Finite Group Databasebeta

← #25115709

Subgroups — #25115709

Order 11008.

854 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14582961C211yesmaximal, characteristic, complemented
2C2×#14582922C211yesmaximal, characteristic, complemented
3#19137034C211yesmaximal, characteristic
4#19135206C211yesmaximal, characteristic, complemented
5#19135201C211yesmaximal, characteristic, complemented
6#19135159C211yesmaximal, characteristic, complemented
7#19135150C211yesmaximal, characteristic, complemented
8#19134892C211yesmaximal, characteristic
9#19134890C211yesmaximal, characteristic
10#19134713C211yesmaximal, characteristic, complemented
11#19134578C211yesmaximal, characteristic, complemented
12#19134573C211yesmaximal, characteristic, complemented
13#19134453C211yesmaximal, characteristic, complemented
14#19134379C211yesmaximal, characteristic, complemented
15C43×#1753C211yesmaximal, characteristic, complemented
16C22×#10621877C2211yescharacteristic
17C2×C4×C22⋊D43C2211yescharacteristic
18C2×#13063282C2211yescharacteristic
19C22×C4×Dic43C2211yescharacteristic
20#14582961—24no—
21#14582922—24no—
22C2×Dic43⋊C8C2211yescharacteristic
23C2×Dic43⋊C8C2211yescharacteristic
24C2×Dic43⋊C8C2211yescharacteristic
25C2×Dic43⋊C8C2211yescharacteristic
26C2×Dic43⋊C8C2211yescharacteristic
27C2×Dic43⋊C8C2211yescharacteristic
28C2×C22⋊(C43⋊C8)C2211yescharacteristic
29C2×(C2×D43)⋊C8C2211yescharacteristic
30C2×(C2×D43)⋊C8C2211yescharacteristic
31C2×(C2×D43)⋊C8C2211yescharacteristic
32C2×(C2×D43)⋊C8C2211yescharacteristic
33C2×#13063236C2211yescharacteristic
34C2×C4×C43⋊C8C2211yescharacteristic
35#14582788C411yescharacteristic
36#14582788C411yescharacteristic
37#14582781C411yescharacteristic
38#14582781C411yescharacteristic
39#14582776C411yescharacteristic
40#14582776C411yescharacteristic
41#14582771C411yescharacteristic
42#14582771C411yescharacteristic
43C4×Dic43⋊C4C2211yescharacteristic
44C4×(C2×D43)⋊C4C2211yescharacteristic
45#14582745C2211yescharacteristic
46#14582654C2211yescharacteristic
47#14582654C2211yescharacteristic
48#14582653C2211yescharacteristic
49#14582653C2211yescharacteristic
50#14582653C2211yescharacteristic
51#14582653C2211yescharacteristic
52#14582653C2211yescharacteristic
53#14582653C2211yescharacteristic
54C22×M16×C43C2211yescharacteristic
55C2×C22⋊C8×C43C2211yescharacteristic
56C2×#97×C43C2211yescharacteristic
57C2×C4×C8×C43C2211yescharacteristic
58C4×C22⋊C4×C43C2211yescharacteristic
59C43×#336C2211yescharacteristic
60C43×#336C2211yescharacteristic
61C22×C22⋊D43C2×C411yescharacteristic
62C23×Dic43C2×C411yescharacteristic
63C23×Dic43C2×C411yescharacteristic
64C22×C4×D43C2311yescharacteristic
65C2×#10621877—22no—
66C2×#10621877—22no—
67C2×#10621877—41no—
68C22×C43⋊C8C2311yescharacteristic
69C22×C43⋊C8C2311yescharacteristic
70C22×C43⋊C8C2311yescharacteristic
71C22×C43⋊C8C2311yescharacteristic
72C4×C22⋊D43—22no—
73C4×C22⋊D43—22no—
74#13063282—22no—
75#13063282—22no—
76C2×Dic43⋊C4C2×C411yescharacteristic
77C2×Dic43⋊C4C2×C411yescharacteristic
78C2×Dic43⋊C4C2×C411yescharacteristic
79C2×Dic43⋊C4C2×C411yescharacteristic
80C2×Dic43⋊C4C2×C411yescharacteristic
81C2×C22⋊Dic43C2×C411yescharacteristic
82C2×(C2×D43)⋊C4C2×C411yescharacteristic
83C2×(C2×D43)⋊C4C2×C411yescharacteristic
84C2×(C2×D43)⋊C4C2×C411yescharacteristic
85C2×(C2×D43)⋊C4C2×C411yescharacteristic
86C2×(C2×D43)⋊C4C2×C411yescharacteristic
87C2×C4×Dic43—22no—
88C2×C4×Dic43—22no—
89C2×C4×Dic43C2×C411yescharacteristic
90C2×C4×Dic43C2×C411yescharacteristic
91C2×C4×Dic43C2311yescharacteristic
92C2×C4×Dic43C2311yescharacteristic
93C2×C4×Dic43C2311yescharacteristic
94Dic43⋊C8—22no—
95Dic43⋊C8—22no—
96Dic43⋊C8—22no—
97Dic43⋊C8—22no—
98Dic43⋊C8—22no—
99Dic43⋊C8D414yescomplemented
100C22⋊(C43⋊C8)—22no—
101(C2×D43)⋊C8—22no—
102(C2×D43)⋊C8—22no—
103(C2×D43)⋊C8—41no—
104(C2×D43)⋊C8—41no—
105#13063236—41no—
106C4×C43⋊C8—22no—
107C43⋊#95C2×C411yescharacteristic
108C43⋊#95C2×C411yescharacteristic
109C43⋊#95C2×C411yescharacteristic
110C43⋊#95C2×C411yescharacteristic
111C43⋊#95C2×C411yescharacteristic
112C43⋊#95C2×C411yescharacteristic
113C43⋊#95C2×C411yescharacteristic
114C43⋊#95C2×C411yescharacteristic
115C23×C4×C43C2311yescharacteristic
116C2×M16×C43—22no—
117C2×M16×C43—22no—
118C2×M16×C43—41no—
119C22×C8×C43C2311yescharacteristic
120C22×C8×C43C2311yescharacteristic
121C22×C8×C43C2311yescharacteristic
122C22×C8×C43C2311yescharacteristic
123C2×C22⋊C4×C43C2×C411yescharacteristic
124C2×C22⋊C4×C43C2×C411yescharacteristic
125C2×C42×C43C2311yescharacteristic
126C2×C42×C43C2311yescharacteristic
127C22⋊C8×C43—22no—
128#97×C43—22no—
129C4×C8×C43—41no—
130#95×C43C2×C411yescharacteristic
131#95×C43C2×C411yescharacteristic
132C24×C43C22×C411yescharacteristic
133C23×D43C22×C411yescharacteristic
134C22×C4×C43—21no—
135C22×C4×C43—21no—
136C22×C4×C43—21no—
137C22×C4×C43—21no—
138C22×C4×C43C22×C411yescharacteristic
139C22×C4×C43C22×C411yescharacteristic
140C22×C4×C43C22×C411yescharacteristic
141C22×C4×C43C22×C411yescharacteristic
142C22×C4×C43C22×C411yescharacteristic
143C22×C4×C43#4112yes—
144C22×C4×C43#4112yes—
145C22×C4×C43C2411yescharacteristic
146C2×C22⋊D43—22no—
147C2×C22⋊D43—41no—
148C2×C22⋊D43—41no—
149C22×Dic43—22no—
150C22×Dic43—22no—
151C22×Dic43—22no—
152C22×Dic43—41no—
153C22×Dic43—41no—
154C22×Dic43—41no—
155C22×Dic43C22×C411yescharacteristic
156C22×Dic43C22×C411yescharacteristic
157C22×Dic43C22×C411yescharacteristic
158C22×Dic43C22×C411yescharacteristic
159C22×Dic43C22×C411yescharacteristic
160C22×Dic43C22×C411yescharacteristic
161C22×Dic43C22×C411yescharacteristic
162C2×C4×D43—21no—
163C2×C4×D43—21no—
164C2×C4×D43—21no—
165C2×C4×D43—21no—
166C2×C4×D43—21no—
167C2×C4×D43—21no—
168M16×C43—44no—
169C2×C8×C43—21no—
170C2×C8×C43—21no—
171C2×C8×C43—21no—
172C2×C8×C43—21no—
173C2×C8×C43—21no—
174C2×C8×C43—21no—
175C2×C8×C43—21no—
176C2×C8×C43—21no—
177C2×C8×C43—21no—
178C2×C8×C43—21no—
179C2×C8×C43—21no—
180C2×C8×C43C2×D412yes—
181C22⋊C4×C43—41no—
182C22⋊C4×C43—41no—
183C42×C43—21no—
184C42×C43—21no—
185C42×C43—21no—
186C42×C43—21no—
187C22⋊Dic43—22no—
188(C2×D43)⋊C4—22no—
189(C2×D43)⋊C4—22no—
190(C2×D43)⋊C4—22no—
191(C2×D43)⋊C4—22no—
192(C2×D43)⋊C4—41no—
193Dic43⋊C4—22no—
194Dic43⋊C4—22no—
195Dic43⋊C4—22no—
196Dic43⋊C4—22no—
197Dic43⋊C4—41no—
198C4×Dic43—21no—
199C4×Dic43—21no—
200C4×Dic43—21no—
201C4×Dic43—21no—
202C4×Dic43—22no—
203C4×Dic43—22no—
204C4×Dic43C2×D412yes—
205C4×Dic43#4112yes—
206#10621877—44no—
207C2×C43⋊C8—21no—
208C2×C43⋊C8—21no—
209C2×C43⋊C8—21no—
210C2×C43⋊C8—21no—
211C2×C43⋊C8—21no—
212C2×C43⋊C8—21no—
213C2×C43⋊C8—21no—
214C2×C43⋊C8—21no—
215C2×C43⋊C8—21no—
216C2×C43⋊C8—21no—
217C2×C43⋊C8—21no—
218C2×C43⋊C8C2×D412yes—
219C23×C43—21no—
220C23×C43—21no—
221C23×C43—21no—
222C23×C43—21no—
223C23×C43—21no—
224C23×C43—21no—
225C23×C43#11712yes—
226C23×C43C23×C411yescharacteristic
227C22×D43—21no—
228C22×D43—21no—
229C22×D43—21no—
230C22×D43—21no—
231C22×D43—21no—
232C22×D43—21no—
233C22×D43—21no—
234C2×C4×C43—21no—
235C2×C4×C43—21no—
236C2×C4×C43—22no—
237C2×C4×C43—22no—
238C2×C4×C43—22no—
239C2×C4×C43—22no—
240C2×C4×C43—21no—
241C2×C4×C43—21no—
242C2×C4×C43—21no—
243C2×C4×C43—21no—
244C2×C4×C43—21no—
245C2×C4×C43—21no—
246C2×C4×C43—21no—
247C2×C4×C43—21no—
248C2×C4×C43—21no—
249C2×C4×C43—21no—
250C2×C4×C43—21no—
251C2×C4×C43—21no—
252C2×C4×C43#11712yes—
253C2×C4×C43C22×D411yescharacteristic
254C2×C4×C43C2×#4111yescharacteristic
255C2×C4×C43C2×#4111yescharacteristic
256C2×C4×C43C2×#4111yescharacteristic
257C2×C4×C43H(5,𝔽2)11yescharacteristic
258C2×C4×C432−1+411yescharacteristic
259C22⋊D43—44no—
260C2×Dic43—21no—
261C2×Dic43—21no—
262C2×Dic43—21no—
263C2×Dic43—21no—
264C2×Dic43—21no—
265C2×Dic43—21no—
266C2×Dic43—21no—
267C2×Dic43—21no—
268C2×Dic43—21no—
269C2×Dic43—21no—
270C2×Dic43—21no—
271C2×Dic43—21no—
272C2×Dic43—21no—
273C2×Dic43—21no—
274C2×Dic43—21no—
275C2×Dic43—21no—
276C2×Dic43—21no—
277C2×Dic43—21no—
278C2×Dic43—44no—
279C2×Dic43—44no—
280C2×Dic43C4×D412yes—
281C2×Dic43C4×D412yes—
282C2×Dic43#13112yes—
283C4×D43—41no—
284C4×D43—41no—
285C4×D43—41no—
286C4×D43—41no—
287C8×C43—22no—
288C8×C43—41no—
289C8×C43—41no—
290C8×C43—41no—
291C43⋊C8—22no—
292C43⋊C8—41no—
293C43⋊C8—41no—
294C43⋊C8—41no—
295#22755—431nomaximal, Sylow
296C22×C43—22no—
297C22×C43—22no—
298C22×C43—22no—
299C22×C43—41no—
300C22×C43—41no—
301C22×C43—41no—
302C22×C43—41no—
303C22×C43C2×#11711yescharacteristic
304C22×C43C2×C4×D411yescharacteristic
305C22×C43#52011yescharacteristic
306C22×C43C2×#13111yescharacteristic
307C22×C43#56811yescharacteristic
308C22×C43#56811yescharacteristic
309C22×C43#56811yescharacteristic
310C2×D43—41no—
311C2×D43—41no—
312C2×D43—41no—
313C2×D43—41no—
314C2×D43—41no—
315C2×D43—41no—
316C2×D43—41no—
317C4×C43—22no—
318C4×C43—41no—
319C4×C43—41no—
320C4×C43—41no—
321C4×C43—41no—
322C4×C43#54611yescharacteristic
323C4×C43#54811yescharacteristic
324C4×C43#55211yescharacteristic
325C4×C43#55311yescharacteristic
326Dic43—22no—
327Dic43—22no—
328Dic43—22no—
329Dic43—41no—
330Dic43—41no—
331Dic43—41no—
332Dic43—41no—
333C2×#433—431no—
334C2×#423—431no—
335#2290—431no—
336#1924—431no—
337#1923—431no—
338#1917—431no—
339#1916—431no—
340#1870—431no—
341#1870—431no—
342#1832—431no—
343#1798—431no—
344#1797—431no—
345#1768—431no—
346#1753—431no—
347#1753D4311yescharacteristic, complemented
348C2×C43—42no—
349C2×C43#235211yescharacteristic
350C2×C43#292111yescharacteristic
351C2×C43#292511yescharacteristic
352C2×C43#293011yescharacteristic
353C2×C43#293311yescharacteristic
354C2×C43#299311yescharacteristic
355C2×C43#299511yescharacteristic
356D43—81no—
357C22×M16—431no—
358C22×M16C2×D4311yescharacteristic
359C2×C4×D4—431no—
360C2×#117—431no—
361C22×C42—431no—
362#433—864no—
363#423—864no—
364C2×C4⋊C8—431no—
365C2×C4⋊C8—431no—
366C2×C4⋊C8—431no—
367C2×C4⋊C8—431no—
368C2×C4⋊C8—431no—
369C2×C4⋊C8—431no—
370C2×C22⋊C8—431no—
371C2×C22⋊C8—431no—
372C2×C22⋊C8—431no—
373C2×C22⋊C8—431no—
374C2×C22⋊C8—431no—
375C2×C22⋊C8C2×D4311yescharacteristic
376C2×#97—431no—
377C2×#97C2×D4311yescharacteristic
378C2×C4×C8—431no—
379C2×C4×C8C2×D4311yescharacteristic
380#388—431no—
381#388—431no—
382#387—431no—
383#387—431no—
384#386—431no—
385#386—431no—
386#385—431no—
387#385—431no—
388C4×C4⋊C4—431no—
389C4×C22⋊C4—431no—
390C4×C22⋊C4C2×D4311yescharacteristic
391#376—431no—
392#336—431no—
393#336—431no—
394#336—431no—
395#336—431no—
396#336—431no—
397#336—431no—
398#336—431no—
399#336—431no—
400#336C2×D4311yescharacteristic
401#336C2×D4311yescharacteristic
402C43#2275511yescharacteristic, complemented, Sylow
403C22×D4—431no—
404C23×C4—431no—
405C23×C4—431no—
406C23×C4—431no—
407C23×C4C22×D4311yescharacteristic
408C2×M16—22no—
409C2×M16—22no—
410C2×M16—41no—
411C2×M16—862no—
412C2×M16—862no—
413C2×M16—1721no—
414C22×C8—431no—
415C22×C8—431no—
416C22×C8—431no—
417C22×C8—431no—
418C22×C8C22×D4311yescharacteristic
419C22×C8C22×D4311yescharacteristic
420C22×C8C22×D4311yescharacteristic
421C22×C8C22×D4311yescharacteristic
422C4×D4—862no—
423C4×D4—862no—
424#117—862no—
425#117—862no—
426C2×C4⋊C4—431no—
427C2×C4⋊C4—431no—
428C2×C4⋊C4—431no—
429C2×C4⋊C4—431no—
430C2×C4⋊C4—431no—
431C2×C22⋊C4—431no—
432C2×C22⋊C4—431no—
433C2×C22⋊C4—431no—
434C2×C22⋊C4—431no—
435C2×C22⋊C4—431no—
436C2×C22⋊C4—431no—
437C2×C22⋊C4C4×D4311yescharacteristic
438C2×C22⋊C4C4×D4311yescharacteristic
439C2×C42—431no—
440C2×C42—431no—
441C2×C42—431no—
442C2×C42—431no—
443C2×C42—431no—
444C2×C42—862no—
445C2×C42—862no—
446C2×C42C22×D4311yescharacteristic
447C2×C42C22×D4311yescharacteristic
448C4⋊C8—434no—
449C4⋊C8—862no—
450C4⋊C8—862no—
451C4⋊C8—862no—
452C4⋊C8—862no—
453C4⋊C8—862no—
454C22⋊C8—22no—
455C22⋊C8—862no—
456C22⋊C8—862no—
457C22⋊C8—862no—
458C22⋊C8—1721no—
459C22⋊C8—1721no—
460#97—22no—
461#97—1721no—
462C4×C8—41no—
463C4×C8—862no—
464#95—431no—
465#95—431no—
466#95—431no—
467#95—431no—
468#95—431no—
469#95—431no—
470#95—431no—
471#95—431no—
472#95C4×D4311yescharacteristic
473#95C4×D4311yescharacteristic
474C24—431no—
475C24C2×C4×D4311yescharacteristic
476C2×D4—862no—
477C2×D4—1721no—
478C2×D4—1721no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—431no—
484C22×C4—431no—
485C22×C4—431no—
486C22×C4—431no—
487C22×C4—431no—
488C22×C4—431no—
489C22×C4—431no—
490C22×C4—862no—
491C22×C4—862no—
492C22×C4—862no—
493C22×C4—861no—
494C22×C4—861no—
495C22×C4—861no—
496C22×C4—861no—
497C22×C4—861no—
498C22×C4—861no—
499C22×C4—1721no—
500C22×C4—1721no—
501C22×C4—1721no—
502C22×C4C2×C4×D4311yescharacteristic
503C22×C4C2×C4×D4311yescharacteristic
504C22×C4C2×C4×D4311yescharacteristic
505C22×C4C2×C4×D4311yescharacteristic
506C22×C4C2×C4×D4311yescharacteristic
507C22×C4#1062189812yes—
508C22×C4#1062189812yes—
509C22×C4C23×D4311yescharacteristic
510M16—44no—
511M16—1724no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—432no—
524C2×C8—861no—
525C2×C8—861no—
526C2×C8—861no—
527C2×C8—861no—
528C2×C8—861no—
529C2×C8—861no—
530C2×C8—861no—
531C2×C8—861no—
532C2×C8—861no—
533C2×C8—861no—
534C2×C8—861no—
535C2×C8D4×D4312yes—
536C4⋊C4—862no—
537C4⋊C4—862no—
538C4⋊C4—862no—
539C4⋊C4—862no—
540C4⋊C4—1721no—
541C22⋊C4—41no—
542C22⋊C4—41no—
543C22⋊C4—862no—
544C22⋊C4—862no—
545C22⋊C4—862no—
546C22⋊C4—862no—
547C22⋊C4—862no—
548C22⋊C4—1721no—
549C42—21no—
550C42—21no—
551C42—21no—
552C42—21no—
553C42—432no—
554C42—432no—
555C42—862no—
556C42—862no—
557C42—861no—
558C42—861no—
559C42—861no—
560C42—861no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23—21no—
567C23—861no—
568C23—861no—
569C23—861no—
570C23—861no—
571C23—861no—
572C23—861no—
573C23—861no—
574C23#1306328212yes—
575C23C22×C4×D4311yescharacteristic
576D4—1724no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
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—432no—
596C2×C4—432no—
597C2×C4—432no—
598C2×C4—861no—
599C2×C4—861no—
600C2×C4—861no—
601C2×C4—861no—
602C2×C4—861no—
603C2×C4—861no—
604C2×C4—861no—
605C2×C4—861no—
606C2×C4—861no—
607C2×C4—861no—
608C2×C4—861no—
609C2×C4—861no—
610C2×C4—861no—
611C2×C4—861no—
612C2×C4—861no—
613C2×C4—861no—
614C2×C4—861no—
615C2×C4—861no—
616C2×C4—1724no—
617C2×C4—1724no—
618C2×C4—1721no—
619C2×C4—1721no—
620C2×C4—1721no—
621C2×C4—1721no—
622C2×C4#1306328212yes—
623C2×C4C2×D4×D4311yescharacteristic
624C2×C4#41×D4311yescharacteristic
625C2×C4C2×#1062189811yescharacteristic
626C2×C4C2×#1062189811yescharacteristic
627C2×C4#1306337011yescharacteristic
628C2×C4#1306337211yescharacteristic
629C8—22no—
630C8—41no—
631C8—41no—
632C8—41no—
633C8—862no—
634C8—1721no—
635C8—1721no—
636C8—1721no—
637C22—22no—
638C22—22no—
639C22—22no—
640C22—41no—
641C22—41no—
642C22—41no—
643C22—41no—
644C22—1721no—
645C22—1721no—
646C22—1721no—
647C22—1721no—
648C22—1721no—
649C22—1721no—
650C22—1721no—
651C22C2×#1306328211yescharacteristic
652C22C4×D4×D4311yescharacteristic
653C22#1458337811yescharacteristic
654C22#131×D4311yescharacteristic
655C22#1458366411yescharacteristic
656C22#1458366511yescharacteristic
657C22#1458366511yescharacteristic
658C4—22no—
659C4—41no—
660C4—41no—
661C4—41no—
662C4—41no—
663C4—862no—
664C4—862no—
665C4—862no—
666C4—1721no—
667C4—1721no—
668C4—1721no—
669C4—1721no—
670C4#1458353911yescharacteristic
671C4#1458355811yescharacteristic
672C4#1458358211yescharacteristic
673C4#1458359811yescharacteristic
674C2—42no—
675C2—3441no—
676C2#1913751811yescharacteristic
677C2#1914323111yescharacteristic
678C2#1914325911yescharacteristic
679C2#1914329511yescharacteristic
680C2#1914332411yescharacteristic
681C2#1914373711yescharacteristic
682C2#1914376611yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D43
commutator, socleC23×C43C23×C4
FittingC43×#1753C2
prime radicalC22×C22⋊D43C2×C4
cosocleC22×C4×C43C24
hypercenter#1753D43
hypocenterC43#22755
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ #1753

Complements

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

NH ≅ G/Ntype
1. C2×#14582961C2semidirect
2. C2×#14582922C2semidirect
4. #19135206C2semidirect
5. #19135201C2semidirect
6. #19135159C2semidirect
7. #19135150C2semidirect
10. #19134713C2semidirect
11. #19134578C2semidirect
12. #19134573C2semidirect
13. #19134453C2semidirect
14. #19134379C2semidirect
15. C43×#1753C2semidirect
99. Dic43⋊C8D4semidirect
347. #1753D43semidirect
402. C43#22755semidirect

Maximal subgroups

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

subgroupindex
C2×#145829612
C2×#145829222
#191370342
#191352062
#191352012
#191351592
#191351502
#191348922
#191348902
#191347132
#191345782
#191345732
#191344532
#191343792
C43×#17532
#2275543