Finite Group Databasebeta

← #7691764

Subgroups — #7691764

Order 512.

7302 conjugacy classes of subgroups.

The subgroup lattice has 1937 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3517C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic, complemented
3#59653C211yesmaximal, characteristic, complemented
4#59550C212yesmaximal, complemented
5#59176C214yesmaximal, complemented
6#59120C212yesmaximal, complemented
7#59102C212yesmaximal, complemented
8#59067C211yesmaximal, characteristic, complemented
9#59049C211yesmaximal, characteristic, complemented
10#58999C212yesmaximal, complemented
11#45386C212yesmaximal, complemented
12#45004C212yesmaximal, complemented
13#44453C214yesmaximal, complemented
14#43535C214yesmaximal, complemented
15#39957C212yesmaximal, complemented
16#39888C212yesmaximal, complemented
17#38952C211yesmaximal, characteristic, complemented
18#38921C211yesmaximal, characteristic, complemented
19#37734C214yesmaximal, complemented
20#37670C212yesmaximal, complemented
21#36517C212yesmaximal, complemented
22#36433C212yesmaximal, complemented
23#36412C211yesmaximal, characteristic, complemented
24#36411C211yesmaximal, characteristic, complemented
25#36410C211yesmaximal, characteristic, complemented
26#36150C211yesmaximal, characteristic, complemented
27#36117C212yesmaximal, complemented
28#36101C211yesmaximal, characteristic, complemented
29#36015C212yesmaximal, complemented
30#35802C212yesmaximal, complemented
31#34744C212yesmaximal, complemented
32#34700C211yesmaximal, characteristic, complemented
33#34316C211yesmaximal, characteristic, complemented
34#34201C212yesmaximal, complemented
35C4×#547C211yesmaximal, characteristic, complemented
36#3517—216no—
37C2×#557C2211yescharacteristic, complemented
38#3475—216no—
39C2×#556C2211yescharacteristic
40C2×#555C2211yescharacteristic
41C2×#554C2211yescharacteristic
42C2×#553C2212yes—
43C2×#553C2214yescomplemented
44C2×#553C2212yescomplemented
45C2×#552C2212yes—
46C2×#552C2212yes—
47C2×#551C2214yes—
48C2×#550C2211yescharacteristic
49C2×#550C2212yes—
50C2×#550C2211yescharacteristic, complemented
51C2×#550C2212yescomplemented
52C2×#547C2211yescharacteristic
53C2×#547C2211yescharacteristic
54C2×#547C2212yescomplemented
55C2×#546C2212yes—
56C2×#540C2212yescomplemented
57C2×#540C2214yescomplemented
58C2×#533C2211yescharacteristic
59C2×#532C2212yes—
60C2×#532C2211yescharacteristic, complemented
61C2×#529C2211yescharacteristic
62C2×#529C2212yes—
63C2×#529C2214yes—
64C2×#529C2212yescomplemented
65C2×#525C2212yes—
66C2×#525C2212yes—
67C2×#520C2212yescomplemented
68C2×C4×#41C2211yescharacteristic
69C2×C4×#41C2212yes—
70C2×C4×#41C2211yescharacteristic, complemented
71C22×C4×D4C2211yescharacteristic
72C22×#117C2212yes—
73#2858C2211yescharacteristic, complemented
74#2857C2211yescharacteristic, complemented
75#2856C2211yescharacteristic
76#2856C2212yes—
77#2854C2212yes—
78#2854C2212yescomplemented
79#2854C2214yescomplemented
80#2847C2212yes—
81#2725C2214yescomplemented
82#2720C2214yes—
83#2718C2214yescomplemented
84#2714C2214yescomplemented
85#2706C2214yes—
86#2706C2214yescomplemented
87#2703C2214yescomplemented
88#2699C2214yes—
89#2698C2214yescomplemented
90#2693C2214yes—
91#2691C2214yescomplemented
92#2682C2214yes—
93#2680C2214yescomplemented
94#2678C2214yes—
95#2678C2214yes—
96#2673C2214yes—
97#2672C2214yescomplemented
98#2672C2214yescomplemented
99#2671C2214yes—
100#2669C2214yes—
101#2668C2214yes—
102#2661C2214yes—
103#2630C2214yes—
104#2625C2212yescomplemented
105#2620C2212yescomplemented
106#2602C2214yes—
107#2602C2214yes—
108#2582C2211yescharacteristic, complemented
109#2567C2211yescharacteristic, complemented
110#2567C2211yescharacteristic, complemented
111#2558C2214yescomplemented
112#2555C2214yescomplemented
113#2555C2214yescomplemented
114#2554C2214yescomplemented
115#2553C2214yescomplemented
116#2552C2212yescomplemented
117#2552C2212yescomplemented
118#2548C2212yes—
119#2548C2211yescharacteristic, complemented
120#2545C2212yes—
121#2541C2211yescharacteristic
122#2540C2212yes—
123#2540C2212yescomplemented
124#2539C2214yes—
125#2538C2211yescharacteristic
126#2534C2214yes—
127#2519C2214yescomplemented
128#2519C2214yescomplemented
129#2512C2214yescomplemented
130#2501C2214yescomplemented
131#2501C2212yescomplemented
132#2500C2212yescomplemented
133#2500C2214yescomplemented
134#2490C2212yescomplemented
135#2489C2212yescomplemented
136#2489C2212yescomplemented
137#2486C2212yescomplemented
138#2485C2214yescomplemented
139#2485C2212yescomplemented
140#2481C2214yescomplemented
141#2480C2212yes—
142#2479C2214yes—
143#2479C2214yescomplemented
144#2479C2214yescomplemented
145#2476C2214yescomplemented
146#2475C2214yescomplemented
147#2474C2214yescomplemented
148#2473C2214yescomplemented
149#2471C2214yes—
150#2471C2214yescomplemented
151#2468C2212yes—
152#2468C2214yescomplemented
153#2467C2214yescomplemented
154#2464C2214yes—
155#2464C2214yes—
156#2462C2214yescomplemented
157#2461C2214yescomplemented
158#2457C2212yes—
159#2457C2214yescomplemented
160#2456C2214yes—
161#2456C2214yescomplemented
162#2455C2214yes—
163#2454C2211yescharacteristic
164#2454C2212yescomplemented
165#2454C2212yescomplemented
166#2454C2212yescomplemented
167#2453C2212yescomplemented
168#2448C2212yes—
169#2448C2212yescomplemented
170#2448C2212yescomplemented
171#2447C2212yes—
172#2447C2211yescharacteristic
173#2446C2212yescomplemented
174#2446C2212yescomplemented
175#2445C2212yes—
176#2445C2212yes—
177#2445C2212yes—
178#2445C2212yescomplemented
179#2445C2214yescomplemented
180#2445C2214yescomplemented
181#2444C2214yescomplemented
182#2444C2214yescomplemented
183#2443C2214yescomplemented
184#2443C2214yescomplemented
185#2442C2211yescharacteristic
186#2441C2212yes—
187#2441C2212yescomplemented
188#2435C2211yescharacteristic
189#2433C2212yes—
190#2432C2212yescomplemented
191#2431C2212yes—
192#2431C2212yes—
193#2431C2212yes—
194#2429C2212yes—
195#2429C2212yescomplemented
196#2428C2212yescomplemented
197#2428C2212yescomplemented
198#2427C2212yes—
199#2427C2211yescharacteristic
200#2427C2212yescomplemented
201#2426C2212yes—
202#2426C2212yescomplemented
203#2425C2214yescomplemented
204#2425C2214yescomplemented
205#2424C2214yes—
206#2423C2212yes—
207#2422C2212yes—
208#2422C2214yescomplemented
209#2422C2212yescomplemented
210#2420C2211yescharacteristic
211#2420C2214yescomplemented
212#2418C2212yes—
213#2417C2211yescharacteristic
214#2415C2212yescomplemented
215#2414C2212yes—
216#2414C2212yes—
217#2414C2212yes—
218#2414C2212yes—
219#2414C2212yescomplemented
220#2408C2211yescharacteristic
221#2407C2212yes—
222#2407C2212yes—
223#2407C2212yes—
224#2407C2212yescomplemented
225#2395C2212yes—
226#2395C2214yescomplemented
227#2395C2214yescomplemented
228#2392C2212yes—
229#2374C2214yescomplemented
230#2367C2212yescomplemented
231#2367C2212yescomplemented
232#2366C2212yes—
233#2365C2211yescharacteristic, complemented
234#2365C2211yescharacteristic, complemented
235#2363C2212yes—
236#2363C2212yes—
237#2363C2212yescomplemented
238#2363C2212yescomplemented
239#2363C2212yescomplemented
240#2363C2212yescomplemented
241#2362C2211yescharacteristic
242#2362C2212yes—
243#2362C2212yescomplemented
244#2362C2212yescomplemented
245#2362C2212yescomplemented
246#2362C2211yescharacteristic, complemented
247#2361C2212yes—
248#2361C2212yes—
249#2361C2214yescomplemented
250#2359C2212yes—
251#2359C2212yescomplemented
252#2354C2211yescharacteristic
253#2354C2211yescharacteristic
254#2354C2214yes—
255#2354C2211yescharacteristic, complemented
256#2354C2214yescomplemented
257#2354C2212yescomplemented
258#2352C2214yes—
259#2352C2214yescomplemented
260#2351C2212yescomplemented
261Q8×C4⋊C4C2212yescomplemented
262D4×C4⋊C4C2211yescharacteristic, complemented
263#2345C2212yescomplemented
264#2344C2212yescomplemented
265#2341C2212yes—
266#2341C2212yescomplemented
267#2341C2212yescomplemented
268#2339C2211yescharacteristic
269#2339C2211yescharacteristic, complemented
270#2335C2214yescomplemented
271#2324C2212yescomplemented
272#2321C2214yes—
273#2321C2214yes—
274#2317C2212yescomplemented
275#2311C2212yescomplemented
276C4×C4⋊Q8C2211yescharacteristic, complemented
277C4×C4⋊Q8C2211yescharacteristic, complemented
278C4×#124C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic, complemented
282C4×C22⋊Q8C2212yescomplemented
283C4×#123C2212yes—
284C4×#123C2214yescomplemented
285C4×#123C2214yescomplemented
286C4×#123C2212yescomplemented
287C4×#123C2214yescomplemented
288C4×#121C2212yes—
289C4×#121C2211yescharacteristic
290C4×#120C2212yes—
291#2297C2212yes—
292#2297C2212yescomplemented
293#2297C2212yescomplemented
294#2296C2212yescomplemented
295#2293C2211yescharacteristic
296#2280C2212yes—
297#2274C2212yescomplemented
298C42×D4C2211yescharacteristic
299C42×D4C2211yescharacteristic, complemented
300C2×C4×C4⋊C4C2212yescomplemented
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C22×#41C2312yes—
306C22×#41C2312yes—
307C23×D4C2311yescharacteristic
308C24×C4C2312yes—
309#557—28no—
310#556—28no—
311#555—28no—
312#554—28no—
313#553—232no—
314#553—216no—
315#553—216no—
316#552—216no—
317#552—216no—
318#551—232no—
319#550—216no—
320#550—216no—
321#550—28no—
322#550—28no—
323#547—216no—
324#547—28no—
325#547D4116yescomplemented
326#546—216no—
327#540—232no—
328#540—216no—
329#533—28no—
330#532—216no—
331#532—28no—
332C2×C4⋊Q8C2311yescharacteristic
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2311yescharacteristic
336C2×#127C2311yescharacteristic
337C2×#127C2314yes—
338C2×#127C2312yes—
339C2×#127C2312yes—
340C2×#127C2312yes—
341#529—232no—
342#529—216no—
343#529—216no—
344#529—28no—
345C2×#126C2314yes—
346C2×#126C2312yes—
347C2×#126C2314yes—
348C2×#126C2314yes—
349C2×#126C2314yes—
350C2×#125C2311yescharacteristic
351C2×#125C2314yes—
352C2×#125C2312yes—
353C2×#125C2312yes—
354C2×#125C2312yes—
355C2×#125C2314yes—
356C2×#124C2311yescharacteristic
357C2×#124C2312yes—
358C2×#124C2314yes—
359C2×#124C2312yes—
360C2×#124C2312yes—
361C2×#124C2312yes—
362C2×#124C2311yescharacteristic
363C2×#124C2312yes—
364#525—216no—
365#525—216no—
366C2×#123C2314yes—
367C2×#123C2312yes—
368C2×#123C2312yes—
369C2×#123C2314yes—
370C2×#123C2314yes—
371C2×#123C2312yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2311yescharacteristic
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2311yescharacteristic
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2311yescharacteristic
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2311yescharacteristic
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2314yes—
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2311yescharacteristic
403C2×#121C2314yes—
404C2×#121C2312yes—
405C2×#121C2314yes—
406C2×#121C2314yes—
407C2×#121C2314yes—
408C2×#121C2314yes—
409C2×#121C2312yes—
410C2×#121C2314yes—
411C2×#121C2314yes—
412C2×#121C2312yes—
413C2×#121C2312yes—
414C2×#121C2314yes—
415C2×#121C2311yescharacteristic
416C2×#121C2314yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#120C2314yes—
420C2×#120C2314yes—
421C2×#120C2312yes—
422C2×#120C2314yes—
423#520—216no—
424C4×#41—216no—
425C4×#41—28no—
426C4×#41—28no—
427C2×C4×Q8C2311yescharacteristic
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2311yescharacteristic
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2311yescharacteristic
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2311yescharacteristic
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×D4—28no—
440C2×C4×D4C2314yes—
441C2×C4×D4C2314yes—
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2314yes—
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2314yes—
447C2×C4×D4C2314yes—
448C2×C4×D4C2311yescharacteristic
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2314yes—
453C2×C4×D4C2314yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2312yes—
464C2×C4×D4C2314yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2314yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2311yescharacteristic
474C2×#117—216no—
475C2×#117C2312yes—
476C2×#117C2312yes—
477C2×#117C2312yes—
478C2×#117C2312yes—
479C2×#117C2314yes—
480C2×#117C2314yes—
481C2×#117C2311yescharacteristic
482C2×#117C2314yes—
483C2×#117C2311yescharacteristic
484C2×#117C2312yes—
485C2×#117C2312yes—
486C2×#117C2312yes—
487C2×#117C2314yes—
488C2×#117C2312yes—
489C2×#117C2312yes—
490C2×#117C2312yes—
491C22×C4⋊C4C2312yes—
492C22×C4⋊C4C2312yes—
493C22×C4⋊C4C2314yes—
494C22×C4⋊C4C2311yescharacteristic
495C22×C4⋊C4C2312yes—
496C22×C4⋊C4C2312yes—
497C22×C22⋊C4C2314yes—
498C22×C22⋊C4C2312yes—
499C22×C42C2312yes—
500C22×C42C2314yes—
501C22×C42C2312yes—
502C22×C42C2311yescharacteristic
503C22×C42C2311yescharacteristic
504C22×C42C2312yes—
505#400C2314yes—
506#400C2312yes—
507#400C2314yes—
508#400C2314yes—
509#399C2312yes—
510#399C2314yes—
511#399C2314yes—
512#399C2314yes—
513#399C2314yes—
514#399C2314yes—
515#399C2314yes—
516#398C2314yes—
517#398C2314yes—
518#398C2314yes—
519#398C2312yes—
520#398C2312yes—
521#398C2314yes—
522#398C2314yes—
523#398C2314yes—
524#398C2314yes—
525#397C2314yes—
526#397C2314yes—
527#397C2314yes—
528#397C2312yes—
529#397C2312yes—
530#397C2312yes—
531#397C2312yes—
532#397C2314yes—
533#397C2314yes—
534#397C2314yes—
535#397C2314yes—
536#397C2314yes—
537#396C2314yes—
538#396C2314yes—
539#396C2314yes—
540#396C2314yes—
541#396C2312yes—
542#396C2312yes—
543#396C2314yes—
544#396C2314yes—
545#396C2314yes—
546#395C2314yes—
547#395C2314yes—
548#394C2312yes—
549#394C2312yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2312yes—
554#394C2314yes—
555#394C2314yes—
556#394C2312yes—
557#394C2312yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2312yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#391C2311yescharacteristic
584#391C2311yescharacteristic
585#391C2312yes—
586#391C2312yes—
587#391C2312yes—
588#391C2312yes—
589#391C2312yes—
590#391C2311yescharacteristic
591#391C2311yescharacteristic
592#391C2312yes—
593#391C2312yes—
594#391C2311yescharacteristic
595#391C2311yescharacteristic
596#390C2312yes—
597#390C2312yes—
598#390C2314yes—
599#390C2314yes—
600#390C2314yes—
601#390C2314yes—
602#390C2314yes—
603#390C2312yes—
604#390C2314yes—
605#390C2311yescharacteristic
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2314yes—
610#390C2314yes—
611#390C2312yes—
612#390C2312yes—
613#390C2314yes—
614#390C2314yes—
615#390C2311yescharacteristic
616#390C2312yes—
617#390C2311yescharacteristic
618#390C2314yes—
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2314yes—
623#390C2312yes—
624#390C2312yes—
625#390C2314yes—
626#390C2314yes—
627#390C2311yescharacteristic
628#390C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2311yescharacteristic
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2311yescharacteristic
644#389C2314yes—
645#389C2314yes—
646#389C2312yes—
647#389C2314yes—
648#389C2311yescharacteristic
649#389C2314yes—
650#389C2312yes—
651#389C2314yes—
652#389C2314yes—
653#389C2311yescharacteristic
654#389C2311yescharacteristic
655#389C2311yescharacteristic
656#388C2312yes—
657#388C2312yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2312yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2312yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2312yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2312yes—
684#388C2312yes—
685#388C2314yes—
686#388C2314yes—
687#388C2312yes—
688#388C2314yes—
689#388C2314yes—
690#388C2312yes—
691#388C2312yes—
692#388C2312yes—
693#387C2314yes—
694#387C2314yes—
695#387C2312yes—
696#387C2312yes—
697#387C2312yes—
698#387C2312yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2312yes—
705#387C2312yes—
706#387C2314yes—
707#387C2314yes—
708#387C2312yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2312yes—
720#386C2312yes—
721#386C2312yes—
722#386C2312yes—
723#386C2314yes—
724#386C2312yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2312yes—
731#386C2312yes—
732#386C2312yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2312yes—
743#385C2312yes—
744#385C2312yes—
745#385C2312yes—
746#385C2314yes—
747#385C2312yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2312yes—
752#385C2314yes—
753#385C2312yes—
754#385C2312yes—
755#384C2311yescharacteristic
756#384C2311yescharacteristic
757#384C2312yes—
758#384C2312yes—
759#384C2314yes—
760#384C2314yes—
761#382C2314yes—
762#382C2311yescharacteristic
763#382C2314yes—
764#381C2312yes—
765#381C2312yes—
766#381C2312yes—
767#381C2314yes—
768#381C2312yes—
769#380C2314yes—
770#380C2314yes—
771#380C2312yes—
772#380C2314yes—
773#380C2311yescharacteristic
774#380C2312yes—
775#380C2311yescharacteristic
776#380C2312yes—
777#380C2311yescharacteristic
778#380C2312yes—
779#380C2314yes—
780#380C2314yes—
781#380C2312yes—
782#380C2312yes—
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2311yescharacteristic
788#379C2312yes—
789#379C2312yes—
790#379C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2314yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2314yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2314yes—
806C4×C4⋊C4C2314yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2314yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2314yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2312yes—
818C4×C22⋊C4C2314yes—
819C4×C22⋊C4C2314yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2311yescharacteristic
822C4×C22⋊C4C2311yescharacteristic
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2311yescharacteristic
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2311yescharacteristic
834C4×C22⋊C4C2311yescharacteristic
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2311yescharacteristic
844C2×#95C2312yes—
845C2×#95C2312yes—
846C43C2311yescharacteristic
847C25C2412yes—
848C2×#41—28no—
849C2×#41—28no—
850C2×#41—24no—
851C2×#41—24no—
852C2×#41—24no—
853C2×#41—28no—
854C2×#41—28no—
855C2×#41—24no—
856C2×#41—44no—
857C2×#41—44no—
858C2×#41—44no—
859C2×#41—42no—
860C2×#41—42no—
861C2×#41—44no—
862C2×#41—44no—
863C2×#41—44no—
864C2×#41—44no—
865C2×#41C2×D4116yes—
866C22×Q8C2411yescharacteristic
867C22×Q8C2411yescharacteristic
868C22×Q8C2412yes—
869C22×Q8C2411yescharacteristic
870C22×Q8C2412yes—
871C22×D4—24no—
872C22×D4—42no—
873C22×D4—42no—
874C22×D4C2412yes—
875C22×D4C2411yescharacteristic
876C22×D4C2412yes—
877C22×D4C2411yescharacteristic
878C22×D4C2412yes—
879C22×D4C2414yes—
880C22×D4C2412yes—
881C22×D4C2411yescharacteristic
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2414yes—
885C22×D4C2414yes—
886C22×D4C2414yes—
887C22×D4C2412yes—
888C22×D4C2414yes—
889C22×D4C2412yes—
890C22×D4C2414yes—
891C22×D4C2414yes—
892C22×D4C2414yes—
893C22×D4C2412yes—
894C22×D4C2414yes—
895C22×D4C2414yes—
896C23×C4—28no—
897C23×C4—28no—
898C23×C4—44no—
899C23×C4C2411yescharacteristic
900C23×C4C2412yes—
901C23×C4C2411yescharacteristic
902C23×C4C2411yescharacteristic
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2414yes—
906C23×C4C2412yes—
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2412yes—
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2411yescharacteristic
913C23×C4C2411yescharacteristic
914C23×C4C2414yes—
915C23×C4C2412yes—
916C23×C4C2414yes—
917C23×C4C2414yes—
918C23×C4C2412yes—
919C23×C4C2411yescharacteristic
920C23×C4C2412yes—
921C23×C4C2414yes—
922C4⋊Q8—28no—
923C4⋊Q8—24no—
924C4⋊Q8—24no—
925C4⋊Q8C2×D418yes—
926#127—28no—
927#127—216no—
928#127—28no—
929#127—24no—
930#127—44no—
931#126—216no—
932#126—216no—
933#126—216no—
934#126—216no—
935#126—28no—
936#125—24no—
937#125—216no—
938#125—28no—
939#125—28no—
940#125—216no—
941#125—28no—
942#124—28no—
943#124—28no—
944#124—24no—
945#124—216no—
946#124—44no—
947#124—44no—
948#124—42no—
949#124—82no—
950#123—216no—
951#123—216no—
952#123—216no—
953#123—28no—
954#123—216no—
955#123—28no—
956#123—216no—
957#123—216no—
958#123—216no—
959#123—28no—
960#123—48no—
961#123—84no—
962#123—84no—
963#123—84no—
964#123—84no—
965#123C2×D4132yes—
966C22⋊Q8—28no—
967C22⋊Q8—28no—
968C22⋊Q8—28no—
969C22⋊Q8—28no—
970C22⋊Q8—24no—
971C22⋊Q8—28no—
972C22⋊Q8—24no—
973C22⋊Q8—216no—
974C22⋊Q8—42no—
975C22⋊Q8—82no—
976C22⋊Q8C2×D4116yes—
977C22⋊Q8#4118yescomplemented
978#121—28no—
979#121—216no—
980#121—24no—
981#121—216no—
982#121—216no—
983#121—216no—
984#121—28no—
985#121—28no—
986#121—216no—
987#121—28no—
988#121—28no—
989#121—28no—
990#121—28no—
991#121—28no—
992#121—216no—
993#121—216no—
994#121—216no—
995#121—28no—
996#121—48no—
997#121—42no—
998#121—44no—
999#121—44no—
1000#121—84no—
1001#121—82no—
1002#121C2×D4116yes—
1003#120—216no—
1004#120—216no—
1005#120—44no—
1006#120—84no—
1007C4×Q8—28no—
1008C4×Q8—28no—
1009C4×Q8—28no—
1010C4×Q8—24no—
1011C4×Q8—24no—
1012C4×Q8—28no—
1013C4×Q8—28no—
1014C4×Q8—24no—
1015C4×Q8—24no—
1016C4×Q8—24no—
1017C4×Q8—44no—
1018C4×Q8—44no—
1019C4×D4—24no—
1020C4×D4—216no—
1021C4×D4—24no—
1022C4×D4—28no—
1023C4×D4—216no—
1024C4×D4—24no—
1025C4×D4—28no—
1026C4×D4—28no—
1027C4×D4—28no—
1028C4×D4—216no—
1029C4×D4—216no—
1030C4×D4—28no—
1031C4×D4—216no—
1032C4×D4—24no—
1033C4×D4—24no—
1034C4×D4—28no—
1035C4×D4—28no—
1036C4×D4—28no—
1037C4×D4—28no—
1038C4×D4—216no—
1039C4×D4—24no—
1040C4×D4—28no—
1041C4×D4—28no—
1042C4×D4—28no—
1043C4×D4—216no—
1044C4×D4—216no—
1045C4×D4—216no—
1046C4×D4—24no—
1047C4×D4—42no—
1048C4×D4—42no—
1049C4×D4—42no—
1050C4×D4—44no—
1051C4×D4C2×D418yes—
1052C4×D4C2×D418yes—
1053#117—216no—
1054#117—28no—
1055#117—28no—
1056#117—24no—
1057#117—28no—
1058#117—216no—
1059#117—216no—
1060#117—28no—
1061#117—28no—
1062#117—24no—
1063#117—216no—
1064#117—28no—
1065#117—28no—
1066#117—28no—
1067#117—44no—
1068#117—44no—
1069C2×C4⋊C4—28no—
1070C2×C4⋊C4—24no—
1071C2×C4⋊C4—216no—
1072C2×C4⋊C4—28no—
1073C2×C4⋊C4—44no—
1074C2×C4⋊C4C2×D4116yes—
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C22⋊C4—216no—
1136C2×C22⋊C4—28no—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2411yescharacteristic
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2411yescharacteristic
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2411yescharacteristic
1173C2×C22⋊C4C2411yescharacteristic
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2411yescharacteristic
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2412yes—
1207C2×C42—216no—
1208C2×C42—28no—
1209C2×C42—28no—
1210C2×C42—24no—
1211C2×C42—24no—
1212C2×C42—44no—
1213C2×C42C2414yes—
1214C2×C42C2412yes—
1215C2×C42C2411yescharacteristic
1216C2×C42C2412yes—
1217C2×C42C2411yescharacteristic
1218C2×C42C2414yes—
1219C2×C42C2411yescharacteristic
1220C2×C42C2412yes—
1221C2×C42C2412yes—
1222C2×C42C2414yes—
1223C2×C42C2411yescharacteristic
1224C2×C42C2412yes—
1225C2×C42C2414yes—
1226C2×C42C2414yes—
1227C2×C42C2412yes—
1228C2×C42C2411yescharacteristic
1229C2×C42C2412yes—
1230C2×C42C2412yes—
1231C2×C42C2411yescharacteristic
1232C2×C42C2411yescharacteristic
1233C2×C42C2411yescharacteristic
1234C2×C42C2411yescharacteristic
1235C2×C42C2411yescharacteristic
1236C2×C42C2412yes—
1237C2×C42C2411yescharacteristic
1238C2×C42C2414yes—
1239C2×C42C2414yes—
1240C2×C42C2414yes—
1241C2×C42C2411yescharacteristic
1242C2×C42C2412yes—
1243C2×C42C2412yes—
1244C2×C42C2411yescharacteristic
1245#95C2411yescharacteristic
1246#95C2411yescharacteristic
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2411yescharacteristic
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2411yescharacteristic
1262#95C2412yes—
1263#95C2411yescharacteristic
1264#95C2412yes—
1265#95C2411yescharacteristic
1266#95C2412yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2412yes—
1275#95C2414yes—
1276#95C2412yes—
1277#95C2414yes—
1278#95C2412yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2412yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2412yes—
1294#95C2414yes—
1295C24—24no—
1296C24—24no—
1297C24—42no—
1298C24—42no—
1299C24—42no—
1300C24—42no—
1301C24—42no—
1302C24C2512yes—
1303C24C2511yescharacteristic
1304C24C2514yes—
1305C24C2512yes—
1306C24C2512yes—
1307C24C2511yescharacteristic
1308#41—432no—
1309#41—416no—
1310#41—432no—
1311#41—416no—
1312#41—816no—
1313#41—816no—
1314C2×Q8—22no—
1315C2×Q8—22no—
1316C2×Q8—22no—
1317C2×Q8—24no—
1318C2×Q8—22no—
1319C2×Q8—24no—
1320C2×Q8—24no—
1321C2×Q8—22no—
1322C2×Q8—22no—
1323C2×Q8—22no—
1324C2×Q8—22no—
1325C2×Q8—42no—
1326C2×Q8—42no—
1327C2×Q8C22×D418yes—
1328C2×Q8C2×#4114yes—
1329C2×D4—24no—
1330C2×D4—24no—
1331C2×D4—28no—
1332C2×D4—24no—
1333C2×D4—22no—
1334C2×D4—24no—
1335C2×D4—28no—
1336C2×D4—28no—
1337C2×D4—24no—
1338C2×D4—28no—
1339C2×D4—28no—
1340C2×D4—28no—
1341C2×D4—22no—
1342C2×D4—24no—
1343C2×D4—24no—
1344C2×D4—24no—
1345C2×D4—28no—
1346C2×D4—22no—
1347C2×D4—28no—
1348C2×D4—24no—
1349C2×D4—24no—
1350C2×D4—28no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—22no—
1354C2×D4—22no—
1355C2×D4—22no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—22no—
1359C2×D4—24no—
1360C2×D4—41no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—42no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—42no—
1381C2×D4—44no—
1382C2×D4—42no—
1383C2×D4—42no—
1384C2×D4—44no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—44no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—416no—
1393C2×D4C22×D414yes—
1394C2×D4C22×D414yes—
1395C2×D4C22×D4116yes—
1396C22×C4—22no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—24no—
1401C22×C4—22no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—24no—
1406C22×C4—28no—
1407C22×C4—24no—
1408C22×C4—24no—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—24no—
1413C22×C4—28no—
1414C22×C4—24no—
1415C22×C4—24no—
1416C22×C4—24no—
1417C22×C4—24no—
1418C22×C4—24no—
1419C22×C4—24no—
1420C22×C4—28no—
1421C22×C4—22no—
1422C22×C4—24no—
1423C22×C4—24no—
1424C22×C4—24no—
1425C22×C4—22no—
1426C22×C4—24no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—28no—
1434C22×C4—28no—
1435C22×C4—42no—
1436C22×C4—42no—
1437C22×C4—42no—
1438C22×C4—42no—
1439C22×C4—44no—
1440C22×C4—44no—
1441C22×C4—44no—
1442C22×C4—42no—
1443C22×C4—42no—
1444C22×C4—432no—
1445C22×C4—42no—
1446C22×C4—42no—
1447C22×C4—42no—
1448C22×C4—41no—
1449C22×C4—41no—
1450C22×C4—42no—
1451C22×C4—41no—
1452C22×C4—42no—
1453C22×C4—41no—
1454C22×C4—44no—
1455C22×C4—42no—
1456C22×C4—44no—
1457C22×C4—42no—
1458C22×C4—44no—
1459C22×C4—44no—
1460C22×C4—44no—
1461C22×C4—44no—
1462C22×C4C22×D418yes—
1463C22×C4C22×D418yes—
1464C22×C4C22×D4116yes—
1465C22×C4C2×#4114yes—
1466C22×C4C2512yes—
1467C22×C4C2511yescharacteristic
1468C22×C4C2512yes—
1469C22×C4C2511yescharacteristic
1470C22×C4C2512yes—
1471C22×C4C2511yescharacteristic
1472C22×C4C2514yes—
1473C22×C4C2511yescharacteristic
1474C22×C4C2512yes—
1475C22×C4C2511yescharacteristic
1476C22×C4C2512yes—
1477C22×C4C2512yes—
1478C22×C4C2511yescharacteristic
1479C22×C4C2511yescharacteristic
1480C22×C4C2512yes—
1481C22×C4C2511yescharacteristic
1482C22×C4C2512yes—
1483C22×C4C2514yes—
1484C22×C4C2512yes—
1485C22×C4C2512yes—
1486C22×C4C2514yes—
1487C22×C4C2511yescharacteristic
1488C22×C4C2512yes—
1489C22×C4C2511yescharacteristic
1490C22×C4C2512yes—
1491C22×C4C2512yes—
1492C22×C4C2511yescharacteristic
1493C22×C4C2511yescharacteristic
1494C22×C4C2511yescharacteristic
1495C4⋊C4—22no—
1496C4⋊C4—24no—
1497C4⋊C4—24no—
1498C4⋊C4—22no—
1499C4⋊C4—24no—
1500C4⋊C4—28no—
1501C4⋊C4—24no—
1502C4⋊C4—28no—
1503C4⋊C4—24no—
1504C4⋊C4—24no—
1505C4⋊C4—22no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—28no—
1509C4⋊C4—28no—
1510C4⋊C4—24no—
1511C4⋊C4—24no—
1512C4⋊C4—28no—
1513C4⋊C4—28no—
1514C4⋊C4—22no—
1515C4⋊C4—28no—
1516C4⋊C4—24no—
1517C4⋊C4—28no—
1518C4⋊C4—22no—
1519C4⋊C4—24no—
1520C4⋊C4—24no—
1521C4⋊C4—24no—
1522C4⋊C4—28no—
1523C4⋊C4—24no—
1524C4⋊C4—22no—
1525C4⋊C4—24no—
1526C4⋊C4—22no—
1527C4⋊C4—24no—
1528C4⋊C4—22no—
1529C4⋊C4—22no—
1530C4⋊C4—42no—
1531C4⋊C4—42no—
1532C4⋊C4—42no—
1533C4⋊C4—42no—
1534C4⋊C4—41no—
1535C4⋊C4—42no—
1536C4⋊C4—44no—
1537C4⋊C4—44no—
1538C4⋊C4—44no—
1539C4⋊C4—42no—
1540C4⋊C4—44no—
1541C4⋊C4—42no—
1542C4⋊C4—44no—
1543C4⋊C4—44no—
1544C4⋊C4—42no—
1545C4⋊C4—42no—
1546C4⋊C4—44no—
1547C4⋊C4—44no—
1548C4⋊C4C22×D4116yes—
1549C4⋊C4C22×D414yes—
1550C4⋊C4C22×D414yes—
1551C4⋊C4C22×D418yes—
1552C4⋊C4C22×D418yes—
1553C4⋊C4C2×#4118yes—
1554C4⋊C4C2×#4114yes—
1555C22⋊C4—24no—
1556C22⋊C4—28no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—24no—
1560C22⋊C4—24no—
1561C22⋊C4—28no—
1562C22⋊C4—24no—
1563C22⋊C4—22no—
1564C22⋊C4—24no—
1565C22⋊C4—28no—
1566C22⋊C4—28no—
1567C22⋊C4—28no—
1568C22⋊C4—24no—
1569C22⋊C4—24no—
1570C22⋊C4—28no—
1571C22⋊C4—24no—
1572C22⋊C4—28no—
1573C22⋊C4—28no—
1574C22⋊C4—28no—
1575C22⋊C4—24no—
1576C22⋊C4—28no—
1577C22⋊C4—28no—
1578C22⋊C4—28no—
1579C22⋊C4—28no—
1580C22⋊C4—28no—
1581C22⋊C4—24no—
1582C22⋊C4—22no—
1583C22⋊C4—24no—
1584C22⋊C4—24no—
1585C22⋊C4—24no—
1586C22⋊C4—28no—
1587C22⋊C4—42no—
1588C22⋊C4—42no—
1589C22⋊C4—44no—
1590C22⋊C4—41no—
1591C22⋊C4—41no—
1592C22⋊C4—41no—
1593C22⋊C4—41no—
1594C22⋊C4—42no—
1595C22⋊C4—42no—
1596C22⋊C4—42no—
1597C22⋊C4—42no—
1598C22⋊C4—42no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—42no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—42no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—42no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—42no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4—42no—
1614C22⋊C4—42no—
1615C22⋊C4—44no—
1616C22⋊C4—42no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—42no—
1621C22⋊C4C22×D418yes—
1622C22⋊C4C22×D418yes—
1623C22⋊C4C22×D4116yes—
1624C22⋊C4C2×#4118yes—
1625C42—24no—
1626C42—22no—
1627C42—22no—
1628C42—28no—
1629C42—24no—
1630C42—22no—
1631C42—28no—
1632C42—22no—
1633C42—24no—
1634C42—22no—
1635C42—28no—
1636C42—24no—
1637C42—22no—
1638C42—24no—
1639C42—24no—
1640C42—28no—
1641C42—24no—
1642C42—28no—
1643C42—22no—
1644C42—22no—
1645C42—24no—
1646C42—22no—
1647C42—24no—
1648C42—22no—
1649C42—22no—
1650C42—42no—
1651C42—42no—
1652C42—44no—
1653C42—44no—
1654C42—44no—
1655C42—41no—
1656C42C22×D414yes—
1657C23—21no—
1658C23—22no—
1659C23—22no—
1660C23—22no—
1661C23—21no—
1662C23—21no—
1663C23—22no—
1664C23—22no—
1665C23—22no—
1666C23—22no—
1667C23—22no—
1668C23—21no—
1669C23—21no—
1670C23—22no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—21no—
1675C23—22no—
1676C23—21no—
1677C23—24no—
1678C23—21no—
1679C23—22no—
1680C23—24no—
1681C23—24no—
1682C23—22no—
1683C23—24no—
1684C23—22no—
1685C23—21no—
1686C23—22no—
1687C23—21no—
1688C23—24no—
1689C23—21no—
1690C23—21no—
1691C23—24no—
1692C23—22no—
1693C23—21no—
1694C23—24no—
1695C23—22no—
1696C23—48no—
1697C23—48no—
1698C23—84no—
1699C23—84no—
1700C23—84no—
1701C23—84no—
1702C23—84no—
1703C23C23×D414yes—
1704C23C23×D414yes—
1705C23C22×#4112yes—
1706C23C2611yescharacteristic
1707Q8—28no—
1708Q8—216no—
1709Q8—44no—
1710Q8—44no—
1711Q8—84no—
1712D4—28no—
1713D4—28no—
1714D4—416no—
1715D4—44no—
1716D4—416no—
1717D4—48no—
1718D4—48no—
1719D4—48no—
1720D4—48no—
1721D4—44no—
1722D4—48no—
1723D4—84no—
1724D4—88no—
1725D4—88no—
1726D4—88no—
1727D4—88no—
1728D4—88no—
1729D4—84no—
1730D4—88no—
1731D4—88no—
1732D4—84no—
1733D4—164no—
1734C2×C4—21no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—21no—
1738C2×C4—22no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—24no—
1744C2×C4—24no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—21no—
1750C2×C4—28no—
1751C2×C4—216no—
1752C2×C4—216no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—22no—
1756C2×C4—21no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—24no—
1761C2×C4—22no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—22no—
1765C2×C4—21no—
1766C2×C4—24no—
1767C2×C4—22no—
1768C2×C4—21no—
1769C2×C4—22no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—22no—
1773C2×C4—21no—
1774C2×C4—22no—
1775C2×C4—21no—
1776C2×C4—22no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—22no—
1780C2×C4—24no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—24no—
1784C2×C4—22no—
1785C2×C4—21no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—22no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—22no—
1802C2×C4—24no—
1803C2×C4—21no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—24no—
1808C2×C4—21no—
1809C2×C4—22no—
1810C2×C4—416no—
1811C2×C4—48no—
1812C2×C4—48no—
1813C2×C4—416no—
1814C2×C4—48no—
1815C2×C4—48no—
1816C2×C4—48no—
1817C2×C4—48no—
1818C2×C4—48no—
1819C2×C4—44no—
1820C2×C4—44no—
1821C2×C4—44no—
1822C2×C4—82no—
1823C2×C4—82no—
1824C2×C4—88no—
1825C2×C4—88no—
1826C2×C4—84no—
1827C2×C4—84no—
1828C2×C4—88no—
1829C2×C4—84no—
1830C2×C4C23×D414yes—
1831C2×C4C23×D418yes—
1832C2×C4C23×D412yes—
1833C2×C4C23×D414yes—
1834C2×C4C23×D412yes—
1835C2×C4C23×D412yes—
1836C2×C4C22×#4114yes—
1837C2×C4C22×#4112yes—
1838C2×C4C22×#4114yes—
1839C2×C4C22×#4112yes—
1840C2×C4#58512yes—
1841C2×C4#58512yes—
1842C2×C4#58512yes—
1843C2×C4#58512yes—
1844C22—24no—
1845C22—24no—
1846C22—22no—
1847C22—24no—
1848C22—24no—
1849C22—22no—
1850C22—22no—
1851C22—24no—
1852C22—24no—
1853C22—41no—
1854C22—42no—
1855C22—42no—
1856C22—41no—
1857C22—42no—
1858C22—42no—
1859C22—41no—
1860C22—42no—
1861C22—42no—
1862C22—42no—
1863C22—42no—
1864C22—41no—
1865C22—41no—
1866C22—44no—
1867C22—42no—
1868C22—44no—
1869C22—41no—
1870C22—42no—
1871C22—41no—
1872C22—44no—
1873C22—42no—
1874C22—41no—
1875C22—42no—
1876C22—44no—
1877C22—41no—
1878C22—42no—
1879C22—44no—
1880C22—42no—
1881C22—44no—
1882C22—41no—
1883C22—42no—
1884C22—44no—
1885C22—41no—
1886C22—816no—
1887C22C24×D411yescharacteristic
1888C22C23×#4111yescharacteristic
1889C22C2×#58511yescharacteristic
1890C22C2×#58511yescharacteristic
1891C22C2×#58511yescharacteristic
1892C22C2×#58511yescharacteristic
1893C22H(7,𝔽2)11yescharacteristic
1894C4—22no—
1895C4—24no—
1896C4—28no—
1897C4—22no—
1898C4—24no—
1899C4—22no—
1900C4—24no—
1901C4—24no—
1902C4—41no—
1903C4—42no—
1904C4—41no—
1905C4—42no—
1906C4—44no—
1907C4—42no—
1908C4—41no—
1909C4—44no—
1910C4—41no—
1911C4—41no—
1912C4—42no—
1913C4—41no—
1914C4—42no—
1915C4—42no—
1916C4—41no—
1917C4—42no—
1918C4—41no—
1919C4—42no—
1920C4—42no—
1921C4D4×#4114yes—
1922C4#348514yes—
1923C2—44no—
1924C2—44no—
1925C2—42no—
1926C2—81no—
1927C2—84no—
1928C2—82no—
1929C2C2×D4×#4111yescharacteristic
1930C2C2×#348511yescharacteristic
1931C2#6281611yescharacteristic
1932C2#6293711yescharacteristic
1933C2#6300311yescharacteristic
1934C2#6300611yescharacteristic
1935C2#6303111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#3517C2semidirect
2. C2×#3475C2semidirect
3. #59653C2semidirect
4. #59550C2semidirect
5. #59176C2semidirect
6. #59120C2semidirect
7. #59102C2semidirect
8. #59067C2semidirect
9. #59049C2semidirect
10. #58999C2semidirect
11. #45386C2semidirect
12. #45004C2semidirect
13. #44453C2semidirect
14. #43535C2semidirect
15. #39957C2semidirect
16. #39888C2semidirect
17. #38952C2semidirect
18. #38921C2semidirect
19. #37734C2semidirect
20. #37670C2semidirect
21. #36517C2semidirect
22. #36433C2semidirect
23. #36412C2semidirect
24. #36411C2semidirect
25. #36410C2semidirect
26. #36150C2semidirect
27. #36117C2semidirect
28. #36101C2semidirect
29. #36015C2semidirect
30. #35802C2semidirect
31. #34744C2semidirect
32. #34700C2semidirect
33. #34316C2semidirect
34. #34201C2semidirect
35. C4×#547C2semidirect
37. C2×#557C22semidirect
43. C2×#553C22semidirect
44. C2×#553C22semidirect
50. C2×#550C22semidirect
51. C2×#550C22semidirect
54. C2×#547C22semidirect
56. C2×#540C22semidirect
57. C2×#540C22semidirect
60. C2×#532C22semidirect
64. C2×#529C22semidirect
67. C2×#520C22semidirect
70. C2×C4×#41C22semidirect
73. #2858C22semidirect
74. #2857C22semidirect
78. #2854C22semidirect
79. #2854C22semidirect
81. #2725C22semidirect
83. #2718C22semidirect
84. #2714C22semidirect
86. #2706C22semidirect
87. #2703C22semidirect
89. #2698C22semidirect
91. #2691C22semidirect
93. #2680C22semidirect
97. #2672C22semidirect
98. #2672C22semidirect
104. #2625C22semidirect
105. #2620C22semidirect
108. #2582C22semidirect
109. #2567C22semidirect
110. #2567C22semidirect
111. #2558C22semidirect
112. #2555C22semidirect
113. #2555C22semidirect
114. #2554C22semidirect
115. #2553C22semidirect
116. #2552C22semidirect
117. #2552C22semidirect
119. #2548C22semidirect
123. #2540C22semidirect
127. #2519C22semidirect
128. #2519C22semidirect
129. #2512C22semidirect
130. #2501C22semidirect
131. #2501C22semidirect
132. #2500C22semidirect
133. #2500C22semidirect
134. #2490C22semidirect
135. #2489C22semidirect
136. #2489C22semidirect
137. #2486C22semidirect
138. #2485C22semidirect
139. #2485C22semidirect
140. #2481C22semidirect
143. #2479C22semidirect
144. #2479C22semidirect
145. #2476C22semidirect
146. #2475C22semidirect
147. #2474C22semidirect
148. #2473C22semidirect
150. #2471C22semidirect
152. #2468C22semidirect
153. #2467C22semidirect
156. #2462C22semidirect
157. #2461C22semidirect
159. #2457C22semidirect
161. #2456C22semidirect
164. #2454C22semidirect
165. #2454C22semidirect
166. #2454C22semidirect
167. #2453C22semidirect
169. #2448C22semidirect
170. #2448C22semidirect
173. #2446C22semidirect
174. #2446C22semidirect
178. #2445C22semidirect
179. #2445C22semidirect
180. #2445C22semidirect
181. #2444C22semidirect
182. #2444C22semidirect
183. #2443C22semidirect
184. #2443C22semidirect
187. #2441C22semidirect
190. #2432C22semidirect
195. #2429C22semidirect
196. #2428C22semidirect
197. #2428C22semidirect
200. #2427C22semidirect
202. #2426C22semidirect
203. #2425C22semidirect
204. #2425C22semidirect
208. #2422C22semidirect
209. #2422C22semidirect
211. #2420C22semidirect
214. #2415C22semidirect
219. #2414C22semidirect
224. #2407C22semidirect
226. #2395C22semidirect
227. #2395C22semidirect
229. #2374C22semidirect
230. #2367C22semidirect
231. #2367C22semidirect
233. #2365C22semidirect
234. #2365C22semidirect
237. #2363C22semidirect
238. #2363C22semidirect
239. #2363C22semidirect
240. #2363C22semidirect
243. #2362C22semidirect
244. #2362C22semidirect
245. #2362C22semidirect
246. #2362C22semidirect
249. #2361C22semidirect
251. #2359C22semidirect
255. #2354C22semidirect
256. #2354C22semidirect
257. #2354C22semidirect
259. #2352C22semidirect
260. #2351C22semidirect
261. Q8×C4⋊C4C22semidirect
262. D4×C4⋊C4C22semidirect
263. #2345C22semidirect
264. #2344C22semidirect
266. #2341C22semidirect
267. #2341C22semidirect
269. #2339C22semidirect
270. #2335C22semidirect
271. #2324C22semidirect
274. #2317C22semidirect
275. #2311C22semidirect
276. C4×C4⋊Q8C22semidirect
277. C4×C4⋊Q8C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×C22⋊Q8C22semidirect
284. C4×#123C22semidirect
285. C4×#123C22semidirect
286. C4×#123C22semidirect
287. C4×#123C22semidirect
292. #2297C22semidirect
293. #2297C22semidirect
294. #2296C22semidirect
297. #2274C22semidirect
299. C42×D4C22semidirect
300. C2×C4×C4⋊C4C22semidirect
325. #547D4semidirect
977. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35172
C2×#34752
#596532
#595502
#591762
#591202
#591022
#590672
#590492
#589992
#453862
#450042
#444532
#435352
#399572
#398882
#389522
#389212
#377342
#376702
#365172
#364332
#364122
#364112
#364102
#361502
#361172
#361012
#360152
#358022
#347442
#347002
#343162
#342012
C4×#5472