Finite Group Databasebeta

← C2×#11754765 #14482787

Subgroups — C2×#11754765 #14482787

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×#6779C212yesmaximal, complemented
2C2×#91827C211yesmaximal, characteristic, complemented
3C2×C5×D4×Dic3C211yesmaximal, characteristic, complemented
4C2×C3×#4084C211yesmaximal, characteristic, complemented
5C2×#91575C212yesmaximal, complemented
6C2×#91562C212yesmaximal, complemented
7C2×#91548C212yesmaximal, complemented
8#11754765C2116yesmaximal, direct product factor
9C2×#91469C211yesmaximal, characteristic, complemented
10C2×C4×#1202C211yesmaximal, characteristic, complemented
11C2×#91437C211yesmaximal, characteristic, complemented
12C2×D5×C4⋊Dic3C211yesmaximal, characteristic, complemented
13C2×#65885—31nomaximal, Hall
14C22×C3×C5×D4C2211yescharacteristic
15C22×#1220C2212yes—
16C22×C4×D15C2211yescharacteristic
17C23×C5×Dic3C2212yes—
18C22×C3×C22⋊D5C2212yes—
19C22×C3×C4×D5C2211yescharacteristic
20C22×#1204C2212yes—
21C22×#1202C2211yescharacteristic
22C22×#1200C2212yes—
23C2×#6779—216no—
24C2×#6779C22116yescomplemented
25C22×D5×Dic3C2212yes—
26C2×#6719C2212yes—
27#91827C2218yescomplemented
28C2×C4⋊Dic15C2211yescharacteristic
29C2×C5×#217C2212yes—
30C5×D4×Dic3C2218yescomplemented
31C2×C5×C4⋊Dic3C2211yescharacteristic
32C2×C4×C5×Dic3C2211yescharacteristic
33C2×C3×C22⋊Dic5C2212yes—
34C3×#4084C2218yescomplemented
35C2×C3×C4⋊Dic5C2211yescharacteristic
36#91575C22116yescomplemented
37#91562C22116yescomplemented
38#91548C22116yescomplemented
39C2×Dic3⋊Dic5C2211yescharacteristic
40C2×Dic3⋊Dic5C2212yes—
41C2×#6669C2212yes—
42C2×#6668C2212yes—
43C2×#6667C2211yescharacteristic
44C2×#6665C2211yescharacteristic
45#91469C2218yescomplemented
46C4×#1202C2218yescomplemented
47#91437C2218yescomplemented
48D5×C4⋊Dic3C2218yescomplemented
49C2×#5611—51nomaximal, Hall
50C22×#709—32no—
51C2×C4×C5×D4—31no—
52C2×#4084—31no—
53C2×#4084D311yescharacteristic, complemented
54C2×#4070—32no—
55#65885—316no—
56C2×D5×C4⋊C4—31no—
57C2×D5×C4⋊C4—31no—
58C2×#4029—32no—
59C2×#4029—32no—
60C2×C4×D20—31no—
61C2×#4015—31no—
62C24×C3×C5C2312yes—
63C23×D15C2311yescharacteristic
64C23×C3×D5C2311yescharacteristic
65C2×C3×C5×D4—24no—
66C2×C3×C5×D4C2314yes—
67C22×C3×C4×C5C2311yescharacteristic
68C2×#1220—28no—
69C2×#1220C2318yes—
70C22×Dic15C2312yes—
71C22×Dic15C2311yescharacteristic
72C2×C4×D15—24no—
73C2×C4×D15C2314yes—
74C22×C5×Dic3—28no—
75C22×C5×Dic3C2311yescharacteristic
76C22×C5×Dic3C2312yes—
77C22×C5×Dic3C2318yes—
78C22×C5×Dic3C2311yescharacteristic
79C2×C3×C22⋊D5—28no—
80C2×C3×C22⋊D5C2318yes—
81C22×C3×Dic5C2311yescharacteristic
82C22×C3×Dic5C2312yes—
83C2×C3×C4×D5—24no—
84C2×C3×C4×D5C2314yes—
85C2×#1204—28no—
86C2×#1204C2318yes—
87C2×#1202D418yescomplemented
88C2×#1202C2314yes—
89C2×#1200—28no—
90C2×#1200C2318yes—
91#6779—264no—
92C2×D5×Dic3—28no—
93C2×D5×Dic3C2318yes—
94#6719C2318yes—
95C4⋊Dic15C2314yes—
96C5×#217C2318yes—
97C5×C4⋊Dic3C2314yes—
98C4×C5×Dic3C2314yes—
99C3×C22⋊Dic5C2318yes—
100C3×C4⋊Dic5C2314yes—
101Dic3⋊Dic5C2314yes—
102Dic3⋊Dic5C2318yes—
103#6669C2318yes—
104#6668C2318yes—
105#6667C2314yes—
106#6665C2314yes—
107C22×#237—52no—
108C2×C3×#121—51no—
109C2×#938—51no—
110C2×#935—52no—
111C2×D4×Dic3D511yescharacteristic, complemented
112C2×C4×#67—51no—
113C22×C4⋊Dic3—51no—
114#5611—516no—
115C2×D3×C4⋊C4—51no—
116C2×#888—51no—
117C2×#883—52no—
118C2×#878—52no—
119C22×C5×D4C2×D311yescharacteristic
120C23×C4×C5—32no—
121C22×C22⋊D5—32no—
122C22×C22⋊D5C2×D312yes—
123C2×#709—316no—
124C2×#709—616no—
125C22×D20—31no—
126C22×C4×D5—32no—
127C22×C4×D5—31no—
128C22×C4×D5—32no—
129C22×C4×D5C2×D311yescharacteristic
130C22×Dic10—32no—
131C4×C5×D4—38no—
132C2×C5×C4⋊C4—31no—
133C2×C5×C22⋊C4—32no—
134C2×C42×C5—31no—
135C2×C22⋊Dic5—32no—
136C2×C22⋊Dic5C2×D312yes—
137#4084—38no—
138#4084C2×D318yescomplemented
139C2×#685—31no—
140C2×#685—31no—
141C2×C4⋊Dic5—31no—
142C2×C4⋊Dic5—32no—
143C2×C4⋊Dic5—31no—
144C2×C4⋊Dic5C2×D311yescharacteristic
145#4070—316no—
146C2×#683—32no—
147C2×#683—32no—
148D5×C4⋊C4—38no—
149D5×C4⋊C4—38no—
150#4029—316no—
151#4029—316no—
152C4×D20—38no—
153#4015—38no—
154C2×#547—151noSylow
155C23×C3×C5—24no—
156C23×C3×C5—24no—
157C23×C3×C5—24no—
158C23×C3×C5C2414yes—
159C23×C3×C5C2411yescharacteristic
160C22×D15—22no—
161C22×D15—22no—
162C22×D15C2×D414yes—
163C22×D15C2412yes—
164C22×C3×D5—22no—
165C22×C3×D5—22no—
166C22×C3×D5C2×D414yes—
167C22×C3×D5C2412yes—
168C3×C5×D4—28no—
169C2×C3×C4×C5#4114yescomplemented
170C2×C3×C4×C5C2412yes—
171#1220—216no—
172C2×Dic15—24no—
173C2×Dic15—22no—
174C2×Dic15C2412yes—
175C2×Dic15C2414yes—
176C4×D15—28no—
177C2×C5×Dic3—24no—
178C2×C5×Dic3—22no—
179C2×C5×Dic3—216no—
180C2×C5×Dic3C2×D414yes—
181C2×C5×Dic3C2412yes—
182C2×C5×Dic3C2414yes—
183C2×C5×Dic3C2412yes—
184C3×C22⋊D5—216no—
185C2×C3×Dic5—24no—
186C2×C3×Dic5—22no—
187C2×C3×Dic5C2412yes—
188C2×C3×Dic5C2414yes—
189C3×C4×D5—28no—
190#1204—216no—
191#1202C2×D4116yescomplemented
192#1200—216no—
193D5×Dic3—216no—
194C22×C3×D4—52no—
195C22×C3×D4C2×D511yescharacteristic
196C23×C3×C4—51no—
197C22×#67—52no—
198C22×#67—51no—
199C23×Dic3—52no—
200C23×Dic3C2×D512yes—
201C2×#237—516no—
202C2×#237—1016no—
203C22×C4×D3—51no—
204C22×C4×D3—52no—
205C22×Dic6—52no—
206C3×#121—58no—
207C2×C3×C4⋊C4—51no—
208C2×C3×C22⋊C4—52no—
209C2×#217—52no—
210C2×#217—51no—
211C2×#217C2×D512yes—
212#938—58no—
213#935—516no—
214D4×Dic3C2×D518yescomplemented
215C4×#67—58no—
216C2×(C2×D3)⋊C4—51no—
217C2×C4⋊Dic3—51no—
218C2×C4⋊Dic3—52no—
219C2×C4⋊Dic3—58no—
220C2×C4⋊Dic3C2×D511yescharacteristic
221C2×Dic3⋊C4—51no—
222C2×Dic3⋊C4—52no—
223C2×Dic3⋊C4—52no—
224C2×C4×Dic3C2×D511yescharacteristic
225D3×C4⋊C4—58no—
226#888—58no—
227#883—516no—
228#878—516no—
229C24×C5C22×D312yes—
230C23×D5—31no—
231C23×D5C22×D311yescharacteristic
232C2×C5×D4—24no—
233C2×C5×D4C22×D314yes—
234C22×C4×C5—31no—
235C22×C4×C5—31no—
236C22×C4×C5—32no—
237C22×C4×C5—38no—
238C22×C4×C5—68no—
239C22×C4×C5C22×D311yescharacteristic
240C2×C22⋊D5—28no—
241C2×C22⋊D5—38no—
242C2×C22⋊D5—68no—
243C2×C22⋊D5C22×D318yes—
244C22×Dic5—31no—
245C22×Dic5—32no—
246C22×Dic5C22×D311yescharacteristic
247C22×Dic5C22×D312yes—
248#709—664no—
249C2×D20—38no—
250C2×D20—34no—
251C2×C4×D5—24no—
252C2×C4×D5—38no—
253C2×C4×D5—34no—
254C2×C4×D5—38no—
255C2×C4×D5—68no—
256C2×C4×D5—68no—
257C2×C4×D5—64no—
258C2×C4×D5C22×D314yes—
259C2×Dic10—38no—
260C2×Dic10—68no—
261C5×C4⋊C4—34no—
262C5×C22⋊C4—38no—
263C42×C5—34no—
264C22⋊Dic5—38no—
265C22⋊Dic5C22×D318yes—
266#685—34no—
267#685—34no—
268C4⋊Dic5—34no—
269C4⋊Dic5—38no—
270C4⋊Dic5—34no—
271C4⋊Dic5C22×D314yes—
272#683—38no—
273#683—38no—
274C22×#41—152no—
275#547—1516no—
276C2×C4⋊Q8—151no—
277C2×#123—152no—
278C2×#123—152no—
279C2×C22⋊Q8—152no—
280C2×#121—51no—
281C2×#121—151no—
282C2×C4×D4—31no—
283C2×C4×D4—151no—
284C22×C4⋊C4—151no—
285C22×C4⋊C4—151no—
286C22×C3×C5—24no—
287C22×C3×C5—24no—
288C22×C3×C5—24no—
289C22×C3×C5—48no—
290C22×C3×C5C22×D412yes—
291C22×C3×C5C2×#4112yes—
292C22×C3×C52−1+412yes—
293C22×C3×C5C2511yescharacteristic
294C2×D15—28no—
295C2×D15—22no—
296C2×D15—22no—
297C2×D15C22×D414yes—
298C2×C3×D5—28no—
299C2×C3×D5—22no—
300C2×C3×D5—22no—
301C2×C3×D5C22×D414yes—
302C3×C4×C5C2×#4114yescomplemented
303Dic15—24no—
304Dic15—22no—
305C3×Dic5—24no—
306C3×Dic5—22no—
307C5×Dic3—24no—
308C5×Dic3—22no—
309C5×Dic3C22×D414yes—
310C24×C3—51no—
311C24×C3C22×D512yes—
312C23×D3—51no—
313C2×C3×D4—24no—
314C2×C3×D4—58no—
315C2×C3×D4—108no—
316C2×C3×D4C22×D514yes—
317C22×C3×C4—52no—
318C22×C3×C4—51no—
319C22×C3×C4—54no—
320C22×C3×C4—104no—
321C22×C3×C4C22×D511yescharacteristic
322C2×#67—58no—
323C2×#67—58no—
324C2×#67—54no—
325C2×#67—108no—
326C22×Dic3—28no—
327C22×Dic3—51no—
328C22×Dic3—52no—
329C22×Dic3—58no—
330C22×Dic3—108no—
331C22×Dic3C22×D518yes—
332C22×Dic3C22×D511yescharacteristic
333C22×Dic3C22×D512yes—
334C22×Dic3C22×D511yescharacteristic
335#237—1064no—
336C2×C4×D3—54no—
337C2×C4×D3—58no—
338C2×C4×D3—108no—
339C2×C4×D3—104no—
340C2×Dic6—58no—
341C2×Dic6—108no—
342C3×C4⋊C4—54no—
343C3×C22⋊C4—58no—
344#217—58no—
345#217—54no—
346#217C22×D518yes—
347(C2×D3)⋊C4—54no—
348C4⋊Dic3—54no—
349C4⋊Dic3—58no—
350C4⋊Dic3C22×D514yes—
351Dic3⋊C4—58no—
352Dic3⋊C4—54no—
353Dic3⋊C4—58no—
354C4×Dic3C22×D514yes—
355C23×C5—24no—
356C23×C5—24no—
357C23×C5—24no—
358C23×C5C23×D314yes—
359C23×C5C23×D311yescharacteristic
360C22×D5—22no—
361C22×D5—22no—
362C22×D5—34no—
363C22×D5—32no—
364C22×D5—62no—
365C22×D5—62no—
366C22×D5D3×D414yes—
367C22×D5C23×D312yes—
368C5×D4—28no—
369C2×C4×C5—34no—
370C2×C4×C5—32no—
371C2×C4×C5—34no—
372C2×C4×C5—32no—
373C2×C4×C5—616no—
374C2×C4×C5—64no—
375C2×C4×C5—62no—
376C2×C4×C5#23714yescomplemented
377C2×C4×C5C23×D312yes—
378C22⋊D5—216no—
379C22⋊D5—616no—
380C2×Dic5—24no—
381C2×Dic5—22no—
382C2×Dic5—32no—
383C2×Dic5—34no—
384C2×Dic5—64no—
385C2×Dic5—62no—
386C2×Dic5C23×D312yes—
387C2×Dic5C23×D314yes—
388D20—316no—
389C4×D5—28no—
390C4×D5—616no—
391C4×D5—616no—
392C4×D5—68no—
393Dic10—616no—
394C2×#41—1516no—
395C2×#41—3016no—
396C22×Q8—152no—
397C22×D4—52no—
398C22×D4—151no—
399C22×D4—152no—
400C22×D4D3×D511yescharacteristic
401C23×C4—32no—
402C23×C4—51no—
403C23×C4—152no—
404C23×C4—152no—
405C23×C4—151no—
406C4⋊Q8—158no—
407#123—1516no—
408#123—1516no—
409C22⋊Q8—1516no—
410#121—58no—
411#121—158no—
412C4×D4—38no—
413C4×D4—158no—
414C2×C4⋊C4—31no—
415C2×C4⋊C4—51no—
416C2×C4⋊C4—158no—
417C2×C4⋊C4—158no—
418C2×C4⋊C4—152no—
419C2×C4⋊C4—152no—
420C2×C4⋊C4—151no—
421C2×C4⋊C4—152no—
422C2×C4⋊C4—151no—
423C2×C22⋊C4—32no—
424C2×C22⋊C4—52no—
425C2×C22⋊C4—151no—
426C2×C22⋊C4—151no—
427C2×C22⋊C4—152no—
428C2×C42—31no—
429C2×C3×C5—44no—
430C2×C3×C5#54714yescomplemented
431C2×C3×C5C23×D411yescharacteristic
432C2×C3×C5C22×#4111yescharacteristic
433C2×C3×C5C2×2−1+411yescharacteristic
434D15—24no—
435C3×D5—24no—
436C23×C3—24no—
437C23×C3—24no—
438C23×C3—24no—
439C23×C3—54no—
440C23×C3—52no—
441C23×C3—102no—
442C23×C3—102no—
443C23×C3C23×D514yes—
444C23×C3C23×D511yescharacteristic
445C22×D3—54no—
446C22×D3—52no—
447C22×D3—102no—
448C22×D3—102no—
449C3×D4—28no—
450C3×D4—1016no—
451C2×C3×C4—54no—
452C2×C3×C4—52no—
453C2×C3×C4—102no—
454C2×C3×C4—104no—
455C2×C3×C4—108no—
456C2×C3×C4#70914yescomplemented
457C2×C3×C4C23×D512yes—
458#67—516no—
459#67—1016no—
460C2×Dic3—24no—
461C2×Dic3—22no—
462C2×Dic3—216no—
463C2×Dic3—52no—
464C2×Dic3—54no—
465C2×Dic3—1016no—
466C2×Dic3—102no—
467C2×Dic3—104no—
468C2×Dic3D4×D514yes—
469C2×Dic3C23×D512yes—
470C2×Dic3C23×D514yes—
471C2×Dic3C23×D512yes—
472C4×D3—1016no—
473C4×D3—108no—
474Dic6—1016no—
475C22×C5—24no—
476C22×C5—24no—
477C22×C5—24no—
478C22×C5—48no—
479C22×C5C2×D3×D412yes—
480C22×C5C2×#23712yes—
481C22×C5#101012yes—
482C22×C5C24×D311yescharacteristic
483C2×D5—22no—
484C2×D5—22no—
485C2×D5—28no—
486C2×D5—34no—
487C2×D5—62no—
488C2×D5—62no—
489C2×D5—68no—
490C2×D5C2×D3×D414yes—
491C4×C5—34no—
492C4×C5—64no—
493C4×C5—62no—
494C4×C5C2×#23714yescomplemented
495Dic5—24no—
496Dic5—22no—
497Dic5—64no—
498Dic5—62no—
499C24—51no—
500C24—151no—
501C24C2×D3×D512yes—
502#41—3064no—
503C2×Q8—158no—
504C2×Q8—308no—
505C2×D4—24no—
506C2×D4—58no—
507C2×D4—108no—
508C2×D4—154no—
509C2×D4—158no—
510C2×D4—158no—
511C2×D4—308no—
512C2×D4C2×D3×D514yes—
513C22×C4—31no—
514C22×C4—38no—
515C22×C4—31no—
516C22×C4—32no—
517C22×C4—51no—
518C22×C4—52no—
519C22×C4—54no—
520C22×C4—68no—
521C22×C4—104no—
522C22×C4—158no—
523C22×C4—158no—
524C22×C4—151no—
525C22×C4—152no—
526C22×C4—154no—
527C22×C4—308no—
528C22×C4—308no—
529C22×C4—304no—
530C22×C4C2×D3×D511yescharacteristic
531C4⋊C4—34no—
532C4⋊C4—54no—
533C4⋊C4—158no—
534C4⋊C4—158no—
535C4⋊C4—154no—
536C4⋊C4—158no—
537C4⋊C4—154no—
538C22⋊C4—38no—
539C22⋊C4—58no—
540C22⋊C4—154no—
541C22⋊C4—154no—
542C22⋊C4—158no—
543C42—34no—
544C3×C5C2×#54711yescharacteristic, complemented, Hall
545C22×C3—24no—
546C22×C3—24no—
547C22×C3—24no—
548C22×C3—48no—
549C22×C3—54no—
550C22×C3—108no—
551C22×C3—102no—
552C22×C3—102no—
553C22×C3C2×#70912yes—
554C22×C3C2×D4×D512yes—
555C22×C3#415012yes—
556C22×C3C24×D511yescharacteristic
557C2×D3—54no—
558C2×D3—108no—
559C2×D3—102no—
560C2×D3—102no—
561C3×C4—102no—
562C3×C4—104no—
563C3×C4C2×#70914yescomplemented
564Dic3—24no—
565Dic3—22no—
566Dic3—102no—
567Dic3—104no—
568Dic3C2×D4×D514yes—
569C2×C5—44no—
570C2×C5#561114yescomplemented
571C2×C5C22×D3×D411yescharacteristic
572C2×C5C22×#23711yescharacteristic
573C2×C5C2×#101011yescharacteristic
574D5—24no—
575D5—64no—
576C23—24no—
577C23—24no—
578C23—24no—
579C23—54no—
580C23—52no—
581C23—102no—
582C23—102no—
583C23—154no—
584C23—152no—
585C23—302no—
586C23—302no—
587C23C22×D3×D514yes—
588C23C22×D3×D511yescharacteristic
589Q8—3016no—
590D4—28no—
591D4—1016no—
592D4—1516no—
593D4—3016no—
594C2×C4—34no—
595C2×C4—32no—
596C2×C4—32no—
597C2×C4—34no—
598C2×C4—52no—
599C2×C4—54no—
600C2×C4—616no—
601C2×C4—62no—
602C2×C4—64no—
603C2×C4—104no—
604C2×C4—102no—
605C2×C4—108no—
606C2×C4—152no—
607C2×C4—154no—
608C2×C4—3016no—
609C2×C4—3016no—
610C2×C4—304no—
611C2×C4—302no—
612C2×C4—308no—
613C2×C4#677914yescomplemented
614C2×C4C22×D3×D512yes—
615C2×C3—44no—
616C2×C3—104no—
617C2×C3#6588514yescomplemented
618C2×C3C22×#70911yescharacteristic
619C2×C3C22×D4×D511yescharacteristic
620C2×C3C2×#415011yescharacteristic
621D3—104no—
622C5C2×#561111yescharacteristic, complemented, Sylow
623C22—24no—
624C22—24no—
625C22—24no—
626C22—48no—
627C22—54no—
628C22—102no—
629C22—108no—
630C22—102no—
631C22—154no—
632C22—302no—
633C22—308no—
634C22—302no—
635C22#9202012yes—
636C22D3×D4×D512yes—
637C22C2×#677912yes—
638C22C23×D3×D511yescharacteristic
639C4—34no—
640C4—62no—
641C4—64no—
642C4—102no—
643C4—104no—
644C4—302no—
645C4—304no—
646C4C2×#677914yescomplemented
647C3C2×#6588511yescharacteristic, complemented, Sylow
648C2—44no—
649C2—104no—
650C2—304no—
651C2#1175476514yesdirect product factor
652C2C2×#9202011yescharacteristic
653C2C2×D3×D4×D511yescharacteristic
654C2C22×#677911yescharacteristic
subgroupG/H
centerC23C22×D3×D5
commutator, cosocleC22×C3×C5C25
FrattiniC22C23×D3×D5
FittingC22×C3×C5×D4C22
socleC23×C3×C5C24
hypercenterC22×D4D3×D5
hypocenterC3×C5C2×#547
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
1. C22×#6779C2semidirect
2. C2×#91827C2semidirect
3. C2×C5×D4×Dic3C2semidirect
4. C2×C3×#4084C2semidirect
5. C2×#91575C2semidirect
6. C2×#91562C2semidirect
7. C2×#91548C2semidirect
8. #11754765C2direct (N × H)
9. C2×#91469C2semidirect
10. C2×C4×#1202C2semidirect
11. C2×#91437C2semidirect
12. C2×D5×C4⋊Dic3C2semidirect
24. C2×#6779C22semidirect
27. #91827C22semidirect
30. C5×D4×Dic3C22semidirect
34. C3×#4084C22semidirect
36. #91575C22semidirect
37. #91562C22semidirect
38. #91548C22semidirect
45. #91469C22semidirect
46. C4×#1202C22semidirect
47. #91437C22semidirect
48. D5×C4⋊Dic3C22semidirect
53. C2×#4084D3semidirect
87. C2×#1202D4semidirect
111. C2×D4×Dic3D5semidirect
138. #4084C2×D3semidirect
169. C2×C3×C4×C5#41semidirect
191. #1202C2×D4semidirect
214. D4×Dic3C2×D5semidirect
302. C3×C4×C5C2×#41semidirect
376. C2×C4×C5#237semidirect
430. C2×C3×C5#547semidirect
456. C2×C3×C4#709semidirect
494. C4×C5C2×#237semidirect
544. C3×C5C2×#547semidirect
563. C3×C4C2×#709semidirect
570. C2×C5#5611semidirect
613. C2×C4#6779semidirect
617. C2×C3#65885semidirect
622. C5C2×#5611semidirect
646. C4C2×#6779semidirect
647. C3C2×#65885semidirect
651. C2#11754765direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#67792
C2×#918272
C2×C5×D4×Dic32
C2×C3×#40842
C2×#915752
C2×#915622
C2×#915482
#117547652
C2×#914692
C2×C4×#12022
C2×#914372
C2×D5×C4⋊Dic32
C2×#658853
C2×#56115