Finite Group Databasebeta

← #29832823

Subgroups — #29832823

Order 15616.

1252 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
1#21459609C211yesmaximal, characteristic
2#21454277C212yesmaximal, complemented
3#21447492C212yesmaximal, complemented
4#21447487C212yesmaximal, complemented
5#21447486C212yesmaximal, complemented
6#21447483C212yesmaximal, complemented
7C2×#16839557C211yesmaximal, characteristic, complemented
8#354×D61C212yesmaximal, complemented
9C2×C61×#354C211yesmaximal, characteristic, complemented
10C2×#14519825C411yescharacteristic, complemented
11C2×#14519822C2211yescharacteristic
12#16840420—22no—
13#16840405—22no—
14#16840402—22no—
15#16840402—22no—
16#16840336C411yescharacteristic, complemented
17#16840332C411yescharacteristic, complemented
18#16840332C2211yescharacteristic
19#16840330C411yescharacteristic, complemented
20#16840330C2211yescharacteristic
21#16840329C2211yescharacteristic
22#16840312C411yescharacteristic, complemented
23#16840311C411yescharacteristic, complemented
24#16840311C2211yescharacteristic
25#124×D61C411yescharacteristic, complemented
26#124×D61C2211yescharacteristic
27#16840235—22no—
28C4×#11758222C411yescharacteristic, complemented
29#16839734—22no—
30#16839734C2214yes—
31C2×#14519692C2212yes—
32C2×#14519691—22no—
33#99×D61—22no—
34#99×D61C2214yes—
35#16839557C2212yescomplemented
36#16839557C2212yescomplemented
37#16839556C2214yescomplemented
38#16839554C2214yescomplemented
39C2×#124×C61C2211yescharacteristic
40C2×#99×C61C2212yes—
41C61×#354C2212yescomplemented
42C61×#354C2212yescomplemented
43#14519825—42no—
44#14519825—42no—
45#14519822—42no—
46#14519822—42no—
47C2×#11758226—21no—
48C2×#11758226C2×C411yescharacteristic, complemented
49C2×#11758226C2×C411yescharacteristic, complemented
50C2×#11758222—21no—
51C2×#11758222—21no—
52C2×#11758222C2×C411yescharacteristic
53C2×#11758222C2×C411yescharacteristic
54C2×#11758222C2×C411yescharacteristic, complemented
55C2×#11758224C2×C411yescharacteristic
56C2×#11758224D412yes—
57C2×#11758224C2311yescharacteristic
58C2×Q8×D61—21no—
59C2×Q8×D61C2×C411yescharacteristic, complemented
60C2×Q8×D61C2×C411yescharacteristic, complemented
61C22×C22⋊D61D412yes—
62C22×C22⋊D61D412yes—
63C2×D4×D61C2×C411yescharacteristic
64C2×D4×D61D412yes—
65C2×D4×D61C2311yescharacteristic
66#14519777C2×C411yescharacteristic, complemented
67#14519775C2×C411yescharacteristic, complemented
68#14519775C2×C411yescharacteristic, complemented
69#14519774C2×C411yescharacteristic, complemented
70#14519773C2×C411yescharacteristic, complemented
71#14519773C2311yescharacteristic
72#14519766C2×C411yescharacteristic, complemented
73#14519766C2×C411yescharacteristic, complemented
74#14519765C2×C411yescharacteristic, complemented
75#14519765C2×C411yescharacteristic, complemented
76#14519764C2×C411yescharacteristic, complemented
77#14519764C2311yescharacteristic
78#14519763—22no—
79#14519763—22no—
80#14519760—22no—
81#14519759—22no—
82#14519759—22no—
83#14519754—22no—
84#14519754—22no—
85#14519753—22no—
86#14519751—22no—
87#14519750—22no—
88#14519750—22no—
89#14519750—22no—
90#14519750—22no—
91#14519748—22no—
92#14519747—22no—
93#14519747—22no—
94#14519746—22no—
95C4×Dic122—21no—
96C4×D244—21no—
97C4×D244—22no—
98C4×C22⋊D61—21no—
99C4×C22⋊D61—21no—
100C4×C22⋊D61—44no—
101#14519737—22no—
102#14519737—22no—
103#14519737—44no—
104#14519736C2×C411yescharacteristic, complemented
105#14519734C2×C411yescharacteristic, complemented
106#14519734C2×C411yescharacteristic, complemented
107#14519733—24no—
108C2×C22⋊Dic61—22no—
109C22⋊C4×D61—22no—
110C22⋊C4×D61—22no—
111C22⋊C4×D61—24no—
112C42×D61C2×C411yescharacteristic, complemented
113C42×D61C2×C411yescharacteristic, complemented
114#14519692—22no—
115#14519692C2314yes—
116#14519691—24no—
117#14519691—24no—
118C22×Q8×C61C2×C411yescharacteristic, complemented
119C22×D4×C61C2311yescharacteristic
120#124×C61—22no—
121#124×C61C2×C411yescharacteristic, complemented
122#124×C61C2×C411yescharacteristic, complemented
123#124×C61C2311yescharacteristic
124#124×C61C2311yescharacteristic
125C2×C22⋊C4×C61—22no—
126C2×C22⋊C4×C61—22no—
127C2×C42×C61C2×C411yescharacteristic, complemented
128#99×C61—22no—
129#99×C61C2314yes—
130C24×C61C2×D412yes—
131C23×D61C22⋊C412yes—
132C23×D61C2×D412yes—
133C2×Q8×C61—21no—
134C2×Q8×C61—41no—
135C2×Q8×C61—41no—
136C2×Q8×C61C22×C411yescharacteristic
137C2×Q8×C61C22×C411yescharacteristic
138C2×D4×C61—41no—
139C2×D4×C61—41no—
140C2×D4×C61C22×C411yescharacteristic
141C2×D4×C61C2×D412yes—
142C2×D4×C61C2411yescharacteristic
143C22×C4×C61—21no—
144C22×C4×C61—21no—
145C22×C4×C61—42no—
146C22×C4×C61C22×C411yescharacteristic
147C2×C22⋊D61—24no—
148C2×C22⋊D61—24no—
149C2×C22⋊D61—21no—
150C2×C22⋊D61—22no—
151C2×C22⋊D61—22no—
152C2×C22⋊D61—42no—
153C2×C22⋊D61—42no—
154C2×C22⋊D61C22⋊C412yes—
155C2×C22⋊D61C22⋊C412yes—
156C2×C22⋊D61C22⋊C411yescharacteristic
157C2×C22⋊D61C22⋊C412yes—
158C2×C22⋊D61C22⋊C411yescharacteristic
159C2×C22⋊D61C2×D412yes—
160C2×C22⋊D61C2×D412yes—
161C22×Dic61—42no—
162C22×Dic61C22⋊C412yes—
163C22×Dic61C2×D412yes—
164#11758226—42no—
165#11758226—42no—
166#11758226—44no—
167Q8×D61—44no—
168Q8×D61—42no—
169Q8×D61—42no—
170#11758224—44no—
171#11758224—42no—
172#11758224—42no—
173D4×D61—42no—
174D4×D61—42no—
175D4×D61—44no—
176#11758222—22no—
177#11758222—22no—
178#11758222—41no—
179#11758222—41no—
180#11758222—42no—
181#11758222—42no—
182#11758222—42no—
183#11758222—42no—
184#11758222—41no—
185#11758222—41no—
186C2×D244—21no—
187C2×D244—21no—
188C2×D244—22no—
189C2×D244C22⋊C411yescharacteristic
190C2×D244C22×C411yescharacteristic
191C2×D244C22×C411yescharacteristic
192C2×C4×D61—21no—
193C2×C4×D61—21no—
194C2×C4×D61—21no—
195C2×C4×D61—21no—
196C2×C4×D61—21no—
197C2×C4×D61—21no—
198C2×C4×D61—21no—
199C2×C4×D61—44no—
200C2×C4×D61C22⋊C412yes—
201C2×C4×D61C22×C411yescharacteristic
202C2×C4×D61C22×C411yescharacteristic
203C2×Dic122—21no—
204C2×Dic122—21no—
205C2×Dic122C22⋊C411yescharacteristic
206C2×Dic122C22×C411yescharacteristic
207C2×Dic122C22×C411yescharacteristic
208C22⋊C4×C61—22no—
209C22⋊C4×C61—22no—
210C22⋊C4×C61—22no—
211C22⋊C4×C61—22no—
212C22⋊C4×C61—24no—
213C22⋊C4×C61—42no—
214C42×C61—21no—
215C42×C61C22×C411yescharacteristic
216C42×C61C22×C411yescharacteristic
217C22⋊Dic61—22no—
218C22⋊Dic61—21no—
219C22⋊Dic61—22no—
220C22⋊Dic61—24no—
221C22⋊Dic61—42no—
222#11758198—22no—
223#11758198—22no—
224#11758198—22no—
225#11758198—21no—
226#11758198—21no—
227#11758198—22no—
228#11758198—44no—
229C4⋊Dic61—21no—
230C4⋊Dic61—22no—
231#11758196—21no—
232#11758196—21no—
233#11758196—22no—
234#11758196—22no—
235#11758196—44no—
236C4×Dic61—21no—
237C4×Dic61—21no—
238C4×Dic61—44no—
239C4×Dic61C22×C411yescharacteristic
240C4×Dic61C22×C411yescharacteristic
241C23×C61—22no—
242C23×C61—22no—
243C23×C61—82no—
244C23×C61C2×C22⋊C412yes—
245C23×C61C2×C22⋊C411yescharacteristic
246C23×C61C22×D412yes—
247C22×D61—24no—
248C22×D61—21no—
249C22×D61—42no—
250C22×D61—82no—
251C22×D61—82no—
252C22×D61C2×C22⋊C412yes—
253C22×D61C2×C22⋊C411yescharacteristic
254C22×D61C2×C22⋊C411yescharacteristic
255Q8×C61—42no—
256Q8×C61—41no—
257Q8×C61—41no—
258D4×C61—41no—
259D4×C61—42no—
260D4×C61—41no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—21no—
264C2×C4×C61—21no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
269C2×C4×C61—44no—
270C2×C4×C61—81no—
271C2×C4×C61—162no—
272C2×C4×C61C2×C22⋊C411yescharacteristic
273C2×C4×C61C23×C411yescharacteristic
274C22⋊D61—21no—
275C22⋊D61—21no—
276C22⋊D61—22no—
277C22⋊D61—22no—
278C22⋊D61—24no—
279C22⋊D61—24no—
280C22⋊D61—42no—
281C22⋊D61—42no—
282C22⋊D61—41no—
283C22⋊D61—41no—
284C22⋊D61—82no—
285C22⋊D61—82no—
286C22⋊D61#9912yes—
287C22⋊D61#9912yes—
288C2×Dic61—24no—
289C2×Dic61—21no—
290C2×Dic61—21no—
291C2×Dic61—21no—
292C2×Dic61—42no—
293C2×Dic61—44no—
294C2×Dic61—162no—
295C2×Dic61C2×C22⋊C411yescharacteristic
296C2×Dic61C2×C22⋊C412yes—
297C2×Dic61C2×C22⋊C411yescharacteristic
298D244—22no—
299D244—41no—
300D244—41no—
301D244—42no—
302D244—42no—
303D244—82no—
304C4×D61—22no—
305C4×D61—22no—
306C4×D61—42no—
307C4×D61—42no—
308C4×D61—42no—
309C4×D61—42no—
310C4×D61—42no—
311C4×D61—42no—
312C4×D61—81no—
313C4×D61—81no—
314C4×D61—164no—
315Dic122—22no—
316Dic122—41no—
317Dic122—42no—
318Dic122—42no—
319Dic122—41no—
320#33361—611nomaximal, Sylow
321C22×C61—22no—
322C22×C61—22no—
323C22×C61—41no—
324C22×C61—42no—
325C22×C61—42no—
326C22×C61—82no—
327C22×C61—82no—
328C22×C61C2×#9911yescharacteristic
329C22×C61C2×#9911yescharacteristic
330C22×C61C22×C22⋊C411yescharacteristic
331C2×D61—21no—
332C2×D61—22no—
333C2×D61—41no—
334C2×D61—41no—
335C2×D61—42no—
336C2×D61—42no—
337C2×D61—41no—
338C2×D61—84no—
339C2×D61—162no—
340C2×D61C2×#9912yes—
341C4×C61—21no—
342C4×C61—21no—
343C4×C61—41no—
344C4×C61—41no—
345C4×C61—41no—
346C4×C61—41no—
347C4×C61—84no—
348Dic61—21no—
349Dic61—22no—
350Dic61—41no—
351Dic61—41no—
352Dic61—41no—
353Dic61—84no—
354Dic61C2×#9912yes—
355#3500—611no—
356#2883—612no—
357#2129—612no—
358#2127—612no—
359#2127—612no—
360#2126—612no—
361C2×#354—612no—
362C2×#354—611no—
363C2×#354D6111yescharacteristic, complemented
364C2×C61—21no—
365C2×C61—21no—
366C2×C61—21no—
367C2×C61—42no—
368C2×C61—42no—
369C2×C61C22×#9911yescharacteristic
370D61—22no—
371D61—42no—
372D61—41no—
373D61—81no—
374C2×2−1+4—611no—
375C2×H(5,𝔽2)—611no—
376#548—1222no—
377#546—1222no—
378#546—1222no—
379#546—1222no—
380#536—611no—
381#536—611no—
382#536—611no—
383#535—611no—
384#535—611no—
385#535—611no—
386#532—611no—
387#532—611no—
388#532—611no—
389C2×#124—611no—
390C2×#124—611no—
391C2×#124C2×D6111yescharacteristic
392#518—1222no—
393C4×#41—611no—
394#410—614no—
395#410—1222no—
396C2×#99—612no—
397C2×#99—614no—
398C2×#99—1222no—
399C2×#99—1222no—
400C2×#99C2×D6112yes—
401#354—612no—
402#354—612no—
403#354—614no—
404#354C2×D6112yescomplemented
405#354C2×D6112yescomplemented
406#353—614no—
407C61#3336111yescharacteristic, complemented, Sylow
4082−1+4—2442no—
4092−1+4—2442no—
410H(5,𝔽2)—2442no—
411H(5,𝔽2)—2442no—
412C2×#41—611no—
413C2×#41—612no—
414C2×#41—611no—
415C2×#41—611no—
416C2×#41—611no—
417C2×#41—611no—
418C2×#41—611no—
419C2×#41—611no—
420C2×#41—1221no—
421C2×#41—1221no—
422C2×#41—1221no—
423C22×Q8—611no—
424C22×Q8—611no—
425C22×Q8—1221no—
426C22×Q8C4×D6111yescharacteristic, complemented
427C22×D4—612no—
428C22×D4—612no—
429C22×D4—611no—
430C22×D4—612no—
431C22×D4—611no—
432C22×D4C22×D6111yescharacteristic
433C4⋊Q8—611no—
434C4⋊Q8—611no—
435C4⋊Q8—611no—
436#127—611no—
437#127—611no—
438#127—611no—
439#124—22no—
440#124—611no—
441#124—611no—
442#124—611no—
443#124—611no—
444#124—611no—
445#124—611no—
446#124—1222no—
447#124—1222no—
448#124C4×D6111yescharacteristic, complemented
449#124C4×D6111yescharacteristic, complemented
450#124C22×D6111yescharacteristic
451#124C22×D6111yescharacteristic
452#123—1222no—
453#123—1222no—
454#123—1222no—
455C22⋊Q8—1222no—
456C22⋊Q8—1222no—
457C22⋊Q8—1222no—
458#121—1222no—
459#121—1222no—
460#121—1222no—
461#121—1222no—
462#121—1222no—
463#121—1222no—
464#120—1222no—
465#120—1222no—
466#120—1222no—
467C4×Q8—1221no—
468C4×D4—1222no—
469C4×D4—1221no—
470C4×D4—1222no—
471C4×D4—1222no—
472C4×D4—1221no—
473C4×D4—1221no—
474C4×D4—2444no—
475C4×D4—2444no—
476#117—611no—
477#117—611no—
478#117—611no—
479#117—1224no—
480C2×C22⋊C4—22no—
481C2×C22⋊C4—22no—
482C2×C22⋊C4—1222no—
483C2×C22⋊C4—1222no—
484C2×C22⋊C4—1224no—
485C2×C22⋊C4—1222no—
486C2×C42—611no—
487C2×C42—611no—
488C2×C42C4×D6111yescharacteristic, complemented
489#99—22no—
490#99—614no—
491#99—1224no—
492#99—1224no—
493#99—1222no—
494#99C22×D6114yes—
495C24—612no—
496C24—612no—
497C24D4×D6112yes—
498#41—1222no—
499#41—1222no—
500#41—2441no—
501#41—2441no—
502#41—2441no—
503#41—2441no—
504#41—2442no—
505#41—2442no—
506#41—2442no—
507#41—2442no—
508#41—2442no—
509#41—2442no—
510#41—2444no—
511#41—2442no—
512#41—2442no—
513#41—2444no—
514C2×Q8—21no—
515C2×Q8—41no—
516C2×Q8—41no—
517C2×Q8—611no—
518C2×Q8—611no—
519C2×Q8—611no—
520C2×Q8—1221no—
521C2×Q8—1221no—
522C2×Q8—2442no—
523C2×Q8—2442no—
524C2×Q8—2444no—
525C2×Q8C2×C4×D6111yescharacteristic
526C2×Q8C2×C4×D6111yescharacteristic
527C2×D4—41no—
528C2×D4—41no—
529C2×D4—611no—
530C2×D4—612no—
531C2×D4—612no—
532C2×D4—611no—
533C2×D4—612no—
534C2×D4—612no—
535C2×D4—612no—
536C2×D4—611no—
537C2×D4—611no—
538C2×D4—611no—
539C2×D4—1222no—
540C2×D4—1221no—
541C2×D4—1221no—
542C2×D4—1224no—
543C2×D4—1224no—
544C2×D4—1222no—
545C2×D4—1222no—
546C2×D4—1221no—
547C2×D4—2442no—
548C2×D4—2442no—
549C2×D4—2444no—
550C2×D4—2442no—
551C2×D4—2442no—
552C2×D4C2×C4×D6111yescharacteristic
553C2×D4D4×D6112yes—
554C2×D4C23×D6111yescharacteristic
555C22×C4—21no—
556C22×C4—21no—
557C22×C4—42no—
558C22×C4—612no—
559C22×C4—612no—
560C22×C4—611no—
561C22×C4—611no—
562C22×C4—612no—
563C22×C4—1221no—
564C22×C4—1221no—
565C22×C4—1221no—
566C22×C4—1221no—
567C22×C4—1221no—
568C22×C4—1221no—
569C22×C4—1221no—
570C22×C4—2444no—
571C22×C4—2442no—
572C22×C4C2×C4×D6111yescharacteristic
573C4⋊C4—1221no—
574C4⋊C4—1221no—
575C4⋊C4—1222no—
576C4⋊C4—1222no—
577C4⋊C4—1222no—
578C4⋊C4—1221no—
579C4⋊C4—2444no—
580C22⋊C4—22no—
581C22⋊C4—22no—
582C22⋊C4—22no—
583C22⋊C4—22no—
584C22⋊C4—24no—
585C22⋊C4—42no—
586C22⋊C4—1222no—
587C22⋊C4—1222no—
588C22⋊C4—1222no—
589C22⋊C4—1222no—
590C22⋊C4—1221no—
591C22⋊C4—1221no—
592C22⋊C4—1222no—
593C22⋊C4—1222no—
594C22⋊C4—1221no—
595C22⋊C4—1224no—
596C22⋊C4—2444no—
597C22⋊C4—2442no—
598C42—21no—
599C42—611no—
600C42—611no—
601C42—1221no—
602C42—1221no—
603C42—2444no—
604C42C2×C4×D6111yescharacteristic
605C42C2×C4×D6111yescharacteristic
606C23—22no—
607C23—22no—
608C23—82no—
609C23—611no—
610C23—612no—
611C23—611no—
612C23—1224no—
613C23—1221no—
614C23—4882no—
615C23—4882no—
616C23—2442no—
617C23C22⋊C4×D6112yes—
618C23C22⋊C4×D6111yescharacteristic
619C23C2×D4×D6112yes—
620Q8—41no—
621Q8—41no—
622Q8—42no—
623Q8—1222no—
624Q8—2441no—
625Q8—2441no—
626Q8—2442no—
627Q8—2442no—
628D4—41no—
629D4—42no—
630D4—41no—
631D4—612no—
632D4—612no—
633D4—1222no—
634D4—1224no—
635D4—1224no—
636D4—1222no—
637D4—1222no—
638D4—1221no—
639D4—1221no—
640D4—4882no—
641D4—4882no—
642D4—4882no—
643D4—2441no—
644D4—2441no—
645D4—2442no—
646D4—2442no—
647D4—2442no—
648D4—2442no—
649D4—2441no—
650D4—2441no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—44no—
660C2×C4—81no—
661C2×C4—162no—
662C2×C4—611no—
663C2×C4—611no—
664C2×C4—612no—
665C2×C4—1222no—
666C2×C4—1222no—
667C2×C4—1224no—
668C2×C4—1221no—
669C2×C4—1221no—
670C2×C4—1221no—
671C2×C4—9764no—
672C2×C4—9762no—
673C2×C4—4881no—
674C2×C4—4881no—
675C2×C4—2442no—
676C2×C4—2442no—
677C2×C4—2442no—
678C2×C4—2442no—
679C2×C4—2442no—
680C2×C4—2442no—
681C2×C4—2442no—
682C2×C4—2444no—
683C2×C4C22⋊C4×D6111yescharacteristic
684C2×C4C22×C4×D6111yescharacteristic
685C22—22no—
686C22—22no—
687C22—41no—
688C22—42no—
689C22—42no—
690C22—82no—
691C22—82no—
692C22—612no—
693C22—1221no—
694C22—1222no—
695C22—9762no—
696C22—4884no—
697C22—2441no—
698C22—2442no—
699C22—2441no—
700C22—2442no—
701C22—2441no—
702C22#99×D6111yescharacteristic
703C22#99×D6111yescharacteristic
704C22C2×C22⋊C4×D6111yescharacteristic
705C4—21no—
706C4—21no—
707C4—41no—
708C4—41no—
709C4—41no—
710C4—41no—
711C4—84no—
712C4—612no—
713C4—1221no—
714C4—1222no—
715C4—4884no—
716C4—2441no—
717C4—2441no—
718C4—2441no—
719C2—21no—
720C2—21no—
721C2—21no—
722C2—42no—
723C2—42no—
724C2—1222no—
725C2—4881no—
726C2—2441no—
727C2—2442no—
728C2C2×#99×D6111yescharacteristic
subgroupG/H
centerC2C2×#99×D61
commutatorC2×C4×C61C23×C4
FrattiniC2×D4C23×D61
FittingC2×C61×#354C2
socleC2×C61C22×#99
prime radical#21459609C2
cosocleC2×D4×C61C24
hypercenterC2×#354D61
hypocenterC61#33361
LCSG ▷ C2×C4×C61 ▷ C22×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2 ◁ C23 ◁ C22×D4 ◁ C2×#354

Complements

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

NH ≅ G/Ntype
2. #21454277C2semidirect
3. #21447492C2semidirect
4. #21447487C2semidirect
5. #21447486C2semidirect
6. #21447483C2semidirect
7. C2×#16839557C2semidirect
8. #354×D61C2semidirect
9. C2×C61×#354C2semidirect
10. C2×#14519825C4semidirect
16. #16840336C4semidirect
17. #16840332C4semidirect
19. #16840330C4semidirect
22. #16840312C4semidirect
23. #16840311C4semidirect
25. #124×D61C4semidirect
28. C4×#11758222C4semidirect
35. #16839557C22semidirect
36. #16839557C22semidirect
37. #16839556C22semidirect
38. #16839554C22semidirect
41. C61×#354C22semidirect
42. C61×#354C22semidirect
48. C2×#11758226C2×C4semidirect
49. C2×#11758226C2×C4semidirect
54. C2×#11758222C2×C4semidirect
59. C2×Q8×D61C2×C4semidirect
60. C2×Q8×D61C2×C4semidirect
66. #14519777C2×C4semidirect
67. #14519775C2×C4semidirect
68. #14519775C2×C4semidirect
69. #14519774C2×C4semidirect
70. #14519773C2×C4semidirect
72. #14519766C2×C4semidirect
73. #14519766C2×C4semidirect
74. #14519765C2×C4semidirect
75. #14519765C2×C4semidirect
76. #14519764C2×C4semidirect
104. #14519736C2×C4semidirect
105. #14519734C2×C4semidirect
106. #14519734C2×C4semidirect
112. C42×D61C2×C4semidirect
113. C42×D61C2×C4semidirect
118. C22×Q8×C61C2×C4semidirect
121. #124×C61C2×C4semidirect
122. #124×C61C2×C4semidirect
127. C2×C42×C61C2×C4semidirect
363. C2×#354D61semidirect
404. #354C2×D61semidirect
405. #354C2×D61semidirect
407. C61#33361semidirect
426. C22×Q8C4×D61semidirect
448. #124C4×D61semidirect
449. #124C4×D61semidirect
488. C2×C42C4×D61semidirect

Maximal subgroups

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

subgroupindex
#214596092
#214542772
#214474922
#214474872
#214474862
#214474832
C2×#168395572
#354×D612
C2×C61×#3542
#3336161