Finite Group Databasebeta

← #7630866

Subgroups — #7630866

Order 512.

8134 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3518C211yesmaximal, characteristic, complemented
2C2×C4×H(5,𝔽2)C211yesmaximal, characteristic, complemented
3#36089C216yesmaximal, complemented
4#36082C212yesmaximal, complemented
5#36075C216yesmaximal, complemented
6#36033C216yesmaximal, complemented
7#36022C216yesmaximal, complemented
8#35996C212yesmaximal, complemented
9#35748C212yesmaximal, complemented
10#35737C212yesmaximal, complemented
11#35240C213yesmaximal, complemented
12#35232C213yesmaximal, complemented
13#35225C2112yesmaximal, complemented
14#34636C213yesmaximal, complemented
15#34627C213yesmaximal, complemented
16#34293C214yesmaximal, complemented
17#34197C211yesmaximal, characteristic, complemented
18C22×H(5,𝔽2)C2211yescharacteristic
19#3518—216no—
20C2×Q82C2211yescharacteristic, complemented
21C2×#556C2213yescomplemented
22C2×#556C2216yescomplemented
23C2×#555C2213yescomplemented
24C2×D4×Q8C2211yescharacteristic, complemented
25C2×#548C2212yes—
26C2×#548C2214yes—
27C2×#542C2216yescomplemented
28C2×#533C2213yescomplemented
29C2×#529C2213yescomplemented
30C4×H(5,𝔽2)—216no—
31C2×#520C2212yes—
32C2×#520C2211yescharacteristic
33C2×#520C2213yes—
34C2×#519C2212yescomplemented
35C2×#518C2216yes—
36C2×#518C2213yes—
37C2×C4×#41C2213yes—
38C2×C4×#41C2212yes—
39C2×C4×#41C2211yescharacteristic
40C22×C4×D4C2216yes—
41C22×C4×D4C2213yes—
42#2849C22112yescomplemented
43#2848C22112yescomplemented
44#2638C22112yescomplemented
45#2638C2216yescomplemented
46#2637C2216yescomplemented
47#2636C2216yescomplemented
48#2635C2216yescomplemented
49#2634C2213yescomplemented
50#2633C2216yescomplemented
51#2633C2213yescomplemented
52#2632C2211yescharacteristic, complemented
53#2631C2213yescomplemented
54#2630C22112yescomplemented
55#2628C2216yescomplemented
56#2625C2216yescomplemented
57#2621C2216yescomplemented
58#2616C2216yes—
59#2603C22112yescomplemented
60#2580C2216yescomplemented
61#2561C2216yescomplemented
62#2547C2216yescomplemented
63#2542C2216yescomplemented
64#2539C2216yescomplemented
65#2536C22112yescomplemented
66#2535C2216yescomplemented
67#2502C2216yescomplemented
68#2486C2216yescomplemented
69#2482C22112yescomplemented
70#2480C22124yescomplemented
71#2472C22124yescomplemented
72#2468C22124yescomplemented
73#2461C22124yescomplemented
74#2452C22112yescomplemented
75#2447C22112yescomplemented
76#2440C22112yescomplemented
77#2435C22112yes—
78#2435C2216yes—
79#2427C22112yescomplemented
80#2422C22112yescomplemented
81#2417C22112yescomplemented
82#2408C22112yes—
83#2408C2216yes—
84#2399C2216yescomplemented
85#2398C2216yescomplemented
86#2396C2216yescomplemented
87#2395C22112yescomplemented
88#2395C2216yescomplemented
89#2392C2216yescomplemented
90#2388C2216yes—
91#2367C22112yescomplemented
92#2363C22112yescomplemented
93#2362C22112yescomplemented
94#2357C2216yescomplemented
95#2354C22112yescomplemented
96#2351C2212yescomplemented
97Q8×C4⋊C4C2214yescomplemented
98#2346C2216yescomplemented
99#2341C2212yes—
100#2341C2214yes—
101Q8×C22⋊C4C2214yescomplemented
102#2326C22112yescomplemented
103#2324C22112yescomplemented
104#2319C2216yescomplemented
105C4×C22⋊Q8C22112yescomplemented
106#2290C22112yescomplemented
107#2283C2213yescomplemented
108#2283C2213yescomplemented
109#2276C2212yescomplemented
110C2×H(5,𝔽2)—28no—
111C2×H(5,𝔽2)—216no—
112C22×#41C2313yes—
113C22×#41C2311yescharacteristic
114C22×#41C2312yes—
115C23×Q8C2312yes—
116C23×D4C2313yes—
117C23×D4C2316yes—
118C24×C4C2316yes—
119Q82—28no—
120#556—224no—
121#556—248no—
122#555—224no—
123D4×Q8—28no—
124#548—216no—
125#548—232no—
126#542—248no—
127#533—224no—
128C2×C4⋊Q8C2313yes—
129C2×C4⋊Q8C2313yes—
130C2×C4⋊Q8C2316yes—
131#529—224no—
132C2×#126C2316yes—
133C2×#126C23112yes—
134C2×#125C2313yes—
135C2×#124C23112yes—
136C2×#124C2311yescharacteristic
137C2×#124C2316yes—
138C2×#124C23112yes—
139C2×#123C2316yes—
140C2×#123C23112yes—
141C2×C22⋊Q8C2313yes—
142C2×C22⋊Q8C2316yes—
143C2×C22⋊Q8C23112yes—
144C2×C22⋊Q8C2316yes—
145C2×C22⋊Q8C2316yes—
146C2×C22⋊Q8C23124yes—
147C2×#121C23112yes—
148C2×#121C2313yes—
149C2×#121C2316yes—
150C2×#120C23112yes—
151#520—28no—
152#520—216no—
153#520—224no—
154#519—216no—
155#518—248no—
156#518—224no—
157C4×#41—216no—
158C4×#41—224no—
159C4×#41D4116yescomplemented
160C2×C4×Q8C2313yes—
161C2×C4×Q8C2316yes—
162C2×C4×Q8C2312yes—
163C2×C4×Q8C2314yes—
164C2×C4×Q8C2312yes—
165C2×C4×Q8C2316yes—
166C2×C4×Q8C2311yescharacteristic
167C2×C4×Q8C2313yes—
168C2×C4×Q8C2316yes—
169C2×C4×Q8C2311yescharacteristic
170C2×C4×Q8C2311yescharacteristic
171C2×C4×D4—248no—
172C2×C4×D4—224no—
173C2×C4×D4C2316yes—
174C2×C4×D4C2316yes—
175C2×C4×D4C2316yes—
176C2×C4×D4C23112yes—
177C2×C4×D4C2316yes—
178C2×C4×D4C2316yes—
179C2×C4×D4C2313yes—
180C2×C4×D4C2316yes—
181C2×C4×D4C2313yes—
182C2×C4×D4C2316yes—
183C2×C4×D4C2313yes—
184C2×C4×D4C2316yes—
185C2×C4×D4C2316yes—
186C2×C4×D4C23112yes—
187C2×C4×D4C2313yes—
188C2×C4×D4C2313yes—
189C2×#117C2316yes—
190C2×#117C2316yes—
191C2×#117C2316yes—
192C2×#117C2316yes—
193C2×#117C2313yes—
194C2×#117C2316yes—
195C2×#117C2313yes—
196C22×C4⋊C4C2316yes—
197C22×C4⋊C4C2313yes—
198C22×C22⋊C4C2316yes—
199C22×C22⋊C4C23112yes—
200C22×C42C2316yes—
201C22×C42C2313yes—
202#400C2316yes—
203#400C2316yes—
204#399C23112yes—
205#399C2312yes—
206#399C2316yes—
207#398C23112yes—
208#398C2316yes—
209#398C23112yes—
210#398C23112yes—
211#398C2316yes—
212#397C23112yes—
213#397C2316yes—
214#397C23112yes—
215#397C23124yes—
216#397C23112yes—
217#397C2316yes—
218#396C23112yes—
219#396C23112yes—
220#395C2316yes—
221#395C23112yes—
222#395C2312yes—
223#394C23112yes—
224#394C23124yes—
225#394C23112yes—
226#394C23112yes—
227#394C23112yes—
228#394C2312yes—
229#394C2316yes—
230#393C2316yes—
231#393C23112yes—
232#393C2312yes—
233#392C2316yes—
234#392C23112yes—
235#392C2316yes—
236#391C23112yes—
237#391C23112yes—
238#390C23112yes—
239#390C23112yes—
240#390C23124yes—
241#390C23112yes—
242#389C23112yes—
243#389C23112yes—
244#389C23112yes—
245#388C23124yes—
246#388C23124yes—
247#388C23124yes—
248#388C23124yes—
249#388C23112yes—
250#388C2314yes—
251#387C23112yes—
252#387C23112yes—
253#386C23112yes—
254#386C23124yes—
255#386C23112yes—
256#385C23124yes—
257#385C23124yes—
258#385C23112yes—
259#385C23124yes—
260#385C23112yes—
261#384C23112yes—
262#383C2313yes—
263#383C2311yescharacteristic
264#382C2316yes—
265#382C2316yes—
266#381C23112yes—
267#381C2316yes—
268#381C2316yes—
269#380C2316yes—
270#380C23112yes—
271#380C23124yes—
272#380C2316yes—
273#380C23112yes—
274#379C23112yes—
275#379C23124yes—
276C4×C4⋊C4C2316yes—
277C4×C4⋊C4C23112yes—
278C4×C4⋊C4C23112yes—
279C4×C4⋊C4C2316yes—
280C4×C4⋊C4C23124yes—
281C4×C22⋊C4C2316yes—
282C4×C22⋊C4C23112yes—
283C4×C22⋊C4C2316yes—
284C4×C22⋊C4C23112yes—
285C4×C22⋊C4C23124yes—
286#376C2316yes—
287#376C2316yes—
288C25C2416yes—
289H(5,𝔽2)—2128no—
290C2×#41—28no—
291C2×#41—28no—
292C2×#41—28no—
293C2×#41—212no—
294C2×#41—224no—
295C2×#41C2×D418yes—
296C2×#41#41116yes—
297C22×Q8—28no—
298C22×Q8—216no—
299C22×Q8C2411yescharacteristic
300C22×Q8C2416yes—
301C22×Q8C2411yescharacteristic
302C22×Q8C2416yes—
303C22×Q8C2411yescharacteristic
304C22×D4—224no—
305C22×D4—224no—
306C22×D4—224no—
307C22×D4—212no—
308C22×D4—224no—
309C22×D4C2413yes—
310C22×D4C2416yes—
311C22×D4C2413yes—
312C22×D4C2416yes—
313C22×D4C2411yescharacteristic
314C22×D4C2416yes—
315C22×D4C24112yes—
316C23×C4—224no—
317C23×C4—812no—
318C23×C4C2416yes—
319C23×C4C2413yes—
320C23×C4C2416yes—
321C23×C4C2416yes—
322C23×C4C24112yes—
323C23×C4C2416yes—
324C23×C4C2416yes—
325C23×C4C2413yes—
326C23×C4C2413yes—
327C4⋊Q8—224no—
328C4⋊Q8—212no—
329C4⋊Q8—212no—
330#126—248no—
331#126—224no—
332#125—212no—
333#124—224no—
334#124—248no—
335#124—248no—
336#124—24no—
337#123—224no—
338#123—812no—
339C22⋊Q8—212no—
340C22⋊Q8—224no—
341C22⋊Q8—224no—
342C22⋊Q8—248no—
343C22⋊Q8—224no—
344C22⋊Q8—824no—
345#121—224no—
346#121—248no—
347#121—212no—
348#120—812no—
349C4×Q8—28no—
350C4×Q8—28no—
351C4×Q8—216no—
352C4×Q8—224no—
353C4×Q8—24no—
354C4×Q8—212no—
355C4×Q8—224no—
356C4×Q8—212no—
357C4×Q8—224no—
358C4×Q8C2×D418yes—
359C4×Q8C2×D418yes—
360C4×D4—224no—
361C4×D4—224no—
362C4×D4—224no—
363C4×D4—224no—
364C4×D4—248no—
365C4×D4—224no—
366C4×D4—224no—
367C4×D4—248no—
368C4×D4—224no—
369C4×D4—212no—
370C4×D4—224no—
371C4×D4—224no—
372C4×D4—212no—
373C4×D4—212no—
374C4×D4C2×D4124yes—
375C4×D4C2×D4124yes—
376#117—212no—
377#117—224no—
378#117—224no—
379#117—224no—
380#117—224no—
381#117—224no—
382#117C2×D4124yes—
383C2×C4⋊C4—212no—
384C2×C4⋊C4—224no—
385C2×C4⋊C4C2416yes—
386C2×C4⋊C4C2416yes—
387C2×C4⋊C4C2413yes—
388C2×C4⋊C4C2412yes—
389C2×C4⋊C4C2411yescharacteristic
390C2×C4⋊C4C2413yes—
391C2×C4⋊C4C2413yes—
392C2×C4⋊C4C2416yes—
393C2×C4⋊C4C2416yes—
394C2×C4⋊C4C2416yes—
395C2×C4⋊C4C2416yes—
396C2×C4⋊C4C24112yes—
397C2×C4⋊C4C24112yes—
398C2×C4⋊C4C2416yes—
399C2×C4⋊C4C2416yes—
400C2×C4⋊C4C24112yes—
401C2×C4⋊C4C24112yes—
402C2×C4⋊C4C24124yes—
403C2×C4⋊C4C2414yes—
404C2×C4⋊C4C2413yes—
405C2×C4⋊C4C2413yes—
406C2×C22⋊C4—224no—
407C2×C22⋊C4—248no—
408C2×C22⋊C4C24112yes—
409C2×C22⋊C4C2416yes—
410C2×C22⋊C4C2416yes—
411C2×C22⋊C4C2416yes—
412C2×C22⋊C4C2416yes—
413C2×C22⋊C4C2412yes—
414C2×C22⋊C4C24112yes—
415C2×C22⋊C4C2412yes—
416C2×C22⋊C4C2414yes—
417C2×C22⋊C4C2416yes—
418C2×C22⋊C4C2416yes—
419C2×C22⋊C4C24112yes—
420C2×C22⋊C4C24124yes—
421C2×C22⋊C4C24124yes—
422C2×C22⋊C4C24112yes—
423C2×C22⋊C4C24112yes—
424C2×C22⋊C4C24112yes—
425C2×C22⋊C4C2414yes—
426C2×C22⋊C4C24112yes—
427C2×C22⋊C4C24112yes—
428C2×C22⋊C4C2416yes—
429C2×C42—224no—
430C2×C42C2×D4124yes—
431C2×C42C2416yes—
432C2×C42C2416yes—
433C2×C42C24112yes—
434C2×C42C2416yes—
435C2×C42C2412yes—
436C2×C42C24112yes—
437C2×C42C24112yes—
438C2×C42C2413yes—
439C2×C42C2413yes—
440C2×C42C2413yes—
441C2×C42C2411yescharacteristic
442#95C2412yes—
443#95C2416yes—
444#95C2416yes—
445#95C24112yes—
446#95C24112yes—
447#95C2412yes—
448#95C24112yes—
449#95C2414yes—
450#95C2416yes—
451#95C24112yes—
452#95C24112yes—
453#95C24112yes—
454#95C2412yes—
455#95C24124yes—
456#95C24112yes—
457C24—212no—
458C24—224no—
459C24—412no—
460C24—412no—
461C24C2512yes—
462C24C2513yes—
463C24C2516yes—
464#41—296no—
465#41—232no—
466#41—264no—
467C2×Q8—22no—
468C2×Q8—22no—
469C2×Q8—212no—
470C2×Q8—212no—
471C2×Q8—24no—
472C2×Q8—224no—
473C2×Q8—42no—
474C2×Q8—412no—
475C2×Q8—432no—
476C2×Q8C22×D414yes—
477C2×Q8C2×#4118yes—
478C2×D4—296no—
479C2×D4—2192no—
480C2×D4—212no—
481C2×D4—212no—
482C2×D4—212no—
483C2×D4—212no—
484C2×D4—224no—
485C2×D4—26no—
486C2×D4—212no—
487C2×D4—22no—
488C2×D4—212no—
489C2×D4—212no—
490C2×D4—212no—
491C2×D4—42no—
492C2×D4—412no—
493C2×D4—46no—
494C2×D4—46no—
495C2×D4—412no—
496C2×D4C22×D4112yes—
497C2×D4C2×#41124yes—
498C22×C4—212no—
499C22×C4—212no—
500C22×C4—212no—
501C22×C4—212no—
502C22×C4—212no—
503C22×C4—212no—
504C22×C4—224no—
505C22×C4—212no—
506C22×C4—224no—
507C22×C4—46no—
508C22×C4—412no—
509C22×C4—46no—
510C22×C4—424no—
511C22×C4—412no—
512C22×C4—412no—
513C22×C4—848no—
514C22×C4C22×D4112yes—
515C22×C4C22×D4112yes—
516C22×C4C22×D4112yes—
517C22×C4C2×#41124yes—
518C22×C4C2512yes—
519C22×C4C25112yes—
520C22×C4C2514yes—
521C22×C4C2512yes—
522C22×C4C2516yes—
523C22×C4C2516yes—
524C22×C4C2516yes—
525C22×C4C2511yescharacteristic
526C22×C4C2511yescharacteristic
527C22×C4C2511yescharacteristic
528C22×C4C2513yes—
529C22×C4C2513yes—
530C22×C4C2512yes—
531C22×C4C2513yes—
532C4⋊C4—212no—
533C4⋊C4—26no—
534C4⋊C4—212no—
535C4⋊C4—24no—
536C4⋊C4—22no—
537C4⋊C4—26no—
538C4⋊C4—26no—
539C4⋊C4—212no—
540C4⋊C4—212no—
541C4⋊C4—212no—
542C4⋊C4—212no—
543C4⋊C4—212no—
544C4⋊C4—212no—
545C4⋊C4—224no—
546C4⋊C4—224no—
547C4⋊C4—44no—
548C4⋊C4—412no—
549C4⋊C4—412no—
550C4⋊C4—424no—
551C4⋊C4C22×D4112yes—
552C4⋊C4C22×D4112yes—
553C22⋊C4—212no—
554C22⋊C4—224no—
555C22⋊C4—212no—
556C22⋊C4—224no—
557C22⋊C4—248no—
558C22⋊C4—212no—
559C22⋊C4—224no—
560C22⋊C4—212no—
561C22⋊C4—212no—
562C22⋊C4—24no—
563C22⋊C4—24no—
564C22⋊C4—212no—
565C22⋊C4—28no—
566C22⋊C4—412no—
567C22⋊C4—412no—
568C22⋊C4—44no—
569C22⋊C4—424no—
570C22⋊C4—412no—
571C22⋊C4—412no—
572C22⋊C4—412no—
573C22⋊C4C22×D4124yes—
574C42—24no—
575C42—212no—
576C42—212no—
577C42—224no—
578C42—212no—
579C42—224no—
580C42—412no—
581C42C22×D4112yes—
582C42C22×D414yes—
583C42C22×D4112yes—
584C42C22×D4112yes—
585C23—248no—
586C23—26no—
587C23—26no—
588C23—26no—
589C23—212no—
590C23—26no—
591C23—26no—
592C23—212no—
593C23—22no—
594C23—24no—
595C23—22no—
596C23—22no—
597C23—24no—
598C23—812no—
599C23—848no—
600C23—812no—
601C23C23×D416yes—
602C23C22×#41112yes—
603C23C2611yescharacteristic
604Q8—28no—
605Q8—44no—
606Q8—424no—
607Q8—812no—
608Q8#525116yes—
609D4—224no—
610D4—248no—
611D4—224no—
612D4—248no—
613D4—44no—
614D4—812no—
615D4—824no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—26no—
620C2×C4—22no—
621C2×C4—26no—
622C2×C4—22no—
623C2×C4—224no—
624C2×C4—248no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—26no—
628C2×C4—26no—
629C2×C4—26no—
630C2×C4—24no—
631C2×C4—212no—
632C2×C4—212no—
633C2×C4—212no—
634C2×C4—26no—
635C2×C4—24no—
636C2×C4—26no—
637C2×C4—212no—
638C2×C4—212no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—24no—
642C2×C4—412no—
643C2×C4—412no—
644C2×C4—424no—
645C2×C4—424no—
646C2×C4—812no—
647C2×C4—824no—
648C2×C4—812no—
649C2×C4C23×D416yes—
650C2×C4C23×D412yes—
651C2×C4C23×D412yes—
652C2×C4C23×D412yes—
653C2×C4C23×D416yes—
654C2×C4C23×D416yes—
655C2×C4C22×#4114yes—
656C2×C4C22×#41112yes—
657C22—26no—
658C22—224no—
659C22—26no—
660C22—26no—
661C22—212no—
662C22—46no—
663C22—412no—
664C22—412no—
665C22—46no—
666C22—42no—
667C22—44no—
668C22—44no—
669C22—42no—
670C22—42no—
671C22—848no—
672C22C24×D411yescharacteristic
673C22C23×#4112yes—
674C22H(7,𝔽2)12yes—
675C222−1+612yes—
676C4—22no—
677C4—26no—
678C4—22no—
679C4—26no—
680C4—22no—
681C4—24no—
682C4—46no—
683C4—46no—
684C4—44no—
685C4—412no—
686C4—42no—
687C4—42no—
688C4—46no—
689C4C2×#525112yes—
690C2—46no—
691C2—412no—
692C2—82no—
693C2C22×#52511yescharacteristic
694C2#6285211yescharacteristic
695C2#6285714yes—
696C2#6285911yescharacteristic
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×#3518C2semidirect
2. C2×C4×H(5,𝔽2)C2semidirect
3. #36089C2semidirect
4. #36082C2semidirect
5. #36075C2semidirect
6. #36033C2semidirect
7. #36022C2semidirect
8. #35996C2semidirect
9. #35748C2semidirect
10. #35737C2semidirect
11. #35240C2semidirect
12. #35232C2semidirect
13. #35225C2semidirect
14. #34636C2semidirect
15. #34627C2semidirect
16. #34293C2semidirect
17. #34197C2semidirect
20. C2×Q82C22semidirect
21. C2×#556C22semidirect
22. C2×#556C22semidirect
23. C2×#555C22semidirect
24. C2×D4×Q8C22semidirect
27. C2×#542C22semidirect
28. C2×#533C22semidirect
29. C2×#529C22semidirect
34. C2×#519C22semidirect
42. #2849C22semidirect
43. #2848C22semidirect
44. #2638C22semidirect
45. #2638C22semidirect
46. #2637C22semidirect
47. #2636C22semidirect
48. #2635C22semidirect
49. #2634C22semidirect
50. #2633C22semidirect
51. #2633C22semidirect
52. #2632C22semidirect
53. #2631C22semidirect
54. #2630C22semidirect
55. #2628C22semidirect
56. #2625C22semidirect
57. #2621C22semidirect
59. #2603C22semidirect
60. #2580C22semidirect
61. #2561C22semidirect
62. #2547C22semidirect
63. #2542C22semidirect
64. #2539C22semidirect
65. #2536C22semidirect
66. #2535C22semidirect
67. #2502C22semidirect
68. #2486C22semidirect
69. #2482C22semidirect
70. #2480C22semidirect
71. #2472C22semidirect
72. #2468C22semidirect
73. #2461C22semidirect
74. #2452C22semidirect
75. #2447C22semidirect
76. #2440C22semidirect
79. #2427C22semidirect
80. #2422C22semidirect
81. #2417C22semidirect
84. #2399C22semidirect
85. #2398C22semidirect
86. #2396C22semidirect
87. #2395C22semidirect
88. #2395C22semidirect
89. #2392C22semidirect
91. #2367C22semidirect
92. #2363C22semidirect
93. #2362C22semidirect
94. #2357C22semidirect
95. #2354C22semidirect
96. #2351C22semidirect
97. Q8×C4⋊C4C22semidirect
98. #2346C22semidirect
101. Q8×C22⋊C4C22semidirect
102. #2326C22semidirect
103. #2324C22semidirect
104. #2319C22semidirect
105. C4×C22⋊Q8C22semidirect
106. #2290C22semidirect
107. #2283C22semidirect
108. #2283C22semidirect
109. #2276C22semidirect
159. C4×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35182
C2×C4×H(5,𝔽2)2
#360892
#360822
#360752
#360332
#360222
#359962
#357482
#357372
#352402
#352322
#352252
#346362
#346272
#342932
#341972