Finite Group Databasebeta

← #32014123

Subgroups — #32014123

Order 18176.

1066 conjugacy classes of subgroups.

The subgroup lattice has 646 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17986130C211yesmaximal, characteristic, complemented
2#22591297C211yesmaximal, characteristic, complemented
3#22589314C211yesmaximal, characteristic, complemented
4#22589310C211yesmaximal, characteristic, complemented
5#22589306C211yesmaximal, characteristic, complemented
6#22589298C211yesmaximal, characteristic, complemented
7#22589298C211yesmaximal, characteristic, complemented
8#22589293C211yesmaximal, characteristic, complemented
9#22588350C211yesmaximal, characteristic
10#22588350C211yesmaximal, characteristic
11#22588340C211yesmaximal, characteristic
12#22588165C211yesmaximal, characteristic
13#22588165C211yesmaximal, characteristic
14C4×#14556049C211yesmaximal, characteristic
15C2×#554×C71C211yesmaximal, characteristic
16#17986130—24no—
17C2×C4⋊(C71⋊C8)C2211yescharacteristic
18C2×C4⋊(C71⋊C8)C2211yescharacteristic
19C2×C4⋊(C71⋊C8)C2211yescharacteristic
20C2×#14556049C2211yescharacteristic
21C2×#14556049C2211yescharacteristic
22C2×#14556049C2211yescharacteristic
23C2×#14556049C2211yescharacteristic
24C2×#14556039C2211yescharacteristic
25C2×#14556039C2211yescharacteristic
26C2×C4×C71⋊C8C2211yescharacteristic
27#17985906—21no—
28#17985885—21no—
29#17985885—21no—
30#17985869C2211yescharacteristic
31#17985865C2211yescharacteristic
32#17985865C2211yescharacteristic
33C4⋊C4×Dic71—21no—
34C4×C4⋊Dic71C2211yescharacteristic
35C4×C4⋊Dic71C2211yescharacteristic
36C4×C4⋊Dic71C2211yescharacteristic
37#17985761C2211yescharacteristic
38#17985761C2211yescharacteristic
39#17985761C2211yescharacteristic
40#17985761C2211yescharacteristic
41#17985761C2211yescharacteristic
42#17985761C2211yescharacteristic
43#17985761C2211yescharacteristic
44#17985761C2211yescharacteristic
45#17985761C2211yescharacteristic
46#17985761C2211yescharacteristic
47#17985761C2211yescharacteristic
48#17985761C2211yescharacteristic
49#554×C71—24no—
50#554×C71C418yescomplemented
51C2×C4⋊Q8×C71C2211yescharacteristic
52C2×#125×C71C2211yescharacteristic
53C2×#125×C71C2211yescharacteristic
54C2×C22⋊Q8×C71—21no—
55C2×C22⋊Q8×C71—21no—
56C2×C22⋊Q8×C71—21no—
57C2×C4×Q8×C71C2211yescharacteristic
58C2×C4×D4×C71C2211yescharacteristic
59C2×C4×D4×C71C2211yescharacteristic
60C2×C4×D4×C71C2211yescharacteristic
61C22×C4⋊C4×C71—21no—
62C22×C71⋊C8C2311yescharacteristic
63C22×C71⋊C8C2311yescharacteristic
64C22×C71⋊C8C2311yescharacteristic
65C22×C71⋊C8C2311yescharacteristic
66C2×C4⋊Dic71—21no—
67C2×C4⋊Dic71—21no—
68C2×C4⋊Dic71C2311yescharacteristic
69C2×C4⋊Dic71C2311yescharacteristic
70C2×C4⋊Dic71C2311yescharacteristic
71C2×C4⋊Dic71C2311yescharacteristic
72C2×C4×Dic71—21no—
73C2×C4×Dic71—21no—
74C2×C4×Dic71—21no—
75C4⋊(C71⋊C8)—22no—
76C4⋊(C71⋊C8)—22no—
77C4⋊(C71⋊C8)—22no—
78#14556049—22no—
79#14556049—22no—
80#14556049—22no—
81#14556049Q814yescomplemented
82#14556039—22no—
83#14556039—22no—
84C4×C71⋊C8—22no—
85C71⋊#95—21no—
86C71⋊#95—21no—
87C71⋊#95—21no—
88C71⋊#95—21no—
89C71⋊#95—21no—
90C71⋊#95—21no—
91C71⋊#95—21no—
92C22×Q8×C71—21no—
93C22×Q8×C71D411yescharacteristic
94C22×D4×C71C2311yescharacteristic
95C23×C4×C71—21no—
96C23×C4×C71—21no—
97C23×C4×C71—21no—
98C4⋊Q8×C71—22no—
99C4⋊Q8×C71C2×C414yes—
100#125×C71—22no—
101#125×C71—22no—
102#125×C71C2×C414yes—
103#125×C71C2×C414yes—
104C22⋊Q8×C71—28no—
105C22⋊Q8×C71—28no—
106C22⋊Q8×C71—28no—
107C4×Q8×C71C2×C414yes—
108C4×Q8×C71D414yes—
109C4×D4×C71—22no—
110C4×D4×C71—22no—
111C4×D4×C71—22no—
112C4×D4×C71C2×C414yes—
113C4×D4×C71C2×C414yes—
114C4×D4×C71C2×C414yes—
115C2×C4⋊C4×C71—21no—
116C2×C4⋊C4×C71—21no—
117C2×C4⋊C4×C71—21no—
118C2×C4⋊C4×C71—21no—
119C2×C4⋊C4×C71—21no—
120C2×C4⋊C4×C71—28no—
121C2×C4⋊C4×C71D411yescharacteristic
122C2×C4⋊C4×C71D411yescharacteristic
123C2×C4⋊C4×C71D411yescharacteristic
124C2×C4⋊C4×C71C2311yescharacteristic
125C2×C4⋊C4×C71C2311yescharacteristic
126C2×C4⋊C4×C71C2311yescharacteristic
127C2×C22⋊C4×C71—21no—
128C2×C22⋊C4×C71—21no—
129C2×C22⋊C4×C71—21no—
130C2×C42×C71C2311yescharacteristic
131C2×C42×C71C2311yescharacteristic
132C2×C42×C71C2311yescharacteristic
133C22×Dic71—21no—
134C22×Dic71—21no—
135C22×Dic71—21no—
136C22×Dic71—21no—
137C2×C71⋊C8—21no—
138C2×C71⋊C8—21no—
139C2×C71⋊C8—21no—
140C2×C71⋊C8—21no—
141C2×C71⋊C8—21no—
142C2×C71⋊C8—21no—
143C2×C71⋊C8—21no—
144C2×C71⋊C8—21no—
145C2×C71⋊C8—21no—
146C2×C71⋊C8—21no—
147C2×C71⋊C8—21no—
148C2×C71⋊C8C2×Q812yes—
149C4⋊Dic71—21no—
150C4⋊Dic71—21no—
151C4⋊Dic71—21no—
152C4⋊Dic71—21no—
153C4⋊Dic71—21no—
154C4⋊Dic71—21no—
155C4⋊Dic71—21no—
156C4⋊Dic71—42no—
157C4⋊Dic71—81no—
158C4⋊Dic71C2×Q812yes—
159C4×Dic71—42no—
160C4×Dic71—81no—
161C4×Dic71—81no—
162C24×C71—21no—
163C2×Q8×C71—24no—
164C2×Q8×C71—41no—
165C2×Q8×C71—41no—
166C2×Q8×C71—81no—
167C2×Q8×C71—81no—
168C2×Q8×C71C22⋊C414yes—
169C2×D4×C71—21no—
170C2×D4×C71—21no—
171C2×D4×C71—21no—
172C2×D4×C71C22×C412yes—
173C2×D4×C71C2×Q812yes—
174C2×D4×C71#4112yes—
175C22×C4×C71—21no—
176C22×C4×C71—21no—
177C22×C4×C71—21no—
178C22×C4×C71—24no—
179C22×C4×C71—24no—
180C22×C4×C71—24no—
181C22×C4×C71—42no—
182C22×C4×C71—42no—
183C22×C4×C71—81no—
184C22×C4×C71—81no—
185C22×C4×C71—81no—
186C22×C4×C71—81no—
187C22×C4×C71C2×D411yescharacteristic
188C22×C4×C71C2×D411yescharacteristic
189C22×C4×C71C2×D411yescharacteristic
190C22×C4×C71C2×D411yescharacteristic
191C22×C4×C71C2×D411yescharacteristic
192C22×C4×C71C2×D411yescharacteristic
193C22×C4×C71C2411yescharacteristic
194C4⋊C4×C71—24no—
195C4⋊C4×C71—24no—
196C4⋊C4×C71—24no—
197C4⋊C4×C71—24no—
198C4⋊C4×C71—24no—
199C4⋊C4×C71—21no—
200C4⋊C4×C71—21no—
201C4⋊C4×C71—21no—
202C4⋊C4×C71C22⋊C414yes—
203C4⋊C4×C71C22⋊C414yes—
204C4⋊C4×C71C22⋊C414yes—
205C4⋊C4×C71C22×C412yes—
206C4⋊C4×C71C22×C412yes—
207C4⋊C4×C71C22×C412yes—
208C22⋊C4×C71—24no—
209C22⋊C4×C71—24no—
210C22⋊C4×C71—24no—
211C42×C71C22×C412yes—
212C42×C71C22×C412yes—
213C42×C71C22×C412yes—
214C42×C71C2×D412yes—
215C42×C71C2×D412yes—
216C42×C71C2×D412yes—
217C23×C71—22no—
218C23×C71—22no—
219C23×C71—22no—
220C23×C71—41no—
221C23×C71—41no—
222C23×C71—41no—
223C23×C71—41no—
224C23×C71C22×D411yescharacteristic
225Q8×C71—44no—
226Q8×C71—84no—
227D4×C71—22no—
228D4×C71—22no—
229D4×C71—22no—
230D4×C71C4×Q814yes—
231C2×C4×C71—21no—
232C2×C4×C71—21no—
233C2×C4×C71—21no—
234C2×C4×C71—21no—
235C2×C4×C71—21no—
236C2×C4×C71—21no—
237C2×C4×C71—21no—
238C2×C4×C71—21no—
239C2×C4×C71—21no—
240C2×C4×C71—21no—
241C2×C4×C71—21no—
242C2×C4×C71—21no—
243C2×C4×C71—22no—
244C2×C4×C71—22no—
245C2×C4×C71—22no—
246C2×C4×C71—48no—
247C2×C4×C71—41no—
248C2×C4×C71—41no—
249C2×C4×C71—41no—
250C2×C4×C71—41no—
251C2×C4×C71—41no—
252C2×C4×C71—41no—
253C2×C4×C71—84no—
254C2×C4×C71—84no—
255C2×C4×C71C2×C22⋊C412yes—
256C2×C4×C71C2×C22⋊C412yes—
257C2×C4×C71C2×C22⋊C412yes—
258C2×C4×C71C2×C22⋊C412yes—
259C2×C4×C71C2×C22⋊C412yes—
260C2×C4×C71C2×C22⋊C412yes—
261C2×C4×C71C23×C411yescharacteristic
262C2×C4×C71C22×D411yescharacteristic
263C2×C4×C71C22×Q811yescharacteristic
264C2×C4×C71C2×#4111yescharacteristic
265C2×C4×C712−1+411yescharacteristic
266C2×C4×C712−1+411yescharacteristic
267C2×Dic71—22no—
268C2×Dic71—41no—
269C2×Dic71—41no—
270C2×Dic71—41no—
271C2×Dic71—41no—
272C2×Dic71—41no—
273C2×Dic71—41no—
274C2×Dic71—41no—
275C2×Dic71—41no—
276C2×Dic71—41no—
277C2×Dic71—41no—
278C2×Dic71—41no—
279C71⋊C8—22no—
280C71⋊C8—41no—
281C71⋊C8—41no—
282C71⋊C8—41no—
283C22×C71—24no—
284C22×C71—42no—
285C22×C71—42no—
286C22×C71—42no—
287C22×C71—42no—
288C22×C71—42no—
289C22×C71—42no—
290C22×C71C22×C22⋊C411yescharacteristic
291C22×C71#54811yescharacteristic
292C22×C71D4×Q811yescharacteristic
293C22×C71#57511yescharacteristic
294C22×C71#57511yescharacteristic
295C22×C71#57611yescharacteristic
296C22×C71#57711yescharacteristic
297C4×C71—22no—
298C4×C71—22no—
299C4×C71—22no—
300C4×C71—22no—
301C4×C71—22no—
302C4×C71—22no—
303C4×C71—42no—
304C4×C71—42no—
305C4×C71—42no—
306C4×C71C2×C4×Q811yescharacteristic
307C4×C71#51911yescharacteristic
308C4×C71#54811yescharacteristic
309C4×C71D4×Q811yescharacteristic
310Dic71—42no—
311Dic71—81no—
312Dic71—81no—
313Dic71—81no—
314#22526—711nomaximal, Sylow
315C2×C71—44no—
316C2×C71Q8×C22⋊C411yescharacteristic
317C2×C71#289611yescharacteristic
318C2×C71#289711yescharacteristic
319C2×C71#337011yescharacteristic
320C2×C71#337611yescharacteristic
321C2×C71#338811yescharacteristic
322C2×C71#338911yescharacteristic
323C2×#554D7111yescharacteristic
324C2×#446—711no—
325#2355—711no—
326#1993—711no—
327#1992—711no—
328#1991—711no—
329#1989—711no—
330#1989—711no—
331#1988—711no—
332#1804—711no—
333#1804—711no—
334#1802—711no—
335#1762—711no—
336#1762—711no—
337C4×#102—711no—
338C71#2252611yescharacteristic, complemented, Sylow
339#554—24no—
340#554Dic7118yescomplemented
341C2×C4⋊Q8C2×D7111yescharacteristic
342C2×#125C2×D7111yescharacteristic
343C2×#125C2×D7111yescharacteristic
344C2×C22⋊Q8—21no—
345C2×C22⋊Q8—21no—
346C2×C22⋊Q8—21no—
347C2×C4×Q8C2×D7111yescharacteristic
348C2×C4×D4C2×D7111yescharacteristic
349C2×C4×D4C2×D7111yescharacteristic
350C2×C4×D4C2×D7111yescharacteristic
351C22×C4⋊C4—21no—
352#446—1424no—
353C2×C4⋊C8—711no—
354C2×C4⋊C8—711no—
355C2×C4⋊C8—711no—
356C2×#102—711no—
357C2×#102—711no—
358C2×#102—711no—
359C2×#102—711no—
360C2×#97—711no—
361C2×#97—711no—
362C2×C4×C8—711no—
363#391—1421no—
364#387—1421no—
365#387—1421no—
366#384—711no—
367#382—711no—
368#382—711no—
369C4×C4⋊C4—711no—
370C4×C4⋊C4—711no—
371C4×C4⋊C4—711no—
372C4×C4⋊C4—1421no—
373#340—711no—
374#340—711no—
375#340—711no—
376#340—711no—
377#340—711no—
378#340—711no—
379#340—711no—
380#340—711no—
381#340—711no—
382#340—711no—
383#340—711no—
384#340—711no—
385C22×Q8—21no—
386C22×Q8C22⋊D7111yescharacteristic
387C22×D4C22×D7111yescharacteristic
388C23×C4—21no—
389C23×C4—21no—
390C23×C4—21no—
391C22×C8—711no—
392C22×C8—711no—
393C22×C8—711no—
394C22×C8—711no—
395C4⋊Q8—22no—
396C4⋊Q8C2×Dic7114yes—
397#125—22no—
398#125—22no—
399#125C2×Dic7114yes—
400#125C2×Dic7114yes—
401C22⋊Q8—28no—
402C22⋊Q8—28no—
403C22⋊Q8—28no—
404C4×Q8C2×Dic7114yes—
405C4×Q8C22⋊D7114yes—
406C4×D4—22no—
407C4×D4—22no—
408C4×D4—22no—
409C4×D4C2×Dic7114yes—
410C4×D4C2×Dic7114yes—
411C4×D4C2×Dic7114yes—
412C2×C4⋊C4—21no—
413C2×C4⋊C4—21no—
414C2×C4⋊C4—21no—
415C2×C4⋊C4—21no—
416C2×C4⋊C4—21no—
417C2×C4⋊C4—28no—
418C2×C4⋊C4—711no—
419C2×C4⋊C4—711no—
420C2×C4⋊C4—711no—
421C2×C4⋊C4—711no—
422C2×C4⋊C4—1421no—
423C2×C4⋊C4—1421no—
424C2×C4⋊C4C22⋊D7111yescharacteristic
425C2×C4⋊C4C22⋊D7111yescharacteristic
426C2×C4⋊C4C22⋊D7111yescharacteristic
427C2×C4⋊C4C22×D7111yescharacteristic
428C2×C4⋊C4C22×D7111yescharacteristic
429C2×C4⋊C4C22×D7111yescharacteristic
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C42—1421no—
434C2×C42—1421no—
435C2×C42—1421no—
436C2×C42C22×D7111yescharacteristic
437C2×C42C22×D7111yescharacteristic
438C2×C42C22×D7111yescharacteristic
439C4⋊C8—1422no—
440C4⋊C8—1422no—
441C4⋊C8—1422no—
442#102—714no—
443#102—1422no—
444#102—1422no—
445#102—1422no—
446#97—1422no—
447#97—1422no—
448C4×C8—1422no—
449#95—1421no—
450#95—1421no—
451#95—1421no—
452#95—1421no—
453#95—1421no—
454#95—1421no—
455#95—1421no—
456C24—21no—
457C2×Q8—24no—
458C2×Q8—41no—
459C2×Q8—41no—
460C2×Q8—81no—
461C2×Q8—81no—
462C2×Q8C22⋊Dic7114yes—
463C2×D4—21no—
464C2×D4—21no—
465C2×D4—21no—
466C2×D4C22×Dic7112yes—
467C2×D4Q8×D7112yes—
468C2×D4#1176586612yes—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—42no—
476C22×C4—42no—
477C22×C4—81no—
478C22×C4—81no—
479C22×C4—81no—
480C22×C4—81no—
481C22×C4—1421no—
482C22×C4—1421no—
483C22×C4—1421no—
484C22×C4—1421no—
485C22×C4C2×C22⋊D7111yescharacteristic
486C22×C4C2×C22⋊D7111yescharacteristic
487C22×C4C2×C22⋊D7111yescharacteristic
488C22×C4C2×C22⋊D7111yescharacteristic
489C22×C4C2×C22⋊D7111yescharacteristic
490C22×C4C2×C22⋊D7111yescharacteristic
491C22×C4C23×D7111yescharacteristic
492C2×C8—712no—
493C2×C8—1421no—
494C2×C8—1421no—
495C2×C8—1421no—
496C2×C8—1421no—
497C2×C8—1421no—
498C2×C8—1421no—
499C2×C8—1421no—
500C2×C8—1421no—
501C2×C8—1421no—
502C2×C8—1421no—
503C2×C8—1421no—
504C4⋊C4—21no—
505C4⋊C4—21no—
506C4⋊C4—21no—
507C4⋊C4—24no—
508C4⋊C4—24no—
509C4⋊C4—24no—
510C4⋊C4—24no—
511C4⋊C4—24no—
512C4⋊C4—2842no—
513C4⋊C4—5681no—
514C4⋊C4—712no—
515C4⋊C4—1421no—
516C4⋊C4—1421no—
517C4⋊C4—1421no—
518C4⋊C4—1421no—
519C4⋊C4—1421no—
520C4⋊C4—1421no—
521C4⋊C4—1421no—
522C4⋊C4C22⋊Dic7114yes—
523C4⋊C4C22⋊Dic7114yes—
524C4⋊C4C22⋊Dic7114yes—
525C4⋊C4C22×Dic7112yes—
526C4⋊C4C22×Dic7112yes—
527C4⋊C4C22×Dic7112yes—
528C22⋊C4—24no—
529C22⋊C4—24no—
530C22⋊C4—24no—
531C42—2842no—
532C42—5681no—
533C42—5681no—
534C42C22×Dic7112yes—
535C42C22×Dic7112yes—
536C42C22×Dic7112yes—
537C42C2×C22⋊D7112yes—
538C42C2×C22⋊D7112yes—
539C42C2×C22⋊D7112yes—
540C23—22no—
541C23—22no—
542C23—22no—
543C23—41no—
544C23—41no—
545C23—41no—
546C23—41no—
547C23C22×C22⋊D7111yescharacteristic
548Q8—44no—
549Q8—84no—
550D4—22no—
551D4—22no—
552D4—22no—
553D4Q8×Dic7114yes—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—48no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—84no—
577C2×C4—84no—
578C2×C4—2841no—
579C2×C4—2841no—
580C2×C4—2841no—
581C2×C4—2841no—
582C2×C4—2841no—
583C2×C4—2841no—
584C2×C4—2841no—
585C2×C4—2841no—
586C2×C4—2841no—
587C2×C4—2841no—
588C2×C4—2841no—
589C2×C4—1422no—
590C2×C4C2×C22⋊Dic7112yes—
591C2×C4C2×C22⋊Dic7112yes—
592C2×C4C2×C22⋊Dic7112yes—
593C2×C4C2×C22⋊Dic7112yes—
594C2×C4C2×C22⋊Dic7112yes—
595C2×C4C2×C22⋊Dic7112yes—
596C2×C4C23×Dic7111yescharacteristic
597C2×C4C22×C22⋊D7111yescharacteristic
598C2×C4C2×Q8×D7111yescharacteristic
599C2×C4C2×#1176586611yescharacteristic
600C2×C4#1455617611yescharacteristic
601C2×C4#1455617611yescharacteristic
602C8—2841no—
603C8—2841no—
604C8—2841no—
605C8—1422no—
606C22—24no—
607C22—42no—
608C22—42no—
609C22—42no—
610C22—42no—
611C22—42no—
612C22—42no—
613C22C22×C22⋊Dic7111yescharacteristic
614C22#1798666011yescharacteristic
615C22Q8×C22⋊D7111yescharacteristic
616C22#1798679711yescharacteristic
617C22#1798679711yescharacteristic
618C22#1798680211yescharacteristic
619C22#1798681011yescharacteristic
620C4—22no—
621C4—22no—
622C4—22no—
623C4—22no—
624C4—22no—
625C4—22no—
626C4—42no—
627C4—42no—
628C4—42no—
629C4—2842no—
630C4—5681no—
631C4—5681no—
632C4—5681no—
633C4C2×Q8×Dic7111yescharacteristic
634C4#1798647711yescharacteristic
635C4#1798666011yescharacteristic
636C4Q8×C22⋊D7111yescharacteristic
637C2—44no—
638C2Q8×C22⋊Dic7111yescharacteristic
639C2#2259685911yescharacteristic
640C2#2259686611yescharacteristic
641C2#2260109311yescharacteristic
642C2#2260116711yescharacteristic
643C2#2260128511yescharacteristic
644C2#2260129411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D71
commutatorC2×C4×C71C23×C4
FrattiniC22×C4C23×D71
FittingC2×#554×C71C2
socleC23×C71C22×D4
prime radicalC22×D4×C71C23
cosocleC22×C4×C71C24
hypercenterC2×#554D71
hypocenterC71#22526
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#554

Complements

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

NH ≅ G/Ntype
1. C2×#17986130C2semidirect
2. #22591297C2semidirect
3. #22589314C2semidirect
4. #22589310C2semidirect
5. #22589306C2semidirect
6. #22589298C2semidirect
7. #22589298C2semidirect
8. #22589293C2semidirect
50. #554×C71C4semidirect
81. #14556049Q8semidirect
338. C71#22526semidirect
340. #554Dic71semidirect

Maximal subgroups

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

subgroupindex
C2×#179861302
#225912972
#225893142
#225893102
#225893062
#225892982
#225892932
#225883502
#225883402
#225881652
C4×#145560492
C2×#554×C712
#2252671