Finite Group Databasebeta

← #30564845

Subgroups — #30564845

Order 15616.

2234 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
1C2×#16840408C211yesmaximal, characteristic
2#21457894C218yesmaximal, complemented
3#21457330C218yesmaximal, complemented
4#21456818C212yesmaximal, complemented
5#21456621C212yesmaximal, complemented
6#21456591C212yesmaximal, complemented
7#21455914C212yesmaximal, complemented
8#21455077C212yesmaximal, complemented
9C2×#16839912C212yesmaximal, complemented
10#21454848C211yesmaximal, characteristic, complemented
11C61×#3501C211yesmaximal, characteristic, complemented
12C22×#11758222C2211yescharacteristic
13C23×D244C2211yescharacteristic
14C2×#14519808C2214yescomplemented
15C22×#11758201C2214yescomplemented
16#16840408—24no—
17#16840408C2218yes—
18C2×#14519765C2211yescharacteristic
19C2×#14519762—21no—
20C2×#14519756C2211yescharacteristic
21C2×#14519751C2211yescharacteristic
22C2×#14519750—21no—
23C2×#14519745—21no—
24C2×C4×D244C2211yescharacteristic
25C2×C22⋊C4×D61—21no—
26#16840154C2214yescomplemented
27#16840124C2214yescomplemented
28#16840097C2214yescomplemented
29#16840095C2214yescomplemented
30#16840075C2214yescomplemented
31#16840039C2214yescomplemented
32#16840010C2218yescomplemented
33#16840001C2218yescomplemented
34#16839984C2218yescomplemented
35#16839964C2214yescomplemented
36#16839922C2218yescomplemented
37#16839918C2214yescomplemented
38#16839917C2214yescomplemented
39#16839912C2214yes—
40#16839912C2214yes—
41#16839912C2218yescomplemented
42#16839901C2214yescomplemented
43#16839860C2218yescomplemented
44#16839834C2218yescomplemented
45#16839819C2212yescomplemented
46#16839761C2214yescomplemented
47C2×#14519697C2214yescomplemented
48#16839726C2212yescomplemented
49C2×C22⋊#92418C2212yes—
50C61×#554—24no—
51C61×#554C2214yescomplemented
52D4×Q8×C61C2214yescomplemented
53C61×#544—21no—
54C61×#543—21no—
55C61×#543—21no—
56C61×#533C2212yescomplemented
57C2×C22⋊Q8×C61C2212yes—
58C2×C22⋊Q8×C61C2212yescomplemented
59C61×#518—21no—
60C2×C4×D4×C61C2211yescharacteristic
61C24×D61—21no—
62C2×#11758222—22no—
63C2×#11758222—44no—
64C2×#11758222C2314yes—
65C22×Dic122C2311yescharacteristic
66C22×D244—21no—
67C22×D244—22no—
68C22×D244—44no—
69C22×D244C2311yescharacteristic
70C22×D244C2314yes—
71C22×D244C2311yescharacteristic
72C22×C22⋊D61—21no—
73C22×C22⋊D61—21no—
74C22×C4×D61—21no—
75C22×C4×D61—21no—
76#14519808—48no—
77C2×#11758202C2318yescomplemented
78C2×#11758201—48no—
79C2×#11758201C2318yes—
80C2×#11758201C2318yes—
81C2×#11758194C2314yescomplemented
82C22×#92418C2314yes—
83#14519765—22no—
84#14519765C2314yes—
85#14519762—28no—
86#14519756—22no—
87#14519756C2314yes—
88#14519751—22no—
89#14519751C2314yes—
90#14519750—28no—
91#14519745—28no—
92C4×D244—22no—
93C4×D244C2314yes—
94C2×C4⋊Dic61C2311yescharacteristic
95C2×#11758196—21no—
96C2×C22⋊Dic61—21no—
97C2×#11758198—21no—
98C2×#11758198—21no—
99C2×#11758198—21no—
100C2×#11758198—21no—
101C22⋊C4×D61—28no—
102#14519710C2318yescomplemented
103C4⋊#92418C2314yescomplemented
104#14519701C2318yescomplemented
105#14519700C2318yescomplemented
106#14519697C2318yes—
107#14519697C2318yes—
108C22⋊#92418C2314yes—
109C22⋊#92418C2314yes—
110C22⋊#92418C2314yescomplemented
111#14519688C2314yescomplemented
112C22×Q8×C61C2312yes—
113C22×Q8×C61C2312yescomplemented
114C22×D4×C61D411yescharacteristic
115C23×C4×C61C2311yescharacteristic
116C23×C4×C61C2311yescharacteristic
117C4⋊Q8×C61—24no—
118C4⋊Q8×C61C2312yescomplemented
119C4⋊Q8×C61C2312yescomplemented
120#125×C61—24no—
121#125×C61—22no—
122C22⋊Q8×C61—22no—
123C22⋊Q8×C61—22no—
124C22⋊Q8×C61—22no—
125C22⋊Q8×C61—22no—
126C22⋊Q8×C61—22no—
127C22⋊Q8×C61—24no—
128C22⋊Q8×C61—24no—
129C22⋊Q8×C61—24no—
130C22⋊Q8×C61—24no—
131C22⋊Q8×C61C2314yes—
132C22⋊Q8×C61C2314yes—
133C22⋊Q8×C61C2314yescomplemented
134C4×Q8×C61—22no—
135C4×Q8×C61C2314yescomplemented
136C4×D4×C61—24no—
137C4×D4×C61—24no—
138C4×D4×C61D414yes—
139C4×D4×C61C2314yes—
140#117×C61—22no—
141C2×C4⋊C4×C61—22no—
142C2×C4⋊C4×C61—22no—
143C2×C4⋊C4×C61D411yescharacteristic
144C2×C4⋊C4×C61C2312yes—
145C2×C4⋊C4×C61C2312yescomplemented
146C2×C22⋊C4×C61—22no—
147C2×C22⋊C4×C61—22no—
148C2×C22⋊C4×C61D411yescharacteristic
149C2×C22⋊C4×C61D411yescharacteristic
150C2×C42×C61C2311yescharacteristic
151C24×C61C2×D411yescharacteristic
152C24×C61C2×D411yescharacteristic
153C23×D61—21no—
154C23×D61—21no—
155C23×D61—24no—
156C23×D61—44no—
157C23×D61—44no—
158C23×D61—82no—
159C2×Q8×C61—22no—
160C2×Q8×C61—22no—
161C2×Q8×C61—22no—
162C2×Q8×C61—44no—
163C2×Q8×C61—44no—
164C2×Q8×C61C2414yes—
165C2×D4×C61—24no—
166C2×D4×C61C2×D414yes—
167C22×C4×C61—22no—
168C22×C4×C61—22no—
169C22×C4×C61—22no—
170C22×C4×C61—22no—
171C22×C4×C61—42no—
172C22×C4×C61—42no—
173C22×C4×C61C2×D411yescharacteristic
174C22×C4×C61C2×D411yescharacteristic
175C22×C4×C61C2×D411yescharacteristic
176C22×C4×C61C2×D411yescharacteristic
177C22×C4×C61C2×D412yes—
178C22×C4×C61C2×D412yes—
179C22×C4×C61C2411yescharacteristic
180C22×C4×C61C2412yes—
181C22×C4×C61C2412yes—
182C2×C22⋊D61—24no—
183C2×C22⋊D61—24no—
184C2×C22⋊D61—44no—
185C2×C22⋊D61—82no—
186C22×Dic61—21no—
187C22×Dic61—21no—
188#11758222—28no—
189#11758222—44no—
190#11758222—48no—
191C2×D244—21no—
192C2×D244—24no—
193C2×D244—28no—
194C2×D244—24no—
195C2×D244—21no—
196C2×D244—44no—
197C2×D244—42no—
198C2×D244—48no—
199C2×D244—44no—
200C2×D244C2412yes—
201C2×D244C2412yes—
202C2×C4×D61—24no—
203C2×C4×D61—24no—
204C2×C4×D61—44no—
205C2×C4×D61—82no—
206C2×Dic122—21no—
207C2×Dic122—42no—
208C2×Dic122C2412yes—
209C4⋊C4×C61—24no—
210C4⋊C4×C61—24no—
211C4⋊C4×C61—24no—
212C4⋊C4×C61—22no—
213C4⋊C4×C61—22no—
214C4⋊C4×C61—22no—
215C4⋊C4×C61—22no—
216C4⋊C4×C61—22no—
217C4⋊C4×C61—24no—
218C4⋊C4×C61C2×D414yes—
219C4⋊C4×C61C2414yes—
220C22⋊C4×C61—24no—
221C22⋊C4×C61—24no—
222C22⋊C4×C61—24no—
223C22⋊C4×C61C2×D414yes—
224C22⋊C4×C61C2×D414yes—
225C42×C61—24no—
226C42×C61C2×D412yes—
227C42×C61C2412yes—
228C22⋊Dic61—24no—
229#11758202—48no—
230#11758201—216no—
231#11758201—48no—
232#11758198—24no—
233#11758198—24no—
234#11758198—24no—
235#11758198—24no—
236C4⋊Dic61—21no—
237C4⋊Dic61C2412yes—
238#11758196—24no—
239#11758194—44no—
240C2×#92418—44no—
241C2×#92418C2418yes—
242C23×C61—22no—
243C23×C61—41no—
244C23×C61—41no—
245C23×C61—41no—
246C23×C61—41no—
247C23×C61#13714yescomplemented
248C23×C61C22×D412yes—
249C23×C61C22×D412yes—
250C23×C61C22×D411yescharacteristic
251C22×D61—24no—
252C22×D61—22no—
253C22×D61—22no—
254C22×D61—48no—
255C22×D61—42no—
256C22×D61—42no—
257C22×D61—42no—
258C22×D61—42no—
259C22×D61—48no—
260C22×D61—42no—
261C22×D61—84no—
262C22×D61—816no—
263Q8×C61—28no—
264Q8×C61—82no—
265Q8×C61—82no—
266Q8×C61—82no—
267D4×C61—28no—
268C2×C4×C61—22no—
269C2×C4×C61—24no—
270C2×C4×C61—24no—
271C2×C4×C61—22no—
272C2×C4×C61—24no—
273C2×C4×C61—24no—
274C2×C4×C61—41no—
275C2×C4×C61—41no—
276C2×C4×C61—42no—
277C2×C4×C61—41no—
278C2×C4×C61—42no—
279C2×C4×C61—82no—
280C2×C4×C61—82no—
281C2×C4×C61—82no—
282C2×C4×C61—82no—
283C2×C4×C61C22×D412yes—
284C2×C4×C61C22×D411yescharacteristic
285C2×C4×C61C22×D412yes—
286C2×C4×C61C22×D412yes—
287C2×C4×C61C22×D412yes—
288C2×C4×C61C2511yescharacteristic
289C22⋊D61—48no—
290C22⋊D61—84no—
291C2×Dic61—22no—
292C2×Dic61—22no—
293C2×Dic61—42no—
294C2×Dic61—42no—
295D244—24no—
296D244—22no—
297D244—24no—
298D244—48no—
299D244—42no—
300D244H(5,𝔽2)14yes—
301C4×D61—48no—
302C4×D61—84no—
303Dic122—24no—
304Dic122—42no—
305#92418—28no—
306#61570—611nomaximal, Sylow
307C22×C61—21no—
308C22×C61—22no—
309C22×C61—21no—
310C22×C61—22no—
311C22×C61—22no—
312C22×C61—22no—
313C22×C61—22no—
314C22×C61—44no—
315C22×C61—82no—
316C22×C61C2×#13712yes—
317C22×C61C2×#13714yes—
318C22×C61C23×D411yescharacteristic
319C2×D61—24no—
320C2×D61—48no—
321C2×D61—42no—
322C2×D61—42no—
323C2×D61—42no—
324C2×D61—42no—
325C2×D61—42no—
326C2×D61—816no—
327C2×D61—84no—
328C4×C61—22no—
329C4×C61—21no—
330C4×C61—22no—
331C4×C61—22no—
332C4×C61—22no—
333C4×C61—44no—
334C4×C61—44no—
335C4×C61C2×H(5,𝔽2)12yes—
336Dic61—42no—
337Dic61—42no—
338#3501D6111yescharacteristic, complemented
339C2×#546—611no—
340#3314—618no—
341#3266—618no—
342#3215—612no—
343#3193—612no—
344#3189—612no—
345#3110—612no—
346#3007—612no—
347C2×#450—612no—
348#2973—611no—
349C2×C61—22no—
350C2×C61—24no—
351C2×C61—42no—
352C2×C61#348411yescharacteristic
353C2×C61C22×#13711yescharacteristic
354C2×C61#358511yescharacteristic
355D61—44no—
356D61—82no—
357C22×#41—611no—
358C23×D4—611no—
359C2×#137—614no—
360C22×SD16—614no—
361#554—24no—
362#554C2×D6114yescomplemented
363D4×Q8C2×D6114yescomplemented
364#546—618no—
365#546—1224no—
366#544—21no—
367#543—21no—
368#543—21no—
369#533C2×D6112yescomplemented
370C2×#124—611no—
371C2×#123—1221no—
372C2×C22⋊Q8—611no—
373C2×C22⋊Q8C2×D6112yes—
374C2×C22⋊Q8C2×D6112yescomplemented
375C2×#121—611no—
376C2×#121—1221no—
377C2×#120—1221no—
378#518—21no—
379C2×C4×D4—611no—
380C2×C4×D4C2×D6111yescharacteristic
381C22×C22⋊C4—1221no—
382#497—614no—
383#489—614no—
384#484—614no—
385#484—614no—
386#480—614no—
387#474—614no—
388#468—618no—
389#467—618no—
390#464—618no—
391#461—614no—
392#452—618no—
393#451—614no—
394#451—614no—
395#450—614no—
396#450—614no—
397#450—618no—
398#448—614no—
399#440—618no—
400#435—618no—
401#432—612no—
402#417—614no—
403C2×#102—614no—
404#407—612no—
405C2×C22⋊C8—612no—
406C61#6157011yescharacteristic, complemented, Sylow
407C25—1221no—
408C2×#41—614no—
409C2×#41—1222no—
410C2×#41—2444no—
411C22×Q8—611no—
412C22×Q8C22×D6112yes—
413C22×Q8C22×D6112yescomplemented
414C22×D4—611no—
415C22×D4—614no—
416C22×D4—611no—
417C22×D4—1221no—
418C22×D4—1221no—
419C22×D4—1221no—
420C22×D4—1222no—
421C22×D4—2444no—
422C22×D4C22⋊D6111yescharacteristic
423C23×C4—1221no—
424C23×C4—1221no—
425C23×C4C22×D6111yescharacteristic
426C23×C4C22×D6111yescharacteristic
427#137—2448no—
428C2×Q16—618no—
429C2×SD16—618no—
430C2×SD16—618no—
431C2×SD16—2448no—
432C2×M16—614no—
433C22×C8—614no—
434C4⋊Q8—24no—
435C4⋊Q8C22×D6112yescomplemented
436C4⋊Q8C22×D6112yescomplemented
437#125—24no—
438#125—22no—
439#124—614no—
440#124—1222no—
441#123—1228no—
442C22⋊Q8—22no—
443C22⋊Q8—22no—
444C22⋊Q8—22no—
445C22⋊Q8—22no—
446C22⋊Q8—22no—
447C22⋊Q8—24no—
448C22⋊Q8—24no—
449C22⋊Q8—24no—
450C22⋊Q8—24no—
451C22⋊Q8—614no—
452C22⋊Q8—1222no—
453C22⋊Q8C22×D6114yes—
454C22⋊Q8C22×D6114yes—
455C22⋊Q8C22×D6114yescomplemented
456#121—614no—
457#121—1222no—
458#121—1228no—
459#120—1228no—
460C4×Q8—22no—
461C4×Q8C22×D6114yescomplemented
462C4×D4—24no—
463C4×D4—24no—
464C4×D4—614no—
465C4×D4—1222no—
466C4×D4C22⋊D6114yes—
467C4×D4C22×D6114yes—
468#117—22no—
469C2×C4⋊C4—22no—
470C2×C4⋊C4—22no—
471C2×C4⋊C4—611no—
472C2×C4⋊C4—1221no—
473C2×C4⋊C4C22⋊D6111yescharacteristic
474C2×C4⋊C4C22×D6112yes—
475C2×C4⋊C4C22×D6112yescomplemented
476C2×C22⋊C4—22no—
477C2×C22⋊C4—22no—
478C2×C22⋊C4—1221no—
479C2×C22⋊C4—1221no—
480C2×C22⋊C4—1221no—
481C2×C22⋊C4—1221no—
482C2×C22⋊C4—1221no—
483C2×C22⋊C4—1228no—
484C2×C22⋊C4C22⋊D6111yescharacteristic
485C2×C22⋊C4C22⋊D6111yescharacteristic
486C2×C42C22×D6111yescharacteristic
487#107—618no—
488C4⋊C8—614no—
489#103—618no—
490#103—618no—
491#102—618no—
492#102—618no—
493C22⋊C8—614no—
494C22⋊C8—614no—
495C22⋊C8—614no—
496#97—614no—
497C24—1221no—
498C24—1224no—
499C24—1221no—
500C24—4882no—
501C24—2444no—
502C24—2444no—
503C24C2×C22⋊D6111yescharacteristic
504C24C2×C22⋊D6111yescharacteristic
505#41—1228no—
506#41—2444no—
507#41—2448no—
508C2×Q8—22no—
509C2×Q8—22no—
510C2×Q8—22no—
511C2×Q8—44no—
512C2×Q8—44no—
513C2×Q8—612no—
514C2×Q8—1221no—
515C2×Q8—2442no—
516C2×Q8C23×D6114yes—
517C2×D4—24no—
518C2×D4—612no—
519C2×D4—612no—
520C2×D4—1224no—
521C2×D4—1228no—
522C2×D4—1224no—
523C2×D4—1224no—
524C2×D4—1221no—
525C2×D4—1224no—
526C2×D4—1221no—
527C2×D4—4882no—
528C2×D4—2444no—
529C2×D4—2442no—
530C2×D4—2448no—
531C2×D4—2444no—
532C2×D4—2444no—
533C2×D4C2×C22⋊D6114yes—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—42no—
539C22×C4—42no—
540C22×C4—1221no—
541C22×C4—1221no—
542C22×C4—1224no—
543C22×C4—1224no—
544C22×C4—4882no—
545C22×C4—2444no—
546C22×C4C2×C22⋊D6111yescharacteristic
547C22×C4C2×C22⋊D6111yescharacteristic
548C22×C4C2×C22⋊D6111yescharacteristic
549C22×C4C2×C22⋊D6111yescharacteristic
550C22×C4C2×C22⋊D6112yes—
551C22×C4C2×C22⋊D6112yes—
552C22×C4C23×D6111yescharacteristic
553C22×C4C23×D6112yes—
554C22×C4C23×D6112yes—
555Q16—2448no—
556SD16—12216no—
557SD16—2448no—
558M16—2444no—
559C2×C8—618no—
560C2×C8—2444no—
561C4⋊C4—24no—
562C4⋊C4—24no—
563C4⋊C4—24no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—22no—
567C4⋊C4—22no—
568C4⋊C4—22no—
569C4⋊C4—24no—
570C4⋊C4—612no—
571C4⋊C4—1221no—
572C4⋊C4—1224no—
573C4⋊C4C2×C22⋊D6114yes—
574C4⋊C4C23×D6114yes—
575C22⋊C4—24no—
576C22⋊C4—24no—
577C22⋊C4—24no—
578C22⋊C4—1224no—
579C22⋊C4—1224no—
580C22⋊C4—1224no—
581C22⋊C4—1224no—
582C22⋊C4—1224no—
583C22⋊C4C2×C22⋊D6114yes—
584C22⋊C4C2×C22⋊D6114yes—
585C42—24no—
586C42C2×C22⋊D6112yes—
587C42C23×D6112yes—
588C23—22no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—1224no—
594C23—1222no—
595C23—1222no—
596C23—4884no—
597C23—48816no—
598C23—2448no—
599C23—2442no—
600C23—2442no—
601C23—2442no—
602C23—2442no—
603C23—2448no—
604C23—2442no—
605C23#1451980814yescomplemented
606C23C22×C22⋊D6112yes—
607C23C22×C22⋊D6111yescharacteristic
608C23C22×C22⋊D6112yes—
609Q8—28no—
610Q8—82no—
611Q8—82no—
612Q8—82no—
613Q8—1224no—
614Q8—2442no—
615D4—28no—
616D4—614no—
617D4—1224no—
618D4—1222no—
619D4—1224no—
620D4—4884no—
621D4—2448no—
622D4—2442no—
623D4—2448no—
624C2×C4—22no—
625C2×C4—24no—
626C2×C4—24no—
627C2×C4—22no—
628C2×C4—24no—
629C2×C4—24no—
630C2×C4—41no—
631C2×C4—42no—
632C2×C4—41no—
633C2×C4—42no—
634C2×C4—41no—
635C2×C4—82no—
636C2×C4—82no—
637C2×C4—82no—
638C2×C4—82no—
639C2×C4—1222no—
640C2×C4—1222no—
641C2×C4—4884no—
642C2×C4—2448no—
643C2×C4—2442no—
644C2×C4—2442no—
645C2×C4C22×C22⋊D6112yes—
646C2×C4C22×C22⋊D6111yescharacteristic
647C2×C4C22×C22⋊D6112yes—
648C2×C4C22×C22⋊D6112yes—
649C2×C4C22×C22⋊D6112yes—
650C2×C4C24×D6111yescharacteristic
651C8—1228no—
652C22—21no—
653C22—22no—
654C22—21no—
655C22—22no—
656C22—22no—
657C22—22no—
658C22—22no—
659C22—44no—
660C22—82no—
661C22—1224no—
662C22—4884no—
663C22—48816no—
664C22—2448no—
665C22—2442no—
666C22—2442no—
667C22—2442no—
668C22—2442no—
669C22—2442no—
670C22C2×#1451980812yes—
671C22C2×#1451980814yes—
672C22C23×C22⋊D6111yescharacteristic
673C4—22no—
674C4—22no—
675C4—21no—
676C4—22no—
677C4—22no—
678C4—44no—
679C4—44no—
680C4—2442no—
681C4—2442no—
682C4H(5,𝔽2)×D6112yes—
683C2—22no—
684C2—24no—
685C2—42no—
686C2—4882no—
687C2—2444no—
688C2#2145945011yescharacteristic
689C2C22×#1451980811yescharacteristic
690C2#2146059811yescharacteristic
subgroupG/H
centerC22C23×C22⋊D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3501C2
socleC22×C61C23×D4
prime radicalC2×#16840408C2
hypercenter#3501D61
hypocenterC61#61570
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ #3501

Complements

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

NH ≅ G/Ntype
2. #21457894C2semidirect
3. #21457330C2semidirect
4. #21456818C2semidirect
5. #21456621C2semidirect
6. #21456591C2semidirect
7. #21455914C2semidirect
8. #21455077C2semidirect
9. C2×#16839912C2semidirect
10. #21454848C2semidirect
11. C61×#3501C2semidirect
14. C2×#14519808C22semidirect
15. C22×#11758201C22semidirect
26. #16840154C22semidirect
27. #16840124C22semidirect
28. #16840097C22semidirect
29. #16840095C22semidirect
30. #16840075C22semidirect
31. #16840039C22semidirect
32. #16840010C22semidirect
33. #16840001C22semidirect
34. #16839984C22semidirect
35. #16839964C22semidirect
36. #16839922C22semidirect
37. #16839918C22semidirect
38. #16839917C22semidirect
41. #16839912C22semidirect
42. #16839901C22semidirect
43. #16839860C22semidirect
44. #16839834C22semidirect
45. #16839819C22semidirect
46. #16839761C22semidirect
47. C2×#14519697C22semidirect
48. #16839726C22semidirect
51. C61×#554C22semidirect
52. D4×Q8×C61C22semidirect
56. C61×#533C22semidirect
58. C2×C22⋊Q8×C61C22semidirect
77. C2×#11758202C23semidirect
81. C2×#11758194C23semidirect
102. #14519710C23semidirect
103. C4⋊#92418C23semidirect
104. #14519701C23semidirect
105. #14519700C23semidirect
110. C22⋊#92418C23semidirect
111. #14519688C23semidirect
113. C22×Q8×C61C23semidirect
118. C4⋊Q8×C61C23semidirect
119. C4⋊Q8×C61C23semidirect
133. C22⋊Q8×C61C23semidirect
135. C4×Q8×C61C23semidirect
145. C2×C4⋊C4×C61C23semidirect
247. C23×C61#137semidirect
338. #3501D61semidirect
362. #554C2×D61semidirect
363. D4×Q8C2×D61semidirect
369. #533C2×D61semidirect
374. C2×C22⋊Q8C2×D61semidirect
406. C61#61570semidirect
413. C22×Q8C22×D61semidirect
435. C4⋊Q8C22×D61semidirect
436. C4⋊Q8C22×D61semidirect
455. C22⋊Q8C22×D61semidirect
461. C4×Q8C22×D61semidirect
475. C2×C4⋊C4C22×D61semidirect
605. C23#14519808semidirect

Maximal subgroups

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

subgroupindex
C2×#168404082
#214578942
#214573302
#214568182
#214566212
#214565912
#214559142
#214550772
C2×#168399122
#214548482
C61×#35012
#6157061