Finite Group Databasebeta

← #7880565

Subgroups — #7880565

Order 512.

7727 conjugacy classes of subgroups.

The subgroup lattice has 2029 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3517C211yesmaximal, characteristic, complemented
2C2×#3546C211yesmaximal, characteristic, complemented
3#59653C211yesmaximal, characteristic, complemented
4#59129C212yesmaximal, complemented
5#59078C211yesmaximal, characteristic, complemented
6#59049C211yesmaximal, characteristic, complemented
7#59046C212yesmaximal, complemented
8#50681C214yesmaximal, complemented
9#49582C214yesmaximal, complemented
10#46378C214yesmaximal, complemented
11#45002C212yesmaximal, complemented
12#44987C212yesmaximal, complemented
13#44892C212yesmaximal, complemented
14#44886C212yesmaximal, complemented
15#43033C214yesmaximal, complemented
16#42969C212yesmaximal, complemented
17#42433C212yesmaximal, complemented
18#39865C212yesmaximal, complemented
19#39742C212yesmaximal, complemented
20#39434C212yesmaximal, complemented
21#39361C211yesmaximal, characteristic, complemented
22#39341C211yesmaximal, characteristic, complemented
23#38909C211yesmaximal, characteristic, complemented
24#38909C211yesmaximal, characteristic, complemented
25#37797C212yesmaximal, complemented
26#36258C211yesmaximal, characteristic, complemented
27#36128C211yesmaximal, characteristic, complemented
28#36128C211yesmaximal, characteristic, complemented
29#36029C212yesmaximal, complemented
30#35793C212yesmaximal, complemented
31#35564C212yesmaximal, complemented
32#35533C212yesmaximal, complemented
33#34889C211yesmaximal, characteristic, complemented
34#34724C211yesmaximal, characteristic, complemented
35#34308C211yesmaximal, characteristic, complemented
36#3546—216no—
37C2×#560C2214yes—
38#3517—216no—
39C2×#557C2211yescharacteristic, complemented
40C2×#556C2211yescharacteristic
41C2×#553C2212yes—
42C2×#553C2214yescomplemented
43C2×#553C2212yescomplemented
44C2×#550C2211yescharacteristic
45C2×#550C2212yes—
46C2×#550C2212yes—
47C2×#550C2211yescharacteristic
48C2×#550C2211yescharacteristic, complemented
49C2×#550C2212yescomplemented
50C2×#550C2212yescomplemented
51C2×#547C2211yescharacteristic
52C2×#547C2212yescomplemented
53C2×#546C2212yes—
54C2×#546C2212yes—
55C2×#546C2212yes—
56C2×D42C2211yescharacteristic
57C2×#542C2212yes—
58C2×#540C2212yes—
59C2×#540C2214yescomplemented
60C2×#538C2214yes—
61C2×#537C2212yes—
62C2×#537C2212yescomplemented
63C2×#535C2212yes—
64C2×#535C2212yes—
65C2×#535C2212yes—
66C2×#532C2211yescharacteristic
67C2×#532C2211yescharacteristic
68C2×#532C2211yescharacteristic, complemented
69C2×#532C2212yescomplemented
70C2×#532C2212yescomplemented
71C2×#529C2211yescharacteristic
72C2×#529C2211yescharacteristic, complemented
73C2×#529C2212yescomplemented
74C2×#520C2212yescomplemented
75C2×#520C2212yescomplemented
76C2×C4×#41C2211yescharacteristic
77#2867C2211yescharacteristic
78#2856C2211yescharacteristic
79#2856C2212yescomplemented
80#2856C2211yescharacteristic, complemented
81#2854C2212yes—
82#2815C2214yescomplemented
83#2727C2214yescomplemented
84#2725C2214yescomplemented
85#2723C2214yescomplemented
86#2714C2214yescomplemented
87#2714C2214yescomplemented
88#2711C2214yescomplemented
89#2710C2214yescomplemented
90#2706C2214yescomplemented
91#2705C2214yescomplemented
92#2705C2214yescomplemented
93#2696C2214yescomplemented
94#2693C2214yescomplemented
95#2691C2214yescomplemented
96#2691C2214yescomplemented
97#2688C2214yescomplemented
98#2682C2214yescomplemented
99#2678C2214yescomplemented
100#2676C2214yescomplemented
101#2676C2214yescomplemented
102#2675C2214yescomplemented
103#2673C2214yescomplemented
104#2673C2214yescomplemented
105#2673C2214yescomplemented
106#2671C2214yescomplemented
107#2671C2214yescomplemented
108#2671C2214yescomplemented
109#2669C2214yes—
110#2669C2214yes—
111#2669C2214yescomplemented
112#2669C2214yescomplemented
113#2669C2214yescomplemented
114#2668C2214yescomplemented
115#2668C2214yescomplemented
116#2656C2214yescomplemented
117#2635C2214yescomplemented
118#2635C2214yescomplemented
119#2624C2212yescomplemented
120#2624C2212yescomplemented
121#2619C2212yes—
122#2619C2214yescomplemented
123#2615C2212yescomplemented
124#2600C2214yescomplemented
125#2582C2211yescharacteristic, complemented
126#2559C2212yescomplemented
127#2557C2214yescomplemented
128#2557C2212yescomplemented
129#2550C2211yescharacteristic, complemented
130#2548C2211yescharacteristic
131#2548C2212yes—
132#2548C2211yescharacteristic
133#2548C2212yescomplemented
134#2548C2211yescharacteristic, complemented
135#2545C2212yes—
136#2545C2212yescomplemented
137#2544C2211yescharacteristic
138#2544C2212yes—
139#2544C2212yescomplemented
140#2543C2214yescomplemented
141#2543C2214yescomplemented
142#2541C2211yescharacteristic
143#2541C2212yes—
144#2541C2212yescomplemented
145#2541C2212yescomplemented
146#2541C2212yescomplemented
147#2541C2212yescomplemented
148#2541C2214yescomplemented
149#2540C2211yescharacteristic
150#2540C2212yescomplemented
151#2539C2214yescomplemented
152#2538C2211yescharacteristic
153#2535C2214yescomplemented
154#2535C2211yescharacteristic, complemented
155#2521C2212yescomplemented
156#2519C2214yescomplemented
157#2492C2211yescharacteristic, complemented
158#2490C2211yescharacteristic
159#2490C2212yescomplemented
160#2489C2212yescomplemented
161#2481C2214yescomplemented
162#2479C2214yescomplemented
163#2478C2212yescomplemented
164#2471C2214yescomplemented
165#2470C2212yescomplemented
166#2467C2214yescomplemented
167#2466C2212yescomplemented
168#2464C2212yescomplemented
169#2464C2214yescomplemented
170#2461C2214yescomplemented
171#2460C2214yescomplemented
172#2455C2212yescomplemented
173#2455C2214yescomplemented
174#2454C2212yescomplemented
175#2454C2212yescomplemented
176#2454C2212yescomplemented
177#2453C2211yescharacteristic, complemented
178#2452C2212yescomplemented
179#2448C2212yes—
180#2448C2212yescomplemented
181#2448C2212yescomplemented
182#2447C2211yescharacteristic
183#2446C2212yescomplemented
184#2443C2214yescomplemented
185#2441C2212yescomplemented
186#2441C2211yescharacteristic, complemented
187#2433C2212yes—
188#2433C2212yes—
189#2433C2212yes—
190#2432C2211yescharacteristic
191#2432C2212yescomplemented
192#2431C2212yes—
193#2431C2212yes—
194#2431C2212yescomplemented
195#2431C2212yescomplemented
196#2431C2212yescomplemented
197#2431C2212yescomplemented
198#2429C2212yescomplemented
199#2429C2211yescharacteristic, complemented
200#2428C2212yes—
201#2428C2212yes—
202#2428C2211yescharacteristic
203#2428C2212yes—
204#2428C2212yes—
205#2428C2212yescomplemented
206#2428C2214yescomplemented
207#2428C2214yescomplemented
208#2428C2212yescomplemented
209#2428C2214yescomplemented
210#2428C2212yescomplemented
211#2428C2212yescomplemented
212#2428C2214yescomplemented
213#2428C2212yescomplemented
214#2428C2212yescomplemented
215#2427C2211yescharacteristic, complemented
216#2427C2212yescomplemented
217#2427C2212yescomplemented
218#2427C2212yescomplemented
219#2426C2212yes—
220#2426C2212yescomplemented
221#2424C2214yes—
222#2424C2214yescomplemented
223#2424C2214yescomplemented
224#2424C2214yescomplemented
225#2424C2214yescomplemented
226#2424C2214yescomplemented
227#2424C2214yescomplemented
228#2422C2211yescharacteristic
229#2418C2214yescomplemented
230#2417C2214yescomplemented
231#2416C2212yes—
232#2416C2214yescomplemented
233#2416C2214yescomplemented
234#2416C2212yescomplemented
235#2416C2212yescomplemented
236#2416C2214yescomplemented
237#2416C2214yescomplemented
238#2416C2212yescomplemented
239#2416C2214yescomplemented
240#2415C2214yescomplemented
241#2415C2211yescharacteristic, complemented
242#2414C2212yes—
243#2414C2214yescomplemented
244#2414C2212yescomplemented
245#2414C2214yescomplemented
246#2414C2214yescomplemented
247#2412C2214yescomplemented
248#2411C2214yes—
249#2408C2212yes—
250#2407C2211yescharacteristic
251#2407C2212yescomplemented
252#2407C2212yescomplemented
253#2407C2212yescomplemented
254#2395C2212yescomplemented
255#2395C2212yescomplemented
256#2392C2214yescomplemented
257#2392C2212yescomplemented
258#2388C2212yescomplemented
259#2367C2212yescomplemented
260#2366C2212yescomplemented
261#2366C2212yescomplemented
262#2366C2212yescomplemented
263#2366C2212yescomplemented
264#2365C2211yescharacteristic, complemented
265#2363C2212yescomplemented
266#2362C2212yescomplemented
267#2361C2212yes—
268#2360C2212yescomplemented
269#2359C2214yescomplemented
270#2358C2214yescomplemented
271#2351C2212yescomplemented
272D4×C4⋊C4C2211yescharacteristic
273D4×C4⋊C4C2211yescharacteristic, complemented
274#2344C2212yescomplemented
275#2341C2212yescomplemented
276#2341C2212yescomplemented
277#2339C2212yescomplemented
278D4×C22⋊C4C2212yes—
279#2325C2214yescomplemented
280#2323C2212yescomplemented
281#2322C2214yescomplemented
282#2311C2212yescomplemented
283#2311C2212yescomplemented
284C4×C4⋊Q8C2211yescharacteristic, complemented
285C4×C4⋊Q8C2211yescharacteristic, complemented
286C4×#124C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic, complemented
288C4×C22⋊Q8C2211yescharacteristic, complemented
289C4×C22⋊Q8C2211yescharacteristic, complemented
290C4×#123C2212yescomplemented
291C4×#121C2212yes—
292C4×#121C2211yescharacteristic
293C4×#121C2212yescomplemented
294#2297C2212yescomplemented
295#2296C2212yescomplemented
296#2293C2211yescharacteristic
297C2×#390C2212yes—
298C2×#389C2212yescomplemented
299C42×D4C2211yescharacteristic, complemented
300C42×D4C2211yescharacteristic, complemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2312yes—
305C22×#41C2312yes—
306C22×#41C2312yes—
307C22×#41C2312yes—
308C22×#41C2312yes—
309C23×D4C2312yes—
310C23×D4C2312yes—
311#560—232no—
312#557—28no—
313#556—28no—
314#553—232no—
315#553—216no—
316#553—216no—
317#550—216no—
318#550—216no—
319#550—216no—
320#550—28no—
321#550—28no—
322#550—28no—
323#550—48no—
324#547—216no—
325#547D4116yescomplemented
326#546—216no—
327#546—216no—
328#546—48no—
329D42—28no—
330#542—216no—
331#540—232no—
332#540—216no—
333#538—232no—
334#537—216no—
335#537—48no—
336#535—216no—
337#535—216no—
338#535—48no—
339#532—216no—
340#532—28no—
341#532—28no—
342#532—28no—
343#532—48no—
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2311yescharacteristic
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2311yescharacteristic
348C2×#127C2311yescharacteristic
349C2×#127C2311yescharacteristic
350C2×#127C2312yes—
351C2×#127C2314yes—
352C2×#127C2314yes—
353C2×#127C2311yescharacteristic
354C2×#127C2312yes—
355C2×#127C2312yes—
356C2×#127C2312yes—
357C2×#127C2312yes—
358C2×#127C2312yes—
359C2×#127C2312yes—
360C2×#127C2312yes—
361C2×#127C2314yes—
362C2×#127C2312yes—
363C2×#127C2312yes—
364#529—216no—
365#529—28no—
366#529—28no—
367C2×#126C2312yes—
368C2×#126C2312yes—
369C2×#126C2314yes—
370C2×#126C2314yes—
371C2×#126C2314yes—
372C2×#125C2311yescharacteristic
373C2×#125C2311yescharacteristic
374C2×#125C2312yes—
375C2×#125C2314yes—
376C2×#124C2312yes—
377C2×#124C2311yescharacteristic
378C2×#124C2311yescharacteristic
379C2×#124C2312yes—
380C2×#124C2312yes—
381C2×#124C2312yes—
382C2×#124C2314yes—
383C2×#124C2311yescharacteristic
384C2×#124C2312yes—
385C2×#124C2312yes—
386C2×#124C2312yes—
387C2×#123C2314yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2314yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×#123C2314yes—
394C2×#123C2314yes—
395C2×#123C2312yes—
396C2×#123C2314yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2311yescharacteristic
399C2×C22⋊Q8C2311yescharacteristic
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2312yes—
407C2×#121C2312yes—
408C2×#121C2312yes—
409C2×#121C2312yes—
410C2×#121C2312yes—
411C2×#121C2314yes—
412C2×#121C2314yes—
413C2×#121C2314yes—
414C2×#121C2311yescharacteristic
415C2×#121C2314yes—
416C2×#121C2314yes—
417C2×#121C2314yes—
418C2×#121C2312yes—
419C2×#121C2314yes—
420C2×#121C2314yes—
421C2×#121C2312yes—
422C2×#121C2314yes—
423C2×#121C2314yes—
424C2×#121C2314yes—
425C2×#121C2311yescharacteristic
426C2×#121C2314yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2311yescharacteristic
430C2×#121C2311yescharacteristic
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2314yes—
434C2×#121C2314yes—
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2311yescharacteristic
442C2×#121C2314yes—
443C2×#121C2314yes—
444C2×#121C2314yes—
445C2×#121C2314yes—
446C2×#121C2314yes—
447C2×#121C2312yes—
448C2×#121C2314yes—
449C2×#121C2314yes—
450C2×#121C2314yes—
451C2×#121C2314yes—
452C2×#121C2314yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2314yes—
456C2×#121C2314yes—
457C2×#121C2314yes—
458C2×#121C2314yes—
459C2×#121C2312yes—
460C2×#120C2314yes—
461C2×#120C2314yes—
462C2×#120C2314yes—
463C2×#120C2314yes—
464C2×#120C2314yes—
465C2×#120C2314yes—
466C2×#120C2314yes—
467C2×#120C2314yes—
468C2×#120C2314yes—
469#520—216no—
470#520—48no—
471C4×#41—28no—
472C2×C4×Q8C2312yes—
473C2×C4×Q8C2311yescharacteristic
474C2×C4×Q8C2311yescharacteristic
475C2×C4×Q8C2311yescharacteristic
476C2×C4×Q8C2312yes—
477C2×C4×Q8C2312yes—
478C2×C4×Q8C2312yes—
479C2×C4×Q8C2311yescharacteristic
480C2×C4×Q8C2312yes—
481C2×C4×D4C2314yes—
482C2×C4×D4C2314yes—
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2314yes—
485C2×C4×D4C2314yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2314yes—
493C2×C4×D4C2312yes—
494C2×C4×D4C2311yescharacteristic
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2312yes—
499C2×C4×D4C2311yescharacteristic
500C2×C4×D4C2312yes—
501C2×C4×D4C2311yescharacteristic
502C2×C4×D4C2314yes—
503C2×C4×D4C2312yes—
504C2×C4×D4C2311yescharacteristic
505C2×C4×D4C2312yes—
506C2×C4×D4C2314yes—
507C2×C4×D4C2314yes—
508C2×C4×D4C2314yes—
509C2×C4×D4C2314yes—
510C2×C4×D4C2311yescharacteristic
511C2×C4×D4C2312yes—
512C2×C4×D4C2311yescharacteristic
513C2×C4×D4C2311yescharacteristic
514C2×C4×D4C2311yescharacteristic
515C2×#117C2312yes—
516C2×#117C2312yes—
517C2×#117C2312yes—
518C2×#117C2312yes—
519C2×#117C2312yes—
520C2×#117C2311yescharacteristic
521C2×#117C2314yes—
522C2×#117C2314yes—
523C22×C4⋊C4C2314yes—
524C22×C4⋊C4C2312yes—
525C22×C4⋊C4C2312yes—
526C22×C4⋊C4C2314yes—
527C22×C4⋊C4C2312yes—
528C22×C22⋊C4C2314yes—
529C22×C22⋊C4C2314yes—
530C22×C22⋊C4C2314yes—
531C22×C42C2312yes—
532C22×C42C2311yescharacteristic
533C22×C42C2311yescharacteristic
534C22×C42C2312yes—
535#400C2312yes—
536#400C2314yes—
537#400C2312yes—
538#399C2314yes—
539#399C2314yes—
540#399C2314yes—
541#399C2312yes—
542#399C2312yes—
543#399C2314yes—
544#399C2314yes—
545#398C2314yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2314yes—
550#397C2312yes—
551#397C2314yes—
552#397C2314yes—
553#397C2312yes—
554#397C2312yes—
555#397C2312yes—
556#397C2312yes—
557#397C2312yes—
558#397C2312yes—
559#397C2314yes—
560#397C2314yes—
561#397C2314yes—
562#396C2314yes—
563#396C2312yes—
564#396C2312yes—
565#396C2314yes—
566#396C2314yes—
567#396C2314yes—
568#396C2314yes—
569#396C2314yes—
570#396C2314yes—
571#396C2314yes—
572#396C2314yes—
573#395C2312yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2312yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2312yes—
585#394C2312yes—
586#394C2314yes—
587#394C2314yes—
588#394C2314yes—
589#394C2312yes—
590#394C2312yes—
591#394C2312yes—
592#394C2312yes—
593#394C2312yes—
594#394C2312yes—
595#394C2312yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#393C2314yes—
608#393C2312yes—
609#392C2314yes—
610#392C2314yes—
611#392C2314yes—
612#392C2314yes—
613#392C2314yes—
614#392C2314yes—
615#392C2312yes—
616#392C2314yes—
617#392C2314yes—
618#392C2314yes—
619#392C2314yes—
620#392C2314yes—
621#392C2314yes—
622#392C2312yes—
623#392C2312yes—
624#392C2312yes—
625#392C2314yes—
626#392C2314yes—
627#392C2314yes—
628#392C2314yes—
629#392C2314yes—
630#392C2314yes—
631#392C2314yes—
632#392C2314yes—
633#392C2314yes—
634#392C2314yes—
635#392C2314yes—
636#392C2314yes—
637#391C2312yes—
638#391C2311yescharacteristic
639#391C2311yescharacteristic
640#391C2311yescharacteristic
641#391C2311yescharacteristic
642#391C2312yes—
643#391C2312yes—
644#391C2312yes—
645#391C2311yescharacteristic
646#391C2312yes—
647#391C2312yes—
648#391C2311yescharacteristic
649#390C2312yes—
650#390C2312yes—
651#390C2312yes—
652#390C2312yes—
653#390C2312yes—
654#390C2312yes—
655#390C2312yes—
656#390C2314yes—
657#390C2314yes—
658#390C2312yes—
659#390C2314yes—
660#390C2314yes—
661#390C2312yes—
662#390C2312yes—
663#390C2312yes—
664#390C2312yes—
665#390C2312yes—
666#390C2312yes—
667#390C2314yes—
668#390C2314yes—
669#390C2314yes—
670#390C2311yescharacteristic
671#390C2314yes—
672#390C2312yes—
673#390C2314yes—
674#390C2314yes—
675#390C2312yes—
676#390C2312yes—
677#390C2314yes—
678#390C2314yes—
679#390C2312yes—
680#390C2312yes—
681#390C2311yescharacteristic
682#390C2312yes—
683#390C2311yescharacteristic
684#390C2311yescharacteristic
685#389C2312yes—
686#389C2312yes—
687#389C2312yes—
688#389C2312yes—
689#389C2314yes—
690#389C2312yes—
691#389C2312yes—
692#389C2312yes—
693#389C2311yescharacteristic
694#389C2312yes—
695#389C2311yescharacteristic
696#389C2312yes—
697#389C2314yes—
698#389C2314yes—
699#389C2314yes—
700#389C2312yes—
701#389C2311yescharacteristic
702#389C2311yescharacteristic
703#389C2312yes—
704#389C2312yes—
705#389C2312yes—
706#389C2311yescharacteristic
707#389C2312yes—
708#389C2311yescharacteristic
709#389C2312yes—
710#388C2312yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2312yes—
718#388C2314yes—
719#388C2312yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2312yes—
725#388C2312yes—
726#388C2312yes—
727#388C2312yes—
728#388C2314yes—
729#388C2312yes—
730#388C2314yes—
731#388C2314yes—
732#388C2312yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2312yes—
737#387C2314yes—
738#387C2312yes—
739#387C2314yes—
740#387C2312yes—
741#387C2312yes—
742#387C2312yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2312yes—
768#386C2314yes—
769#386C2312yes—
770#386C2314yes—
771#386C2312yes—
772#386C2312yes—
773#386C2312yes—
774#386C2312yes—
775#386C2312yes—
776#386C2312yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2312yes—
784#385C2314yes—
785#385C2312yes—
786#385C2314yes—
787#385C2312yes—
788#385C2312yes—
789#385C2312yes—
790#385C2312yes—
791#385C2312yes—
792#385C2312yes—
793#384C2311yescharacteristic
794#384C2311yescharacteristic
795#382C2311yescharacteristic
796#382C2314yes—
797#381C2314yes—
798#381C2312yes—
799#380C2314yes—
800#380C2314yes—
801#380C2314yes—
802#380C2314yes—
803#380C2312yes—
804#380C2312yes—
805#380C2312yes—
806#380C2311yescharacteristic
807#380C2311yescharacteristic
808#380C2314yes—
809#380C2314yes—
810#380C2312yes—
811#380C2311yescharacteristic
812#380C2311yescharacteristic
813#379C2314yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2314yes—
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2311yescharacteristic
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2311yescharacteristic
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2311yescharacteristic
847C4×C22⋊C4C2311yescharacteristic
848C4×C22⋊C4C2311yescharacteristic
849C2×#95C2314yes—
850C43C2311yescharacteristic
851C25C2414yes—
852C2×#41—28no—
853C2×#41—28no—
854C2×#41—28no—
855C2×#41—24no—
856C2×#41—24no—
857C2×#41—28no—
858C2×#41—28no—
859C2×#41—28no—
860C2×#41—28no—
861C2×#41—44no—
862C2×#41—44no—
863C2×#41—44no—
864C2×#41—44no—
865C2×#41—44no—
866C2×#41—42no—
867C2×#41—44no—
868C2×#41—44no—
869C2×#41—44no—
870C2×#41—44no—
871C2×#41—44no—
872C2×#41—44no—
873C2×#41—44no—
874C2×#41—44no—
875C2×#41C2×D4116yes—
876C22×Q8C2411yescharacteristic
877C22×Q8C2411yescharacteristic
878C22×Q8C2412yes—
879C22×Q8C2411yescharacteristic
880C22×Q8C2412yes—
881C22×D4—28no—
882C22×D4—28no—
883C22×D4—44no—
884C22×D4—44no—
885C22×D4—44no—
886C22×D4—44no—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2411yescharacteristic
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2414yes—
894C22×D4C2411yescharacteristic
895C22×D4C2411yescharacteristic
896C22×D4C2411yescharacteristic
897C22×D4C2412yes—
898C22×D4C2414yes—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C22×D4C2414yes—
905C22×D4C2414yes—
906C22×D4C2412yes—
907C22×D4C2412yes—
908C22×D4C2412yes—
909C22×D4C2414yes—
910C22×D4C2412yes—
911C22×D4C2414yes—
912C22×D4C2414yes—
913C22×D4C2414yes—
914C22×D4C2414yes—
915C22×D4C2412yes—
916C22×D4C2414yes—
917C22×D4C2412yes—
918C22×D4C2414yes—
919C22×D4C2414yes—
920C22×D4C2414yes—
921C22×D4C2414yes—
922C22×D4C2414yes—
923C22×D4C2414yes—
924C23×C4C2411yescharacteristic
925C23×C4C2412yes—
926C23×C4C2411yescharacteristic
927C23×C4C2411yescharacteristic
928C23×C4C2411yescharacteristic
929C23×C4C2412yes—
930C23×C4C2414yes—
931C23×C4C2412yes—
932C23×C4C2412yes—
933C23×C4C2412yes—
934C23×C4C2414yes—
935C23×C4C2414yes—
936C23×C4C2412yes—
937C23×C4C2414yes—
938C23×C4C2414yes—
939C23×C4C2411yescharacteristic
940C23×C4C2411yescharacteristic
941C23×C4C2412yes—
942C23×C4C2414yes—
943C23×C4C2414yes—
944C23×C4C2414yes—
945C4⋊Q8—28no—
946C4⋊Q8—24no—
947C4⋊Q8—24no—
948C4⋊Q8C2×D418yes—
949#127—24no—
950#127—28no—
951#127—28no—
952#127—216no—
953#127—216no—
954#127—28no—
955#127—24no—
956#127—24no—
957#127—28no—
958#127—44no—
959#127—44no—
960#127—44no—
961#127—44no—
962#127—44no—
963#127—48no—
964#127—82no—
965#126—216no—
966#126—216no—
967#126—216no—
968#126—28no—
969#126—28no—
970#125—24no—
971#125—24no—
972#125—216no—
973#125—28no—
974#124—28no—
975#124—28no—
976#124—28no—
977#124—28no—
978#124—24no—
979#124—24no—
980#124—28no—
981#124—216no—
982#124—24no—
983#124—44no—
984#124—44no—
985#123—216no—
986#123—216no—
987#123—28no—
988#123—216no—
989#123—28no—
990#123—216no—
991#123—216no—
992#123—44no—
993#123—48no—
994#123C2×D4132yes—
995C22⋊Q8—24no—
996C22⋊Q8—28no—
997C22⋊Q8—24no—
998C22⋊Q8—24no—
999C22⋊Q8—216no—
1000C22⋊Q8—28no—
1001C22⋊Q8—48no—
1002C22⋊Q8—42no—
1003C22⋊Q8—42no—
1004C22⋊Q8C2×D4116yes—
1005#121—24no—
1006#121—24no—
1007#121—216no—
1008#121—24no—
1009#121—216no—
1010#121—216no—
1011#121—216no—
1012#121—28no—
1013#121—216no—
1014#121—28no—
1015#121—216no—
1016#121—216no—
1017#121—216no—
1018#121—28no—
1019#121—28no—
1020#121—28no—
1021#121—28no—
1022#121—24no—
1023#121—28no—
1024#121—28no—
1025#121—28no—
1026#121—216no—
1027#121—28no—
1028#121—216no—
1029#121—216no—
1030#121—216no—
1031#121—216no—
1032#121—44no—
1033#121—48no—
1034#121—48no—
1035#121—48no—
1036#121—48no—
1037#121—48no—
1038#121—48no—
1039#121—48no—
1040#121—48no—
1041#121—48no—
1042#121—48no—
1043#121—42no—
1044#121—44no—
1045#121—48no—
1046#121—44no—
1047#121—44no—
1048#121—44no—
1049#121—44no—
1050#121—44no—
1051#121—82no—
1052#121—84no—
1053#121—84no—
1054#121—84no—
1055#121—82no—
1056#121—84no—
1057#121C2×D4116yes—
1058#120—216no—
1059#120—216no—
1060#120—216no—
1061#120—216no—
1062#120—48no—
1063#120—48no—
1064#120—48no—
1065#120—48no—
1066#120—84no—
1067C4×Q8—28no—
1068C4×Q8—28no—
1069C4×Q8—24no—
1070C4×Q8—28no—
1071C4×Q8—24no—
1072C4×Q8—24no—
1073C4×Q8—24no—
1074C4×Q8—28no—
1075C4×Q8—44no—
1076C4×D4—24no—
1077C4×D4—28no—
1078C4×D4—216no—
1079C4×D4—216no—
1080C4×D4—28no—
1081C4×D4—28no—
1082C4×D4—28no—
1083C4×D4—216no—
1084C4×D4—216no—
1085C4×D4—28no—
1086C4×D4—28no—
1087C4×D4—28no—
1088C4×D4—28no—
1089C4×D4—28no—
1090C4×D4—28no—
1091C4×D4—28no—
1092C4×D4—28no—
1093C4×D4—216no—
1094C4×D4—24no—
1095C4×D4—24no—
1096C4×D4—24no—
1097C4×D4—42no—
1098C4×D4—48no—
1099C4×D4—42no—
1100C4×D4—44no—
1101C4×D4—44no—
1102C4×D4—48no—
1103C4×D4—42no—
1104C4×D4—44no—
1105C4×D4—48no—
1106C4×D4—48no—
1107C4×D4—48no—
1108C4×D4C2×D418yes—
1109C4×D4C2×D418yes—
1110#117—28no—
1111#117—28no—
1112#117—24no—
1113#117—216no—
1114#117—28no—
1115#117—28no—
1116#117—28no—
1117#117—48no—
1118C2×C4⋊C4—216no—
1119C2×C4⋊C4—48no—
1120C2×C4⋊C4—44no—
1121C2×C4⋊C4—44no—
1122C2×C4⋊C4C2×D4116yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2411yescharacteristic
1145C2×C4⋊C4C2411yescharacteristic
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2411yescharacteristic
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2411yescharacteristic
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2411yescharacteristic
1162C2×C4⋊C4C2411yescharacteristic
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2414yes—
1167C2×C4⋊C4C2412yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2412yes—
1171C2×C4⋊C4C2411yescharacteristic
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2412yes—
1174C2×C4⋊C4C2411yescharacteristic
1175C2×C4⋊C4C2412yes—
1176C2×C22⋊C4—216no—
1177C2×C22⋊C4—48no—
1178C2×C22⋊C4—84no—
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⋊C4C2412yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2411yescharacteristic
1207C2×C22⋊C4C2411yescharacteristic
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2411yescharacteristic
1211C2×C22⋊C4C2411yescharacteristic
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2411yescharacteristic
1232C2×C22⋊C4C2411yescharacteristic
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2412yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2412yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2412yes—
1251C2×C22⋊C4C2412yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2412yes—
1254C2×C22⋊C4C2412yes—
1255C2×C42—28no—
1256C2×C42—24no—
1257C2×C42—24no—
1258C2×C42—44no—
1259C2×C42C2411yescharacteristic
1260C2×C42C2412yes—
1261C2×C42C2411yescharacteristic
1262C2×C42C2412yes—
1263C2×C42C2411yescharacteristic
1264C2×C42C2412yes—
1265C2×C42C2412yes—
1266C2×C42C2414yes—
1267C2×C42C2414yes—
1268C2×C42C2414yes—
1269C2×C42C2412yes—
1270C2×C42C2411yescharacteristic
1271C2×C42C2412yes—
1272C2×C42C2411yescharacteristic
1273C2×C42C2412yes—
1274C2×C42C2411yescharacteristic
1275C2×C42C2411yescharacteristic
1276C2×C42C2411yescharacteristic
1277C2×C42C2411yescharacteristic
1278C2×C42C2411yescharacteristic
1279C2×C42C2414yes—
1280C2×C42C2412yes—
1281C2×C42C2412yes—
1282C2×C42C2411yescharacteristic
1283C2×C42C2411yescharacteristic
1284C2×C42C2411yescharacteristic
1285#95C2412yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2411yescharacteristic
1294#95C2411yescharacteristic
1295#95C2412yes—
1296#95C2412yes—
1297#95C2411yescharacteristic
1298#95C2411yescharacteristic
1299#95C2411yescharacteristic
1300#95C2412yes—
1301#95C2411yescharacteristic
1302#95C2412yes—
1303#95C2412yes—
1304#95C2412yes—
1305#95C2412yes—
1306#95C2414yes—
1307#95C2412yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2412yes—
1312#95C2412yes—
1313#95C2412yes—
1314#95C2412yes—
1315#95C2412yes—
1316#95C2412yes—
1317#95C2412yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2412yes—
1321#95C2412yes—
1322#95C2412yes—
1323#95C2412yes—
1324#95C2412yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329C24—28no—
1330C24—44no—
1331C24—44no—
1332C24—44no—
1333C24—44no—
1334C24—44no—
1335C24—44no—
1336C24C2512yes—
1337C24C2514yes—
1338C24C2511yescharacteristic
1339C24C2514yes—
1340C24C2511yescharacteristic
1341C24C2512yes—
1342C24C2512yes—
1343#41—432no—
1344#41—432no—
1345#41—416no—
1346#41—816no—
1347#41—816no—
1348#41—816no—
1349#41—816no—
1350#41—816no—
1351C2×Q8—22no—
1352C2×Q8—22no—
1353C2×Q8—22no—
1354C2×Q8—24no—
1355C2×Q8—24no—
1356C2×Q8—22no—
1357C2×Q8—22no—
1358C2×Q8—22no—
1359C2×Q8—24no—
1360C2×Q8—22no—
1361C2×Q8—22no—
1362C2×Q8—42no—
1363C2×Q8—42no—
1364C2×Q8C22×D418yes—
1365C2×Q8H(5,𝔽2)14yes—
1366C2×D4—24no—
1367C2×D4—28no—
1368C2×D4—24no—
1369C2×D4—24no—
1370C2×D4—28no—
1371C2×D4—28no—
1372C2×D4—28no—
1373C2×D4—24no—
1374C2×D4—24no—
1375C2×D4—28no—
1376C2×D4—28no—
1377C2×D4—28no—
1378C2×D4—24no—
1379C2×D4—24no—
1380C2×D4—24no—
1381C2×D4—22no—
1382C2×D4—24no—
1383C2×D4—24no—
1384C2×D4—24no—
1385C2×D4—24no—
1386C2×D4—24no—
1387C2×D4—28no—
1388C2×D4—28no—
1389C2×D4—28no—
1390C2×D4—22no—
1391C2×D4—22no—
1392C2×D4—22no—
1393C2×D4—24no—
1394C2×D4—28no—
1395C2×D4—24no—
1396C2×D4—24no—
1397C2×D4—24no—
1398C2×D4—24no—
1399C2×D4—22no—
1400C2×D4—28no—
1401C2×D4—28no—
1402C2×D4—22no—
1403C2×D4—22no—
1404C2×D4—24no—
1405C2×D4—22no—
1406C2×D4—24no—
1407C2×D4—24no—
1408C2×D4—24no—
1409C2×D4—28no—
1410C2×D4—44no—
1411C2×D4—41no—
1412C2×D4—41no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—42no—
1416C2×D4—42no—
1417C2×D4—44no—
1418C2×D4—44no—
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—44no—
1428C2×D4—44no—
1429C2×D4—44no—
1430C2×D4—42no—
1431C2×D4—42no—
1432C2×D4—42no—
1433C2×D4—42no—
1434C2×D4—44no—
1435C2×D4—44no—
1436C2×D4—42no—
1437C2×D4—44no—
1438C2×D4—42no—
1439C2×D4—42no—
1440C2×D4—44no—
1441C2×D4—42no—
1442C2×D4—44no—
1443C2×D4—42no—
1444C2×D4—42no—
1445C2×D4—44no—
1446C2×D4—44no—
1447C2×D4—42no—
1448C2×D4—42no—
1449C2×D4—44no—
1450C2×D4—44no—
1451C2×D4—44no—
1452C2×D4—42no—
1453C2×D4—44no—
1454C2×D4—44no—
1455C2×D4—42no—
1456C2×D4—42no—
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—44no—
1466C2×D4—44no—
1467C2×D4—44no—
1468C2×D4—44no—
1469C2×D4—44no—
1470C2×D4—44no—
1471C2×D4—44no—
1472C2×D4—44no—
1473C2×D4—44no—
1474C2×D4—816no—
1475C2×D4—816no—
1476C2×D4C22×D414yes—
1477C2×D4C22×D414yes—
1478C2×D4C22×D4116yes—
1479C22×C4—24no—
1480C22×C4—24no—
1481C22×C4—24no—
1482C22×C4—24no—
1483C22×C4—24no—
1484C22×C4—24no—
1485C22×C4—22no—
1486C22×C4—22no—
1487C22×C4—22no—
1488C22×C4—22no—
1489C22×C4—28no—
1490C22×C4—24no—
1491C22×C4—24no—
1492C22×C4—22no—
1493C22×C4—22no—
1494C22×C4—22no—
1495C22×C4—28no—
1496C22×C4—24no—
1497C22×C4—22no—
1498C22×C4—22no—
1499C22×C4—22no—
1500C22×C4—24no—
1501C22×C4—22no—
1502C22×C4—22no—
1503C22×C4—22no—
1504C22×C4—22no—
1505C22×C4—28no—
1506C22×C4—28no—
1507C22×C4—28no—
1508C22×C4—28no—
1509C22×C4—24no—
1510C22×C4—24no—
1511C22×C4—44no—
1512C22×C4—44no—
1513C22×C4—44no—
1514C22×C4—42no—
1515C22×C4—42no—
1516C22×C4—42no—
1517C22×C4—42no—
1518C22×C4—44no—
1519C22×C4—44no—
1520C22×C4—44no—
1521C22×C4—41no—
1522C22×C4—41no—
1523C22×C4—42no—
1524C22×C4—44no—
1525C22×C4—42no—
1526C22×C4—41no—
1527C22×C4—41no—
1528C22×C4—42no—
1529C22×C4—44no—
1530C22×C4—44no—
1531C22×C4—44no—
1532C22×C4—44no—
1533C22×C4—44no—
1534C22×C4—44no—
1535C22×C4—44no—
1536C22×C4—44no—
1537C22×C4—44no—
1538C22×C4—44no—
1539C22×C4C22×D418yes—
1540C22×C4C22×D418yes—
1541C22×C4C22×D4116yes—
1542C22×C4C2511yescharacteristic
1543C22×C4C2512yes—
1544C22×C4C2512yes—
1545C22×C4C2511yescharacteristic
1546C22×C4C2511yescharacteristic
1547C22×C4C2511yescharacteristic
1548C22×C4C2512yes—
1549C22×C4C2512yes—
1550C22×C4C2514yes—
1551C22×C4C2512yes—
1552C22×C4C2512yes—
1553C22×C4C2511yescharacteristic
1554C22×C4C2512yes—
1555C22×C4C2512yes—
1556C22×C4C2512yes—
1557C22×C4C2511yescharacteristic
1558C22×C4C2512yes—
1559C22×C4C2511yescharacteristic
1560C22×C4C2511yescharacteristic
1561C22×C4C2514yes—
1562C22×C4C2512yes—
1563C22×C4C2512yes—
1564C22×C4C2511yescharacteristic
1565C22×C4C2511yescharacteristic
1566C22×C4C2512yes—
1567C22×C4C2511yescharacteristic
1568C22×C4C2511yescharacteristic
1569C22×C4C2511yescharacteristic
1570C4⋊C4—24no—
1571C4⋊C4—24no—
1572C4⋊C4—28no—
1573C4⋊C4—24no—
1574C4⋊C4—22no—
1575C4⋊C4—24no—
1576C4⋊C4—22no—
1577C4⋊C4—24no—
1578C4⋊C4—24no—
1579C4⋊C4—24no—
1580C4⋊C4—24no—
1581C4⋊C4—22no—
1582C4⋊C4—28no—
1583C4⋊C4—24no—
1584C4⋊C4—22no—
1585C4⋊C4—28no—
1586C4⋊C4—28no—
1587C4⋊C4—24no—
1588C4⋊C4—24no—
1589C4⋊C4—24no—
1590C4⋊C4—22no—
1591C4⋊C4—22no—
1592C4⋊C4—28no—
1593C4⋊C4—24no—
1594C4⋊C4—24no—
1595C4⋊C4—24no—
1596C4⋊C4—22no—
1597C4⋊C4—24no—
1598C4⋊C4—24no—
1599C4⋊C4—24no—
1600C4⋊C4—28no—
1601C4⋊C4—22no—
1602C4⋊C4—22no—
1603C4⋊C4—24no—
1604C4⋊C4—44no—
1605C4⋊C4—44no—
1606C4⋊C4—44no—
1607C4⋊C4—41no—
1608C4⋊C4—41no—
1609C4⋊C4—42no—
1610C4⋊C4—42no—
1611C4⋊C4—42no—
1612C4⋊C4—42no—
1613C4⋊C4—42no—
1614C4⋊C4—44no—
1615C4⋊C4—42no—
1616C4⋊C4—42no—
1617C4⋊C4—42no—
1618C4⋊C4C22×D4116yes—
1619C4⋊C4C22×D414yes—
1620C4⋊C4C22×D418yes—
1621C4⋊C4C22×D414yes—
1622C4⋊C4C22×D418yes—
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—28no—
1633C22⋊C4—28no—
1634C22⋊C4—24no—
1635C22⋊C4—28no—
1636C22⋊C4—28no—
1637C22⋊C4—28no—
1638C22⋊C4—24no—
1639C22⋊C4—28no—
1640C22⋊C4—28no—
1641C22⋊C4—28no—
1642C22⋊C4—28no—
1643C22⋊C4—24no—
1644C22⋊C4—24no—
1645C22⋊C4—28no—
1646C22⋊C4—28no—
1647C22⋊C4—28no—
1648C22⋊C4—24no—
1649C22⋊C4—24no—
1650C22⋊C4—24no—
1651C22⋊C4—22no—
1652C22⋊C4—22no—
1653C22⋊C4—28no—
1654C22⋊C4—24no—
1655C22⋊C4—24no—
1656C22⋊C4—24no—
1657C22⋊C4—22no—
1658C22⋊C4—22no—
1659C22⋊C4—24no—
1660C22⋊C4—24no—
1661C22⋊C4—42no—
1662C22⋊C4—44no—
1663C22⋊C4—42no—
1664C22⋊C4—44no—
1665C22⋊C4—44no—
1666C22⋊C4—44no—
1667C22⋊C4—44no—
1668C22⋊C4—42no—
1669C22⋊C4—41no—
1670C22⋊C4—41no—
1671C22⋊C4—44no—
1672C22⋊C4—42no—
1673C22⋊C4—44no—
1674C22⋊C4—44no—
1675C22⋊C4—44no—
1676C22⋊C4—44no—
1677C22⋊C4—44no—
1678C22⋊C4—44no—
1679C22⋊C4—44no—
1680C22⋊C4—42no—
1681C22⋊C4—42no—
1682C22⋊C4—44no—
1683C22⋊C4—44no—
1684C22⋊C4—44no—
1685C22⋊C4—42no—
1686C22⋊C4—44no—
1687C22⋊C4—44no—
1688C22⋊C4—44no—
1689C22⋊C4—42no—
1690C22⋊C4—44no—
1691C22⋊C4—44no—
1692C22⋊C4—42no—
1693C22⋊C4—42no—
1694C22⋊C4—42no—
1695C22⋊C4—42no—
1696C22⋊C4C22×D4116yes—
1697C22⋊C4C22×D418yes—
1698C22⋊C4C22×D418yes—
1699C42—22no—
1700C42—24no—
1701C42—22no—
1702C42—24no—
1703C42—22no—
1704C42—22no—
1705C42—22no—
1706C42—24no—
1707C42—22no—
1708C42—24no—
1709C42—28no—
1710C42—24no—
1711C42—28no—
1712C42—22no—
1713C42—24no—
1714C42—24no—
1715C42—28no—
1716C42—22no—
1717C42—22no—
1718C42—22no—
1719C42—42no—
1720C42—42no—
1721C42—44no—
1722C42—41no—
1723C42C22×D414yes—
1724C42H(5,𝔽2)14yes—
1725C23—22no—
1726C23—22no—
1727C23—22no—
1728C23—22no—
1729C23—22no—
1730C23—22no—
1731C23—22no—
1732C23—22no—
1733C23—22no—
1734C23—22no—
1735C23—22no—
1736C23—22no—
1737C23—22no—
1738C23—21no—
1739C23—24no—
1740C23—24no—
1741C23—21no—
1742C23—22no—
1743C23—24no—
1744C23—21no—
1745C23—22no—
1746C23—21no—
1747C23—21no—
1748C23—24no—
1749C23—24no—
1750C23—21no—
1751C23—24no—
1752C23—21no—
1753C23—21no—
1754C23—22no—
1755C23—21no—
1756C23—21no—
1757C23—24no—
1758C23—21no—
1759C23—24no—
1760C23—24no—
1761C23—22no—
1762C23—21no—
1763C23—22no—
1764C23—24no—
1765C23—24no—
1766C23—24no—
1767C23—22no—
1768C23—24no—
1769C23—21no—
1770C23—21no—
1771C23—24no—
1772C23—88no—
1773C23—88no—
1774C23—88no—
1775C23—88no—
1776C23—88no—
1777C23—164no—
1778C23—164no—
1779C23C23×D414yes—
1780C23C23×D414yes—
1781C23C2611yescharacteristic
1782Q8—28no—
1783Q8—216no—
1784Q8—44no—
1785Q8—44no—
1786Q8—84no—
1787D4—28no—
1788D4—28no—
1789D4—416no—
1790D4—416no—
1791D4—48no—
1792D4—44no—
1793D4—48no—
1794D4—48no—
1795D4—44no—
1796D4—48no—
1797D4—48no—
1798D4—84no—
1799D4—84no—
1800D4—88no—
1801D4—88no—
1802D4—88no—
1803D4—88no—
1804D4—88no—
1805D4—88no—
1806D4—84no—
1807D4—88no—
1808D4—84no—
1809D4—84no—
1810D4—88no—
1811D4—84no—
1812D4—88no—
1813D4—88no—
1814D4—88no—
1815D4—84no—
1816D4—84no—
1817D4—88no—
1818D4—84no—
1819D4—164no—
1820D4—164no—
1821D4—164no—
1822D4—164no—
1823D4—164no—
1824C2×C4—22no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—24no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—24no—
1837C2×C4—22no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—216no—
1841C2×C4—216no—
1842C2×C4—21no—
1843C2×C4—21no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—21no—
1847C2×C4—21no—
1848C2×C4—21no—
1849C2×C4—22no—
1850C2×C4—21no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—24no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—21no—
1862C2×C4—21no—
1863C2×C4—24no—
1864C2×C4—22no—
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—21no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—21no—
1881C2×C4—22no—
1882C2×C4—21no—
1883C2×C4—21no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—21no—
1887C2×C4—21no—
1888C2×C4—21no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—21no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—24no—
1896C2×C4—416no—
1897C2×C4—416no—
1898C2×C4—48no—
1899C2×C4—48no—
1900C2×C4—44no—
1901C2×C4—44no—
1902C2×C4—44no—
1903C2×C4—44no—
1904C2×C4—82no—
1905C2×C4—82no—
1906C2×C4—84no—
1907C2×C4—84no—
1908C2×C4—88no—
1909C2×C4—88no—
1910C2×C4—88no—
1911C2×C4—88no—
1912C2×C4—84no—
1913C2×C4—164no—
1914C2×C4—164no—
1915C2×C4C23×D412yes—
1916C2×C4C23×D414yes—
1917C2×C4C23×D418yes—
1918C2×C4C23×D414yes—
1919C2×C4C23×D412yes—
1920C2×C4C23×D412yes—
1921C2×C4C2×H(5,𝔽2)12yes—
1922C2×C4C2×H(5,𝔽2)12yes—
1923C2×C4C2×H(5,𝔽2)14yes—
1924C2×C4C2×H(5,𝔽2)12yes—
1925C2×C4C2×H(5,𝔽2)12yes—
1926C2×C4#58512yes—
1927C2×C4#58512yes—
1928C2×C4#58512yes—
1929C22—24no—
1930C22—24no—
1931C22—24no—
1932C22—24no—
1933C22—24no—
1934C22—24no—
1935C22—42no—
1936C22—42no—
1937C22—42no—
1938C22—42no—
1939C22—42no—
1940C22—42no—
1941C22—42no—
1942C22—42no—
1943C22—41no—
1944C22—41no—
1945C22—44no—
1946C22—44no—
1947C22—42no—
1948C22—41no—
1949C22—44no—
1950C22—44no—
1951C22—42no—
1952C22—41no—
1953C22—41no—
1954C22—41no—
1955C22—44no—
1956C22—44no—
1957C22—42no—
1958C22—44no—
1959C22—41no—
1960C22—41no—
1961C22—42no—
1962C22—44no—
1963C22—41no—
1964C22—41no—
1965C22—44no—
1966C22—44no—
1967C22—42no—
1968C22—44no—
1969C22—44no—
1970C22—41no—
1971C22—41no—
1972C22—42no—
1973C22—44no—
1974C22—44no—
1975C22—41no—
1976C22—41no—
1977C22—42no—
1978C22—1616no—
1979C22C24×D411yescharacteristic
1980C22C22×H(5,𝔽2)11yescharacteristic
1981C22C22×H(5,𝔽2)11yescharacteristic
1982C22C2×#58511yescharacteristic
1983C22C2×#58511yescharacteristic
1984C22C2×#58511yescharacteristic
1985C22H(7,𝔽2)11yescharacteristic
1986C4—22no—
1987C4—22no—
1988C4—24no—
1989C4—28no—
1990C4—24no—
1991C4—24no—
1992C4—22no—
1993C4—22no—
1994C4—41no—
1995C4—41no—
1996C4—42no—
1997C4—42no—
1998C4—42no—
1999C4—42no—
2000C4—41no—
2001C4—41no—
2002C4—42no—
2003C4—41no—
2004C4—42no—
2005C4—41no—
2006C4—42no—
2007C4—42no—
2008C4—42no—
2009C4—42no—
2010C4—44no—
2011C4—41no—
2012C4#348814yes—
2013C4#349614yes—
2014C2—44no—
2015C2—44no—
2016C2—81no—
2017C2—81no—
2018C2—84no—
2019C2—84no—
2020C2—82no—
2021C2C2×#349611yescharacteristic
2022C2C2×#348811yescharacteristic
2023C2#6283611yescharacteristic
2024C2#6291611yescharacteristic
2025C2#6296911yescharacteristic
2026C2#6300311yescharacteristic
2027C2#6301911yescharacteristic
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×#3546C2semidirect
3. #59653C2semidirect
4. #59129C2semidirect
5. #59078C2semidirect
6. #59049C2semidirect
7. #59046C2semidirect
8. #50681C2semidirect
9. #49582C2semidirect
10. #46378C2semidirect
11. #45002C2semidirect
12. #44987C2semidirect
13. #44892C2semidirect
14. #44886C2semidirect
15. #43033C2semidirect
16. #42969C2semidirect
17. #42433C2semidirect
18. #39865C2semidirect
19. #39742C2semidirect
20. #39434C2semidirect
21. #39361C2semidirect
22. #39341C2semidirect
23. #38909C2semidirect
24. #38909C2semidirect
25. #37797C2semidirect
26. #36258C2semidirect
27. #36128C2semidirect
28. #36128C2semidirect
29. #36029C2semidirect
30. #35793C2semidirect
31. #35564C2semidirect
32. #35533C2semidirect
33. #34889C2semidirect
34. #34724C2semidirect
35. #34308C2semidirect
39. C2×#557C22semidirect
42. C2×#553C22semidirect
43. C2×#553C22semidirect
48. C2×#550C22semidirect
49. C2×#550C22semidirect
50. C2×#550C22semidirect
52. C2×#547C22semidirect
59. C2×#540C22semidirect
62. C2×#537C22semidirect
68. C2×#532C22semidirect
69. C2×#532C22semidirect
70. C2×#532C22semidirect
72. C2×#529C22semidirect
73. C2×#529C22semidirect
74. C2×#520C22semidirect
75. C2×#520C22semidirect
79. #2856C22semidirect
80. #2856C22semidirect
82. #2815C22semidirect
83. #2727C22semidirect
84. #2725C22semidirect
85. #2723C22semidirect
86. #2714C22semidirect
87. #2714C22semidirect
88. #2711C22semidirect
89. #2710C22semidirect
90. #2706C22semidirect
91. #2705C22semidirect
92. #2705C22semidirect
93. #2696C22semidirect
94. #2693C22semidirect
95. #2691C22semidirect
96. #2691C22semidirect
97. #2688C22semidirect
98. #2682C22semidirect
99. #2678C22semidirect
100. #2676C22semidirect
101. #2676C22semidirect
102. #2675C22semidirect
103. #2673C22semidirect
104. #2673C22semidirect
105. #2673C22semidirect
106. #2671C22semidirect
107. #2671C22semidirect
108. #2671C22semidirect
111. #2669C22semidirect
112. #2669C22semidirect
113. #2669C22semidirect
114. #2668C22semidirect
115. #2668C22semidirect
116. #2656C22semidirect
117. #2635C22semidirect
118. #2635C22semidirect
119. #2624C22semidirect
120. #2624C22semidirect
122. #2619C22semidirect
123. #2615C22semidirect
124. #2600C22semidirect
125. #2582C22semidirect
126. #2559C22semidirect
127. #2557C22semidirect
128. #2557C22semidirect
129. #2550C22semidirect
133. #2548C22semidirect
134. #2548C22semidirect
136. #2545C22semidirect
139. #2544C22semidirect
140. #2543C22semidirect
141. #2543C22semidirect
144. #2541C22semidirect
145. #2541C22semidirect
146. #2541C22semidirect
147. #2541C22semidirect
148. #2541C22semidirect
150. #2540C22semidirect
151. #2539C22semidirect
153. #2535C22semidirect
154. #2535C22semidirect
155. #2521C22semidirect
156. #2519C22semidirect
157. #2492C22semidirect
159. #2490C22semidirect
160. #2489C22semidirect
161. #2481C22semidirect
162. #2479C22semidirect
163. #2478C22semidirect
164. #2471C22semidirect
165. #2470C22semidirect
166. #2467C22semidirect
167. #2466C22semidirect
168. #2464C22semidirect
169. #2464C22semidirect
170. #2461C22semidirect
171. #2460C22semidirect
172. #2455C22semidirect
173. #2455C22semidirect
174. #2454C22semidirect
175. #2454C22semidirect
176. #2454C22semidirect
177. #2453C22semidirect
178. #2452C22semidirect
180. #2448C22semidirect
181. #2448C22semidirect
183. #2446C22semidirect
184. #2443C22semidirect
185. #2441C22semidirect
186. #2441C22semidirect
191. #2432C22semidirect
194. #2431C22semidirect
195. #2431C22semidirect
196. #2431C22semidirect
197. #2431C22semidirect
198. #2429C22semidirect
199. #2429C22semidirect
205. #2428C22semidirect
206. #2428C22semidirect
207. #2428C22semidirect
208. #2428C22semidirect
209. #2428C22semidirect
210. #2428C22semidirect
211. #2428C22semidirect
212. #2428C22semidirect
213. #2428C22semidirect
214. #2428C22semidirect
215. #2427C22semidirect
216. #2427C22semidirect
217. #2427C22semidirect
218. #2427C22semidirect
220. #2426C22semidirect
222. #2424C22semidirect
223. #2424C22semidirect
224. #2424C22semidirect
225. #2424C22semidirect
226. #2424C22semidirect
227. #2424C22semidirect
229. #2418C22semidirect
230. #2417C22semidirect
232. #2416C22semidirect
233. #2416C22semidirect
234. #2416C22semidirect
235. #2416C22semidirect
236. #2416C22semidirect
237. #2416C22semidirect
238. #2416C22semidirect
239. #2416C22semidirect
240. #2415C22semidirect
241. #2415C22semidirect
243. #2414C22semidirect
244. #2414C22semidirect
245. #2414C22semidirect
246. #2414C22semidirect
247. #2412C22semidirect
251. #2407C22semidirect
252. #2407C22semidirect
253. #2407C22semidirect
254. #2395C22semidirect
255. #2395C22semidirect
256. #2392C22semidirect
257. #2392C22semidirect
258. #2388C22semidirect
259. #2367C22semidirect
260. #2366C22semidirect
261. #2366C22semidirect
262. #2366C22semidirect
263. #2366C22semidirect
264. #2365C22semidirect
265. #2363C22semidirect
266. #2362C22semidirect
268. #2360C22semidirect
269. #2359C22semidirect
270. #2358C22semidirect
271. #2351C22semidirect
273. D4×C4⋊C4C22semidirect
274. #2344C22semidirect
275. #2341C22semidirect
276. #2341C22semidirect
277. #2339C22semidirect
279. #2325C22semidirect
280. #2323C22semidirect
281. #2322C22semidirect
282. #2311C22semidirect
283. #2311C22semidirect
284. C4×C4⋊Q8C22semidirect
285. C4×C4⋊Q8C22semidirect
287. C4×C22⋊Q8C22semidirect
288. C4×C22⋊Q8C22semidirect
289. C4×C22⋊Q8C22semidirect
290. C4×#123C22semidirect
293. C4×#121C22semidirect
294. #2297C22semidirect
295. #2296C22semidirect
298. C2×#389C22semidirect
299. C42×D4C22semidirect
300. C42×D4C22semidirect
325. #547D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35172
C2×#35462
#596532
#591292
#590782
#590492
#590462
#506812
#495822
#463782
#450022
#449872
#448922
#448862
#430332
#429692
#424332
#398652
#397422
#394342
#393612
#393412
#389092
#377972
#362582
#361282
#360292
#357932
#355642
#355332
#348892
#347242
#343082