Finite Group Databasebeta

← #29685278

Subgroups — #29685278

Order 15616.

1134 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840383C211yesmaximal, characteristic
2C2×#16839718C211yesmaximal, characteristic, complemented
3#21446791C211yesmaximal, characteristic, complemented
4#21446779C211yesmaximal, characteristic, complemented
5#21446633C211yesmaximal, characteristic, complemented
6#21446628C211yesmaximal, characteristic, complemented
7#21446255C211yesmaximal, characteristic
8#21446250C211yesmaximal, characteristic, complemented
9#21446245C211yesmaximal, characteristic
10#21446240C211yesmaximal, characteristic, complemented
11#21445652C211yesmaximal, characteristic, complemented
12#21445647C211yesmaximal, characteristic, complemented
13C4×#14519700C211yesmaximal, characteristic, complemented
14C4×#14519697C211yesmaximal, characteristic, complemented
15C61×#2314C211yesmaximal, characteristic, complemented
16C22×#11758194C2211yescharacteristic
17C23×#92418C2211yescharacteristic
18#16840383—24no—
19#16840383C418yescomplemented
20C2×#14519777C2211yescharacteristic
21C2×#14519772—21no—
22C2×#14519765C2211yescharacteristic
23C2×#14519763—21no—
24C2×#14519759—21no—
25C2×#14519756C2211yescharacteristic
26C2×#14519755—21no—
27C2×#14519751C2211yescharacteristic
28C2×C4×Dic122C2211yescharacteristic
29C2×C4×D244C2211yescharacteristic
30C2×#14519700C2211yescharacteristic
31C2×#14519700C2211yescharacteristic
32C2×#14519700C2211yescharacteristic
33C2×#14519700C2211yescharacteristic
34C2×#14519697C2211yescharacteristic
35C2×#14519697C2211yescharacteristic
36C2×#14519697C2211yescharacteristic
37C2×#14519697C2211yescharacteristic
38#16839718—24no—
39C2×#14519688C2211yescharacteristic
40C2×#14519688C2211yescharacteristic
41C2×C4×#92418C2211yescharacteristic
42C2×C4×#92418C2211yescharacteristic
43#16839524C2211yescharacteristic
44#16839524C2211yescharacteristic
45#16839524C2211yescharacteristic
46#16839524C2211yescharacteristic
47#16839524C2211yescharacteristic
48#16839524C2211yescharacteristic
49#16839524C2211yescharacteristic
50#16839524C2211yescharacteristic
51C2×#117×C61C2211yescharacteristic
52C61×#388—21no—
53C61×#388—21no—
54C61×#387—21no—
55C61×#387—21no—
56C61×#384C2211yescharacteristic
57C61×#382C2211yescharacteristic
58C61×#380C2211yescharacteristic
59C61×#380C2211yescharacteristic
60C4×C4⋊C4×C61C2211yescharacteristic
61C4×C4⋊C4×C61C2211yescharacteristic
62C22×Dic122—21no—
63C22×Dic122C2311yescharacteristic
64C22×D244C2311yescharacteristic
65C22×C22⋊D61—21no—
66C22×C4×D61—21no—
67C2×#11758194—22no—
68C2×#11758194—22no—
69C2×#11758194—22no—
70C22×#92418—22no—
71C22×#92418—22no—
72C22×#92418—22no—
73C22×#92418C2311yescharacteristic
74C22×#92418C2311yescharacteristic
75C22×#92418C2311yescharacteristic
76C22×#92418C2311yescharacteristic
77#14519777—22no—
78#14519777C2×C414yes—
79#14519772—28no—
80#14519765—22no—
81#14519765C2×C414yes—
82#14519763—28no—
83#14519759—28no—
84#14519756—22no—
85#14519756C2×C414yes—
86#14519755—28no—
87#14519751—22no—
88#14519751C2×C414yes—
89C4×Dic122—22no—
90C4×Dic122C2×C414yes—
91C4×D244—22no—
92C4×D244C2×C414yes—
93C2×C4⋊Dic61—21no—
94C2×C4⋊Dic61C2311yescharacteristic
95C2×C4⋊Dic61C2311yescharacteristic
96C2×#11758196—21no—
97C2×#11758196—21no—
98C2×C22⋊Dic61—21no—
99C2×#11758198—21no—
100C2×#11758198—21no—
101C2×#11758198—21no—
102C2×#11758198—21no—
103C2×C4×Dic61—21no—
104#14519700—22no—
105#14519700—22no—
106#14519700—22no—
107#14519700—22no—
108#14519697—22no—
109#14519697—22no—
110#14519697—22no—
111#14519697—22no—
112#14519688—22no—
113#14519688—22no—
114C4×#92418—22no—
115C4×#92418—22no—
116C23×C4×C61C2311yescharacteristic
117#117×C61C2×C414yes—
118#117×C61D414yes—
119C2×C4⋊C4×C61—21no—
120C2×C4⋊C4×C61—21no—
121C2×C4⋊C4×C61D411yescharacteristic
122C2×C4⋊C4×C61D411yescharacteristic
123C2×C4⋊C4×C61C2311yescharacteristic
124C2×C4⋊C4×C61C2311yescharacteristic
125C2×C4⋊C4×C61C2311yescharacteristic
126C2×C4⋊C4×C61C2311yescharacteristic
127C2×C22⋊C4×C61—21no—
128C2×C22⋊C4×C61—21no—
129C2×C22⋊C4×C61D411yescharacteristic
130C2×C22⋊C4×C61D411yescharacteristic
131C2×C42×C61—21no—
132C2×C42×C61—21no—
133C2×C42×C61C2311yescharacteristic
134C2×C42×C61C2311yescharacteristic
135#95×C61—21no—
136#95×C61—21no—
137#95×C61—21no—
138#95×C61—21no—
139#95×C61—21no—
140#95×C61—21no—
141C24×C61C2×D411yescharacteristic
142C23×D61—21no—
143C22×C4×C61—21no—
144C22×C4×C61—21no—
145C22×C4×C61—21no—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61—21no—
149C22×C4×C61—21no—
150C22×C4×C61—21no—
151C22×C4×C61C22×C412yes—
152C22×C4×C61C2×D411yescharacteristic
153C22×C4×C61C2×D411yescharacteristic
154C22×C4×C61C2×D411yescharacteristic
155C22×C4×C61C2×D411yescharacteristic
156C22×C4×C61C2×D411yescharacteristic
157C22×C4×C61C2×D412yes—
158C22×C4×C61C2411yescharacteristic
159C2×C22⋊D61—24no—
160C2×C22⋊D61—81no—
161C2×C22⋊D61—81no—
162C22×Dic61—21no—
163C22×Dic61—21no—
164C22×Dic61—21no—
165C2×D244—21no—
166C2×D244—21no—
167C2×D244—21no—
168C2×D244—21no—
169C2×D244—21no—
170C2×D244C22×C412yes—
171C2×C4×D61—24no—
172C2×C4×D61—81no—
173C2×C4×D61—81no—
174C2×Dic122—21no—
175C2×Dic122—21no—
176C2×Dic122—21no—
177C2×Dic122—21no—
178C2×Dic122—21no—
179C2×Dic122—24no—
180C2×Dic122—81no—
181C2×Dic122—81no—
182C2×Dic122C22×C412yes—
183C4⋊C4×C61—21no—
184C4⋊C4×C61—21no—
185C4⋊C4×C61—21no—
186C4⋊C4×C61—21no—
187C4⋊C4×C61—21no—
188C4⋊C4×C61—21no—
189C4⋊C4×C61—21no—
190C4⋊C4×C61—21no—
191C4⋊C4×C61—81no—
192C4⋊C4×C61—81no—
193C4⋊C4×C61C22⋊C414yes—
194C4⋊C4×C61C22⋊C414yes—
195C22⋊C4×C61—81no—
196C22⋊C4×C61—81no—
197C22⋊C4×C61C22⋊C414yes—
198C22⋊C4×C61C22⋊C414yes—
199C42×C61—81no—
200C42×C61—81no—
201C42×C61C22×C412yes—
202C42×C61C22×C412yes—
203C42×C61C2×D412yes—
204C42×C61C2×D412yes—
205C22⋊Dic61—24no—
206#11758198—24no—
207#11758198—24no—
208#11758198—24no—
209#11758198—24no—
210C4⋊Dic61—24no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61C22×C412yes—
214C4⋊Dic61C22×C412yes—
215#11758196—24no—
216#11758196—24no—
217C4×Dic61—24no—
218#11758194—28no—
219C2×#92418—28no—
220C2×#92418—21no—
221C2×#92418—21no—
222C2×#92418—21no—
223C2×#92418—21no—
224C2×#92418—21no—
225C2×#92418—21no—
226C2×#92418—21no—
227C2×#92418—21no—
228C2×#92418#4112yes—
229C2×#92418#4112yes—
230C2×#92418#4112yes—
231C2×#92418#4112yes—
232C23×C61—21no—
233C23×C61—21no—
234C23×C61—21no—
235C23×C61—21no—
236C23×C61—21no—
237C23×C61—21no—
238C23×C61C2×C22⋊C412yes—
239C23×C61C22×D411yescharacteristic
240C22×D61—22no—
241C22×D61—41no—
242C22×D61—41no—
243C22×D61—41no—
244C22×D61—41no—
245C22×D61—41no—
246C22×D61—41no—
247C2×C4×C61—21no—
248C2×C4×C61—21no—
249C2×C4×C61—21no—
250C2×C4×C61—21no—
251C2×C4×C61—21no—
252C2×C4×C61—21no—
253C2×C4×C61—21no—
254C2×C4×C61—21no—
255C2×C4×C61—21no—
256C2×C4×C61—21no—
257C2×C4×C61—22no—
258C2×C4×C61—22no—
259C2×C4×C61—22no—
260C2×C4×C61—22no—
261C2×C4×C61—41no—
262C2×C4×C61—41no—
263C2×C4×C61—41no—
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×C61C2×C22⋊C412yes—
274C2×C4×C61C2×C22⋊C412yes—
275C2×C4×C61C2×C22⋊C412yes—
276C2×C4×C61C2×C22⋊C412yes—
277C2×C4×C61C2×C22⋊C412yes—
278C2×C4×C61C23×C411yescharacteristic
279C2×C4×C61C22×D411yescharacteristic
280C2×C4×C61C2×#4111yescharacteristic
281C2×C4×C61C2×#4111yescharacteristic
282C2×C4×C61C2×#4111yescharacteristic
283C2×C4×C61C2×#4111yescharacteristic
284C22⋊D61—84no—
285C2×Dic61—22no—
286C2×Dic61—22no—
287C2×Dic61—22no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294D244—22no—
295D244—22no—
296D244—41no—
297D244—41no—
298C4×D61—84no—
299Dic122—22no—
300Dic122—22no—
301Dic122—41no—
302Dic122—41no—
303Dic122—84no—
304#92418—22no—
305#92418—22no—
306#92418—22no—
307#92418—22no—
308#21412—611nomaximal, Sylow
309C22×C61—22no—
310C22×C61—22no—
311C22×C61—22no—
312C22×C61—41no—
313C22×C61—41no—
314C22×C61—41no—
315C22×C61—41no—
316C22×C61C22×C22⋊C411yescharacteristic
317C22×C61#53211yescharacteristic
318C22×C61#53211yescharacteristic
319C22×C61#57611yescharacteristic
320C22×C61#57711yescharacteristic
321C22×C61#57711yescharacteristic
322C22×C61#57811yescharacteristic
323C2×D61—42no—
324C2×D61—42no—
325C2×D61—42no—
326C2×D61—81no—
327C2×D61—81no—
328C2×D61—81no—
329C2×D61—81no—
330C4×C61—22no—
331C4×C61—22no—
332C4×C61—22no—
333C4×C61—22no—
334C4×C61—22no—
335C4×C61—81no—
336C4×C61—81no—
337C4×C61—81no—
338C4×C61—81no—
339C4×C61C4×#4111yescharacteristic
340C4×C61C4×#4111yescharacteristic
341C4×C61#52511yescharacteristic
342C4×C61#52511yescharacteristic
343Dic61—42no—
344Dic61—42no—
345Dic61—42no—
346C2×#542—611no—
347C2×#405—611no—
348#2314D6111yescharacteristic, complemented
349#1993—611no—
350#1990—611no—
351#1959—611no—
352#1958—611no—
353#1895—611no—
354#1894—611no—
355#1893—611no—
356#1892—611no—
357#1763—611no—
358#1762—611no—
359C4×#103—611no—
360C4×#102—611no—
361C2×C61—42no—
362C2×C61#229711yescharacteristic
363C2×C61#289711yescharacteristic
364C2×C61#289811yescharacteristic
365C2×C61#317311yescharacteristic
366C2×C61#317511yescharacteristic
367C2×C61#317811yescharacteristic
368C2×C61#317911yescharacteristic
369D61—82no—
370C22×M16—611no—
371C23×C8—611no—
372#542—618no—
373#542—1224no—
374C2×C4⋊Q8—611no—
375C2×#126—1221no—
376C2×#124—611no—
377C2×#124—1221no—
378C2×#123—1221no—
379C2×C22⋊Q8—611no—
380C2×C22⋊Q8—1221no—
381C2×#121—611no—
382C2×C4×Q8—611no—
383C2×C4×D4—611no—
384C2×#117C2×D6111yescharacteristic
385C2×#103—611no—
386C2×#103—611no—
387C2×#103—611no—
388C2×#103—611no—
389C2×#102—611no—
390C2×#102—611no—
391C2×#102—611no—
392C2×#102—611no—
393#405—1224no—
394C2×#97—611no—
395C2×#97—611no—
396C2×C4×C8—611no—
397C2×C4×C8—611no—
398#388—21no—
399#388—21no—
400#387—21no—
401#387—21no—
402#384C2×D6111yescharacteristic
403#382C2×D6111yescharacteristic
404#380C2×D6111yescharacteristic
405#380C2×D6111yescharacteristic
406C4×C4⋊C4C2×D6111yescharacteristic
407C4×C4⋊C4C2×D6111yescharacteristic
408#340—611no—
409#340—611no—
410#340—611no—
411#340—611no—
412#340—611no—
413#340—611no—
414#340—611no—
415#340—611no—
416C61#2141211yescharacteristic, complemented, Sylow
417C22×Q8—611no—
418C22×Q8—1221no—
419C22×D4—611no—
420C22×D4—1221no—
421C23×C4—1221no—
422C23×C4C22×D6111yescharacteristic
423C2×M16—1222no—
424C2×M16—1222no—
425C2×M16—1222no—
426C22×C8—611no—
427C22×C8—611no—
428C22×C8—611no—
429C22×C8—611no—
430C22×C8—1222no—
431C22×C8—1222no—
432C22×C8—1222no—
433C4⋊Q8—614no—
434C4⋊Q8—1222no—
435#126—1228no—
436#124—614no—
437#124—1228no—
438#124—1222no—
439#123—1228no—
440C22⋊Q8—614no—
441C22⋊Q8—1222no—
442C22⋊Q8—1228no—
443#121—614no—
444#121—1222no—
445C4×Q8—614no—
446C4×Q8—1222no—
447C4×D4—614no—
448C4×D4—1222no—
449#117C4×D6114yes—
450#117D24414yes—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—611no—
454C2×C4⋊C4—611no—
455C2×C4⋊C4—1221no—
456C2×C4⋊C4—1221no—
457C2×C4⋊C4—1221no—
458C2×C4⋊C4C22⋊D6111yescharacteristic
459C2×C4⋊C4C22⋊D6111yescharacteristic
460C2×C4⋊C4C22×D6111yescharacteristic
461C2×C4⋊C4C22×D6111yescharacteristic
462C2×C4⋊C4C22×D6111yescharacteristic
463C2×C4⋊C4C22×D6111yescharacteristic
464C2×C22⋊C4—21no—
465C2×C22⋊C4—21no—
466C2×C22⋊C4—1221no—
467C2×C22⋊C4—1221no—
468C2×C22⋊C4—1221no—
469C2×C22⋊C4—1221no—
470C2×C22⋊C4—1221no—
471C2×C22⋊C4C22⋊D6111yescharacteristic
472C2×C22⋊C4C22⋊D6111yescharacteristic
473C2×C42—21no—
474C2×C42—21no—
475C2×C42—1221no—
476C2×C42C22×D6111yescharacteristic
477C2×C42C22×D6111yescharacteristic
478#103—1222no—
479#103—1222no—
480#103—1222no—
481#103—1222no—
482#102—1222no—
483#102—1222no—
484#102—1222no—
485#102—1222no—
486#97—1222no—
487#97—1222no—
488C4×C8—1222no—
489C4×C8—1222no—
490#95—21no—
491#95—21no—
492#95—21no—
493#95—21no—
494#95—21no—
495#95—21no—
496C24—1221no—
497C24C2×C22⋊D6111yescharacteristic
498C2×Q8—612no—
499C2×Q8—1221no—
500C2×Q8—1224no—
501C2×Q8—1221no—
502C2×Q8—1221no—
503C2×Q8—1221no—
504C2×Q8—1221no—
505C2×Q8—4881no—
506C2×Q8—4881no—
507C2×D4—612no—
508C2×D4—1224no—
509C2×D4—1221no—
510C2×D4—1221no—
511C2×D4—1221no—
512C2×D4—1221no—
513C2×D4—1221no—
514C2×D4—4881no—
515C2×D4—4881no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—1221no—
525C22×C4—1221no—
526C22×C4—1221no—
527C22×C4—1224no—
528C22×C4—4881no—
529C22×C4—4881no—
530C22×C4C2×C4×D6112yes—
531C22×C4C2×D24412yes—
532C22×C4C2×C22⋊D6111yescharacteristic
533C22×C4C2×C22⋊D6111yescharacteristic
534C22×C4C2×C22⋊D6111yescharacteristic
535C22×C4C2×C22⋊D6111yescharacteristic
536C22×C4C2×C22⋊D6111yescharacteristic
537C22×C4C23×D6111yescharacteristic
538M16—1228no—
539C2×C8—612no—
540C2×C8—612no—
541C2×C8—612no—
542C2×C8—612no—
543C2×C8—1228no—
544C2×C8—1221no—
545C2×C8—1221no—
546C2×C8—1221no—
547C2×C8—1221no—
548C2×C8—1221no—
549C2×C8—1221no—
550C2×C8—1221no—
551C2×C8—1221no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—81no—
561C4⋊C4—81no—
562C4⋊C4—612no—
563C4⋊C4—612no—
564C4⋊C4—1221no—
565C4⋊C4—1221no—
566C4⋊C4—1224no—
567C4⋊C4—1224no—
568C4⋊C4—1224no—
569C4⋊C4#1175819814yes—
570C4⋊C4#1175819814yes—
571C22⋊C4—81no—
572C22⋊C4—81no—
573C22⋊C4—1224no—
574C22⋊C4—1224no—
575C22⋊C4—1224no—
576C22⋊C4—1224no—
577C22⋊C4—1224no—
578C22⋊C4#1175819814yes—
579C22⋊C4#1175819814yes—
580C42—81no—
581C42—81no—
582C42—1224no—
583C42C2×C4×D6112yes—
584C42C2×C4×D6112yes—
585C42C2×D24412yes—
586C42C2×D24412yes—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—1222no—
594C23—2441no—
595C23—2441no—
596C23—2441no—
597C23—2441no—
598C23—2441no—
599C23—2441no—
600C23C2×#1175819812yes—
601C23C22×C22⋊D6111yescharacteristic
602Q8—1222no—
603Q8—1222no—
604Q8—4884no—
605Q8—2441no—
606Q8—2441no—
607D4—1222no—
608D4—1222no—
609D4—4884no—
610D4—2441no—
611D4—2441no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—1222no—
639C2×C4—1222no—
640C2×C4—1222no—
641C2×C4—4884no—
642C2×C4—2441no—
643C2×C4—2441no—
644C2×C4—2441no—
645C2×C4—2441no—
646C2×C4—2441no—
647C2×C4—2441no—
648C2×C4C2×#1175819812yes—
649C2×C4C2×#1175819812yes—
650C2×C4C2×#1175819812yes—
651C2×C4C2×#1175819812yes—
652C2×C4C2×#1175819812yes—
653C2×C4C22×C4×D6111yescharacteristic
654C2×C4C22×D24411yescharacteristic
655C2×C4#41×D6111yescharacteristic
656C2×C4#41×D6111yescharacteristic
657C2×C4#41×D6111yescharacteristic
658C2×C4#41×D6111yescharacteristic
659C8—1222no—
660C8—1222no—
661C8—1222no—
662C8—1222no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—4881no—
671C22—4881no—
672C22—4881no—
673C22—4881no—
674C22—2442no—
675C22—2442no—
676C22—2442no—
677C22C22×#1175819811yescharacteristic
678C22#1684030811yescharacteristic
679C22#1684030811yescharacteristic
680C22#1684056511yescharacteristic
681C22#1684057011yescharacteristic
682C22#1684057311yescharacteristic
683C22#1684057711yescharacteristic
684C4—22no—
685C4—22no—
686C4—22no—
687C4—22no—
688C4—22no—
689C4—81no—
690C4—81no—
691C4—81no—
692C4—81no—
693C4—2442no—
694C4—2442no—
695C4—2442no—
696C4#1684023011yescharacteristic
697C4#1684023011yescharacteristic
698C4#1684027411yescharacteristic
699C4#1684027411yescharacteristic
700C2—42no—
701C2—4882no—
702C2#2144830711yescharacteristic
703C2#2145434211yescharacteristic
704C2#2145434911yescharacteristic
705C2#2145643011yescharacteristic
706C2#2145645211yescharacteristic
707C2#2145648911yescharacteristic
708C2#2145650411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#2314C2
socleC23×C61C22×D4
prime radicalC2×#14519751C22
cosocleC22×C4×C61C24
hypercenter#2314D61
hypocenterC61#21412
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2314

Complements

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

NH ≅ G/Ntype
2. C2×#16839718C2semidirect
3. #21446791C2semidirect
4. #21446779C2semidirect
5. #21446633C2semidirect
6. #21446628C2semidirect
8. #21446250C2semidirect
10. #21446240C2semidirect
11. #21445652C2semidirect
12. #21445647C2semidirect
13. C4×#14519700C2semidirect
14. C4×#14519697C2semidirect
15. C61×#2314C2semidirect
19. #16840383C4semidirect
348. #2314D61semidirect
416. C61#21412semidirect

Maximal subgroups

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

subgroupindex
C2×#168403832
C2×#168397182
#214467912
#214467792
#214466332
#214466282
#214462552
#214462502
#214462452
#214462402
#214456522
#214456472
C4×#145197002
C4×#145196972
C61×#23142
#2141261