Finite Group Databasebeta

← #30609342

Subgroups — #30609342

Order 15616.

1750 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840713C212yesmaximal, complemented
2C2×#16840712C212yesmaximal
3C2×#16840704C212yesmaximal
4#21461007C212yesmaximal, complemented
5#21461004C212yesmaximal, complemented
6#21461002C211yesmaximal, characteristic
7#21461002C211yesmaximal, characteristic
8#21460999C212yesmaximal, complemented
9#385×D61C211yesmaximal, characteristic
10C22×C4⋊#6923C2212yes—
11C22×C4⋊#6923C2211yescharacteristic
12C22×C4⋊#6923C2212yes—
13C22×C4⋊#6923C2212yes—
14C22×C4⋊#6923C2211yescharacteristic
15C22×C22⋊#6923C2212yes—
16C22×C22⋊#6923C2212yes—
17C22×C4×#6923C2212yes—
18#16840713—28no—
19#16840712—28no—
20#16840704—28no—
21C2×(C2×#6923)⋊C4C2212yes—
22C2×(C2×#6923)⋊C4C2212yes—
23C2×(C2×#6923)⋊C4C2212yes—
24C2×(C2×#6923)⋊C4C2212yes—
25C2×(C2×#6923)⋊C4C2211yescharacteristic
26C2×(C2×#6923)⋊C4C2212yes—
27C2×(C2×#6923)⋊C4C2211yescharacteristic
28C2×(C2×#6923)⋊C4C2212yes—
29C23×C4×D61C2211yescharacteristic
30C2×C4⋊C4×D61C2212yes—
31C2×C22⋊C4×D61C2211yescharacteristic
32C2×C22⋊C4×D61C2211yescharacteristic
33#16839637C411yescharacteristic, complemented
34#16839636C412yescomplemented
35#16839635C411yescharacteristic, complemented
36#16839634C411yescharacteristic, complemented
37#16839633C412yescomplemented
38#95×D61C2212yes—
39C61×#385C411yescharacteristic, complemented
40C23×#6923C2312yes—
41C23×#6923C2312yes—
42C23×#6923C2312yes—
43C23×#6923C2312yes—
44C2×C4⋊#6923—24no—
45C2×C4⋊#6923—24no—
46C2×C4⋊#6923—24no—
47C2×C4⋊#6923—24no—
48C2×C4⋊#6923—24no—
49C2×C4⋊#6923—24no—
50C2×C4⋊#6923—24no—
51C2×C4⋊#6923—42no—
52C2×C4⋊#6923—42no—
53C2×C4⋊#6923—42no—
54C2×C4⋊#6923—41no—
55C2×C4⋊#6923—42no—
56C2×C4⋊#6923—41no—
57C2×C22⋊#6923—24no—
58C2×C22⋊#6923—24no—
59C2×C22⋊#6923—24no—
60C2×C22⋊#6923—24no—
61C2×C22⋊#6923—42no—
62C2×C22⋊#6923—42no—
63C2×C4×#6923—24no—
64C2×C4×#6923—24no—
65C2×C4×#6923—42no—
66(C2×#6923)⋊C4—24no—
67(C2×#6923)⋊C4—24no—
68(C2×#6923)⋊C4—24no—
69(C2×#6923)⋊C4—24no—
70(C2×#6923)⋊C4—42no—
71(C2×#6923)⋊C4—41no—
72(C2×#6923)⋊C4—41no—
73(C2×#6923)⋊C4D418yes—
74C24×D61C2311yescharacteristic
75C23×Dic61C2×C411yescharacteristic
76C22×C4×D61—24no—
77C22×C4×D61—24no—
78C22×C4×D61—41no—
79C22×C4×D61—41no—
80C22×C4×D61C2×C412yes—
81C22×C4×D61C2311yescharacteristic
82C22×C4×D61C2311yescharacteristic
83C22×C4×D61C2312yes—
84C22×C4×D61C2312yes—
85C2×C4⋊Dic61C2×C412yes—
86C2×#11758196C2×C412yes—
87C2×#11758196C2×C412yes—
88C4⋊C4×D61—24no—
89C4⋊C4×D61—24no—
90C2×C22⋊Dic61C2×C411yescharacteristic
91C2×C22⋊Dic61C2×C411yescharacteristic
92C2×#11758198C2×C411yescharacteristic
93C2×#11758198C2×C411yescharacteristic
94C2×#11758198C2×C412yes—
95C22⋊C4×D61—41no—
96C22⋊C4×D61—41no—
97C22⋊C4×D61D414yes—
98C22⋊C4×D61Q814yes—
99#14519684C2×C412yes—
100#14519684C2×C412yes—
101#14519684C2×C412yes—
102C23×C4×C61C2×C411yescharacteristic
103C2×C4⋊C4×C61C2×C412yes—
104C2×C22⋊C4×C61C2×C411yescharacteristic
105C2×C22⋊C4×C61C2×C411yescharacteristic
106#95×C61C2×C412yes—
107C24×C61C22×C411yescharacteristic
108C23×D61—22no—
109C23×D61—22no—
110C23×D61—21no—
111C23×D61—21no—
112C23×D61—22no—
113C23×D61—21no—
114C23×D61—21no—
115C23×D61—22no—
116C23×D61C22×C411yescharacteristic
117C23×D61C2×D412yes—
118C23×D61C2×Q812yes—
119C23×D61C2411yescharacteristic
120C22×#6923—22no—
121C22×#6923—22no—
122C22×#6923—22no—
123C22×#6923—22no—
124C22×#6923—22no—
125C22×#6923—22no—
126C22×#6923—22no—
127C22×#6923—22no—
128C22×#6923—22no—
129C22×#6923—22no—
130C22×#6923—22no—
131C22×#6923—22no—
132C22×#6923—22no—
133C22×#6923—22no—
134C22×#6923—22no—
135C22×#6923—22no—
136C22×#6923—22no—
137C22×#6923—22no—
138C22×#6923—22no—
139C22×#6923—22no—
140C22×#6923—22no—
141C22×#6923—22no—
142C22×#6923—22no—
143C22×#6923—22no—
144C22×#6923—22no—
145C22×#6923—22no—
146C22×#6923C2×D414yes—
147C22×#6923C2×D414yes—
148C22×C4×C61—24no—
149C22×C4×C61—41no—
150C22×C4×C61C22×C411yescharacteristic
151C22×C4×C61C22×C411yescharacteristic
152C22×C4×C61C22×C412yes—
153C22×C4×C61C22×C412yes—
154C22×Dic61—24no—
155C22×Dic61—41no—
156C22×Dic61C22×C411yescharacteristic
157C22×Dic61C22×C411yescharacteristic
158C22×Dic61C22×C412yes—
159C22×Dic61C22×C412yes—
160C2×C4×D61—22no—
161C2×C4×D61—22no—
162C2×C4×D61—22no—
163C2×C4×D61—22no—
164C2×C4×D61—22no—
165C2×C4×D61—22no—
166C2×C4×D61—22no—
167C2×C4×D61—22no—
168C2×C4×D61—22no—
169C2×C4×D61—22no—
170C2×C4×D61—22no—
171C2×C4×D61—21no—
172C2×C4×D61—21no—
173C2×C4×D61—21no—
174C2×C4×D61—21no—
175C2×C4×D61—22no—
176C2×C4×D61—24no—
177C2×C4×D61—24no—
178C2×C4×D61—44no—
179C2×C4×D61—48no—
180C2×C4×D61—44no—
181C2×C4×D61—42no—
182C2×C4×D61C2×D414yes—
183C2×C4×D61C2×D414yes—
184C2×C4×D61C2×Q814yes—
185C2×C4×D61#4114yes—
186C22⋊#6923—48no—
187C22⋊#6923—48no—
188C4⋊#6923—48no—
189C4⋊#6923—48no—
190C4⋊#6923—48no—
191C4⋊#6923—44no—
192C4⋊#6923—44no—
193C4×#6923—48no—
194C4⋊C4×C61—24no—
195C22⋊C4×C61—41no—
196C22⋊C4×C61C4⋊C414yescomplemented
197C22⋊Dic61—41no—
198C22⋊Dic61C4⋊C414yescomplemented
199#11758198—41no—
200#11758198—41no—
201#11758198C4⋊C418yescomplemented
202C4⋊Dic61—24no—
203#11758196—24no—
204#11758196—24no—
205C23×C61—22no—
206C23×C61—21no—
207C23×C61—21no—
208C23×C61—22no—
209C23×C61C2×C4⋊C412yes—
210C23×C61C23×C411yescharacteristic
211C22×D61—22no—
212C22×D61—21no—
213C22×D61—21no—
214C22×D61—22no—
215C22×D61—22no—
216C22×D61—22no—
217C22×D61—22no—
218C22×D61—22no—
219C22×D61—24no—
220C22×D61—24no—
221C22×D61—24no—
222C22×D61—24no—
223C22×D61—42no—
224C22×D61—42no—
225C22×D61—42no—
226C22×D61—42no—
227C22×D61—41no—
228C22×D61—42no—
229C22×D61—41no—
230C22×D61—41no—
231C22×D61—42no—
232C22×D61—41no—
233C22×D61C2×C4⋊C412yes—
234C22×D61C22×D412yes—
235C22×D61C22×D411yescharacteristic
236C22×D61C22×Q811yescharacteristic
237C22×D61C2×#4112yes—
238C22×D61H(5,𝔽2)12yes—
239C22×D61H(5,𝔽2)11yescharacteristic
240C22×D61H(5,𝔽2)11yescharacteristic
241C22×D612−1+411yescharacteristic
242C22×D612−1+412yes—
243C22×D612−1+411yescharacteristic
244C2×#6923—24no—
245C2×#6923—24no—
246C2×#6923—24no—
247C2×#6923—24no—
248C2×#6923—24no—
249C2×#6923—24no—
250C2×#6923—42no—
251C2×#6923—42no—
252C2×#6923—42no—
253C2×#6923—42no—
254C2×#6923—42no—
255C2×#6923—42no—
256C2×#6923—42no—
257C2×#6923—42no—
258C2×#6923—42no—
259C2×#6923—42no—
260C2×#6923—42no—
261C2×#6923—42no—
262C2×#6923—42no—
263C2×#6923—42no—
264C2×#6923—42no—
265C2×#6923—42no—
266C2×#6923—42no—
267C2×#6923—42no—
268C2×#6923—42no—
269C2×#6923—42no—
270C2×#6923—42no—
271C2×#6923—42no—
272C2×C4×C61—22no—
273C2×C4×C61—22no—
274C2×C4×C61—22no—
275C2×C4×C61—22no—
276C2×C4×C61—22no—
277C2×C4×C61—21no—
278C2×C4×C61—21no—
279C2×C4×C61—22no—
280C2×C4×C61—44no—
281C2×C4×C61C2×C4⋊C414yes—
282C2×C4×C61C4×D414yes—
283C2×Dic61—22no—
284C2×Dic61—22no—
285C2×Dic61—22no—
286C2×Dic61—22no—
287C2×Dic61—22no—
288C2×Dic61—21no—
289C2×Dic61—21no—
290C2×Dic61—22no—
291C2×Dic61—44no—
292C2×Dic61C2×C4⋊C414yes—
293C2×Dic61C4×D414yes—
294C4×D61—24no—
295C4×D61—24no—
296C4×D61—24no—
297C4×D61—24no—
298C4×D61—24no—
299C4×D61—24no—
300C4×D61—24no—
301C4×D61—24no—
302C4×D61—48no—
303C4×D61—41no—
304C4×D61—42no—
305C4×D61—41no—
306C4×D61—41no—
307C4×D61—42no—
308C4×D61—41no—
309#14402—611nomaximal, Sylow
310C22×C61—22no—
311C22×C61—24no—
312C22×C61—42no—
313C22×C61—41no—
314C22×C61—41no—
315C22×C61C22×C4⋊C411yescharacteristic
316C22×C61C2×C4×D412yes—
317C22×C61#51811yescharacteristic
318C22×C61#51911yescharacteristic
319C22×C61#52012yes—
320C2×D61—22no—
321C2×D61—24no—
322C2×D61—42no—
323C2×D61—41no—
324C2×D61—41no—
325C2×D61—44no—
326C2×D61—42no—
327C2×D61—42no—
328C2×D61—44no—
329C2×D61—42no—
330C2×D61—42no—
331C2×D61#53612yes—
332C2×D61#53711yescharacteristic
333C2×D61#53712yes—
334C2×D61#53711yescharacteristic
335C2×D61#54112yes—
336C2×D61#54212yes—
337C2×D61#54411yescharacteristic
338C2×D61#54411yescharacteristic
339C2×D61D4212yes—
340C2×D61D4211yescharacteristic
341C2×D61#54612yes—
342C2×D61#54712yes—
343C2×D61D4×Q812yes—
344C2×D61#55111yescharacteristic
345C2×D61#55412yes—
346C2×D61#56011yescharacteristic
347C2×D61#56212yes—
348C2×D61#56311yescharacteristic
349#6923—44no—
350#6923—44no—
351#6923—82no—
352#6923—82no—
353C4×C61—24no—
354C4×C61—24no—
355C4×C61—41no—
356C4×C61—41no—
357Dic61—24no—
358Dic61—24no—
359Dic61—41no—
360Dic61—41no—
361C2×#389—612no—
362C2×#388—612no—
363C2×#385—611no—
364C2×#380—612no—
365#1444—612no—
366#1441—612no—
367#1439—611no—
368#1439—611no—
369#1436—612no—
370C2×C61—42no—
371C2×C61#231611yescharacteristic
372C2×C61#232312yes—
373C2×C61D4×C4⋊C412yes—
374C2×C61#235811yescharacteristic
375C2×C61#237611yescharacteristic
376D61—42no—
377D61#267212yes—
378D61#267511yescharacteristic
379D61#267711yescharacteristic
380D61#270412yes—
381D61#272211yescharacteristic
382D61#274211yescharacteristic
383C24×C4—611no—
384C22×C4⋊C4—612no—
385C22×C4⋊C4—612no—
386C22×C4⋊C4—611no—
387C22×C4⋊C4—612no—
388C22×C4⋊C4—612no—
389C22×C4⋊C4—611no—
390C22×C22⋊C4—611no—
391C22×C22⋊C4—611no—
392C22×C22⋊C4—612no—
393C22×C22⋊C4—612no—
394C22×C42—612no—
395#389—1228no—
396#388—1228no—
397#385—611no—
398#385—612no—
399#385—611no—
400#385—611no—
401#385—612no—
402#385#692311yescharacteristic, complemented
403#380—1228no—
404C2×#95—612no—
405C2×#95—612no—
406C2×#95—612no—
407C2×#95—612no—
408C2×#95—612no—
409C2×#95—612no—
410C2×#95—611no—
411C2×#95—612no—
412C2×#95—611no—
413C61#1440211yescharacteristic, complemented, Sylow
414C25—611no—
415C23×C4—612no—
416C23×C4—612no—
417C23×C4—612no—
418C23×C4—612no—
419C23×C4—611no—
420C23×C4—611no—
421C23×C4—611no—
422C23×C4—612no—
423C23×C4—612no—
424C23×C4—612no—
425C23×C4—1224no—
426C23×C4—1224no—
427C23×C4—2441no—
428C23×C4—2441no—
429C23×C4C2×#692311yescharacteristic
430C2×C4⋊C4—612no—
431C2×C4⋊C4—612no—
432C2×C4⋊C4—612no—
433C2×C4⋊C4—1224no—
434C2×C4⋊C4—1224no—
435C2×C4⋊C4—1224no—
436C2×C4⋊C4—1224no—
437C2×C4⋊C4—1224no—
438C2×C4⋊C4—1224no—
439C2×C4⋊C4—1224no—
440C2×C4⋊C4—1224no—
441C2×C4⋊C4—1224no—
442C2×C4⋊C4—2442no—
443C2×C4⋊C4—2442no—
444C2×C4⋊C4—2442no—
445C2×C4⋊C4—2441no—
446C2×C4⋊C4—2442no—
447C2×C4⋊C4—2441no—
448C2×C4⋊C4C2×#692312yes—
449C2×C22⋊C4—611no—
450C2×C22⋊C4—612no—
451C2×C22⋊C4—614no—
452C2×C22⋊C4—614no—
453C2×C22⋊C4—611no—
454C2×C22⋊C4—611no—
455C2×C22⋊C4—611no—
456C2×C22⋊C4—1224no—
457C2×C22⋊C4—1224no—
458C2×C22⋊C4—1224no—
459C2×C22⋊C4—1224no—
460C2×C22⋊C4—2441no—
461C2×C22⋊C4—2441no—
462C2×C22⋊C4—2442no—
463C2×C22⋊C4—2442no—
464C2×C22⋊C4C2×#692311yescharacteristic
465C2×C22⋊C4C2×#692311yescharacteristic
466C2×C42—1224no—
467C2×C42—1224no—
468C2×C42—2442no—
469#95—618no—
470#95—612no—
471#95—612no—
472#95—612no—
473#95—1224no—
474#95—1224no—
475#95—1224no—
476#95—1224no—
477#95—2441no—
478#95—2441no—
479#95—2442no—
480#95C2×#692312yes—
481C24—611no—
482C24—612no—
483C24—612no—
484C24—611no—
485C24—1222no—
486C24—1222no—
487C24—1221no—
488C24—1221no—
489C24—1222no—
490C24—1221no—
491C24—1221no—
492C24—1222no—
493C24C22×#692311yescharacteristic
494C22×C4—24no—
495C22×C4—41no—
496C22×C4—612no—
497C22×C4—612no—
498C22×C4—614no—
499C22×C4—614no—
500C22×C4—614no—
501C22×C4—614no—
502C22×C4—614no—
503C22×C4—614no—
504C22×C4—611no—
505C22×C4—611no—
506C22×C4—1224no—
507C22×C4—1222no—
508C22×C4—1222no—
509C22×C4—1222no—
510C22×C4—1222no—
511C22×C4—1222no—
512C22×C4—1222no—
513C22×C4—1222no—
514C22×C4—1222no—
515C22×C4—1222no—
516C22×C4—1221no—
517C22×C4—1221no—
518C22×C4—1222no—
519C22×C4—1221no—
520C22×C4—1221no—
521C22×C4—1222no—
522C22×C4—1222no—
523C22×C4—1224no—
524C22×C4—1222no—
525C22×C4—1222no—
526C22×C4—1222no—
527C22×C4—1222no—
528C22×C4—1222no—
529C22×C4—1222no—
530C22×C4—1222no—
531C22×C4—1222no—
532C22×C4—1222no—
533C22×C4—1222no—
534C22×C4—1222no—
535C22×C4—1222no—
536C22×C4—1224no—
537C22×C4—1222no—
538C22×C4—1222no—
539C22×C4—1222no—
540C22×C4—1222no—
541C22×C4—1222no—
542C22×C4—1222no—
543C22×C4—1222no—
544C22×C4—1222no—
545C22×C4—1222no—
546C22×C4—1222no—
547C22×C4—1222no—
548C22×C4—1222no—
549C22×C4—1222no—
550C22×C4—1222no—
551C22×C4—2442no—
552C22×C4—2444no—
553C22×C4—2448no—
554C22×C4—2444no—
555C22×C4—2441no—
556C22×C4C22×#692311yescharacteristic
557C22×C4C22×#692311yescharacteristic
558C22×C4C22×#692312yes—
559C22×C4C22×#692312yes—
560C4⋊C4—24no—
561C4⋊C4—1224no—
562C4⋊C4—1224no—
563C4⋊C4—1224no—
564C4⋊C4—2448no—
565C4⋊C4—2448no—
566C4⋊C4—2448no—
567C4⋊C4—2444no—
568C4⋊C4—2444no—
569C22⋊C4—41no—
570C22⋊C4—614no—
571C22⋊C4—618no—
572C22⋊C4—2441no—
573C22⋊C4—2441no—
574C22⋊C4—2441no—
575C22⋊C4—2448no—
576C22⋊C4—2448no—
577C22⋊C4C4⋊#692314yescomplemented
578C42—2448no—
579C23—22no—
580C23—21no—
581C23—21no—
582C23—22no—
583C23—611no—
584C23—611no—
585C23—612no—
586C23—612no—
587C23—611no—
588C23—611no—
589C23—611no—
590C23—611no—
591C23—612no—
592C23—612no—
593C23—612no—
594C23—1224no—
595C23—1222no—
596C23—1222no—
597C23—1222no—
598C23—1222no—
599C23—1224no—
600C23—1224no—
601C23—1224no—
602C23—1222no—
603C23—1221no—
604C23—1221no—
605C23—1222no—
606C23—2441no—
607C23—2442no—
608C23—2441no—
609C23—2442no—
610C23—2442no—
611C23—2442no—
612C23—2442no—
613C23—2441no—
614C23—2442no—
615C23—2441no—
616C23C2×C4⋊#692312yes—
617C23C23×#692311yescharacteristic
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—22no—
626C2×C4—44no—
627C2×C4—614no—
628C2×C4—614no—
629C2×C4—1224no—
630C2×C4—1224no—
631C2×C4—1224no—
632C2×C4—1224no—
633C2×C4—1224no—
634C2×C4—1224no—
635C2×C4—1224no—
636C2×C4—1224no—
637C2×C4—1222no—
638C2×C4—1222no—
639C2×C4—1222no—
640C2×C4—1222no—
641C2×C4—1224no—
642C2×C4—1224no—
643C2×C4—1224no—
644C2×C4—1224no—
645C2×C4—1224no—
646C2×C4—1224no—
647C2×C4—1222no—
648C2×C4—1221no—
649C2×C4—1221no—
650C2×C4—1222no—
651C2×C4—2448no—
652C2×C4—2441no—
653C2×C4—2441no—
654C2×C4—2442no—
655C2×C4—2441no—
656C2×C4—2442no—
657C2×C4—2441no—
658C2×C4—2444no—
659C2×C4—2442no—
660C2×C4—2442no—
661C2×C4—2442no—
662C2×C4—2442no—
663C2×C4—2442no—
664C2×C4—2442no—
665C2×C4—2442no—
666C2×C4—2442no—
667C2×C4—2442no—
668C2×C4—2442no—
669C2×C4—2442no—
670C2×C4—2442no—
671C2×C4—2442no—
672C2×C4—2442no—
673C2×C4—2442no—
674C2×C4—2442no—
675C2×C4—2442no—
676C2×C4—2442no—
677C2×C4—2442no—
678C2×C4—2442no—
679C2×C4—2442no—
680C2×C4—2442no—
681C2×C4C2×C4⋊#692314yes—
682C2×C4D4×#692314yes—
683C22—22no—
684C22—24no—
685C22—42no—
686C22—41no—
687C22—41no—
688C22—611no—
689C22—611no—
690C22—611no—
691C22—611no—
692C22—612no—
693C22—612no—
694C22—612no—
695C22—612no—
696C22—612no—
697C22—612no—
698C22—612no—
699C22—612no—
700C22—611no—
701C22—612no—
702C22—611no—
703C22—611no—
704C22—612no—
705C22—611no—
706C22—1222no—
707C22—1224no—
708C22—2442no—
709C22—2444no—
710C22—2442no—
711C22—2444no—
712C22—2442no—
713C22—2442no—
714C22—2442no—
715C22—2441no—
716C22—2441no—
717C22C22×C4⋊#692311yescharacteristic
718C22C2×D4×#692312yes—
719C22#1684082911yescharacteristic
720C22#1684083011yescharacteristic
721C22#1684083112yes—
722C4—24no—
723C4—24no—
724C4—41no—
725C4—41no—
726C4—1224no—
727C4—1224no—
728C4—4882no—
729C4—4882no—
730C4—2444no—
731C4—2444no—
732C4—2441no—
733C4—2441no—
734C2—42no—
735C2—611no—
736C2—612no—
737C2—611no—
738C2—612no—
739C2—611no—
740C2—611no—
741C2—2442no—
742C2#2146229911yescharacteristic
743C2#2146230612yes—
744C2D4×C4⋊#692312yes—
745C2#2146234111yescharacteristic
746C2#2146235911yescharacteristic
subgroupG/H
center, FrattiniC23C23×#6923
commutator, socleC23×C61C23×C4
FittingC61×#385C4
prime radicalC24×D61C23
cosocleC23×D61C24
hypercenter#385#6923
hypocenterC61#14402
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #385

Complements

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

NH ≅ G/Ntype
1. C2×#16840713C2semidirect
4. #21461007C2semidirect
5. #21461004C2semidirect
8. #21460999C2semidirect
33. #16839637C4semidirect
34. #16839636C4semidirect
35. #16839635C4semidirect
36. #16839634C4semidirect
37. #16839633C4semidirect
39. C61×#385C4semidirect
196. C22⋊C4×C61C4⋊C4semidirect
198. C22⋊Dic61C4⋊C4semidirect
201. #11758198C4⋊C4semidirect
402. #385#6923semidirect
413. C61#14402semidirect
577. C22⋊C4C4⋊#6923semidirect

Maximal subgroups

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

subgroupindex
C2×#168407132
C2×#168407122
C2×#168407042
#214610072
#214610042
#214610022
#214609992
#385×D612
#1440261