Finite Group Databasebeta

← #33103269

Subgroups — #33103269

Order 18688.

1038 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17988588C211yesmaximal, characteristic
2#22612798C211yesmaximal, characteristic, complemented
3#22610624C211yesmaximal, characteristic, complemented
4#22610610C211yesmaximal, characteristic, complemented
5#22610569C211yesmaximal, characteristic, complemented
6#22610562C211yesmaximal, characteristic, complemented
7#22610192C211yesmaximal, characteristic, complemented
8#22610178C211yesmaximal, characteristic, complemented
9#22610019C211yesmaximal, characteristic, complemented
10#22609962C211yesmaximal, characteristic, complemented
11#22609871C211yesmaximal, characteristic
12#22609756C211yesmaximal, characteristic, complemented
13C4×#14556512C211yesmaximal, characteristic, complemented
14#22609715C211yesmaximal, characteristic, complemented
15C73×#2339C211yesmaximal, characteristic
16C22×#11924012C2211yescharacteristic
17C2×#14556547—21no—
18C22×C4⋊Dic73C2211yescharacteristic
19C2×#14556524C2211yescharacteristic
20C2×#14556522C2211yescharacteristic
21#17988588C418yescomplemented
22C2×#14556515C2211yescharacteristic
23C2×#14556515C2211yescharacteristic
24C2×#14556515C2211yescharacteristic
25C2×#14556515C2211yescharacteristic
26C2×#14556512C2211yescharacteristic
27C2×#14556512C2211yescharacteristic
28C2×#14556512C2211yescharacteristic
29C2×#14556512C2211yescharacteristic
30C2×C22⋊#10596831C2211yescharacteristic
31C2×#14556502C2211yescharacteristic
32C2×C4×#10596831C2211yescharacteristic
33#17988485C2211yescharacteristic
34#17988485C2211yescharacteristic
35#17988472—21no—
36#17988472—21no—
37#17988448—21no—
38#17988447C2211yescharacteristic
39C4×C4⋊Dic73C2211yescharacteristic
40C4×C4⋊Dic73C2211yescharacteristic
41#17988349C2211yescharacteristic
42#17988349C2211yescharacteristic
43#17988349C2211yescharacteristic
44#17988349C2211yescharacteristic
45#17988349C2211yescharacteristic
46#17988349C2211yescharacteristic
47#17988342C2211yescharacteristic
48#17988342C2211yescharacteristic
49C22×#41×C73C2211yescharacteristic
50C2×C4×D4×C73C2211yescharacteristic
51C2×C4×D4×C73C2211yescharacteristic
52#391×C73C2211yescharacteristic
53#391×C73C2211yescharacteristic
54#386×C73—21no—
55#386×C73—21no—
56#381×C73—21no—
57#380×C73C2211yescharacteristic
58C4×C22⋊C4×C73C2211yescharacteristic
59C2×#95×C73—21no—
60C23×Dic73—21no—
61C2×#11924012—41no—
62C2×#11924012—41no—
63C2×#11924012C2×C414yescomplemented
64C22×#10596831C2311yescharacteristic
65C22×#10596831C2311yescharacteristic
66C22×#10596831C2311yescharacteristic
67C22×#10596831C2311yescharacteristic
68#14556547—44no—
69C2×C4⋊Dic73—21no—
70C2×C4⋊Dic73—22no—
71C2×C4⋊Dic73C2×C414yescomplemented
72C2×C4⋊Dic73C2311yescharacteristic
73C2×C4⋊Dic73C2311yescharacteristic
74C2×C4⋊Dic73C2311yescharacteristic
75C2×C4⋊Dic73C2311yescharacteristic
76C2×#11924007—21no—
77C2×#11924007—21no—
78C2×C22⋊Dic73—21no—
79C2×C4×Dic73—21no—
80C2×C4×Dic73—21no—
81#14556524—41no—
82#14556522—41no—
83#14556515—41no—
84#14556515—41no—
85#14556515C2×C414yescomplemented
86#14556515C2×C414yescomplemented
87#14556512—22no—
88#14556512—22no—
89#14556512C2×C414yes—
90#14556512C2×C414yes—
91C22⋊#10596831—22no—
92#14556502—41no—
93C4×#10596831—41no—
94#14556498—21no—
95#14556498—21no—
96#14556498—21no—
97#14556498—21no—
98#14556498—21no—
99C2×#41×C73—22no—
100C2×#41×C73—22no—
101C2×#41×C73—22no—
102C2×#41×C73—41no—
103C2×#41×C73—41no—
104C2×#41×C73C2×C414yes—
105C22×Q8×C73C2311yescharacteristic
106C22×D4×C73—21no—
107C22×D4×C73C2311yescharacteristic
108C23×C4×C73—21no—
109C23×C4×C73—21no—
110C23×C4×C73—21no—
111C23×C4×C73C2311yescharacteristic
112C4×D4×C73—22no—
113C4×D4×C73—22no—
114C4×D4×C73—41no—
115C4×D4×C73—41no—
116C2×C4⋊C4×C73C2311yescharacteristic
117C2×C4⋊C4×C73C2311yescharacteristic
118C2×C22⋊C4×C73—21no—
119C2×C22⋊C4×C73—21no—
120C2×C22⋊C4×C73—21no—
121C2×C22⋊C4×C73D411yescharacteristic
122C2×C22⋊C4×C73D411yescharacteristic
123C2×C42×C73C2311yescharacteristic
124C2×C42×C73C2311yescharacteristic
125#95×C73—21no—
126#95×C73—21no—
127#95×C73—21no—
128#95×C73—21no—
129#95×C73—21no—
130#95×C73D411yescharacteristic
131#95×C73D411yescharacteristic
132C22×Dic73—24no—
133C22×Dic73—21no—
134C22×Dic73—21no—
135C22×Dic73—21no—
136C22×Dic73—21no—
137C22×Dic73—42no—
138C22×Dic73—42no—
139#11924012—44no—
140C2×#10596831—21no—
141C2×#10596831—21no—
142C2×#10596831—21no—
143C2×#10596831—21no—
144C2×#10596831—21no—
145C2×#10596831—21no—
146C2×#10596831—21no—
147C2×#10596831—21no—
148C2×#10596831—21no—
149C2×#10596831—21no—
150C2×#10596831C22×C412yes—
151C2×#10596831C22×C412yes—
152C4⋊Dic73—24no—
153C4⋊Dic73—21no—
154C4⋊Dic73—21no—
155C4⋊Dic73—21no—
156C4⋊Dic73—21no—
157C4⋊Dic73—21no—
158C4⋊Dic73—21no—
159C4⋊Dic73C22×C412yes—
160C4⋊Dic73C22×C412yes—
161#11924007—42no—
162#11924007—42no—
163C22⋊Dic73—42no—
164C4×Dic73—42no—
165C4×Dic73—42no—
166C24×C73—21no—
167C24×C73C2×D411yescharacteristic
168#41×C73—28no—
169#41×C73—44no—
170#41×C73—44no—
171#41×C73—44no—
172C2×Q8×C73—21no—
173C2×Q8×C73—21no—
174C2×Q8×C73—21no—
175C2×Q8×C73—21no—
176C2×Q8×C73—21no—
177C2×Q8×C73C22×C412yes—
178C2×D4×C73—24no—
179C2×D4×C73—21no—
180C2×D4×C73—21no—
181C2×D4×C73—21no—
182C2×D4×C73—42no—
183C2×D4×C73—42no—
184C2×D4×C73C22×C412yes—
185C2×D4×C73#4112yes—
186C2×D4×C73#4112yes—
187C22×C4×C73—21no—
188C22×C4×C73—21no—
189C22×C4×C73—21no—
190C22×C4×C73—21no—
191C22×C4×C73—21no—
192C22×C4×C73—24no—
193C22×C4×C73—21no—
194C22×C4×C73—21no—
195C22×C4×C73—42no—
196C22×C4×C73—42no—
197C22×C4×C73—42no—
198C22×C4×C73—42no—
199C22×C4×C73—42no—
200C22×C4×C73—42no—
201C22×C4×C73—81no—
202C22×C4×C73—81no—
203C22×C4×C73C22×C412yes—
204C22×C4×C73C2×D411yescharacteristic
205C22×C4×C73C2×D411yescharacteristic
206C22×C4×C73C2×D411yescharacteristic
207C22×C4×C73C2×D411yescharacteristic
208C22×C4×C73C2×D411yescharacteristic
209C22×C4×C73#4112yes—
210C22×C4×C73C2411yescharacteristic
211C4⋊C4×C73—21no—
212C4⋊C4×C73—21no—
213C4⋊C4×C73—21no—
214C4⋊C4×C73—21no—
215C22⋊C4×C73—22no—
216C22⋊C4×C73—41no—
217C22⋊C4×C73—42no—
218C22⋊C4×C73—42no—
219C22⋊C4×C73—81no—
220C42×C73—21no—
221C42×C73—21no—
222C42×C73—21no—
223C42×C73—21no—
224C23×C73—22no—
225C23×C73—22no—
226C23×C73—22no—
227C23×C73—21no—
228C23×C73—21no—
229C23×C73—21no—
230C23×C73—21no—
231C23×C73—21no—
232C23×C73—21no—
233C23×C73—41no—
234C23×C73—41no—
235C23×C73—41no—
236C23×C73—41no—
237C23×C73C4×D412yes—
238C23×C73C22×D411yescharacteristic
239Q8×C73—22no—
240Q8×C73—22no—
241Q8×C73—41no—
242Q8×C73—41no—
243D4×C73—22no—
244D4×C73—22no—
245D4×C73—22no—
246D4×C73—48no—
247D4×C73#11714yescomplemented
248C2×C4×C73—21no—
249C2×C4×C73—21no—
250C2×C4×C73—21no—
251C2×C4×C73—21no—
252C2×C4×C73—22no—
253C2×C4×C73—22no—
254C2×C4×C73—22no—
255C2×C4×C73—22no—
256C2×C4×C73—22no—
257C2×C4×C73—21no—
258C2×C4×C73—21no—
259C2×C4×C73—21no—
260C2×C4×C73—21no—
261C2×C4×C73—21no—
262C2×C4×C73—21no—
263C2×C4×C73—21no—
264C2×C4×C73—21no—
265C2×C4×C73—21no—
266C2×C4×C73—48no—
267C2×C4×C73—41no—
268C2×C4×C73—41no—
269C2×C4×C73—41no—
270C2×C4×C73—41no—
271C2×C4×C73—41no—
272C2×C4×C73—41no—
273C2×C4×C73—41no—
274C2×C4×C73—41no—
275C2×C4×C73—84no—
276C2×C4×C73—84no—
277C2×C4×C73C4×D412yes—
278C2×C4×C73AGL(1,ℤ/8)12yes—
279C2×C4×C73C23×C411yescharacteristic
280C2×C4×C73C2×#4111yescharacteristic
281C2×C4×C73C2×#4111yescharacteristic
282C2×C4×C73C2×#4111yescharacteristic
283C2×C4×C73H(5,𝔽2)11yescharacteristic
284C2×C4×C73H(5,𝔽2)11yescharacteristic
285C2×Dic73—22no—
286C2×Dic73—22no—
287C2×Dic73—48no—
288C2×Dic73—41no—
289C2×Dic73—41no—
290C2×Dic73—41no—
291C2×Dic73—41no—
292C2×Dic73—41no—
293C2×Dic73—41no—
294C2×Dic73—41no—
295C2×Dic73—41no—
296C2×Dic73—41no—
297C2×Dic73—41no—
298#10596831—22no—
299#10596831—22no—
300#10596831—41no—
301#10596831—41no—
302C22×C73—22no—
303C22×C73—24no—
304C22×C73—22no—
305C22×C73—22no—
306C22×C73—41no—
307C22×C73—42no—
308C22×C73—42no—
309C22×C73—42no—
310C22×C73—42no—
311C22×C73—41no—
312C22×C73—41no—
313C22×C73—42no—
314C22×C73—42no—
315C22×C73—41no—
316C22×C73C2×C4×D411yescharacteristic
317C22×C73#54611yescharacteristic
318C22×C73#54611yescharacteristic
319C22×C73C2×AGL(1,ℤ/8)11yescharacteristic
320C22×C73#57511yescharacteristic
321C22×C73#57711yescharacteristic
322C22×C73#57811yescharacteristic
323C4×C73—22no—
324C4×C73—22no—
325C4×C73—41no—
326C4×C73—42no—
327C4×C73—41no—
328C4×C73—41no—
329C4×C73—81no—
330C4×C73—81no—
331C4×C73C2×#11711yescharacteristic
332C4×C73#51811yescharacteristic
333C4×C73#55111yescharacteristic
334C4×C73#55111yescharacteristic
335Dic73—42no—
336Dic73—42no—
337Dic73—81no—
338Dic73—81no—
339#22582—731nomaximal, Sylow
340C2×C73—42no—
341C2×C73—44no—
342C2×C73#234211yescharacteristic
343C2×C73C4×AGL(1,ℤ/8)11yescharacteristic
344C2×C73#294711yescharacteristic
345C2×C73#330611yescharacteristic
346C2×C73#331511yescharacteristic
347C2×C73#332311yescharacteristic
348C2×C73#333011yescharacteristic
349C2×#417—731no—
350#2344—731no—
351#2339D7311yescharacteristic
352#1935—731no—
353#1933—731no—
354#1928—731no—
355#1927—731no—
356#1864—731no—
357#1862—731no—
358#1824—731no—
359#1809—731no—
360#1788—731no—
361#1762—731no—
362C4×#102—731no—
363#1753—731no—
364C73#2258211yescharacteristic, complemented, Sylow
365C22×#41C2×D7311yescharacteristic
366C22×M16—731no—
367C2×C4×D4C2×D7311yescharacteristic
368C2×C4×D4C2×D7311yescharacteristic
369C2×#117—1461no—
370C22×C4⋊C4—731no—
371C2×#107—731no—
372C2×#106—731no—
373#417—738no—
374C2×#103—731no—
375C2×#103—731no—
376C2×#103—731no—
377C2×#103—731no—
378C2×#102—731no—
379C2×#102—731no—
380C2×#102—731no—
381C2×#102—731no—
382C2×C22⋊C8—731no—
383C2×#97—731no—
384C2×C4×C8—731no—
385#391C2×D7311yescharacteristic
386#391C2×D7311yescharacteristic
387#389—731no—
388#389—731no—
389#387—1461no—
390#387—1461no—
391#386—21no—
392#386—21no—
393#381—21no—
394#381—1461no—
395#380—731no—
396#380C2×D7311yescharacteristic
397C4×C4⋊C4—731no—
398C4×C4⋊C4—731no—
399C4×C22⋊C4C2×D7311yescharacteristic
400C2×#95—21no—
401#340—731no—
402#340—731no—
403#340—731no—
404#340—731no—
405#340—731no—
406#340—731no—
407#336—731no—
408#336—731no—
409C2×#41—22no—
410C2×#41—22no—
411C2×#41—22no—
412C2×#41—41no—
413C2×#41—41no—
414C2×#41C4×D7314yes—
415C22×Q8C22×D7311yescharacteristic
416C22×D4—21no—
417C22×D4C22×D7311yescharacteristic
418C23×C4—21no—
419C23×C4—21no—
420C23×C4—21no—
421C23×C4—1461no—
422C23×C4C22×D7311yescharacteristic
423C2×M16—2921no—
424C2×M16—2921no—
425C2×M16—734no—
426C22×C8—731no—
427C22×C8—731no—
428C22×C8—731no—
429C22×C8—731no—
430C4×D4—22no—
431C4×D4—22no—
432C4×D4—41no—
433C4×D4—41no—
434#117—2924no—
435C2×C4⋊C4—734no—
436C2×C4⋊C4—731no—
437C2×C4⋊C4—731no—
438C2×C4⋊C4—731no—
439C2×C4⋊C4—731no—
440C2×C4⋊C4—1461no—
441C2×C4⋊C4—1461no—
442C2×C4⋊C4—1461no—
443C2×C4⋊C4—1462no—
444C2×C4⋊C4C22×D7311yescharacteristic
445C2×C4⋊C4C22×D7311yescharacteristic
446C2×C22⋊C4—21no—
447C2×C22⋊C4—21no—
448C2×C22⋊C4—21no—
449C2×C22⋊C4—1461no—
450C2×C22⋊C4C22⋊D7311yescharacteristic
451C2×C22⋊C4C22⋊D7311yescharacteristic
452C2×C42—1461no—
453C2×C42—1461no—
454C2×C42C22×D7311yescharacteristic
455C2×C42C22×D7311yescharacteristic
456#107—2921no—
457#106—2921no—
458#103—2921no—
459#103—2921no—
460#103—734no—
461#103—734no—
462#102—734no—
463#102—734no—
464#102—1462no—
465#102—1462no—
466C22⋊C8—1462no—
467#97—2921no—
468C4×C8—2921no—
469#95—21no—
470#95—21no—
471#95—21no—
472#95—21no—
473#95—21no—
474#95—1461no—
475#95—1461no—
476#95—1461no—
477#95—1461no—
478#95—1461no—
479#95C22⋊D7311yescharacteristic
480#95C22⋊D7311yescharacteristic
481C24—21no—
482C24C2×C22⋊D7311yescharacteristic
483#41—28no—
484#41—44no—
485#41—44no—
486#41—44no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8C2×C4×D7312yes—
493C2×D4—24no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—42no—
498C2×D4—42no—
499C2×D4C2×C4×D7312yes—
500C2×D4#1192402712yes—
501C2×D4#1192402712yes—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—24no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—81no—
517C22×C4—81no—
518C22×C4—2922no—
519C22×C4—2922no—
520C22×C4—1461no—
521C22×C4—1461no—
522C22×C4—1464no—
523C22×C4—1461no—
524C22×C4—1461no—
525C22×C4C2×C4×D7312yes—
526C22×C4C2×C22⋊D7311yescharacteristic
527C22×C4C2×C22⋊D7311yescharacteristic
528C22×C4C2×C22⋊D7311yescharacteristic
529C22×C4C2×C22⋊D7311yescharacteristic
530C22×C4C2×C22⋊D7311yescharacteristic
531C22×C4#1192402812yes—
532C22×C4C23×D7311yescharacteristic
533M16—2924no—
534C2×C8—732no—
535C2×C8—732no—
536C2×C8—1461no—
537C2×C8—1461no—
538C2×C8—1461no—
539C2×C8—1461no—
540C2×C8—1461no—
541C2×C8—1461no—
542C2×C8—1461no—
543C2×C8—1461no—
544C2×C8—1461no—
545C2×C8—1461no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—2922no—
551C4⋊C4—2922no—
552C4⋊C4—732no—
553C4⋊C4—732no—
554C4⋊C4—1461no—
555C4⋊C4—1461no—
556C4⋊C4—1461no—
557C4⋊C4—1461no—
558C4⋊C4—1464no—
559C4⋊C4—1461no—
560C4⋊C4—1461no—
561C22⋊C4—22no—
562C22⋊C4—41no—
563C22⋊C4—42no—
564C22⋊C4—42no—
565C22⋊C4—81no—
566C22⋊C4—2922no—
567C42—21no—
568C42—21no—
569C42—21no—
570C42—21no—
571C42—2922no—
572C42—2922no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—22no—
577C23—22no—
578C23—21no—
579C23—21no—
580C23—22no—
581C23—21no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23C4×C22⋊D7312yes—
587C23C22×C22⋊D7311yescharacteristic
588Q8—22no—
589Q8—22no—
590Q8—41no—
591Q8—41no—
592D4—22no—
593D4—22no—
594D4—22no—
595D4—48no—
596D4#1455654714yescomplemented
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—22no—
614C2×C4—21no—
615C2×C4—48no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—84no—
625C2×C4—84no—
626C2×C4—2928no—
627C2×C4—2921no—
628C2×C4—2921no—
629C2×C4—2921no—
630C2×C4—2921no—
631C2×C4—2921no—
632C2×C4—2921no—
633C2×C4—2921no—
634C2×C4—2921no—
635C2×C4—2921no—
636C2×C4—2921no—
637C2×C4—1462no—
638C2×C4—1462no—
639C2×C4C4×C22⋊D7312yes—
640C2×C4#1455661612yes—
641C2×C4C22×C4×D7311yescharacteristic
642C2×C4C2×#1192402711yescharacteristic
643C2×C4C2×#1192402711yescharacteristic
644C2×C4C2×#1192402811yescharacteristic
645C2×C4#1455663611yescharacteristic
646C2×C4#1455663611yescharacteristic
647C8—2921no—
648C8—2921no—
649C8—1462no—
650C8—1462no—
651C22—22no—
652C22—24no—
653C22—22no—
654C22—22no—
655C22—41no—
656C22—42no—
657C22—41no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22—42no—
662C22—41no—
663C22—42no—
664C22—41no—
665C22C2×C4×C22⋊D7311yescharacteristic
666C22#1798923111yescharacteristic
667C22#1798923111yescharacteristic
668C22C2×#1455661611yescharacteristic
669C22#1798938511yescharacteristic
670C22#1798939811yescharacteristic
671C22#1798940211yescharacteristic
672C4—22no—
673C4—22no—
674C4—41no—
675C4—42no—
676C4—41no—
677C4—41no—
678C4—81no—
679C4—81no—
680C4—2922no—
681C4—2922no—
682C4—5841no—
683C4—5841no—
684C4C2×#1455654711yescharacteristic
685C4#1798906011yescharacteristic
686C4#1798926311yescharacteristic
687C4#1798926311yescharacteristic
688C2—42no—
689C2—44no—
690C2#2261277611yescharacteristic
691C2C4×#1455661611yescharacteristic
692C2#2261877011yescharacteristic
693C2#2262189211yescharacteristic
694C2#2262202711yescharacteristic
695C2#2262214711yescharacteristic
696C2#2262223611yescharacteristic
subgroupG/H
centerC23C22×C22⋊D73
commutatorC2×C4×C73C23×C4
FrattiniC22×C4C23×D73
FittingC73×#2339C2
socleC23×C73C22×D4
prime radicalC22×#41×C73C22
cosocleC22×C4×C73C24
hypercenter#2339D73
hypocenterC73#22582
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2339

Complements

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

NH ≅ G/Ntype
2. #22612798C2semidirect
3. #22610624C2semidirect
4. #22610610C2semidirect
5. #22610569C2semidirect
6. #22610562C2semidirect
7. #22610192C2semidirect
8. #22610178C2semidirect
9. #22610019C2semidirect
10. #22609962C2semidirect
12. #22609756C2semidirect
13. C4×#14556512C2semidirect
14. #22609715C2semidirect
21. #17988588C4semidirect
63. C2×#11924012C2×C4semidirect
71. C2×C4⋊Dic73C2×C4semidirect
85. #14556515C2×C4semidirect
86. #14556515C2×C4semidirect
247. D4×C73#117semidirect
364. C73#22582semidirect
596. D4#14556547semidirect

Maximal subgroups

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

subgroupindex
C2×#179885882
#226127982
#226106242
#226106102
#226105692
#226105622
#226101922
#226101782
#226100192
#226099622
#226098712
#226097562
C4×#145565122
#226097152
C73×#23392
#2258273