Finite Group Databasebeta

← C2×#21462441 #30625194

Subgroups — C2×#21462441 #30625194

Order 15616.

4882 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D61⋊#131C211yesmaximal, characteristic, complemented
2C2×#16840831C211yesmaximal, characteristic, complemented
3#21462441C2116yesmaximal, direct product factor
4C2×#16840753C213yesmaximal, complemented
5C2×#16840755C213yesmaximal, complemented
6C2×#16840752C213yesmaximal, complemented
7C22×#14519840C213yesmaximal, complemented
8C2×2−1+4×D61C211yesmaximal, characteristic
9C2×#14519865—21no—
10D61⋊#131—24no—
11D61⋊#131C2218yescomplemented
12C2×#14519864—23no—
13C2×D61⋊M16C2213yes—
14C22×D61⋊C8C2213yes—
15#16840831—24no—
16#16840831C2218yescomplemented
17C2×Q8×#6923—21no—
18C2×D4×#6923—23no—
19C2×#14519856C2213yes—
20C22×C4⋊#6923C2213yes—
21#16840755C22124yescomplemented
22#16840753C22124yescomplemented
23#16840752C22124yescomplemented
24C2×#14519840C2213yes—
25C2×#14519840C2216yes—
26C2×#14519840C2213yes—
27C2×#14519840C22124yescomplemented
28C2×#14519839C2211yescharacteristic
29C2×#14519839C2213yes—
30C2×#14519825—21no—
31C2×#14519825C413yescomplemented
32C2×#14519824—23no—
33C2×#14519824C411yescharacteristic, complemented
34C2×#14519824C413yescomplemented
352−1+4×D61—24no—
362−1+4×D61—24no—
372−1+4×D61C418yescomplemented
382−1+4×D61C2218yes—
39C2×#41×D61—23no—
40C2×#41×D61C2213yes—
41C2×#41×D61C2211yescharacteristic
42C22×Q8×D61—21no—
43C22×Q8×D61C2213yes—
44C2×2−1+4×C61C411yescharacteristic, complemented
45C23×#6923—23no—
46#14519865—28no—
47#14519864—224no—
48C2×#11758213—23no—
49D61⋊M16—26no—
50D61⋊M16C23112yes—
51C2×#11758217—23no—
52C2×D61⋊C8—23no—
53C2×D61⋊C8—26no—
54C2×D61⋊C8C2311yescharacteristic
55C2×D61⋊C8C2313yes—
56C2×D61⋊C8C23112yes—
57C22×#92420—23no—
58Q8×#6923—28no—
59D4×#6923—224no—
60#14519856—26no—
61#14519856C23112yes—
62C2×C4⋊#6923—23no—
63C2×C4⋊#6923—26no—
64C2×C4⋊#6923C2313yes—
65C2×C4⋊#6923C2311yescharacteristic
66C2×C4⋊#6923C23112yes—
67C2×C22⋊#6923—23no—
68C2×C4×#6923—23no—
69#14519840C23112yes—
70#14519840C23124yes—
71#14519840C23112yes—
72#14519839C2314yes—
73#14519839C23112yes—
74#14519825—28no—
75#14519825—28no—
76#14519825—212no—
77#14519825C2×C4124yescomplemented
78#14519824—24no—
79#14519824—224no—
80#14519824—224no—
81#14519824—212no—
82#14519824C2×C4124yescomplemented
83#14519824C2×C418yescomplemented
84C2×#11758226—23no—
85C2×#11758226C2×C413yescomplemented
86C2×#11758226D411yescharacteristic
87C2×#11758222—26no—
88C2×#11758222—23no—
89C2×#11758222—23no—
90C2×#11758222C2×C413yes—
91C2×#11758222C2×C413yescomplemented
92C2×#11758224—23no—
93C2×#11758224—26no—
94C2×#11758224—23no—
95C2×#11758224C2×C413yescomplemented
96C2×#11758224D413yes—
97#41×D61—224no—
98#41×D61—224no—
99#41×D61—26no—
100#41×D61—26no—
101#41×D61C2×C414yes—
102#41×D61C2×C4112yescomplemented
103#41×D61D414yes—
104#41×D61D414yes—
105#41×D61C23112yes—
106#41×D61C2314yes—
107C22×Dic122—23no—
108C22×Dic122—23no—
109C22×Dic122C2×C413yescomplemented
110C2×Q8×D61—21no—
111C2×Q8×D61—28no—
112C2×Q8×D61—28no—
113C2×Q8×D61—23no—
114C2×Q8×D61—26no—
115C2×Q8×D61—26no—
116C2×Q8×D61—23no—
117C2×Q8×D61—23no—
118C2×Q8×D61C2×C416yescomplemented
119C2×Q8×D61C2×C4112yescomplemented
120C2×Q8×D61D411yescharacteristic
121C2×Q8×D61C2313yes—
122C2×Q8×D61C23112yes—
123C2×D4×D61—23no—
124C2×D4×D61D413yes—
125C2×D4×D61C2311yescharacteristic
126C22×C4×D61—23no—
127C22×C4×D61—23no—
128C22×C4×D61C2313yes—
1292−1+4×C61—24no—
1302−1+4×C61C2×C418yescomplemented
131C2×#41×C61—23no—
132C2×#41×C61C2×C411yescharacteristic
133C2×#41×C61C2×C413yescomplemented
134C22×Q8×C61—21no—
135C22×Q8×C61C2×C413yescomplemented
136C23×D61—21no—
137C23×D61C2×D413yes—
138C22×#6923—21no—
139C22×#6923—23no—
140C22×#6923—212no—
141C22×#6923—86no—
142#41×C61—224no—
143#41×C61—26no—
144#41×C61C22⋊C414yes—
145#41×C61C22×C414yes—
146#41×C61C22×C4112yescomplemented
147C2×Q8×C61—28no—
148C2×Q8×C61—23no—
149C2×Q8×C61—26no—
150C2×Q8×C61C22⋊C411yescharacteristic
151C2×Q8×C61C22×C413yes—
152C2×Q8×C61C22×C4112yescomplemented
153C2×D4×C61—23no—
154C2×D4×C61C22⋊C413yes—
155C2×D4×C61C22×C411yescharacteristic
156C22×C4×C61—23no—
157C22×C4×C61—23no—
158C22×C4×C61C22×C413yes—
159C2×C22⋊D61—23no—
160C2×C22⋊D61—23no—
161C2×C22⋊D61—21no—
162C2×C22⋊D61C22⋊C416yes—
163C22×Dic61—23no—
164C22×Dic61—23no—
165C22×Dic61C2×D413yes—
166#11758226—224no—
167#11758226—26no—
168#11758226C22⋊C414yes—
169#11758226C22×C4112yescomplemented
170#11758226C2×D414yes—
171Q8×D61—28no—
172Q8×D61—212no—
173Q8×D61—212no—
174Q8×D61—212no—
175Q8×D61—23no—
176Q8×D61—23no—
177Q8×D61—212no—
178Q8×D61—212no—
179Q8×D61—224no—
180Q8×D61C22⋊C414yes—
181Q8×D61C22×C416yes—
182Q8×D61C22×C4124yescomplemented
183Q8×D61C2×D414yes—
184Q8×D61C2416yes—
185#11758224—224no—
186#11758224—248no—
187#11758224—212no—
188#11758224—212no—
189#11758224—26no—
190#11758224C22⋊C4112yes—
191#11758224C22×C4112yescomplemented
192#11758224C2×D4112yes—
193D4×D61—212no—
194D4×D61—212no—
195D4×D61—21no—
196D4×D61—21no—
197D4×D61C22⋊C4112yes—
198D4×D61C22×C412yes—
199D4×D61C2×D4112yes—
200D4×D61C2412yes—
201#11758222—26no—
202#11758222—248no—
203#11758222—224no—
204#11758222—212no—
205#11758222—212no—
206#11758222C22⋊C4112yes—
207#11758222C22×C4112yes—
208#11758222C22×C4112yescomplemented
209C2×D244—23no—
210C2×D244C22⋊C413yes—
211C2×D244C22×C411yescharacteristic
212C2×C4×D61—212no—
213C2×C4×D61—26no—
214C2×C4×D61—23no—
215C2×C4×D61—212no—
216C2×C4×D61—23no—
217C2×C4×D61—23no—
218C2×C4×D61—212no—
219C2×C4×D61—212no—
220C2×C4×D61C22×C416yes—
221C2×C4×D61C22×C413yes—
222C2×C4×D61C2×D413yes—
223C2×C4×D61C2×D416yes—
224C2×C4×D61C2×D416yes—
225C2×C4×D61C2×D413yes—
226C2×C4×D61C2411yescharacteristic
227C2×C4×D61C2416yes—
228C2×Dic122—23no—
229C2×Dic122—26no—
230C2×Dic122—26no—
231C2×Dic122—212no—
232C2×Dic122—23no—
233C2×Dic122—212no—
234C2×Dic122—224no—
235C2×Dic122C22⋊C413yes—
236C2×Dic122C22×C413yes—
237C2×Dic122C22×C4112yescomplemented
238C22⋊#6923—212no—
239#11758217—212no—
240C2×#92420—21no—
241C2×#92420—23no—
242C2×#92420—212no—
243C4⋊#6923—23no—
244C4⋊#6923—212no—
245C4⋊#6923—21no—
246C4⋊#6923C2416yes—
247C4⋊#6923C2412yes—
248C4×#6923—212no—
249#11758213—212no—
250D61⋊C8—21no—
251D61⋊C8—23no—
252D61⋊C8—212no—
253D61⋊C8C2412yes—
254D61⋊C8C2416yes—
255C23×C61—21no—
256C23×C61C2×C22⋊C413yes—
257C22×D61—26no—
258C22×D61—26no—
259C22×D61—21no—
260C22×D61—22no—
261C22×D61—22no—
262C22×D61—42no—
263C22×D61—42no—
264C22×D61C2×C22⋊C413yes—
265C22×D61C2×C22⋊C416yes—
266C22×D61C22×D416yes—
267C22×D61C22×D411yescharacteristic
268C2×#6923—22no—
269C2×#6923—26no—
270C2×#6923—46no—
271C2×#6923—42no—
272C2×#6923—812no—
273Q8×C61—23no—
274Q8×C61—212no—
275Q8×C61C2×C22⋊C414yes—
276Q8×C61C23×C416yes—
277D4×C61—212no—
278D4×C61—21no—
279D4×C61C2×C22⋊C4112yes—
280D4×C61C23×C412yes—
281C2×C4×C61—23no—
282C2×C4×C61—212no—
283C2×C4×C61—212no—
284C2×C4×C61C2×C22⋊C413yes—
285C2×C4×C61C2×C22⋊C416yes—
286C2×C4×C61C23×C411yescharacteristic
287C2×C4×C61C23×C416yes—
288C22⋊D61—212no—
289C22⋊D61—212no—
290C22⋊D61—22no—
291C22⋊D61—22no—
292C22⋊D61C2×C22⋊C4124yes—
293C2×Dic61—23no—
294C2×Dic61—212no—
295C2×Dic61—212no—
296C2×Dic61C2×C22⋊C413yes—
297C2×Dic61C2×C22⋊C416yes—
298C2×Dic61C22×D411yescharacteristic
299C2×Dic61C22×D416yes—
300D244—212no—
301D244—21no—
302D244C2×C22⋊C4112yes—
303D244C23×C412yes—
304C4×D61—26no—
305C4×D61—224no—
306C4×D61—26no—
307C4×D61—212no—
308C4×D61—212no—
309C4×D61C2×C22⋊C416yes—
310C4×D61C2×C22⋊C416yes—
311C4×D61C2×C22⋊C416yes—
312C4×D61C23×C411yescharacteristic
313C4×D61C23×C416yes—
314C4×D61C22×D416yes—
315C4×D61C22×D411yescharacteristic
316C4×D61C22×D411yescharacteristic
317C4×D61C22×D416yes—
318C4×D61C2511yescharacteristic
319Dic122—23no—
320Dic122—212no—
321Dic122—26no—
322Dic122—224no—
323Dic122—26no—
324Dic122C2×C22⋊C4112yes—
325Dic122C23×C416yes—
326#92420—22no—
327#92420—26no—
328C2×#2898—611nomaximal, Sylow
329C22×C61—26no—
330C22×C61—22no—
331C22×C61—42no—
332C22×C61C22×C22⋊C416yes—
333C22×C61C22×C22⋊C411yescharacteristic
334C2×D61—26no—
335C2×D61—212no—
336C2×D61—26no—
337C2×D61—26no—
338C2×D61—22no—
339C2×D61—42no—
340C2×D61—44no—
341C2×D61—42no—
342C2×D61—42no—
343C2×D61C22×C22⋊C416yes—
344C2×D61C22×C22⋊C411yescharacteristic
345C2×D61#57712yes—
346C2×D61#57812yes—
347C2×D61C23×D411yescharacteristic
348#6923—46no—
349#6923—42no—
350C4×C61—26no—
351C4×C61C22×C22⋊C411yescharacteristic
352C4×C61C22×C22⋊C416yes—
353C4×C61C24×C411yescharacteristic
354Dic61—26no—
355Dic61C22×C22⋊C411yescharacteristic
356Dic61C22×C22⋊C416yes—
357Dic61C23×D411yescharacteristic
358C22×2−1+4—611no—
359C22×#131—611no—
360C2×#520—611no—
361#2898—6116no—
362C2×#417—613no—
363C2×#419—613no—
364C2×#416—613no—
365C22×#103—613no—
366C2×C61—26no—
367C2×C61—42no—
368C2×C61#289812yescomplemented
369C2×C61C23×C22⋊C411yescharacteristic
370D61—26no—
371D61—42no—
372D61#289812yescomplemented
373D61C2×#57711yescharacteristic
374D61C2×#57811yescharacteristic
375C2×2−1+4—618no—
376C2×2−1+4—618no—
377C2×2−1+4—611no—
378C2×2−1+4—613no—
379C2×2−1+4—613no—
380C2×2−1+4—1221no—
381C2×2−1+4—1223no—
382C2×2−1+4—1224no—
383C2×2−1+4—1224no—
384C2×2−1+4#692311yescharacteristic, complemented
385C22×#41—611no—
386C22×#41—613no—
387C22×#41—1223no—
388C23×Q8—613no—
389C23×Q8—1221no—
390C2×#131—618no—
391C2×#131—1223no—
392C2×#131—1224no—
393C2×#131—1221no—
394C22×M16—613no—
395C23×C8—613no—
396#520—618no—
397#520—1224no—
398C2×C4×Q8—1221no—
399C2×C4×D4—1223no—
400C2×#117—613no—
401C22×C4⋊C4—613no—
402#419—6124no—
403#417—6124no—
404#416—6124no—
405C2×#103—613no—
406C2×#103—616no—
407C2×#103—613no—
408C2×#103—6124no—
409C2×#102—611no—
410C2×#102—613no—
411C61C2×#289811yescharacteristic, complemented, Sylow
4122−1+4—24no—
4132−1+4—618no—
4142−1+4—6124no—
4152−1+4—6124no—
4162−1+4—1228no—
4172−1+4—1228no—
4182−1+4—12212no—
4192−1+4—12224no—
4202−1+4—12224no—
4212−1+4—12212no—
4222−1+4—1224no—
4232−1+4C2×#692318yescomplemented
424C2×#41—23no—
425C2×#41—614no—
426C2×#41—614no—
427C2×#41—614no—
428C2×#41—614no—
429C2×#41—611no—
430C2×#41—613no—
431C2×#41—613no—
432C2×#41—6112no—
433C2×#41—6112no—
434C2×#41—613no—
435C2×#41—613no—
436C2×#41—613no—
437C2×#41—1223no—
438C2×#41—1226no—
439C2×#41—1223no—
440C2×#41—1223no—
441C2×#41—1226no—
442C2×#41—1226no—
443C2×#41—1226no—
444C2×#41—1223no—
445C2×#41—12224no—
446C2×#41—12224no—
447C2×#41—1223no—
448C2×#41C2×#692311yescharacteristic
449C2×#41C2×#692313yescomplemented
450C22×Q8—21no—
451C22×Q8—611no—
452C22×Q8—616no—
453C22×Q8—613no—
454C22×Q8—6112no—
455C22×Q8—6112no—
456C22×Q8—613no—
457C22×Q8—1223no—
458C22×Q8—1223no—
459C22×Q8—1223no—
460C22×Q8—1226no—
461C22×Q8—1223no—
462C22×Q8—1226no—
463C22×Q8—1228no—
464C22×Q8—1228no—
465C22×Q8—1223no—
466C22×Q8—1221no—
467C22×Q8C2×#692313yescomplemented
468C22×D4—613no—
469C22×D4—611no—
470C22×D4—1223no—
471C23×C4—613no—
472C23×C4—1223no—
473C23×C4—1223no—
474C23×C4—1223no—
475#131—12224no—
476#131—1228no—
477C2×M16—6112no—
478C2×M16—1223no—
479C2×M16—1226no—
480C2×M16—1223no—
481C22×C8—611no—
482C22×C8—613no—
483C22×C8—6112no—
484C22×C8—1223no—
485C22×C8—1226no—
486C22×C8—1223no—
487C4×Q8—1228no—
488C4×D4—12224no—
489#117—6112no—
490#117—1226no—
491C2×C4⋊C4—613no—
492C2×C4⋊C4—6112no—
493C2×C4⋊C4—611no—
494C2×C4⋊C4—1223no—
495C2×C4⋊C4—1226no—
496C2×C22⋊C4—1223no—
497C2×C42—1223no—
498#103—6112no—
499#103—6124no—
500#103—6112no—
501#102—614no—
502#102—6112no—
503C24—613no—
504C24—1221no—
505#41—224no—
506#41—26no—
507#41—614no—
508#41—614no—
509#41—6112no—
510#41—6112no—
511#41—6112no—
512#41—6112no—
513#41—6112no—
514#41—6112no—
515#41—6112no—
516#41—12212no—
517#41—12212no—
518#41—12248no—
519#41—12224no—
520#41—12212no—
521#41—12212no—
522#41—1226no—
523#41—1226no—
524#41—12248no—
525#41—12224no—
526#41—12224no—
527#41—1226no—
528#41C22⋊#692314yes—
529#41C22×#692314yes—
530#41C22×#6923112yescomplemented
531C2×Q8—28no—
532C2×Q8—23no—
533C2×Q8—26no—
534C2×Q8—614no—
535C2×Q8—614no—
536C2×Q8—613no—
537C2×Q8—616no—
538C2×Q8—616no—
539C2×Q8—6124no—
540C2×Q8—613no—
541C2×Q8—6112no—
542C2×Q8—1226no—
543C2×Q8—1223no—
544C2×Q8—12212no—
545C2×Q8—12212no—
546C2×Q8—12224no—
547C2×Q8—12212no—
548C2×Q8—12212no—
549C2×Q8—1223no—
550C2×Q8—1223no—
551C2×Q8—12212no—
552C2×Q8—12212no—
553C2×Q8—12212no—
554C2×Q8—12224no—
555C2×Q8—1228no—
556C2×Q8—1223no—
557C2×Q8—1226no—
558C2×Q8C22⋊#692311yescharacteristic
559C2×Q8C22×#692313yes—
560C2×Q8C22×#6923112yescomplemented
561C2×D4—23no—
562C2×D4—616no—
563C2×D4—6112no—
564C2×D4—6112no—
565C2×D4—612no—
566C2×D4—612no—
567C2×D4—613no—
568C2×D4—611no—
569C2×D4—1223no—
570C2×D4—1221no—
571C2×D4—1221no—
572C2×D4—1221no—
573C2×D4—12212no—
574C2×D4—12212no—
575C2×D4—1223no—
576C2×D4—1223no—
577C2×D4C22⋊#692313yes—
578C2×D4C22×#692311yescharacteristic
579C22×C4—23no—
580C22×C4—23no—
581C22×C4—613no—
582C22×C4—613no—
583C22×C4—616no—
584C22×C4—616no—
585C22×C4—613no—
586C22×C4—611no—
587C22×C4—616no—
588C22×C4—616no—
589C22×C4—613no—
590C22×C4—1223no—
591C22×C4—12212no—
592C22×C4—12212no—
593C22×C4—1223no—
594C22×C4—12212no—
595C22×C4—12212no—
596C22×C4—1226no—
597C22×C4—1223no—
598C22×C4—1223no—
599C22×C4—1223no—
600C22×C4—12212no—
601C22×C4—1221no—
602C22×C4—1223no—
603C22×C4—4886no—
604C22×C4C22×#692313yes—
605M16—12212no—
606M16—12212no—
607C2×C8—612no—
608C2×C8—616no—
609C2×C8—1221no—
610C2×C8—1221no—
611C2×C8—1223no—
612C2×C8—1223no—
613C2×C8—12212no—
614C2×C8—12212no—
615C4⋊C4—616no—
616C4⋊C4—612no—
617C4⋊C4—1223no—
618C4⋊C4—12212no—
619C4⋊C4—1221no—
620C22⋊C4—12212no—
621C42—12212no—
622C23—21no—
623C23—611no—
624C23—616no—
625C23—616no—
626C23—613no—
627C23—1226no—
628C23—1226no—
629C23—1222no—
630C23—1222no—
631C23—1221no—
632C23—2442no—
633C23—2442no—
634C23C2×C22⋊#692313yes—
635Q8—23no—
636Q8—212no—
637Q8—6112no—
638Q8—616no—
639Q8—1226no—
640Q8—12224no—
641Q8—1226no—
642Q8—12212no—
643Q8—1223no—
644Q8C2×C22⋊#692314yes—
645Q8C23×#692316yes—
646D4—212no—
647D4—21no—
648D4—6124no—
649D4—6112no—
650D4—612no—
651D4—12212no—
652D4—1222no—
653D4—1222no—
654D4—12212no—
655D4—12212no—
656D4—1221no—
657D4C2×C22⋊#6923112yes—
658D4C23×#692312yes—
659C2×C4—212no—
660C2×C4—23no—
661C2×C4—212no—
662C2×C4—616no—
663C2×C4—616no—
664C2×C4—613no—
665C2×C4—611no—
666C2×C4—616no—
667C2×C4—616no—
668C2×C4—616no—
669C2×C4—616no—
670C2×C4—611no—
671C2×C4—611no—
672C2×C4—616no—
673C2×C4—611no—
674C2×C4—616no—
675C2×C4—611no—
676C2×C4—12212no—
677C2×C4—1226no—
678C2×C4—1226no—
679C2×C4—12224no—
680C2×C4—12212no—
681C2×C4—12212no—
682C2×C4—1223no—
683C2×C4—12212no—
684C2×C4—1222no—
685C2×C4—1226no—
686C2×C4—48812no—
687C2×C4—2442no—
688C2×C4—2446no—
689C2×C4C2×C22⋊#692316yes—
690C2×C4C2×C22⋊#692313yes—
691C2×C4C23×#692316yes—
692C2×C4C23×#692311yescharacteristic
693C8—1222no—
694C8—1226no—
695C22—26no—
696C22—22no—
697C22—42no—
698C22—611no—
699C22—611no—
700C22—612no—
701C22—612no—
702C22—616no—
703C22—1226no—
704C22—1226no—
705C22—12212no—
706C22—1226no—
707C22—1222no—
708C22—2442no—
709C22—2442no—
710C22—2444no—
711C22—2442no—
712C22C22×C22⋊#692316yes—
713C22C22×C22⋊#692311yescharacteristic
714C4—26no—
715C4—611no—
716C4—616no—
717C4—611no—
718C4—1226no—
719C4—2446no—
720C4—2442no—
721C4C22×C22⋊#692316yes—
722C4C22×C22⋊#692311yescharacteristic
723C4C24×#692311yescharacteristic
724C2—26no—
725C2—42no—
726C2—611no—
727C2—611no—
728C2—612no—
729C2—1226no—
730C2—2442no—
731C2#2146244112yesdirect product factor
732C2C23×C22⋊#692311yescharacteristic
subgroupG/H
centerC22C22×C22⋊#6923
commutatorC4×C61C24×C4
FrattiniC4C24×#6923
FittingC2×2−1+4×C61C4
socleC22×C61C22×C22⋊C4
prime radicalC2×2−1+4×D61C2
cosocleC4×D61C25
hypercenterC2×2−1+4#6923
hypocenterC61C2×#2898
LCSG ▷ C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×#41 ◁ C2×2−1+4

Complements

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

NH ≅ G/Ntype
1. C2×D61⋊#131C2semidirect
2. C2×#16840831C2semidirect
3. #21462441C2direct (N × H)
4. C2×#16840753C2semidirect
5. C2×#16840755C2semidirect
6. C2×#16840752C2semidirect
7. C22×#14519840C2semidirect
11. D61⋊#131C22semidirect
16. #16840831C22semidirect
21. #16840755C22semidirect
22. #16840753C22semidirect
23. #16840752C22semidirect
27. C2×#14519840C22semidirect
31. C2×#14519825C4semidirect
33. C2×#14519824C4semidirect
34. C2×#14519824C4semidirect
37. 2−1+4×D61C4semidirect
44. C2×2−1+4×C61C4semidirect
77. #14519825C2×C4semidirect
82. #14519824C2×C4semidirect
83. #14519824C2×C4semidirect
85. C2×#11758226C2×C4semidirect
91. C2×#11758222C2×C4semidirect
95. C2×#11758224C2×C4semidirect
102. #41×D61C2×C4semidirect
109. C22×Dic122C2×C4semidirect
118. C2×Q8×D61C2×C4semidirect
119. C2×Q8×D61C2×C4semidirect
130. 2−1+4×C61C2×C4semidirect
133. C2×#41×C61C2×C4semidirect
135. C22×Q8×C61C2×C4semidirect
146. #41×C61C22×C4semidirect
152. C2×Q8×C61C22×C4semidirect
169. #11758226C22×C4semidirect
182. Q8×D61C22×C4semidirect
191. #11758224C22×C4semidirect
208. #11758222C22×C4semidirect
237. C2×Dic122C22×C4semidirect
368. C2×C61#2898semidirect
372. D61#2898semidirect
384. C2×2−1+4#6923semidirect
411. C61C2×#2898semidirect
423. 2−1+4C2×#6923semidirect
449. C2×#41C2×#6923semidirect
467. C22×Q8C2×#6923semidirect
530. #41C22×#6923semidirect
560. C2×Q8C22×#6923semidirect
731. C2#21462441direct (N × H)

Maximal subgroups

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

subgroupindex
C2×D61⋊#1312
C2×#168408312
#214624412
C2×#168407532
C2×#168407552
C2×#168407522
C22×#145198402
C2×2−1+4×D612
C2×#289861