Finite Group Databasebeta

← #12260352

Subgroups — #12260352

Order 1280.

5106 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#4147C211yesmaximal, characteristic
2C2×#65908C211yesmaximal, characteristic, complemented
3C2×C4×#713C211yesmaximal, characteristic, complemented
4C5×Q8×C22⋊C4C211yesmaximal, characteristic, complemented
5Q8×C22⋊Dic5C211yesmaximal, characteristic, complemented
6Q8×#685C211yesmaximal, characteristic, complemented
7Q8×#685C211yesmaximal, characteristic, complemented
8#10608344C213yesmaximal, complemented
9#10608344C213yesmaximal, complemented
10#10608341C213yesmaximal, complemented
11D5×#391C213yesmaximal, complemented
12#10605739C213yesmaximal, complemented
13#10605734C213yesmaximal, complemented
14#10605304C213yesmaximal, complemented
15#10605294C213yesmaximal, complemented
16C23×C5×Q8C2211yescharacteristic
17C2×#4147—28no—
18C2×#4147—28no—
19C2×#4147C4116yescomplemented
20C22×#713C2213yes—
21C22×#713C2211yescharacteristic
22C22×Q8×D5C2211yescharacteristic
23C22×Q8×D5C2213yes—
24C22×#709C2213yes—
25C22×#709C2213yes—
26C2×C4×C5×Q8C2211yescharacteristic
27C2×C4×C5×Q8C2211yescharacteristic
28C2×Q8×Dic5C2211yescharacteristic
29C2×Q8×Dic5C2211yescharacteristic
30#65908—28no—
31C4×#713—28no—
32C2×#4039C2213yes—
33C2×#4039C2213yes—
34C2×#4038C2213yes—
35C2×D5×C4⋊C4C2213yes—
36C2×C4×D20C2213yes—
37C2×C4×D20C2213yes—
38C2×#4018C2213yes—
39C2×C42×D5C2213yes—
40C5×#391C2213yes—
41C5×#391C2213yes—
42C5×#380C2213yes—
43C4×C5×C22⋊C4C2213yes—
44#65519C2213yes—
45#65519C2213yes—
46#65501C2213yes—
47C4×C22⋊Dic5C2213yes—
48#65276C2213yes—
49#65276C2213yes—
50#65263C2213yes—
51#65263C2213yes—
52#65246C2213yes—
53#65246C2211yescharacteristic
54#65245C2216yes—
55#65245C2213yes—
56#65245C2213yes—
57C4×#685C2213yes—
58C4×#685C2213yes—
59#65218C2213yes—
60#65218C2213yes—
61#64954C2216yes—
62#64954C2213yes—
63#64954C2213yes—
64#64953C2216yes—
65#64953C2216yes—
66D5×#95C2216yes—
67D5×#95C2216yes—
68#64935C2216yes—
69#64935C2213yes—
70#64935C2213yes—
71#34259—51nomaximal, Sylow
72C22×C5×Q8—24no—
73C22×C5×Q8—24no—
74C22×C5×Q8C2×C418yescomplemented
75C22×C5×Q8C2313yes—
76C22×C5×Q8C2311yescharacteristic
77C23×C4×C5C2313yes—
78C22×C22⋊D5C2313yes—
79C22×C22⋊D5C2311yescharacteristic
80#4147—2128no—
81C2×#713—212no—
82C2×#713—212no—
83C2×#713C2×C418yes—
84C2×#713C2×C4124yescomplemented
85C2×#713D418yes—
86C2×#713D418yes—
87C2×Q8×D5—24no—
88C2×Q8×D5—24no—
89C2×Q8×D5—212no—
90C2×Q8×D5—212no—
91C2×Q8×D5C2×C418yescomplemented
92C2×Q8×D5C2×C4124yescomplemented
93C2×#709—212no—
94C2×#709—212no—
95C2×#709—212no—
96C2×#709—212no—
97C2×#709C2×C4124yescomplemented
98C2×#709C2×C4124yescomplemented
99C22×D20C2313yes—
100C22×D20C2313yes—
101C22×C4×D5C2313yes—
102C22×C4×D5C2313yes—
103C22×C4×D5C2316yes—
104C22×C4×D5C2313yes—
105C22×C4×D5C2316yes—
106C22×C4×D5C2313yes—
107C22×Dic10C2313yes—
108C22×Dic10C2313yes—
109C4×C5×Q8—24no—
110C4×C5×Q8—24no—
111C2×C5×C4⋊C4C2313yes—
112C2×C5×C4⋊C4C2313yes—
113C2×C5×C22⋊C4C2311yescharacteristic
114C2×C5×C22⋊C4C2313yes—
115C2×C42×C5C2313yes—
116C2×C42×C5C2313yes—
117C2×C22⋊Dic5C2311yescharacteristic
118C2×C22⋊Dic5C2313yes—
119Q8×Dic5—24no—
120Q8×Dic5—24no—
121C2×#685C2313yes—
122C2×#685C2313yes—
123C2×#685C2316yes—
124C2×#685C2311yescharacteristic
125C2×#685C2311yescharacteristic
126C2×#685C2313yes—
127C2×#685C2313yes—
128C2×C4⋊Dic5C2313yes—
129C2×C4⋊Dic5C2313yes—
130C2×#683C2311yescharacteristic
131C2×#683C2313yes—
132C2×C4×Dic5C2311yescharacteristic
133C2×C4×Dic5C2313yes—
134C2×C4×Dic5C2313yes—
135C2×C4×Dic5C2313yes—
136#4039—212no—
137#4039—212no—
138#4038—212no—
139D5×C4⋊C4—212no—
140C4×D20—212no—
141C4×D20—212no—
142#4018—212no—
143C42×D5—212no—
144C5×#95C2313yes—
145C5×#95C2313yes—
146C5×#95C2316yes—
147#3963C2313yes—
148#3963C2313yes—
149#3963C2313yes—
150#3963C2316yes—
151#3963C2316yes—
152#3963C2316yes—
153#3963C2313yes—
154#3963C2313yes—
155#3963C2313yes—
156C22×2−1+4—51no—
157C2×#520—51no—
158C2×C4×#41—51no—
159Q8×C22⋊C4—51no—
160Q8×C22⋊C4—51no—
161Q8×C22⋊C4—51no—
162Q8×C22⋊C4D511yescharacteristic, complemented
163#2339—53no—
164#2339—53no—
165#2339—53no—
166#2339—53no—
167#2311—53no—
168#2310—53no—
169#2297—53no—
170C2×#391—53no—
171C24×C5C2411yescharacteristic
172C23×D5C2411yescharacteristic
173C23×D5C2413yes—
174C2×C5×Q8—232no—
175C2×C5×Q8—26no—
176C2×C5×Q8—26no—
177C2×C5×Q8C22×C4112yes—
178C2×C5×Q8C22×C414yes—
179C2×C5×Q8C2×D414yes—
180C2×C5×Q8C2×D414yes—
181C22×C4×C5—26no—
182C22×C4×C5—26no—
183C22×C4×C5C22×C4112yes—
184C22×C4×C5C2411yescharacteristic
185C22×C4×C5C2413yes—
186C22×C4×C5C2413yes—
187C22×C4×C5C2413yes—
188C22×C4×C5C2411yescharacteristic
189C22×C4×C5C2413yes—
190C2×C22⋊D5—26no—
191C2×C22⋊D5—26no—
192C2×C22⋊D5—22no—
193C2×C22⋊D5—22no—
194C2×C22⋊D5C22×C4112yes—
195C2×C22⋊D5C22×C414yes—
196C22×Dic5C2413yes—
197C22×Dic5C2413yes—
198C22×Dic5C2411yescharacteristic
199C22×Dic5C2413yes—
200C22×Dic5C2411yescharacteristic
201C22×Dic5C2411yescharacteristic
202#713—296no—
203#713C22⋊C4164yescomplemented
204Q8×D5—232no—
205Q8×D5—296no—
206#709—296no—
207#709—296no—
208C2×D20—26no—
209C2×D20—26no—
210C2×D20C22×C4112yes—
211C2×D20C22×C4112yes—
212C2×D20C2×D4112yes—
213C2×D20C2×D4112yes—
214C2×C4×D5—212no—
215C2×C4×D5—212no—
216C2×C4×D5—26no—
217C2×C4×D5—26no—
218C2×C4×D5—26no—
219C2×C4×D5—26no—
220C2×C4×D5—26no—
221C2×C4×D5—26no—
222C2×C4×D5—212no—
223C2×C4×D5—43no—
224C2×C4×D5—43no—
225C2×C4×D5—46no—
226C2×C4×D5—46no—
227C2×C4×D5C22×C4124yes—
228C2×C4×D5C22×C4112yes—
229C2×C4×D5C22×C4112yes—
230C2×C4×D5C2×D4112yes—
231C2×C4×D5C2×D4112yes—
232C2×Dic10—26no—
233C2×Dic10—26no—
234C2×Dic10—26no—
235C2×Dic10—26no—
236C2×Dic10C22×C4112yes—
237C2×Dic10C22×C4112yes—
238C5×C4⋊C4—26no—
239C5×C4⋊C4—26no—
240C5×C22⋊C4—22no—
241C5×C22⋊C4—43no—
242C42×C5—26no—
243C42×C5—26no—
244C22⋊Dic5—22no—
245C22⋊Dic5—43no—
246#685—26no—
247#685—26no—
248#685—212no—
249#685—22no—
250#685—22no—
251#685—43no—
252#685—43no—
253C4⋊Dic5—26no—
254C4⋊Dic5—26no—
255#683—22no—
256#683—26no—
257C4×Dic5—26no—
258C4×Dic5—26no—
259C4×Dic5—22no—
260C4×Dic5—26no—
261C2×2−1+4—516no—
262C2×2−1+4—108no—
263C2×2−1+4—108no—
264C22×#41—51no—
265C22×#41—53no—
266C22×#41—53no—
267C22×#41—53no—
268C23×Q8—53no—
269C23×Q8—51no—
270C23×Q8C2×D511yescharacteristic
271#520—108no—
272C4×#41—108no—
273C2×C4×Q8—51no—
274C2×C4×Q8—51no—
275C2×C4×Q8C2×D511yescharacteristic
276C2×C4×Q8C2×D511yescharacteristic
277C2×C4×D4—53no—
278C2×C4×D4—53no—
279C2×C4×D4—53no—
280C2×C4×D4—53no—
281C2×#117—53no—
282C2×#117—53no—
283C22×C4⋊C4—53no—
284C22×C42—53no—
285#391—53no—
286#391—53no—
287#391—53no—
288#391—53no—
289#391—53no—
290#391—53no—
291#391—53no—
292#391—56no—
293#391—53no—
294#391C2×D513yes—
295#391C2×D513yes—
296#390—53no—
297#390—51no—
298#386—56no—
299#386—53no—
300#386—53no—
301#386—56no—
302#386—53no—
303#386—53no—
304#381—56no—
305#381—56no—
306#380—53no—
307#380—53no—
308#380—53no—
309#380C2×D513yes—
310C4×C22⋊C4—53no—
311C4×C22⋊C4—53no—
312C4×C22⋊C4—53no—
313C4×C22⋊C4C2×D513yes—
314C2×#95—56no—
315C2×#95—56no—
316C23×C5—21no—
317C23×C5—21no—
318C23×C5—21no—
319C23×C5—21no—
320C23×C5—21no—
321C23×C5—21no—
322C23×C5C23×C412yes—
323C23×C5C2511yescharacteristic
324C22×D5—23no—
325C22×D5—23no—
326C22×D5—23no—
327C22×D5—23no—
328C22×D5—21no—
329C22×D5—21no—
330C22×D5—21no—
331C22×D5—21no—
332C22×D5—21no—
333C22×D5—21no—
334C22×D5C23×C412yes—
335C22×D5C23×C416yes—
336C22×D5C22×D416yes—
337C22×D5C22×D416yes—
338C5×Q8—224no—
339C5×Q8C2×C22⋊C4116yes—
340C2×C4×C5—21no—
341C2×C4×C5—23no—
342C2×C4×C5—23no—
343C2×C4×C5—21no—
344C2×C4×C5—224no—
345C2×C4×C5—23no—
346C2×C4×C5—21no—
347C2×C4×C5—23no—
348C2×C4×C5—21no—
349C2×C4×C5—21no—
350C2×C4×C5—23no—
351C2×C4×C5—23no—
352C2×C4×C5—23no—
353C2×C4×C5—23no—
354C2×C4×C5C23×C416yes—
355C2×C4×C5C23×C416yes—
356C2×C4×C5C22×D416yes—
357C2×C4×C5C22×D416yes—
358C2×C4×C52−1+412yescomplemented
359C22⋊D5—224no—
360C22⋊D5—28no—
361C2×Dic5—21no—
362C2×Dic5—23no—
363C2×Dic5—23no—
364C2×Dic5—21no—
365C2×Dic5—21no—
366C2×Dic5—23no—
367C2×Dic5—23no—
368C2×Dic5—21no—
369C2×Dic5—21no—
370C2×Dic5—23no—
371C2×Dic5—23no—
372C2×Dic5—23no—
373C2×Dic5—23no—
374C2×Dic5C23×C416yes—
375C2×Dic5C23×C412yes—
376C2×Dic5C22×D412yes—
377C2×Dic5C22×D412yes—
378C2×Dic52−1+412yescomplemented
379D20—224no—
380D20C2×C22⋊C4148yes—
381C4×D5—248no—
382C4×D5—224no—
383C4×D5—412no—
384C4×D5—412no—
385C4×D5—812no—
386C4×D5C2×C22⋊C4148yes—
387Dic10—224no—
388Dic10—224no—
3892−1+4—10128no—
390C2×#41—58no—
391C2×#41—524no—
392C2×#41—58no—
393C2×#41—58no—
394C2×#41—524no—
395C2×#41—524no—
396C2×#41—1012no—
397C2×#41—1012no—
398C2×#41—1012no—
399C2×#41—1012no—
400C2×#41—1012no—
401C2×#41—1012no—
402C22×Q8—24no—
403C22×Q8—24no—
404C22×Q8—524no—
405C22×Q8—58no—
406C22×Q8—53no—
407C22×Q8—53no—
408C22×Q8—1012no—
409C22×Q8—1012no—
410C22×Q8—104no—
411C22×Q8—104no—
412C22×Q8C4×D518yescomplemented
413C22×Q8C22×D513yes—
414C22×Q8C22×D511yescharacteristic
415C22×D4—53no—
416C22×D4—51no—
417C22×D4—53no—
418C22×D4—53no—
419C23×C4—53no—
420C23×C4—56no—
421C23×C4—53no—
422C23×C4—53no—
423C23×C4—53no—
424C23×C4—56no—
425C23×C4C22×D513yes—
426C4×Q8—24no—
427C4×Q8—24no—
428C4×Q8—104no—
429C4×Q8—104no—
430C4×D4—1012no—
431C4×D4—1012no—
432C4×D4—1012no—
433C4×D4—1012no—
434#117—1012no—
435#117—1012no—
436C2×C4⋊C4—53no—
437C2×C4⋊C4—53no—
438C2×C4⋊C4—51no—
439C2×C4⋊C4—53no—
440C2×C4⋊C4—1012no—
441C2×C4⋊C4C22×D513yes—
442C2×C4⋊C4C22×D513yes—
443C2×C22⋊C4—51no—
444C2×C22⋊C4—53no—
445C2×C22⋊C4—56no—
446C2×C22⋊C4—53no—
447C2×C22⋊C4—51no—
448C2×C22⋊C4—51no—
449C2×C22⋊C4—53no—
450C2×C22⋊C4—53no—
451C2×C22⋊C4—53no—
452C2×C22⋊C4C22×D511yescharacteristic
453C2×C22⋊C4C22×D513yes—
454C2×C42—53no—
455C2×C42—53no—
456C2×C42—53no—
457C2×C42—51no—
458C2×C42—1012no—
459C2×C42C22×D513yes—
460C2×C42C22×D513yes—
461#95—53no—
462#95—53no—
463#95—53no—
464#95—56no—
465#95—56no—
466#95—56no—
467#95—53no—
468#95—53no—
469#95—53no—
470#95C22×D513yes—
471#95C22×D516yes—
472#95C22×D513yes—
473C22×C5—22no—
474C22×C5—22no—
475C22×C5—22no—
476C22×C5—41no—
477C22×C5—41no—
478C22×C5—41no—
479C22×C5—41no—
480C22×C5C24×C411yescharacteristic
481C22×C5C23×D411yescharacteristic
482C22×C5C23×D411yescharacteristic
483C22×C5C2×2−1+411yescharacteristic
484C22×C5C2×2−1+411yescharacteristic
485C22×C5#58511yescharacteristic
486C22×C5#58511yescharacteristic
487C2×D5—26no—
488C2×D5—26no—
489C2×D5—26no—
490C2×D5—26no—
491C2×D5—26no—
492C2×D5—26no—
493C2×D5—22no—
494C2×D5—22no—
495C2×D5—22no—
496C2×D5—41no—
497C2×D5—41no—
498C2×D5—41no—
499C2×D5—41no—
500C2×D5C22×C22⋊C4112yes—
501C4×C5—26no—
502C4×C5—22no—
503C4×C5—43no—
504C4×C5—41no—
505C4×C5—43no—
506C4×C5C22×C22⋊C4112yes—
507Dic5—26no—
508Dic5—22no—
509Dic5—43no—
510Dic5—41no—
511Dic5—43no—
512Dic5C22×C22⋊C414yes—
513C24—53no—
514C24—51no—
515C24C23×D511yescharacteristic
516#41—564no—
517#41—1096no—
518#41—1096no—
519#41—1096no—
520C2×Q8—232no—
521C2×Q8—26no—
522C2×Q8—26no—
523C2×Q8—512no—
524C2×Q8—512no—
525C2×Q8—106no—
526C2×Q8—106no—
527C2×Q8—1096no—
528C2×Q8—1032no—
529C2×Q8—106no—
530C2×Q8—106no—
531C2×Q8C2×C4×D5112yes—
532C2×Q8C2×C4×D514yes—
533C2×Q8D4×D514yes—
534C2×Q8D4×D514yes—
535C2×D4—54no—
536C2×D4—512no—
537C2×D4—512no—
538C2×D4—512no—
539C2×D4—512no—
540C2×D4—512no—
541C2×D4—106no—
542C2×D4—106no—
543C2×D4—102no—
544C2×D4—102no—
545C2×D4—106no—
546C2×D4—106no—
547C22×C4—26no—
548C22×C4—26no—
549C22×C4—51no—
550C22×C4—512no—
551C22×C4—512no—
552C22×C4—512no—
553C22×C4—53no—
554C22×C4—51no—
555C22×C4—524no—
556C22×C4—512no—
557C22×C4—51no—
558C22×C4—53no—
559C22×C4—53no—
560C22×C4—106no—
561C22×C4—1012no—
562C22×C4—1012no—
563C22×C4—106no—
564C22×C4—106no—
565C22×C4—1012no—
566C22×C4—106no—
567C22×C4—106no—
568C22×C4—106no—
569C22×C4—203no—
570C22×C4—203no—
571C22×C4—206no—
572C22×C4—206no—
573C22×C4C2×C4×D5112yes—
574C22×C4C23×D513yes—
575C22×C4C23×D511yescharacteristic
576C22×C4C23×D513yes—
577C22×C4C23×D513yes—
578C22×C4C23×D511yescharacteristic
579C22×C4C23×D513yes—
580C4⋊C4—26no—
581C4⋊C4—26no—
582C4⋊C4—106no—
583C4⋊C4—102no—
584C4⋊C4—106no—
585C4⋊C4—106no—
586C22⋊C4—22no—
587C22⋊C4—43no—
588C22⋊C4—102no—
589C22⋊C4—106no—
590C22⋊C4—1012no—
591C22⋊C4—106no—
592C22⋊C4—102no—
593C22⋊C4—102no—
594C22⋊C4—203no—
595C22⋊C4—203no—
596C22⋊C4—203no—
597C42—26no—
598C42—26no—
599C42—102no—
600C42—106no—
601C42—106no—
602C42—106no—
603C2×C5—42no—
604C2×C5C23×C22⋊C411yescharacteristic
605C2×C5C4×2−1+411yescharacteristic
606C2×C5C4×2−1+411yescharacteristic
607C2×C5#348911yescharacteristic
608C2×C5#348911yescharacteristic
609C2×C5#349911yescharacteristic
610C2×C5#350011yescharacteristic
611D5—212no—
612D5—42no—
613C23—21no—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—56no—
620C23—56no—
621C23—56no—
622C23—52no—
623C23—103no—
624C23—103no—
625C23—103no—
626C23—103no—
627C23—101no—
628C23—101no—
629C23—101no—
630C23—101no—
631C23—101no—
632C23—101no—
633C23C22×C4×D512yes—
634C23C24×D511yescharacteristic
635Q8—224no—
636Q8—1024no—
637Q8—1024no—
638Q8D5×C22⋊C4116yes—
639D4—548no—
640D4—1024no—
641D4—108no—
642D4—1024no—
643C2×C4—21no—
644C2×C4—23no—
645C2×C4—23no—
646C2×C4—21no—
647C2×C4—224no—
648C2×C4—21no—
649C2×C4—23no—
650C2×C4—23no—
651C2×C4—21no—
652C2×C4—23no—
653C2×C4—23no—
654C2×C4—21no—
655C2×C4—23no—
656C2×C4—23no—
657C2×C4—52no—
658C2×C4—52no—
659C2×C4—52no—
660C2×C4—548no—
661C2×C4—56no—
662C2×C4—52no—
663C2×C4—1048no—
664C2×C4—101no—
665C2×C4—103no—
666C2×C4—103no—
667C2×C4—101no—
668C2×C4—1024no—
669C2×C4—101no—
670C2×C4—103no—
671C2×C4—103no—
672C2×C4—101no—
673C2×C4—103no—
674C2×C4—103no—
675C2×C4—101no—
676C2×C4—103no—
677C2×C4—103no—
678C2×C4—2012no—
679C2×C4—2012no—
680C2×C4—4012no—
681C2×C4C22×C4×D516yes—
682C2×C4C22×C4×D516yes—
683C2×C4C2×D4×D516yes—
684C2×C4C2×D4×D516yes—
685C2×C4#414712yescomplemented
686C5#3425911yescharacteristic, complemented, Sylow
687C22—22no—
688C22—22no—
689C22—22no—
690C22—41no—
691C22—41no—
692C22—41no—
693C22—41no—
694C22—512no—
695C22—106no—
696C22—106no—
697C22—106no—
698C22—106no—
699C22—106no—
700C22—106no—
701C22—102no—
702C22—102no—
703C22—102no—
704C22—201no—
705C22—201no—
706C22—201no—
707C22—201no—
708C22C23×C4×D511yescharacteristic
709C22C22×D4×D511yescharacteristic
710C22C22×D4×D511yescharacteristic
711C22C2×#414711yescharacteristic
712C22#6628311yescharacteristic
713C22D5×2−1+411yescharacteristic
714C22#6628711yescharacteristic
715C4—22no—
716C4—26no—
717C4—41no—
718C4—43no—
719C4—43no—
720C4—54no—
721C4—106no—
722C4—102no—
723C4—203no—
724C4—201no—
725C4—203no—
726C4C2×D5×C22⋊C4112yes—
727C2—42no—
728C2—1012no—
729C2—202no—
730C2C22×D5×C22⋊C411yescharacteristic
731C2C4×#414711yescharacteristic
732C2#1061777411yescharacteristic
733C2#1061861511yescharacteristic
734C2#1061861611yescharacteristic
735C2#1061864611yescharacteristic
736C2#1061864711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutatorC22×C5C24×C4
FittingC5×Q8×C22⋊C4C2
socle, cosocleC23×C5C25
prime radicalC22×#4147C2
hypercenterQ8×C22⋊C4D5
hypocenterC5#34259
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23 ◁ Q8×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×#65908C2semidirect
3. C2×C4×#713C2semidirect
4. C5×Q8×C22⋊C4C2semidirect
5. Q8×C22⋊Dic5C2semidirect
6. Q8×#685C2semidirect
7. Q8×#685C2semidirect
8. #10608344C2semidirect
9. #10608344C2semidirect
10. #10608341C2semidirect
11. D5×#391C2semidirect
12. #10605739C2semidirect
13. #10605734C2semidirect
14. #10605304C2semidirect
15. #10605294C2semidirect
19. C2×#4147C4semidirect
74. C22×C5×Q8C2×C4semidirect
84. C2×#713C2×C4semidirect
91. C2×Q8×D5C2×C4semidirect
92. C2×Q8×D5C2×C4semidirect
97. C2×#709C2×C4semidirect
98. C2×#709C2×C4semidirect
162. Q8×C22⋊C4D5semidirect
203. #713C22⋊C4semidirect
358. C2×C4×C52−1+4semidirect
378. C2×Dic52−1+4semidirect
412. C22×Q8C4×D5semidirect
685. C2×C4#4147semidirect
686. C5#34259semidirect

Maximal subgroups

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

subgroupindex
C22×#41472
C2×#659082
C2×C4×#7132
C5×Q8×C22⋊C42
Q8×C22⋊Dic52
Q8×#6852
#106083442
#106083412
D5×#3912
#106057392
#106057342
#106053042
#106052942
#342595