Finite Group Databasebeta

← #25113468

Subgroups — #25113468

Order 11008.

1054 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583030C211yesmaximal, characteristic, complemented
2#19137552C211yesmaximal, characteristic, complemented
3#19135528C211yesmaximal, characteristic
4#19135528C211yesmaximal, characteristic
5#19135519C211yesmaximal, characteristic, complemented
6#19135416C211yesmaximal, characteristic, complemented
7#19135412C211yesmaximal, characteristic
8#19135407C211yesmaximal, characteristic
9#19134610C211yesmaximal, characteristic, complemented
10#19134605C211yesmaximal, characteristic
11#19134600C211yesmaximal, characteristic, complemented
12#19134425C211yesmaximal, characteristic, complemented
13#19134420C211yesmaximal, characteristic
14C4×#13063249C211yesmaximal, characteristic, complemented
15C2×C43×#556C211yesmaximal, characteristic
16#14583030—24no—
17C2×C4⋊(C43⋊C8)C2211yescharacteristic
18C2×C4⋊(C43⋊C8)C2211yescharacteristic
19C2×C4⋊(C43⋊C8)C2211yescharacteristic
20C2×#13063249C2211yescharacteristic
21C2×#13063249C2211yescharacteristic
22C2×#13063249C2211yescharacteristic
23C2×#13063249C2211yescharacteristic
24C2×#13063249C2211yescharacteristic
25C2×#13063249C2211yescharacteristic
26C2×#13063249C2211yescharacteristic
27C2×#13063249C2211yescharacteristic
28C2×#13063246C2211yescharacteristic
29C2×#13063246C2211yescharacteristic
30C2×#13063246C2211yescharacteristic
31C2×#13063246C2211yescharacteristic
32C2×#13063236C2211yescharacteristic
33C2×#13063236C2211yescharacteristic
34C2×C4×C43⋊C8C2211yescharacteristic
35#14582806—21no—
36#14582785—21no—
37#14582785—21no—
38#14582769C2211yescharacteristic
39#14582765C2211yescharacteristic
40#14582765C2211yescharacteristic
41C4⋊C4×Dic43—21no—
42C4×C4⋊Dic43C2211yescharacteristic
43C4×C4⋊Dic43C2211yescharacteristic
44C4×C4⋊Dic43C2211yescharacteristic
45#14582661C2211yescharacteristic
46#14582661C2211yescharacteristic
47#14582661C2211yescharacteristic
48#14582661C2211yescharacteristic
49C43×#556—24no—
50C43×#556C418yescomplemented
51C2×C4⋊Q8×C43C2211yescharacteristic
52C2×#126×C43—21no—
53C2×#126×C43—21no—
54C2×#124×C43C2211yescharacteristic
55C2×#124×C43C2211yescharacteristic
56C2×C22⋊Q8×C43—21no—
57C2×C4×Q8×C43C2211yescharacteristic
58C2×C4×Q8×C43C2211yescharacteristic
59C2×C4×Q8×C43C2211yescharacteristic
60C2×C4×D4×C43C2211yescharacteristic
61C2×#117×C43—21no—
62C22×C43⋊C8C2311yescharacteristic
63C22×C43⋊C8C2311yescharacteristic
64C22×C43⋊C8C2311yescharacteristic
65C22×C43⋊C8C2311yescharacteristic
66C2×C4⋊Dic43—21no—
67C2×C4⋊Dic43—21no—
68C2×C4⋊Dic43C2311yescharacteristic
69C2×C4⋊Dic43C2311yescharacteristic
70C2×C4⋊Dic43C2311yescharacteristic
71C2×C4⋊Dic43C2311yescharacteristic
72C2×C4×Dic43—21no—
73C2×C4×Dic43—21no—
74C2×C4×Dic43—21no—
75C4⋊(C43⋊C8)—22no—
76C4⋊(C43⋊C8)—22no—
77C4⋊(C43⋊C8)—22no—
78#13063249—22no—
79#13063249—22no—
80#13063249—22no—
81#13063249—22no—
82#13063249—41no—
83#13063249—41no—
84#13063249—41no—
85#13063249—41no—
86#13063246—22no—
87#13063246—22no—
88#13063246—41no—
89#13063246—41no—
90#13063236—22no—
91#13063236—22no—
92C4×C43⋊C8—22no—
93C43⋊#95—21no—
94C43⋊#95—21no—
95C43⋊#95—21no—
96C43⋊#95—21no—
97C43⋊#95—21no—
98C43⋊#95—21no—
99C43⋊#95—21no—
100C22×Q8×C43D411yescharacteristic
101C22×Q8×C43C2311yescharacteristic
102C22×Q8×C43C2311yescharacteristic
103C22×D4×C43C2311yescharacteristic
104C23×C4×C43—21no—
105C4⋊Q8×C43—22no—
106C4⋊Q8×C43C2×C414yes—
107#126×C43—28no—
108#126×C43—28no—
109#124×C43—22no—
110#124×C43—22no—
111#124×C43C2×C414yes—
112#124×C43C2×C414yes—
113C22⋊Q8×C43—28no—
114C4×Q8×C43—22no—
115C4×Q8×C43—22no—
116C4×Q8×C43C2×C414yes—
117C4×Q8×C43C2×C414yes—
118C4×Q8×C43C2×C414yes—
119C4×Q8×C43D414yes—
120C4×D4×C43—22no—
121C4×D4×C43C2×C414yes—
122#117×C43—28no—
123C2×C4⋊C4×C43—21no—
124C2×C4⋊C4×C43—21no—
125C2×C4⋊C4×C43—21no—
126C2×C4⋊C4×C43—21no—
127C2×C4⋊C4×C43D411yescharacteristic
128C2×C4⋊C4×C43D411yescharacteristic
129C2×C4⋊C4×C43D411yescharacteristic
130C2×C4⋊C4×C43C2311yescharacteristic
131C2×C22⋊C4×C43—21no—
132C2×C22⋊C4×C43—21no—
133C2×C22⋊C4×C43—21no—
134C2×C22⋊C4×C43—21no—
135C2×C22⋊C4×C43—21no—
136C2×C42×C43—21no—
137C2×C42×C43—21no—
138C2×C42×C43C2311yescharacteristic
139C2×C42×C43C2311yescharacteristic
140C2×C42×C43C2311yescharacteristic
141C24×C43—21no—
142C2×Q8×C43—21no—
143C2×Q8×C43—21no—
144C2×Q8×C43—21no—
145C2×Q8×C43—21no—
146C2×Q8×C43—21no—
147C2×Q8×C43—21no—
148C2×Q8×C43—21no—
149C2×Q8×C43—21no—
150C2×Q8×C43—21no—
151C2×Q8×C43—21no—
152C2×Q8×C43—41no—
153C2×Q8×C43—41no—
154C2×Q8×C43C22⋊C414yes—
155C2×Q8×C43C22×C412yes—
156C2×Q8×C43C22×C412yes—
157C2×D4×C43—21no—
158C2×D4×C43—21no—
159C2×D4×C43—21no—
160C2×D4×C43—21no—
161C2×D4×C43—21no—
162C2×D4×C43C22×C412yes—
163C22×C4×C43—24no—
164C22×C4×C43—21no—
165C22×C4×C43—21no—
166C22×C4×C43—21no—
167C22×C4×C43—42no—
168C22×C4×C43—42no—
169C22×C4×C43C2×D411yescharacteristic
170C22×C4×C43C2×D411yescharacteristic
171C22×C4×C43C2×D411yescharacteristic
172C22×C4×C43C2×D411yescharacteristic
173C22×C4×C43C2×D411yescharacteristic
174C22×C4×C43C2×D411yescharacteristic
175C22×C4×C43C2411yescharacteristic
176C22×Dic43—21no—
177C22×Dic43—21no—
178C22×Dic43—21no—
179C22×Dic43—21no—
180C4⋊C4×C43—24no—
181C4⋊C4×C43—24no—
182C4⋊C4×C43—24no—
183C4⋊C4×C43—24no—
184C4⋊C4×C43—21no—
185C4⋊C4×C43C22⋊C414yes—
186C4⋊C4×C43C22⋊C414yes—
187C4⋊C4×C43C22⋊C414yes—
188C4⋊C4×C43C22×C412yes—
189C22⋊C4×C43—24no—
190C22⋊C4×C43—24no—
191C22⋊C4×C43—24no—
192C22⋊C4×C43—24no—
193C22⋊C4×C43—24no—
194C42×C43—24no—
195C42×C43—24no—
196C42×C43C22×C412yes—
197C42×C43C22×C412yes—
198C42×C43C22×C412yes—
199C42×C43C2×D412yes—
200C42×C43C2×D412yes—
201C42×C43C2×D412yes—
202C4⋊Dic43—21no—
203C4⋊Dic43—21no—
204C4⋊Dic43—21no—
205C4⋊Dic43—21no—
206C4⋊Dic43—21no—
207C4⋊Dic43—21no—
208C4⋊Dic43—21no—
209C4⋊Dic43—42no—
210C4⋊Dic43—81no—
211C4⋊Dic43#4112yes—
212C4×Dic43—42no—
213C4×Dic43—81no—
214C4×Dic43—81no—
215C2×C43⋊C8—21no—
216C2×C43⋊C8—21no—
217C2×C43⋊C8—21no—
218C2×C43⋊C8—21no—
219C2×C43⋊C8—21no—
220C2×C43⋊C8—21no—
221C2×C43⋊C8—21no—
222C2×C43⋊C8—21no—
223C2×C43⋊C8—21no—
224C2×C43⋊C8—21no—
225C2×C43⋊C8—21no—
226C2×C43⋊C8#4112yes—
227C23×C43—22no—
228C23×C43—41no—
229C23×C43—41no—
230C23×C43—41no—
231C23×C43—41no—
232C23×C43—41no—
233C23×C43—41no—
234C23×C43C22×D411yescharacteristic
235Q8×C43—22no—
236Q8×C43—22no—
237Q8×C43—22no—
238Q8×C43—22no—
239Q8×C43—44no—
240Q8×C43—41no—
241Q8×C43—41no—
242Q8×C43—41no—
243Q8×C43—41no—
244D4×C43—22no—
245D4×C43—22no—
246D4×C43—41no—
247D4×C43—41no—
248C2×C4×C43—21no—
249C2×C4×C43—21no—
250C2×C4×C43—21no—
251C2×C4×C43—21no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—21no—
256C2×C4×C43—21no—
257C2×C4×C43—21no—
258C2×C4×C43—21no—
259C2×C4×C43—21no—
260C2×C4×C43—22no—
261C2×C4×C43—22no—
262C2×C4×C43—22no—
263C2×C4×C43—48no—
264C2×C4×C43—41no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—41no—
270C2×C4×C43C2×C22⋊C412yes—
271C2×C4×C43C2×C22⋊C412yes—
272C2×C4×C43C2×C22⋊C412yes—
273C2×C4×C43C2×C22⋊C412yes—
274C2×C4×C43C2×C22⋊C412yes—
275C2×C4×C43C2×C22⋊C412yes—
276C2×C4×C43C23×C411yescharacteristic
277C2×C4×C43C22×D411yescharacteristic
278C2×C4×C43C2×#4111yescharacteristic
279C2×C4×C43C2×#4111yescharacteristic
280C2×C4×C43H(5,𝔽2)11yescharacteristic
281C2×C4×C432−1+411yescharacteristic
282C2×Dic43—22no—
283C2×Dic43—41no—
284C2×Dic43—41no—
285C2×Dic43—41no—
286C2×Dic43—41no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C43⋊C8—22no—
295C43⋊C8—41no—
296C43⋊C8—41no—
297C43⋊C8—41no—
298#22548—431nomaximal, Sylow
299C22×C43—42no—
300C22×C43—42no—
301C22×C43—42no—
302C22×C43—81no—
303C22×C43—81no—
304C22×C43—81no—
305C22×C43—81no—
306C22×C43C22×C22⋊C411yescharacteristic
307C22×C43#54811yescharacteristic
308C22×C43#55011yescharacteristic
309C22×C43#57511yescharacteristic
310C22×C43#57511yescharacteristic
311C22×C43#57711yescharacteristic
312C22×C43#57811yescharacteristic
313C4×C43—22no—
314C4×C43—22no—
315C4×C43—22no—
316C4×C43—22no—
317C4×C43—22no—
318C4×C43—22no—
319C4×C43—42no—
320C4×C43—42no—
321C4×C43—42no—
322C4×C43C4×#4111yescharacteristic
323C4×C43#52011yescharacteristic
324C4×C43#54811yescharacteristic
325C4×C43#55011yescharacteristic
326Dic43—42no—
327Dic43—81no—
328Dic43—81no—
329Dic43—81no—
330C2×#556D4311yescharacteristic
331C2×#446—431no—
332#2355—431no—
333#1983—431no—
334#1983—431no—
335#1981—431no—
336#1960—431no—
337#1959—431no—
338#1958—431no—
339#1805—431no—
340#1804—431no—
341#1803—431no—
342#1763—431no—
343#1762—431no—
344C4×#103—431no—
345C2×C43—82no—
346C2×C43#234111yescharacteristic
347C2×C43#289611yescharacteristic
348C2×C43#289811yescharacteristic
349C2×C43#337611yescharacteristic
350C2×C43#337711yescharacteristic
351C2×C43#340111yescharacteristic
352C2×C43#340211yescharacteristic
353#556—24no—
354#556Dic4318yescomplemented
355C2×C4⋊Q8C2×D4311yescharacteristic
356C2×#126—21no—
357C2×#126—21no—
358C2×#124C2×D4311yescharacteristic
359C2×#124C2×D4311yescharacteristic
360C2×C22⋊Q8—21no—
361C2×C4×Q8C2×D4311yescharacteristic
362C2×C4×Q8C2×D4311yescharacteristic
363C2×C4×Q8C2×D4311yescharacteristic
364C2×C4×D4C2×D4311yescharacteristic
365C2×#117—21no—
366#446—864no—
367C2×C4⋊C8—431no—
368C2×C4⋊C8—431no—
369C2×C4⋊C8—431no—
370C2×#103—431no—
371C2×#103—431no—
372C2×#103—431no—
373C2×#103—431no—
374C2×#103—431no—
375C2×#103—431no—
376C2×#103—431no—
377C2×#103—431no—
378C2×#102—431no—
379C2×#102—431no—
380C2×#102—431no—
381C2×#102—431no—
382C2×#97—431no—
383C2×#97—431no—
384C2×C4×C8—431no—
385#391—861no—
386#387—861no—
387#387—861no—
388#384—431no—
389#382—431no—
390#382—431no—
391C4×C4⋊C4—431no—
392C4×C4⋊C4—431no—
393C4×C4⋊C4—431no—
394C4×C4⋊C4—861no—
395#340—431no—
396#340—431no—
397#340—431no—
398#340—431no—
399C43#2254811yescharacteristic, complemented, Sylow
400C22×Q8C22⋊D4311yescharacteristic
401C22×Q8C22×D4311yescharacteristic
402C22×Q8C22×D4311yescharacteristic
403C22×D4C22×D4311yescharacteristic
404C23×C4—21no—
405C22×C8—431no—
406C22×C8—431no—
407C22×C8—431no—
408C22×C8—431no—
409C4⋊Q8—22no—
410C4⋊Q8C2×Dic4314yes—
411#126—28no—
412#126—28no—
413#124—22no—
414#124—22no—
415#124C2×Dic4314yes—
416#124C2×Dic4314yes—
417C22⋊Q8—28no—
418C4×Q8—22no—
419C4×Q8—22no—
420C4×Q8C2×Dic4314yes—
421C4×Q8C2×Dic4314yes—
422C4×Q8C2×Dic4314yes—
423C4×Q8C22⋊D4314yes—
424C4×D4—22no—
425C4×D4C2×Dic4314yes—
426#117—28no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—431no—
432C2×C4⋊C4—431no—
433C2×C4⋊C4—431no—
434C2×C4⋊C4—431no—
435C2×C4⋊C4—861no—
436C2×C4⋊C4—861no—
437C2×C4⋊C4C22⋊D4311yescharacteristic
438C2×C4⋊C4C22⋊D4311yescharacteristic
439C2×C4⋊C4C22⋊D4311yescharacteristic
440C2×C4⋊C4C22×D4311yescharacteristic
441C2×C22⋊C4—21no—
442C2×C22⋊C4—21no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—21no—
445C2×C22⋊C4—21no—
446C2×C42—21no—
447C2×C42—21no—
448C2×C42—861no—
449C2×C42—861no—
450C2×C42—861no—
451C2×C42C22×D4311yescharacteristic
452C2×C42C22×D4311yescharacteristic
453C2×C42C22×D4311yescharacteristic
454C4⋊C8—862no—
455C4⋊C8—862no—
456C4⋊C8—862no—
457#103—862no—
458#103—862no—
459#103—862no—
460#103—862no—
461#103—1721no—
462#103—1721no—
463#103—1721no—
464#103—1721no—
465#102—862no—
466#102—862no—
467#102—1721no—
468#102—1721no—
469#97—862no—
470#97—862no—
471C4×C8—862no—
472#95—861no—
473#95—861no—
474#95—861no—
475#95—861no—
476#95—861no—
477#95—861no—
478#95—861no—
479C24—21no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—21no—
485C2×Q8—21no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8—41no—
491C2×Q8—41no—
492C2×Q8C22⋊Dic4314yes—
493C2×Q8C22×Dic4312yes—
494C2×Q8C22×Dic4312yes—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4C22×Dic4312yes—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—24no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—861no—
508C22×C4—861no—
509C22×C4—861no—
510C22×C4—861no—
511C22×C4C2×C22⋊D4311yescharacteristic
512C22×C4C2×C22⋊D4311yescharacteristic
513C22×C4C2×C22⋊D4311yescharacteristic
514C22×C4C2×C22⋊D4311yescharacteristic
515C22×C4C2×C22⋊D4311yescharacteristic
516C22×C4C2×C22⋊D4311yescharacteristic
517C22×C4C23×D4311yescharacteristic
518C2×C8—432no—
519C2×C8—861no—
520C2×C8—861no—
521C2×C8—861no—
522C2×C8—861no—
523C2×C8—861no—
524C2×C8—861no—
525C2×C8—861no—
526C2×C8—861no—
527C2×C8—861no—
528C2×C8—861no—
529C2×C8—861no—
530C4⋊C4—24no—
531C4⋊C4—24no—
532C4⋊C4—24no—
533C4⋊C4—24no—
534C4⋊C4—21no—
535C4⋊C4—432no—
536C4⋊C4—861no—
537C4⋊C4—861no—
538C4⋊C4—861no—
539C4⋊C4—861no—
540C4⋊C4—861no—
541C4⋊C4—861no—
542C4⋊C4—861no—
543C4⋊C4—3441no—
544C4⋊C4—1722no—
545C4⋊C4C22⋊Dic4314yes—
546C4⋊C4C22⋊Dic4314yes—
547C4⋊C4C22⋊Dic4314yes—
548C4⋊C4C22×Dic4312yes—
549C22⋊C4—24no—
550C22⋊C4—24no—
551C22⋊C4—24no—
552C22⋊C4—24no—
553C22⋊C4—24no—
554C42—24no—
555C42—24no—
556C42—3441no—
557C42—3441no—
558C42—1722no—
559C42C22×Dic4312yes—
560C42C22×Dic4312yes—
561C42C22×Dic4312yes—
562C42C2×C22⋊D4312yes—
563C42C2×C22⋊D4312yes—
564C42C2×C22⋊D4312yes—
565C23—22no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23C22×C22⋊D4311yescharacteristic
573Q8—22no—
574Q8—22no—
575Q8—22no—
576Q8—22no—
577Q8—44no—
578Q8—41no—
579Q8—41no—
580Q8—41no—
581Q8—41no—
582D4—22no—
583D4—22no—
584D4—41no—
585D4—41no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—48no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—862no—
609C2×C4—1721no—
610C2×C4—1721no—
611C2×C4—1721no—
612C2×C4—1721no—
613C2×C4—1721no—
614C2×C4—1721no—
615C2×C4—1721no—
616C2×C4—1721no—
617C2×C4—1721no—
618C2×C4—1721no—
619C2×C4—1721no—
620C2×C4C2×C22⋊Dic4312yes—
621C2×C4C2×C22⋊Dic4312yes—
622C2×C4C2×C22⋊Dic4312yes—
623C2×C4C2×C22⋊Dic4312yes—
624C2×C4C2×C22⋊Dic4312yes—
625C2×C4C2×C22⋊Dic4312yes—
626C2×C4C23×Dic4311yescharacteristic
627C2×C4C22×C22⋊D4311yescharacteristic
628C2×C4#41×D4311yescharacteristic
629C2×C4#41×D4311yescharacteristic
630C2×C4#1306337111yescharacteristic
631C2×C4#1306337211yescharacteristic
632C8—862no—
633C8—1721no—
634C8—1721no—
635C8—1721no—
636C22—42no—
637C22—42no—
638C22—42no—
639C22—81no—
640C22—81no—
641C22—81no—
642C22—81no—
643C22C22×C22⋊Dic4311yescharacteristic
644C22#1458355611yescharacteristic
645C22#1458356811yescharacteristic
646C22#1458369711yescharacteristic
647C22#1458369711yescharacteristic
648C22#1458370711yescharacteristic
649C22#1458371411yescharacteristic
650C4—22no—
651C4—22no—
652C4—22no—
653C4—22no—
654C4—22no—
655C4—22no—
656C4—42no—
657C4—42no—
658C4—42no—
659C4—3441no—
660C4—3441no—
661C4—3441no—
662C4—1722no—
663C4#41×Dic4311yescharacteristic
664C4#1458338211yescharacteristic
665C4#1458355611yescharacteristic
666C4#1458356811yescharacteristic
667C2—82no—
668C2#1913743611yescharacteristic
669C2#1914311411yescharacteristic
670C2#1914312811yescharacteristic
671C2#1914741611yescharacteristic
672C2#1914743111yescharacteristic
673C2#1914766111yescharacteristic
674C2#1914767011yescharacteristic
subgroupG/H
centerC23C22×C22⋊D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC2×C43×#556C2
socleC23×C43C22×D4
prime radicalC22×D4×C43C23
cosocleC22×C4×C43C24
hypercenterC2×#556D43
hypocenterC43#22548
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#556

Complements

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

NH ≅ G/Ntype
1. C2×#14583030C2semidirect
2. #19137552C2semidirect
5. #19135519C2semidirect
6. #19135416C2semidirect
9. #19134610C2semidirect
11. #19134600C2semidirect
12. #19134425C2semidirect
14. C4×#13063249C2semidirect
50. C43×#556C4semidirect
354. #556Dic43semidirect
399. C43#22548semidirect

Maximal subgroups

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

subgroupindex
C2×#145830302
#191375522
#191355282
#191355192
#191354162
#191354122
#191354072
#191346102
#191346052
#191346002
#191344252
#191344202
C4×#130632492
C2×C43×#5562
#2254843