Finite Group Databasebeta

← #29689989

Subgroups — #29689989

Order 15616.

1078 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×#16840383C211yesmaximal, characteristic
2#21448428C211yesmaximal, characteristic, complemented
3#21446770C211yesmaximal, characteristic, complemented
4#21446766C211yesmaximal, characteristic, complemented
5#21446749C211yesmaximal, characteristic, complemented
6#21446749C211yesmaximal, characteristic, complemented
7#21446257C211yesmaximal, characteristic
8#21446252C211yesmaximal, characteristic, complemented
9#21446247C211yesmaximal, characteristic
10#21446242C211yesmaximal, characteristic, complemented
11#21445835C211yesmaximal, characteristic, complemented
12#21445830C211yesmaximal, characteristic, complemented
13#21445825C211yesmaximal, characteristic, complemented
14#21445820C211yesmaximal, characteristic, complemented
15C2×C61×#424C211yesmaximal, characteristic, complemented
16#16840383—24no—
17#16840383C418yescomplemented
18C2×#14519777C2211yescharacteristic
19C2×#14519772—21no—
20C2×#14519765C2211yescharacteristic
21C2×#14519763—21no—
22C2×#14519759—21no—
23C2×#14519756C2211yescharacteristic
24C2×#14519755—21no—
25C2×#14519751C2211yescharacteristic
26C2×C4×Dic122C2211yescharacteristic
27C2×C4×D244C2211yescharacteristic
28C2×#14519702C2211yescharacteristic
29C2×#14519702C2211yescharacteristic
30C2×#14519702C2211yescharacteristic
31C2×#14519702C2211yescharacteristic
32C2×#14519699C2211yescharacteristic
33C2×#14519699C2211yescharacteristic
34C2×#14519699C2211yescharacteristic
35C2×#14519699C2211yescharacteristic
36#16839655—21no—
37#16839655—21no—
38#16839648—21no—
39#16839648—21no—
40#16839632C2211yescharacteristic
41#16839628C2211yescharacteristic
42#16839622C2211yescharacteristic
43#16839622C2211yescharacteristic
44C4×C4⋊Dic61C2211yescharacteristic
45C4×C4⋊Dic61C2211yescharacteristic
46#16839525C2211yescharacteristic
47#16839525C2211yescharacteristic
48#16839525C2211yescharacteristic
49#16839525C2211yescharacteristic
50#16839525C2211yescharacteristic
51#16839525C2211yescharacteristic
52#16839525C2211yescharacteristic
53#16839525C2211yescharacteristic
54C22×M16×C61C2211yescharacteristic
55C23×C8×C61C2211yescharacteristic
56C2×#117×C61C2211yescharacteristic
57C61×#424—24no—
58C2×C4⋊C8×C61C2211yescharacteristic
59C2×C4⋊C8×C61C2211yescharacteristic
60C2×C4⋊C8×C61C2211yescharacteristic
61C2×C4⋊C8×C61C2211yescharacteristic
62C22×Dic122—21no—
63C22×Dic122C2311yescharacteristic
64C22×D244C2311yescharacteristic
65C22×C22⋊D61—21no—
66C22×C4×D61—21no—
67#14519777—22no—
68#14519777C2×C414yes—
69#14519772—28no—
70#14519765—22no—
71#14519765C2×C414yes—
72#14519763—28no—
73#14519759—28no—
74#14519756—22no—
75#14519756C2×C414yes—
76#14519755—28no—
77#14519751—22no—
78#14519751C2×C414yes—
79C4×Dic122—22no—
80C4×Dic122C2×C414yes—
81C4×D244—22no—
82C4×D244C2×C414yes—
83C2×C4⋊Dic61—21no—
84C2×C4⋊Dic61—21no—
85C2×C4⋊Dic61—21no—
86C2×C4⋊Dic61C2311yescharacteristic
87C2×C4⋊Dic61C2311yescharacteristic
88C2×C4⋊Dic61C2311yescharacteristic
89C2×C4⋊Dic61C2311yescharacteristic
90C2×C4⋊Dic61C2311yescharacteristic
91C2×C4⋊Dic61C2311yescharacteristic
92C2×#11758196—21no—
93C2×#11758196—21no—
94C2×C22⋊Dic61—21no—
95C2×C22⋊Dic61—21no—
96C2×C22⋊Dic61—21no—
97C2×#11758198—21no—
98C2×#11758198—21no—
99C2×#11758198—21no—
100C2×#11758198—21no—
101C2×C4×Dic61—21no—
102C2×C4×Dic61—21no—
103C2×C4×Dic61—21no—
104#14519702—41no—
105#14519702—41no—
106#14519702—41no—
107#14519702—41no—
108#14519699—41no—
109#14519699—41no—
110#14519699—41no—
111#14519699—41no—
112#14519684—21no—
113#14519684—21no—
114#14519684—21no—
115#14519684—21no—
116#14519684—21no—
117#14519684—21no—
118C23×C4×C61C2311yescharacteristic
119C2×M16×C61—22no—
120C2×M16×C61—41no—
121C2×M16×C61—41no—
122C22×C8×C61—22no—
123C22×C8×C61—41no—
124C22×C8×C61—41no—
125C22×C8×C61C2311yescharacteristic
126C22×C8×C61C2311yescharacteristic
127C22×C8×C61C2311yescharacteristic
128C22×C8×C61C2311yescharacteristic
129#117×C61C2×C414yes—
130#117×C61D414yes—
131C2×C4⋊C4×C61D411yescharacteristic
132C2×C4⋊C4×C61D411yescharacteristic
133C2×C22⋊C4×C61D411yescharacteristic
134C2×C22⋊C4×C61D411yescharacteristic
135C2×C42×C61C2311yescharacteristic
136C2×C42×C61C2311yescharacteristic
137C4⋊C8×C61—22no—
138C4⋊C8×C61—22no—
139C4⋊C8×C61—22no—
140C4⋊C8×C61—22no—
141C24×C61C2×D411yescharacteristic
142C23×D61—21no—
143C22×C4×C61—21no—
144C22×C4×C61—21no—
145C22×C4×C61—21no—
146C22×C4×C61—21no—
147C22×C4×C61C22×C412yes—
148C22×C4×C61C2×D411yescharacteristic
149C22×C4×C61C2×D411yescharacteristic
150C22×C4×C61C2×D411yescharacteristic
151C22×C4×C61C2×D411yescharacteristic
152C22×C4×C61C2×D411yescharacteristic
153C22×C4×C61C2×D412yes—
154C22×C4×C61C2411yescharacteristic
155C2×C22⋊D61—24no—
156C2×C22⋊D61—81no—
157C2×C22⋊D61—81no—
158C22×Dic61—21no—
159C22×Dic61—21no—
160C22×Dic61—21no—
161C22×Dic61—21no—
162C22×Dic61—21no—
163C22×Dic61—21no—
164C22×Dic61—21no—
165C2×D244—21no—
166C2×D244—21no—
167C2×D244—21no—
168C2×D244—21no—
169C2×D244—21no—
170C2×D244C22×C412yes—
171C2×C4×D61—24no—
172C2×C4×D61—81no—
173C2×C4×D61—81no—
174C2×Dic122—21no—
175C2×Dic122—21no—
176C2×Dic122—21no—
177C2×Dic122—21no—
178C2×Dic122—21no—
179C2×Dic122—24no—
180C2×Dic122—81no—
181C2×Dic122—81no—
182C2×Dic122C22×C412yes—
183M16×C61—44no—
184C2×C8×C61—21no—
185C2×C8×C61—21no—
186C2×C8×C61—21no—
187C2×C8×C61—21no—
188C2×C8×C61—21no—
189C2×C8×C61—21no—
190C2×C8×C61—21no—
191C2×C8×C61—21no—
192C2×C8×C61—21no—
193C2×C8×C61—21no—
194C2×C8×C61—21no—
195C2×C8×C61—21no—
196C2×C8×C61—44no—
197C4⋊C4×C61C22⋊C414yes—
198C4⋊C4×C61C22⋊C414yes—
199C22⋊C4×C61C22⋊C414yes—
200C22⋊C4×C61C22⋊C414yes—
201C42×C61C22×C412yes—
202C42×C61C22×C412yes—
203C42×C61C2×D412yes—
204C42×C61C2×D412yes—
205C22⋊Dic61—24no—
206C22⋊Dic61—81no—
207C22⋊Dic61—81no—
208#11758198—24no—
209#11758198—24no—
210#11758198—24no—
211#11758198—24no—
212C4⋊Dic61—24no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61—21no—
216C4⋊Dic61—21no—
217C4⋊Dic61—21no—
218C4⋊Dic61—21no—
219C4⋊Dic61—21no—
220C4⋊Dic61—21no—
221C4⋊Dic61—21no—
222C4⋊Dic61—21no—
223C4⋊Dic61—81no—
224C4⋊Dic61—81no—
225C4⋊Dic61C22×C412yes—
226C4⋊Dic61C22×C412yes—
227#11758196—24no—
228#11758196—24no—
229C4×Dic61—24no—
230C4×Dic61—81no—
231C4×Dic61—81no—
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—
247C2×C4×C61—21no—
248C2×C4×C61—21no—
249C2×C4×C61—21no—
250C2×C4×C61—21no—
251C2×C4×C61—21no—
252C2×C4×C61—21no—
253C2×C4×C61—21no—
254C2×C4×C61—21no—
255C2×C4×C61—21no—
256C2×C4×C61—21no—
257C2×C4×C61—22no—
258C2×C4×C61—22no—
259C2×C4×C61—22no—
260C2×C4×C61—22no—
261C2×C4×C61C2×C22⋊C412yes—
262C2×C4×C61C2×C22⋊C412yes—
263C2×C4×C61C2×C22⋊C412yes—
264C2×C4×C61C2×C22⋊C412yes—
265C2×C4×C61C2×C22⋊C412yes—
266C2×C4×C61C23×C411yescharacteristic
267C2×C4×C61C22×D411yescharacteristic
268C2×C4×C61H(5,𝔽2)11yescharacteristic
269C2×C4×C61H(5,𝔽2)11yescharacteristic
270C2×C4×C612−1+411yescharacteristic
271C2×C4×C612−1+411yescharacteristic
272C22⋊D61—84no—
273C2×Dic61—22no—
274C2×Dic61—22no—
275C2×Dic61—22no—
276C2×Dic61—41no—
277C2×Dic61—41no—
278C2×Dic61—41no—
279C2×Dic61—41no—
280C2×Dic61—41no—
281C2×Dic61—41no—
282C2×Dic61—41no—
283C2×Dic61—41no—
284C2×Dic61—41no—
285C2×Dic61—41no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294D244—22no—
295D244—22no—
296D244—41no—
297D244—41no—
298C4×D61—84no—
299Dic122—22no—
300Dic122—22no—
301Dic122—41no—
302Dic122—41no—
303Dic122—84no—
304C8×C61—41no—
305C8×C61—41no—
306C8×C61—41no—
307C8×C61—41no—
308#21896—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#53711yescharacteristic
318C22×C61#53711yescharacteristic
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—22no—
332C4×C61—22no—
333C4×C61—22no—
334C4×C61—22no—
335C4×C61#52011yescharacteristic
336C4×C61#52011yescharacteristic
337C4×C61#53511yescharacteristic
338C4×C61#53611yescharacteristic
339Dic61—42no—
340Dic61—42no—
341Dic61—42no—
342Dic61—81no—
343Dic61—81no—
344Dic61—81no—
345Dic61—81no—
346C2×#542—611no—
347C2×#424D6111yescharacteristic, complemented
348#2314—611no—
349#1988—611no—
350#1987—611no—
351#1983—611no—
352#1983—611no—
353#1895—611no—
354#1894—611no—
355#1893—611no—
356#1892—611no—
357#1805—611no—
358#1804—611no—
359#1803—611no—
360#1802—611no—
361C2×C61—42no—
362C2×C61#231111yescharacteristic
363C2×C61#289711yescharacteristic
364C2×C61#289811yescharacteristic
365C2×C61#325711yescharacteristic
366C2×C61#325811yescharacteristic
367C2×C61#326211yescharacteristic
368C2×C61#326311yescharacteristic
369D61—82no—
370C22×M16C2×D6111yescharacteristic
371C23×C8C2×D6111yescharacteristic
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—611no—
380C2×C22⋊Q8—1221no—
381C2×#121—611no—
382C2×C4×Q8—611no—
383C2×C4×D4—611no—
384C2×#117C2×D6111yescharacteristic
385#424—24no—
386C2×C4⋊C8C2×D6111yescharacteristic
387C2×C4⋊C8C2×D6111yescharacteristic
388C2×C4⋊C8C2×D6111yescharacteristic
389C2×C4⋊C8C2×D6111yescharacteristic
390C2×#103—611no—
391C2×#103—611no—
392C2×#103—611no—
393C2×#103—611no—
394C2×#102—611no—
395C2×#102—611no—
396C2×#102—611no—
397C2×#102—611no—
398#388—1221no—
399#388—1221no—
400#387—1221no—
401#387—1221no—
402#384—611no—
403#382—611no—
404#380—611no—
405#380—611no—
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#340—611no—
415#340—611no—
416C61#2189611yescharacteristic, complemented, Sylow
417C22×Q8—611no—
418C22×Q8—1221no—
419C22×D4—611no—
420C22×D4—1221no—
421C23×C4—1221no—
422C23×C4C22×D6111yescharacteristic
423C2×M16—22no—
424C2×M16—41no—
425C2×M16—41no—
426C22×C8—22no—
427C22×C8—41no—
428C22×C8—41no—
429C22×C8C22×D6111yescharacteristic
430C22×C8C22×D6111yescharacteristic
431C22×C8C22×D6111yescharacteristic
432C22×C8C22×D6111yescharacteristic
433C4⋊Q8—614no—
434C4⋊Q8—1222no—
435#126—1228no—
436#124—614no—
437#124—1228no—
438#124—1222no—
439#123—1228no—
440C22⋊Q8—614no—
441C22⋊Q8—1222no—
442C22⋊Q8—1228no—
443#121—614no—
444#121—1222no—
445C4×Q8—614no—
446C4×Q8—1222no—
447C4×D4—614no—
448C4×D4—1222no—
449#117C4×D6114yes—
450#117C22⋊D6114yes—
451C2×C4⋊C4—611no—
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⋊C4—1221no—
462C2×C4⋊C4D24411yescharacteristic
463C2×C4⋊C4D24411yescharacteristic
464C2×C22⋊C4—1221no—
465C2×C22⋊C4—1221no—
466C2×C22⋊C4—1221no—
467C2×C22⋊C4—1221no—
468C2×C22⋊C4—1221no—
469C2×C22⋊C4—1221no—
470C2×C22⋊C4—1221no—
471C2×C22⋊C4D24411yescharacteristic
472C2×C22⋊C4D24411yescharacteristic
473C2×C42—1221no—
474C2×C42—1221no—
475C2×C42—1221no—
476C2×C42C22×D6111yescharacteristic
477C2×C42C22×D6111yescharacteristic
478C4⋊C8—22no—
479C4⋊C8—22no—
480C4⋊C8—22no—
481C4⋊C8—22no—
482#103—2441no—
483#103—2441no—
484#103—2441no—
485#103—2441no—
486#102—2441no—
487#102—2441no—
488#102—2441no—
489#102—2441no—
490#95—1221no—
491#95—1221no—
492#95—1221no—
493#95—1221no—
494#95—1221no—
495#95—1221no—
496C24—1221no—
497C24C2×D24411yescharacteristic
498C2×Q8—612no—
499C2×Q8—1221no—
500C2×Q8—1224no—
501C2×Q8—1221no—
502C2×Q8—1221no—
503C2×Q8—1221no—
504C2×Q8—1221no—
505C2×Q8—4881no—
506C2×Q8—4881no—
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—1221no—
521C22×C4—1221no—
522C22×C4—1221no—
523C22×C4—1224no—
524C22×C4—1221no—
525C22×C4—1221no—
526C22×C4—1221no—
527C22×C4—1221no—
528C22×C4—4881no—
529C22×C4—4881no—
530C22×C4C2×C4×D6112yes—
531C22×C4C2×D24411yescharacteristic
532C22×C4C2×D24411yescharacteristic
533C22×C4C2×D24411yescharacteristic
534C22×C4C2×D24411yescharacteristic
535C22×C4C2×D24411yescharacteristic
536C22×C4C2×C22⋊D6112yes—
537C22×C4C23×D6111yescharacteristic
538M16—44no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—44no—
552C4⋊C4—612no—
553C4⋊C4—612no—
554C4⋊C4—1221no—
555C4⋊C4—1221no—
556C4⋊C4—1224no—
557C4⋊C4—1224no—
558C4⋊C4—1224no—
559C4⋊C4—1221no—
560C4⋊C4—1221no—
561C4⋊C4—1221no—
562C4⋊C4—1221no—
563C4⋊C4—1221no—
564C4⋊C4—1221no—
565C4⋊C4—1221no—
566C4⋊C4—1221no—
567C4⋊C4—4881no—
568C4⋊C4—4881no—
569C4⋊C4#1175819814yes—
570C4⋊C4#1175819814yes—
571C22⋊C4—1224no—
572C22⋊C4—1224no—
573C22⋊C4—1224no—
574C22⋊C4—1224no—
575C22⋊C4—1224no—
576C22⋊C4—4881no—
577C22⋊C4—4881no—
578C22⋊C4#1175819814yes—
579C22⋊C4#1175819814yes—
580C42—1224no—
581C42—4881no—
582C42—4881no—
583C42C2×C4×D6112yes—
584C42C2×C4×D6112yes—
585C42C2×C22⋊D6112yes—
586C42C2×C22⋊D6112yes—
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—
600C23C2×#1175819812yes—
601C23C22×D24411yescharacteristic
602Q8—1222no—
603Q8—1222no—
604Q8—4884no—
605Q8—2441no—
606Q8—2441no—
607D4—1222no—
608D4—1222no—
609D4—4884no—
610D4—2441no—
611D4—2441no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—1222no—
627C2×C4—1222no—
628C2×C4—1222no—
629C2×C4—4884no—
630C2×C4—2441no—
631C2×C4—2441no—
632C2×C4—2441no—
633C2×C4—2441no—
634C2×C4—2441no—
635C2×C4—2441no—
636C2×C4—2441no—
637C2×C4—2441no—
638C2×C4—2441no—
639C2×C4—2441no—
640C2×C4—2441no—
641C2×C4—2441no—
642C2×C4—2441no—
643C2×C4—2441no—
644C2×C4—2441no—
645C2×C4—2441no—
646C2×C4—2441no—
647C2×C4—2441no—
648C2×C4C2×#1175819812yes—
649C2×C4C2×#1175819812yes—
650C2×C4C2×#1175819812yes—
651C2×C4C2×#1175819812yes—
652C2×C4C2×#1175819812yes—
653C2×C4C22×C4×D6111yescharacteristic
654C2×C4C22×C22⋊D6111yescharacteristic
655C2×C4#1451982211yescharacteristic
656C2×C4#1451982211yescharacteristic
657C2×C4#1451982511yescharacteristic
658C2×C4#1451982511yescharacteristic
659C8—41no—
660C8—41no—
661C8—41no—
662C8—41no—
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—
677C22C22×#1175819811yescharacteristic
678C22#1684034311yescharacteristic
679C22#1684034311yescharacteristic
680C22#1684056711yescharacteristic
681C22#1684057411yescharacteristic
682C22#1684057411yescharacteristic
683C22#1684057911yescharacteristic
684C4—22no—
685C4—22no—
686C4—22no—
687C4—22no—
688C4—22no—
689C4—4881no—
690C4—4881no—
691C4—4881no—
692C4—4881no—
693C4—2442no—
694C4—2442no—
695C4—2442no—
696C4#1684024311yescharacteristic
697C4#1684024311yescharacteristic
698C4#1684032911yescharacteristic
699C4#1684033611yescharacteristic
700C2—42no—
701C2—4882no—
702C2#2144841211yescharacteristic
703C2#2145434611yescharacteristic
704C2#2145435311yescharacteristic
705C2#2145723211yescharacteristic
706C2#2145724711yescharacteristic
707C2#2145728011yescharacteristic
708C2#2145729011yescharacteristic
subgroupG/H
centerC23C22×D244
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC2×C61×#424C2
socleC23×C61C22×D4
prime radicalC2×#14519751C22
cosocleC22×C4×C61C24
hypercenterC2×#424D61
hypocenterC61#21896
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#424

Complements

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

NH ≅ G/Ntype
2. #21448428C2semidirect
3. #21446770C2semidirect
4. #21446766C2semidirect
5. #21446749C2semidirect
6. #21446749C2semidirect
8. #21446252C2semidirect
10. #21446242C2semidirect
11. #21445835C2semidirect
12. #21445830C2semidirect
13. #21445825C2semidirect
14. #21445820C2semidirect
15. C2×C61×#424C2semidirect
17. #16840383C4semidirect
347. C2×#424D61semidirect
416. C61#21896semidirect

Maximal subgroups

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

subgroupindex
C2×#168403832
#214484282
#214467702
#214467662
#214467492
#214462572
#214462522
#214462472
#214462422
#214458352
#214458302
#214458252
#214458202
C2×C61×#4242
#2189661