Finite Group Databasebeta

← C2×#11753668 #14479085

Subgroups — C2×#11753668 #14479085

Order 1920.

3280 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×#6771C211yesmaximal, characteristic
2C2×C4⋊C4×D15C211yesmaximal, characteristic, complemented
3C2×C5×#892C211yesmaximal, characteristic, complemented
4C2×C3×D5×C4⋊C4C211yesmaximal, characteristic, complemented
5C2×C4×#1202C212yesmaximal, complemented
6C2×#91440C212yesmaximal, complemented
7C2×D3×C4⋊Dic5C211yesmaximal, characteristic, complemented
8C2×#91406C212yesmaximal, complemented
9C2×#91358C211yesmaximal, characteristic, complemented
10C2×#91347C211yesmaximal, characteristic, complemented
11C2×#91324C212yesmaximal, complemented
12#11753668C2116yesmaximal, direct product factor
13C2×#65857—31nomaximal, Hall
14C22×C4×D15C2212yes—
15C22×C4×D15C2211yescharacteristic
16C22×C4×C5×D3C2211yescharacteristic
17C22×C3×C4×D5C2212yes—
18C22×C3×C4×D5C2211yescharacteristic
19C22×#1204C2211yescharacteristic
20C22×#1203C2211yescharacteristic
21C22×#1202C2211yescharacteristic
22C22×#1201C2211yescharacteristic
23C22×D3×Dic5C2212yes—
24C2×#6771C4116yescomplemented
25C2×#6771C2218yes—
26C2×C3×C5×C4⋊C4C2211yescharacteristic
27C2×C4⋊Dic15C2211yescharacteristic
28C2×#6712C2212yes—
29C4⋊C4×D15C2218yescomplemented
30C2×C5×(C2×D3)⋊C4C2212yes—
31C2×C5×C4⋊Dic3C2211yescharacteristic
32C2×C4×C5×Dic3C2212yes—
33C5×#892C2218yescomplemented
34C2×C3×C4⋊Dic5C2211yescharacteristic
35C2×C3×#683C2212yes—
36C3×D5×C4⋊C4C2218yescomplemented
37C2×Dic3⋊Dic5C2212yes—
38C2×#6667C2212yes—
39C2×#6665C2212yes—
40C2×Dic3×Dic5C2212yes—
41C2×Dic3×Dic5C2212yes—
42C4×#1202C22116yescomplemented
43#91440C22116yescomplemented
44D3×C4⋊Dic5C2218yescomplemented
45#91406C22116yescomplemented
46#91358C2218yescomplemented
47#91347C2218yescomplemented
48#91324C22116yescomplemented
49C2×#5504—51nomaximal, Hall
50C22×#709—31no—
51C2×C5×#117—31no—
52C22×C4⋊Dic5—31no—
53#65857—316no—
54C2×#4038—31no—
55C2×#4038—31no—
56C2×D5×C4⋊C4—31no—
57C2×D5×C4⋊C4D311yescharacteristic, complemented
58C2×#4027—32no—
59C2×#4027—32no—
60C2×C4×D20—32no—
61C2×C4×Dic10—32no—
62C23×D15C2311yescharacteristic
63C23×C5×D3C2311yescharacteristic
64C23×C3×D5C2311yescharacteristic
65C22×C3×C4×C5C2312yes—
66C22×C3×C4×C5C2311yescharacteristic
67C22×Dic15C2312yes—
68C22×Dic15C2311yescharacteristic
69C2×C4×D15—44no—
70C2×C4×D15C2×C418yescomplemented
71C2×C4×D15C2318yes—
72C2×C4×D15C2314yes—
73C22×C5×Dic3C2312yes—
74C22×C5×Dic3C2311yescharacteristic
75C2×C4×C5×D3C2×C418yescomplemented
76C2×C4×C5×D3C2314yes—
77C22×C3×Dic5C2312yes—
78C22×C3×Dic5C2311yescharacteristic
79C2×C3×C4×D5—44no—
80C2×C3×C4×D5C2×C418yescomplemented
81C2×C3×C4×D5C2318yes—
82C2×C3×C4×D5C2314yes—
83C2×#1204C2×C418yescomplemented
84C2×#1204C2314yes—
85C2×#1203C2×C418yescomplemented
86C2×#1203C2314yes—
87C2×#1202C2×C418yescomplemented
88C2×#1202C2314yes—
89C2×#1201C2×C418yescomplemented
90C2×#1201C2314yes—
91C2×D3×Dic5—44no—
92C2×D3×Dic5C2318yes—
93#6771C2×C4164yescomplemented
94C3×C5×C4⋊C4C2314yes—
95C4⋊Dic15C2314yes—
96#6712C2318yes—
97C5×(C2×D3)⋊C4C2318yes—
98C5×C4⋊Dic3C2314yes—
99C4×C5×Dic3C2318yes—
100C3×C4⋊Dic5C2314yes—
101C3×#683C2318yes—
102Dic3⋊Dic5C2318yes—
103#6667C2318yes—
104#6665C2318yes—
105Dic3×Dic5C2318yes—
106Dic3×Dic5C2318yes—
107C22×#235—51no—
108C22×C3×C4⋊C4—51no—
109C2×C4×#67—52no—
110C2×C4×#67—52no—
111C2×#926—51no—
112#5504—516no—
113C2×#893—52no—
114C2×#892—51no—
115C2×#892D511yescharacteristic, complemented
116C2×D3×C4⋊C4—51no—
117C2×D3×C4⋊C4—51no—
118C2×#887—52no—
119C23×C4×C5—31no—
120C22×C22⋊D5—31no—
121C22×C22⋊D5—31no—
122C23×Dic5—32no—
123C2×#709—316no—
124C2×#709—38no—
125C22×D20—31no—
126C22×C4×D5—31no—
127C22×C4×D5—32no—
128C22×C4×D5C2×D312yes—
129C22×C4×D5C2×D311yescharacteristic
130C22×Dic10—31no—
131C5×#117—38no—
132C2×C5×C4⋊C4—31no—
133C2×C5×C4⋊C4C2×D311yescharacteristic
134C2×C5×C22⋊C4—32no—
135C2×C42×C5—32no—
136C2×#685—32no—
137C2×#685—32no—
138C2×C4⋊Dic5—31no—
139C2×C4⋊Dic5—32no—
140C2×C4⋊Dic5—38no—
141C2×C4⋊Dic5C2×D311yescharacteristic
142C2×#683—32no—
143C2×#683C2×D312yes—
144C2×C4×Dic5—32no—
145C2×C4×Dic5—32no—
146#4038—38no—
147#4038—38no—
148D5×C4⋊C4—38no—
149D5×C4⋊C4C2×D318yescomplemented
150#4027—316no—
151#4027—316no—
152C4×D20—316no—
153C4×Dic10—316no—
154C2×#520—151noSylow
155C23×C3×C5C2411yescharacteristic
156C22×D15—22no—
157C22×D15—22no—
158C22×D15C22×C414yes—
159C22×D15C2412yes—
160C22×C5×D3—22no—
161C22×C5×D3—22no—
162C22×C5×D3C22×C414yes—
163C22×C5×D3C2412yes—
164C22×C3×D5—22no—
165C22×C3×D5—22no—
166C22×C3×D5C22×C414yes—
167C22×C3×D5C2412yes—
168C2×C3×C4×C5—24no—
169C2×C3×C4×C5C22×C414yes—
170C2×C3×C4×C5C2414yes—
171C2×C3×C4×C5C2412yes—
172C2×Dic15—24no—
173C2×Dic15C22×C414yes—
174C2×Dic15C2414yes—
175C2×Dic15C2412yes—
176C4×D15—48no—
177C4×D15C22×C4116yescomplemented
178C2×C5×Dic3—24no—
179C2×C5×Dic3C22×C414yes—
180C2×C5×Dic3C2414yes—
181C2×C5×Dic3C2412yes—
182C4×C5×D3C22×C4116yescomplemented
183C2×C3×Dic5—24no—
184C2×C3×Dic5C22×C414yes—
185C2×C3×Dic5C2414yes—
186C2×C3×Dic5C2412yes—
187C3×C4×D5—48no—
188C3×C4×D5C22×C4116yescomplemented
189#1204C22×C4116yescomplemented
190#1203C22×C4116yescomplemented
191#1202C22×C4116yescomplemented
192#1201C22×C4116yescomplemented
193D3×Dic5—48no—
194C23×C3×C4—51no—
195C23×C3×C4—52no—
196C22×#67—51no—
197C22×#67—51no—
198C2×#235—516no—
199C2×#235—58no—
200C22×D12—51no—
201C22×C4×D3—51no—
202C22×C4×D3—52no—
203C22×C4×D3—52no—
204C22×C4×D3C2×D511yescharacteristic
205C22×Dic6—51no—
206C2×C3×C4⋊C4—52no—
207C2×C3×C4⋊C4—51no—
208C2×C3×C4⋊C4—58no—
209C2×C3×C4⋊C4C2×D511yescharacteristic
210C2×#217—52no—
211C4×#67—516no—
212C4×#67—516no—
213C2×(C2×D3)⋊C4—52no—
214C2×(C2×D3)⋊C4C2×D512yes—
215#926—58no—
216C2×C4⋊Dic3—51no—
217C2×C4⋊Dic3C2×D511yescharacteristic
218C2×Dic3⋊C4—52no—
219C2×Dic3⋊C4—52no—
220C2×C4×Dic3—52no—
221C2×C4×Dic3—52no—
222C2×C4×Dic3C2×D512yes—
223#893—516no—
224#892—58no—
225#892C2×D518yescomplemented
226D3×C4⋊C4—58no—
227D3×C4⋊C4—58no—
228#887—516no—
229C24×C5—31no—
230C23×D5—31no—
231C23×D5C22×D311yescharacteristic
232C22×C4×C5—31no—
233C22×C4×C5—38no—
234C22×C4×C5—34no—
235C22×C4×C5—32no—
236C22×C4×C5C22×D312yes—
237C22×C4×C5C22×D311yescharacteristic
238C2×C22⋊D5—38no—
239C2×C22⋊D5—34no—
240C2×C22⋊D5—38no—
241C2×C22⋊D5—34no—
242C22×Dic5—31no—
243C22×Dic5—32no—
244C22×Dic5—38no—
245C22×Dic5—124no—
246C22×Dic5C22×D312yes—
247C22×Dic5C22×D311yescharacteristic
248#709—364no—
249C2×D20—38no—
250C2×D20—34no—
251C2×C4×D5—38no—
252C2×C4×D5—34no—
253C2×C4×D5—38no—
254C2×C4×D5—44no—
255C2×C4×D5—124no—
256C2×C4×D5C4×D318yescomplemented
257C2×C4×D5C22×D318yes—
258C2×C4×D5C22×D314yes—
259C2×Dic10—38no—
260C2×Dic10—34no—
261C5×C4⋊C4—34no—
262C5×C4⋊C4C22×D314yes—
263C5×C22⋊C4—38no—
264C42×C5—38no—
265#685—38no—
266#685—38no—
267C4⋊Dic5—34no—
268C4⋊Dic5—38no—
269C4⋊Dic5C22×D314yes—
270#683—38no—
271#683C22×D318yes—
272C4×Dic5—38no—
273C4×Dic5—38no—
274C22×#41—151no—
275#520—1516no—
276C2×C4×Q8—152no—
277C2×C4×D4—152no—
278C2×C4×D4—152no—
279C2×C4×D4—152no—
280C2×#117—31no—
281C2×#117—151no—
282C2×#117—151no—
283C22×C4⋊C4—51no—
284C22×C4⋊C4—151no—
285C22×C4⋊C4—151no—
286C22×C3×C5C23×C412yes—
287C22×C3×C5H(5,𝔽2)12yes—
288C22×C3×C52−1+412yes—
289C22×C3×C5C2511yescharacteristic
290C2×D15—28no—
291C2×D15—22no—
292C2×D15—22no—
293C2×D15C23×C414yes—
294C2×C5×D3—28no—
295C2×C5×D3—22no—
296C2×C5×D3—22no—
297C2×C5×D3C23×C414yes—
298C2×C3×D5—28no—
299C2×C3×D5—22no—
300C2×C3×D5—22no—
301C2×C3×D5C23×C414yes—
302C3×C4×C5—24no—
303C3×C4×C5C23×C414yes—
304Dic15—24no—
305Dic15C23×C414yes—
306C3×Dic5—24no—
307C3×Dic5C23×C414yes—
308C5×Dic3—24no—
309C5×Dic3C23×C414yes—
310C24×C3—51no—
311C23×D3—51no—
312C23×D3C22×D511yescharacteristic
313C22×C3×C4—51no—
314C22×C3×C4—58no—
315C22×C3×C4—54no—
316C22×C3×C4—52no—
317C22×C3×C4—58no—
318C22×C3×C4—204no—
319C22×C3×C4C22×D512yes—
320C22×C3×C4C22×D511yescharacteristic
321C2×#67—58no—
322C2×#67—54no—
323C2×#67—58no—
324C2×#67—54no—
325C22×Dic3—51no—
326C22×Dic3—52no—
327C22×Dic3C22×D512yes—
328C22×Dic3C22×D511yescharacteristic
329#235—564no—
330C2×D12—58no—
331C2×D12—54no—
332C2×C4×D3—58no—
333C2×C4×D3—54no—
334C2×C4×D3—58no—
335C2×C4×D3—58no—
336C2×C4×D3—204no—
337C2×C4×D3—204no—
338C2×C4×D3C4×D518yescomplemented
339C2×C4×D3C22×D514yes—
340C2×Dic6—58no—
341C2×Dic6—54no—
342C3×C4⋊C4—58no—
343C3×C4⋊C4—54no—
344C3×C4⋊C4C22×D514yes—
345#217—58no—
346(C2×D3)⋊C4—58no—
347(C2×D3)⋊C4C22×D518yes—
348C4⋊Dic3—54no—
349C4⋊Dic3C22×D514yes—
350Dic3⋊C4—58no—
351Dic3⋊C4—58no—
352C4×Dic3—58no—
353C4×Dic3—58no—
354C4×Dic3C22×D518yes—
355C23×C5—34no—
356C23×C5—32no—
357C23×C5—62no—
358C23×C5—62no—
359C23×C5C23×D311yescharacteristic
360C22×D5—22no—
361C22×D5—22no—
362C22×D5—34no—
363C22×D5—32no—
364C22×D5—62no—
365C22×D5—62no—
366C22×D5C2×C4×D314yes—
367C22×D5C23×D312yes—
368C2×C4×C5—24no—
369C2×C4×C5—34no—
370C2×C4×C5—32no—
371C2×C4×C5—316no—
372C2×C4×C5—34no—
373C2×C4×C5—64no—
374C2×C4×C5C2×C4×D314yes—
375C2×C4×C5C23×D314yes—
376C2×C4×C5C23×D312yes—
377C22⋊D5—316no—
378C22⋊D5—316no—
379C2×Dic5—24no—
380C2×Dic5—34no—
381C2×Dic5—32no—
382C2×Dic5—34no—
383C2×Dic5—64no—
384C2×Dic5—128no—
385C2×Dic5C2×C4×D314yes—
386C2×Dic5C23×D314yes—
387C2×Dic5C23×D312yes—
388D20—316no—
389C4×D5—316no—
390C4×D5—48no—
391C4×D5—128no—
392C4×D5C2×C4×D3116yescomplemented
393Dic10—316no—
394C2×#41—158no—
395C2×#41—1516no—
396C22×Q8—151no—
397C22×D4—151no—
398C22×D4—151no—
399C22×D4—151no—
400C23×C4—31no—
401C23×C4—51no—
402C23×C4—52no—
403C23×C4—152no—
404C23×C4—151no—
405C23×C4—152no—
406C4×Q8—1516no—
407C4×D4—1516no—
408C4×D4—1516no—
409C4×D4—1516no—
410#117—38no—
411#117—158no—
412#117—158no—
413C2×C4⋊C4—31no—
414C2×C4⋊C4—51no—
415C2×C4⋊C4—52no—
416C2×C4⋊C4—58no—
417C2×C4⋊C4—158no—
418C2×C4⋊C4—152no—
419C2×C4⋊C4—151no—
420C2×C4⋊C4—152no—
421C2×C4⋊C4—158no—
422C2×C4⋊C4D3×D511yescharacteristic
423C2×C22⋊C4—32no—
424C2×C22⋊C4—152no—
425C2×C22⋊C4—152no—
426C2×C42—32no—
427C2×C42—152no—
428C2×C42—152no—
429C2×C3×C5#52014yescomplemented
430C2×C3×C5C24×C411yescharacteristic
431C2×C3×C5C2×H(5,𝔽2)11yescharacteristic
432C2×C3×C5C2×2−1+411yescharacteristic
433D15—24no—
434C3×D5—24no—
435C5×D3—24no—
436C23×C3—54no—
437C23×C3—52no—
438C23×C3—102no—
439C23×C3—102no—
440C23×C3C23×D511yescharacteristic
441C22×D3—22no—
442C22×D3—22no—
443C22×D3—54no—
444C22×D3—52no—
445C22×D3—102no—
446C22×D3—102no—
447C22×D3C2×C4×D514yes—
448C22×D3C23×D512yes—
449C2×C3×C4—24no—
450C2×C3×C4—54no—
451C2×C3×C4—52no—
452C2×C3×C4—516no—
453C2×C3×C4—54no—
454C2×C3×C4—104no—
455C2×C3×C4—208no—
456C2×C3×C4C2×C4×D514yes—
457C2×C3×C4C23×D514yes—
458C2×C3×C4C23×D512yes—
459#67—516no—
460#67—516no—
461C2×Dic3—24no—
462C2×Dic3—54no—
463C2×Dic3—52no—
464C2×Dic3—54no—
465C2×Dic3—104no—
466C2×Dic3C2×C4×D514yes—
467C2×Dic3C23×D514yes—
468C2×Dic3C23×D512yes—
469D12—516no—
470C4×D3—516no—
471C4×D3—208no—
472C4×D3—208no—
473C4×D3C2×C4×D5116yescomplemented
474Dic6—516no—
475C22×C5—34no—
476C22×C5—62no—
477C22×C5—62no—
478C22×C5—68no—
479C22×C5C22×C4×D312yes—
480C22×C5#100412yes—
481C22×C5#100712yes—
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×D5C22×C4×D314yes—
491C4×C5—24no—
492C4×C5—34no—
493C4×C5—64no—
494C4×C5C22×C4×D314yes—
495Dic5—24no—
496Dic5—34no—
497Dic5—64no—
498Dic5C22×C4×D314yes—
499C24—31no—
500C24—51no—
501C24—151no—
502#41—1564no—
503C2×Q8—154no—
504C2×Q8—158no—
505C2×D4—154no—
506C2×D4—158no—
507C2×D4—154no—
508C2×D4—158no—
509C2×D4—154no—
510C2×D4—158no—
511C22×C4—31no—
512C22×C4—38no—
513C22×C4—34no—
514C22×C4—32no—
515C22×C4—51no—
516C22×C4—58no—
517C22×C4—54no—
518C22×C4—52no—
519C22×C4—58no—
520C22×C4—158no—
521C22×C4—151no—
522C22×C4—158no—
523C22×C4—154no—
524C22×C4—152no—
525C22×C4—158no—
526C22×C4—204no—
527C22×C4—604no—
528C22×C4—604no—
529C22×C4C2×D3×D512yes—
530C22×C4C2×D3×D511yescharacteristic
531C4⋊C4—34no—
532C4⋊C4—54no—
533C4⋊C4—58no—
534C4⋊C4—158no—
535C4⋊C4—154no—
536C4⋊C4—158no—
537C4⋊C4C2×D3×D514yes—
538C22⋊C4—38no—
539C22⋊C4—158no—
540C22⋊C4—158no—
541C42—38no—
542C42—158no—
543C42—158no—
544C3×C5C2×#52011yescharacteristic, complemented, Hall
545C22×C3—54no—
546C22×C3—108no—
547C22×C3—102no—
548C22×C3—102no—
549C22×C3C22×C4×D512yes—
550C22×C3#414912yes—
551C22×C3#415012yes—
552C22×C3C24×D511yescharacteristic
553C2×D3—28no—
554C2×D3—22no—
555C2×D3—22no—
556C2×D3—54no—
557C2×D3—108no—
558C2×D3—102no—
559C2×D3—102no—
560C2×D3C22×C4×D514yes—
561C3×C4—24no—
562C3×C4—54no—
563C3×C4—104no—
564C3×C4C22×C4×D514yes—
565Dic3—24no—
566Dic3—54no—
567Dic3—104no—
568Dic3C22×C4×D514yes—
569C2×C5—64no—
570C2×C5#550414yescomplemented
571C2×C5C23×C4×D311yescharacteristic
572C2×C5C2×#100411yescharacteristic
573C2×C5C2×#100711yescharacteristic
574D5—24no—
575D5—64no—
576C23—34no—
577C23—32no—
578C23—54no—
579C23—52no—
580C23—62no—
581C23—62no—
582C23—102no—
583C23—102no—
584C23—154no—
585C23—152no—
586C23—302no—
587C23—302no—
588C23C22×D3×D511yescharacteristic
589Q8—1516no—
590D4—1516no—
591D4—1516no—
592D4—1516no—
593C2×C4—24no—
594C2×C4—34no—
595C2×C4—32no—
596C2×C4—316no—
597C2×C4—34no—
598C2×C4—54no—
599C2×C4—52no—
600C2×C4—516no—
601C2×C4—54no—
602C2×C4—64no—
603C2×C4—104no—
604C2×C4—154no—
605C2×C4—152no—
606C2×C4—1516no—
607C2×C4—154no—
608C2×C4—208no—
609C2×C4—304no—
610C2×C4—608no—
611C2×C4—608no—
612C2×C4C4×D3×D514yes—
613C2×C4C22×D3×D514yes—
614C2×C4C22×D3×D512yes—
615C2×C3—104no—
616C2×C3#6585714yescomplemented
617C2×C3C23×C4×D511yescharacteristic
618C2×C3C2×#414911yescharacteristic
619C2×C3C2×#415011yescharacteristic
620D3—24no—
621D3—104no—
622C5C2×#550411yescharacteristic, complemented, Sylow
623C22—34no—
624C22—54no—
625C22—68no—
626C22—62no—
627C22—62no—
628C22—108no—
629C22—102no—
630C22—102no—
631C22—154no—
632C22—308no—
633C22—302no—
634C22—302no—
635C22C2×C4×D3×D512yes—
636C22#9202612yes—
637C22#9203012yes—
638C22C23×D3×D511yescharacteristic
639C4—24no—
640C4—34no—
641C4—54no—
642C4—64no—
643C4—104no—
644C4—154no—
645C4—304no—
646C4C2×C4×D3×D514yes—
647C3C2×#6585711yescharacteristic, complemented, Sylow
648C2—64no—
649C2—104no—
650C2—304no—
651C2#1175366814yesdirect product factor
652C2C22×C4×D3×D511yescharacteristic
653C2C2×#9202611yescharacteristic
654C2C2×#9203011yescharacteristic
subgroupG/H
centerC23C22×D3×D5
commutatorC2×C3×C5C24×C4
FrattiniC22C23×D3×D5
FittingC2×C3×C5×C4⋊C4C22
socleC23×C3×C5C24
prime radicalC22×#6771C2
cosocleC22×C3×C5C25
hypercenterC2×C4⋊C4D3×D5
hypocenterC3×C5C2×#520
LCSG ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×C4⋊C4×D15C2semidirect
3. C2×C5×#892C2semidirect
4. C2×C3×D5×C4⋊C4C2semidirect
5. C2×C4×#1202C2semidirect
6. C2×#91440C2semidirect
7. C2×D3×C4⋊Dic5C2semidirect
8. C2×#91406C2semidirect
9. C2×#91358C2semidirect
10. C2×#91347C2semidirect
11. C2×#91324C2semidirect
12. #11753668C2direct (N × H)
24. C2×#6771C4semidirect
29. C4⋊C4×D15C22semidirect
33. C5×#892C22semidirect
36. C3×D5×C4⋊C4C22semidirect
42. C4×#1202C22semidirect
43. #91440C22semidirect
44. D3×C4⋊Dic5C22semidirect
45. #91406C22semidirect
46. #91358C22semidirect
47. #91347C22semidirect
48. #91324C22semidirect
57. C2×D5×C4⋊C4D3semidirect
70. C2×C4×D15C2×C4semidirect
75. C2×C4×C5×D3C2×C4semidirect
80. C2×C3×C4×D5C2×C4semidirect
83. C2×#1204C2×C4semidirect
85. C2×#1203C2×C4semidirect
87. C2×#1202C2×C4semidirect
89. C2×#1201C2×C4semidirect
93. #6771C2×C4semidirect
115. C2×#892D5semidirect
149. D5×C4⋊C4C2×D3semidirect
177. C4×D15C22×C4semidirect
182. C4×C5×D3C22×C4semidirect
188. C3×C4×D5C22×C4semidirect
189. #1204C22×C4semidirect
190. #1203C22×C4semidirect
191. #1202C22×C4semidirect
192. #1201C22×C4semidirect
225. #892C2×D5semidirect
256. C2×C4×D5C4×D3semidirect
338. C2×C4×D3C4×D5semidirect
392. C4×D5C2×C4×D3semidirect
429. C2×C3×C5#520semidirect
473. C4×D3C2×C4×D5semidirect
544. C3×C5C2×#520semidirect
570. C2×C5#5504semidirect
616. C2×C3#65857semidirect
622. C5C2×#5504semidirect
647. C3C2×#65857semidirect
651. C2#11753668direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#67712
C2×C4⋊C4×D152
C2×C5×#8922
C2×C3×D5×C4⋊C42
C2×C4×#12022
C2×#914402
C2×D3×C4⋊Dic52
C2×#914062
C2×#913582
C2×#913472
C2×#913242
#117536682
C2×#658573
C2×#55045