Finite Group Databasebeta

← #7689999

Subgroups — #7689999

Order 512.

7786 conjugacy classes of subgroups.

The subgroup lattice has 2013 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3506C211yesmaximal, characteristic, complemented
2C2×#3483C211yesmaximal, characteristic, complemented
3#59659C211yesmaximal, characteristic, complemented
4#59145C214yesmaximal, complemented
5#59110C212yesmaximal, complemented
6#59097C212yesmaximal, complemented
7#59081C211yesmaximal, characteristic, complemented
8#59056C211yesmaximal, characteristic, complemented
9#59051C212yesmaximal, complemented
10#58999C212yesmaximal, complemented
11#45386C212yesmaximal, complemented
12#44886C212yesmaximal, complemented
13#44430C214yesmaximal, complemented
14#44275C214yesmaximal, complemented
15#39963C212yesmaximal, complemented
16#39886C212yesmaximal, complemented
17#39341C211yesmaximal, characteristic, complemented
18#38956C211yesmaximal, characteristic, complemented
19#37808C214yesmaximal, complemented
20#37782C212yesmaximal, complemented
21#36443C212yesmaximal, complemented
22#36442C212yesmaximal, complemented
23#36404C211yesmaximal, characteristic, complemented
24#36259C211yesmaximal, characteristic, complemented
25#36150C211yesmaximal, characteristic, complemented
26#36147C212yesmaximal, complemented
27#36125C211yesmaximal, characteristic, complemented
28#36101C211yesmaximal, characteristic, complemented
29#35830C212yesmaximal, complemented
30#35756C212yesmaximal, complemented
31#34743C212yesmaximal, complemented
32#34715C211yesmaximal, characteristic, complemented
33#34321C211yesmaximal, characteristic, complemented
34#34267C212yesmaximal, complemented
35C4×#546C211yesmaximal, characteristic, complemented
36#3506—216no—
37#3483—216no—
38C2×#559C2214yes—
39C2×Q82C2211yescharacteristic, complemented
40C2×#556C2212yes—
41C2×#555C2211yescharacteristic
42C2×#555C2211yescharacteristic
43C2×#555C2212yescomplemented
44C2×#555C2214yescomplemented
45C2×#555C2212yescomplemented
46C2×#553C2212yes—
47C2×#553C2212yes—
48C2×#550C2211yescharacteristic
49C2×#550C2212yes—
50C2×#550C2212yes—
51C2×#550C2211yescharacteristic, complemented
52C2×#550C2212yescomplemented
53C2×#547C2211yescharacteristic
54C2×#547C2211yescharacteristic
55C2×#547C2212yescomplemented
56C2×#546C2211yescharacteristic
57C2×#538C2214yes—
58C2×#537C2212yes—
59C2×#535C2212yes—
60C2×#533C2211yescharacteristic
61C2×#532C2211yescharacteristic
62C2×#532C2212yes—
63C2×#532C2214yescomplemented
64C2×#532C2212yescomplemented
65C2×#532C2211yescharacteristic, complemented
66C2×#532C2212yescomplemented
67C2×#525C2212yes—
68C2×#525C2212yes—
69C2×#525C2212yes—
70C2×#520C2212yes—
71C2×C4×#41C2211yescharacteristic
72C2×C4×#41C2212yescomplemented
73C2×C4×#41C2212yescomplemented
74C2×C4×#41C2211yescharacteristic, complemented
75C22×C4×D4C2211yescharacteristic
76#2858C2211yescharacteristic, complemented
77#2857C2211yescharacteristic, complemented
78#2856C2211yescharacteristic
79#2855C2212yescomplemented
80#2854C2212yes—
81#2852C2214yescomplemented
82#2850C2212yescomplemented
83#2847C2212yes—
84#2733C2214yescomplemented
85#2731C2214yescomplemented
86#2729C2214yes—
87#2715C2214yescomplemented
88#2712C2214yes—
89#2710C2214yescomplemented
90#2703C2214yescomplemented
91#2703C2214yescomplemented
92#2703C2214yescomplemented
93#2699C2214yescomplemented
94#2691C2214yescomplemented
95#2678C2214yes—
96#2676C2214yes—
97#2676C2214yescomplemented
98#2675C2214yes—
99#2673C2214yes—
100#2673C2214yes—
101#2673C2214yescomplemented
102#2670C2214yes—
103#2669C2214yes—
104#2669C2214yes—
105#2662C2214yescomplemented
106#2631C2214yes—
107#2619C2212yes—
108#2615C2212yes—
109#2601C2214yescomplemented
110#2601C2214yescomplemented
111#2599C2214yescomplemented
112#2598C2214yescomplemented
113#2592C2214yescomplemented
114#2568C2211yescharacteristic, complemented
115#2557C2214yescomplemented
116#2555C2214yescomplemented
117#2550C2212yescomplemented
118#2546C2211yescharacteristic, complemented
119#2545C2214yescomplemented
120#2544C2214yescomplemented
121#2541C2211yescharacteristic
122#2541C2214yes—
123#2541C2212yes—
124#2541C2211yescharacteristic, complemented
125#2541C2212yescomplemented
126#2541C2212yescomplemented
127#2540C2212yes—
128#2538C2211yescharacteristic
129#2538C2211yescharacteristic, complemented
130#2504C2212yescomplemented
131#2492C2212yes—
132#2491C2212yes—
133#2491C2212yescomplemented
134#2490C2212yescomplemented
135#2486C2212yescomplemented
136#2476C2212yes—
137#2474C2212yescomplemented
138#2470C2214yescomplemented
139#2468C2214yescomplemented
140#2466C2214yescomplemented
141#2464C2214yescomplemented
142#2464C2214yescomplemented
143#2464C2214yescomplemented
144#2464C2214yescomplemented
145#2461C2214yes—
146#2459C2214yes—
147#2459C2214yes—
148#2459C2212yescomplemented
149#2459C2214yescomplemented
150#2457C2214yescomplemented
151#2457C2214yescomplemented
152#2456C2214yes—
153#2456C2214yes—
154#2456C2212yes—
155#2456C2214yescomplemented
156#2456C2214yescomplemented
157#2455C2214yescomplemented
158#2454C2212yescomplemented
159#2453C2212yescomplemented
160#2452C2212yescomplemented
161#2451C2212yescomplemented
162#2451C2211yescharacteristic, complemented
163#2448C2212yescomplemented
164#2446C2214yescomplemented
165#2445C2212yes—
166#2445C2214yescomplemented
167#2445C2211yescharacteristic, complemented
168#2444C2214yescomplemented
169#2443C2214yescomplemented
170#2439C2212yes—
171#2439C2212yescomplemented
172#2439C2212yescomplemented
173#2439C2211yescharacteristic, complemented
174#2433C2212yes—
175#2432C2212yescomplemented
176#2431C2214yes—
177#2431C2212yes—
178#2431C2214yescomplemented
179#2431C2212yescomplemented
180#2431C2212yescomplemented
181#2431C2212yescomplemented
182#2431C2211yescharacteristic, complemented
183#2430C2214yescomplemented
184#2429C2212yes—
185#2429C2212yescomplemented
186#2428C2212yes—
187#2428C2212yes—
188#2428C2212yes—
189#2428C2212yes—
190#2428C2212yes—
191#2428C2214yescomplemented
192#2428C2212yescomplemented
193#2427C2212yes—
194#2427C2212yescomplemented
195#2427C2212yescomplemented
196#2426C2212yes—
197#2426C2212yes—
198#2426C2211yescharacteristic
199#2426C2212yescomplemented
200#2426C2212yescomplemented
201#2425C2214yescomplemented
202#2425C2214yescomplemented
203#2425C2214yescomplemented
204#2424C2214yes—
205#2424C2214yes—
206#2424C2214yes—
207#2424C2214yes—
208#2420C2211yescharacteristic
209#2420C2212yes—
210#2416C2212yes—
211#2416C2214yescomplemented
212#2416C2212yescomplemented
213#2415C2212yescomplemented
214#2415C2212yescomplemented
215#2414C2212yes—
216#2414C2212yes—
217#2414C2211yescharacteristic
218#2414C2212yescomplemented
219#2414C2212yescomplemented
220#2413C2214yescomplemented
221#2407C2212yes—
222#2407C2212yes—
223#2407C2212yes—
224#2407C2211yescharacteristic
225#2407C2212yescomplemented
226#2407C2212yescomplemented
227#2404C2214yes—
228#2392C2214yes—
229#2392C2212yescomplemented
230#2392C2214yescomplemented
231#2388C2212yes—
232#2369C2211yescharacteristic, complemented
233#2367C2211yescharacteristic
234#2367C2214yescomplemented
235#2367C2212yescomplemented
236#2366C2212yes—
237#2365C2212yescomplemented
238#2364C2212yes—
239#2364C2214yes—
240#2364C2214yescomplemented
241#2363C2212yes—
242#2363C2211yescharacteristic
243#2363C2212yescomplemented
244#2363C2212yescomplemented
245#2363C2212yescomplemented
246#2362C2212yes—
247#2362C2212yescomplemented
248#2362C2212yescomplemented
249#2361C2212yes—
250#2361C2212yes—
251#2361C2214yes—
252#2361C2212yescomplemented
253#2361C2212yescomplemented
254#2361C2214yescomplemented
255#2360C2211yescharacteristic
256#2360C2212yescomplemented
257#2359C2212yes—
258#2358C2212yes—
259#2354C2211yescharacteristic
260#2352C2211yescharacteristic
261#2352C2212yescomplemented
262#2349C2211yescharacteristic
263D4×C4⋊C4C2211yescharacteristic, complemented
264#2347C2212yescomplemented
265#2347C2212yescomplemented
266#2342C2212yes—
267#2341C2212yescomplemented
268#2339C2211yescharacteristic
269#2339C2214yescomplemented
270#2339C2212yescomplemented
271D4×C22⋊C4C2211yescharacteristic
272#2337C2214yescomplemented
273#2324C2212yes—
274#2324C2214yes—
275#2323C2214yescomplemented
276#2311C2212yescomplemented
277C4×C4⋊Q8C2211yescharacteristic, complemented
278C4×#124C2211yescharacteristic
279C4×#124C2211yescharacteristic, complemented
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2214yescomplemented
283C4×#123C2212yes—
284C4×#123C2212yescomplemented
285C4×#121C2212yes—
286C4×#121C2211yescharacteristic
287C4×#121C2214yes—
288C4×#121C2214yescomplemented
289C4×#121C2212yescomplemented
290C4×#121C2211yescharacteristic, complemented
291C4×#120C2212yes—
292#2297C2212yes—
293#2297C2212yescomplemented
294#2296C2212yescomplemented
295#2293C2211yescharacteristic, complemented
296C2×#389C2212yescomplemented
297#2274C2212yescomplemented
298C42×D4C2211yescharacteristic
299C42×D4C2211yescharacteristic
300C2×C4×C22⋊C4C2212yes—
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2312yes—
305C22×#41C2311yescharacteristic
306C22×#41C2312yes—
307C22×#41C2312yes—
308C22×#41C2314yes—
309C22×#41C2312yes—
310C23×D4C2311yescharacteristic
311C24×C4C2312yes—
312#559—232no—
313Q82—28no—
314#556—216no—
315#555—28no—
316#555—232no—
317#555—216no—
318#555—216no—
319#555D4116yescomplemented
320#553—216no—
321#553—216no—
322#550—216no—
323#550—216no—
324#550—216no—
325#550—28no—
326#550—28no—
327#547—28no—
328#547—28no—
329#547—48no—
330#546—28no—
331#538—232no—
332#537—216no—
333#535—216no—
334#533—28no—
335#532—28no—
336#532—232no—
337#532—216no—
338#532—216no—
339#532—28no—
340#532—48no—
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2314yes—
347C2×C4⋊Q8C2311yescharacteristic
348C2×#127C2311yescharacteristic
349C2×#127C2314yes—
350C2×#127C2314yes—
351C2×#127C2312yes—
352C2×#127C2311yescharacteristic
353C2×#127C2312yes—
354C2×#127C2312yes—
355C2×#127C2312yes—
356C2×#127C2314yes—
357C2×#126C2314yes—
358C2×#126C2314yes—
359C2×#125C2312yes—
360C2×#124C2314yes—
361C2×#124C2311yescharacteristic
362C2×#124C2314yes—
363C2×#124C2312yes—
364C2×#124C2311yescharacteristic
365C2×#124C2312yes—
366C2×#124C2314yes—
367C2×#124C2314yes—
368C2×#124C2314yes—
369C2×#124C2312yes—
370C2×#124C2312yes—
371C2×#124C2314yes—
372C2×#124C2314yes—
373#525—216no—
374#525—216no—
375#525—48no—
376C2×#123C2312yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2312yes—
385C2×C22⋊Q8C2314yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2311yescharacteristic
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2311yescharacteristic
395C2×#121C2314yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2314yes—
401C2×#121C2312yes—
402C2×#121C2314yes—
403C2×#121C2311yescharacteristic
404C2×#121C2312yes—
405C2×#121C2311yescharacteristic
406C2×#121C2312yes—
407C2×#121C2311yescharacteristic
408C2×#121C2312yes—
409C2×#121C2314yes—
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#121C2314yes—
413C2×#121C2314yes—
414C2×#121C2314yes—
415C2×#121C2312yes—
416C2×#121C2314yes—
417C2×#121C2314yes—
418C2×#121C2314yes—
419C2×#121C2312yes—
420C2×#121C2314yes—
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#121C2311yescharacteristic
425C2×#121C2312yes—
426C2×#121C2314yes—
427C2×#121C2314yes—
428C2×#121C2314yes—
429C2×#121C2314yes—
430C2×#121C2312yes—
431C2×#121C2314yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#120C2312yes—
435C2×#120C2314yes—
436C2×#120C2314yes—
437C2×#120C2314yes—
438C2×#120C2314yes—
439#520—216no—
440C4×#41—28no—
441C4×#41—28no—
442C4×#41—216no—
443C4×#41—216no—
444C2×C4×Q8C2311yescharacteristic
445C2×C4×Q8C2314yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2312yes—
454C2×C4×D4—28no—
455C2×C4×D4C2314yes—
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2314yes—
460C2×C4×D4C2314yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2314yes—
467C2×C4×D4C2314yes—
468C2×C4×D4C2314yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2312yes—
472C2×C4×D4C2314yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2312yes—
478C2×C4×D4C2314yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2314yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2314yes—
488C2×C4×D4C2314yes—
489C2×C4×D4C2314yes—
490C2×C4×D4C2314yes—
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2312yes—
493C2×C4×D4C2314yes—
494C2×C4×D4C2311yescharacteristic
495C2×C4×D4C2311yescharacteristic
496C2×#117C2314yes—
497C2×#117C2312yes—
498C2×#117C2314yes—
499C2×#117C2311yescharacteristic
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2312yes—
503C2×#117C2312yes—
504C2×#117C2311yescharacteristic
505C2×#117C2312yes—
506C2×#117C2312yes—
507C2×#117C2312yes—
508C2×#117C2312yes—
509C22×C4⋊C4C2312yes—
510C22×C4⋊C4C2312yes—
511C22×C4⋊C4C2311yescharacteristic
512C22×C4⋊C4C2312yes—
513C22×C4⋊C4C2314yes—
514C22×C22⋊C4C2312yes—
515C22×C22⋊C4C2312yes—
516C22×C22⋊C4C2312yes—
517C22×C42C2314yes—
518C22×C42C2312yes—
519C22×C42C2312yes—
520C22×C42C2311yescharacteristic
521C22×C42C2311yescharacteristic
522C22×C42C2312yes—
523#400C2314yes—
524#400C2314yes—
525#399C2314yes—
526#398C2314yes—
527#398C2312yes—
528#398C2314yes—
529#398C2314yes—
530#398C2314yes—
531#397C2314yes—
532#397C2314yes—
533#397C2314yes—
534#397C2312yes—
535#397C2314yes—
536#397C2314yes—
537#396C2314yes—
538#396C2314yes—
539#396C2314yes—
540#396C2314yes—
541#396C2314yes—
542#396C2314yes—
543#396C2312yes—
544#396C2312yes—
545#396C2314yes—
546#396C2314yes—
547#395C2312yes—
548#395C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2312yes—
554#394C2312yes—
555#394C2312yes—
556#394C2314yes—
557#394C2314yes—
558#394C2312yes—
559#394C2312yes—
560#394C2314yes—
561#394C2314yes—
562#394C2312yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#393C2312yes—
573#393C2314yes—
574#393C2314yes—
575#393C2314yes—
576#393C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2312yes—
584#392C2314yes—
585#392C2314yes—
586#392C2312yes—
587#392C2312yes—
588#392C2314yes—
589#392C2312yes—
590#392C2314yes—
591#392C2314yes—
592#392C2314yes—
593#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#392C2314yes—
597#392C2314yes—
598#392C2314yes—
599#392C2314yes—
600#392C2314yes—
601#391C2312yes—
602#391C2311yescharacteristic
603#391C2312yes—
604#391C2312yes—
605#391C2312yes—
606#391C2312yes—
607#391C2314yes—
608#391C2314yes—
609#391C2314yes—
610#391C2312yes—
611#391C2311yescharacteristic
612#391C2312yes—
613#391C2314yes—
614#391C2311yescharacteristic
615#391C2311yescharacteristic
616#391C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2314yes—
622#390C2314yes—
623#390C2314yes—
624#390C2314yes—
625#390C2314yes—
626#390C2311yescharacteristic
627#390C2311yescharacteristic
628#390C2312yes—
629#390C2312yes—
630#390C2312yes—
631#390C2314yes—
632#390C2312yes—
633#390C2312yes—
634#390C2312yes—
635#390C2314yes—
636#390C2314yes—
637#390C2312yes—
638#390C2312yes—
639#390C2312yes—
640#390C2311yescharacteristic
641#390C2312yes—
642#390C2311yescharacteristic
643#390C2311yescharacteristic
644#390C2312yes—
645#390C2314yes—
646#390C2311yescharacteristic
647#389C2312yes—
648#389C2312yes—
649#389C2312yes—
650#389C2314yes—
651#389C2314yes—
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2311yescharacteristic
656#389C2312yes—
657#389C2314yes—
658#389C2312yes—
659#389C2311yescharacteristic
660#389C2312yes—
661#389C2311yescharacteristic
662#389C2311yescharacteristic
663#389C2312yes—
664#389C2312yes—
665#389C2312yes—
666#389C2311yescharacteristic
667#389C2314yes—
668#389C2314yes—
669#389C2311yescharacteristic
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2312yes—
678#388C2314yes—
679#388C2314yes—
680#388C2312yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2312yes—
685#388C2314yes—
686#388C2314yes—
687#388C2312yes—
688#388C2312yes—
689#388C2312yes—
690#388C2312yes—
691#388C2312yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2312yes—
699#388C2314yes—
700#388C2314yes—
701#388C2312yes—
702#388C2312yes—
703#388C2312yes—
704#388C2312yes—
705#388C2312yes—
706#387C2314yes—
707#387C2314yes—
708#387C2312yes—
709#387C2314yes—
710#387C2314yes—
711#387C2312yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2312yes—
716#387C2312yes—
717#387C2312yes—
718#387C2312yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2312yes—
728#386C2312yes—
729#386C2314yes—
730#386C2314yes—
731#386C2312yes—
732#386C2312yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2312yes—
744#386C2314yes—
745#386C2312yes—
746#386C2312yes—
747#386C2312yes—
748#386C2314yes—
749#386C2312yes—
750#386C2314yes—
751#386C2312yes—
752#386C2312yes—
753#386C2314yes—
754#386C2312yes—
755#386C2314yes—
756#386C2314yes—
757#386C2312yes—
758#385C2312yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2312yes—
766#385C2312yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2312yes—
771#385C2312yes—
772#385C2314yes—
773#385C2312yes—
774#385C2312yes—
775#384C2311yescharacteristic
776#383C2314yes—
777#382C2312yes—
778#382C2311yescharacteristic
779#382C2311yescharacteristic
780#381C2312yes—
781#381C2312yes—
782#381C2314yes—
783#381C2314yes—
784#380C2314yes—
785#380C2314yes—
786#380C2312yes—
787#380C2311yescharacteristic
788#380C2312yes—
789#380C2312yes—
790#380C2311yescharacteristic
791#380C2311yescharacteristic
792#380C2314yes—
793#380C2312yes—
794#380C2312yes—
795#380C2312yes—
796#380C2312yes—
797#380C2311yescharacteristic
798#379C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2314yes—
803C4×C4⋊C4C2314yes—
804C4×C4⋊C4C2314yes—
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2314yes—
814C4×C4⋊C4C2314yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2311yescharacteristic
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2314yes—
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2311yescharacteristic
822C4×C22⋊C4C2314yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2311yescharacteristic
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2311yescharacteristic
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C2×#95C2312yes—
847C2×#95C2312yes—
848C2×#95C2314yes—
849C43C2311yescharacteristic
850C25C2412yes—
851C2×#41—28no—
852C2×#41—28no—
853C2×#41—24no—
854C2×#41—28no—
855C2×#41—24no—
856C2×#41—24no—
857C2×#41—24no—
858C2×#41—28no—
859C2×#41—216no—
860C2×#41—28no—
861C2×#41—28no—
862C2×#41—28no—
863C2×#41—28no—
864C2×#41—28no—
865C2×#41—44no—
866C2×#41—48no—
867C2×#41—44no—
868C2×#41—44no—
869C2×#41—44no—
870C2×#41—42no—
871C2×#41—42no—
872C2×#41—44no—
873C2×#41—44no—
874C2×#41—44no—
875C2×#41—44no—
876C2×#41—84no—
877C2×#41—82no—
878C22×Q8C2412yes—
879C22×Q8C2412yes—
880C22×Q8C2411yescharacteristic
881C22×Q8C2411yescharacteristic
882C22×Q8C2414yes—
883C22×Q8C2412yes—
884C22×D4—24no—
885C22×D4—24no—
886C22×D4—42no—
887C22×D4C2412yes—
888C22×D4C2411yescharacteristic
889C22×D4C2412yes—
890C22×D4C2411yescharacteristic
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2414yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2414yes—
897C22×D4C2412yes—
898C22×D4C2412yes—
899C22×D4C2411yescharacteristic
900C22×D4C2411yescharacteristic
901C22×D4C2411yescharacteristic
902C22×D4C2414yes—
903C22×D4C2414yes—
904C22×D4C2412yes—
905C22×D4C2412yes—
906C22×D4C2414yes—
907C22×D4C2414yes—
908C22×D4C2414yes—
909C22×D4C2414yes—
910C22×D4C2414yes—
911C22×D4C2412yes—
912C22×D4C2414yes—
913C22×D4C2414yes—
914C22×D4C2414yes—
915C22×D4C2412yes—
916C22×D4C2414yes—
917C22×D4C2414yes—
918C23×C4—28no—
919C23×C4—44no—
920C23×C4—44no—
921C23×C4C2412yes—
922C23×C4C2411yescharacteristic
923C23×C4C2411yescharacteristic
924C23×C4C2412yes—
925C23×C4C2411yescharacteristic
926C23×C4C2412yes—
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2414yes—
930C23×C4C2414yes—
931C23×C4C2411yescharacteristic
932C23×C4C2414yes—
933C23×C4C2412yes—
934C23×C4C2412yes—
935C23×C4C2412yes—
936C23×C4C2411yescharacteristic
937C23×C4C2411yescharacteristic
938C23×C4C2412yes—
939C23×C4C2412yes—
940C23×C4C2414yes—
941C23×C4C2414yes—
942C23×C4C2414yes—
943C23×C4C2412yes—
944C23×C4C2412yes—
945C23×C4C2412yes—
946C4⋊Q8—216no—
947C4⋊Q8—28no—
948C4⋊Q8—28no—
949C4⋊Q8—28no—
950C4⋊Q8—24no—
951C4⋊Q8—24no—
952C4⋊Q8C2×D418yes—
953#127—216no—
954#127—28no—
955#127—28no—
956#127—24no—
957#127—216no—
958#127—24no—
959#127—44no—
960#127—44no—
961#127—84no—
962#126—216no—
963#126—216no—
964#125—28no—
965#124—28no—
966#124—216no—
967#124—24no—
968#124—24no—
969#124—216no—
970#124—216no—
971#124—28no—
972#124—216no—
973#124—216no—
974#124—44no—
975#124—44no—
976#124—84no—
977#124C2×D4132yes—
978#123—28no—
979#123—216no—
980#123—216no—
981#123—216no—
982#123—216no—
983#123—44no—
984#123—48no—
985#123—48no—
986#123—48no—
987C22⋊Q8—28no—
988C22⋊Q8—28no—
989C22⋊Q8—24no—
990C22⋊Q8—28no—
991C22⋊Q8—28no—
992C22⋊Q8—28no—
993C22⋊Q8—28no—
994C22⋊Q8—216no—
995C22⋊Q8—44no—
996C22⋊Q8#4118yescomplemented
997#121—24no—
998#121—216no—
999#121—216no—
1000#121—28no—
1001#121—216no—
1002#121—28no—
1003#121—28no—
1004#121—28no—
1005#121—28no—
1006#121—24no—
1007#121—28no—
1008#121—28no—
1009#121—28no—
1010#121—28no—
1011#121—28no—
1012#121—216no—
1013#121—24no—
1014#121—28no—
1015#121—28no—
1016#121—216no—
1017#121—216no—
1018#121—216no—
1019#121—216no—
1020#121—216no—
1021#121—216no—
1022#121—216no—
1023#121—48no—
1024#121—48no—
1025#121—48no—
1026#121—48no—
1027#121—44no—
1028#121—42no—
1029#121—44no—
1030#121—44no—
1031#121—44no—
1032#121—82no—
1033#121—84no—
1034#121C2×D4116yes—
1035#121C2×D4116yes—
1036#120—216no—
1037#120—216no—
1038#120—28no—
1039#120—48no—
1040#120—84no—
1041C4×Q8—28no—
1042C4×Q8—24no—
1043C4×Q8—24no—
1044C4×Q8—28no—
1045C4×Q8—28no—
1046C4×Q8—28no—
1047C4×Q8—24no—
1048C4×Q8—24no—
1049C4×Q8—216no—
1050C4×Q8—82no—
1051C4×D4—24no—
1052C4×D4—24no—
1053C4×D4—24no—
1054C4×D4—216no—
1055C4×D4—28no—
1056C4×D4—28no—
1057C4×D4—28no—
1058C4×D4—28no—
1059C4×D4—24no—
1060C4×D4—24no—
1061C4×D4—28no—
1062C4×D4—28no—
1063C4×D4—28no—
1064C4×D4—28no—
1065C4×D4—24no—
1066C4×D4—28no—
1067C4×D4—28no—
1068C4×D4—28no—
1069C4×D4—216no—
1070C4×D4—216no—
1071C4×D4—216no—
1072C4×D4—216no—
1073C4×D4—216no—
1074C4×D4—216no—
1075C4×D4—24no—
1076C4×D4—216no—
1077C4×D4—216no—
1078C4×D4—24no—
1079C4×D4—42no—
1080C4×D4—44no—
1081C4×D4—44no—
1082C4×D4—42no—
1083C4×D4—44no—
1084C4×D4—42no—
1085C4×D4—48no—
1086C4×D4—48no—
1087C4×D4—48no—
1088C4×D4—48no—
1089C4×D4—84no—
1090C4×D4C2×D418yes—
1091C4×D4C2×D418yes—
1092#117—24no—
1093#117—24no—
1094#117—28no—
1095#117—28no—
1096#117—28no—
1097#117—28no—
1098#117—28no—
1099#117—216no—
1100#117—216no—
1101#117—44no—
1102#117—44no—
1103#117C2×D4116yes—
1104#117C2×D4116yes—
1105C2×C4⋊C4—28no—
1106C2×C4⋊C4—24no—
1107C2×C4⋊C4—28no—
1108C2×C4⋊C4—28no—
1109C2×C4⋊C4—48no—
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2411yescharacteristic
1153C2×C4⋊C4C2411yescharacteristic
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2411yescharacteristic
1157C2×C4⋊C4C2412yes—
1158C2×C22⋊C4—28no—
1159C2×C22⋊C4—28no—
1160C2×C22⋊C4—44no—
1161C2×C22⋊C4C2411yescharacteristic
1162C2×C22⋊C4C2411yescharacteristic
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2411yescharacteristic
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2411yescharacteristic
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2411yescharacteristic
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2411yescharacteristic
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C42—28no—
1236C2×C42—28no—
1237C2×C42—24no—
1238C2×C42—24no—
1239C2×C42—216no—
1240C2×C42—44no—
1241C2×C42C2412yes—
1242C2×C42C2411yescharacteristic
1243C2×C42C2412yes—
1244C2×C42C2414yes—
1245C2×C42C2411yescharacteristic
1246C2×C42C2414yes—
1247C2×C42C2412yes—
1248C2×C42C2411yescharacteristic
1249C2×C42C2412yes—
1250C2×C42C2411yescharacteristic
1251C2×C42C2411yescharacteristic
1252C2×C42C2412yes—
1253C2×C42C2411yescharacteristic
1254C2×C42C2412yes—
1255C2×C42C2412yes—
1256C2×C42C2411yescharacteristic
1257C2×C42C2414yes—
1258C2×C42C2411yescharacteristic
1259C2×C42C2412yes—
1260C2×C42C2411yescharacteristic
1261C2×C42C2411yescharacteristic
1262C2×C42C2414yes—
1263C2×C42C2412yes—
1264C2×C42C2412yes—
1265C2×C42C2414yes—
1266C2×C42C2411yescharacteristic
1267C2×C42C2411yescharacteristic
1268C2×C42C2414yes—
1269C2×C42C2414yes—
1270C2×C42C2411yescharacteristic
1271#95C2412yes—
1272#95C2411yescharacteristic
1273#95C2411yescharacteristic
1274#95C2414yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2411yescharacteristic
1283#95C2412yes—
1284#95C2412yes—
1285#95C2411yescharacteristic
1286#95C2411yescharacteristic
1287#95C2412yes—
1288#95C2412yes—
1289#95C2411yescharacteristic
1290#95C2412yes—
1291#95C2414yes—
1292#95C2412yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2412yes—
1299#95C2414yes—
1300#95C2412yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2414yes—
1304#95C2412yes—
1305#95C2412yes—
1306#95C2412yes—
1307#95C2412yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2412yes—
1311#95C2412yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2412yes—
1315#95C2412yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319C24—24no—
1320C24—24no—
1321C24—42no—
1322C24—42no—
1323C24—42no—
1324C24—42no—
1325C24—42no—
1326C24C2512yes—
1327C24C2512yes—
1328C24C2514yes—
1329C24C2511yescharacteristic
1330C24C2512yes—
1331C24C2512yes—
1332C24C2511yescharacteristic
1333#41—432no—
1334#41—432no—
1335#41—432no—
1336#41—416no—
1337#41—416no—
1338#41—816no—
1339#41—832no—
1340#41—816no—
1341#41—816no—
1342C2×Q8—22no—
1343C2×Q8—22no—
1344C2×Q8—24no—
1345C2×Q8—24no—
1346C2×Q8—28no—
1347C2×Q8—24no—
1348C2×Q8—24no—
1349C2×Q8—22no—
1350C2×Q8—22no—
1351C2×Q8—24no—
1352C2×Q8—42no—
1353C2×Q8—42no—
1354C2×Q8—42no—
1355C2×Q8—44no—
1356C2×Q8—44no—
1357C2×Q8C22×D418yes—
1358C2×Q8C2×#4114yes—
1359C2×Q8H(5,𝔽2)14yes—
1360C2×D4—24no—
1361C2×D4—24no—
1362C2×D4—28no—
1363C2×D4—24no—
1364C2×D4—28no—
1365C2×D4—24no—
1366C2×D4—24no—
1367C2×D4—22no—
1368C2×D4—24no—
1369C2×D4—24no—
1370C2×D4—24no—
1371C2×D4—28no—
1372C2×D4—28no—
1373C2×D4—28no—
1374C2×D4—28no—
1375C2×D4—28no—
1376C2×D4—24no—
1377C2×D4—22no—
1378C2×D4—24no—
1379C2×D4—24no—
1380C2×D4—22no—
1381C2×D4—28no—
1382C2×D4—28no—
1383C2×D4—24no—
1384C2×D4—22no—
1385C2×D4—24no—
1386C2×D4—24no—
1387C2×D4—28no—
1388C2×D4—24no—
1389C2×D4—24no—
1390C2×D4—22no—
1391C2×D4—24no—
1392C2×D4—28no—
1393C2×D4—22no—
1394C2×D4—28no—
1395C2×D4—24no—
1396C2×D4—24no—
1397C2×D4—22no—
1398C2×D4—22no—
1399C2×D4—22no—
1400C2×D4—24no—
1401C2×D4—24no—
1402C2×D4—22no—
1403C2×D4—22no—
1404C2×D4—416no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—44no—
1408C2×D4—42no—
1409C2×D4—42no—
1410C2×D4—44no—
1411C2×D4—42no—
1412C2×D4—44no—
1413C2×D4—42no—
1414C2×D4—44no—
1415C2×D4—42no—
1416C2×D4—42no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—42no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—42no—
1423C2×D4—44no—
1424C2×D4—44no—
1425C2×D4—44no—
1426C2×D4—44no—
1427C2×D4—44no—
1428C2×D4—44no—
1429C2×D4—44no—
1430C2×D4—44no—
1431C2×D4—42no—
1432C2×D4—42no—
1433C2×D4—44no—
1434C2×D4—42no—
1435C2×D4—44no—
1436C2×D4—42no—
1437C2×D4—44no—
1438C2×D4—44no—
1439C2×D4—42no—
1440C2×D4—42no—
1441C2×D4—44no—
1442C2×D4—42no—
1443C2×D4—44no—
1444C2×D4—44no—
1445C2×D4—44no—
1446C2×D4—44no—
1447C2×D4—44no—
1448C2×D4—44no—
1449C2×D4—44no—
1450C2×D4—44no—
1451C2×D4C22×D414yes—
1452C2×D4C22×D414yes—
1453C2×D4C22×D4116yes—
1454C22×C4—22no—
1455C22×C4—24no—
1456C22×C4—24no—
1457C22×C4—24no—
1458C22×C4—24no—
1459C22×C4—22no—
1460C22×C4—24no—
1461C22×C4—24no—
1462C22×C4—24no—
1463C22×C4—24no—
1464C22×C4—28no—
1465C22×C4—24no—
1466C22×C4—28no—
1467C22×C4—28no—
1468C22×C4—22no—
1469C22×C4—22no—
1470C22×C4—28no—
1471C22×C4—22no—
1472C22×C4—22no—
1473C22×C4—24no—
1474C22×C4—24no—
1475C22×C4—24no—
1476C22×C4—22no—
1477C22×C4—28no—
1478C22×C4—24no—
1479C22×C4—24no—
1480C22×C4—28no—
1481C22×C4—22no—
1482C22×C4—24no—
1483C22×C4—22no—
1484C22×C4—24no—
1485C22×C4—22no—
1486C22×C4—22no—
1487C22×C4—24no—
1488C22×C4—22no—
1489C22×C4—22no—
1490C22×C4—24no—
1491C22×C4—28no—
1492C22×C4—24no—
1493C22×C4—22no—
1494C22×C4—24no—
1495C22×C4—28no—
1496C22×C4—24no—
1497C22×C4—24no—
1498C22×C4—28no—
1499C22×C4—44no—
1500C22×C4—44no—
1501C22×C4—42no—
1502C22×C4—42no—
1503C22×C4—44no—
1504C22×C4—41no—
1505C22×C4—42no—
1506C22×C4—42no—
1507C22×C4—42no—
1508C22×C4—42no—
1509C22×C4—42no—
1510C22×C4—44no—
1511C22×C4—44no—
1512C22×C4—42no—
1513C22×C4—42no—
1514C22×C4—44no—
1515C22×C4—41no—
1516C22×C4—42no—
1517C22×C4—42no—
1518C22×C4—44no—
1519C22×C4—41no—
1520C22×C4—42no—
1521C22×C4—42no—
1522C22×C4—42no—
1523C22×C4—42no—
1524C22×C4—44no—
1525C22×C4—44no—
1526C22×C4—816no—
1527C22×C4C22×D418yes—
1528C22×C4C22×D418yes—
1529C22×C4C2×#4114yes—
1530C22×C4C2512yes—
1531C22×C4C2511yescharacteristic
1532C22×C4C2512yes—
1533C22×C4C2511yescharacteristic
1534C22×C4C2512yes—
1535C22×C4C2512yes—
1536C22×C4C2512yes—
1537C22×C4C2511yescharacteristic
1538C22×C4C2511yescharacteristic
1539C22×C4C2511yescharacteristic
1540C22×C4C2514yes—
1541C22×C4C2512yes—
1542C22×C4C2511yescharacteristic
1543C22×C4C2512yes—
1544C22×C4C2514yes—
1545C22×C4C2511yescharacteristic
1546C22×C4C2511yescharacteristic
1547C22×C4C2512yes—
1548C22×C4C2514yes—
1549C22×C4C2511yescharacteristic
1550C22×C4C2512yes—
1551C22×C4C2511yescharacteristic
1552C22×C4C2512yes—
1553C22×C4C2512yes—
1554C22×C4C2512yes—
1555C22×C4C2511yescharacteristic
1556C22×C4C2511yescharacteristic
1557C22×C4C2511yescharacteristic
1558C4⋊C4—22no—
1559C4⋊C4—24no—
1560C4⋊C4—24no—
1561C4⋊C4—28no—
1562C4⋊C4—28no—
1563C4⋊C4—24no—
1564C4⋊C4—24no—
1565C4⋊C4—22no—
1566C4⋊C4—28no—
1567C4⋊C4—28no—
1568C4⋊C4—24no—
1569C4⋊C4—24no—
1570C4⋊C4—22no—
1571C4⋊C4—22no—
1572C4⋊C4—28no—
1573C4⋊C4—24no—
1574C4⋊C4—28no—
1575C4⋊C4—24no—
1576C4⋊C4—28no—
1577C4⋊C4—24no—
1578C4⋊C4—22no—
1579C4⋊C4—28no—
1580C4⋊C4—28no—
1581C4⋊C4—28no—
1582C4⋊C4—22no—
1583C4⋊C4—24no—
1584C4⋊C4—24no—
1585C4⋊C4—28no—
1586C4⋊C4—22no—
1587C4⋊C4—22no—
1588C4⋊C4—22no—
1589C4⋊C4—42no—
1590C4⋊C4—44no—
1591C4⋊C4—42no—
1592C4⋊C4—42no—
1593C4⋊C4—41no—
1594C4⋊C4—42no—
1595C4⋊C4—44no—
1596C4⋊C4—42no—
1597C4⋊C4—44no—
1598C4⋊C4—42no—
1599C4⋊C4—42no—
1600C4⋊C4C22×D414yes—
1601C4⋊C4C22×D418yes—
1602C4⋊C4C22×D414yes—
1603C4⋊C4C22×D418yes—
1604C4⋊C4C2×#4114yes—
1605C4⋊C4C2×#4118yes—
1606C22⋊C4—24no—
1607C22⋊C4—24no—
1608C22⋊C4—24no—
1609C22⋊C4—24no—
1610C22⋊C4—28no—
1611C22⋊C4—22no—
1612C22⋊C4—24no—
1613C22⋊C4—24no—
1614C22⋊C4—28no—
1615C22⋊C4—28no—
1616C22⋊C4—28no—
1617C22⋊C4—28no—
1618C22⋊C4—24no—
1619C22⋊C4—28no—
1620C22⋊C4—24no—
1621C22⋊C4—28no—
1622C22⋊C4—28no—
1623C22⋊C4—24no—
1624C22⋊C4—28no—
1625C22⋊C4—24no—
1626C22⋊C4—24no—
1627C22⋊C4—24no—
1628C22⋊C4—24no—
1629C22⋊C4—22no—
1630C22⋊C4—24no—
1631C22⋊C4—28no—
1632C22⋊C4—28no—
1633C22⋊C4—28no—
1634C22⋊C4—24no—
1635C22⋊C4—24no—
1636C22⋊C4—24no—
1637C22⋊C4—28no—
1638C22⋊C4—22no—
1639C22⋊C4—24no—
1640C22⋊C4—24no—
1641C22⋊C4—42no—
1642C22⋊C4—42no—
1643C22⋊C4—42no—
1644C22⋊C4—42no—
1645C22⋊C4—44no—
1646C22⋊C4—41no—
1647C22⋊C4—41no—
1648C22⋊C4—42no—
1649C22⋊C4—42no—
1650C22⋊C4—42no—
1651C22⋊C4—41no—
1652C22⋊C4—44no—
1653C22⋊C4—44no—
1654C22⋊C4—44no—
1655C22⋊C4—44no—
1656C22⋊C4—44no—
1657C22⋊C4—42no—
1658C22⋊C4—42no—
1659C22⋊C4—42no—
1660C22⋊C4—44no—
1661C22⋊C4—42no—
1662C22⋊C4—44no—
1663C22⋊C4—44no—
1664C22⋊C4—42no—
1665C22⋊C4—44no—
1666C22⋊C4—44no—
1667C22⋊C4—44no—
1668C22⋊C4—44no—
1669C22⋊C4—42no—
1670C22⋊C4—42no—
1671C22⋊C4—44no—
1672C22⋊C4—44no—
1673C22⋊C4—42no—
1674C22⋊C4—42no—
1675C22⋊C4C22×D418yes—
1676C22⋊C4C22×D418yes—
1677C22⋊C4C22×D4116yes—
1678C22⋊C4C22×D4116yes—
1679C22⋊C4C2×#4118yes—
1680C42—24no—
1681C42—24no—
1682C42—22no—
1683C42—22no—
1684C42—22no—
1685C42—24no—
1686C42—24no—
1687C42—22no—
1688C42—22no—
1689C42—22no—
1690C42—28no—
1691C42—24no—
1692C42—24no—
1693C42—28no—
1694C42—28no—
1695C42—22no—
1696C42—22no—
1697C42—24no—
1698C42—22no—
1699C42—24no—
1700C42—22no—
1701C42—42no—
1702C42—42no—
1703C42—44no—
1704C42—41no—
1705C42—44no—
1706C42—41no—
1707C42—44no—
1708C42C22×D414yes—
1709C42C22×D4116yes—
1710C23—21no—
1711C23—22no—
1712C23—22no—
1713C23—21no—
1714C23—22no—
1715C23—22no—
1716C23—21no—
1717C23—22no—
1718C23—21no—
1719C23—22no—
1720C23—22no—
1721C23—22no—
1722C23—22no—
1723C23—21no—
1724C23—22no—
1725C23—22no—
1726C23—21no—
1727C23—22no—
1728C23—22no—
1729C23—21no—
1730C23—24no—
1731C23—22no—
1732C23—22no—
1733C23—22no—
1734C23—24no—
1735C23—21no—
1736C23—22no—
1737C23—22no—
1738C23—21no—
1739C23—24no—
1740C23—22no—
1741C23—22no—
1742C23—24no—
1743C23—21no—
1744C23—21no—
1745C23—22no—
1746C23—21no—
1747C23—22no—
1748C23—24no—
1749C23—22no—
1750C23—24no—
1751C23—22no—
1752C23—22no—
1753C23—22no—
1754C23—24no—
1755C23—21no—
1756C23—48no—
1757C23—48no—
1758C23—84no—
1759C23—84no—
1760C23—84no—
1761C23—84no—
1762C23—84no—
1763C23C23×D414yes—
1764C23C23×D414yes—
1765C23C22×#4112yes—
1766C23C2611yescharacteristic
1767Q8—28no—
1768Q8—28no—
1769Q8—48no—
1770Q8—48no—
1771Q8—48no—
1772Q8—88no—
1773D4—28no—
1774D4—28no—
1775D4—416no—
1776D4—48no—
1777D4—416no—
1778D4—48no—
1779D4—48no—
1780D4—48no—
1781D4—416no—
1782D4—48no—
1783D4—48no—
1784D4—44no—
1785D4—44no—
1786D4—48no—
1787D4—48no—
1788D4—44no—
1789D4—88no—
1790D4—84no—
1791D4—88no—
1792D4—84no—
1793D4—88no—
1794D4—88no—
1795D4—84no—
1796D4—88no—
1797D4—88no—
1798D4—88no—
1799D4—88no—
1800D4—88no—
1801D4—88no—
1802D4—84no—
1803D4—164no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—21no—
1812C2×C4—22no—
1813C2×C4—24no—
1814C2×C4—22no—
1815C2×C4—21no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—24no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—216no—
1823C2×C4—28no—
1824C2×C4—216no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—22no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—24no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—24no—
1838C2×C4—22no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—24no—
1844C2×C4—21no—
1845C2×C4—22no—
1846C2×C4—24no—
1847C2×C4—21no—
1848C2×C4—21no—
1849C2×C4—21no—
1850C2×C4—21no—
1851C2×C4—22no—
1852C2×C4—21no—
1853C2×C4—22no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—21no—
1861C2×C4—22no—
1862C2×C4—21no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—24no—
1866C2×C4—21no—
1867C2×C4—21no—
1868C2×C4—22no—
1869C2×C4—21no—
1870C2×C4—22no—
1871C2×C4—24no—
1872C2×C4—21no—
1873C2×C4—21no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—416no—
1877C2×C4—416no—
1878C2×C4—44no—
1879C2×C4—416no—
1880C2×C4—48no—
1881C2×C4—48no—
1882C2×C4—48no—
1883C2×C4—48no—
1884C2×C4—44no—
1885C2×C4—48no—
1886C2×C4—44no—
1887C2×C4—48no—
1888C2×C4—44no—
1889C2×C4—84no—
1890C2×C4—88no—
1891C2×C4—82no—
1892C2×C4—84no—
1893C2×C4—84no—
1894C2×C4—88no—
1895C2×C4—84no—
1896C2×C4—88no—
1897C2×C4—84no—
1898C2×C4C23×D418yes—
1899C2×C4C23×D414yes—
1900C2×C4C23×D414yes—
1901C2×C4C23×D412yes—
1902C2×C4C23×D412yes—
1903C2×C4C23×D412yes—
1904C2×C4C22×#4112yes—
1905C2×C4C22×#4114yes—
1906C2×C4C22×#4114yes—
1907C2×C4C22×#4112yes—
1908C2×C4C2×H(5,𝔽2)14yes—
1909C2×C4C2×H(5,𝔽2)12yes—
1910C2×C4#58512yes—
1911C2×C4#58512yes—
1912C2×C4#58512yes—
1913C22—22no—
1914C22—24no—
1915C22—24no—
1916C22—22no—
1917C22—24no—
1918C22—24no—
1919C22—22no—
1920C22—24no—
1921C22—24no—
1922C22—42no—
1923C22—42no—
1924C22—41no—
1925C22—42no—
1926C22—42no—
1927C22—41no—
1928C22—42no—
1929C22—42no—
1930C22—41no—
1931C22—42no—
1932C22—42no—
1933C22—41no—
1934C22—42no—
1935C22—41no—
1936C22—44no—
1937C22—42no—
1938C22—41no—
1939C22—44no—
1940C22—42no—
1941C22—42no—
1942C22—42no—
1943C22—44no—
1944C22—42no—
1945C22—41no—
1946C22—41no—
1947C22—42no—
1948C22—44no—
1949C22—42no—
1950C22—42no—
1951C22—44no—
1952C22—41no—
1953C22—42no—
1954C22—41no—
1955C22—42no—
1956C22—42no—
1957C22—44no—
1958C22—44no—
1959C22—42no—
1960C22—41no—
1961C22—42no—
1962C22—816no—
1963C22C24×D411yescharacteristic
1964C22C23×#4111yescharacteristic
1965C22C22×H(5,𝔽2)11yescharacteristic
1966C22C2×#58511yescharacteristic
1967C22C2×#58511yescharacteristic
1968C22C2×#58511yescharacteristic
1969C22H(7,𝔽2)11yescharacteristic
1970C4—24no—
1971C4—22no—
1972C4—22no—
1973C4—28no—
1974C4—24no—
1975C4—24no—
1976C4—24no—
1977C4—22no—
1978C4—24no—
1979C4—41no—
1980C4—44no—
1981C4—42no—
1982C4—42no—
1983C4—41no—
1984C4—41no—
1985C4—42no—
1986C4—42no—
1987C4—41no—
1988C4—41no—
1989C4—41no—
1990C4—42no—
1991C4—44no—
1992C4—41no—
1993C4—42no—
1994C4—41no—
1995C4—42no—
1996C4D4×#4114yes—
1997C4#348814yes—
1998C2—44no—
1999C2—44no—
2000C2—42no—
2001C2—84no—
2002C2—81no—
2003C2—82no—
2004C2—82no—
2005C2C2×D4×#4111yescharacteristic
2006C2#6279311yescharacteristic
2007C2C2×#348811yescharacteristic
2008C2#6293711yescharacteristic
2009C2#6298611yescharacteristic
2010C2#6298711yescharacteristic
2011C2#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×#3506C2semidirect
2. C2×#3483C2semidirect
3. #59659C2semidirect
4. #59145C2semidirect
5. #59110C2semidirect
6. #59097C2semidirect
7. #59081C2semidirect
8. #59056C2semidirect
9. #59051C2semidirect
10. #58999C2semidirect
11. #45386C2semidirect
12. #44886C2semidirect
13. #44430C2semidirect
14. #44275C2semidirect
15. #39963C2semidirect
16. #39886C2semidirect
17. #39341C2semidirect
18. #38956C2semidirect
19. #37808C2semidirect
20. #37782C2semidirect
21. #36443C2semidirect
22. #36442C2semidirect
23. #36404C2semidirect
24. #36259C2semidirect
25. #36150C2semidirect
26. #36147C2semidirect
27. #36125C2semidirect
28. #36101C2semidirect
29. #35830C2semidirect
30. #35756C2semidirect
31. #34743C2semidirect
32. #34715C2semidirect
33. #34321C2semidirect
34. #34267C2semidirect
35. C4×#546C2semidirect
39. C2×Q82C22semidirect
43. C2×#555C22semidirect
44. C2×#555C22semidirect
45. C2×#555C22semidirect
51. C2×#550C22semidirect
52. C2×#550C22semidirect
55. C2×#547C22semidirect
63. C2×#532C22semidirect
64. C2×#532C22semidirect
65. C2×#532C22semidirect
66. C2×#532C22semidirect
72. C2×C4×#41C22semidirect
73. C2×C4×#41C22semidirect
74. C2×C4×#41C22semidirect
76. #2858C22semidirect
77. #2857C22semidirect
79. #2855C22semidirect
81. #2852C22semidirect
82. #2850C22semidirect
84. #2733C22semidirect
85. #2731C22semidirect
87. #2715C22semidirect
89. #2710C22semidirect
90. #2703C22semidirect
91. #2703C22semidirect
92. #2703C22semidirect
93. #2699C22semidirect
94. #2691C22semidirect
97. #2676C22semidirect
101. #2673C22semidirect
105. #2662C22semidirect
109. #2601C22semidirect
110. #2601C22semidirect
111. #2599C22semidirect
112. #2598C22semidirect
113. #2592C22semidirect
114. #2568C22semidirect
115. #2557C22semidirect
116. #2555C22semidirect
117. #2550C22semidirect
118. #2546C22semidirect
119. #2545C22semidirect
120. #2544C22semidirect
124. #2541C22semidirect
125. #2541C22semidirect
126. #2541C22semidirect
129. #2538C22semidirect
130. #2504C22semidirect
133. #2491C22semidirect
134. #2490C22semidirect
135. #2486C22semidirect
137. #2474C22semidirect
138. #2470C22semidirect
139. #2468C22semidirect
140. #2466C22semidirect
141. #2464C22semidirect
142. #2464C22semidirect
143. #2464C22semidirect
144. #2464C22semidirect
148. #2459C22semidirect
149. #2459C22semidirect
150. #2457C22semidirect
151. #2457C22semidirect
155. #2456C22semidirect
156. #2456C22semidirect
157. #2455C22semidirect
158. #2454C22semidirect
159. #2453C22semidirect
160. #2452C22semidirect
161. #2451C22semidirect
162. #2451C22semidirect
163. #2448C22semidirect
164. #2446C22semidirect
166. #2445C22semidirect
167. #2445C22semidirect
168. #2444C22semidirect
169. #2443C22semidirect
171. #2439C22semidirect
172. #2439C22semidirect
173. #2439C22semidirect
175. #2432C22semidirect
178. #2431C22semidirect
179. #2431C22semidirect
180. #2431C22semidirect
181. #2431C22semidirect
182. #2431C22semidirect
183. #2430C22semidirect
185. #2429C22semidirect
191. #2428C22semidirect
192. #2428C22semidirect
194. #2427C22semidirect
195. #2427C22semidirect
199. #2426C22semidirect
200. #2426C22semidirect
201. #2425C22semidirect
202. #2425C22semidirect
203. #2425C22semidirect
211. #2416C22semidirect
212. #2416C22semidirect
213. #2415C22semidirect
214. #2415C22semidirect
218. #2414C22semidirect
219. #2414C22semidirect
220. #2413C22semidirect
225. #2407C22semidirect
226. #2407C22semidirect
229. #2392C22semidirect
230. #2392C22semidirect
232. #2369C22semidirect
234. #2367C22semidirect
235. #2367C22semidirect
237. #2365C22semidirect
240. #2364C22semidirect
243. #2363C22semidirect
244. #2363C22semidirect
245. #2363C22semidirect
247. #2362C22semidirect
248. #2362C22semidirect
252. #2361C22semidirect
253. #2361C22semidirect
254. #2361C22semidirect
256. #2360C22semidirect
261. #2352C22semidirect
263. D4×C4⋊C4C22semidirect
264. #2347C22semidirect
265. #2347C22semidirect
267. #2341C22semidirect
269. #2339C22semidirect
270. #2339C22semidirect
272. #2337C22semidirect
275. #2323C22semidirect
276. #2311C22semidirect
277. C4×C4⋊Q8C22semidirect
279. C4×#124C22semidirect
282. C4×C22⋊Q8C22semidirect
284. C4×#123C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
293. #2297C22semidirect
294. #2296C22semidirect
295. #2293C22semidirect
296. C2×#389C22semidirect
297. #2274C22semidirect
319. #555D4semidirect
996. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35062
C2×#34832
#596592
#591452
#591102
#590972
#590812
#590562
#590512
#589992
#453862
#448862
#444302
#442752
#399632
#398862
#393412
#389562
#378082
#377822
#364432
#364422
#364042
#362592
#361502
#361472
#361252
#361012
#358302
#357562
#347432
#347152
#343212
#342672
C4×#5462