Finite Group Databasebeta

← C2×#11755165 #14482933

Subgroups — C2×#11755165 #14482933

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
2C22×D5×Dic6C211yesmaximal, characteristic, complemented
3C2×C5×#944C211yesmaximal, characteristic, complemented
4C2×C3×#4092C211yesmaximal, characteristic, complemented
5#11755165C2116yesmaximal, direct product factor
6C2×C4×#1202C211yesmaximal, characteristic
7C2×#91431C212yesmaximal, complemented
8C2×#91396C212yesmaximal
9C2×#91383C211yesmaximal, characteristic, complemented
10C2×#91377C212yesmaximal, complemented
11C2×#91340C211yesmaximal, characteristic, complemented
12C2×#91328C212yesmaximal, complemented
13C2×#66061—31nomaximal, Hall
14C22×C3×C5×Q8C2211yescharacteristic
15C2×Q8×D15—28no—
16C2×Q8×D15C2218yescomplemented
17C22×C4×D15C2212yes—
18C22×C4×D15C2211yescharacteristic
19C22×Dic30C2212yes—
20C22×Dic30C2211yescharacteristic
21C22×C5×Dic6C2211yescharacteristic
22C22×C3×C4×D5C2211yescharacteristic
23C22×#1204C2212yes—
24C22×#1202C2211yescharacteristic
25C22×D5×Dic3C2212yes—
26C2×D5×Dic6—28no—
27C2×D5×Dic6C2218yescomplemented
28C5×#944C2218yescomplemented
29C2×C5×Dic3⋊C4C2212yes—
30C2×C5×Dic3⋊C4C2212yes—
31C2×C4×C5×Dic3C2211yescharacteristic
32C3×#4092C2218yescomplemented
33C2×C3×#685C2212yes—
34C2×C3×C4⋊Dic5C2211yescharacteristic
35C2×C3×#683C2212yes—
36C2×Dic3⋊Dic5C2211yescharacteristic
37C2×#6669C2212yes—
38C2×#6668C2212yes—
39C2×#6667C2211yescharacteristic
40C2×#6667C2212yes—
41C2×#6665C2211yescharacteristic
42C2×Dic3×Dic5C2212yes—
43C4×#1202C2218yes—
44#91431C22116yescomplemented
45#91396C22116yes—
46#91383C2218yescomplemented
47#91377C22116yescomplemented
48#91340C2218yescomplemented
49#91328C22116yescomplemented
50C2×#5632—51nomaximal, Hall
51C22×Q8×D5—31no—
52C22×Q8×D5—31no—
53C2×C5×C4⋊Q8—31no—
54C2×#4092—31no—
55C2×#4092D311yescharacteristic, complemented
56#66061—316no—
57C2×#4042—32no—
58C2×#4042—32no—
59C2×#4039—32no—
60C2×#4034—32no—
61C2×C4×D20—31no—
62C2×C4×Dic10—31no—
63C23×D15C2311yescharacteristic
64C23×C3×D5C2311yescharacteristic
65C2×C3×C5×Q8—24no—
66C2×C3×C5×Q8C2314yes—
67C22×C3×C4×C5C2312yes—
68C22×C3×C4×C5C2311yescharacteristic
69C22×Dic15C2311yescharacteristic
70C22×Dic15C2312yes—
71Q8×D15—232no—
72C2×C4×D15—24no—
73C2×C4×D15—28no—
74C2×C4×D15C2318yes—
75C2×C4×D15C2314yes—
76C2×Dic30—28no—
77C2×Dic30D418yescomplemented
78C2×Dic30C2318yes—
79C2×Dic30C2314yes—
80C22×C5×Dic3C2311yescharacteristic
81C22×C5×Dic3C2312yes—
82C22×C5×Dic3C2311yescharacteristic
83C2×C5×Dic6—24no—
84C2×C5×Dic6C2314yes—
85C22×C3×Dic5C2312yes—
86C22×C3×Dic5C2311yescharacteristic
87C2×C3×C4×D5—24no—
88C2×C3×C4×D5C2314yes—
89C2×#1204—28no—
90C2×#1204C2318yes—
91C2×#1202Q818yescomplemented
92C2×#1202C2314yes—
93C2×D5×Dic3—28no—
94C2×D5×Dic3C2318yes—
95D5×Dic6—232no—
96C5×Dic3⋊C4C2318yes—
97C5×Dic3⋊C4C2318yes—
98C4×C5×Dic3C2314yes—
99C3×#685C2318yes—
100C3×C4⋊Dic5C2314yes—
101C3×#683C2318yes—
102Dic3⋊Dic5C2314yes—
103#6669C2318yes—
104#6668C2318yes—
105#6667C2318yes—
106#6667C2314yes—
107#6665C2314yes—
108Dic3×Dic5C2318yes—
109C22×D3×Q8—51no—
110C23×Dic6—51no—
111C2×C3×C22⋊Q8—51no—
112C2×#944D511yescharacteristic, complemented
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×Q8C2×D311yescharacteristic
123C2×Q8×D5—38no—
124C2×Q8×D5—38no—
125C2×Q8×D5—68no—
126C2×Q8×D5—68no—
127C22×D20—31no—
128C22×C4×D5—32no—
129C22×C4×D5—31no—
130C22×C4×D5—32no—
131C22×C4×D5C2×D311yescharacteristic
132C22×Dic10—31no—
133C22×Dic10—32no—
134C22×Dic10—32no—
135C5×C4⋊Q8—38no—
136C2×C5×C4⋊C4—32no—
137C2×C5×C4⋊C4—32no—
138C2×C42×C5—31no—
139#4092—38no—
140#4092C2×D318yescomplemented
141C2×#685—31no—
142C2×#685—31no—
143C2×#685—32no—
144C2×#685C2×D312yes—
145C2×C4⋊Dic5—31no—
146C2×C4⋊Dic5C2×D311yescharacteristic
147C2×#683—32no—
148C2×#683—32no—
149C2×#683C2×D312yes—
150C2×C4×Dic5—32no—
151#4042—316no—
152#4042—316no—
153#4039—316no—
154#4034—316no—
155C4×D20—38no—
156C4×Dic10—38no—
157C2×D4×Q8—151noSylow
158C23×C3×C5C2411yescharacteristic
159C22×D15—22no—
160C22×D15—22no—
161C22×D15C2×Q814yescomplemented
162C22×D15C2412yes—
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—22no—
173C2×Dic15C2×D418yes—
174C2×Dic15C2412yes—
175C2×Dic15C2414yes—
176C4×D15—28no—
177C4×D15—216no—
178Dic30—216no—
179Dic30C2×D4116yescomplemented
180C2×C5×Dic3—24no—
181C2×C5×Dic3—22no—
182C2×C5×Dic3C2×Q814yescomplemented
183C2×C5×Dic3C2412yes—
184C2×C5×Dic3C2414yes—
185C2×C5×Dic3C2412yes—
186C5×Dic6—28no—
187C2×C3×Dic5—22no—
188C2×C3×Dic5—24no—
189C2×C3×Dic5C2414yes—
190C2×C3×Dic5C2412yes—
191C3×C4×D5—28no—
192#1204—216no—
193#1202C2×Q8116yescomplemented
194D5×Dic3—216no—
195C22×C3×Q8C2×D511yescharacteristic
196C23×C3×C4—51no—
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—52no—
205C22×Dic6—52no—
206C22×Dic6—58no—
207C22×Dic6—108no—
208C22×Dic6C2×D511yescharacteristic
209C3×C22⋊Q8—58no—
210C2×C3×C4⋊C4—51no—
211C2×C3×C4⋊C4—52no—
212C2×C3×C22⋊C4—52no—
213C2×#217—51no—
214#944C2×D518yescomplemented
215C4×#67—58no—
216C2×(C2×D3)⋊C4—52no—
217C2×(C2×D3)⋊C4—51no—
218C2×C4⋊Dic3—52no—
219C2×Dic3⋊C4—52no—
220C2×Dic3⋊C4—51no—
221C2×Dic3⋊C4C2×D512yes—
222C2×Dic3⋊C4C2×D512yes—
223C2×C4×Dic3—52no—
224C2×C4×Dic3C2×D511yescharacteristic
225#897—58no—
226#896—516no—
227#888—516no—
228#887—58no—
229#67⋊C4—516no—
230#878—516no—
231C23×D5—31no—
232C23×D5C22×D311yescharacteristic
233C2×C5×Q8—24no—
234C2×C5×Q8—34no—
235C2×C5×Q8—64no—
236C2×C5×Q8C22×D314yes—
237C22×C4×C5—31no—
238C22×C4×C5—31no—
239C22×C4×C5—32no—
240C22×C4×C5C22×D312yes—
241C22×C4×C5C22×D311yescharacteristic
242C22×Dic5—32no—
243C22×Dic5—31no—
244C22×Dic5C22×D311yescharacteristic
245C22×Dic5C22×D312yes—
246Q8×D5—632no—
247Q8×D5—632no—
248C2×D20—38no—
249C2×D20—34no—
250C2×C4×D5—24no—
251C2×C4×D5—38no—
252C2×C4×D5—34no—
253C2×C4×D5—38no—
254C2×C4×D5—68no—
255C2×C4×D5—68no—
256C2×C4×D5—64no—
257C2×C4×D5C22×D314yes—
258C2×Dic10—38no—
259C2×Dic10—34no—
260C2×Dic10—38no—
261C2×Dic10—38no—
262C2×Dic10—68no—
263C2×Dic10—68no—
264C5×C4⋊C4—38no—
265C5×C4⋊C4—38no—
266C42×C5—34no—
267#685—34no—
268#685—34no—
269#685—38no—
270#685C22×D318yes—
271C4⋊Dic5—34no—
272C4⋊Dic5C22×D314yes—
273#683—38no—
274#683—38no—
275#683C22×D318yes—
276C4×Dic5—38no—
277C23×Q8—151no—
278C23×Q8—151no—
279D4×Q8—1516no—
280C2×C4⋊Q8—31no—
281C2×C4⋊Q8—152no—
282C2×C22⋊Q8—51no—
283C2×C22⋊Q8—152no—
284C2×C22⋊Q8—152no—
285C2×C22⋊Q8—151no—
286C2×C4×Q8—151no—
287C2×C4×D4—151no—
288C2×C4×D4—152no—
289C22×C3×C5C22×D412yes—
290C22×C3×C5C22×Q812yes—
291C22×C3×C52−1+412yes—
292C22×C3×C5C2511yescharacteristic
293C2×D15—28no—
294C2×D15—22no—
295C2×D15—22no—
296C2×D15C22×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—22no—
304Dic15C22×D418yes—
305C3×Dic5—22no—
306C3×Dic5—24no—
307C5×Dic3—24no—
308C5×Dic3—22no—
309C5×Dic3C22×Q814yescomplemented
310C24×C3—51no—
311C23×D3—51no—
312C2×C3×Q8—24no—
313C2×C3×Q8C22×D514yes—
314C22×C3×C4—52no—
315C22×C3×C4—51no—
316C22×C3×C4—54no—
317C22×C3×C4—104no—
318C22×C3×C4C22×D512yes—
319C22×C3×C4C22×D511yescharacteristic
320C2×#67—58no—
321C2×#67—54no—
322C22×Dic3—52no—
323C22×Dic3—51no—
324C22×Dic3—58no—
325C22×Dic3—108no—
326C22×Dic3C22×D511yescharacteristic
327C22×Dic3C22×D512yes—
328C22×Dic3C22×D511yescharacteristic
329D3×Q8—1032no—
330C2×C4×D3—58no—
331C2×C4×D3—54no—
332C2×C4×D3—108no—
333C2×C4×D3—104no—
334C2×Dic6—24no—
335C2×Dic6—58no—
336C2×Dic6—54no—
337C2×Dic6—58no—
338C2×Dic6—58no—
339C2×Dic6—1032no—
340C2×Dic6—108no—
341C2×Dic6—108no—
342C2×Dic6C22×D514yes—
343C3×C4⋊C4—58no—
344C3×C4⋊C4—54no—
345C3×C22⋊C4—58no—
346#217—54no—
347(C2×D3)⋊C4—58no—
348(C2×D3)⋊C4—54no—
349C4⋊Dic3—58no—
350Dic3⋊C4—58no—
351Dic3⋊C4—54no—
352Dic3⋊C4C22×D518yes—
353Dic3⋊C4C22×D518yes—
354C4×Dic3—58no—
355C4×Dic3C22×D514yes—
356C23×C5C23×D311yescharacteristic
357C22×D5—22no—
358C22×D5—22no—
359C22×D5—34no—
360C22×D5—32no—
361C22×D5—62no—
362C22×D5—62no—
363C22×D5D3×Q814yescomplemented
364C22×D5C23×D312yes—
365C5×Q8—28no—
366C5×Q8—68no—
367C2×C4×C5—24no—
368C2×C4×C5—34no—
369C2×C4×C5—32no—
370C2×C4×C5—32no—
371C2×C4×C5—34no—
372C2×C4×C5—64no—
373C2×C4×C5—62no—
374C2×C4×C5D3×D414yes—
375C2×C4×C5C23×D314yes—
376C2×C4×C5C23×D312yes—
377C2×Dic5—22no—
378C2×Dic5—24no—
379C2×Dic5—38no—
380C2×Dic5—34no—
381C2×Dic5—32no—
382C2×Dic5—62no—
383C2×Dic5C23×D314yes—
384C2×Dic5C23×D312yes—
385D20—316no—
386C4×D5—28no—
387C4×D5—616no—
388C4×D5—616no—
389C4×D5—68no—
390Dic10—316no—
391Dic10—616no—
392Dic10—616no—
393C22×Q8—31no—
394C22×Q8—152no—
395C22×Q8—158no—
396C22×Q8—158no—
397C22×Q8—151no—
398C22×Q8—152no—
399C22×Q8—308no—
400C22×Q8—308no—
401C22×Q8D3×D511yescharacteristic
402C22×D4—151no—
403C23×C4—51no—
404C23×C4—152no—
405C23×C4—152no—
406C23×C4—151no—
407C4⋊Q8—38no—
408C4⋊Q8—1516no—
409C22⋊Q8—58no—
410C22⋊Q8—1516no—
411C22⋊Q8—1516no—
412C22⋊Q8—158no—
413C4×Q8—158no—
414C4×D4—158no—
415C4×D4—1516no—
416C2×C4⋊C4—32no—
417C2×C4⋊C4—32no—
418C2×C4⋊C4—51no—
419C2×C4⋊C4—52no—
420C2×C4⋊C4—151no—
421C2×C4⋊C4—152no—
422C2×C4⋊C4—152no—
423C2×C22⋊C4—52no—
424C2×C22⋊C4—151no—
425C2×C22⋊C4—152no—
426C2×C22⋊C4—151no—
427C2×C42—31no—
428C2×C42—152no—
429C2×C3×C5D4×Q814yescomplemented
430C2×C3×C5C23×D411yescharacteristic
431C2×C3×C5C23×Q811yescharacteristic
432C2×C3×C5C2×2−1+411yescharacteristic
433D15—24no—
434C3×D5—24no—
435C23×C3—54no—
436C23×C3—52no—
437C23×C3—102no—
438C23×C3—102no—
439C23×C3C23×D511yescharacteristic
440C22×D3—54no—
441C22×D3—52no—
442C22×D3—102no—
443C22×D3—102no—
444C3×Q8—28no—
445C2×C3×C4—24no—
446C2×C3×C4—54no—
447C2×C3×C4—52no—
448C2×C3×C4—102no—
449C2×C3×C4—104no—
450C2×C3×C4—108no—
451C2×C3×C4D4×D514yes—
452C2×C3×C4C23×D514yes—
453C2×C3×C4C23×D512yes—
454#67—516no—
455C2×Dic3—24no—
456C2×Dic3—22no—
457C2×Dic3—58no—
458C2×Dic3—54no—
459C2×Dic3—52no—
460C2×Dic3—1016no—
461C2×Dic3—102no—
462C2×Dic3Q8×D514yescomplemented
463C2×Dic3C23×D512yes—
464C2×Dic3C23×D514yes—
465C2×Dic3C23×D512yes—
466C4×D3—1016no—
467C4×D3—108no—
468Dic6—28no—
469Dic6—516no—
470Dic6—1016no—
471Dic6—1016no—
472C22×C5C2×D3×D412yes—
473C22×C5C2×D3×Q812yes—
474C22×C5#101012yes—
475C22×C5C24×D311yescharacteristic
476C2×D5—28no—
477C2×D5—22no—
478C2×D5—22no—
479C2×D5—34no—
480C2×D5—68no—
481C2×D5—62no—
482C2×D5—62no—
483C2×D5C2×D3×Q814yescomplemented
484C4×C5—24no—
485C4×C5—34no—
486C4×C5—64no—
487C4×C5—62no—
488C4×C5C2×D3×D414yes—
489Dic5—22no—
490Dic5—24no—
491Dic5—38no—
492Dic5—62no—
493C24—51no—
494C24—151no—
495C2×Q8—24no—
496C2×Q8—34no—
497C2×Q8—64no—
498C2×Q8—158no—
499C2×Q8—158no—
500C2×Q8—154no—
501C2×Q8—158no—
502C2×Q8—308no—
503C2×Q8—308no—
504C2×Q8—3032no—
505C2×Q8—3032no—
506C2×Q8C2×D3×D514yes—
507C2×D4—154no—
508C2×D4—158no—
509C22×C4—31no—
510C22×C4—31no—
511C22×C4—32no—
512C22×C4—52no—
513C22×C4—51no—
514C22×C4—54no—
515C22×C4—104no—
516C22×C4—158no—
517C22×C4—152no—
518C22×C4—151no—
519C22×C4—158no—
520C22×C4—154no—
521C22×C4—308no—
522C22×C4—308no—
523C22×C4—304no—
524C22×C4C2×D3×D512yes—
525C22×C4C2×D3×D511yescharacteristic
526C4⋊C4—38no—
527C4⋊C4—38no—
528C4⋊C4—54no—
529C4⋊C4—58no—
530C4⋊C4—154no—
531C4⋊C4—158no—
532C4⋊C4—158no—
533C22⋊C4—58no—
534C22⋊C4—154no—
535C22⋊C4—158no—
536C22⋊C4—154no—
537C42—34no—
538C42—158no—
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#414712yes—
547C22×C3C24×D511yescharacteristic
548C2×D3—54no—
549C2×D3—108no—
550C2×D3—102no—
551C2×D3—102no—
552C3×C4—24no—
553C3×C4—102no—
554C3×C4—104no—
555C3×C4C2×D4×D514yes—
556Dic3—24no—
557Dic3—22no—
558Dic3—58no—
559Dic3—102no—
560Dic3C2×Q8×D514yescomplemented
561C2×C5#563214yescomplemented
562C2×C5C22×D3×D411yescharacteristic
563C2×C5C22×D3×Q811yescharacteristic
564C2×C5C2×#101011yescharacteristic
565D5—24no—
566D5—64no—
567C23—54no—
568C23—52no—
569C23—102no—
570C23—102no—
571C23—154no—
572C23—152no—
573C23—302no—
574C23—302no—
575C23C22×D3×D511yescharacteristic
576Q8—28no—
577Q8—68no—
578Q8—1516no—
579Q8—3016no—
580Q8—3016no—
581D4—1516no—
582C2×C4—24no—
583C2×C4—34no—
584C2×C4—32no—
585C2×C4—32no—
586C2×C4—34no—
587C2×C4—54no—
588C2×C4—52no—
589C2×C4—62no—
590C2×C4—64no—
591C2×C4—104no—
592C2×C4—102no—
593C2×C4—108no—
594C2×C4—158no—
595C2×C4—154no—
596C2×C4—152no—
597C2×C4—3016no—
598C2×C4—3016no—
599C2×C4—302no—
600C2×C4—308no—
601C2×C4#679014yes—
602C2×C4C22×D3×D514yes—
603C2×C4C22×D3×D512yes—
604C2×C3—104no—
605C2×C3#6606114yescomplemented
606C2×C3C22×D4×D511yescharacteristic
607C2×C3C22×Q8×D511yescharacteristic
608C2×C3C2×#414711yescharacteristic
609D3—104no—
610C5C2×#563211yescharacteristic, complemented, Sylow
611C22—54no—
612C22—102no—
613C22—108no—
614C22—102no—
615C22—154no—
616C22—302no—
617C22—308no—
618C22—302no—
619C22#9202812yes—
620C22D3×Q8×D512yes—
621C22C2×#679012yes—
622C22C23×D3×D511yescharacteristic
623C4—24no—
624C4—34no—
625C4—64no—
626C4—62no—
627C4—102no—
628C4—104no—
629C4—158no—
630C4—302no—
631C4C2×#679014yes—
632C3C2×#6606111yescharacteristic, complemented, Sylow
633C2—104no—
634C2—304no—
635C2#1175516514yesdirect product factor
636C2C2×#9202811yescharacteristic
637C2C2×D3×Q8×D511yescharacteristic
638C2C22×#679011yescharacteristic
subgroupG/H
centerC23C22×D3×D5
commutator, cosocleC22×C3×C5C25
FrattiniC22C23×D3×D5
FittingC22×C3×C5×Q8C22
socleC23×C3×C5C24
prime radicalC22×#1202C22
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×Q8×D15C2semidirect
2. C22×D5×Dic6C2semidirect
3. C2×C5×#944C2semidirect
4. C2×C3×#4092C2semidirect
5. #11755165C2direct (N × H)
7. C2×#91431C2semidirect
9. C2×#91383C2semidirect
10. C2×#91377C2semidirect
11. C2×#91340C2semidirect
12. C2×#91328C2semidirect
16. C2×Q8×D15C22semidirect
27. C2×D5×Dic6C22semidirect
28. C5×#944C22semidirect
32. C3×#4092C22semidirect
44. #91431C22semidirect
46. #91383C22semidirect
47. #91377C22semidirect
48. #91340C22semidirect
49. #91328C22semidirect
55. C2×#4092D3semidirect
77. C2×Dic30D4semidirect
91. C2×#1202Q8semidirect
112. C2×#944D5semidirect
140. #4092C2×D3semidirect
161. C22×D15C2×Q8semidirect
165. C22×C3×D5C2×Q8semidirect
179. Dic30C2×D4semidirect
182. C2×C5×Dic3C2×Q8semidirect
193. #1202C2×Q8semidirect
214. #944C2×D5semidirect
296. C2×D15C22×Q8semidirect
300. C2×C3×D5C22×Q8semidirect
309. C5×Dic3C22×Q8semidirect
363. C22×D5D3×Q8semidirect
429. C2×C3×C5D4×Q8semidirect
462. C2×Dic3Q8×D5semidirect
483. C2×D5C2×D3×Q8semidirect
539. C3×C5C2×D4×Q8semidirect
560. Dic3C2×Q8×D5semidirect
561. C2×C5#5632semidirect
605. C2×C3#66061semidirect
610. C5C2×#5632semidirect
632. C3C2×#66061semidirect
635. C2#11755165direct (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
C22×D5×Dic62
C2×C5×#9442
C2×C3×#40922
#117551652
C2×C4×#12022
C2×#914312
C2×#913962
C2×#913832
C2×#913772
C2×#913402
C2×#913282
C2×#660613
C2×#56325