Finite Group Databasebeta

← #29700297

Subgroups — #29700297

Order 15616.

1118 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839922C211yesmaximal, characteristic
2C2×#16839865C211yesmaximal, characteristic, complemented
3C2×#16839759C211yesmaximal, characteristic
4#21448850C211yesmaximal, characteristic, complemented
5#21448647C211yesmaximal, characteristic
6#21446687C211yesmaximal, characteristic, complemented
7#21446510C211yesmaximal, characteristic, complemented
8#21446458C211yesmaximal, characteristic, complemented
9#21446158C211yesmaximal, characteristic, complemented
10#21446150C211yesmaximal, characteristic, complemented
11#21446081C211yesmaximal, characteristic, complemented
12#21446016C211yesmaximal, characteristic, complemented
13#21445643C211yesmaximal, characteristic, complemented
14#21445595C211yesmaximal, characteristic, complemented
15C61×#1892C211yesmaximal, characteristic, complemented
16C22×#11758222C2211yescharacteristic
17C22×#11758202C2211yescharacteristic
18C22×#11758201C2211yescharacteristic
19C2×Q8×Dic61C2211yescharacteristic
20C2×#14519739C2211yescharacteristic
21C2×#14519739C2211yescharacteristic
22C2×#14519736C2211yescharacteristic
23#16839922C418yescomplemented
24#16839865—24no—
25C2×#14519710C2211yescharacteristic
26C2×#14519708C2211yescharacteristic
27#16839759—24no—
28C2×#14519702C2211yescharacteristic
29C2×#14519702C2211yescharacteristic
30C2×#14519700C2211yescharacteristic
31C2×#14519699C2211yescharacteristic
32C2×#14519699C2211yescharacteristic
33C2×#14519697C2211yescharacteristic
34C2×C22⋊#92418C2211yescharacteristic
35C2×#14519687C2211yescharacteristic
36C2×#14519687C2211yescharacteristic
37#16839669C2211yescharacteristic
38#16839667C2211yescharacteristic
39#16839667C2211yescharacteristic
40#16839661C2211yescharacteristic
41#16839655—21no—
42#16839655—21no—
43#16839648—21no—
44#16839638—21no—
45#16839638—21no—
46#16839624—21no—
47C4⋊C4×Dic61—21no—
48C4⋊C4×Dic61C2211yescharacteristic
49C4×C22⋊Dic61C2211yescharacteristic
50#95×D61—21no—
51#16839524C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839516C2211yescharacteristic
54#16839516C2211yescharacteristic
55C23×C8×C61C2211yescharacteristic
56C2×C22⋊Q8×C61C2211yescharacteristic
57C2×#103×C61C2211yescharacteristic
58C2×#103×C61C2211yescharacteristic
59C61×#380C2211yescharacteristic
60C61×#340C2211yescharacteristic
61C61×#340C2211yescharacteristic
62C2×#11758222—22no—
63C2×#11758222—22no—
64C2×#11758222—22no—
65C2×#11758222—41no—
66C2×#11758222—41no—
67C2×#11758222C2×C414yes—
68C22×Dic122C2311yescharacteristic
69C22×D244C2311yescharacteristic
70C22×C22⋊D61—21no—
71C22×C4×D61—21no—
72C22×C4×D61—21no—
73C22×C4×D61—21no—
74C2×#11758202—41no—
75C2×#11758202—41no—
76C2×#11758202C2×C414yescomplemented
77C2×#11758201—22no—
78C2×#11758201—22no—
79C2×#11758201C2×C414yes—
80C22×#92418C2311yescharacteristic
81C22×#92418C2311yescharacteristic
82Q8×Dic61—22no—
83Q8×Dic61—41no—
84#14519739—22no—
85#14519739—22no—
86#14519739—41no—
87#14519739—41no—
88#14519736—22no—
89#14519736—41no—
90C2×C4⋊Dic61—21no—
91C2×C4⋊Dic61—21no—
92C2×C4⋊Dic61C2311yescharacteristic
93C2×C4⋊Dic61C2311yescharacteristic
94C2×C22⋊Dic61—21no—
95C2×C22⋊Dic61D411yescharacteristic
96C2×C22⋊Dic61D411yescharacteristic
97C2×#11758198—21no—
98C2×#11758198—21no—
99C2×C4×Dic61—21no—
100C2×C4×Dic61—21no—
101C2×C4×Dic61—21no—
102C2×C4×Dic61C2311yescharacteristic
103C2×C4×Dic61C2311yescharacteristic
104#14519710—22no—
105#14519708—41no—
106#14519702—22no—
107#14519702—22no—
108#14519700C2×C414yescomplemented
109#14519699—22no—
110#14519699D414yes—
111#14519697C2×C414yes—
112C22⋊#92418C2×C414yescomplemented
113#14519687—22no—
114#14519687—41no—
115#14519684—21no—
116#14519684—21no—
117#14519684—21no—
118#14519684—21no—
119#14519684—21no—
120#14519684—21no—
121#14519684—21no—
122#14519684—21no—
123#14519684D411yescharacteristic
124#14519684D411yescharacteristic
125C22×Q8×C61C2311yescharacteristic
126C23×C4×C61C2311yescharacteristic
127C22×C8×C61—22no—
128C22×C8×C61—22no—
129C22×C8×C61—41no—
130C22×C8×C61C2311yescharacteristic
131C22×C8×C61C2311yescharacteristic
132C22⋊Q8×C61—22no—
133C22⋊Q8×C61C2×C414yescomplemented
134C2×C4⋊C4×C61—21no—
135C2×C4⋊C4×C61C2311yescharacteristic
136C2×C4⋊C4×C61C2311yescharacteristic
137C2×C4⋊C4×C61C2311yescharacteristic
138C2×C22⋊C4×C61—21no—
139C2×C22⋊C4×C61—21no—
140#103×C61—22no—
141#103×C61—41no—
142#95×C61—21no—
143C24×C61C2×D411yescharacteristic
144C23×D61—21no—
145C2×Q8×C61—21no—
146C2×Q8×C61—21no—
147C2×Q8×C61—21no—
148C2×Q8×C61—21no—
149C2×Q8×C61—21no—
150C2×Q8×C61C22×C412yes—
151C22×C4×C61—21no—
152C22×C4×C61—21no—
153C22×C4×C61—21no—
154C22×C4×C61—21no—
155C22×C4×C61—21no—
156C22×C4×C61—21no—
157C22×C4×C61—21no—
158C22×C4×C61—21no—
159C22×C4×C61C22×C412yes—
160C22×C4×C61C2×D411yescharacteristic
161C22×C4×C61#4112yes—
162C22×C4×C61C2411yescharacteristic
163C2×C22⋊D61—24no—
164C2×C22⋊D61—42no—
165C2×C22⋊D61—42no—
166C22×Dic61—21no—
167C22×Dic61—21no—
168C22×Dic61—21no—
169C22×Dic61C2×D411yescharacteristic
170C22×Dic61C2×D411yescharacteristic
171C22×Dic61C2×D411yescharacteristic
172C22×Dic61C2×D411yescharacteristic
173#11758222—28no—
174#11758222—44no—
175#11758222—44no—
176#11758222—44no—
177C2×D244—21no—
178C2×D244—21no—
179C2×D244—21no—
180C2×D244C22×C412yes—
181C2×D244C2×D412yes—
182C2×D244#4112yes—
183C2×C4×D61—24no—
184C2×C4×D61—42no—
185C2×C4×D61—42no—
186C2×C4×D61—42no—
187C2×C4×D61—42no—
188C2×C4×D61—42no—
189C2×C4×D61—42no—
190C2×C4×D61—81no—
191C2×C4×D61—81no—
192C2×Dic122—21no—
193C2×Dic122—21no—
194C2×Dic122—21no—
195C2×Dic122—21no—
196C2×Dic122—21no—
197C2×Dic122C22×C412yes—
198C2×C8×C61—21no—
199C2×C8×C61—21no—
200C2×C8×C61—21no—
201C2×C8×C61—21no—
202C2×C8×C61—21no—
203C2×C8×C61—44no—
204C2×C8×C61C2×D412yes—
205C4⋊C4×C61—24no—
206C4⋊C4×C61—21no—
207C4⋊C4×C61—21no—
208C4⋊C4×C61—21no—
209C4⋊C4×C61—21no—
210C4⋊C4×C61—21no—
211C4⋊C4×C61C22×C412yes—
212C22⋊C4×C61—24no—
213C22⋊C4×C61—81no—
214C22⋊Dic61—41no—
215C22⋊Dic61—41no—
216C22⋊Dic61—42no—
217#11758202—44no—
218#11758201—28no—
219#11758198—42no—
220#11758198—42no—
221C4⋊Dic61—21no—
222C4⋊Dic61—21no—
223C4⋊Dic61—21no—
224C4⋊Dic61—42no—
225C4⋊Dic61—42no—
226C4⋊Dic61C2×D412yes—
227C4×Dic61—21no—
228C4×Dic61—21no—
229C4×Dic61—21no—
230C4×Dic61—21no—
231C4×Dic61—42no—
232C4×Dic61—42no—
233C4×Dic61—42no—
234C2×#92418—21no—
235C2×#92418—21no—
236C2×#92418—21no—
237C2×#92418—21no—
238C2×#92418C22×C412yes—
239C2×#92418C22×C412yes—
240C23×C61—21no—
241C23×C61—21no—
242C23×C61—21no—
243C23×C61—21no—
244C23×C61—21no—
245C23×C61—21no—
246C23×C61C4×D412yes—
247C23×C61C22×D411yescharacteristic
248C22×D61—22no—
249C22×D61—22no—
250C22×D61—22no—
251C22×D61—41no—
252C22×D61—41no—
253C22×D61—41no—
254C22×D61—41no—
255Q8×C61—22no—
256Q8×C61—22no—
257Q8×C61—41no—
258Q8×C61—41no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—22no—
262C2×C4×C61—22no—
263C2×C4×C61—22no—
264C2×C4×C61—22no—
265C2×C4×C61—22no—
266C2×C4×C61—22no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
269C2×C4×C61—41no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61—41no—
274C2×C4×C61—41no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61C4×D412yes—
278C2×C4×C61C23×C411yescharacteristic
279C2×C4×C61C22×D411yescharacteristic
280C2×C4×C61C2×#4111yescharacteristic
281C2×C4×C61C2×#4111yescharacteristic
282C2×C4×C61H(5,𝔽2)11yescharacteristic
283C2×C4×C61H(5,𝔽2)11yescharacteristic
284C22⋊D61—48no—
285C2×Dic61—22no—
286C2×Dic61—21no—
287C2×Dic61—21no—
288C2×Dic61—22no—
289C2×Dic61—21no—
290C2×Dic61—21no—
291C2×Dic61—21no—
292C2×Dic61—21no—
293C2×Dic61—21no—
294C2×Dic61—21no—
295C2×Dic61—21no—
296C2×Dic61—21no—
297C2×Dic61—21no—
298C2×Dic61—21no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302C2×Dic61—41no—
303C2×Dic61—41no—
304C2×Dic61—41no—
305C2×Dic61—41no—
306D244—22no—
307D244—22no—
308D244—22no—
309D244C4×D414yes—
310C4×D61—48no—
311C4×D61—84no—
312C4×D61—84no—
313Dic122—22no—
314Dic122—22no—
315Dic122—41no—
316Dic122—41no—
317C8×C61—22no—
318C8×C61—41no—
319#92418—22no—
320#92418—22no—
321#22856—611nomaximal, Sylow
322C22×C61—22no—
323C22×C61—22no—
324C22×C61—22no—
325C22×C61—41no—
326C22×C61—41no—
327C22×C61—41no—
328C22×C61—41no—
329C22×C61C2×C4×D411yescharacteristic
330C22×C61D4211yescharacteristic
331C22×C61#54611yescharacteristic
332C22×C61#57511yescharacteristic
333C22×C61#57511yescharacteristic
334C22×C61#57711yescharacteristic
335C22×C61#57811yescharacteristic
336C2×D61—24no—
337C2×D61—42no—
338C2×D61—42no—
339C2×D61—42no—
340C2×D61—42no—
341C2×D61—42no—
342C2×D61—42no—
343C4×C61—22no—
344C4×C61—42no—
345C4×C61—42no—
346C4×C61—81no—
347C4×C61—81no—
348C4×C61C2×C4×D411yescharacteristic
349C4×C61#51811yescharacteristic
350C4×C61#54611yescharacteristic
351C4×C61#55111yescharacteristic
352Dic61—42no—
353Dic61—41no—
354Dic61—42no—
355Dic61—41no—
356Dic61—41no—
357Dic61—41no—
358Dic61—81no—
359C2×#452—611no—
360C2×#440—611no—
361C2×#416—611no—
362#2362—611no—
363#2339—611no—
364#1971—611no—
365#1935—611no—
366#1928—611no—
367#1892D6111yescharacteristic, complemented
368#1878—611no—
369#1877—611no—
370#1864—611no—
371#1854—611no—
372#1762—611no—
373#1752—611no—
374C2×C61—42no—
375C2×C61#235811yescharacteristic
376C2×C61#294311yescharacteristic
377C2×C61#294711yescharacteristic
378C2×C61#326711yescharacteristic
379C2×C61#326911yescharacteristic
380C2×C61#331111yescharacteristic
381C2×C61#331511yescharacteristic
382D61—44no—
383C22×#41—611no—
384C22×Q16—611no—
385C22×SD16—611no—
386C23×C8C2×D6111yescharacteristic
387C2×C22⋊Q8C2×D6111yescharacteristic
388C2×C4×Q8—611no—
389C2×C4×D4—611no—
390C2×C4×D4—611no—
391C2×#117—611no—
392#452—618no—
393#440—1224no—
394C2×#107—611no—
395C2×#106—611no—
396#416—1224no—
397C2×#103—611no—
398C2×#103—611no—
399C2×#103—611no—
400C2×#103C2×D6111yescharacteristic
401C2×#103C2×D6111yescharacteristic
402C2×#102—611no—
403C2×#102—611no—
404C2×#102—611no—
405C2×C22⋊C8—611no—
406C2×#97—611no—
407C2×#97—611no—
408#391—611no—
409#391—611no—
410#391—611no—
411#389—611no—
412#388—1221no—
413#388—1221no—
414#387—1221no—
415#386—1221no—
416#386—1221no—
417#381—1221no—
418#380C2×D6111yescharacteristic
419C4×C4⋊C4—611no—
420C4×C4⋊C4—1221no—
421C4×C22⋊C4—611no—
422C2×#95—1221no—
423#340—611no—
424#340—611no—
425#340C2×D6111yescharacteristic
426#340C2×D6111yescharacteristic
427#336—611no—
428#336—611no—
429C61#2285611yescharacteristic, complemented, Sylow
430C2×#41—614no—
431C2×#41—1222no—
432C2×#41—1222no—
433C2×#41—1222no—
434C2×#41—2441no—
435C2×#41—2441no—
436C22×Q8—611no—
437C22×Q8C22×D6111yescharacteristic
438C22×D4—611no—
439C22×D4—1221no—
440C23×C4—1221no—
441C23×C4—1221no—
442C23×C4—1221no—
443C23×C4C22×D6111yescharacteristic
444C2×Q16—614no—
445C2×Q16—2441no—
446C2×Q16—2441no—
447C2×SD16—614no—
448C2×SD16—1222no—
449C2×SD16—1222no—
450C22×C8—22no—
451C22×C8—22no—
452C22×C8—41no—
453C22×C8—611no—
454C22×C8—611no—
455C22×C8C22×D6111yescharacteristic
456C22×C8C22×D6111yescharacteristic
457C22⋊Q8—22no—
458C22⋊Q8C4×D6114yescomplemented
459C4×Q8—1222no—
460C4×Q8—2441no—
461C4×D4—1222no—
462C4×D4—1222no—
463C4×D4—2441no—
464C4×D4—2441no—
465#117—1222no—
466#117—2441no—
467C2×C4⋊C4—21no—
468C2×C4⋊C4—611no—
469C2×C4⋊C4—611no—
470C2×C4⋊C4—1221no—
471C2×C4⋊C4—1221no—
472C2×C4⋊C4C22×D6111yescharacteristic
473C2×C4⋊C4C22×D6111yescharacteristic
474C2×C4⋊C4C22×D6111yescharacteristic
475C2×C22⋊C4—21no—
476C2×C22⋊C4—21no—
477C2×C22⋊C4—611no—
478C2×C22⋊C4—611no—
479C2×C22⋊C4—1221no—
480C2×C22⋊C4—1221no—
481C2×C22⋊C4—1221no—
482C2×C42—611no—
483C2×C42—611no—
484C2×C42—1221no—
485C2×C42—1221no—
486C2×C42—1221no—
487#107—1222no—
488#106—2441no—
489#103—22no—
490#103—41no—
491#103—614no—
492#103—1222no—
493#103—1222no—
494#102—614no—
495#102—614no—
496#102—1222no—
497C22⋊C8—614no—
498#97—1222no—
499#97—2441no—
500#95—21no—
501#95—611no—
502#95—611no—
503#95—1221no—
504#95—1221no—
505#95—1221no—
506#95—1221no—
507#95—1221no—
508#95—1221no—
509#95—1221no—
510#95—1221no—
511C24—1221no—
512C24D4×D6111yescharacteristic
513#41—1228no—
514#41—2444no—
515#41—2444no—
516#41—2444no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×Q8—21no—
521C2×Q8—21no—
522C2×Q8—612no—
523C2×Q8—1221no—
524C2×Q8—1221no—
525C2×Q8—1221no—
526C2×Q8—1221no—
527C2×Q8—1221no—
528C2×Q8C2×C4×D6112yes—
529C2×D4—612no—
530C2×D4—612no—
531C2×D4—612no—
532C2×D4—1224no—
533C2×D4—1221no—
534C2×D4—1221no—
535C2×D4—1221no—
536C2×D4—2442no—
537C2×D4—2442no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—611no—
547C22×C4—611no—
548C22×C4—611no—
549C22×C4—611no—
550C22×C4—1221no—
551C22×C4—1221no—
552C22×C4—1224no—
553C22×C4—1221no—
554C22×C4—4881no—
555C22×C4—4881no—
556C22×C4—2442no—
557C22×C4—2442no—
558C22×C4—2442no—
559C22×C4—2442no—
560C22×C4—2442no—
561C22×C4—2442no—
562C22×C4C2×C4×D6112yes—
563C22×C4D4×D6111yescharacteristic
564C22×C4#1175822412yes—
565C22×C4C23×D6111yescharacteristic
566Q16—2444no—
567SD16—1228no—
568C2×C8—21no—
569C2×C8—21no—
570C2×C8—21no—
571C2×C8—21no—
572C2×C8—21no—
573C2×C8—44no—
574C2×C8—612no—
575C2×C8—612no—
576C2×C8—1221no—
577C2×C8—1221no—
578C2×C8—1221no—
579C2×C8—1221no—
580C2×C8D4×D6112yes—
581C4⋊C4—21no—
582C4⋊C4—24no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—612no—
588C4⋊C4—1221no—
589C4⋊C4—1221no—
590C4⋊C4—1221no—
591C4⋊C4—2442no—
592C4⋊C4—2442no—
593C4⋊C4C2×C4×D6112yes—
594C22⋊C4—24no—
595C22⋊C4—81no—
596C22⋊C4—2442no—
597C22⋊C4—2442no—
598C22⋊C4—2441no—
599C22⋊C4—2441no—
600C22⋊C4—2442no—
601C42—1221no—
602C42—1221no—
603C42—1221no—
604C42—1221no—
605C42—2442no—
606C42—2442no—
607C42—2442no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—21no—
613C23—21no—
614C23—1222no—
615C23—1222no—
616C23—1222no—
617C23—2441no—
618C23—2441no—
619C23—2441no—
620C23—2441no—
621C23#1451973712yes—
622C23C2×D4×D6111yescharacteristic
623Q8—22no—
624Q8—22no—
625Q8—41no—
626Q8—41no—
627Q8—1222no—
628Q8—1222no—
629Q8—2441no—
630Q8—2441no—
631D4—614no—
632D4—1222no—
633D4—1222no—
634D4—1222no—
635D4—2448no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—1222no—
655C2×C4—1221no—
656C2×C4—1221no—
657C2×C4—1221no—
658C2×C4—1221no—
659C2×C4—1221no—
660C2×C4—1221no—
661C2×C4—1221no—
662C2×C4—1221no—
663C2×C4—1221no—
664C2×C4—1221no—
665C2×C4—1222no—
666C2×C4—1221no—
667C2×C4—1221no—
668C2×C4—4884no—
669C2×C4—4884no—
670C2×C4—2448no—
671C2×C4—2441no—
672C2×C4—2441no—
673C2×C4—2441no—
674C2×C4—2441no—
675C2×C4—2441no—
676C2×C4—2441no—
677C2×C4—2441no—
678C2×C4#1451973712yes—
679C2×C4C22×C4×D6111yescharacteristic
680C2×C4C2×D4×D6111yescharacteristic
681C2×C4#41×D6111yescharacteristic
682C2×C4C2×#1175822411yescharacteristic
683C2×C4#1451982211yescharacteristic
684C2×C4#1451982311yescharacteristic
685C8—22no—
686C8—41no—
687C8—1222no—
688C8—1222no—
689C22—22no—
690C22—22no—
691C22—22no—
692C22—41no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—1224no—
697C22—2442no—
698C22—2442no—
699C22—2442no—
700C22—2442no—
701C22—2442no—
702C22—2442no—
703C22C2×#1451973711yescharacteristic
704C22#1684039611yescharacteristic
705C22#1684040111yescharacteristic
706C22#1684055911yescharacteristic
707C22#1684055911yescharacteristic
708C22#1684056811yescharacteristic
709C22#1684057511yescharacteristic
710C4—22no—
711C4—42no—
712C4—42no—
713C4—81no—
714C4—81no—
715C4—4881no—
716C4—2441no—
717C4—2442no—
718C4—2441no—
719C4—2442no—
720C4—2441no—
721C4—2441no—
722C4C4×D4×D6111yescharacteristic
723C4#1684023411yescharacteristic
724C4#1684039911yescharacteristic
725C4#1684043511yescharacteristic
726C2—42no—
727C2—2444no—
728C2#2144879911yescharacteristic
729C2#2145461511yescharacteristic
730C2#2145465611yescharacteristic
731C2#2145734111yescharacteristic
732C2#2145737111yescharacteristic
733C2#2145786111yescharacteristic
734C2#2145792111yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1892C2
socleC23×C61C22×D4
prime radicalC22×#11758222C22
cosocleC22×C4×C61C24
hypercenter#1892D61
hypocenterC61#22856
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1892

Complements

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

NH ≅ G/Ntype
2. C2×#16839865C2semidirect
4. #21448850C2semidirect
6. #21446687C2semidirect
7. #21446510C2semidirect
8. #21446458C2semidirect
9. #21446158C2semidirect
10. #21446150C2semidirect
11. #21446081C2semidirect
12. #21446016C2semidirect
13. #21445643C2semidirect
14. #21445595C2semidirect
15. C61×#1892C2semidirect
23. #16839922C4semidirect
76. C2×#11758202C2×C4semidirect
108. #14519700C2×C4semidirect
112. C22⋊#92418C2×C4semidirect
133. C22⋊Q8×C61C2×C4semidirect
367. #1892D61semidirect
429. C61#22856semidirect
458. C22⋊Q8C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168399222
C2×#168398652
C2×#168397592
#214488502
#214486472
#214466872
#214465102
#214464582
#214461582
#214461502
#214460812
#214460162
#214456432
#214455952
C61×#18922
#2285661