Finite Group Databasebeta

← #14321150

Subgroups — #14321150

Order 1920.

1872 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#6817C211yesmaximal, characteristic
2C2×#91761C211yesmaximal, characteristic, complemented
3C2×C42×D15C211yesmaximal, characteristic, complemented
4C3×C4×C5×C22⋊C4C211yesmaximal, characteristic, complemented
5C4×#6719C211yesmaximal, characteristic, complemented
6#11751058C212yesmaximal, complemented
7#11751057C212yesmaximal, complemented
8C4×#6714C211yesmaximal, characteristic, complemented
9C4×#6714C211yesmaximal, characteristic, complemented
10#11750766C212yesmaximal, complemented
11#11750747C212yesmaximal, complemented
12#10605294—31nomaximal, Hall
13C23×C3×C4×C5C2211yescharacteristic
14C22×#1220C2211yescharacteristic
15C22×#1220C2211yescharacteristic
16C2×#6817—24no—
17C2×#6817—24no—
18C2×#6817C418yescomplemented
19C22×D60C2211yescharacteristic
20C22×C4×D15C2212yes—
21C22×C4×D15C2211yescharacteristic
22C22×C4×D15C2211yescharacteristic
23C22×Dic30C2211yescharacteristic
24C2×C3×C5×C22⋊C4C2212yes—
25C2×C3×C42×C5C2211yescharacteristic
26C2×C3×C42×C5C2211yescharacteristic
27C2×#6719C2212yes—
28C2×#6714C2212yes—
29C2×#6714C2212yes—
30C2×#6714C2212yes—
31C2×#6712C2212yes—
32C2×C4×Dic15C2212yes—
33C2×C4×Dic15C2211yescharacteristic
34C2×C4×Dic15C2211yescharacteristic
35#91761—24no—
36C42×D15—24no—
37C3×C5×#95C2212yes—
38#91115C2212yes—
39#91115C2212yes—
40#91115C2212yes—
41#73563—51nomaximal, Hall
42C22×#709—31no—
43C2×#4018—31no—
44C2×C42×D5—31no—
45C4×C5×C22⋊C4D311yescharacteristic, complemented
46C4×C22⋊Dic5—31no—
47#65246—32no—
48#65245—32no—
49C4×#685—31no—
50C4×#685—31no—
51#64954—32no—
52#64935—32no—
53C24×C3×C5C2311yescharacteristic
54C23×D15C2311yescharacteristic
55C23×D15C2311yescharacteristic
56C22×C3×C4×C5—22no—
57C22×C3×C4×C5—22no—
58C22×C3×C4×C5C2×C414yescomplemented
59C22×C3×C4×C5C2312yes—
60C22×C3×C4×C5C2311yescharacteristic
61C22×C3×C4×C5C2312yes—
62C22×C3×C4×C5C2311yescharacteristic
63C2×#1220—22no—
64C2×#1220—22no—
65C2×#1220—22no—
66C2×#1220—22no—
67C2×#1220C2×C414yes—
68C2×#1220C2×C414yescomplemented
69C22×Dic15C2312yes—
70C22×Dic15C2311yescharacteristic
71C22×Dic15C2312yes—
72C22×Dic15C2311yescharacteristic
73#6817—232no—
74C2×D60—22no—
75C2×D60—22no—
76C2×D60C2×C414yes—
77C2×C4×D15—24no—
78C2×C4×D15—22no—
79C2×C4×D15—22no—
80C2×C4×D15—24no—
81C2×C4×D15—24no—
82C2×C4×D15C2×C414yes—
83C2×C4×D15C2×C414yescomplemented
84C2×C4×D15D414yes—
85C2×C4×D15D414yes—
86C2×Dic30—22no—
87C2×Dic30—22no—
88C2×Dic30C2×C414yescomplemented
89C3×C5×C22⋊C4—24no—
90C3×C42×C5—22no—
91C3×C42×C5—22no—
92#6719—24no—
93#6714—24no—
94#6714—24no—
95#6714—24no—
96#6712—24no—
97C4×Dic15—22no—
98C4×Dic15—22no—
99C4×Dic15—24no—
100C22×#235—51no—
101C2×#872—51no—
102C2×C42×D3—51no—
103C3×C4×C22⋊C4D511yescharacteristic, complemented
104C4×#217—51no—
105#4957—52no—
106#4956—52no—
107C4×(C2×D3)⋊C4—51no—
108C4×(C2×D3)⋊C4—51no—
109#4665—52no—
110#4646—52no—
111C23×C4×C5C2×D311yescharacteristic
112C22×C22⋊D5—31no—
113C22×C22⋊D5—31no—
114C2×#709—38no—
115C2×#709—64no—
116C2×#709—64no—
117C22×D20—31no—
118C22×C4×D5—31no—
119C22×C4×D5—31no—
120C22×C4×D5—32no—
121C22×Dic10—31no—
122C2×C5×C22⋊C4C2×D312yes—
123C2×C42×C5C2×D311yescharacteristic
124C2×C42×C5C2×D311yescharacteristic
125C2×C22⋊Dic5—32no—
126C2×#685—32no—
127C2×#685—32no—
128C2×#685—32no—
129C2×#683—32no—
130C2×C4×Dic5—32no—
131C2×C4×Dic5—31no—
132C2×C4×Dic5—31no—
133#4018—64no—
134C42×D5—64no—
135C5×#95C2×D312yes—
136#3963—32no—
137#3963—32no—
138#3963—32no—
139#2297—151noSylow
140C23×C3×C5—21no—
141C23×C3×C5—21no—
142C23×C3×C5—22no—
143C23×C3×C5—22no—
144C23×C3×C5C22×C412yes—
145C23×C3×C5C2411yescharacteristic
146C22×D15—22no—
147C22×D15—22no—
148C22×D15—21no—
149C22×D15—21no—
150C22×D15—22no—
151C22×D15—22no—
152C22×D15C22×C412yes—
153C22×D15C22×C412yes—
154C22×D15C2×D412yes—
155C22×D15C2×D412yes—
156C2×C3×C4×C5—22no—
157C2×C3×C4×C5—21no—
158C2×C3×C4×C5—21no—
159C2×C3×C4×C5—22no—
160C2×C3×C4×C5—28no—
161C2×C3×C4×C5—22no—
162C2×C3×C4×C5—22no—
163C2×C3×C4×C5—22no—
164C2×C3×C4×C5C22×C412yes—
165C2×C3×C4×C5C22×C412yes—
166C2×C3×C4×C5C2×D412yes—
167C2×C3×C4×C5C2×D412yes—
168C2×C3×C4×C5#4114yescomplemented
169#1220—28no—
170#1220—28no—
171C2×Dic15—22no—
172C2×Dic15—21no—
173C2×Dic15—21no—
174C2×Dic15—22no—
175C2×Dic15—22no—
176C2×Dic15—22no—
177C2×Dic15—22no—
178C2×Dic15C22×C412yes—
179C2×Dic15C22×C412yes—
180C2×Dic15C2×D412yes—
181C2×Dic15C2×D412yes—
182C2×Dic15#4114yescomplemented
183D60—28no—
184C4×D15—216no—
185C4×D15—28no—
186C4×D15C22⋊C4116yescomplemented
187Dic30—28no—
188C23×C3×C4C2×D511yescharacteristic
189C22×#67—51no—
190C22×#67—51no—
191C2×#235—58no—
192C2×#235—104no—
193C2×#235—104no—
194C22×D12—51no—
195C22×C4×D3—51no—
196C22×C4×D3—51no—
197C22×C4×D3—52no—
198C22×Dic6—51no—
199C2×C3×C22⋊C4C2×D512yes—
200C2×C3×C42C2×D511yescharacteristic
201C2×C3×C42C2×D511yescharacteristic
202C2×#217—52no—
203C2×(C2×D3)⋊C4—52no—
204C2×(C2×D3)⋊C4—52no—
205C2×(C2×D3)⋊C4—52no—
206C2×Dic3⋊C4—52no—
207C2×C4×Dic3—52no—
208C2×C4×Dic3—51no—
209C2×C4×Dic3—51no—
210#872—104no—
211C42×D3—104no—
212C3×#95C2×D512yes—
213C3⋊#95—52no—
214C3⋊#95—52no—
215C3⋊#95—52no—
216C24×C5C22×D311yescharacteristic
217C23×D5—31no—
218C23×D5—31no—
219C22×C4×C5—22no—
220C22×C4×C5—22no—
221C22×C4×C5C4×D314yescomplemented
222C22×C4×C5C22×D312yes—
223C22×C4×C5C22×D311yescharacteristic
224C22×C4×C5C22×D312yes—
225C22×C4×C5C22×D311yescharacteristic
226C2×C22⋊D5—34no—
227C2×C22⋊D5—34no—
228C2×C22⋊D5—62no—
229C2×C22⋊D5—62no—
230C2×C22⋊D5—62no—
231C2×C22⋊D5—62no—
232C22×Dic5—31no—
233C22×Dic5—32no—
234C22×Dic5—31no—
235C22×Dic5—32no—
236#709—632no—
237C2×D20—34no—
238C2×D20—62no—
239C2×D20—62no—
240C2×C4×D5—34no—
241C2×C4×D5—34no—
242C2×C4×D5—34no—
243C2×C4×D5—34no—
244C2×C4×D5—64no—
245C2×C4×D5—64no—
246C2×C4×D5—64no—
247C2×C4×D5—62no—
248C2×C4×D5—62no—
249C2×Dic10—34no—
250C2×Dic10—62no—
251C2×Dic10—62no—
252C5×C22⋊C4—24no—
253C42×C5—22no—
254C42×C5—22no—
255C22⋊Dic5—64no—
256#685—64no—
257#685—64no—
258#685—64no—
259#683—64no—
260C4×Dic5—64no—
261C4×Dic5—62no—
262C4×Dic5—62no—
263C22×#41—151no—
264C2×#117—151no—
265C22×C42—151no—
266#391—152no—
267#390—152no—
268#386—152no—
269#386—152no—
270C4×C22⋊C4—151no—
271C4×C22⋊C4—151no—
272C4×C22⋊C4—151no—
273C4×C22⋊C4D1511yescharacteristic, complemented
274C22×C3×C5—22no—
275C22×C3×C5—22no—
276C22×C3×C5—22no—
277C22×C3×C5—42no—
278C22×C3×C5—42no—
279C22×C3×C5C23×C411yescharacteristic
280C22×C3×C5C22×D411yescharacteristic
281C22×C3×C5C22×D411yescharacteristic
282C22×C3×C5C2×#4112yes—
283C22×C3×C5C2×#4112yes—
284C2×D15—22no—
285C2×D15—22no—
286C2×D15—24no—
287C2×D15—24no—
288C2×D15—22no—
289C2×D15—22no—
290C2×D15—22no—
291C2×D15—42no—
292C2×D15—42no—
293C2×D15C2×C22⋊C414yes—
294C3×C4×C5—22no—
295C3×C4×C5—24no—
296C3×C4×C5—42no—
297C3×C4×C5C2×C22⋊C414yes—
298Dic15—22no—
299Dic15—24no—
300Dic15—42no—
301Dic15C2×C22⋊C414yes—
302C24×C3C22×D511yescharacteristic
303C23×D3—51no—
304C23×D3—51no—
305C22×C3×C4—22no—
306C22×C3×C4—22no—
307C22×C3×C4C4×D514yescomplemented
308C22×C3×C4C22×D512yes—
309C22×C3×C4C22×D511yescharacteristic
310C22×C3×C4C22×D512yes—
311C22×C3×C4C22×D511yescharacteristic
312C2×#67—54no—
313C2×#67—54no—
314C2×#67—102no—
315C2×#67—102no—
316C2×#67—102no—
317C2×#67—102no—
318C22×Dic3—51no—
319C22×Dic3—51no—
320C22×Dic3—52no—
321C22×Dic3—52no—
322#235—1032no—
323C2×D12—54no—
324C2×D12—102no—
325C2×D12—102no—
326C2×C4×D3—54no—
327C2×C4×D3—54no—
328C2×C4×D3—54no—
329C2×C4×D3—54no—
330C2×C4×D3—104no—
331C2×C4×D3—104no—
332C2×C4×D3—104no—
333C2×C4×D3—102no—
334C2×C4×D3—102no—
335C2×Dic6—54no—
336C2×Dic6—102no—
337C2×Dic6—102no—
338C3×C22⋊C4—24no—
339C3×C42—22no—
340C3×C42—22no—
341#217—104no—
342(C2×D3)⋊C4—104no—
343(C2×D3)⋊C4—104no—
344(C2×D3)⋊C4—104no—
345Dic3⋊C4—104no—
346C4×Dic3—104no—
347C4×Dic3—102no—
348C4×Dic3—102no—
349C23×C5—22no—
350C23×C5—21no—
351C23×C5—21no—
352C23×C5—22no—
353C23×C5C2×C4×D312yes—
354C23×C5C23×D311yescharacteristic
355C22×D5—32no—
356C22×D5—32no—
357C22×D5—32no—
358C22×D5—32no—
359C22×D5—62no—
360C22×D5—62no—
361C22×D5—62no—
362C22×D5—61no—
363C22×D5—61no—
364C22×D5—62no—
365C2×C4×C5—22no—
366C2×C4×C5—21no—
367C2×C4×C5—21no—
368C2×C4×C5—22no—
369C2×C4×C5—28no—
370C2×C4×C5—22no—
371C2×C4×C5—22no—
372C2×C4×C5—22no—
373C2×C4×C5C2×C4×D312yes—
374C2×C4×C5C2×C4×D312yes—
375C2×C4×C5#23514yescomplemented
376C2×C4×C5D3×D412yes—
377C2×C4×C5D3×D412yes—
378C22⋊D5—68no—
379C22⋊D5—68no—
380C2×Dic5—32no—
381C2×Dic5—32no—
382C2×Dic5—32no—
383C2×Dic5—32no—
384C2×Dic5—34no—
385C2×Dic5—62no—
386C2×Dic5—62no—
387C2×Dic5—61no—
388C2×Dic5—61no—
389C2×Dic5—62no—
390C2×Dic5—62no—
391C2×Dic5—62no—
392D20—68no—
393C4×D5—316no—
394C4×D5—616no—
395C4×D5—68no—
396Dic10—68no—
397C2×#41—158no—
398C2×#41—304no—
399C2×#41—304no—
400C22×Q8—151no—
401C22×D4—151no—
402C22×D4—151no—
403C22×D4—151no—
404C23×C4—151no—
405C23×C4—151no—
406C23×C4—152no—
407C23×C4C2×D1511yescharacteristic
408#117—304no—
409C2×C4⋊C4—152no—
410C2×C22⋊C4—152no—
411C2×C22⋊C4—152no—
412C2×C22⋊C4—152no—
413C2×C22⋊C4—152no—
414C2×C22⋊C4C2×D1512yes—
415C2×C42—152no—
416C2×C42—151no—
417C2×C42—151no—
418C2×C42—304no—
419C2×C42C2×D1511yescharacteristic
420C2×C42C2×D1511yescharacteristic
421#95—152no—
422#95—152no—
423#95—152no—
424#95C2×D1512yes—
425C2×C3×C5—42no—
426C2×C3×C5C22×C22⋊C411yescharacteristic
427C2×C3×C5C4×#4111yescharacteristic
428C2×C3×C5C4×#4111yescharacteristic
429C2×C3×C5#52512yes—
430C2×C3×C5#53212yes—
431D15—24no—
432D15—42no—
433C23×C3—22no—
434C23×C3—21no—
435C23×C3—21no—
436C23×C3—22no—
437C23×C3C2×C4×D512yes—
438C23×C3C23×D511yescharacteristic
439C22×D3—52no—
440C22×D3—52no—
441C22×D3—52no—
442C22×D3—52no—
443C22×D3—102no—
444C22×D3—102no—
445C22×D3—102no—
446C22×D3—101no—
447C22×D3—101no—
448C22×D3—102no—
449C2×C3×C4—22no—
450C2×C3×C4—21no—
451C2×C3×C4—21no—
452C2×C3×C4—22no—
453C2×C3×C4—28no—
454C2×C3×C4—22no—
455C2×C3×C4—22no—
456C2×C3×C4—22no—
457C2×C3×C4C2×C4×D512yes—
458C2×C3×C4C2×C4×D512yes—
459C2×C3×C4#70914yescomplemented
460C2×C3×C4D4×D512yes—
461C2×C3×C4D4×D512yes—
462#67—108no—
463#67—108no—
464C2×Dic3—52no—
465C2×Dic3—52no—
466C2×Dic3—52no—
467C2×Dic3—52no—
468C2×Dic3—54no—
469C2×Dic3—102no—
470C2×Dic3—102no—
471C2×Dic3—101no—
472C2×Dic3—101no—
473C2×Dic3—102no—
474C2×Dic3—102no—
475C2×Dic3—102no—
476D12—108no—
477C4×D3—516no—
478C4×D3—1016no—
479C4×D3—108no—
480Dic6—108no—
481C22×C5—22no—
482C22×C5—22no—
483C22×C5—22no—
484C22×C5—42no—
485C22×C5—42no—
486C22×C5C22×C4×D311yescharacteristic
487C22×C5C2×#23512yes—
488C22×C5C2×D3×D411yescharacteristic
489C22×C5C2×D3×D411yescharacteristic
490C22×C5D3×#4112yes—
491C2×D5—34no—
492C2×D5—62no—
493C2×D5—62no—
494C2×D5—64no—
495C2×D5—64no—
496C2×D5—62no—
497C2×D5—62no—
498C2×D5—62no—
499C2×D5—122no—
500C2×D5—122no—
501C4×C5—22no—
502C4×C5—24no—
503C4×C5—42no—
504C4×C5D3×C22⋊C414yes—
505Dic5—34no—
506Dic5—62no—
507Dic5—64no—
508Dic5—122no—
509C24—151no—
510C24—151no—
511C24C22×D1511yescharacteristic
512#41—3032no—
513C2×Q8—154no—
514C2×Q8—302no—
515C2×Q8—302no—
516C2×D4—154no—
517C2×D4—154no—
518C2×D4—154no—
519C2×D4—302no—
520C2×D4—302no—
521C2×D4—302no—
522C2×D4—302no—
523C2×D4—302no—
524C2×D4—302no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—151no—
528C22×C4—154no—
529C22×C4—154no—
530C22×C4—154no—
531C22×C4—151no—
532C22×C4—152no—
533C22×C4—154no—
534C22×C4—152no—
535C22×C4—304no—
536C22×C4—304no—
537C22×C4—304no—
538C22×C4—302no—
539C22×C4—302no—
540C22×C4C4×D1514yescomplemented
541C22×C4C22×D1512yes—
542C22×C4C22×D1511yescharacteristic
543C22×C4C22×D1512yes—
544C22×C4C22×D1511yescharacteristic
545C4⋊C4—304no—
546C22⋊C4—24no—
547C22⋊C4—304no—
548C22⋊C4—304no—
549C22⋊C4—304no—
550C22⋊C4—304no—
551C42—22no—
552C42—22no—
553C42—304no—
554C42—302no—
555C42—302no—
556C3×C5#229711yescharacteristic, complemented, Hall
557C22×C3—22no—
558C22×C3—22no—
559C22×C3—22no—
560C22×C3—42no—
561C22×C3—42no—
562C22×C3C22×C4×D511yescharacteristic
563C22×C3C2×#70912yes—
564C22×C3C2×D4×D511yescharacteristic
565C22×C3C2×D4×D511yescharacteristic
566C22×C3D5×#4112yes—
567C2×D3—54no—
568C2×D3—102no—
569C2×D3—102no—
570C2×D3—104no—
571C2×D3—104no—
572C2×D3—102no—
573C2×D3—102no—
574C2×D3—102no—
575C2×D3—202no—
576C2×D3—202no—
577C3×C4—22no—
578C3×C4—24no—
579C3×C4—42no—
580C3×C4D5×C22⋊C414yes—
581Dic3—54no—
582Dic3—102no—
583Dic3—104no—
584Dic3—202no—
585C2×C5—42no—
586C2×C5C4×#23511yescharacteristic
587C2×C5C2×D3×C22⋊C411yescharacteristic
588C2×C5#552211yescharacteristic
589C2×C5#554712yes—
590C2×C5#554812yes—
591D5—64no—
592D5—122no—
593C23—22no—
594C23—21no—
595C23—21no—
596C23—22no—
597C23—152no—
598C23—152no—
599C23—152no—
600C23—152no—
601C23—302no—
602C23—302no—
603C23—302no—
604C23—301no—
605C23—301no—
606C23—302no—
607C23C2×C4×D1512yes—
608C23C23×D1511yescharacteristic
609Q8—308no—
610D4—308no—
611D4—308no—
612D4—308no—
613C2×C4—22no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—22no—
617C2×C4—28no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—152no—
622C2×C4—152no—
623C2×C4—152no—
624C2×C4—1516no—
625C2×C4—152no—
626C2×C4—154no—
627C2×C4—3016no—
628C2×C4—302no—
629C2×C4—302no—
630C2×C4—301no—
631C2×C4—301no—
632C2×C4—308no—
633C2×C4—302no—
634C2×C4—302no—
635C2×C4—302no—
636C2×C4C2×C4×D1512yes—
637C2×C4C2×C4×D1512yes—
638C2×C4#681714yescomplemented
639C2×C4D4×D1512yes—
640C2×C4D4×D1512yes—
641C2×C3—42no—
642C2×C3C4×#70911yescharacteristic
643C2×C3C2×D5×C22⋊C411yescharacteristic
644C2×C3#6585611yescharacteristic
645C2×C3#6588112yes—
646C2×C3#6588212yes—
647D3—104no—
648D3—202no—
649C5#7356311yescharacteristic, complemented, Sylow
650C22—22no—
651C22—22no—
652C22—22no—
653C22—42no—
654C22—42no—
655C22—154no—
656C22—304no—
657C22—304no—
658C22—302no—
659C22—302no—
660C22—302no—
661C22—302no—
662C22—302no—
663C22—602no—
664C22—602no—
665C22C22×C4×D1511yescharacteristic
666C22C2×#681712yes—
667C22C2×D4×D1511yescharacteristic
668C22C2×D4×D1511yescharacteristic
669C22#41×D1512yes—
670C4—24no—
671C4—22no—
672C4—42no—
673C4—154no—
674C4—304no—
675C4—302no—
676C4—602no—
677C4C22⋊C4×D1514yes—
678C3#1060529411yescharacteristic, complemented, Sylow
679C2—42no—
680C2—304no—
681C2—602no—
682C2C4×#681711yescharacteristic
683C2C2×C22⋊C4×D1511yescharacteristic
684C2#1175628111yescharacteristic
685C2#1175630612yes—
686C2#1175630712yes—
subgroupG/H
centerC22×C4C22×D15
commutatorC22×C3×C5C23×C4
FrattiniC23C23×D15
FittingC3×C4×C5×C22⋊C4C2
socle, cosocleC23×C3×C5C24
prime radicalC22×#6817C2
hypercenterC4×C22⋊C4D15
hypocenterC3×C5#2297
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C22×C4 ◁ C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×#91761C2semidirect
3. C2×C42×D15C2semidirect
4. C3×C4×C5×C22⋊C4C2semidirect
5. C4×#6719C2semidirect
6. #11751058C2semidirect
7. #11751057C2semidirect
8. C4×#6714C2semidirect
9. C4×#6714C2semidirect
10. #11750766C2semidirect
11. #11750747C2semidirect
18. C2×#6817C4semidirect
45. C4×C5×C22⋊C4D3semidirect
58. C22×C3×C4×C5C2×C4semidirect
68. C2×#1220C2×C4semidirect
83. C2×C4×D15C2×C4semidirect
88. C2×Dic30C2×C4semidirect
103. C3×C4×C22⋊C4D5semidirect
168. C2×C3×C4×C5#41semidirect
182. C2×Dic15#41semidirect
186. C4×D15C22⋊C4semidirect
221. C22×C4×C5C4×D3semidirect
273. C4×C22⋊C4D15semidirect
307. C22×C3×C4C4×D5semidirect
375. C2×C4×C5#235semidirect
459. C2×C3×C4#709semidirect
540. C22×C4C4×D15semidirect
556. C3×C5#2297semidirect
638. C2×C4#6817semidirect
649. C5#73563semidirect
678. C3#10605294semidirect

Maximal subgroups

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

subgroupindex
C22×#68172
C2×#917612
C2×C42×D152
C3×C4×C5×C22⋊C42
C4×#67192
#117510582
#117510572
C4×#67142
#117507662
#117507472
#106052943
#735635