Finite Group Databasebeta

← #29685287

Subgroups — #29685287

Order 15616.

1134 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840385C211yesmaximal, characteristic
2C2×#16839720C211yesmaximal, characteristic, complemented
3#21448426C211yesmaximal, characteristic, complemented
4#21446790C211yesmaximal, characteristic, complemented
5#21446778C211yesmaximal, characteristic, complemented
6#21446632C211yesmaximal, characteristic, complemented
7#21446627C211yesmaximal, characteristic, complemented
8#21446257C211yesmaximal, characteristic
9#21446245C211yesmaximal, characteristic
10#21446243C211yesmaximal, characteristic, complemented
11#21445651C211yesmaximal, characteristic, complemented
12#21445643C211yesmaximal, characteristic, complemented
13#103×Dic61C211yesmaximal, characteristic, complemented
14#21445633C211yesmaximal, characteristic, complemented
15C61×#1894C211yesmaximal, characteristic, complemented
16C23×#92418C2211yescharacteristic
17#16840385—24no—
18#16840385C418yescomplemented
19C2×#14519776C2211yescharacteristic
20C2×#14519772—21no—
21C2×#14519766C2211yescharacteristic
22C2×#14519763—21no—
23C2×#14519759—21no—
24C2×#14519757—21no—
25C2×#14519751C2211yescharacteristic
26C2×Q8×Dic61C2211yescharacteristic
27C2×#14519739C2211yescharacteristic
28C2×#14519736C2211yescharacteristic
29C2×#14519701C2211yescharacteristic
30C2×#14519701C2211yescharacteristic
31C2×#14519699C2211yescharacteristic
32C2×#14519699C2211yescharacteristic
33C2×#14519697C2211yescharacteristic
34C2×#14519697C2211yescharacteristic
35#16839720—24no—
36C2×#14519687C2211yescharacteristic
37C2×#14519687C2211yescharacteristic
38C2×C8×Dic61C2211yescharacteristic
39C2×C8×Dic61C2211yescharacteristic
40#16839656—21no—
41#16839650—21no—
42#16839647—21no—
43#16839645—21no—
44#16839631C2211yescharacteristic
45#16839627C2211yescharacteristic
46#16839622C2211yescharacteristic
47C4⋊C4×Dic61C2211yescharacteristic
48C4⋊C4×Dic61C2211yescharacteristic
49#16839525C2211yescharacteristic
50#16839525C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839524C2211yescharacteristic
54#16839524C2211yescharacteristic
55C22×M16×C61C2211yescharacteristic
56C2×C22⋊Q8×C61C2211yescharacteristic
57C2×#103×C61C2211yescharacteristic
58C2×#103×C61C2211yescharacteristic
59C61×#380C2211yescharacteristic
60C61×#340C2211yescharacteristic
61C61×#340C2211yescharacteristic
62C22×Dic122—21no—
63C22×D244C2311yescharacteristic
64C22×C22⋊D61—21no—
65C22×C4×D61—21no—
66C22×#92418—22no—
67C22×#92418—22no—
68C22×#92418—22no—
69C22×#92418C2311yescharacteristic
70C22×#92418C2311yescharacteristic
71#14519776—22no—
72#14519776C2×C414yes—
73#14519772—28no—
74#14519766—22no—
75#14519766C2×C414yes—
76#14519763—28no—
77#14519759—28no—
78#14519757—28no—
79#14519751—22no—
80#14519751C2×C414yes—
81Q8×Dic61—22no—
82Q8×Dic61C2×C414yes—
83#14519739—22no—
84#14519739C2×C414yes—
85#14519736C2×C414yes—
86#14519736D414yes—
87C2×C4⋊Dic61—21no—
88C2×C4⋊Dic61D411yescharacteristic
89C2×C4⋊Dic61D411yescharacteristic
90C2×C4⋊Dic61C2311yescharacteristic
91C2×C4⋊Dic61C2311yescharacteristic
92C2×C4⋊Dic61C2311yescharacteristic
93C2×#11758196—21no—
94C2×#11758196—21no—
95C2×#11758196—21no—
96C2×C22⋊Dic61—21no—
97C2×C22⋊Dic61D411yescharacteristic
98C2×C22⋊Dic61D411yescharacteristic
99C2×#11758198—21no—
100C2×#11758198—21no—
101C2×#11758198—21no—
102C2×#11758198—21no—
103C2×C4×Dic61—21no—
104C2×C4×Dic61—21no—
105C2×C4×Dic61—21no—
106C2×C4×Dic61C2311yescharacteristic
107C2×C4×Dic61C2311yescharacteristic
108#14519701—22no—
109#14519701—22no—
110#14519699—22no—
111#14519699—22no—
112#14519697—22no—
113#14519697—22no—
114#14519687—22no—
115#14519687—22no—
116C8×Dic61—22no—
117C8×Dic61—22no—
118#14519684—21no—
119#14519684—21no—
120#14519684—21no—
121#14519684—21no—
122#14519684—21no—
123C22×Q8×C61C2311yescharacteristic
124C23×C4×C61C2311yescharacteristic
125C2×M16×C61—22no—
126C2×M16×C61—22no—
127C2×M16×C61—22no—
128C22×C8×C61C2311yescharacteristic
129C22×C8×C61C2311yescharacteristic
130C22⋊Q8×C61—22no—
131C22⋊Q8×C61C2×C414yes—
132C2×C4⋊C4×C61—21no—
133C2×C4⋊C4×C61C2311yescharacteristic
134C2×C4⋊C4×C61C2311yescharacteristic
135C2×C4⋊C4×C61C2311yescharacteristic
136C2×C22⋊C4×C61—21no—
137C2×C22⋊C4×C61—21no—
138#103×C61—22no—
139#103×C61—22no—
140#95×C61—21no—
141C24×C61C2×D411yescharacteristic
142C23×D61—21no—
143C2×Q8×C61—21no—
144C2×Q8×C61—21no—
145C2×Q8×C61—21no—
146C2×Q8×C61—21no—
147C2×Q8×C61—21no—
148C2×Q8×C61C22×C412yes—
149C22×C4×C61—21no—
150C22×C4×C61—21no—
151C22×C4×C61—21no—
152C22×C4×C61—21no—
153C22×C4×C61—21no—
154C22×C4×C61—21no—
155C22×C4×C61—21no—
156C22×C4×C61—21no—
157C22×C4×C61C22×C412yes—
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2×D412yes—
160C22×C4×C61C2411yescharacteristic
161C2×C22⋊D61—24no—
162C2×C22⋊D61—81no—
163C2×C22⋊D61—81no—
164C22×Dic61—21no—
165C22×Dic61—21no—
166C22×Dic61—21no—
167C22×Dic61C2×D411yescharacteristic
168C22×Dic61C2×D411yescharacteristic
169C22×Dic61C2×D411yescharacteristic
170C22×Dic61C2×D411yescharacteristic
171C2×D244—21no—
172C2×D244—21no—
173C2×D244—21no—
174C2×D244—21no—
175C2×D244—21no—
176C2×D244C22×C412yes—
177C2×C4×D61—24no—
178C2×C4×D61—81no—
179C2×C4×D61—81no—
180C2×Dic122—24no—
181C2×Dic122—81no—
182C2×Dic122—81no—
183M16×C61—28no—
184C2×C8×C61—21no—
185C2×C8×C61—21no—
186C2×C8×C61—21no—
187C2×C8×C61—21no—
188C2×C8×C61#4112yes—
189C2×C8×C61#4112yes—
190C4⋊C4×C61—24no—
191C4⋊C4×C61—21no—
192C4⋊C4×C61—21no—
193C4⋊C4×C61—21no—
194C4⋊C4×C61—21no—
195C4⋊C4×C61—21no—
196C4⋊C4×C61C22×C412yes—
197C22⋊C4×C61—24no—
198C22⋊C4×C61—81no—
199C22⋊Dic61—81no—
200C22⋊Dic61C22⋊C414yes—
201C22⋊Dic61C22⋊C414yes—
202#11758198—24no—
203#11758198—24no—
204#11758198—24no—
205#11758198—24no—
206C4⋊Dic61—21no—
207C4⋊Dic61—24no—
208C4⋊Dic61—21no—
209C4⋊Dic61—21no—
210C4⋊Dic61—21no—
211C4⋊Dic61—21no—
212C4⋊Dic61C22⋊C414yes—
213C4⋊Dic61C22⋊C414yes—
214C4⋊Dic61C22×C412yes—
215#11758196—24no—
216#11758196—81no—
217#11758196—81no—
218C4×Dic61—24no—
219C4×Dic61—81no—
220C4×Dic61—81no—
221C4×Dic61C22×C412yes—
222C4×Dic61C22×C412yes—
223C4×Dic61C2×D412yes—
224C4×Dic61C2×D412yes—
225C2×#92418—28no—
226C2×#92418—21no—
227C2×#92418—21no—
228C2×#92418—21no—
229C2×#92418—21no—
230C2×#92418#4112yes—
231C2×#92418#4112yes—
232C23×C61—21no—
233C23×C61—21no—
234C23×C61—21no—
235C23×C61—21no—
236C23×C61—21no—
237C23×C61—21no—
238C23×C61C2×C22⋊C412yes—
239C23×C61C22×D411yescharacteristic
240C22×D61—22no—
241C22×D61—41no—
242C22×D61—41no—
243C22×D61—41no—
244C22×D61—41no—
245C22×D61—41no—
246C22×D61—41no—
247Q8×C61—22no—
248Q8×C61—22no—
249Q8×C61—41no—
250Q8×C61—41no—
251C2×C4×C61—21no—
252C2×C4×C61—21no—
253C2×C4×C61—22no—
254C2×C4×C61—22no—
255C2×C4×C61—22no—
256C2×C4×C61—22no—
257C2×C4×C61—22no—
258C2×C4×C61—22no—
259C2×C4×C61—41no—
260C2×C4×C61—41no—
261C2×C4×C61—41no—
262C2×C4×C61—41no—
263C2×C4×C61—41no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61—41no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
269C2×C4×C61C2×C22⋊C412yes—
270C2×C4×C61C23×C411yescharacteristic
271C2×C4×C61C22×D411yescharacteristic
272C2×C4×C61C2×#4111yescharacteristic
273C2×C4×C61C2×#4111yescharacteristic
274C2×C4×C61C2×#4111yescharacteristic
275C2×C4×C61C2×#4111yescharacteristic
276C22⋊D61—84no—
277C2×Dic61—21no—
278C2×Dic61—21no—
279C2×Dic61—21no—
280C2×Dic61—21no—
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—21no—
285C2×Dic61—22no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61C2×C22⋊C412yes—
295C2×Dic61C2×C22⋊C412yes—
296C2×Dic61C2×C22⋊C412yes—
297C2×Dic61C2×C22⋊C412yes—
298D244—22no—
299D244—22no—
300D244—41no—
301D244—41no—
302C4×D61—84no—
303Dic122—84no—
304C8×C61—22no—
305C8×C61—22no—
306#92418—22no—
307#92418—22no—
308#21412—611nomaximal, Sylow
309C22×C61—22no—
310C22×C61—22no—
311C22×C61—22no—
312C22×C61—41no—
313C22×C61—41no—
314C22×C61—41no—
315C22×C61—41no—
316C22×C61C22×C22⋊C411yescharacteristic
317C22×C61#53211yescharacteristic
318C22×C61#53211yescharacteristic
319C22×C61#57611yescharacteristic
320C22×C61#57711yescharacteristic
321C22×C61#57711yescharacteristic
322C22×C61#57811yescharacteristic
323C2×D61—42no—
324C2×D61—42no—
325C2×D61—42no—
326C2×D61—81no—
327C2×D61—81no—
328C2×D61—81no—
329C2×D61—81no—
330C4×C61—22no—
331C4×C61—42no—
332C4×C61—42no—
333C4×C61—81no—
334C4×C61—81no—
335C4×C61C4×#4111yescharacteristic
336C4×C61C4×#4111yescharacteristic
337C4×C61#52511yescharacteristic
338C4×C61#52511yescharacteristic
339Dic61—22no—
340Dic61—22no—
341Dic61—22no—
342Dic61—22no—
343Dic61—42no—
344Dic61—81no—
345Dic61—81no—
346C2×#542—611no—
347C2×#405—611no—
348#2314—611no—
349#1993—611no—
350#1990—611no—
351#1959—611no—
352#1958—611no—
353#1895—611no—
354#1894D6111yescharacteristic, complemented
355#1893—611no—
356#1892—611no—
357#1763—611no—
358#1762—611no—
359C4×#103—611no—
360C4×#102—611no—
361C2×C61—42no—
362C2×C61#229711yescharacteristic
363C2×C61#289711yescharacteristic
364C2×C61#289811yescharacteristic
365C2×C61#317311yescharacteristic
366C2×C61#317511yescharacteristic
367C2×C61#317811yescharacteristic
368C2×C61#317911yescharacteristic
369D61—82no—
370C22×M16C2×D6111yescharacteristic
371C23×C8—611no—
372#542—618no—
373#542—1224no—
374C2×C4⋊Q8—611no—
375C2×#126—1221no—
376C2×#124—611no—
377C2×#124—1221no—
378C2×#123—1221no—
379C2×C22⋊Q8—1221no—
380C2×C22⋊Q8C2×D6111yescharacteristic
381C2×#121—611no—
382C2×C4×Q8—611no—
383C2×C4×D4—611no—
384C2×#117—611no—
385C2×#103—611no—
386C2×#103—611no—
387C2×#103C2×D6111yescharacteristic
388C2×#103C2×D6111yescharacteristic
389C2×#102—611no—
390C2×#102—611no—
391C2×#102—611no—
392C2×#102—611no—
393#405—1224no—
394C2×#97—611no—
395C2×#97—611no—
396C2×C4×C8—611no—
397C2×C4×C8—611no—
398#388—1221no—
399#388—1221no—
400#387—1221no—
401#387—1221no—
402#384—611no—
403#382—611no—
404#380—611no—
405#380C2×D6111yescharacteristic
406C4×C4⋊C4—611no—
407C4×C4⋊C4—611no—
408#340—611no—
409#340—611no—
410#340—611no—
411#340—611no—
412#340—611no—
413#340—611no—
414#340C2×D6111yescharacteristic
415#340C2×D6111yescharacteristic
416C61#2141211yescharacteristic, complemented, Sylow
417C22×Q8—1221no—
418C22×Q8C22×D6111yescharacteristic
419C22×D4—611no—
420C22×D4—1221no—
421C23×C4—1221no—
422C23×C4C22×D6111yescharacteristic
423C2×M16—22no—
424C2×M16—22no—
425C2×M16—22no—
426C22×C8—611no—
427C22×C8—611no—
428C22×C8—1222no—
429C22×C8—1222no—
430C22×C8—1222no—
431C22×C8C22×D6111yescharacteristic
432C22×C8C22×D6111yescharacteristic
433C4⋊Q8—614no—
434C4⋊Q8—1222no—
435#126—1228no—
436#124—614no—
437#124—1222no—
438#124—1228no—
439#123—1228no—
440C22⋊Q8—22no—
441C22⋊Q8—1228no—
442C22⋊Q8C4×D6114yes—
443#121—614no—
444#121—1222no—
445C4×Q8—614no—
446C4×Q8—1222no—
447C4×D4—614no—
448C4×D4—1222no—
449#117—614no—
450#117—614no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—611no—
453C2×C4⋊C4—611no—
454C2×C4⋊C4—611no—
455C2×C4⋊C4—611no—
456C2×C4⋊C4—611no—
457C2×C4⋊C4—1221no—
458C2×C4⋊C4—1221no—
459C2×C4⋊C4—1221no—
460C2×C4⋊C4—1221no—
461C2×C4⋊C4C22×D6111yescharacteristic
462C2×C4⋊C4C22×D6111yescharacteristic
463C2×C4⋊C4C22×D6111yescharacteristic
464C2×C22⋊C4—21no—
465C2×C22⋊C4—21no—
466C2×C22⋊C4—611no—
467C2×C22⋊C4—611no—
468C2×C22⋊C4—1221no—
469C2×C22⋊C4—1221no—
470C2×C22⋊C4—1221no—
471C2×C22⋊C4—1221no—
472C2×C22⋊C4—1221no—
473C2×C42—611no—
474C2×C42—611no—
475C2×C42—1221no—
476C2×C42—1221no—
477C2×C42—1221no—
478#103—22no—
479#103—22no—
480#103—1222no—
481#103—1222no—
482#102—1222no—
483#102—1222no—
484#102—1222no—
485#102—1222no—
486#97—1222no—
487#97—1222no—
488C4×C8—1222no—
489C4×C8—1222no—
490#95—21no—
491#95—1221no—
492#95—1221no—
493#95—1221no—
494#95—1221no—
495#95—1221no—
496C24—1221no—
497C24D4×D6111yescharacteristic
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—1224no—
504C2×Q8—4881no—
505C2×Q8—4881no—
506C2×Q8C2×C4×D6112yes—
507C2×D4—612no—
508C2×D4—1224no—
509C2×D4—1221no—
510C2×D4—1221no—
511C2×D4—1221no—
512C2×D4—1221no—
513C2×D4—1221no—
514C2×D4—4881no—
515C2×D4—4881no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—611no—
525C22×C4—611no—
526C22×C4—611no—
527C22×C4—611no—
528C22×C4—1224no—
529C22×C4—1221no—
530C22×C4—1221no—
531C22×C4—1221no—
532C22×C4—4881no—
533C22×C4—4881no—
534C22×C4C2×C4×D6112yes—
535C22×C4D4×D6112yes—
536C22×C4D4×D6111yescharacteristic
537C22×C4C23×D6111yescharacteristic
538M16—28no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—612no—
544C2×C8—612no—
545C2×C8—1228no—
546C2×C8—1221no—
547C2×C8—1221no—
548C2×C8—1221no—
549C2×C8—1221no—
550C2×C8#1175822412yes—
551C2×C8#1175822412yes—
552C4⋊C4—21no—
553C4⋊C4—24no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—614no—
559C4⋊C4—614no—
560C4⋊C4—612no—
561C4⋊C4—1224no—
562C4⋊C4—1224no—
563C4⋊C4—1221no—
564C4⋊C4—1221no—
565C4⋊C4—1221no—
566C4⋊C4—1221no—
567C4⋊C4—1221no—
568C4⋊C4—4881no—
569C4⋊C4—4881no—
570C4⋊C4C2×C4×D6112yes—
571C22⋊C4—24no—
572C22⋊C4—81no—
573C22⋊C4—614no—
574C22⋊C4—614no—
575C22⋊C4—1224no—
576C22⋊C4—1224no—
577C22⋊C4—1224no—
578C22⋊C4—1224no—
579C22⋊C4—4881no—
580C42—612no—
581C42—612no—
582C42—612no—
583C42—612no—
584C42—1224no—
585C42—4881no—
586C42—4881no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—1222no—
594C23—2441no—
595C23—2441no—
596C23—2441no—
597C23—2441no—
598C23—2441no—
599C23—2441no—
600C23C22⋊C4×D6112yes—
601C23C2×D4×D6111yescharacteristic
602Q8—22no—
603Q8—22no—
604Q8—41no—
605Q8—41no—
606Q8—4884no—
607D4—1222no—
608D4—1222no—
609D4—4884no—
610D4—2441no—
611D4—2441no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—612no—
631C2×C4—612no—
632C2×C4—612no—
633C2×C4—612no—
634C2×C4—1221no—
635C2×C4—1221no—
636C2×C4—1221no—
637C2×C4—1221no—
638C2×C4—1221no—
639C2×C4—1221no—
640C2×C4—1221no—
641C2×C4—1221no—
642C2×C4—1222no—
643C2×C4—4884no—
644C2×C4—2441no—
645C2×C4—2441no—
646C2×C4—2441no—
647C2×C4—2441no—
648C2×C4—2441no—
649C2×C4—2441no—
650C2×C4—2441no—
651C2×C4—2441no—
652C2×C4C22⋊C4×D6112yes—
653C2×C4C22×C4×D6111yescharacteristic
654C2×C4C2×D4×D6111yescharacteristic
655C2×C4#41×D6111yescharacteristic
656C2×C4#41×D6111yescharacteristic
657C2×C4C2×#1175822411yescharacteristic
658C2×C4C2×#1175822411yescharacteristic
659C8—22no—
660C8—22no—
661C8—1222no—
662C8—1222no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—4881no—
671C22—4881no—
672C22—4881no—
673C22—4881no—
674C22—2442no—
675C22—2442no—
676C22—2442no—
677C22C2×C22⋊C4×D6111yescharacteristic
678C22#1684030711yescharacteristic
679C22#1684030711yescharacteristic
680C22#1684056611yescharacteristic
681C22#1684057111yescharacteristic
682C22#1684057111yescharacteristic
683C22#1684057811yescharacteristic
684C4—22no—
685C4—42no—
686C4—42no—
687C4—81no—
688C4—81no—
689C4—1222no—
690C4—1222no—
691C4—1222no—
692C4—1222no—
693C4—4881no—
694C4—4881no—
695C4—2442no—
696C4C4×#1175822411yescharacteristic
697C4C4×#1175822411yescharacteristic
698C4#1684026811yescharacteristic
699C4#1684027011yescharacteristic
700C2—42no—
701C2—4882no—
702C2#2144830411yescharacteristic
703C2#2145434311yescharacteristic
704C2#2145435111yescharacteristic
705C2#2145643711yescharacteristic
706C2#2145645311yescharacteristic
707C2#2145648811yescharacteristic
708C2#2145649511yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1894C2
socleC23×C61C22×D4
prime radicalC2×#14519751C22
cosocleC22×C4×C61C24
hypercenter#1894D61
hypocenterC61#21412
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1894

Complements

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

NH ≅ G/Ntype
2. C2×#16839720C2semidirect
3. #21448426C2semidirect
4. #21446790C2semidirect
5. #21446778C2semidirect
6. #21446632C2semidirect
7. #21446627C2semidirect
10. #21446243C2semidirect
11. #21445651C2semidirect
12. #21445643C2semidirect
13. #103×Dic61C2semidirect
14. #21445633C2semidirect
15. C61×#1894C2semidirect
18. #16840385C4semidirect
354. #1894D61semidirect
416. C61#21412semidirect

Maximal subgroups

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

subgroupindex
C2×#168403852
C2×#168397202
#214484262
#214467902
#214467782
#214466322
#214466272
#214462572
#214462452
#214462432
#214456512
#214456432
#103×Dic612
#214456332
C61×#18942
#2141261