Finite Group Databasebeta

← #7631046

Subgroups — #7631046

Order 512.

7590 conjugacy classes of subgroups.

The subgroup lattice has 717 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3491C212yesmaximal, complemented
2#36631C214yesmaximal, complemented
3C2×#2854C212yesmaximal, complemented
4#36267C2116yesmaximal, complemented
5#36265C218yesmaximal, complemented
6#36264C218yesmaximal, complemented
7#35119C214yesmaximal, complemented
8#35089C212yesmaximal, complemented
9#35006C214yesmaximal, complemented
10#35004C214yesmaximal, complemented
11#35002C211yesmaximal, characteristic, complemented
12#35001C211yesmaximal, characteristic
13#34993C212yesmaximal, complemented
14#34273C212yesmaximal, complemented
15#34205C212yesmaximal, complemented
16C2×C4×#117C211yesmaximal, characteristic, complemented
17#3491—232no—
18C2×#552C22116yescomplemented
19C2×#551C22116yescomplemented
20C2×#543C2212yes—
21C2×#539C2218yescomplemented
22C2×#534C2212yes—
23C2×#534C2212yes—
24C2×#529C2218yescomplemented
25C22×#123C2214yes—
26C22×#121C2212yes—
27C2×#518C2214yes—
28C22×#117C2211yescharacteristic
29C22×#117C2211yescharacteristic
30C23×C42C2211yescharacteristic
31#2861C2218yescomplemented
32#2860C2218yescomplemented
33#2860C2218yescomplemented
34#2859C2214yescomplemented
35#2858C2214yescomplemented
36#2857C2214yescomplemented
37#2856C2214yes—
38#2854C2218yes—
39#2854C2218yes—
40#2854C2214yescomplemented
41#2854C2214yescomplemented
42#2854C2214yescomplemented
43#2854C2214yescomplemented
44#2854C2218yescomplemented
45#2850C2218yescomplemented
46#2659C2214yescomplemented
47#2656C2214yes—
48#2639C2218yescomplemented
49#2618C2218yescomplemented
50#2611C22116yescomplemented
51#2610C22116yescomplemented
52#2604C22116yescomplemented
53#2603C22116yescomplemented
54#2560C22116yescomplemented
55#2558C22116yescomplemented
56#2556C22116yescomplemented
57#2554C22116yescomplemented
58#2549C2218yescomplemented
59#2539C2218yes—
60#2519C22116yescomplemented
61#2512C2218yescomplemented
62#2506C2218yescomplemented
63#2501C2214yes—
64#2488C22116yescomplemented
65#2472C22116yescomplemented
66#2461C22116yescomplemented
67#2452C2218yescomplemented
68#2445C2218yescomplemented
69#2440C2218yescomplemented
70#2433C2214yes—
71#2413C22116yescomplemented
72#2411C22116yescomplemented
73#2364C2218yes—
74#2361C2218yes—
75#2359C22116yescomplemented
76#2358C22116yescomplemented
77#2344C2214yescomplemented
78#2342C2218yescomplemented
79D4×C22⋊C4C2214yescomplemented
80#2325C2218yescomplemented
81#2325C2218yescomplemented
82#2315C2212yes—
83#2308C2214yes—
84C4×C4⋊Q8C2214yescomplemented
85C4×#127C2214yescomplemented
86C4×#124C2218yescomplemented
87C4×#121C2218yescomplemented
88C4×#121C2218yescomplemented
89#2293C2218yescomplemented
90#2293C2218yescomplemented
91C2×#390C2214yescomplemented
92C2×#389C2214yescomplemented
93C2×#388C2218yescomplemented
94C2×#386C2214yes—
95C2×#380C2212yes—
96C4×#117C2218yescomplemented
97C4×#117C2218yescomplemented
98C2×C4×C4⋊C4C2212yescomplemented
99C2×C4×C4⋊C4C2212yescomplemented
100C2×C4×C22⋊C4C2211yescharacteristic
101C2×C4×C22⋊C4C2211yescharacteristic
102C2×C4×C22⋊C4C2211yescharacteristic
103C2×C4×C22⋊C4C2211yescharacteristic
104C2×#376C2212yescomplemented
105C2×C43C2212yescomplemented
106C23×D4C2314yes—
107C23×D4C2312yes—
108C24×C4C2311yescharacteristic
109C24×C4C2311yescharacteristic
110C24×C4C2311yescharacteristic
111#552—2128no—
112#551—2128no—
113#543—216no—
114#539—264no—
115#534—216no—
116#534—216no—
117C2×C4⋊Q8C2314yes—
118C2×#127C2314yes—
119#529—264no—
120C2×#126C23116yes—
121C2×#126C23116yes—
122C2×#125C2318yes—
123C2×#125C23116yes—
124C2×#124C2318yes—
125C2×#124C2318yes—
126C2×#123—232no—
127C2×#123C23116yes—
128C2×#123C2318yes—
129C2×#123C2318yes—
130C2×#123C2318yes—
131C2×#123C2318yes—
132C2×#123C23116yes—
133C2×C22⋊Q8C23116yes—
134C2×C22⋊Q8C2318yes—
135C2×C22⋊Q8C23116yes—
136C2×#121—216no—
137C2×#121C2314yes—
138C2×#121C2318yes—
139C2×#121C2318yes—
140C2×#121C2314yes—
141C2×#121C2314yes—
142C2×#121C2314yes—
143C2×#120C2318yes—
144C2×#120C2318yes—
145#518—232no—
146C2×C4×Q8C2318yes—
147C2×C4×D4C2318yes—
148C2×C4×D4C23116yes—
149C2×C4×D4C23116yes—
150C2×C4×D4C2318yes—
151C2×C4×D4C2318yes—
152C2×#117—28no—
153C2×#117D4116yescomplemented
154C2×#117C2318yes—
155C2×#117C23116yes—
156C2×#117C2318yes—
157C2×#117C2318yes—
158C22×C4⋊C4C2312yes—
159C22×C4⋊C4C2312yes—
160C22×C4⋊C4C2318yes—
161C22×C4⋊C4C2314yes—
162C22×C4⋊C4C2312yes—
163C22×C22⋊C4C2311yescharacteristic
164C22×C22⋊C4C2314yes—
165C22×C22⋊C4C2318yes—
166C22×C22⋊C4C2314yes—
167C22×C22⋊C4C2318yes—
168C22×C22⋊C4C2318yes—
169C22×C22⋊C4C2311yescharacteristic
170C22×C22⋊C4C2311yescharacteristic
171C22×C22⋊C4C2311yescharacteristic
172C22×C42—28no—
173C22×C42C2314yes—
174C22×C42C2314yes—
175C22×C42C2311yescharacteristic
176C22×C42C2311yescharacteristic
177C22×C42C2311yescharacteristic
178C22×C42C2311yescharacteristic
179C22×C42C2312yes—
180C22×C42C2312yes—
181C22×C42C2312yes—
182C22×C42C2312yes—
183C22×C42C2312yes—
184C22×C42C2312yes—
185#400C23116yes—
186#399C23116yes—
187#398C23116yes—
188#398C23116yes—
189#397C23116yes—
190#396C23116yes—
191#396C23116yes—
192#395C23116yes—
193#394C23116yes—
194#394C23116yes—
195#393C23116yes—
196#392C23116yes—
197#391C2318yes—
198#391C2318yes—
199#390C2318yes—
200#390C2318yes—
201#390C2318yes—
202#390C2318yes—
203#390C2318yes—
204#390C2318yes—
205#390C2318yes—
206#390C2318yes—
207#390C2318yes—
208#390C2318yes—
209#390C2318yes—
210#390C2318yes—
211#389C2318yes—
212#389C2318yes—
213#389C2318yes—
214#389C2318yes—
215#389C2318yes—
216#389C2318yes—
217#389C2318yes—
218#389C2318yes—
219#389C2318yes—
220#389C2318yes—
221#388C23116yes—
222#388C23116yes—
223#388C23116yes—
224#388C23116yes—
225#388C23116yes—
226#388C23116yes—
227#388C23116yes—
228#388C23116yes—
229#388C23116yes—
230#388C23116yes—
231#388C23116yes—
232#388C23116yes—
233#387C23116yes—
234#387C23116yes—
235#386C23116yes—
236#386C23116yes—
237#386C23116yes—
238#386C2318yes—
239#386C23116yes—
240#386C2318yes—
241#386C23116yes—
242#385C23116yes—
243#385C23116yes—
244#385C23116yes—
245#384C2314yes—
246#384C2314yes—
247#382C2318yes—
248#381C2318yes—
249#380C2318yes—
250#380C2314yes—
251#380C2314yes—
252#380C2314yes—
253#380C2314yes—
254#379C2318yes—
255C4×C4⋊C4C2318yes—
256C4×C4⋊C4C2318yes—
257C4×C4⋊C4C2318yes—
258C4×C4⋊C4C2318yes—
259C4×C4⋊C4C2318yes—
260C4×C4⋊C4C2318yes—
261C4×C22⋊C4C23116yes—
262C4×C22⋊C4C2314yes—
263C4×C22⋊C4C2314yes—
264C4×C22⋊C4C2318yes—
265C4×C22⋊C4C23116yes—
266C4×C22⋊C4C2314yes—
267C4×C22⋊C4C2318yes—
268C4×C22⋊C4C2314yes—
269#376C2318yes—
270#376C2318yes—
271C2×#95C2312yes—
272C2×#95C2312yes—
273C2×#95C2318yes—
274C2×#95C2314yes—
275C2×#95C2312yes—
276C2×#95C2312yes—
277C43C2314yes—
278C43C2314yes—
279C43C2314yes—
280C43C2314yes—
281C25C2414yes—
282C25C2411yescharacteristic
283C22×Q8C2418yes—
284C22×D4—216no—
285C22×D4—216no—
286C22×D4—216no—
287C22×D4—28no—
288C22×D4—48no—
289C22×D4C2418yes—
290C22×D4C2418yes—
291C22×D4C2414yes—
292C22×D4C2418yes—
293C22×D4C2418yes—
294C22×D4C2414yes—
295C23×C4—24no—
296C23×C4—24no—
297C23×C4—24no—
298C23×C4—44no—
299C23×C4—44no—
300C23×C4C2×D418yes—
301C23×C4#4118yes—
302C23×C4C2414yes—
303C23×C4C2411yescharacteristic
304C23×C4C2414yes—
305C23×C4C2414yes—
306C23×C4C2411yescharacteristic
307C23×C4C2411yescharacteristic
308C23×C4C2412yes—
309C23×C4C2411yescharacteristic
310C23×C4C2418yes—
311C23×C4C2412yes—
312C23×C4C24116yes—
313C23×C4C2411yescharacteristic
314C23×C4C2412yes—
315C23×C4C2412yes—
316C23×C4C2412yes—
317C23×C4C2412yes—
318C23×C4C2411yescharacteristic
319C4⋊Q8—48no—
320#127—48no—
321#126—264no—
322#126—264no—
323#125—264no—
324#125—232no—
325#124—232no—
326#124—416no—
327#123—232no—
328#123—232no—
329#123—264no—
330#123—264no—
331#123—232no—
332#123—232no—
333C22⋊Q8—232no—
334C22⋊Q8—264no—
335C22⋊Q8—264no—
336#121—232no—
337#121—216no—
338#121—216no—
339#121—216no—
340#121—216no—
341#121—232no—
342#120—232no—
343#120—232no—
344C4×Q8—232no—
345C4×D4—264no—
346C4×D4—264no—
347C4×D4—232no—
348C4×D4—416no—
349C4×D4—416no—
350#117—232no—
351#117—232no—
352#117—264no—
353#117C2×D4164yescomplemented
354C2×C4⋊C4—232no—
355C2×C4⋊C4—28no—
356C2×C4⋊C4—28no—
357C2×C4⋊C4—48no—
358C2×C4⋊C4C2×D4116yescomplemented
359C2×C4⋊C4C2418yes—
360C2×C4⋊C4C24116yes—
361C2×C4⋊C4C2418yes—
362C2×C4⋊C4C2414yes—
363C2×C4⋊C4C2414yes—
364C2×C4⋊C4C24116yes—
365C2×C4⋊C4C24116yes—
366C2×C4⋊C4C24116yes—
367C2×C4⋊C4C2418yes—
368C2×C4⋊C4C2418yes—
369C2×C4⋊C4C2418yes—
370C2×C4⋊C4C2418yes—
371C2×C4⋊C4C2418yes—
372C2×C4⋊C4C2418yes—
373C2×C4⋊C4C2418yes—
374C2×C22⋊C4—216no—
375C2×C22⋊C4—24no—
376C2×C22⋊C4—232no—
377C2×C22⋊C4—216no—
378C2×C22⋊C4—232no—
379C2×C22⋊C4—416no—
380C2×C22⋊C4C2×D418yes—
381C2×C22⋊C4C2×D418yes—
382C2×C22⋊C4#4118yes—
383C2×C22⋊C4C2418yes—
384C2×C22⋊C4C2414yes—
385C2×C22⋊C4C24116yes—
386C2×C22⋊C4C2418yes—
387C2×C22⋊C4C24116yes—
388C2×C22⋊C4C24116yes—
389C2×C22⋊C4C2418yes—
390C2×C22⋊C4C2418yes—
391C2×C22⋊C4C24116yes—
392C2×C22⋊C4C24116yes—
393C2×C22⋊C4C24116yes—
394C2×C22⋊C4C24116yes—
395C2×C22⋊C4C24116yes—
396C2×C22⋊C4C24116yes—
397C2×C22⋊C4C2414yes—
398C2×C22⋊C4C2414yes—
399C2×C22⋊C4C2414yes—
400C2×C42—28no—
401C2×C42—24no—
402C2×C42—24no—
403C2×C42—216no—
404C2×C42—24no—
405C2×C42—216no—
406C2×C42—24no—
407C2×C42—44no—
408C2×C42—44no—
409C2×C42—44no—
410C2×C42—44no—
411C2×C42C2×D4116yescomplemented
412C2×C42C24116yes—
413C2×C42C2414yes—
414C2×C42C2414yes—
415C2×C42C2414yes—
416C2×C42C2414yes—
417C2×C42C2414yes—
418C2×C42C2414yes—
419C2×C42C2412yes—
420C2×C42C2412yes—
421C2×C42C2414yes—
422C2×C42C2412yes—
423C2×C42C2414yes—
424C2×C42C2412yes—
425C2×C42C2414yes—
426C2×C42C2414yes—
427C2×C42C2414yes—
428C2×C42C2414yes—
429C2×C42C2414yes—
430C2×C42C2414yes—
431#95C2418yes—
432#95C2418yes—
433#95C2418yes—
434#95C2418yes—
435#95C2418yes—
436#95C24116yes—
437#95C2418yes—
438#95C24116yes—
439#95C24116yes—
440#95C24116yes—
441#95C24116yes—
442C24—28no—
443C24—28no—
444C24—28no—
445C24—42no—
446C24—42no—
447C24—48no—
448C24—48no—
449C24C22×D414yes—
450C24C2×#4114yes—
451C24C2×#4114yes—
452C24C2518yes—
453C24C2512yes—
454C24C2511yescharacteristic
455C2×Q8—216no—
456C2×Q8—48no—
457C2×Q8—48no—
458C2×D4—216no—
459C2×D4—216no—
460C2×D4—216no—
461C2×D4—216no—
462C2×D4—216no—
463C2×D4—216no—
464C2×D4—216no—
465C2×D4—28no—
466C2×D4—216no—
467C2×D4—28no—
468C2×D4—216no—
469C2×D4—48no—
470C2×D4—48no—
471C2×D4—48no—
472C2×D4—48no—
473C2×D4—48no—
474C2×D4—464no—
475C2×D4—816no—
476C22×C4—232no—
477C22×C4—22no—
478C22×C4—28no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—28no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—28no—
487C22×C4—28no—
488C22×C4—28no—
489C22×C4—22no—
490C22×C4—24no—
491C22×C4—28no—
492C22×C4—28no—
493C22×C4—216no—
494C22×C4—28no—
495C22×C4—232no—
496C22×C4—416no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—44no—
506C22×C4—44no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—48no—
510C22×C4—48no—
511C22×C4—416no—
512C22×C4—416no—
513C22×C4—416no—
514C22×C4C22×D414yes—
515C22×C4C22×D4116yes—
516C22×C4C22×D414yes—
517C22×C4C22×D418yes—
518C22×C4C22×D418yes—
519C22×C4C2×#4118yes—
520C22×C4C2×#4114yes—
521C22×C4C2×#4118yes—
522C22×C4C2×#4114yes—
523C22×C4C2×#4118yes—
524C22×C4C2512yes—
525C22×C4C2514yes—
526C22×C4C2518yes—
527C22×C4C25116yes—
528C22×C4C2514yes—
529C22×C4C2514yes—
530C22×C4C2512yes—
531C22×C4C2512yes—
532C22×C4C2512yes—
533C22×C4C2511yescharacteristic
534C22×C4C2514yes—
535C22×C4C2512yes—
536C22×C4C2511yescharacteristic
537C4⋊C4—232no—
538C4⋊C4—232no—
539C4⋊C4—232no—
540C4⋊C4—232no—
541C4⋊C4—216no—
542C4⋊C4—216no—
543C4⋊C4—216no—
544C4⋊C4—28no—
545C4⋊C4—28no—
546C4⋊C4—216no—
547C4⋊C4—216no—
548C4⋊C4—48no—
549C4⋊C4—48no—
550C4⋊C4—48no—
551C4⋊C4C22×D4132yes—
552C22⋊C4—216no—
553C22⋊C4—216no—
554C22⋊C4—28no—
555C22⋊C4—232no—
556C22⋊C4—232no—
557C22⋊C4—232no—
558C22⋊C4—232no—
559C22⋊C4—216no—
560C22⋊C4—216no—
561C22⋊C4—232no—
562C22⋊C4—232no—
563C22⋊C4—416no—
564C22⋊C4—416no—
565C22⋊C4—416no—
566C22⋊C4C22×D4116yes—
567C22⋊C4C22×D4116yes—
568C22⋊C4C2×#41116yes—
569C42—232no—
570C42—24no—
571C42—28no—
572C42—24no—
573C42—24no—
574C42—28no—
575C42—24no—
576C42—28no—
577C42—28no—
578C42—28no—
579C42—28no—
580C42—28no—
581C42—28no—
582C42—44no—
583C42—44no—
584C42—44no—
585C42—44no—
586C42C22×D4116yes—
587C42C22×D4116yes—
588C23—22no—
589C23—22no—
590C23—24no—
591C23—24no—
592C23—28no—
593C23—28no—
594C23—28no—
595C23—216no—
596C23—216no—
597C23—44no—
598C23—44no—
599C23—48no—
600C23—48no—
601C23—416no—
602C23—88no—
603C23—816no—
604C23—816no—
605C23—88no—
606C23#532116yes—
607C23C23×D412yes—
608C23C23×D414yes—
609C23C22×#4114yes—
610C23C22×#4114yes—
611C23C22×#4112yes—
612C23C22×#4112yes—
613C23C2611yescharacteristic
614Q8—816no—
615D4—432no—
616D4—432no—
617D4—416no—
618D4—816no—
619D4—816no—
620D4—88no—
621C2×C4—28no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—24no—
628C2×C4—24no—
629C2×C4—24no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—24no—
636C2×C4—232no—
637C2×C4—28no—
638C2×C4—28no—
639C2×C4—28no—
640C2×C4—216no—
641C2×C4—28no—
642C2×C4—216no—
643C2×C4—22no—
644C2×C4—24no—
645C2×C4—28no—
646C2×C4—28no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—216no—
650C2×C4—24no—
651C2×C4—216no—
652C2×C4—48no—
653C2×C4—44no—
654C2×C4—48no—
655C2×C4—48no—
656C2×C4—48no—
657C2×C4—416no—
658C2×C4—48no—
659C2×C4—44no—
660C2×C4—416no—
661C2×C4—832no—
662C2×C4—816no—
663C2×C4C23×D418yes—
664C2×C4C23×D414yes—
665C2×C4C23×D418yes—
666C2×C4C23×D414yes—
667C2×C4C22×#4112yes—
668C2×C4C22×#4114yes—
669C2×C4C22×#4118yes—
670C2×C4C22×#4112yes—
671C2×C4#58514yes—
672C2×C4#58514yes—
673C22—24no—
674C22—22no—
675C22—24no—
676C22—28no—
677C22—24no—
678C22—28no—
679C22—22no—
680C22—24no—
681C22—416no—
682C22—48no—
683C22—416no—
684C22—416no—
685C22—48no—
686C22—48no—
687C22—1616no—
688C22C2×#53218yes—
689C22C2×#53214yes—
690C22C24×D411yescharacteristic
691C22C23×#4111yescharacteristic
692C22C23×#4111yescharacteristic
693C22C2×#58512yes—
694C22C2×#58512yes—
695C4—22no—
696C4—24no—
697C4—28no—
698C4—28no—
699C4—28no—
700C4—24no—
701C4—24no—
702C4—24no—
703C4—44no—
704C4—416no—
705C4—42no—
706C4—48no—
707C4#349114yescomplemented
708C2—28no—
709C2—24no—
710C2—88no—
711C2C22×#53211yescharacteristic
712C2C2×#349111yescharacteristic
713C2#6278112yes—
714C2#6281212yes—
715C2#6281411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35001C2
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×#3491C2semidirect
2. #36631C2semidirect
3. C2×#2854C2semidirect
4. #36267C2semidirect
5. #36265C2semidirect
6. #36264C2semidirect
7. #35119C2semidirect
8. #35089C2semidirect
9. #35006C2semidirect
10. #35004C2semidirect
11. #35002C2semidirect
13. #34993C2semidirect
14. #34273C2semidirect
15. #34205C2semidirect
16. C2×C4×#117C2semidirect
18. C2×#552C22semidirect
19. C2×#551C22semidirect
21. C2×#539C22semidirect
24. C2×#529C22semidirect
31. #2861C22semidirect
32. #2860C22semidirect
33. #2860C22semidirect
34. #2859C22semidirect
35. #2858C22semidirect
36. #2857C22semidirect
40. #2854C22semidirect
41. #2854C22semidirect
42. #2854C22semidirect
43. #2854C22semidirect
44. #2854C22semidirect
45. #2850C22semidirect
46. #2659C22semidirect
48. #2639C22semidirect
49. #2618C22semidirect
50. #2611C22semidirect
51. #2610C22semidirect
52. #2604C22semidirect
53. #2603C22semidirect
54. #2560C22semidirect
55. #2558C22semidirect
56. #2556C22semidirect
57. #2554C22semidirect
58. #2549C22semidirect
60. #2519C22semidirect
61. #2512C22semidirect
62. #2506C22semidirect
64. #2488C22semidirect
65. #2472C22semidirect
66. #2461C22semidirect
67. #2452C22semidirect
68. #2445C22semidirect
69. #2440C22semidirect
71. #2413C22semidirect
72. #2411C22semidirect
75. #2359C22semidirect
76. #2358C22semidirect
77. #2344C22semidirect
78. #2342C22semidirect
79. D4×C22⋊C4C22semidirect
80. #2325C22semidirect
81. #2325C22semidirect
84. C4×C4⋊Q8C22semidirect
85. C4×#127C22semidirect
86. C4×#124C22semidirect
87. C4×#121C22semidirect
88. C4×#121C22semidirect
89. #2293C22semidirect
90. #2293C22semidirect
91. C2×#390C22semidirect
92. C2×#389C22semidirect
93. C2×#388C22semidirect
96. C4×#117C22semidirect
97. C4×#117C22semidirect
98. C2×C4×C4⋊C4C22semidirect
99. C2×C4×C4⋊C4C22semidirect
104. C2×#376C22semidirect
105. C2×C43C22semidirect
153. C2×#117D4semidirect
353. #117C2×D4semidirect
358. C2×C4⋊C4C2×D4semidirect
411. C2×C42C2×D4semidirect
707. C4#3491semidirect

Maximal subgroups

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

subgroupindex
C2×#34912
#366312
C2×#28542
#362672
#362652
#362642
#351192
#350892
#350062
#350042
#350022
#350012
#349932
#342732
#342052
C2×C4×#1172