Finite Group Databasebeta

← #30615111

Subgroups — #30615111

Order 15616.

1470 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840733C211yesmaximal, characteristic
2#21462263C211yesmaximal, characteristic
3#21461727C214yesmaximal, complemented
4#21461726C212yesmaximal, complemented
5#21461725C212yesmaximal, complemented
6#21461499C214yesmaximal, complemented
7C2×#117×D61C211yesmaximal, characteristic
8C22×#11758213C2212yes—
9C2×#14519856C2212yes—
10#16840733—21no—
11#16840733—21no—
12#16840733C2212yes—
13#16840733C2212yes—
14C2×#14519834—21no—
15C2×C22⋊#92420—21no—
16#16840705—21no—
17#16840704—21no—
18#16840704—21no—
19#16840703—21no—
20C4×C22⋊#6923C2212yes—
21C4×C22⋊#6923C2212yes—
22#16840632C2218yescomplemented
23#16840632C2218yescomplemented
24C23×C4×D61C2211yescharacteristic
25C2×#14519736C411yescharacteristic, complemented
26C2×#14519735C2211yescharacteristic
27C2×#14519735C2211yescharacteristic
28C2×#14519734—21no—
29C2×#14519733—21no—
30#117×D61—21no—
31#117×D61—21no—
32#117×D61—21no—
33#117×D61—21no—
34#117×D61C412yescomplemented
35#117×D61C412yescomplemented
36#117×D61C2212yes—
37#117×D61C2212yes—
38C2×C4⋊C4×D61C411yescharacteristic, complemented
39C2×C4⋊C4×D61C411yescharacteristic, complemented
40C2×C22⋊C4×D61—21no—
41C2×C42×D61—21no—
42C2×#117×C61C411yescharacteristic, complemented
43C2×#11758213—28no—
44C2×#11758213—22no—
45C2×#11758213C2314yes—
46C22×#92420—22no—
47#14519856—28no—
48C2×C4⋊#6923—22no—
49C2×C22⋊#6923—22no—
50C2×C22⋊#6923—22no—
51C2×C22⋊#6923—22no—
52C2×C4×#6923C2314yes—
53#14519834—22no—
54#14519834—22no—
55C22⋊#92420—22no—
56C22⋊#92420—22no—
57(C2×#6923)⋊C4—22no—
58(C2×#6923)⋊C4—22no—
59C24×D61D411yescharacteristic
60C23×Dic61D411yescharacteristic
61C22×C4×D61—28no—
62C22×C4×D61—21no—
63C22×C4×D61—21no—
64C22×C4×D61C2×C411yescharacteristic
65C22×C4×D61C2×C411yescharacteristic
66C22×C4×D61C2×C411yescharacteristic
67C22×C4×D61D411yescharacteristic
68C22×C4×D61D411yescharacteristic
69C22×C4×D61D411yescharacteristic
70C22×C4×D61D411yescharacteristic
71C22×C4×D61D411yescharacteristic
72C22×C4×D61D411yescharacteristic
73C22×C4×D61C2311yescharacteristic
74C22×C4×D61C2311yescharacteristic
75C22×C4×D61C2311yescharacteristic
76#14519736—21no—
77#14519736—21no—
78#14519736C2×C412yes—
79#14519736C2×C412yes—
80#14519735—21no—
81#14519735—21no—
82#14519735—21no—
83#14519735—21no—
84#14519735C2×C412yes—
85#14519735C2×C412yes—
86#14519735C2312yes—
87#14519735C2312yes—
88#14519734—22no—
89#14519734—22no—
90#14519734—22no—
91#14519734—22no—
92#14519733—22no—
93#14519733—22no—
94#14519733—22no—
95#14519733—22no—
96C2×C4⋊Dic61C2×C411yescharacteristic
97C2×C4⋊Dic61C2×C411yescharacteristic
98C2×#11758196—21no—
99C2×#11758196—21no—
100C4⋊C4×D61—21no—
101C4⋊C4×D61—21no—
102C4⋊C4×D61—21no—
103C4⋊C4×D61—21no—
104C4⋊C4×D61C2×C412yes—
105C4⋊C4×D61C2×C412yes—
106C4⋊C4×D61C2×C412yes—
107C4⋊C4×D61C2×C412yes—
108C2×C22⋊Dic61—21no—
109C2×#11758198—21no—
110C2×#11758198—21no—
111C22⋊C4×D61—22no—
112C22⋊C4×D61—22no—
113C22⋊C4×D61—22no—
114C22⋊C4×D61—22no—
115C2×C4×Dic61—21no—
116C2×C4×Dic61—21no—
117C2×C4×Dic61—21no—
118C42×D61—22no—
119C42×D61—22no—
120C42×D61—22no—
121C42×D61—22no—
122C23×C4×C61C2×C411yescharacteristic
123#117×C61—21no—
124#117×C61—21no—
125#117×C61C2×C412yes—
126#117×C61C2×C412yes—
127C2×C4⋊C4×C61C2×C411yescharacteristic
128C2×C4⋊C4×C61C2×C411yescharacteristic
129C2×C22⋊C4×C61—21no—
130C2×C42×C61—21no—
131C24×C61C22⋊C411yescharacteristic
132C23×D61—24no—
133C23×D61—42no—
134C23×D61—42no—
135C23×D61C22⋊C411yescharacteristic
136C23×D61C22⋊C411yescharacteristic
137C23×D61C22⋊C411yescharacteristic
138C23×D61C2×D411yescharacteristic
139C23×D61C2×D411yescharacteristic
140C23×D61C2×D411yescharacteristic
141C22×#6923—24no—
142C22×C4×C61—24no—
143C22×C4×C61—21no—
144C22×C4×C61—21no—
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×Dic61—24no—
152C22×Dic61—21no—
153C22×Dic61—21no—
154C22×Dic61C22⋊C411yescharacteristic
155C22×Dic61C22⋊C411yescharacteristic
156C22×Dic61C22⋊C411yescharacteristic
157C22×Dic61C2×D411yescharacteristic
158C22×Dic61C2×D411yescharacteristic
159C22×Dic61C2×D411yescharacteristic
160C2×C4×D61—24no—
161C2×C4×D61—24no—
162C2×C4×D61—24no—
163C2×C4×D61—24no—
164C2×C4×D61—24no—
165C2×C4×D61—24no—
166C2×C4×D61—24no—
167C2×C4×D61—24no—
168C2×C4×D61—24no—
169C2×C4×D61—24no—
170C2×C4×D61—24no—
171C2×C4×D61—22no—
172C2×C4×D61—22no—
173C2×C4×D61—22no—
174C2×C4×D61—22no—
175C2×C4×D61—44no—
176C2×C4×D61—44no—
177C2×C4×D61C22⋊C411yescharacteristic
178C2×C4×D61C22⋊C411yescharacteristic
179C2×C4×D61C22⋊C411yescharacteristic
180C2×C4×D61C22⋊C411yescharacteristic
181C2×C4×D61C22⋊C411yescharacteristic
182C2×C4×D61C22⋊C411yescharacteristic
183C2×C4×D61C22×C411yescharacteristic
184C2×C4×D61C22×C411yescharacteristic
185C2×C4×D61C22×C411yescharacteristic
186C2×C4×D61C2×D411yescharacteristic
187C2×C4×D61C2×D411yescharacteristic
188C2×C4×D61C2×D411yescharacteristic
189C2×C4×D61C2×D411yescharacteristic
190C2×C4×D61C2×D411yescharacteristic
191C2×C4×D61C2×D411yescharacteristic
192C2×C4×D61#4118yes—
193C2×C4×D61C2411yescharacteristic
194C22⋊#6923—44no—
195C22⋊#6923—44no—
196C22⋊#6923—44no—
197C2×#92420—24no—
198C2×#92420—44no—
199C4⋊#6923—44no—
200C4×#6923—28no—
201#11758213—28no—
202#11758213—44no—
203C4⋊C4×C61—21no—
204C4⋊C4×C61—21no—
205C4⋊C4×C61C22×C412yes—
206C4⋊C4×C61C22×C412yes—
207C22⋊C4×C61—22no—
208C22⋊C4×C61—22no—
209C42×C61—22no—
210C42×C61—22no—
211C22⋊Dic61—22no—
212C22⋊Dic61—22no—
213#11758198—22no—
214#11758198—22no—
215#11758198—22no—
216#11758198—22no—
217C4⋊Dic61—21no—
218C4⋊Dic61—21no—
219C4⋊Dic61C22×C412yes—
220C4⋊Dic61C22×C412yes—
221#11758196—22no—
222#11758196—22no—
223#11758196—22no—
224#11758196—22no—
225C4×Dic61—22no—
226C4×Dic61—22no—
227C4×Dic61—22no—
228C4×Dic61—22no—
229C4×Dic61—22no—
230C4×Dic61—22no—
231C23×C61—22no—
232C23×C61—22no—
233C23×C61—41no—
234C23×C61C2×C22⋊C411yescharacteristic
235C23×C61C2×C22⋊C411yescharacteristic
236C23×C61C2×C22⋊C411yescharacteristic
237C22×D61—22no—
238C22×D61—22no—
239C22×D61—22no—
240C22×D61—22no—
241C22×D61—22no—
242C22×D61—22no—
243C22×D61—22no—
244C22×D61—22no—
245C22×D61—22no—
246C22×D61—22no—
247C22×D61—41no—
248C22×D61—41no—
249C22×D61—41no—
250C22×D61—41no—
251C22×D61—41no—
252C22×D61—41no—
253C22×D61—41no—
254C22×D61—416no—
255C22×D61C2×C22⋊C411yescharacteristic
256C22×D61C2×C22⋊C411yescharacteristic
257C22×D61C2×C22⋊C411yescharacteristic
258C22×D61#12314yes—
259C22×D61C22×D411yescharacteristic
260C2×#6923—44no—
261C2×#6923—44no—
262C2×#6923—44no—
263C2×C4×C61—22no—
264C2×C4×C61—22no—
265C2×C4×C61—22no—
266C2×C4×C61—22no—
267C2×C4×C61—22no—
268C2×C4×C61—22no—
269C2×C4×C61—22no—
270C2×C4×C61—42no—
271C2×C4×C61—42no—
272C2×C4×C61C2×C22⋊C411yescharacteristic
273C2×C4×C61C2×C22⋊C411yescharacteristic
274C2×C4×C61C2×C22⋊C411yescharacteristic
275C2×C4×C61#11714yes—
276C2×C4×C61C23×C411yescharacteristic
277C2×Dic61—22no—
278C2×Dic61—22no—
279C2×Dic61—22no—
280C2×Dic61—22no—
281C2×Dic61—22no—
282C2×Dic61—22no—
283C2×Dic61—22no—
284C2×Dic61—42no—
285C2×Dic61—42no—
286C2×Dic61C2×C22⋊C411yescharacteristic
287C2×Dic61C2×C22⋊C411yescharacteristic
288C2×Dic61C2×C22⋊C411yescharacteristic
289C2×Dic61#12314yes—
290C2×Dic61C22×D411yescharacteristic
291C4×D61—22no—
292C4×D61—22no—
293C4×D61—22no—
294C4×D61—22no—
295C4×D61—22no—
296C4×D61—22no—
297C4×D61—22no—
298C4×D61—22no—
299C4×D61—22no—
300C4×D61—22no—
301C4×D61—22no—
302C4×D61—22no—
303C4×D61—44no—
304C4×D61—44no—
305C4×D61—44no—
306C4×D61—44no—
307C4×D61#11714yes—
308C4×D61#12314yes—
309C4×D61#12314yes—
310C4×D61C2×#4114yes—
311#92420—44no—
312#20705—611nomaximal, Sylow
313C22×C61—21no—
314C22×C61—21no—
315C22×C61—21no—
316C22×C61—21no—
317C22×C61—21no—
318C22×C61—21no—
319C22×C61—21no—
320C22×C61—44no—
321C22×C61#38112yes—
322C22×C61#42112yes—
323C22×C61C22×C22⋊C411yescharacteristic
324C2×D61—28no—
325C2×D61—21no—
326C2×D61—21no—
327C2×D61—21no—
328C2×D61—21no—
329C2×D61—21no—
330C2×D61—21no—
331C2×D61—21no—
332C2×D61—21no—
333C2×D61—21no—
334C2×D61—44no—
335C2×D61—44no—
336C2×D61—44no—
337C2×D61—44no—
338C2×D61—44no—
339C2×D61#38112yes—
340C2×D61#42112yes—
341C2×D61C2×#12312yes—
342#6923—84no—
343C4×C61—21no—
344C4×C61—21no—
345C4×C61—42no—
346C4×C61—42no—
347C4×C61#38112yes—
348C4×C61C2×#11712yes—
349Dic61—21no—
350Dic61—21no—
351Dic61—42no—
352Dic61—42no—
353Dic61#38112yes—
354Dic61C2×#12312yes—
355C22×#117—611no—
356C2×#407—611no—
357#2280—611no—
358#1826—612no—
359#1826—612no—
360#1826—614no—
361#1733—614no—
362C2×C61—22no—
363C2×C61—22no—
364C2×C61—41no—
365C2×C61C2×#38111yescharacteristic
366C2×C61C2×#42111yescharacteristic
367C2×C61C2×#42111yescharacteristic
368D61—22no—
369D61—22no—
370D61—22no—
371D61—41no—
372C24×C4—611no—
373C22×M16—612no—
374C2×#117—612no—
375C2×#117—611no—
376C2×#117—612no—
377C2×#117—612no—
378C2×#117—612no—
379C2×#117—612no—
380C2×#117—611no—
381C2×#117—611no—
382C2×#117—1221no—
383C2×#117—1221no—
384C2×#117—1221no—
385C2×#117—1221no—
386C2×#117—1221no—
387C2×#117—1221no—
388C2×#117#692311yescharacteristic, complemented
389C22×C4⋊C4—611no—
390C22×C4⋊C4—611no—
391C22×C22⋊C4—1221no—
392C22×C42—1221no—
393#407—612no—
394#407—612no—
395#407—1221no—
396#407—1221no—
397C2×C22⋊C8—1221no—
398C2×C22⋊C8—1221no—
399#381—1221no—
400#380—1221no—
401#380—1221no—
402#379—1221no—
403C4×C22⋊C4—612no—
404C4×C22⋊C4—612no—
405#339—618no—
406#339—618no—
407C61#2070511yescharacteristic, complemented, Sylow
408C25—611no—
409C23×C4—611no—
410C23×C4—611no—
411C23×C4—611no—
412C23×C4—611no—
413C23×C4—611no—
414C23×C4—611no—
415C23×C4—611no—
416C23×C4—611no—
417C23×C4—611no—
418C23×C4—611no—
419C23×C4—611no—
420C23×C4—611no—
421C23×C4—611no—
422C23×C4—1228no—
423C23×C4—1221no—
424C23×C4—1221no—
425C23×C4C2×#692311yescharacteristic
426C2×M16—614no—
427C2×M16—1222no—
428C2×M16—1228no—
429C22×C8—1222no—
430#117—21no—
431#117—21no—
432#117—612no—
433#117—612no—
434#117—612no—
435#117—612no—
436#117—612no—
437#117—612no—
438#117—1222no—
439#117—1222no—
440#117—1222no—
441#117—1222no—
442#117—1222no—
443#117—1222no—
444#117—1222no—
445#117—1222no—
446#117—1221no—
447#117—1221no—
448#117—1221no—
449#117—1221no—
450#117—1221no—
451#117—1221no—
452#117—1228no—
453#117C2×#692312yes—
454#117C2×#692312yes—
455C2×C4⋊C4—611no—
456C2×C4⋊C4—611no—
457C2×C4⋊C4—612no—
458C2×C4⋊C4—612no—
459C2×C4⋊C4—612no—
460C2×C4⋊C4—612no—
461C2×C4⋊C4—1221no—
462C2×C4⋊C4—1221no—
463C2×C4⋊C4—1221no—
464C2×C4⋊C4—1221no—
465C2×C4⋊C4—1221no—
466C2×C4⋊C4—1221no—
467C2×C4⋊C4—1222no—
468C2×C4⋊C4C2×#692311yescharacteristic
469C2×C4⋊C4C2×#692311yescharacteristic
470C2×C22⋊C4—21no—
471C2×C22⋊C4—1222no—
472C2×C22⋊C4—1222no—
473C2×C22⋊C4—1222no—
474C2×C22⋊C4—1222no—
475C2×C22⋊C4—1221no—
476C2×C22⋊C4—1221no—
477C2×C22⋊C4—1221no—
478C2×C22⋊C4—1222no—
479C2×C22⋊C4—1222no—
480C2×C22⋊C4—1222no—
481C2×C42—21no—
482C2×C42—614no—
483C2×C42—1222no—
484C2×C42—1222no—
485C2×C42—1222no—
486C2×C42—1222no—
487C2×C42—1221no—
488C2×C42—1221no—
489C2×C42—1221no—
490C22⋊C8—1222no—
491C22⋊C8—1222no—
492C22⋊C8—1222no—
493C22⋊C8—1222no—
494#95—1222no—
495#95—1222no—
496C24—611no—
497C24—611no—
498C24—611no—
499C24—611no—
500C24—611no—
501C24—611no—
502C24—1224no—
503C24—2442no—
504C24—2442no—
505C24C22⋊#692311yescharacteristic
506C22×C4—24no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—611no—
510C22×C4—611no—
511C22×C4—611no—
512C22×C4—618no—
513C22×C4—611no—
514C22×C4—611no—
515C22×C4—611no—
516C22×C4—611no—
517C22×C4—611no—
518C22×C4—611no—
519C22×C4—611no—
520C22×C4—611no—
521C22×C4—611no—
522C22×C4—611no—
523C22×C4—611no—
524C22×C4—611no—
525C22×C4—611no—
526C22×C4—611no—
527C22×C4—611no—
528C22×C4—611no—
529C22×C4—611no—
530C22×C4—611no—
531C22×C4—611no—
532C22×C4—1224no—
533C22×C4—1224no—
534C22×C4—1224no—
535C22×C4—1224no—
536C22×C4—1224no—
537C22×C4—1224no—
538C22×C4—1224no—
539C22×C4—1224no—
540C22×C4—1224no—
541C22×C4—1224no—
542C22×C4—1222no—
543C22×C4—1222no—
544C22×C4—1222no—
545C22×C4—1222no—
546C22×C4—1224no—
547C22×C4—1224no—
548C22×C4—1221no—
549C22×C4—1221no—
550C22×C4—1224no—
551C22×C4—2444no—
552C22×C4—2444no—
553C22×C4C22⋊#692311yescharacteristic
554C22×C4C22⋊#692311yescharacteristic
555C22×C4C22⋊#692311yescharacteristic
556C22×C4C22×#692311yescharacteristic
557C22×C4C22×#692311yescharacteristic
558C22×C4C22×#692311yescharacteristic
559M16—1228no—
560M16—2444no—
561C2×C8—1224no—
562C2×C8—2444no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—612no—
566C4⋊C4—612no—
567C4⋊C4—1222no—
568C4⋊C4—1222no—
569C4⋊C4—1222no—
570C4⋊C4—1222no—
571C4⋊C4—1221no—
572C4⋊C4—1221no—
573C4⋊C4—2444no—
574C4⋊C4C22×#692312yes—
575C4⋊C4C22×#692312yes—
576C22⋊C4—22no—
577C22⋊C4—22no—
578C22⋊C4—1222no—
579C22⋊C4—1222no—
580C22⋊C4—1222no—
581C22⋊C4—1222no—
582C22⋊C4—1222no—
583C22⋊C4—1222no—
584C22⋊C4—2444no—
585C22⋊C4—2444no—
586C22⋊C4—2444no—
587C42—22no—
588C42—22no—
589C42—1222no—
590C42—1222no—
591C42—1222no—
592C42—1222no—
593C42—1228no—
594C42—1222no—
595C42—1222no—
596C23—22no—
597C23—22no—
598C23—41no—
599C23—611no—
600C23—611no—
601C23—611no—
602C23—614no—
603C23—611no—
604C23—1222no—
605C23—1222no—
606C23—1222no—
607C23—1222no—
608C23—1222no—
609C23—1222no—
610C23—1222no—
611C23—1222no—
612C23—1222no—
613C23—1222no—
614C23—2441no—
615C23—2441no—
616C23—2441no—
617C23—2441no—
618C23—2441no—
619C23—2441no—
620C23—2441no—
621C23—24416no—
622C23C2×C22⋊#692311yescharacteristic
623C23C2×C22⋊#692311yescharacteristic
624C23C2×C22⋊#692311yescharacteristic
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—614no—
635C2×C4—611no—
636C2×C4—611no—
637C2×C4—614no—
638C2×C4—614no—
639C2×C4—614no—
640C2×C4—614no—
641C2×C4—611no—
642C2×C4—611no—
643C2×C4—1222no—
644C2×C4—1222no—
645C2×C4—1222no—
646C2×C4—1222no—
647C2×C4—1222no—
648C2×C4—1222no—
649C2×C4—1222no—
650C2×C4—1222no—
651C2×C4—1222no—
652C2×C4—1222no—
653C2×C4—1222no—
654C2×C4—1222no—
655C2×C4—1222no—
656C2×C4—1222no—
657C2×C4—1222no—
658C2×C4—1222no—
659C2×C4—1222no—
660C2×C4—1222no—
661C2×C4—1222no—
662C2×C4—2444no—
663C2×C4—2444no—
664C2×C4—2444no—
665C2×C4—2444no—
666C2×C4—2444no—
667C2×C4—2444no—
668C2×C4—2444no—
669C2×C4—2442no—
670C2×C4—2442no—
671C2×C4C2×C22⋊#692311yescharacteristic
672C2×C4C2×C22⋊#692311yescharacteristic
673C2×C4C2×C22⋊#692311yescharacteristic
674C2×C4#1451985614yes—
675C2×C4C23×#692311yescharacteristic
676C8—2444no—
677C22—21no—
678C22—21no—
679C22—21no—
680C22—21no—
681C22—21no—
682C22—21no—
683C22—21no—
684C22—44no—
685C22—612no—
686C22—612no—
687C22—612no—
688C22—1228no—
689C22—1221no—
690C22—1221no—
691C22—1221no—
692C22—1221no—
693C22—1221no—
694C22—1221no—
695C22—1221no—
696C22—1221no—
697C22—1221no—
698C22—2444no—
699C22—2444no—
700C22—2444no—
701C22—2444no—
702C22—2444no—
703C22#1684070512yes—
704C22#1684075912yes—
705C22C22×C22⋊#692311yescharacteristic
706C4—21no—
707C4—21no—
708C4—42no—
709C4—42no—
710C4—612no—
711C4—612no—
712C4—1221no—
713C4—1221no—
714C4—4884no—
715C4—2442no—
716C4—2442no—
717C4#1684070512yes—
718C4C2×#1451985612yes—
719C2—22no—
720C2—22no—
721C2—41no—
722C2—1222no—
723C2—1222no—
724C2—1222no—
725C2—2441no—
726C2C2×#1684070511yescharacteristic
727C2D61⋊#42111yescharacteristic
728C2C2×#1684075911yescharacteristic
subgroupG/H
centerC22C22×C22⋊#6923
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC2×#117×C61C4
socleC22×C61C22×C22⋊C4
prime radicalC24×D61D4
cosocleC2×C4×D61C24
hypercenterC2×#117#6923
hypocenterC61#20705
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#117

Complements

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

NH ≅ G/Ntype
3. #21461727C2semidirect
4. #21461726C2semidirect
5. #21461725C2semidirect
6. #21461499C2semidirect
22. #16840632C22semidirect
23. #16840632C22semidirect
25. C2×#14519736C4semidirect
34. #117×D61C4semidirect
35. #117×D61C4semidirect
38. C2×C4⋊C4×D61C4semidirect
39. C2×C4⋊C4×D61C4semidirect
42. C2×#117×C61C4semidirect
388. C2×#117#6923semidirect
407. C61#20705semidirect

Maximal subgroups

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

subgroupindex
C2×#168407332
#214622632
#214617272
#214617262
#214617252
#214614992
C2×#117×D612
#2070561