Finite Group Databasebeta

← C2×#21446198 #29681514

Subgroups — C2×#21446198 #29681514

Order 15616.

2018 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14519803C211yesmaximal, characteristic
2C2×#16840243C211yesmaximal, characteristic, complemented
3C22×#14519705C211yesmaximal, characteristic, complemented
4C2×#16839767C211yesmaximal, characteristic, complemented
5#21446198C218yesmaximal, direct product factor
6C2×#16839531C211yesmaximal, characteristic, complemented
7C2×#16839522C211yesmaximal, characteristic, complemented
8C2×C61×#390C211yesmaximal, characteristic, complemented
9C22×#11758222C2211yescharacteristic
10C2×#14519803—24no—
11C2×#14519803—22no—
12C2×#14519803C418yescomplemented
13C2×#14519803C2214yes—
14C22×#11758200—21no—
15C22×#11758199—21no—
16C22×#11758194C2211yescharacteristic
17C22×#11758194C2211yescharacteristic
18#16840243—22no—
19#16840243—22no—
20#16840243—22no—
21#16840243C2214yescomplemented
22C2×#14519742—21no—
23C2×#14519739—21no—
24C2×C4×C22⋊D61—22no—
25C2×#14519736C2211yescharacteristic
26C2×#14519735—21no—
27C2×C4⋊C4×D61—21no—
28C2×#14519705—24no—
29C2×#14519705C2214yescomplemented
30#16839767—22no—
31#16839767C2214yescomplemented
32C2×#14519698—21no—
33C2×#14519698—21no—
34#16839531C2214yescomplemented
35#16839522C2214yescomplemented
36C23×D4×C61C2211yescharacteristic
37C22×C4⋊C4×C61C2211yescharacteristic
38C22×C22⋊C4×C61—22no—
39C22×C42×C61C2211yescharacteristic
40C61×#390—22no—
41C61×#390C2214yescomplemented
42C2×#11758222—21no—
43C2×#11758222—21no—
44C2×#11758222—22no—
45C2×#11758222—22no—
46C2×#11758222C2×C414yes—
47C2×#11758222D414yes—
48C2×#11758222D412yes—
49C2×#11758222C2312yes—
50C22×Dic122D411yescharacteristic
51C22×D244D411yescharacteristic
52C22×C22⋊D61—21no—
53C22×C4×D61—21no—
54C22×C4×D61—22no—
55#14519803—216no—
56#14519803—28no—
57#14519803C2×C4116yescomplemented
58C2×#11758200—28no—
59C2×#11758200—24no—
60C2×#11758199—28no—
61C2×#11758199—24no—
62C2×#11758194—22no—
63C2×#11758194—21no—
64C2×#11758194—21no—
65C2×#11758194—22no—
66C2×#11758194—22no—
67C2×#11758194C2×C414yescomplemented
68C2×#11758194C2312yes—
69C2×#11758194C2312yes—
70C22×#92418—21no—
71C22×#92418—21no—
72#14519742—24no—
73#14519742—24no—
74#14519739—24no—
75#14519739—24no—
76C4×C22⋊D61—28no—
77C4×C22⋊D61—28no—
78#14519736—21no—
79#14519736—21no—
80#14519736D412yes—
81#14519736C2312yes—
82#14519735—24no—
83#14519735—24no—
84C2×C4⋊Dic61D411yescharacteristic
85C2×C4⋊Dic61D411yescharacteristic
86C2×#11758196—22no—
87C4⋊C4×D61—24no—
88C4⋊C4×D61—24no—
89C2×C22⋊Dic61—21no—
90C2×#11758198—22no—
91C2×C4×Dic61—22no—
92C2×C4×Dic61—21no—
93#14519705—28no—
94#14519698—24no—
95#14519698—24no—
96C25×C61—21no—
97C22×D4×C61—21no—
98C22×D4×C61—21no—
99C22×D4×C61—21no—
100C22×D4×C61—21no—
101C22×D4×C61—22no—
102C22×D4×C61—21no—
103C22×D4×C61—22no—
104C22×D4×C61—22no—
105C22×D4×C61C2×C414yescomplemented
106C22×D4×C61C2312yes—
107C23×C4×C61—21no—
108C23×C4×C61D412yes—
109C23×C4×C61C2311yescharacteristic
110C2×C4⋊C4×C61—21no—
111C2×C4⋊C4×C61—21no—
112C2×C4⋊C4×C61—21no—
113C2×C4⋊C4×C61—21no—
114C2×C4⋊C4×C61D412yes—
115C2×C4⋊C4×C61C2312yes—
116C2×C22⋊C4×C61—28no—
117C2×C22⋊C4×C61—48no—
118C2×C42×C61—22no—
119C2×C42×C61—22no—
120C2×C42×C61—21no—
121C2×C42×C61C2312yes—
122C24×C61—24no—
123C24×C61—22no—
124C24×C61—44no—
125C24×C61—44no—
126C24×C61—41no—
127C24×C61—41no—
128C24×C61—42no—
129C24×C61C2×D411yescharacteristic
130C23×D61—21no—
131C2×D4×C61—24no—
132C2×D4×C61—24no—
133C2×D4×C61—24no—
134C2×D4×C61—24no—
135C2×D4×C61—24no—
136C2×D4×C61—22no—
137C2×D4×C61—22no—
138C2×D4×C61—22no—
139C2×D4×C61—22no—
140C2×D4×C61—22no—
141C2×D4×C61—41no—
142C2×D4×C61—41no—
143C2×D4×C61—42no—
144C2×D4×C61—42no—
145C2×D4×C61—42no—
146C2×D4×C61—42no—
147C2×D4×C61—42no—
148C2×D4×C61C22×C414yescomplemented
149C22×C4×C61—24no—
150C22×C4×C61—22no—
151C22×C4×C61—22no—
152C22×C4×C61—22no—
153C22×C4×C61—42no—
154C22×C4×C61—42no—
155C22×C4×C61—44no—
156C22×C4×C61C22×C412yes—
157C22×C4×C61C2×D414yes—
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2×D411yescharacteristic
160C22×C4×C61C2×D412yes—
161C22×C4×C61C2×D411yescharacteristic
162C22×C4×C61C2×D411yescharacteristic
163C22×C4×C61C2×D411yescharacteristic
164C22×C4×C61#4112yes—
165C22×C4×C61#4112yes—
166C22×C4×C61C2411yescharacteristic
167C2×C22⋊D61—24no—
168C2×C22⋊D61—22no—
169C2×C22⋊D61—24no—
170C2×C22⋊D61—22no—
171C22×Dic61—21no—
172C22×Dic61—21no—
173C22×Dic61—21no—
174#11758222—24no—
175#11758222—24no—
176#11758222—24no—
177#11758222—24no—
178#11758222—24no—
179#11758222—22no—
180#11758222—22no—
181#11758222C22⋊C418yescomplemented
182#11758222C22×C414yes—
183#11758222C2×D414yes—
184C2×D244—21no—
185C2×D244—22no—
186C2×D244C22⋊C414yescomplemented
187C2×D244C2×D412yes—
188C2×C4×D61—24no—
189C2×C4×D61—22no—
190C2×C4×D61—24no—
191C2×C4×D61—22no—
192C2×C4×D61—28no—
193C2×C4×D61—84no—
194C2×Dic122—21no—
195C2×Dic122—22no—
196C2×Dic122C22⋊C414yescomplemented
197C2×Dic122C2×D412yes—
198C4⋊C4×C61—22no—
199C4⋊C4×C61—22no—
200C4⋊C4×C61—22no—
201C4⋊C4×C61—22no—
202C22⋊C4×C61—416no—
203C42×C61—22no—
204C42×C61—22no—
205C42×C61—42no—
206C22⋊Dic61—22no—
207C22⋊Dic61—22no—
208#11758200—216no—
209#11758199—216no—
210#11758198—28no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61C2×D412yes—
214C4⋊Dic61C2×D412yes—
215#11758196—28no—
216C4×Dic61—28no—
217C4×Dic61—22no—
218C4×Dic61—22no—
219#11758194—24no—
220#11758194—22no—
221#11758194—22no—
222#11758194—22no—
223#11758194—42no—
224#11758194C22×C414yescomplemented
225C2×#92418—24no—
226C2×#92418—22no—
227C2×#92418—22no—
228C2×#92418—42no—
229C23×C61—22no—
230C23×C61—22no—
231C23×C61—24no—
232C23×C61—44no—
233C23×C61—416no—
234C23×C61—44no—
235C23×C61—42no—
236C23×C61—42no—
237C23×C61—44no—
238C23×C61—44no—
239C23×C61—88no—
240C23×C61—82no—
241C23×C61—82no—
242C23×C61—82no—
243C23×C61—82no—
244C23×C61C4×D412yes—
245C23×C61#12011yescharacteristic
246C23×C61#12011yescharacteristic
247C23×C61#12112yes—
248C23×C61C22×D411yescharacteristic
249C22×D61—22no—
250C22×D61—24no—
251C22×D61—42no—
252C22×D61—42no—
253D4×C61—24no—
254D4×C61—24no—
255D4×C61—42no—
256D4×C61—42no—
257D4×C61—44no—
258D4×C61—44no—
259C2×C4×C61—24no—
260C2×C4×C61—24no—
261C2×C4×C61—48no—
262C2×C4×C61—42no—
263C2×C4×C61—42no—
264C2×C4×C61—44no—
265C2×C4×C61—44no—
266C2×C4×C61—82no—
267C2×C4×C61C2×C22⋊C412yes—
268C2×C4×C61C2×C22⋊C412yes—
269C2×C4×C61C4×D412yes—
270C2×C4×C61C4×D412yes—
271C2×C4×C61C4×D412yes—
272C2×C4×C61#12011yescharacteristic
273C2×C4×C61#12011yescharacteristic
274C2×C4×C61#12112yes—
275C2×C4×C61#12112yes—
276C2×C4×C61#12112yes—
277C2×C4×C61#12312yes—
278C2×C4×C61#12312yes—
279C2×C4×C61C23×C411yescharacteristic
280C2×C4×C61C22×D411yescharacteristic
281C2×C4×C61C22×D411yescharacteristic
282C2×C4×C61C22×D411yescharacteristic
283C2×C4×C61C2×#4111yescharacteristic
284C2×C4×C61C2×#4111yescharacteristic
285C22⋊D61—24no—
286C22⋊D61—24no—
287C22⋊D61—28no—
288C2×Dic61—22no—
289C2×Dic61—24no—
290C2×Dic61—22no—
291C2×Dic61—22no—
292C2×Dic61—42no—
293C2×Dic61—42no—
294D244—22no—
295D244—24no—
296D244C2×C22⋊C414yescomplemented
297C4×D61—24no—
298C4×D61—24no—
299C4×D61—28no—
300C4×D61—88no—
301Dic122—22no—
302Dic122—24no—
303Dic122C2×C22⋊C414yescomplemented
304#92418—24no—
305#92418—42no—
306C2×#1883—611nomaximal, Sylow
307C22×C61—24no—
308C22×C61—24no—
309C22×C61—21no—
310C22×C61—21no—
311C22×C61—21no—
312C22×C61—21no—
313C22×C61—48no—
314C22×C61—44no—
315C22×C61—84no—
316C22×C61—88no—
317C22×C61—88no—
318C22×C61—82no—
319C22×C61—82no—
320C22×C61#38612yes—
321C22×C61#38612yes—
322C22×C61#45312yes—
323C22×C61#45412yes—
324C22×C61C2×C4×D411yescharacteristic
325C22×C61C2×#12011yescharacteristic
326C22×C61C2×#12111yescharacteristic
327C2×D61—24no—
328C2×D61—48no—
329C2×D61—42no—
330C2×D61—42no—
331C4×C61—44no—
332C4×C61—44no—
333C4×C61#38612yes—
334C4×C61#38612yes—
335C4×C61C22×C22⋊C411yescharacteristic
336C4×C61C2×C4×D411yescharacteristic
337C4×C61C2×#12111yescharacteristic
338C4×C61C2×#12311yescharacteristic
339Dic61—24no—
340Dic61—42no—
341Dic61—42no—
342C22×AGL(1,ℤ/8)—611no—
343C2×#520—611no—
344C22×#104—611no—
345C2×#418—611no—
346C2×#390D6111yescharacteristic, complemented
347#1883—618no—
348C2×#343—611no—
349C2×#339—611no—
350C2×C61—21no—
351C2×C61—21no—
352C2×C61—22no—
353C2×C61—84no—
354C2×C61#188314yescomplemented
355C2×C61C2×#38611yescharacteristic
356C2×C61C2×#45311yescharacteristic
357C2×C61C2×#45411yescharacteristic
358D61—44no—
359C22×#41—611no—
360C23×D4C2×D6111yescharacteristic
361C2×AGL(1,ℤ/8)—618no—
362C2×AGL(1,ℤ/8)—614no—
363C2×AGL(1,ℤ/8)—1222no—
364C2×AGL(1,ℤ/8)—1224no—
365C22×SD16—1221no—
366C22×D8—1221no—
367C22×M16—611no—
368C22×M16—611no—
369#520—614no—
370#520—1222no—
371#520—1222no—
372#520—1222no—
373C2×C4×Q8—1221no—
374C2×C4×D4—1221no—
375C2×C4×D4—1222no—
376C2×#117—611no—
377C2×#117—1221no—
378C22×C4⋊C4—1221no—
379C22×C4⋊C4C2×D6111yescharacteristic
380C22×C22⋊C4—22no—
381C22×C42C2×D6111yescharacteristic
382C2×#104—614no—
383C2×#104—1224no—
384#418—614no—
385#418—1222no—
386C2×#102—1221no—
387C2×#102—1221no—
388#390—22no—
389#390C2×D6114yescomplemented
390#343—614no—
391#339—614no—
392C61C2×#188311yescharacteristic, complemented, Sylow
393C25—21no—
394C2×#41—614no—
395C2×#41—612no—
396C2×#41—614no—
397C2×#41—612no—
398C2×#41—1222no—
399C2×#41—1221no—
400C2×#41—1222no—
401C2×#41—1221no—
402C22×Q8—611no—
403C22×D4—22no—
404C22×D4—21no—
405C22×D4—21no—
406C22×D4—22no—
407C22×D4—21no—
408C22×D4—21no—
409C22×D4—22no—
410C22×D4—21no—
411C22×D4—611no—
412C22×D4—1221no—
413C22×D4C4×D6114yescomplemented
414C22×D4C22×D6112yes—
415C23×C4—21no—
416C23×C4—1222no—
417C23×C4—1221no—
418C23×C4C22⋊D6112yes—
419C23×C4C22×D6111yescharacteristic
420AGL(1,ℤ/8)—6116no—
421AGL(1,ℤ/8)—1228no—
422AGL(1,ℤ/8)—12216no—
423C2×SD16—1224no—
424C2×SD16—1228no—
425C2×D8—1224no—
426C2×D8—1228no—
427C2×M16—614no—
428C2×M16—612no—
429C2×M16—612no—
430C2×M16—1221no—
431C2×M16—1222no—
432C2×M16—1221no—
433C2×M16—1222no—
434C2×M16—1222no—
435C22×C8—1221no—
436C22×C8—1221no—
437C4×Q8—1224no—
438C4×Q8—1224no—
439C4×D4—1224no—
440C4×D4—1224no—
441C4×D4—1228no—
442C4×D4—1228no—
443#117—612no—
444#117—612no—
445#117—1224no—
446#117—1224no—
447#117—1221no—
448#117—1221no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—611no—
454C2×C4⋊C4—611no—
455C2×C4⋊C4—1224no—
456C2×C4⋊C4—1224no—
457C2×C4⋊C4—1222no—
458C2×C4⋊C4C22⋊D6112yes—
459C2×C4⋊C4C22×D6112yes—
460C2×C22⋊C4—28no—
461C2×C22⋊C4—48no—
462C2×C22⋊C4—1222no—
463C2×C22⋊C4—1221no—
464C2×C42—22no—
465C2×C42—22no—
466C2×C42—21no—
467C2×C42—1222no—
468C2×C42—1221no—
469C2×C42C22×D6112yes—
470#104—1228no—
471#102—1224no—
472#102—1224no—
473C24—22no—
474C24—24no—
475C24—44no—
476C24—44no—
477C24—41no—
478C24—41no—
479C24—42no—
480C24—1221no—
481C24C2×C22⋊D6111yescharacteristic
482#41—614no—
483#41—614no—
484#41—618no—
485#41—1222no—
486#41—1222no—
487#41—1224no—
488#41—1224no—
489#41—1224no—
490#41—1224no—
491#41—1224no—
492C2×Q8—612no—
493C2×Q8—614no—
494C2×Q8—1221no—
495C2×Q8—1222no—
496C2×D4—22no—
497C2×D4—22no—
498C2×D4—22no—
499C2×D4—22no—
500C2×D4—22no—
501C2×D4—24no—
502C2×D4—24no—
503C2×D4—24no—
504C2×D4—24no—
505C2×D4—24no—
506C2×D4—41no—
507C2×D4—41no—
508C2×D4—42no—
509C2×D4—42no—
510C2×D4—42no—
511C2×D4—42no—
512C2×D4—42no—
513C2×D4—612no—
514C2×D4—614no—
515C2×D4—1222no—
516C2×D4—1224no—
517C2×D4—1222no—
518C2×D4—1224no—
519C2×D4—1221no—
520C2×D4—1222no—
521C2×D4C2×C4×D6114yescomplemented
522C22×C4—24no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—42no—
527C22×C4—42no—
528C22×C4—44no—
529C22×C4—1228no—
530C22×C4—1221no—
531C22×C4—1222no—
532C22×C4—1224no—
533C22×C4—1222no—
534C22×C4—1224no—
535C22×C4—1221no—
536C22×C4—1221no—
537C22×C4—4884no—
538C22×C4C2×C4×D6112yes—
539C22×C4#1175822212yes—
540C22×C4D4×D6111yescharacteristic
541C22×C4D4×D6111yescharacteristic
542C22×C4D4×D6112yes—
543C22×C4D4×D6111yescharacteristic
544C22×C4D4×D6111yescharacteristic
545C22×C4#1175822412yes—
546C22×C4C2×C22⋊D6114yes—
547C22×C4C2×C22⋊D6111yescharacteristic
548C22×C4C23×D6111yescharacteristic
549SD16—12216no—
550D8—12216no—
551M16—614no—
552M16—1222no—
553M16—1224no—
554M16—1222no—
555M16—1222no—
556M16—2442no—
557C2×C8—1222no—
558C2×C8—1224no—
559C2×C8—1222no—
560C2×C8—2442no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—612no—
566C4⋊C4—612no—
567C4⋊C4—1228no—
568C4⋊C4—1221no—
569C4⋊C4—1221no—
570C22⋊C4—416no—
571C22⋊C4—1228no—
572C22⋊C4—1222no—
573C22⋊C4—1222no—
574C42—22no—
575C42—22no—
576C42—42no—
577C42—1228no—
578C42—1222no—
579C42—1222no—
580C23—22no—
581C23—22no—
582C23—24no—
583C23—44no—
584C23—44no—
585C23—416no—
586C23—42no—
587C23—42no—
588C23—44no—
589C23—44no—
590C23—82no—
591C23—82no—
592C23—88no—
593C23—82no—
594C23—82no—
595C23—1222no—
596C23—1224no—
597C23—2442no—
598C23—2442no—
599C23C4×C22⋊D6112yes—
600C23#1451974511yescharacteristic
601C23#1451974511yescharacteristic
602C23#1451974812yes—
603C23C22×C22⋊D6111yescharacteristic
604Q8—614no—
605Q8—1222no—
606Q8—1224no—
607D4—24no—
608D4—24no—
609D4—42no—
610D4—42no—
611D4—44no—
612D4—44no—
613D4—614no—
614D4—1224no—
615D4—1224no—
616D4—1228no—
617D4—1222no—
618D4—1224no—
619C2×C4—24no—
620C2×C4—24no—
621C2×C4—42no—
622C2×C4—48no—
623C2×C4—42no—
624C2×C4—44no—
625C2×C4—44no—
626C2×C4—82no—
627C2×C4—1222no—
628C2×C4—1224no—
629C2×C4—1224no—
630C2×C4—1224no—
631C2×C4—1228no—
632C2×C4—1222no—
633C2×C4—1222no—
634C2×C4—4888no—
635C2×C4—2442no—
636C2×C4—2442no—
637C2×C4C22⋊C4×D6112yes—
638C2×C4C22⋊C4×D6112yes—
639C2×C4#1451973712yes—
640C2×C4#1451973712yes—
641C2×C4C4×C22⋊D6112yes—
642C2×C4#1451974511yescharacteristic
643C2×C4#1451974511yescharacteristic
644C2×C4#1451974812yes—
645C2×C4#1451975012yes—
646C2×C4#1451975012yes—
647C2×C4#1451975912yes—
648C2×C4#1451975912yes—
649C2×C4C22×C4×D6111yescharacteristic
650C2×C4C2×D4×D6111yescharacteristic
651C2×C4C2×D4×D6111yescharacteristic
652C2×C4C2×D4×D6111yescharacteristic
653C2×C4C2×#1175822411yescharacteristic
654C2×C4C2×#1175822211yescharacteristic
655C8—1224no—
656C8—2442no—
657C22—21no—
658C22—21no—
659C22—21no—
660C22—21no—
661C22—24no—
662C22—24no—
663C22—48no—
664C22—44no—
665C22—84no—
666C22—88no—
667C22—82no—
668C22—82no—
669C22—88no—
670C22—1224no—
671C22—2442no—
672C22—2442no—
673C22—2448no—
674C22#1683963812yes—
675C22#1683963812yes—
676C22#1683992912yes—
677C22#1683993412yes—
678C22C2×C4×C22⋊D6111yescharacteristic
679C22C2×#1451974511yescharacteristic
680C22C2×#1451974811yescharacteristic
681C4—44no—
682C4—44no—
683C4—1224no—
684C4—2442no—
685C4—2442no—
686C4#1683963812yes—
687C4#1683963812yes—
688C4C2×C22⋊C4×D6111yescharacteristic
689C4C2×#1451973711yescharacteristic
690C4C2×#1451975011yescharacteristic
691C4C2×#1451975911yescharacteristic
692C2—21no—
693C2—21no—
694C2—22no—
695C2—84no—
696C2—2444no—
697C2#2144619814yesdirect product factor
698C2C2×#1683963811yescharacteristic
699C2C2×#1683992911yescharacteristic
700C2C2×#1683993411yescharacteristic
subgroupG/H
centerC23#14519745
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC2×C61×#390C2
socleC23×C61#120
prime radicalC22×#14519803C2
cosocleC22×C4×C61C24
hypercenterC2×#390D61
hypocenterC61C2×#1883
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#390

Complements

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

NH ≅ G/Ntype
2. C2×#16840243C2semidirect
3. C22×#14519705C2semidirect
4. C2×#16839767C2semidirect
5. #21446198C2direct (N × H)
6. C2×#16839531C2semidirect
7. C2×#16839522C2semidirect
8. C2×C61×#390C2semidirect
12. C2×#14519803C4semidirect
21. #16840243C22semidirect
29. C2×#14519705C22semidirect
31. #16839767C22semidirect
34. #16839531C22semidirect
35. #16839522C22semidirect
41. C61×#390C22semidirect
57. #14519803C2×C4semidirect
67. C2×#11758194C2×C4semidirect
105. C22×D4×C61C2×C4semidirect
148. C2×D4×C61C22×C4semidirect
181. #11758222C22⋊C4semidirect
186. C2×D244C22⋊C4semidirect
196. C2×Dic122C22⋊C4semidirect
224. #11758194C22×C4semidirect
296. D244C2×C22⋊C4semidirect
303. Dic122C2×C22⋊C4semidirect
346. C2×#390D61semidirect
354. C2×C61#1883semidirect
389. #390C2×D61semidirect
392. C61C2×#1883semidirect
413. C22×D4C4×D61semidirect
521. C2×D4C2×C4×D61semidirect
697. C2#21446198direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#145198032
C2×#168402432
C22×#145197052
C2×#168397672
#214461982
C2×#168395312
C2×#168395222
C2×C61×#3902
C2×#188361