Finite Group Databasebeta

← #29737487

Subgroups — #29737487

Order 15616.

1032 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840049C211yesmaximal, characteristic, complemented
2C2×#16839761C211yesmaximal, characteristic
3#21448650C211yesmaximal, characteristic
4#21447363C211yesmaximal, characteristic, complemented
5#21447211C211yesmaximal, characteristic, complemented
6#21447197C211yesmaximal, characteristic, complemented
7#21446957C211yesmaximal, characteristic, complemented
8#21446079C211yesmaximal, characteristic, complemented
9#21446065C211yesmaximal, characteristic, complemented
10#21446012C211yesmaximal, characteristic, complemented
11#21446004C211yesmaximal, characteristic, complemented
12#21445850C211yesmaximal, characteristic, complemented
13#21445816C211yesmaximal, characteristic, complemented
14#21445757C211yesmaximal, characteristic
15C61×#2440C211yesmaximal, characteristic, complemented
16C22×#11758222C2211yescharacteristic
17C22×#11758194C2211yescharacteristic
18C2×C4×D244C2211yescharacteristic
19C2×C4×D244C2211yescharacteristic
20#16840049—24no—
21C2×#14519710C2211yescharacteristic
22C2×#14519708C2211yescharacteristic
23C2×#14519708C2211yescharacteristic
24C2×#14519708C2211yescharacteristic
25C2×C4⋊#92418C2211yescharacteristic
26C2×C4⋊#92418C2211yescharacteristic
27#16839761—24no—
28C2×#14519700C2211yescharacteristic
29C2×#14519700C2211yescharacteristic
30C2×#14519700C2211yescharacteristic
31C2×#14519700C2211yescharacteristic
32C2×#14519697C2211yescharacteristic
33C2×#14519697C2211yescharacteristic
34C2×#14519697C2211yescharacteristic
35C2×#14519697C2211yescharacteristic
36C2×C22⋊#92418C2211yescharacteristic
37#16839668C2211yescharacteristic
38#16839668C2211yescharacteristic
39#16839638—21no—
40#16839638—21no—
41#16839624—21no—
42#16839622C2211yescharacteristic
43#95×D61—21no—
44#16839524C2211yescharacteristic
45#16839524C2211yescharacteristic
46#16839524C2211yescharacteristic
47#16839524C2211yescharacteristic
48#16839517C2211yescharacteristic
49#16839517C2211yescharacteristic
50C2×C4⋊Q8×C61C2211yescharacteristic
51C2×C22⋊Q8×C61—21no—
52C22×C4⋊C4×C61C2211yescharacteristic
53C61×#398—21no—
54C61×#395—21no—
55C61×#389C2211yescharacteristic
56C61×#389C2211yescharacteristic
57C61×#385—21no—
58C61×#384C2211yescharacteristic
59C61×#380C2211yescharacteristic
60C4×C22⋊C4×C61C2211yescharacteristic
61C2×#11758222—22no—
62C2×#11758222—22no—
63C2×#11758222—22no—
64C2×#11758222—41no—
65C2×#11758222—41no—
66C2×#11758222Q814yescomplemented
67C22×Dic122C2311yescharacteristic
68C22×D244C2311yescharacteristic
69C22×C22⋊D61—21no—
70C22×C4×D61—21no—
71C22×C4×D61—21no—
72C22×C4×D61—21no—
73C2×#11758194—22no—
74C2×#11758194—22no—
75C2×#11758194—41no—
76C22×#92418C2311yescharacteristic
77C22×#92418C2311yescharacteristic
78C22×#92418C2311yescharacteristic
79C22×#92418C2311yescharacteristic
80C4×D244—22no—
81C4×D244—22no—
82C4×D244—41no—
83C4×D244—41no—
84C2×C4⋊Dic61C2311yescharacteristic
85C2×C4⋊Dic61C2311yescharacteristic
86C2×C22⋊Dic61—21no—
87C2×#11758198—21no—
88C2×#11758198—21no—
89#14519710—41no—
90#14519708—22no—
91#14519708—22no—
92#14519708—41no—
93C4⋊#92418—22no—
94C4⋊#92418—41no—
95#14519700—22no—
96#14519700—22no—
97#14519700—41no—
98#14519700—41no—
99#14519697—22no—
100#14519697—22no—
101#14519697—22no—
102#14519697D414yes—
103C22⋊#92418—22no—
104#14519684—21no—
105#14519684—21no—
106#14519684—21no—
107#14519684—21no—
108#14519684—21no—
109C22×Q8×C61—21no—
110C23×C4×C61—21no—
111C23×C4×C61C2311yescharacteristic
112C4⋊Q8×C61—22no—
113C4⋊Q8×C61—41no—
114C22⋊Q8×C61—44no—
115C2×C4⋊C4×C61—22no—
116C2×C4⋊C4×C61—21no—
117C2×C4⋊C4×C61—21no—
118C2×C4⋊C4×C61—21no—
119C2×C4⋊C4×C61—21no—
120C2×C4⋊C4×C61—21no—
121C2×C4⋊C4×C61—21no—
122C2×C4⋊C4×C61—41no—
123C2×C4⋊C4×C61C2311yescharacteristic
124C2×C4⋊C4×C61C2311yescharacteristic
125C2×C4⋊C4×C61C2311yescharacteristic
126C2×C4⋊C4×C61C2311yescharacteristic
127C2×C22⋊C4×C61—21no—
128C2×C22⋊C4×C61D411yescharacteristic
129C2×C22⋊C4×C61D411yescharacteristic
130C2×C42×C61C2311yescharacteristic
131C2×C42×C61C2311yescharacteristic
132#95×C61—21no—
133#95×C61—21no—
134#95×C61—21no—
135#95×C61D411yescharacteristic
136#95×C61D411yescharacteristic
137C24×C61C2×D411yescharacteristic
138C23×D61—21no—
139C2×Q8×C61—42no—
140C2×Q8×C61—42no—
141C2×Q8×C61—81no—
142C22×C4×C61—21no—
143C22×C4×C61—21no—
144C22×C4×C61—21no—
145C22×C4×C61—21no—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61—21no—
149C22×C4×C61—21no—
150C22×C4×C61—42no—
151C22×C4×C61—42no—
152C22×C4×C61—81no—
153C22×C4×C61C2×D411yescharacteristic
154C22×C4×C61C2×D411yescharacteristic
155C22×C4×C61C2×D411yescharacteristic
156C22×C4×C61C2×D411yescharacteristic
157C22×C4×C61C2×D411yescharacteristic
158C22×C4×C61C2×Q812yes—
159C22×C4×C61#4112yes—
160C22×C4×C61C2411yescharacteristic
161C2×C22⋊D61—24no—
162C2×C22⋊D61—42no—
163C2×C22⋊D61—42no—
164C22×Dic61—21no—
165C22×Dic61—21no—
166C22×Dic61—21no—
167#11758222—28no—
168#11758222—44no—
169#11758222—44no—
170#11758222—44no—
171C2×D244—21no—
172C2×D244—21no—
173C2×D244—21no—
174C2×D244C2×D412yes—
175C2×D244C2×Q812yes—
176C2×D244#4112yes—
177C2×C4×D61—24no—
178C2×C4×D61—42no—
179C2×C4×D61—42no—
180C2×C4×D61—42no—
181C2×C4×D61—42no—
182C2×C4×D61—42no—
183C2×C4×D61—42no—
184C2×C4×D61—81no—
185C2×C4×D61—81no—
186C2×Dic122—21no—
187C2×Dic122—21no—
188C2×Dic122—21no—
189C2×Dic122—21no—
190C2×Dic122—21no—
191C2×Dic122C2×Q812yes—
192C4⋊C4×C61—21no—
193C4⋊C4×C61—21no—
194C4⋊C4×C61—21no—
195C4⋊C4×C61—21no—
196C4⋊C4×C61—21no—
197C4⋊C4×C61—21no—
198C4⋊C4×C61—21no—
199C4⋊C4×C61—42no—
200C4⋊C4×C61—42no—
201C4⋊C4×C61—42no—
202C4⋊C4×C61—42no—
203C4⋊C4×C61—42no—
204C4⋊C4×C61—81no—
205C4⋊C4×C61C2×D412yes—
206C22⋊C4×C61—22no—
207C22⋊C4×C61—22no—
208C22⋊C4×C61—42no—
209C42×C61—21no—
210C42×C61—21no—
211C42×C61—21no—
212C42×C61—21no—
213C22⋊Dic61—81no—
214#11758198—42no—
215#11758198—42no—
216C4⋊Dic61—21no—
217C4⋊Dic61—21no—
218C4⋊Dic61—21no—
219C4⋊Dic61—21no—
220#11758194—44no—
221C2×#92418—21no—
222C2×#92418—21no—
223C2×#92418—21no—
224C2×#92418—21no—
225C2×#92418—21no—
226C2×#92418—21no—
227C2×#92418—21no—
228C2×#92418—21no—
229C2×#92418—21no—
230C2×#92418—21no—
231C2×#92418—21no—
232C2×#92418C2×D412yes—
233C23×C61—21no—
234C23×C61—21no—
235C23×C61—21no—
236C23×C61—21no—
237C23×C61—21no—
238C23×C61—21no—
239C23×C61C22⋊Q812yes—
240C23×C61C22×D411yescharacteristic
241C22×D61—22no—
242C22×D61—22no—
243C22×D61—22no—
244C22×D61—41no—
245C22×D61—41no—
246C22×D61—41no—
247C22×D61—41no—
248Q8×C61—84no—
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—22no—
256C2×C4×C61—22no—
257C2×C4×C61—22no—
258C2×C4×C61—22no—
259C2×C4×C61—21no—
260C2×C4×C61—22no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—21no—
264C2×C4×C61—21no—
265C2×C4×C61—21no—
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—41no—
274C2×C4×C61—41no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61—84no—
278C2×C4×C61C22⋊Q812yes—
279C2×C4×C61AGL(1,ℤ/8)12yes—
280C2×C4×C61#13712yes—
281C2×C4×C61C22×D411yescharacteristic
282C2×C4×C61C22×Q811yescharacteristic
283C2×C4×C61C2×#4111yescharacteristic
284C2×C4×C61C2×#4111yescharacteristic
285C2×C4×C61H(5,𝔽2)11yescharacteristic
286C2×C4×C61H(5,𝔽2)11yescharacteristic
287C22⋊D61—48no—
288C2×Dic61—22no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297D244—22no—
298D244—22no—
299D244—22no—
300D244C22⋊Q814yescomplemented
301C4×D61—48no—
302C4×D61—84no—
303C4×D61—84no—
304Dic122—22no—
305Dic122—22no—
306Dic122—41no—
307Dic122—41no—
308#92418—22no—
309#92418—41no—
310#92418—41no—
311#92418—41no—
312#25978—611nomaximal, Sylow
313C22×C61—22no—
314C22×C61—22no—
315C22×C61—22no—
316C22×C61—41no—
317C22×C61—41no—
318C22×C61—41no—
319C22×C61—41no—
320C22×C61C2×C22⋊Q811yescharacteristic
321C22×C61D4211yescharacteristic
322C22×C61#54611yescharacteristic
323C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
324C22×C61C2×#13711yescharacteristic
325C22×C61#57711yescharacteristic
326C22×C61#57711yescharacteristic
327C2×D61—24no—
328C2×D61—42no—
329C2×D61—42no—
330C2×D61—42no—
331C2×D61—42no—
332C2×D61—42no—
333C2×D61—42no—
334C4×C61—22no—
335C4×C61—22no—
336C4×C61—22no—
337C4×C61—41no—
338C4×C61—41no—
339C4×C61—42no—
340C4×C61—81no—
341C4×C61—81no—
342C4×C61—81no—
343C4×C61C2×C22⋊Q811yescharacteristic
344C4×C61#54311yescharacteristic
345C4×C61#54611yescharacteristic
346C4×C61#55111yescharacteristic
347Dic61—42no—
348Dic61—81no—
349Dic61—81no—
350C2×#476—611no—
351C2×#417—611no—
352#2440D6111yescharacteristic, complemented
353#2339—611no—
354#2096—611no—
355#2068—611no—
356#2066—611no—
357#2024—611no—
358#1864—611no—
359#1862—611no—
360#1853—611no—
361#1851—611no—
362#1809—611no—
363#1802—611no—
364#1788—611no—
365C2×C61—42no—
366C2×C61#243711yescharacteristic
367C2×C61#307911yescharacteristic
368C2×C61#308411yescharacteristic
369C2×C61#326611yescharacteristic
370C2×C61#327211yescharacteristic
371C2×C61#330611yescharacteristic
372C2×C61#333111yescharacteristic
373D61—44no—
374C22×#41—611no—
375C22×M16—611no—
376C2×C4⋊Q8C2×D6111yescharacteristic
377C2×C22⋊Q8—21no—
378C2×C4×D4—611no—
379C2×C4×D4—611no—
380C22×C4⋊C4C2×D6111yescharacteristic
381#476—1224no—
382C2×#107—611no—
383C2×#106—611no—
384C2×#106—611no—
385C2×#106—611no—
386C2×C4⋊C8—611no—
387C2×C4⋊C8—611no—
388#417—1224no—
389C2×#103—611no—
390C2×#103—611no—
391C2×#103—611no—
392C2×#103—611no—
393C2×#102—611no—
394C2×#102—611no—
395C2×#102—611no—
396C2×#102—611no—
397C2×C22⋊C8—611no—
398#398—21no—
399#395—21no—
400#391—611no—
401#391—611no—
402#389C2×D6111yescharacteristic
403#389C2×D6111yescharacteristic
404#386—1221no—
405#386—1221no—
406#385—21no—
407#384C2×D6111yescharacteristic
408#381—1221no—
409#380—611no—
410#380C2×D6111yescharacteristic
411C4×C22⋊C4C2×D6111yescharacteristic
412C2×#95—1221no—
413#340—611no—
414#340—611no—
415#340—611no—
416#340—611no—
417#336—611no—
418#336—611no—
419C61#2597811yescharacteristic, complemented, Sylow
420C2×#41—614no—
421C2×#41—1222no—
422C2×#41—1222no—
423C2×#41—1222no—
424C2×#41—2441no—
425C2×#41—2441no—
426C22×Q8—21no—
427C22×Q8—611no—
428C22×D4—611no—
429C22×D4—1221no—
430C23×C4—21no—
431C23×C4—1221no—
432C23×C4—1221no—
433C23×C4—1221no—
434C23×C4C22×D6111yescharacteristic
435C2×M16—1222no—
436C2×M16—1222no—
437C2×M16—2441no—
438C22×C8—611no—
439C22×C8—611no—
440C22×C8—611no—
441C22×C8—611no—
442C4⋊Q8—22no—
443C4⋊Q8—41no—
444C22⋊Q8—44no—
445C4×D4—1222no—
446C4×D4—1222no—
447C4×D4—2441no—
448C4×D4—2441no—
449C2×C4⋊C4—22no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—21no—
454C2×C4⋊C4—21no—
455C2×C4⋊C4—21no—
456C2×C4⋊C4—41no—
457C2×C4⋊C4—611no—
458C2×C4⋊C4—611no—
459C2×C4⋊C4C22×D6111yescharacteristic
460C2×C4⋊C4C22×D6111yescharacteristic
461C2×C4⋊C4C22×D6111yescharacteristic
462C2×C4⋊C4C22×D6111yescharacteristic
463C2×C22⋊C4—21no—
464C2×C22⋊C4—1221no—
465C2×C22⋊C4—1221no—
466C2×C22⋊C4—1221no—
467C2×C22⋊C4C22⋊D6111yescharacteristic
468C2×C22⋊C4C22⋊D6111yescharacteristic
469C2×C42C22×D6111yescharacteristic
470C2×C42C22×D6111yescharacteristic
471#107—2441no—
472#106—1222no—
473#106—1222no—
474#106—2441no—
475C4⋊C8—1222no—
476C4⋊C8—2441no—
477#103—1222no—
478#103—1222no—
479#103—2441no—
480#103—2441no—
481#102—614no—
482#102—1222no—
483#102—1222no—
484#102—1222no—
485C22⋊C8—1222no—
486#95—21no—
487#95—21no—
488#95—21no—
489#95—1221no—
490#95—1221no—
491#95—1221no—
492#95—1221no—
493#95—1221no—
494#95C22⋊D6111yescharacteristic
495#95C22⋊D6111yescharacteristic
496C24—1221no—
497C24C2×C22⋊D6111yescharacteristic
498#41—1228no—
499#41—2444no—
500#41—2444no—
501#41—2444no—
502C2×Q8—42no—
503C2×Q8—42no—
504C2×Q8—81no—
505C2×Q8—612no—
506C2×Q8—1221no—
507C2×Q8—1221no—
508C2×Q8—1221no—
509C2×Q8—1221no—
510C2×Q8—1221no—
511C2×D4—612no—
512C2×D4—612no—
513C2×D4—612no—
514C2×D4—1224no—
515C2×D4—1221no—
516C2×D4—1221no—
517C2×D4—1221no—
518C2×D4—2442no—
519C2×D4—2442no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—42no—
529C22×C4—42no—
530C22×C4—81no—
531C22×C4—1221no—
532C22×C4—1224no—
533C22×C4—1221no—
534C22×C4—1221no—
535C22×C4—4881no—
536C22×C4—4881no—
537C22×C4—2442no—
538C22×C4—2442no—
539C22×C4—2442no—
540C22×C4—2442no—
541C22×C4—2442no—
542C22×C4—2442no—
543C22×C4Q8×D6112yes—
544C22×C4#1175822612yes—
545C22×C4C2×C22⋊D6111yescharacteristic
546C22×C4C2×C22⋊D6111yescharacteristic
547C22×C4C2×C22⋊D6111yescharacteristic
548C22×C4C2×C22⋊D6111yescharacteristic
549C22×C4C2×C22⋊D6111yescharacteristic
550C22×C4C23×D6111yescharacteristic
551M16—2444no—
552C2×C8—612no—
553C2×C8—1221no—
554C2×C8—1221no—
555C2×C8—1221no—
556C2×C8—1221no—
557C2×C8—1221no—
558C2×C8—1221no—
559C2×C8—1221no—
560C2×C8—1221no—
561C2×C8—1221no—
562C2×C8—1221no—
563C2×C8—1221no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—42no—
574C4⋊C4—42no—
575C4⋊C4—42no—
576C4⋊C4—81no—
577C4⋊C4—1221no—
578C4⋊C4—1221no—
579C4⋊C4—1221no—
580C4⋊C4—1221no—
581C4⋊C4D4×D6112yes—
582C22⋊C4—22no—
583C22⋊C4—22no—
584C22⋊C4—42no—
585C22⋊C4—4881no—
586C22⋊C4—2442no—
587C22⋊C4—2442no—
588C42—21no—
589C42—21no—
590C42—21no—
591C42—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—1222no—
599C23—1222no—
600C23—1222no—
601C23—2441no—
602C23—2441no—
603C23—2441no—
604C23—2441no—
605C23#1451975312yes—
606C23C22×C22⋊D6111yescharacteristic
607Q8—84no—
608Q8—1222no—
609Q8—1222no—
610Q8—2441no—
611Q8—2441no—
612D4—614no—
613D4—1222no—
614D4—1222no—
615D4—1222no—
616D4—2448no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—22no—
633C2×C4—21no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—84no—
646C2×C4—1222no—
647C2×C4—4884no—
648C2×C4—4884no—
649C2×C4—2448no—
650C2×C4—2441no—
651C2×C4—2441no—
652C2×C4—2441no—
653C2×C4—2441no—
654C2×C4—2441no—
655C2×C4—2441no—
656C2×C4—2441no—
657C2×C4—2441no—
658C2×C4#1451975312yes—
659C2×C4#1451980312yes—
660C2×C4#1451980812yes—
661C2×C4C2×D4×D6111yescharacteristic
662C2×C4C2×Q8×D6111yescharacteristic
663C2×C4#41×D6111yescharacteristic
664C2×C4C2×#1175822611yescharacteristic
665C2×C4#1451982211yescharacteristic
666C2×C4#1451982311yescharacteristic
667C8—1222no—
668C8—2441no—
669C8—2441no—
670C8—2441no—
671C22—22no—
672C22—22no—
673C22—22no—
674C22—41no—
675C22—41no—
676C22—41no—
677C22—41no—
678C22—1224no—
679C22—2442no—
680C22—2442no—
681C22—2442no—
682C22—2442no—
683C22—2442no—
684C22—2442no—
685C22C2×#1451975311yescharacteristic
686C22D4×C22⋊D6111yescharacteristic
687C22#1684040011yescharacteristic
688C22C2×#1451980311yescharacteristic
689C22C2×#1451980811yescharacteristic
690C22#1684057011yescharacteristic
691C22#1684057311yescharacteristic
692C4—22no—
693C4—22no—
694C4—22no—
695C4—41no—
696C4—42no—
697C4—41no—
698C4—81no—
699C4—81no—
700C4—81no—
701C4—4881no—
702C4—4881no—
703C4—2442no—
704C4C22⋊Q8×D6111yescharacteristic
705C4#1684038711yescharacteristic
706C4#1684040311yescharacteristic
707C4#1684043911yescharacteristic
708C2—42no—
709C2—2444no—
710C2#2144948211yescharacteristic
711C2#2145562811yescharacteristic
712C2#2145567711yescharacteristic
713C2#2145733011yescharacteristic
714C2#2145741511yescharacteristic
715C2#2145777411yescharacteristic
716C2#2145812911yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#2440C2
socleC23×C61C22×D4
prime radicalC22×#11758222C22
hypercenter#2440D61
hypocenterC61#25978
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2440

Complements

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

NH ≅ G/Ntype
1. C2×#16840049C2semidirect
4. #21447363C2semidirect
5. #21447211C2semidirect
6. #21447197C2semidirect
7. #21446957C2semidirect
8. #21446079C2semidirect
9. #21446065C2semidirect
10. #21446012C2semidirect
11. #21446004C2semidirect
12. #21445850C2semidirect
13. #21445816C2semidirect
15. C61×#2440C2semidirect
66. C2×#11758222Q8semidirect
300. D244C22⋊Q8semidirect
352. #2440D61semidirect
419. C61#25978semidirect

Maximal subgroups

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

subgroupindex
C2×#168400492
C2×#168397612
#214486502
#214473632
#214472112
#214471972
#214469572
#214460792
#214460652
#214460122
#214460042
#214458502
#214458162
#214457572
C61×#24402
#2597861