Finite Group Databasebeta

← C2×#11756367 #14480568

Subgroups — C2×#11756367 #14480568

Order 1920.

3280 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#6819C211yesmaximal, characteristic, complemented
2C22×#6817C211yesmaximal, characteristic, complemented
3C2×C3×C5×#121C211yesmaximal, characteristic, complemented
4C2×#91828C212yesmaximal, complemented
5C2×#91827C212yesmaximal, complemented
6C2×#91827C211yesmaximal, characteristic, complemented
7C2×#91813C211yesmaximal, characteristic, complemented
8#11756367C2116yesmaximal, direct product factor
9C2×#91786C211yesmaximal, characteristic, complemented
10C2×C4⋊C4×D15C211yesmaximal, characteristic, complemented
11C2×#91773C212yesmaximal, complemented
12C2×#91767C212yesmaximal, complemented
13C2×#65942—31nomaximal, Hall
14C22×C3×C5×D4C2211yescharacteristic
15C22×C3×C5×D4C2212yes—
16C23×C3×C4×C5C2211yescharacteristic
17C22×#1220C2211yescharacteristic
18C22×#1220C2212yes—
19C22×#1220C2211yescharacteristic
20C22×#1220C2212yes—
21C23×Dic15C2212yes—
22C2×#6819—28no—
23C2×#6819C2218yescomplemented
24C2×#6817—28no—
25C2×#6817C2218yescomplemented
26C22×D60C2211yescharacteristic
27C22×C4×D15C2211yescharacteristic
28C22×C4×D15C2212yes—
29C22×C4×D15C2211yescharacteristic
30C22×Dic30C2211yescharacteristic
31C22×Dic30C2211yescharacteristic
32C3×C5×#121C2218yescomplemented
33C2×C3×C5×C4⋊C4C2211yescharacteristic
34C2×C3×C5×C22⋊C4C2212yes—
35C2×#6719C2212yes—
36C2×#6719C2212yes—
37#91828C22116yescomplemented
38#91827C22116yescomplemented
39#91827C2218yescomplemented
40C2×#6714C2212yes—
41C2×C4⋊Dic15C2212yes—
42C2×C4⋊Dic15C2211yescharacteristic
43#91813C2218yescomplemented
44C2×#6712C2212yes—
45C2×#6712C2212yes—
46#91786C2218yescomplemented
47C4⋊C4×D15C2218yescomplemented
48#91773C22116yescomplemented
49#91767C22116yescomplemented
50C2×#5608—51nomaximal, Hall
51C22×#711—31no—
52C22×#709—31no—
53C2×C5×#121D311yescharacteristic, complemented
54C2×#4085—32no—
55C2×#4084—31no—
56C2×#4084—32no—
57C2×#4070—31no—
58#65942—316no—
59C2×#4043—31no—
60C2×D5×C4⋊C4—31no—
61C2×#4030—32no—
62C2×#4024—32no—
63C24×C3×C5C2311yescharacteristic
64C24×C3×C5C2312yes—
65C23×D15C2311yescharacteristic
66C23×D15C2311yescharacteristic
67C2×C3×C5×D4—24no—
68C2×C3×C5×D4—44no—
69C2×C3×C5×D4C2314yes—
70C2×C3×C5×D4C2318yes—
71C22×C3×C4×C5—24no—
72C22×C3×C4×C5C2311yescharacteristic
73C22×C3×C4×C5C2312yes—
74C22×C3×C4×C5C2314yes—
75C22×C3×C4×C5C2311yescharacteristic
76C2×#1220—24no—
77C2×#1220—28no—
78C2×#1220—24no—
79C2×#1220—44no—
80C2×#1220C2318yes—
81C2×#1220C2314yes—
82C2×#1220C2314yes—
83C2×#1220C2318yes—
84C22×Dic15—28no—
85C22×Dic15C2318yes—
86C22×Dic15C2312yes—
87C22×Dic15C2312yes—
88C22×Dic15C2311yescharacteristic
89C22×Dic15C2311yescharacteristic
90#6819—232no—
91#6817—232no—
92C2×D60—24no—
93C2×D60C2314yes—
94C2×C4×D15—24no—
95C2×C4×D15—44no—
96C2×C4×D15D418yescomplemented
97C2×C4×D15C2314yes—
98C2×C4×D15C2318yes—
99C2×C4×D15C2314yes—
100C2×Dic30—24no—
101C2×Dic30—24no—
102C2×Dic30C2314yes—
103C2×Dic30C2314yes—
104C3×C5×C4⋊C4C2314yes—
105C3×C5×C22⋊C4C2318yes—
106#6719C2318yes—
107#6719C2318yes—
108#6714C2318yes—
109C4⋊Dic15C2318yes—
110C4⋊Dic15C2314yes—
111#6712C2318yes—
112#6712C2318yes—
113C22×#237—51no—
114C22×#235—51no—
115C2×C3×#121D511yescharacteristic, complemented
116C2×#939—52no—
117C2×#938—52no—
118C2×#938—51no—
119C2×#924—51no—
120#5608—516no—
121C2×#897—51no—
122C2×D3×C4⋊C4—51no—
123C2×#884—52no—
124C2×#878—52no—
125C22×C5×D4C2×D311yescharacteristic
126C22×C5×D4C2×D312yes—
127C23×C4×C5C2×D311yescharacteristic
128C22×C22⋊D5—32no—
129C22×C22⋊D5—31no—
130C22×C22⋊D5—31no—
131C22×C22⋊D5—32no—
132C23×Dic5—32no—
133C2×#711—38no—
134C2×#711—68no—
135C2×#709—38no—
136C2×#709—68no—
137C22×D20—31no—
138C22×C4×D5—31no—
139C22×C4×D5—31no—
140C22×C4×D5—32no—
141C22×Dic10—31no—
142C22×Dic10—31no—
143C5×#121C2×D318yescomplemented
144C2×C5×C4⋊C4C2×D311yescharacteristic
145C2×C5×C22⋊C4C2×D312yes—
146C2×C22⋊Dic5—32no—
147C2×C22⋊Dic5—32no—
148#4085—316no—
149#4084—316no—
150#4084—38no—
151C2×#685—32no—
152C2×C4⋊Dic5—32no—
153C2×C4⋊Dic5—31no—
154#4070—38no—
155C2×#683—32no—
156C2×#683—32no—
157#4043—38no—
158D5×C4⋊C4—38no—
159#4030—316no—
160#4024—316no—
161C2×#537—151noSylow
162C23×C3×C5—24no—
163C23×C3×C5—22no—
164C23×C3×C5—24no—
165C23×C3×C5—22no—
166C23×C3×C5—22no—
167C23×C3×C5—24no—
168C23×C3×C5C2412yes—
169C23×C3×C5C2414yes—
170C23×C3×C5C2411yescharacteristic
171C22×D15—22no—
172C22×D15—22no—
173C22×D15—22no—
174C22×D15—22no—
175C22×D15—22no—
176C22×D15C2×D414yes—
177C22×D15C2412yes—
178C22×D15C2412yes—
179C3×C5×D4—28no—
180C3×C5×D4—48no—
181C2×C3×C4×C5—22no—
182C2×C3×C4×C5—24no—
183C2×C3×C4×C5—28no—
184C2×C3×C4×C5C2×D414yes—
185C2×C3×C4×C5C2412yes—
186C2×C3×C4×C5C2414yes—
187C2×C3×C4×C5C2412yes—
188#1220—28no—
189#1220—216no—
190#1220—28no—
191#1220—48no—
192C2×Dic15—22no—
193C2×Dic15—24no—
194C2×Dic15—24no—
195C2×Dic15—216no—
196C2×Dic15C2×D414yes—
197C2×Dic15C2414yes—
198C2×Dic15C2414yes—
199C2×Dic15C2412yes—
200C2×Dic15C2412yes—
201D60—28no—
202C4×D15—28no—
203C4×D15—48no—
204C4×D15C2×D4116yescomplemented
205Dic30—28no—
206Dic30—28no—
207C22×C3×D4C2×D511yescharacteristic
208C22×C3×D4C2×D512yes—
209C23×C3×C4C2×D511yescharacteristic
210C22×#67—51no—
211C22×#67—51no—
212C22×#67—52no—
213C22×#67—52no—
214C23×Dic3—52no—
215C2×#237—58no—
216C2×#237—108no—
217C2×#235—58no—
218C2×#235—108no—
219C22×D12—51no—
220C22×C4×D3—51no—
221C22×C4×D3—51no—
222C22×C4×D3—52no—
223C22×Dic6—51no—
224C22×Dic6—51no—
225C3×#121C2×D518yescomplemented
226C2×C3×C4⋊C4C2×D511yescharacteristic
227C2×C3×C22⋊C4C2×D512yes—
228C2×#217—52no—
229C2×#217—52no—
230#939—516no—
231#938—516no—
232#938—58no—
233C2×(C2×D3)⋊C4—52no—
234C2×C4⋊Dic3—52no—
235C2×C4⋊Dic3—51no—
236#924—58no—
237C2×Dic3⋊C4—52no—
238C2×Dic3⋊C4—52no—
239#897—58no—
240D3×C4⋊C4—58no—
241#884—516no—
242#878—516no—
243C24×C5C22×D311yescharacteristic
244C24×C5C22×D312yes—
245C23×D5—31no—
246C23×D5—31no—
247C2×C5×D4—24no—
248C2×C5×D4—44no—
249C2×C5×D4C22×D314yes—
250C2×C5×D4C22×D318yes—
251C22×C4×C5—24no—
252C22×C4×C5C22×D311yescharacteristic
253C22×C4×C5C22×D312yes—
254C22×C4×C5C22×D314yes—
255C22×C4×C5C22×D311yescharacteristic
256C2×C22⋊D5—34no—
257C2×C22⋊D5—34no—
258C2×C22⋊D5—38no—
259C2×C22⋊D5—38no—
260C2×C22⋊D5—64no—
261C2×C22⋊D5—64no—
262C2×C22⋊D5—68no—
263C2×C22⋊D5—124no—
264C22×Dic5—31no—
265C22×Dic5—31no—
266C22×Dic5—32no—
267C22×Dic5—32no—
268C22×Dic5—38no—
269C22×Dic5—68no—
270#711—632no—
271#709—632no—
272C2×D20—34no—
273C2×D20—64no—
274C2×C4×D5—38no—
275C2×C4×D5—34no—
276C2×C4×D5—34no—
277C2×C4×D5—38no—
278C2×C4×D5—64no—
279C2×C4×D5—124no—
280C2×Dic10—34no—
281C2×Dic10—34no—
282C2×Dic10—64no—
283C2×Dic10—64no—
284C5×C4⋊C4C22×D314yes—
285C5×C22⋊C4C22×D318yes—
286C22⋊Dic5—38no—
287C22⋊Dic5—38no—
288#685—38no—
289C4⋊Dic5—38no—
290C4⋊Dic5—34no—
291#683—38no—
292#683—38no—
293C22×#41—151no—
294C22×#41—151no—
295#537—1516no—
296C2×C22⋊Q8—151no—
297C2×C22⋊Q8—151no—
298C2×C22⋊Q8—152no—
299C2×#121—151no—
300C2×#121—152no—
301C2×#121—152no—
302C2×#121—152no—
303C2×#121D1511yescharacteristic, complemented
304C22×C4⋊C4—151no—
305C22×C3×C5—24no—
306C22×C3×C5—22no—
307C22×C3×C5—24no—
308C22×C3×C5—22no—
309C22×C3×C5—22no—
310C22×C3×C5—24no—
311C22×C3×C5—48no—
312C22×C3×C5—44no—
313C22×C3×C5C22×D412yes—
314C22×C3×C5H(5,𝔽2)12yes—
315C22×C3×C52−1+412yes—
316C22×C3×C5C2511yescharacteristic
317C2×D15—28no—
318C2×D15—22no—
319C2×D15—22no—
320C2×D15—22no—
321C2×D15—22no—
322C2×D15—22no—
323C2×D15—44no—
324C2×D15C22×D414yes—
325C3×C4×C5—22no—
326C3×C4×C5—24no—
327C3×C4×C5C22×D414yes—
328Dic15—22no—
329Dic15—24no—
330Dic15—24no—
331Dic15C22×D414yes—
332C24×C3C22×D511yescharacteristic
333C24×C3C22×D512yes—
334C23×D3—51no—
335C23×D3—51no—
336C2×C3×D4—24no—
337C2×C3×D4—44no—
338C2×C3×D4C22×D514yes—
339C2×C3×D4C22×D518yes—
340C22×C3×C4—24no—
341C22×C3×C4C22×D511yescharacteristic
342C22×C3×C4C22×D512yes—
343C22×C3×C4C22×D514yes—
344C22×C3×C4C22×D511yescharacteristic
345C2×#67—58no—
346C2×#67—54no—
347C2×#67—54no—
348C2×#67—58no—
349C2×#67—104no—
350C2×#67—104no—
351C2×#67—108no—
352C2×#67—204no—
353C22×Dic3—51no—
354C22×Dic3—58no—
355C22×Dic3—52no—
356C22×Dic3—52no—
357C22×Dic3—51no—
358C22×Dic3—108no—
359#237—1032no—
360#235—1032no—
361C2×D12—54no—
362C2×D12—104no—
363C2×C4×D3—58no—
364C2×C4×D3—54no—
365C2×C4×D3—54no—
366C2×C4×D3—58no—
367C2×C4×D3—104no—
368C2×C4×D3—204no—
369C2×Dic6—54no—
370C2×Dic6—54no—
371C2×Dic6—104no—
372C2×Dic6—104no—
373C3×C4⋊C4C22×D514yes—
374C3×C22⋊C4C22×D518yes—
375#217—58no—
376#217—58no—
377(C2×D3)⋊C4—58no—
378C4⋊Dic3—58no—
379C4⋊Dic3—54no—
380Dic3⋊C4—58no—
381Dic3⋊C4—58no—
382C23×C5—24no—
383C23×C5—22no—
384C23×C5—24no—
385C23×C5—22no—
386C23×C5—22no—
387C23×C5—24no—
388C23×C5C23×D312yes—
389C23×C5C23×D314yes—
390C23×C5C23×D311yescharacteristic
391C22×D5—34no—
392C22×D5—32no—
393C22×D5—32no—
394C22×D5—62no—
395C22×D5—62no—
396C22×D5—62no—
397C22×D5—62no—
398C22×D5—62no—
399C5×D4—28no—
400C5×D4—48no—
401C2×C4×C5—22no—
402C2×C4×C5—24no—
403C2×C4×C5—28no—
404C2×C4×C5D3×D414yes—
405C2×C4×C5C23×D312yes—
406C2×C4×C5C23×D314yes—
407C2×C4×C5C23×D312yes—
408C22⋊D5—68no—
409C22⋊D5—68no—
410C22⋊D5—616no—
411C22⋊D5—128no—
412C2×Dic5—34no—
413C2×Dic5—32no—
414C2×Dic5—34no—
415C2×Dic5—34no—
416C2×Dic5—32no—
417C2×Dic5—616no—
418C2×Dic5—62no—
419C2×Dic5—64no—
420C2×Dic5—64no—
421D20—68no—
422C4×D5—316no—
423C4×D5—68no—
424C4×D5—128no—
425Dic10—68no—
426Dic10—68no—
427C2×#41—158no—
428C2×#41—158no—
429C2×#41—308no—
430C2×#41—308no—
431C22×Q8—151no—
432C22×Q8—151no—
433C22×D4—151no—
434C22×D4—151no—
435C22×D4—152no—
436C22×D4—152no—
437C22×D4—151no—
438C22×D4C2×D1511yescharacteristic
439C22×D4C2×D1512yes—
440C23×C4—151no—
441C23×C4—152no—
442C23×C4—151no—
443C23×C4—152no—
444C23×C4C2×D1511yescharacteristic
445C22⋊Q8—158no—
446C22⋊Q8—158no—
447C22⋊Q8—1516no—
448#121—158no—
449#121—1516no—
450#121—1516no—
451#121—1516no—
452#121C2×D1518yescomplemented
453C2×C4⋊C4—152no—
454C2×C4⋊C4—151no—
455C2×C4⋊C4—152no—
456C2×C4⋊C4—152no—
457C2×C4⋊C4—158no—
458C2×C4⋊C4C2×D1511yescharacteristic
459C2×C22⋊C4—152no—
460C2×C22⋊C4—152no—
461C2×C22⋊C4—152no—
462C2×C22⋊C4C2×D1512yes—
463C2×C3×C5—44no—
464C2×C3×C5—42no—
465C2×C3×C5#53714yescomplemented
466C2×C3×C5C23×D411yescharacteristic
467C2×C3×C5C2×H(5,𝔽2)11yescharacteristic
468C2×C3×C5C2×2−1+411yescharacteristic
469D15—24no—
470D15—42no—
471C23×C3—24no—
472C23×C3—22no—
473C23×C3—24no—
474C23×C3—22no—
475C23×C3—22no—
476C23×C3—24no—
477C23×C3C23×D512yes—
478C23×C3C23×D514yes—
479C23×C3C23×D511yescharacteristic
480C22×D3—54no—
481C22×D3—52no—
482C22×D3—52no—
483C22×D3—102no—
484C22×D3—102no—
485C22×D3—102no—
486C22×D3—102no—
487C22×D3—102no—
488C3×D4—28no—
489C3×D4—48no—
490C2×C3×C4—22no—
491C2×C3×C4—24no—
492C2×C3×C4—28no—
493C2×C3×C4D4×D514yes—
494C2×C3×C4C23×D512yes—
495C2×C3×C4C23×D514yes—
496C2×C3×C4C23×D512yes—
497#67—108no—
498#67—108no—
499#67—1016no—
500#67—208no—
501C2×Dic3—54no—
502C2×Dic3—52no—
503C2×Dic3—54no—
504C2×Dic3—54no—
505C2×Dic3—52no—
506C2×Dic3—1016no—
507C2×Dic3—102no—
508C2×Dic3—104no—
509C2×Dic3—104no—
510D12—108no—
511C4×D3—516no—
512C4×D3—108no—
513C4×D3—208no—
514Dic6—108no—
515Dic6—108no—
516C22×C5—24no—
517C22×C5—22no—
518C22×C5—24no—
519C22×C5—22no—
520C22×C5—22no—
521C22×C5—24no—
522C22×C5—48no—
523C22×C5—44no—
524C22×C5C2×D3×D412yes—
525C22×C5#100412yes—
526C22×C5#101012yes—
527C22×C5C24×D311yescharacteristic
528C2×D5—34no—
529C2×D5—62no—
530C2×D5—62no—
531C2×D5—68no—
532C2×D5—62no—
533C2×D5—62no—
534C2×D5—62no—
535C2×D5—124no—
536C4×C5—22no—
537C4×C5—24no—
538C4×C5C2×D3×D414yes—
539Dic5—34no—
540Dic5—62no—
541Dic5—64no—
542Dic5—64no—
543C24—151no—
544C24—151no—
545C24C22×D1511yescharacteristic
546C24C22×D1512yes—
547#41—3032no—
548#41—3032no—
549C2×Q8—154no—
550C2×Q8—154no—
551C2×Q8—304no—
552C2×Q8—304no—
553C2×D4—24no—
554C2×D4—44no—
555C2×D4—154no—
556C2×D4—154no—
557C2×D4—158no—
558C2×D4—158no—
559C2×D4—154no—
560C2×D4—304no—
561C2×D4—304no—
562C2×D4—304no—
563C2×D4—308no—
564C2×D4—604no—
565C2×D4C22×D1514yes—
566C2×D4C22×D1518yes—
567C22×C4—24no—
568C22×C4—151no—
569C22×C4—158no—
570C22×C4—154no—
571C22×C4—158no—
572C22×C4—152no—
573C22×C4—151no—
574C22×C4—152no—
575C22×C4—154no—
576C22×C4—158no—
577C22×C4—308no—
578C22×C4—304no—
579C22×C4—604no—
580C22×C4C22×D1514yes—
581C22×C4C22×D1512yes—
582C22×C4C22×D1511yescharacteristic
583C22×C4C22×D1511yescharacteristic
584C4⋊C4—158no—
585C4⋊C4—154no—
586C4⋊C4—158no—
587C4⋊C4—158no—
588C4⋊C4C22×D1514yes—
589C22⋊C4—158no—
590C22⋊C4—158no—
591C22⋊C4—158no—
592C22⋊C4C22×D1518yes—
593C3×C5C2×#53711yescharacteristic, complemented, Hall
594C22×C3—24no—
595C22×C3—22no—
596C22×C3—24no—
597C22×C3—22no—
598C22×C3—22no—
599C22×C3—24no—
600C22×C3—48no—
601C22×C3—44no—
602C22×C3C2×D4×D512yes—
603C22×C3#414412yes—
604C22×C3#415012yes—
605C22×C3C24×D511yescharacteristic
606C2×D3—54no—
607C2×D3—108no—
608C2×D3—102no—
609C2×D3—102no—
610C2×D3—102no—
611C2×D3—102no—
612C2×D3—102no—
613C2×D3—204no—
614C3×C4—22no—
615C3×C4—24no—
616C3×C4C2×D4×D514yes—
617Dic3—54no—
618Dic3—102no—
619Dic3—104no—
620Dic3—104no—
621C2×C5—44no—
622C2×C5—42no—
623C2×C5#560814yescomplemented
624C2×C5C22×D3×D411yescharacteristic
625C2×C5C2×#100411yescharacteristic
626C2×C5C2×#101011yescharacteristic
627D5—64no—
628D5—122no—
629C23—22no—
630C23—24no—
631C23—22no—
632C23—24no—
633C23—22no—
634C23—24no—
635C23—154no—
636C23—152no—
637C23—152no—
638C23—302no—
639C23—302no—
640C23—302no—
641C23—302no—
642C23—302no—
643C23C23×D1512yes—
644C23C23×D1514yes—
645C23C23×D1511yescharacteristic
646Q8—308no—
647Q8—308no—
648D4—28no—
649D4—48no—
650D4—308no—
651D4—308no—
652D4—308no—
653D4—3016no—
654D4—608no—
655C2×C4—22no—
656C2×C4—24no—
657C2×C4—28no—
658C2×C4—154no—
659C2×C4—152no—
660C2×C4—1516no—
661C2×C4—154no—
662C2×C4—152no—
663C2×C4—154no—
664C2×C4—3016no—
665C2×C4—304no—
666C2×C4—302no—
667C2×C4—304no—
668C2×C4—308no—
669C2×C4—608no—
670C2×C4D4×D1514yes—
671C2×C4C23×D1514yes—
672C2×C4C23×D1512yes—
673C2×C4C23×D1512yes—
674C2×C3—44no—
675C2×C3—42no—
676C2×C3#6594214yescomplemented
677C2×C3C22×D4×D511yescharacteristic
678C2×C3C2×#414411yescharacteristic
679C2×C3C2×#415011yescharacteristic
680D3—104no—
681D3—202no—
682C5C2×#560811yescharacteristic, complemented, Sylow
683C22—22no—
684C22—24no—
685C22—22no—
686C22—24no—
687C22—22no—
688C22—24no—
689C22—44no—
690C22—48no—
691C22—154no—
692C22—308no—
693C22—302no—
694C22—302no—
695C22—302no—
696C22—302no—
697C22—302no—
698C22—604no—
699C22C2×D4×D1512yes—
700C22#9209512yes—
701C22#9210112yes—
702C22C24×D1511yescharacteristic
703C4—22no—
704C4—24no—
705C4—154no—
706C4—304no—
707C4—302no—
708C4—304no—
709C4C2×D4×D1514yes—
710C3C2×#6594211yescharacteristic, complemented, Sylow
711C2—42no—
712C2—44no—
713C2—304no—
714C2—602no—
715C2#1175636714yesdirect product factor
716C2C22×D4×D1511yescharacteristic
717C2C2×#9209511yescharacteristic
718C2C2×#9210111yescharacteristic
subgroupG/H
centerC23C23×D15
commutator, cosocleC22×C3×C5C25
FrattiniC22C24×D15
FittingC2×C3×C5×#121C2
socleC23×C3×C5C24
hypercenterC2×#121D15
hypocenterC3×C5C2×#537
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. C22×#6817C2semidirect
3. C2×C3×C5×#121C2semidirect
4. C2×#91828C2semidirect
5. C2×#91827C2semidirect
6. C2×#91827C2semidirect
7. C2×#91813C2semidirect
8. #11756367C2direct (N × H)
9. C2×#91786C2semidirect
10. C2×C4⋊C4×D15C2semidirect
11. C2×#91773C2semidirect
12. C2×#91767C2semidirect
23. C2×#6819C22semidirect
25. C2×#6817C22semidirect
32. C3×C5×#121C22semidirect
37. #91828C22semidirect
38. #91827C22semidirect
39. #91827C22semidirect
43. #91813C22semidirect
46. #91786C22semidirect
47. C4⋊C4×D15C22semidirect
48. #91773C22semidirect
49. #91767C22semidirect
53. C2×C5×#121D3semidirect
96. C2×C4×D15D4semidirect
115. C2×C3×#121D5semidirect
143. C5×#121C2×D3semidirect
204. C4×D15C2×D4semidirect
225. C3×#121C2×D5semidirect
303. C2×#121D15semidirect
452. #121C2×D15semidirect
465. C2×C3×C5#537semidirect
593. C3×C5C2×#537semidirect
623. C2×C5#5608semidirect
676. C2×C3#65942semidirect
682. C5C2×#5608semidirect
710. C3C2×#65942semidirect
715. C2#11756367direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#68192
C22×#68172
C2×C3×C5×#1212
C2×#918282
C2×#918272
C2×#918132
#117563672
C2×#917862
C2×C4⋊C4×D152
C2×#917732
C2×#917672
C2×#659423
C2×#56085