Finite Group Databasebeta

← #7710232

Subgroups — #7710232

Order 512.

7552 conjugacy classes of subgroups.

The subgroup lattice has 2018 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3551C212yesmaximal, complemented
2#59824C212yesmaximal, complemented
3#59818C212yesmaximal, complemented
4#59680C211yesmaximal, characteristic, complemented
5#59654C211yesmaximal, characteristic, complemented
6#59444C211yesmaximal, characteristic, complemented
7#59412C211yesmaximal, characteristic, complemented
8#45994C214yesmaximal, complemented
9#45993C212yesmaximal, complemented
10#45992C212yesmaximal, complemented
11#39950C212yesmaximal, complemented
12#39948C212yesmaximal, complemented
13#39457C214yesmaximal, complemented
14#39402C212yesmaximal, complemented
15#39401C212yesmaximal, complemented
16#39343C211yesmaximal, characteristic, complemented
17#39342C211yesmaximal, characteristic, complemented
18#39341C211yesmaximal, characteristic, complemented
19#39340C211yesmaximal, characteristic, complemented
20#39335C212yesmaximal, complemented
21#39334C212yesmaximal, complemented
22#38437C214yesmaximal, complemented
23#37550C212yesmaximal, complemented
24#36744C214yesmaximal, complemented
25#36644C211yesmaximal, characteristic, complemented
26#36631C211yesmaximal, characteristic, complemented
27#36468C211yesmaximal, characteristic, complemented
28#36465C211yesmaximal, characteristic, complemented
29#36273C212yesmaximal, complemented
30#36270C211yesmaximal, characteristic, complemented
31#36264C212yesmaximal, complemented
32#36260C211yesmaximal, characteristic, complemented
33#35171C212yesmaximal, complemented
34#35007C212yesmaximal, complemented
35C4×#529C211yesmaximal, characteristic, complemented
36#3551—232no—
37C2×#563C2214yescomplemented
38C2×#560C2214yescomplemented
39C2×#555C2214yescomplemented
40C2×#553C2212yes—
41C2×#553C2212yescomplemented
42C2×#552C2212yescomplemented
43C2×#552C2212yescomplemented
44C2×#551C2214yescomplemented
45C2×#550C2211yescharacteristic
46C2×D4×Q8C2211yescharacteristic, complemented
47C2×#548C2212yes—
48C2×#548C2212yescomplemented
49C2×#548C2212yescomplemented
50C2×#547C2211yescharacteristic
51C2×#546C2212yes—
52C2×#546C2212yes—
53C2×#546C2212yes—
54C2×D42C2211yescharacteristic
55C2×#540C2214yescomplemented
56C2×#540C2214yescomplemented
57C2×#538C2214yescomplemented
58C2×#538C2214yescomplemented
59C2×#537C2212yes—
60C2×#537C2212yescomplemented
61C2×#536C2212yescomplemented
62C2×#535C2212yes—
63C2×#532C2211yescharacteristic
64C2×#532C2212yescomplemented
65C2×#532C2212yescomplemented
66C2×#532C2211yescharacteristic, complemented
67C2×#529C2211yescharacteristic
68C2×#529C2212yescomplemented
69#2868C2211yescharacteristic, complemented
70#2867C2211yescharacteristic
71#2861C2212yescomplemented
72#2860C2212yes—
73#2860C2212yescomplemented
74#2860C2212yescomplemented
75#2859C2211yescharacteristic, complemented
76#2858C2211yescharacteristic
77#2858C2211yescharacteristic
78#2858C2212yescomplemented
79#2858C2212yescomplemented
80#2858C2211yescharacteristic, complemented
81#2858C2212yescomplemented
82#2857C2211yescharacteristic, complemented
83#2856C2211yescharacteristic
84#2856C2211yescharacteristic
85#2856C2211yescharacteristic
86#2856C2212yes—
87#2856C2212yescomplemented
88#2856C2211yescharacteristic, complemented
89#2856C2212yescomplemented
90#2856C2211yescharacteristic, complemented
91#2854C2212yescomplemented
92#2854C2212yescomplemented
93#2854C2212yescomplemented
94#2850C2212yescomplemented
95#2821C2214yescomplemented
96#2818C2214yescomplemented
97#2721C2214yescomplemented
98#2720C2214yescomplemented
99#2718C2214yescomplemented
100#2714C2214yescomplemented
101#2711C2214yescomplemented
102#2703C2214yescomplemented
103#2696C2214yescomplemented
104#2694C2214yescomplemented
105#2685C2214yescomplemented
106#2681C2214yescomplemented
107#2680C2214yescomplemented
108#2678C2214yes—
109#2677C2214yescomplemented
110#2676C2214yescomplemented
111#2676C2214yescomplemented
112#2675C2214yescomplemented
113#2674C2214yescomplemented
114#2674C2214yescomplemented
115#2673C2214yescomplemented
116#2673C2214yescomplemented
117#2673C2214yescomplemented
118#2673C2214yescomplemented
119#2672C2214yescomplemented
120#2672C2214yescomplemented
121#2671C2214yescomplemented
122#2671C2214yescomplemented
123#2670C2214yes—
124#2669C2214yes—
125#2669C2214yescomplemented
126#2669C2214yescomplemented
127#2669C2214yescomplemented
128#2668C2214yescomplemented
129#2662C2214yescomplemented
130#2661C2214yescomplemented
131#2661C2214yescomplemented
132#2661C2214yescomplemented
133#2635C2214yescomplemented
134#2635C2214yescomplemented
135#2616C2212yescomplemented
136#2616C2212yescomplemented
137#2615C2212yes—
138#2615C2212yescomplemented
139#2610C2214yescomplemented
140#2610C2214yescomplemented
141#2610C2214yescomplemented
142#2603C2214yescomplemented
143#2602C2214yescomplemented
144#2601C2214yescomplemented
145#2562C2212yescomplemented
146#2562C2212yescomplemented
147#2559C2214yescomplemented
148#2558C2214yescomplemented
149#2555C2214yescomplemented
150#2555C2214yescomplemented
151#2555C2214yescomplemented
152#2554C2214yescomplemented
153#2554C2214yescomplemented
154#2552C2212yescomplemented
155#2551C2212yescomplemented
156#2542C2211yescharacteristic
157#2542C2211yescharacteristic, complemented
158#2542C2212yescomplemented
159#2541C2211yescharacteristic
160#2541C2211yescharacteristic
161#2541C2212yes—
162#2541C2212yescomplemented
163#2541C2212yescomplemented
164#2541C2212yescomplemented
165#2540C2212yes—
166#2540C2212yes—
167#2540C2212yescomplemented
168#2540C2214yescomplemented
169#2540C2214yescomplemented
170#2540C2212yescomplemented
171#2539C2214yes—
172#2539C2214yes—
173#2538C2211yescharacteristic
174#2538C2211yescharacteristic, complemented
175#2537C2211yescharacteristic
176#2537C2211yescharacteristic
177#2537C2212yescomplemented
178#2536C2212yescomplemented
179#2536C2212yescomplemented
180#2536C2212yescomplemented
181#2535C2212yes—
182#2535C2212yes—
183#2535C2212yescomplemented
184#2512C2212yes—
185#2512C2212yescomplemented
186#2506C2212yescomplemented
187#2501C2212yes—
188#2496C2212yescomplemented
189#2491C2212yes—
190#2491C2212yes—
191#2491C2212yescomplemented
192#2491C2214yescomplemented
193#2490C2214yescomplemented
194#2479C2214yescomplemented
195#2472C2214yescomplemented
196#2472C2214yescomplemented
197#2472C2214yescomplemented
198#2471C2214yescomplemented
199#2467C2214yescomplemented
200#2464C2214yescomplemented
201#2464C2214yescomplemented
202#2464C2214yescomplemented
203#2461C2214yescomplemented
204#2461C2214yescomplemented
205#2456C2214yescomplemented
206#2452C2212yescomplemented
207#2445C2212yes—
208#2445C2212yes—
209#2445C2212yes—
210#2445C2212yescomplemented
211#2440C2212yescomplemented
212#2440C2212yescomplemented
213#2433C2212yes—
214#2433C2212yes—
215#2433C2212yes—
216#2428C2212yes—
217#2428C2212yescomplemented
218#2428C2214yescomplemented
219#2428C2212yescomplemented
220#2428C2212yescomplemented
221#2428C2212yescomplemented
222#2428C2212yescomplemented
223#2424C2214yes—
224#2424C2214yescomplemented
225#2422C2212yes—
226#2422C2212yescomplemented
227#2417C2212yescomplemented
228#2417C2212yescomplemented
229#2416C2212yescomplemented
230#2416C2212yescomplemented
231#2416C2212yescomplemented
232#2415C2212yescomplemented
233#2415C2212yescomplemented
234#2414C2212yes—
235#2414C2212yescomplemented
236#2414C2214yescomplemented
237#2411C2214yescomplemented
238#2409C2212yescomplemented
239#2409C2212yescomplemented
240#2408C2212yes—
241#2408C2212yes—
242#2408C2212yes—
243#2407C2212yes—
244#2407C2212yes—
245#2407C2212yes—
246#2407C2212yescomplemented
247#2366C2212yescomplemented
248#2363C2214yescomplemented
249#2361C2212yescomplemented
250#2358C2214yescomplemented
251#2354C2211yescharacteristic
252#2354C2211yescharacteristic, complemented
253#2354C2212yescomplemented
254#2352C2212yescomplemented
255#2352C2212yescomplemented
256D4×C4⋊C4C2211yescharacteristic, complemented
257D4×C4⋊C4C2211yescharacteristic, complemented
258D4×C22⋊C4C2212yes—
259#2324C2214yescomplemented
260#2321C2214yescomplemented
261C4×C4⋊Q8C2211yescharacteristic, complemented
262C4×#127C2211yescharacteristic
263C4×#127C2211yescharacteristic
264C4×#127C2211yescharacteristic
265C4×#127C2211yescharacteristic, complemented
266C4×#127C2212yescomplemented
267C4×#127C2211yescharacteristic, complemented
268C4×#127C2212yescomplemented
269C4×#127C2212yescomplemented
270C4×#125C2211yescharacteristic, complemented
271C4×#125C2211yescharacteristic, complemented
272C4×#126C2212yescomplemented
273C4×#126C2212yescomplemented
274C4×#124C2211yescharacteristic
275C4×#124C2211yescharacteristic
276C4×#124C2212yescomplemented
277C4×C22⋊Q8C2211yescharacteristic, complemented
278C4×C22⋊Q8C2211yescharacteristic, complemented
279C4×#123C2212yescomplemented
280C4×#123C2212yescomplemented
281C4×#121C2211yescharacteristic
282C4×#121C2211yescharacteristic
283C4×#121C2212yescomplemented
284C4×#121C2212yescomplemented
285C4×#121C2212yescomplemented
286#2298C2212yescomplemented
287#2295C2211yescharacteristic, complemented
288#2293C2211yescharacteristic
289#2293C2212yescomplemented
290#2293C2212yescomplemented
291#2293C2212yescomplemented
292C2×#390C2212yes—
293#2290C2212yescomplemented
294#2283C2211yescharacteristic, complemented
295C42×Q8C2211yescharacteristic, complemented
296C42×D4C2211yescharacteristic
297C42×D4C2212yescomplemented
298C4×#117C2212yescomplemented
299C2×C43C2211yescharacteristic, complemented
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2312yes—
304C23×Q8C2312yes—
305C23×D4C2312yes—
306C23×D4C2312yes—
307#563—232no—
308#560—232no—
309#555—232no—
310#553—216no—
311#553—216no—
312#552—216no—
313#552—216no—
314#551—232no—
315#550—44no—
316D4×Q8—44no—
317#548—216no—
318#548—216no—
319#548—48no—
320#547—44no—
321#546—216no—
322#546—216no—
323#546—48no—
324D42—44no—
325#540—232no—
326#540—232no—
327#538—232no—
328#538—232no—
329#537—216no—
330#537—216no—
331#536—216no—
332#535—216no—
333#532—216no—
334#532—44no—
335#532—48no—
336#532—44no—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2314yes—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2312yes—
344C2×#127C2311yescharacteristic
345C2×#127C2312yes—
346C2×#127C2314yes—
347C2×#127C2311yescharacteristic
348C2×#127C2311yescharacteristic
349C2×#127C2312yes—
350C2×#127C2312yes—
351C2×#127C2311yescharacteristic
352C2×#127C2311yescharacteristic
353C2×#127C2312yes—
354C2×#127C2312yes—
355C2×#127C2311yescharacteristic
356C2×#127C2312yes—
357C2×#127C2311yescharacteristic
358C2×#127C2312yes—
359#529—216no—
360#529D4116yescomplemented
361C2×#126C2314yes—
362C2×#126C2314yes—
363C2×#126C2314yes—
364C2×#126C2314yes—
365C2×#126C2314yes—
366C2×#126C2312yes—
367C2×#125C2312yes—
368C2×#125C2314yes—
369C2×#125C2314yes—
370C2×#125C2311yescharacteristic
371C2×#124C2312yes—
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2314yes—
376C2×#124C2314yes—
377C2×#124C2314yes—
378C2×#124C2314yes—
379C2×#124C2312yes—
380C2×#124C2312yes—
381C2×#124C2312yes—
382C2×#124C2312yes—
383C2×#124C2314yes—
384C2×#124C2311yescharacteristic
385C2×#123C2314yes—
386C2×#123C2314yes—
387C2×#123C2314yes—
388C2×#123C2314yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×#123C2314yes—
394C2×#123C2314yes—
395C2×#123C2314yes—
396C2×#123C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2311yescharacteristic
413C2×#121C2312yes—
414C2×#121C2312yes—
415C2×#121C2312yes—
416C2×#121C2314yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2314yes—
422C2×#121C2314yes—
423C2×#121C2314yes—
424C2×#121C2314yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2314yes—
428C2×#121C2314yes—
429C2×#121C2314yes—
430C2×#121C2314yes—
431C2×#121C2314yes—
432C2×#121C2314yes—
433C2×#121C2314yes—
434C2×#121C2314yes—
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2311yescharacteristic
439C2×#121C2312yes—
440C2×#121C2311yescharacteristic
441C2×#121C2312yes—
442C2×#121C2311yescharacteristic
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2314yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2311yescharacteristic
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2314yes—
456C2×#121C2314yes—
457C2×#121C2312yes—
458C2×#121C2314yes—
459C2×#121C2311yescharacteristic
460C2×#120C2314yes—
461C2×#120C2314yes—
462C2×#120C2314yes—
463C2×#120C2314yes—
464C2×#120C2314yes—
465C2×#120C2314yes—
466C2×#120C2314yes—
467C2×#120C2314yes—
468C2×C4×Q8C2312yes—
469C2×C4×Q8C2311yescharacteristic
470C2×C4×Q8C2311yescharacteristic
471C2×C4×Q8C2311yescharacteristic
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2312yes—
483C2×C4×D4C2314yes—
484C2×C4×D4C2314yes—
485C2×C4×D4C2314yes—
486C2×C4×D4C2314yes—
487C2×C4×D4C2314yes—
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2314yes—
498C2×C4×D4C2312yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2312yes—
501C2×C4×D4C2312yes—
502C2×C4×D4C2312yes—
503C2×C4×D4C2311yescharacteristic
504C2×C4×D4C2312yes—
505C2×#117C2314yes—
506C2×#117C2312yes—
507C2×#117C2312yes—
508C2×#117C2314yes—
509C2×#117C2314yes—
510C2×#117C2312yes—
511C2×#117C2312yes—
512C22×C4⋊C4C2312yes—
513C22×C4⋊C4C2312yes—
514C22×C4⋊C4C2312yes—
515C22×C22⋊C4C2314yes—
516C22×C22⋊C4C2314yes—
517C22×C22⋊C4C2314yes—
518C22×C42C2311yescharacteristic
519C22×C42C2311yescharacteristic
520C22×C42C2311yescharacteristic
521C22×C42C2311yescharacteristic
522C22×C42C2312yes—
523C22×C42C2311yescharacteristic
524C22×C42C2311yescharacteristic
525C22×C42C2311yescharacteristic
526#400C2314yes—
527#400C2314yes—
528#399C2314yes—
529#399C2314yes—
530#399C2314yes—
531#399C2314yes—
532#399C2314yes—
533#399C2314yes—
534#398C2314yes—
535#398C2314yes—
536#398C2314yes—
537#398C2314yes—
538#398C2314yes—
539#397C2314yes—
540#397C2314yes—
541#397C2314yes—
542#397C2314yes—
543#397C2314yes—
544#396C2314yes—
545#396C2314yes—
546#396C2314yes—
547#396C2314yes—
548#396C2314yes—
549#396C2314yes—
550#395C2314yes—
551#395C2314yes—
552#395C2314yes—
553#395C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#393C2314yes—
580#393C2314yes—
581#393C2314yes—
582#393C2314yes—
583#392C2314yes—
584#392C2314yes—
585#392C2314yes—
586#392C2314yes—
587#392C2314yes—
588#392C2314yes—
589#392C2314yes—
590#392C2314yes—
591#392C2314yes—
592#392C2314yes—
593#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#392C2314yes—
597#392C2314yes—
598#392C2314yes—
599#392C2314yes—
600#392C2314yes—
601#392C2314yes—
602#392C2314yes—
603#392C2314yes—
604#392C2314yes—
605#392C2314yes—
606#391C2312yes—
607#391C2312yes—
608#391C2311yescharacteristic
609#391C2311yescharacteristic
610#390C2311yescharacteristic
611#390C2312yes—
612#390C2312yes—
613#390C2312yes—
614#390C2311yescharacteristic
615#390C2311yescharacteristic
616#390C2312yes—
617#390C2311yescharacteristic
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2311yescharacteristic
622#390C2312yes—
623#390C2312yes—
624#390C2312yes—
625#390C2311yescharacteristic
626#390C2311yescharacteristic
627#390C2312yes—
628#390C2312yes—
629#390C2312yes—
630#390C2312yes—
631#390C2312yes—
632#390C2312yes—
633#390C2311yescharacteristic
634#390C2312yes—
635#390C2312yes—
636#390C2312yes—
637#390C2312yes—
638#390C2312yes—
639#390C2312yes—
640#390C2312yes—
641#390C2312yes—
642#390C2314yes—
643#390C2314yes—
644#390C2314yes—
645#390C2314yes—
646#390C2314yes—
647#390C2312yes—
648#390C2312yes—
649#390C2312yes—
650#390C2312yes—
651#390C2312yes—
652#390C2312yes—
653#390C2314yes—
654#390C2312yes—
655#390C2312yes—
656#390C2312yes—
657#390C2314yes—
658#390C2312yes—
659#390C2314yes—
660#390C2312yes—
661#390C2314yes—
662#390C2311yescharacteristic
663#390C2311yescharacteristic
664#390C2312yes—
665#390C2312yes—
666#390C2312yes—
667#390C2314yes—
668#389C2311yescharacteristic
669#389C2311yescharacteristic
670#389C2311yescharacteristic
671#389C2311yescharacteristic
672#389C2312yes—
673#389C2312yes—
674#389C2314yes—
675#389C2312yes—
676#389C2312yes—
677#389C2312yes—
678#389C2312yes—
679#389C2312yes—
680#389C2312yes—
681#389C2312yes—
682#389C2312yes—
683#389C2312yes—
684#389C2314yes—
685#389C2312yes—
686#388C2312yes—
687#388C2312yes—
688#388C2312yes—
689#388C2312yes—
690#388C2312yes—
691#388C2312yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2312yes—
718#388C2312yes—
719#388C2314yes—
720#387C2312yes—
721#387C2312yes—
722#387C2312yes—
723#387C2312yes—
724#387C2312yes—
725#387C2312yes—
726#387C2312yes—
727#387C2312yes—
728#387C2314yes—
729#387C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2312yes—
750#386C2312yes—
751#386C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2312yes—
761#385C2312yes—
762#384C2311yescharacteristic
763#384C2311yescharacteristic
764#384C2311yescharacteristic
765#384C2311yescharacteristic
766#384C2311yescharacteristic
767#384C2312yes—
768#384C2312yes—
769#384C2312yes—
770#384C2311yescharacteristic
771#384C2312yes—
772#383C2312yes—
773#382C2311yescharacteristic
774#382C2311yescharacteristic
775#382C2312yes—
776#381C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2312yes—
783#380C2312yes—
784#380C2312yes—
785#380C2314yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2314yes—
790#380C2311yescharacteristic
791#380C2311yescharacteristic
792#380C2312yes—
793#379C2314yes—
794#379C2314yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2314yes—
832#376C2312yes—
833#376C2312yes—
834C43C2311yescharacteristic
835C43C2311yescharacteristic
836C43C2311yescharacteristic
837C43C2311yescharacteristic
838C43C2311yescharacteristic
839C43C2311yescharacteristic
840C43C2312yes—
841C43C2311yescharacteristic
842C43C2311yescharacteristic
843C25C2414yes—
844C2×#41—28no—
845C2×#41—28no—
846C2×#41—28no—
847C2×#41—28no—
848C2×#41—44no—
849C2×#41—44no—
850C2×#41—44no—
851C2×#41—44no—
852C2×#41—44no—
853C2×#41—44no—
854C2×#41—44no—
855C2×#41—44no—
856C22×Q8—28no—
857C22×Q8—44no—
858C22×Q8—44no—
859C22×Q8C2412yes—
860C22×Q8C2411yescharacteristic
861C22×Q8C2414yes—
862C22×Q8C2412yes—
863C22×Q8C2412yes—
864C22×D4—28no—
865C22×D4—44no—
866C22×D4—44no—
867C22×D4—44no—
868C22×D4—44no—
869C22×D4—44no—
870C22×D4C2411yescharacteristic
871C22×D4C2411yescharacteristic
872C22×D4C2411yescharacteristic
873C22×D4C2412yes—
874C22×D4C2412yes—
875C22×D4C2411yescharacteristic
876C22×D4C2411yescharacteristic
877C22×D4C2414yes—
878C22×D4C2414yes—
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2414yes—
886C22×D4C2414yes—
887C22×D4C2414yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2414yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2412yes—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2412yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C22×D4C2414yes—
905C22×D4C2414yes—
906C22×D4C2412yes—
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2412yes—
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2411yescharacteristic
913C23×C4C2411yescharacteristic
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2414yes—
917C23×C4C2412yes—
918C23×C4C2414yes—
919C23×C4C2414yes—
920C23×C4C2414yes—
921C23×C4C2414yes—
922C23×C4C2414yes—
923C23×C4C2411yescharacteristic
924C23×C4C2412yes—
925C23×C4C2411yescharacteristic
926C23×C4C2411yescharacteristic
927C4⋊Q8—216no—
928C4⋊Q8—28no—
929C4⋊Q8—24no—
930C4⋊Q8—42no—
931C4⋊Q8—42no—
932C4⋊Q8—44no—
933C4⋊Q8—44no—
934#127—216no—
935#127—28no—
936#127—24no—
937#127—44no—
938#127—42no—
939#127—42no—
940#127—42no—
941#127—42no—
942#127—44no—
943#127—44no—
944#127—44no—
945#127—42no—
946#127—42no—
947#127—44no—
948#127—44no—
949#126—216no—
950#126—216no—
951#126—216no—
952#126—216no—
953#126—216no—
954#126C2×D4116yescomplemented
955#125—216no—
956#125—216no—
957#125—28no—
958#125C2×D418yescomplemented
959#124—216no—
960#124—216no—
961#124—216no—
962#124—28no—
963#124—28no—
964#124—28no—
965#124—216no—
966#124—28no—
967#124—44no—
968#124—44no—
969#124—44no—
970#124—44no—
971#124—48no—
972#124C2×D418yes—
973#123—216no—
974#123—216no—
975#123—216no—
976#123—216no—
977#123—216no—
978#123—216no—
979#123—216no—
980#123—216no—
981#123—216no—
982#123—48no—
983#123—48no—
984#123C2×D4116yescomplemented
985C22⋊Q8—28no—
986C22⋊Q8—28no—
987C22⋊Q8—28no—
988C22⋊Q8—28no—
989C22⋊Q8—28no—
990C22⋊Q8—216no—
991C22⋊Q8—216no—
992C22⋊Q8—216no—
993C22⋊Q8—216no—
994C22⋊Q8—48no—
995C22⋊Q8—48no—
996C22⋊Q8—44no—
997C22⋊Q8—44no—
998C22⋊Q8—44no—
999C22⋊Q8—44no—
1000C22⋊Q8C2×D418yescomplemented
1001#121—28no—
1002#121—216no—
1003#121—216no—
1004#121—28no—
1005#121—28no—
1006#121—28no—
1007#121—28no—
1008#121—28no—
1009#121—28no—
1010#121—216no—
1011#121—28no—
1012#121—28no—
1013#121—216no—
1014#121—216no—
1015#121—216no—
1016#121—216no—
1017#121—216no—
1018#121—216no—
1019#121—216no—
1020#121—216no—
1021#121—216no—
1022#121—44no—
1023#121—44no—
1024#121—44no—
1025#121—44no—
1026#121—44no—
1027#121—48no—
1028#121—48no—
1029#121—48no—
1030#121—48no—
1031#121—48no—
1032#121—44no—
1033#121—44no—
1034#121—44no—
1035#121—42no—
1036#121—42no—
1037#121—42no—
1038#121—44no—
1039#121—44no—
1040#121—42no—
1041#121—44no—
1042#121—44no—
1043#121—44no—
1044#121—44no—
1045#121—44no—
1046#121—44no—
1047#121C2×D418yes—
1048#120—216no—
1049#120—216no—
1050#120—216no—
1051#120—216no—
1052#120—48no—
1053#120—48no—
1054#120—48no—
1055#120—48no—
1056C4×Q8—28no—
1057C4×Q8—24no—
1058C4×Q8—24no—
1059C4×Q8C2×D418yescomplemented
1060C4×D4—216no—
1061C4×D4—216no—
1062C4×D4—216no—
1063C4×D4—216no—
1064C4×D4—28no—
1065C4×D4—28no—
1066C4×D4—28no—
1067C4×D4—28no—
1068C4×D4—28no—
1069C4×D4—216no—
1070C4×D4—24no—
1071C4×D4—28no—
1072C4×D4—24no—
1073C4×D4—28no—
1074C4×D4—24no—
1075C4×D4—24no—
1076C4×D4—24no—
1077C4×D4—24no—
1078C4×D4—44no—
1079C4×D4—48no—
1080C4×D4—44no—
1081C4×D4—44no—
1082C4×D4—44no—
1083C4×D4—44no—
1084C4×D4—44no—
1085C4×D4—44no—
1086C4×D4—44no—
1087C4×D4—44no—
1088C4×D4—44no—
1089C4×D4—44no—
1090C4×D4—44no—
1091C4×D4C2×D418yes—
1092C4×D4C2×D4116yescomplemented
1093#117—28no—
1094#117—28no—
1095#117—216no—
1096#117—216no—
1097#117—216no—
1098#117—44no—
1099#117C2×D4116yescomplemented
1100C2×C4⋊C4—28no—
1101C2×C4⋊C4—28no—
1102C2×C4⋊C4—44no—
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2411yescharacteristic
1150C2×C4⋊C4C2411yescharacteristic
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C22⋊C4—216no—
1156C2×C22⋊C4—216no—
1157C2×C22⋊C4—48no—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C42—24no—
1233C2×C42—24no—
1234C2×C42—44no—
1235C2×C42—42no—
1236C2×C42—42no—
1237C2×C42—42no—
1238C2×C42—42no—
1239C2×C42C2×D418yescomplemented
1240C2×C42C2414yes—
1241C2×C42C2414yes—
1242C2×C42C2411yescharacteristic
1243C2×C42C2414yes—
1244C2×C42C2411yescharacteristic
1245C2×C42C2411yescharacteristic
1246C2×C42C2412yes—
1247C2×C42C2412yes—
1248C2×C42C2412yes—
1249C2×C42C2411yescharacteristic
1250C2×C42C2411yescharacteristic
1251C2×C42C2412yes—
1252C2×C42C2411yescharacteristic
1253C2×C42C2411yescharacteristic
1254C2×C42C2411yescharacteristic
1255C2×C42C2411yescharacteristic
1256C2×C42C2411yescharacteristic
1257C2×C42C2411yescharacteristic
1258C2×C42C2411yescharacteristic
1259C2×C42C2411yescharacteristic
1260C2×C42C2411yescharacteristic
1261C2×C42C2412yes—
1262C2×C42C2412yes—
1263C2×C42C2411yescharacteristic
1264C2×C42C2411yescharacteristic
1265C2×C42C2411yescharacteristic
1266C2×C42C2411yescharacteristic
1267C2×C42C2411yescharacteristic
1268C2×C42C2411yescharacteristic
1269C2×C42C2411yescharacteristic
1270C2×C42C2411yescharacteristic
1271C2×C42C2412yes—
1272C2×C42C2412yes—
1273C2×C42C2411yescharacteristic
1274C2×C42C2412yes—
1275C2×C42C2411yescharacteristic
1276C2×C42C2411yescharacteristic
1277C2×C42C2411yescharacteristic
1278C2×C42C2411yescharacteristic
1279C2×C42C2411yescharacteristic
1280#95C2412yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2414yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2412yes—
1304#95C2412yes—
1305#95C2412yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314C24—28no—
1315C24—44no—
1316C24—44no—
1317C24—44no—
1318C24—44no—
1319C24—44no—
1320C24—44no—
1321C24C2512yes—
1322C24C2514yes—
1323C24C2512yes—
1324C24C2512yes—
1325C24C2512yes—
1326C24C2512yes—
1327C24C2511yescharacteristic
1328#41—816no—
1329#41—816no—
1330#41—816no—
1331#41—816no—
1332C2×Q8—24no—
1333C2×Q8—24no—
1334C2×Q8—28no—
1335C2×Q8—24no—
1336C2×Q8—22no—
1337C2×Q8—22no—
1338C2×Q8—24no—
1339C2×Q8—24no—
1340C2×Q8—44no—
1341C2×Q8—44no—
1342C2×Q8—42no—
1343C2×Q8—42no—
1344C2×Q8—42no—
1345C2×Q8—42no—
1346C2×Q8—816no—
1347C2×Q8C22×D414yes—
1348C2×D4—28no—
1349C2×D4—28no—
1350C2×D4—28no—
1351C2×D4—24no—
1352C2×D4—28no—
1353C2×D4—24no—
1354C2×D4—24no—
1355C2×D4—28no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—24no—
1359C2×D4—24no—
1360C2×D4—28no—
1361C2×D4—28no—
1362C2×D4—24no—
1363C2×D4—24no—
1364C2×D4—24no—
1365C2×D4—28no—
1366C2×D4—24no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—24no—
1374C2×D4—24no—
1375C2×D4—24no—
1376C2×D4—24no—
1377C2×D4—24no—
1378C2×D4—24no—
1379C2×D4—22no—
1380C2×D4—22no—
1381C2×D4—24no—
1382C2×D4—22no—
1383C2×D4—22no—
1384C2×D4—24no—
1385C2×D4—22no—
1386C2×D4—22no—
1387C2×D4—22no—
1388C2×D4—22no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—24no—
1392C2×D4—24no—
1393C2×D4—42no—
1394C2×D4—42no—
1395C2×D4—44no—
1396C2×D4—42no—
1397C2×D4—42no—
1398C2×D4—42no—
1399C2×D4—42no—
1400C2×D4—42no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—42no—
1408C2×D4—42no—
1409C2×D4—42no—
1410C2×D4—42no—
1411C2×D4—42no—
1412C2×D4—42no—
1413C2×D4—42no—
1414C2×D4—42no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—42no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—44no—
1424C2×D4—44no—
1425C2×D4—44no—
1426C2×D4—42no—
1427C2×D4—42no—
1428C2×D4—42no—
1429C2×D4—42no—
1430C2×D4—44no—
1431C2×D4—42no—
1432C2×D4—42no—
1433C2×D4—42no—
1434C2×D4—42no—
1435C2×D4—42no—
1436C2×D4—42no—
1437C2×D4—42no—
1438C2×D4—42no—
1439C2×D4—42no—
1440C2×D4—42no—
1441C2×D4—42no—
1442C2×D4—42no—
1443C2×D4—42no—
1444C2×D4—42no—
1445C2×D4—42no—
1446C2×D4—42no—
1447C2×D4—44no—
1448C2×D4—44no—
1449C2×D4—44no—
1450C2×D4—44no—
1451C2×D4—44no—
1452C2×D4—44no—
1453C2×D4—44no—
1454C2×D4—44no—
1455C2×D4—44no—
1456C2×D4—44no—
1457C2×D4—816no—
1458C2×D4—816no—
1459C2×D4C22×D414yes—
1460C2×D4C22×D418yes—
1461C22×C4—22no—
1462C22×C4—22no—
1463C22×C4—28no—
1464C22×C4—24no—
1465C22×C4—24no—
1466C22×C4—24no—
1467C22×C4—24no—
1468C22×C4—22no—
1469C22×C4—22no—
1470C22×C4—22no—
1471C22×C4—22no—
1472C22×C4—24no—
1473C22×C4—24no—
1474C22×C4—24no—
1475C22×C4—24no—
1476C22×C4—24no—
1477C22×C4—24no—
1478C22×C4—24no—
1479C22×C4—24no—
1480C22×C4—24no—
1481C22×C4—22no—
1482C22×C4—22no—
1483C22×C4—22no—
1484C22×C4—22no—
1485C22×C4—24no—
1486C22×C4—24no—
1487C22×C4—28no—
1488C22×C4—28no—
1489C22×C4—28no—
1490C22×C4—28no—
1491C22×C4—28no—
1492C22×C4—24no—
1493C22×C4—42no—
1494C22×C4—41no—
1495C22×C4—41no—
1496C22×C4—41no—
1497C22×C4—41no—
1498C22×C4—41no—
1499C22×C4—41no—
1500C22×C4—41no—
1501C22×C4—41no—
1502C22×C4—42no—
1503C22×C4—42no—
1504C22×C4—44no—
1505C22×C4—44no—
1506C22×C4—44no—
1507C22×C4—44no—
1508C22×C4—44no—
1509C22×C4—44no—
1510C22×C4—44no—
1511C22×C4—44no—
1512C22×C4—44no—
1513C22×C4—44no—
1514C22×C4—42no—
1515C22×C4—44no—
1516C22×C4—44no—
1517C22×C4C22×D414yes—
1518C22×C4C22×D414yes—
1519C22×C4C22×D414yes—
1520C22×C4C22×D418yes—
1521C22×C4C2512yes—
1522C22×C4C2512yes—
1523C22×C4C2512yes—
1524C22×C4C2512yes—
1525C22×C4C2511yescharacteristic
1526C22×C4C2511yescharacteristic
1527C22×C4C2514yes—
1528C22×C4C2514yes—
1529C22×C4C2512yes—
1530C22×C4C2512yes—
1531C22×C4C2514yes—
1532C22×C4C2512yes—
1533C22×C4C2512yes—
1534C22×C4C2511yescharacteristic
1535C22×C4C2511yescharacteristic
1536C22×C4C2511yescharacteristic
1537C22×C4C2511yescharacteristic
1538C22×C4C2512yes—
1539C22×C4C2512yes—
1540C22×C4C2512yes—
1541C22×C4C2511yescharacteristic
1542C22×C4C2511yescharacteristic
1543C22×C4C2511yescharacteristic
1544C22×C4C2511yescharacteristic
1545C22×C4C2511yescharacteristic
1546C22×C4C2511yescharacteristic
1547C22×C4C2511yescharacteristic
1548C22×C4C2511yescharacteristic
1549C4⋊C4—24no—
1550C4⋊C4—24no—
1551C4⋊C4—28no—
1552C4⋊C4—28no—
1553C4⋊C4—28no—
1554C4⋊C4—28no—
1555C4⋊C4—28no—
1556C4⋊C4—28no—
1557C4⋊C4—28no—
1558C4⋊C4—28no—
1559C4⋊C4—24no—
1560C4⋊C4—24no—
1561C4⋊C4—24no—
1562C4⋊C4—24no—
1563C4⋊C4—28no—
1564C4⋊C4—28no—
1565C4⋊C4—22no—
1566C4⋊C4—24no—
1567C4⋊C4—22no—
1568C4⋊C4—22no—
1569C4⋊C4—22no—
1570C4⋊C4—22no—
1571C4⋊C4—24no—
1572C4⋊C4—24no—
1573C4⋊C4—22no—
1574C4⋊C4—24no—
1575C4⋊C4—24no—
1576C4⋊C4—22no—
1577C4⋊C4—22no—
1578C4⋊C4—24no—
1579C4⋊C4—24no—
1580C4⋊C4—24no—
1581C4⋊C4—24no—
1582C4⋊C4—24no—
1583C4⋊C4—44no—
1584C4⋊C4—42no—
1585C4⋊C4—42no—
1586C4⋊C4—42no—
1587C4⋊C4—42no—
1588C4⋊C4—42no—
1589C4⋊C4—42no—
1590C4⋊C4—42no—
1591C4⋊C4—44no—
1592C4⋊C4—42no—
1593C4⋊C4—44no—
1594C4⋊C4—44no—
1595C4⋊C4C22×D414yes—
1596C4⋊C4C22×D414yes—
1597C4⋊C4C22×D418yes—
1598C4⋊C4C22×D418yes—
1599C4⋊C4C22×D418yes—
1600C4⋊C4C22×D418yes—
1601C22⋊C4—28no—
1602C22⋊C4—28no—
1603C22⋊C4—28no—
1604C22⋊C4—24no—
1605C22⋊C4—24no—
1606C22⋊C4—28no—
1607C22⋊C4—28no—
1608C22⋊C4—28no—
1609C22⋊C4—28no—
1610C22⋊C4—24no—
1611C22⋊C4—24no—
1612C22⋊C4—28no—
1613C22⋊C4—28no—
1614C22⋊C4—28no—
1615C22⋊C4—28no—
1616C22⋊C4—28no—
1617C22⋊C4—24no—
1618C22⋊C4—24no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—28no—
1622C22⋊C4—28no—
1623C22⋊C4—28no—
1624C22⋊C4—24no—
1625C22⋊C4—28no—
1626C22⋊C4—24no—
1627C22⋊C4—24no—
1628C22⋊C4—24no—
1629C22⋊C4—24no—
1630C22⋊C4—24no—
1631C22⋊C4—24no—
1632C22⋊C4—24no—
1633C22⋊C4—24no—
1634C22⋊C4—24no—
1635C22⋊C4—28no—
1636C22⋊C4—24no—
1637C22⋊C4—24no—
1638C22⋊C4—28no—
1639C22⋊C4—28no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4—42no—
1643C22⋊C4—44no—
1644C22⋊C4—44no—
1645C22⋊C4—42no—
1646C22⋊C4—44no—
1647C22⋊C4—42no—
1648C22⋊C4—42no—
1649C22⋊C4—44no—
1650C22⋊C4—42no—
1651C22⋊C4—42no—
1652C22⋊C4—42no—
1653C22⋊C4—42no—
1654C22⋊C4—42no—
1655C22⋊C4—42no—
1656C22⋊C4—42no—
1657C22⋊C4—42no—
1658C22⋊C4—44no—
1659C22⋊C4—44no—
1660C22⋊C4—44no—
1661C22⋊C4—44no—
1662C22⋊C4—44no—
1663C22⋊C4—44no—
1664C22⋊C4—44no—
1665C22⋊C4—44no—
1666C22⋊C4—44no—
1667C22⋊C4—44no—
1668C22⋊C4—44no—
1669C22⋊C4—44no—
1670C22⋊C4C22×D418yes—
1671C22⋊C4C22×D418yes—
1672C22⋊C4C22×D418yes—
1673C22⋊C4C22×D418yes—
1674C22⋊C4C22×D418yes—
1675C42—28no—
1676C42—28no—
1677C42—28no—
1678C42—22no—
1679C42—22no—
1680C42—22no—
1681C42—22no—
1682C42—22no—
1683C42—22no—
1684C42—24no—
1685C42—24no—
1686C42—22no—
1687C42—22no—
1688C42—22no—
1689C42—22no—
1690C42—24no—
1691C42—22no—
1692C42—22no—
1693C42—22no—
1694C42—22no—
1695C42—24no—
1696C42—42no—
1697C42—41no—
1698C42—41no—
1699C42—41no—
1700C42—42no—
1701C42—41no—
1702C42—41no—
1703C42—41no—
1704C42—41no—
1705C42—41no—
1706C42—42no—
1707C42—42no—
1708C42C22×D414yes—
1709C42C22×D414yes—
1710C42C22×D414yes—
1711C42C22×D414yes—
1712C42C22×D418yes—
1713C42H(5,𝔽2)14yes—
1714C42H(5,𝔽2)14yes—
1715C23—22no—
1716C23—22no—
1717C23—21no—
1718C23—21no—
1719C23—22no—
1720C23—22no—
1721C23—21no—
1722C23—21no—
1723C23—22no—
1724C23—21no—
1725C23—21no—
1726C23—22no—
1727C23—22no—
1728C23—24no—
1729C23—22no—
1730C23—22no—
1731C23—22no—
1732C23—24no—
1733C23—22no—
1734C23—22no—
1735C23—22no—
1736C23—22no—
1737C23—22no—
1738C23—22no—
1739C23—22no—
1740C23—22no—
1741C23—24no—
1742C23—24no—
1743C23—24no—
1744C23—22no—
1745C23—22no—
1746C23—22no—
1747C23—22no—
1748C23—22no—
1749C23—22no—
1750C23—22no—
1751C23—22no—
1752C23—24no—
1753C23—24no—
1754C23—22no—
1755C23—22no—
1756C23—22no—
1757C23—22no—
1758C23—22no—
1759C23—22no—
1760C23—22no—
1761C23—22no—
1762C23—88no—
1763C23—88no—
1764C23—88no—
1765C23—88no—
1766C23—88no—
1767C23—164no—
1768C23—164no—
1769C23C23×D414yes—
1770C23C23×D412yes—
1771C23C2611yescharacteristic
1772Q8—28no—
1773Q8—48no—
1774Q8—88no—
1775Q8—84no—
1776Q8—84no—
1777D4—28no—
1778D4—48no—
1779D4—48no—
1780D4—44no—
1781D4—44no—
1782D4—44no—
1783D4—48no—
1784D4—44no—
1785D4—84no—
1786D4—84no—
1787D4—88no—
1788D4—84no—
1789D4—84no—
1790D4—84no—
1791D4—84no—
1792D4—88no—
1793D4—84no—
1794D4—84no—
1795D4—84no—
1796D4—84no—
1797D4—84no—
1798D4—84no—
1799D4—84no—
1800D4—88no—
1801D4—88no—
1802D4—88no—
1803D4—88no—
1804D4—88no—
1805D4—84no—
1806D4—84no—
1807D4—84no—
1808D4—84no—
1809D4—88no—
1810D4—88no—
1811D4—88no—
1812D4—164no—
1813D4—164no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—22no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—22no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—28no—
1841C2×C4—22no—
1842C2×C4—24no—
1843C2×C4—22no—
1844C2×C4—24no—
1845C2×C4—24no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—21no—
1849C2×C4—21no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—24no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—24no—
1864C2×C4—21no—
1865C2×C4—21no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—21no—
1869C2×C4—21no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—24no—
1875C2×C4—24no—
1876C2×C4—24no—
1877C2×C4—24no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—48no—
1881C2×C4—44no—
1882C2×C4—44no—
1883C2×C4—44no—
1884C2×C4—44no—
1885C2×C4—44no—
1886C2×C4—48no—
1887C2×C4—48no—
1888C2×C4—48no—
1889C2×C4—48no—
1890C2×C4—44no—
1891C2×C4—48no—
1892C2×C4—88no—
1893C2×C4—88no—
1894C2×C4—88no—
1895C2×C4—84no—
1896C2×C4—88no—
1897C2×C4—88no—
1898C2×C4—88no—
1899C2×C4C23×D412yes—
1900C2×C4C23×D414yes—
1901C2×C4C23×D414yes—
1902C2×C4C23×D412yes—
1903C2×C4C23×D412yes—
1904C2×C4C23×D412yes—
1905C2×C4C23×D412yes—
1906C2×C4C23×D414yes—
1907C2×C4C23×D412yes—
1908C2×C4C2×H(5,𝔽2)12yes—
1909C2×C4C2×H(5,𝔽2)12yes—
1910C2×C4C2×H(5,𝔽2)12yes—
1911C2×C4C2×H(5,𝔽2)12yes—
1912C2×C4C2×H(5,𝔽2)12yes—
1913C2×C4C2×H(5,𝔽2)12yes—
1914C2×C4#58512yes—
1915C2×C4#58512yes—
1916C2×C4#58512yes—
1917C2×C4#58512yes—
1918C22—22no—
1919C22—24no—
1920C22—22no—
1921C22—22no—
1922C22—24no—
1923C22—24no—
1924C22—41no—
1925C22—42no—
1926C22—41no—
1927C22—42no—
1928C22—41no—
1929C22—41no—
1930C22—42no—
1931C22—42no—
1932C22—42no—
1933C22—44no—
1934C22—42no—
1935C22—42no—
1936C22—42no—
1937C22—42no—
1938C22—42no—
1939C22—42no—
1940C22—44no—
1941C22—42no—
1942C22—42no—
1943C22—42no—
1944C22—42no—
1945C22—42no—
1946C22—44no—
1947C22—42no—
1948C22—42no—
1949C22—44no—
1950C22—42no—
1951C22—42no—
1952C22—42no—
1953C22—42no—
1954C22—44no—
1955C22—42no—
1956C22—42no—
1957C22—42no—
1958C22—42no—
1959C22—44no—
1960C22—42no—
1961C22—42no—
1962C22—42no—
1963C22—42no—
1964C22—42no—
1965C22—42no—
1966C22—44no—
1967C22—1616no—
1968C22C24×D411yescharacteristic
1969C22C22×H(5,𝔽2)11yescharacteristic
1970C22C22×H(5,𝔽2)11yescharacteristic
1971C22C2×#58511yescharacteristic
1972C22C2×#58511yescharacteristic
1973C22C2×#58511yescharacteristic
1974C22C2×#58511yescharacteristic
1975C4—22no—
1976C4—22no—
1977C4—24no—
1978C4—22no—
1979C4—22no—
1980C4—24no—
1981C4—22no—
1982C4—22no—
1983C4—24no—
1984C4—22no—
1985C4—22no—
1986C4—22no—
1987C4—22no—
1988C4—41no—
1989C4—42no—
1990C4—41no—
1991C4—42no—
1992C4—42no—
1993C4—42no—
1994C4—42no—
1995C4—42no—
1996C4—44no—
1997C4—44no—
1998C4—44no—
1999C4—42no—
2000C4—42no—
2001C4#349814yes—
2002C4#355114yescomplemented
2003C2—42no—
2004C2—44no—
2005C2—82no—
2006C2—82no—
2007C2—82no—
2008C2—84no—
2009C2—82no—
2010C2C2×#355111yescharacteristic
2011C2#6275911yescharacteristic
2012C2C2×#349811yescharacteristic
2013C2#6281211yescharacteristic
2014C2#6281211yescharacteristic
2015C2#6283011yescharacteristic
2016C2#6283011yescharacteristic
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×#3551C2semidirect
2. #59824C2semidirect
3. #59818C2semidirect
4. #59680C2semidirect
5. #59654C2semidirect
6. #59444C2semidirect
7. #59412C2semidirect
8. #45994C2semidirect
9. #45993C2semidirect
10. #45992C2semidirect
11. #39950C2semidirect
12. #39948C2semidirect
13. #39457C2semidirect
14. #39402C2semidirect
15. #39401C2semidirect
16. #39343C2semidirect
17. #39342C2semidirect
18. #39341C2semidirect
19. #39340C2semidirect
20. #39335C2semidirect
21. #39334C2semidirect
22. #38437C2semidirect
23. #37550C2semidirect
24. #36744C2semidirect
25. #36644C2semidirect
26. #36631C2semidirect
27. #36468C2semidirect
28. #36465C2semidirect
29. #36273C2semidirect
30. #36270C2semidirect
31. #36264C2semidirect
32. #36260C2semidirect
33. #35171C2semidirect
34. #35007C2semidirect
35. C4×#529C2semidirect
37. C2×#563C22semidirect
38. C2×#560C22semidirect
39. C2×#555C22semidirect
41. C2×#553C22semidirect
42. C2×#552C22semidirect
43. C2×#552C22semidirect
44. C2×#551C22semidirect
46. C2×D4×Q8C22semidirect
48. C2×#548C22semidirect
49. C2×#548C22semidirect
55. C2×#540C22semidirect
56. C2×#540C22semidirect
57. C2×#538C22semidirect
58. C2×#538C22semidirect
60. C2×#537C22semidirect
61. C2×#536C22semidirect
64. C2×#532C22semidirect
65. C2×#532C22semidirect
66. C2×#532C22semidirect
68. C2×#529C22semidirect
69. #2868C22semidirect
71. #2861C22semidirect
73. #2860C22semidirect
74. #2860C22semidirect
75. #2859C22semidirect
78. #2858C22semidirect
79. #2858C22semidirect
80. #2858C22semidirect
81. #2858C22semidirect
82. #2857C22semidirect
87. #2856C22semidirect
88. #2856C22semidirect
89. #2856C22semidirect
90. #2856C22semidirect
91. #2854C22semidirect
92. #2854C22semidirect
93. #2854C22semidirect
94. #2850C22semidirect
95. #2821C22semidirect
96. #2818C22semidirect
97. #2721C22semidirect
98. #2720C22semidirect
99. #2718C22semidirect
100. #2714C22semidirect
101. #2711C22semidirect
102. #2703C22semidirect
103. #2696C22semidirect
104. #2694C22semidirect
105. #2685C22semidirect
106. #2681C22semidirect
107. #2680C22semidirect
109. #2677C22semidirect
110. #2676C22semidirect
111. #2676C22semidirect
112. #2675C22semidirect
113. #2674C22semidirect
114. #2674C22semidirect
115. #2673C22semidirect
116. #2673C22semidirect
117. #2673C22semidirect
118. #2673C22semidirect
119. #2672C22semidirect
120. #2672C22semidirect
121. #2671C22semidirect
122. #2671C22semidirect
125. #2669C22semidirect
126. #2669C22semidirect
127. #2669C22semidirect
128. #2668C22semidirect
129. #2662C22semidirect
130. #2661C22semidirect
131. #2661C22semidirect
132. #2661C22semidirect
133. #2635C22semidirect
134. #2635C22semidirect
135. #2616C22semidirect
136. #2616C22semidirect
138. #2615C22semidirect
139. #2610C22semidirect
140. #2610C22semidirect
141. #2610C22semidirect
142. #2603C22semidirect
143. #2602C22semidirect
144. #2601C22semidirect
145. #2562C22semidirect
146. #2562C22semidirect
147. #2559C22semidirect
148. #2558C22semidirect
149. #2555C22semidirect
150. #2555C22semidirect
151. #2555C22semidirect
152. #2554C22semidirect
153. #2554C22semidirect
154. #2552C22semidirect
155. #2551C22semidirect
157. #2542C22semidirect
158. #2542C22semidirect
162. #2541C22semidirect
163. #2541C22semidirect
164. #2541C22semidirect
167. #2540C22semidirect
168. #2540C22semidirect
169. #2540C22semidirect
170. #2540C22semidirect
174. #2538C22semidirect
177. #2537C22semidirect
178. #2536C22semidirect
179. #2536C22semidirect
180. #2536C22semidirect
183. #2535C22semidirect
185. #2512C22semidirect
186. #2506C22semidirect
188. #2496C22semidirect
191. #2491C22semidirect
192. #2491C22semidirect
193. #2490C22semidirect
194. #2479C22semidirect
195. #2472C22semidirect
196. #2472C22semidirect
197. #2472C22semidirect
198. #2471C22semidirect
199. #2467C22semidirect
200. #2464C22semidirect
201. #2464C22semidirect
202. #2464C22semidirect
203. #2461C22semidirect
204. #2461C22semidirect
205. #2456C22semidirect
206. #2452C22semidirect
210. #2445C22semidirect
211. #2440C22semidirect
212. #2440C22semidirect
217. #2428C22semidirect
218. #2428C22semidirect
219. #2428C22semidirect
220. #2428C22semidirect
221. #2428C22semidirect
222. #2428C22semidirect
224. #2424C22semidirect
226. #2422C22semidirect
227. #2417C22semidirect
228. #2417C22semidirect
229. #2416C22semidirect
230. #2416C22semidirect
231. #2416C22semidirect
232. #2415C22semidirect
233. #2415C22semidirect
235. #2414C22semidirect
236. #2414C22semidirect
237. #2411C22semidirect
238. #2409C22semidirect
239. #2409C22semidirect
246. #2407C22semidirect
247. #2366C22semidirect
248. #2363C22semidirect
249. #2361C22semidirect
250. #2358C22semidirect
252. #2354C22semidirect
253. #2354C22semidirect
254. #2352C22semidirect
255. #2352C22semidirect
256. D4×C4⋊C4C22semidirect
257. D4×C4⋊C4C22semidirect
259. #2324C22semidirect
260. #2321C22semidirect
261. C4×C4⋊Q8C22semidirect
265. C4×#127C22semidirect
266. C4×#127C22semidirect
267. C4×#127C22semidirect
268. C4×#127C22semidirect
269. C4×#127C22semidirect
270. C4×#125C22semidirect
271. C4×#125C22semidirect
272. C4×#126C22semidirect
273. C4×#126C22semidirect
276. C4×#124C22semidirect
277. C4×C22⋊Q8C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×#123C22semidirect
280. C4×#123C22semidirect
283. C4×#121C22semidirect
284. C4×#121C22semidirect
285. C4×#121C22semidirect
286. #2298C22semidirect
287. #2295C22semidirect
289. #2293C22semidirect
290. #2293C22semidirect
291. #2293C22semidirect
293. #2290C22semidirect
294. #2283C22semidirect
295. C42×Q8C22semidirect
297. C42×D4C22semidirect
298. C4×#117C22semidirect
299. C2×C43C22semidirect
360. #529D4semidirect
954. #126C2×D4semidirect
958. #125C2×D4semidirect
984. #123C2×D4semidirect
1000. C22⋊Q8C2×D4semidirect
1059. C4×Q8C2×D4semidirect
1092. C4×D4C2×D4semidirect
1099. #117C2×D4semidirect
1239. C2×C42C2×D4semidirect
2002. C4#3551semidirect

Maximal subgroups

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

subgroupindex
C2×#35512
#598242
#598182
#596802
#596542
#594442
#594122
#459942
#459932
#459922
#399502
#399482
#394572
#394022
#394012
#393432
#393422
#393412
#393402
#393352
#393342
#384372
#375502
#367442
#366442
#366312
#364682
#364652
#362732
#362702
#362642
#362602
#351712
#350072
C4×#5292