Finite Group Databasebeta

← #30622088

Subgroups — #30622088

Order 15616.

802 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21462348C211yesmaximal, characteristic
2#21462334C211yesmaximal, characteristic
3#21462003C211yesmaximal, characteristic
4#21461932C211yesmaximal, characteristic
5#21461924C211yesmaximal, characteristic
6#21461923C211yesmaximal, characteristic
7#21461883C211yesmaximal, characteristic
8#21461880C211yesmaximal, characteristic
9#21461785C211yesmaximal, characteristic
10#21461783C211yesmaximal, characteristic
11#21461620C211yesmaximal, characteristic
12#21461592C211yesmaximal, characteristic
13#21461591C211yesmaximal, characteristic
14#103×#6923C211yesmaximal, characteristic
15#477×D61C211yesmaximal, characteristic
16C2×Q8×#6923—21no—
17C2×Q8×#6923C2211yescharacteristic
18C2×Q8×#6923C2211yescharacteristic
19C2×#14519846C2211yescharacteristic
20C2×#14519845C2211yescharacteristic
21C2×#14519840C2211yescharacteristic
22C2×#14519840C2211yescharacteristic
23#16840721C2211yescharacteristic
24C2×#14519831C2211yescharacteristic
25C2×C8×#6923C2211yescharacteristic
26(C2×#6923)⋊Q8—21no—
27#16840713—21no—
28#16840713—21no—
29#16840713C2211yescharacteristic
30#16840713C2211yescharacteristic
31#16840713C2211yescharacteristic
32#16840713C2211yescharacteristic
33#16840711—21no—
34#16840711—21no—
35#16840706—21no—
36#16840706C2211yescharacteristic
37C4⋊C4×#6923C2211yescharacteristic
38C4⋊C4×#6923C2211yescharacteristic
39C4×C4⋊#6923—21no—
40C4×C4⋊#6923C2211yescharacteristic
41C4×C4⋊#6923C2211yescharacteristic
42#16840636C2211yescharacteristic
43#16840636C2211yescharacteristic
44#16840635C2211yescharacteristic
45#16840635C2211yescharacteristic
46#16840635C2211yescharacteristic
47#16840635C2211yescharacteristic
48#16840635C2211yescharacteristic
49#16840635C2211yescharacteristic
50(C2×#6923)⋊C8C2211yescharacteristic
51(C2×#6923)⋊C8C2211yescharacteristic
52C4⋊Q8×D61C2211yescharacteristic
53C4×Q8×D61C2211yescharacteristic
54#16840058C411yescharacteristic, complemented
55#16840057C411yescharacteristic, complemented
56#16840056C411yescharacteristic, complemented
57#16840056C411yescharacteristic, complemented
58#16840055C411yescharacteristic, complemented
59#16840055C411yescharacteristic, complemented
60#16840054C411yescharacteristic, complemented
61#107×D61C2211yescharacteristic
62#107×D61C2211yescharacteristic
63C4⋊C8×D61C2211yescharacteristic
64#103×D61C2211yescharacteristic
65#103×D61C2211yescharacteristic
66C61×#477C411yescharacteristic, complemented
67C2×D61⋊C8C2311yescharacteristic
68C2×D61⋊C8C2311yescharacteristic
69Q8×#6923—22no—
70Q8×#6923—22no—
71Q8×#6923—41no—
72Q8×#6923—41no—
73Q8×#6923—44no—
74C2×C4⋊#6923—21no—
75C2×C4⋊#6923—21no—
76C2×C4⋊#6923—21no—
77C2×C4⋊#6923—21no—
78C2×C4⋊#6923—21no—
79C2×C4⋊#6923—21no—
80C2×C4⋊#6923D411yescharacteristic
81C2×C4⋊#6923D411yescharacteristic
82C2×C4⋊#6923C2311yescharacteristic
83C2×C4⋊#6923C2311yescharacteristic
84C2×C4⋊#6923C2311yescharacteristic
85C2×C4⋊#6923C2311yescharacteristic
86C2×C4×#6923—21no—
87C2×C4×#6923—21no—
88C2×C4×#6923—21no—
89C2×C4×#6923—21no—
90C2×C4×#6923—21no—
91C2×C4×#6923C2311yescharacteristic
92C2×C4×#6923C2311yescharacteristic
93#14519846—41no—
94#14519845—41no—
95#14519840—22no—
96#14519840Q814yescomplemented
97#14519832—21no—
98#14519832—21no—
99#14519831—41no—
100C8×#6923—41no—
101(C2×#6923)⋊C4—21no—
102(C2×#6923)⋊C4—21no—
103(C2×#6923)⋊C4—21no—
104(C2×#6923)⋊C4—21no—
105(C2×#6923)⋊C4—21no—
106(C2×#6923)⋊C4—21no—
107(C2×#6923)⋊C4—21no—
108(C2×#6923)⋊C4—21no—
109(C2×#6923)⋊C4—21no—
110(C2×#6923)⋊C4D411yescharacteristic
111(C2×#6923)⋊C4D411yescharacteristic
112C2×Q8×D61—21no—
113C2×Q8×D61C2311yescharacteristic
114C2×C8×D61C2311yescharacteristic
115C2×C8×D61C2311yescharacteristic
116#14519777C2×C411yescharacteristic
117#14519776—21no—
118#14519776C2×C411yescharacteristic
119#14519776C2×C411yescharacteristic
120#14519775—21no—
121Q8×Dic61C2×C411yescharacteristic
122C4×Dic122—21no—
123C4×Dic122C2×C411yescharacteristic
124#14519742—21no—
125#14519742C2×C411yescharacteristic
126C4⋊C4×D61—21no—
127C4⋊C4×D61—21no—
128C4⋊C4×D61C2311yescharacteristic
129C4⋊C4×D61C2311yescharacteristic
130C4⋊C4×D61C2311yescharacteristic
131C42×D61—21no—
132C42×D61C2311yescharacteristic
133#14519711C2×C411yescharacteristic
134#14519711C2×C411yescharacteristic
135#14519710C2×C411yescharacteristic
136#14519710C2×C411yescharacteristic
137#14519710C2×C411yescharacteristic
138#14519710C2×C411yescharacteristic
139C4⋊#92418C2×C411yescharacteristic
140#14519706C2×C411yescharacteristic
141#14519706C2×C411yescharacteristic
142#14519702C2×C411yescharacteristic
143#14519702C2×C411yescharacteristic
144#14519701C2×C411yescharacteristic
145#14519701C2×C411yescharacteristic
146#14519700C2×C411yescharacteristic
147#14519700C2×C411yescharacteristic
148C4⋊Q8×C61C2×C411yescharacteristic
149C4×Q8×C61C2×C411yescharacteristic
150#107×C61C2×C411yescharacteristic
151#107×C61C2×C411yescharacteristic
152C4⋊C8×C61C2×C411yescharacteristic
153#103×C61C2×C411yescharacteristic
154#103×C61C2×C411yescharacteristic
155C22×#6923—21no—
156C22×#6923—21no—
157C22×#6923—21no—
158C22×#6923—21no—
159C22×#6923C2×D411yescharacteristic
160C22×#6923C2×D411yescharacteristic
161C22×#6923C2×D411yescharacteristic
162C22×#6923C2×D411yescharacteristic
163C2×Q8×C61—21no—
164C2×Q8×C61C22×C411yescharacteristic
165Q8×D61—21no—
166Q8×D61—21no—
167Q8×D61—42no—
168Q8×D61—42no—
169Q8×D61C2×Q812yes—
170Q8×D61#4112yes—
171C2×C4×D61—21no—
172C2×C4×D61—21no—
173C2×C4×D61—21no—
174C2×C4×D61—21no—
175C2×C4×D61C2×D411yescharacteristic
176C2×C4×D61C2×D411yescharacteristic
177C2×C4×D61C2411yescharacteristic
178C2×Dic122—21no—
179C2×Dic122—21no—
180C2×Dic122—21no—
181C2×Dic122—21no—
182C2×Dic122C22×C411yescharacteristic
183C2×#92420—21no—
184C2×#92420—21no—
185C4⋊#6923—22no—
186C4⋊#6923—21no—
187C4⋊#6923—21no—
188C4⋊#6923—21no—
189C4⋊#6923—21no—
190C4⋊#6923—21no—
191C4⋊#6923—21no—
192C4⋊#6923—21no—
193C4⋊#6923—41no—
194C4⋊#6923—42no—
195C4⋊#6923—42no—
196C4⋊#6923—42no—
197C4⋊#6923—42no—
198C4⋊#6923—42no—
199C4⋊#6923—42no—
200C4⋊#6923C2×Q812yes—
201C4×#6923—21no—
202C4×#6923—21no—
203C4×#6923—21no—
204C4×#6923—21no—
205C4×#6923—42no—
206C4×#6923—42no—
207C4×#6923—42no—
208C4×#6923—42no—
209C4×#6923—42no—
210D61⋊C8—21no—
211D61⋊C8—21no—
212D61⋊C8—21no—
213D61⋊C8C2×Q812yes—
214C2×C8×C61C22×C411yescharacteristic
215C2×C8×C61C22×C411yescharacteristic
216C4⋊C4×C61—21no—
217C4⋊C4×C61—21no—
218C4⋊C4×C61C22×C411yescharacteristic
219C4⋊C4×C61C22×C411yescharacteristic
220C4⋊C4×C61C22×C411yescharacteristic
221C42×C61—21no—
222C42×C61C22×C411yescharacteristic
223C4⋊Dic61—21no—
224C4⋊Dic61—21no—
225C4⋊Dic61C22×C411yescharacteristic
226C4⋊Dic61C22×C411yescharacteristic
227C4⋊Dic61C22×C411yescharacteristic
228#11758196—21no—
229#11758196—21no—
230#11758196—21no—
231#11758196—21no—
232#11758196—21no—
233#11758196—21no—
234#11758196—21no—
235C4×Dic61—21no—
236C4×Dic61—21no—
237C4×Dic61—21no—
238C4×Dic61C22×C411yescharacteristic
239C4×Dic61#4111yescharacteristic
240C4×Dic61#4111yescharacteristic
241C2×#92418C22×C411yescharacteristic
242C2×#92418C22×C411yescharacteristic
243C8×D61—21no—
244C8×D61—21no—
245C8×D61—21no—
246C8×D61—21no—
247C22×D61C22×D411yescharacteristic
248C2×#6923—21no—
249C2×#6923—21no—
250C2×#6923—21no—
251C2×#6923—21no—
252C2×#6923—21no—
253C2×#6923—22no—
254C2×#6923—21no—
255C2×#6923—21no—
256C2×#6923—21no—
257C2×#6923—21no—
258C2×#6923—21no—
259C2×#6923—21no—
260C2×#6923—41no—
261C2×#6923—41no—
262C2×#6923—41no—
263C2×#6923—41no—
264C2×#6923—41no—
265C2×#6923—41no—
266C2×#6923—41no—
267C2×#6923—41no—
268C2×#6923—41no—
269C2×#6923—41no—
270C2×#6923—41no—
271C2×#6923AGL(1,ℤ/8)12yes—
272Q8×C61—21no—
273Q8×C61—42no—
274Q8×C61C4×Q812yescomplemented
275C2×C4×C61—21no—
276C2×C4×C61—21no—
277C2×C4×C61—21no—
278C2×C4×C61—21no—
279C2×C4×C61C4×D411yescharacteristic
280C2×C4×C61C4×D411yescharacteristic
281C2×C4×C61C23×C411yescharacteristic
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—21no—
285C2×Dic61—21no—
286C2×Dic61C4×D411yescharacteristic
287C2×Dic61C4×D411yescharacteristic
288C2×Dic61C2×#4111yescharacteristic
289C4×D61—22no—
290C4×D61—22no—
291C4×D61—21no—
292C4×D61—21no—
293C4×D61—21no—
294C4×D61—21no—
295C4×D61—41no—
296C4×D61—41no—
297C4×D61—41no—
298C4×D61—41no—
299C4×D61—41no—
300C4×D61—41no—
301C4×D61C22×Q811yescharacteristic
302C4×D61C2×#4111yescharacteristic
303C4×D61H(5,𝔽2)11yescharacteristic
304C4×D612−1+411yescharacteristic
305Dic122—21no—
306Dic122—22no—
307Dic122—22no—
308Dic122—42no—
309Dic122—42no—
310Dic122—42no—
311Dic122C4×Q812yescomplemented
312#92420—22no—
313#92420—41no—
314C8×C61—21no—
315C8×C61—21no—
316#92418—21no—
317#92418—21no—
318#22977—611nomaximal, Sylow
319C22×C61C2×C4×D411yescharacteristic
320C2×D61#54611yescharacteristic
321C2×D61D4×Q811yescharacteristic
322C2×D61C2×AGL(1,ℤ/8)11yescharacteristic
323C2×D61#57511yescharacteristic
324C2×D61#57811yescharacteristic
325C2×D61#57811yescharacteristic
326#6923—22no—
327#6923—42no—
328#6923—41no—
329#6923—41no—
330#6923—41no—
331#6923—81no—
332#6923—81no—
333#6923—81no—
334C4×C61—22no—
335C4×C61—21no—
336C4×C61—21no—
337C4×C61—41no—
338C4×C61—41no—
339C4×C61—41no—
340C4×C61C2×C4×Q811yescharacteristic
341C4×C61#52011yescharacteristic
342Dic61—22no—
343Dic61—21no—
344Dic61—21no—
345Dic61—41no—
346Dic61—41no—
347Dic61—41no—
348Dic61#55211yescharacteristic
349Dic61#55411yescharacteristic
350C2×#477—611no—
351#2365—611no—
352#2351—611no—
353#1993—611no—
354#1949—611no—
355#1943—611no—
356#1942—611no—
357#1921—611no—
358#1918—611no—
359#1865—611no—
360#1863—611no—
361#1771—611no—
362#1763—611no—
363#1763—611no—
364C4×#103—611no—
365C2×C61#236011yescharacteristic
366C2×C61C4×AGL(1,ℤ/8)11yescharacteristic
367C2×C61#295011yescharacteristic
368D61#330811yescharacteristic
369D61#331311yescharacteristic
370D61#338611yescharacteristic
371D61#339011yescharacteristic
372C2×C4⋊Q8—611no—
373C2×C4×Q8—611no—
374C2×C4×Q8—611no—
375C2×C4×Q8—611no—
376C2×C4×Q8—1221no—
377#477—611no—
378#477—611no—
379#477—611no—
380#477—611no—
381#477—611no—
382#477—611no—
383#477—611no—
384#477#692311yescharacteristic, complemented
385C2×#107—611no—
386C2×#107—611no—
387C2×#107—611no—
388C2×#106—611no—
389C2×C4⋊C8—611no—
390C2×#103—611no—
391C2×#103—611no—
392C2×#103—611no—
393C2×#103—611no—
394C2×#97—611no—
395C2×#97—611no—
396C2×C4×C8—611no—
397#391—1221no—
398#389—611no—
399#389—611no—
400#389—611no—
401#389—611no—
402#389—1221no—
403#389—1221no—
404#387—1221no—
405#387—1221no—
406#382—611no—
407#382—1221no—
408C4×C4⋊C4—611no—
409C4×C4⋊C4—611no—
410C4×C4⋊C4—611no—
411C4×C4⋊C4—611no—
412C4×C4⋊C4—1221no—
413#340—611no—
414#340—611no—
415#340—611no—
416#340—611no—
417#340—611no—
418#340—611no—
419#340—611no—
420#340—611no—
421#336—611no—
422#336—611no—
423C61#2297711yescharacteristic, complemented, Sylow
424C22×Q8—611no—
425C22×Q8—1221no—
426C22×C8—611no—
427C22×C8—611no—
428C22×C8—611no—
429C22×C8—611no—
430C4⋊Q8—611no—
431C4⋊Q8—611no—
432C4⋊Q8—611no—
433C4⋊Q8—1221no—
434C4⋊Q8—1221no—
435C4⋊Q8C2×#692311yescharacteristic
436C4×Q8—611no—
437C4×Q8—611no—
438C4×Q8—611no—
439C4×Q8—1221no—
440C4×Q8—1221no—
441C4×Q8—1222no—
442C4×Q8—1222no—
443C4×Q8—2441no—
444C4×Q8—2441no—
445C4×Q8—2444no—
446C4×Q8C2×#692311yescharacteristic
447C2×C4⋊C4—611no—
448C2×C4⋊C4—611no—
449C2×C4⋊C4—611no—
450C2×C4⋊C4—611no—
451C2×C4⋊C4—611no—
452C2×C4⋊C4—611no—
453C2×C4⋊C4—611no—
454C2×C4⋊C4—611no—
455C2×C4⋊C4—611no—
456C2×C4⋊C4—1221no—
457C2×C4⋊C4—1221no—
458C2×C4⋊C4—1221no—
459C2×C4⋊C4—1221no—
460C2×C4⋊C4—1221no—
461C2×C4⋊C4—1221no—
462C2×C4⋊C4—1221no—
463C2×C4⋊C4—1221no—
464C2×C42—611no—
465C2×C42—611no—
466C2×C42—611no—
467C2×C42—1221no—
468C2×C42—1221no—
469C2×C42—1221no—
470C2×C42—1221no—
471C2×C42—1221no—
472C2×C42—1221no—
473#107—611no—
474#107—611no—
475#107—611no—
476#107—611no—
477#107—611no—
478#107—611no—
479#107—2441no—
480#107C2×#692311yescharacteristic
481#107C2×#692311yescharacteristic
482#106—2441no—
483C4⋊C8—611no—
484C4⋊C8—611no—
485C4⋊C8—611no—
486C4⋊C8C2×#692311yescharacteristic
487#103—614no—
488#103—611no—
489#103—611no—
490#103—611no—
491#103—611no—
492#103—611no—
493#103—611no—
494#103—1222no—
495#103C2×#692311yescharacteristic
496#103C2×#692311yescharacteristic
497#97—1221no—
498#97—1221no—
499#97—2441no—
500C4×C8—2441no—
501#95—611no—
502#95—611no—
503#95—1221no—
504#95—1221no—
505#95—1221no—
506#95—1221no—
507#95—1221no—
508#95—1221no—
509#95—1221no—
510#95—1221no—
511#95—1221no—
512C2×Q8—21no—
513C2×Q8—612no—
514C2×Q8—612no—
515C2×Q8—611no—
516C2×Q8—1221no—
517C2×Q8—1221no—
518C2×Q8—1221no—
519C2×Q8—1221no—
520C2×Q8—1221no—
521C2×Q8—1221no—
522C2×Q8—2442no—
523C2×Q8—2442no—
524C2×Q8C22×#692311yescharacteristic
525C22×C4—611no—
526C22×C4—611no—
527C22×C4—611no—
528C22×C4—611no—
529C22×C4—611no—
530C22×C4—611no—
531C22×C4—611no—
532C22×C4—1221no—
533C22×C4—1221no—
534C22×C4—1221no—
535C22×C4—1221no—
536C22×C4—1221no—
537C22×C4—1221no—
538C22×C4—1221no—
539C22×C4—1221no—
540C2×C8—612no—
541C2×C8—611no—
542C2×C8—611no—
543C2×C8—1221no—
544C2×C8—1221no—
545C2×C8—1221no—
546C2×C8—1221no—
547C2×C8—1221no—
548C2×C8—1221no—
549C2×C8—1221no—
550C2×C8—1221no—
551C2×C8—1221no—
552C2×C8C22×#692311yescharacteristic
553C2×C8C22×#692311yescharacteristic
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—612no—
557C4⋊C4—611no—
558C4⋊C4—611no—
559C4⋊C4—611no—
560C4⋊C4—1221no—
561C4⋊C4—1221no—
562C4⋊C4—1221no—
563C4⋊C4—1221no—
564C4⋊C4—1221no—
565C4⋊C4—1221no—
566C4⋊C4—1221no—
567C4⋊C4—1222no—
568C4⋊C4—1221no—
569C4⋊C4—1221no—
570C4⋊C4—1221no—
571C4⋊C4—1221no—
572C4⋊C4—1221no—
573C4⋊C4—1221no—
574C4⋊C4—1221no—
575C4⋊C4—1221no—
576C4⋊C4—1221no—
577C4⋊C4—2442no—
578C4⋊C4—2442no—
579C4⋊C4—2441no—
580C4⋊C4—2442no—
581C4⋊C4—2442no—
582C4⋊C4—2442no—
583C4⋊C4—2442no—
584C4⋊C4C22×#692311yescharacteristic
585C4⋊C4C22×#692311yescharacteristic
586C4⋊C4C22×#692311yescharacteristic
587C42—21no—
588C42—611no—
589C42—611no—
590C42—611no—
591C42—1221no—
592C42—1221no—
593C42—1221no—
594C42—1221no—
595C42—1221no—
596C42—1221no—
597C42—1221no—
598C42—2442no—
599C42—2442no—
600C42—2442no—
601C42—2442no—
602C42—2442no—
603C42C22×#692311yescharacteristic
604C23—611no—
605Q8—21no—
606Q8—42no—
607Q8—612no—
608Q8—1222no—
609Q8—1222no—
610Q8—1221no—
611Q8—2442no—
612Q8—2442no—
613Q8—2442no—
614Q8Q8×#692312yescomplemented
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—611no—
620C2×C4—611no—
621C2×C4—611no—
622C2×C4—611no—
623C2×C4—611no—
624C2×C4—612no—
625C2×C4—611no—
626C2×C4—611no—
627C2×C4—1221no—
628C2×C4—1222no—
629C2×C4—1221no—
630C2×C4—1221no—
631C2×C4—1221no—
632C2×C4—1222no—
633C2×C4—1221no—
634C2×C4—1221no—
635C2×C4—1221no—
636C2×C4—1221no—
637C2×C4—1221no—
638C2×C4—1221no—
639C2×C4—1221no—
640C2×C4—1222no—
641C2×C4—1221no—
642C2×C4—1221no—
643C2×C4—1221no—
644C2×C4—1221no—
645C2×C4—1221no—
646C2×C4—1221no—
647C2×C4—1221no—
648C2×C4—1221no—
649C2×C4—2441no—
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—2441no—
659C2×C4—2441no—
660C2×C4—2441no—
661C2×C4—2441no—
662C2×C4—2441no—
663C2×C4—2441no—
664C2×C4—2441no—
665C2×C4—2441no—
666C2×C4D4×#692311yescharacteristic
667C2×C4D4×#692311yescharacteristic
668C2×C4C23×#692311yescharacteristic
669C8—21no—
670C8—21no—
671C8—1222no—
672C8—1221no—
673C8—1221no—
674C8—2441no—
675C22—611no—
676C22—611no—
677C22—611no—
678C22—611no—
679C22—611no—
680C22—611no—
681C22C2×D4×#692311yescharacteristic
682C4—21no—
683C4—21no—
684C4—22no—
685C4—41no—
686C4—41no—
687C4—41no—
688C4—611no—
689C4—611no—
690C4—1222no—
691C4—1221no—
692C4—1221no—
693C4—1222no—
694C4—4881no—
695C4—4881no—
696C4—4881no—
697C4—2441no—
698C4—2441no—
699C4—2441no—
700C4—2442no—
701C4—2441no—
702C4—2441no—
703C4—2441no—
704C4C2×Q8×#692311yescharacteristic
705C4#1684083111yescharacteristic
706C2—611no—
707C2—611no—
708C2—611no—
709C2—611no—
710C2#2146234311yescharacteristic
711C2AGL(1,ℤ/8)×#692311yescharacteristic
712C2#2146258011yescharacteristic
subgroupG/H
centerC22C2×D4×#6923
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC61×#477C4
socleC22×C61C2×C4×D4
prime radicalC22×D61C22×D4
cosocleC2×C4×D61C24
hypercenter#477#6923
hypocenterC61#22977
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C42 ◁ #477

Complements

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

NH ≅ G/Ntype
54. #16840058C4semidirect
55. #16840057C4semidirect
56. #16840056C4semidirect
57. #16840056C4semidirect
58. #16840055C4semidirect
59. #16840055C4semidirect
60. #16840054C4semidirect
66. C61×#477C4semidirect
96. #14519840Q8semidirect
274. Q8×C61C4×Q8semidirect
311. Dic122C4×Q8semidirect
384. #477#6923semidirect
423. C61#22977semidirect
614. Q8Q8×#6923semidirect

Maximal subgroups

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

subgroupindex
#214623482
#214623342
#214620032
#214619322
#214619242
#214619232
#214618832
#214618802
#214617852
#214617832
#214616202
#214615922
#214615912
#103×#69232
#477×D612
#2297761