Finite Group Databasebeta

← #7681456

Subgroups — #7681456

Order 512.

7572 conjugacy classes of subgroups.

The subgroup lattice has 2075 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3495C211yesmaximal, characteristic, complemented
2C2×#3494C211yesmaximal, characteristic, complemented
3#59824C212yesmaximal, complemented
4#59824C212yesmaximal, complemented
5#59819C214yesmaximal, complemented
6#59807C214yesmaximal, complemented
7#59652C212yesmaximal, complemented
8#59410C212yesmaximal, complemented
9#45388C212yesmaximal, complemented
10#45356C212yesmaximal, complemented
11#44980C212yesmaximal, complemented
12#44980C212yesmaximal, complemented
13#43528C214yesmaximal, complemented
14#43099C214yesmaximal, complemented
15#39382C212yesmaximal, complemented
16#39381C212yesmaximal, complemented
17#37775C212yesmaximal, complemented
18#37774C212yesmaximal, complemented
19#37773C212yesmaximal, complemented
20#37772C212yesmaximal, complemented
21#36150C212yesmaximal, complemented
22#36136C212yesmaximal, complemented
23#35661C211yesmaximal, characteristic, complemented
24#35633C211yesmaximal, characteristic, complemented
25#35563C211yesmaximal, characteristic, complemented
26#35514C211yesmaximal, characteristic, complemented
27#35329C211yesmaximal, characteristic, complemented
28#35306C211yesmaximal, characteristic, complemented
29#35252C211yesmaximal, characteristic, complemented
30#34936C211yesmaximal, characteristic, complemented
31C2×#2540C211yesmaximal, characteristic, complemented
32#34211C211yesmaximal, characteristic, complemented
33#34206C211yesmaximal, characteristic, complemented
34D4×#117C211yesmaximal, characteristic, complemented
35C4×#544C211yesmaximal, characteristic, complemented
36#3495—216no—
37#3494—216no—
38C2×#556C2212yescomplemented
39C2×#555C2212yescomplemented
40C2×#554C2212yescomplemented
41C2×#553C2212yescomplemented
42C2×#553C2212yescomplemented
43C2×#552C2214yes—
44C2×#552C2212yescomplemented
45C2×#552C2212yescomplemented
46C2×#551C2214yes—
47C2×#551C2214yes—
48C2×#547C2212yescomplemented
49C2×#546C2214yes—
50C2×#544C2211yescharacteristic
51C2×#542C2212yescomplemented
52C2×#542C2212yescomplemented
53C2×#541C2212yescomplemented
54C2×#540C2212yescomplemented
55C2×#536C2211yescharacteristic
56C2×#536C2211yescharacteristic
57C2×#535C2211yescharacteristic
58C2×#535C2211yescharacteristic
59C2×#533C2212yescomplemented
60C2×#532C2211yescharacteristic
61C2×#532C2212yescomplemented
62C2×#529C2212yescomplemented
63C2×#529C2212yescomplemented
64C22×#124C2211yescharacteristic
65C2×#525C2211yescharacteristic
66C2×#525C2211yescharacteristic
67C2×#525C2211yescharacteristic
68C2×#525C2211yescharacteristic
69C22×C22⋊Q8C2211yescharacteristic
70C22×C22⋊Q8C2211yescharacteristic
71C22×#121C2211yescharacteristic
72C22×#121C2211yescharacteristic
73C2×#520C2211yescharacteristic
74C2×#520C2211yescharacteristic
75C2×#519C2211yescharacteristic
76C2×#518C2211yescharacteristic
77C22×C4×D4C2211yescharacteristic
78C22×#117C2211yescharacteristic
79C22×#117C2211yescharacteristic
80#2858C2212yescomplemented
81#2858C2212yescomplemented
82#2857C2212yescomplemented
83#2856C2212yescomplemented
84#2850C2212yescomplemented
85#2850C2212yescomplemented
86#2733C2214yescomplemented
87#2733C2214yescomplemented
88#2732C2214yescomplemented
89#2732C2214yescomplemented
90#2730C2214yescomplemented
91#2730C2214yescomplemented
92#2727C2214yescomplemented
93#2727C2214yescomplemented
94#2721C2214yescomplemented
95#2721C2214yescomplemented
96#2714C2214yescomplemented
97#2714C2214yescomplemented
98#2714C2214yescomplemented
99#2714C2214yescomplemented
100#2705C2214yescomplemented
101#2705C2214yescomplemented
102#2694C2214yescomplemented
103#2694C2214yescomplemented
104#2694C2214yescomplemented
105#2694C2214yescomplemented
106#2682C2214yescomplemented
107#2682C2214yescomplemented
108#2673C2214yescomplemented
109#2673C2214yescomplemented
110#2658C2212yescomplemented
111#2657C2212yescomplemented
112#2621C2212yescomplemented
113#2620C2212yescomplemented
114#2620C2212yescomplemented
115#2619C2212yescomplemented
116#2554C2214yescomplemented
117#2554C2214yescomplemented
118#2554C2214yescomplemented
119#2554C2214yescomplemented
120#2554C2214yescomplemented
121#2554C2214yescomplemented
122#2542C2211yescharacteristic, complemented
123#2542C2211yescharacteristic, complemented
124#2541C2211yescharacteristic, complemented
125#2541C2211yescharacteristic, complemented
126#2540C2212yes—
127#2540C2212yes—
128#2540C2212yes—
129#2540C2212yes—
130#2540C2212yes—
131#2540C2212yes—
132#2540C2212yes—
133#2540C2212yes—
134#2540C2212yescomplemented
135#2540C2212yescomplemented
136#2540C2212yescomplemented
137#2540C2212yescomplemented
138#2540C2211yescharacteristic, complemented
139#2540C2211yescharacteristic, complemented
140#2540C2211yescharacteristic, complemented
141#2540C2211yescharacteristic, complemented
142#2539C2214yes—
143#2539C2214yes—
144#2539C2212yes—
145#2539C2212yes—
146#2538C2212yescomplemented
147#2538C2212yescomplemented
148#2537C2212yescomplemented
149#2537C2212yescomplemented
150#2536C2212yescomplemented
151#2536C2212yescomplemented
152#2535C2212yescomplemented
153#2535C2212yescomplemented
154#2534C2214yes—
155#2534C2214yes—
156#2501C2212yes—
157#2490C2214yescomplemented
158#2490C2214yescomplemented
159#2490C2214yescomplemented
160#2486C2214yes—
161#2479C2214yescomplemented
162#2479C2214yescomplemented
163#2479C2214yescomplemented
164#2479C2214yescomplemented
165#2471C2214yescomplemented
166#2471C2214yescomplemented
167#2467C2214yescomplemented
168#2467C2214yescomplemented
169#2456C2214yescomplemented
170#2456C2214yescomplemented
171#2456C2214yescomplemented
172#2456C2214yescomplemented
173#2454C2214yescomplemented
174#2454C2214yescomplemented
175#2448C2214yescomplemented
176#2448C2214yescomplemented
177#2441C2214yescomplemented
178#2433C2212yes—
179#2431C2214yescomplemented
180#2429C2212yescomplemented
181#2429C2212yescomplemented
182#2429C2212yescomplemented
183#2429C2212yescomplemented
184#2428C2214yescomplemented
185#2428C2212yescomplemented
186#2428C2212yescomplemented
187#2428C2212yescomplemented
188#2428C2212yescomplemented
189#2427C2212yescomplemented
190#2427C2212yescomplemented
191#2427C2212yescomplemented
192#2427C2212yescomplemented
193#2426C2214yescomplemented
194#2426C2214yescomplemented
195#2426C2214yescomplemented
196#2426C2212yescomplemented
197#2426C2212yescomplemented
198#2426C2212yescomplemented
199#2426C2212yescomplemented
200#2423C2214yescomplemented
201#2417C2212yescomplemented
202#2417C2212yescomplemented
203#2417C2212yescomplemented
204#2417C2212yescomplemented
205#2416C2212yescomplemented
206#2416C2212yescomplemented
207#2416C2212yescomplemented
208#2416C2212yescomplemented
209#2415C2212yescomplemented
210#2415C2212yescomplemented
211#2415C2212yescomplemented
212#2415C2212yescomplemented
213#2414C2212yescomplemented
214#2414C2212yescomplemented
215#2414C2214yescomplemented
216#2414C2212yescomplemented
217#2414C2214yescomplemented
218#2414C2212yescomplemented
219#2413C2214yes—
220#2413C2214yes—
221#2412C2214yes—
222#2412C2214yes—
223#2411C2214yes—
224#2411C2214yes—
225#2410C2214yes—
226#2410C2214yes—
227#2408C2214yes—
228#2407C2214yescomplemented
229#2407C2214yescomplemented
230#2397C2212yescomplemented
231#2397C2212yescomplemented
232C2×#399C2212yes—
233C2×#392C2212yes—
234#2367C2212yescomplemented
235#2367C2212yescomplemented
236#2367C2212yescomplemented
237#2367C2212yescomplemented
238#2367C2212yescomplemented
239#2367C2212yescomplemented
240#2366C2212yescomplemented
241#2365C2212yescomplemented
242#2363C2214yescomplemented
243#2363C2214yescomplemented
244#2363C2214yescomplemented
245#2354C2211yescharacteristic, complemented
246#2354C2211yescharacteristic, complemented
247#2354C2212yescomplemented
248#2352C2211yescharacteristic, complemented
249#2352C2212yescomplemented
250#2352C2211yescharacteristic, complemented
251#2352C2212yescomplemented
252#2352C2211yescharacteristic, complemented
253#2352C2211yescharacteristic, complemented
254D4×C4⋊C4C2211yescharacteristic, complemented
255D4×C4⋊C4C2212yescomplemented
256D4×C4⋊C4C2211yescharacteristic, complemented
257#2344C2212yes—
258#2342C2214yes—
259#2342C2212yes—
260#2342C2212yes—
261#2342C2214yes—
262#2341C2214yescomplemented
263D4×C22⋊C4C2212yes—
264#2331C2212yescomplemented
265#2331C2212yescomplemented
266#2330C2212yescomplemented
267#2330C2212yescomplemented
268#2329C2214yes—
269#2326C2212yescomplemented
270#2326C2212yescomplemented
271#2325C2214yes—
272#2317C2211yescharacteristic
273#2317C2211yescharacteristic
274#2316C2211yescharacteristic
275#2311C2211yescharacteristic
276#2311C2211yescharacteristic
277#2310C2211yescharacteristic
278#2309C2211yescharacteristic
279C4×C4⋊Q8C2212yescomplemented
280C4×C4⋊Q8C2212yescomplemented
281C4×#127C2212yescomplemented
282C4×#127C2212yescomplemented
283C4×#125C2212yescomplemented
284C4×#125C2212yescomplemented
285C4×#124C2212yescomplemented
286C4×#124C2212yescomplemented
287C4×C22⋊Q8C2214yes—
288C4×#121C2214yes—
289#2293C2212yescomplemented
290C2×#390C2212yes—
291C2×#390C2212yes—
292#2290C2212yescomplemented
293#2290C2212yescomplemented
294#2285C2211yescharacteristic
295#2280C2211yescharacteristic
296#2280C2211yescharacteristic
297C42×D4C2212yescomplemented
298C4×#117C2211yescharacteristic
299C4×#117C2211yescharacteristic
300C2×C4×C4⋊C4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2314yes—
304C23×Q8C2311yescharacteristic
305C23×D4C2311yescharacteristic
306C23×D4C2311yescharacteristic
307C23×D4C2312yes—
308C23×D4C2312yes—
309C24×C4C2311yescharacteristic
310C24×C4C2311yescharacteristic
311#556—216no—
312#555—216no—
313#554—216no—
314#553—216no—
315#553—216no—
316#552—216no—
317#552—216no—
318#552—232no—
319#551—232no—
320#551—232no—
321#547—216no—
322#546—232no—
323#544D4116yescomplemented
324#542—216no—
325#542—216no—
326#541—216no—
327#540—216no—
328#536—28no—
329#536—44no—
330#535—28no—
331#535—44no—
332#533—216no—
333#532—216no—
334#532—28no—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×#127C2312yes—
341C2×#127C2311yescharacteristic
342C2×#127C2312yes—
343C2×#127C2312yes—
344C2×#127C2312yes—
345#529—216no—
346#529—216no—
347C2×#126C2314yes—
348C2×#126C2314yes—
349C2×#126C2314yes—
350C2×#126C2314yes—
351C2×#126C2314yes—
352C2×#126C2314yes—
353C2×#125C2314yes—
354C2×#125C2314yes—
355C2×#125C2314yes—
356C2×#125C2312yes—
357C2×#125C2312yes—
358C2×#124—28no—
359C2×#124C2312yes—
360C2×#124C2312yes—
361C2×#124C2312yes—
362C2×#124C2312yes—
363C2×#124C2311yescharacteristic
364C2×#124C2311yescharacteristic
365C2×#124C2312yes—
366C2×#124C2312yes—
367C2×#124C2314yes—
368C2×#124C2314yes—
369C2×#124C2314yes—
370C2×#124C2312yes—
371C2×#124C2312yes—
372#525—28no—
373#525—28no—
374#525—44no—
375#525—44no—
376C2×#123C2312yes—
377C2×#123C2312yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×#123C2312yes—
386C2×#123C2314yes—
387C2×#123C2312yes—
388C2×C22⋊Q8—28no—
389C2×C22⋊Q8—44no—
390C2×C22⋊Q8C2314yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2311yescharacteristic
398C2×C22⋊Q8C2311yescharacteristic
399C2×C22⋊Q8C2311yescharacteristic
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2314yes—
414C2×#121—28no—
415C2×#121—44no—
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2311yescharacteristic
422C2×#121C2311yescharacteristic
423C2×#121C2311yescharacteristic
424C2×#121C2311yescharacteristic
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2314yes—
428C2×#121C2314yes—
429C2×#121C2312yes—
430C2×#121C2314yes—
431C2×#121C2311yescharacteristic
432C2×#121C2312yes—
433C2×#121C2311yescharacteristic
434C2×#121C2314yes—
435C2×#121C2314yes—
436C2×#121C2314yes—
437C2×#121C2311yescharacteristic
438C2×#121C2312yes—
439C2×#121C2311yescharacteristic
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2314yes—
445C2×#121C2314yes—
446C2×#121C2314yes—
447C2×#120C2312yes—
448C2×#120C2314yes—
449C2×#120C2312yes—
450C2×#120C2312yes—
451C2×#120C2314yes—
452C2×#120C2312yes—
453#520—28no—
454#520—28no—
455#519—28no—
456#518—28no—
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2314yes—
460C2×C4×Q8C2312yes—
461C2×C4×Q8C2312yes—
462C2×C4×Q8C2312yes—
463C2×C4×Q8C2312yes—
464C2×C4×Q8C2314yes—
465C2×C4×D4—28no—
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2314yes—
474C2×C4×D4C2314yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2312yes—
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2314yes—
481C2×C4×D4C2314yes—
482C2×C4×D4C2314yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2314yes—
498C2×#117—28no—
499C2×#117—28no—
500C2×#117C2311yescharacteristic
501C2×#117C2311yescharacteristic
502C2×#117C2311yescharacteristic
503C2×#117C2311yescharacteristic
504C2×#117C2314yes—
505C2×#117C2312yes—
506C2×#117C2312yes—
507C2×#117C2311yescharacteristic
508C2×#117C2311yescharacteristic
509C2×#117C2311yescharacteristic
510C2×#117C2311yescharacteristic
511C2×#117C2312yes—
512C2×#117C2312yes—
513C2×#117C2314yes—
514C2×#117C2314yes—
515C2×#117C2314yes—
516C2×#117C2312yes—
517C2×#117C2312yes—
518C2×#117C2311yescharacteristic
519C2×#117C2311yescharacteristic
520C22×C4⋊C4C2311yescharacteristic
521C22×C4⋊C4C2311yescharacteristic
522C22×C4⋊C4C2311yescharacteristic
523C22×C4⋊C4C2311yescharacteristic
524C22×C4⋊C4C2311yescharacteristic
525C22×C4⋊C4C2311yescharacteristic
526C22×C4⋊C4C2312yes—
527C22×C4⋊C4C2312yes—
528C22×C4⋊C4C2312yes—
529C22×C4⋊C4C2312yes—
530C22×C4⋊C4C2311yescharacteristic
531C22×C22⋊C4C2312yes—
532C22×C22⋊C4C2312yes—
533C22×C22⋊C4C2312yes—
534C22×C22⋊C4C2311yescharacteristic
535C22×C22⋊C4C2311yescharacteristic
536C22×C22⋊C4C2314yes—
537C22×C22⋊C4C2312yes—
538C22×C22⋊C4C2312yes—
539C22×C22⋊C4C2312yes—
540C22×C22⋊C4C2312yes—
541C22×C22⋊C4C2312yes—
542C22×C42C2312yes—
543C22×C42C2312yes—
544C22×C42C2312yes—
545C22×C42C2311yescharacteristic
546#399C2314yes—
547#399C2314yes—
548#399C2314yes—
549#399C2314yes—
550#399C2312yes—
551#399C2312yes—
552#399C2312yes—
553#399C2312yes—
554#399C2312yes—
555#399C2312yes—
556#399C2312yes—
557#399C2312yes—
558#399C2314yes—
559#399C2314yes—
560#399C2314yes—
561#399C2314yes—
562#398C2314yes—
563#398C2314yes—
564#398C2314yes—
565#398C2314yes—
566#398C2314yes—
567#398C2314yes—
568#397C2314yes—
569#397C2314yes—
570#397C2314yes—
571#397C2314yes—
572#397C2314yes—
573#397C2314yes—
574#396C2314yes—
575#396C2314yes—
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#396C2314yes—
584#396C2314yes—
585#396C2314yes—
586#394C2314yes—
587#394C2314yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#392C2314yes—
605#392C2314yes—
606#392C2314yes—
607#392C2314yes—
608#392C2314yes—
609#392C2314yes—
610#392C2312yes—
611#392C2312yes—
612#392C2312yes—
613#392C2312yes—
614#392C2312yes—
615#392C2312yes—
616#392C2312yes—
617#392C2312yes—
618#392C2314yes—
619#392C2314yes—
620#392C2314yes—
621#392C2314yes—
622#392C2314yes—
623#392C2314yes—
624#392C2314yes—
625#392C2314yes—
626#391C2314yes—
627#391C2314yes—
628#391C2312yes—
629#391C2312yes—
630#391C2312yes—
631#391C2312yes—
632#391C2312yes—
633#391C2312yes—
634#391C2314yes—
635#390C2312yes—
636#390C2312yes—
637#390C2312yes—
638#390C2312yes—
639#390C2312yes—
640#390C2312yes—
641#390C2312yes—
642#390C2312yes—
643#390C2312yes—
644#390C2312yes—
645#390C2312yes—
646#390C2312yes—
647#390C2312yes—
648#390C2312yes—
649#390C2312yes—
650#390C2312yes—
651#390C2312yes—
652#390C2312yes—
653#390C2312yes—
654#390C2312yes—
655#390C2314yes—
656#390C2314yes—
657#390C2314yes—
658#390C2314yes—
659#390C2314yes—
660#390C2314yes—
661#390C2314yes—
662#390C2314yes—
663#390C2314yes—
664#390C2314yes—
665#390C2314yes—
666#390C2314yes—
667#390C2314yes—
668#390C2314yes—
669#390C2314yes—
670#390C2314yes—
671#390C2314yes—
672#390C2314yes—
673#390C2314yes—
674#390C2314yes—
675#390C2314yes—
676#390C2314yes—
677#390C2314yes—
678#389C2312yes—
679#389C2312yes—
680#389C2312yes—
681#389C2312yes—
682#389C2312yes—
683#389C2312yes—
684#389C2312yes—
685#389C2312yes—
686#389C2314yes—
687#389C2314yes—
688#389C2314yes—
689#389C2312yes—
690#389C2312yes—
691#389C2314yes—
692#389C2314yes—
693#389C2314yes—
694#389C2314yes—
695#389C2314yes—
696#389C2314yes—
697#389C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2312yes—
709#388C2312yes—
710#388C2312yes—
711#388C2312yes—
712#388C2312yes—
713#388C2312yes—
714#388C2312yes—
715#388C2312yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2312yes—
739#387C2312yes—
740#387C2312yes—
741#387C2312yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2312yes—
747#386C2312yes—
748#386C2312yes—
749#386C2312yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2312yes—
771#385C2312yes—
772#385C2312yes—
773#385C2312yes—
774#384C2312yes—
775#384C2312yes—
776#384C2312yes—
777#384C2312yes—
778#384C2311yescharacteristic
779#384C2311yescharacteristic
780#382C2312yes—
781#382C2312yes—
782#382C2311yescharacteristic
783#382C2311yescharacteristic
784#381C2314yes—
785#381C2312yes—
786#381C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2314yes—
792#380C2312yes—
793#380C2314yes—
794#380C2314yes—
795#380C2314yes—
796#380C2312yes—
797#380C2314yes—
798#380C2311yescharacteristic
799#380C2311yescharacteristic
800#380C2311yescharacteristic
801#380C2311yescharacteristic
802#380C2311yescharacteristic
803#380C2311yescharacteristic
804#380C2311yescharacteristic
805#380C2311yescharacteristic
806#380C2314yes—
807#380C2314yes—
808#379C2314yes—
809#379C2312yes—
810#379C2312yes—
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2314yes—
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2314yes—
816C4×C4⋊C4C2314yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2314yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2312yes—
849#376C2312yes—
850#376C2312yes—
851C2×#95C2312yes—
852C43C2312yes—
853C43C2312yes—
854C25C2411yescharacteristic
855C25C2411yescharacteristic
856C25C2412yes—
857C2×#41—216no—
858C2×#41—24no—
859C2×#41—24no—
860C2×#41—24no—
861C2×#41—24no—
862C2×#41—24no—
863C2×#41—24no—
864C2×#41—48no—
865C2×#41—84no—
866C22×Q8—24no—
867C22×Q8—24no—
868C22×Q8—24no—
869C22×Q8C2412yes—
870C22×Q8C2412yes—
871C22×Q8C2411yescharacteristic
872C22×Q8C2411yescharacteristic
873C22×Q8C2414yes—
874C22×D4—24no—
875C22×D4—28no—
876C22×D4—24no—
877C22×D4—24no—
878C22×D4—24no—
879C22×D4—44no—
880C22×D4—42no—
881C22×D4—42no—
882C22×D4—44no—
883C22×D4—44no—
884C22×D4—82no—
885C22×D4—82no—
886C22×D4C2411yescharacteristic
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2411yescharacteristic
892C22×D4C2411yescharacteristic
893C22×D4C2412yes—
894C22×D4C2411yescharacteristic
895C22×D4C2411yescharacteristic
896C22×D4C2412yes—
897C22×D4C2414yes—
898C22×D4C2412yes—
899C22×D4C2411yescharacteristic
900C22×D4C2412yes—
901C22×D4C2412yes—
902C22×D4C2414yes—
903C22×D4C2412yes—
904C22×D4C2412yes—
905C22×D4C2412yes—
906C22×D4C2414yes—
907C22×D4C2414yes—
908C22×D4C2414yes—
909C22×D4C2412yes—
910C22×D4C2412yes—
911C22×D4C2414yes—
912C22×D4C2414yes—
913C22×D4C2414yes—
914C23×C4—24no—
915C23×C4—24no—
916C23×C4—24no—
917C23×C4—24no—
918C23×C4—24no—
919C23×C4—24no—
920C23×C4C2412yes—
921C23×C4C2411yescharacteristic
922C23×C4C2411yescharacteristic
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C23×C4C2412yes—
926C23×C4C2412yes—
927C23×C4C2411yescharacteristic
928C23×C4C2411yescharacteristic
929C23×C4C2411yescharacteristic
930C23×C4C2411yescharacteristic
931C23×C4C2411yescharacteristic
932C23×C4C2411yescharacteristic
933C23×C4C2412yes—
934C23×C4C2412yes—
935C23×C4C2412yes—
936C23×C4C2412yes—
937C23×C4C2412yes—
938C23×C4C2414yes—
939C23×C4C2414yes—
940C23×C4C2414yes—
941C23×C4C2414yes—
942C23×C4C2412yes—
943C23×C4C2411yescharacteristic
944C23×C4C2411yescharacteristic
945C23×C4C2411yescharacteristic
946C4⋊Q8—28no—
947C4⋊Q8—24no—
948C4⋊Q8—44no—
949C4⋊Q8C2×D4116yescomplemented
950C4⋊Q8C2×D4116yescomplemented
951#127—28no—
952#127—24no—
953#127—44no—
954#127—44no—
955#127—44no—
956#126—216no—
957#126—216no—
958#126—216no—
959#126—216no—
960#126—216no—
961#126—216no—
962#125—216no—
963#125—216no—
964#125—216no—
965#125C2×D4116yescomplemented
966#125C2×D4116yescomplemented
967#124—216no—
968#124—216no—
969#124—216no—
970#124—28no—
971#124—28no—
972#124—28no—
973#124—28no—
974#124—28no—
975#124—28no—
976#124—24no—
977#124—24no—
978#124—44no—
979#124—44no—
980#123—216no—
981#123—216no—
982#123—216no—
983#123—216no—
984#123—216no—
985#123—216no—
986#123—28no—
987#123—28no—
988#123—216no—
989#123—44no—
990#123—44no—
991#123—48no—
992C22⋊Q8—216no—
993C22⋊Q8—216no—
994C22⋊Q8—216no—
995C22⋊Q8—28no—
996C22⋊Q8—28no—
997C22⋊Q8—28no—
998C22⋊Q8—28no—
999C22⋊Q8—24no—
1000C22⋊Q8—24no—
1001C22⋊Q8—24no—
1002C22⋊Q8—24no—
1003C22⋊Q8—28no—
1004C22⋊Q8—28no—
1005C22⋊Q8—44no—
1006C22⋊Q8—44no—
1007C22⋊Q8—44no—
1008C22⋊Q8—44no—
1009C22⋊Q8—42no—
1010C22⋊Q8—42no—
1011C22⋊Q8—42no—
1012C22⋊Q8—42no—
1013C22⋊Q8—44no—
1014C22⋊Q8—44no—
1015C22⋊Q8C2×D4132yes—
1016#121—28no—
1017#121—28no—
1018#121—28no—
1019#121—28no—
1020#121—28no—
1021#121—28no—
1022#121—24no—
1023#121—24no—
1024#121—24no—
1025#121—24no—
1026#121—216no—
1027#121—28no—
1028#121—28no—
1029#121—216no—
1030#121—216no—
1031#121—48no—
1032#121—48no—
1033#121—44no—
1034#121—44no—
1035#121—44no—
1036#121—44no—
1037#121—42no—
1038#121—42no—
1039#121—42no—
1040#121—42no—
1041#121—44no—
1042#121—44no—
1043#121—48no—
1044#121—84no—
1045#121—84no—
1046#121—84no—
1047#120—28no—
1048#120—28no—
1049#120—216no—
1050#120—44no—
1051#120—44no—
1052#120—48no—
1053C4×Q8—216no—
1054C4×Q8—28no—
1055C4×Q8—28no—
1056C4×Q8—28no—
1057C4×Q8—28no—
1058C4×Q8—28no—
1059C4×Q8—28no—
1060C4×Q8—84no—
1061C4×D4—216no—
1062C4×D4—216no—
1063C4×D4—28no—
1064C4×D4—28no—
1065C4×D4—28no—
1066C4×D4—28no—
1067C4×D4—216no—
1068C4×D4—216no—
1069C4×D4—216no—
1070C4×D4—28no—
1071C4×D4—28no—
1072C4×D4—28no—
1073C4×D4—28no—
1074C4×D4—28no—
1075C4×D4—28no—
1076C4×D4—24no—
1077C4×D4—24no—
1078C4×D4—24no—
1079C4×D4—24no—
1080C4×D4—24no—
1081C4×D4—24no—
1082C4×D4—24no—
1083C4×D4—24no—
1084C4×D4—28no—
1085C4×D4—28no—
1086C4×D4—44no—
1087C4×D4—44no—
1088C4×D4—44no—
1089C4×D4—44no—
1090C4×D4—44no—
1091C4×D4—44no—
1092C4×D4—84no—
1093#117—24no—
1094#117—24no—
1095#117—24no—
1096#117—24no—
1097#117—24no—
1098#117—24no—
1099#117—24no—
1100#117—24no—
1101#117—28no—
1102#117—28no—
1103#117—216no—
1104#117—216no—
1105#117—216no—
1106#117—28no—
1107#117—28no—
1108#117—216no—
1109#117—28no—
1110#117—28no—
1111#117C2×D418yes—
1112#117C2×D418yes—
1113C2×C4⋊C4—28no—
1114C2×C4⋊C4—24no—
1115C2×C4⋊C4—24no—
1116C2×C4⋊C4—24no—
1117C2×C4⋊C4—24no—
1118C2×C4⋊C4—24no—
1119C2×C4⋊C4—24no—
1120C2×C4⋊C4—28no—
1121C2×C4⋊C4—28no—
1122C2×C4⋊C4—44no—
1123C2×C4⋊C4C2×D418yes—
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2411yescharacteristic
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C4⋊C4C2411yescharacteristic
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2414yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2414yes—
1166C2×C4⋊C4C2414yes—
1167C2×C4⋊C4C2414yes—
1168C2×C4⋊C4C2414yes—
1169C2×C4⋊C4C2414yes—
1170C2×C4⋊C4C2414yes—
1171C2×C4⋊C4C2414yes—
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2412yes—
1174C2×C4⋊C4C2412yes—
1175C2×C4⋊C4C2411yescharacteristic
1176C2×C4⋊C4C2411yescharacteristic
1177C2×C4⋊C4C2412yes—
1178C2×C4⋊C4C2411yescharacteristic
1179C2×C4⋊C4C2411yescharacteristic
1180C2×C4⋊C4C2414yes—
1181C2×C4⋊C4C2414yes—
1182C2×C4⋊C4C2414yes—
1183C2×C22⋊C4—28no—
1184C2×C22⋊C4—28no—
1185C2×C22⋊C4—24no—
1186C2×C22⋊C4—24no—
1187C2×C22⋊C4—28no—
1188C2×C22⋊C4—28no—
1189C2×C22⋊C4—28no—
1190C2×C22⋊C4—28no—
1191C2×C22⋊C4—216no—
1192C2×C22⋊C4—44no—
1193C2×C22⋊C4—44no—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2411yescharacteristic
1205C2×C22⋊C4C2411yescharacteristic
1206C2×C22⋊C4C2411yescharacteristic
1207C2×C22⋊C4C2411yescharacteristic
1208C2×C22⋊C4C2411yescharacteristic
1209C2×C22⋊C4C2411yescharacteristic
1210C2×C22⋊C4C2411yescharacteristic
1211C2×C22⋊C4C2411yescharacteristic
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2412yes—
1246C2×C22⋊C4C2412yes—
1247C2×C22⋊C4C2412yes—
1248C2×C22⋊C4C2412yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2412yes—
1251C2×C22⋊C4C2412yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2414yes—
1254C2×C22⋊C4C2412yes—
1255C2×C22⋊C4C2412yes—
1256C2×C22⋊C4C2414yes—
1257C2×C22⋊C4C2414yes—
1258C2×C22⋊C4C2412yes—
1259C2×C22⋊C4C2412yes—
1260C2×C22⋊C4C2414yes—
1261C2×C22⋊C4C2414yes—
1262C2×C22⋊C4C2414yes—
1263C2×C22⋊C4C2414yes—
1264C2×C22⋊C4C2414yes—
1265C2×C22⋊C4C2414yes—
1266C2×C22⋊C4C2414yes—
1267C2×C22⋊C4C2412yes—
1268C2×C22⋊C4C2412yes—
1269C2×C22⋊C4C2414yes—
1270C2×C22⋊C4C2412yes—
1271C2×C22⋊C4C2412yes—
1272C2×C42—28no—
1273C2×C42—28no—
1274C2×C42—82no—
1275C2×C42#4118yescomplemented
1276C2×C42C2412yes—
1277C2×C42C2412yes—
1278C2×C42C2412yes—
1279C2×C42C2414yes—
1280C2×C42C2412yes—
1281C2×C42C2412yes—
1282C2×C42C2414yes—
1283C2×C42C2414yes—
1284C2×C42C2414yes—
1285C2×C42C2412yes—
1286C2×C42C2412yes—
1287C2×C42C2412yes—
1288C2×C42C2412yes—
1289C2×C42C2412yes—
1290C2×C42C2414yes—
1291C2×C42C2412yes—
1292C2×C42C2412yes—
1293C2×C42C2414yes—
1294C2×C42C2412yes—
1295C2×C42C2412yes—
1296C2×C42C2412yes—
1297C2×C42C2412yes—
1298C2×C42C2412yes—
1299C2×C42C2412yes—
1300C2×C42C2411yescharacteristic
1301C2×C42C2411yescharacteristic
1302C2×C42C2411yescharacteristic
1303C2×C42C2411yescharacteristic
1304#95C2414yes—
1305#95C2414yes—
1306#95C2412yes—
1307#95C2412yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2412yes—
1312#95C2412yes—
1313#95C2412yes—
1314#95C2412yes—
1315#95C2412yes—
1316#95C2412yes—
1317#95C2412yes—
1318#95C2412yes—
1319#95C2412yes—
1320#95C2412yes—
1321#95C2412yes—
1322#95C2412yes—
1323#95C2412yes—
1324#95C2414yes—
1325#95C2414yes—
1326#95C2412yes—
1327#95C2414yes—
1328#95C2412yes—
1329#95C2414yes—
1330#95C2414yes—
1331#95C2414yes—
1332#95C2414yes—
1333#95C2414yes—
1334#95C2414yes—
1335#95C2414yes—
1336#95C2414yes—
1337#95C2414yes—
1338#95C2414yes—
1339#95C2414yes—
1340C24—22no—
1341C24—22no—
1342C24—22no—
1343C24—22no—
1344C24—22no—
1345C24—22no—
1346C24—22no—
1347C24—22no—
1348C24—24no—
1349C24—24no—
1350C24—24no—
1351C24—41no—
1352C24—41no—
1353C24—41no—
1354C24—41no—
1355C24—41no—
1356C24—41no—
1357C24—42no—
1358C24—42no—
1359C24—42no—
1360C24—42no—
1361C24C2511yescharacteristic
1362C24C2514yes—
1363C24C2511yescharacteristic
1364C24C2512yes—
1365C24C2512yes—
1366C24C2511yescharacteristic
1367C24C2511yescharacteristic
1368C24C2511yescharacteristic
1369#41—416no—
1370#41—416no—
1371#41—832no—
1372C2×Q8—24no—
1373C2×Q8—22no—
1374C2×Q8—24no—
1375C2×Q8—22no—
1376C2×Q8—24no—
1377C2×Q8—24no—
1378C2×Q8—22no—
1379C2×Q8—22no—
1380C2×Q8—24no—
1381C2×Q8—22no—
1382C2×Q8—24no—
1383C2×Q8—22no—
1384C2×Q8—44no—
1385C2×Q8—44no—
1386C2×Q8—416no—
1387C2×Q8C22×D4116yes—
1388C2×D4—22no—
1389C2×D4—22no—
1390C2×D4—24no—
1391C2×D4—24no—
1392C2×D4—24no—
1393C2×D4—24no—
1394C2×D4—24no—
1395C2×D4—24no—
1396C2×D4—24no—
1397C2×D4—28no—
1398C2×D4—22no—
1399C2×D4—22no—
1400C2×D4—24no—
1401C2×D4—24no—
1402C2×D4—24no—
1403C2×D4—28no—
1404C2×D4—24no—
1405C2×D4—24no—
1406C2×D4—22no—
1407C2×D4—24no—
1408C2×D4—22no—
1409C2×D4—24no—
1410C2×D4—28no—
1411C2×D4—24no—
1412C2×D4—28no—
1413C2×D4—24no—
1414C2×D4—28no—
1415C2×D4—28no—
1416C2×D4—22no—
1417C2×D4—22no—
1418C2×D4—22no—
1419C2×D4—22no—
1420C2×D4—24no—
1421C2×D4—24no—
1422C2×D4—24no—
1423C2×D4—22no—
1424C2×D4—22no—
1425C2×D4—24no—
1426C2×D4—24no—
1427C2×D4—22no—
1428C2×D4—24no—
1429C2×D4—22no—
1430C2×D4—42no—
1431C2×D4—41no—
1432C2×D4—41no—
1433C2×D4—41no—
1434C2×D4—41no—
1435C2×D4—44no—
1436C2×D4—42no—
1437C2×D4—42no—
1438C2×D4—42no—
1439C2×D4—42no—
1440C2×D4—42no—
1441C2×D4—42no—
1442C2×D4—42no—
1443C2×D4—44no—
1444C2×D4—44no—
1445C2×D4—44no—
1446C2×D4—42no—
1447C2×D4—42no—
1448C2×D4—42no—
1449C2×D4—44no—
1450C2×D4—44no—
1451C2×D4—44no—
1452C2×D4—44no—
1453C2×D4—42no—
1454C2×D4—42no—
1455C2×D4—42no—
1456C2×D4—42no—
1457C2×D4—42no—
1458C2×D4—42no—
1459C2×D4—44no—
1460C2×D4—44no—
1461C2×D4—42no—
1462C2×D4—44no—
1463C2×D4—42no—
1464C2×D4—42no—
1465C2×D4—44no—
1466C2×D4—44no—
1467C2×D4—44no—
1468C2×D4—44no—
1469C2×D4—44no—
1470C2×D4—44no—
1471C2×D4—44no—
1472C2×D4—416no—
1473C2×D4—416no—
1474C2×D4—816no—
1475C2×D4—816no—
1476C22×C4—22no—
1477C22×C4—24no—
1478C22×C4—22no—
1479C22×C4—24no—
1480C22×C4—22no—
1481C22×C4—22no—
1482C22×C4—24no—
1483C22×C4—22no—
1484C22×C4—24no—
1485C22×C4—22no—
1486C22×C4—24no—
1487C22×C4—24no—
1488C22×C4—22no—
1489C22×C4—22no—
1490C22×C4—24no—
1491C22×C4—24no—
1492C22×C4—22no—
1493C22×C4—22no—
1494C22×C4—24no—
1495C22×C4—24no—
1496C22×C4—22no—
1497C22×C4—22no—
1498C22×C4—22no—
1499C22×C4—22no—
1500C22×C4—22no—
1501C22×C4—22no—
1502C22×C4—22no—
1503C22×C4—22no—
1504C22×C4—22no—
1505C22×C4—22no—
1506C22×C4—22no—
1507C22×C4—22no—
1508C22×C4—24no—
1509C22×C4—24no—
1510C22×C4—22no—
1511C22×C4—22no—
1512C22×C4—24no—
1513C22×C4—22no—
1514C22×C4—22no—
1515C22×C4—24no—
1516C22×C4—22no—
1517C22×C4—22no—
1518C22×C4—22no—
1519C22×C4—22no—
1520C22×C4—24no—
1521C22×C4—24no—
1522C22×C4—28no—
1523C22×C4—28no—
1524C22×C4—28no—
1525C22×C4—28no—
1526C22×C4—41no—
1527C22×C4—42no—
1528C22×C4—42no—
1529C22×C4—41no—
1530C22×C4—42no—
1531C22×C4—41no—
1532C22×C4—41no—
1533C22×C4—42no—
1534C22×C4—42no—
1535C22×C4—42no—
1536C22×C4—42no—
1537C22×C4—42no—
1538C22×C4—44no—
1539C22×C4—44no—
1540C22×C4—44no—
1541C22×C4—44no—
1542C22×C4—42no—
1543C22×C4—44no—
1544C22×C4—42no—
1545C22×C4—44no—
1546C22×C4—44no—
1547C22×C4—44no—
1548C22×C4—416no—
1549C22×C4—416no—
1550C22×C4C22×D418yes—
1551C22×C4C22×D414yes—
1552C22×C4C2×#4114yes—
1553C22×C4C2×#4114yes—
1554C22×C4C2×#4114yes—
1555C22×C4H(5,𝔽2)14yes—
1556C22×C4C2512yes—
1557C22×C4C2512yes—
1558C22×C4C2512yes—
1559C22×C4C2514yes—
1560C22×C4C2512yes—
1561C22×C4C2512yes—
1562C22×C4C2512yes—
1563C22×C4C2512yes—
1564C22×C4C2512yes—
1565C22×C4C2511yescharacteristic
1566C22×C4C2511yescharacteristic
1567C22×C4C2514yes—
1568C22×C4C2512yes—
1569C22×C4C2512yes—
1570C22×C4C2511yescharacteristic
1571C22×C4C2511yescharacteristic
1572C22×C4C2512yes—
1573C22×C4C2512yes—
1574C22×C4C2512yes—
1575C22×C4C2512yes—
1576C22×C4C2514yes—
1577C22×C4C2511yescharacteristic
1578C22×C4C2511yescharacteristic
1579C22×C4C2511yescharacteristic
1580C22×C4C2511yescharacteristic
1581C22×C4C2511yescharacteristic
1582C22×C4C2511yescharacteristic
1583C4⋊C4—22no—
1584C4⋊C4—22no—
1585C4⋊C4—22no—
1586C4⋊C4—22no—
1587C4⋊C4—24no—
1588C4⋊C4—24no—
1589C4⋊C4—24no—
1590C4⋊C4—24no—
1591C4⋊C4—28no—
1592C4⋊C4—28no—
1593C4⋊C4—28no—
1594C4⋊C4—28no—
1595C4⋊C4—24no—
1596C4⋊C4—28no—
1597C4⋊C4—28no—
1598C4⋊C4—28no—
1599C4⋊C4—24no—
1600C4⋊C4—24no—
1601C4⋊C4—24no—
1602C4⋊C4—28no—
1603C4⋊C4—22no—
1604C4⋊C4—22no—
1605C4⋊C4—22no—
1606C4⋊C4—22no—
1607C4⋊C4—24no—
1608C4⋊C4—24no—
1609C4⋊C4—24no—
1610C4⋊C4—24no—
1611C4⋊C4—22no—
1612C4⋊C4—22no—
1613C4⋊C4—22no—
1614C4⋊C4—22no—
1615C4⋊C4—44no—
1616C4⋊C4—44no—
1617C4⋊C4—42no—
1618C4⋊C4—42no—
1619C4⋊C4—42no—
1620C4⋊C4—42no—
1621C4⋊C4—42no—
1622C4⋊C4—42no—
1623C4⋊C4—42no—
1624C4⋊C4—42no—
1625C4⋊C4—44no—
1626C4⋊C4—44no—
1627C4⋊C4—44no—
1628C4⋊C4—44no—
1629C4⋊C4—44no—
1630C4⋊C4—44no—
1631C4⋊C4—44no—
1632C4⋊C4—44no—
1633C4⋊C4C22×D418yes—
1634C4⋊C4C22×D414yes—
1635C4⋊C4C22×D414yes—
1636C4⋊C4C22×D418yes—
1637C4⋊C4C22×D4116yes—
1638C4⋊C4C22×D4116yes—
1639C4⋊C4C22×D4116yes—
1640C4⋊C4C22×D414yes—
1641C4⋊C4C22×D414yes—
1642C22⋊C4—24no—
1643C22⋊C4—24no—
1644C22⋊C4—24no—
1645C22⋊C4—24no—
1646C22⋊C4—24no—
1647C22⋊C4—24no—
1648C22⋊C4—24no—
1649C22⋊C4—24no—
1650C22⋊C4—24no—
1651C22⋊C4—24no—
1652C22⋊C4—28no—
1653C22⋊C4—28no—
1654C22⋊C4—28no—
1655C22⋊C4—28no—
1656C22⋊C4—28no—
1657C22⋊C4—28no—
1658C22⋊C4—24no—
1659C22⋊C4—24no—
1660C22⋊C4—28no—
1661C22⋊C4—28no—
1662C22⋊C4—28no—
1663C22⋊C4—28no—
1664C22⋊C4—24no—
1665C22⋊C4—24no—
1666C22⋊C4—28no—
1667C22⋊C4—24no—
1668C22⋊C4—24no—
1669C22⋊C4—24no—
1670C22⋊C4—24no—
1671C22⋊C4—28no—
1672C22⋊C4—22no—
1673C22⋊C4—22no—
1674C22⋊C4—22no—
1675C22⋊C4—22no—
1676C22⋊C4—22no—
1677C22⋊C4—22no—
1678C22⋊C4—22no—
1679C22⋊C4—22no—
1680C22⋊C4—28no—
1681C22⋊C4—28no—
1682C22⋊C4—28no—
1683C22⋊C4—28no—
1684C22⋊C4—24no—
1685C22⋊C4—24no—
1686C22⋊C4—24no—
1687C22⋊C4—24no—
1688C22⋊C4—44no—
1689C22⋊C4—44no—
1690C22⋊C4—44no—
1691C22⋊C4—44no—
1692C22⋊C4—42no—
1693C22⋊C4—44no—
1694C22⋊C4—42no—
1695C22⋊C4—42no—
1696C22⋊C4—42no—
1697C22⋊C4—42no—
1698C22⋊C4—42no—
1699C22⋊C4—42no—
1700C22⋊C4—42no—
1701C22⋊C4—42no—
1702C22⋊C4—42no—
1703C22⋊C4—42no—
1704C22⋊C4—42no—
1705C22⋊C4—44no—
1706C22⋊C4—44no—
1707C22⋊C4—44no—
1708C22⋊C4—44no—
1709C22⋊C4—44no—
1710C22⋊C4—44no—
1711C22⋊C4—44no—
1712C22⋊C4—44no—
1713C22⋊C4—42no—
1714C22⋊C4—44no—
1715C22⋊C4—42no—
1716C22⋊C4—44no—
1717C22⋊C4—44no—
1718C22⋊C4C22×D418yes—
1719C22⋊C4C22×D418yes—
1720C42—24no—
1721C42—24no—
1722C42—24no—
1723C42—24no—
1724C42—24no—
1725C42—24no—
1726C42—28no—
1727C42—28no—
1728C42—28no—
1729C42—28no—
1730C42—24no—
1731C42—24no—
1732C42—44no—
1733C42—44no—
1734C42—42no—
1735C42—42no—
1736C42—42no—
1737C42—42no—
1738C42—42no—
1739C42—42no—
1740C42—42no—
1741C42—42no—
1742C42C22×D418yes—
1743C42C22×D418yes—
1744C42C2×#4114yes—
1745C42C2×#4114yes—
1746C42C2×#4114yes—
1747C42C2×#4114yes—
1748C23—21no—
1749C23—21no—
1750C23—21no—
1751C23—21no—
1752C23—21no—
1753C23—21no—
1754C23—21no—
1755C23—21no—
1756C23—21no—
1757C23—21no—
1758C23—21no—
1759C23—21no—
1760C23—21no—
1761C23—21no—
1762C23—21no—
1763C23—21no—
1764C23—21no—
1765C23—22no—
1766C23—24no—
1767C23—21no—
1768C23—22no—
1769C23—24no—
1770C23—21no—
1771C23—21no—
1772C23—22no—
1773C23—22no—
1774C23—21no—
1775C23—22no—
1776C23—24no—
1777C23—21no—
1778C23—22no—
1779C23—22no—
1780C23—22no—
1781C23—24no—
1782C23—24no—
1783C23—22no—
1784C23—22no—
1785C23—21no—
1786C23—21no—
1787C23—21no—
1788C23—21no—
1789C23—22no—
1790C23—22no—
1791C23—21no—
1792C23—21no—
1793C23—24no—
1794C23—21no—
1795C23—21no—
1796C23—24no—
1797C23—22no—
1798C23—22no—
1799C23—44no—
1800C23—44no—
1801C23—44no—
1802C23—44no—
1803C23—44no—
1804C23—44no—
1805C23—44no—
1806C23—44no—
1807C23—48no—
1808C23—82no—
1809C23—82no—
1810C23—82no—
1811C23—82no—
1812C23—82no—
1813C23—82no—
1814C23—84no—
1815C23—84no—
1816C23—84no—
1817C23—84no—
1818C23—84no—
1819C23—84no—
1820C23C23×D412yes—
1821C23C22×#4112yes—
1822C23C2×H(5,𝔽2)12yes—
1823C23#58512yes—
1824C23#58512yes—
1825C23C2611yescharacteristic
1826Q8—416no—
1827Q8—48no—
1828Q8—48no—
1829Q8—44no—
1830Q8—44no—
1831D4—28no—
1832D4—48no—
1833D4—44no—
1834D4—44no—
1835D4—416no—
1836D4—48no—
1837D4—48no—
1838D4—44no—
1839D4—48no—
1840D4—48no—
1841D4—48no—
1842D4—48no—
1843D4—44no—
1844D4—44no—
1845D4—84no—
1846D4—88no—
1847D4—84no—
1848D4—84no—
1849D4—88no—
1850D4—88no—
1851D4—84no—
1852D4—84no—
1853D4—88no—
1854D4—84no—
1855D4—84no—
1856D4—88no—
1857D4—164no—
1858D4—164no—
1859C2×C4—21no—
1860C2×C4—21no—
1861C2×C4—21no—
1862C2×C4—21no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—24no—
1868C2×C4—21no—
1869C2×C4—21no—
1870C2×C4—24no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—21no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—21no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—21no—
1880C2×C4—22no—
1881C2×C4—21no—
1882C2×C4—22no—
1883C2×C4—24no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—21no—
1887C2×C4—21no—
1888C2×C4—24no—
1889C2×C4—21no—
1890C2×C4—21no—
1891C2×C4—21no—
1892C2×C4—21no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—21no—
1900C2×C4—21no—
1901C2×C4—22no—
1902C2×C4—24no—
1903C2×C4—24no—
1904C2×C4—21no—
1905C2×C4—21no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—24no—
1915C2×C4—22no—
1916C2×C4—24no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—48no—
1926C2×C4—44no—
1927C2×C4—44no—
1928C2×C4—48no—
1929C2×C4—48no—
1930C2×C4—48no—
1931C2×C4—44no—
1932C2×C4—44no—
1933C2×C4—48no—
1934C2×C4—44no—
1935C2×C4—44no—
1936C2×C4—44no—
1937C2×C4—44no—
1938C2×C4—44no—
1939C2×C4—44no—
1940C2×C4—44no—
1941C2×C4—44no—
1942C2×C4—48no—
1943C2×C4—48no—
1944C2×C4—88no—
1945C2×C4—84no—
1946C2×C4—84no—
1947C2×C4—88no—
1948C2×C4—88no—
1949C2×C4—88no—
1950C2×C4#550116yes—
1951C2×C4C23×D414yes—
1952C2×C4C23×D414yes—
1953C2×C4C23×D414yes—
1954C2×C4C23×D414yes—
1955C2×C4C23×D418yes—
1956C2×C4C23×D412yes—
1957C2×C4C23×D412yes—
1958C2×C4C22×#4112yes—
1959C2×C4C22×#4112yes—
1960C2×C4C22×#4112yes—
1961C2×C4C22×#4112yes—
1962C2×C4C22×#4112yes—
1963C2×C4C22×#4112yes—
1964C2×C4C2×H(5,𝔽2)12yes—
1965C2×C4C2×H(5,𝔽2)12yes—
1966C22—22no—
1967C22—22no—
1968C22—22no—
1969C22—22no—
1970C22—22no—
1971C22—22no—
1972C22—22no—
1973C22—22no—
1974C22—22no—
1975C22—22no—
1976C22—22no—
1977C22—22no—
1978C22—41no—
1979C22—41no—
1980C22—41no—
1981C22—41no—
1982C22—41no—
1983C22—41no—
1984C22—41no—
1985C22—41no—
1986C22—42no—
1987C22—42no—
1988C22—44no—
1989C22—41no—
1990C22—41no—
1991C22—44no—
1992C22—42no—
1993C22—42no—
1994C22—41no—
1995C22—41no—
1996C22—41no—
1997C22—41no—
1998C22—42no—
1999C22—42no—
2000C22—44no—
2001C22—42no—
2002C22—42no—
2003C22—41no—
2004C22—41no—
2005C22—44no—
2006C22—41no—
2007C22—44no—
2008C22—41no—
2009C22—42no—
2010C22—42no—
2011C22—41no—
2012C22—42no—
2013C22—42no—
2014C22—44no—
2015C22—41no—
2016C22—41no—
2017C22—41no—
2018C22—42no—
2019C22—42no—
2020C22—44no—
2021C22—88no—
2022C22—88no—
2023C22—168no—
2024C22C2×#55014yes—
2025C22C24×D411yescharacteristic
2026C22C23×#4111yescharacteristic
2027C22C22×H(5,𝔽2)11yescharacteristic
2028C22C2×#58511yescharacteristic
2029C22C2×#58511yescharacteristic
2030C22H(7,𝔽2)11yescharacteristic
2031C222−1+611yescharacteristic
2032C4—28no—
2033C4—24no—
2034C4—24no—
2035C4—24no—
2036C4—24no—
2037C4—22no—
2038C4—22no—
2039C4—22no—
2040C4—22no—
2041C4—42no—
2042C4—42no—
2043C4—42no—
2044C4—42no—
2045C4—44no—
2046C4—42no—
2047C4—42no—
2048C4—42no—
2049C4—42no—
2050C4—41no—
2051C4—41no—
2052C4—41no—
2053C4—41no—
2054C4—42no—
2055C4—42no—
2056C4—44no—
2057C4C2×#55014yes—
2058C4C2×#55014yes—
2059C2—24no—
2060C2—42no—
2061C2—42no—
2062C2—82no—
2063C2—82no—
2064C2—81no—
2065C2—81no—
2066C2—84no—
2067C2C22×#55011yescharacteristic
2068C2#6281411yescharacteristic
2069C2#6285611yescharacteristic
2070C2#6292411yescharacteristic
2071C2#6295411yescharacteristic
2072C2#6298711yescharacteristic
2073C2#6300211yescharacteristic
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. C2×#3495C2semidirect
2. C2×#3494C2semidirect
3. #59824C2semidirect
4. #59824C2semidirect
5. #59819C2semidirect
6. #59807C2semidirect
7. #59652C2semidirect
8. #59410C2semidirect
9. #45388C2semidirect
10. #45356C2semidirect
11. #44980C2semidirect
12. #44980C2semidirect
13. #43528C2semidirect
14. #43099C2semidirect
15. #39382C2semidirect
16. #39381C2semidirect
17. #37775C2semidirect
18. #37774C2semidirect
19. #37773C2semidirect
20. #37772C2semidirect
21. #36150C2semidirect
22. #36136C2semidirect
23. #35661C2semidirect
24. #35633C2semidirect
25. #35563C2semidirect
26. #35514C2semidirect
27. #35329C2semidirect
28. #35306C2semidirect
29. #35252C2semidirect
30. #34936C2semidirect
31. C2×#2540C2semidirect
32. #34211C2semidirect
33. #34206C2semidirect
34. D4×#117C2semidirect
35. C4×#544C2semidirect
38. C2×#556C22semidirect
39. C2×#555C22semidirect
40. C2×#554C22semidirect
41. C2×#553C22semidirect
42. C2×#553C22semidirect
44. C2×#552C22semidirect
45. C2×#552C22semidirect
48. C2×#547C22semidirect
51. C2×#542C22semidirect
52. C2×#542C22semidirect
53. C2×#541C22semidirect
54. C2×#540C22semidirect
59. C2×#533C22semidirect
61. C2×#532C22semidirect
62. C2×#529C22semidirect
63. C2×#529C22semidirect
80. #2858C22semidirect
81. #2858C22semidirect
82. #2857C22semidirect
83. #2856C22semidirect
84. #2850C22semidirect
85. #2850C22semidirect
86. #2733C22semidirect
87. #2733C22semidirect
88. #2732C22semidirect
89. #2732C22semidirect
90. #2730C22semidirect
91. #2730C22semidirect
92. #2727C22semidirect
93. #2727C22semidirect
94. #2721C22semidirect
95. #2721C22semidirect
96. #2714C22semidirect
97. #2714C22semidirect
98. #2714C22semidirect
99. #2714C22semidirect
100. #2705C22semidirect
101. #2705C22semidirect
102. #2694C22semidirect
103. #2694C22semidirect
104. #2694C22semidirect
105. #2694C22semidirect
106. #2682C22semidirect
107. #2682C22semidirect
108. #2673C22semidirect
109. #2673C22semidirect
110. #2658C22semidirect
111. #2657C22semidirect
112. #2621C22semidirect
113. #2620C22semidirect
114. #2620C22semidirect
115. #2619C22semidirect
116. #2554C22semidirect
117. #2554C22semidirect
118. #2554C22semidirect
119. #2554C22semidirect
120. #2554C22semidirect
121. #2554C22semidirect
122. #2542C22semidirect
123. #2542C22semidirect
124. #2541C22semidirect
125. #2541C22semidirect
134. #2540C22semidirect
135. #2540C22semidirect
136. #2540C22semidirect
137. #2540C22semidirect
138. #2540C22semidirect
139. #2540C22semidirect
140. #2540C22semidirect
141. #2540C22semidirect
146. #2538C22semidirect
147. #2538C22semidirect
148. #2537C22semidirect
149. #2537C22semidirect
150. #2536C22semidirect
151. #2536C22semidirect
152. #2535C22semidirect
153. #2535C22semidirect
157. #2490C22semidirect
158. #2490C22semidirect
159. #2490C22semidirect
161. #2479C22semidirect
162. #2479C22semidirect
163. #2479C22semidirect
164. #2479C22semidirect
165. #2471C22semidirect
166. #2471C22semidirect
167. #2467C22semidirect
168. #2467C22semidirect
169. #2456C22semidirect
170. #2456C22semidirect
171. #2456C22semidirect
172. #2456C22semidirect
173. #2454C22semidirect
174. #2454C22semidirect
175. #2448C22semidirect
176. #2448C22semidirect
177. #2441C22semidirect
179. #2431C22semidirect
180. #2429C22semidirect
181. #2429C22semidirect
182. #2429C22semidirect
183. #2429C22semidirect
184. #2428C22semidirect
185. #2428C22semidirect
186. #2428C22semidirect
187. #2428C22semidirect
188. #2428C22semidirect
189. #2427C22semidirect
190. #2427C22semidirect
191. #2427C22semidirect
192. #2427C22semidirect
193. #2426C22semidirect
194. #2426C22semidirect
195. #2426C22semidirect
196. #2426C22semidirect
197. #2426C22semidirect
198. #2426C22semidirect
199. #2426C22semidirect
200. #2423C22semidirect
201. #2417C22semidirect
202. #2417C22semidirect
203. #2417C22semidirect
204. #2417C22semidirect
205. #2416C22semidirect
206. #2416C22semidirect
207. #2416C22semidirect
208. #2416C22semidirect
209. #2415C22semidirect
210. #2415C22semidirect
211. #2415C22semidirect
212. #2415C22semidirect
213. #2414C22semidirect
214. #2414C22semidirect
215. #2414C22semidirect
216. #2414C22semidirect
217. #2414C22semidirect
218. #2414C22semidirect
228. #2407C22semidirect
229. #2407C22semidirect
230. #2397C22semidirect
231. #2397C22semidirect
234. #2367C22semidirect
235. #2367C22semidirect
236. #2367C22semidirect
237. #2367C22semidirect
238. #2367C22semidirect
239. #2367C22semidirect
240. #2366C22semidirect
241. #2365C22semidirect
242. #2363C22semidirect
243. #2363C22semidirect
244. #2363C22semidirect
245. #2354C22semidirect
246. #2354C22semidirect
247. #2354C22semidirect
248. #2352C22semidirect
249. #2352C22semidirect
250. #2352C22semidirect
251. #2352C22semidirect
252. #2352C22semidirect
253. #2352C22semidirect
254. D4×C4⋊C4C22semidirect
255. D4×C4⋊C4C22semidirect
256. D4×C4⋊C4C22semidirect
262. #2341C22semidirect
264. #2331C22semidirect
265. #2331C22semidirect
266. #2330C22semidirect
267. #2330C22semidirect
269. #2326C22semidirect
270. #2326C22semidirect
279. C4×C4⋊Q8C22semidirect
280. C4×C4⋊Q8C22semidirect
281. C4×#127C22semidirect
282. C4×#127C22semidirect
283. C4×#125C22semidirect
284. C4×#125C22semidirect
285. C4×#124C22semidirect
286. C4×#124C22semidirect
289. #2293C22semidirect
292. #2290C22semidirect
293. #2290C22semidirect
297. C42×D4C22semidirect
323. #544D4semidirect
949. C4⋊Q8C2×D4semidirect
950. C4⋊Q8C2×D4semidirect
965. #125C2×D4semidirect
966. #125C2×D4semidirect
1275. C2×C42#41semidirect

Maximal subgroups

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

subgroupindex
C2×#34952
C2×#34942
#598242
#598192
#598072
#596522
#594102
#453882
#453562
#449802
#435282
#430992
#393822
#393812
#377752
#377742
#377732
#377722
#361502
#361362
#356612
#356332
#355632
#355142
#353292
#353062
#352522
#349362
C2×#25402
#342112
#342062
D4×#1172
C4×#5442