Finite Group Databasebeta

← C2×#11753672 #14482745

Subgroups — C2×#11753672 #14482745

Order 1920.

3264 conjugacy classes of subgroups.

The subgroup lattice has 656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#6771C212yesmaximal, complemented
2C2×#91782C211yesmaximal, characteristic, complemented
3C2×C5×D3×C4⋊C4C211yesmaximal, characteristic, complemented
4C2×C3×D5×C4⋊C4C211yesmaximal, characteristic, complemented
5C2×#91470C211yesmaximal, characteristic, complemented
6C2×#91460C211yesmaximal, characteristic, complemented
7C2×#91450C211yesmaximal, characteristic, complemented
8C2×C4×#1201C211yesmaximal, characteristic, complemented
9C2×#91377C212yesmaximal, complemented
10C2×#91351C212yesmaximal, complemented
11C2×#91348C212yesmaximal, complemented
12#11753672C2116yesmaximal, direct product factor
13C2×#65841—31nomaximal, Hall
14C22×D60C2211yescharacteristic
15C22×C4×D15C2212yes—
16C22×C4×C5×D3C2211yescharacteristic
17C22×C4×C5×D3C2212yes—
18C22×C3×C4×D5C2211yescharacteristic
19C22×C3×C4×D5C2212yes—
20C22×#1204C2212yes—
21C22×#1203C2212yes—
22C22×#1202C2212yes—
23C22×#1201C2211yescharacteristic
24C2×#6771—216no—
25C2×#6771C22116yescomplemented
26C2×C3×C5×C4⋊C4C2211yescharacteristic
27C2×#6714C2212yes—
28C2×C4×Dic15C2211yescharacteristic
29#91782C2218yescomplemented
30C2×C5×C4⋊Dic3C2211yescharacteristic
31C2×C5×Dic3⋊C4C2212yes—
32C5×D3×C4⋊C4C2218yescomplemented
33C2×C3×C4⋊Dic5C2211yescharacteristic
34C2×C3×#683C2212yes—
35C3×D5×C4⋊C4C2218yescomplemented
36C2×#6669C2211yescharacteristic
37C2×#6669C2212yes—
38C2×#6667C2212yes—
39C2×#6667C2212yes—
40C2×(C2×D3)⋊Dic5C2211yescharacteristic
41C2×#6665C2211yescharacteristic
42#91470C2218yescomplemented
43#91460C2218yescomplemented
44#91450C2218yescomplemented
45C4×#1201C2218yescomplemented
46#91377C22116yescomplemented
47#91351C22116yescomplemented
48#91348C22116yescomplemented
49C2×#5507—51nomaximal, Hall
50C22×#709—32no—
51C22×C5×C4⋊C4—31no—
52C2×#4076—31no—
53C2×#4075—32no—
54C2×C4×C22⋊D5—31no—
55C2×#4042—32no—
56#65841—316no—
57C2×#4041—31no—
58C2×#4040—32no—
59C2×#4039—31no—
60C2×D5×C4⋊C4D311yescharacteristic, complemented
61C2×#4034—31no—
62C23×D15C2312yes—
63C23×C5×D3C2311yescharacteristic
64C23×C3×D5C2311yescharacteristic
65C22×C3×C4×C5C2312yes—
66C22×C3×C4×C5C2311yescharacteristic
67C22×Dic15C2311yescharacteristic
68C22×Dic15C2311yescharacteristic
69C2×D60—24no—
70C2×D60C2314yes—
71C2×C4×D15—28no—
72C2×C4×D15C2318yes—
73C22×C5×Dic3C2311yescharacteristic
74C22×C5×Dic3C2312yes—
75C2×C4×C5×D3—28no—
76C2×C4×C5×D3—24no—
77C2×C4×C5×D3C2314yes—
78C2×C4×C5×D3C2318yes—
79C22×C3×Dic5C2312yes—
80C22×C3×Dic5C2311yescharacteristic
81C2×C3×C4×D5—28no—
82C2×C3×C4×D5—24no—
83C2×C3×C4×D5C2314yes—
84C2×C3×C4×D5C2318yes—
85C2×#1204—28no—
86C2×#1204C2318yes—
87C2×#1203—28no—
88C2×#1203C2318yes—
89C2×#1202—28no—
90C2×#1202C2318yes—
91C2×#1201D418yescomplemented
92C2×#1201C2314yes—
93#6771—264no—
94C3×C5×C4⋊C4C2314yes—
95#6714C2318yes—
96C4×Dic15C2314yes—
97C5×C4⋊Dic3C2314yes—
98C5×Dic3⋊C4C2318yes—
99C3×C4⋊Dic5C2314yes—
100C3×#683C2318yes—
101#6669C2314yes—
102#6669C2318yes—
103#6667C2318yes—
104#6667C2318yes—
105(C2×D3)⋊Dic5C2314yes—
106#6665C2314yes—
107C22×#235—52no—
108C22×C3×C4⋊C4—51no—
109C2×#930—51no—
110C2×#929—52no—
111C2×C4×#67—51no—
112C2×#896—52no—
113#5507—516no—
114C2×#895—51no—
115C2×#894—52no—
116C2×#893—51no—
117C2×D3×C4⋊C4D511yescharacteristic, complemented
118C2×#888—51no—
119C23×C4×C5—31no—
120C23×C4×C5—32no—
121C22×C22⋊D5—31no—
122C22×C22⋊D5—32no—
123C2×#709—316no—
124C2×#709—616no—
125C22×D20—32no—
126C22×D20—31no—
127C22×C4×D5—32no—
128C22×C4×D5C2×D312yes—
129C22×C4×D5C2×D311yescharacteristic
130C22×Dic10—32no—
131C2×C5×C4⋊C4—31no—
132C2×C5×C4⋊C4—32no—
133C2×C5×C4⋊C4—38no—
134C2×C5×C4⋊C4C2×D311yescharacteristic
135C2×C22⋊Dic5—31no—
136#4076—38no—
137#4075—316no—
138C4×C22⋊D5—38no—
139C2×#685—31no—
140C2×#685—32no—
141C2×#685—32no—
142C2×#685—32no—
143C2×C4⋊Dic5C2×D311yescharacteristic
144C2×#683—32no—
145C2×#683—31no—
146C2×#683C2×D312yes—
147C2×C4×Dic5—31no—
148#4042—316no—
149#4041—38no—
150#4040—316no—
151#4039—38no—
152D5×C4⋊C4C2×D318yescomplemented
153#4034—38no—
154C2×#547—151noSylow
155C23×C3×C5C2411yescharacteristic
156C22×D15—24no—
157C22×D15—24no—
158C22×D15—24no—
159C22×D15C2414yes—
160C22×C5×D3—22no—
161C22×C5×D3—22no—
162C22×C5×D3C2×D414yes—
163C22×C5×D3C2412yes—
164C22×C3×D5—22no—
165C22×C3×D5—22no—
166C22×C3×D5C2×D414yes—
167C22×C3×D5C2412yes—
168C2×C3×C4×C5—24no—
169C2×C3×C4×C5#4114yescomplemented
170C2×C3×C4×C5C2414yes—
171C2×C3×C4×C5C2412yes—
172C2×Dic15—22no—
173C2×Dic15C2×D414yes—
174C2×Dic15C2412yes—
175C2×Dic15C2412yes—
176D60—28no—
177C4×D15—216no—
178C2×C5×Dic3—24no—
179C2×C5×Dic3—22no—
180C2×C5×Dic3C2412yes—
181C2×C5×Dic3C2414yes—
182C4×C5×D3—216no—
183C4×C5×D3—28no—
184C2×C3×Dic5—24no—
185C2×C3×Dic5—22no—
186C2×C3×Dic5C2412yes—
187C2×C3×Dic5C2414yes—
188C3×C4×D5—216no—
189C3×C4×D5—28no—
190#1204—216no—
191#1203—216no—
192#1202—216no—
193#1201C2×D4116yescomplemented
194C23×C3×C4—52no—
195C23×C3×C4—51no—
196C22×#67—51no—
197C22×#67—52no—
198C2×#235—516no—
199C2×#235—1016no—
200C22×D12—52no—
201C22×D12—51no—
202C22×C4×D3—52no—
203C22×C4×D3C2×D512yes—
204C22×C4×D3C2×D511yescharacteristic
205C22×Dic6—52no—
206C2×C3×C4⋊C4—51no—
207C2×C3×C4⋊C4—52no—
208C2×C3×C4⋊C4—58no—
209C2×C3×C4⋊C4C2×D511yescharacteristic
210C2×#217—51no—
211#930—58no—
212#929—516no—
213C4×#67—58no—
214C2×(C2×D3)⋊C4—51no—
215C2×(C2×D3)⋊C4—52no—
216C2×(C2×D3)⋊C4—52no—
217C2×(C2×D3)⋊C4—52no—
218C2×C4⋊Dic3C2×D511yescharacteristic
219C2×Dic3⋊C4—52no—
220C2×Dic3⋊C4—51no—
221C2×Dic3⋊C4C2×D512yes—
222C2×C4×Dic3—51no—
223#896—516no—
224#895—58no—
225#894—516no—
226#893—58no—
227D3×C4⋊C4C2×D518yescomplemented
228#888—58no—
229C24×C5—31no—
230C23×D5—32no—
231C23×D5C22×D311yescharacteristic
232C22×C4×C5—32no—
233C22×C4×C5—31no—
234C22×C4×C5—38no—
235C22×C4×C5—34no—
236C22×C4×C5—68no—
237C22×C4×C5—64no—
238C22×C4×C5C22×D312yes—
239C22×C4×C5C22×D311yescharacteristic
240C2×C22⋊D5—38no—
241C2×C22⋊D5—34no—
242C2×C22⋊D5—38no—
243C2×C22⋊D5—68no—
244C22×Dic5—31no—
245C22×Dic5—31no—
246C22×Dic5C22×D311yescharacteristic
247C22×Dic5C22×D312yes—
248#709—664no—
249C2×D20—38no—
250C2×D20—34no—
251C2×D20—68no—
252C2×D20—64no—
253C2×C4×D5—28no—
254C2×C4×D5—24no—
255C2×C4×D5—38no—
256C2×C4×D5—68no—
257C2×C4×D5C22×D318yes—
258C2×C4×D5C22×D314yes—
259C2×Dic10—38no—
260C2×Dic10—68no—
261C5×C4⋊C4—38no—
262C5×C4⋊C4—34no—
263C5×C4⋊C4C22×D314yes—
264C22⋊Dic5—34no—
265#685—34no—
266#685—38no—
267#685—38no—
268#685—38no—
269C4⋊Dic5C22×D314yes—
270#683—38no—
271#683—34no—
272#683C22×D318yes—
273C4×Dic5—34no—
274C22×#41—152no—
275#547—1516no—
276C2×C4⋊Q8—151no—
277C2×#123—152no—
278C2×#123—152no—
279C2×C22⋊Q8—152no—
280C2×#121—151no—
281C2×#121—151no—
282C2×C4×D4—151no—
283C2×C4×D4—151no—
284C22×C4⋊C4—31no—
285C22×C4⋊C4—51no—
286C22×C3×C5C22×D412yes—
287C22×C3×C5C2×#4112yes—
288C22×C3×C52−1+412yes—
289C22×C3×C5C2511yescharacteristic
290C2×D15—24no—
291C2×D15—24no—
292C2×D15—24no—
293C2×D15—48no—
294C2×C5×D3—28no—
295C2×C5×D3—22no—
296C2×C5×D3—22no—
297C2×C5×D3C22×D414yes—
298C2×C3×D5—28no—
299C2×C3×D5—22no—
300C2×C3×D5—22no—
301C2×C3×D5C22×D414yes—
302C3×C4×C5—24no—
303C3×C4×C5C2×#4114yescomplemented
304Dic15—22no—
305Dic15C22×D414yes—
306C3×Dic5—24no—
307C3×Dic5—22no—
308C5×Dic3—24no—
309C5×Dic3—22no—
310C24×C3—51no—
311C23×D3—52no—
312C23×D3C22×D511yescharacteristic
313C22×C3×C4—51no—
314C22×C3×C4—52no—
315C22×C3×C4—54no—
316C22×C3×C4—58no—
317C22×C3×C4—108no—
318C22×C3×C4—104no—
319C22×C3×C4C22×D512yes—
320C22×C3×C4C22×D511yescharacteristic
321C2×#67—58no—
322C2×#67—54no—
323C2×#67—58no—
324C2×#67—108no—
325C22×Dic3—51no—
326C22×Dic3—51no—
327C22×Dic3C22×D511yescharacteristic
328C22×Dic3C22×D512yes—
329#235—1064no—
330C2×D12—58no—
331C2×D12—54no—
332C2×D12—108no—
333C2×D12—104no—
334C2×C4×D3—28no—
335C2×C4×D3—24no—
336C2×C4×D3—58no—
337C2×C4×D3—108no—
338C2×C4×D3C22×D518yes—
339C2×C4×D3C22×D514yes—
340C2×Dic6—58no—
341C2×Dic6—108no—
342C3×C4⋊C4—58no—
343C3×C4⋊C4—54no—
344C3×C4⋊C4C22×D514yes—
345#217—54no—
346(C2×D3)⋊C4—54no—
347(C2×D3)⋊C4—58no—
348(C2×D3)⋊C4—58no—
349(C2×D3)⋊C4—58no—
350C4⋊Dic3C22×D514yes—
351Dic3⋊C4—58no—
352Dic3⋊C4—54no—
353Dic3⋊C4C22×D518yes—
354C4×Dic3—54no—
355C23×C5—34no—
356C23×C5—32no—
357C23×C5—62no—
358C23×C5—62no—
359C23×C5C23×D311yescharacteristic
360C22×D5—22no—
361C22×D5—22no—
362C22×D5—34no—
363C22×D5—64no—
364C22×D5—64no—
365C22×D5—64no—
366C22×D5D3×D414yes—
367C22×D5C23×D312yes—
368C2×C4×C5—24no—
369C2×C4×C5—32no—
370C2×C4×C5—34no—
371C2×C4×C5—616no—
372C2×C4×C5—62no—
373C2×C4×C5—64no—
374C2×C4×C5—68no—
375C2×C4×C5#23514yescomplemented
376C2×C4×C5C23×D314yes—
377C2×C4×C5C23×D312yes—
378C22⋊D5—316no—
379C22⋊D5—616no—
380C2×Dic5—22no—
381C2×Dic5—24no—
382C2×Dic5—34no—
383C2×Dic5—32no—
384C2×Dic5—32no—
385C2×Dic5—62no—
386C2×Dic5C23×D312yes—
387C2×Dic5C23×D314yes—
388D20—616no—
389D20—68no—
390C4×D5—216no—
391C4×D5—28no—
392C4×D5—616no—
393Dic10—616no—
394C2×#41—1516no—
395C2×#41—3016no—
396C22×Q8—152no—
397C22×D4—152no—
398C22×D4—152no—
399C22×D4—151no—
400C22×D4—151no—
401C23×C4—31no—
402C23×C4—32no—
403C23×C4—51no—
404C23×C4—52no—
405C23×C4—152no—
406C4⋊Q8—158no—
407#123—1516no—
408#123—1516no—
409C22⋊Q8—1516no—
410#121—158no—
411#121—158no—
412C4×D4—158no—
413C4×D4—158no—
414C2×C4⋊C4—31no—
415C2×C4⋊C4—32no—
416C2×C4⋊C4—38no—
417C2×C4⋊C4—51no—
418C2×C4⋊C4—52no—
419C2×C4⋊C4—58no—
420C2×C4⋊C4—151no—
421C2×C4⋊C4—152no—
422C2×C4⋊C4D3×D511yescharacteristic
423C2×C22⋊C4—152no—
424C2×C22⋊C4—152no—
425C2×C22⋊C4—151no—
426C2×C22⋊C4—151no—
427C2×C22⋊C4—152no—
428C2×C42—151no—
429C2×C3×C5#54714yescomplemented
430C2×C3×C5C23×D411yescharacteristic
431C2×C3×C5C22×#4111yescharacteristic
432C2×C3×C5C2×2−1+411yescharacteristic
433D15—44no—
434C3×D5—24no—
435C5×D3—24no—
436C23×C3—54no—
437C23×C3—52no—
438C23×C3—102no—
439C23×C3—102no—
440C23×C3C23×D511yescharacteristic
441C22×D3—22no—
442C22×D3—22no—
443C22×D3—54no—
444C22×D3—104no—
445C22×D3—104no—
446C22×D3—104no—
447C22×D3D4×D514yes—
448C22×D3C23×D512yes—
449C2×C3×C4—24no—
450C2×C3×C4—52no—
451C2×C3×C4—54no—
452C2×C3×C4—1016no—
453C2×C3×C4—102no—
454C2×C3×C4—104no—
455C2×C3×C4—108no—
456C2×C3×C4#70914yescomplemented
457C2×C3×C4C23×D514yes—
458C2×C3×C4C23×D512yes—
459#67—516no—
460#67—1016no—
461C2×Dic3—22no—
462C2×Dic3—24no—
463C2×Dic3—54no—
464C2×Dic3—52no—
465C2×Dic3—52no—
466C2×Dic3—102no—
467C2×Dic3C23×D512yes—
468C2×Dic3C23×D514yes—
469D12—1016no—
470D12—108no—
471C4×D3—216no—
472C4×D3—28no—
473C4×D3—1016no—
474Dic6—1016no—
475C22×C5—34no—
476C22×C5—62no—
477C22×C5—62no—
478C22×C5—68no—
479C22×C5C2×#23512yes—
480C22×C5C2×D3×D412yes—
481C22×C5#100712yes—
482C22×C5C24×D311yescharacteristic
483C2×D5—22no—
484C2×D5—22no—
485C2×D5—28no—
486C2×D5—64no—
487C2×D5—64no—
488C2×D5—64no—
489C2×D5—128no—
490C2×D5C2×D3×D414yes—
491C4×C5—24no—
492C4×C5—62no—
493C4×C5—64no—
494C4×C5C2×#23514yescomplemented
495Dic5—22no—
496Dic5—24no—
497Dic5—34no—
498Dic5—62no—
499C24—31no—
500C24—51no—
501C24—152no—
502#41—3064no—
503C2×Q8—158no—
504C2×Q8—308no—
505C2×D4—158no—
506C2×D4—158no—
507C2×D4—154no—
508C2×D4—158no—
509C2×D4—154no—
510C2×D4—308no—
511C2×D4—308no—
512C2×D4—304no—
513C22×C4—31no—
514C22×C4—32no—
515C22×C4—34no—
516C22×C4—38no—
517C22×C4—51no—
518C22×C4—52no—
519C22×C4—54no—
520C22×C4—58no—
521C22×C4—68no—
522C22×C4—64no—
523C22×C4—108no—
524C22×C4—104no—
525C22×C4—151no—
526C22×C4—151no—
527C22×C4—158no—
528C22×C4—308no—
529C22×C4C2×D3×D512yes—
530C22×C4C2×D3×D511yescharacteristic
531C4⋊C4—34no—
532C4⋊C4—38no—
533C4⋊C4—54no—
534C4⋊C4—58no—
535C4⋊C4—154no—
536C4⋊C4—158no—
537C4⋊C4C2×D3×D514yes—
538C22⋊C4—158no—
539C22⋊C4—158no—
540C22⋊C4—154no—
541C22⋊C4—154no—
542C22⋊C4—158no—
543C42—154no—
544C3×C5C2×#54711yescharacteristic, complemented, Hall
545C22×C3—54no—
546C22×C3—108no—
547C22×C3—102no—
548C22×C3—102no—
549C22×C3C2×#70912yes—
550C22×C3C2×D4×D512yes—
551C22×C3#414712yes—
552C22×C3C24×D511yescharacteristic
553C2×D3—28no—
554C2×D3—22no—
555C2×D3—22no—
556C2×D3—104no—
557C2×D3—104no—
558C2×D3—104no—
559C2×D3—208no—
560C2×D3C2×D4×D514yes—
561C3×C4—24no—
562C3×C4—102no—
563C3×C4—104no—
564C3×C4C2×#70914yescomplemented
565Dic3—22no—
566Dic3—24no—
567Dic3—54no—
568Dic3—102no—
569C2×C5—64no—
570C2×C5#550714yescomplemented
571C2×C5C22×#23511yescharacteristic
572C2×C5C22×D3×D411yescharacteristic
573C2×C5C2×#100711yescharacteristic
574D5—24no—
575D5—124no—
576C23—34no—
577C23—32no—
578C23—54no—
579C23—52no—
580C23—62no—
581C23—62no—
582C23—102no—
583C23—102no—
584C23—154no—
585C23—304no—
586C23—304no—
587C23—304no—
588C23C22×D3×D511yescharacteristic
589Q8—3016no—
590D4—1516no—
591D4—3016no—
592D4—3016no—
593D4—308no—
594C2×C4—24no—
595C2×C4—32no—
596C2×C4—34no—
597C2×C4—52no—
598C2×C4—54no—
599C2×C4—616no—
600C2×C4—62no—
601C2×C4—64no—
602C2×C4—68no—
603C2×C4—1016no—
604C2×C4—102no—
605C2×C4—104no—
606C2×C4—108no—
607C2×C4—154no—
608C2×C4—152no—
609C2×C4—152no—
610C2×C4—3016no—
611C2×C4—302no—
612C2×C4#677114yescomplemented
613C2×C4C22×D3×D514yes—
614C2×C4C22×D3×D512yes—
615C2×C3—104no—
616C2×C3#6584114yescomplemented
617C2×C3C22×#70911yescharacteristic
618C2×C3C22×D4×D511yescharacteristic
619C2×C3C2×#414711yescharacteristic
620D3—24no—
621D3—204no—
622C5C2×#550711yescharacteristic, complemented, Sylow
623C22—34no—
624C22—54no—
625C22—68no—
626C22—62no—
627C22—62no—
628C22—108no—
629C22—102no—
630C22—102no—
631C22—304no—
632C22—304no—
633C22—304no—
634C22—608no—
635C22C2×#677112yes—
636C22D3×D4×D512yes—
637C22#9202912yes—
638C22C23×D3×D511yescharacteristic
639C4—24no—
640C4—62no—
641C4—64no—
642C4—102no—
643C4—104no—
644C4—154no—
645C4—302no—
646C4C2×#677114yescomplemented
647C3C2×#6584111yescharacteristic, complemented, Sylow
648C2—64no—
649C2—104no—
650C2—604no—
651C2#1175367214yesdirect product factor
652C2C22×#677111yescharacteristic
653C2C2×D3×D4×D511yescharacteristic
654C2C2×#9202911yescharacteristic
subgroupG/H
centerC23C22×D3×D5
commutator, cosocleC22×C3×C5C25
FrattiniC22C23×D3×D5
FittingC2×C3×C5×C4⋊C4C22
socleC23×C3×C5C24
hypercenterC2×C4⋊C4D3×D5
hypocenterC3×C5C2×#547
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C22×#6771C2semidirect
2. C2×#91782C2semidirect
3. C2×C5×D3×C4⋊C4C2semidirect
4. C2×C3×D5×C4⋊C4C2semidirect
5. C2×#91470C2semidirect
6. C2×#91460C2semidirect
7. C2×#91450C2semidirect
8. C2×C4×#1201C2semidirect
9. C2×#91377C2semidirect
10. C2×#91351C2semidirect
11. C2×#91348C2semidirect
12. #11753672C2direct (N × H)
25. C2×#6771C22semidirect
29. #91782C22semidirect
32. C5×D3×C4⋊C4C22semidirect
35. C3×D5×C4⋊C4C22semidirect
42. #91470C22semidirect
43. #91460C22semidirect
44. #91450C22semidirect
45. C4×#1201C22semidirect
46. #91377C22semidirect
47. #91351C22semidirect
48. #91348C22semidirect
60. C2×D5×C4⋊C4D3semidirect
91. C2×#1201D4semidirect
117. C2×D3×C4⋊C4D5semidirect
152. D5×C4⋊C4C2×D3semidirect
169. C2×C3×C4×C5#41semidirect
193. #1201C2×D4semidirect
227. D3×C4⋊C4C2×D5semidirect
303. C3×C4×C5C2×#41semidirect
375. C2×C4×C5#235semidirect
429. C2×C3×C5#547semidirect
456. C2×C3×C4#709semidirect
494. C4×C5C2×#235semidirect
544. C3×C5C2×#547semidirect
564. C3×C4C2×#709semidirect
570. C2×C5#5507semidirect
612. C2×C4#6771semidirect
616. C2×C3#65841semidirect
622. C5C2×#5507semidirect
646. C4C2×#6771semidirect
647. C3C2×#65841semidirect
651. C2#11753672direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#67712
C2×#917822
C2×C5×D3×C4⋊C42
C2×C3×D5×C4⋊C42
C2×#914702
C2×#914602
C2×#914502
C2×C4×#12012
C2×#913772
C2×#913512
C2×#913482
#117536722
C2×#658413
C2×#55075