Finite Group Databasebeta

← #34027782

Subgroups — #34027782

Order 18688.

980 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D4×#10596833C211yesmaximal, characteristic
2C2×#17989604C211yesmaximal, characteristic, complemented
3#22626030C211yesmaximal, characteristic, complemented
4#22626001C211yesmaximal, characteristic, complemented
5#22626001C211yesmaximal, characteristic, complemented
6#22625986C211yesmaximal, characteristic, complemented
7#22625985C211yesmaximal, characteristic, complemented
8#22625904C211yesmaximal, characteristic
9#22625875C211yesmaximal, characteristic, complemented
10#22625875C211yesmaximal, characteristic, complemented
11#22625723C211yesmaximal, characteristic, complemented
12C22⋊C4×#10596833C211yesmaximal, characteristic, complemented
13C22⋊C4×#10596833C211yesmaximal, characteristic, complemented
14C2×#17989453C211yesmaximal, characteristic, complemented
15#22612456C211yesmaximal, characteristic
16C23×#10596833C2211yescharacteristic
17C23×#10596833C2211yescharacteristic
18C23×#10596833C2211yescharacteristic
19D4×#10596833—24no—
20#17989604—24no—
21C2×#14556658C2211yescharacteristic
22C2×#14556658C2211yescharacteristic
23C2×#14556658C2211yescharacteristic
24C2×#14556658C2211yescharacteristic
25C2×C4⋊#10596833C2211yescharacteristic
26C2×C22⋊#10596833C2211yescharacteristic
27C2×C22⋊#10596833C2211yescharacteristic
28C2×C22⋊#10596833C2211yescharacteristic
29C2×C22⋊#10596833C2211yescharacteristic
30C2×C22⋊#10596833C2211yescharacteristic
31C2×C4×#10596833C2211yescharacteristic
32C2×C4×#10596833C2211yescharacteristic
33C2×C4×#10596833C2211yescharacteristic
34C2×C4×#10596833C2211yescharacteristic
35C2×C4×#10596833C2211yescharacteristic
36#17989453C2211yescharacteristic
37#17989453C2211yescharacteristic
38#17989453C2211yescharacteristic
39#17989453C2211yescharacteristic
40#17989453C2211yescharacteristic
41#17989453C2211yescharacteristic
42#17989453C2211yescharacteristic
43#17989453C2211yescharacteristic
44#17989453C2211yescharacteristic
45#17989453C2211yescharacteristic
46C2×#14556572C411yescharacteristic
47C2×D4×Dic73C2211yescharacteristic
48C22×C4×Dic73C2211yescharacteristic
49#17988481C411yescharacteristic
50#17988481C411yescharacteristic
51#17988474C411yescharacteristic
52#17988474C411yescharacteristic
53#17988460C411yescharacteristic
54#17988448C411yescharacteristic
55#17988438C2211yescharacteristic
56#17988438C2211yescharacteristic
57C22⋊C4×Dic73C2211yescharacteristic
58C22⋊C4×Dic73C2211yescharacteristic
59C22⋊C4×Dic73C2211yescharacteristic
60#386×C73C411yescharacteristic
61C22×#10596833—22no—
62C22×#10596833—22no—
63C22×#10596833—22no—
64C22×#10596833—22no—
65C22×#10596833—22no—
66C22×#10596833—22no—
67C22×#10596833—41no—
68C22×#10596833—41no—
69C22×#10596833—41no—
70C22×#10596833C2311yescharacteristic
71C22×#10596833C2311yescharacteristic
72C22×#10596833C2311yescharacteristic
73C22×#10596833C2311yescharacteristic
74C22×#10596833C2311yescharacteristic
75C22×#10596833C2311yescharacteristic
76C22×#10596833C2311yescharacteristic
77C22×#10596833C2311yescharacteristic
78#14556658—22no—
79#14556658—22no—
80#14556658—22no—
81#14556658—41no—
82C4⋊#10596833—22no—
83C22⋊#10596833—22no—
84C22⋊#10596833—22no—
85C22⋊#10596833—22no—
86C22⋊#10596833—41no—
87C22⋊#10596833D414yes—
88C4×#10596833—22no—
89C4×#10596833—22no—
90C4×#10596833—22no—
91C4×#10596833—22no—
92C4×#10596833—41no—
93C23×Dic73C2×C411yescharacteristic
94C23×Dic73C2311yescharacteristic
95C23×Dic73C2311yescharacteristic
96#14556572C818yescomplemented
97D4×Dic73—22no—
98D4×Dic73—22no—
99C2×C4⋊Dic73C2×C411yescharacteristic
100C2×#11924007C2×C411yescharacteristic
101C2×#11924007C2×C411yescharacteristic
102C2×#11924007C2×C411yescharacteristic
103C2×#11924007C2×C411yescharacteristic
104C2×C22⋊Dic73C2×C411yescharacteristic
105C2×C22⋊Dic73C2×C411yescharacteristic
106C2×C22⋊Dic73C2×C411yescharacteristic
107C2×C22⋊Dic73C2×C411yescharacteristic
108C2×C22⋊Dic73C2×C411yescharacteristic
109C2×C4×Dic73—22no—
110C2×C4×Dic73—22no—
111C2×C4×Dic73C2×C411yescharacteristic
112C2×C4×Dic73C2×C411yescharacteristic
113C2×C4×Dic73C2311yescharacteristic
114C2×C4×Dic73C2311yescharacteristic
115C2×C4×Dic73C2311yescharacteristic
116C2×C4×Dic73C2311yescharacteristic
117C2×C4×Dic73C2311yescharacteristic
118#14556498C2×C411yescharacteristic
119#14556498C2×C411yescharacteristic
120#14556498C2×C411yescharacteristic
121#14556498C2×C411yescharacteristic
122#14556498C2×C411yescharacteristic
123#14556498C2×C411yescharacteristic
124#14556498C2×C411yescharacteristic
125#14556498C2×C411yescharacteristic
126C22×D4×C73C2×C411yescharacteristic
127C23×C4×C73C2×C411yescharacteristic
128C2×C22⋊C4×C73C2×C411yescharacteristic
129C2×C22⋊C4×C73C2×C411yescharacteristic
130C2×C22⋊C4×C73C2×C411yescharacteristic
131#95×C73C2×C411yescharacteristic
132#95×C73C2×C411yescharacteristic
133C2×#10596833—21no—
134C2×#10596833—21no—
135C2×#10596833—21no—
136C2×#10596833—21no—
137C2×#10596833—21no—
138C2×#10596833—21no—
139C2×#10596833—21no—
140C2×#10596833—21no—
141C2×#10596833—21no—
142C2×#10596833—21no—
143C2×#10596833—21no—
144C2×#10596833—21no—
145C2×#10596833—21no—
146C2×#10596833—21no—
147C2×#10596833—21no—
148C2×#10596833—21no—
149C2×#10596833—21no—
150C2×#10596833—21no—
151C2×#10596833—21no—
152C2×#10596833—21no—
153C2×#10596833—44no—
154C2×#10596833—44no—
155C2×#10596833—44no—
156C2×#10596833C2×D412yes—
157C2×#10596833C2×D412yes—
158C2×#10596833#4112yes—
159C2×#10596833#4112yes—
160C22×Dic73—22no—
161C22×Dic73—22no—
162C22×Dic73—21no—
163C22×Dic73—21no—
164C22×Dic73—21no—
165C22×Dic73—21no—
166C22×Dic73—21no—
167C22×Dic73—21no—
168C22×Dic73—21no—
169C22×Dic73—21no—
170C22×Dic73—21no—
171C22×Dic73—21no—
172C22×Dic73C2×C814yescomplemented
173C22×Dic73C22×C411yescharacteristic
174C22×Dic73C22×C411yescharacteristic
175C22×Dic73C22×C411yescharacteristic
176C22×Dic73C22×C411yescharacteristic
177C22×Dic73C22×C411yescharacteristic
178C22×Dic73C22×C411yescharacteristic
179C22×Dic73C22×C411yescharacteristic
180C22×Dic73C2×D412yes—
181C22×Dic73#4112yes—
182C22×Dic73C2411yescharacteristic
183C4⋊Dic73—22no—
184#11924007—22no—
185#11924007—41no—
186#11924007C2×C814yescomplemented
187#11924007C2×C814yescomplemented
188C22⋊Dic73—22no—
189C22⋊Dic73—22no—
190C22⋊Dic73C2×C814yescomplemented
191C22⋊Dic73C2×C814yescomplemented
192C22⋊Dic73C2×C814yescomplemented
193C4×Dic73—22no—
194C4×Dic73—22no—
195C4×Dic73—21no—
196C4×Dic73—21no—
197C4×Dic73—21no—
198C4×Dic73—21no—
199C4×Dic73—21no—
200C4×Dic73—21no—
201C4×Dic73—21no—
202C4×Dic73—21no—
203C4×Dic73—21no—
204C4×Dic73—21no—
205C24×C73C22×C411yescharacteristic
206C24×C73C22×C411yescharacteristic
207C2×D4×C73—22no—
208C2×D4×C73—22no—
209C2×D4×C73C2×C814yes—
210C22×C4×C73—22no—
211C22×C4×C73—22no—
212C22×C4×C73—41no—
213C22×C4×C73C22×C411yescharacteristic
214C22×C4×C73C22×C411yescharacteristic
215C22×C4×C73C22×C411yescharacteristic
216C22×C4×C73C22×C411yescharacteristic
217C22×C4×C73C22×C411yescharacteristic
218C22⋊C4×C73—22no—
219C22⋊C4×C73—22no—
220C22⋊C4×C73—41no—
221C23×C73—21no—
222C23×C73—21no—
223C23×C73—21no—
224C23×C73—21no—
225C23×C73—21no—
226C23×C73—21no—
227C23×C73—21no—
228C23×C73—21no—
229C23×C73—21no—
230C23×C73—21no—
231C23×C73C4×D412yes—
232C23×C73C22×C812yes—
233C23×C73C22×C812yes—
234C23×C73#13112yes—
235C23×C73C23×C411yescharacteristic
236D4×C73—28no—
237C2×C4×C73—21no—
238C2×C4×C73—21no—
239C2×C4×C73—21no—
240C2×C4×C73—21no—
241C2×C4×C73—21no—
242C2×C4×C73—21no—
243C2×C4×C73—21no—
244C2×C4×C73—21no—
245C2×C4×C73—21no—
246C2×C4×C73—21no—
247C2×C4×C73—21no—
248C2×C4×C73—21no—
249C2×C4×C73—21no—
250C2×C4×C73—44no—
251C2×C4×C73C22×C812yes—
252C2×C4×C73#13112yes—
253C2×Dic73—21no—
254C2×Dic73—21no—
255C2×Dic73—21no—
256C2×Dic73—21no—
257C2×Dic73—21no—
258C2×Dic73—21no—
259C2×Dic73—21no—
260C2×Dic73—21no—
261C2×Dic73—21no—
262C2×Dic73—21no—
263C2×Dic73—28no—
264C2×Dic73—22no—
265C2×Dic73—22no—
266C2×Dic73—22no—
267C2×Dic73—22no—
268C2×Dic73—21no—
269C2×Dic73—21no—
270C2×Dic73—21no—
271C2×Dic73—21no—
272C2×Dic73—21no—
273C2×Dic73—21no—
274C2×Dic73—41no—
275C2×Dic73—41no—
276C2×Dic73—41no—
277C2×Dic73—41no—
278C2×Dic73C4×D412yes—
279C2×Dic73C22×C812yes—
280C2×Dic73C22×C812yes—
281C2×Dic73C22×C812yes—
282C2×Dic73C22×C812yes—
283C2×Dic73C22×D411yescharacteristic
284C2×Dic73C2×#4111yescharacteristic
285C2×Dic73C2×#4111yescharacteristic
286C2×Dic73C2×#4111yescharacteristic
287C2×Dic73H(5,𝔽2)11yescharacteristic
288C2×Dic732−1+411yescharacteristic
289#10596833—22no—
290#10596833—22no—
291#10596833—22no—
292#10596833—22no—
293#10596833—41no—
294#10596833—41no—
295#10596833—41no—
296#10596833—41no—
297C22×C73—22no—
298C22×C73—22no—
299C22×C73—22no—
300C22×C73—22no—
301C22×C73—22no—
302C22×C73—22no—
303C22×C73—22no—
304C22×C73—22no—
305C22×C73—22no—
306C22×C73—41no—
307C22×C73—41no—
308C22×C73—41no—
309C22×C73—41no—
310C22×C73C8×D414yes—
311C22×C73C2×C4×D411yescharacteristic
312C22×C73C4×#4111yescharacteristic
313C22×C73#52011yescharacteristic
314C22×C73C23×C811yescharacteristic
315C22×C73C2×#13111yescharacteristic
316C22×C73C2×#13111yescharacteristic
317C22×C73#56811yescharacteristic
318C4×C73—22no—
319C4×C73—22no—
320C4×C73—41no—
321C4×C73—41no—
322C4×C73—41no—
323Dic73—22no—
324Dic73—22no—
325Dic73—22no—
326Dic73—22no—
327Dic73—22no—
328Dic73—41no—
329Dic73—41no—
330Dic73#54611yescharacteristic
331Dic73#54711yescharacteristic
332Dic73#55111yescharacteristic
333Dic73#55211yescharacteristic
334#22900—731nomaximal, Sylow
335C2×C73—24no—
336C2×C73—42no—
337C2×C73#235911yescharacteristic
338C2×C73C2×C8×D411yescharacteristic
339C2×C73#293311yescharacteristic
340C2×C73C8×#4111yescharacteristic
341C2×C73#296811yescharacteristic
342C2×C73#298811yescharacteristic
343C2×C73#299411yescharacteristic
344C2×C8×D4—731no—
345C2×#431—731no—
346C4×#123—731no—
347#1939—731no—
348#1923—731no—
349#1923—731no—
350#1916—731no—
351#1916—731no—
352#1869—731no—
353#1850—731no—
354#1850—731no—
355C8×C4⋊C4—731no—
356C8×C22⋊C4—731no—
357C8×C22⋊C4—731no—
358C2×#336—731no—
359C73#2290011yescharacteristic, complemented, Sylow
360C23×C8—731no—
361C23×C8—731no—
362C23×C8—731no—
363C2×#123—731no—
364C2×C4×D4—731no—
365C22×C42—731no—
366C8×D4—1464no—
367#431—1464no—
368C2×C4⋊C8—731no—
369C2×C4⋊C8—731no—
370C2×C4⋊C8—731no—
371C2×C4⋊C8—731no—
372C2×C4⋊C8—731no—
373C2×C22⋊C8—731no—
374C2×C22⋊C8—731no—
375C2×C22⋊C8—731no—
376C2×C22⋊C8—731no—
377C2×C22⋊C8—731no—
378C2×C4×C8—731no—
379C2×C4×C8—731no—
380C2×C4×C8—731no—
381C2×C4×C8—731no—
382C2×C4×C8—731no—
383#388—731no—
384#388—731no—
385#387—731no—
386#387—731no—
387#386#6440811yescharacteristic
388#385—731no—
389#381—731no—
390C4×C4⋊C4—731no—
391C4×C4⋊C4—731no—
392C4×C22⋊C4—731no—
393C4×C22⋊C4—731no—
394C4×C22⋊C4—731no—
395#336—731no—
396#336—731no—
397#336—731no—
398#336—731no—
399#336—731no—
400#336—731no—
401#336—731no—
402#336—731no—
403#336—731no—
404#336—731no—
405C22×D4C2×#6440811yescharacteristic
406C23×C4—731no—
407C23×C4—731no—
408C23×C4—731no—
409C23×C4C2×#6440811yescharacteristic
410C22×C8—2921no—
411C22×C8—2921no—
412C22×C8—2921no—
413C22×C8—731no—
414C22×C8—731no—
415C22×C8—731no—
416C22×C8—731no—
417C22×C8—731no—
418C22×C8—731no—
419C22×C8—731no—
420C22×C8—731no—
421C22×C8—1462no—
422C22×C8—1462no—
423C22×C8—1462no—
424C22×C8—1462no—
425C22×C8—1462no—
426C22×C8—1462no—
427#123—738no—
428C4×D4—1462no—
429C4×D4—1462no—
430C2×C4⋊C4—731no—
431C2×C4⋊C4—731no—
432C2×C4⋊C4—731no—
433C2×C4⋊C4—731no—
434C2×C4⋊C4—731no—
435C2×C22⋊C4—731no—
436C2×C22⋊C4—731no—
437C2×C22⋊C4—731no—
438C2×C22⋊C4—731no—
439C2×C22⋊C4—731no—
440C2×C22⋊C4C2×#6440811yescharacteristic
441C2×C22⋊C4C2×#6440811yescharacteristic
442C2×C22⋊C4C2×#6440811yescharacteristic
443C2×C42—731no—
444C2×C42—731no—
445C2×C42—731no—
446C2×C42—731no—
447C2×C42—731no—
448C2×C42—731no—
449C2×C42—731no—
450C2×C42—1462no—
451C2×C42—1462no—
452C4⋊C8—2921no—
453C4⋊C8—1462no—
454C4⋊C8—1462no—
455C4⋊C8—1462no—
456C4⋊C8—1462no—
457C22⋊C8—2921no—
458C22⋊C8—734no—
459C22⋊C8—1462no—
460C22⋊C8—1462no—
461C22⋊C8—1462no—
462C4×C8—2921no—
463C4×C8—1462no—
464C4×C8—1462no—
465C4×C8—1462no—
466C4×C8—1462no—
467#95—731no—
468#95—731no—
469#95—731no—
470#95—731no—
471#95—731no—
472#95—731no—
473#95—731no—
474#95—731no—
475#95C2×#6440811yescharacteristic
476#95C2×#6440811yescharacteristic
477C24C22×#6440811yescharacteristic
478C24C22×#6440811yescharacteristic
479C2×D4—22no—
480C2×D4—22no—
481C2×D4#1192403614yes—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—41no—
485C22×C4—731no—
486C22×C4—734no—
487C22×C4—731no—
488C22×C4—731no—
489C22×C4—731no—
490C22×C4—731no—
491C22×C4—731no—
492C22×C4—732no—
493C22×C4—732no—
494C22×C4—731no—
495C22×C4—731no—
496C22×C4—1461no—
497C22×C4—1461no—
498C22×C4—1461no—
499C22×C4—1461no—
500C22×C4—1461no—
501C22×C4—1461no—
502C22×C4—1461no—
503C22×C4—1461no—
504C22×C4—1461no—
505C22×C4—1461no—
506C22×C4—1462no—
507C22×C4—1462no—
508C22×C4C22×#6440811yescharacteristic
509C22×C4C22×#6440811yescharacteristic
510C22×C4C22×#6440811yescharacteristic
511C22×C4C22×#6440811yescharacteristic
512C22×C4C22×#6440811yescharacteristic
513C2×C8—2924no—
514C2×C8—2924no—
515C2×C8—2924no—
516C2×C8—732no—
517C2×C8—732no—
518C2×C8—732no—
519C2×C8—732no—
520C2×C8—1461no—
521C2×C8—1461no—
522C2×C8—1461no—
523C2×C8—1461no—
524C2×C8—1461no—
525C2×C8—1461no—
526C2×C8—1461no—
527C2×C8—1461no—
528C2×C8—1461no—
529C2×C8—1461no—
530C2×C8—1461no—
531C2×C8—1461no—
532C2×C8—1461no—
533C2×C8—1461no—
534C2×C8—1461no—
535C2×C8—1461no—
536C2×C8—1461no—
537C2×C8—1461no—
538C2×C8—1461no—
539C2×C8—1461no—
540C4⋊C4—2921no—
541C4⋊C4—734no—
542C4⋊C4—734no—
543C4⋊C4—1462no—
544C4⋊C4—1462no—
545C22⋊C4—22no—
546C22⋊C4—22no—
547C22⋊C4—41no—
548C22⋊C4—734no—
549C22⋊C4—734no—
550C22⋊C4—734no—
551C22⋊C4—1462no—
552C22⋊C4—1462no—
553C42—1461no—
554C42—1461no—
555C42—1461no—
556C42—1461no—
557C42—1461no—
558C42—1461no—
559C42—1461no—
560C42—1461no—
561C42—1462no—
562C42—1461no—
563C42—1462no—
564C42—1461no—
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23D4×#6440812yes—
576C23C2×#1192403612yes—
577C23C2×#1192403612yes—
578C23#1455667812yes—
579C23C23×#6440811yescharacteristic
580D4—28no—
581C2×C4—21no—
582C2×C4—21no—
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—44no—
595C2×C4—2921no—
596C2×C4—2921no—
597C2×C4—2921no—
598C2×C4—2921no—
599C2×C4—731no—
600C2×C4—731no—
601C2×C4—731no—
602C2×C4—731no—
603C2×C4—731no—
604C2×C4—731no—
605C2×C4—732no—
606C2×C4—732no—
607C2×C4—732no—
608C2×C4—732no—
609C2×C4—732no—
610C2×C4—1461no—
611C2×C4—1461no—
612C2×C4—1461no—
613C2×C4—1461no—
614C2×C4—1461no—
615C2×C4—1461no—
616C2×C4—1462no—
617C2×C4—1462no—
618C2×C4—1462no—
619C2×C4—1462no—
620C2×C4—1461no—
621C2×C4—1461no—
622C2×C4—1461no—
623C2×C4—1461no—
624C2×C4—1461no—
625C2×C4—1461no—
626C2×C4—1461no—
627C2×C4—1461no—
628C2×C4—1461no—
629C2×C4—1461no—
630C2×C4—1468no—
631C2×C4C2×#1192403612yes—
632C2×C4#1455667812yes—
633C8—2921no—
634C8—2921no—
635C8—2921no—
636C8—2921no—
637C8—1462no—
638C8—1462no—
639C8—1462no—
640C8—1462no—
641C22—22no—
642C22—22no—
643C22—22no—
644C22—22no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—22no—
650C22—41no—
651C22—41no—
652C22—41no—
653C22—41no—
654C22#1798961414yes—
655C22C2×D4×#6440811yescharacteristic
656C22#41×#6440811yescharacteristic
657C22#1798965611yescharacteristic
658C22C22×#1192403611yescharacteristic
659C22C2×#1455667811yescharacteristic
660C22C2×#1455667811yescharacteristic
661C22#1798966511yescharacteristic
662C4—22no—
663C4—22no—
664C4—41no—
665C4—41no—
666C4—41no—
667C4—2921no—
668C4—2921no—
669C4—731no—
670C4—731no—
671C4—731no—
672C4—731no—
673C4—1462no—
674C4—1462no—
675C4—1462no—
676C4—1462no—
677C4—1462no—
678C2—24no—
679C2—42no—
680C2#2262645411yescharacteristic
681C2C2×#1798961411yescharacteristic
682C2#2262666311yescharacteristic
683C2#2262673611yescharacteristic
684C2#2262675611yescharacteristic
685C2#2262684711yescharacteristic
686C2#2262687811yescharacteristic
subgroupG/H
center, FrattiniC23C23×#64408
commutatorC22×C73C23×C8
Fitting#386×C73C4
socleC23×C73C23×C4
prime radicalC22×D4×C73C2×C4
cosocleC22×Dic73C24
hypercenter#386#64408
hypocenterC73#22900
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C23 ◁ #386

Complements

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

NH ≅ G/Ntype
2. C2×#17989604C2semidirect
3. #22626030C2semidirect
4. #22626001C2semidirect
5. #22626001C2semidirect
6. #22625986C2semidirect
7. #22625985C2semidirect
9. #22625875C2semidirect
10. #22625875C2semidirect
11. #22625723C2semidirect
12. C22⋊C4×#10596833C2semidirect
13. C22⋊C4×#10596833C2semidirect
14. C2×#17989453C2semidirect
96. #14556572C8semidirect
172. C22×Dic73C2×C8semidirect
186. #11924007C2×C8semidirect
187. #11924007C2×C8semidirect
190. C22⋊Dic73C2×C8semidirect
191. C22⋊Dic73C2×C8semidirect
192. C22⋊Dic73C2×C8semidirect
359. C73#22900semidirect

Maximal subgroups

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

subgroupindex
C2×D4×#105968332
C2×#179896042
#226260302
#226260012
#226259862
#226259852
#226259042
#226258752
#226257232
C22⋊C4×#105968332
C2×#179894532
#226124562
#2290073