Finite Group Databasebeta

← #29700056

Subgroups — #29700056

Order 15616.

924 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×#14519737C211yesmaximal, characteristic
2#21446611C211yesmaximal, characteristic
3#21446611C211yesmaximal, characteristic
4#21446427C211yesmaximal, characteristic, complemented
5#21446426C211yesmaximal, characteristic, complemented
6#21446424C211yesmaximal, characteristic, complemented
7#21445934C211yesmaximal, characteristic, complemented
8#21445886C211yesmaximal, characteristic, complemented
9#21445885C211yesmaximal, characteristic, complemented
10C8×#11758196C211yesmaximal, characteristic, complemented
11#21445680C211yesmaximal, characteristic, complemented
12C4⋊C8×Dic61C211yesmaximal, characteristic, complemented
13C22⋊C8×Dic61C211yesmaximal, characteristic, complemented
14C4×#14519689C211yesmaximal, characteristic, complemented
15C61×#1923C211yesmaximal, characteristic, complemented
16C2×C4×C22⋊D61C2211yescharacteristic
17C2×#14519737C411yescharacteristic
18C2×#14519737C411yescharacteristic
19C22×C4×Dic61C2211yescharacteristic
20C2×C42×D61C2211yescharacteristic
21C2×C4⋊#92418C2211yescharacteristic
22C2×#14519706C2211yescharacteristic
23C2×#14519706C2211yescharacteristic
24C2×C22⋊#92418C2211yescharacteristic
25C2×C22⋊#92418C2211yescharacteristic
26C2×#14519689C2211yescharacteristic
27C2×#14519689C2211yescharacteristic
28C2×#14519689C2211yescharacteristic
29C2×#14519689C2211yescharacteristic
30C2×C4×#92418C2211yescharacteristic
31C2×C8×Dic61C2211yescharacteristic
32C2×C8×Dic61C2211yescharacteristic
33C2×C8×Dic61C2211yescharacteristic
34C2×C8×Dic61C2211yescharacteristic
35C4×#11758196C2211yescharacteristic
36#16839613C411yescharacteristic
37#16839613C411yescharacteristic
38C22⋊C4×Dic61C411yescharacteristic
39C22⋊C4×Dic61C411yescharacteristic
40C4×#11758198C2211yescharacteristic
41#16839609C411yescharacteristic
42#16839609C411yescharacteristic
43C42×Dic61C2211yescharacteristic
44#16839517C2211yescharacteristic
45#16839517C2211yescharacteristic
46#16839516C2211yescharacteristic
47#16839516C2211yescharacteristic
48#16839516C2211yescharacteristic
49#16839516C2211yescharacteristic
50#16839516C2211yescharacteristic
51#16839516C2211yescharacteristic
52C2×C4⋊C8×C61C2211yescharacteristic
53C2×C22⋊C8×C61C2211yescharacteristic
54C2×C22⋊C8×C61C2211yescharacteristic
55C2×C4×C8×C61C2211yescharacteristic
56C4×C22⋊C4×C61C2211yescharacteristic
57C61×#336C2211yescharacteristic
58C61×#336C2211yescharacteristic
59C22×C22⋊D61C2×C411yescharacteristic
60C23×Dic61C2×C411yescharacteristic
61C23×Dic61C2×C411yescharacteristic
62C22×C4×D61C2×C411yescharacteristic
63C22×C4×D61C2×C411yescharacteristic
64C22×C4×D61C2311yescharacteristic
65C22×#92418C2311yescharacteristic
66C22×#92418C2311yescharacteristic
67C22×#92418C2311yescharacteristic
68C22×#92418C2311yescharacteristic
69C4×C22⋊D61—22no—
70C4×C22⋊D61—22no—
71#14519737—24no—
72#14519737C818yescomplemented
73C2×#11758196C2×C411yescharacteristic
74C2×#11758196C2×C411yescharacteristic
75C2×#11758196C2×C411yescharacteristic
76C2×C22⋊Dic61C2×C411yescharacteristic
77C2×#11758198C2×C411yescharacteristic
78C2×#11758198C2×C411yescharacteristic
79C2×#11758198C2×C411yescharacteristic
80C2×C4×Dic61—41no—
81C2×C4×Dic61—41no—
82C2×C4×Dic61C2×C411yescharacteristic
83C2×C4×Dic61C2×C411yescharacteristic
84C2×C4×Dic61C2×C411yescharacteristic
85C2×C4×Dic61C2×C411yescharacteristic
86C2×C4×Dic61C2×C411yescharacteristic
87C2×C4×Dic61C2×C411yescharacteristic
88C2×C4×Dic61C2×C411yescharacteristic
89C2×C4×Dic61C2×C411yescharacteristic
90C2×C4×Dic61C2311yescharacteristic
91C2×C4×Dic61C2311yescharacteristic
92C2×C4×Dic61C2311yescharacteristic
93C42×D61—41no—
94C42×D61—41no—
95C4⋊#92418—22no—
96#14519706—22no—
97#14519706—22no—
98C22⋊#92418—22no—
99C22⋊#92418—41no—
100#14519689—22no—
101#14519689—22no—
102#14519689—41no—
103#14519689—41no—
104C4×#92418—41no—
105C8×Dic61—22no—
106C8×Dic61—22no—
107C8×Dic61—41no—
108C8×Dic61—41no—
109#14519684C2×C411yescharacteristic
110#14519684C2×C411yescharacteristic
111#14519684C2×C411yescharacteristic
112#14519684C2×C411yescharacteristic
113C23×C4×C61C2311yescharacteristic
114C22×C8×C61C2311yescharacteristic
115C22×C8×C61C2311yescharacteristic
116C22×C8×C61C2311yescharacteristic
117C22×C8×C61C2311yescharacteristic
118C2×C22⋊C4×C61C2×C411yescharacteristic
119C2×C22⋊C4×C61C2×C411yescharacteristic
120C2×C42×C61C2311yescharacteristic
121C2×C42×C61C2311yescharacteristic
122C4⋊C8×C61—22no—
123C22⋊C8×C61—22no—
124C22⋊C8×C61—41no—
125C4×C8×C61—41no—
126#95×C61C2×C411yescharacteristic
127#95×C61C2×C411yescharacteristic
128C24×C61C22×C411yescharacteristic
129C23×D61C22×C411yescharacteristic
130C22×C4×C61—21no—
131C22×C4×C61—21no—
132C22×C4×C61—21no—
133C22×C4×C61—21no—
134C22×C4×C61—21no—
135C22×C4×C61—21no—
136C22×C4×C61C22×C411yescharacteristic
137C22×C4×C61C22×C411yescharacteristic
138C22×C4×C61C22×C411yescharacteristic
139C22×C4×C61C22×C411yescharacteristic
140C22×C4×C61C22×C411yescharacteristic
141C22×C4×C61C2411yescharacteristic
142C2×C22⋊D61—22no—
143C2×C22⋊D61—22no—
144C2×C22⋊D61C2×C814yes—
145C22×Dic61—22no—
146C22×Dic61—22no—
147C22×Dic61—41no—
148C22×Dic61—41no—
149C22×Dic61—41no—
150C22×Dic61C2×C814yes—
151C22×Dic61C22×C411yescharacteristic
152C22×Dic61C22×C411yescharacteristic
153C22×Dic61C22×C411yescharacteristic
154C22×Dic61C22×C411yescharacteristic
155C22×Dic61C22×C411yescharacteristic
156C22×Dic61C22×C411yescharacteristic
157C22×Dic61C22×C411yescharacteristic
158C2×C4×D61—22no—
159C2×C4×D61—21no—
160C2×C4×D61—21no—
161C2×C4×D61—21no—
162C2×C4×D61—21no—
163C2×C4×D61—21no—
164C2×C4×D61—21no—
165C2×C4×D61—22no—
166C2×C4×D61—41no—
167C2×C4×D61—41no—
168C2×C4×D61—41no—
169C2×C4×D61C2×C814yes—
170C2×C8×C61—21no—
171C2×C8×C61—21no—
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#4112yes—
182C22⋊C4×C61—22no—
183C22⋊C4×C61C2×C814yes—
184C42×C61—21no—
185C42×C61—21no—
186C42×C61—21no—
187C42×C61—21no—
188C22⋊Dic61—22no—
189#11758198—22no—
190#11758198—22no—
191#11758198C2×C814yes—
192#11758196—22no—
193#11758196C2×C814yes—
194#11758196M1614yes—
195C4×Dic61—21no—
196C4×Dic61—21no—
197C4×Dic61—21no—
198C4×Dic61—21no—
199C4×Dic61—22no—
200C4×Dic61—22no—
201C4×Dic61—41no—
202C4×Dic61—41no—
203C4×Dic61—41no—
204C4×Dic61—41no—
205C4×Dic61—41no—
206C4×Dic61C2×C814yes—
207C4×Dic61#4112yes—
208C4×Dic61#4112yes—
209C2×#92418—21no—
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#4112yes—
221C23×C61—21no—
222C23×C61—21no—
223C23×C61—21no—
224C23×C61—21no—
225C23×C61—21no—
226C23×C61—21no—
227C23×C61C22×C812yes—
228C23×C61C23×C411yescharacteristic
229C22×D61—21no—
230C22×D61—21no—
231C22×D61—21no—
232C22×D61—21no—
233C22×D61—21no—
234C22×D61—21no—
235C22×D61C22×C812yes—
236C2×C4×C61—21no—
237C2×C4×C61—21no—
238C2×C4×C61—21no—
239C2×C4×C61—21no—
240C2×C4×C61—21no—
241C2×C4×C61—21no—
242C2×C4×C61—21no—
243C2×C4×C61—21no—
244C2×C4×C61—21no—
245C2×C4×C61—21no—
246C2×C4×C61—21no—
247C2×C4×C61—21no—
248C2×C4×C61—41no—
249C2×C4×C61—41no—
250C2×C4×C61—41no—
251C2×C4×C61—41no—
252C2×C4×C61C22×C812yes—
253C2×C4×C61C22×C812yes—
254C2×C4×C61C2×M1612yes—
255C2×C4×C61C2×#4111yescharacteristic
256C2×C4×C61C2×#4111yescharacteristic
257C2×C4×C61C2×#4111yescharacteristic
258C2×C4×C61C2×#4111yescharacteristic
259C2×C4×C61H(5,𝔽2)11yescharacteristic
260C2×C4×C61H(5,𝔽2)11yescharacteristic
261C22⋊D61—28no—
262C2×Dic61—21no—
263C2×Dic61—21no—
264C2×Dic61—21no—
265C2×Dic61—21no—
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—44no—
276C2×Dic61—44no—
277C2×Dic61#11712yes—
278C2×Dic61#11712yes—
279C2×Dic61C22×C812yes—
280C2×Dic61C22×C812yes—
281C2×Dic61C22×C812yes—
282C2×Dic61C2×M1612yes—
283C2×Dic61C2×M1612yes—
284C2×Dic61#13112yes—
285C4×D61—44no—
286C4×D61—44no—
287C4×D61—41no—
288C4×D61—41no—
289C4×D61—41no—
290C4×D61—41no—
291C8×C61—22no—
292C8×C61—41no—
293C8×C61—41no—
294C8×C61—41no—
295#92418—22no—
296#92418—41no—
297#92418—41no—
298#92418—41no—
299#22835—611nomaximal, Sylow
300C22×C61—22no—
301C22×C61—22no—
302C22×C61—22no—
303C22×C61—41no—
304C22×C61—41no—
305C22×C61—41no—
306C22×C61—41no—
307C22×C61C2×#11711yescharacteristic
308C22×C61C4×#4111yescharacteristic
309C22×C61#51811yescharacteristic
310C22×C61C23×C811yescharacteristic
311C22×C61C22×M1611yescharacteristic
312C22×C61C2×#13111yescharacteristic
313C22×C61#56811yescharacteristic
314C2×D61—22no—
315C2×D61—22no—
316C2×D61—22no—
317C2×D61—41no—
318C2×D61—41no—
319C2×D61—41no—
320C2×D61—41no—
321C4×C61—22no—
322C4×C61—22no—
323C4×C61—22no—
324C4×C61—41no—
325C4×C61—41no—
326C4×C61#55311yescharacteristic
327C4×C61#55311yescharacteristic
328C4×C61#55911yescharacteristic
329C4×C61#55911yescharacteristic
330Dic61—22no—
331Dic61—22no—
332Dic61—22no—
333Dic61—22no—
334Dic61—22no—
335Dic61—41no—
336Dic61#43114yes—
337C42×D4—611no—
338#1954—611no—
339#1954—611no—
340#1923—611no—
341#1923—611no—
342#1923—611no—
343#1923D6111yescharacteristic, complemented
344#1831—611no—
345#1817—611no—
346#1817—611no—
347C8×C4⋊C4—611no—
348C8×C4⋊C4—611no—
349C4×C4⋊C8—611no—
350C4×C22⋊C8—611no—
351C4×C22⋊C8—611no—
352C2×C61—42no—
353C2×C61#235711yescharacteristic
354C2×C61C2×#43111yescharacteristic
355C2×C61#292511yescharacteristic
356C2×C61C8×#4111yescharacteristic
357C2×C61#297111yescharacteristic
358C2×C61#297211yescharacteristic
359C2×C61#297411yescharacteristic
360D61—42no—
361C2×C4×D4—611no—
362C2×C4×D4—611no—
363C2×C4×D4—611no—
364C22×C42—611no—
365C22×C42—611no—
366C2×C4⋊C8—611no—
367C2×C4⋊C8—611no—
368C2×C4⋊C8—611no—
369C2×C4⋊C8C2×D6111yescharacteristic
370C2×C22⋊C8—611no—
371C2×C22⋊C8—611no—
372C2×C22⋊C8—611no—
373C2×C22⋊C8—611no—
374C2×C22⋊C8—611no—
375C2×C22⋊C8—611no—
376C2×C22⋊C8C2×D6111yescharacteristic
377C2×C22⋊C8C2×D6111yescharacteristic
378C2×C4×C8—611no—
379C2×C4×C8—611no—
380C2×C4×C8—611no—
381C2×C4×C8—611no—
382C2×C4×C8—611no—
383C2×C4×C8C2×D6111yescharacteristic
384C4×C4⋊C4—611no—
385C4×C4⋊C4—611no—
386C4×C4⋊C4—611no—
387C4×C22⋊C4—611no—
388C4×C22⋊C4—611no—
389C4×C22⋊C4—611no—
390C4×C22⋊C4—611no—
391C4×C22⋊C4—611no—
392C4×C22⋊C4C2×D6111yescharacteristic
393C43—611no—
394#336—611no—
395#336—611no—
396#336—611no—
397#336—611no—
398#336—611no—
399#336—611no—
400#336—611no—
401#336—611no—
402#336C2×D6111yescharacteristic
403#336C2×D6111yescharacteristic
404C61#2283511yescharacteristic, complemented, Sylow
405C22×D4—611no—
406C23×C4—611no—
407C23×C4—611no—
408C23×C4—611no—
409C23×C4—611no—
410C23×C4—611no—
411C23×C4C22×D6111yescharacteristic
412C22×C8—611no—
413C22×C8—611no—
414C22×C8—611no—
415C22×C8—611no—
416C22×C8C22×D6111yescharacteristic
417C22×C8C22×D6111yescharacteristic
418C22×C8C22×D6111yescharacteristic
419C22×C8C22×D6111yescharacteristic
420C4×D4—618no—
421C4×D4—1222no—
422C4×D4—1222no—
423C4×D4—1224no—
424C2×C4⋊C4—611no—
425C2×C4⋊C4—611no—
426C2×C4⋊C4—611no—
427C2×C22⋊C4—611no—
428C2×C22⋊C4—611no—
429C2×C22⋊C4—611no—
430C2×C22⋊C4—611no—
431C2×C22⋊C4C4×D6111yescharacteristic
432C2×C22⋊C4C4×D6111yescharacteristic
433C2×C42—611no—
434C2×C42—611no—
435C2×C42—611no—
436C2×C42—611no—
437C2×C42—611no—
438C2×C42—611no—
439C2×C42—611no—
440C2×C42—611no—
441C2×C42—611no—
442C2×C42—611no—
443C2×C42—611no—
444C2×C42—2441no—
445C2×C42—2441no—
446C2×C42—2441no—
447C2×C42—2441no—
448C2×C42C22×D6111yescharacteristic
449C2×C42C22×D6111yescharacteristic
450C4⋊C8—22no—
451C4⋊C8—1222no—
452C4⋊C8—1222no—
453C4⋊C8—1222no—
454C22⋊C8—22no—
455C22⋊C8—41no—
456C22⋊C8—1222no—
457C22⋊C8—1222no—
458C22⋊C8—1222no—
459C22⋊C8—2441no—
460C22⋊C8—2441no—
461C22⋊C8—2441no—
462C4×C8—41no—
463C4×C8—1222no—
464C4×C8—1222no—
465C4×C8—2441no—
466C4×C8—2441no—
467C4×C8—2441no—
468#95—611no—
469#95—611no—
470#95—611no—
471#95—611no—
472#95C4×D6111yescharacteristic
473#95C4×D6111yescharacteristic
474C24—611no—
475C24C2×C4×D6111yescharacteristic
476C2×D4—614no—
477C2×D4—1222no—
478C2×D4—1222no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—611no—
486C22×C4—611no—
487C22×C4—611no—
488C22×C4—611no—
489C22×C4—611no—
490C22×C4—611no—
491C22×C4—614no—
492C22×C4—614no—
493C22×C4—611no—
494C22×C4—1222no—
495C22×C4—1222no—
496C22×C4—1222no—
497C22×C4—1221no—
498C22×C4—1221no—
499C22×C4—1221no—
500C22×C4—1221no—
501C22×C4—1221no—
502C22×C4—1221no—
503C22×C4—1222no—
504C22×C4—2441no—
505C22×C4—2441no—
506C22×C4—2441no—
507C22×C4—2441no—
508C22×C4—2441no—
509C22×C4—2441no—
510C22×C4C2×C4×D6111yescharacteristic
511C22×C4C2×C4×D6111yescharacteristic
512C22×C4C2×C4×D6111yescharacteristic
513C22×C4C2×C4×D6111yescharacteristic
514C22×C4C2×C4×D6111yescharacteristic
515C22×C4C23×D6111yescharacteristic
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—612no—
528C2×C8—1221no—
529C2×C8—1221no—
530C2×C8—1221no—
531C2×C8—1221no—
532C2×C8—1221no—
533C2×C8—1221no—
534C2×C8—1221no—
535C2×C8—1221no—
536C2×C8—1221no—
537C2×C8—1221no—
538C2×C8—1221no—
539C2×C8#1175822412yes—
540C4⋊C4—614no—
541C4⋊C4—614no—
542C4⋊C4—1222no—
543C22⋊C4—22no—
544C22⋊C4—614no—
545C22⋊C4—1222no—
546C22⋊C4—1222no—
547C22⋊C4—1222no—
548C22⋊C4C8×D6114yes—
549C42—21no—
550C42—21no—
551C42—21no—
552C42—21no—
553C42—612no—
554C42—612no—
555C42—614no—
556C42—1222no—
557C42—1222no—
558C42—1221no—
559C42—1221no—
560C42—1221no—
561C42—1221no—
562C42—2441no—
563C42—2441no—
564C42—2441no—
565C42—2441no—
566C42—2441no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—612no—
574C23—1221no—
575C23—1221no—
576C23—1221no—
577C23—1221no—
578C23—1221no—
579C23—1221no—
580C23C2×C8×D6112yes—
581C23C22×C4×D6111yescharacteristic
582D4—1228no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—612no—
600C2×C4—612no—
601C2×C4—612no—
602C2×C4—612no—
603C2×C4—612no—
604C2×C4—612no—
605C2×C4—612no—
606C2×C4—612no—
607C2×C4—1221no—
608C2×C4—1221no—
609C2×C4—1221no—
610C2×C4—1221no—
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—1221no—
620C2×C4—2444no—
621C2×C4—2444no—
622C2×C4—2444no—
623C2×C4—2444no—
624C2×C4—2441no—
625C2×C4—2441no—
626C2×C4—2441no—
627C2×C4—2441no—
628C2×C4C2×C8×D6112yes—
629C2×C4C2×C8×D6112yes—
630C2×C4M16×D6112yes—
631C2×C4#41×D6111yescharacteristic
632C2×C4#41×D6111yescharacteristic
633C2×C4#41×D6111yescharacteristic
634C2×C4C2×#1175822411yescharacteristic
635C2×C4#1451982211yescharacteristic
636C2×C4#1451982311yescharacteristic
637C8—22no—
638C8—41no—
639C8—41no—
640C8—41no—
641C8—1222no—
642C8—2441no—
643C8—2441no—
644C8—2441no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—41no—
649C22—41no—
650C22—41no—
651C22—41no—
652C22—1222no—
653C22—1222no—
654C22—1222no—
655C22—2441no—
656C22—2441no—
657C22—2441no—
658C22—2441no—
659C22#117×D6111yescharacteristic
660C22C4×#1175822411yescharacteristic
661C22#1684023411yescharacteristic
662C22C22×C8×D6111yescharacteristic
663C22C2×M16×D6111yescharacteristic
664C22#131×D6111yescharacteristic
665C22#1684052711yescharacteristic
666C4—22no—
667C4—22no—
668C4—22no—
669C4—41no—
670C4—41no—
671C4—614no—
672C4—1222no—
673C4—1222no—
674C4—1222no—
675C4—1222no—
676C4—1222no—
677C4—2441no—
678C4#1684045511yescharacteristic
679C4#1684046311yescharacteristic
680C4#1684049411yescharacteristic
681C4#1684049611yescharacteristic
682C2—42no—
683C2—2442no—
684C2#2144878911yescharacteristic
685C2#431×D6111yescharacteristic
686C2#2145448211yescharacteristic
687C2C8×#1175822411yescharacteristic
688C2#2145483511yescharacteristic
689C2#2145484011yescharacteristic
690C2#2145484911yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D61
commutatorC22×C61C23×C8
FittingC61×#1923C2
socleC23×C61C23×C4
prime radicalC22×C22⋊D61C2×C4
cosocleC22×C4×C61C24
hypercenter#1923D61
hypocenterC61#22835
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C22×C4 ◁ #1923

Complements

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

NH ≅ G/Ntype
4. #21446427C2semidirect
5. #21446426C2semidirect
6. #21446424C2semidirect
7. #21445934C2semidirect
8. #21445886C2semidirect
9. #21445885C2semidirect
10. C8×#11758196C2semidirect
11. #21445680C2semidirect
12. C4⋊C8×Dic61C2semidirect
13. C22⋊C8×Dic61C2semidirect
14. C4×#14519689C2semidirect
15. C61×#1923C2semidirect
72. #14519737C8semidirect
343. #1923D61semidirect
404. C61#22835semidirect

Maximal subgroups

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

subgroupindex
C4×#145197372
#214466112
#214464272
#214464262
#214464242
#214459342
#214458862
#214458852
C8×#117581962
#214456802
C4⋊C8×Dic612
C22⋊C8×Dic612
C4×#145196892
C61×#19232
#2283561