Finite Group Databasebeta

← #6343312

Subgroups — #6343312

Order 512.

3665 conjugacy classes of subgroups.

The subgroup lattice has 755 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3519C211yesmaximal, characteristic
2#60230C211yesmaximal, characteristic, complemented
3C4×#518C211yesmaximal, characteristic, complemented
4#17547C2116yesmaximal, complemented
5#17544C212yesmaximal, complemented
6#17542C214yesmaximal, complemented
7#17537C212yesmaximal, complemented
8C2×#1507C214yesmaximal, complemented
9#3519—24no—
10#3519—24no—
11#3519C418yescomplemented
12#3519C2218yes—
13C2×#555C411yescharacteristic, complemented
14C2×#554C411yescharacteristic, complemented
15C2×#553—21no—
16C2×#553C412yescomplemented
17C2×#550C411yescharacteristic, complemented
18C2×#546—22no—
19C2×#546C412yescomplemented
20C2×D42—21no—
21C2×D42C411yescharacteristic, complemented
22C2×#540—21no—
23C2×#538—22no—
24C2×#532C2211yescharacteristic
25C2×#529C2211yescharacteristic
26C2×#525C2212yes—
27C22×#121C2212yes—
28C2×#518—21no—
29C2×#518—21no—
30C22×C4×D4C2211yescharacteristic
31#2975—21no—
32#2974C2218yescomplemented
33#2973—22no—
34#2972—21no—
35D4×M16—24no—
36#2920C2212yescomplemented
37C2×#407C2214yescomplemented
38#2275C2218yescomplemented
39#2274—21no—
40#2273—22no—
41C42×D4—24no—
42C4×#117C2212yescomplemented
43C2×C4×C22⋊C4C2214yescomplemented
44#1509C2218yescomplemented
45#1508C2214yescomplemented
46#1507C2214yes—
47#1507C22116yescomplemented
48#1507C2218yescomplemented
49#1505C2218yescomplemented
50#1504C22116yescomplemented
51#1502C2218yescomplemented
52#1501C22116yescomplemented
53#1500C2218yescomplemented
54C2×#327C22116yescomplemented
55C22×#41—21no—
56C22×#41C2×C412yescomplemented
57C23×D4—22no—
58C23×D4—21no—
59C23×D4C2×C412yescomplemented
60C23×D4D411yescharacteristic
61C24×C4C2312yes—
62C22×M16—24no—
63#555—24no—
64#555C2×C418yescomplemented
65#554—24no—
66#554C2×C418yescomplemented
67#553—28no—
68#553—28no—
69#553—28no—
70#553C2×C4116yescomplemented
71#550—24no—
72#550C2×C418yescomplemented
73#546—28no—
74#546—216no—
75#546—216no—
76#546C2×C4116yescomplemented
77D42—28no—
78D42—28no—
79D42—24no—
80D42C2×C418yescomplemented
81#540—28no—
82#540—28no—
83#538—216no—
84#538—216no—
85#532—22no—
86#532—22no—
87#532C2×C414yescomplemented
88#532C2314yes—
89C2×C4⋊Q8C2×C411yescharacteristic, complemented
90C2×#127—21no—
91C2×#127C2×C411yescharacteristic, complemented
92#529—22no—
93#529—22no—
94#529C2×C414yescomplemented
95#529C2314yes—
96C2×#126—22no—
97C2×#126—21no—
98C2×#125—21no—
99C2×#125C2×C411yescharacteristic, complemented
100C2×#124—22no—
101C2×#124—21no—
102C2×#124C2×C411yescharacteristic, complemented
103#525—24no—
104#525—24no—
105#525C2×C418yescomplemented
106#525C2318yes—
107C2×#123—22no—
108C2×#123—21no—
109C2×#123—22no—
110C2×#123—22no—
111C2×C22⋊Q8—22no—
112C2×C22⋊Q8C2×C412yescomplemented
113C2×C22⋊Q8C2311yescharacteristic
114C2×#121—22no—
115C2×#121—21no—
116C2×#121—22no—
117C2×#121—22no—
118C2×#121—24no—
119C2×#121—24no—
120C2×#121—21no—
121C2×#121—21no—
122C2×#121—22no—
123C2×#121—22no—
124C2×#121C2×C412yescomplemented
125C2×#121C2×C412yescomplemented
126C2×#121C2×C418yescomplemented
127C2×#121C2×C412yescomplemented
128C2×#121C2311yescharacteristic
129C2×#121C2312yes—
130C2×#121C2318yes—
131C2×#120—22no—
132C2×#120—22no—
133C2×#120—22no—
134#518—216no—
135#518—28no—
136#518—28no—
137C2×C4×Q8C2×C411yescharacteristic, complemented
138C2×C4×D4—21no—
139C2×C4×D4—28no—
140C2×C4×D4—22no—
141C2×C4×D4—22no—
142C2×C4×D4—21no—
143C2×C4×D4—21no—
144C2×C4×D4—22no—
145C2×C4×D4—21no—
146C2×C4×D4C2×C411yescharacteristic
147C2×C4×D4C2×C412yes—
148C2×C4×D4C2×C411yescharacteristic
149C2×C4×D4C2×C414yes—
150C2×C4×D4C2×C411yescharacteristic, complemented
151C2×C4×D4C2×C412yescomplemented
152C2×C4×D4D411yescharacteristic
153C2×C4×D4D414yes—
154C2×C4×D4D412yes—
155C2×C4×D4D411yescharacteristic
156C2×C4×D4D414yes—
157C2×C4×D4C2314yes—
158C2×#117—22no—
159C2×#117—21no—
160C2×#117—21no—
161C2×#117C2×C412yescomplemented
162C22×C4⋊C4C2×C412yescomplemented
163C22×C4⋊C4D411yescharacteristic
164C22×C22⋊C4—24no—
165C22×C22⋊C4—22no—
166C22×C22⋊C4—22no—
167C22×C22⋊C4D412yes—
168C22×C42—24no—
169C22×C42C2311yescharacteristic
170#436—28no—
171#435—216no—
172C8×D4—28no—
173#432—22no—
174#432C2314yescomplemented
175#431—22no—
176#431C2314yescomplemented
177#423—22no—
178#407—24no—
179#407—24no—
180#407C2314yes—
181#407C2318yescomplemented
182C2×C22⋊C8—24no—
183C2×C22⋊C8C2318yescomplemented
184C4×M16—22no—
185C4×C4⋊C4—28no—
186C4×C4⋊C4—22no—
187C4×C4⋊C4C2314yescomplemented
188C4×C22⋊C4—24no—
189C4×C22⋊C4—24no—
190C4×C22⋊C4—22no—
191C4×C22⋊C4—216no—
192C4×C22⋊C4C2314yes—
193C4×C22⋊C4C2318yescomplemented
194#376C2314yescomplemented
195C2×#95C2318yescomplemented
196C43—22no—
197#328C23116yescomplemented
198#327C23116yes—
199#327C23132yescomplemented
200C25—22no—
201C25C2×D412yes—
202C2×#41—24no—
203C2×#41—24no—
204C2×#41—24no—
205C2×#41—84no—
206C2×#41—84no—
207C2×#41C22×C418yes—
208C22×Q8—21no—
209C22×Q8C22×C411yescharacteristic
210C22×D4—28no—
211C22×D4—22no—
212C22×D4—22no—
213C22×D4—21no—
214C22×D4—22no—
215C22×D4—22no—
216C22×D4—22no—
217C22×D4—28no—
218C22×D4—28no—
219C22×D4—28no—
220C22×D4—21no—
221C22×D4—21no—
222C22×D4—22no—
223C22×D4—24no—
224C22×D4—48no—
225C22×D4—84no—
226C22×D4—88no—
227C22×D4C22⋊C412yes—
228C22×D4C22⋊C411yescharacteristic
229C22×D4C22⋊C414yes—
230C22×D4C22⋊C411yescharacteristic
231C22×D4C22×C411yescharacteristic
232C22×D4C22×C412yes—
233C22×D4C22×C418yes—
234C22×D4C2×D414yes—
235C23×C4—22no—
236C23×C4—28no—
237C23×C4—21no—
238C23×C4—22no—
239C23×C4—22no—
240C23×C4—84no—
241C23×C4C22×C412yes—
242C23×C4C22×C412yes—
243C23×C4C22×C414yes—
244C23×C4C2×D411yescharacteristic
245C23×C4C2×D411yescharacteristic
246C23×C4C2×D414yes—
247C23×C4C2×D414yes—
248C23×C4C2×D412yes—
249C23×C4C2×D412yes—
250C23×C4C2×D412yes—
251C23×C4C2411yescharacteristic
252C23×C4C2414yes—
253C2×M16—24no—
254C2×M16—28no—
255C2×M16—88no—
256C22×C8—28no—
257C4⋊Q8—22no—
258C4⋊Q8C22×C414yes—
259#127—28no—
260#127—22no—
261#127C22×C414yes—
262#126—216no—
263#126—24no—
264#126—24no—
265#125—28no—
266#125—22no—
267#125C22×C414yes—
268#124—216no—
269#124—24no—
270#124—22no—
271#124—24no—
272#124C22×C414yes—
273#123—28no—
274#123—24no—
275#123—28no—
276#123—24no—
277#123—216no—
278#123—216no—
279C22⋊Q8—24no—
280C22⋊Q8—21no—
281C22⋊Q8—21no—
282C22⋊Q8—216no—
283C22⋊Q8C22×C418yes—
284C22⋊Q8C22×C412yes—
285C22⋊Q8C2412yes—
286#121—216no—
287#121—28no—
288#121—28no—
289#121—28no—
290#121—24no—
291#121—24no—
292#121—24no—
293#121—24no—
294#121—21no—
295#121—21no—
296#121—22no—
297#121—22no—
298#121—28no—
299#121—28no—
300#121—24no—
301#121—28no—
302#121—216no—
303#121—216no—
304#121C22×C412yes—
305#121C22×C414yes—
306#121C22×C418yes—
307#121C22×C418yes—
308#121C22×C418yes—
309#121C2412yes—
310#121C2414yes—
311#120—28no—
312#120—28no—
313#120—216no—
314#120—216no—
315C4×Q8—22no—
316C4×Q8C22×C414yes—
317C4×D4—264no—
318C4×D4—28no—
319C4×D4—28no—
320C4×D4—28no—
321C4×D4—24no—
322C4×D4—28no—
323C4×D4—28no—
324C4×D4—24no—
325C4×D4—28no—
326C4×D4—216no—
327C4×D4—24no—
328C4×D4—22no—
329C4×D4—24no—
330C4×D4—24no—
331C4×D4C22⋊C414yes—
332C4×D4C22⋊C418yes—
333C4×D4C22⋊C414yes—
334C4×D4C22⋊C414yes—
335C4×D4C22⋊C418yes—
336C4×D4C22⋊C414yes—
337C4×D4C22×C414yes—
338C4×D4C22×C418yes—
339C4×D4C22×C414yes—
340C4×D4C22×C418yes—
341C4×D4C22×C414yes—
342C4×D4C2×D414yes—
343C4×D4C2×D418yes—
344C4×D4C2×D414yes—
345#117—216no—
346#117—24no—
347#117—28no—
348#117—24no—
349#117—24no—
350#117C22×C418yes—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—24no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—21no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—21no—
358C2×C4⋊C4—21no—
359C2×C4⋊C4—24no—
360C2×C4⋊C4C22⋊C411yescharacteristic
361C2×C4⋊C4C22⋊C411yescharacteristic
362C2×C4⋊C4C22⋊C412yes—
363C2×C4⋊C4C22⋊C414yes—
364C2×C4⋊C4C22×C411yescharacteristic
365C2×C4⋊C4C22×C412yes—
366C2×C4⋊C4C22×C418yes—
367C2×C4⋊C4C22×C411yescharacteristic
368C2×C4⋊C4C2×D414yes—
369C2×C22⋊C4—232no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—24no—
373C2×C22⋊C4—28no—
374C2×C22⋊C4—21no—
375C2×C22⋊C4—21no—
376C2×C22⋊C4—22no—
377C2×C22⋊C4—22no—
378C2×C22⋊C4—28no—
379C2×C22⋊C4—21no—
380C2×C22⋊C4—22no—
381C2×C22⋊C4—21no—
382C2×C22⋊C4—22no—
383C2×C22⋊C4—21no—
384C2×C22⋊C4—22no—
385C2×C22⋊C4—28no—
386C2×C22⋊C4—216no—
387C2×C22⋊C4C22⋊C412yes—
388C2×C22⋊C4C22⋊C412yes—
389C2×C22⋊C4C22⋊C412yes—
390C2×C22⋊C4C22⋊C412yes—
391C2×C22⋊C4C22⋊C418yes—
392C2×C22⋊C4C2×D418yes—
393C2×C42—22no—
394C2×C42—21no—
395C2×C42—24no—
396C2×C42—24no—
397C2×C42—24no—
398C2×C42—28no—
399C2×C42—88no—
400C2×C42C22×C411yescharacteristic
401C2×C42C22×C411yescharacteristic
402C2×C42C22×C412yes—
403C2×C42C2×D412yes—
404C2×C42C2×D411yescharacteristic
405C2×C42C2×D411yescharacteristic
406C2×C42C2×D412yes—
407C2×C42C2412yes—
408C4⋊C8—24no—
409C4⋊C8—24no—
410C22⋊C8—24no—
411C22⋊C8—28no—
412C22⋊C8—28no—
413C22⋊C8C2418yes—
414#97—24no—
415C4×C8—24no—
416#95—28no—
417#95—24no—
418#95C2418yes—
419C24—28no—
420C24—21no—
421C24—22no—
422C24—28no—
423C24—44no—
424C24—48no—
425C24—82no—
426C24—84no—
427C24—84no—
428C24C2×C22⋊C412yes—
429C24C2×C22⋊C414yes—
430C24C2×C22⋊C412yes—
431C24C22×D411yescharacteristic
432C24C22×D414yes—
433#41—88no—
434#41—88no—
435#41—88no—
436#41—88no—
437C2×Q8—21no—
438C2×Q8—24no—
439C2×Q8—42no—
440C2×Q8—82no—
441C2×Q8C23×C412yes—
442C2×D4—28no—
443C2×D4—216no—
444C2×D4—216no—
445C2×D4—28no—
446C2×D4—24no—
447C2×D4—22no—
448C2×D4—24no—
449C2×D4—22no—
450C2×D4—28no—
451C2×D4—28no—
452C2×D4—28no—
453C2×D4—24no—
454C2×D4—21no—
455C2×D4—22no—
456C2×D4—24no—
457C2×D4—28no—
458C2×D4—24no—
459C2×D4—42no—
460C2×D4—44no—
461C2×D4—44no—
462C2×D4—48no—
463C2×D4—48no—
464C2×D4—432no—
465C2×D4—44no—
466C2×D4—88no—
467C2×D4—88no—
468C2×D4—84no—
469C2×D4—84no—
470C2×D4—84no—
471C2×D4—82no—
472C2×D4—84no—
473C2×D4—816no—
474C2×D4—816no—
475C2×D4#10418yes—
476C2×D4C2×C22⋊C418yes—
477C2×D4C2×C22⋊C414yes—
478C2×D4C2×C22⋊C414yes—
479C2×D4C23×C412yes—
480C2×D4C23×C414yes—
481C22×C4—24no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—22no—
485C22×C4—21no—
486C22×C4—28no—
487C22×C4—232no—
488C22×C4—28no—
489C22×C4—24no—
490C22×C4—28no—
491C22×C4—28no—
492C22×C4—48no—
493C22×C4—48no—
494C22×C4—42no—
495C22×C4—44no—
496C22×C4—44no—
497C22×C4—42no—
498C22×C4—44no—
499C22×C4—84no—
500C22×C4—82no—
501C22×C4—82no—
502C22×C4—82no—
503C22×C4—84no—
504C22×C4—88no—
505C22×C4—88no—
506C22×C4—84no—
507C22×C4—84no—
508C22×C4—84no—
509C22×C4C2×C22⋊C411yescharacteristic
510C22×C4C2×C22⋊C412yes—
511C22×C4C2×C22⋊C414yes—
512C22×C4C2×C22⋊C414yes—
513C22×C4C2×C22⋊C412yes—
514C22×C4C2×C22⋊C411yescharacteristic
515C22×C4C2×C22⋊C411yescharacteristic
516C22×C4C2×C22⋊C412yes—
517C22×C4C2×C22⋊C414yes—
518C22×C4C2×C22⋊C412yes—
519C22×C4C2×C22⋊C414yes—
520C22×C4C2×C22⋊C414yes—
521C22×C4C2×C22⋊C411yescharacteristic
522C22×C4C23×C411yescharacteristic
523C22×C4C23×C411yescharacteristic
524C22×C4C23×C414yes—
525C22×C4C23×C414yes—
526C22×C4C22×D412yes—
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D412yes—
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D414yes—
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D414yes—
533C22×C4C22×D414yes—
534C22×C4C2511yescharacteristic
535M16—48no—
536M16—88no—
537C2×C8—28no—
538C2×C8—88no—
539C4⋊C4—216no—
540C4⋊C4—21no—
541C4⋊C4—22no—
542C4⋊C4—28no—
543C4⋊C4—24no—
544C4⋊C4—22no—
545C4⋊C4—24no—
546C4⋊C4—24no—
547C4⋊C4—28no—
548C4⋊C4—24no—
549C4⋊C4—21no—
550C4⋊C4—22no—
551C4⋊C4C2×C22⋊C414yes—
552C4⋊C4C2×C22⋊C414yes—
553C4⋊C4C2×C22⋊C418yes—
554C4⋊C4C23×C412yes—
555C4⋊C4C23×C414yes—
556C4⋊C4C23×C412yes—
557C22⋊C4—216no—
558C22⋊C4—232no—
559C22⋊C4—28no—
560C22⋊C4—28no—
561C22⋊C4—22no—
562C22⋊C4—22no—
563C22⋊C4—22no—
564C22⋊C4—24no—
565C22⋊C4—28no—
566C22⋊C4—28no—
567C22⋊C4—24no—
568C22⋊C4—24no—
569C22⋊C4—28no—
570C22⋊C4—24no—
571C22⋊C4—28no—
572C22⋊C4—22no—
573C22⋊C4—24no—
574C22⋊C4C2×C22⋊C418yes—
575C22⋊C4C2×C22⋊C418yes—
576C22⋊C4C2×C22⋊C418yes—
577C22⋊C4C2×C22⋊C418yes—
578C42—216no—
579C42—28no—
580C42—24no—
581C42—48no—
582C42—84no—
583C42—88no—
584C42C2×C22⋊C412yes—
585C42C2×C22⋊C412yes—
586C42C2×C22⋊C412yes—
587C42C2×C22⋊C412yes—
588C42C23×C412yes—
589C42C23×C412yes—
590C42C22×D412yes—
591C42C22×D412yes—
592C23—22no—
593C23—28no—
594C23—22no—
595C23—28no—
596C23—28no—
597C23—24no—
598C23—22no—
599C23—24no—
600C23—44no—
601C23—41no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—44no—
606C23—42no—
607C23—44no—
608C23—44no—
609C23—44no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—44no—
614C23—416no—
615C23—88no—
616C23—88no—
617C23—816no—
618C23—1616no—
619C23C2×#10418yes—
620C23C22×C22⋊C414yes—
621C23C22×C22⋊C411yescharacteristic
622C23C22×C22⋊C414yes—
623C23C22×C22⋊C411yescharacteristic
624C23C23×D411yescharacteristic
625Q8—42no—
626Q8—42no—
627Q8—84no—
628D4—216no—
629D4—28no—
630D4—42no—
631D4—44no—
632D4—44no—
633D4—48no—
634D4—44no—
635D4—48no—
636D4—416no—
637D4—42no—
638D4—44no—
639D4—48no—
640D4—88no—
641D4—84no—
642D4—88no—
643D4—88no—
644D4—88no—
645D4C2×#104116yes—
646C2×C4—24no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—28no—
652C2×C4—28no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—216no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—24no—
659C2×C4—22no—
660C2×C4—44no—
661C2×C4—44no—
662C2×C4—44no—
663C2×C4—42no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—44no—
669C2×C4—44no—
670C2×C4—44no—
671C2×C4—42no—
672C2×C4—44no—
673C2×C4—44no—
674C2×C4—41no—
675C2×C4—42no—
676C2×C4—48no—
677C2×C4—42no—
678C2×C4—44no—
679C2×C4—42no—
680C2×C4—48no—
681C2×C4—42no—
682C2×C4—48no—
683C2×C4—88no—
684C2×C4—88no—
685C2×C4—88no—
686C2×C4—832no—
687C2×C4C2×#10414yes—
688C2×C4C22×C22⋊C414yes—
689C2×C4C22×C22⋊C411yescharacteristic
690C2×C4C22×C22⋊C412yes—
691C2×C4C22×C22⋊C412yes—
692C2×C4C22×C22⋊C412yes—
693C2×C4C22×C22⋊C414yes—
694C2×C4C22×C22⋊C411yescharacteristic
695C2×C4C22×C22⋊C412yes—
696C2×C4C24×C411yescharacteristic
697C2×C4C23×D411yescharacteristic
698C8—48no—
699C22—21no—
700C22—21no—
701C22—24no—
702C22—21no—
703C22—24no—
704C22—21no—
705C22—21no—
706C22—24no—
707C22—21no—
708C22—24no—
709C22—21no—
710C22—24no—
711C22—48no—
712C22—416no—
713C22—44no—
714C22—44no—
715C22—42no—
716C22—44no—
717C22—42no—
718C22—42no—
719C22—44no—
720C22—84no—
721C22—88no—
722C22—88no—
723C22—84no—
724C22—1616no—
725C22C22×#10412yes—
726C22C22×#10418yes—
727C22C23×C22⋊C411yescharacteristic
728C22#358512yes—
729C4—21no—
730C4—21no—
731C4—21no—
732C4—24no—
733C4—24no—
734C4—22no—
735C4—22no—
736C4—22no—
737C4—416no—
738C4—42no—
739C4—42no—
740C4—44no—
741C4—42no—
742C4#288312yes—
743C4C22×#10414yes—
744C2—22no—
745C2—22no—
746C2—28no—
747C2—44no—
748C2—41no—
749C2—84no—
750C2—82no—
751C2C2×#288311yescharacteristic
752C2#6008711yescharacteristic
753C2C23×#10411yescharacteristic
subgroupG/H
center, socleC22C23×C22⋊C4
commutatorC2×C4C24×C4
Frattini, cosocleC22×C4C25
prime radicalC2×#3519C2
LCSG ▷ C2×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22 ◁ C22×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C22 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. #60230C2semidirect
3. C4×#518C2semidirect
4. #17547C2semidirect
5. #17544C2semidirect
6. #17542C2semidirect
7. #17537C2semidirect
8. C2×#1507C2semidirect
11. #3519C4semidirect
13. C2×#555C4semidirect
14. C2×#554C4semidirect
16. C2×#553C4semidirect
17. C2×#550C4semidirect
19. C2×#546C4semidirect
21. C2×D42C4semidirect
32. #2974C22semidirect
36. #2920C22semidirect
37. C2×#407C22semidirect
38. #2275C22semidirect
42. C4×#117C22semidirect
43. C2×C4×C22⋊C4C22semidirect
44. #1509C22semidirect
45. #1508C22semidirect
47. #1507C22semidirect
48. #1507C22semidirect
49. #1505C22semidirect
50. #1504C22semidirect
51. #1502C22semidirect
52. #1501C22semidirect
53. #1500C22semidirect
54. C2×#327C22semidirect
56. C22×#41C2×C4semidirect
59. C23×D4C2×C4semidirect
64. #555C2×C4semidirect
66. #554C2×C4semidirect
70. #553C2×C4semidirect
72. #550C2×C4semidirect
76. #546C2×C4semidirect
80. D42C2×C4semidirect
87. #532C2×C4semidirect
89. C2×C4⋊Q8C2×C4semidirect
91. C2×#127C2×C4semidirect
94. #529C2×C4semidirect
99. C2×#125C2×C4semidirect
102. C2×#124C2×C4semidirect
105. #525C2×C4semidirect
112. C2×C22⋊Q8C2×C4semidirect
124. C2×#121C2×C4semidirect
125. C2×#121C2×C4semidirect
126. C2×#121C2×C4semidirect
127. C2×#121C2×C4semidirect
137. C2×C4×Q8C2×C4semidirect
150. C2×C4×D4C2×C4semidirect
151. C2×C4×D4C2×C4semidirect
161. C2×#117C2×C4semidirect
162. C22×C4⋊C4C2×C4semidirect
174. #432C23semidirect
176. #431C23semidirect
181. #407C23semidirect
183. C2×C22⋊C8C23semidirect
187. C4×C4⋊C4C23semidirect
193. C4×C22⋊C4C23semidirect
194. #376C23semidirect
195. C2×#95C23semidirect
197. #328C23semidirect
199. #327C23semidirect

Maximal subgroups

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

subgroupindex
C2×#35192
#602302
C4×#5182
#175472
#175442
#175422
#175372
C2×#15072