Finite Group Databasebeta

← C2×C4×#6773 #14478923

Subgroups — C2×C4×#6773 #14478923

Order 1920.

3456 conjugacy classes of subgroups.

The subgroup lattice has 624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#6773C211yesmaximal, characteristic
2C2×C4×D60C211yesmaximal, characteristic, complemented
3C2×C4×C5×Dic6C211yesmaximal, characteristic, complemented
4C2×C3×C42×D5C211yesmaximal, characteristic, complemented
5C2×#91444C212yesmaximal, complemented
6C2×C4×#1202C212yesmaximal, complemented
7C2×#91418C211yesmaximal, characteristic, complemented
8C2×#91402C212yesmaximal, complemented
9C2×C4×#1200C212yesmaximal, complemented
10C2×#91358C211yesmaximal, characteristic, complemented
11C2×Dic5×Dic6C211yesmaximal, characteristic, complemented
12C4×#6773C2116yesmaximal, direct product factor
13C2×C4×#713—31nomaximal, Hall
14C22×D60C2211yescharacteristic
15C22×C4×D15C2212yes—
16C22×C5×Dic6C2211yescharacteristic
17C22×C3×C4×D5C2211yescharacteristic
18C22×C3×C4×D5C2211yescharacteristic
19C22×C3×C4×D5C2211yescharacteristic
20C22×#1202C2212yes—
21C22×#1200C2212yes—
22C22×#1200C2212yes—
23C2×#6773C4116yesdirect product factor
24C2×#6773C2218yes—
25C2×C3×C42×C5C2211yescharacteristic
26C2×#6714C2212yes—
27C2×C4⋊Dic15C2211yescharacteristic
28C4×D60C2218yescomplemented
29C2×C5×C4⋊Dic3C2211yescharacteristic
30C2×C5×Dic3⋊C4C2212yes—
31C2×C4×C5×Dic3C2212yes—
32C4×C5×Dic6C2218yescomplemented
33C2×C3×C4×Dic5C2211yescharacteristic
34C2×C3×C4×Dic5C2211yescharacteristic
35C2×C3×C4×Dic5C2211yescharacteristic
36C3×C42×D5C2218yescomplemented
37C2×Dic3⋊Dic5C2212yes—
38C2×#6667C2212yes—
39C2×#6665C2212yes—
40C2×Dic3×Dic5C2212yes—
41C2×Dic3×Dic5C2212yes—
42#91444C22116yescomplemented
43C4×#1202C22116yescomplemented
44#91418C2218yescomplemented
45#91402C22116yescomplemented
46C4×#1200C22116yescomplemented
47#91358C2218yescomplemented
48Dic5×Dic6C2218yescomplemented
49C2×C4×#235—51nomaximal, Hall
50C22×#713—31no—
51C2×C4×C5×Q8—31no—
52C2×Q8×Dic5—31no—
53C4×#713—316no—
54C2×#4039—31no—
55C2×#4039—32no—
56C2×#4038—32no—
57C2×#4038—31no—
58C2×C4×D20—32no—
59C2×C4×D20—31no—
60C2×C42×D5—32no—
61C2×C42×D5D311yescharacteristic, complemented
62C23×D15C2312yes—
63C23×C3×D5C2311yescharacteristic
64C22×C3×C4×C5C2311yescharacteristic
65C22×C3×C4×C5C2311yescharacteristic
66C22×C3×C4×C5C2311yescharacteristic
67C22×Dic15C2312yes—
68C2×D60C2×C418yescomplemented
69C2×D60C2314yes—
70C2×C4×D15—28no—
71C2×C4×D15C2318yes—
72C22×C5×Dic3C2312yes—
73C22×C5×Dic3C2312yes—
74C2×C5×Dic6C2×C418yescomplemented
75C2×C5×Dic6C2314yes—
76C22×C3×Dic5C2311yescharacteristic
77C22×C3×Dic5C2311yescharacteristic
78C22×C3×Dic5C2311yescharacteristic
79C2×C3×C4×D5—24no—
80C2×C3×C4×D5—24no—
81C2×C3×C4×D5C2×C418yescomplemented
82C2×C3×C4×D5C2314yes—
83C2×C3×C4×D5C2314yes—
84C2×C3×C4×D5C2314yes—
85C2×#1202C2×C4116yescomplemented
86C2×#1202C2318yes—
87C2×#1200—28no—
88C2×#1200C2×C4116yescomplemented
89C2×#1200C2318yes—
90C2×#1200C2318yes—
91#6773C2×C4164yesdirect product factor
92C3×C42×C5C2314yes—
93#6714C2318yes—
94C4⋊Dic15C2314yes—
95C5×C4⋊Dic3C2314yes—
96C5×Dic3⋊C4C2318yes—
97C4×C5×Dic3C2318yes—
98C3×C4×Dic5C2314yes—
99C3×C4×Dic5C2314yes—
100C3×C4×Dic5C2314yes—
101Dic3⋊Dic5C2318yes—
102#6667C2318yes—
103#6665C2318yes—
104Dic3×Dic5C2318yes—
105Dic3×Dic5C2318yes—
106C22×#235—51no—
107C22×C3×C42—51no—
108C2×C4×#67—52no—
109C2×C4×#67—52no—
110C2×#926—51no—
111C4×#235—516no—
112C2×C4×D12—51no—
113C2×C4×D12—51no—
114C2×#872—52no—
115C2×C42×D3—52no—
116C2×C4×Dic6—51no—
117C2×C4×Dic6D511yescharacteristic, complemented
118C22×C5×Q8—31no—
119C2×#713—316no—
120C2×#713—38no—
121C22×D20—32no—
122C22×D20—31no—
123C22×C4×D5—32no—
124C22×C4×D5—32no—
125C22×C4×D5—32no—
126C22×C4×D5C2×D311yescharacteristic
127C22×C4×D5C2×D311yescharacteristic
128C22×C4×D5C2×D311yescharacteristic
129C4×C5×Q8—38no—
130C2×C5×C4⋊C4—32no—
131C2×C5×C4⋊C4—31no—
132C2×C42×C5—32no—
133C2×C42×C5C2×D311yescharacteristic
134Q8×Dic5—38no—
135C2×#685—32no—
136C2×#685—32no—
137C2×#685—32no—
138C2×C4⋊Dic5—31no—
139C2×C4⋊Dic5—32no—
140C2×C4×Dic5—32no—
141C2×C4×Dic5—32no—
142C2×C4×Dic5C2×D311yescharacteristic
143C2×C4×Dic5C2×D311yescharacteristic
144C2×C4×Dic5C2×D311yescharacteristic
145#4039—316no—
146#4039—38no—
147#4038—38no—
148#4038—316no—
149C4×D20—316no—
150C4×D20—38no—
151C42×D5—316no—
152C42×D5C2×D318yescomplemented
153C2×C4×#41—151noSylow
154C23×C3×C5C2411yescharacteristic
155C22×D15—24no—
156C22×D15—24no—
157C22×D15C22×C418yes—
158C22×D15C2414yes—
159C22×C3×D5—22no—
160C22×C3×D5—22no—
161C22×C3×D5C22×C414yes—
162C22×C3×D5C2412yes—
163C2×C3×C4×C5—22no—
164C2×C3×C4×C5C22×C414yes—
165C2×C3×C4×C5#4114yescomplemented
166C2×C3×C4×C5C2412yes—
167C2×C3×C4×C5C2412yes—
168C2×C3×C4×C5C2412yes—
169C2×Dic15—24no—
170C2×Dic15C2414yes—
171D60C22×C4116yescomplemented
172C4×D15—216no—
173C2×C5×Dic3—24no—
174C2×C5×Dic3C22×C418yes—
175C2×C5×Dic3C2414yes—
176C2×C5×Dic3C2414yes—
177C5×Dic6C22×C4116yescomplemented
178C2×C3×Dic5—22no—
179C2×C3×Dic5C22×C414yes—
180C2×C3×Dic5#4114yescomplemented
181C2×C3×Dic5C2412yes—
182C2×C3×Dic5C2412yes—
183C2×C3×Dic5C2412yes—
184C3×C4×D5—28no—
185C3×C4×D5—28no—
186C3×C4×D5C22×C4116yescomplemented
187#1202C22×C4132yescomplemented
188#1200—216no—
189#1200C22×C4132yescomplemented
190C23×C3×C4—51no—
191C23×C3×C4—51no—
192C23×C3×C4—51no—
193C22×#67—52no—
194C2×#235—516no—
195C2×#235—58no—
196C22×D12—51no—
197C22×C4×D3—52no—
198C22×C4×D3—52no—
199C22×C4×D3—52no—
200C22×Dic6C2×D511yescharacteristic
201C2×C3×C42—51no—
202C2×C3×C42—51no—
203C2×C3×C42—51no—
204C2×C3×C42—58no—
205C2×C3×C42C2×D511yescharacteristic
206C2×#217—52no—
207C4×#67—516no—
208C4×#67—516no—
209C2×(C2×D3)⋊C4—52no—
210C2×(C2×D3)⋊C4—52no—
211#926—58no—
212C2×C4⋊Dic3—51no—
213C2×C4⋊Dic3C2×D511yescharacteristic
214C2×Dic3⋊C4—52no—
215C2×Dic3⋊C4C2×D512yes—
216C2×C4×Dic3—52no—
217C2×C4×Dic3—52no—
218C2×C4×Dic3C2×D512yes—
219C4×D12—58no—
220C4×D12—58no—
221#872—516no—
222C42×D3—516no—
223C4×Dic6—58no—
224C4×Dic6C2×D518yescomplemented
225C23×D5—32no—
226C23×D5C22×D311yescharacteristic
227C2×C5×Q8—38no—
228C2×C5×Q8—34no—
229C22×C4×C5—32no—
230C22×C4×C5—32no—
231C22×C4×C5C22×D311yescharacteristic
232C22×C4×C5C22×D311yescharacteristic
233C22×C4×C5C22×D311yescharacteristic
234C22×Dic5—32no—
235C22×Dic5C22×D311yescharacteristic
236C22×Dic5C22×D311yescharacteristic
237C22×Dic5C22×D311yescharacteristic
238#713—364no—
239C2×D20—316no—
240C2×D20—38no—
241C2×D20—38no—
242C2×D20—34no—
243C2×C4×D5—24no—
244C2×C4×D5—24no—
245C2×C4×D5—316no—
246C2×C4×D5—38no—
247C2×C4×D5—38no—
248C2×C4×D5—38no—
249C2×C4×D5—68no—
250C2×C4×D5—68no—
251C2×C4×D5C4×D318yescomplemented
252C2×C4×D5C22×D314yes—
253C2×C4×D5C22×D314yes—
254C2×C4×D5C22×D314yes—
255C5×C4⋊C4—38no—
256C5×C4⋊C4—34no—
257C42×C5—38no—
258C42×C5C22×D314yes—
259#685—38no—
260#685—38no—
261#685—38no—
262C4⋊Dic5—34no—
263C4⋊Dic5—38no—
264C4×Dic5—38no—
265C4×Dic5—38no—
266C4×Dic5C22×D314yes—
267C4×Dic5C22×D314yes—
268C4×Dic5C22×D314yes—
269C22×#41—151no—
270C4×#41—1516no—
271C2×C4×Q8—31no—
272C2×C4×Q8—151no—
273C2×C4×D4—152no—
274C2×C4×D4—151no—
275C2×C4×D4—152no—
276C2×C4×D4—151no—
277C2×#117—152no—
278C2×#117—151no—
279C22×C42—51no—
280C22×C42—152no—
281C22×C3×C5C23×C412yes—
282C22×C3×C5C2×#4112yes—
283C22×C3×C5C2×#4112yes—
284C22×C3×C5C2511yescharacteristic
285C2×D15—216no—
286C2×D15—24no—
287C2×D15—24no—
288C2×D15C23×C418yes—
289C2×C3×D5—28no—
290C2×C3×D5—22no—
291C2×C3×D5—22no—
292C2×C3×D5C23×C414yes—
293C3×C4×C5—22no—
294C3×C4×C5C23×C414yes—
295C3×C4×C5C2×#4114yescomplemented
296Dic15—24no—
297C3×Dic5—22no—
298C3×Dic5C23×C414yes—
299C3×Dic5C2×#4114yescomplemented
300C5×Dic3—24no—
301C5×Dic3C23×C418yes—
302C24×C3—51no—
303C23×D3—52no—
304C22×C3×C4—51no—
305C22×C3×C4—51no—
306C22×C3×C4—58no—
307C22×C3×C4—54no—
308C22×C3×C4—51no—
309C22×C3×C4—54no—
310C22×C3×C4—54no—
311C22×C3×C4—104no—
312C22×C3×C4—104no—
313C22×C3×C4C22×D511yescharacteristic
314C22×C3×C4C22×D511yescharacteristic
315C22×C3×C4C22×D511yescharacteristic
316C2×#67—516no—
317C2×#67—58no—
318C22×Dic3—52no—
319C22×Dic3C22×D512yes—
320C22×Dic3C22×D512yes—
321#235—564no—
322C2×D12—58no—
323C2×D12—54no—
324C2×C4×D3—516no—
325C2×C4×D3—58no—
326C2×C4×D3—58no—
327C2×C4×D3—58no—
328C2×C4×D3—108no—
329C2×C4×D3—108no—
330C2×Dic6C4×D518yescomplemented
331C2×Dic6C22×D514yes—
332C3×C42—54no—
333C3×C42—54no—
334C3×C42—54no—
335C3×C42C22×D514yes—
336#217—58no—
337(C2×D3)⋊C4—58no—
338(C2×D3)⋊C4—58no—
339C4⋊Dic3—54no—
340C4⋊Dic3C22×D514yes—
341Dic3⋊C4—58no—
342Dic3⋊C4C22×D518yes—
343C4×Dic3—58no—
344C4×Dic3—58no—
345C4×Dic3C22×D518yes—
346C23×C5C23×D311yescharacteristic
347C22×D5—22no—
348C22×D5—22no—
349C22×D5—38no—
350C22×D5—34no—
351C22×D5—64no—
352C22×D5—64no—
353C22×D5C2×C4×D314yes—
354C22×D5C23×D312yes—
355C5×Q8—316no—
356C2×C4×C5—22no—
357C2×C4×C5—38no—
358C2×C4×C5—34no—
359C2×C4×C5—34no—
360C2×C4×C5—64no—
361C2×C4×C5C2×C4×D314yes—
362C2×C4×C5#23514yescomplemented
363C2×C4×C5C23×D312yes—
364C2×C4×C5C23×D312yes—
365C2×C4×C5C23×D312yes—
366C2×Dic5—22no—
367C2×Dic5—34no—
368C2×Dic5—64no—
369C2×Dic5C2×C4×D314yes—
370C2×Dic5#23514yescomplemented
371C2×Dic5C23×D312yes—
372C2×Dic5C23×D312yes—
373C2×Dic5C23×D312yes—
374D20—332no—
375D20—316no—
376C4×D5—28no—
377C4×D5—28no—
378C4×D5—332no—
379C4×D5—616no—
380C4×D5—616no—
381C4×D5C2×C4×D3116yescomplemented
382C2×#41—158no—
383C2×#41—1516no—
384C22×Q8—31no—
385C22×D4—152no—
386C22×D4—151no—
387C23×C4—51no—
388C23×C4—51no—
389C23×C4—51no—
390C23×C4—152no—
391C23×C4—152no—
392C23×C4—152no—
393C4×Q8—38no—
394C4×Q8—158no—
395C4×D4—1516no—
396C4×D4—158no—
397C4×D4—1516no—
398C4×D4—158no—
399#117—1516no—
400#117—158no—
401C2×C4⋊C4—32no—
402C2×C4⋊C4—31no—
403C2×C4⋊C4—152no—
404C2×C4⋊C4—151no—
405C2×C22⋊C4—152no—
406C2×C22⋊C4—152no—
407C2×C22⋊C4—152no—
408C2×C42—32no—
409C2×C42—51no—
410C2×C42—51no—
411C2×C42—51no—
412C2×C42—58no—
413C2×C42—1516no—
414C2×C42—152no—
415C2×C42—152no—
416C2×C42D3×D511yescharacteristic
417C2×C3×C5C4×#4114yescomplemented
418C2×C3×C5C24×C411yescharacteristic
419C2×C3×C5C22×#4111yescharacteristic
420C2×C3×C5C22×#4111yescharacteristic
421D15—28no—
422C3×D5—24no—
423C23×C3—54no—
424C23×C3—52no—
425C23×C3—102no—
426C23×C3—102no—
427C23×C3C23×D511yescharacteristic
428C22×D3—58no—
429C22×D3—54no—
430C22×D3—104no—
431C22×D3—104no—
432C2×C3×C4—22no—
433C2×C3×C4—54no—
434C2×C3×C4—54no—
435C2×C3×C4—52no—
436C2×C3×C4—52no—
437C2×C3×C4—516no—
438C2×C3×C4—52no—
439C2×C3×C4—108no—
440C2×C3×C4—102no—
441C2×C3×C4—108no—
442C2×C3×C4C2×C4×D514yes—
443C2×C3×C4#71314yescomplemented
444C2×C3×C4C23×D512yes—
445C2×C3×C4C23×D512yes—
446C2×C3×C4C23×D512yes—
447#67—532no—
448C2×Dic3—24no—
449C2×Dic3—54no—
450C2×Dic3—104no—
451C2×Dic3C2×C4×D518yes—
452C2×Dic3C23×D514yes—
453C2×Dic3C23×D514yes—
454D12—516no—
455C4×D3—532no—
456C4×D3—1016no—
457C4×D3—1016no—
458Dic6C2×C4×D5116yescomplemented
459C22×C5C22×C4×D312yes—
460C22×C5C2×#23512yes—
461C22×C5C2×#23512yes—
462C22×C5C24×D311yescharacteristic
463C2×D5—22no—
464C2×D5—22no—
465C2×D5—28no—
466C2×D5—38no—
467C2×D5—64no—
468C2×D5—64no—
469C2×D5—616no—
470C2×D5C22×C4×D314yes—
471C4×C5—22no—
472C4×C5—38no—
473C4×C5—64no—
474C4×C5C22×C4×D314yes—
475C4×C5C2×#23514yescomplemented
476Dic5—22no—
477Dic5—64no—
478Dic5C22×C4×D314yes—
479Dic5C2×#23514yescomplemented
480C24—51no—
481C24—152no—
482#41—1564no—
483C2×Q8—38no—
484C2×Q8—34no—
485C2×D4—158no—
486C2×D4—1516no—
487C2×D4—158no—
488C2×D4—154no—
489C22×C4—32no—
490C22×C4—32no—
491C22×C4—51no—
492C22×C4—51no—
493C22×C4—58no—
494C22×C4—54no—
495C22×C4—51no—
496C22×C4—54no—
497C22×C4—54no—
498C22×C4—104no—
499C22×C4—104no—
500C22×C4—158no—
501C22×C4—1516no—
502C22×C4—158no—
503C22×C4—152no—
504C22×C4—158no—
505C22×C4—308no—
506C22×C4—308no—
507C22×C4C2×D3×D511yescharacteristic
508C22×C4C2×D3×D511yescharacteristic
509C22×C4C2×D3×D511yescharacteristic
510C4⋊C4—38no—
511C4⋊C4—34no—
512C4⋊C4—158no—
513C4⋊C4—154no—
514C22⋊C4—158no—
515C22⋊C4—158no—
516C22⋊C4—158no—
517C42—38no—
518C42—54no—
519C42—54no—
520C42—54no—
521C42—158no—
522C42—158no—
523C42C2×D3×D514yes—
524C3×C5C2×C4×#4111yescharacteristic, complemented, Hall
525C22×C3—54no—
526C22×C3—108no—
527C22×C3—102no—
528C22×C3—102no—
529C22×C3C22×C4×D512yes—
530C22×C3C2×#71312yes—
531C22×C3D5×#4112yes—
532C22×C3C24×D511yescharacteristic
533C2×D3—58no—
534C2×D3—1016no—
535C2×D3—104no—
536C2×D3—104no—
537C3×C4—22no—
538C3×C4—54no—
539C3×C4—54no—
540C3×C4—102no—
541C3×C4C22×C4×D514yes—
542C3×C4C2×#71314yescomplemented
543Dic3—24no—
544Dic3—104no—
545Dic3C22×C4×D518yes—
546C2×C5C4×#23514yescomplemented
547C2×C5C23×C4×D311yescharacteristic
548C2×C5C22×#23511yescharacteristic
549C2×C5C22×#23511yescharacteristic
550D5—24no—
551D5—68no—
552C23—54no—
553C23—52no—
554C23—102no—
555C23—102no—
556C23—158no—
557C23—154no—
558C23—304no—
559C23—304no—
560C23C22×D3×D511yescharacteristic
561Q8—316no—
562D4—1532no—
563D4—1516no—
564C2×C4—22no—
565C2×C4—38no—
566C2×C4—34no—
567C2×C4—34no—
568C2×C4—54no—
569C2×C4—54no—
570C2×C4—52no—
571C2×C4—52no—
572C2×C4—516no—
573C2×C4—52no—
574C2×C4—64no—
575C2×C4—108no—
576C2×C4—102no—
577C2×C4—108no—
578C2×C4—1532no—
579C2×C4—154no—
580C2×C4—3016no—
581C2×C4—304no—
582C2×C4—3016no—
583C2×C4#677314yesdirect product factor
584C2×C4C4×D3×D514yes—
585C2×C4C22×D3×D512yes—
586C2×C4C22×D3×D512yes—
587C2×C4C22×D3×D512yes—
588C2×C3—104no—
589C2×C3C4×#71314yescomplemented
590C2×C3C23×C4×D511yescharacteristic
591C2×C3C22×#71311yescharacteristic
592C2×C3C2×D5×#4111yescharacteristic
593D3—108no—
594C5C2×C4×#23511yescharacteristic, complemented, Sylow
595C22—54no—
596C22—102no—
597C22—102no—
598C22—108no—
599C22—158no—
600C22—304no—
601C22—304no—
602C22—3016no—
603C22C2×#677312yes—
604C22C2×C4×D3×D512yes—
605C22D5×#23512yes—
606C22C23×D3×D511yescharacteristic
607C4—22no—
608C4—38no—
609C4—54no—
610C4—54no—
611C4—64no—
612C4—102no—
613C4—304no—
614C4C2×#677314yesdirect product factor
615C4C2×C4×D3×D514yes—
616C3C2×C4×#71311yescharacteristic, complemented, Sylow
617C2—104no—
618C2—308no—
619C2C4×#677314yesdirect product factor
620C2C22×#677311yescharacteristic
621C2C22×C4×D3×D511yescharacteristic
622C2C2×D5×#23511yescharacteristic
subgroupG/H
centerC22×C4C2×D3×D5
commutatorC2×C3×C5C24×C4
FrattiniC22C23×D3×D5
FittingC2×C3×C42×C5C22
socleC23×C3×C5C24
prime radicalC22×#6773C2
cosocleC22×C3×C5C25
hypercenterC2×C42D3×D5
hypocenterC3×C5C2×C4×#41
LCSG ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22×C4 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
2. C2×C4×D60C2semidirect
3. C2×C4×C5×Dic6C2semidirect
4. C2×C3×C42×D5C2semidirect
5. C2×#91444C2semidirect
6. C2×C4×#1202C2semidirect
7. C2×#91418C2semidirect
8. C2×#91402C2semidirect
9. C2×C4×#1200C2semidirect
10. C2×#91358C2semidirect
11. C2×Dic5×Dic6C2semidirect
12. C4×#6773C2direct (N × H)
23. C2×#6773C4direct (N × H)
28. C4×D60C22semidirect
32. C4×C5×Dic6C22semidirect
36. C3×C42×D5C22semidirect
42. #91444C22semidirect
43. C4×#1202C22semidirect
44. #91418C22semidirect
45. #91402C22semidirect
46. C4×#1200C22semidirect
47. #91358C22semidirect
48. Dic5×Dic6C22semidirect
61. C2×C42×D5D3semidirect
68. C2×D60C2×C4semidirect
74. C2×C5×Dic6C2×C4semidirect
81. C2×C3×C4×D5C2×C4semidirect
85. C2×#1202C2×C4semidirect
88. C2×#1200C2×C4semidirect
91. #6773C2×C4direct (N × H)
117. C2×C4×Dic6D5semidirect
152. C42×D5C2×D3semidirect
165. C2×C3×C4×C5#41semidirect
171. D60C22×C4semidirect
177. C5×Dic6C22×C4semidirect
180. C2×C3×Dic5#41semidirect
186. C3×C4×D5C22×C4semidirect
187. #1202C22×C4semidirect
189. #1200C22×C4semidirect
224. C4×Dic6C2×D5semidirect
251. C2×C4×D5C4×D3semidirect
295. C3×C4×C5C2×#41semidirect
299. C3×Dic5C2×#41semidirect
330. C2×Dic6C4×D5semidirect
362. C2×C4×C5#235semidirect
370. C2×Dic5#235semidirect
381. C4×D5C2×C4×D3semidirect
417. C2×C3×C5C4×#41semidirect
443. C2×C3×C4#713semidirect
458. Dic6C2×C4×D5semidirect
475. C4×C5C2×#235semidirect
479. Dic5C2×#235semidirect
524. C3×C5C2×C4×#41semidirect
542. C3×C4C2×#713semidirect
546. C2×C5C4×#235semidirect
583. C2×C4#6773direct (N × H)
589. C2×C3C4×#713semidirect
594. C5C2×C4×#235semidirect
614. C4C2×#6773direct (N × H)
616. C3C2×C4×#713semidirect
619. C2C4×#6773direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#67732
C2×C4×D602
C2×C4×C5×Dic62
C2×C3×C42×D52
C2×#914442
C2×C4×#12022
C2×#914182
C2×#914022
C2×C4×#12002
C2×#913582
C2×Dic5×Dic62
C4×#67732
C2×C4×#7133
C2×C4×#2355