Finite Group Databasebeta

← #14326190

Subgroups — #14326190

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×#6772C211yesmaximal, characteristic
2C2×C4×Dic30C211yesmaximal, characteristic, complemented
3C2×#91333C211yesmaximal, characteristic, complemented
4C5×#4939C211yesmaximal, characteristic, complemented
5C3×C4×#685C211yesmaximal, characteristic, complemented
6#11748916C212yesmaximal, complemented
7#11748915C212yesmaximal, complemented
8#11748887C212yesmaximal, complemented
9#11748886C212yesmaximal, complemented
10#11748764C211yesmaximal, characteristic, complemented
11#11748759C211yesmaximal, characteristic, complemented
12#10608032—31nomaximal, Hall
13C22×Dic30C2211yescharacteristic
14C22×C5×D12C2211yescharacteristic
15C22×C3×C4×D5C2211yescharacteristic
16C22×#1201C2212yes—
17C22×D3×Dic5C2212yes—
18C2×#6772—24no—
19C2×#6772—24no—
20C2×#6772C418yescomplemented
21C2×C3×C42×C5C2211yescharacteristic
22C2×C4⋊Dic15C2211yescharacteristic
23C2×#6712C2212yes—
24C2×C4×Dic15C2212yes—
25C4×Dic30—24no—
26C2×C5×(C2×D3)⋊C4C2212yes—
27C2×C5×(C2×D3)⋊C4C2212yes—
28C2×C5×C4⋊Dic3C2211yescharacteristic
29C2×C3×#685C2211yescharacteristic
30C2×C3×#685C2211yescharacteristic
31C2×C3×C4×Dic5C2211yescharacteristic
32C2×#6669C2212yes—
33C2×(C2×D3)⋊Dic5C2212yes—
34C2×(C2×D3)⋊Dic5C2212yes—
35C2×#6665C2212yes—
36C2×Dic3×Dic5C2212yes—
37#91333—24no—
38C3×#3963C2211yescharacteristic
39C3×#3963C2211yescharacteristic
40#90994C2212yes—
41#73454—51nomaximal, Hall
42C22×#711—31no—
43C2×#4033—31no—
44C2×C4×Dic10—31no—
45C5×#390—31no—
46#65510—31no—
47#65276—31no—
48#65246—32no—
49#65246—32no—
50#65231—32no—
51C22⋊C4×Dic5—32no—
52C4×#685D311yescharacteristic, complemented
53C23×C5×D3C2312yes—
54C23×C3×D5C2311yescharacteristic
55C22×C3×C4×C5C2311yescharacteristic
56C22×C3×C4×C5C2311yescharacteristic
57C22×C3×C4×C5C2311yescharacteristic
58C22×Dic15C2312yes—
59C22×Dic15C2312yes—
60C2×Dic30C2×C414yes—
61C2×Dic30D414yes—
62C2×Dic30D414yes—
63C22×C5×Dic3C2312yes—
64C2×C5×D12—22no—
65C2×C5×D12—22no—
66C2×C5×D12C2×C414yes—
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×#1201—24no—
74C2×#1201—24no—
75C2×#1201C2×C418yes—
76C2×D3×Dic5—24no—
77C2×D3×Dic5—24no—
78C2×D3×Dic5C2×C418yes—
79#6772—232no—
80C3×C42×C5—22no—
81C4⋊Dic15—22no—
82#6712—24no—
83C4×Dic15—24no—
84C5×(C2×D3)⋊C4—24no—
85C5×(C2×D3)⋊C4—42no—
86C5×C4⋊Dic3—22no—
87C3×#685—22no—
88C3×#685—22no—
89C3×C4×Dic5—22no—
90#6669—24no—
91(C2×D3)⋊Dic5—24no—
92(C2×D3)⋊Dic5—42no—
93#6665—42no—
94Dic3×Dic5—24no—
95C22×#235—51no—
96C2×C4×Dic6—51no—
97C2×C4×Dic6—51no—
98C3×C4×C22⋊C4—51no—
99#5212—51no—
100#4957—52no—
101#4957—52no—
102#4939—51no—
103#4939D511yescharacteristic, complemented
104#4667—52no—
105#4666—52no—
106C22×C5×D4—31no—
107C22×C22⋊D5—32no—
108C23×Dic5—32no—
109C2×#711—38no—
110C2×#711—64no—
111C2×#711—64no—
112C22×C4×D5C2×D311yescharacteristic
113C22×Dic10—31no—
114C2×C5×C4⋊C4—31no—
115C2×C5×C22⋊C4—32no—
116C2×C5×C22⋊C4—32no—
117C2×C42×C5C2×D311yescharacteristic
118C2×C22⋊Dic5—32no—
119C2×C22⋊Dic5—32no—
120C2×#685—32no—
121C2×#685C2×D311yescharacteristic
122C2×#685C2×D311yescharacteristic
123C2×C4⋊Dic5—31no—
124C2×#683—32no—
125C2×#683—32no—
126C2×C4×Dic5—32no—
127C2×C4×Dic5—32no—
128C2×C4×Dic5C2×D311yescharacteristic
129#4033—64no—
130C4×Dic10—64no—
131#3963—32no—
132#3963C2×D311yescharacteristic
133#3963C2×D311yescharacteristic
134#2341—151noSylow
135C23×C3×C5C2411yescharacteristic
136C22×C5×D3—22no—
137C22×C5×D3—22no—
138C22×C5×D3—22no—
139C22×C5×D3—22no—
140C22×C5×D3—22no—
141C22×C5×D3—22no—
142C22×C5×D3C22×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—
162C2×Dic15C22×C414yes—
163C2×Dic15C2×D414yes—
164C2×Dic15C2×D414yes—
165Dic30C22⋊C4116yescomplemented
166C2×C5×Dic3—22no—
167C2×C5×Dic3—22no—
168C2×C5×Dic3—22no—
169C5×D12—28no—
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#1201—216no—
181D3×Dic5—216no—
182C23×C3×C4—51no—
183C22×#67—52no—
184C2×#235—58no—
185C2×#235—104no—
186C2×#235—104no—
187C22×D12C2×D511yescharacteristic
188C22×C4×D3—52no—
189C22×Dic6—51no—
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)⋊C4C2×D512yes—
198C2×(C2×D3)⋊C4C2×D512yes—
199C2×C4⋊Dic3—51no—
200C2×C4⋊Dic3C2×D511yescharacteristic
201C2×Dic3⋊C4—52no—
202C2×Dic3⋊C4—52no—
203C2×C4×Dic3—52no—
204C2×C4×Dic3—52no—
205C4×Dic6—104no—
206C4×Dic6—104no—
207C3×#95—51no—
208C3×#95—51no—
209C3⋊#95—52no—
210C24×C5—32no—
211C23×D5C22×D311yescharacteristic
212C2×C5×D4—34no—
213C2×C5×D4—62no—
214C2×C5×D4—62no—
215C22×C4×C5—32no—
216C22×C4×C5C22×D311yescharacteristic
217C22×C4×C5C22×D311yescharacteristic
218C22×C4×C5C22×D311yescharacteristic
219C2×C22⋊D5—38no—
220C2×C22⋊D5—64no—
221C2×C22⋊D5—64no—
222C22×Dic5—32no—
223C22×Dic5—38no—
224C22×Dic5—32no—
225C22×Dic5—64no—
226C22×Dic5—64no—
227C22×Dic5C22×D311yescharacteristic
228C22×Dic5C22×D311yescharacteristic
229C22×Dic5C22×D311yescharacteristic
230#711—632no—
231C2×C4×D5—22no—
232C2×C4×D5—22no—
233C2×C4×D5C4×D314yes—
234C2×Dic10—34no—
235C2×Dic10—34no—
236C2×Dic10—34no—
237C5×C4⋊C4—62no—
238C5×C22⋊C4—64no—
239C5×C22⋊C4—122no—
240C42×C5—22no—
241C22⋊Dic5—64no—
242C22⋊Dic5—122no—
243#685—22no—
244#685—22no—
245#685—122no—
246C4⋊Dic5—62no—
247#683—64no—
248#683—64no—
249C4×Dic5—22no—
250C4×Dic5—64no—
251C4×Dic5—64no—
252C22×#41—151no—
253C2×C4×Q8—151no—
254C2×C4×Q8—151no—
255#390—31no—
256#390—151no—
257#390—152no—
258#390—152no—
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×C5×D3—24no—
271C2×C5×D3—24no—
272C2×C5×D3—24no—
273C2×C5×D3—42no—
274C2×C5×D3—42no—
275C2×C5×D3—42no—
276C2×C5×D3—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—
288Dic15C2×C22⋊C418yes—
289C3×Dic5—22no—
290C3×Dic5—22no—
291C3×Dic5—41no—
292C5×Dic3—42no—
293C24×C3—51no—
294C23×D3C22×D512yes—
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×Dic3—52no—
309C22×Dic3C22×D512yes—
310#235—1032no—
311C2×D12—22no—
312C2×D12—22no—
313C2×D12C4×D514yes—
314C2×C4×D3—58no—
315C2×C4×D3—104no—
316C2×C4×D3—104no—
317C2×Dic6—54no—
318C2×Dic6—54no—
319C2×Dic6—54no—
320C3×C22⋊C4—102no—
321C3×C22⋊C4—102no—
322C3×C42—22no—
323C3×C42—102no—
324#217—202no—
325(C2×D3)⋊C4—24no—
326(C2×D3)⋊C4—42no—
327(C2×D3)⋊C4—104no—
328(C2×D3)⋊C4—202no—
329C4⋊Dic3—22no—
330C4⋊Dic3—102no—
331Dic3⋊C4—104no—
332Dic3⋊C4—104no—
333C4×Dic3—104no—
334C4×Dic3—104no—
335C23×C5—34no—
336C23×C5—62no—
337C23×C5—62no—
338C23×C5—62no—
339C23×C5—62no—
340C23×C5—62no—
341C23×C5—62no—
342C23×C5C23×D311yescharacteristic
343C22×D5—21no—
344C22×D5—21no—
345C22×D5—21no—
346C22×D5—21no—
347C22×D5—21no—
348C22×D5—21no—
349C22×D5C2×C4×D312yes—
350C5×D4—68no—
351C2×C4×C5—21no—
352C2×C4×C5—21no—
353C2×C4×C5—21no—
354C2×C4×C5—21no—
355C2×C4×C5—21no—
356C2×C4×C5—62no—
357C2×C4×C5—62no—
358C2×C4×C5—62no—
359C2×C4×C5C2×C4×D312yes—
360C2×C4×C5#23512yescomplemented
361C2×C4×C5D3×D412yes—
362C2×C4×C5D3×D412yes—
363C22⋊D5—616no—
364C2×Dic5—21no—
365C2×Dic5—21no—
366C2×Dic5—21no—
367C2×Dic5—21no—
368C2×Dic5—21no—
369C2×Dic5—21no—
370C2×Dic5—21no—
371C2×Dic5—34no—
372C2×Dic5—34no—
373C2×Dic5—34no—
374C2×Dic5—616no—
375C2×Dic5—62no—
376C2×Dic5—62no—
377C2×Dic5—62no—
378C2×Dic5C2×C4×D312yes—
379C2×Dic5#23512yescomplemented
380C4×D5—28no—
381Dic10—316no—
382C2×#41—158no—
383C2×#41—304no—
384C2×#41—304no—
385C22×Q8—151no—
386C22×D4—31no—
387C22×D4—152no—
388C23×C4—51no—
389C23×C4—152no—
390C4×Q8—304no—
391C4×Q8—304no—
392C2×C4⋊C4—31no—
393C2×C4⋊C4—152no—
394C2×C4⋊C4—152no—
395C2×C4⋊C4—151no—
396C2×C22⋊C4—32no—
397C2×C22⋊C4—32no—
398C2×C22⋊C4—51no—
399C2×C22⋊C4—51no—
400C2×C22⋊C4—152no—
401C2×C22⋊C4—152no—
402C2×C22⋊C4—152no—
403C2×C42—51no—
404C2×C42—152no—
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
417C3×D5—42no—
418C5×D3—44no—
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—22no—
428C22×D3—22no—
429C22×D3—22no—
430C22×D3—22no—
431C22×D3—22no—
432C22×D3—22no—
433C22×D3C2×C4×D514yes—
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×C4D4×D512yes—
451C2×C3×C4D4×D512yes—
452C2×C3×C4#71112yescomplemented
453#67—1016no—
454C2×Dic3—22no—
455C2×Dic3—22no—
456C2×Dic3—22no—
457C2×Dic3—54no—
458C2×Dic3—54no—
459C2×Dic3—54no—
460C2×Dic3—102no—
461C2×Dic3—102no—
462C2×Dic3—102no—
463D12—28no—
464C4×D3—1016no—
465Dic6—516no—
466C22×C5—64no—
467C22×C5—64no—
468C22×C5—64no—
469C22×C5—122no—
470C22×C5—122no—
471C22×C5—122no—
472C22×C5—122no—
473C22×C5C22×C4×D311yescharacteristic
474C22×C5C2×#23511yescharacteristic
475C22×C5C2×#23511yescharacteristic
476C22×C5C2×D3×D411yescharacteristic
477C22×C5C2×D3×D411yescharacteristic
478C22×C5#100911yescharacteristic
479C22×C5#101011yescharacteristic
480C2×D5—22no—
481C2×D5—22no—
482C2×D5—22no—
483C2×D5—41no—
484C2×D5—41no—
485C2×D5—41no—
486C2×D5—41no—
487C4×C5—22no—
488C4×C5—41no—
489C4×C5—122no—
490C4×C5D3×C22⋊C414yes—
491Dic5—22no—
492Dic5—22no—
493Dic5—38no—
494Dic5—41no—
495Dic5—122no—
496C24—32no—
497C24—51no—
498#41—3032no—
499C2×Q8—154no—
500C2×Q8—154no—
501C2×Q8—154no—
502C2×D4—34no—
503C2×D4—62no—
504C2×D4—62no—
505C2×D4—158no—
506C2×D4—304no—
507C2×D4—304no—
508C22×C4—32no—
509C22×C4—51no—
510C22×C4—51no—
511C22×C4—54no—
512C22×C4—51no—
513C22×C4—102no—
514C22×C4—102no—
515C22×C4—158no—
516C22×C4—152no—
517C22×C4—152no—
518C22×C4—304no—
519C22×C4—304no—
520C22×C4C2×D3×D511yescharacteristic
521C22×C4C2×D3×D511yescharacteristic
522C22×C4C2×D3×D511yescharacteristic
523C4⋊C4—62no—
524C4⋊C4—304no—
525C4⋊C4—304no—
526C4⋊C4—302no—
527C22⋊C4—64no—
528C22⋊C4—102no—
529C22⋊C4—102no—
530C22⋊C4—122no—
531C22⋊C4—304no—
532C22⋊C4—602no—
533C22⋊C4—602no—
534C42—22no—
535C42—102no—
536C42—304no—
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×C3C2×D4×D511yescharacteristic
548C22×C3C2×D4×D511yescharacteristic
549C22×C3C2×#71111yescharacteristic
550C22×C3#414411yescharacteristic
551C22×C3D5×#4111yescharacteristic
552C22×C3#415011yescharacteristic
553C2×D3—24no—
554C2×D3—24no—
555C2×D3—24no—
556C2×D3—42no—
557C2×D3—42no—
558C2×D3—42no—
559C2×D3—42no—
560C3×C4—22no—
561C3×C4—41no—
562C3×C4—102no—
563C3×C4—102no—
564C3×C4—201no—
565C3×C4D5×C22⋊C414yes—
566Dic3—42no—
567Dic3—58no—
568Dic3—202no—
569C2×C5—124no—
570C2×C5C4×#23511yescharacteristic
571C2×C5C2×D3×C22⋊C411yescharacteristic
572C2×C5#552311yescharacteristic
573C2×C5#555211yescharacteristic
574C2×C5#555211yescharacteristic
575C2×C5#555311yescharacteristic
576C2×C5#555311yescharacteristic
577D5—42no—
578C23—34no—
579C23—52no—
580C23—62no—
581C23—62no—
582C23—62no—
583C23—62no—
584C23—62no—
585C23—62no—
586C23—101no—
587C23—101no—
588C23—101no—
589C23—101no—
590C23—101no—
591C23—101no—
592C23C22×D3×D511yescharacteristic
593Q8—1516no—
594D4—68no—
595D4—3016no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—52no—
602C2×C4—52no—
603C2×C4—62no—
604C2×C4—62no—
605C2×C4—62no—
606C2×C4—101no—
607C2×C4—101no—
608C2×C4—101no—
609C2×C4—101no—
610C2×C4—108no—
611C2×C4—101no—
612C2×C4—101no—
613C2×C4—101no—
614C2×C4—154no—
615C2×C4—154no—
616C2×C4—154no—
617C2×C4—3016no—
618C2×C4—302no—
619C2×C4—302no—
620C2×C4—302no—
621C2×C4#677212yescomplemented
622C2×C4C4×D3×D512yes—
623C2×C4#677712yes—
624C2×C4#679012yes—
625C2×C3—202no—
626C2×C3C2×D5×C22⋊C411yescharacteristic
627C2×C3C4×#71111yescharacteristic
628C2×C3#6588011yescharacteristic
629C2×C3#6593211yescharacteristic
630C2×C3#6593311yescharacteristic
631C2×C3#6601111yescharacteristic
632C2×C3#6605211yescharacteristic
633D3—44no—
634C5#7345411yescharacteristic, complemented, Sylow
635C22—64no—
636C22—64no—
637C22—64no—
638C22—102no—
639C22—102no—
640C22—102no—
641C22—122no—
642C22—122no—
643C22—122no—
644C22—122no—
645C22—201no—
646C22—201no—
647C22—201no—
648C22—201no—
649C22#9200111yescharacteristic
650C22C2×#677211yescharacteristic
651C22C2×C4×D3×D511yescharacteristic
652C22C2×#677711yescharacteristic
653C22D5×#23511yescharacteristic
654C22#9201811yescharacteristic
655C22C2×#679011yescharacteristic
656C4—22no—
657C4—41no—
658C4—102no—
659C4—102no—
660C4—122no—
661C4—158no—
662C4—201no—
663C4—602no—
664C4#9147314yes—
665C3#1060803211yescharacteristic, complemented, Sylow
666C2—124no—
667C2—202no—
668C2#1175255311yescharacteristic
669C2C4×#677211yescharacteristic
670C2#1175266911yescharacteristic
671C2#1175268011yescharacteristic
672C2#1175455611yescharacteristic
673C2#1175455711yescharacteristic
674C2C2×#9147311yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC22×C3×C5C23×C4
FittingC2×C3×C42×C5C22
socle, cosocleC23×C3×C5C24
prime radicalC22×#6772C2
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×Dic30C2semidirect
3. C2×#91333C2semidirect
4. C5×#4939C2semidirect
5. C3×C4×#685C2semidirect
6. #11748916C2semidirect
7. #11748915C2semidirect
8. #11748887C2semidirect
9. #11748886C2semidirect
10. #11748764C2semidirect
11. #11748759C2semidirect
20. C2×#6772C4semidirect
52. C4×#685D3semidirect
103. #4939D5semidirect
158. C2×C3×C4×C5#41semidirect
165. Dic30C22⋊C4semidirect
178. C2×C3×Dic5#41semidirect
360. C2×C4×C5#235semidirect
379. C2×Dic5#235semidirect
452. C2×C3×C4#711semidirect
538. C3×C5#2341semidirect
621. C2×C4#6772semidirect
634. C5#73454semidirect
665. C3#10608032semidirect

Maximal subgroups

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

subgroupindex
C22×#67722
C2×C4×Dic302
C2×#913332
C5×#49392
C3×C4×#6852
#117489162
#117489152
#117488872
#117488862
#117487642
#117487592
#106080323
#734545