Finite Group Databasebeta

← C4⋊C4×#1202 #14327047

Subgroups — C4⋊C4×#1202 #14327047

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×C3×D5×C4⋊C4C211yesmaximal, characteristic, complemented
3C2×C4×#1202C212yesmaximal
4C2×C4×#1202C211yesmaximal, characteristic
5C5×Dic3×C4⋊C4C211yesmaximal, characteristic, complemented
6#11748861C211yesmaximal, characteristic, complemented
7#11748820C212yesmaximal, complemented
8#11748799C211yesmaximal, characteristic, complemented
9#11748759C211yesmaximal, characteristic, complemented
10#11748729C212yesmaximal, complemented
11#11748704C212yesmaximal, complemented
12C4⋊C4×D20—31nomaximal, Hall
13C22×C4×D15C2212yes—
14C22×C4×D15C2211yescharacteristic
15C22×C3×C4×D5C2212yes—
16C22×C3×C4×D5C2211yescharacteristic
17C22×#1202C2211yescharacteristic
18C2×C3×C5×C4⋊C4C2211yescharacteristic
19C2×C4⋊Dic15C2211yescharacteristic
20C2×#6712C2212yes—
21C4⋊C4×D15—24no—
22C2×C5×C4⋊Dic3C2211yescharacteristic
23C2×C4×C5×Dic3C2212yes—
24C2×C4×C5×Dic3C2211yescharacteristic
25C2×C3×C4⋊Dic5C2211yescharacteristic
26C2×C3×#683C2212yes—
27C3×D5×C4⋊C4—24no—
28C2×Dic3⋊Dic5C2212yes—
29C2×Dic3⋊Dic5C2212yes—
30C2×Dic3⋊Dic5C2211yescharacteristic
31C2×#6667C2212yes—
32C2×#6667C2211yescharacteristic
33C2×#6665C2212yes—
34C2×#6665C2211yescharacteristic
35C4×#1202—28no—
36C4×#1202C418yescomplemented
37C5×C3⋊#95C2212yes—
38#90994C2212yes—
39#90994C2212yes—
40C4⋊C4×#67—51nomaximal, Hall
41C2×D5×C4⋊C4—31no—
42C2×D5×C4⋊C4D311yescharacteristic, complemented
43C2×C4×D20—31no—
44C2×C4×D20—32no—
45C4×C5×C4⋊C4—31no—
46#65276—31no—
47#65276—31no—
48#65224—31no—
49#65217—32no—
50#64957—32no—
51#64957—32no—
52C23×D15C2311yescharacteristic
53C23×C3×D5C2311yescharacteristic
54C22×C3×C4×C5C2312yes—
55C22×C3×C4×C5C2311yescharacteristic
56C22×Dic15C2312yes—
57C22×Dic15C2311yescharacteristic
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
66C22×C5×Dic3C2311yescharacteristic
67C22×C3×Dic5C2312yes—
68C22×C3×Dic5C2311yescharacteristic
69C2×C3×C4×D5—22no—
70C2×C3×C4×D5—22no—
71C2×C3×C4×D5—24no—
72C2×C3×C4×D5—24no—
73C2×C3×C4×D5—42no—
74C2×C3×C4×D5C2×C414yescomplemented
75C2×#1202C2×C414yes—
76C2×#1202D414yes—
77C2×#1202Q814yes—
78C3×C5×C4⋊C4D414yescomplemented
79C4⋊Dic15—22no—
80#6712—24no—
81C5×C4⋊Dic3—22no—
82C4×C5×Dic3—24no—
83C4×C5×Dic3C2×C414yescomplemented
84C3×C4⋊Dic5—22no—
85C3×#683—24no—
86Dic3⋊Dic5—24no—
87Dic3⋊Dic5—42no—
88Dic3⋊Dic5C2×C414yescomplemented
89#6667—24no—
90#6667C2×C414yescomplemented
91#6665—24no—
92#6665C2×C414yescomplemented
93C22×C3×C4⋊C4—51no—
94C2×C4×#67—51no—
95C2×C4×#67—52no—
96C2×D3×C4⋊C4—51no—
97#5212—51no—
98#5210—52no—
99#4989—52no—
100#4987—51no—
101#4976—52no—
102#4975—51no—
103Dic3×C4⋊C4D511yescharacteristic, complemented
104C22×D20—31no—
105C22×C4×D5—31no—
106C22×C4×D5—32no—
107C22×C4×D5C2×D312yes—
108C22×C4×D5C2×D311yescharacteristic
109C2×C5×C4⋊C4—31no—
110C2×C5×C4⋊C4C2×D311yescharacteristic
111C2×C42×C5—31no—
112C2×C42×C5—32no—
113C2×#685—31no—
114C2×#685—31no—
115C2×#685—32no—
116C2×#685—32no—
117C2×C4⋊Dic5—31no—
118C2×C4⋊Dic5—31no—
119C2×C4⋊Dic5—32no—
120C2×C4⋊Dic5—32no—
121C2×C4⋊Dic5C2×D311yescharacteristic
122C2×#683—32no—
123C2×#683C2×D312yes—
124D5×C4⋊C4—24no—
125D5×C4⋊C4—64no—
126C4×D20—38no—
127C4×D20—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×C3×D5—21no—
141C22×C3×D5—21no—
142C22×C3×D5—21no—
143C22×C3×D5—21no—
144C22×C3×D5C22×C412yes—
145C22×C3×D5C2×D412yes—
146C22×C3×D5C2×Q812yes—
147C2×C3×C4×C5—22no—
148C2×C3×C4×C5—22no—
149C2×C3×C4×C5C22×C412yes—
150C2×C3×C4×C5C2×D414yes—
151C2×C3×C4×C5C2×D412yes—
152C2×C3×C4×C5#4112yes—
153C2×Dic15—21no—
154C2×Dic15—21no—
155C2×Dic15—22no—
156C2×Dic15—22no—
157C2×Dic15—22no—
158C2×Dic15C22×C412yes—
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—
167C2×C5×Dic3C22×C412yes—
168C2×C5×Dic3C2×D412yes—
169C2×C5×Dic3C2×Q812yes—
170C2×C3×Dic5—21no—
171C2×C3×Dic5—21no—
172C2×C3×Dic5—22no—
173C2×C3×Dic5—22no—
174C2×C3×Dic5—22no—
175C2×C3×Dic5C22×C412yes—
176C3×C4×D5—28no—
177C3×C4×D5—48no—
178#1202C4⋊C4116yesdirect product factor
179C23×C3×C4—51no—
180C23×C3×C4—52no—
181C22×#67—51no—
182C22×C4×D3—51no—
183C22×C4×D3—52no—
184C2×C3×C4⋊C4—51no—
185C2×C3×C4⋊C4—52no—
186C2×C3×C4⋊C4—104no—
187C2×C3×C4⋊C4C2×D511yescharacteristic
188C2×#217—51no—
189C2×#217—52no—
190C4×#67—58no—
191C4×#67—108no—
192C2×(C2×D3)⋊C4—51no—
193C2×(C2×D3)⋊C4—52no—
194C2×C4⋊Dic3—51no—
195C2×C4⋊Dic3C2×D511yescharacteristic
196C2×Dic3⋊C4—51no—
197C2×Dic3⋊C4—52no—
198C2×Dic3⋊C4—52no—
199C2×Dic3⋊C4—52no—
200C2×C4×Dic3C2×D512yes—
201C2×C4×Dic3C2×D511yescharacteristic
202D3×C4⋊C4—104no—
203C3⋊#95—52no—
204C3⋊#95—52no—
205C3⋊#95C2×D512yes—
206C23×D5—31no—
207C23×D5C22×D311yescharacteristic
208C22×C4×C5—31no—
209C22×C4×C5—31no—
210C22×C4×C5—32no—
211C22×C4×C5C22×D312yes—
212C22×C4×C5C22×D311yescharacteristic
213C22×Dic5—31no—
214C22×Dic5—32no—
215C22×Dic5C22×D312yes—
216C22×Dic5C22×D311yescharacteristic
217C2×D20—34no—
218C2×D20—34no—
219C2×D20—34no—
220C2×C4×D5—22no—
221C2×C4×D5—22no—
222C2×C4×D5—24no—
223C2×C4×D5—24no—
224C2×C4×D5—34no—
225C2×C4×D5—42no—
226C2×C4×D5—62no—
227C2×C4×D5—62no—
228C2×C4×D5—64no—
229C2×C4×D5—64no—
230C2×C4×D5—122no—
231C2×C4×D5C4×D314yescomplemented
232C5×C4⋊C4—62no—
233C5×C4⋊C4#6714yescomplemented
234C42×C5—34no—
235C42×C5—64no—
236#685—34no—
237#685—34no—
238#685—64no—
239#685—64no—
240C4⋊Dic5—22no—
241C4⋊Dic5—34no—
242C4⋊Dic5—64no—
243C4⋊Dic5—62no—
244C4⋊Dic5—122no—
245#683—24no—
246#683—64no—
247C2×C4×D4—151no—
248C2×C4×D4—152no—
249C22×C4⋊C4—51no—
250C22×C4⋊C4—151no—
251#389—152no—
252#385—152no—
253#385—152no—
254#384—151no—
255#380—151no—
256#380—151no—
257C4×C4⋊C4—31no—
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×C3×D5—22no—
273C2×C3×D5—22no—
274C2×C3×D5—22no—
275C2×C3×D5—22no—
276C2×C3×D5—22no—
277C2×C3×D5—22no—
278C2×C3×D5C2×C4⋊C414yescomplemented
279C3×C4×C5—24no—
280C3×C4×C5C4×D414yescomplemented
281Dic15—22no—
282Dic15—42no—
283C3×Dic5—22no—
284C3×Dic5—42no—
285C5×Dic3—22no—
286C5×Dic3—42no—
287C5×Dic3C2×C4⋊C414yescomplemented
288C24×C3—51no—
289C23×D3—51no—
290C22×C3×C4—51no—
291C22×C3×C4—54no—
292C22×C3×C4—52no—
293C22×C3×C4—104no—
294C22×C3×C4—102no—
295C22×C3×C4—102no—
296C22×C3×C4—104no—
297C22×C3×C4—202no—
298C22×C3×C4C22×D512yes—
299C22×C3×C4C22×D511yescharacteristic
300C2×#67—54no—
301C2×#67—54no—
302C2×#67—54no—
303C22×Dic3—51no—
304C22×Dic3—52no—
305C22×Dic3C22×D512yes—
306C22×Dic3C22×D511yescharacteristic
307C22×Dic3C22×D511yescharacteristic
308C2×C4×D3—54no—
309C2×C4×D3—102no—
310C2×C4×D3—102no—
311C2×C4×D3—104no—
312C2×C4×D3—104no—
313C2×C4×D3—202no—
314C3×C4⋊C4—104no—
315C3×C4⋊C4—102no—
316C3×C4⋊C4D2014yescomplemented
317#217—54no—
318#217—104no—
319(C2×D3)⋊C4—54no—
320(C2×D3)⋊C4—104no—
321C4⋊Dic3—22no—
322C4⋊Dic3—102no—
323Dic3⋊C4—54no—
324Dic3⋊C4—104no—
325Dic3⋊C4—104no—
326Dic3⋊C4—202no—
327C4×Dic3—24no—
328C4×Dic3C4×D514yescomplemented
329C23×C5C23×D311yescharacteristic
330C22×D5—21no—
331C22×D5—21no—
332C22×D5—21no—
333C22×D5—21no—
334C22×D5—32no—
335C22×D5—32no—
336C22×D5—32no—
337C22×D5—61no—
338C22×D5—61no—
339C22×D5—61no—
340C22×D5—61no—
341C22×D5C2×C4×D312yes—
342C22×D5D3×D412yes—
343C22×D5D3×Q812yes—
344C2×C4×C5—22no—
345C2×C4×C5—22no—
346C2×C4×C5—32no—
347C2×C4×C5—32no—
348C2×C4×C5—32no—
349C2×C4×C5—32no—
350C2×C4×C5—61no—
351C2×C4×C5—61no—
352C2×C4×C5—62no—
353C2×C4×C5—62no—
354C2×C4×C5—62no—
355C2×C4×C5C2×C4×D312yes—
356C2×C4×C5#23512yes—
357C2×C4×C5C2×#6714yes—
358C2×C4×C5C2×#6712yes—
359C2×Dic5—21no—
360C2×Dic5—21no—
361C2×Dic5—22no—
362C2×Dic5—22no—
363C2×Dic5—22no—
364C2×Dic5—32no—
365C2×Dic5—61no—
366C2×Dic5—61no—
367C2×Dic5—62no—
368C2×Dic5—62no—
369C2×Dic5—62no—
370C2×Dic5C2×C4×D312yes—
371D20—316no—
372C4×D5—28no—
373C4×D5—48no—
374C4×D5—68no—
375C4×D5—128no—
376C22×D4—151no—
377C23×C4—51no—
378C23×C4—52no—
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—104no—
387C2×C4⋊C4—151no—
388C2×C4⋊C4—152no—
389C2×C4⋊C4—151no—
390C2×C4⋊C4—152no—
391C2×C4⋊C4—152no—
392C2×C4⋊C4—304no—
393C2×C4⋊C4D3×D511yescharacteristic
394C2×C22⋊C4—151no—
395C2×C22⋊C4—151no—
396C2×C22⋊C4—152no—
397C2×C22⋊C4—152no—
398C2×C42—31no—
399C2×C42—32no—
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—
411C3×D5—24no—
412C23×C3—52no—
413C23×C3—52no—
414C23×C3—52no—
415C23×C3—101no—
416C23×C3—101no—
417C23×C3—101no—
418C23×C3—101no—
419C23×C3C23×D511yescharacteristic
420C22×D3—52no—
421C22×D3—52no—
422C22×D3—52no—
423C22×D3—101no—
424C22×D3—101no—
425C22×D3—101no—
426C22×D3—101no—
427C2×C3×C4—22no—
428C2×C3×C4—22no—
429C2×C3×C4—52no—
430C2×C3×C4—101no—
431C2×C3×C4—101no—
432C2×C3×C4—108no—
433C2×C3×C4—102no—
434C2×C3×C4—102no—
435C2×C3×C4—102no—
436C2×C3×C4—208no—
437C2×C3×C4C2×C4×D512yes—
438C2×C3×C4C2×D2014yes—
439C2×C3×C4C2×D2012yes—
440C2×C3×C4#70912yes—
441#67—516no—
442C2×Dic3—21no—
443C2×Dic3—21no—
444C2×Dic3—22no—
445C2×Dic3—22no—
446C2×Dic3—22no—
447C2×Dic3—52no—
448C2×Dic3—101no—
449C2×Dic3—101no—
450C2×Dic3—102no—
451C2×Dic3—102no—
452C2×Dic3—102no—
453C2×Dic3C2×C4×D512yes—
454C2×Dic3C2×C4×D512yes—
455C2×Dic3D4×D512yes—
456C2×Dic3Q8×D512yes—
457C4×D3—108no—
458C4×D3—208no—
459C22×C5C22×C4×D311yescharacteristic
460C22×C5C2×#23511yescharacteristic
461C22×C5C2×D3×D411yescharacteristic
462C22×C5#100411yescharacteristic
463C22×C5C2×D3×Q811yescharacteristic
464C22×C5#100711yescharacteristic
465C22×C5C22×#6711yescharacteristic
466C2×D5—22no—
467C2×D5—22no—
468C2×D5—22no—
469C2×D5—22no—
470C2×D5—22no—
471C2×D5—22no—
472C2×D5—34no—
473C2×D5—62no—
474C2×D5—62no—
475C2×D5—62no—
476C2×D5—62no—
477C2×D5—62no—
478C2×D5—62no—
479C2×D5D3×C4⋊C414yescomplemented
480C4×C5—24no—
481C4×C5—34no—
482C4×C5—62no—
483C4×C5—122no—
484C4×C5C4×#6714yescomplemented
485Dic5—22no—
486Dic5—42no—
487Dic5—62no—
488Dic5—122no—
489C24—51no—
490C24—151no—
491C2×D4—154no—
492C2×D4—154no—
493C2×D4—154no—
494C22×C4—31no—
495C22×C4—31no—
496C22×C4—32no—
497C22×C4—51no—
498C22×C4—54no—
499C22×C4—52no—
500C22×C4—104no—
501C22×C4—102no—
502C22×C4—102no—
503C22×C4—104no—
504C22×C4—151no—
505C22×C4—154no—
506C22×C4—152no—
507C22×C4—202no—
508C22×C4—304no—
509C22×C4—302no—
510C22×C4—302no—
511C22×C4—304no—
512C22×C4—602no—
513C22×C4C2×D3×D512yes—
514C22×C4C2×D3×D511yescharacteristic
515C4⋊C4—62no—
516C4⋊C4—104no—
517C4⋊C4—102no—
518C4⋊C4—154no—
519C4⋊C4—304no—
520C4⋊C4—304no—
521C4⋊C4—302no—
522C4⋊C4—602no—
523C4⋊C4#120214yesdirect product factor
524C22⋊C4—154no—
525C22⋊C4—154no—
526C22⋊C4—304no—
527C22⋊C4—304no—
528C42—34no—
529C42—64no—
530C3×C5D4×C4⋊C411yescharacteristic, complemented, Hall
531C22×C3—54no—
532C22×C3—102no—
533C22×C3—102no—
534C22×C3—102no—
535C22×C3—102no—
536C22×C3—102no—
537C22×C3—102no—
538C22×C3C22×C4×D511yescharacteristic
539C22×C3C22×D2011yescharacteristic
540C22×C3C2×#70911yescharacteristic
541C22×C3C2×D4×D511yescharacteristic
542C22×C3C2×Q8×D511yescharacteristic
543C22×C3#414911yescharacteristic
544C22×C3#415011yescharacteristic
545C2×D3—54no—
546C2×D3—102no—
547C2×D3—102no—
548C2×D3—102no—
549C2×D3—102no—
550C2×D3—102no—
551C2×D3—102no—
552C3×C4—24no—
553C3×C4—102no—
554C3×C4—202no—
555C3×C4C4×D2014yescomplemented
556Dic3—22no—
557Dic3—42no—
558Dic3—102no—
559Dic3—202no—
560Dic3D5×C4⋊C414yescomplemented
561C2×C5C2×D3×C4⋊C411yescharacteristic
562C2×C5#550411yescharacteristic
563C2×C5#550711yescharacteristic
564C2×C5#551111yescharacteristic
565C2×C5C2×C4×#6711yescharacteristic
566C2×C5D4×#6711yescharacteristic
567C2×C5Q8×#6711yescharacteristic
568D5—24no—
569D5—64no—
570C23—52no—
571C23—52no—
572C23—52no—
573C23—101no—
574C23—101no—
575C23—101no—
576C23—101no—
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—32no—
589C2×C4—32no—
590C2×C4—32no—
591C2×C4—32no—
592C2×C4—52no—
593C2×C4—61no—
594C2×C4—61no—
595C2×C4—62no—
596C2×C4—62no—
597C2×C4—62no—
598C2×C4—101no—
599C2×C4—101no—
600C2×C4—108no—
601C2×C4—102no—
602C2×C4—102no—
603C2×C4—102no—
604C2×C4—152no—
605C2×C4—208no—
606C2×C4—301no—
607C2×C4—301no—
608C2×C4—308no—
609C2×C4—302no—
610C2×C4—302no—
611C2×C4—302no—
612C2×C4—608no—
613C2×C4#677112yes—
614C2×C4C4×D3×D512yes—
615C2×C4C2×#120214yes—
616C2×C4C2×#120212yes—
617C2×C3—104no—
618C2×C3C2×C4×D2011yescharacteristic
619C2×C3C2×D5×C4⋊C411yescharacteristic
620C2×C3#6585711yescharacteristic
621C2×C3D4×D2011yescharacteristic
622C2×C3#6588511yescharacteristic
623C2×C3Q8×D2011yescharacteristic
624C2×C3#6591311yescharacteristic
625D3—104no—
626C5C4⋊C4×#6711yescharacteristic, complemented, Sylow
627C22—54no—
628C22—102no—
629C22—102no—
630C22—102no—
631C22—102no—
632C22—102no—
633C22—102no—
634C22—154no—
635C22—302no—
636C22—302no—
637C22—302no—
638C22—302no—
639C22—302no—
640C22—302no—
641C22C2×#677111yescharacteristic
642C22C2×C4×D3×D511yescharacteristic
643C22D3×D4×D511yescharacteristic
644C22#9202611yescharacteristic
645C22#9203011yescharacteristic
646C22D3×Q8×D511yescharacteristic
647C22C22×#120211yescharacteristic
648C4—24no—
649C4—34no—
650C4—62no—
651C4—102no—
652C4—122no—
653C4—202no—
654C4—302no—
655C4—602no—
656C4C4×#120214yescomplemented
657C3C4⋊C4×D2011yescharacteristic, complemented, Sylow
658C2—104no—
659C2—304no—
660C2#1175366811yescharacteristic
661C2#1175367711yescharacteristic
662C2#1175371211yescharacteristic
663C2D3×D5×C4⋊C411yescharacteristic
664C2C2×C4×#120211yescharacteristic
665C2D4×#120211yescharacteristic
666C2Q8×#120211yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC22×C3×C5C23×C4
FittingC2×C3×C5×C4⋊C4C22
socle, cosocleC23×C3×C5C24
prime radicalC22×#1202C22
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
2. C2×C3×D5×C4⋊C4C2semidirect
5. C5×Dic3×C4⋊C4C2semidirect
6. #11748861C2semidirect
7. #11748820C2semidirect
8. #11748799C2semidirect
9. #11748759C2semidirect
10. #11748729C2semidirect
11. #11748704C2semidirect
36. C4×#1202C4semidirect
42. C2×D5×C4⋊C4D3semidirect
63. C2×C4×D15C2×C4semidirect
74. C2×C3×C4×D5C2×C4semidirect
78. C3×C5×C4⋊C4D4semidirect
83. C4×C5×Dic3C2×C4semidirect
88. Dic3⋊Dic5C2×C4semidirect
90. #6667C2×C4semidirect
92. #6665C2×C4semidirect
103. Dic3×C4⋊C4D5semidirect
178. #1202C4⋊C4direct (N × H)
231. C2×C4×D5C4×D3semidirect
233. C5×C4⋊C4#67semidirect
271. C2×D15C2×C4⋊C4semidirect
278. C2×C3×D5C2×C4⋊C4semidirect
280. C3×C4×C5C4×D4semidirect
287. C5×Dic3C2×C4⋊C4semidirect
316. C3×C4⋊C4D20semidirect
328. C4×Dic3C4×D5semidirect
479. C2×D5D3×C4⋊C4semidirect
484. C4×C5C4×#67semidirect
523. C4⋊C4#1202direct (N × H)
530. C3×C5D4×C4⋊C4semidirect
555. C3×C4C4×D20semidirect
560. Dic3D5×C4⋊C4semidirect
626. C5C4⋊C4×#67semidirect
656. C4C4×#1202semidirect
657. C3C4⋊C4×D20semidirect

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×C3×D5×C4⋊C42
C2×C4×#12022
C5×Dic3×C4⋊C42
#117488612
#117488202
#117487992
#117487592
#117487292
#117487042
C4⋊C4×D203
C4⋊C4×#675