Finite Group Databasebeta

← C2×C3×#65845 #14483791

Subgroups — C2×C3×#65845 #14483791

Order 1920.

2400 conjugacy classes of subgroups.

The subgroup lattice has 600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×C5×C4⋊C4C211yesmaximal, characteristic, complemented
2C2×C3×C4×C22⋊D5C211yesmaximal, characteristic
3C2×C3×C4×C22⋊D5C212yesmaximal
4C2×C3×#4070C211yesmaximal, characteristic, complemented
5C2×C3×#4070C212yesmaximal, complemented
6C3×#65845C2116yesmaximal, direct product factor
7C2×C3×#4043C211yesmaximal, characteristic, complemented
8C2×C3×#4042C212yesmaximal, complemented
9C2×C3×D5×C4⋊C4C211yesmaximal, characteristic, complemented
10C2×C3×#4035C212yesmaximal, complemented
11C2×C3×#4034C211yesmaximal, characteristic, complemented
12C2×C3×#4033C211yesmaximal, characteristic, complemented
13C2×#65845C311yesmaximal, characteristic, direct product factor, Hall
14C23×C3×C4×C5C2211yescharacteristic
15C23×C3×C4×C5C2212yes—
16C22×C3×C22⋊D5C2211yescharacteristic
17C22×C3×C4×D5C2211yescharacteristic
18C22×C3×C4×D5C2212yes—
19C22×C3×Dic10C2211yescharacteristic
20C22×C3×Dic10C2212yes—
21C2×C3×C5×C4⋊C4C2211yescharacteristic
22C2×C3×C5×C4⋊C4C2211yescharacteristic
23C2×C3×C5×C4⋊C4C2212yes—
24C2×C3×C5×C4⋊C4C2218yescomplemented
25C2×C3×C22⋊Dic5C2211yescharacteristic
26C2×C3×C22⋊Dic5C2212yes—
27C3×C4×C22⋊D5C2218yes—
28C3×C4×C22⋊D5C22116yes—
29C2×C3×#685C2212yes—
30C2×C3×#685C2211yescharacteristic
31C2×C3×C4⋊Dic5C2212yes—
32C2×C3×C4⋊Dic5C2211yescharacteristic
33C3×#4070C22116yescomplemented
34C3×#4070C2218yescomplemented
35C2×C3×#683C2212yes—
36C2×C3×#683C2212yes—
37C2×C3×#683C2212yes—
38C2×C3×#683C2212yes—
39C2×C3×#683C2211yescharacteristic
40C2×C3×C4×Dic5C2211yescharacteristic
41C2×C3×C4×Dic5C2212yes—
42C3×#4043C2218yescomplemented
43C3×#4042C22116yescomplemented
44C3×D5×C4⋊C4C2218yescomplemented
45C3×#4035C22116yescomplemented
46C3×#4034C2218yescomplemented
47C3×#4033C2218yescomplemented
48C2×C3×#554—51nomaximal, Hall
49C22×C5×C4⋊C4C2×C311yescharacteristic, complemented
50C2×C4×C22⋊D5C2×C311yescharacteristic
51C2×C4×C22⋊D5C2×C312yes—
52C2×#4070C2×C311yescharacteristic, complemented
53C2×#4070C2×C312yescomplemented
54#65845C2×C3116yesdirect product factor
55C2×#4043C2×C311yescharacteristic, complemented
56C2×#4042C2×C312yescomplemented
57C2×D5×C4⋊C4C2×C311yescharacteristic, complemented
58C2×#4035C2×C312yescomplemented
59C2×#4034C2×C311yescharacteristic, complemented
60C2×#4033C2×C311yescharacteristic, complemented
61C24×C3×C5C2311yescharacteristic
62C23×C3×D5C2311yescharacteristic
63C22×C3×C4×C5—24no—
64C22×C3×C4×C5—44no—
65C22×C3×C4×C5C2312yes—
66C22×C3×C4×C5C2312yes—
67C22×C3×C4×C5C2311yescharacteristic
68C22×C3×C4×C5C2314yes—
69C22×C3×C4×C5C2318yes—
70C22×C3×C4×C5C2311yescharacteristic
71C2×C3×C22⋊D5Q818yescomplemented
72C2×C3×C22⋊D5C2314yes—
73C22×C3×Dic5C2311yescharacteristic
74C22×C3×Dic5C2312yes—
75C22×C3×Dic5C2312yes—
76C22×C3×Dic5C2311yescharacteristic
77C22×C3×Dic5C2311yescharacteristic
78C2×C3×C4×D5—24no—
79C2×C3×C4×D5—44no—
80C2×C3×C4×D5C2314yes—
81C2×C3×C4×D5C2318yes—
82C2×C3×Dic10—24no—
83C2×C3×Dic10—44no—
84C2×C3×Dic10C2314yes—
85C2×C3×Dic10C2318yes—
86C3×C5×C4⋊C4C2314yes—
87C3×C5×C4⋊C4C2314yes—
88C3×C5×C4⋊C4C2318yes—
89C3×C22⋊Dic5C2318yes—
90C3×C22⋊Dic5C2314yes—
91C3×#685C2314yes—
92C3×#685C2318yes—
93C3×C4⋊Dic5C2314yes—
94C3×C4⋊Dic5C2318yes—
95C3×#683C2318yes—
96C3×#683C2318yes—
97C3×#683C2314yes—
98C3×#683C2318yes—
99C3×#683C2318yes—
100C3×C4×Dic5C2314yes—
101C3×C4×Dic5C2318yes—
102C3×#554—516no—
103C2×C3×C4⋊Q8—51no—
104C2×C3×#125—52no—
105C2×C3×C22⋊Q8—52no—
106C2×C3×C22⋊Q8—51no—
107C2×C3×C22⋊Q8—51no—
108C2×C3×C22⋊Q8—52no—
109C2×C3×C4×Q8—51no—
110C2×C3×C4×D4—52no—
111C2×C3×C4×D4—51no—
112C22×C3×C4⋊C4—51no—
113C22×C3×C4⋊C4D511yescharacteristic, complemented
114C23×C4×C5C22×C311yescharacteristic
115C23×C4×C5C22×C312yes—
116C22×C22⋊D5C22×C311yescharacteristic
117C22×C4×D5C22×C311yescharacteristic
118C22×C4×D5C22×C312yes—
119C22×Dic10C22×C311yescharacteristic
120C22×Dic10C22×C312yes—
121C2×C5×C4⋊C4C22×C311yescharacteristic
122C2×C5×C4⋊C4C22×C311yescharacteristic
123C2×C5×C4⋊C4C22×C312yes—
124C2×C5×C4⋊C4C22×C318yescomplemented
125C2×C22⋊Dic5C22×C311yescharacteristic
126C2×C22⋊Dic5C22×C312yes—
127C4×C22⋊D5C22×C318yes—
128C4×C22⋊D5C22×C3116yes—
129C2×#685C22×C311yescharacteristic
130C2×#685C22×C312yes—
131C2×C4⋊Dic5C22×C311yescharacteristic
132C2×C4⋊Dic5C22×C312yes—
133#4070C22×C3116yescomplemented
134#4070C22×C318yescomplemented
135C2×#683C22×C312yes—
136C2×#683C22×C312yes—
137C2×#683C22×C311yescharacteristic
138C2×#683C22×C312yes—
139C2×#683C22×C312yes—
140C2×C4×Dic5C22×C311yescharacteristic
141C2×C4×Dic5C22×C312yes—
142#4043C22×C318yescomplemented
143#4042C22×C3116yescomplemented
144D5×C4⋊C4C22×C318yescomplemented
145#4035C22×C3116yescomplemented
146#4034C22×C318yescomplemented
147#4033C22×C318yescomplemented
148C2×#554—51noSylow
149C23×C3×C5—22no—
150C23×C3×C5—22no—
151C23×C3×C5C2×Q814yes—
152C23×C3×C5C2412yes—
153C23×C3×C5C2411yescharacteristic
154C22×C3×D5—22no—
155C22×C3×D5—22no—
156C22×C3×D5C2×Q814yes—
157C22×C3×D5C2412yes—
158C2×C3×C4×C5—22no—
159C2×C3×C4×C5—24no—
160C2×C3×C4×C5—24no—
161C2×C3×C4×C5—28no—
162C2×C3×C4×C5—48no—
163C2×C3×C4×C5#4114yes—
164C2×C3×C4×C5C2414yes—
165C2×C3×C4×C5C2412yes—
166C2×C3×C4×C5C2414yes—
167C2×C3×C4×C5C2412yes—
168C3×C22⋊D5C2×Q8116yescomplemented
169C2×C3×Dic5—24no—
170C2×C3×Dic5—22no—
171C2×C3×Dic5—22no—
172C2×C3×Dic5—24no—
173C2×C3×Dic5C2×Q814yes—
174C2×C3×Dic5C2414yes—
175C2×C3×Dic5C2412yes—
176C2×C3×Dic5C2412yes—
177C2×C3×Dic5C2414yes—
178C2×C3×Dic5C2412yes—
179C3×C4×D5—28no—
180C3×C4×D5—48no—
181C3×Dic10—28no—
182C3×Dic10—48no—
183C22×C3×Q8—51no—
184C22×C3×Q8—52no—
185C22×C3×D4—51no—
186C23×C3×C4—51no—
187C23×C3×C4—52no—
188C23×C3×C4C2×D511yescharacteristic
189C23×C3×C4C2×D512yes—
190C3×C4⋊Q8—58no—
191C3×#125—516no—
192C3×C22⋊Q8—516no—
193C3×C22⋊Q8—58no—
194C3×C22⋊Q8—516no—
195C3×C22⋊Q8—58no—
196C3×C4×Q8—58no—
197C3×C4×D4—516no—
198C3×C4×D4—58no—
199C2×C3×C4⋊C4—52no—
200C2×C3×C4⋊C4—51no—
201C2×C3×C4⋊C4—51no—
202C2×C3×C4⋊C4—52no—
203C2×C3×C4⋊C4—52no—
204C2×C3×C4⋊C4—52no—
205C2×C3×C4⋊C4—52no—
206C2×C3×C4⋊C4—58no—
207C2×C3×C4⋊C4C2×D511yescharacteristic
208C2×C3×C4⋊C4C2×D512yes—
209C2×C3×C4⋊C4C2×D511yescharacteristic
210C2×C3×C4⋊C4C2×D518yescomplemented
211C2×C3×C22⋊C4—52no—
212C2×C3×C22⋊C4—51no—
213C2×C3×C22⋊C4—52no—
214C2×C3×C22⋊C4—51no—
215C2×C3×C42—52no—
216C2×C3×C42—51no—
217C24×C5C23×C311yescharacteristic
218C23×D5C23×C311yescharacteristic
219C22×C4×C5—24no—
220C22×C4×C5—44no—
221C22×C4×C5C23×C312yes—
222C22×C4×C5C23×C312yes—
223C22×C4×C5C23×C311yescharacteristic
224C22×C4×C5C23×C314yes—
225C22×C4×C5C23×C318yes—
226C22×C4×C5C23×C311yescharacteristic
227C2×C22⋊D5C3×Q818yescomplemented
228C2×C22⋊D5C23×C314yes—
229C22×Dic5C23×C311yescharacteristic
230C22×Dic5C23×C312yes—
231C22×Dic5C23×C312yes—
232C22×Dic5C23×C311yescharacteristic
233C22×Dic5C23×C311yescharacteristic
234C2×C4×D5—24no—
235C2×C4×D5—44no—
236C2×C4×D5C23×C314yes—
237C2×C4×D5C23×C318yes—
238C2×Dic10—24no—
239C2×Dic10—44no—
240C2×Dic10C23×C314yes—
241C2×Dic10C23×C318yes—
242C5×C4⋊C4C23×C314yes—
243C5×C4⋊C4C23×C314yes—
244C5×C4⋊C4C23×C318yes—
245C22⋊Dic5C23×C318yes—
246C22⋊Dic5C23×C314yes—
247#685C23×C314yes—
248#685C23×C318yes—
249C4⋊Dic5C23×C314yes—
250C4⋊Dic5C23×C318yes—
251#683C23×C318yes—
252#683C23×C318yes—
253#683C23×C314yes—
254#683C23×C318yes—
255#683C23×C318yes—
256C4×Dic5C23×C314yes—
257C4×Dic5C23×C318yes—
258#554—516no—
259C2×C4⋊Q8—51no—
260C2×#125—52no—
261C2×C22⋊Q8—52no—
262C2×C22⋊Q8—51no—
263C2×C22⋊Q8—52no—
264C2×C22⋊Q8—51no—
265C2×C4×Q8—51no—
266C2×C4×D4—52no—
267C2×C4×D4—51no—
268C22×C4⋊C4—51no—
269C22×C4⋊C4C3×D511yescharacteristic, complemented
270C22×C3×C5—28no—
271C22×C3×C5—22no—
272C22×C3×C5—22no—
273C22×C3×C5C22×Q814yes—
274C22×C3×C5C22×Q812yes—
275C22×C3×C5C2×#4112yes—
276C22×C3×C5H(5,𝔽2)12yes—
277C22×C3×C5C2511yescharacteristic
278C2×C3×D5—28no—
279C2×C3×D5—22no—
280C2×C3×D5—22no—
281C2×C3×D5C22×Q814yes—
282C3×C4×C5—22no—
283C3×C4×C5—24no—
284C3×C4×C5—24no—
285C3×C4×C5C2×#4114yes—
286C3×Dic5—24no—
287C3×Dic5—22no—
288C3×Dic5—22no—
289C3×Dic5—24no—
290C3×Dic5C22×Q814yes—
291C24×C3—51no—
292C24×C3C22×D511yescharacteristic
293C2×C3×Q8—54no—
294C2×C3×Q8—58no—
295C2×C3×Q8—104no—
296C2×C3×Q8—204no—
297C2×C3×D4—58no—
298C2×C3×D4—54no—
299C22×C3×C4—24no—
300C22×C3×C4—44no—
301C22×C3×C4—51no—
302C22×C3×C4—52no—
303C22×C3×C4—51no—
304C22×C3×C4—51no—
305C22×C3×C4—52no—
306C22×C3×C4—54no—
307C22×C3×C4—58no—
308C22×C3×C4—104no—
309C22×C3×C4—204no—
310C22×C3×C4C22×D514yes—
311C22×C3×C4C22×D512yes—
312C22×C3×C4C22×D511yescharacteristic
313C22×C3×C4C22×D512yes—
314C22×C3×C4C22×D518yes—
315C22×C3×C4C22×D511yescharacteristic
316C3×C4⋊C4—58no—
317C3×C4⋊C4—54no—
318C3×C4⋊C4—58no—
319C3×C4⋊C4—58no—
320C3×C4⋊C4—58no—
321C3×C4⋊C4—54no—
322C3×C4⋊C4—58no—
323C3×C4⋊C4C22×D514yes—
324C3×C4⋊C4C22×D518yes—
325C3×C4⋊C4C22×D514yes—
326C3×C22⋊C4—58no—
327C3×C22⋊C4—54no—
328C3×C22⋊C4—58no—
329C3×C22⋊C4—54no—
330C3×C42—58no—
331C3×C42—54no—
332C23×C5—22no—
333C23×C5—22no—
334C23×C5C2×C3×Q814yes—
335C23×C5C24×C312yes—
336C23×C5C24×C311yescharacteristic
337C22×D5—22no—
338C22×D5—22no—
339C22×D5C2×C3×Q814yes—
340C22×D5C24×C312yes—
341C2×C4×C5—22no—
342C2×C4×C5—24no—
343C2×C4×C5—24no—
344C2×C4×C5—28no—
345C2×C4×C5—48no—
346C2×C4×C5C3×#4114yes—
347C2×C4×C5C24×C314yes—
348C2×C4×C5C24×C312yes—
349C2×C4×C5C24×C314yes—
350C2×C4×C5C24×C312yes—
351C22⋊D5C2×C3×Q8116yescomplemented
352C2×Dic5—24no—
353C2×Dic5—22no—
354C2×Dic5—22no—
355C2×Dic5—24no—
356C2×Dic5C2×C3×Q814yes—
357C2×Dic5C24×C314yes—
358C2×Dic5C24×C312yes—
359C2×Dic5C24×C312yes—
360C2×Dic5C24×C314yes—
361C2×Dic5C24×C312yes—
362C4×D5—28no—
363C4×D5—48no—
364Dic10—28no—
365Dic10—48no—
366C22×Q8—51no—
367C22×Q8—52no—
368C22×D4—51no—
369C23×C4—51no—
370C23×C4—52no—
371C23×C4C2×C3×D511yescharacteristic
372C23×C4C2×C3×D512yes—
373C4⋊Q8—58no—
374#125—516no—
375C22⋊Q8—516no—
376C22⋊Q8—58no—
377C22⋊Q8—516no—
378C22⋊Q8—58no—
379C4×Q8—58no—
380C4×D4—516no—
381C4×D4—58no—
382C2×C4⋊C4—52no—
383C2×C4⋊C4—51no—
384C2×C4⋊C4—51no—
385C2×C4⋊C4—52no—
386C2×C4⋊C4—52no—
387C2×C4⋊C4—52no—
388C2×C4⋊C4—52no—
389C2×C4⋊C4—58no—
390C2×C4⋊C4C2×C3×D511yescharacteristic
391C2×C4⋊C4C2×C3×D512yes—
392C2×C4⋊C4C2×C3×D511yescharacteristic
393C2×C4⋊C4C2×C3×D518yescomplemented
394C2×C22⋊C4—52no—
395C2×C22⋊C4—51no—
396C2×C22⋊C4—52no—
397C2×C22⋊C4—51no—
398C2×C42—52no—
399C2×C42—51no—
400C2×C3×C5—24no—
401C2×C3×C5#55414yescomplemented
402C2×C3×C5C23×Q811yescharacteristic
403C2×C3×C5C22×#4111yescharacteristic
404C2×C3×C5C2×H(5,𝔽2)11yescharacteristic
405C3×D5—24no—
406C23×C3—22no—
407C23×C3—22no—
408C23×C3—54no—
409C23×C3—52no—
410C23×C3—102no—
411C23×C3—102no—
412C23×C3Q8×D514yes—
413C23×C3C23×D512yes—
414C23×C3C23×D511yescharacteristic
415C3×Q8—108no—
416C3×Q8—208no—
417C3×D4—516no—
418C2×C3×C4—22no—
419C2×C3×C4—24no—
420C2×C3×C4—24no—
421C2×C3×C4—28no—
422C2×C3×C4—48no—
423C2×C3×C4—54no—
424C2×C3×C4—52no—
425C2×C3×C4—54no—
426C2×C3×C4—52no—
427C2×C3×C4—52no—
428C2×C3×C4—54no—
429C2×C3×C4—102no—
430C2×C3×C4—104no—
431C2×C3×C4—104no—
432C2×C3×C4—102no—
433C2×C3×C4—108no—
434C2×C3×C4—208no—
435C2×C3×C4#70914yes—
436C2×C3×C4C23×D514yes—
437C2×C3×C4C23×D512yes—
438C2×C3×C4C23×D514yes—
439C2×C3×C4C23×D512yes—
440C22×C5—22no—
441C22×C5—22no—
442C22×C5—28no—
443C22×C5C22×C3×Q814yes—
444C22×C5C22×C3×Q812yes—
445C22×C5C2×C3×#4112yes—
446C22×C5C3×H(5,𝔽2)12yes—
447C22×C5C25×C311yescharacteristic
448C2×D5—22no—
449C2×D5—22no—
450C2×D5—28no—
451C2×D5C22×C3×Q814yes—
452C4×C5—22no—
453C4×C5—24no—
454C4×C5—24no—
455C4×C5C2×C3×#4114yes—
456Dic5—24no—
457Dic5—22no—
458Dic5—22no—
459Dic5—24no—
460Dic5C22×C3×Q814yes—
461C24—51no—
462C24C22×C3×D511yescharacteristic
463C2×Q8—54no—
464C2×Q8—58no—
465C2×Q8—104no—
466C2×Q8—204no—
467C2×D4—58no—
468C2×D4—54no—
469C22×C4—24no—
470C22×C4—44no—
471C22×C4—51no—
472C22×C4—52no—
473C22×C4—51no—
474C22×C4—51no—
475C22×C4—52no—
476C22×C4—54no—
477C22×C4—58no—
478C22×C4—104no—
479C22×C4—204no—
480C22×C4C22×C3×D512yes—
481C22×C4C22×C3×D511yescharacteristic
482C22×C4C22×C3×D512yes—
483C22×C4C22×C3×D514yes—
484C22×C4C22×C3×D518yes—
485C22×C4C22×C3×D511yescharacteristic
486C4⋊C4—58no—
487C4⋊C4—54no—
488C4⋊C4—54no—
489C4⋊C4—58no—
490C4⋊C4—58no—
491C4⋊C4—58no—
492C4⋊C4—58no—
493C4⋊C4C22×C3×D514yes—
494C4⋊C4C22×C3×D518yes—
495C4⋊C4C22×C3×D514yes—
496C22⋊C4—58no—
497C22⋊C4—54no—
498C22⋊C4—58no—
499C22⋊C4—54no—
500C42—58no—
501C42—54no—
502C3×C5C2×#55411yescharacteristic, complemented, Hall
503C22×C3—28no—
504C22×C3—22no—
505C22×C3—22no—
506C22×C3—54no—
507C22×C3—108no—
508C22×C3—102no—
509C22×C3—102no—
510C22×C3C2×#70912yes—
511C22×C3#414412yes—
512C22×C3C2×Q8×D514yes—
513C22×C3C2×Q8×D512yes—
514C22×C3C24×D511yescharacteristic
515C3×C4—22no—
516C3×C4—24no—
517C3×C4—24no—
518C3×C4—54no—
519C3×C4—102no—
520C3×C4—104no—
521C3×C4—104no—
522C3×C4—102no—
523C3×C4C2×#70914yes—
524C2×C5—24no—
525C2×C5C3×#55414yescomplemented
526C2×C5C23×C3×Q811yescharacteristic
527C2×C5C22×C3×#4111yescharacteristic
528C2×C5C2×C3×H(5,𝔽2)11yescharacteristic
529D5—24no—
530C23—22no—
531C23—22no—
532C23—54no—
533C23—52no—
534C23—102no—
535C23—102no—
536C23C3×Q8×D514yes—
537C23C23×C3×D512yes—
538C23C23×C3×D511yescharacteristic
539Q8—108no—
540Q8—208no—
541D4—516no—
542C2×C4—22no—
543C2×C4—24no—
544C2×C4—24no—
545C2×C4—28no—
546C2×C4—48no—
547C2×C4—54no—
548C2×C4—52no—
549C2×C4—54no—
550C2×C4—52no—
551C2×C4—52no—
552C2×C4—54no—
553C2×C4—102no—
554C2×C4—104no—
555C2×C4—104no—
556C2×C4—102no—
557C2×C4—108no—
558C2×C4—208no—
559C2×C4C3×#70914yes—
560C2×C4C23×C3×D514yes—
561C2×C4C23×C3×D512yes—
562C2×C4C23×C3×D514yes—
563C2×C4C23×C3×D512yes—
564C2×C3—24no—
565C2×C3—104no—
566C2×C3#6584514yesdirect product factor
567C2×C3C22×#70911yescharacteristic
568C2×C3C2×#414411yescharacteristic
569C2×C3C22×Q8×D511yescharacteristic
570C5C2×C3×#55411yescharacteristic, complemented, Sylow
571C22—28no—
572C22—22no—
573C22—22no—
574C22—54no—
575C22—108no—
576C22—102no—
577C22—102no—
578C22C2×C3×#70912yes—
579C22C3×#414412yes—
580C22C2×C3×Q8×D514yes—
581C22C2×C3×Q8×D512yes—
582C22C24×C3×D511yescharacteristic
583C4—22no—
584C4—24no—
585C4—24no—
586C4—54no—
587C4—102no—
588C4—104no—
589C4—104no—
590C4—102no—
591C4C2×C3×#70914yes—
592C3C2×#6584511yescharacteristic, direct product factor, Sylow
593C2—24no—
594C2—104no—
595C2C3×#6584514yesdirect product factor
596C2C22×C3×#70911yescharacteristic
597C2C2×C3×#414411yescharacteristic
598C2C22×C3×Q8×D511yescharacteristic
subgroupG/H
centerC23×C3C23×D5
commutator, cosocleC22×C5C25×C3
FrattiniC22C24×C3×D5
FittingC22×C3×C5×C4⋊C4C2
socleC23×C3×C5C24
prime radicalC22×C3×C22⋊D5C22
hypercenterC22×C3×C4⋊C4D5
hypocenterC5C2×C3×#554
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23×C3 ◁ C22×C3×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C22×C3×C5×C4⋊C4C2semidirect
4. C2×C3×#4070C2semidirect
5. C2×C3×#4070C2semidirect
6. C3×#65845C2direct (N × H)
7. C2×C3×#4043C2semidirect
8. C2×C3×#4042C2semidirect
9. C2×C3×D5×C4⋊C4C2semidirect
10. C2×C3×#4035C2semidirect
11. C2×C3×#4034C2semidirect
12. C2×C3×#4033C2semidirect
13. C2×#65845C3direct (N × H)
24. C2×C3×C5×C4⋊C4C22semidirect
33. C3×#4070C22semidirect
34. C3×#4070C22semidirect
42. C3×#4043C22semidirect
43. C3×#4042C22semidirect
44. C3×D5×C4⋊C4C22semidirect
45. C3×#4035C22semidirect
46. C3×#4034C22semidirect
47. C3×#4033C22semidirect
49. C22×C5×C4⋊C4C2×C3semidirect
52. C2×#4070C2×C3semidirect
53. C2×#4070C2×C3semidirect
54. #65845C2×C3direct (N × H)
55. C2×#4043C2×C3semidirect
56. C2×#4042C2×C3semidirect
57. C2×D5×C4⋊C4C2×C3semidirect
58. C2×#4035C2×C3semidirect
59. C2×#4034C2×C3semidirect
60. C2×#4033C2×C3semidirect
71. C2×C3×C22⋊D5Q8semidirect
113. C22×C3×C4⋊C4D5semidirect
124. C2×C5×C4⋊C4C22×C3semidirect
133. #4070C22×C3semidirect
134. #4070C22×C3semidirect
142. #4043C22×C3semidirect
143. #4042C22×C3semidirect
144. D5×C4⋊C4C22×C3semidirect
145. #4035C22×C3semidirect
146. #4034C22×C3semidirect
147. #4033C22×C3semidirect
168. C3×C22⋊D5C2×Q8semidirect
210. C2×C3×C4⋊C4C2×D5semidirect
227. C2×C22⋊D5C3×Q8semidirect
269. C22×C4⋊C4C3×D5semidirect
351. C22⋊D5C2×C3×Q8semidirect
393. C2×C4⋊C4C2×C3×D5semidirect
401. C2×C3×C5#554semidirect
502. C3×C5C2×#554semidirect
525. C2×C5C3×#554semidirect
566. C2×C3#65845direct (N × H)
570. C5C2×C3×#554semidirect
592. C3C2×#65845direct (N × H)
595. C2C3×#65845direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×C5×C4⋊C42
C2×C3×C4×C22⋊D52
C2×C3×#40702
C3×#658452
C2×C3×#40432
C2×C3×#40422
C2×C3×D5×C4⋊C42
C2×C3×#40352
C2×C3×#40342
C2×C3×#40332
C2×#658453
C2×C3×#5545