Finite Group Databasebeta

← #29722412

Subgroups — #29722412

Order 15616.

956 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840019C211yesmaximal, characteristic, complemented
2C2×#16840018C211yesmaximal, characteristic, complemented
3C2×#16839837C211yesmaximal, characteristic
4C2×#16839802C211yesmaximal, characteristic, complemented
5#21449264C211yesmaximal, characteristic
6#21449249C211yesmaximal, characteristic
7#21447210C211yesmaximal, characteristic, complemented
8#21447201C211yesmaximal, characteristic, complemented
9#21447025C211yesmaximal, characteristic, complemented
10#21447013C211yesmaximal, characteristic, complemented
11#21446677C211yesmaximal, characteristic, complemented
12#21446546C211yesmaximal, characteristic, complemented
13#21446129C211yesmaximal, characteristic, complemented
14#21445851C211yesmaximal, characteristic, complemented
15C61×#1872C211yesmaximal, characteristic, complemented
16C22×#11758202C2211yescharacteristic
17C22×#11758194C2211yescharacteristic
18C22×#11758189C2211yescharacteristic
19C2×#14519757C2211yescharacteristic
20C2×#14519756C2211yescharacteristic
21C2×#14519753C2211yescharacteristic
22C2×C4×C22⋊D61C2211yescharacteristic
23C2×#14519736C2211yescharacteristic
24#16840019—24no—
25#16840018—24no—
26#16839837—24no—
27#16839802—24no—
28C2×#14519710C2211yescharacteristic
29C2×#14519710C2211yescharacteristic
30C2×#14519708C2211yescharacteristic
31C2×#14519708C2211yescharacteristic
32C2×#14519708C2211yescharacteristic
33C2×#14519706C2211yescharacteristic
34C2×#14519702C2211yescharacteristic
35C2×#14519702C2211yescharacteristic
36C2×#14519701C2211yescharacteristic
37C2×#14519700C2211yescharacteristic
38C2×#14519689C2211yescharacteristic
39C2×C8×Dic61C2211yescharacteristic
40#16839692—21no—
41#16839690—21no—
42#16839684—21no—
43#16839677—21no—
44#16839669C2211yescharacteristic
45#16839667C2211yescharacteristic
46#16839661C2211yescharacteristic
47#16839658C2211yescharacteristic
48#16839657—21no—
49#16839652—21no—
50#16839641—21no—
51#16839622—21no—
52#16839619C2211yescharacteristic
53#16839619C2211yescharacteristic
54#16839525C2211yescharacteristic
55#16839525C2211yescharacteristic
56C2×C22⋊Q8×C61C2211yescharacteristic
57C22×C4⋊C4×C61C2211yescharacteristic
58C2×#103×C61C2211yescharacteristic
59C2×#103×C61C2211yescharacteristic
60C2×C22⋊C8×C61C2211yescharacteristic
61C61×#340C2211yescharacteristic
62C61×#340C2211yescharacteristic
63C22×Dic122C2311yescharacteristic
64C22×C22⋊D61D411yescharacteristic
65C22×C4×D61C2311yescharacteristic
66C2×#11758202—22no—
67C2×#11758202—22no—
68C2×#11758202—22no—
69C2×#11758194—22no—
70C2×#11758194—22no—
71C2×#11758194D414yes—
72C2×#11758189—22no—
73C2×#11758189—22no—
74C2×#11758189—22no—
75C22×#92418C2311yescharacteristic
76C22×#92418C2311yescharacteristic
77#14519757—22no—
78#14519757—41no—
79#14519756—22no—
80#14519756—22no—
81#14519753—22no—
82#14519753—41no—
83C4×C22⋊D61—22no—
84C4×C22⋊D61—22no—
85#14519736—22no—
86#14519736—41no—
87C2×C4⋊Dic61—21no—
88C2×C4⋊Dic61—21no—
89C2×C4⋊Dic61C2311yescharacteristic
90C2×C4⋊Dic61C2311yescharacteristic
91C2×C4⋊Dic61C2311yescharacteristic
92C2×#11758196—21no—
93C2×#11758196—21no—
94C2×#11758196—21no—
95C2×#11758196D411yescharacteristic
96C2×C22⋊Dic61—21no—
97C2×C22⋊Dic61—21no—
98C2×C22⋊Dic61D411yescharacteristic
99C2×#11758198—21no—
100C2×#11758198—21no—
101C2×#11758198—21no—
102C2×#11758198—21no—
103C2×#11758198D411yescharacteristic
104C2×C4×Dic61—21no—
105C2×C4×Dic61C2311yescharacteristic
106#14519710—22no—
107#14519710—22no—
108#14519708—22no—
109#14519708—22no—
110#14519708D414yescomplemented
111#14519706—22no—
112#14519702—22no—
113#14519702—41no—
114#14519701—22no—
115#14519700—22no—
116#14519689—22no—
117C8×Dic61—22no—
118#14519684—21no—
119#14519684—21no—
120#14519684—21no—
121#14519684—21no—
122#14519684—21no—
123#14519684—21no—
124#14519684—21no—
125#14519684—21no—
126C22×Q8×C61C2311yescharacteristic
127C23×C4×C61—21no—
128C23×C4×C61C2311yescharacteristic
129C22×C8×C61C2311yescharacteristic
130C22×C8×C61C2311yescharacteristic
131C22⋊Q8×C61—22no—
132C22⋊Q8×C61—22no—
133C2×C4⋊C4×C61—22no—
134C2×C4⋊C4×C61—21no—
135C2×C4⋊C4×C61—21no—
136C2×C4⋊C4×C61—41no—
137C2×C4⋊C4×C61C2311yescharacteristic
138C2×C4⋊C4×C61C2311yescharacteristic
139C2×C4⋊C4×C61C2311yescharacteristic
140C2×C22⋊C4×C61—21no—
141#103×C61—22no—
142#103×C61—41no—
143C22⋊C8×C61—22no—
144C24×C61C2×D411yescharacteristic
145C23×D61C2×D411yescharacteristic
146C2×Q8×C61—21no—
147C2×Q8×C61—21no—
148C2×Q8×C61—21no—
149C2×Q8×C61—21no—
150C2×Q8×C61—21no—
151C2×Q8×C61—21no—
152C22×C4×C61—21no—
153C22×C4×C61—21no—
154C22×C4×C61—21no—
155C22×C4×C61—21no—
156C22×C4×C61—21no—
157C22×C4×C61—21no—
158C22×C4×C61—21no—
159C22×C4×C61—21no—
160C22×C4×C61—42no—
161C22×C4×C61—42no—
162C22×C4×C61—81no—
163C22×C4×C61C2×D411yescharacteristic
164C22×C4×C61C2×D412yes—
165C22×C4×C61#4112yes—
166C22×C4×C61C2411yescharacteristic
167C2×C22⋊D61—22no—
168C2×C22⋊D61—22no—
169C2×C22⋊D61—41no—
170C22×Dic61—21no—
171C22×Dic61—21no—
172C22×Dic61—21no—
173C22×Dic61—21no—
174C22×Dic61C2×D411yescharacteristic
175C22×Dic61C2×D411yescharacteristic
176C22×Dic61C2×D411yescharacteristic
177C2×C4×D61—21no—
178C2×C4×D61—21no—
179C2×C4×D61—21no—
180C2×C4×D61—21no—
181C2×C4×D61—21no—
182C2×C4×D61—21no—
183C2×Dic122—21no—
184C2×Dic122—21no—
185C2×Dic122—21no—
186C2×Dic122—21no—
187C2×Dic122—21no—
188C2×Dic122—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—
195C4⋊C4×C61—21no—
196C4⋊C4×C61—21no—
197C4⋊C4×C61—21no—
198C4⋊C4×C61—21no—
199C4⋊C4×C61—21no—
200C4⋊C4×C61—42no—
201C4⋊C4×C61—42no—
202C4⋊C4×C61C2×D412yes—
203C22⋊C4×C61—42no—
204C22⋊Dic61—22no—
205C22⋊Dic61—42no—
206C22⋊Dic61—42no—
207#11758202—44no—
208#11758198—22no—
209#11758198—42no—
210#11758198—42no—
211#11758198—42no—
212#11758198—81no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61—21no—
216C4⋊Dic61—21no—
217C4⋊Dic61—21no—
218C4⋊Dic61—42no—
219C4⋊Dic61—81no—
220C4⋊Dic61C2×D412yes—
221#11758196—22no—
222#11758196—42no—
223#11758196—42no—
224#11758196—42no—
225C4×Dic61—21no—
226C4×Dic61—21no—
227C4×Dic61—42no—
228#11758194—28no—
229C2×#92418—21no—
230C2×#92418—21no—
231C2×#92418C2×D412yes—
232C2×#92418C2×D412yes—
233C2×#92418C2×D412yes—
234C2×#92418#4112yes—
235#11758189—44no—
236C23×C61—21no—
237C23×C61—21no—
238C23×C61—21no—
239C23×C61—21no—
240C23×C61—21no—
241C23×C61—21no—
242C23×C61#12112yes—
243C23×C61C22×D411yescharacteristic
244C22×D61—21no—
245C22×D61—21no—
246C22×D61—21no—
247C22×D61—21no—
248C22×D61—21no—
249C22×D61—21no—
250C22×D61—21no—
251Q8×C61—41no—
252Q8×C61—41no—
253Q8×C61—41no—
254Q8×C61—41no—
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×C61—22no—
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×C61—41no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61—84no—
274C2×C4×C61#12112yes—
275C2×C4×C61C22×D411yescharacteristic
276C2×C4×C61C22×D411yescharacteristic
277C2×C4×C61C2×#4111yescharacteristic
278C2×C4×C61C2×#4111yescharacteristic
279C2×C4×C61H(5,𝔽2)11yescharacteristic
280C2×C4×C612−1+411yescharacteristic
281C22⋊D61—44no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—21no—
285C2×Dic61—21no—
286C2×Dic61—22no—
287C2×Dic61—21no—
288C2×Dic61—21no—
289C2×Dic61—21no—
290C2×Dic61—21no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302C2×Dic61#13712yes—
303C4×D61—41no—
304C4×D61—41no—
305C4×D61—41no—
306C4×D61—41no—
307Dic122—41no—
308Dic122—41no—
309Dic122—41no—
310Dic122—41no—
311C8×C61—41no—
312C8×C61—41no—
313#92418—22no—
314#92418#12114yes—
315#24793—611nomaximal, Sylow
316C22×C61—22no—
317C22×C61—22no—
318C22×C61—22no—
319C22×C61—41no—
320C22×C61—41no—
321C22×C61—41no—
322C22×C61—41no—
323C22×C61C2×#12111yescharacteristic
324C22×C61D4211yescharacteristic
325C22×C61#54711yescharacteristic
326C22×C61C2×#13711yescharacteristic
327C22×C61#57511yescharacteristic
328C22×C61#57711yescharacteristic
329C22×C61#57811yescharacteristic
330C2×D61—41no—
331C2×D61—41no—
332C2×D61—41no—
333C2×D61—41no—
334C2×D61—41no—
335C2×D61—41no—
336C2×D61—41no—
337C4×C61—22no—
338C4×C61—42no—
339C4×C61—81no—
340C4×C61—81no—
341C4×C61—81no—
342C4×C61C2×#12111yescharacteristic
343C4×C61#53711yescharacteristic
344C4×C61#54811yescharacteristic
345C4×C61#55311yescharacteristic
346Dic61—22no—
347Dic61—41no—
348Dic61—42no—
349Dic61—41no—
350Dic61—81no—
351Dic61—81no—
352Dic61—81no—
353C2×#470—611no—
354C2×#470—611no—
355C2×#436—611no—
356C2×#428—611no—
357#2417—611no—
358#2415—611no—
359#2068—611no—
360#2066—611no—
361#2036—611no—
362#2035—611no—
363#1969—611no—
364#1941—611no—
365#1873—611no—
366#1872D6111yescharacteristic, complemented
367#1809—611no—
368C2×C61—42no—
369C2×C61#241611yescharacteristic
370C2×C61#305611yescharacteristic
371C2×C61#306311yescharacteristic
372C2×C61#327511yescharacteristic
373C2×C61#327611yescharacteristic
374C2×C61#335211yescharacteristic
375C2×C61#335611yescharacteristic
376D61—81no—
377C22×Q16—611no—
378C22×M16—611no—
379C22×M16—611no—
380C2×C22⋊Q8—611no—
381C2×C22⋊Q8—611no—
382C2×C22⋊Q8—611no—
383C2×C22⋊Q8C2×D6111yescharacteristic
384C2×C4×D4—611no—
385C2×#117—611no—
386C22×C4⋊C4C2×D6111yescharacteristic
387#470—1224no—
388#470—1224no—
389#436—1224no—
390#428—1224no—
391C2×#107—611no—
392C2×#107—611no—
393C2×#106—611no—
394C2×#106—611no—
395C2×#106—611no—
396C2×C4⋊C8—611no—
397C2×#103—611no—
398C2×#103—611no—
399C2×#103—611no—
400C2×#103—611no—
401C2×#103C2×D6111yescharacteristic
402C2×#103C2×D6111yescharacteristic
403C2×C22⋊C8—611no—
404C2×C22⋊C8C2×D6111yescharacteristic
405C2×C4×C8—611no—
406#398—1221no—
407#397—1221no—
408#396—1221no—
409#394—1221no—
410#391—611no—
411#391—611no—
412#389—611no—
413#389—611no—
414#389—1221no—
415#388—1221no—
416#386—1221no—
417#380—611no—
418#380—611no—
419#380—1221no—
420#340—611no—
421#340—611no—
422#340C2×D6111yescharacteristic
423#340C2×D6111yescharacteristic
424C61#2479311yescharacteristic, complemented, Sylow
425C22×Q8—611no—
426C22×Q8C22×D6111yescharacteristic
427C22×D4—611no—
428C23×C4—21no—
429C23×C4—611no—
430C23×C4C22×D6111yescharacteristic
431C2×Q16—1222no—
432C2×Q16—1222no—
433C2×Q16—1222no—
434C2×M16—614no—
435C2×M16—1222no—
436C2×M16—1222no—
437C2×M16—1222no—
438C2×M16—1222no—
439C2×M16—1222no—
440C22×C8—611no—
441C22×C8—611no—
442C22×C8C22×D6111yescharacteristic
443C22×C8C22×D6111yescharacteristic
444C22⋊Q8—22no—
445C22⋊Q8—22no—
446C22⋊Q8—1222no—
447C22⋊Q8—1222no—
448C22⋊Q8—1222no—
449C22⋊Q8—1222no—
450C22⋊Q8—2441no—
451C22⋊Q8—2441no—
452C4×D4—1222no—
453C4×D4—1222no—
454#117—1222no—
455#117—2441no—
456C2×C4⋊C4—22no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—41no—
460C2×C4⋊C4—611no—
461C2×C4⋊C4—611no—
462C2×C4⋊C4—611no—
463C2×C4⋊C4—611no—
464C2×C4⋊C4—1221no—
465C2×C4⋊C4—1221no—
466C2×C4⋊C4—1221no—
467C2×C4⋊C4—1221no—
468C2×C4⋊C4—1221no—
469C2×C4⋊C4C22×D6111yescharacteristic
470C2×C4⋊C4C22×D6111yescharacteristic
471C2×C4⋊C4C22×D6111yescharacteristic
472C2×C22⋊C4—21no—
473C2×C22⋊C4—611no—
474C2×C22⋊C4—611no—
475C2×C22⋊C4—1221no—
476C2×C22⋊C4—1221no—
477C2×C22⋊C4—1221no—
478C2×C22⋊C4—1221no—
479C2×C22⋊C4—1221no—
480C2×C22⋊C4—1221no—
481C2×C42—611no—
482C2×C42—1221no—
483#107—1222no—
484#107—1222no—
485#106—614no—
486#106—1222no—
487#106—1222no—
488C4⋊C8—1222no—
489#103—22no—
490#103—41no—
491#103—1222no—
492#103—1222no—
493#103—1222no—
494#103—2441no—
495C22⋊C8—22no—
496C22⋊C8—1222no—
497C4×C8—1222no—
498#95—1221no—
499#95—1221no—
500#95—1221no—
501#95—1221no—
502#95—1221no—
503#95—1221no—
504#95—1221no—
505#95—1221no—
506C24—611no—
507C24D4×D6111yescharacteristic
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—1221no—
515C2×Q8—1221no—
516C2×Q8—1221no—
517C2×Q8—1221no—
518C2×Q8—1221no—
519C2×Q8—1221no—
520C2×D4—1222no—
521C2×D4—1222no—
522C2×D4—2441no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—42no—
532C22×C4—42no—
533C22×C4—81no—
534C22×C4—611no—
535C22×C4—611no—
536C22×C4—611no—
537C22×C4—1221no—
538C22×C4—1221no—
539C22×C4—1221no—
540C22×C4—1221no—
541C22×C4—1221no—
542C22×C4—1221no—
543C22×C4—1221no—
544C22×C4—1221no—
545C22×C4—1221no—
546C22×C4—1221no—
547C22×C4#1175822212yes—
548C22×C4D4×D6112yes—
549C22×C4D4×D6111yescharacteristic
550C22×C4C23×D6111yescharacteristic
551Q16—2444no—
552M16—1228no—
553M16—2444no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—612no—
561C2×C8—612no—
562C2×C8—612no—
563C2×C8—612no—
564C2×C8—1221no—
565C2×C8—1221no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—612no—
574C4⋊C4—1221no—
575C4⋊C4—1222no—
576C4⋊C4—1221no—
577C4⋊C4—1221no—
578C4⋊C4—1221no—
579C4⋊C4—1221no—
580C4⋊C4—4881no—
581C4⋊C4—2442no—
582C4⋊C4—2442no—
583C4⋊C4—2442no—
584C4⋊C4—2442no—
585C4⋊C4D4×D6112yes—
586C22⋊C4—42no—
587C22⋊C4—1222no—
588C22⋊C4—1222no—
589C22⋊C4—4881no—
590C22⋊C4—2442no—
591C22⋊C4—2442no—
592C22⋊C4—2442no—
593C22⋊C4—2442no—
594C22⋊C4—2442no—
595C42—1221no—
596C42—1221no—
597C42—2442no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—1221no—
605C23—1221no—
606C23—1221no—
607C23—1221no—
608C23—1221no—
609C23—1221no—
610C23—1221no—
611C23#1451975012yes—
612C23C2×D4×D6111yescharacteristic
613Q8—41no—
614Q8—41no—
615Q8—41no—
616Q8—41no—
617Q8—2441no—
618Q8—2441no—
619Q8—2441no—
620Q8—2441no—
621D4—2444no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—84no—
641C2×C4—612no—
642C2×C4—1221no—
643C2×C4—1221no—
644C2×C4—1221no—
645C2×C4—1221no—
646C2×C4—1221no—
647C2×C4—1221no—
648C2×C4—1222no—
649C2×C4—1221no—
650C2×C4—1221no—
651C2×C4—2441no—
652C2×C4—2441no—
653C2×C4—2441no—
654C2×C4—2441no—
655C2×C4—2441no—
656C2×C4—2441no—
657C2×C4—2441no—
658C2×C4—2441no—
659C2×C4—2441no—
660C2×C4—2441no—
661C2×C4—2441no—
662C2×C4—2441no—
663C2×C4—2441no—
664C2×C4—2441no—
665C2×C4—2441no—
666C2×C4#1451975012yes—
667C2×C4C2×D4×D6111yescharacteristic
668C2×C4C2×D4×D6111yescharacteristic
669C2×C4#41×D6111yescharacteristic
670C2×C4C2×#1175822211yescharacteristic
671C2×C4#1451982211yescharacteristic
672C2×C4#1451982411yescharacteristic
673C8—41no—
674C8—41no—
675C8—614no—
676C8—1222no—
677C22—22no—
678C22—22no—
679C22—22no—
680C22—41no—
681C22—41no—
682C22—41no—
683C22—41no—
684C22—2441no—
685C22—2441no—
686C22—2441no—
687C22—2441no—
688C22—2441no—
689C22—2441no—
690C22—2441no—
691C22C2×#1451975011yescharacteristic
692C22#1684039411yescharacteristic
693C22#1684041011yescharacteristic
694C22#137×D6111yescharacteristic
695C22#1684055811yescharacteristic
696C22#1684056811yescharacteristic
697C22#1684057511yescharacteristic
698C4—22no—
699C4—42no—
700C4—81no—
701C4—81no—
702C4—81no—
703C4—1222no—
704C4—4881no—
705C4—4881no—
706C4—4881no—
707C4—2441no—
708C4—2442no—
709C4—2441no—
710C4#121×D6111yescharacteristic
711C4#1684033911yescharacteristic
712C4#1684042111yescharacteristic
713C4#1684046111yescharacteristic
714C2—42no—
715C2—4881no—
716C2#2144925811yescharacteristic
717C2#2145545211yescharacteristic
718C2#2145550811yescharacteristic
719C2#2145745411yescharacteristic
720C2#2145745811yescharacteristic
721C2#2145839411yescharacteristic
722C2#2145842711yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#1872C2
socleC23×C61C22×D4
prime radicalC22×C22⋊D61D4
hypercenter#1872D61
hypocenterC61#24793
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1872

Complements

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

NH ≅ G/Ntype
1. C2×#16840019C2semidirect
2. C2×#16840018C2semidirect
4. C2×#16839802C2semidirect
7. #21447210C2semidirect
8. #21447201C2semidirect
9. #21447025C2semidirect
10. #21447013C2semidirect
11. #21446677C2semidirect
12. #21446546C2semidirect
13. #21446129C2semidirect
14. #21445851C2semidirect
15. C61×#1872C2semidirect
110. #14519708D4semidirect
366. #1872D61semidirect
424. C61#24793semidirect

Maximal subgroups

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

subgroupindex
C2×#168400192
C2×#168400182
C2×#168398372
C2×#168398022
#214492642
#214492492
#214472102
#214472012
#214470252
#214470132
#214466772
#214465462
#214461292
#214458512
C61×#18722
#2479361