Finite Group Databasebeta

← #7979669

Subgroups — #7979669

Order 512.

7659 conjugacy classes of subgroups.

The subgroup lattice has 2020 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3540C212yesmaximal, complemented
2#59822C211yesmaximal, characteristic, complemented
3#59476C212yesmaximal, complemented
4#59124C211yesmaximal, characteristic, complemented
5#59080C211yesmaximal, characteristic, complemented
6#59001C212yesmaximal, complemented
7#51419C214yesmaximal, complemented
8#50655C214yesmaximal, complemented
9#45996C212yesmaximal, complemented
10#45992C212yesmaximal, complemented
11#45093C212yesmaximal, complemented
12#44897C212yesmaximal, complemented
13#44140C214yesmaximal, complemented
14#42987C212yesmaximal, complemented
15#42805C212yesmaximal, complemented
16#41956C214yesmaximal, complemented
17#39886C212yesmaximal, complemented
18#39406C212yesmaximal, complemented
19#39405C212yesmaximal, complemented
20#39396C212yesmaximal, complemented
21#39387C211yesmaximal, characteristic, complemented
22#39343C211yesmaximal, characteristic, complemented
23#37658C212yesmaximal, complemented
24#36595C212yesmaximal, complemented
25#36473C211yesmaximal, characteristic, complemented
26#36465C211yesmaximal, characteristic, complemented
27#36273C211yesmaximal, characteristic, complemented
28#36121C211yesmaximal, characteristic, complemented
29#36101C211yesmaximal, characteristic, complemented
30#35274C211yesmaximal, characteristic, complemented
31#35198C211yesmaximal, characteristic, complemented
32#35198C212yesmaximal, complemented
33#34936C211yesmaximal, characteristic, complemented
34#34681C211yesmaximal, characteristic, complemented
35C4×#556C211yesmaximal, characteristic, complemented
36#3540—232no—
37C2×H(3,𝔽4)C2214yes—
38C2×#560C2214yescomplemented
39C2×#559C2214yescomplemented
40C2×#556C2211yescharacteristic
41C2×#556C2212yescomplemented
42C2×#555C2212yescomplemented
43C2×#555C2212yescomplemented
44C2×#551C2214yescomplemented
45C2×#550C2211yescharacteristic
46C2×D4×Q8C2211yescharacteristic, complemented
47C2×#548C2212yescomplemented
48C2×#548C2212yescomplemented
49C2×#548C2212yescomplemented
50C2×#546C2212yes—
51C2×#546C2212yescomplemented
52C2×#542C2212yescomplemented
53C2×#542C2212yescomplemented
54C2×#542C2214yescomplemented
55C2×#542C2214yescomplemented
56C2×#538C2214yes—
57C2×#538C2214yescomplemented
58C2×#536C2212yescomplemented
59C2×#535C2212yescomplemented
60C2×#535C2212yescomplemented
61C2×#532C2211yescharacteristic
62C2×#532C2211yescharacteristic
63C22×#127C2211yescharacteristic, complemented
64C2×#525C2212yes—
65C2×#525C2212yescomplemented
66C2×#525C2212yescomplemented
67C2×#525C2212yescomplemented
68C22×C4×D4C2211yescharacteristic, complemented
69#2867C2212yes—
70#2860C2212yescomplemented
71#2860C2212yescomplemented
72#2858C2211yescharacteristic, complemented
73#2858C2212yescomplemented
74#2858C2212yescomplemented
75#2858C2212yescomplemented
76#2858C2212yescomplemented
77#2857C2211yescharacteristic, complemented
78#2856C2211yescharacteristic
79#2847C2212yescomplemented
80#2819C2214yescomplemented
81#2818C2214yescomplemented
82#2733C2214yescomplemented
83#2733C2214yescomplemented
84#2730C2214yescomplemented
85#2730C2214yescomplemented
86#2714C2214yescomplemented
87#2710C2214yescomplemented
88#2705C2214yescomplemented
89#2703C2214yescomplemented
90#2696C2214yescomplemented
91#2692C2214yescomplemented
92#2685C2214yescomplemented
93#2685C2214yescomplemented
94#2679C2214yes—
95#2678C2214yes—
96#2678C2214yescomplemented
97#2676C2214yescomplemented
98#2676C2214yescomplemented
99#2674C2214yescomplemented
100#2674C2214yescomplemented
101#2673C2214yescomplemented
102#2673C2214yescomplemented
103#2673C2214yescomplemented
104#2673C2214yescomplemented
105#2672C2214yescomplemented
106#2672C2214yescomplemented
107#2670C2214yes—
108#2670C2214yes—
109#2670C2214yescomplemented
110#2670C2214yescomplemented
111#2670C2214yescomplemented
112#2669C2214yescomplemented
113#2669C2214yescomplemented
114#2669C2214yescomplemented
115#2662C2214yescomplemented
116#2662C2214yescomplemented
117#2662C2214yescomplemented
118#2657C2214yescomplemented
119#2636C2214yescomplemented
120#2632C2214yescomplemented
121#2631C2214yescomplemented
122#2620C2212yescomplemented
123#2616C2212yescomplemented
124#2610C2214yescomplemented
125#2604C2214yescomplemented
126#2598C2214yescomplemented
127#2555C2214yescomplemented
128#2551C2211yescharacteristic, complemented
129#2551C2212yescomplemented
130#2548C2214yescomplemented
131#2548C2212yescomplemented
132#2548C2211yescharacteristic, complemented
133#2548C2212yescomplemented
134#2548C2212yescomplemented
135#2548C2214yescomplemented
136#2544C2212yescomplemented
137#2544C2214yescomplemented
138#2544C2214yescomplemented
139#2542C2212yescomplemented
140#2542C2211yescharacteristic, complemented
141#2542C2211yescharacteristic, complemented
142#2541C2211yescharacteristic
143#2541C2211yescharacteristic
144#2541C2211yescharacteristic
145#2541C2212yes—
146#2541C2212yescomplemented
147#2541C2212yescomplemented
148#2541C2212yescomplemented
149#2541C2211yescharacteristic, complemented
150#2541C2212yescomplemented
151#2541C2211yescharacteristic, complemented
152#2540C2212yescomplemented
153#2540C2212yescomplemented
154#2540C2212yescomplemented
155#2540C2214yescomplemented
156#2540C2212yescomplemented
157#2540C2214yescomplemented
158#2539C2214yescomplemented
159#2538C2211yescharacteristic, complemented
160#2538C2212yescomplemented
161#2537C2212yescomplemented
162#2521C2214yescomplemented
163#2512C2212yescomplemented
164#2501C2212yescomplemented
165#2496C2212yescomplemented
166#2492C2212yescomplemented
167#2491C2212yes—
168#2491C2212yes—
169#2491C2214yescomplemented
170#2491C2212yescomplemented
171#2491C2212yescomplemented
172#2491C2212yescomplemented
173#2491C2212yescomplemented
174#2479C2214yescomplemented
175#2472C2214yescomplemented
176#2472C2212yescomplemented
177#2471C2214yescomplemented
178#2464C2212yes—
179#2463C2214yescomplemented
180#2463C2214yescomplemented
181#2461C2214yescomplemented
182#2461C2214yescomplemented
183#2461C2214yescomplemented
184#2461C2212yescomplemented
185#2461C2214yescomplemented
186#2456C2214yescomplemented
187#2456C2214yescomplemented
188#2456C2214yescomplemented
189#2452C2212yescomplemented
190#2452C2211yescharacteristic, complemented
191#2452C2212yescomplemented
192#2445C2212yescomplemented
193#2445C2212yescomplemented
194#2445C2212yescomplemented
195#2445C2214yescomplemented
196#2445C2214yescomplemented
197#2445C2212yescomplemented
198#2445C2212yescomplemented
199#2445C2211yescharacteristic, complemented
200#2445C2212yescomplemented
201#2445C2212yescomplemented
202#2440C2211yescharacteristic, complemented
203#2436C2212yescomplemented
204#2435C2212yescomplemented
205#2433C2212yes—
206#2433C2212yes—
207#2433C2212yescomplemented
208#2433C2214yescomplemented
209#2433C2212yescomplemented
210#2433C2211yescharacteristic, complemented
211#2433C2212yescomplemented
212#2431C2212yes—
213#2431C2212yescomplemented
214#2428C2212yes—
215#2428C2212yes—
216#2428C2211yescharacteristic
217#2428C2212yescomplemented
218#2428C2212yescomplemented
219#2428C2212yescomplemented
220#2427C2212yescomplemented
221#2426C2212yescomplemented
222#2426C2214yescomplemented
223#2426C2212yescomplemented
224#2426C2212yescomplemented
225#2424C2212yes—
226#2424C2214yescomplemented
227#2424C2214yescomplemented
228#2422C2211yescharacteristic
229#2422C2212yescomplemented
230#2418C2214yescomplemented
231#2418C2214yescomplemented
232#2416C2211yescharacteristic
233#2415C2212yescomplemented
234#2415C2212yescomplemented
235#2414C2212yescomplemented
236#2414C2212yescomplemented
237#2414C2212yescomplemented
238#2414C2214yescomplemented
239#2414C2212yescomplemented
240#2410C2214yescomplemented
241#2409C2212yescomplemented
242#2408C2212yes—
243#2408C2212yes—
244#2408C2211yescharacteristic
245#2408C2212yescomplemented
246#2407C2212yescomplemented
247#2407C2212yescomplemented
248#2397C2214yescomplemented
249#2392C2212yescomplemented
250#2388C2212yes—
251#2373C2212yescomplemented
252#2373C2212yescomplemented
253#2367C2212yes—
254#2366C2212yescomplemented
255#2366C2214yescomplemented
256#2366C2211yescharacteristic, complemented
257#2366C2212yescomplemented
258#2365C2211yescharacteristic, complemented
259#2365C2211yescharacteristic, complemented
260#2363C2212yescomplemented
261#2362C2211yescharacteristic, complemented
262#2362C2212yescomplemented
263#2362C2211yescharacteristic, complemented
264#2361C2212yescomplemented
265#2356C2212yescomplemented
266#2355C2211yescharacteristic, complemented
267#2354C2211yescharacteristic
268#2354C2211yescharacteristic, complemented
269#2354C2212yescomplemented
270#2354C2211yescharacteristic, complemented
271#2347C2211yescharacteristic, complemented
272#2347C2211yescharacteristic, complemented
273D4×C22⋊C4C2212yescomplemented
274D4×C22⋊C4C2212yescomplemented
275D4×C22⋊C4C2212yescomplemented
276#2324C2212yescomplemented
277#2324C2214yescomplemented
278C4×C4⋊Q8C2211yescharacteristic, complemented
279C4×C4⋊Q8C2212yescomplemented
280C4×#127C2211yescharacteristic, complemented
281C4×#127C2212yescomplemented
282C4×#127C2211yescharacteristic, complemented
283C4×#127C2212yescomplemented
284C4×#127C2212yescomplemented
285C4×#126C2212yescomplemented
286C4×#126C2212yescomplemented
287C4×#124C2212yes—
288C4×C22⋊Q8C2211yescharacteristic, complemented
289C4×C22⋊Q8C2211yescharacteristic, complemented
290C4×#121C2211yescharacteristic
291C4×#121C2211yescharacteristic, complemented
292C4×#120C2212yescomplemented
293#2293C2212yescomplemented
294#2293C2211yescharacteristic, complemented
295C42×Q8C2211yescharacteristic, complemented
296C42×Q8C2212yescomplemented
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic, complemented
299C4×#117C2211yescharacteristic, complemented
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C23×Q8C2312yes—
304C23×D4C2312yes—
305C23×D4C2312yes—
306C23×D4C2311yescharacteristic
307C23×D4C2312yes—
308C24×C4C2312yes—
309H(3,𝔽4)—232no—
310#560—232no—
311#559—232no—
312#556—216no—
313#556D4116yescomplemented
314#555—216no—
315#555—216no—
316#551—232no—
317#550—44no—
318D4×Q8—44no—
319#548—216no—
320#548—216no—
321#548—48no—
322#546—216no—
323#546—216no—
324#542—216no—
325#542—232no—
326#542—216no—
327#542—232no—
328#538—232no—
329#538—232no—
330#536—216no—
331#535—216no—
332#535—48no—
333#532—44no—
334#532—44no—
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2314yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2311yescharacteristic
342C2×#127—44no—
343C2×#127C2311yescharacteristic
344C2×#127C2314yes—
345C2×#127C2311yescharacteristic
346C2×#127C2312yes—
347C2×#127C2312yes—
348C2×#127C2311yescharacteristic
349C2×#127C2312yes—
350C2×#127C2312yes—
351C2×#127C2312yes—
352C2×#127C2311yescharacteristic
353C2×#127C2314yes—
354C2×#127C2312yes—
355C2×#127C2312yes—
356C2×#127C2314yes—
357C2×#127C2312yes—
358C2×#127C2312yes—
359C2×#127C2314yes—
360C2×#126C2314yes—
361C2×#126C2314yes—
362C2×#126C2314yes—
363C2×#126C2314yes—
364C2×#126C2312yes—
365C2×#126C2312yes—
366C2×#124C2314yes—
367C2×#124C2314yes—
368C2×#124C2314yes—
369C2×#124C2312yes—
370C2×#124C2314yes—
371C2×#124C2314yes—
372C2×#124C2314yes—
373C2×#124C2314yes—
374C2×#124C2314yes—
375C2×#124C2312yes—
376C2×#124C2314yes—
377C2×#124C2314yes—
378C2×#124C2314yes—
379C2×#124C2314yes—
380C2×#124C2314yes—
381C2×#124C2312yes—
382C2×#124C2312yes—
383C2×#124C2312yes—
384C2×#124C2314yes—
385C2×#124C2314yes—
386C2×#124C2312yes—
387#525—216no—
388#525—216no—
389#525—216no—
390#525—48no—
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×#123C2314yes—
394C2×#123C2314yes—
395C2×#123C2314yes—
396C2×#123C2314yes—
397C2×#123C2314yes—
398C2×#123C2314yes—
399C2×#123C2314yes—
400C2×#123C2314yes—
401C2×#123C2314yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2314yes—
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2311yescharacteristic
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2314yes—
428C2×#121C2314yes—
429C2×#121C2314yes—
430C2×#121C2314yes—
431C2×#121C2312yes—
432C2×#121C2314yes—
433C2×#121C2314yes—
434C2×#121C2312yes—
435C2×#121C2314yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2311yescharacteristic
442C2×#121C2312yes—
443C2×#121C2311yescharacteristic
444C2×#121C2312yes—
445C2×#121C2314yes—
446C2×#121C2314yes—
447C2×#121C2311yescharacteristic
448C2×#121C2311yescharacteristic
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2314yes—
452C2×#120C2314yes—
453C2×#120C2312yes—
454C2×#120C2314yes—
455C2×#120C2312yes—
456C2×#120C2314yes—
457C2×#120C2314yes—
458C2×#120C2314yes—
459C2×#120C2314yes—
460C2×#120C2314yes—
461C2×#120C2312yes—
462C2×#120C2314yes—
463C2×#120C2314yes—
464C2×#120C2314yes—
465C2×#120C2314yes—
466C2×C4×Q8C2314yes—
467C2×C4×Q8C2311yescharacteristic
468C2×C4×Q8C2312yes—
469C2×C4×Q8C2311yescharacteristic
470C2×C4×Q8C2312yes—
471C2×C4×Q8C2312yes—
472C2×C4×Q8C2311yescharacteristic
473C2×C4×Q8C2312yes—
474C2×C4×D4—44no—
475C2×C4×D4C2314yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2314yes—
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2314yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2314yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2314yes—
485C2×C4×D4C2314yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2312yes—
493C2×C4×D4C2312yes—
494C2×C4×D4C2314yes—
495C2×C4×D4C2314yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2314yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2312yes—
501C2×C4×D4C2311yescharacteristic
502C2×C4×D4C2312yes—
503C2×C4×D4C2312yes—
504C2×C4×D4C2312yes—
505C2×C4×D4C2311yescharacteristic
506C2×C4×D4C2312yes—
507C2×C4×D4C2311yescharacteristic
508C2×#117C2314yes—
509C2×#117C2312yes—
510C2×#117C2311yescharacteristic
511C2×#117C2311yescharacteristic
512C2×#117C2312yes—
513C2×#117C2312yes—
514C2×#117C2314yes—
515C2×#117C2311yescharacteristic
516C2×#117C2311yescharacteristic
517C22×C4⋊C4C2311yescharacteristic
518C22×C22⋊C4C2314yes—
519C22×C22⋊C4C2314yes—
520C22×C22⋊C4C2312yes—
521C22×C42C2311yescharacteristic
522C22×C42C2311yescharacteristic
523#400C2314yes—
524#399C2314yes—
525#399C2314yes—
526#399C2314yes—
527#399C2314yes—
528#399C2314yes—
529#399C2314yes—
530#398C2312yes—
531#397C2314yes—
532#397C2314yes—
533#397C2312yes—
534#397C2314yes—
535#396C2314yes—
536#396C2314yes—
537#396C2312yes—
538#396C2312yes—
539#396C2314yes—
540#396C2314yes—
541#396C2314yes—
542#396C2314yes—
543#395C2314yes—
544#395C2314yes—
545#395C2312yes—
546#395C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2312yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2312yes—
563#394C2312yes—
564#394C2312yes—
565#394C2312yes—
566#394C2312yes—
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#394C2314yes—
580#394C2314yes—
581#393C2314yes—
582#393C2314yes—
583#393C2314yes—
584#393C2314yes—
585#393C2314yes—
586#393C2312yes—
587#393C2314yes—
588#392C2312yes—
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#392C2312yes—
602#392C2312yes—
603#392C2312yes—
604#392C2314yes—
605#392C2314yes—
606#392C2314yes—
607#392C2314yes—
608#392C2314yes—
609#392C2314yes—
610#392C2314yes—
611#392C2314yes—
612#392C2314yes—
613#392C2314yes—
614#392C2314yes—
615#392C2314yes—
616#392C2314yes—
617#391C2312yes—
618#391C2314yes—
619#391C2312yes—
620#391C2311yescharacteristic
621#391C2311yescharacteristic
622#391C2312yes—
623#391C2312yes—
624#390C2311yescharacteristic
625#390C2312yes—
626#390C2312yes—
627#390C2311yescharacteristic
628#390C2312yes—
629#390C2312yes—
630#390C2312yes—
631#390C2312yes—
632#390C2314yes—
633#390C2312yes—
634#390C2312yes—
635#390C2314yes—
636#390C2314yes—
637#390C2312yes—
638#390C2314yes—
639#390C2314yes—
640#390C2312yes—
641#390C2314yes—
642#390C2314yes—
643#390C2314yes—
644#390C2314yes—
645#390C2312yes—
646#390C2314yes—
647#390C2312yes—
648#390C2312yes—
649#390C2312yes—
650#390C2312yes—
651#390C2312yes—
652#390C2312yes—
653#390C2311yescharacteristic
654#390C2311yescharacteristic
655#390C2312yes—
656#390C2312yes—
657#390C2312yes—
658#390C2314yes—
659#390C2312yes—
660#390C2314yes—
661#390C2314yes—
662#390C2312yes—
663#390C2312yes—
664#390C2312yes—
665#390C2312yes—
666#390C2314yes—
667#390C2314yes—
668#390C2311yescharacteristic
669#390C2312yes—
670#390C2312yes—
671#390C2312yes—
672#390C2314yes—
673#390C2314yes—
674#390C2314yes—
675#390C2314yes—
676#390C2311yescharacteristic
677#389C2311yescharacteristic
678#389C2312yes—
679#389C2311yescharacteristic
680#389C2311yescharacteristic
681#389C2314yes—
682#389C2312yes—
683#389C2312yes—
684#389C2314yes—
685#389C2312yes—
686#389C2311yescharacteristic
687#389C2311yescharacteristic
688#389C2311yescharacteristic
689#389C2312yes—
690#389C2312yes—
691#389C2312yes—
692#389C2311yescharacteristic
693#389C2311yescharacteristic
694#388C2312yes—
695#388C2312yes—
696#388C2312yes—
697#388C2312yes—
698#388C2312yes—
699#388C2312yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2312yes—
706#388C2312yes—
707#388C2312yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2312yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2312yes—
720#388C2312yes—
721#388C2314yes—
722#388C2314yes—
723#388C2312yes—
724#388C2314yes—
725#388C2312yes—
726#387C2312yes—
727#387C2312yes—
728#387C2312yes—
729#387C2312yes—
730#387C2312yes—
731#387C2312yes—
732#387C2314yes—
733#387C2314yes—
734#387C2312yes—
735#387C2312yes—
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#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2312yes—
756#386C2314yes—
757#386C2312yes—
758#386C2312yes—
759#386C2312yes—
760#385C2312yes—
761#385C2314yes—
762#385C2314yes—
763#385C2312yes—
764#385C2314yes—
765#385C2312yes—
766#385C2312yes—
767#385C2314yes—
768#385C2312yes—
769#384C2312yes—
770#384C2311yescharacteristic
771#384C2311yescharacteristic
772#384C2312yes—
773#384C2311yescharacteristic
774#383C2312yes—
775#383C2312yes—
776#382C2312yes—
777#380C2312yes—
778#380C2314yes—
779#380C2311yescharacteristic
780#380C2312yes—
781#380C2311yescharacteristic
782#380C2312yes—
783#380C2312yes—
784#380C2311yescharacteristic
785#380C2312yes—
786#380C2314yes—
787#380C2311yescharacteristic
788#379C2314yes—
789#379C2314yes—
790#379C2314yes—
791#379C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2314yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2311yescharacteristic
821C4×C22⋊C4C2311yescharacteristic
822C4×C22⋊C4C2311yescharacteristic
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2311yescharacteristic
828C4×C22⋊C4C2311yescharacteristic
829C4×C22⋊C4C2311yescharacteristic
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2311yescharacteristic
836C4×C22⋊C4C2312yes—
837#376C2312yes—
838#376C2312yes—
839C43C2312yes—
840C43C2312yes—
841C43C2311yescharacteristic
842C43C2312yes—
843C25C2414yes—
844C25C2412yes—
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—
854C22×Q8—28no—
855C22×Q8—44no—
856C22×Q8—44no—
857C22×Q8C2412yes—
858C22×Q8C2411yescharacteristic
859C22×Q8C2414yes—
860C22×Q8C2414yes—
861C22×Q8C2412yes—
862C22×Q8C2412yes—
863C22×D4—28no—
864C22×D4—42no—
865C22×D4—42no—
866C22×D4—42no—
867C22×D4—44no—
868C22×D4—44no—
869C22×D4—44no—
870C22×D4—44no—
871C22×D4—44no—
872C22×D4—44no—
873C22×D4—44no—
874C22×D4—82no—
875C22×D4C2411yescharacteristic
876C22×D4C2411yescharacteristic
877C22×D4C2411yescharacteristic
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2414yes—
885C22×D4C2412yes—
886C22×D4C2414yes—
887C22×D4C2414yes—
888C22×D4C2414yes—
889C22×D4C2414yes—
890C22×D4C2412yes—
891C22×D4C2414yes—
892C22×D4C2414yes—
893C22×D4C2414yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2412yes—
904C22×D4C2414yes—
905C22×D4C2412yes—
906C22×D4C2414yes—
907C22×D4C2414yes—
908C22×D4C2414yes—
909C22×D4C2414yes—
910C22×D4C2411yescharacteristic
911C23×C4—28no—
912C23×C4—44no—
913C23×C4—44no—
914C23×C4C2411yescharacteristic
915C23×C4C2412yes—
916C23×C4C2412yes—
917C23×C4C2412yes—
918C23×C4C2411yescharacteristic
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2411yescharacteristic
922C23×C4C2411yescharacteristic
923C23×C4C2412yes—
924C23×C4C2414yes—
925C23×C4C2414yes—
926C23×C4C2414yes—
927C23×C4C2414yes—
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2414yes—
931C4⋊Q8—216no—
932C4⋊Q8—28no—
933C4⋊Q8—24no—
934C4⋊Q8—44no—
935C4⋊Q8—42no—
936C4⋊Q8—44no—
937C4⋊Q8C2×D418yescomplemented
938#127—216no—
939#127—24no—
940#127—24no—
941#127—44no—
942#127—44no—
943#127—44no—
944#127—42no—
945#127—44no—
946#127—44no—
947#127—44no—
948#127—48no—
949#127—44no—
950#127—44no—
951#127—42no—
952#127—48no—
953#127—44no—
954#127—84no—
955#126—216no—
956#126—216no—
957#126—216no—
958#126—216no—
959#126C2×D4116yescomplemented
960#126C2×D4116yescomplemented
961#124—216no—
962#124—28no—
963#124—216no—
964#124—216no—
965#124—216no—
966#124—216no—
967#124—216no—
968#124—216no—
969#124—216no—
970#124—216no—
971#124—28no—
972#124—216no—
973#124—216no—
974#124—44no—
975#124—48no—
976#124—48no—
977#124—44no—
978#124—44no—
979#124—84no—
980#124—84no—
981#124C2×D4116yes—
982#123—216no—
983#123—28no—
984#123—216no—
985#123—216no—
986#123—216no—
987#123—216no—
988#123—216no—
989#123—216no—
990#123—28no—
991#123—216no—
992#123—48no—
993C22⋊Q8—28no—
994C22⋊Q8—216no—
995C22⋊Q8—28no—
996C22⋊Q8—28no—
997C22⋊Q8—28no—
998C22⋊Q8—28no—
999C22⋊Q8—216no—
1000C22⋊Q8—216no—
1001C22⋊Q8—216no—
1002C22⋊Q8—28no—
1003C22⋊Q8—28no—
1004C22⋊Q8—48no—
1005C22⋊Q8—48no—
1006C22⋊Q8—44no—
1007C22⋊Q8—44no—
1008C22⋊Q8C2×D418yescomplemented
1009C22⋊Q8C2×D418yescomplemented
1010#121—28no—
1011#121—28no—
1012#121—28no—
1013#121—28no—
1014#121—28no—
1015#121—28no—
1016#121—28no—
1017#121—216no—
1018#121—216no—
1019#121—216no—
1020#121—28no—
1021#121—28no—
1022#121—28no—
1023#121—216no—
1024#121—216no—
1025#121—216no—
1026#121—44no—
1027#121—48no—
1028#121—48no—
1029#121—48no—
1030#121—42no—
1031#121—44no—
1032#121—42no—
1033#121—44no—
1034#121—42no—
1035#121—42no—
1036#121—44no—
1037#121—44no—
1038#121—44no—
1039#121—44no—
1040#121—44no—
1041#121—84no—
1042#121—82no—
1043#120—28no—
1044#120—216no—
1045#120—28no—
1046#120—216no—
1047#120—216no—
1048#120—216no—
1049#120—216no—
1050#120—216no—
1051#120—44no—
1052#120—48no—
1053#120—48no—
1054#120—48no—
1055#120—84no—
1056#120—84no—
1057C4×Q8—28no—
1058C4×Q8—24no—
1059C4×Q8—216no—
1060C4×Q8—24no—
1061C4×Q8—44no—
1062C4×Q8—44no—
1063C4×Q8C2×D418yescomplemented
1064C4×Q8C2×D4116yescomplemented
1065C4×D4—28no—
1066C4×D4—28no—
1067C4×D4—216no—
1068C4×D4—216no—
1069C4×D4—28no—
1070C4×D4—216no—
1071C4×D4—216no—
1072C4×D4—28no—
1073C4×D4—216no—
1074C4×D4—216no—
1075C4×D4—28no—
1076C4×D4—24no—
1077C4×D4—24no—
1078C4×D4—24no—
1079C4×D4—44no—
1080C4×D4—48no—
1081C4×D4—42no—
1082C4×D4—42no—
1083C4×D4—44no—
1084C4×D4—44no—
1085C4×D4—48no—
1086C4×D4—44no—
1087C4×D4—44no—
1088C4×D4—48no—
1089C4×D4—44no—
1090C4×D4—44no—
1091C4×D4—44no—
1092C4×D4—42no—
1093C4×D4—44no—
1094C4×D4—44no—
1095C4×D4—42no—
1096C4×D4—82no—
1097C4×D4C2×D418yes—
1098#117—28no—
1099#117—28no—
1100#117—216no—
1101#117—24no—
1102#117—24no—
1103#117—28no—
1104#117—216no—
1105#117C2×D418yescomplemented
1106#117C2×D418yescomplemented
1107C2×C4⋊C4—42no—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2411yescharacteristic
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2411yescharacteristic
1150C2×C4⋊C4C2411yescharacteristic
1151C2×C4⋊C4C2411yescharacteristic
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2411yescharacteristic
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2411yescharacteristic
1158C2×C22⋊C4—216no—
1159C2×C22⋊C4—216no—
1160C2×C22⋊C4—44no—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2411yescharacteristic
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2411yescharacteristic
1212C2×C22⋊C4C2411yescharacteristic
1213C2×C22⋊C4C2411yescharacteristic
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2411yescharacteristic
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2411yescharacteristic
1240C2×C42—24no—
1241C2×C42—24no—
1242C2×C42C2414yes—
1243C2×C42C2414yes—
1244C2×C42C2412yes—
1245C2×C42C2412yes—
1246C2×C42C2412yes—
1247C2×C42C2411yescharacteristic
1248C2×C42C2411yescharacteristic
1249C2×C42C2411yescharacteristic
1250C2×C42C2412yes—
1251C2×C42C2412yes—
1252C2×C42C2411yescharacteristic
1253C2×C42C2411yescharacteristic
1254C2×C42C2411yescharacteristic
1255C2×C42C2414yes—
1256C2×C42C2411yescharacteristic
1257C2×C42C2412yes—
1258C2×C42C2412yes—
1259C2×C42C2412yes—
1260C2×C42C2411yescharacteristic
1261C2×C42C2411yescharacteristic
1262C2×C42C2412yes—
1263C2×C42C2411yescharacteristic
1264C2×C42C2411yescharacteristic
1265C2×C42C2412yes—
1266C2×C42C2412yes—
1267C2×C42C2412yes—
1268C2×C42C2412yes—
1269C2×C42C2412yes—
1270C2×C42C2412yes—
1271C2×C42C2411yescharacteristic
1272C2×C42C2412yes—
1273C2×C42C2412yes—
1274C2×C42C2411yescharacteristic
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2411yescharacteristic
1284#95C2411yescharacteristic
1285#95C2411yescharacteristic
1286#95C2411yescharacteristic
1287#95C2411yescharacteristic
1288#95C2411yescharacteristic
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2414yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2412yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2414yes—
1315C24—28no—
1316C24—24no—
1317C24—42no—
1318C24—42no—
1319C24—42no—
1320C24—42no—
1321C24—42no—
1322C24—42no—
1323C24—44no—
1324C24—44no—
1325C24—44no—
1326C24—44no—
1327C24—44no—
1328C24—44no—
1329C24C2512yes—
1330C24C2514yes—
1331C24C2512yes—
1332C24C2514yes—
1333C24C2512yes—
1334C24C2511yescharacteristic
1335C24C2511yescharacteristic
1336#41—816no—
1337#41—816no—
1338#41—816no—
1339C2×Q8—24no—
1340C2×Q8—28no—
1341C2×Q8—28no—
1342C2×Q8—24no—
1343C2×Q8—22no—
1344C2×Q8—22no—
1345C2×Q8—24no—
1346C2×Q8—24no—
1347C2×Q8—42no—
1348C2×Q8—42no—
1349C2×Q8—44no—
1350C2×Q8—44no—
1351C2×Q8—42no—
1352C2×Q8—42no—
1353C2×Q8—44no—
1354C2×Q8—44no—
1355C2×Q8—816no—
1356C2×Q8C22×D414yes—
1357C2×Q8C22×D418yes—
1358C2×D4—24no—
1359C2×D4—28no—
1360C2×D4—24no—
1361C2×D4—24no—
1362C2×D4—24no—
1363C2×D4—28no—
1364C2×D4—24no—
1365C2×D4—24no—
1366C2×D4—28no—
1367C2×D4—28no—
1368C2×D4—28no—
1369C2×D4—24no—
1370C2×D4—28no—
1371C2×D4—28no—
1372C2×D4—28no—
1373C2×D4—24no—
1374C2×D4—28no—
1375C2×D4—22no—
1376C2×D4—22no—
1377C2×D4—22no—
1378C2×D4—24no—
1379C2×D4—24no—
1380C2×D4—24no—
1381C2×D4—24no—
1382C2×D4—24no—
1383C2×D4—24no—
1384C2×D4—24no—
1385C2×D4—28no—
1386C2×D4—28no—
1387C2×D4—24no—
1388C2×D4—24no—
1389C2×D4—24no—
1390C2×D4—22no—
1391C2×D4—22no—
1392C2×D4—24no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—22no—
1396C2×D4—24no—
1397C2×D4—22no—
1398C2×D4—24no—
1399C2×D4—28no—
1400C2×D4—42no—
1401C2×D4—41no—
1402C2×D4—41no—
1403C2×D4—42no—
1404C2×D4—42no—
1405C2×D4—42no—
1406C2×D4—42no—
1407C2×D4—44no—
1408C2×D4—42no—
1409C2×D4—42no—
1410C2×D4—42no—
1411C2×D4—42no—
1412C2×D4—44no—
1413C2×D4—42no—
1414C2×D4—42no—
1415C2×D4—42no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—42no—
1419C2×D4—42no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—44no—
1424C2×D4—42no—
1425C2×D4—44no—
1426C2×D4—42no—
1427C2×D4—42no—
1428C2×D4—42no—
1429C2×D4—44no—
1430C2×D4—42no—
1431C2×D4—44no—
1432C2×D4—44no—
1433C2×D4—44no—
1434C2×D4—44no—
1435C2×D4—44no—
1436C2×D4—42no—
1437C2×D4—44no—
1438C2×D4—44no—
1439C2×D4—44no—
1440C2×D4—44no—
1441C2×D4—44no—
1442C2×D4—44no—
1443C2×D4—44no—
1444C2×D4—44no—
1445C2×D4—44no—
1446C2×D4—42no—
1447C2×D4—44no—
1448C2×D4—44no—
1449C2×D4—42no—
1450C2×D4—44no—
1451C2×D4—42no—
1452C2×D4—44no—
1453C2×D4—42no—
1454C2×D4—44no—
1455C2×D4—44no—
1456C2×D4—44no—
1457C2×D4—44no—
1458C2×D4—44no—
1459C2×D4—44no—
1460C2×D4—44no—
1461C2×D4—44no—
1462C2×D4—44no—
1463C2×D4—44no—
1464C2×D4—44no—
1465C2×D4—416no—
1466C2×D4—816no—
1467C2×D4—816no—
1468C2×D4—816no—
1469C2×D4C22×D414yes—
1470C22×C4—22no—
1471C22×C4—22no—
1472C22×C4—22no—
1473C22×C4—22no—
1474C22×C4—24no—
1475C22×C4—24no—
1476C22×C4—24no—
1477C22×C4—24no—
1478C22×C4—22no—
1479C22×C4—22no—
1480C22×C4—22no—
1481C22×C4—24no—
1482C22×C4—24no—
1483C22×C4—24no—
1484C22×C4—24no—
1485C22×C4—24no—
1486C22×C4—24no—
1487C22×C4—22no—
1488C22×C4—22no—
1489C22×C4—22no—
1490C22×C4—22no—
1491C22×C4—22no—
1492C22×C4—28no—
1493C22×C4—28no—
1494C22×C4—28no—
1495C22×C4—28no—
1496C22×C4—24no—
1497C22×C4—28no—
1498C22×C4—24no—
1499C22×C4—22no—
1500C22×C4—41no—
1501C22×C4—42no—
1502C22×C4—42no—
1503C22×C4—42no—
1504C22×C4—42no—
1505C22×C4—42no—
1506C22×C4—44no—
1507C22×C4—44no—
1508C22×C4—44no—
1509C22×C4—44no—
1510C22×C4—44no—
1511C22×C4—44no—
1512C22×C4—44no—
1513C22×C4—44no—
1514C22×C4—41no—
1515C22×C4—44no—
1516C22×C4—44no—
1517C22×C4—41no—
1518C22×C4—42no—
1519C22×C4—816no—
1520C22×C4C22×D414yes—
1521C22×C4C22×D414yes—
1522C22×C4C2511yescharacteristic
1523C22×C4C2512yes—
1524C22×C4C2511yescharacteristic
1525C22×C4C2511yescharacteristic
1526C22×C4C2512yes—
1527C22×C4C2512yes—
1528C22×C4C2512yes—
1529C22×C4C2511yescharacteristic
1530C22×C4C2512yes—
1531C22×C4C2514yes—
1532C22×C4C2511yescharacteristic
1533C22×C4C2512yes—
1534C22×C4C2512yes—
1535C22×C4C2514yes—
1536C22×C4C2512yes—
1537C22×C4C2512yes—
1538C22×C4C2512yes—
1539C22×C4C2511yescharacteristic
1540C22×C4C2511yescharacteristic
1541C22×C4C2512yes—
1542C22×C4C2511yescharacteristic
1543C22×C4C2512yes—
1544C22×C4C2511yescharacteristic
1545C22×C4C2511yescharacteristic
1546C22×C4C2512yes—
1547C22×C4C2511yescharacteristic
1548C22×C4C2511yescharacteristic
1549C22×C4C2511yescharacteristic
1550C4⋊C4—24no—
1551C4⋊C4—24no—
1552C4⋊C4—24no—
1553C4⋊C4—24no—
1554C4⋊C4—24no—
1555C4⋊C4—28no—
1556C4⋊C4—28no—
1557C4⋊C4—24no—
1558C4⋊C4—28no—
1559C4⋊C4—28no—
1560C4⋊C4—28no—
1561C4⋊C4—28no—
1562C4⋊C4—22no—
1563C4⋊C4—22no—
1564C4⋊C4—22no—
1565C4⋊C4—22no—
1566C4⋊C4—22no—
1567C4⋊C4—24no—
1568C4⋊C4—28no—
1569C4⋊C4—24no—
1570C4⋊C4—24no—
1571C4⋊C4—24no—
1572C4⋊C4—22no—
1573C4⋊C4—22no—
1574C4⋊C4—22no—
1575C4⋊C4—24no—
1576C4⋊C4—24no—
1577C4⋊C4—22no—
1578C4⋊C4—42no—
1579C4⋊C4—41no—
1580C4⋊C4—42no—
1581C4⋊C4—42no—
1582C4⋊C4—44no—
1583C4⋊C4—42no—
1584C4⋊C4—42no—
1585C4⋊C4—42no—
1586C4⋊C4—42no—
1587C4⋊C4—42no—
1588C4⋊C4—42no—
1589C4⋊C4—44no—
1590C4⋊C4—44no—
1591C4⋊C4C22×D414yes—
1592C4⋊C4C22×D414yes—
1593C4⋊C4C22×D418yes—
1594C4⋊C4C22×D414yes—
1595C4⋊C4C22×D418yes—
1596C4⋊C4C22×D414yes—
1597C4⋊C4C22×D418yes—
1598C4⋊C4C22×D418yes—
1599C4⋊C4H(5,𝔽2)14yes—
1600C22⋊C4—24no—
1601C22⋊C4—28no—
1602C22⋊C4—24no—
1603C22⋊C4—28no—
1604C22⋊C4—28no—
1605C22⋊C4—28no—
1606C22⋊C4—28no—
1607C22⋊C4—28no—
1608C22⋊C4—28no—
1609C22⋊C4—28no—
1610C22⋊C4—24no—
1611C22⋊C4—24no—
1612C22⋊C4—28no—
1613C22⋊C4—24no—
1614C22⋊C4—24no—
1615C22⋊C4—24no—
1616C22⋊C4—28no—
1617C22⋊C4—28no—
1618C22⋊C4—28no—
1619C22⋊C4—28no—
1620C22⋊C4—28no—
1621C22⋊C4—28no—
1622C22⋊C4—28no—
1623C22⋊C4—24no—
1624C22⋊C4—28no—
1625C22⋊C4—28no—
1626C22⋊C4—24no—
1627C22⋊C4—24no—
1628C22⋊C4—24no—
1629C22⋊C4—24no—
1630C22⋊C4—24no—
1631C22⋊C4—28no—
1632C22⋊C4—28no—
1633C22⋊C4—28no—
1634C22⋊C4—22no—
1635C22⋊C4—24no—
1636C22⋊C4—42no—
1637C22⋊C4—42no—
1638C22⋊C4—44no—
1639C22⋊C4—41no—
1640C22⋊C4—41no—
1641C22⋊C4—44no—
1642C22⋊C4—41no—
1643C22⋊C4—42no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—44no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C22⋊C4—42no—
1650C22⋊C4—42no—
1651C22⋊C4—44no—
1652C22⋊C4—42no—
1653C22⋊C4—44no—
1654C22⋊C4—44no—
1655C22⋊C4—42no—
1656C22⋊C4—44no—
1657C22⋊C4—44no—
1658C22⋊C4—42no—
1659C22⋊C4—42no—
1660C22⋊C4—44no—
1661C22⋊C4—44no—
1662C22⋊C4—44no—
1663C22⋊C4—44no—
1664C22⋊C4—44no—
1665C22⋊C4—44no—
1666C22⋊C4—42no—
1667C22⋊C4—42no—
1668C22⋊C4—44no—
1669C22⋊C4—44no—
1670C22⋊C4—44no—
1671C22⋊C4—42no—
1672C22⋊C4—42no—
1673C22⋊C4C22×D414yes—
1674C22⋊C4C22×D418yes—
1675C22⋊C4C22×D418yes—
1676C22⋊C4C22×D418yes—
1677C22⋊C4C22×D418yes—
1678C22⋊C4C22×D414yes—
1679C42—28no—
1680C42—28no—
1681C42—24no—
1682C42—28no—
1683C42—22no—
1684C42—22no—
1685C42—22no—
1686C42—22no—
1687C42—22no—
1688C42—22no—
1689C42—24no—
1690C42—24no—
1691C42—24no—
1692C42—22no—
1693C42—24no—
1694C42—22no—
1695C42—22no—
1696C42—24no—
1697C42—24no—
1698C42—24no—
1699C42—24no—
1700C42—41no—
1701C42—41no—
1702C42—42no—
1703C42—42no—
1704C42—42no—
1705C42—42no—
1706C42—42no—
1707C42C22×D418yes—
1708C42C22×D414yes—
1709C42C22×D418yes—
1710C42C22×D418yes—
1711C42H(5,𝔽2)14yes—
1712C23—21no—
1713C23—21no—
1714C23—21no—
1715C23—21no—
1716C23—21no—
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—21no—
1721C23—21no—
1722C23—21no—
1723C23—21no—
1724C23—24no—
1725C23—22no—
1726C23—22no—
1727C23—24no—
1728C23—22no—
1729C23—22no—
1730C23—22no—
1731C23—24no—
1732C23—22no—
1733C23—24no—
1734C23—22no—
1735C23—22no—
1736C23—24no—
1737C23—22no—
1738C23—24no—
1739C23—22no—
1740C23—24no—
1741C23—24no—
1742C23—22no—
1743C23—22no—
1744C23—24no—
1745C23—22no—
1746C23—24no—
1747C23—24no—
1748C23—22no—
1749C23—22no—
1750C23—22no—
1751C23—22no—
1752C23—22no—
1753C23—24no—
1754C23—22no—
1755C23—22no—
1756C23—24no—
1757C23—22no—
1758C23—24no—
1759C23—48no—
1760C23—84no—
1761C23—84no—
1762C23—84no—
1763C23—88no—
1764C23—88no—
1765C23—88no—
1766C23—84no—
1767C23—84no—
1768C23—84no—
1769C23—88no—
1770C23—88no—
1771C23—164no—
1772C23—164no—
1773C23C23×D412yes—
1774C23C23×D412yes—
1775C23C2611yescharacteristic
1776Q8—28no—
1777Q8—48no—
1778Q8—48no—
1779Q8—88no—
1780Q8—88no—
1781Q8—84no—
1782D4—44no—
1783D4—48no—
1784D4—48no—
1785D4—48no—
1786D4—48no—
1787D4—44no—
1788D4—44no—
1789D4—44no—
1790D4—48no—
1791D4—48no—
1792D4—84no—
1793D4—88no—
1794D4—88no—
1795D4—88no—
1796D4—88no—
1797D4—88no—
1798D4—88no—
1799D4—88no—
1800D4—84no—
1801D4—88no—
1802D4—84no—
1803D4—88no—
1804D4—84no—
1805D4—88no—
1806D4—88no—
1807D4—84no—
1808D4—84no—
1809D4—84no—
1810D4—84no—
1811D4—88no—
1812D4—84no—
1813D4—88no—
1814D4—88no—
1815D4—164no—
1816D4—164no—
1817D4—164no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—21no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—21no—
1832C2×C4—22no—
1833C2×C4—21no—
1834C2×C4—22no—
1835C2×C4—21no—
1836C2×C4—22no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—28no—
1841C2×C4—28no—
1842C2×C4—22no—
1843C2×C4—24no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—24no—
1848C2×C4—22no—
1849C2×C4—21no—
1850C2×C4—21no—
1851C2×C4—21no—
1852C2×C4—21no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—21no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—24no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—24no—
1865C2×C4—21no—
1866C2×C4—21no—
1867C2×C4—22no—
1868C2×C4—22no—
1869C2×C4—21no—
1870C2×C4—21no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—21no—
1874C2×C4—22no—
1875C2×C4—21no—
1876C2×C4—24no—
1877C2×C4—21no—
1878C2×C4—22no—
1879C2×C4—21no—
1880C2×C4—21no—
1881C2×C4—21no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—24no—
1887C2×C4—44no—
1888C2×C4—48no—
1889C2×C4—48no—
1890C2×C4—48no—
1891C2×C4—44no—
1892C2×C4—44no—
1893C2×C4—88no—
1894C2×C4—88no—
1895C2×C4—82no—
1896C2×C4—84no—
1897C2×C4—84no—
1898C2×C4—88no—
1899C2×C4—88no—
1900C2×C4—88no—
1901C2×C4—84no—
1902C2×C4C23×D414yes—
1903C2×C4C23×D414yes—
1904C2×C4C23×D412yes—
1905C2×C4C23×D414yes—
1906C2×C4C23×D412yes—
1907C2×C4C23×D412yes—
1908C2×C4C23×D412yes—
1909C2×C4C23×D414yes—
1910C2×C4C23×D412yes—
1911C2×C4C2×H(5,𝔽2)14yes—
1912C2×C4C2×H(5,𝔽2)12yes—
1913C2×C4C2×H(5,𝔽2)12yes—
1914C2×C4C2×H(5,𝔽2)12yes—
1915C2×C4C2×H(5,𝔽2)12yes—
1916C2×C4#58512yes—
1917C2×C4#58512yes—
1918C2×C4#58512yes—
1919C22—22no—
1920C22—22no—
1921C22—22no—
1922C22—22no—
1923C22—22no—
1924C22—22no—
1925C22—41no—
1926C22—41no—
1927C22—41no—
1928C22—41no—
1929C22—41no—
1930C22—41no—
1931C22—41no—
1932C22—41no—
1933C22—42no—
1934C22—42no—
1935C22—44no—
1936C22—44no—
1937C22—42no—
1938C22—44no—
1939C22—42no—
1940C22—42no—
1941C22—42no—
1942C22—44no—
1943C22—42no—
1944C22—42no—
1945C22—42no—
1946C22—44no—
1947C22—44no—
1948C22—42no—
1949C22—42no—
1950C22—42no—
1951C22—44no—
1952C22—44no—
1953C22—44no—
1954C22—42no—
1955C22—42no—
1956C22—42no—
1957C22—44no—
1958C22—42no—
1959C22—44no—
1960C22—42no—
1961C22—42no—
1962C22—44no—
1963C22—44no—
1964C22—44no—
1965C22—42no—
1966C22—42no—
1967C22—42no—
1968C22—816no—
1969C22—1616no—
1970C22C24×D411yescharacteristic
1971C22C22×H(5,𝔽2)11yescharacteristic
1972C22C22×H(5,𝔽2)11yescharacteristic
1973C22C2×#58511yescharacteristic
1974C22C2×#58511yescharacteristic
1975C22C2×#58511yescharacteristic
1976C22H(7,𝔽2)11yescharacteristic
1977C4—22no—
1978C4—24no—
1979C4—24no—
1980C4—22no—
1981C4—22no—
1982C4—24no—
1983C4—24no—
1984C4—22no—
1985C4—24no—
1986C4—22no—
1987C4—22no—
1988C4—41no—
1989C4—41no—
1990C4—44no—
1991C4—42no—
1992C4—41no—
1993C4—42no—
1994C4—42no—
1995C4—42no—
1996C4—44no—
1997C4—42no—
1998C4—41no—
1999C4—42no—
2000C4—42no—
2001C4—41no—
2002C4—42no—
2003C4#349814yes—
2004C4#354014yescomplemented
2005C2—42no—
2006C2—42no—
2007C2—82no—
2008C2—82no—
2009C2—82no—
2010C2—84no—
2011C2—84no—
2012C2C2×#354011yescharacteristic
2013C2C2×#349811yescharacteristic
2014C2#6281211yescharacteristic
2015C2#6292311yescharacteristic
2016C2#6292411yescharacteristic
2017C2#6300311yescharacteristic
2018C2#6302111yescharacteristic
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×#3540C2semidirect
2. #59822C2semidirect
3. #59476C2semidirect
4. #59124C2semidirect
5. #59080C2semidirect
6. #59001C2semidirect
7. #51419C2semidirect
8. #50655C2semidirect
9. #45996C2semidirect
10. #45992C2semidirect
11. #45093C2semidirect
12. #44897C2semidirect
13. #44140C2semidirect
14. #42987C2semidirect
15. #42805C2semidirect
16. #41956C2semidirect
17. #39886C2semidirect
18. #39406C2semidirect
19. #39405C2semidirect
20. #39396C2semidirect
21. #39387C2semidirect
22. #39343C2semidirect
23. #37658C2semidirect
24. #36595C2semidirect
25. #36473C2semidirect
26. #36465C2semidirect
27. #36273C2semidirect
28. #36121C2semidirect
29. #36101C2semidirect
30. #35274C2semidirect
31. #35198C2semidirect
32. #35198C2semidirect
33. #34936C2semidirect
34. #34681C2semidirect
35. C4×#556C2semidirect
38. C2×#560C22semidirect
39. C2×#559C22semidirect
41. C2×#556C22semidirect
42. C2×#555C22semidirect
43. C2×#555C22semidirect
44. C2×#551C22semidirect
46. C2×D4×Q8C22semidirect
47. C2×#548C22semidirect
48. C2×#548C22semidirect
49. C2×#548C22semidirect
51. C2×#546C22semidirect
52. C2×#542C22semidirect
53. C2×#542C22semidirect
54. C2×#542C22semidirect
55. C2×#542C22semidirect
57. C2×#538C22semidirect
58. C2×#536C22semidirect
59. C2×#535C22semidirect
60. C2×#535C22semidirect
63. C22×#127C22semidirect
65. C2×#525C22semidirect
66. C2×#525C22semidirect
67. C2×#525C22semidirect
68. C22×C4×D4C22semidirect
70. #2860C22semidirect
71. #2860C22semidirect
72. #2858C22semidirect
73. #2858C22semidirect
74. #2858C22semidirect
75. #2858C22semidirect
76. #2858C22semidirect
77. #2857C22semidirect
79. #2847C22semidirect
80. #2819C22semidirect
81. #2818C22semidirect
82. #2733C22semidirect
83. #2733C22semidirect
84. #2730C22semidirect
85. #2730C22semidirect
86. #2714C22semidirect
87. #2710C22semidirect
88. #2705C22semidirect
89. #2703C22semidirect
90. #2696C22semidirect
91. #2692C22semidirect
92. #2685C22semidirect
93. #2685C22semidirect
96. #2678C22semidirect
97. #2676C22semidirect
98. #2676C22semidirect
99. #2674C22semidirect
100. #2674C22semidirect
101. #2673C22semidirect
102. #2673C22semidirect
103. #2673C22semidirect
104. #2673C22semidirect
105. #2672C22semidirect
106. #2672C22semidirect
109. #2670C22semidirect
110. #2670C22semidirect
111. #2670C22semidirect
112. #2669C22semidirect
113. #2669C22semidirect
114. #2669C22semidirect
115. #2662C22semidirect
116. #2662C22semidirect
117. #2662C22semidirect
118. #2657C22semidirect
119. #2636C22semidirect
120. #2632C22semidirect
121. #2631C22semidirect
122. #2620C22semidirect
123. #2616C22semidirect
124. #2610C22semidirect
125. #2604C22semidirect
126. #2598C22semidirect
127. #2555C22semidirect
128. #2551C22semidirect
129. #2551C22semidirect
130. #2548C22semidirect
131. #2548C22semidirect
132. #2548C22semidirect
133. #2548C22semidirect
134. #2548C22semidirect
135. #2548C22semidirect
136. #2544C22semidirect
137. #2544C22semidirect
138. #2544C22semidirect
139. #2542C22semidirect
140. #2542C22semidirect
141. #2542C22semidirect
146. #2541C22semidirect
147. #2541C22semidirect
148. #2541C22semidirect
149. #2541C22semidirect
150. #2541C22semidirect
151. #2541C22semidirect
152. #2540C22semidirect
153. #2540C22semidirect
154. #2540C22semidirect
155. #2540C22semidirect
156. #2540C22semidirect
157. #2540C22semidirect
158. #2539C22semidirect
159. #2538C22semidirect
160. #2538C22semidirect
161. #2537C22semidirect
162. #2521C22semidirect
163. #2512C22semidirect
164. #2501C22semidirect
165. #2496C22semidirect
166. #2492C22semidirect
169. #2491C22semidirect
170. #2491C22semidirect
171. #2491C22semidirect
172. #2491C22semidirect
173. #2491C22semidirect
174. #2479C22semidirect
175. #2472C22semidirect
176. #2472C22semidirect
177. #2471C22semidirect
179. #2463C22semidirect
180. #2463C22semidirect
181. #2461C22semidirect
182. #2461C22semidirect
183. #2461C22semidirect
184. #2461C22semidirect
185. #2461C22semidirect
186. #2456C22semidirect
187. #2456C22semidirect
188. #2456C22semidirect
189. #2452C22semidirect
190. #2452C22semidirect
191. #2452C22semidirect
192. #2445C22semidirect
193. #2445C22semidirect
194. #2445C22semidirect
195. #2445C22semidirect
196. #2445C22semidirect
197. #2445C22semidirect
198. #2445C22semidirect
199. #2445C22semidirect
200. #2445C22semidirect
201. #2445C22semidirect
202. #2440C22semidirect
203. #2436C22semidirect
204. #2435C22semidirect
207. #2433C22semidirect
208. #2433C22semidirect
209. #2433C22semidirect
210. #2433C22semidirect
211. #2433C22semidirect
213. #2431C22semidirect
217. #2428C22semidirect
218. #2428C22semidirect
219. #2428C22semidirect
220. #2427C22semidirect
221. #2426C22semidirect
222. #2426C22semidirect
223. #2426C22semidirect
224. #2426C22semidirect
226. #2424C22semidirect
227. #2424C22semidirect
229. #2422C22semidirect
230. #2418C22semidirect
231. #2418C22semidirect
233. #2415C22semidirect
234. #2415C22semidirect
235. #2414C22semidirect
236. #2414C22semidirect
237. #2414C22semidirect
238. #2414C22semidirect
239. #2414C22semidirect
240. #2410C22semidirect
241. #2409C22semidirect
245. #2408C22semidirect
246. #2407C22semidirect
247. #2407C22semidirect
248. #2397C22semidirect
249. #2392C22semidirect
251. #2373C22semidirect
252. #2373C22semidirect
254. #2366C22semidirect
255. #2366C22semidirect
256. #2366C22semidirect
257. #2366C22semidirect
258. #2365C22semidirect
259. #2365C22semidirect
260. #2363C22semidirect
261. #2362C22semidirect
262. #2362C22semidirect
263. #2362C22semidirect
264. #2361C22semidirect
265. #2356C22semidirect
266. #2355C22semidirect
268. #2354C22semidirect
269. #2354C22semidirect
270. #2354C22semidirect
271. #2347C22semidirect
272. #2347C22semidirect
273. D4×C22⋊C4C22semidirect
274. D4×C22⋊C4C22semidirect
275. D4×C22⋊C4C22semidirect
276. #2324C22semidirect
277. #2324C22semidirect
278. C4×C4⋊Q8C22semidirect
279. C4×C4⋊Q8C22semidirect
280. C4×#127C22semidirect
281. C4×#127C22semidirect
282. C4×#127C22semidirect
283. C4×#127C22semidirect
284. C4×#127C22semidirect
285. C4×#126C22semidirect
286. C4×#126C22semidirect
288. C4×C22⋊Q8C22semidirect
289. C4×C22⋊Q8C22semidirect
291. C4×#121C22semidirect
292. C4×#120C22semidirect
293. #2293C22semidirect
294. #2293C22semidirect
295. C42×Q8C22semidirect
296. C42×Q8C22semidirect
298. C4×#117C22semidirect
299. C4×#117C22semidirect
313. #556D4semidirect
937. C4⋊Q8C2×D4semidirect
959. #126C2×D4semidirect
960. #126C2×D4semidirect
1008. C22⋊Q8C2×D4semidirect
1009. C22⋊Q8C2×D4semidirect
1063. C4×Q8C2×D4semidirect
1064. C4×Q8C2×D4semidirect
1105. #117C2×D4semidirect
1106. #117C2×D4semidirect
2004. C4#3540semidirect

Maximal subgroups

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

subgroupindex
C2×#35402
#598222
#594762
#591242
#590802
#590012
#514192
#506552
#459962
#459922
#450932
#448972
#441402
#429872
#428052
#419562
#398862
#394062
#394052
#393962
#393872
#393432
#376582
#365952
#364732
#364652
#362732
#361212
#361012
#352742
#351982
#349362
#346812
C4×#5562