Finite Group Databasebeta

← C2×#11755225 #14482929

Subgroups — C2×#11755225 #14482929

Order 1920.

3136 conjugacy classes of subgroups.

The subgroup lattice has 640 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×Q8×D5C211yesmaximal, characteristic, complemented
2C22×D3×Dic10C211yesmaximal, characteristic, complemented
3C2×#91833C211yesmaximal, characteristic, complemented
4C2×C5×#946C211yesmaximal, characteristic, complemented
5#11755225C2116yesmaximal, direct product factor
6C2×#91440C212yesmaximal
7C2×C4×#1201C211yesmaximal, characteristic
8C2×#91410C212yesmaximal, complemented
9C2×#91360C211yesmaximal, characteristic, complemented
10C2×#91349C212yesmaximal, complemented
11C2×#91331C211yesmaximal, characteristic, complemented
12C2×#91327C212yesmaximal, complemented
13C2×#65966—31nomaximal, Hall
14C22×C3×C5×Q8C2211yescharacteristic
15C22×Dic30C2211yescharacteristic
16C22×C4×C5×D3C2211yescharacteristic
17C2×C3×Q8×D5—28no—
18C2×C3×Q8×D5C2218yescomplemented
19C22×C3×C4×D5C2211yescharacteristic
20C22×C3×C4×D5C2212yes—
21C22×C3×Dic10C2212yes—
22C22×C3×Dic10C2211yescharacteristic
23C22×#1204C2212yes—
24C22×#1201C2211yescharacteristic
25C22×D3×Dic5C2212yes—
26C2×D3×Dic10—28no—
27C2×D3×Dic10C2218yescomplemented
28#91833C2218yescomplemented
29C2×#6712C2212yes—
30C2×#6712C2212yes—
31C2×C4×Dic15C2211yescharacteristic
32C5×#946C2218yescomplemented
33C2×C5×(C2×D3)⋊C4C2212yes—
34C2×C5×C4⋊Dic3C2211yescharacteristic
35C2×C5×Dic3⋊C4C2212yes—
36C2×Dic3⋊Dic5C2212yes—
37C2×#6669C2211yescharacteristic
38C2×#6668C2212yes—
39C2×(C2×D3)⋊Dic5C2211yescharacteristic
40C2×#6665C2212yes—
41C2×#6665C2211yescharacteristic
42C2×Dic3×Dic5C2212yes—
43#91440C22116yes—
44C4×#1201C2218yes—
45#91410C22116yescomplemented
46#91360C2218yescomplemented
47#91349C22116yescomplemented
48#91331C2218yescomplemented
49#91327C22116yescomplemented
50C2×Q8×#67—51nomaximal, Hall
51C22×Q8×D5D311yescharacteristic, complemented
52C23×Dic10—31no—
53C2×C5×C22⋊Q8—31no—
54C2×#4090—31no—
55C2×C4×C22⋊D5—31no—
56#65966—316no—
57C2×#4043—31no—
58C2×#4042—32no—
59C2×#4034—32no—
60C2×#4033—31no—
61C2×#4027—32no—
62C2×#4024—32no—
63C23×C5×D3C2311yescharacteristic
64C23×C3×D5C2311yescharacteristic
65C2×C3×C5×Q8—24no—
66C2×C3×C5×Q8C2314yes—
67C22×C3×C4×C5C2312yes—
68C22×C3×C4×C5C2311yescharacteristic
69C22×Dic15C2312yes—
70C22×Dic15C2311yescharacteristic
71C22×Dic15C2311yescharacteristic
72C2×Dic30—24no—
73C2×Dic30C2314yes—
74C22×C5×Dic3C2311yescharacteristic
75C22×C5×Dic3C2312yes—
76C2×C4×C5×D3—24no—
77C2×C4×C5×D3C2314yes—
78C22×C3×Dic5C2311yescharacteristic
79C22×C3×Dic5C2312yes—
80C3×Q8×D5—232no—
81C2×C3×C4×D5—24no—
82C2×C3×C4×D5—28no—
83C2×C3×C4×D5C2314yes—
84C2×C3×C4×D5C2318yes—
85C2×C3×Dic10—28no—
86C2×C3×Dic10D418yescomplemented
87C2×C3×Dic10C2318yes—
88C2×C3×Dic10C2314yes—
89C2×#1204—28no—
90C2×#1204C2318yes—
91C2×#1201Q818yescomplemented
92C2×#1201C2314yes—
93C2×D3×Dic5—28no—
94C2×D3×Dic5C2318yes—
95D3×Dic10—232no—
96#6712C2318yes—
97#6712C2318yes—
98C4×Dic15C2314yes—
99C5×(C2×D3)⋊C4C2318yes—
100C5×C4⋊Dic3C2314yes—
101C5×Dic3⋊C4C2318yes—
102Dic3⋊Dic5C2318yes—
103#6669C2314yes—
104#6668C2318yes—
105(C2×D3)⋊Dic5C2314yes—
106#6665C2314yes—
107#6665C2318yes—
108Dic3×Dic5C2318yes—
109C23×C3×Q8—51no—
110C22×D3×Q8—51no—
111Q8×#67—516no—
112C2×#946—52no—
113C2×#946D511yescharacteristic, complemented
114C2×Q8×Dic3—51no—
115C2×#944—51no—
116C2×#944—52no—
117C2×C4×#67—51no—
118C2×C4×#67—52no—
119C2×#924—51no—
120C2×#924—52no—
121C22×C5×Q8C2×D311yescharacteristic
122C23×C4×C5—31no—
123C22×C22⋊D5—31no—
124C23×Dic5—32no—
125C2×Q8×D5—28no—
126C2×Q8×D5C2×D318yescomplemented
127C22×C4×D5C2×D312yes—
128C22×C4×D5C2×D311yescharacteristic
129C22×Dic10—31no—
130C22×Dic10—32no—
131C22×Dic10—38no—
132C22×Dic10—68no—
133C22×Dic10C2×D312yes—
134C22×Dic10C2×D311yescharacteristic
135C5×C22⋊Q8—38no—
136C2×C5×C4⋊C4—31no—
137C2×C5×C4⋊C4—32no—
138C2×C5×C22⋊C4—32no—
139C2×C22⋊Dic5—31no—
140#4090—38no—
141C4×C22⋊D5—38no—
142C2×#685—32no—
143C2×#685—31no—
144C2×C4⋊Dic5—32no—
145C2×#683—32no—
146C2×#683—32no—
147C2×#683—32no—
148C2×#683—31no—
149C2×C4×Dic5—31no—
150C2×C4×Dic5—32no—
151#4043—38no—
152#4042—316no—
153#4034—316no—
154#4033—38no—
155#4027—316no—
156#4024—316no—
157C2×D4×Q8—151noSylow
158C23×C3×C5C2411yescharacteristic
159C22×C5×D3—22no—
160C22×C5×D3—22no—
161C22×C5×D3C2×Q814yescomplemented
162C22×C5×D3C2412yes—
163C22×C3×D5—22no—
164C22×C3×D5—22no—
165C22×C3×D5C2×Q814yescomplemented
166C22×C3×D5C2412yes—
167C3×C5×Q8—28no—
168C2×C3×C4×C5—24no—
169C2×C3×C4×C5C2×D414yes—
170C2×C3×C4×C5C2414yes—
171C2×C3×C4×C5C2412yes—
172C2×Dic15—24no—
173C2×Dic15—22no—
174C2×Dic15C2×Q814yescomplemented
175C2×Dic15C2412yes—
176C2×Dic15C2414yes—
177C2×Dic15C2412yes—
178Dic30—28no—
179C2×C5×Dic3—22no—
180C2×C5×Dic3—24no—
181C2×C5×Dic3C2414yes—
182C2×C5×Dic3C2412yes—
183C4×C5×D3—28no—
184C2×C3×Dic5—22no—
185C2×C3×Dic5C2×D418yes—
186C2×C3×Dic5C2412yes—
187C2×C3×Dic5C2414yes—
188C3×C4×D5—28no—
189C3×C4×D5—216no—
190C3×Dic10—216no—
191C3×Dic10C2×D4116yescomplemented
192#1204—216no—
193#1201C2×Q8116yescomplemented
194D3×Dic5—216no—
195C22×C3×Q8—58no—
196C22×C3×Q8—51no—
197C22×C3×Q8—52no—
198C22×C3×Q8—108no—
199C22×C3×Q8C2×D511yescharacteristic
200C23×C3×C4—52no—
201C23×C3×C4—51no—
202C22×#67—51no—
203C2×D3×Q8—58no—
204C2×D3×Q8—108no—
205C22×C4×D3—52no—
206C22×C4×D3C2×D511yescharacteristic
207C22×Dic6—51no—
208C22×Dic6—52no—
209C2×#217—51no—
210C2×#217—52no—
211#946—516no—
212#946C2×D518yescomplemented
213Q8×Dic3—58no—
214#944—58no—
215#944—516no—
216C4×#67—58no—
217C4×#67—516no—
218C2×(C2×D3)⋊C4—51no—
219C2×(C2×D3)⋊C4C2×D512yes—
220C2×C4⋊Dic3—52no—
221C2×C4⋊Dic3C2×D511yescharacteristic
222#924—58no—
223#924—516no—
224C2×Dic3⋊C4—52no—
225C2×Dic3⋊C4—52no—
226C2×Dic3⋊C4—52no—
227C2×Dic3⋊C4—51no—
228C2×Dic3⋊C4C2×D512yes—
229C2×C4×Dic3—51no—
230C2×C4×Dic3—52no—
231C24×C5—31no—
232C23×D5C22×D311yescharacteristic
233C2×C5×Q8—24no—
234C2×C5×Q8C22×D314yes—
235C22×C4×C5—32no—
236C22×C4×C5—31no—
237C22×C4×C5—34no—
238C22×C4×C5—64no—
239C22×C4×C5C22×D312yes—
240C22×C4×C5C22×D311yescharacteristic
241C2×C22⋊D5—38no—
242C2×C22⋊D5—34no—
243C22×Dic5—31no—
244C22×Dic5—31no—
245C22×Dic5—32no—
246C22×Dic5—38no—
247C22×Dic5—68no—
248C22×Dic5C22×D311yescharacteristic
249C22×Dic5C22×D312yes—
250Q8×D5—232no—
251C2×C4×D5—24no—
252C2×C4×D5—28no—
253C2×C4×D5C22×D318yes—
254C2×C4×D5C22×D314yes—
255C2×Dic10—28no—
256C2×Dic10—34no—
257C2×Dic10—38no—
258C2×Dic10—64no—
259C2×Dic10—68no—
260C2×Dic10—632no—
261C2×Dic10#6718yescomplemented
262C2×Dic10C22×D318yes—
263C2×Dic10C22×D314yes—
264C5×C4⋊C4—38no—
265C5×C4⋊C4—34no—
266C5×C22⋊C4—38no—
267C22⋊Dic5—34no—
268#685—38no—
269#685—34no—
270C4⋊Dic5—38no—
271#683—38no—
272#683—38no—
273#683—38no—
274#683—34no—
275C4×Dic5—34no—
276C4×Dic5—38no—
277C23×Q8—51no—
278C23×Q8—151no—
279D4×Q8—1516no—
280C2×C4⋊Q8—152no—
281C2×C4⋊Q8—151no—
282C2×C22⋊Q8—31no—
283C2×C22⋊Q8—152no—
284C2×C22⋊Q8—152no—
285C2×C22⋊Q8—151no—
286C2×C4×Q8—151no—
287C2×C4×D4—152no—
288C2×C4×D4—151no—
289C22×C3×C5C22×D412yes—
290C22×C3×C5C22×Q812yes—
291C22×C3×C52−1+412yes—
292C22×C3×C5C2511yescharacteristic
293C2×C5×D3—28no—
294C2×C5×D3—22no—
295C2×C5×D3—22no—
296C2×C5×D3C22×Q814yescomplemented
297C2×C3×D5—28no—
298C2×C3×D5—22no—
299C2×C3×D5—22no—
300C2×C3×D5C22×Q814yescomplemented
301C3×C4×C5—24no—
302C3×C4×C5C22×D414yes—
303Dic15—24no—
304Dic15—22no—
305Dic15C22×Q814yescomplemented
306C3×Dic5—22no—
307C3×Dic5C22×D418yes—
308C5×Dic3—22no—
309C5×Dic3—24no—
310C24×C3—51no—
311C23×D3C22×D511yescharacteristic
312C2×C3×Q8—24no—
313C2×C3×Q8—58no—
314C2×C3×Q8—54no—
315C2×C3×Q8—58no—
316C2×C3×Q8—108no—
317C2×C3×Q8—1032no—
318C2×C3×Q8C22×D514yes—
319C22×C3×C4—52no—
320C22×C3×C4—51no—
321C22×C3×C4—58no—
322C22×C3×C4—54no—
323C22×C3×C4—108no—
324C22×C3×C4—104no—
325C22×C3×C4C22×D512yes—
326C22×C3×C4C22×D511yescharacteristic
327C2×#67—58no—
328C2×#67—54no—
329C22×Dic3—51no—
330C22×Dic3—51no—
331C22×Dic3—52no—
332C22×Dic3C22×D512yes—
333C22×Dic3C22×D511yescharacteristic
334D3×Q8—1032no—
335C2×C4×D3—24no—
336C2×C4×D3—58no—
337C2×C4×D3—108no—
338C2×C4×D3C22×D514yes—
339C2×Dic6—54no—
340C2×Dic6—58no—
341C2×Dic6—108no—
342C2×Dic6—104no—
343#217—54no—
344#217—58no—
345(C2×D3)⋊C4—54no—
346(C2×D3)⋊C4C22×D518yes—
347C4⋊Dic3—58no—
348C4⋊Dic3C22×D514yes—
349Dic3⋊C4—58no—
350Dic3⋊C4—58no—
351Dic3⋊C4—54no—
352Dic3⋊C4—58no—
353Dic3⋊C4C22×D518yes—
354C4×Dic3—54no—
355C4×Dic3—58no—
356C23×C5—34no—
357C23×C5—32no—
358C23×C5—62no—
359C23×C5—62no—
360C23×C5C23×D311yescharacteristic
361C22×D5—22no—
362C22×D5—22no—
363C22×D5D3×Q814yescomplemented
364C22×D5C23×D312yes—
365C5×Q8—28no—
366C2×C4×C5—24no—
367C2×C4×C5—34no—
368C2×C4×C5—32no—
369C2×C4×C5—64no—
370C2×C4×C5—62no—
371C2×C4×C5—68no—
372C2×C4×C5C2×#6714yes—
373C2×C4×C5C23×D314yes—
374C2×C4×C5C23×D312yes—
375C22⋊D5—316no—
376C2×Dic5—22no—
377C2×Dic5—34no—
378C2×Dic5—32no—
379C2×Dic5—32no—
380C2×Dic5—34no—
381C2×Dic5—62no—
382C2×Dic5—64no—
383C2×Dic5—616no—
384C2×Dic5C2×#6718yes—
385C2×Dic5C23×D312yes—
386C2×Dic5C23×D314yes—
387C4×D5—28no—
388C4×D5—216no—
389Dic10—216no—
390Dic10—68no—
391Dic10—616no—
392Dic10C2×#67116yescomplemented
393C22×Q8—58no—
394C22×Q8—51no—
395C22×Q8—52no—
396C22×Q8—108no—
397C22×Q8—152no—
398C22×Q8—158no—
399C22×Q8—151no—
400C22×Q8—308no—
401C22×Q8D3×D511yescharacteristic
402C22×D4—151no—
403C23×C4—31no—
404C23×C4—52no—
405C23×C4—51no—
406C23×C4—152no—
407C4⋊Q8—1516no—
408C4⋊Q8—158no—
409C22⋊Q8—38no—
410C22⋊Q8—1516no—
411C22⋊Q8—1516no—
412C22⋊Q8—158no—
413C4×Q8—158no—
414C4×D4—1516no—
415C4×D4—158no—
416C2×C4⋊C4—31no—
417C2×C4⋊C4—32no—
418C2×C4⋊C4—151no—
419C2×C4⋊C4—152no—
420C2×C4⋊C4—152no—
421C2×C4⋊C4—152no—
422C2×C4⋊C4—152no—
423C2×C22⋊C4—32no—
424C2×C22⋊C4—152no—
425C2×C22⋊C4—151no—
426C2×C22⋊C4—151no—
427C2×C42—152no—
428C2×C42—151no—
429C2×C3×C5D4×Q814yescomplemented
430C2×C3×C5C23×D411yescharacteristic
431C2×C3×C5C23×Q811yescharacteristic
432C2×C3×C5C2×2−1+411yescharacteristic
433C3×D5—24no—
434C5×D3—24no—
435C23×C3—54no—
436C23×C3—52no—
437C23×C3—102no—
438C23×C3—102no—
439C23×C3C23×D511yescharacteristic
440C22×D3—22no—
441C22×D3—22no—
442C22×D3Q8×D514yescomplemented
443C22×D3C23×D512yes—
444C3×Q8—28no—
445C3×Q8—516no—
446C3×Q8—1016no—
447C2×C3×C4—24no—
448C2×C3×C4—58no—
449C2×C3×C4—54no—
450C2×C3×C4—52no—
451C2×C3×C4—1016no—
452C2×C3×C4—102no—
453C2×C3×C4—108no—
454C2×C3×C4D4×D514yes—
455C2×C3×C4C23×D514yes—
456C2×C3×C4C23×D512yes—
457#67—516no—
458C2×Dic3—22no—
459C2×Dic3—24no—
460C2×Dic3—54no—
461C2×Dic3—52no—
462C2×Dic3—52no—
463C2×Dic3—54no—
464C2×Dic3—104no—
465C2×Dic3—102no—
466C2×Dic3C23×D514yes—
467C2×Dic3C23×D512yes—
468C4×D3—28no—
469C4×D3—1016no—
470Dic6—1016no—
471Dic6—108no—
472C22×C5—34no—
473C22×C5—62no—
474C22×C5—62no—
475C22×C5—68no—
476C22×C5C2×D3×Q812yes—
477C22×C5#100712yes—
478C22×C5C22×#6712yes—
479C22×C5C24×D311yescharacteristic
480C2×D5—22no—
481C2×D5—22no—
482C2×D5—28no—
483C2×D5C2×D3×Q814yescomplemented
484C4×C5—24no—
485C4×C5—64no—
486C4×C5—62no—
487C4×C5C22×#6714yes—
488Dic5—22no—
489Dic5—34no—
490Dic5—62no—
491Dic5—64no—
492Dic5C22×#6718yes—
493C24—31no—
494C24—51no—
495C2×Q8—24no—
496C2×Q8—58no—
497C2×Q8—54no—
498C2×Q8—58no—
499C2×Q8—108no—
500C2×Q8—1032no—
501C2×Q8—158no—
502C2×Q8—154no—
503C2×Q8—308no—
504C2×Q8—3032no—
505C2×Q8—304no—
506C2×Q8C2×D3×D514yes—
507C2×D4—154no—
508C2×D4—158no—
509C22×C4—32no—
510C22×C4—31no—
511C22×C4—34no—
512C22×C4—52no—
513C22×C4—51no—
514C22×C4—58no—
515C22×C4—54no—
516C22×C4—64no—
517C22×C4—108no—
518C22×C4—104no—
519C22×C4—158no—
520C22×C4—151no—
521C22×C4—151no—
522C22×C4—152no—
523C22×C4—308no—
524C22×C4C2×D3×D512yes—
525C22×C4C2×D3×D511yescharacteristic
526C4⋊C4—34no—
527C4⋊C4—38no—
528C4⋊C4—154no—
529C4⋊C4—158no—
530C4⋊C4—158no—
531C4⋊C4—158no—
532C4⋊C4—158no—
533C22⋊C4—38no—
534C22⋊C4—158no—
535C22⋊C4—154no—
536C22⋊C4—154no—
537C42—158no—
538C42—154no—
539C3×C5C2×D4×Q811yescharacteristic, complemented, Hall
540C22×C3—54no—
541C22×C3—108no—
542C22×C3—102no—
543C22×C3—102no—
544C22×C3C2×D4×D512yes—
545C22×C3C2×Q8×D512yes—
546C22×C3#415012yes—
547C22×C3C24×D511yescharacteristic
548C2×D3—28no—
549C2×D3—22no—
550C2×D3—22no—
551C2×D3C2×Q8×D514yescomplemented
552C3×C4—24no—
553C3×C4—58no—
554C3×C4—102no—
555C3×C4C2×D4×D514yes—
556Dic3—22no—
557Dic3—24no—
558Dic3—54no—
559Dic3—104no—
560Dic3—102no—
561C2×C5—64no—
562C2×C5Q8×#6714yescomplemented
563C2×C5C22×D3×Q811yescharacteristic
564C2×C5C2×#100711yescharacteristic
565C2×C5C23×#6711yescharacteristic
566D5—24no—
567C23—34no—
568C23—32no—
569C23—54no—
570C23—52no—
571C23—62no—
572C23—62no—
573C23—102no—
574C23—102no—
575C23C22×D3×D511yescharacteristic
576Q8—28no—
577Q8—516no—
578Q8—1016no—
579Q8—3016no—
580Q8—308no—
581D4—1516no—
582C2×C4—24no—
583C2×C4—34no—
584C2×C4—32no—
585C2×C4—58no—
586C2×C4—54no—
587C2×C4—52no—
588C2×C4—64no—
589C2×C4—62no—
590C2×C4—68no—
591C2×C4—1016no—
592C2×C4—102no—
593C2×C4—108no—
594C2×C4—154no—
595C2×C4—152no—
596C2×C4—152no—
597C2×C4—154no—
598C2×C4—3016no—
599C2×C4—302no—
600C2×C4—304no—
601C2×C4D5×#6714yes—
602C2×C4C22×D3×D514yes—
603C2×C4C22×D3×D512yes—
604C2×C3—104no—
605C2×C3#6596614yescomplemented
606C2×C3C22×D4×D511yescharacteristic
607C2×C3C22×Q8×D511yescharacteristic
608C2×C3C2×#415011yescharacteristic
609D3—24no—
610C5C2×Q8×#6711yescharacteristic, complemented, Sylow
611C22—34no—
612C22—54no—
613C22—62no—
614C22—68no—
615C22—62no—
616C22—102no—
617C22—108no—
618C22—102no—
619C22#9203012yes—
620C22D3×Q8×D512yes—
621C22C2×D5×#6712yes—
622C22C23×D3×D511yescharacteristic
623C4—24no—
624C4—58no—
625C4—62no—
626C4—64no—
627C4—102no—
628C4—154no—
629C4—304no—
630C4—302no—
631C4C2×D5×#6714yes—
632C3C2×#6596611yescharacteristic, complemented, Sylow
633C2—64no—
634C2—104no—
635C2#1175522514yesdirect product factor
636C2C2×#9203011yescharacteristic
637C2C2×D3×Q8×D511yescharacteristic
638C2C22×D5×#6711yescharacteristic
subgroupG/H
centerC23C22×D3×D5
commutator, cosocleC22×C3×C5C25
FrattiniC22C23×D3×D5
FittingC22×C3×C5×Q8C22
socleC23×C3×C5C24
prime radicalC22×#1201C22
hypercenterC22×Q8D3×D5
hypocenterC3×C5C2×D4×Q8
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C22×Q8

Complements

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

NH ≅ G/Ntype
1. C22×C3×Q8×D5C2semidirect
2. C22×D3×Dic10C2semidirect
3. C2×#91833C2semidirect
4. C2×C5×#946C2semidirect
5. #11755225C2direct (N × H)
8. C2×#91410C2semidirect
9. C2×#91360C2semidirect
10. C2×#91349C2semidirect
11. C2×#91331C2semidirect
12. C2×#91327C2semidirect
18. C2×C3×Q8×D5C22semidirect
27. C2×D3×Dic10C22semidirect
28. #91833C22semidirect
32. C5×#946C22semidirect
45. #91410C22semidirect
46. #91360C22semidirect
47. #91349C22semidirect
48. #91331C22semidirect
49. #91327C22semidirect
51. C22×Q8×D5D3semidirect
86. C2×C3×Dic10D4semidirect
91. C2×#1201Q8semidirect
113. C2×#946D5semidirect
126. C2×Q8×D5C2×D3semidirect
161. C22×C5×D3C2×Q8semidirect
165. C22×C3×D5C2×Q8semidirect
174. C2×Dic15C2×Q8semidirect
191. C3×Dic10C2×D4semidirect
193. #1201C2×Q8semidirect
212. #946C2×D5semidirect
261. C2×Dic10#67semidirect
296. C2×C5×D3C22×Q8semidirect
300. C2×C3×D5C22×Q8semidirect
305. Dic15C22×Q8semidirect
363. C22×D5D3×Q8semidirect
392. Dic10C2×#67semidirect
429. C2×C3×C5D4×Q8semidirect
442. C22×D3Q8×D5semidirect
483. C2×D5C2×D3×Q8semidirect
539. C3×C5C2×D4×Q8semidirect
551. C2×D3C2×Q8×D5semidirect
562. C2×C5Q8×#67semidirect
605. C2×C3#65966semidirect
610. C5C2×Q8×#67semidirect
632. C3C2×#65966semidirect
635. C2#11755225direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×Q8×D52
C22×D3×Dic102
C2×#918332
C2×C5×#9462
#117552252
C2×#914402
C2×C4×#12012
C2×#914102
C2×#913602
C2×#913492
C2×#913312
C2×#913272
C2×#659663
C2×Q8×#675