Finite Group Databasebeta

← #35408554

Subgroups — #35408554

Order 21248.

838 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×#19127761C211yesmaximal, characteristic, complemented
2C2×#19127759C211yesmaximal, characteristic, complemented
3#24909926C211yesmaximal, characteristic
4#24908259C211yesmaximal, characteristic
5#24908259C211yesmaximal, characteristic
6#24908185C211yesmaximal, characteristic, complemented
7#24908183C211yesmaximal, characteristic, complemented
8#24908071C211yesmaximal, characteristic, complemented
9#24908069C211yesmaximal, characteristic, complemented
10#24908067C211yesmaximal, characteristic, complemented
11#24907311C211yesmaximal, characteristic, complemented
12#24907231C211yesmaximal, characteristic, complemented
13#24907228C211yesmaximal, characteristic, complemented
14C4×#14581702C211yesmaximal, characteristic, complemented
15C83×#1923C211yesmaximal, characteristic, complemented
16C2×C4×C22⋊D83C2211yescharacteristic
17C2×#14581751C2211yescharacteristic
18C2×#14581749C2211yescharacteristic
19#19127761—24no—
20#19127759—24no—
21C2×C4⋊(C83⋊C8)C2211yescharacteristic
22C2×Dic83⋊C8C2211yescharacteristic
23C2×Dic83⋊C8C2211yescharacteristic
24C2×Dic83⋊C8C2211yescharacteristic
25C2×Dic83⋊C8C2211yescharacteristic
26C2×C22⋊(C83⋊C8)C2211yescharacteristic
27C2×C22⋊(C83⋊C8)C2211yescharacteristic
28C2×(C2×D83)⋊C8C2211yescharacteristic
29C2×(C2×D83)⋊C8C2211yescharacteristic
30C2×(C2×D83)⋊C8C2211yescharacteristic
31C2×(C2×D83)⋊C8C2211yescharacteristic
32C2×#14581702C2211yescharacteristic
33C2×#14581702C2211yescharacteristic
34C2×#14581702C2211yescharacteristic
35C2×#14581702C2211yescharacteristic
36C2×C4×C83⋊C8C2211yescharacteristic
37C2×C8×Dic83C2211yescharacteristic
38C2×C8×Dic83C2211yescharacteristic
39#19127601C411yescharacteristic
40#19127601C411yescharacteristic
41#19127598C411yescharacteristic
42#19127598C411yescharacteristic
43#19127593C411yescharacteristic
44#19127593C411yescharacteristic
45#19127589C411yescharacteristic
46#19127589C411yescharacteristic
47C4×Dic83⋊C4C2211yescharacteristic
48C4×(C2×D83)⋊C4C2211yescharacteristic
49C42×Dic83C2211yescharacteristic
50#19127456C2211yescharacteristic
51#19127456C2211yescharacteristic
52#19127455C2211yescharacteristic
53#19127455C2211yescharacteristic
54C2×C4⋊C8×C83C2211yescharacteristic
55C2×C22⋊C8×C83C2211yescharacteristic
56C2×C22⋊C8×C83C2211yescharacteristic
57C2×C4×C8×C83C2211yescharacteristic
58C4×C22⋊C4×C83C2211yescharacteristic
59#336×C83C2211yescharacteristic
60#336×C83C2211yescharacteristic
61C22×C22⋊D83C2×C411yescharacteristic
62C22×C4×D83C2311yescharacteristic
63C22×C83⋊C8C2311yescharacteristic
64C22×C83⋊C8C2311yescharacteristic
65C22×C83⋊C8C2311yescharacteristic
66C22×C83⋊C8C2311yescharacteristic
67C4×C22⋊D83—22no—
68C4×C22⋊D83—22no—
69#14581751—22no—
70#14581751—22no—
71#14581749—22no—
72#14581749—22no—
73C2×C4⋊Dic83C2×C411yescharacteristic
74C2×C4⋊Dic83C2×C411yescharacteristic
75C2×Dic83⋊C4C2×C411yescharacteristic
76C2×Dic83⋊C4C2×C411yescharacteristic
77C2×Dic83⋊C4C2×C411yescharacteristic
78C2×Dic83⋊C4C2×C411yescharacteristic
79C2×Dic83⋊C4C2×C411yescharacteristic
80C2×C22⋊Dic83C2×C411yescharacteristic
81C2×C22⋊Dic83C2×C411yescharacteristic
82C2×C22⋊Dic83C2×C411yescharacteristic
83C2×(C2×D83)⋊C4C2×C411yescharacteristic
84C2×(C2×D83)⋊C4C2×C411yescharacteristic
85C2×(C2×D83)⋊C4C2×C411yescharacteristic
86C2×(C2×D83)⋊C4C2×C411yescharacteristic
87C2×(C2×D83)⋊C4C2×C411yescharacteristic
88C2×C4×Dic83C2×C411yescharacteristic
89C2×C4×Dic83C2×C411yescharacteristic
90C2×C4×Dic83C2×C411yescharacteristic
91C2×C4×Dic83C2×C411yescharacteristic
92C2×C4×Dic83C2311yescharacteristic
93C2×C4×Dic83C2311yescharacteristic
94C2×C4×Dic83C2311yescharacteristic
95C4⋊(C83⋊C8)—22no—
96Dic83⋊C8—22no—
97Dic83⋊C8—22no—
98Dic83⋊C8—22no—
99Dic83⋊C8—22no—
100C22⋊(C83⋊C8)—22no—
101C22⋊(C83⋊C8)—22no—
102(C2×D83)⋊C8—22no—
103(C2×D83)⋊C8—22no—
104(C2×D83)⋊C8—22no—
105(C2×D83)⋊C8—22no—
106#14581702—22no—
107#14581702—22no—
108#14581702—22no—
109#14581702D414yescomplemented
110C4×C83⋊C8—22no—
111C8×Dic83—22no—
112C8×Dic83—22no—
113C83⋊#95C2×C411yescharacteristic
114C83⋊#95C2×C411yescharacteristic
115C83⋊#95C2×C411yescharacteristic
116C83⋊#95C2×C411yescharacteristic
117C23×C4×C83C2311yescharacteristic
118C22×C8×C83C2311yescharacteristic
119C22×C8×C83C2311yescharacteristic
120C22×C8×C83C2311yescharacteristic
121C22×C8×C83C2311yescharacteristic
122C2×C22⋊C4×C83C2×C411yescharacteristic
123C2×C22⋊C4×C83C2×C411yescharacteristic
124C2×C42×C83C2311yescharacteristic
125C2×C42×C83C2311yescharacteristic
126C4⋊C8×C83—22no—
127C22⋊C8×C83—22no—
128C22⋊C8×C83—22no—
129C4×C8×C83—22no—
130#95×C83C2×C411yescharacteristic
131#95×C83C2×C411yescharacteristic
132C23×D83C22×C411yescharacteristic
133C2×C22⋊D83—22no—
134C2×C22⋊D83—41no—
135C2×C22⋊D83—41no—
136C22×Dic83C22×C411yescharacteristic
137C22×Dic83C22×C411yescharacteristic
138C22×Dic83C22×C411yescharacteristic
139C22×Dic83C22×C411yescharacteristic
140C22×Dic83C22×C411yescharacteristic
141C22×Dic83C22×C411yescharacteristic
142C22×Dic83C22×C411yescharacteristic
143C2×C4×D83—21no—
144C2×C4×D83—21no—
145C2×C4×D83—21no—
146C2×C4×D83—21no—
147C2×C4×D83—21no—
148C2×C4×D83—21no—
149C2×C83⋊C8—21no—
150C2×C83⋊C8—21no—
151C2×C83⋊C8—21no—
152C2×C83⋊C8—21no—
153C2×C83⋊C8—21no—
154C2×C83⋊C8—21no—
155C2×C83⋊C8—21no—
156C2×C83⋊C8—21no—
157C2×C83⋊C8—21no—
158C2×C83⋊C8—21no—
159C2×C83⋊C8C2×D412yes—
160C2×C83⋊C8#4112yes—
161C4⋊Dic83—22no—
162C4⋊Dic83—22no—
163Dic83⋊C4—22no—
164Dic83⋊C4—22no—
165Dic83⋊C4—22no—
166Dic83⋊C4—41no—
167Dic83⋊C4—41no—
168C22⋊Dic83—22no—
169C22⋊Dic83—22no—
170C22⋊Dic83—22no—
171(C2×D83)⋊C4—22no—
172(C2×D83)⋊C4—22no—
173(C2×D83)⋊C4—22no—
174(C2×D83)⋊C4—22no—
175(C2×D83)⋊C4—22no—
176C4×Dic83—22no—
177C4×Dic83—22no—
178C4×Dic83—21no—
179C4×Dic83—21no—
180C4×Dic83—41no—
181C4×Dic83—41no—
182C4×Dic83C2×D412yes—
183C4×Dic83#4112yes—
184C4×Dic83#4112yes—
185C4×Dic83#4112yes—
186C24×C83C22×C411yescharacteristic
187C22×C4×C83—21no—
188C22×C4×C83—21no—
189C22×C4×C83—21no—
190C22×C4×C83—21no—
191C22×C4×C83—21no—
192C22×C4×C83—21no—
193C22×C4×C83C22×C411yescharacteristic
194C22×C4×C83C22×C411yescharacteristic
195C22×C4×C83C22×C411yescharacteristic
196C22×C4×C83C22×C411yescharacteristic
197C22×C4×C83C22×C411yescharacteristic
198C22×C4×C83C2411yescharacteristic
199C2×C8×C83—21no—
200C2×C8×C83—21no—
201C2×C8×C83—21no—
202C2×C8×C83—21no—
203C2×C8×C83—21no—
204C2×C8×C83—21no—
205C2×C8×C83—21no—
206C2×C8×C83—21no—
207C2×C8×C83—21no—
208C2×C8×C83—21no—
209C2×C8×C83C2×D412yes—
210C2×C8×C83#4112yes—
211C22⋊C4×C83—22no—
212C22⋊C4×C83—22no—
213C42×C83—21no—
214C42×C83—21no—
215C42×C83—21no—
216C42×C83—21no—
217C23×C83—21no—
218C23×C83—21no—
219C23×C83—21no—
220C23×C83—21no—
221C23×C83—21no—
222C23×C83—21no—
223C23×C83—21no—
224C23×C83C23×C411yescharacteristic
225C22×D83—21no—
226C22×D83—21no—
227C22×D83—21no—
228C22×D83—21no—
229C22×D83—21no—
230C22×D83—21no—
231C22×D83—21no—
232C2×C4×C83—21no—
233C2×C4×C83—21no—
234C2×C4×C83—21no—
235C2×C4×C83—21no—
236C2×C4×C83—21no—
237C2×C4×C83—21no—
238C2×C4×C83—21no—
239C2×C4×C83—21no—
240C2×C4×C83—21no—
241C2×C4×C83—21no—
242C2×C4×C83—21no—
243C2×C4×C83—21no—
244C2×C4×C83—21no—
245C2×C4×C83—41no—
246C2×C4×C83—41no—
247C2×C4×C83—41no—
248C2×C4×C83—41no—
249C2×C4×C83#13112yes—
250C2×C4×C83#13112yes—
251C2×C4×C83C22×D411yescharacteristic
252C2×C4×C83C2×#4111yescharacteristic
253C2×C4×C83C2×#4111yescharacteristic
254C2×C4×C83C2×#4111yescharacteristic
255C2×C4×C83C2×#4111yescharacteristic
256C2×C4×C83C2×#4111yescharacteristic
257C22⋊D83—44no—
258C2×Dic83—21no—
259C2×Dic83—21no—
260C2×Dic83—21no—
261C2×Dic83—21no—
262C2×Dic83—21no—
263C2×Dic83—21no—
264C2×Dic83—21no—
265C2×Dic83—21no—
266C2×Dic83—21no—
267C2×Dic83—21no—
268C2×Dic83—21no—
269C2×Dic83—21no—
270C2×Dic83—21no—
271C2×Dic83—21no—
272C2×Dic83—21no—
273C2×Dic83—21no—
274C2×Dic83—21no—
275C2×Dic83#11712yes—
276C2×Dic83#11712yes—
277C2×Dic83C4×D412yes—
278C2×Dic83C4×D412yes—
279C4×D83—41no—
280C4×D83—41no—
281C4×D83—41no—
282C4×D83—41no—
283C8×C83—22no—
284C8×C83—22no—
285C8×C83—41no—
286C8×C83—41no—
287C83⋊C8—22no—
288C83⋊C8—22no—
289C83⋊C8—41no—
290C83⋊C8—41no—
291C22×C83—41no—
292C22×C83—41no—
293C22×C83—41no—
294C22×C83—41no—
295C22×C83—41no—
296C22×C83—41no—
297C22×C83—41no—
298C22×C83C2×#11711yescharacteristic
299C22×C83C2×C4×D411yescharacteristic
300C22×C83C4×#4111yescharacteristic
301C22×C83C2×#13111yescharacteristic
302C22×C83C2×#13111yescharacteristic
303C22×C83#56811yescharacteristic
304C22×C83#56811yescharacteristic
305C2×D83—41no—
306C2×D83—41no—
307C2×D83—41no—
308C2×D83—41no—
309C2×D83—41no—
310C2×D83—41no—
311C2×D83—41no—
312C4×C83—22no—
313C4×C83—22no—
314C4×C83—41no—
315C4×C83—41no—
316C4×C83—41no—
317C4×C83#52911yescharacteristic
318C4×C83#52911yescharacteristic
319C4×C83#53211yescharacteristic
320C4×C83#53211yescharacteristic
321Dic83—22no—
322Dic83—22no—
323Dic83—22no—
324Dic83—22no—
325Dic83—41no—
326Dic83—41no—
327Dic83—41no—
328#21269—831nomaximal, Sylow
329C2×C83—81no—
330C2×C83#229311yescharacteristic
331C2×C83#292111yescharacteristic
332C2×C83#292211yescharacteristic
333C2×C83#293511yescharacteristic
334C2×C83#293511yescharacteristic
335C2×C83#296811yescharacteristic
336C2×C83#296811yescharacteristic
337D83—81no—
338C2×#433—831no—
339C2×#433—831no—
340#2293—831no—
341#1955—831no—
342#1955—831no—
343#1940—831no—
344#1940—831no—
345#1923—831no—
346#1923—831no—
347#1923—831no—
348#1923D8311yescharacteristic, complemented
349C4×C4⋊C8—831no—
350#1750—831no—
351#1750—831no—
352C4×#97—831no—
353C83#2126911yescharacteristic, complemented, Sylow
354C2×C4×D4—831no—
355C2×#117—831no—
356C2×#117—831no—
357#433—1664no—
358#433—1664no—
359C2×C4⋊C8—831no—
360C2×C4⋊C8—831no—
361C2×C4⋊C8—831no—
362C2×C4⋊C8—831no—
363C2×C4⋊C8—831no—
364C2×C4⋊C8C2×D8311yescharacteristic
365C2×C22⋊C8—831no—
366C2×C22⋊C8—831no—
367C2×C22⋊C8—831no—
368C2×C22⋊C8—831no—
369C2×C22⋊C8—831no—
370C2×C22⋊C8—831no—
371C2×C22⋊C8C2×D8311yescharacteristic
372C2×C22⋊C8C2×D8311yescharacteristic
373C2×#97—831no—
374C2×#97—831no—
375C2×#97—831no—
376C2×#97—831no—
377C2×C4×C8—831no—
378C2×C4×C8—831no—
379C2×C4×C8—831no—
380C2×C4×C8C2×D8311yescharacteristic
381#390—831no—
382#390—831no—
383#389—831no—
384#389—831no—
385#388—831no—
386#388—831no—
387#388—831no—
388#388—831no—
389C4×C4⋊C4—831no—
390C4×C22⋊C4—831no—
391C4×C22⋊C4C2×D8311yescharacteristic
392C43—831no—
393#336—831no—
394#336—831no—
395#336—831no—
396#336—831no—
397#336C2×D8311yescharacteristic
398#336C2×D8311yescharacteristic
399C22×D4—831no—
400C23×C4—831no—
401C23×C4C22×D8311yescharacteristic
402C22×C8—831no—
403C22×C8—831no—
404C22×C8—831no—
405C22×C8—831no—
406C22×C8C22×D8311yescharacteristic
407C22×C8C22×D8311yescharacteristic
408C22×C8C22×D8311yescharacteristic
409C22×C8C22×D8311yescharacteristic
410C4×D4—1662no—
411C4×D4—1662no—
412#117—1662no—
413#117—1662no—
414#117—1662no—
415#117—1662no—
416C2×C4⋊C4—831no—
417C2×C4⋊C4—831no—
418C2×C4⋊C4—831no—
419C2×C4⋊C4—831no—
420C2×C4⋊C4—831no—
421C2×C4⋊C4—831no—
422C2×C4⋊C4—831no—
423C2×C22⋊C4—831no—
424C2×C22⋊C4—831no—
425C2×C22⋊C4—831no—
426C2×C22⋊C4—831no—
427C2×C22⋊C4—831no—
428C2×C22⋊C4—831no—
429C2×C22⋊C4—831no—
430C2×C22⋊C4—831no—
431C2×C22⋊C4C4×D8311yescharacteristic
432C2×C22⋊C4C4×D8311yescharacteristic
433C2×C42—831no—
434C2×C42—831no—
435C2×C42—831no—
436C2×C42—831no—
437C2×C42—831no—
438C2×C42—831no—
439C2×C42—831no—
440C2×C42C22×D8311yescharacteristic
441C2×C42C22×D8311yescharacteristic
442C4⋊C8—22no—
443C4⋊C8—1662no—
444C4⋊C8—1662no—
445C4⋊C8—1662no—
446C4⋊C8—1662no—
447C4⋊C8—1662no—
448C22⋊C8—22no—
449C22⋊C8—22no—
450C22⋊C8—1662no—
451C22⋊C8—1662no—
452C22⋊C8—1662no—
453C22⋊C8—1662no—
454C22⋊C8—1662no—
455C22⋊C8—1662no—
456#97—834no—
457#97—1662no—
458#97—1662no—
459#97—1662no—
460C4×C8—22no—
461C4×C8—1662no—
462C4×C8—1662no—
463C4×C8—1662no—
464#95—831no—
465#95—831no—
466#95—831no—
467#95—831no—
468#95C4×D8311yescharacteristic
469#95C4×D8311yescharacteristic
470C24—831no—
471C24C2×C4×D8311yescharacteristic
472C2×D4—3321no—
473C2×D4—3321no—
474C2×D4—1662no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—831no—
482C22×C4—831no—
483C22×C4—831no—
484C22×C4—831no—
485C22×C4—831no—
486C22×C4—831no—
487C22×C4—831no—
488C22×C4—1661no—
489C22×C4—1661no—
490C22×C4—1661no—
491C22×C4—1661no—
492C22×C4—1661no—
493C22×C4—1661no—
494C22×C4C2×C4×D8311yescharacteristic
495C22×C4C2×C4×D8311yescharacteristic
496C22×C4C2×C4×D8311yescharacteristic
497C22×C4C2×C4×D8311yescharacteristic
498C22×C4C2×C4×D8311yescharacteristic
499C22×C4C23×D8311yescharacteristic
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—832no—
511C2×C8—832no—
512C2×C8—1661no—
513C2×C8—1661no—
514C2×C8—1661no—
515C2×C8—1661no—
516C2×C8—1661no—
517C2×C8—1661no—
518C2×C8—1661no—
519C2×C8—1661no—
520C2×C8—1661no—
521C2×C8—1661no—
522C2×C8D4×D8312yes—
523C2×C8#1305058912yes—
524C4⋊C4—3321no—
525C4⋊C4—3321no—
526C4⋊C4—1662no—
527C4⋊C4—1662no—
528C4⋊C4—1662no—
529C4⋊C4—1662no—
530C4⋊C4—1662no—
531C22⋊C4—22no—
532C22⋊C4—22no—
533C22⋊C4—1662no—
534C22⋊C4—1662no—
535C22⋊C4—1662no—
536C22⋊C4—1662no—
537C22⋊C4—1662no—
538C22⋊C4—1662no—
539C22⋊C4—1662no—
540C22⋊C4—1662no—
541C42—21no—
542C42—21no—
543C42—21no—
544C42—21no—
545C42—3321no—
546C42—3321no—
547C42—832no—
548C42—832no—
549C42—832no—
550C42—832no—
551C42—1662no—
552C42—1662no—
553C42—1661no—
554C42—1661no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—1661no—
563C23—1661no—
564C23—1661no—
565C23—1661no—
566C23—1661no—
567C23—1661no—
568C23—1661no—
569C23C22×C4×D8311yescharacteristic
570D4—3324no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—3321no—
589C2×C4—3321no—
590C2×C4—3321no—
591C2×C4—3321no—
592C2×C4—832no—
593C2×C4—832no—
594C2×C4—832no—
595C2×C4—832no—
596C2×C4—1661no—
597C2×C4—1661no—
598C2×C4—1661no—
599C2×C4—1661no—
600C2×C4—1661no—
601C2×C4—1661no—
602C2×C4—1661no—
603C2×C4—1661no—
604C2×C4—1661no—
605C2×C4—1661no—
606C2×C4—1661no—
607C2×C4—1661no—
608C2×C4—1661no—
609C2×C4—1661no—
610C2×C4—1661no—
611C2×C4—1661no—
612C2×C4—1661no—
613C2×C4#1458179812yes—
614C2×C4#1458180012yes—
615C2×C4C2×D4×D8311yescharacteristic
616C2×C4#41×D8311yescharacteristic
617C2×C4#41×D8311yescharacteristic
618C2×C4#41×D8311yescharacteristic
619C2×C4#41×D8311yescharacteristic
620C2×C4C2×#1305058911yescharacteristic
621C8—22no—
622C8—22no—
623C8—41no—
624C8—41no—
625C8—3321no—
626C8—3321no—
627C8—1662no—
628C8—1662no—
629C22—41no—
630C22—41no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—41no—
635C22—41no—
636C22—3321no—
637C22—3321no—
638C22—3321no—
639C22—3321no—
640C22—3321no—
641C22—3321no—
642C22—3321no—
643C22#117×D8311yescharacteristic
644C22C4×D4×D8311yescharacteristic
645C22C4×#1305058911yescharacteristic
646C22C2×#1458179811yescharacteristic
647C22C2×#1458180011yescharacteristic
648C22#1912846611yescharacteristic
649C22#1912846611yescharacteristic
650C4—22no—
651C4—22no—
652C4—41no—
653C4—41no—
654C4—41no—
655C4—3321no—
656C4—3321no—
657C4—3321no—
658C4—1662no—
659C4—1662no—
660C4—1662no—
661C4—1662no—
662C4#1912822811yescharacteristic
663C4#1912823411yescharacteristic
664C4#1912824611yescharacteristic
665C4#1912825011yescharacteristic
666C2—81no—
667C2—6641no—
668C2#2490992311yescharacteristic
669C2#2491609711yescharacteristic
670C2#2491610211yescharacteristic
671C2#2491620211yescharacteristic
672C2#2491620811yescharacteristic
673C2#2491645111yescharacteristic
674C2#2491645811yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D83
commutator, socleC23×C83C23×C4
FittingC83×#1923C2
prime radicalC22×C22⋊D83C2×C4
cosocleC22×C4×C83C24
hypercenter#1923D83
hypocenterC83#21269
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C22×C4 ◁ #1923

Complements

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

NH ≅ G/Ntype
1. C2×#19127761C2semidirect
2. C2×#19127759C2semidirect
6. #24908185C2semidirect
7. #24908183C2semidirect
8. #24908071C2semidirect
9. #24908069C2semidirect
10. #24908067C2semidirect
11. #24907311C2semidirect
12. #24907231C2semidirect
13. #24907228C2semidirect
14. C4×#14581702C2semidirect
15. C83×#1923C2semidirect
109. #14581702D4semidirect
348. #1923D83semidirect
353. C83#21269semidirect

Maximal subgroups

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

subgroupindex
C2×#191277612
C2×#191277592
#249099262
#249082592
#249081852
#249081832
#249080712
#249080692
#249080672
#249073112
#249072312
#249072282
C4×#145817022
C83×#19232
#2126983