Finite Group Databasebeta

← #7880566

Subgroups — #7880566

Order 512.

8196 conjugacy classes of subgroups.

The subgroup lattice has 2015 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3499C211yesmaximal, characteristic, complemented
2C2×#3546C211yesmaximal, characteristic, complemented
3#59421C211yesmaximal, characteristic, complemented
4#59134C211yesmaximal, characteristic, complemented
5#59130C212yesmaximal, complemented
6#59099C212yesmaximal, complemented
7#59080C211yesmaximal, characteristic, complemented
8#51418C214yesmaximal, complemented
9#47957C214yesmaximal, complemented
10#46365C214yesmaximal, complemented
11#45353C212yesmaximal, complemented
12#45289C212yesmaximal, complemented
13#45093C212yesmaximal, complemented
14#44871C212yesmaximal, complemented
15#43011C214yesmaximal, complemented
16#42967C212yesmaximal, complemented
17#42421C212yesmaximal, complemented
18#39961C212yesmaximal, complemented
19#39720C212yesmaximal, complemented
20#39471C211yesmaximal, characteristic, complemented
21#39439C212yesmaximal, complemented
22#39342C211yesmaximal, characteristic, complemented
23#38956C211yesmaximal, characteristic, complemented
24#38911C211yesmaximal, characteristic, complemented
25#37782C212yesmaximal, complemented
26#36410C211yesmaximal, characteristic, complemented
27#36122C211yesmaximal, characteristic, complemented
28D4×#124C211yesmaximal, characteristic, complemented
29#35768C212yesmaximal, complemented
30#35757C212yesmaximal, complemented
31#35676C212yesmaximal, complemented
32#35592C212yesmaximal, complemented
33#34889C211yesmaximal, characteristic, complemented
34#34715C211yesmaximal, characteristic, complemented
35#34316C211yesmaximal, characteristic, complemented
36C22×2−1+4C2212yescomplemented
37#3546—216no—
38C2×#560C2214yes—
39#3499—216no—
40C2×#556C2211yescharacteristic
41C2×#553C2212yes—
42C2×#550C2212yes—
43C2×#550C2211yescharacteristic
44C2×D4×Q8C2211yescharacteristic
45C2×D4×Q8C2211yescharacteristic, complemented
46C2×D4×Q8C2212yescomplemented
47C2×#548C2212yescomplemented
48C2×#548C2212yescomplemented
49C2×#547C2212yes—
50C2×#547C2211yescharacteristic
51C2×#547C2214yescomplemented
52C2×#547C2212yescomplemented
53C2×#547C2211yescharacteristic, complemented
54C2×#547C2212yescomplemented
55C2×#546C2212yes—
56C2×#546C2212yes—
57C2×D42C2211yescharacteristic
58C2×#542C2212yes—
59C2×#538C2214yes—
60C2×#537C2212yes—
61C2×#536C2212yescomplemented
62C2×#536C2214yescomplemented
63C2×#535C2212yes—
64C2×#535C2212yes—
65C2×#535C2212yes—
66C2×#532C2211yescharacteristic
67C2×#532C2211yescharacteristic
68C2×#532C2211yescharacteristic
69C2×#532C2212yes—
70C22×C4⋊Q8C2212yescomplemented
71C22×C4⋊Q8C2211yescharacteristic, complemented
72C2×#529C2211yescharacteristic
73C22×#124C2212yes—
74C2×C4×#41C2211yescharacteristic, complemented
75#2858C2211yescharacteristic
76#2857C2211yescharacteristic, complemented
77#2856C2211yescharacteristic
78#2854C2212yescomplemented
79#2850C2212yes—
80#2813C2214yescomplemented
81#2716C2214yescomplemented
82#2716C2214yescomplemented
83#2716C2214yescomplemented
84#2712C2214yescomplemented
85#2710C2214yescomplemented
86#2709C2214yescomplemented
87#2708C2214yescomplemented
88#2703C2214yescomplemented
89#2703C2214yescomplemented
90#2703C2214yescomplemented
91#2702C2214yescomplemented
92#2700C2214yescomplemented
93#2697C2214yescomplemented
94#2697C2214yescomplemented
95#2696C2214yescomplemented
96#2693C2214yescomplemented
97#2692C2214yescomplemented
98#2689C2214yescomplemented
99#2688C2214yescomplemented
100#2687C2214yescomplemented
101#2687C2214yescomplemented
102#2678C2214yescomplemented
103#2678C2214yescomplemented
104#2678C2214yescomplemented
105#2676C2214yescomplemented
106#2676C2214yescomplemented
107#2674C2214yescomplemented
108#2674C2214yescomplemented
109#2673C2214yescomplemented
110#2673C2214yescomplemented
111#2670C2214yes—
112#2670C2214yescomplemented
113#2669C2214yes—
114#2661C2214yescomplemented
115#2661C2214yescomplemented
116#2625C2212yescomplemented
117#2619C2212yescomplemented
118#2618C2214yescomplemented
119#2615C2212yes—
120#2615C2212yescomplemented
121#2615C2214yescomplemented
122#2602C2214yescomplemented
123#2591C2214yescomplemented
124#2591C2214yescomplemented
125#2582C2211yescharacteristic, complemented
126#2568C2211yescharacteristic, complemented
127#2560C2214yescomplemented
128#2560C2214yescomplemented
129#2559C2212yescomplemented
130#2557C2214yescomplemented
131#2557C2214yescomplemented
132#2557C2212yescomplemented
133#2554C2214yescomplemented
134#2550C2211yescharacteristic, complemented
135#2550C2212yescomplemented
136#2548C2211yescharacteristic
137#2547C2211yescharacteristic
138#2545C2212yes—
139#2545C2212yescomplemented
140#2544C2211yescharacteristic
141#2541C2211yescharacteristic
142#2541C2212yes—
143#2540C2212yes—
144#2540C2211yescharacteristic, complemented
145#2537C2211yescharacteristic
146#2535C2211yescharacteristic
147#2521C2212yescomplemented
148#2504C2212yescomplemented
149#2492C2214yescomplemented
150#2492C2211yescharacteristic, complemented
151#2492C2214yescomplemented
152#2492C2212yescomplemented
153#2492C2212yescomplemented
154#2492C2212yescomplemented
155#2492C2212yescomplemented
156#2491C2212yes—
157#2491C2212yes—
158#2491C2212yes—
159#2491C2212yescomplemented
160#2491C2214yescomplemented
161#2491C2212yescomplemented
162#2491C2214yescomplemented
163#2491C2212yescomplemented
164#2490C2211yescharacteristic, complemented
165#2487C2212yescomplemented
166#2481C2214yescomplemented
167#2476C2214yescomplemented
168#2476C2212yescomplemented
169#2474C2212yescomplemented
170#2472C2214yes—
171#2472C2214yes—
172#2472C2214yescomplemented
173#2472C2214yescomplemented
174#2464C2214yescomplemented
175#2464C2212yescomplemented
176#2463C2214yescomplemented
177#2461C2214yescomplemented
178#2459C2212yescomplemented
179#2459C2214yescomplemented
180#2457C2214yescomplemented
181#2456C2212yescomplemented
182#2452C2212yescomplemented
183#2452C2212yescomplemented
184#2452C2212yescomplemented
185#2451C2211yescharacteristic, complemented
186#2447C2212yes—
187#2446C2212yescomplemented
188#2445C2211yescharacteristic
189#2445C2214yescomplemented
190#2445C2212yescomplemented
191#2439C2211yescharacteristic, complemented
192#2439C2212yescomplemented
193#2439C2212yescomplemented
194#2437C2214yescomplemented
195#2436C2212yes—
196#2436C2212yes—
197#2436C2212yes—
198#2436C2214yescomplemented
199#2436C2214yescomplemented
200#2436C2212yescomplemented
201#2436C2214yescomplemented
202#2436C2212yescomplemented
203#2435C2212yes—
204#2433C2212yes—
205#2432C2212yescomplemented
206#2431C2212yes—
207#2431C2211yescharacteristic
208#2431C2214yescomplemented
209#2431C2212yescomplemented
210#2431C2212yescomplemented
211#2431C2212yescomplemented
212#2431C2212yescomplemented
213#2431C2214yescomplemented
214#2431C2214yescomplemented
215#2431C2214yescomplemented
216#2428C2211yescharacteristic
217#2428C2212yescomplemented
218#2427C2211yescharacteristic
219#2427C2212yescomplemented
220#2427C2212yescomplemented
221#2427C2212yescomplemented
222#2426C2212yes—
223#2426C2211yescharacteristic
224#2426C2212yescomplemented
225#2424C2214yescomplemented
226#2421C2212yescomplemented
227#2420C2212yes—
228#2420C2211yescharacteristic, complemented
229#2418C2214yescomplemented
230#2417C2212yescomplemented
231#2416C2212yescomplemented
232#2416C2212yescomplemented
233#2415C2212yescomplemented
234#2414C2212yes—
235#2414C2211yescharacteristic
236#2414C2212yescomplemented
237#2414C2212yescomplemented
238#2409C2214yescomplemented
239#2409C2212yescomplemented
240#2408C2212yes—
241#2408C2212yes—
242#2407C2214yescomplemented
243#2407C2212yescomplemented
244#2407C2212yescomplemented
245#2407C2214yescomplemented
246#2407C2212yescomplemented
247#2407C2211yescharacteristic, complemented
248#2404C2214yescomplemented
249#2404C2214yescomplemented
250#2404C2214yescomplemented
251#2404C2214yescomplemented
252#2395C2212yescomplemented
253#2392C2212yescomplemented
254#2388C2214yescomplemented
255#2388C2212yescomplemented
256#2388C2212yescomplemented
257#2374C2214yescomplemented
258#2367C2212yescomplemented
259#2366C2212yescomplemented
260#2365C2211yescharacteristic, complemented
261#2363C2212yes—
262#2363C2212yescomplemented
263#2363C2212yescomplemented
264#2362C2212yescomplemented
265#2361C2212yescomplemented
266#2361C2212yescomplemented
267#2358C2214yescomplemented
268#2354C2211yescharacteristic
269#2354C2211yescharacteristic, complemented
270#2352C2212yescomplemented
271#2345C2212yescomplemented
272#2341C2212yescomplemented
273Q8×C22⋊C4C2212yescomplemented
274Q8×C22⋊C4C2212yescomplemented
275D4×C22⋊C4C2212yes—
276D4×C22⋊C4C2212yes—
277#2335C2214yescomplemented
278#2324C2212yes—
279#2322C2214yescomplemented
280#2311C2212yescomplemented
281#2311C2212yescomplemented
282#2310C2212yescomplemented
283C4×C4⋊Q8C2211yescharacteristic, complemented
284C4×#124C2211yescharacteristic
285C4×#124C2211yescharacteristic, complemented
286C4×C22⋊Q8C2212yescomplemented
287C4×C22⋊Q8C2211yescharacteristic, complemented
288C4×C22⋊Q8C2211yescharacteristic, complemented
289C4×#123C2212yescomplemented
290C4×#121C2211yescharacteristic
291C4×#121C2212yescomplemented
292C4×#121C2211yescharacteristic, complemented
293#2297C2212yescomplemented
294#2297C2212yescomplemented
295#2297C2212yescomplemented
296#2297C2212yescomplemented
297#2293C2211yescharacteristic, complemented
298#2274C2212yescomplemented
299C42×D4C2211yescharacteristic
300C42×D4C2211yescharacteristic, complemented
301C2×2−1+4—216no—
302C2×2−1+4—48no—
303C2×2−1+4—48no—
304C22×#41C2311yescharacteristic
305C22×#41C2312yes—
306C22×#41C2312yes—
307C22×#41C2312yes—
308C22×#41C2314yes—
309C22×#41C2314yes—
310C22×#41C2314yes—
311C22×#41C2312yes—
312C22×#41C2312yes—
313C22×#41C2312yes—
314C23×Q8C2312yes—
315C23×Q8C2312yes—
316C23×Q8C2312yes—
317C23×Q8C2314yes—
318C23×D4C2312yes—
319C23×D4C2312yes—
320#560—232no—
321#556—28no—
322#553—216no—
323#550—216no—
324#550—28no—
325D4×Q8—28no—
326D4×Q8—216no—
327D4×Q8—28no—
328#548—48no—
329#548—48no—
330#547—216no—
331#547—232no—
332#547—216no—
333#547—28no—
334#547—216no—
335#547D4116yescomplemented
336#546—216no—
337#546—216no—
338D42—28no—
339#542—216no—
340#538—232no—
341#537—216no—
342#536—232no—
343#536—216no—
344#535—216no—
345#535—216no—
346#535—48no—
347#532—28no—
348#532—216no—
349#532—28no—
350#532—28no—
351C2×C4⋊Q8—28no—
352C2×C4⋊Q8—216no—
353C2×C4⋊Q8C2311yescharacteristic
354C2×C4⋊Q8C2312yes—
355C2×C4⋊Q8C2311yescharacteristic
356C2×C4⋊Q8C2314yes—
357C2×C4⋊Q8C2314yes—
358C2×C4⋊Q8C2312yes—
359C2×C4⋊Q8C2312yes—
360C2×C4⋊Q8C2312yes—
361C2×C4⋊Q8C2312yes—
362C2×C4⋊Q8C2311yescharacteristic
363C2×C4⋊Q8C2311yescharacteristic
364C2×#127C2311yescharacteristic
365C2×#127C2314yes—
366C2×#127C2311yescharacteristic
367C2×#127C2311yescharacteristic
368C2×#127C2312yes—
369C2×#127C2312yes—
370C2×#127C2314yes—
371#529—28no—
372C2×#126C2314yes—
373C2×#126C2314yes—
374C2×#126C2312yes—
375C2×#125C2311yescharacteristic
376C2×#124—48no—
377C2×#124C2312yes—
378C2×#124C2311yescharacteristic
379C2×#124C2312yes—
380C2×#124C2314yes—
381C2×#124C2311yescharacteristic
382C2×#124C2312yes—
383C2×#124C2312yes—
384C2×#124C2312yes—
385C2×#124C2314yes—
386C2×#124C2312yes—
387C2×#124C2312yes—
388C2×#124C2314yes—
389C2×#124C2312yes—
390C2×#124C2314yes—
391C2×#124C2314yes—
392C2×#124C2314yes—
393C2×#124C2314yes—
394C2×#124C2311yescharacteristic
395C2×#123C2314yes—
396C2×#123C2312yes—
397C2×#123C2314yes—
398C2×#123C2314yes—
399C2×#123C2314yes—
400C2×#123C2314yes—
401C2×#123C2314yes—
402C2×#123C2314yes—
403C2×#123C2314yes—
404C2×#123C2312yes—
405C2×#123C2314yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2314yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2314yes—
420C2×C22⋊Q8C2314yes—
421C2×C22⋊Q8C2312yes—
422C2×#121C2314yes—
423C2×#121C2314yes—
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2314yes—
429C2×#121C2311yescharacteristic
430C2×#121C2314yes—
431C2×#121C2311yescharacteristic
432C2×#121C2312yes—
433C2×#121C2311yescharacteristic
434C2×#121C2311yescharacteristic
435C2×#121C2311yescharacteristic
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2314yes—
439C2×#121C2314yes—
440C2×#121C2311yescharacteristic
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2314yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2311yescharacteristic
448C2×#121C2312yes—
449C2×#121C2314yes—
450C2×#121C2314yes—
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#120C2314yes—
456C2×#120C2314yes—
457C2×#120C2314yes—
458C2×#120C2314yes—
459C2×#120C2314yes—
460C2×#120C2314yes—
461C2×#120C2314yes—
462C4×#41—28no—
463C2×C4×Q8C2311yescharacteristic
464C2×C4×Q8C2311yescharacteristic
465C2×C4×Q8C2312yes—
466C2×C4×Q8C2311yescharacteristic
467C2×C4×Q8C2312yes—
468C2×C4×Q8C2312yes—
469C2×C4×D4C2314yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2314yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2312yes—
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2312yes—
488C2×C4×D4C2314yes—
489C2×C4×D4C2314yes—
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2312yes—
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2311yescharacteristic
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2311yescharacteristic
498C2×#117C2312yes—
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2312yes—
502C22×C4⋊C4C2312yes—
503C22×C4⋊C4C2314yes—
504C22×C4⋊C4C2312yes—
505C22×C4⋊C4C2312yes—
506C22×C4⋊C4C2312yes—
507C22×C22⋊C4C2314yes—
508C22×C22⋊C4C2314yes—
509C22×C22⋊C4C2314yes—
510C22×C42C2312yes—
511C22×C42C2311yescharacteristic
512C22×C42C2311yescharacteristic
513C22×C42C2312yes—
514#400C2314yes—
515#400C2312yes—
516#400C2314yes—
517#400C2314yes—
518#400C2314yes—
519#400C2314yes—
520#399C2312yes—
521#399C2314yes—
522#398C2312yes—
523#398C2314yes—
524#398C2312yes—
525#398C2314yes—
526#398C2314yes—
527#397C2312yes—
528#397C2314yes—
529#397C2312yes—
530#397C2314yes—
531#397C2314yes—
532#397C2312yes—
533#397C2312yes—
534#397C2314yes—
535#397C2314yes—
536#397C2314yes—
537#397C2314yes—
538#396C2314yes—
539#396C2314yes—
540#396C2314yes—
541#396C2314yes—
542#396C2312yes—
543#396C2312yes—
544#396C2314yes—
545#396C2314yes—
546#395C2312yes—
547#395C2314yes—
548#395C2312yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2312yes—
560#394C2312yes—
561#394C2312yes—
562#394C2312yes—
563#394C2312yes—
564#394C2312yes—
565#394C2312yes—
566#394C2312yes—
567#394C2312yes—
568#394C2312yes—
569#394C2312yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#393C2314yes—
578#393C2314yes—
579#393C2314yes—
580#393C2314yes—
581#393C2314yes—
582#393C2314yes—
583#393C2312yes—
584#393C2312yes—
585#393C2314yes—
586#393C2314yes—
587#393C2314yes—
588#393C2314yes—
589#393C2314yes—
590#393C2314yes—
591#393C2314yes—
592#392C2314yes—
593#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#392C2312yes—
597#392C2312yes—
598#392C2314yes—
599#392C2314yes—
600#392C2314yes—
601#392C2314yes—
602#392C2314yes—
603#392C2314yes—
604#392C2312yes—
605#392C2314yes—
606#392C2312yes—
607#392C2312yes—
608#392C2312yes—
609#392C2312yes—
610#392C2314yes—
611#392C2314yes—
612#392C2314yes—
613#392C2314yes—
614#392C2314yes—
615#392C2314yes—
616#391C2314yes—
617#391C2314yes—
618#391C2312yes—
619#391C2311yescharacteristic
620#391C2312yes—
621#391C2312yes—
622#391C2312yes—
623#391C2314yes—
624#391C2311yescharacteristic
625#391C2312yes—
626#391C2314yes—
627#391C2312yes—
628#391C2312yes—
629#391C2312yes—
630#391C2311yescharacteristic
631#391C2314yes—
632#391C2314yes—
633#391C2314yes—
634#391C2312yes—
635#391C2312yes—
636#391C2312yes—
637#391C2312yes—
638#391C2312yes—
639#391C2311yescharacteristic
640#390C2314yes—
641#390C2314yes—
642#390C2312yes—
643#390C2312yes—
644#390C2314yes—
645#390C2314yes—
646#390C2312yes—
647#390C2314yes—
648#390C2312yes—
649#390C2312yes—
650#390C2312yes—
651#390C2312yes—
652#390C2311yescharacteristic
653#390C2312yes—
654#390C2312yes—
655#390C2312yes—
656#390C2312yes—
657#390C2312yes—
658#390C2312yes—
659#390C2314yes—
660#390C2311yescharacteristic
661#390C2314yes—
662#390C2311yescharacteristic
663#390C2314yes—
664#390C2312yes—
665#390C2311yescharacteristic
666#390C2312yes—
667#390C2311yescharacteristic
668#390C2311yescharacteristic
669#390C2312yes—
670#390C2312yes—
671#390C2312yes—
672#389C2312yes—
673#389C2312yes—
674#389C2312yes—
675#389C2314yes—
676#389C2312yes—
677#389C2312yes—
678#389C2312yes—
679#389C2311yescharacteristic
680#389C2312yes—
681#389C2312yes—
682#389C2311yescharacteristic
683#389C2311yescharacteristic
684#389C2311yescharacteristic
685#389C2311yescharacteristic
686#389C2311yescharacteristic
687#388C2312yes—
688#388C2312yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2312yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2312yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2312yes—
709#388C2314yes—
710#388C2314yes—
711#388C2312yes—
712#388C2312yes—
713#388C2312yes—
714#388C2312yes—
715#388C2312yes—
716#388C2312yes—
717#388C2312yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2312yes—
725#387C2312yes—
726#387C2312yes—
727#387C2312yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2312yes—
737#386C2312yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2312yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2312yes—
756#386C2312yes—
757#386C2312yes—
758#386C2312yes—
759#386C2312yes—
760#386C2312yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2312yes—
765#386C2314yes—
766#386C2312yes—
767#386C2314yes—
768#386C2312yes—
769#386C2312yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2312yes—
778#385C2312yes—
779#385C2312yes—
780#384C2311yescharacteristic
781#382C2312yes—
782#382C2311yescharacteristic
783#382C2311yescharacteristic
784#381C2314yes—
785#381C2314yes—
786#381C2312yes—
787#380C2311yescharacteristic
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2314yes—
792#380C2314yes—
793#380C2312yes—
794#380C2314yes—
795#380C2312yes—
796#380C2311yescharacteristic
797#380C2312yes—
798#380C2314yes—
799#380C2314yes—
800#380C2312yes—
801#380C2312yes—
802#380C2311yescharacteristic
803#380C2311yescharacteristic
804#380C2312yes—
805#379C2314yes—
806#379C2314yes—
807#379C2314yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2314yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2314yes—
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2311yescharacteristic
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2311yescharacteristic
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2311yescharacteristic
847C4×C22⋊C4C2311yescharacteristic
848C4×C22⋊C4C2312yes—
849C4×C22⋊C4C2311yescharacteristic
850C43C2311yescharacteristic
851C25C2414yes—
8522−1+4—4128no—
853C2×#41—28no—
854C2×#41—24no—
855C2×#41—24no—
856C2×#41—216no—
857C2×#41—28no—
858C2×#41—216no—
859C2×#41—28no—
860C2×#41—216no—
861C2×#41—28no—
862C2×#41—28no—
863C2×#41—24no—
864C2×#41—28no—
865C2×#41—44no—
866C2×#41—48no—
867C2×#41—44no—
868C2×#41—44no—
869C2×#41—48no—
870C2×#41—48no—
871C2×#41—44no—
872C2×#41—44no—
873C2×#41—48no—
874C2×#41—48no—
875C2×#41—48no—
876C2×#41—44no—
877C2×#41—44no—
878C2×#41—44no—
879C2×#41—44no—
880C2×#41—44no—
881C2×#41—44no—
882C2×#41C2×D4116yes—
883C22×Q8—28no—
884C22×Q8—28no—
885C22×Q8—28no—
886C22×Q8—28no—
887C22×Q8—216no—
888C22×Q8—28no—
889C22×Q8—28no—
890C22×Q8—44no—
891C22×Q8—44no—
892C22×Q8—48no—
893C22×Q8—48no—
894C22×Q8—44no—
895C22×Q8C2411yescharacteristic
896C22×Q8C2412yes—
897C22×Q8C2414yes—
898C22×Q8C2414yes—
899C22×Q8C2414yes—
900C22×Q8C2412yes—
901C22×Q8C2412yes—
902C22×Q8C2411yescharacteristic
903C22×Q8C2412yes—
904C22×D4—28no—
905C22×D4—28no—
906C22×D4—44no—
907C22×D4—44no—
908C22×D4—44no—
909C22×D4—44no—
910C22×D4C2411yescharacteristic
911C22×D4C2412yes—
912C22×D4C2411yescharacteristic
913C22×D4C2412yes—
914C22×D4C2412yes—
915C22×D4C2412yes—
916C22×D4C2412yes—
917C22×D4C2412yes—
918C22×D4C2412yes—
919C22×D4C2411yescharacteristic
920C22×D4C2411yescharacteristic
921C22×D4C2411yescharacteristic
922C22×D4C2412yes—
923C22×D4C2412yes—
924C22×D4C2412yes—
925C22×D4C2412yes—
926C22×D4C2414yes—
927C22×D4C2414yes—
928C22×D4C2412yes—
929C22×D4C2412yes—
930C22×D4C2414yes—
931C22×D4C2414yes—
932C22×D4C2414yes—
933C22×D4C2414yes—
934C22×D4C2412yes—
935C22×D4C2414yes—
936C22×D4C2414yes—
937C22×D4C2412yes—
938C22×D4C2414yes—
939C22×D4C2414yes—
940C22×D4C2414yes—
941C23×C4C2411yescharacteristic
942C23×C4C2412yes—
943C23×C4C2412yes—
944C23×C4C2411yescharacteristic
945C23×C4C2412yes—
946C23×C4C2411yescharacteristic
947C23×C4C2414yes—
948C23×C4C2411yescharacteristic
949C23×C4C2412yes—
950C23×C4C2414yes—
951C23×C4C2414yes—
952C23×C4C2412yes—
953C23×C4C2412yes—
954C23×C4C2411yescharacteristic
955C23×C4C2414yes—
956C23×C4C2414yes—
957C23×C4C2414yes—
958C23×C4C2411yescharacteristic
959C23×C4C2412yes—
960C23×C4C2412yes—
961C23×C4C2414yes—
962C4⋊Q8—28no—
963C4⋊Q8—28no—
964C4⋊Q8—24no—
965C4⋊Q8—28no—
966C4⋊Q8—216no—
967C4⋊Q8—216no—
968C4⋊Q8—28no—
969C4⋊Q8—28no—
970C4⋊Q8—24no—
971C4⋊Q8—24no—
972C4⋊Q8C2×D418yes—
973#127—24no—
974#127—24no—
975#127—28no—
976#127—216no—
977#127—24no—
978#127—44no—
979#127—48no—
980#126—216no—
981#126—216no—
982#126—28no—
983#125—24no—
984#124—28no—
985#124—28no—
986#124—24no—
987#124—28no—
988#124—24no—
989#124—216no—
990#124—28no—
991#124—28no—
992#124—216no—
993#124—44no—
994#124—44no—
995#124—42no—
996#124—44no—
997#124—48no—
998#124—48no—
999#124—48no—
1000#124—48no—
1001#124—48no—
1002#123—216no—
1003#123—216no—
1004#123—216no—
1005#123—216no—
1006#123—28no—
1007#123—216no—
1008#123—216no—
1009#123—216no—
1010#123—44no—
1011#123—48no—
1012#123C2×D4132yes—
1013C22⋊Q8—28no—
1014C22⋊Q8—24no—
1015C22⋊Q8—28no—
1016C22⋊Q8—24no—
1017C22⋊Q8—28no—
1018C22⋊Q8—216no—
1019C22⋊Q8—216no—
1020C22⋊Q8—216no—
1021C22⋊Q8—28no—
1022C22⋊Q8—216no—
1023C22⋊Q8—216no—
1024C22⋊Q8—48no—
1025C22⋊Q8—48no—
1026C22⋊Q8—42no—
1027C22⋊Q8—44no—
1028C22⋊Q8C2×D4116yes—
1029#121—24no—
1030#121—24no—
1031#121—216no—
1032#121—24no—
1033#121—216no—
1034#121—28no—
1035#121—216no—
1036#121—28no—
1037#121—216no—
1038#121—216no—
1039#121—28no—
1040#121—24no—
1041#121—28no—
1042#121—28no—
1043#121—24no—
1044#121—24no—
1045#121—28no—
1046#121—28no—
1047#121—216no—
1048#121—28no—
1049#121—28no—
1050#121—216no—
1051#121—44no—
1052#121—48no—
1053#121—44no—
1054#121—44no—
1055#121—44no—
1056#121—42no—
1057#121—44no—
1058#121—44no—
1059#121—44no—
1060#121—48no—
1061#121C2×D4116yes—
1062#120—216no—
1063#120—216no—
1064#120—216no—
1065#120—216no—
1066#120—48no—
1067#120—48no—
1068#120—48no—
1069C4×Q8—28no—
1070C4×Q8—24no—
1071C4×Q8—24no—
1072C4×Q8—24no—
1073C4×Q8—44no—
1074C4×Q8—44no—
1075C4×D4—24no—
1076C4×D4—28no—
1077C4×D4—28no—
1078C4×D4—28no—
1079C4×D4—28no—
1080C4×D4—28no—
1081C4×D4—216no—
1082C4×D4—24no—
1083C4×D4—28no—
1084C4×D4—28no—
1085C4×D4—28no—
1086C4×D4—28no—
1087C4×D4—28no—
1088C4×D4—216no—
1089C4×D4—24no—
1090C4×D4—24no—
1091C4×D4—42no—
1092C4×D4—42no—
1093C4×D4—44no—
1094C4×D4—42no—
1095C4×D4—44no—
1096C4×D4—42no—
1097C4×D4—48no—
1098C4×D4—48no—
1099C4×D4C2×D418yes—
1100C4×D4C2×D418yes—
1101#117—28no—
1102#117—24no—
1103#117—28no—
1104#117—28no—
1105#117—44no—
1106#117—44no—
1107#117—44no—
1108C2×C4⋊C4—216no—
1109C2×C4⋊C4—28no—
1110C2×C4⋊C4—28no—
1111C2×C4⋊C4—28no—
1112C2×C4⋊C4C2×D4116yes—
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2411yescharacteristic
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2411yescharacteristic
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2411yescharacteristic
1160C2×C22⋊C4—216no—
1161C2×C22⋊C4—48no—
1162C2×C22⋊C4—48no—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2411yescharacteristic
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2411yescharacteristic
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2411yescharacteristic
1211C2×C22⋊C4C2411yescharacteristic
1212C2×C22⋊C4C2411yescharacteristic
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2412yes—
1241C2×C42—28no—
1242C2×C42—24no—
1243C2×C42—24no—
1244C2×C42—44no—
1245C2×C42C2411yescharacteristic
1246C2×C42C2411yescharacteristic
1247C2×C42C2412yes—
1248C2×C42C2411yescharacteristic
1249C2×C42C2412yes—
1250C2×C42C2414yes—
1251C2×C42C2412yes—
1252C2×C42C2411yescharacteristic
1253C2×C42C2412yes—
1254C2×C42C2412yes—
1255C2×C42C2411yescharacteristic
1256C2×C42C2411yescharacteristic
1257C2×C42C2411yescharacteristic
1258C2×C42C2411yescharacteristic
1259C2×C42C2412yes—
1260C2×C42C2411yescharacteristic
1261C2×C42C2411yescharacteristic
1262C2×C42C2414yes—
1263C2×C42C2414yes—
1264C2×C42C2414yes—
1265C2×C42C2414yes—
1266C2×C42C2411yescharacteristic
1267C2×C42C2412yes—
1268C2×C42C2412yes—
1269C2×C42C2411yescharacteristic
1270C2×C42C2411yescharacteristic
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2411yescharacteristic
1276#95C2412yes—
1277#95C2411yescharacteristic
1278#95C2414yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2411yescharacteristic
1282#95C2411yescharacteristic
1283#95C2411yescharacteristic
1284#95C2411yescharacteristic
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2414yes—
1292#95C2412yes—
1293#95C2414yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2414yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2414yes—
1302#95C2412yes—
1303#95C2414yes—
1304#95C2412yes—
1305#95C2412yes—
1306#95C2412yes—
1307#95C2414yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2414yes—
1311#95C2412yes—
1312#95C2412yes—
1313#95C2412yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2414yes—
1321C24—28no—
1322C24—44no—
1323C24—44no—
1324C24—44no—
1325C24—44no—
1326C24—44no—
1327C24—44no—
1328C24C2512yes—
1329C24C2514yes—
1330C24C2512yes—
1331C24C2511yescharacteristic
1332C24C2512yes—
1333C24C2512yes—
1334C24C2511yescharacteristic
1335#41—232no—
1336#41—432no—
1337#41—432no—
1338#41—464no—
1339#41—464no—
1340#41—464no—
1341#41—432no—
1342#41—816no—
1343#41—816no—
1344#41—816no—
1345C2×Q8—22no—
1346C2×Q8—22no—
1347C2×Q8—28no—
1348C2×Q8—28no—
1349C2×Q8—24no—
1350C2×Q8—28no—
1351C2×Q8—24no—
1352C2×Q8—24no—
1353C2×Q8—24no—
1354C2×Q8—24no—
1355C2×Q8—22no—
1356C2×Q8—28no—
1357C2×Q8—28no—
1358C2×Q8—24no—
1359C2×Q8—28no—
1360C2×Q8—24no—
1361C2×Q8—24no—
1362C2×Q8—22no—
1363C2×Q8—22no—
1364C2×Q8—44no—
1365C2×Q8—42no—
1366C2×Q8—44no—
1367C2×Q8—44no—
1368C2×Q8—42no—
1369C2×Q8—42no—
1370C2×Q8—432no—
1371C2×Q8—432no—
1372C2×Q8—464no—
1373C2×Q8—432no—
1374C2×Q8C22×D418yes—
1375C2×Q8H(5,𝔽2)14yes—
1376C2×D4—24no—
1377C2×D4—24no—
1378C2×D4—24no—
1379C2×D4—24no—
1380C2×D4—28no—
1381C2×D4—24no—
1382C2×D4—22no—
1383C2×D4—24no—
1384C2×D4—24no—
1385C2×D4—24no—
1386C2×D4—24no—
1387C2×D4—28no—
1388C2×D4—24no—
1389C2×D4—28no—
1390C2×D4—28no—
1391C2×D4—24no—
1392C2×D4—28no—
1393C2×D4—24no—
1394C2×D4—22no—
1395C2×D4—24no—
1396C2×D4—22no—
1397C2×D4—24no—
1398C2×D4—24no—
1399C2×D4—24no—
1400C2×D4—24no—
1401C2×D4—28no—
1402C2×D4—28no—
1403C2×D4—24no—
1404C2×D4—22no—
1405C2×D4—22no—
1406C2×D4—24no—
1407C2×D4—22no—
1408C2×D4—24no—
1409C2×D4—24no—
1410C2×D4—22no—
1411C2×D4—22no—
1412C2×D4—22no—
1413C2×D4—24no—
1414C2×D4—22no—
1415C2×D4—22no—
1416C2×D4—24no—
1417C2×D4—24no—
1418C2×D4—41no—
1419C2×D4—41no—
1420C2×D4—42no—
1421C2×D4—42no—
1422C2×D4—44no—
1423C2×D4—44no—
1424C2×D4—42no—
1425C2×D4—44no—
1426C2×D4—42no—
1427C2×D4—44no—
1428C2×D4—42no—
1429C2×D4—44no—
1430C2×D4—42no—
1431C2×D4—44no—
1432C2×D4—44no—
1433C2×D4—44no—
1434C2×D4—42no—
1435C2×D4—44no—
1436C2×D4—44no—
1437C2×D4—42no—
1438C2×D4—42no—
1439C2×D4—42no—
1440C2×D4—42no—
1441C2×D4—44no—
1442C2×D4—44no—
1443C2×D4—44no—
1444C2×D4—44no—
1445C2×D4—44no—
1446C2×D4—44no—
1447C2×D4—42no—
1448C2×D4—42no—
1449C2×D4—42no—
1450C2×D4—44no—
1451C2×D4—42no—
1452C2×D4—42no—
1453C2×D4—42no—
1454C2×D4—42no—
1455C2×D4—42no—
1456C2×D4—44no—
1457C2×D4—42no—
1458C2×D4—42no—
1459C2×D4—44no—
1460C2×D4—44no—
1461C2×D4—44no—
1462C2×D4—44no—
1463C2×D4—44no—
1464C2×D4—44no—
1465C2×D4—44no—
1466C2×D4—816no—
1467C2×D4—816no—
1468C2×D4C22×D414yes—
1469C2×D4C22×D414yes—
1470C2×D4C22×D4116yes—
1471C22×C4—24no—
1472C22×C4—22no—
1473C22×C4—24no—
1474C22×C4—24no—
1475C22×C4—24no—
1476C22×C4—24no—
1477C22×C4—22no—
1478C22×C4—24no—
1479C22×C4—24no—
1480C22×C4—24no—
1481C22×C4—28no—
1482C22×C4—28no—
1483C22×C4—28no—
1484C22×C4—22no—
1485C22×C4—22no—
1486C22×C4—22no—
1487C22×C4—22no—
1488C22×C4—28no—
1489C22×C4—24no—
1490C22×C4—28no—
1491C22×C4—24no—
1492C22×C4—28no—
1493C22×C4—22no—
1494C22×C4—22no—
1495C22×C4—28no—
1496C22×C4—24no—
1497C22×C4—24no—
1498C22×C4—22no—
1499C22×C4—22no—
1500C22×C4—22no—
1501C22×C4—24no—
1502C22×C4—22no—
1503C22×C4—24no—
1504C22×C4—22no—
1505C22×C4—24no—
1506C22×C4—22no—
1507C22×C4—28no—
1508C22×C4—28no—
1509C22×C4—41no—
1510C22×C4—42no—
1511C22×C4—44no—
1512C22×C4—44no—
1513C22×C4—44no—
1514C22×C4—44no—
1515C22×C4—44no—
1516C22×C4—44no—
1517C22×C4—44no—
1518C22×C4—42no—
1519C22×C4—42no—
1520C22×C4—44no—
1521C22×C4—44no—
1522C22×C4—41no—
1523C22×C4—42no—
1524C22×C4—42no—
1525C22×C4—42no—
1526C22×C4—41no—
1527C22×C4—42no—
1528C22×C4—44no—
1529C22×C4—44no—
1530C22×C4C22×D418yes—
1531C22×C4C22×D418yes—
1532C22×C4C22×D4116yes—
1533C22×C4H(5,𝔽2)14yes—
1534C22×C4C2512yes—
1535C22×C4C2511yescharacteristic
1536C22×C4C2511yescharacteristic
1537C22×C4C2512yes—
1538C22×C4C2512yes—
1539C22×C4C2512yes—
1540C22×C4C2511yescharacteristic
1541C22×C4C2514yes—
1542C22×C4C2512yes—
1543C22×C4C2512yes—
1544C22×C4C2512yes—
1545C22×C4C2511yescharacteristic
1546C22×C4C2511yescharacteristic
1547C22×C4C2511yescharacteristic
1548C22×C4C2512yes—
1549C22×C4C2514yes—
1550C22×C4C2512yes—
1551C22×C4C2511yescharacteristic
1552C22×C4C2511yescharacteristic
1553C22×C4C2511yescharacteristic
1554C22×C4C2512yes—
1555C22×C4C2512yes—
1556C22×C4C2514yes—
1557C22×C4C2511yescharacteristic
1558C22×C4C2512yes—
1559C22×C4C2511yescharacteristic
1560C22×C4C2511yescharacteristic
1561C22×C4C2511yescharacteristic
1562C4⋊C4—28no—
1563C4⋊C4—24no—
1564C4⋊C4—22no—
1565C4⋊C4—24no—
1566C4⋊C4—28no—
1567C4⋊C4—28no—
1568C4⋊C4—28no—
1569C4⋊C4—24no—
1570C4⋊C4—28no—
1571C4⋊C4—22no—
1572C4⋊C4—24no—
1573C4⋊C4—24no—
1574C4⋊C4—22no—
1575C4⋊C4—24no—
1576C4⋊C4—24no—
1577C4⋊C4—24no—
1578C4⋊C4—22no—
1579C4⋊C4—24no—
1580C4⋊C4—28no—
1581C4⋊C4—24no—
1582C4⋊C4—22no—
1583C4⋊C4—24no—
1584C4⋊C4—22no—
1585C4⋊C4—24no—
1586C4⋊C4—22no—
1587C4⋊C4—22no—
1588C4⋊C4—24no—
1589C4⋊C4—22no—
1590C4⋊C4—22no—
1591C4⋊C4—24no—
1592C4⋊C4—42no—
1593C4⋊C4—42no—
1594C4⋊C4—41no—
1595C4⋊C4—42no—
1596C4⋊C4—42no—
1597C4⋊C4—44no—
1598C4⋊C4—44no—
1599C4⋊C4—44no—
1600C4⋊C4—42no—
1601C4⋊C4—42no—
1602C4⋊C4—42no—
1603C4⋊C4—44no—
1604C4⋊C4C22×D418yes—
1605C4⋊C4C22×D418yes—
1606C4⋊C4C22×D414yes—
1607C4⋊C4C22×D4116yes—
1608C4⋊C4C22×D414yes—
1609C22⋊C4—24no—
1610C22⋊C4—24no—
1611C22⋊C4—24no—
1612C22⋊C4—24no—
1613C22⋊C4—24no—
1614C22⋊C4—24no—
1615C22⋊C4—28no—
1616C22⋊C4—22no—
1617C22⋊C4—24no—
1618C22⋊C4—28no—
1619C22⋊C4—24no—
1620C22⋊C4—28no—
1621C22⋊C4—24no—
1622C22⋊C4—28no—
1623C22⋊C4—28no—
1624C22⋊C4—28no—
1625C22⋊C4—28no—
1626C22⋊C4—24no—
1627C22⋊C4—28no—
1628C22⋊C4—24no—
1629C22⋊C4—24no—
1630C22⋊C4—28no—
1631C22⋊C4—24no—
1632C22⋊C4—24no—
1633C22⋊C4—28no—
1634C22⋊C4—28no—
1635C22⋊C4—22no—
1636C22⋊C4—24no—
1637C22⋊C4—28no—
1638C22⋊C4—24no—
1639C22⋊C4—22no—
1640C22⋊C4—24no—
1641C22⋊C4—28no—
1642C22⋊C4—44no—
1643C22⋊C4—44no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—42no—
1647C22⋊C4—42no—
1648C22⋊C4—42no—
1649C22⋊C4—44no—
1650C22⋊C4—42no—
1651C22⋊C4—42no—
1652C22⋊C4—42no—
1653C22⋊C4—42no—
1654C22⋊C4—42no—
1655C22⋊C4—44no—
1656C22⋊C4—44no—
1657C22⋊C4—42no—
1658C22⋊C4—42no—
1659C22⋊C4—41no—
1660C22⋊C4—41no—
1661C22⋊C4—42no—
1662C22⋊C4—42no—
1663C22⋊C4—41no—
1664C22⋊C4—42no—
1665C22⋊C4—44no—
1666C22⋊C4—42no—
1667C22⋊C4—44no—
1668C22⋊C4—44no—
1669C22⋊C4—44no—
1670C22⋊C4—42no—
1671C22⋊C4—44no—
1672C22⋊C4—44no—
1673C22⋊C4—42no—
1674C22⋊C4—44no—
1675C22⋊C4—44no—
1676C22⋊C4—44no—
1677C22⋊C4—42no—
1678C22⋊C4—42no—
1679C22⋊C4—42no—
1680C22⋊C4—44no—
1681C22⋊C4—44no—
1682C22⋊C4—42no—
1683C22⋊C4—42no—
1684C22⋊C4C22×D4116yes—
1685C22⋊C4C22×D418yes—
1686C22⋊C4C22×D418yes—
1687C42—22no—
1688C42—22no—
1689C42—22no—
1690C42—24no—
1691C42—22no—
1692C42—24no—
1693C42—22no—
1694C42—24no—
1695C42—22no—
1696C42—24no—
1697C42—28no—
1698C42—22no—
1699C42—24no—
1700C42—22no—
1701C42—22no—
1702C42—24no—
1703C42—22no—
1704C42—42no—
1705C42—42no—
1706C42—41no—
1707C42—44no—
1708C42—44no—
1709C42—41no—
1710C42—44no—
1711C42—44no—
1712C42C22×D414yes—
1713C23—21no—
1714C23—22no—
1715C23—22no—
1716C23—22no—
1717C23—22no—
1718C23—21no—
1719C23—21no—
1720C23—22no—
1721C23—22no—
1722C23—22no—
1723C23—22no—
1724C23—21no—
1725C23—21no—
1726C23—22no—
1727C23—22no—
1728C23—21no—
1729C23—22no—
1730C23—22no—
1731C23—22no—
1732C23—22no—
1733C23—24no—
1734C23—21no—
1735C23—22no—
1736C23—24no—
1737C23—21no—
1738C23—21no—
1739C23—24no—
1740C23—22no—
1741C23—22no—
1742C23—22no—
1743C23—24no—
1744C23—22no—
1745C23—21no—
1746C23—22no—
1747C23—21no—
1748C23—22no—
1749C23—24no—
1750C23—22no—
1751C23—22no—
1752C23—21no—
1753C23—22no—
1754C23—24no—
1755C23—21no—
1756C23—22no—
1757C23—24no—
1758C23—22no—
1759C23—88no—
1760C23—88no—
1761C23—88no—
1762C23—88no—
1763C23—88no—
1764C23—164no—
1765C23—164no—
1766C23C23×D414yes—
1767C23C23×D414yes—
1768C23C2×H(5,𝔽2)12yes—
1769C23C2611yescharacteristic
1770Q8—28no—
1771Q8—216no—
1772Q8—48no—
1773Q8—416no—
1774Q8—416no—
1775Q8—416no—
1776Q8—48no—
1777Q8—44no—
1778Q8—84no—
1779D4—216no—
1780D4—28no—
1781D4—28no—
1782D4—416no—
1783D4—48no—
1784D4—48no—
1785D4—48no—
1786D4—48no—
1787D4—44no—
1788D4—416no—
1789D4—44no—
1790D4—48no—
1791D4—44no—
1792D4—48no—
1793D4—84no—
1794D4—88no—
1795D4—88no—
1796D4—84no—
1797D4—84no—
1798D4—88no—
1799D4—84no—
1800D4—88no—
1801D4—84no—
1802D4—88no—
1803D4—84no—
1804D4—84no—
1805D4—88no—
1806D4—84no—
1807D4—88no—
1808D4—164no—
1809D4—164no—
1810C2×C4—216no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—24no—
1817C2×C4—24no—
1818C2×C4—21no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—21no—
1822C2×C4—22no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—216no—
1826C2×C4—28no—
1827C2×C4—216no—
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—22no—
1837C2×C4—24no—
1838C2×C4—21no—
1839C2×C4—22no—
1840C2×C4—21no—
1841C2×C4—21no—
1842C2×C4—22no—
1843C2×C4—21no—
1844C2×C4—22no—
1845C2×C4—24no—
1846C2×C4—22no—
1847C2×C4—21no—
1848C2×C4—22no—
1849C2×C4—24no—
1850C2×C4—22no—
1851C2×C4—24no—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—22no—
1857C2×C4—21no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—21no—
1861C2×C4—21no—
1862C2×C4—24no—
1863C2×C4—22no—
1864C2×C4—24no—
1865C2×C4—21no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—22no—
1869C2×C4—21no—
1870C2×C4—22no—
1871C2×C4—21no—
1872C2×C4—22no—
1873C2×C4—21no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—21no—
1877C2×C4—22no—
1878C2×C4—21no—
1879C2×C4—21no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—21no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—416no—
1886C2×C4—44no—
1887C2×C4—416no—
1888C2×C4—48no—
1889C2×C4—416no—
1890C2×C4—416no—
1891C2×C4—416no—
1892C2×C4—48no—
1893C2×C4—44no—
1894C2×C4—44no—
1895C2×C4—48no—
1896C2×C4—44no—
1897C2×C4—82no—
1898C2×C4—88no—
1899C2×C4—88no—
1900C2×C4—84no—
1901C2×C4—84no—
1902C2×C4C23×D412yes—
1903C2×C4C23×D414yes—
1904C2×C4C23×D418yes—
1905C2×C4C23×D414yes—
1906C2×C4C23×D412yes—
1907C2×C4C23×D412yes—
1908C2×C4C2×H(5,𝔽2)14yes—
1909C2×C4C2×H(5,𝔽2)12yes—
1910C2×C4C2×H(5,𝔽2)12yes—
1911C2×C4C2×H(5,𝔽2)12yes—
1912C2×C4#58512yes—
1913C2×C4#58512yes—
1914C2×C4#58512yes—
1915C22—24no—
1916C22—24no—
1917C22—24no—
1918C22—22no—
1919C22—24no—
1920C22—24no—
1921C22—24no—
1922C22—22no—
1923C22—22no—
1924C22—41no—
1925C22—42no—
1926C22—41no—
1927C22—42no—
1928C22—41no—
1929C22—42no—
1930C22—42no—
1931C22—42no—
1932C22—42no—
1933C22—41no—
1934C22—42no—
1935C22—42no—
1936C22—41no—
1937C22—42no—
1938C22—44no—
1939C22—42no—
1940C22—42no—
1941C22—41no—
1942C22—44no—
1943C22—42no—
1944C22—42no—
1945C22—41no—
1946C22—44no—
1947C22—42no—
1948C22—41no—
1949C22—42no—
1950C22—44no—
1951C22—42no—
1952C22—41no—
1953C22—44no—
1954C22—42no—
1955C22—42no—
1956C22—41no—
1957C22—42no—
1958C22—44no—
1959C22—42no—
1960C22—42no—
1961C22—42no—
1962C22—44no—
1963C22—41no—
1964C22—1616no—
1965C22C24×D411yescharacteristic
1966C22C22×H(5,𝔽2)11yescharacteristic
1967C22C22×H(5,𝔽2)11yescharacteristic
1968C22C2×#58511yescharacteristic
1969C22C2×#58511yescharacteristic
1970C22C2×#58511yescharacteristic
1971C222−1+611yescharacteristic
1972C4—22no—
1973C4—22no—
1974C4—22no—
1975C4—24no—
1976C4—24no—
1977C4—28no—
1978C4—24no—
1979C4—42no—
1980C4—41no—
1981C4—42no—
1982C4—42no—
1983C4—44no—
1984C4—41no—
1985C4—41no—
1986C4—42no—
1987C4—42no—
1988C4—41no—
1989C4—42no—
1990C4—41no—
1991C4—42no—
1992C4—41no—
1993C4—44no—
1994C4—42no—
1995C4—41no—
1996C4—41no—
1997C4—42no—
1998C4#348414yes—
1999C4#350014yes—
2000C2—44no—
2001C2—42no—
2002C2—44no—
2003C2—81no—
2004C2—82no—
2005C2—84no—
2006C2—82no—
2007C2C2×#348411yescharacteristic
2008C2C2×#350011yescharacteristic
2009C2#6283611yescharacteristic
2010C2#6292211yescharacteristic
2011C2#6293111yescharacteristic
2012C2#6300211yescharacteristic
2013C2#6302211yescharacteristic
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×#3499C2semidirect
2. C2×#3546C2semidirect
3. #59421C2semidirect
4. #59134C2semidirect
5. #59130C2semidirect
6. #59099C2semidirect
7. #59080C2semidirect
8. #51418C2semidirect
9. #47957C2semidirect
10. #46365C2semidirect
11. #45353C2semidirect
12. #45289C2semidirect
13. #45093C2semidirect
14. #44871C2semidirect
15. #43011C2semidirect
16. #42967C2semidirect
17. #42421C2semidirect
18. #39961C2semidirect
19. #39720C2semidirect
20. #39471C2semidirect
21. #39439C2semidirect
22. #39342C2semidirect
23. #38956C2semidirect
24. #38911C2semidirect
25. #37782C2semidirect
26. #36410C2semidirect
27. #36122C2semidirect
28. D4×#124C2semidirect
29. #35768C2semidirect
30. #35757C2semidirect
31. #35676C2semidirect
32. #35592C2semidirect
33. #34889C2semidirect
34. #34715C2semidirect
35. #34316C2semidirect
36. C22×2−1+4C22semidirect
45. C2×D4×Q8C22semidirect
46. C2×D4×Q8C22semidirect
47. C2×#548C22semidirect
48. C2×#548C22semidirect
51. C2×#547C22semidirect
52. C2×#547C22semidirect
53. C2×#547C22semidirect
54. C2×#547C22semidirect
61. C2×#536C22semidirect
62. C2×#536C22semidirect
70. C22×C4⋊Q8C22semidirect
71. C22×C4⋊Q8C22semidirect
74. C2×C4×#41C22semidirect
76. #2857C22semidirect
78. #2854C22semidirect
80. #2813C22semidirect
81. #2716C22semidirect
82. #2716C22semidirect
83. #2716C22semidirect
84. #2712C22semidirect
85. #2710C22semidirect
86. #2709C22semidirect
87. #2708C22semidirect
88. #2703C22semidirect
89. #2703C22semidirect
90. #2703C22semidirect
91. #2702C22semidirect
92. #2700C22semidirect
93. #2697C22semidirect
94. #2697C22semidirect
95. #2696C22semidirect
96. #2693C22semidirect
97. #2692C22semidirect
98. #2689C22semidirect
99. #2688C22semidirect
100. #2687C22semidirect
101. #2687C22semidirect
102. #2678C22semidirect
103. #2678C22semidirect
104. #2678C22semidirect
105. #2676C22semidirect
106. #2676C22semidirect
107. #2674C22semidirect
108. #2674C22semidirect
109. #2673C22semidirect
110. #2673C22semidirect
112. #2670C22semidirect
114. #2661C22semidirect
115. #2661C22semidirect
116. #2625C22semidirect
117. #2619C22semidirect
118. #2618C22semidirect
120. #2615C22semidirect
121. #2615C22semidirect
122. #2602C22semidirect
123. #2591C22semidirect
124. #2591C22semidirect
125. #2582C22semidirect
126. #2568C22semidirect
127. #2560C22semidirect
128. #2560C22semidirect
129. #2559C22semidirect
130. #2557C22semidirect
131. #2557C22semidirect
132. #2557C22semidirect
133. #2554C22semidirect
134. #2550C22semidirect
135. #2550C22semidirect
139. #2545C22semidirect
144. #2540C22semidirect
147. #2521C22semidirect
148. #2504C22semidirect
149. #2492C22semidirect
150. #2492C22semidirect
151. #2492C22semidirect
152. #2492C22semidirect
153. #2492C22semidirect
154. #2492C22semidirect
155. #2492C22semidirect
159. #2491C22semidirect
160. #2491C22semidirect
161. #2491C22semidirect
162. #2491C22semidirect
163. #2491C22semidirect
164. #2490C22semidirect
165. #2487C22semidirect
166. #2481C22semidirect
167. #2476C22semidirect
168. #2476C22semidirect
169. #2474C22semidirect
172. #2472C22semidirect
173. #2472C22semidirect
174. #2464C22semidirect
175. #2464C22semidirect
176. #2463C22semidirect
177. #2461C22semidirect
178. #2459C22semidirect
179. #2459C22semidirect
180. #2457C22semidirect
181. #2456C22semidirect
182. #2452C22semidirect
183. #2452C22semidirect
184. #2452C22semidirect
185. #2451C22semidirect
187. #2446C22semidirect
189. #2445C22semidirect
190. #2445C22semidirect
191. #2439C22semidirect
192. #2439C22semidirect
193. #2439C22semidirect
194. #2437C22semidirect
198. #2436C22semidirect
199. #2436C22semidirect
200. #2436C22semidirect
201. #2436C22semidirect
202. #2436C22semidirect
205. #2432C22semidirect
208. #2431C22semidirect
209. #2431C22semidirect
210. #2431C22semidirect
211. #2431C22semidirect
212. #2431C22semidirect
213. #2431C22semidirect
214. #2431C22semidirect
215. #2431C22semidirect
217. #2428C22semidirect
219. #2427C22semidirect
220. #2427C22semidirect
221. #2427C22semidirect
224. #2426C22semidirect
225. #2424C22semidirect
226. #2421C22semidirect
228. #2420C22semidirect
229. #2418C22semidirect
230. #2417C22semidirect
231. #2416C22semidirect
232. #2416C22semidirect
233. #2415C22semidirect
236. #2414C22semidirect
237. #2414C22semidirect
238. #2409C22semidirect
239. #2409C22semidirect
242. #2407C22semidirect
243. #2407C22semidirect
244. #2407C22semidirect
245. #2407C22semidirect
246. #2407C22semidirect
247. #2407C22semidirect
248. #2404C22semidirect
249. #2404C22semidirect
250. #2404C22semidirect
251. #2404C22semidirect
252. #2395C22semidirect
253. #2392C22semidirect
254. #2388C22semidirect
255. #2388C22semidirect
256. #2388C22semidirect
257. #2374C22semidirect
258. #2367C22semidirect
259. #2366C22semidirect
260. #2365C22semidirect
262. #2363C22semidirect
263. #2363C22semidirect
264. #2362C22semidirect
265. #2361C22semidirect
266. #2361C22semidirect
267. #2358C22semidirect
269. #2354C22semidirect
270. #2352C22semidirect
271. #2345C22semidirect
272. #2341C22semidirect
273. Q8×C22⋊C4C22semidirect
274. Q8×C22⋊C4C22semidirect
277. #2335C22semidirect
279. #2322C22semidirect
280. #2311C22semidirect
281. #2311C22semidirect
282. #2310C22semidirect
283. C4×C4⋊Q8C22semidirect
285. C4×#124C22semidirect
286. C4×C22⋊Q8C22semidirect
287. C4×C22⋊Q8C22semidirect
288. C4×C22⋊Q8C22semidirect
289. C4×#123C22semidirect
291. C4×#121C22semidirect
292. C4×#121C22semidirect
293. #2297C22semidirect
294. #2297C22semidirect
295. #2297C22semidirect
296. #2297C22semidirect
297. #2293C22semidirect
298. #2274C22semidirect
300. C42×D4C22semidirect
335. #547D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34992
C2×#35462
#594212
#591342
#591302
#590992
#590802
#514182
#479572
#463652
#453532
#452892
#450932
#448712
#430112
#429672
#424212
#399612
#397202
#394712
#394392
#393422
#389562
#389112
#377822
#364102
#361222
D4×#1242
#357682
#357572
#356762
#355922
#348892
#347152
#343162