Finite Group Databasebeta

← #29682716

Subgroups — #29682716

Order 15616.

1198 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839762C211yesmaximal, characteristic
2C2×#16839762C211yesmaximal, characteristic
3C2×#16839714C211yesmaximal, characteristic, complemented
4#21448308C211yesmaximal, characteristic
5#389×D61C211yesmaximal, characteristic, complemented
6#21446516C211yesmaximal, characteristic, complemented
7#21446515C211yesmaximal, characteristic, complemented
8#21446512C211yesmaximal, characteristic, complemented
9#21446503C211yesmaximal, characteristic, complemented
10#21446500C211yesmaximal, characteristic, complemented
11#21446497C211yesmaximal, characteristic, complemented
12#21446492C211yesmaximal, characteristic, complemented
13#21445537C211yesmaximal, characteristic, complemented
14#21445537C211yesmaximal, characteristic, complemented
15C61×#1935C211yesmaximal, characteristic, complemented
16C22×#11758226C2211yescharacteristic
17C22×#11758189C2211yescharacteristic
18C22×#11758189C2211yescharacteristic
19C2×#14519735C2211yescharacteristic
20C2×C4⋊C4×D61—21no—
21C2×C4⋊C4×D61C2211yescharacteristic
22C2×C4⋊C4×D61C2211yescharacteristic
23C2×C42×D61C2211yescharacteristic
24#16839762—24no—
25#16839762C418yescomplemented
26C2×#14519701C2211yescharacteristic
27C2×#14519701C2211yescharacteristic
28C2×#14519699C2211yescharacteristic
29C2×#14519699C2211yescharacteristic
30C2×#14519697C2211yescharacteristic
31C2×#14519697C2211yescharacteristic
32#16839714—24no—
33C2×#14519688C2211yescharacteristic
34C2×C8×Dic61C2211yescharacteristic
35C2×C8×Dic61C2211yescharacteristic
36#16839669C2211yescharacteristic
37#16839664C2211yescharacteristic
38#16839663C2211yescharacteristic
39#16839661C2211yescharacteristic
40#16839660C2211yescharacteristic
41#16839659—21no—
42#16839658C2211yescharacteristic
43#16839657—21no—
44#16839640—21no—
45#16839640—21no—
46#16839609—21no—
47#16839609—21no—
48#95×D61—21no—
49#16839525C2211yescharacteristic
50#16839525C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839524C2211yescharacteristic
54#16839524C2211yescharacteristic
55C2×#103×C61C2211yescharacteristic
56C2×#103×C61C2211yescharacteristic
57C2×#97×C61C2211yescharacteristic
58C61×#391C2211yescharacteristic
59C61×#389C2211yescharacteristic
60C61×#340C2211yescharacteristic
61C61×#340C2211yescharacteristic
62C2×#11758226—22no—
63C2×#11758226—22no—
64C2×#11758226—22no—
65C2×#11758226—22no—
66C2×#11758226—22no—
67C2×#11758226C2×C414yes—
68C22×D244—21no—
69C22×D244C2311yescharacteristic
70C22×C4×D61—21no—
71C22×C4×D61—21no—
72C22×C4×D61—21no—
73C22×C4×D61D411yescharacteristic
74C22×C4×D61D411yescharacteristic
75C22×C4×D61C2311yescharacteristic
76C2×#11758189—22no—
77C2×#11758189—22no—
78C2×#11758189—22no—
79C2×#11758189—22no—
80C2×#11758189C2×C414yes—
81C2×#11758189D414yes—
82C22×#92418C2311yescharacteristic
83C22×#92418C2311yescharacteristic
84#14519735—22no—
85#14519735—22no—
86C2×C4⋊Dic61—21no—
87C2×C4⋊Dic61C2311yescharacteristic
88C2×C4⋊Dic61C2311yescharacteristic
89C2×C4⋊Dic61C2311yescharacteristic
90C2×#11758196—21no—
91C2×#11758196—21no—
92C2×#11758196—21no—
93C2×#11758196—21no—
94C4⋊C4×D61—22no—
95C4⋊C4×D61—22no—
96C4⋊C4×D61—22no—
97C4⋊C4×D61—44no—
98C4⋊C4×D61C2×C414yes—
99C2×#11758198—21no—
100C2×#11758198—21no—
101C2×#11758198—21no—
102C2×#11758198—21no—
103C2×#11758198—21no—
104C2×C4×Dic61—21no—
105C2×C4×Dic61D411yescharacteristic
106C2×C4×Dic61D411yescharacteristic
107C2×C4×Dic61C2311yescharacteristic
108C42×D61—22no—
109C42×D61—22no—
110#14519701—22no—
111#14519701C2×C414yescomplemented
112#14519699—22no—
113#14519699C2×C414yescomplemented
114#14519697—22no—
115#14519697C2×C414yescomplemented
116#14519688—22no—
117C8×Dic61—22no—
118C8×Dic61—22no—
119#14519684—21no—
120#14519684—21no—
121#14519684—21no—
122#14519684—21no—
123#14519684—21no—
124C22×Q8×C61C2311yescharacteristic
125C22×C8×C61C2311yescharacteristic
126C22×C8×C61C2311yescharacteristic
127C2×C4⋊C4×C61—21no—
128C2×C4⋊C4×C61C2311yescharacteristic
129C2×C4⋊C4×C61C2311yescharacteristic
130C2×C4⋊C4×C61C2311yescharacteristic
131C2×C42×C61C2311yescharacteristic
132#103×C61—22no—
133#103×C61C2×C414yescomplemented
134#97×C61—22no—
135#95×C61—21no—
136#95×C61—21no—
137#95×C61—21no—
138C23×D61—21no—
139C23×D61C2×D411yescharacteristic
140C2×Q8×C61—21no—
141C2×Q8×C61—21no—
142C2×Q8×C61—21no—
143C2×Q8×C61—21no—
144C2×Q8×C61—21no—
145C2×Q8×C61C22×C412yes—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61—21no—
149C22×C4×C61—21no—
150C22×C4×C61C2×D411yescharacteristic
151C22×C4×C61C2×D411yescharacteristic
152C22×C4×C61C2411yescharacteristic
153C22×Dic61—21no—
154C22×Dic61—21no—
155C22×Dic61—21no—
156C22×Dic61C2×D411yescharacteristic
157C22×Dic61C2×D411yescharacteristic
158C22×Dic61C2×D411yescharacteristic
159#11758226—28no—
160#11758226—28no—
161#11758226—44no—
162#11758226—44no—
163C2×D244—21no—
164C2×D244—21no—
165C2×D244—21no—
166C2×D244—21no—
167C2×D244—24no—
168C2×D244—21no—
169C2×D244—42no—
170C2×D244—42no—
171C2×D244C22×C412yes—
172C2×C4×D61—24no—
173C2×C4×D61—22no—
174C2×C4×D61—22no—
175C2×C4×D61—24no—
176C2×C4×D61—22no—
177C2×C4×D61—22no—
178C2×C4×D61—41no—
179C2×C4×D61—41no—
180C2×C4×D61—42no—
181C2×C4×D61—42no—
182C2×C4×D61—42no—
183C2×C4×D61—42no—
184C2×C4×D61—42no—
185C2×C4×D61—42no—
186C2×C4×D61—42no—
187C2×C4×D61C22×C412yes—
188C2×C4×D61C2×D412yes—
189C2×C4×D61#4112yes—
190C2×C4×D61#4112yes—
191C2×C4×D61#4112yes—
192C2×C4×D61#4112yes—
193C2×C8×C61—21no—
194C2×C8×C61—21no—
195C2×C8×C61—21no—
196C2×C8×C61—21no—
197C2×C8×C61C22×C412yes—
198C2×C8×C61C2×D412yes—
199C4⋊C4×C61—21no—
200C4⋊C4×C61—21no—
201C4⋊C4×C61—21no—
202C4⋊C4×C61—21no—
203C4⋊C4×C61—21no—
204C4⋊C4×C61—42no—
205C4⋊C4×C61C22×C412yes—
206C42×C61—21no—
207C42×C61—21no—
208#11758198—42no—
209#11758198—42no—
210#11758198—42no—
211#11758198—42no—
212#11758198—42no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61—21no—
216C4⋊Dic61—21no—
217C4⋊Dic61—21no—
218C4⋊Dic61—42no—
219C4⋊Dic61C22×C412yes—
220#11758196—24no—
221#11758196—42no—
222#11758196—42no—
223#11758196—42no—
224C4×Dic61—21no—
225C4×Dic61—21no—
226C4×Dic61—22no—
227C4×Dic61—22no—
228C4×Dic61—42no—
229C2×#92418—21no—
230C2×#92418—21no—
231C2×#92418—21no—
232C2×#92418—21no—
233C2×#92418C22×C412yes—
234C2×#92418C2×D412yes—
235#11758189—28no—
236#11758189—28no—
237C23×C61C22×D411yescharacteristic
238C22×D61—21no—
239C22×D61—21no—
240C22×D61—21no—
241C22×D61—21no—
242C22×D61—22no—
243C22×D61—41no—
244C22×D61—41no—
245C22×D61—41no—
246C22×D61—41no—
247C22×D61—41no—
248C22×D61—41no—
249C22×D61C4×D412yes—
250C22×D61#12112yes—
251C22×D61#12412yes—
252Q8×C61—22no—
253Q8×C61—22no—
254Q8×C61—41no—
255Q8×C61—41no—
256C2×C4×C61—22no—
257C2×C4×C61—22no—
258C2×C4×C61—21no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—21no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61—41no—
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×C61C23×C411yescharacteristic
275C2×C4×C61C22×D411yescharacteristic
276C2×C4×C61C2×#4111yescharacteristic
277C2×C4×C61C2×#4111yescharacteristic
278C2×C4×C61C2×#4111yescharacteristic
279C2×C4×C61C2×#4111yescharacteristic
280C2×Dic61—21no—
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—22no—
285C2×Dic61—41no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61C4×D412yes—
294C2×Dic61#12112yes—
295C2×Dic61#12412yes—
296C2×Dic61AGL(1,ℤ/8)12yes—
297C2×Dic61#13712yes—
298D244—22no—
299D244—22no—
300D244—48no—
301D244—41no—
302D244—41no—
303C4×D61—44no—
304C4×D61—44no—
305C4×D61—48no—
306C4×D61—48no—
307C4×D61—84no—
308C4×D61#11714yes—
309C4×D61C4×D414yes—
310C4×D61#12314yes—
311C4×D61#12614yes—
312C8×C61—22no—
313C8×C61—22no—
314#92418—22no—
315#92418—22no—
316#21093—611nomaximal, Sylow
317C22×C61C2×C4×D411yescharacteristic
318C22×C61C2×#12111yescharacteristic
319C22×C61C2×#12411yescharacteristic
320C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
321C22×C61C2×#13711yescharacteristic
322C22×C61#57511yescharacteristic
323C22×C61#57511yescharacteristic
324C2×D61—22no—
325C2×D61—22no—
326C2×D61—22no—
327C2×D61—22no—
328C2×D61—22no—
329C2×D61—22no—
330C2×D61—42no—
331C2×D61—42no—
332C2×D61—42no—
333C2×D61—81no—
334C2×D61—81no—
335C2×D61—81no—
336C2×D61—81no—
337C2×D61#38814yes—
338C4×C61—42no—
339C4×C61—41no—
340C4×C61—41no—
341C4×C61—42no—
342C4×C61—81no—
343C4×C61—81no—
344C4×C61C2×#11711yescharacteristic
345C4×C61C2×C4×D411yescharacteristic
346C4×C61C2×#12311yescharacteristic
347C4×C61C2×#12611yescharacteristic
348Dic61—22no—
349Dic61—22no—
350Dic61—42no—
351Dic61—81no—
352Dic61—81no—
353Dic61#38814yes—
354C2×#417—611no—
355C2×#417—611no—
356C2×C4×M16—611no—
357#2297—611no—
358C2×#389—611no—
359#1936—611no—
360#1936—611no—
361#1935—611no—
362#1935D6111yescharacteristic, complemented
363#1934—611no—
364#1934—611no—
365#1933—611no—
366#1933—611no—
367#1736—611no—
368#1736—611no—
369C2×C61C2×#38811yescharacteristic
370C2×C61C4×AGL(1,ℤ/8)11yescharacteristic
371C2×C61C4×#13711yescharacteristic
372C2×C61#305511yescharacteristic
373C2×C61#305611yescharacteristic
374C2×C61#314111yescharacteristic
375C2×C61#314211yescharacteristic
376D61—24no—
377D61—82no—
378C22×#41—611no—
379C22×M16—611no—
380C22×M16—611no—
381C2×#117—611no—
382C22×C4⋊C4—611no—
383C22×C4⋊C4—611no—
384C22×C4⋊C4—1221no—
385C22×C42—611no—
386#417—618no—
387#417—1224no—
388C2×#103—611no—
389C2×#103—611no—
390C2×#103C2×D6111yescharacteristic
391C2×#103C2×D6111yescharacteristic
392C2×#102—611no—
393C2×#102—611no—
394C2×#102—611no—
395C2×#102—611no—
396C4×M16—1224no—
397C2×#97—611no—
398C2×#97C2×D6111yescharacteristic
399C2×C4×C8—611no—
400C2×C4×C8—611no—
401#391—611no—
402#391C2×D6111yescharacteristic
403#390—611no—
404#390—611no—
405#389—611no—
406#389—611no—
407#389—611no—
408#389—1221no—
409#389—1221no—
410#389C2×D6111yescharacteristic
411#386—1221no—
412#386—1221no—
413C4×C22⋊C4—1221no—
414C4×C22⋊C4—1221no—
415C2×#95—1221no—
416#340—611no—
417#340—611no—
418#340—611no—
419#340—611no—
420#340—611no—
421#340—611no—
422#340C2×D6111yescharacteristic
423#340C2×D6111yescharacteristic
424C61#2109311yescharacteristic, complemented, Sylow
425C2×#41—614no—
426C2×#41—1222no—
427C2×#41—1222no—
428C2×#41—1222no—
429C2×#41—1222no—
430C2×#41—1222no—
431C22×Q8C22×D6111yescharacteristic
432C22×D4—611no—
433C22×D4—1221no—
434C23×C4—611no—
435C23×C4—611no—
436C23×C4—611no—
437C23×C4—1221no—
438C23×C4—1221no—
439C23×C4—1221no—
440C2×M16—614no—
441C2×M16—614no—
442C2×M16—1222no—
443C2×M16—1222no—
444C2×M16—1222no—
445C2×M16—1222no—
446C22×C8—611no—
447C22×C8—611no—
448C22×C8C22×D6111yescharacteristic
449C22×C8C22×D6111yescharacteristic
450#117—1222no—
451#117—1222no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—611no—
454C2×C4⋊C4—614no—
455C2×C4⋊C4—611no—
456C2×C4⋊C4—611no—
457C2×C4⋊C4—1222no—
458C2×C4⋊C4—1222no—
459C2×C4⋊C4—1222no—
460C2×C4⋊C4—1221no—
461C2×C4⋊C4—1221no—
462C2×C4⋊C4—1221no—
463C2×C4⋊C4—1221no—
464C2×C4⋊C4—1221no—
465C2×C4⋊C4—2444no—
466C2×C4⋊C4C22×D6111yescharacteristic
467C2×C4⋊C4C22×D6111yescharacteristic
468C2×C4⋊C4C22×D6111yescharacteristic
469C2×C22⋊C4—1221no—
470C2×C22⋊C4—1221no—
471C2×C22⋊C4—1221no—
472C2×C22⋊C4—1221no—
473C2×C22⋊C4—1221no—
474C2×C42—611no—
475C2×C42—611no—
476C2×C42—611no—
477C2×C42—1222no—
478C2×C42—1222no—
479C2×C42—1221no—
480C2×C42C22×D6111yescharacteristic
481#103—22no—
482#103—614no—
483#103—1222no—
484#103C4×D6114yescomplemented
485#102—614no—
486#102—614no—
487#102—1222no—
488#102—1222no—
489#97—22no—
490#97—1222no—
491C4×C8—1222no—
492C4×C8—1222no—
493#95—21no—
494#95—21no—
495#95—21no—
496#95—1221no—
497#95—1221no—
498#95—1221no—
499#95—1221no—
500#95—1221no—
501C24—611no—
502C24—1221no—
503#41—1228no—
504#41—1228no—
505#41—2444no—
506#41—2444no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8C2×C4×D6112yes—
513C2×D4—612no—
514C2×D4—1224no—
515C2×D4—1221no—
516C2×D4—1221no—
517C2×D4—1221no—
518C2×D4—1221no—
519C2×D4—1221no—
520C2×D4—2442no—
521C2×D4—2442no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—611no—
527C22×C4—612no—
528C22×C4—612no—
529C22×C4—612no—
530C22×C4—612no—
531C22×C4—612no—
532C22×C4—612no—
533C22×C4—611no—
534C22×C4—611no—
535C22×C4—1222no—
536C22×C4—1222no—
537C22×C4—1224no—
538C22×C4—1222no—
539C22×C4—1222no—
540C22×C4—1224no—
541C22×C4—1221no—
542C22×C4—1221no—
543C22×C4—1221no—
544C22×C4—2441no—
545C22×C4—2441no—
546C22×C4—2442no—
547C22×C4—2442no—
548C22×C4—2442no—
549C22×C4—2442no—
550C22×C4—2442no—
551C22×C4—2442no—
552C22×C4—2442no—
553C22×C4D4×D6111yescharacteristic
554C22×C4D4×D6111yescharacteristic
555C22×C4C23×D6111yescharacteristic
556M16—1228no—
557M16—1228no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—612no—
563C2×C8—612no—
564C2×C8—1221no—
565C2×C8—1221no—
566C2×C8—1221no—
567C2×C8—1221no—
568C2×C8C2×C4×D6112yes—
569C2×C8D4×D6112yes—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—42no—
576C4⋊C4—612no—
577C4⋊C4—1224no—
578C4⋊C4—1221no—
579C4⋊C4—1221no—
580C4⋊C4—1221no—
581C4⋊C4—1221no—
582C4⋊C4—1221no—
583C4⋊C4—2442no—
584C4⋊C4—2442no—
585C4⋊C4—2442no—
586C4⋊C4—2442no—
587C4⋊C4C2×C4×D6112yes—
588C22⋊C4—2442no—
589C22⋊C4—2442no—
590C22⋊C4—2442no—
591C22⋊C4—2442no—
592C22⋊C4—2442no—
593C42—21no—
594C42—21no—
595C42—1222no—
596C42—1222no—
597C42—1221no—
598C42—1221no—
599C42—2442no—
600C23—612no—
601C23—612no—
602C23—612no—
603C23—1221no—
604C23—1221no—
605C23—1221no—
606C23—1221no—
607C23—1222no—
608C23—2441no—
609C23—2441no—
610C23—2441no—
611C23—2441no—
612C23—2441no—
613C23—2441no—
614C23C2×D4×D6111yescharacteristic
615Q8—22no—
616Q8—22no—
617Q8—41no—
618Q8—41no—
619D4—1222no—
620D4—1222no—
621D4—2448no—
622D4—2441no—
623D4—2441no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—612no—
643C2×C4—612no—
644C2×C4—612no—
645C2×C4—614no—
646C2×C4—614no—
647C2×C4—614no—
648C2×C4—614no—
649C2×C4—612no—
650C2×C4—612no—
651C2×C4—1221no—
652C2×C4—1221no—
653C2×C4—1221no—
654C2×C4—1221no—
655C2×C4—1222no—
656C2×C4—4884no—
657C2×C4—2448no—
658C2×C4—2444no—
659C2×C4—2444no—
660C2×C4—2448no—
661C2×C4—2441no—
662C2×C4—2441no—
663C2×C4—2441no—
664C2×C4—2441no—
665C2×C4—2441no—
666C2×C4—2441no—
667C2×C4—2441no—
668C2×C4—2441no—
669C2×C4C22×C4×D6111yescharacteristic
670C2×C4C2×D4×D6111yescharacteristic
671C2×C4#41×D6111yescharacteristic
672C2×C4#41×D6111yescharacteristic
673C2×C4#41×D6111yescharacteristic
674C2×C4#41×D6111yescharacteristic
675C8—22no—
676C8—22no—
677C8—1222no—
678C8—1222no—
679C22—614no—
680C22—1222no—
681C22—1222no—
682C22—1222no—
683C22—1222no—
684C22—1222no—
685C22—1222no—
686C22—4881no—
687C22—4881no—
688C22—4881no—
689C22—4881no—
690C22—2442no—
691C22—2442no—
692C22—2442no—
693C22C4×D4×D6111yescharacteristic
694C22#121×D6111yescharacteristic
695C22#124×D6111yescharacteristic
696C22AGL(1,ℤ/8)×D6111yescharacteristic
697C22#137×D6111yescharacteristic
698C22#1684056111yescharacteristic
699C22#1684056111yescharacteristic
700C4—42no—
701C4—42no—
702C4—41no—
703C4—41no—
704C4—81no—
705C4—81no—
706C4—614no—
707C4—1222no—
708C4—1222no—
709C4—4881no—
710C4—4881no—
711C4—2442no—
712C4#117×D6111yescharacteristic
713C4C4×D4×D6111yescharacteristic
714C4#123×D6111yescharacteristic
715C4#126×D6111yescharacteristic
716C2—1224no—
717C2—4882no—
718C2#388×D6111yescharacteristic
719C2#2145462411yescharacteristic
720C2#2145463511yescharacteristic
721C2#2145543311yescharacteristic
722C2#2145544811yescharacteristic
723C2#2145621111yescharacteristic
724C2#2145622111yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1935C2
socleC23×C61C22×D4
prime radicalC22×#11758226C22
cosocleC22×C4×C61C24
hypercenter#1935D61
hypocenterC61#21093
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1935

Complements

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

NH ≅ G/Ntype
3. C2×#16839714C2semidirect
5. #389×D61C2semidirect
6. #21446516C2semidirect
7. #21446515C2semidirect
8. #21446512C2semidirect
9. #21446503C2semidirect
10. #21446500C2semidirect
11. #21446497C2semidirect
12. #21446492C2semidirect
13. #21445537C2semidirect
14. #21445537C2semidirect
15. C61×#1935C2semidirect
25. #16839762C4semidirect
111. #14519701C2×C4semidirect
113. #14519699C2×C4semidirect
115. #14519697C2×C4semidirect
133. #103×C61C2×C4semidirect
362. #1935D61semidirect
424. C61#21093semidirect
484. #103C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168397622
C2×#168397142
#214483082
#389×D612
#214465162
#214465152
#214465122
#214465032
#214465002
#214464972
#214464922
#214455372
C61×#19352
#2109361