Finite Group Databasebeta

← #7693269

Subgroups — #7693269

Order 512.

7838 conjugacy classes of subgroups.

The subgroup lattice has 2016 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3517C211yesmaximal, characteristic, complemented
2C2×#3519C211yesmaximal, characteristic, complemented
3#59770C212yesmaximal, complemented
4#59412C211yesmaximal, characteristic, complemented
5#59412C212yesmaximal, complemented
6#59407C214yesmaximal, complemented
7#59121C212yesmaximal, complemented
8#59039C211yesmaximal, characteristic, complemented
9#59035C211yesmaximal, characteristic, complemented
10#59003C212yesmaximal, complemented
11#44895C212yesmaximal, complemented
12#44881C212yesmaximal, complemented
13#43926C214yesmaximal, complemented
14#43042C214yesmaximal, complemented
15#39888C212yesmaximal, complemented
16#39884C212yesmaximal, complemented
17#39392C214yesmaximal, complemented
18#39372C212yesmaximal, complemented
19#39127C211yesmaximal, characteristic, complemented
20#39126C211yesmaximal, characteristic, complemented
21#36562C211yesmaximal, characteristic, complemented
22#36468C212yesmaximal, complemented
23#36415C211yesmaximal, characteristic, complemented
24#36411C211yesmaximal, characteristic, complemented
25#36218C212yesmaximal, complemented
26#36149C211yesmaximal, characteristic, complemented
27#36107C212yesmaximal, complemented
28#36100C211yesmaximal, characteristic, complemented
29#35823C212yesmaximal, complemented
30#35763C212yesmaximal, complemented
31#34934C211yesmaximal, characteristic, complemented
32#34743C212yesmaximal, complemented
33#34309C212yesmaximal, complemented
34C4×#550C211yesmaximal, characteristic, complemented
35C4×#546C211yesmaximal, characteristic, complemented
36#3519—216no—
37#3517—216no—
38C2×#557C2211yescharacteristic, complemented
39C2×#555C2211yescharacteristic
40C2×#554C2211yescharacteristic
41C2×#553C2212yes—
42C2×#553C2212yes—
43C2×#553C2214yescomplemented
44C2×#553C2212yescomplemented
45C2×#550C2211yescharacteristic
46C2×#550C2212yescomplemented
47C2×#550C2211yescharacteristic, complemented
48C2×#550C2212yescomplemented
49C2×#547C2211yescharacteristic, complemented
50C2×#547C2212yescomplemented
51C2×#546C2212yes—
52C2×#546C2214yes—
53C2×#546C2211yescharacteristic
54C2×#546C2212yes—
55C2×#546C2212yescomplemented
56C2×D42C2212yes—
57C2×D42C2211yescharacteristic
58C2×#540C2212yes—
59C2×#540C2212yescomplemented
60C2×#540C2214yescomplemented
61C2×#538C2214yes—
62C2×#532C2211yescharacteristic
63C2×#532C2211yescharacteristic, complemented
64C2×#532C2212yescomplemented
65C2×#529C2211yescharacteristic
66C2×#529C2212yescomplemented
67C2×#529C2211yescharacteristic, complemented
68C2×#525C2212yes—
69C2×#525C2212yescomplemented
70C22×#121C2212yes—
71C2×#520C2212yescomplemented
72C2×#518C2212yes—
73C2×C4×#41C2211yescharacteristic, complemented
74C2×C4×#41C2212yescomplemented
75C22×C4×D4C2211yescharacteristic
76#2862C2211yescharacteristic, complemented
77#2859C2212yescomplemented
78#2857C2211yescharacteristic, complemented
79#2857C2211yescharacteristic, complemented
80#2854C2212yescomplemented
81#2854C2214yescomplemented
82#2850C2212yescomplemented
83#2848C2212yescomplemented
84#2725C2214yescomplemented
85#2724C2214yescomplemented
86#2724C2214yescomplemented
87#2709C2214yescomplemented
88#2708C2214yescomplemented
89#2707C2214yescomplemented
90#2702C2214yescomplemented
91#2701C2214yescomplemented
92#2699C2214yescomplemented
93#2697C2214yescomplemented
94#2688C2214yescomplemented
95#2686C2214yescomplemented
96#2682C2214yescomplemented
97#2682C2214yescomplemented
98#2681C2214yescomplemented
99#2678C2214yescomplemented
100#2678C2214yescomplemented
101#2678C2214yescomplemented
102#2678C2214yescomplemented
103#2673C2214yescomplemented
104#2668C2214yescomplemented
105#2630C2214yescomplemented
106#2630C2214yescomplemented
107#2629C2212yescomplemented
108#2629C2212yescomplemented
109#2602C2214yescomplemented
110#2602C2214yescomplemented
111#2579C2214yescomplemented
112#2567C2211yescharacteristic, complemented
113#2566C2212yes—
114#2565C2212yescomplemented
115#2563C2211yescharacteristic, complemented
116#2562C2212yescomplemented
117#2562C2212yescomplemented
118#2559C2214yescomplemented
119#2559C2214yescomplemented
120#2557C2214yescomplemented
121#2557C2214yescomplemented
122#2556C2214yescomplemented
123#2556C2214yescomplemented
124#2554C2212yescomplemented
125#2554C2212yescomplemented
126#2552C2211yescharacteristic, complemented
127#2548C2211yescharacteristic, complemented
128#2547C2211yescharacteristic, complemented
129#2545C2212yescomplemented
130#2543C2214yescomplemented
131#2542C2211yescharacteristic
132#2541C2211yescharacteristic
133#2538C2211yescharacteristic, complemented
134#2538C2212yescomplemented
135#2538C2211yescharacteristic, complemented
136#2537C2211yescharacteristic
137#2537C2212yes—
138#2537C2212yescomplemented
139#2537C2212yescomplemented
140#2536C2212yescomplemented
141#2535C2212yescomplemented
142#2535C2212yescomplemented
143#2535C2212yescomplemented
144#2535C2212yescomplemented
145#2534C2214yescomplemented
146#2534C2214yescomplemented
147#2512C2212yescomplemented
148#2499C2212yescomplemented
149#2496C2214yescomplemented
150#2490C2211yescharacteristic
151#2490C2211yescharacteristic, complemented
152#2485C2212yescomplemented
153#2480C2214yescomplemented
154#2478C2214yescomplemented
155#2476C2214yescomplemented
156#2474C2214yescomplemented
157#2468C2214yescomplemented
158#2466C2214yescomplemented
159#2464C2214yescomplemented
160#2461C2214yescomplemented
161#2456C2214yescomplemented
162#2455C2214yescomplemented
163#2453C2212yescomplemented
164#2447C2212yescomplemented
165#2447C2212yescomplemented
166#2445C2212yescomplemented
167#2445C2212yescomplemented
168#2444C2214yescomplemented
169#2442C2212yescomplemented
170#2435C2212yescomplemented
171#2433C2214yescomplemented
172#2433C2212yescomplemented
173#2431C2212yescomplemented
174#2430C2214yescomplemented
175#2429C2212yescomplemented
176#2429C2212yescomplemented
177#2429C2212yescomplemented
178#2428C2212yescomplemented
179#2428C2214yescomplemented
180#2428C2214yescomplemented
181#2428C2212yescomplemented
182#2427C2212yescomplemented
183#2427C2212yescomplemented
184#2427C2212yescomplemented
185#2426C2212yes—
186#2426C2211yescharacteristic, complemented
187#2426C2211yescharacteristic, complemented
188#2426C2212yescomplemented
189#2425C2214yescomplemented
190#2425C2214yescomplemented
191#2425C2214yescomplemented
192#2425C2214yescomplemented
193#2425C2214yescomplemented
194#2424C2214yescomplemented
195#2424C2214yescomplemented
196#2424C2214yescomplemented
197#2424C2214yescomplemented
198#2424C2214yescomplemented
199#2422C2212yescomplemented
200#2422C2214yescomplemented
201#2422C2212yescomplemented
202#2422C2212yescomplemented
203#2422C2212yescomplemented
204#2422C2212yescomplemented
205#2420C2212yescomplemented
206#2420C2212yescomplemented
207#2420C2212yescomplemented
208#2419C2214yescomplemented
209#2418C2214yescomplemented
210#2418C2214yescomplemented
211#2416C2212yescomplemented
212#2415C2212yescomplemented
213#2414C2212yescomplemented
214#2413C2214yescomplemented
215#2411C2214yescomplemented
216#2410C2214yescomplemented
217#2408C2212yes—
218#2408C2212yes—
219#2408C2212yes—
220#2407C2212yescomplemented
221#2407C2212yescomplemented
222#2407C2212yescomplemented
223#2407C2212yescomplemented
224#2407C2212yescomplemented
225#2407C2212yescomplemented
226#2407C2212yescomplemented
227#2405C2214yescomplemented
228#2392C2214yescomplemented
229#2392C2212yescomplemented
230#2392C2212yescomplemented
231#2392C2214yescomplemented
232#2367C2211yescharacteristic
233#2366C2212yescomplemented
234#2366C2211yescharacteristic, complemented
235#2364C2214yescomplemented
236#2364C2212yescomplemented
237#2363C2211yescharacteristic
238#2363C2214yescomplemented
239#2363C2212yescomplemented
240#2362C2212yescomplemented
241#2361C2212yes—
242#2360C2212yescomplemented
243#2360C2211yescharacteristic, complemented
244#2360C2212yescomplemented
245#2359C2214yescomplemented
246#2359C2212yescomplemented
247#2358C2214yescomplemented
248#2358C2212yescomplemented
249#2354C2211yescharacteristic, complemented
250#2354C2212yescomplemented
251#2354C2212yescomplemented
252#2352C2212yescomplemented
253#2352C2212yescomplemented
254#2352C2211yescharacteristic, complemented
255Q8×C4⋊C4C2211yescharacteristic, complemented
256#2349C2212yescomplemented
257#2349C2211yescharacteristic, complemented
258#2349C2212yescomplemented
259D4×C4⋊C4C2212yescomplemented
260#2342C2214yescomplemented
261#2342C2212yescomplemented
262#2341C2212yescomplemented
263#2339C2212yescomplemented
264#2339C2212yescomplemented
265#2339C2212yescomplemented
266#2339C2211yescharacteristic, complemented
267D4×C22⋊C4C2212yes—
268D4×C22⋊C4C2211yescharacteristic
269D4×C22⋊C4C2214yescomplemented
270D4×C22⋊C4C2212yescomplemented
271#2324C2212yes—
272#2323C2212yescomplemented
273#2322C2214yescomplemented
274#2321C2214yescomplemented
275C4×#127C2211yescharacteristic, complemented
276C4×#127C2211yescharacteristic, complemented
277C4×#127C2212yescomplemented
278C4×#127C2212yescomplemented
279C4×#124C2212yes—
280C4×#124C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic, complemented
282C4×#123C2212yescomplemented
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic, complemented
285C4×#121C2214yescomplemented
286C4×#121C2212yescomplemented
287C4×#121C2214yescomplemented
288C4×#121C2214yescomplemented
289C4×#121C2211yescharacteristic, complemented
290C4×#121C2212yescomplemented
291C4×#120C2212yescomplemented
292#2297C2212yescomplemented
293#2296C2212yescomplemented
294#2293C2212yescomplemented
295C2×#388C2214yescomplemented
296C42×Q8C2211yescharacteristic, complemented
297C42×D4C2212yescomplemented
298C42×D4C2211yescharacteristic, complemented
299C42×D4C2211yescharacteristic, complemented
300C2×C4×C22⋊C4C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2312yes—
305C22×#41C2312yes—
306C22×#41C2312yes—
307C23×D4C2311yescharacteristic
308C23×D4C2312yes—
309C23×D4C2312yes—
310C23×D4C2314yes—
311C24×C4C2312yes—
312#557—28no—
313#555—28no—
314#554—28no—
315#553—216no—
316#553—232no—
317#553—216no—
318#553—216no—
319#550—28no—
320#550—216no—
321#550—216no—
322#550D4116yescomplemented
323#547—216no—
324#547—28no—
325#546—216no—
326#546—216no—
327#546—28no—
328#546—232no—
329#546—48no—
330D42—28no—
331D42—216no—
332#540—216no—
333#540—216no—
334#540—232no—
335#538—232no—
336#532—216no—
337#532—28no—
338#532—28no—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2312yes—
342C2×#127C2314yes—
343C2×#127C2312yes—
344C2×#127C2312yes—
345C2×#127C2311yescharacteristic
346C2×#127C2311yescharacteristic
347C2×#127C2312yes—
348#529—216no—
349#529—28no—
350#529—28no—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2314yes—
354C2×#126C2314yes—
355C2×#125C2312yes—
356C2×#125C2312yes—
357C2×#125C2311yescharacteristic
358C2×#125C2311yescharacteristic
359C2×#125C2314yes—
360C2×#124C2311yescharacteristic
361C2×#124C2311yescharacteristic
362C2×#124C2312yes—
363C2×#124C2312yes—
364C2×#124C2314yes—
365C2×#124C2312yes—
366C2×#124C2311yescharacteristic
367#525—216no—
368#525—48no—
369C2×#123C2314yes—
370C2×#123C2314yes—
371C2×#123C2314yes—
372C2×#123C2312yes—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2312yes—
376C2×#123C2312yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2311yescharacteristic
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2311yescharacteristic
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2311yescharacteristic
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×#121—216no—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2311yescharacteristic
399C2×#121C2314yes—
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2312yes—
403C2×#121C2312yes—
404C2×#121C2312yes—
405C2×#121C2312yes—
406C2×#121C2312yes—
407C2×#121C2312yes—
408C2×#121C2312yes—
409C2×#121C2312yes—
410C2×#121C2311yescharacteristic
411C2×#121C2314yes—
412C2×#121C2314yes—
413C2×#121C2314yes—
414C2×#121C2311yescharacteristic
415C2×#121C2311yescharacteristic
416C2×#121C2311yescharacteristic
417C2×#121C2314yes—
418C2×#121C2314yes—
419C2×#121C2314yes—
420C2×#121C2314yes—
421C2×#121C2314yes—
422C2×#121C2314yes—
423C2×#121C2314yes—
424C2×#121C2314yes—
425C2×#121C2312yes—
426C2×#121C2314yes—
427C2×#121C2314yes—
428C2×#121C2312yes—
429C2×#121C2314yes—
430C2×#120C2314yes—
431C2×#120C2312yes—
432C2×#120C2314yes—
433C2×#120C2314yes—
434C2×#120C2314yes—
435C2×#120C2314yes—
436C2×#120C2314yes—
437C2×#120C2314yes—
438#520—216no—
439#518—216no—
440C4×#41—28no—
441C4×#41—48no—
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2311yescharacteristic
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×D4—28no—
451C2×C4×D4C2312yes—
452C2×C4×D4C2311yescharacteristic
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2312yes—
460C2×C4×D4C2314yes—
461C2×C4×D4C2314yes—
462C2×C4×D4C2314yes—
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2314yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2314yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2314yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2314yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2312yes—
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2314yes—
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2312yes—
488C2×C4×D4C2314yes—
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2314yes—
491C2×C4×D4C2314yes—
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2312yes—
494C2×C4×D4C2314yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2311yescharacteristic
497C2×C4×D4C2312yes—
498C2×#117C2312yes—
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2314yes—
502C2×#117C2312yes—
503C2×#117C2311yescharacteristic
504C2×#117C2312yes—
505C2×#117C2312yes—
506C2×#117C2314yes—
507C22×C4⋊C4C2314yes—
508C22×C4⋊C4C2311yescharacteristic
509C22×C4⋊C4C2312yes—
510C22×C4⋊C4C2312yes—
511C22×C22⋊C4C2314yes—
512C22×C22⋊C4C2312yes—
513C22×C22⋊C4C2314yes—
514C22×C22⋊C4C2312yes—
515C22×C22⋊C4C2314yes—
516C22×C22⋊C4C2312yes—
517C22×C22⋊C4C2314yes—
518C22×C42C2312yes—
519C22×C42C2311yescharacteristic
520C22×C42C2311yescharacteristic
521C22×C42C2312yes—
522C22×C42C2314yes—
523#400C2314yes—
524#400C2314yes—
525#399C2314yes—
526#398C2314yes—
527#398C2314yes—
528#398C2314yes—
529#398C2314yes—
530#398C2314yes—
531#398C2314yes—
532#398C2312yes—
533#398C2312yes—
534#397C2314yes—
535#397C2314yes—
536#397C2314yes—
537#397C2314yes—
538#397C2314yes—
539#397C2314yes—
540#397C2312yes—
541#397C2312yes—
542#397C2314yes—
543#397C2314yes—
544#397C2314yes—
545#397C2314yes—
546#397C2314yes—
547#396C2314yes—
548#396C2314yes—
549#396C2312yes—
550#396C2314yes—
551#396C2314yes—
552#396C2314yes—
553#396C2314yes—
554#396C2314yes—
555#396C2312yes—
556#396C2314yes—
557#396C2312yes—
558#396C2312yes—
559#396C2314yes—
560#395C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2312yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2312yes—
574#394C2312yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2312yes—
579#394C2314yes—
580#394C2314yes—
581#394C2312yes—
582#394C2312yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#394C2314yes—
588#393C2314yes—
589#392C2314yes—
590#392C2314yes—
591#392C2314yes—
592#392C2314yes—
593#392C2314yes—
594#392C2314yes—
595#392C2312yes—
596#392C2312yes—
597#392C2314yes—
598#392C2314yes—
599#392C2314yes—
600#392C2314yes—
601#391C2311yescharacteristic
602#391C2312yes—
603#391C2311yescharacteristic
604#391C2312yes—
605#391C2312yes—
606#391C2312yes—
607#391C2312yes—
608#391C2312yes—
609#391C2312yes—
610#391C2312yes—
611#390C2311yescharacteristic
612#390C2312yes—
613#390C2312yes—
614#390C2314yes—
615#390C2312yes—
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2314yes—
623#390C2312yes—
624#390C2312yes—
625#390C2312yes—
626#390C2311yescharacteristic
627#390C2312yes—
628#390C2312yes—
629#390C2311yescharacteristic
630#390C2312yes—
631#390C2312yes—
632#390C2314yes—
633#390C2311yescharacteristic
634#390C2312yes—
635#390C2314yes—
636#390C2312yes—
637#390C2314yes—
638#390C2311yescharacteristic
639#390C2314yes—
640#390C2312yes—
641#390C2312yes—
642#390C2311yescharacteristic
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2314yes—
647#389C2312yes—
648#389C2312yes—
649#389C2312yes—
650#389C2314yes—
651#389C2314yes—
652#389C2312yes—
653#389C2314yes—
654#389C2314yes—
655#389C2314yes—
656#389C2311yescharacteristic
657#389C2311yescharacteristic
658#389C2311yescharacteristic
659#389C2312yes—
660#389C2314yes—
661#389C2312yes—
662#389C2312yes—
663#389C2312yes—
664#389C2314yes—
665#389C2311yescharacteristic
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2312yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2312yes—
679#388C2312yes—
680#388C2312yes—
681#388C2312yes—
682#388C2312yes—
683#388C2312yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2312yes—
690#388C2314yes—
691#388C2314yes—
692#388C2312yes—
693#388C2312yes—
694#388C2314yes—
695#388C2312yes—
696#388C2312yes—
697#388C2312yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2312yes—
705#387C2312yes—
706#387C2312yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2312yes—
716#386C2312yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2312yes—
726#386C2312yes—
727#386C2314yes—
728#386C2312yes—
729#386C2314yes—
730#386C2312yes—
731#386C2312yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2312yes—
736#386C2312yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2312yes—
744#385C2314yes—
745#385C2314yes—
746#385C2312yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2312yes—
753#385C2314yes—
754#385C2312yes—
755#385C2312yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#384C2311yescharacteristic
761#384C2312yes—
762#384C2312yes—
763#384C2311yescharacteristic
764#384C2312yes—
765#384C2312yes—
766#382C2312yes—
767#382C2312yes—
768#382C2311yescharacteristic
769#382C2312yes—
770#381C2314yes—
771#381C2312yes—
772#381C2314yes—
773#381C2314yes—
774#380C2311yescharacteristic
775#380C2311yescharacteristic
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2312yes—
783#380C2314yes—
784#380C2311yescharacteristic
785#380C2312yes—
786#380C2312yes—
787#380C2314yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2314yes—
792#380C2314yes—
793#380C2312yes—
794#380C2311yescharacteristic
795#380C2314yes—
796#379C2314yes—
797#379C2314yes—
798#379C2312yes—
799#379C2314yes—
800#379C2314yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2314yes—
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2314yes—
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2312yes—
818C4×C22⋊C4C2314yes—
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2314yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2311yescharacteristic
824C4×C22⋊C4C2311yescharacteristic
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2311yescharacteristic
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2312yes—
844C2×#95C2314yes—
845C2×#95C2314yes—
846C2×#95C2312yes—
847C2×#95C2312yes—
848C43C2312yes—
849C43C2311yescharacteristic
850C25C2412yes—
851C25C2414yes—
852C2×#41—24no—
853C2×#41—28no—
854C2×#41—24no—
855C2×#41—28no—
856C2×#41—28no—
857C2×#41—28no—
858C2×#41—28no—
859C2×#41—44no—
860C2×#41—44no—
861C2×#41—44no—
862C2×#41—42no—
863C2×#41—44no—
864C2×#41—44no—
865C2×#41—44no—
866C2×#41—44no—
867C2×#41—44no—
868C2×#41—82no—
869C2×#41C2×D4116yes—
870C22×Q8C2412yes—
871C22×Q8C2411yescharacteristic
872C22×Q8C2411yescharacteristic
873C22×Q8C2412yes—
874C22×D4—24no—
875C22×D4—28no—
876C22×D4—24no—
877C22×D4—28no—
878C22×D4—28no—
879C22×D4—216no—
880C22×D4—42no—
881C22×D4—44no—
882C22×D4—44no—
883C22×D4—44no—
884C22×D4—48no—
885C22×D4—84no—
886C22×D4C2411yescharacteristic
887C22×D4C2411yescharacteristic
888C22×D4C2412yes—
889C22×D4C2411yescharacteristic
890C22×D4C2414yes—
891C22×D4C2412yes—
892C22×D4C2414yes—
893C22×D4C2412yes—
894C22×D4C2414yes—
895C22×D4C2412yes—
896C22×D4C2411yescharacteristic
897C22×D4C2412yes—
898C22×D4C2412yes—
899C22×D4C2411yescharacteristic
900C22×D4C2412yes—
901C22×D4C2414yes—
902C22×D4C2412yes—
903C22×D4C2412yes—
904C22×D4C2414yes—
905C22×D4C2412yes—
906C22×D4C2414yes—
907C22×D4C2414yes—
908C22×D4C2414yes—
909C22×D4C2414yes—
910C22×D4C2412yes—
911C22×D4C2414yes—
912C22×D4C2412yes—
913C22×D4C2414yes—
914C23×C4—28no—
915C23×C4—44no—
916C23×C4—44no—
917C23×C4C2412yes—
918C23×C4C2411yescharacteristic
919C23×C4C2412yes—
920C23×C4C2412yes—
921C23×C4C2411yescharacteristic
922C23×C4C2411yescharacteristic
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C23×C4C2414yes—
926C23×C4C2412yes—
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2414yes—
931C23×C4C2414yes—
932C23×C4C2412yes—
933C23×C4C2414yes—
934C23×C4C2414yes—
935C23×C4C2414yes—
936C23×C4C2412yes—
937C23×C4C2414yes—
938C23×C4C2411yescharacteristic
939C23×C4C2412yes—
940C23×C4C2412yes—
941C23×C4C2414yes—
942C4⋊Q8—28no—
943C4⋊Q8—24no—
944C4⋊Q8—24no—
945#127—28no—
946#127—216no—
947#127—42no—
948#127—44no—
949#127C2×D418yes—
950#127C2×D4116yes—
951#126—28no—
952#126—28no—
953#126—216no—
954#126—216no—
955#125—24no—
956#125—24no—
957#125—216no—
958#125—28no—
959#125—28no—
960#124—24no—
961#124—24no—
962#124—28no—
963#124—28no—
964#124—216no—
965#124—44no—
966#124#4118yescomplemented
967#123—216no—
968#123—216no—
969#123—216no—
970#123—216no—
971#123—216no—
972#123—216no—
973#123—28no—
974#123—28no—
975#123—216no—
976#123—216no—
977#123—28no—
978#123—48no—
979#123—48no—
980#123—84no—
981#123—84no—
982C22⋊Q8—24no—
983C22⋊Q8—28no—
984C22⋊Q8—24no—
985C22⋊Q8—28no—
986C22⋊Q8—24no—
987C22⋊Q8—28no—
988C22⋊Q8—216no—
989C22⋊Q8—28no—
990C22⋊Q8—44no—
991C22⋊Q8—44no—
992C22⋊Q8—82no—
993#121—28no—
994#121—216no—
995#121—28no—
996#121—28no—
997#121—216no—
998#121—28no—
999#121—28no—
1000#121—216no—
1001#121—216no—
1002#121—28no—
1003#121—28no—
1004#121—216no—
1005#121—28no—
1006#121—216no—
1007#121—216no—
1008#121—28no—
1009#121—216no—
1010#121—28no—
1011#121—24no—
1012#121—28no—
1013#121—24no—
1014#121—24no—
1015#121—24no—
1016#121—24no—
1017#121—216no—
1018#121—216no—
1019#121—216no—
1020#121—28no—
1021#121—48no—
1022#121—44no—
1023#121—48no—
1024#121—84no—
1025#121C2×D4116yes—
1026#121C2×D4132yes—
1027#120—216no—
1028#120—216no—
1029#120—216no—
1030#120—28no—
1031#120—216no—
1032#120—48no—
1033#120—48no—
1034#120—84no—
1035C4×Q8—24no—
1036C4×Q8—28no—
1037C4×Q8—24no—
1038C4×Q8—24no—
1039C4×Q8—28no—
1040C4×Q8—42no—
1041C4×Q8—44no—
1042C4×Q8C2×D418yes—
1043C4×D4—24no—
1044C4×D4—24no—
1045C4×D4—28no—
1046C4×D4—28no—
1047C4×D4—28no—
1048C4×D4—216no—
1049C4×D4—28no—
1050C4×D4—28no—
1051C4×D4—28no—
1052C4×D4—28no—
1053C4×D4—216no—
1054C4×D4—216no—
1055C4×D4—216no—
1056C4×D4—216no—
1057C4×D4—24no—
1058C4×D4—28no—
1059C4×D4—28no—
1060C4×D4—28no—
1061C4×D4—216no—
1062C4×D4—216no—
1063C4×D4—24no—
1064C4×D4—28no—
1065C4×D4—28no—
1066C4×D4—24no—
1067C4×D4—24no—
1068C4×D4—28no—
1069C4×D4—24no—
1070C4×D4—28no—
1071C4×D4—28no—
1072C4×D4—24no—
1073C4×D4—48no—
1074C4×D4—48no—
1075C4×D4—42no—
1076C4×D4—44no—
1077C4×D4—44no—
1078C4×D4—48no—
1079C4×D4—44no—
1080C4×D4—44no—
1081C4×D4—44no—
1082C4×D4—42no—
1083C4×D4—44no—
1084C4×D4—48no—
1085C4×D4—42no—
1086C4×D4—82no—
1087C4×D4—84no—
1088C4×D4C2×D418yes—
1089C4×D4C2×D4116yes—
1090#117—28no—
1091#117—24no—
1092#117—28no—
1093#117—28no—
1094#117—28no—
1095#117—216no—
1096#117—28no—
1097#117—28no—
1098#117—48no—
1099C2×C4⋊C4—216no—
1100C2×C4⋊C4—24no—
1101C2×C4⋊C4—28no—
1102C2×C4⋊C4—28no—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2411yescharacteristic
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2411yescharacteristic
1154C2×C4⋊C4C2411yescharacteristic
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2411yescharacteristic
1157C2×C22⋊C4—216no—
1158C2×C22⋊C4—28no—
1159C2×C22⋊C4—216no—
1160C2×C22⋊C4—28no—
1161C2×C22⋊C4—216no—
1162C2×C22⋊C4—48no—
1163C2×C22⋊C4—44no—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2411yescharacteristic
1169C2×C22⋊C4C2411yescharacteristic
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2411yescharacteristic
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2411yescharacteristic
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2411yescharacteristic
1221C2×C22⋊C4C2411yescharacteristic
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2412yes—
1241C2×C42—28no—
1242C2×C42—24no—
1243C2×C42—24no—
1244C2×C42—48no—
1245C2×C42—44no—
1246C2×C42C2411yescharacteristic
1247C2×C42C2411yescharacteristic
1248C2×C42C2412yes—
1249C2×C42C2414yes—
1250C2×C42C2412yes—
1251C2×C42C2411yescharacteristic
1252C2×C42C2414yes—
1253C2×C42C2414yes—
1254C2×C42C2411yescharacteristic
1255C2×C42C2411yescharacteristic
1256C2×C42C2412yes—
1257C2×C42C2412yes—
1258C2×C42C2412yes—
1259C2×C42C2411yescharacteristic
1260C2×C42C2412yes—
1261C2×C42C2411yescharacteristic
1262C2×C42C2411yescharacteristic
1263C2×C42C2411yescharacteristic
1264C2×C42C2412yes—
1265C2×C42C2412yes—
1266C2×C42C2411yescharacteristic
1267C2×C42C2414yes—
1268C2×C42C2411yescharacteristic
1269C2×C42C2412yes—
1270C2×C42C2412yes—
1271C2×C42C2412yes—
1272C2×C42C2412yes—
1273C2×C42C2411yescharacteristic
1274C2×C42C2411yescharacteristic
1275#95C2411yescharacteristic
1276#95C2411yescharacteristic
1277#95C2411yescharacteristic
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2414yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2412yes—
1292#95C2414yes—
1293#95C2412yes—
1294#95C2411yescharacteristic
1295#95C2411yescharacteristic
1296#95C2412yes—
1297#95C2414yes—
1298#95C2411yescharacteristic
1299#95C2412yes—
1300#95C2414yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2412yes—
1306#95C2414yes—
1307#95C2412yes—
1308#95C2414yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2412yes—
1312#95C2412yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319C24—24no—
1320C24—24no—
1321C24—24no—
1322C24—28no—
1323C24—28no—
1324C24—42no—
1325C24—42no—
1326C24—42no—
1327C24—44no—
1328C24—42no—
1329C24—44no—
1330C24—44no—
1331C24—44no—
1332C24—44no—
1333C24C2512yes—
1334C24C2512yes—
1335C24C2511yescharacteristic
1336C24C2512yes—
1337C24C2514yes—
1338C24C2512yes—
1339C24C2511yescharacteristic
1340#41—432no—
1341#41—416no—
1342#41—432no—
1343#41—816no—
1344#41—816no—
1345#41—816no—
1346C2×Q8—22no—
1347C2×Q8—24no—
1348C2×Q8—24no—
1349C2×Q8—22no—
1350C2×Q8—24no—
1351C2×Q8—22no—
1352C2×Q8—22no—
1353C2×Q8—24no—
1354C2×Q8—42no—
1355C2×Q8—42no—
1356C2×Q8C22×D414yes—
1357C2×Q8C2×#4114yes—
1358C2×D4—24no—
1359C2×D4—28no—
1360C2×D4—24no—
1361C2×D4—28no—
1362C2×D4—28no—
1363C2×D4—24no—
1364C2×D4—28no—
1365C2×D4—22no—
1366C2×D4—24no—
1367C2×D4—28no—
1368C2×D4—24no—
1369C2×D4—28no—
1370C2×D4—28no—
1371C2×D4—28no—
1372C2×D4—28no—
1373C2×D4—28no—
1374C2×D4—24no—
1375C2×D4—28no—
1376C2×D4—22no—
1377C2×D4—24no—
1378C2×D4—22no—
1379C2×D4—22no—
1380C2×D4—24no—
1381C2×D4—22no—
1382C2×D4—24no—
1383C2×D4—22no—
1384C2×D4—24no—
1385C2×D4—28no—
1386C2×D4—24no—
1387C2×D4—24no—
1388C2×D4—24no—
1389C2×D4—22no—
1390C2×D4—22no—
1391C2×D4—24no—
1392C2×D4—22no—
1393C2×D4—24no—
1394C2×D4—22no—
1395C2×D4—24no—
1396C2×D4—22no—
1397C2×D4—22no—
1398C2×D4—44no—
1399C2×D4—41no—
1400C2×D4—42no—
1401C2×D4—44no—
1402C2×D4—42no—
1403C2×D4—44no—
1404C2×D4—42no—
1405C2×D4—44no—
1406C2×D4—42no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—42no—
1410C2×D4—42no—
1411C2×D4—44no—
1412C2×D4—42no—
1413C2×D4—44no—
1414C2×D4—42no—
1415C2×D4—42no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—42no—
1419C2×D4—44no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—42no—
1424C2×D4—42no—
1425C2×D4—44no—
1426C2×D4—42no—
1427C2×D4—42no—
1428C2×D4—42no—
1429C2×D4—42no—
1430C2×D4—42no—
1431C2×D4—44no—
1432C2×D4—44no—
1433C2×D4—44no—
1434C2×D4—44no—
1435C2×D4—416no—
1436C2×D4—432no—
1437C2×D4—816no—
1438C2×D4—832no—
1439C2×D4C22×D414yes—
1440C2×D4C22×D418yes—
1441C2×D4C22×D418yes—
1442C2×D4C22×D418yes—
1443C2×D4C22×D4116yes—
1444C2×D4C22×D4116yes—
1445C2×D4C2×#4114yes—
1446C22×C4—24no—
1447C22×C4—24no—
1448C22×C4—24no—
1449C22×C4—28no—
1450C22×C4—22no—
1451C22×C4—24no—
1452C22×C4—28no—
1453C22×C4—28no—
1454C22×C4—24no—
1455C22×C4—22no—
1456C22×C4—22no—
1457C22×C4—22no—
1458C22×C4—22no—
1459C22×C4—22no—
1460C22×C4—24no—
1461C22×C4—24no—
1462C22×C4—24no—
1463C22×C4—28no—
1464C22×C4—24no—
1465C22×C4—24no—
1466C22×C4—22no—
1467C22×C4—22no—
1468C22×C4—24no—
1469C22×C4—22no—
1470C22×C4—24no—
1471C22×C4—22no—
1472C22×C4—22no—
1473C22×C4—24no—
1474C22×C4—24no—
1475C22×C4—22no—
1476C22×C4—22no—
1477C22×C4—22no—
1478C22×C4—24no—
1479C22×C4—22no—
1480C22×C4—24no—
1481C22×C4—24no—
1482C22×C4—28no—
1483C22×C4—28no—
1484C22×C4—24no—
1485C22×C4—28no—
1486C22×C4—28no—
1487C22×C4—44no—
1488C22×C4—44no—
1489C22×C4—44no—
1490C22×C4—42no—
1491C22×C4—41no—
1492C22×C4—42no—
1493C22×C4—44no—
1494C22×C4—42no—
1495C22×C4—44no—
1496C22×C4—42no—
1497C22×C4—42no—
1498C22×C4—42no—
1499C22×C4—42no—
1500C22×C4—44no—
1501C22×C4—44no—
1502C22×C4—41no—
1503C22×C4—42no—
1504C22×C4—44no—
1505C22×C4—42no—
1506C22×C4—44no—
1507C22×C4—44no—
1508C22×C4—41no—
1509C22×C4—42no—
1510C22×C4—42no—
1511C22×C4—44no—
1512C22×C4—42no—
1513C22×C4—42no—
1514C22×C4—42no—
1515C22×C4—44no—
1516C22×C4—44no—
1517C22×C4—44no—
1518C22×C4—44no—
1519C22×C4—816no—
1520C22×C4C22×D418yes—
1521C22×C4C22×D4116yes—
1522C22×C4C2512yes—
1523C22×C4C2511yescharacteristic
1524C22×C4C2511yescharacteristic
1525C22×C4C2511yescharacteristic
1526C22×C4C2514yes—
1527C22×C4C2511yescharacteristic
1528C22×C4C2512yes—
1529C22×C4C2512yes—
1530C22×C4C2514yes—
1531C22×C4C2511yescharacteristic
1532C22×C4C2512yes—
1533C22×C4C2511yescharacteristic
1534C22×C4C2511yescharacteristic
1535C22×C4C2514yes—
1536C22×C4C2512yes—
1537C22×C4C2512yes—
1538C22×C4C2511yescharacteristic
1539C22×C4C2512yes—
1540C22×C4C2512yes—
1541C22×C4C2511yescharacteristic
1542C22×C4C2512yes—
1543C22×C4C2512yes—
1544C22×C4C2511yescharacteristic
1545C22×C4C2511yescharacteristic
1546C22×C4C2512yes—
1547C22×C4C2512yes—
1548C22×C4C2511yescharacteristic
1549C22×C4C2511yescharacteristic
1550C4⋊C4—24no—
1551C4⋊C4—24no—
1552C4⋊C4—28no—
1553C4⋊C4—24no—
1554C4⋊C4—22no—
1555C4⋊C4—24no—
1556C4⋊C4—28no—
1557C4⋊C4—24no—
1558C4⋊C4—28no—
1559C4⋊C4—24no—
1560C4⋊C4—22no—
1561C4⋊C4—24no—
1562C4⋊C4—24no—
1563C4⋊C4—24no—
1564C4⋊C4—24no—
1565C4⋊C4—22no—
1566C4⋊C4—22no—
1567C4⋊C4—24no—
1568C4⋊C4—24no—
1569C4⋊C4—28no—
1570C4⋊C4—28no—
1571C4⋊C4—24no—
1572C4⋊C4—28no—
1573C4⋊C4—24no—
1574C4⋊C4—22no—
1575C4⋊C4—22no—
1576C4⋊C4—24no—
1577C4⋊C4—28no—
1578C4⋊C4—24no—
1579C4⋊C4—24no—
1580C4⋊C4—24no—
1581C4⋊C4—28no—
1582C4⋊C4—22no—
1583C4⋊C4—22no—
1584C4⋊C4—44no—
1585C4⋊C4—41no—
1586C4⋊C4—42no—
1587C4⋊C4—42no—
1588C4⋊C4—41no—
1589C4⋊C4—42no—
1590C4⋊C4—44no—
1591C4⋊C4—42no—
1592C4⋊C4—44no—
1593C4⋊C4—42no—
1594C4⋊C4—42no—
1595C4⋊C4—44no—
1596C4⋊C4—44no—
1597C4⋊C4—44no—
1598C4⋊C4—44no—
1599C4⋊C4—42no—
1600C4⋊C4C22×D414yes—
1601C4⋊C4C22×D414yes—
1602C4⋊C4C22×D418yes—
1603C4⋊C4H(5,𝔽2)14yes—
1604C22⋊C4—24no—
1605C22⋊C4—28no—
1606C22⋊C4—24no—
1607C22⋊C4—28no—
1608C22⋊C4—28no—
1609C22⋊C4—28no—
1610C22⋊C4—28no—
1611C22⋊C4—28no—
1612C22⋊C4—28no—
1613C22⋊C4—28no—
1614C22⋊C4—24no—
1615C22⋊C4—28no—
1616C22⋊C4—22no—
1617C22⋊C4—24no—
1618C22⋊C4—24no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—28no—
1622C22⋊C4—28no—
1623C22⋊C4—24no—
1624C22⋊C4—24no—
1625C22⋊C4—24no—
1626C22⋊C4—24no—
1627C22⋊C4—24no—
1628C22⋊C4—24no—
1629C22⋊C4—24no—
1630C22⋊C4—24no—
1631C22⋊C4—24no—
1632C22⋊C4—24no—
1633C22⋊C4—22no—
1634C22⋊C4—24no—
1635C22⋊C4—24no—
1636C22⋊C4—28no—
1637C22⋊C4—24no—
1638C22⋊C4—28no—
1639C22⋊C4—22no—
1640C22⋊C4—24no—
1641C22⋊C4—24no—
1642C22⋊C4—28no—
1643C22⋊C4—28no—
1644C22⋊C4—28no—
1645C22⋊C4—24no—
1646C22⋊C4—42no—
1647C22⋊C4—42no—
1648C22⋊C4—42no—
1649C22⋊C4—44no—
1650C22⋊C4—44no—
1651C22⋊C4—44no—
1652C22⋊C4—42no—
1653C22⋊C4—42no—
1654C22⋊C4—42no—
1655C22⋊C4—42no—
1656C22⋊C4—42no—
1657C22⋊C4—42no—
1658C22⋊C4—42no—
1659C22⋊C4—41no—
1660C22⋊C4—41no—
1661C22⋊C4—41no—
1662C22⋊C4—44no—
1663C22⋊C4—42no—
1664C22⋊C4—44no—
1665C22⋊C4—44no—
1666C22⋊C4—44no—
1667C22⋊C4—44no—
1668C22⋊C4—44no—
1669C22⋊C4—42no—
1670C22⋊C4—44no—
1671C22⋊C4—44no—
1672C22⋊C4—44no—
1673C22⋊C4—44no—
1674C22⋊C4—44no—
1675C22⋊C4—42no—
1676C22⋊C4—42no—
1677C22⋊C4C22×D4116yes—
1678C22⋊C4C22×D418yes—
1679C22⋊C4C2×#4118yes—
1680C22⋊C4C2×#4118yes—
1681C42—22no—
1682C42—22no—
1683C42—24no—
1684C42—22no—
1685C42—24no—
1686C42—22no—
1687C42—22no—
1688C42—24no—
1689C42—22no—
1690C42—28no—
1691C42—28no—
1692C42—24no—
1693C42—22no—
1694C42—28no—
1695C42—24no—
1696C42—24no—
1697C42—22no—
1698C42—22no—
1699C42—42no—
1700C42—42no—
1701C42—44no—
1702C42—41no—
1703C42—42no—
1704C42—41no—
1705C42—42no—
1706C42—42no—
1707C42C22×D414yes—
1708C42C22×D418yes—
1709C42C2×#4114yes—
1710C23—22no—
1711C23—21no—
1712C23—21no—
1713C23—22no—
1714C23—24no—
1715C23—22no—
1716C23—22no—
1717C23—24no—
1718C23—21no—
1719C23—22no—
1720C23—21no—
1721C23—22no—
1722C23—21no—
1723C23—22no—
1724C23—24no—
1725C23—22no—
1726C23—24no—
1727C23—24no—
1728C23—22no—
1729C23—22no—
1730C23—24no—
1731C23—22no—
1732C23—22no—
1733C23—21no—
1734C23—22no—
1735C23—21no—
1736C23—22no—
1737C23—22no—
1738C23—21no—
1739C23—22no—
1740C23—22no—
1741C23—22no—
1742C23—21no—
1743C23—22no—
1744C23—21no—
1745C23—22no—
1746C23—22no—
1747C23—21no—
1748C23—21no—
1749C23—22no—
1750C23—22no—
1751C23—22no—
1752C23—21no—
1753C23—22no—
1754C23—22no—
1755C23—48no—
1756C23—48no—
1757C23—48no—
1758C23—416no—
1759C23—84no—
1760C23—84no—
1761C23—84no—
1762C23—88no—
1763C23—88no—
1764C23—88no—
1765C23—88no—
1766C23—84no—
1767C23—164no—
1768C23—164no—
1769C23C23×D418yes—
1770C23C23×D414yes—
1771C23C22×#4114yes—
1772C23#58512yes—
1773C23C2611yescharacteristic
1774Q8—28no—
1775Q8—28no—
1776Q8—48no—
1777Q8—84no—
1778D4—28no—
1779D4—28no—
1780D4—216no—
1781D4—216no—
1782D4—416no—
1783D4—416no—
1784D4—48no—
1785D4—48no—
1786D4—44no—
1787D4—48no—
1788D4—48no—
1789D4—416no—
1790D4—48no—
1791D4—416no—
1792D4—416no—
1793D4—44no—
1794D4—44no—
1795D4—84no—
1796D4—84no—
1797D4—84no—
1798D4—84no—
1799D4—88no—
1800D4—88no—
1801D4—88no—
1802D4—88no—
1803D4—88no—
1804D4—88no—
1805D4—84no—
1806C2×C4—22no—
1807C2×C4—21no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—21no—
1811C2×C4—22no—
1812C2×C4—21no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—21no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—21no—
1820C2×C4—22no—
1821C2×C4—21no—
1822C2×C4—216no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—22no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—22no—
1830C2×C4—21no—
1831C2×C4—24no—
1832C2×C4—24no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—24no—
1837C2×C4—21no—
1838C2×C4—22no—
1839C2×C4—21no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—21no—
1843C2×C4—22no—
1844C2×C4—24no—
1845C2×C4—21no—
1846C2×C4—21no—
1847C2×C4—24no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—21no—
1851C2×C4—21no—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—21no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—21no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—21no—
1863C2×C4—21no—
1864C2×C4—21no—
1865C2×C4—21no—
1866C2×C4—24no—
1867C2×C4—24no—
1868C2×C4—22no—
1869C2×C4—22no—
1870C2×C4—21no—
1871C2×C4—24no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—21no—
1875C2×C4—21no—
1876C2×C4—24no—
1877C2×C4—416no—
1878C2×C4—48no—
1879C2×C4—416no—
1880C2×C4—44no—
1881C2×C4—44no—
1882C2×C4—48no—
1883C2×C4—44no—
1884C2×C4—48no—
1885C2×C4—44no—
1886C2×C4—48no—
1887C2×C4—44no—
1888C2×C4—84no—
1889C2×C4—88no—
1890C2×C4—82no—
1891C2×C4—88no—
1892C2×C4—84no—
1893C2×C4—84no—
1894C2×C4—88no—
1895C2×C4—88no—
1896C2×C4—84no—
1897C2×C4—84no—
1898C2×C4—88no—
1899C2×C4—88no—
1900C2×C4—84no—
1901C2×C4C23×D414yes—
1902C2×C4C23×D412yes—
1903C2×C4C23×D414yes—
1904C2×C4C23×D414yes—
1905C2×C4C23×D412yes—
1906C2×C4C23×D412yes—
1907C2×C4C22×#4112yes—
1908C2×C4C22×#4112yes—
1909C2×C4C22×#4114yes—
1910C2×C4C22×#4112yes—
1911C2×C4C2×H(5,𝔽2)14yes—
1912C2×C4C2×H(5,𝔽2)12yes—
1913C2×C4#58512yes—
1914C2×C4#58512yes—
1915C22—24no—
1916C22—22no—
1917C22—28no—
1918C22—24no—
1919C22—22no—
1920C22—24no—
1921C22—28no—
1922C22—22no—
1923C22—24no—
1924C22—24no—
1925C22—28no—
1926C22—24no—
1927C22—42no—
1928C22—44no—
1929C22—41no—
1930C22—42no—
1931C22—42no—
1932C22—44no—
1933C22—42no—
1934C22—41no—
1935C22—42no—
1936C22—42no—
1937C22—44no—
1938C22—42no—
1939C22—41no—
1940C22—42no—
1941C22—44no—
1942C22—41no—
1943C22—42no—
1944C22—41no—
1945C22—42no—
1946C22—41no—
1947C22—42no—
1948C22—42no—
1949C22—42no—
1950C22—41no—
1951C22—42no—
1952C22—41no—
1953C22—42no—
1954C22—42no—
1955C22—41no—
1956C22—42no—
1957C22—42no—
1958C22—42no—
1959C22—42no—
1960C22—41no—
1961C22—41no—
1962C22—42no—
1963C22—42no—
1964C22—816no—
1965C22—1616no—
1966C22C24×D411yescharacteristic
1967C22C23×#4111yescharacteristic
1968C22C22×H(5,𝔽2)11yescharacteristic
1969C22C2×#58511yescharacteristic
1970C22C2×#58511yescharacteristic
1971C22C2×#58511yescharacteristic
1972C22H(7,𝔽2)11yescharacteristic
1973C4—22no—
1974C4—22no—
1975C4—24no—
1976C4—24no—
1977C4—24no—
1978C4—24no—
1979C4—22no—
1980C4—24no—
1981C4—42no—
1982C4—44no—
1983C4—41no—
1984C4—41no—
1985C4—44no—
1986C4—42no—
1987C4—41no—
1988C4—42no—
1989C4—41no—
1990C4—41no—
1991C4—42no—
1992C4—44no—
1993C4—42no—
1994C4—41no—
1995C4—41no—
1996C4—42no—
1997C4—41no—
1998C4—42no—
1999C4D4×#4114yes—
2000C4#349614yes—
2001C2—44no—
2002C2—42no—
2003C2—44no—
2004C2—48no—
2005C2—81no—
2006C2—82no—
2007C2—82no—
2008C2C2×D4×#4111yescharacteristic
2009C2C2×#349611yescharacteristic
2010C2#6281611yescharacteristic
2011C2#6293711yescharacteristic
2012C2#6298611yescharacteristic
2013C2#6298711yescharacteristic
2014C2#6301811yescharacteristic
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×#3517C2semidirect
2. C2×#3519C2semidirect
3. #59770C2semidirect
4. #59412C2semidirect
5. #59412C2semidirect
6. #59407C2semidirect
7. #59121C2semidirect
8. #59039C2semidirect
9. #59035C2semidirect
10. #59003C2semidirect
11. #44895C2semidirect
12. #44881C2semidirect
13. #43926C2semidirect
14. #43042C2semidirect
15. #39888C2semidirect
16. #39884C2semidirect
17. #39392C2semidirect
18. #39372C2semidirect
19. #39127C2semidirect
20. #39126C2semidirect
21. #36562C2semidirect
22. #36468C2semidirect
23. #36415C2semidirect
24. #36411C2semidirect
25. #36218C2semidirect
26. #36149C2semidirect
27. #36107C2semidirect
28. #36100C2semidirect
29. #35823C2semidirect
30. #35763C2semidirect
31. #34934C2semidirect
32. #34743C2semidirect
33. #34309C2semidirect
34. C4×#550C2semidirect
35. C4×#546C2semidirect
38. C2×#557C22semidirect
43. C2×#553C22semidirect
44. C2×#553C22semidirect
46. C2×#550C22semidirect
47. C2×#550C22semidirect
48. C2×#550C22semidirect
49. C2×#547C22semidirect
50. C2×#547C22semidirect
55. C2×#546C22semidirect
59. C2×#540C22semidirect
60. C2×#540C22semidirect
63. C2×#532C22semidirect
64. C2×#532C22semidirect
66. C2×#529C22semidirect
67. C2×#529C22semidirect
69. C2×#525C22semidirect
71. C2×#520C22semidirect
73. C2×C4×#41C22semidirect
74. C2×C4×#41C22semidirect
76. #2862C22semidirect
77. #2859C22semidirect
78. #2857C22semidirect
79. #2857C22semidirect
80. #2854C22semidirect
81. #2854C22semidirect
82. #2850C22semidirect
83. #2848C22semidirect
84. #2725C22semidirect
85. #2724C22semidirect
86. #2724C22semidirect
87. #2709C22semidirect
88. #2708C22semidirect
89. #2707C22semidirect
90. #2702C22semidirect
91. #2701C22semidirect
92. #2699C22semidirect
93. #2697C22semidirect
94. #2688C22semidirect
95. #2686C22semidirect
96. #2682C22semidirect
97. #2682C22semidirect
98. #2681C22semidirect
99. #2678C22semidirect
100. #2678C22semidirect
101. #2678C22semidirect
102. #2678C22semidirect
103. #2673C22semidirect
104. #2668C22semidirect
105. #2630C22semidirect
106. #2630C22semidirect
107. #2629C22semidirect
108. #2629C22semidirect
109. #2602C22semidirect
110. #2602C22semidirect
111. #2579C22semidirect
112. #2567C22semidirect
114. #2565C22semidirect
115. #2563C22semidirect
116. #2562C22semidirect
117. #2562C22semidirect
118. #2559C22semidirect
119. #2559C22semidirect
120. #2557C22semidirect
121. #2557C22semidirect
122. #2556C22semidirect
123. #2556C22semidirect
124. #2554C22semidirect
125. #2554C22semidirect
126. #2552C22semidirect
127. #2548C22semidirect
128. #2547C22semidirect
129. #2545C22semidirect
130. #2543C22semidirect
133. #2538C22semidirect
134. #2538C22semidirect
135. #2538C22semidirect
138. #2537C22semidirect
139. #2537C22semidirect
140. #2536C22semidirect
141. #2535C22semidirect
142. #2535C22semidirect
143. #2535C22semidirect
144. #2535C22semidirect
145. #2534C22semidirect
146. #2534C22semidirect
147. #2512C22semidirect
148. #2499C22semidirect
149. #2496C22semidirect
151. #2490C22semidirect
152. #2485C22semidirect
153. #2480C22semidirect
154. #2478C22semidirect
155. #2476C22semidirect
156. #2474C22semidirect
157. #2468C22semidirect
158. #2466C22semidirect
159. #2464C22semidirect
160. #2461C22semidirect
161. #2456C22semidirect
162. #2455C22semidirect
163. #2453C22semidirect
164. #2447C22semidirect
165. #2447C22semidirect
166. #2445C22semidirect
167. #2445C22semidirect
168. #2444C22semidirect
169. #2442C22semidirect
170. #2435C22semidirect
171. #2433C22semidirect
172. #2433C22semidirect
173. #2431C22semidirect
174. #2430C22semidirect
175. #2429C22semidirect
176. #2429C22semidirect
177. #2429C22semidirect
178. #2428C22semidirect
179. #2428C22semidirect
180. #2428C22semidirect
181. #2428C22semidirect
182. #2427C22semidirect
183. #2427C22semidirect
184. #2427C22semidirect
186. #2426C22semidirect
187. #2426C22semidirect
188. #2426C22semidirect
189. #2425C22semidirect
190. #2425C22semidirect
191. #2425C22semidirect
192. #2425C22semidirect
193. #2425C22semidirect
194. #2424C22semidirect
195. #2424C22semidirect
196. #2424C22semidirect
197. #2424C22semidirect
198. #2424C22semidirect
199. #2422C22semidirect
200. #2422C22semidirect
201. #2422C22semidirect
202. #2422C22semidirect
203. #2422C22semidirect
204. #2422C22semidirect
205. #2420C22semidirect
206. #2420C22semidirect
207. #2420C22semidirect
208. #2419C22semidirect
209. #2418C22semidirect
210. #2418C22semidirect
211. #2416C22semidirect
212. #2415C22semidirect
213. #2414C22semidirect
214. #2413C22semidirect
215. #2411C22semidirect
216. #2410C22semidirect
220. #2407C22semidirect
221. #2407C22semidirect
222. #2407C22semidirect
223. #2407C22semidirect
224. #2407C22semidirect
225. #2407C22semidirect
226. #2407C22semidirect
227. #2405C22semidirect
228. #2392C22semidirect
229. #2392C22semidirect
230. #2392C22semidirect
231. #2392C22semidirect
233. #2366C22semidirect
234. #2366C22semidirect
235. #2364C22semidirect
236. #2364C22semidirect
238. #2363C22semidirect
239. #2363C22semidirect
240. #2362C22semidirect
242. #2360C22semidirect
243. #2360C22semidirect
244. #2360C22semidirect
245. #2359C22semidirect
246. #2359C22semidirect
247. #2358C22semidirect
248. #2358C22semidirect
249. #2354C22semidirect
250. #2354C22semidirect
251. #2354C22semidirect
252. #2352C22semidirect
253. #2352C22semidirect
254. #2352C22semidirect
255. Q8×C4⋊C4C22semidirect
256. #2349C22semidirect
257. #2349C22semidirect
258. #2349C22semidirect
259. D4×C4⋊C4C22semidirect
260. #2342C22semidirect
261. #2342C22semidirect
262. #2341C22semidirect
263. #2339C22semidirect
264. #2339C22semidirect
265. #2339C22semidirect
266. #2339C22semidirect
269. D4×C22⋊C4C22semidirect
270. D4×C22⋊C4C22semidirect
272. #2323C22semidirect
273. #2322C22semidirect
274. #2321C22semidirect
275. C4×#127C22semidirect
276. C4×#127C22semidirect
277. C4×#127C22semidirect
278. C4×#127C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×#123C22semidirect
284. C4×#121C22semidirect
285. C4×#121C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. C4×#120C22semidirect
292. #2297C22semidirect
293. #2296C22semidirect
294. #2293C22semidirect
295. C2×#388C22semidirect
296. C42×Q8C22semidirect
297. C42×D4C22semidirect
298. C42×D4C22semidirect
299. C42×D4C22semidirect
300. C2×C4×C22⋊C4C22semidirect
322. #550D4semidirect
966. #124#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35172
C2×#35192
#597702
#594122
#594072
#591212
#590392
#590352
#590032
#448952
#448812
#439262
#430422
#398882
#398842
#393922
#393722
#391272
#391262
#365622
#364682
#364152
#364112
#362182
#361492
#361072
#361002
#358232
#357632
#349342
#347432
#343092
C4×#5502
C4×#5462