Finite Group Databasebeta

← #29696861

Subgroups — #29696861

Order 15616.

1162 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840495C211yesmaximal, characteristic
2C2×#16839890C211yesmaximal, characteristic, complemented
3C4⋊C4×Dic122C211yesmaximal, characteristic, complemented
4#21446751C211yesmaximal, characteristic, complemented
5#21446750C211yesmaximal, characteristic, complemented
6#21446744C211yesmaximal, characteristic
7#21446635C211yesmaximal, characteristic, complemented
8#21446634C211yesmaximal, characteristic, complemented
9#21446623C211yesmaximal, characteristic
10#21445823C211yesmaximal, characteristic, complemented
11#21445819C211yesmaximal, characteristic, complemented
12#21445818C211yesmaximal, characteristic, complemented
13#21445643C211yesmaximal, characteristic, complemented
14#21445638C211yesmaximal, characteristic, complemented
15C61×#1762C211yesmaximal, characteristic, complemented
16#16840495—24no—
17#16840495C418yescomplemented
18C2×#14519773C2211yescharacteristic
19C2×#14519765C2211yescharacteristic
20C2×#14519764C2211yescharacteristic
21C2×#14519763—21no—
22C2×#14519760—21no—
23C2×#14519759—21no—
24C2×C4×Dic122—21no—
25C2×C4×Dic122C2211yescharacteristic
26C2×#14519742C2211yescharacteristic
27C2×#14519739C2211yescharacteristic
28C2×C4×C22⋊D61—21no—
29#16839890—24no—
30C2×C4⋊#92418C2211yescharacteristic
31C2×#14519706C2211yescharacteristic
32C2×#14519706C2211yescharacteristic
33C2×#14519702C2211yescharacteristic
34C2×#14519702C2211yescharacteristic
35C2×#14519700C2211yescharacteristic
36C2×#14519700C2211yescharacteristic
37C2×#14519699C2211yescharacteristic
38C2×#14519699C2211yescharacteristic
39C2×#14519698C2211yescharacteristic
40C2×#14519698C2211yescharacteristic
41C2×#14519697C2211yescharacteristic
42C2×#14519697C2211yescharacteristic
43C2×#14519687C2211yescharacteristic
44C2×C8×Dic61C2211yescharacteristic
45#16839660—21no—
46#16839659—21no—
47#16839659—21no—
48#16839632C2211yescharacteristic
49#16839631C2211yescharacteristic
50#16839631C2211yescharacteristic
51C4⋊C4×Dic61C2211yescharacteristic
52C4⋊C4×Dic61C2211yescharacteristic
53#16839524C2211yescharacteristic
54#16839524C2211yescharacteristic
55C2×C4×D4×C61C2211yescharacteristic
56C2×#102×C61C2211yescharacteristic
57C2×#102×C61C2211yescharacteristic
58C2×#97×C61C2211yescharacteristic
59C4×C4⋊C4×C61C2211yescharacteristic
60C61×#340C2211yescharacteristic
61C61×#340C2211yescharacteristic
62C22×Dic122D411yescharacteristic
63C22×Dic122C2311yescharacteristic
64C22×D244C2311yescharacteristic
65C22×C22⋊D61—21no—
66C22×C22⋊D61—21no—
67C22×C4×D61—21no—
68C22×#92418C2311yescharacteristic
69C22×#92418C2311yescharacteristic
70#14519773—22no—
71#14519773C2×C414yes—
72#14519765—22no—
73#14519765C2×C414yes—
74#14519764—22no—
75#14519764C2×C414yes—
76#14519763—28no—
77#14519760—28no—
78#14519759—28no—
79C4×Dic122—44no—
80C4×Dic122C2×C414yes—
81C4×Dic122D414yes—
82#14519742—22no—
83#14519742C2×C414yes—
84#14519739—22no—
85#14519739C2×C414yes—
86C4×C22⋊D61—28no—
87C2×C4⋊Dic61—21no—
88C2×C4⋊Dic61—21no—
89C2×C4⋊Dic61D411yescharacteristic
90C2×C4⋊Dic61C2311yescharacteristic
91C2×C4⋊Dic61C2311yescharacteristic
92C2×#11758196—21no—
93C2×#11758196—21no—
94C2×#11758196—21no—
95C2×#11758196—21no—
96C2×#11758196—21no—
97C2×#11758196D411yescharacteristic
98C2×#11758196D411yescharacteristic
99C2×C22⋊Dic61—21no—
100C2×C22⋊Dic61—21no—
101C2×#11758198—21no—
102C2×#11758198—21no—
103C2×#11758198—21no—
104C2×C4×Dic61—21no—
105C2×C4×Dic61—21no—
106C2×C4×Dic61—21no—
107C2×C4×Dic61C2311yescharacteristic
108C2×C4×Dic61C2311yescharacteristic
109C4⋊#92418—22no—
110#14519706—22no—
111#14519706—22no—
112#14519702—22no—
113#14519702—41no—
114#14519700—22no—
115#14519700—41no—
116#14519699—22no—
117#14519699—41no—
118#14519698—41no—
119#14519698—41no—
120#14519697—22no—
121#14519697—41no—
122#14519687—22no—
123C8×Dic61—22no—
124#14519684—21no—
125#14519684—21no—
126C22×D4×C61C2311yescharacteristic
127C23×C4×C61—21no—
128C22×C8×C61C2311yescharacteristic
129C22×C8×C61C2311yescharacteristic
130C4×D4×C61—22no—
131C4×D4×C61C2×C414yes—
132C2×C4⋊C4×C61C2311yescharacteristic
133C2×C4⋊C4×C61C2311yescharacteristic
134C2×C4⋊C4×C61C2311yescharacteristic
135C2×C22⋊C4×C61—21no—
136C2×C42×C61—21no—
137C2×C42×C61C2311yescharacteristic
138#102×C61—22no—
139#102×C61—22no—
140#97×C61—22no—
141#95×C61—21no—
142C24×C61—21no—
143C23×D61—21no—
144C2×D4×C61—21no—
145C2×D4×C61—21no—
146C2×D4×C61—21no—
147C2×D4×C61—21no—
148C2×D4×C61—21no—
149C2×D4×C61C22×C412yes—
150C22×C4×C61—21no—
151C22×C4×C61—21no—
152C22×C4×C61—24no—
153C22×C4×C61—21no—
154C22×C4×C61—81no—
155C22×C4×C61—81no—
156C22×C4×C61C2×D411yescharacteristic
157C22×C4×C61C2×D411yescharacteristic
158C22×C4×C61C2411yescharacteristic
159C2×C22⋊D61—24no—
160C2×C22⋊D61—24no—
161C2×C22⋊D61—42no—
162C2×C22⋊D61—42no—
163C2×C22⋊D61—81no—
164C2×C22⋊D61—81no—
165C22×Dic61—21no—
166C22×Dic61—21no—
167C22×Dic61—21no—
168C22×Dic61C2×D411yescharacteristic
169C22×Dic61C2×D411yescharacteristic
170C22×Dic61C2×D411yescharacteristic
171C22×Dic61C2×D411yescharacteristic
172C2×D244—21no—
173C2×D244—21no—
174C2×D244—21no—
175C2×D244—21no—
176C2×D244—21no—
177C2×D244C22×C412yes—
178C2×C4×D61—24no—
179C2×C4×D61—81no—
180C2×C4×D61—81no—
181C2×Dic122—22no—
182C2×Dic122—22no—
183C2×Dic122—21no—
184C2×Dic122—21no—
185C2×Dic122—21no—
186C2×Dic122—21no—
187C2×Dic122—21no—
188C2×Dic122C22⋊C414yes—
189C2×Dic122C22×C412yes—
190C2×C8×C61—21no—
191C2×C8×C61—21no—
192C2×C8×C61—21no—
193C2×C8×C61—21no—
194C2×C8×C61—21no—
195C2×C8×C61#4112yes—
196C4⋊C4×C61—21no—
197C4⋊C4×C61—21no—
198C4⋊C4×C61—21no—
199C4⋊C4×C61—21no—
200C4⋊C4×C61C22×C412yes—
201C4⋊C4×C61#4112yes—
202C22⋊C4×C61—24no—
203C42×C61—42no—
204C42×C61C22×C412yes—
205C42×C61C2×D412yes—
206C22⋊Dic61—24no—
207C22⋊Dic61—24no—
208#11758198—24no—
209#11758198—24no—
210#11758198—24no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61—42no—
216C4⋊Dic61—81no—
217C4⋊Dic61C22⋊C414yes—
218#11758196—24no—
219#11758196—42no—
220#11758196—42no—
221#11758196—81no—
222#11758196—81no—
223#11758196C22⋊C414yes—
224#11758196C22⋊C414yes—
225C4×Dic61—24no—
226C4×Dic61—42no—
227C4×Dic61—42no—
228C4×Dic61C22×C412yes—
229C4×Dic61C22×C412yes—
230C4×Dic61C2×D412yes—
231C4×Dic61C2×D412yes—
232C2×#92418—21no—
233C2×#92418—21no—
234C2×#92418—21no—
235C2×#92418—21no—
236C2×#92418—21no—
237C2×#92418—21no—
238C23×C61—22no—
239C23×C61—41no—
240C23×C61—41no—
241C23×C61—41no—
242C23×C61—41no—
243C23×C61—41no—
244C23×C61—41no—
245C23×C61C22×D411yescharacteristic
246C22×D61—22no—
247C22×D61—41no—
248C22×D61—41no—
249C22×D61—41no—
250C22×D61—41no—
251C22×D61—41no—
252C22×D61—41no—
253D4×C61—22no—
254D4×C61—22no—
255D4×C61—41no—
256D4×C61—41no—
257C2×C4×C61—21no—
258C2×C4×C61—21no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—22no—
262C2×C4×C61—22no—
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×C61—41no—
270C2×C4×C61—84no—
271C2×C4×C61C2×C22⋊C412yes—
272C2×C4×C61C2×C22⋊C412yes—
273C2×C4×C61C23×C411yescharacteristic
274C2×C4×C61C22×D411yescharacteristic
275C2×C4×C61C2×#4111yescharacteristic
276C2×C4×C61C2×#4111yescharacteristic
277C2×C4×C61H(5,𝔽2)11yescharacteristic
278C2×C4×C612−1+411yescharacteristic
279C22⋊D61—48no—
280C22⋊D61—84no—
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—21no—
285C2×Dic61—21no—
286C2×Dic61—21no—
287C2×Dic61—22no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61C2×C22⋊C412yes—
297C2×Dic61C2×C22⋊C412yes—
298C2×Dic61C2×C22⋊C412yes—
299C2×Dic61C2×C22⋊C412yes—
300C2×Dic61AGL(1,ℤ/8)12yes—
301C2×Dic61#13712yes—
302D244—22no—
303D244—22no—
304D244—41no—
305D244—41no—
306C4×D61—84no—
307Dic122—28no—
308Dic122—22no—
309Dic122—22no—
310Dic122—41no—
311Dic122—41no—
312C8×C61—22no—
313C8×C61—41no—
314#92418—41no—
315#92418—41no—
316#22546—611nomaximal, Sylow
317C22×C61—42no—
318C22×C61—42no—
319C22×C61—42no—
320C22×C61—81no—
321C22×C61—81no—
322C22×C61—81no—
323C22×C61—81no—
324C22×C61C22×C22⋊C411yescharacteristic
325C22×C61#54811yescharacteristic
326C22×C61#55011yescharacteristic
327C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
328C22×C61C2×#13711yescharacteristic
329C22×C61#57611yescharacteristic
330C22×C61#57711yescharacteristic
331C2×D61—42no—
332C2×D61—42no—
333C2×D61—42no—
334C2×D61—81no—
335C2×D61—81no—
336C2×D61—81no—
337C2×D61—81no—
338C4×C61—22no—
339C4×C61—22no—
340C4×C61—42no—
341C4×C61—42no—
342C4×C61—81no—
343C4×C61C4×#4111yescharacteristic
344C4×C61#52011yescharacteristic
345C4×C61#54811yescharacteristic
346C4×C61#55011yescharacteristic
347Dic61—22no—
348Dic61—22no—
349Dic61—22no—
350Dic61—42no—
351Dic61—81no—
352Dic61—81no—
353Dic61#41714yes—
354C2×#559—611no—
355C2×#446—611no—
356Q8×C4⋊C4—611no—
357#1983—611no—
358#1983—611no—
359#1982—611no—
360#1959—611no—
361#1959—611no—
362#1957—611no—
363#1803—611no—
364#1802—611no—
365#1802—611no—
366#1762—611no—
367#1762D6111yescharacteristic, complemented
368C4×#103—611no—
369C2×C61—82no—
370C2×C61#234111yescharacteristic
371C2×C61C2×#41711yescharacteristic
372C2×C61#289711yescharacteristic
373C2×C61#337311yescharacteristic
374C2×C61#337511yescharacteristic
375C2×C61#339911yescharacteristic
376C2×C61#340011yescharacteristic
377D61—82no—
378#559—618no—
379#559—1224no—
380C2×#127—611no—
381C2×#124—611no—
382C2×#124—611no—
383C2×#124—1221no—
384C2×#123—1221no—
385C2×#123—1221no—
386C2×C4×Q8—611no—
387C2×C4×Q8—611no—
388C2×C4×Q8—1221no—
389C2×C4×D4—611no—
390C2×C4×D4—1221no—
391C2×C4×D4C2×D6111yescharacteristic
392#446—1224no—
393C2×C4⋊C8—611no—
394C2×C4⋊C8—611no—
395C2×C4⋊C8—611no—
396C2×#103—611no—
397C2×#103—611no—
398C2×#103—611no—
399C2×#103—611no—
400C2×#102—611no—
401C2×#102—611no—
402C2×#102—611no—
403C2×#102—611no—
404C2×#102—611no—
405C2×#102—611no—
406C2×#102C2×D6111yescharacteristic
407C2×#102C2×D6111yescharacteristic
408C2×#97—611no—
409C2×#97C2×D6111yescharacteristic
410C2×C4×C8—611no—
411#389—1221no—
412#389—1221no—
413#389—1221no—
414#384—611no—
415#384—611no—
416#384—611no—
417C4×C4⋊C4—611no—
418C4×C4⋊C4—611no—
419C4×C4⋊C4C2×D6111yescharacteristic
420#340—611no—
421#340—611no—
422#340C2×D6111yescharacteristic
423#340C2×D6111yescharacteristic
424C61#2254611yescharacteristic, complemented, Sylow
425C22×Q8—611no—
426C22×Q8—611no—
427C22×D4—611no—
428C22×D4—1221no—
429C22×D4—1221no—
430C22×D4C22×D6111yescharacteristic
431C23×C4—21no—
432C23×C4—1221no—
433C22×C8—611no—
434C22×C8—611no—
435C22×C8C22×D6111yescharacteristic
436C22×C8C22×D6111yescharacteristic
437#127—614no—
438#127—1222no—
439#124—614no—
440#124—614no—
441#124—1222no—
442#124—1228no—
443#124—1222no—
444#123—1228no—
445#123—1228no—
446C4×Q8—614no—
447C4×Q8—614no—
448C4×Q8—614no—
449C4×Q8—1222no—
450C4×Q8—2444no—
451C4×D4—22no—
452C4×D4—614no—
453C4×D4—1222no—
454C4×D4—1228no—
455C4×D4C4×D6114yes—
456C2×C4⋊C4—611no—
457C2×C4⋊C4—611no—
458C2×C4⋊C4—611no—
459C2×C4⋊C4—611no—
460C2×C4⋊C4—611no—
461C2×C4⋊C4—1221no—
462C2×C4⋊C4—1221no—
463C2×C4⋊C4—1221no—
464C2×C4⋊C4—1221no—
465C2×C4⋊C4—1221no—
466C2×C4⋊C4—1221no—
467C2×C4⋊C4—1221no—
468C2×C4⋊C4C22×D6111yescharacteristic
469C2×C4⋊C4C22×D6111yescharacteristic
470C2×C4⋊C4C22×D6111yescharacteristic
471C2×C22⋊C4—21no—
472C2×C22⋊C4—1221no—
473C2×C22⋊C4—1221no—
474C2×C22⋊C4—1221no—
475C2×C22⋊C4—1221no—
476C2×C22⋊C4—1221no—
477C2×C42—21no—
478C2×C42—611no—
479C2×C42—611no—
480C2×C42—1221no—
481C2×C42—1221no—
482C2×C42—1221no—
483C2×C42C22×D6111yescharacteristic
484C4⋊C8—1222no—
485C4⋊C8—1222no—
486C4⋊C8—1222no—
487#103—1222no—
488#103—1222no—
489#103—2441no—
490#103—2441no—
491#102—22no—
492#102—22no—
493#102—1222no—
494#102—1222no—
495#102—2441no—
496#102—2441no—
497#102—2441no—
498#102—2441no—
499#97—22no—
500#97—1222no—
501C4×C8—1222no—
502#95—21no—
503#95—1221no—
504#95—1221no—
505C24—21no—
506C24—1221no—
507C2×Q8—614no—
508C2×Q8—612no—
509C2×Q8—1222no—
510C2×Q8—1222no—
511C2×Q8—1221no—
512C2×Q8—1221no—
513C2×Q8—1221no—
514C2×Q8—1221no—
515C2×Q8—1221no—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—612no—
522C2×D4—1224no—
523C2×D4—1224no—
524C2×D4—1221no—
525C2×D4—1221no—
526C2×D4—1221no—
527C2×D4—1221no—
528C2×D4—1221no—
529C2×D4—4881no—
530C2×D4—4881no—
531C2×D4—2442no—
532C2×D4—2442no—
533C2×D4C2×C4×D6112yes—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—24no—
537C22×C4—21no—
538C22×C4—81no—
539C22×C4—81no—
540C22×C4—611no—
541C22×C4—611no—
542C22×C4—611no—
543C22×C4—611no—
544C22×C4—1224no—
545C22×C4—1221no—
546C22×C4—1221no—
547C22×C4—1221no—
548C22×C4—4881no—
549C22×C4—4881no—
550C22×C4D4×D6111yescharacteristic
551C22×C4D4×D6111yescharacteristic
552C22×C4C23×D6111yescharacteristic
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—1221no—
559C2×C8—1221no—
560C2×C8—1221no—
561C2×C8—1221no—
562C2×C8—1221no—
563C2×C8—1221no—
564C2×C8#1175822212yes—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—614no—
570C4⋊C4—614no—
571C4⋊C4—614no—
572C4⋊C4—1224no—
573C4⋊C4—1221no—
574C4⋊C4—1221no—
575C4⋊C4—1221no—
576C4⋊C4—1221no—
577C4⋊C4—4881no—
578C4⋊C4—4881no—
579C4⋊C4—4881no—
580C4⋊C4—2442no—
581C4⋊C4—2442no—
582C4⋊C4—2442no—
583C4⋊C4C2×C4×D6112yes—
584C4⋊C4#1175822212yes—
585C22⋊C4—24no—
586C22⋊C4—1224no—
587C22⋊C4—1224no—
588C22⋊C4—1224no—
589C22⋊C4—1224no—
590C22⋊C4—1224no—
591C42—42no—
592C42—612no—
593C42—612no—
594C42—612no—
595C42—612no—
596C42—1224no—
597C42—2442no—
598C42—2442no—
599C42C2×C4×D6112yes—
600C42D4×D6112yes—
601C23—22no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—1222no—
609C23—2441no—
610C23—2441no—
611C23—2441no—
612C23—2441no—
613C23—2441no—
614C23—2441no—
615C23C2×D4×D6111yescharacteristic
616Q8—1228no—
617Q8—1222no—
618Q8—1222no—
619Q8—2441no—
620Q8—2441no—
621D4—22no—
622D4—22no—
623D4—41no—
624D4—41no—
625D4—1222no—
626D4—1222no—
627D4—4884no—
628D4—2448no—
629D4—2441no—
630D4—2441no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—84no—
645C2×C4—612no—
646C2×C4—612no—
647C2×C4—612no—
648C2×C4—612no—
649C2×C4—612no—
650C2×C4—612no—
651C2×C4—1221no—
652C2×C4—1221no—
653C2×C4—1221no—
654C2×C4—1221no—
655C2×C4—1221no—
656C2×C4—1221no—
657C2×C4—1222no—
658C2×C4—4884no—
659C2×C4—2441no—
660C2×C4—2441no—
661C2×C4—2441no—
662C2×C4—2441no—
663C2×C4—2441no—
664C2×C4—2441no—
665C2×C4—2441no—
666C2×C4—2441no—
667C2×C4C22⋊C4×D6112yes—
668C2×C4C22⋊C4×D6112yes—
669C2×C4C22×C4×D6111yescharacteristic
670C2×C4C2×D4×D6111yescharacteristic
671C2×C4C2×#1175822211yescharacteristic
672C2×C4C2×#1175822211yescharacteristic
673C2×C4#1451982311yescharacteristic
674C2×C4#1451982411yescharacteristic
675C8—22no—
676C8—41no—
677C8—2441no—
678C8—2441no—
679C22—42no—
680C22—42no—
681C22—42no—
682C22—81no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22—4881no—
687C22—4881no—
688C22—4881no—
689C22—4881no—
690C22—2442no—
691C22—2442no—
692C22—2442no—
693C22C2×C22⋊C4×D6111yescharacteristic
694C22#1684042111yescharacteristic
695C22#1684043311yescharacteristic
696C22AGL(1,ℤ/8)×D6111yescharacteristic
697C22#137×D6111yescharacteristic
698C22#1684056611yescharacteristic
699C22#1684057211yescharacteristic
700C4—22no—
701C4—22no—
702C4—42no—
703C4—42no—
704C4—81no—
705C4—614no—
706C4—1222no—
707C4—1222no—
708C4—1222no—
709C4—4881no—
710C4—4881no—
711C4—2442no—
712C4C4×#1175822211yescharacteristic
713C4#1684024211yescharacteristic
714C4#1684042111yescharacteristic
715C4#1684043311yescharacteristic
716C2—82no—
717C2—4882no—
718C2#2144865911yescharacteristic
719C2#417×D6111yescharacteristic
720C2#2145434411yescharacteristic
721C2#2145861211yescharacteristic
722C2#2145863411yescharacteristic
723C2#2145886211yescharacteristic
724C2#2145887311yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1762C2
socleC23×C61C22×D4
prime radicalC2×#14519773C22
cosocleC22×C4×C61C24
hypercenter#1762D61
hypocenterC61#22546
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1762

Complements

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

NH ≅ G/Ntype
2. C2×#16839890C2semidirect
3. C4⋊C4×Dic122C2semidirect
4. #21446751C2semidirect
5. #21446750C2semidirect
7. #21446635C2semidirect
8. #21446634C2semidirect
10. #21445823C2semidirect
11. #21445819C2semidirect
12. #21445818C2semidirect
13. #21445643C2semidirect
14. #21445638C2semidirect
15. C61×#1762C2semidirect
17. #16840495C4semidirect
367. #1762D61semidirect
424. C61#22546semidirect

Maximal subgroups

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

subgroupindex
C2×#168404952
C2×#168398902
C4⋊C4×Dic1222
#214467512
#214467502
#214467442
#214466352
#214466342
#214466232
#214458232
#214458192
#214458182
#214456432
#214456382
C61×#17622
#2254661