Finite Group Databasebeta

← #31995958

Subgroups — #31995958

Order 18176.

1206 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17986109C211yesmaximal, characteristic
2C2×#17986108C211yesmaximal, characteristic
3C2×#17986079C211yesmaximal, characteristic
4#22590701C211yesmaximal, characteristic, complemented
5#22590700C211yesmaximal, characteristic, complemented
6#22588238C211yesmaximal, characteristic, complemented
7#22588236C211yesmaximal, characteristic, complemented
8#22588228C211yesmaximal, characteristic, complemented
9#22588167C211yesmaximal, characteristic, complemented
10#22588164C211yesmaximal, characteristic, complemented
11#102×Dic71C211yesmaximal, characteristic, complemented
12C4×#14556050C211yesmaximal, characteristic, complemented
13#22588154C211yesmaximal, characteristic, complemented
14#22588026C211yesmaximal, characteristic, complemented
15C4×#102×C71C211yesmaximal, characteristic, complemented
16C22×#11765850C2211yescharacteristic
17C2×C4×D284C2211yescharacteristic
18C2×D4×Dic71C2211yescharacteristic
19C2×D4×Dic71C2211yescharacteristic
20C2×#14556090C2211yescharacteristic
21C2×#14556090C2211yescharacteristic
22#17986109C418yescomplemented
23#17986108C418yescomplemented
24#17986079C418yescomplemented
25C2×#14556061C2211yescharacteristic
26C2×#14556059C2211yescharacteristic
27C2×#14556059C2211yescharacteristic
28C2×#14556050C2211yescharacteristic
29C2×#14556050C2211yescharacteristic
30C2×#14556049C2211yescharacteristic
31C2×#14556048C2211yescharacteristic
32C2×#14556039C2211yescharacteristic
33C2×#14556038C2211yescharacteristic
34C2×#14556038C2211yescharacteristic
35C2×C8×Dic71C2211yescharacteristic
36C2×C8×Dic71C2211yescharacteristic
37C4⋊C4×Dic71C2211yescharacteristic
38C4⋊C4×Dic71C2211yescharacteristic
39C4⋊C4×Dic71C2211yescharacteristic
40C4⋊C4×Dic71C2211yescharacteristic
41C4×C4⋊Dic71C2211yescharacteristic
42C22⋊C4×Dic71—21no—
43C22⋊C4×Dic71—21no—
44C4×(C2×D71)⋊C4—21no—
45C4×(C2×D71)⋊C4—21no—
46C4×C22⋊Dic71—21no—
47#17985846—21no—
48#17985845C2211yescharacteristic
49C2×C71⋊#95—21no—
50#95×D71—21no—
51#17985762C2211yescharacteristic
52#17985762C2211yescharacteristic
53#17985761C2211yescharacteristic
54#17985761C2211yescharacteristic
55C2×C4×D4×C71C2211yescharacteristic
56C2×#102×C71C2211yescharacteristic
57C2×#102×C71C2211yescharacteristic
58C2×C4×C8×C71C2211yescharacteristic
59C4×C4⋊C4×C71C2211yescharacteristic
60#340×C71C2211yescharacteristic
61#340×C71C2211yescharacteristic
62C22×D284C2311yescharacteristic
63C23×Dic71—21no—
64C23×Dic71—21no—
65C22×C4×D71—21no—
66C22×C4×D71—21no—
67C22×C4×D71—21no—
68C2×#11765850C2×C414yes—
69C2×#11765850C2×C414yes—
70C2×#11765850C2×C414yes—
71C22×C71⋊C8C2311yescharacteristic
72C22×C71⋊C8C2311yescharacteristic
73C4×D284—22no—
74C4×D284C2×C414yescomplemented
75D4×Dic71—22no—
76D4×Dic71—22no—
77D4×Dic71C2×C414yescomplemented
78D4×Dic71C2×C414yescomplemented
79#14556090—22no—
80#14556090—22no—
81#14556090C2×C414yescomplemented
82#14556090C2×C414yescomplemented
83C2×C4⋊Dic71C2311yescharacteristic
84C2×C4⋊Dic71C2311yescharacteristic
85C2×C4⋊Dic71C2311yescharacteristic
86C2×C22⋊Dic71—21no—
87C2×C22⋊Dic71—21no—
88C2×(C2×D71)⋊C4—21no—
89C2×(C2×D71)⋊C4—21no—
90C2×(C2×D71)⋊C4—21no—
91C2×C4×Dic71—21no—
92C2×C4×Dic71—21no—
93C2×C4×Dic71—21no—
94C2×C4×Dic71—21no—
95C2×C4×Dic71—21no—
96C2×C4×Dic71C2311yescharacteristic
97C2×C4×Dic71C2311yescharacteristic
98#14556061C2×C414yescomplemented
99#14556059C2×C414yescomplemented
100#14556059C2×C414yescomplemented
101#14556050C2×C414yescomplemented
102#14556050C2×C414yescomplemented
103#14556049C2×C414yescomplemented
104#14556048C2×C414yescomplemented
105#14556039C2×C414yescomplemented
106#14556038—22no—
107#14556038C2×C414yescomplemented
108C8×Dic71—22no—
109C8×Dic71C2×C414yescomplemented
110C71⋊#95—21no—
111C71⋊#95—21no—
112C71⋊#95—21no—
113C71⋊#95—21no—
114C71⋊#95—21no—
115C71⋊#95D411yescharacteristic
116C71⋊#95D411yescharacteristic
117C71⋊#95D411yescharacteristic
118C71⋊#95D411yescharacteristic
119C22×D4×C71C2311yescharacteristic
120C23×C4×C71—21no—
121C22×C8×C71C2311yescharacteristic
122C22×C8×C71C2311yescharacteristic
123C4×D4×C71—22no—
124C4×D4×C71C2×C414yescomplemented
125C2×C4⋊C4×C71C2311yescharacteristic
126C2×C4⋊C4×C71C2311yescharacteristic
127C2×C4⋊C4×C71C2311yescharacteristic
128C2×C22⋊C4×C71—21no—
129C2×C42×C71—21no—
130C2×C42×C71C2311yescharacteristic
131#102×C71C2×C414yescomplemented
132#102×C71C2×C414yescomplemented
133C4×C8×C71—22no—
134#95×C71—21no—
135C23×D71—21no—
136C2×D284—21no—
137C2×D284—21no—
138C2×D284—21no—
139C2×D284C22×C412yes—
140C2×D284C22×C412yes—
141C2×D284C22×C412yes—
142C22×Dic71—21no—
143C22×Dic71—21no—
144C22×Dic71—21no—
145C22×Dic71—24no—
146C22×Dic71—24no—
147C22×Dic71—81no—
148C22×Dic71—81no—
149C22×Dic71—81no—
150C22×Dic71—81no—
151C22×Dic71C2×D411yescharacteristic
152C22×Dic71C2×D411yescharacteristic
153C22×Dic71C2×D411yescharacteristic
154C22×Dic71C2×D411yescharacteristic
155C2×C4×D71—24no—
156C2×C4×D71—24no—
157C2×C4×D71—24no—
158C2×C4×D71—81no—
159C2×C4×D71—81no—
160C2×C4×D71—81no—
161C2×C4×D71—81no—
162C2×C4×D71—81no—
163C2×C4×D71—81no—
164#11765850C42116yescomplemented
165C2×C71⋊C8—21no—
166C2×C71⋊C8—21no—
167C2×C71⋊C8C22×C412yes—
168C2×C71⋊C8C22×C412yes—
169C2×C71⋊C8C22×C412yes—
170C2×C71⋊C8C22×C412yes—
171C4⋊Dic71—21no—
172C4⋊Dic71—21no—
173C4⋊Dic71—21no—
174C4⋊Dic71C22×C412yes—
175C4⋊Dic71C22×C412yes—
176C4⋊Dic71C22×C412yes—
177C22⋊Dic71—24no—
178C22⋊Dic71—24no—
179(C2×D71)⋊C4—24no—
180(C2×D71)⋊C4—24no—
181(C2×D71)⋊C4—24no—
182C4×Dic71—81no—
183C4×Dic71—81no—
184C4×Dic71—81no—
185C4×Dic71—81no—
186C4×Dic71—81no—
187C4×Dic71C22×C412yes—
188C4×Dic71C22×C412yes—
189C4×Dic71#4112yes—
190C4×Dic71#4112yes—
191C24×C71—21no—
192C2×D4×C71—21no—
193C2×D4×C71—21no—
194C2×D4×C71—21no—
195C2×D4×C71C22×C412yes—
196C2×D4×C71C22×C412yes—
197C2×D4×C71C22×C412yes—
198C22×C4×C71—21no—
199C22×C4×C71—21no—
200C22×C4×C71—21no—
201C22×C4×C71—24no—
202C22×C4×C71—81no—
203C22×C4×C71—81no—
204C22×C4×C71C2×D411yescharacteristic
205C22×C4×C71C2×D411yescharacteristic
206C22×C4×C71C2411yescharacteristic
207C2×C8×C71—21no—
208C2×C8×C71—21no—
209C2×C8×C71—21no—
210C2×C8×C71—21no—
211C2×C8×C71C22×C412yes—
212C2×C8×C71C22×C412yes—
213C4⋊C4×C71—21no—
214C4⋊C4×C71—21no—
215C4⋊C4×C71—21no—
216C4⋊C4×C71C22×C412yes—
217C4⋊C4×C71C22×C412yes—
218C4⋊C4×C71C22×C412yes—
219C22⋊C4×C71—24no—
220C42×C71—81no—
221C42×C71C22×C412yes—
222C42×C71#4112yes—
223C23×C71—22no—
224C23×C71—22no—
225C23×C71—22no—
226C23×C71—41no—
227C23×C71—41no—
228C23×C71—41no—
229C23×C71—41no—
230C23×C71C22×D411yescharacteristic
231C22×D71—22no—
232C22×D71—22no—
233C22×D71—22no—
234C22×D71—41no—
235C22×D71—41no—
236C22×D71—41no—
237C22×D71—41no—
238D4×C71—22no—
239D4×C71—22no—
240D4×C71—22no—
241D4×C71C2×C4214yes—
242C2×C4×C71—21no—
243C2×C4×C71—21no—
244C2×C4×C71—21no—
245C2×C4×C71—21no—
246C2×C4×C71—22no—
247C2×C4×C71—22no—
248C2×C4×C71—22no—
249C2×C4×C71—41no—
250C2×C4×C71—41no—
251C2×C4×C71—41no—
252C2×C4×C71—41no—
253C2×C4×C71—41no—
254C2×C4×C71—41no—
255C2×C4×C71—84no—
256C2×C4×C71C4×D412yes—
257C2×C4×C71C4×D412yes—
258C2×C4×C71C23×C411yescharacteristic
259C2×C4×C71C23×C411yescharacteristic
260C2×C4×C71C23×C411yescharacteristic
261C2×C4×C71C2×#4111yescharacteristic
262C2×C4×C71C2×#4111yescharacteristic
263C2×C4×C71C2×#4111yescharacteristic
264C2×Dic71—21no—
265C2×Dic71—21no—
266C2×Dic71—21no—
267C2×Dic71—21no—
268C2×Dic71—21no—
269C2×Dic71—21no—
270C2×Dic71—21no—
271C2×Dic71—21no—
272C2×Dic71—22no—
273C2×Dic71—22no—
274C2×Dic71—22no—
275C2×Dic71—41no—
276C2×Dic71—41no—
277C2×Dic71—41no—
278C2×Dic71—41no—
279C2×Dic71—41no—
280C2×Dic71—41no—
281C2×Dic71—84no—
282C2×Dic71—84no—
283C2×Dic71C4×D412yes—
284C2×Dic71C4×D412yes—
285C2×Dic71C4×D412yes—
286C2×Dic71C4×D412yes—
287D284—22no—
288D284—22no—
289D284—22no—
290D284C2×C4214yes—
291C4×D71—84no—
292C4×D71—84no—
293C4×D71—84no—
294C8×C71—22no—
295C8×C71—22no—
296C71⋊C8—22no—
297C71⋊C8C2×C4214yes—
298C22×C71—24no—
299C22×C71—42no—
300C22×C71—42no—
301C22×C71—42no—
302C22×C71—42no—
303C22×C71—42no—
304C22×C71—42no—
305C22×C71C2×C4×D411yescharacteristic
306C22×C71C2×C4×D411yescharacteristic
307C22×C71C2×C4×D411yescharacteristic
308C22×C71#57611yescharacteristic
309C22×C71#57611yescharacteristic
310C22×C71#57711yescharacteristic
311C22×C71#57711yescharacteristic
312C2×D71—24no—
313C2×D71—42no—
314C2×D71—42no—
315C2×D71—42no—
316C2×D71—42no—
317C2×D71—42no—
318C2×D71—42no—
319C4×C71—22no—
320C4×C71—22no—
321C4×C71—42no—
322C4×C71—42no—
323C4×C71—42no—
324C4×C71C22×C4211yescharacteristic
325C4×C71C4×#4111yescharacteristic
326C4×C71C4×#4111yescharacteristic
327C4×C71C4×#4111yescharacteristic
328Dic71—22no—
329Dic71—22no—
330Dic71—22no—
331Dic71—22no—
332Dic71—42no—
333Dic71—42no—
334Dic71—42no—
335#20503—711nomaximal, Sylow
336C2×C71—44no—
337C2×C71C42×D411yescharacteristic
338C2×C71#294611yescharacteristic
339C2×C71#294611yescharacteristic
340C2×C71#294611yescharacteristic
341C2×C71#294611yescharacteristic
342C2×C71#294811yescharacteristic
343C2×C71#295211yescharacteristic
344D71—44no—
345C2×#442—711no—
346C2×#442—711no—
347C2×C4×D8—711no—
348#2275—711no—
349#2275—711no—
350#1776—711no—
351#1776—711no—
352C4×#106—711no—
353#1762—711no—
354#1762—711no—
355C4×#102—711no—
356C4×#102—711no—
357C4×#102—711no—
358C4×#102D7111yescharacteristic, complemented
359#1726—711no—
360C71#2050311yescharacteristic, complemented, Sylow
361C22×D8—711no—
362C2×C4×D4—711no—
363C2×C4×D4—711no—
364C2×C4×D4—711no—
365C2×C4×D4—711no—
366C2×C4×D4—711no—
367C2×C4×D4C2×D7111yescharacteristic
368#442—718no—
369#442—718no—
370C4×D8—718no—
371C2×#107—711no—
372C2×#106—711no—
373C2×#106—711no—
374C2×#102—711no—
375C2×#102—711no—
376C2×#102—711no—
377C2×#102—711no—
378C2×#102C2×D7111yescharacteristic
379C2×#102C2×D7111yescharacteristic
380C2×#97—711no—
381C2×#97—711no—
382C2×#97—711no—
383C2×C4×C8—711no—
384C2×C4×C8—711no—
385C2×C4×C8C2×D7111yescharacteristic
386C4×C4⋊C4—711no—
387C4×C4⋊C4—711no—
388C4×C4⋊C4—711no—
389C4×C4⋊C4—711no—
390C4×C4⋊C4—711no—
391C4×C4⋊C4C2×D7111yescharacteristic
392C4×C22⋊C4—1421no—
393C4×C22⋊C4—1421no—
394C4×C22⋊C4—1421no—
395C4×C22⋊C4—1421no—
396C4×C22⋊C4—1421no—
397C4×C22⋊C4—1421no—
398#376—711no—
399C2×#95—1421no—
400C2×#95—1421no—
401#340—711no—
402#340—711no—
403#340—711no—
404#340—711no—
405#340C2×D7111yescharacteristic
406#340C2×D7111yescharacteristic
407C22×D4—711no—
408C22×D4C22×D7111yescharacteristic
409C23×C4—21no—
410C23×C4—1421no—
411C23×C4—1421no—
412C23×C4—1421no—
413C23×C4—1421no—
414C23×C4—1421no—
415C2×D8—714no—
416C2×D8—714no—
417C2×D8—714no—
418C22×C8—711no—
419C22×C8—711no—
420C22×C8C22×D7111yescharacteristic
421C22×C8C22×D7111yescharacteristic
422C4×D4—22no—
423C4×D4—714no—
424C4×D4—714no—
425C4×D4—714no—
426C4×D4—714no—
427C4×D4—714no—
428C4×D4—1422no—
429C4×D4—1422no—
430C4×D4—1422no—
431C4×D4—1422no—
432C4×D4—1422no—
433C4×D4C4×D7114yescomplemented
434C2×C4⋊C4—711no—
435C2×C4⋊C4—711no—
436C2×C4⋊C4—711no—
437C2×C4⋊C4C22×D7111yescharacteristic
438C2×C4⋊C4C22×D7111yescharacteristic
439C2×C4⋊C4C22×D7111yescharacteristic
440C2×C22⋊C4—21no—
441C2×C22⋊C4—1421no—
442C2×C22⋊C4—1421no—
443C2×C22⋊C4—1421no—
444C2×C22⋊C4—1421no—
445C2×C22⋊C4—1421no—
446C2×C42—21no—
447C2×C42—711no—
448C2×C42—711no—
449C2×C42—1421no—
450C2×C42—1421no—
451C2×C42—1421no—
452C2×C42—1421no—
453C2×C42—1421no—
454C2×C42C22×D7111yescharacteristic
455#107—714no—
456#106—714no—
457#106—714no—
458#102—714no—
459#102—714no—
460#102—714no—
461#102—714no—
462#102C4×D7114yescomplemented
463#102C4×D7114yescomplemented
464#97—714no—
465#97—714no—
466#97—1422no—
467C4×C8—22no—
468C4×C8—714no—
469C4×C8—1422no—
470#95—21no—
471#95—711no—
472#95—711no—
473#95—711no—
474#95—711no—
475#95—1421no—
476#95—1421no—
477#95—1421no—
478#95—1421no—
479#95—1421no—
480C24—21no—
481C24—1421no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—712no—
486C2×D4—712no—
487C2×D4—712no—
488C2×D4—1421no—
489C2×D4—1421no—
490C2×D4—1421no—
491C2×D4C2×C4×D7112yes—
492C2×D4C2×C4×D7112yes—
493C2×D4C2×C4×D7112yes—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—24no—
498C22×C4—81no—
499C22×C4—81no—
500C22×C4—5681no—
501C22×C4—5681no—
502C22×C4—5681no—
503C22×C4—5681no—
504C22×C4—5681no—
505C22×C4—5681no—
506C22×C4—5681no—
507C22×C4—5681no—
508C22×C4—5681no—
509C22×C4—5681no—
510C22×C4—711no—
511C22×C4—711no—
512C22×C4—711no—
513C22×C4—711no—
514C22×C4—1424no—
515C22×C4—1424no—
516C22×C4—1421no—
517C22×C4—1421no—
518C22×C4—1421no—
519C22×C4—1424no—
520C22×C4—1424no—
521C22×C4—1424no—
522C22×C4D4×D7111yescharacteristic
523C22×C4D4×D7111yescharacteristic
524C22×C4C23×D7111yescharacteristic
525D8—7116no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—712no—
531C2×C8—712no—
532C2×C8—712no—
533C2×C8—712no—
534C2×C8—1421no—
535C2×C8—1421no—
536C2×C8C2×C4×D7112yes—
537C2×C8C2×C4×D7112yes—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—712no—
542C4⋊C4—712no—
543C4⋊C4—712no—
544C4⋊C4—1421no—
545C4⋊C4—1421no—
546C4⋊C4—1421no—
547C4⋊C4C2×C4×D7112yes—
548C4⋊C4C2×C4×D7112yes—
549C4⋊C4C2×C4×D7112yes—
550C22⋊C4—24no—
551C22⋊C4—1424no—
552C22⋊C4—1424no—
553C22⋊C4—1424no—
554C22⋊C4—1424no—
555C22⋊C4—1424no—
556C42—81no—
557C42—5681no—
558C42—5681no—
559C42—5681no—
560C42—5681no—
561C42—5681no—
562C42—712no—
563C42—712no—
564C42—712no—
565C42—712no—
566C42C2×C4×D7112yes—
567C42#1176586412yes—
568C23—22no—
569C23—22no—
570C23—22no—
571C23—41no—
572C23—41no—
573C23—41no—
574C23—41no—
575C23—2841no—
576C23—2841no—
577C23—2841no—
578C23—2841no—
579C23—1422no—
580C23—1422no—
581C23—1422no—
582C23C2×D4×D7111yescharacteristic
583D4—22no—
584D4—22no—
585D4—22no—
586D4—714no—
587D4—1422no—
588D4—1422no—
589D4—1422no—
590D4C42×D7114yes—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—84no—
605C2×C4—2841no—
606C2×C4—2841no—
607C2×C4—2841no—
608C2×C4—2841no—
609C2×C4—2841no—
610C2×C4—2841no—
611C2×C4—5684no—
612C2×C4—5684no—
613C2×C4—5684no—
614C2×C4—5684no—
615C2×C4—5684no—
616C2×C4—712no—
617C2×C4—712no—
618C2×C4—712no—
619C2×C4—712no—
620C2×C4—1422no—
621C2×C4—1422no—
622C2×C4—1422no—
623C2×C4—1421no—
624C2×C4—1421no—
625C2×C4—1421no—
626C2×C4—1421no—
627C2×C4—1421no—
628C2×C4—1421no—
629C2×C4—1421no—
630C2×C4—1421no—
631C2×C4(C22⋊D71)⋊C412yes—
632C2×C4(C22⋊D71)⋊C412yes—
633C2×C4C22×C4×D7111yescharacteristic
634C2×C4C22×C4×D7111yescharacteristic
635C2×C4C22×C4×D7111yescharacteristic
636C2×C4#41×D7111yescharacteristic
637C2×C4#41×D7111yescharacteristic
638C2×C4C2×#1176586411yescharacteristic
639C8—22no—
640C8—22no—
641C8—714no—
642C8—1422no—
643C22—24no—
644C22—42no—
645C22—42no—
646C22—42no—
647C22—42no—
648C22—42no—
649C22—42no—
650C22—2842no—
651C22—2842no—
652C22—2842no—
653C22—2842no—
654C22—2842no—
655C22—2842no—
656C22—1424no—
657C22C4×D4×D7111yescharacteristic
658C22C4×D4×D7111yescharacteristic
659C22C2×(C22⋊D71)⋊C411yescharacteristic
660C22#1798680011yescharacteristic
661C22#1798680111yescharacteristic
662C22#1798680511yescharacteristic
663C22#1798680611yescharacteristic
664C4—22no—
665C4—22no—
666C4—42no—
667C4—42no—
668C4—42no—
669C4—2842no—
670C4—2842no—
671C4—2842no—
672C4—1422no—
673C4—1422no—
674C4—1422no—
675C4—1422no—
676C4C2×C42×D7111yescharacteristic
677C4C4×#1176586411yescharacteristic
678C4C4×#1176586411yescharacteristic
679C4#1798646711yescharacteristic
680C2—44no—
681C2—2844no—
682C2C4×(C22⋊D71)⋊C411yescharacteristic
683C2#2259716511yescharacteristic
684C2#2259716611yescharacteristic
685C2#2259716711yescharacteristic
686C2#2259717511yescharacteristic
687C2#2259718711yescharacteristic
688C2#2259721811yescharacteristic
subgroupG/H
centerC23C2×D4×D71
commutatorC4×C71C22×C42
FrattiniC22×C4C23×D71
FittingC4×#102×C71C2
socleC23×C71C22×D4
prime radicalC22×#11765850C22
cosocleC22×C4×C71C24
hypercenterC4×#102D71
hypocenterC71#20503
LCSG ▷ C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C23 ◁ C2×C42 ◁ C4×#102

Complements

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

NH ≅ G/Ntype
4. #22590701C2semidirect
5. #22590700C2semidirect
6. #22588238C2semidirect
7. #22588236C2semidirect
8. #22588228C2semidirect
9. #22588167C2semidirect
10. #22588164C2semidirect
11. #102×Dic71C2semidirect
12. C4×#14556050C2semidirect
13. #22588154C2semidirect
14. #22588026C2semidirect
15. C4×#102×C71C2semidirect
22. #17986109C4semidirect
23. #17986108C4semidirect
24. #17986079C4semidirect
74. C4×D284C2×C4semidirect
77. D4×Dic71C2×C4semidirect
78. D4×Dic71C2×C4semidirect
81. #14556090C2×C4semidirect
82. #14556090C2×C4semidirect
98. #14556061C2×C4semidirect
99. #14556059C2×C4semidirect
100. #14556059C2×C4semidirect
101. #14556050C2×C4semidirect
102. #14556050C2×C4semidirect
103. #14556049C2×C4semidirect
104. #14556048C2×C4semidirect
105. #14556039C2×C4semidirect
107. #14556038C2×C4semidirect
109. C8×Dic71C2×C4semidirect
124. C4×D4×C71C2×C4semidirect
131. #102×C71C2×C4semidirect
132. #102×C71C2×C4semidirect
164. #11765850C42semidirect
358. C4×#102D71semidirect
360. C71#20503semidirect
433. C4×D4C4×D71semidirect
462. #102C4×D71semidirect
463. #102C4×D71semidirect

Maximal subgroups

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

subgroupindex
C2×#179861092
C2×#179861082
C2×#179860792
#225907012
#225907002
#225882382
#225882362
#225882282
#225881672
#225881642
#102×Dic712
C4×#145560502
#225881542
#225880262
C4×#102×C712
#2050371