Finite Group Databasebeta

← C2×#21445917 #29679839

Subgroups — C2×#21445917 #29679839

Order 15616.

1606 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#117×D61C211yesmaximal, characteristic
2C2×#16839725C211yesmaximal, characteristic
3C2×C4×#11758198C211yesmaximal, characteristic
4#21445917C218yesmaximal, direct product factor
5C2×#16839523C211yesmaximal, characteristic, complemented
6C2×#16839522C211yesmaximal, characteristic, complemented
7C2×#16839521C211yesmaximal, characteristic, complemented
8C2×C61×#339C211yesmaximal, characteristic, complemented
9C23×C4×D61C2211yescharacteristic
10C22×#11758194C2211yescharacteristic
11C2×#14519736C2211yescharacteristic
12C2×#14519735C411yescharacteristic, complemented
13C2×#14519735C411yescharacteristic, complemented
14C2×#14519734—21no—
15C2×#14519733—21no—
16#117×D61—22no—
17#117×D61—22no—
18#117×D61C414yescomplemented
19#117×D61C2214yes—
20C2×C4⋊C4×D61C411yescharacteristic, complemented
21C2×C4⋊C4×D61C411yescharacteristic, complemented
22C22×#11758198—21no—
23C2×C22⋊C4×D61—21no—
24C22×C4×Dic61C2211yescharacteristic
25C2×C42×D61—21no—
26#16839725—22no—
27#16839725C2214yes—
28C2×#14519689—21no—
29C2×#14519689—21no—
30C4×#11758198—22no—
31C4×#11758198C2214yes—
32C2×#14519684—21no—
33#16839523C2214yescomplemented
34#16839522C2214yescomplemented
35#16839521C2214yescomplemented
36C22×M16×C61C2211yescharacteristic
37C2×#117×C61C2211yescharacteristic
38C22×C42×C61C2211yescharacteristic
39C61×#339C2214yescomplemented
40C24×D61D411yescharacteristic
41C23×Dic61—21no—
42C23×Dic61D411yescharacteristic
43C22×C4×D61—22no—
44C22×C4×D61—22no—
45C22×C4×D61—22no—
46C22×C4×D61—22no—
47C22×C4×D61—21no—
48C22×C4×D61—21no—
49C22×C4×D61C2×C411yescharacteristic
50C22×C4×D61C2×C412yes—
51C22×C4×D61C2×C411yescharacteristic
52C22×C4×D61D412yes—
53C22×C4×D61D411yescharacteristic
54C22×C4×D61D412yes—
55C22×C4×D61D411yescharacteristic
56C22×C4×D61C2312yes—
57C2×#11758194—21no—
58C2×#11758194—22no—
59C2×#11758194—22no—
60C2×#11758194C2312yes—
61C22×#92418—21no—
62#14519736—21no—
63#14519736—21no—
64#14519736C2×C412yes—
65#14519736C2312yes—
66#14519735—22no—
67#14519735—22no—
68#14519735C2×C414yescomplemented
69#14519735C2×C414yescomplemented
70#14519734—24no—
71#14519734—24no—
72#14519733—24no—
73#14519733—24no—
74C2×C4⋊Dic61C2×C411yescharacteristic
75C2×C4⋊Dic61C2×C411yescharacteristic
76C2×#11758196—21no—
77C2×#11758196—21no—
78C4⋊C4×D61—22no—
79C4⋊C4×D61—22no—
80C4⋊C4×D61C2×C414yescomplemented
81C4⋊C4×D61C2×C414yescomplemented
82C2×C22⋊Dic61—21no—
83C2×#11758198—28no—
84C2×#11758198—21no—
85C2×#11758198—21no—
86C2×#11758198—24no—
87C22⋊C4×D61—24no—
88C22⋊C4×D61—24no—
89C2×C4×Dic61—21no—
90C2×C4×Dic61—21no—
91C2×C4×Dic61—21no—
92C2×C4×Dic61—22no—
93C2×C4×Dic61—22no—
94C2×C4×Dic61—21no—
95C2×C4×Dic61C2312yes—
96C42×D61—24no—
97C42×D61—24no—
98#14519689—24no—
99#14519689—24no—
100#14519684—24no—
101C23×C4×C61—21no—
102C23×C4×C61C2311yescharacteristic
103C2×M16×C61—21no—
104C2×M16×C61—22no—
105C2×M16×C61—22no—
106C2×M16×C61C2312yes—
107C22×C8×C61—21no—
108#117×C61—21no—
109#117×C61—21no—
110#117×C61C2×C412yes—
111#117×C61C2312yes—
112C2×C4⋊C4×C61C2×C411yescharacteristic
113C2×C4⋊C4×C61C2×C411yescharacteristic
114C2×C22⋊C4×C61—21no—
115C2×C42×C61—21no—
116C2×C42×C61—22no—
117C2×C42×C61—22no—
118C2×C42×C61—21no—
119C2×C42×C61C2312yes—
120C24×C61C2×D411yescharacteristic
121C23×D61—22no—
122C23×D61—22no—
123C23×D61—24no—
124C23×D61—42no—
125C23×D61C22⋊C411yescharacteristic
126C23×D61C22⋊C412yes—
127C23×D61C22⋊C411yescharacteristic
128C23×D61C2×D412yes—
129C22×C4×C61—24no—
130C22×C4×C61—21no—
131C22×C4×C61—21no—
132C22×C4×C61—22no—
133C22×C4×C61—42no—
134C22×C4×C61—42no—
135C22×C4×C61C22×C411yescharacteristic
136C22×C4×C61C22×C411yescharacteristic
137C22×C4×C61C2×D411yescharacteristic
138C22×C4×C61C2×D411yescharacteristic
139C22×C4×C61C2×D411yescharacteristic
140C22×C4×C61#4112yes—
141C22×C4×C61#4112yes—
142C22×C4×C61#4112yes—
143C22×C4×C61#4112yes—
144C22×C4×C61C2411yescharacteristic
145C22×Dic61—22no—
146C22×Dic61—22no—
147C22×Dic61—24no—
148C22×Dic61—21no—
149C22×Dic61—21no—
150C22×Dic61—22no—
151C22×Dic61—42no—
152C22×Dic61—42no—
153C22×Dic61C22⋊C411yescharacteristic
154C22×Dic61C22⋊C411yescharacteristic
155C22×Dic61C22⋊C412yes—
156C22×Dic61C2×D412yes—
157C2×C4×D61—22no—
158C2×C4×D61—24no—
159C2×C4×D61—22no—
160C2×C4×D61—22no—
161C2×C4×D61—24no—
162C2×C4×D61—22no—
163C2×C4×D61—22no—
164C2×C4×D61—22no—
165C2×C4×D61—24no—
166C2×C4×D61—22no—
167C2×C4×D61—22no—
168C2×C4×D61—24no—
169C2×C4×D61—24no—
170C2×C4×D61—24no—
171C2×C4×D61—22no—
172C2×C4×D61—22no—
173C2×C4×D61—22no—
174C2×C4×D61—22no—
175C2×C4×D61—24no—
176C2×C4×D61—24no—
177C2×C4×D61—44no—
178C2×C4×D61—44no—
179C2×C4×D61C22⋊C412yes—
180C2×C4×D61C22⋊C412yes—
181C2×C4×D61C22⋊C412yes—
182C2×C4×D61C22⋊C412yes—
183C2×C4×D61C22×C412yes—
184C2×C4×D61C22×C412yes—
185C2×C4×D61C2×D412yes—
186C2×C4×D61C2×D412yes—
187M16×C61—22no—
188M16×C61—22no—
189M16×C61—42no—
190C2×C8×C61—22no—
191C2×C8×C61—42no—
192C4⋊C4×C61—21no—
193C4⋊C4×C61—21no—
194C4⋊C4×C61C22×C412yes—
195C4⋊C4×C61C22×C412yes—
196C22⋊C4×C61—22no—
197C22⋊C4×C61—22no—
198C42×C61—22no—
199C42×C61—22no—
200C42×C61—22no—
201C42×C61—22no—
202C42×C61—42no—
203C22⋊Dic61—22no—
204C22⋊Dic61—22no—
205#11758198—216no—
206#11758198—24no—
207#11758198—24no—
208C4⋊Dic61—21no—
209C4⋊Dic61—21no—
210C4⋊Dic61C22×C412yes—
211C4⋊Dic61C22×C412yes—
212#11758196—24no—
213#11758196—24no—
214C4×Dic61—22no—
215C4×Dic61—22no—
216C4×Dic61—24no—
217C4×Dic61—24no—
218C4×Dic61—22no—
219C4×Dic61—22no—
220C4×Dic61—42no—
221#11758194—22no—
222#11758194—22no—
223#11758194—42no—
224C2×#92418—22no—
225C2×#92418—42no—
226C23×C61—22no—
227C23×C61—22no—
228C23×C61C2×C22⋊C411yescharacteristic
229C23×C61C2×C22⋊C411yescharacteristic
230C23×C61#12312yes—
231C23×C61#12312yes—
232C23×C61C22×D411yescharacteristic
233C22×D61—22no—
234C22×D61—22no—
235C22×D61—22no—
236C22×D61—22no—
237C22×D61—24no—
238C22×D61—22no—
239C22×D61—22no—
240C22×D61—22no—
241C22×D61—24no—
242C22×D61—24no—
243C22×D61—42no—
244C22×D61—42no—
245C22×D61—48no—
246C22×D61—48no—
247C22×D61#10414yes—
248C22×D61C2×C22⋊C412yes—
249C22×D61C2×C22⋊C412yes—
250C2×C4×C61—24no—
251C2×C4×C61—22no—
252C2×C4×C61—22no—
253C2×C4×C61—48no—
254C2×C4×C61—42no—
255C2×C4×C61—42no—
256C2×C4×C61—42no—
257C2×C4×C61—42no—
258C2×C4×C61C2×C22⋊C411yescharacteristic
259C2×C4×C61C2×C22⋊C411yescharacteristic
260C2×C4×C61#11712yes—
261C2×C4×C61#11712yes—
262C2×C4×C61#11712yes—
263C2×C4×C61#11712yes—
264C2×C4×C61#12312yes—
265C2×C4×C61#12312yes—
266C2×C4×C61#12312yes—
267C2×C4×C61#12312yes—
268C2×C4×C61#12312yes—
269C2×C4×C61#12312yes—
270C2×C4×C61C23×C411yescharacteristic
271C2×C4×C61C22×D411yescharacteristic
272C2×C4×C61C2×#4111yescharacteristic
273C2×C4×C61C2×#4111yescharacteristic
274C2×C4×C61C2×#4111yescharacteristic
275C2×C4×C61C2×#4111yescharacteristic
276C2×Dic61—22no—
277C2×Dic61—22no—
278C2×Dic61—24no—
279C2×Dic61—22no—
280C2×Dic61—22no—
281C2×Dic61—24no—
282C2×Dic61—22no—
283C2×Dic61—22no—
284C2×Dic61—48no—
285C2×Dic61—42no—
286C2×Dic61—42no—
287C2×Dic61—42no—
288C2×Dic61—42no—
289C2×Dic61C2×C22⋊C412yes—
290C2×Dic61C2×C22⋊C412yes—
291C4×D61—22no—
292C4×D61—22no—
293C4×D61—22no—
294C4×D61—22no—
295C4×D61—22no—
296C4×D61—22no—
297C4×D61—22no—
298C4×D61—22no—
299C4×D61—24no—
300C4×D61—24no—
301C4×D61—24no—
302C4×D61—24no—
303C4×D61—48no—
304C4×D61—48no—
305C8×C61—42no—
306#92418—42no—
307C2×#1826—611nomaximal, Sylow
308C22×C61—24no—
309C22×C61—24no—
310C22×C61—21no—
311C22×C61—21no—
312C22×C61—21no—
313C22×C61—21no—
314C22×C61#38112yes—
315C22×C61#38112yes—
316C22×C61C2×#10412yes—
317C22×C61#42112yes—
318C22×C61C22×C22⋊C411yescharacteristic
319C22×C61C2×#12311yescharacteristic
320C22×C61C2×#12311yescharacteristic
321C2×D61—28no—
322C2×D61—22no—
323C2×D61—22no—
324C2×D61—22no—
325C2×D61—22no—
326C2×D61—22no—
327C2×D61—44no—
328C2×D61—44no—
329C2×D61—48no—
330C2×D61—44no—
331C2×D61C2×#10414yes—
332C4×C61—44no—
333C4×C61—42no—
334C4×C61—42no—
335C4×C61#38112yes—
336C4×C61#38112yes—
337C4×C61C2×#11711yescharacteristic
338C4×C61C2×#11711yescharacteristic
339C4×C61C2×#12311yescharacteristic
340C4×C61C2×#12311yescharacteristic
341Dic61—22no—
342Dic61—22no—
343Dic61—44no—
344Dic61—42no—
345Dic61—42no—
346C22×#117—611no—
347C2×#407—611no—
348C2×C4×C22⋊C4—611no—
349#1826—618no—
350C2×#339—611no—
351C2×#339—611no—
352C2×#339—611no—
353C2×#339D6111yescharacteristic, complemented
354C2×C61—21no—
355C2×C61—21no—
356C2×C61—22no—
357C2×C61#182614yescomplemented
358C2×C61C2×#38111yescharacteristic
359C2×C61C22×#10411yescharacteristic
360C2×C61C2×#42111yescharacteristic
361D61—24no—
362D61—42no—
363C24×C4—611no—
364C22×M16—611no—
365C22×M16C2×D6111yescharacteristic
366C2×#117—611no—
367C2×#117—614no—
368C2×#117—614no—
369C2×#117—611no—
370C2×#117—611no—
371C2×#117—1221no—
372C2×#117—1221no—
373C2×#117—1222no—
374C2×#117—1222no—
375C2×#117C2×D6111yescharacteristic
376C22×C4⋊C4—611no—
377C22×C4⋊C4—611no—
378C22×C22⋊C4—1221no—
379C22×C22⋊C4—1221no—
380C22×C42—611no—
381C22×C42—1221no—
382C22×C42C2×D6111yescharacteristic
383#407—614no—
384#407—1222no—
385C2×C22⋊C8—1221no—
386C2×C22⋊C8—1221no—
387C4×C22⋊C4—614no—
388C4×C22⋊C4—1222no—
389C2×#95—1221no—
390#339—614no—
391#339—614no—
392#339—614no—
393#339C2×D6114yescomplemented
394C61C2×#182611yescharacteristic, complemented, Sylow
395C25—611no—
396C23×C4—21no—
397C23×C4—611no—
398C23×C4—611no—
399C23×C4—611no—
400C23×C4—612no—
401C23×C4—612no—
402C23×C4—612no—
403C23×C4—611no—
404C23×C4—611no—
405C23×C4—612no—
406C23×C4—1221no—
407C23×C4—1221no—
408C23×C4—1222no—
409C23×C4—1222no—
410C23×C4—1222no—
411C23×C4—1222no—
412C23×C4—1221no—
413C23×C4C22×D6111yescharacteristic
414C2×M16—21no—
415C2×M16—22no—
416C2×M16—22no—
417C2×M16—612no—
418C2×M16—1221no—
419C2×M16—1222no—
420C2×M16—1222no—
421C2×M16C22×D6112yes—
422C22×C8—21no—
423C22×C8—1221no—
424#117—21no—
425#117—21no—
426#117—612no—
427#117—612no—
428#117—614no—
429#117—614no—
430#117—1224no—
431#117—1224no—
432#117—1224no—
433#117—1224no—
434#117—1222no—
435#117—1222no—
436#117—1221no—
437#117—1221no—
438#117C4×D6112yes—
439#117C22×D6112yes—
440C2×C4⋊C4—611no—
441C2×C4⋊C4—611no—
442C2×C4⋊C4—614no—
443C2×C4⋊C4—614no—
444C2×C4⋊C4—1222no—
445C2×C4⋊C4—1222no—
446C2×C4⋊C4—1221no—
447C2×C4⋊C4—1221no—
448C2×C4⋊C4C4×D6111yescharacteristic
449C2×C4⋊C4C4×D6111yescharacteristic
450C2×C22⋊C4—21no—
451C2×C22⋊C4—1224no—
452C2×C22⋊C4—1224no—
453C2×C22⋊C4—1221no—
454C2×C22⋊C4—1221no—
455C2×C22⋊C4—1224no—
456C2×C22⋊C4—1228no—
457C2×C22⋊C4—1221no—
458C2×C42—21no—
459C2×C42—22no—
460C2×C42—22no—
461C2×C42—21no—
462C2×C42—612no—
463C2×C42—1224no—
464C2×C42—1224no—
465C2×C42—1221no—
466C2×C42—1221no—
467C2×C42—1221no—
468C2×C42—1222no—
469C2×C42—1222no—
470C2×C42—1221no—
471C2×C42C22×D6112yes—
472C22⋊C8—1224no—
473C22⋊C8—1224no—
474#95—1224no—
475C24—611no—
476C24—611no—
477C24—612no—
478C24—612no—
479C24—1224no—
480C24—1222no—
481C24—1222no—
482C24—2442no—
483C24D4×D6111yescharacteristic
484C22×C4—24no—
485C22×C4—22no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—612no—
491C22×C4—611no—
492C22×C4—611no—
493C22×C4—612no—
494C22×C4—612no—
495C22×C4—612no—
496C22×C4—612no—
497C22×C4—612no—
498C22×C4—612no—
499C22×C4—612no—
500C22×C4—612no—
501C22×C4—612no—
502C22×C4—1224no—
503C22×C4—1224no—
504C22×C4—1222no—
505C22×C4—1222no—
506C22×C4—1222no—
507C22×C4—1222no—
508C22×C4—1222no—
509C22×C4—1222no—
510C22×C4—1222no—
511C22×C4—1224no—
512C22×C4—1222no—
513C22×C4—1222no—
514C22×C4—1224no—
515C22×C4—1222no—
516C22×C4—1224no—
517C22×C4—1222no—
518C22×C4—1222no—
519C22×C4—1224no—
520C22×C4—1224no—
521C22×C4—1222no—
522C22×C4—1222no—
523C22×C4—1224no—
524C22×C4—1224no—
525C22×C4—1222no—
526C22×C4—1221no—
527C22×C4—1221no—
528C22×C4—2444no—
529C22×C4—2444no—
530C22×C4—2442no—
531C22×C4—2442no—
532C22×C4C2×C4×D6111yescharacteristic
533C22×C4C2×C4×D6111yescharacteristic
534C22×C4#1175822212yes—
535C22×C4#1175822212yes—
536C22×C4D4×D6111yescharacteristic
537C22×C4D4×D6111yescharacteristic
538C22×C4D4×D6111yescharacteristic
539C22×C4#1175822412yes—
540C22×C4#1175822612yes—
541C22×C4C23×D6111yescharacteristic
542M16—22no—
543M16—22no—
544M16—42no—
545M16—1222no—
546M16—1222no—
547M16—2442no—
548C2×C8—22no—
549C2×C8—42no—
550C2×C8—1222no—
551C2×C8—2442no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—612no—
555C4⋊C4—612no—
556C4⋊C4—1224no—
557C4⋊C4—1224no—
558C4⋊C4—1221no—
559C4⋊C4—1221no—
560C4⋊C4C2×C4×D6112yes—
561C4⋊C4C2×C4×D6112yes—
562C22⋊C4—22no—
563C22⋊C4—22no—
564C22⋊C4—1224no—
565C22⋊C4—1224no—
566C22⋊C4—12216no—
567C22⋊C4—1222no—
568C22⋊C4—1222no—
569C42—22no—
570C42—22no—
571C42—22no—
572C42—22no—
573C42—42no—
574C42—1224no—
575C42—1224no—
576C42—1222no—
577C42—1222no—
578C42—1222no—
579C42—1222no—
580C42—2442no—
581C23—22no—
582C23—22no—
583C23—612no—
584C23—614no—
585C23—612no—
586C23—1224no—
587C23—1224no—
588C23—1222no—
589C23—1222no—
590C23—1222no—
591C23—1222no—
592C23—1222no—
593C23—1222no—
594C23—1224no—
595C23—1222no—
596C23—2442no—
597C23—2442no—
598C23—2448no—
599C23—2448no—
600C23C22⋊C4×D6111yescharacteristic
601C23C22⋊C4×D6111yescharacteristic
602C23#1451975912yes—
603C23#1451976212yes—
604C23C2×D4×D6111yescharacteristic
605C2×C4—24no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—42no—
609C2×C4—48no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—612no—
614C2×C4—612no—
615C2×C4—1222no—
616C2×C4—1222no—
617C2×C4—1224no—
618C2×C4—1222no—
619C2×C4—1222no—
620C2×C4—1222no—
621C2×C4—1222no—
622C2×C4—1222no—
623C2×C4—1222no—
624C2×C4—1222no—
625C2×C4—1222no—
626C2×C4—1222no—
627C2×C4—1222no—
628C2×C4—1224no—
629C2×C4—1224no—
630C2×C4—1224no—
631C2×C4—1224no—
632C2×C4—1224no—
633C2×C4—1222no—
634C2×C4—1222no—
635C2×C4—2448no—
636C2×C4—2448no—
637C2×C4—2442no—
638C2×C4—2448no—
639C2×C4—2442no—
640C2×C4—2442no—
641C2×C4—2442no—
642C2×C4C22⋊C4×D6111yescharacteristic
643C2×C4C22⋊C4×D6111yescharacteristic
644C2×C4#1451973412yes—
645C2×C4#1451973412yes—
646C2×C4#1451973512yes—
647C2×C4#1451973512yes—
648C2×C4#1451975912yes—
649C2×C4#1451975912yes—
650C2×C4#1451975912yes—
651C2×C4#1451976212yes—
652C2×C4#1451976212yes—
653C2×C4#1451976212yes—
654C2×C4C22×C4×D6111yescharacteristic
655C2×C4C2×D4×D6111yescharacteristic
656C2×C4C2×#1175822411yescharacteristic
657C2×C4C2×#1175822211yescharacteristic
658C2×C4C2×#1175822211yescharacteristic
659C2×C4C2×#1175822611yescharacteristic
660C8—42no—
661C8—2442no—
662C22—21no—
663C22—21no—
664C22—21no—
665C22—21no—
666C22—24no—
667C22—24no—
668C22—614no—
669C22—1222no—
670C22—1222no—
671C22—1228no—
672C22—1222no—
673C22—1222no—
674C22—1222no—
675C22—2444no—
676C22—2444no—
677C22—2448no—
678C22—2444no—
679C22#1683962412yes—
680C22#1683962412yes—
681C22#104×D6112yes—
682C22#1683977712yes—
683C22C2×C22⋊C4×D6111yescharacteristic
684C22C2×#1451975911yescharacteristic
685C22C2×#1451976211yescharacteristic
686C4—44no—
687C4—42no—
688C4—42no—
689C4—1222no—
690C4—1222no—
691C4—2444no—
692C4—2442no—
693C4—2442no—
694C4#1683962412yes—
695C4#1683962412yes—
696C4C2×#1451973411yescharacteristic
697C4C2×#1451973511yescharacteristic
698C4C2×#1451975911yescharacteristic
699C4C2×#1451976211yescharacteristic
700C2—21no—
701C2—21no—
702C2—22no—
703C2—1224no—
704C2—2442no—
705C2#2144591714yesdirect product factor
706C2C2×#1683962411yescharacteristic
707C2C2×#104×D6111yescharacteristic
708C2C2×#1683977711yescharacteristic
subgroupG/H
centerC22×C4D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC2×C61×#339C2
socleC23×C61C2×C22⋊C4
prime radicalC24×D61D4
cosocleC22×C4×C61C24
hypercenterC2×#339D61
hypocenterC61C2×#1826
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22×C4 ◁ C23×C4 ◁ C2×#339

Complements

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

NH ≅ G/Ntype
4. #21445917C2direct (N × H)
5. C2×#16839523C2semidirect
6. C2×#16839522C2semidirect
7. C2×#16839521C2semidirect
8. C2×C61×#339C2semidirect
12. C2×#14519735C4semidirect
13. C2×#14519735C4semidirect
18. #117×D61C4semidirect
20. C2×C4⋊C4×D61C4semidirect
21. C2×C4⋊C4×D61C4semidirect
33. #16839523C22semidirect
34. #16839522C22semidirect
35. #16839521C22semidirect
39. C61×#339C22semidirect
68. #14519735C2×C4semidirect
69. #14519735C2×C4semidirect
80. C4⋊C4×D61C2×C4semidirect
81. C4⋊C4×D61C2×C4semidirect
353. C2×#339D61semidirect
357. C2×C61#1826semidirect
393. #339C2×D61semidirect
394. C61C2×#1826semidirect
705. C2#21445917direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117×D612
C2×#168397252
C2×C4×#117581982
#214459172
C2×#168395232
C2×#168395222
C2×#168395212
C2×C61×#3392
C2×#182661