Finite Group Databasebeta

← #7986717

Subgroups — #7986717

Order 512.

7154 conjugacy classes of subgroups.

The subgroup lattice has 1967 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3547C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic, complemented
3#59822C211yesmaximal, characteristic, complemented
4#59053C212yesmaximal, complemented
5#59050C211yesmaximal, characteristic, complemented
6#59050C211yesmaximal, characteristic, complemented
7#59001C212yesmaximal, complemented
8#51891C214yesmaximal, complemented
9#51778C214yesmaximal, complemented
10#45766C214yesmaximal, complemented
11#45265C212yesmaximal, complemented
12#45237C212yesmaximal, complemented
13#44980C212yesmaximal, complemented
14#44971C212yesmaximal, complemented
15#42677C212yesmaximal, complemented
16#42674C212yesmaximal, complemented
17#42438C212yesmaximal, complemented
18#42433C212yesmaximal, complemented
19#39471C211yesmaximal, characteristic, complemented
20#39167C211yesmaximal, characteristic, complemented
21#39136C211yesmaximal, characteristic, complemented
22#38951C211yesmaximal, characteristic, complemented
23#37797C214yesmaximal, complemented
24#37759C212yesmaximal, complemented
25#37659C212yesmaximal, complemented
26#36444C211yesmaximal, characteristic, complemented
27#36427C212yesmaximal, complemented
28#36411C212yesmaximal, complemented
29#36151C211yesmaximal, characteristic, complemented
30#36100C211yesmaximal, characteristic, complemented
31#35156C212yesmaximal, complemented
32#35150C212yesmaximal, complemented
33#34727C211yesmaximal, characteristic, complemented
34#34681C211yesmaximal, characteristic, complemented
35#34484C211yesmaximal, characteristic, complemented
36#3547—216no—
37C2×#562C2214yescomplemented
38#3475—216no—
39C2×#556C2211yescharacteristic
40C2×#555C2212yes—
41C2×#555C2211yescharacteristic
42C2×#555C2211yescharacteristic, complemented
43C2×#554C2211yescharacteristic
44C2×#553C2212yes—
45C2×#553C2212yescomplemented
46C2×#552C2212yes—
47C2×#552C2212yes—
48C2×#552C2212yescomplemented
49C2×#551C2214yes—
50C2×D4×Q8C2211yescharacteristic, complemented
51C2×#548C2212yes—
52C2×#548C2212yescomplemented
53C2×#547C2211yescharacteristic
54C2×#547C2211yescharacteristic
55C2×#546C2212yes—
56C2×#544C2212yescomplemented
57C2×#542C2214yescomplemented
58C2×#540C2212yes—
59C2×#537C2212yescomplemented
60C2×#536C2212yescomplemented
61C2×#533C2211yescharacteristic
62C2×#533C2211yescharacteristic, complemented
63C2×#532C2211yescharacteristic
64C2×#529C2212yes—
65C2×#529C2214yes—
66C2×#529C2211yescharacteristic, complemented
67C2×#525C2212yes—
68C2×#525C2212yes—
69C2×#525C2212yes—
70C2×C4×#41C2212yes—
71C2×C4×#41C2211yescharacteristic
72C22×C4×D4C2211yescharacteristic
73C22×#117C2212yes—
74#2862C2211yescharacteristic, complemented
75#2857C2211yescharacteristic
76#2857C2211yescharacteristic, complemented
77#2857C2212yescomplemented
78#2854C2214yescomplemented
79#2854C2214yescomplemented
80#2853C2214yescomplemented
81#2848C2212yes—
82#2815C2214yes—
83#2813C2214yes—
84#2733C2214yescomplemented
85#2730C2214yes—
86#2730C2214yescomplemented
87#2727C2214yescomplemented
88#2727C2214yescomplemented
89#2725C2214yescomplemented
90#2723C2214yescomplemented
91#2723C2214yescomplemented
92#2723C2214yescomplemented
93#2716C2214yescomplemented
94#2714C2214yescomplemented
95#2710C2214yes—
96#2710C2214yes—
97#2710C2214yescomplemented
98#2707C2214yescomplemented
99#2706C2214yes—
100#2706C2214yescomplemented
101#2706C2214yescomplemented
102#2705C2214yescomplemented
103#2705C2214yescomplemented
104#2703C2214yes—
105#2703C2214yescomplemented
106#2702C2214yescomplemented
107#2696C2214yescomplemented
108#2694C2214yescomplemented
109#2690C2214yescomplemented
110#2682C2214yes—
111#2678C2214yes—
112#2674C2214yes—
113#2673C2214yescomplemented
114#2670C2214yes—
115#2670C2214yes—
116#2669C2214yes—
117#2640C2212yes—
118#2635C2214yescomplemented
119#2630C2214yescomplemented
120#2624C2214yes—
121#2620C2212yes—
122#2620C2212yescomplemented
123#2619C2214yes—
124#2617C2214yes—
125#2617C2214yes—
126#2615C2212yescomplemented
127#2567C2212yescomplemented
128#2554C2214yescomplemented
129#2550C2214yescomplemented
130#2548C2214yescomplemented
131#2547C2212yes—
132#2547C2211yescharacteristic, complemented
133#2547C2211yescharacteristic, complemented
134#2544C2212yes—
135#2542C2211yescharacteristic
136#2542C2211yescharacteristic, complemented
137#2541C2212yes—
138#2541C2212yescomplemented
139#2540C2212yes—
140#2540C2212yes—
141#2540C2212yescomplemented
142#2540C2212yescomplemented
143#2538C2212yescomplemented
144#2538C2212yescomplemented
145#2537C2211yescharacteristic
146#2537C2212yes—
147#2537C2211yescharacteristic, complemented
148#2536C2212yes—
149#2502C2212yescomplemented
150#2492C2212yescomplemented
151#2490C2212yes—
152#2490C2212yescomplemented
153#2489C2212yes—
154#2489C2212yescomplemented
155#2487C2212yescomplemented
156#2485C2214yescomplemented
157#2482C2214yes—
158#2479C2214yes—
159#2479C2214yescomplemented
160#2479C2212yescomplemented
161#2476C2214yescomplemented
162#2475C2214yes—
163#2475C2214yescomplemented
164#2474C2214yescomplemented
165#2474C2214yescomplemented
166#2472C2212yes—
167#2471C2212yescomplemented
168#2470C2214yescomplemented
169#2467C2212yes—
170#2467C2214yescomplemented
171#2464C2212yes—
172#2463C2214yescomplemented
173#2461C2214yes—
174#2461C2212yes—
175#2461C2214yescomplemented
176#2461C2214yescomplemented
177#2456C2212yes—
178#2456C2214yes—
179#2456C2214yescomplemented
180#2456C2214yescomplemented
181#2455C2214yes—
182#2455C2214yescomplemented
183#2454C2214yescomplemented
184#2454C2211yescharacteristic, complemented
185#2453C2212yescomplemented
186#2453C2212yescomplemented
187#2452C2211yescharacteristic
188#2452C2214yescomplemented
189#2448C2214yescomplemented
190#2448C2214yescomplemented
191#2448C2211yescharacteristic, complemented
192#2445C2211yescharacteristic
193#2441C2211yescharacteristic
194#2441C2212yescomplemented
195#2441C2212yescomplemented
196#2441C2212yescomplemented
197#2440C2211yescharacteristic
198#2433C2211yescharacteristic
199#2431C2212yes—
200#2431C2211yescharacteristic
201#2431C2212yescomplemented
202#2428C2211yescharacteristic
203#2428C2211yescharacteristic, complemented
204#2427C2214yes—
205#2427C2212yescomplemented
206#2426C2212yescomplemented
207#2426C2212yescomplemented
208#2426C2212yescomplemented
209#2424C2212yes—
210#2423C2211yescharacteristic, complemented
211#2422C2212yes—
212#2422C2211yescharacteristic
213#2421C2212yes—
214#2421C2212yescomplemented
215#2418C2214yes—
216#2417C2212yescomplemented
217#2417C2212yescomplemented
218#2416C2211yescharacteristic
219#2415C2212yes—
220#2415C2212yes—
221#2415C2212yes—
222#2415C2212yes—
223#2415C2214yes—
224#2415C2212yes—
225#2415C2212yescomplemented
226#2415C2214yescomplemented
227#2415C2212yescomplemented
228#2415C2212yescomplemented
229#2415C2214yescomplemented
230#2414C2214yes—
231#2414C2211yescharacteristic
232#2414C2212yes—
233#2414C2212yes—
234#2414C2212yes—
235#2414C2212yescomplemented
236#2414C2212yescomplemented
237#2414C2214yescomplemented
238#2414C2214yescomplemented
239#2414C2212yescomplemented
240#2414C2212yescomplemented
241#2414C2212yescomplemented
242#2411C2214yes—
243#2409C2212yescomplemented
244#2409C2212yescomplemented
245#2408C2212yes—
246#2408C2211yescharacteristic
247#2407C2212yes—
248#2407C2211yescharacteristic
249#2407C2212yes—
250#2407C2212yes—
251#2407C2212yes—
252#2397C2212yes—
253#2392C2212yes—
254#2392C2212yes—
255#2388C2212yes—
256#2378C2214yescomplemented
257#2370C2212yescomplemented
258#2369C2211yescharacteristic, complemented
259#2366C2214yescomplemented
260#2362C2212yes—
261#2362C2212yescomplemented
262#2362C2212yescomplemented
263#2362C2212yescomplemented
264#2362C2212yescomplemented
265#2361C2212yes—
266#2354C2211yescharacteristic
267#2354C2212yes—
268#2354C2212yes—
269#2354C2212yescomplemented
270#2354C2212yescomplemented
271#2354C2212yescomplemented
272#2351C2212yescomplemented
273Q8×C4⋊C4C2211yescharacteristic, complemented
274D4×C4⋊C4C2212yes—
275#2344C2212yescomplemented
276Q8×C22⋊C4C2212yescomplemented
277#2330C2212yescomplemented
278#2326C2212yescomplemented
279#2323C2212yescomplemented
280#2323C2214yescomplemented
281#2323C2212yescomplemented
282#2319C2212yes—
283#2316C2212yescomplemented
284#2311C2212yescomplemented
285#2311C2212yescomplemented
286C4×C4⋊Q8C2211yescharacteristic, complemented
287C4×#127C2211yescharacteristic
288C4×#127C2211yescharacteristic, complemented
289C4×#121C2211yescharacteristic
290C4×#121C2211yescharacteristic
291C4×#121C2211yescharacteristic
292C4×#121C2211yescharacteristic, complemented
293C4×#121C2212yescomplemented
294C4×#121C2212yescomplemented
295C4×#120C2212yes—
296#2296C2214yescomplemented
297#2295C2211yescharacteristic, complemented
298#2293C2211yescharacteristic
299#2290C2212yescomplemented
300C42×D4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2312yes—
305C23×Q8C2312yes—
306C23×D4C2311yescharacteristic
307C24×C4C2312yes—
308#562—232no—
309#556—28no—
310#555—28no—
311#555—28no—
312#555—216no—
313#554D4116yescomplemented
314#553—216no—
315#553—216no—
316#552—216no—
317#552—216no—
318#552—216no—
319#551—232no—
320D4×Q8—28no—
321#548—216no—
322#548—48no—
323#547—28no—
324#547—28no—
325#546—216no—
326#544—216no—
327#542—232no—
328#540—216no—
329#537—216no—
330#536—216no—
331#533—28no—
332#533—28no—
333#532—28no—
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2314yes—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×#127C2311yescharacteristic
341C2×#127C2311yescharacteristic
342C2×#127C2311yescharacteristic
343C2×#127C2314yes—
344#529—216no—
345#529—232no—
346#529—28no—
347C2×#126C2314yes—
348C2×#126C2314yes—
349C2×#126C2314yes—
350C2×#126C2312yes—
351C2×#126C2314yes—
352C2×#125C2314yes—
353C2×#125C2311yescharacteristic
354C2×#125C2312yes—
355C2×#125C2312yes—
356C2×#125C2314yes—
357C2×#125C2312yes—
358C2×#124C2312yes—
359C2×#124C2314yes—
360C2×#124C2314yes—
361C2×#124C2314yes—
362C2×#124C2311yescharacteristic
363C2×#124C2312yes—
364C2×#124C2314yes—
365C2×#124C2312yes—
366C2×#124C2312yes—
367C2×#124C2314yes—
368#525—216no—
369#525—48no—
370#525—48no—
371C2×#123C2314yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2312yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2312yes—
382C2×#123C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2311yescharacteristic
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2314yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2314yes—
406C2×#121C2314yes—
407C2×#121C2314yes—
408C2×#121C2312yes—
409C2×#121C2314yes—
410C2×#121C2311yescharacteristic
411C2×#121C2312yes—
412C2×#121C2311yescharacteristic
413C2×#121C2312yes—
414C2×#121C2314yes—
415C2×#121C2312yes—
416C2×#121C2311yescharacteristic
417C2×#121C2314yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2311yescharacteristic
421C2×#121C2312yes—
422C2×#121C2311yescharacteristic
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2311yescharacteristic
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2314yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2311yescharacteristic
433C2×#120C2314yes—
434C2×#120C2314yes—
435C2×#120C2312yes—
436C2×#120C2312yes—
437C2×#120C2312yes—
438C4×#41—28no—
439C4×#41—216no—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2311yescharacteristic
449C2×C4×D4—28no—
450C2×C4×D4C2311yescharacteristic
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2311yescharacteristic
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2314yes—
458C2×C4×D4C2314yes—
459C2×C4×D4C2314yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2312yes—
466C2×C4×D4C2314yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2314yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2314yes—
478C2×C4×D4C2314yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2312yes—
483C2×C4×D4C2311yescharacteristic
484C2×#117—216no—
485C2×#117C2312yes—
486C2×#117C2312yes—
487C2×#117C2312yes—
488C2×#117C2312yes—
489C2×#117C2312yes—
490C2×#117C2312yes—
491C2×#117C2312yes—
492C2×#117C2314yes—
493C2×#117C2311yescharacteristic
494C2×#117C2314yes—
495C2×#117C2312yes—
496C2×#117C2314yes—
497C2×#117C2312yes—
498C2×#117C2314yes—
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2314yes—
502C22×C4⋊C4C2312yes—
503C22×C4⋊C4C2311yescharacteristic
504C22×C4⋊C4C2312yes—
505C22×C4⋊C4C2312yes—
506C22×C22⋊C4C2314yes—
507C22×C22⋊C4C2312yes—
508C22×C42C2314yes—
509C22×C42C2311yescharacteristic
510C22×C42C2312yes—
511C22×C42C2311yescharacteristic
512#400C2314yes—
513#400C2314yes—
514#400C2314yes—
515#399C2312yes—
516#399C2314yes—
517#399C2314yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2314yes—
522#399C2314yes—
523#399C2314yes—
524#399C2314yes—
525#398C2314yes—
526#398C2312yes—
527#398C2312yes—
528#398C2314yes—
529#398C2314yes—
530#397C2314yes—
531#397C2314yes—
532#397C2314yes—
533#397C2314yes—
534#397C2314yes—
535#397C2314yes—
536#397C2314yes—
537#397C2312yes—
538#397C2312yes—
539#397C2314yes—
540#397C2314yes—
541#397C2314yes—
542#397C2314yes—
543#396C2314yes—
544#396C2314yes—
545#396C2314yes—
546#396C2314yes—
547#396C2314yes—
548#396C2314yes—
549#396C2312yes—
550#396C2312yes—
551#396C2312yes—
552#396C2312yes—
553#396C2314yes—
554#396C2314yes—
555#395C2314yes—
556#395C2314yes—
557#395C2312yes—
558#394C2312yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2312yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2312yes—
573#394C2314yes—
574#394C2314yes—
575#394C2312yes—
576#394C2314yes—
577#394C2312yes—
578#394C2314yes—
579#394C2314yes—
580#394C2312yes—
581#394C2312yes—
582#394C2312yes—
583#394C2312yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#393C2314yes—
588#393C2314yes—
589#393C2314yes—
590#393C2312yes—
591#392C2314yes—
592#392C2314yes—
593#392C2314yes—
594#392C2312yes—
595#392C2314yes—
596#392C2314yes—
597#392C2314yes—
598#392C2312yes—
599#392C2314yes—
600#392C2314yes—
601#392C2314yes—
602#392C2314yes—
603#392C2314yes—
604#392C2312yes—
605#392C2312yes—
606#392C2312yes—
607#392C2312yes—
608#392C2312yes—
609#392C2312yes—
610#392C2312yes—
611#392C2314yes—
612#392C2314yes—
613#392C2314yes—
614#391C2312yes—
615#391C2312yes—
616#391C2312yes—
617#391C2314yes—
618#391C2312yes—
619#391C2312yes—
620#391C2311yescharacteristic
621#391C2312yes—
622#391C2314yes—
623#391C2312yes—
624#391C2312yes—
625#391C2314yes—
626#391C2314yes—
627#391C2312yes—
628#391C2311yescharacteristic
629#390C2311yescharacteristic
630#390C2311yescharacteristic
631#390C2312yes—
632#390C2312yes—
633#390C2311yescharacteristic
634#390C2311yescharacteristic
635#390C2312yes—
636#390C2312yes—
637#390C2312yes—
638#390C2314yes—
639#390C2311yescharacteristic
640#390C2312yes—
641#390C2312yes—
642#390C2314yes—
643#390C2314yes—
644#390C2314yes—
645#390C2311yescharacteristic
646#390C2314yes—
647#390C2314yes—
648#390C2314yes—
649#390C2314yes—
650#390C2312yes—
651#390C2314yes—
652#390C2314yes—
653#390C2311yescharacteristic
654#390C2314yes—
655#390C2314yes—
656#390C2314yes—
657#390C2314yes—
658#390C2311yescharacteristic
659#390C2311yescharacteristic
660#390C2314yes—
661#390C2311yescharacteristic
662#389C2312yes—
663#389C2312yes—
664#389C2314yes—
665#389C2314yes—
666#389C2311yescharacteristic
667#389C2314yes—
668#389C2312yes—
669#389C2312yes—
670#389C2314yes—
671#389C2312yes—
672#389C2314yes—
673#389C2311yescharacteristic
674#389C2314yes—
675#389C2314yes—
676#389C2311yescharacteristic
677#389C2314yes—
678#389C2314yes—
679#389C2314yes—
680#389C2311yescharacteristic
681#389C2312yes—
682#389C2312yes—
683#389C2311yescharacteristic
684#389C2312yes—
685#389C2312yes—
686#389C2314yes—
687#389C2314yes—
688#389C2311yescharacteristic
689#389C2314yes—
690#389C2311yescharacteristic
691#389C2311yescharacteristic
692#389C2312yes—
693#389C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2312yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2312yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2312yes—
724#388C2314yes—
725#388C2312yes—
726#388C2312yes—
727#388C2312yes—
728#388C2312yes—
729#388C2312yes—
730#388C2312yes—
731#388C2312yes—
732#387C2312yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2312yes—
739#387C2314yes—
740#387C2314yes—
741#387C2314yes—
742#387C2314yes—
743#387C2312yes—
744#387C2312yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2312yes—
750#386C2314yes—
751#386C2314yes—
752#386C2312yes—
753#386C2312yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2312yes—
758#386C2312yes—
759#386C2314yes—
760#386C2312yes—
761#386C2314yes—
762#386C2312yes—
763#386C2312yes—
764#386C2312yes—
765#386C2312yes—
766#386C2312yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2312yes—
775#385C2314yes—
776#385C2312yes—
777#385C2314yes—
778#385C2312yes—
779#385C2312yes—
780#385C2312yes—
781#384C2311yescharacteristic
782#384C2311yescharacteristic
783#384C2311yescharacteristic
784#384C2312yes—
785#384C2312yes—
786#384C2312yes—
787#382C2312yes—
788#382C2312yes—
789#382C2314yes—
790#381C2314yes—
791#380C2311yescharacteristic
792#380C2312yes—
793#380C2312yes—
794#380C2312yes—
795#380C2314yes—
796#380C2314yes—
797#380C2314yes—
798#380C2314yes—
799#380C2312yes—
800#380C2312yes—
801#380C2311yescharacteristic
802#380C2312yes—
803#380C2314yes—
804#380C2312yes—
805#380C2312yes—
806#380C2312yes—
807#380C2312yes—
808#380C2314yes—
809#380C2312yes—
810#380C2312yes—
811#380C2311yescharacteristic
812#380C2312yes—
813#380C2311yescharacteristic
814#380C2312yes—
815#379C2314yes—
816#379C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2314yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2314yes—
828C4×C4⋊C4C2314yes—
829C4×C4⋊C4C2311yescharacteristic
830C4×C4⋊C4C2314yes—
831C4×C4⋊C4C2314yes—
832C4×C4⋊C4C2311yescharacteristic
833C4×C4⋊C4C2311yescharacteristic
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2311yescharacteristic
845C4×C22⋊C4C2311yescharacteristic
846#376C2312yes—
847C43C2311yescharacteristic
848C25C2412yes—
849C2×#41—24no—
850C2×#41—28no—
851C2×#41—28no—
852C2×#41—28no—
853C2×#41—24no—
854C2×#41—44no—
855C2×#41—44no—
856C2×#41—42no—
857C2×#41—44no—
858C2×#41—44no—
859C2×#41—44no—
860C2×#41—44no—
861C22×Q8—28no—
862C22×Q8—44no—
863C22×Q8—44no—
864C22×Q8C2412yes—
865C22×Q8C2412yes—
866C22×Q8C2411yescharacteristic
867C22×Q8C2412yes—
868C22×Q8C2414yes—
869C22×Q8C2412yes—
870C22×D4—24no—
871C22×D4—42no—
872C22×D4—42no—
873C22×D4C2411yescharacteristic
874C22×D4C2411yescharacteristic
875C22×D4C2411yescharacteristic
876C22×D4C2411yescharacteristic
877C22×D4C2412yes—
878C22×D4C2411yescharacteristic
879C22×D4C2411yescharacteristic
880C22×D4C2412yes—
881C22×D4C2414yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2414yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2414yes—
889C22×D4C2412yes—
890C22×D4C2414yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2414yes—
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2414yes—
898C22×D4C2412yes—
899C22×D4C2412yes—
900C23×C4—28no—
901C23×C4—28no—
902C23×C4—44no—
903C23×C4C2412yes—
904C23×C4C2411yescharacteristic
905C23×C4C2411yescharacteristic
906C23×C4C2412yes—
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2411yescharacteristic
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2414yes—
918C23×C4C2414yes—
919C23×C4C2412yes—
920C23×C4C2414yes—
921C23×C4C2411yescharacteristic
922C23×C4C2414yes—
923C4⋊Q8—24no—
924C4⋊Q8—216no—
925C4⋊Q8—24no—
926C4⋊Q8—24no—
927C4⋊Q8—28no—
928C4⋊Q8C2×D418yes—
929#127—24no—
930#127—48no—
931#127—42no—
932#127—42no—
933#126—28no—
934#126—216no—
935#126—216no—
936#126—216no—
937#126—216no—
938#125—216no—
939#125—24no—
940#125—28no—
941#125—28no—
942#125—216no—
943#125C2×D4116yes—
944#124—24no—
945#124—216no—
946#124—216no—
947#124—28no—
948#124—216no—
949#124—216no—
950#124—28no—
951#124—44no—
952#124—44no—
953#124—48no—
954#123—216no—
955#123—216no—
956#123—216no—
957#123—28no—
958#123—216no—
959#123—216no—
960#123—216no—
961#123—216no—
962#123—216no—
963#123—44no—
964#123—44no—
965#123—48no—
966C22⋊Q8—28no—
967C22⋊Q8—24no—
968C22⋊Q8—28no—
969C22⋊Q8—28no—
970C22⋊Q8—28no—
971C22⋊Q8—28no—
972C22⋊Q8—28no—
973C22⋊Q8—28no—
974C22⋊Q8—28no—
975C22⋊Q8—216no—
976C22⋊Q8—28no—
977C22⋊Q8—216no—
978C22⋊Q8—216no—
979C22⋊Q8—44no—
980C22⋊Q8—44no—
981C22⋊Q8—48no—
982C22⋊Q8—44no—
983C22⋊Q8—44no—
984C22⋊Q8—44no—
985C22⋊Q8—44no—
986C22⋊Q8—44no—
987C22⋊Q8C2×D4116yes—
988C22⋊Q8C2×D4132yes—
989#121—24no—
990#121—28no—
991#121—28no—
992#121—216no—
993#121—216no—
994#121—216no—
995#121—24no—
996#121—28no—
997#121—24no—
998#121—28no—
999#121—24no—
1000#121—28no—
1001#121—216no—
1002#121—28no—
1003#121—28no—
1004#121—216no—
1005#121—44no—
1006#121—44no—
1007#121—48no—
1008#121—44no—
1009#121—44no—
1010#121—42no—
1011#121—42no—
1012#121—42no—
1013#121—44no—
1014#121—44no—
1015#121—44no—
1016#120—216no—
1017#120—44no—
1018#120—44no—
1019#120—44no—
1020#120—48no—
1021C4×Q8—24no—
1022C4×Q8—28no—
1023C4×Q8—28no—
1024C4×Q8—28no—
1025C4×Q8—28no—
1026C4×Q8—28no—
1027C4×Q8—44no—
1028C4×Q8—44no—
1029C4×Q8C2×D418yes—
1030C4×D4—24no—
1031C4×D4—28no—
1032C4×D4—216no—
1033C4×D4—28no—
1034C4×D4—24no—
1035C4×D4—28no—
1036C4×D4—24no—
1037C4×D4—28no—
1038C4×D4—24no—
1039C4×D4—216no—
1040C4×D4—216no—
1041C4×D4—28no—
1042C4×D4—216no—
1043C4×D4—24no—
1044C4×D4—28no—
1045C4×D4—24no—
1046C4×D4—24no—
1047C4×D4—28no—
1048C4×D4—24no—
1049C4×D4—28no—
1050C4×D4—42no—
1051C4×D4—44no—
1052C4×D4—42no—
1053C4×D4—44no—
1054C4×D4—44no—
1055C4×D4—44no—
1056C4×D4—44no—
1057C4×D4—44no—
1058C4×D4—44no—
1059C4×D4—48no—
1060C4×D4—48no—
1061C4×D4—48no—
1062C4×D4C2×D418yes—
1063C4×D4C2×D4116yes—
1064#117—216no—
1065#117—24no—
1066#117—28no—
1067#117—216no—
1068#117—216no—
1069#117—28no—
1070#117—28no—
1071#117—28no—
1072#117—28no—
1073#117—28no—
1074#117—28no—
1075#117—28no—
1076#117—216no—
1077#117—28no—
1078#117—44no—
1079#117—48no—
1080#117—44no—
1081C2×C4⋊C4—28no—
1082C2×C4⋊C4—24no—
1083C2×C4⋊C4—28no—
1084C2×C4⋊C4C2×D4116yes—
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2414yes—
1146C2×C22⋊C4—216no—
1147C2×C22⋊C4—28no—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2411yescharacteristic
1171C2×C22⋊C4C2411yescharacteristic
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2411yescharacteristic
1177C2×C22⋊C4C2411yescharacteristic
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2411yescharacteristic
1194C2×C22⋊C4C2411yescharacteristic
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2414yes—
1225C2×C42—216no—
1226C2×C42—24no—
1227C2×C42—28no—
1228C2×C42—24no—
1229C2×C42C2414yes—
1230C2×C42C2412yes—
1231C2×C42C2414yes—
1232C2×C42C2411yescharacteristic
1233C2×C42C2411yescharacteristic
1234C2×C42C2414yes—
1235C2×C42C2414yes—
1236C2×C42C2412yes—
1237C2×C42C2414yes—
1238C2×C42C2411yescharacteristic
1239C2×C42C2412yes—
1240C2×C42C2414yes—
1241C2×C42C2411yescharacteristic
1242C2×C42C2411yescharacteristic
1243C2×C42C2411yescharacteristic
1244C2×C42C2411yescharacteristic
1245C2×C42C2412yes—
1246C2×C42C2411yescharacteristic
1247C2×C42C2411yescharacteristic
1248C2×C42C2411yescharacteristic
1249C2×C42C2411yescharacteristic
1250C2×C42C2414yes—
1251C2×C42C2414yes—
1252C2×C42C2414yes—
1253C2×C42C2411yescharacteristic
1254C2×C42C2412yes—
1255C2×C42C2411yescharacteristic
1256#95C2412yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2411yescharacteristic
1261#95C2411yescharacteristic
1262#95C2411yescharacteristic
1263#95C2411yescharacteristic
1264#95C2411yescharacteristic
1265#95C2411yescharacteristic
1266#95C2412yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300C24—24no—
1301C24—24no—
1302C24—42no—
1303C24—42no—
1304C24—42no—
1305C24—42no—
1306C24—42no—
1307C24C2512yes—
1308C24C2511yescharacteristic
1309C24C2512yes—
1310C24C2512yes—
1311C24C2512yes—
1312C24C2512yes—
1313C24C2511yescharacteristic
1314#41—416no—
1315#41—432no—
1316#41—816no—
1317#41—816no—
1318C2×Q8—24no—
1319C2×Q8—24no—
1320C2×Q8—28no—
1321C2×Q8—24no—
1322C2×Q8—22no—
1323C2×Q8—24no—
1324C2×Q8—22no—
1325C2×Q8—24no—
1326C2×Q8—24no—
1327C2×Q8—24no—
1328C2×Q8—42no—
1329C2×Q8—42no—
1330C2×Q8—42no—
1331C2×Q8—44no—
1332C2×Q8—44no—
1333C2×Q8—42no—
1334C2×Q8—816no—
1335C2×Q8C22×D414yes—
1336C2×Q8C22×D418yes—
1337C2×D4—28no—
1338C2×D4—24no—
1339C2×D4—22no—
1340C2×D4—24no—
1341C2×D4—24no—
1342C2×D4—24no—
1343C2×D4—28no—
1344C2×D4—24no—
1345C2×D4—24no—
1346C2×D4—24no—
1347C2×D4—22no—
1348C2×D4—24no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—28no—
1353C2×D4—24no—
1354C2×D4—28no—
1355C2×D4—24no—
1356C2×D4—22no—
1357C2×D4—22no—
1358C2×D4—22no—
1359C2×D4—22no—
1360C2×D4—22no—
1361C2×D4—22no—
1362C2×D4—22no—
1363C2×D4—22no—
1364C2×D4—22no—
1365C2×D4—22no—
1366C2×D4—24no—
1367C2×D4—24no—
1368C2×D4—42no—
1369C2×D4—41no—
1370C2×D4—41no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—42no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—42no—
1378C2×D4—42no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—42no—
1382C2×D4—42no—
1383C2×D4—42no—
1384C2×D4—42no—
1385C2×D4—42no—
1386C2×D4—44no—
1387C2×D4—42no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—42no—
1391C2×D4—42no—
1392C2×D4—42no—
1393C2×D4—42no—
1394C2×D4—42no—
1395C2×D4—42no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—42no—
1401C2×D4—42no—
1402C2×D4—42no—
1403C2×D4—42no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—42no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—42no—
1410C2×D4—42no—
1411C2×D4—42no—
1412C2×D4—42no—
1413C2×D4—42no—
1414C2×D4—42no—
1415C2×D4—42no—
1416C2×D4—44no—
1417C2×D4—416no—
1418C2×D4C22×D414yes—
1419C22×C4—22no—
1420C22×C4—24no—
1421C22×C4—22no—
1422C22×C4—24no—
1423C22×C4—24no—
1424C22×C4—28no—
1425C22×C4—24no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—24no—
1429C22×C4—24no—
1430C22×C4—22no—
1431C22×C4—24no—
1432C22×C4—24no—
1433C22×C4—24no—
1434C22×C4—24no—
1435C22×C4—24no—
1436C22×C4—22no—
1437C22×C4—24no—
1438C22×C4—24no—
1439C22×C4—24no—
1440C22×C4—24no—
1441C22×C4—24no—
1442C22×C4—22no—
1443C22×C4—24no—
1444C22×C4—22no—
1445C22×C4—24no—
1446C22×C4—24no—
1447C22×C4—22no—
1448C22×C4—24no—
1449C22×C4—22no—
1450C22×C4—24no—
1451C22×C4—24no—
1452C22×C4—22no—
1453C22×C4—22no—
1454C22×C4—24no—
1455C22×C4—22no—
1456C22×C4—28no—
1457C22×C4—28no—
1458C22×C4—44no—
1459C22×C4—42no—
1460C22×C4—42no—
1461C22×C4—42no—
1462C22×C4—44no—
1463C22×C4—42no—
1464C22×C4—44no—
1465C22×C4—44no—
1466C22×C4—432no—
1467C22×C4—44no—
1468C22×C4—44no—
1469C22×C4—41no—
1470C22×C4—41no—
1471C22×C4—42no—
1472C22×C4—41no—
1473C22×C4—41no—
1474C22×C4—42no—
1475C22×C4—44no—
1476C22×C4—44no—
1477C22×C4C22×D418yes—
1478C22×C4C22×D4116yes—
1479C22×C4H(5,𝔽2)14yes—
1480C22×C4C2511yescharacteristic
1481C22×C4C2512yes—
1482C22×C4C2511yescharacteristic
1483C22×C4C2511yescharacteristic
1484C22×C4C2512yes—
1485C22×C4C2512yes—
1486C22×C4C2514yes—
1487C22×C4C2511yescharacteristic
1488C22×C4C2512yes—
1489C22×C4C2511yescharacteristic
1490C22×C4C2512yes—
1491C22×C4C2514yes—
1492C22×C4C2512yes—
1493C22×C4C2511yescharacteristic
1494C22×C4C2511yescharacteristic
1495C22×C4C2514yes—
1496C22×C4C2511yescharacteristic
1497C22×C4C2512yes—
1498C22×C4C2512yes—
1499C22×C4C2514yes—
1500C22×C4C2511yescharacteristic
1501C22×C4C2512yes—
1502C22×C4C2512yes—
1503C22×C4C2512yes—
1504C22×C4C2511yescharacteristic
1505C22×C4C2511yescharacteristic
1506C22×C4C2511yescharacteristic
1507C22×C4C2511yescharacteristic
1508C4⋊C4—22no—
1509C4⋊C4—22no—
1510C4⋊C4—24no—
1511C4⋊C4—28no—
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—28no—
1515C4⋊C4—22no—
1516C4⋊C4—22no—
1517C4⋊C4—24no—
1518C4⋊C4—28no—
1519C4⋊C4—28no—
1520C4⋊C4—24no—
1521C4⋊C4—28no—
1522C4⋊C4—24no—
1523C4⋊C4—24no—
1524C4⋊C4—24no—
1525C4⋊C4—28no—
1526C4⋊C4—28no—
1527C4⋊C4—28no—
1528C4⋊C4—24no—
1529C4⋊C4—24no—
1530C4⋊C4—22no—
1531C4⋊C4—24no—
1532C4⋊C4—24no—
1533C4⋊C4—22no—
1534C4⋊C4—28no—
1535C4⋊C4—24no—
1536C4⋊C4—24no—
1537C4⋊C4—22no—
1538C4⋊C4—22no—
1539C4⋊C4—22no—
1540C4⋊C4—42no—
1541C4⋊C4—44no—
1542C4⋊C4—44no—
1543C4⋊C4—42no—
1544C4⋊C4—42no—
1545C4⋊C4—42no—
1546C4⋊C4—42no—
1547C4⋊C4—42no—
1548C4⋊C4—41no—
1549C4⋊C4—42no—
1550C4⋊C4—42no—
1551C4⋊C4—41no—
1552C4⋊C4—42no—
1553C4⋊C4—42no—
1554C4⋊C4—44no—
1555C4⋊C4—44no—
1556C4⋊C4—42no—
1557C4⋊C4—44no—
1558C4⋊C4—44no—
1559C4⋊C4—44no—
1560C4⋊C4—44no—
1561C4⋊C4—44no—
1562C4⋊C4C22×D414yes—
1563C4⋊C4C22×D414yes—
1564C4⋊C4C22×D418yes—
1565C4⋊C4C22×D4116yes—
1566C4⋊C4C22×D418yes—
1567C4⋊C4C22×D418yes—
1568C4⋊C4C22×D4116yes—
1569C22⋊C4—24no—
1570C22⋊C4—24no—
1571C22⋊C4—28no—
1572C22⋊C4—22no—
1573C22⋊C4—24no—
1574C22⋊C4—28no—
1575C22⋊C4—24no—
1576C22⋊C4—28no—
1577C22⋊C4—28no—
1578C22⋊C4—28no—
1579C22⋊C4—24no—
1580C22⋊C4—24no—
1581C22⋊C4—24no—
1582C22⋊C4—28no—
1583C22⋊C4—24no—
1584C22⋊C4—24no—
1585C22⋊C4—24no—
1586C22⋊C4—28no—
1587C22⋊C4—28no—
1588C22⋊C4—28no—
1589C22⋊C4—24no—
1590C22⋊C4—24no—
1591C22⋊C4—28no—
1592C22⋊C4—28no—
1593C22⋊C4—24no—
1594C22⋊C4—28no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—22no—
1599C22⋊C4—24no—
1600C22⋊C4—24no—
1601C22⋊C4—22no—
1602C22⋊C4—22no—
1603C22⋊C4—42no—
1604C22⋊C4—42no—
1605C22⋊C4—42no—
1606C22⋊C4—44no—
1607C22⋊C4—42no—
1608C22⋊C4—42no—
1609C22⋊C4—44no—
1610C22⋊C4—42no—
1611C22⋊C4—42no—
1612C22⋊C4—42no—
1613C22⋊C4—42no—
1614C22⋊C4—42no—
1615C22⋊C4—42no—
1616C22⋊C4—42no—
1617C22⋊C4—42no—
1618C22⋊C4—42no—
1619C22⋊C4—42no—
1620C22⋊C4—41no—
1621C22⋊C4—41no—
1622C22⋊C4—42no—
1623C22⋊C4—42no—
1624C22⋊C4—44no—
1625C22⋊C4—42no—
1626C22⋊C4—42no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—42no—
1630C22⋊C4—42no—
1631C22⋊C4—42no—
1632C22⋊C4—42no—
1633C22⋊C4—42no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
1637C22⋊C4—44no—
1638C22⋊C4—44no—
1639C22⋊C4—44no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4—44no—
1643C22⋊C4—44no—
1644C22⋊C4C22×D418yes—
1645C22⋊C4C22×D4116yes—
1646C42—24no—
1647C42—22no—
1648C42—28no—
1649C42—28no—
1650C42—22no—
1651C42—24no—
1652C42—28no—
1653C42—22no—
1654C42—22no—
1655C42—22no—
1656C42—22no—
1657C42—28no—
1658C42—28no—
1659C42—22no—
1660C42—24no—
1661C42—28no—
1662C42—22no—
1663C42—24no—
1664C42—22no—
1665C42—22no—
1666C42—22no—
1667C42—41no—
1668C42—44no—
1669C42—44no—
1670C42—44no—
1671C42C22×D414yes—
1672C42C22×D418yes—
1673C23—21no—
1674C23—22no—
1675C23—22no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—22no—
1681C23—22no—
1682C23—22no—
1683C23—22no—
1684C23—21no—
1685C23—22no—
1686C23—22no—
1687C23—21no—
1688C23—22no—
1689C23—22no—
1690C23—21no—
1691C23—22no—
1692C23—22no—
1693C23—22no—
1694C23—22no—
1695C23—21no—
1696C23—21no—
1697C23—22no—
1698C23—22no—
1699C23—22no—
1700C23—22no—
1701C23—22no—
1702C23—22no—
1703C23—21no—
1704C23—22no—
1705C23—22no—
1706C23—22no—
1707C23—22no—
1708C23—22no—
1709C23—22no—
1710C23—22no—
1711C23—21no—
1712C23—22no—
1713C23—22no—
1714C23—22no—
1715C23—22no—
1716C23—22no—
1717C23—21no—
1718C23—22no—
1719C23—22no—
1720C23—48no—
1721C23—48no—
1722C23—84no—
1723C23—84no—
1724C23—84no—
1725C23—84no—
1726C23—84no—
1727C23C23×D414yes—
1728C23C2×H(5,𝔽2)12yes—
1729C23C2611yescharacteristic
1730Q8—28no—
1731Q8—48no—
1732Q8—48no—
1733Q8—48no—
1734Q8—88no—
1735Q8—84no—
1736D4—28no—
1737D4—48no—
1738D4—44no—
1739D4—48no—
1740D4—48no—
1741D4—416no—
1742D4—44no—
1743D4—44no—
1744D4—44no—
1745D4—44no—
1746D4—84no—
1747D4—88no—
1748D4—88no—
1749D4—84no—
1750D4—84no—
1751D4—84no—
1752D4—84no—
1753D4—84no—
1754D4—84no—
1755D4—84no—
1756D4—88no—
1757D4—88no—
1758D4—88no—
1759D4—84no—
1760D4—84no—
1761D4—84no—
1762D4—84no—
1763C2×C4—21no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—24no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—22no—
1771C2×C4—21no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—21no—
1775C2×C4—22no—
1776C2×C4—24no—
1777C2×C4—28no—
1778C2×C4—216no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—24no—
1785C2×C4—22no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—24no—
1790C2×C4—22no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—24no—
1796C2×C4—22no—
1797C2×C4—24no—
1798C2×C4—21no—
1799C2×C4—22no—
1800C2×C4—21no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—24no—
1807C2×C4—21no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—24no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—21no—
1820C2×C4—24no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—21no—
1824C2×C4—24no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—24no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—22no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—22no—
1836C2×C4—416no—
1837C2×C4—48no—
1838C2×C4—48no—
1839C2×C4—48no—
1840C2×C4—48no—
1841C2×C4—416no—
1842C2×C4—44no—
1843C2×C4—48no—
1844C2×C4—44no—
1845C2×C4—48no—
1846C2×C4—48no—
1847C2×C4—48no—
1848C2×C4—44no—
1849C2×C4—84no—
1850C2×C4—82no—
1851C2×C4—82no—
1852C2×C4—88no—
1853C2×C4—88no—
1854C2×C4C23×D418yes—
1855C2×C4C23×D414yes—
1856C2×C4C23×D412yes—
1857C2×C4C23×D414yes—
1858C2×C4C23×D414yes—
1859C2×C4C23×D412yes—
1860C2×C4C23×D412yes—
1861C2×C4C2×H(5,𝔽2)12yes—
1862C2×C4C2×H(5,𝔽2)12yes—
1863C2×C4#58512yes—
1864C2×C4#58512yes—
1865C2×C4#58512yes—
1866C2×C4#58512yes—
1867C22—24no—
1868C22—22no—
1869C22—24no—
1870C22—22no—
1871C22—24no—
1872C22—22no—
1873C22—41no—
1874C22—42no—
1875C22—42no—
1876C22—41no—
1877C22—41no—
1878C22—42no—
1879C22—42no—
1880C22—41no—
1881C22—41no—
1882C22—42no—
1883C22—42no—
1884C22—42no—
1885C22—42no—
1886C22—41no—
1887C22—42no—
1888C22—42no—
1889C22—42no—
1890C22—42no—
1891C22—42no—
1892C22—41no—
1893C22—42no—
1894C22—42no—
1895C22—42no—
1896C22—42no—
1897C22—41no—
1898C22—42no—
1899C22—42no—
1900C22—42no—
1901C22—42no—
1902C22—42no—
1903C22—42no—
1904C22—41no—
1905C22—42no—
1906C22—42no—
1907C22—41no—
1908C22—42no—
1909C22—42no—
1910C22—42no—
1911C22—42no—
1912C22—42no—
1913C22—41no—
1914C22—42no—
1915C22—42no—
1916C22—816no—
1917C22C24×D411yescharacteristic
1918C22C22×H(5,𝔽2)11yescharacteristic
1919C22C2×#58511yescharacteristic
1920C22C2×#58511yescharacteristic
1921C22C2×#58511yescharacteristic
1922C22C2×#58511yescharacteristic
1923C222−1+611yescharacteristic
1924C4—24no—
1925C4—28no—
1926C4—22no—
1927C4—22no—
1928C4—22no—
1929C4—24no—
1930C4—24no—
1931C4—41no—
1932C4—41no—
1933C4—41no—
1934C4—42no—
1935C4—44no—
1936C4—42no—
1937C4—41no—
1938C4—42no—
1939C4—42no—
1940C4—41no—
1941C4—44no—
1942C4—42no—
1943C4—41no—
1944C4—42no—
1945C4—44no—
1946C4—42no—
1947C4—42no—
1948C4—41no—
1949C4—41no—
1950C4#348714yes—
1951C4#348814yes—
1952C2—44no—
1953C2—42no—
1954C2—81no—
1955C2—82no—
1956C2—82no—
1957C2—82no—
1958C2—82no—
1959C2#6275911yescharacteristic
1960C2C2×#348711yescharacteristic
1961C2C2×#348811yescharacteristic
1962C2#6292511yescharacteristic
1963C2#6293611yescharacteristic
1964C2#6298811yescharacteristic
1965C2#6302811yescharacteristic
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×#3547C2semidirect
2. C2×#3475C2semidirect
3. #59822C2semidirect
4. #59053C2semidirect
5. #59050C2semidirect
6. #59050C2semidirect
7. #59001C2semidirect
8. #51891C2semidirect
9. #51778C2semidirect
10. #45766C2semidirect
11. #45265C2semidirect
12. #45237C2semidirect
13. #44980C2semidirect
14. #44971C2semidirect
15. #42677C2semidirect
16. #42674C2semidirect
17. #42438C2semidirect
18. #42433C2semidirect
19. #39471C2semidirect
20. #39167C2semidirect
21. #39136C2semidirect
22. #38951C2semidirect
23. #37797C2semidirect
24. #37759C2semidirect
25. #37659C2semidirect
26. #36444C2semidirect
27. #36427C2semidirect
28. #36411C2semidirect
29. #36151C2semidirect
30. #36100C2semidirect
31. #35156C2semidirect
32. #35150C2semidirect
33. #34727C2semidirect
34. #34681C2semidirect
35. #34484C2semidirect
37. C2×#562C22semidirect
42. C2×#555C22semidirect
45. C2×#553C22semidirect
48. C2×#552C22semidirect
50. C2×D4×Q8C22semidirect
52. C2×#548C22semidirect
56. C2×#544C22semidirect
57. C2×#542C22semidirect
59. C2×#537C22semidirect
60. C2×#536C22semidirect
62. C2×#533C22semidirect
66. C2×#529C22semidirect
74. #2862C22semidirect
76. #2857C22semidirect
77. #2857C22semidirect
78. #2854C22semidirect
79. #2854C22semidirect
80. #2853C22semidirect
84. #2733C22semidirect
86. #2730C22semidirect
87. #2727C22semidirect
88. #2727C22semidirect
89. #2725C22semidirect
90. #2723C22semidirect
91. #2723C22semidirect
92. #2723C22semidirect
93. #2716C22semidirect
94. #2714C22semidirect
97. #2710C22semidirect
98. #2707C22semidirect
100. #2706C22semidirect
101. #2706C22semidirect
102. #2705C22semidirect
103. #2705C22semidirect
105. #2703C22semidirect
106. #2702C22semidirect
107. #2696C22semidirect
108. #2694C22semidirect
109. #2690C22semidirect
113. #2673C22semidirect
118. #2635C22semidirect
119. #2630C22semidirect
122. #2620C22semidirect
126. #2615C22semidirect
127. #2567C22semidirect
128. #2554C22semidirect
129. #2550C22semidirect
130. #2548C22semidirect
132. #2547C22semidirect
133. #2547C22semidirect
136. #2542C22semidirect
138. #2541C22semidirect
141. #2540C22semidirect
142. #2540C22semidirect
143. #2538C22semidirect
144. #2538C22semidirect
147. #2537C22semidirect
149. #2502C22semidirect
150. #2492C22semidirect
152. #2490C22semidirect
154. #2489C22semidirect
155. #2487C22semidirect
156. #2485C22semidirect
159. #2479C22semidirect
160. #2479C22semidirect
161. #2476C22semidirect
163. #2475C22semidirect
164. #2474C22semidirect
165. #2474C22semidirect
167. #2471C22semidirect
168. #2470C22semidirect
170. #2467C22semidirect
172. #2463C22semidirect
175. #2461C22semidirect
176. #2461C22semidirect
179. #2456C22semidirect
180. #2456C22semidirect
182. #2455C22semidirect
183. #2454C22semidirect
184. #2454C22semidirect
185. #2453C22semidirect
186. #2453C22semidirect
188. #2452C22semidirect
189. #2448C22semidirect
190. #2448C22semidirect
191. #2448C22semidirect
194. #2441C22semidirect
195. #2441C22semidirect
196. #2441C22semidirect
201. #2431C22semidirect
203. #2428C22semidirect
205. #2427C22semidirect
206. #2426C22semidirect
207. #2426C22semidirect
208. #2426C22semidirect
210. #2423C22semidirect
214. #2421C22semidirect
216. #2417C22semidirect
217. #2417C22semidirect
225. #2415C22semidirect
226. #2415C22semidirect
227. #2415C22semidirect
228. #2415C22semidirect
229. #2415C22semidirect
235. #2414C22semidirect
236. #2414C22semidirect
237. #2414C22semidirect
238. #2414C22semidirect
239. #2414C22semidirect
240. #2414C22semidirect
241. #2414C22semidirect
243. #2409C22semidirect
244. #2409C22semidirect
256. #2378C22semidirect
257. #2370C22semidirect
258. #2369C22semidirect
259. #2366C22semidirect
261. #2362C22semidirect
262. #2362C22semidirect
263. #2362C22semidirect
264. #2362C22semidirect
269. #2354C22semidirect
270. #2354C22semidirect
271. #2354C22semidirect
272. #2351C22semidirect
273. Q8×C4⋊C4C22semidirect
275. #2344C22semidirect
276. Q8×C22⋊C4C22semidirect
277. #2330C22semidirect
278. #2326C22semidirect
279. #2323C22semidirect
280. #2323C22semidirect
281. #2323C22semidirect
283. #2316C22semidirect
284. #2311C22semidirect
285. #2311C22semidirect
286. C4×C4⋊Q8C22semidirect
288. C4×#127C22semidirect
292. C4×#121C22semidirect
293. C4×#121C22semidirect
294. C4×#121C22semidirect
296. #2296C22semidirect
297. #2295C22semidirect
299. #2290C22semidirect
313. #554D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35472
C2×#34752
#598222
#590532
#590502
#590012
#518912
#517782
#457662
#452652
#452372
#449802
#449712
#426772
#426742
#424382
#424332
#394712
#391672
#391362
#389512
#377972
#377592
#376592
#364442
#364272
#364112
#361512
#361002
#351562
#351502
#347272
#346812
#344842