Finite Group Databasebeta

← #7689222

Subgroups — #7689222

Order 512.

8150 conjugacy classes of subgroups.

The subgroup lattice has 1573 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3497C211yesmaximal, characteristic, complemented
2C2×#3480C211yesmaximal, characteristic, complemented
3#59417C213yesmaximal, complemented
4#59145C213yesmaximal, complemented
5#59097C213yesmaximal, complemented
6#59075C213yesmaximal, complemented
7#59043C213yesmaximal, complemented
8#45386C213yesmaximal, complemented
9#45291C213yesmaximal, complemented
10#45258C213yesmaximal, complemented
11#45092C213yesmaximal, complemented
12#39462C213yesmaximal, complemented
13#38948C213yesmaximal, complemented
14#37785C213yesmaximal, complemented
15#37780C213yesmaximal, complemented
16#36482C211yesmaximal, characteristic, complemented
17#36467C211yesmaximal, characteristic, complemented
18#36435C211yesmaximal, characteristic, complemented
19#36433C211yesmaximal, characteristic, complemented
20#36430C211yesmaximal, characteristic, complemented
21#36374C213yesmaximal, complemented
22#36141C213yesmaximal, complemented
23#36029C211yesmaximal, characteristic, complemented
24#35771C211yesmaximal, characteristic, complemented
25#35757C211yesmaximal, characteristic, complemented
26#35757C211yesmaximal, characteristic, complemented
27#34715C213yesmaximal, complemented
28#34312C211yesmaximal, characteristic, complemented
29#34259C211yesmaximal, characteristic, complemented
30#34257C211yesmaximal, characteristic, complemented
31C4×#548C211yesmaximal, characteristic, complemented
32C22×2−1+4C2211yescharacteristic
33C22×2−1+4C2211yescharacteristic
34#3497—216no—
35#3480—216no—
36C2×#559C2213yes—
37C2×#557C2211yescharacteristic
38C2×#556C2213yes—
39C2×#553C2213yes—
40C2×#553C2213yes—
41C2×#550C2213yes—
42C2×#550C2211yescharacteristic
43C2×#550C2211yescharacteristic
44C2×#550C2211yescharacteristic
45C2×D4×Q8C2211yescharacteristic
46C2×D4×Q8C2213yes—
47C2×#548C2213yes—
48C2×#548C2213yes—
49C2×#548C2211yescharacteristic
50C2×#548C2211yescharacteristic
51C2×#548C2211yescharacteristic
52C2×#548C2211yescharacteristic
53C2×#548C2211yescharacteristic
54C2×#537C2213yes—
55C2×#537C2213yes—
56C2×#532C2213yes—
57C2×#532C2213yes—
58C2×#532C2213yes—
59C2×#529C2213yes—
60C2×#529C2213yes—
61C2×#520C2211yescharacteristic
62C2×#519C2211yescharacteristic
63C2×C4×#41C2213yes—
64C2×C4×#41C2211yescharacteristic
65C2×C4×#41C2211yescharacteristic
66C22×C4×Q8C2211yescharacteristic
67C22×C4×Q8C2211yescharacteristic
68#2861C2213yes—
69#2855C2213yes—
70#2854C2213yes—
71#2851C2213yes—
72#2850C2213yes—
73#2716C2216yes—
74#2714C2216yes—
75#2703C2216yes—
76#2703C2216yes—
77#2702C2216yes—
78#2702C2216yes—
79#2700C2216yes—
80#2699C2216yes—
81#2699C2216yes—
82#2691C2216yes—
83#2689C2216yes—
84#2688C2216yes—
85#2676C2216yes—
86#2673C2216yes—
87#2620C2213yes—
88#2619C2213yes—
89#2615C2213yes—
90#2615C2213yes—
91#2592C2213yes—
92#2581C2213yes—
93#2565C2213yes—
94#2562C2213yes—
95#2559C2216yes—
96#2557C2216yes—
97#2555C2216yes—
98#2545C2213yes—
99#2544C2213yes—
100#2541C2213yes—
101#2538C2213yes—
102#2535C2213yes—
103#2535C2213yes—
104#2503C2213yes—
105#2500C2213yes—
106#2492C2213yes—
107#2491C2213yes—
108#2490C2213yes—
109#2489C2213yes—
110#2488C2216yes—
111#2486C2213yes—
112#2485C2213yes—
113#2477C2216yes—
114#2476C2213yes—
115#2476C2211yescharacteristic
116#2474C2213yes—
117#2474C2213yes—
118#2468C2216yes—
119#2465C2216yes—
120#2464C2216yes—
121#2464C2216yes—
122#2459C2216yes—
123#2459C2216yes—
124#2459C2213yes—
125#2459C2213yes—
126#2457C2216yes—
127#2457C2216yes—
128#2456C2213yes—
129#2456C2213yes—
130#2456C2216yes—
131#2453C2213yes—
132#2451C2213yes—
133#2451C2213yes—
134#2450C2216yes—
135#2446C2213yes—
136#2446C2213yes—
137#2445C2213yes—
138#2445C2213yes—
139#2445C2213yes—
140#2444C2216yes—
141#2442C2213yes—
142#2440C2213yes—
143#2439C2213yes—
144#2436C2213yes—
145#2436C2213yes—
146#2431C2213yes—
147#2431C2213yes—
148#2431C2213yes—
149#2431C2213yes—
150#2431C2213yes—
151#2430C2216yes—
152#2429C2213yes—
153#2428C2213yes—
154#2428C2213yes—
155#2428C2213yes—
156#2427C2213yes—
157#2426C2213yes—
158#2426C2213yes—
159#2425C2216yes—
160#2422C2213yes—
161#2421C2213yes—
162#2421C2213yes—
163#2420C2213yes—
164#2420C2213yes—
165#2416C2213yes—
166#2416C2213yes—
167#2415C2213yes—
168#2415C2213yes—
169#2414C2213yes—
170#2414C2213yes—
171#2414C2213yes—
172#2409C2213yes—
173#2409C2213yes—
174#2407C2213yes—
175#2407C2213yes—
176#2407C2213yes—
177#2407C2213yes—
178#2407C2213yes—
179#2392C2213yes—
180#2392C2213yes—
181#2388C2213yes—
182#2388C2213yes—
183#2367C2213yes—
184#2367C2213yes—
185#2364C2216yes—
186#2364C2216yes—
187#2363C2213yes—
188#2362C2213yes—
189#2361C2213yes—
190#2360C2213yes—
191#2359C2216yes—
192#2352C2213yes—
193#2352C2213yes—
194#2351C2211yescharacteristic
195#2351C2211yescharacteristic
196#2351C2211yescharacteristic
197Q8×C4⋊C4C2211yescharacteristic
198#2341C2211yescharacteristic
199#2341C2213yes—
200#2341C2213yes—
201#2341C2211yescharacteristic
202#2341C2211yescharacteristic
203#2341C2211yescharacteristic
204#2341C2211yescharacteristic
205Q8×C22⋊C4C2211yescharacteristic
206Q8×C22⋊C4C2213yes—
207Q8×C22⋊C4C2211yescharacteristic
208Q8×C22⋊C4C2211yescharacteristic
209Q8×C22⋊C4C2211yescharacteristic
210Q8×C22⋊C4C2211yescharacteristic
211Q8×C22⋊C4C2211yescharacteristic
212Q8×C22⋊C4C2211yescharacteristic
213Q8×C22⋊C4C2213yes—
214#2339C2213yes—
215#2339C2213yes—
216#2339C2213yes—
217#2339C2213yes—
218#2324C2213yes—
219#2323C2213yes—
220#2311C2213yes—
221#2311C2213yes—
222#2311C2213yes—
223#2310C2213yes—
224C4×#124C2213yes—
225C4×#124C2213yes—
226C4×#124C2213yes—
227C4×C22⋊Q8C2213yes—
228C4×C22⋊Q8C2213yes—
229C4×#123C2213yes—
230C4×#123C2213yes—
231C4×#121C2213yes—
232C4×#121C2213yes—
233#2297C2213yes—
234#2297C2213yes—
235#2297C2213yes—
236C2×#391C2213yes—
237#2293C2213yes—
238C42×Q8C2211yescharacteristic
239C42×D4C2213yes—
240C2×2−1+4—28no—
241C2×2−1+4—28no—
242C2×2−1+4—28no—
243C2×2−1+4—28no—
244C2×2−1+4—44no—
245C2×2−1+4—44no—
246C22×#41C2311yescharacteristic
247C22×#41C2311yescharacteristic
248C22×#41C2313yes—
249C22×#41C2313yes—
250C22×#41C2313yes—
251C22×#41C2313yes—
252C22×#41C2313yes—
253C22×#41C2313yes—
254C22×#41C2311yescharacteristic
255C22×#41C2313yes—
256C23×Q8C2311yescharacteristic
257C23×Q8C2313yes—
258C23×Q8C2313yes—
259C23×Q8C2311yescharacteristic
260C23×Q8C2311yescharacteristic
261#559—224no—
262#557—28no—
263#556—224no—
264#553—224no—
265#553—224no—
266#550—28no—
267#550—28no—
268#550—224no—
269#550—44no—
270D4×Q8—28no—
271D4×Q8—224no—
272#548—28no—
273#548—28no—
274#548—224no—
275#548—28no—
276#548—224no—
277#548—44no—
278#548D4116yescomplemented
279#537—224no—
280#537—224no—
281#532—224no—
282#532—224no—
283#532—224no—
284C2×C4⋊Q8C2313yes—
285C2×C4⋊Q8C2313yes—
286C2×C4⋊Q8C2313yes—
287C2×#127C2313yes—
288C2×#127C2313yes—
289C2×#127C2313yes—
290C2×#127C2313yes—
291#529—224no—
292#529—224no—
293C2×#126C2316yes—
294C2×#126C2316yes—
295C2×#125C2313yes—
296C2×#125C2313yes—
297C2×#124C2313yes—
298C2×#124C2313yes—
299C2×#124C2313yes—
300C2×#124C2316yes—
301C2×#124C2313yes—
302C2×#124C2313yes—
303C2×#124C2313yes—
304C2×#124C2313yes—
305C2×#124C2313yes—
306C2×#123C2316yes—
307C2×#123C2316yes—
308C2×#123C2316yes—
309C2×#123C2313yes—
310C2×#123C2313yes—
311C2×C22⋊Q8C2313yes—
312C2×C22⋊Q8C2313yes—
313C2×C22⋊Q8C2313yes—
314C2×C22⋊Q8C2313yes—
315C2×C22⋊Q8C2313yes—
316C2×C22⋊Q8C2316yes—
317C2×C22⋊Q8C2316yes—
318C2×C22⋊Q8C2313yes—
319C2×C22⋊Q8C2313yes—
320C2×C22⋊Q8C2313yes—
321C2×#121C2313yes—
322C2×#121C2313yes—
323C2×#121C2313yes—
324C2×#121C2313yes—
325C2×#121C2313yes—
326C2×#121C2313yes—
327C2×#121C2313yes—
328C2×#121C2313yes—
329C2×#121C2316yes—
330C2×#121C2311yescharacteristic
331C2×#121C2313yes—
332C2×#121C2316yes—
333C2×#121C2313yes—
334C2×#121C2316yes—
335C2×#121C2316yes—
336C2×#121C2313yes—
337C2×#121C2313yes—
338C2×#121C2313yes—
339C2×#121C2316yes—
340C2×#121C2316yes—
341C2×#121C2313yes—
342C2×#121C2313yes—
343#520—44no—
344#519—44no—
345C4×#41—28no—
346C4×#41—28no—
347C4×#41—224no—
348C2×C4×Q8—28no—
349C2×C4×Q8—28no—
350C2×C4×Q8C2313yes—
351C2×C4×Q8C2313yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2313yes—
360C2×C4×Q8C2313yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2313yes—
363C2×C4×Q8C2313yes—
364C2×C4×Q8C2313yes—
365C2×C4×Q8C2313yes—
366C2×C4×Q8C2311yescharacteristic
367C2×C4×D4C2313yes—
368C2×C4×D4C2313yes—
369C2×C4×D4C2313yes—
370C2×C4×D4C2313yes—
371C2×C4×D4C2316yes—
372C2×C4×D4C2313yes—
373C2×C4×D4C2313yes—
374C2×C4×D4C2316yes—
375C2×C4×D4C2316yes—
376C2×C4×D4C2313yes—
377C2×C4×D4C2313yes—
378C2×C4×D4C2313yes—
379C2×C4×D4C2313yes—
380C2×C4×D4C2313yes—
381C2×C4×D4C2313yes—
382C2×C4×D4C2313yes—
383C2×C4×D4C2313yes—
384C2×C4×D4C2313yes—
385C2×C4×D4C2313yes—
386C2×C4×D4C2313yes—
387C2×C4×D4C2313yes—
388C2×C4×D4C2313yes—
389C2×C4×D4C2313yes—
390C2×#117C2313yes—
391C2×#117C2313yes—
392C2×#117C2313yes—
393C2×#117C2311yescharacteristic
394C2×#117C2313yes—
395C2×#117C2313yes—
396C2×#117C2313yes—
397C2×#117C2313yes—
398C22×C4⋊C4C2313yes—
399C22×C4⋊C4C2313yes—
400C22×C4⋊C4C2313yes—
401C22×C42C2313yes—
402C22×C42C2313yes—
403C22×C42C2313yes—
404C22×C42C2313yes—
405#400C2316yes—
406#400C2316yes—
407#400C2316yes—
408#400C2316yes—
409#398C2316yes—
410#398C2316yes—
411#398C2311yescharacteristic
412#398C2313yes—
413#398C2316yes—
414#397C2316yes—
415#397C2313yes—
416#397C2313yes—
417#397C2316yes—
418#397C2316yes—
419#397C2316yes—
420#396C2316yes—
421#396C2316yes—
422#396C2313yes—
423#396C2313yes—
424#396C2313yes—
425#396C2313yes—
426#395C2316yes—
427#395C2313yes—
428#395C2313yes—
429#394C2316yes—
430#394C2313yes—
431#394C2316yes—
432#394C2313yes—
433#394C2316yes—
434#394C2311yescharacteristic
435#394C2311yescharacteristic
436#394C2313yes—
437#394C2313yes—
438#394C2313yes—
439#394C2313yes—
440#394C2311yescharacteristic
441#394C2313yes—
442#394C2313yes—
443#394C2313yes—
444#394C2316yes—
445#394C2316yes—
446#394C2316yes—
447#394C2316yes—
448#394C2316yes—
449#393C2316yes—
450#393C2316yes—
451#393C2316yes—
452#393C2313yes—
453#393C2313yes—
454#392C2313yes—
455#392C2313yes—
456#392C2316yes—
457#392C2316yes—
458#392C2316yes—
459#392C2316yes—
460#392C2316yes—
461#392C2316yes—
462#392C2313yes—
463#392C2313yes—
464#392C2313yes—
465#392C2313yes—
466#392C2313yes—
467#392C2313yes—
468#392C2316yes—
469#391C2313yes—
470#391C2313yes—
471#391C2313yes—
472#391C2313yes—
473#391C2316yes—
474#391C2313yes—
475#391C2313yes—
476#391C2316yes—
477#391C2313yes—
478#391C2313yes—
479#391C2313yes—
480#391C2313yes—
481#391C2313yes—
482#391C2313yes—
483#391C2313yes—
484#391C2313yes—
485#391C2313yes—
486#391C2313yes—
487#391C2313yes—
488#391C2313yes—
489#391C2313yes—
490#391C2313yes—
491#390C2313yes—
492#390C2313yes—
493#390C2313yes—
494#390C2316yes—
495#390C2313yes—
496#390C2313yes—
497#390C2313yes—
498#390C2313yes—
499#390C2313yes—
500#390C2313yes—
501#390C2313yes—
502#390C2313yes—
503#390C2313yes—
504#390C2313yes—
505#390C2313yes—
506#390C2313yes—
507#390C2311yescharacteristic
508#390C2313yes—
509#390C2316yes—
510#390C2313yes—
511#389C2313yes—
512#389C2313yes—
513#389C2313yes—
514#389C2313yes—
515#389C2313yes—
516#389C2313yes—
517#389C2313yes—
518#389C2313yes—
519#389C2313yes—
520#389C2316yes—
521#389C2313yes—
522#389C2313yes—
523#389C2313yes—
524#388C2313yes—
525#388C2316yes—
526#388C2316yes—
527#388C2316yes—
528#388C2313yes—
529#388C2313yes—
530#388C2316yes—
531#388C2313yes—
532#388C2316yes—
533#388C2313yes—
534#388C2316yes—
535#388C2316yes—
536#388C2313yes—
537#388C2316yes—
538#388C2316yes—
539#388C2316yes—
540#388C2316yes—
541#388C2316yes—
542#388C2313yes—
543#388C2313yes—
544#388C2313yes—
545#388C2313yes—
546#388C2313yes—
547#388C2311yescharacteristic
548#388C2311yescharacteristic
549#388C2311yescharacteristic
550#387C2313yes—
551#387C2316yes—
552#387C2316yes—
553#387C2313yes—
554#387C2316yes—
555#387C2316yes—
556#387C2316yes—
557#387C2316yes—
558#387C2313yes—
559#387C2311yescharacteristic
560#387C2313yes—
561#387C2313yes—
562#386C2316yes—
563#386C2313yes—
564#386C2313yes—
565#386C2316yes—
566#386C2316yes—
567#386C2316yes—
568#386C2316yes—
569#386C2316yes—
570#386C2313yes—
571#386C2313yes—
572#386C2313yes—
573#386C2313yes—
574#386C2316yes—
575#386C2316yes—
576#386C2316yes—
577#386C2313yes—
578#386C2316yes—
579#386C2316yes—
580#386C2316yes—
581#386C2316yes—
582#386C2311yescharacteristic
583#386C2316yes—
584#386C2316yes—
585#386C2316yes—
586#386C2313yes—
587#386C2311yescharacteristic
588#386C2313yes—
589#386C2313yes—
590#385C2316yes—
591#385C2313yes—
592#385C2316yes—
593#385C2313yes—
594#385C2316yes—
595#385C2316yes—
596#385C2316yes—
597#385C2313yes—
598#385C2311yescharacteristic
599#384C2313yes—
600#382C2313yes—
601#382C2313yes—
602#382C2313yes—
603#382C2313yes—
604#381C2316yes—
605#381C2316yes—
606#381C2316yes—
607#381C2313yes—
608#381C2313yes—
609#380C2313yes—
610#380C2313yes—
611#380C2313yes—
612#380C2313yes—
613#380C2313yes—
614#380C2313yes—
615#380C2313yes—
616#380C2313yes—
617#380C2313yes—
618#380C2316yes—
619#380C2316yes—
620#380C2313yes—
621#380C2313yes—
622#380C2313yes—
623#380C2313yes—
624#380C2313yes—
625C4×C4⋊C4C2313yes—
626C4×C4⋊C4C2313yes—
627C4×C4⋊C4C2313yes—
628C4×C4⋊C4C2313yes—
629C4×C4⋊C4C2313yes—
630C4×C4⋊C4C2313yes—
631C4×C4⋊C4C2313yes—
632C4×C4⋊C4C2313yes—
633C4×C4⋊C4C2313yes—
634C4×C22⋊C4C2313yes—
635C4×C22⋊C4C2313yes—
636C4×C22⋊C4C2313yes—
637C4×C22⋊C4C2313yes—
638C4×C22⋊C4C2316yes—
639C4×C22⋊C4C2316yes—
640C4×C22⋊C4C2313yes—
641C4×C22⋊C4C2313yes—
642C4×C22⋊C4C2313yes—
643C4×C22⋊C4C2313yes—
644C4×C22⋊C4C2313yes—
645C4×C22⋊C4C2313yes—
646C4×C22⋊C4C2313yes—
647C4×C22⋊C4C2313yes—
648C4×C22⋊C4C2313yes—
649C4×C22⋊C4C2316yes—
650C4×C22⋊C4C2316yes—
651C4×C22⋊C4C2313yes—
652C4×C22⋊C4C2316yes—
653C4×C22⋊C4C2313yes—
654C4×C22⋊C4C2311yescharacteristic
655C2×#95C2316yes—
656C2×#95C2316yes—
657C43C2313yes—
6582−1+4—464no—
6592−1+4—464no—
660C2×#41—24no—
661C2×#41—212no—
662C2×#41—24no—
663C2×#41—24no—
664C2×#41—24no—
665C2×#41—212no—
666C2×#41—212no—
667C2×#41—24no—
668C2×#41—24no—
669C2×#41—24no—
670C2×#41—24no—
671C2×#41—212no—
672C2×#41—212no—
673C2×#41—212no—
674C2×#41—212no—
675C2×#41—212no—
676C2×#41—212no—
677C2×#41—212no—
678C2×#41—212no—
679C2×#41—212no—
680C2×#41—212no—
681C2×#41—46no—
682C2×#41—46no—
683C2×#41—46no—
684C2×#41—46no—
685C2×#41—46no—
686C2×#41—46no—
687C2×#41—46no—
688C2×#41—46no—
689C2×#41C2×D418yes—
690C22×Q8—24no—
691C22×Q8—24no—
692C22×Q8—24no—
693C22×Q8—24no—
694C22×Q8—212no—
695C22×Q8—24no—
696C22×Q8—212no—
697C22×Q8—212no—
698C22×Q8—24no—
699C22×Q8—24no—
700C22×Q8—212no—
701C22×Q8—46no—
702C22×Q8—46no—
703C22×Q8C2×D418yes—
704C22×Q8#4118yescomplemented
705C22×Q8C2413yes—
706C22×Q8C2413yes—
707C22×Q8C2413yes—
708C22×Q8C2413yes—
709C22×Q8C2413yes—
710C22×Q8C2413yes—
711C22×Q8C2411yescharacteristic
712C22×D4C2413yes—
713C22×D4C2413yes—
714C22×D4C2413yes—
715C22×D4C2411yescharacteristic
716C22×D4C2413yes—
717C22×D4C2411yescharacteristic
718C22×D4C2413yes—
719C22×D4C2411yescharacteristic
720C22×D4C2413yes—
721C22×D4C2413yes—
722C22×D4C2413yes—
723C22×D4C2413yes—
724C22×D4C2413yes—
725C22×D4C2413yes—
726C22×D4C2416yes—
727C22×D4C2413yes—
728C22×D4C2416yes—
729C22×D4C2413yes—
730C22×D4C2413yes—
731C22×D4C2416yes—
732C22×D4C2413yes—
733C23×C4C2413yes—
734C23×C4C2411yescharacteristic
735C23×C4C2413yes—
736C23×C4C2413yes—
737C23×C4C2413yes—
738C23×C4C2413yes—
739C23×C4C2411yescharacteristic
740C23×C4C2416yes—
741C23×C4C2416yes—
742C23×C4C2413yes—
743C23×C4C2413yes—
744C23×C4C2413yes—
745C23×C4C2413yes—
746C23×C4C2413yes—
747C23×C4C2413yes—
748C23×C4C2413yes—
749C23×C4C2416yes—
750C4⋊Q8—212no—
751C4⋊Q8—212no—
752C4⋊Q8—212no—
753#127—212no—
754#127—212no—
755#127—212no—
756#127—46no—
757#126—224no—
758#126—224no—
759#125—212no—
760#125—212no—
761#124—212no—
762#124—212no—
763#124—212no—
764#124—212no—
765#124—224no—
766#124—212no—
767#124—46no—
768#124—46no—
769#124C2×D4124yes—
770#123—224no—
771#123—224no—
772#123—412no—
773#123—46no—
774#123—46no—
775C22⋊Q8—212no—
776C22⋊Q8—212no—
777C22⋊Q8—212no—
778C22⋊Q8—212no—
779C22⋊Q8—224no—
780C22⋊Q8—212no—
781C22⋊Q8—224no—
782C22⋊Q8—46no—
783C22⋊Q8—46no—
784C22⋊Q8C2×D4124yes—
785#121—212no—
786#121—212no—
787#121—224no—
788#121—212no—
789#121—224no—
790#121—212no—
791#121—212no—
792#121—212no—
793#121—212no—
794#121—212no—
795#121—212no—
796#121—24no—
797#121—212no—
798#121—224no—
799#121—224no—
800#121—46no—
801#121—412no—
802#121—412no—
803#121—46no—
804#121—46no—
805#121—46no—
806#121C2×D4124yes—
807C4×Q8—24no—
808C4×Q8—212no—
809C4×Q8—24no—
810C4×Q8—24no—
811C4×Q8—212no—
812C4×Q8—24no—
813C4×Q8—24no—
814C4×Q8—24no—
815C4×Q8—24no—
816C4×Q8—24no—
817C4×Q8—212no—
818C4×Q8—212no—
819C4×Q8—212no—
820C4×Q8—212no—
821C4×Q8—46no—
822C4×Q8—46no—
823C4×Q8C2×D418yes—
824C4×D4—212no—
825C4×D4—212no—
826C4×D4—212no—
827C4×D4—212no—
828C4×D4—212no—
829C4×D4—212no—
830C4×D4—212no—
831C4×D4—212no—
832C4×D4—212no—
833C4×D4—212no—
834C4×D4—212no—
835C4×D4—224no—
836C4×D4—224no—
837C4×D4—224no—
838C4×D4—212no—
839C4×D4—212no—
840C4×D4—46no—
841C4×D4—46no—
842C4×D4—46no—
843C4×D4—46no—
844C4×D4—46no—
845C4×D4—46no—
846C4×D4C2×D4124yes—
847#117—212no—
848#117—212no—
849#117—212no—
850#117—24no—
851#117—212no—
852#117—46no—
853#117—46no—
854#117—46no—
855C2×C4⋊C4—212no—
856C2×C4⋊C4—212no—
857C2×C4⋊C4—46no—
858C2×C4⋊C4C2413yes—
859C2×C4⋊C4C2413yes—
860C2×C4⋊C4C2413yes—
861C2×C4⋊C4C2413yes—
862C2×C4⋊C4C2416yes—
863C2×C4⋊C4C2413yes—
864C2×C4⋊C4C2416yes—
865C2×C4⋊C4C2411yescharacteristic
866C2×C4⋊C4C2411yescharacteristic
867C2×C4⋊C4C2413yes—
868C2×C4⋊C4C2413yes—
869C2×C4⋊C4C2413yes—
870C2×C4⋊C4C2413yes—
871C2×C4⋊C4C2413yes—
872C2×C4⋊C4C2411yescharacteristic
873C2×C4⋊C4C2413yes—
874C2×C4⋊C4C2413yes—
875C2×C4⋊C4C2416yes—
876C2×C4⋊C4C2416yes—
877C2×C4⋊C4C2413yes—
878C2×C4⋊C4C2413yes—
879C2×C4⋊C4C2413yes—
880C2×C4⋊C4C2413yes—
881C2×C4⋊C4C2413yes—
882C2×C4⋊C4C2413yes—
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2413yes—
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2413yes—
887C2×C4⋊C4C2413yes—
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2413yes—
890C2×C4⋊C4C2413yes—
891C2×C4⋊C4C2413yes—
892C2×C4⋊C4C2413yes—
893C2×C4⋊C4C2416yes—
894C2×C4⋊C4C2413yes—
895C2×C4⋊C4C2413yes—
896C2×C22⋊C4C2411yescharacteristic
897C2×C22⋊C4C2413yes—
898C2×C22⋊C4C2413yes—
899C2×C22⋊C4C2416yes—
900C2×C22⋊C4C2416yes—
901C2×C22⋊C4C2413yes—
902C2×C22⋊C4C2411yescharacteristic
903C2×C22⋊C4C2413yes—
904C2×C22⋊C4C2411yescharacteristic
905C2×C22⋊C4C2411yescharacteristic
906C2×C22⋊C4C2413yes—
907C2×C22⋊C4C2413yes—
908C2×C22⋊C4C2416yes—
909C2×C22⋊C4C2413yes—
910C2×C22⋊C4C2413yes—
911C2×C22⋊C4C2413yes—
912C2×C22⋊C4C2416yes—
913C2×C22⋊C4C2413yes—
914C2×C22⋊C4C2411yescharacteristic
915C2×C22⋊C4C2413yes—
916C2×C22⋊C4C2416yes—
917C2×C22⋊C4C2413yes—
918C2×C22⋊C4C2411yescharacteristic
919C2×C22⋊C4C2411yescharacteristic
920C2×C22⋊C4C2413yes—
921C2×C22⋊C4C2411yescharacteristic
922C2×C22⋊C4C2413yes—
923C2×C22⋊C4C2413yes—
924C2×C22⋊C4C2411yescharacteristic
925C2×C22⋊C4C2413yes—
926C2×C22⋊C4C2413yes—
927C2×C22⋊C4C2413yes—
928C2×C22⋊C4C2413yes—
929C2×C22⋊C4C2413yes—
930C2×C22⋊C4C2416yes—
931C2×C22⋊C4C2416yes—
932C2×C22⋊C4C2416yes—
933C2×C22⋊C4C2413yes—
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⋊C4C2411yescharacteristic
945C2×C22⋊C4C2411yescharacteristic
946C2×C22⋊C4C2413yes—
947C2×C22⋊C4C2411yescharacteristic
948C2×C22⋊C4C2413yes—
949C2×C22⋊C4C2416yes—
950C2×C22⋊C4C2413yes—
951C2×C22⋊C4C2411yescharacteristic
952C2×C22⋊C4C2413yes—
953C2×C22⋊C4C2416yes—
954C2×C42—212no—
955C2×C42—212no—
956C2×C42—212no—
957C2×C42—212no—
958C2×C42C2411yescharacteristic
959C2×C42C2411yescharacteristic
960C2×C42C2413yes—
961C2×C42C2413yes—
962C2×C42C2413yes—
963C2×C42C2413yes—
964C2×C42C2413yes—
965C2×C42C2413yes—
966C2×C42C2413yes—
967C2×C42C2413yes—
968C2×C42C2413yes—
969C2×C42C2413yes—
970C2×C42C2413yes—
971C2×C42C2413yes—
972C2×C42C2413yes—
973C2×C42C2413yes—
974C2×C42C2416yes—
975C2×C42C2413yes—
976C2×C42C2413yes—
977C2×C42C2413yes—
978C2×C42C2411yescharacteristic
979C2×C42C2413yes—
980#95C2413yes—
981#95C2413yes—
982#95C2413yes—
983#95C2413yes—
984#95C2416yes—
985#95C2416yes—
986#95C2416yes—
987#95C2416yes—
988#95C2411yescharacteristic
989#95C2411yescharacteristic
990#95C2411yescharacteristic
991#95C2411yescharacteristic
992#95C2413yes—
993#95C2413yes—
994#95C2411yescharacteristic
995#95C2411yescharacteristic
996#95C2413yes—
997#95C2413yes—
998#95C2413yes—
999#95C2413yes—
1000#95C2413yes—
1001#95C2413yes—
1002#95C2416yes—
1003#95C2413yes—
1004#95C2413yes—
1005#95C2413yes—
1006#95C2416yes—
1007#95C2413yes—
1008#95C2413yes—
1009#95C2413yes—
1010#95C2416yes—
1011#95C2413yes—
1012#95C2416yes—
1013#95C2413yes—
1014#95C2413yes—
1015#95C2416yes—
1016#95C2411yescharacteristic
1017#95C2411yescharacteristic
1018#95C2413yes—
1019#95C2413yes—
1020#95C2413yes—
1021#95C2416yes—
1022#95C2416yes—
1023C24C2513yes—
1024C24C2511yescharacteristic
1025C24C2513yes—
1026C24C2511yescharacteristic
1027C24C2513yes—
1028C24C2511yescharacteristic
1029#41—232no—
1030#41—448no—
1031#41—448no—
1032#41—448no—
1033#41—448no—
1034#41—448no—
1035#41—448no—
1036#41—448no—
1037#41—416no—
1038#41—416no—
1039C2×Q8—232no—
1040C2×Q8—232no—
1041C2×Q8—26no—
1042C2×Q8—26no—
1043C2×Q8—26no—
1044C2×Q8—26no—
1045C2×Q8—26no—
1046C2×Q8—26no—
1047C2×Q8—26no—
1048C2×Q8—26no—
1049C2×Q8—26no—
1050C2×Q8—26no—
1051C2×Q8—26no—
1052C2×Q8—26no—
1053C2×Q8—26no—
1054C2×Q8—43no—
1055C2×Q8—43no—
1056C2×Q8—43no—
1057C2×Q8—448no—
1058C2×Q8—448no—
1059C2×Q8—416no—
1060C2×Q8C22×D4112yes—
1061C2×Q8C22×D414yes—
1062C2×Q8C2×#41112yes—
1063C2×Q8C2×#4114yes—
1064C2×Q8H(5,𝔽2)14yes—
1065C2×D4—26no—
1066C2×D4—22no—
1067C2×D4—26no—
1068C2×D4—26no—
1069C2×D4—26no—
1070C2×D4—22no—
1071C2×D4—26no—
1072C2×D4—26no—
1073C2×D4—26no—
1074C2×D4—22no—
1075C2×D4—26no—
1076C2×D4—22no—
1077C2×D4—26no—
1078C2×D4—212no—
1079C2×D4—212no—
1080C2×D4—26no—
1081C2×D4—22no—
1082C2×D4—26no—
1083C2×D4—26no—
1084C2×D4—26no—
1085C2×D4—26no—
1086C2×D4—26no—
1087C2×D4—26no—
1088C2×D4—26no—
1089C2×D4—26no—
1090C2×D4—26no—
1091C2×D4—26no—
1092C2×D4—26no—
1093C2×D4—26no—
1094C2×D4—26no—
1095C2×D4—22no—
1096C2×D4—43no—
1097C2×D4—43no—
1098C2×D4—41no—
1099C2×D4—43no—
1100C2×D4—43no—
1101C2×D4—43no—
1102C2×D4—43no—
1103C2×D4—43no—
1104C2×D4—43no—
1105C2×D4—43no—
1106C2×D4—41no—
1107C2×D4—43no—
1108C2×D4—43no—
1109C2×D4—41no—
1110C2×D4—43no—
1111C2×D4—43no—
1112C2×D4—43no—
1113C2×D4—43no—
1114C2×D4—43no—
1115C2×D4—43no—
1116C2×D4—46no—
1117C2×D4—46no—
1118C2×D4—46no—
1119C2×D4—43no—
1120C2×D4—43no—
1121C2×D4—46no—
1122C2×D4—43no—
1123C2×D4—46no—
1124C2×D4—46no—
1125C2×D4—46no—
1126C2×D4C22×D4112yes—
1127C2×D4C22×D4112yes—
1128C22×C4—22no—
1129C22×C4—26no—
1130C22×C4—26no—
1131C22×C4—26no—
1132C22×C4—26no—
1133C22×C4—26no—
1134C22×C4—26no—
1135C22×C4—22no—
1136C22×C4—22no—
1137C22×C4—26no—
1138C22×C4—212no—
1139C22×C4—26no—
1140C22×C4—26no—
1141C22×C4—22no—
1142C22×C4—26no—
1143C22×C4—26no—
1144C22×C4—212no—
1145C22×C4—26no—
1146C22×C4—26no—
1147C22×C4—26no—
1148C22×C4—212no—
1149C22×C4—212no—
1150C22×C4—26no—
1151C22×C4—26no—
1152C22×C4—26no—
1153C22×C4—26no—
1154C22×C4—26no—
1155C22×C4—22no—
1156C22×C4—26no—
1157C22×C4—26no—
1158C22×C4—26no—
1159C22×C4—26no—
1160C22×C4—41no—
1161C22×C4—46no—
1162C22×C4—46no—
1163C22×C4—43no—
1164C22×C4—43no—
1165C22×C4—43no—
1166C22×C4—43no—
1167C22×C4—43no—
1168C22×C4—43no—
1169C22×C4—43no—
1170C22×C4—43no—
1171C22×C4—43no—
1172C22×C4—43no—
1173C22×C4—46no—
1174C22×C4—46no—
1175C22×C4—46no—
1176C22×C4C22×D4112yes—
1177C22×C4C22×D4112yes—
1178C22×C4C2×#41112yes—
1179C22×C4C2511yescharacteristic
1180C22×C4C2513yes—
1181C22×C4C2511yescharacteristic
1182C22×C4C2513yes—
1183C22×C4C2511yescharacteristic
1184C22×C4C2513yes—
1185C22×C4C2513yes—
1186C22×C4C2511yescharacteristic
1187C22×C4C2513yes—
1188C22×C4C2513yes—
1189C22×C4C2513yes—
1190C22×C4C2511yescharacteristic
1191C22×C4C2513yes—
1192C22×C4C2513yes—
1193C22×C4C2511yescharacteristic
1194C22×C4C2511yescharacteristic
1195C22×C4C2511yescharacteristic
1196C22×C4C2513yes—
1197C22×C4C2513yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2513yes—
1200C22×C4C2511yescharacteristic
1201C22×C4C2511yescharacteristic
1202C22×C4C2511yescharacteristic
1203C22×C4C2513yes—
1204C4⋊C4—26no—
1205C4⋊C4—212no—
1206C4⋊C4—26no—
1207C4⋊C4—26no—
1208C4⋊C4—212no—
1209C4⋊C4—22no—
1210C4⋊C4—22no—
1211C4⋊C4—26no—
1212C4⋊C4—26no—
1213C4⋊C4—26no—
1214C4⋊C4—26no—
1215C4⋊C4—22no—
1216C4⋊C4—26no—
1217C4⋊C4—212no—
1218C4⋊C4—26no—
1219C4⋊C4—212no—
1220C4⋊C4—26no—
1221C4⋊C4—26no—
1222C4⋊C4—26no—
1223C4⋊C4—26no—
1224C4⋊C4—26no—
1225C4⋊C4—26no—
1226C4⋊C4—26no—
1227C4⋊C4—26no—
1228C4⋊C4—26no—
1229C4⋊C4—22no—
1230C4⋊C4—43no—
1231C4⋊C4—41no—
1232C4⋊C4—43no—
1233C4⋊C4—43no—
1234C4⋊C4—41no—
1235C4⋊C4—43no—
1236C4⋊C4—43no—
1237C4⋊C4—43no—
1238C4⋊C4—43no—
1239C4⋊C4—46no—
1240C4⋊C4C22×D4112yes—
1241C4⋊C4C22×D4112yes—
1242C22⋊C4—22no—
1243C22⋊C4—26no—
1244C22⋊C4—212no—
1245C22⋊C4—26no—
1246C22⋊C4—26no—
1247C22⋊C4—22no—
1248C22⋊C4—26no—
1249C22⋊C4—212no—
1250C22⋊C4—26no—
1251C22⋊C4—26no—
1252C22⋊C4—22no—
1253C22⋊C4—26no—
1254C22⋊C4—26no—
1255C22⋊C4—212no—
1256C22⋊C4—212no—
1257C22⋊C4—26no—
1258C22⋊C4—212no—
1259C22⋊C4—22no—
1260C22⋊C4—26no—
1261C22⋊C4—22no—
1262C22⋊C4—26no—
1263C22⋊C4—26no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—43no—
1267C22⋊C4—41no—
1268C22⋊C4—43no—
1269C22⋊C4—41no—
1270C22⋊C4—46no—
1271C22⋊C4—43no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—43no—
1275C22⋊C4—43no—
1276C22⋊C4—43no—
1277C22⋊C4—43no—
1278C22⋊C4—43no—
1279C22⋊C4—41no—
1280C22⋊C4—43no—
1281C22⋊C4—43no—
1282C22⋊C4—43no—
1283C22⋊C4—46no—
1284C22⋊C4—46no—
1285C22⋊C4—46no—
1286C22⋊C4—43no—
1287C22⋊C4—46no—
1288C22⋊C4—43no—
1289C22⋊C4—43no—
1290C22⋊C4—43no—
1291C22⋊C4—43no—
1292C22⋊C4—46no—
1293C22⋊C4—43no—
1294C22⋊C4—43no—
1295C22⋊C4—43no—
1296C22⋊C4—43no—
1297C22⋊C4C22×D414yes—
1298C22⋊C4C22×D4112yes—
1299C22⋊C4C22×D4124yes—
1300C42—22no—
1301C42—22no—
1302C42—26no—
1303C42—26no—
1304C42—26no—
1305C42—26no—
1306C42—26no—
1307C42—26no—
1308C42—26no—
1309C42—26no—
1310C42—26no—
1311C42—26no—
1312C42—26no—
1313C42—26no—
1314C42—26no—
1315C42—26no—
1316C42—41no—
1317C42—46no—
1318C42—43no—
1319C42—43no—
1320C42—43no—
1321C42C22×D4112yes—
1322C23—21no—
1323C23—21no—
1324C23—23no—
1325C23—21no—
1326C23—23no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—23no—
1333C23—23no—
1334C23—21no—
1335C23—21no—
1336C23—23no—
1337C23—21no—
1338C23—21no—
1339C23—23no—
1340C23—23no—
1341C23—21no—
1342C23—23no—
1343C23—23no—
1344C23—21no—
1345C23—23no—
1346C23—23no—
1347C23—21no—
1348C23—23no—
1349C23—21no—
1350C23—23no—
1351C23—23no—
1352C23—23no—
1353C23—21no—
1354C23—21no—
1355C23—23no—
1356C23—23no—
1357C23—23no—
1358C23—23no—
1359C23—21no—
1360C23—23no—
1361C23C23×D416yes—
1362C23C23×D412yes—
1363C23C22×#4112yes—
1364C23C2611yescharacteristic
1365Q8—224no—
1366Q8—224no—
1367Q8—412no—
1368Q8—412no—
1369Q8—412no—
1370Q8—412no—
1371Q8#546116yes—
1372D4—224no—
1373D4—412no—
1374D4—44no—
1375D4—412no—
1376D4—412no—
1377D4—44no—
1378D4—412no—
1379D4—412no—
1380D4—412no—
1381D4—44no—
1382D4—412no—
1383D4—412no—
1384D4—412no—
1385D4—412no—
1386D4—412no—
1387D4—86no—
1388D4—812no—
1389D4—812no—
1390D4—86no—
1391D4—86no—
1392D4—166no—
1393C2×C4—28no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—23no—
1398C2×C4—21no—
1399C2×C4—23no—
1400C2×C4—23no—
1401C2×C4—21no—
1402C2×C4—23no—
1403C2×C4—21no—
1404C2×C4—23no—
1405C2×C4—23no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—224no—
1411C2×C4—224no—
1412C2×C4—224no—
1413C2×C4—21no—
1414C2×C4—23no—
1415C2×C4—21no—
1416C2×C4—23no—
1417C2×C4—23no—
1418C2×C4—23no—
1419C2×C4—21no—
1420C2×C4—23no—
1421C2×C4—21no—
1422C2×C4—23no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—23no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—23no—
1430C2×C4—23no—
1431C2×C4—23no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—23no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—23no—
1438C2×C4—23no—
1439C2×C4—23no—
1440C2×C4—23no—
1441C2×C4—23no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—23no—
1446C2×C4—21no—
1447C2×C4—23no—
1448C2×C4—23no—
1449C2×C4—23no—
1450C2×C4—23no—
1451C2×C4—23no—
1452C2×C4—23no—
1453C2×C4—23no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—23no—
1457C2×C4—23no—
1458C2×C4—21no—
1459C2×C4—23no—
1460C2×C4—21no—
1461C2×C4—44no—
1462C2×C4—424no—
1463C2×C4—412no—
1464C2×C4—424no—
1465C2×C4—412no—
1466C2×C4—412no—
1467C2×C4—412no—
1468C2×C4—412no—
1469C2×C4—86no—
1470C2×C4—86no—
1471C2×C4—86no—
1472C2×C4—86no—
1473C2×C4—166no—
1474C2×C4C23×D412yes—
1475C2×C4C23×D412yes—
1476C2×C4C23×D416yes—
1477C2×C4C23×D416yes—
1478C2×C4C23×D416yes—
1479C2×C4C22×#4116yes—
1480C2×C4C22×#4116yes—
1481C2×C4C2×H(5,𝔽2)16yes—
1482C2×C4#58512yes—
1483C2×C4#58512yes—
1484C2×C4#58512yes—
1485C22—22no—
1486C22—26no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—26no—
1491C22—22no—
1492C22—22no—
1493C22—26no—
1494C22—41no—
1495C22—41no—
1496C22—43no—
1497C22—43no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—43no—
1502C22—41no—
1503C22—41no—
1504C22—43no—
1505C22—41no—
1506C22—43no—
1507C22—41no—
1508C22—43no—
1509C22—43no—
1510C22—41no—
1511C22—43no—
1512C22—43no—
1513C22—43no—
1514C22—41no—
1515C22—43no—
1516C22—43no—
1517C22—41no—
1518C22—43no—
1519C22—41no—
1520C22—43no—
1521C22—41no—
1522C22—43no—
1523C22—43no—
1524C22—43no—
1525C22—41no—
1526C22—43no—
1527C22C24×D411yescharacteristic
1528C22C23×#4111yescharacteristic
1529C22C22×H(5,𝔽2)11yescharacteristic
1530C22C2×#58511yescharacteristic
1531C22C2×#58511yescharacteristic
1532C22C2×#58511yescharacteristic
1533C222−1+611yescharacteristic
1534C4—22no—
1535C4—22no—
1536C4—22no—
1537C4—22no—
1538C4—26no—
1539C4—22no—
1540C4—26no—
1541C4—26no—
1542C4—43no—
1543C4—41no—
1544C4—43no—
1545C4—41no—
1546C4—41no—
1547C4—43no—
1548C4—43no—
1549C4—43no—
1550C4—43no—
1551C4—43no—
1552C4—41no—
1553C4—43no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—43no—
1558C4C2×#546112yes—
1559C2—42no—
1560C2—46no—
1561C2—42no—
1562C2—83no—
1563C2—83no—
1564C2—81no—
1565C2C22×#54611yescharacteristic
1566C2#6279311yescharacteristic
1567C2#6281111yescharacteristic
1568C2#6292211yescharacteristic
1569C2#6300211yescharacteristic
1570C2#6300711yescharacteristic
1571C2#6303511yescharacteristic
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×#3497C2semidirect
2. C2×#3480C2semidirect
3. #59417C2semidirect
4. #59145C2semidirect
5. #59097C2semidirect
6. #59075C2semidirect
7. #59043C2semidirect
8. #45386C2semidirect
9. #45291C2semidirect
10. #45258C2semidirect
11. #45092C2semidirect
12. #39462C2semidirect
13. #38948C2semidirect
14. #37785C2semidirect
15. #37780C2semidirect
16. #36482C2semidirect
17. #36467C2semidirect
18. #36435C2semidirect
19. #36433C2semidirect
20. #36430C2semidirect
21. #36374C2semidirect
22. #36141C2semidirect
23. #36029C2semidirect
24. #35771C2semidirect
25. #35757C2semidirect
26. #35757C2semidirect
27. #34715C2semidirect
28. #34312C2semidirect
29. #34259C2semidirect
30. #34257C2semidirect
31. C4×#548C2semidirect
278. #548D4semidirect
704. C22×Q8#41semidirect

Maximal subgroups

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

subgroupindex
C2×#34972
C2×#34802
#594172
#591452
#590972
#590752
#590432
#453862
#452912
#452582
#450922
#394622
#389482
#377852
#377802
#364822
#364672
#364352
#364332
#364302
#363742
#361412
#360292
#357712
#357572
#347152
#343122
#342592
#342572
C4×#5482