Finite Group Databasebeta

← #29698556

Subgroups — #29698556

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×#16839833C211yesmaximal, characteristic
2C2×C8×C22⋊D61C211yesmaximal, characteristic
3#21448262C211yesmaximal, characteristic
4#21446541C211yesmaximal, characteristic, complemented
5#21446536C211yesmaximal, characteristic, complemented
6#21446003C211yesmaximal, characteristic, complemented
7#21445998C211yesmaximal, characteristic, complemented
8#21445997C211yesmaximal, characteristic, complemented
9#21445997C211yesmaximal, characteristic, complemented
10#21445937C211yesmaximal, characteristic, complemented
11#21445802C211yesmaximal, characteristic, complemented
12#21445799C211yesmaximal, characteristic, complemented
13#21445675C211yesmaximal, characteristic, complemented
14#21445514C211yesmaximal, characteristic, complemented
15C2×C61×#336C211yesmaximal, characteristic, complemented
16C22×#11758189C2211yescharacteristic
17C22×C8×D61C2211yescharacteristic
18C2×C4×C22⋊D61C2211yescharacteristic
19C2×#14519734C2211yescharacteristic
20#16839833—24no—
21C8×C22⋊D61—24no—
22C2×C4⋊#92418C2211yescharacteristic
23C2×C4⋊#92418C2211yescharacteristic
24C2×#14519706C2211yescharacteristic
25C2×#14519706C2211yescharacteristic
26C2×#14519706C2211yescharacteristic
27C2×#14519706C2211yescharacteristic
28C2×#14519706C2211yescharacteristic
29C2×#14519706C2211yescharacteristic
30C2×C22⋊#92418C2211yescharacteristic
31C2×C22⋊#92418C2211yescharacteristic
32C2×#14519689C2211yescharacteristic
33C2×#14519689C2211yescharacteristic
34C2×#14519687C2211yescharacteristic
35C2×C8×Dic61C2211yescharacteristic
36#16839653C411yescharacteristic
37#16839653C411yescharacteristic
38#16839646C411yescharacteristic
39#16839646C411yescharacteristic
40#16839641C411yescharacteristic
41#16839641C411yescharacteristic
42#16839635C411yescharacteristic
43#16839635C411yescharacteristic
44C4×#11758196C2211yescharacteristic
45C4×#11758198C2211yescharacteristic
46C4×C22⋊Dic61C2211yescharacteristic
47#16839608C2211yescharacteristic
48#16839517C2211yescharacteristic
49#16839517C2211yescharacteristic
50#16839516C2211yescharacteristic
51#16839516C2211yescharacteristic
52#16839516C2211yescharacteristic
53#16839516C2211yescharacteristic
54C23×C8×C61C2211yescharacteristic
55C23×C8×C61C2211yescharacteristic
56C22×C42×C61C2211yescharacteristic
57C61×#336C2211yescharacteristic
58C61×#336C2211yescharacteristic
59C61×#336C2211yescharacteristic
60C61×#336C2211yescharacteristic
61C22×C22⋊D61C2×C411yescharacteristic
62C22×C4×D61C2311yescharacteristic
63C2×#11758189—22no—
64C2×#11758189—22no—
65C2×#11758189—41no—
66C22×#92418C2311yescharacteristic
67C22×#92418C2311yescharacteristic
68C22×#92418C2311yescharacteristic
69C22×#92418C2311yescharacteristic
70C2×C8×D61—22no—
71C2×C8×D61—22no—
72C2×C8×D61—41no—
73C4×C22⋊D61D414yes—
74C4×C22⋊D61Q814yes—
75#14519734—41no—
76#14519734—41no—
77C2×#11758196C2×C411yescharacteristic
78C2×#11758196C2×C411yescharacteristic
79C2×#11758196C2×C411yescharacteristic
80C2×#11758196C2×C411yescharacteristic
81C2×#11758196C2×C411yescharacteristic
82C2×C22⋊Dic61C2×C411yescharacteristic
83C2×C22⋊Dic61C2×C411yescharacteristic
84C2×C22⋊Dic61C2×C411yescharacteristic
85C2×#11758198C2×C411yescharacteristic
86C2×#11758198C2×C411yescharacteristic
87C2×#11758198C2×C411yescharacteristic
88C2×#11758198C2×C411yescharacteristic
89C2×#11758198C2×C411yescharacteristic
90C2×C4×Dic61C2311yescharacteristic
91C2×C4×Dic61C2311yescharacteristic
92C2×C4×Dic61C2311yescharacteristic
93C4⋊#92418—41no—
94C4⋊#92418—41no—
95#14519706—22no—
96#14519706—22no—
97#14519706—22no—
98#14519706—22no—
99#14519706—41no—
100#14519706—41no—
101C22⋊#92418—22no—
102C22⋊#92418—22no—
103#14519689—22no—
104#14519689—22no—
105#14519687—22no—
106C8×Dic61—22no—
107#14519684C2×C411yescharacteristic
108#14519684C2×C411yescharacteristic
109#14519684C2×C411yescharacteristic
110#14519684C2×C411yescharacteristic
111#14519684C2×C411yescharacteristic
112#14519684C2×C411yescharacteristic
113#14519684C2×C411yescharacteristic
114#14519684C2×C411yescharacteristic
115#14519684C2×C411yescharacteristic
116#14519684C2×C411yescharacteristic
117C23×C4×C61C2×C411yescharacteristic
118C23×C4×C61C2×C411yescharacteristic
119C23×C4×C61C2311yescharacteristic
120C22×C8×C61—22no—
121C22×C8×C61—22no—
122C22×C8×C61—22no—
123C22×C8×C61—22no—
124C22×C8×C61—41no—
125C22×C8×C61—41no—
126C22×C8×C61C2311yescharacteristic
127C22×C8×C61C2311yescharacteristic
128C22×C8×C61C2311yescharacteristic
129C22×C8×C61C2311yescharacteristic
130C2×C42×C61—41no—
131C2×C42×C61—41no—
132C2×C42×C61C2×C411yescharacteristic
133C2×C42×C61C2×C411yescharacteristic
134C2×C42×C61C2311yescharacteristic
135C2×C42×C61C2311yescharacteristic
136C24×C61C22×C411yescharacteristic
137C23×D61C22×C411yescharacteristic
138C22×C4×C61—21no—
139C22×C4×C61—21no—
140C22×C4×C61—21no—
141C22×C4×C61—21no—
142C22×C4×C61—22no—
143C22×C4×C61—22no—
144C22×C4×C61—22no—
145C22×C4×C61—41no—
146C22×C4×C61—41no—
147C22×C4×C61—41no—
148C22×C4×C61C22×C411yescharacteristic
149C22×C4×C61C22×C411yescharacteristic
150C22×C4×C61C22×C411yescharacteristic
151C22×C4×C61C22×C411yescharacteristic
152C22×C4×C61C22×C411yescharacteristic
153C22×C4×C61C2×D412yes—
154C22×C4×C61C2×Q812yes—
155C22×C4×C61C2411yescharacteristic
156C2×C22⋊D61—22no—
157C2×C22⋊D61—22no—
158C2×C22⋊D61C4⋊C414yes—
159C22×Dic61C22×C411yescharacteristic
160C22×Dic61C22×C411yescharacteristic
161C22×Dic61C22×C411yescharacteristic
162C22×Dic61C22×C411yescharacteristic
163C22×Dic61C22×C411yescharacteristic
164C22×Dic61C22×C411yescharacteristic
165C22×Dic61C22×C411yescharacteristic
166C2×C4×D61—21no—
167C2×C4×D61—21no—
168C2×C4×D61—21no—
169C2×C4×D61—21no—
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—44no—
183C2×C8×C61—44no—
184C2×C8×C61#4112yes—
185C2×C8×C61#4112yes—
186C42×C61—21no—
187C42×C61—21no—
188C42×C61—21no—
189C42×C61—21no—
190C42×C61—41no—
191C42×C61—41no—
192C22⋊Dic61—22no—
193C22⋊Dic61—22no—
194C22⋊Dic61C4⋊C414yes—
195#11758198—22no—
196#11758198—41no—
197#11758198—41no—
198#11758198—41no—
199#11758198C4⋊C414yes—
200#11758196—22no—
201#11758196—41no—
202#11758196—41no—
203#11758196—41no—
204#11758196C4⋊C414yes—
205C4×Dic61—21no—
206C4×Dic61—21no—
207C4×Dic61—21no—
208C4×Dic61—21no—
209C4×Dic61C2×D412yes—
210C4×Dic61C2×Q812yes—
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—21no—
221C2×#92418—21no—
222C2×#92418—21no—
223#11758189—44no—
224C8×D61—44no—
225C23×C61—21no—
226C23×C61—21no—
227C23×C61—21no—
228C23×C61—21no—
229C23×C61C2×C4⋊C412yes—
230C23×C61#13112yes—
231C23×C61#13112yes—
232C23×C61C23×C411yescharacteristic
233C22×D61—21no—
234C22×D61—21no—
235C22×D61—21no—
236C22×D61—21no—
237C22×D61—21no—
238C22×D61—21no—
239C22×D61C2×C4⋊C412yes—
240C2×C4×C61—21no—
241C2×C4×C61—21no—
242C2×C4×C61—21no—
243C2×C4×C61—21no—
244C2×C4×C61—22no—
245C2×C4×C61—22no—
246C2×C4×C61—22no—
247C2×C4×C61—22no—
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—44no—
258C2×C4×C61—44no—
259C2×C4×C61C2×C4⋊C412yes—
260C2×C4×C61#13112yes—
261C2×C4×C61C22×D411yescharacteristic
262C2×C4×C61C22×Q811yescharacteristic
263C2×C4×C61C2×#4111yescharacteristic
264C2×C4×C61C2×#4111yescharacteristic
265C2×C4×C61H(5,𝔽2)11yescharacteristic
266C2×C4×C61H(5,𝔽2)11yescharacteristic
267C22⋊D61—28no—
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×Dic61—21no—
284C2×Dic61—21no—
285C2×Dic61—21no—
286C2×Dic61C2×C4⋊C412yes—
287C2×Dic61C2×C4⋊C412yes—
288C2×Dic61C2×C4⋊C412yes—
289C4×D61—22no—
290C4×D61—22no—
291C4×D61—22no—
292C4×D61—22no—
293C8×C61—22no—
294C8×C61—22no—
295C8×C61—41no—
296C8×C61—41no—
297#92418—41no—
298#92418—41no—
299#92418—41no—
300#92418—41no—
301#22697—611nomaximal, Sylow
302C22×C61—22no—
303C22×C61—22no—
304C22×C61—22no—
305C22×C61—22no—
306C22×C61—22no—
307C22×C61—22no—
308C22×C61#42414yes—
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—41no—
320C2×D61—41no—
321C2×D61—41no—
322C2×D61—41no—
323C4×C61—22no—
324C4×C61—22no—
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—41no—
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#1798—611no—
350#1797—611no—
351#1768—611no—
352#1729—611no—
353C2×#336D6111yescharacteristic, complemented
354C2×C61—24no—
355C2×C61#234911yescharacteristic
356C2×C61C2×#42411yescharacteristic
357C2×C61#290611yescharacteristic
358C2×C61#296611yescharacteristic
359C2×C61#296811yescharacteristic
360C2×C61#297611yescharacteristic
361C2×C61#297711yescharacteristic
362D61—42no—
363C22×M16—611no—
364C23×C8—611no—
365C23×C8C2×D6111yescharacteristic
366C23×C8C2×D6111yescharacteristic
367C2×C4×D4—611no—
368C2×#117—611no—
369C22×C42C2×D6111yescharacteristic
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⋊C8—611no—
379C2×C4⋊C8—611no—
380C2×C22⋊C8—611no—
381C2×C22⋊C8—611no—
382C2×C22⋊C8—611no—
383C2×C22⋊C8—611no—
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#336C2×D6111yescharacteristic
405#336C2×D6111yescharacteristic
406#336C2×D6111yescharacteristic
407#336C2×D6111yescharacteristic
408C61#2269711yescharacteristic, complemented, Sylow
409C22×D4—611no—
410C23×C4—611no—
411C23×C4C4×D6111yescharacteristic
412C23×C4C4×D6111yescharacteristic
413C23×C4C22×D6111yescharacteristic
414C2×M16—1222no—
415C2×M16—1222no—
416C2×M16—2441no—
417C22×C8—22no—
418C22×C8—22no—
419C22×C8—22no—
420C22×C8—22no—
421C22×C8—41no—
422C22×C8—41no—
423C22×C8—611no—
424C22×C8—611no—
425C22×C8—611no—
426C22×C8—611no—
427C22×C8—1222no—
428C22×C8—1222no—
429C22×C8—2441no—
430C22×C8C22×D6111yescharacteristic
431C22×C8C22×D6111yescharacteristic
432C22×C8C22×D6111yescharacteristic
433C22×C8C22×D6111yescharacteristic
434C4×D4—614no—
435C4×D4—614no—
436#117—2441no—
437#117—2441no—
438C2×C4⋊C4—611no—
439C2×C4⋊C4—611no—
440C2×C4⋊C4—611no—
441C2×C4⋊C4—611no—
442C2×C4⋊C4—611no—
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⋊C4—611no—
450C2×C22⋊C4—611no—
451C2×C42—41no—
452C2×C42—41no—
453C2×C42—611no—
454C2×C42—611no—
455C2×C42—611no—
456C2×C42C4×D6111yescharacteristic
457C2×C42C4×D6111yescharacteristic
458C2×C42C22×D6111yescharacteristic
459C2×C42C22×D6111yescharacteristic
460C4⋊C8—1222no—
461C4⋊C8—1222no—
462C4⋊C8—1222no—
463C4⋊C8—1222no—
464C4⋊C8—2441no—
465C4⋊C8—2441no—
466C4⋊C8—2441no—
467C4⋊C8—2441no—
468C22⋊C8—1222no—
469C22⋊C8—1222no—
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—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—41no—
497C22×C4—41no—
498C22×C4—41no—
499C22×C4—611no—
500C22×C4—611no—
501C22×C4—611no—
502C22×C4—612no—
503C22×C4—612no—
504C22×C4—611no—
505C22×C4—611no—
506C22×C4—611no—
507C22×C4—611no—
508C22×C4—1221no—
509C22×C4—1221no—
510C22×C4—1221no—
511C22×C4—1221no—
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—44no—
532C2×C8—44no—
533C2×C8—1221no—
534C2×C8—1221no—
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#1175822212yes—
547C2×C8#1175822212yes—
548C4⋊C4—614no—
549C4⋊C4—1222no—
550C4⋊C4—2441no—
551C4⋊C4—2441no—
552C4⋊C4—2441no—
553C22⋊C4—614no—
554C22⋊C4—614no—
555C22⋊C4—1222no—
556C22⋊C4—1222no—
557C22⋊C4—1222no—
558C22⋊C4—2441no—
559C22⋊C4—2441no—
560C22⋊C4—2441no—
561C42—21no—
562C42—21no—
563C42—21no—
564C42—21no—
565C42—41no—
566C42—41no—
567C42—612no—
568C42—612no—
569C42—1221no—
570C42—1221no—
571C42—1221no—
572C42—1221no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—612no—
578C23—1221no—
579C23—1221no—
580C23—1221no—
581C23—1221no—
582C23—1221no—
583C23—1221no—
584C23C4⋊C4×D6112yes—
585C23#1451978312yes—
586C23#1451978512yes—
587C23C22×C4×D6111yescharacteristic
588D4—1228no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
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—44no—
607C2×C4—44no—
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—1222no—
618C2×C4—1222no—
619C2×C4—1222no—
620C2×C4—1222no—
621C2×C4—1221no—
622C2×C4—1221no—
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—1221no—
633C2×C4C4⋊C4×D6112yes—
634C2×C4#1451978312yes—
635C2×C4C2×D4×D6111yescharacteristic
636C2×C4C2×Q8×D6111yescharacteristic
637C2×C4C2×#1175822211yescharacteristic
638C2×C4C2×#1175822211yescharacteristic
639C2×C4#1451982211yescharacteristic
640C2×C4#1451982211yescharacteristic
641C8—22no—
642C8—22no—
643C8—41no—
644C8—41no—
645C8—2441no—
646C8—2441no—
647C8—2441no—
648C8—2441no—
649C22—22no—
650C22—22no—
651C22—22no—
652C22—22no—
653C22—22no—
654C22—22no—
655C22—1222no—
656C22—1222no—
657C22—1222no—
658C22—2441no—
659C22—2441no—
660C22—2441no—
661C22—2441no—
662C22#1683978714yes—
663C22C2×C4⋊C4×D6111yescharacteristic
664C22C4×#1175822211yescharacteristic
665C22#1684023511yescharacteristic
666C22C2×#1451978311yescharacteristic
667C22C2×#1451978311yescharacteristic
668C22C2×#1451978511yescharacteristic
669C22#1684052811yescharacteristic
670C4—22no—
671C4—22no—
672C4—41no—
673C4—41no—
674C4—41no—
675C4—1222no—
676C4—1222no—
677C4—1222no—
678C4—2441no—
679C4—2441no—
680C4—2441no—
681C4—2441no—
682C4#1684040211yescharacteristic
683C4#1684040211yescharacteristic
684C4#1684046711yescharacteristic
685C4#1684046711yescharacteristic
686C2—24no—
687C2—2442no—
688C2#2144872611yescharacteristic
689C2C2×#1683978711yescharacteristic
690C2#2145438411yescharacteristic
691C2#2145479411yescharacteristic
692C2#2145481311yescharacteristic
693C2#2145486411yescharacteristic
694C2#2145487311yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D61
commutator, socleC23×C61C23×C4
FittingC2×C61×#336C2
prime radicalC22×C22⋊D61C2×C4
cosocleC22×C4×C61C24
hypercenterC2×#336D61
hypocenterC61#22697
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C22×C4 ◁ C2×#336

Complements

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

NH ≅ G/Ntype
4. #21446541C2semidirect
5. #21446536C2semidirect
6. #21446003C2semidirect
7. #21445998C2semidirect
8. #21445997C2semidirect
9. #21445997C2semidirect
10. #21445937C2semidirect
11. #21445802C2semidirect
12. #21445799C2semidirect
13. #21445675C2semidirect
14. #21445514C2semidirect
15. C2×C61×#336C2semidirect
353. C2×#336D61semidirect
408. C61#22697semidirect

Maximal subgroups

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

subgroupindex
C2×#168398332
C2×C8×C22⋊D612
#214482622
#214465412
#214465362
#214460032
#214459982
#214459972
#214459372
#214458022
#214457992
#214456752
#214455142
C2×C61×#3362
#2269761