Finite Group Databasebeta

← C2×#11754366 #14482942

Subgroups — C2×#11754366 #14482942

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×Dic30C211yesmaximal, characteristic, complemented
2C22×D5×Dic6C211yesmaximal, characteristic, complemented
3C2×C5×#924C211yesmaximal, characteristic, complemented
4C2×C3×C4×C22⋊D5C211yesmaximal, characteristic
5C2×#91576C212yesmaximal, complemented
6C2×#91559C212yesmaximal
7#11754366C2116yesmaximal, direct product factor
8C2×#91431C212yesmaximal, complemented
9C2×#91376C211yesmaximal, characteristic, complemented
10C2×#91360C211yesmaximal, characteristic, complemented
11C2×#91333C211yesmaximal, characteristic, complemented
12C2×#91328C212yesmaximal, complemented
13C2×#65966—31nomaximal, Hall
14C23×C3×C4×C5C2211yescharacteristic
15C23×Dic15C2212yes—
16C22×Dic30—28no—
17C22×Dic30C2211yescharacteristic
18C22×Dic30C2212yes—
19C22×Dic30C2211yescharacteristic
20C22×Dic30C2218yescomplemented
21C22×C5×Dic6C2211yescharacteristic
22C22×C3×C22⋊D5C2211yescharacteristic
23C22×C3×C4×D5C2211yescharacteristic
24C22×#1204C2212yes—
25C22×D5×Dic3C2212yes—
26C2×D5×Dic6—28no—
27C2×D5×Dic6C2218yescomplemented
28C2×C5×#217C2212yes—
29C2×C5×C4⋊Dic3C2211yescharacteristic
30C5×#924C2218yescomplemented
31C2×C5×Dic3⋊C4C2212yes—
32C2×C3×C22⋊Dic5C2211yescharacteristic
33C3×C4×C22⋊D5C2218yes—
34C2×C3×#685C2211yescharacteristic
35C2×C3×#683C2211yescharacteristic
36C2×C3×C4×Dic5C2211yescharacteristic
37#91576C22116yescomplemented
38#91559C22116yes—
39C2×Dic3⋊Dic5C2212yes—
40C2×#6669C2212yes—
41C2×#6668C2212yes—
42C2×#6668C2212yes—
43C2×#6665C2212yes—
44C2×Dic3×Dic5C2212yes—
45#91431C22116yescomplemented
46#91376C2218yescomplemented
47#91360C2218yescomplemented
48#91333C2218yescomplemented
49#91328C22116yescomplemented
50C2×D4×Dic6—51nomaximal, Hall
51C22×Q8×D5—31no—
52C23×Dic10—31no—
53C2×C5×C22⋊Q8—31no—
54C2×#4090—31no—
55C2×C4×C22⋊D5D311yescharacteristic
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×C3×D5C2311yescharacteristic
65C22×C3×C4×C5—24no—
66C22×C3×C4×C5C2311yescharacteristic
67C22×C3×C4×C5C2314yes—
68C22×C3×C4×C5C2311yescharacteristic
69C22×Dic15—28no—
70C22×Dic15C2312yes—
71C22×Dic15C2318yes—
72C22×Dic15C2312yes—
73C2×Dic30—24no—
74C2×Dic30—28no—
75C2×Dic30—232no—
76C2×Dic30D418yescomplemented
77C2×Dic30C2318yes—
78C2×Dic30C2314yes—
79C2×Dic30C2314yes—
80C22×C5×Dic3C2312yes—
81C22×C5×Dic3C2312yes—
82C2×C5×Dic6—24no—
83C2×C5×Dic6C2314yes—
84C2×C3×C22⋊D5Q818yescomplemented
85C2×C3×C22⋊D5C2314yes—
86C22×C3×Dic5C2311yescharacteristic
87C22×C3×Dic5C2311yescharacteristic
88C22×C3×Dic5C2311yescharacteristic
89C2×C3×C4×D5—24no—
90C2×C3×C4×D5C2314yes—
91C2×#1204—28no—
92C2×#1204C2318yes—
93C2×D5×Dic3—28no—
94C2×D5×Dic3C2318yes—
95D5×Dic6—232no—
96C5×#217C2318yes—
97C5×C4⋊Dic3C2314yes—
98C5×Dic3⋊C4C2318yes—
99C3×C22⋊Dic5C2314yes—
100C3×#685C2314yes—
101C3×#683C2314yes—
102C3×C4×Dic5C2314yes—
103Dic3⋊Dic5C2318yes—
104#6669C2318yes—
105#6668C2318yes—
106#6668C2318yes—
107#6665C2318yes—
108Dic3×Dic5C2318yes—
109C23×Dic6—51no—
110C23×Dic6—51no—
111C2×C3×C4×D4—51no—
112C2×D4×Dic3—52no—
113C2×#924—51no—
114C2×#924D511yescharacteristic, complemented
115D4×Dic6—516no—
116C2×#888—52no—
117C2×#878—52no—
118C2×#878—52no—
119C2×#869—51no—
120C2×C4×Dic6—51no—
121C22×C5×Q8—31no—
122C23×C4×C5C2×D311yescharacteristic
123C22×C22⋊D5C2×D311yescharacteristic
124C23×Dic5—32no—
125C2×Q8×D5—38no—
126C2×Q8×D5—68no—
127C22×C4×D5—32no—
128C22×C4×D5C2×D311yescharacteristic
129C22×Dic10—31no—
130C22×Dic10—32no—
131C22×Dic10—31no—
132C22×Dic10—38no—
133C22×Dic10—32no—
134C22×Dic10—68no—
135C5×C22⋊Q8—38no—
136C2×C5×C4⋊C4—31no—
137C2×C5×C4⋊C4—32no—
138C2×C5×C22⋊C4—32no—
139C2×C22⋊Dic5C2×D311yescharacteristic
140#4090—38no—
141C4×C22⋊D5C2×D318yes—
142C2×#685—32no—
143C2×#685C2×D311yescharacteristic
144C2×C4⋊Dic5—32no—
145C2×#683—32no—
146C2×#683—32no—
147C2×#683—32no—
148C2×#683C2×D311yescharacteristic
149C2×C4×Dic5—32no—
150C2×C4×Dic5C2×D311yescharacteristic
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×C3×D5—22no—
164C22×C3×D5—22no—
165C22×C3×D5C2×Q814yescomplemented
166C22×C3×D5C2412yes—
167C2×C3×C4×C5—22no—
168C2×C3×C4×C5—28no—
169C2×C3×C4×C5C2×D414yes—
170C2×C3×C4×C5C2412yes—
171C2×C3×C4×C5C2412yes—
172C2×Dic15—24no—
173C2×Dic15—216no—
174C2×Dic15C2×D418yes—
175C2×Dic15C2414yes—
176C2×Dic15C2414yes—
177Dic30—28no—
178Dic30—216no—
179Dic30C2×D4116yescomplemented
180C2×C5×Dic3—24no—
181C2×C5×Dic3—24no—
182C2×C5×Dic3C2414yes—
183C2×C5×Dic3C2414yes—
184C5×Dic6—28no—
185C3×C22⋊D5C2×Q8116yescomplemented
186C2×C3×Dic5—22no—
187C2×C3×Dic5—22no—
188C2×C3×Dic5C2×Q814yescomplemented
189C2×C3×Dic5C2412yes—
190C2×C3×Dic5C2412yes—
191C2×C3×Dic5C2412yes—
192C3×C4×D5—28no—
193#1204—216no—
194D5×Dic3—216no—
195C22×C3×D4—51no—
196C23×C3×C4—51no—
197C23×C3×C4C2×D511yescharacteristic
198C23×Dic3—52no—
199C23×Dic3—52no—
200C22×Dic6—51no—
201C22×Dic6—51no—
202C22×Dic6—52no—
203C22×Dic6—58no—
204C22×Dic6—52no—
205C22×Dic6—58no—
206C22×Dic6—108no—
207C22×Dic6—108no—
208C22×Dic6C2×D511yescharacteristic
209C3×C4×D4—58no—
210C2×C3×C4⋊C4—51no—
211C2×C3×C22⋊C4—51no—
212C2×C3×C22⋊C4—51no—
213C2×C3×C42—51no—
214C2×#217—52no—
215C2×#217C2×D512yes—
216D4×Dic3—516no—
217C2×C4⋊Dic3—52no—
218C2×C4⋊Dic3—52no—
219C2×C4⋊Dic3C2×D511yescharacteristic
220#924—58no—
221#924C2×D518yescomplemented
222C2×Dic3⋊C4—52no—
223C2×Dic3⋊C4—52no—
224C2×Dic3⋊C4C2×D512yes—
225C2×C4×Dic3—52no—
226#888—516no—
227#878—516no—
228#878—516no—
229#869—58no—
230C4×Dic6—58no—
231C24×C5C22×D311yescharacteristic
232C23×D5C22×D311yescharacteristic
233C2×C5×Q8—34no—
234C2×C5×Q8—64no—
235C22×C4×C5—24no—
236C22×C4×C5—32no—
237C22×C4×C5—32no—
238C22×C4×C5C22×D311yescharacteristic
239C22×C4×C5C22×D314yes—
240C22×C4×C5C22×D311yescharacteristic
241C2×C22⋊D5Dic618yescomplemented
242C2×C22⋊D5C22×D314yes—
243C22×Dic5—32no—
244C22×Dic5—38no—
245C22×Dic5—32no—
246C22×Dic5—68no—
247C22×Dic5C22×D311yescharacteristic
248C22×Dic5C22×D311yescharacteristic
249C22×Dic5C22×D311yescharacteristic
250Q8×D5—632no—
251C2×C4×D5—24no—
252C2×C4×D5—38no—
253C2×C4×D5—68no—
254C2×C4×D5C22×D314yes—
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⋊C4—38no—
265C5×C4⋊C4—34no—
266C5×C22⋊C4—38no—
267C22⋊Dic5C22×D314yes—
268#685—38no—
269#685C22×D314yes—
270C4⋊Dic5—38no—
271#683—38no—
272#683—38no—
273#683—38no—
274#683C22×D314yes—
275C4×Dic5—38no—
276C4×Dic5C22×D314yes—
277C23×Q8—151no—
278C23×Q8—151no—
279D4×Q8—1516no—
280C2×C4⋊Q8—151no—
281C2×C4⋊Q8—152no—
282C2×C22⋊Q8—31no—
283C2×C22⋊Q8—152no—
284C2×C22⋊Q8—152no—
285C2×C22⋊Q8—151no—
286C2×C4×Q8—151no—
287C2×C4×D4—51no—
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×C3×D5—28no—
298C2×C3×D5—22no—
299C2×C3×D5—22no—
300C2×C3×D5C22×Q814yescomplemented
301C3×C4×C5—22no—
302C3×C4×C5C22×D414yes—
303Dic15—24no—
304Dic15C22×D418yes—
305C3×Dic5—22no—
306C3×Dic5—22no—
307C3×Dic5C22×Q814yescomplemented
308C5×Dic3—24no—
309C5×Dic3—24no—
310C24×C3—51no—
311C24×C3C22×D511yescharacteristic
312C2×C3×D4—58no—
313C2×C3×D4—54no—
314C22×C3×C4—24no—
315C22×C3×C4—51no—
316C22×C3×C4—51no—
317C22×C3×C4—51no—
318C22×C3×C4—54no—
319C22×C3×C4—104no—
320C22×C3×C4C22×D511yescharacteristic
321C22×C3×C4C22×D514yes—
322C22×C3×C4C22×D511yescharacteristic
323C22×Dic3—52no—
324C22×Dic3—58no—
325C22×Dic3—52no—
326C22×Dic3—58no—
327C22×Dic3—108no—
328C22×Dic3—108no—
329C22×Dic3C22×D512yes—
330C22×Dic3C22×D512yes—
331C2×Dic6—24no—
332C2×Dic6—58no—
333C2×Dic6—54no—
334C2×Dic6—54no—
335C2×Dic6—58no—
336C2×Dic6—58no—
337C2×Dic6—1032no—
338C2×Dic6—1032no—
339C2×Dic6—108no—
340C2×Dic6—108no—
341C2×Dic6—104no—
342C2×Dic6C22×D514yes—
343C3×C4⋊C4—54no—
344C3×C22⋊C4—54no—
345C3×C22⋊C4—54no—
346C3×C42—54no—
347#217—58no—
348#217C22×D518yes—
349C4⋊Dic3—58no—
350C4⋊Dic3—58no—
351C4⋊Dic3C22×D514yes—
352Dic3⋊C4—58no—
353Dic3⋊C4—58no—
354Dic3⋊C4C22×D518yes—
355C4×Dic3—58no—
356C23×C5—22no—
357C23×C5—22no—
358C23×C5C2×Dic614yescomplemented
359C23×C5C23×D312yes—
360C23×C5C23×D311yescharacteristic
361C22×D5—22no—
362C22×D5—22no—
363C22×D5C2×Dic614yescomplemented
364C22×D5C23×D312yes—
365C5×Q8—68no—
366C2×C4×C5—22no—
367C2×C4×C5—28no—
368C2×C4×C5—34no—
369C2×C4×C5—34no—
370C2×C4×C5—64no—
371C2×C4×C5—64no—
372C2×C4×C5D3×D414yes—
373C2×C4×C5C23×D312yes—
374C2×C4×C5C23×D312yes—
375C22⋊D5C2×Dic6116yescomplemented
376C2×Dic5—22no—
377C2×Dic5—22no—
378C2×Dic5—38no—
379C2×Dic5—34no—
380C2×Dic5—34no—
381C2×Dic5—616no—
382C2×Dic5—64no—
383C2×Dic5C2×Dic614yescomplemented
384C2×Dic5C23×D312yes—
385C2×Dic5C23×D312yes—
386C2×Dic5C23×D312yes—
387C4×D5—28no—
388C4×D5—616no—
389Dic10—316no—
390Dic10—616no—
391Dic10—616no—
392Dic10—68no—
393C22×Q8—31no—
394C22×Q8—152no—
395C22×Q8—158no—
396C22×Q8—151no—
397C22×Q8—152no—
398C22×Q8—151no—
399C22×Q8—158no—
400C22×Q8—308no—
401C22×Q8—308no—
402C22×D4—51no—
403C23×C4—51no—
404C23×C4—152no—
405C23×C4—152no—
406C23×C4D3×D511yescharacteristic
407C4⋊Q8—158no—
408C4⋊Q8—1516no—
409C22⋊Q8—38no—
410C22⋊Q8—1516no—
411C22⋊Q8—1516no—
412C22⋊Q8—158no—
413C4×Q8—158no—
414C4×D4—58no—
415C4×D4—1516no—
416C2×C4⋊C4—31no—
417C2×C4⋊C4—32no—
418C2×C4⋊C4—51no—
419C2×C4⋊C4—152no—
420C2×C4⋊C4—152no—
421C2×C4⋊C4—152no—
422C2×C4⋊C4—152no—
423C2×C22⋊C4—32no—
424C2×C22⋊C4—51no—
425C2×C22⋊C4—51no—
426C2×C22⋊C4—152no—
427C2×C42—51no—
428C2×C42—152no—
429C2×C3×C5—24no—
430C2×C3×C5D4×Q814yescomplemented
431C2×C3×C5C23×D411yescharacteristic
432C2×C3×C5C23×Q811yescharacteristic
433C2×C3×C5C2×2−1+411yescharacteristic
434C3×D5—24no—
435C23×C3—22no—
436C23×C3—22no—
437C23×C3—54no—
438C23×C3—52no—
439C23×C3—102no—
440C23×C3—102no—
441C23×C3Q8×D514yescomplemented
442C23×C3C23×D512yes—
443C23×C3C23×D511yescharacteristic
444C3×D4—516no—
445C2×C3×C4—22no—
446C2×C3×C4—28no—
447C2×C3×C4—54no—
448C2×C3×C4—52no—
449C2×C3×C4—52no—
450C2×C3×C4—52no—
451C2×C3×C4—102no—
452C2×C3×C4—102no—
453C2×C3×C4—108no—
454C2×C3×C4D4×D514yes—
455C2×C3×C4C23×D512yes—
456C2×C3×C4C23×D512yes—
457C2×Dic3—24no—
458C2×Dic3—24no—
459C2×Dic3—58no—
460C2×Dic3—54no—
461C2×Dic3—54no—
462C2×Dic3—1016no—
463C2×Dic3—1016no—
464C2×Dic3—104no—
465C2×Dic3C23×D514yes—
466C2×Dic3C23×D514yes—
467Dic6—28no—
468Dic6—516no—
469Dic6—1016no—
470Dic6—1016no—
471Dic6—108no—
472C22×C5—22no—
473C22×C5—22no—
474C22×C5—28no—
475C22×C5C22×Dic612yes—
476C22×C5C22×Dic614yescomplemented
477C22×C5C2×D3×D412yes—
478C22×C5#101012yes—
479C22×C5C24×D311yescharacteristic
480C2×D5—22no—
481C2×D5—22no—
482C2×D5—28no—
483C2×D5C22×Dic614yescomplemented
484C4×C5—22no—
485C4×C5—64no—
486C4×C5—64no—
487C4×C5C2×D3×D414yes—
488Dic5—22no—
489Dic5—22no—
490Dic5—38no—
491Dic5—64no—
492Dic5C22×Dic614yescomplemented
493C24—51no—
494C24C2×D3×D511yescharacteristic
495C2×Q8—34no—
496C2×Q8—64no—
497C2×Q8—158no—
498C2×Q8—158no—
499C2×Q8—154no—
500C2×Q8—158no—
501C2×Q8—154no—
502C2×Q8—308no—
503C2×Q8—3032no—
504C2×Q8—308no—
505C2×Q8—3032no—
506C2×Q8—304no—
507C2×D4—58no—
508C2×D4—54no—
509C22×C4—24no—
510C22×C4—32no—
511C22×C4—32no—
512C22×C4—51no—
513C22×C4—51no—
514C22×C4—51no—
515C22×C4—54no—
516C22×C4—104no—
517C22×C4—158no—
518C22×C4—152no—
519C22×C4—158no—
520C22×C4—152no—
521C22×C4—308no—
522C22×C4—308no—
523C22×C4C2×D3×D514yes—
524C22×C4C2×D3×D511yescharacteristic
525C22×C4C2×D3×D511yescharacteristic
526C4⋊C4—34no—
527C4⋊C4—38no—
528C4⋊C4—54no—
529C4⋊C4—158no—
530C4⋊C4—158no—
531C4⋊C4—158no—
532C4⋊C4—158no—
533C22⋊C4—38no—
534C22⋊C4—54no—
535C22⋊C4—54no—
536C22⋊C4—158no—
537C42—54no—
538C42—158no—
539C3×C5C2×D4×Q811yescharacteristic, complemented, Hall
540C22×C3—28no—
541C22×C3—22no—
542C22×C3—22no—
543C22×C3—54no—
544C22×C3—108no—
545C22×C3—102no—
546C22×C3—102no—
547C22×C3C2×D4×D512yes—
548C22×C3C2×Q8×D512yes—
549C22×C3C2×Q8×D514yescomplemented
550C22×C3#415012yes—
551C22×C3C24×D511yescharacteristic
552C3×C4—22no—
553C3×C4—54no—
554C3×C4—102no—
555C3×C4—102no—
556C3×C4C2×D4×D514yes—
557Dic3—24no—
558Dic3—24no—
559Dic3—58no—
560Dic3—104no—
561C2×C5—24no—
562C2×C5D4×Dic614yescomplemented
563C2×C5C23×Dic611yescharacteristic
564C2×C5C22×D3×D411yescharacteristic
565C2×C5C2×#101011yescharacteristic
566D5—24no—
567C23—22no—
568C23—22no—
569C23—54no—
570C23—52no—
571C23—102no—
572C23—102no—
573C23D5×Dic614yescomplemented
574C23C22×D3×D512yes—
575C23C22×D3×D511yescharacteristic
576Q8—68no—
577Q8—1516no—
578Q8—3016no—
579Q8—3016no—
580Q8—308no—
581D4—516no—
582C2×C4—22no—
583C2×C4—28no—
584C2×C4—34no—
585C2×C4—34no—
586C2×C4—54no—
587C2×C4—52no—
588C2×C4—52no—
589C2×C4—52no—
590C2×C4—64no—
591C2×C4—64no—
592C2×C4—102no—
593C2×C4—102no—
594C2×C4—108no—
595C2×C4—158no—
596C2×C4—154no—
597C2×C4—154no—
598C2×C4—3016no—
599C2×C4—3016no—
600C2×C4—304no—
601C2×C4#679014yes—
602C2×C4C22×D3×D512yes—
603C2×C4C22×D3×D512yes—
604C2×C3—24no—
605C2×C3—104no—
606C2×C3#6596614yescomplemented
607C2×C3C22×D4×D511yescharacteristic
608C2×C3C22×Q8×D511yescharacteristic
609C2×C3C2×#415011yescharacteristic
610C5C2×D4×Dic611yescharacteristic, complemented, Sylow
611C22—22no—
612C22—28no—
613C22—22no—
614C22—54no—
615C22—102no—
616C22—108no—
617C22—102no—
618C22C2×D5×Dic612yes—
619C22C2×D5×Dic614yescomplemented
620C22#9200112yes—
621C22C2×#679012yes—
622C22C23×D3×D511yescharacteristic
623C4—22no—
624C4—54no—
625C4—64no—
626C4—64no—
627C4—102no—
628C4—102no—
629C4—158no—
630C4—304no—
631C4C2×#679014yes—
632C3C2×#6596611yescharacteristic, complemented, Sylow
633C2—24no—
634C2—104no—
635C2#1175436614yesdirect product factor
636C2C22×D5×Dic611yescharacteristic
637C2C2×#9200111yescharacteristic
638C2C22×#679011yescharacteristic
subgroupG/H
centerC23C22×D3×D5
commutator, cosocleC22×C3×C5C25
FrattiniC22C23×D3×D5
FittingC23×C3×C4×C5C22
socleC23×C3×C5C24
prime radicalC22×C3×C22⋊D5C22
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×Dic30C2semidirect
2. C22×D5×Dic6C2semidirect
3. C2×C5×#924C2semidirect
5. C2×#91576C2semidirect
7. #11754366C2direct (N × H)
8. C2×#91431C2semidirect
9. C2×#91376C2semidirect
10. C2×#91360C2semidirect
11. C2×#91333C2semidirect
12. C2×#91328C2semidirect
20. C22×Dic30C22semidirect
27. C2×D5×Dic6C22semidirect
30. C5×#924C22semidirect
37. #91576C22semidirect
45. #91431C22semidirect
46. #91376C22semidirect
47. #91360C22semidirect
48. #91333C22semidirect
49. #91328C22semidirect
76. C2×Dic30D4semidirect
84. C2×C3×C22⋊D5Q8semidirect
114. C2×#924D5semidirect
160. C23×C3×C5C2×Q8semidirect
165. C22×C3×D5C2×Q8semidirect
179. Dic30C2×D4semidirect
185. C3×C22⋊D5C2×Q8semidirect
188. C2×C3×Dic5C2×Q8semidirect
221. #924C2×D5semidirect
241. C2×C22⋊D5Dic6semidirect
294. C22×C3×C5C22×Q8semidirect
300. C2×C3×D5C22×Q8semidirect
307. C3×Dic5C22×Q8semidirect
358. C23×C5C2×Dic6semidirect
363. C22×D5C2×Dic6semidirect
375. C22⋊D5C2×Dic6semidirect
383. C2×Dic5C2×Dic6semidirect
430. C2×C3×C5D4×Q8semidirect
441. C23×C3Q8×D5semidirect
476. C22×C5C22×Dic6semidirect
483. C2×D5C22×Dic6semidirect
492. Dic5C22×Dic6semidirect
539. C3×C5C2×D4×Q8semidirect
549. C22×C3C2×Q8×D5semidirect
562. C2×C5D4×Dic6semidirect
573. C23D5×Dic6semidirect
606. C2×C3#65966semidirect
610. C5C2×D4×Dic6semidirect
619. C22C2×D5×Dic6semidirect
632. C3C2×#65966semidirect
635. C2#11754366direct (N × H)

Maximal subgroups

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

subgroupindex
C23×Dic302
C22×D5×Dic62
C2×C5×#9242
C2×C3×C4×C22⋊D52
C2×#915762
C2×#915592
#117543662
C2×#914312
C2×#913762
C2×#913602
C2×#913332
C2×#913282
C2×#659663
C2×D4×Dic65