesmaximal, characteristic, complemented
24D4×#121C211yesmaximal, characteristic
25#35589C212yesmaximal, complemented
26#35523C212yesmaximal, complemented
27#35302C212yesmaximal, complemented
28#35288C211yesmaximal, characteristic, complemented
29#34934C211yesmaximal, characteristic, complemented
30#34932C211yesmaximal, characteristic, complemented
31#34322C211yesmaximal, characteristic, complemented
32#34310C211yesmaximal, characteristic, complemented
33#34204C212yesmaximal, complemented
34D4×#117C211yesmaximal, characteristic, complemented
35C4×#542C211yesmaximal, characteristic, complemented
36C2×#559C2212yescomplemented
37C2×#556C2211yescharacteristic
38C2×D42C2211yescharacteristic
39C2×D42C2212yes—
40C2×#542C2211yescharacteristic
41C2×#529C2212yescomplemented
42C2×#529C2212yescomplemented
43C22×#121C2212yes—
44C2×#518C2212yescomplemented
45C22×C4×D4C2211yescharacteristic
46C22×#117C2212yescomplemented
47#2859C2211yescharacteristic, complemented
48#2858C2211yescharacteristic, complemented
49#2857C2211yescharacteristic, complemented
50#2856C2211yescharacteristic
51#2855C2212yescomplemented
52#2854C2212yescomplemented
53#2848C2212yescomplemented
54#2847C2212yes—
55#2786C2214yescomplemented
56#2783C2214yescomplemented
57#2768C2214yescomplemented
58#2768C2214yescomplemented
59#2761C2214yescomplemented
60#2761C2214yescomplemented
61#2757C2214yescomplemented
62#2748C2214yescomplemented
63#2746C2214yescomplemented
64#2740C2214yescomplemented
65#2735C2214yescomplemented
66#2706C2214yescomplemented
67#2704C2214yescomplemented
68#2701C2214yescomplemented
69#2697C2214yescomplemented
70#2697C2214yescomplemented
71#2691C2214yescomplemented
72#2691C2214yescomplemented
73#2691C2214yescomplemented
74#2686C2214yescomplemented
75#2685C2214yescomplemented
76#2685C2214yescomplemented
77#2685C2214yescomplemented
78#2672C2214yescomplemented
79#2644C2212yescomplemented
80#2629C2212yescomplemented
81#2629C2212yescomplemented
82#2624C2212yescomplemented
83#2620C2212yescomplemented
84#2620C2212yescomplemented
85#2609C2214yescomplemented
86#2609C2214yescomplemented
87#2608C2214yescomplemented
88#2603C2214yescomplemented
89#2602C2214yescomplemented
90#2601C2214yescomplemented
91#2601C2214yescomplemented
92#2600C2214yescomplemented
93#2594C2214yescomplemented
94#2592C2212yescomplemented
95#2584C2212yescomplemented
96#2579C2214yescomplemented
97#2578C2214yescomplemented
98#2576C2214yescomplemented
99#2576C2214yescomplemented
100#2576C2214yescomplemented
101#2574C2214yescomplemented
102#2566C2212yescomplemented
103#2560C2214yescomplemented
104#2557C2214yescomplemented
105#2554C2214yescomplemented
106#2553C2214yescomplemented
107#2553C2214yescomplemented
108#2552C2211yescharacteristic, complemented
109#2552C2211yescharacteristic, complemented
110#2548C2211yescharacteristic, complemented
111#2547C2211yescharacteristic, complemented
112#2544C2212yescomplemented
113#2542C2211yescharacteristic, complemented
114#2541C2211yescharacteristic
115#2538C2212yes—
116#2538C2212yescomplemented
117#2538C2211yescharacteristic, complemented
118#2537C2211yescharacteristic
119#2534C2214yescomplemented
120#2534C2214yescomplemented
121#2534C2214yescomplemented
122#2531C2214yescomplemented
123#2531C2214yescomplemented
124#2526C2214yescomplemented
125#2513C2212yescomplemented
126#2512C2212yescomplemented
127#2512C2212yescomplemented
128#2512C2212yescomplemented
129#2507C2212yescomplemented
130#2507C2212yescomplemented
131#2502C2212yescomplemented
132#2500C2212yescomplemented
133#2496C2212yescomplemented
134#2494C2212yescomplemented
135#2494C2212yescomplemented
136#2491C2212yescomplemented
137#2490C2212yescomplemented
138#2490C2212yescomplemented
139#2490C2212yescomplemented
140#2489C2212yescomplemented
141#2485C2212yescomplemented
142#2485C2214yescomplemented
143#2482C2214yescomplemented
144#2480C2214yescomplemented
145#2480C2214yescomplemented
146#2480C2214yescomplemented
147#2480C2214yescomplemented
148#2476C2214yescomplemented
149#2474C2214yescomplemented
150#2468C2214yescomplemented
151#2466C2214yescomplemented
152#2466C2214yescomplemented
153#2466C2214yescomplemented
154#2460C2214yescomplemented
155#2455C2214yescomplemented
156#2454C2212yes—
157#2454C2212yescomplemented
158#2454C2212yescomplemented
159#2448C2212yescomplemented
160#2447C2212yes—
161#2447C2212yescomplemented
162#2447C2212yescomplemented
163#2445C2212yescomplemented
164#2441C2212yescomplemented
165#2440C2212yescomplemented
166#2437C2214yescomplemented
167#2435C2212yes—
168#2435C2212yes—
169#2435C2212yes—
170#2435C2214yescomplemented
171#2435C2212yescomplemented
172#2428C2212yes—
173#2427C2214yescomplemented
174#2427C2212yescomplemented
175#2427C2212yescomplemented
176#2427C2212yescomplemented
177#2426C2212yescomplemented
178#2426C2212yescomplemented
179#2426C2212yescomplemented
180#2426C2212yescomplemented
181#2424C2214yes—
182#2423C2212yescomplemented
183#2422C2212yescomplemented
184#2422C2212yescomplemented
185#2420C2212yescomplemented
186#2420C2214yescomplemented
187#2420C2212yescomplemented
188#2420C2212yescomplemented
189#2418C2214yescomplemented
190#2417C2212yescomplemented
191#2416C2212yes—
192#2416C2212yes—
193#2415C2212yescomplemented
194#2413C2214yescomplemented
195#2411C2214yescomplemented
196#2410C2214yes—
197#2408C2212yes—
198#2405C2214yescomplemented
199#2395C2214yescomplemented
200#2392C2214yescomplemented
201#2373C2214yescomplemented
202#2367C2212yes—
203#2367C2212yescomplemented
204#2367C2212yescomplemented
205#2366C2211yescharacteristic, complemented
206#2365C2211yescharacteristic, complemented
207#2363C2214yescomplemented
208#2363C2212yescomplemented
209#2363C2214yescomplemented
210#2361C2212yescomplemented
211#2361C2212yescomplemented
212#2361C2214yescomplemented
213#2361C2214yescomplemented
214#2360C2212yescomplemented
215#2360C2212yescomplemented
216#2358C2214yescomplemented
217#2355C2211yescharacteristic, complemented
218#2354C2211yescharacteristic
219#2354C2211yescharacteristic
220#2354C2211yescharacteristic
221#2352C2212yescomplemented
222#2352C2212yescomplemented
223#2351C2212yescomplemented
224D4×C4⋊C4C2211yescharacteristic
225D4×C4⋊C4C2211yescharacteristic, complemented
226D4×C4⋊C4C2211yescharacteristic, complemented
227D4×C4⋊C4C2211yescharacteristic, complemented
228#2346C2212yescomplemented
229#2345C2212yescomplemented
230#2344C2211yescharacteristic, complemented
231#2344C2211yescharacteristic, complemented
232#2342C2214yescomplemented
233#2342C2212yescomplemented
234#2342C2212yescomplemented
235#2342C2214yescomplemented
236D4×C22⋊C4C2212yes—
237D4×C22⋊C4C2211yescharacteristic
238D4×C22⋊C4C2212yes—
239D4×C22⋊C4C2211yescharacteristic
240D4×C22⋊C4C2212yescomplemented
241D4×C22⋊C4C2214yescomplemented
242D4×C22⋊C4C2214yescomplemented
243#2337C2212yescomplemented
244#2335C2212yescomplemented
245#2334C2214yescomplemented
246#2334C2212yescomplemented
247#2332C2212yescomplemented
248#2331C2211yescharacteristic, complemented
249#2326C2211yescharacteristic, complemented
250#2324C2212yes—
251#2324C2211yescharacteristic
252#2324C2212yescomplemented
253#2324C2212yescomplemented
254#2324C2212yescomplemented
255#2323C2212yescomplemented
256#2323C2211yescharacteristic, complemented
257#2321C2214yescomplemented
258#2320C2211yescharacteristic, complemented
259#2319C2212yescomplemented
260#2319C2211yescharacteristic, complemented
261#2316C2212yescomplemented
262#2314C2211yescharacteristic, complemented
263#2309C2212yescomplemented
264C4×C4⋊Q8C2211yescharacteristic, complemented
265C4×C4⋊Q8C2211yescharacteristic, complemented
266C4×#127C2211yescharacteristic, complemented
267C4×#127C2212yescomplemented
268C4×#126C2212yescomplemented
269C4×#124C2212yes—
270C4×#124C2212yescomplemented
271C4×#124C2211yescharacteristic, complemented
272C4×C22⋊Q8C2212yescomplemented
273C4×C22⋊Q8C2212yescomplemented
274C4×C22⋊Q8C2211yescharacteristic, complemented
275C4×#123C2212yescomplemented
276C4×#121C2211yescharacteristic
277C4×#121C2212yescomplemented
278C4×#121C2212yescomplemented
279C4×#121C2212yescomplemented
280C4×#121C2212yescomplemented
281C4×#121C2212yescomplemented
282#2295C2212yescomplemented
283#2293C2211yescharacteristic
284#2293C2211yescharacteristic
285#2293C2212yescomplemented
286C2×#390C2212yes—
287#2290C2212yescomplemented
288#2290C2212yescomplemented
289#2285C2212yescomplemented
290#2285C2211yescharacteristic, complemented
291#2280C2212yescomplemented
292#2280C2212yescomplemented
293#2274C2212yescomplemented
294C42×Q8C2211yescharacteristic, complemented
295C42×D4C2211yescharacteristic, complemented
296C42×D4C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic, complemented
298C4×#117C2211yescharacteristic, complemented
299C23×D4C2312yes—
300C23×D4C2311yescharacteristic
301C23×D4C2312yes—
302C23×D4C2314yes—
303C24×C4C2312yes—
304#559—48no—
305#556—28no—
306D42—28no—
307D42—48no—
308#542—28no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×#127C2311yescharacteristic
312C2×#127C2312yes—
313#529—48no—
314#529—48no—
315C2×#126C2312yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#124C2311yescharacteristic
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#123C2312yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2314yes—
344C2×#121—216no—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2314yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2314yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2314yes—
356C2×#121C2312yes—
357C2×#121C2311yescharacteristic
358C2×#120C2314yes—
359C2×#120C2314yes—
360C2×#120C2314yes—
361#518—48no—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×D4—28no—
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2312yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2314yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2311yescharacteristic
398C2×#117—48no—
399C2×#117C2312yes—
400C2×#117C2311yescharacteristic
401C2×#117C2311yescharacteristic
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2312yes—
410C2×#117C2314yes—
411C2×#117C2314yes—
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2311yescharacteristic
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2312yes—
416C22×C4⋊C4C2312yes—
417C22×C22⋊C4C2314yes—
418C22×C22⋊C4C2312yes—
419C22×C22⋊C4C2314yes—
420C22×C22⋊C4C2312yes—
421C22×C22⋊C4C2312yes—
422C22×C22⋊C4C2314yes—
423C22×C22⋊C4C2314yes—
424C22×C42C2311yescharacteristic
425C22×C42C2312yes—
426C22×C42C2312yes—
427C22×C42C2312yes—
428#401C2314yes—
429#400C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#395C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
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#394C2314yes—
497#393C2314yes—
498#392C2314yes—
499#392C2314yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2311yescharacteristic
505#391C2311yescharacteristic
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#390C2314yes—
511#390C2312yes—
512#390C2312yes—
513#390C2314yes—
514#390C2312yes—
515#390C2312yes—
516#390C2314yes—
517#390C2312yes—
518#390C2311yescharacteristic
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2314yes—
523#390C2314yes—
524#390C2312yes—
525#390C2312yes—
526#390C2311yescharacteristic
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2314yes—
531#390C2312yes—
532#390C2314yes—
533#390C2314yes—
534#390C2312yes—
535#390C2312yes—
536#390C2311yescharacteristic
537#390C2311yescharacteristic
538#390C2311yescharacteristic
539#390C2311yescharacteristic
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2314yes—
545#389C2311yescharacteristic
546#389C2311yescharacteristic
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2314yes—
555#389C2311yescharacteristic
556#389C2312yes—
557#389C2312yes—
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2312yes—
561#389C2314yes—
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2314yes—
577#389C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2314yes—
583#388C2314yes—
584#388C2312yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2314yes—
590#388C2312yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2314yes—
629#387C2312yes—
630#387C2312yes—
631#387C2314yes—
632#387C2312yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2312yes—
643#387C2314yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2312yes—
660#386C2314yes—
661#386C2314yes—
662#386C2312yes—
663#386C2314yes—
664#386C2312yes—
665#386C2312yes—
666#386C2312yes—
667#386C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2312yes—
682#385C2314yes—
683#385C2312yes—
684#385C2312yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2314yes—
689#385C2314yes—
690#385C2312yes—
691#385C2312yes—
692#385C2312yes—
693#385C2312yes—
694#385C2314yes—
695#385C2314yes—
696#384C2311yescharacteristic
697#384C2312yes—
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#384C2312yes—
703#384C2312yes—
704#383C2312yes—
705#382C2312yes—
706#382C2311yescharacteristic
707#382C2314yes—
708#382C2312yes—
709#382C2312yes—
710#382C2314yes—
711#382C2312yes—
712#381C2314yes—
713#381C2312yes—
714#381C2312yes—
715#381C2314yes—
716#381C2314yes—
717#381C2312yes—
718#381C2314yes—
719#380C2311yescharacteristic
720#380C2311yescharacteristic
721#380C2314yes—
722#380C2314yes—
723#380C2314yes—
724#380C2312yes—
725#380C2312yes—
726#380C2314yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2311yescharacteristic
732#380C2311yescharacteristic
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2314yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2314yes—
744#380C2312yes—
745#379C2314yes—
746#379C2314yes—
747#379C2314yes—
748#379C2314yes—
749#379C2312yes—
750#379C2312yes—
751#379C2314yes—
752#379C2314yes—
753#379C2314yes—
754#379C2314yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815#376C2311yescharacteristic
816#376C2311yescharacteristic
817#376C2314yes—
818C43C2312yes—
819C43C2311yescharacteristic
820C43C2311yescharacteristic
821C25C2412yes—
822C25C2414yes—
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×D4—24no—
827C22×D4—28no—
828C22×D4—24no—
829C22×D4—216no—
830C22×D4—28no—
831C22×D4—28no—
832C22×D4—44no—
833C22×D4—42no—
834C22×D4—44no—
835C22×D4—44no—
836C22×D4—48no—
837C22×D4—84no—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C22×D4C2411yescharacteristic
845C22×D4C2411yescharacteristic
846C22×D4C2411yescharacteristic
847C22×D4C2414yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2412yes—
852C23×C4—28no—
853C23×C4—28no—
854C23×C4—44no—
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2411yescharacteristic
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2411yescharacteristic
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2414yes—
870C23×C4C2414yes—
871C23×C4C2414yes—
872C23×C4C2412yes—
873C23×C4C2414yes—
874C4⋊Q8—24no—
875C4⋊Q8—24no—
876#127—28no—
877#127—24no—
878#126—28no—
879#126—216no—
880#126—48no—
881#126—48no—
882#126—84no—
883#125—44no—
884#125—44no—
885#125—82no—
886#124—24no—
887#124—28no—
888#124—28no—
889#124—28no—
890#124—44no—
891#124—44no—
892#124—44no—
893#124—48no—
894#123—28no—
895#123—48no—
896#123—48no—
897#123—48no—
898#123—48no—
899C22⋊Q8—24no—
900C22⋊Q8—28no—
901C22⋊Q8—28no—
902C22⋊Q8—44no—
903C22⋊Q8—44no—
904C22⋊Q8—44no—
905C22⋊Q8—44no—
906C22⋊Q8—84no—
907#121—28no—
908#121—216no—
909#121—28no—
910#121—28no—
911#121—28no—
912#121—28no—
913#121—28no—
914#121—216no—
915#121—48no—
916#121—44no—
917#121—44no—
918#121—82no—
919#121#4118yes—
920#120—216no—
921#120—48no—
922#120—48no—
923C4×Q8—24no—
924C4×Q8—28no—
925C4×Q8—24no—
926C4×Q8—24no—
927C4×Q8—44no—
928C4×Q8—44no—
929C4×Q8—44no—
930C4×D4—24no—
931C4×D4—24no—
932C4×D4—24no—
933C4×D4—24no—
934C4×D4—28no—
935C4×D4—24no—
936C4×D4—28no—
937C4×D4—24no—
938C4×D4—24no—
939C4×D4—24no—
940C4×D4—28no—
941C4×D4—44no—
942C4×D4—42no—
943C4×D4—42no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—48no—
949C4×D4—44no—
950C4×D4—48no—
951C4×D4—48no—
952C4×D4—48no—
953C4×D4—48no—
954C4×D4—82no—
955C4×D4—84no—
956C4×D4—84no—
957C4×D4#4118yes—
958#117—24no—
959#117—28no—
960#117—24no—
961#117—28no—
962#117—44no—
963#117—44no—
964#117—48no—
965#117—44no—
966#117—44no—
967#117—44no—
968#117—44no—
969#117—48no—
970#117—44no—
971C2×C4⋊C4—24no—
972C2×C4⋊C4—28no—
973C2×C4⋊C4—44no—
974C2×C4⋊C4—44no—
975C2×C4⋊C4—44no—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C22⋊C4—28no—
1038C2×C22⋊C4—216no—
1039C2×C22⋊C4—44no—
1040C2×C22⋊C4—44no—
1041C2×C22⋊C4—48no—
1042C2×C22⋊C4—48no—
1043C2×C22⋊C4—84no—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C42—24no—
1115C2×C42—28no—
1116C2×C42—44no—
1117C2×C42—44no—
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2414yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2412yes—
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2412yes—
1135C2×C42C2411yescharacteristic
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2412yes—
1141C2×C42C2414yes—
1142C2×C42C2414yes—
1143C2×C42C2411yescharacteristic
1144C2×C42C2412yes—
1145C2×C42C2414yes—
1146C2×C42C2414yes—
1147C2×C42C2411yescharacteristic
1148C2×C42C2412yes—
1149C2×C42C2412yes—
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154#95C2412yes—
1155#95C2411yescharacteristic
1156#95C2411yescharacteristic
1157#95C2411yescharacteristic
1158#95C2411yescharacteristic
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2414yes—
1211#95C2414yes—
1212C24—24no—
1213C24—24no—
1214C24—24no—
1215C24—28no—
1216C24—28no—
1217C24—42no—
1218C24—42no—
1219C24—42no—
1220C24—44no—
1221C24—42no—
1222C24—44no—
1223C24—44no—
1224C24—44no—
1225C24—44no—
1226C24C2514yes—
1227C24C2512yes—
1228C24C2512yes—
1229C24C2511yescharacteristic
1230C24C2512yes—
1231C2×Q8—22no—
1232C2×Q8—22no—
1233C2×Q8—24no—
1234C2×Q8—24no—
1235C2×Q8—22no—
1236C2×Q8—24no—
1237C2×Q8—24no—
1238C2×Q8—42no—
1239C2×Q8—42no—
1240C2×D4—24no—
1241C2×D4—28no—
1242C2×D4—28no—
1243C2×D4—28no—
1244C2×D4—28no—
1245C2×D4—24no—
1246C2×D4—28no—
1247C2×D4—28no—
1248C2×D4—28no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—28no—
1252C2×D4—28no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—24no—
1264C2×D4—432no—
1265C2×D4—44no—
1266C2×D4—42no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—44no—
1272C2×D4—42no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—42no—
1278C2×D4—44no—
1279C2×D4—416no—
1280C2×D4—816no—
1281C2×D4—832no—
1282C2×D4C2×#4114yes—
1283C2×D4C2×#4114yes—
1284C2×D4C2×#4118yes—
1285C2×D4H(5,𝔽2)14yes—
1286C22×C4—22no—
1287C22×C4—24no—
1288C22×C4—22no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—24no—
1292C22×C4—24no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—22no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—22no—
1307C22×C4—24no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—28no—
1311C22×C4—24no—
1312C22×C4—24no—
1313C22×C4—28no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—432no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—42no—
1322C22×C4—42no—
1323C22×C4—42no—
1324C22×C4—44no—
1325C22×C4—42no—
1326C22×C4—44no—
1327C22×C4—42no—
1328C22×C4—42no—
1329C22×C4—44no—
1330C22×C4—42no—
1331C22×C4—41no—
1332C22×C4—44no—
1333C22×C4—41no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4C2×#4118yes—
1343C22×C4C2×#4114yes—
1344C22×C4C2511yescharacteristic
1345C22×C4C2512yes—
1346C22×C4C2511yescharacteristic
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2514yes—
1355C22×C4C2511yescharacteristic
1356C22×C4C2511yescharacteristic
1357C22×C4C2511yescharacteristic
1358C22×C4C2512yes—
1359C22×C4C2514yes—
1360C22×C4C2511yescharacteristic
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2514yes—
1364C22×C4C2512yes—
1365C22×C4C2512yes—
1366C22×C4C2511yescharacteristic
1367C22×C4C2512yes—
1368C22×C4C2512yes—
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C22×C4C2511yescharacteristic
1372C22×C4C2511yescharacteristic
1373C22×C4C2511yescharacteristic
1374C4⋊C4—24no—
1375C4⋊C4—22no—
1376C4⋊C4—28no—
1377C4⋊C4—24no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—24no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—24no—
1385C4⋊C4—28no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—24no—
1393C4⋊C4—24no—
1394C4⋊C4—22no—
1395C4⋊C4—24no—
1396C4⋊C4—22no—
1397C4⋊C4—22no—
1398C4⋊C4—24no—
1399C4⋊C4—22no—
1400C4⋊C4—24no—
1401C4⋊C4—22no—
1402C4⋊C4—24no—
1403C4⋊C4—22no—
1404C4⋊C4—44no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—42no—
1421C4⋊C4—44no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4—44no—
1425C4⋊C4—44no—
1426C4⋊C4—42no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—44no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4C2×#4114yes—
1434C4⋊C4C2×#4114yes—
1435C22⋊C4—24no—
1436C22⋊C4—28no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—28no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—28no—
1444C22⋊C4—24no—
1445C22⋊C4—28no—
1446C22⋊C4—28no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—28no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—28no—
1453C22⋊C4—28no—
1454C22⋊C4—24no—
1455C22⋊C4—28no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—22no—
1459C22⋊C4—22no—
1460C22⋊C4—24no—
1461C22⋊C4—28no—
1462C22⋊C4—44no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4—44no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—44no—
1486C22⋊C4—42no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—42no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—42no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4C2×#4118yes—
1504C22⋊C4C2×#4118yes—
1505C42—22no—
1506C42—22no—
1507C42—22no—
1508C42—22no—
1509C42—28no—
1510C42—22no—
1511C42—24no—
1512C42—24no—
1513C42—24no—
1514C42—24no—
1515C42—24no—
1516C42—22no—
1517C42—22no—
1518C42—24no—
1519C42—24no—
1520C42—24no—
1521C42—22no—
1522C42—24no—
1523C42—22no—
1524C42—22no—
1525C42—42no—
1526C42—42no—
1527C42—42no—
1528C42—42no—
1529C42—41no—
1530C42—41no—
1531C42—42no—
1532C42—44no—
1533C42—44no—
1534C42—44no—
1535C42—41no—
1536C42—42no—
1537C42—44no—
1538C42—41no—
1539C42C2×#4114yes—
1540C42H(5,𝔽2)14yes—
1541C23—22no—
1542C23—22no—
1543C23—21no—
1544C23—22no—
1545C23—22no—
1546C23—21no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—22no—
1551C23—21no—
1552C23—22no—
1553C23—21no—
1554C23—22no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—21no—
1561C23—21no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—24no—
1566C23—24no—
1567C23—24no—
1568C23—24no—
1569C23—24no—
1570C23—24no—
1571C23—24no—
1572C23—48no—
1573C23—48no—
1574C23—48no—
1575C23—416no—
1576C23—84no—
1577C23—84no—
1578C23—84no—
1579C23—88no—
1580C23—88no—
1581C23—88no—
1582C23—88no—
1583C23—84no—
1584C23—164no—
1585C23—164no—
1586C23C22×#4114yes—
1587C23C22×#4114yes—
1588C23C22×#4112yes—
1589C23C2×H(5,𝔽2)14yes—
1590C23C2611yescharacteristic
1591Q8—44no—
1592Q8—48no—
1593Q8—84no—
1594D4—28no—
1595D4—28no—
1596D4—28no—
1597D4—48no—
1598D4—416no—
1599D4—416no—
1600D4—48no—
1601D4—416no—
1602D4—48no—
1603D4—48no—
1604D4—84no—
1605D4—88no—
1606D4—88no—
1607D4—88no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—28no—
1621C2×C4—216no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—24no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—24no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—22no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—24no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—24no—
1657C2×C4—24no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—24no—
1664C2×C4—22no—
1665C2×C4—24no—
1666C2×C4—22no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—24no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—24no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—48no—
1689C2×C4—48no—
1690C2×C4—48no—
1691C2×C4—48no—
1692C2×C4—48no—
1693C2×C4—44no—
1694C2×C4—48no—
1695C2×C4—82no—
1696C2×C4—84no—
1697C2×C4—84no—
1698C2×C4—88no—
1699C2×C4—88no—
1700C2×C4—84no—
1701C2×C4—84no—
1702C2×C4—84no—
1703C2×C4—164no—
1704C2×C4—164no—
1705C2×C4C22×#4114yes—
1706C2×C4C22×#4112yes—
1707C2×C4C22×#4114yes—
1708C2×C4C22×#4112yes—
1709C2×C4C22×#4112yes—
1710C2×C4C22×#4112yes—
1711C2×C4C22×#4112yes—
1712C2×C4C2×H(5,𝔽2)12yes—
1713C2×C4C2×H(5,𝔽2)12yes—
1714C2×C4C2×H(5,𝔽2)12yes—
1715C2×C4C2×H(5,𝔽2)12yes—
1716C2×C4#58512yes—
1717C22—24no—
1718C22—24no—
1719C22—22no—
1720C22—22no—
1721C22—24no—
1722C22—24no—
1723C22—24no—
1724C22—24no—
1725C22—24no—
1726C22—22no—
1727C22—24no—
1728C22—24no—
1729C22—42no—
1730C22—42no—
1731C22—42no—
1732C22—41no—
1733C22—42no—
1734C22—41no—
1735C22—42no—
1736C22—42no—
1737C22—42no—
1738C22—41no—
1739C22—42no—
1740C22—42no—
1741C22—42no—
1742C22—41no—
1743C22—42no—
1744C22—42no—
1745C22—44no—
1746C22—44no—
1747C22—44no—
1748C22—44no—
1749C22—44no—
1750C22—44no—
1751C22—44no—
1752C22—816no—
1753C22—1616no—
1754C22C23×#4111yescharacteristic
1755C22C23×#4111yescharacteristic
1756C22C22×H(5,𝔽2)11yescharacteristic
1757C22C22×H(5,𝔽2)11yescharacteristic
1758C22C2×#58511yescharacteristic
1759C22H(7,𝔽2)11yescharacteristic
1760C222−1+611yescharacteristic
1761C4—24no—
1762C4—22no—
1763C4—22no—
1764C4—22no—
1765C4—22no—
1766C4—24no—
1767C4—41no—
1768C4—44no—
1769C4—42no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—41no—
1774C4—42no—
1775C4—44no—
1776C4—42no—
1777C4—41no—
1778C4—42no—
1779C4—41no—
1780C4—42no—
1781C4—42no—
1782C4—42no—
1783C4—42no—
1784C4—41no—
1785C4—44no—
1786C4—42no—
1787C4—42no—
1788C4—42no—
1789C4#348114yes—
1790C4#349414yes—
1791C2—44no—
1792C2—42no—
1793C2—44no—
1794C2—44no—
1795C2—84no—
1796C2C2×#348111yescharacteristic
1797C2C2×#349411yescharacteristic
1798C2#6285711yescharacteristic
1799C2#6291411yescharacteristic
1800C2#6295511yescharacteristic
1801C2#6298311yescharacteristic
1802C2#6300911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalD4×#121C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59953C2semidirect
2. #59698C2semidirect
3. #59488C2semidirect
4. #59424C2semidirect
5. #59420C2semidirect
6. #59396C2semidirect
7. #59068C2semidirect
8. #59030C2semidirect
9. #43870C2semidirect
10. #43853C2semidirect
11. #43480C2semidirect
12. #43424C2semidirect
13. #39736C2semidirect
14. #39606C2semidirect
15. #39054C2semidirect
16. #39046C2semidirect
17. #38965C2semidirect
18. #38957C2semidirect
19. #37857C2semidirect
20. #37664C2semidirect
21. #36469C2semidirect
22. #36453C2semidirect
23. #36161C2semidirect
25. #35589C2semidirect
26. #35523C2semidirect
27. #35302C2semidirect
28. #35288C2semidirect
29. #34934C2semidirect
30. #34932C2semidirect
31. #34322C2semidirect
32. #34310C2semidirect
33. #34204C2semidirect
34. D4×#117C2semidirect
35. C4×#542C2semidirect
36. C2×#559C22semidirect
41. C2×#529C22semidirect
42. C2×#529C22semidirect
44. C2×#518C22semidirect
46. C22×#117C22semidirect
47. #2859C22semidirect
48. #2858C22semidirect
49. #2857C22semidirect
51. #2855C22semidirect
52. #2854C22semidirect
53. #2848C22semidirect
55. #2786C22semidirect
56. #2783C22semidirect
57. #2768C22semidirect
58. #2768C22semidirect
59. #2761C22semidirect
60. #2761C22semidirect
61. #2757C22semidirect
62. #2748C22semidirect
63. #2746C22semidirect
64. #2740C22semidirect
65. #2735C22semidirect
66. #2706C22semidirect
67. #2704C22semidirect
68. #2701C22semidirect
69. #2697C22semidirect
70. #2697C22semidirect
71. #2691C22semidirect
72. #2691C22semidirect
73. #2691C22semidirect
74. #2686C22semidirect
75. #2685C22semidirect
76. #2685C22semidirect
77. #2685C22semidirect
78. #2672C22semidirect
79. #2644C22semidirect
80. #2629C22semidirect
81. #2629C22semidirect
82. #2624C22semidirect
83. #2620C22semidirect
84. #2620C22semidirect
85. #2609C22semidirect
86. #2609C22semidirect
87. #2608C22semidirect
88. #2603C22semidirect
89. #2602C22semidirect
90. #2601C22semidirect
91. #2601C22semidirect
92. #2600C22semidirect
93. #2594C22semidirect
94. #2592C22semidirect
95. #2584C22semidirect
96. #2579C22semidirect
97. #2578C22semidirect
98. #2576C22semidirect
99. #2576C22semidirect
100. #2576C22semidirect
101. #2574C22semidirect
102. #2566C22semidirect
103. #2560C22semidirect
104. #2557C22semidirect
105. #2554C22semidirect
106. #2553C22semidirect
107. #2553C22semidirect
108. #2552C22semidirect
109. #2552C22semidirect
110. #2548C22semidirect
111. #2547C22semidirect
112. #2544C22semidirect
113. #2542C22semidirect
116. #2538C22semidirect
117. #2538C22semidirect
119. #2534C22semidirect
120. #2534C22semidirect
121. #2534C22semidirect
122. #2531C22semidirect
123. #2531C22semidirect
124. #2526C22semidirect
125. #2513C22semidirect
126. #2512C22semidirect
127. #2512C22semidirect
128. #2512C22semidirect
129. #2507C22semidirect
130. #2507C22semidirect
131. #2502C22semidirect
132. #2500C22semidirect
133. #2496C22semidirect
134. #2494C22semidirect
135. #2494C22semidirect
136. #2491C22semidirect
137. #2490C22semidirect
138. #2490C22semidirect
139. #2490C22semidirect
140. #2489C22semidirect
141. #2485C22semidirect
142. #2485C22semidirect
143. #2482C22semidirect
144. #2480C22semidirect
145. #2480C22semidirect
146. #2480C22semidirect
147. #2480C22semidirect
148. #2476C22semidirect
149. #2474C22semidirect
150. #2468C22semidirect
151. #2466C22semidirect
152. #2466C22semidirect
153. #2466C22semidirect
154. #2460C22semidirect
155. #2455C22semidirect
157. #2454C22semidirect
158. #2454C22semidirect
159. #2448C22semidirect
161. #2447C22semidirect
162. #2447C22semidirect
163. #2445C22semidirect
164. #2441C22semidirect
165. #2440C22semidirect
166. #2437C22semidirect
170. #2435C22semidirect
171. #2435C22semidirect
173. #2427C22semidirect
174. #2427C22semidirect
175. #2427C22semidirect
176. #2427C22semidirect
177. #2426C22semidirect
178. #2426C22semidirect
179. #2426C22semidirect
180. #2426C22semidirect
182. #2423C22semidirect
183. #2422C22semidirect
184. #2422C22semidirect
185. #2420C22semidirect
186. #2420C22semidirect
187. #2420C22semidirect
188. #2420C22semidirect
189. #2418C22semidirect
190. #2417C22semidirect
193. #2415C22semidirect
194. #2413C22semidirect
195. #2411C22semidirect
198. #2405C22semidirect
199. #2395C22semidirect
200. #2392C22semidirect
201. #2373C22semidirect
203. #2367C22semidirect
204. #2367C22semidirect
205. #2366C22semidirect
206. #2365C22semidirect
207. #2363C22semidirect
208. #2363C22semidirect
209. #2363C22semidirect
210. #2361C22semidirect
211. #2361C22semidirect
212. #2361C22semidirect
213. #2361C22semidirect
214. #2360C22semidirect
215. #2360C22semidirect
216. #2358C22semidirect
217. #2355C22semidirect
221. #2352C22semidirect
222. #2352C22semidirect
223. #2351C22semidirect
225. D4×C4⋊C4C22semidirect
226. D4×C4⋊C4C22semidirect
227. D4×C4⋊C4C22semidirect
228. #2346C22semidirect
229. #2345C22semidirect
230. #2344C22semidirect
231. #2344C22semidirect
232. #2342C22semidirect
233. #2342C22semidirect
234. #2342C22semidirect
235. #2342C22semidirect
240. D4×C22⋊C4C22semidirect
241. D4×C22⋊C4C22semidirect
242. D4×C22⋊C4C22semidirect
243. #2337C22semidirect
244. #2335C22semidirect
245. #2334C22semidirect
246. #2334C22semidirect
247. #2332C22semidirect
248. #2331C22semidirect
249. #2326C22semidirect
252. #2324C22semidirect
253. #2324C22semidirect
254. #2324C22semidirect
255. #2323C22semidirect
256. #2323C22semidirect
257. #2321C22semidirect
258. #2320C22semidirect
259. #2319C22semidirect
260. #2319C22semidirect
261. #2316C22semidirect
262. #2314C22semidirect
263. #2309C22semidirect
264. C4×C4⋊Q8C22semidirect
265. C4×C4⋊Q8C22semidirect
266. C4×#127C22semidirect
267. C4×#127C22semidirect
268. C4×#126C22semidirect
270. C4×#124C22semidirect
271. C4×#124C22semidirect
272. C4×C22⋊Q8C22semidirect
273. C4×C22⋊Q8C22semidirect
274. C4×C22⋊Q8C22semidirect
275. C4×#123C22semidirect
277. C4×#121C22semidirect
278. C4×#121C22semidirect
279. C4×#121C22semidirect
280. C4×#121C22semidirect
281. C4×#121C22semidirect
282. #2295C22semidirect
285. #2293C22semidirect
287. #2290C22semidirect
288. #2290C22semidirect
289. #2285C22semidirect
290. #2285C22semidirect
291. #2280C22semidirect
292. #2280C22semidirect
293. #2274C22semidirect
294. C42×Q8C22semidirect
295. C42×D4C22semidirect
296. C42×D4C22semidirect
297. C42×D4C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#599532
#596982
#594882
#594242
#594202
#593962
#590682
#590302
#438702
#438532
#434802
#434242
#397362
#396062
#390542
#390462
#389652
#389572
#378572
#376642
#364692
#364532
#361612
D4×#1212
#355892
#355232
#353022
#352882
#349342
#349322
#343222
#343102
#342042
D4×#1172
C4×#5422