Finite Group Databasebeta

← #14326188

Subgroups — #14326188

Order 1920.

1744 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#6773C211yesmaximal, characteristic
2C2×C4×C5×Dic6C211yesmaximal, characteristic, complemented
3C2×Dic5×Dic6C211yesmaximal, characteristic, complemented
4#11751040C211yesmaximal, characteristic, complemented
5C3×C4×#685C211yesmaximal, characteristic, complemented
6#11748913C212yesmaximal, complemented
7#11748912C212yesmaximal, complemented
8#11748882C212yesmaximal, complemented
9#11748881C212yesmaximal, complemented
10#11748768C211yesmaximal, characteristic, complemented
11#11748759C211yesmaximal, characteristic, complemented
12#10614188—31nomaximal, Hall
13C22×D60C2211yescharacteristic
14C22×C5×Dic6C2211yescharacteristic
15C22×C3×C4×D5C2211yescharacteristic
16C22×#1202C2212yes—
17C22×#1200C2212yes—
18C2×#6773—24no—
19C2×#6773—24no—
20C2×#6773C418yescomplemented
21C2×C3×C42×C5C2211yescharacteristic
22C2×#6714C2212yes—
23C2×#6714C2212yes—
24C2×C4⋊Dic15C2211yescharacteristic
25C2×C5×C4⋊Dic3C2211yescharacteristic
26C2×C5×Dic3⋊C4C2212yes—
27C2×C4×C5×Dic3C2212yes—
28C4×C5×Dic6—24no—
29C2×C3×#685C2211yescharacteristic
30C2×C3×#685C2211yescharacteristic
31C2×C3×C4×Dic5C2211yescharacteristic
32C2×Dic3⋊Dic5C2212yes—
33C2×#6667C2212yes—
34C2×#6667C2212yes—
35C2×#6665C2212yes—
36C2×Dic3×Dic5C2212yes—
37Dic5×Dic6—24no—
38C3×#3963C2211yescharacteristic
39C3×#3963C2211yescharacteristic
40#90994C2212yes—
41#73454—51nomaximal, Hall
42C22×#713—31no—
43C2×C4×C5×Q8—31no—
44C2×Q8×Dic5—31no—
45#65277—32no—
46#65277—31no—
47#65276—32no—
48#65276—31no—
49#65228—32no—
50#65228—31no—
51C4×#685—32no—
52C4×#685D311yescharacteristic, complemented
53C23×D15C2312yes—
54C23×C3×D5C2311yescharacteristic
55C22×C3×C4×C5C2311yescharacteristic
56C22×C3×C4×C5C2311yescharacteristic
57C22×C3×C4×C5C2311yescharacteristic
58C22×Dic15C2312yes—
59C2×D60—22no—
60C2×D60—22no—
61C2×D60C2×C414yes—
62C22×C5×Dic3C2312yes—
63C22×C5×Dic3C2312yes—
64C2×C5×Dic6C2×C414yes—
65C2×C5×Dic6D414yes—
66C2×C5×Dic6D414yes—
67C22×C3×Dic5C2311yescharacteristic
68C22×C3×Dic5C2311yescharacteristic
69C22×C3×Dic5C2311yescharacteristic
70C2×C3×C4×D5—22no—
71C2×C3×C4×D5—22no—
72C2×C3×C4×D5C2×C414yes—
73C2×#1202—24no—
74C2×#1202—24no—
75C2×#1202C2×C418yes—
76C2×#1200—24no—
77C2×#1200—24no—
78C2×#1200C2×C418yes—
79#6773—232no—
80C3×C42×C5—22no—
81#6714—24no—
82#6714—42no—
83C4⋊Dic15—22no—
84C5×C4⋊Dic3—22no—
85C5×Dic3⋊C4—24no—
86C4×C5×Dic3—24no—
87C3×#685—22no—
88C3×#685—22no—
89C3×C4×Dic5—22no—
90Dic3⋊Dic5—24no—
91#6667—24no—
92#6667—42no—
93#6665—42no—
94Dic3×Dic5—24no—
95C22×#235—51no—
96C2×C4×Dic6—51no—
97C2×C4×Dic6D511yescharacteristic, complemented
98C3×C4×C22⋊C4—51no—
99#5212—51no—
100#4957—52no—
101#4957—52no—
102#4939—51no—
103#4939—51no—
104#4667—52no—
105#4666—52no—
106C22×C5×Q8—31no—
107C2×#713—38no—
108C2×#713—64no—
109C2×#713—64no—
110C22×D20—32no—
111C22×D20—31no—
112C22×C4×D5—32no—
113C22×C4×D5C2×D311yescharacteristic
114C4×C5×Q8—64no—
115C2×C5×C4⋊C4—32no—
116C2×C5×C4⋊C4—31no—
117C2×C42×C5—32no—
118C2×C42×C5C2×D311yescharacteristic
119Q8×Dic5—64no—
120C2×#685—32no—
121C2×#685—32no—
122C2×#685—32no—
123C2×#685—32no—
124C2×#685—32no—
125C2×#685C2×D311yescharacteristic
126C2×#685C2×D311yescharacteristic
127C2×C4⋊Dic5—31no—
128C2×C4⋊Dic5—32no—
129C2×C4×Dic5—32no—
130C2×C4×Dic5C2×D311yescharacteristic
131#3963—32no—
132#3963C2×D311yescharacteristic
133#3963C2×D311yescharacteristic
134#2341—151noSylow
135C23×C3×C5C2411yescharacteristic
136C22×D15—22no—
137C22×D15—22no—
138C22×D15—22no—
139C22×D15—22no—
140C22×D15—22no—
141C22×D15—22no—
142C22×D15C22×C414yes—
143C22×C3×D5—21no—
144C22×C3×D5—21no—
145C22×C3×D5—21no—
146C22×C3×D5—21no—
147C22×C3×D5—21no—
148C22×C3×D5—21no—
149C22×C3×D5C22×C412yes—
150C2×C3×C4×C5—21no—
151C2×C3×C4×C5—21no—
152C2×C3×C4×C5—21no—
153C2×C3×C4×C5—21no—
154C2×C3×C4×C5—21no—
155C2×C3×C4×C5C22×C412yes—
156C2×C3×C4×C5C2×D412yes—
157C2×C3×C4×C5C2×D412yes—
158C2×C3×C4×C5#4112yescomplemented
159C2×Dic15—22no—
160C2×Dic15—22no—
161C2×Dic15—22no—
162D60—28no—
163C2×C5×Dic3—22no—
164C2×C5×Dic3—22no—
165C2×C5×Dic3—22no—
166C2×C5×Dic3C22×C414yes—
167C2×C5×Dic3C2×D414yes—
168C2×C5×Dic3C2×D414yes—
169C5×Dic6C22⋊C4116yescomplemented
170C2×C3×Dic5—21no—
171C2×C3×Dic5—21no—
172C2×C3×Dic5—21no—
173C2×C3×Dic5—21no—
174C2×C3×Dic5—21no—
175C2×C3×Dic5—21no—
176C2×C3×Dic5—21no—
177C2×C3×Dic5C22×C412yes—
178C2×C3×Dic5#4112yescomplemented
179C3×C4×D5—28no—
180#1202—216no—
181#1200—216no—
182C23×C3×C4—51no—
183C22×#67—52no—
184C2×#235—58no—
185C2×#235—104no—
186C2×#235—104no—
187C22×D12—51no—
188C22×C4×D3—52no—
189C22×Dic6C2×D511yescharacteristic
190C2×C3×C22⋊C4—51no—
191C2×C3×C22⋊C4—51no—
192C2×C3×C42—51no—
193C2×C3×C42C2×D511yescharacteristic
194C2×#217—52no—
195C2×(C2×D3)⋊C4—52no—
196C2×(C2×D3)⋊C4—52no—
197C2×(C2×D3)⋊C4—52no—
198C2×(C2×D3)⋊C4—52no—
199C2×C4⋊Dic3—51no—
200C2×C4⋊Dic3C2×D511yescharacteristic
201C2×Dic3⋊C4—52no—
202C2×Dic3⋊C4C2×D512yes—
203C2×C4×Dic3—52no—
204C2×C4×Dic3C2×D512yes—
205C4×Dic6—24no—
206C4×Dic6—104no—
207C3×#95—51no—
208C3×#95—51no—
209C3⋊#95—52no—
210C23×D5—32no—
211C23×D5C22×D311yescharacteristic
212C2×C5×Q8—34no—
213C2×C5×Q8—34no—
214C2×C5×Q8—34no—
215C22×C4×C5—32no—
216C22×C4×C5—32no—
217C22×C4×C5C22×D311yescharacteristic
218C22×C4×C5C22×D311yescharacteristic
219C22×C4×C5C22×D311yescharacteristic
220C22×Dic5—32no—
221C22×Dic5C22×D311yescharacteristic
222C22×Dic5C22×D311yescharacteristic
223C22×Dic5C22×D311yescharacteristic
224#713—632no—
225C2×D20—38no—
226C2×D20—34no—
227C2×D20—64no—
228C2×D20—64no—
229C2×D20—62no—
230C2×D20—62no—
231C2×C4×D5—22no—
232C2×C4×D5—22no—
233C2×C4×D5—38no—
234C2×C4×D5—64no—
235C2×C4×D5—64no—
236C2×C4×D5C4×D314yes—
237C5×C4⋊C4—64no—
238C5×C4⋊C4—62no—
239C42×C5—22no—
240C42×C5—64no—
241#685—22no—
242#685—22no—
243#685—64no—
244#685—64no—
245#685—122no—
246#685—122no—
247#685—122no—
248C4⋊Dic5—64no—
249C4⋊Dic5—62no—
250C4×Dic5—22no—
251C4×Dic5—64no—
252C22×#41—151no—
253C2×C4×Q8—31no—
254C2×C4×Q8—151no—
255#390—152no—
256#390—151no—
257#390—152no—
258#390—151no—
259#380—152no—
260#380—151no—
261C4×C22⋊C4—51no—
262C4×C22⋊C4—152no—
263C22×C3×C5C23×C411yescharacteristic
264C22×C3×C5C22×D411yescharacteristic
265C22×C3×C5C22×D411yescharacteristic
266C22×C3×C5C2×#4111yescharacteristic
267C22×C3×C5C2×#4111yescharacteristic
268C22×C3×C5H(5,𝔽2)11yescharacteristic
269C22×C3×C52−1+411yescharacteristic
270C2×D15—24no—
271C2×D15—24no—
272C2×D15—24no—
273C2×D15—42no—
274C2×D15—42no—
275C2×D15—42no—
276C2×D15—42no—
277C2×C3×D5—22no—
278C2×C3×D5—22no—
279C2×C3×D5—22no—
280C2×C3×D5—41no—
281C2×C3×D5—41no—
282C2×C3×D5—41no—
283C2×C3×D5—41no—
284C3×C4×C5—22no—
285C3×C4×C5—41no—
286C3×C4×C5C2×C22⋊C414yes—
287Dic15—42no—
288C3×Dic5—22no—
289C3×Dic5—22no—
290C3×Dic5—41no—
291C5×Dic3—42no—
292C5×Dic3C2×C22⋊C418yes—
293C24×C3—51no—
294C23×D3—52no—
295C22×C3×C4—51no—
296C22×C3×C4—51no—
297C22×C3×C4—54no—
298C22×C3×C4—51no—
299C22×C3×C4—102no—
300C22×C3×C4—102no—
301C22×C3×C4C22×D511yescharacteristic
302C22×C3×C4C22×D511yescharacteristic
303C22×C3×C4C22×D511yescharacteristic
304C2×#67—58no—
305C2×#67—104no—
306C2×#67—104no—
307C22×Dic3—52no—
308C22×Dic3C22×D512yes—
309C22×Dic3C22×D512yes—
310#235—1032no—
311C2×D12—54no—
312C2×D12—102no—
313C2×D12—102no—
314C2×C4×D3—58no—
315C2×C4×D3—104no—
316C2×C4×D3—104no—
317C2×Dic6C4×D514yes—
318C2×Dic6D2014yes—
319C2×Dic6C22⋊D514yes—
320C3×C22⋊C4—102no—
321C3×C22⋊C4—102no—
322C3×C42—22no—
323C3×C42—102no—
324#217—202no—
325(C2×D3)⋊C4—104no—
326(C2×D3)⋊C4—104no—
327(C2×D3)⋊C4—202no—
328(C2×D3)⋊C4—202no—
329C4⋊Dic3—22no—
330C4⋊Dic3—102no—
331Dic3⋊C4—24no—
332Dic3⋊C4—104no—
333C4×Dic3—24no—
334C4×Dic3—104no—
335C23×C5C23×D311yescharacteristic
336C22×D5—21no—
337C22×D5—21no—
338C22×D5—21no—
339C22×D5—21no—
340C22×D5—21no—
341C22×D5—21no—
342C22×D5—34no—
343C22×D5—62no—
344C22×D5—62no—
345C22×D5—62no—
346C22×D5—62no—
347C22×D5—62no—
348C22×D5—62no—
349C22×D5C2×C4×D312yes—
350C5×Q8—316no—
351C2×C4×C5—21no—
352C2×C4×C5—21no—
353C2×C4×C5—21no—
354C2×C4×C5—21no—
355C2×C4×C5—21no—
356C2×C4×C5—34no—
357C2×C4×C5—34no—
358C2×C4×C5—34no—
359C2×C4×C5—62no—
360C2×C4×C5—62no—
361C2×C4×C5—62no—
362C2×C4×C5C2×C4×D312yes—
363C2×C4×C5#23512yescomplemented
364C2×C4×C5D3×D412yes—
365C2×C4×C5D3×D412yes—
366C2×Dic5—21no—
367C2×Dic5—21no—
368C2×Dic5—21no—
369C2×Dic5—21no—
370C2×Dic5—21no—
371C2×Dic5—21no—
372C2×Dic5—21no—
373C2×Dic5—62no—
374C2×Dic5—62no—
375C2×Dic5—62no—
376C2×Dic5C2×C4×D312yes—
377C2×Dic5#23512yescomplemented
378D20—616no—
379D20—68no—
380C4×D5—28no—
381C4×D5—616no—
382C2×#41—158no—
383C2×#41—304no—
384C2×#41—304no—
385C22×Q8—31no—
386C22×D4—152no—
387C22×D4—151no—
388C23×C4—51no—
389C23×C4—152no—
390C4×Q8—64no—
391C4×Q8—304no—
392C2×C4⋊C4—32no—
393C2×C4⋊C4—31no—
394C2×C4⋊C4—152no—
395C2×C4⋊C4—151no—
396C2×C22⋊C4—51no—
397C2×C22⋊C4—51no—
398C2×C22⋊C4—152no—
399C2×C22⋊C4—152no—
400C2×C22⋊C4—152no—
401C2×C22⋊C4—152no—
402C2×C22⋊C4—152no—
403C2×C42—32no—
404C2×C42—51no—
405C2×C42—152no—
406C2×C42D3×D511yescharacteristic
407#95—51no—
408#95—51no—
409#95—152no—
410C2×C3×C5C22×C22⋊C411yescharacteristic
411C2×C3×C5C4×#4111yescharacteristic
412C2×C3×C5#52011yescharacteristic
413C2×C3×C5#54811yescharacteristic
414C2×C3×C5#54811yescharacteristic
415C2×C3×C5#55011yescharacteristic
416C2×C3×C5#55011yescharacteristic
417D15—44no—
418C3×D5—42no—
419C23×C3—52no—
420C23×C3—101no—
421C23×C3—101no—
422C23×C3—101no—
423C23×C3—101no—
424C23×C3—101no—
425C23×C3—101no—
426C23×C3C23×D511yescharacteristic
427C22×D3—54no—
428C22×D3—102no—
429C22×D3—102no—
430C22×D3—102no—
431C22×D3—102no—
432C22×D3—102no—
433C22×D3—102no—
434C2×C3×C4—21no—
435C2×C3×C4—21no—
436C2×C3×C4—21no—
437C2×C3×C4—21no—
438C2×C3×C4—21no—
439C2×C3×C4—52no—
440C2×C3×C4—52no—
441C2×C3×C4—101no—
442C2×C3×C4—101no—
443C2×C3×C4—101no—
444C2×C3×C4—101no—
445C2×C3×C4—108no—
446C2×C3×C4—101no—
447C2×C3×C4—101no—
448C2×C3×C4—101no—
449C2×C3×C4C2×C4×D512yes—
450C2×C3×C4C2×D2012yes—
451C2×C3×C4#71312yescomplemented
452C2×C3×C4C2×C22⋊D512yes—
453#67—1016no—
454C2×Dic3—22no—
455C2×Dic3—22no—
456C2×Dic3—22no—
457C2×Dic3—102no—
458C2×Dic3—102no—
459C2×Dic3—102no—
460C2×Dic3C2×C4×D514yes—
461C2×Dic3C2×D2014yes—
462C2×Dic3C2×C22⋊D514yes—
463D12—108no—
464C4×D3—1016no—
465Dic6#685116yescomplemented
466C22×C5C22×C4×D311yescharacteristic
467C22×C5C2×#23511yescharacteristic
468C22×C5C2×#23511yescharacteristic
469C22×C5C2×D3×D411yescharacteristic
470C22×C5C2×D3×D411yescharacteristic
471C22×C5#100911yescharacteristic
472C22×C5#101011yescharacteristic
473C2×D5—22no—
474C2×D5—22no—
475C2×D5—22no—
476C2×D5—41no—
477C2×D5—41no—
478C2×D5—41no—
479C2×D5—41no—
480C2×D5—64no—
481C2×D5—64no—
482C2×D5—64no—
483C2×D5—122no—
484C2×D5—122no—
485C2×D5—122no—
486C2×D5—122no—
487C4×C5—22no—
488C4×C5—38no—
489C4×C5—41no—
490C4×C5—122no—
491C4×C5D3×C22⋊C414yes—
492Dic5—22no—
493Dic5—22no—
494Dic5—41no—
495Dic5—122no—
496C24—51no—
497C24—152no—
498#41—3032no—
499C2×Q8—34no—
500C2×Q8—34no—
501C2×Q8—34no—
502C2×D4—158no—
503C2×D4—154no—
504C2×D4—304no—
505C2×D4—304no—
506C2×D4—302no—
507C2×D4—302no—
508C22×C4—32no—
509C22×C4—32no—
510C22×C4—51no—
511C22×C4—51no—
512C22×C4—54no—
513C22×C4—51no—
514C22×C4—102no—
515C22×C4—102no—
516C22×C4—158no—
517C22×C4—152no—
518C22×C4—304no—
519C22×C4—304no—
520C22×C4C2×D3×D511yescharacteristic
521C22×C4C2×D3×D511yescharacteristic
522C22×C4C2×D3×D511yescharacteristic
523C4⋊C4—64no—
524C4⋊C4—62no—
525C4⋊C4—304no—
526C4⋊C4—302no—
527C22⋊C4—102no—
528C22⋊C4—102no—
529C22⋊C4—304no—
530C22⋊C4—304no—
531C22⋊C4—602no—
532C22⋊C4—602no—
533C22⋊C4—602no—
534C42—22no—
535C42—64no—
536C42—102no—
537C42—304no—
538C3×C5#234111yescharacteristic, complemented, Hall
539C22×C3—102no—
540C22×C3—102no—
541C22×C3—102no—
542C22×C3—201no—
543C22×C3—201no—
544C22×C3—201no—
545C22×C3—201no—
546C22×C3C22×C4×D511yescharacteristic
547C22×C3C22×D2011yescharacteristic
548C22×C3C2×#71311yescharacteristic
549C22×C3#414711yescharacteristic
550C22×C3D5×#4111yescharacteristic
551C22×C3#414911yescharacteristic
552C22×C3C22×C22⋊D511yescharacteristic
553C2×D3—104no—
554C2×D3—104no—
555C2×D3—104no—
556C2×D3—202no—
557C2×D3—202no—
558C2×D3—202no—
559C2×D3—202no—
560C3×C4—22no—
561C3×C4—41no—
562C3×C4—102no—
563C3×C4—102no—
564C3×C4—201no—
565C3×C4C2×#68514yes—
566Dic3—42no—
567Dic3—202no—
568Dic3C2×#68518yes—
569C2×C5C4×#23511yescharacteristic
570C2×C5C2×D3×C22⋊C411yescharacteristic
571C2×C5#552311yescharacteristic
572C2×C5#555211yescharacteristic
573C2×C5#555211yescharacteristic
574C2×C5#555311yescharacteristic
575C2×C5#555311yescharacteristic
576D5—42no—
577D5—124no—
578C23—52no—
579C23—101no—
580C23—101no—
581C23—101no—
582C23—101no—
583C23—101no—
584C23—101no—
585C23—154no—
586C23—302no—
587C23—302no—
588C23—302no—
589C23—302no—
590C23—302no—
591C23—302no—
592C23C22×D3×D511yescharacteristic
593Q8—316no—
594D4—3016no—
595D4—308no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—34no—
602C2×C4—34no—
603C2×C4—34no—
604C2×C4—52no—
605C2×C4—52no—
606C2×C4—62no—
607C2×C4—62no—
608C2×C4—62no—
609C2×C4—101no—
610C2×C4—101no—
611C2×C4—101no—
612C2×C4—101no—
613C2×C4—108no—
614C2×C4—101no—
615C2×C4—101no—
616C2×C4—101no—
617C2×C4—3016no—
618C2×C4—302no—
619C2×C4—302no—
620C2×C4—302no—
621C2×C4#677312yescomplemented
622C2×C4C4×D3×D512yes—
623C2×C4D3×D2012yes—
624C2×C4D3×C22⋊D512yes—
625C2×C3—202no—
626C2×C3C4×#71311yescharacteristic
627C2×C3#6590811yescharacteristic
628C2×C3#6591011yescharacteristic
629C2×C3#6591111yescharacteristic
630C2×C3C22×#68511yescharacteristic
631C2×C3#6615111yescharacteristic
632C2×C3#6616811yescharacteristic
633D3—204no—
634C5#7345411yescharacteristic, complemented, Sylow
635C22—102no—
636C22—102no—
637C22—102no—
638C22—201no—
639C22—201no—
640C22—201no—
641C22—201no—
642C22—304no—
643C22—304no—
644C22—304no—
645C22—602no—
646C22—602no—
647C22—602no—
648C22—602no—
649C22#9200011yescharacteristic
650C22C2×#677311yescharacteristic
651C22C2×C4×D3×D511yescharacteristic
652C22C2×D3×D2011yescharacteristic
653C22D5×#23511yescharacteristic
654C22#9201911yescharacteristic
655C22C2×D3×C22⋊D511yescharacteristic
656C4—22no—
657C4—38no—
658C4—41no—
659C4—102no—
660C4—102no—
661C4—122no—
662C4—201no—
663C4—602no—
664C4D3×#68514yes—
665C3#1061418811yescharacteristic, complemented, Sylow
666C2—202no—
667C2—604no—
668C2#1175252111yescharacteristic
669C2#1175254111yescharacteristic
670C2C4×#677311yescharacteristic
671C2#1175267711yescharacteristic
672C2#1175454411yescharacteristic
673C2#1175454511yescharacteristic
674C2C2×D3×#68511yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC22×C3×C5C23×C4
FittingC2×C3×C42×C5C22
socle, cosocleC23×C3×C5C24
prime radicalC22×#6773C2
hypercenterC2×C42D3×D5
hypocenterC3×C5#2341
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
2. C2×C4×C5×Dic6C2semidirect
3. C2×Dic5×Dic6C2semidirect
4. #11751040C2semidirect
5. C3×C4×#685C2semidirect
6. #11748913C2semidirect
7. #11748912C2semidirect
8. #11748882C2semidirect
9. #11748881C2semidirect
10. #11748768C2semidirect
11. #11748759C2semidirect
20. C2×#6773C4semidirect
52. C4×#685D3semidirect
97. C2×C4×Dic6D5semidirect
158. C2×C3×C4×C5#41semidirect
169. C5×Dic6C22⋊C4semidirect
178. C2×C3×Dic5#41semidirect
363. C2×C4×C5#235semidirect
377. C2×Dic5#235semidirect
451. C2×C3×C4#713semidirect
465. Dic6#685semidirect
538. C3×C5#2341semidirect
621. C2×C4#6773semidirect
634. C5#73454semidirect
665. C3#10614188semidirect

Maximal subgroups

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

subgroupindex
C22×#67732
C2×C4×C5×Dic62
C2×Dic5×Dic62
#117510402
C3×C4×#6852
#117489132
#117489122
#117488822
#117488812
#117487682
#117487592
#106141883
#734545