Finite Group Databasebeta

← C2×#21454350 #30543569

Subgroups — C2×#21454350 #30543569

Order 15616.

4882 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14519824C211yesmaximal, characteristic
2C22×#14519785C211yesmaximal, characteristic, complemented
3C2×#16840243C211yesmaximal, characteristic, complemented
4#21454350C2116yesmaximal, direct product factor
5C2×#16839760C212yesmaximal, complemented
6C2×#16839772C211yesmaximal, characteristic, complemented
7C2×#16839769C212yesmaximal, complemented
8C2×#16839758C211yesmaximal, characteristic, complemented
9C2×#16839755C212yesmaximal, complemented
10C22×#14519700C211yesmaximal, characteristic, complemented
11C2×#103×D61C212yesmaximal, complemented
12C2×C61×#417C211yesmaximal, characteristic, complemented
13C2×#14519824—28no—
14C2×#14519824—24no—
15C2×#14519824C4116yescomplemented
16C2×#14519824C2218yes—
17C22×#11758222—21no—
18C22×#11758222C2211yescharacteristic
19C22×#11758224—22no—
20C22×#11758224C2212yes—
21C23×Dic122—21no—
22C23×Dic122C2211yescharacteristic
23C22×Q8×D61C2212yes—
24C2×#14519785—28no—
25C2×#14519785C2218yescomplemented
26C22×#11758189C2212yes—
27C23×#92418C2211yescharacteristic
28C22×C8×D61C2212yes—
29#16840243—24no—
30#16840243C2218yescomplemented
31C2×#14519742—21no—
32C2×#14519739—21no—
33C2×C4×C22⋊D61—22no—
34C2×#14519736C2211yescharacteristic
35C2×#14519735C2212yes—
36C2×C4⋊C4×D61C2212yes—
37#16839772C2218yescomplemented
38#16839769C22116yescomplemented
39#16839760C22116yescomplemented
40#16839758C2218yescomplemented
41#16839755C22116yescomplemented
42C2×#14519702C2212yes—
43C2×#14519702C2212yes—
44C2×#14519701C2211yescharacteristic
45C2×#14519701C2211yescharacteristic
46C2×#14519700C2212yes—
47C2×#14519700C2212yes—
48C2×#14519700C2218yescomplemented
49#103×D61C22116yescomplemented
50C2×#14519698C2211yescharacteristic
51C2×#14519698C2211yescharacteristic
52C22×#41×C61C2211yescharacteristic
53C22×M16×C61C2211yescharacteristic
54C22×C4⋊C4×C61C2211yescharacteristic
55C61×#417C2218yescomplemented
56C2×#103×C61C2212yes—
57C2×#102×C61C2212yes—
58#14519824—264no—
59#14519824—232no—
60#14519824C2×C4164yescomplemented
61C2×#11758222—216no—
62C2×#11758222—28no—
63C2×#11758222C2×C418yes—
64C2×#11758222D418yes—
65C2×#11758222D414yes—
66C2×#11758222C2314yes—
67C2×#11758224—232no—
68C2×#11758224—216no—
69C2×#11758224—24no—
70C2×#11758224—28no—
71C2×#11758224C2×C4116yescomplemented
72C2×#11758224C2318yes—
73C22×Dic122—21no—
74C22×Dic122—24no—
75C22×Dic122—22no—
76C22×Dic122—22no—
77C22×Dic122—216no—
78C22×Dic122—28no—
79C22×Dic122C2×C418yescomplemented
80C22×Dic122D411yescharacteristic
81C22×Dic122C2312yes—
82C22×Dic122C2314yes—
83C2×Q8×D61—28no—
84C2×Q8×D61—24no—
85C2×Q8×D61C2×C4116yescomplemented
86C2×Q8×D61C2318yes—
87C22×D244D411yescharacteristic
88C22×C22⋊D61—22no—
89C22×C22⋊D61D412yes—
90C23×Dic61—21no—
91C23×Dic61—22no—
92C22×C4×D61—22no—
93C22×C4×D61—22no—
94C22×C4×D61C2312yes—
95#14519785—232no—
96C2×#11758189—28no—
97C2×#11758189C2318yes—
98C22×#92418—24no—
99C22×#92418C2311yescharacteristic
100C22×#92418C2311yescharacteristic
101C22×#92418C2314yes—
102C2×C8×D61—28no—
103C2×C8×D61C2318yes—
104#14519742—28no—
105#14519739—28no—
106C4×C22⋊D61—216no—
107#14519736—22no—
108#14519736C2314yes—
109#14519735—24no—
110#14519735C2318yes—
111C2×C4⋊Dic61C2311yescharacteristic
112C2×C4⋊Dic61C2311yescharacteristic
113C2×#11758196—22no—
114C4⋊C4×D61—24no—
115C4⋊C4×D61C2318yes—
116C2×C22⋊Dic61—21no—
117C2×#11758198—22no—
118C2×C4×Dic61—21no—
119C2×C4×Dic61—22no—
120#14519702C2318yes—
121#14519702C2318yes—
122#14519701C2314yes—
123#14519701C2314yes—
124#14519700C2318yes—
125#14519700C2318yes—
126#14519698C2314yes—
127#14519698C2314yes—
128C2×#41×C61—24no—
129C2×#41×C61—22no—
130C2×#41×C61C2×C418yescomplemented
131C2×#41×C61C2314yes—
132C22×Q8×C61C2311yescharacteristic
133C22×D4×C61—21no—
134C22×D4×C61C2311yescharacteristic
135C23×C4×C61—21no—
136C23×C4×C61—21no—
137C23×C4×C61C2311yescharacteristic
138C2×M16×C61—24no—
139C2×M16×C61C2314yes—
140C22×C8×C61C2312yes—
141C2×C4⋊C4×C61—21no—
142C2×C4⋊C4×C61—22no—
143C2×C4⋊C4×C61C2312yes—
144C2×C4⋊C4×C61C2314yes—
145#103×C61C2318yes—
146#102×C61C2318yes—
147C24×C61—21no—
148C24×C61C2×D411yescharacteristic
149C23×D61C2×D412yes—
150#41×C61—216no—
151#41×C61—28no—
152#41×C61C22×C4116yescomplemented
153C2×Q8×C61—22no—
154C2×Q8×C61—21no—
155C2×Q8×C61C22×C414yes—
156C2×Q8×C61C2412yes—
157C2×D4×C61—28no—
158C2×D4×C61—24no—
159C2×D4×C61—21no—
160C2×D4×C61—22no—
161C2×D4×C61C22×C414yes—
162C2×D4×C61C2412yes—
163C22×C4×C61—21no—
164C22×C4×C61—28no—
165C22×C4×C61—24no—
166C22×C4×C61—22no—
167C22×C4×C61—24no—
168C22×C4×C61—82no—
169C22×C4×C61C22×C414yes—
170C22×C4×C61C2×D411yescharacteristic
171C22×C4×C61C2×D412yes—
172C22×C4×C61C2×D414yes—
173C22×C4×C61C2411yescharacteristic
174C22×C4×C61C2412yes—
175C2×C22⋊D61—216no—
176C2×C22⋊D61—28no—
177C2×C22⋊D61C22⋊C4116yes—
178C2×C22⋊D61C2×D418yes—
179C22×Dic61—28no—
180C22×Dic61—22no—
181C22×Dic61—24no—
182C22×Dic61—216no—
183C22×Dic61—28no—
184C22×Dic61—21no—
185C22×Dic61—21no—
186C22×Dic61C2×D412yes—
187Q8×D61—232no—
188Q8×D61—216no—
189Q8×D61C22×C4132yescomplemented
190#11758224—2128no—
191#11758224—232no—
192#11758224—216no—
193#11758224C22×C4132yescomplemented
194#11758222—264no—
195#11758222C22⋊C4132yes—
196#11758222C22×C4116yes—
197#11758222C2×D4116yes—
198C2×D244C22⋊C418yes—
199C2×D244C2×D414yes—
200C2×C4×D61—216no—
201C2×C4×D61—28no—
202C2×C4×D61—28no—
203C2×C4×D61—84no—
204C2×C4×D61C22×C418yes—
205C2×C4×D61C2×D414yes—
206C2×C4×D61C2×D418yes—
207C2×C4×D61C2414yes—
208C2×Dic122—28no—
209C2×Dic122—216no—
210C2×Dic122—22no—
211C2×Dic122—24no—
212C2×Dic122—24no—
213C2×Dic122—28no—
214C2×Dic122—216no—
215C2×Dic122—28no—
216C2×Dic122—264no—
217C2×Dic122C22⋊C418yes—
218C2×Dic122C22×C418yes—
219C2×Dic122C22×C4116yescomplemented
220C2×Dic122C2×D414yes—
221C2×Dic122C2414yes—
222M16×C61—28no—
223C2×C8×C61—24no—
224C2×C8×C61C2414yes—
225C4⋊C4×C61—22no—
226C4⋊C4×C61—24no—
227C4⋊C4×C61C2414yes—
228C22⋊Dic61—24no—
229#11758198—28no—
230C4⋊Dic61—21no—
231C4⋊Dic61—21no—
232C4⋊Dic61C2412yes—
233C4⋊Dic61C2412yes—
234#11758196—28no—
235C4×Dic61—24no—
236C4×Dic61—28no—
237C2×#92418—22no—
238C2×#92418—22no—
239C2×#92418—28no—
240C2×#92418C2412yes—
241C2×#92418C2412yes—
242#11758189—216no—
243C8×D61—216no—
244C23×C61—22no—
245C23×C61—22no—
246C23×C61—24no—
247C23×C61—22no—
248C23×C61—42no—
249C23×C61—42no—
250C23×C61C2×C22⋊C414yes—
251C23×C61C22×D412yes—
252C23×C61C22×D411yescharacteristic
253C22×D61—24no—
254C22×D61—24no—
255C22×D61C2×C22⋊C418yes—
256C22×D61C22×D414yes—
257Q8×C61—24no—
258Q8×C61—22no—
259Q8×C61C23×C414yes—
260D4×C61—216no—
261D4×C61—24no—
262D4×C61—22no—
263D4×C61C23×C414yes—
264C2×C4×C61—24no—
265C2×C4×C61—22no—
266C2×C4×C61—216no—
267C2×C4×C61—24no—
268C2×C4×C61—44no—
269C2×C4×C61—84no—
270C2×C4×C61C2×C22⋊C414yes—
271C2×C4×C61C2×C22⋊C418yes—
272C2×C4×C61C23×C412yes—
273C2×C4×C61C23×C414yes—
274C2×C4×C61C22×D412yes—
275C2×C4×C61C22×D411yescharacteristic
276C2×C4×C61C22×D412yes—
277C2×C4×C61C22×D414yes—
278C2×C4×C61C2511yescharacteristic
279C22⋊D61—232no—
280C22⋊D61C2×C22⋊C4132yes—
281C2×Dic61—28no—
282C2×Dic61—216no—
283C2×Dic61—24no—
284C2×Dic61—232no—
285C2×Dic61—22no—
286C2×Dic61—22no—
287C2×Dic61—42no—
288C2×Dic61—42no—
289C2×Dic61C2×C22⋊C418yes—
290C2×Dic61C22×D414yes—
291D244C2×C22⋊C4116yes—
292C4×D61—232no—
293C4×D61—88no—
294C4×D61C2×C22⋊C4116yes—
295C4×D61C23×C418yes—
296C4×D61C22×D418yes—
297Dic122—216no—
298Dic122—28no—
299Dic122—24no—
300Dic122—232no—
301Dic122C2×C22⋊C4116yes—
302Dic122C23×C418yes—
303C8×C61—24no—
304#92418—22no—
305#92418—22no—
306C2×#2898—611nomaximal, Sylow
307C22×C61—28no—
308C22×C61—22no—
309C22×C61—22no—
310C22×C61—24no—
311C22×C61—48no—
312C22×C61—42no—
313C22×C61—42no—
314C22×C61C22×C22⋊C414yes—
315C22×C61C22×C22⋊C412yes—
316C22×C61#57712yes—
317C22×C61#57812yes—
318C22×C61C23×D411yescharacteristic
319C2×D61—216no—
320C2×D61—24no—
321C2×D61—24no—
322C2×D61C22×C22⋊C418yes—
323C4×C61—24no—
324C4×C61—44no—
325C4×C61C22×C22⋊C414yes—
326C4×C61C22×C22⋊C412yes—
327C4×C61C24×C411yescharacteristic
328C4×C61C23×D411yescharacteristic
329Dic61—28no—
330Dic61—42no—
331Dic61—42no—
332Dic61C22×C22⋊C418yes—
333C22×2−1+4—611no—
334C22×#131—611no—
335C2×#520—611no—
336#2898—6116no—
337C2×#417—612no—
338C2×#417D6111yescharacteristic, complemented
339C2×#419—612no—
340C2×#419—611no—
341C2×#416—612no—
342C2×#416—611no—
343C22×#103—612no—
344C22×#103—611no—
345C2×C61—24no—
346C2×C61—44no—
347C2×C61#289814yescomplemented
348C2×C61C23×C22⋊C411yescharacteristic
349C2×C61C2×#57711yescharacteristic
350C2×C61C2×#57811yescharacteristic
351D61—28no—
352C2×2−1+4—6116no—
353C2×2−1+4—618no—
354C2×2−1+4—1224no—
355C2×2−1+4—1228no—
356C22×#41—611no—
357C22×#41—612no—
358C22×#41—1221no—
359C22×#41—1222no—
360C22×#41C2×D6111yescharacteristic
361C23×Q8—612no—
362C23×Q8—611no—
363C23×Q8—1221no—
364C2×#131—618no—
365C2×#131—1228no—
366C22×M16—612no—
367C22×M16C2×D6111yescharacteristic
368C23×C8—611no—
369C23×C8—612no—
370#520—618no—
371#520—1224no—
372C2×C4×Q8—1221no—
373C2×C4×D4—1221no—
374C2×C4×D4—1222no—
375C2×#117—611no—
376C2×#117—612no—
377C22×C4⋊C4—612no—
378C22×C4⋊C4C2×D6111yescharacteristic
379#419—618no—
380#419—6116no—
381#417—6116no—
382#417C2×D6118yescomplemented
383#416—618no—
384#416—6116no—
385C2×#103—611no—
386C2×#103—611no—
387C2×#103—612no—
388C2×#103—612no—
389C2×#103—612no—
390C2×#103—612no—
391C2×#103—618no—
392C2×#103—6116no—
393C2×#103C2×D6112yes—
394C2×#102—611no—
395C2×#102—611no—
396C2×#102C2×D6112yes—
397C61C2×#289811yescharacteristic, complemented, Sylow
3982−1+4—6164no—
3992−1+4—12232no—
4002−1+4—12264no—
401C2×#41—22no—
402C2×#41—24no—
403C2×#41—618no—
404C2×#41—614no—
405C2×#41—618no—
406C2×#41—614no—
407C2×#41—6116no—
408C2×#41—618no—
409C2×#41—1228no—
410C2×#41—12216no—
411C2×#41—1224no—
412C2×#41—1228no—
413C2×#41—12216no—
414C2×#41—12232no—
415C2×#41C4×D6118yescomplemented
416C2×#41C22×D6114yes—
417C22×Q8—611no—
418C22×Q8—6116no—
419C22×Q8—618no—
420C22×Q8—618no—
421C22×Q8—612no—
422C22×Q8—614no—
423C22×Q8—1222no—
424C22×Q8—1228no—
425C22×Q8—12216no—
426C22×Q8—1224no—
427C22×Q8—1228no—
428C22×Q8—1221no—
429C22×Q8—1222no—
430C22×Q8—1224no—
431C22×Q8C22×D6111yescharacteristic
432C22×D4—21no—
433C22×D4—612no—
434C22×D4—611no—
435C22×D4—1222no—
436C22×D4C22×D6111yescharacteristic
437C23×C4—21no—
438C23×C4—21no—
439C23×C4—612no—
440C23×C4—1222no—
441C23×C4—1222no—
442C23×C4—1222no—
443C23×C4—1221no—
444C23×C4C22×D6111yescharacteristic
445#131—12232no—
446C2×M16—24no—
447C2×M16—618no—
448C2×M16—1228no—
449C2×M16C22×D6114yes—
450C22×C8—611no—
451C22×C8—611no—
452C22×C8—614no—
453C22×C8—618no—
454C22×C8—1228no—
455C22×C8—1224no—
456C22×C8C22×D6112yes—
457C4×Q8—1228no—
458C4×D4—1228no—
459C4×D4—12216no—
460#117—614no—
461#117—618no—
462#117—1224no—
463#117—1222no—
464C2×C4⋊C4—21no—
465C2×C4⋊C4—22no—
466C2×C4⋊C4—611no—
467C2×C4⋊C4—611no—
468C2×C4⋊C4—618no—
469C2×C4⋊C4—1224no—
470C2×C4⋊C4—1222no—
471C2×C4⋊C4C22×D6112yes—
472C2×C4⋊C4C22×D6114yes—
473C2×C22⋊C4—1222no—
474C2×C22⋊C4—1221no—
475C2×C42—1222no—
476C2×C42—1221no—
477#103—614no—
478#103—614no—
479#103—618no—
480#103—618no—
481#103—618no—
482#103—618no—
483#103C22×D6118yes—
484#102—614no—
485#102—614no—
486#102C22×D6118yes—
487C24—21no—
488C24—612no—
489C24D4×D6111yescharacteristic
490#41—28no—
491#41—216no—
492#41—6116no—
493#41—6116no—
494#41—6132no—
495#41—6132no—
496#41—12264no—
497#41—12232no—
498#41—12216no—
499#41—122128no—
500#41C2×C4×D61116yescomplemented
501C2×Q8—22no—
502C2×Q8—21no—
503C2×Q8—614no—
504C2×Q8—618no—
505C2×Q8—6132no—
506C2×Q8—618no—
507C2×Q8—6116no—
508C2×Q8—614no—
509C2×Q8—12216no—
510C2×Q8—1228no—
511C2×Q8—12264no—
512C2×Q8—12232no—
513C2×Q8—12216no—
514C2×Q8—1224no—
515C2×Q8—1224no—
516C2×Q8—1222no—
517C2×Q8—1228no—
518C2×Q8—1228no—
519C2×Q8—12216no—
520C2×Q8C2×C4×D6114yes—
521C2×Q8C23×D6112yes—
522C2×D4—24no—
523C2×D4—28no—
524C2×D4—21no—
525C2×D4—22no—
526C2×D4—618no—
527C2×D4—6116no—
528C2×D4—614no—
529C2×D4—618no—
530C2×D4—12216no—
531C2×D4—1228no—
532C2×D4C2×C4×D6114yes—
533C2×D4C23×D6112yes—
534C22×C4—21no—
535C22×C4—24no—
536C22×C4—28no—
537C22×C4—22no—
538C22×C4—24no—
539C22×C4—82no—
540C22×C4—612no—
541C22×C4—618no—
542C22×C4—614no—
543C22×C4—618no—
544C22×C4—614no—
545C22×C4—12216no—
546C22×C4—1228no—
547C22×C4—1228no—
548C22×C4—12216no—
549C22×C4—1228no—
550C22×C4—1224no—
551C22×C4—1222no—
552C22×C4—1228no—
553C22×C4—1221no—
554C22×C4—1221no—
555C22×C4—4884no—
556C22×C4C2×C4×D6114yes—
557C22×C4D4×D6114yes—
558C22×C4D4×D6112yes—
559C22×C4D4×D6111yescharacteristic
560C22×C4C23×D6112yes—
561C22×C4C23×D6111yescharacteristic
562M16—28no—
563M16—12216no—
564C2×C8—24no—
565C2×C8—612no—
566C2×C8—612no—
567C2×C8—12216no—
568C2×C8—1222no—
569C2×C8—1222no—
570C2×C8—1228no—
571C2×C8C23×D6114yes—
572C4⋊C4—22no—
573C4⋊C4—24no—
574C4⋊C4—612no—
575C4⋊C4—612no—
576C4⋊C4—1228no—
577C4⋊C4—1221no—
578C4⋊C4—1221no—
579C4⋊C4C23×D6114yes—
580C22⋊C4—1228no—
581C22⋊C4—1224no—
582C42—1228no—
583C42—1224no—
584C23—22no—
585C23—22no—
586C23—24no—
587C23—22no—
588C23—42no—
589C23—42no—
590C23—618no—
591C23—614no—
592C23—1224no—
593C23—1224no—
594C23C22⋊C4×D6114yes—
595C23C2×D4×D6112yes—
596C23C2×D4×D6111yescharacteristic
597Q8—24no—
598Q8—22no—
599Q8—6116no—
600Q8—618no—
601Q8—12232no—
602Q8—12216no—
603Q8—1228no—
604Q8—1224no—
605Q8C22×C4×D6114yes—
606D4—216no—
607D4—24no—
608D4—22no—
609D4—6132no—
610D4—6116no—
611D4—12232no—
612D4C22×C4×D6114yes—
613C2×C4—24no—
614C2×C4—22no—
615C2×C4—216no—
616C2×C4—24no—
617C2×C4—44no—
618C2×C4—84no—
619C2×C4—618no—
620C2×C4—614no—
621C2×C4—6116no—
622C2×C4—618no—
623C2×C4—618no—
624C2×C4—12232no—
625C2×C4—12232no—
626C2×C4—1228no—
627C2×C4—12216no—
628C2×C4—1224no—
629C2×C4—1222no—
630C2×C4—1222no—
631C2×C4—4888no—
632C2×C4—2442no—
633C2×C4—2442no—
634C2×C4C22⋊C4×D6114yes—
635C2×C4C22⋊C4×D6118yes—
636C2×C4C22×C4×D6112yes—
637C2×C4C22×C4×D6114yes—
638C2×C4C2×D4×D6112yes—
639C2×C4C2×D4×D6111yescharacteristic
640C2×C4C2×D4×D6112yes—
641C2×C4C2×D4×D6114yes—
642C2×C4C24×D6111yescharacteristic
643C8—24no—
644C8—1222no—
645C8—1222no—
646C22—28no—
647C22—22no—
648C22—22no—
649C22—24no—
650C22—48no—
651C22—42no—
652C22—42no—
653C22—618no—
654C22—12216no—
655C22—1224no—
656C22—1224no—
657C22C2×C22⋊C4×D6114yes—
658C22C2×C22⋊C4×D6112yes—
659C22#1684057212yes—
660C22#1684057812yes—
661C22C22×D4×D6111yescharacteristic
662C4—24no—
663C4—44no—
664C4—618no—
665C4—1228no—
666C4—2442no—
667C4—2442no—
668C4C2×C22⋊C4×D6114yes—
669C4C2×C22⋊C4×D6112yes—
670C4C23×C4×D6111yescharacteristic
671C4C22×D4×D6111yescharacteristic
672C2—24no—
673C2—44no—
674C2—1228no—
675C2#2145435014yesdirect product factor
676C2C22×C22⋊C4×D6111yescharacteristic
677C2C2×#1684057211yescharacteristic
678C2C2×#1684057811yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC4×C61C24×C4
FrattiniC2×C4C24×D61
FittingC2×C61×#417C2
socleC23×C61C22×D4
prime radicalC22×#14519824C2
cosocleC2×C4×C61C25
hypercenterC2×#417D61
hypocenterC61C2×#2898
LCSG ▷ C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#417

Complements

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

NH ≅ G/Ntype
2. C22×#14519785C2semidirect
3. C2×#16840243C2semidirect
4. #21454350C2direct (N × H)
5. C2×#16839760C2semidirect
6. C2×#16839772C2semidirect
7. C2×#16839769C2semidirect
8. C2×#16839758C2semidirect
9. C2×#16839755C2semidirect
10. C22×#14519700C2semidirect
11. C2×#103×D61C2semidirect
12. C2×C61×#417C2semidirect
15. C2×#14519824C4semidirect
25. C2×#14519785C22semidirect
30. #16840243C22semidirect
37. #16839772C22semidirect
38. #16839769C22semidirect
39. #16839760C22semidirect
40. #16839758C22semidirect
41. #16839755C22semidirect
48. C2×#14519700C22semidirect
49. #103×D61C22semidirect
55. C61×#417C22semidirect
60. #14519824C2×C4semidirect
71. C2×#11758224C2×C4semidirect
79. C22×Dic122C2×C4semidirect
85. C2×Q8×D61C2×C4semidirect
130. C2×#41×C61C2×C4semidirect
152. #41×C61C22×C4semidirect
189. Q8×D61C22×C4semidirect
193. #11758224C22×C4semidirect
219. C2×Dic122C22×C4semidirect
338. C2×#417D61semidirect
347. C2×C61#2898semidirect
382. #417C2×D61semidirect
397. C61C2×#2898semidirect
415. C2×#41C4×D61semidirect
500. #41C2×C4×D61semidirect
675. C2#21454350direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#145198242
C22×#145197852
C2×#168402432
#214543502
C2×#168397602
C2×#168397722
C2×#168397692
C2×#168397582
C2×#168397552
C22×#145197002
C2×#103×D612
C2×C61×#4172
C2×#289861