Finite Group Databasebeta

← C2×#11756388 #14480571

Subgroups — C2×#11756388 #14480571

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×#6821C211yesmaximal, characteristic, complemented
2C22×#6817C211yesmaximal, characteristic, complemented
3C2×C3×C5×C22⋊Q8C211yesmaximal, characteristic, complemented
4C2×#91835C211yesmaximal, characteristic, complemented
5C2×#91819C211yesmaximal, characteristic, complemented
6#11756388C2116yesmaximal, direct product factor
7C2×#91785C212yesmaximal, complemented
8C2×#91784C212yesmaximal, complemented
9C2×#91784C211yesmaximal, characteristic, complemented
10C2×C4⋊C4×D15C211yesmaximal, characteristic, complemented
11C2×#91773C212yesmaximal, complemented
12C2×#91773C212yesmaximal, complemented
13C2×#65963—31nomaximal, Hall
14C22×C3×C5×Q8C2211yescharacteristic
15C23×C3×C4×C5C2211yescharacteristic
16C22×#1220C2211yescharacteristic
17C22×#1220C2211yescharacteristic
18C22×#1220C2212yes—
19C2×#6821—28no—
20C2×#6821C2218yescomplemented
21C2×#6817—28no—
22C2×#6817C2218yescomplemented
23C22×D60C2211yescharacteristic
24C22×D60C2211yescharacteristic
25C22×D60C2212yes—
26C22×D60C2212yes—
27C22×C4×D15C2211yescharacteristic
28C22×C4×D15C2212yes—
29C22×C4×D15C2212yes—
30C22×C4×D15C2211yescharacteristic
31C22×Dic30C2211yescharacteristic
32C3×C5×C22⋊Q8C2218yescomplemented
33C2×C3×C5×C4⋊C4C2211yescharacteristic
34C2×C3×C5×C4⋊C4C2212yes—
35C2×C3×C5×C22⋊C4C2212yes—
36#91835C2218yescomplemented
37#91819C2218yescomplemented
38C2×#6714C2212yes—
39C2×#6714C2212yes—
40C2×#6714C2212yes—
41C2×C4⋊Dic15C2211yescharacteristic
42C2×#6712C2212yes—
43C2×#6712C2212yes—
44#91785C22116yescomplemented
45#91784C2218yescomplemented
46#91784C22116yescomplemented
47C4⋊C4×D15C2218yescomplemented
48#91773C22116yescomplemented
49#91773C22116yescomplemented
50C2×#5629—51nomaximal, Hall
51C22×#713—31no—
52C22×#709—31no—
53C2×C5×C22⋊Q8D311yescharacteristic, complemented
54C2×#4092—31no—
55C2×#4076—31no—
56#65963—316no—
57C2×#4042—32no—
58C2×#4041—31no—
59C2×#4041—32no—
60C2×D5×C4⋊C4—31no—
61C2×#4030—32no—
62C2×#4030—32no—
63C24×C3×C5C2311yescharacteristic
64C23×D15C2312yes—
65C23×D15C2311yescharacteristic
66C23×D15C2311yescharacteristic
67C2×C3×C5×Q8—24no—
68C2×C3×C5×Q8C2314yes—
69C22×C3×C4×C5—24no—
70C22×C3×C4×C5C2312yes—
71C22×C3×C4×C5C2312yes—
72C22×C3×C4×C5C2311yescharacteristic
73C22×C3×C4×C5C2314yes—
74C22×C3×C4×C5C2311yescharacteristic
75C2×#1220—24no—
76C2×#1220—24no—
77C2×#1220—44no—
78C2×#1220C2314yes—
79C2×#1220C2314yes—
80C2×#1220C2318yes—
81C22×Dic15C2312yes—
82C22×Dic15C2311yescharacteristic
83C22×Dic15C2311yescharacteristic
84#6821—232no—
85#6817—232no—
86C2×D60—24no—
87C2×D60—28no—
88C2×D60—24no—
89C2×D60—44no—
90C2×D60C2318yes—
91C2×D60C2314yes—
92C2×D60C2314yes—
93C2×D60C2318yes—
94C2×C4×D15—24no—
95C2×C4×D15—28no—
96C2×C4×D15—44no—
97C2×C4×D15D418yescomplemented
98C2×C4×D15C2318yes—
99C2×C4×D15C2314yes—
100C2×C4×D15C2318yes—
101C2×C4×D15C2314yes—
102C2×Dic30—24no—
103C2×Dic30C2314yes—
104C3×C5×C4⋊C4C2314yes—
105C3×C5×C4⋊C4C2318yes—
106C3×C5×C22⋊C4C2318yes—
107#6714C2318yes—
108#6714C2318yes—
109#6714C2318yes—
110C4⋊Dic15C2314yes—
111#6712C2318yes—
112#6712C2318yes—
113C22×#239—51no—
114C22×#235—51no—
115C2×C3×C22⋊Q8D511yescharacteristic, complemented
116C2×#946—51no—
117C2×#930—51no—
118#5629—516no—
119C2×#896—52no—
120C2×#895—51no—
121C2×#895—52no—
122C2×D3×C4⋊C4—51no—
123C2×#884—52no—
124C2×#884—52no—
125C22×C5×Q8C2×D311yescharacteristic
126C23×C4×C5C2×D311yescharacteristic
127C22×C22⋊D5—31no—
128C22×C22⋊D5—31no—
129C22×C22⋊D5—32no—
130C2×#713—38no—
131C2×#713—68no—
132C2×#709—38no—
133C2×#709—68no—
134C22×D20—32no—
135C22×D20—31no—
136C22×D20—31no—
137C22×D20—32no—
138C22×C4×D5—31no—
139C22×C4×D5—32no—
140C22×C4×D5—31no—
141C22×C4×D5—32no—
142C22×Dic10—31no—
143C5×C22⋊Q8C2×D318yescomplemented
144C2×C5×C4⋊C4C2×D311yescharacteristic
145C2×C5×C4⋊C4C2×D312yes—
146C2×C5×C22⋊C4C2×D312yes—
147#4092—38no—
148#4076—38no—
149C2×#685—32no—
150C2×#685—32no—
151C2×#685—32no—
152C2×C4⋊Dic5—31no—
153C2×#683—32no—
154C2×#683—32no—
155#4042—316no—
156#4041—38no—
157#4041—316no—
158D5×C4⋊C4—38no—
159#4030—316no—
160#4030—316no—
161C2×#537—151noSylow
162C23×C3×C5—22no—
163C23×C3×C5—22no—
164C23×C3×C5—22no—
165C23×C3×C5C2412yes—
166C23×C3×C5C2411yescharacteristic
167C22×D15—22no—
168C22×D15—22no—
169C22×D15—24no—
170C22×D15—22no—
171C22×D15—22no—
172C22×D15—24no—
173C22×D15—24no—
174C22×D15—22no—
175C22×D15C2×D414yes—
176C22×D15C2414yes—
177C22×D15C2412yes—
178C22×D15C2412yes—
179C3×C5×Q8—28no—
180C2×C3×C4×C5—22no—
181C2×C3×C4×C5—24no—
182C2×C3×C4×C5—24no—
183C2×C3×C4×C5—28no—
184C2×C3×C4×C5C2×D414yes—
185C2×C3×C4×C5C2414yes—
186C2×C3×C4×C5C2414yes—
187C2×C3×C4×C5C2412yes—
188C2×C3×C4×C5C2412yes—
189#1220—28no—
190#1220—28no—
191#1220—48no—
192C2×Dic15—22no—
193C2×Dic15—24no—
194C2×Dic15C2×D414yes—
195C2×Dic15C2414yes—
196C2×Dic15C2412yes—
197C2×Dic15C2412yes—
198D60—28no—
199D60—216no—
200D60—28no—
201D60—48no—
202C4×D15—28no—
203C4×D15—216no—
204C4×D15—48no—
205C4×D15C2×D4116yescomplemented
206Dic30—28no—
207C22×C3×Q8C2×D511yescharacteristic
208C23×C3×C4C2×D511yescharacteristic
209C22×#67—51no—
210C22×#67—51no—
211C22×#67—52no—
212C2×#239—58no—
213C2×#239—108no—
214C2×#235—58no—
215C2×#235—108no—
216C22×D12—51no—
217C22×D12—52no—
218C22×D12—51no—
219C22×D12—52no—
220C22×C4×D3—51no—
221C22×C4×D3—51no—
222C22×C4×D3—52no—
223C22×C4×D3—52no—
224C22×Dic6—51no—
225C3×C22⋊Q8C2×D518yescomplemented
226C2×C3×C4⋊C4C2×D511yescharacteristic
227C2×C3×C4⋊C4C2×D512yes—
228C2×C3×C22⋊C4C2×D512yes—
229#946—58no—
230#930—58no—
231C2×(C2×D3)⋊C4—52no—
232C2×(C2×D3)⋊C4—52no—
233C2×(C2×D3)⋊C4—52no—
234C2×C4⋊Dic3—51no—
235C2×Dic3⋊C4—52no—
236C2×Dic3⋊C4—52no—
237#896—516no—
238#895—58no—
239#895—516no—
240D3×C4⋊C4—58no—
241#884—516no—
242#884—516no—
243C24×C5C22×D311yescharacteristic
244C23×D5—31no—
245C23×D5—32no—
246C23×D5—31no—
247C2×C5×Q8—24no—
248C2×C5×Q8C22×D314yes—
249C22×C4×C5—24no—
250C22×C4×C5C22×D312yes—
251C22×C4×C5C22×D312yes—
252C22×C4×C5C22×D311yescharacteristic
253C22×C4×C5C22×D314yes—
254C22×C4×C5C22×D311yescharacteristic
255C2×C22⋊D5—34no—
256C2×C22⋊D5—34no—
257C2×C22⋊D5—38no—
258C2×C22⋊D5—64no—
259C2×C22⋊D5—64no—
260C2×C22⋊D5—124no—
261C22×Dic5—31no—
262C22×Dic5—31no—
263C22×Dic5—32no—
264#713—632no—
265#709—632no—
266C2×D20—34no—
267C2×D20—38no—
268C2×D20—34no—
269C2×D20—38no—
270C2×D20—64no—
271C2×D20—68no—
272C2×D20—64no—
273C2×D20—124no—
274C2×C4×D5—38no—
275C2×C4×D5—34no—
276C2×C4×D5—34no—
277C2×C4×D5—38no—
278C2×C4×D5—38no—
279C2×C4×D5—68no—
280C2×C4×D5—64no—
281C2×C4×D5—124no—
282C2×Dic10—34no—
283C2×Dic10—64no—
284C5×C4⋊C4C22×D314yes—
285C5×C4⋊C4C22×D318yes—
286C5×C22⋊C4C22×D318yes—
287#685—38no—
288#685—38no—
289#685—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—152no—
298C2×C22⋊Q8D1511yescharacteristic, complemented
299C2×#121—151no—
300C2×#121—151no—
301C2×#121—152no—
302C2×#121—152no—
303C2×#121—152no—
304C22×C4⋊C4—151no—
305C22×C3×C5—22no—
306C22×C3×C5—22no—
307C22×C3×C5—22no—
308C22×C3×C5—44no—
309C22×C3×C5C22×D412yes—
310C22×C3×C5H(5,𝔽2)12yes—
311C22×C3×C52−1+412yes—
312C22×C3×C5C2511yescharacteristic
313C2×D15—28no—
314C2×D15—22no—
315C2×D15—22no—
316C2×D15—24no—
317C2×D15—22no—
318C2×D15—22no—
319C2×D15—24no—
320C2×D15—24no—
321C2×D15—22no—
322C2×D15—48no—
323C2×D15—44no—
324C2×D15C22×D414yes—
325C3×C4×C5—22no—
326C3×C4×C5—24no—
327C3×C4×C5—24no—
328C3×C4×C5C22×D414yes—
329Dic15—22no—
330Dic15—24no—
331Dic15C22×D414yes—
332C24×C3C22×D511yescharacteristic
333C23×D3—51no—
334C23×D3—52no—
335C23×D3—51no—
336C2×C3×Q8—24no—
337C2×C3×Q8C22×D514yes—
338C22×C3×C4—24no—
339C22×C3×C4C22×D512yes—
340C22×C3×C4C22×D512yes—
341C22×C3×C4C22×D511yescharacteristic
342C22×C3×C4C22×D514yes—
343C22×C3×C4C22×D511yescharacteristic
344C2×#67—54no—
345C2×#67—54no—
346C2×#67—58no—
347C2×#67—104no—
348C2×#67—104no—
349C2×#67—204no—
350C22×Dic3—51no—
351C22×Dic3—52no—
352C22×Dic3—51no—
353#239—1032no—
354#235—1032no—
355C2×D12—58no—
356C2×D12—54no—
357C2×D12—54no—
358C2×D12—58no—
359C2×D12—104no—
360C2×D12—108no—
361C2×D12—104no—
362C2×D12—204no—
363C2×C4×D3—58no—
364C2×C4×D3—54no—
365C2×C4×D3—58no—
366C2×C4×D3—54no—
367C2×C4×D3—58no—
368C2×C4×D3—108no—
369C2×C4×D3—104no—
370C2×C4×D3—204no—
371C2×Dic6—54no—
372C2×Dic6—104no—
373C3×C4⋊C4C22×D514yes—
374C3×C4⋊C4C22×D518yes—
375C3×C22⋊C4C22×D518yes—
376(C2×D3)⋊C4—58no—
377(C2×D3)⋊C4—58no—
378(C2×D3)⋊C4—58no—
379C4⋊Dic3—54no—
380Dic3⋊C4—58no—
381Dic3⋊C4—58no—
382C23×C5—22no—
383C23×C5—22no—
384C23×C5—22no—
385C23×C5C23×D312yes—
386C23×C5C23×D311yescharacteristic
387C22×D5—34no—
388C22×D5—32no—
389C22×D5—34no—
390C22×D5—32no—
391C22×D5—62no—
392C22×D5—62no—
393C22×D5—64no—
394C22×D5—62no—
395C22×D5—64no—
396C22×D5—62no—
397C22×D5—62no—
398C22×D5—64no—
399C5×Q8—28no—
400C2×C4×C5—22no—
401C2×C4×C5—24no—
402C2×C4×C5—24no—
403C2×C4×C5—28no—
404C2×C4×C5D3×D414yes—
405C2×C4×C5C23×D314yes—
406C2×C4×C5C23×D314yes—
407C2×C4×C5C23×D312yes—
408C2×C4×C5C23×D312yes—
409C22⋊D5—68no—
410C22⋊D5—68no—
411C22⋊D5—128no—
412C2×Dic5—34no—
413C2×Dic5—32no—
414C2×Dic5—34no—
415C2×Dic5—32no—
416C2×Dic5—62no—
417C2×Dic5—64no—
418D20—68no—
419D20—616no—
420D20—68no—
421D20—128no—
422C4×D5—316no—
423C4×D5—616no—
424C4×D5—68no—
425C4×D5—128no—
426Dic10—68no—
427C2×#41—158no—
428C2×#41—158no—
429C2×#41—308no—
430C2×#41—308no—
431C22×Q8—151no—
432C22×Q8C2×D1511yescharacteristic
433C22×D4—151no—
434C22×D4—151no—
435C22×D4—152no—
436C22×D4—151no—
437C22×D4—152no—
438C22×D4—151no—
439C22×D4—152no—
440C23×C4—151no—
441C23×C4—152no—
442C23×C4—151no—
443C23×C4—152no—
444C23×C4C2×D1511yescharacteristic
445C22⋊Q8—158no—
446C22⋊Q8—1516no—
447C22⋊Q8C2×D1518yescomplemented
448#121—158no—
449#121—158no—
450#121—1516no—
451#121—1516no—
452#121—1516no—
453C2×C4⋊C4—152no—
454C2×C4⋊C4—151no—
455C2×C4⋊C4—152no—
456C2×C4⋊C4—158no—
457C2×C4⋊C4C2×D1511yescharacteristic
458C2×C4⋊C4C2×D1512yes—
459C2×C22⋊C4—152no—
460C2×C22⋊C4—152no—
461C2×C22⋊C4—152no—
462C2×C22⋊C4C2×D1512yes—
463C2×C3×C5—42no—
464C2×C3×C5#53714yescomplemented
465C2×C3×C5C23×D411yescharacteristic
466C2×C3×C5C2×H(5,𝔽2)11yescharacteristic
467C2×C3×C5C2×2−1+411yescharacteristic
468D15—24no—
469D15—44no—
470D15—42no—
471C23×C3—22no—
472C23×C3—22no—
473C23×C3—22no—
474C23×C3C23×D512yes—
475C23×C3C23×D511yescharacteristic
476C22×D3—54no—
477C22×D3—52no—
478C22×D3—54no—
479C22×D3—52no—
480C22×D3—102no—
481C22×D3—102no—
482C22×D3—104no—
483C22×D3—102no—
484C22×D3—104no—
485C22×D3—102no—
486C22×D3—102no—
487C22×D3—104no—
488C3×Q8—28no—
489C2×C3×C4—22no—
490C2×C3×C4—24no—
491C2×C3×C4—24no—
492C2×C3×C4—28no—
493C2×C3×C4D4×D514yes—
494C2×C3×C4C23×D514yes—
495C2×C3×C4C23×D514yes—
496C2×C3×C4C23×D512yes—
497C2×C3×C4C23×D512yes—
498#67—108no—
499#67—108no—
500#67—208no—
501C2×Dic3—54no—
502C2×Dic3—52no—
503C2×Dic3—54no—
504C2×Dic3—52no—
505C2×Dic3—102no—
506C2×Dic3—104no—
507D12—108no—
508D12—1016no—
509D12—108no—
510D12—208no—
511C4×D3—516no—
512C4×D3—1016no—
513C4×D3—108no—
514C4×D3—208no—
515Dic6—108no—
516C22×C5—22no—
517C22×C5—22no—
518C22×C5—22no—
519C22×C5—44no—
520C22×C5C2×D3×D412yes—
521C22×C5#100712yes—
522C22×C5#100912yes—
523C22×C5C24×D311yescharacteristic
524C2×D5—34no—
525C2×D5—62no—
526C2×D5—62no—
527C2×D5—68no—
528C2×D5—64no—
529C2×D5—62no—
530C2×D5—64no—
531C2×D5—62no—
532C2×D5—62no—
533C2×D5—64no—
534C2×D5—128no—
535C2×D5—124no—
536C4×C5—22no—
537C4×C5—24no—
538C4×C5—24no—
539C4×C5C2×D3×D414yes—
540Dic5—34no—
541Dic5—62no—
542Dic5—64no—
543C24—151no—
544C24—151no—
545C24—152no—
546C24C22×D1511yescharacteristic
547#41—3032no—
548#41—3032no—
549C2×Q8—24no—
550C2×Q8—154no—
551C2×Q8—304no—
552C2×Q8C22×D1514yes—
553C2×D4—154no—
554C2×D4—154no—
555C2×D4—158no—
556C2×D4—154no—
557C2×D4—158no—
558C2×D4—154no—
559C2×D4—158no—
560C2×D4—304no—
561C2×D4—308no—
562C2×D4—304no—
563C2×D4—304no—
564C2×D4—304no—
565C2×D4—604no—
566C2×D4—604no—
567C22×C4—24no—
568C22×C4—151no—
569C22×C4—158no—
570C22×C4—154no—
571C22×C4—152no—
572C22×C4—151no—
573C22×C4—158no—
574C22×C4—154no—
575C22×C4—158no—
576C22×C4—308no—
577C22×C4—304no—
578C22×C4—604no—
579C22×C4C22×D1514yes—
580C22×C4C22×D1511yescharacteristic
581C22×C4C22×D1512yes—
582C22×C4C22×D1512yes—
583C22×C4C22×D1511yescharacteristic
584C4⋊C4—158no—
585C4⋊C4—154no—
586C4⋊C4—158no—
587C4⋊C4C22×D1514yes—
588C4⋊C4C22×D1518yes—
589C22⋊C4—158no—
590C22⋊C4—158no—
591C22⋊C4—158no—
592C22⋊C4C22×D1518yes—
593C3×C5C2×#53711yescharacteristic, complemented, Hall
594C22×C3—22no—
595C22×C3—22no—
596C22×C3—22no—
597C22×C3—44no—
598C22×C3C2×D4×D512yes—
599C22×C3#414712yes—
600C22×C3#414912yes—
601C22×C3C24×D511yescharacteristic
602C2×D3—54no—
603C2×D3—108no—
604C2×D3—102no—
605C2×D3—102no—
606C2×D3—104no—
607C2×D3—102no—
608C2×D3—104no—
609C2×D3—102no—
610C2×D3—102no—
611C2×D3—104no—
612C2×D3—208no—
613C2×D3—204no—
614C3×C4—22no—
615C3×C4—24no—
616C3×C4—24no—
617C3×C4C2×D4×D514yes—
618Dic3—54no—
619Dic3—102no—
620Dic3—104no—
621C2×C5—42no—
622C2×C5#562914yescomplemented
623C2×C5C22×D3×D411yescharacteristic
624C2×C5C2×#100711yescharacteristic
625C2×C5C2×#100911yescharacteristic
626D5—64no—
627D5—124no—
628D5—122no—
629C23—22no—
630C23—22no—
631C23—22no—
632C23—154no—
633C23—152no—
634C23—152no—
635C23—154no—
636C23—302no—
637C23—302no—
638C23—304no—
639C23—302no—
640C23—302no—
641C23—304no—
642C23—302no—
643C23—304no—
644C23C23×D1512yes—
645C23C23×D1511yescharacteristic
646Q8—28no—
647Q8—308no—
648D4—308no—
649D4—3016no—
650D4—308no—
651D4—308no—
652D4—308no—
653D4—608no—
654D4—608no—
655C2×C4—22no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—28no—
659C2×C4—154no—
660C2×C4—152no—
661C2×C4—1516no—
662C2×C4—154no—
663C2×C4—152no—
664C2×C4—3016no—
665C2×C4—302no—
666C2×C4—304no—
667C2×C4—308no—
668C2×C4—608no—
669C2×C4D4×D1514yes—
670C2×C4C23×D1512yes—
671C2×C4C23×D1514yes—
672C2×C4C23×D1514yes—
673C2×C4C23×D1512yes—
674C2×C3—42no—
675C2×C3#6596314yescomplemented
676C2×C3C22×D4×D511yescharacteristic
677C2×C3C2×#414711yescharacteristic
678C2×C3C2×#414911yescharacteristic
679D3—104no—
680D3—204no—
681D3—202no—
682C5C2×#562911yescharacteristic, complemented, Sylow
683C22—22no—
684C22—22no—
685C22—22no—
686C22—44no—
687C22—154no—
688C22—302no—
689C22—302no—
690C22—308no—
691C22—304no—
692C22—302no—
693C22—302no—
694C22—304no—
695C22—302no—
696C22—304no—
697C22—608no—
698C22—604no—
699C22C2×D4×D1512yes—
700C22#9209812yes—
701C22#9210012yes—
702C22C24×D1511yescharacteristic
703C4—22no—
704C4—24no—
705C4—24no—
706C4—154no—
707C4—302no—
708C4—304no—
709C4C2×D4×D1514yes—
710C3C2×#6596311yescharacteristic, complemented, Sylow
711C2—42no—
712C2—304no—
713C2—604no—
714C2—602no—
715C2#1175638814yesdirect product factor
716C2C22×D4×D1511yescharacteristic
717C2C2×#9209811yescharacteristic
718C2C2×#9210011yescharacteristic
subgroupG/H
centerC23C23×D15
commutator, cosocleC22×C3×C5C25
FrattiniC22C24×D15
FittingC2×C3×C5×C22⋊Q8C2
socleC23×C3×C5C24
hypercenterC2×C22⋊Q8D15
hypocenterC3×C5C2×#537
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C2×C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. C22×#6821C2semidirect
2. C22×#6817C2semidirect
3. C2×C3×C5×C22⋊Q8C2semidirect
4. C2×#91835C2semidirect
5. C2×#91819C2semidirect
6. #11756388C2direct (N × H)
7. C2×#91785C2semidirect
8. C2×#91784C2semidirect
9. C2×#91784C2semidirect
10. C2×C4⋊C4×D15C2semidirect
11. C2×#91773C2semidirect
12. C2×#91773C2semidirect
20. C2×#6821C22semidirect
22. C2×#6817C22semidirect
32. C3×C5×C22⋊Q8C22semidirect
36. #91835C22semidirect
37. #91819C22semidirect
44. #91785C22semidirect
45. #91784C22semidirect
46. #91784C22semidirect
47. C4⋊C4×D15C22semidirect
48. #91773C22semidirect
49. #91773C22semidirect
53. C2×C5×C22⋊Q8D3semidirect
97. C2×C4×D15D4semidirect
115. C2×C3×C22⋊Q8D5semidirect
143. C5×C22⋊Q8C2×D3semidirect
205. C4×D15C2×D4semidirect
225. C3×C22⋊Q8C2×D5semidirect
298. C2×C22⋊Q8D15semidirect
447. C22⋊Q8C2×D15semidirect
464. C2×C3×C5#537semidirect
593. C3×C5C2×#537semidirect
622. C2×C5#5629semidirect
675. C2×C3#65963semidirect
682. C5C2×#5629semidirect
710. C3C2×#65963semidirect
715. C2#11756388direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#68212
C22×#68172
C2×C3×C5×C22⋊Q82
C2×#918352
C2×#918192
#117563882
C2×#917852
C2×#917842
C2×C4⋊C4×D152
C2×#917732
C2×#659633
C2×#56295