Finite Group Databasebeta

← #17051243

Subgroups — #17051243

Order 4352.

1280 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11762862C211yesmaximal, characteristic, complemented
2C22×C22⋊#3622C211yesmaximal, characteristic
3#14529392C212yesmaximal, complemented
4#14529392C212yesmaximal, complemented
5#14528964C212yesmaximal, complemented
6#14528852C211yesmaximal, characteristic, complemented
7#14528764C211yesmaximal, characteristic, complemented
8#14528694C211yesmaximal, characteristic
9C22⋊C4×#3622C212yesmaximal, complemented
10C4×C22⋊#3622C211yesmaximal, characteristic, complemented
11C2×C4×C22⋊C4×C17C211yesmaximal, characteristic
12C23×#3622C2212yes—
13#11762862—24no—
14C2×C4⋊#3622C2212yescomplemented
15C2×C4⋊#3622C2212yescomplemented
16C2×C22⋊#3622—24no—
17C2×C22⋊#3622C2211yescharacteristic
18C2×C22⋊#3622C2212yes—
19C2×C22⋊#3622C2211yescharacteristic
20C2×C22⋊#3622C2212yes—
21C2×C22⋊#3622C2211yescharacteristic
22C2×C22⋊#3622C2212yes—
23C2×C22⋊#3622C2211yescharacteristic
24C2×C4×#3622C2212yescomplemented
25C2×C4×#3622C2212yescomplemented
26#11762564C2212yescomplemented
27#11762564C2212yescomplemented
28#11762564C2212yescomplemented
29#11762564C2212yescomplemented
30C24×C4×C17C2211yescharacteristic
31C22×C22⋊C4×C17C411yescharacteristic
32C22×C22⋊C4×C17C411yescharacteristic
33C22×C42×C17C2211yescharacteristic
34C22×C42×C17C2211yescharacteristic
35C4×C22⋊C4×C17C411yescharacteristic
36C4×C22⋊C4×C17C411yescharacteristic
37C4×C22⋊C4×C17C411yescharacteristic
38C4×C22⋊C4×C17C411yescharacteristic
39C4×C22⋊C4×C17C2211yescharacteristic
40C4×C22⋊C4×C17C2211yescharacteristic
41C4×C22⋊C4×C17C2211yescharacteristic
42C4×C22⋊C4×C17C2211yescharacteristic
43C2×C17×#95C411yescharacteristic
44C2×C17×#95C411yescharacteristic
45C25×C17C2×C411yescharacteristic
46C23×C4×C17—22no—
47C23×C4×C17—24no—
48C23×C4×C17—22no—
49C23×C4×C17—42no—
50C23×C4×C17C2×C411yescharacteristic
51C23×C4×C17C2×C411yescharacteristic
52C23×C4×C17C2×C411yescharacteristic
53C23×C4×C17C2×C411yescharacteristic
54C23×C4×C17C2×C411yescharacteristic
55C23×C4×C17C2×C411yescharacteristic
56C23×C4×C17C2×C411yescharacteristic
57C23×C4×C17C2311yescharacteristic
58C23×C4×C17C2311yescharacteristic
59C23×C4×C17C2311yescharacteristic
60C2×C22⋊C4×C17—24no—
61C2×C22⋊C4×C17C818yescomplemented
62C2×C22⋊C4×C17C2×C411yescharacteristic
63C2×C22⋊C4×C17C2×C411yescharacteristic
64C2×C22⋊C4×C17C2×C411yescharacteristic
65C2×C22⋊C4×C17C2×C411yescharacteristic
66C2×C22⋊C4×C17C2×C411yescharacteristic
67C2×C22⋊C4×C17C2×C411yescharacteristic
68C2×C22⋊C4×C17C2×C411yescharacteristic
69C2×C22⋊C4×C17C2×C411yescharacteristic
70C2×C42×C17—22no—
71C2×C42×C17—22no—
72C2×C42×C17—42no—
73C2×C42×C17C2×C411yescharacteristic
74C2×C42×C17C2×C411yescharacteristic
75C2×C42×C17C2×C411yescharacteristic
76C2×C42×C17C2×C411yescharacteristic
77C2×C42×C17C2311yescharacteristic
78C2×C42×C17C2311yescharacteristic
79C2×C42×C17C2311yescharacteristic
80C2×C42×C17C2311yescharacteristic
81C22×#3622—24no—
82C22×#3622—24no—
83C22×#3622—42no—
84C22×#3622C2312yes—
85C22×#3622C2312yes—
86C22×#3622C2312yes—
87C22×#3622C2312yes—
88C17×#95C2×C411yescharacteristic
89C17×#95C2×C411yescharacteristic
90C17×#95C2×C411yescharacteristic
91C17×#95C2×C411yescharacteristic
92C17×#95C2×C411yescharacteristic
93C17×#95C2×C411yescharacteristic
94C17×#95C2×C411yescharacteristic
95C17×#95C2×C411yescharacteristic
96C22⋊#3622—24no—
97C22⋊#3622—22no—
98C22⋊#3622—22no—
99C22⋊#3622—24no—
100C22⋊#3622—22no—
101C22⋊#3622—42no—
102C22⋊#3622D414yes—
103C4⋊#3622—24no—
104C4⋊#3622—42no—
105C4×#3622—24no—
106C4×#3622—42no—
107C24×C17—22no—
108C24×C17—22no—
109C24×C17—22no—
110C24×C17—22no—
111C24×C17—41no—
112C24×C17—41no—
113C24×C17C2×C814yes—
114C24×C17C22×C411yescharacteristic
115C24×C17C22×C411yescharacteristic
116C24×C17C22×C411yescharacteristic
117C22×C4×C17—22no—
118C22×C4×C17—22no—
119C22×C4×C17—21no—
120C22×C4×C17—22no—
121C22×C4×C17—21no—
122C22×C4×C17—22no—
123C22×C4×C17—22no—
124C22×C4×C17—22no—
125C22×C4×C17—22no—
126C22×C4×C17—22no—
127C22×C4×C17—22no—
128C22×C4×C17—22no—
129C22×C4×C17—22no—
130C22×C4×C17—22no—
131C22×C4×C17—22no—
132C22×C4×C17—22no—
133C22×C4×C17—22no—
134C22×C4×C17—21no—
135C22×C4×C17—22no—
136C22×C4×C17—21no—
137C22×C4×C17—22no—
138C22×C4×C17—41no—
139C22×C4×C17—41no—
140C22×C4×C17—41no—
141C22×C4×C17—41no—
142C22×C4×C17—41no—
143C22×C4×C17—41no—
144C22×C4×C17—41no—
145C22×C4×C17—48no—
146C22×C4×C17—48no—
147C22×C4×C17C2×C814yescomplemented
148C22×C4×C17C2×C814yescomplemented
149C22×C4×C17C22×C411yescharacteristic
150C22×C4×C17C22×C411yescharacteristic
151C22×C4×C17C22×C411yescharacteristic
152C22×C4×C17C22×C411yescharacteristic
153C22×C4×C17C22×C411yescharacteristic
154C22×C4×C17C22×C411yescharacteristic
155C22×C4×C17C22×C411yescharacteristic
156C22×C4×C17C22×C411yescharacteristic
157C22×C4×C17C22×C411yescharacteristic
158C22×C4×C17C22×C411yescharacteristic
159C22×C4×C17C22×C411yescharacteristic
160C22×C4×C17C2×D412yes—
161C22×C4×C17#4114yes—
162C22×C4×C17#4112yes—
163C22×C4×C17C2411yescharacteristic
164C22⋊C4×C17—22no—
165C22⋊C4×C17—22no—
166C22⋊C4×C17—22no—
167C22⋊C4×C17C2×C814yes—
168C22⋊C4×C17C2×C814yes—
169C22⋊C4×C17C2×C814yescomplemented
170C22⋊C4×C17C2×C814yescomplemented
171C22⋊C4×C17M1614yes—
172C42×C17—22no—
173C42×C17—22no—
174C42×C17—21no—
175C42×C17—21no—
176C42×C17—21no—
177C42×C17—21no—
178C42×C17—22no—
179C42×C17—22no—
180C42×C17—41no—
181C42×C17—41no—
182C2×#3622—22no—
183C2×#3622—22no—
184C2×#3622—22no—
185C2×#3622—22no—
186C2×#3622—22no—
187C2×#3622—22no—
188C2×#3622—22no—
189C2×#3622—22no—
190C2×#3622—22no—
191C2×#3622—22no—
192C2×#3622—22no—
193C2×#3622—48no—
194C2×#3622C2×D414yes—
195#22552—171nomaximal, Sylow
196C23×C17—21no—
197C23×C17—21no—
198C23×C17—21no—
199C23×C17—21no—
200C23×C17—21no—
201C23×C17—21no—
202C23×C17—21no—
203C23×C17—21no—
204C23×C17—21no—
205C23×C17—21no—
206C23×C17—21no—
207C23×C17—21no—
208C23×C17—21no—
209C23×C17—21no—
210C23×C17—28no—
211C23×C17—28no—
212C23×C17—44no—
213C23×C17—44no—
214C23×C17—44no—
215C23×C17—44no—
216C23×C17—44no—
217C23×C17#11712yes—
218C23×C17C4×D412yes—
219C23×C17C22×C812yes—
220C23×C17C22×C812yes—
221C23×C17C22×C812yes—
222C23×C17C2×M1612yes—
223C23×C17#13112yes—
224C23×C17C23×C411yescharacteristic
225C2×C4×C17—21no—
226C2×C4×C17—21no—
227C2×C4×C17—21no—
228C2×C4×C17—21no—
229C2×C4×C17—21no—
230C2×C4×C17—21no—
231C2×C4×C17—21no—
232C2×C4×C17—21no—
233C2×C4×C17—21no—
234C2×C4×C17—21no—
235C2×C4×C17—21no—
236C2×C4×C17—21no—
237C2×C4×C17—21no—
238C2×C4×C17—21no—
239C2×C4×C17—21no—
240C2×C4×C17—21no—
241C2×C4×C17—28no—
242C2×C4×C17—24no—
243C2×C4×C17—24no—
244C2×C4×C17—24no—
245C2×C4×C17—24no—
246C2×C4×C17—21no—
247C2×C4×C17—21no—
248C2×C4×C17—21no—
249C2×C4×C17—21no—
250C2×C4×C17—21no—
251C2×C4×C17—21no—
252C2×C4×C17—21no—
253C2×C4×C17—21no—
254C2×C4×C17—21no—
255C2×C4×C17—44no—
256C2×C4×C17—44no—
257C2×C4×C17—44no—
258C2×C4×C17—44no—
259C2×C4×C17—44no—
260C2×C4×C17—44no—
261C2×C4×C17—42no—
262C2×C4×C17—42no—
263C2×C4×C17#11712yes—
264C2×C4×C17C4×D412yes—
265C2×C4×C17C22×C812yes—
266C2×C4×C17C22×C812yes—
267C2×C4×C17C22×C812yes—
268C2×C4×C17C22×C812yes—
269C2×C4×C17C2×M1612yes—
270C2×C4×C17C2×M1612yes—
271C2×C4×C17C22×D411yescharacteristic
272C2×C4×C17C2×#4112yes—
273C2×C4×C17C2×#4111yescharacteristic
274C2×C4×C17H(5,𝔽2)12yes—
275#3622—24no—
276#3622—42no—
277#3622—42no—
278#3622—42no—
279C2×#431—171no—
280C22×C22⋊C8—171no—
281C2×C4×C22⋊C4D1711yescharacteristic
282#1923—172no—
283#1923—172no—
284#1850—172no—
285#1817—171no—
286#1797—171no—
287#1779—171no—
288C8×C22⋊C4—172no—
289C4×C22⋊C8—171no—
290C22×C17—22no—
291C22×C17—22no—
292C22×C17—22no—
293C22×C17—22no—
294C22×C17—22no—
295C22×C17—22no—
296C22×C17—22no—
297C22×C17—22no—
298C22×C17—22no—
299C22×C17—22no—
300C22×C17—22no—
301C22×C17—22no—
302C22×C17—22no—
303C22×C17—22no—
304C22×C17—22no—
305C22×C17—416no—
306C22×C17—41no—
307C22×C17—41no—
308C22×C17—41no—
309C22×C17—41no—
310C22×C17#43114yescomplemented
311C22×C17C8×D414yes—
312C22×C17C2×#11711yescharacteristic
313C22×C17C2×C4×D411yescharacteristic
314C22×C17#51811yescharacteristic
315C22×C17C23×C811yescharacteristic
316C22×C17C22×M1611yescharacteristic
317C22×C17C2×#13111yescharacteristic
318C22×C17#56811yescharacteristic
319C4×C17—22no—
320C4×C17—22no—
321C4×C17—22no—
322C4×C17—22no—
323C4×C17—22no—
324C4×C17—22no—
325C4×C17—22no—
326C4×C17—22no—
327C4×C17—41no—
328C4×C17—41no—
329C4×C17—41no—
330C4×C17#54612yes—
331C4×C17#55112yes—
332C24×C4C2×D1711yescharacteristic
333C23×C8—172no—
334C22×C22⋊C4Dic1711yescharacteristic
335C22×C22⋊C4Dic1711yescharacteristic
336C22×C42C2×D1711yescharacteristic
337C22×C42C2×D1711yescharacteristic
338#431—344no—
339C2×C4⋊C8—172no—
340C2×C4⋊C8—172no—
341C2×C22⋊C8—171no—
342C2×C22⋊C8—171no—
343C2×C22⋊C8—171no—
344C2×C22⋊C8—171no—
345C2×C22⋊C8—172no—
346C2×C22⋊C8—172no—
347C2×C22⋊C8—172no—
348C2×C22⋊C8—344no—
349C2×C4×C8—172no—
350C2×C4×C8—172no—
351C4×C22⋊C4Dic1711yescharacteristic
352C4×C22⋊C4Dic1711yescharacteristic
353C4×C22⋊C4Dic1711yescharacteristic
354C4×C22⋊C4Dic1711yescharacteristic
355C4×C22⋊C4C2×D1711yescharacteristic
356C4×C22⋊C4C2×D1711yescharacteristic
357C4×C22⋊C4C2×D1711yescharacteristic
358C4×C22⋊C4C2×D1711yescharacteristic
359C2×#95Dic1711yescharacteristic
360C2×#95Dic1711yescharacteristic
361#336—172no—
362#336—172no—
363#336—172no—
364#336—172no—
365C2×C17—24no—
366C2×C17—24no—
367C2×C17—42no—
368C2×C17#234211yescharacteristic
369C2×C17C2×#43111yescharacteristic
370C2×C17#292411yescharacteristic
371C2×C17C2×C8×D411yescharacteristic
372C2×C17D4×M1611yescharacteristic
373C2×C17#297211yescharacteristic
374C2×C17#297411yescharacteristic
375C25C2×Dic1711yescharacteristic
376C23×C4—24no—
377C23×C4—22no—
378C23×C4—22no—
379C23×C4—42no—
380C23×C4C2×Dic1711yescharacteristic
381C23×C4C2×Dic1711yescharacteristic
382C23×C4C2×Dic1711yescharacteristic
383C23×C4C2×Dic1711yescharacteristic
384C23×C4C2×Dic1711yescharacteristic
385C23×C4C2×Dic1711yescharacteristic
386C23×C4C2×Dic1711yescharacteristic
387C23×C4C22×D1711yescharacteristic
388C23×C4C22×D1711yescharacteristic
389C23×C4C22×D1711yescharacteristic
390C22×C8—172no—
391C22×C8—172no—
392C22×C8—172no—
393C22×C8—172no—
394C22×C8—344no—
395C22×C8—344no—
396C22×C8—682no—
397C2×C22⋊C4—24no—
398C2×C22⋊C4#362218yescomplemented
399C2×C22⋊C4C2×Dic1711yescharacteristic
400C2×C22⋊C4C2×Dic1711yescharacteristic
401C2×C22⋊C4C2×Dic1711yescharacteristic
402C2×C22⋊C4C2×Dic1711yescharacteristic
403C2×C22⋊C4C2×Dic1711yescharacteristic
404C2×C22⋊C4C2×Dic1711yescharacteristic
405C2×C22⋊C4C2×Dic1711yescharacteristic
406C2×C22⋊C4C2×Dic1711yescharacteristic
407C2×C42—22no—
408C2×C42—22no—
409C2×C42—42no—
410C2×C42C2×Dic1711yescharacteristic
411C2×C42C2×Dic1711yescharacteristic
412C2×C42C2×Dic1711yescharacteristic
413C2×C42C2×Dic1711yescharacteristic
414C2×C42C22×D1711yescharacteristic
415C2×C42C22×D1711yescharacteristic
416C2×C42C22×D1711yescharacteristic
417C2×C42C22×D1711yescharacteristic
418C4⋊C8—344no—
419C4⋊C8—682no—
420C22⋊C8—174no—
421C22⋊C8—344no—
422C22⋊C8—344no—
423C22⋊C8—342no—
424C22⋊C8—342no—
425C22⋊C8—342no—
426C22⋊C8—682no—
427C4×C8—344no—
428C4×C8—682no—
429#95C2×Dic1711yescharacteristic
430#95C2×Dic1711yescharacteristic
431#95C2×Dic1711yescharacteristic
432#95C2×Dic1711yescharacteristic
433#95C2×Dic1711yescharacteristic
434#95C2×Dic1711yescharacteristic
435#95C2×Dic1711yescharacteristic
436#95C2×Dic1711yescharacteristic
437C17#2255211yescharacteristic, complemented, Sylow
438C24—22no—
439C24—22no—
440C24—22no—
441C24—22no—
442C24—41no—
443C24—41no—
444C24C2×#362214yes—
445C24C22×Dic1711yescharacteristic
446C24C22×Dic1711yescharacteristic
447C24C22×Dic1711yescharacteristic
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—41no—
470C22×C4—41no—
471C22×C4—41no—
472C22×C4—41no—
473C22×C4—41no—
474C22×C4—41no—
475C22×C4—41no—
476C22×C4—48no—
477C22×C4—48no—
478C22×C4C2×#362214yescomplemented
479C22×C4C2×#362214yescomplemented
480C22×C4#6325214yes—
481C22×C4D4×D1712yes—
482C22×C4#6325412yes—
483C22×C4C22×Dic1711yescharacteristic
484C22×C4C22×Dic1711yescharacteristic
485C22×C4C22×Dic1711yescharacteristic
486C22×C4C22×Dic1711yescharacteristic
487C22×C4C22×Dic1711yescharacteristic
488C22×C4C22×Dic1711yescharacteristic
489C22×C4C22×Dic1711yescharacteristic
490C22×C4C22×Dic1711yescharacteristic
491C22×C4C22×Dic1711yescharacteristic
492C22×C4C22×Dic1711yescharacteristic
493C22×C4C22×Dic1711yescharacteristic
494C22×C4C23×D1711yescharacteristic
495C2×C8—174no—
496C2×C8—342no—
497C2×C8—342no—
498C2×C8—342no—
499C2×C8—342no—
500C2×C8—342no—
501C2×C8—342no—
502C2×C8—342no—
503C2×C8—342no—
504C2×C8—342no—
505C2×C8—342no—
506C2×C8—342no—
507C2×C8—688no—
508C22⋊C4—22no—
509C22⋊C4—22no—
510C22⋊C4—22no—
511C22⋊C4C2×#362214yes—
512C22⋊C4C2×#362214yes—
513C22⋊C4C2×#362214yescomplemented
514C22⋊C4C2×#362214yescomplemented
515C22⋊C4#6322314yes—
516C42—21no—
517C42—21no—
518C42—21no—
519C42—21no—
520C42—22no—
521C42—22no—
522C42—22no—
523C42—22no—
524C42—41no—
525C42—41no—
526C23—21no—
527C23—21no—
528C23—21no—
529C23—21no—
530C23—21no—
531C23—21no—
532C23—21no—
533C23—21no—
534C23—21no—
535C23—21no—
536C23—21no—
537C23—21no—
538C23—21no—
539C23—21no—
540C23—28no—
541C23—28no—
542C23—44no—
543C23—44no—
544C23—44no—
545C23—44no—
546C23—44no—
547C23C22×#362212yes—
548C23C22×#362212yes—
549C23C22×#362212yes—
550C23C2×#6322312yes—
551C23#1058761212yes—
552C23D4×Dic1712yes—
553C23#1058763412yes—
554C23C23×Dic1711yescharacteristic
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—28no—
572C2×C4—24no—
573C2×C4—24no—
574C2×C4—24no—
575C2×C4—24no—
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—21no—
585C2×C4—44no—
586C2×C4—44no—
587C2×C4—44no—
588C2×C4—44no—
589C2×C4—44no—
590C2×C4—44no—
591C2×C4—42no—
592C2×C4—42no—
593C2×C4C22×#362212yes—
594C2×C4C22×#362212yes—
595C2×C4C22×#362212yes—
596C2×C4C22×#362212yes—
597C2×C4C2×#6322312yes—
598C2×C4C2×#6322312yes—
599C2×C4#1058761212yes—
600C2×C4D4×Dic1712yes—
601C2×C4C2×#6325212yes—
602C2×C4C2×D4×D1711yescharacteristic
603C2×C4C2×#6325411yescharacteristic
604C2×C4#1058769112yes—
605C8—344no—
606C8—682no—
607C8—682no—
608C8—682no—
609C22—22no—
610C22—22no—
611C22—22no—
612C22—22no—
613C22—22no—
614C22—22no—
615C22—22no—
616C22—22no—
617C22—22no—
618C22—22no—
619C22—22no—
620C22—22no—
621C22—22no—
622C22—22no—
623C22—22no—
624C22—416no—
625C22—41no—
626C22—41no—
627C22—41no—
628C22—41no—
629C22#1176286214yescomplemented
630C22D4×#362214yes—
631C22C2×#1058761211yescharacteristic
632C22C2×D4×Dic1711yescharacteristic
633C22#1176328411yescharacteristic
634C22C23×#362211yescharacteristic
635C22C22×#6322311yescharacteristic
636C22C2×#1058763411yescharacteristic
637C22#1176357611yescharacteristic
638C4—22no—
639C4—22no—
640C4—22no—
641C4—22no—
642C4—22no—
643C4—22no—
644C4—22no—
645C4—22no—
646C4—41no—
647C4—41no—
648C4—41no—
649C4#1176344912yes—
650C4#1176348512yes—
651C2—24no—
652C2—24no—
653C2—42no—
654C2#1453163311yescharacteristic
655C2C2×#1176286211yescharacteristic
656C2#1453744211yescharacteristic
657C2C2×D4×#362211yescharacteristic
658C2D4×#6322311yescharacteristic
659C2#1453780811yescharacteristic
660C2#1453781911yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D17
commutatorC22×C17C23×C8
FittingC2×C4×C22⋊C4×C17C2
socleC23×C17C23×C4
prime radicalC25×C17C2×C4
cosocleC22×C4×C17C24
hypercenterC2×C4×C22⋊C4D17
hypocenterC17#22552
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C22×C4 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#11762862C2semidirect
3. #14529392C2semidirect
4. #14529392C2semidirect
5. #14528964C2semidirect
6. #14528852C2semidirect
7. #14528764C2semidirect
9. C22⋊C4×#3622C2semidirect
10. C4×C22⋊#3622C2semidirect
14. C2×C4⋊#3622C22semidirect
15. C2×C4⋊#3622C22semidirect
24. C2×C4×#3622C22semidirect
25. C2×C4×#3622C22semidirect
26. #11762564C22semidirect
27. #11762564C22semidirect
28. #11762564C22semidirect
29. #11762564C22semidirect
61. C2×C22⋊C4×C17C8semidirect
147. C22×C4×C17C2×C8semidirect
148. C22×C4×C17C2×C8semidirect
169. C22⋊C4×C17C2×C8semidirect
170. C22⋊C4×C17C2×C8semidirect
310. C22×C17#431semidirect
398. C2×C22⋊C4#3622semidirect
437. C17#22552semidirect
478. C22×C4C2×#3622semidirect
479. C22×C4C2×#3622semidirect
513. C22⋊C4C2×#3622semidirect
514. C22⋊C4C2×#3622semidirect
629. C22#11762862semidirect

Maximal subgroups

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

subgroupindex
C2×#117628622
C22×C22⋊#36222
#145293922
#145289642
#145288522
#145287642
#145286942
C22⋊C4×#36222
C4×C22⋊#36222
C2×C4×C22⋊C4×C172
#2255217