Finite Group Databasebeta

← #7692195

Subgroups — #7692195

Order 512.

5901 conjugacy classes of subgroups.

The subgroup lattice has 1842 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59647C211yesmaximal, characteristic, complemented
2#59599C214yesmaximal, complemented
3#59484C212yesmaximal, complemented
4#59230C211yesmaximal, characteristic, complemented
5#59220C211yesmaximal, characteristic, complemented
6#59041C212yesmaximal, complemented
7#59030C212yesmaximal, complemented
8#59028C212yesmaximal, complemented
9#45373C212yesmaximal, complemented
10#45188C212yesmaximal, complemented
11#44245C214yesmaximal, complemented
12#44236C214yesmaximal, complemented
13#40171C212yesmaximal, complemented
14#40046C212yesmaximal, complemented
15#38967C211yesmaximal, characteristic, complemented
16#38910C211yesmaximal, characteristic, complemented
17#38549C214yesmaximal, complemented
18#37858C212yesmaximal, complemented
19#36495C212yesmaximal, complemented
20#36460C211yesmaximal, characteristic, complemented
21#36426C212yesmaximal, complemented
22#36291C212yesmaximal, complemented
23#36211C211yesmaximal, characteristic, complemented
24#36126C211yesmaximal, characteristic, complemented
25#36114C211yesmaximal, characteristic, complemented
26D4×#121C211yesmaximal, characteristic, complemented
27#35978C212yesmaximal, complemented
28#35730C212yesmaximal, complemented
29#34889C212yesmaximal, complemented
30#34700C211yesmaximal, characteristic, complemented
31#34310C211yesmaximal, characteristic, complemented
32#34243C211yesmaximal, characteristic, complemented
33#34204C212yesmaximal, complemented
34C4×#553C211yesmaximal, characteristic, complemented
35D4×#117C211yesmaximal, characteristic, complemented
36C2×#553C2211yescharacteristic
37C2×#547C2212yescomplemented
38C2×D42C2211yescharacteristic
39C2×D42C2212yes—
40C2×#532C2212yescomplemented
41C2×#529C2211yescharacteristic
42C2×#529C2212yescomplemented
43C22×#121C2212yes—
44C2×#518C2212yescomplemented
45C22×C4×D4C2211yescharacteristic
46C22×#117C2212yescomplemented
47#2860C2212yescomplemented
48#2859C2211yescharacteristic, complemented
49#2856C2211yescharacteristic
50#2856C2211yescharacteristic, complemented
51#2854C2212yescomplemented
52#2853C2214yescomplemented
53#2851C2212yescomplemented
54#2847C2212yes—
55#2797C2214yescomplemented
56#2788C2214yescomplemented
57#2786C2214yescomplemented
58#2784C2214yescomplemented
59#2782C2214yescomplemented
60#2780C2214yescomplemented
61#2772C2214yescomplemented
62#2751C2214yescomplemented
63#2750C2214yescomplemented
64#2743C2214yescomplemented
65#2742C2214yescomplemented
66#2737C2214yescomplemented
67#2736C2214yescomplemented
68#2701C2214yescomplemented
69#2691C2214yescomplemented
70#2688C2214yescomplemented
71#2685C2214yescomplemented
72#2685C2214yescomplemented
73#2684C2214yescomplemented
74#2684C2214yescomplemented
75#2678C2214yescomplemented
76#2654C2214yescomplemented
77#2638C2214yescomplemented
78#2628C2212yescomplemented
79#2624C2212yescomplemented
80#2600C2214yescomplemented
81#2598C2214yescomplemented
82#2595C2214yescomplemented
83#2578C2214yescomplemented
84#2578C2214yescomplemented
85#2574C2214yescomplemented
86#2572C2214yescomplemented
87#2571C2211yescharacteristic, complemented
88#2563C2212yes—
89#2563C2212yescomplemented
90#2563C2212yescomplemented
91#2561C2214yescomplemented
92#2559C2214yescomplemented
93#2559C2214yescomplemented
94#2559C2214yescomplemented
95#2557C2214yescomplemented
96#2551C2211yescharacteristic, complemented
97#2550C2212yescomplemented
98#2548C2211yescharacteristic, complemented
99#2544C2212yescomplemented
100#2541C2211yescharacteristic
101#2540C2212yescomplemented
102#2538C2211yescharacteristic, complemented
103#2537C2211yescharacteristic
104#2535C2214yescomplemented
105#2535C2212yescomplemented
106#2535C2212yescomplemented
107#2535C2212yescomplemented
108#2534C2214yescomplemented
109#2526C2214yescomplemented
110#2521C2214yescomplemented
111#2516C2214yescomplemented
112#2516C2214yescomplemented
113#2515C2214yescomplemented
114#2513C2212yescomplemented
115#2513C2212yescomplemented
116#2513C2212yescomplemented
117#2512C2212yescomplemented
118#2509C2212yescomplemented
119#2508C2212yescomplemented
120#2504C2212yescomplemented
121#2500C2212yescomplemented
122#2496C2212yescomplemented
123#2495C2212yescomplemented
124#2495C2212yescomplemented
125#2492C2212yescomplemented
126#2491C2212yescomplemented
127#2490C2212yescomplemented
128#2490C2212yescomplemented
129#2490C2212yescomplemented
130#2490C2212yescomplemented
131#2487C2212yescomplemented
132#2487C2212yescomplemented
133#2480C2214yescomplemented
134#2480C2214yescomplemented
135#2480C2212yescomplemented
136#2477C2214yescomplemented
137#2477C2214yescomplemented
138#2476C2214yescomplemented
139#2471C2214yescomplemented
140#2471C2214yescomplemented
141#2470C2214yescomplemented
142#2468C2212yescomplemented
143#2467C2214yescomplemented
144#2467C2214yescomplemented
145#2466C2214yescomplemented
146#2466C2214yescomplemented
147#2464C2214yescomplemented
148#2461C2214yescomplemented
149#2457C2214yescomplemented
150#2457C2212yescomplemented
151#2457C2214yescomplemented
152#2454C2212yes—
153#2454C2211yescharacteristic, complemented
154#2452C2212yescomplemented
155#2447C2211yescharacteristic
156#2447C2212yescomplemented
157#2445C2212yescomplemented
158#2442C2212yescomplemented
159#2442C2211yescharacteristic, complemented
160#2439C2212yescomplemented
161#2439C2212yescomplemented
162#2435C2212yes—
163#2435C2211yescharacteristic
164#2430C2214yescomplemented
165#2428C2212yes—
166#2427C2211yescharacteristic, complemented
167#2426C2212yescomplemented
168#2424C2214yes—
169#2422C2212yescomplemented
170#2421C2212yescomplemented
171#2420C2211yescharacteristic
172#2420C2212yescomplemented
173#2420C2212yescomplemented
174#2420C2212yescomplemented
175#2420C2212yescomplemented
176#2420C2214yescomplemented
177#2420C2212yescomplemented
178#2418C2212yescomplemented
179#2418C2214yescomplemented
180#2418C2214yescomplemented
181#2417C2212yescomplemented
182#2417C2211yescharacteristic, complemented
183#2416C2212yes—
184#2416C2212yes—
185#2416C2212yescomplemented
186#2414C2212yescomplemented
187#2414C2212yescomplemented
188#2414C2212yescomplemented
189#2411C2214yescomplemented
190#2410C2214yes—
191#2408C2212yes—
192#2408C2211yescharacteristic
193#2408C2212yes—
194#2408C2212yescomplemented
195#2408C2214yescomplemented
196#2405C2214yescomplemented
197#2404C2214yescomplemented
198#2404C2214yescomplemented
199#2395C2214yescomplemented
200#2395C2212yescomplemented
201#2392C2212yescomplemented
202#2388C2214yescomplemented
203#2374C2212yescomplemented
204#2373C2212yescomplemented
205#2370C2211yescharacteristic, complemented
206#2370C2212yescomplemented
207#2367C2212yes—
208#2366C2211yescharacteristic, complemented
209#2366C2212yescomplemented
210#2364C2212yescomplemented
211#2363C2212yes—
212#2363C2211yescharacteristic
213#2363C2212yescomplemented
214#2363C2212yescomplemented
215#2363C2212yescomplemented
216#2363C2212yescomplemented
217#2361C2212yescomplemented
218#2361C2212yescomplemented
219#2361C2212yescomplemented
220#2361C2212yescomplemented
221#2361C2212yescomplemented
222#2361C2212yescomplemented
223#2361C2211yescharacteristic, complemented
224#2359C2214yescomplemented
225#2358C2214yescomplemented
226#2358C2214yescomplemented
227#2357C2212yescomplemented
228#2357C2212yescomplemented
229#2357C2211yescharacteristic, complemented
230#2355C2211yescharacteristic, complemented
231#2354C2211yescharacteristic
232#2354C2211yescharacteristic
233#2353C2212yescomplemented
234#2352C2212yescomplemented
235#2352C2212yescomplemented
236#2352C2211yescharacteristic, complemented
237#2352C2212yescomplemented
238Q8×C4⋊C4C2211yescharacteristic, complemented
239D4×C4⋊C4C2211yescharacteristic
240D4×C4⋊C4C2211yescharacteristic, complemented
241D4×C4⋊C4C2211yescharacteristic, complemented
242D4×C4⋊C4C2212yescomplemented
243D4×C4⋊C4C2211yescharacteristic, complemented
244#2347C2211yescharacteristic, complemented
245#2345C2211yescharacteristic, complemented
246#2345C2212yescomplemented
247#2344C2212yescomplemented
248#2344C2212yescomplemented
249#2342C2214yescomplemented
250#2342C2214yescomplemented
251#2342C2214yescomplemented
252D4×C22⋊C4C2212yes—
253D4×C22⋊C4C2212yes—
254D4×C22⋊C4C2212yes—
255D4×C22⋊C4C2212yescomplemented
256D4×C22⋊C4C2214yescomplemented
257D4×C22⋊C4C2214yescomplemented
258#2334C2214yescomplemented
259#2324C2212yescomplemented
260#2324C2214yescomplemented
261#2324C2214yescomplemented
262#2321C2214yescomplemented
263#2316C2212yescomplemented
264#2314C2212yescomplemented
265#2309C2212yescomplemented
266C4×#127C2211yescharacteristic, complemented
267C4×#125C2211yescharacteristic, complemented
268C4×#126C2212yescomplemented
269C4×#124C2211yescharacteristic, complemented
270C4×#124C2212yescomplemented
271C4×C22⋊Q8C2212yescomplemented
272C4×C22⋊Q8C2211yescharacteristic, complemented
273C4×#123C2212yescomplemented
274C4×#121C2211yescharacteristic
275C4×#121C2212yes—
276C4×#121C2212yescomplemented
277C4×#121C2211yescharacteristic, complemented
278C4×#121C2214yescomplemented
279C4×#121C2211yescharacteristic, complemented
280C4×#121C2212yescomplemented
281C4×#121C2214yescomplemented
282C4×#120C2212yescomplemented
283#2297C2214yescomplemented
284#2293C2211yescharacteristic
285#2293C2212yes—
286C2×#390C2212yes—
287#2290C2214yescomplemented
288#2285C2211yescharacteristic, complemented
289#2285C2211yescharacteristic, complemented
290#2280C2212yescomplemented
291#2280C2212yescomplemented
292#2274C2212yescomplemented
293C42×D4C2211yescharacteristic, complemented
294C42×D4C2212yescomplemented
295C42×D4C2212yescomplemented
296C42×D4C2211yescharacteristic, complemented
297C4×#117C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41C2314yes—
300C23×D4C2312yes—
301C23×D4C2311yescharacteristic
302C23×D4C2312yes—
303C23×D4C2314yes—
304C24×C4C2312yes—
305#553—28no—
306#547—48no—
307D42—28no—
308D42—48no—
309#532—48no—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×#127C2311yescharacteristic
313C2×#127C2312yes—
314#529—28no—
315#529—48no—
316C2×#126C2312yes—
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#125C2311yescharacteristic
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#124C2311yescharacteristic
324C2×#124C2311yescharacteristic
325C2×#124C2314yes—
326C2×#124C2312yes—
327C2×#123C2312yes—
328C2×#123C2312yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×#121—216no—
337C2×#121C2314yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2311yescharacteristic
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2311yescharacteristic
347C2×#121C2311yescharacteristic
348C2×#121C2314yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2314yes—
355C2×#121C2314yes—
356C2×#121C2312yes—
357C2×#121C2311yescharacteristic
358C2×#120C2314yes—
359C2×#120C2314yes—
360C2×#120C2314yes—
361C2×#120C2312yes—
362C2×#120C2314yes—
363#518—48no—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2312yes—
366C2×C4×D4—28no—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2312yes—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2311yescharacteristic
401C2×#117—48no—
402C2×#117C2312yes—
403C2×#117C2311yescharacteristic
404C2×#117C2312yes—
405C2×#117C2311yescharacteristic
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2314yes—
409C2×#117C2314yes—
410C2×#117C2314yes—
411C2×#117C2312yes—
412C2×#117C2312yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2311yescharacteristic
415C22×C4⋊C4C2312yes—
416C22×C4⋊C4C2311yescharacteristic
417C22×C4⋊C4C2311yescharacteristic
418C22×C4⋊C4C2312yes—
419C22×C4⋊C4C2312yes—
420C22×C22⋊C4C2314yes—
421C22×C22⋊C4C2312yes—
422C22×C22⋊C4C2314yes—
423C22×C22⋊C4C2314yes—
424C22×C22⋊C4C2314yes—
425C22×C22⋊C4C2314yes—
426C22×C42C2311yescharacteristic
427C22×C42C2311yescharacteristic
428C22×C42C2312yes—
429C22×C42C2314yes—
430C22×C42C2312yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2312yes—
437#400C2314yes—
438#400C2314yes—
439#399C2314yes—
440#399C2314yes—
441#399C2314yes—
442#399C2312yes—
443#398C2314yes—
444#398C2312yes—
445#398C2312yes—
446#398C2314yes—
447#397C2312yes—
448#397C2314yes—
449#397C2312yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2312yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#396C2314yes—
465#396C2312yes—
466#396C2312yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#395C2314yes—
473#395C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2312yes—
483#394C2314yes—
484#394C2314yes—
485#394C2312yes—
486#394C2312yes—
487#394C2312yes—
488#394C2314yes—
489#394C2312yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#393C2314yes—
497#393C2314yes—
498#393C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2312yes—
507#392C2314yes—
508#392C2314yes—
509#391C2314yes—
510#391C2312yes—
511#391C2311yescharacteristic
512#391C2311yescharacteristic
513#391C2314yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2311yescharacteristic
518#390C2312yes—
519#390C2311yescharacteristic
520#390C2312yes—
521#390C2314yes—
522#390C2311yescharacteristic
523#390C2314yes—
524#390C2314yes—
525#390C2312yes—
526#390C2312yes—
527#390C2314yes—
528#390C2312yes—
529#390C2314yes—
530#390C2314yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2314yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2314yes—
544#390C2311yescharacteristic
545#390C2311yescharacteristic
546#390C2314yes—
547#390C2314yes—
548#390C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2314yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2314yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2312yes—
613#388C2314yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2314yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2312yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2312yes—
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#386C2312yes—
660#386C2312yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2312yes—
667#386C2312yes—
668#386C2312yes—
669#386C2314yes—
670#386C2314yes—
671#386C2312yes—
672#386C2312yes—
673#386C2312yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2312yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2312yes—
690#385C2312yes—
691#385C2312yes—
692#385C2312yes—
693#384C2311yescharacteristic
694#384C2312yes—
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#383C2312yes—
698#383C2314yes—
699#382C2311yescharacteristic
700#382C2312yes—
701#382C2312yes—
702#382C2312yes—
703#382C2314yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2311yescharacteristic
708#381C2314yes—
709#381C2314yes—
710#381C2312yes—
711#381C2314yes—
712#381C2312yes—
713#381C2314yes—
714#381C2312yes—
715#381C2314yes—
716#380C2314yes—
717#380C2314yes—
718#380C2311yescharacteristic
719#380C2314yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2314yes—
724#380C2312yes—
725#380C2312yes—
726#380C2314yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2311yescharacteristic
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2311yescharacteristic
735#380C2311yescharacteristic
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#379C2314yes—
744#379C2314yes—
745#379C2314yes—
746#379C2314yes—
747#379C2314yes—
748#379C2314yes—
749#379C2312yes—
750#379C2312yes—
751#379C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2311yescharacteristic
817#376C2312yes—
818C2×#95C2312yes—
819C43C2312yes—
820C43C2311yescharacteristic
821C25C2412yes—
822C25C2414yes—
823C2×#41—48no—
824C2×#41—48no—
825C2×#41—48no—
826C22×Q8C2411yescharacteristic
827C22×Q8C2414yes—
828C22×D4—24no—
829C22×D4—28no—
830C22×D4—24no—
831C22×D4—216no—
832C22×D4—28no—
833C22×D4—28no—
834C22×D4—44no—
835C22×D4—42no—
836C22×D4—44no—
837C22×D4—44no—
838C22×D4—48no—
839C22×D4—84no—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2411yescharacteristic
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2412yes—
850C22×D4C2411yescharacteristic
851C22×D4C2411yescharacteristic
852C22×D4C2411yescharacteristic
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2412yes—
859C23×C4—28no—
860C23×C4—28no—
861C23×C4—44no—
862C23×C4C2411yescharacteristic
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2412yes—
866C23×C4C2411yescharacteristic
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2414yes—
870C23×C4C2412yes—
871C23×C4C2411yescharacteristic
872C23×C4C2412yes—
873C23×C4C2412yes—
874C23×C4C2411yescharacteristic
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2411yescharacteristic
878C23×C4C2414yes—
879C23×C4C2414yes—
880C23×C4C2412yes—
881C23×C4C2414yes—
882C23×C4C2414yes—
883C23×C4C2414yes—
884C4⋊Q8—44no—
885C4⋊Q8—44no—
886#127—28no—
887#127—24no—
888#126—28no—
889#126—28no—
890#126—48no—
891#126—84no—
892#125—24no—
893#125—24no—
894#125—44no—
895#124—24no—
896#124—24no—
897#124—44no—
898#124—48no—
899#123—28no—
900#123—28no—
901#123—48no—
902#123—48no—
903#123—48no—
904C22⋊Q8—24no—
905C22⋊Q8—48no—
906C22⋊Q8—42no—
907C22⋊Q8—44no—
908#121—28no—
909#121—216no—
910#121—24no—
911#121—28no—
912#121—24no—
913#121—28no—
914#121—24no—
915#121—28no—
916#121—28no—
917#121—28no—
918#121—28no—
919#121—216no—
920#121—48no—
921#121—48no—
922#121—44no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—44no—
927#121—82no—
928#121#4118yescomplemented
929#120—216no—
930#120—48no—
931#120—44no—
932#120—48no—
933#120—48no—
934C4×Q8—24no—
935C4×Q8—44no—
936C4×D4—24no—
937C4×D4—24no—
938C4×D4—28no—
939C4×D4—28no—
940C4×D4—28no—
941C4×D4—24no—
942C4×D4—24no—
943C4×D4—24no—
944C4×D4—28no—
945C4×D4—28no—
946C4×D4—28no—
947C4×D4—24no—
948C4×D4—24no—
949C4×D4—48no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—42no—
957C4×D4—44no—
958C4×D4—48no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—42no—
962C4×D4—44no—
963C4×D4—48no—
964C4×D4—48no—
965C4×D4—84no—
966C4×D4—82no—
967C4×D4—84no—
968C4×D4—84no—
969C4×D4#4118yescomplemented
970#117—28no—
971#117—24no—
972#117—24no—
973#117—28no—
974#117—44no—
975#117—48no—
976#117—48no—
977#117—48no—
978#117—44no—
979#117—44no—
980#117—82no—
981C2×C4⋊C4—24no—
982C2×C4⋊C4—28no—
983C2×C4⋊C4—24no—
984C2×C4⋊C4—28no—
985C2×C4⋊C4—24no—
986C2×C4⋊C4—44no—
987C2×C4⋊C4—44no—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C22⋊C4—28no—
1043C2×C22⋊C4—216no—
1044C2×C22⋊C4—48no—
1045C2×C22⋊C4—48no—
1046C2×C22⋊C4—48no—
1047C2×C22⋊C4—84no—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2411yescharacteristic
1099C2×C22⋊C4C2411yescharacteristic
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C42—24no—
1123C2×C42—24no—
1124C2×C42—48no—
1125C2×C42—44no—
1126C2×C42—44no—
1127C2×C42C2412yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2414yes—
1130C2×C42C2411yescharacteristic
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2411yescharacteristic
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2411yescharacteristic
1138C2×C42C2412yes—
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2412yes—
1146C2×C42C2414yes—
1147C2×C42C2414yes—
1148C2×C42C2414yes—
1149C2×C42C2414yes—
1150C2×C42C2411yescharacteristic
1151C2×C42C2412yes—
1152C2×C42C2414yes—
1153C2×C42C2412yes—
1154C2×C42C2411yescharacteristic
1155C2×C42C2412yes—
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158C2×C42C2411yescharacteristic
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2411yescharacteristic
1167#95C2411yescharacteristic
1168#95C2411yescharacteristic
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2411yescharacteristic
1179#95C2412yes—
1180#95C2411yescharacteristic
1181#95C2412yes—
1182#95C2411yescharacteristic
1183#95C2412yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2412yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2414yes—
1207#95C2412yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217C24—24no—
1218C24—24no—
1219C24—24no—
1220C24—28no—
1221C24—28no—
1222C24—42no—
1223C24—42no—
1224C24—42no—
1225C24—44no—
1226C24—42no—
1227C24—44no—
1228C24—44no—
1229C24—44no—
1230C24—44no—
1231C24C2514yes—
1232C24C2512yes—
1233C24C2512yes—
1234C24C2511yescharacteristic
1235C24C2512yes—
1236C24C2511yescharacteristic
1237#41—832no—
1238C2×Q8—22no—
1239C2×Q8—22no—
1240C2×Q8—22no—
1241C2×Q8—44no—
1242C2×Q8—44no—
1243C2×Q8—44no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—22no—
1247C2×D4—24no—
1248C2×D4—28no—
1249C2×D4—28no—
1250C2×D4—28no—
1251C2×D4—28no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—22no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—28no—
1259C2×D4—28no—
1260C2×D4—28no—
1261C2×D4—28no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—28no—
1265C2×D4—28no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—24no—
1277C2×D4—432no—
1278C2×D4—44no—
1279C2×D4—42no—
1280C2×D4—41no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—42no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—416no—
1299C2×D4—816no—
1300C2×D4—832no—
1301C2×D4C2×#4114yes—
1302C2×D4C2×#4114yes—
1303C2×D4C2×#4118yes—
1304C2×D4H(5,𝔽2)14yes—
1305C22×C4—22no—
1306C22×C4—24no—
1307C22×C4—22no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—24no—
1311C22×C4—28no—
1312C22×C4—22no—
1313C22×C4—24no—
1314C22×C4—24no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—24no—
1320C22×C4—24no—
1321C22×C4—22no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—24no—
1325C22×C4—24no—
1326C22×C4—24no—
1327C22×C4—22no—
1328C22×C4—28no—
1329C22×C4—24no—
1330C22×C4—24no—
1331C22×C4—22no—
1332C22×C4—24no—
1333C22×C4—22no—
1334C22×C4—24no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—28no—
1339C22×C4—24no—
1340C22×C4—24no—
1341C22×C4—28no—
1342C22×C4—42no—
1343C22×C4—42no—
1344C22×C4—42no—
1345C22×C4—42no—
1346C22×C4—41no—
1347C22×C4—44no—
1348C22×C4—432no—
1349C22×C4—44no—
1350C22×C4—42no—
1351C22×C4—42no—
1352C22×C4—42no—
1353C22×C4—42no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—41no—
1357C22×C4—42no—
1358C22×C4—44no—
1359C22×C4—42no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—41no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4—44no—
1366C22×C4—44no—
1367C22×C4—44no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4C2×#4118yes—
1371C22×C4C2×#4114yes—
1372C22×C4C2512yes—
1373C22×C4C2511yescharacteristic
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C22×C4C2512yes—
1377C22×C4C2512yes—
1378C22×C4C2512yes—
1379C22×C4C2512yes—
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C22×C4C2514yes—
1383C22×C4C2512yes—
1384C22×C4C2514yes—
1385C22×C4C2511yescharacteristic
1386C22×C4C2512yes—
1387C22×C4C2511yescharacteristic
1388C22×C4C2512yes—
1389C22×C4C2512yes—
1390C22×C4C2511yescharacteristic
1391C22×C4C2514yes—
1392C22×C4C2512yes—
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2511yescharacteristic
1400C22×C4C2511yescharacteristic
1401C4⋊C4—22no—
1402C4⋊C4—24no—
1403C4⋊C4—22no—
1404C4⋊C4—28no—
1405C4⋊C4—24no—
1406C4⋊C4—24no—
1407C4⋊C4—22no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—22no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—24no—
1418C4⋊C4—28no—
1419C4⋊C4—22no—
1420C4⋊C4—24no—
1421C4⋊C4—22no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—22no—
1425C4⋊C4—24no—
1426C4⋊C4—22no—
1427C4⋊C4—24no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—41no—
1437C4⋊C4—42no—
1438C4⋊C4—41no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C4⋊C4—44no—
1442C4⋊C4—42no—
1443C4⋊C4—44no—
1444C4⋊C4—42no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—44no—
1451C4⋊C4—42no—
1452C4⋊C4C2×#4114yes—
1453C4⋊C4C2×#4114yes—
1454C4⋊C4H(5,𝔽2)14yes—
1455C22⋊C4—24no—
1456C22⋊C4—28no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—22no—
1462C22⋊C4—24no—
1463C22⋊C4—24no—
1464C22⋊C4—24no—
1465C22⋊C4—28no—
1466C22⋊C4—28no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—22no—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—28no—
1473C22⋊C4—28no—
1474C22⋊C4—22no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—28no—
1478C22⋊C4—28no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—28no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—42no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—41no—
1498C22⋊C4—41no—
1499C22⋊C4—42no—
1500C22⋊C4—41no—
1501C22⋊C4—42no—
1502C22⋊C4—44no—
1503C22⋊C4—42no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—44no—
1513C22⋊C4—42no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—42no—
1517C22⋊C4—44no—
1518C22⋊C4—42no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—42no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4C2×#4118yes—
1528C22⋊C4C2×#4118yes—
1529C42—22no—
1530C42—22no—
1531C42—22no—
1532C42—22no—
1533C42—22no—
1534C42—22no—
1535C42—24no—
1536C42—24no—
1537C42—22no—
1538C42—24no—
1539C42—24no—
1540C42—22no—
1541C42—28no—
1542C42—24no—
1543C42—22no—
1544C42—24no—
1545C42—22no—
1546C42—24no—
1547C42—44no—
1548C42—44no—
1549C42—42no—
1550C42—42no—
1551C42—42no—
1552C42—42no—
1553C42—44no—
1554C42—44no—
1555C42—41no—
1556C42—42no—
1557C42—44no—
1558C42—41no—
1559C42—42no—
1560C42C2×#4114yes—
1561C23—21no—
1562C23—22no—
1563C23—21no—
1564C23—22no—
1565C23—21no—
1566C23—22no—
1567C23—22no—
1568C23—21no—
1569C23—22no—
1570C23—22no—
1571C23—22no—
1572C23—21no—
1573C23—21no—
1574C23—22no—
1575C23—22no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—21no—
1587C23—22no—
1588C23—22no—
1589C23—22no—
1590C23—21no—
1591C23—24no—
1592C23—24no—
1593C23—24no—
1594C23—24no—
1595C23—24no—
1596C23—24no—
1597C23—24no—
1598C23—48no—
1599C23—48no—
1600C23—48no—
1601C23—416no—
1602C23—84no—
1603C23—84no—
1604C23—84no—
1605C23—88no—
1606C23—88no—
1607C23—88no—
1608C23—88no—
1609C23—84no—
1610C23—164no—
1611C23—164no—
1612C23C22×#4114yes—
1613C23C22×#4114yes—
1614C23C22×#4112yes—
1615C23C2×H(5,𝔽2)14yes—
1616C23#58512yes—
1617C23C2611yescharacteristic
1618Q8—44no—
1619Q8—88no—
1620D4—28no—
1621D4—28no—
1622D4—28no—
1623D4—48no—
1624D4—416no—
1625D4—416no—
1626D4—48no—
1627D4—44no—
1628D4—48no—
1629D4—48no—
1630D4—416no—
1631D4—48no—
1632D4—48no—
1633D4—48no—
1634D4—84no—
1635D4—88no—
1636D4—88no—
1637D4—88no—
1638D4—88no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—28no—
1650C2×C4—216no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—24no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—24no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—24no—
1681C2×C4—24no—
1682C2×C4—24no—
1683C2×C4—22no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—21no—
1698C2×C4—22no—
1699C2×C4—21no—
1700C2×C4—24no—
1701C2×C4—24no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—24no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—24no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—48no—
1718C2×C4—44no—
1719C2×C4—48no—
1720C2×C4—48no—
1721C2×C4—416no—
1722C2×C4—48no—
1723C2×C4—44no—
1724C2×C4—48no—
1725C2×C4—44no—
1726C2×C4—44no—
1727C2×C4—48no—
1728C2×C4—84no—
1729C2×C4—82no—
1730C2×C4—84no—
1731C2×C4—88no—
1732C2×C4—88no—
1733C2×C4—84no—
1734C2×C4—88no—
1735C2×C4—164no—
1736C2×C4—164no—
1737C2×C4C22×#4112yes—
1738C2×C4C22×#4112yes—
1739C2×C4C22×#4114yes—
1740C2×C4C22×#4114yes—
1741C2×C4C22×#4112yes—
1742C2×C4C22×#4112yes—
1743C2×C4C22×#4112yes—
1744C2×C4C2×H(5,𝔽2)14yes—
1745C2×C4C2×H(5,𝔽2)12yes—
1746C2×C4C2×H(5,𝔽2)12yes—
1747C2×C4#58512yes—
1748C22—24no—
1749C22—24no—
1750C22—22no—
1751C22—22no—
1752C22—24no—
1753C22—22no—
1754C22—24no—
1755C22—24no—
1756C22—24no—
1757C22—22no—
1758C22—22no—
1759C22—24no—
1760C22—22no—
1761C22—24no—
1762C22—24no—
1763C22—41no—
1764C22—42no—
1765C22—41no—
1766C22—42no—
1767C22—42no—
1768C22—42no—
1769C22—41no—
1770C22—42no—
1771C22—41no—
1772C22—41no—
1773C22—42no—
1774C22—42no—
1775C22—42no—
1776C22—42no—
1777C22—42no—
1778C22—41no—
1779C22—41no—
1780C22—42no—
1781C22—42no—
1782C22—41no—
1783C22—44no—
1784C22—44no—
1785C22—44no—
1786C22—44no—
1787C22—44no—
1788C22—44no—
1789C22—44no—
1790C22—816no—
1791C22—1616no—
1792C22C23×#4111yescharacteristic
1793C22C23×#4111yescharacteristic
1794C22C22×H(5,𝔽2)11yescharacteristic
1795C22C22×H(5,𝔽2)11yescharacteristic
1796C22C2×#58511yescharacteristic
1797C22C2×#58511yescharacteristic
1798C22H(7,𝔽2)11yescharacteristic
1799C4—24no—
1800C4—22no—
1801C4—24no—
1802C4—22no—
1803C4—24no—
1804C4—42no—
1805C4—41no—
1806C4—44no—
1807C4—41no—
1808C4—41no—
1809C4—42no—
1810C4—42no—
1811C4—44no—
1812C4—41no—
1813C4—42no—
1814C4—41no—
1815C4—41no—
1816C4—42no—
1817C4—42no—
1818C4—42no—
1819C4—41no—
1820C4—42no—
1821C4—44no—
1822C4—42no—
1823C4—41no—
1824C4—41no—
1825C4—42no—
1826C4#348114yes—
1827C4#349414yes—
1828C2—42no—
1829C2—44no—
1830C2—42no—
1831C2—44no—
1832C2—44no—
1833C2—84no—
1834C2C2×#348111yescharacteristic
1835C2C2×#349411yescharacteristic
1836C2#6281611yescharacteristic
1837C2#6292311yescharacteristic
1838C2#6298311yescharacteristic
1839C2#6300811yescharacteristic
1840C2#6301211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59647C2semidirect
2. #59599C2semidirect
3. #59484C2semidirect
4. #59230C2semidirect
5. #59220C2semidirect
6. #59041C2semidirect
7. #59030C2semidirect
8. #59028C2semidirect
9. #45373C2semidirect
10. #45188C2semidirect
11. #44245C2semidirect
12. #44236C2semidirect
13. #40171C2semidirect
14. #40046C2semidirect
15. #38967C2semidirect
16. #38910C2semidirect
17. #38549C2semidirect
18. #37858C2semidirect
19. #36495C2semidirect
20. #36460C2semidirect
21. #36426C2semidirect
22. #36291C2semidirect
23. #36211C2semidirect
24. #36126C2semidirect
25. #36114C2semidirect
26. D4×#121C2semidirect
27. #35978C2semidirect
28. #35730C2semidirect
29. #34889C2semidirect
30. #34700C2semidirect
31. #34310C2semidirect
32. #34243C2semidirect
33. #34204C2semidirect
34. C4×#553C2semidirect
35. D4×#117C2semidirect
37. C2×#547C22semidirect
40. C2×#532C22semidirect
42. C2×#529C22semidirect
44. C2×#518C22semidirect
46. C22×#117C22semidirect
47. #2860C22semidirect
48. #2859C22semidirect
50. #2856C22semidirect
51. #2854C22semidirect
52. #2853C22semidirect
53. #2851C22semidirect
55. #2797C22semidirect
56. #2788C22semidirect
57. #2786C22semidirect
58. #2784C22semidirect
59. #2782C22semidirect
60. #2780C22semidirect
61. #2772C22semidirect
62. #2751C22semidirect
63. #2750C22semidirect
64. #2743C22semidirect
65. #2742C22semidirect
66. #2737C22semidirect
67. #2736C22semidirect
68. #2701C22semidirect
69. #2691C22semidirect
70. #2688C22semidirect
71. #2685C22semidirect
72. #2685C22semidirect
73. #2684C22semidirect
74. #2684C22semidirect
75. #2678C22semidirect
76. #2654C22semidirect
77. #2638C22semidirect
78. #2628C22semidirect
79. #2624C22semidirect
80. #2600C22semidirect
81. #2598C22semidirect
82. #2595C22semidirect
83. #2578C22semidirect
84. #2578C22semidirect
85. #2574C22semidirect
86. #2572C22semidirect
87. #2571C22semidirect
89. #2563C22semidirect
90. #2563C22semidirect
91. #2561C22semidirect
92. #2559C22semidirect
93. #2559C22semidirect
94. #2559C22semidirect
95. #2557C22semidirect
96. #2551C22semidirect
97. #2550C22semidirect
98. #2548C22semidirect
99. #2544C22semidirect
101. #2540C22semidirect
102. #2538C22semidirect
104. #2535C22semidirect
105. #2535C22semidirect
106. #2535C22semidirect
107. #2535C22semidirect
108. #2534C22semidirect
109. #2526C22semidirect
110. #2521C22semidirect
111. #2516C22semidirect
112. #2516C22semidirect
113. #2515C22semidirect
114. #2513C22semidirect
115. #2513C22semidirect
116. #2513C22semidirect
117. #2512C22semidirect
118. #2509C22semidirect
119. #2508C22semidirect
120. #2504C22semidirect
121. #2500C22semidirect
122. #2496C22semidirect
123. #2495C22semidirect
124. #2495C22semidirect
125. #2492C22semidirect
126. #2491C22semidirect
127. #2490C22semidirect
128. #2490C22semidirect
129. #2490C22semidirect
130. #2490C22semidirect
131. #2487C22semidirect
132. #2487C22semidirect
133. #2480C22semidirect
134. #2480C22semidirect
135. #2480C22semidirect
136. #2477C22semidirect
137. #2477C22semidirect
138. #2476C22semidirect
139. #2471C22semidirect
140. #2471C22semidirect
141. #2470C22semidirect
142. #2468C22semidirect
143. #2467C22semidirect
144. #2467C22semidirect
145. #2466C22semidirect
146. #2466C22semidirect
147. #2464C22semidirect
148. #2461C22semidirect
149. #2457C22semidirect
150. #2457C22semidirect
151. #2457C22semidirect
153. #2454C22semidirect
154. #2452C22semidirect
156. #2447C22semidirect
157. #2445C22semidirect
158. #2442C22semidirect
159. #2442C22semidirect
160. #2439C22semidirect
161. #2439C22semidirect
164. #2430C22semidirect
166. #2427C22semidirect
167. #2426C22semidirect
169. #2422C22semidirect
170. #2421C22semidirect
172. #2420C22semidirect
173. #2420C22semidirect
174. #2420C22semidirect
175. #2420C22semidirect
176. #2420C22semidirect
177. #2420C22semidirect
178. #2418C22semidirect
179. #2418C22semidirect
180. #2418C22semidirect
181. #2417C22semidirect
182. #2417C22semidirect
185. #2416C22semidirect
186. #2414C22semidirect
187. #2414C22semidirect
188. #2414C22semidirect
189. #2411C22semidirect
194. #2408C22semidirect
195. #2408C22semidirect
196. #2405C22semidirect
197. #2404C22semidirect
198. #2404C22semidirect
199. #2395C22semidirect
200. #2395C22semidirect
201. #2392C22semidirect
202. #2388C22semidirect
203. #2374C22semidirect
204. #2373C22semidirect
205. #2370C22semidirect
206. #2370C22semidirect
208. #2366C22semidirect
209. #2366C22semidirect
210. #2364C22semidirect
213. #2363C22semidirect
214. #2363C22semidirect
215. #2363C22semidirect
216. #2363C22semidirect
217. #2361C22semidirect
218. #2361C22semidirect
219. #2361C22semidirect
220. #2361C22semidirect
221. #2361C22semidirect
222. #2361C22semidirect
223. #2361C22semidirect
224. #2359C22semidirect
225. #2358C22semidirect
226. #2358C22semidirect
227. #2357C22semidirect
228. #2357C22semidirect
229. #2357C22semidirect
230. #2355C22semidirect
233. #2353C22semidirect
234. #2352C22semidirect
235. #2352C22semidirect
236. #2352C22semidirect
237. #2352C22semidirect
238. Q8×C4⋊C4C22semidirect
240. D4×C4⋊C4C22semidirect
241. D4×C4⋊C4C22semidirect
242. D4×C4⋊C4C22semidirect
243. D4×C4⋊C4C22semidirect
244. #2347C22semidirect
245. #2345C22semidirect
246. #2345C22semidirect
247. #2344C22semidirect
248. #2344C22semidirect
249. #2342C22semidirect
250. #2342C22semidirect
251. #2342C22semidirect
255. D4×C22⋊C4C22semidirect
256. D4×C22⋊C4C22semidirect
257. D4×C22⋊C4C22semidirect
258. #2334C22semidirect
259. #2324C22semidirect
260. #2324C22semidirect
261. #2324C22semidirect
262. #2321C22semidirect
263. #2316C22semidirect
264. #2314C22semidirect
265. #2309C22semidirect
266. C4×#127C22semidirect
267. C4×#125C22semidirect
268. C4×#126C22semidirect
269. C4×#124C22semidirect
270. C4×#124C22semidirect
271. C4×C22⋊Q8C22semidirect
272. C4×C22⋊Q8C22semidirect
273. C4×#123C22semidirect
276. C4×#121C22semidirect
277. C4×#121C22semidirect
278. C4×#121C22semidirect
279. C4×#121C22semidirect
280. C4×#121C22semidirect
281. C4×#121C22semidirect
282. C4×#120C22semidirect
283. #2297C22semidirect
287. #2290C22semidirect
288. #2285C22semidirect
289. #2285C22semidirect
290. #2280C22semidirect
291. #2280C22semidirect
292. #2274C22semidirect
293. C42×D4C22semidirect
294. C42×D4C22semidirect
295. C42×D4C22semidirect
296. C42×D4C22semidirect
297. C4×#117C22semidirect
298. C2×C4×C4⋊C4C22semidirect
928. #121#41semidirect
969. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#596472
#595992
#594842
#592302
#592202
#590412
#590302
#590282
#453732
#451882
#442452
#442362
#401712
#400462
#389672
#389102
#385492
#378582
#364952
#364602
#364262
#362912
#362112
#361262
#361142
D4×#1212
#359782
#357302
#348892
#347002
#343102
#342432
#342042
C4×#5532
D4×#1172