Finite Group Databasebeta

← #7685827

Subgroups — #7685827

Order 512.

6057 conjugacy classes of subgroups.

The subgroup lattice has 1836 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59856C212yesmaximal, complemented
2#59823C211yesmaximal, characteristic, complemented
3#59455C212yesmaximal, complemented
4#59320C214yesmaximal, complemented
5#59305C211yesmaximal, characteristic, complemented
6#59230C211yesmaximal, characteristic, complemented
7#59016C212yesmaximal, complemented
8#59016C212yesmaximal, complemented
9#44952C212yesmaximal, complemented
10#44943C212yesmaximal, complemented
11#43555C214yesmaximal, complemented
12#43122C214yesmaximal, complemented
13#39634C211yesmaximal, characteristic, complemented
14#39632C212yesmaximal, complemented
15#39606C211yesmaximal, characteristic, complemented
16#39605C212yesmaximal, complemented
17#38099C212yesmaximal, complemented
18#38096C214yesmaximal, complemented
19#36561C211yesmaximal, characteristic, complemented
20#36546C212yesmaximal, complemented
21#36261C211yesmaximal, characteristic, complemented
22#36189C211yesmaximal, characteristic, complemented
23#36154C212yesmaximal, complemented
24#36154C212yesmaximal, complemented
25D4×C22⋊Q8C211yesmaximal, characteristic, complemented
26D4×C22⋊Q8C211yesmaximal, characteristic, complemented
27#35858C212yesmaximal, complemented
28#35776C212yesmaximal, complemented
29#34772C211yesmaximal, characteristic, complemented
30C2×#2417C212yesmaximal, complemented
31#34334C211yesmaximal, characteristic, complemented
32#34290C212yesmaximal
33#34181C211yesmaximal, characteristic, complemented
34C4×D42C211yesmaximal, characteristic
35C2×D4×C4⋊C4C211yesmaximal, characteristic, complemented
36C2×#554C2212yes—
37C2×#554C2212yescomplemented
38C2×#554C2212yescomplemented
39C2×D4×Q8C2211yescharacteristic
40C2×D42C2211yescharacteristic
41C22×C22⋊Q8C2212yescomplemented
42C22×C22⋊Q8C2212yescomplemented
43C2×#518C2212yes—
44C22×C4×D4C2211yescharacteristic
45C22×C4×D4C2211yescharacteristic
46C22×C4×D4C2212yes—
47C22×C4×D4C2212yes—
48C23×C4⋊C4C2212yescomplemented
49#2859C2211yescharacteristic, complemented
50#2857C2212yescomplemented
51#2857C2212yescomplemented
52#2857C2211yescharacteristic, complemented
53#2857C2211yescharacteristic, complemented
54#2848C2212yescomplemented
55#2848C2214yescomplemented
56#2848C2212yescomplemented
57#2806C2214yescomplemented
58#2804C2214yescomplemented
59#2802C2214yescomplemented
60#2790C2214yescomplemented
61#2788C2214yescomplemented
62#2788C2214yescomplemented
63#2788C2214yescomplemented
64#2784C2214yescomplemented
65#2784C2214yescomplemented
66#2780C2214yescomplemented
67#2780C2214yescomplemented
68#2780C2214yescomplemented
69#2780C2214yescomplemented
70#2768C2214yescomplemented
71#2768C2214yescomplemented
72#2748C2214yescomplemented
73#2732C2214yescomplemented
74#2704C2214yescomplemented
75#2704C2214yescomplemented
76#2692C2214yescomplemented
77#2692C2214yescomplemented
78#2647C2212yescomplemented
79#2646C2214yescomplemented
80#2629C2212yescomplemented
81#2626C2214yescomplemented
82#2587C2214yescomplemented
83#2584C2212yescomplemented
84#2583C2214yescomplemented
85#2583C2214yescomplemented
86#2579C2214yescomplemented
87#2579C2214yescomplemented
88#2579C2214yescomplemented
89#2574C2214yescomplemented
90#2570C2212yescomplemented
91#2569C2214yescomplemented
92#2566C2212yescomplemented
93#2564C2214yescomplemented
94#2563C2212yescomplemented
95#2563C2212yescomplemented
96#2556C2214yescomplemented
97#2552C2212yescomplemented
98#2552C2211yescharacteristic, complemented
99#2551C2211yescharacteristic, complemented
100#2550C2212yescomplemented
101#2549C2214yescomplemented
102#2549C2214yescomplemented
103#2549C2214yescomplemented
104#2542C2211yescharacteristic, complemented
105#2542C2211yescharacteristic, complemented
106#2538C2212yescomplemented
107#2538C2212yescomplemented
108#2538C2212yescomplemented
109#2538C2211yescharacteristic, complemented
110#2538C2212yescomplemented
111#2538C2211yescharacteristic, complemented
112#2522C2212yescomplemented
113#2522C2214yescomplemented
114#2520C2212yescomplemented
115#2511C2212yescomplemented
116#2511C2211yescharacteristic, complemented
117#2508C2212yescomplemented
118#2507C2212yescomplemented
119#2507C2212yescomplemented
120#2507C2212yescomplemented
121#2507C2211yescharacteristic, complemented
122#2506C2212yescomplemented
123#2505C2214yescomplemented
124#2505C2212yescomplemented
125#2502C2211yescharacteristic, complemented
126#2502C2212yescomplemented
127#2502C2212yescomplemented
128#2497C2212yescomplemented
129#2497C2212yescomplemented
130#2497C2211yescharacteristic, complemented
131#2492C2212yescomplemented
132#2492C2211yescharacteristic, complemented
133#2492C2212yescomplemented
134#2487C2211yescharacteristic
135#2487C2212yes—
136#2487C2214yescomplemented
137#2487C2212yescomplemented
138#2487C2212yescomplemented
139#2473C2214yescomplemented
140#2473C2214yescomplemented
141#2473C2214yescomplemented
142#2473C2214yescomplemented
143#2454C2214yescomplemented
144#2454C2212yescomplemented
145#2454C2212yescomplemented
146#2454C2212yescomplemented
147#2454C2214yescomplemented
148#2452C2212yescomplemented
149#2452C2212yescomplemented
150#2452C2212yescomplemented
151#2450C2214yes—
152#2450C2212yes—
153#2450C2214yescomplemented
154#2450C2214yescomplemented
155#2450C2214yescomplemented
156#2450C2214yescomplemented
157#2450C2214yescomplemented
158#2450C2214yescomplemented
159#2449C2214yescomplemented
160#2449C2214yescomplemented
161#2449C2214yescomplemented
162#2449C2214yescomplemented
163#2442C2214yescomplemented
164#2442C2212yescomplemented
165#2442C2212yescomplemented
166#2441C2212yescomplemented
167#2440C2212yescomplemented
168#2440C2212yescomplemented
169#2440C2212yescomplemented
170#2440C2212yescomplemented
171#2440C2211yescharacteristic, complemented
172#2439C2212yescomplemented
173#2437C2214yescomplemented
174#2437C2214yescomplemented
175#2437C2214yescomplemented
176#2437C2214yescomplemented
177#2437C2214yescomplemented
178#2437C2214yescomplemented
179#2423C2212yescomplemented
180#2423C2212yescomplemented
181#2417C2212yes—
182#2417C2211yescharacteristic
183#2417C2214yes—
184#2417C2214yescomplemented
185#2417C2214yescomplemented
186#2417C2214yescomplemented
187#2417C2212yescomplemented
188#2417C2214yescomplemented
189#2417C2212yescomplemented
190#2417C2214yescomplemented
191#2417C2212yescomplemented
192#2417C2212yescomplemented
193#2417C2212yescomplemented
194#2417C2212yescomplemented
195#2417C2212yescomplemented
196#2417C2212yescomplemented
197#2417C2212yescomplemented
198#2417C2212yescomplemented
199#2409C2212yescomplemented
200#2409C2212yescomplemented
201#2402C2212yescomplemented
202#2396C2212yescomplemented
203C2×#398C2214yescomplemented
204C2×#396C2214yescomplemented
205#2369C2212yescomplemented
206#2368C2214yescomplemented
207#2366C2211yescharacteristic
208#2366C2212yes—
209#2365C2211yescharacteristic, complemented
210#2364C2214yes—
211#2363C2212yes—
212#2361C2212yes—
213#2361C2211yescharacteristic
214#2361C2212yes—
215#2361C2211yescharacteristic
216#2360C2212yescomplemented
217#2360C2212yescomplemented
218#2360C2212yescomplemented
219#2358C2212yes—
220#2358C2212yes—
221#2358C2214yes—
222#2358C2214yes—
223#2355C2211yescharacteristic, complemented
224#2352C2212yes—
225#2349C2212yes—
226#2349C2212yes—
227#2349C2212yes—
228#2349C2214yescomplemented
229#2349C2214yescomplemented
230#2349C2212yescomplemented
231D4×C4⋊C4C2211yescharacteristic
232D4×C4⋊C4C2212yes—
233D4×C4⋊C4C2212yes—
234D4×C4⋊C4C2212yes—
235D4×C4⋊C4C2211yescharacteristic
236D4×C4⋊C4C2211yescharacteristic
237D4×C4⋊C4C2211yescharacteristic
238D4×C4⋊C4C2211yescharacteristic
239D4×C4⋊C4C2214yescomplemented
240D4×C4⋊C4C2212yescomplemented
241D4×C4⋊C4C2211yescharacteristic, complemented
242D4×C4⋊C4C2212yescomplemented
243D4×C4⋊C4C2212yescomplemented
244D4×C4⋊C4C2212yescomplemented
245D4×C4⋊C4C2211yescharacteristic, complemented
246D4×C4⋊C4C2212yescomplemented
247D4×C4⋊C4C2211yescharacteristic, complemented
248D4×C4⋊C4C2212yescomplemented
249D4×C4⋊C4C2211yescharacteristic, complemented
250#2345C2212yescomplemented
251#2345C2212yescomplemented
252Q8×C22⋊C4C2212yescomplemented
253D4×C22⋊C4C2211yescharacteristic
254D4×C22⋊C4C2214yes—
255D4×C22⋊C4C2212yes—
256D4×C22⋊C4C2211yescharacteristic
257D4×C22⋊C4C2212yes—
258D4×C22⋊C4C2212yes—
259#2331C2212yescomplemented
260#2329C2214yescomplemented
261#2328C2212yes—
262#2325C2214yes—
263#2324C2212yes—
264#2321C2214yes—
265#2316C2212yescomplemented
266#2315C2214yescomplemented
267C4×C4⋊Q8C2211yescharacteristic, complemented
268C4×C4⋊Q8C2211yescharacteristic, complemented
269C4×#127C2211yescharacteristic
270C4×C22⋊Q8C2212yescomplemented
271C4×C22⋊Q8C2212yescomplemented
272C4×C22⋊Q8C2211yescharacteristic, complemented
273C4×C22⋊Q8C2211yescharacteristic, complemented
274C4×#121C2212yes—
275C4×#121C2211yescharacteristic
276C4×#121C2211yescharacteristic
277C4×#121C2212yes—
278C4×#120C2212yes—
279C4×#120C2212yes—
280C4×#120C2214yes—
281#2295C2211yescharacteristic, complemented
282C2×#391C2212yescomplemented
283C2×#389C2212yescomplemented
284C2×#389C2212yescomplemented
285#2290C2212yes—
286C2×#386C2214yes—
287C2×#385C2214yescomplemented
288#2285C2211yescharacteristic, complemented
289#2285C2211yescharacteristic, complemented
290C2×#384C2211yescharacteristic, complemented
291C2×#380C2212yescomplemented
292C2×#380C2214yescomplemented
293C2×#380C2212yescomplemented
294C2×#380C2212yescomplemented
295#2275C2212yes—
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C23×Q8C2312yes—
300C23×D4C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C23×D4C2312yes—
303C24×C4C2312yes—
304C24×C4C2312yes—
305C24×C4C2314yes—
306#554—48no—
307#554—48no—
308#554—48no—
309D4×Q8—28no—
310D42Q8116yescomplemented
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×#127C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#125C2314yes—
321C2×C22⋊Q8—48no—
322C2×C22⋊Q8—48no—
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×#121C2311yescharacteristic
348C2×#121C2312yes—
349C2×#121C2311yescharacteristic
350C2×#120C2312yes—
351C2×#120C2312yes—
352#518—48no—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×D4—28no—
358C2×C4×D4—28no—
359C2×C4×D4—48no—
360C2×C4×D4—48no—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2311yescharacteristic
400C2×#117C2312yes—
401C2×#117C2312yes—
402C22×C4⋊C4—48no—
403C22×C4⋊C4C2311yescharacteristic
404C22×C4⋊C4C2312yes—
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2311yescharacteristic
407C22×C4⋊C4C2311yescharacteristic
408C22×C4⋊C4C2311yescharacteristic
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2314yes—
411C22×C4⋊C4C2314yes—
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2314yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2312yes—
416C22×C4⋊C4C2314yes—
417C22×C4⋊C4C2314yes—
418C22×C4⋊C4C2312yes—
419C22×C4⋊C4C2312yes—
420C22×C4⋊C4C2312yes—
421C22×C4⋊C4C2312yes—
422C22×C4⋊C4C2312yes—
423C22×C4⋊C4C2314yes—
424C22×C22⋊C4C2312yes—
425C22×C22⋊C4C2312yes—
426C22×C22⋊C4C2314yes—
427C22×C22⋊C4C2314yes—
428C22×C22⋊C4C2312yes—
429C22×C22⋊C4C2314yes—
430C22×C22⋊C4C2312yes—
431C22×C22⋊C4C2314yes—
432C22×C22⋊C4C2314yes—
433C22×C42C2311yescharacteristic
434C22×C42C2311yescharacteristic
435C22×C42C2312yes—
436C22×C42C2312yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2312yes—
442#400C2314yes—
443#400C2314yes—
444#400C2312yes—
445#400C2312yes—
446#400C2312yes—
447#400C2312yes—
448#400C2314yes—
449#399C2314yes—
450#399C2314yes—
451#399C2314yes—
452#399C2312yes—
453#399C2314yes—
454#399C2314yes—
455#399C2314yes—
456#398C2312yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2312yes—
461#398C2312yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2314yes—
471#398C2314yes—
472#398C2314yes—
473#398C2314yes—
474#398C2312yes—
475#398C2314yes—
476#398C2314yes—
477#398C2314yes—
478#398C2312yes—
479#398C2312yes—
480#398C2314yes—
481#398C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2312yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2312yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#395C2314yes—
503#395C2312yes—
504#395C2314yes—
505#395C2314yes—
506#395C2314yes—
507#395C2314yes—
508#393C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2312yes—
513#393C2314yes—
514#393C2314yes—
515#391C2312yes—
516#391C2312yes—
517#391C2314yes—
518#391C2314yes—
519#391C2314yes—
520#391C2314yes—
521#391C2311yescharacteristic
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2314yes—
526#391C2314yes—
527#391C2312yes—
528#391C2314yes—
529#391C2311yescharacteristic
530#391C2311yescharacteristic
531#391C2311yescharacteristic
532#391C2312yes—
533#390C2311yescharacteristic
534#390C2311yescharacteristic
535#390C2312yes—
536#390C2312yes—
537#390C2311yescharacteristic
538#390C2314yes—
539#390C2312yes—
540#390C2311yescharacteristic
541#390C2312yes—
542#390C2314yes—
543#390C2314yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2314yes—
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2314yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2314yes—
588#389C2314yes—
589#389C2311yescharacteristic
590#389C2314yes—
591#389C2312yes—
592#389C2311yescharacteristic
593#389C2314yes—
594#389C2311yescharacteristic
595#388C2312yes—
596#388C2314yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2312yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2312yes—
619#387C2314yes—
620#387C2312yes—
621#387C2314yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#386C2312yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2312yes—
633#386C2312yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2312yes—
643#386C2314yes—
644#386C2312yes—
645#386C2312yes—
646#386C2312yes—
647#386C2312yes—
648#386C2312yes—
649#386C2312yes—
650#386C2314yes—
651#386C2312yes—
652#386C2314yes—
653#386C2312yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2312yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2312yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2312yes—
689#385C2312yes—
690#385C2312yes—
691#385C2312yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2312yes—
698#385C2312yes—
699#385C2312yes—
700#385C2312yes—
701#385C2312yes—
702#385C2312yes—
703#384C2311yescharacteristic
704#384C2311yescharacteristic
705#384C2311yescharacteristic
706#384C2312yes—
707#384C2311yescharacteristic
708#384C2311yescharacteristic
709#384C2312yes—
710#384C2312yes—
711#384C2312yes—
712#384C2311yescharacteristic
713#384C2312yes—
714#384C2311yescharacteristic
715#384C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2314yes—
719#382C2312yes—
720#382C2312yes—
721#380C2311yescharacteristic
722#380C2314yes—
723#380C2314yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2314yes—
729#380C2312yes—
730#380C2314yes—
731#380C2314yes—
732#380C2312yes—
733#380C2312yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#380C2312yes—
738#380C2314yes—
739#380C2314yes—
740#380C2311yescharacteristic
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2311yescharacteristic
745#380C2312yes—
746#380C2311yescharacteristic
747#380C2312yes—
748#380C2314yes—
749#380C2312yes—
750#380C2314yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2314yes—
755#380C2314yes—
756#380C2314yes—
757#380C2314yes—
758#380C2311yescharacteristic
759#380C2312yes—
760#380C2314yes—
761#380C2314yes—
762#380C2314yes—
763#380C2314yes—
764#380C2311yescharacteristic
765#379C2314yes—
766#379C2312yes—
767#379C2314yes—
768#379C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814#376C2312yes—
815C2×#95C2312yes—
816C2×#95C2314yes—
817C2×#95C2314yes—
818C2×#95C2314yes—
819C2×#95C2314yes—
820C2×#95C2314yes—
821C2×#95C2314yes—
822C43C2311yescharacteristic
823C25C2412yes—
824C25C2412yes—
825C22×Q8—28no—
826C22×Q8—44no—
827C22×Q8—44no—
828C22×Q8C2412yes—
829C22×Q8C2411yescharacteristic
830C22×Q8C2412yes—
831C22×Q8C2414yes—
832C22×Q8C2414yes—
833C22×D4—24no—
834C22×D4—24no—
835C22×D4—24no—
836C22×D4—24no—
837C22×D4—44no—
838C22×D4—44no—
839C22×D4C2×Q818yes—
840C22×D4C2×Q818yes—
841C22×D4C2×Q8116yescomplemented
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2411yescharacteristic
846C22×D4C2411yescharacteristic
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2411yescharacteristic
852C23×C4—28no—
853C23×C4—28no—
854C23×C4—28no—
855C23×C4—44no—
856C23×C4—48no—
857C23×C4—44no—
858C23×C4—44no—
859C23×C4—48no—
860C23×C4—48no—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2412yes—
866C23×C4C2414yes—
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2412yes—
870C23×C4C2411yescharacteristic
871C23×C4C2411yescharacteristic
872C23×C4C2412yes—
873C23×C4C2411yescharacteristic
874C23×C4C2414yes—
875C23×C4C2412yes—
876C23×C4C2414yes—
877C23×C4C2412yes—
878C23×C4C2411yescharacteristic
879C23×C4C2414yes—
880C23×C4C2412yes—
881C23×C4C2414yes—
882C23×C4C2412yes—
883C23×C4C2414yes—
884C23×C4C2412yes—
885C23×C4C2414yes—
886C23×C4C2414yes—
887C23×C4C2414yes—
888C23×C4C2412yes—
889C4⋊Q8—28no—
890C4⋊Q8—24no—
891C4⋊Q8—24no—
892C4⋊Q8—44no—
893C4⋊Q8—44no—
894#127C2×Q818yescomplemented
895#125—44no—
896#125—44no—
897#125—48no—
898#125—48no—
899C22⋊Q8—28no—
900C22⋊Q8—24no—
901C22⋊Q8—28no—
902C22⋊Q8—24no—
903C22⋊Q8—28no—
904C22⋊Q8—216no—
905C22⋊Q8—48no—
906C22⋊Q8—44no—
907C22⋊Q8—48no—
908C22⋊Q8—48no—
909C22⋊Q8—48no—
910C22⋊Q8—48no—
911C22⋊Q8—48no—
912C22⋊Q8—48no—
913C22⋊Q8—48no—
914C22⋊Q8—48no—
915C22⋊Q8—48no—
916C22⋊Q8—44no—
917C22⋊Q8—44no—
918C22⋊Q8—44no—
919C22⋊Q8—44no—
920C22⋊Q8—44no—
921C22⋊Q8—44no—
922C22⋊Q8—48no—
923#121C2×Q818yescomplemented
924#121C2×Q818yescomplemented
925#121C2×Q8116yescomplemented
926#120C2×Q8116yescomplemented
927#120C2×Q8116yescomplemented
928C4×Q8—24no—
929C4×Q8—44no—
930C4×Q8—44no—
931C4×Q8—44no—
932C4×D4—24no—
933C4×D4—24no—
934C4×D4—28no—
935C4×D4—28no—
936C4×D4—28no—
937C4×D4—28no—
938C4×D4—24no—
939C4×D4—28no—
940C4×D4—28no—
941C4×D4—24no—
942C4×D4—28no—
943C4×D4—24no—
944C4×D4—24no—
945C4×D4—28no—
946C4×D4—28no—
947C4×D4—24no—
948C4×D4—24no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—48no—
959C4×D4—48no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—48no—
963C4×D4—48no—
964C4×D4—42no—
965C4×D4—48no—
966C4×D4—48no—
967C4×D4—48no—
968C4×D4C2×Q818yes—
969C4×D4C2×Q818yescomplemented
970C4×D4#4118yes—
971#117—44no—
972#117—44no—
973C2×C4⋊C4—24no—
974C2×C4⋊C4—24no—
975C2×C4⋊C4—24no—
976C2×C4⋊C4—24no—
977C2×C4⋊C4—28no—
978C2×C4⋊C4—28no—
979C2×C4⋊C4—44no—
980C2×C4⋊C4—44no—
981C2×C4⋊C4—48no—
982C2×C4⋊C4—48no—
983C2×C4⋊C4—44no—
984C2×C4⋊C4—48no—
985C2×C4⋊C4—44no—
986C2×C4⋊C4—44no—
987C2×C4⋊C4—44no—
988C2×C4⋊C4—48no—
989C2×C4⋊C4—48no—
990C2×C4⋊C4—44no—
991C2×C4⋊C4—44no—
992C2×C4⋊C4—44no—
993C2×C4⋊C4—48no—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C22⋊C4—28no—
1073C2×C22⋊C4—28no—
1074C2×C22⋊C4—44no—
1075C2×C22⋊C4—48no—
1076C2×C22⋊C4—44no—
1077C2×C22⋊C4—48no—
1078C2×C22⋊C4—48no—
1079C2×C22⋊C4—48no—
1080C2×C22⋊C4—48no—
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2411yescharacteristic
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2411yescharacteristic
1129C2×C22⋊C4C2411yescharacteristic
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C42—24no—
1134C2×C42—24no—
1135C2×C42—44no—
1136C2×C42—44no—
1137C2×C42C2412yes—
1138C2×C42C2412yes—
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2412yes—
1151C2×C42C2414yes—
1152C2×C42C2412yes—
1153C2×C42C2412yes—
1154C2×C42C2412yes—
1155C2×C42C2412yes—
1156C2×C42C2414yes—
1157C2×C42C2414yes—
1158C2×C42C2411yescharacteristic
1159C2×C42C2414yes—
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2411yescharacteristic
1194#95C2411yescharacteristic
1195#95C2412yes—
1196#95C2411yescharacteristic
1197#95C2411yescharacteristic
1198#95C2412yes—
1199#95C2412yes—
1200#95C2411yescharacteristic
1201#95C2411yescharacteristic
1202#95C2412yes—
1203#95C2412yes—
1204#95C2414yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2414yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225C24—24no—
1226C24—24no—
1227C24—24no—
1228C24—24no—
1229C24—24no—
1230C24—24no—
1231C24—42no—
1232C24—42no—
1233C24—42no—
1234C24—42no—
1235C24—42no—
1236C24—42no—
1237C24C22×Q818yes—
1238C24C22×Q818yes—
1239C24C2511yescharacteristic
1240C24C2512yes—
1241C24C2512yes—
1242C24C2512yes—
1243C24C2511yescharacteristic
1244C2×Q8—22no—
1245C2×Q8—24no—
1246C2×Q8—28no—
1247C2×Q8—24no—
1248C2×Q8—24no—
1249C2×Q8—22no—
1250C2×Q8—22no—
1251C2×Q8—24no—
1252C2×Q8—42no—
1253C2×Q8—44no—
1254C2×Q8—44no—
1255C2×Q8—42no—
1256C2×Q8—44no—
1257C2×Q8—44no—
1258C2×Q8—44no—
1259C2×Q8—816no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—22no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—22no—
1268C2×D4—232no—
1269C2×D4—232no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—432no—
1281C2×D4C22×Q814yes—
1282C2×D4C22×Q818yes—
1283C2×D4C22×Q818yes—
1284C2×D4C22×Q818yes—
1285C2×D4C22×Q814yes—
1286C2×D4C22×Q814yes—
1287C2×D4C22×Q818yes—
1288C2×D4C22×Q818yes—
1289C2×D4C22×Q818yes—
1290C2×D4C22×Q814yes—
1291C2×D4C2×#4114yes—
1292C2×D4H(5,𝔽2)14yes—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—24no—
1298C22×C4—22no—
1299C22×C4—24no—
1300C22×C4—22no—
1301C22×C4—24no—
1302C22×C4—28no—
1303C22×C4—24no—
1304C22×C4—22no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—28no—
1308C22×C4—28no—
1309C22×C4—28no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—28no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—24no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—28no—
1320C22×C4—24no—
1321C22×C4—24no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—24no—
1325C22×C4—22no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—24no—
1331C22×C4—24no—
1332C22×C4—28no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—44no—
1339C22×C4—41no—
1340C22×C4—42no—
1341C22×C4—432no—
1342C22×C4—42no—
1343C22×C4—42no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4—42no—
1347C22×C4—44no—
1348C22×C4—44no—
1349C22×C4—44no—
1350C22×C4—44no—
1351C22×C4—44no—
1352C22×C4—42no—
1353C22×C4—44no—
1354C22×C4—42no—
1355C22×C4—42no—
1356C22×C4—44no—
1357C22×C4—41no—
1358C22×C4—42no—
1359C22×C4—42no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4—41no—
1364C22×C4—42no—
1365C22×C4—44no—
1366C22×C4—42no—
1367C22×C4—44no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4—816no—
1374C22×C4—832no—
1375C22×C4C22×Q814yes—
1376C22×C4C22×Q814yes—
1377C22×C4C22×Q818yes—
1378C22×C4C2×#4118yes—
1379C22×C4H(5,𝔽2)14yes—
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C22×C4C2512yes—
1383C22×C4C2511yescharacteristic
1384C22×C4C2512yes—
1385C22×C4C2512yes—
1386C22×C4C2512yes—
1387C22×C4C2514yes—
1388C22×C4C2512yes—
1389C22×C4C2512yes—
1390C22×C4C2514yes—
1391C22×C4C2511yescharacteristic
1392C22×C4C2514yes—
1393C22×C4C2512yes—
1394C22×C4C2512yes—
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2514yes—
1398C22×C4C2511yescharacteristic
1399C22×C4C2511yescharacteristic
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C22×C4C2511yescharacteristic
1403C22×C4C2512yes—
1404C22×C4C2511yescharacteristic
1405C22×C4C2512yes—
1406C22×C4C2512yes—
1407C22×C4C2511yescharacteristic
1408C22×C4C2511yescharacteristic
1409C22×C4C2511yescharacteristic
1410C4⋊C4—24no—
1411C4⋊C4—24no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—24no—
1415C4⋊C4—22no—
1416C4⋊C4—24no—
1417C4⋊C4—28no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—22no—
1421C4⋊C4—24no—
1422C4⋊C4—22no—
1423C4⋊C4—28no—
1424C4⋊C4—24no—
1425C4⋊C4—28no—
1426C4⋊C4—24no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—22no—
1430C4⋊C4—24no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—22no—
1434C4⋊C4—24no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—28no—
1438C4⋊C4—28no—
1439C4⋊C4—24no—
1440C4⋊C4—22no—
1441C4⋊C4—24no—
1442C4⋊C4—44no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4—42no—
1446C4⋊C4—42no—
1447C4⋊C4—42no—
1448C4⋊C4—44no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—44no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4—42no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—42no—
1466C4⋊C4—42no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C4⋊C4—44no—
1470C4⋊C4—41no—
1471C4⋊C4—42no—
1472C4⋊C4—44no—
1473C4⋊C4—42no—
1474C4⋊C4—42no—
1475C4⋊C4—44no—
1476C4⋊C4—44no—
1477C4⋊C4—42no—
1478C4⋊C4—42no—
1479C4⋊C4—42no—
1480C4⋊C4—44no—
1481C4⋊C4—44no—
1482C4⋊C4—44no—
1483C4⋊C4—44no—
1484C4⋊C4C22×Q814yes—
1485C4⋊C4C22×Q814yes—
1486C4⋊C4C2×#4114yes—
1487C4⋊C4H(5,𝔽2)14yes—
1488C22⋊C4—24no—
1489C22⋊C4—24no—
1490C22⋊C4—28no—
1491C22⋊C4—22no—
1492C22⋊C4—28no—
1493C22⋊C4—24no—
1494C22⋊C4—28no—
1495C22⋊C4—24no—
1496C22⋊C4—28no—
1497C22⋊C4—28no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—22no—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—22no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—28no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—44no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—42no—
1526C22⋊C4—42no—
1527C22⋊C4—42no—
1528C22⋊C4—44no—
1529C22⋊C4—41no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4C22×Q818yes—
1535C22⋊C4C22×Q814yes—
1536C22⋊C4C22×Q814yes—
1537C22⋊C4C22×Q818yes—
1538C22⋊C4C22×Q818yes—
1539C22⋊C4C2×#4118yes—
1540C42—22no—
1541C42—22no—
1542C42—22no—
1543C42—22no—
1544C42—22no—
1545C42—22no—
1546C42—24no—
1547C42—22no—
1548C42—24no—
1549C42—24no—
1550C42—24no—
1551C42—24no—
1552C42—22no—
1553C42—22no—
1554C42—42no—
1555C42—42no—
1556C42—42no—
1557C42—42no—
1558C42—41no—
1559C42—44no—
1560C42—44no—
1561C42—41no—
1562C42—44no—
1563C42—44no—
1564C42C22×Q814yes—
1565C42C2×#4114yes—
1566C23—21no—
1567C23—21no—
1568C23—22no—
1569C23—22no—
1570C23—21no—
1571C23—22no—
1572C23—21no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—21no—
1577C23—21no—
1578C23—22no—
1579C23—22no—
1580C23—21no—
1581C23—21no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—22no—
1587C23—21no—
1588C23—22no—
1589C23—22no—
1590C23—21no—
1591C23—22no—
1592C23—216no—
1593C23—216no—
1594C23—216no—
1595C23—48no—
1596C23—48no—
1597C23—48no—
1598C23—48no—
1599C23—48no—
1600C23—48no—
1601C23—48no—
1602C23—84no—
1603C23—84no—
1604C23—84no—
1605C23—84no—
1606C23C23×Q812yes—
1607C23C23×Q814yes—
1608C23C23×Q814yes—
1609C23C23×Q814yes—
1610C23C23×Q812yes—
1611C23C22×#4114yes—
1612C23C2×H(5,𝔽2)14yes—
1613C23C2×H(5,𝔽2)12yes—
1614C23#58512yes—
1615C23C2611yescharacteristic
1616Q8—48no—
1617Q8—44no—
1618Q8—84no—
1619Q8—88no—
1620Q8—164no—
1621D4—216no—
1622D4—216no—
1623D4—28no—
1624D4—216no—
1625D4—28no—
1626D4—28no—
1627D4—48no—
1628D4—48no—
1629D4—48no—
1630D4#554116yescomplemented
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—28no—
1650C2×C4—28no—
1651C2×C4—28no—
1652C2×C4—216no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—24no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—24no—
1673C2×C4—24no—
1674C2×C4—24no—
1675C2×C4—24no—
1676C2×C4—24no—
1677C2×C4—22no—
1678C2×C4—21no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—24no—
1682C2×C4—24no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—24no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—21no—
1695C2×C4—24no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—21no—
1699C2×C4—24no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—24no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—48no—
1711C2×C4—48no—
1712C2×C4—44no—
1713C2×C4—48no—
1714C2×C4—48no—
1715C2×C4—416no—
1716C2×C4—48no—
1717C2×C4—48no—
1718C2×C4—48no—
1719C2×C4—44no—
1720C2×C4—82no—
1721C2×C4—88no—
1722C2×C4—84no—
1723C2×C4—84no—
1724C2×C4—88no—
1725C2×C4—84no—
1726C2×C4—84no—
1727C2×C4—88no—
1728C2×C4—88no—
1729C2×C4—84no—
1730C2×C4—88no—
1731C2×C4—88no—
1732C2×C4—164no—
1733C2×C4—164no—
1734C2×C4C23×Q812yes—
1735C2×C4C23×Q812yes—
1736C2×C4C23×Q814yes—
1737C2×C4C23×Q812yes—
1738C2×C4C23×Q812yes—
1739C2×C4C23×Q812yes—
1740C2×C4C22×#4112yes—
1741C2×C4C22×#4114yes—
1742C2×C4C22×#4112yes—
1743C2×C4C22×#4112yes—
1744C2×C4C2×H(5,𝔽2)12yes—
1745C2×C4C2×H(5,𝔽2)14yes—
1746C2×C4C2×H(5,𝔽2)12yes—
1747C2×C4C2×H(5,𝔽2)12yes—
1748C2×C4C2×H(5,𝔽2)12yes—
1749C22—22no—
1750C22—24no—
1751C22—22no—
1752C22—24no—
1753C22—22no—
1754C22—24no—
1755C22—24no—
1756C22—22no—
1757C22—24no—
1758C22—24no—
1759C22—22no—
1760C22—22no—
1761C22—24no—
1762C22—24no—
1763C22—22no—
1764C22—22no—
1765C22—24no—
1766C22—24no—
1767C22—22no—
1768C22—24no—
1769C22—24no—
1770C22—432no—
1771C22—41no—
1772C22—42no—
1773C22—42no—
1774C22—42no—
1775C22—42no—
1776C22—41no—
1777C22—42no—
1778C22—41no—
1779C22—42no—
1780C22—42no—
1781C22—42no—
1782C22—41no—
1783C22—816no—
1784C22C2×#55418yes—
1785C22#350114yes—
1786C22C24×Q811yescharacteristic
1787C22C23×#4111yescharacteristic
1788C22C22×H(5,𝔽2)11yescharacteristic
1789C22C22×H(5,𝔽2)11yescharacteristic
1790C22C22×H(5,𝔽2)11yescharacteristic
1791C22C2×#58511yescharacteristic
1792C222−1+611yescharacteristic
1793C4—22no—
1794C4—22no—
1795C4—24no—
1796C4—22no—
1797C4—24no—
1798C4—22no—
1799C4—24no—
1800C4—22no—
1801C4—22no—
1802C4—42no—
1803C4—41no—
1804C4—41no—
1805C4—44no—
1806C4—42no—
1807C4—44no—
1808C4—42no—
1809C4—41no—
1810C4—42no—
1811C4—42no—
1812C4—41no—
1813C4—42no—
1814C4—44no—
1815C4—41no—
1816C4—42no—
1817C4—42no—
1818C4—44no—
1819C4—42no—
1820C4—42no—
1821C4C2×#55414yes—
1822C4#351914yes—
1823C2—24no—
1824C2—28no—
1825C2—44no—
1826C2—44no—
1827C2—42no—
1828C2C22×#55411yescharacteristic
1829C2C2×#350111yescharacteristic
1830C2C2×#351911yescharacteristic
1831C2#6291411yescharacteristic
1832C2Q8×H(5,𝔽2)11yescharacteristic
1833C2#6299311yescharacteristic
1834C2#6301211yescharacteristic
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. #59856C2semidirect
2. #59823C2semidirect
3. #59455C2semidirect
4. #59320C2semidirect
5. #59305C2semidirect
6. #59230C2semidirect
7. #59016C2semidirect
8. #59016C2semidirect
9. #44952C2semidirect
10. #44943C2semidirect
11. #43555C2semidirect
12. #43122C2semidirect
13. #39634C2semidirect
14. #39632C2semidirect
15. #39606C2semidirect
16. #39605C2semidirect
17. #38099C2semidirect
18. #38096C2semidirect
19. #36561C2semidirect
20. #36546C2semidirect
21. #36261C2semidirect
22. #36189C2semidirect
23. #36154C2semidirect
24. #36154C2semidirect
25. D4×C22⋊Q8C2semidirect
26. D4×C22⋊Q8C2semidirect
27. #35858C2semidirect
28. #35776C2semidirect
29. #34772C2semidirect
30. C2×#2417C2semidirect
31. #34334C2semidirect
33. #34181C2semidirect
35. C2×D4×C4⋊C4C2semidirect
37. C2×#554C22semidirect
38. C2×#554C22semidirect
41. C22×C22⋊Q8C22semidirect
42. C22×C22⋊Q8C22semidirect
48. C23×C4⋊C4C22semidirect
49. #2859C22semidirect
50. #2857C22semidirect
51. #2857C22semidirect
52. #2857C22semidirect
53. #2857C22semidirect
54. #2848C22semidirect
55. #2848C22semidirect
56. #2848C22semidirect
57. #2806C22semidirect
58. #2804C22semidirect
59. #2802C22semidirect
60. #2790C22semidirect
61. #2788C22semidirect
62. #2788C22semidirect
63. #2788C22semidirect
64. #2784C22semidirect
65. #2784C22semidirect
66. #2780C22semidirect
67. #2780C22semidirect
68. #2780C22semidirect
69. #2780C22semidirect
70. #2768C22semidirect
71. #2768C22semidirect
72. #2748C22semidirect
73. #2732C22semidirect
74. #2704C22semidirect
75. #2704C22semidirect
76. #2692C22semidirect
77. #2692C22semidirect
78. #2647C22semidirect
79. #2646C22semidirect
80. #2629C22semidirect
81. #2626C22semidirect
82. #2587C22semidirect
83. #2584C22semidirect
84. #2583C22semidirect
85. #2583C22semidirect
86. #2579C22semidirect
87. #2579C22semidirect
88. #2579C22semidirect
89. #2574C22semidirect
90. #2570C22semidirect
91. #2569C22semidirect
92. #2566C22semidirect
93. #2564C22semidirect
94. #2563C22semidirect
95. #2563C22semidirect
96. #2556C22semidirect
97. #2552C22semidirect
98. #2552C22semidirect
99. #2551C22semidirect
100. #2550C22semidirect
101. #2549C22semidirect
102. #2549C22semidirect
103. #2549C22semidirect
104. #2542C22semidirect
105. #2542C22semidirect
106. #2538C22semidirect
107. #2538C22semidirect
108. #2538C22semidirect
109. #2538C22semidirect
110. #2538C22semidirect
111. #2538C22semidirect
112. #2522C22semidirect
113. #2522C22semidirect
114. #2520C22semidirect
115. #2511C22semidirect
116. #2511C22semidirect
117. #2508C22semidirect
118. #2507C22semidirect
119. #2507C22semidirect
120. #2507C22semidirect
121. #2507C22semidirect
122. #2506C22semidirect
123. #2505C22semidirect
124. #2505C22semidirect
125. #2502C22semidirect
126. #2502C22semidirect
127. #2502C22semidirect
128. #2497C22semidirect
129. #2497C22semidirect
130. #2497C22semidirect
131. #2492C22semidirect
132. #2492C22semidirect
133. #2492C22semidirect
136. #2487C22semidirect
137. #2487C22semidirect
138. #2487C22semidirect
139. #2473C22semidirect
140. #2473C22semidirect
141. #2473C22semidirect
142. #2473C22semidirect
143. #2454C22semidirect
144. #2454C22semidirect
145. #2454C22semidirect
146. #2454C22semidirect
147. #2454C22semidirect
148. #2452C22semidirect
149. #2452C22semidirect
150. #2452C22semidirect
153. #2450C22semidirect
154. #2450C22semidirect
155. #2450C22semidirect
156. #2450C22semidirect
157. #2450C22semidirect
158. #2450C22semidirect
159. #2449C22semidirect
160. #2449C22semidirect
161. #2449C22semidirect
162. #2449C22semidirect
163. #2442C22semidirect
164. #2442C22semidirect
165. #2442C22semidirect
166. #2441C22semidirect
167. #2440C22semidirect
168. #2440C22semidirect
169. #2440C22semidirect
170. #2440C22semidirect
171. #2440C22semidirect
172. #2439C22semidirect
173. #2437C22semidirect
174. #2437C22semidirect
175. #2437C22semidirect
176. #2437C22semidirect
177. #2437C22semidirect
178. #2437C22semidirect
179. #2423C22semidirect
180. #2423C22semidirect
184. #2417C22semidirect
185. #2417C22semidirect
186. #2417C22semidirect
187. #2417C22semidirect
188. #2417C22semidirect
189. #2417C22semidirect
190. #2417C22semidirect
191. #2417C22semidirect
192. #2417C22semidirect
193. #2417C22semidirect
194. #2417C22semidirect
195. #2417C22semidirect
196. #2417C22semidirect
197. #2417C22semidirect
198. #2417C22semidirect
199. #2409C22semidirect
200. #2409C22semidirect
201. #2402C22semidirect
202. #2396C22semidirect
203. C2×#398C22semidirect
204. C2×#396C22semidirect
205. #2369C22semidirect
206. #2368C22semidirect
209. #2365C22semidirect
216. #2360C22semidirect
217. #2360C22semidirect
218. #2360C22semidirect
223. #2355C22semidirect
228. #2349C22semidirect
229. #2349C22semidirect
230. #2349C22semidirect
239. D4×C4⋊C4C22semidirect
240. D4×C4⋊C4C22semidirect
241. D4×C4⋊C4C22semidirect
242. D4×C4⋊C4C22semidirect
243. D4×C4⋊C4C22semidirect
244. D4×C4⋊C4C22semidirect
245. D4×C4⋊C4C22semidirect
246. D4×C4⋊C4C22semidirect
247. D4×C4⋊C4C22semidirect
248. D4×C4⋊C4C22semidirect
249. D4×C4⋊C4C22semidirect
250. #2345C22semidirect
251. #2345C22semidirect
252. Q8×C22⋊C4C22semidirect
259. #2331C22semidirect
260. #2329C22semidirect
265. #2316C22semidirect
266. #2315C22semidirect
267. C4×C4⋊Q8C22semidirect
268. C4×C4⋊Q8C22semidirect
270. C4×C22⋊Q8C22semidirect
271. C4×C22⋊Q8C22semidirect
272. C4×C22⋊Q8C22semidirect
273. C4×C22⋊Q8C22semidirect
281. #2295C22semidirect
282. C2×#391C22semidirect
283. C2×#389C22semidirect
284. C2×#389C22semidirect
287. C2×#385C22semidirect
288. #2285C22semidirect
289. #2285C22semidirect
290. C2×#384C22semidirect
291. C2×#380C22semidirect
292. C2×#380C22semidirect
293. C2×#380C22semidirect
294. C2×#380C22semidirect
298. C2×C4×C4⋊C4C22semidirect
310. D42Q8semidirect
841. C22×D4C2×Q8semidirect
894. #127C2×Q8semidirect
923. #121C2×Q8semidirect
924. #121C2×Q8semidirect
925. #121C2×Q8semidirect
926. #120C2×Q8semidirect
927. #120C2×Q8semidirect
969. C4×D4C2×Q8semidirect
1630. D4#554semidirect

Maximal subgroups

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

subgroupindex
#598562
#598232
#594552
#593202
#593052
#592302
#590162
#449522
#449432
#435552
#431222
#396342
#396322
#396062
#396052
#380992
#380962
#365612
#365462
#362612
#361892
#361542
D4×C22⋊Q82
#358582
#357762
#347722
C2×#24172
#343342
#342902
#341812
C4×D422
C2×D4×C4⋊C42