Finite Group Databasebeta

← #7726984

Subgroups — #7726984

Order 512.

7126 conjugacy classes of subgroups.

The subgroup lattice has 1591 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3519C211yesmaximal, characteristic, complemented
2C2×#3455C211yesmaximal, characteristic, complemented
3#52084C212yesmaximal, complemented
4#52073C212yesmaximal, complemented
5#52009C212yesmaximal, complemented
6#52008C212yesmaximal, complemented
7#47718C214yesmaximal, complemented
8#47690C214yesmaximal, complemented
9#44082C212yesmaximal, complemented
10#43893C212yesmaximal, complemented
11#43495C212yesmaximal, complemented
12#43005C212yesmaximal, complemented
13#39846C214yesmaximal, complemented
14#38364C214yesmaximal, complemented
15#38362C214yesmaximal, complemented
16#37761C212yesmaximal, complemented
17#37760C212yesmaximal, complemented
18#37693C212yesmaximal, complemented
19#37692C212yesmaximal, complemented
20#37557C211yesmaximal, characteristic, complemented
21#36964C214yesmaximal, complemented
22#36216C214yesmaximal, complemented
23#35449C214yesmaximal, complemented
24#35240C211yesmaximal, characteristic, complemented
25#35118C211yesmaximal, characteristic, complemented
26C2×#2598C211yesmaximal, characteristic, complemented
27#34388C211yesmaximal, characteristic, complemented
28#3519—216no—
29C2×#555C2211yescharacteristic, complemented
30C2×#554C2211yescharacteristic, complemented
31C2×#553C2212yes—
32C2×#553C2212yescomplemented
33C2×#550C2211yescharacteristic, complemented
34C2×#546C2214yes—
35C2×#546C2212yescomplemented
36C2×D42C2212yes—
37C2×D42C2211yescharacteristic, complemented
38#3455—216no—
39C2×#542C2212yescomplemented
40C2×#542C2212yescomplemented
41C2×#541C2212yescomplemented
42C2×#540C2212yescomplemented
43C2×#540C2212yescomplemented
44C2×#539C2212yescomplemented
45C2×#539C2212yescomplemented
46C2×#538C2212yescomplemented
47C2×#538C2214yescomplemented
48C2×#538C2212yescomplemented
49C2×#533C2211yescharacteristic, complemented
50C2×#532C2211yescharacteristic
51C2×#529C2211yescharacteristic
52C2×#529C2214yescomplemented
53C2×#529C2214yescomplemented
54C2×#525C2212yes—
55C2×#525C2212yescomplemented
56C22×#121C2212yes—
57C2×#518C2212yescomplemented
58C2×C4×#41C2212yescomplemented
59C22×C4×D4C2211yescharacteristic
60C22×#117C2211yescharacteristic, complemented
61#2854C2214yescomplemented
62#2853C2212yescomplemented
63#2853C2214yescomplemented
64#2849C2212yescomplemented
65#2848C2212yescomplemented
66#2848C2212yescomplemented
67#2821C2212yescomplemented
68#2821C2212yescomplemented
69#2732C2214yescomplemented
70#2730C2214yescomplemented
71#2730C2214yescomplemented
72#2728C2214yescomplemented
73#2723C2214yescomplemented
74#2721C2214yescomplemented
75#2720C2214yescomplemented
76#2719C2214yescomplemented
77#2718C2214yescomplemented
78#2718C2214yescomplemented
79#2714C2214yescomplemented
80#2714C2214yescomplemented
81#2711C2214yescomplemented
82#2711C2214yescomplemented
83#2710C2214yescomplemented
84#2709C2214yescomplemented
85#2708C2214yescomplemented
86#2708C2214yescomplemented
87#2708C2214yescomplemented
88#2706C2214yescomplemented
89#2703C2214yescomplemented
90#2703C2214yescomplemented
91#2695C2214yescomplemented
92#2691C2214yescomplemented
93#2689C2214yescomplemented
94#2688C2214yescomplemented
95#2688C2214yescomplemented
96#2685C2214yescomplemented
97#2681C2214yescomplemented
98#2680C2214yescomplemented
99#2676C2214yescomplemented
100#2673C2214yescomplemented
101#2672C2214yescomplemented
102#2672C2214yescomplemented
103#2671C2214yescomplemented
104#2671C2214yescomplemented
105#2671C2214yescomplemented
106#2670C2214yescomplemented
107#2668C2214yescomplemented
108#2668C2214yescomplemented
109#2659C2212yescomplemented
110#2639C2212yes—
111#2635C2214yescomplemented
112#2634C2212yescomplemented
113#2634C2212yescomplemented
114#2633C2212yescomplemented
115#2633C2212yescomplemented
116#2633C2212yescomplemented
117#2632C2212yescomplemented
118#2630C2214yescomplemented
119#2627C2211yescharacteristic, complemented
120#2626C2211yescharacteristic, complemented
121#2618C2211yescharacteristic
122#2617C2211yescharacteristic
123#2611C2212yescomplemented
124#2610C2212yescomplemented
125#2609C2214yescomplemented
126#2602C2214yescomplemented
127#2601C2214yescomplemented
128#2600C2214yescomplemented
129#2599C2212yescomplemented
130#2599C2214yescomplemented
131#2598C2212yes—
132#2598C2212yes—
133#2598C2212yescomplemented
134#2598C2212yescomplemented
135#2598C2214yescomplemented
136#2598C2212yescomplemented
137#2598C2214yescomplemented
138#2564C2212yescomplemented
139#2564C2212yescomplemented
140#2559C2214yescomplemented
141#2555C2214yescomplemented
142#2547C2212yescomplemented
143#2543C2214yescomplemented
144#2542C2212yescomplemented
145#2539C2214yescomplemented
146#2536C2212yescomplemented
147#2536C2212yescomplemented
148#2534C2214yescomplemented
149#2534C2214yescomplemented
150#2521C2214yescomplemented
151#2502C2212yescomplemented
152#2501C2214yescomplemented
153#2500C2214yescomplemented
154#2498C2214yescomplemented
155#2498C2214yescomplemented
156#2496C2214yescomplemented
157#2488C2214yescomplemented
158#2485C2214yescomplemented
159#2482C2214yescomplemented
160#2482C2214yescomplemented
161#2481C2214yescomplemented
162#2480C2214yescomplemented
163#2479C2214yescomplemented
164#2479C2214yescomplemented
165#2475C2214yescomplemented
166#2475C2214yescomplemented
167#2473C2214yescomplemented
168#2472C2214yescomplemented
169#2472C2214yescomplemented
170#2468C2214yescomplemented
171#2467C2214yes—
172#2461C2214yescomplemented
173#2460C2214yescomplemented
174#2449C2214yescomplemented
175#2448C2214yescomplemented
176#2448C2214yescomplemented
177#2444C2214yescomplemented
178#2444C2214yescomplemented
179#2443C2214yescomplemented
180#2443C2214yescomplemented
181#2443C2214yescomplemented
182#2437C2214yescomplemented
183#2435C2212yes—
184#2430C2214yescomplemented
185#2425C2214yescomplemented
186#2425C2214yescomplemented
187#2424C2214yescomplemented
188#2423C2214yescomplemented
189#2421C2214yescomplemented
190#2419C2214yescomplemented
191#2419C2214yescomplemented
192#2418C2214yescomplemented
193#2418C2214yescomplemented
194#2418C2214yescomplemented
195#2418C2214yescomplemented
196#2418C2214yescomplemented
197#2412C2214yescomplemented
198#2410C2214yes—
199#2410C2214yescomplemented
200#2408C2214yescomplemented
201#2406C2214yescomplemented
202#2405C2214yescomplemented
203#2405C2214yescomplemented
204#2405C2214yescomplemented
205#2403C2214yescomplemented
206C2×#400C2211yescharacteristic, complemented
207C2×#399C2211yescharacteristic, complemented
208C2×#394C2211yescharacteristic
209C2×#392C2211yescharacteristic
210#2381C2212yescomplemented
211#2380C2212yescomplemented
212#2364C2212yescomplemented
213#2364C2212yescomplemented
214#2353C2214yescomplemented
215#2349C2214yescomplemented
216D4×C4⋊C4C2214yescomplemented
217#2339C2214yescomplemented
218D4×C22⋊C4C2214yescomplemented
219D4×C22⋊C4C2214yescomplemented
220#2337C2214yescomplemented
221#2326C2214yescomplemented
222#2325C2212yescomplemented
223#2325C2212yescomplemented
224#2325C2214yescomplemented
225#2322C2212yescomplemented
226#2321C2212yescomplemented
227#2321C2214yescomplemented
228#2318C2214yescomplemented
229C4×#123C2214yescomplemented
230C2×#388C2212yescomplemented
231C2×#388C2214yescomplemented
232C2×#386C2212yescomplemented
233C2×#386C2212yescomplemented
234C2×#385C2212yescomplemented
235#2283C2211yescharacteristic, complemented
236C2×#383C2211yescharacteristic, complemented
237C22×#41C2312yes—
238C22×#41C2312yes—
239C23×D4C2314yes—
240C23×D4C2311yescharacteristic
241C23×D4C2312yes—
242C23×D4C2312yes—
243C23×D4C2312yes—
244C24×C4C2311yescharacteristic
245C24×C4C2312yes—
246#555—28no—
247#554—28no—
248#553—216no—
249#553—216no—
250#550—28no—
251#546—232no—
252#546—216no—
253D42—28no—
254D42—216no—
255#542—216no—
256#542—216no—
257#541—216no—
258#540—216no—
259#540—216no—
260#539—216no—
261#539—216no—
262#538—232no—
263#538—216no—
264#538—216no—
265#533—28no—
266#532D4116yescomplemented
267C2×C4⋊Q8C2311yescharacteristic
268C2×C4⋊Q8C2311yescharacteristic
269C2×C4⋊Q8C2311yescharacteristic
270C2×#127C2312yes—
271C2×#127C2311yescharacteristic
272#529—232no—
273#529—232no—
274#529—28no—
275C2×#126C2312yes—
276C2×#126C2314yes—
277C2×#126C2314yes—
278C2×#126C2314yes—
279C2×#126C2314yes—
280C2×#126C2314yes—
281C2×#125C2311yescharacteristic
282C2×#125C2312yes—
283C2×#125C2314yes—
284C2×#125C2314yes—
285C2×#125C2312yes—
286C2×#124C2311yescharacteristic
287C2×#124C2314yes—
288C2×#124C2314yes—
289C2×#124C2314yes—
290C2×#124C2314yes—
291C2×#124C2312yes—
292#525—216no—
293#525—216no—
294C2×#123C2312yes—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×#123C2314yes—
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×#123C2312yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×#123C2314yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2311yescharacteristic
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2314yes—
315C2×C22⋊Q8C2314yes—
316C2×C22⋊Q8C2314yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×#121—216no—
322C2×#121C2314yes—
323C2×#121C2311yescharacteristic
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2312yes—
327C2×#121C2312yes—
328C2×#121C2314yes—
329C2×#121C2314yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2312yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#120C2314yes—
343C2×#120C2314yes—
344C2×#120C2314yes—
345C2×#120C2314yes—
346C2×#120C2312yes—
347C2×#120C2314yes—
348C2×#120C2314yes—
349#518—216no—
350C4×#41—216no—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×D4—28no—
357C2×C4×D4C2312yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2314yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2314yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×#117—28no—
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2314yes—
388C2×#117C2312yes—
389C2×#117C2312yes—
390C22×C4⋊C4C2311yescharacteristic
391C22×C4⋊C4C2311yescharacteristic
392C22×C4⋊C4C2311yescharacteristic
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2314yes—
396C22×C22⋊C4C2311yescharacteristic
397C22×C22⋊C4C2314yes—
398C22×C22⋊C4C2311yescharacteristic
399C22×C22⋊C4C2312yes—
400C22×C22⋊C4C2314yes—
401C22×C22⋊C4C2312yes—
402C22×C22⋊C4C2314yes—
403C22×C22⋊C4C2312yes—
404C22×C22⋊C4C2312yes—
405C22×C22⋊C4C2314yes—
406C22×C22⋊C4C2312yes—
407C22×C42C2311yescharacteristic
408C22×C42C2314yes—
409C22×C42C2311yescharacteristic
410#400C2312yes—
411#400C2312yes—
412#400C2314yes—
413#400C2312yes—
414#400C2312yes—
415#400C2314yes—
416#400C2312yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#399C2312yes—
421#399C2312yes—
422#399C2314yes—
423#399C2312yes—
424#399C2312yes—
425#399C2314yes—
426#399C2312yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2312yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2312yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#395C2312yes—
464#395C2312yes—
465#395C2314yes—
466#395C2312yes—
467#395C2314yes—
468#394C2312yes—
469#394C2314yes—
470#394C2312yes—
471#394C2312yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#393C2312yes—
496#393C2312yes—
497#393C2314yes—
498#393C2312yes—
499#392C2312yes—
500#392C2314yes—
501#392C2312yes—
502#392C2312yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#391C2314yes—
511#391C2314yes—
512#391C2314yes—
513#390C2314yes—
514#390C2314yes—
515#390C2314yes—
516#390C2314yes—
517#390C2314yes—
518#390C2314yes—
519#390C2314yes—
520#390C2314yes—
521#390C2314yes—
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#389C2314yes—
527#389C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#387C2314yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#386C2314yes—
575#386C2314yes—
576#386C2314yes—
577#386C2314yes—
578#386C2314yes—
579#386C2314yes—
580#386C2312yes—
581#386C2314yes—
582#386C2314yes—
583#386C2312yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#385C2314yes—
612#385C2314yes—
613#385C2314yes—
614#385C2314yes—
615#385C2312yes—
616#385C2314yes—
617#385C2312yes—
618#385C2314yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#384C2314yes—
639#384C2314yes—
640#383C2312yes—
641#383C2312yes—
642#383C2312yes—
643#383C2312yes—
644#383C2312yes—
645#382C2312yes—
646#382C2314yes—
647#381C2314yes—
648#381C2312yes—
649#381C2312yes—
650#381C2314yes—
651#381C2314yes—
652#380C2314yes—
653#380C2314yes—
654#380C2314yes—
655#380C2311yescharacteristic
656#380C2311yescharacteristic
657#380C2314yes—
658#380C2312yes—
659#380C2312yes—
660#380C2312yes—
661#380C2312yes—
662#380C2314yes—
663#380C2314yes—
664#380C2314yes—
665#380C2314yes—
666#379C2312yes—
667#379C2314yes—
668#379C2314yes—
669#379C2314yes—
670#379C2314yes—
671#379C2314yes—
672#379C2314yes—
673C4×C4⋊C4C2312yes—
674C4×C4⋊C4C2314yes—
675C4×C4⋊C4C2314yes—
676C4×C22⋊C4C2314yes—
677C4×C22⋊C4C2312yes—
678C4×C22⋊C4C2314yes—
679C4×C22⋊C4C2314yes—
680C4×C22⋊C4C2314yes—
681C4×C22⋊C4C2314yes—
682#376C2312yes—
683C2×#95C2311yescharacteristic
684C2×#95C2311yescharacteristic
685C2×#95C2314yes—
686C2×#95C2312yes—
687C2×#95C2312yes—
688C2×#95C2312yes—
689C2×#95C2314yes—
690C2×#95C2312yes—
691C25C2412yes—
692C25C2411yescharacteristic
693C25C2414yes—
694C2×#41—28no—
695C2×#41—44no—
696C2×#41—44no—
697C2×#41—82no—
698C2×#41—82no—
699C2×#41C2×D4116yes—
700C22×Q8C2412yes—
701C22×Q8C2412yes—
702C22×Q8C2411yescharacteristic
703C22×Q8C2412yes—
704C22×D4—28no—
705C22×D4—28no—
706C22×D4—216no—
707C22×D4—24no—
708C22×D4—44no—
709C22×D4—48no—
710C22×D4—44no—
711C22×D4—48no—
712C22×D4—48no—
713C22×D4—44no—
714C22×D4—82no—
715C22×D4—82no—
716C22×D4—82no—
717C22×D4C2411yescharacteristic
718C22×D4C2412yes—
719C22×D4C2414yes—
720C22×D4C2412yes—
721C22×D4C2414yes—
722C22×D4C2411yescharacteristic
723C22×D4C2414yes—
724C22×D4C2414yes—
725C22×D4C2411yescharacteristic
726C22×D4C2414yes—
727C22×D4C2414yes—
728C22×D4C2414yes—
729C22×D4C2414yes—
730C22×D4C2414yes—
731C22×D4C2414yes—
732C22×D4C2414yes—
733C22×D4C2412yes—
734C22×D4C2412yes—
735C22×D4C2412yes—
736C23×C4—24no—
737C23×C4—28no—
738C23×C4—42no—
739C23×C4—42no—
740C23×C4—82no—
741C23×C4—82no—
742C23×C4C2411yescharacteristic
743C23×C4C2411yescharacteristic
744C23×C4C2411yescharacteristic
745C23×C4C2411yescharacteristic
746C23×C4C2412yes—
747C23×C4C2412yes—
748C23×C4C2412yes—
749C23×C4C2414yes—
750C23×C4C2414yes—
751C23×C4C2414yes—
752C23×C4C2414yes—
753C23×C4C2412yes—
754C23×C4C2412yes—
755C23×C4C2412yes—
756C23×C4C2412yes—
757C23×C4C2412yes—
758C23×C4C2412yes—
759C23×C4C2412yes—
760C23×C4C2414yes—
761C23×C4C2414yes—
762C23×C4C2411yescharacteristic
763C23×C4C2411yescharacteristic
764C23×C4C2414yes—
765C4⋊Q8—24no—
766C4⋊Q8—24no—
767C4⋊Q8C2×D418yescomplemented
768#127—28no—
769#127C2×D418yescomplemented
770#126—216no—
771#126—216no—
772#126—216no—
773#126—216no—
774#126—216no—
775#126—28no—
776#125—216no—
777#125—216no—
778#125—28no—
779#125—24no—
780#125—28no—
781#124—216no—
782#124—216no—
783#124—216no—
784#124—24no—
785#124—48no—
786#124C2×D4116yescomplemented
787#123—216no—
788#123—216no—
789#123—216no—
790#123—28no—
791#123—216no—
792#123—216no—
793#123—216no—
794#123—216no—
795#123—216no—
796#123—48no—
797#123—44no—
798#123—84no—
799#123—84no—
800#123—84no—
801C22⋊Q8—28no—
802C22⋊Q8—28no—
803C22⋊Q8—216no—
804C22⋊Q8—24no—
805C22⋊Q8—28no—
806C22⋊Q8—28no—
807C22⋊Q8—28no—
808C22⋊Q8—216no—
809C22⋊Q8—216no—
810C22⋊Q8—82no—
811C22⋊Q8—82no—
812C22⋊Q8—82no—
813C22⋊Q8—82no—
814#121—216no—
815#121—28no—
816#121—28no—
817#121—28no—
818#121—28no—
819#121—216no—
820#121—216no—
821#121—216no—
822#121—28no—
823#121—24no—
824#121—216no—
825#121—28no—
826#121—28no—
827#121—216no—
828#121—216no—
829#121—48no—
830#121—84no—
831#121—84no—
832#121C2×D4116yes—
833#121C2×D4116yes—
834#120—216no—
835#120—216no—
836#120—216no—
837#120—216no—
838#120—48no—
839#120—44no—
840#120—84no—
841C4×Q8—28no—
842C4×Q8—28no—
843C4×Q8—28no—
844C4×Q8—28no—
845C4×Q8—24no—
846C4×D4—216no—
847C4×D4—216no—
848C4×D4—28no—
849C4×D4—28no—
850C4×D4—28no—
851C4×D4—216no—
852C4×D4—216no—
853C4×D4—216no—
854C4×D4—216no—
855C4×D4—28no—
856C4×D4—28no—
857C4×D4—216no—
858C4×D4—24no—
859C4×D4—28no—
860C4×D4—24no—
861C4×D4—24no—
862C4×D4—28no—
863C4×D4—24no—
864C4×D4—24no—
865C4×D4—48no—
866C4×D4—48no—
867C4×D4C2×D4116yescomplemented
868C4×D4C2×D4116yescomplemented
869#117—28no—
870#117—216no—
871#117—28no—
872#117—28no—
873#117—28no—
874#117—28no—
875#117—28no—
876#117—28no—
877#117—28no—
878C2×C4⋊C4—24no—
879C2×C4⋊C4—24no—
880C2×C4⋊C4—24no—
881C2×C4⋊C4—28no—
882C2×C4⋊C4—82no—
883C2×C4⋊C4—84no—
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C22⋊C4—24no—
929C2×C22⋊C4—24no—
930C2×C22⋊C4—28no—
931C2×C22⋊C4—216no—
932C2×C22⋊C4—216no—
933C2×C22⋊C4—44no—
934C2×C22⋊C4—48no—
935C2×C22⋊C4—44no—
936C2×C22⋊C4—82no—
937C2×C22⋊C4—84no—
938C2×C22⋊C4—82no—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C42—24no—
1001C2×C42—216no—
1002C2×C42C2×D418yes—
1003C2×C42C2412yes—
1004C2×C42C2414yes—
1005C2×C42C2412yes—
1006C2×C42C2414yes—
1007C2×C42C2412yes—
1008C2×C42C2414yes—
1009C2×C42C2414yes—
1010C2×C42C2414yes—
1011C2×C42C2414yes—
1012C2×C42C2414yes—
1013C2×C42C2411yescharacteristic
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2412yes—
1021#95C2412yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056C24—24no—
1057C24—22no—
1058C24—24no—
1059C24—24no—
1060C24—24no—
1061C24—22no—
1062C24—28no—
1063C24—28no—
1064C24—22no—
1065C24—42no—
1066C24—42no—
1067C24—42no—
1068C24—42no—
1069C24—42no—
1070C24—44no—
1071C24—44no—
1072C24—44no—
1073C24—44no—
1074C24—44no—
1075C24C2512yes—
1076C24C2512yes—
1077C24C2512yes—
1078C24C2514yes—
1079C24C2512yes—
1080C24C2511yescharacteristic
1081#41—432no—
1082#41—816no—
1083C2×Q8—22no—
1084C2×Q8—24no—
1085C2×Q8—24no—
1086C2×Q8—42no—
1087C2×Q8—42no—
1088C2×Q8—42no—
1089C2×Q8—42no—
1090C2×Q8—42no—
1091C2×Q8—44no—
1092C2×Q8C22×D418yes—
1093C2×D4—28no—
1094C2×D4—28no—
1095C2×D4—24no—
1096C2×D4—28no—
1097C2×D4—24no—
1098C2×D4—24no—
1099C2×D4—28no—
1100C2×D4—24no—
1101C2×D4—24no—
1102C2×D4—28no—
1103C2×D4—28no—
1104C2×D4—28no—
1105C2×D4—28no—
1106C2×D4—28no—
1107C2×D4—28no—
1108C2×D4—22no—
1109C2×D4—24no—
1110C2×D4—22no—
1111C2×D4—22no—
1112C2×D4—28no—
1113C2×D4—42no—
1114C2×D4—44no—
1115C2×D4—42no—
1116C2×D4—44no—
1117C2×D4—42no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—42no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—416no—
1143C2×D4—432no—
1144C2×D4—816no—
1145C2×D4—832no—
1146C2×D4—816no—
1147C2×D4C22×D4116yes—
1148C2×D4C22×D418yes—
1149C2×D4C22×D418yes—
1150C2×D4C22×D418yes—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—22no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—28no—
1159C22×C4—28no—
1160C22×C4—24no—
1161C22×C4—28no—
1162C22×C4—24no—
1163C22×C4—24no—
1164C22×C4—24no—
1165C22×C4—24no—
1166C22×C4—24no—
1167C22×C4—24no—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—28no—
1171C22×C4—24no—
1172C22×C4—42no—
1173C22×C4—42no—
1174C22×C4—42no—
1175C22×C4—42no—
1176C22×C4—42no—
1177C22×C4—42no—
1178C22×C4—42no—
1179C22×C4—42no—
1180C22×C4—42no—
1181C22×C4—42no—
1182C22×C4—44no—
1183C22×C4—44no—
1184C22×C4—44no—
1185C22×C4—44no—
1186C22×C4—42no—
1187C22×C4—44no—
1188C22×C4—42no—
1189C22×C4—42no—
1190C22×C4—42no—
1191C22×C4—44no—
1192C22×C4—42no—
1193C22×C4—42no—
1194C22×C4—44no—
1195C22×C4—42no—
1196C22×C4—44no—
1197C22×C4—44no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—44no—
1203C22×C4—44no—
1204C22×C4—44no—
1205C22×C4—44no—
1206C22×C4—44no—
1207C22×C4—42no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—416no—
1212C22×C4—816no—
1213C22×C4C22×D414yes—
1214C22×C4C22×D4116yes—
1215C22×C4C22×D414yes—
1216C22×C4C22×D414yes—
1217C22×C4C2514yes—
1218C22×C4C2514yes—
1219C22×C4C2514yes—
1220C22×C4C2512yes—
1221C22×C4C2514yes—
1222C22×C4C2512yes—
1223C22×C4C2514yes—
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2514yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C22×C4C2514yes—
1237C22×C4C2511yescharacteristic
1238C4⋊C4—22no—
1239C4⋊C4—22no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—24no—
1244C4⋊C4—22no—
1245C4⋊C4—24no—
1246C4⋊C4—28no—
1247C4⋊C4—22no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—28no—
1253C4⋊C4—28no—
1254C4⋊C4—24no—
1255C4⋊C4—28no—
1256C4⋊C4—28no—
1257C4⋊C4—28no—
1258C4⋊C4—24no—
1259C4⋊C4—28no—
1260C4⋊C4—28no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4C22×D418yes—
1281C4⋊C4C22×D418yes—
1282C22⋊C4—28no—
1283C22⋊C4—28no—
1284C22⋊C4—28no—
1285C22⋊C4—28no—
1286C22⋊C4—24no—
1287C22⋊C4—28no—
1288C22⋊C4—28no—
1289C22⋊C4—28no—
1290C22⋊C4—28no—
1291C22⋊C4—28no—
1292C22⋊C4—24no—
1293C22⋊C4—24no—
1294C22⋊C4—28no—
1295C22⋊C4—24no—
1296C22⋊C4—24no—
1297C22⋊C4—28no—
1298C22⋊C4—24no—
1299C22⋊C4—24no—
1300C22⋊C4—24no—
1301C22⋊C4—24no—
1302C22⋊C4—24no—
1303C22⋊C4—28no—
1304C22⋊C4—24no—
1305C22⋊C4—24no—
1306C22⋊C4—24no—
1307C22⋊C4—28no—
1308C22⋊C4—24no—
1309C22⋊C4—24no—
1310C22⋊C4—28no—
1311C22⋊C4—28no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4C22×D4116yes—
1342C22⋊C4C22×D4116yes—
1343C42—24no—
1344C42—24no—
1345C42—28no—
1346C42—28no—
1347C42—28no—
1348C42—28no—
1349C42—24no—
1350C42—44no—
1351C42—44no—
1352C42—44no—
1353C42C22×D414yes—
1354C42C22×D414yes—
1355C42C22×D414yes—
1356C42C22×D414yes—
1357C23—22no—
1358C23—22no—
1359C23—22no—
1360C23—22no—
1361C23—24no—
1362C23—24no—
1363C23—24no—
1364C23—24no—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—24no—
1369C23—22no—
1370C23—24no—
1371C23—22no—
1372C23—22no—
1373C23—22no—
1374C23—22no—
1375C23—24no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—24no—
1381C23—22no—
1382C23—22no—
1383C23—22no—
1384C23—22no—
1385C23—24no—
1386C23—24no—
1387C23—22no—
1388C23—48no—
1389C23—48no—
1390C23—48no—
1391C23—416no—
1392C23—48no—
1393C23—44no—
1394C23—48no—
1395C23—84no—
1396C23—82no—
1397C23—82no—
1398C23—84no—
1399C23—84no—
1400C23—84no—
1401C23—88no—
1402C23—88no—
1403C23—88no—
1404C23—88no—
1405C23—164no—
1406C23—164no—
1407C23C23×D418yes—
1408C23C23×D412yes—
1409C23#58514yes—
1410C23#58512yes—
1411C23#58512yes—
1412C23C2611yescharacteristic
1413Q8—48no—
1414Q8—44no—
1415Q8—84no—
1416Q8—84no—
1417D4—28no—
1418D4—232no—
1419D4—48no—
1420D4—48no—
1421D4—48no—
1422D4—48no—
1423D4—44no—
1424D4—44no—
1425D4—416no—
1426D4—48no—
1427D4—88no—
1428D4—88no—
1429D4—88no—
1430D4—88no—
1431D4—88no—
1432D4—88no—
1433D4—88no—
1434D4—88no—
1435D4—164no—
1436C2×C4—22no—
1437C2×C4—24no—
1438C2×C4—24no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—28no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—24no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—24no—
1458C2×C4—24no—
1459C2×C4—24no—
1460C2×C4—24no—
1461C2×C4—24no—
1462C2×C4—24no—
1463C2×C4—24no—
1464C2×C4—24no—
1465C2×C4—24no—
1466C2×C4—24no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—22no—
1473C2×C4—24no—
1474C2×C4—24no—
1475C2×C4—24no—
1476C2×C4—24no—
1477C2×C4—24no—
1478C2×C4—24no—
1479C2×C4—24no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—24no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—44no—
1486C2×C4—44no—
1487C2×C4—416no—
1488C2×C4—48no—
1489C2×C4—48no—
1490C2×C4—48no—
1491C2×C4—48no—
1492C2×C4—48no—
1493C2×C4—44no—
1494C2×C4—84no—
1495C2×C4—84no—
1496C2×C4—88no—
1497C2×C4—82no—
1498C2×C4—88no—
1499C2×C4—82no—
1500C2×C4—88no—
1501C2×C4—84no—
1502C2×C4—84no—
1503C2×C4—84no—
1504C2×C4—88no—
1505C2×C4—88no—
1506C2×C4—164no—
1507C2×C4C23×D412yes—
1508C2×C4C23×D418yes—
1509C2×C4C23×D412yes—
1510C2×C4C23×D412yes—
1511C2×C4C23×D412yes—
1512C2×C4C23×D412yes—
1513C2×C4C23×D412yes—
1514C22—22no—
1515C22—22no—
1516C22—24no—
1517C22—24no—
1518C22—28no—
1519C22—28no—
1520C22—24no—
1521C22—28no—
1522C22—24no—
1523C22—24no—
1524C22—42no—
1525C22—42no—
1526C22—44no—
1527C22—44no—
1528C22—42no—
1529C22—44no—
1530C22—42no—
1531C22—44no—
1532C22—42no—
1533C22—42no—
1534C22—42no—
1535C22—42no—
1536C22—42no—
1537C22—42no—
1538C22—42no—
1539C22—42no—
1540C22—42no—
1541C22—44no—
1542C22—42no—
1543C22—42no—
1544C22—44no—
1545C22—44no—
1546C22—44no—
1547C22—42no—
1548C22—42no—
1549C22—816no—
1550C22—88no—
1551C22—1616no—
1552C22#348514yes—
1553C22C24×D411yescharacteristic
1554C22C2×#58511yescharacteristic
1555C22C2×#58511yescharacteristic
1556C22C2×#58512yes—
1557C22H(7,𝔽2)12yes—
1558C4—22no—
1559C4—22no—
1560C4—28no—
1561C4—22no—
1562C4—22no—
1563C4—22no—
1564C4—22no—
1565C4—42no—
1566C4—42no—
1567C4—42no—
1568C4—42no—
1569C4—44no—
1570C4—42no—
1571C4—42no—
1572C4—42no—
1573C4—42no—
1574C4—44no—
1575C4—44no—
1576C4—44no—
1577C4—44no—
1578C4—44no—
1579C2—24no—
1580C2—44no—
1581C2—48no—
1582C2—82no—
1583C2—82no—
1584C2—82no—
1585C2C2×#348511yescharacteristic
1586C2#6281111yescharacteristic
1587C2#6285211yescharacteristic
1588C2#6290612yes—
1589C2#6296312yes—
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×#3519C2semidirect
2. C2×#3455C2semidirect
3. #52084C2semidirect
4. #52073C2semidirect
5. #52009C2semidirect
6. #52008C2semidirect
7. #47718C2semidirect
8. #47690C2semidirect
9. #44082C2semidirect
10. #43893C2semidirect
11. #43495C2semidirect
12. #43005C2semidirect
13. #39846C2semidirect
14. #38364C2semidirect
15. #38362C2semidirect
16. #37761C2semidirect
17. #37760C2semidirect
18. #37693C2semidirect
19. #37692C2semidirect
20. #37557C2semidirect
21. #36964C2semidirect
22. #36216C2semidirect
23. #35449C2semidirect
24. #35240C2semidirect
25. #35118C2semidirect
26. C2×#2598C2semidirect
27. #34388C2semidirect
29. C2×#555C22semidirect
30. C2×#554C22semidirect
32. C2×#553C22semidirect
33. C2×#550C22semidirect
35. C2×#546C22semidirect
37. C2×D42C22semidirect
39. C2×#542C22semidirect
40. C2×#542C22semidirect
41. C2×#541C22semidirect
42. C2×#540C22semidirect
43. C2×#540C22semidirect
44. C2×#539C22semidirect
45. C2×#539C22semidirect
46. C2×#538C22semidirect
47. C2×#538C22semidirect
48. C2×#538C22semidirect
49. C2×#533C22semidirect
52. C2×#529C22semidirect
53. C2×#529C22semidirect
55. C2×#525C22semidirect
57. C2×#518C22semidirect
58. C2×C4×#41C22semidirect
60. C22×#117C22semidirect
61. #2854C22semidirect
62. #2853C22semidirect
63. #2853C22semidirect
64. #2849C22semidirect
65. #2848C22semidirect
66. #2848C22semidirect
67. #2821C22semidirect
68. #2821C22semidirect
69. #2732C22semidirect
70. #2730C22semidirect
71. #2730C22semidirect
72. #2728C22semidirect
73. #2723C22semidirect
74. #2721C22semidirect
75. #2720C22semidirect
76. #2719C22semidirect
77. #2718C22semidirect
78. #2718C22semidirect
79. #2714C22semidirect
80. #2714C22semidirect
81. #2711C22semidirect
82. #2711C22semidirect
83. #2710C22semidirect
84. #2709C22semidirect
85. #2708C22semidirect
86. #2708C22semidirect
87. #2708C22semidirect
88. #2706C22semidirect
89. #2703C22semidirect
90. #2703C22semidirect
91. #2695C22semidirect
92. #2691C22semidirect
93. #2689C22semidirect
94. #2688C22semidirect
95. #2688C22semidirect
96. #2685C22semidirect
97. #2681C22semidirect
98. #2680C22semidirect
99. #2676C22semidirect
100. #2673C22semidirect
101. #2672C22semidirect
102. #2672C22semidirect
103. #2671C22semidirect
104. #2671C22semidirect
105. #2671C22semidirect
106. #2670C22semidirect
107. #2668C22semidirect
108. #2668C22semidirect
109. #2659C22semidirect
111. #2635C22semidirect
112. #2634C22semidirect
113. #2634C22semidirect
114. #2633C22semidirect
115. #2633C22semidirect
116. #2633C22semidirect
117. #2632C22semidirect
118. #2630C22semidirect
119. #2627C22semidirect
120. #2626C22semidirect
123. #2611C22semidirect
124. #2610C22semidirect
125. #2609C22semidirect
126. #2602C22semidirect
127. #2601C22semidirect
128. #2600C22semidirect
129. #2599C22semidirect
130. #2599C22semidirect
133. #2598C22semidirect
134. #2598C22semidirect
135. #2598C22semidirect
136. #2598C22semidirect
137. #2598C22semidirect
138. #2564C22semidirect
139. #2564C22semidirect
140. #2559C22semidirect
141. #2555C22semidirect
142. #2547C22semidirect
143. #2543C22semidirect
144. #2542C22semidirect
145. #2539C22semidirect
146. #2536C22semidirect
147. #2536C22semidirect
148. #2534C22semidirect
149. #2534C22semidirect
150. #2521C22semidirect
151. #2502C22semidirect
152. #2501C22semidirect
153. #2500C22semidirect
154. #2498C22semidirect
155. #2498C22semidirect
156. #2496C22semidirect
157. #2488C22semidirect
158. #2485C22semidirect
159. #2482C22semidirect
160. #2482C22semidirect
161. #2481C22semidirect
162. #2480C22semidirect
163. #2479C22semidirect
164. #2479C22semidirect
165. #2475C22semidirect
166. #2475C22semidirect
167. #2473C22semidirect
168. #2472C22semidirect
169. #2472C22semidirect
170. #2468C22semidirect
172. #2461C22semidirect
173. #2460C22semidirect
174. #2449C22semidirect
175. #2448C22semidirect
176. #2448C22semidirect
177. #2444C22semidirect
178. #2444C22semidirect
179. #2443C22semidirect
180. #2443C22semidirect
181. #2443C22semidirect
182. #2437C22semidirect
184. #2430C22semidirect
185. #2425C22semidirect
186. #2425C22semidirect
187. #2424C22semidirect
188. #2423C22semidirect
189. #2421C22semidirect
190. #2419C22semidirect
191. #2419C22semidirect
192. #2418C22semidirect
193. #2418C22semidirect
194. #2418C22semidirect
195. #2418C22semidirect
196. #2418C22semidirect
197. #2412C22semidirect
199. #2410C22semidirect
200. #2408C22semidirect
201. #2406C22semidirect
202. #2405C22semidirect
203. #2405C22semidirect
204. #2405C22semidirect
205. #2403C22semidirect
206. C2×#400C22semidirect
207. C2×#399C22semidirect
210. #2381C22semidirect
211. #2380C22semidirect
212. #2364C22semidirect
213. #2364C22semidirect
214. #2353C22semidirect
215. #2349C22semidirect
216. D4×C4⋊C4C22semidirect
217. #2339C22semidirect
218. D4×C22⋊C4C22semidirect
219. D4×C22⋊C4C22semidirect
220. #2337C22semidirect
221. #2326C22semidirect
222. #2325C22semidirect
223. #2325C22semidirect
224. #2325C22semidirect
225. #2322C22semidirect
226. #2321C22semidirect
227. #2321C22semidirect
228. #2318C22semidirect
229. C4×#123C22semidirect
230. C2×#388C22semidirect
231. C2×#388C22semidirect
232. C2×#386C22semidirect
233. C2×#386C22semidirect
234. C2×#385C22semidirect
235. #2283C22semidirect
236. C2×#383C22semidirect
266. #532D4semidirect
767. C4⋊Q8C2×D4semidirect
769. #127C2×D4semidirect
786. #124C2×D4semidirect
867. C4×D4C2×D4semidirect
868. C4×D4C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35192
C2×#34552
#520842
#520732
#520092
#520082
#477182
#476902
#440822
#438932
#434952
#430052
#398462
#383642
#383622
#377612
#377602
#376932
#376922
#375572
#369642
#362162
#354492
#352402
#351182
C2×#25982
#343882