Finite Group Databasebeta

← #7685842

Subgroups — #7685842

Order 512.

5835 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#59444C211yesmaximal, characteristic, complemented
2#59440C212yesmaximal, complemented
3#59302C211yesmaximal, characteristic, complemented
4#59291C212yesmaximal, complemented
5#59268C214yesmaximal, complemented
6#59235C211yesmaximal, characteristic, complemented
7#59027C212yesmaximal, complemented
8#59014C212yesmaximal, complemented
9#44999C212yesmaximal, complemented
10#44991C212yesmaximal, complemented
11#43266C214yesmaximal, complemented
12#43221C214yesmaximal, complemented
13#38975C211yesmaximal, characteristic, complemented
14#38974C212yesmaximal, complemented
15#38930C211yesmaximal, characteristic, complemented
16#38928C212yesmaximal, complemented
17#38068C212yesmaximal, complemented
18#38064C214yesmaximal, complemented
19#36290C211yesmaximal, characteristic, complemented
20#36236C212yesmaximal
21#36189C211yesmaximal, characteristic, complemented
22#36186C211yesmaximal, characteristic, complemented
23#36163C212yesmaximal, complemented
24#36156C212yesmaximal, complemented
25D4×C22⋊Q8C211yesmaximal, characteristic, complemented
26D4×C22⋊Q8C211yesmaximal, characteristic, complemented
27#35914C212yesmaximal, complemented
28#35858C212yesmaximal, complemented
29#34780C211yesmaximal, characteristic, complemented
30C2×#2417C212yesmaximal, complemented
31#34334C211yesmaximal, characteristic, complemented
32#34194C212yesmaximal, complemented
33#34194C211yesmaximal, characteristic, complemented
34C4×D42C211yesmaximal, characteristic
35C2×D4×C4⋊C4C211yesmaximal, characteristic, complemented
36C2×#552C2212yescomplemented
37C2×#552C2212yescomplemented
38C2×D4×Q8C2211yescharacteristic
39C2×D42C2211yescharacteristic
40C22×C22⋊Q8C2212yescomplemented
41C22×C22⋊Q8C2212yescomplemented
42C22×C4×D4C2211yescharacteristic
43C22×C4×D4C2212yes—
44C22×C4×D4C2211yescharacteristic
45C22×C4×D4C2212yes—
46C23×C4⋊C4C2212yescomplemented
47#2859C2211yescharacteristic, complemented
48#2857C2211yescharacteristic, complemented
49#2857C2211yescharacteristic, complemented
50#2854C2212yes—
51#2851C2212yescomplemented
52#2849C2214yes—
53#2848C2212yescomplemented
54#2848C2212yescomplemented
55#2793C2214yescomplemented
56#2775C2214yescomplemented
57#2774C2214yescomplemented
58#2772C2214yescomplemented
59#2770C2214yescomplemented
60#2768C2214yescomplemented
61#2761C2214yescomplemented
62#2751C2214yescomplemented
63#2750C2214yescomplemented
64#2745C2214yescomplemented
65#2744C2214yescomplemented
66#2743C2214yescomplemented
67#2739C2214yescomplemented
68#2738C2214yescomplemented
69#2707C2214yescomplemented
70#2702C2214yescomplemented
71#2698C2214yescomplemented
72#2695C2214yescomplemented
73#2694C2214yescomplemented
74#2690C2214yescomplemented
75#2687C2214yescomplemented
76#2647C2212yescomplemented
77#2646C2214yescomplemented
78#2644C2212yescomplemented
79#2643C2214yescomplemented
80#2609C2214yescomplemented
81#2601C2214yescomplemented
82#2590C2214yescomplemented
83#2571C2211yescharacteristic, complemented
84#2570C2212yescomplemented
85#2570C2212yescomplemented
86#2569C2214yescomplemented
87#2562C2212yescomplemented
88#2556C2214yescomplemented
89#2552C2212yescomplemented
90#2552C2211yescharacteristic, complemented
91#2542C2211yescharacteristic, complemented
92#2542C2211yescharacteristic, complemented
93#2538C2211yescharacteristic, complemented
94#2538C2211yescharacteristic, complemented
95#2536C2212yescomplemented
96#2536C2212yescomplemented
97#2524C2212yescomplemented
98#2519C2214yescomplemented
99#2515C2212yescomplemented
100#2514C2211yescharacteristic, complemented
101#2512C2212yescomplemented
102#2512C2212yescomplemented
103#2512C2212yescomplemented
104#2511C2212yescomplemented
105#2509C2212yescomplemented
106#2508C2212yescomplemented
107#2508C2211yescharacteristic, complemented
108#2507C2212yescomplemented
109#2507C2212yescomplemented
110#2507C2212yescomplemented
111#2506C2212yescomplemented
112#2505C2214yescomplemented
113#2505C2214yescomplemented
114#2504C2212yes—
115#2503C2212yescomplemented
116#2503C2211yescharacteristic, complemented
117#2499C2212yescomplemented
118#2498C2214yescomplemented
119#2497C2212yescomplemented
120#2497C2212yescomplemented
121#2497C2212yescomplemented
122#2496C2212yescomplemented
123#2495C2211yescharacteristic, complemented
124#2493C2212yescomplemented
125#2489C2212yescomplemented
126#2489C2212yescomplemented
127#2489C2211yescharacteristic, complemented
128#2488C2214yescomplemented
129#2487C2212yes—
130#2486C2211yescharacteristic
131#2486C2212yescomplemented
132#2485C2212yescomplemented
133#2484C2214yescomplemented
134#2481C2214yescomplemented
135#2481C2214yescomplemented
136#2481C2214yescomplemented
137#2481C2214yescomplemented
138#2481C2214yescomplemented
139#2480C2214yescomplemented
140#2480C2214yescomplemented
141#2480C2214yescomplemented
142#2479C2214yescomplemented
143#2477C2214yescomplemented
144#2473C2214yescomplemented
145#2473C2214yescomplemented
146#2473C2214yescomplemented
147#2473C2214yescomplemented
148#2473C2214yescomplemented
149#2468C2214yescomplemented
150#2460C2214yescomplemented
151#2452C2212yescomplemented
152#2452C2212yescomplemented
153#2449C2214yescomplemented
154#2449C2214yescomplemented
155#2445C2212yes—
156#2445C2212yes—
157#2444C2214yes—
158#2444C2214yes—
159#2442C2214yescomplemented
160#2442C2212yescomplemented
161#2442C2211yescharacteristic, complemented
162#2442C2212yescomplemented
163#2442C2212yescomplemented
164#2441C2212yescomplemented
165#2440C2212yescomplemented
166#2440C2212yescomplemented
167#2438C2214yescomplemented
168#2437C2214yescomplemented
169#2437C2214yescomplemented
170#2423C2212yescomplemented
171#2421C2212yescomplemented
172#2420C2212yes—
173#2420C2212yes—
174#2419C2212yes—
175#2419C2214yescomplemented
176#2418C2214yes—
177#2418C2214yes—
178#2417C2212yes—
179#2417C2211yescharacteristic
180#2417C2214yes—
181#2417C2214yescomplemented
182#2417C2212yescomplemented
183#2417C2212yescomplemented
184#2417C2212yescomplemented
185#2417C2212yescomplemented
186#2417C2212yescomplemented
187#2417C2212yescomplemented
188#2417C2212yescomplemented
189#2417C2212yescomplemented
190#2417C2214yescomplemented
191#2417C2214yescomplemented
192#2415C2212yescomplemented
193#2415C2212yescomplemented
194#2413C2214yescomplemented
195#2412C2214yes—
196#2409C2212yescomplemented
197#2409C2212yescomplemented
198#2405C2214yes—
199#2402C2212yescomplemented
200#2401C2212yescomplemented
201C2×#398C2214yescomplemented
202C2×#396C2214yescomplemented
203#2369C2212yescomplemented
204#2368C2214yescomplemented
205#2366C2211yescharacteristic
206#2365C2211yescharacteristic, complemented
207#2362C2212yescomplemented
208#2361C2211yescharacteristic
209#2361C2211yescharacteristic
210#2361C2212yes—
211#2360C2212yescomplemented
212#2360C2212yescomplemented
213#2359C2214yes—
214#2358C2212yes—
215#2358C2212yes—
216#2355C2211yescharacteristic, complemented
217#2354C2211yescharacteristic, complemented
218#2354C2212yescomplemented
219#2354C2211yescharacteristic, complemented
220#2354C2212yescomplemented
221#2352C2212yes—
222#2352C2214yescomplemented
223#2352C2212yescomplemented
224#2352C2212yescomplemented
225#2352C2212yescomplemented
226#2352C2214yescomplemented
227#2349C2212yes—
228#2349C2212yes—
229D4×C4⋊C4C2211yescharacteristic
230D4×C4⋊C4C2212yes—
231D4×C4⋊C4C2212yes—
232D4×C4⋊C4C2212yes—
233D4×C4⋊C4C2211yescharacteristic
234D4×C4⋊C4C2211yescharacteristic
235D4×C4⋊C4C2212yes—
236D4×C4⋊C4C2211yescharacteristic
237D4×C4⋊C4C2211yescharacteristic
238D4×C4⋊C4C2214yescomplemented
239D4×C4⋊C4C2212yescomplemented
240D4×C4⋊C4C2211yescharacteristic, complemented
241D4×C4⋊C4C2212yescomplemented
242D4×C4⋊C4C2211yescharacteristic, complemented
243D4×C4⋊C4C2212yescomplemented
244#2345C2212yescomplemented
245#2345C2212yescomplemented
246#2345C2212yescomplemented
247#2344C2212yescomplemented
248#2342C2214yescomplemented
249#2342C2214yescomplemented
250#2342C2214yescomplemented
251Q8×C22⋊C4C2212yescomplemented
252D4×C22⋊C4C2211yescharacteristic
253D4×C22⋊C4C2212yes—
254D4×C22⋊C4C2212yes—
255D4×C22⋊C4C2212yes—
256D4×C22⋊C4C2211yescharacteristic
257D4×C22⋊C4C2212yes—
258#2331C2212yescomplemented
259#2329C2214yescomplemented
260#2319C2212yescomplemented
261#2319C2212yescomplemented
262#2319C2212yescomplemented
263#2318C2214yescomplemented
264#2318C2214yescomplemented
265#2318C2214yescomplemented
266C4×C4⋊Q8C2211yescharacteristic, complemented
267C4×#127C2211yescharacteristic
268C4×#125C2211yescharacteristic, complemented
269C4×C22⋊Q8C2212yescomplemented
270C4×C22⋊Q8C2211yescharacteristic, complemented
271C4×C22⋊Q8C2211yescharacteristic, complemented
272C4×#123C2212yes—
273C4×#121C2211yescharacteristic
274C4×#121C2212yes—
275C4×#121C2211yescharacteristic
276C4×#120C2212yes—
277C4×#120C2212yes—
278#2295C2211yescharacteristic, complemented
279C2×#391C2212yescomplemented
280C2×#389C2212yescomplemented
281C2×#389C2212yescomplemented
282C2×#386C2214yes—
283C2×#385C2214yescomplemented
284#2285C2212yescomplemented
285#2285C2211yescharacteristic, complemented
286C2×#384C2211yescharacteristic, complemented
287#2283C2211yescharacteristic, complemented
288#2283C2212yescomplemented
289#2280C2212yescomplemented
290#2280C2214yescomplemented
291C2×#380C2212yescomplemented
292C2×#380C2212yescomplemented
293C2×#380C2214yescomplemented
294#2275C2212yes—
295#2275C2212yes—
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C23×Q8C2312yes—
300C23×D4C2311yescharacteristic
301C23×D4C2312yes—
302C23×D4C2311yescharacteristic
303C24×C4C2312yes—
304C24×C4C2312yes—
305C24×C4C2314yes—
306#552—48no—
307#552—48no—
308D4×Q8—28no—
309D42—28no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×#127C2311yescharacteristic
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#125C2314yes—
320C2×#125C2312yes—
321C2×#123C2312yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×C22⋊Q8—48no—
326C2×C22⋊Q8—48no—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×#121C2311yescharacteristic
344C2×#121C2311yescharacteristic
345C2×#121C2312yes—
346C2×#120C2312yes—
347C2×#120C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×D4—216no—
352C2×C4×D4—28no—
353C2×C4×D4—28no—
354C2×C4×D4—48no—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2314yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2314yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2311yescharacteristic
387C2×#117C2314yes—
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2314yes—
391C2×#117C2312yes—
392C2×#117C2314yes—
393C22×C4⋊C4—48no—
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2311yescharacteristic
396C22×C4⋊C4C2312yes—
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2311yescharacteristic
399C22×C4⋊C4C2311yescharacteristic
400C22×C4⋊C4C2311yescharacteristic
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2314yes—
403C22×C4⋊C4C2314yes—
404C22×C4⋊C4C2312yes—
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2314yes—
407C22×C4⋊C4C2314yes—
408C22×C4⋊C4C2312yes—
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2314yes—
411C22×C4⋊C4C2314yes—
412C22×C4⋊C4C2312yes—
413C22×C22⋊C4C2312yes—
414C22×C22⋊C4C2312yes—
415C22×C22⋊C4C2314yes—
416C22×C22⋊C4C2312yes—
417C22×C22⋊C4C2314yes—
418C22×C22⋊C4C2312yes—
419C22×C22⋊C4C2314yes—
420C22×C22⋊C4C2314yes—
421C22×C42C2312yes—
422C22×C42C2311yescharacteristic
423C22×C42C2311yescharacteristic
424C22×C42C2312yes—
425#401C2312yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2312yes—
435#400C2314yes—
436#400C2314yes—
437#400C2312yes—
438#400C2312yes—
439#400C2312yes—
440#400C2312yes—
441#400C2312yes—
442#400C2312yes—
443#400C2314yes—
444#400C2314yes—
445#399C2314yes—
446#399C2314yes—
447#399C2314yes—
448#398C2312yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2312yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2312yes—
465#398C2312yes—
466#398C2314yes—
467#398C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2312yes—
475#397C2312yes—
476#397C2312yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2312yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#395C2314yes—
494#395C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#393C2314yes—
502#393C2314yes—
503#391C2312yes—
504#391C2314yes—
505#391C2314yes—
506#391C2314yes—
507#391C2311yescharacteristic
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2314yes—
513#391C2311yescharacteristic
514#391C2311yescharacteristic
515#391C2311yescharacteristic
516#390C2311yescharacteristic
517#390C2311yescharacteristic
518#390C2312yes—
519#390C2312yes—
520#390C2311yescharacteristic
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2311yescharacteristic
528#390C2312yes—
529#389C2311yescharacteristic
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2312yes—
533#389C2311yescharacteristic
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2311yescharacteristic
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2314yes—
591#388C2312yes—
592#388C2312yes—
593#388C2314yes—
594#387C2312yes—
595#387C2312yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2312yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#386C2312yes—
624#386C2312yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2312yes—
633#386C2312yes—
634#386C2312yes—
635#386C2312yes—
636#386C2312yes—
637#386C2312yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2312yes—
643#386C2312yes—
644#386C2314yes—
645#386C2312yes—
646#386C2314yes—
647#386C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2312yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2312yes—
670#385C2312yes—
671#385C2312yes—
672#385C2312yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2312yes—
678#385C2312yes—
679#385C2312yes—
680#385C2312yes—
681#384C2311yescharacteristic
682#384C2311yescharacteristic
683#384C2312yes—
684#384C2312yes—
685#384C2311yescharacteristic
686#384C2311yescharacteristic
687#384C2312yes—
688#384C2312yes—
689#384C2312yes—
690#384C2312yes—
691#383C2312yes—
692#383C2312yes—
693#383C2312yes—
694#382C2311yescharacteristic
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2312yes—
700#382C2314yes—
701#382C2311yescharacteristic
702#382C2311yescharacteristic
703#382C2312yes—
704#382C2312yes—
705#382C2314yes—
706#381C2314yes—
707#381C2314yes—
708#381C2314yes—
709#381C2314yes—
710#381C2314yes—
711#381C2312yes—
712#381C2312yes—
713#381C2312yes—
714#381C2312yes—
715#380C2311yescharacteristic
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2314yes—
721#380C2314yes—
722#380C2314yes—
723#380C2314yes—
724#380C2314yes—
725#380C2314yes—
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2312yes—
734#380C2311yescharacteristic
735#380C2312yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2312yes—
740#380C2312yes—
741#380C2314yes—
742#380C2314yes—
743#380C2312yes—
744#380C2314yes—
745#380C2314yes—
746#380C2314yes—
747#380C2314yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2311yescharacteristic
752#380C2314yes—
753#380C2312yes—
754#380C2311yescharacteristic
755#379C2314yes—
756#379C2314yes—
757#379C2312yes—
758#379C2312yes—
759#379C2314yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812#376C2312yes—
813#376C2312yes—
814C2×#95C2314yes—
815C2×#95C2314yes—
816C2×#95C2314yes—
817C2×#95C2314yes—
818C2×#95C2314yes—
819C2×#95C2312yes—
820C43C2311yescharacteristic
821C25C2412yes—
822C25C2412yes—
823C22×Q8—28no—
824C22×Q8—44no—
825C22×Q8—44no—
826C22×Q8C2412yes—
827C22×Q8C2411yescharacteristic
828C22×Q8C2414yes—
829C22×D4—24no—
830C22×D4—24no—
831C22×D4—28no—
832C22×D4—24no—
833C22×D4—24no—
834C22×D4—28no—
835C22×D4—24no—
836C22×D4—44no—
837C22×D4#4118yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2411yescharacteristic
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2411yescharacteristic
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2411yescharacteristic
848C23×C4—216no—
849C23×C4—28no—
850C23×C4—28no—
851C23×C4—28no—
852C23×C4—44no—
853C23×C4—48no—
854C23×C4—44no—
855C23×C4—44no—
856C23×C4—84no—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2412yes—
865C23×C4C2414yes—
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2414yes—
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2411yescharacteristic
873C23×C4C2411yescharacteristic
874C23×C4C2414yes—
875C23×C4C2414yes—
876C23×C4C2412yes—
877C23×C4C2414yes—
878C23×C4C2412yes—
879C23×C4C2414yes—
880C23×C4C2412yes—
881C23×C4C2414yes—
882C23×C4C2412yes—
883C4⋊Q8—28no—
884C4⋊Q8—24no—
885#127—24no—
886#126—48no—
887#126—48no—
888#126—84no—
889#125—24no—
890#125—44no—
891#125—48no—
892#125—48no—
893#125—82no—
894#123—28no—
895#123—48no—
896#123—48no—
897#123—84no—
898C22⋊Q8—28no—
899C22⋊Q8—24no—
900C22⋊Q8—28no—
901C22⋊Q8—24no—
902C22⋊Q8—28no—
903C22⋊Q8—216no—
904C22⋊Q8—48no—
905C22⋊Q8—48no—
906C22⋊Q8—48no—
907C22⋊Q8—48no—
908C22⋊Q8—44no—
909C22⋊Q8—44no—
910C22⋊Q8—44no—
911C22⋊Q8—44no—
912C22⋊Q8—44no—
913C22⋊Q8—44no—
914#121—24no—
915#121—28no—
916#121—24no—
917#120—28no—
918#120—28no—
919C4×Q8—24no—
920C4×Q8—44no—
921C4×Q8—44no—
922C4×D4—216no—
923C4×D4—28no—
924C4×D4—28no—
925C4×D4—24no—
926C4×D4—216no—
927C4×D4—28no—
928C4×D4—28no—
929C4×D4—24no—
930C4×D4—24no—
931C4×D4—28no—
932C4×D4—24no—
933C4×D4—28no—
934C4×D4—24no—
935C4×D4—28no—
936C4×D4—28no—
937C4×D4—24no—
938C4×D4—24no—
939C4×D4—28no—
940C4×D4—24no—
941C4×D4—24no—
942C4×D4—28no—
943C4×D4—28no—
944C4×D4—24no—
945C4×D4—24no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4#4118yes—
954#117—48no—
955#117—44no—
956#117—44no—
957#117—48no—
958#117—82no—
959#117—84no—
960C2×C4⋊C4—28no—
961C2×C4⋊C4—24no—
962C2×C4⋊C4—24no—
963C2×C4⋊C4—24no—
964C2×C4⋊C4—24no—
965C2×C4⋊C4—28no—
966C2×C4⋊C4—28no—
967C2×C4⋊C4—44no—
968C2×C4⋊C4—48no—
969C2×C4⋊C4—44no—
970C2×C4⋊C4—48no—
971C2×C4⋊C4—44no—
972C2×C4⋊C4—48no—
973C2×C4⋊C4—44no—
974C2×C4⋊C4—44no—
975C2×C4⋊C4—48no—
976C2×C4⋊C4—48no—
977C2×C4⋊C4—84no—
978C2×C4⋊C4—82no—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C22⋊C4—216no—
1050C2×C22⋊C4—28no—
1051C2×C22⋊C4—28no—
1052C2×C22⋊C4—44no—
1053C2×C22⋊C4—48no—
1054C2×C22⋊C4—44no—
1055C2×C22⋊C4—48no—
1056C2×C22⋊C4—84no—
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2411yescharacteristic
1077C2×C22⋊C4C2411yescharacteristic
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2411yescharacteristic
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2411yescharacteristic
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C42—28no—
1112C2×C42—24no—
1113C2×C42—24no—
1114C2×C42—44no—
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2412yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2412yes—
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2412yes—
1133C2×C42C2414yes—
1134C2×C42C2414yes—
1135C2×C42C2414yes—
1136C2×C42C2414yes—
1137C2×C42C2414yes—
1138C2×C42C2414yes—
1139C2×C42C2412yes—
1140C2×C42C2412yes—
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2411yescharacteristic
1174#95C2411yescharacteristic
1175#95C2411yescharacteristic
1176#95C2412yes—
1177#95C2411yescharacteristic
1178#95C2412yes—
1179#95C2411yescharacteristic
1180#95C2412yes—
1181#95C2411yescharacteristic
1182#95C2412yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213C24—24no—
1214C24—24no—
1215C24—24no—
1216C24—24no—
1217C24—24no—
1218C24—24no—
1219C24—24no—
1220C24—24no—
1221C24—42no—
1222C24—42no—
1223C24—42no—
1224C24—42no—
1225C24—42no—
1226C24C2×#4118yes—
1227C24C2512yes—
1228C24C2512yes—
1229C24C2511yescharacteristic
1230C24C2512yes—
1231C24C2511yescharacteristic
1232C2×Q8—22no—
1233C2×Q8—24no—
1234C2×Q8—28no—
1235C2×Q8—24no—
1236C2×Q8—24no—
1237C2×Q8—22no—
1238C2×Q8—22no—
1239C2×Q8—44no—
1240C2×Q8—44no—
1241C2×Q8—816no—
1242C2×D4—24no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—24no—
1246C2×D4—232no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—24no—
1262C2×D4—22no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—432no—
1268C2×D4—416no—
1269C2×D4C2×#4118yes—
1270C2×D4C2×#4114yes—
1271C2×D4C2×#4114yes—
1272C2×D4C2×#4114yes—
1273C2×D42−1+414yes—
1274C2×D42−1+414yes—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—24no—
1278C22×C4—22no—
1279C22×C4—24no—
1280C22×C4—22no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—28no—
1285C22×C4—28no—
1286C22×C4—24no—
1287C22×C4—24no—
1288C22×C4—24no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—24no—
1292C22×C4—28no—
1293C22×C4—28no—
1294C22×C4—28no—
1295C22×C4—24no—
1296C22×C4—28no—
1297C22×C4—28no—
1298C22×C4—24no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—22no—
1308C22×C4—28no—
1309C22×C4—24no—
1310C22×C4—24no—
1311C22×C4—28no—
1312C22×C4—24no—
1313C22×C4—24no—
1314C22×C4—24no—
1315C22×C4—22no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—22no—
1319C22×C4—24no—
1320C22×C4—22no—
1321C22×C4—24no—
1322C22×C4—24no—
1323C22×C4—42no—
1324C22×C4—42no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—41no—
1328C22×C4—44no—
1329C22×C4—41no—
1330C22×C4—44no—
1331C22×C4—42no—
1332C22×C4—432no—
1333C22×C4—42no—
1334C22×C4—44no—
1335C22×C4—42no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—42no—
1343C22×C4—44no—
1344C22×C4—42no—
1345C22×C4—44no—
1346C22×C4—42no—
1347C22×C4—42no—
1348C22×C4—42no—
1349C22×C4—42no—
1350C22×C4—44no—
1351C22×C4—816no—
1352C22×C4—832no—
1353C22×C4C2×#4114yes—
1354C22×C4C2×#4118yes—
1355C22×C4H(5,𝔽2)14yes—
1356C22×C4C2511yescharacteristic
1357C22×C4C2512yes—
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C22×C4C2512yes—
1361C22×C4C2511yescharacteristic
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2511yescharacteristic
1365C22×C4C2512yes—
1366C22×C4C2512yes—
1367C22×C4C2511yescharacteristic
1368C22×C4C2512yes—
1369C22×C4C2512yes—
1370C22×C4C2512yes—
1371C22×C4C2514yes—
1372C22×C4C2514yes—
1373C22×C4C2514yes—
1374C22×C4C2512yes—
1375C22×C4C2511yescharacteristic
1376C22×C4C2514yes—
1377C22×C4C2512yes—
1378C22×C4C2511yescharacteristic
1379C22×C4C2511yescharacteristic
1380C22×C4C2512yes—
1381C22×C4C2512yes—
1382C22×C4C2511yescharacteristic
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C22×C4C2511yescharacteristic
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—28no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—24no—
1396C4⋊C4—22no—
1397C4⋊C4—24no—
1398C4⋊C4—28no—
1399C4⋊C4—24no—
1400C4⋊C4—24no—
1401C4⋊C4—22no—
1402C4⋊C4—24no—
1403C4⋊C4—28no—
1404C4⋊C4—24no—
1405C4⋊C4—28no—
1406C4⋊C4—22no—
1407C4⋊C4—22no—
1408C4⋊C4—24no—
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—28no—
1414C4⋊C4—24no—
1415C4⋊C4—24no—
1416C4⋊C4—28no—
1417C4⋊C4—22no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—44no—
1426C4⋊C4—44no—
1427C4⋊C4—44no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—44no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—44no—
1438C4⋊C4—42no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—44no—
1443C4⋊C4—44no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4—42no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—42no—
1452C4⋊C4—44no—
1453C4⋊C4—42no—
1454C4⋊C4C2×#4114yes—
1455C4⋊C4H(5,𝔽2)14yes—
1456C22⋊C4—28no—
1457C22⋊C4—28no—
1458C22⋊C4—28no—
1459C22⋊C4—28no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—22no—
1464C22⋊C4—28no—
1465C22⋊C4—24no—
1466C22⋊C4—22no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—28no—
1470C22⋊C4—22no—
1471C22⋊C4—24no—
1472C22⋊C4—28no—
1473C22⋊C4—22no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—22no—
1482C22⋊C4—24no—
1483C22⋊C4—22no—
1484C22⋊C4—24no—
1485C22⋊C4—24no—
1486C22⋊C4—28no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—42no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—42no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—42no—
1504C22⋊C4—44no—
1505C22⋊C4—42no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—42no—
1509C22⋊C4C2×#4118yes—
1510C42—22no—
1511C42—22no—
1512C42—24no—
1513C42—24no—
1514C42—22no—
1515C42—22no—
1516C42—24no—
1517C42—24no—
1518C42—22no—
1519C42—22no—
1520C42—22no—
1521C42—24no—
1522C42—22no—
1523C42—24no—
1524C42—22no—
1525C42—22no—
1526C42—22no—
1527C42—24no—
1528C42—42no—
1529C42—42no—
1530C42—44no—
1531C42—44no—
1532C42—44no—
1533C42—44no—
1534C42—44no—
1535C42—44no—
1536C42—41no—
1537C42C2×#4114yes—
1538C23—21no—
1539C23—21no—
1540C23—22no—
1541C23—22no—
1542C23—22no—
1543C23—21no—
1544C23—21no—
1545C23—22no—
1546C23—22no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—22no—
1552C23—22no—
1553C23—21no—
1554C23—22no—
1555C23—22no—
1556C23—21no—
1557C23—22no—
1558C23—216no—
1559C23—216no—
1560C23—22no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—22no—
1566C23—22no—
1567C23—48no—
1568C23—48no—
1569C23—48no—
1570C23—48no—
1571C23—48no—
1572C23—48no—
1573C23—48no—
1574C23—48no—
1575C23—48no—
1576C23—84no—
1577C23—84no—
1578C23—84no—
1579C23C22×#4114yes—
1580C23C22×#4114yes—
1581C23C22×#4114yes—
1582C23C22×#4112yes—
1583C23C2×H(5,𝔽2)12yes—
1584C23C2×2−1+412yes—
1585C23C2×2−1+414yes—
1586C23C2×2−1+412yes—
1587C23C2611yescharacteristic
1588Q8—48no—
1589Q8—44no—
1590Q8—88no—
1591D4—216no—
1592D4—28no—
1593D4—28no—
1594D4—48no—
1595D4—48no—
1596D4—48no—
1597D4—48no—
1598D4—44no—
1599D4—84no—
1600D4#552116yescomplemented
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—28no—
1614C2×C4—28no—
1615C2×C4—216no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—24no—
1629C2×C4—24no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—24no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—24no—
1642C2×C4—22no—
1643C2×C4—24no—
1644C2×C4—24no—
1645C2×C4—24no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—24no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—24no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—24no—
1675C2×C4—24no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—24no—
1682C2×C4—48no—
1683C2×C4—44no—
1684C2×C4—44no—
1685C2×C4—48no—
1686C2×C4—48no—
1687C2×C4—416no—
1688C2×C4—416no—
1689C2×C4—48no—
1690C2×C4—48no—
1691C2×C4—48no—
1692C2×C4—44no—
1693C2×C4—48no—
1694C2×C4—48no—
1695C2×C4—44no—
1696C2×C4—84no—
1697C2×C4—84no—
1698C2×C4—84no—
1699C2×C4—88no—
1700C2×C4—88no—
1701C2×C4—88no—
1702C2×C4—88no—
1703C2×C4—84no—
1704C2×C4—88no—
1705C2×C4C22×#4112yes—
1706C2×C4C22×#4112yes—
1707C2×C4C22×#4114yes—
1708C2×C4C22×#4112yes—
1709C2×C4C22×#4112yes—
1710C2×C4C22×#4112yes—
1711C2×C4C2×H(5,𝔽2)12yes—
1712C2×C4C2×H(5,𝔽2)14yes—
1713C2×C4C2×H(5,𝔽2)12yes—
1714C2×C4C2×H(5,𝔽2)12yes—
1715C2×C4C2×2−1+412yes—
1716C2×C4C2×2−1+412yes—
1717C22—22no—
1718C22—24no—
1719C22—22no—
1720C22—24no—
1721C22—22no—
1722C22—24no—
1723C22—22no—
1724C22—24no—
1725C22—24no—
1726C22—24no—
1727C22—22no—
1728C22—22no—
1729C22—24no—
1730C22—22no—
1731C22—22no—
1732C22—22no—
1733C22—24no—
1734C22—24no—
1735C22—432no—
1736C22—41no—
1737C22—42no—
1738C22—42no—
1739C22—42no—
1740C22—41no—
1741C22—42no—
1742C22—41no—
1743C22—41no—
1744C22—42no—
1745C22—42no—
1746C22—42no—
1747C22—42no—
1748C22—42no—
1749C22—42no—
1750C22—42no—
1751C22—816no—
1752C22C2×#55218yes—
1753C22#352014yes—
1754C22C23×#4111yescharacteristic
1755C22C23×#4111yescharacteristic
1756C22C22×H(5,𝔽2)11yescharacteristic
1757C22C22×H(5,𝔽2)11yescharacteristic
1758C22C22×2−1+411yescharacteristic
1759C22C22×2−1+411yescharacteristic
1760C22H(7,𝔽2)11yescharacteristic
1761C4—24no—
1762C4—22no—
1763C4—22no—
1764C4—24no—
1765C4—22no—
1766C4—22no—
1767C4—44no—
1768C4—44no—
1769C4—42no—
1770C4—41no—
1771C4—42no—
1772C4—41no—
1773C4—41no—
1774C4—41no—
1775C4—42no—
1776C4—42no—
1777C4—42no—
1778C4—41no—
1779C4—42no—
1780C4—44no—
1781C4—42no—
1782C4—42no—
1783C4—42no—
1784C4—42no—
1785C4—44no—
1786C4—41no—
1787C4—42no—
1788C4—41no—
1789C4C2×#55214yes—
1790C4#351914yes—
1791C2—24no—
1792C2—28no—
1793C2—44no—
1794C2—42no—
1795C2—82no—
1796C2C22×#55211yescharacteristic
1797C2C2×#351911yescharacteristic
1798C2C2×#352011yescharacteristic
1799C2#6294411yescharacteristic
1800C2#6298311yescharacteristic
1801C2#6300011yescharacteristic
1802C2#6301611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×D42C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59444C2semidirect
2. #59440C2semidirect
3. #59302C2semidirect
4. #59291C2semidirect
5. #59268C2semidirect
6. #59235C2semidirect
7. #59027C2semidirect
8. #59014C2semidirect
9. #44999C2semidirect
10. #44991C2semidirect
11. #43266C2semidirect
12. #43221C2semidirect
13. #38975C2semidirect
14. #38974C2semidirect
15. #38930C2semidirect
16. #38928C2semidirect
17. #38068C2semidirect
18. #38064C2semidirect
19. #36290C2semidirect
21. #36189C2semidirect
22. #36186C2semidirect
23. #36163C2semidirect
24. #36156C2semidirect
25. D4×C22⋊Q8C2semidirect
26. D4×C22⋊Q8C2semidirect
27. #35914C2semidirect
28. #35858C2semidirect
29. #34780C2semidirect
30. C2×#2417C2semidirect
31. #34334C2semidirect
32. #34194C2semidirect
33. #34194C2semidirect
35. C2×D4×C4⋊C4C2semidirect
36. C2×#552C22semidirect
37. C2×#552C22semidirect
40. C22×C22⋊Q8C22semidirect
41. C22×C22⋊Q8C22semidirect
46. C23×C4⋊C4C22semidirect
47. #2859C22semidirect
48. #2857C22semidirect
49. #2857C22semidirect
51. #2851C22semidirect
53. #2848C22semidirect
54. #2848C22semidirect
55. #2793C22semidirect
56. #2775C22semidirect
57. #2774C22semidirect
58. #2772C22semidirect
59. #2770C22semidirect
60. #2768C22semidirect
61. #2761C22semidirect
62. #2751C22semidirect
63. #2750C22semidirect
64. #2745C22semidirect
65. #2744C22semidirect
66. #2743C22semidirect
67. #2739C22semidirect
68. #2738C22semidirect
69. #2707C22semidirect
70. #2702C22semidirect
71. #2698C22semidirect
72. #2695C22semidirect
73. #2694C22semidirect
74. #2690C22semidirect
75. #2687C22semidirect
76. #2647C22semidirect
77. #2646C22semidirect
78. #2644C22semidirect
79. #2643C22semidirect
80. #2609C22semidirect
81. #2601C22semidirect
82. #2590C22semidirect
83. #2571C22semidirect
84. #2570C22semidirect
85. #2570C22semidirect
86. #2569C22semidirect
87. #2562C22semidirect
88. #2556C22semidirect
89. #2552C22semidirect
90. #2552C22semidirect
91. #2542C22semidirect
92. #2542C22semidirect
93. #2538C22semidirect
94. #2538C22semidirect
95. #2536C22semidirect
96. #2536C22semidirect
97. #2524C22semidirect
98. #2519C22semidirect
99. #2515C22semidirect
100. #2514C22semidirect
101. #2512C22semidirect
102. #2512C22semidirect
103. #2512C22semidirect
104. #2511C22semidirect
105. #2509C22semidirect
106. #2508C22semidirect
107. #2508C22semidirect
108. #2507C22semidirect
109. #2507C22semidirect
110. #2507C22semidirect
111. #2506C22semidirect
112. #2505C22semidirect
113. #2505C22semidirect
115. #2503C22semidirect
116. #2503C22semidirect
117. #2499C22semidirect
118. #2498C22semidirect
119. #2497C22semidirect
120. #2497C22semidirect
121. #2497C22semidirect
122. #2496C22semidirect
123. #2495C22semidirect
124. #2493C22semidirect
125. #2489C22semidirect
126. #2489C22semidirect
127. #2489C22semidirect
128. #2488C22semidirect
131. #2486C22semidirect
132. #2485C22semidirect
133. #2484C22semidirect
134. #2481C22semidirect
135. #2481C22semidirect
136. #2481C22semidirect
137. #2481C22semidirect
138. #2481C22semidirect
139. #2480C22semidirect
140. #2480C22semidirect
141. #2480C22semidirect
142. #2479C22semidirect
143. #2477C22semidirect
144. #2473C22semidirect
145. #2473C22semidirect
146. #2473C22semidirect
147. #2473C22semidirect
148. #2473C22semidirect
149. #2468C22semidirect
150. #2460C22semidirect
151. #2452C22semidirect
152. #2452C22semidirect
153. #2449C22semidirect
154. #2449C22semidirect
159. #2442C22semidirect
160. #2442C22semidirect
161. #2442C22semidirect
162. #2442C22semidirect
163. #2442C22semidirect
164. #2441C22semidirect
165. #2440C22semidirect
166. #2440C22semidirect
167. #2438C22semidirect
168. #2437C22semidirect
169. #2437C22semidirect
170. #2423C22semidirect
171. #2421C22semidirect
175. #2419C22semidirect
181. #2417C22semidirect
182. #2417C22semidirect
183. #2417C22semidirect
184. #2417C22semidirect
185. #2417C22semidirect
186. #2417C22semidirect
187. #2417C22semidirect
188. #2417C22semidirect
189. #2417C22semidirect
190. #2417C22semidirect
191. #2417C22semidirect
192. #2415C22semidirect
193. #2415C22semidirect
194. #2413C22semidirect
196. #2409C22semidirect
197. #2409C22semidirect
199. #2402C22semidirect
200. #2401C22semidirect
201. C2×#398C22semidirect
202. C2×#396C22semidirect
203. #2369C22semidirect
204. #2368C22semidirect
206. #2365C22semidirect
207. #2362C22semidirect
211. #2360C22semidirect
212. #2360C22semidirect
216. #2355C22semidirect
217. #2354C22semidirect
218. #2354C22semidirect
219. #2354C22semidirect
220. #2354C22semidirect
222. #2352C22semidirect
223. #2352C22semidirect
224. #2352C22semidirect
225. #2352C22semidirect
226. #2352C22semidirect
238. D4×C4⋊C4C22semidirect
239. D4×C4⋊C4C22semidirect
240. D4×C4⋊C4C22semidirect
241. D4×C4⋊C4C22semidirect
242. D4×C4⋊C4C22semidirect
243. D4×C4⋊C4C22semidirect
244. #2345C22semidirect
245. #2345C22semidirect
246. #2345C22semidirect
247. #2344C22semidirect
248. #2342C22semidirect
249. #2342C22semidirect
250. #2342C22semidirect
251. Q8×C22⋊C4C22semidirect
258. #2331C22semidirect
259. #2329C22semidirect
260. #2319C22semidirect
261. #2319C22semidirect
262. #2319C22semidirect
263. #2318C22semidirect
264. #2318C22semidirect
265. #2318C22semidirect
266. C4×C4⋊Q8C22semidirect
268. C4×#125C22semidirect
269. C4×C22⋊Q8C22semidirect
270. C4×C22⋊Q8C22semidirect
271. C4×C22⋊Q8C22semidirect
278. #2295C22semidirect
279. C2×#391C22semidirect
280. C2×#389C22semidirect
281. C2×#389C22semidirect
283. C2×#385C22semidirect
284. #2285C22semidirect
285. #2285C22semidirect
286. C2×#384C22semidirect
287. #2283C22semidirect
288. #2283C22semidirect
289. #2280C22semidirect
290. #2280C22semidirect
291. C2×#380C22semidirect
292. C2×#380C22semidirect
293. C2×#380C22semidirect
298. C2×C4×C4⋊C4C22semidirect
1600. D4#552semidirect

Maximal subgroups

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

subgroupindex
#594442
#594402
#593022
#592912
#592682
#592352
#590272
#590142
#449992
#449912
#432662
#432212
#389752
#389742
#389302
#389282
#380682
#380642
#362902
#362362
#361892
#361862
#361632
#361562
D4×C22⋊Q82
#359142
#358582
#347802
C2×#24172
#343342
#341942
C4×D422
C2×D4×C4⋊C42