Finite Group Databasebeta

← C2×#11756391 #14482901

Subgroups — C2×#11756391 #14482901

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×Q8×D15C211yesmaximal, characteristic, complemented
2C23×Dic30C211yesmaximal, characteristic, complemented
3C2×C3×C5×C22⋊Q8C211yesmaximal, characteristic, complemented
4C2×#91833C211yesmaximal, characteristic, complemented
5C2×C4×#1220C211yesmaximal, characteristic
6#11756391C2116yesmaximal, direct product factor
7C2×#91786C211yesmaximal, characteristic, complemented
8C2×#91785C212yesmaximal, complemented
9C2×#91777C212yesmaximal, complemented
10C2×#91776C211yesmaximal, characteristic, complemented
11C2×#91770C212yesmaximal
12C2×#91767C212yesmaximal, complemented
13C2×#65966—31nomaximal, Hall
14C22×C3×C5×Q8C2211yescharacteristic
15C23×C3×C4×C5C2211yescharacteristic
16C22×#1220C2211yescharacteristic
17C23×Dic15C2212yes—
18C2×Q8×D15—28no—
19C2×Q8×D15C2218yescomplemented
20C22×C4×D15C2211yescharacteristic
21C22×C4×D15C2212yes—
22C22×Dic30—28no—
23C22×Dic30C2211yescharacteristic
24C22×Dic30C2212yes—
25C22×Dic30C2212yes—
26C22×Dic30C2211yescharacteristic
27C22×Dic30C2218yescomplemented
28C3×C5×C22⋊Q8C2218yescomplemented
29C2×C3×C5×C4⋊C4C2211yescharacteristic
30C2×C3×C5×C4⋊C4C2212yes—
31C2×C3×C5×C22⋊C4C2212yes—
32C2×#6719C2211yescharacteristic
33#91833C2218yescomplemented
34C4×#1220C2218yes—
35C2×#6714C2211yescharacteristic
36C2×#6714C2212yes—
37C2×C4⋊Dic15C2212yes—
38C2×#6712C2211yescharacteristic
39C2×#6712C2212yes—
40C2×#6712C2212yes—
41C2×#6712C2212yes—
42C2×C4×Dic15C2211yescharacteristic
43C2×C4×Dic15C2212yes—
44#91786C2218yescomplemented
45#91785C22116yescomplemented
46#91777C22116yescomplemented
47#91776C2218yescomplemented
48#91770C22116yes—
49#91767C22116yescomplemented
50C2×#5632—51nomaximal, Hall
51C22×Q8×D5—31no—
52C23×Dic10—31no—
53C2×C5×C22⋊Q8D311yescharacteristic, complemented
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—
63C24×C3×C5C2311yescharacteristic
64C23×D15C2311yescharacteristic
65C2×C3×C5×Q8—24no—
66C2×C3×C5×Q8C2314yes—
67C22×C3×C4×C5—24no—
68C22×C3×C4×C5C2312yes—
69C22×C3×C4×C5C2312yes—
70C22×C3×C4×C5C2311yescharacteristic
71C22×C3×C4×C5C2314yes—
72C22×C3×C4×C5C2311yescharacteristic
73C2×#1220Q818yescomplemented
74C2×#1220C2314yes—
75C22×Dic15—28no—
76C22×Dic15C2318yes—
77C22×Dic15C2311yescharacteristic
78C22×Dic15C2312yes—
79C22×Dic15C2311yescharacteristic
80C22×Dic15C2312yes—
81C22×Dic15C2311yescharacteristic
82Q8×D15—232no—
83C2×C4×D15—24no—
84C2×C4×D15—28no—
85C2×C4×D15C2318yes—
86C2×C4×D15C2314yes—
87C2×Dic30—24no—
88C2×Dic30—28no—
89C2×Dic30—28no—
90C2×Dic30—232no—
91C2×Dic30D418yescomplemented
92C2×Dic30C2318yes—
93C2×Dic30C2318yes—
94C2×Dic30C2314yes—
95C2×Dic30C2314yes—
96C3×C5×C4⋊C4C2314yes—
97C3×C5×C4⋊C4C2318yes—
98C3×C5×C22⋊C4C2318yes—
99#6719C2314yes—
100#6714C2318yes—
101#6714C2314yes—
102C4⋊Dic15C2318yes—
103#6712C2318yes—
104#6712C2318yes—
105#6712C2318yes—
106#6712C2314yes—
107C4×Dic15C2318yes—
108C4×Dic15C2314yes—
109C22×D3×Q8—51no—
110C23×Dic6—51no—
111C2×C3×C22⋊Q8D511yescharacteristic, complemented
112C2×#944—51no—
113C2×C4×#67—51no—
114#5632—516no—
115C2×#897—51no—
116C2×#896—52no—
117C2×#888—52no—
118C2×#887—51no—
119C2×#67⋊C4—52no—
120C2×#878—52no—
121C22×C5×Q8C2×D311yescharacteristic
122C23×C4×C5C2×D311yescharacteristic
123C22×C22⋊D5—31no—
124C23×Dic5—32no—
125C2×Q8×D5—38no—
126C2×Q8×D5—68no—
127C22×C4×D5—32no—
128C22×C4×D5—31no—
129C22×Dic10—31no—
130C22×Dic10—32no—
131C22×Dic10—32no—
132C22×Dic10—31no—
133C22×Dic10—38no—
134C22×Dic10—68no—
135C5×C22⋊Q8C2×D318yescomplemented
136C2×C5×C4⋊C4C2×D311yescharacteristic
137C2×C5×C4⋊C4C2×D312yes—
138C2×C5×C22⋊C4C2×D312yes—
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—32no—
150C2×C4×Dic5—31no—
151#4043—38no—
152#4042—316no—
153#4034—316no—
154#4033—38no—
155#4027—316no—
156#4024—316no—
157C2×D4×Q8—151noSylow
158C23×C3×C5—22no—
159C23×C3×C5—22no—
160C23×C3×C5C2×Q814yescomplemented
161C23×C3×C5C2412yes—
162C23×C3×C5C2411yescharacteristic
163C22×D15—22no—
164C22×D15—22no—
165C22×D15C2×Q814yescomplemented
166C22×D15C2412yes—
167C3×C5×Q8—28no—
168C2×C3×C4×C5—22no—
169C2×C3×C4×C5—24no—
170C2×C3×C4×C5—24no—
171C2×C3×C4×C5—28no—
172C2×C3×C4×C5C2×D414yes—
173C2×C3×C4×C5C2414yes—
174C2×C3×C4×C5C2414yes—
175C2×C3×C4×C5C2412yes—
176C2×C3×C4×C5C2412yes—
177#1220C2×Q8116yescomplemented
178C2×Dic15—22no—
179C2×Dic15—24no—
180C2×Dic15—22no—
181C2×Dic15—216no—
182C2×Dic15C2×D418yes—
183C2×Dic15C2×Q814yescomplemented
184C2×Dic15C2412yes—
185C2×Dic15C2414yes—
186C2×Dic15C2412yes—
187C2×Dic15C2414yes—
188C2×Dic15C2412yes—
189C4×D15—28no—
190C4×D15—216no—
191Dic30—28no—
192Dic30—216no—
193Dic30—216no—
194Dic30C2×D4116yescomplemented
195C22×C3×Q8C2×D511yescharacteristic
196C23×C3×C4C2×D511yescharacteristic
197C22×#67—51no—
198C23×Dic3—52no—
199C2×D3×Q8—58no—
200C2×D3×Q8—108no—
201C22×C4×D3—52no—
202C22×C4×D3—51no—
203C22×Dic6—51no—
204C22×Dic6—58no—
205C22×Dic6—52no—
206C22×Dic6—51no—
207C22×Dic6—52no—
208C22×Dic6—108no—
209C3×C22⋊Q8C2×D518yescomplemented
210C2×C3×C4⋊C4C2×D511yescharacteristic
211C2×C3×C4⋊C4C2×D512yes—
212C2×C3×C22⋊C4C2×D512yes—
213C2×#217—51no—
214#944—58no—
215C4×#67—58no—
216C2×(C2×D3)⋊C4—52no—
217C2×(C2×D3)⋊C4—51no—
218C2×C4⋊Dic3—52no—
219C2×Dic3⋊C4—52no—
220C2×Dic3⋊C4—52no—
221C2×Dic3⋊C4—52no—
222C2×Dic3⋊C4—51no—
223C2×C4×Dic3—52no—
224C2×C4×Dic3—51no—
225#897—58no—
226#896—516no—
227#888—516no—
228#887—58no—
229#67⋊C4—516no—
230#878—516no—
231C24×C5C22×D311yescharacteristic
232C23×D5—31no—
233C2×C5×Q8—24no—
234C2×C5×Q8C22×D314yes—
235C22×C4×C5—24no—
236C22×C4×C5C22×D312yes—
237C22×C4×C5C22×D312yes—
238C22×C4×C5C22×D311yescharacteristic
239C22×C4×C5C22×D314yes—
240C22×C4×C5C22×D311yescharacteristic
241C2×C22⋊D5—38no—
242C2×C22⋊D5—34no—
243C22×Dic5—32no—
244C22×Dic5—31no—
245C22×Dic5—31no—
246C22×Dic5—31no—
247C22×Dic5—38no—
248C22×Dic5—32no—
249C22×Dic5—68no—
250Q8×D5—632no—
251C2×C4×D5—38no—
252C2×C4×D5—34no—
253C2×C4×D5—68no—
254C2×C4×D5—64no—
255C2×Dic10—38no—
256C2×Dic10—34no—
257C2×Dic10—38no—
258C2×Dic10—34no—
259C2×Dic10—38no—
260C2×Dic10—632no—
261C2×Dic10—68no—
262C2×Dic10—68no—
263C2×Dic10—64no—
264C5×C4⋊C4C22×D314yes—
265C5×C4⋊C4C22×D318yes—
266C5×C22⋊C4C22×D318yes—
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—38no—
276C4×Dic5—34no—
277C23×Q8—151no—
278C23×Q8—151no—
279D4×Q8—1516no—
280C2×C4⋊Q8—151no—
281C2×C4⋊Q8—152no—
282C2×C22⋊Q8—152no—
283C2×C22⋊Q8—151no—
284C2×C22⋊Q8—152no—
285C2×C22⋊Q8D1511yescharacteristic, complemented
286C2×C4×Q8—151no—
287C2×C4×D4—151no—
288C2×C4×D4—152no—
289C22×C3×C5—28no—
290C22×C3×C5—22no—
291C22×C3×C5—22no—
292C22×C3×C5C22×D412yes—
293C22×C3×C5C22×Q812yes—
294C22×C3×C5C22×Q814yescomplemented
295C22×C3×C52−1+412yes—
296C22×C3×C5C2511yescharacteristic
297C2×D15—28no—
298C2×D15—22no—
299C2×D15—22no—
300C2×D15C22×Q814yescomplemented
301C3×C4×C5—22no—
302C3×C4×C5—24no—
303C3×C4×C5—24no—
304C3×C4×C5C22×D414yes—
305Dic15—22no—
306Dic15—24no—
307Dic15—22no—
308Dic15C22×D418yes—
309Dic15C22×Q814yescomplemented
310C24×C3C22×D511yescharacteristic
311C23×D3—51no—
312C2×C3×Q8—24no—
313C2×C3×Q8C22×D514yes—
314C22×C3×C4—24no—
315C22×C3×C4C22×D512yes—
316C22×C3×C4C22×D512yes—
317C22×C3×C4C22×D511yescharacteristic
318C22×C3×C4C22×D514yes—
319C22×C3×C4C22×D511yescharacteristic
320C2×#67—58no—
321C2×#67—54no—
322C22×Dic3—51no—
323C22×Dic3—52no—
324C22×Dic3—58no—
325C22×Dic3—51no—
326C22×Dic3—52no—
327C22×Dic3—51no—
328C22×Dic3—108no—
329D3×Q8—1032no—
330C2×C4×D3—58no—
331C2×C4×D3—54no—
332C2×C4×D3—108no—
333C2×C4×D3—104no—
334C2×Dic6—58no—
335C2×Dic6—54no—
336C2×Dic6—58no—
337C2×Dic6—58no—
338C2×Dic6—54no—
339C2×Dic6—1032no—
340C2×Dic6—108no—
341C2×Dic6—108no—
342C2×Dic6—104no—
343C3×C4⋊C4C22×D514yes—
344C3×C4⋊C4C22×D518yes—
345C3×C22⋊C4C22×D518yes—
346#217—54no—
347(C2×D3)⋊C4—58no—
348(C2×D3)⋊C4—54no—
349C4⋊Dic3—58no—
350Dic3⋊C4—58no—
351Dic3⋊C4—58no—
352Dic3⋊C4—58no—
353Dic3⋊C4—54no—
354C4×Dic3—58no—
355C4×Dic3—54no—
356C23×C5—22no—
357C23×C5—22no—
358C23×C5D3×Q814yescomplemented
359C23×C5C23×D312yes—
360C23×C5C23×D311yescharacteristic
361C22×D5—34no—
362C22×D5—32no—
363C22×D5—62no—
364C22×D5—62no—
365C5×Q8—28no—
366C2×C4×C5—22no—
367C2×C4×C5—24no—
368C2×C4×C5—24no—
369C2×C4×C5—28no—
370C2×C4×C5D3×D414yes—
371C2×C4×C5C23×D314yes—
372C2×C4×C5C23×D314yes—
373C2×C4×C5C23×D312yes—
374C2×C4×C5C23×D312yes—
375C22⋊D5—316no—
376C2×Dic5—38no—
377C2×Dic5—34no—
378C2×Dic5—32no—
379C2×Dic5—34no—
380C2×Dic5—32no—
381C2×Dic5—34no—
382C2×Dic5—32no—
383C2×Dic5—616no—
384C2×Dic5—62no—
385C2×Dic5—64no—
386C2×Dic5—62no—
387C4×D5—616no—
388C4×D5—68no—
389Dic10—316no—
390Dic10—616no—
391Dic10—616no—
392Dic10—68no—
393C22×Q8—158no—
394C22×Q8—151no—
395C22×Q8—152no—
396C22×Q8—152no—
397C22×Q8—151no—
398C22×Q8—158no—
399C22×Q8—308no—
400C22×Q8—308no—
401C22×Q8C2×D1511yescharacteristic
402C22×D4—151no—
403C23×C4—152no—
404C23×C4—152no—
405C23×C4—151no—
406C23×C4C2×D1511yescharacteristic
407C4⋊Q8—158no—
408C4⋊Q8—1516no—
409C22⋊Q8—1516no—
410C22⋊Q8—158no—
411C22⋊Q8—1516no—
412C22⋊Q8C2×D1518yescomplemented
413C4×Q8—158no—
414C4×D4—158no—
415C4×D4—1516no—
416C2×C4⋊C4—151no—
417C2×C4⋊C4—152no—
418C2×C4⋊C4—152no—
419C2×C4⋊C4—152no—
420C2×C4⋊C4—152no—
421C2×C4⋊C4C2×D1511yescharacteristic
422C2×C4⋊C4C2×D1512yes—
423C2×C22⋊C4—151no—
424C2×C22⋊C4—151no—
425C2×C22⋊C4—152no—
426C2×C22⋊C4C2×D1512yes—
427C2×C42—152no—
428C2×C42—151no—
429C2×C3×C5—24no—
430C2×C3×C5D4×Q814yescomplemented
431C2×C3×C5C23×D411yescharacteristic
432C2×C3×C5C23×Q811yescharacteristic
433C2×C3×C5C2×2−1+411yescharacteristic
434D15—24no—
435C23×C3—22no—
436C23×C3—22no—
437C23×C3Q8×D514yescomplemented
438C23×C3C23×D512yes—
439C23×C3C23×D511yescharacteristic
440C22×D3—54no—
441C22×D3—52no—
442C22×D3—102no—
443C22×D3—102no—
444C3×Q8—28no—
445C2×C3×C4—22no—
446C2×C3×C4—24no—
447C2×C3×C4—24no—
448C2×C3×C4—28no—
449C2×C3×C4D4×D514yes—
450C2×C3×C4C23×D514yes—
451C2×C3×C4C23×D514yes—
452C2×C3×C4C23×D512yes—
453C2×C3×C4C23×D512yes—
454#67—516no—
455C2×Dic3—58no—
456C2×Dic3—54no—
457C2×Dic3—52no—
458C2×Dic3—54no—
459C2×Dic3—52no—
460C2×Dic3—54no—
461C2×Dic3—52no—
462C2×Dic3—1016no—
463C2×Dic3—102no—
464C2×Dic3—104no—
465C2×Dic3—102no—
466C4×D3—1016no—
467C4×D3—108no—
468Dic6—516no—
469Dic6—1016no—
470Dic6—1016no—
471Dic6—108no—
472C22×C5—28no—
473C22×C5—22no—
474C22×C5—22no—
475C22×C5C2×D3×D412yes—
476C22×C5C2×D3×Q812yes—
477C22×C5C2×D3×Q814yescomplemented
478C22×C5#101012yes—
479C22×C5C24×D311yescharacteristic
480C2×D5—34no—
481C2×D5—68no—
482C2×D5—62no—
483C2×D5—62no—
484C4×C5—22no—
485C4×C5—24no—
486C4×C5—24no—
487C4×C5C2×D3×D414yes—
488Dic5—38no—
489Dic5—34no—
490Dic5—62no—
491Dic5—64no—
492Dic5—62no—
493C24—151no—
494C24C22×D1511yescharacteristic
495C2×Q8—24no—
496C2×Q8—158no—
497C2×Q8—154no—
498C2×Q8—158no—
499C2×Q8—158no—
500C2×Q8—154no—
501C2×Q8—308no—
502C2×Q8—308no—
503C2×Q8—3032no—
504C2×Q8—3032no—
505C2×Q8—304no—
506C2×Q8C22×D1514yes—
507C2×D4—158no—
508C2×D4—154no—
509C22×C4—24no—
510C22×C4—151no—
511C22×C4—152no—
512C22×C4—158no—
513C22×C4—151no—
514C22×C4—151no—
515C22×C4—152no—
516C22×C4—158no—
517C22×C4—154no—
518C22×C4—308no—
519C22×C4—308no—
520C22×C4—304no—
521C22×C4C22×D1514yes—
522C22×C4C22×D1512yes—
523C22×C4C22×D1511yescharacteristic
524C22×C4C22×D1512yes—
525C22×C4C22×D1511yescharacteristic
526C4⋊C4—154no—
527C4⋊C4—158no—
528C4⋊C4—158no—
529C4⋊C4—158no—
530C4⋊C4—158no—
531C4⋊C4C22×D1514yes—
532C4⋊C4C22×D1518yes—
533C22⋊C4—154no—
534C22⋊C4—154no—
535C22⋊C4—158no—
536C22⋊C4C22×D1518yes—
537C42—158no—
538C42—154no—
539C3×C5C2×D4×Q811yescharacteristic, complemented, Hall
540C22×C3—28no—
541C22×C3—22no—
542C22×C3—22no—
543C22×C3C2×D4×D512yes—
544C22×C3C2×Q8×D512yes—
545C22×C3C2×Q8×D514yescomplemented
546C22×C3#415012yes—
547C22×C3C24×D511yescharacteristic
548C2×D3—54no—
549C2×D3—108no—
550C2×D3—102no—
551C2×D3—102no—
552C3×C4—22no—
553C3×C4—24no—
554C3×C4—24no—
555C3×C4C2×D4×D514yes—
556Dic3—58no—
557Dic3—54no—
558Dic3—102no—
559Dic3—104no—
560Dic3—102no—
561C2×C5—24no—
562C2×C5#563214yescomplemented
563C2×C5C22×D3×D411yescharacteristic
564C2×C5C22×D3×Q811yescharacteristic
565C2×C5C2×#101011yescharacteristic
566D5—64no—
567C23—22no—
568C23—22no—
569C23—154no—
570C23—152no—
571C23—302no—
572C23—302no—
573C23Q8×D1514yescomplemented
574C23C23×D1512yes—
575C23C23×D1511yescharacteristic
576Q8—28no—
577Q8—1516no—
578Q8—3016no—
579Q8—3016no—
580Q8—308no—
581D4—1516no—
582C2×C4—22no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—28no—
586C2×C4—158no—
587C2×C4—154no—
588C2×C4—152no—
589C2×C4—154no—
590C2×C4—152no—
591C2×C4—152no—
592C2×C4—154no—
593C2×C4—3016no—
594C2×C4—3016no—
595C2×C4—304no—
596C2×C4—302no—
597C2×C4—302no—
598C2×C4—308no—
599C2×C4D4×D1514yes—
600C2×C4C23×D1514yes—
601C2×C4C23×D1512yes—
602C2×C4C23×D1514yes—
603C2×C4C23×D1512yes—
604C2×C3—24no—
605C2×C3#6596614yescomplemented
606C2×C3C22×D4×D511yescharacteristic
607C2×C3C22×Q8×D511yescharacteristic
608C2×C3C2×#415011yescharacteristic
609D3—104no—
610C5C2×#563211yescharacteristic, complemented, Sylow
611C22—22no—
612C22—22no—
613C22—28no—
614C22—154no—
615C22—302no—
616C22—302no—
617C22—308no—
618C22C2×D4×D1512yes—
619C22C2×Q8×D1512yes—
620C22C2×Q8×D1514yescomplemented
621C22#9210112yes—
622C22C24×D1511yescharacteristic
623C4—22no—
624C4—24no—
625C4—24no—
626C4—158no—
627C4—154no—
628C4—304no—
629C4—302no—
630C4—302no—
631C4C2×D4×D1514yes—
632C3C2×#6596611yescharacteristic, complemented, Sylow
633C2—24no—
634C2—304no—
635C2#1175639114yesdirect product factor
636C2C22×D4×D1511yescharacteristic
637C2C22×Q8×D1511yescharacteristic
638C2C2×#9210111yescharacteristic
subgroupG/H
centerC23C23×D15
commutator, cosocleC22×C3×C5C25
FrattiniC22C24×D15
FittingC2×C3×C5×C22⋊Q8C2
socleC23×C3×C5C24
prime radicalC22×#1220C22
hypercenterC2×C22⋊Q8D15
hypocenterC3×C5C2×D4×Q8
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C2×C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. C22×Q8×D15C2semidirect
2. C23×Dic30C2semidirect
3. C2×C3×C5×C22⋊Q8C2semidirect
4. C2×#91833C2semidirect
6. #11756391C2direct (N × H)
7. C2×#91786C2semidirect
8. C2×#91785C2semidirect
9. C2×#91777C2semidirect
10. C2×#91776C2semidirect
12. C2×#91767C2semidirect
19. C2×Q8×D15C22semidirect
27. C22×Dic30C22semidirect
28. C3×C5×C22⋊Q8C22semidirect
33. #91833C22semidirect
44. #91786C22semidirect
45. #91785C22semidirect
46. #91777C22semidirect
47. #91776C22semidirect
49. #91767C22semidirect
53. C2×C5×C22⋊Q8D3semidirect
73. C2×#1220Q8semidirect
91. C2×Dic30D4semidirect
111. C2×C3×C22⋊Q8D5semidirect
135. C5×C22⋊Q8C2×D3semidirect
160. C23×C3×C5C2×Q8semidirect
165. C22×D15C2×Q8semidirect
177. #1220C2×Q8semidirect
183. C2×Dic15C2×Q8semidirect
194. Dic30C2×D4semidirect
209. C3×C22⋊Q8C2×D5semidirect
285. C2×C22⋊Q8D15semidirect
294. C22×C3×C5C22×Q8semidirect
300. C2×D15C22×Q8semidirect
309. Dic15C22×Q8semidirect
358. C23×C5D3×Q8semidirect
412. C22⋊Q8C2×D15semidirect
430. C2×C3×C5D4×Q8semidirect
437. C23×C3Q8×D5semidirect
477. C22×C5C2×D3×Q8semidirect
539. C3×C5C2×D4×Q8semidirect
545. C22×C3C2×Q8×D5semidirect
562. C2×C5#5632semidirect
573. C23Q8×D15semidirect
605. C2×C3#65966semidirect
610. C5C2×#5632semidirect
620. C22C2×Q8×D15semidirect
632. C3C2×#65966semidirect
635. C2#11756391direct (N × H)

Maximal subgroups

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

subgroupindex
C22×Q8×D152
C23×Dic302
C2×C3×C5×C22⋊Q82
C2×#918332
C2×C4×#12202
#117563912
C2×#917862
C2×#917852
C2×#917772
C2×#917762
C2×#917702
C2×#917672
C2×#659663
C2×#56325