Finite Group Databasebeta

← #7631485

Subgroups — #7631485

Order 512.

9672 conjugacy classes of subgroups.

The subgroup lattice has 701 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#547C211yesmaximal, characteristic, complemented
2C2×C4×H(5,𝔽2)C211yesmaximal, characteristic, complemented
3#36404C218yesmaximal, complemented
4#36100C218yesmaximal, complemented
5#35730C218yesmaximal, complemented
6#35693C218yesmaximal, complemented
7#35540C212yesmaximal, complemented
8#35512C212yesmaximal, complemented
9#35354C218yesmaximal, complemented
10#35279C212yesmaximal, complemented
11#35084C214yesmaximal, complemented
12#34935C212yesmaximal, complemented
13#34736C214yesmaximal, complemented
14#34200C214yesmaximal, complemented
15#34186C211yesmaximal, characteristic, complemented
16C22×H(5,𝔽2)C2211yescharacteristic
17C23×#41C2212yescomplemented
18C2×#547—216no—
19C2×#547C2218yescomplemented
20C2×#547C2218yescomplemented
21C22×C4⋊Q8C2211yescharacteristic, complemented
22C2×#525C2214yes—
23C2×#525C2218yescomplemented
24C22×#123C2214yescomplemented
25C22×C22⋊Q8C2212yescomplemented
26C22×#121C2212yes—
27C4×H(5,𝔽2)—216no—
28C2×#520C2212yes—
29C2×#520C2214yescomplemented
30C2×#518C2214yes—
31C2×#518C2211yescharacteristic
32C2×#518C2214yescomplemented
33C2×C4×#41C2212yes—
34C2×C4×#41C2214yescomplemented
35C22×C4×D4C2214yes—
36C22×C4×D4C2211yescharacteristic
37C22×C4×D4C2214yescomplemented
38C22×C4×D4C2211yescharacteristic, complemented
39C23×C4⋊C4C2212yescomplemented
40#2857C2218yescomplemented
41#2855C2218yescomplemented
42#2848C2218yescomplemented
43#2638C22116yescomplemented
44#2628C2218yescomplemented
45#2583C2218yescomplemented
46#2568C2214yescomplemented
47#2567C2214yescomplemented
48#2563C2214yescomplemented
49#2561C2218yescomplemented
50#2542C2214yescomplemented
51#2538C2214yescomplemented
52#2537C2214yescomplemented
53#2536C2214yescomplemented
54#2535C2214yescomplemented
55#2534C2218yescomplemented
56#2487C2218yescomplemented
57#2486C2214yescomplemented
58#2483C2218yescomplemented
59#2470C22132yescomplemented
60#2457C22132yescomplemented
61#2455C22132yescomplemented
62#2422C22116yescomplemented
63#2420C22116yescomplemented
64#2418C22132yescomplemented
65#2415C22116yescomplemented
66#2409C2218yescomplemented
67#2408C22116yescomplemented
68#2408C2214yescomplemented
69#2407C22116yescomplemented
70#2407C22116yescomplemented
71#2406C2218yescomplemented
72#2405C2218yes—
73#2405C2218yescomplemented
74#2404C2218yescomplemented
75#2403C2218yes—
76#2392C2218yescomplemented
77#2388C22116yescomplemented
78#2361C22116yescomplemented
79#2360C22116yescomplemented
80#2357C2218yescomplemented
81#2354C2218yescomplemented
82#2352C22116yescomplemented
83D4×C4⋊C4C22116yescomplemented
84#2322C22116yescomplemented
85#2317C2214yescomplemented
86#2312C2214yescomplemented
87#2311C2214yes—
88#2309C2212yes—
89C4×#121C2218yescomplemented
90C4×#120C22116yescomplemented
91#2297C2218yescomplemented
92#2285C2212yescomplemented
93#2280C2214yescomplemented
94#2280C2214yescomplemented
95#2274C2212yescomplemented
96C2×H(5,𝔽2)—216no—
97C2×H(5,𝔽2)—28no—
98C22×#41—216no—
99C22×#41—416no—
100C22×#41C2314yes—
101C22×#41C2318yes—
102C22×#41C2312yes—
103C22×#41C2318yes—
104C23×Q8C2312yes—
105C23×D4C2311yescharacteristic
106C23×D4C2314yes—
107C23×D4C2314yes—
108C23×D4C2311yescharacteristic
109C23×D4C2314yes—
110C24×C4C2312yes—
111C24×C4C2314yes—
112C24×C4C2314yes—
113C24×C4C2312yes—
114#547—264no—
115#547—264no—
116C2×C4⋊Q8—28no—
117C2×C4⋊Q8C2314yes—
118C2×C4⋊Q8C2314yes—
119#525—232no—
120#525—432no—
121C2×#123—232no—
122C2×#123C2318yes—
123C2×#123C23132yes—
124C2×#123C23116yes—
125C2×C22⋊Q8—216no—
126C2×C22⋊Q8C2318yes—
127C2×C22⋊Q8C2318yes—
128C2×C22⋊Q8C2318yes—
129C2×C22⋊Q8C23116yes—
130C2×#121—216no—
131C2×#121C2318yes—
132C2×#121C2318yes—
133C2×#121C23116yes—
134C2×#120C2318yes—
135C2×#120C23116yes—
136#520—232no—
137#520—216no—
138#518—28no—
139#518—232no—
140#518—232no—
141C4×#41—232no—
142C4×#41—216no—
143C2×C4×Q8C2312yes—
144C2×C4×Q8C2312yes—
145C2×C4×Q8C2314yes—
146C2×C4×D4—232no—
147C2×C4×D4—232no—
148C2×C4×D4—28no—
149C2×C4×D4D4116yescomplemented
150C2×C4×D4C2312yes—
151C2×C4×D4C2318yes—
152C2×C4×D4C23116yes—
153C2×C4×D4C2314yes—
154C2×C4×D4C2318yes—
155C2×C4×D4C2314yes—
156C2×C4×D4C2314yes—
157C2×C4×D4C2318yes—
158C2×C4×D4C2312yes—
159C2×C4×D4C2314yes—
160C2×C4×D4C2318yes—
161C2×C4×D4C2314yes—
162C2×C4×D4C2314yes—
163C2×C4×D4C2314yes—
164C2×C4×D4C2318yes—
165C2×C4×D4C23132yes—
166C2×C4×D4C2314yes—
167C2×C4×D4C2314yes—
168C2×#117C2314yes—
169C2×#117C2312yes—
170C2×#117C2314yes—
171C2×#117C2314yes—
172C2×#117C2318yes—
173C2×#117C2318yes—
174C22×C4⋊C4—216no—
175C22×C4⋊C4C2312yes—
176C22×C4⋊C4C2314yes—
177C22×C4⋊C4C2314yes—
178C22×C4⋊C4C2314yes—
179C22×C4⋊C4C23116yes—
180C22×C4⋊C4C2311yescharacteristic
181C22×C4⋊C4C2312yes—
182C22×C4⋊C4C2311yescharacteristic
183C22×C22⋊C4C2314yes—
184C22×C22⋊C4C2314yes—
185C22×C22⋊C4C2318yes—
186C22×C22⋊C4C2312yes—
187C22×C22⋊C4C2314yes—
188C22×C22⋊C4C2312yes—
189C22×C42C2314yes—
190C22×C42C2314yes—
191C22×C42C2311yescharacteristic
192#400C23116yes—
193#399C23116yes—
194#398C2318yes—
195#397C2318yes—
196#397C23132yes—
197#396C23116yes—
198#395C23116yes—
199#394C23132yes—
200#394C2318yes—
201#394C23132yes—
202#394C23116yes—
203#393C23116yes—
204#392C2318yes—
205#392C23132yes—
206#391C2318yes—
207#391C23116yes—
208#390C2318yes—
209#390C23116yes—
210#390C2318yes—
211#389C23116yes—
212#389C23116yes—
213#389C23132yes—
214#389C2318yes—
215#388C23132yes—
216#388C23132yes—
217#388C23116yes—
218#387C23132yes—
219#386C23116yes—
220#386C23132yes—
221#386C23116yes—
222#386C23116yes—
223#386C23116yes—
224#385C23116yes—
225#385C23132yes—
226#385C23116yes—
227#385C23116yes—
228#385C23132yes—
229#384C2318yes—
230#384C2314yes—
231#382C2318yes—
232#382C2314yes—
233#381C23116yes—
234#381C2318yes—
235#381C2318yes—
236#380C23116yes—
237#380C23116yes—
238#380C2314yes—
239#380C2318yes—
240#380C2318yes—
241#380C2318yes—
242#380C2318yes—
243#380C2314yes—
244#379C23116yes—
245#379C2318yes—
246#379C2318yes—
247C4×C4⋊C4C2314yes—
248C4×C4⋊C4C2314yes—
249C4×C4⋊C4C23116yes—
250C4×C22⋊C4C2318yes—
251C4×C22⋊C4C2318yes—
252C4×C22⋊C4C23132yes—
253C4×C22⋊C4C23116yes—
254C25C2412yes—
255C25C2414yes—
256C25C2412yes—
257H(5,𝔽2)—2128no—
258C2×#41—216no—
259C2×#41—216no—
260C2×#41—232no—
261C2×#41—28no—
262C2×#41—232no—
263C2×#41—232no—
264C2×#41—28no—
265C2×#41—216no—
266C2×#41—432no—
267C2×#41—416no—
268C2×#41—4128no—
269C2×#41#41116yescomplemented
270C22×Q8—28no—
271C22×Q8—48no—
272C22×Q8C2414yes—
273C22×Q8C2412yes—
274C22×Q8C2414yes—
275C22×D4—216no—
276C22×D4—216no—
277C22×D4—232no—
278C22×D4—216no—
279C22×D4—28no—
280C22×D4—216no—
281C22×D4—24no—
282C22×D4—28no—
283C22×D4—216no—
284C22×D4—416no—
285C22×D4C2×D418yes—
286C22×D4C2418yes—
287C22×D4C2412yes—
288C22×D4C24116yes—
289C22×D4C24116yes—
290C22×D4C2414yes—
291C22×D4C2414yes—
292C22×D4C2412yes—
293C22×D4C2412yes—
294C23×C4—28no—
295C23×C4—216no—
296C23×C4—216no—
297C23×C4—216no—
298C23×C4—48no—
299C23×C4—416no—
300C23×C4—416no—
301C23×C4C2×D4116yes—
302C23×C4C2412yes—
303C23×C4C2418yes—
304C23×C4C2414yes—
305C23×C4C2414yes—
306C23×C4C24116yes—
307C23×C4C2411yescharacteristic
308C23×C4C2414yes—
309C23×C4C2414yes—
310C23×C4C2414yes—
311C23×C4C2414yes—
312C23×C4C2414yes—
313C23×C4C2418yes—
314C23×C4C2414yes—
315C23×C4C2411yescharacteristic
316C23×C4C2412yes—
317C23×C4C2414yes—
318C23×C4C2411yescharacteristic
319C4⋊Q8—216no—
320C4⋊Q8—216no—
321#123—232no—
322#123—2128no—
323#123—432no—
324C22⋊Q8—232no—
325C22⋊Q8—232no—
326C22⋊Q8—232no—
327C22⋊Q8—432no—
328#121—264no—
329#121—232no—
330#121—232no—
331#120—232no—
332#120—432no—
333C4×Q8—216no—
334C4×Q8—28no—
335C4×Q8—28no—
336C4×D4—216no—
337C4×D4—216no—
338C4×D4—232no—
339C4×D4—216no—
340C4×D4—232no—
341C4×D4—232no—
342C4×D4—216no—
343C4×D4—264no—
344C4×D4—216no—
345C4×D4—232no—
346C4×D4—232no—
347C4×D4—28no—
348C4×D4—216no—
349C4×D4—216no—
350C4×D4—28no—
351C4×D4—464no—
352C4×D4C2×D4132yes—
353C4×D4C2×D4132yes—
354#117—28no—
355#117—216no—
356#117—216no—
357#117—232no—
358#117—216no—
359#117—416no—
360C2×C4⋊C4—28no—
361C2×C4⋊C4—216no—
362C2×C4⋊C4—216no—
363C2×C4⋊C4—24no—
364C2×C4⋊C4—28no—
365C2×C4⋊C4—264no—
366C2×C4⋊C4—216no—
367C2×C4⋊C4C2×D418yes—
368C2×C4⋊C4C2418yes—
369C2×C4⋊C4C24116yes—
370C2×C4⋊C4C2412yes—
371C2×C4⋊C4C2418yes—
372C2×C4⋊C4C2414yes—
373C2×C4⋊C4C2412yes—
374C2×C4⋊C4C2412yes—
375C2×C4⋊C4C2418yes—
376C2×C4⋊C4C2412yes—
377C2×C4⋊C4C2414yes—
378C2×C4⋊C4C2418yes—
379C2×C4⋊C4C2418yes—
380C2×C4⋊C4C24116yes—
381C2×C4⋊C4C24132yes—
382C2×C4⋊C4C2418yes—
383C2×C4⋊C4C2414yes—
384C2×C22⋊C4—216no—
385C2×C22⋊C4—216no—
386C2×C22⋊C4—216no—
387C2×C22⋊C4—28no—
388C2×C22⋊C4—232no—
389C2×C22⋊C4C2×D4116yes—
390C2×C22⋊C4C2414yes—
391C2×C22⋊C4C2418yes—
392C2×C22⋊C4C2414yes—
393C2×C22⋊C4C2418yes—
394C2×C22⋊C4C2414yes—
395C2×C22⋊C4C2418yes—
396C2×C22⋊C4C24116yes—
397C2×C22⋊C4C2418yes—
398C2×C22⋊C4C24116yes—
399C2×C22⋊C4C24116yes—
400C2×C22⋊C4C24116yes—
401C2×C22⋊C4C24116yes—
402C2×C22⋊C4C24132yes—
403C2×C22⋊C4C24116yes—
404C2×C22⋊C4C24116yes—
405C2×C22⋊C4C2418yes—
406C2×C42—216no—
407C2×C42—216no—
408C2×C42C2×D418yes—
409C2×C42C2418yes—
410C2×C42C2414yes—
411C2×C42C2414yes—
412C2×C42C2418yes—
413C2×C42C2414yes—
414C2×C42C24116yes—
415C2×C42C2412yes—
416C2×C42C2412yes—
417#95C2418yes—
418#95C24116yes—
419#95C24116yes—
420#95C24116yes—
421#95C24132yes—
422#95C24132yes—
423#95C2418yes—
424C24—24no—
425C24—28no—
426C24—28no—
427C24—216no—
428C24—28no—
429C24—28no—
430C24—44no—
431C24—44no—
432C24—44no—
433C24—48no—
434C24—48no—
435C24C22×D418yes—
436C24C2514yes—
437C24C2514yes—
438C24C2514yes—
439C24C2511yescharacteristic
440#41—2128no—
441#41—264no—
442#41—4128no—
443#41—4128no—
444C2×Q8—24no—
445C2×Q8—28no—
446C2×Q8—28no—
447C2×Q8—24no—
448C2×Q8—216no—
449C2×Q8—48no—
450C2×Q8—432no—
451C2×Q8C2×#4118yescomplemented
452C2×D4—232no—
453C2×D4—2128no—
454C2×D4—2128no—
455C2×D4—216no—
456C2×D4—28no—
457C2×D4—216no—
458C2×D4—28no—
459C2×D4—28no—
460C2×D4—232no—
461C2×D4—232no—
462C2×D4—232no—
463C2×D4—232no—
464C2×D4—232no—
465C2×D4—24no—
466C2×D4—24no—
467C2×D4—24no—
468C2×D4—216no—
469C2×D4—28no—
470C2×D4—24no—
471C2×D4—28no—
472C2×D4—24no—
473C2×D4—416no—
474C2×D4—416no—
475C2×D4—464no—
476C2×D4C22×D4116yes—
477C2×D4C2×#41116yes—
478C2×D4C2×#4118yescomplemented
479C2×D4H(5,𝔽2)18yescomplemented
480C22×C4—28no—
481C22×C4—28no—
482C22×C4—216no—
483C22×C4—28no—
484C22×C4—216no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—28no—
488C22×C4—28no—
489C22×C4—232no—
490C22×C4—28no—
491C22×C4—28no—
492C22×C4—28no—
493C22×C4—216no—
494C22×C4—232no—
495C22×C4—216no—
496C22×C4—216no—
497C22×C4—216no—
498C22×C4—28no—
499C22×C4—216no—
500C22×C4—432no—
501C22×C4—44no—
502C22×C4—48no—
503C22×C4—48no—
504C22×C4—416no—
505C22×C4—42no—
506C22×C4—416no—
507C22×C4—48no—
508C22×C4—48no—
509C22×C4—48no—
510C22×C4—464no—
511C22×C4—432no—
512C22×C4—832no—
513C22×C4C22×D4116yes—
514C22×C4C22×D414yes—
515C22×C4C22×D414yes—
516C22×C4C22×D4116yes—
517C22×C4C22×D418yes—
518C22×C4C22×D414yes—
519C22×C4C2×#4118yes—
520C22×C4C2×#41116yescomplemented
521C22×C4C2514yes—
522C22×C4C25116yes—
523C22×C4C2514yes—
524C22×C4C2518yes—
525C22×C4C2514yes—
526C22×C4C2511yescharacteristic
527C22×C4C2514yes—
528C22×C4C2512yes—
529C22×C4C2514yes—
530C22×C4C2512yes—
531C22×C4C2511yescharacteristic
532C4⋊C4—216no—
533C4⋊C4—232no—
534C4⋊C4—216no—
535C4⋊C4—28no—
536C4⋊C4—24no—
537C4⋊C4—24no—
538C4⋊C4—24no—
539C4⋊C4—216no—
540C4⋊C4—28no—
541C4⋊C4—24no—
542C4⋊C4—216no—
543C4⋊C4—232no—
544C4⋊C4—216no—
545C4⋊C4—48no—
546C4⋊C4—432no—
547C4⋊C4C22×D4116yes—
548C22⋊C4—216no—
549C22⋊C4—28no—
550C22⋊C4—232no—
551C22⋊C4—216no—
552C22⋊C4—232no—
553C22⋊C4—232no—
554C22⋊C4—216no—
555C22⋊C4—28no—
556C22⋊C4—28no—
557C22⋊C4—216no—
558C22⋊C4—232no—
559C22⋊C4—416no—
560C22⋊C4—416no—
561C22⋊C4—416no—
562C22⋊C4—432no—
563C22⋊C4C22×D4132yes—
564C42—28no—
565C42—216no—
566C42—28no—
567C42—28no—
568C42—216no—
569C42—416no—
570C42C22×D418yes—
571C42C22×D418yes—
572C23—22no—
573C23—22no—
574C23—216no—
575C23—232no—
576C23—24no—
577C23—24no—
578C23—28no—
579C23—28no—
580C23—24no—
581C23—28no—
582C23—28no—
583C23—24no—
584C23—28no—
585C23—28no—
586C23—28no—
587C23—216no—
588C23—48no—
589C23—48no—
590C23—432no—
591C23—48no—
592C23—48no—
593C23—88no—
594C23—816no—
595C23—832no—
596C23—88no—
597C23C23×D418yes—
598C23C23×D412yes—
599C23C22×#4118yes—
600C23C22×#4114yes—
601C23C2×H(5,𝔽2)18yes—
602C23C2611yescharacteristic
603Q8—216no—
604Q8—416no—
605Q8—416no—
606D4—264no—
607D4—216no—
608D4—232no—
609D4—232no—
610D4—216no—
611D4—216no—
612D4—464no—
613D4—464no—
614C2×C4—232no—
615C2×C4—24no—
616C2×C4—24no—
617C2×C4—28no—
618C2×C4—22no—
619C2×C4—24no—
620C2×C4—232no—
621C2×C4—28no—
622C2×C4—232no—
623C2×C4—24no—
624C2×C4—24no—
625C2×C4—24no—
626C2×C4—28no—
627C2×C4—216no—
628C2×C4—28no—
629C2×C4—216no—
630C2×C4—28no—
631C2×C4—216no—
632C2×C4—216no—
633C2×C4—28no—
634C2×C4—48no—
635C2×C4—416no—
636C2×C4—44no—
637C2×C4—464no—
638C2×C4—416no—
639C2×C4—48no—
640C2×C4—432no—
641C2×C4—416no—
642C2×C4—88no—
643C2×C4—816no—
644C2×C4—88no—
645C2×C4—88no—
646C2×C4#525116yescomplemented
647C2×C4C23×D414yes—
648C2×C4C23×D418yes—
649C2×C4C23×D412yes—
650C2×C4C23×D414yes—
651C2×C4C23×D412yes—
652C2×C4C22×#4118yes—
653C2×C4C22×#4114yes—
654C2×C4C22×#4114yes—
655C2×C4C2×H(5,𝔽2)14yes—
656C22—28no—
657C22—22no—
658C22—22no—
659C22—216no—
660C22—216no—
661C22—28no—
662C22—28no—
663C22—28no—
664C22—28no—
665C22—28no—
666C22—432no—
667C22—48no—
668C22—48no—
669C22—416no—
670C22—44no—
671C22—44no—
672C22—44no—
673C22—44no—
674C22—816no—
675C22—832no—
676C22C2×#52514yes—
677C22C24×D411yescharacteristic
678C22C23×#4112yes—
679C22C22×H(5,𝔽2)12yes—
680C222−1+612yes—
681C4—28no—
682C4—22no—
683C4—24no—
684C4—28no—
685C4—416no—
686C4—48no—
687C4—44no—
688C4—44no—
689C4—44no—
690C4C2×#52518yes—
691C4#348414yes—
692C2—24no—
693C2—48no—
694C2—48no—
695C2—48no—
696C2C22×#52511yescharacteristic
697C2C2×#348411yescharacteristic
698C2#6285911yescharacteristic
699C2#6298514yes—
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. C22×#547C2semidirect
2. C2×C4×H(5,𝔽2)C2semidirect
3. #36404C2semidirect
4. #36100C2semidirect
5. #35730C2semidirect
6. #35693C2semidirect
7. #35540C2semidirect
8. #35512C2semidirect
9. #35354C2semidirect
10. #35279C2semidirect
11. #35084C2semidirect
12. #34935C2semidirect
13. #34736C2semidirect
14. #34200C2semidirect
15. #34186C2semidirect
17. C23×#41C22semidirect
19. C2×#547C22semidirect
20. C2×#547C22semidirect
21. C22×C4⋊Q8C22semidirect
23. C2×#525C22semidirect
24. C22×#123C22semidirect
25. C22×C22⋊Q8C22semidirect
29. C2×#520C22semidirect
32. C2×#518C22semidirect
34. C2×C4×#41C22semidirect
37. C22×C4×D4C22semidirect
38. C22×C4×D4C22semidirect
39. C23×C4⋊C4C22semidirect
40. #2857C22semidirect
41. #2855C22semidirect
42. #2848C22semidirect
43. #2638C22semidirect
44. #2628C22semidirect
45. #2583C22semidirect
46. #2568C22semidirect
47. #2567C22semidirect
48. #2563C22semidirect
49. #2561C22semidirect
50. #2542C22semidirect
51. #2538C22semidirect
52. #2537C22semidirect
53. #2536C22semidirect
54. #2535C22semidirect
55. #2534C22semidirect
56. #2487C22semidirect
57. #2486C22semidirect
58. #2483C22semidirect
59. #2470C22semidirect
60. #2457C22semidirect
61. #2455C22semidirect
62. #2422C22semidirect
63. #2420C22semidirect
64. #2418C22semidirect
65. #2415C22semidirect
66. #2409C22semidirect
67. #2408C22semidirect
68. #2408C22semidirect
69. #2407C22semidirect
70. #2407C22semidirect
71. #2406C22semidirect
73. #2405C22semidirect
74. #2404C22semidirect
76. #2392C22semidirect
77. #2388C22semidirect
78. #2361C22semidirect
79. #2360C22semidirect
80. #2357C22semidirect
81. #2354C22semidirect
82. #2352C22semidirect
83. D4×C4⋊C4C22semidirect
84. #2322C22semidirect
85. #2317C22semidirect
86. #2312C22semidirect
89. C4×#121C22semidirect
90. C4×#120C22semidirect
91. #2297C22semidirect
92. #2285C22semidirect
93. #2280C22semidirect
94. #2280C22semidirect
95. #2274C22semidirect
149. C2×C4×D4D4semidirect
269. C2×#41#41semidirect
451. C2×Q8C2×#41semidirect
478. C2×D4C2×#41semidirect
479. C2×D4H(5,𝔽2)semidirect
520. C22×C4C2×#41semidirect
646. C2×C4#525semidirect

Maximal subgroups

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

subgroupindex
C22×#5472
C2×C4×H(5,𝔽2)2
#364042
#361002
#357302
#356932
#355402
#355122
#353542
#352792
#350842
#349352
#347362
#342002
#341862