Finite Group Databasebeta

← #6343313

Subgroups — #6343313

Order 512.

3449 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3520C211yesmaximal, characteristic
2#60230C211yesmaximal, characteristic, complemented
3C4×#518C211yesmaximal, characteristic, complemented
4#17548C2116yesmaximal, complemented
5#17545C212yesmaximal, complemented
6#17542C214yesmaximal, complemented
7#17537C212yesmaximal, complemented
8C2×#1508C214yesmaximal, complemented
9#3520—24no—
10#3520—24no—
11#3520C418yescomplemented
12#3520C2218yes—
13C2×#556C411yescharacteristic, complemented
14C2×#554—21no—
15C2×#552C412yescomplemented
16C2×#551—22no—
17C2×D4×Q8C411yescharacteristic, complemented
18C2×#548C412yescomplemented
19C2×#547C411yescharacteristic, complemented
20C2×#547C411yescharacteristic, complemented
21C2×#546—21no—
22C2×#542—21no—
23C2×#539—22no—
24C2×#533C2211yescharacteristic
25C2×#529C2211yescharacteristic
26C2×#525C2212yes—
27C22×C22⋊Q8C2212yes—
28C2×#520—21no—
29C2×#518—21no—
30C22×C4×D4C2211yescharacteristic
31#2975—21no—
32#2974C2218yescomplemented
33#2973—22no—
34#2972—21no—
35D4×M16—24no—
36#2920C2212yes—
37C2×#407C2214yes—
38#2275C2218yescomplemented
39#2274—21no—
40#2273—22no—
41C42×D4—24no—
42C4×#117C2212yes—
43C2×C4×C22⋊C4C2214yes—
44#1509C2218yescomplemented
45#1508C2214yes—
46#1508C2218yes—
47#1508C22116yescomplemented
48#1507C2214yes—
49#1506C2218yescomplemented
50#1504C22116yescomplemented
51#1503C2218yescomplemented
52#1501C22116yescomplemented
53#1500C2218yescomplemented
54C2×#328C22116yescomplemented
55C22×#41—21no—
56C22×#41C2×C412yescomplemented
57C23×Q8C2×C412yescomplemented
58C23×D4D411yescharacteristic
59C24×C4C2312yes—
60C22×M16—24no—
61#556—24no—
62#556C2×C418yescomplemented
63#554—28no—
64#554—28no—
65#552—28no—
66#552C2×C4116yescomplemented
67#551—216no—
68#551—216no—
69D4×Q8—24no—
70D4×Q8C2×C418yescomplemented
71#548—28no—
72#548C2×C4116yescomplemented
73#547—24no—
74#547—24no—
75#547C2×C418yescomplemented
76#547C2×C418yescomplemented
77#546—28no—
78#546—28no—
79#542—28no—
80#542—28no—
81#539—216no—
82#539—216no—
83#533—22no—
84#533—22no—
85#533C2×C414yescomplemented
86#533C2314yes—
87C2×C4⋊Q8—21no—
88C2×C4⋊Q8C2×C411yescharacteristic, complemented
89C2×C4⋊Q8C2×C411yescharacteristic, complemented
90#529—22no—
91#529—22no—
92#529C2×C414yescomplemented
93#529C2314yes—
94C2×#126—22no—
95C2×#126—22no—
96C2×#126—21no—
97C2×#125—22no—
98C2×#125—21no—
99C2×#125C2×C411yescharacteristic, complemented
100C2×#124—21no—
101C2×#124—22no—
102C2×#124C2×C411yescharacteristic, complemented
103#525—24no—
104#525—24no—
105#525C2×C418yescomplemented
106#525C2318yes—
107C2×#123—22no—
108C2×#123—22no—
109C2×#123—21no—
110C2×#123—22no—
111C2×#123—22no—
112C2×C22⋊Q8—22no—
113C2×C22⋊Q8—22no—
114C2×C22⋊Q8—24no—
115C2×C22⋊Q8—24no—
116C2×C22⋊Q8—21no—
117C2×C22⋊Q8—22no—
118C2×C22⋊Q8—21no—
119C2×C22⋊Q8—22no—
120C2×C22⋊Q8C2×C412yescomplemented
121C2×C22⋊Q8C2×C412yescomplemented
122C2×C22⋊Q8C2×C418yescomplemented
123C2×C22⋊Q8C2×C412yescomplemented
124C2×C22⋊Q8C2311yescharacteristic
125C2×C22⋊Q8C2312yes—
126C2×C22⋊Q8C2318yes—
127C2×#121—22no—
128C2×#121—21no—
129C2×#121C2×C412yescomplemented
130C2×#121C2311yescharacteristic
131C2×#120—22no—
132#520—28no—
133#520—28no—
134#518—216no—
135C2×C4×Q8—21no—
136C2×C4×Q8—21no—
137C2×C4×Q8C2×C411yescharacteristic, complemented
138C2×C4×Q8C2×C412yescomplemented
139C2×C4×D4—21no—
140C2×C4×D4—28no—
141C2×C4×D4—22no—
142C2×C4×D4—22no—
143C2×C4×D4—21no—
144C2×C4×D4—22no—
145C2×C4×D4C2×C411yescharacteristic
146C2×C4×D4C2×C411yescharacteristic
147C2×C4×D4C2×C412yes—
148C2×C4×D4C2×C414yes—
149C2×C4×D4C2×C411yescharacteristic, complemented
150C2×C4×D4D411yescharacteristic
151C2×C4×D4D414yes—
152C2×C4×D4D412yes—
153C2×C4×D4D411yescharacteristic
154C2×C4×D4D414yes—
155C2×C4×D4C2314yes—
156C2×#117—22no—
157C2×#117—21no—
158C2×#117—22no—
159C2×#117—21no—
160C2×#117C2×C412yescomplemented
161C22×C4⋊C4—22no—
162C22×C4⋊C4—21no—
163C22×C4⋊C4C2×C412yescomplemented
164C22×C4⋊C4D411yescharacteristic
165C22×C22⋊C4—24no—
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#432C2314yes—
175#431—22no—
176#431C2314yes—
177#423—22no—
178#407—24no—
179#407—24no—
180#407C2314yes—
181#407C2318yes—
182C2×C22⋊C8—24no—
183C2×C22⋊C8C2318yes—
184C4×M16—22no—
185C4×C4⋊C4—28no—
186C4×C4⋊C4—22no—
187C4×C4⋊C4C2314yes—
188C4×C22⋊C4—24no—
189C4×C22⋊C4—24no—
190C4×C22⋊C4—22no—
191C4×C22⋊C4—216no—
192C4×C22⋊C4C2314yes—
193C4×C22⋊C4C2318yes—
194#376C2314yes—
195C2×#95C2318yes—
196C43—22no—
197#328C23116yes—
198#328C23132yes—
199#327C23116yes—
200C25C2×D412yes—
201C2×#41—28no—
202C2×#41—24no—
203C2×#41—48no—
204C2×#41—84no—
205C2×#41C22×C418yes—
206C22×Q8—21no—
207C22×Q8—22no—
208C22×Q8—24no—
209C22×Q8—84no—
210C22×Q8C22×C411yescharacteristic
211C22×Q8C22×C412yes—
212C22×Q8C22×C418yes—
213C22×D4—28no—
214C22×D4—22no—
215C22×D4—21no—
216C22×D4—22no—
217C22×D4C22⋊C412yes—
218C22×D4C22⋊C411yescharacteristic
219C22×D4C22⋊C414yes—
220C22×D4C22⋊C411yescharacteristic
221C22×D4C22×C411yescharacteristic
222C22×D4C2×D414yes—
223C23×C4—22no—
224C23×C4—22no—
225C23×C4—28no—
226C23×C4—21no—
227C23×C4—22no—
228C23×C4—84no—
229C23×C4C22×C412yes—
230C23×C4C22×C412yes—
231C23×C4C22×C414yes—
232C23×C4C2×D411yescharacteristic
233C23×C4C2×D411yescharacteristic
234C23×C4C2×D414yes—
235C23×C4C2×D414yes—
236C23×C4C2×D412yes—
237C23×C4C2×D412yes—
238C23×C4C2×D412yes—
239C23×C4C2411yescharacteristic
240C23×C4C2414yes—
241C2×M16—24no—
242C2×M16—28no—
243C2×M16—88no—
244C22×C8—28no—
245C4⋊Q8—28no—
246C4⋊Q8—22no—
247C4⋊Q8—22no—
248C4⋊Q8C22×C414yes—
249C4⋊Q8C22×C414yes—
250#126—216no—
251#126—216no—
252#126—24no—
253#126—24no—
254#125—216no—
255#125—24no—
256#125—22no—
257#125—24no—
258#125C22×C414yes—
259#124—28no—
260#124—216no—
261#124—22no—
262#124C22×C414yes—
263#123—216no—
264#123—28no—
265#123—24no—
266#123—28no—
267#123—24no—
268#123—216no—
269#123—216no—
270C22⋊Q8—28no—
271C22⋊Q8—24no—
272C22⋊Q8—24no—
273C22⋊Q8—28no—
274C22⋊Q8—24no—
275C22⋊Q8—24no—
276C22⋊Q8—21no—
277C22⋊Q8—21no—
278C22⋊Q8—22no—
279C22⋊Q8—22no—
280C22⋊Q8—28no—
281C22⋊Q8—28no—
282C22⋊Q8—24no—
283C22⋊Q8—216no—
284C22⋊Q8—28no—
285C22⋊Q8—216no—
286C22⋊Q8C22×C412yes—
287C22⋊Q8C22×C414yes—
288C22⋊Q8C22×C418yes—
289C22⋊Q8C22×C418yes—
290C22⋊Q8C22×C418yes—
291C22⋊Q8C2412yes—
292C22⋊Q8C2414yes—
293#121—216no—
294#121—28no—
295#121—24no—
296#121—21no—
297#121—21no—
298#121C22×C418yes—
299#121C22×C412yes—
300#121C2412yes—
301#120—28no—
302#120—28no—
303C4×Q8—28no—
304C4×Q8—24no—
305C4×Q8—22no—
306C4×Q8—24no—
307C4×Q8—24no—
308C4×Q8C22×C414yes—
309C4×Q8C22×C418yes—
310C4×D4—264no—
311C4×D4—28no—
312C4×D4—28no—
313C4×D4—28no—
314C4×D4—24no—
315C4×D4—28no—
316C4×D4—28no—
317C4×D4—24no—
318C4×D4—216no—
319C4×D4—22no—
320C4×D4C22⋊C414yes—
321C4×D4C22⋊C418yes—
322C4×D4C22⋊C414yes—
323C4×D4C22⋊C414yes—
324C4×D4C22⋊C414yes—
325C4×D4C22⋊C418yes—
326C4×D4C22×C414yes—
327C4×D4C22×C414yes—
328C4×D4C22×C414yes—
329C4×D4C22×C418yes—
330C4×D4C2×D414yes—
331C4×D4C2×D418yes—
332C4×D4C2×D414yes—
333#117—216no—
334#117—24no—
335#117—24no—
336#117—24no—
337#117—216no—
338#117—24no—
339#117—24no—
340#117C22×C418yes—
341C2×C4⋊C4—22no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—22no—
344C2×C4⋊C4—28no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—24no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—22no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—28no—
357C2×C4⋊C4—24no—
358C2×C4⋊C4—28no—
359C2×C4⋊C4C22⋊C411yescharacteristic
360C2×C4⋊C4C22⋊C412yes—
361C2×C4⋊C4C22⋊C411yescharacteristic
362C2×C4⋊C4C22⋊C414yes—
363C2×C4⋊C4C22×C411yescharacteristic
364C2×C4⋊C4C22×C412yes—
365C2×C4⋊C4C22×C418yes—
366C2×C4⋊C4C22×C411yescharacteristic
367C2×C4⋊C4C2×D414yes—
368C2×C22⋊C4—232no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—28no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—24no—
375C2×C22⋊C4—21no—
376C2×C22⋊C4—22no—
377C2×C22⋊C4—28no—
378C2×C22⋊C4—28no—
379C2×C22⋊C4—21no—
380C2×C22⋊C4—21no—
381C2×C22⋊C4—22no—
382C2×C22⋊C4—21no—
383C2×C22⋊C4—21no—
384C2×C22⋊C4C22⋊C412yes—
385C2×C22⋊C4C22⋊C412yes—
386C2×C22⋊C4C22⋊C412yes—
387C2×C22⋊C4C22⋊C412yes—
388C2×C22⋊C4C22⋊C418yes—
389C2×C22⋊C4C2×D418yes—
390C2×C42—22no—
391C2×C42—22no—
392C2×C42—21no—
393C2×C42—24no—
394C2×C42—24no—
395C2×C42—24no—
396C2×C42—28no—
397C2×C42—88no—
398C2×C42C22×C411yescharacteristic
399C2×C42C22×C411yescharacteristic
400C2×C42C22×C412yes—
401C2×C42C2×D412yes—
402C2×C42C2×D411yescharacteristic
403C2×C42C2×D411yescharacteristic
404C2×C42C2×D412yes—
405C2×C42C2412yes—
406C4⋊C8—24no—
407C4⋊C8—24no—
408C22⋊C8—24no—
409C22⋊C8—28no—
410C22⋊C8—28no—
411C22⋊C8C2418yes—
412#97—24no—
413C4×C8—24no—
414#95—28no—
415#95—24no—
416#95C2418yes—
417C24—28no—
418C24—21no—
419C24—44no—
420C24—82no—
421C24C2×C22⋊C412yes—
422C24C2×C22⋊C414yes—
423C24C2×C22⋊C412yes—
424C24C22×D411yescharacteristic
425C24C22×D414yes—
426#41—432no—
427#41—88no—
428#41—88no—
429C2×Q8—24no—
430C2×Q8—21no—
431C2×Q8—22no—
432C2×Q8—28no—
433C2×Q8—42no—
434C2×Q8—44no—
435C2×Q8—44no—
436C2×Q8—88no—
437C2×Q8—84no—
438C2×Q8—88no—
439C2×Q8C23×C412yes—
440C2×Q8C23×C414yes—
441C2×D4—28no—
442C2×D4—216no—
443C2×D4—216no—
444C2×D4—22no—
445C2×D4—28no—
446C2×D4—22no—
447C2×D4—28no—
448C2×D4—21no—
449C2×D4—24no—
450C2×D4—42no—
451C2×D4—44no—
452C2×D4—48no—
453C2×D4—84no—
454C2×D4#10418yes—
455C2×D4C2×C22⋊C418yes—
456C2×D4C2×C22⋊C414yes—
457C2×D4C2×C22⋊C414yes—
458C2×D4C23×C412yes—
459C22×C4—24no—
460C22×C4—21no—
461C22×C4—22no—
462C22×C4—21no—
463C22×C4—22no—
464C22×C4—21no—
465C22×C4—28no—
466C22×C4—28no—
467C22×C4—232no—
468C22×C4—28no—
469C22×C4—24no—
470C22×C4—28no—
471C22×C4—48no—
472C22×C4—48no—
473C22×C4—42no—
474C22×C4—44no—
475C22×C4—44no—
476C22×C4—42no—
477C22×C4—48no—
478C22×C4—44no—
479C22×C4—84no—
480C22×C4—82no—
481C22×C4—82no—
482C22×C4—82no—
483C22×C4—84no—
484C22×C4—88no—
485C22×C4—88no—
486C22×C4—84no—
487C22×C4—84no—
488C22×C4C2×C22⋊C411yescharacteristic
489C22×C4C2×C22⋊C412yes—
490C22×C4C2×C22⋊C414yes—
491C22×C4C2×C22⋊C414yes—
492C22×C4C2×C22⋊C411yescharacteristic
493C22×C4C2×C22⋊C412yes—
494C22×C4C2×C22⋊C411yescharacteristic
495C22×C4C2×C22⋊C412yes—
496C22×C4C2×C22⋊C412yes—
497C22×C4C2×C22⋊C414yes—
498C22×C4C2×C22⋊C414yes—
499C22×C4C2×C22⋊C414yes—
500C22×C4C2×C22⋊C411yescharacteristic
501C22×C4C23×C411yescharacteristic
502C22×C4C23×C411yescharacteristic
503C22×C4C23×C414yes—
504C22×C4C23×C414yes—
505C22×C4C22×D412yes—
506C22×C4C22×D411yescharacteristic
507C22×C4C22×D412yes—
508C22×C4C22×D411yescharacteristic
509C22×C4C22×D414yes—
510C22×C4C22×D411yescharacteristic
511C22×C4C22×D414yes—
512C22×C4C22×D414yes—
513C22×C4C2511yescharacteristic
514M16—48no—
515M16—88no—
516C2×C8—28no—
517C2×C8—88no—
518C4⋊C4—216no—
519C4⋊C4—22no—
520C4⋊C4—28no—
521C4⋊C4—21no—
522C4⋊C4—24no—
523C4⋊C4—28no—
524C4⋊C4—24no—
525C4⋊C4—22no—
526C4⋊C4—28no—
527C4⋊C4—24no—
528C4⋊C4—24no—
529C4⋊C4—24no—
530C4⋊C4—28no—
531C4⋊C4—24no—
532C4⋊C4—28no—
533C4⋊C4—24no—
534C4⋊C4—21no—
535C4⋊C4—22no—
536C4⋊C4—24no—
537C4⋊C4C2×C22⋊C414yes—
538C4⋊C4C2×C22⋊C418yes—
539C4⋊C4C2×C22⋊C414yes—
540C4⋊C4C23×C412yes—
541C4⋊C4C23×C414yes—
542C4⋊C4C23×C412yes—
543C22⋊C4—216no—
544C22⋊C4—232no—
545C22⋊C4—22no—
546C22⋊C4—24no—
547C22⋊C4—28no—
548C22⋊C4—28no—
549C22⋊C4—28no—
550C22⋊C4—28no—
551C22⋊C4—22no—
552C22⋊C4—24no—
553C22⋊C4—22no—
554C22⋊C4—24no—
555C22⋊C4—24no—
556C22⋊C4—28no—
557C22⋊C4—24no—
558C22⋊C4—22no—
559C22⋊C4C2×C22⋊C418yes—
560C22⋊C4C2×C22⋊C418yes—
561C22⋊C4C2×C22⋊C418yes—
562C22⋊C4C2×C22⋊C418yes—
563C42—216no—
564C42—28no—
565C42—28no—
566C42—24no—
567C42—48no—
568C42—84no—
569C42—88no—
570C42C2×C22⋊C412yes—
571C42C2×C22⋊C412yes—
572C42C2×C22⋊C412yes—
573C42C2×C22⋊C412yes—
574C42C23×C412yes—
575C42C23×C412yes—
576C42C22×D412yes—
577C42C22×D412yes—
578C23—22no—
579C23—28no—
580C23—22no—
581C23—28no—
582C23—28no—
583C23—24no—
584C23—22no—
585C23—42no—
586C23—44no—
587C23—41no—
588C23—42no—
589C23—42no—
590C23—44no—
591C23—42no—
592C23—44no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—816no—
597C23C2×#10418yes—
598C23C22×C22⋊C414yes—
599C23C22×C22⋊C411yescharacteristic
600C23C22×C22⋊C414yes—
601C23C22×C22⋊C411yescharacteristic
602C23C23×D411yescharacteristic
603Q8—42no—
604Q8—44no—
605Q8—42no—
606Q8—44no—
607Q8—48no—
608Q8—88no—
609D4—216no—
610D4—28no—
611D4—42no—
612D4—44no—
613D4—44no—
614D4—416no—
615D4—42no—
616D4—88no—
617D4C2×#104116yes—
618C2×C4—24no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—28no—
624C2×C4—28no—
625C2×C4—24no—
626C2×C4—24no—
627C2×C4—216no—
628C2×C4—22no—
629C2×C4—24no—
630C2×C4—22no—
631C2×C4—24no—
632C2×C4—22no—
633C2×C4—44no—
634C2×C4—44no—
635C2×C4—44no—
636C2×C4—42no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—44no—
641C2×C4—44no—
642C2×C4—44no—
643C2×C4—42no—
644C2×C4—44no—
645C2×C4—44no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—42no—
649C2×C4—48no—
650C2×C4—44no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—48no—
654C2×C4—42no—
655C2×C4—44no—
656C2×C4—416no—
657C2×C4—48no—
658C2×C4—88no—
659C2×C4—88no—
660C2×C4—832no—
661C2×C4C2×#10414yes—
662C2×C4C22×C22⋊C412yes—
663C2×C4C22×C22⋊C414yes—
664C2×C4C22×C22⋊C411yescharacteristic
665C2×C4C22×C22⋊C412yes—
666C2×C4C22×C22⋊C412yes—
667C2×C4C22×C22⋊C414yes—
668C2×C4C22×C22⋊C411yescharacteristic
669C2×C4C22×C22⋊C412yes—
670C2×C4C24×C411yescharacteristic
671C2×C4C23×D411yescharacteristic
672C8—48no—
673C22—21no—
674C22—21no—
675C22—24no—
676C22—21no—
677C22—24no—
678C22—21no—
679C22—21no—
680C22—24no—
681C22—21no—
682C22—24no—
683C22—21no—
684C22—24no—
685C22—48no—
686C22—416no—
687C22—44no—
688C22—42no—
689C22—42no—
690C22—42no—
691C22—84no—
692C22—88no—
693C22—84no—
694C22C22×#10412yes—
695C22C22×#10418yes—
696C22C23×C22⋊C411yescharacteristic
697C22#358612yes—
698C4—21no—
699C4—21no—
700C4—21no—
701C4—24no—
702C4—24no—
703C4—22no—
704C4—22no—
705C4—22no—
706C4—416no—
707C4—44no—
708C4—42no—
709C4—42no—
710C4—42no—
711C4—44no—
712C4#288312yes—
713C4C22×#10414yes—
714C2—22no—
715C2—22no—
716C2—28no—
717C2—44no—
718C2—41no—
719C2—82no—
720C2C2×#288311yescharacteristic
721C2#6008811yescharacteristic
722C2C23×#10411yescharacteristic
subgroupG/H
center, socleC22C23×C22⋊C4
commutatorC2×C4C24×C4
Frattini, cosocleC22×C4C25
prime radicalC2×#3520C2
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. #17548C2semidirect
5. #17545C2semidirect
6. #17542C2semidirect
7. #17537C2semidirect
8. C2×#1508C2semidirect
11. #3520C4semidirect
13. C2×#556C4semidirect
15. C2×#552C4semidirect
17. C2×D4×Q8C4semidirect
18. C2×#548C4semidirect
19. C2×#547C4semidirect
20. C2×#547C4semidirect
32. #2974C22semidirect
38. #2275C22semidirect
44. #1509C22semidirect
47. #1508C22semidirect
49. #1506C22semidirect
50. #1504C22semidirect
51. #1503C22semidirect
52. #1501C22semidirect
53. #1500C22semidirect
54. C2×#328C22semidirect
56. C22×#41C2×C4semidirect
57. C23×Q8C2×C4semidirect
62. #556C2×C4semidirect
66. #552C2×C4semidirect
70. D4×Q8C2×C4semidirect
72. #548C2×C4semidirect
75. #547C2×C4semidirect
76. #547C2×C4semidirect
85. #533C2×C4semidirect
88. C2×C4⋊Q8C2×C4semidirect
89. C2×C4⋊Q8C2×C4semidirect
92. #529C2×C4semidirect
99. C2×#125C2×C4semidirect
102. C2×#124C2×C4semidirect
105. #525C2×C4semidirect
120. C2×C22⋊Q8C2×C4semidirect
121. C2×C22⋊Q8C2×C4semidirect
122. C2×C22⋊Q8C2×C4semidirect
123. C2×C22⋊Q8C2×C4semidirect
129. C2×#121C2×C4semidirect
137. C2×C4×Q8C2×C4semidirect
138. C2×C4×Q8C2×C4semidirect
149. C2×C4×D4C2×C4semidirect
160. C2×#117C2×C4semidirect
163. C22×C4⋊C4C2×C4semidirect

Maximal subgroups

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

subgroupindex
C2×#35202
#602302
C4×#5182
#175482
#175452
#175422
#175372
C2×#15082