Finite Group Databasebeta

← C2×#11754354 #14482941

Subgroups — C2×#11754354 #14482941

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
1C23×C5×Dic6C211yesmaximal, characteristic, complemented
2C22×D15⋊Q8C211yesmaximal, characteristic, complemented
3C2×C4×#1220C211yesmaximal, characteristic
4C2×C3×#4070C211yesmaximal, characteristic, complemented
5C2×#91575C212yesmaximal, complemented
6C2×#91556C212yesmaximal
7#11754354C2116yesmaximal, direct product factor
8C2×#91424C212yesmaximal, complemented
9C2×#91385C211yesmaximal, characteristic, complemented
10C2×#91383C211yesmaximal, characteristic, complemented
11C2×#91344C211yesmaximal, characteristic, complemented
12C2×#91329C212yesmaximal, complemented
13C2×Q8×C22⋊D5—31nomaximal, Hall
14C23×C3×C4×C5C2211yescharacteristic
15C22×#1220C2211yescharacteristic
16C22×C4×D15C2211yescharacteristic
17C23×C5×Dic3C2212yes—
18C22×C5×Dic6—28no—
19C22×C5×Dic6C2211yescharacteristic
20C22×C5×Dic6C2212yes—
21C22×C5×Dic6C2211yescharacteristic
22C22×C5×Dic6C2218yescomplemented
23C22×C3×Dic10C2211yescharacteristic
24C22×#1204C2212yes—
25C22×#1200C2212yes—
26C2×D15⋊Q8—28no—
27C2×D15⋊Q8C2218yescomplemented
28C2×#6719C2211yescharacteristic
29C4×#1220C2218yes—
30C2×#6714C2211yescharacteristic
31C2×#6712C2211yescharacteristic
32C2×C4×Dic15C2211yescharacteristic
33C2×C3×C22⋊Dic5C2212yes—
34C2×C3×C4⋊Dic5C2211yescharacteristic
35C3×#4070C2218yescomplemented
36C2×C3×#683C2212yes—
37#91575C22116yescomplemented
38#91556C22116yes—
39C2×Dic3⋊Dic5C2212yes—
40C2×#6669C2212yes—
41C2×#6669C2212yes—
42C2×#6668C2212yes—
43C2×#6667C2212yes—
44C2×Dic3×Dic5C2212yes—
45#91424C22116yescomplemented
46#91385C2218yescomplemented
47#91383C2218yescomplemented
48#91344C2218yescomplemented
49#91329C22116yescomplemented
50C2×#5632—51nomaximal, Hall
51C23×C5×Q8—31no—
52C22×Q8×D5—31no—
53Q8×C22⋊D5—316no—
54C2×#4092—31no—
55C2×#4092—32no—
56C2×Q8×Dic5—31no—
57C2×#4090—32no—
58C2×#4090—31no—
59C2×C4×C22⋊D5—31no—
60C2×C4×C22⋊D5—32no—
61C2×#4070—32no—
62C2×#4070D311yescharacteristic, complemented
63C24×C3×C5C2311yescharacteristic
64C23×D15C2311yescharacteristic
65C22×C3×C4×C5—24no—
66C22×C3×C4×C5C2311yescharacteristic
67C22×C3×C4×C5C2314yes—
68C22×C3×C4×C5C2311yescharacteristic
69C2×#1220Q818yescomplemented
70C2×#1220C2314yes—
71C22×Dic15C2311yescharacteristic
72C22×Dic15C2311yescharacteristic
73C22×Dic15C2311yescharacteristic
74C2×C4×D15—24no—
75C2×C4×D15C2314yes—
76C22×C5×Dic3—28no—
77C22×C5×Dic3C2312yes—
78C22×C5×Dic3C2318yes—
79C22×C5×Dic3C2312yes—
80C2×C5×Dic6—24no—
81C2×C5×Dic6—28no—
82C2×C5×Dic6—232no—
83C2×C5×Dic6D418yescomplemented
84C2×C5×Dic6C2318yes—
85C2×C5×Dic6C2314yes—
86C2×C5×Dic6C2314yes—
87C22×C3×Dic5C2312yes—
88C22×C3×Dic5C2312yes—
89C2×C3×Dic10—24no—
90C2×C3×Dic10C2314yes—
91C2×#1204—28no—
92C2×#1204C2318yes—
93C2×#1200—28no—
94C2×#1200C2318yes—
95D15⋊Q8—232no—
96#6719C2314yes—
97#6714C2314yes—
98#6712C2314yes—
99C4×Dic15C2314yes—
100C3×C22⋊Dic5C2318yes—
101C3×C4⋊Dic5C2314yes—
102C3×#683C2318yes—
103Dic3⋊Dic5C2318yes—
104#6669C2318yes—
105#6669C2318yes—
106#6668C2318yes—
107#6667C2318yes—
108Dic3×Dic5C2318yes—
109C22×D3×Q8—51no—
110C23×Dic6D511yescharacteristic, complemented
111C2×C3×C22⋊Q8—51no—
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×Q8—31no—
122C22×C5×Q8—32no—
123C22×C5×Q8—31no—
124C22×C5×Q8—38no—
125C22×C5×Q8—68no—
126C23×C4×C5—32no—
127C23×C4×C5C2×D311yescharacteristic
128C22×C22⋊D5—31no—
129C2×Q8×D5—38no—
130C2×Q8×D5—68no—
131C22×C4×D5—31no—
132C22×C4×D5—32no—
133C22×Dic10—32no—
134C22×Dic10C2×D311yescharacteristic
135C2×C22⋊Dic5—31no—
136C2×C22⋊Dic5C2×D312yes—
137#4092—38no—
138#4092—316no—
139Q8×Dic5—38no—
140#4090—38no—
141#4090—316no—
142C4×C22⋊D5—38no—
143C4×C22⋊D5—316no—
144C2×#685—31no—
145C2×#685—32no—
146C2×C4⋊Dic5—32no—
147C2×C4⋊Dic5C2×D311yescharacteristic
148#4070—316no—
149#4070C2×D318yescomplemented
150C2×#683—31no—
151C2×#683—32no—
152C2×#683—32no—
153C2×#683—32no—
154C2×#683C2×D312yes—
155C2×C4×Dic5—31no—
156C2×C4×Dic5—32no—
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—
167C2×C3×C4×C5—22no—
168C2×C3×C4×C5—28no—
169C2×C3×C4×C5C2×D414yes—
170C2×C3×C4×C5C2412yes—
171C2×C3×C4×C5C2412yes—
172#1220C2×Q8116yescomplemented
173C2×Dic15—22no—
174C2×Dic15—22no—
175C2×Dic15C2×Q814yescomplemented
176C2×Dic15C2412yes—
177C2×Dic15C2412yes—
178C2×Dic15C2412yes—
179C4×D15—28no—
180C2×C5×Dic3—24no—
181C2×C5×Dic3—216no—
182C2×C5×Dic3C2×D418yes—
183C2×C5×Dic3C2414yes—
184C2×C5×Dic3C2414yes—
185C5×Dic6—28no—
186C5×Dic6—216no—
187C5×Dic6C2×D4116yescomplemented
188C2×C3×Dic5—24no—
189C2×C3×Dic5—24no—
190C2×C3×Dic5C2414yes—
191C2×C3×Dic5C2414yes—
192C3×Dic10—28no—
193#1204—216no—
194#1200—216no—
195C22×C3×Q8—51no—
196C23×C3×C4C2×D511yescharacteristic
197C22×#67—51no—
198C23×Dic3C2×D512yes—
199C2×D3×Q8—58no—
200C2×D3×Q8—108no—
201C22×C4×D3—51no—
202C22×C4×D3—52no—
203C22×Dic6—28no—
204C22×Dic6—52no—
205C22×Dic6C2×D512yes—
206C22×Dic6C2×D511yescharacteristic
207C22×Dic6C2×D511yescharacteristic
208C22×Dic6C2×D518yescomplemented
209C3×C22⋊Q8—58no—
210C2×C3×C4⋊C4—51no—
211C2×C3×C4⋊C4—52no—
212C2×C3×C22⋊C4—52no—
213C2×#217—51no—
214#944—58no—
215C4×#67—58no—
216C2×(C2×D3)⋊C4—51no—
217C2×(C2×D3)⋊C4—52no—
218C2×C4⋊Dic3—52no—
219C2×Dic3⋊C4—51no—
220C2×Dic3⋊C4—52no—
221C2×Dic3⋊C4—52no—
222C2×Dic3⋊C4—52no—
223C2×C4×Dic3—51no—
224C2×C4×Dic3—52no—
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—38no—
234C2×C5×Q8—34no—
235C2×C5×Q8—38no—
236C2×C5×Q8—34no—
237C2×C5×Q8—68no—
238C2×C5×Q8—632no—
239C2×C5×Q8—64no—
240C22×C4×C5—24no—
241C22×C4×C5—32no—
242C22×C4×C5—32no—
243C22×C4×C5—38no—
244C22×C4×C5—68no—
245C22×C4×C5C22×D311yescharacteristic
246C22×C4×C5C22×D314yes—
247C22×C4×C5C22×D311yescharacteristic
248C2×C22⋊D5—38no—
249C2×C22⋊D5—34no—
250C22×Dic5—31no—
251C22×Dic5—31no—
252C22×Dic5—31no—
253C22×Dic5C22×D312yes—
254C22×Dic5C22×D312yes—
255Q8×D5—632no—
256C2×C4×D5—34no—
257C2×C4×D5—38no—
258C2×C4×D5—68no—
259C2×C4×D5—64no—
260C2×Dic10—24no—
261C2×Dic10—38no—
262C2×Dic10—68no—
263C2×Dic10C22×D314yes—
264C22⋊Dic5—34no—
265C22⋊Dic5C22×D318yes—
266#685—34no—
267#685—38no—
268C4⋊Dic5—38no—
269C4⋊Dic5C22×D314yes—
270#683—34no—
271#683—38no—
272#683—38no—
273#683—38no—
274#683C22×D318yes—
275C4×Dic5—34no—
276C4×Dic5—38no—
277C23×Q8—31no—
278C23×Q8—151no—
279D4×Q8—1516no—
280C2×C4⋊Q8—152no—
281C2×C4⋊Q8—151no—
282C2×C22⋊Q8—51no—
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×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×C5C22×D414yes—
303Dic15—22no—
304Dic15—22no—
305Dic15C22×Q814yescomplemented
306C3×Dic5—24no—
307C3×Dic5—24no—
308C5×Dic3—24no—
309C5×Dic3C22×D418yes—
310C24×C3C22×D511yescharacteristic
311C23×D3—51no—
312C2×C3×Q8—54no—
313C2×C3×Q8—104no—
314C22×C3×C4—24no—
315C22×C3×C4—52no—
316C22×C3×C4—52no—
317C22×C3×C4C22×D511yescharacteristic
318C22×C3×C4C22×D514yes—
319C22×C3×C4C22×D511yescharacteristic
320C2×#67—58no—
321C2×#67—54no—
322C22×Dic3—28no—
323C22×Dic3—51no—
324C22×Dic3—51no—
325C22×Dic3—51no—
326C22×Dic3C22×D518yes—
327C22×Dic3C22×D512yes—
328C22×Dic3C22×D512yes—
329D3×Q8—1032no—
330C2×C4×D3—54no—
331C2×C4×D3—58no—
332C2×C4×D3—104no—
333C2×C4×D3—108no—
334C2×Dic6—24no—
335C2×Dic6—28no—
336C2×Dic6—232no—
337C2×Dic6—58no—
338C2×Dic6—108no—
339C2×Dic6C22⋊D518yescomplemented
340C2×Dic6C22×D518yes—
341C2×Dic6C22×D514yes—
342C2×Dic6C22×D514yes—
343C3×C4⋊C4—58no—
344C3×C4⋊C4—54no—
345C3×C22⋊C4—58no—
346#217—54no—
347(C2×D3)⋊C4—54no—
348(C2×D3)⋊C4—58no—
349C4⋊Dic3—58no—
350Dic3⋊C4—54no—
351Dic3⋊C4—58no—
352Dic3⋊C4—58no—
353Dic3⋊C4—58no—
354C4×Dic3—54no—
355C4×Dic3—58no—
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—316no—
366C5×Q8—616no—
367C5×Q8—68no—
368C2×C4×C5—22no—
369C2×C4×C5—28no—
370C2×C4×C5—38no—
371C2×C4×C5—34no—
372C2×C4×C5—34no—
373C2×C4×C5—616no—
374C2×C4×C5—64no—
375C2×C4×C5D3×D414yes—
376C2×C4×C5C23×D312yes—
377C2×C4×C5C23×D312yes—
378C22⋊D5—316no—
379C2×Dic5—24no—
380C2×Dic5—24no—
381C2×Dic5—34no—
382C2×Dic5—32no—
383C2×Dic5—32no—
384C2×Dic5—32no—
385C2×Dic5—62no—
386C2×Dic5—62no—
387C2×Dic5C23×D314yes—
388C2×Dic5C23×D314yes—
389C4×D5—616no—
390C4×D5—68no—
391Dic10—28no—
392Dic10—616no—
393C22×Q8—31no—
394C22×Q8—32no—
395C22×Q8—31no—
396C22×Q8—38no—
397C22×Q8—51no—
398C22×Q8—68no—
399C22×Q8—152no—
400C22×Q8—158no—
401C22×Q8—308no—
402C22×D4—151no—
403C23×C4—32no—
404C23×C4—152no—
405C23×C4—151no—
406C23×C4D3×D511yescharacteristic
407C4⋊Q8—1516no—
408C4⋊Q8—158no—
409C22⋊Q8—58no—
410C22⋊Q8—1516no—
411C22⋊Q8—1516no—
412C22⋊Q8—158no—
413C4×Q8—158no—
414C4×D4—1516no—
415C4×D4—158no—
416C2×C4⋊C4—51no—
417C2×C4⋊C4—52no—
418C2×C4⋊C4—152no—
419C2×C4⋊C4—152no—
420C2×C4⋊C4—152no—
421C2×C4⋊C4—152no—
422C2×C4⋊C4—151no—
423C2×C22⋊C4—52no—
424C2×C22⋊C4—152no—
425C2×C22⋊C4—151no—
426C2×C22⋊C4—151no—
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—108no—
445C2×C3×C4—22no—
446C2×C3×C4—28no—
447C2×C3×C4—54no—
448C2×C3×C4—54no—
449C2×C3×C4—104no—
450C2×C3×C4—104no—
451C2×C3×C4C2×C22⋊D514yes—
452C2×C3×C4C23×D512yes—
453C2×C3×C4C23×D512yes—
454#67—516no—
455C2×Dic3—24no—
456C2×Dic3—216no—
457C2×Dic3—54no—
458C2×Dic3—52no—
459C2×Dic3—52no—
460C2×Dic3—52no—
461C2×Dic3—102no—
462C2×Dic3—102no—
463C2×Dic3C2×C22⋊D518yes—
464C2×Dic3C23×D514yes—
465C2×Dic3C23×D514yes—
466C4×D3—108no—
467C4×D3—1016no—
468Dic6—28no—
469Dic6—216no—
470Dic6—1016no—
471Dic6C2×C22⋊D5116yescomplemented
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—38no—
486C4×C5—64no—
487C4×C5C2×D3×D414yes—
488Dic5—24no—
489Dic5—24no—
490Dic5—34no—
491Dic5—62no—
492Dic5—62no—
493C24—151no—
494C24C2×D3×D511yescharacteristic
495C2×Q8—38no—
496C2×Q8—34no—
497C2×Q8—38no—
498C2×Q8—34no—
499C2×Q8—54no—
500C2×Q8—68no—
501C2×Q8—632no—
502C2×Q8—64no—
503C2×Q8—104no—
504C2×Q8—158no—
505C2×Q8—308no—
506C2×Q8—3032no—
507C2×D4—158no—
508C2×D4—154no—
509C22×C4—24no—
510C22×C4—32no—
511C22×C4—38no—
512C22×C4—32no—
513C22×C4—52no—
514C22×C4—52no—
515C22×C4—68no—
516C22×C4—158no—
517C22×C4—151no—
518C22×C4—151no—
519C22×C4—151no—
520C22×C4—154no—
521C22×C4—308no—
522C22×C4—304no—
523C22×C4C2×D3×D514yes—
524C22×C4C2×D3×D511yescharacteristic
525C22×C4C2×D3×D511yescharacteristic
526C4⋊C4—54no—
527C4⋊C4—58no—
528C4⋊C4—158no—
529C4⋊C4—158no—
530C4⋊C4—158no—
531C4⋊C4—158no—
532C4⋊C4—154no—
533C22⋊C4—58no—
534C22⋊C4—158no—
535C22⋊C4—154no—
536C22⋊C4—154no—
537C42—158no—
538C42—154no—
539C3×C5C2×D4×Q811yescharacteristic, complemented, Hall
540C22×C3—28no—
541C22×C3—22no—
542C22×C3—22no—
543C22×C3C2×Q8×D512yes—
544C22×C3C2×Q8×D514yescomplemented
545C22×C3#414712yes—
546C22×C3C22×C22⋊D512yes—
547C22×C3C24×D511yescharacteristic
548C2×D3—54no—
549C2×D3—108no—
550C2×D3—102no—
551C2×D3—102no—
552C3×C4—22no—
553C3×C4—104no—
554C3×C4—104no—
555C3×C4C22×C22⋊D514yes—
556Dic3—24no—
557Dic3—54no—
558Dic3—102no—
559Dic3—102no—
560Dic3C22×C22⋊D518yes—
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—
573C23D15⋊Q814yescomplemented
574C23C22×D3×D512yes—
575C23C22×D3×D511yescharacteristic
576Q8—316no—
577Q8—616no—
578Q8—68no—
579Q8—108no—
580Q8—3016no—
581D4—1516no—
582C2×C4—22no—
583C2×C4—28no—
584C2×C4—38no—
585C2×C4—34no—
586C2×C4—34no—
587C2×C4—54no—
588C2×C4—54no—
589C2×C4—616no—
590C2×C4—64no—
591C2×C4—104no—
592C2×C4—104no—
593C2×C4—154no—
594C2×C4—152no—
595C2×C4—152no—
596C2×C4—152no—
597C2×C4—3016no—
598C2×C4—302no—
599C2×C4—302no—
600C2×C4—308no—
601C2×C4D3×C22⋊D514yes—
602C2×C4C22×D3×D512yes—
603C2×C4C22×D3×D512yes—
604C2×C3—24no—
605C2×C3Q8×C22⋊D514yescomplemented
606C2×C3C22×Q8×D511yescharacteristic
607C2×C3C2×#414711yescharacteristic
608C2×C3C23×C22⋊D511yescharacteristic
609D3—104no—
610C5C2×#563211yescharacteristic, complemented, Sylow
611C22—22no—
612C22—28no—
613C22—22no—
614C22—154no—
615C22—302no—
616C22—308no—
617C22—302no—
618C22#9200012yes—
619C22C2×D15⋊Q812yes—
620C22C2×D15⋊Q814yescomplemented
621C22C2×D3×C22⋊D512yes—
622C22C23×D3×D511yescharacteristic
623C4—22no—
624C4—38no—
625C4—64no—
626C4—104no—
627C4—104no—
628C4—154no—
629C4—302no—
630C4—302no—
631C4C2×D3×C22⋊D514yes—
632C3C2×Q8×C22⋊D511yescharacteristic, complemented, Sylow
633C2—24no—
634C2—304no—
635C2#1175435414yesdirect product factor
636C2C2×#9200011yescharacteristic
637C2C22×D15⋊Q811yescharacteristic
638C2C22×D3×C22⋊D511yescharacteristic
subgroupG/H
centerC23C22×D3×D5
commutator, cosocleC22×C3×C5C25
FrattiniC22C23×D3×D5
FittingC23×C3×C4×C5C22
socleC23×C3×C5C24
prime radicalC22×#1220C22
hypercenterC23×C4D3×D5
hypocenterC3×C5C2×D4×Q8
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
1. C23×C5×Dic6C2semidirect
2. C22×D15⋊Q8C2semidirect
4. C2×C3×#4070C2semidirect
5. C2×#91575C2semidirect
7. #11754354C2direct (N × H)
8. C2×#91424C2semidirect
9. C2×#91385C2semidirect
10. C2×#91383C2semidirect
11. C2×#91344C2semidirect
12. C2×#91329C2semidirect
22. C22×C5×Dic6C22semidirect
27. C2×D15⋊Q8C22semidirect
35. C3×#4070C22semidirect
37. #91575C22semidirect
45. #91424C22semidirect
46. #91385C22semidirect
47. #91383C22semidirect
48. #91344C22semidirect
49. #91329C22semidirect
62. C2×#4070D3semidirect
69. C2×#1220Q8semidirect
83. C2×C5×Dic6D4semidirect
110. C23×Dic6D5semidirect
149. #4070C2×D3semidirect
160. C23×C3×C5C2×Q8semidirect
165. C22×D15C2×Q8semidirect
172. #1220C2×Q8semidirect
175. C2×Dic15C2×Q8semidirect
187. C5×Dic6C2×D4semidirect
208. C22×Dic6C2×D5semidirect
294. C22×C3×C5C22×Q8semidirect
300. C2×D15C22×Q8semidirect
305. Dic15C22×Q8semidirect
339. C2×Dic6C22⋊D5semidirect
358. C23×C5D3×Q8semidirect
430. C2×C3×C5D4×Q8semidirect
437. C23×C3Q8×D5semidirect
471. Dic6C2×C22⋊D5semidirect
477. C22×C5C2×D3×Q8semidirect
539. C3×C5C2×D4×Q8semidirect
544. C22×C3C2×Q8×D5semidirect
562. C2×C5#5632semidirect
573. C23D15⋊Q8semidirect
605. C2×C3Q8×C22⋊D5semidirect
610. C5C2×#5632semidirect
620. C22C2×D15⋊Q8semidirect
632. C3C2×Q8×C22⋊D5semidirect
635. C2#11754354direct (N × H)

Maximal subgroups

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

subgroupindex
C23×C5×Dic62
C22×D15⋊Q82
C2×C4×#12202
C2×C3×#40702
C2×#915752
C2×#915562
#117543542
C2×#914242
C2×#913852
C2×#913832
C2×#913442
C2×#913292
C2×Q8×C22⋊D53
C2×#56325