Finite Group Databasebeta

← #29690655

Subgroups — #29690655

Order 15616.

930 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
1C4×D4×Dic61C211yesmaximal, characteristic
2#21446428C211yesmaximal, characteristic, complemented
3#21446422C211yesmaximal, characteristic, complemented
4#21446377C211yesmaximal, characteristic, complemented
5#21446375C211yesmaximal, characteristic, complemented
6#21446112C211yesmaximal, characteristic
7#21445997C211yesmaximal, characteristic, complemented
8#21445996C211yesmaximal, characteristic, complemented
9#21445961C211yesmaximal, characteristic, complemented
10#21445934C211yesmaximal, characteristic, complemented
11#21445885C211yesmaximal, characteristic, complemented
12#21445797C211yesmaximal, characteristic, complemented
13C22⋊C8×Dic61C211yesmaximal, characteristic, complemented
14C2×#16839516C211yesmaximal, characteristic, complemented
15C61×#1869C211yesmaximal, characteristic
16C23×#92418C2211yescharacteristic
17C2×D4×Dic61C411yescharacteristic
18C2×D4×Dic61C411yescharacteristic
19C22×C4×Dic61C2211yescharacteristic
20C22×C4×Dic61C2211yescharacteristic
21C2×#14519706C2211yescharacteristic
22C2×#14519706C2211yescharacteristic
23C2×#14519706C2211yescharacteristic
24C2×#14519706C2211yescharacteristic
25C2×C22⋊#92418C2211yescharacteristic
26C2×C22⋊#92418C2211yescharacteristic
27C2×C22⋊#92418C2211yescharacteristic
28C2×C8×Dic61C2211yescharacteristic
29C2×C8×Dic61C2211yescharacteristic
30C4⋊C4×Dic61C411yescharacteristic
31C4⋊C4×Dic61C411yescharacteristic
32C4×C4⋊Dic61C2211yescharacteristic
33C22⋊C4×Dic61C411yescharacteristic
34C22⋊C4×Dic61C411yescharacteristic
35C22⋊C4×Dic61C411yescharacteristic
36C22⋊C4×Dic61C411yescharacteristic
37C4×C22⋊Dic61C2211yescharacteristic
38C4×C22⋊Dic61C2211yescharacteristic
39C42×Dic61C2211yescharacteristic
40#16839517C2211yescharacteristic
41#16839517C2211yescharacteristic
42#16839516C2211yescharacteristic
43#16839516C2211yescharacteristic
44#16839516C2211yescharacteristic
45#16839516C2211yescharacteristic
46#16839516C2211yescharacteristic
47#16839516C2211yescharacteristic
48#16839516C2211yescharacteristic
49#16839516C2211yescharacteristic
50#16839516C2211yescharacteristic
51#16839516C2211yescharacteristic
52C23×C8×C61C2211yescharacteristic
53C2×C4×D4×C61C2211yescharacteristic
54C2×C22⋊C8×C61C2211yescharacteristic
55C2×C22⋊C8×C61C2211yescharacteristic
56C2×C22⋊C8×C61C2211yescharacteristic
57C61×#336C2211yescharacteristic
58C61×#336C2211yescharacteristic
59C23×Dic61C2×C411yescharacteristic
60C23×Dic61C2×C411yescharacteristic
61C23×Dic61C2×C411yescharacteristic
62C23×Dic61C2×C411yescharacteristic
63C22×#92418—22no—
64C22×#92418—41no—
65C22×#92418—41no—
66C22×#92418C2311yescharacteristic
67C22×#92418C2311yescharacteristic
68C22×#92418C2311yescharacteristic
69C22×#92418C2311yescharacteristic
70D4×Dic61—24no—
71D4×Dic61C818yescomplemented
72C2×C4⋊Dic61C2×C411yescharacteristic
73C2×C4⋊Dic61C2×C411yescharacteristic
74C2×C22⋊Dic61C2×C411yescharacteristic
75C2×C22⋊Dic61C2×C411yescharacteristic
76C2×C22⋊Dic61C2×C411yescharacteristic
77C2×C22⋊Dic61C2×C411yescharacteristic
78C2×C4×Dic61—41no—
79C2×C4×Dic61—41no—
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
93C2×C4×Dic61C2311yescharacteristic
94#14519706—41no—
95#14519706—41no—
96#14519706—41no—
97#14519706—41no—
98C22⋊#92418—22no—
99C22⋊#92418—41no—
100C22⋊#92418—41no—
101C8×Dic61—41no—
102C8×Dic61—41no—
103#14519684C2×C411yescharacteristic
104#14519684C2×C411yescharacteristic
105#14519684C2×C411yescharacteristic
106#14519684C2×C411yescharacteristic
107#14519684C2×C411yescharacteristic
108#14519684C2×C411yescharacteristic
109C22×D4×C61C2×C411yescharacteristic
110C23×C4×C61C2311yescharacteristic
111C23×C4×C61C2311yescharacteristic
112C22×C8×C61—22no—
113C22×C8×C61—41no—
114C22×C8×C61—41no—
115C22×C8×C61C2311yescharacteristic
116C22×C8×C61C2311yescharacteristic
117C22×C8×C61C2311yescharacteristic
118C22×C8×C61C2311yescharacteristic
119C4×D4×C61—22no—
120C4×D4×C61—22no—
121C2×C4⋊C4×C61C2×C411yescharacteristic
122C2×C22⋊C4×C61C2×C411yescharacteristic
123C2×C22⋊C4×C61C2×C411yescharacteristic
124C2×C42×C61C2311yescharacteristic
125C22⋊C8×C61—22no—
126C22⋊C8×C61—41no—
127C22⋊C8×C61—41no—
128C24×C61C22×C411yescharacteristic
129C24×C61C22×C411yescharacteristic
130C2×D4×C61—22no—
131C2×D4×C61—22no—
132C2×D4×C61C2×C814yes—
133C22×C4×C61—21no—
134C22×C4×C61—21no—
135C22×C4×C61—21no—
136C22×C4×C61—21no—
137C22×C4×C61—21no—
138C22×C4×C61—21no—
139C22×C4×C61—21no—
140C22×C4×C61—21no—
141C22×C4×C61—21no—
142C22×C4×C61—21no—
143C22×C4×C61C22×C411yescharacteristic
144C22×C4×C61C22×C411yescharacteristic
145C22×C4×C61C22×C411yescharacteristic
146C22×C4×C61C22×C411yescharacteristic
147C22×C4×C61#4112yes—
148C22×C4×C61#4112yes—
149C22×C4×C61C2411yescharacteristic
150C22×Dic61—22no—
151C22×Dic61—41no—
152C22×Dic61—41no—
153C22×Dic61—41no—
154C22×Dic61—41no—
155C22×Dic61—41no—
156C22×Dic61—41no—
157C22×Dic61—41no—
158C22×Dic61—41no—
159C22×Dic61C2×C814yes—
160C22×Dic61C2×C814yescomplemented
161C22×Dic61M1614yes—
162C22×Dic61C22×C411yescharacteristic
163C22×Dic61C22×C411yescharacteristic
164C22×Dic61C22×C411yescharacteristic
165C22×Dic61C22×C411yescharacteristic
166C22×Dic61C22×C411yescharacteristic
167C22×Dic61C22×C411yescharacteristic
168C22×Dic61C22×C411yescharacteristic
169C22×Dic61C22×C411yescharacteristic
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—21no—
182C2×C8×C61—44no—
183C4⋊C4×C61—22no—
184C22⋊C4×C61—22no—
185C22⋊C4×C61—22no—
186C42×C61—21no—
187C42×C61—21no—
188C22⋊Dic61—22no—
189C22⋊Dic61—22no—
190C22⋊Dic61C2×C814yes—
191C22⋊Dic61C2×C814yescomplemented
192C4⋊Dic61—22no—
193C4⋊Dic61C2×C814yescomplemented
194C4×Dic61—21no—
195C4×Dic61—21no—
196C4×Dic61—21no—
197C4×Dic61—21no—
198C4×Dic61—21no—
199C4×Dic61—21no—
200C4×Dic61—21no—
201C4×Dic61—21no—
202C4×Dic61—22no—
203C4×Dic61—41no—
204C4×Dic61—41no—
205C4×Dic61—41no—
206C4×Dic61—41no—
207C4×Dic61—41no—
208C4×Dic61—41no—
209C4×Dic61C2×C814yescomplemented
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—21no—
221C2×#92418—21no—
222C2×#92418—44no—
223C23×C61—21no—
224C23×C61—21no—
225C23×C61—21no—
226C23×C61—21no—
227C23×C61—21no—
228C23×C61—21no—
229C23×C61—21no—
230C23×C61—21no—
231C23×C61—21no—
232C23×C61—21no—
233C23×C61#11712yes—
234C23×C61C22×C812yes—
235C23×C61C22×C812yes—
236C23×C61C2×M1612yes—
237C23×C61C23×C411yescharacteristic
238D4×C61—28no—
239C2×C4×C61—21no—
240C2×C4×C61—21no—
241C2×C4×C61—21no—
242C2×C4×C61—21no—
243C2×C4×C61—22no—
244C2×C4×C61—22no—
245C2×C4×C61—22no—
246C2×C4×C61—22no—
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—41no—
254C2×C4×C61—41no—
255C2×C4×C61—41no—
256C2×C4×C61—41no—
257C2×C4×C61#11712yes—
258C2×C4×C61C22×C812yes—
259C2×C4×C61C2×#4111yescharacteristic
260C2×C4×C61C2×#4111yescharacteristic
261C2×C4×C61H(5,𝔽2)11yescharacteristic
262C2×C4×C61H(5,𝔽2)11yescharacteristic
263C2×C4×C61H(5,𝔽2)11yescharacteristic
264C2×C4×C612−1+411yescharacteristic
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—21no—
276C2×Dic61—21no—
277C2×Dic61—21no—
278C2×Dic61—21no—
279C2×Dic61—21no—
280C2×Dic61—21no—
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61—44no—
284C2×Dic61—44no—
285C2×Dic61—44no—
286C2×Dic61—44no—
287C2×Dic61C22×C812yes—
288C2×Dic61C22×C812yes—
289C2×Dic61C22×C812yes—
290C2×Dic61C22×C812yes—
291C2×Dic61C2×M1612yes—
292C2×Dic61C2×M1612yes—
293C8×C61—41no—
294C8×C61—41no—
295C8×C61—41no—
296C8×C61—41no—
297#92418—41no—
298#92418—41no—
299#92418—41no—
300#92418—41no—
301#21996—611nomaximal, Sylow
302C22×C61—22no—
303C22×C61—22no—
304C22×C61—22no—
305C22×C61—22no—
306C22×C61—22no—
307C22×C61—22no—
308C22×C61—22no—
309C22×C61—22no—
310C22×C61—22no—
311C22×C61—41no—
312C22×C61—41no—
313C22×C61—41no—
314C22×C61—41no—
315C22×C61#43114yes—
316C22×C61C2×#11711yescharacteristic
317C22×C61#51811yescharacteristic
318C22×C61#52011yescharacteristic
319C22×C61C23×C811yescharacteristic
320C22×C61C22×M1611yescharacteristic
321C22×C61#56811yescharacteristic
322C22×C61#56811yescharacteristic
323C4×C61—22no—
324C4×C61—22no—
325C4×C61—41no—
326C4×C61—41no—
327C4×C61#53811yescharacteristic
328C4×C61#53811yescharacteristic
329C4×C61#53911yescharacteristic
330C4×C61#53911yescharacteristic
331Dic61—22no—
332Dic61—22no—
333Dic61—22no—
334Dic61—22no—
335Dic61—22no—
336Dic61—22no—
337Dic61—41no—
338Dic61—41no—
339C42×D4—611no—
340#1923—611no—
341#1923—611no—
342#1916—611no—
343#1916—611no—
344#1869—611no—
345#1869D6111yescharacteristic
346#1850—611no—
347#1850—611no—
348#1839—611no—
349#1831—611no—
350#1817—611no—
351#1797—611no—
352C4×C22⋊C8—611no—
353C2×#336—611no—
354C2×C61—24no—
355C2×C61—42no—
356C2×C61#231811yescharacteristic
357C2×C61C2×#43111yescharacteristic
358C2×C61#292311yescharacteristic
359C2×C61#297211yescharacteristic
360C2×C61#297311yescharacteristic
361C2×C61#298811yescharacteristic
362C2×C61#298911yescharacteristic
363C23×C8—611no—
364C23×C8C2×D6111yescharacteristic
365C2×C4×D4—611no—
366C2×C4×D4—611no—
367C2×C4×D4C2×D6111yescharacteristic
368C22×C42—611no—
369C22×C42—611no—
370C2×C4⋊C8—611no—
371C2×C4⋊C8—611no—
372C2×C4⋊C8—611no—
373C2×C4⋊C8—611no—
374C2×C22⋊C8—611no—
375C2×C22⋊C8—611no—
376C2×C22⋊C8—611no—
377C2×C22⋊C8C2×D6111yescharacteristic
378C2×C22⋊C8C2×D6111yescharacteristic
379C2×C22⋊C8C2×D6111yescharacteristic
380C2×C4×C8—611no—
381C2×C4×C8—611no—
382C4×C4⋊C4—611no—
383C4×C4⋊C4—611no—
384C4×C4⋊C4—611no—
385C4×C22⋊C4—611no—
386C4×C22⋊C4—611no—
387C4×C22⋊C4—611no—
388C4×C22⋊C4—611no—
389C4×C22⋊C4—611no—
390C4×C22⋊C4—611no—
391C43—611no—
392#336—611no—
393#336—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#336—611no—
403#336—611no—
404#336C2×D6111yescharacteristic
405#336C2×D6111yescharacteristic
406C61#2199611yescharacteristic, complemented, Sylow
407C22×D4C4×D6111yescharacteristic
408C23×C4—611no—
409C23×C4—611no—
410C23×C4—611no—
411C23×C4—611no—
412C23×C4C22×D6111yescharacteristic
413C23×C4C22×D6111yescharacteristic
414C22×C8—22no—
415C22×C8—41no—
416C22×C8—41no—
417C22×C8—611no—
418C22×C8—611no—
419C22×C8—611no—
420C22×C8—611no—
421C22×C8—1222no—
422C22×C8—2441no—
423C22×C8—2441no—
424C22×C8C22×D6111yescharacteristic
425C22×C8C22×D6111yescharacteristic
426C22×C8C22×D6111yescharacteristic
427C22×C8C22×D6111yescharacteristic
428C4×D4—22no—
429C4×D4—22no—
430C4×D4—618no—
431C4×D4—1224no—
432C2×C4⋊C4—611no—
433C2×C4⋊C4—611no—
434C2×C4⋊C4C4×D6111yescharacteristic
435C2×C22⋊C4—611no—
436C2×C22⋊C4—611no—
437C2×C22⋊C4—611no—
438C2×C22⋊C4—611no—
439C2×C22⋊C4C4×D6111yescharacteristic
440C2×C22⋊C4C4×D6111yescharacteristic
441C2×C42—611no—
442C2×C42—611no—
443C2×C42—611no—
444C2×C42—611no—
445C2×C42—611no—
446C2×C42—611no—
447C2×C42—611no—
448C2×C42—611no—
449C2×C42—611no—
450C2×C42—611no—
451C2×C42—611no—
452C2×C42—611no—
453C2×C42—2441no—
454C2×C42—2441no—
455C2×C42—2441no—
456C2×C42—2441no—
457C2×C42C22×D6111yescharacteristic
458C4⋊C8—2441no—
459C4⋊C8—2441no—
460C4⋊C8—2441no—
461C4⋊C8—2441no—
462C22⋊C8—22no—
463C22⋊C8—41no—
464C22⋊C8—41no—
465C22⋊C8—1222no—
466C22⋊C8—2441no—
467C22⋊C8—2441no—
468C4×C8—2441no—
469C4×C8—2441no—
470#95—611no—
471#95—611no—
472#95—611no—
473#95—611no—
474#95—611no—
475#95—611no—
476C24C2×C4×D6111yescharacteristic
477C24C2×C4×D6111yescharacteristic
478C2×D4—22no—
479C2×D4—22no—
480C2×D4C8×D6114yes—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—611no—
492C22×C4—611no—
493C22×C4—611no—
494C22×C4—611no—
495C22×C4—611no—
496C22×C4—611no—
497C22×C4—614no—
498C22×C4—614no—
499C22×C4—614no—
500C22×C4—611no—
501C22×C4—611no—
502C22×C4—1222no—
503C22×C4—2441no—
504C22×C4—2441no—
505C22×C4—2441no—
506C22×C4—2441no—
507C22×C4—2441no—
508C22×C4—2441no—
509C22×C4—2441no—
510C22×C4—2441no—
511C22×C4C2×C4×D6111yescharacteristic
512C22×C4C2×C4×D6111yescharacteristic
513C22×C4C2×C4×D6111yescharacteristic
514C22×C4C2×C4×D6111yescharacteristic
515C22×C4#1175822412yes—
516C22×C4#1175822412yes—
517C22×C4C23×D6111yescharacteristic
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—21no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—44no—
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—1221no—
540C2×C8—1221no—
541C2×C8—1221no—
542C2×C8—1221no—
543C2×C8—2444no—
544C4⋊C4—22no—
545C4⋊C4—614no—
546C4⋊C4—1222no—
547C22⋊C4—22no—
548C22⋊C4—22no—
549C22⋊C4—614no—
550C22⋊C4—614no—
551C22⋊C4—1222no—
552C22⋊C4—1222no—
553C42—21no—
554C42—21no—
555C42—614no—
556C42—1222no—
557C42—1221no—
558C42—1221no—
559C42—1221no—
560C42—1221no—
561C42—1221no—
562C42—1221no—
563C42—1221no—
564C42—1221no—
565C42—2441no—
566C42—2441no—
567C42—2441no—
568C42—2441no—
569C42—2441no—
570C42—2441no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—21no—
579C23—21no—
580C23—21no—
581C23#1451973312yes—
582C23C2×C8×D6112yes—
583C23C2×C8×D6112yes—
584C23M16×D6112yes—
585C23C22×C4×D6111yescharacteristic
586D4—28no—
587C2×C4—21no—
588C2×C4—21no—
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—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—612no—
606C2×C4—612no—
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—1221no—
620C2×C4—1221no—
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—2444no—
630C2×C4—2444no—
631C2×C4—2444no—
632C2×C4—2444no—
633C2×C4#1451973312yes—
634C2×C4C2×C8×D6112yes—
635C2×C4C2×#1175822411yescharacteristic
636C2×C4C2×#1175822411yescharacteristic
637C2×C4#1451982211yescharacteristic
638C2×C4#1451982211yescharacteristic
639C2×C4#1451982311yescharacteristic
640C2×C4#1451982411yescharacteristic
641C8—41no—
642C8—41no—
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—22no—
656C22—22no—
657C22—22no—
658C22—41no—
659C22—41no—
660C22—41no—
661C22—41no—
662C22#1683981214yes—
663C22C2×#1451973311yescharacteristic
664C22#1684023411yescharacteristic
665C22#1684024111yescharacteristic
666C22C22×C8×D6111yescharacteristic
667C22C2×M16×D6111yescharacteristic
668C22#1684052711yescharacteristic
669C22#1684052711yescharacteristic
670C4—22no—
671C4—22no—
672C4—41no—
673C4—41no—
674C4—1222no—
675C4—1222no—
676C4—1222no—
677C4—1222no—
678C4—1222no—
679C4—1222no—
680C4—2441no—
681C4—2441no—
682C4#1684034711yescharacteristic
683C4#1684034911yescharacteristic
684C4#1684035611yescharacteristic
685C4#1684035711yescharacteristic
686C2—24no—
687C2—42no—
688C2#2144844511yescharacteristic
689C2C2×#1683981211yescharacteristic
690C2#2145446611yescharacteristic
691C2#2145484011yescharacteristic
692C2#2145484411yescharacteristic
693C2#2145492611yescharacteristic
694C2#2145493111yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D61
commutatorC22×C61C23×C8
FittingC61×#1869C2
socleC23×C61C23×C4
prime radicalC22×D4×C61C2×C4
cosocleC22×C4×C61C24
hypercenter#1869D61
hypocenterC61#21996
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C22×C4 ◁ #1869

Complements

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

NH ≅ G/Ntype
2. #21446428C2semidirect
3. #21446422C2semidirect
4. #21446377C2semidirect
5. #21446375C2semidirect
7. #21445997C2semidirect
8. #21445996C2semidirect
9. #21445961C2semidirect
10. #21445934C2semidirect
11. #21445885C2semidirect
12. #21445797C2semidirect
13. C22⋊C8×Dic61C2semidirect
14. C2×#16839516C2semidirect
71. D4×Dic61C8semidirect
160. C22×Dic61C2×C8semidirect
191. C22⋊Dic61C2×C8semidirect
193. C4⋊Dic61C2×C8semidirect
209. C4×Dic61C2×C8semidirect
406. C61#21996semidirect

Maximal subgroups

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

subgroupindex
C4×D4×Dic612
#214464282
#214464222
#214463772
#214463752
#214461122
#214459972
#214459962
#214459612
#214459342
#214458852
#214457972
C22⋊C8×Dic612
C2×#168395162
C61×#18692
#2199661