Finite Group Databasebeta

← #29609377

Subgroups — #29609377

Order 15616.

2282 conjugacy classes of subgroups.

The subgroup lattice has 774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839671C211yesmaximal, characteristic
2C2×#16839662C212yesmaximal, complemented
3C2×#16839654C212yesmaximal, complemented
4C2×#16839641C212yesmaximal, complemented
5#21444064C211yesmaximal, characteristic, complemented
6#21444063C212yesmaximal, complemented
7#21444059C212yesmaximal, complemented
8#21444054C212yesmaximal, complemented
9C61×C22⋊#95C211yesmaximal, characteristic, complemented
10C23×D244C2211yescharacteristic
11C23×C22⋊D61C2212yes—
12C22×C4⋊Dic61C2211yescharacteristic
13C22×#11758196C2212yes—
14C22×C22⋊Dic61C2212yes—
15C22×#11758198C2212yes—
16C22×#11758198C2212yes—
17C22×#11758198C2212yes—
18C22×#11758198C2212yes—
19C22×#11758198C2212yes—
20C22×C4×Dic61C2212yes—
21#16839671C418yescomplemented
22#16839662—28no—
23#16839654—28no—
24#16839641—28no—
25C2×#14519684C2212yes—
26C2×#14519684C2212yes—
27C2×#14519684C2211yescharacteristic
28C2×#14519684C2211yescharacteristic
29C2×#14519684C2212yes—
30C24×C4×C61C2211yescharacteristic
31C22×C22⋊C4×C61C2211yescharacteristic
32C22×C22⋊C4×C61C2211yescharacteristic
33C2×#95×C61C2212yes—
34C2×#95×C61C2212yes—
35C24×D61C2312yes—
36C22×D244—42no—
37C22×D244—41no—
38C22×D244—41no—
39C22×D244—42no—
40C22×D244C2×C414yescomplemented
41C22×C22⋊D61—24no—
42C22×C22⋊D61—24no—
43C22×C22⋊D61—24no—
44C22×C22⋊D61—24no—
45C22×C22⋊D61—42no—
46C22×C22⋊D61—42no—
47C22×C22⋊D61C2×C418yes—
48C23×Dic61C2312yes—
49C23×Dic61C2312yes—
50C23×Dic61C2312yes—
51C2×C4⋊Dic61—24no—
52C2×C4⋊Dic61—41no—
53C2×#11758196—24no—
54C2×#11758196—24no—
55C2×#11758196—42no—
56C2×C22⋊Dic61—24no—
57C2×C22⋊Dic61—24no—
58C2×C22⋊Dic61—42no—
59C2×#11758198—24no—
60C2×#11758198—24no—
61C2×#11758198—24no—
62C2×#11758198—24no—
63C2×#11758198—24no—
64C2×#11758198—24no—
65C2×#11758198—24no—
66C2×#11758198—24no—
67C2×#11758198—42no—
68C2×#11758198—42no—
69C2×#11758198—42no—
70C2×#11758198—42no—
71C2×#11758198—42no—
72C2×#11758198—42no—
73C2×#11758198C2×C418yescomplemented
74C2×C4×Dic61—24no—
75C2×C4×Dic61—24no—
76C2×C4×Dic61—42no—
77#14519684—24no—
78#14519684—42no—
79#14519684—41no—
80#14519684C2×C414yescomplemented
81#14519684D418yescomplemented
82C25×C61C2311yescharacteristic
83C23×C4×C61—22no—
84C23×C4×C61—24no—
85C23×C4×C61—42no—
86C23×C4×C61—41no—
87C23×C4×C61—41no—
88C23×C4×C61C2311yescharacteristic
89C23×C4×C61C2311yescharacteristic
90C23×C4×C61C2312yes—
91C23×C4×C61C2312yes—
92C2×C22⋊C4×C61—41no—
93C2×C22⋊C4×C61—41no—
94C2×C22⋊C4×C61—41no—
95C2×C22⋊C4×C61—41no—
96C2×C22⋊C4×C61C2×C414yes—
97C2×C22⋊C4×C61D414yescomplemented
98#95×C61—24no—
99#95×C61—42no—
100C24×C61—22no—
101C24×C61—22no—
102C24×C61—22no—
103C24×C61—22no—
104C24×C61—21no—
105C24×C61—21no—
106C24×C61—21no—
107C24×C61—21no—
108C24×C61C22×C412yes—
109C24×C61C2×D412yes—
110C24×C61#4112yes—
111C24×C61C2411yescharacteristic
112C23×D61—22no—
113C23×D61—22no—
114C23×D61—22no—
115C23×D61—22no—
116C23×D61—22no—
117C23×D61—22no—
118C23×D61—22no—
119C23×D61—22no—
120C23×D61—22no—
121C23×D61—22no—
122C23×D61—22no—
123C23×D61—22no—
124C23×D61—22no—
125C23×D61—22no—
126C23×D61C22×C414yes—
127C22×C4×C61—22no—
128C22×C4×C61—22no—
129C22×C4×C61—22no—
130C22×C4×C61—22no—
131C22×C4×C61—22no—
132C22×C4×C61—22no—
133C22×C4×C61—22no—
134C22×C4×C61—21no—
135C22×C4×C61—21no—
136C22×C4×C61—22no—
137C22×C4×C61—22no—
138C22×C4×C61—22no—
139C22×C4×C61—21no—
140C22×C4×C61—22no—
141C22×C4×C61—22no—
142C22×C4×C61—21no—
143C22×C4×C61—22no—
144C22×C4×C61—22no—
145C22×C4×C61—22no—
146C22×C4×C61—22no—
147C22×C4×C61—44no—
148C22×C4×C61—48no—
149C22×C4×C61—48no—
150C22×C4×C61—44no—
151C22×C4×C61—44no—
152C22×C4×C61C22×C412yes—
153C22×C4×C61C22×C412yes—
154C22×C4×C61C2×D414yes—
155C22×C4×C61C2×D414yes—
156C2×C22⋊D61—216no—
157C2×C22⋊D61—216no—
158C2×C22⋊D61—48no—
159C2×C22⋊D61—48no—
160C2×C22⋊D61—48no—
161C2×C22⋊D61—48no—
162C2×C22⋊D61—48no—
163C22×Dic61—22no—
164C22×Dic61—22no—
165C22×Dic61—22no—
166C22×Dic61—22no—
167C22×Dic61—22no—
168C22×Dic61—22no—
169C22×Dic61—22no—
170C22×Dic61—22no—
171C22×Dic61—22no—
172C22×Dic61—22no—
173C22×Dic61—22no—
174C22×Dic61—22no—
175C22×Dic61—22no—
176C22×Dic61—22no—
177C22×Dic61—22no—
178C22×Dic61—22no—
179C22×Dic61—22no—
180C22×Dic61C22×C414yes—
181C22×Dic61C2×D414yes—
182C22×Dic61C2×D414yes—
183C22×Dic61#4114yes—
184C2×D244—44no—
185C2×D244—48no—
186C2×D244—48no—
187C2×D244—44no—
188C2×D244—44no—
189C22⋊C4×C61—44no—
190C22⋊C4×C61—44no—
191C22⋊Dic61—48no—
192#11758198—216no—
193#11758198—48no—
194#11758198—48no—
195#11758198—48no—
196#11758198—48no—
197C4⋊Dic61—44no—
198#11758196—48no—
199C4×Dic61—48no—
200C23×C61—24no—
201C23×C61—22no—
202C23×C61—24no—
203C23×C61—22no—
204C23×C61—22no—
205C23×C61—22no—
206C23×C61—22no—
207C23×C61—22no—
208C23×C61—24no—
209C23×C61—24no—
210C23×C61—24no—
211C23×C61—24no—
212C23×C61—42no—
213C23×C61—42no—
214C23×C61—42no—
215C23×C61—42no—
216C23×C61—41no—
217C23×C61—42no—
218C23×C61—41no—
219C23×C61—42no—
220C23×C61—41no—
221C23×C61—41no—
222C23×C61C4×D414yes—
223C23×C61C23×C411yescharacteristic
224C23×C61C22×D411yescharacteristic
225C23×C61C22×D412yes—
226C23×C61C2×#4111yescharacteristic
227C23×C61C2×#4112yes—
228C23×C61H(5,𝔽2)11yescharacteristic
229C23×C61H(5,𝔽2)12yes—
230C23×C61H(5,𝔽2)11yescharacteristic
231C23×C61H(5,𝔽2)12yes—
232C23×C61H(5,𝔽2)11yescharacteristic
233C23×C612−1+411yescharacteristic
234C22×D61—24no—
235C22×D61—24no—
236C22×D61—24no—
237C22×D61—24no—
238C22×D61—24no—
239C22×D61—24no—
240C22×D61—24no—
241C22×D61—42no—
242C22×D61—42no—
243C22×D61—42no—
244C22×D61—42no—
245C22×D61—42no—
246C22×D61—42no—
247C22×D61—42no—
248C22×D61—42no—
249C22×D61—42no—
250C22×D61—42no—
251C22×D61—42no—
252C22×D61—42no—
253C22×D61—42no—
254C22×D61—42no—
255C22×D61—42no—
256C22×D61—42no—
257C22×D61—42no—
258C22×D61—42no—
259C22×D61—42no—
260C22×D61—42no—
261C22×D61—42no—
262C22×D61—42no—
263C22×D61—42no—
264C22×D61—42no—
265C22×D61—42no—
266C22×D61—42no—
267C22×D61—42no—
268C22×D61—42no—
269C2×C4×C61—24no—
270C2×C4×C61—22no—
271C2×C4×C61—22no—
272C2×C4×C61—24no—
273C2×C4×C61—24no—
274C2×C4×C61—24no—
275C2×C4×C61—24no—
276C2×C4×C61—24no—
277C2×C4×C61—24no—
278C2×C4×C61—24no—
279C2×C4×C61—416no—
280C2×C4×C61—42no—
281C2×C4×C61—42no—
282C2×C4×C61—42no—
283C2×C4×C61—42no—
284C2×C4×C61—41no—
285C2×C4×C61—42no—
286C2×C4×C61—42no—
287C2×C4×C61—42no—
288C2×C4×C61—41no—
289C2×C4×C61—42no—
290C2×C4×C61—41no—
291C2×C4×C61—42no—
292C2×C4×C61—41no—
293C2×C4×C61—42no—
294C22⋊D61—432no—
295C2×Dic61—24no—
296C2×Dic61—24no—
297C2×Dic61—24no—
298C2×Dic61—24no—
299C2×Dic61—24no—
300C2×Dic61—24no—
301C2×Dic61—24no—
302C2×Dic61—24no—
303C2×Dic61—24no—
304C2×Dic61—42no—
305C2×Dic61—42no—
306C2×Dic61—42no—
307C2×Dic61—42no—
308C2×Dic61—42no—
309C2×Dic61—42no—
310C2×Dic61—42no—
311C2×Dic61—42no—
312C2×Dic61—42no—
313C2×Dic61—42no—
314C2×Dic61—42no—
315C2×Dic61C4×D418yes—
316D244—416no—
317#14521—611nomaximal, Sylow
318C22×C61—24no—
319C22×C61—28no—
320C22×C61—44no—
321C22×C61—42no—
322C22×C61—42no—
323C22×C61—42no—
324C22×C61—44no—
325C22×C61—42no—
326C22×C61—44no—
327C22×C61—42no—
328C22×C61—42no—
329C22×C61C2×C4×D412yes—
330C22×C61C2×C4×D411yescharacteristic
331C22×C61#51812yes—
332C22×C61#51811yescharacteristic
333C22×C61#52011yescharacteristic
334C22×C61#53411yescharacteristic
335C22×C61#53512yes—
336C22×C61#53712yes—
337C22×C61#53711yescharacteristic
338C22×C61#53811yescharacteristic
339C22×C61#53911yescharacteristic
340C22×C61#54012yes—
341C22×C61#54212yes—
342C22×C61D4211yescharacteristic
343C22×C61D4212yes—
344C22×C61#54612yes—
345C22×C61#54612yes—
346C22×C61#55012yes—
347C22×C61#55112yes—
348C22×C61#55911yescharacteristic
349C22×C61#56012yes—
350C22×C61#56011yescharacteristic
351C22×C61H(3,𝔽4)11yescharacteristic
352C2×D61—44no—
353C2×D61—44no—
354C2×D61—44no—
355C2×D61—44no—
356C2×D61—44no—
357C2×D61—44no—
358C2×D61—44no—
359C2×D61—82no—
360C2×D61—82no—
361C2×D61—82no—
362C2×D61—82no—
363C2×D61—82no—
364C2×D61—82no—
365C2×D61—82no—
366C2×D61—82no—
367C4×C61—42no—
368C4×C61—42no—
369C4×C61—44no—
370C4×C61—44no—
371Dic61—28no—
372Dic61—44no—
373Dic61—82no—
374C2×#392—611no—
375C2×#390—612no—
376C2×#388—612no—
377C2×#386—612no—
378#1439—612no—
379#1439—611no—
380#1438—612no—
381#1436—612no—
382C22⋊#95D6111yescharacteristic, complemented
383C2×C61—44no—
384C2×C61#232412yes—
385C2×C61#232511yescharacteristic
386C2×C61#235812yes—
387C2×C61#236611yescharacteristic
388C2×C61#237511yescharacteristic
389C2×C61#267011yescharacteristic
390C2×C61#267312yes—
391C2×C61#267511yescharacteristic
392C2×C61#270512yes—
393C2×C61#271211yescharacteristic
394C2×C61#275211yescharacteristic
395D61—84no—
396C23×D4—612no—
397C23×D4—611no—
398C24×C4C2×D6111yescharacteristic
399C22×C4⋊C4—612no—
400C22×C4⋊C4—611no—
401C22×C22⋊C4—612no—
402C22×C22⋊C4—612no—
403C22×C22⋊C4—612no—
404C22×C22⋊C4—612no—
405C22×C22⋊C4—612no—
406C22×C22⋊C4—612no—
407C22×C22⋊C4C2×D6111yescharacteristic
408C22×C22⋊C4C2×D6111yescharacteristic
409C22×C42—612no—
410#392—618no—
411#390—1228no—
412#388—1228no—
413#386—1228no—
414C2×#95—611no—
415C2×#95—612no—
416C2×#95—612no—
417C2×#95—612no—
418C2×#95—611no—
419C2×#95C2×D6112yes—
420C2×#95C2×D6112yes—
421C61#1452111yescharacteristic, complemented, Sylow
422C25—612no—
423C25C22×D6111yescharacteristic
424C22×D4—618no—
425C22×D4—614no—
426C22×D4—1224no—
427C22×D4—1224no—
428C22×D4—1224no—
429C22×D4—1224no—
430C22×D4—2442no—
431C22×D4—2441no—
432C22×D4—2441no—
433C22×D4—2442no—
434C22×D4—2442no—
435C22×D4—2442no—
436C23×C4—22no—
437C23×C4—24no—
438C23×C4—42no—
439C23×C4—41no—
440C23×C4—41no—
441C23×C4—612no—
442C23×C4—612no—
443C23×C4—612no—
444C23×C4C22×D6111yescharacteristic
445C23×C4C22×D6111yescharacteristic
446C23×C4C22×D6112yes—
447C23×C4C22×D6112yes—
448C2×C4⋊C4—1224no—
449C2×C4⋊C4—1224no—
450C2×C4⋊C4—1224no—
451C2×C4⋊C4—2442no—
452C2×C4⋊C4—2441no—
453C2×C22⋊C4—41no—
454C2×C22⋊C4—41no—
455C2×C22⋊C4—41no—
456C2×C22⋊C4—41no—
457C2×C22⋊C4—618no—
458C2×C22⋊C4—1224no—
459C2×C22⋊C4—1224no—
460C2×C22⋊C4—1224no—
461C2×C22⋊C4—1224no—
462C2×C22⋊C4—1224no—
463C2×C22⋊C4—1224no—
464C2×C22⋊C4—1224no—
465C2×C22⋊C4—1224no—
466C2×C22⋊C4—1224no—
467C2×C22⋊C4—1224no—
468C2×C22⋊C4—2442no—
469C2×C22⋊C4—2442no—
470C2×C22⋊C4—2442no—
471C2×C22⋊C4—2442no—
472C2×C22⋊C4—2442no—
473C2×C22⋊C4—2442no—
474C2×C22⋊C4—2442no—
475C2×C22⋊C4C4×D6114yes—
476C2×C22⋊C4D24414yescomplemented
477C2×C42—1224no—
478C2×C42—1224no—
479C2×C42—2442no—
480#95—24no—
481#95—42no—
482#95—614no—
483#95—618no—
484#95—1224no—
485#95—2441no—
486#95—2442no—
487C24—22no—
488C24—22no—
489C24—21no—
490C24—21no—
491C24—21no—
492C24—22no—
493C24—22no—
494C24—21no—
495C24—614no—
496C24—1222no—
497C24—1222no—
498C24—1222no—
499C24—1222no—
500C24—1222no—
501C24—1222no—
502C24—1222no—
503C24—1222no—
504C24—1222no—
505C24—1222no—
506C24—1222no—
507C24—1222no—
508C24—1222no—
509C24—1222no—
510C24C2×C4×D6112yes—
511C24C2×D24412yes—
512C24#1175822212yes—
513C24C23×D6111yescharacteristic
514C2×D4—12216no—
515C2×D4—12216no—
516C2×D4—2448no—
517C2×D4—2444no—
518C2×D4—2448no—
519C2×D4—2444no—
520C2×D4—2444no—
521C2×D4—2448no—
522C2×D4—2448no—
523C2×D4—2448no—
524C2×D4—2448no—
525C2×D4—2448no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—21no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—22no—
542C22×C4—22no—
543C22×C4—22no—
544C22×C4—22no—
545C22×C4—22no—
546C22×C4—44no—
547C22×C4—48no—
548C22×C4—48no—
549C22×C4—44no—
550C22×C4—44no—
551C22×C4—614no—
552C22×C4—614no—
553C22×C4—614no—
554C22×C4—614no—
555C22×C4—1222no—
556C22×C4—1222no—
557C22×C4—1222no—
558C22×C4—1222no—
559C22×C4—1222no—
560C22×C4—1222no—
561C22×C4—1222no—
562C22×C4—1222no—
563C22×C4—1222no—
564C22×C4—1222no—
565C22×C4—1222no—
566C22×C4—1222no—
567C22×C4—1222no—
568C22×C4—1222no—
569C22×C4—1222no—
570C22×C4—1222no—
571C22×C4—1222no—
572C22×C4C2×C4×D6112yes—
573C22×C4C2×C4×D6112yes—
574C22×C4C2×D24414yes—
575C22×C4D4×D6114yes—
576C4⋊C4—2448no—
577C4⋊C4—2444no—
578C22⋊C4—44no—
579C22⋊C4—44no—
580C22⋊C4—12216no—
581C22⋊C4—2448no—
582C22⋊C4—2448no—
583C22⋊C4—2448no—
584C22⋊C4—2448no—
585C22⋊C4—2448no—
586C42—2448no—
587C23—24no—
588C23—24no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—24no—
596C23—24no—
597C23—24no—
598C23—24no—
599C23—41no—
600C23—42no—
601C23—41no—
602C23—41no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—41no—
608C23—42no—
609C23—1224no—
610C23—1224no—
611C23—1224no—
612C23—1224no—
613C23—1224no—
614C23—1224no—
615C23—1224no—
616C23—2442no—
617C23—2442no—
618C23—2442no—
619C23—2442no—
620C23—2442no—
621C23—2442no—
622C23—2442no—
623C23—2442no—
624C23—2442no—
625C23—2442no—
626C23—2442no—
627C23—2442no—
628C23—2442no—
629C23—2442no—
630C23—2442no—
631C23—2442no—
632C23—2442no—
633C23—2442no—
634C23—2442no—
635C23—2442no—
636C23—2442no—
637C23—2442no—
638C23—2442no—
639C23—2442no—
640C23—2442no—
641C23—2442no—
642C23—2442no—
643C23—2442no—
644C23C4×D24414yes—
645C23C22×C4×D6111yescharacteristic
646C23C2×D4×D6112yes—
647C23C22×D24411yescharacteristic
648C23#41×D6112yes—
649C23C2×#1175822211yescharacteristic
650C23#1451982212yes—
651C23#1451982211yescharacteristic
652C23#1451982211yescharacteristic
653C23#1451982211yescharacteristic
654C23#1451982312yes—
655C23#1451982511yescharacteristic
656D4—24416no—
657D4—24432no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—416no—
669C2×C4—41no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—41no—
673C2×C4—42no—
674C2×C4—41no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—41no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—618no—
684C2×C4—1224no—
685C2×C4—1224no—
686C2×C4—1224no—
687C2×C4—1224no—
688C2×C4—1224no—
689C2×C4—1224no—
690C2×C4—1224no—
691C2×C4—1224no—
692C2×C4—1224no—
693C2×C4—2442no—
694C2×C4—2442no—
695C2×C4—2442no—
696C2×C4—2442no—
697C2×C4—2442no—
698C2×C4—2442no—
699C2×C4—2442no—
700C2×C4—2442no—
701C2×C4—2442no—
702C2×C4—2442no—
703C2×C4—2442no—
704C22—24no—
705C22—28no—
706C22—42no—
707C22—42no—
708C22—42no—
709C22—44no—
710C22—44no—
711C22—42no—
712C22—42no—
713C22—44no—
714C22—42no—
715C22—4882no—
716C22—4882no—
717C22—4882no—
718C22—4882no—
719C22—4882no—
720C22—4882no—
721C22—4882no—
722C22—4882no—
723C22—2444no—
724C22—2444no—
725C22—2444no—
726C22—2444no—
727C22—2444no—
728C22—2444no—
729C22—2444no—
730C22C4×D4×D6112yes—
731C22C2×C4×D24411yescharacteristic
732C22#1684023412yes—
733C22#1684023511yescharacteristic
734C22#1684024311yescharacteristic
735C22#1684032411yescharacteristic
736C22#1684032712yes—
737C22#1684034212yes—
738C22#1684034311yescharacteristic
739C22#1684035011yescharacteristic
740C22#1684035911yescharacteristic
741C22#1684036412yes—
742C22#1684038212yes—
743C22#1684039411yescharacteristic
744C22D4×D24412yes—
745C22#1684040212yes—
746C22#1684040712yes—
747C22#1684043012yes—
748C22#1684043612yes—
749C22#1684049611yescharacteristic
750C22#1684050012yes—
751C22#1684050211yescharacteristic
752C22#1684050511yescharacteristic
753C4—44no—
754C4—44no—
755C4—42no—
756C4—42no—
757C4—1228no—
758C4—4882no—
759C4—2444no—
760C2—44no—
761C2—4884no—
762C2#2144851112yes—
763C2#2144852211yescharacteristic
764C2#2144880112yes—
765C2#2144888211yescharacteristic
766C2#2144895711yescharacteristic
767C2#2145204511yescharacteristic
768C2#2145208312yes—
769C2#2145211011yescharacteristic
770C2#2145249212yes—
771C2#2145258711yescharacteristic
772C2#2145308311yescharacteristic
subgroupG/H
center, FrattiniC24C23×D61
commutatorC23×C61C23×C4
FittingC61×C22⋊#95C2
socle, cosocleC24×C61C24
prime radicalC2×#16839671C2
hypercenterC22⋊#95D61
hypocenterC61#14521
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C24 ◁ C22⋊#95

Complements

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

NH ≅ G/Ntype
2. C2×#16839662C2semidirect
3. C2×#16839654C2semidirect
4. C2×#16839641C2semidirect
5. #21444064C2semidirect
6. #21444063C2semidirect
7. #21444059C2semidirect
8. #21444054C2semidirect
9. C61×C22⋊#95C2semidirect
21. #16839671C4semidirect
40. C22×D244C2×C4semidirect
73. C2×#11758198C2×C4semidirect
80. #14519684C2×C4semidirect
81. #14519684D4semidirect
97. C2×C22⋊C4×C61D4semidirect
382. C22⋊#95D61semidirect
421. C61#14521semidirect
476. C2×C22⋊C4D244semidirect

Maximal subgroups

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

subgroupindex
C2×#168396712
C2×#168396622
C2×#168396542
C2×#168396412
#214440642
#214440632
#214440592
#214440542
C61×C22⋊#952
#1452161