Finite Group Databasebeta

← #29840798

Subgroups — #29840798

Order 15616.

2742 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
1C22×#14519762C211yesmaximal, characteristic
2#21448948C214yesmaximal, complemented
3#21448816C214yesmaximal, complemented
4#21448697C212yesmaximal, complemented
5#21448669C212yesmaximal, complemented
6#21448669C212yesmaximal, complemented
7C22⋊C4×D244C212yesmaximal
8#21448603C214yesmaximal, complemented
9#21448422C211yesmaximal, characteristic, complemented
10#21448414C211yesmaximal, characteristic, complemented
11C4×#14519762C214yesmaximal, complemented
12#21448200C211yesmaximal, characteristic, complemented
13#21448171C211yesmaximal, characteristic, complemented
14C4×C22⋊C4×D61C211yesmaximal, characteristic, complemented
15C61×#2274C211yesmaximal, characteristic, complemented
16C23×D244C2211yescharacteristic
17C23×C4×D61C2211yescharacteristic
18C2×#14519762C4116yescomplemented
19C2×#14519762C2212yes—
20C2×#14519762C2212yes—
21C2×#14519762C2212yes—
22C2×#14519762C2212yes—
23C2×C4×D244C2214yes—
24C2×#14519734C2212yescomplemented
25C22×#11758196C2211yescharacteristic
26C22×#11758198C2211yescharacteristic
27C22×#11758198C2211yescharacteristic
28C22×#11758198C2211yescharacteristic
29C2×C22⋊C4×D61C2212yes—
30C2×C22⋊C4×D61C2212yes—
31C2×C42×D61C2212yescomplemented
32#16839664C2214yes—
33#16839659C2214yescomplemented
34#16839653C2214yescomplemented
35#16839653C2214yescomplemented
36#16839653C2214yescomplemented
37#16839652C2214yescomplemented
38#16839652C2214yescomplemented
39#16839651C2214yescomplemented
40#16839649C2214yescomplemented
41#16839648C2214yescomplemented
42#16839648C2214yescomplemented
43#16839646C2214yescomplemented
44#16839640C2214yes—
45#16839640C2214yes—
46#16839633C2214yescomplemented
47#16839633C2214yescomplemented
48#16839625C2212yes—
49#16839624C2212yescomplemented
50#16839622C2212yes—
51#16839621C2212yescomplemented
52#16839620C2212yes—
53#16839620C2212yes—
54#16839617C2212yes—
55#16839617C2212yes—
56C4×#11758196C2214yescomplemented
57C22⋊C4×Dic61C2212yes—
58C22⋊C4×Dic61C2212yes—
59C4×#11758198C2212yescomplemented
60C4×#11758198C2214yescomplemented
61C4×#11758198C2214yescomplemented
62C4×#11758198C2214yescomplemented
63C4×#11758198C2212yescomplemented
64C4×C22⋊Dic61C2211yescharacteristic
65C4×C22⋊Dic61C2211yescharacteristic
66#16839609C2214yescomplemented
67#16839609C2212yescomplemented
68#95×D61C2212yescomplemented
69C2×#117×C61C2212yes—
70C22×C4⋊C4×C61C2211yescharacteristic
71C4×C4⋊C4×C61C2214yescomplemented
72C4×C4⋊C4×C61C2214yescomplemented
73C4×C22⋊C4×C61C2211yescharacteristic
74C4×C22⋊C4×C61C2212yes—
75C4×C22⋊C4×C61C2211yescharacteristic
76C24×D61C2311yescharacteristic
77C24×D61C2311yescharacteristic
78C22×D244—44no—
79C22×D244C2×C418yes—
80C22×D244C2312yes—
81C22×D244C2312yes—
82C23×Dic61C2311yescharacteristic
83C23×Dic61C2311yescharacteristic
84C22×C4×D61—44no—
85C22×C4×D61C2×C418yescomplemented
86C22×C4×D61C2314yes—
87C22×C4×D61C2311yescharacteristic
88C22×C4×D61C2311yescharacteristic
89C22×C4×D61C2314yes—
90C22×C4×D61C2311yescharacteristic
91C22×C4×D61C2311yescharacteristic
92#14519762C2×C4116yescomplemented
93#14519762C2×C4116yescomplemented
94#14519762C2×C4116yescomplemented
95#14519762C2×C4116yescomplemented
96C4×D244—48no—
97#14519734—44no—
98C2×C4⋊Dic61C2314yes—
99C2×#11758196C2×C418yescomplemented
100C2×#11758196C2314yes—
101C2×#11758196C2314yes—
102C2×#11758196C2312yes—
103C2×#11758196C2312yes—
104C2×C22⋊Dic61C2312yes—
105C2×C22⋊Dic61C2312yes—
106C2×#11758198C2×C418yescomplemented
107C2×#11758198C2×C418yescomplemented
108C2×#11758198C2×C418yescomplemented
109C2×#11758198C2314yes—
110C2×#11758198C2314yes—
111C2×#11758198C2314yes—
112C2×#11758198C2314yes—
113C2×#11758198C2314yes—
114C2×#11758198C2314yes—
115C2×#11758198C2312yes—
116C2×#11758198C2312yes—
117C2×#11758198C2312yes—
118C2×#11758198C2312yes—
119C2×#11758198C2312yes—
120C2×#11758198C2312yes—
121C22⋊C4×D61—28no—
122C22⋊C4×D61—28no—
123C2×C4×Dic61C2314yes—
124C2×C4×Dic61C2312yes—
125C2×C4×Dic61C2312yes—
126C2×C4×Dic61C2314yes—
127C42×D61—44no—
128#14519684C2312yes—
129#14519684C2314yes—
130#14519684C2314yes—
131#14519684C2312yes—
132#14519684C2314yes—
133#14519684C2314yes—
134#14519684C2314yes—
135#14519684C2314yes—
136#14519684C2314yes—
137C23×C4×C61C2311yescharacteristic
138C23×C4×C61C2311yescharacteristic
139C23×C4×C61C2311yescharacteristic
140#117×C61—28no—
141C2×C4⋊C4×C61C2×C418yescomplemented
142C2×C4⋊C4×C61C2314yes—
143C2×C4⋊C4×C61C2312yes—
144C2×C4⋊C4×C61C2312yes—
145C2×C22⋊C4×C61C2312yes—
146C2×C22⋊C4×C61C2312yes—
147C2×C42×C61C2314yes—
148C2×C42×C61C2312yes—
149C2×C42×C61C2312yes—
150C2×C42×C61C2314yes—
151#95×C61C2312yes—
152#95×C61C2312yes—
153#95×C61C2314yes—
154C24×C61C2411yescharacteristic
155C23×D61—24no—
156C23×D61—24no—
157C23×D61—24no—
158C23×D61—42no—
159C23×D61—42no—
160C23×D61—42no—
161C23×D61C22×C414yes—
162C23×D61C22×C414yes—
163C23×D61C2411yescharacteristic
164C23×D61C2412yes—
165C23×D61C2411yescharacteristic
166C22×C4×C61—24no—
167C22×C4×C61—42no—
168C22×C4×C61—42no—
169C22×C4×C61C22×C414yes—
170C22×C4×C61C22×C414yes—
171C22×C4×C61C22×C414yes—
172C22×C4×C61C2414yes—
173C22×C4×C61C2411yescharacteristic
174C22×C4×C61C2411yescharacteristic
175C22×C4×C61C2412yes—
176C22×C4×C61C2412yes—
177C22×C4×C61C2414yes—
178C22×Dic61—42no—
179C22×Dic61—42no—
180C22×Dic61C22×C414yes—
181C22×Dic61C22×C414yes—
182C22×Dic61C2414yes—
183C22×Dic61C2414yes—
184C22×Dic61C2411yescharacteristic
185C22×Dic61C2411yescharacteristic
186C22×Dic61C2412yes—
187C2×D244—28no—
188C2×D244—416no—
189C2×D244—44no—
190C2×D244C22×C418yes—
191C2×D244C22×C418yes—
192C2×C4×D61—24no—
193C2×C4×D61—24no—
194C2×C4×D61—28no—
195C2×C4×D61—28no—
196C2×C4×D61—28no—
197C2×C4×D61—416no—
198C2×C4×D61—42no—
199C2×C4×D61—42no—
200C2×C4×D61—44no—
201C2×C4×D61—44no—
202C2×C4×D61—44no—
203C2×C4×D61C22×C414yes—
204C2×C4×D61C22×C414yes—
205C2×C4×D61C22×C414yes—
206C2×C4×D61C22×C414yes—
207C4⋊C4×C61—28no—
208C4⋊C4×C61C22×C418yes—
209C4⋊C4×C61C22×C418yes—
210C22⋊C4×C61—24no—
211C22⋊C4×C61#4118yes—
212C42×C61—28no—
213C42×C61—42no—
214C42×C61—42no—
215C42×C61—44no—
216C22⋊Dic61—24no—
217C22⋊Dic61—24no—
218#11758198—28no—
219#11758198—28no—
220#11758198—28no—
221#11758198—44no—
222#11758198—44no—
223#11758198—44no—
224#11758198C22×C418yes—
225#11758198C22×C418yes—
226#11758198C22×C418yes—
227#11758198C22×C418yes—
228#11758198C22×C418yes—
229#11758198C22×C418yes—
230C4⋊Dic61—44no—
231#11758196—44no—
232#11758196—44no—
233#11758196C22×C418yes—
234#11758196C22×C418yes—
235C4×Dic61—44no—
236C4×Dic61—42no—
237C4×Dic61—44no—
238C4×Dic61—42no—
239C23×C61—22no—
240C23×C61—22no—
241C23×C61C23×C412yes—
242C23×C61C2×#4114yes—
243C23×C61C2511yescharacteristic
244C22×D61—22no—
245C22×D61—22no—
246C22×D61—28no—
247C22×D61—22no—
248C22×D61—22no—
249C22×D61—22no—
250C22×D61—24no—
251C22×D61—22no—
252C22×D61—22no—
253C22×D61—24no—
254C22×D61—28no—
255C22×D61—28no—
256C22×D61—44no—
257C22×D61—44no—
258C22×D61—44no—
259C22×D61—416no—
260C22×D61—88no—
261C22×D61C23×C414yes—
262C22×D61C23×C412yes—
263C22×D61C23×C412yes—
264C22×D61H(5,𝔽2)14yes—
265C2×C4×C61—28no—
266C2×C4×C61—22no—
267C2×C4×C61—22no—
268C2×C4×C61—24no—
269C2×C4×C61—22no—
270C2×C4×C61—22no—
271C2×C4×C61—24no—
272C2×C4×C61—24no—
273C2×C4×C61—24no—
274C2×C4×C61—24no—
275C2×C4×C61—24no—
276C2×C4×C61—44no—
277C2×C4×C61—44no—
278C2×C4×C61C23×C414yes—
279C2×C4×C61C23×C414yes—
280C2×C4×C61C23×C412yes—
281C2×C4×C61C23×C412yes—
282C2×C4×C61C2×#4118yes—
283C2×Dic61—22no—
284C2×Dic61—22no—
285C2×Dic61—24no—
286C2×Dic61—24no—
287C2×Dic61—24no—
288C2×Dic61—24no—
289C2×Dic61—24no—
290C2×Dic61—24no—
291C2×Dic61—24no—
292C2×Dic61—44no—
293C2×Dic61—44no—
294C2×Dic61C23×C414yes—
295C2×Dic61C23×C412yes—
296C2×Dic61C23×C412yes—
297D244—216no—
298D244—48no—
299C4×D61—28no—
300C4×D61—28no—
301C4×D61—44no—
302C4×D61—44no—
303C4×D61—416no—
304C4×D61—88no—
305#34238—611nomaximal, Sylow
306C22×C61—22no—
307C22×C61—22no—
308C22×C61—28no—
309C22×C61C4×#4114yes—
310C22×C61C24×C411yescharacteristic
311C22×C61C22×#4112yes—
312C22×C61C2×H(5,𝔽2)12yes—
313C22×C61#58512yes—
314C2×D61—22no—
315C2×D61—22no—
316C2×D61—28no—
317C2×D61—22no—
318C2×D61—24no—
319C2×D61—22no—
320C2×D61—24no—
321C2×D61—22no—
322C2×D61—24no—
323C2×D61—416no—
324C2×D61—44no—
325C2×D61—44no—
326C2×D61—44no—
327C2×D61—88no—
328C2×D61#51814yes—
329C4×C61—24no—
330C4×C61—22no—
331C4×C61—22no—
332C4×C61—24no—
333C4×C61—28no—
334C4×C61—44no—
335Dic61—22no—
336Dic61—22no—
337Dic61—24no—
338Dic61—44no—
339Dic61—44no—
340C22×#123—611no—
341#2374—614no—
342#2359—614no—
343#2345—612no—
344#2342—612no—
345#2342—612no—
346D4×C22⋊C4—612no—
347#2335—614no—
348#2313—611no—
349#2312—611no—
350C4×#123—614no—
351#2280—611no—
352#2274D6111yescharacteristic, complemented
353#2273—611no—
354C2×C4×C22⋊C4—611no—
355C2×C61—24no—
356C2×C61C2×C4×#4111yescharacteristic
357C2×C61C2×#51811yescharacteristic
358C2×C61#342811yescharacteristic
359C2×C61#351314yes—
360D61—24no—
361D61—42no—
362D61—44no—
363C23×D4—611no—
364C24×C4—611no—
365C2×#123—6116no—
366C2×#123—612no—
367C2×#123—612no—
368C2×#123—612no—
369C2×#123—612no—
370C2×C4×D4—614no—
371C2×#117—612no—
372C2×#117C2×D6112yes—
373C22×C4⋊C4—611no—
374C22×C4⋊C4C2×D6111yescharacteristic
375C22×C22⋊C4—611no—
376C22×C22⋊C4—611no—
377C22×C22⋊C4—611no—
378C22×C22⋊C4—612no—
379C22×C22⋊C4—612no—
380C22×C42—612no—
381#390—614no—
382#389—614no—
383#388—614no—
384#388—614no—
385#388—614no—
386#388—614no—
387#388—614no—
388#388—614no—
389#387—614no—
390#387—614no—
391#387—614no—
392#387—614no—
393#386—614no—
394#386—614no—
395#385—614no—
396#385—614no—
397#381—612no—
398#381—612no—
399#380—612no—
400#380—612no—
401#380—612no—
402#380—612no—
403#379—612no—
404#379—612no—
405C4×C4⋊C4—614no—
406C4×C4⋊C4C2×D6114yescomplemented
407C4×C4⋊C4C2×D6114yescomplemented
408C4×C22⋊C4—611no—
409C4×C22⋊C4—611no—
410C4×C22⋊C4—612no—
411C4×C22⋊C4—612no—
412C4×C22⋊C4—612no—
413C4×C22⋊C4—614no—
414C4×C22⋊C4—614no—
415C4×C22⋊C4—614no—
416C4×C22⋊C4—612no—
417C4×C22⋊C4—614no—
418C4×C22⋊C4—612no—
419C4×C22⋊C4C2×D6111yescharacteristic
420C4×C22⋊C4C2×D6112yes—
421C4×C22⋊C4C2×D6111yescharacteristic
422C2×#95—612no—
423C61#3423811yescharacteristic, complemented, Sylow
424C25—611no—
425C25—611no—
426C22×D4—618no—
427C22×D4—612no—
428C22×D4—612no—
429C22×D4—2444no—
430C23×C4—611no—
431C23×C4—611no—
432C23×C4—611no—
433C23×C4—611no—
434C23×C4—618no—
435C23×C4—611no—
436C23×C4—611no—
437C23×C4—614no—
438C23×C4—614no—
439C23×C4—2444no—
440C23×C4C22×D6111yescharacteristic
441C23×C4C22×D6111yescharacteristic
442C23×C4C22×D6111yescharacteristic
443#123—6116no—
444#123—6116no—
445#123—6116no—
446#123—6116no—
447C4×D4—2448no—
448#117—28no—
449#117—2444no—
450C2×C4⋊C4—618no—
451C2×C4⋊C4—612no—
452C2×C4⋊C4—612no—
453C2×C4⋊C4—614no—
454C2×C4⋊C4—614no—
455C2×C4⋊C4—614no—
456C2×C4⋊C4C4×D6118yescomplemented
457C2×C4⋊C4C22×D6114yes—
458C2×C4⋊C4C22×D6112yes—
459C2×C4⋊C4C22×D6112yes—
460C2×C22⋊C4—618no—
461C2×C22⋊C4—618no—
462C2×C22⋊C4—618no—
463C2×C22⋊C4—612no—
464C2×C22⋊C4—612no—
465C2×C22⋊C4—612no—
466C2×C22⋊C4—612no—
467C2×C22⋊C4—612no—
468C2×C22⋊C4—612no—
469C2×C22⋊C4—612no—
470C2×C22⋊C4—612no—
471C2×C22⋊C4—614no—
472C2×C22⋊C4—614no—
473C2×C22⋊C4—614no—
474C2×C22⋊C4—614no—
475C2×C22⋊C4—614no—
476C2×C22⋊C4—614no—
477C2×C22⋊C4—1228no—
478C2×C22⋊C4—1228no—
479C2×C22⋊C4C22×D6112yes—
480C2×C22⋊C4C22×D6112yes—
481C2×C42—612no—
482C2×C42—614no—
483C2×C42—614no—
484C2×C42—612no—
485C2×C42—2444no—
486C2×C42C22×D6114yes—
487C2×C42C22×D6112yes—
488C2×C42C22×D6114yes—
489C2×C42C22×D6112yes—
490#95—614no—
491#95—612no—
492#95—612no—
493#95—614no—
494#95—614no—
495#95—614no—
496#95—614no—
497#95—614no—
498#95—614no—
499#95C22×D6112yes—
500#95C22×D6112yes—
501#95C22×D6114yes—
502C24—611no—
503C24—612no—
504C24—611no—
505C24—614no—
506C24—614no—
507C24—1224no—
508C24—1224no—
509C24—1224no—
510C24—2442no—
511C24—2442no—
512C24—2442no—
513C24C23×D6111yescharacteristic
514C2×D4—618no—
515C2×D4—618no—
516C2×D4—1228no—
517C2×D4—2444no—
518C2×D4—24416no—
519C22×C4—24no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—611no—
523C22×C4—612no—
524C22×C4—611no—
525C22×C4—614no—
526C22×C4—614no—
527C22×C4—614no—
528C22×C4—614no—
529C22×C4—614no—
530C22×C4—614no—
531C22×C4—614no—
532C22×C4—614no—
533C22×C4—1224no—
534C22×C4—1224no—
535C22×C4—1228no—
536C22×C4—1228no—
537C22×C4—1228no—
538C22×C4—2444no—
539C22×C4—2444no—
540C22×C4—2442no—
541C22×C4—2442no—
542C22×C4—2444no—
543C22×C4—24416no—
544C22×C4—2442no—
545C22×C4—2442no—
546C22×C4C2×C4×D6114yes—
547C22×C4C2×C4×D6114yes—
548C22×C4C2×C4×D6114yes—
549C22×C4C23×D6114yes—
550C22×C4C23×D6112yes—
551C22×C4C23×D6111yescharacteristic
552C22×C4C23×D6111yescharacteristic
553C22×C4C23×D6112yes—
554C22×C4C23×D6114yes—
555C4⋊C4—28no—
556C4⋊C4—618no—
557C4⋊C4—618no—
558C4⋊C4—2444no—
559C4⋊C4—2444no—
560C4⋊C4—2444no—
561C4⋊C4C2×C4×D6118yes—
562C4⋊C4C2×C4×D6118yes—
563C22⋊C4—24no—
564C22⋊C4—618no—
565C22⋊C4—618no—
566C22⋊C4—618no—
567C22⋊C4—618no—
568C22⋊C4—618no—
569C22⋊C4—618no—
570C22⋊C4—1228no—
571C22⋊C4—1224no—
572C22⋊C4—1224no—
573C22⋊C4—1228no—
574C22⋊C4—1228no—
575C22⋊C4—2444no—
576C22⋊C4—2444no—
577C22⋊C4—2444no—
578C22⋊C4#1175822218yes—
579C42—28no—
580C42—42no—
581C42—42no—
582C42—44no—
583C42—2444no—
584C42—2442no—
585C42—2444no—
586C42—2442no—
587C23—22no—
588C23—22no—
589C23—612no—
590C23—614no—
591C23—614no—
592C23—612no—
593C23—1228no—
594C23—1222no—
595C23—1222no—
596C23—1228no—
597C23—1228no—
598C23—1222no—
599C23—1222no—
600C23—1222no—
601C23—1224no—
602C23—1222no—
603C23—1222no—
604C23—1224no—
605C23—4888no—
606C23—2444no—
607C23—2444no—
608C23—2444no—
609C23—24416no—
610C23C22×C4×D6112yes—
611C23C2×#1175822214yes—
612C23C24×D6111yescharacteristic
613D4—12216no—
614D4—2448no—
615C2×C4—28no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—24no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—24no—
622C2×C4—24no—
623C2×C4—24no—
624C2×C4—24no—
625C2×C4—24no—
626C2×C4—44no—
627C2×C4—44no—
628C2×C4—614no—
629C2×C4—612no—
630C2×C4—612no—
631C2×C4—1228no—
632C2×C4—1228no—
633C2×C4—1222no—
634C2×C4—1222no—
635C2×C4—1224no—
636C2×C4—1224no—
637C2×C4—1224no—
638C2×C4—1224no—
639C2×C4—1224no—
640C2×C4—1224no—
641C2×C4—1224no—
642C2×C4—4888no—
643C2×C4—2444no—
644C2×C4—2444no—
645C2×C4—24416no—
646C2×C4—2444no—
647C2×C4—2444no—
648C2×C4C22×C4×D6114yes—
649C2×C4C22×C4×D6112yes—
650C2×C4C22×C4×D6112yes—
651C2×C4C22×C4×D6114yes—
652C2×C4C2×#1175822218yes—
653C22—28no—
654C22—22no—
655C22—22no—
656C22—614no—
657C22—1228no—
658C22—1222no—
659C22—1222no—
660C22—1224no—
661C22—1222no—
662C22—1222no—
663C22—1224no—
664C22—1224no—
665C22—1222no—
666C22—4888no—
667C22—24416no—
668C22—2444no—
669C22—2444no—
670C22—2444no—
671C22C4×#1175822214yes—
672C22C23×C4×D6111yescharacteristic
673C22C22×#1175822212yes—
674C22H(5,𝔽2)×D6112yes—
675C22#1684059912yes—
676C4—28no—
677C4—24no—
678C4—22no—
679C4—22no—
680C4—24no—
681C4—44no—
682C4—1222no—
683C4—1222no—
684C4—1224no—
685C4—2444no—
686C4—2444no—
687C2—24no—
688C2—1224no—
689C2—2444no—
690C2—2442no—
691C2C2×C4×#1175822211yescharacteristic
692C2#518×D6111yescharacteristic
693C2#2145902111yescharacteristic
694C2#2145976114yes—
subgroupG/H
center, FrattiniC23C24×D61
commutatorC22×C61C24×C4
FittingC61×#2274C2
socle, cosocleC23×C61C25
prime radicalC23×D244C22
hypercenter#2274D61
hypocenterC61#34238
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2274

Complements

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

NH ≅ G/Ntype
2. #21448948C2semidirect
3. #21448816C2semidirect
4. #21448697C2semidirect
5. #21448669C2semidirect
6. #21448669C2semidirect
8. #21448603C2semidirect
9. #21448422C2semidirect
10. #21448414C2semidirect
11. C4×#14519762C2semidirect
12. #21448200C2semidirect
13. #21448171C2semidirect
14. C4×C22⋊C4×D61C2semidirect
15. C61×#2274C2semidirect
18. C2×#14519762C4semidirect
24. C2×#14519734C22semidirect
31. C2×C42×D61C22semidirect
33. #16839659C22semidirect
34. #16839653C22semidirect
35. #16839653C22semidirect
36. #16839653C22semidirect
37. #16839652C22semidirect
38. #16839652C22semidirect
39. #16839651C22semidirect
40. #16839649C22semidirect
41. #16839648C22semidirect
42. #16839648C22semidirect
43. #16839646C22semidirect
46. #16839633C22semidirect
47. #16839633C22semidirect
49. #16839624C22semidirect
51. #16839621C22semidirect
56. C4×#11758196C22semidirect
59. C4×#11758198C22semidirect
60. C4×#11758198C22semidirect
61. C4×#11758198C22semidirect
62. C4×#11758198C22semidirect
63. C4×#11758198C22semidirect
66. #16839609C22semidirect
67. #16839609C22semidirect
68. #95×D61C22semidirect
71. C4×C4⋊C4×C61C22semidirect
72. C4×C4⋊C4×C61C22semidirect
85. C22×C4×D61C2×C4semidirect
92. #14519762C2×C4semidirect
93. #14519762C2×C4semidirect
94. #14519762C2×C4semidirect
95. #14519762C2×C4semidirect
99. C2×#11758196C2×C4semidirect
106. C2×#11758198C2×C4semidirect
107. C2×#11758198C2×C4semidirect
108. C2×#11758198C2×C4semidirect
141. C2×C4⋊C4×C61C2×C4semidirect
352. #2274D61semidirect
406. C4×C4⋊C4C2×D61semidirect
407. C4×C4⋊C4C2×D61semidirect
423. C61#34238semidirect
456. C2×C4⋊C4C4×D61semidirect

Maximal subgroups

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

subgroupindex
C22×#145197622
#214489482
#214488162
#214486972
#214486692
C22⋊C4×D2442
#214486032
#214484222
#214484142
C4×#145197622
#214482002
#214481712
C4×C22⋊C4×D612
C61×#22742
#3423861