Finite Group Databasebeta

← #29601968

Subgroups — #29601968

Order 15616.

4046 conjugacy classes of subgroups.

The subgroup lattice has 1468 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C22⋊C4×D61C211yesmaximal, characteristic
2C22×C22⋊C4×D61C211yesmaximal, characteristic
3C2×#16839636C211yesmaximal, characteristic, complemented
4C2×#16839633C211yesmaximal, characteristic, complemented
5C2×#16839621C211yesmaximal, characteristic, complemented
6C2×#16839619C211yesmaximal, characteristic, complemented
7C2×#16839617C211yesmaximal, characteristic
8#21444064C211yesmaximal, characteristic, complemented
9#21444062C211yesmaximal, characteristic, complemented
10#21444062C211yesmaximal, characteristic, complemented
11#21444040C211yesmaximal, characteristic, complemented
12#21444040C211yesmaximal, characteristic, complemented
13#21444040C211yesmaximal, characteristic, complemented
14#21444040C211yesmaximal, characteristic, complemented
15C61×#1439C211yesmaximal, characteristic, complemented
16C25×D61C2211yescharacteristic
17C23×C4×D61C2211yescharacteristic
18C23×C4×D61C2211yescharacteristic
19C23×C4×D61C2211yescharacteristic
20C23×C4×D61C2211yescharacteristic
21C22×C4⋊Dic61C2211yescharacteristic, complemented
22C22×#11758196C2211yescharacteristic, complemented
23C22×#11758196C2211yescharacteristic, complemented
24C22×C22⋊Dic61C2211yescharacteristic
25C22×C22⋊Dic61C2211yescharacteristic
26C22×C22⋊Dic61C2211yescharacteristic
27C22×#11758198C2211yescharacteristic
28C22×#11758198C2211yescharacteristic
29C22×#11758198C2211yescharacteristic
30C22×#11758198C2211yescharacteristic
31C22×#11758198C2211yescharacteristic
32C22×#11758198C2211yescharacteristic
33C22×#11758198C2211yescharacteristic
34C22×#11758198C2211yescharacteristic
35C2×C22⋊C4×D61—24no—
36C2×C22⋊C4×D61—24no—
37C2×C22⋊C4×D61—24no—
38C2×C22⋊C4×D61—24no—
39C2×C22⋊C4×D61—24no—
40C2×C22⋊C4×D61C418yescomplemented
41#16839636—24no—
42#16839633—24no—
43#16839621—24no—
44#16839619—24no—
45#16839617—24no—
46C2×#14519684C2211yescharacteristic, complemented
47C2×#14519684C2211yescharacteristic, complemented
48C2×#14519684C2211yescharacteristic, complemented
49C2×#14519684C2211yescharacteristic, complemented
50C2×#14519684C2211yescharacteristic, complemented
51C2×#14519684C2211yescharacteristic, complemented
52C2×#14519684C2211yescharacteristic, complemented
53C2×#14519684C2211yescharacteristic, complemented
54C2×#14519684C2211yescharacteristic, complemented
55C22×C4⋊C4×C61C2211yescharacteristic, complemented
56C22×C22⋊C4×C61C2211yescharacteristic
57C22×C22⋊C4×C61C2211yescharacteristic
58C22×C22⋊C4×C61C2211yescharacteristic
59C2×#95×C61C2211yescharacteristic, complemented
60C2×#95×C61C2211yescharacteristic, complemented
61C2×#95×C61C2211yescharacteristic, complemented
62C24×D61—22no—
63C24×D61—22no—
64C24×D61—22no—
65C24×D61—22no—
66C24×D61—22no—
67C24×D61—22no—
68C24×D61—22no—
69C24×D61—22no—
70C24×D61—41no—
71C24×D61—41no—
72C24×D61—41no—
73C24×D61—41no—
74C24×D61C2×C414yes—
75C24×D61D414yes—
76C24×D61Q814yes—
77C24×D61C2311yescharacteristic
78C24×D61C2311yescharacteristic
79C23×Dic61C2311yescharacteristic
80C23×Dic61C2311yescharacteristic
81C23×Dic61C2311yescharacteristic
82C23×Dic61C2311yescharacteristic
83C23×Dic61C2311yescharacteristic
84C23×Dic61C2311yescharacteristic
85C22×C4×D61—22no—
86C22×C4×D61—22no—
87C22×C4×D61—22no—
88C22×C4×D61—22no—
89C22×C4×D61—22no—
90C22×C4×D61—22no—
91C22×C4×D61—22no—
92C22×C4×D61—22no—
93C22×C4×D61—22no—
94C22×C4×D61—22no—
95C22×C4×D61—22no—
96C22×C4×D61—22no—
97C22×C4×D61—22no—
98C22×C4×D61—22no—
99C22×C4×D61—22no—
100C22×C4×D61—22no—
101C22×C4×D61—22no—
102C22×C4×D61—22no—
103C22×C4×D61—41no—
104C22×C4×D61—41no—
105C22×C4×D61—41no—
106C22×C4×D61—41no—
107C22×C4×D61—41no—
108C22×C4×D61—41no—
109C22×C4×D61—41no—
110C22×C4×D61—41no—
111C22×C4×D61C2×C414yescomplemented
112C22×C4×D61C2×C414yescomplemented
113C2×C4⋊Dic61—22no—
114C2×C4⋊Dic61—22no—
115C2×C4⋊Dic61—41no—
116C2×#11758196—22no—
117C2×#11758196—22no—
118C2×#11758196—22no—
119C2×#11758196—22no—
120C2×#11758196—41no—
121C2×#11758196—41no—
122C2×C22⋊Dic61—22no—
123C2×C22⋊Dic61—22no—
124C2×C22⋊Dic61—22no—
125C2×C22⋊Dic61—22no—
126C2×C22⋊Dic61—22no—
127C2×C22⋊Dic61—22no—
128C2×C22⋊Dic61—41no—
129C2×C22⋊Dic61—41no—
130C2×C22⋊Dic61C2×C414yescomplemented
131C2×#11758198—22no—
132C2×#11758198—22no—
133C2×#11758198—22no—
134C2×#11758198—22no—
135C2×#11758198—22no—
136C2×#11758198—22no—
137C2×#11758198—22no—
138C2×#11758198—22no—
139C2×#11758198—22no—
140C2×#11758198—22no—
141C2×#11758198—22no—
142C2×#11758198—22no—
143C2×#11758198—22no—
144C2×#11758198—22no—
145C2×#11758198—22no—
146C2×#11758198—22no—
147C2×#11758198—22no—
148C2×#11758198—22no—
149C2×#11758198C2×C414yes—
150C2×#11758198C2×C414yes—
151C2×#11758198D414yes—
152C2×#11758198D414yes—
153C2×#11758198D414yes—
154C2×#11758198D414yes—
155C22⋊C4×D61—232no—
156C22⋊C4×D61—232no—
157#14519684—22no—
158#14519684—22no—
159#14519684—22no—
160#14519684—22no—
161#14519684—22no—
162#14519684—22no—
163#14519684—41no—
164#14519684—41no—
165#14519684—41no—
166C25×C61C2311yescharacteristic
167C23×C4×C61C2311yescharacteristic
168C23×C4×C61C2311yescharacteristic
169C23×C4×C61C2311yescharacteristic
170C23×C4×C61C2311yescharacteristic
171C23×C4×C61C2311yescharacteristic
172C23×C4×C61C2311yescharacteristic
173C2×C4⋊C4×C61—22no—
174C2×C4⋊C4×C61—22no—
175C2×C4⋊C4×C61—41no—
176C2×C22⋊C4×C61—22no—
177C2×C22⋊C4×C61—22no—
178C2×C22⋊C4×C61—22no—
179C2×C22⋊C4×C61—22no—
180C2×C22⋊C4×C61—22no—
181C2×C22⋊C4×C61—22no—
182C2×C22⋊C4×C61—41no—
183C2×C22⋊C4×C61—41no—
184C2×C22⋊C4×C61C2×C414yescomplemented
185#95×C61—22no—
186#95×C61—22no—
187#95×C61—41no—
188C24×C61—21no—
189C24×C61—21no—
190C24×C61—21no—
191C24×C61—21no—
192C24×C61—21no—
193C24×C61—21no—
194C24×C61—21no—
195C24×C61—21no—
196C24×C61—21no—
197C24×C61—21no—
198C24×C61—21no—
199C24×C61—21no—
200C24×C61C22×C412yes—
201C24×C61C2×D412yes—
202C24×C61C2×Q812yes—
203C24×C61C2411yescharacteristic
204C23×D61—21no—
205C23×D61—21no—
206C23×D61—21no—
207C23×D61—21no—
208C23×D61—21no—
209C23×D61—21no—
210C23×D61—21no—
211C23×D61—21no—
212C23×D61—21no—
213C23×D61—21no—
214C23×D61—21no—
215C23×D61—21no—
216C23×D61—21no—
217C23×D61—21no—
218C23×D61—21no—
219C23×D61—21no—
220C23×D61—28no—
221C23×D61—28no—
222C23×D61—28no—
223C23×D61—28no—
224C23×D61—28no—
225C23×D61—28no—
226C23×D61—28no—
227C23×D61—28no—
228C23×D61—28no—
229C23×D61—28no—
230C23×D61—28no—
231C23×D61—28no—
232C23×D61—44no—
233C23×D61—44no—
234C23×D61—44no—
235C23×D61—44no—
236C23×D61—44no—
237C23×D61—44no—
238C23×D61—44no—
239C23×D61—44no—
240C23×D61—44no—
241C23×D61—44no—
242C23×D61—44no—
243C23×D61—44no—
244C23×D61—44no—
245C23×D61—44no—
246C23×D61—44no—
247C23×D61—44no—
248C23×D61—44no—
249C23×D61—44no—
250C23×D61—44no—
251C23×D61—44no—
252C23×D61—44no—
253C23×D61—44no—
254C23×D61C4⋊C4116yescomplemented
255C23×D61C22×C412yes—
256C23×D61C22×C412yes—
257C23×D61C2×D412yes—
258C23×D61C2×D412yes—
259C23×D61C2×D412yes—
260C23×D61C2×D412yes—
261C23×D61C2×D412yes—
262C23×D61C2×D412yes—
263C23×D61C2×Q812yes—
264C23×D61C2×Q812yes—
265C23×D61#4112yes—
266C23×D61#4112yes—
267C23×D61#4112yes—
268C23×D61#4112yes—
269C22×C4×C61—21no—
270C22×C4×C61—21no—
271C22×C4×C61—21no—
272C22×C4×C61—21no—
273C22×C4×C61—21no—
274C22×C4×C61—21no—
275C22×C4×C61—21no—
276C22×C4×C61—21no—
277C22×C4×C61—21no—
278C22×C4×C61—21no—
279C22×C4×C61—21no—
280C22×C4×C61—21no—
281C22×C4×C61—21no—
282C22×C4×C61—21no—
283C22×C4×C61—21no—
284C22×C4×C61—21no—
285C22×C4×C61—21no—
286C22×C4×C61—21no—
287C22×C4×C61—21no—
288C22×C4×C61—21no—
289C22×C4×C61—21no—
290C22×C4×C61—21no—
291C22×C4×C61—21no—
292C22×C4×C61—21no—
293C22×C4×C61—21no—
294C22×C4×C61—21no—
295C22×C4×C61—21no—
296C22×C4×C61—21no—
297C22×C4×C61—21no—
298C22×C4×C61—21no—
299C22×C4×C61—21no—
300C22×C4×C61—21no—
301C22×C4×C61—21no—
302C22×C4×C61—21no—
303C22×C4×C61—21no—
304C22×C4×C61—21no—
305C22×C4×C61C22×C412yes—
306C22×C4×C61C22×C412yes—
307C22×C4×C61C2×D412yes—
308C22×C4×C61C2×D412yes—
309C22×C4×C61C2×D412yes—
310C22×C4×C61C2×D412yes—
311C22×Dic61—21no—
312C22×Dic61—21no—
313C22×Dic61—21no—
314C22×Dic61—21no—
315C22×Dic61—21no—
316C22×Dic61—21no—
317C22×Dic61—21no—
318C22×Dic61—21no—
319C22×Dic61—21no—
320C22×Dic61—21no—
321C22×Dic61—21no—
322C22×Dic61—21no—
323C22×Dic61—21no—
324C22×Dic61—21no—
325C22×Dic61—21no—
326C22×Dic61—21no—
327C22×Dic61—21no—
328C22×Dic61—21no—
329C22×Dic61—21no—
330C22×Dic61—21no—
331C22×Dic61—21no—
332C22×Dic61—21no—
333C22×Dic61—21no—
334C22×Dic61—21no—
335C22×Dic61—21no—
336C22×Dic61—21no—
337C22×Dic61—21no—
338C22×Dic61—21no—
339C22×Dic61—21no—
340C22×Dic61—21no—
341C22×Dic61—21no—
342C22×Dic61—21no—
343C22×Dic61—21no—
344C22×Dic61—21no—
345C22×Dic61—21no—
346C22×Dic61—21no—
347C22×Dic61C22×C412yes—
348C22×Dic61C22×C412yes—
349C22×Dic61C2×D412yes—
350C22×Dic61C2×D412yes—
351C22×Dic61C2×D412yes—
352C22×Dic61C2×D412yes—
353C2×C4×D61—28no—
354C2×C4×D61—28no—
355C2×C4×D61—28no—
356C2×C4×D61—28no—
357C2×C4×D61—28no—
358C2×C4×D61—28no—
359C2×C4×D61—44no—
360C2×C4×D61—44no—
361C2×C4×D61—44no—
362C2×C4×D61—44no—
363C2×C4×D61—44no—
364C2×C4×D61—44no—
365C2×C4×D61—44no—
366C2×C4×D61—44no—
367C2×C4×D61—44no—
368C2×C4×D61—44no—
369C2×C4×D61—44no—
370C2×C4×D61—44no—
371C2×C4×D61—44no—
372C2×C4×D61—44no—
373C2×C4×D61—44no—
374C2×C4×D61—44no—
375C2×C4×D61—44no—
376C2×C4×D61—44no—
377C2×C4×D61—44no—
378C2×C4×D61—44no—
379C2×C4×D61—44no—
380C2×C4×D61—44no—
381C4⋊C4×C61—44no—
382C22⋊C4×C61—28no—
383C22⋊C4×C61—28no—
384C22⋊C4×C61—44no—
385C22⋊Dic61—28no—
386C22⋊Dic61—28no—
387C22⋊Dic61—44no—
388#11758198—28no—
389#11758198—28no—
390#11758198—28no—
391#11758198—44no—
392#11758198—44no—
393#11758198—44no—
394#11758198—44no—
395#11758198C22⋊C4116yescomplemented
396C4⋊Dic61—44no—
397#11758196—44no—
398#11758196—44no—
399C23×C61—22no—
400C23×C61—22no—
401C23×C61—22no—
402C23×C61—22no—
403C23×C61—22no—
404C23×C61—22no—
405C23×C61—22no—
406C23×C61—22no—
407C23×C61—22no—
408C23×C61—22no—
409C23×C61—22no—
410C23×C61—22no—
411C23×C61—22no—
412C23×C61—22no—
413C23×C61—22no—
414C23×C61—22no—
415C23×C61—22no—
416C23×C61—22no—
417C23×C61—41no—
418C23×C61—41no—
419C23×C61—41no—
420C23×C61—41no—
421C23×C61—41no—
422C23×C61—41no—
423C23×C61—41no—
424C23×C61—41no—
425C23×C61—41no—
426C23×C61—41no—
427C23×C61—41no—
428C23×C61—41no—
429C23×C61—41no—
430C23×C61—41no—
431C23×C61—41no—
432C23×C61—41no—
433C23×C61C2×C4⋊C414yes—
434C23×C61C23×C411yescharacteristic
435C23×C61C22×D411yescharacteristic
436C23×C61C22×D411yescharacteristic
437C23×C61C22×D411yescharacteristic
438C23×C61C22×D411yescharacteristic
439C23×C61C22×D411yescharacteristic
440C23×C61C22×Q811yescharacteristic
441C23×C61C2×#4111yescharacteristic
442C23×C61C2×#4111yescharacteristic
443C23×C61C2×#4111yescharacteristic
444C23×C61C2×#4111yescharacteristic
445C23×C61H(5,𝔽2)11yescharacteristic
446C23×C61H(5,𝔽2)11yescharacteristic
447C23×C61H(5,𝔽2)11yescharacteristic
448C23×C61H(5,𝔽2)11yescharacteristic
449C22×D61—22no—
450C22×D61—22no—
451C22×D61—22no—
452C22×D61—22no—
453C22×D61—22no—
454C22×D61—22no—
455C22×D61—22no—
456C22×D61—22no—
457C22×D61—22no—
458C22×D61—22no—
459C22×D61—22no—
460C22×D61—22no—
461C22×D61—22no—
462C22×D61—22no—
463C22×D61—22no—
464C22×D61—22no—
465C22×D61—22no—
466C22×D61—22no—
467C22×D61—22no—
468C22×D61—22no—
469C22×D61—22no—
470C22×D61—22no—
471C22×D61—22no—
472C22×D61—22no—
473C22×D61—22no—
474C22×D61—22no—
475C22×D61—22no—
476C22×D61—22no—
477C22×D61—22no—
478C22×D61—22no—
479C22×D61—22no—
480C22×D61—22no—
481C22×D61—22no—
482C22×D61—22no—
483C22×D61—22no—
484C22×D61—22no—
485C22×D61—22no—
486C22×D61—22no—
487C22×D61—22no—
488C22×D61—22no—
489C22×D61—22no—
490C22×D61—22no—
491C22×D61—22no—
492C22×D61—22no—
493C22×D61—22no—
494C22×D61—22no—
495C22×D61—22no—
496C22×D61—22no—
497C22×D61—22no—
498C22×D61—22no—
499C22×D61—22no—
500C22×D61—22no—
501C22×D61—22no—
502C22×D61—22no—
503C22×D61—22no—
504C22×D61—22no—
505C22×D61—232no—
506C22×D61—232no—
507C22×D61—416no—
508C22×D61—416no—
509C22×D61—416no—
510C22×D61—416no—
511C22×D61—416no—
512C22×D61—416no—
513C22×D61—416no—
514C22×D61—416no—
515C22×D61—416no—
516C22×D61—416no—
517C22×D61—416no—
518C22×D61—416no—
519C22×D61—416no—
520C22×D61C2×C22⋊C414yes—
521C22×D61C2×C4⋊C414yes—
522C22×D61C2×C4⋊C414yes—
523C22×D61#11714yes—
524C22×D61C4×D414yes—
525C22×D61C4×D414yes—
526C22×D61#12014yes—
527C22×D61#12114yes—
528C22×D61#12114yes—
529C22×D61C22⋊Q814yes—
530C22×D61C22⋊Q814yes—
531C22×D61C22⋊Q814yes—
532C22×D61C22⋊Q814yes—
533C22×D61#12314yes—
534C2×C4×C61—22no—
535C2×C4×C61—22no—
536C2×C4×C61—22no—
537C2×C4×C61—22no—
538C2×C4×C61—22no—
539C2×C4×C61—22no—
540C2×C4×C61—22no—
541C2×C4×C61—22no—
542C2×C4×C61—22no—
543C2×C4×C61—22no—
544C2×C4×C61—22no—
545C2×C4×C61—22no—
546C2×C4×C61—22no—
547C2×C4×C61—22no—
548C2×C4×C61—22no—
549C2×C4×C61—41no—
550C2×C4×C61—41no—
551C2×C4×C61—41no—
552C2×C4×C61—41no—
553C2×C4×C61—41no—
554C2×C4×C61—41no—
555C2×C4×C61—41no—
556C2×C4×C61—41no—
557C2×C4×C61—41no—
558C2×C4×C61—41no—
559C2×C4×C61—41no—
560C2×C4×C61—41no—
561C2×C4×C61—41no—
562C2×C4×C61—41no—
563C2×C4×C61—41no—
564C2×C4×C61—41no—
565C2×C4×C61—41no—
566C2×C4×C61—41no—
567C2×C4×C61—41no—
568C2×C4×C61—41no—
569C2×C4×C61—41no—
570C2×C4×C61—41no—
571C2×C4×C61—41no—
572C2×C4×C61—41no—
573C2×C4×C61—41no—
574C2×C4×C61—41no—
575C2×C4×C61C2×C22⋊C414yescomplemented
576C2×Dic61—22no—
577C2×Dic61—22no—
578C2×Dic61—22no—
579C2×Dic61—22no—
580C2×Dic61—22no—
581C2×Dic61—22no—
582C2×Dic61—22no—
583C2×Dic61—22no—
584C2×Dic61—22no—
585C2×Dic61—22no—
586C2×Dic61—22no—
587C2×Dic61—22no—
588C2×Dic61—22no—
589C2×Dic61—22no—
590C2×Dic61—22no—
591C2×Dic61—41no—
592C2×Dic61—41no—
593C2×Dic61—41no—
594C2×Dic61—41no—
595C2×Dic61—41no—
596C2×Dic61—41no—
597C2×Dic61—41no—
598C2×Dic61—41no—
599C2×Dic61—41no—
600C2×Dic61—41no—
601C2×Dic61—41no—
602C2×Dic61—41no—
603C2×Dic61—41no—
604C2×Dic61—41no—
605C2×Dic61—41no—
606C2×Dic61—41no—
607C2×Dic61—41no—
608C2×Dic61—41no—
609C2×Dic61—41no—
610C2×Dic61—41no—
611C2×Dic61—41no—
612C2×Dic61—41no—
613C2×Dic61—41no—
614C2×Dic61—41no—
615C2×Dic61—41no—
616C2×Dic61—41no—
617C2×Dic61C2×C22⋊C414yescomplemented
618C4×D61—416no—
619C4×D61—416no—
620C4×D61—416no—
621C4×D61—416no—
622#13877—611nomaximal, Sylow
623C22×C61—24no—
624C22×C61—24no—
625C22×C61—24no—
626C22×C61—42no—
627C22×C61—42no—
628C22×C61—42no—
629C22×C61—42no—
630C22×C61—42no—
631C22×C61—42no—
632C22×C61—42no—
633C22×C61—42no—
634C22×C61—42no—
635C22×C61—42no—
636C22×C61—42no—
637C22×C61—42no—
638C22×C61C22×C22⋊C411yescharacteristic
639C22×C61C22×C4⋊C411yescharacteristic
640C22×C61C2×#11711yescharacteristic
641C22×C61C2×C4×D411yescharacteristic
642C22×C61C2×C4×D411yescharacteristic
643C22×C61#51811yescharacteristic
644C22×C61#51811yescharacteristic
645C22×C61C2×#12011yescharacteristic
646C22×C61C2×#12111yescharacteristic
647C22×C61C2×#12111yescharacteristic
648C22×C61C2×C22⋊Q811yescharacteristic
649C22×C61C2×C22⋊Q811yescharacteristic
650C22×C61C2×C22⋊Q811yescharacteristic
651C22×C61C2×C22⋊Q811yescharacteristic
652C22×C61C2×#12311yescharacteristic
653C22×C61#53411yescharacteristic
654C22×C61#53411yescharacteristic
655C22×C61#54311yescharacteristic
656C22×C61#54311yescharacteristic
657C22×C61D4211yescharacteristic
658C22×C61D4211yescharacteristic
659C22×C61D4211yescharacteristic
660C22×C61D4211yescharacteristic
661C22×C61#54611yescharacteristic
662C22×C61#54611yescharacteristic
663C22×C61#54611yescharacteristic
664C22×C61#54611yescharacteristic
665C22×C61#54611yescharacteristic
666C22×C61#54611yescharacteristic
667C22×C61#54611yescharacteristic
668C22×C61#54611yescharacteristic
669C22×C61#55111yescharacteristic
670C22×C61#55111yescharacteristic
671C22×C61#55111yescharacteristic
672C22×C61#55111yescharacteristic
673C2×D61—24no—
674C2×D61—24no—
675C2×D61—24no—
676C2×D61—24no—
677C2×D61—24no—
678C2×D61—24no—
679C2×D61—24no—
680C2×D61—24no—
681C2×D61—24no—
682C2×D61—24no—
683C2×D61—24no—
684C2×D61—24no—
685C2×D61—24no—
686C2×D61—24no—
687C2×D61—24no—
688C2×D61—24no—
689C2×D61—24no—
690C2×D61—24no—
691C2×D61—24no—
692C2×D61—24no—
693C2×D61—24no—
694C2×D61—24no—
695C2×D61—24no—
696C2×D61—24no—
697C2×D61—24no—
698C2×D61—24no—
699C2×D61—24no—
700C2×D61—24no—
701C2×D61—464no—
702C2×D61#38018yescomplemented
703C2×D61#38518yescomplemented
704C4×C61—24no—
705C4×C61—42no—
706C4×C61—42no—
707C4×C61—42no—
708C4×C61—81no—
709C4×C61—81no—
710Dic61—24no—
711Dic61—42no—
712Dic61—42no—
713Dic61—42no—
714Dic61—81no—
715Dic61—81no—
716C23×C22⋊C4—611no—
717C23×C22⋊C4—611no—
718C2×#385—611no—
719C2×#385—611no—
720C2×#380—611no—
721C2×#380—611no—
722C2×#379—611no—
723#1439—611no—
724#1439—611no—
725#1439—611no—
726#1439D6111yescharacteristic, complemented
727C22⋊#95—611no—
728C22⋊#95—611no—
729C22⋊#95—611no—
730C22⋊#95—611no—
731C2×C61—44no—
732C2×C61C2×#38011yescharacteristic
733C2×C61C2×#38511yescharacteristic
734C2×C61#231511yescharacteristic
735C2×C61D4×C22⋊C411yescharacteristic
736C2×C61D4×C22⋊C411yescharacteristic
737C2×C61#234211yescharacteristic
738C2×C61#234211yescharacteristic
739C2×C61#241011yescharacteristic
740C2×C61#241011yescharacteristic
741C2×C61#241211yescharacteristic
742C2×C61#241211yescharacteristic
743C2×C61#243711yescharacteristic
744C2×C61#243711yescharacteristic
745C2×C61#243711yescharacteristic
746C2×C61#243711yescharacteristic
747D61—28no—
748D61—28no—
749C26—611no—
750C24×C4—611no—
751C24×C4—611no—
752C24×C4—611no—
753C24×C4—611no—
754C22×C4⋊C4—611no—
755C22×C4⋊C4—611no—
756C22×C4⋊C4—611no—
757C22×C4⋊C4C2×D6111yescharacteristic, complemented
758C22×C22⋊C4—611no—
759C22×C22⋊C4—611no—
760C22×C22⋊C4—611no—
761C22×C22⋊C4—611no—
762C22×C22⋊C4—611no—
763C22×C22⋊C4—618no—
764C22×C22⋊C4—611no—
765C22×C22⋊C4—611no—
766C22×C22⋊C4—611no—
767C22×C22⋊C4—611no—
768C22×C22⋊C4—611no—
769C22×C22⋊C4—611no—
770C22×C22⋊C4—1224no—
771C22×C22⋊C4—1224no—
772C22×C22⋊C4—1224no—
773C22×C22⋊C4—1224no—
774C22×C22⋊C4—1224no—
775C22×C22⋊C4C2×D6111yescharacteristic
776C22×C22⋊C4C2×D6111yescharacteristic
777C22×C22⋊C4C2×D6111yescharacteristic
778#385—1224no—
779#385—1224no—
780#380—1224no—
781#380—1224no—
782#379—1224no—
783C2×#95—611no—
784C2×#95—611no—
785C2×#95—611no—
786C2×#95—611no—
787C2×#95—611no—
788C2×#95—611no—
789C2×#95—611no—
790C2×#95—611no—
791C2×#95—611no—
792C2×#95C2×D6111yescharacteristic, complemented
793C2×#95C2×D6111yescharacteristic, complemented
794C2×#95C2×D6111yescharacteristic, complemented
795C61#1387711yescharacteristic, complemented, Sylow
796C25—611no—
797C25—611no—
798C25—614no—
799C25—614no—
800C25—614no—
801C25—1222no—
802C25—1222no—
803C25—1222no—
804C25—1222no—
805C25—1222no—
806C25—1222no—
807C25—1222no—
808C25—1222no—
809C25—2441no—
810C25—2441no—
811C25—2441no—
812C25—2441no—
813C25C22×D6111yescharacteristic
814C23×C4—611no—
815C23×C4—611no—
816C23×C4—611no—
817C23×C4—611no—
818C23×C4—614no—
819C23×C4—614no—
820C23×C4—611no—
821C23×C4—611no—
822C23×C4—1222no—
823C23×C4—1222no—
824C23×C4—1222no—
825C23×C4—1222no—
826C23×C4—1222no—
827C23×C4—1222no—
828C23×C4—1222no—
829C23×C4—1222no—
830C23×C4—1222no—
831C23×C4—1222no—
832C23×C4—1222no—
833C23×C4—1222no—
834C23×C4—1222no—
835C23×C4—1222no—
836C23×C4—1222no—
837C23×C4—1222no—
838C23×C4—1222no—
839C23×C4—1222no—
840C23×C4—2441no—
841C23×C4—2441no—
842C23×C4—2441no—
843C23×C4—2441no—
844C23×C4—2441no—
845C23×C4—2441no—
846C23×C4—2441no—
847C23×C4—2441no—
848C23×C4C22×D6111yescharacteristic
849C23×C4C22×D6111yescharacteristic
850C23×C4C22×D6111yescharacteristic
851C23×C4C22×D6111yescharacteristic
852C23×C4C22×D6111yescharacteristic
853C23×C4C22×D6111yescharacteristic
854C2×C4⋊C4—22no—
855C2×C4⋊C4—22no—
856C2×C4⋊C4—41no—
857C2×C4⋊C4—1222no—
858C2×C4⋊C4—1222no—
859C2×C4⋊C4—1222no—
860C2×C4⋊C4—1222no—
861C2×C4⋊C4—1222no—
862C2×C4⋊C4—1222no—
863C2×C4⋊C4—2441no—
864C2×C4⋊C4—2441no—
865C2×C4⋊C4—2441no—
866C2×C22⋊C4—22no—
867C2×C22⋊C4—22no—
868C2×C22⋊C4—22no—
869C2×C22⋊C4—22no—
870C2×C22⋊C4—22no—
871C2×C22⋊C4—22no—
872C2×C22⋊C4—41no—
873C2×C22⋊C4—41no—
874C2×C22⋊C4—614no—
875C2×C22⋊C4—614no—
876C2×C22⋊C4—614no—
877C2×C22⋊C4—614no—
878C2×C22⋊C4—614no—
879C2×C22⋊C4—614no—
880C2×C22⋊C4—614no—
881C2×C22⋊C4—12232no—
882C2×C22⋊C4—12232no—
883C2×C22⋊C4—1222no—
884C2×C22⋊C4—1222no—
885C2×C22⋊C4—1222no—
886C2×C22⋊C4—1222no—
887C2×C22⋊C4—1222no—
888C2×C22⋊C4—1222no—
889C2×C22⋊C4—1222no—
890C2×C22⋊C4—1222no—
891C2×C22⋊C4—1222no—
892C2×C22⋊C4—1222no—
893C2×C22⋊C4—1222no—
894C2×C22⋊C4—1222no—
895C2×C22⋊C4—1222no—
896C2×C22⋊C4—1222no—
897C2×C22⋊C4—1222no—
898C2×C22⋊C4—1222no—
899C2×C22⋊C4—1222no—
900C2×C22⋊C4—1222no—
901C2×C22⋊C4—1222no—
902C2×C22⋊C4—1222no—
903C2×C22⋊C4—1222no—
904C2×C22⋊C4—1222no—
905C2×C22⋊C4—1222no—
906C2×C22⋊C4—1222no—
907C2×C22⋊C4—2441no—
908C2×C22⋊C4—2441no—
909C2×C22⋊C4C4×D6114yescomplemented
910#95—22no—
911#95—22no—
912#95—41no—
913#95—1222no—
914#95—1222no—
915#95—1222no—
916#95—1222no—
917#95—1222no—
918#95—1222no—
919#95—2441no—
920#95—2441no—
921#95—2441no—
922C24—21no—
923C24—21no—
924C24—21no—
925C24—21no—
926C24—21no—
927C24—21no—
928C24—21no—
929C24—21no—
930C24—21no—
931C24—21no—
932C24—21no—
933C24—21no—
934C24—612no—
935C24—612no—
936C24—612no—
937C24—612no—
938C24—612no—
939C24—612no—
940C24—612no—
941C24—612no—
942C24—612no—
943C24—612no—
944C24—612no—
945C24—612no—
946C24—612no—
947C24—612no—
948C24—6116no—
949C24—1228no—
950C24—1228no—
951C24—1228no—
952C24—1228no—
953C24—1228no—
954C24—1228no—
955C24—1228no—
956C24—1228no—
957C24—1228no—
958C24—1228no—
959C24—1228no—
960C24—1228no—
961C24—1221no—
962C24—1221no—
963C24—1221no—
964C24—1221no—
965C24—1221no—
966C24—1221no—
967C24—1221no—
968C24—1221no—
969C24—1221no—
970C24—1221no—
971C24—1221no—
972C24—1221no—
973C24—1221no—
974C24—1221no—
975C24—1221no—
976C24—1221no—
977C24—2444no—
978C24—2444no—
979C24—2444no—
980C24—2444no—
981C24—2444no—
982C24—2444no—
983C24—2444no—
984C24—2444no—
985C24—2444no—
986C24—2444no—
987C24—2444no—
988C24—2444no—
989C24—2444no—
990C24—2444no—
991C24—2444no—
992C24—2444no—
993C24—2444no—
994C24—2444no—
995C24—2444no—
996C24—2444no—
997C24—2444no—
998C24—2444no—
999C24C2×C4×D6112yes—
1000C24D4×D6112yes—
1001C24Q8×D6112yes—
1002C24C23×D6111yescharacteristic
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—21no—
1029C22×C4—21no—
1030C22×C4—21no—
1031C22×C4—21no—
1032C22×C4—21no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—612no—
1040C22×C4—612no—
1041C22×C4—612no—
1042C22×C4—612no—
1043C22×C4—612no—
1044C22×C4—612no—
1045C22×C4—1228no—
1046C22×C4—1228no—
1047C22×C4—1228no—
1048C22×C4—1228no—
1049C22×C4—1228no—
1050C22×C4—1221no—
1051C22×C4—1221no—
1052C22×C4—1221no—
1053C22×C4—1221no—
1054C22×C4—1221no—
1055C22×C4—1221no—
1056C22×C4—1221no—
1057C22×C4—1221no—
1058C22×C4—1221no—
1059C22×C4—1221no—
1060C22×C4—1221no—
1061C22×C4—1221no—
1062C22×C4—1221no—
1063C22×C4—1221no—
1064C22×C4—1221no—
1065C22×C4—1221no—
1066C22×C4—1221no—
1067C22×C4—1221no—
1068C22×C4—1221no—
1069C22×C4—1221no—
1070C22×C4—1221no—
1071C22×C4—1221no—
1072C22×C4—1228no—
1073C22×C4—1221no—
1074C22×C4—1221no—
1075C22×C4—1221no—
1076C22×C4—1221no—
1077C22×C4—1221no—
1078C22×C4—1221no—
1079C22×C4—1221no—
1080C22×C4—1221no—
1081C22×C4—1221no—
1082C22×C4—1221no—
1083C22×C4—1221no—
1084C22×C4—1221no—
1085C22×C4—1221no—
1086C22×C4—1221no—
1087C22×C4—2444no—
1088C22×C4—2444no—
1089C22×C4—2444no—
1090C22×C4—2444no—
1091C22×C4—2444no—
1092C22×C4—2444no—
1093C22×C4—2444no—
1094C22×C4—2444no—
1095C22×C4—2444no—
1096C22×C4—2444no—
1097C22×C4—2444no—
1098C22×C4—2444no—
1099C22×C4—2444no—
1100C22×C4—2444no—
1101C22×C4—2444no—
1102C22×C4—2444no—
1103C22×C4—2444no—
1104C22×C4—2444no—
1105C22×C4—2444no—
1106C22×C4—2444no—
1107C22×C4—2444no—
1108C22×C4—2444no—
1109C22×C4C2×C4×D6112yes—
1110C22×C4C2×C4×D6112yes—
1111C22×C4D4×D6112yes—
1112C22×C4D4×D6112yes—
1113C22×C4D4×D6112yes—
1114C22×C4D4×D6112yes—
1115C4⋊C4—44no—
1116C4⋊C4—2444no—
1117C4⋊C4—2444no—
1118C4⋊C4—2444no—
1119C22⋊C4—28no—
1120C22⋊C4—28no—
1121C22⋊C4—44no—
1122C22⋊C4—6116no—
1123C22⋊C4—1228no—
1124C22⋊C4—1228no—
1125C22⋊C4—1228no—
1126C22⋊C4—1228no—
1127C22⋊C4—1228no—
1128C22⋊C4—2444no—
1129C22⋊C4—2444no—
1130C22⋊C4—2444no—
1131C22⋊C4—2444no—
1132C22⋊C4—2444no—
1133C23—22no—
1134C23—22no—
1135C23—22no—
1136C23—22no—
1137C23—22no—
1138C23—22no—
1139C23—22no—
1140C23—22no—
1141C23—22no—
1142C23—22no—
1143C23—22no—
1144C23—22no—
1145C23—22no—
1146C23—22no—
1147C23—22no—
1148C23—22no—
1149C23—22no—
1150C23—22no—
1151C23—41no—
1152C23—41no—
1153C23—41no—
1154C23—41no—
1155C23—41no—
1156C23—41no—
1157C23—41no—
1158C23—41no—
1159C23—41no—
1160C23—41no—
1161C23—41no—
1162C23—41no—
1163C23—41no—
1164C23—41no—
1165C23—41no—
1166C23—41no—
1167C23—614no—
1168C23—614no—
1169C23—614no—
1170C23—614no—
1171C23—614no—
1172C23—614no—
1173C23—614no—
1174C23—614no—
1175C23—614no—
1176C23—614no—
1177C23—614no—
1178C23—614no—
1179C23—614no—
1180C23—614no—
1181C23—12232no—
1182C23—12232no—
1183C23—1222no—
1184C23—1222no—
1185C23—1222no—
1186C23—1222no—
1187C23—1222no—
1188C23—1222no—
1189C23—1222no—
1190C23—1222no—
1191C23—1222no—
1192C23—1222no—
1193C23—1222no—
1194C23—1222no—
1195C23—1222no—
1196C23—1222no—
1197C23—1222no—
1198C23—1222no—
1199C23—1222no—
1200C23—1222no—
1201C23—1222no—
1202C23—1222no—
1203C23—1222no—
1204C23—1222no—
1205C23—1222no—
1206C23—1222no—
1207C23—1222no—
1208C23—1222no—
1209C23—1222no—
1210C23—1222no—
1211C23—1222no—
1212C23—1222no—
1213C23—1222no—
1214C23—1222no—
1215C23—1222no—
1216C23—1222no—
1217C23—1222no—
1218C23—1222no—
1219C23—1222no—
1220C23—1222no—
1221C23—1222no—
1222C23—1222no—
1223C23—1222no—
1224C23—1222no—
1225C23—1222no—
1226C23—1222no—
1227C23—1222no—
1228C23—1222no—
1229C23—1222no—
1230C23—1222no—
1231C23—1222no—
1232C23—1222no—
1233C23—1222no—
1234C23—1222no—
1235C23—1222no—
1236C23—1222no—
1237C23—1222no—
1238C23—1222no—
1239C23—24416no—
1240C23—24416no—
1241C23—24416no—
1242C23—24416no—
1243C23—24416no—
1244C23—24416no—
1245C23—24416no—
1246C23—24416no—
1247C23—24416no—
1248C23—24416no—
1249C23—24416no—
1250C23—24416no—
1251C23—24416no—
1252C23C4⋊C4×D6114yes—
1253C23C22×C4×D6111yescharacteristic
1254C23C2×D4×D6111yescharacteristic
1255C23C2×D4×D6111yescharacteristic
1256C23C2×D4×D6111yescharacteristic
1257C23C2×D4×D6111yescharacteristic
1258C23C2×D4×D6111yescharacteristic
1259C23C2×Q8×D6111yescharacteristic
1260C23#41×D6111yescharacteristic
1261C23#41×D6111yescharacteristic
1262C23#41×D6111yescharacteristic
1263C23#41×D6111yescharacteristic
1264C23#1451982211yescharacteristic
1265C23#1451982211yescharacteristic
1266C23#1451982311yescharacteristic
1267C23#1451982311yescharacteristic
1268C2×C4—22no—
1269C2×C4—22no—
1270C2×C4—22no—
1271C2×C4—22no—
1272C2×C4—22no—
1273C2×C4—22no—
1274C2×C4—22no—
1275C2×C4—22no—
1276C2×C4—22no—
1277C2×C4—22no—
1278C2×C4—22no—
1279C2×C4—22no—
1280C2×C4—22no—
1281C2×C4—22no—
1282C2×C4—22no—
1283C2×C4—41no—
1284C2×C4—41no—
1285C2×C4—41no—
1286C2×C4—41no—
1287C2×C4—41no—
1288C2×C4—41no—
1289C2×C4—41no—
1290C2×C4—41no—
1291C2×C4—41no—
1292C2×C4—41no—
1293C2×C4—41no—
1294C2×C4—41no—
1295C2×C4—41no—
1296C2×C4—41no—
1297C2×C4—41no—
1298C2×C4—41no—
1299C2×C4—41no—
1300C2×C4—41no—
1301C2×C4—41no—
1302C2×C4—41no—
1303C2×C4—41no—
1304C2×C4—41no—
1305C2×C4—41no—
1306C2×C4—41no—
1307C2×C4—41no—
1308C2×C4—41no—
1309C2×C4—614no—
1310C2×C4—1222no—
1311C2×C4—1222no—
1312C2×C4—1222no—
1313C2×C4—1222no—
1314C2×C4—1222no—
1315C2×C4—1222no—
1316C2×C4—1222no—
1317C2×C4—1222no—
1318C2×C4—1222no—
1319C2×C4—1222no—
1320C2×C4—1222no—
1321C2×C4—1222no—
1322C2×C4—1222no—
1323C2×C4—1222no—
1324C2×C4—1222no—
1325C2×C4—24416no—
1326C2×C4—24416no—
1327C2×C4—24416no—
1328C2×C4—24416no—
1329C2×C4—2441no—
1330C2×C4—2441no—
1331C2×C4—2441no—
1332C2×C4—2441no—
1333C2×C4—2441no—
1334C2×C4—2441no—
1335C2×C4—2441no—
1336C2×C4—2441no—
1337C2×C4—2441no—
1338C2×C4—2441no—
1339C2×C4—2441no—
1340C2×C4—2441no—
1341C2×C4—2441no—
1342C2×C4—2441no—
1343C2×C4—2441no—
1344C2×C4—2441no—
1345C2×C4—2441no—
1346C2×C4—2441no—
1347C2×C4—2441no—
1348C2×C4—2441no—
1349C2×C4—2441no—
1350C2×C4—2441no—
1351C2×C4—2441no—
1352C2×C4—2441no—
1353C2×C4—2441no—
1354C2×C4—2441no—
1355C2×C4C22⋊C4×D6114yescomplemented
1356C22—24no—
1357C22—24no—
1358C22—24no—
1359C22—42no—
1360C22—42no—
1361C22—42no—
1362C22—42no—
1363C22—42no—
1364C22—42no—
1365C22—42no—
1366C22—42no—
1367C22—42no—
1368C22—42no—
1369C22—42no—
1370C22—42no—
1371C22—618no—
1372C22—618no—
1373C22—1224no—
1374C22—1224no—
1375C22—1224no—
1376C22—1224no—
1377C22—1224no—
1378C22—1224no—
1379C22—1224no—
1380C22—1224no—
1381C22—1224no—
1382C22—1224no—
1383C22—1224no—
1384C22—1224no—
1385C22—1224no—
1386C22—1224no—
1387C22—1224no—
1388C22—1224no—
1389C22—1224no—
1390C22—1224no—
1391C22—1224no—
1392C22—1224no—
1393C22—1224no—
1394C22—1224no—
1395C22—1224no—
1396C22—1224no—
1397C22—1224no—
1398C22—1224no—
1399C22—1224no—
1400C22—1224no—
1401C22—24464no—
1402C22C2×C22⋊C4×D6111yescharacteristic
1403C22C2×C4⋊C4×D6111yescharacteristic
1404C22#117×D6111yescharacteristic
1405C22C4×D4×D6111yescharacteristic
1406C22C4×D4×D6111yescharacteristic
1407C22#1684023411yescharacteristic
1408C22#1684023411yescharacteristic
1409C22#120×D6111yescharacteristic
1410C22#121×D6111yescharacteristic
1411C22#121×D6111yescharacteristic
1412C22C22⋊Q8×D6111yescharacteristic
1413C22C22⋊Q8×D6111yescharacteristic
1414C22C22⋊Q8×D6111yescharacteristic
1415C22C22⋊Q8×D6111yescharacteristic
1416C22#123×D6111yescharacteristic
1417C22#1684032211yescharacteristic
1418C22#1684032311yescharacteristic
1419C22#1684038711yescharacteristic
1420C22#1684038711yescharacteristic
1421C22#1684039411yescharacteristic
1422C22#1684039611yescharacteristic
1423C22#1684039611yescharacteristic
1424C22#1684039711yescharacteristic
1425C22#1684040111yescharacteristic
1426C22#1684040111yescharacteristic
1427C22#1684040411yescharacteristic
1428C22#1684040411yescharacteristic
1429C22#1684040511yescharacteristic
1430C22#1684040511yescharacteristic
1431C22#1684040911yescharacteristic
1432C22#1684040911yescharacteristic
1433C22#1684043711yescharacteristic
1434C22#1684043711yescharacteristic
1435C22#1684044011yescharacteristic
1436C22#1684044211yescharacteristic
1437C4—24no—
1438C4—42no—
1439C4—42no—
1440C4—42no—
1441C4—81no—
1442C4—81no—
1443C4—1224no—
1444C4—4881no—
1445C4—4881no—
1446C4—2442no—
1447C4—2442no—
1448C4—2442no—
1449C2—44no—
1450C2—1228no—
1451C2—1228no—
1452C2#380×D6111yescharacteristic
1453C2#385×D6111yescharacteristic
1454C2#2144843011yescharacteristic
1455C2#2144863711yescharacteristic
1456C2#2144864011yescharacteristic
1457C2#2144866311yescharacteristic
1458C2#2144866711yescharacteristic
1459C2#2144918611yescharacteristic
1460C2#2144918811yescharacteristic
1461C2#2144920811yescharacteristic
1462C2#2144921011yescharacteristic
1463C2#2144947911yescharacteristic
1464C2#2144948111yescharacteristic
1465C2#2144948111yescharacteristic
1466C2#2144948611yescharacteristic
subgroupG/H
center, FrattiniC24C23×D61
commutatorC23×C61C23×C4
FittingC61×#1439C2
socle, cosocleC24×C61C24
prime radicalC25×D61C22
hypercenter#1439D61
hypocenterC61#13877
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C24 ◁ #1439

Complements

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

NH ≅ G/Ntype
3. C2×#16839636C2semidirect
4. C2×#16839633C2semidirect
5. C2×#16839621C2semidirect
6. C2×#16839619C2semidirect
8. #21444064C2semidirect
9. #21444062C2semidirect
10. #21444062C2semidirect
11. #21444040C2semidirect
12. #21444040C2semidirect
13. #21444040C2semidirect
14. #21444040C2semidirect
15. C61×#1439C2semidirect
21. C22×C4⋊Dic61C22semidirect
22. C22×#11758196C22semidirect
23. C22×#11758196C22semidirect
40. C2×C22⋊C4×D61C4semidirect
46. C2×#14519684C22semidirect
47. C2×#14519684C22semidirect
48. C2×#14519684C22semidirect
49. C2×#14519684C22semidirect
50. C2×#14519684C22semidirect
51. C2×#14519684C22semidirect
52. C2×#14519684C22semidirect
53. C2×#14519684C22semidirect
54. C2×#14519684C22semidirect
55. C22×C4⋊C4×C61C22semidirect
59. C2×#95×C61C22semidirect
60. C2×#95×C61C22semidirect
61. C2×#95×C61C22semidirect
111. C22×C4×D61C2×C4semidirect
112. C22×C4×D61C2×C4semidirect
130. C2×C22⋊Dic61C2×C4semidirect
184. C2×C22⋊C4×C61C2×C4semidirect
254. C23×D61C4⋊C4semidirect
395. #11758198C22⋊C4semidirect
575. C2×C4×C61C2×C22⋊C4semidirect
617. C2×Dic61C2×C22⋊C4semidirect
702. C2×D61#380semidirect
703. C2×D61#385semidirect
726. #1439D61semidirect
757. C22×C4⋊C4C2×D61semidirect
792. C2×#95C2×D61semidirect
793. C2×#95C2×D61semidirect
794. C2×#95C2×D61semidirect
795. C61#13877semidirect
909. C2×C22⋊C4C4×D61semidirect
1355. C2×C4C22⋊C4×D61semidirect

Maximal subgroups

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

subgroupindex
C22×C22⋊C4×D612
C2×#168396362
C2×#168396332
C2×#168396212
C2×#168396192
C2×#168396172
#214440642
#214440622
#214440402
C61×#14392
#1387761