Finite Group Databasebeta

← #29711048

Subgroups — #29711048

Order 15616.

2096 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#11758199C211yesmaximal, characteristic, complemented
2C2×#16839907C212yesmaximal, complemented
3C2×#16839912C211yesmaximal, characteristic, complemented
4#21449175C211yesmaximal, characteristic, complemented
5#21446896C212yesmaximal, complemented
6#21446815C212yesmaximal, complemented
7#21446243C211yesmaximal, characteristic, complemented
8#21446167C212yesmaximal, complemented
9#21446112C211yesmaximal, characteristic, complemented
10#21445750C211yesmaximal, characteristic, complemented
11C2×C61×#546C211yesmaximal, characteristic, complemented
12C23×D244C2211yescharacteristic
13C22×#11758201C2212yescomplemented
14C22×#11758199—28no—
15C22×#11758199—24no—
16C22×#11758199C2212yes—
17C22×#11758199C2212yes—
18C23×#92418C2211yescharacteristic
19C2×#14519751C2212yescomplemented
20C2×#14519745—21no—
21#16839912—24no—
22#16839907—28no—
23C2×#14519701C2212yescomplemented
24C2×#14519698C2212yescomplemented
25C2×#14519698C2212yescomplemented
26C2×#14519697C2212yescomplemented
27C2×C22⋊#92418C2211yescharacteristic
28C2×C22⋊#92418C2212yescomplemented
29#16839679—21no—
30#16839671—21no—
31#16839664C2212yescomplemented
32#16839622C2211yescharacteristic
33#16839617—21no—
34#16839524C2212yescomplemented
35#16839517C2212yescomplemented
36C22×#41×C61C2211yescharacteristic, complemented
37C23×D4×C61C2211yescharacteristic
38C61×#546—24no—
39C61×#546—24no—
40C2×#124×C61C2211yescharacteristic, complemented
41C2×#123×C61—21no—
42C2×C22⋊Q8×C61C2211yescharacteristic
43C2×#121×C61—21no—
44C2×#121×C61C2211yescharacteristic, complemented
45C2×#120×C61—21no—
46C2×C4×D4×C61C2211yescharacteristic
47C2×C4×D4×C61C2211yescharacteristic, complemented
48C22×C22⋊C4×C61—21no—
49C24×D61—21no—
50C22×D244—22no—
51C22×D244—24no—
52C22×D244—22no—
53C22×D244—21no—
54C22×D244—42no—
55C22×D244C2312yes—
56C22×C22⋊D61—22no—
57C2×#11758201—24no—
58C2×#11758201—24no—
59C2×#11758201—42no—
60C2×#11758199—232no—
61C2×#11758199—24no—
62C2×#11758199—24no—
63C2×#11758199—24no—
64C2×#11758199—24no—
65C2×#11758199—24no—
66C2×#11758199D418yescomplemented
67C22×#92418—22no—
68C22×#92418—24no—
69C22×#92418C2312yes—
70C22×#92418C2312yes—
71#14519751—24no—
72#14519751—42no—
73#14519745—44no—
74C2×C4⋊Dic61C2312yes—
75C2×C22⋊Dic61—21no—
76C2×#11758198—22no—
77C2×#11758198—22no—
78C2×#11758198—22no—
79#14519701—24no—
80#14519698—24no—
81#14519698—42no—
82#14519697—24no—
83C22⋊#92418—22no—
84C22⋊#92418—24no—
85#14519684—21no—
86C25×C61—21no—
87C2×#41×C61—22no—
88C2×#41×C61—22no—
89C2×#41×C61—24no—
90C2×#41×C61—42no—
91C22×Q8×C61C2311yescharacteristic
92C22×D4×C61—24no—
93C22×D4×C61—21no—
94C22×D4×C61—21no—
95C22×D4×C61—22no—
96C22×D4×C61—21no—
97C22×D4×C61—42no—
98C22×D4×C61D411yescharacteristic
99C22×D4×C61D414yescomplemented
100C22×D4×C61C2311yescharacteristic
101C22×D4×C61C2311yescharacteristic
102C23×C4×C61—21no—
103C23×C4×C61—21no—
104C23×C4×C61C2311yescharacteristic
105C23×C4×C61C2311yescharacteristic
106#124×C61—22no—
107#124×C61—22no—
108#123×C61—28no—
109C22⋊Q8×C61—22no—
110C22⋊Q8×C61D414yescomplemented
111#121×C61—28no—
112#121×C61—22no—
113#121×C61—22no—
114#120×C61—28no—
115C4×D4×C61—22no—
116C4×D4×C61—22no—
117C4×D4×C61—22no—
118C4×D4×C61—22no—
119C2×C4⋊C4×C61—21no—
120C2×C4⋊C4×C61D411yescharacteristic
121C2×C4⋊C4×C61C2311yescharacteristic
122C2×C22⋊C4×C61—28no—
123C2×C22⋊C4×C61—21no—
124C2×C22⋊C4×C61—21no—
125C2×C22⋊C4×C61—21no—
126C2×C22⋊C4×C61—21no—
127C2×C22⋊C4×C61—21no—
128C2×C22⋊C4×C61D411yescharacteristic
129C2×C22⋊C4×C61D411yescharacteristic
130C2×C42×C61C2311yescharacteristic
131C24×C61—21no—
132C24×C61—21no—
133C24×C61—24no—
134C24×C61—44no—
135C24×C61—42no—
136C24×C61—42no—
137C24×C61—82no—
138C24×C61C2×D411yescharacteristic
139C24×C61C2×D411yescharacteristic
140C23×D61—22no—
141C23×D61—44no—
142C23×D61—42no—
143C23×D61—42no—
144C23×D61—42no—
145C23×D61—82no—
146#41×C61—48no—
147#41×C61—44no—
148#41×C61—44no—
149C2×Q8×C61—21no—
150C2×Q8×C61—22no—
151C2×Q8×C61—22no—
152C2×Q8×C61C2×D412yes—
153C2×D4×C61—28no—
154C2×D4×C61—24no—
155C2×D4×C61—22no—
156C2×D4×C61—22no—
157C2×D4×C61—22no—
158C2×D4×C61—24no—
159C2×D4×C61—24no—
160C2×D4×C61—21no—
161C2×D4×C61—22no—
162C2×D4×C61—21no—
163C2×D4×C61—22no—
164C2×D4×C61—22no—
165C2×D4×C61—44no—
166C2×D4×C61—48no—
167C2×D4×C61—44no—
168C2×D4×C61—44no—
169C2×D4×C61—82no—
170C2×D4×C61C2×D412yes—
171C2×D4×C61C2×D414yes—
172C2×D4×C61C2×D412yes—
173C22×C4×C61—22no—
174C22×C4×C61—22no—
175C22×C4×C61—24no—
176C22×C4×C61—21no—
177C22×C4×C61—21no—
178C22×C4×C61—24no—
179C22×C4×C61—21no—
180C22×C4×C61—21no—
181C22×C4×C61—22no—
182C22×C4×C61—22no—
183C22×C4×C61—44no—
184C22×C4×C61—82no—
185C22×C4×C61C2×D411yescharacteristic
186C22×C4×C61C2×D411yescharacteristic
187C22×C4×C61C2×D411yescharacteristic
188C22×C4×C61C2×D411yescharacteristic
189C22×C4×C61C2×D412yes—
190C22×C4×C61C2×D412yes—
191C22×C4×C61C2411yescharacteristic
192C2×C22⋊D61—44no—
193C2×C22⋊D61—44no—
194C2×C22⋊D61—82no—
195C22×Dic61—22no—
196C2×D244—28no—
197C2×D244—22no—
198C2×D244—22no—
199C2×D244—22no—
200C2×D244—22no—
201C2×D244—22no—
202C2×D244—48no—
203C2×D244—44no—
204C2×D244—44no—
205C2×D244—42no—
206C2×D244C2×D414yes—
207C4⋊C4×C61—24no—
208C4⋊C4×C61—22no—
209C4⋊C4×C61—21no—
210C4⋊C4×C61C2×D412yes—
211C22⋊C4×C61—24no—
212C22⋊C4×C61—24no—
213C22⋊C4×C61—24no—
214C22⋊C4×C61—24no—
215C22⋊C4×C61—22no—
216C22⋊C4×C61—24no—
217C22⋊C4×C61—22no—
218C42×C61—21no—
219C42×C61—21no—
220C22⋊Dic61—42no—
221#11758201—48no—
222#11758199—216no—
223#11758199—216no—
224#11758198—44no—
225#11758198—44no—
226#11758198—82no—
227C4⋊Dic61—22no—
228C4⋊Dic61—22no—
229C2×#92418—28no—
230C2×#92418—22no—
231C2×#92418—22no—
232C2×#92418—22no—
233C2×#92418—22no—
234C2×#92418—22no—
235C2×#92418C2×D414yes—
236C23×C61—22no—
237C23×C61—22no—
238C23×C61—22no—
239C23×C61—24no—
240C23×C61—22no—
241C23×C61—21no—
242C23×C61—22no—
243C23×C61—21no—
244C23×C61—21no—
245C23×C61—22no—
246C23×C61—48no—
247C23×C61—41no—
248C23×C61—41no—
249C23×C61—42no—
250C23×C61—42no—
251C23×C61—41no—
252C23×C61—41no—
253C23×C61—42no—
254C23×C61—48no—
255C23×C61—84no—
256C23×C61—88no—
257C23×C61—88no—
258C23×C61#12012yes—
259C23×C61#13512yes—
260C23×C61AGL(1,ℤ/8)12yes—
261C23×C61C22×D411yescharacteristic
262C22×D61—24no—
263C22×D61—48no—
264C22×D61—42no—
265C22×D61—42no—
266C22×D61—42no—
267C22×D61—42no—
268C22×D61—42no—
269C22×D61—42no—
270C22×D61—88no—
271C22×D61—88no—
272C22×D61—84no—
273C22×D61—84no—
274Q8×C61—24no—
275Q8×C61—41no—
276Q8×C61—41no—
277D4×C61—22no—
278D4×C61—22no—
279D4×C61—22no—
280D4×C61—24no—
281D4×C61—48no—
282D4×C61—48no—
283D4×C61—44no—
284D4×C61—42no—
285D4×C61—84no—
286D4×C61#12014yescomplemented
287C2×C4×C61—22no—
288C2×C4×C61—22no—
289C2×C4×C61—22no—
290C2×C4×C61—24no—
291C2×C4×C61—21no—
292C2×C4×C61—21no—
293C2×C4×C61—22no—
294C2×C4×C61—21no—
295C2×C4×C61—22no—
296C2×C4×C61—22no—
297C2×C4×C61—21no—
298C2×C4×C61—21no—
299C2×C4×C61—22no—
300C2×C4×C61—48no—
301C2×C4×C61—42no—
302C2×C4×C61—42no—
303C2×C4×C61—41no—
304C2×C4×C61—41no—
305C2×C4×C61—42no—
306C2×C4×C61—84no—
307C2×C4×C61#12012yes—
308C2×C4×C61C22×D411yescharacteristic
309C2×C4×C61C22×D412yes—
310C2×C4×C61C22×D411yescharacteristic
311C2×C4×C61H(5,𝔽2)12yes—
312C22⋊D61—88no—
313C2×Dic61—42no—
314C2×Dic61—42no—
315C2×Dic61—42no—
316D244—24no—
317D244—24no—
318D244—48no—
319D244—42no—
320D244—42no—
321#92418—24no—
322#92418—42no—
323#23851—611nomaximal, Sylow
324C22×C61—22no—
325C22×C61—22no—
326C22×C61—24no—
327C22×C61—24no—
328C22×C61—24no—
329C22×C61—42no—
330C22×C61—42no—
331C22×C61—44no—
332C22×C61—44no—
333C22×C61—41no—
334C22×C61—42no—
335C22×C61—41no—
336C22×C61—42no—
337C22×C61—41no—
338C22×C61—42no—
339C22×C61—42no—
340C22×C61—42no—
341C22×C61—816no—
342C22×C61—82no—
343C22×C61—82no—
344C22×C61#44914yescomplemented
345C22×C61C2×#12011yescharacteristic
346C22×C61D4212yes—
347C22×C61C2×#13511yescharacteristic
348C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
349C22×C61#57612yes—
350C2×D61—44no—
351C2×D61—44no—
352C2×D61—44no—
353C2×D61—816no—
354C2×D61—82no—
355C2×D61—82no—
356C2×D61—82no—
357C2×D61—82no—
358C4×C61—22no—
359C4×C61—41no—
360C4×C61—42no—
361C4×C61—41no—
362C4×C61—41no—
363C4×C61—42no—
364C4×C61C2×#12011yescharacteristic
365C4×C61#53411yescharacteristic
366C4×C61D4212yes—
367Dic61—82no—
368C23×D8—611no—
369C2×#546D6111yescharacteristic, complemented
370C2×#449—612no—
371C2×#450—611no—
372#2408—611no—
373#2012—612no—
374#1999—612no—
375#1892—611no—
376#1879—612no—
377#1869—611no—
378#1786—611no—
379C2×C61—24no—
380C2×C61—44no—
381C2×C61—81no—
382C2×C61—82no—
383C2×C61#240311yescharacteristic
384C2×C61C2×#44911yescharacteristic
385C2×C61#300811yescharacteristic
386C2×C61#326412yes—
387C2×C61#328012yes—
388D61—84no—
389C22×#41C2×D6111yescharacteristic, complemented
390C23×D4—611no—
391C23×D4C2×D6111yescharacteristic
392C22×SD16—612no—
393C22×D8—612no—
394C22×D8—612no—
395C22×D8—1228no—
396C22×D8—1224no—
397C23×C8—611no—
398#546—24no—
399#546—24no—
400C2×#124C2×D6111yescharacteristic, complemented
401C2×#123—21no—
402C2×C22⋊Q8C2×D6111yescharacteristic
403C2×#121—21no—
404C2×#121—612no—
405C2×#121C2×D6111yescharacteristic, complemented
406C2×#120—21no—
407C2×#120—1221no—
408C2×C4×D4C2×D6111yescharacteristic
409C2×C4×D4C2×D6111yescharacteristic, complemented
410C22×C22⋊C4—21no—
411#450—1224no—
412#449—1228no—
413C2×#103—612no—
414C2×#102—612no—
415C2×#102—612no—
416C2×#102—612no—
417C2×C22⋊C8—611no—
418C2×C22⋊C8—612no—
419#394—1221no—
420#392—1221no—
421#390—612no—
422#380—611no—
423#379—1221no—
424#340—612no—
425#336—612no—
426C61#2385111yescharacteristic, complemented, Sylow
427C25—21no—
428C25—1221no—
429C2×#41—22no—
430C2×#41—22no—
431C2×#41—24no—
432C2×#41—42no—
433C22×Q8C22×D6111yescharacteristic
434C22×D4—24no—
435C22×D4—21no—
436C22×D4—21no—
437C22×D4—21no—
438C22×D4—22no—
439C22×D4—42no—
440C22×D4—612no—
441C22×D4—1224no—
442C22×D4—1222no—
443C22×D4—1222no—
444C22×D4—1222no—
445C22×D4—1221no—
446C22×D4—2442no—
447C22×D4C22⋊D6111yescharacteristic
448C22×D4C22⋊D6114yescomplemented
449C22×D4C22×D6111yescharacteristic
450C22×D4C22×D6111yescharacteristic
451C23×C4—21no—
452C23×C4—21no—
453C23×C4C22×D6111yescharacteristic
454C23×C4C22×D6111yescharacteristic
455C2×SD16—1224no—
456C2×SD16—1224no—
457C2×SD16—2442no—
458C2×D8—618no—
459C2×D8—1224no—
460C2×D8—1224no—
461C2×D8—12232no—
462C2×D8—1224no—
463C2×D8—1224no—
464C2×D8—1224no—
465C22×C8—612no—
466C22×C8—612no—
467C22×C8—1224no—
468C22×C8—1222no—
469#124—22no—
470#124—22no—
471#123—28no—
472C22⋊Q8—22no—
473C22⋊Q8C22⋊D6114yescomplemented
474#121—28no—
475#121—22no—
476#121—22no—
477#121—1224no—
478#121—2442no—
479#120—28no—
480#120—2444no—
481C4×D4—22no—
482C4×D4—22no—
483C4×D4—22no—
484C4×D4—22no—
485C2×C4⋊C4—21no—
486C2×C4⋊C4—612no—
487C2×C4⋊C4C22⋊D6111yescharacteristic
488C2×C4⋊C4C22×D6111yescharacteristic
489C2×C22⋊C4—28no—
490C2×C22⋊C4—21no—
491C2×C22⋊C4—21no—
492C2×C22⋊C4—21no—
493C2×C22⋊C4—21no—
494C2×C22⋊C4—21no—
495C2×C22⋊C4—1222no—
496C2×C22⋊C4—1221no—
497C2×C22⋊C4—1222no—
498C2×C22⋊C4—1222no—
499C2×C22⋊C4C22⋊D6111yescharacteristic
500C2×C22⋊C4C22⋊D6111yescharacteristic
501C2×C42C22×D6111yescharacteristic
502#103—1224no—
503#102—1224no—
504#102—1224no—
505#102—2442no—
506C22⋊C8—1224no—
507C22⋊C8—1222no—
508#95—1221no—
509C24—21no—
510C24—21no—
511C24—24no—
512C24—44no—
513C24—42no—
514C24—42no—
515C24—82no—
516C24—1222no—
517C24—4882no—
518C24—2444no—
519C24—2442no—
520C24—2442no—
521C24—2442no—
522C24C2×C22⋊D6111yescharacteristic
523C24C2×C22⋊D6111yescharacteristic
524#41—48no—
525#41—44no—
526#41—44no—
527C2×Q8—21no—
528C2×Q8—22no—
529C2×Q8—22no—
530C2×Q8C2×C22⋊D6112yes—
531C2×D4—28no—
532C2×D4—24no—
533C2×D4—22no—
534C2×D4—22no—
535C2×D4—22no—
536C2×D4—24no—
537C2×D4—22no—
538C2×D4—21no—
539C2×D4—21no—
540C2×D4—22no—
541C2×D4—22no—
542C2×D4—24no—
543C2×D4—44no—
544C2×D4—48no—
545C2×D4—44no—
546C2×D4—44no—
547C2×D4—82no—
548C2×D4—614no—
549C2×D4—1228no—
550C2×D4—1222no—
551C2×D4—1222no—
552C2×D4—1222no—
553C2×D4—1222no—
554C2×D4—1222no—
555C2×D4—4882no—
556C2×D4—2448no—
557C2×D4—2444no—
558C2×D4—2444no—
559C2×D4—2444no—
560C2×D4—2444no—
561C2×D4—2442no—
562C2×D4D4×D6114yes—
563C2×D4C2×C22⋊D6112yes—
564C2×D4C2×C22⋊D6112yes—
565C22×C4—22no—
566C22×C4—22no—
567C22×C4—24no—
568C22×C4—21no—
569C22×C4—21no—
570C22×C4—24no—
571C22×C4—22no—
572C22×C4—21no—
573C22×C4—21no—
574C22×C4—22no—
575C22×C4—44no—
576C22×C4—82no—
577C22×C4—1222no—
578C22×C4C2×C22⋊D6111yescharacteristic
579C22×C4C2×C22⋊D6111yescharacteristic
580C22×C4C2×C22⋊D6111yescharacteristic
581C22×C4C2×C22⋊D6112yes—
582C22×C4C2×C22⋊D6112yes—
583C22×C4C2×C22⋊D6111yescharacteristic
584C22×C4C23×D6111yescharacteristic
585SD16—2448no—
586D8—12216no—
587D8—12216no—
588C2×C8—614no—
589C2×C8—1228no—
590C2×C8—1222no—
591C2×C8—1222no—
592C2×C8—1222no—
593C2×C8—1222no—
594C2×C8—1222no—
595C4⋊C4—21no—
596C4⋊C4—24no—
597C4⋊C4—22no—
598C4⋊C4—1222no—
599C4⋊C4—1222no—
600C4⋊C4C2×C22⋊D6112yes—
601C22⋊C4—24no—
602C22⋊C4—24no—
603C22⋊C4—24no—
604C22⋊C4—24no—
605C22⋊C4—22no—
606C22⋊C4—24no—
607C22⋊C4—22no—
608C22⋊C4—4882no—
609C22⋊C4—2444no—
610C22⋊C4—2444no—
611C22⋊C4—2442no—
612C42—21no—
613C42—21no—
614C23—22no—
615C23—22no—
616C23—22no—
617C23—24no—
618C23—22no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—22no—
623C23—22no—
624C23—48no—
625C23—41no—
626C23—41no—
627C23—42no—
628C23—41no—
629C23—41no—
630C23—42no—
631C23—42no—
632C23—48no—
633C23—84no—
634C23—88no—
635C23—88no—
636C23—1224no—
637C23—4884no—
638C23—4888no—
639C23—4888no—
640C23—4884no—
641C23—2448no—
642C23—2442no—
643C23—2442no—
644C23—2442no—
645C23—2442no—
646C23—2442no—
647C23—2442no—
648C23#1451974612yes—
649C23#1451979712yes—
650C23#1451980212yes—
651C23C22×C22⋊D6111yescharacteristic
652Q8—24no—
653Q8—41no—
654Q8—41no—
655D4—22no—
656D4—22no—
657D4—22no—
658D4—24no—
659D4—48no—
660D4—48no—
661D4—44no—
662D4—42no—
663D4—84no—
664D4—1224no—
665D4—1224no—
666D4—4888no—
667D4—2448no—
668D4—2442no—
669D4—2442no—
670D4#1451974514yescomplemented
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—24no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—22no—
678C2×C4—21no—
679C2×C4—22no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—48no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—42no—
690C2×C4—84no—
691C2×C4—2442no—
692C2×C4—2442no—
693C2×C4—2442no—
694C2×C4#1451974612yes—
695C2×C4C2×D4×D6112yes—
696C2×C4C22×C22⋊D6111yescharacteristic
697C2×C4C22×C22⋊D6111yescharacteristic
698C2×C4#1451982212yes—
699C8—1224no—
700C8—2442no—
701C22—24no—
702C22—24no—
703C22—22no—
704C22—22no—
705C22—24no—
706C22—44no—
707C22—44no—
708C22—42no—
709C22—42no—
710C22—42no—
711C22—42no—
712C22—41no—
713C22—42no—
714C22—41no—
715C22—42no—
716C22—41no—
717C22—42no—
718C22—816no—
719C22—82no—
720C22—82no—
721C22—48816no—
722C22—4882no—
723C22—4882no—
724C22—4882no—
725C22—4882no—
726C22—2444no—
727C22—2444no—
728C22—2444no—
729C22#1683990714yescomplemented
730C22C2×#1451974611yescharacteristic
731C22D4×C22⋊D6112yes—
732C22C2×#1451979711yescharacteristic
733C22C2×#1451980211yescharacteristic
734C22#1684056512yes—
735C4—22no—
736C4—41no—
737C4—42no—
738C4—41no—
739C4—41no—
740C4—42no—
741C4—4882no—
742C4C2×#1451974511yescharacteristic
743C4#1684032111yescharacteristic
744C4D4×C22⋊D6112yes—
745C2—24no—
746C2—44no—
747C2—81no—
748C2—82no—
749C2—4884no—
750C2#2144912911yescharacteristic
751C2C2×#1683990711yescharacteristic
752C2#2145508711yescharacteristic
753C2#2145730012yes—
754C2#2145750012yes—
subgroupG/H
centerC23C22×C22⋊D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC2×C61×#546C2
socleC23×C61C22×D4
hypercenterC2×#546D61
hypocenterC61#23851
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. C23×#11758199C2semidirect
2. C2×#16839907C2semidirect
3. C2×#16839912C2semidirect
4. #21449175C2semidirect
5. #21446896C2semidirect
6. #21446815C2semidirect
7. #21446243C2semidirect
8. #21446167C2semidirect
9. #21446112C2semidirect
10. #21445750C2semidirect
11. C2×C61×#546C2semidirect
13. C22×#11758201C22semidirect
19. C2×#14519751C22semidirect
23. C2×#14519701C22semidirect
24. C2×#14519698C22semidirect
25. C2×#14519698C22semidirect
26. C2×#14519697C22semidirect
28. C2×C22⋊#92418C22semidirect
31. #16839664C22semidirect
34. #16839524C22semidirect
35. #16839517C22semidirect
36. C22×#41×C61C22semidirect
40. C2×#124×C61C22semidirect
44. C2×#121×C61C22semidirect
47. C2×C4×D4×C61C22semidirect
66. C2×#11758199D4semidirect
99. C22×D4×C61D4semidirect
110. C22⋊Q8×C61D4semidirect
286. D4×C61#120semidirect
344. C22×C61#449semidirect
369. C2×#546D61semidirect
389. C22×#41C2×D61semidirect
400. C2×#124C2×D61semidirect
405. C2×#121C2×D61semidirect
409. C2×C4×D4C2×D61semidirect
426. C61#23851semidirect
448. C22×D4C22⋊D61semidirect
473. C22⋊Q8C22⋊D61semidirect
670. D4#14519745semidirect
729. C22#16839907semidirect

Maximal subgroups

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

subgroupindex
C23×#117581992
C2×#168399072
C2×#168399122
#214491752
#214468962
#214468152
#214462432
#214461672
#214461122
#214457502
C2×C61×#5462
#2385161