Finite Group Databasebeta

← #30543694

Subgroups — #30543694

Order 15616.

2694 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840528C211yesmaximal, characteristic
2#21459020C211yesmaximal, characteristic
3C2×#16840243C211yesmaximal, characteristic
4#21454418C214yesmaximal, complemented
5#21454415C214yesmaximal, complemented
6#21454413C214yesmaximal, complemented
7#21454410C214yesmaximal, complemented
8#21454409C211yesmaximal, characteristic, complemented
9#21454408C211yesmaximal, characteristic, complemented
10#21454406C214yesmaximal, complemented
11C2×#16839802C211yesmaximal, characteristic, complemented
12#428×D61C214yesmaximal, complemented
13C2×C61×#428C211yesmaximal, characteristic, complemented
14C22×#11758222C2211yescharacteristic
15#16840528C4116yescomplemented
16C2×#14519785C2214yes—
17C2×#14519783C2214yes—
18C22×#11758194C2211yescharacteristic
19C2×M16×D61C2214yes—
20#16840243—22no—
21#16840243—22no—
22#16840243C2214yes—
23#16840243C2214yes—
24#16840243C2212yes—
25#16840243C2212yes—
26#16840242C2212yes—
27#16840242C2212yes—
28#16840239—21no—
29#16840236—21no—
30#16840235—22no—
31C4×#11758222—22no—
32#16840230—22no—
33C2×#14519742—21no—
34C2×#14519739—21no—
35C2×C4×C22⋊D61—22no—
36C2×#14519736C2211yescharacteristic
37C2×#14519736C2211yescharacteristic
38C2×#14519735C2212yes—
39#117×D61C2214yes—
40C2×C4⋊C4×D61C2212yes—
41#16839805C2212yes—
42#16839805C2212yes—
43#16839804C2212yes—
44#16839804C2212yes—
45#16839804C2212yescomplemented
46#16839804C2212yescomplemented
47#16839803C2218yescomplemented
48#16839803C2218yescomplemented
49#16839802C2214yes—
50#16839802C2214yescomplemented
51#16839802C2212yescomplemented
52#16839802C2212yescomplemented
53#16839801C2218yescomplemented
54#16839801C2218yescomplemented
55#16839800C2214yescomplemented
56#16839799C2218yescomplemented
57#16839798C2214yescomplemented
58#16839797C2218yescomplemented
59C2×#14519710C2212yescomplemented
60#107×D61C2218yescomplemented
61C2×#14519708C2212yescomplemented
62#106×D61C2218yescomplemented
63C22×M16×C61C2211yescharacteristic
64C2×#117×C61C2211yescharacteristic
65C22×C4⋊C4×C61C2211yescharacteristic
66C61×#428C2214yes—
67C61×#428C2214yescomplemented
68C2×#107×C61C2212yescomplemented
69C2×#106×C61C2212yescomplemented
70C2×#11758222C2×C418yes—
71C2×#11758222D412yes—
72C2×#11758222D412yes—
73C2×#11758222Q818yes—
74C2×#11758222C2312yes—
75C2×#11758222C2312yes—
76C22×Dic122D411yescharacteristic
77C22×D244D411yescharacteristic
78C22×C22⋊D61D412yes—
79C22×C4×D61—22no—
80C22×C4×D61C2312yes—
81#14519785C2×C4132yescomplemented
82#14519783C2×C4132yescomplemented
83C2×#11758194C2×C418yescomplemented
84C2×#11758194C2312yes—
85C2×#11758194C2312yes—
86C2×#11758189C2318yes—
87M16×D61C2×C4132yescomplemented
88C22×#92418C2312yes—
89C2×C8×D61C2318yes—
90C4×Dic122—22no—
91C4×Dic122—22no—
92#14519742—24no—
93#14519742—24no—
94#14519742—22no—
95#14519742—22no—
96C4×D244—22no—
97C4×D244—22no—
98#14519739—24no—
99#14519739—24no—
100#14519739—22no—
101#14519739—22no—
102C4×C22⋊D61—28no—
103C4×C22⋊D61—28no—
104C4×C22⋊D61—24no—
105C4×C22⋊D61—24no—
106#14519737—24no—
107#14519737—24no—
108#14519736—21no—
109#14519736—21no—
110#14519736—21no—
111#14519736—21no—
112#14519736C2312yes—
113#14519736C2312yes—
114#14519736C2312yes—
115#14519736C2312yes—
116#14519735—24no—
117#14519735C2314yes—
118#14519735C2314yes—
119#14519735C2318yes—
120#14519734—24no—
121#14519733—24no—
122C2×C4⋊Dic61C2311yescharacteristic
123C2×C4⋊Dic61C2311yescharacteristic
124C2×C4⋊Dic61C2311yescharacteristic
125C2×C4⋊Dic61C2311yescharacteristic
126C2×#11758196—22no—
127C4⋊C4×D61—24no—
128C4⋊C4×D61C2318yes—
129C4⋊C4×D61C2314yes—
130C4⋊C4×D61C2314yes—
131C2×C22⋊Dic61—21no—
132C2×C22⋊Dic61—21no—
133C2×#11758198—22no—
134C22⋊C4×D61—24no—
135C2×C4×Dic61—21no—
136C2×C4×Dic61—21no—
137C2×C4×Dic61—22no—
138C42×D61—24no—
139#14519711C2314yes—
140#14519711C2314yes—
141#14519710C2314yes—
142#14519710C2318yes—
143#14519710C2314yes—
144#14519709C2314yes—
145#14519709C2314yes—
146#14519708C2314yes—
147#14519708C2318yes—
148#14519708C2314yes—
149C23×C4×C61—21no—
150C23×C4×C61C2311yescharacteristic
151C2×M16×C61C2×C418yescomplemented
152C2×M16×C61C2312yes—
153C2×M16×C61C2312yes—
154C22×C8×C61C2312yes—
155#117×C61—21no—
156#117×C61—21no—
157#117×C61C2312yes—
158#117×C61C2312yes—
159C2×C4⋊C4×C61—21no—
160C2×C4⋊C4×C61—21no—
161C2×C4⋊C4×C61—21no—
162C2×C4⋊C4×C61C2312yes—
163C2×C4⋊C4×C61C2312yes—
164C2×C4⋊C4×C61C2311yescharacteristic
165C2×C4⋊C4×C61C2312yes—
166C2×C4⋊C4×C61C2311yescharacteristic
167C2×C22⋊C4×C61—21no—
168C2×C42×C61—21no—
169#107×C61C2318yes—
170#106×C61C2318yes—
171C24×C61C2×D411yescharacteristic
172C23×D61C2×D412yes—
173C22×C4×C61—22no—
174C22×C4×C61—21no—
175C22×C4×C61—21no—
176C22×C4×C61—22no—
177C22×C4×C61—22no—
178C22×C4×C61—82no—
179C22×C4×C61C22×C414yes—
180C22×C4×C61C2×D411yescharacteristic
181C22×C4×C61C2×D411yescharacteristic
182C22×C4×C61C2×D411yescharacteristic
183C22×C4×C61C2×Q814yes—
184C22×C4×C61C2411yescharacteristic
185C22×C4×C61C2411yescharacteristic
186C22×C4×C61C2411yescharacteristic
187C2×C22⋊D61C4⋊C4116yes—
188C2×C22⋊D61C2×D414yes—
189C2×C22⋊D61C2×D414yes—
190C22×Dic61—21no—
191C22×Dic61—21no—
192C22×Dic61—21no—
193C22×Dic61—21no—
194C22×Dic61C2×D412yes—
195#11758222C4⋊C4116yes—
196#11758222C4⋊C4116yes—
197#11758222C22×C418yes—
198#11758222C22×C418yes—
199#11758222C2×Q818yes—
200#11758222C2×Q818yes—
201C2×D244C4⋊C418yes—
202C2×D244C2×D412yes—
203C2×D244C2×D412yes—
204C2×C4×D61—28no—
205C2×C4×D61—24no—
206C2×C4×D61—24no—
207C2×C4×D61—84no—
208C2×C4×D61C22×C418yes—
209C2×C4×D61C2×D414yes—
210C2×C4×D61C2×Q818yes—
211C2×C4×D61C2414yes—
212C2×Dic122C4⋊C418yes—
213C2×Dic122C2×D412yes—
214C2×Dic122C2×D412yes—
215M16×C61C22×C418yes—
216M16×C61C22×C418yescomplemented
217C2×C8×C61C22×C418yescomplemented
218C2×C8×C61C2414yes—
219C4⋊C4×C61—22no—
220C4⋊C4×C61—22no—
221C4⋊C4×C61—22no—
222C4⋊C4×C61—21no—
223C4⋊C4×C61—21no—
224C4⋊C4×C61C2412yes—
225C4⋊C4×C61C2414yes—
226C4⋊C4×C61C2412yes—
227C22⋊C4×C61—22no—
228C22⋊C4×C61—22no—
229C42×C61—22no—
230C42×C61—22no—
231C22⋊Dic61—22no—
232C22⋊Dic61—22no—
233C22⋊Dic61—22no—
234C22⋊Dic61—22no—
235#11758198—24no—
236#11758198—24no—
237#11758198—28no—
238C4⋊Dic61—21no—
239C4⋊Dic61—21no—
240C4⋊Dic61—21no—
241C4⋊Dic61—21no—
242C4⋊Dic61C2412yes—
243C4⋊Dic61C2412yes—
244C4⋊Dic61C2412yes—
245C4⋊Dic61C2412yes—
246#11758196—28no—
247#11758196—24no—
248#11758196—24no—
249C4×Dic61—22no—
250C4×Dic61—22no—
251C4×Dic61—22no—
252C4×Dic61—22no—
253C4×Dic61—24no—
254C4×Dic61—24no—
255C4×Dic61—28no—
256#11758194C22×C418yes—
257#11758194C22×C418yescomplemented
258C2×#92418C22×C418yescomplemented
259C2×#92418C2414yes—
260#11758189C22×C4132yescomplemented
261C8×D61C22×C4132yescomplemented
262C23×C61—41no—
263C23×C61—41no—
264C23×C61C2×C4⋊C414yes—
265C23×C61C22×D411yescharacteristic
266C23×C61C22×D411yescharacteristic
267C23×C61C22×D411yescharacteristic
268C22×D61—42no—
269C22×D61—42no—
270C22×D61C2×C4⋊C418yes—
271C22×D61C22×D414yes—
272C2×C4×C61—22no—
273C2×C4×C61—22no—
274C2×C4×C61—24no—
275C2×C4×C61—44no—
276C2×C4×C61—81no—
277C2×C4×C61—81no—
278C2×C4×C61—82no—
279C2×C4×C61—82no—
280C2×C4×C61C2×C4⋊C414yes—
281C2×C4×C61C2×C4⋊C414yes—
282C2×C4×C61C2×C4⋊C414yes—
283C2×C4×C61C23×C412yes—
284C2×C4×C61C23×C412yes—
285C2×C4×C61C23×C412yes—
286C2×C4×C61C22×D411yescharacteristic
287C2×C4×C61C22×D411yescharacteristic
288C2×C4×C61C22×D411yescharacteristic
289C2×C4×C61C22×Q812yes—
290C2×C4×C61C22×Q812yes—
291C2×C4×C61C22×Q812yes—
292C2×C4×C61C2511yescharacteristic
293C22⋊D61C2×C4⋊C4116yes—
294C22⋊D61C2×C4⋊C4116yes—
295C2×Dic61—22no—
296C2×Dic61—22no—
297C2×Dic61—22no—
298C2×Dic61—22no—
299C2×Dic61—42no—
300C2×Dic61—42no—
301C2×Dic61—81no—
302C2×Dic61—81no—
303C2×Dic61C2×C4⋊C418yes—
304C2×Dic61C22×D414yes—
305D244C2×C4⋊C418yes—
306D244C2×C4⋊C418yes—
307C4×D61—84no—
308C4×D61—84no—
309C4×D61—88no—
310C4×D61C2×C4⋊C4116yes—
311C4×D61C23×C418yes—
312C4×D61C22×Q818yes—
313Dic122C2×C4⋊C418yes—
314Dic122C2×C4⋊C418yes—
315C8×C61C23×C418yes—
316#92418C23×C418yes—
317#60109—611nomaximal, Sylow
318C22×C61—21no—
319C22×C61—21no—
320C22×C61—21no—
321C22×C61—21no—
322C22×C61—21no—
323C22×C61—21no—
324C22×C61—44no—
325C22×C61C22×C4⋊C412yes—
326C22×C61C22×C4⋊C412yes—
327C22×C61C22×C4⋊C412yes—
328C22×C61C23×D411yescharacteristic
329C2×D61—24no—
330C2×D61—24no—
331C2×D61—48no—
332C2×D61C22×C4⋊C418yes—
333C4×C61—44no—
334C4×C61—42no—
335C4×C61—42no—
336C4×C61C22×C4⋊C412yes—
337C4×C61C22×C4⋊C412yes—
338C4×C61C22×C4⋊C412yes—
339C4×C61C24×C411yescharacteristic
340C4×C61C23×Q811yescharacteristic
341Dic61—42no—
342Dic61—42no—
343Dic61—42no—
344Dic61—42no—
345Dic61C22×C4⋊C418yes—
346C2×#568—611no—
347#3428—611no—
348C2×#520—611no—
349#2913—614no—
350#2913—614no—
351#2912—614no—
352#2912—614no—
353#2911—614no—
354#2911—611no—
355#2911—611no—
356C2×#428—614no—
357C2×#428—611no—
358C2×#428D6111yescharacteristic, complemented
359C2×C61—22no—
360C2×C61—22no—
361C2×C61—22no—
362C2×C61C23×C4⋊C411yescharacteristic
363C2×C61#358511yescharacteristic
364C2×C61#358611yescharacteristic
365D61—28no—
366C22×#41—611no—
367#568—6116no—
368C2×#131—614no—
369C2×#131—614no—
370C22×M16—611no—
371C22×M16—614no—
372C22×M16C2×D6111yescharacteristic
373#520—612no—
374#520—612no—
375#520—612no—
376#520—614no—
377#520—614no—
378#520—612no—
379#520—1222no—
380#520—1222no—
381#519—1221no—
382#518—1222no—
383#518—1221no—
384C4×#41—1222no—
385C4×#41—1222no—
386C2×C4×Q8—1221no—
387C2×C4×D4—1221no—
388C2×C4×D4—1222no—
389C2×#117—611no—
390C2×#117—611no—
391C2×#117—614no—
392C2×#117—612no—
393C2×#117C2×D6111yescharacteristic
394C22×C4⋊C4—612no—
395C22×C4⋊C4C2×D6111yescharacteristic
396#428—612no—
397#428—612no—
398#428—612no—
399#428—612no—
400#428—612no—
401#428—612no—
402#428—614no—
403#428—614no—
404#428—612no—
405#428—612no—
406#428—618no—
407#428—618no—
408#428—618no—
409#428—618no—
410#428C2×D6114yes—
411#428C2×D6114yescomplemented
412#427—614no—
413#427—614no—
414#427—618no—
415#427—618no—
416C2×#107—612no—
417C2×#107—618no—
418C2×#107C2×D6112yescomplemented
419C2×#106—612no—
420C2×#106—618no—
421C2×#106C2×D6112yescomplemented
422C61#6010911yescharacteristic, complemented, Sylow
423C2×#41—618no—
424C2×#41—612no—
425C2×#41—612no—
426C2×#41—618no—
427C2×#41—612no—
428C2×#41—612no—
429C22×Q8—611no—
430C22×D4—612no—
431C22×D4—611no—
432C23×C4—21no—
433C23×C4—612no—
434C23×C4—1222no—
435C23×C4C22×D6111yescharacteristic
436#131—6132no—
437#131—6132no—
438C2×M16—618no—
439C2×M16—612no—
440C2×M16—612no—
441C2×M16—6132no—
442C2×M16—618no—
443C2×M16C4×D6118yescomplemented
444C2×M16C22×D6112yes—
445C2×M16C22×D6112yes—
446C22×C8—612no—
447C22×C8—618no—
448C22×C8C22×D6112yes—
449C4×Q8—1222no—
450C4×Q8—1222no—
451C4×Q8—1224no—
452C4×Q8—1224no—
453C4×Q8—1222no—
454C4×Q8—1222no—
455C4×D4—1222no—
456C4×D4—1222no—
457C4×D4—1224no—
458C4×D4—1224no—
459C4×D4—1224no—
460C4×D4—1224no—
461C4×D4—1222no—
462C4×D4—1222no—
463C4×D4—1228no—
464C4×D4—1228no—
465C4×D4—1224no—
466C4×D4—1224no—
467#117—21no—
468#117—21no—
469#117—612no—
470#117—612no—
471#117—612no—
472#117—612no—
473#117—614no—
474#117—618no—
475#117—614no—
476#117—1224no—
477#117—1224no—
478#117—1224no—
479#117—1221no—
480#117—1221no—
481#117—1221no—
482#117—1221no—
483#117C22×D6112yes—
484#117C22×D6112yes—
485C2×C4⋊C4—21no—
486C2×C4⋊C4—21no—
487C2×C4⋊C4—21no—
488C2×C4⋊C4—611no—
489C2×C4⋊C4—611no—
490C2×C4⋊C4—611no—
491C2×C4⋊C4—611no—
492C2×C4⋊C4—618no—
493C2×C4⋊C4—614no—
494C2×C4⋊C4—614no—
495C2×C4⋊C4—1224no—
496C2×C4⋊C4—1222no—
497C2×C4⋊C4C22×D6112yes—
498C2×C4⋊C4C22×D6112yes—
499C2×C4⋊C4C22×D6112yes—
500C2×C4⋊C4C22×D6111yescharacteristic
501C2×C4⋊C4C22×D6111yescharacteristic
502C2×C22⋊C4—21no—
503C2×C22⋊C4—1224no—
504C2×C22⋊C4—1222no—
505C2×C22⋊C4—1221no—
506C2×C22⋊C4—1221no—
507C2×C42—21no—
508C2×C42—1224no—
509C2×C42—1222no—
510C2×C42—1221no—
511C2×C42—1221no—
512#107—614no—
513#107—614no—
514#107—614no—
515#107—618no—
516#107—614no—
517#107C22×D6118yes—
518#106—614no—
519#106—614no—
520#106—618no—
521#106—614no—
522#106—614no—
523#106C22×D6118yes—
524C24—612no—
525C24D4×D6111yescharacteristic
526#41—618no—
527#41—618no—
528#41—618no—
529#41—618no—
530#41—6116no—
531#41—6116no—
532C2×Q8—612no—
533C2×Q8—612no—
534C2×Q8—618no—
535C2×D4—614no—
536C2×D4—614no—
537C2×D4—6116no—
538C2×D4—612no—
539C2×D4—612no—
540C2×D4—618no—
541C22×C4—22no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—22no—
545C22×C4—22no—
546C22×C4—82no—
547C22×C4—612no—
548C22×C4—618no—
549C22×C4—614no—
550C22×C4—618no—
551C22×C4—614no—
552C22×C4—1224no—
553C22×C4—1224no—
554C22×C4—1228no—
555C22×C4—1221no—
556C22×C4—1221no—
557C22×C4—1221no—
558C22×C4—1221no—
559C22×C4—4884no—
560C22×C4C2×C4×D6114yes—
561C22×C4D4×D6111yescharacteristic
562C22×C4D4×D6111yescharacteristic
563C22×C4D4×D6111yescharacteristic
564C22×C4Q8×D6114yes—
565C22×C4C23×D6111yescharacteristic
566C22×C4C23×D6111yescharacteristic
567C22×C4C23×D6111yescharacteristic
568M16—618no—
569M16—618no—
570M16—6132no—
571M16C2×C4×D6118yes—
572M16C2×C4×D6118yescomplemented
573C2×C8—618no—
574C2×C8—614no—
575C2×C8—6132no—
576C2×C8C2×C4×D6118yescomplemented
577C2×C8C23×D6114yes—
578C4⋊C4—22no—
579C4⋊C4—22no—
580C4⋊C4—22no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—612no—
584C4⋊C4—612no—
585C4⋊C4—612no—
586C4⋊C4—612no—
587C4⋊C4—1228no—
588C4⋊C4—1224no—
589C4⋊C4—1224no—
590C4⋊C4—1221no—
591C4⋊C4—1221no—
592C4⋊C4—1221no—
593C4⋊C4—1221no—
594C4⋊C4C23×D6112yes—
595C4⋊C4C23×D6114yes—
596C4⋊C4C23×D6112yes—
597C22⋊C4—22no—
598C22⋊C4—22no—
599C22⋊C4—1224no—
600C22⋊C4—1224no—
601C22⋊C4—1228no—
602C22⋊C4—1222no—
603C22⋊C4—1222no—
604C22⋊C4—1222no—
605C22⋊C4—1222no—
606C42—22no—
607C42—22no—
608C42—1224no—
609C42—1224no—
610C42—1228no—
611C42—1222no—
612C42—1222no—
613C42—1222no—
614C42—1222no—
615C23—41no—
616C23—41no—
617C23—614no—
618C23—618no—
619C23—2442no—
620C23—2442no—
621C23C4⋊C4×D6114yes—
622C23C2×D4×D6111yescharacteristic
623C23C2×D4×D6111yescharacteristic
624C23C2×D4×D6111yescharacteristic
625Q8—618no—
626Q8—618no—
627D4—6116no—
628D4—6116no—
629D4—618no—
630D4—618no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—24no—
634C2×C4—44no—
635C2×C4—81no—
636C2×C4—81no—
637C2×C4—82no—
638C2×C4—82no—
639C2×C4—618no—
640C2×C4—614no—
641C2×C4—6116no—
642C2×C4—618no—
643C2×C4—618no—
644C2×C4—1222no—
645C2×C4—1222no—
646C2×C4—1222no—
647C2×C4—1222no—
648C2×C4—4884no—
649C2×C4—4884no—
650C2×C4—4888no—
651C2×C4—4881no—
652C2×C4—4881no—
653C2×C4—2442no—
654C2×C4—2442no—
655C2×C4C4⋊C4×D6114yes—
656C2×C4C4⋊C4×D6114yes—
657C2×C4C4⋊C4×D6114yes—
658C2×C4C22×C4×D6112yes—
659C2×C4C22×C4×D6112yes—
660C2×C4C22×C4×D6112yes—
661C2×C4C2×D4×D6111yescharacteristic
662C2×C4C2×D4×D6111yescharacteristic
663C2×C4C2×D4×D6111yescharacteristic
664C2×C4C2×Q8×D6112yes—
665C2×C4C2×Q8×D6112yes—
666C2×C4C2×Q8×D6112yes—
667C2×C4C24×D6111yescharacteristic
668C8—618no—
669C8C22×C4×D6118yes—
670C22—21no—
671C22—21no—
672C22—21no—
673C22—21no—
674C22—21no—
675C22—21no—
676C22—44no—
677C22—618no—
678C22—1224no—
679C22—1224no—
680C22—2448no—
681C22C2×C4⋊C4×D6112yes—
682C22C2×C4⋊C4×D6112yes—
683C22C2×C4⋊C4×D6112yes—
684C22C22×D4×D6111yescharacteristic
685C4—44no—
686C4—42no—
687C4—42no—
688C4—618no—
689C4—2442no—
690C4—2442no—
691C4—2442no—
692C4—2442no—
693C4C2×C4⋊C4×D6112yes—
694C4C2×C4⋊C4×D6112yes—
695C4C2×C4⋊C4×D6112yes—
696C4C23×C4×D6111yescharacteristic
697C4C22×Q8×D6111yescharacteristic
698C2—22no—
699C2—22no—
700C2—22no—
701C2—1228no—
702C2C22×C4⋊C4×D6111yescharacteristic
703C2#2146059511yescharacteristic
704C2#2146060211yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutatorC4×C61C24×C4
FrattiniC2×C4C24×D61
FittingC2×C61×#428C2
socleC22×C61C23×D4
prime radicalC22×#11758222C22
cosocleC2×C4×C61C25
hypercenterC2×#428D61
hypocenterC61#60109
LCSG ▷ C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
4. #21454418C2semidirect
5. #21454415C2semidirect
6. #21454413C2semidirect
7. #21454410C2semidirect
8. #21454409C2semidirect
9. #21454408C2semidirect
10. #21454406C2semidirect
11. C2×#16839802C2semidirect
12. #428×D61C2semidirect
13. C2×C61×#428C2semidirect
15. #16840528C4semidirect
45. #16839804C22semidirect
46. #16839804C22semidirect
47. #16839803C22semidirect
48. #16839803C22semidirect
50. #16839802C22semidirect
51. #16839802C22semidirect
52. #16839802C22semidirect
53. #16839801C22semidirect
54. #16839801C22semidirect
55. #16839800C22semidirect
56. #16839799C22semidirect
57. #16839798C22semidirect
58. #16839797C22semidirect
59. C2×#14519710C22semidirect
60. #107×D61C22semidirect
61. C2×#14519708C22semidirect
62. #106×D61C22semidirect
67. C61×#428C22semidirect
68. C2×#107×C61C22semidirect
69. C2×#106×C61C22semidirect
81. #14519785C2×C4semidirect
82. #14519783C2×C4semidirect
83. C2×#11758194C2×C4semidirect
87. M16×D61C2×C4semidirect
151. C2×M16×C61C2×C4semidirect
216. M16×C61C22×C4semidirect
217. C2×C8×C61C22×C4semidirect
257. #11758194C22×C4semidirect
258. C2×#92418C22×C4semidirect
260. #11758189C22×C4semidirect
261. C8×D61C22×C4semidirect
358. C2×#428D61semidirect
411. #428C2×D61semidirect
418. C2×#107C2×D61semidirect
421. C2×#106C2×D61semidirect
422. C61#60109semidirect
443. C2×M16C4×D61semidirect
572. M16C2×C4×D61semidirect
576. C2×C8C2×C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168405282
#214590202
C2×#168402432
#214544182
#214544152
#214544132
#214544102
#214544092
#214544082
#214544062
C2×#168398022
#428×D612
C2×C61×#4282
#6010961