Finite Group Databasebeta

← #7689512

Subgroups — #7689512

Order 512.

6106 conjugacy classes of subgroups.

The subgroup lattice has 1861 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59767C212yesmaximal, complemented
2#59640C211yesmaximal, characteristic, complemented
3#59234C211yesmaximal, characteristic, complemented
4#59233C211yesmaximal, characteristic, complemented
5#59224C212yesmaximal, complemented
6#59160C214yesmaximal, complemented
7#59135C212yesmaximal, complemented
8#59026C212yesmaximal, complemented
9#45408C212yesmaximal, complemented
10#45208C212yesmaximal, complemented
11#43938C214yesmaximal, complemented
12#43645C214yesmaximal, complemented
13#39505C211yesmaximal, characteristic, complemented
14#39503C212yesmaximal, complemented
15#38941C211yesmaximal, characteristic, complemented
16#38938C212yesmaximal, complemented
17#38285C212yesmaximal, complemented
18#38283C214yesmaximal, complemented
19#36273C211yesmaximal, characteristic, complemented
20#36258C211yesmaximal, characteristic, complemented
21#36257C212yesmaximal, complemented
22#36203C212yesmaximal, complemented
23#36187C211yesmaximal, characteristic, complemented
24D4×C4⋊Q8C211yesmaximal, characteristic, complemented
25D4×#124C212yesmaximal, complemented
26D4×#121C211yesmaximal, characteristic, complemented
27#35939C212yesmaximal, complemented
28#35761C212yesmaximal, complemented
29#34800C211yesmaximal, characteristic, complemented
30C2×#2491C212yesmaximal, complemented
31#34310C211yesmaximal, characteristic, complemented
32#34261C212yesmaximal, complemented
33#34194C211yesmaximal, characteristic, complemented
34C4×#546C211yesmaximal, characteristic, complemented
35#34127C211yesmaximal, characteristic, complemented
36C2×#555C2212yescomplemented
37C2×#555C2212yescomplemented
38C2×D4×Q8C2212yes—
39C2×#546C2211yescharacteristic
40C2×#546C2212yes—
41C2×D42C2211yescharacteristic
42C2×D42C2212yes—
43C22×C4⋊Q8C2212yescomplemented
44C22×#124C2214yescomplemented
45C22×#121C2212yes—
46C2×#518C2212yes—
47C2×C4×#41C2211yescharacteristic
48C22×C4×D4C2211yescharacteristic
49#2868C2211yescharacteristic, complemented
50#2858C2212yescomplemented
51#2857C2212yescomplemented
52#2856C2211yescharacteristic
53#2856C2211yescharacteristic, complemented
54#2854C2212yescomplemented
55#2850C2214yescomplemented
56#2847C2212yes—
57#2808C2214yescomplemented
58#2803C2214yescomplemented
59#2803C2214yescomplemented
60#2803C2214yescomplemented
61#2795C2214yescomplemented
62#2785C2214yescomplemented
63#2784C2214yescomplemented
64#2781C2214yescomplemented
65#2775C2214yescomplemented
66#2756C2214yescomplemented
67#2756C2214yescomplemented
68#2737C2214yescomplemented
69#2737C2214yescomplemented
70#2733C2214yescomplemented
71#2731C2214yescomplemented
72#2731C2214yescomplemented
73#2731C2214yescomplemented
74#2699C2214yescomplemented
75#2686C2214yescomplemented
76#2686C2214yescomplemented
77#2686C2214yescomplemented
78#2640C2212yescomplemented
79#2639C2214yescomplemented
80#2620C2212yescomplemented
81#2617C2214yescomplemented
82#2610C2214yescomplemented
83#2610C2214yescomplemented
84#2610C2214yescomplemented
85#2593C2214yescomplemented
86#2592C2212yescomplemented
87#2574C2214yescomplemented
88#2572C2214yescomplemented
89#2563C2212yescomplemented
90#2563C2212yescomplemented
91#2563C2212yescomplemented
92#2563C2212yescomplemented
93#2561C2214yescomplemented
94#2555C2214yescomplemented
95#2555C2214yescomplemented
96#2551C2211yescharacteristic, complemented
97#2551C2211yescharacteristic, complemented
98#2551C2212yescomplemented
99#2548C2212yescomplemented
100#2548C2211yescharacteristic, complemented
101#2547C2212yescomplemented
102#2546C2212yescomplemented
103#2544C2212yescomplemented
104#2541C2211yescharacteristic
105#2538C2211yescharacteristic, complemented
106#2537C2211yescharacteristic
107#2537C2212yescomplemented
108#2537C2212yescomplemented
109#2534C2214yescomplemented
110#2532C2212yescomplemented
111#2531C2214yescomplemented
112#2529C2214yescomplemented
113#2526C2214yescomplemented
114#2526C2212yescomplemented
115#2518C2214yescomplemented
116#2518C2212yescomplemented
117#2513C2212yescomplemented
118#2513C2212yescomplemented
119#2513C2211yescharacteristic, complemented
120#2508C2211yescharacteristic, complemented
121#2500C2211yescharacteristic, complemented
122#2500C2212yescomplemented
123#2500C2212yescomplemented
124#2500C2212yescomplemented
125#2500C2212yescomplemented
126#2497C2212yescomplemented
127#2497C2211yescharacteristic, complemented
128#2495C2212yescomplemented
129#2492C2212yescomplemented
130#2492C2212yescomplemented
131#2491C2212yes—
132#2491C2211yescharacteristic
133#2491C2212yescomplemented
134#2491C2212yescomplemented
135#2491C2212yescomplemented
136#2491C2212yescomplemented
137#2491C2214yescomplemented
138#2491C2214yescomplemented
139#2491C2212yescomplemented
140#2491C2212yescomplemented
141#2491C2212yescomplemented
142#2491C2212yescomplemented
143#2491C2212yescomplemented
144#2491C2212yescomplemented
145#2491C2214yescomplemented
146#2491C2212yescomplemented
147#2491C2214yescomplemented
148#2491C2214yescomplemented
149#2491C2212yescomplemented
150#2491C2212yescomplemented
151#2488C2214yescomplemented
152#2488C2214yescomplemented
153#2485C2211yescharacteristic, complemented
154#2476C2214yescomplemented
155#2474C2214yescomplemented
156#2474C2214yescomplemented
157#2472C2214yescomplemented
158#2472C2214yescomplemented
159#2472C2214yescomplemented
160#2472C2214yescomplemented
161#2472C2214yescomplemented
162#2472C2214yescomplemented
163#2459C2212yescomplemented
164#2459C2214yescomplemented
165#2440C2212yescomplemented
166#2440C2214yescomplemented
167#2440C2212yescomplemented
168#2439C2212yescomplemented
169#2439C2214yescomplemented
170#2439C2211yescharacteristic, complemented
171#2436C2214yescomplemented
172#2436C2214yescomplemented
173#2435C2214yescomplemented
174#2434C2214yescomplemented
175#2428C2212yes—
176#2428C2212yescomplemented
177#2427C2212yescomplemented
178#2426C2212yescomplemented
179#2425C2214yescomplemented
180#2424C2214yes—
181#2424C2214yescomplemented
182#2424C2214yescomplemented
183#2420C2212yescomplemented
184#2420C2212yescomplemented
185#2416C2212yes—
186#2416C2212yes—
187#2416C2212yescomplemented
188#2416C2214yescomplemented
189#2415C2212yescomplemented
190#2414C2211yescharacteristic
191#2414C2212yescomplemented
192#2414C2212yescomplemented
193#2414C2212yescomplemented
194#2414C2212yescomplemented
195#2412C2214yescomplemented
196#2411C2214yescomplemented
197#2410C2214yes—
198#2410C2214yescomplemented
199#2408C2212yes—
200#2408C2212yescomplemented
201#2398C2212yescomplemented
202#2392C2212yescomplemented
203C2×#394C2214yescomplemented
204C2×#393C2214yescomplemented
205#2372C2214yescomplemented
206#2369C2212yescomplemented
207#2367C2211yescharacteristic, complemented
208#2366C2211yescharacteristic, complemented
209#2364C2212yescomplemented
210#2363C2212yescomplemented
211#2363C2212yescomplemented
212#2363C2211yescharacteristic, complemented
213#2363C2212yescomplemented
214#2361C2212yescomplemented
215#2360C2211yescharacteristic, complemented
216#2359C2212yescomplemented
217#2358C2214yescomplemented
218#2358C2212yescomplemented
219#2357C2212yescomplemented
220#2355C2211yescharacteristic, complemented
221#2355C2211yescharacteristic, complemented
222#2354C2211yescharacteristic, complemented
223#2354C2211yescharacteristic, complemented
224#2354C2212yescomplemented
225#2354C2212yescomplemented
226#2354C2211yescharacteristic, complemented
227#2353C2214yescomplemented
228#2352C2212yescomplemented
229#2352C2212yescomplemented
230#2352C2212yescomplemented
231#2352C2212yescomplemented
232#2352C2211yescharacteristic, complemented
233#2352C2214yescomplemented
234#2349C2211yescharacteristic
235D4×C4⋊C4C2211yescharacteristic
236D4×C4⋊C4C2211yescharacteristic
237D4×C4⋊C4C2211yescharacteristic
238D4×C4⋊C4C2212yes—
239#2347C2212yescomplemented
240#2347C2212yescomplemented
241#2346C2212yescomplemented
242#2346C2212yescomplemented
243#2345C2212yescomplemented
244#2343C2214yescomplemented
245#2342C2214yescomplemented
246#2342C2214yescomplemented
247#2342C2212yescomplemented
248#2342C2214yescomplemented
249#2339C2212yes—
250#2339C2211yescharacteristic
251D4×C22⋊C4C2212yes—
252D4×C22⋊C4C2211yescharacteristic
253D4×C22⋊C4C2212yes—
254D4×C22⋊C4C2212yes—
255D4×C22⋊C4C2212yes—
256D4×C22⋊C4C2212yescomplemented
257#2324C2212yescomplemented
258#2321C2214yescomplemented
259#2319C2212yescomplemented
260#2319C2212yescomplemented
261#2318C2214yescomplemented
262#2318C2214yescomplemented
263#2314C2212yescomplemented
264#2312C2214yescomplemented
265C4×C4⋊Q8C2211yescharacteristic, complemented
266C4×#127C2211yescharacteristic, complemented
267C4×#124C2212yescomplemented
268C4×#124C2211yescharacteristic, complemented
269C4×C22⋊Q8C2211yescharacteristic, complemented
270C4×#123C2212yescomplemented
271C4×#121C2211yescharacteristic
272C4×#121C2212yescomplemented
273C4×#121C2212yescomplemented
274C4×#121C2211yescharacteristic, complemented
275C4×#121C2211yescharacteristic, complemented
276C4×#120C2212yescomplemented
277#2298C2212yescomplemented
278#2295C2212yescomplemented
279#2293C2211yescharacteristic, complemented
280#2293C2212yescomplemented
281C2×#390C2212yescomplemented
282C2×#390C2212yescomplemented
283#2290C2214yescomplemented
284#2290C2214yescomplemented
285C2×#388C2214yescomplemented
286#2285C2211yescharacteristic, complemented
287#2285C2211yescharacteristic, complemented
288#2283C2211yescharacteristic, complemented
289#2283C2212yescomplemented
290#2280C2212yescomplemented
291C2×#380C2212yescomplemented
292#2275C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic, complemented
296C4×#117C2211yescharacteristic, complemented
297C2×C4×C4⋊C4C2212yescomplemented
298C2×C4×C22⋊C4C2212yescomplemented
299C22×#41C2311yescharacteristic
300C23×Q8C2314yes—
301C23×D4C2311yescharacteristic
302C23×D4C2312yes—
303C23×D4C2312yes—
304C23×D4C2314yes—
305C24×C4C2312yes—
306#555—48no—
307#555—48no—
308D4×Q8—48no—
309#546—28no—
310#546—48no—
311D42—28no—
312D42—48no—
313C2×C4⋊Q8—48no—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2312yes—
322C2×C4⋊Q8C2314yes—
323C2×C4⋊Q8C2314yes—
324C2×#127C2311yescharacteristic
325C2×#127C2312yes—
326C2×#124—416no—
327C2×#124C2311yescharacteristic
328C2×#124C2314yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2314yes—
332C2×#124C2314yes—
333C2×#124C2314yes—
334C2×#124C2314yes—
335C2×#124C2314yes—
336C2×#124C2314yes—
337C2×#124C2314yes—
338C2×#124C2314yes—
339C2×#124C2314yes—
340C2×#123C2312yes—
341C2×#123C2314yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2312yes—
347C2×#121—48no—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2311yescharacteristic
353C2×#121C2311yescharacteristic
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2314yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2314yes—
364C2×#121C2312yes—
365C2×#121C2311yescharacteristic
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2314yes—
369C2×#121C2314yes—
370C2×#120C2314yes—
371C2×#120C2312yes—
372C2×#120C2314yes—
373C2×#120C2314yes—
374C2×#120C2314yes—
375#518—216no—
376C4×#41—28no—
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2312yes—
380C2×C4×D4—28no—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2312yes—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×#117C2312yes—
410C2×#117C2312yes—
411C2×#117C2312yes—
412C2×#117C2311yescharacteristic
413C2×#117C2311yescharacteristic
414C2×#117C2312yes—
415C2×#117C2314yes—
416C2×#117C2314yes—
417C2×#117C2312yes—
418C2×#117C2311yescharacteristic
419C2×#117C2312yes—
420C2×#117C2312yes—
421C22×C4⋊C4C2311yescharacteristic
422C22×C4⋊C4C2312yes—
423C22×C4⋊C4C2312yes—
424C22×C4⋊C4C2314yes—
425C22×C4⋊C4C2312yes—
426C22×C22⋊C4C2314yes—
427C22×C22⋊C4C2312yes—
428C22×C22⋊C4C2314yes—
429C22×C22⋊C4C2312yes—
430C22×C22⋊C4C2312yes—
431C22×C22⋊C4C2314yes—
432C22×C22⋊C4C2314yes—
433C22×C22⋊C4C2314yes—
434C22×C22⋊C4C2314yes—
435C22×C22⋊C4C2314yes—
436C22×C42C2312yes—
437C22×C42C2311yescharacteristic
438C22×C42C2311yescharacteristic
439C22×C42C2314yes—
440C22×C42C2312yes—
441#400C2312yes—
442#400C2312yes—
443#400C2314yes—
444#400C2314yes—
445#398C2312yes—
446#398C2314yes—
447#398C2314yes—
448#397C2312yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2312yes—
453#397C2314yes—
454#397C2314yes—
455#397C2312yes—
456#397C2314yes—
457#397C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2312yes—
462#396C2312yes—
463#396C2314yes—
464#396C2314yes—
465#395C2314yes—
466#395C2314yes—
467#395C2314yes—
468#395C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2312yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2312yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2312yes—
487#394C2312yes—
488#394C2312yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#393C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2312yes—
510#393C2314yes—
511#393C2314yes—
512#393C2312yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2312yes—
518#392C2314yes—
519#391C2312yes—
520#391C2314yes—
521#391C2314yes—
522#391C2311yescharacteristic
523#391C2312yes—
524#391C2312yes—
525#391C2311yescharacteristic
526#391C2314yes—
527#391C2314yes—
528#391C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2314yes—
536#390C2314yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2314yes—
543#390C2312yes—
544#390C2312yes—
545#390C2314yes—
546#390C2312yes—
547#390C2311yescharacteristic
548#390C2311yescharacteristic
549#390C2311yescharacteristic
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2314yes—
554#390C2314yes—
555#390C2314yes—
556#390C2312yes—
557#390C2314yes—
558#390C2312yes—
559#390C2311yescharacteristic
560#390C2312yes—
561#390C2314yes—
562#390C2312yes—
563#390C2311yescharacteristic
564#390C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2312yes—
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2314yes—
577#389C2311yescharacteristic
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2311yescharacteristic
582#389C2311yescharacteristic
583#389C2314yes—
584#389C2311yescharacteristic
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
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#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2312yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2312yes—
628#388C2314yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2314yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#388C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2312yes—
672#386C2314yes—
673#386C2314yes—
674#386C2312yes—
675#386C2312yes—
676#386C2312yes—
677#386C2312yes—
678#386C2312yes—
679#386C2314yes—
680#386C2312yes—
681#386C2314yes—
682#386C2314yes—
683#386C2312yes—
684#385C2312yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2312yes—
690#385C2314yes—
691#385C2312yes—
692#385C2312yes—
693#385C2314yes—
694#385C2312yes—
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2312yes—
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#384C2312yes—
701#384C2312yes—
702#383C2314yes—
703#383C2314yes—
704#383C2312yes—
705#382C2311yescharacteristic
706#382C2312yes—
707#382C2314yes—
708#382C2314yes—
709#382C2312yes—
710#382C2312yes—
711#382C2311yescharacteristic
712#382C2312yes—
713#382C2311yescharacteristic
714#382C2312yes—
715#381C2312yes—
716#381C2314yes—
717#381C2314yes—
718#381C2314yes—
719#381C2314yes—
720#381C2312yes—
721#380C2311yescharacteristic
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2314yes—
733#380C2312yes—
734#380C2314yes—
735#380C2312yes—
736#380C2314yes—
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2312yes—
740#380C2311yescharacteristic
741#380C2312yes—
742#380C2314yes—
743#380C2312yes—
744#380C2312yes—
745#380C2311yescharacteristic
746#380C2311yescharacteristic
747#380C2312yes—
748#379C2314yes—
749#379C2314yes—
750#379C2314yes—
751#379C2314yes—
752#379C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813#376C2312yes—
814#376C2312yes—
815#376C2314yes—
816#376C2314yes—
817C2×#95C2314yes—
818C2×#95C2314yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C43C2311yescharacteristic
822C43C2312yes—
823C25C2412yes—
824C25C2414yes—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—24no—
828C22×Q8—48no—
829C22×Q8—48no—
830C22×Q8—48no—
831C22×Q8C2411yescharacteristic
832C22×Q8C2412yes—
833C22×Q8C2414yes—
834C22×Q8C2414yes—
835C22×Q8C2414yes—
836C22×D4—24no—
837C22×D4—28no—
838C22×D4—28no—
839C22×D4—24no—
840C22×D4—24no—
841C22×D4—28no—
842C22×D4—28no—
843C22×D4—44no—
844C22×D4—48no—
845C22×D4—44no—
846C22×D4—48no—
847C22×D4—48no—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2411yescharacteristic
853C22×D4C2412yes—
854C22×D4C2411yescharacteristic
855C22×D4C2411yescharacteristic
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2412yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2411yescharacteristic
867C23×C4—28no—
868C23×C4—44no—
869C23×C4—44no—
870C23×C4C2412yes—
871C23×C4C2411yescharacteristic
872C23×C4C2411yescharacteristic
873C23×C4C2412yes—
874C23×C4C2412yes—
875C23×C4C2411yescharacteristic
876C23×C4C2411yescharacteristic
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2411yescharacteristic
880C23×C4C2414yes—
881C23×C4C2411yescharacteristic
882C23×C4C2412yes—
883C23×C4C2414yes—
884C23×C4C2414yes—
885C23×C4C2412yes—
886C23×C4C2412yes—
887C23×C4C2414yes—
888C23×C4C2414yes—
889C23×C4C2412yes—
890C23×C4C2412yes—
891C4⋊Q8—24no—
892C4⋊Q8—28no—
893C4⋊Q8—44no—
894C4⋊Q8—44no—
895C4⋊Q8—44no—
896C4⋊Q8—44no—
897C4⋊Q8—44no—
898C4⋊Q8—44no—
899C4⋊Q8—48no—
900C4⋊Q8—48no—
901#127—24no—
902#127—44no—
903#124—28no—
904#124—216no—
905#124—24no—
906#124—48no—
907#124—48no—
908#124—44no—
909#124—48no—
910#124—48no—
911#124—48no—
912#124—48no—
913#124—48no—
914#124—48no—
915#124—48no—
916#123—28no—
917#123—48no—
918C22⋊Q8—24no—
919C22⋊Q8—48no—
920C22⋊Q8—48no—
921C22⋊Q8—48no—
922C22⋊Q8—44no—
923#121—28no—
924#121—28no—
925#121—28no—
926#121—24no—
927#121—24no—
928#121—28no—
929#121—44no—
930#121—48no—
931#121—48no—
932#121—48no—
933#121—48no—
934#121—44no—
935#121—44no—
936#121—42no—
937#121—44no—
938#121—44no—
939#121—44no—
940#121—44no—
941#121—44no—
942#121—48no—
943#121—48no—
944#121—44no—
945#120—216no—
946#120—28no—
947#120—48no—
948#120—48no—
949#120—48no—
950C4×Q8—24no—
951C4×Q8—24no—
952C4×Q8—44no—
953C4×D4—24no—
954C4×D4—24no—
955C4×D4—28no—
956C4×D4—28no—
957C4×D4—28no—
958C4×D4—24no—
959C4×D4—28no—
960C4×D4—28no—
961C4×D4—216no—
962C4×D4—24no—
963C4×D4—28no—
964C4×D4—28no—
965C4×D4—28no—
966C4×D4—216no—
967C4×D4—24no—
968C4×D4—24no—
969C4×D4—28no—
970C4×D4—24no—
971C4×D4—24no—
972C4×D4—44no—
973C4×D4—44no—
974C4×D4—44no—
975C4×D4—42no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4#4118yes—
980C4×D4#4118yes—
981#117—24no—
982#117—28no—
983#117—24no—
984#117—28no—
985#117—28no—
986#117—44no—
987#117—48no—
988#117—48no—
989#117—44no—
990#117—42no—
991#117—44no—
992#117—44no—
993C2×C4⋊C4—24no—
994C2×C4⋊C4—28no—
995C2×C4⋊C4—44no—
996C2×C4⋊C4—44no—
997C2×C4⋊C4—48no—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C22⋊C4—216no—
1049C2×C22⋊C4—28no—
1050C2×C22⋊C4—28no—
1051C2×C22⋊C4—216no—
1052C2×C22⋊C4—28no—
1053C2×C22⋊C4—48no—
1054C2×C22⋊C4—48no—
1055C2×C22⋊C4—48no—
1056C2×C22⋊C4—48no—
1057C2×C22⋊C4—48no—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2411yescharacteristic
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2411yescharacteristic
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2411yescharacteristic
1118C2×C22⋊C4C2411yescharacteristic
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2411yescharacteristic
1133C2×C42—28no—
1134C2×C42—24no—
1135C2×C42—24no—
1136C2×C42—48no—
1137C2×C42—44no—
1138C2×C42C2412yes—
1139C2×C42C2414yes—
1140C2×C42C2411yescharacteristic
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2414yes—
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2412yes—
1155C2×C42C2412yes—
1156C2×C42C2412yes—
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159C2×C42C2414yes—
1160C2×C42C2414yes—
1161C2×C42C2412yes—
1162C2×C42C2414yes—
1163C2×C42C2414yes—
1164C2×C42C2414yes—
1165C2×C42C2412yes—
1166C2×C42C2412yes—
1167C2×C42C2412yes—
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171#95C2412yes—
1172#95C2412yes—
1173#95C2411yescharacteristic
1174#95C2411yescharacteristic
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#95C2412yes—
1190#95C2414yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2414yes—
1203#95C2411yescharacteristic
1204#95C2414yes—
1205#95C2411yescharacteristic
1206#95C2414yes—
1207#95C2411yescharacteristic
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2411yescharacteristic
1213#95C2412yes—
1214#95C2412yes—
1215#95C2414yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2414yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229C24—24no—
1230C24—24no—
1231C24—24no—
1232C24—24no—
1233C24—28no—
1234C24—28no—
1235C24—28no—
1236C24—42no—
1237C24—42no—
1238C24—42no—
1239C24—44no—
1240C24—44no—
1241C24—44no—
1242C24—44no—
1243C24C2512yes—
1244C24C2512yes—
1245C24C2514yes—
1246C24C2511yescharacteristic
1247C24C2511yescharacteristic
1248C24C2512yes—
1249#41—416no—
1250C2×Q8—22no—
1251C2×Q8—22no—
1252C2×Q8—22no—
1253C2×Q8—24no—
1254C2×Q8—24no—
1255C2×Q8—28no—
1256C2×Q8—28no—
1257C2×Q8—42no—
1258C2×Q8—44no—
1259C2×Q8—44no—
1260C2×Q8—44no—
1261C2×Q8—44no—
1262C2×Q8—44no—
1263C2×Q8—44no—
1264C2×Q8—44no—
1265C2×Q8—832no—
1266C2×D4—24no—
1267C2×D4—28no—
1268C2×D4—24no—
1269C2×D4—28no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—22no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—28no—
1276C2×D4—24no—
1277C2×D4—28no—
1278C2×D4—22no—
1279C2×D4—24no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—24no—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—28no—
1288C2×D4—24no—
1289C2×D4—24no—
1290C2×D4—22no—
1291C2×D4—24no—
1292C2×D4—22no—
1293C2×D4—28no—
1294C2×D4—24no—
1295C2×D4—22no—
1296C2×D4—42no—
1297C2×D4—41no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—42no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—42no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—42no—
1312C2×D4—42no—
1313C2×D4—42no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—416no—
1321C2×D4—432no—
1322C2×D4—816no—
1323C2×D4—832no—
1324C2×D4C2×#4114yes—
1325C2×D4C2×#4114yes—
1326C2×D4H(5,𝔽2)14yes—
1327C22×C4—24no—
1328C22×C4—24no—
1329C22×C4—24no—
1330C22×C4—24no—
1331C22×C4—24no—
1332C22×C4—24no—
1333C22×C4—22no—
1334C22×C4—28no—
1335C22×C4—24no—
1336C22×C4—28no—
1337C22×C4—24no—
1338C22×C4—28no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—24no—
1351C22×C4—24no—
1352C22×C4—28no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—24no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—24no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—24no—
1362C22×C4—22no—
1363C22×C4—24no—
1364C22×C4—28no—
1365C22×C4—28no—
1366C22×C4—24no—
1367C22×C4—42no—
1368C22×C4—44no—
1369C22×C4—42no—
1370C22×C4—41no—
1371C22×C4—42no—
1372C22×C4—42no—
1373C22×C4—41no—
1374C22×C4—44no—
1375C22×C4—42no—
1376C22×C4—44no—
1377C22×C4—44no—
1378C22×C4—44no—
1379C22×C4—44no—
1380C22×C4—44no—
1381C22×C4—44no—
1382C22×C4—42no—
1383C22×C4—42no—
1384C22×C4—42no—
1385C22×C4—42no—
1386C22×C4—42no—
1387C22×C4—44no—
1388C22×C4—816no—
1389C22×C4C2×#4118yes—
1390C22×C4C2×#4118yes—
1391C22×C4C2511yescharacteristic
1392C22×C4C2512yes—
1393C22×C4C2511yescharacteristic
1394C22×C4C2512yes—
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2511yescharacteristic
1399C22×C4C2511yescharacteristic
1400C22×C4C2512yes—
1401C22×C4C2512yes—
1402C22×C4C2514yes—
1403C22×C4C2512yes—
1404C22×C4C2511yescharacteristic
1405C22×C4C2511yescharacteristic
1406C22×C4C2512yes—
1407C22×C4C2514yes—
1408C22×C4C2512yes—
1409C22×C4C2514yes—
1410C22×C4C2511yescharacteristic
1411C22×C4C2512yes—
1412C22×C4C2512yes—
1413C22×C4C2511yescharacteristic
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C22×C4C2511yescharacteristic
1417C22×C4C2512yes—
1418C22×C4C2511yescharacteristic
1419C22×C4C2511yescharacteristic
1420C4⋊C4—24no—
1421C4⋊C4—22no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—22no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—22no—
1429C4⋊C4—22no—
1430C4⋊C4—24no—
1431C4⋊C4—28no—
1432C4⋊C4—24no—
1433C4⋊C4—24no—
1434C4⋊C4—22no—
1435C4⋊C4—28no—
1436C4⋊C4—24no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—24no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—44no—
1455C4⋊C4—42no—
1456C4⋊C4—42no—
1457C4⋊C4—41no—
1458C4⋊C4—42no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—42no—
1463C4⋊C4—44no—
1464C4⋊C4—44no—
1465C4⋊C4—44no—
1466C4⋊C4—44no—
1467C4⋊C4C2×#4114yes—
1468C4⋊C4C2×#4114yes—
1469C4⋊C4H(5,𝔽2)14yes—
1470C22⋊C4—24no—
1471C22⋊C4—28no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—28no—
1476C22⋊C4—28no—
1477C22⋊C4—28no—
1478C22⋊C4—24no—
1479C22⋊C4—28no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—22no—
1483C22⋊C4—24no—
1484C22⋊C4—28no—
1485C22⋊C4—28no—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—24no—
1490C22⋊C4—24no—
1491C22⋊C4—24no—
1492C22⋊C4—22no—
1493C22⋊C4—28no—
1494C22⋊C4—24no—
1495C22⋊C4—24no—
1496C22⋊C4—24no—
1497C22⋊C4—24no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—28no—
1501C22⋊C4—28no—
1502C22⋊C4—28no—
1503C22⋊C4—24no—
1504C22⋊C4—22no—
1505C22⋊C4—42no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4—42no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—42no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—41no—
1529C22⋊C4—44no—
1530C22⋊C4—41no—
1531C22⋊C4—42no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—44no—
1536C22⋊C4—42no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—42no—
1541C22⋊C4—44no—
1542C22⋊C4C2×#4118yes—
1543C22⋊C4C2×#4118yes—
1544C22⋊C4H(5,𝔽2)14yes—
1545C42—22no—
1546C42—22no—
1547C42—24no—
1548C42—22no—
1549C42—22no—
1550C42—22no—
1551C42—22no—
1552C42—24no—
1553C42—24no—
1554C42—28no—
1555C42—24no—
1556C42—24no—
1557C42—22no—
1558C42—28no—
1559C42—24no—
1560C42—24no—
1561C42—22no—
1562C42—24no—
1563C42—24no—
1564C42—22no—
1565C42—22no—
1566C42—44no—
1567C42—44no—
1568C42—42no—
1569C42—42no—
1570C42—42no—
1571C42—41no—
1572C42—44no—
1573C42—42no—
1574C42—44no—
1575C42—44no—
1576C42C2×#4114yes—
1577C42C2×#4114yes—
1578C23—22no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—22no—
1589C23—22no—
1590C23—21no—
1591C23—24no—
1592C23—22no—
1593C23—21no—
1594C23—22no—
1595C23—24no—
1596C23—22no—
1597C23—22no—
1598C23—24no—
1599C23—21no—
1600C23—21no—
1601C23—24no—
1602C23—22no—
1603C23—22no—
1604C23—24no—
1605C23—22no—
1606C23—21no—
1607C23—22no—
1608C23—21no—
1609C23—22no—
1610C23—24no—
1611C23—22no—
1612C23—22no—
1613C23—24no—
1614C23—22no—
1615C23—21no—
1616C23—48no—
1617C23—48no—
1618C23—48no—
1619C23—48no—
1620C23—416no—
1621C23—84no—
1622C23—84no—
1623C23—84no—
1624C23—88no—
1625C23—88no—
1626C23—88no—
1627C23—88no—
1628C23—88no—
1629C23—88no—
1630C23C22×#4114yes—
1631C23C22×#4114yes—
1632C23C2×H(5,𝔽2)12yes—
1633C23C2×H(5,𝔽2)14yes—
1634C23C2611yescharacteristic
1635Q8—48no—
1636Q8—44no—
1637Q8—88no—
1638Q8—88no—
1639Q8—88no—
1640D4—44no—
1641D4—48no—
1642D4—416no—
1643D4—48no—
1644D4—48no—
1645D4—44no—
1646D4—48no—
1647D4—48no—
1648D4—44no—
1649D4—84no—
1650D4—84no—
1651D4—88no—
1652D4—88no—
1653D4—88no—
1654D4—84no—
1655D4—88no—
1656D4—164no—
1657D4—164no—
1658D4#555116yescomplemented
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—21no—
1663C2×C4—22no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—22no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—22no—
1675C2×C4—216no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—24no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—24no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—24no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—21no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—22no—
1705C2×C4—24no—
1706C2×C4—24no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—24no—
1711C2×C4—24no—
1712C2×C4—22no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—24no—
1718C2×C4—22no—
1719C2×C4—21no—
1720C2×C4—22no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—24no—
1725C2×C4—22no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—21no—
1733C2×C4—48no—
1734C2×C4—44no—
1735C2×C4—48no—
1736C2×C4—44no—
1737C2×C4—416no—
1738C2×C4—48no—
1739C2×C4—48no—
1740C2×C4—44no—
1741C2×C4—48no—
1742C2×C4—44no—
1743C2×C4—44no—
1744C2×C4—48no—
1745C2×C4—44no—
1746C2×C4—88no—
1747C2×C4—88no—
1748C2×C4—84no—
1749C2×C4—84no—
1750C2×C4—88no—
1751C2×C4—84no—
1752C2×C4—88no—
1753C2×C4C22×#4112yes—
1754C2×C4C22×#4114yes—
1755C2×C4C22×#4114yes—
1756C2×C4C22×#4112yes—
1757C2×C4C22×#4112yes—
1758C2×C4C22×#4112yes—
1759C2×C4C22×#4112yes—
1760C2×C4C22×#4112yes—
1761C2×C4C2×H(5,𝔽2)12yes—
1762C2×C4C2×H(5,𝔽2)12yes—
1763C2×C4C2×H(5,𝔽2)14yes—
1764C2×C4C2×H(5,𝔽2)12yes—
1765C2×C4C2×H(5,𝔽2)12yes—
1766C2×C4#58512yes—
1767C22—24no—
1768C22—24no—
1769C22—24no—
1770C22—24no—
1771C22—24no—
1772C22—24no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—44no—
1781C22—41no—
1782C22—42no—
1783C22—42no—
1784C22—41no—
1785C22—44no—
1786C22—42no—
1787C22—42no—
1788C22—42no—
1789C22—42no—
1790C22—44no—
1791C22—41no—
1792C22—42no—
1793C22—41no—
1794C22—42no—
1795C22—44no—
1796C22—44no—
1797C22—41no—
1798C22—42no—
1799C22—42no—
1800C22—41no—
1801C22—42no—
1802C22—42no—
1803C22—44no—
1804C22—41no—
1805C22—42no—
1806C22—42no—
1807C22—44no—
1808C22—816no—
1809C22—1616no—
1810C22C2×#55518yes—
1811C22C23×#4111yescharacteristic
1812C22C23×#4111yescharacteristic
1813C22C22×H(5,𝔽2)11yescharacteristic
1814C22C22×H(5,𝔽2)11yescharacteristic
1815C22C22×H(5,𝔽2)11yescharacteristic
1816C22C2×#58511yescharacteristic
1817C222−1+611yescharacteristic
1818C4—22no—
1819C4—24no—
1820C4—22no—
1821C4—22no—
1822C4—24no—
1823C4—22no—
1824C4—24no—
1825C4—22no—
1826C4—42no—
1827C4—41no—
1828C4—42no—
1829C4—44no—
1830C4—42no—
1831C4—42no—
1832C4—44no—
1833C4—41no—
1834C4—42no—
1835C4—41no—
1836C4—42no—
1837C4—44no—
1838C4—41no—
1839C4—42no—
1840C4—42no—
1841C4—41no—
1842C4—42no—
1843C4—41no—
1844C4—42no—
1845C4C2×#55514yes—
1846C4#351414yes—
1847C2—28no—
1848C2—42no—
1849C2—81no—
1850C2—82no—
1851C2—84no—
1852C2—82no—
1853C2C22×#55511yescharacteristic
1854C2C2×#351411yescharacteristic
1855C2#6280011yescharacteristic
1856C2#6292111yescharacteristic
1857C2#6298411yescharacteristic
1858C2#6298511yescharacteristic
1859C2#6301111yescharacteristic
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. #59767C2semidirect
2. #59640C2semidirect
3. #59234C2semidirect
4. #59233C2semidirect
5. #59224C2semidirect
6. #59160C2semidirect
7. #59135C2semidirect
8. #59026C2semidirect
9. #45408C2semidirect
10. #45208C2semidirect
11. #43938C2semidirect
12. #43645C2semidirect
13. #39505C2semidirect
14. #39503C2semidirect
15. #38941C2semidirect
16. #38938C2semidirect
17. #38285C2semidirect
18. #38283C2semidirect
19. #36273C2semidirect
20. #36258C2semidirect
21. #36257C2semidirect
22. #36203C2semidirect
23. #36187C2semidirect
24. D4×C4⋊Q8C2semidirect
25. D4×#124C2semidirect
26. D4×#121C2semidirect
27. #35939C2semidirect
28. #35761C2semidirect
29. #34800C2semidirect
30. C2×#2491C2semidirect
31. #34310C2semidirect
32. #34261C2semidirect
33. #34194C2semidirect
34. C4×#546C2semidirect
35. #34127C2semidirect
36. C2×#555C22semidirect
37. C2×#555C22semidirect
43. C22×C4⋊Q8C22semidirect
44. C22×#124C22semidirect
49. #2868C22semidirect
50. #2858C22semidirect
51. #2857C22semidirect
53. #2856C22semidirect
54. #2854C22semidirect
55. #2850C22semidirect
57. #2808C22semidirect
58. #2803C22semidirect
59. #2803C22semidirect
60. #2803C22semidirect
61. #2795C22semidirect
62. #2785C22semidirect
63. #2784C22semidirect
64. #2781C22semidirect
65. #2775C22semidirect
66. #2756C22semidirect
67. #2756C22semidirect
68. #2737C22semidirect
69. #2737C22semidirect
70. #2733C22semidirect
71. #2731C22semidirect
72. #2731C22semidirect
73. #2731C22semidirect
74. #2699C22semidirect
75. #2686C22semidirect
76. #2686C22semidirect
77. #2686C22semidirect
78. #2640C22semidirect
79. #2639C22semidirect
80. #2620C22semidirect
81. #2617C22semidirect
82. #2610C22semidirect
83. #2610C22semidirect
84. #2610C22semidirect
85. #2593C22semidirect
86. #2592C22semidirect
87. #2574C22semidirect
88. #2572C22semidirect
89. #2563C22semidirect
90. #2563C22semidirect
91. #2563C22semidirect
92. #2563C22semidirect
93. #2561C22semidirect
94. #2555C22semidirect
95. #2555C22semidirect
96. #2551C22semidirect
97. #2551C22semidirect
98. #2551C22semidirect
99. #2548C22semidirect
100. #2548C22semidirect
101. #2547C22semidirect
102. #2546C22semidirect
103. #2544C22semidirect
105. #2538C22semidirect
107. #2537C22semidirect
108. #2537C22semidirect
109. #2534C22semidirect
110. #2532C22semidirect
111. #2531C22semidirect
112. #2529C22semidirect
113. #2526C22semidirect
114. #2526C22semidirect
115. #2518C22semidirect
116. #2518C22semidirect
117. #2513C22semidirect
118. #2513C22semidirect
119. #2513C22semidirect
120. #2508C22semidirect
121. #2500C22semidirect
122. #2500C22semidirect
123. #2500C22semidirect
124. #2500C22semidirect
125. #2500C22semidirect
126. #2497C22semidirect
127. #2497C22semidirect
128. #2495C22semidirect
129. #2492C22semidirect
130. #2492C22semidirect
133. #2491C22semidirect
134. #2491C22semidirect
135. #2491C22semidirect
136. #2491C22semidirect
137. #2491C22semidirect
138. #2491C22semidirect
139. #2491C22semidirect
140. #2491C22semidirect
141. #2491C22semidirect
142. #2491C22semidirect
143. #2491C22semidirect
144. #2491C22semidirect
145. #2491C22semidirect
146. #2491C22semidirect
147. #2491C22semidirect
148. #2491C22semidirect
149. #2491C22semidirect
150. #2491C22semidirect
151. #2488C22semidirect
152. #2488C22semidirect
153. #2485C22semidirect
154. #2476C22semidirect
155. #2474C22semidirect
156. #2474C22semidirect
157. #2472C22semidirect
158. #2472C22semidirect
159. #2472C22semidirect
160. #2472C22semidirect
161. #2472C22semidirect
162. #2472C22semidirect
163. #2459C22semidirect
164. #2459C22semidirect
165. #2440C22semidirect
166. #2440C22semidirect
167. #2440C22semidirect
168. #2439C22semidirect
169. #2439C22semidirect
170. #2439C22semidirect
171. #2436C22semidirect
172. #2436C22semidirect
173. #2435C22semidirect
174. #2434C22semidirect
176. #2428C22semidirect
177. #2427C22semidirect
178. #2426C22semidirect
179. #2425C22semidirect
181. #2424C22semidirect
182. #2424C22semidirect
183. #2420C22semidirect
184. #2420C22semidirect
187. #2416C22semidirect
188. #2416C22semidirect
189. #2415C22semidirect
191. #2414C22semidirect
192. #2414C22semidirect
193. #2414C22semidirect
194. #2414C22semidirect
195. #2412C22semidirect
196. #2411C22semidirect
198. #2410C22semidirect
200. #2408C22semidirect
201. #2398C22semidirect
202. #2392C22semidirect
203. C2×#394C22semidirect
204. C2×#393C22semidirect
205. #2372C22semidirect
206. #2369C22semidirect
207. #2367C22semidirect
208. #2366C22semidirect
209. #2364C22semidirect
210. #2363C22semidirect
211. #2363C22semidirect
212. #2363C22semidirect
213. #2363C22semidirect
214. #2361C22semidirect
215. #2360C22semidirect
216. #2359C22semidirect
217. #2358C22semidirect
218. #2358C22semidirect
219. #2357C22semidirect
220. #2355C22semidirect
221. #2355C22semidirect
222. #2354C22semidirect
223. #2354C22semidirect
224. #2354C22semidirect
225. #2354C22semidirect
226. #2354C22semidirect
227. #2353C22semidirect
228. #2352C22semidirect
229. #2352C22semidirect
230. #2352C22semidirect
231. #2352C22semidirect
232. #2352C22semidirect
233. #2352C22semidirect
239. #2347C22semidirect
240. #2347C22semidirect
241. #2346C22semidirect
242. #2346C22semidirect
243. #2345C22semidirect
244. #2343C22semidirect
245. #2342C22semidirect
246. #2342C22semidirect
247. #2342C22semidirect
248. #2342C22semidirect
256. D4×C22⋊C4C22semidirect
257. #2324C22semidirect
258. #2321C22semidirect
259. #2319C22semidirect
260. #2319C22semidirect
261. #2318C22semidirect
262. #2318C22semidirect
263. #2314C22semidirect
264. #2312C22semidirect
265. C4×C4⋊Q8C22semidirect
266. C4×#127C22semidirect
267. C4×#124C22semidirect
268. C4×#124C22semidirect
269. C4×C22⋊Q8C22semidirect
270. C4×#123C22semidirect
272. C4×#121C22semidirect
273. C4×#121C22semidirect
274. C4×#121C22semidirect
275. C4×#121C22semidirect
276. C4×#120C22semidirect
277. #2298C22semidirect
278. #2295C22semidirect
279. #2293C22semidirect
280. #2293C22semidirect
281. C2×#390C22semidirect
282. C2×#390C22semidirect
283. #2290C22semidirect
284. #2290C22semidirect
285. C2×#388C22semidirect
286. #2285C22semidirect
287. #2285C22semidirect
288. #2283C22semidirect
289. #2283C22semidirect
290. #2280C22semidirect
291. C2×#380C22semidirect
295. C42×D4C22semidirect
296. C4×#117C22semidirect
297. C2×C4×C4⋊C4C22semidirect
298. C2×C4×C22⋊C4C22semidirect
1658. D4#555semidirect

Maximal subgroups

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

subgroupindex
#597672
#596402
#592342
#592332
#592242
#591602
#591352
#590262
#454082
#452082
#439382
#436452
#395052
#395032
#389412
#389382
#382852
#382832
#362732
#362582
#362572
#362032
#361872
D4×C4⋊Q82
D4×#1242
D4×#1212
#359392
#357612
#348002
C2×#24912
#343102
#342612
#341942
C4×#5462
#341272