Finite Group Databasebeta

← #30615885

Subgroups — #30615885

Order 15616.

1330 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840765C211yesmaximal, characteristic, complemented
2C2×#16840732C211yesmaximal, characteristic
3C2×#16840732C211yesmaximal, characteristic
4C2×C4×#11758217C211yesmaximal, characteristic, complemented
5#21461893C212yesmaximal, complemented
6#21461892C212yesmaximal, complemented
7#21461889C212yesmaximal, complemented
8#21461888C212yesmaximal, complemented
9#21461482C211yesmaximal, characteristic, complemented
10#21461482C211yesmaximal, characteristic, complemented
11C2×C22⋊C4×Dic61C211yesmaximal, characteristic
12C22×#11758217C2211yescharacteristic
13C22×#11758217C2211yescharacteristic
14C22×#11758217C2211yescharacteristic
15C22×#11758217C2211yescharacteristic
16#16840765—24no—
17C2×#14519844C2212yescomplemented
18C2×C4⋊#92420C2212yescomplemented
19#16840732—24no—
20#16840732—24no—
21C2×C22⋊#92420C2212yes—
22C2×C22⋊#92420C2212yes—
23C2×C22⋊#92420C2212yes—
24C2×C22⋊#92420C2212yes—
25C4×#11758217—24no—
26C2×#14519832C2212yescomplemented
27C2×C4×#92420C2212yescomplemented
28#16840628C2212yescomplemented
29#16840628C2212yescomplemented
30#16840628C2212yescomplemented
31#16840628C2212yescomplemented
32C24×Dic61C2211yescharacteristic
33C22×C22⋊Dic61C411yescharacteristic
34C22×C4×Dic61C2211yescharacteristic
35C22×C4×Dic61C2211yescharacteristic
36C22⋊C4×Dic61C411yescharacteristic
37C22⋊C4×Dic61C411yescharacteristic
38C22⋊C4×Dic61C411yescharacteristic
39C22⋊C4×Dic61C411yescharacteristic
40C22⋊C4×Dic61C2211yescharacteristic
41C22⋊C4×Dic61C2211yescharacteristic
42C22⋊C4×Dic61C2211yescharacteristic
43C22⋊C4×Dic61C2211yescharacteristic
44C2×#14519684C411yescharacteristic
45C2×#14519684C411yescharacteristic
46C22×C22⋊C4×C61C411yescharacteristic
47C2×#11758217—22no—
48C2×#11758217—22no—
49C2×#11758217—22no—
50C2×#11758217—22no—
51C2×#11758217—22no—
52C2×#11758217—22no—
53C2×#11758217—22no—
54C2×#11758217—22no—
55C2×#11758217—22no—
56C2×#11758217—22no—
57C2×#11758217D414yes—
58C2×#11758217D414yes—
59C22×#92420C2312yes—
60C22×#92420C2312yes—
61C22×#92420C2312yes—
62C22×#92420C2312yes—
63#14519844—24no—
64C4⋊#92420—24no—
65C22⋊#92420—24no—
66C22⋊#92420—24no—
67C22⋊#92420—24no—
68C22⋊#92420—24no—
69#14519832—24no—
70C4×#92420—24no—
71C23×Dic61—22no—
72C23×Dic61—22no—
73C23×Dic61—22no—
74C23×Dic61—22no—
75C23×Dic61—22no—
76C23×Dic61—22no—
77C23×Dic61C2×C411yescharacteristic
78C23×Dic61C2×C411yescharacteristic
79C23×Dic61C2×C411yescharacteristic
80C23×Dic61C2×C411yescharacteristic
81C23×Dic61C2×C411yescharacteristic
82C23×Dic61C2311yescharacteristic
83C23×Dic61C2311yescharacteristic
84C23×Dic61C2311yescharacteristic
85C2×C22⋊Dic61—24no—
86C2×C22⋊Dic61C2×C411yescharacteristic
87C2×C22⋊Dic61C2×C411yescharacteristic
88C2×C22⋊Dic61C2×C411yescharacteristic
89C2×C22⋊Dic61C2×C411yescharacteristic
90C2×C4×Dic61—22no—
91C2×C4×Dic61—22no—
92C2×C4×Dic61—22no—
93C2×C4×Dic61—22no—
94C2×C4×Dic61C2×C411yescharacteristic
95C2×C4×Dic61C2×C411yescharacteristic
96C2×C4×Dic61C2×C411yescharacteristic
97C2×C4×Dic61C2×C411yescharacteristic
98C2×C4×Dic61C2311yescharacteristic
99C2×C4×Dic61C2311yescharacteristic
100C2×C4×Dic61C2311yescharacteristic
101C2×C4×Dic61C2311yescharacteristic
102#14519684C2×C411yescharacteristic
103#14519684C2×C411yescharacteristic
104#14519684C2×C411yescharacteristic
105#14519684C2×C411yescharacteristic
106#14519684C2×C411yescharacteristic
107#14519684C2×C411yescharacteristic
108#14519684C2×C411yescharacteristic
109#14519684C2×C411yescharacteristic
110C25×C61C2×C411yescharacteristic
111C23×C4×C61C2×C411yescharacteristic
112C23×C4×C61C2×C411yescharacteristic
113C2×C22⋊C4×C61—24no—
114C2×C22⋊C4×C61C2×C411yescharacteristic
115C2×C22⋊C4×C61C2×C411yescharacteristic
116C2×C22⋊C4×C61C2×C411yescharacteristic
117C2×C22⋊C4×C61C2×C411yescharacteristic
118C24×C61—22no—
119C24×C61—22no—
120C24×C61—22no—
121C24×C61—22no—
122C24×C61—22no—
123C24×C61—41no—
124C24×C61—41no—
125C24×C61C22×C411yescharacteristic
126C24×C61C22×C411yescharacteristic
127C24×C61C22×C411yescharacteristic
128C22×C4×C61—22no—
129C22×C4×C61—22no—
130C22×C4×C61—22no—
131C22×C4×C61—22no—
132C22×C4×C61—41no—
133C22×C4×C61—41no—
134C22×C4×C61C22×C411yescharacteristic
135C22×C4×C61C22×C411yescharacteristic
136C22×C4×C61C22×C411yescharacteristic
137C22×C4×C61C22×C411yescharacteristic
138C22×Dic61—22no—
139C22×Dic61—22no—
140C22×Dic61—22no—
141C22×Dic61—22no—
142C22×Dic61—22no—
143C22×Dic61—22no—
144C22×Dic61—22no—
145C22×Dic61—22no—
146C22×Dic61—22no—
147C22×Dic61—22no—
148C22×Dic61—22no—
149C22×Dic61—22no—
150C22×Dic61—22no—
151C22×Dic61—21no—
152C22×Dic61—21no—
153C22×Dic61—21no—
154C22×Dic61—21no—
155C22×Dic61—21no—
156C22×Dic61—21no—
157C22×Dic61—21no—
158C22×Dic61—21no—
159C22×Dic61—21no—
160C22×Dic61—21no—
161C22×Dic61—21no—
162C22×Dic61—21no—
163C22×Dic61—41no—
164C22×Dic61—41no—
165C22×Dic61—44no—
166C22×Dic61—44no—
167C22×Dic61—44no—
168C22×Dic61—44no—
169C22×Dic61C22×C411yescharacteristic
170C22×Dic61C22×C411yescharacteristic
171C22×Dic61C22×C411yescharacteristic
172C22×Dic61C22×C411yescharacteristic
173C22×Dic61C22×C411yescharacteristic
174C22×Dic61C22×C411yescharacteristic
175C22×Dic61C22×C411yescharacteristic
176C22×Dic61C2×D412yes—
177C22×Dic61C2×D412yes—
178C22×Dic61#4112yes—
179C22×Dic61#4112yes—
180C22×Dic61#4112yes—
181C22×Dic61#4112yes—
182C22×Dic61C2411yescharacteristic
183#11758217—28no—
184#11758217—28no—
185#11758217—44no—
186#11758217—44no—
187C2×#92420—22no—
188C2×#92420—22no—
189C2×#92420—22no—
190C2×#92420—22no—
191C2×#92420—22no—
192C2×#92420—22no—
193C2×#92420—22no—
194C2×#92420—22no—
195C2×#92420—22no—
196C2×#92420—22no—
197C2×#92420C2×D414yes—
198C2×#92420C2×D414yes—
199C22⋊C4×C61—22no—
200C22⋊C4×C61—22no—
201C22⋊C4×C61—22no—
202C22⋊C4×C61M1614yescomplemented
203C22⋊Dic61—22no—
204C22⋊Dic61—22no—
205C22⋊Dic61—22no—
206C22⋊Dic61M1614yescomplemented
207C4×Dic61—22no—
208C4×Dic61—22no—
209C4×Dic61—22no—
210C4×Dic61—22no—
211C4×Dic61—21no—
212C4×Dic61—21no—
213C4×Dic61—21no—
214C4×Dic61—21no—
215C4×Dic61—21no—
216C4×Dic61—21no—
217C4×Dic61—21no—
218C4×Dic61—21no—
219C23×C61—21no—
220C23×C61—21no—
221C23×C61—21no—
222C23×C61—21no—
223C23×C61—28no—
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—21no—
234C23×C61—21no—
235C23×C61—21no—
236C23×C61—44no—
237C23×C61—44no—
238C23×C61—44no—
239C23×C61—44no—
240C23×C61—44no—
241C23×C61—44no—
242C23×C61#11712yes—
243C23×C61C4×D412yes—
244C23×C61C4×D412yes—
245C23×C61C2×M1612yes—
246C23×C61C2×M1612yes—
247C23×C61C23×C411yescharacteristic
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×C61—44no—
259C2×C4×C61—44no—
260C2×C4×C61C2×M1612yes—
261C2×C4×C61C2×M1612yes—
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—21no—
276C2×Dic61—21no—
277C2×Dic61—21no—
278C2×Dic61—44no—
279C2×Dic61—44no—
280C2×Dic61—44no—
281C2×Dic61—41no—
282C2×Dic61—41no—
283C2×Dic61—41no—
284C2×Dic61—41no—
285C2×Dic61—41no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—44no—
290C2×Dic61—44no—
291C2×Dic61#11712yes—
292C2×Dic61C4×D412yes—
293C2×Dic61C4×D412yes—
294C2×Dic61#12114yes—
295C2×Dic61#12314yes—
296C2×Dic61#12414yes—
297C2×Dic61#12614yes—
298C2×Dic61C2×M1612yes—
299C2×Dic61C2×M1612yes—
300C2×Dic61C22×D411yescharacteristic
301C2×Dic61C22×D411yescharacteristic
302C2×Dic61C2×#4111yescharacteristic
303C2×Dic61C2×#4111yescharacteristic
304C2×Dic61C2×#4111yescharacteristic
305C2×Dic61C2×#4111yescharacteristic
306#92420—24no—
307#92420—24no—
308#92420—42no—
309#92420—42no—
310#21049—611nomaximal, Sylow
311C22×C61—22no—
312C22×C61—22no—
313C22×C61—22no—
314C22×C61—22no—
315C22×C61—22no—
316C22×C61—22no—
317C22×C61—22no—
318C22×C61—22no—
319C22×C61—22no—
320C22×C61—22no—
321C22×C61—22no—
322C22×C61—22no—
323C22×C61—416no—
324C22×C61—41no—
325C22×C61—41no—
326C22×C61—41no—
327C22×C61—41no—
328C22×C61—41no—
329C22×C61—41no—
330C22×C61—41no—
331C22×C61—41no—
332C22×C61#38814yes—
333C22×C61C2×#11711yescharacteristic
334C22×C61C2×C4×D411yescharacteristic
335C22×C61C2×C4×D411yescharacteristic
336C22×C61C22×M1611yescharacteristic
337C22×C61C22×M1611yescharacteristic
338C22×C61#56811yescharacteristic
339C22×C61#56811yescharacteristic
340C4×C61—22no—
341C4×C61—22no—
342C4×C61—41no—
343C4×C61—41no—
344Dic61—22no—
345Dic61—22no—
346Dic61—41no—
347Dic61—41no—
348Dic61—41no—
349Dic61—41no—
350Dic61#38814yes—
351Dic61C2×#12111yescharacteristic
352Dic61C2×#12311yescharacteristic
353Dic61C2×#12411yescharacteristic
354Dic61C2×#12611yescharacteristic
355C2×#423—611no—
356C2×#407—611no—
357C2×#407—611no—
358C2×C4×M16—611no—
359C2×C4×C22⋊C4—611no—
360#1924—612no—
361#1924—612no—
362#1923—612no—
363#1923—612no—
364#1728—611no—
365#1728—611no—
366C2×C61—24no—
367C2×C61—42no—
368C2×C61—42no—
369C2×C61C2×#38811yescharacteristic
370C2×C61#292011yescharacteristic
371C2×C61#292111yescharacteristic
372C2×C61D4×M1611yescharacteristic
373C2×C61D4×M1611yescharacteristic
374C2×C61D4×M1611yescharacteristic
375C2×C61D4×M1611yescharacteristic
376C24×C4—611no—
377C22×M16—611no—
378C22×M16—611no—
379C22×M16—611no—
380C22×M16—611no—
381C22×C22⋊C4—611no—
382C22×C22⋊C4#692311yescharacteristic
383C22×C42—611no—
384C22×C42—611no—
385#423—1224no—
386C2×C4⋊C8—612no—
387C2×C4⋊C8—612no—
388#407—1224no—
389#407—1224no—
390C2×C22⋊C8—612no—
391C2×C22⋊C8—612no—
392C2×C22⋊C8—612no—
393C2×C22⋊C8—612no—
394C4×M16—1224no—
395C2×#97—612no—
396C2×C4×C8—612no—
397C4×C22⋊C4—611no—
398C4×C22⋊C4—611no—
399C4×C22⋊C4—611no—
400C4×C22⋊C4—611no—
401C4×C22⋊C4—611no—
402C4×C22⋊C4—611no—
403C4×C22⋊C4—611no—
404C4×C22⋊C4—611no—
405C2×#95—611no—
406C2×#95—611no—
407#336—612no—
408#336—612no—
409#336—612no—
410#336—612no—
411C61#2104911yescharacteristic, complemented, Sylow
412C25C2×#692311yescharacteristic
413C23×C4—611no—
414C23×C4—611no—
415C23×C4—611no—
416C23×C4—611no—
417C23×C4—611no—
418C23×C4—611no—
419C23×C4—611no—
420C23×C4—611no—
421C23×C4—1222no—
422C23×C4—1222no—
423C23×C4—1222no—
424C23×C4—1222no—
425C23×C4—1222no—
426C23×C4—1222no—
427C23×C4C2×#692311yescharacteristic
428C23×C4C2×#692311yescharacteristic
429C2×M16—614no—
430C2×M16—614no—
431C2×M16—1222no—
432C2×M16—1222no—
433C2×M16—1222no—
434C2×M16—1222no—
435C2×M16—1222no—
436C2×M16—1222no—
437C2×M16—1222no—
438C2×M16—1222no—
439C2×M16—1222no—
440C2×M16—1222no—
441C22×C8—612no—
442C22×C8—612no—
443C22×C8—612no—
444C22×C8—612no—
445C2×C22⋊C4—24no—
446C2×C22⋊C4—611no—
447C2×C22⋊C4—611no—
448C2×C22⋊C4—611no—
449C2×C22⋊C4—611no—
450C2×C22⋊C4—1224no—
451C2×C22⋊C4C2×#692311yescharacteristic
452C2×C22⋊C4C2×#692311yescharacteristic
453C2×C22⋊C4C2×#692311yescharacteristic
454C2×C22⋊C4C2×#692311yescharacteristic
455C2×C42—611no—
456C2×C42—611no—
457C2×C42—611no—
458C2×C42—611no—
459C2×C42—611no—
460C2×C42—611no—
461C2×C42—611no—
462C2×C42—611no—
463C2×C42—1222no—
464C2×C42—1222no—
465C2×C42—1222no—
466C2×C42—1222no—
467C4⋊C8—1224no—
468C4⋊C8—1224no—
469C22⋊C8—1224no—
470C22⋊C8—1224no—
471C22⋊C8—1224no—
472C22⋊C8—1224no—
473#97—1224no—
474C4×C8—1224no—
475#95—611no—
476#95—611no—
477#95—611no—
478#95—611no—
479#95—611no—
480#95—611no—
481#95—611no—
482#95—611no—
483C24—22no—
484C24—22no—
485C24—22no—
486C24—22no—
487C24—22no—
488C24—41no—
489C24—41no—
490C24C22×#692311yescharacteristic
491C24C22×#692311yescharacteristic
492C24C22×#692311yescharacteristic
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—41no—
498C22×C4—41no—
499C22×C4—612no—
500C22×C4—612no—
501C22×C4—612no—
502C22×C4—612no—
503C22×C4—612no—
504C22×C4—612no—
505C22×C4—611no—
506C22×C4—611no—
507C22×C4—611no—
508C22×C4—611no—
509C22×C4—611no—
510C22×C4—611no—
511C22×C4—611no—
512C22×C4—611no—
513C22×C4—1221no—
514C22×C4—1221no—
515C22×C4—1221no—
516C22×C4—1221no—
517C22×C4—1222no—
518C22×C4—1222no—
519C22×C4—1222no—
520C22×C4—1222no—
521C22×C4—1221no—
522C22×C4—1221no—
523C22×C4—1221no—
524C22×C4—1221no—
525C22×C4—1222no—
526C22×C4—1222no—
527C22×C4—1222no—
528C22×C4—1222no—
529C22×C4—1221no—
530C22×C4—1221no—
531C22×C4—1221no—
532C22×C4—1221no—
533C22×C4—1222no—
534C22×C4—1222no—
535C22×C4—1222no—
536C22×C4—1222no—
537C22×C4—1222no—
538C22×C4—2444no—
539C22×C4—2444no—
540C22×C4—2444no—
541C22×C4—2444no—
542C22×C4—2441no—
543C22×C4—2441no—
544C22×C4C22×#692311yescharacteristic
545C22×C4C22×#692311yescharacteristic
546C22×C4C22×#692311yescharacteristic
547C22×C4C22×#692311yescharacteristic
548M16—1228no—
549M16—1228no—
550M16—2444no—
551M16—2444no—
552C2×C8—614no—
553C2×C8—614no—
554C2×C8—1222no—
555C2×C8—1222no—
556C2×C8—1222no—
557C2×C8—1222no—
558C2×C8—1222no—
559C2×C8—1222no—
560C2×C8—1222no—
561C2×C8—1222no—
562C2×C8—1222no—
563C2×C8—1222no—
564C22⋊C4—22no—
565C22⋊C4—22no—
566C22⋊C4—22no—
567C22⋊C4—614no—
568C22⋊C4—1222no—
569C22⋊C4—1222no—
570C22⋊C4—1222no—
571C22⋊C4#1175821714yescomplemented
572C42—1221no—
573C42—1221no—
574C42—1221no—
575C42—1221no—
576C42—1222no—
577C42—1222no—
578C42—1221no—
579C42—1221no—
580C42—1222no—
581C42—1222no—
582C42—1221no—
583C42—1221no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—28no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—44no—
602C23—44no—
603C23—44no—
604C23—44no—
605C23—44no—
606C23—44no—
607C23#1451985612yes—
608C23D4×#692312yes—
609C23D4×#692312yes—
610C23C2×#1175821712yes—
611C23D61⋊M1612yes—
612C23C23×#692311yescharacteristic
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—44no—
624C2×C4—44no—
625C2×C4—614no—
626C2×C4—614no—
627C2×C4—614no—
628C2×C4—614no—
629C2×C4—612no—
630C2×C4—611no—
631C2×C4—611no—
632C2×C4—612no—
633C2×C4—612no—
634C2×C4—611no—
635C2×C4—611no—
636C2×C4—611no—
637C2×C4—611no—
638C2×C4—612no—
639C2×C4—612no—
640C2×C4—1221no—
641C2×C4—1221no—
642C2×C4—1221no—
643C2×C4—1221no—
644C2×C4—1221no—
645C2×C4—1221no—
646C2×C4—1221no—
647C2×C4—1221no—
648C2×C4—1221no—
649C2×C4—1221no—
650C2×C4—1221no—
651C2×C4—1221no—
652C2×C4—1221no—
653C2×C4—1221no—
654C2×C4—1221no—
655C2×C4—1221no—
656C2×C4—2441no—
657C2×C4—2441no—
658C2×C4—2441no—
659C2×C4—2441no—
660C2×C4—2441no—
661C2×C4—2441no—
662C2×C4—2441no—
663C2×C4—2441no—
664C2×C4—2444no—
665C2×C4—2444no—
666C2×C4—2444no—
667C2×C4—2444no—
668C2×C4—2444no—
669C2×C4C2×#1175821712yes—
670C2×C4C2×#1175821712yes—
671C8—1224no—
672C8—1224no—
673C8—2442no—
674C8—2442no—
675C22—22no—
676C22—22no—
677C22—22no—
678C22—22no—
679C22—22no—
680C22—22no—
681C22—22no—
682C22—22no—
683C22—22no—
684C22—22no—
685C22—22no—
686C22—22no—
687C22—416no—
688C22—41no—
689C22—41no—
690C22—41no—
691C22—41no—
692C22—41no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22#1684071214yes—
697C22C2×#1451985611yescharacteristic
698C22C2×D4×#692311yescharacteristic
699C22C2×D4×#692311yescharacteristic
700C22C22×#1175821711yescharacteristic
701C22C2×D61⋊M1611yescharacteristic
702C22#1684084011yescharacteristic
703C22#1684084011yescharacteristic
704C4—22no—
705C4—22no—
706C4—41no—
707C4—41no—
708C4—611no—
709C4—611no—
710C4—611no—
711C4—611no—
712C4—614no—
713C4—1222no—
714C4—1222no—
715C4—2441no—
716C4—2441no—
717C4—2441no—
718C4—2441no—
719C2—24no—
720C2—42no—
721C2—42no—
722C2C2×#1684071211yescharacteristic
723C2#2146249511yescharacteristic
724C2#2146249911yescharacteristic
725C2D4×#1175821711yescharacteristic
726C2D4×#1175821711yescharacteristic
727C2#2146255711yescharacteristic
728C2#2146255711yescharacteristic
subgroupG/H
center, FrattiniC23C23×#6923
commutator, socleC23×C61C23×C4
FittingC22×C22⋊C4×C61C4
prime radicalC25×C61C2×C4
cosocleC22×Dic61C24
hypercenterC22×C22⋊C4#6923
hypocenterC61#21049
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ C22×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#16840765C2semidirect
4. C2×C4×#11758217C2semidirect
5. #21461893C2semidirect
6. #21461892C2semidirect
7. #21461889C2semidirect
8. #21461888C2semidirect
9. #21461482C2semidirect
10. #21461482C2semidirect
17. C2×#14519844C22semidirect
18. C2×C4⋊#92420C22semidirect
26. C2×#14519832C22semidirect
27. C2×C4×#92420C22semidirect
28. #16840628C22semidirect
29. #16840628C22semidirect
30. #16840628C22semidirect
31. #16840628C22semidirect
202. C22⋊C4×C61M16semidirect
206. C22⋊Dic61M16semidirect
411. C61#21049semidirect
571. C22⋊C4#11758217semidirect

Maximal subgroups

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

subgroupindex
C2×#168407652
C2×#168407322
C2×C4×#117582172
#214618932
#214618922
#214618892
#214618882
#214614822
C2×C22⋊C4×Dic612
#2104961