Finite Group Databasebeta

← C2×#21446284 #29681835

Subgroups — C2×#21446284 #29681835

Order 15616.

1854 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×M16×D61C211yesmaximal, characteristic
2C22×#14519753C211yesmaximal, characteristic
3C22×#14519696C211yesmaximal, characteristic, complemented
4C2×#16839725C211yesmaximal, characteristic
5#21446284C218yesmaximal, direct product factor
6C2×#16839530C211yesmaximal, characteristic, complemented
7C2×#16839530C211yesmaximal, characteristic, complemented
8C22×#101×C61C211yesmaximal, characteristic, complemented
9C23×C4×D61C2211yescharacteristic
10C22×#11758194C2211yescharacteristic
11C22×#11758194C2211yescharacteristic
12C22×#11758189—21no—
13C2×M16×D61—24no—
14C2×M16×D61—24no—
15C2×M16×D61—22no—
16C2×M16×D61C2214yes—
17C22×C8×D61—21no—
18C2×#14519753—21no—
19C2×#14519753—21no—
20C2×#14519753—22no—
21C2×#14519753—21no—
22C2×#14519753—22no—
23C2×#14519753—21no—
24C2×#14519753C414yes—
25C2×#14519753C2214yes—
26C22×C4⋊Dic61C2211yescharacteristic
27C22×#11758196C412yes—
28C22×#11758198C412yes—
29C2×#14519696—24no—
30C2×#14519696C2214yescomplemented
31#16839725—22no—
32#16839725C2214yes—
33C2×#14519689—21no—
34C2×#14519689—21no—
35#16839530C2214yescomplemented
36#16839530C2214yescomplemented
37C23×Q8×C61C2211yescharacteristic
38C22×M16×C61C2211yescharacteristic
39C22×M16×C61C2211yescharacteristic
40C2×#101×C61—24no—
41C2×#101×C61C2214yescomplemented
42C24×D61C2×C411yescharacteristic
43C23×Dic61C2×C411yescharacteristic
44C23×Dic61C2×C412yes—
45C22×C4×D61—22no—
46C22×C4×D61—22no—
47C22×C4×D61—22no—
48C22×C4×D61—22no—
49C22×C4×D61C2×C412yes—
50C22×C4×D61D411yescharacteristic
51C22×C4×D61D411yescharacteristic
52C22×C4×D61D412yes—
53C22×C4×D61D411yescharacteristic
54C22×C4×D61D412yes—
55C22×C4×D61D411yescharacteristic
56C22×C4×D61C2312yes—
57C2×#11758194—22no—
58C2×#11758194—21no—
59C2×#11758194—21no—
60C2×#11758194—22no—
61C2×#11758194—22no—
62C2×#11758194D414yes—
63C2×#11758194C2312yes—
64C2×#11758194C2312yes—
65C2×#11758189—28no—
66C2×#11758189—24no—
67M16×D61—216no—
68M16×D61—28no—
69M16×D61—28no—
70C22×#92418—21no—
71C22×#92418—21no—
72C2×C8×D61—28no—
73C2×C8×D61—24no—
74#14519753—24no—
75#14519753—24no—
76#14519753—24no—
77#14519753—24no—
78#14519753—24no—
79#14519753—24no—
80#14519753—24no—
81#14519753—24no—
82C2×C4⋊Dic61—21no—
83C2×C4⋊Dic61—21no—
84C2×C4⋊Dic61—21no—
85C2×C4⋊Dic61—21no—
86C2×C4⋊Dic61C2×C412yes—
87C2×C4⋊Dic61C2312yes—
88C2×#11758196—24no—
89C2×#11758196—22no—
90C2×#11758196—22no—
91C2×#11758196C2×C418yes—
92C2×#11758198—22no—
93C2×#11758198—24no—
94C2×#11758198—22no—
95C2×#11758198C2×C418yes—
96#14519696—28no—
97#14519689—24no—
98#14519689—24no—
99C22×Q8×C61—22no—
100C22×Q8×C61—21no—
101C22×Q8×C61—21no—
102C22×Q8×C61—21no—
103C22×Q8×C61—21no—
104C22×Q8×C61—22no—
105C22×Q8×C61—22no—
106C22×Q8×C61—22no—
107C22×Q8×C61C2×C412yes—
108C22×Q8×C61C2312yes—
109C23×C4×C61C2×C412yes—
110C23×C4×C61C2311yescharacteristic
111C2×M16×C61—22no—
112C2×M16×C61—21no—
113C2×M16×C61—21no—
114C2×M16×C61—22no—
115C2×M16×C61—22no—
116C2×M16×C61D414yes—
117C2×M16×C61C2312yes—
118C2×M16×C61C2312yes—
119C22×C8×C61—21no—
120C22×C8×C61—21no—
121#101×C61—28no—
122C24×C61C22×C411yescharacteristic
123C23×D61—22no—
124C23×D61—22no—
125C23×D61—24no—
126C23×D61—42no—
127C23×D61C22⋊C411yescharacteristic
128C23×D61C22⋊C412yes—
129C23×D61C22⋊C411yescharacteristic
130C23×D61C22×C412yes—
131C2×Q8×C61—22no—
132C2×Q8×C61—22no—
133C2×Q8×C61—24no—
134C2×Q8×C61—24no—
135C2×Q8×C61—22no—
136C2×Q8×C61—22no—
137C2×Q8×C61—22no—
138C2×Q8×C61—22no—
139C2×Q8×C61—22no—
140C2×Q8×C61—22no—
141C2×Q8×C61—42no—
142C2×Q8×C61—42no—
143C2×Q8×C61—42no—
144C2×Q8×C61—42no—
145C2×Q8×C61—42no—
146C2×Q8×C61—42no—
147C2×Q8×C61—42no—
148C2×Q8×C61—42no—
149C22×C4×C61—22no—
150C22×C4×C61—22no—
151C22×C4×C61—24no—
152C22×C4×C61—24no—
153C22×C4×C61C22×C414yes—
154C22×C4×C61C22×C411yescharacteristic
155C22×C4×C61C2×D411yescharacteristic
156C22×C4×C61C2×D411yescharacteristic
157C22×C4×C61C2×D411yescharacteristic
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2×D412yes—
160C22×C4×C61C2×D412yes—
161C22×C4×C61#4112yes—
162C22×C4×C61#4112yes—
163C22×C4×C61C2411yescharacteristic
164C22×Dic61—22no—
165C22×Dic61—22no—
166C22×Dic61—22no—
167C22×Dic61—22no—
168C22×Dic61—44no—
169C22×Dic61C22⋊C412yes—
170C22×Dic61C22⋊C411yescharacteristic
171C22×Dic61C22⋊C411yescharacteristic
172C22×Dic61C22×C412yes—
173C22×Dic61C22×C414yes—
174C2×C4×D61—24no—
175C2×C4×D61—24no—
176C2×C4×D61—22no—
177C2×C4×D61—24no—
178C2×C4×D61—22no—
179C2×C4×D61—22no—
180C2×C4×D61—22no—
181C2×C4×D61—24no—
182C2×C4×D61—22no—
183C2×C4×D61—22no—
184C2×C4×D61—24no—
185C2×C4×D61—22no—
186C2×C4×D61—24no—
187C2×C4×D61—22no—
188C2×C4×D61—22no—
189C2×C4×D61—22no—
190C2×C4×D61—22no—
191C2×C4×D61—22no—
192C2×C4×D61C22⋊C412yes—
193C2×C4×D61C22⋊C412yes—
194C2×C4×D61C22⋊C412yes—
195C2×C4×D61C22⋊C412yes—
196C2×C4×D61C2×D412yes—
197C2×C4×D61C2×D412yes—
198C2×C4×D61C2×D412yes—
199C2×C4×D61C2×D412yes—
200M16×C61—24no—
201M16×C61—22no—
202M16×C61—22no—
203M16×C61—22no—
204M16×C61—42no—
205M16×C61C2×D414yes—
206C2×C8×C61—24no—
207C2×C8×C61—22no—
208C2×C8×C61—22no—
209C2×C8×C61—42no—
210#11758198—28no—
211#11758198—28no—
212C4⋊Dic61—22no—
213C4⋊Dic61—22no—
214C4⋊Dic61—22no—
215C4⋊Dic61—22no—
216#11758196—28no—
217#11758196—28no—
218#11758194—24no—
219#11758194—22no—
220#11758194—22no—
221#11758194—22no—
222#11758194—42no—
223#11758194C2×D414yes—
224C2×#92418—24no—
225C2×#92418—22no—
226C2×#92418—22no—
227C2×#92418—42no—
228#11758189—216no—
229C8×D61—216no—
230C23×C61—22no—
231C23×C61—22no—
232C23×C61C2×C22⋊C411yescharacteristic
233C23×C61C2×C22⋊C411yescharacteristic
234C23×C61C4×D412yes—
235C23×C61C4×D412yes—
236C23×C61C23×C411yescharacteristic
237C22×D61—22no—
238C22×D61—22no—
239C22×D61—22no—
240C22×D61—22no—
241C22×D61—24no—
242C22×D61—22no—
243C22×D61—22no—
244C22×D61—22no—
245C22×D61—24no—
246C22×D61—24no—
247C22×D61—42no—
248C22×D61—42no—
249C22×D61—48no—
250C22×D61—48no—
251C22×D61#10114yescomplemented
252C22×D61C2×C22⋊C412yes—
253C22×D61C2×C22⋊C412yes—
254Q8×C61—42no—
255Q8×C61—42no—
256Q8×C61—42no—
257Q8×C61—42no—
258Q8×C61—44no—
259Q8×C61—44no—
260C2×C4×C61—24no—
261C2×C4×C61—24no—
262C2×C4×C61—24no—
263C2×C4×C61—44no—
264C2×C4×C61—44no—
265C2×C4×C61C2×C22⋊C411yescharacteristic
266C2×C4×C61C2×C22⋊C411yescharacteristic
267C2×C4×C61C4×D412yes—
268C2×C4×C61C4×D412yes—
269C2×C4×C61#12012yes—
270C2×C4×C61#12012yes—
271C2×C4×C61#12112yes—
272C2×C4×C61#12112yes—
273C2×C4×C61#12112yes—
274C2×C4×C61#12112yes—
275C2×C4×C61#12312yes—
276C2×C4×C61#12312yes—
277C2×C4×C61C22×D411yescharacteristic
278C2×C4×C61C22×D411yescharacteristic
279C2×C4×C61C22×D411yescharacteristic
280C2×C4×C61C22×D411yescharacteristic
281C2×C4×C61C2×#4111yescharacteristic
282C2×C4×C61C2×#4111yescharacteristic
283C2×Dic61—22no—
284C2×Dic61—22no—
285C2×Dic61—24no—
286C2×Dic61—22no—
287C2×Dic61—22no—
288C2×Dic61—24no—
289C2×Dic61—44no—
290C2×Dic61—44no—
291C2×Dic61—44no—
292C2×Dic61C2×C22⋊C412yes—
293C2×Dic61C2×C22⋊C412yes—
294C4×D61—22no—
295C4×D61—22no—
296C4×D61—22no—
297C4×D61—22no—
298C4×D61—22no—
299C4×D61—22no—
300C4×D61—22no—
301C4×D61—22no—
302C4×D61—24no—
303C4×D61—24no—
304C4×D61—24no—
305C4×D61—24no—
306C8×C61—24no—
307C8×C61—42no—
308#92418—24no—
309#92418—42no—
310C2×#1901—611nomaximal, Sylow
311C22×C61—21no—
312C22×C61—21no—
313C22×C61—21no—
314C22×C61—21no—
315C22×C61—24no—
316C22×C61—24no—
317C22×C61#38612yes—
318C22×C61#38612yes—
319C22×C61C2×#10112yes—
320C22×C61#41312yes—
321C22×C61C22×C22⋊C411yescharacteristic
322C22×C61C2×C4×D411yescharacteristic
323C22×C61C2×C4×D411yescharacteristic
324C2×D61—22no—
325C2×D61—28no—
326C2×D61—22no—
327C2×D61—22no—
328C2×D61—22no—
329C2×D61—22no—
330C2×D61—44no—
331C2×D61—44no—
332C2×D61—48no—
333C2×D61—44no—
334C2×D61C2×#10114yescomplemented
335C4×C61—44no—
336C4×C61#38612yes—
337C4×C61#38612yes—
338C4×C61C2×#12011yescharacteristic
339C4×C61C2×#12111yescharacteristic
340C4×C61C2×#12111yescharacteristic
341C4×C61C2×#12311yescharacteristic
342Dic61—22no—
343Dic61—22no—
344Dic61—44no—
345C23×M16—611no—
346C22×C22⋊Q8—611no—
347C22×#101—611no—
348C22×#101D6111yescharacteristic, complemented
349C2×#407—611no—
350#1901—618no—
351C2×#343—611no—
352C2×#343—611no—
353C2×C61—21no—
354C2×C61—21no—
355C2×C61—22no—
356C2×C61#190114yescomplemented
357C2×C61C2×#38611yescharacteristic
358C2×C61C22×#10111yescharacteristic
359C2×C61C2×#41311yescharacteristic
360D61—24no—
361D61—42no—
362C23×Q8C2×D6111yescharacteristic
363C24×C4—611no—
364C22×M16—611no—
365C22×M16—611no—
366C22×M16—614no—
367C22×M16—1221no—
368C22×M16—1224no—
369C22×M16—1222no—
370C22×M16—1224no—
371C22×M16C2×D6111yescharacteristic
372C22×M16C2×D6111yescharacteristic
373C23×C8—1221no—
374C2×C22⋊Q8—614no—
375C2×C22⋊Q8—614no—
376C2×C22⋊Q8—1221no—
377C2×C22⋊Q8—1222no—
378C2×C22⋊Q8—1221no—
379C2×C22⋊Q8—1221no—
380C2×C22⋊Q8—1221no—
381C2×C22⋊Q8—1222no—
382C22×C4⋊C4—612no—
383C22×C4⋊C4—611no—
384C22×C22⋊C4—612no—
385C2×#101—24no—
386C2×#101—614no—
387C2×#101—1224no—
388C2×#101C2×D6114yescomplemented
389#407—614no—
390#407—1222no—
391C2×C22⋊C8—1221no—
392C2×C22⋊C8—1221no—
393#343—614no—
394#343—614no—
395C61C2×#190111yescharacteristic, complemented, Sylow
396C25—611no—
397C22×Q8—22no—
398C22×Q8—21no—
399C22×Q8—21no—
400C22×Q8—21no—
401C22×Q8—21no—
402C22×Q8—22no—
403C22×Q8—22no—
404C22×Q8—22no—
405C22×Q8C4×D6112yes—
406C22×Q8C22×D6112yes—
407C23×C4—611no—
408C23×C4—612no—
409C23×C4—611no—
410C23×C4—612no—
411C23×C4—611no—
412C23×C4—611no—
413C23×C4—611no—
414C23×C4—612no—
415C23×C4—612no—
416C23×C4—612no—
417C23×C4—1222no—
418C23×C4—1222no—
419C23×C4—1222no—
420C23×C4—1222no—
421C23×C4C4×D6112yes—
422C23×C4C22×D6111yescharacteristic
423C2×M16—21no—
424C2×M16—22no—
425C2×M16—21no—
426C2×M16—22no—
427C2×M16—22no—
428C2×M16—614no—
429C2×M16—612no—
430C2×M16—612no—
431C2×M16—1224no—
432C2×M16—1228no—
433C2×M16—1228no—
434C2×M16—12216no—
435C2×M16—1221no—
436C2×M16—1222no—
437C2×M16—1228no—
438C2×M16—1221no—
439C2×M16—1222no—
440C2×M16—1222no—
441C2×M16C22⋊D6114yes—
442C2×M16C22×D6112yes—
443C2×M16C22×D6112yes—
444C22×C8—21no—
445C22×C8—21no—
446C22×C8—1224no—
447C22×C8—1228no—
448C22×C8—1221no—
449C22×C8—1221no—
450C22⋊Q8—1224no—
451C22⋊Q8—1224no—
452C22⋊Q8—1224no—
453C22⋊Q8—1224no—
454C22⋊Q8—1224no—
455C22⋊Q8—1224no—
456C22⋊Q8—1224no—
457C22⋊Q8—1224no—
458C2×C4⋊C4—618no—
459C2×C4⋊C4—612no—
460C2×C4⋊C4—612no—
461C2×C4⋊C4—1224no—
462C2×C4⋊C4—1222no—
463C2×C4⋊C4—1222no—
464C2×C4⋊C4—1221no—
465C2×C4⋊C4—1221no—
466C2×C4⋊C4—1221no—
467C2×C4⋊C4—1221no—
468C2×C22⋊C4—618no—
469C2×C22⋊C4—1224no—
470C2×C22⋊C4—1222no—
471C2×C22⋊C4—1222no—
472#101—28no—
473#101—1228no—
474C22⋊C8—1224no—
475C22⋊C8—1224no—
476C24—611no—
477C24—611no—
478C24—612no—
479C24—612no—
480C24—1224no—
481C24—1222no—
482C24—1222no—
483C24—2442no—
484C24C2×C4×D6111yescharacteristic
485C2×Q8—22no—
486C2×Q8—22no—
487C2×Q8—22no—
488C2×Q8—22no—
489C2×Q8—22no—
490C2×Q8—22no—
491C2×Q8—22no—
492C2×Q8—22no—
493C2×Q8—24no—
494C2×Q8—24no—
495C2×Q8—42no—
496C2×Q8—42no—
497C2×Q8—42no—
498C2×Q8—42no—
499C2×Q8—42no—
500C2×Q8—42no—
501C2×Q8—42no—
502C2×Q8—42no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—612no—
508C22×C4—612no—
509C22×C4—611no—
510C22×C4—611no—
511C22×C4—612no—
512C22×C4—612no—
513C22×C4—612no—
514C22×C4—612no—
515C22×C4—612no—
516C22×C4—612no—
517C22×C4—612no—
518C22×C4—612no—
519C22×C4—614no—
520C22×C4—1222no—
521C22×C4—1222no—
522C22×C4—1222no—
523C22×C4—1222no—
524C22×C4—1222no—
525C22×C4—1222no—
526C22×C4—1224no—
527C22×C4—1224no—
528C22×C4—1222no—
529C22×C4—1224no—
530C22×C4—1222no—
531C22×C4—1222no—
532C22×C4—1222no—
533C22×C4—1224no—
534C22×C4—1222no—
535C22×C4—1222no—
536C22×C4—1224no—
537C22×C4—1222no—
538C22×C4—1224no—
539C22×C4—1222no—
540C22×C4—1222no—
541C22×C4—1222no—
542C22×C4—2444no—
543C22×C4C2×C4×D6114yes—
544C22×C4C2×C4×D6111yescharacteristic
545C22×C4#1175822212yes—
546C22×C4D4×D6111yescharacteristic
547C22×C4D4×D6111yescharacteristic
548C22×C4D4×D6111yescharacteristic
549C22×C4D4×D6111yescharacteristic
550C22×C4D4×D6112yes—
551C22×C4#1175822412yes—
552C22×C4C2×C22⋊D6112yes—
553C22×C4C23×D6111yescharacteristic
554M16—22no—
555M16—24no—
556M16—22no—
557M16—22no—
558M16—42no—
559M16—614no—
560M16—12216no—
561M16—1222no—
562M16—1224no—
563M16—1222no—
564M16—1222no—
565M16—2442no—
566M16C2×C22⋊D6114yes—
567C2×C8—22no—
568C2×C8—24no—
569C2×C8—22no—
570C2×C8—42no—
571C2×C8—12216no—
572C2×C8—1222no—
573C2×C8—1224no—
574C2×C8—1222no—
575C2×C8—2442no—
576C4⋊C4—1228no—
577C4⋊C4—1228no—
578C4⋊C4—1222no—
579C4⋊C4—1222no—
580C4⋊C4—1222no—
581C4⋊C4—1222no—
582C22⋊C4—1228no—
583C22⋊C4—1228no—
584C23—22no—
585C23—22no—
586C23—612no—
587C23—614no—
588C23—612no—
589C23—1224no—
590C23—1224no—
591C23—1222no—
592C23—1222no—
593C23—1222no—
594C23—1222no—
595C23—1222no—
596C23—1222no—
597C23—1224no—
598C23—1222no—
599C23—2442no—
600C23—2442no—
601C23—2448no—
602C23—2448no—
603C23C22⋊C4×D6111yescharacteristic
604C23C22⋊C4×D6111yescharacteristic
605C23#1451973712yes—
606C23C4×C22⋊D6112yes—
607C23C22×C4×D6111yescharacteristic
608Q8—42no—
609Q8—42no—
610Q8—42no—
611Q8—42no—
612Q8—44no—
613Q8—44no—
614C2×C4—24no—
615C2×C4—24no—
616C2×C4—24no—
617C2×C4—44no—
618C2×C4—44no—
619C2×C4—612no—
620C2×C4—612no—
621C2×C4—1222no—
622C2×C4—1222no—
623C2×C4—1224no—
624C2×C4—1222no—
625C2×C4—1222no—
626C2×C4—1222no—
627C2×C4—1222no—
628C2×C4—1222no—
629C2×C4—1222no—
630C2×C4—1222no—
631C2×C4—1222no—
632C2×C4—1222no—
633C2×C4—1222no—
634C2×C4—1224no—
635C2×C4—1224no—
636C2×C4—1224no—
637C2×C4—1224no—
638C2×C4—1224no—
639C2×C4—2444no—
640C2×C4—2444no—
641C2×C4—2444no—
642C2×C4C22⋊C4×D6111yescharacteristic
643C2×C4C22⋊C4×D6111yescharacteristic
644C2×C4#1451973712yes—
645C2×C4C4×C22⋊D6112yes—
646C2×C4#1451974512yes—
647C2×C4#1451974512yes—
648C2×C4#1451974812yes—
649C2×C4#1451974812yes—
650C2×C4#1451975012yes—
651C2×C4#1451975012yes—
652C2×C4#1451975912yes—
653C2×C4#1451975912yes—
654C2×C4C2×D4×D6111yescharacteristic
655C2×C4C2×D4×D6111yescharacteristic
656C2×C4C2×D4×D6111yescharacteristic
657C2×C4C22×C22⋊D6111yescharacteristic
658C2×C4C2×#1175822411yescharacteristic
659C2×C4C2×#1175822211yescharacteristic
660C8—24no—
661C8—42no—
662C8—1224no—
663C8—2442no—
664C22—24no—
665C22—24no—
666C22—21no—
667C22—21no—
668C22—21no—
669C22—21no—
670C22—614no—
671C22—1222no—
672C22—1228no—
673C22—1222no—
674C22—1222no—
675C22—1222no—
676C22—1222no—
677C22—2444no—
678C22—2444no—
679C22—2448no—
680C22—2444no—
681C22#1683963812yes—
682C22#1683963812yes—
683C22#101×D6112yes—
684C22#1683974512yes—
685C22C2×C22⋊C4×D6111yescharacteristic
686C22C2×#1451973711yescharacteristic
687C22C2×C4×C22⋊D6111yescharacteristic
688C4—44no—
689C4—1222no—
690C4—1222no—
691C4—2444no—
692C4#1683963812yes—
693C4#1683963812yes—
694C4C2×#1451974511yescharacteristic
695C4C2×#1451974811yescharacteristic
696C4C2×#1451975011yescharacteristic
697C4C2×#1451975911yescharacteristic
698C2—21no—
699C2—21no—
700C2—22no—
701C2—1224no—
702C2—2442no—
703C2#2144628414yesdirect product factor
704C2C2×#1683963811yescharacteristic
705C2C2×#101×D6111yescharacteristic
706C2C2×#1683974511yescharacteristic
subgroupG/H
centerC23C22⋊C4×D61
commutatorC23×C61C23×C4
FrattiniC22×C4C23×D61
FittingC22×#101×C61C2
socleC23×C61C2×C22⋊C4
prime radicalC24×D61C2×C4
cosocleC22×C4×C61C24
hypercenterC22×#101D61
hypocenterC61C2×#1901
LCSG ▷ C23×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ C22×#101

Complements

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

NH ≅ G/Ntype
3. C22×#14519696C2semidirect
5. #21446284C2direct (N × H)
6. C2×#16839530C2semidirect
7. C2×#16839530C2semidirect
8. C22×#101×C61C2semidirect
30. C2×#14519696C22semidirect
35. #16839530C22semidirect
36. #16839530C22semidirect
41. C2×#101×C61C22semidirect
251. C22×D61#101semidirect
334. C2×D61C2×#101semidirect
348. C22×#101D61semidirect
356. C2×C61#1901semidirect
388. C2×#101C2×D61semidirect
395. C61C2×#1901semidirect
703. C2#21446284direct (N × H)

Maximal subgroups

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

subgroupindex
C22×M16×D612
C22×#145197532
C22×#145196962
C2×#168397252
#214462842
C2×#168395302
C22×#101×C612
C2×#190161