Finite Group Databasebeta

← #25131508

Subgroups — #25131508

Order 11008.

1084 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583624C211yesmaximal, characteristic, complemented
2C2×#14583102C211yesmaximal, characteristic
3C2×#14583000C211yesmaximal, characteristic
4#19139951C211yesmaximal, characteristic
5#19135840C211yesmaximal, characteristic, complemented
6#19135838C211yesmaximal, characteristic, complemented
7#19135676C211yesmaximal, characteristic
8#19135533C211yesmaximal, characteristic, complemented
9#19135413C211yesmaximal, characteristic, complemented
10#19134953C211yesmaximal, characteristic
11#19134952C211yesmaximal, characteristic
12#19134852C211yesmaximal, characteristic, complemented
13#19134851C211yesmaximal, characteristic, complemented
14#19134608C211yesmaximal, characteristic, complemented
15C43×#2013C211yesmaximal, characteristic
16C22×#10621883C2211yescharacteristic
17#14583624—24no—
18#14583624—24no—
19C2×#13063323C2211yescharacteristic
20C2×#13063323C2211yescharacteristic
21C2×#13063316—21no—
22C2×#13063315—21no—
23C2×#13063315—21no—
24C2×Q8×Dic43C2211yescharacteristic
25C2×Q8×Dic43C2211yescharacteristic
26C2×C4×Dic86C2211yescharacteristic
27C2×C4×Dic86C2211yescharacteristic
28C2×#13063290—21no—
29C2×D4×Dic43C2211yescharacteristic
30#14583102—24no—
31#14583000—24no—
32C2×#13063259C2211yescharacteristic
33C2×Dic43⋊C8C2211yescharacteristic
34C2×#13063250C2211yescharacteristic
35C2×#13063250C2211yescharacteristic
36C2×#13063249C2211yescharacteristic
37C2×#13063249C2211yescharacteristic
38C2×#13063249C2211yescharacteristic
39C2×#13063249C2211yescharacteristic
40C2×#13063248C2211yescharacteristic
41C2×#13063246C2211yescharacteristic
42C2×#13063235C2211yescharacteristic
43#14582835—21no—
44#14582811—21no—
45#14582802C2211yescharacteristic
46#14582798C2211yescharacteristic
47#14582797C2211yescharacteristic
48#14582774—21no—
49#14582771—21no—
50#14582764C2211yescharacteristic
51#14582662C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582654C2211yescharacteristic
54#14582653C2211yescharacteristic
55#14582653C2211yescharacteristic
56C22×SD16×C43C2211yescharacteristic
57C22×SD16×C43C2211yescharacteristic
58C2×C4⋊Q8×C43C2211yescharacteristic
59C2×#103×C43C2211yescharacteristic
60C2×#103×C43C2211yescharacteristic
61C43×#390C2211yescharacteristic
62C43×#336C2211yescharacteristic
63C22×Dic86D411yescharacteristic
64C22×Dic86C2311yescharacteristic
65C23×Dic43—21no—
66C2×#10621883—22no—
67C2×#10621883—22no—
68C2×#10621883—41no—
69C22×C43⋊C8C2311yescharacteristic
70C22×C43⋊C8C2311yescharacteristic
71#13063323—22no—
72#13063323—22no—
73#13063323—22no—
74#13063323D414yes—
75#13063316—28no—
76#13063315—28no—
77#13063315—28no—
78Q8×Dic43—22no—
79Q8×Dic43—22no—
80Q8×Dic43—22no—
81Q8×Dic43D414yes—
82C4×Dic86—22no—
83C4×Dic86—22no—
84C4×Dic86—22no—
85C4×Dic86—22no—
86#13063290—28no—
87D4×Dic43—22no—
88D4×Dic43—22no—
89C2×C4⋊Dic43—21no—
90C2×C4⋊Dic43—21no—
91C2×C4⋊Dic43—21no—
92C2×C4⋊Dic43D411yescharacteristic
93C2×C4⋊Dic43C2311yescharacteristic
94C2×C4⋊Dic43C2311yescharacteristic
95C2×C4⋊Dic43C2311yescharacteristic
96C2×Dic43⋊C4—21no—
97C2×Dic43⋊C4—21no—
98C2×Dic43⋊C4—21no—
99C2×Dic43⋊C4—21no—
100C2×Dic43⋊C4—21no—
101C2×Dic43⋊C4—21no—
102C2×Dic43⋊C4D411yescharacteristic
103C2×Dic43⋊C4D411yescharacteristic
104C2×C22⋊Dic43—21no—
105C2×C22⋊Dic43—21no—
106C2×C22⋊Dic43—21no—
107C2×C4×Dic43—21no—
108C2×C4×Dic43—21no—
109C2×C4×Dic43—21no—
110C2×C4×Dic43C2311yescharacteristic
111C2×C4×Dic43C2311yescharacteristic
112#13063259—22no—
113Dic43⋊C8—22no—
114#13063250—22no—
115#13063250—22no—
116#13063249—22no—
117#13063249—22no—
118#13063249—41no—
119#13063249—41no—
120#13063248—41no—
121#13063246—22no—
122#13063235—22no—
123C43⋊#95—21no—
124C43⋊#95—21no—
125C43⋊#95—21no—
126C43⋊#95—21no—
127C22×Q8×C43C2311yescharacteristic
128C22×Q8×C43C2311yescharacteristic
129C22×D4×C43C2311yescharacteristic
130C2×SD16×C43—22no—
131C2×SD16×C43—22no—
132C2×SD16×C43—22no—
133C2×SD16×C43—22no—
134C2×SD16×C43—22no—
135C2×SD16×C43—41no—
136C22×C8×C43C2311yescharacteristic
137C22×C8×C43C2311yescharacteristic
138C4⋊Q8×C43—22no—
139C4⋊Q8×C43—22no—
140C2×C4⋊C4×C43—21no—
141C2×C4⋊C4×C43—21no—
142C2×C4⋊C4×C43C2311yescharacteristic
143C2×C22⋊C4×C43—21no—
144C2×C22⋊C4×C43—21no—
145C2×C42×C43C2311yescharacteristic
146#103×C43—22no—
147#103×C43—41no—
148C24×C43—21no—
149C2×Q8×C43—21no—
150C2×Q8×C43—21no—
151C2×Q8×C43—21no—
152C2×Q8×C43—21no—
153C2×Q8×C43—21no—
154C2×Q8×C43—21no—
155C2×Q8×C43—21no—
156C2×Q8×C43—21no—
157C2×Q8×C43—21no—
158C2×Q8×C43—21no—
159C2×Q8×C43C2×D412yes—
160C2×Q8×C43C2×D412yes—
161C2×D4×C43—21no—
162C2×D4×C43—21no—
163C2×D4×C43—21no—
164C2×D4×C43—21no—
165C2×D4×C43—21no—
166C2×D4×C43#4112yes—
167C22×C4×C43—21no—
168C22×C4×C43—21no—
169C22×C4×C43—21no—
170C22×C4×C43C2×D411yescharacteristic
171C22×C4×C43C2×D411yescharacteristic
172C22×C4×C43C2411yescharacteristic
173C22×Dic43—21no—
174C22×Dic43—21no—
175C22×Dic43—21no—
176C22×Dic43—21no—
177C22×Dic43—42no—
178C22×Dic43—81no—
179C22×Dic43—81no—
180C22×Dic43C2×D411yescharacteristic
181C22×Dic43C2×D411yescharacteristic
182C22×Dic43C2×D411yescharacteristic
183C22×Dic43C2×D411yescharacteristic
184C2×Dic86—22no—
185C2×Dic86—22no—
186C2×Dic86—22no—
187C2×Dic86—21no—
188C2×Dic86—21no—
189C2×Dic86—21no—
190C2×Dic86—21no—
191C2×Dic86—21no—
192C2×Dic86C2×D412yes—
193SD16×C43—28no—
194SD16×C43—44no—
195C2×C8×C43—21no—
196C2×C8×C43—21no—
197C2×C8×C43—21no—
198C2×C8×C43—21no—
199C2×C8×C43—21no—
200C2×C8×C43#4112yes—
201C4⋊C4×C43—24no—
202C4⋊C4×C43—24no—
203C4⋊C4×C43—21no—
204C4⋊C4×C43—21no—
205C22⋊C4×C43—42no—
206C22⋊C4×C43—81no—
207C42×C43—21no—
208C42×C43—21no—
209C22⋊Dic43—42no—
210C22⋊Dic43—42no—
211C22⋊Dic43—81no—
212#10621883—44no—
213C4⋊Dic43—24no—
214C4⋊Dic43—21no—
215C4⋊Dic43—24no—
216C4⋊Dic43—22no—
217C4⋊Dic43—21no—
218C4⋊Dic43—21no—
219C4⋊Dic43—21no—
220C4⋊Dic43—21no—
221C4⋊Dic43—81no—
222C4⋊Dic43C2×D412yes—
223Dic43⋊C4—24no—
224Dic43⋊C4—24no—
225Dic43⋊C4—24no—
226Dic43⋊C4—24no—
227Dic43⋊C4—24no—
228Dic43⋊C4—22no—
229Dic43⋊C4—22no—
230Dic43⋊C4—81no—
231C4×Dic43—24no—
232C4×Dic43—24no—
233C4×Dic43—21no—
234C4×Dic43—21no—
235C4×Dic43—24no—
236C4×Dic43C2×D412yes—
237C4×Dic43C2×D412yes—
238C2×C43⋊C8—21no—
239C2×C43⋊C8—21no—
240C2×C43⋊C8—21no—
241C2×C43⋊C8—21no—
242C2×C43⋊C8—21no—
243C2×C43⋊C8—21no—
244C23×C43—22no—
245C23×C43—41no—
246C23×C43—41no—
247C23×C43—41no—
248C23×C43—41no—
249C23×C43—41no—
250C23×C43—41no—
251C23×C43C22×D411yescharacteristic
252Q8×C43—22no—
253Q8×C43—22no—
254Q8×C43—22no—
255Q8×C43—22no—
256Q8×C43—41no—
257Q8×C43—41no—
258Q8×C43—41no—
259Q8×C43—41no—
260D4×C43—22no—
261D4×C43—22no—
262D4×C43—41no—
263D4×C43—41no—
264C2×C4×C43—21no—
265C2×C4×C43—21no—
266C2×C4×C43—22no—
267C2×C4×C43—22no—
268C2×C4×C43—21no—
269C2×C4×C43—21no—
270C2×C4×C43—21no—
271C2×C4×C43—41no—
272C2×C4×C43—41no—
273C2×C4×C43—41no—
274C2×C4×C43—41no—
275C2×C4×C43—41no—
276C2×C4×C43—41no—
277C2×C4×C43—41no—
278C2×C4×C43#13712yes—
279C2×C4×C43C22×D411yescharacteristic
280C2×C4×C43C22×D411yescharacteristic
281C2×C4×C43C2×#4111yescharacteristic
282C2×C4×C43C2×#4111yescharacteristic
283C2×C4×C43H(5,𝔽2)11yescharacteristic
284C2×C4×C432−1+411yescharacteristic
285C2×Dic43—21no—
286C2×Dic43—21no—
287C2×Dic43—21no—
288C2×Dic43—21no—
289C2×Dic43—21no—
290C2×Dic43—21no—
291C2×Dic43—22no—
292C2×Dic43—22no—
293C2×Dic43—21no—
294C2×Dic43—21no—
295C2×Dic43—21no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43—41no—
300C2×Dic43—41no—
301C2×Dic43—41no—
302C2×Dic43—41no—
303C2×Dic43—41no—
304C2×Dic43—41no—
305C2×Dic43—41no—
306C2×Dic43—84no—
307C2×Dic43#12012yes—
308C2×Dic43#12012yes—
309C2×Dic43#13712yes—
310Dic86—28no—
311Dic86—22no—
312Dic86—22no—
313Dic86—41no—
314Dic86—41no—
315C8×C43—22no—
316C8×C43—41no—
317C43⋊C8—41no—
318C43⋊C8—41no—
319#24199—431nomaximal, Sylow
320C22×C43—42no—
321C22×C43—42no—
322C22×C43—42no—
323C22×C43—81no—
324C22×C43—81no—
325C22×C43—81no—
326C22×C43—81no—
327C22×C43C2×#12011yescharacteristic
328C22×C43#54811yescharacteristic
329C22×C43#55011yescharacteristic
330C22×C43C2×#13711yescharacteristic
331C22×C43C2×#13711yescharacteristic
332C22×C43#57711yescharacteristic
333C22×C43#57711yescharacteristic
334C4×C43—22no—
335C4×C43—42no—
336C4×C43—42no—
337C4×C43—41no—
338C4×C43—81no—
339C4×C43#52511yescharacteristic
340C4×C43#53711yescharacteristic
341C4×C43#54611yescharacteristic
342C4×C43#54711yescharacteristic
343Dic43—22no—
344Dic43—22no—
345Dic43—22no—
346Dic43—42no—
347Dic43—41no—
348Dic43—42no—
349Dic43—81no—
350Dic43—81no—
351C2×#557—431no—
352C2×#461—431no—
353C2×#440—431no—
354#2580—431no—
355#2043—431no—
356#2043—431no—
357#2013—431no—
358#2013D4311yescharacteristic
359#1985—431no—
360#1960—431no—
361#1880—431no—
362#1880—431no—
363#1863—431no—
364#1863—431no—
365#1805—431no—
366C2×C43—82no—
367C2×C43#240711yescharacteristic
368C2×C43#300411yescharacteristic
369C2×C43#301011yescharacteristic
370C2×C43#337211yescharacteristic
371C2×C43#337211yescharacteristic
372C2×C43#340011yescharacteristic
373C2×C43#340011yescharacteristic
374C22×SD16—431no—
375C22×SD16C2×D4311yescharacteristic
376C22×SD16C2×D4311yescharacteristic
377#557—864no—
378#557—864no—
379C2×C4⋊Q8—431no—
380C2×C4⋊Q8—431no—
381C2×C4⋊Q8C2×D4311yescharacteristic
382C2×#125—861no—
383C2×#125—861no—
384C2×#125—861no—
385C2×C4×Q8—431no—
386C2×C4×Q8—431no—
387C2×C4×Q8—431no—
388C2×C4×Q8—431no—
389C2×C4×Q8—861no—
390C2×C4×D4—431no—
391#461—864no—
392#440—864no—
393C2×#107—431no—
394C2×C4⋊C8—431no—
395C2×#103—431no—
396C2×#103—431no—
397C2×#103—431no—
398C2×#103—431no—
399C2×#103—431no—
400C2×#103—431no—
401C2×#103—431no—
402C2×#103C2×D4311yescharacteristic
403C2×#103C2×D4311yescharacteristic
404C2×#102—431no—
405C2×#97—431no—
406#399—861no—
407#393—861no—
408#390—431no—
409#390C2×D4311yescharacteristic
410#389—431no—
411#389—431no—
412#385—861no—
413#385—861no—
414#382—431no—
415#340—431no—
416#340—431no—
417#336—431no—
418#336—431no—
419#336—431no—
420#336C2×D4311yescharacteristic
421C43#2419911yescharacteristic, complemented, Sylow
422C22×Q8—431no—
423C22×Q8—431no—
424C22×Q8C22×D4311yescharacteristic
425C22×Q8C22×D4311yescharacteristic
426C22×D4C22×D4311yescharacteristic
427C23×C4—861no—
428C2×SD16—22no—
429C2×SD16—22no—
430C2×SD16—22no—
431C2×SD16—22no—
432C2×SD16—22no—
433C2×SD16—41no—
434C2×SD16—862no—
435C2×SD16—862no—
436C2×SD16—1721no—
437C22×C8—431no—
438C22×C8—431no—
439C22×C8C22×D4311yescharacteristic
440C22×C8C22×D4311yescharacteristic
441C4⋊Q8—22no—
442C4⋊Q8—22no—
443C4⋊Q8—434no—
444C4⋊Q8—862no—
445C4⋊Q8—862no—
446C4⋊Q8—862no—
447#125—868no—
448#125—868no—
449#125—868no—
450C4×Q8—434no—
451C4×Q8—862no—
452C4×Q8—862no—
453C4×Q8—862no—
454C4×Q8—862no—
455C4×Q8—862no—
456C4×Q8—868no—
457C4×Q8—862no—
458C4×Q8—862no—
459C4×D4—862no—
460C4×D4—862no—
461C2×C4⋊C4—21no—
462C2×C4⋊C4—21no—
463C2×C4⋊C4—431no—
464C2×C4⋊C4—431no—
465C2×C4⋊C4—431no—
466C2×C4⋊C4—431no—
467C2×C4⋊C4—431no—
468C2×C4⋊C4—431no—
469C2×C4⋊C4—861no—
470C2×C4⋊C4—861no—
471C2×C4⋊C4—861no—
472C2×C4⋊C4—861no—
473C2×C4⋊C4—861no—
474C2×C4⋊C4—861no—
475C2×C4⋊C4—861no—
476C2×C4⋊C4—861no—
477C2×C4⋊C4—861no—
478C2×C4⋊C4C22×D4311yescharacteristic
479C2×C22⋊C4—21no—
480C2×C22⋊C4—21no—
481C2×C22⋊C4—861no—
482C2×C22⋊C4—861no—
483C2×C22⋊C4—861no—
484C2×C42—431no—
485C2×C42—431no—
486C2×C42—861no—
487C2×C42—861no—
488C2×C42—861no—
489C2×C42C22×D4311yescharacteristic
490#107—862no—
491C4⋊C8—862no—
492#103—22no—
493#103—41no—
494#103—862no—
495#103—862no—
496#103—862no—
497#103—862no—
498#103—1721no—
499#103—1721no—
500#103—1721no—
501#102—862no—
502#97—862no—
503#95—861no—
504#95—861no—
505#95—861no—
506#95—861no—
507C24—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—21no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—432no—
519C2×Q8—862no—
520C2×Q8—862no—
521C2×Q8—862no—
522C2×Q8—861no—
523C2×Q8—861no—
524C2×Q8—861no—
525C2×Q8—861no—
526C2×Q8—861no—
527C2×Q8D4×D4312yes—
528C2×Q8D4×D4312yes—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—21no—
533C2×D4—21no—
534C2×D4#1062190012yes—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—431no—
539C22×C4—431no—
540C22×C4—431no—
541C22×C4—431no—
542C22×C4—861no—
543C22×C4—861no—
544C22×C4—861no—
545C22×C4—861no—
546C22×C4—3441no—
547C22×C4—3441no—
548C22×C4—1722no—
549C22×C4D4×D4311yescharacteristic
550C22×C4D4×D4311yescharacteristic
551C22×C4C23×D4311yescharacteristic
552SD16—28no—
553SD16—44no—
554SD16—1724no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—861no—
561C2×C8—861no—
562C2×C8—861no—
563C2×C8—861no—
564C2×C8—861no—
565C2×C8—861no—
566C2×C8#1062190012yes—
567C4⋊C4—24no—
568C4⋊C4—24no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—432no—
572C4⋊C4—862no—
573C4⋊C4—862no—
574C4⋊C4—862no—
575C4⋊C4—864no—
576C4⋊C4—864no—
577C4⋊C4—864no—
578C4⋊C4—864no—
579C4⋊C4—864no—
580C4⋊C4—864no—
581C4⋊C4—864no—
582C4⋊C4—861no—
583C4⋊C4—861no—
584C4⋊C4—861no—
585C4⋊C4—861no—
586C4⋊C4—861no—
587C4⋊C4—3441no—
588C4⋊C4—3441no—
589C22⋊C4—42no—
590C22⋊C4—81no—
591C22⋊C4—3441no—
592C22⋊C4—1722no—
593C22⋊C4—1722no—
594C42—21no—
595C42—21no—
596C42—432no—
597C42—432no—
598C42—864no—
599C42—864no—
600C42—864no—
601C42—861no—
602C42—861no—
603C23—22no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23C2×D4×D4311yescharacteristic
611Q8—22no—
612Q8—22no—
613Q8—22no—
614Q8—22no—
615Q8—41no—
616Q8—41no—
617Q8—41no—
618Q8—41no—
619Q8—868no—
620Q8—862no—
621Q8—862no—
622Q8—1721no—
623Q8—1721no—
624D4—22no—
625D4—22no—
626D4—41no—
627D4—41no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—432no—
643C2×C4—432no—
644C2×C4—432no—
645C2×C4—861no—
646C2×C4—861no—
647C2×C4—861no—
648C2×C4—861no—
649C2×C4—861no—
650C2×C4—861no—
651C2×C4—862no—
652C2×C4—861no—
653C2×C4—862no—
654C2×C4—861no—
655C2×C4—861no—
656C2×C4—3444no—
657C2×C4—1721no—
658C2×C4—1721no—
659C2×C4—1721no—
660C2×C4—1721no—
661C2×C4—1721no—
662C2×C4—1721no—
663C2×C4—1721no—
664C2×C4—1721no—
665C2×C4—1721no—
666C2×C4—1721no—
667C2×C4#1306335412yes—
668C2×C4C2×D4×D4311yescharacteristic
669C2×C4C2×D4×D4311yescharacteristic
670C2×C4C2×#1062190011yescharacteristic
671C2×C4C2×#1062190011yescharacteristic
672C2×C4#1306337011yescharacteristic
673C2×C4#1306337211yescharacteristic
674C8—22no—
675C8—41no—
676C8—1721no—
677C8—1721no—
678C22—42no—
679C22—42no—
680C22—42no—
681C22—81no—
682C22—81no—
683C22—81no—
684C22—81no—
685C22#120×D4311yescharacteristic
686C22#1458355511yescharacteristic
687C22#1458356911yescharacteristic
688C22#137×D4311yescharacteristic
689C22C2×#1306335411yescharacteristic
690C22#1458370511yescharacteristic
691C22#1458370811yescharacteristic
692C4—22no—
693C4—42no—
694C4—42no—
695C4—41no—
696C4—81no—
697C4—862no—
698C4—862no—
699C4—862no—
700C4—3441no—
701C4—3441no—
702C4—1722no—
703C4—1721no—
704C4—1722no—
705C4#1458340511yescharacteristic
706C4#1458347611yescharacteristic
707C4#1458353611yescharacteristic
708C4#1458354911yescharacteristic
709C2—82no—
710C2#1913793311yescharacteristic
711C2#1914382611yescharacteristic
712C2#1914387611yescharacteristic
713C2#1914737111yescharacteristic
714C2#1914738011yescharacteristic
715C2#1914764511yescharacteristic
716C2#1914765311yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#2013C2
socleC23×C43C22×D4
prime radicalC22×D4×C43C23
hypercenter#2013D43
hypocenterC43#24199
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #2013

Complements

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

NH ≅ G/Ntype
1. C2×#14583624C2semidirect
5. #19135840C2semidirect
6. #19135838C2semidirect
8. #19135533C2semidirect
9. #19135413C2semidirect
12. #19134852C2semidirect
13. #19134851C2semidirect
14. #19134608C2semidirect
421. C43#24199semidirect

Maximal subgroups

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

subgroupindex
C2×#145836242
C2×#145831022
C2×#145830002
#191399512
#191358402
#191358382
#191356762
#191355332
#191354132
#191349532
#191349522
#191348522
#191348512
#191346082
C43×#20132
#2419943