Finite Group Databasebeta

← #30624830

Subgroups — #30624830

Order 15616.

3154 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
1C2×#16840831C212yesmaximal, complemented
2#21462346C214yesmaximal, complemented
3#21462345C214yesmaximal, complemented
4#21462344C214yesmaximal, complemented
5#21462343C214yesmaximal, complemented
6#21462308C214yesmaximal, complemented
7#21462299C211yesmaximal, characteristic, complemented
8#121×#6923C214yesmaximal, complemented
9#21462280C212yesmaximal, complemented
10C2×C4⋊C4×#6923C211yesmaximal, characteristic, complemented
11#537×D61C211yesmaximal, characteristic
12#16840831—216no—
13C2×Q8×#6923C2214yes—
14C2×D4×#6923C2218yes—
15C2×D4×#6923C2214yes—
16C2×D4×#6923C2214yes—
17C2×#14519856C2212yes—
18C2×#14519856C2214yes—
19C22×C4⋊#6923C2214yes—
20C22×C4⋊#6923C2211yescharacteristic
21C22×C4×#6923C2211yescharacteristic
22C22×C4×#6923C2212yes—
23(C2×#6923)⋊Q8C2212yes—
24(C2×#6923)⋊Q8C2212yes—
25#16840714C2212yes—
26#16840714C2212yes—
27#16840714C2214yes—
28#16840713C2214yes—
29#16840713C2214yes—
30#16840713C2214yes—
31#16840712C2218yes—
32#16840712C2218yes—
33#16840711C2218yes—
34#16840710C2214yes—
35#16840710C2214yes—
36#16840710C2218yes—
37#16840709C2218yes—
38#16840704C2214yes—
39C4⋊C4×#6923C2214yes—
40C4⋊C4×#6923C2214yes—
41C4⋊C4×#6923C2214yes—
42C22⋊C4×#6923C2218yes—
43C4×C22⋊#6923C2214yes—
44C4×C22⋊#6923C2214yes—
45C2×(C2×#6923)⋊C4C2212yes—
46C2×#41×D61C2212yes—
47#16840343C411yescharacteristic, complemented
48#16840342C414yescomplemented
49#16840341C414yescomplemented
50#16840340C412yescomplemented
51#16840339C414yescomplemented
52C22⋊Q8×D61C2214yes—
53#121×D61C2214yes—
54#121×D61C2214yes—
55C2×C4⋊C4×D61C2211yescharacteristic
56C61×#537C411yescharacteristic, complemented
57C23×#6923C2311yescharacteristic
58C23×#6923C2318yes—
59C23×#6923C2311yescharacteristic
60C23×#6923C2312yes—
61Q8×#6923—216no—
62D4×#6923—232no—
63D4×#6923—216no—
64D4×#6923—48no—
65#14519856—28no—
66#14519856—216no—
67C2×C4⋊#6923—216no—
68C2×C4⋊#6923D418yescomplemented
69C2×C4⋊#6923C2318yes—
70C2×C4⋊#6923C2312yes—
71C2×C4⋊#6923C2312yes—
72C2×C4⋊#6923C2314yes—
73C2×C4⋊#6923C2314yes—
74C2×C4⋊#6923C2314yes—
75C2×C22⋊#6923C2314yes—
76C2×C22⋊#6923C2318yes—
77C2×C22⋊#6923C2314yes—
78C2×C22⋊#6923C2314yes—
79C2×C22⋊#6923C2314yes—
80C2×C22⋊#6923C2314yes—
81C2×C4×#6923—24no—
82C2×C4×#6923—44no—
83C2×C4×#6923C2318yes—
84C2×C4×#6923C2314yes—
85C2×C4×#6923C2314yes—
86C2×C4×#6923C2312yes—
87C2×C4×#6923C2312yes—
88C2×C4×#6923C2314yes—
89(C2×#6923)⋊C4C2318yes—
90(C2×#6923)⋊C4C2314yes—
91(C2×#6923)⋊C4C2318yes—
92(C2×#6923)⋊C4C2314yes—
93(C2×#6923)⋊C4C2314yes—
94(C2×#6923)⋊C4C2314yes—
95C2×#11758226C2×C412yescomplemented
96C2×#11758222C2×C412yescomplemented
97C2×#11758222C2×C414yescomplemented
98C2×#11758224C2×C414yescomplemented
99C2×#11758224C2×C412yescomplemented
100#41×D61—28no—
101#41×D61—28no—
102C2×Q8×D61C2312yes—
103C2×D4×D61C2314yes—
104C2×D4×D61C2312yes—
105C2×D4×D61C2314yes—
106C22×C4×D61C2314yes—
107C22×C4×D61C2312yes—
108C22×C4×D61C2311yescharacteristic
109#14519757C2×C414yescomplemented
110#14519756C2×C414yescomplemented
111#14519755C2×C418yescomplemented
112#14519754C2×C418yescomplemented
113#14519753C2×C414yescomplemented
114#14519752C2×C414yescomplemented
115#14519752C2×C414yescomplemented
116#14519751C2×C414yescomplemented
117#14519751C2×C414yescomplemented
118#14519750C2×C418yescomplemented
119#14519750C2×C418yescomplemented
120#14519749C2×C418yescomplemented
121#14519749C2×C418yescomplemented
122#14519748C2×C414yescomplemented
123#14519748C2×C414yescomplemented
124C2×C4⋊Dic61C2×C411yescharacteristic, complemented
125C2×#11758196C2×C412yescomplemented
126C4⋊C4×D61C2×C414yescomplemented
127C4⋊C4×D61C2314yes—
128C4⋊C4×D61C2314yes—
129C22⋊C4×D61C2318yes—
130C2×#41×C61C2×C412yescomplemented
131C22⋊Q8×C61C2×C414yescomplemented
132#121×C61C2×C414yescomplemented
133#121×C61C2×C414yescomplemented
134C2×C4⋊C4×C61C2×C411yescharacteristic, complemented
135C23×D61C2414yes—
136C23×D61C2411yescharacteristic
137C22×#6923—22no—
138C22×#6923—22no—
139C22×#6923—22no—
140C22×#6923—22no—
141C22×#6923—216no—
142C22×#6923—42no—
143C22×#6923—42no—
144C22×#6923—41no—
145C22×#6923—41no—
146C22×#6923—48no—
147C22×#6923—48no—
148C22×#6923C2×D418yes—
149C22×#6923C2412yes—
150C22×#6923C2414yes—
151C22×#6923C2414yes—
152C22×#6923C2414yes—
153C22×#6923C2411yescharacteristic
154C22×#6923C2411yescharacteristic
155#41×C61—28no—
156C2×Q8×C61C22×C412yes—
157C2×D4×C61C22×C412yes—
158C2×D4×C61C22×C414yes—
159C2×D4×C61C22×C414yes—
160C22×C4×C61C22×C414yes—
161C22×C4×C61C22×C412yes—
162C22×C4×C61C22×C411yescharacteristic
163C2×C22⋊D61C22×C414yes—
164C2×C22⋊D61C22×C414yes—
165C2×C22⋊D61C22×C414yes—
166C2×C22⋊D61C22×C418yes—
167C22×Dic61C22×C414yes—
168C22×Dic61C22×C412yes—
169C22×Dic61C22×C411yescharacteristic
170#11758226—28no—
171Q8×D61—24no—
172Q8×D61—24no—
173#11758224—216no—
174#11758224—28no—
175D4×D61—28no—
176D4×D61—28no—
177D4×D61—24no—
178D4×D61—24no—
179D4×D61—44no—
180D4×D61—44no—
181#11758222—28no—
182#11758222—216no—
183C2×D244C22×C414yes—
184C2×D244C22×C412yes—
185C2×D244C22×C414yes—
186C2×C4×D61—28no—
187C2×C4×D61—28no—
188C2×C4×D61—42no—
189C2×C4×D61—42no—
190C2×C4×D61C22×C414yes—
191C2×C4×D61C22×C414yes—
192C2×C4×D61C22×C414yes—
193C2×C4×D61C22×C412yes—
194C2×C4×D61C2×D414yes—
195C2×C4×D61#4114yes—
196C2×C4×D61C2414yes—
197C2×C4×D61C2414yes—
198C2×C4×D61C2412yes—
199C2×Dic122C22×C414yes—
200C2×Dic122C22×C412yes—
201C22⋊#6923—28no—
202C22⋊#6923—216no—
203C22⋊#6923—28no—
204C22⋊#6923—28no—
205C22⋊#6923—44no—
206C22⋊#6923—44no—
207C4⋊#6923—216no—
208C4⋊#6923—24no—
209C4⋊#6923—24no—
210C4⋊#6923—44no—
211C4⋊#6923—44no—
212C4⋊#6923C2×D4116yes—
213C4×#6923—216no—
214C4×#6923—28no—
215C4×#6923—28no—
216C4×#6923—24no—
217C4×#6923—24no—
218C4×#6923—44no—
219C4⋊C4×C61C22×C414yes—
220C4⋊C4×C61C22×C414yes—
221C22⋊C4×C61C22×C418yes—
222C22⋊Dic61C22×C418yes—
223#11758198C22×C418yes—
224#11758198C22×C418yes—
225C4⋊Dic61C22×C414yes—
226C4⋊Dic61C22×C414yes—
227#11758196C22×C418yes—
228#11758196C22×C418yes—
229C23×C61C23×C414yes—
230C23×C61C23×C411yescharacteristic
231C22×D61—21no—
232C22×D61—21no—
233C22×D61—21no—
234C22×D61—21no—
235C22×D61—24no—
236C22×D61—24no—
237C22×D61—24no—
238C22×D61—24no—
239C22×D61—24no—
240C22×D61—24no—
241C22×D61C23×C414yes—
242C22×D61C23×C411yescharacteristic
243C22×D61C22×D412yes—
244C22×D61C2×#4112yes—
245C22×D61C2511yescharacteristic
246C2×#6923—28no—
247C2×#6923—21no—
248C2×#6923—21no—
249C2×#6923—24no—
250C2×#6923—21no—
251C2×#6923—21no—
252C2×#6923—24no—
253C2×#6923—24no—
254C2×#6923—24no—
255C2×#6923—22no—
256C2×#6923—24no—
257C2×#6923—24no—
258C2×#6923—24no—
259C2×#6923—22no—
260C2×#6923—22no—
261C2×#6923—24no—
262C2×#6923—48no—
263C2×#6923—44no—
264C2×#6923—816no—
265C2×#6923C22×D418yes—
266C2×#6923H(5,𝔽2)12yes—
267C2×#69232−1+412yes—
268Q8×C61—24no—
269D4×C61—28no—
270D4×C61—24no—
271D4×C61—44no—
272C2×C4×C61—28no—
273C2×C4×C61—42no—
274C2×C4×C61C4×D414yescomplemented
275C2×C4×C61C23×C414yes—
276C2×C4×C61C23×C414yes—
277C2×C4×C61C23×C412yes—
278C22⋊D61—28no—
279C22⋊D61—28no—
280C22⋊D61—28no—
281C22⋊D61—48no—
282C2×Dic61—28no—
283C2×Dic61—42no—
284C2×Dic61C4×D414yescomplemented
285C2×Dic61C23×C414yes—
286C2×Dic61C23×C414yes—
287C2×Dic61C23×C412yes—
288D244—28no—
289D244—24no—
290D244—44no—
291C4×D61—24no—
292C4×D61—24no—
293C4×D61—24no—
294C4×D61—24no—
295C4×D61—28no—
296C4×D61—28no—
297C4×D61—44no—
298C4×D61C4×D418yescomplemented
299C4×D61C22×D414yes—
300C4×D61C2×#4114yes—
301Dic122—24no—
302Dic122—28no—
303#34274—611nomaximal, Sylow
304C22×C61—21no—
305C22×C61—21no—
306C22×C61—24no—
307C22×C61—24no—
308C22×C61—24no—
309C22×C61C2×C4×D412yes—
310C22×C61C24×C411yescharacteristic
311C2×D61—21no—
312C2×D61—21no—
313C2×D61—22no—
314C2×D61—22no—
315C2×D61—22no—
316C2×D61—22no—
317C2×D61—24no—
318C2×D61—24no—
319C2×D61—24no—
320C2×D61—44no—
321C2×D61—44no—
322C2×D61—44no—
323C2×D61—44no—
324C2×D61C2×C4×D412yes—
325C2×D61C23×D411yescharacteristic
326C2×D61C22×#4111yescharacteristic
327C2×D61C2×H(5,𝔽2)11yescharacteristic
328C2×D61C2×2−1+411yescharacteristic
329C2×D61#58511yescharacteristic
330C2×D61#58511yescharacteristic
331#6923—22no—
332#6923—22no—
333#6923—28no—
334#6923—42no—
335#6923—44no—
336#6923—44no—
337C4×C61—24no—
338C4×C61—24no—
339C4×C61C2×C4×D414yes—
340Dic61—24no—
341Dic61—24no—
342Dic61C2×C4×D414yes—
343C2×#537—611no—
344C2×#520—612no—
345#2363—614no—
346#2362—614no—
347#2361—614no—
348#2360—614no—
349#2325—614no—
350#2316—611no—
351C4×#121—614no—
352#2297—612no—
353C2×C4×C4⋊C4—611no—
354C2×C61—22no—
355C2×C61—44no—
356C2×C61C22×C4×D411yescharacteristic
357C2×C61C4×H(5,𝔽2)11yescharacteristic
358C2×C61C4×2−1+411yescharacteristic
359D61—22no—
360D61—44no—
361D61#349211yescharacteristic
362D61#349311yescharacteristic
363D61#349611yescharacteristic
364D61#349711yescharacteristic
365C22×#41—612no—
366#537—612no—
367#537—614no—
368#537—614no—
369#537—614no—
370#537—611no—
371#537#692311yescharacteristic, complemented
372C2×C22⋊Q8—614no—
373C2×#121—614no—
374C2×#121—614no—
375#520—12216no—
376C2×C4×Q8—614no—
377C2×C4×D4—618no—
378C2×C4×D4—614no—
379C2×C4×D4—614no—
380C2×#117—612no—
381C2×#117—614no—
382C22×C4⋊C4—611no—
383C22×C4⋊C4—611no—
384C22×C4⋊C4—614no—
385C22×C42—611no—
386C22×C42—612no—
387#391—612no—
388#391—612no—
389#390—612no—
390#390—612no—
391#390—614no—
392#389—614no—
393#389—614no—
394#389—614no—
395#388—618no—
396#388—618no—
397#387—618no—
398#386—614no—
399#386—618no—
400#386—614no—
401#385—618no—
402#380—614no—
403C4×C4⋊C4—614no—
404C4×C4⋊C4—614no—
405C4×C4⋊C4—614no—
406C4×C22⋊C4—614no—
407C4×C22⋊C4—618no—
408C4×C22⋊C4—614no—
409C2×#95—612no—
410C61#3427411yescharacteristic, complemented, Sylow
411C2×#41—612no—
412C2×#41—614no—
413C2×#41—612no—
414C2×#41—614no—
415C2×#41—612no—
416C2×#41—1228no—
417C2×#41—1228no—
418C2×#41C2×#692312yescomplemented
419C22×Q8—612no—
420C22×D4—614no—
421C22×D4—612no—
422C22×D4—614no—
423C23×C4—611no—
424C23×C4—612no—
425C23×C4—614no—
426C23×C4—612no—
427C23×C4—611no—
428C23×C4—618no—
429C23×C4—611no—
430C22⋊Q8—614no—
431C22⋊Q8—614no—
432C22⋊Q8—618no—
433C22⋊Q8—614no—
434C22⋊Q8—618no—
435C22⋊Q8C2×#692314yescomplemented
436#121—614no—
437#121—614no—
438#121—618no—
439#121—618no—
440#121—614no—
441#121—614no—
442#121—614no—
443#121—614no—
444#121—618no—
445#121—618no—
446#121C2×#692314yescomplemented
447#121C2×#692314yescomplemented
448C4×Q8—12216no—
449C4×D4—12216no—
450C4×D4—12232no—
451C4×D4—2448no—
452#117—12216no—
453#117—1228no—
454C2×C4⋊C4—614no—
455C2×C4⋊C4—618no—
456C2×C4⋊C4—612no—
457C2×C4⋊C4—611no—
458C2×C4⋊C4—614no—
459C2×C4⋊C4—614no—
460C2×C4⋊C4—614no—
461C2×C4⋊C4—612no—
462C2×C4⋊C4—618no—
463C2×C4⋊C4—612no—
464C2×C4⋊C4—614no—
465C2×C4⋊C4—614no—
466C2×C4⋊C4—12216no—
467C2×C4⋊C4C2×#692311yescharacteristic, complemented
468C2×C22⋊C4—618no—
469C2×C22⋊C4—614no—
470C2×C22⋊C4—618no—
471C2×C22⋊C4—614no—
472C2×C22⋊C4—614no—
473C2×C22⋊C4—614no—
474C2×C22⋊C4—614no—
475C2×C42—614no—
476C2×C42—618no—
477C2×C42—614no—
478C2×C42—612no—
479C2×C42—612no—
480C2×C42—614no—
481C2×C42—1224no—
482C2×C42—2444no—
483#95—618no—
484#95—614no—
485#95—614no—
486#95—618no—
487#95—614no—
488#95—614no—
489C24—611no—
490C24—614no—
491#41—28no—
492#41—12216no—
493#41—12216no—
494#41—1228no—
495#41—1228no—
496#41—1228no—
497C2×Q8—614no—
498C2×Q8—612no—
499C2×Q8—1224no—
500C2×Q8—1224no—
501C2×Q8C22×#692312yes—
502C2×D4—614no—
503C2×D4—614no—
504C2×D4—614no—
505C2×D4—618no—
506C2×D4—614no—
507C2×D4—612no—
508C2×D4—614no—
509C2×D4—1224no—
510C2×D4—1224no—
511C2×D4—1228no—
512C2×D4—1228no—
513C2×D4—2444no—
514C2×D4—2444no—
515C2×D4C22×#692314yes—
516C2×D4C22×#692312yes—
517C2×D4C22×#692314yes—
518C22×C4—611no—
519C22×C4—614no—
520C22×C4—614no—
521C22×C4—612no—
522C22×C4—612no—
523C22×C4—611no—
524C22×C4—611no—
525C22×C4—614no—
526C22×C4—614no—
527C22×C4—618no—
528C22×C4—612no—
529C22×C4—614no—
530C22×C4—614no—
531C22×C4—614no—
532C22×C4—614no—
533C22×C4—614no—
534C22×C4—612no—
535C22×C4—614no—
536C22×C4—614no—
537C22×C4—1228no—
538C22×C4—1228no—
539C22×C4—1222no—
540C22×C4—1222no—
541C22×C4—12216no—
542C22×C4—1222no—
543C22×C4—1222no—
544C22×C4—2442no—
545C22×C4—2442no—
546C22×C4—2448no—
547C22×C4—2448no—
548C22×C4—2442no—
549C22×C4—2442no—
550C22×C4—2441no—
551C22×C4—2441no—
552C22×C4C22×#692314yes—
553C22×C4C22×#692312yes—
554C22×C4C22×#692311yescharacteristic
555C4⋊C4—6116no—
556C4⋊C4—618no—
557C4⋊C4—614no—
558C4⋊C4—618no—
559C4⋊C4—614no—
560C4⋊C4—1224no—
561C4⋊C4—12216no—
562C4⋊C4—1224no—
563C4⋊C4—2444no—
564C4⋊C4—2444no—
565C4⋊C4C22×#692314yes—
566C4⋊C4C22×#692314yes—
567C22⋊C4—618no—
568C22⋊C4—618no—
569C22⋊C4—618no—
570C22⋊C4—12216no—
571C22⋊C4—1228no—
572C22⋊C4—1228no—
573C22⋊C4—1228no—
574C22⋊C4—2444no—
575C22⋊C4—2444no—
576C22⋊C4C22×#692318yes—
577C42—1224no—
578C42—1224no—
579C42—1228no—
580C42—1228no—
581C42—12216no—
582C42—2444no—
583C23—611no—
584C23—612no—
585C23—612no—
586C23—611no—
587C23—614no—
588C23—1221no—
589C23—1221no—
590C23—1221no—
591C23—1221no—
592C23—1224no—
593C23—1224no—
594C23—1224no—
595C23—1224no—
596C23—1224no—
597C23—1224no—
598C23C23×#692314yes—
599C23C23×#692311yescharacteristic
600Q8—24no—
601Q8—1228no—
602Q8—1224no—
603D4—28no—
604D4—24no—
605D4—44no—
606D4—1228no—
607D4—1228no—
608D4—1228no—
609D4—1228no—
610D4—1224no—
611D4—2444no—
612D4—2448no—
613C2×C4—28no—
614C2×C4—42no—
615C2×C4—614no—
616C2×C4—612no—
617C2×C4—618no—
618C2×C4—614no—
619C2×C4—614no—
620C2×C4—618no—
621C2×C4—612no—
622C2×C4—612no—
623C2×C4—614no—
624C2×C4—614no—
625C2×C4—1228no—
626C2×C4—1224no—
627C2×C4—1224no—
628C2×C4—1224no—
629C2×C4—1224no—
630C2×C4—1228no—
631C2×C4—1221no—
632C2×C4—1221no—
633C2×C4—1224no—
634C2×C4—1221no—
635C2×C4—1221no—
636C2×C4—1224no—
637C2×C4—1228no—
638C2×C4—1228no—
639C2×C4—1224no—
640C2×C4—1222no—
641C2×C4—1224no—
642C2×C4—1224no—
643C2×C4—1224no—
644C2×C4—1222no—
645C2×C4—1222no—
646C2×C4—1224no—
647C2×C4—1224no—
648C2×C4—48816no—
649C2×C4—2444no—
650C2×C4—2442no—
651C2×C4—2448no—
652C2×C4—2444no—
653C2×C4D4×#692314yescomplemented
654C2×C4C23×#692314yes—
655C2×C4C23×#692314yes—
656C2×C4C23×#692312yes—
657C22—21no—
658C22—21no—
659C22—24no—
660C22—24no—
661C22—24no—
662C22—611no—
663C22—611no—
664C22—611no—
665C22—611no—
666C22—611no—
667C22—611no—
668C22—612no—
669C22—1222no—
670C22—1222no—
671C22—1222no—
672C22—1222no—
673C22—1221no—
674C22—1221no—
675C22—1224no—
676C22—1224no—
677C22—1224no—
678C22—2444no—
679C22—2444no—
680C22—2444no—
681C22—2444no—
682C22C2×D4×#692312yes—
683C22C24×#692311yescharacteristic
684C4—24no—
685C4—24no—
686C4—614no—
687C4—1222no—
688C4—1222no—
689C4—1228no—
690C4—1224no—
691C4—1224no—
692C4—2444no—
693C4—2442no—
694C4—2444no—
695C4C2×D4×#692314yes—
696C2—22no—
697C2—44no—
698C2—611no—
699C2—611no—
700C2—611no—
701C2—611no—
702C2—1222no—
703C2—2444no—
704C2C22×D4×#692311yescharacteristic
705C2H(5,𝔽2)×#692311yescharacteristic
706C22−1+4×#692311yescharacteristic
subgroupG/H
center, FrattiniC22C24×#6923
commutator, socleC22×C61C24×C4
FittingC61×#537C4
prime radical#537×D61C2
cosocleC22×D61C25
hypercenter#537#6923
hypocenterC61#34274
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ #537

Complements

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

NH ≅ G/Ntype
1. C2×#16840831C2semidirect
2. #21462346C2semidirect
3. #21462345C2semidirect
4. #21462344C2semidirect
5. #21462343C2semidirect
6. #21462308C2semidirect
7. #21462299C2semidirect
8. #121×#6923C2semidirect
9. #21462280C2semidirect
10. C2×C4⋊C4×#6923C2semidirect
47. #16840343C4semidirect
48. #16840342C4semidirect
49. #16840341C4semidirect
50. #16840340C4semidirect
51. #16840339C4semidirect
56. C61×#537C4semidirect
68. C2×C4⋊#6923D4semidirect
95. C2×#11758226C2×C4semidirect
96. C2×#11758222C2×C4semidirect
97. C2×#11758222C2×C4semidirect
98. C2×#11758224C2×C4semidirect
99. C2×#11758224C2×C4semidirect
109. #14519757C2×C4semidirect
110. #14519756C2×C4semidirect
111. #14519755C2×C4semidirect
112. #14519754C2×C4semidirect
113. #14519753C2×C4semidirect
114. #14519752C2×C4semidirect
115. #14519752C2×C4semidirect
116. #14519751C2×C4semidirect
117. #14519751C2×C4semidirect
118. #14519750C2×C4semidirect
119. #14519750C2×C4semidirect
120. #14519749C2×C4semidirect
121. #14519749C2×C4semidirect
122. #14519748C2×C4semidirect
123. #14519748C2×C4semidirect
124. C2×C4⋊Dic61C2×C4semidirect
125. C2×#11758196C2×C4semidirect
126. C4⋊C4×D61C2×C4semidirect
130. C2×#41×C61C2×C4semidirect
131. C22⋊Q8×C61C2×C4semidirect
132. #121×C61C2×C4semidirect
133. #121×C61C2×C4semidirect
134. C2×C4⋊C4×C61C2×C4semidirect
274. C2×C4×C61C4×D4semidirect
284. C2×Dic61C4×D4semidirect
298. C4×D61C4×D4semidirect
371. #537#6923semidirect
410. C61#34274semidirect
418. C2×#41C2×#6923semidirect
435. C22⋊Q8C2×#6923semidirect
446. #121C2×#6923semidirect
447. #121C2×#6923semidirect
467. C2×C4⋊C4C2×#6923semidirect
653. C2×C4D4×#6923semidirect

Maximal subgroups

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

subgroupindex
C2×#168408312
#214623462
#214623452
#214623442
#214623432
#214623082
#214622992
#121×#69232
#214622802
C2×C4⋊C4×#69232
#537×D612
#3427461