Finite Group Databasebeta

← #29698553

Subgroups — #29698553

Order 15616.

944 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839836C211yesmaximal, characteristic
2C2×#16839825C211yesmaximal, characteristic
3#21448256C211yesmaximal, characteristic
4#21446539C211yesmaximal, characteristic, complemented
5#21446534C211yesmaximal, characteristic, complemented
6#21446001C211yesmaximal, characteristic, complemented
7#21445996C211yesmaximal, characteristic, complemented
8#21445995C211yesmaximal, characteristic, complemented
9#21445995C211yesmaximal, characteristic, complemented
10#21445937C211yesmaximal, characteristic, complemented
11#21445798C211yesmaximal, characteristic, complemented
12#21445675C211yesmaximal, characteristic, complemented
13#21445516C211yesmaximal, characteristic, complemented
14#336×D61C211yesmaximal, characteristic, complemented
15C61×#1798C211yesmaximal, characteristic, complemented
16C22×#11758194C2211yescharacteristic
17C23×#92418C2211yescharacteristic
18C22×C8×D61C2211yescharacteristic
19C22×C8×D61C2211yescharacteristic
20C2×C4×C22⋊D61C2211yescharacteristic
21C2×C42×D61C2211yescharacteristic
22#16839836—24no—
23#16839825—24no—
24C2×#14519706C2211yescharacteristic
25C2×#14519706C2211yescharacteristic
26C2×#14519706C2211yescharacteristic
27C2×#14519706C2211yescharacteristic
28C2×#14519706C2211yescharacteristic
29C2×#14519706C2211yescharacteristic
30C2×#14519689C2211yescharacteristic
31C2×#14519689C2211yescharacteristic
32C2×#14519687C2211yescharacteristic
33C2×C8×Dic61C2211yescharacteristic
34#16839650C411yescharacteristic
35#16839650C411yescharacteristic
36#16839643C411yescharacteristic
37#16839643C411yescharacteristic
38#16839638C411yescharacteristic
39#16839638C411yescharacteristic
40#16839633C411yescharacteristic
41#16839633C411yescharacteristic
42C4×#11758196C2211yescharacteristic
43C4×#11758198C2211yescharacteristic
44C4×C22⋊Dic61C2211yescharacteristic
45#16839608C2211yescharacteristic
46#16839517C2211yescharacteristic
47#16839517C2211yescharacteristic
48#16839517C2211yescharacteristic
49#16839517C2211yescharacteristic
50#16839516C2211yescharacteristic
51#16839516C2211yescharacteristic
52#16839516C2211yescharacteristic
53#16839516C2211yescharacteristic
54C2×#117×C61C2211yescharacteristic
55C2×C4⋊C8×C61C2211yescharacteristic
56C2×C4⋊C8×C61C2211yescharacteristic
57C2×C22⋊C8×C61C2211yescharacteristic
58C2×C22⋊C8×C61C2211yescharacteristic
59C61×#336C2211yescharacteristic
60C61×#336C2211yescharacteristic
61C22×C22⋊D61C2×C411yescharacteristic
62C22×C4×D61C2×C411yescharacteristic
63C22×C4×D61C2×C411yescharacteristic
64C22×C4×D61C2311yescharacteristic
65C2×#11758194—22no—
66C2×#11758194—22no—
67C2×#11758194—41no—
68C22×#92418—22no—
69C22×#92418—22no—
70C22×#92418—41no—
71C22×#92418C2311yescharacteristic
72C22×#92418C2311yescharacteristic
73C22×#92418C2311yescharacteristic
74C22×#92418C2311yescharacteristic
75C2×C8×D61—22no—
76C2×C8×D61—22no—
77C2×C8×D61—22no—
78C2×C8×D61—22no—
79C2×C8×D61—41no—
80C2×C8×D61—41no—
81C4×C22⋊D61D414yes—
82C4×C22⋊D61Q814yes—
83C2×#11758196C2×C411yescharacteristic
84C2×#11758196C2×C411yescharacteristic
85C2×#11758196C2×C411yescharacteristic
86C2×C22⋊Dic61C2×C411yescharacteristic
87C2×C22⋊Dic61C2×C411yescharacteristic
88C2×C22⋊Dic61C2×C411yescharacteristic
89C2×#11758198C2×C411yescharacteristic
90C2×#11758198C2×C411yescharacteristic
91C2×#11758198C2×C411yescharacteristic
92C2×C4×Dic61C2×C411yescharacteristic
93C2×C4×Dic61C2×C411yescharacteristic
94C2×C4×Dic61C2311yescharacteristic
95C2×C4×Dic61C2311yescharacteristic
96C2×C4×Dic61C2311yescharacteristic
97C42×D61—41no—
98C42×D61—41no—
99#14519706—22no—
100#14519706—22no—
101#14519706—22no—
102#14519706—22no—
103#14519706—41no—
104#14519706—41no—
105#14519689—22no—
106#14519689—22no—
107#14519687—22no—
108C8×Dic61—22no—
109#14519684C2×C411yescharacteristic
110#14519684C2×C411yescharacteristic
111#14519684C2×C411yescharacteristic
112#14519684C2×C411yescharacteristic
113#14519684C2×C411yescharacteristic
114#14519684C2×C411yescharacteristic
115#14519684C2×C411yescharacteristic
116#14519684C2×C411yescharacteristic
117#14519684C2×C411yescharacteristic
118#14519684C2×C411yescharacteristic
119C23×C4×C61C2311yescharacteristic
120C22×C8×C61C2311yescharacteristic
121C22×C8×C61C2311yescharacteristic
122C22×C8×C61C2311yescharacteristic
123C22×C8×C61C2311yescharacteristic
124#117×C61—41no—
125#117×C61—41no—
126C2×C4⋊C4×C61C2×C411yescharacteristic
127C2×C4⋊C4×C61C2×C411yescharacteristic
128C2×C22⋊C4×C61C2×C411yescharacteristic
129C2×C22⋊C4×C61C2×C411yescharacteristic
130C2×C42×C61C2311yescharacteristic
131C2×C42×C61C2311yescharacteristic
132C4⋊C8×C61—41no—
133C4⋊C8×C61—41no—
134C22⋊C8×C61—22no—
135C22⋊C8×C61—22no—
136C24×C61C22×C411yescharacteristic
137C23×D61C22×C411yescharacteristic
138C22×C4×C61—21no—
139C22×C4×C61—21no—
140C22×C4×C61—21no—
141C22×C4×C61—21no—
142C22×C4×C61C22×C411yescharacteristic
143C22×C4×C61C22×C411yescharacteristic
144C22×C4×C61C22×C411yescharacteristic
145C22×C4×C61C22×C411yescharacteristic
146C22×C4×C61C22×C411yescharacteristic
147C22×C4×C61C2×D412yes—
148C22×C4×C61C2×Q812yes—
149C22×C4×C61C2411yescharacteristic
150C2×C22⋊D61—22no—
151C2×C22⋊D61—22no—
152C2×C22⋊D61C4⋊C414yes—
153C22×Dic61C22×C411yescharacteristic
154C22×Dic61C22×C411yescharacteristic
155C22×Dic61C22×C411yescharacteristic
156C22×Dic61C22×C411yescharacteristic
157C22×Dic61C22×C411yescharacteristic
158C22×Dic61C22×C411yescharacteristic
159C22×Dic61C22×C411yescharacteristic
160C2×C4×D61—21no—
161C2×C4×D61—21no—
162C2×C4×D61—21no—
163C2×C4×D61—21no—
164C2×C4×D61—22no—
165C2×C4×D61—22no—
166C2×C4×D61—22no—
167C2×C4×D61—41no—
168C2×C4×D61—41no—
169C2×C4×D61—41no—
170C2×C4×D61C2×D412yes—
171C2×C4×D61C2×Q812yes—
172C2×C8×C61—21no—
173C2×C8×C61—21no—
174C2×C8×C61—21no—
175C2×C8×C61—21no—
176C2×C8×C61—21no—
177C2×C8×C61—21no—
178C2×C8×C61—21no—
179C2×C8×C61—21no—
180C2×C8×C61—21no—
181C2×C8×C61—21no—
182C2×C8×C61—21no—
183C2×C8×C61—21no—
184C4⋊C4×C61—41no—
185C4⋊C4×C61—41no—
186C22⋊C4×C61—41no—
187C22⋊C4×C61—41no—
188C42×C61—21no—
189C42×C61—21no—
190C42×C61—21no—
191C42×C61—21no—
192C22⋊Dic61—22no—
193C22⋊Dic61—41no—
194C22⋊Dic61C4⋊C414yes—
195#11758198—22no—
196#11758198—22no—
197#11758198C4⋊C414yes—
198#11758196—22no—
199#11758196—41no—
200#11758196C4⋊C414yes—
201C4×Dic61—21no—
202C4×Dic61—21no—
203C4×Dic61—21no—
204C4×Dic61—21no—
205C4×Dic61—41no—
206C4×Dic61—41no—
207C4×Dic61C2×D412yes—
208C4×Dic61C2×Q812yes—
209#11758194—44no—
210C2×#92418—21no—
211C2×#92418—21no—
212C2×#92418—21no—
213C2×#92418—21no—
214C2×#92418—21no—
215C2×#92418—21no—
216C2×#92418—21no—
217C2×#92418—21no—
218C2×#92418—21no—
219C2×#92418—21no—
220C2×#92418—44no—
221C2×#92418#4112yes—
222C2×#92418#4112yes—
223C8×D61—44no—
224C8×D61—44no—
225C23×C61—21no—
226C23×C61—21no—
227C23×C61—21no—
228C23×C61—21no—
229C23×C61—21no—
230C23×C61—21no—
231C23×C61C2×C4⋊C412yes—
232C23×C61C23×C411yescharacteristic
233C22×D61—21no—
234C22×D61—21no—
235C22×D61—21no—
236C22×D61—21no—
237C22×D61C2×C4⋊C412yes—
238C22×D61#13112yes—
239C22×D61#13112yes—
240C2×C4×C61—21no—
241C2×C4×C61—21no—
242C2×C4×C61—22no—
243C2×C4×C61—22no—
244C2×C4×C61—22no—
245C2×C4×C61—22no—
246C2×C4×C61—21no—
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—21no—
258C2×C4×C61C2×C4⋊C412yes—
259C2×C4×C61C22×D411yescharacteristic
260C2×C4×C61C22×Q811yescharacteristic
261C2×C4×C61C2×#4111yescharacteristic
262C2×C4×C61C2×#4111yescharacteristic
263C2×C4×C61H(5,𝔽2)11yescharacteristic
264C2×C4×C61H(5,𝔽2)11yescharacteristic
265C22⋊D61—28no—
266C2×Dic61—21no—
267C2×Dic61—21no—
268C2×Dic61—21no—
269C2×Dic61—21no—
270C2×Dic61—21no—
271C2×Dic61—21no—
272C2×Dic61—21no—
273C2×Dic61—21no—
274C2×Dic61—21no—
275C2×Dic61—21no—
276C2×Dic61—21no—
277C2×Dic61—21no—
278C2×Dic61—21no—
279C2×Dic61—21no—
280C2×Dic61—21no—
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61C2×C4⋊C412yes—
284C2×Dic61C2×C4⋊C412yes—
285C2×Dic61C2×C4⋊C412yes—
286C2×Dic61#13112yes—
287C4×D61—22no—
288C4×D61—22no—
289C4×D61—22no—
290C4×D61—22no—
291C4×D61—44no—
292C4×D61—44no—
293C8×C61—41no—
294C8×C61—41no—
295C8×C61—41no—
296C8×C61—41no—
297#92418—22no—
298#92418—22no—
299#92418—41no—
300#92418—41no—
301#22697—611nomaximal, Sylow
302C22×C61—22no—
303C22×C61—22no—
304C22×C61—22no—
305C22×C61—41no—
306C22×C61—41no—
307C22×C61—41no—
308C22×C61—41no—
309C22×C61C22×C4⋊C411yescharacteristic
310C22×C61C4×#4111yescharacteristic
311C22×C61#51811yescharacteristic
312C22×C61C2×#13111yescharacteristic
313C22×C61C2×#13111yescharacteristic
314C22×C61C2×#13111yescharacteristic
315C22×C61#56811yescharacteristic
316C2×D61—22no—
317C2×D61—22no—
318C2×D61—22no—
319C2×D61—22no—
320C2×D61—22no—
321C2×D61—22no—
322C2×D61#42414yes—
323C4×C61—22no—
324C4×C61—41no—
325C4×C61—41no—
326C4×C61—41no—
327C4×C61—41no—
328C4×C61#54611yescharacteristic
329C4×C61#54611yescharacteristic
330C4×C61#55411yescharacteristic
331C4×C61#55411yescharacteristic
332Dic61—22no—
333Dic61—22no—
334Dic61—22no—
335Dic61—22no—
336Dic61—41no—
337Dic61—41no—
338Dic61—41no—
339C2×#435—611no—
340C2×C8×D4—611no—
341#2290—611no—
342#1940—611no—
343#1939—611no—
344#1851—611no—
345#1850—611no—
346#1850—611no—
347#1850—611no—
348#1832—611no—
349#1798D6111yescharacteristic, complemented
350#1797—611no—
351#1768—611no—
352#1729—611no—
353C2×#336—611no—
354C2×C61—42no—
355C2×C61#234911yescharacteristic
356C2×C61C2×#42411yescharacteristic
357C2×C61#290611yescharacteristic
358C2×C61#296611yescharacteristic
359C2×C61#296811yescharacteristic
360C2×C61#297611yescharacteristic
361C2×C61#297711yescharacteristic
362D61—24no—
363C22×M16—611no—
364C23×C8—611no—
365C23×C8—611no—
366C23×C8—611no—
367C2×C4×D4—611no—
368C2×#117C2×D6111yescharacteristic
369C22×C42—611no—
370#435—1224no—
371C8×D4—1224no—
372C2×C4⋊C8—611no—
373C2×C4⋊C8—611no—
374C2×C4⋊C8—611no—
375C2×C4⋊C8—611no—
376C2×C4⋊C8—611no—
377C2×C4⋊C8—611no—
378C2×C4⋊C8C2×D6111yescharacteristic
379C2×C4⋊C8C2×D6111yescharacteristic
380C2×C22⋊C8—611no—
381C2×C22⋊C8—611no—
382C2×C22⋊C8C2×D6111yescharacteristic
383C2×C22⋊C8C2×D6111yescharacteristic
384C2×#97—611no—
385C2×C4×C8—611no—
386#388—611no—
387#388—611no—
388#387—611no—
389#387—611no—
390#386—611no—
391#386—611no—
392#385—611no—
393#385—611no—
394C4×C4⋊C4—611no—
395C4×C22⋊C4—611no—
396C4×C22⋊C4—611no—
397#376—611no—
398#336—611no—
399#336—611no—
400#336—611no—
401#336—611no—
402#336—611no—
403#336—611no—
404#336—611no—
405#336—611no—
406#336C2×D6111yescharacteristic
407#336C2×D6111yescharacteristic
408C61#2269711yescharacteristic, complemented, Sylow
409C22×D4—611no—
410C23×C4—611no—
411C23×C4—611no—
412C23×C4—611no—
413C23×C4C22×D6111yescharacteristic
414C2×M16—1222no—
415C2×M16—1222no—
416C2×M16—2441no—
417C22×C8—611no—
418C22×C8—611no—
419C22×C8—611no—
420C22×C8—611no—
421C22×C8—1222no—
422C22×C8—1222no—
423C22×C8—1222no—
424C22×C8—1222no—
425C22×C8—1222no—
426C22×C8—1222no—
427C22×C8—2441no—
428C22×C8—2441no—
429C22×C8—2441no—
430C22×C8C22×D6111yescharacteristic
431C22×C8C22×D6111yescharacteristic
432C22×C8C22×D6111yescharacteristic
433C22×C8C22×D6111yescharacteristic
434C4×D4—614no—
435C4×D4—614no—
436#117—41no—
437#117—41no—
438C2×C4⋊C4—611no—
439C2×C4⋊C4—611no—
440C2×C4⋊C4—611no—
441C2×C4⋊C4C4×D6111yescharacteristic
442C2×C4⋊C4C4×D6111yescharacteristic
443C2×C22⋊C4—611no—
444C2×C22⋊C4—611no—
445C2×C22⋊C4—611no—
446C2×C22⋊C4—611no—
447C2×C22⋊C4—611no—
448C2×C22⋊C4—611no—
449C2×C22⋊C4C4×D6111yescharacteristic
450C2×C22⋊C4C4×D6111yescharacteristic
451C2×C42—611no—
452C2×C42—611no—
453C2×C42—611no—
454C2×C42—611no—
455C2×C42—611no—
456C2×C42—2441no—
457C2×C42—2441no—
458C2×C42C22×D6111yescharacteristic
459C2×C42C22×D6111yescharacteristic
460C4⋊C8—41no—
461C4⋊C8—41no—
462C4⋊C8—1222no—
463C4⋊C8—1222no—
464C4⋊C8—1222no—
465C4⋊C8—1222no—
466C4⋊C8—2441no—
467C4⋊C8—2441no—
468C22⋊C8—22no—
469C22⋊C8—22no—
470C22⋊C8—1222no—
471C22⋊C8—1222no—
472#97—1222no—
473C4×C8—1222no—
474#95—611no—
475#95—611no—
476#95—611no—
477#95—611no—
478#95—611no—
479#95—611no—
480#95—611no—
481#95—611no—
482#95—611no—
483#95—611no—
484C24—611no—
485C24C2×C4×D6111yescharacteristic
486C2×D4—614no—
487C2×D4—1222no—
488C2×D4—1222no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—611no—
494C22×C4—611no—
495C22×C4—611no—
496C22×C4—611no—
497C22×C4—612no—
498C22×C4—612no—
499C22×C4—611no—
500C22×C4—611no—
501C22×C4—611no—
502C22×C4—1222no—
503C22×C4—1222no—
504C22×C4—1222no—
505C22×C4—1221no—
506C22×C4—1221no—
507C22×C4—1221no—
508C22×C4—1221no—
509C22×C4—2441no—
510C22×C4—2441no—
511C22×C4—2441no—
512C22×C4C2×C4×D6111yescharacteristic
513C22×C4C2×C4×D6111yescharacteristic
514C22×C4C2×C4×D6111yescharacteristic
515C22×C4C2×C4×D6111yescharacteristic
516C22×C4C2×C4×D6111yescharacteristic
517C22×C4D4×D6112yes—
518C22×C4Q8×D6112yes—
519C22×C4C23×D6111yescharacteristic
520M16—2444no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—612no—
534C2×C8—612no—
535C2×C8—1221no—
536C2×C8—1221no—
537C2×C8—1221no—
538C2×C8—1221no—
539C2×C8—1221no—
540C2×C8—1221no—
541C2×C8—1221no—
542C2×C8—1221no—
543C2×C8—1221no—
544C2×C8—1221no—
545C2×C8—2444no—
546C2×C8—2444no—
547C2×C8—2444no—
548C4⋊C4—41no—
549C4⋊C4—41no—
550C4⋊C4—614no—
551C4⋊C4—1222no—
552C4⋊C4—2441no—
553C22⋊C4—41no—
554C22⋊C4—41no—
555C22⋊C4—614no—
556C22⋊C4—614no—
557C22⋊C4—1222no—
558C22⋊C4—1222no—
559C22⋊C4—1222no—
560C22⋊C4—2441no—
561C42—21no—
562C42—21no—
563C42—21no—
564C42—21no—
565C42—612no—
566C42—612no—
567C42—1221no—
568C42—1221no—
569C42—1221no—
570C42—1221no—
571C42—2441no—
572C42—2441no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—21no—
579C23—612no—
580C23—612no—
581C23—612no—
582C23—1221no—
583C23—1221no—
584C23—1221no—
585C23—1221no—
586C23C4⋊C4×D6112yes—
587C23C22×C4×D6111yescharacteristic
588D4—1228no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—612no—
608C2×C4—612no—
609C2×C4—612no—
610C2×C4—612no—
611C2×C4—1221no—
612C2×C4—1221no—
613C2×C4—1221no—
614C2×C4—1221no—
615C2×C4—1221no—
616C2×C4—1221no—
617C2×C4—1221no—
618C2×C4—1221no—
619C2×C4—1222no—
620C2×C4—1222no—
621C2×C4—1222no—
622C2×C4—1222no—
623C2×C4—1221no—
624C2×C4—1221no—
625C2×C4—1221no—
626C2×C4—1221no—
627C2×C4—1221no—
628C2×C4—1221no—
629C2×C4—1221no—
630C2×C4—1221no—
631C2×C4—1221no—
632C2×C4—2444no—
633C2×C4—2444no—
634C2×C4C4⋊C4×D6112yes—
635C2×C4C2×D4×D6111yescharacteristic
636C2×C4C2×Q8×D6111yescharacteristic
637C2×C4#41×D6111yescharacteristic
638C2×C4#41×D6111yescharacteristic
639C2×C4#1451982211yescharacteristic
640C2×C4#1451982211yescharacteristic
641C8—41no—
642C8—41no—
643C8—41no—
644C8—41no—
645C8—1222no—
646C8—1222no—
647C8—2441no—
648C8—2441no—
649C22—22no—
650C22—22no—
651C22—22no—
652C22—41no—
653C22—41no—
654C22—41no—
655C22—41no—
656C22—614no—
657C22—1222no—
658C22—1222no—
659C22—1222no—
660C22—1222no—
661C22—1222no—
662C22—1222no—
663C22C2×C4⋊C4×D6111yescharacteristic
664C22#1684023011yescharacteristic
665C22#1684023511yescharacteristic
666C22#131×D6111yescharacteristic
667C22#131×D6111yescharacteristic
668C22#131×D6111yescharacteristic
669C22#1684052711yescharacteristic
670C4—22no—
671C4—41no—
672C4—41no—
673C4—41no—
674C4—41no—
675C4—1222no—
676C4—1222no—
677C4—1222no—
678C4—1222no—
679C4—2441no—
680C4—2441no—
681C4—2441no—
682C4#1684040111yescharacteristic
683C4#1684040111yescharacteristic
684C4#1684046611yescharacteristic
685C4#1684046611yescharacteristic
686C2—42no—
687C2—1224no—
688C2#2144872311yescharacteristic
689C2#424×D6111yescharacteristic
690C2#2145438611yescharacteristic
691C2#2145479211yescharacteristic
692C2#2145481111yescharacteristic
693C2#2145486211yescharacteristic
694C2#2145487111yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D61
commutator, socleC23×C61C23×C4
FittingC61×#1798C2
prime radicalC22×C22⋊D61C2×C4
cosocleC22×C4×C61C24
hypercenter#1798D61
hypocenterC61#22697
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C22×C4 ◁ #1798

Complements

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

NH ≅ G/Ntype
4. #21446539C2semidirect
5. #21446534C2semidirect
6. #21446001C2semidirect
7. #21445996C2semidirect
8. #21445995C2semidirect
9. #21445995C2semidirect
10. #21445937C2semidirect
11. #21445798C2semidirect
12. #21445675C2semidirect
13. #21445516C2semidirect
14. #336×D61C2semidirect
15. C61×#1798C2semidirect
349. #1798D61semidirect
408. C61#22697semidirect

Maximal subgroups

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

subgroupindex
C2×#168398362
C2×#168398252
#214482562
#214465392
#214465342
#214460012
#214459962
#214459952
#214459372
#214457982
#214456752
#214455162
#336×D612
C61×#17982
#2269761