Finite Group Databasebeta

← #29828829

Subgroups — #29828829

Order 15616.

1868 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×D4×D61C211yesmaximal, characteristic
2C2×#16839964C211yesmaximal, characteristic, complemented
3C2×#16839911C212yesmaximal
4#21454166C211yesmaximal, characteristic, complemented
5#21446155C212yesmaximal, complemented
6#21446150C212yesmaximal, complemented
7#21446123C212yesmaximal, complemented
8#21445820C211yesmaximal, characteristic, complemented
9#21445819C211yesmaximal, characteristic, complemented
10#21445796C211yesmaximal, characteristic, complemented
11C2×C61×#461C211yesmaximal, characteristic, complemented
12C22×D4×D61C2211yescharacteristic
13C23×C4×D61—21no—
14C22×#11758201C2212yes—
15C2×#14519753C2212yes—
16C2×C4×D244C2211yescharacteristic
17C2×D4×Dic61C2211yescharacteristic
18C2×#14519739C2211yescharacteristic
19C2×C4×C22⋊D61—21no—
20C2×#14519737—21no—
21C4×D4×D61—24no—
22C4×D4×D61—24no—
23C2×C4⋊C4×D61C2211yescharacteristic
24C2×C22⋊C4×D61—21no—
25C2×C42×D61C2211yescharacteristic
26#16839964—24no—
27#16839911—28no—
28C2×C4⋊#92418C2211yescharacteristic, complemented
29C2×#14519701C2212yescomplemented
30C2×#14519699C2212yes—
31C2×#14519698C2212yes—
32C2×#14519689C2212yes—
33#16839669C2212yescomplemented
34#16839658—21no—
35#16839658—21no—
36#16839632C2211yescharacteristic, complemented
37#16839619—21no—
38#16839619—21no—
39#16839525C2212yescomplemented
40#16839524C2212yescomplemented
41#16839516C2212yescomplemented
42C22×SD16×C61C2212yes—
43C2×C4⋊Q8×C61C2211yescharacteristic, complemented
44C2×C4×D4×C61C2211yescharacteristic
45C61×#461—24no—
46C2×C4⋊C8×C61C2211yescharacteristic, complemented
47C2×#103×C61C2212yescomplemented
48C24×D61—21no—
49C22×D244C2311yescharacteristic
50C22×C22⋊D61—21no—
51C2×D4×D61—22no—
52C2×D4×D61—22no—
53C2×D4×D61—22no—
54C2×D4×D61—22no—
55C2×D4×D61—22no—
56C2×D4×D61D414yes—
57C23×Dic61—21no—
58C22×C4×D61—28no—
59C22×C4×D61—21no—
60C22×C4×D61—21no—
61C22×C4×D61—21no—
62C22×C4×D61—44no—
63C22×C4×D61—44no—
64C22×C4×D61D411yescharacteristic
65C22×C4×D61D411yescharacteristic
66C22×C4×D61C2311yescharacteristic
67C2×#11758201—24no—
68C2×#11758201—24no—
69C2×#11758201—24no—
70C22×#92418C2312yes—
71#14519753—24no—
72#14519753—24no—
73C4×D244—22no—
74C4×D244D414yes—
75D4×Dic61—22no—
76D4×Dic61—22no—
77#14519739—22no—
78#14519739—22no—
79C4×C22⋊D61—28no—
80#14519737—28no—
81C2×C4⋊Dic61—21no—
82C2×C4⋊Dic61—21no—
83C2×C4⋊Dic61C2312yes—
84C2×C4⋊Dic61C2311yescharacteristic
85C2×#11758196—21no—
86C2×#11758196—22no—
87C4⋊C4×D61—22no—
88C4⋊C4×D61—22no—
89C2×C22⋊Dic61—21no—
90C2×#11758198—21no—
91C2×#11758198—21no—
92C2×#11758198—22no—
93C22⋊C4×D61—28no—
94C2×C4×Dic61D411yescharacteristic
95C2×C4×Dic61D411yescharacteristic
96C2×C4×Dic61C2311yescharacteristic
97C42×D61—22no—
98C42×D61—22no—
99C4⋊#92418—22no—
100#14519701—24no—
101#14519699—24no—
102#14519698—24no—
103#14519689—24no—
104#14519684—22no—
105#14519684—22no—
106C22×Q8×C61C2312yes—
107C22×D4×C61C2311yescharacteristic
108C23×C4×C61—21no—
109C2×SD16×C61—24no—
110C2×SD16×C61—24no—
111C2×SD16×C61—24no—
112C22×C8×C61C2312yes—
113C4⋊Q8×C61—22no—
114C4⋊Q8×C61—22no—
115C4×D4×C61—22no—
116C4×D4×C61D414yes—
117C2×C4⋊C4×C61—21no—
118C2×C4⋊C4×C61—21no—
119C2×C4⋊C4×C61C2311yescharacteristic
120C2×C22⋊C4×C61—21no—
121C2×C42×C61C2311yescharacteristic
122C4⋊C8×C61—22no—
123#103×C61—24no—
124C24×C61—21no—
125C23×D61—24no—
126C23×D61—24no—
127C23×D61—21no—
128C23×D61—24no—
129C23×D61—42no—
130C23×D61—42no—
131C23×D61—42no—
132C23×D61—42no—
133C23×D61C2×D411yescharacteristic
134C2×Q8×C61—22no—
135C2×Q8×C61—22no—
136C2×Q8×C61—22no—
137C2×Q8×C61—22no—
138C2×Q8×C61—22no—
139C2×Q8×C61—22no—
140C2×D4×C61—21no—
141C2×D4×C61—21no—
142C2×D4×C61—21no—
143C2×D4×C61C2×D412yes—
144C2×D4×C61C2×D412yes—
145C2×D4×C61#4112yes—
146C22×C4×C61—21no—
147C22×C4×C61—24no—
148C22×C4×C61—22no—
149C22×C4×C61—42no—
150C22×C4×C61—42no—
151C22×C4×C61C2×D411yescharacteristic
152C22×C4×C61C2×D411yescharacteristic
153C22×C4×C61C2411yescharacteristic
154C2×C22⋊D61—24no—
155C2×C22⋊D61—24no—
156C2×C22⋊D61—24no—
157C22×Dic61—24no—
158C22×Dic61—21no—
159C22×Dic61—22no—
160C22×Dic61—42no—
161C22×Dic61—42no—
162C22×Dic61C2×D411yescharacteristic
163C22×Dic61C2×D411yescharacteristic
164C22×Dic61C2×D411yescharacteristic
165D4×D61—28no—
166D4×D61—28no—
167D4×D61—28no—
168D4×D61—28no—
169C2×D244—21no—
170C2×D244—21no—
171C2×D244—21no—
172C2×D244C2×D412yes—
173C2×D244C2×D412yes—
174C2×D244#4112yes—
175C2×C4×D61—22no—
176C2×C4×D61—22no—
177C2×C4×D61—21no—
178C2×C4×D61—21no—
179C2×C4×D61—21no—
180C2×C4×D61—21no—
181C2×C4×D61—24no—
182C2×C4×D61—24no—
183C2×C4×D61—22no—
184C2×C4×D61—24no—
185C2×C4×D61—22no—
186C2×C4×D61—432no—
187C2×C4×D61—41no—
188C2×C4×D61—42no—
189C2×C4×D61—42no—
190C2×C4×D61—42no—
191C2×C4×D61—42no—
192C2×C4×D61—42no—
193C2×C4×D61—42no—
194C2×C4×D61SD1614yescomplemented
195C2×C4×D61C2×D412yes—
196C2×C4×D61#4112yes—
197SD16×C61—48no—
198C2×C8×C61—22no—
199C2×C8×C61—22no—
200C2×C8×C61—22no—
201C4⋊C4×C61—21no—
202C4⋊C4×C61—42no—
203C4⋊C4×C61—42no—
204C4⋊C4×C61C2×D412yes—
205C22⋊C4×C61—24no—
206C42×C61C2×D412yes—
207C42×C61C2×D412yes—
208C22⋊Dic61—24no—
209#11758201—48no—
210#11758198—24no—
211#11758198—24no—
212#11758198—44no—
213C4⋊Dic61—21no—
214C4⋊Dic61—22no—
215C4⋊Dic61—22no—
216C4⋊Dic61—42no—
217C4⋊Dic61—42no—
218C4⋊Dic61C2×D412yes—
219#11758196—24no—
220#11758196—44no—
221C4×Dic61—22no—
222C4×Dic61—22no—
223C4×Dic61—21no—
224C4×Dic61—21no—
225C2×#92418—22no—
226C2×#92418—22no—
227C2×#92418—22no—
228C23×C61—22no—
229C23×C61—22no—
230C23×C61—22no—
231C23×C61—41no—
232C23×C61—41no—
233C23×C61—41no—
234C23×C61—41no—
235C23×C61C22×D411yescharacteristic
236C22×D61—21no—
237C22×D61—21no—
238C22×D61—21no—
239C22×D61—21no—
240C22×D61—216no—
241C22×D61—22no—
242C22×D61—22no—
243C22×D61—22no—
244C22×D61—48no—
245C22×D61—48no—
246C22×D61—48no—
247C22×D61—48no—
248C22×D61—48no—
249C22×D61—41no—
250C22×D61—41no—
251C22×D61—41no—
252C22×D61—41no—
253C22×D61—48no—
254C22×D61#12112yes—
255C22×D61C2×SD1612yes—
256C22×D61#13712yes—
257Q8×C61—42no—
258Q8×C61—42no—
259Q8×C61—42no—
260Q8×C61—42no—
261D4×C61—22no—
262D4×C61—22no—
263D4×C61—22no—
264D4×C61#12114yes—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—22no—
268C2×C4×C61—41no—
269C2×C4×C61—41no—
270C2×C4×C61—48no—
271C2×C4×C61—42no—
272C2×C4×C61—42no—
273C2×C4×C61—42no—
274C2×C4×C61#12012yes—
275C2×C4×C61#12012yes—
276C2×C4×C61C2×SD1612yes—
277C2×C4×C61AGL(1,ℤ/8)12yes—
278C2×C4×C61C22×D411yescharacteristic
279C2×C4×C61C22×D411yescharacteristic
280C2×C4×C61C22×D411yescharacteristic
281C2×C4×C61C2×#4111yescharacteristic
282C2×C4×C61C2×#4111yescharacteristic
283C2×C4×C61C2×#4111yescharacteristic
284C22⋊D61—216no—
285C2×Dic61—21no—
286C2×Dic61—21no—
287C2×Dic61—21no—
288C2×Dic61—21no—
289C2×Dic61—21no—
290C2×Dic61—22no—
291C2×Dic61—21no—
292C2×Dic61—21no—
293C2×Dic61—48no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—42no—
297C2×Dic61—42no—
298C2×Dic61—42no—
299C2×Dic61#12112yes—
300C2×Dic61C2×SD1612yes—
301D244—22no—
302D244—22no—
303D244—22no—
304D244#12114yes—
305C4×D61—22no—
306C4×D61—22no—
307C4×D61—22no—
308C4×D61—22no—
309C4×D61—28no—
310C4×D61—48no—
311C4×D61—44no—
312C4×D61—48no—
313C4×D61—48no—
314C8×C61—42no—
315#92418—42no—
316#32905—611nomaximal, Sylow
317C22×C61—24no—
318C22×C61—42no—
319C22×C61—42no—
320C22×C61—42no—
321C22×C61—42no—
322C22×C61—42no—
323C22×C61—42no—
324C22×C61C2×#12011yescharacteristic
325C22×C61C2×#12111yescharacteristic
326C22×C61#52511yescharacteristic
327C22×C61C22×SD1611yescharacteristic
328C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
329C22×C61C2×#13711yescharacteristic
330C22×C61#57511yescharacteristic
331C2×D61—22no—
332C2×D61—22no—
333C2×D61—22no—
334C2×D61—22no—
335C2×D61—22no—
336C2×D61—22no—
337C2×D61—24no—
338C2×D61—432no—
339C2×D61—42no—
340C2×D61—42no—
341C2×D61—42no—
342C2×D61—42no—
343C2×D61—42no—
344C2×D61—42no—
345C2×D61#46114yescomplemented
346C4×C61—22no—
347C4×C61—42no—
348C4×C61—82no—
349C4×C61#45014yescomplemented
350C4×C61C2×#12111yescharacteristic
351C4×C61C2×#12111yescharacteristic
352C4×C61#52511yescharacteristic
353C4×C61#52511yescharacteristic
354Dic61—22no—
355Dic61—22no—
356Dic61—42no—
357Dic61—41no—
358Dic61—82no—
359C22×C4×D4—611no—
360C2×#461—611no—
361C2×#461D6111yescharacteristic, complemented
362C2×#450—612no—
363#2857—611no—
364#1877—612no—
365#1877—612no—
366#1872—612no—
367#1802—611no—
368#1802—611no—
369#1797—611no—
370C2×C61—44no—
371C2×C61#284711yescharacteristic
372C2×C61C2×#45011yescharacteristic
373C2×C61#300711yescharacteristic
374C2×C61C2×#46111yescharacteristic
375C2×C61#303611yescharacteristic
376C2×C61#310111yescharacteristic
377C2×C61#311011yescharacteristic
378D61—24no—
379D61—44no—
380C23×D4—611no—
381C24×C4—1221no—
382C22×SD16—612no—
383C22×SD16C2×D6112yes—
384C2×C4⋊Q8C2×D6111yescharacteristic, complemented
385C2×C22⋊Q8—612no—
386C2×C4×D4—611no—
387C2×C4×D4—611no—
388C2×C4×D4—611no—
389C2×C4×D4—1221no—
390C2×C4×D4—1221no—
391C2×C4×D4—1224no—
392C2×C4×D4—1224no—
393C2×C4×D4C2×D6111yescharacteristic
394C22×C4⋊C4—611no—
395C22×C22⋊C4—1221no—
396C22×C42—611no—
397#461—24no—
398#461—1224no—
399#450—1228no—
400C2×C4⋊C8—611no—
401C2×C4⋊C8C2×D6111yescharacteristic, complemented
402C2×#103—612no—
403C2×#103C2×D6112yescomplemented
404C2×#102—612no—
405C2×#102—612no—
406C2×C22⋊C8—612no—
407#391—612no—
408#389—1221no—
409#389—1221no—
410#384—611no—
411#380—1221no—
412#380—1221no—
413#340—612no—
414#340—612no—
415#336—612no—
416C61#3290511yescharacteristic, complemented, Sylow
417C25—1221no—
418C22×Q8C22×D6112yes—
419C22×D4—614no—
420C22×D4—611no—
421C22×D4—1222no—
422C22×D4—1221no—
423C22×D4—1222no—
424C22×D4—1222no—
425C22×D4—1222no—
426C22×D4—1222no—
427C22×D4C22×D6111yescharacteristic
428C23×C4—21no—
429C23×C4—611no—
430C23×C4—611no—
431C23×C4—611no—
432C23×C4—1221no—
433C23×C4—1221no—
434C23×C4—1228no—
435C23×C4—1221no—
436C23×C4—1221no—
437C23×C4—2444no—
438C23×C4—2444no—
439C2×SD16—24no—
440C2×SD16—24no—
441C2×SD16—24no—
442C2×SD16—1224no—
443C2×SD16—1224no—
444C2×SD16—1224no—
445C22×C8—612no—
446C22×C8C22×D6112yes—
447C4⋊Q8—22no—
448C4⋊Q8—22no—
449C22⋊Q8—1224no—
450C22⋊Q8—1224no—
451C4×D4—22no—
452C4×D4—614no—
453C4×D4—1228no—
454C4×D4—1222no—
455C4×D4—1222no—
456C4×D4—1228no—
457C4×D4—1222no—
458C4×D4—1222no—
459C4×D4—1222no—
460C4×D4C22⋊D6114yes—
461C2×C4⋊C4—21no—
462C2×C4⋊C4—21no—
463C2×C4⋊C4—611no—
464C2×C4⋊C4—612no—
465C2×C4⋊C4—1222no—
466C2×C4⋊C4—1221no—
467C2×C4⋊C4—1222no—
468C2×C4⋊C4—1222no—
469C2×C4⋊C4—1221no—
470C2×C4⋊C4—1221no—
471C2×C4⋊C4C22×D6111yescharacteristic
472C2×C22⋊C4—21no—
473C2×C22⋊C4—1228no—
474C2×C22⋊C4—1221no—
475C2×C22⋊C4—1221no—
476C2×C22⋊C4—1221no—
477C2×C22⋊C4—1222no—
478C2×C42—611no—
479C2×C42—611no—
480C2×C42—611no—
481C2×C42—1222no—
482C2×C42—1222no—
483C2×C42C22×D6111yescharacteristic
484C4⋊C8—22no—
485C4⋊C8—1222no—
486#103—24no—
487#103—1224no—
488#102—1224no—
489#102—1224no—
490C22⋊C8—1224no—
491#95—1222no—
492#95—1222no—
493C24—21no—
494C24—611no—
495C24—1224no—
496C24—1224no—
497C24—1224no—
498C24—1221no—
499C24—2442no—
500C24—2442no—
501C24—2442no—
502C24—2442no—
503C2×Q8—22no—
504C2×Q8—22no—
505C2×Q8—22no—
506C2×Q8—22no—
507C2×Q8—22no—
508C2×Q8—22no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—612no—
513C2×D4—612no—
514C2×D4—612no—
515C2×D4—1224no—
516C2×D4—1228no—
517C2×D4—1228no—
518C2×D4—1228no—
519C2×D4—1224no—
520C2×D4—1224no—
521C2×D4—1228no—
522C2×D4—1221no—
523C2×D4—1221no—
524C2×D4—1221no—
525C2×D4D4×D6112yes—
526C2×D4#1175822412yes—
527C2×D4C2×C22⋊D6112yes—
528C22×C4—21no—
529C22×C4—24no—
530C22×C4—22no—
531C22×C4—42no—
532C22×C4—42no—
533C22×C4—611no—
534C22×C4—611no—
535C22×C4—612no—
536C22×C4—612no—
537C22×C4—614no—
538C22×C4—611no—
539C22×C4—1222no—
540C22×C4—1224no—
541C22×C4—1224no—
542C22×C4—1221no—
543C22×C4—1221no—
544C22×C4—1221no—
545C22×C4—1221no—
546C22×C4—1222no—
547C22×C4—1222no—
548C22×C4—1224no—
549C22×C4—1221no—
550C22×C4—1222no—
551C22×C4—1224no—
552C22×C4—1222no—
553C22×C4—2441no—
554C22×C4—2442no—
555C22×C4—2442no—
556C22×C4—24432no—
557C22×C4—2442no—
558C22×C4—2442no—
559C22×C4—2442no—
560C22×C4—2442no—
561C22×C4—2442no—
562C22×C4—2442no—
563C22×C4D4×D6111yescharacteristic
564C22×C4D4×D6111yescharacteristic
565C22×C4C23×D6111yescharacteristic
566SD16—48no—
567SD16—2448no—
568C2×C8—22no—
569C2×C8—22no—
570C2×C8—22no—
571C2×C8—1222no—
572C2×C8—1222no—
573C2×C8—1222no—
574C4⋊C4—21no—
575C4⋊C4—42no—
576C4⋊C4—42no—
577C4⋊C4—612no—
578C4⋊C4—1224no—
579C4⋊C4—1221no—
580C4⋊C4—1222no—
581C4⋊C4—1222no—
582C4⋊C4—2442no—
583C4⋊C4—2444no—
584C4⋊C4—2442no—
585C4⋊C4C2×C22⋊D6112yes—
586C22⋊C4—24no—
587C22⋊C4—1224no—
588C22⋊C4—1224no—
589C22⋊C4—1224no—
590C22⋊C4—2444no—
591C42—1221no—
592C42—1221no—
593C42—1222no—
594C42—1222no—
595C42D4×D6112yes—
596C42C2×C22⋊D6112yes—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—612no—
605C23—612no—
606C23—612no—
607C23—12216no—
608C23—1221no—
609C23—1221no—
610C23—1221no—
611C23—1221no—
612C23—1222no—
613C23—1222no—
614C23—1222no—
615C23—2448no—
616C23—2448no—
617C23—2448no—
618C23—2448no—
619C23—2448no—
620C23—2448no—
621C23—2441no—
622C23—2441no—
623C23—2441no—
624C23—2441no—
625C23C2×D4×D6111yescharacteristic
626Q8—42no—
627Q8—42no—
628Q8—42no—
629Q8—42no—
630D4—22no—
631D4—22no—
632D4—22no—
633D4—614no—
634D4—12216no—
635D4—1222no—
636D4—1222no—
637D4—1222no—
638D4#1451974814yes—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—22no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—48no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—612no—
649C2×C4—612no—
650C2×C4—1221no—
651C2×C4—1221no—
652C2×C4—1221no—
653C2×C4—1221no—
654C2×C4—1222no—
655C2×C4—1222no—
656C2×C4—1222no—
657C2×C4—1222no—
658C2×C4—1228no—
659C2×C4—1221no—
660C2×C4—1222no—
661C2×C4—1221no—
662C2×C4—1221no—
663C2×C4—2444no—
664C2×C4—2448no—
665C2×C4—2448no—
666C2×C4—2448no—
667C2×C4—2442no—
668C2×C4—2442no—
669C2×C4—2442no—
670C2×C4—2441no—
671C2×C4—2441no—
672C2×C4—2448no—
673C2×C4#1451974512yes—
674C2×C4#1451974512yes—
675C2×C4SD16×D6112yes—
676C2×C4#1451980412yes—
677C2×C4C2×D4×D6111yescharacteristic
678C2×C4C2×D4×D6111yescharacteristic
679C2×C4C22×C22⋊D6111yescharacteristic
680C2×C4#41×D6111yescharacteristic
681C2×C4#41×D6111yescharacteristic
682C2×C4C2×#1175822411yescharacteristic
683C8—42no—
684C8—2442no—
685C22—24no—
686C22—42no—
687C22—42no—
688C22—42no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—614no—
693C22—1222no—
694C22—1222no—
695C22—1222no—
696C22—1222no—
697C22—1222no—
698C22—1222no—
699C22—1224no—
700C22—24432no—
701C22—2442no—
702C22—2442no—
703C22—2442no—
704C22—2442no—
705C22—2442no—
706C22—2442no—
707C22C2×#1451974511yescharacteristic
708C22#121×D6111yescharacteristic
709C22#1684027211yescharacteristic
710C22C2×SD16×D6111yescharacteristic
711C22C2×#1451980411yescharacteristic
712C22#137×D6111yescharacteristic
713C22#1684056111yescharacteristic
714C4—22no—
715C4—42no—
716C4—82no—
717C4—1222no—
718C4—1222no—
719C4—4882no—
720C4—2442no—
721C4—2441no—
722C4#1683991114yescomplemented
723C4#121×D6111yescharacteristic
724C4C2×#1451974811yescharacteristic
725C4#1684026911yescharacteristic
726C4#1684027211yescharacteristic
727C2—44no—
728C2—1224no—
729C2—2444no—
730C2#2145409811yescharacteristic
731C2C2×#1683991111yescharacteristic
732C2#2145507511yescharacteristic
733C2#461×D6111yescharacteristic
734C2#2145528411yescharacteristic
735C2#2145582611yescharacteristic
736C2#2145591711yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC2×C61×#461C2
socleC23×C61C22×D4
prime radicalC22×D4×D61C22
hypercenterC2×#461D61
hypocenterC61#32905
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#461

Complements

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

NH ≅ G/Ntype
2. C2×#16839964C2semidirect
4. #21454166C2semidirect
5. #21446155C2semidirect
6. #21446150C2semidirect
7. #21446123C2semidirect
8. #21445820C2semidirect
9. #21445819C2semidirect
10. #21445796C2semidirect
11. C2×C61×#461C2semidirect
28. C2×C4⋊#92418C22semidirect
29. C2×#14519701C22semidirect
33. #16839669C22semidirect
36. #16839632C22semidirect
39. #16839525C22semidirect
40. #16839524C22semidirect
41. #16839516C22semidirect
43. C2×C4⋊Q8×C61C22semidirect
46. C2×C4⋊C8×C61C22semidirect
47. C2×#103×C61C22semidirect
194. C2×C4×D61SD16semidirect
345. C2×D61#461semidirect
349. C4×C61#450semidirect
361. C2×#461D61semidirect
384. C2×C4⋊Q8C2×D61semidirect
401. C2×C4⋊C8C2×D61semidirect
403. C2×#103C2×D61semidirect
416. C61#32905semidirect
722. C4#16839911semidirect

Maximal subgroups

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

subgroupindex
C2×C4×D4×D612
C2×#168399642
C2×#168399112
#214541662
#214461552
#214461502
#214461232
#214458202
#214458192
#214457962
C2×C61×#4612
#3290561