Finite Group Databasebeta

← #30620437

Subgroups — #30620437

Order 15616.

1110 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D61⋊#446C211yesmaximal, characteristic, complemented
2Q8×C4⋊#6923C211yesmaximal, characteristic, complemented
3#21462002C212yesmaximal, complemented
4#21462000C211yesmaximal, characteristic, complemented
5#21461999C212yesmaximal, complemented
6#21461997C211yesmaximal, characteristic, complemented
7#21461687C211yesmaximal, characteristic
8#21461687C212yesmaximal
9#21461589C212yesmaximal
10C4×#14519839C211yesmaximal, characteristic
11#554×D61C211yesmaximal, characteristic
12C2×Q8×#6923—21no—
13#16840814—22no—
14#16840813—21no—
15#16840812—21no—
16D61⋊(C4⋊C8)C2211yescharacteristic
17D61⋊(C4⋊C8)C2212yes—
18C2×#14519839C2211yescharacteristic
19C2×#14519839C2212yes—
20C2×#14519839C2211yescharacteristic
21#16840721C2212yes—
22C4×D61⋊C8C2211yescharacteristic
23#16840713—21no—
24#16840713—22no—
25#16840708C2211yescharacteristic
26#16840708C2212yes—
27C4×C4⋊#6923C2211yescharacteristic
28C4×C4⋊#6923C2212yes—
29#16840635C2211yescharacteristic
30#16840635C2211yescharacteristic
31#16840635C2212yes—
32#16840635C2212yes—
33#16840635C2212yes—
34#16840635C2212yes—
35#16840635C2212yes—
36#16840473C411yescharacteristic, complemented
37#16840472C411yescharacteristic, complemented
38#16840471C412yescomplemented
39#16840470—21no—
40#16840469C411yescharacteristic, complemented
41#16840468C412yescomplemented
42#16840467—21no—
43#16840466—22no—
44C4⋊Q8×D61C2211yescharacteristic
45#125×D61C2212yes—
46C22⋊Q8×D61—22no—
47C22⋊Q8×D61—21no—
48C4×Q8×D61C2211yescharacteristic
49C4×D4×D61C2211yescharacteristic
50C4×D4×D61C2212yes—
51C2×C4⋊C4×D61—21no—
52C61×#554C411yescharacteristic, complemented
53C2×D61⋊C8C2311yescharacteristic
54C2×D61⋊C8C2312yes—
55C2×D61⋊C8C2311yescharacteristic
56Q8×#6923—44no—
57C2×C4⋊#6923—22no—
58C2×C4⋊#6923—21no—
59C2×C4⋊#6923—22no—
60C2×C4⋊#6923—21no—
61C2×C4⋊#6923C2312yes—
62C2×C4⋊#6923C2311yescharacteristic
63C2×C4⋊#6923C2311yescharacteristic
64C2×C4×#6923—22no—
65C2×C4×#6923—21no—
66#14519844—22no—
67#14519844—21no—
68C4⋊#92420—21no—
69C4⋊#92420—22no—
70#14519839—22no—
71#14519839—24no—
72#14519839Q814yescomplemented
73#14519832—22no—
74#14519832—22no—
75C4×#92420—21no—
76C4×#92420—21no—
77(C2×#6923)⋊C4—22no—
78(C2×#6923)⋊C4—21no—
79C2×Q8×D61—21no—
80C2×Q8×D61D411yescharacteristic
81C2×D4×D61C2311yescharacteristic
82C22×C4×D61—21no—
83C22×C4×D61—22no—
84#14519777C2×C411yescharacteristic
85#14519776—21no—
86#14519776C2×C412yes—
87#14519775—21no—
88#14519769C2×C412yes—
89#14519768C2×C412yes—
90#14519768C2×C412yes—
91#14519767—22no—
92#14519767—22no—
93#14519757—21no—
94#14519757—22no—
95#14519756—21no—
96#14519756—22no—
97#14519755—22no—
98#14519755—22no—
99#14519755—22no—
100#14519754—22no—
101#14519754—22no—
102#14519754—22no—
103#14519753—21no—
104#14519753—22no—
105Q8×Dic61D411yescharacteristic
106C4×Dic122C2×C412yes—
107C4×Dic122C2×C411yescharacteristic
108#14519742D412yes—
109#14519742D411yescharacteristic
110C4×D244C2×C412yes—
111C4×D244C2×C411yescharacteristic
112D4×Dic61C2×C412yes—
113D4×Dic61C2×C411yescharacteristic
114#14519739C2×C411yescharacteristic
115#14519739C2×C412yes—
116C4×C22⋊D61—22no—
117C4×C22⋊D61—21no—
118#14519737—21no—
119#14519737—22no—
120C2×C4⋊Dic61—21no—
121C2×#11758196—22no—
122C4⋊C4×D61—22no—
123C4⋊C4×D61—21no—
124C4⋊C4×D61—22no—
125C4⋊C4×D61—21no—
126C4⋊C4×D61—21no—
127C4⋊C4×D61—22no—
128C4⋊C4×D61D411yescharacteristic
129C4⋊C4×D61D412yes—
130C4⋊C4×D61C2311yescharacteristic
131C4⋊C4×D61C2312yes—
132C22⋊C4×D61—21no—
133C22⋊C4×D61—22no—
134C42×D61C2311yescharacteristic
135C42×D61C2312yes—
136C4⋊Q8×C61C2×C411yescharacteristic
137#125×C61C2×C412yes—
138C22⋊Q8×C61—21no—
139C22⋊Q8×C61—22no—
140C4×Q8×C61C2×C411yescharacteristic
141C4×D4×C61C2×C411yescharacteristic
142C4×D4×C61C2×C412yes—
143C2×C4⋊C4×C61—21no—
144C23×D61—21no—
145C22×#6923—21no—
146C22×#6923—22no—
147C22×#6923—21no—
148C2×Q8×C61—21no—
149C2×Q8×C61C22⋊C411yescharacteristic
150C2×D4×C61C22×C411yescharacteristic
151C22×C4×C61—21no—
152C22×C4×C61—22no—
153C2×C22⋊D61—21no—
154C22×Dic61—21no—
155C22×Dic61—22no—
156Q8×D61—22no—
157Q8×D61—22no—
158Q8×D61—81no—
159Q8×D61—81no—
160D4×D61—21no—
161D4×D61—21no—
162D4×D61C2×Q812yes—
163D4×D61#4112yes—
164C2×D244C22×C411yescharacteristic
165C2×C4×D61—22no—
166C2×C4×D61—21no—
167C2×C4×D61—21no—
168C2×C4×D61—21no—
169C2×C4×D61—22no—
170C2×C4×D61—22no—
171C2×C4×D61—42no—
172C2×C4×D61—42no—
173C2×C4×D61—82no—
174C2×C4×D61—82no—
175C2×C4×D61C2×D412yes—
176C2×C4×D61C2×D411yescharacteristic
177C2×C4×D61C2×D412yes—
178C2×C4×D61C2×D411yescharacteristic
179C2×C4×D61C2411yescharacteristic
180C2×Dic122—21no—
181C2×Dic122—22no—
182C2×Dic122C22⋊C412yes—
183C2×Dic122C22⋊C411yescharacteristic
184C2×#92420—21no—
185C2×#92420—21no—
186C2×#92420—22no—
187C4⋊#6923—21no—
188C4⋊#6923—22no—
189C4⋊#6923—21no—
190C4⋊#6923—22no—
191C4⋊#6923—21no—
192C4⋊#6923—44no—
193C4⋊#6923—42no—
194C4⋊#6923—82no—
195C4⋊#6923—81no—
196C4⋊#6923C2×Q812yes—
197C4×#6923—44no—
198C4×#6923—42no—
199D61⋊C8—21no—
200D61⋊C8—21no—
201D61⋊C8—22no—
202D61⋊C8—21no—
203D61⋊C8—22no—
204D61⋊C8C2×Q812yes—
205C4⋊C4×C61—22no—
206C4⋊C4×C61—21no—
207C4⋊C4×C61—22no—
208C4⋊C4×C61C22⋊C411yescharacteristic
209C4⋊C4×C61C22⋊C412yes—
210C4⋊C4×C61C22×C411yescharacteristic
211C4⋊C4×C61C22×C412yes—
212C22⋊C4×C61—21no—
213C22⋊C4×C61—22no—
214C42×C61C22×C412yes—
215C42×C61C22×C411yescharacteristic
216C22⋊Dic61—21no—
217C22⋊Dic61—22no—
218#11758198—21no—
219#11758198—22no—
220#11758198—22no—
221#11758198—21no—
222C4⋊Dic61—21no—
223C4⋊Dic61—22no—
224C4⋊Dic61—22no—
225C4⋊Dic61C22⋊C411yescharacteristic
226C4⋊Dic61C22⋊C412yes—
227C4⋊Dic61C22×C411yescharacteristic
228C4⋊Dic61C22×C412yes—
229#11758196—22no—
230#11758196—22no—
231#11758196—22no—
232#11758196—22no—
233#11758196—22no—
234#11758196—21no—
235#11758196—22no—
236#11758196C22⋊C412yes—
237#11758196C22⋊C412yes—
238#11758196C22⋊C412yes—
239C4×Dic61C22×C412yes—
240C4×Dic61C22×C411yescharacteristic
241C4×Dic61C2×D411yescharacteristic
242C4×Dic61C2×D411yescharacteristic
243C4×Dic61C2×D412yes—
244C4×Dic61C2×D412yes—
245C23×C61—21no—
246C22×D61—21no—
247C22×D61—22no—
248C22×D61—22no—
249C22×D61—41no—
250C22×D61—41no—
251C22×D61—41no—
252C22×D61—41no—
253C22×D61C22×D411yescharacteristic
254C2×#6923—22no—
255C2×#6923—41no—
256C2×#6923—41no—
257C2×#6923—42no—
258C2×#6923—41no—
259C2×#6923—42no—
260C2×#6923—41no—
261C2×#6923—41no—
262C2×#6923—42no—
263Q8×C61—22no—
264Q8×C61—81no—
265D4×C61—21no—
266D4×C61C4×Q812yescomplemented
267C2×C4×C61—21no—
268C2×C4×C61—22no—
269C2×C4×C61—42no—
270C2×C4×C61—82no—
271C2×C4×C61C2×C22⋊C412yes—
272C2×C4×C61C2×C22⋊C412yes—
273C2×C4×C61C2×C22⋊C411yescharacteristic
274C2×C4×C61C2×C22⋊C411yescharacteristic
275C2×C4×C61C23×C411yescharacteristic
276C22⋊D61—22no—
277C22⋊D61—22no—
278C2×Dic61—21no—
279C2×Dic61—22no—
280C2×Dic61—42no—
281C2×Dic61—82no—
282C2×Dic61C2×C22⋊C412yes—
283C2×Dic61C2×C22⋊C412yes—
284C2×Dic61C2×C22⋊C411yescharacteristic
285C2×Dic61C2×C22⋊C411yescharacteristic
286C2×Dic61C22×D411yescharacteristic
287D244—21no—
288D244C4×Q812yescomplemented
289C4×D61—22no—
290C4×D61—22no—
291C4×D61—22no—
292C4×D61—21no—
293C4×D61—22no—
294C4×D61—21no—
295C4×D61—41no—
296C4×D61—41no—
297C4×D61—42no—
298C4×D61—42no—
299C4×D61—42no—
300C4×D61—42no—
301C4×D61—82no—
302C4×D61—82no—
303C4×D61AGL(1,ℤ/8)12yes—
304C4×D61#13712yes—
305C4×D61C22×Q811yescharacteristic
306C4×D61C2×#4111yescharacteristic
307C4×D612−1+411yescharacteristic
308C4×D612−1+411yescharacteristic
309Dic122—22no—
310Dic122—24no—
311Dic122—82no—
312Dic122—81no—
313#92420—22no—
314#92420—41no—
315#92420—42no—
316#22522—611nomaximal, Sylow
317C22×C61—22no—
318C22×C61—41no—
319C22×C61—41no—
320C22×C61C22×C22⋊C411yescharacteristic
321C2×D61—22no—
322C2×D61—41no—
323C2×D61—41no—
324C2×D61—42no—
325C2×D61—42no—
326C2×D61—42no—
327C2×D61—42no—
328C2×D61#54811yescharacteristic
329C2×D61D4×Q811yescharacteristic
330C2×D61C2×AGL(1,ℤ/8)11yescharacteristic
331C2×D61C2×#13711yescharacteristic
332C2×D61#57611yescharacteristic
333C2×D61#57711yescharacteristic
334#6923—42no—
335#6923—82no—
336#6923—81no—
337C4×C61—22no—
338C4×C61—21no—
339C4×C61—22no—
340C4×C61—41no—
341C4×C61—42no—
342C4×C61#41712yes—
343C4×C61C2×C4×Q811yescharacteristic
344C4×C61#51911yescharacteristic
345Dic61—22no—
346Dic61—21no—
347Dic61—22no—
348Dic61—41no—
349Dic61—42no—
350Dic61#41712yes—
351Dic61#54811yescharacteristic
352Dic61D4×Q811yescharacteristic
353C2×#554—611no—
354C2×#446—611no—
355Q8×C4⋊C4—611no—
356#1992—612no—
357#1990—611no—
358#1989—612no—
359#1987—611no—
360#1802—611no—
361#1802—612no—
362#1762—612no—
363C4×#102—611no—
364C2×C61—42no—
365C2×C61Q8×C22⋊C411yescharacteristic
366C2×C61C2×#41711yescharacteristic
367C2×C61#289711yescharacteristic
368D61—42no—
369D61#336611yescharacteristic
370D61#337211yescharacteristic
371D61#338411yescharacteristic
372D61#338511yescharacteristic
373#554—611no—
374#554—612no—
375#554—611no—
376#554—611no—
377#554—612no—
378#554—1221no—
379#554—1222no—
380#554—1221no—
381#554#692311yescharacteristic, complemented
382C2×C4⋊Q8—611no—
383C2×#125—612no—
384C2×C22⋊Q8—1222no—
385C2×C22⋊Q8—1221no—
386C2×C4×Q8—611no—
387C2×C4×Q8—1221no—
388C2×C4×D4—611no—
389C2×C4×D4—612no—
390C22×C4⋊C4—1221no—
391#446—1221no—
392#446—1221no—
393#446—1222no—
394C2×C4⋊C8—611no—
395C2×C4⋊C8—612no—
396C2×#102—611no—
397C2×#102—611no—
398C2×#102—612no—
399C2×#97—612no—
400C2×C4×C8—611no—
401#389—1221no—
402#389—1222no—
403#384—611no—
404#384—612no—
405C4×C4⋊C4—611no—
406C4×C4⋊C4—612no—
407#340—612no—
408#340—612no—
409#340—612no—
410#340—612no—
411#340—611no—
412#340—612no—
413#340—611no—
414C61#2252211yescharacteristic, complemented, Sylow
415C22×Q8—611no—
416C22×Q8—1221no—
417C22×D4—611no—
418C23×C4—1222no—
419C23×C4—1221no—
420C22×C8—611no—
421C22×C8—611no—
422C22×C8—612no—
423C4⋊Q8—612no—
424C4⋊Q8—611no—
425C4⋊Q8—1221no—
426C4⋊Q8—1221no—
427C4⋊Q8C2×#692311yescharacteristic
428#125—612no—
429#125—612no—
430#125—612no—
431#125—1222no—
432#125—1222no—
433#125C2×#692312yes—
434C22⋊Q8—21no—
435C22⋊Q8—22no—
436C22⋊Q8—1222no—
437C22⋊Q8—1222no—
438C22⋊Q8—1222no—
439C22⋊Q8—1222no—
440C22⋊Q8—1222no—
441C22⋊Q8—1222no—
442C22⋊Q8—1221no—
443C22⋊Q8—1222no—
444C22⋊Q8—1222no—
445C22⋊Q8—1221no—
446C22⋊Q8—1221no—
447C22⋊Q8—1222no—
448C4×Q8—611no—
449C4×Q8—612no—
450C4×Q8—611no—
451C4×Q8—611no—
452C4×Q8—612no—
453C4×Q8—2444no—
454C4×Q8C2×#692311yescharacteristic
455C4×D4—612no—
456C4×D4—611no—
457C4×D4—612no—
458C4×D4—611no—
459C4×D4—612no—
460C4×D4—611no—
461C4×D4—1221no—
462C4×D4—1222no—
463C4×D4—1221no—
464C4×D4—1222no—
465C4×D4C2×#692312yes—
466C4×D4C2×#692311yescharacteristic
467C2×C4⋊C4—21no—
468C2×C4⋊C4—611no—
469C2×C4⋊C4—612no—
470C2×C4⋊C4—611no—
471C2×C4⋊C4—611no—
472C2×C4⋊C4—612no—
473C2×C4⋊C4—611no—
474C2×C4⋊C4—612no—
475C2×C4⋊C4—1222no—
476C2×C4⋊C4—1221no—
477C2×C4⋊C4—1222no—
478C2×C4⋊C4—1221no—
479C2×C4⋊C4—1222no—
480C2×C4⋊C4—1222no—
481C2×C4⋊C4—1221no—
482C2×C4⋊C4—1221no—
483C2×C4⋊C4—1221no—
484C2×C4⋊C4—1222no—
485C2×C4⋊C4—1221no—
486C2×C4⋊C4—1222no—
487C2×C22⋊C4—1221no—
488C2×C22⋊C4—1222no—
489C2×C42—612no—
490C2×C42—611no—
491C2×C42—1221no—
492C2×C42—1222no—
493C4⋊C8—1221no—
494C4⋊C8—1222no—
495C4⋊C8—1221no—
496C4⋊C8—1222no—
497#102—614no—
498#102—1222no—
499#102—1224no—
500#97—1222no—
501#97—1222no—
502C4×C8—1221no—
503C4×C8—1221no—
504#95—1221no—
505#95—1222no—
506C24—1221no—
507C2×Q8—21no—
508C2×Q8—612no—
509C2×Q8—611no—
510C2×Q8—1222no—
511C2×Q8—1222no—
512C2×Q8—1222no—
513C2×Q8—1221no—
514C2×Q8—4881no—
515C2×Q8—4881no—
516C2×Q8C22⋊#692311yescharacteristic
517C2×D4—612no—
518C2×D4—612no—
519C2×D4—611no—
520C2×D4—1221no—
521C2×D4—1221no—
522C2×D4—1221no—
523C2×D4C22×#692311yescharacteristic
524C22×C4—21no—
525C22×C4—22no—
526C22×C4—611no—
527C22×C4—611no—
528C22×C4—611no—
529C22×C4—612no—
530C22×C4—612no—
531C22×C4—1222no—
532C22×C4—1221no—
533C22×C4—1221no—
534C22×C4—1222no—
535C22×C4—1222no—
536C22×C4—1221no—
537C22×C4—1221no—
538C22×C4—1222no—
539C22×C4—1221no—
540C22×C4—1221no—
541C22×C4—1222no—
542C22×C4—4882no—
543C22×C4—4882no—
544C22×C4—2442no—
545C22×C4—2442no—
546C2×C8—612no—
547C2×C8—1221no—
548C2×C8—1221no—
549C2×C8—1221no—
550C2×C8—1222no—
551C2×C8—1221no—
552C2×C8—1222no—
553C2×C8—1221no—
554C2×C8—1222no—
555C4⋊C4—22no—
556C4⋊C4—21no—
557C4⋊C4—22no—
558C4⋊C4—612no—
559C4⋊C4—611no—
560C4⋊C4—612no—
561C4⋊C4—612no—
562C4⋊C4—612no—
563C4⋊C4—612no—
564C4⋊C4—611no—
565C4⋊C4—612no—
566C4⋊C4—1221no—
567C4⋊C4—1222no—
568C4⋊C4—1222no—
569C4⋊C4—1222no—
570C4⋊C4—1222no—
571C4⋊C4—1222no—
572C4⋊C4—1222no—
573C4⋊C4—1221no—
574C4⋊C4—1221no—
575C4⋊C4—1222no—
576C4⋊C4—1221no—
577C4⋊C4—1222no—
578C4⋊C4—1222no—
579C4⋊C4—1221no—
580C4⋊C4—1222no—
581C4⋊C4—4882no—
582C4⋊C4—4881no—
583C4⋊C4—2442no—
584C4⋊C4—2444no—
585C4⋊C4C22⋊#692311yescharacteristic
586C4⋊C4C22⋊#692312yes—
587C4⋊C4C22×#692311yescharacteristic
588C4⋊C4C22×#692312yes—
589C22⋊C4—21no—
590C22⋊C4—22no—
591C22⋊C4—1221no—
592C22⋊C4—1222no—
593C22⋊C4—1221no—
594C22⋊C4—1222no—
595C22⋊C4—1221no—
596C22⋊C4—1222no—
597C42—611no—
598C42—611no—
599C42—612no—
600C42—612no—
601C42—612no—
602C42—611no—
603C42—2442no—
604C42—2444no—
605C42C22×#692312yes—
606C42C22×#692311yescharacteristic
607C23—21no—
608C23—611no—
609C23—1222no—
610C23—1222no—
611C23—1221no—
612C23—2441no—
613C23—2441no—
614C23—2441no—
615C23—2441no—
616Q8—22no—
617Q8—81no—
618Q8—1224no—
619Q8—1222no—
620Q8—4881no—
621Q8—4882no—
622D4—21no—
623D4—612no—
624D4—1222no—
625D4—1222no—
626D4—1221no—
627D4Q8×#692312yescomplemented
628C2×C4—21no—
629C2×C4—22no—
630C2×C4—42no—
631C2×C4—82no—
632C2×C4—611no—
633C2×C4—611no—
634C2×C4—612no—
635C2×C4—612no—
636C2×C4—611no—
637C2×C4—611no—
638C2×C4—611no—
639C2×C4—611no—
640C2×C4—611no—
641C2×C4—612no—
642C2×C4—612no—
643C2×C4—1222no—
644C2×C4—1222no—
645C2×C4—1221no—
646C2×C4—1222no—
647C2×C4—1222no—
648C2×C4—1221no—
649C2×C4—1222no—
650C2×C4—1221no—
651C2×C4—1222no—
652C2×C4—4882no—
653C2×C4—4882no—
654C2×C4—4882no—
655C2×C4—2442no—
656C2×C4—2442no—
657C2×C4—2442no—
658C2×C4—2441no—
659C2×C4—2441no—
660C2×C4—2442no—
661C2×C4—2441no—
662C2×C4—2442no—
663C2×C4—2441no—
664C2×C4—2442no—
665C2×C4—2441no—
666C2×C4—2442no—
667C2×C4—2441no—
668C2×C4—2441no—
669C2×C4—2442no—
670C2×C4C2×C22⋊#692312yes—
671C2×C4C2×C22⋊#692311yescharacteristic
672C2×C4C2×C22⋊#692312yes—
673C2×C4C2×C22⋊#692311yescharacteristic
674C2×C4C23×#692311yescharacteristic
675C8—1222no—
676C8—2441no—
677C8—2442no—
678C22—22no—
679C22—41no—
680C22—41no—
681C22—611no—
682C22—611no—
683C22—611no—
684C22—611no—
685C22—611no—
686C22—611no—
687C22—1222no—
688C22—2442no—
689C22—2442no—
690C22—2442no—
691C22—2442no—
692C22—2441no—
693C22—2441no—
694C22C22×C22⋊#692311yescharacteristic
695C4—22no—
696C4—22no—
697C4—21no—
698C4—41no—
699C4—42no—
700C4—611no—
701C4—611no—
702C4—612no—
703C4—1222no—
704C4—1222no—
705C4—1221no—
706C4—4881no—
707C4—4882no—
708C4—2442no—
709C4—2441no—
710C4—2442no—
711C4#1684075312yes—
712C4C2×Q8×#692311yescharacteristic
713C4#1684083011yescharacteristic
714C2—42no—
715C2—611no—
716C2—611no—
717C2—611no—
718C2—611no—
719C2—2442no—
720C2Q8×C22⋊#692311yescharacteristic
721C2C2×#1684075311yescharacteristic
722C2#2146244011yescharacteristic
subgroupG/H
centerC22C22×C22⋊#6923
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC61×#554C4
socleC22×C61C22×C22⋊C4
prime radicalC2×D4×D61C23
cosocleC2×C4×D61C24
hypercenter#554#6923
hypocenterC61#22522
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #554

Complements

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

NH ≅ G/Ntype
1. D61⋊#446C2semidirect
2. Q8×C4⋊#6923C2semidirect
3. #21462002C2semidirect
4. #21462000C2semidirect
5. #21461999C2semidirect
6. #21461997C2semidirect
36. #16840473C4semidirect
37. #16840472C4semidirect
38. #16840471C4semidirect
40. #16840469C4semidirect
41. #16840468C4semidirect
52. C61×#554C4semidirect
72. #14519839Q8semidirect
266. D4×C61C4×Q8semidirect
288. D244C4×Q8semidirect
381. #554#6923semidirect
414. C61#22522semidirect
627. D4Q8×#6923semidirect

Maximal subgroups

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

subgroupindex
D61⋊#4462
Q8×C4⋊#69232
#214620022
#214620002
#214619992
#214619972
#214616872
#214615892
C4×#145198392
#554×D612
#2252261