Finite Group Databasebeta

← C2×#11756370 #14482678

Subgroups — C2×#11756370 #14482678

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×#6819C212yesmaximal, complemented
2C2×C3×C5×#121C211yesmaximal, characteristic, complemented
3C2×#91827C211yesmaximal, characteristic, complemented
4C2×#91824C212yesmaximal, complemented
5C2×D4×Dic15C211yesmaximal, characteristic, complemented
6C2×C4×#1220C211yesmaximal, characteristic, complemented
7C22×C4⋊Dic15C211yesmaximal, characteristic, complemented
8#11756370C2116yesmaximal, direct product factor
9C2×C4⋊C4×D15C211yesmaximal, characteristic, complemented
10C2×#91777C211yesmaximal, characteristic, complemented
11C2×#91772C212yesmaximal, complemented
12C2×#91767C212yesmaximal, complemented
13C2×#65945—31nomaximal, Hall
14C22×C3×C5×D4C2211yescharacteristic
15C22×C3×C5×D4C2212yes—
16C23×C3×C4×C5C2211yescharacteristic
17C22×#1220C2212yes—
18C22×#1220C2211yescharacteristic
19C23×Dic15C2212yes—
20C23×Dic15C2212yes—
21C2×#6819—216no—
22C2×#6819C22116yescomplemented
23C22×C4×D15C2211yescharacteristic
24C22×C4×D15C2212yes—
25C22×Dic30C2212yes—
26C3×C5×#121C2218yescomplemented
27C2×C3×C5×C4⋊C4C2211yescharacteristic
28C2×C3×C5×C22⋊C4C2212yes—
29C2×#6719C2211yescharacteristic
30C2×#6719C2212yes—
31C2×#6719C2212yes—
32#91827C2218yescomplemented
33#91824C22116yescomplemented
34D4×Dic15C2218yescomplemented
35C4×#1220C2218yescomplemented
36C2×#6714C2211yescharacteristic
37C2×C4⋊Dic15C2211yescharacteristic
38C2×C4⋊Dic15C2211yescharacteristic
39C2×C4⋊Dic15C2212yes—
40C2×C4⋊Dic15C2218yescomplemented
41C2×#6712C2211yescharacteristic
42C2×#6712C2212yes—
43C2×#6712C2212yes—
44C2×C4×Dic15C2211yescharacteristic
45C4⋊C4×D15C2218yescomplemented
46#91777C2218yescomplemented
47#91772C22116yescomplemented
48#91767C22116yescomplemented
49C2×#5611—51nomaximal, Hall
50C22×#711—32no—
51C2×C5×#121D311yescharacteristic, complemented
52C2×#4084—31no—
53C2×#4081—32no—
54C2×D4×Dic5—31no—
55C2×C4×C22⋊D5—31no—
56C22×C4⋊Dic5—31no—
57#65945—316no—
58C2×D5×C4⋊C4—31no—
59C2×#4034—31no—
60C2×#4029—32no—
61C2×#4024—32no—
62C24×C3×C5C2312yes—
63C24×C3×C5C2311yescharacteristic
64C23×D15C2311yescharacteristic
65C2×C3×C5×D4—28no—
66C2×C3×C5×D4—24no—
67C2×C3×C5×D4C2314yes—
68C2×C3×C5×D4C2318yes—
69C22×C3×C4×C5—24no—
70C22×C3×C4×C5C2312yes—
71C22×C3×C4×C5C2311yescharacteristic
72C22×C3×C4×C5C2314yes—
73C22×C3×C4×C5C2311yescharacteristic
74C2×#1220—28no—
75C2×#1220D418yescomplemented
76C2×#1220C2318yes—
77C2×#1220C2314yes—
78C22×Dic15—28no—
79C22×Dic15—28no—
80C22×Dic15C2318yes—
81C22×Dic15C2311yescharacteristic
82C22×Dic15C2311yescharacteristic
83C22×Dic15C2312yes—
84C22×Dic15C2312yes—
85C22×Dic15C2318yes—
86C22×Dic15C2311yescharacteristic
87#6819—264no—
88C2×C4×D15—28no—
89C2×C4×D15—24no—
90C2×C4×D15C2318yes—
91C2×C4×D15C2314yes—
92C2×Dic30—28no—
93C2×Dic30C2318yes—
94C3×C5×C4⋊C4C2314yes—
95C3×C5×C22⋊C4C2318yes—
96#6719C2318yes—
97#6719C2318yes—
98#6719C2314yes—
99#6714C2314yes—
100C4⋊Dic15C2318yes—
101C4⋊Dic15C2314yes—
102C4⋊Dic15C2314yes—
103#6712C2314yes—
104#6712C2318yes—
105#6712C2318yes—
106C4×Dic15C2314yes—
107C22×#237—52no—
108C2×C3×#121D511yescharacteristic, complemented
109C2×#938—51no—
110C2×#935—52no—
111C2×D4×Dic3—51no—
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
120C22×C5×D4C2×D312yes—
121C23×C4×C5C2×D311yescharacteristic
122C22×C22⋊D5—31no—
123C22×C22⋊D5—32no—
124C23×Dic5—32no—
125C23×Dic5—32no—
126C2×#711—316no—
127C2×#711—616no—
128C22×C4×D5—32no—
129C22×C4×D5—31no—
130C22×Dic10—32no—
131C5×#121C2×D318yescomplemented
132C2×C5×C4⋊C4C2×D311yescharacteristic
133C2×C5×C22⋊C4C2×D312yes—
134C2×C22⋊Dic5—32no—
135C2×C22⋊Dic5—32no—
136C2×C22⋊Dic5—31no—
137#4084—38no—
138#4081—316no—
139D4×Dic5—38no—
140C4×C22⋊D5—38no—
141C2×#685—31no—
142C2×C4⋊Dic5—32no—
143C2×C4⋊Dic5—31no—
144C2×C4⋊Dic5—31no—
145C2×C4⋊Dic5—38no—
146C2×#683—31no—
147C2×#683—32no—
148C2×#683—32no—
149C2×C4×Dic5—31no—
150D5×C4⋊C4—38no—
151#4034—38no—
152#4029—316no—
153#4024—316no—
154C2×#547—151noSylow
155C23×C3×C5—22no—
156C23×C3×C5—22no—
157C23×C3×C5—24no—
158C23×C3×C5—24no—
159C23×C3×C5—24no—
160C23×C3×C5C2×D414yes—
161C23×C3×C5C2414yes—
162C23×C3×C5C2412yes—
163C23×C3×C5C2411yescharacteristic
164C22×D15—22no—
165C22×D15—22no—
166C22×D15C2×D414yes—
167C22×D15C2412yes—
168C3×C5×D4—216no—
169C3×C5×D4—28no—
170C2×C3×C4×C5—24no—
171C2×C3×C4×C5—22no—
172C2×C3×C4×C5—28no—
173C2×C3×C4×C5#4114yescomplemented
174C2×C3×C4×C5C2414yes—
175C2×C3×C4×C5C2412yes—
176C2×C3×C4×C5C2412yes—
177#1220—216no—
178#1220C2×D4116yescomplemented
179C2×Dic15—24no—
180C2×Dic15—24no—
181C2×Dic15—216no—
182C2×Dic15—22no—
183C2×Dic15—22no—
184C2×Dic15—216no—
185C2×Dic15C2×D414yes—
186C2×Dic15C2412yes—
187C2×Dic15C2412yes—
188C2×Dic15C2414yes—
189C2×Dic15C2414yes—
190C2×Dic15C2412yes—
191C4×D15—216no—
192C4×D15—28no—
193Dic30—216no—
194C22×C3×D4C2×D512yes—
195C22×C3×D4C2×D511yescharacteristic
196C23×C3×C4C2×D511yescharacteristic
197C22×#67—51no—
198C22×#67—52no—
199C23×Dic3—52no—
200C23×Dic3—52no—
201C2×#237—516no—
202C2×#237—1016no—
203C22×C4×D3—52no—
204C22×C4×D3—51no—
205C22×Dic6—52no—
206C3×#121C2×D518yescomplemented
207C2×C3×C4⋊C4C2×D511yescharacteristic
208C2×C3×C22⋊C4C2×D512yes—
209C2×#217—52no—
210C2×#217—52no—
211C2×#217—51no—
212#938—58no—
213#935—516no—
214D4×Dic3—58no—
215C4×#67—58no—
216C2×(C2×D3)⋊C4—51no—
217C2×C4⋊Dic3—52no—
218C2×C4⋊Dic3—51no—
219C2×C4⋊Dic3—51no—
220C2×C4⋊Dic3—58no—
221C2×Dic3⋊C4—51no—
222C2×Dic3⋊C4—52no—
223C2×Dic3⋊C4—52no—
224C2×C4×Dic3—51no—
225D3×C4⋊C4—58no—
226#888—58no—
227#883—516no—
228#878—516no—
229C24×C5C22×D312yes—
230C24×C5C22×D311yescharacteristic
231C23×D5—31no—
232C2×C5×D4—28no—
233C2×C5×D4—24no—
234C2×C5×D4C22×D318yes—
235C2×C5×D4C22×D314yes—
236C22×C4×C5—24no—
237C22×C4×C5C22×D311yescharacteristic
238C22×C4×C5C22×D312yes—
239C22×C4×C5C22×D314yes—
240C22×C4×C5C22×D311yescharacteristic
241C2×C22⋊D5—38no—
242C2×C22⋊D5—34no—
243C2×C22⋊D5—38no—
244C2×C22⋊D5—68no—
245C22×Dic5—31no—
246C22×Dic5—31no—
247C22×Dic5—31no—
248C22×Dic5—32no—
249C22×Dic5—32no—
250C22×Dic5—38no—
251C22×Dic5—38no—
252C22×Dic5—68no—
253C22×Dic5—68no—
254#711—664no—
255C2×C4×D5—38no—
256C2×C4×D5—34no—
257C2×C4×D5—68no—
258C2×C4×D5—64no—
259C2×Dic10—38no—
260C2×Dic10—68no—
261C5×C4⋊C4C22×D314yes—
262C5×C22⋊C4C22×D318yes—
263C22⋊Dic5—38no—
264C22⋊Dic5—38no—
265C22⋊Dic5—34no—
266#685—34no—
267C4⋊Dic5—38no—
268C4⋊Dic5—34no—
269C4⋊Dic5—34no—
270#683—34no—
271#683—38no—
272#683—38no—
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×#121D1511yescharacteristic, complemented
282C2×C4×D4—151no—
283C2×C4×D4—151no—
284C22×C4⋊C4—151no—
285C22×C4⋊C4—151no—
286C22×C3×C5—28no—
287C22×C3×C5—22no—
288C22×C3×C5—22no—
289C22×C3×C5—24no—
290C22×C3×C5—24no—
291C22×C3×C5—24no—
292C22×C3×C5—48no—
293C22×C3×C5C22×D414yes—
294C22×C3×C5C22×D412yes—
295C22×C3×C5C2×#4112yes—
296C22×C3×C52−1+412yes—
297C22×C3×C5C2511yescharacteristic
298C2×D15—28no—
299C2×D15—22no—
300C2×D15—22no—
301C2×D15C22×D414yes—
302C3×C4×C5—24no—
303C3×C4×C5—22no—
304C3×C4×C5C2×#4114yescomplemented
305Dic15—24no—
306Dic15—24no—
307Dic15—22no—
308Dic15—22no—
309Dic15C22×D414yes—
310C24×C3C22×D512yes—
311C24×C3C22×D511yescharacteristic
312C23×D3—51no—
313C2×C3×D4—28no—
314C2×C3×D4—24no—
315C2×C3×D4C22×D514yes—
316C2×C3×D4C22×D518yes—
317C22×C3×C4—24no—
318C22×C3×C4C22×D512yes—
319C22×C3×C4C22×D511yescharacteristic
320C22×C3×C4C22×D514yes—
321C22×C3×C4C22×D511yescharacteristic
322C2×#67—58no—
323C2×#67—54no—
324C2×#67—58no—
325C2×#67—108no—
326C22×Dic3—51no—
327C22×Dic3—58no—
328C22×Dic3—51no—
329C22×Dic3—51no—
330C22×Dic3—52no—
331C22×Dic3—52no—
332C22×Dic3—58no—
333C22×Dic3—108no—
334C22×Dic3—108no—
335#237—1064no—
336C2×C4×D3—58no—
337C2×C4×D3—54no—
338C2×C4×D3—108no—
339C2×C4×D3—104no—
340C2×Dic6—58no—
341C2×Dic6—108no—
342C3×C4⋊C4C22×D514yes—
343C3×C22⋊C4C22×D518yes—
344#217—58no—
345#217—58no—
346#217—54no—
347(C2×D3)⋊C4—54no—
348C4⋊Dic3—58no—
349C4⋊Dic3—54no—
350C4⋊Dic3—54no—
351Dic3⋊C4—54no—
352Dic3⋊C4—58no—
353Dic3⋊C4—58no—
354C4×Dic3—54no—
355C23×C5—22no—
356C23×C5—22no—
357C23×C5—24no—
358C23×C5—24no—
359C23×C5—24no—
360C23×C5D3×D414yes—
361C23×C5C23×D314yes—
362C23×C5C23×D312yes—
363C23×C5C23×D311yescharacteristic
364C22×D5—34no—
365C22×D5—32no—
366C22×D5—62no—
367C22×D5—62no—
368C5×D4—216no—
369C5×D4—28no—
370C2×C4×C5—24no—
371C2×C4×C5—22no—
372C2×C4×C5—28no—
373C2×C4×C5#23714yescomplemented
374C2×C4×C5C23×D314yes—
375C2×C4×C5C23×D312yes—
376C2×C4×C5C23×D312yes—
377C22⋊D5—316no—
378C22⋊D5—616no—
379C2×Dic5—34no—
380C2×Dic5—32no—
381C2×Dic5—32no—
382C2×Dic5—32no—
383C2×Dic5—34no—
384C2×Dic5—34no—
385C2×Dic5—616no—
386C2×Dic5—64no—
387C2×Dic5—64no—
388C2×Dic5—616no—
389C2×Dic5—62no—
390C2×Dic5—62no—
391C4×D5—616no—
392C4×D5—68no—
393Dic10—616no—
394C2×#41—1516no—
395C2×#41—3016no—
396C22×Q8—152no—
397C22×D4—151no—
398C22×D4—152no—
399C22×D4C2×D1511yescharacteristic
400C22×D4C2×D1512yes—
401C23×C4—152no—
402C23×C4—152no—
403C23×C4—151no—
404C23×C4—152no—
405C23×C4C2×D1511yescharacteristic
406C4⋊Q8—158no—
407#123—1516no—
408#123—1516no—
409C22⋊Q8—1516no—
410#121—158no—
411#121C2×D1518yescomplemented
412C4×D4—158no—
413C4×D4—158no—
414C2×C4⋊C4—151no—
415C2×C4⋊C4—151no—
416C2×C4⋊C4—152no—
417C2×C4⋊C4—152no—
418C2×C4⋊C4—158no—
419C2×C4⋊C4—151no—
420C2×C4⋊C4—152no—
421C2×C4⋊C4—158no—
422C2×C4⋊C4C2×D1511yescharacteristic
423C2×C22⋊C4—151no—
424C2×C22⋊C4—152no—
425C2×C22⋊C4—152no—
426C2×C22⋊C4—151no—
427C2×C22⋊C4C2×D1512yes—
428C2×C42—151no—
429C2×C3×C5—24no—
430C2×C3×C5—44no—
431C2×C3×C5#54714yescomplemented
432C2×C3×C5C23×D411yescharacteristic
433C2×C3×C5C22×#4111yescharacteristic
434C2×C3×C5C2×2−1+411yescharacteristic
435D15—24no—
436C23×C3—22no—
437C23×C3—22no—
438C23×C3—24no—
439C23×C3—24no—
440C23×C3—24no—
441C23×C3D4×D514yes—
442C23×C3C23×D514yes—
443C23×C3C23×D512yes—
444C23×C3C23×D511yescharacteristic
445C22×D3—54no—
446C22×D3—52no—
447C22×D3—102no—
448C22×D3—102no—
449C3×D4—216no—
450C3×D4—28no—
451C2×C3×C4—24no—
452C2×C3×C4—22no—
453C2×C3×C4—28no—
454C2×C3×C4#71114yescomplemented
455C2×C3×C4C23×D514yes—
456C2×C3×C4C23×D512yes—
457C2×C3×C4C23×D512yes—
458#67—516no—
459#67—1016no—
460C2×Dic3—54no—
461C2×Dic3—52no—
462C2×Dic3—52no—
463C2×Dic3—52no—
464C2×Dic3—54no—
465C2×Dic3—54no—
466C2×Dic3—1016no—
467C2×Dic3—104no—
468C2×Dic3—104no—
469C2×Dic3—1016no—
470C2×Dic3—102no—
471C2×Dic3—102no—
472C4×D3—1016no—
473C4×D3—108no—
474Dic6—1016no—
475C22×C5—22no—
476C22×C5—22no—
477C22×C5—28no—
478C22×C5—24no—
479C22×C5—24no—
480C22×C5—24no—
481C22×C5—48no—
482C22×C5C2×D3×D414yes—
483C22×C5C2×D3×D412yes—
484C22×C5C2×#23712yes—
485C22×C5#101012yes—
486C22×C5C24×D311yescharacteristic
487C2×D5—34no—
488C2×D5—62no—
489C2×D5—62no—
490C2×D5—68no—
491C4×C5—24no—
492C4×C5—22no—
493C4×C5C2×#23714yescomplemented
494Dic5—34no—
495Dic5—64no—
496Dic5—64no—
497Dic5—62no—
498Dic5—62no—
499C24—151no—
500C24C22×D1512yes—
501C24C22×D1511yescharacteristic
502#41—3064no—
503C2×Q8—158no—
504C2×Q8—308no—
505C2×D4—28no—
506C2×D4—24no—
507C2×D4—158no—
508C2×D4—154no—
509C2×D4—158no—
510C2×D4—308no—
511C2×D4C22×D1514yes—
512C2×D4C22×D1518yes—
513C22×C4—24no—
514C22×C4—151no—
515C22×C4—158no—
516C22×C4—158no—
517C22×C4—151no—
518C22×C4—151no—
519C22×C4—152no—
520C22×C4—152no—
521C22×C4—154no—
522C22×C4—158no—
523C22×C4—308no—
524C22×C4—308no—
525C22×C4—308no—
526C22×C4—304no—
527C22×C4C22×D1514yes—
528C22×C4C22×D1511yescharacteristic
529C22×C4C22×D1512yes—
530C22×C4C22×D1511yescharacteristic
531C4⋊C4—154no—
532C4⋊C4—154no—
533C4⋊C4—158no—
534C4⋊C4—158no—
535C4⋊C4—154no—
536C4⋊C4—158no—
537C4⋊C4C22×D1514yes—
538C22⋊C4—154no—
539C22⋊C4—158no—
540C22⋊C4—158no—
541C22⋊C4—154no—
542C22⋊C4C22×D1518yes—
543C42—154no—
544C3×C5C2×#54711yescharacteristic, complemented, Hall
545C22×C3—28no—
546C22×C3—22no—
547C22×C3—22no—
548C22×C3—24no—
549C22×C3—24no—
550C22×C3—24no—
551C22×C3—48no—
552C22×C3C2×D4×D514yes—
553C22×C3C2×D4×D512yes—
554C22×C3C2×#71112yes—
555C22×C3#415012yes—
556C22×C3C24×D511yescharacteristic
557C2×D3—54no—
558C2×D3—108no—
559C2×D3—102no—
560C2×D3—102no—
561C3×C4—24no—
562C3×C4—22no—
563C3×C4C2×#71114yescomplemented
564Dic3—54no—
565Dic3—104no—
566Dic3—104no—
567Dic3—102no—
568Dic3—102no—
569C2×C5—24no—
570C2×C5—44no—
571C2×C5#561114yescomplemented
572C2×C5C22×D3×D411yescharacteristic
573C2×C5C22×#23711yescharacteristic
574C2×C5C2×#101011yescharacteristic
575D5—64no—
576C23—22no—
577C23—22no—
578C23—24no—
579C23—24no—
580C23—24no—
581C23—154no—
582C23—152no—
583C23—302no—
584C23—302no—
585C23D4×D1514yes—
586C23C23×D1514yes—
587C23C23×D1512yes—
588C23C23×D1511yescharacteristic
589Q8—3016no—
590D4—216no—
591D4—28no—
592D4—1516no—
593D4—3016no—
594C2×C4—24no—
595C2×C4—22no—
596C2×C4—28no—
597C2×C4—154no—
598C2×C4—152no—
599C2×C4—152no—
600C2×C4—152no—
601C2×C4—154no—
602C2×C4—154no—
603C2×C4—3016no—
604C2×C4—3016no—
605C2×C4—304no—
606C2×C4—304no—
607C2×C4—3016no—
608C2×C4—302no—
609C2×C4—302no—
610C2×C4—308no—
611C2×C4#681914yescomplemented
612C2×C4C23×D1512yes—
613C2×C4C23×D1514yes—
614C2×C4C23×D1512yes—
615C2×C3—24no—
616C2×C3—44no—
617C2×C3#6594514yescomplemented
618C2×C3C22×D4×D511yescharacteristic
619C2×C3C22×#71111yescharacteristic
620C2×C3C2×#415011yescharacteristic
621D3—104no—
622C5C2×#561111yescharacteristic, complemented, Sylow
623C22—28no—
624C22—22no—
625C22—22no—
626C22—24no—
627C22—24no—
628C22—24no—
629C22—48no—
630C22—154no—
631C22—308no—
632C22—302no—
633C22—302no—
634C22C2×D4×D1514yes—
635C22C2×D4×D1512yes—
636C22C2×#681912yes—
637C22#9210112yes—
638C22C24×D1511yescharacteristic
639C4—24no—
640C4—22no—
641C4—154no—
642C4—304no—
643C4—304no—
644C4—302no—
645C4—302no—
646C4C2×#681914yescomplemented
647C3C2×#6594511yescharacteristic, complemented, Sylow
648C2—24no—
649C2—44no—
650C2—304no—
651C2#1175637014yesdirect product factor
652C2C22×D4×D1511yescharacteristic
653C2C22×#681911yescharacteristic
654C2C2×#9210111yescharacteristic
subgroupG/H
centerC23C23×D15
commutator, cosocleC22×C3×C5C25
FrattiniC22C24×D15
FittingC2×C3×C5×#121C2
socleC23×C3×C5C24
hypercenterC2×#121D15
hypocenterC3×C5C2×#547
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C2×#121

Complements

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

NH ≅ G/Ntype
1. C22×#6819C2semidirect
2. C2×C3×C5×#121C2semidirect
3. C2×#91827C2semidirect
4. C2×#91824C2semidirect
5. C2×D4×Dic15C2semidirect
6. C2×C4×#1220C2semidirect
7. C22×C4⋊Dic15C2semidirect
8. #11756370C2direct (N × H)
9. C2×C4⋊C4×D15C2semidirect
10. C2×#91777C2semidirect
11. C2×#91772C2semidirect
12. C2×#91767C2semidirect
22. C2×#6819C22semidirect
26. C3×C5×#121C22semidirect
32. #91827C22semidirect
33. #91824C22semidirect
34. D4×Dic15C22semidirect
35. C4×#1220C22semidirect
40. C2×C4⋊Dic15C22semidirect
45. C4⋊C4×D15C22semidirect
46. #91777C22semidirect
47. #91772C22semidirect
48. #91767C22semidirect
51. C2×C5×#121D3semidirect
75. C2×#1220D4semidirect
108. C2×C3×#121D5semidirect
131. C5×#121C2×D3semidirect
173. C2×C3×C4×C5#41semidirect
178. #1220C2×D4semidirect
206. C3×#121C2×D5semidirect
281. C2×#121D15semidirect
304. C3×C4×C5C2×#41semidirect
373. C2×C4×C5#237semidirect
411. #121C2×D15semidirect
431. C2×C3×C5#547semidirect
454. C2×C3×C4#711semidirect
493. C4×C5C2×#237semidirect
544. C3×C5C2×#547semidirect
563. C3×C4C2×#711semidirect
571. C2×C5#5611semidirect
611. C2×C4#6819semidirect
617. C2×C3#65945semidirect
622. C5C2×#5611semidirect
646. C4C2×#6819semidirect
647. C3C2×#65945semidirect
651. C2#11756370direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#68192
C2×C3×C5×#1212
C2×#918272
C2×#918242
C2×D4×Dic152
C2×C4×#12202
C22×C4⋊Dic152
#117563702
C2×C4⋊C4×D152
C2×#917772
C2×#917722
C2×#917672
C2×#659453
C2×#56115