Finite Group Databasebeta

← #29689456

Subgroups — #29689456

Order 15616.

1474 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14519756C211yesmaximal, characteristic
2#21448202C211yesmaximal, characteristic
3#21446804C214yesmaximal, complemented
4#21446803C214yesmaximal, complemented
5#21445891C214yesmaximal
6C61×#2280C211yesmaximal, characteristic
7C23×Dic122C411yescharacteristic, complemented
8C2×#14519756—21no—
9C2×#14519756—21no—
10C2×#14519756—21no—
11C2×#14519756—21no—
12C2×#14519756—21no—
13C2×#14519756—21no—
14C2×#14519756—21no—
15C2×#14519756—21no—
16C2×#14519756C412yescomplemented
17C2×#14519756C412yescomplemented
18C2×#14519756C2212yes—
19C2×#14519756C2212yes—
20C2×#14519736—21no—
21C22×C4⋊Dic61C411yescharacteristic, complemented
22C22×#11758196C412yescomplemented
23C22×C22⋊Dic61C2212yes—
24#16839625—21no—
25#16839622—21no—
26#16839622C2212yes—
27#16839618C2212yes—
28C4×C22⋊Dic61—21no—
29C4×C22⋊Dic61C2212yes—
30#16839528C22116yes—
31C24×C4×C61C2211yescharacteristic
32C2×#117×C61—21no—
33C61×#381—21no—
34C61×#380—21no—
35C61×#380C2212yes—
36C61×#379C2212yes—
37C4×C22⋊C4×C61—21no—
38C4×C22⋊C4×C61C2212yes—
39C22×Dic122—21no—
40C22×Dic122—21no—
41C22×Dic122—21no—
42C22×Dic122—21no—
43C22×Dic122—44no—
44C22×Dic122C2×C412yes—
45C22×Dic122C2×C412yes—
46C23×Dic61C2×C412yes—
47C23×Dic61C2×C412yes—
48#14519756—22no—
49#14519756—22no—
50#14519756—22no—
51#14519756—22no—
52#14519756—22no—
53#14519756—22no—
54#14519756—22no—
55#14519756—22no—
56#14519756—22no—
57#14519756—22no—
58#14519756—22no—
59#14519756—22no—
60#14519756—22no—
61#14519756—22no—
62#14519756—22no—
63#14519756—22no—
64#14519736—44no—
65C2×C4⋊Dic61—21no—
66C2×C4⋊Dic61—21no—
67C2×C4⋊Dic61—21no—
68C2×C4⋊Dic61—21no—
69C2×C4⋊Dic61—22no—
70C2×C4⋊Dic61C2×C412yes—
71C2×C4⋊Dic61C2×C412yes—
72C2×#11758196—22no—
73C2×#11758196—22no—
74C2×#11758196—22no—
75C2×#11758196—22no—
76C2×#11758196C2×C414yes—
77C2×#11758196C2×C414yes—
78C2×C22⋊Dic61—22no—
79C2×C22⋊Dic61—22no—
80C2×C22⋊Dic61—22no—
81C2×C22⋊Dic61—22no—
82C2×C22⋊Dic61—22no—
83C2×C22⋊Dic61—22no—
84C2×C22⋊Dic61C2×C414yes—
85C2×C22⋊Dic61C2314yes—
86C2×C22⋊Dic61C2314yes—
87C2×C4×Dic61—22no—
88#14519684—22no—
89#14519684—22no—
90C25×C61C2311yescharacteristic
91C23×C4×C61—44no—
92C23×C4×C61C2×C411yescharacteristic
93C23×C4×C61C2×C411yescharacteristic
94C23×C4×C61C2×C411yescharacteristic
95C23×C4×C61C2×C411yescharacteristic
96C23×C4×C61D411yescharacteristic
97C23×C4×C61D411yescharacteristic
98C23×C4×C61D411yescharacteristic
99C23×C4×C61D411yescharacteristic
100C23×C4×C61D411yescharacteristic
101C23×C4×C61D411yescharacteristic
102C23×C4×C61D411yescharacteristic
103C23×C4×C61D411yescharacteristic
104C23×C4×C61C2311yescharacteristic
105C23×C4×C61C2311yescharacteristic
106#117×C61—44no—
107C2×C4⋊C4×C61—22no—
108C2×C22⋊C4×C61—22no—
109C2×C22⋊C4×C61—22no—
110C2×C22⋊C4×C61C2314yes—
111C2×C42×C61—22no—
112#95×C61—22no—
113#95×C61—22no—
114C24×C61—24no—
115C24×C61—42no—
116C24×C61—42no—
117C24×C61C22×C411yescharacteristic
118C24×C61C22×C411yescharacteristic
119C24×C61C2×D411yescharacteristic
120C24×C61C2×D411yescharacteristic
121C24×C61C2×D411yescharacteristic
122C24×C61C2×D411yescharacteristic
123C24×C61C2411yescharacteristic
124C22×C4×C61—24no—
125C22×C4×C61—24no—
126C22×C4×C61—24no—
127C22×C4×C61—24no—
128C22×C4×C61—42no—
129C22×C4×C61—42no—
130C22×C4×C61—42no—
131C22×C4×C61—42no—
132C22×C4×C61—42no—
133C22×C4×C61—42no—
134C22×C4×C61—42no—
135C22×C4×C61—42no—
136C22×C4×C61—42no—
137C22×C4×C61—42no—
138C22×C4×C61—42no—
139C22×C4×C61C22⋊C411yescharacteristic
140C22×C4×C61C22⋊C411yescharacteristic
141C22×C4×C61C22⋊C411yescharacteristic
142C22×C4×C61C22⋊C411yescharacteristic
143C22×C4×C61C22⋊C411yescharacteristic
144C22×C4×C61C22⋊C411yescharacteristic
145C22×C4×C61C22⋊C411yescharacteristic
146C22×C4×C61C22⋊C411yescharacteristic
147C22×C4×C61C22⋊C411yescharacteristic
148C22×C4×C61C22⋊C411yescharacteristic
149C22×C4×C61C22⋊C411yescharacteristic
150C22×C4×C61C22⋊C411yescharacteristic
151C22×C4×C61C22⋊C411yescharacteristic
152C22×C4×C61C22⋊C411yescharacteristic
153C22×C4×C61C22⋊C411yescharacteristic
154C22×C4×C61C22⋊C411yescharacteristic
155C22×C4×C61C22×C411yescharacteristic
156C22×C4×C61C22×C411yescharacteristic
157C22×C4×C61C22×C411yescharacteristic
158C22×C4×C61C22×C411yescharacteristic
159C22×C4×C61C2×D411yescharacteristic
160C22×C4×C61C2×D411yescharacteristic
161C22×C4×C61C2×D411yescharacteristic
162C22×C4×C61C2×D411yescharacteristic
163C22×C4×C61C2×D411yescharacteristic
164C22×C4×C61C2×D411yescharacteristic
165C22×C4×C61C2×D411yescharacteristic
166C22×C4×C61C2×D411yescharacteristic
167C22×Dic61—22no—
168C22×Dic61—22no—
169C22×Dic61—22no—
170C22×Dic61—22no—
171C22×Dic61—24no—
172C22×Dic61—44no—
173C22×Dic61—44no—
174C22×Dic61C22×C414yes—
175C22×Dic61C22×C414yes—
176C2×Dic122—22no—
177C2×Dic122—22no—
178C2×Dic122—22no—
179C2×Dic122—22no—
180C2×Dic122—44no—
181C2×Dic122—44no—
182C2×Dic122—44no—
183C2×Dic122—44no—
184C2×Dic122—44no—
185C2×Dic122—44no—
186C4⋊C4×C61—44no—
187C22⋊C4×C61—28no—
188C22⋊C4×C61—44no—
189C22⋊C4×C61—44no—
190C42×C61—44no—
191C22⋊Dic61—24no—
192C22⋊Dic61—24no—
193C22⋊Dic61—24no—
194C22⋊Dic61—24no—
195C22⋊Dic61—28no—
196C22⋊Dic61—44no—
197C22⋊Dic61—44no—
198C4⋊Dic61—22no—
199C4⋊Dic61—22no—
200C4⋊Dic61—22no—
201C4⋊Dic61—22no—
202C4⋊Dic61—44no—
203#11758196—24no—
204#11758196—24no—
205#11758196—24no—
206#11758196—24no—
207C4×Dic61—44no—
208C23×C61—22no—
209C23×C61—22no—
210C23×C61—22no—
211C23×C61—22no—
212C23×C61—22no—
213C23×C61—22no—
214C23×C61—22no—
215C23×C61—22no—
216C23×C61—22no—
217C23×C61—22no—
218C23×C61—22no—
219C23×C61—22no—
220C23×C61—41no—
221C23×C61—41no—
222C23×C61—41no—
223C23×C61—41no—
224C23×C61—41no—
225C23×C61—41no—
226C23×C61—41no—
227C23×C61—41no—
228C23×C61—416no—
229C23×C61C2×C22⋊C411yescharacteristic
230C23×C61C2×C22⋊C411yescharacteristic
231C23×C61C2×C22⋊C411yescharacteristic
232C23×C61C2×C22⋊C411yescharacteristic
233C23×C61C23×C411yescharacteristic
234C23×C61C22×D411yescharacteristic
235C23×C61C22×D411yescharacteristic
236C23×C612−1+414yes—
237C2×C4×C61—22no—
238C2×C4×C61—22no—
239C2×C4×C61—22no—
240C2×C4×C61—22no—
241C2×C4×C61—22no—
242C2×C4×C61—22no—
243C2×C4×C61—22no—
244C2×C4×C61—22no—
245C2×C4×C61—22no—
246C2×C4×C61—22no—
247C2×C4×C61—22no—
248C2×C4×C61—22no—
249C2×C4×C61—22no—
250C2×C4×C61—22no—
251C2×C4×C61—22no—
252C2×C4×C61—41no—
253C2×C4×C61—41no—
254C2×C4×C61—41no—
255C2×C4×C61—41no—
256C2×C4×C61—41no—
257C2×C4×C61—41no—
258C2×C4×C61—41no—
259C2×C4×C61—41no—
260C2×C4×C61—41no—
261C2×C4×C61—41no—
262C2×C4×C61—41no—
263C2×C4×C61—41no—
264C2×C4×C61—44no—
265C2×C4×C61—44no—
266C2×C4×C61—44no—
267C2×C4×C61#9914yes—
268C2×C4×C61C2×C22⋊C411yescharacteristic
269C2×C4×C61C2×C22⋊C411yescharacteristic
270C2×C4×C61C2×C22⋊C411yescharacteristic
271C2×C4×C61C2×C22⋊C411yescharacteristic
272C2×C4×C61C2×C22⋊C411yescharacteristic
273C2×C4×C61C2×C22⋊C411yescharacteristic
274C2×C4×C61C2×C22⋊C411yescharacteristic
275C2×C4×C61C2×C22⋊C411yescharacteristic
276C2×Dic61—24no—
277C2×Dic61—24no—
278C2×Dic61—44no—
279C2×Dic61—44no—
280C2×Dic61—44no—
281C2×Dic61—44no—
282C2×Dic61—44no—
283C2×Dic61—44no—
284C2×Dic61—44no—
285C2×Dic61—44no—
286C2×Dic61—44no—
287Dic122—44no—
288Dic122—44no—
289Dic122—44no—
290Dic122—44no—
291#21825—611nomaximal, Sylow
292C22×C61—28no—
293C22×C61—21no—
294C22×C61—21no—
295C22×C61—21no—
296C22×C61—21no—
297C22×C61—21no—
298C22×C61—21no—
299C22×C61—21no—
300C22×C61—21no—
301C22×C61—21no—
302C22×C61—21no—
303C22×C61—21no—
304C22×C61—21no—
305C22×C61—21no—
306C22×C61—21no—
307C22×C61—21no—
308C22×C61—21no—
309C22×C61—44no—
310C22×C61—44no—
311C22×C61—44no—
312C22×C61—44no—
313C22×C61—44no—
314C22×C61—44no—
315C22×C61C2×#9912yes—
316C22×C61#41012yes—
317C22×C61C22×C22⋊C411yescharacteristic
318C22×C61#51912yes—
319C22×C61#53612yes—
320C22×C61#53612yes—
321C4×C61—21no—
322C4×C61—21no—
323C4×C61—21no—
324C4×C61—21no—
325C4×C61—21no—
326C4×C61—21no—
327C4×C61—84no—
328C4×C61C2×#9912yes—
329C4×C61C2×#9912yes—
330Dic61—44no—
331Dic61—44no—
332Dic61—84no—
333C22×C22⋊Q8—611no—
334#2280—611no—
335#2280D6111yescharacteristic
336#1996—614no—
337#1996—614no—
338#1819—614no—
339C2×C61—22no—
340C2×C61—22no—
341C2×C61—22no—
342C2×C61—22no—
343C2×C61—22no—
344C2×C61—41no—
345C2×C61—41no—
346C2×C61#231011yescharacteristic
347C2×C61C22×#9911yescharacteristic
348C2×C61C2×#41011yescharacteristic
349C23×Q8—611no—
350C24×C4C2×D6111yescharacteristic
351C2×C22⋊Q8—612no—
352C2×C22⋊Q8—612no—
353C2×C22⋊Q8—612no—
354C2×C22⋊Q8—612no—
355C2×C22⋊Q8—1221no—
356C2×C22⋊Q8—1221no—
357C2×C22⋊Q8—1221no—
358C2×C22⋊Q8—1221no—
359C2×C22⋊Q8—1221no—
360C2×C22⋊Q8—1221no—
361C2×C22⋊Q8—1221no—
362C2×C22⋊Q8—1221no—
363C2×#117—21no—
364C2×#117—1221no—
365C22×C4⋊C4—612no—
366C22×C4⋊C4—611no—
367C22×C22⋊C4—612no—
368#381—21no—
369#381—1221no—
370#380—21no—
371#380—612no—
372#380—1221no—
373#380C2×D6112yes—
374#379—612no—
375#379C2×D6112yes—
376C4×C22⋊C4—21no—
377C4×C22⋊C4—612no—
378C4×C22⋊C4—1221no—
379C4×C22⋊C4C2×D6112yes—
380#342—6116no—
381C61#2182511yescharacteristic, complemented, Sylow
382C25C22×D6111yescharacteristic
383C22×Q8—612no—
384C22×Q8—612no—
385C22×Q8—1221no—
386C22×Q8—1221no—
387C22×Q8—1221no—
388C22×Q8—1221no—
389C22×Q8—2444no—
390C23×C4—44no—
391C23×C4—612no—
392C23×C4—612no—
393C23×C4C4×D6111yescharacteristic
394C23×C4C4×D6111yescharacteristic
395C23×C4C4×D6111yescharacteristic
396C23×C4C4×D6111yescharacteristic
397C23×C4D24411yescharacteristic
398C23×C4D24411yescharacteristic
399C23×C4D24411yescharacteristic
400C23×C4D24411yescharacteristic
401C23×C4C22⋊D6111yescharacteristic
402C23×C4C22⋊D6111yescharacteristic
403C23×C4C22⋊D6111yescharacteristic
404C23×C4C22⋊D6111yescharacteristic
405C23×C4C22×D6111yescharacteristic
406C23×C4C22×D6111yescharacteristic
407C22⋊Q8—1222no—
408C22⋊Q8—1222no—
409C22⋊Q8—1222no—
410C22⋊Q8—1222no—
411C22⋊Q8—1222no—
412C22⋊Q8—1222no—
413C22⋊Q8—1222no—
414C22⋊Q8—1222no—
415C22⋊Q8—1222no—
416C22⋊Q8—1222no—
417C22⋊Q8—1222no—
418C22⋊Q8—1222no—
419C22⋊Q8—1222no—
420C22⋊Q8—1222no—
421C22⋊Q8—1222no—
422C22⋊Q8—1222no—
423#117—44no—
424#117—2444no—
425C2×C4⋊C4—22no—
426C2×C4⋊C4—614no—
427C2×C4⋊C4—614no—
428C2×C4⋊C4—612no—
429C2×C4⋊C4—612no—
430C2×C4⋊C4—1222no—
431C2×C4⋊C4—1222no—
432C2×C4⋊C4—1222no—
433C2×C4⋊C4—1222no—
434C2×C4⋊C4—1221no—
435C2×C4⋊C4—1221no—
436C2×C4⋊C4—1221no—
437C2×C4⋊C4—1221no—
438C2×C4⋊C4—1222no—
439C2×C22⋊C4—22no—
440C2×C22⋊C4—22no—
441C2×C22⋊C4—614no—
442C2×C22⋊C4—614no—
443C2×C22⋊C4—614no—
444C2×C22⋊C4—1222no—
445C2×C22⋊C4—1222no—
446C2×C22⋊C4—1222no—
447C2×C22⋊C4—1222no—
448C2×C22⋊C4—1222no—
449C2×C22⋊C4—1222no—
450C2×C22⋊C4C22×D6114yes—
451C2×C42—22no—
452C2×C42—1222no—
453#95—22no—
454#95—22no—
455#95—1222no—
456#95—1222no—
457C24—24no—
458C24—42no—
459C24—42no—
460C24C2×C4×D6111yescharacteristic
461C24C2×C4×D6111yescharacteristic
462C24C2×D24411yescharacteristic
463C24C2×D24411yescharacteristic
464C24C2×C22⋊D6111yescharacteristic
465C24C2×C22⋊D6111yescharacteristic
466C24C23×D6111yescharacteristic
467C2×Q8—1222no—
468C2×Q8—1222no—
469C2×Q8—1222no—
470C2×Q8—1222no—
471C2×Q8—2444no—
472C2×Q8—2444no—
473C2×Q8—2444no—
474C2×Q8—2444no—
475C2×Q8—2444no—
476C2×Q8—2444no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—614no—
493C22×C4—614no—
494C22×C4—1222no—
495C22×C4—1222no—
496C22×C4—1222no—
497C22×C4—1222no—
498C22×C4—1224no—
499C22×C4—2444no—
500C22×C4—2444no—
501C22×C4#1175819811yescharacteristic
502C22×C4#1175819811yescharacteristic
503C22×C4#1175819811yescharacteristic
504C22×C4#1175819811yescharacteristic
505C22×C4#1175819811yescharacteristic
506C22×C4#1175819811yescharacteristic
507C22×C4#1175819811yescharacteristic
508C22×C4#1175819811yescharacteristic
509C22×C4#1175819811yescharacteristic
510C22×C4#1175819811yescharacteristic
511C22×C4#1175819811yescharacteristic
512C22×C4#1175819811yescharacteristic
513C22×C4#1175819811yescharacteristic
514C22×C4#1175819811yescharacteristic
515C22×C4#1175819811yescharacteristic
516C22×C4#1175819811yescharacteristic
517C22×C4C2×C4×D6111yescharacteristic
518C22×C4C2×C4×D6111yescharacteristic
519C22×C4C2×C4×D6111yescharacteristic
520C22×C4C2×C4×D6111yescharacteristic
521C22×C4C2×D24411yescharacteristic
522C22×C4C2×D24411yescharacteristic
523C22×C4C2×D24411yescharacteristic
524C22×C4C2×D24411yescharacteristic
525C22×C4C2×C22⋊D6111yescharacteristic
526C22×C4C2×C22⋊D6111yescharacteristic
527C22×C4C2×C22⋊D6111yescharacteristic
528C22×C4C2×C22⋊D6111yescharacteristic
529C4⋊C4—44no—
530C4⋊C4—1224no—
531C4⋊C4—1224no—
532C4⋊C4—1224no—
533C4⋊C4—1224no—
534C4⋊C4—1222no—
535C4⋊C4—1222no—
536C4⋊C4—1222no—
537C4⋊C4—1222no—
538C4⋊C4—2444no—
539C22⋊C4—28no—
540C22⋊C4—44no—
541C22⋊C4—44no—
542C22⋊C4—1224no—
543C22⋊C4—1224no—
544C22⋊C4—1224no—
545C22⋊C4—1224no—
546C22⋊C4—1228no—
547C22⋊C4—2444no—
548C22⋊C4—2444no—
549C42—44no—
550C42—2444no—
551C23—22no—
552C23—22no—
553C23—22no—
554C23—22no—
555C23—22no—
556C23—22no—
557C23—22no—
558C23—22no—
559C23—22no—
560C23—22no—
561C23—22no—
562C23—22no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—416no—
572C23C2×#1175819811yescharacteristic
573C23C2×#1175819811yescharacteristic
574C23C2×#1175819811yescharacteristic
575C23C2×#1175819811yescharacteristic
576C23C22×C4×D6111yescharacteristic
577C23C22×C22⋊D6111yescharacteristic
578C23C22×D24411yescharacteristic
579C23#1451982414yes—
580Q8—2444no—
581Q8—2444no—
582Q8—2444no—
583Q8—2444no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—44no—
612C2×C4—44no—
613C2×C4—44no—
614C2×C4—1224no—
615C2×C4—1224no—
616C2×C4—2444no—
617C2×C4—2444no—
618C2×C4—2444no—
619C2×C4—2444no—
620C2×C4—2444no—
621C2×C4—2444no—
622C2×C4—2444no—
623C2×C4—2444no—
624C2×C4—2444no—
625C2×C4#1451969114yes—
626C2×C4C2×#1175819811yescharacteristic
627C2×C4C2×#1175819811yescharacteristic
628C2×C4C2×#1175819811yescharacteristic
629C2×C4C2×#1175819811yescharacteristic
630C2×C4C2×#1175819811yescharacteristic
631C2×C4C2×#1175819811yescharacteristic
632C2×C4C2×#1175819811yescharacteristic
633C2×C4C2×#1175819811yescharacteristic
634C22—28no—
635C22—21no—
636C22—21no—
637C22—21no—
638C22—21no—
639C22—21no—
640C22—21no—
641C22—21no—
642C22—21no—
643C22—21no—
644C22—21no—
645C22—21no—
646C22—21no—
647C22—21no—
648C22—21no—
649C22—21no—
650C22—21no—
651C22—44no—
652C22—44no—
653C22—44no—
654C22—44no—
655C22—44no—
656C22—44no—
657C22C2×#1451969112yes—
658C22#1683973512yes—
659C22C22×#1175819811yescharacteristic
660C22#1684023912yes—
661C22#1684033312yes—
662C22#1684033812yes—
663C4—21no—
664C4—21no—
665C4—21no—
666C4—21no—
667C4—21no—
668C4—21no—
669C4—84no—
670C4—4884no—
671C4—2444no—
672C4—2444no—
673C4C2×#1451969112yes—
674C4C2×#1451969112yes—
675C2—22no—
676C2—22no—
677C2—22no—
678C2—22no—
679C2—22no—
680C2—41no—
681C2—41no—
682C2#2144840311yescharacteristic
683C2C22×#1451969111yescharacteristic
684C2C2×#1683973511yescharacteristic
subgroupG/H
centerC22C22×#11758198
commutatorC23×C61C23×C4
FrattiniC24C23×D61
FittingC61×#2280C2
socleC22×C61C22×C22⋊C4
prime radicalC25×C61C23
cosocleC24×C61C24
hypercenter#2280D61
hypocenterC61#21825
LCSG ▷ C23×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C24×C4 ◁ #2280

Complements

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

NH ≅ G/Ntype
3. #21446804C2semidirect
4. #21446803C2semidirect
7. C23×Dic122C4semidirect
16. C2×#14519756C4semidirect
17. C2×#14519756C4semidirect
21. C22×C4⋊Dic61C4semidirect
22. C22×#11758196C4semidirect
381. C61#21825semidirect

Maximal subgroups

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

subgroupindex
C22×#145197562
#214482022
#214468042
#214468032
#214458912
C61×#22802
#2182561