Finite Group Databasebeta

← #29696932

Subgroups — #29696932

Order 15616.

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×#16839815C211yesmaximal, characteristic, complemented
2C22×C22⋊#92418C211yesmaximal, characteristic
3#21446427C212yesmaximal, complemented
4#21446427C212yesmaximal, complemented
5#21445999C212yesmaximal, complemented
6#21445887C211yesmaximal, characteristic, complemented
7#21445799C211yesmaximal, characteristic, complemented
8#21445729C211yesmaximal, characteristic
9C22⋊C4×#92418C212yesmaximal, complemented
10C4×C22⋊#92418C211yesmaximal, characteristic, complemented
11C2×C4×C22⋊C4×C61C211yesmaximal, characteristic
12C23×#92418C2212yes—
13#16839815—24no—
14C2×C4⋊#92418C2212yescomplemented
15C2×C4⋊#92418C2212yescomplemented
16C2×C22⋊#92418—24no—
17C2×C22⋊#92418C2212yes—
18C2×C22⋊#92418C2211yescharacteristic
19C2×C22⋊#92418C2212yes—
20C2×C22⋊#92418C2211yescharacteristic
21C2×C22⋊#92418C2211yescharacteristic
22C2×C22⋊#92418C2212yes—
23C2×C22⋊#92418C2211yescharacteristic
24C2×C4×#92418C2212yescomplemented
25C2×C4×#92418C2212yescomplemented
26#16839517C2212yescomplemented
27#16839517C2212yescomplemented
28#16839517C2212yescomplemented
29#16839517C2212yescomplemented
30C24×C4×C61C2211yescharacteristic
31C22×C22⋊C4×C61C411yescharacteristic
32C22×C22⋊C4×C61C411yescharacteristic
33C22×C42×C61C2211yescharacteristic
34C22×C42×C61C2211yescharacteristic
35C4×C22⋊C4×C61C411yescharacteristic
36C4×C22⋊C4×C61C411yescharacteristic
37C4×C22⋊C4×C61C411yescharacteristic
38C4×C22⋊C4×C61C411yescharacteristic
39C4×C22⋊C4×C61C2211yescharacteristic
40C4×C22⋊C4×C61C2211yescharacteristic
41C4×C22⋊C4×C61C2211yescharacteristic
42C4×C22⋊C4×C61C2211yescharacteristic
43C2×#95×C61C411yescharacteristic
44C2×#95×C61C411yescharacteristic
45C22×#92418—24no—
46C22×#92418—24no—
47C22×#92418—42no—
48C22×#92418C2312yes—
49C22×#92418C2312yes—
50C22×#92418C2312yes—
51C22×#92418C2312yes—
52C4⋊#92418—24no—
53C4⋊#92418—42no—
54C22⋊#92418—22no—
55C22⋊#92418—22no—
56C22⋊#92418—24no—
57C22⋊#92418—22no—
58C22⋊#92418—24no—
59C22⋊#92418—42no—
60C22⋊#92418D414yes—
61C4×#92418—24no—
62C4×#92418—42no—
63C25×C61C2×C411yescharacteristic
64C23×C4×C61—22no—
65C23×C4×C61—24no—
66C23×C4×C61—22no—
67C23×C4×C61—42no—
68C23×C4×C61C2×C411yescharacteristic
69C23×C4×C61C2×C411yescharacteristic
70C23×C4×C61C2×C411yescharacteristic
71C23×C4×C61C2×C411yescharacteristic
72C23×C4×C61C2×C411yescharacteristic
73C23×C4×C61C2×C411yescharacteristic
74C23×C4×C61C2×C411yescharacteristic
75C23×C4×C61C2311yescharacteristic
76C23×C4×C61C2311yescharacteristic
77C23×C4×C61C2311yescharacteristic
78C2×C22⋊C4×C61—24no—
79C2×C22⋊C4×C61C818yescomplemented
80C2×C22⋊C4×C61C2×C411yescharacteristic
81C2×C22⋊C4×C61C2×C411yescharacteristic
82C2×C22⋊C4×C61C2×C411yescharacteristic
83C2×C22⋊C4×C61C2×C411yescharacteristic
84C2×C22⋊C4×C61C2×C411yescharacteristic
85C2×C22⋊C4×C61C2×C411yescharacteristic
86C2×C22⋊C4×C61C2×C411yescharacteristic
87C2×C22⋊C4×C61C2×C411yescharacteristic
88C2×C42×C61—22no—
89C2×C42×C61—22no—
90C2×C42×C61—42no—
91C2×C42×C61C2×C411yescharacteristic
92C2×C42×C61C2×C411yescharacteristic
93C2×C42×C61C2×C411yescharacteristic
94C2×C42×C61C2×C411yescharacteristic
95C2×C42×C61C2311yescharacteristic
96C2×C42×C61C2311yescharacteristic
97C2×C42×C61C2311yescharacteristic
98C2×C42×C61C2311yescharacteristic
99#95×C61C2×C411yescharacteristic
100#95×C61C2×C411yescharacteristic
101#95×C61C2×C411yescharacteristic
102#95×C61C2×C411yescharacteristic
103#95×C61C2×C411yescharacteristic
104#95×C61C2×C411yescharacteristic
105#95×C61C2×C411yescharacteristic
106#95×C61C2×C411yescharacteristic
107C24×C61—22no—
108C24×C61—22no—
109C24×C61—22no—
110C24×C61—22no—
111C24×C61—41no—
112C24×C61—41no—
113C24×C61C2×C814yes—
114C24×C61C22×C411yescharacteristic
115C24×C61C22×C411yescharacteristic
116C24×C61C22×C411yescharacteristic
117C22×C4×C61—22no—
118C22×C4×C61—22no—
119C22×C4×C61—21no—
120C22×C4×C61—22no—
121C22×C4×C61—21no—
122C22×C4×C61—22no—
123C22×C4×C61—22no—
124C22×C4×C61—22no—
125C22×C4×C61—22no—
126C22×C4×C61—22no—
127C22×C4×C61—22no—
128C22×C4×C61—22no—
129C22×C4×C61—22no—
130C22×C4×C61—22no—
131C22×C4×C61—22no—
132C22×C4×C61—22no—
133C22×C4×C61—22no—
134C22×C4×C61—21no—
135C22×C4×C61—22no—
136C22×C4×C61—21no—
137C22×C4×C61—22no—
138C22×C4×C61—41no—
139C22×C4×C61—41no—
140C22×C4×C61—41no—
141C22×C4×C61—41no—
142C22×C4×C61—41no—
143C22×C4×C61—41no—
144C22×C4×C61—41no—
145C22×C4×C61—48no—
146C22×C4×C61—48no—
147C22×C4×C61C2×C814yescomplemented
148C22×C4×C61C2×C814yescomplemented
149C22×C4×C61C22×C411yescharacteristic
150C22×C4×C61C22×C411yescharacteristic
151C22×C4×C61C22×C411yescharacteristic
152C22×C4×C61C22×C411yescharacteristic
153C22×C4×C61C22×C411yescharacteristic
154C22×C4×C61C22×C411yescharacteristic
155C22×C4×C61C22×C411yescharacteristic
156C22×C4×C61C22×C411yescharacteristic
157C22×C4×C61C22×C411yescharacteristic
158C22×C4×C61C22×C411yescharacteristic
159C22×C4×C61C22×C411yescharacteristic
160C22×C4×C61C2×D412yes—
161C22×C4×C61#4114yes—
162C22×C4×C61#4112yes—
163C22×C4×C61C2411yescharacteristic
164C22⋊C4×C61—22no—
165C22⋊C4×C61—22no—
166C22⋊C4×C61—22no—
167C22⋊C4×C61C2×C814yes—
168C22⋊C4×C61C2×C814yes—
169C22⋊C4×C61C2×C814yescomplemented
170C22⋊C4×C61C2×C814yescomplemented
171C22⋊C4×C61M1614yes—
172C42×C61—22no—
173C42×C61—22no—
174C42×C61—21no—
175C42×C61—21no—
176C42×C61—21no—
177C42×C61—21no—
178C42×C61—22no—
179C42×C61—22no—
180C42×C61—41no—
181C42×C61—41no—
182C2×#92418—22no—
183C2×#92418—22no—
184C2×#92418—22no—
185C2×#92418—22no—
186C2×#92418—22no—
187C2×#92418—22no—
188C2×#92418—22no—
189C2×#92418—22no—
190C2×#92418—22no—
191C2×#92418—22no—
192C2×#92418—22no—
193C2×#92418—48no—
194C2×#92418C2×D414yes—
195C23×C61—21no—
196C23×C61—21no—
197C23×C61—21no—
198C23×C61—21no—
199C23×C61—21no—
200C23×C61—21no—
201C23×C61—21no—
202C23×C61—21no—
203C23×C61—21no—
204C23×C61—21no—
205C23×C61—21no—
206C23×C61—21no—
207C23×C61—21no—
208C23×C61—21no—
209C23×C61—28no—
210C23×C61—28no—
211C23×C61—44no—
212C23×C61—44no—
213C23×C61—44no—
214C23×C61—44no—
215C23×C61—44no—
216C23×C61#11712yes—
217C23×C61C4×D412yes—
218C23×C61C22×C812yes—
219C23×C61C22×C812yes—
220C23×C61C22×C812yes—
221C23×C61C2×M1612yes—
222C23×C61#13112yes—
223C23×C61C23×C411yescharacteristic
224C2×C4×C61—21no—
225C2×C4×C61—21no—
226C2×C4×C61—21no—
227C2×C4×C61—21no—
228C2×C4×C61—21no—
229C2×C4×C61—21no—
230C2×C4×C61—21no—
231C2×C4×C61—21no—
232C2×C4×C61—21no—
233C2×C4×C61—21no—
234C2×C4×C61—21no—
235C2×C4×C61—21no—
236C2×C4×C61—21no—
237C2×C4×C61—21no—
238C2×C4×C61—21no—
239C2×C4×C61—21no—
240C2×C4×C61—28no—
241C2×C4×C61—24no—
242C2×C4×C61—24no—
243C2×C4×C61—24no—
244C2×C4×C61—24no—
245C2×C4×C61—21no—
246C2×C4×C61—21no—
247C2×C4×C61—21no—
248C2×C4×C61—21no—
249C2×C4×C61—21no—
250C2×C4×C61—21no—
251C2×C4×C61—21no—
252C2×C4×C61—21no—
253C2×C4×C61—21no—
254C2×C4×C61—44no—
255C2×C4×C61—44no—
256C2×C4×C61—44no—
257C2×C4×C61—44no—
258C2×C4×C61—44no—
259C2×C4×C61—44no—
260C2×C4×C61—42no—
261C2×C4×C61—42no—
262C2×C4×C61#11712yes—
263C2×C4×C61C4×D412yes—
264C2×C4×C61C22×C812yes—
265C2×C4×C61C22×C812yes—
266C2×C4×C61C22×C812yes—
267C2×C4×C61C22×C812yes—
268C2×C4×C61C2×M1612yes—
269C2×C4×C61C2×M1612yes—
270C2×C4×C61C22×D411yescharacteristic
271C2×C4×C61C2×#4112yes—
272C2×C4×C61C2×#4111yescharacteristic
273C2×C4×C61H(5,𝔽2)12yes—
274#92418—24no—
275#92418—42no—
276#92418—42no—
277#92418—42no—
278#22552—611nomaximal, Sylow
279C22×C61—22no—
280C22×C61—22no—
281C22×C61—22no—
282C22×C61—22no—
283C22×C61—22no—
284C22×C61—22no—
285C22×C61—22no—
286C22×C61—22no—
287C22×C61—22no—
288C22×C61—22no—
289C22×C61—22no—
290C22×C61—22no—
291C22×C61—22no—
292C22×C61—22no—
293C22×C61—22no—
294C22×C61—416no—
295C22×C61—41no—
296C22×C61—41no—
297C22×C61—41no—
298C22×C61—41no—
299C22×C61#43114yescomplemented
300C22×C61C8×D414yes—
301C22×C61C2×#11711yescharacteristic
302C22×C61C2×C4×D411yescharacteristic
303C22×C61#51811yescharacteristic
304C22×C61C23×C811yescharacteristic
305C22×C61C22×M1611yescharacteristic
306C22×C61C2×#13111yescharacteristic
307C22×C61#56811yescharacteristic
308C4×C61—22no—
309C4×C61—22no—
310C4×C61—22no—
311C4×C61—22no—
312C4×C61—22no—
313C4×C61—22no—
314C4×C61—22no—
315C4×C61—22no—
316C4×C61—41no—
317C4×C61—41no—
318C4×C61—41no—
319C4×C61#54612yes—
320C4×C61#55112yes—
321C2×#431—611no—
322C22×C22⋊C8—611no—
323C2×C4×C22⋊C4D6111yescharacteristic
324#1923—612no—
325#1923—612no—
326#1850—612no—
327#1817—611no—
328#1797—611no—
329#1779—611no—
330C8×C22⋊C4—612no—
331C4×C22⋊C8—611no—
332C2×C61—24no—
333C2×C61—24no—
334C2×C61—42no—
335C2×C61#234211yescharacteristic
336C2×C61C2×#43111yescharacteristic
337C2×C61#292411yescharacteristic
338C2×C61C2×C8×D411yescharacteristic
339C2×C61D4×M1611yescharacteristic
340C2×C61#297211yescharacteristic
341C2×C61#297411yescharacteristic
342C24×C4C2×D6111yescharacteristic
343C23×C8—612no—
344C22×C22⋊C4Dic6111yescharacteristic
345C22×C22⋊C4Dic6111yescharacteristic
346C22×C42C2×D6111yescharacteristic
347C22×C42C2×D6111yescharacteristic
348#431—1224no—
349C2×C4⋊C8—612no—
350C2×C4⋊C8—612no—
351C2×C22⋊C8—611no—
352C2×C22⋊C8—611no—
353C2×C22⋊C8—611no—
354C2×C22⋊C8—611no—
355C2×C22⋊C8—612no—
356C2×C22⋊C8—612no—
357C2×C22⋊C8—612no—
358C2×C22⋊C8—1224no—
359C2×C4×C8—612no—
360C2×C4×C8—612no—
361C4×C22⋊C4Dic6111yescharacteristic
362C4×C22⋊C4Dic6111yescharacteristic
363C4×C22⋊C4Dic6111yescharacteristic
364C4×C22⋊C4Dic6111yescharacteristic
365C4×C22⋊C4C2×D6111yescharacteristic
366C4×C22⋊C4C2×D6111yescharacteristic
367C4×C22⋊C4C2×D6111yescharacteristic
368C4×C22⋊C4C2×D6111yescharacteristic
369C2×#95Dic6111yescharacteristic
370C2×#95Dic6111yescharacteristic
371#336—612no—
372#336—612no—
373#336—612no—
374#336—612no—
375C61#2255211yescharacteristic, complemented, Sylow
376C25C2×Dic6111yescharacteristic
377C23×C4—24no—
378C23×C4—22no—
379C23×C4—22no—
380C23×C4—42no—
381C23×C4C2×Dic6111yescharacteristic
382C23×C4C2×Dic6111yescharacteristic
383C23×C4C2×Dic6111yescharacteristic
384C23×C4C2×Dic6111yescharacteristic
385C23×C4C2×Dic6111yescharacteristic
386C23×C4C2×Dic6111yescharacteristic
387C23×C4C2×Dic6111yescharacteristic
388C23×C4C22×D6111yescharacteristic
389C23×C4C22×D6111yescharacteristic
390C23×C4C22×D6111yescharacteristic
391C22×C8—612no—
392C22×C8—612no—
393C22×C8—612no—
394C22×C8—612no—
395C22×C8—1224no—
396C22×C8—1224no—
397C22×C8—2442no—
398C2×C22⋊C4—24no—
399C2×C22⋊C4#9241818yescomplemented
400C2×C22⋊C4C2×Dic6111yescharacteristic
401C2×C22⋊C4C2×Dic6111yescharacteristic
402C2×C22⋊C4C2×Dic6111yescharacteristic
403C2×C22⋊C4C2×Dic6111yescharacteristic
404C2×C22⋊C4C2×Dic6111yescharacteristic
405C2×C22⋊C4C2×Dic6111yescharacteristic
406C2×C22⋊C4C2×Dic6111yescharacteristic
407C2×C22⋊C4C2×Dic6111yescharacteristic
408C2×C42—22no—
409C2×C42—22no—
410C2×C42—42no—
411C2×C42C2×Dic6111yescharacteristic
412C2×C42C2×Dic6111yescharacteristic
413C2×C42C2×Dic6111yescharacteristic
414C2×C42C2×Dic6111yescharacteristic
415C2×C42C22×D6111yescharacteristic
416C2×C42C22×D6111yescharacteristic
417C2×C42C22×D6111yescharacteristic
418C2×C42C22×D6111yescharacteristic
419C4⋊C8—1224no—
420C4⋊C8—2442no—
421C22⋊C8—614no—
422C22⋊C8—1224no—
423C22⋊C8—1224no—
424C22⋊C8—1222no—
425C22⋊C8—1222no—
426C22⋊C8—1222no—
427C22⋊C8—2442no—
428C4×C8—1224no—
429C4×C8—2442no—
430#95C2×Dic6111yescharacteristic
431#95C2×Dic6111yescharacteristic
432#95C2×Dic6111yescharacteristic
433#95C2×Dic6111yescharacteristic
434#95C2×Dic6111yescharacteristic
435#95C2×Dic6111yescharacteristic
436#95C2×Dic6111yescharacteristic
437#95C2×Dic6111yescharacteristic
438C24—22no—
439C24—22no—
440C24—22no—
441C24—22no—
442C24—41no—
443C24—41no—
444C24C2×#9241814yes—
445C24C22×Dic6111yescharacteristic
446C24C22×Dic6111yescharacteristic
447C24C22×Dic6111yescharacteristic
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—22no—
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×#9241814yescomplemented
479C22×C4C2×#9241814yescomplemented
480C22×C4#1175822214yes—
481C22×C4D4×D6112yes—
482C22×C4#1175822412yes—
483C22×C4C22×Dic6111yescharacteristic
484C22×C4C22×Dic6111yescharacteristic
485C22×C4C22×Dic6111yescharacteristic
486C22×C4C22×Dic6111yescharacteristic
487C22×C4C22×Dic6111yescharacteristic
488C22×C4C22×Dic6111yescharacteristic
489C22×C4C22×Dic6111yescharacteristic
490C22×C4C22×Dic6111yescharacteristic
491C22×C4C22×Dic6111yescharacteristic
492C22×C4C22×Dic6111yescharacteristic
493C22×C4C22×Dic6111yescharacteristic
494C22×C4C23×D6111yescharacteristic
495C2×C8—614no—
496C2×C8—1222no—
497C2×C8—1222no—
498C2×C8—1222no—
499C2×C8—1222no—
500C2×C8—1222no—
501C2×C8—1222no—
502C2×C8—1222no—
503C2×C8—1222no—
504C2×C8—1222no—
505C2×C8—1222no—
506C2×C8—1222no—
507C2×C8—2448no—
508C22⋊C4—22no—
509C22⋊C4—22no—
510C22⋊C4—22no—
511C22⋊C4C2×#9241814yes—
512C22⋊C4C2×#9241814yes—
513C22⋊C4C2×#9241814yescomplemented
514C22⋊C4C2×#9241814yescomplemented
515C22⋊C4#1175819414yes—
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—
547C23#1451973612yes—
548C23D4×Dic6112yes—
549C23C22×#9241812yes—
550C23C22×#9241812yes—
551C23C22×#9241812yes—
552C23C2×#1175819412yes—
553C23#1451978412yes—
554C23C23×Dic6111yescharacteristic
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×C4#1451973612yes—
594C2×C4D4×Dic6112yes—
595C2×C4C22×#9241812yes—
596C2×C4C22×#9241812yes—
597C2×C4C22×#9241812yes—
598C2×C4C22×#9241812yes—
599C2×C4C2×#1175819412yes—
600C2×C4C2×#1175819412yes—
601C2×C4C2×D4×D6111yescharacteristic
602C2×C4C2×#1175822411yescharacteristic
603C2×C4C2×#1175822212yes—
604C2×C4#1451982212yes—
605C8—1224no—
606C8—2442no—
607C8—2442no—
608C8—2442no—
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#1683981514yescomplemented
630C22D4×#9241814yes—
631C22C2×#1451973611yescharacteristic
632C22C2×D4×Dic6111yescharacteristic
633C22#1684023711yescharacteristic
634C22C23×#9241811yescharacteristic
635C22C22×#1175819411yescharacteristic
636C22C2×#1451978411yescharacteristic
637C22#1684052911yescharacteristic
638C4—22no—
639C4—22no—
640C4—22no—
641C4—22no—
642C4—22no—
643C4—22no—
644C4—22no—
645C4—22no—
646C4—41no—
647C4—41no—
648C4—41no—
649C4#1684040212yes—
650C4#1684043812yes—
651C2—24no—
652C2—24no—
653C2—42no—
654C2#2144866811yescharacteristic
655C2C2×#1683981511yescharacteristic
656C2#2145447711yescharacteristic
657C2C2×D4×#9241811yescharacteristic
658C2D4×#1175819411yescharacteristic
659C2#2145484311yescharacteristic
660C2#2145485411yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D61
commutatorC22×C61C23×C8
FittingC2×C4×C22⋊C4×C61C2
socleC23×C61C23×C4
prime radicalC25×C61C2×C4
cosocleC22×C4×C61C24
hypercenterC2×C4×C22⋊C4D61
hypocenterC61#22552
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C22×C4 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#16839815C2semidirect
3. #21446427C2semidirect
4. #21446427C2semidirect
5. #21445999C2semidirect
6. #21445887C2semidirect
7. #21445799C2semidirect
9. C22⋊C4×#92418C2semidirect
10. C4×C22⋊#92418C2semidirect
14. C2×C4⋊#92418C22semidirect
15. C2×C4⋊#92418C22semidirect
24. C2×C4×#92418C22semidirect
25. C2×C4×#92418C22semidirect
26. #16839517C22semidirect
27. #16839517C22semidirect
28. #16839517C22semidirect
29. #16839517C22semidirect
79. C2×C22⋊C4×C61C8semidirect
147. C22×C4×C61C2×C8semidirect
148. C22×C4×C61C2×C8semidirect
169. C22⋊C4×C61C2×C8semidirect
170. C22⋊C4×C61C2×C8semidirect
299. C22×C61#431semidirect
375. C61#22552semidirect
399. C2×C22⋊C4#92418semidirect
478. C22×C4C2×#92418semidirect
479. C22×C4C2×#92418semidirect
513. C22⋊C4C2×#92418semidirect
514. C22⋊C4C2×#92418semidirect
629. C22#16839815semidirect

Maximal subgroups

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

subgroupindex
C2×#168398152
C22×C22⋊#924182
#214464272
#214459992
#214458872
#214457992
#214457292
C22⋊C4×#924182
C4×C22⋊#924182
C2×C4×C22⋊C4×C612
#2255261