Finite Group Databasebeta

← #14327031

Subgroups — #14327031

Order 1920.

1552 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4⋊C4×D15C211yesmaximal, characteristic, complemented
2C2×C4×#1203C211yesmaximal, characteristic
3C2×D3×C4⋊Dic5C211yesmaximal, characteristic, complemented
4C2×#91406C212yesmaximal
5C5×#4987C211yesmaximal, characteristic, complemented
6C3×#65265C211yesmaximal, characteristic, complemented
7#11748892C212yesmaximal, complemented
8#11748799C211yesmaximal, characteristic, complemented
9#11748729C212yesmaximal, complemented
10Dic5×C4⋊Dic3C211yesmaximal, characteristic, complemented
11#11748627C212yesmaximal, complemented
12#10605741—31nomaximal, Hall
13C22×C4×D15C2212yes—
14C22×C4×D15C2211yescharacteristic
15C22×C4×C5×D3C2211yescharacteristic
16C22×#1203C2211yescharacteristic
17C22×D3×Dic5C2212yes—
18C2×C3×C5×C4⋊C4C2211yescharacteristic
19C2×C4⋊Dic15C2211yescharacteristic
20C2×#6712C2212yes—
21C4⋊C4×D15—24no—
22C2×C5×(C2×D3)⋊C4C2212yes—
23C2×C5×C4⋊Dic3C2211yescharacteristic
24C2×C3×C4⋊Dic5C2211yescharacteristic
25C2×C3×#683C2212yes—
26C2×C3×#683C2212yes—
27C2×C3×C4×Dic5C2211yescharacteristic
28C2×Dic3⋊Dic5C2212yes—
29C2×#6668C2211yescharacteristic
30C2×#6667C2212yes—
31C2×#6667C2211yescharacteristic
32C2×(C2×D3)⋊Dic5C2211yescharacteristic
33C2×Dic3×Dic5C2212yes—
34C4×#1203C418yescomplemented
35D3×C4⋊Dic5—24no—
36#91406—28no—
37C5×C3⋊#95C2212yes—
38#90994C2212yes—
39#90994C2212yes—
40#74360—51nomaximal, Hall
41C2×C4×C22⋊D5—31no—
42C22×C4⋊Dic5—31no—
43C2×D5×C4⋊C4—31no—
44C2×#4027—32no—
45C5×#380—31no—
46#65276—31no—
47#65265D311yescharacteristic, complemented
48C4⋊C4×Dic5—31no—
49#65235—32no—
50#64957—32no—
51#64936—32no—
52C23×D15C2311yescharacteristic
53C23×C5×D3C2311yescharacteristic
54C22×C3×C4×C5C2312yes—
55C22×C3×C4×C5C2311yescharacteristic
56C22×Dic15C2311yescharacteristic
57C22×Dic15C2312yes—
58C2×C4×D15—22no—
59C2×C4×D15—22no—
60C2×C4×D15—24no—
61C2×C4×D15—24no—
62C2×C4×D15—42no—
63C2×C4×D15C2×C414yescomplemented
64C22×C5×Dic3C2312yes—
65C22×C5×Dic3C2311yescharacteristic
66C2×C4×C5×D3—22no—
67C2×C4×C5×D3—22no—
68C2×C4×C5×D3C2×C414yescomplemented
69C22×C3×Dic5C2312yes—
70C22×C3×Dic5C2311yescharacteristic
71C22×C3×Dic5C2311yescharacteristic
72C2×#1203C2×C414yes—
73C2×#1203D414yes—
74C2×#1203Q814yes—
75C2×D3×Dic5—24no—
76C2×D3×Dic5—24no—
77C2×D3×Dic5—42no—
78C3×C5×C4⋊C4—22no—
79C4⋊Dic15D414yescomplemented
80#6712—24no—
81C5×(C2×D3)⋊C4—24no—
82C5×C4⋊Dic3—22no—
83C3×C4⋊Dic5—22no—
84C3×#683—24no—
85C3×#683—42no—
86C3×C4×Dic5C2×C414yescomplemented
87Dic3⋊Dic5—24no—
88#6668C2×C414yescomplemented
89#6667—24no—
90#6667C2×C414yescomplemented
91(C2×D3)⋊Dic5C2×C414yescomplemented
92Dic3×Dic5—24no—
93C2×#893—52no—
94C2×D3×C4⋊C4—51no—
95C2×D3×C4⋊C4—51no—
96C2×C4×D12—51no—
97C3×#384—51no—
98#4989—52no—
99#4989—52no—
100#4987—51no—
101#4987D511yescharacteristic, complemented
102#4972—52no—
103C4×C4⋊Dic3—51no—
104C23×C4×C5—31no—
105C22×C22⋊D5—31no—
106C23×Dic5—32no—
107C22×C4×D5—31no—
108C22×C4×D5—32no—
109C2×C5×C4⋊C4—31no—
110C2×C5×C4⋊C4C2×D311yescharacteristic
111C2×C5×C22⋊C4—32no—
112C2×C22⋊Dic5—31no—
113C4×C22⋊D5—38no—
114C2×#685—31no—
115C2×#685—32no—
116C2×C4⋊Dic5—31no—
117C2×C4⋊Dic5—32no—
118C2×C4⋊Dic5—64no—
119C2×C4⋊Dic5C2×D311yescharacteristic
120C2×#683—31no—
121C2×#683—32no—
122C2×#683C2×D312yes—
123C2×#683C2×D312yes—
124C2×C4×Dic5—32no—
125C2×C4×Dic5C2×D311yescharacteristic
126D5×C4⋊C4—64no—
127#4027—68no—
128C5×#95—32no—
129#3963—32no—
130#3963—32no—
131D4×C4⋊C4—151noSylow
132C23×C3×C5C2411yescharacteristic
133C22×D15—21no—
134C22×D15—21no—
135C22×D15—21no—
136C22×D15—21no—
137C22×D15C22×C412yes—
138C22×D15C2×D412yes—
139C22×D15C2×Q812yes—
140C22×C5×D3—21no—
141C22×C5×D3—21no—
142C22×C5×D3—21no—
143C22×C5×D3—21no—
144C22×C5×D3C22×C412yes—
145C22×C5×D3C2×D412yes—
146C22×C5×D3C2×Q812yes—
147C2×C3×C4×C5—22no—
148C2×C3×C4×C5—22no—
149C2×C3×C4×C5—22no—
150C2×C3×C4×C5C22×C412yes—
151C2×C3×C4×C5C2×D412yes—
152C2×C3×C4×C5#4112yes—
153C2×Dic15—22no—
154C2×Dic15—21no—
155C2×Dic15—21no—
156C2×Dic15—22no—
157C2×Dic15C22×C412yes—
158C2×Dic15C2×D414yes—
159C4×D15—28no—
160C4×D15—48no—
161C2×C5×Dic3—21no—
162C2×C5×Dic3—21no—
163C2×C5×Dic3—22no—
164C2×C5×Dic3—22no—
165C2×C5×Dic3—22no—
166C2×C5×Dic3C22×C412yes—
167C4×C5×D3—28no—
168C2×C3×Dic5—21no—
169C2×C3×Dic5—21no—
170C2×C3×Dic5—22no—
171C2×C3×Dic5—22no—
172C2×C3×Dic5—22no—
173C2×C3×Dic5C22×C412yes—
174C2×C3×Dic5C22×C412yes—
175C2×C3×Dic5C2×D412yes—
176C2×C3×Dic5C2×Q812yes—
177#1203C4⋊C4116yescomplemented
178D3×Dic5—48no—
179C22×D12—51no—
180C22×C4×D3—51no—
181C22×C4×D3—52no—
182C22×C4×D3—52no—
183C22×C4×D3C2×D511yescharacteristic
184C2×C3×C4⋊C4—52no—
185C2×C3×C4⋊C4—51no—
186C2×C3×C4⋊C4—52no—
187C2×C3×C4⋊C4C2×D511yescharacteristic
188C2×C3×C42—51no—
189C2×(C2×D3)⋊C4—51no—
190C2×(C2×D3)⋊C4—51no—
191C2×(C2×D3)⋊C4—52no—
192C2×(C2×D3)⋊C4C2×D512yes—
193C2×C4⋊Dic3—51no—
194C2×C4⋊Dic3—51no—
195C2×C4⋊Dic3C2×D511yescharacteristic
196C2×Dic3⋊C4—52no—
197C2×Dic3⋊C4—52no—
198C2×C4×Dic3—52no—
199#893—108no—
200D3×C4⋊C4—104no—
201D3×C4⋊C4—104no—
202C4×D12—58no—
203C3⋊#95—52no—
204C3⋊#95—52no—
205C3⋊#95C2×D512yes—
206C24×C5—31no—
207C23×D5—31no—
208C22×C4×C5—31no—
209C22×C4×C5—34no—
210C22×C4×C5—32no—
211C22×C4×C5—62no—
212C22×C4×C5—62no—
213C22×C4×C5C22×D312yes—
214C22×C4×C5C22×D311yescharacteristic
215C2×C22⋊D5—34no—
216C2×C22⋊D5—34no—
217C2×C22⋊D5—34no—
218C22×Dic5—31no—
219C22×Dic5—32no—
220C22×Dic5—64no—
221C22×Dic5—64no—
222C22×Dic5—122no—
223C22×Dic5C22×D312yes—
224C22×Dic5C22×D311yescharacteristic
225C22×Dic5C22×D311yescharacteristic
226C2×C4×D5—34no—
227C2×C4×D5—62no—
228C2×C4×D5—62no—
229C2×C4×D5—64no—
230C2×C4×D5—64no—
231C2×C4×D5—122no—
232C5×C4⋊C4—22no—
233C5×C4⋊C4—62no—
234C5×C22⋊C4—64no—
235C22⋊Dic5—34no—
236#685—34no—
237#685—64no—
238C4⋊Dic5—22no—
239C4⋊Dic5—34no—
240C4⋊Dic5—64no—
241#683—24no—
242#683—34no—
243#683—42no—
244#683—64no—
245C4×Dic5—64no—
246C4×Dic5C4×D314yescomplemented
247C2×C4×D4—151no—
248C2×C4×D4—152no—
249C22×C4⋊C4—151no—
250C22×C4⋊C4—151no—
251#389—152no—
252#385—152no—
253#385—152no—
254#384—51no—
255#380—31no—
256#380—151no—
257C4×C4⋊C4—151no—
258C22×C3×C5C23×C411yescharacteristic
259C22×C3×C5C22×D411yescharacteristic
260C22×C3×C5C22×D411yescharacteristic
261C22×C3×C5C22×Q811yescharacteristic
262C22×C3×C5C2×#4111yescharacteristic
263C22×C3×C5H(5,𝔽2)11yescharacteristic
264C22×C3×C52−1+411yescharacteristic
265C2×D15—22no—
266C2×D15—22no—
267C2×D15—22no—
268C2×D15—22no—
269C2×D15—22no—
270C2×D15—22no—
271C2×D15C2×C4⋊C414yescomplemented
272C2×C5×D3—22no—
273C2×C5×D3—22no—
274C2×C5×D3—22no—
275C2×C5×D3—22no—
276C2×C5×D3—22no—
277C2×C5×D3—22no—
278C2×C5×D3C2×C4⋊C414yescomplemented
279C3×C4×C5—42no—
280C3×C4×C5C4×D414yescomplemented
281Dic15—22no—
282Dic15—24no—
283C3×Dic5—22no—
284C3×Dic5—42no—
285C3×Dic5C2×C4⋊C414yescomplemented
286C5×Dic3—22no—
287C5×Dic3—42no—
288C23×D3—51no—
289C23×D3C22×D511yescharacteristic
290C22×C3×C4—51no—
291C22×C3×C4—51no—
292C22×C3×C4—52no—
293C22×C3×C4C22×D512yes—
294C22×C3×C4C22×D511yescharacteristic
295C22×Dic3—51no—
296C22×Dic3—52no—
297C22×Dic3C22×D512yes—
298C22×Dic3C22×D511yescharacteristic
299C2×D12—54no—
300C2×D12—54no—
301C2×D12—54no—
302C2×C4×D3—22no—
303C2×C4×D3—22no—
304C2×C4×D3—54no—
305C2×C4×D3—102no—
306C2×C4×D3—102no—
307C2×C4×D3—104no—
308C2×C4×D3—104no—
309C2×C4×D3—104no—
310C2×C4×D3—104no—
311C2×C4×D3—202no—
312C2×C4×D3—202no—
313C2×C4×D3C4×D514yescomplemented
314C3×C4⋊C4—22no—
315C3×C4⋊C4—104no—
316C3×C4⋊C4—102no—
317C3×C4⋊C4—202no—
318C3×C42—54no—
319(C2×D3)⋊C4—24no—
320(C2×D3)⋊C4—54no—
321(C2×D3)⋊C4—54no—
322(C2×D3)⋊C4—104no—
323C4⋊Dic3—22no—
324C4⋊Dic3—54no—
325C4⋊Dic3—54no—
326Dic3⋊C4—104no—
327Dic3⋊C4—104no—
328C4×Dic3—104no—
329C23×C5—32no—
330C23×C5—32no—
331C23×C5—32no—
332C23×C5—61no—
333C23×C5—61no—
334C23×C5—61no—
335C23×C5—61no—
336C23×C5C23×D311yescharacteristic
337C22×D5—32no—
338C22×D5—32no—
339C22×D5—32no—
340C22×D5—61no—
341C22×D5—61no—
342C22×D5—61no—
343C22×D5—61no—
344C2×C4×C5—22no—
345C2×C4×C5—22no—
346C2×C4×C5—22no—
347C2×C4×C5—32no—
348C2×C4×C5—61no—
349C2×C4×C5—61no—
350C2×C4×C5—68no—
351C2×C4×C5—62no—
352C2×C4×C5—62no—
353C2×C4×C5—62no—
354C2×C4×C5C2×C4×D312yes—
355C2×C4×C5D3×D412yes—
356C2×C4×C5#23912yes—
357C22⋊D5—316no—
358C2×Dic5—21no—
359C2×Dic5—21no—
360C2×Dic5—22no—
361C2×Dic5—22no—
362C2×Dic5—22no—
363C2×Dic5—32no—
364C2×Dic5—34no—
365C2×Dic5—62no—
366C2×Dic5—61no—
367C2×Dic5—62no—
368C2×Dic5—61no—
369C2×Dic5—128no—
370C2×Dic5C2×C4×D312yes—
371C2×Dic5C2×C4×D312yes—
372C2×Dic5D3×D412yes—
373C2×Dic5D3×Q812yes—
374C4×D5—68no—
375C4×D5—128no—
376C22×D4—151no—
377C23×C4—31no—
378C23×C4—152no—
379C23×C4—151no—
380C23×C4—152no—
381C4×D4—158no—
382C4×D4—308no—
383C2×C4⋊C4—31no—
384C2×C4⋊C4—51no—
385C2×C4⋊C4—52no—
386C2×C4⋊C4—52no—
387C2×C4⋊C4—151no—
388C2×C4⋊C4—151no—
389C2×C4⋊C4—152no—
390C2×C4⋊C4—152no—
391C2×C4⋊C4—304no—
392C2×C4⋊C4—304no—
393C2×C4⋊C4D3×D511yescharacteristic
394C2×C22⋊C4—32no—
395C2×C22⋊C4—151no—
396C2×C22⋊C4—151no—
397C2×C22⋊C4—152no—
398C2×C42—51no—
399C2×C42—152no—
400#95—32no—
401#95—152no—
402#95—152no—
403C2×C3×C5C22×C4⋊C411yescharacteristic
404C2×C3×C5C2×C4×D411yescharacteristic
405C2×C3×C5#52011yescharacteristic
406C2×C3×C5D4211yescharacteristic
407C2×C3×C5#54711yescharacteristic
408C2×C3×C5D4×Q811yescharacteristic
409C2×C3×C5#55411yescharacteristic
410D15—24no—
411C5×D3—24no—
412C23×C3C23×D511yescharacteristic
413C22×D3—21no—
414C22×D3—21no—
415C22×D3—21no—
416C22×D3—21no—
417C22×D3—52no—
418C22×D3—52no—
419C22×D3—52no—
420C22×D3—101no—
421C22×D3—101no—
422C22×D3—101no—
423C22×D3—101no—
424C22×D3C2×C4×D512yes—
425C22×D3D4×D512yes—
426C22×D3Q8×D512yes—
427C2×C3×C4—22no—
428C2×C3×C4—22no—
429C2×C3×C4—22no—
430C2×C3×C4—52no—
431C2×C3×C4—52no—
432C2×C3×C4—52no—
433C2×C3×C4—52no—
434C2×C3×C4—101no—
435C2×C3×C4—101no—
436C2×C3×C4—102no—
437C2×C3×C4—102no—
438C2×C3×C4—102no—
439C2×C3×C4C2×C4×D512yes—
440C2×C3×C4D4×D512yes—
441C2×C3×C4#71112yes—
442C2×Dic3—21no—
443C2×Dic3—21no—
444C2×Dic3—22no—
445C2×Dic3—22no—
446C2×Dic3—22no—
447C2×Dic3—52no—
448C2×Dic3—54no—
449C2×Dic3—102no—
450C2×Dic3—101no—
451C2×Dic3—101no—
452C2×Dic3—102no—
453C2×Dic3C2×C4×D512yes—
454D12—516no—
455C4×D3—28no—
456C4×D3—108no—
457C4×D3—208no—
458C4×D3—208no—
459C22×C5—34no—
460C22×C5—62no—
461C22×C5—62no—
462C22×C5—62no—
463C22×C5—62no—
464C22×C5—62no—
465C22×C5—62no—
466C22×C5C22×C4×D311yescharacteristic
467C22×C5C2×D3×D411yescharacteristic
468C22×C5C2×D3×D411yescharacteristic
469C22×C5#100411yescharacteristic
470C22×C5C2×D3×Q811yescharacteristic
471C22×C5C2×#23911yescharacteristic
472C22×C5#100711yescharacteristic
473C2×D5—34no—
474C2×D5—62no—
475C2×D5—62no—
476C2×D5—62no—
477C2×D5—62no—
478C2×D5—62no—
479C2×D5—62no—
480C4×C5—42no—
481C4×C5—62no—
482C4×C5—122no—
483C4×C5#89314yescomplemented
484Dic5—22no—
485Dic5—42no—
486Dic5—64no—
487Dic5—62no—
488Dic5D3×C4⋊C414yescomplemented
489C24—31no—
490C24—151no—
491C2×D4—154no—
492C2×D4—154no—
493C2×D4—154no—
494C22×C4—31no—
495C22×C4—34no—
496C22×C4—32no—
497C22×C4—51no—
498C22×C4—51no—
499C22×C4—52no—
500C22×C4—62no—
501C22×C4—62no—
502C22×C4—151no—
503C22×C4—152no—
504C22×C4—154no—
505C22×C4—304no—
506C22×C4—304no—
507C22×C4—304no—
508C22×C4—304no—
509C22×C4—302no—
510C22×C4—302no—
511C22×C4—602no—
512C22×C4—602no—
513C22×C4C2×D3×D512yes—
514C22×C4C2×D3×D511yescharacteristic
515C4⋊C4—22no—
516C4⋊C4—62no—
517C4⋊C4—104no—
518C4⋊C4—102no—
519C4⋊C4—154no—
520C4⋊C4—154no—
521C4⋊C4—202no—
522C4⋊C4—304no—
523C4⋊C4—304no—
524C22⋊C4—64no—
525C22⋊C4—154no—
526C22⋊C4—154no—
527C22⋊C4—304no—
528C42—54no—
529C42—304no—
530C3×C5D4×C4⋊C411yescharacteristic, complemented, Hall
531C22×C3C22×C4×D511yescharacteristic
532C22×C3C2×D4×D511yescharacteristic
533C22×C3C2×D4×D511yescharacteristic
534C22×C3C2×#71111yescharacteristic
535C22×C3C2×Q8×D511yescharacteristic
536C22×C3#414911yescharacteristic
537C22×C3#415011yescharacteristic
538C2×D3—22no—
539C2×D3—22no—
540C2×D3—22no—
541C2×D3—22no—
542C2×D3—22no—
543C2×D3—22no—
544C2×D3—54no—
545C2×D3—102no—
546C2×D3—102no—
547C2×D3—102no—
548C2×D3—102no—
549C2×D3—102no—
550C2×D3—102no—
551C2×D3D5×C4⋊C414yescomplemented
552C3×C4—42no—
553C3×C4—54no—
554C3×C4—102no—
555C3×C4—202no—
556C3×C4#402714yescomplemented
557Dic3—22no—
558Dic3—42no—
559Dic3—102no—
560Dic3—104no—
561C2×C5—64no—
562C2×C5C2×D3×C4⋊C411yescharacteristic
563C2×C5C2×#89311yescharacteristic
564C2×C5#550411yescharacteristic
565C2×C5#571711yescharacteristic
566C2×C5#572611yescharacteristic
567C2×C5#572711yescharacteristic
568C2×C5#573011yescharacteristic
569D5—64no—
570C23—32no—
571C23—32no—
572C23—32no—
573C23—61no—
574C23—61no—
575C23—61no—
576C23—61no—
577C23—152no—
578C23—152no—
579C23—152no—
580C23—301no—
581C23—301no—
582C23—301no—
583C23—301no—
584C23C22×D3×D511yescharacteristic
585D4—1516no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—32no—
590C2×C4—52no—
591C2×C4—52no—
592C2×C4—52no—
593C2×C4—52no—
594C2×C4—61no—
595C2×C4—61no—
596C2×C4—68no—
597C2×C4—62no—
598C2×C4—62no—
599C2×C4—62no—
600C2×C4—101no—
601C2×C4—101no—
602C2×C4—102no—
603C2×C4—102no—
604C2×C4—102no—
605C2×C4—152no—
606C2×C4—154no—
607C2×C4—301no—
608C2×C4—302no—
609C2×C4—302no—
610C2×C4—301no—
611C2×C4—308no—
612C2×C4—608no—
613C2×C4—608no—
614C2×C4#676812yes—
615C2×C4C4×D3×D512yes—
616C2×C4#679012yes—
617C2×C3C2×#402711yescharacteristic
618C2×C3C2×D5×C4⋊C411yescharacteristic
619C2×C3#6585711yescharacteristic
620C2×C3#6594311yescharacteristic
621C2×C3#6594511yescharacteristic
622C2×C3#6596611yescharacteristic
623C2×C3#6596911yescharacteristic
624D3—24no—
625D3—104no—
626C5#7436011yescharacteristic, complemented, Sylow
627C22—34no—
628C22—62no—
629C22—62no—
630C22—62no—
631C22—62no—
632C22—62no—
633C22—62no—
634C22—154no—
635C22—302no—
636C22—302no—
637C22—302no—
638C22—302no—
639C22—302no—
640C22—302no—
641C22C2×#676811yescharacteristic
642C22C2×C4×D3×D511yescharacteristic
643C22D3×D4×D511yescharacteristic
644C22#9202611yescharacteristic
645C22#9203011yescharacteristic
646C22D3×Q8×D511yescharacteristic
647C22C2×#679011yescharacteristic
648C4—42no—
649C4—54no—
650C4—62no—
651C4—102no—
652C4—122no—
653C4—202no—
654C4—304no—
655C4—302no—
656C4#9140614yescomplemented
657C3#1060574111yescharacteristic, complemented, Sylow
658C2—64no—
659C2—304no—
660C2#1175342711yescharacteristic
661C2#1175347211yescharacteristic
662C2#1175366811yescharacteristic
663C2D3×D5×C4⋊C411yescharacteristic
664C2C2×#9140611yescharacteristic
665C2#1175505911yescharacteristic
666C2#1175516911yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC22×C3×C5C23×C4
FittingC2×C3×C5×C4⋊C4C22
socle, cosocleC23×C3×C5C24
prime radicalC22×#1203C22
hypercenterC2×C4⋊C4D3×D5
hypocenterC3×C5D4×C4⋊C4
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×C4⋊C4×D15C2semidirect
3. C2×D3×C4⋊Dic5C2semidirect
5. C5×#4987C2semidirect
6. C3×#65265C2semidirect
7. #11748892C2semidirect
8. #11748799C2semidirect
9. #11748729C2semidirect
10. Dic5×C4⋊Dic3C2semidirect
11. #11748627C2semidirect
34. C4×#1203C4semidirect
47. #65265D3semidirect
63. C2×C4×D15C2×C4semidirect
68. C2×C4×C5×D3C2×C4semidirect
79. C4⋊Dic15D4semidirect
86. C3×C4×Dic5C2×C4semidirect
88. #6668C2×C4semidirect
90. #6667C2×C4semidirect
91. (C2×D3)⋊Dic5C2×C4semidirect
101. #4987D5semidirect
177. #1203C4⋊C4semidirect
246. C4×Dic5C4×D3semidirect
271. C2×D15C2×C4⋊C4semidirect
278. C2×C5×D3C2×C4⋊C4semidirect
280. C3×C4×C5C4×D4semidirect
285. C3×Dic5C2×C4⋊C4semidirect
313. C2×C4×D3C4×D5semidirect
483. C4×C5#893semidirect
488. Dic5D3×C4⋊C4semidirect
530. C3×C5D4×C4⋊C4semidirect
551. C2×D3D5×C4⋊C4semidirect
556. C3×C4#4027semidirect
626. C5#74360semidirect
656. C4#91406semidirect
657. C3#10605741semidirect

Maximal subgroups

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

subgroupindex
C2×C4⋊C4×D152
C2×C4×#12032
C2×D3×C4⋊Dic52
C2×#914062
C5×#49872
C3×#652652
#117488922
#117487992
#117487292
Dic5×C4⋊Dic32
#117486272
#106057413
#743605