Finite Group Databasebeta

← C2×Dic6×C22⋊D5 #14482940

Subgroups — C2×Dic6×C22⋊D5 #14482940

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×D5×Dic6C211yesmaximal, characteristic, complemented
3C2×#91813C211yesmaximal, characteristic, complemented
4C2×C3×C4×C22⋊D5C211yesmaximal, characteristic
5C2×#91575C212yesmaximal, complemented
6C2×Dic3×C22⋊D5C212yesmaximal
7Dic6×C22⋊D5C2116yesmaximal, direct product factor
8C2×#91421C212yesmaximal, complemented
9C2×#91376C211yesmaximal, characteristic, complemented
10C2×#91359C211yesmaximal, characteristic, complemented
11C2×Dic5×Dic6C211yesmaximal, characteristic, complemented
12C2×#91329C212yesmaximal, complemented
13C2×Q8×C22⋊D5—31nomaximal, Hall
14C23×C3×C4×C5C2211yescharacteristic
15C22×Dic30C2211yescharacteristic
16C23×C5×Dic3C2212yes—
17C22×C5×Dic6—28no—
18C22×C5×Dic6C2211yescharacteristic
19C22×C5×Dic6C2212yes—
20C22×C5×Dic6C2211yescharacteristic
21C22×C5×Dic6C2218yescomplemented
22C22×C3×C22⋊D5C2211yescharacteristic
23C22×C3×C4×D5C2211yescharacteristic
24C22×#1204C2212yes—
25C22×D5×Dic3C2212yes—
26C2×D5×Dic6—28no—
27C2×D5×Dic6C2218yescomplemented
28C2×#6719C2212yes—
29C2×C4⋊Dic15C2211yescharacteristic
30#91813C2218yescomplemented
31C2×#6712C2212yes—
32C2×C3×C22⋊Dic5C2211yescharacteristic
33C3×C4×C22⋊D5C2218yes—
34C2×C3×#685C2211yescharacteristic
35C2×C3×#683C2211yescharacteristic
36C2×C3×C4×Dic5C2211yescharacteristic
37#91575C22116yescomplemented
38Dic3×C22⋊D5C22116yes—
39C2×Dic3⋊Dic5C2212yes—
40C2×#6669C2212yes—
41C2×#6668C2212yes—
42C2×#6668C2212yes—
43C2×#6665C2212yes—
44C2×Dic3×Dic5C2212yes—
45#91421C22116yescomplemented
46#91376C2218yescomplemented
47#91359C2218yescomplemented
48Dic5×Dic6C2218yescomplemented
49#91329C22116yescomplemented
50C2×D4×Dic6—51nomaximal, Hall
51C23×C5×Q8—31no—
52C22×Q8×D5—31no—
53Q8×C22⋊D5—316no—
54C2×#4092—32no—
55C2×#4092—31no—
56C2×Q8×Dic5—31no—
57C2×#4090—32no—
58C2×#4090—31no—
59C2×C4×C22⋊D5—32no—
60C2×C4×C22⋊D5D311yescharacteristic
61C2×#4070—31no—
62C2×#4070—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×Dic15C2312yes—
70C22×Dic15C2312yes—
71C2×Dic30—24no—
72C2×Dic30C2314yes—
73C22×C5×Dic3—28no—
74C22×C5×Dic3C2312yes—
75C22×C5×Dic3C2318yes—
76C22×C5×Dic3C2312yes—
77C2×C5×Dic6—24no—
78C2×C5×Dic6—28no—
79C2×C5×Dic6—232no—
80C2×C5×Dic6D418yescomplemented
81C2×C5×Dic6C2318yes—
82C2×C5×Dic6C2314yes—
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—
96#6719C2318yes—
97C4⋊Dic15C2314yes—
98#6712C2318yes—
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×Dic6D511yescharacteristic, complemented
111C2×C3×C4×D4—51no—
112C2×D4×Dic3—52no—
113C2×#924—51no—
114C2×#924—51no—
115D4×Dic6—516no—
116C2×#888—52no—
117C2×#878—52no—
118C2×#878—52no—
119C2×#869—51no—
120C2×C4×Dic6—51no—
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⋊D5C2×D311yescharacteristic
129C2×Q8×D5—38no—
130C2×Q8×D5—68no—
131C22×C4×D5—32no—
132C22×C4×D5C2×D311yescharacteristic
133C22×Dic10—31no—
134C22×Dic10—32no—
135C2×C22⋊Dic5—32no—
136C2×C22⋊Dic5C2×D311yescharacteristic
137#4092—38no—
138#4092—316no—
139Q8×Dic5—38no—
140#4090—316no—
141#4090—38no—
142C4×C22⋊D5—316no—
143C4×C22⋊D5C2×D318yes—
144C2×#685—32no—
145C2×#685C2×D311yescharacteristic
146C2×C4⋊Dic5—31no—
147C2×C4⋊Dic5—32no—
148#4070—38no—
149#4070—316no—
150C2×#683—32no—
151C2×#683—32no—
152C2×#683—32no—
153C2×#683—32no—
154C2×#683C2×D311yescharacteristic
155C2×C4×Dic5—32no—
156C2×C4×Dic5C2×D311yescharacteristic
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—24no—
174C2×Dic15C2414yes—
175C2×Dic15C2414yes—
176Dic30—28no—
177C2×C5×Dic3—24no—
178C2×C5×Dic3—216no—
179C2×C5×Dic3C2×D418yes—
180C2×C5×Dic3C2414yes—
181C2×C5×Dic3C2414yes—
182C5×Dic6—28no—
183C5×Dic6—216no—
184C5×Dic6C2×D4116yescomplemented
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×Dic3C2×D512yes—
200C22×Dic6—28no—
201C22×Dic6—51no—
202C22×Dic6—52no—
203C22×Dic6—58no—
204C22×Dic6—108no—
205C22×Dic6C2×D511yescharacteristic
206C22×Dic6C2×D512yes—
207C22×Dic6C2×D511yescharacteristic
208C22×Dic6C2×D518yescomplemented
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×#217—52no—
216D4×Dic3—516no—
217C2×C4⋊Dic3—51no—
218C2×C4⋊Dic3—52no—
219C2×C4⋊Dic3—52no—
220#924—58no—
221#924—58no—
222C2×Dic3⋊C4—52no—
223C2×Dic3⋊C4—52no—
224C2×Dic3⋊C4—52no—
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—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⋊D5Dic618yesdirect product factor
249C2×C22⋊D5C22×D314yes—
250C22×Dic5—32no—
251C22×Dic5—32no—
252C22×Dic5C22×D311yescharacteristic
253C22×Dic5C22×D311yescharacteristic
254C22×Dic5C22×D311yescharacteristic
255Q8×D5—632no—
256C2×C4×D5—24no—
257C2×C4×D5—38no—
258C2×C4×D5—68no—
259C2×C4×D5C22×D314yes—
260C2×Dic10—34no—
261C2×Dic10—38no—
262C2×Dic10—68no—
263C2×Dic10—64no—
264C22⋊Dic5—38no—
265C22⋊Dic5C22×D314yes—
266#685—38no—
267#685C22×D314yes—
268C4⋊Dic5—34no—
269C4⋊Dic5—38no—
270#683—38no—
271#683—38no—
272#683—38no—
273#683—38no—
274#683C22×D314yes—
275C4×Dic5—38no—
276C4×Dic5C22×D314yes—
277C23×Q8—31no—
278C23×Q8—151no—
279D4×Q8—1516no—
280C2×C4⋊Q8—151no—
281C2×C4⋊Q8—152no—
282C2×C22⋊Q8—152no—
283C2×C22⋊Q8—152no—
284C2×C22⋊Q8—151no—
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—
304Dic15—24no—
305C3×Dic5—22no—
306C3×Dic5—22no—
307C3×Dic5C22×Q814yescomplemented
308C5×Dic3—24no—
309C5×Dic3C22×D418yes—
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—28no—
324C22×Dic3—52no—
325C22×Dic3—52no—
326C22×Dic3—58no—
327C22×Dic3—108no—
328C22×Dic3C22×D518yes—
329C22×Dic3C22×D512yes—
330C22×Dic3C22×D512yes—
331C2×Dic6—24no—
332C2×Dic6—28no—
333C2×Dic6—232no—
334C2×Dic6—54no—
335C2×Dic6—58no—
336C2×Dic6—104no—
337C2×Dic6—108no—
338C2×Dic6—1032no—
339C2×Dic6C22⋊D518yesdirect product factor
340C2×Dic6C22×D514yes—
341C2×Dic6C22×D518yes—
342C2×Dic6C22×D514yes—
343C3×C4⋊C4—54no—
344C3×C22⋊C4—54no—
345C3×C22⋊C4—54no—
346C3×C42—54no—
347#217—58no—
348#217—58no—
349C4⋊Dic3—54no—
350C4⋊Dic3—58no—
351C4⋊Dic3—58no—
352Dic3⋊C4—58no—
353Dic3⋊C4—58no—
354Dic3⋊C4—58no—
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—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⋊D5C2×Dic6116yesdirect product factor
379C2×Dic5—22no—
380C2×Dic5—22no—
381C2×Dic5—34no—
382C2×Dic5—34no—
383C2×Dic5—64no—
384C2×Dic5—64no—
385C2×Dic5C2×Dic614yescomplemented
386C2×Dic5C23×D312yes—
387C2×Dic5C23×D312yes—
388C2×Dic5C23×D312yes—
389C4×D5—28no—
390C4×D5—616no—
391Dic10—616no—
392Dic10—68no—
393C22×Q8—31no—
394C22×Q8—32no—
395C22×Q8—31no—
396C22×Q8—38no—
397C22×Q8—68no—
398C22×Q8—152no—
399C22×Q8—158no—
400C22×Q8—151no—
401C22×Q8—308no—
402C22×D4—51no—
403C23×C4—32no—
404C23×C4—51no—
405C23×C4—152no—
406C23×C4D3×D511yescharacteristic
407C4⋊Q8—158no—
408C4⋊Q8—1516no—
409C22⋊Q8—1516no—
410C22⋊Q8—1516no—
411C22⋊Q8—158no—
412C22⋊Q8—158no—
413C4×Q8—158no—
414C4×D4—58no—
415C4×D4—1516no—
416C2×C4⋊C4—51no—
417C2×C4⋊C4—152no—
418C2×C4⋊C4—152no—
419C2×C4⋊C4—152no—
420C2×C4⋊C4—152no—
421C2×C4⋊C4—151no—
422C2×C4⋊C4—152no—
423C2×C22⋊C4—51no—
424C2×C22⋊C4—51no—
425C2×C22⋊C4—152no—
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×C4C2×C22⋊D514yes—
455C2×C3×C4C23×D512yes—
456C2×C3×C4C23×D512yes—
457C2×Dic3—24no—
458C2×Dic3—216no—
459C2×Dic3—54no—
460C2×Dic3—54no—
461C2×Dic3—104no—
462C2×Dic3—104no—
463C2×Dic3—1016no—
464C2×Dic3C2×C22⋊D518yes—
465C2×Dic3C23×D514yes—
466C2×Dic3C23×D514yes—
467Dic6—28no—
468Dic6—216no—
469Dic6—108no—
470Dic6—1016no—
471Dic6C2×C22⋊D5116yesdirect product factor
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—38no—
486C4×C5—64no—
487C4×C5C2×D3×D414yes—
488Dic5—22no—
489Dic5—22no—
490Dic5—64no—
491Dic5—64no—
492Dic5C22×Dic614yescomplemented
493C24—51no—
494C24C2×D3×D511yescharacteristic
495C2×Q8—38no—
496C2×Q8—34no—
497C2×Q8—38no—
498C2×Q8—34no—
499C2×Q8—68no—
500C2×Q8—632no—
501C2×Q8—64no—
502C2×Q8—158no—
503C2×Q8—154no—
504C2×Q8—308no—
505C2×Q8—3032no—
506C2×Q8—304no—
507C2×D4—58no—
508C2×D4—54no—
509C22×C4—24no—
510C22×C4—32no—
511C22×C4—38no—
512C22×C4—32no—
513C22×C4—51no—
514C22×C4—51no—
515C22×C4—51no—
516C22×C4—54no—
517C22×C4—68no—
518C22×C4—104no—
519C22×C4—158no—
520C22×C4—152no—
521C22×C4—152no—
522C22×C4—308no—
523C22×C4C2×D3×D514yes—
524C22×C4C2×D3×D511yescharacteristic
525C22×C4C2×D3×D511yescharacteristic
526C4⋊C4—54no—
527C4⋊C4—158no—
528C4⋊C4—158no—
529C4⋊C4—158no—
530C4⋊C4—158no—
531C4⋊C4—154no—
532C4⋊C4—158no—
533C22⋊C4—54no—
534C22⋊C4—54no—
535C22⋊C4—158no—
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×Q8×D512yes—
548C22×C3C2×Q8×D514yescomplemented
549C22×C3#414712yes—
550C22×C3C22×C22⋊D512yes—
551C22×C3C24×D511yescharacteristic
552C3×C4—22no—
553C3×C4—54no—
554C3×C4—102no—
555C3×C4—102no—
556C3×C4C22×C22⋊D514yes—
557Dic3—24no—
558Dic3—104no—
559Dic3—104no—
560Dic3C22×C22⋊D518yes—
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—316no—
577Q8—616no—
578Q8—68no—
579Q8—3016no—
580Q8—308no—
581D4—516no—
582C2×C4—22no—
583C2×C4—28no—
584C2×C4—38no—
585C2×C4—34no—
586C2×C4—34no—
587C2×C4—54no—
588C2×C4—52no—
589C2×C4—52no—
590C2×C4—52no—
591C2×C4—616no—
592C2×C4—64no—
593C2×C4—102no—
594C2×C4—102no—
595C2×C4—108no—
596C2×C4—154no—
597C2×C4—154no—
598C2×C4—3016no—
599C2×C4—304no—
600C2×C4—304no—
601C2×C4D3×C22⋊D514yes—
602C2×C4C22×D3×D512yes—
603C2×C4C22×D3×D512yes—
604C2×C3—24no—
605C2×C3—104no—
606C2×C3Q8×C22⋊D514yescomplemented
607C2×C3C22×Q8×D511yescharacteristic
608C2×C3C2×#414711yescharacteristic
609C2×C3C23×C22⋊D511yescharacteristic
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#9200012yes—
621C22C2×D3×C22⋊D512yes—
622C22C23×D3×D511yescharacteristic
623C4—22no—
624C4—38no—
625C4—54no—
626C4—64no—
627C4—102no—
628C4—102no—
629C4—304no—
630C4—304no—
631C4C2×D3×C22⋊D514yes—
632C3C2×Q8×C22⋊D511yescharacteristic, complemented, Sylow
633C2—24no—
634C2—104no—
635C2Dic6×C22⋊D514yesdirect product factor
636C2C22×D5×Dic611yescharacteristic
637C2C2×#9200011yescharacteristic
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×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×C5×Dic6C2semidirect
2. C22×D5×Dic6C2semidirect
3. C2×#91813C2semidirect
5. C2×#91575C2semidirect
7. Dic6×C22⋊D5C2direct (N × H)
8. C2×#91421C2semidirect
9. C2×#91376C2semidirect
10. C2×#91359C2semidirect
11. C2×Dic5×Dic6C2semidirect
12. C2×#91329C2semidirect
21. C22×C5×Dic6C22semidirect
27. C2×D5×Dic6C22semidirect
30. #91813C22semidirect
37. #91575C22semidirect
45. #91421C22semidirect
46. #91376C22semidirect
47. #91359C22semidirect
48. Dic5×Dic6C22semidirect
49. #91329C22semidirect
80. C2×C5×Dic6D4semidirect
84. C2×C3×C22⋊D5Q8semidirect
110. C23×Dic6D5semidirect
160. C23×C3×C5C2×Q8semidirect
165. C22×C3×D5C2×Q8semidirect
184. C5×Dic6C2×D4semidirect
185. C3×C22⋊D5C2×Q8semidirect
188. C2×C3×Dic5C2×Q8semidirect
208. C22×Dic6C2×D5semidirect
248. C2×C22⋊D5Dic6direct (N × H)
294. C22×C3×C5C22×Q8semidirect
300. C2×C3×D5C22×Q8semidirect
307. C3×Dic5C22×Q8semidirect
339. C2×Dic6C22⋊D5direct (N × H)
358. C23×C5C2×Dic6semidirect
363. C22×D5C2×Dic6semidirect
378. C22⋊D5C2×Dic6direct (N × H)
385. C2×Dic5C2×Dic6semidirect
430. C2×C3×C5D4×Q8semidirect
441. C23×C3Q8×D5semidirect
471. Dic6C2×C22⋊D5direct (N × H)
476. C22×C5C22×Dic6semidirect
483. C2×D5C22×Dic6semidirect
492. Dic5C22×Dic6semidirect
539. C3×C5C2×D4×Q8semidirect
548. C22×C3C2×Q8×D5semidirect
562. C2×C5D4×Dic6semidirect
573. C23D5×Dic6semidirect
606. C2×C3Q8×C22⋊D5semidirect
610. C5C2×D4×Dic6semidirect
619. C22C2×D5×Dic6semidirect
632. C3C2×Q8×C22⋊D5semidirect
635. C2Dic6×C22⋊D5direct (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×D5×Dic62
C2×#918132
C2×C3×C4×C22⋊D52
C2×#915752
C2×Dic3×C22⋊D52
Dic6×C22⋊D52
C2×#914212
C2×#913762
C2×#913592
C2×Dic5×Dic62
C2×#913292
C2×Q8×C22⋊D53
C2×D4×Dic65