Finite Group Databasebeta

← #7696054

Subgroups — #7696054

Order 512.

7814 conjugacy classes of subgroups.

The subgroup lattice has 1546 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3523C211yesmaximal, characteristic, complemented
2C2×#3486C211yesmaximal, characteristic, complemented
3#59813C213yesmaximal, complemented
4#59036C213yesmaximal, complemented
5#59019C213yesmaximal, complemented
6#52117C213yesmaximal, complemented
7#45416C213yesmaximal, complemented
8#45336C213yesmaximal, complemented
9#45323C213yesmaximal, complemented
10#45322C213yesmaximal, complemented
11#45246C213yesmaximal, complemented
12#45113C213yesmaximal, complemented
13#39435C213yesmaximal, complemented
14#38903C213yesmaximal, complemented
15#38091C213yesmaximal, complemented
16#37844C213yesmaximal, complemented
17#37749C213yesmaximal, complemented
18#37671C213yesmaximal, complemented
19Q8×#121C211yesmaximal, characteristic, complemented
20Q8×#120C211yesmaximal, characteristic, complemented
21#36434C211yesmaximal, characteristic, complemented
22#35854C211yesmaximal, characteristic, complemented
23#35845C211yesmaximal, characteristic, complemented
24#35801C211yesmaximal, characteristic, complemented
25#35771C211yesmaximal, characteristic, complemented
26#35723C211yesmaximal, characteristic, complemented
27#35687C211yesmaximal, characteristic, complemented
28#34291C211yesmaximal, characteristic, complemented
29#34291C211yesmaximal, characteristic, complemented
30#34257C211yesmaximal, characteristic, complemented
31#34173C211yesmaximal, characteristic, complemented
32C22×2−1+4C2211yescharacteristic
33C24×Q8C2211yescharacteristic
34#3523—216no—
35#3486—216no—
36C2×#557C2211yescharacteristic, complemented
37C2×#557C2213yescomplemented
38C2×#556C2213yes—
39C2×#552C2213yes—
40C2×#552C2213yescomplemented
41C2×D4×Q8C2213yes—
42C2×D4×Q8C2213yes—
43C2×D4×Q8C2211yescharacteristic
44C2×D4×Q8C2211yescharacteristic
45C2×D4×Q8C2211yescharacteristic
46C2×D4×Q8C2211yescharacteristic
47C2×D4×Q8C2211yescharacteristic
48C2×D4×Q8C2211yescharacteristic, complemented
49C2×#548C2211yescharacteristic
50C2×#548C2213yes—
51C2×#548C2211yescharacteristic
52C2×#548C2213yes—
53C2×#548C2211yescharacteristic, complemented
54C2×#541C2213yes—
55C2×#541C2213yescomplemented
56C2×#536C2213yes—
57C2×#536C2213yes—
58C2×#533C2213yescomplemented
59C2×#529C2213yes—
60C2×#525C2213yes—
61C2×#525C2213yes—
62C2×#519C2211yescharacteristic
63C2×#519C2211yescharacteristic
64C2×#519C2211yescharacteristic
65C2×#519C2211yescharacteristic, complemented
66C22×C4×Q8C2211yescharacteristic, complemented
67C22×C4×Q8C2211yescharacteristic, complemented
68#2857C2213yescomplemented
69#2850C2213yescomplemented
70#2848C2213yes—
71#2715C2216yescomplemented
72#2715C2216yescomplemented
73#2713C2216yescomplemented
74#2713C2216yescomplemented
75#2707C2216yes—
76#2704C2216yescomplemented
77#2698C2216yes—
78#2696C2213yes—
79#2695C2213yes—
80#2694C2216yes—
81#2694C2213yes—
82#2693C2213yes—
83#2692C2213yes—
84#2692C2216yescomplemented
85#2691C2213yes—
86#2690C2213yes—
87#2690C2216yescomplemented
88#2690C2216yescomplemented
89#2689C2213yes—
90#2688C2213yes—
91#2687C2213yes—
92#2686C2213yes—
93#2686C2216yes—
94#2685C2213yes—
95#2685C2216yes—
96#2684C2213yes—
97#2678C2213yes—
98#2671C2213yes—
99#2668C2211yescharacteristic
100#2640C2213yescomplemented
101#2628C2213yes—
102#2625C2213yescomplemented
103#2624C2213yes—
104#2620C2213yes—
105#2616C2213yes—
106#2592C2213yescomplemented
107#2581C2213yescomplemented
108#2567C2213yescomplemented
109#2563C2213yes—
110#2559C2216yes—
111#2558C2216yes—
112#2557C2216yescomplemented
113#2556C2216yescomplemented
114#2553C2216yes—
115#2550C2216yescomplemented
116#2546C2213yescomplemented
117#2545C2213yescomplemented
118#2545C2213yescomplemented
119#2538C2213yes—
120#2538C2213yescomplemented
121#2536C2213yes—
122#2521C2216yescomplemented
123#2500C2213yes—
124#2499C2213yescomplemented
125#2490C2213yes—
126#2490C2213yes—
127#2489C2213yescomplemented
128#2489C2213yescomplemented
129#2485C2213yes—
130#2485C2213yes—
131#2477C2216yescomplemented
132#2471C2216yes—
133#2468C2216yes—
134#2466C2216yes—
135#2466C2216yes—
136#2465C2216yes—
137#2465C2216yescomplemented
138#2465C2216yescomplemented
139#2460C2216yes—
140#2460C2216yes—
141#2458C2216yes—
142#2457C2216yes—
143#2454C2216yes—
144#2453C2213yescomplemented
145#2453C2213yescomplemented
146#2448C2213yescomplemented
147#2448C2213yescomplemented
148#2446C2213yescomplemented
149#2446C2213yescomplemented
150#2441C2213yes—
151#2441C2213yes—
152#2439C2216yescomplemented
153#2434C2213yes—
154#2434C2213yes—
155#2434C2213yes—
156#2434C2213yescomplemented
157#2432C2213yes—
158#2432C2213yescomplemented
159#2429C2213yes—
160#2429C2213yescomplemented
161#2429C2213yescomplemented
162#2429C2213yescomplemented
163#2426C2213yes—
164#2426C2213yescomplemented
165#2423C2213yes—
166#2423C2213yescomplemented
167#2421C2213yes—
168#2421C2213yescomplemented
169#2417C2213yes—
170#2417C2213yescomplemented
171#2417C2213yescomplemented
172#2416C2213yes—
173#2415C2213yes—
174#2414C2213yes—
175#2409C2213yes—
176#2409C2213yes—
177#2409C2213yes—
178#2409C2213yescomplemented
179#2407C2213yes—
180#2407C2213yescomplemented
181#2398C2213yes—
182#2396C2213yes—
183#2395C2213yes—
184#2395C2213yes—
185#2392C2213yes—
186#2388C2213yes—
187#2365C2213yescomplemented
188#2365C2213yescomplemented
189#2363C2216yes—
190#2362C2213yes—
191#2362C2213yes—
192#2360C2213yescomplemented
193#2360C2213yescomplemented
194#2352C2213yes—
195#2352C2213yes—
196#2351C2211yescharacteristic, complemented
197#2351C2211yescharacteristic, complemented
198Q8×C4⋊C4C2211yescharacteristic, complemented
199Q8×C4⋊C4C2211yescharacteristic, complemented
200#2341C2213yes—
201#2341C2213yes—
202#2341C2211yescharacteristic, complemented
203#2341C2211yescharacteristic, complemented
204#2341C2211yescharacteristic, complemented
205Q8×C22⋊C4C2211yescharacteristic
206Q8×C22⋊C4C2211yescharacteristic
207Q8×C22⋊C4C2213yes—
208Q8×C22⋊C4C2213yes—
209Q8×C22⋊C4C2211yescharacteristic
210Q8×C22⋊C4C2211yescharacteristic
211Q8×C22⋊C4C2213yes—
212Q8×C22⋊C4C2211yescharacteristic
213Q8×C22⋊C4C2213yes—
214Q8×C22⋊C4C2211yescharacteristic
215Q8×C22⋊C4C2211yescharacteristic
216Q8×C22⋊C4C2213yescomplemented
217Q8×C22⋊C4C2213yescomplemented
218Q8×C22⋊C4C2211yescharacteristic, complemented
219Q8×C22⋊C4C2211yescharacteristic, complemented
220#2327C2213yescomplemented
221#2327C2213yescomplemented
222#2323C2213yes—
223#2323C2213yes—
224#2311C2213yes—
225#2311C2213yescomplemented
226#2310C2213yes—
227#2310C2213yes—
228C4×C22⋊Q8C2213yescomplemented
229C4×C22⋊Q8C2213yescomplemented
230C4×#121C2213yes—
231C4×#121C2213yes—
232C4×#120C2213yes—
233#2297C2213yes—
234#2297C2213yescomplemented
235#2290C2213yes—
236#2290C2213yes—
237#2280C2213yes—
238#2280C2213yes—
239#2276C2211yescharacteristic, complemented
240C2×2−1+4—28no—
241C2×2−1+4—28no—
242C2×2−1+4—44no—
243C22×#41C2311yescharacteristic
244C22×#41C2313yes—
245C22×#41C2313yes—
246C22×#41C2313yes—
247C23×Q8—28no—
248C23×Q8—28no—
249C23×Q8—44no—
250C23×Q8C2311yescharacteristic
251C23×Q8C2311yescharacteristic
252C23×Q8C2313yes—
253C23×Q8C2313yes—
254C23×Q8C2313yes—
255C23×Q8C2313yes—
256C23×Q8C2311yescharacteristic
257C23×Q8C2311yescharacteristic
258C23×Q8C2311yescharacteristic
259C24×C4C2313yes—
260#557—224no—
261#557—28no—
262#556—224no—
263#552—224no—
264#552—224no—
265D4×Q8—28no—
266D4×Q8—28no—
267D4×Q8—28no—
268D4×Q8—28no—
269D4×Q8—224no—
270D4×Q8—224no—
271D4×Q8—44no—
272D4×Q8D4116yescomplemented
273#548—28no—
274#548—224no—
275#548—28no—
276#548—224no—
277#548—44no—
278#541—224no—
279#541—224no—
280#536—224no—
281#536—224no—
282#533—224no—
283C2×C4⋊Q8C2313yes—
284C2×C4⋊Q8C2313yes—
285C2×C4⋊Q8C2313yes—
286C2×C4⋊Q8C2316yes—
287C2×C4⋊Q8C2313yes—
288C2×C4⋊Q8C2313yes—
289C2×C4⋊Q8C2313yes—
290C2×C4⋊Q8C2313yes—
291#529—224no—
292C2×#126C2313yes—
293C2×#126C2313yes—
294C2×#126C2316yes—
295C2×#126C2316yes—
296C2×#125C2313yes—
297C2×#125C2316yes—
298C2×#125C2313yes—
299C2×#125C2316yes—
300C2×#125C2313yes—
301C2×#125C2316yes—
302C2×#124C2313yes—
303C2×#124C2313yes—
304C2×#124C2313yes—
305C2×#124C2316yes—
306C2×#124C2313yes—
307#525—224no—
308#525—224no—
309C2×#123C2313yes—
310C2×#123C2313yes—
311C2×#123C2316yes—
312C2×#123C2313yes—
313C2×#123C2313yes—
314C2×C22⋊Q8C2313yes—
315C2×C22⋊Q8C2313yes—
316C2×C22⋊Q8C2313yes—
317C2×C22⋊Q8C2313yes—
318C2×C22⋊Q8C2313yes—
319C2×C22⋊Q8C2313yes—
320C2×C22⋊Q8C2313yes—
321C2×C22⋊Q8C2313yes—
322C2×C22⋊Q8C2313yes—
323C2×C22⋊Q8C2313yes—
324C2×C22⋊Q8C2313yes—
325C2×C22⋊Q8C2313yes—
326C2×C22⋊Q8C2313yes—
327C2×C22⋊Q8C2316yes—
328C2×C22⋊Q8C2316yes—
329C2×C22⋊Q8C2313yes—
330C2×C22⋊Q8C2313yes—
331C2×C22⋊Q8C2313yes—
332C2×C22⋊Q8C2313yes—
333C2×C22⋊Q8C2313yes—
334C2×#121C2313yes—
335C2×#121C2313yes—
336C2×#121C2313yes—
337C2×#121C2313yes—
338C2×#121C2313yes—
339C2×#121C2311yescharacteristic
340C2×#121C2311yescharacteristic
341C2×#121C2313yes—
342C2×#120C2311yescharacteristic
343C2×#120C2313yes—
344C2×#120C2311yescharacteristic
345#519—28no—
346#519—28no—
347#519—28no—
348#519—44no—
349C2×C4×Q8—28no—
350C2×C4×Q8—44no—
351C2×C4×Q8C2313yes—
352C2×C4×Q8C2313yes—
353C2×C4×Q8C2313yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2313yes—
362C2×C4×Q8C2313yes—
363C2×C4×Q8C2313yes—
364C2×C4×Q8C2313yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2313yes—
367C2×C4×Q8C2313yes—
368C2×C4×Q8C2316yes—
369C2×C4×Q8C2313yes—
370C2×C4×Q8C2313yes—
371C2×C4×Q8C2313yes—
372C2×C4×Q8C2313yes—
373C2×C4×Q8C2311yescharacteristic
374C2×C4×D4C2313yes—
375C2×C4×D4C2313yes—
376C2×C4×D4C2316yes—
377C2×C4×D4C2313yes—
378C2×C4×D4C2313yes—
379C2×C4×D4C2313yes—
380C2×C4×D4C2313yes—
381C2×C4×D4C2316yes—
382C2×C4×D4C2313yes—
383C2×C4×D4C2313yes—
384C2×C4×D4C2313yes—
385C2×#117C2313yes—
386C2×#117C2313yes—
387C2×#117C2313yes—
388C2×#117C2313yes—
389C2×#117C2313yes—
390C2×#117C2313yes—
391C2×#117C2316yes—
392C2×#117C2313yes—
393C2×#117C2313yes—
394C22×C4⋊C4C2313yes—
395C22×C4⋊C4C2313yes—
396C22×C42C2313yes—
397C22×C42C2313yes—
398#400C2313yes—
399#400C2316yes—
400#400C2316yes—
401#400C2313yes—
402#400C2313yes—
403#400C2313yes—
404#400C2313yes—
405#399C2316yes—
406#399C2316yes—
407#399C2313yes—
408#399C2313yes—
409#399C2311yescharacteristic
410#398C2316yes—
411#398C2313yes—
412#398C2313yes—
413#398C2313yes—
414#398C2313yes—
415#398C2313yes—
416#398C2316yes—
417#398C2316yes—
418#398C2316yes—
419#397C2313yes—
420#397C2316yes—
421#397C2313yes—
422#397C2316yes—
423#397C2316yes—
424#397C2316yes—
425#397C2313yes—
426#397C2311yescharacteristic
427#397C2313yes—
428#397C2313yes—
429#397C2313yes—
430#397C2313yes—
431#397C2311yescharacteristic
432#396C2316yes—
433#396C2316yes—
434#396C2313yes—
435#396C2313yes—
436#396C2313yes—
437#396C2313yes—
438#396C2316yes—
439#396C2316yes—
440#396C2316yes—
441#396C2316yes—
442#395C2313yes—
443#395C2316yes—
444#395C2316yes—
445#395C2313yes—
446#395C2316yes—
447#395C2316yes—
448#395C2316yes—
449#394C2313yes—
450#394C2316yes—
451#394C2316yes—
452#394C2313yes—
453#394C2316yes—
454#394C2313yes—
455#394C2316yes—
456#394C2313yes—
457#394C2313yes—
458#394C2311yescharacteristic
459#394C2313yes—
460#394C2311yescharacteristic
461#394C2313yes—
462#394C2313yes—
463#394C2313yes—
464#394C2313yes—
465#394C2316yes—
466#393C2313yes—
467#393C2316yes—
468#393C2313yes—
469#393C2313yes—
470#393C2313yes—
471#393C2316yes—
472#392C2311yescharacteristic
473#392C2313yes—
474#392C2313yes—
475#392C2313yes—
476#391C2313yes—
477#391C2313yes—
478#391C2313yes—
479#391C2313yes—
480#391C2313yes—
481#391C2313yes—
482#391C2313yes—
483#391C2313yes—
484#391C2316yes—
485#391C2316yes—
486#391C2316yes—
487#391C2316yes—
488#391C2316yes—
489#391C2313yes—
490#391C2313yes—
491#391C2313yes—
492#391C2313yes—
493#391C2313yes—
494#391C2313yes—
495#391C2313yes—
496#391C2313yes—
497#391C2313yes—
498#391C2313yes—
499#391C2313yes—
500#391C2313yes—
501#390C2316yes—
502#390C2316yes—
503#390C2313yes—
504#390C2313yes—
505#390C2313yes—
506#390C2313yes—
507#390C2313yes—
508#390C2313yes—
509#390C2313yes—
510#390C2313yes—
511#390C2313yes—
512#390C2316yes—
513#390C2313yes—
514#389C2316yes—
515#389C2316yes—
516#389C2313yes—
517#389C2313yes—
518#389C2316yes—
519#389C2316yes—
520#389C2313yes—
521#389C2313yes—
522#389C2316yes—
523#389C2316yes—
524#389C2313yes—
525#389C2313yes—
526#389C2313yes—
527#389C2313yes—
528#389C2316yes—
529#389C2313yes—
530#389C2313yes—
531#388C2313yes—
532#388C2313yes—
533#388C2316yes—
534#388C2316yes—
535#388C2316yes—
536#388C2316yes—
537#388C2316yes—
538#388C2316yes—
539#388C2313yes—
540#388C2313yes—
541#388C2316yes—
542#388C2316yes—
543#388C2316yes—
544#388C2316yes—
545#388C2316yes—
546#388C2313yes—
547#388C2313yes—
548#388C2313yes—
549#388C2313yes—
550#388C2316yes—
551#387C2316yes—
552#387C2316yes—
553#387C2316yes—
554#387C2316yes—
555#387C2313yes—
556#387C2313yes—
557#387C2316yes—
558#387C2316yes—
559#387C2316yes—
560#387C2316yes—
561#387C2313yes—
562#387C2313yes—
563#387C2316yes—
564#387C2316yes—
565#387C2316yes—
566#387C2316yes—
567#386C2313yes—
568#386C2316yes—
569#386C2313yes—
570#386C2313yes—
571#386C2316yes—
572#386C2313yes—
573#386C2313yes—
574#386C2313yes—
575#386C2316yes—
576#386C2313yes—
577#386C2313yes—
578#386C2311yescharacteristic
579#386C2311yescharacteristic
580#386C2311yescharacteristic
581#386C2311yescharacteristic
582#386C2313yes—
583#386C2313yes—
584#386C2313yes—
585#385C2316yes—
586#385C2316yes—
587#385C2316yes—
588#385C2313yes—
589#385C2313yes—
590#385C2316yes—
591#385C2316yes—
592#385C2316yes—
593#385C2313yes—
594#385C2313yes—
595#385C2313yes—
596#385C2313yes—
597#385C2313yes—
598#384C2313yes—
599#384C2313yes—
600#382C2316yes—
601#382C2313yes—
602#382C2313yes—
603#381C2313yes—
604#381C2316yes—
605#381C2313yes—
606#380C2313yes—
607#380C2313yes—
608#380C2313yes—
609#380C2313yes—
610#380C2313yes—
611#380C2313yes—
612#380C2313yes—
613#380C2316yes—
614#380C2316yes—
615#380C2313yes—
616#380C2313yes—
617#380C2313yes—
618#380C2313yes—
619#380C2313yes—
620#380C2313yes—
621#380C2313yes—
622#380C2313yes—
623#380C2313yes—
624#380C2313yes—
625#380C2316yes—
626#380C2313yes—
627#379C2313yes—
628#379C2311yescharacteristic
629#379C2313yes—
630C4×C4⋊C4C2313yes—
631C4×C4⋊C4C2313yes—
632C4×C4⋊C4C2313yes—
633C4×C4⋊C4C2313yes—
634C4×C4⋊C4C2313yes—
635C4×C4⋊C4C2313yes—
636C4×C4⋊C4C2313yes—
637C4×C4⋊C4C2316yes—
638C4×C4⋊C4C2316yes—
639C4×C22⋊C4C2313yes—
640C4×C22⋊C4C2316yes—
641C4×C22⋊C4C2313yes—
642C4×C22⋊C4C2313yes—
643C4×C22⋊C4C2313yes—
644C4×C22⋊C4C2316yes—
645C4×C22⋊C4C2313yes—
646C4×C22⋊C4C2313yes—
647C4×C22⋊C4C2313yes—
648C4×C22⋊C4C2316yes—
649C4×C22⋊C4C2316yes—
650C4×C22⋊C4C2313yes—
651C4×C22⋊C4C2313yes—
652C4×C22⋊C4C2313yes—
653C4×C22⋊C4C2313yes—
654C4×C22⋊C4C2313yes—
655C4×C22⋊C4C2316yes—
656C4×C22⋊C4C2316yes—
657#376C2313yes—
658C25C2411yescharacteristic
6592−1+4—464no—
660C2×#41—212no—
661C2×#41—24no—
662C2×#41—212no—
663C2×#41—24no—
664C2×#41—24no—
665C2×#41—212no—
666C2×#41—212no—
667C2×#41—212no—
668C2×#41—212no—
669C2×#41—46no—
670C2×#41—46no—
671C2×#41—46no—
672C22×Q8—24no—
673C22×Q8—24no—
674C22×Q8—24no—
675C22×Q8—24no—
676C22×Q8—24no—
677C22×Q8—24no—
678C22×Q8—24no—
679C22×Q8—212no—
680C22×Q8—212no—
681C22×Q8—24no—
682C22×Q8—212no—
683C22×Q8—24no—
684C22×Q8—212no—
685C22×Q8—212no—
686C22×Q8—24no—
687C22×Q8—212no—
688C22×Q8—24no—
689C22×Q8—24no—
690C22×Q8—212no—
691C22×Q8—212no—
692C22×Q8—46no—
693C22×Q8—46no—
694C22×Q8—46no—
695C22×Q8—46no—
696C22×Q8—464no—
697C22×Q8C2×D418yes—
698C22×Q8C2×D418yes—
699C22×Q8#4118yes—
700C22×Q8C2413yes—
701C22×Q8C2413yes—
702C22×Q8C2416yes—
703C22×Q8C2413yes—
704C22×Q8C2413yes—
705C22×Q8C2413yes—
706C22×Q8C2413yes—
707C22×Q8C2413yes—
708C22×Q8C2411yescharacteristic
709C22×D4C2413yes—
710C22×D4C2411yescharacteristic
711C22×D4C2413yes—
712C22×D4C2411yescharacteristic
713C22×D4C2411yescharacteristic
714C22×D4C2411yescharacteristic
715C22×D4C2411yescharacteristic
716C22×D4C2413yes—
717C22×D4C2413yes—
718C22×D4C2413yes—
719C22×D4C2413yes—
720C22×D4C2411yescharacteristic
721C22×D4C2411yescharacteristic
722C23×C4—212no—
723C23×C4—212no—
724C23×C4—46no—
725C23×C4C2413yes—
726C23×C4C2413yes—
727C23×C4C2413yes—
728C23×C4C2413yes—
729C23×C4C2413yes—
730C23×C4C2413yes—
731C23×C4C2416yes—
732C23×C4C2413yes—
733C23×C4C2413yes—
734C23×C4C2413yes—
735C23×C4C2413yes—
736C23×C4C2411yescharacteristic
737C23×C4C2411yescharacteristic
738C23×C4C2413yes—
739C4⋊Q8—212no—
740C4⋊Q8—212no—
741C4⋊Q8—212no—
742C4⋊Q8—212no—
743C4⋊Q8—224no—
744C4⋊Q8—212no—
745C4⋊Q8—46no—
746C4⋊Q8C2×D4124yes—
747#126—212no—
748#126—212no—
749#126—224no—
750#126—224no—
751#125—212no—
752#125—224no—
753#125—224no—
754#125—224no—
755#125—212no—
756#125—212no—
757#124—212no—
758#124—212no—
759#124—224no—
760#124—212no—
761#124—46no—
762#123—224no—
763#123—212no—
764#123—212no—
765#123—212no—
766#123—212no—
767C22⋊Q8—212no—
768C22⋊Q8—212no—
769C22⋊Q8—212no—
770C22⋊Q8—212no—
771C22⋊Q8—212no—
772C22⋊Q8—212no—
773C22⋊Q8—212no—
774C22⋊Q8—212no—
775C22⋊Q8—212no—
776C22⋊Q8—212no—
777C22⋊Q8—212no—
778C22⋊Q8—224no—
779C22⋊Q8—224no—
780C22⋊Q8—212no—
781C22⋊Q8—212no—
782C22⋊Q8—46no—
783C22⋊Q8—46no—
784C22⋊Q8—46no—
785C22⋊Q8C2×D4124yes—
786C22⋊Q8C2×D4124yes—
787#121—212no—
788#121—24no—
789#121—24no—
790#121—212no—
791#121—212no—
792#121—212no—
793#121—212no—
794#121—46no—
795#120—24no—
796#120—24no—
797#120—212no—
798C4×Q8—24no—
799C4×Q8—212no—
800C4×Q8—212no—
801C4×Q8—24no—
802C4×Q8—24no—
803C4×Q8—24no—
804C4×Q8—212no—
805C4×Q8—212no—
806C4×Q8—24no—
807C4×Q8—24no—
808C4×Q8—24no—
809C4×Q8—24no—
810C4×Q8—212no—
811C4×Q8—212no—
812C4×Q8—224no—
813C4×Q8—212no—
814C4×Q8—212no—
815C4×Q8—212no—
816C4×Q8—46no—
817C4×Q8—46no—
818C4×Q8—46no—
819C4×Q8—46no—
820C4×Q8C2×D418yes—
821C4×D4—212no—
822C4×D4—212no—
823C4×D4—212no—
824C4×D4—212no—
825C4×D4—212no—
826C4×D4—224no—
827C4×D4—224no—
828C4×D4—212no—
829C4×D4—46no—
830C4×D4—46no—
831C4×D4C2×D4124yes—
832#117—212no—
833#117—212no—
834#117—212no—
835#117—212no—
836#117—212no—
837#117—224no—
838#117—212no—
839#117—46no—
840#117—46no—
841C2×C4⋊C4—212no—
842C2×C4⋊C4—46no—
843C2×C4⋊C4C2413yes—
844C2×C4⋊C4C2413yes—
845C2×C4⋊C4C2413yes—
846C2×C4⋊C4C2416yes—
847C2×C4⋊C4C2413yes—
848C2×C4⋊C4C2413yes—
849C2×C4⋊C4C2413yes—
850C2×C4⋊C4C2413yes—
851C2×C4⋊C4C2413yes—
852C2×C4⋊C4C2413yes—
853C2×C4⋊C4C2413yes—
854C2×C4⋊C4C2413yes—
855C2×C4⋊C4C2413yes—
856C2×C4⋊C4C2413yes—
857C2×C4⋊C4C2416yes—
858C2×C4⋊C4C2413yes—
859C2×C4⋊C4C2413yes—
860C2×C4⋊C4C2416yes—
861C2×C4⋊C4C2413yes—
862C2×C4⋊C4C2413yes—
863C2×C4⋊C4C2413yes—
864C2×C4⋊C4C2413yes—
865C2×C4⋊C4C2411yescharacteristic
866C2×C4⋊C4C2416yes—
867C2×C4⋊C4C2416yes—
868C2×C4⋊C4C2413yes—
869C2×C4⋊C4C2413yes—
870C2×C4⋊C4C2413yes—
871C2×C4⋊C4C2413yes—
872C2×C4⋊C4C2411yescharacteristic
873C2×C4⋊C4C2416yes—
874C2×C4⋊C4C2416yes—
875C2×C4⋊C4C2413yes—
876C2×C4⋊C4C2413yes—
877C2×C4⋊C4C2413yes—
878C2×C4⋊C4C2413yes—
879C2×C4⋊C4C2416yes—
880C2×C4⋊C4C2413yes—
881C2×C4⋊C4C2411yescharacteristic
882C2×C4⋊C4C2413yes—
883C2×C4⋊C4C2413yes—
884C2×C4⋊C4C2413yes—
885C2×C4⋊C4C2413yes—
886C2×C4⋊C4C2416yes—
887C2×C4⋊C4C2416yes—
888C2×C4⋊C4C2413yes—
889C2×C4⋊C4C2416yes—
890C2×C4⋊C4C2413yes—
891C2×C22⋊C4C2411yescharacteristic
892C2×C22⋊C4C2413yes—
893C2×C22⋊C4C2411yescharacteristic
894C2×C22⋊C4C2411yescharacteristic
895C2×C22⋊C4C2413yes—
896C2×C22⋊C4C2413yes—
897C2×C22⋊C4C2413yes—
898C2×C22⋊C4C2413yes—
899C2×C22⋊C4C2411yescharacteristic
900C2×C22⋊C4C2413yes—
901C2×C22⋊C4C2411yescharacteristic
902C2×C22⋊C4C2413yes—
903C2×C22⋊C4C2413yes—
904C2×C22⋊C4C2416yes—
905C2×C22⋊C4C2413yes—
906C2×C22⋊C4C2416yes—
907C2×C22⋊C4C2413yes—
908C2×C22⋊C4C2413yes—
909C2×C22⋊C4C2413yes—
910C2×C22⋊C4C2413yes—
911C2×C22⋊C4C2411yescharacteristic
912C2×C22⋊C4C2411yescharacteristic
913C2×C22⋊C4C2411yescharacteristic
914C2×C22⋊C4C2411yescharacteristic
915C2×C22⋊C4C2413yes—
916C2×C22⋊C4C2411yescharacteristic
917C2×C22⋊C4C2413yes—
918C2×C22⋊C4C2413yes—
919C2×C22⋊C4C2411yescharacteristic
920C2×C22⋊C4C2411yescharacteristic
921C2×C22⋊C4C2413yes—
922C2×C22⋊C4C2413yes—
923C2×C22⋊C4C2413yes—
924C2×C22⋊C4C2416yes—
925C2×C22⋊C4C2411yescharacteristic
926C2×C22⋊C4C2413yes—
927C2×C22⋊C4C2413yes—
928C2×C22⋊C4C2411yescharacteristic
929C2×C22⋊C4C2413yes—
930C2×C22⋊C4C2411yescharacteristic
931C2×C22⋊C4C2413yes—
932C2×C22⋊C4C2413yes—
933C2×C22⋊C4C2411yescharacteristic
934C2×C22⋊C4C2413yes—
935C2×C22⋊C4C2413yes—
936C2×C22⋊C4C2413yes—
937C2×C22⋊C4C2413yes—
938C2×C22⋊C4C2416yes—
939C2×C22⋊C4C2413yes—
940C2×C22⋊C4C2413yes—
941C2×C22⋊C4C2416yes—
942C2×C22⋊C4C2413yes—
943C2×C22⋊C4C2413yes—
944C2×C22⋊C4C2416yes—
945C2×C22⋊C4C2413yes—
946C2×C22⋊C4C2413yes—
947C2×C42—212no—
948C2×C42—46no—
949C2×C42C2413yes—
950C2×C42C2416yes—
951C2×C42C2416yes—
952C2×C42C2413yes—
953C2×C42C2416yes—
954C2×C42C2413yes—
955C2×C42C2413yes—
956C2×C42C2413yes—
957C2×C42C2413yes—
958C2×C42C2413yes—
959C2×C42C2413yes—
960C2×C42C2413yes—
961C2×C42C2413yes—
962C2×C42C2416yes—
963C2×C42C2413yes—
964C2×C42C2413yes—
965C2×C42C2416yes—
966C2×C42C2413yes—
967#95C2411yescharacteristic
968#95C2413yes—
969#95C2413yes—
970#95C2413yes—
971#95C2416yes—
972#95C2413yes—
973#95C2413yes—
974#95C2411yescharacteristic
975#95C2411yescharacteristic
976#95C2411yescharacteristic
977#95C2413yes—
978#95C2413yes—
979#95C2413yes—
980#95C2416yes—
981#95C2413yes—
982#95C2413yes—
983#95C2413yes—
984#95C2413yes—
985#95C2416yes—
986#95C2413yes—
987#95C2413yes—
988#95C2413yes—
989#95C2416yes—
990#95C2416yes—
991#95C2413yes—
992#95C2413yes—
993#95C2416yes—
994#95C2413yes—
995#95C2416yes—
996#95C2416yes—
997#95C2413yes—
998#95C2413yes—
999#95C2413yes—
1000#95C2413yes—
1001#95C2413yes—
1002#95C2413yes—
1003#95C2411yescharacteristic
1004#95C2411yescharacteristic
1005#95C2416yes—
1006#95C2416yes—
1007#95C2413yes—
1008#95C2413yes—
1009#95C2413yes—
1010#95C2413yes—
1011#95C2413yes—
1012#95C2413yes—
1013#95C2416yes—
1014C24—22no—
1015C24—22no—
1016C24—22no—
1017C24—41no—
1018C24—41no—
1019C24—41no—
1020C24—41no—
1021C24C2513yes—
1022C24C2511yescharacteristic
1023C24C2511yescharacteristic
1024C24C2511yescharacteristic
1025C24C2511yescharacteristic
1026C24C2511yescharacteristic
1027#41—448no—
1028#41—448no—
1029#41—448no—
1030#41—416no—
1031C2×Q8—232no—
1032C2×Q8—232no—
1033C2×Q8—232no—
1034C2×Q8—26no—
1035C2×Q8—26no—
1036C2×Q8—26no—
1037C2×Q8—212no—
1038C2×Q8—26no—
1039C2×Q8—26no—
1040C2×Q8—26no—
1041C2×Q8—26no—
1042C2×Q8—26no—
1043C2×Q8—212no—
1044C2×Q8—26no—
1045C2×Q8—26no—
1046C2×Q8—26no—
1047C2×Q8—26no—
1048C2×Q8—26no—
1049C2×Q8—26no—
1050C2×Q8—26no—
1051C2×Q8—46no—
1052C2×Q8—43no—
1053C2×Q8—43no—
1054C2×Q8—43no—
1055C2×Q8—448no—
1056C2×Q8—448no—
1057C2×Q8—448no—
1058C2×Q8—448no—
1059C2×Q8—416no—
1060C2×Q8—416no—
1061C2×Q8C22×D4112yes—
1062C2×Q8C22×D4112yes—
1063C2×Q8C22×D414yes—
1064C2×Q8C2×#41112yes—
1065C2×Q8C2×#4114yes—
1066C2×Q8H(5,𝔽2)14yes—
1067C2×D4—22no—
1068C2×D4—26no—
1069C2×D4—22no—
1070C2×D4—22no—
1071C2×D4—22no—
1072C2×D4—26no—
1073C2×D4—22no—
1074C2×D4—26no—
1075C2×D4—22no—
1076C2×D4—22no—
1077C2×D4—22no—
1078C2×D4—26no—
1079C2×D4—22no—
1080C2×D4—22no—
1081C2×D4—26no—
1082C2×D4—26no—
1083C2×D4—26no—
1084C2×D4—26no—
1085C2×D4—26no—
1086C2×D4—26no—
1087C2×D4—26no—
1088C2×D4—41no—
1089C2×D4—43no—
1090C2×D4—41no—
1091C2×D4—41no—
1092C2×D4—41no—
1093C2×D4—41no—
1094C2×D4—41no—
1095C2×D4—41no—
1096C2×D4—43no—
1097C2×D4—41no—
1098C2×D4—43no—
1099C2×D4—43no—
1100C2×D4—43no—
1101C2×D4—41no—
1102C2×D4—43no—
1103C2×D4—43no—
1104C2×D4C22×D414yes—
1105C2×D42−1+414yescomplemented
1106C22×C4—26no—
1107C22×C4—26no—
1108C22×C4—26no—
1109C22×C4—26no—
1110C22×C4—26no—
1111C22×C4—26no—
1112C22×C4—26no—
1113C22×C4—26no—
1114C22×C4—26no—
1115C22×C4—22no—
1116C22×C4—26no—
1117C22×C4—26no—
1118C22×C4—26no—
1119C22×C4—26no—
1120C22×C4—212no—
1121C22×C4—26no—
1122C22×C4—26no—
1123C22×C4—26no—
1124C22×C4—26no—
1125C22×C4—26no—
1126C22×C4—26no—
1127C22×C4—212no—
1128C22×C4—26no—
1129C22×C4—26no—
1130C22×C4—26no—
1131C22×C4—26no—
1132C22×C4—22no—
1133C22×C4—41no—
1134C22×C4—43no—
1135C22×C4—43no—
1136C22×C4—43no—
1137C22×C4—43no—
1138C22×C4—41no—
1139C22×C4—41no—
1140C22×C4—41no—
1141C22×C4—46no—
1142C22×C4—448no—
1143C22×C4—43no—
1144C22×C4—43no—
1145C22×C4—43no—
1146C22×C4C22×D4112yes—
1147C22×C4C22×D4112yes—
1148C22×C4C2×#41112yes—
1149C22×C4C2511yescharacteristic
1150C22×C4C2511yescharacteristic
1151C22×C4C2513yes—
1152C22×C4C2513yes—
1153C22×C4C2513yes—
1154C22×C4C2513yes—
1155C22×C4C2513yes—
1156C22×C4C2511yescharacteristic
1157C22×C4C2513yes—
1158C22×C4C2511yescharacteristic
1159C22×C4C2511yescharacteristic
1160C22×C4C2511yescharacteristic
1161C22×C4C2511yescharacteristic
1162C22×C4C2511yescharacteristic
1163C22×C4C2513yes—
1164C22×C4C2513yes—
1165C22×C4C2513yes—
1166C22×C4C2513yes—
1167C22×C4C2511yescharacteristic
1168C22×C4C2513yes—
1169C22×C4C2513yes—
1170C22×C4C2513yes—
1171C22×C4C2513yes—
1172C22×C4C2511yescharacteristic
1173C22×C4C2513yes—
1174C4⋊C4—26no—
1175C4⋊C4—212no—
1176C4⋊C4—26no—
1177C4⋊C4—26no—
1178C4⋊C4—26no—
1179C4⋊C4—26no—
1180C4⋊C4—26no—
1181C4⋊C4—26no—
1182C4⋊C4—26no—
1183C4⋊C4—26no—
1184C4⋊C4—26no—
1185C4⋊C4—212no—
1186C4⋊C4—26no—
1187C4⋊C4—212no—
1188C4⋊C4—26no—
1189C4⋊C4—26no—
1190C4⋊C4—26no—
1191C4⋊C4—26no—
1192C4⋊C4—22no—
1193C4⋊C4—212no—
1194C4⋊C4—212no—
1195C4⋊C4—26no—
1196C4⋊C4—26no—
1197C4⋊C4—26no—
1198C4⋊C4—26no—
1199C4⋊C4—212no—
1200C4⋊C4—26no—
1201C4⋊C4—26no—
1202C4⋊C4—26no—
1203C4⋊C4—26no—
1204C4⋊C4—22no—
1205C4⋊C4—46no—
1206C4⋊C4—43no—
1207C4⋊C4—43no—
1208C4⋊C4—43no—
1209C4⋊C4—43no—
1210C4⋊C4—41no—
1211C4⋊C4—43no—
1212C4⋊C4—46no—
1213C4⋊C4—46no—
1214C4⋊C4—43no—
1215C4⋊C4—43no—
1216C4⋊C4—43no—
1217C4⋊C4—43no—
1218C4⋊C4—46no—
1219C4⋊C4C22×D4112yes—
1220C4⋊C4C22×D4124yes—
1221C4⋊C4C22×D4112yes—
1222C22⋊C4—22no—
1223C22⋊C4—22no—
1224C22⋊C4—26no—
1225C22⋊C4—26no—
1226C22⋊C4—22no—
1227C22⋊C4—26no—
1228C22⋊C4—26no—
1229C22⋊C4—26no—
1230C22⋊C4—26no—
1231C22⋊C4—22no—
1232C22⋊C4—26no—
1233C22⋊C4—22no—
1234C22⋊C4—22no—
1235C22⋊C4—22no—
1236C22⋊C4—26no—
1237C22⋊C4—26no—
1238C22⋊C4—26no—
1239C22⋊C4—26no—
1240C22⋊C4—22no—
1241C22⋊C4—26no—
1242C22⋊C4—212no—
1243C22⋊C4—26no—
1244C22⋊C4—212no—
1245C22⋊C4—26no—
1246C22⋊C4—22no—
1247C22⋊C4—22no—
1248C22⋊C4—26no—
1249C22⋊C4—43no—
1250C22⋊C4—43no—
1251C22⋊C4—43no—
1252C22⋊C4—43no—
1253C22⋊C4—46no—
1254C22⋊C4—43no—
1255C22⋊C4—43no—
1256C22⋊C4—46no—
1257C22⋊C4—41no—
1258C22⋊C4—43no—
1259C22⋊C4—43no—
1260C22⋊C4—43no—
1261C22⋊C4—41no—
1262C22⋊C4—43no—
1263C22⋊C4—41no—
1264C22⋊C4—43no—
1265C22⋊C4—41no—
1266C22⋊C4—46no—
1267C22⋊C4—43no—
1268C22⋊C4—43no—
1269C22⋊C4—41no—
1270C22⋊C4—43no—
1271C22⋊C4—41no—
1272C22⋊C4—43no—
1273C22⋊C4—43no—
1274C22⋊C4—43no—
1275C22⋊C4—46no—
1276C22⋊C4C22×D4112yes—
1277C22⋊C4C22×D4112yes—
1278C42—26no—
1279C42—26no—
1280C42—26no—
1281C42—212no—
1282C42—212no—
1283C42—212no—
1284C42—26no—
1285C42—26no—
1286C42—26no—
1287C42—26no—
1288C42—26no—
1289C42—26no—
1290C42—26no—
1291C42—43no—
1292C42—43no—
1293C42—46no—
1294C42—46no—
1295C42C22×D4112yes—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—23no—
1327C23—23no—
1328C23—23no—
1329C23—23no—
1330C23—23no—
1331C23—23no—
1332C23—23no—
1333C23—44no—
1334C23—44no—
1335C23—44no—
1336C23—44no—
1337C23—44no—
1338C23—44no—
1339C23—44no—
1340C23C23×D412yes—
1341C23C23×D412yes—
1342C23C22×#4112yes—
1343C23C2×2−1+412yes—
1344C23C2×2−1+412yes—
1345C23C2611yescharacteristic
1346Q8—224no—
1347Q8—224no—
1348Q8—224no—
1349Q8—424no—
1350Q8—412no—
1351Q8—412no—
1352Q8—412no—
1353Q8—412no—
1354Q8#546116yes—
1355D4—44no—
1356D4—44no—
1357D4—412no—
1358D4—412no—
1359D4—412no—
1360D4—44no—
1361D4—44no—
1362D4—44no—
1363D4—44no—
1364D4—44no—
1365D4—412no—
1366D4—412no—
1367D4—86no—
1368C2×C4—23no—
1369C2×C4—23no—
1370C2×C4—23no—
1371C2×C4—21no—
1372C2×C4—23no—
1373C2×C4—23no—
1374C2×C4—23no—
1375C2×C4—23no—
1376C2×C4—23no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—224no—
1381C2×C4—224no—
1382C2×C4—224no—
1383C2×C4—23no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—23no—
1387C2×C4—23no—
1388C2×C4—23no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—23no—
1392C2×C4—23no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—23no—
1396C2×C4—23no—
1397C2×C4—21no—
1398C2×C4—23no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—23no—
1402C2×C4—23no—
1403C2×C4—23no—
1404C2×C4—23no—
1405C2×C4—21no—
1406C2×C4—23no—
1407C2×C4—23no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—23no—
1414C2×C4—23no—
1415C2×C4—23no—
1416C2×C4—23no—
1417C2×C4—23no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—23no—
1423C2×C4—23no—
1424C2×C4—21no—
1425C2×C4—23no—
1426C2×C4—23no—
1427C2×C4—21no—
1428C2×C4—23no—
1429C2×C4—23no—
1430C2×C4—23no—
1431C2×C4—23no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—23no—
1435C2×C4—21no—
1436C2×C4—23no—
1437C2×C4—412no—
1438C2×C4—424no—
1439C2×C4—412no—
1440C2×C4—412no—
1441C2×C4—412no—
1442C2×C4—44no—
1443C2×C4—44no—
1444C2×C4—412no—
1445C2×C4—412no—
1446C2×C4—412no—
1447C2×C4—86no—
1448C2×C4C23×D412yes—
1449C2×C4C23×D416yes—
1450C2×C4C23×D416yes—
1451C2×C4C23×D416yes—
1452C2×C4C23×D416yes—
1453C2×C4C22×#4116yes—
1454C2×C4C22×#4116yes—
1455C2×C4C2×H(5,𝔽2)16yes—
1456C2×C4C2×2−1+412yes—
1457C22—22no—
1458C22—22no—
1459C22—22no—
1460C22—22no—
1461C22—22no—
1462C22—22no—
1463C22—22no—
1464C22—22no—
1465C22—22no—
1466C22—22no—
1467C22—22no—
1468C22—22no—
1469C22—22no—
1470C22—22no—
1471C22—22no—
1472C22—416no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—43no—
1494C22—43no—
1495C22—43no—
1496C22—43no—
1497C22—43no—
1498C22—43no—
1499C22—43no—
1500C22C24×D411yescharacteristic
1501C22C23×#4111yescharacteristic
1502C22C22×H(5,𝔽2)11yescharacteristic
1503C22C22×2−1+411yescharacteristic
1504C222−1+611yescharacteristic
1505C222−1+611yescharacteristic
1506C222−1+611yescharacteristic
1507C4—26no—
1508C4—22no—
1509C4—22no—
1510C4—26no—
1511C4—26no—
1512C4—26no—
1513C4—43no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—43no—
1520C4—43no—
1521C4—41no—
1522C4—43no—
1523C4—43no—
1524C4—43no—
1525C4—43no—
1526C4—41no—
1527C4—43no—
1528C4—41no—
1529C4—43no—
1530C4—43no—
1531C4C2×#546112yes—
1532C2—42no—
1533C2—42no—
1534C2—42no—
1535C2—42no—
1536C2—42no—
1537C2—83no—
1538C2C22×#54611yescharacteristic
1539C2#6284811yescharacteristic
1540C2#6285011yescharacteristic
1541C2#6289311yescharacteristic
1542C2D4×2−1+411yescharacteristic
1543C2#6299811yescharacteristic
1544C2#6304411yescharacteristic
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×#3523C2semidirect
2. C2×#3486C2semidirect
3. #59813C2semidirect
4. #59036C2semidirect
5. #59019C2semidirect
6. #52117C2semidirect
7. #45416C2semidirect
8. #45336C2semidirect
9. #45323C2semidirect
10. #45322C2semidirect
11. #45246C2semidirect
12. #45113C2semidirect
13. #39435C2semidirect
14. #38903C2semidirect
15. #38091C2semidirect
16. #37844C2semidirect
17. #37749C2semidirect
18. #37671C2semidirect
19. Q8×#121C2semidirect
20. Q8×#120C2semidirect
21. #36434C2semidirect
22. #35854C2semidirect
23. #35845C2semidirect
24. #35801C2semidirect
25. #35771C2semidirect
26. #35723C2semidirect
27. #35687C2semidirect
28. #34291C2semidirect
29. #34291C2semidirect
30. #34257C2semidirect
31. #34173C2semidirect
36. C2×#557C22semidirect
37. C2×#557C22semidirect
40. C2×#552C22semidirect
48. C2×D4×Q8C22semidirect
53. C2×#548C22semidirect
55. C2×#541C22semidirect
58. C2×#533C22semidirect
65. C2×#519C22semidirect
66. C22×C4×Q8C22semidirect
67. C22×C4×Q8C22semidirect
68. #2857C22semidirect
69. #2850C22semidirect
71. #2715C22semidirect
72. #2715C22semidirect
73. #2713C22semidirect
74. #2713C22semidirect
76. #2704C22semidirect
84. #2692C22semidirect
87. #2690C22semidirect
88. #2690C22semidirect
100. #2640C22semidirect
102. #2625C22semidirect
106. #2592C22semidirect
107. #2581C22semidirect
108. #2567C22semidirect
112. #2557C22semidirect
113. #2556C22semidirect
115. #2550C22semidirect
116. #2546C22semidirect
117. #2545C22semidirect
118. #2545C22semidirect
120. #2538C22semidirect
122. #2521C22semidirect
124. #2499C22semidirect
127. #2489C22semidirect
128. #2489C22semidirect
131. #2477C22semidirect
137. #2465C22semidirect
138. #2465C22semidirect
144. #2453C22semidirect
145. #2453C22semidirect
146. #2448C22semidirect
147. #2448C22semidirect
148. #2446C22semidirect
149. #2446C22semidirect
152. #2439C22semidirect
156. #2434C22semidirect
158. #2432C22semidirect
160. #2429C22semidirect
161. #2429C22semidirect
162. #2429C22semidirect
164. #2426C22semidirect
166. #2423C22semidirect
168. #2421C22semidirect
170. #2417C22semidirect
171. #2417C22semidirect
178. #2409C22semidirect
180. #2407C22semidirect
187. #2365C22semidirect
188. #2365C22semidirect
192. #2360C22semidirect
193. #2360C22semidirect
196. #2351C22semidirect
197. #2351C22semidirect
198. Q8×C4⋊C4C22semidirect
199. Q8×C4⋊C4C22semidirect
202. #2341C22semidirect
203. #2341C22semidirect
204. #2341C22semidirect
216. Q8×C22⋊C4C22semidirect
217. Q8×C22⋊C4C22semidirect
218. Q8×C22⋊C4C22semidirect
219. Q8×C22⋊C4C22semidirect
220. #2327C22semidirect
221. #2327C22semidirect
225. #2311C22semidirect
228. C4×C22⋊Q8C22semidirect
229. C4×C22⋊Q8C22semidirect
234. #2297C22semidirect
239. #2276C22semidirect
272. D4×Q8D4semidirect
1105. C2×D42−1+4semidirect

Maximal subgroups

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

subgroupindex
C2×#35232
C2×#34862
#598132
#590362
#590192
#521172
#454162
#453362
#453232
#453222
#452462
#451132
#394352
#389032
#380912
#378442
#377492
#376712
Q8×#1212
Q8×#1202
#364342
#358542
#358452
#358012
#357712
#357232
#356872
#342912
#342572
#341732