Finite Group Databasebeta

← #29698243

Subgroups — #29698243

Order 15616.

1022 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839838C211yesmaximal, characteristic
2C2×#16839801C211yesmaximal, characteristic, complemented
3#21448769C211yesmaximal, characteristic
4C4⋊C4×C22⋊D61C211yesmaximal, characteristic
5#21446579C211yesmaximal, characteristic, complemented
6#21446574C211yesmaximal, characteristic, complemented
7#21446018C211yesmaximal, characteristic, complemented
8#21446017C211yesmaximal, characteristic, complemented
9#21446007C211yesmaximal, characteristic, complemented
10#21446005C211yesmaximal, characteristic, complemented
11#21445977C211yesmaximal, characteristic, complemented
12#21445853C211yesmaximal, characteristic, complemented
13#21445852C211yesmaximal, characteristic, complemented
14#106×Dic61C211yesmaximal, characteristic, complemented
15C2×C61×#428C211yesmaximal, characteristic, complemented
16C22×#11758189C2211yescharacteristic
17C2×C4×C22⋊D61—21no—
18C2×C4×C22⋊D61C2211yescharacteristic
19C2×#14519735C2211yescharacteristic
20C2×C4⋊C4×D61C2211yescharacteristic
21#16839838C418yescomplemented
22#16839801—24no—
23C2×#14519711C2211yescharacteristic
24C2×#14519710C2211yescharacteristic
25C2×#14519710C2211yescharacteristic
26C2×#14519710C2211yescharacteristic
27C2×#14519709C2211yescharacteristic
28C2×#14519708C2211yescharacteristic
29C2×#14519706C2211yescharacteristic
30C2×C22⋊#92418C2211yescharacteristic
31C2×#14519689C2211yescharacteristic
32C2×C8×Dic61C2211yescharacteristic
33#16839662—21no—
34#16839657—21no—
35#16839653—21no—
36#16839650—21no—
37#16839635—21no—
38#16839633—21no—
39#16839631C2211yescharacteristic
40#16839631C2211yescharacteristic
41#16839622C2211yescharacteristic
42#16839622C2211yescharacteristic
43#16839619C2211yescharacteristic
44#16839619C2211yescharacteristic
45C4⋊C4×Dic61C2211yescharacteristic
46C4⋊C4×Dic61C2211yescharacteristic
47C4×#11758196—21no—
48#16839525C2211yescharacteristic
49#16839525C2211yescharacteristic
50#16839524C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839524C2211yescharacteristic
54C22×M16×C61C2211yescharacteristic
55C2×#117×C61C2211yescharacteristic
56C22×C4⋊C4×C61C2211yescharacteristic
57C61×#428—24no—
58C2×#107×C61C2211yescharacteristic
59C2×#107×C61C2211yescharacteristic
60C2×#106×C61C2211yescharacteristic
61C2×#106×C61C2211yescharacteristic
62C22×C22⋊D61D411yescharacteristic
63C22×C4×D61—21no—
64C22×C4×D61C2311yescharacteristic
65C2×#11758189—22no—
66C2×#11758189—22no—
67C2×#11758189C2×C414yescomplemented
68C22×#92418C2311yescharacteristic
69C22×#92418C2311yescharacteristic
70C4×C22⋊D61—44no—
71C4×C22⋊D61C2×C414yes—
72C4×C22⋊D61Q814yes—
73#14519735—22no—
74#14519735—41no—
75C2×C4⋊Dic61C2311yescharacteristic
76C2×C4⋊Dic61C2311yescharacteristic
77C2×C4⋊Dic61C2311yescharacteristic
78C2×C4⋊Dic61C2311yescharacteristic
79C2×#11758196—21no—
80C2×#11758196—21no—
81C2×#11758196—21no—
82C2×#11758196—21no—
83C2×#11758196—21no—
84C2×#11758196D411yescharacteristic
85C4⋊C4×D61—22no—
86C4⋊C4×D61—41no—
87C2×C22⋊Dic61—21no—
88C2×C22⋊Dic61—21no—
89C2×C22⋊Dic61D411yescharacteristic
90C2×#11758198—21no—
91C2×#11758198—21no—
92C2×#11758198—21no—
93C2×#11758198D411yescharacteristic
94C2×C4×Dic61—21no—
95C2×C4×Dic61—21no—
96C2×C4×Dic61—21no—
97C2×C4×Dic61C2311yescharacteristic
98#14519711—22no—
99#14519710—22no—
100#14519710—41no—
101#14519710—41no—
102#14519709—22no—
103#14519708—22no—
104#14519706C2×C414yescomplemented
105C22⋊#92418C2×C414yescomplemented
106#14519689C2×C414yescomplemented
107C8×Dic61C2×C414yescomplemented
108#14519684—21no—
109#14519684—21no—
110#14519684—21no—
111#14519684—21no—
112#14519684—21no—
113#14519684—21no—
114C23×C4×C61—21no—
115C23×C4×C61C2311yescharacteristic
116C2×M16×C61—22no—
117C2×M16×C61—22no—
118C2×M16×C61C2×C414yescomplemented
119C22×C8×C61C2311yescharacteristic
120C22×C8×C61C2311yescharacteristic
121#117×C61—22no—
122#117×C61—41no—
123C2×C4⋊C4×C61—22no—
124C2×C4⋊C4×C61—21no—
125C2×C4⋊C4×C61—41no—
126C2×C4⋊C4×C61C2311yescharacteristic
127C2×C4⋊C4×C61C2311yescharacteristic
128C2×C4⋊C4×C61C2311yescharacteristic
129C2×C4⋊C4×C61C2311yescharacteristic
130C2×C22⋊C4×C61—21no—
131C2×C42×C61—21no—
132#107×C61—22no—
133#107×C61—22no—
134#106×C61—22no—
135#106×C61D414yescomplemented
136C24×C61C2×D411yescharacteristic
137C23×D61C2×D411yescharacteristic
138C22×C4×C61—21no—
139C22×C4×C61—21no—
140C22×C4×C61—21no—
141C22×C4×C61—21no—
142C22×C4×C61—21no—
143C22×C4×C61—21no—
144C22×C4×C61—21no—
145C22×C4×C61—21no—
146C22×C4×C61—42no—
147C22×C4×C61—42no—
148C22×C4×C61—81no—
149C22×C4×C61C22×C412yes—
150C22×C4×C61C2×D411yescharacteristic
151C22×C4×C61C2×Q812yes—
152C22×C4×C61C2411yescharacteristic
153C2×C22⋊D61—22no—
154C2×C22⋊D61—22no—
155C2×C22⋊D61C4⋊C414yes—
156C22×Dic61—21no—
157C22×Dic61—21no—
158C22×Dic61—21no—
159C22×Dic61—21no—
160C22×Dic61C2×D411yescharacteristic
161C22×Dic61C2×D411yescharacteristic
162C22×Dic61C2×D411yescharacteristic
163C2×C4×D61—21no—
164C2×C4×D61—21no—
165C2×C4×D61—21no—
166C2×C4×D61—21no—
167C2×C4×D61—42no—
168C2×C4×D61—42no—
169C2×C4×D61—81no—
170C2×C4×D61C22×C412yes—
171C2×C4×D61C2×Q812yes—
172M16×C61—28no—
173C2×C8×C61—21no—
174C2×C8×C61—21no—
175C2×C8×C61C22×C412yes—
176C2×C8×C61C22×C412yes—
177C2×C8×C61C2×D412yes—
178C2×C8×C61#4112yes—
179C4⋊C4×C61—21no—
180C4⋊C4×C61—21no—
181C4⋊C4×C61—21no—
182C4⋊C4×C61—21no—
183C4⋊C4×C61—21no—
184C4⋊C4×C61—21no—
185C4⋊C4×C61—42no—
186C4⋊C4×C61C2×D412yes—
187C4⋊C4×C61C2×D412yes—
188C22⋊C4×C61—42no—
189C42×C61—42no—
190C22⋊Dic61—42no—
191C22⋊Dic61—81no—
192C22⋊Dic61C4⋊C414yes—
193#11758198—42no—
194#11758198—42no—
195#11758198—81no—
196#11758198C4⋊C414yes—
197C4⋊Dic61—21no—
198C4⋊Dic61—21no—
199C4⋊Dic61—21no—
200C4⋊Dic61—21no—
201C4⋊Dic61—21no—
202C4⋊Dic61—21no—
203C4⋊Dic61—21no—
204C4⋊Dic61—21no—
205#11758196—42no—
206#11758196—42no—
207#11758196—42no—
208#11758196—81no—
209#11758196—81no—
210#11758196C4⋊C414yes—
211C4×Dic61—42no—
212C4×Dic61—42no—
213C4×Dic61—42no—
214C4×Dic61C22×C412yes—
215C4×Dic61C2×Q812yes—
216C2×#92418—21no—
217C2×#92418—21no—
218C2×#92418—21no—
219C2×#92418—21no—
220C2×#92418C22×C412yes—
221C2×#92418C22×C412yes—
222#11758189—28no—
223C23×C61—21no—
224C23×C61—21no—
225C23×C61—21no—
226C23×C61—21no—
227C23×C61—21no—
228C23×C61—21no—
229C23×C61C2×C4⋊C412yes—
230C23×C61C22×D411yescharacteristic
231C22×D61—21no—
232C22×D61—21no—
233C22×D61—21no—
234C22×D61—21no—
235C22×D61—21no—
236C22×D61—21no—
237C22×D61C2×C4⋊C412yes—
238C2×C4×C61—21no—
239C2×C4×C61—21no—
240C2×C4×C61—22no—
241C2×C4×C61—22no—
242C2×C4×C61—22no—
243C2×C4×C61—22no—
244C2×C4×C61—22no—
245C2×C4×C61—22no—
246C2×C4×C61—41no—
247C2×C4×C61—41no—
248C2×C4×C61—41no—
249C2×C4×C61—41no—
250C2×C4×C61—41no—
251C2×C4×C61—41no—
252C2×C4×C61—41no—
253C2×C4×C61—41no—
254C2×C4×C61—41no—
255C2×C4×C61—41no—
256C2×C4×C61—84no—
257C2×C4×C61C2×C4⋊C412yes—
258C2×C4×C61C23×C411yescharacteristic
259C2×C4×C61C22×D411yescharacteristic
260C2×C4×C61C22×Q811yescharacteristic
261C2×C4×C61C2×#4111yescharacteristic
262C2×C4×C61H(5,𝔽2)11yescharacteristic
263C2×C4×C612−1+411yescharacteristic
264C22⋊D61—28no—
265C2×Dic61—21no—
266C2×Dic61—21no—
267C2×Dic61—21no—
268C2×Dic61—21no—
269C2×Dic61—41no—
270C2×Dic61—41no—
271C2×Dic61—41no—
272C2×Dic61—41no—
273C2×Dic61—41no—
274C2×Dic61—41no—
275C2×Dic61—41no—
276C2×Dic61—41no—
277C2×Dic61—41no—
278C2×Dic61—41no—
279C2×Dic61—41no—
280C2×Dic61—41no—
281C2×Dic61C2×C4⋊C412yes—
282C2×Dic61C2×C4⋊C412yes—
283C2×Dic61C2×C4⋊C412yes—
284C2×Dic61AGL(1,ℤ/8)12yes—
285C2×Dic61#13712yes—
286C4×D61—22no—
287C4×D61—22no—
288C4×D61—22no—
289C4×D61—22no—
290C4×D61—84no—
291C8×C61—22no—
292C8×C61C4×D414yescomplemented
293#92418—22no—
294#92418—22no—
295#22665—611nomaximal, Sylow
296C22×C61—22no—
297C22×C61—22no—
298C22×C61—22no—
299C22×C61—41no—
300C22×C61—41no—
301C22×C61—41no—
302C22×C61—41no—
303C22×C61C22×C4⋊C411yescharacteristic
304C22×C61D4211yescharacteristic
305C22×C61#54711yescharacteristic
306C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
307C22×C61C2×#13711yescharacteristic
308C22×C61#57611yescharacteristic
309C22×C61#57811yescharacteristic
310C2×D61—22no—
311C2×D61—22no—
312C2×D61—22no—
313C2×D61—41no—
314C2×D61—41no—
315C2×D61—41no—
316C2×D61—41no—
317C4×C61—22no—
318C4×C61—42no—
319C4×C61—42no—
320C4×C61—81no—
321C4×C61—81no—
322C4×C61C2×C4×D411yescharacteristic
323C4×C61#52011yescharacteristic
324C4×C61D4×Q811yescharacteristic
325C4×C61#55411yescharacteristic
326Dic61—22no—
327Dic61—22no—
328Dic61—81no—
329Dic61—81no—
330Dic61—81no—
331Dic61—81no—
332Dic61#42814yescomplemented
333C2×#436—611no—
334C2×#428—611no—
335C2×#428D6111yescharacteristic, complemented
336#2354—611no—
337D4×C4⋊C4—611no—
338#1948—611no—
339#1947—611no—
340#1854—611no—
341#1854—611no—
342#1852—611no—
343#1852—611no—
344#1845—611no—
345#1809—611no—
346#1809—611no—
347C4×#106—611no—
348C2×C61—42no—
349C2×C61D4×C4⋊C411yescharacteristic
350C2×C61C2×#42811yescharacteristic
351C2×C61#291311yescharacteristic
352C2×C61#327411yescharacteristic
353C2×C61#327611yescharacteristic
354C2×C61#335311yescharacteristic
355C2×C61#335711yescharacteristic
356D61—42no—
357C22×M16—611no—
358C22×M16C2×D6111yescharacteristic
359C2×C4×D4—611no—
360C2×C4×D4—1221no—
361C2×#117—611no—
362C2×#117C2×D6111yescharacteristic
363C22×C4⋊C4—611no—
364C22×C4⋊C4C2×D6111yescharacteristic
365#436—618no—
366#428—24no—
367#428—1224no—
368C2×#107—611no—
369C2×#107—611no—
370C2×#107—611no—
371C2×#107—611no—
372C2×#107C2×D6111yescharacteristic
373C2×#107C2×D6111yescharacteristic
374C2×#106—611no—
375C2×#106—611no—
376C2×#106C2×D6111yescharacteristic
377C2×#106C2×D6111yescharacteristic
378C2×C4⋊C8—611no—
379C2×C22⋊C8—611no—
380C2×C22⋊C8—611no—
381C2×C4×C8—611no—
382#390—1221no—
383#389—1221no—
384#388—1221no—
385#388—1221no—
386#385—1221no—
387#385—1221no—
388#384—611no—
389#384—611no—
390#380—611no—
391#380—611no—
392#380—611no—
393#380—611no—
394C4×C4⋊C4—611no—
395C4×C4⋊C4—611no—
396C4×C4⋊C4—1221no—
397#340—611no—
398#340—611no—
399#340—611no—
400#340—611no—
401#340—611no—
402#340—611no—
403C61#2266511yescharacteristic, complemented, Sylow
404C22×D4—611no—
405C23×C4—21no—
406C23×C4—611no—
407C23×C4—1221no—
408C23×C4C22×D6111yescharacteristic
409C2×M16—22no—
410C2×M16—22no—
411C2×M16—614no—
412C2×M16—1222no—
413C2×M16—1222no—
414C2×M16C4×D6114yescomplemented
415C22×C8—611no—
416C22×C8—611no—
417C22×C8C22×D6111yescharacteristic
418C22×C8C22×D6111yescharacteristic
419C4×D4—614no—
420C4×D4—614no—
421C4×D4—2444no—
422#117—22no—
423#117—41no—
424#117—1222no—
425#117—2441no—
426C2×C4⋊C4—22no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—41no—
429C2×C4⋊C4—611no—
430C2×C4⋊C4—611no—
431C2×C4⋊C4—611no—
432C2×C4⋊C4—611no—
433C2×C4⋊C4—611no—
434C2×C4⋊C4—1222no—
435C2×C4⋊C4—1221no—
436C2×C4⋊C4—1221no—
437C2×C4⋊C4—1221no—
438C2×C4⋊C4—1221no—
439C2×C4⋊C4—1221no—
440C2×C4⋊C4—2441no—
441C2×C4⋊C4C22×D6111yescharacteristic
442C2×C4⋊C4C22×D6111yescharacteristic
443C2×C4⋊C4C22×D6111yescharacteristic
444C2×C4⋊C4C22×D6111yescharacteristic
445C2×C22⋊C4—21no—
446C2×C22⋊C4—611no—
447C2×C22⋊C4—611no—
448C2×C22⋊C4—1221no—
449C2×C22⋊C4—1221no—
450C2×C22⋊C4—1221no—
451C2×C22⋊C4—1221no—
452C2×C22⋊C4—1221no—
453C2×C42—21no—
454C2×C42—611no—
455C2×C42—1221no—
456C2×C42—1221no—
457C2×C42—1221no—
458#107—22no—
459#107—22no—
460#107—1222no—
461#107—1222no—
462#107—2441no—
463#107—2441no—
464#106—22no—
465#106—1222no—
466#106—1222no—
467#106C22⋊D6114yescomplemented
468C4⋊C8—614no—
469C22⋊C8—614no—
470C22⋊C8—614no—
471C4×C8—614no—
472#95—1221no—
473#95—1221no—
474#95—1221no—
475#95—1221no—
476#95—1221no—
477#95—1221no—
478C24—611no—
479C24D4×D6111yescharacteristic
480C2×D4—614no—
481C2×D4—1222no—
482C2×D4—1222no—
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—42no—
492C22×C4—42no—
493C22×C4—81no—
494C22×C4—611no—
495C22×C4—611no—
496C22×C4—611no—
497C22×C4—612no—
498C22×C4—612no—
499C22×C4—1221no—
500C22×C4—1221no—
501C22×C4—1221no—
502C22×C4—1221no—
503C22×C4—1221no—
504C22×C4—1221no—
505C22×C4—1221no—
506C22×C4—1221no—
507C22×C4—4881no—
508C22×C4—2442no—
509C22×C4—2442no—
510C22×C4C2×C4×D6112yes—
511C22×C4D4×D6111yescharacteristic
512C22×C4Q8×D6112yes—
513C22×C4C23×D6111yescharacteristic
514M16—28no—
515M16—1228no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—612no—
519C2×C8—612no—
520C2×C8—1221no—
521C2×C8—1221no—
522C2×C8—1221no—
523C2×C8—1221no—
524C2×C8C2×C4×D6112yes—
525C2×C8C2×C4×D6112yes—
526C2×C8#1175822212yes—
527C2×C8C2×C22⋊D6112yes—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—42no—
535C4⋊C4—614no—
536C4⋊C4—1221no—
537C4⋊C4—1221no—
538C4⋊C4—1221no—
539C4⋊C4—1221no—
540C4⋊C4—1221no—
541C4⋊C4—1221no—
542C4⋊C4—1221no—
543C4⋊C4—1221no—
544C4⋊C4—4881no—
545C4⋊C4—4881no—
546C4⋊C4—2442no—
547C4⋊C4—2442no—
548C4⋊C4—2442no—
549C4⋊C4C2×C22⋊D6112yes—
550C4⋊C4C2×C22⋊D6112yes—
551C22⋊C4—42no—
552C22⋊C4—614no—
553C22⋊C4—614no—
554C22⋊C4—4881no—
555C22⋊C4—4881no—
556C22⋊C4—2442no—
557C22⋊C4—2442no—
558C22⋊C4—2442no—
559C42—42no—
560C42—612no—
561C42—612no—
562C42—2442no—
563C42—2442no—
564C42—2442no—
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—612no—
572C23—1221no—
573C23—1221no—
574C23—1221no—
575C23—1221no—
576C23—1221no—
577C23—1221no—
578C23C4⋊C4×D6112yes—
579C23C2×D4×D6111yescharacteristic
580D4—1228no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—84no—
600C2×C4—612no—
601C2×C4—612no—
602C2×C4—612no—
603C2×C4—612no—
604C2×C4—612no—
605C2×C4—1221no—
606C2×C4—1221no—
607C2×C4—1221no—
608C2×C4—1221no—
609C2×C4—1222no—
610C2×C4—1222no—
611C2×C4—1222no—
612C2×C4—1222no—
613C2×C4—4884no—
614C2×C4—2441no—
615C2×C4—2441no—
616C2×C4—2441no—
617C2×C4—2441no—
618C2×C4—2441no—
619C2×C4—2441no—
620C2×C4—2441no—
621C2×C4—2441no—
622C2×C4—2441no—
623C2×C4—2441no—
624C2×C4—2441no—
625C2×C4—2441no—
626C2×C4C4⋊C4×D6112yes—
627C2×C4C22×C4×D6111yescharacteristic
628C2×C4C22×C22⋊D6111yescharacteristic
629C2×C4C2×Q8×D6111yescharacteristic
630C2×C4C2×#1175822211yescharacteristic
631C2×C4#1451982211yescharacteristic
632C2×C4#1451982511yescharacteristic
633C8—22no—
634C8—1222no—
635C8—1222no—
636C8C4×C22⋊D6114yescomplemented
637C22—22no—
638C22—22no—
639C22—22no—
640C22—41no—
641C22—41no—
642C22—41no—
643C22—41no—
644C22—1222no—
645C22—1222no—
646C22—1222no—
647C22—2441no—
648C22—2441no—
649C22—2441no—
650C22—2441no—
651C22C2×C4⋊C4×D6111yescharacteristic
652C22D4×C22⋊D6111yescharacteristic
653C22#1684041311yescharacteristic
654C22AGL(1,ℤ/8)×D6111yescharacteristic
655C22#137×D6111yescharacteristic
656C22#1684056611yescharacteristic
657C22#1684057811yescharacteristic
658C4—22no—
659C4—42no—
660C4—42no—
661C4—81no—
662C4—81no—
663C4—614no—
664C4—1222no—
665C4—1222no—
666C4—4881no—
667C4—4881no—
668C4—4881no—
669C4—4881no—
670C4C2×C4×C22⋊D6111yescharacteristic
671C4#1684024311yescharacteristic
672C4Q8×C22⋊D6111yescharacteristic
673C4#1684046711yescharacteristic
674C2—42no—
675C2—2442no—
676C2C4⋊C4×C22⋊D6111yescharacteristic
677C2#428×D6111yescharacteristic
678C2#2145441811yescharacteristic
679C2#2145743311yescharacteristic
680C2#2145745911yescharacteristic
681C2#2145839911yescharacteristic
682C2#2145844111yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC2×C61×#428C2
socleC23×C61C22×D4
prime radicalC22×C22⋊D61D4
cosocleC22×C4×C61C24
hypercenterC2×#428D61
hypocenterC61#22665
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
2. C2×#16839801C2semidirect
5. #21446579C2semidirect
6. #21446574C2semidirect
7. #21446018C2semidirect
8. #21446017C2semidirect
9. #21446007C2semidirect
10. #21446005C2semidirect
11. #21445977C2semidirect
12. #21445853C2semidirect
13. #21445852C2semidirect
14. #106×Dic61C2semidirect
15. C2×C61×#428C2semidirect
21. #16839838C4semidirect
67. C2×#11758189C2×C4semidirect
104. #14519706C2×C4semidirect
105. C22⋊#92418C2×C4semidirect
106. #14519689C2×C4semidirect
107. C8×Dic61C2×C4semidirect
118. C2×M16×C61C2×C4semidirect
135. #106×C61D4semidirect
292. C8×C61C4×D4semidirect
332. Dic61#428semidirect
335. C2×#428D61semidirect
403. C61#22665semidirect
414. C2×M16C4×D61semidirect
467. #106C22⋊D61semidirect
636. C8C4×C22⋊D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168398382
C2×#168398012
#214487692
C4⋊C4×C22⋊D612
#214465792
#214465742
#214460182
#214460172
#214460072
#214460052
#214459772
#214458532
#214458522
#106×Dic612
C2×C61×#4282
#2266561